TSTP Solution File: SET842-1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SET842-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n004.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 : Tue Jul 19 02:17:24 EDT 2022
% Result : Unsatisfiable 1.60s 1.79s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(clsarity_set_4,axiom,
class_Nat_Opower(tc_set(T_1)),
input ).
fof(clsarity_set_4_0,plain,
! [T_1] :
( class_Nat_Opower(tc_set(T_1))
| $false ),
inference(orientation,[status(thm)],[clsarity_set_4]) ).
cnf(clsarity_set_2,axiom,
class_Orderings_Oorder(tc_set(T_1)),
input ).
fof(clsarity_set_2_0,plain,
! [T_1] :
( class_Orderings_Oorder(tc_set(T_1))
| $false ),
inference(orientation,[status(thm)],[clsarity_set_2]) ).
cnf(clsarity_set_1,axiom,
class_Orderings_Oord(tc_set(T_1)),
input ).
fof(clsarity_set_1_0,plain,
! [T_1] :
( class_Orderings_Oord(tc_set(T_1))
| $false ),
inference(orientation,[status(thm)],[clsarity_set_1]) ).
cnf(clsarity_set_0,axiom,
class_HOL_Ominus(tc_set(T_1)),
input ).
fof(clsarity_set_0_0,plain,
! [T_1] :
( class_HOL_Ominus(tc_set(T_1))
| $false ),
inference(orientation,[status(thm)],[clsarity_set_0]) ).
cnf(clsarity_nat_9,axiom,
class_HOL_Ominus(tc_nat),
input ).
fof(clsarity_nat_9_0,plain,
( class_HOL_Ominus(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_9]) ).
cnf(clsarity_nat_8,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
input ).
fof(clsarity_nat_8_0,plain,
( class_Wellfounded__Recursion_Owellorder(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_8]) ).
cnf(clsarity_nat_7,axiom,
class_Orderings_Olinorder(tc_nat),
input ).
fof(clsarity_nat_7_0,plain,
( class_Orderings_Olinorder(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_7]) ).
cnf(clsarity_nat_6,axiom,
class_LOrder_Olorder(tc_nat),
input ).
fof(clsarity_nat_6_0,plain,
( class_LOrder_Olorder(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_6]) ).
cnf(clsarity_nat_5,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
input ).
fof(clsarity_nat_5_0,plain,
( class_LOrder_Ojoin__semilorder(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_5]) ).
cnf(clsarity_nat_47,axiom,
class_Parity_Oeven__odd(tc_nat),
input ).
fof(clsarity_nat_47_0,plain,
( class_Parity_Oeven__odd(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_47]) ).
cnf(clsarity_nat_46,axiom,
class_Numeral_Onumber(tc_nat),
input ).
fof(clsarity_nat_46_0,plain,
( class_Numeral_Onumber(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_46]) ).
cnf(clsarity_nat_45,axiom,
class_Power_Orecpower(tc_nat),
input ).
fof(clsarity_nat_45_0,plain,
( class_Power_Orecpower(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_45]) ).
cnf(clsarity_nat_44,axiom,
class_Divides_Odiv(tc_nat),
input ).
fof(clsarity_nat_44_0,plain,
( class_Divides_Odiv(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_44]) ).
cnf(clsarity_nat_43,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
input ).
fof(clsarity_nat_43_0,plain,
( class_Ring__and__Field_Oordered__semidom(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_43]) ).
cnf(clsarity_nat_42,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
input ).
fof(clsarity_nat_42_0,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_42]) ).
cnf(clsarity_nat_41,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
input ).
fof(clsarity_nat_41_0,plain,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_41]) ).
cnf(clsarity_nat_40,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
input ).
fof(clsarity_nat_40_0,plain,
( class_Ring__and__Field_Opordered__comm__semiring(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_40]) ).
cnf(clsarity_nat_4,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
input ).
fof(clsarity_nat_4_0,plain,
( class_LOrder_Omeet__semilorder(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_4]) ).
cnf(clsarity_nat_39,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
input ).
fof(clsarity_nat_39_0,plain,
( class_Ring__and__Field_Oordered__semiring__strict(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_39]) ).
cnf(clsarity_nat_38,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
input ).
fof(clsarity_nat_38_0,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_38]) ).
cnf(clsarity_nat_37,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
input ).
fof(clsarity_nat_37_0,plain,
( class_Ring__and__Field_Opordered__semiring(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_37]) ).
cnf(clsarity_nat_36,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
input ).
fof(clsarity_nat_36_0,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_36]) ).
cnf(clsarity_nat_35,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
input ).
fof(clsarity_nat_35_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_35]) ).
cnf(clsarity_nat_34,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
input ).
fof(clsarity_nat_34_0,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_34]) ).
cnf(clsarity_nat_33,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
input ).
fof(clsarity_nat_33_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_33]) ).
cnf(clsarity_nat_32,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
input ).
fof(clsarity_nat_32_0,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_32]) ).
cnf(clsarity_nat_31,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
input ).
fof(clsarity_nat_31_0,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_31]) ).
cnf(clsarity_nat_30,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
input ).
fof(clsarity_nat_30_0,plain,
( class_Ring__and__Field_Osemiring__1__cancel(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_30]) ).
cnf(clsarity_nat_3,axiom,
class_Orderings_Oorder(tc_nat),
input ).
fof(clsarity_nat_3_0,plain,
( class_Orderings_Oorder(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_3]) ).
cnf(clsarity_nat_29,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
input ).
fof(clsarity_nat_29_0,plain,
( class_Ring__and__Field_Osemiring__0__cancel(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_29]) ).
cnf(clsarity_nat_28,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
input ).
fof(clsarity_nat_28_0,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_28]) ).
cnf(clsarity_nat_27,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
input ).
fof(clsarity_nat_27_0,plain,
( class_OrderedGroup_Ocancel__semigroup__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_27]) ).
cnf(clsarity_nat_26,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
input ).
fof(clsarity_nat_26_0,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_26]) ).
cnf(clsarity_nat_25,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
input ).
fof(clsarity_nat_25_0,plain,
( class_Ring__and__Field_Osemiring__1(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_25]) ).
cnf(clsarity_nat_24,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
input ).
fof(clsarity_nat_24_0,plain,
( class_OrderedGroup_Ocomm__monoid__mult(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_24]) ).
cnf(clsarity_nat_23,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
input ).
fof(clsarity_nat_23_0,plain,
( class_OrderedGroup_Omonoid__mult(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_23]) ).
cnf(clsarity_nat_22,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
input ).
fof(clsarity_nat_22_0,plain,
( class_Ring__and__Field_Ocomm__semiring__0(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_22]) ).
cnf(clsarity_nat_21,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
input ).
fof(clsarity_nat_21_0,plain,
( class_Ring__and__Field_Osemiring__0(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_21]) ).
cnf(clsarity_nat_20,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
input ).
fof(clsarity_nat_20_0,plain,
( class_OrderedGroup_Ocomm__monoid__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_20]) ).
cnf(clsarity_nat_2,axiom,
class_Orderings_Oord(tc_nat),
input ).
fof(clsarity_nat_2_0,plain,
( class_Orderings_Oord(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_2]) ).
cnf(clsarity_nat_19,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
input ).
fof(clsarity_nat_19_0,plain,
( class_Ring__and__Field_Ocomm__semiring(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_19]) ).
cnf(clsarity_nat_18,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
input ).
fof(clsarity_nat_18_0,plain,
( class_Ring__and__Field_Osemiring(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_18]) ).
cnf(clsarity_nat_17,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
input ).
fof(clsarity_nat_17_0,plain,
( class_OrderedGroup_Oab__semigroup__mult(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_17]) ).
cnf(clsarity_nat_16,axiom,
class_OrderedGroup_Osemigroup__mult(tc_nat),
input ).
fof(clsarity_nat_16_0,plain,
( class_OrderedGroup_Osemigroup__mult(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_16]) ).
cnf(clsarity_nat_15,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
input ).
fof(clsarity_nat_15_0,plain,
( class_OrderedGroup_Oab__semigroup__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_15]) ).
cnf(clsarity_nat_14,axiom,
class_OrderedGroup_Osemigroup__add(tc_nat),
input ).
fof(clsarity_nat_14_0,plain,
( class_OrderedGroup_Osemigroup__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_14]) ).
cnf(clsarity_nat_13,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
input ).
fof(clsarity_nat_13_0,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_13]) ).
cnf(clsarity_nat_12,axiom,
class_Nat_Opower(tc_nat),
input ).
fof(clsarity_nat_12_0,plain,
( class_Nat_Opower(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_12]) ).
cnf(clsarity_nat_11,axiom,
class_HOL_Otimes(tc_nat),
input ).
fof(clsarity_nat_11_0,plain,
( class_HOL_Otimes(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_11]) ).
cnf(clsarity_nat_10,axiom,
class_HOL_Oplus(tc_nat),
input ).
fof(clsarity_nat_10_0,plain,
( class_HOL_Oplus(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_10]) ).
cnf(clsarity_nat_1,axiom,
class_HOL_Ozero(tc_nat),
input ).
fof(clsarity_nat_1_0,plain,
( class_HOL_Ozero(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_1]) ).
cnf(clsarity_nat_0,axiom,
class_HOL_Oone(tc_nat),
input ).
fof(clsarity_nat_0_0,plain,
( class_HOL_Oone(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat_0]) ).
cnf(clsarity_fun_1,axiom,
class_Nat_Opower(tc_fun(T_2,T_1)),
input ).
fof(clsarity_fun_1_0,plain,
! [T_1,T_2] :
( class_Nat_Opower(tc_fun(T_2,T_1))
| $false ),
inference(orientation,[status(thm)],[clsarity_fun_1]) ).
cnf(clsarity_bool_0,axiom,
class_Finite__Set_Ofinite(tc_bool),
input ).
fof(clsarity_bool_0_0,plain,
( class_Finite__Set_Ofinite(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool_0]) ).
cnf(clsarity_Product____Type__Ounit_0,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
input ).
fof(clsarity_Product____Type__Ounit_0_0,plain,
( class_Finite__Set_Ofinite(tc_Product__Type_Ounit)
| $false ),
inference(orientation,[status(thm)],[clsarity_Product____Type__Ounit_0]) ).
cnf(clsarity_IntDef__Oint_9,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_9_0,plain,
( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_9]) ).
cnf(clsarity_IntDef__Oint_8,axiom,
class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_8_0,plain,
( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_8]) ).
cnf(clsarity_IntDef__Oint_7,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_7_0,plain,
( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_7]) ).
cnf(clsarity_IntDef__Oint_64,axiom,
class_Parity_Oeven__odd(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_64_0,plain,
( class_Parity_Oeven__odd(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_64]) ).
cnf(clsarity_IntDef__Oint_63,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_63_0,plain,
( class_Power_Orecpower(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_63]) ).
cnf(clsarity_IntDef__Oint_62,axiom,
class_Nat_Opower(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_62_0,plain,
( class_Nat_Opower(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_62]) ).
cnf(clsarity_IntDef__Oint_61,axiom,
class_Divides_Odiv(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_61_0,plain,
( class_Divides_Odiv(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_61]) ).
cnf(clsarity_IntDef__Oint_60,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_60_0,plain,
( class_Numeral_Onumber__ring(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_60]) ).
cnf(clsarity_IntDef__Oint_6,axiom,
class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_6_0,plain,
( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_6]) ).
cnf(clsarity_IntDef__Oint_59,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_59_0,plain,
( class_Numeral_Onumber(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_59]) ).
cnf(clsarity_IntDef__Oint_58,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_58_0,plain,
( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_58]) ).
cnf(clsarity_IntDef__Oint_57,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_57_0,plain,
( class_Ring__and__Field_Oidom(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_57]) ).
cnf(clsarity_IntDef__Oint_56,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_56_0,plain,
( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_56]) ).
cnf(clsarity_IntDef__Oint_55,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_55_0,plain,
( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_55]) ).
cnf(clsarity_IntDef__Oint_54,axiom,
class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_54_0,plain,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_54]) ).
cnf(clsarity_IntDef__Oint_53,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_53_0,plain,
( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_53]) ).
cnf(clsarity_IntDef__Oint_52,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_52_0,plain,
( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_52]) ).
cnf(clsarity_IntDef__Oint_51,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_51_0,plain,
( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_51]) ).
cnf(clsarity_IntDef__Oint_50,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_50_0,plain,
( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_50]) ).
cnf(clsarity_IntDef__Oint_5,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_5_0,plain,
( class_Orderings_Oord(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_5]) ).
cnf(clsarity_IntDef__Oint_49,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_49_0,plain,
( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_49]) ).
cnf(clsarity_IntDef__Oint_48,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_48_0,plain,
( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_48]) ).
cnf(clsarity_IntDef__Oint_47,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_47_0,plain,
( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_47]) ).
cnf(clsarity_IntDef__Oint_46,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_46_0,plain,
( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_46]) ).
cnf(clsarity_IntDef__Oint_45,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_45_0,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_45]) ).
cnf(clsarity_IntDef__Oint_44,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_44_0,plain,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_44]) ).
cnf(clsarity_IntDef__Oint_43,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_43_0,plain,
( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_43]) ).
cnf(clsarity_IntDef__Oint_42,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_42_0,plain,
( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_42]) ).
cnf(clsarity_IntDef__Oint_41,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_41_0,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_41]) ).
cnf(clsarity_IntDef__Oint_40,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_40_0,plain,
( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_40]) ).
cnf(clsarity_IntDef__Oint_4,axiom,
class_HOL_Ozero(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_4_0,plain,
( class_HOL_Ozero(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_4]) ).
cnf(clsarity_IntDef__Oint_39,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_39_0,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_39]) ).
cnf(clsarity_IntDef__Oint_38,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_38_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_38]) ).
cnf(clsarity_IntDef__Oint_37,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_37_0,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_37]) ).
cnf(clsarity_IntDef__Oint_36,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_36_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_36]) ).
cnf(clsarity_IntDef__Oint_35,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_35_0,plain,
( class_Orderings_Olinorder(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_35]) ).
cnf(clsarity_IntDef__Oint_34,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_34_0,plain,
( class_LOrder_Olorder(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_34]) ).
cnf(clsarity_IntDef__Oint_33,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_33_0,plain,
( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_33]) ).
cnf(clsarity_IntDef__Oint_32,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_32_0,plain,
( class_LOrder_Omeet__semilorder(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_32]) ).
cnf(clsarity_IntDef__Oint_31,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_31_0,plain,
( class_Orderings_Oorder(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_31]) ).
cnf(clsarity_IntDef__Oint_30,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_30_0,plain,
( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_30]) ).
cnf(clsarity_IntDef__Oint_3,axiom,
class_HOL_Otimes(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_3_0,plain,
( class_HOL_Otimes(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_3]) ).
cnf(clsarity_IntDef__Oint_29,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_29_0,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_29]) ).
cnf(clsarity_IntDef__Oint_28,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_28_0,plain,
( class_Ring__and__Field_Oring__1(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_28]) ).
cnf(clsarity_IntDef__Oint_27,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_27_0,plain,
( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_27]) ).
cnf(clsarity_IntDef__Oint_26,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_26_0,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_26]) ).
cnf(clsarity_IntDef__Oint_25,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_25_0,plain,
( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_25]) ).
cnf(clsarity_IntDef__Oint_24,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_24_0,plain,
( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_24]) ).
cnf(clsarity_IntDef__Oint_23,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_23_0,plain,
( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_23]) ).
cnf(clsarity_IntDef__Oint_22,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_22_0,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_22]) ).
cnf(clsarity_IntDef__Oint_21,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_21_0,plain,
( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_21]) ).
cnf(clsarity_IntDef__Oint_20,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_20_0,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_20]) ).
cnf(clsarity_IntDef__Oint_2,axiom,
class_HOL_Oplus(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_2_0,plain,
( class_HOL_Oplus(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_2]) ).
cnf(clsarity_IntDef__Oint_19,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_19_0,plain,
( class_Ring__and__Field_Oring(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_19]) ).
cnf(clsarity_IntDef__Oint_18,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_18_0,plain,
( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_18]) ).
cnf(clsarity_IntDef__Oint_17,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_17_0,plain,
( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_17]) ).
cnf(clsarity_IntDef__Oint_16,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_16_0,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_16]) ).
cnf(clsarity_IntDef__Oint_15,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_15_0,plain,
( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_15]) ).
cnf(clsarity_IntDef__Oint_14,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_14_0,plain,
( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_14]) ).
cnf(clsarity_IntDef__Oint_13,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_13_0,plain,
( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_13]) ).
cnf(clsarity_IntDef__Oint_12,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_12_0,plain,
( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_12]) ).
cnf(clsarity_IntDef__Oint_11,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_11_0,plain,
( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_11]) ).
cnf(clsarity_IntDef__Oint_10,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_10_0,plain,
( class_Ring__and__Field_Osemiring(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_10]) ).
cnf(clsarity_IntDef__Oint_1,axiom,
class_HOL_Oone(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_1_0,plain,
( class_HOL_Oone(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_1]) ).
cnf(clsarity_IntDef__Oint_0,axiom,
class_HOL_Ominus(tc_IntDef_Oint),
input ).
fof(clsarity_IntDef__Oint_0_0,plain,
( class_HOL_Ominus(tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_IntDef__Oint_0]) ).
cnf(cls_Wellfounded__Relations_Owf__less__than_0,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
input ).
fof(cls_Wellfounded__Relations_Owf__less__than_0_0,plain,
( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Wellfounded__Relations_Owf__less__than_0]) ).
cnf(cls_Wellfounded__Relations_Otrans__less__than_0,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
input ).
fof(cls_Wellfounded__Relations_Otrans__less__than_0_0,plain,
( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Wellfounded__Relations_Otrans__less__than_0]) ).
cnf(cls_Wellfounded__Recursion_Owf__empty_0,axiom,
c_Wellfounded__Recursion_Owf(c_emptyset,T_a),
input ).
fof(cls_Wellfounded__Recursion_Owf__empty_0_0,plain,
! [T_a] :
( c_Wellfounded__Recursion_Owf(c_emptyset,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Wellfounded__Recursion_Owf__empty_0]) ).
cnf(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,
c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)),
input ).
fof(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0_0,plain,
! [T_a,V_a,V_r] :
( c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| $false ),
inference(orientation,[status(thm)],[cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0]) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(V_A,V_A,tc_set(T_a)),
input ).
fof(cls_Set_Osubset__refl_0_0,plain,
! [T_a,V_A] :
( c_lessequals(V_A,V_A,tc_set(T_a))
| $false ),
inference(orientation,[status(thm)],[cls_Set_Osubset__refl_0]) ).
cnf(cls_Set_OsingletonI_0,axiom,
c_in(V_a,c_insert(V_a,c_emptyset,T_a),T_a),
input ).
fof(cls_Set_OsingletonI_0_0,plain,
! [T_a,V_a] :
( c_in(V_a,c_insert(V_a,c_emptyset,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Set_OsingletonI_0]) ).
cnf(cls_Set_Oempty__subsetI_0,axiom,
c_lessequals(c_emptyset,V_A,tc_set(T_a)),
input ).
fof(cls_Set_Oempty__subsetI_0_0,plain,
! [T_a,V_A] :
( c_lessequals(c_emptyset,V_A,tc_set(T_a))
| $false ),
inference(orientation,[status(thm)],[cls_Set_Oempty__subsetI_0]) ).
cnf(cls_Set_OUNIV__I_0,axiom,
c_in(V_x,c_UNIV,T_a),
input ).
fof(cls_Set_OUNIV__I_0_0,plain,
! [T_a,V_x] :
( c_in(V_x,c_UNIV,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Set_OUNIV__I_0]) ).
cnf(cls_SetInterval_Ofinite__lessThan_0,axiom,
c_in(c_SetInterval_OlessThan(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
input ).
fof(cls_SetInterval_Ofinite__lessThan_0_0,plain,
! [V_k] :
( c_in(c_SetInterval_OlessThan(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| $false ),
inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__lessThan_0]) ).
cnf(cls_SetInterval_Ofinite__greaterThanLessThan__int_0,axiom,
c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
input ).
fof(cls_SetInterval_Ofinite__greaterThanLessThan__int_0_0,plain,
! [V_l,V_u] :
( c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| $false ),
inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__greaterThanLessThan__int_0]) ).
cnf(cls_SetInterval_Ofinite__greaterThanLessThan_0,axiom,
c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
input ).
fof(cls_SetInterval_Ofinite__greaterThanLessThan_0_0,plain,
! [V_l,V_u] :
( c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| $false ),
inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__greaterThanLessThan_0]) ).
cnf(cls_SetInterval_Ofinite__greaterThanAtMost__int_0,axiom,
c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
input ).
fof(cls_SetInterval_Ofinite__greaterThanAtMost__int_0_0,plain,
! [V_l,V_u] :
( c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| $false ),
inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__greaterThanAtMost__int_0]) ).
cnf(cls_SetInterval_Ofinite__greaterThanAtMost_0,axiom,
c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
input ).
fof(cls_SetInterval_Ofinite__greaterThanAtMost_0_0,plain,
! [V_l,V_u] :
( c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| $false ),
inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__greaterThanAtMost_0]) ).
cnf(cls_SetInterval_Ofinite__atMost_0,axiom,
c_in(c_SetInterval_OatMost(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
input ).
fof(cls_SetInterval_Ofinite__atMost_0_0,plain,
! [V_k] :
( c_in(c_SetInterval_OatMost(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| $false ),
inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__atMost_0]) ).
cnf(cls_SetInterval_Ofinite__atLeastLessThan__int_0,axiom,
c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
input ).
fof(cls_SetInterval_Ofinite__atLeastLessThan__int_0_0,plain,
! [V_l,V_u] :
( c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| $false ),
inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__atLeastLessThan__int_0]) ).
cnf(cls_SetInterval_Ofinite__atLeastLessThan_0,axiom,
c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
input ).
fof(cls_SetInterval_Ofinite__atLeastLessThan_0_0,plain,
! [V_l,V_u] :
( c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| $false ),
inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__atLeastLessThan_0]) ).
cnf(cls_SetInterval_Ofinite__atLeastAtMost__int_0,axiom,
c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
input ).
fof(cls_SetInterval_Ofinite__atLeastAtMost__int_0_0,plain,
! [V_l,V_u] :
( c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| $false ),
inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__atLeastAtMost__int_0]) ).
cnf(cls_SetInterval_Ofinite__atLeastAtMost_0,axiom,
c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
input ).
fof(cls_SetInterval_Ofinite__atLeastAtMost_0_0,plain,
! [V_l,V_u] :
( c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| $false ),
inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__atLeastAtMost_0]) ).
cnf(cls_Nat_Ozero__less__Suc_0,axiom,
c_less(c_0,c_Suc(V_n),tc_nat),
input ).
fof(cls_Nat_Ozero__less__Suc_0_0,plain,
! [V_n] :
( c_less(c_0,c_Suc(V_n),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Ozero__less__Suc_0]) ).
cnf(cls_Nat_Oless__irrefl_0,axiom,
~ c_less(V_n,V_n,tc_nat),
input ).
fof(cls_Nat_Oless__irrefl_0_0,plain,
! [V_n] :
( ~ c_less(V_n,V_n,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Oless__irrefl_0]) ).
cnf(cls_Nat_OlessI_0,axiom,
c_less(V_n,c_Suc(V_n),tc_nat),
input ).
fof(cls_Nat_OlessI_0_0,plain,
! [V_n] :
( c_less(V_n,c_Suc(V_n),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_OlessI_0]) ).
cnf(cls_Nat_Ole0_0,axiom,
c_lessequals(c_0,V_n,tc_nat),
input ).
fof(cls_Nat_Ole0_0_0,plain,
! [V_n] :
( c_lessequals(c_0,V_n,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Ole0_0]) ).
cnf(cls_List_Olists_ONil_0,axiom,
c_in(c_List_Olist_ONil,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)),
input ).
fof(cls_List_Olists_ONil_0_0,plain,
! [T_a,V_A] :
( c_in(c_List_Olist_ONil,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
| $false ),
inference(orientation,[status(thm)],[cls_List_Olists_ONil_0]) ).
cnf(cls_List_Olength__remdups__leq_0,axiom,
c_lessequals(c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),
input ).
fof(cls_List_Olength__remdups__leq_0_0,plain,
! [T_a,V_xs] :
( c_lessequals(c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_List_Olength__remdups__leq_0]) ).
cnf(cls_List_Ofinite__set_0,axiom,
c_in(c_List_Oset(V_xs,T_a),c_Finite__Set_OFinites,tc_set(T_a)),
input ).
fof(cls_List_Ofinite__set_0_0,plain,
! [T_a,V_xs] :
( c_in(c_List_Oset(V_xs,T_a),c_Finite__Set_OFinites,tc_set(T_a))
| $false ),
inference(orientation,[status(thm)],[cls_List_Ofinite__set_0]) ).
cnf(cls_List_Odistinct__remdups_0,axiom,
c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a),
input ).
fof(cls_List_Odistinct__remdups_0_0,plain,
! [T_a,V_xs] :
( c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_List_Odistinct__remdups_0]) ).
cnf(cls_IntDiv_Ozdvd__triv__right_0,axiom,
c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_IntDef_Oint),tc_IntDef_Oint),
input ).
fof(cls_IntDiv_Ozdvd__triv__right_0_0,plain,
! [V_k,V_m] :
( c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_IntDef_Oint),tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[cls_IntDiv_Ozdvd__triv__right_0]) ).
cnf(cls_IntDiv_Ozdvd__triv__left_0,axiom,
c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_IntDef_Oint),tc_IntDef_Oint),
input ).
fof(cls_IntDiv_Ozdvd__triv__left_0_0,plain,
! [V_k,V_m] :
( c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_IntDef_Oint),tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[cls_IntDiv_Ozdvd__triv__left_0]) ).
cnf(cls_IntDiv_Ozdvd__1__left_0,axiom,
c_Divides_Oop_Advd(c_1,V_m,tc_IntDef_Oint),
input ).
fof(cls_IntDiv_Ozdvd__1__left_0_0,plain,
! [V_m] :
( c_Divides_Oop_Advd(c_1,V_m,tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[cls_IntDiv_Ozdvd__1__left_0]) ).
cnf(cls_IntDiv_Ozdvd__0__right_0,axiom,
c_Divides_Oop_Advd(V_m,c_0,tc_IntDef_Oint),
input ).
fof(cls_IntDiv_Ozdvd__0__right_0_0,plain,
! [V_m] :
( c_Divides_Oop_Advd(V_m,c_0,tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[cls_IntDiv_Ozdvd__0__right_0]) ).
cnf(cls_IntDef_Onegative__zless_0,axiom,
c_less(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint),
input ).
fof(cls_IntDef_Onegative__zless_0_0,plain,
! [V_m,V_n] :
( c_less(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[cls_IntDef_Onegative__zless_0]) ).
cnf(cls_IntDef_Onegative__zle_0,axiom,
c_lessequals(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint),
input ).
fof(cls_IntDef_Onegative__zle_0_0,plain,
! [V_m,V_n] :
( c_lessequals(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[cls_IntDef_Onegative__zle_0]) ).
cnf(cls_GCD_Ogcd__dvd2_0,axiom,
c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_n,tc_nat),
input ).
fof(cls_GCD_Ogcd__dvd2_0_0,plain,
! [V_m,V_n] :
( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_n,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_GCD_Ogcd__dvd2_0]) ).
cnf(cls_GCD_Ogcd__dvd1_0,axiom,
c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_m,tc_nat),
input ).
fof(cls_GCD_Ogcd__dvd1_0_0,plain,
! [V_m,V_n] :
( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_m,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_GCD_Ogcd__dvd1_0]) ).
cnf(cls_Finite__Set_OFinites_OemptyI_0,axiom,
c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(T_a)),
input ).
fof(cls_Finite__Set_OFinites_OemptyI_0_0,plain,
! [T_a] :
( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(T_a))
| $false ),
inference(orientation,[status(thm)],[cls_Finite__Set_OFinites_OemptyI_0]) ).
cnf(cls_Divides_Odvd__triv__right_0,axiom,
c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_nat),tc_nat),
input ).
fof(cls_Divides_Odvd__triv__right_0_0,plain,
! [V_k,V_m] :
( c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Divides_Odvd__triv__right_0]) ).
cnf(cls_Divides_Odvd__triv__left_0,axiom,
c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_nat),tc_nat),
input ).
fof(cls_Divides_Odvd__triv__left_0_0,plain,
! [V_k,V_m] :
( c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Divides_Odvd__triv__left_0]) ).
cnf(cls_Divides_Odvd__1__left_0,axiom,
c_Divides_Oop_Advd(c_Suc(c_0),V_k,tc_nat),
input ).
fof(cls_Divides_Odvd__1__left_0_0,plain,
! [V_k] :
( c_Divides_Oop_Advd(c_Suc(c_0),V_k,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Divides_Odvd__1__left_0]) ).
cnf(cls_Divides_Odvd__0__right_0,axiom,
c_Divides_Oop_Advd(V_m,c_0,tc_nat),
input ).
fof(cls_Divides_Odvd__0__right_0_0,plain,
! [V_m] :
( c_Divides_Oop_Advd(V_m,c_0,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Divides_Odvd__0__right_0]) ).
cnf(cls_Sum__Type_OInr__not__Inl__iff1_0,axiom,
c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b),
input ).
fof(cls_Sum__Type_OInr__not__Inl__iff1_0_0,plain,
! [T_a,T_b,V_a,V_b] :
( c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_Sum__Type_OInr__not__Inl__iff1_0]) ).
cnf(cls_Sum__Type_OInl__not__Inr__iff1_0,axiom,
c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a),
input ).
fof(cls_Sum__Type_OInl__not__Inr__iff1_0_0,plain,
! [T_a,T_b,V_a,V_b] :
( c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Sum__Type_OInl__not__Inr__iff1_0]) ).
cnf(cls_Set_Onot__psubset__empty__iff1_0,axiom,
~ c_less(V_A,c_emptyset,tc_set(T_a)),
input ).
fof(cls_Set_Onot__psubset__empty__iff1_0_0,plain,
! [T_a,V_A] :
( ~ c_less(V_A,c_emptyset,tc_set(T_a))
| $false ),
inference(orientation,[status(thm)],[cls_Set_Onot__psubset__empty__iff1_0]) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(V_x,c_insert(V_x,V_B,T_a),T_a),
input ).
fof(cls_Set_OinsertCI_1_0,plain,
! [T_a,V_B,V_x] :
( c_in(V_x,c_insert(V_x,V_B,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Set_OinsertCI_1]) ).
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(V_a,c_emptyset,T_a),
input ).
fof(cls_Set_OemptyE_0_0,plain,
! [T_a,V_a] :
( ~ c_in(V_a,c_emptyset,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Set_OemptyE_0]) ).
cnf(cls_Set_OUn__empty__iff2_0,axiom,
c_union(c_emptyset,c_emptyset,T_a) = c_emptyset,
input ).
fof(cls_Set_OUn__empty__iff2_0_0,plain,
! [T_a] :
( c_union(c_emptyset,c_emptyset,T_a) = c_emptyset
| $false ),
inference(orientation,[status(thm)],[cls_Set_OUn__empty__iff2_0]) ).
cnf(cls_Set_OUNIV__not__empty__iff1_0,axiom,
c_UNIV != c_emptyset,
input ).
fof(cls_Set_OUNIV__not__empty__iff1_0_0,plain,
( c_UNIV != c_emptyset
| $false ),
inference(orientation,[status(thm)],[cls_Set_OUNIV__not__empty__iff1_0]) ).
cnf(cls_Relation_OIdI_0,axiom,
c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a)),
input ).
fof(cls_Relation_OIdI_0_0,plain,
! [T_a,V_a] :
( c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a))
| $false ),
inference(orientation,[status(thm)],[cls_Relation_OIdI_0]) ).
cnf(cls_Numeral_Obit_Odistinct__2__iff1_0,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
input ).
fof(cls_Numeral_Obit_Odistinct__2__iff1_0_0,plain,
( c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0
| $false ),
inference(orientation,[status(thm)],[cls_Numeral_Obit_Odistinct__2__iff1_0]) ).
cnf(cls_Numeral_Obit_Odistinct__1__iff1_0,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
input ).
fof(cls_Numeral_Obit_Odistinct__1__iff1_0_0,plain,
( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1
| $false ),
inference(orientation,[status(thm)],[cls_Numeral_Obit_Odistinct__1__iff1_0]) ).
cnf(cls_Nat_Onot__less0__iff1_0,axiom,
~ c_less(V_n,c_0,tc_nat),
input ).
fof(cls_Nat_Onot__less0__iff1_0_0,plain,
! [V_n] :
( ~ c_less(V_n,c_0,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Onot__less0__iff1_0]) ).
cnf(cls_Nat_Onot__add__less2__iff1_0,axiom,
~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat),
input ).
fof(cls_Nat_Onot__add__less2__iff1_0_0,plain,
! [V_i,V_j] :
( ~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Onot__add__less2__iff1_0]) ).
cnf(cls_Nat_Onot__add__less1__iff1_0,axiom,
~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat),
input ).
fof(cls_Nat_Onot__add__less1__iff1_0_0,plain,
! [V_i,V_j] :
( ~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Onot__add__less1__iff1_0]) ).
cnf(cls_Nat_Oneq0__conv__iff2_0,axiom,
~ c_less(c_0,c_0,tc_nat),
input ).
fof(cls_Nat_Oneq0__conv__iff2_0_0,plain,
( ~ c_less(c_0,c_0,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Oneq0__conv__iff2_0]) ).
cnf(cls_Nat_Oless__one__iff2_0,axiom,
c_less(c_0,c_1,tc_nat),
input ).
fof(cls_Nat_Oless__one__iff2_0_0,plain,
( c_less(c_0,c_1,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Oless__one__iff2_0]) ).
cnf(cls_Nat_Oless__Suc0__iff2_0,axiom,
c_less(c_0,c_Suc(c_0),tc_nat),
input ).
fof(cls_Nat_Oless__Suc0__iff2_0_0,plain,
( c_less(c_0,c_Suc(c_0),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Oless__Suc0__iff2_0]) ).
cnf(cls_Nat_Ole__0__eq__iff2_0,axiom,
c_lessequals(c_0,c_0,tc_nat),
input ).
fof(cls_Nat_Ole__0__eq__iff2_0_0,plain,
( c_lessequals(c_0,c_0,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Ole__0__eq__iff2_0]) ).
cnf(cls_Nat_Oadd__is__0__iff2_0,axiom,
c_plus(c_0,c_0,tc_nat) = c_0,
input ).
fof(cls_Nat_Oadd__is__0__iff2_0_0,plain,
( c_plus(c_0,c_0,tc_nat) = c_0
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Oadd__is__0__iff2_0]) ).
cnf(cls_Nat_OZero__not__Suc__iff1_0,axiom,
c_0 != c_Suc(V_m),
input ).
fof(cls_Nat_OZero__not__Suc__iff1_0_0,plain,
! [V_m] :
( c_0 != c_Suc(V_m)
| $false ),
inference(orientation,[status(thm)],[cls_Nat_OZero__not__Suc__iff1_0]) ).
cnf(cls_Nat_OSuc__not__Zero__iff1_0,axiom,
c_Suc(V_m) != c_0,
input ).
fof(cls_Nat_OSuc__not__Zero__iff1_0_0,plain,
! [V_m] :
( c_Suc(V_m) != c_0
| $false ),
inference(orientation,[status(thm)],[cls_Nat_OSuc__not__Zero__iff1_0]) ).
cnf(cls_List_Oset__empty__iff2_0,axiom,
c_List_Oset(c_List_Olist_ONil,T_a) = c_emptyset,
input ).
fof(cls_List_Oset__empty__iff2_0_0,plain,
! [T_a] :
( c_List_Oset(c_List_Olist_ONil,T_a) = c_emptyset
| $false ),
inference(orientation,[status(thm)],[cls_List_Oset__empty__iff2_0]) ).
cnf(cls_List_Oset__empty2__iff2_0,axiom,
c_emptyset = c_List_Oset(c_List_Olist_ONil,T_a),
input ).
fof(cls_List_Oset__empty2__iff2_0_0,plain,
! [T_a] :
( c_List_Oset(c_List_Olist_ONil,T_a) = c_emptyset
| $false ),
inference(orientation,[status(thm)],[cls_List_Oset__empty2__iff2_0]) ).
cnf(cls_List_Oself__append__conv__iff2_0,axiom,
V_xs = c_append(V_xs,c_List_Olist_ONil,T_a),
input ).
fof(cls_List_Oself__append__conv__iff2_0_0,plain,
! [T_a,V_xs] :
( c_append(V_xs,c_List_Olist_ONil,T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_List_Oself__append__conv__iff2_0]) ).
cnf(cls_List_Oself__append__conv2__iff2_0,axiom,
V_ys = c_append(c_List_Olist_ONil,V_ys,T_a),
input ).
fof(cls_List_Oself__append__conv2__iff2_0_0,plain,
! [T_a,V_ys] :
( c_append(c_List_Olist_ONil,V_ys,T_a) = V_ys
| $false ),
inference(orientation,[status(thm)],[cls_List_Oself__append__conv2__iff2_0]) ).
cnf(cls_List_Orev__is__Nil__conv__iff2_0,axiom,
c_List_Orev(c_List_Olist_ONil,T_a) = c_List_Olist_ONil,
input ).
fof(cls_List_Orev__is__Nil__conv__iff2_0_0,plain,
! [T_a] :
( c_List_Orev(c_List_Olist_ONil,T_a) = c_List_Olist_ONil
| $false ),
inference(orientation,[status(thm)],[cls_List_Orev__is__Nil__conv__iff2_0]) ).
cnf(cls_List_Orev__eq__Cons__iff__iff2_0,axiom,
c_List_Orev(c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a),
input ).
fof(cls_List_Orev__eq__Cons__iff__iff2_0_0,plain,
! [T_a,V_y,V_ys] :
( c_List_Orev(c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_List_Orev__eq__Cons__iff__iff2_0]) ).
cnf(cls_List_Olist_Odistinct__2__iff1_0,axiom,
c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil,
input ).
fof(cls_List_Olist_Odistinct__2__iff1_0_0,plain,
! [T_a,V_a_H,V_list_H] :
( c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil
| $false ),
inference(orientation,[status(thm)],[cls_List_Olist_Odistinct__2__iff1_0]) ).
cnf(cls_List_Olist_Odistinct__1__iff1_0,axiom,
c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
input ).
fof(cls_List_Olist_Odistinct__1__iff1_0_0,plain,
! [T_a,V_a_H,V_list_H] :
( c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_List_Olist_Odistinct__1__iff1_0]) ).
cnf(cls_List_Olength__greater__0__conv__iff1_0,axiom,
~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat),
input ).
fof(cls_List_Olength__greater__0__conv__iff1_0_0,plain,
! [T_a] :
( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_List_Olength__greater__0__conv__iff1_0]) ).
cnf(cls_List_Olength__0__conv__iff2_0,axiom,
c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)) = c_0,
input ).
fof(cls_List_Olength__0__conv__iff2_0_0,plain,
! [T_a] :
( c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)) = c_0
| $false ),
inference(orientation,[status(thm)],[cls_List_Olength__0__conv__iff2_0]) ).
cnf(cls_List_Oappend__self__conv__iff2_0,axiom,
c_append(V_xs,c_List_Olist_ONil,T_a) = V_xs,
input ).
fof(cls_List_Oappend__self__conv__iff2_0_0,plain,
! [T_a,V_xs] :
( c_append(V_xs,c_List_Olist_ONil,T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_List_Oappend__self__conv__iff2_0]) ).
cnf(cls_List_Oappend__self__conv2__iff2_0,axiom,
c_append(c_List_Olist_ONil,V_ys,T_a) = V_ys,
input ).
fof(cls_List_Oappend__self__conv2__iff2_0_0,plain,
! [T_a,V_ys] :
( c_append(c_List_Olist_ONil,V_ys,T_a) = V_ys
| $false ),
inference(orientation,[status(thm)],[cls_List_Oappend__self__conv2__iff2_0]) ).
cnf(cls_List_Oappend__is__Nil__conv__iff2_0,axiom,
c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) = c_List_Olist_ONil,
input ).
fof(cls_List_Oappend__is__Nil__conv__iff2_0_0,plain,
! [T_a] :
( c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) = c_List_Olist_ONil
| $false ),
inference(orientation,[status(thm)],[cls_List_Oappend__is__Nil__conv__iff2_0]) ).
cnf(cls_List_ONil__notin__lex__iff1_0,axiom,
~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
input ).
fof(cls_List_ONil__notin__lex__iff1_0_0,plain,
! [T_a,V_r,V_ys] :
( ~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))
| $false ),
inference(orientation,[status(thm)],[cls_List_ONil__notin__lex__iff1_0]) ).
cnf(cls_List_ONil__is__rev__conv__iff2_0,axiom,
c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,T_a),
input ).
fof(cls_List_ONil__is__rev__conv__iff2_0_0,plain,
! [T_a] :
( c_List_Orev(c_List_Olist_ONil,T_a) = c_List_Olist_ONil
| $false ),
inference(orientation,[status(thm)],[cls_List_ONil__is__rev__conv__iff2_0]) ).
cnf(cls_List_ONil__is__append__conv__iff2_0,axiom,
c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a),
input ).
fof(cls_List_ONil__is__append__conv__iff2_0_0,plain,
! [T_a] :
( c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) = c_List_Olist_ONil
| $false ),
inference(orientation,[status(thm)],[cls_List_ONil__is__append__conv__iff2_0]) ).
cnf(cls_List_ONil2__notin__lex__iff1_0,axiom,
~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
input ).
fof(cls_List_ONil2__notin__lex__iff1_0_0,plain,
! [T_a,V_r,V_xs] :
( ~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))
| $false ),
inference(orientation,[status(thm)],[cls_List_ONil2__notin__lex__iff1_0]) ).
cnf(cls_IntDiv_Ozdvd__0__left__iff2_0,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
input ).
fof(cls_IntDiv_Ozdvd__0__left__iff2_0_0,plain,
( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint)
| $false ),
inference(orientation,[status(thm)],[cls_IntDiv_Ozdvd__0__left__iff2_0]) ).
cnf(cls_Infinite__Set_Onat__not__finite_0,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
input ).
fof(cls_Infinite__Set_Onat__not__finite_0_0,plain,
( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat))
| $false ),
inference(orientation,[status(thm)],[cls_Infinite__Set_Onat__not__finite_0]) ).
cnf(cls_Extraction_Osumbool_Odistinct__2__iff1_0,axiom,
c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
input ).
fof(cls_Extraction_Osumbool_Odistinct__2__iff1_0_0,plain,
( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft
| $false ),
inference(orientation,[status(thm)],[cls_Extraction_Osumbool_Odistinct__2__iff1_0]) ).
cnf(cls_Extraction_Osumbool_Odistinct__1__iff1_0,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
input ).
fof(cls_Extraction_Osumbool_Odistinct__1__iff1_0_0,plain,
( c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight
| $false ),
inference(orientation,[status(thm)],[cls_Extraction_Osumbool_Odistinct__1__iff1_0]) ).
cnf(cls_Equiv__Relations_Oquotient__is__empty__iff2_0,axiom,
c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) = c_emptyset,
input ).
fof(cls_Equiv__Relations_Oquotient__is__empty__iff2_0_0,plain,
! [T_a,V_r] :
( c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) = c_emptyset
| $false ),
inference(orientation,[status(thm)],[cls_Equiv__Relations_Oquotient__is__empty__iff2_0]) ).
cnf(cls_Equiv__Relations_Oquotient__is__empty2__iff2_0,axiom,
c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a),
input ).
fof(cls_Equiv__Relations_Oquotient__is__empty2__iff2_0_0,plain,
! [T_a,V_r] :
( c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) = c_emptyset
| $false ),
inference(orientation,[status(thm)],[cls_Equiv__Relations_Oquotient__is__empty2__iff2_0]) ).
cnf(cls_Divides_Odvd__0__left__iff__iff2_0,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_nat),
input ).
fof(cls_Divides_Odvd__0__left__iff__iff2_0_0,plain,
( c_Divides_Oop_Advd(c_0,c_0,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_Divides_Odvd__0__left__iff__iff2_0]) ).
cnf(cls_Datatype__Universe_OScons__not__Numb__iff1_0,axiom,
c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
input ).
fof(cls_Datatype__Universe_OScons__not__Numb__iff1_0_0,plain,
! [T_a,T_b,V_M,V_N,V_k] :
( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype__Universe_OScons__not__Numb__iff1_0]) ).
cnf(cls_Datatype__Universe_OScons__not__Leaf__iff1_0,axiom,
c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
input ).
fof(cls_Datatype__Universe_OScons__not__Leaf__iff1_0_0,plain,
! [T_a,T_b,V_M,V_N,V_a] :
( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype__Universe_OScons__not__Leaf__iff1_0]) ).
cnf(cls_Datatype__Universe_OScons__not__Atom__iff1_0,axiom,
c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b),
input ).
fof(cls_Datatype__Universe_OScons__not__Atom__iff1_0_0,plain,
! [T_a,T_b,V_M,V_N,V_a] :
( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype__Universe_OScons__not__Atom__iff1_0]) ).
cnf(cls_Datatype__Universe_ONumb__not__Scons__iff1_0,axiom,
c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
input ).
fof(cls_Datatype__Universe_ONumb__not__Scons__iff1_0_0,plain,
! [T_a,T_b,V_M,V_N,V_k] :
( c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype__Universe_ONumb__not__Scons__iff1_0]) ).
cnf(cls_Datatype__Universe_ONumb__not__Leaf__iff1_0,axiom,
c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
input ).
fof(cls_Datatype__Universe_ONumb__not__Leaf__iff1_0_0,plain,
! [T_a,T_b,V_a,V_k] :
( c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype__Universe_ONumb__not__Leaf__iff1_0]) ).
cnf(cls_Datatype__Universe_OLeaf__not__Scons__iff1_0,axiom,
c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
input ).
fof(cls_Datatype__Universe_OLeaf__not__Scons__iff1_0_0,plain,
! [T_a,T_b,V_M,V_N,V_a] :
( c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype__Universe_OLeaf__not__Scons__iff1_0]) ).
cnf(cls_Datatype__Universe_OLeaf__not__Numb__iff1_0,axiom,
c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
input ).
fof(cls_Datatype__Universe_OLeaf__not__Numb__iff1_0_0,plain,
! [T_a,T_b,V_a,V_k] :
( c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype__Universe_OLeaf__not__Numb__iff1_0]) ).
cnf(cls_Datatype__Universe_OIn1__not__In0__iff1_0,axiom,
c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b),
input ).
fof(cls_Datatype__Universe_OIn1__not__In0__iff1_0_0,plain,
! [T_a,T_b,V_M,V_N] :
( c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype__Universe_OIn1__not__In0__iff1_0]) ).
cnf(cls_Datatype__Universe_OIn0__not__In1__iff1_0,axiom,
c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b),
input ).
fof(cls_Datatype__Universe_OIn0__not__In1__iff1_0_0,plain,
! [T_a,T_b,V_M,V_N] :
( c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype__Universe_OIn0__not__In1__iff1_0]) ).
cnf(cls_Datatype__Universe_OAtom__not__Scons__iff1_0,axiom,
c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
input ).
fof(cls_Datatype__Universe_OAtom__not__Scons__iff1_0_0,plain,
! [T_a,T_b,V_M,V_N,V_a] :
( c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype__Universe_OAtom__not__Scons__iff1_0]) ).
cnf(cls_Datatype_Ooption_Odistinct__2__iff1_0,axiom,
c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone,
input ).
fof(cls_Datatype_Ooption_Odistinct__2__iff1_0_0,plain,
! [T_a,V_a_H] :
( c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone
| $false ),
inference(orientation,[status(thm)],[cls_Datatype_Ooption_Odistinct__2__iff1_0]) ).
cnf(cls_Datatype_Ooption_Odistinct__1__iff1_0,axiom,
c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a),
input ).
fof(cls_Datatype_Ooption_Odistinct__1__iff1_0_0,plain,
! [T_a,V_a_H] :
( c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype_Ooption_Odistinct__1__iff1_0]) ).
cnf(cls_Datatype_Oelem__o2s__iff2_0,axiom,
c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a),
input ).
fof(cls_Datatype_Oelem__o2s__iff2_0_0,plain,
! [T_a,V_x] :
( c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Datatype_Oelem__o2s__iff2_0]) ).
fof(def_lhs_atom1,axiom,
! [V_x,T_a] :
( lhs_atom1(V_x,T_a)
<=> c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [T_a,V_x] :
( lhs_atom1(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype_Oelem__o2s__iff2_0_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [V_a_H,T_a] :
( lhs_atom2(V_a_H,T_a)
<=> c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [T_a,V_a_H] :
( lhs_atom2(V_a_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype_Ooption_Odistinct__1__iff1_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [V_a_H,T_a] :
( lhs_atom3(V_a_H,T_a)
<=> c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [T_a,V_a_H] :
( lhs_atom3(V_a_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype_Ooption_Odistinct__2__iff1_0_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [V_a,V_N,V_M,T_b,T_a] :
( lhs_atom4(V_a,V_N,V_M,T_b,T_a)
<=> c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [T_a,T_b,V_M,V_N,V_a] :
( lhs_atom4(V_a,V_N,V_M,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OAtom__not__Scons__iff1_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [V_N,V_M,T_b,T_a] :
( lhs_atom5(V_N,V_M,T_b,T_a)
<=> c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [T_a,T_b,V_M,V_N] :
( lhs_atom5(V_N,V_M,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OIn0__not__In1__iff1_0_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [V_N,V_M,T_b,T_a] :
( lhs_atom6(V_N,V_M,T_b,T_a)
<=> c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [T_a,T_b,V_M,V_N] :
( lhs_atom6(V_N,V_M,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OIn1__not__In0__iff1_0_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [V_k,V_a,T_b,T_a] :
( lhs_atom7(V_k,V_a,T_b,T_a)
<=> c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [T_a,T_b,V_a,V_k] :
( lhs_atom7(V_k,V_a,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OLeaf__not__Numb__iff1_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [V_a,V_N,V_M,T_b,T_a] :
( lhs_atom8(V_a,V_N,V_M,T_b,T_a)
<=> c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [T_a,T_b,V_M,V_N,V_a] :
( lhs_atom8(V_a,V_N,V_M,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OLeaf__not__Scons__iff1_0_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [V_k,V_a,T_b,T_a] :
( lhs_atom9(V_k,V_a,T_b,T_a)
<=> c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [T_a,T_b,V_a,V_k] :
( lhs_atom9(V_k,V_a,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype__Universe_ONumb__not__Leaf__iff1_0_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [V_k,V_N,V_M,T_b,T_a] :
( lhs_atom10(V_k,V_N,V_M,T_b,T_a)
<=> c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [T_a,T_b,V_M,V_N,V_k] :
( lhs_atom10(V_k,V_N,V_M,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype__Universe_ONumb__not__Scons__iff1_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [V_a,V_N,V_M,T_b,T_a] :
( lhs_atom11(V_a,V_N,V_M,T_b,T_a)
<=> c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [T_a,T_b,V_M,V_N,V_a] :
( lhs_atom11(V_a,V_N,V_M,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OScons__not__Atom__iff1_0_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [V_a,V_N,V_M,T_b,T_a] :
( lhs_atom12(V_a,V_N,V_M,T_b,T_a)
<=> c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [T_a,T_b,V_M,V_N,V_a] :
( lhs_atom12(V_a,V_N,V_M,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OScons__not__Leaf__iff1_0_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [V_k,V_N,V_M,T_b,T_a] :
( lhs_atom13(V_k,V_N,V_M,T_b,T_a)
<=> c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [T_a,T_b,V_M,V_N,V_k] :
( lhs_atom13(V_k,V_N,V_M,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OScons__not__Numb__iff1_0_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
( lhs_atom14
<=> c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
( lhs_atom14
| $false ),
inference(fold_definition,[status(thm)],[cls_Divides_Odvd__0__left__iff__iff2_0_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [V_r,T_a] :
( lhs_atom15(V_r,T_a)
<=> c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) = c_emptyset ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [T_a,V_r] :
( lhs_atom15(V_r,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Equiv__Relations_Oquotient__is__empty2__iff2_0_0,def_lhs_atom15]) ).
fof(to_be_clausified_15,plain,
! [T_a,V_r] :
( lhs_atom15(V_r,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Equiv__Relations_Oquotient__is__empty__iff2_0_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
( lhs_atom16
<=> c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
( lhs_atom16
| $false ),
inference(fold_definition,[status(thm)],[cls_Extraction_Osumbool_Odistinct__1__iff1_0_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
( lhs_atom17
<=> c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
( lhs_atom17
| $false ),
inference(fold_definition,[status(thm)],[cls_Extraction_Osumbool_Odistinct__2__iff1_0_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
( lhs_atom18
<=> ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
( lhs_atom18
| $false ),
inference(fold_definition,[status(thm)],[cls_Infinite__Set_Onat__not__finite_0_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
( lhs_atom19
<=> c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
( lhs_atom19
| $false ),
inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdvd__0__left__iff2_0_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [V_xs,V_r,T_a] :
( lhs_atom20(V_xs,V_r,T_a)
<=> ~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [T_a,V_r,V_xs] :
( lhs_atom20(V_xs,V_r,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_ONil2__notin__lex__iff1_0_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [T_a] :
( lhs_atom21(T_a)
<=> c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) = c_List_Olist_ONil ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [T_a] :
( lhs_atom21(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_ONil__is__append__conv__iff2_0_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [T_a] :
( lhs_atom22(T_a)
<=> c_List_Orev(c_List_Olist_ONil,T_a) = c_List_Olist_ONil ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
! [T_a] :
( lhs_atom22(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_ONil__is__rev__conv__iff2_0_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [V_ys,V_r,T_a] :
( lhs_atom23(V_ys,V_r,T_a)
<=> ~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [T_a,V_r,V_ys] :
( lhs_atom23(V_ys,V_r,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_ONil__notin__lex__iff1_0_0,def_lhs_atom23]) ).
fof(to_be_clausified_24,plain,
! [T_a] :
( lhs_atom21(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Oappend__is__Nil__conv__iff2_0_0,def_lhs_atom21]) ).
fof(def_lhs_atom24,axiom,
! [V_ys,T_a] :
( lhs_atom24(V_ys,T_a)
<=> c_append(c_List_Olist_ONil,V_ys,T_a) = V_ys ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [T_a,V_ys] :
( lhs_atom24(V_ys,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Oappend__self__conv2__iff2_0_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [V_xs,T_a] :
( lhs_atom25(V_xs,T_a)
<=> c_append(V_xs,c_List_Olist_ONil,T_a) = V_xs ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [T_a,V_xs] :
( lhs_atom25(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Oappend__self__conv__iff2_0_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [T_a] :
( lhs_atom26(T_a)
<=> c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)) = c_0 ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [T_a] :
( lhs_atom26(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Olength__0__conv__iff2_0_0,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
! [T_a] :
( lhs_atom27(T_a)
<=> ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [T_a] :
( lhs_atom27(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Olength__greater__0__conv__iff1_0_0,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [V_list_H,V_a_H,T_a] :
( lhs_atom28(V_list_H,V_a_H,T_a)
<=> c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
! [T_a,V_a_H,V_list_H] :
( lhs_atom28(V_list_H,V_a_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Olist_Odistinct__1__iff1_0_0,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [V_list_H,V_a_H,T_a] :
( lhs_atom29(V_list_H,V_a_H,T_a)
<=> c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
! [T_a,V_a_H,V_list_H] :
( lhs_atom29(V_list_H,V_a_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Olist_Odistinct__2__iff1_0_0,def_lhs_atom29]) ).
fof(def_lhs_atom30,axiom,
! [V_ys,V_y,T_a] :
( lhs_atom30(V_ys,V_y,T_a)
<=> c_List_Orev(c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
! [T_a,V_y,V_ys] :
( lhs_atom30(V_ys,V_y,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Orev__eq__Cons__iff__iff2_0_0,def_lhs_atom30]) ).
fof(to_be_clausified_32,plain,
! [T_a] :
( lhs_atom22(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Orev__is__Nil__conv__iff2_0_0,def_lhs_atom22]) ).
fof(to_be_clausified_33,plain,
! [T_a,V_ys] :
( lhs_atom24(V_ys,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Oself__append__conv2__iff2_0_0,def_lhs_atom24]) ).
fof(to_be_clausified_34,plain,
! [T_a,V_xs] :
( lhs_atom25(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Oself__append__conv__iff2_0_0,def_lhs_atom25]) ).
fof(def_lhs_atom31,axiom,
! [T_a] :
( lhs_atom31(T_a)
<=> c_List_Oset(c_List_Olist_ONil,T_a) = c_emptyset ),
inference(definition,[],]) ).
fof(to_be_clausified_35,plain,
! [T_a] :
( lhs_atom31(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Oset__empty2__iff2_0_0,def_lhs_atom31]) ).
fof(to_be_clausified_36,plain,
! [T_a] :
( lhs_atom31(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Oset__empty__iff2_0_0,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
! [V_m] :
( lhs_atom32(V_m)
<=> c_Suc(V_m) != c_0 ),
inference(definition,[],]) ).
fof(to_be_clausified_37,plain,
! [V_m] :
( lhs_atom32(V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_OSuc__not__Zero__iff1_0_0,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
! [V_m] :
( lhs_atom33(V_m)
<=> c_0 != c_Suc(V_m) ),
inference(definition,[],]) ).
fof(to_be_clausified_38,plain,
! [V_m] :
( lhs_atom33(V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_OZero__not__Suc__iff1_0_0,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
( lhs_atom34
<=> c_plus(c_0,c_0,tc_nat) = c_0 ),
inference(definition,[],]) ).
fof(to_be_clausified_39,plain,
( lhs_atom34
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Oadd__is__0__iff2_0_0,def_lhs_atom34]) ).
fof(def_lhs_atom35,axiom,
( lhs_atom35
<=> c_lessequals(c_0,c_0,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_40,plain,
( lhs_atom35
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Ole__0__eq__iff2_0_0,def_lhs_atom35]) ).
fof(def_lhs_atom36,axiom,
( lhs_atom36
<=> c_less(c_0,c_Suc(c_0),tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_41,plain,
( lhs_atom36
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Oless__Suc0__iff2_0_0,def_lhs_atom36]) ).
fof(def_lhs_atom37,axiom,
( lhs_atom37
<=> c_less(c_0,c_1,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_42,plain,
( lhs_atom37
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Oless__one__iff2_0_0,def_lhs_atom37]) ).
fof(def_lhs_atom38,axiom,
( lhs_atom38
<=> ~ c_less(c_0,c_0,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_43,plain,
( lhs_atom38
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Oneq0__conv__iff2_0_0,def_lhs_atom38]) ).
fof(def_lhs_atom39,axiom,
! [V_j,V_i] :
( lhs_atom39(V_j,V_i)
<=> ~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_44,plain,
! [V_i,V_j] :
( lhs_atom39(V_j,V_i)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Onot__add__less1__iff1_0_0,def_lhs_atom39]) ).
fof(def_lhs_atom40,axiom,
! [V_j,V_i] :
( lhs_atom40(V_j,V_i)
<=> ~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_45,plain,
! [V_i,V_j] :
( lhs_atom40(V_j,V_i)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Onot__add__less2__iff1_0_0,def_lhs_atom40]) ).
fof(def_lhs_atom41,axiom,
! [V_n] :
( lhs_atom41(V_n)
<=> ~ c_less(V_n,c_0,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_46,plain,
! [V_n] :
( lhs_atom41(V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Onot__less0__iff1_0_0,def_lhs_atom41]) ).
fof(def_lhs_atom42,axiom,
( lhs_atom42
<=> c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
inference(definition,[],]) ).
fof(to_be_clausified_47,plain,
( lhs_atom42
| $false ),
inference(fold_definition,[status(thm)],[cls_Numeral_Obit_Odistinct__1__iff1_0_0,def_lhs_atom42]) ).
fof(def_lhs_atom43,axiom,
( lhs_atom43
<=> c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0 ),
inference(definition,[],]) ).
fof(to_be_clausified_48,plain,
( lhs_atom43
| $false ),
inference(fold_definition,[status(thm)],[cls_Numeral_Obit_Odistinct__2__iff1_0_0,def_lhs_atom43]) ).
fof(def_lhs_atom44,axiom,
! [V_a,T_a] :
( lhs_atom44(V_a,T_a)
<=> c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a)) ),
inference(definition,[],]) ).
fof(to_be_clausified_49,plain,
! [T_a,V_a] :
( lhs_atom44(V_a,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Relation_OIdI_0_0,def_lhs_atom44]) ).
fof(def_lhs_atom45,axiom,
( lhs_atom45
<=> c_UNIV != c_emptyset ),
inference(definition,[],]) ).
fof(to_be_clausified_50,plain,
( lhs_atom45
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_OUNIV__not__empty__iff1_0_0,def_lhs_atom45]) ).
fof(def_lhs_atom46,axiom,
! [T_a] :
( lhs_atom46(T_a)
<=> c_union(c_emptyset,c_emptyset,T_a) = c_emptyset ),
inference(definition,[],]) ).
fof(to_be_clausified_51,plain,
! [T_a] :
( lhs_atom46(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_OUn__empty__iff2_0_0,def_lhs_atom46]) ).
fof(def_lhs_atom47,axiom,
! [V_a,T_a] :
( lhs_atom47(V_a,T_a)
<=> ~ c_in(V_a,c_emptyset,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_52,plain,
! [T_a,V_a] :
( lhs_atom47(V_a,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_OemptyE_0_0,def_lhs_atom47]) ).
fof(def_lhs_atom48,axiom,
! [V_x,V_B,T_a] :
( lhs_atom48(V_x,V_B,T_a)
<=> c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_53,plain,
! [T_a,V_B,V_x] :
( lhs_atom48(V_x,V_B,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_OinsertCI_1_0,def_lhs_atom48]) ).
fof(def_lhs_atom49,axiom,
! [V_A,T_a] :
( lhs_atom49(V_A,T_a)
<=> ~ c_less(V_A,c_emptyset,tc_set(T_a)) ),
inference(definition,[],]) ).
fof(to_be_clausified_54,plain,
! [T_a,V_A] :
( lhs_atom49(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_Onot__psubset__empty__iff1_0_0,def_lhs_atom49]) ).
fof(def_lhs_atom50,axiom,
! [V_b,V_a,T_b,T_a] :
( lhs_atom50(V_b,V_a,T_b,T_a)
<=> c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_55,plain,
! [T_a,T_b,V_a,V_b] :
( lhs_atom50(V_b,V_a,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Sum__Type_OInl__not__Inr__iff1_0_0,def_lhs_atom50]) ).
fof(def_lhs_atom51,axiom,
! [V_b,V_a,T_b,T_a] :
( lhs_atom51(V_b,V_a,T_b,T_a)
<=> c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_56,plain,
! [T_a,T_b,V_a,V_b] :
( lhs_atom51(V_b,V_a,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Sum__Type_OInr__not__Inl__iff1_0_0,def_lhs_atom51]) ).
fof(def_lhs_atom52,axiom,
! [V_m] :
( lhs_atom52(V_m)
<=> c_Divides_Oop_Advd(V_m,c_0,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_57,plain,
! [V_m] :
( lhs_atom52(V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_Divides_Odvd__0__right_0_0,def_lhs_atom52]) ).
fof(def_lhs_atom53,axiom,
! [V_k] :
( lhs_atom53(V_k)
<=> c_Divides_Oop_Advd(c_Suc(c_0),V_k,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_58,plain,
! [V_k] :
( lhs_atom53(V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_Divides_Odvd__1__left_0_0,def_lhs_atom53]) ).
fof(def_lhs_atom54,axiom,
! [V_m,V_k] :
( lhs_atom54(V_m,V_k)
<=> c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_nat),tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_59,plain,
! [V_k,V_m] :
( lhs_atom54(V_m,V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_Divides_Odvd__triv__left_0_0,def_lhs_atom54]) ).
fof(def_lhs_atom55,axiom,
! [V_m,V_k] :
( lhs_atom55(V_m,V_k)
<=> c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_nat),tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_60,plain,
! [V_k,V_m] :
( lhs_atom55(V_m,V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_Divides_Odvd__triv__right_0_0,def_lhs_atom55]) ).
fof(def_lhs_atom56,axiom,
! [T_a] :
( lhs_atom56(T_a)
<=> c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(T_a)) ),
inference(definition,[],]) ).
fof(to_be_clausified_61,plain,
! [T_a] :
( lhs_atom56(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Finite__Set_OFinites_OemptyI_0_0,def_lhs_atom56]) ).
fof(def_lhs_atom57,axiom,
! [V_n,V_m] :
( lhs_atom57(V_n,V_m)
<=> c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_m,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_62,plain,
! [V_m,V_n] :
( lhs_atom57(V_n,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__dvd1_0_0,def_lhs_atom57]) ).
fof(def_lhs_atom58,axiom,
! [V_n,V_m] :
( lhs_atom58(V_n,V_m)
<=> c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_n,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_63,plain,
! [V_m,V_n] :
( lhs_atom58(V_n,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__dvd2_0_0,def_lhs_atom58]) ).
fof(def_lhs_atom59,axiom,
! [V_n,V_m] :
( lhs_atom59(V_n,V_m)
<=> c_lessequals(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_64,plain,
! [V_m,V_n] :
( lhs_atom59(V_n,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_IntDef_Onegative__zle_0_0,def_lhs_atom59]) ).
fof(def_lhs_atom60,axiom,
! [V_n,V_m] :
( lhs_atom60(V_n,V_m)
<=> c_less(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_65,plain,
! [V_m,V_n] :
( lhs_atom60(V_n,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_IntDef_Onegative__zless_0_0,def_lhs_atom60]) ).
fof(def_lhs_atom61,axiom,
! [V_m] :
( lhs_atom61(V_m)
<=> c_Divides_Oop_Advd(V_m,c_0,tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_66,plain,
! [V_m] :
( lhs_atom61(V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdvd__0__right_0_0,def_lhs_atom61]) ).
fof(def_lhs_atom62,axiom,
! [V_m] :
( lhs_atom62(V_m)
<=> c_Divides_Oop_Advd(c_1,V_m,tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_67,plain,
! [V_m] :
( lhs_atom62(V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdvd__1__left_0_0,def_lhs_atom62]) ).
fof(def_lhs_atom63,axiom,
! [V_m,V_k] :
( lhs_atom63(V_m,V_k)
<=> c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_68,plain,
! [V_k,V_m] :
( lhs_atom63(V_m,V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdvd__triv__left_0_0,def_lhs_atom63]) ).
fof(def_lhs_atom64,axiom,
! [V_m,V_k] :
( lhs_atom64(V_m,V_k)
<=> c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_69,plain,
! [V_k,V_m] :
( lhs_atom64(V_m,V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdvd__triv__right_0_0,def_lhs_atom64]) ).
fof(def_lhs_atom65,axiom,
! [V_xs,T_a] :
( lhs_atom65(V_xs,T_a)
<=> c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_70,plain,
! [T_a,V_xs] :
( lhs_atom65(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Odistinct__remdups_0_0,def_lhs_atom65]) ).
fof(def_lhs_atom66,axiom,
! [V_xs,T_a] :
( lhs_atom66(V_xs,T_a)
<=> c_in(c_List_Oset(V_xs,T_a),c_Finite__Set_OFinites,tc_set(T_a)) ),
inference(definition,[],]) ).
fof(to_be_clausified_71,plain,
! [T_a,V_xs] :
( lhs_atom66(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Ofinite__set_0_0,def_lhs_atom66]) ).
fof(def_lhs_atom67,axiom,
! [V_xs,T_a] :
( lhs_atom67(V_xs,T_a)
<=> c_lessequals(c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_72,plain,
! [T_a,V_xs] :
( lhs_atom67(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Olength__remdups__leq_0_0,def_lhs_atom67]) ).
fof(def_lhs_atom68,axiom,
! [V_A,T_a] :
( lhs_atom68(V_A,T_a)
<=> c_in(c_List_Olist_ONil,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ),
inference(definition,[],]) ).
fof(to_be_clausified_73,plain,
! [T_a,V_A] :
( lhs_atom68(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_List_Olists_ONil_0_0,def_lhs_atom68]) ).
fof(def_lhs_atom69,axiom,
! [V_n] :
( lhs_atom69(V_n)
<=> c_lessequals(c_0,V_n,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_74,plain,
! [V_n] :
( lhs_atom69(V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Ole0_0_0,def_lhs_atom69]) ).
fof(def_lhs_atom70,axiom,
! [V_n] :
( lhs_atom70(V_n)
<=> c_less(V_n,c_Suc(V_n),tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_75,plain,
! [V_n] :
( lhs_atom70(V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_OlessI_0_0,def_lhs_atom70]) ).
fof(def_lhs_atom71,axiom,
! [V_n] :
( lhs_atom71(V_n)
<=> ~ c_less(V_n,V_n,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_76,plain,
! [V_n] :
( lhs_atom71(V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Oless__irrefl_0_0,def_lhs_atom71]) ).
fof(def_lhs_atom72,axiom,
! [V_n] :
( lhs_atom72(V_n)
<=> c_less(c_0,c_Suc(V_n),tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_77,plain,
! [V_n] :
( lhs_atom72(V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Ozero__less__Suc_0_0,def_lhs_atom72]) ).
fof(def_lhs_atom73,axiom,
! [V_u,V_l] :
( lhs_atom73(V_u,V_l)
<=> c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
inference(definition,[],]) ).
fof(to_be_clausified_78,plain,
! [V_l,V_u] :
( lhs_atom73(V_u,V_l)
| $false ),
inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__atLeastAtMost_0_0,def_lhs_atom73]) ).
fof(def_lhs_atom74,axiom,
! [V_u,V_l] :
( lhs_atom74(V_u,V_l)
<=> c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
inference(definition,[],]) ).
fof(to_be_clausified_79,plain,
! [V_l,V_u] :
( lhs_atom74(V_u,V_l)
| $false ),
inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__atLeastAtMost__int_0_0,def_lhs_atom74]) ).
fof(def_lhs_atom75,axiom,
! [V_u,V_l] :
( lhs_atom75(V_u,V_l)
<=> c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
inference(definition,[],]) ).
fof(to_be_clausified_80,plain,
! [V_l,V_u] :
( lhs_atom75(V_u,V_l)
| $false ),
inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__atLeastLessThan_0_0,def_lhs_atom75]) ).
fof(def_lhs_atom76,axiom,
! [V_u,V_l] :
( lhs_atom76(V_u,V_l)
<=> c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
inference(definition,[],]) ).
fof(to_be_clausified_81,plain,
! [V_l,V_u] :
( lhs_atom76(V_u,V_l)
| $false ),
inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__atLeastLessThan__int_0_0,def_lhs_atom76]) ).
fof(def_lhs_atom77,axiom,
! [V_k] :
( lhs_atom77(V_k)
<=> c_in(c_SetInterval_OatMost(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
inference(definition,[],]) ).
fof(to_be_clausified_82,plain,
! [V_k] :
( lhs_atom77(V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__atMost_0_0,def_lhs_atom77]) ).
fof(def_lhs_atom78,axiom,
! [V_u,V_l] :
( lhs_atom78(V_u,V_l)
<=> c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
inference(definition,[],]) ).
fof(to_be_clausified_83,plain,
! [V_l,V_u] :
( lhs_atom78(V_u,V_l)
| $false ),
inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__greaterThanAtMost_0_0,def_lhs_atom78]) ).
fof(def_lhs_atom79,axiom,
! [V_u,V_l] :
( lhs_atom79(V_u,V_l)
<=> c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
inference(definition,[],]) ).
fof(to_be_clausified_84,plain,
! [V_l,V_u] :
( lhs_atom79(V_u,V_l)
| $false ),
inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__greaterThanAtMost__int_0_0,def_lhs_atom79]) ).
fof(def_lhs_atom80,axiom,
! [V_u,V_l] :
( lhs_atom80(V_u,V_l)
<=> c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
inference(definition,[],]) ).
fof(to_be_clausified_85,plain,
! [V_l,V_u] :
( lhs_atom80(V_u,V_l)
| $false ),
inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__greaterThanLessThan_0_0,def_lhs_atom80]) ).
fof(def_lhs_atom81,axiom,
! [V_u,V_l] :
( lhs_atom81(V_u,V_l)
<=> c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
inference(definition,[],]) ).
fof(to_be_clausified_86,plain,
! [V_l,V_u] :
( lhs_atom81(V_u,V_l)
| $false ),
inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__greaterThanLessThan__int_0_0,def_lhs_atom81]) ).
fof(def_lhs_atom82,axiom,
! [V_k] :
( lhs_atom82(V_k)
<=> c_in(c_SetInterval_OlessThan(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
inference(definition,[],]) ).
fof(to_be_clausified_87,plain,
! [V_k] :
( lhs_atom82(V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__lessThan_0_0,def_lhs_atom82]) ).
fof(def_lhs_atom83,axiom,
! [V_x,T_a] :
( lhs_atom83(V_x,T_a)
<=> c_in(V_x,c_UNIV,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_88,plain,
! [T_a,V_x] :
( lhs_atom83(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_OUNIV__I_0_0,def_lhs_atom83]) ).
fof(def_lhs_atom84,axiom,
! [V_A,T_a] :
( lhs_atom84(V_A,T_a)
<=> c_lessequals(c_emptyset,V_A,tc_set(T_a)) ),
inference(definition,[],]) ).
fof(to_be_clausified_89,plain,
! [T_a,V_A] :
( lhs_atom84(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_Oempty__subsetI_0_0,def_lhs_atom84]) ).
fof(def_lhs_atom85,axiom,
! [V_a,T_a] :
( lhs_atom85(V_a,T_a)
<=> c_in(V_a,c_insert(V_a,c_emptyset,T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_90,plain,
! [T_a,V_a] :
( lhs_atom85(V_a,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_OsingletonI_0_0,def_lhs_atom85]) ).
fof(def_lhs_atom86,axiom,
! [V_A,T_a] :
( lhs_atom86(V_A,T_a)
<=> c_lessequals(V_A,V_A,tc_set(T_a)) ),
inference(definition,[],]) ).
fof(to_be_clausified_91,plain,
! [T_a,V_A] :
( lhs_atom86(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_Osubset__refl_0_0,def_lhs_atom86]) ).
fof(def_lhs_atom87,axiom,
! [V_r,V_a,T_a] :
( lhs_atom87(V_r,V_a,T_a)
<=> c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ),
inference(definition,[],]) ).
fof(to_be_clausified_92,plain,
! [T_a,V_a,V_r] :
( lhs_atom87(V_r,V_a,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0_0,def_lhs_atom87]) ).
fof(def_lhs_atom88,axiom,
! [T_a] :
( lhs_atom88(T_a)
<=> c_Wellfounded__Recursion_Owf(c_emptyset,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_93,plain,
! [T_a] :
( lhs_atom88(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Wellfounded__Recursion_Owf__empty_0_0,def_lhs_atom88]) ).
fof(def_lhs_atom89,axiom,
( lhs_atom89
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_94,plain,
( lhs_atom89
| $false ),
inference(fold_definition,[status(thm)],[cls_Wellfounded__Relations_Otrans__less__than_0_0,def_lhs_atom89]) ).
fof(def_lhs_atom90,axiom,
( lhs_atom90
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_95,plain,
( lhs_atom90
| $false ),
inference(fold_definition,[status(thm)],[cls_Wellfounded__Relations_Owf__less__than_0_0,def_lhs_atom90]) ).
fof(def_lhs_atom91,axiom,
( lhs_atom91
<=> class_HOL_Ominus(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_96,plain,
( lhs_atom91
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_0_0,def_lhs_atom91]) ).
fof(def_lhs_atom92,axiom,
( lhs_atom92
<=> class_HOL_Oone(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_97,plain,
( lhs_atom92
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_1_0,def_lhs_atom92]) ).
fof(def_lhs_atom93,axiom,
( lhs_atom93
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_98,plain,
( lhs_atom93
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_10_0,def_lhs_atom93]) ).
fof(def_lhs_atom94,axiom,
( lhs_atom94
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_99,plain,
( lhs_atom94
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_11_0,def_lhs_atom94]) ).
fof(def_lhs_atom95,axiom,
( lhs_atom95
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_100,plain,
( lhs_atom95
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_12_0,def_lhs_atom95]) ).
fof(def_lhs_atom96,axiom,
( lhs_atom96
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_101,plain,
( lhs_atom96
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_13_0,def_lhs_atom96]) ).
fof(def_lhs_atom97,axiom,
( lhs_atom97
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_102,plain,
( lhs_atom97
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_14_0,def_lhs_atom97]) ).
fof(def_lhs_atom98,axiom,
( lhs_atom98
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_103,plain,
( lhs_atom98
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_15_0,def_lhs_atom98]) ).
fof(def_lhs_atom99,axiom,
( lhs_atom99
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_104,plain,
( lhs_atom99
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_16_0,def_lhs_atom99]) ).
fof(def_lhs_atom100,axiom,
( lhs_atom100
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_105,plain,
( lhs_atom100
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_17_0,def_lhs_atom100]) ).
fof(def_lhs_atom101,axiom,
( lhs_atom101
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_106,plain,
( lhs_atom101
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_18_0,def_lhs_atom101]) ).
fof(def_lhs_atom102,axiom,
( lhs_atom102
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_107,plain,
( lhs_atom102
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_19_0,def_lhs_atom102]) ).
fof(def_lhs_atom103,axiom,
( lhs_atom103
<=> class_HOL_Oplus(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_108,plain,
( lhs_atom103
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_2_0,def_lhs_atom103]) ).
fof(def_lhs_atom104,axiom,
( lhs_atom104
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_109,plain,
( lhs_atom104
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_20_0,def_lhs_atom104]) ).
fof(def_lhs_atom105,axiom,
( lhs_atom105
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_110,plain,
( lhs_atom105
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_21_0,def_lhs_atom105]) ).
fof(def_lhs_atom106,axiom,
( lhs_atom106
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_111,plain,
( lhs_atom106
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_22_0,def_lhs_atom106]) ).
fof(def_lhs_atom107,axiom,
( lhs_atom107
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_112,plain,
( lhs_atom107
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_23_0,def_lhs_atom107]) ).
fof(def_lhs_atom108,axiom,
( lhs_atom108
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_113,plain,
( lhs_atom108
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_24_0,def_lhs_atom108]) ).
fof(def_lhs_atom109,axiom,
( lhs_atom109
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_114,plain,
( lhs_atom109
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_25_0,def_lhs_atom109]) ).
fof(def_lhs_atom110,axiom,
( lhs_atom110
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_115,plain,
( lhs_atom110
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_26_0,def_lhs_atom110]) ).
fof(def_lhs_atom111,axiom,
( lhs_atom111
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_116,plain,
( lhs_atom111
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_27_0,def_lhs_atom111]) ).
fof(def_lhs_atom112,axiom,
( lhs_atom112
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_117,plain,
( lhs_atom112
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_28_0,def_lhs_atom112]) ).
fof(def_lhs_atom113,axiom,
( lhs_atom113
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_118,plain,
( lhs_atom113
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_29_0,def_lhs_atom113]) ).
fof(def_lhs_atom114,axiom,
( lhs_atom114
<=> class_HOL_Otimes(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_119,plain,
( lhs_atom114
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_3_0,def_lhs_atom114]) ).
fof(def_lhs_atom115,axiom,
( lhs_atom115
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_120,plain,
( lhs_atom115
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_30_0,def_lhs_atom115]) ).
fof(def_lhs_atom116,axiom,
( lhs_atom116
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_121,plain,
( lhs_atom116
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_31_0,def_lhs_atom116]) ).
fof(def_lhs_atom117,axiom,
( lhs_atom117
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_122,plain,
( lhs_atom117
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_32_0,def_lhs_atom117]) ).
fof(def_lhs_atom118,axiom,
( lhs_atom118
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_123,plain,
( lhs_atom118
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_33_0,def_lhs_atom118]) ).
fof(def_lhs_atom119,axiom,
( lhs_atom119
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_124,plain,
( lhs_atom119
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_34_0,def_lhs_atom119]) ).
fof(def_lhs_atom120,axiom,
( lhs_atom120
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_125,plain,
( lhs_atom120
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_35_0,def_lhs_atom120]) ).
fof(def_lhs_atom121,axiom,
( lhs_atom121
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_126,plain,
( lhs_atom121
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_36_0,def_lhs_atom121]) ).
fof(def_lhs_atom122,axiom,
( lhs_atom122
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_127,plain,
( lhs_atom122
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_37_0,def_lhs_atom122]) ).
fof(def_lhs_atom123,axiom,
( lhs_atom123
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_128,plain,
( lhs_atom123
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_38_0,def_lhs_atom123]) ).
fof(def_lhs_atom124,axiom,
( lhs_atom124
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_129,plain,
( lhs_atom124
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_39_0,def_lhs_atom124]) ).
fof(def_lhs_atom125,axiom,
( lhs_atom125
<=> class_HOL_Ozero(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_130,plain,
( lhs_atom125
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_4_0,def_lhs_atom125]) ).
fof(def_lhs_atom126,axiom,
( lhs_atom126
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_131,plain,
( lhs_atom126
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_40_0,def_lhs_atom126]) ).
fof(def_lhs_atom127,axiom,
( lhs_atom127
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_132,plain,
( lhs_atom127
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_41_0,def_lhs_atom127]) ).
fof(def_lhs_atom128,axiom,
( lhs_atom128
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_133,plain,
( lhs_atom128
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_42_0,def_lhs_atom128]) ).
fof(def_lhs_atom129,axiom,
( lhs_atom129
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_134,plain,
( lhs_atom129
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_43_0,def_lhs_atom129]) ).
fof(def_lhs_atom130,axiom,
( lhs_atom130
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_135,plain,
( lhs_atom130
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_44_0,def_lhs_atom130]) ).
fof(def_lhs_atom131,axiom,
( lhs_atom131
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_136,plain,
( lhs_atom131
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_45_0,def_lhs_atom131]) ).
fof(def_lhs_atom132,axiom,
( lhs_atom132
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_137,plain,
( lhs_atom132
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_46_0,def_lhs_atom132]) ).
fof(def_lhs_atom133,axiom,
( lhs_atom133
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_138,plain,
( lhs_atom133
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_47_0,def_lhs_atom133]) ).
fof(def_lhs_atom134,axiom,
( lhs_atom134
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_139,plain,
( lhs_atom134
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_48_0,def_lhs_atom134]) ).
fof(def_lhs_atom135,axiom,
( lhs_atom135
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_140,plain,
( lhs_atom135
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_49_0,def_lhs_atom135]) ).
fof(def_lhs_atom136,axiom,
( lhs_atom136
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_141,plain,
( lhs_atom136
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_5_0,def_lhs_atom136]) ).
fof(def_lhs_atom137,axiom,
( lhs_atom137
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_142,plain,
( lhs_atom137
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_50_0,def_lhs_atom137]) ).
fof(def_lhs_atom138,axiom,
( lhs_atom138
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_143,plain,
( lhs_atom138
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_51_0,def_lhs_atom138]) ).
fof(def_lhs_atom139,axiom,
( lhs_atom139
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_144,plain,
( lhs_atom139
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_52_0,def_lhs_atom139]) ).
fof(def_lhs_atom140,axiom,
( lhs_atom140
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_145,plain,
( lhs_atom140
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_53_0,def_lhs_atom140]) ).
fof(def_lhs_atom141,axiom,
( lhs_atom141
<=> class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_146,plain,
( lhs_atom141
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_54_0,def_lhs_atom141]) ).
fof(def_lhs_atom142,axiom,
( lhs_atom142
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_147,plain,
( lhs_atom142
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_55_0,def_lhs_atom142]) ).
fof(def_lhs_atom143,axiom,
( lhs_atom143
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_148,plain,
( lhs_atom143
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_56_0,def_lhs_atom143]) ).
fof(def_lhs_atom144,axiom,
( lhs_atom144
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_149,plain,
( lhs_atom144
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_57_0,def_lhs_atom144]) ).
fof(def_lhs_atom145,axiom,
( lhs_atom145
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_150,plain,
( lhs_atom145
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_58_0,def_lhs_atom145]) ).
fof(def_lhs_atom146,axiom,
( lhs_atom146
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_151,plain,
( lhs_atom146
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_59_0,def_lhs_atom146]) ).
fof(def_lhs_atom147,axiom,
( lhs_atom147
<=> class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_152,plain,
( lhs_atom147
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_6_0,def_lhs_atom147]) ).
fof(def_lhs_atom148,axiom,
( lhs_atom148
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_153,plain,
( lhs_atom148
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_60_0,def_lhs_atom148]) ).
fof(def_lhs_atom149,axiom,
( lhs_atom149
<=> class_Divides_Odiv(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_154,plain,
( lhs_atom149
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_61_0,def_lhs_atom149]) ).
fof(def_lhs_atom150,axiom,
( lhs_atom150
<=> class_Nat_Opower(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_155,plain,
( lhs_atom150
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_62_0,def_lhs_atom150]) ).
fof(def_lhs_atom151,axiom,
( lhs_atom151
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_156,plain,
( lhs_atom151
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_63_0,def_lhs_atom151]) ).
fof(def_lhs_atom152,axiom,
( lhs_atom152
<=> class_Parity_Oeven__odd(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_157,plain,
( lhs_atom152
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_64_0,def_lhs_atom152]) ).
fof(def_lhs_atom153,axiom,
( lhs_atom153
<=> class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_158,plain,
( lhs_atom153
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_7_0,def_lhs_atom153]) ).
fof(def_lhs_atom154,axiom,
( lhs_atom154
<=> class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_159,plain,
( lhs_atom154
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_8_0,def_lhs_atom154]) ).
fof(def_lhs_atom155,axiom,
( lhs_atom155
<=> class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_160,plain,
( lhs_atom155
| $false ),
inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_9_0,def_lhs_atom155]) ).
fof(def_lhs_atom156,axiom,
( lhs_atom156
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
inference(definition,[],]) ).
fof(to_be_clausified_161,plain,
( lhs_atom156
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Product____Type__Ounit_0_0,def_lhs_atom156]) ).
fof(def_lhs_atom157,axiom,
( lhs_atom157
<=> class_Finite__Set_Ofinite(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_162,plain,
( lhs_atom157
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool_0_0,def_lhs_atom157]) ).
fof(def_lhs_atom158,axiom,
! [T_2,T_1] :
( lhs_atom158(T_2,T_1)
<=> class_Nat_Opower(tc_fun(T_2,T_1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_163,plain,
! [T_1,T_2] :
( lhs_atom158(T_2,T_1)
| $false ),
inference(fold_definition,[status(thm)],[clsarity_fun_1_0,def_lhs_atom158]) ).
fof(def_lhs_atom159,axiom,
( lhs_atom159
<=> class_HOL_Oone(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_164,plain,
( lhs_atom159
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_0_0,def_lhs_atom159]) ).
fof(def_lhs_atom160,axiom,
( lhs_atom160
<=> class_HOL_Ozero(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_165,plain,
( lhs_atom160
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_1_0,def_lhs_atom160]) ).
fof(def_lhs_atom161,axiom,
( lhs_atom161
<=> class_HOL_Oplus(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_166,plain,
( lhs_atom161
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_10_0,def_lhs_atom161]) ).
fof(def_lhs_atom162,axiom,
( lhs_atom162
<=> class_HOL_Otimes(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_167,plain,
( lhs_atom162
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_11_0,def_lhs_atom162]) ).
fof(def_lhs_atom163,axiom,
( lhs_atom163
<=> class_Nat_Opower(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_168,plain,
( lhs_atom163
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_12_0,def_lhs_atom163]) ).
fof(def_lhs_atom164,axiom,
( lhs_atom164
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_169,plain,
( lhs_atom164
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_13_0,def_lhs_atom164]) ).
fof(def_lhs_atom165,axiom,
( lhs_atom165
<=> class_OrderedGroup_Osemigroup__add(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_170,plain,
( lhs_atom165
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_14_0,def_lhs_atom165]) ).
fof(def_lhs_atom166,axiom,
( lhs_atom166
<=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_171,plain,
( lhs_atom166
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_15_0,def_lhs_atom166]) ).
fof(def_lhs_atom167,axiom,
( lhs_atom167
<=> class_OrderedGroup_Osemigroup__mult(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_172,plain,
( lhs_atom167
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_16_0,def_lhs_atom167]) ).
fof(def_lhs_atom168,axiom,
( lhs_atom168
<=> class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_173,plain,
( lhs_atom168
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_17_0,def_lhs_atom168]) ).
fof(def_lhs_atom169,axiom,
( lhs_atom169
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_174,plain,
( lhs_atom169
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_18_0,def_lhs_atom169]) ).
fof(def_lhs_atom170,axiom,
( lhs_atom170
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_175,plain,
( lhs_atom170
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_19_0,def_lhs_atom170]) ).
fof(def_lhs_atom171,axiom,
( lhs_atom171
<=> class_Orderings_Oord(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_176,plain,
( lhs_atom171
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_2_0,def_lhs_atom171]) ).
fof(def_lhs_atom172,axiom,
( lhs_atom172
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_177,plain,
( lhs_atom172
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_20_0,def_lhs_atom172]) ).
fof(def_lhs_atom173,axiom,
( lhs_atom173
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_178,plain,
( lhs_atom173
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_21_0,def_lhs_atom173]) ).
fof(def_lhs_atom174,axiom,
( lhs_atom174
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_179,plain,
( lhs_atom174
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_22_0,def_lhs_atom174]) ).
fof(def_lhs_atom175,axiom,
( lhs_atom175
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_180,plain,
( lhs_atom175
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_23_0,def_lhs_atom175]) ).
fof(def_lhs_atom176,axiom,
( lhs_atom176
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_181,plain,
( lhs_atom176
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_24_0,def_lhs_atom176]) ).
fof(def_lhs_atom177,axiom,
( lhs_atom177
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_182,plain,
( lhs_atom177
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_25_0,def_lhs_atom177]) ).
fof(def_lhs_atom178,axiom,
( lhs_atom178
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_183,plain,
( lhs_atom178
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_26_0,def_lhs_atom178]) ).
fof(def_lhs_atom179,axiom,
( lhs_atom179
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_184,plain,
( lhs_atom179
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_27_0,def_lhs_atom179]) ).
fof(def_lhs_atom180,axiom,
( lhs_atom180
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_185,plain,
( lhs_atom180
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_28_0,def_lhs_atom180]) ).
fof(def_lhs_atom181,axiom,
( lhs_atom181
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_186,plain,
( lhs_atom181
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_29_0,def_lhs_atom181]) ).
fof(def_lhs_atom182,axiom,
( lhs_atom182
<=> class_Orderings_Oorder(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_187,plain,
( lhs_atom182
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_3_0,def_lhs_atom182]) ).
fof(def_lhs_atom183,axiom,
( lhs_atom183
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_188,plain,
( lhs_atom183
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_30_0,def_lhs_atom183]) ).
fof(def_lhs_atom184,axiom,
( lhs_atom184
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_189,plain,
( lhs_atom184
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_31_0,def_lhs_atom184]) ).
fof(def_lhs_atom185,axiom,
( lhs_atom185
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_190,plain,
( lhs_atom185
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_32_0,def_lhs_atom185]) ).
fof(def_lhs_atom186,axiom,
( lhs_atom186
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_191,plain,
( lhs_atom186
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_33_0,def_lhs_atom186]) ).
fof(def_lhs_atom187,axiom,
( lhs_atom187
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_192,plain,
( lhs_atom187
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_34_0,def_lhs_atom187]) ).
fof(def_lhs_atom188,axiom,
( lhs_atom188
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_193,plain,
( lhs_atom188
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_35_0,def_lhs_atom188]) ).
fof(def_lhs_atom189,axiom,
( lhs_atom189
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_194,plain,
( lhs_atom189
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_36_0,def_lhs_atom189]) ).
fof(def_lhs_atom190,axiom,
( lhs_atom190
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_195,plain,
( lhs_atom190
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_37_0,def_lhs_atom190]) ).
fof(def_lhs_atom191,axiom,
( lhs_atom191
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_196,plain,
( lhs_atom191
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_38_0,def_lhs_atom191]) ).
fof(def_lhs_atom192,axiom,
( lhs_atom192
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_197,plain,
( lhs_atom192
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_39_0,def_lhs_atom192]) ).
fof(def_lhs_atom193,axiom,
( lhs_atom193
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_198,plain,
( lhs_atom193
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_4_0,def_lhs_atom193]) ).
fof(def_lhs_atom194,axiom,
( lhs_atom194
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_199,plain,
( lhs_atom194
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_40_0,def_lhs_atom194]) ).
fof(def_lhs_atom195,axiom,
( lhs_atom195
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_200,plain,
( lhs_atom195
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_41_0,def_lhs_atom195]) ).
fof(def_lhs_atom196,axiom,
( lhs_atom196
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_201,plain,
( lhs_atom196
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_42_0,def_lhs_atom196]) ).
fof(def_lhs_atom197,axiom,
( lhs_atom197
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_202,plain,
( lhs_atom197
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_43_0,def_lhs_atom197]) ).
fof(def_lhs_atom198,axiom,
( lhs_atom198
<=> class_Divides_Odiv(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_203,plain,
( lhs_atom198
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_44_0,def_lhs_atom198]) ).
fof(def_lhs_atom199,axiom,
( lhs_atom199
<=> class_Power_Orecpower(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_204,plain,
( lhs_atom199
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_45_0,def_lhs_atom199]) ).
fof(def_lhs_atom200,axiom,
( lhs_atom200
<=> class_Numeral_Onumber(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_205,plain,
( lhs_atom200
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_46_0,def_lhs_atom200]) ).
fof(def_lhs_atom201,axiom,
( lhs_atom201
<=> class_Parity_Oeven__odd(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_206,plain,
( lhs_atom201
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_47_0,def_lhs_atom201]) ).
fof(def_lhs_atom202,axiom,
( lhs_atom202
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_207,plain,
( lhs_atom202
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_5_0,def_lhs_atom202]) ).
fof(def_lhs_atom203,axiom,
( lhs_atom203
<=> class_LOrder_Olorder(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_208,plain,
( lhs_atom203
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_6_0,def_lhs_atom203]) ).
fof(def_lhs_atom204,axiom,
( lhs_atom204
<=> class_Orderings_Olinorder(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_209,plain,
( lhs_atom204
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_7_0,def_lhs_atom204]) ).
fof(def_lhs_atom205,axiom,
( lhs_atom205
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_210,plain,
( lhs_atom205
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_8_0,def_lhs_atom205]) ).
fof(def_lhs_atom206,axiom,
( lhs_atom206
<=> class_HOL_Ominus(tc_nat) ),
inference(definition,[],]) ).
fof(to_be_clausified_211,plain,
( lhs_atom206
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat_9_0,def_lhs_atom206]) ).
fof(def_lhs_atom207,axiom,
! [T_1] :
( lhs_atom207(T_1)
<=> class_HOL_Ominus(tc_set(T_1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_212,plain,
! [T_1] :
( lhs_atom207(T_1)
| $false ),
inference(fold_definition,[status(thm)],[clsarity_set_0_0,def_lhs_atom207]) ).
fof(def_lhs_atom208,axiom,
! [T_1] :
( lhs_atom208(T_1)
<=> class_Orderings_Oord(tc_set(T_1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_213,plain,
! [T_1] :
( lhs_atom208(T_1)
| $false ),
inference(fold_definition,[status(thm)],[clsarity_set_1_0,def_lhs_atom208]) ).
fof(def_lhs_atom209,axiom,
! [T_1] :
( lhs_atom209(T_1)
<=> class_Orderings_Oorder(tc_set(T_1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_214,plain,
! [T_1] :
( lhs_atom209(T_1)
| $false ),
inference(fold_definition,[status(thm)],[clsarity_set_2_0,def_lhs_atom209]) ).
fof(def_lhs_atom210,axiom,
! [T_1] :
( lhs_atom210(T_1)
<=> class_Nat_Opower(tc_set(T_1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_215,plain,
! [T_1] :
( lhs_atom210(T_1)
| $false ),
inference(fold_definition,[status(thm)],[clsarity_set_4_0,def_lhs_atom210]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X8,X5,X6,X7,X2] :
( lhs_atom13(X8,X5,X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_1,axiom,
! [X4,X5,X6,X7,X2] :
( lhs_atom12(X4,X5,X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_2,axiom,
! [X4,X5,X6,X7,X2] :
( lhs_atom11(X4,X5,X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_3,axiom,
! [X8,X5,X6,X7,X2] :
( lhs_atom10(X8,X5,X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_4,axiom,
! [X4,X5,X6,X7,X2] :
( lhs_atom8(X4,X5,X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_5,axiom,
! [X4,X5,X6,X7,X2] :
( lhs_atom4(X4,X5,X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_6,axiom,
! [X20,X4,X7,X2] :
( lhs_atom51(X20,X4,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_56) ).
fof(c_0_7,axiom,
! [X20,X4,X7,X2] :
( lhs_atom50(X20,X4,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_55) ).
fof(c_0_8,axiom,
! [X8,X4,X7,X2] :
( lhs_atom9(X8,X4,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_9,axiom,
! [X8,X4,X7,X2] :
( lhs_atom7(X8,X4,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_10,axiom,
! [X5,X6,X7,X2] :
( lhs_atom6(X5,X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_11,axiom,
! [X5,X6,X7,X2] :
( lhs_atom5(X5,X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_12,axiom,
! [X9,X4,X2] :
( lhs_atom87(X9,X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_92) ).
fof(c_0_13,axiom,
! [X1,X18,X2] :
( lhs_atom48(X1,X18,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_53) ).
fof(c_0_14,axiom,
! [X11,X13,X2] :
( lhs_atom30(X11,X13,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_15,axiom,
! [X12,X3,X2] :
( lhs_atom29(X12,X3,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_16,axiom,
! [X12,X3,X2] :
( lhs_atom28(X12,X3,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_17,axiom,
! [X11,X9,X2] :
( lhs_atom23(X11,X9,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_18,axiom,
! [X10,X9,X2] :
( lhs_atom20(X10,X9,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_19,axiom,
! [X23,X24] :
( lhs_atom158(X23,X24)
| ~ $true ),
file('<stdin>',to_be_clausified_163) ).
fof(c_0_20,axiom,
! [X19,X2] :
( lhs_atom86(X19,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_91) ).
fof(c_0_21,axiom,
! [X4,X2] :
( lhs_atom85(X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_90) ).
fof(c_0_22,axiom,
! [X19,X2] :
( lhs_atom84(X19,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_89) ).
fof(c_0_23,axiom,
! [X1,X2] :
( lhs_atom83(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_88) ).
fof(c_0_24,axiom,
! [X21,X22] :
( lhs_atom81(X21,X22)
| ~ $true ),
file('<stdin>',to_be_clausified_86) ).
fof(c_0_25,axiom,
! [X21,X22] :
( lhs_atom80(X21,X22)
| ~ $true ),
file('<stdin>',to_be_clausified_85) ).
fof(c_0_26,axiom,
! [X21,X22] :
( lhs_atom79(X21,X22)
| ~ $true ),
file('<stdin>',to_be_clausified_84) ).
fof(c_0_27,axiom,
! [X21,X22] :
( lhs_atom78(X21,X22)
| ~ $true ),
file('<stdin>',to_be_clausified_83) ).
fof(c_0_28,axiom,
! [X21,X22] :
( lhs_atom76(X21,X22)
| ~ $true ),
file('<stdin>',to_be_clausified_81) ).
fof(c_0_29,axiom,
! [X21,X22] :
( lhs_atom75(X21,X22)
| ~ $true ),
file('<stdin>',to_be_clausified_80) ).
fof(c_0_30,axiom,
! [X21,X22] :
( lhs_atom74(X21,X22)
| ~ $true ),
file('<stdin>',to_be_clausified_79) ).
fof(c_0_31,axiom,
! [X21,X22] :
( lhs_atom73(X21,X22)
| ~ $true ),
file('<stdin>',to_be_clausified_78) ).
fof(c_0_32,axiom,
! [X19,X2] :
( lhs_atom68(X19,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_73) ).
fof(c_0_33,axiom,
! [X10,X2] :
( lhs_atom67(X10,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_72) ).
fof(c_0_34,axiom,
! [X10,X2] :
( lhs_atom66(X10,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_71) ).
fof(c_0_35,axiom,
! [X10,X2] :
( lhs_atom65(X10,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_70) ).
fof(c_0_36,axiom,
! [X14,X8] :
( lhs_atom64(X14,X8)
| ~ $true ),
file('<stdin>',to_be_clausified_69) ).
fof(c_0_37,axiom,
! [X14,X8] :
( lhs_atom63(X14,X8)
| ~ $true ),
file('<stdin>',to_be_clausified_68) ).
fof(c_0_38,axiom,
! [X17,X14] :
( lhs_atom60(X17,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_65) ).
fof(c_0_39,axiom,
! [X17,X14] :
( lhs_atom59(X17,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_64) ).
fof(c_0_40,axiom,
! [X17,X14] :
( lhs_atom58(X17,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_63) ).
fof(c_0_41,axiom,
! [X17,X14] :
( lhs_atom57(X17,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_62) ).
fof(c_0_42,axiom,
! [X14,X8] :
( lhs_atom55(X14,X8)
| ~ $true ),
file('<stdin>',to_be_clausified_60) ).
fof(c_0_43,axiom,
! [X14,X8] :
( lhs_atom54(X14,X8)
| ~ $true ),
file('<stdin>',to_be_clausified_59) ).
fof(c_0_44,axiom,
! [X19,X2] :
( lhs_atom49(X19,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_54) ).
fof(c_0_45,axiom,
! [X4,X2] :
( lhs_atom47(X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_52) ).
fof(c_0_46,axiom,
! [X4,X2] :
( lhs_atom44(X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_49) ).
fof(c_0_47,axiom,
! [X15,X16] :
( lhs_atom40(X15,X16)
| ~ $true ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_48,axiom,
! [X15,X16] :
( lhs_atom39(X15,X16)
| ~ $true ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_49,axiom,
! [X10,X2] :
( lhs_atom25(X10,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_50,axiom,
! [X11,X2] :
( lhs_atom24(X11,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_51,axiom,
! [X10,X2] :
( lhs_atom25(X10,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_52,axiom,
! [X11,X2] :
( lhs_atom24(X11,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_53,axiom,
! [X9,X2] :
( lhs_atom15(X9,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_54,axiom,
! [X9,X2] :
( lhs_atom15(X9,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_55,axiom,
! [X3,X2] :
( lhs_atom3(X3,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_56,axiom,
! [X3,X2] :
( lhs_atom2(X3,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_57,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_58,axiom,
! [X24] :
( lhs_atom210(X24)
| ~ $true ),
file('<stdin>',to_be_clausified_215) ).
fof(c_0_59,axiom,
! [X24] :
( lhs_atom209(X24)
| ~ $true ),
file('<stdin>',to_be_clausified_214) ).
fof(c_0_60,axiom,
! [X24] :
( lhs_atom208(X24)
| ~ $true ),
file('<stdin>',to_be_clausified_213) ).
fof(c_0_61,axiom,
! [X24] :
( lhs_atom207(X24)
| ~ $true ),
file('<stdin>',to_be_clausified_212) ).
fof(c_0_62,axiom,
! [X2] :
( lhs_atom88(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_93) ).
fof(c_0_63,axiom,
! [X8] :
( lhs_atom82(X8)
| ~ $true ),
file('<stdin>',to_be_clausified_87) ).
fof(c_0_64,axiom,
! [X8] :
( lhs_atom77(X8)
| ~ $true ),
file('<stdin>',to_be_clausified_82) ).
fof(c_0_65,axiom,
! [X17] :
( lhs_atom72(X17)
| ~ $true ),
file('<stdin>',to_be_clausified_77) ).
fof(c_0_66,axiom,
! [X17] :
( lhs_atom71(X17)
| ~ $true ),
file('<stdin>',to_be_clausified_76) ).
fof(c_0_67,axiom,
! [X17] :
( lhs_atom70(X17)
| ~ $true ),
file('<stdin>',to_be_clausified_75) ).
fof(c_0_68,axiom,
! [X17] :
( lhs_atom69(X17)
| ~ $true ),
file('<stdin>',to_be_clausified_74) ).
fof(c_0_69,axiom,
! [X14] :
( lhs_atom62(X14)
| ~ $true ),
file('<stdin>',to_be_clausified_67) ).
fof(c_0_70,axiom,
! [X14] :
( lhs_atom61(X14)
| ~ $true ),
file('<stdin>',to_be_clausified_66) ).
fof(c_0_71,axiom,
! [X2] :
( lhs_atom56(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_61) ).
fof(c_0_72,axiom,
! [X8] :
( lhs_atom53(X8)
| ~ $true ),
file('<stdin>',to_be_clausified_58) ).
fof(c_0_73,axiom,
! [X14] :
( lhs_atom52(X14)
| ~ $true ),
file('<stdin>',to_be_clausified_57) ).
fof(c_0_74,axiom,
! [X2] :
( lhs_atom46(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_51) ).
fof(c_0_75,axiom,
! [X17] :
( lhs_atom41(X17)
| ~ $true ),
file('<stdin>',to_be_clausified_46) ).
fof(c_0_76,axiom,
! [X14] :
( lhs_atom33(X14)
| ~ $true ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_77,axiom,
! [X14] :
( lhs_atom32(X14)
| ~ $true ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_78,axiom,
! [X2] :
( lhs_atom31(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_79,axiom,
! [X2] :
( lhs_atom31(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_80,axiom,
! [X2] :
( lhs_atom22(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_81,axiom,
! [X2] :
( lhs_atom27(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_82,axiom,
! [X2] :
( lhs_atom26(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_83,axiom,
! [X2] :
( lhs_atom21(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_84,axiom,
! [X2] :
( lhs_atom22(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_85,axiom,
! [X2] :
( lhs_atom21(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_86,axiom,
( lhs_atom206
| ~ $true ),
file('<stdin>',to_be_clausified_211) ).
fof(c_0_87,axiom,
( lhs_atom205
| ~ $true ),
file('<stdin>',to_be_clausified_210) ).
fof(c_0_88,axiom,
( lhs_atom204
| ~ $true ),
file('<stdin>',to_be_clausified_209) ).
fof(c_0_89,axiom,
( lhs_atom203
| ~ $true ),
file('<stdin>',to_be_clausified_208) ).
fof(c_0_90,axiom,
( lhs_atom202
| ~ $true ),
file('<stdin>',to_be_clausified_207) ).
fof(c_0_91,axiom,
( lhs_atom201
| ~ $true ),
file('<stdin>',to_be_clausified_206) ).
fof(c_0_92,axiom,
( lhs_atom200
| ~ $true ),
file('<stdin>',to_be_clausified_205) ).
fof(c_0_93,axiom,
( lhs_atom199
| ~ $true ),
file('<stdin>',to_be_clausified_204) ).
fof(c_0_94,axiom,
( lhs_atom198
| ~ $true ),
file('<stdin>',to_be_clausified_203) ).
fof(c_0_95,axiom,
( lhs_atom197
| ~ $true ),
file('<stdin>',to_be_clausified_202) ).
fof(c_0_96,axiom,
( lhs_atom196
| ~ $true ),
file('<stdin>',to_be_clausified_201) ).
fof(c_0_97,axiom,
( lhs_atom195
| ~ $true ),
file('<stdin>',to_be_clausified_200) ).
fof(c_0_98,axiom,
( lhs_atom194
| ~ $true ),
file('<stdin>',to_be_clausified_199) ).
fof(c_0_99,axiom,
( lhs_atom193
| ~ $true ),
file('<stdin>',to_be_clausified_198) ).
fof(c_0_100,axiom,
( lhs_atom192
| ~ $true ),
file('<stdin>',to_be_clausified_197) ).
fof(c_0_101,axiom,
( lhs_atom191
| ~ $true ),
file('<stdin>',to_be_clausified_196) ).
fof(c_0_102,axiom,
( lhs_atom190
| ~ $true ),
file('<stdin>',to_be_clausified_195) ).
fof(c_0_103,axiom,
( lhs_atom189
| ~ $true ),
file('<stdin>',to_be_clausified_194) ).
fof(c_0_104,axiom,
( lhs_atom188
| ~ $true ),
file('<stdin>',to_be_clausified_193) ).
fof(c_0_105,axiom,
( lhs_atom187
| ~ $true ),
file('<stdin>',to_be_clausified_192) ).
fof(c_0_106,axiom,
( lhs_atom186
| ~ $true ),
file('<stdin>',to_be_clausified_191) ).
fof(c_0_107,axiom,
( lhs_atom185
| ~ $true ),
file('<stdin>',to_be_clausified_190) ).
fof(c_0_108,axiom,
( lhs_atom184
| ~ $true ),
file('<stdin>',to_be_clausified_189) ).
fof(c_0_109,axiom,
( lhs_atom183
| ~ $true ),
file('<stdin>',to_be_clausified_188) ).
fof(c_0_110,axiom,
( lhs_atom182
| ~ $true ),
file('<stdin>',to_be_clausified_187) ).
fof(c_0_111,axiom,
( lhs_atom181
| ~ $true ),
file('<stdin>',to_be_clausified_186) ).
fof(c_0_112,axiom,
( lhs_atom180
| ~ $true ),
file('<stdin>',to_be_clausified_185) ).
fof(c_0_113,axiom,
( lhs_atom179
| ~ $true ),
file('<stdin>',to_be_clausified_184) ).
fof(c_0_114,axiom,
( lhs_atom178
| ~ $true ),
file('<stdin>',to_be_clausified_183) ).
fof(c_0_115,axiom,
( lhs_atom177
| ~ $true ),
file('<stdin>',to_be_clausified_182) ).
fof(c_0_116,axiom,
( lhs_atom176
| ~ $true ),
file('<stdin>',to_be_clausified_181) ).
fof(c_0_117,axiom,
( lhs_atom175
| ~ $true ),
file('<stdin>',to_be_clausified_180) ).
fof(c_0_118,axiom,
( lhs_atom174
| ~ $true ),
file('<stdin>',to_be_clausified_179) ).
fof(c_0_119,axiom,
( lhs_atom173
| ~ $true ),
file('<stdin>',to_be_clausified_178) ).
fof(c_0_120,axiom,
( lhs_atom172
| ~ $true ),
file('<stdin>',to_be_clausified_177) ).
fof(c_0_121,axiom,
( lhs_atom171
| ~ $true ),
file('<stdin>',to_be_clausified_176) ).
fof(c_0_122,axiom,
( lhs_atom170
| ~ $true ),
file('<stdin>',to_be_clausified_175) ).
fof(c_0_123,axiom,
( lhs_atom169
| ~ $true ),
file('<stdin>',to_be_clausified_174) ).
fof(c_0_124,axiom,
( lhs_atom168
| ~ $true ),
file('<stdin>',to_be_clausified_173) ).
fof(c_0_125,axiom,
( lhs_atom167
| ~ $true ),
file('<stdin>',to_be_clausified_172) ).
fof(c_0_126,axiom,
( lhs_atom166
| ~ $true ),
file('<stdin>',to_be_clausified_171) ).
fof(c_0_127,axiom,
( lhs_atom165
| ~ $true ),
file('<stdin>',to_be_clausified_170) ).
fof(c_0_128,axiom,
( lhs_atom164
| ~ $true ),
file('<stdin>',to_be_clausified_169) ).
fof(c_0_129,axiom,
( lhs_atom163
| ~ $true ),
file('<stdin>',to_be_clausified_168) ).
fof(c_0_130,axiom,
( lhs_atom162
| ~ $true ),
file('<stdin>',to_be_clausified_167) ).
fof(c_0_131,axiom,
( lhs_atom161
| ~ $true ),
file('<stdin>',to_be_clausified_166) ).
fof(c_0_132,axiom,
( lhs_atom160
| ~ $true ),
file('<stdin>',to_be_clausified_165) ).
fof(c_0_133,axiom,
( lhs_atom159
| ~ $true ),
file('<stdin>',to_be_clausified_164) ).
fof(c_0_134,axiom,
( lhs_atom157
| ~ $true ),
file('<stdin>',to_be_clausified_162) ).
fof(c_0_135,axiom,
( lhs_atom156
| ~ $true ),
file('<stdin>',to_be_clausified_161) ).
fof(c_0_136,axiom,
( lhs_atom155
| ~ $true ),
file('<stdin>',to_be_clausified_160) ).
fof(c_0_137,axiom,
( lhs_atom154
| ~ $true ),
file('<stdin>',to_be_clausified_159) ).
fof(c_0_138,axiom,
( lhs_atom153
| ~ $true ),
file('<stdin>',to_be_clausified_158) ).
fof(c_0_139,axiom,
( lhs_atom152
| ~ $true ),
file('<stdin>',to_be_clausified_157) ).
fof(c_0_140,axiom,
( lhs_atom151
| ~ $true ),
file('<stdin>',to_be_clausified_156) ).
fof(c_0_141,axiom,
( lhs_atom150
| ~ $true ),
file('<stdin>',to_be_clausified_155) ).
fof(c_0_142,axiom,
( lhs_atom149
| ~ $true ),
file('<stdin>',to_be_clausified_154) ).
fof(c_0_143,axiom,
( lhs_atom148
| ~ $true ),
file('<stdin>',to_be_clausified_153) ).
fof(c_0_144,axiom,
( lhs_atom147
| ~ $true ),
file('<stdin>',to_be_clausified_152) ).
fof(c_0_145,axiom,
( lhs_atom146
| ~ $true ),
file('<stdin>',to_be_clausified_151) ).
fof(c_0_146,axiom,
( lhs_atom145
| ~ $true ),
file('<stdin>',to_be_clausified_150) ).
fof(c_0_147,axiom,
( lhs_atom144
| ~ $true ),
file('<stdin>',to_be_clausified_149) ).
fof(c_0_148,axiom,
( lhs_atom143
| ~ $true ),
file('<stdin>',to_be_clausified_148) ).
fof(c_0_149,axiom,
( lhs_atom142
| ~ $true ),
file('<stdin>',to_be_clausified_147) ).
fof(c_0_150,axiom,
( lhs_atom141
| ~ $true ),
file('<stdin>',to_be_clausified_146) ).
fof(c_0_151,axiom,
( lhs_atom140
| ~ $true ),
file('<stdin>',to_be_clausified_145) ).
fof(c_0_152,axiom,
( lhs_atom139
| ~ $true ),
file('<stdin>',to_be_clausified_144) ).
fof(c_0_153,axiom,
( lhs_atom138
| ~ $true ),
file('<stdin>',to_be_clausified_143) ).
fof(c_0_154,axiom,
( lhs_atom137
| ~ $true ),
file('<stdin>',to_be_clausified_142) ).
fof(c_0_155,axiom,
( lhs_atom136
| ~ $true ),
file('<stdin>',to_be_clausified_141) ).
fof(c_0_156,axiom,
( lhs_atom135
| ~ $true ),
file('<stdin>',to_be_clausified_140) ).
fof(c_0_157,axiom,
( lhs_atom134
| ~ $true ),
file('<stdin>',to_be_clausified_139) ).
fof(c_0_158,axiom,
( lhs_atom133
| ~ $true ),
file('<stdin>',to_be_clausified_138) ).
fof(c_0_159,axiom,
( lhs_atom132
| ~ $true ),
file('<stdin>',to_be_clausified_137) ).
fof(c_0_160,axiom,
( lhs_atom131
| ~ $true ),
file('<stdin>',to_be_clausified_136) ).
fof(c_0_161,axiom,
( lhs_atom130
| ~ $true ),
file('<stdin>',to_be_clausified_135) ).
fof(c_0_162,axiom,
( lhs_atom129
| ~ $true ),
file('<stdin>',to_be_clausified_134) ).
fof(c_0_163,axiom,
( lhs_atom128
| ~ $true ),
file('<stdin>',to_be_clausified_133) ).
fof(c_0_164,axiom,
( lhs_atom127
| ~ $true ),
file('<stdin>',to_be_clausified_132) ).
fof(c_0_165,axiom,
( lhs_atom126
| ~ $true ),
file('<stdin>',to_be_clausified_131) ).
fof(c_0_166,axiom,
( lhs_atom125
| ~ $true ),
file('<stdin>',to_be_clausified_130) ).
fof(c_0_167,axiom,
( lhs_atom124
| ~ $true ),
file('<stdin>',to_be_clausified_129) ).
fof(c_0_168,axiom,
( lhs_atom123
| ~ $true ),
file('<stdin>',to_be_clausified_128) ).
fof(c_0_169,axiom,
( lhs_atom122
| ~ $true ),
file('<stdin>',to_be_clausified_127) ).
fof(c_0_170,axiom,
( lhs_atom121
| ~ $true ),
file('<stdin>',to_be_clausified_126) ).
fof(c_0_171,axiom,
( lhs_atom120
| ~ $true ),
file('<stdin>',to_be_clausified_125) ).
fof(c_0_172,axiom,
( lhs_atom119
| ~ $true ),
file('<stdin>',to_be_clausified_124) ).
fof(c_0_173,axiom,
( lhs_atom118
| ~ $true ),
file('<stdin>',to_be_clausified_123) ).
fof(c_0_174,axiom,
( lhs_atom117
| ~ $true ),
file('<stdin>',to_be_clausified_122) ).
fof(c_0_175,axiom,
( lhs_atom116
| ~ $true ),
file('<stdin>',to_be_clausified_121) ).
fof(c_0_176,axiom,
( lhs_atom115
| ~ $true ),
file('<stdin>',to_be_clausified_120) ).
fof(c_0_177,axiom,
( lhs_atom114
| ~ $true ),
file('<stdin>',to_be_clausified_119) ).
fof(c_0_178,axiom,
( lhs_atom113
| ~ $true ),
file('<stdin>',to_be_clausified_118) ).
fof(c_0_179,axiom,
( lhs_atom112
| ~ $true ),
file('<stdin>',to_be_clausified_117) ).
fof(c_0_180,axiom,
( lhs_atom111
| ~ $true ),
file('<stdin>',to_be_clausified_116) ).
fof(c_0_181,axiom,
( lhs_atom110
| ~ $true ),
file('<stdin>',to_be_clausified_115) ).
fof(c_0_182,axiom,
( lhs_atom109
| ~ $true ),
file('<stdin>',to_be_clausified_114) ).
fof(c_0_183,axiom,
( lhs_atom108
| ~ $true ),
file('<stdin>',to_be_clausified_113) ).
fof(c_0_184,axiom,
( lhs_atom107
| ~ $true ),
file('<stdin>',to_be_clausified_112) ).
fof(c_0_185,axiom,
( lhs_atom106
| ~ $true ),
file('<stdin>',to_be_clausified_111) ).
fof(c_0_186,axiom,
( lhs_atom105
| ~ $true ),
file('<stdin>',to_be_clausified_110) ).
fof(c_0_187,axiom,
( lhs_atom104
| ~ $true ),
file('<stdin>',to_be_clausified_109) ).
fof(c_0_188,axiom,
( lhs_atom103
| ~ $true ),
file('<stdin>',to_be_clausified_108) ).
fof(c_0_189,axiom,
( lhs_atom102
| ~ $true ),
file('<stdin>',to_be_clausified_107) ).
fof(c_0_190,axiom,
( lhs_atom101
| ~ $true ),
file('<stdin>',to_be_clausified_106) ).
fof(c_0_191,axiom,
( lhs_atom100
| ~ $true ),
file('<stdin>',to_be_clausified_105) ).
fof(c_0_192,axiom,
( lhs_atom99
| ~ $true ),
file('<stdin>',to_be_clausified_104) ).
fof(c_0_193,axiom,
( lhs_atom98
| ~ $true ),
file('<stdin>',to_be_clausified_103) ).
fof(c_0_194,axiom,
( lhs_atom97
| ~ $true ),
file('<stdin>',to_be_clausified_102) ).
fof(c_0_195,axiom,
( lhs_atom96
| ~ $true ),
file('<stdin>',to_be_clausified_101) ).
fof(c_0_196,axiom,
( lhs_atom95
| ~ $true ),
file('<stdin>',to_be_clausified_100) ).
fof(c_0_197,axiom,
( lhs_atom94
| ~ $true ),
file('<stdin>',to_be_clausified_99) ).
fof(c_0_198,axiom,
( lhs_atom93
| ~ $true ),
file('<stdin>',to_be_clausified_98) ).
fof(c_0_199,axiom,
( lhs_atom92
| ~ $true ),
file('<stdin>',to_be_clausified_97) ).
fof(c_0_200,axiom,
( lhs_atom91
| ~ $true ),
file('<stdin>',to_be_clausified_96) ).
fof(c_0_201,axiom,
( lhs_atom90
| ~ $true ),
file('<stdin>',to_be_clausified_95) ).
fof(c_0_202,axiom,
( lhs_atom89
| ~ $true ),
file('<stdin>',to_be_clausified_94) ).
fof(c_0_203,axiom,
( lhs_atom45
| ~ $true ),
file('<stdin>',to_be_clausified_50) ).
fof(c_0_204,axiom,
( lhs_atom43
| ~ $true ),
file('<stdin>',to_be_clausified_48) ).
fof(c_0_205,axiom,
( lhs_atom42
| ~ $true ),
file('<stdin>',to_be_clausified_47) ).
fof(c_0_206,axiom,
( lhs_atom38
| ~ $true ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_207,axiom,
( lhs_atom37
| ~ $true ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_208,axiom,
( lhs_atom36
| ~ $true ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_209,axiom,
( lhs_atom35
| ~ $true ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_210,axiom,
( lhs_atom34
| ~ $true ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_211,axiom,
( lhs_atom19
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_212,axiom,
( lhs_atom18
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_213,axiom,
( lhs_atom17
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_214,axiom,
( lhs_atom16
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_215,axiom,
( lhs_atom14
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_216,plain,
! [X8,X5,X6,X7,X2] : lhs_atom13(X8,X5,X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_217,plain,
! [X4,X5,X6,X7,X2] : lhs_atom12(X4,X5,X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_218,plain,
! [X4,X5,X6,X7,X2] : lhs_atom11(X4,X5,X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_219,plain,
! [X8,X5,X6,X7,X2] : lhs_atom10(X8,X5,X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_220,plain,
! [X4,X5,X6,X7,X2] : lhs_atom8(X4,X5,X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_221,plain,
! [X4,X5,X6,X7,X2] : lhs_atom4(X4,X5,X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_222,plain,
! [X20,X4,X7,X2] : lhs_atom51(X20,X4,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_223,plain,
! [X20,X4,X7,X2] : lhs_atom50(X20,X4,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_224,plain,
! [X8,X4,X7,X2] : lhs_atom9(X8,X4,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_225,plain,
! [X8,X4,X7,X2] : lhs_atom7(X8,X4,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_226,plain,
! [X5,X6,X7,X2] : lhs_atom6(X5,X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_227,plain,
! [X5,X6,X7,X2] : lhs_atom5(X5,X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_228,plain,
! [X9,X4,X2] : lhs_atom87(X9,X4,X2),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_229,plain,
! [X1,X18,X2] : lhs_atom48(X1,X18,X2),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_230,plain,
! [X11,X13,X2] : lhs_atom30(X11,X13,X2),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_231,plain,
! [X12,X3,X2] : lhs_atom29(X12,X3,X2),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_232,plain,
! [X12,X3,X2] : lhs_atom28(X12,X3,X2),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_233,plain,
! [X11,X9,X2] : lhs_atom23(X11,X9,X2),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_234,plain,
! [X10,X9,X2] : lhs_atom20(X10,X9,X2),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_235,plain,
! [X23,X24] : lhs_atom158(X23,X24),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_236,plain,
! [X19,X2] : lhs_atom86(X19,X2),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_237,plain,
! [X4,X2] : lhs_atom85(X4,X2),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_238,plain,
! [X19,X2] : lhs_atom84(X19,X2),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_239,plain,
! [X1,X2] : lhs_atom83(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_240,plain,
! [X21,X22] : lhs_atom81(X21,X22),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_241,plain,
! [X21,X22] : lhs_atom80(X21,X22),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_242,plain,
! [X21,X22] : lhs_atom79(X21,X22),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_243,plain,
! [X21,X22] : lhs_atom78(X21,X22),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_244,plain,
! [X21,X22] : lhs_atom76(X21,X22),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_245,plain,
! [X21,X22] : lhs_atom75(X21,X22),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_246,plain,
! [X21,X22] : lhs_atom74(X21,X22),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_247,plain,
! [X21,X22] : lhs_atom73(X21,X22),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_248,plain,
! [X19,X2] : lhs_atom68(X19,X2),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_249,plain,
! [X10,X2] : lhs_atom67(X10,X2),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_250,plain,
! [X10,X2] : lhs_atom66(X10,X2),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_251,plain,
! [X10,X2] : lhs_atom65(X10,X2),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_252,plain,
! [X14,X8] : lhs_atom64(X14,X8),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_253,plain,
! [X14,X8] : lhs_atom63(X14,X8),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_254,plain,
! [X17,X14] : lhs_atom60(X17,X14),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_255,plain,
! [X17,X14] : lhs_atom59(X17,X14),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_256,plain,
! [X17,X14] : lhs_atom58(X17,X14),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_257,plain,
! [X17,X14] : lhs_atom57(X17,X14),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_258,plain,
! [X14,X8] : lhs_atom55(X14,X8),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_259,plain,
! [X14,X8] : lhs_atom54(X14,X8),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_260,plain,
! [X19,X2] : lhs_atom49(X19,X2),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_261,plain,
! [X4,X2] : lhs_atom47(X4,X2),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_262,plain,
! [X4,X2] : lhs_atom44(X4,X2),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_263,plain,
! [X15,X16] : lhs_atom40(X15,X16),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_264,plain,
! [X15,X16] : lhs_atom39(X15,X16),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_265,plain,
! [X10,X2] : lhs_atom25(X10,X2),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_266,plain,
! [X11,X2] : lhs_atom24(X11,X2),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_267,plain,
! [X10,X2] : lhs_atom25(X10,X2),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_268,plain,
! [X11,X2] : lhs_atom24(X11,X2),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_269,plain,
! [X9,X2] : lhs_atom15(X9,X2),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_270,plain,
! [X9,X2] : lhs_atom15(X9,X2),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_271,plain,
! [X3,X2] : lhs_atom3(X3,X2),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_272,plain,
! [X3,X2] : lhs_atom2(X3,X2),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_273,plain,
! [X1,X2] : lhs_atom1(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_274,plain,
! [X24] : lhs_atom210(X24),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_275,plain,
! [X24] : lhs_atom209(X24),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_276,plain,
! [X24] : lhs_atom208(X24),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_277,plain,
! [X24] : lhs_atom207(X24),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_278,plain,
! [X2] : lhs_atom88(X2),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_279,plain,
! [X8] : lhs_atom82(X8),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_280,plain,
! [X8] : lhs_atom77(X8),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_281,plain,
! [X17] : lhs_atom72(X17),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_282,plain,
! [X17] : lhs_atom71(X17),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_283,plain,
! [X17] : lhs_atom70(X17),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_284,plain,
! [X17] : lhs_atom69(X17),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_285,plain,
! [X14] : lhs_atom62(X14),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_286,plain,
! [X14] : lhs_atom61(X14),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_287,plain,
! [X2] : lhs_atom56(X2),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_288,plain,
! [X8] : lhs_atom53(X8),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_289,plain,
! [X14] : lhs_atom52(X14),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_290,plain,
! [X2] : lhs_atom46(X2),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_291,plain,
! [X17] : lhs_atom41(X17),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_292,plain,
! [X14] : lhs_atom33(X14),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_293,plain,
! [X14] : lhs_atom32(X14),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_294,plain,
! [X2] : lhs_atom31(X2),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_295,plain,
! [X2] : lhs_atom31(X2),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_296,plain,
! [X2] : lhs_atom22(X2),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_297,plain,
! [X2] : lhs_atom27(X2),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_298,plain,
! [X2] : lhs_atom26(X2),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_299,plain,
! [X2] : lhs_atom21(X2),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_300,plain,
! [X2] : lhs_atom22(X2),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_301,plain,
! [X2] : lhs_atom21(X2),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_302,plain,
lhs_atom206,
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_303,plain,
lhs_atom205,
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_304,plain,
lhs_atom204,
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_305,plain,
lhs_atom203,
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_306,plain,
lhs_atom202,
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_307,plain,
lhs_atom201,
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_308,plain,
lhs_atom200,
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_309,plain,
lhs_atom199,
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_310,plain,
lhs_atom198,
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_311,plain,
lhs_atom197,
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_312,plain,
lhs_atom196,
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_313,plain,
lhs_atom195,
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_314,plain,
lhs_atom194,
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_315,plain,
lhs_atom193,
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_316,plain,
lhs_atom192,
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_317,plain,
lhs_atom191,
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_318,plain,
lhs_atom190,
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_319,plain,
lhs_atom189,
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_320,plain,
lhs_atom188,
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_321,plain,
lhs_atom187,
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_322,plain,
lhs_atom186,
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_323,plain,
lhs_atom185,
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_324,plain,
lhs_atom184,
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_325,plain,
lhs_atom183,
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_326,plain,
lhs_atom182,
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_327,plain,
lhs_atom181,
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_328,plain,
lhs_atom180,
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_329,plain,
lhs_atom179,
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_330,plain,
lhs_atom178,
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_331,plain,
lhs_atom177,
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_332,plain,
lhs_atom176,
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_333,plain,
lhs_atom175,
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_334,plain,
lhs_atom174,
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_335,plain,
lhs_atom173,
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_336,plain,
lhs_atom172,
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_337,plain,
lhs_atom171,
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_338,plain,
lhs_atom170,
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_339,plain,
lhs_atom169,
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_340,plain,
lhs_atom168,
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_341,plain,
lhs_atom167,
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_342,plain,
lhs_atom166,
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_343,plain,
lhs_atom165,
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_344,plain,
lhs_atom164,
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_345,plain,
lhs_atom163,
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_346,plain,
lhs_atom162,
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_347,plain,
lhs_atom161,
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_348,plain,
lhs_atom160,
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_349,plain,
lhs_atom159,
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_350,plain,
lhs_atom157,
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_351,plain,
lhs_atom156,
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_352,plain,
lhs_atom155,
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_353,plain,
lhs_atom154,
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_354,plain,
lhs_atom153,
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_355,plain,
lhs_atom152,
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_356,plain,
lhs_atom151,
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_357,plain,
lhs_atom150,
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_358,plain,
lhs_atom149,
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_359,plain,
lhs_atom148,
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_360,plain,
lhs_atom147,
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_361,plain,
lhs_atom146,
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_362,plain,
lhs_atom145,
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_363,plain,
lhs_atom144,
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_364,plain,
lhs_atom143,
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_365,plain,
lhs_atom142,
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_366,plain,
lhs_atom141,
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_367,plain,
lhs_atom140,
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_368,plain,
lhs_atom139,
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_369,plain,
lhs_atom138,
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_370,plain,
lhs_atom137,
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_371,plain,
lhs_atom136,
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_372,plain,
lhs_atom135,
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_373,plain,
lhs_atom134,
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_374,plain,
lhs_atom133,
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_375,plain,
lhs_atom132,
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_376,plain,
lhs_atom131,
inference(fof_simplification,[status(thm)],[c_0_160]) ).
fof(c_0_377,plain,
lhs_atom130,
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_378,plain,
lhs_atom129,
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_379,plain,
lhs_atom128,
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_380,plain,
lhs_atom127,
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_381,plain,
lhs_atom126,
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_382,plain,
lhs_atom125,
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_383,plain,
lhs_atom124,
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_384,plain,
lhs_atom123,
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_385,plain,
lhs_atom122,
inference(fof_simplification,[status(thm)],[c_0_169]) ).
fof(c_0_386,plain,
lhs_atom121,
inference(fof_simplification,[status(thm)],[c_0_170]) ).
fof(c_0_387,plain,
lhs_atom120,
inference(fof_simplification,[status(thm)],[c_0_171]) ).
fof(c_0_388,plain,
lhs_atom119,
inference(fof_simplification,[status(thm)],[c_0_172]) ).
fof(c_0_389,plain,
lhs_atom118,
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_390,plain,
lhs_atom117,
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_391,plain,
lhs_atom116,
inference(fof_simplification,[status(thm)],[c_0_175]) ).
fof(c_0_392,plain,
lhs_atom115,
inference(fof_simplification,[status(thm)],[c_0_176]) ).
fof(c_0_393,plain,
lhs_atom114,
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_394,plain,
lhs_atom113,
inference(fof_simplification,[status(thm)],[c_0_178]) ).
fof(c_0_395,plain,
lhs_atom112,
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_396,plain,
lhs_atom111,
inference(fof_simplification,[status(thm)],[c_0_180]) ).
fof(c_0_397,plain,
lhs_atom110,
inference(fof_simplification,[status(thm)],[c_0_181]) ).
fof(c_0_398,plain,
lhs_atom109,
inference(fof_simplification,[status(thm)],[c_0_182]) ).
fof(c_0_399,plain,
lhs_atom108,
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_400,plain,
lhs_atom107,
inference(fof_simplification,[status(thm)],[c_0_184]) ).
fof(c_0_401,plain,
lhs_atom106,
inference(fof_simplification,[status(thm)],[c_0_185]) ).
fof(c_0_402,plain,
lhs_atom105,
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_403,plain,
lhs_atom104,
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_404,plain,
lhs_atom103,
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_405,plain,
lhs_atom102,
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_406,plain,
lhs_atom101,
inference(fof_simplification,[status(thm)],[c_0_190]) ).
fof(c_0_407,plain,
lhs_atom100,
inference(fof_simplification,[status(thm)],[c_0_191]) ).
fof(c_0_408,plain,
lhs_atom99,
inference(fof_simplification,[status(thm)],[c_0_192]) ).
fof(c_0_409,plain,
lhs_atom98,
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_410,plain,
lhs_atom97,
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_411,plain,
lhs_atom96,
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_412,plain,
lhs_atom95,
inference(fof_simplification,[status(thm)],[c_0_196]) ).
fof(c_0_413,plain,
lhs_atom94,
inference(fof_simplification,[status(thm)],[c_0_197]) ).
fof(c_0_414,plain,
lhs_atom93,
inference(fof_simplification,[status(thm)],[c_0_198]) ).
fof(c_0_415,plain,
lhs_atom92,
inference(fof_simplification,[status(thm)],[c_0_199]) ).
fof(c_0_416,plain,
lhs_atom91,
inference(fof_simplification,[status(thm)],[c_0_200]) ).
fof(c_0_417,plain,
lhs_atom90,
inference(fof_simplification,[status(thm)],[c_0_201]) ).
fof(c_0_418,plain,
lhs_atom89,
inference(fof_simplification,[status(thm)],[c_0_202]) ).
fof(c_0_419,plain,
lhs_atom45,
inference(fof_simplification,[status(thm)],[c_0_203]) ).
fof(c_0_420,plain,
lhs_atom43,
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_421,plain,
lhs_atom42,
inference(fof_simplification,[status(thm)],[c_0_205]) ).
fof(c_0_422,plain,
lhs_atom38,
inference(fof_simplification,[status(thm)],[c_0_206]) ).
fof(c_0_423,plain,
lhs_atom37,
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_424,plain,
lhs_atom36,
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_425,plain,
lhs_atom35,
inference(fof_simplification,[status(thm)],[c_0_209]) ).
fof(c_0_426,plain,
lhs_atom34,
inference(fof_simplification,[status(thm)],[c_0_210]) ).
fof(c_0_427,plain,
lhs_atom19,
inference(fof_simplification,[status(thm)],[c_0_211]) ).
fof(c_0_428,plain,
lhs_atom18,
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_429,plain,
lhs_atom17,
inference(fof_simplification,[status(thm)],[c_0_213]) ).
fof(c_0_430,plain,
lhs_atom16,
inference(fof_simplification,[status(thm)],[c_0_214]) ).
fof(c_0_431,plain,
lhs_atom14,
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_432,plain,
! [X9,X10,X11,X12,X13] : lhs_atom13(X9,X10,X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_216]) ).
fof(c_0_433,plain,
! [X8,X9,X10,X11,X12] : lhs_atom12(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_217]) ).
fof(c_0_434,plain,
! [X8,X9,X10,X11,X12] : lhs_atom11(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_218]) ).
fof(c_0_435,plain,
! [X9,X10,X11,X12,X13] : lhs_atom10(X9,X10,X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_219]) ).
fof(c_0_436,plain,
! [X8,X9,X10,X11,X12] : lhs_atom8(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_220]) ).
fof(c_0_437,plain,
! [X8,X9,X10,X11,X12] : lhs_atom4(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_221]) ).
fof(c_0_438,plain,
! [X21,X22,X23,X24] : lhs_atom51(X21,X22,X23,X24),
inference(variable_rename,[status(thm)],[c_0_222]) ).
fof(c_0_439,plain,
! [X21,X22,X23,X24] : lhs_atom50(X21,X22,X23,X24),
inference(variable_rename,[status(thm)],[c_0_223]) ).
fof(c_0_440,plain,
! [X9,X10,X11,X12] : lhs_atom9(X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_224]) ).
fof(c_0_441,plain,
! [X9,X10,X11,X12] : lhs_atom7(X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_225]) ).
fof(c_0_442,plain,
! [X8,X9,X10,X11] : lhs_atom6(X8,X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_226]) ).
fof(c_0_443,plain,
! [X8,X9,X10,X11] : lhs_atom5(X8,X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_227]) ).
fof(c_0_444,plain,
! [X10,X11,X12] : lhs_atom87(X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_228]) ).
fof(c_0_445,plain,
! [X19,X20,X21] : lhs_atom48(X19,X20,X21),
inference(variable_rename,[status(thm)],[c_0_229]) ).
fof(c_0_446,plain,
! [X14,X15,X16] : lhs_atom30(X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_230]) ).
fof(c_0_447,plain,
! [X13,X14,X15] : lhs_atom29(X13,X14,X15),
inference(variable_rename,[status(thm)],[c_0_231]) ).
fof(c_0_448,plain,
! [X13,X14,X15] : lhs_atom28(X13,X14,X15),
inference(variable_rename,[status(thm)],[c_0_232]) ).
fof(c_0_449,plain,
! [X12,X13,X14] : lhs_atom23(X12,X13,X14),
inference(variable_rename,[status(thm)],[c_0_233]) ).
fof(c_0_450,plain,
! [X11,X12,X13] : lhs_atom20(X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_234]) ).
fof(c_0_451,plain,
! [X25,X26] : lhs_atom158(X25,X26),
inference(variable_rename,[status(thm)],[c_0_235]) ).
fof(c_0_452,plain,
! [X20,X21] : lhs_atom86(X20,X21),
inference(variable_rename,[status(thm)],[c_0_236]) ).
fof(c_0_453,plain,
! [X5,X6] : lhs_atom85(X5,X6),
inference(variable_rename,[status(thm)],[c_0_237]) ).
fof(c_0_454,plain,
! [X20,X21] : lhs_atom84(X20,X21),
inference(variable_rename,[status(thm)],[c_0_238]) ).
fof(c_0_455,plain,
! [X3,X4] : lhs_atom83(X3,X4),
inference(variable_rename,[status(thm)],[c_0_239]) ).
fof(c_0_456,plain,
! [X23,X24] : lhs_atom81(X23,X24),
inference(variable_rename,[status(thm)],[c_0_240]) ).
fof(c_0_457,plain,
! [X23,X24] : lhs_atom80(X23,X24),
inference(variable_rename,[status(thm)],[c_0_241]) ).
fof(c_0_458,plain,
! [X23,X24] : lhs_atom79(X23,X24),
inference(variable_rename,[status(thm)],[c_0_242]) ).
fof(c_0_459,plain,
! [X23,X24] : lhs_atom78(X23,X24),
inference(variable_rename,[status(thm)],[c_0_243]) ).
fof(c_0_460,plain,
! [X23,X24] : lhs_atom76(X23,X24),
inference(variable_rename,[status(thm)],[c_0_244]) ).
fof(c_0_461,plain,
! [X23,X24] : lhs_atom75(X23,X24),
inference(variable_rename,[status(thm)],[c_0_245]) ).
fof(c_0_462,plain,
! [X23,X24] : lhs_atom74(X23,X24),
inference(variable_rename,[status(thm)],[c_0_246]) ).
fof(c_0_463,plain,
! [X23,X24] : lhs_atom73(X23,X24),
inference(variable_rename,[status(thm)],[c_0_247]) ).
fof(c_0_464,plain,
! [X20,X21] : lhs_atom68(X20,X21),
inference(variable_rename,[status(thm)],[c_0_248]) ).
fof(c_0_465,plain,
! [X11,X12] : lhs_atom67(X11,X12),
inference(variable_rename,[status(thm)],[c_0_249]) ).
fof(c_0_466,plain,
! [X11,X12] : lhs_atom66(X11,X12),
inference(variable_rename,[status(thm)],[c_0_250]) ).
fof(c_0_467,plain,
! [X11,X12] : lhs_atom65(X11,X12),
inference(variable_rename,[status(thm)],[c_0_251]) ).
fof(c_0_468,plain,
! [X15,X16] : lhs_atom64(X15,X16),
inference(variable_rename,[status(thm)],[c_0_252]) ).
fof(c_0_469,plain,
! [X15,X16] : lhs_atom63(X15,X16),
inference(variable_rename,[status(thm)],[c_0_253]) ).
fof(c_0_470,plain,
! [X18,X19] : lhs_atom60(X18,X19),
inference(variable_rename,[status(thm)],[c_0_254]) ).
fof(c_0_471,plain,
! [X18,X19] : lhs_atom59(X18,X19),
inference(variable_rename,[status(thm)],[c_0_255]) ).
fof(c_0_472,plain,
! [X18,X19] : lhs_atom58(X18,X19),
inference(variable_rename,[status(thm)],[c_0_256]) ).
fof(c_0_473,plain,
! [X18,X19] : lhs_atom57(X18,X19),
inference(variable_rename,[status(thm)],[c_0_257]) ).
fof(c_0_474,plain,
! [X15,X16] : lhs_atom55(X15,X16),
inference(variable_rename,[status(thm)],[c_0_258]) ).
fof(c_0_475,plain,
! [X15,X16] : lhs_atom54(X15,X16),
inference(variable_rename,[status(thm)],[c_0_259]) ).
fof(c_0_476,plain,
! [X20,X21] : lhs_atom49(X20,X21),
inference(variable_rename,[status(thm)],[c_0_260]) ).
fof(c_0_477,plain,
! [X5,X6] : lhs_atom47(X5,X6),
inference(variable_rename,[status(thm)],[c_0_261]) ).
fof(c_0_478,plain,
! [X5,X6] : lhs_atom44(X5,X6),
inference(variable_rename,[status(thm)],[c_0_262]) ).
fof(c_0_479,plain,
! [X17,X18] : lhs_atom40(X17,X18),
inference(variable_rename,[status(thm)],[c_0_263]) ).
fof(c_0_480,plain,
! [X17,X18] : lhs_atom39(X17,X18),
inference(variable_rename,[status(thm)],[c_0_264]) ).
fof(c_0_481,plain,
! [X11,X12] : lhs_atom25(X11,X12),
inference(variable_rename,[status(thm)],[c_0_265]) ).
fof(c_0_482,plain,
! [X12,X13] : lhs_atom24(X12,X13),
inference(variable_rename,[status(thm)],[c_0_266]) ).
fof(c_0_483,plain,
! [X11,X12] : lhs_atom25(X11,X12),
inference(variable_rename,[status(thm)],[c_0_267]) ).
fof(c_0_484,plain,
! [X12,X13] : lhs_atom24(X12,X13),
inference(variable_rename,[status(thm)],[c_0_268]) ).
fof(c_0_485,plain,
! [X10,X11] : lhs_atom15(X10,X11),
inference(variable_rename,[status(thm)],[c_0_269]) ).
fof(c_0_486,plain,
! [X10,X11] : lhs_atom15(X10,X11),
inference(variable_rename,[status(thm)],[c_0_270]) ).
fof(c_0_487,plain,
! [X4,X5] : lhs_atom3(X4,X5),
inference(variable_rename,[status(thm)],[c_0_271]) ).
fof(c_0_488,plain,
! [X4,X5] : lhs_atom2(X4,X5),
inference(variable_rename,[status(thm)],[c_0_272]) ).
fof(c_0_489,plain,
! [X3,X4] : lhs_atom1(X3,X4),
inference(variable_rename,[status(thm)],[c_0_273]) ).
fof(c_0_490,plain,
! [X25] : lhs_atom210(X25),
inference(variable_rename,[status(thm)],[c_0_274]) ).
fof(c_0_491,plain,
! [X25] : lhs_atom209(X25),
inference(variable_rename,[status(thm)],[c_0_275]) ).
fof(c_0_492,plain,
! [X25] : lhs_atom208(X25),
inference(variable_rename,[status(thm)],[c_0_276]) ).
fof(c_0_493,plain,
! [X25] : lhs_atom207(X25),
inference(variable_rename,[status(thm)],[c_0_277]) ).
fof(c_0_494,plain,
! [X3] : lhs_atom88(X3),
inference(variable_rename,[status(thm)],[c_0_278]) ).
fof(c_0_495,plain,
! [X9] : lhs_atom82(X9),
inference(variable_rename,[status(thm)],[c_0_279]) ).
fof(c_0_496,plain,
! [X9] : lhs_atom77(X9),
inference(variable_rename,[status(thm)],[c_0_280]) ).
fof(c_0_497,plain,
! [X18] : lhs_atom72(X18),
inference(variable_rename,[status(thm)],[c_0_281]) ).
fof(c_0_498,plain,
! [X18] : lhs_atom71(X18),
inference(variable_rename,[status(thm)],[c_0_282]) ).
fof(c_0_499,plain,
! [X18] : lhs_atom70(X18),
inference(variable_rename,[status(thm)],[c_0_283]) ).
fof(c_0_500,plain,
! [X18] : lhs_atom69(X18),
inference(variable_rename,[status(thm)],[c_0_284]) ).
fof(c_0_501,plain,
! [X15] : lhs_atom62(X15),
inference(variable_rename,[status(thm)],[c_0_285]) ).
fof(c_0_502,plain,
! [X15] : lhs_atom61(X15),
inference(variable_rename,[status(thm)],[c_0_286]) ).
fof(c_0_503,plain,
! [X3] : lhs_atom56(X3),
inference(variable_rename,[status(thm)],[c_0_287]) ).
fof(c_0_504,plain,
! [X9] : lhs_atom53(X9),
inference(variable_rename,[status(thm)],[c_0_288]) ).
fof(c_0_505,plain,
! [X15] : lhs_atom52(X15),
inference(variable_rename,[status(thm)],[c_0_289]) ).
fof(c_0_506,plain,
! [X3] : lhs_atom46(X3),
inference(variable_rename,[status(thm)],[c_0_290]) ).
fof(c_0_507,plain,
! [X18] : lhs_atom41(X18),
inference(variable_rename,[status(thm)],[c_0_291]) ).
fof(c_0_508,plain,
! [X15] : lhs_atom33(X15),
inference(variable_rename,[status(thm)],[c_0_292]) ).
fof(c_0_509,plain,
! [X15] : lhs_atom32(X15),
inference(variable_rename,[status(thm)],[c_0_293]) ).
fof(c_0_510,plain,
! [X3] : lhs_atom31(X3),
inference(variable_rename,[status(thm)],[c_0_294]) ).
fof(c_0_511,plain,
! [X3] : lhs_atom31(X3),
inference(variable_rename,[status(thm)],[c_0_295]) ).
fof(c_0_512,plain,
! [X3] : lhs_atom22(X3),
inference(variable_rename,[status(thm)],[c_0_296]) ).
fof(c_0_513,plain,
! [X3] : lhs_atom27(X3),
inference(variable_rename,[status(thm)],[c_0_297]) ).
fof(c_0_514,plain,
! [X3] : lhs_atom26(X3),
inference(variable_rename,[status(thm)],[c_0_298]) ).
fof(c_0_515,plain,
! [X3] : lhs_atom21(X3),
inference(variable_rename,[status(thm)],[c_0_299]) ).
fof(c_0_516,plain,
! [X3] : lhs_atom22(X3),
inference(variable_rename,[status(thm)],[c_0_300]) ).
fof(c_0_517,plain,
! [X3] : lhs_atom21(X3),
inference(variable_rename,[status(thm)],[c_0_301]) ).
fof(c_0_518,plain,
lhs_atom206,
c_0_302 ).
fof(c_0_519,plain,
lhs_atom205,
c_0_303 ).
fof(c_0_520,plain,
lhs_atom204,
c_0_304 ).
fof(c_0_521,plain,
lhs_atom203,
c_0_305 ).
fof(c_0_522,plain,
lhs_atom202,
c_0_306 ).
fof(c_0_523,plain,
lhs_atom201,
c_0_307 ).
fof(c_0_524,plain,
lhs_atom200,
c_0_308 ).
fof(c_0_525,plain,
lhs_atom199,
c_0_309 ).
fof(c_0_526,plain,
lhs_atom198,
c_0_310 ).
fof(c_0_527,plain,
lhs_atom197,
c_0_311 ).
fof(c_0_528,plain,
lhs_atom196,
c_0_312 ).
fof(c_0_529,plain,
lhs_atom195,
c_0_313 ).
fof(c_0_530,plain,
lhs_atom194,
c_0_314 ).
fof(c_0_531,plain,
lhs_atom193,
c_0_315 ).
fof(c_0_532,plain,
lhs_atom192,
c_0_316 ).
fof(c_0_533,plain,
lhs_atom191,
c_0_317 ).
fof(c_0_534,plain,
lhs_atom190,
c_0_318 ).
fof(c_0_535,plain,
lhs_atom189,
c_0_319 ).
fof(c_0_536,plain,
lhs_atom188,
c_0_320 ).
fof(c_0_537,plain,
lhs_atom187,
c_0_321 ).
fof(c_0_538,plain,
lhs_atom186,
c_0_322 ).
fof(c_0_539,plain,
lhs_atom185,
c_0_323 ).
fof(c_0_540,plain,
lhs_atom184,
c_0_324 ).
fof(c_0_541,plain,
lhs_atom183,
c_0_325 ).
fof(c_0_542,plain,
lhs_atom182,
c_0_326 ).
fof(c_0_543,plain,
lhs_atom181,
c_0_327 ).
fof(c_0_544,plain,
lhs_atom180,
c_0_328 ).
fof(c_0_545,plain,
lhs_atom179,
c_0_329 ).
fof(c_0_546,plain,
lhs_atom178,
c_0_330 ).
fof(c_0_547,plain,
lhs_atom177,
c_0_331 ).
fof(c_0_548,plain,
lhs_atom176,
c_0_332 ).
fof(c_0_549,plain,
lhs_atom175,
c_0_333 ).
fof(c_0_550,plain,
lhs_atom174,
c_0_334 ).
fof(c_0_551,plain,
lhs_atom173,
c_0_335 ).
fof(c_0_552,plain,
lhs_atom172,
c_0_336 ).
fof(c_0_553,plain,
lhs_atom171,
c_0_337 ).
fof(c_0_554,plain,
lhs_atom170,
c_0_338 ).
fof(c_0_555,plain,
lhs_atom169,
c_0_339 ).
fof(c_0_556,plain,
lhs_atom168,
c_0_340 ).
fof(c_0_557,plain,
lhs_atom167,
c_0_341 ).
fof(c_0_558,plain,
lhs_atom166,
c_0_342 ).
fof(c_0_559,plain,
lhs_atom165,
c_0_343 ).
fof(c_0_560,plain,
lhs_atom164,
c_0_344 ).
fof(c_0_561,plain,
lhs_atom163,
c_0_345 ).
fof(c_0_562,plain,
lhs_atom162,
c_0_346 ).
fof(c_0_563,plain,
lhs_atom161,
c_0_347 ).
fof(c_0_564,plain,
lhs_atom160,
c_0_348 ).
fof(c_0_565,plain,
lhs_atom159,
c_0_349 ).
fof(c_0_566,plain,
lhs_atom157,
c_0_350 ).
fof(c_0_567,plain,
lhs_atom156,
c_0_351 ).
fof(c_0_568,plain,
lhs_atom155,
c_0_352 ).
fof(c_0_569,plain,
lhs_atom154,
c_0_353 ).
fof(c_0_570,plain,
lhs_atom153,
c_0_354 ).
fof(c_0_571,plain,
lhs_atom152,
c_0_355 ).
fof(c_0_572,plain,
lhs_atom151,
c_0_356 ).
fof(c_0_573,plain,
lhs_atom150,
c_0_357 ).
fof(c_0_574,plain,
lhs_atom149,
c_0_358 ).
fof(c_0_575,plain,
lhs_atom148,
c_0_359 ).
fof(c_0_576,plain,
lhs_atom147,
c_0_360 ).
fof(c_0_577,plain,
lhs_atom146,
c_0_361 ).
fof(c_0_578,plain,
lhs_atom145,
c_0_362 ).
fof(c_0_579,plain,
lhs_atom144,
c_0_363 ).
fof(c_0_580,plain,
lhs_atom143,
c_0_364 ).
fof(c_0_581,plain,
lhs_atom142,
c_0_365 ).
fof(c_0_582,plain,
lhs_atom141,
c_0_366 ).
fof(c_0_583,plain,
lhs_atom140,
c_0_367 ).
fof(c_0_584,plain,
lhs_atom139,
c_0_368 ).
fof(c_0_585,plain,
lhs_atom138,
c_0_369 ).
fof(c_0_586,plain,
lhs_atom137,
c_0_370 ).
fof(c_0_587,plain,
lhs_atom136,
c_0_371 ).
fof(c_0_588,plain,
lhs_atom135,
c_0_372 ).
fof(c_0_589,plain,
lhs_atom134,
c_0_373 ).
fof(c_0_590,plain,
lhs_atom133,
c_0_374 ).
fof(c_0_591,plain,
lhs_atom132,
c_0_375 ).
fof(c_0_592,plain,
lhs_atom131,
c_0_376 ).
fof(c_0_593,plain,
lhs_atom130,
c_0_377 ).
fof(c_0_594,plain,
lhs_atom129,
c_0_378 ).
fof(c_0_595,plain,
lhs_atom128,
c_0_379 ).
fof(c_0_596,plain,
lhs_atom127,
c_0_380 ).
fof(c_0_597,plain,
lhs_atom126,
c_0_381 ).
fof(c_0_598,plain,
lhs_atom125,
c_0_382 ).
fof(c_0_599,plain,
lhs_atom124,
c_0_383 ).
fof(c_0_600,plain,
lhs_atom123,
c_0_384 ).
fof(c_0_601,plain,
lhs_atom122,
c_0_385 ).
fof(c_0_602,plain,
lhs_atom121,
c_0_386 ).
fof(c_0_603,plain,
lhs_atom120,
c_0_387 ).
fof(c_0_604,plain,
lhs_atom119,
c_0_388 ).
fof(c_0_605,plain,
lhs_atom118,
c_0_389 ).
fof(c_0_606,plain,
lhs_atom117,
c_0_390 ).
fof(c_0_607,plain,
lhs_atom116,
c_0_391 ).
fof(c_0_608,plain,
lhs_atom115,
c_0_392 ).
fof(c_0_609,plain,
lhs_atom114,
c_0_393 ).
fof(c_0_610,plain,
lhs_atom113,
c_0_394 ).
fof(c_0_611,plain,
lhs_atom112,
c_0_395 ).
fof(c_0_612,plain,
lhs_atom111,
c_0_396 ).
fof(c_0_613,plain,
lhs_atom110,
c_0_397 ).
fof(c_0_614,plain,
lhs_atom109,
c_0_398 ).
fof(c_0_615,plain,
lhs_atom108,
c_0_399 ).
fof(c_0_616,plain,
lhs_atom107,
c_0_400 ).
fof(c_0_617,plain,
lhs_atom106,
c_0_401 ).
fof(c_0_618,plain,
lhs_atom105,
c_0_402 ).
fof(c_0_619,plain,
lhs_atom104,
c_0_403 ).
fof(c_0_620,plain,
lhs_atom103,
c_0_404 ).
fof(c_0_621,plain,
lhs_atom102,
c_0_405 ).
fof(c_0_622,plain,
lhs_atom101,
c_0_406 ).
fof(c_0_623,plain,
lhs_atom100,
c_0_407 ).
fof(c_0_624,plain,
lhs_atom99,
c_0_408 ).
fof(c_0_625,plain,
lhs_atom98,
c_0_409 ).
fof(c_0_626,plain,
lhs_atom97,
c_0_410 ).
fof(c_0_627,plain,
lhs_atom96,
c_0_411 ).
fof(c_0_628,plain,
lhs_atom95,
c_0_412 ).
fof(c_0_629,plain,
lhs_atom94,
c_0_413 ).
fof(c_0_630,plain,
lhs_atom93,
c_0_414 ).
fof(c_0_631,plain,
lhs_atom92,
c_0_415 ).
fof(c_0_632,plain,
lhs_atom91,
c_0_416 ).
fof(c_0_633,plain,
lhs_atom90,
c_0_417 ).
fof(c_0_634,plain,
lhs_atom89,
c_0_418 ).
fof(c_0_635,plain,
lhs_atom45,
c_0_419 ).
fof(c_0_636,plain,
lhs_atom43,
c_0_420 ).
fof(c_0_637,plain,
lhs_atom42,
c_0_421 ).
fof(c_0_638,plain,
lhs_atom38,
c_0_422 ).
fof(c_0_639,plain,
lhs_atom37,
c_0_423 ).
fof(c_0_640,plain,
lhs_atom36,
c_0_424 ).
fof(c_0_641,plain,
lhs_atom35,
c_0_425 ).
fof(c_0_642,plain,
lhs_atom34,
c_0_426 ).
fof(c_0_643,plain,
lhs_atom19,
c_0_427 ).
fof(c_0_644,plain,
lhs_atom18,
c_0_428 ).
fof(c_0_645,plain,
lhs_atom17,
c_0_429 ).
fof(c_0_646,plain,
lhs_atom16,
c_0_430 ).
fof(c_0_647,plain,
lhs_atom14,
c_0_431 ).
cnf(c_0_648,plain,
lhs_atom13(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_432]) ).
cnf(c_0_649,plain,
lhs_atom12(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_433]) ).
cnf(c_0_650,plain,
lhs_atom11(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_434]) ).
cnf(c_0_651,plain,
lhs_atom10(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_435]) ).
cnf(c_0_652,plain,
lhs_atom8(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_436]) ).
cnf(c_0_653,plain,
lhs_atom4(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_437]) ).
cnf(c_0_654,plain,
lhs_atom51(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_438]) ).
cnf(c_0_655,plain,
lhs_atom50(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_439]) ).
cnf(c_0_656,plain,
lhs_atom9(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_440]) ).
cnf(c_0_657,plain,
lhs_atom7(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_441]) ).
cnf(c_0_658,plain,
lhs_atom6(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_442]) ).
cnf(c_0_659,plain,
lhs_atom5(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_443]) ).
cnf(c_0_660,plain,
lhs_atom87(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_444]) ).
cnf(c_0_661,plain,
lhs_atom48(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_445]) ).
cnf(c_0_662,plain,
lhs_atom30(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_446]) ).
cnf(c_0_663,plain,
lhs_atom29(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_447]) ).
cnf(c_0_664,plain,
lhs_atom28(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_448]) ).
cnf(c_0_665,plain,
lhs_atom23(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_449]) ).
cnf(c_0_666,plain,
lhs_atom20(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_450]) ).
cnf(c_0_667,plain,
lhs_atom158(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_451]) ).
cnf(c_0_668,plain,
lhs_atom86(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_452]) ).
cnf(c_0_669,plain,
lhs_atom85(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_670,plain,
lhs_atom84(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_454]) ).
cnf(c_0_671,plain,
lhs_atom83(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_672,plain,
lhs_atom81(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_456]) ).
cnf(c_0_673,plain,
lhs_atom80(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_674,plain,
lhs_atom79(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_458]) ).
cnf(c_0_675,plain,
lhs_atom78(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_459]) ).
cnf(c_0_676,plain,
lhs_atom76(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_460]) ).
cnf(c_0_677,plain,
lhs_atom75(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_461]) ).
cnf(c_0_678,plain,
lhs_atom74(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_462]) ).
cnf(c_0_679,plain,
lhs_atom73(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_463]) ).
cnf(c_0_680,plain,
lhs_atom68(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_464]) ).
cnf(c_0_681,plain,
lhs_atom67(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_465]) ).
cnf(c_0_682,plain,
lhs_atom66(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_466]) ).
cnf(c_0_683,plain,
lhs_atom65(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_467]) ).
cnf(c_0_684,plain,
lhs_atom64(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_468]) ).
cnf(c_0_685,plain,
lhs_atom63(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_469]) ).
cnf(c_0_686,plain,
lhs_atom60(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_470]) ).
cnf(c_0_687,plain,
lhs_atom59(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_688,plain,
lhs_atom58(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_472]) ).
cnf(c_0_689,plain,
lhs_atom57(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_473]) ).
cnf(c_0_690,plain,
lhs_atom55(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_474]) ).
cnf(c_0_691,plain,
lhs_atom54(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_475]) ).
cnf(c_0_692,plain,
lhs_atom49(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_476]) ).
cnf(c_0_693,plain,
lhs_atom47(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_477]) ).
cnf(c_0_694,plain,
lhs_atom44(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_478]) ).
cnf(c_0_695,plain,
lhs_atom40(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_479]) ).
cnf(c_0_696,plain,
lhs_atom39(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_480]) ).
cnf(c_0_697,plain,
lhs_atom25(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_481]) ).
cnf(c_0_698,plain,
lhs_atom24(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_482]) ).
cnf(c_0_699,plain,
lhs_atom25(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_483]) ).
cnf(c_0_700,plain,
lhs_atom24(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_484]) ).
cnf(c_0_701,plain,
lhs_atom15(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_485]) ).
cnf(c_0_702,plain,
lhs_atom15(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_486]) ).
cnf(c_0_703,plain,
lhs_atom3(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_487]) ).
cnf(c_0_704,plain,
lhs_atom2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_488]) ).
cnf(c_0_705,plain,
lhs_atom1(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_489]) ).
cnf(c_0_706,plain,
lhs_atom210(X1),
inference(split_conjunct,[status(thm)],[c_0_490]) ).
cnf(c_0_707,plain,
lhs_atom209(X1),
inference(split_conjunct,[status(thm)],[c_0_491]) ).
cnf(c_0_708,plain,
lhs_atom208(X1),
inference(split_conjunct,[status(thm)],[c_0_492]) ).
cnf(c_0_709,plain,
lhs_atom207(X1),
inference(split_conjunct,[status(thm)],[c_0_493]) ).
cnf(c_0_710,plain,
lhs_atom88(X1),
inference(split_conjunct,[status(thm)],[c_0_494]) ).
cnf(c_0_711,plain,
lhs_atom82(X1),
inference(split_conjunct,[status(thm)],[c_0_495]) ).
cnf(c_0_712,plain,
lhs_atom77(X1),
inference(split_conjunct,[status(thm)],[c_0_496]) ).
cnf(c_0_713,plain,
lhs_atom72(X1),
inference(split_conjunct,[status(thm)],[c_0_497]) ).
cnf(c_0_714,plain,
lhs_atom71(X1),
inference(split_conjunct,[status(thm)],[c_0_498]) ).
cnf(c_0_715,plain,
lhs_atom70(X1),
inference(split_conjunct,[status(thm)],[c_0_499]) ).
cnf(c_0_716,plain,
lhs_atom69(X1),
inference(split_conjunct,[status(thm)],[c_0_500]) ).
cnf(c_0_717,plain,
lhs_atom62(X1),
inference(split_conjunct,[status(thm)],[c_0_501]) ).
cnf(c_0_718,plain,
lhs_atom61(X1),
inference(split_conjunct,[status(thm)],[c_0_502]) ).
cnf(c_0_719,plain,
lhs_atom56(X1),
inference(split_conjunct,[status(thm)],[c_0_503]) ).
cnf(c_0_720,plain,
lhs_atom53(X1),
inference(split_conjunct,[status(thm)],[c_0_504]) ).
cnf(c_0_721,plain,
lhs_atom52(X1),
inference(split_conjunct,[status(thm)],[c_0_505]) ).
cnf(c_0_722,plain,
lhs_atom46(X1),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_723,plain,
lhs_atom41(X1),
inference(split_conjunct,[status(thm)],[c_0_507]) ).
cnf(c_0_724,plain,
lhs_atom33(X1),
inference(split_conjunct,[status(thm)],[c_0_508]) ).
cnf(c_0_725,plain,
lhs_atom32(X1),
inference(split_conjunct,[status(thm)],[c_0_509]) ).
cnf(c_0_726,plain,
lhs_atom31(X1),
inference(split_conjunct,[status(thm)],[c_0_510]) ).
cnf(c_0_727,plain,
lhs_atom31(X1),
inference(split_conjunct,[status(thm)],[c_0_511]) ).
cnf(c_0_728,plain,
lhs_atom22(X1),
inference(split_conjunct,[status(thm)],[c_0_512]) ).
cnf(c_0_729,plain,
lhs_atom27(X1),
inference(split_conjunct,[status(thm)],[c_0_513]) ).
cnf(c_0_730,plain,
lhs_atom26(X1),
inference(split_conjunct,[status(thm)],[c_0_514]) ).
cnf(c_0_731,plain,
lhs_atom21(X1),
inference(split_conjunct,[status(thm)],[c_0_515]) ).
cnf(c_0_732,plain,
lhs_atom22(X1),
inference(split_conjunct,[status(thm)],[c_0_516]) ).
cnf(c_0_733,plain,
lhs_atom21(X1),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_734,plain,
lhs_atom206,
inference(split_conjunct,[status(thm)],[c_0_518]) ).
cnf(c_0_735,plain,
lhs_atom205,
inference(split_conjunct,[status(thm)],[c_0_519]) ).
cnf(c_0_736,plain,
lhs_atom204,
inference(split_conjunct,[status(thm)],[c_0_520]) ).
cnf(c_0_737,plain,
lhs_atom203,
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_738,plain,
lhs_atom202,
inference(split_conjunct,[status(thm)],[c_0_522]) ).
cnf(c_0_739,plain,
lhs_atom201,
inference(split_conjunct,[status(thm)],[c_0_523]) ).
cnf(c_0_740,plain,
lhs_atom200,
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_741,plain,
lhs_atom199,
inference(split_conjunct,[status(thm)],[c_0_525]) ).
cnf(c_0_742,plain,
lhs_atom198,
inference(split_conjunct,[status(thm)],[c_0_526]) ).
cnf(c_0_743,plain,
lhs_atom197,
inference(split_conjunct,[status(thm)],[c_0_527]) ).
cnf(c_0_744,plain,
lhs_atom196,
inference(split_conjunct,[status(thm)],[c_0_528]) ).
cnf(c_0_745,plain,
lhs_atom195,
inference(split_conjunct,[status(thm)],[c_0_529]) ).
cnf(c_0_746,plain,
lhs_atom194,
inference(split_conjunct,[status(thm)],[c_0_530]) ).
cnf(c_0_747,plain,
lhs_atom193,
inference(split_conjunct,[status(thm)],[c_0_531]) ).
cnf(c_0_748,plain,
lhs_atom192,
inference(split_conjunct,[status(thm)],[c_0_532]) ).
cnf(c_0_749,plain,
lhs_atom191,
inference(split_conjunct,[status(thm)],[c_0_533]) ).
cnf(c_0_750,plain,
lhs_atom190,
inference(split_conjunct,[status(thm)],[c_0_534]) ).
cnf(c_0_751,plain,
lhs_atom189,
inference(split_conjunct,[status(thm)],[c_0_535]) ).
cnf(c_0_752,plain,
lhs_atom188,
inference(split_conjunct,[status(thm)],[c_0_536]) ).
cnf(c_0_753,plain,
lhs_atom187,
inference(split_conjunct,[status(thm)],[c_0_537]) ).
cnf(c_0_754,plain,
lhs_atom186,
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_755,plain,
lhs_atom185,
inference(split_conjunct,[status(thm)],[c_0_539]) ).
cnf(c_0_756,plain,
lhs_atom184,
inference(split_conjunct,[status(thm)],[c_0_540]) ).
cnf(c_0_757,plain,
lhs_atom183,
inference(split_conjunct,[status(thm)],[c_0_541]) ).
cnf(c_0_758,plain,
lhs_atom182,
inference(split_conjunct,[status(thm)],[c_0_542]) ).
cnf(c_0_759,plain,
lhs_atom181,
inference(split_conjunct,[status(thm)],[c_0_543]) ).
cnf(c_0_760,plain,
lhs_atom180,
inference(split_conjunct,[status(thm)],[c_0_544]) ).
cnf(c_0_761,plain,
lhs_atom179,
inference(split_conjunct,[status(thm)],[c_0_545]) ).
cnf(c_0_762,plain,
lhs_atom178,
inference(split_conjunct,[status(thm)],[c_0_546]) ).
cnf(c_0_763,plain,
lhs_atom177,
inference(split_conjunct,[status(thm)],[c_0_547]) ).
cnf(c_0_764,plain,
lhs_atom176,
inference(split_conjunct,[status(thm)],[c_0_548]) ).
cnf(c_0_765,plain,
lhs_atom175,
inference(split_conjunct,[status(thm)],[c_0_549]) ).
cnf(c_0_766,plain,
lhs_atom174,
inference(split_conjunct,[status(thm)],[c_0_550]) ).
cnf(c_0_767,plain,
lhs_atom173,
inference(split_conjunct,[status(thm)],[c_0_551]) ).
cnf(c_0_768,plain,
lhs_atom172,
inference(split_conjunct,[status(thm)],[c_0_552]) ).
cnf(c_0_769,plain,
lhs_atom171,
inference(split_conjunct,[status(thm)],[c_0_553]) ).
cnf(c_0_770,plain,
lhs_atom170,
inference(split_conjunct,[status(thm)],[c_0_554]) ).
cnf(c_0_771,plain,
lhs_atom169,
inference(split_conjunct,[status(thm)],[c_0_555]) ).
cnf(c_0_772,plain,
lhs_atom168,
inference(split_conjunct,[status(thm)],[c_0_556]) ).
cnf(c_0_773,plain,
lhs_atom167,
inference(split_conjunct,[status(thm)],[c_0_557]) ).
cnf(c_0_774,plain,
lhs_atom166,
inference(split_conjunct,[status(thm)],[c_0_558]) ).
cnf(c_0_775,plain,
lhs_atom165,
inference(split_conjunct,[status(thm)],[c_0_559]) ).
cnf(c_0_776,plain,
lhs_atom164,
inference(split_conjunct,[status(thm)],[c_0_560]) ).
cnf(c_0_777,plain,
lhs_atom163,
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_778,plain,
lhs_atom162,
inference(split_conjunct,[status(thm)],[c_0_562]) ).
cnf(c_0_779,plain,
lhs_atom161,
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_780,plain,
lhs_atom160,
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_781,plain,
lhs_atom159,
inference(split_conjunct,[status(thm)],[c_0_565]) ).
cnf(c_0_782,plain,
lhs_atom157,
inference(split_conjunct,[status(thm)],[c_0_566]) ).
cnf(c_0_783,plain,
lhs_atom156,
inference(split_conjunct,[status(thm)],[c_0_567]) ).
cnf(c_0_784,plain,
lhs_atom155,
inference(split_conjunct,[status(thm)],[c_0_568]) ).
cnf(c_0_785,plain,
lhs_atom154,
inference(split_conjunct,[status(thm)],[c_0_569]) ).
cnf(c_0_786,plain,
lhs_atom153,
inference(split_conjunct,[status(thm)],[c_0_570]) ).
cnf(c_0_787,plain,
lhs_atom152,
inference(split_conjunct,[status(thm)],[c_0_571]) ).
cnf(c_0_788,plain,
lhs_atom151,
inference(split_conjunct,[status(thm)],[c_0_572]) ).
cnf(c_0_789,plain,
lhs_atom150,
inference(split_conjunct,[status(thm)],[c_0_573]) ).
cnf(c_0_790,plain,
lhs_atom149,
inference(split_conjunct,[status(thm)],[c_0_574]) ).
cnf(c_0_791,plain,
lhs_atom148,
inference(split_conjunct,[status(thm)],[c_0_575]) ).
cnf(c_0_792,plain,
lhs_atom147,
inference(split_conjunct,[status(thm)],[c_0_576]) ).
cnf(c_0_793,plain,
lhs_atom146,
inference(split_conjunct,[status(thm)],[c_0_577]) ).
cnf(c_0_794,plain,
lhs_atom145,
inference(split_conjunct,[status(thm)],[c_0_578]) ).
cnf(c_0_795,plain,
lhs_atom144,
inference(split_conjunct,[status(thm)],[c_0_579]) ).
cnf(c_0_796,plain,
lhs_atom143,
inference(split_conjunct,[status(thm)],[c_0_580]) ).
cnf(c_0_797,plain,
lhs_atom142,
inference(split_conjunct,[status(thm)],[c_0_581]) ).
cnf(c_0_798,plain,
lhs_atom141,
inference(split_conjunct,[status(thm)],[c_0_582]) ).
cnf(c_0_799,plain,
lhs_atom140,
inference(split_conjunct,[status(thm)],[c_0_583]) ).
cnf(c_0_800,plain,
lhs_atom139,
inference(split_conjunct,[status(thm)],[c_0_584]) ).
cnf(c_0_801,plain,
lhs_atom138,
inference(split_conjunct,[status(thm)],[c_0_585]) ).
cnf(c_0_802,plain,
lhs_atom137,
inference(split_conjunct,[status(thm)],[c_0_586]) ).
cnf(c_0_803,plain,
lhs_atom136,
inference(split_conjunct,[status(thm)],[c_0_587]) ).
cnf(c_0_804,plain,
lhs_atom135,
inference(split_conjunct,[status(thm)],[c_0_588]) ).
cnf(c_0_805,plain,
lhs_atom134,
inference(split_conjunct,[status(thm)],[c_0_589]) ).
cnf(c_0_806,plain,
lhs_atom133,
inference(split_conjunct,[status(thm)],[c_0_590]) ).
cnf(c_0_807,plain,
lhs_atom132,
inference(split_conjunct,[status(thm)],[c_0_591]) ).
cnf(c_0_808,plain,
lhs_atom131,
inference(split_conjunct,[status(thm)],[c_0_592]) ).
cnf(c_0_809,plain,
lhs_atom130,
inference(split_conjunct,[status(thm)],[c_0_593]) ).
cnf(c_0_810,plain,
lhs_atom129,
inference(split_conjunct,[status(thm)],[c_0_594]) ).
cnf(c_0_811,plain,
lhs_atom128,
inference(split_conjunct,[status(thm)],[c_0_595]) ).
cnf(c_0_812,plain,
lhs_atom127,
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_813,plain,
lhs_atom126,
inference(split_conjunct,[status(thm)],[c_0_597]) ).
cnf(c_0_814,plain,
lhs_atom125,
inference(split_conjunct,[status(thm)],[c_0_598]) ).
cnf(c_0_815,plain,
lhs_atom124,
inference(split_conjunct,[status(thm)],[c_0_599]) ).
cnf(c_0_816,plain,
lhs_atom123,
inference(split_conjunct,[status(thm)],[c_0_600]) ).
cnf(c_0_817,plain,
lhs_atom122,
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_818,plain,
lhs_atom121,
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_819,plain,
lhs_atom120,
inference(split_conjunct,[status(thm)],[c_0_603]) ).
cnf(c_0_820,plain,
lhs_atom119,
inference(split_conjunct,[status(thm)],[c_0_604]) ).
cnf(c_0_821,plain,
lhs_atom118,
inference(split_conjunct,[status(thm)],[c_0_605]) ).
cnf(c_0_822,plain,
lhs_atom117,
inference(split_conjunct,[status(thm)],[c_0_606]) ).
cnf(c_0_823,plain,
lhs_atom116,
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_824,plain,
lhs_atom115,
inference(split_conjunct,[status(thm)],[c_0_608]) ).
cnf(c_0_825,plain,
lhs_atom114,
inference(split_conjunct,[status(thm)],[c_0_609]) ).
cnf(c_0_826,plain,
lhs_atom113,
inference(split_conjunct,[status(thm)],[c_0_610]) ).
cnf(c_0_827,plain,
lhs_atom112,
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_828,plain,
lhs_atom111,
inference(split_conjunct,[status(thm)],[c_0_612]) ).
cnf(c_0_829,plain,
lhs_atom110,
inference(split_conjunct,[status(thm)],[c_0_613]) ).
cnf(c_0_830,plain,
lhs_atom109,
inference(split_conjunct,[status(thm)],[c_0_614]) ).
cnf(c_0_831,plain,
lhs_atom108,
inference(split_conjunct,[status(thm)],[c_0_615]) ).
cnf(c_0_832,plain,
lhs_atom107,
inference(split_conjunct,[status(thm)],[c_0_616]) ).
cnf(c_0_833,plain,
lhs_atom106,
inference(split_conjunct,[status(thm)],[c_0_617]) ).
cnf(c_0_834,plain,
lhs_atom105,
inference(split_conjunct,[status(thm)],[c_0_618]) ).
cnf(c_0_835,plain,
lhs_atom104,
inference(split_conjunct,[status(thm)],[c_0_619]) ).
cnf(c_0_836,plain,
lhs_atom103,
inference(split_conjunct,[status(thm)],[c_0_620]) ).
cnf(c_0_837,plain,
lhs_atom102,
inference(split_conjunct,[status(thm)],[c_0_621]) ).
cnf(c_0_838,plain,
lhs_atom101,
inference(split_conjunct,[status(thm)],[c_0_622]) ).
cnf(c_0_839,plain,
lhs_atom100,
inference(split_conjunct,[status(thm)],[c_0_623]) ).
cnf(c_0_840,plain,
lhs_atom99,
inference(split_conjunct,[status(thm)],[c_0_624]) ).
cnf(c_0_841,plain,
lhs_atom98,
inference(split_conjunct,[status(thm)],[c_0_625]) ).
cnf(c_0_842,plain,
lhs_atom97,
inference(split_conjunct,[status(thm)],[c_0_626]) ).
cnf(c_0_843,plain,
lhs_atom96,
inference(split_conjunct,[status(thm)],[c_0_627]) ).
cnf(c_0_844,plain,
lhs_atom95,
inference(split_conjunct,[status(thm)],[c_0_628]) ).
cnf(c_0_845,plain,
lhs_atom94,
inference(split_conjunct,[status(thm)],[c_0_629]) ).
cnf(c_0_846,plain,
lhs_atom93,
inference(split_conjunct,[status(thm)],[c_0_630]) ).
cnf(c_0_847,plain,
lhs_atom92,
inference(split_conjunct,[status(thm)],[c_0_631]) ).
cnf(c_0_848,plain,
lhs_atom91,
inference(split_conjunct,[status(thm)],[c_0_632]) ).
cnf(c_0_849,plain,
lhs_atom90,
inference(split_conjunct,[status(thm)],[c_0_633]) ).
cnf(c_0_850,plain,
lhs_atom89,
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_851,plain,
lhs_atom45,
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_852,plain,
lhs_atom43,
inference(split_conjunct,[status(thm)],[c_0_636]) ).
cnf(c_0_853,plain,
lhs_atom42,
inference(split_conjunct,[status(thm)],[c_0_637]) ).
cnf(c_0_854,plain,
lhs_atom38,
inference(split_conjunct,[status(thm)],[c_0_638]) ).
cnf(c_0_855,plain,
lhs_atom37,
inference(split_conjunct,[status(thm)],[c_0_639]) ).
cnf(c_0_856,plain,
lhs_atom36,
inference(split_conjunct,[status(thm)],[c_0_640]) ).
cnf(c_0_857,plain,
lhs_atom35,
inference(split_conjunct,[status(thm)],[c_0_641]) ).
cnf(c_0_858,plain,
lhs_atom34,
inference(split_conjunct,[status(thm)],[c_0_642]) ).
cnf(c_0_859,plain,
lhs_atom19,
inference(split_conjunct,[status(thm)],[c_0_643]) ).
cnf(c_0_860,plain,
lhs_atom18,
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_861,plain,
lhs_atom17,
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_862,plain,
lhs_atom16,
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_863,plain,
lhs_atom14,
inference(split_conjunct,[status(thm)],[c_0_647]) ).
cnf(c_0_864,plain,
lhs_atom13(X1,X2,X3,X4,X5),
c_0_648,
[final] ).
cnf(c_0_865,plain,
lhs_atom12(X1,X2,X3,X4,X5),
c_0_649,
[final] ).
cnf(c_0_866,plain,
lhs_atom11(X1,X2,X3,X4,X5),
c_0_650,
[final] ).
cnf(c_0_867,plain,
lhs_atom10(X1,X2,X3,X4,X5),
c_0_651,
[final] ).
cnf(c_0_868,plain,
lhs_atom8(X1,X2,X3,X4,X5),
c_0_652,
[final] ).
cnf(c_0_869,plain,
lhs_atom4(X1,X2,X3,X4,X5),
c_0_653,
[final] ).
cnf(c_0_870,plain,
lhs_atom51(X1,X2,X3,X4),
c_0_654,
[final] ).
cnf(c_0_871,plain,
lhs_atom50(X1,X2,X3,X4),
c_0_655,
[final] ).
cnf(c_0_872,plain,
lhs_atom9(X1,X2,X3,X4),
c_0_656,
[final] ).
cnf(c_0_873,plain,
lhs_atom7(X1,X2,X3,X4),
c_0_657,
[final] ).
cnf(c_0_874,plain,
lhs_atom6(X1,X2,X3,X4),
c_0_658,
[final] ).
cnf(c_0_875,plain,
lhs_atom5(X1,X2,X3,X4),
c_0_659,
[final] ).
cnf(c_0_876,plain,
lhs_atom87(X1,X2,X3),
c_0_660,
[final] ).
cnf(c_0_877,plain,
lhs_atom48(X1,X2,X3),
c_0_661,
[final] ).
cnf(c_0_878,plain,
lhs_atom30(X1,X2,X3),
c_0_662,
[final] ).
cnf(c_0_879,plain,
lhs_atom29(X1,X2,X3),
c_0_663,
[final] ).
cnf(c_0_880,plain,
lhs_atom28(X1,X2,X3),
c_0_664,
[final] ).
cnf(c_0_881,plain,
lhs_atom23(X1,X2,X3),
c_0_665,
[final] ).
cnf(c_0_882,plain,
lhs_atom20(X1,X2,X3),
c_0_666,
[final] ).
cnf(c_0_883,plain,
lhs_atom158(X1,X2),
c_0_667,
[final] ).
cnf(c_0_884,plain,
lhs_atom86(X1,X2),
c_0_668,
[final] ).
cnf(c_0_885,plain,
lhs_atom85(X1,X2),
c_0_669,
[final] ).
cnf(c_0_886,plain,
lhs_atom84(X1,X2),
c_0_670,
[final] ).
cnf(c_0_887,plain,
lhs_atom83(X1,X2),
c_0_671,
[final] ).
cnf(c_0_888,plain,
lhs_atom81(X1,X2),
c_0_672,
[final] ).
cnf(c_0_889,plain,
lhs_atom80(X1,X2),
c_0_673,
[final] ).
cnf(c_0_890,plain,
lhs_atom79(X1,X2),
c_0_674,
[final] ).
cnf(c_0_891,plain,
lhs_atom78(X1,X2),
c_0_675,
[final] ).
cnf(c_0_892,plain,
lhs_atom76(X1,X2),
c_0_676,
[final] ).
cnf(c_0_893,plain,
lhs_atom75(X1,X2),
c_0_677,
[final] ).
cnf(c_0_894,plain,
lhs_atom74(X1,X2),
c_0_678,
[final] ).
cnf(c_0_895,plain,
lhs_atom73(X1,X2),
c_0_679,
[final] ).
cnf(c_0_896,plain,
lhs_atom68(X1,X2),
c_0_680,
[final] ).
cnf(c_0_897,plain,
lhs_atom67(X1,X2),
c_0_681,
[final] ).
cnf(c_0_898,plain,
lhs_atom66(X1,X2),
c_0_682,
[final] ).
cnf(c_0_899,plain,
lhs_atom65(X1,X2),
c_0_683,
[final] ).
cnf(c_0_900,plain,
lhs_atom64(X1,X2),
c_0_684,
[final] ).
cnf(c_0_901,plain,
lhs_atom63(X1,X2),
c_0_685,
[final] ).
cnf(c_0_902,plain,
lhs_atom60(X1,X2),
c_0_686,
[final] ).
cnf(c_0_903,plain,
lhs_atom59(X1,X2),
c_0_687,
[final] ).
cnf(c_0_904,plain,
lhs_atom58(X1,X2),
c_0_688,
[final] ).
cnf(c_0_905,plain,
lhs_atom57(X1,X2),
c_0_689,
[final] ).
cnf(c_0_906,plain,
lhs_atom55(X1,X2),
c_0_690,
[final] ).
cnf(c_0_907,plain,
lhs_atom54(X1,X2),
c_0_691,
[final] ).
cnf(c_0_908,plain,
lhs_atom49(X1,X2),
c_0_692,
[final] ).
cnf(c_0_909,plain,
lhs_atom47(X1,X2),
c_0_693,
[final] ).
cnf(c_0_910,plain,
lhs_atom44(X1,X2),
c_0_694,
[final] ).
cnf(c_0_911,plain,
lhs_atom40(X1,X2),
c_0_695,
[final] ).
cnf(c_0_912,plain,
lhs_atom39(X1,X2),
c_0_696,
[final] ).
cnf(c_0_913,plain,
lhs_atom25(X1,X2),
c_0_697,
[final] ).
cnf(c_0_914,plain,
lhs_atom24(X1,X2),
c_0_698,
[final] ).
cnf(c_0_915,plain,
lhs_atom25(X1,X2),
c_0_699,
[final] ).
cnf(c_0_916,plain,
lhs_atom24(X1,X2),
c_0_700,
[final] ).
cnf(c_0_917,plain,
lhs_atom15(X1,X2),
c_0_701,
[final] ).
cnf(c_0_918,plain,
lhs_atom15(X1,X2),
c_0_702,
[final] ).
cnf(c_0_919,plain,
lhs_atom3(X1,X2),
c_0_703,
[final] ).
cnf(c_0_920,plain,
lhs_atom2(X1,X2),
c_0_704,
[final] ).
cnf(c_0_921,plain,
lhs_atom1(X1,X2),
c_0_705,
[final] ).
cnf(c_0_922,plain,
lhs_atom210(X1),
c_0_706,
[final] ).
cnf(c_0_923,plain,
lhs_atom209(X1),
c_0_707,
[final] ).
cnf(c_0_924,plain,
lhs_atom208(X1),
c_0_708,
[final] ).
cnf(c_0_925,plain,
lhs_atom207(X1),
c_0_709,
[final] ).
cnf(c_0_926,plain,
lhs_atom88(X1),
c_0_710,
[final] ).
cnf(c_0_927,plain,
lhs_atom82(X1),
c_0_711,
[final] ).
cnf(c_0_928,plain,
lhs_atom77(X1),
c_0_712,
[final] ).
cnf(c_0_929,plain,
lhs_atom72(X1),
c_0_713,
[final] ).
cnf(c_0_930,plain,
lhs_atom71(X1),
c_0_714,
[final] ).
cnf(c_0_931,plain,
lhs_atom70(X1),
c_0_715,
[final] ).
cnf(c_0_932,plain,
lhs_atom69(X1),
c_0_716,
[final] ).
cnf(c_0_933,plain,
lhs_atom62(X1),
c_0_717,
[final] ).
cnf(c_0_934,plain,
lhs_atom61(X1),
c_0_718,
[final] ).
cnf(c_0_935,plain,
lhs_atom56(X1),
c_0_719,
[final] ).
cnf(c_0_936,plain,
lhs_atom53(X1),
c_0_720,
[final] ).
cnf(c_0_937,plain,
lhs_atom52(X1),
c_0_721,
[final] ).
cnf(c_0_938,plain,
lhs_atom46(X1),
c_0_722,
[final] ).
cnf(c_0_939,plain,
lhs_atom41(X1),
c_0_723,
[final] ).
cnf(c_0_940,plain,
lhs_atom33(X1),
c_0_724,
[final] ).
cnf(c_0_941,plain,
lhs_atom32(X1),
c_0_725,
[final] ).
cnf(c_0_942,plain,
lhs_atom31(X1),
c_0_726,
[final] ).
cnf(c_0_943,plain,
lhs_atom31(X1),
c_0_727,
[final] ).
cnf(c_0_944,plain,
lhs_atom22(X1),
c_0_728,
[final] ).
cnf(c_0_945,plain,
lhs_atom27(X1),
c_0_729,
[final] ).
cnf(c_0_946,plain,
lhs_atom26(X1),
c_0_730,
[final] ).
cnf(c_0_947,plain,
lhs_atom21(X1),
c_0_731,
[final] ).
cnf(c_0_948,plain,
lhs_atom22(X1),
c_0_732,
[final] ).
cnf(c_0_949,plain,
lhs_atom21(X1),
c_0_733,
[final] ).
cnf(c_0_950,plain,
lhs_atom206,
c_0_734,
[final] ).
cnf(c_0_951,plain,
lhs_atom205,
c_0_735,
[final] ).
cnf(c_0_952,plain,
lhs_atom204,
c_0_736,
[final] ).
cnf(c_0_953,plain,
lhs_atom203,
c_0_737,
[final] ).
cnf(c_0_954,plain,
lhs_atom202,
c_0_738,
[final] ).
cnf(c_0_955,plain,
lhs_atom201,
c_0_739,
[final] ).
cnf(c_0_956,plain,
lhs_atom200,
c_0_740,
[final] ).
cnf(c_0_957,plain,
lhs_atom199,
c_0_741,
[final] ).
cnf(c_0_958,plain,
lhs_atom198,
c_0_742,
[final] ).
cnf(c_0_959,plain,
lhs_atom197,
c_0_743,
[final] ).
cnf(c_0_960,plain,
lhs_atom196,
c_0_744,
[final] ).
cnf(c_0_961,plain,
lhs_atom195,
c_0_745,
[final] ).
cnf(c_0_962,plain,
lhs_atom194,
c_0_746,
[final] ).
cnf(c_0_963,plain,
lhs_atom193,
c_0_747,
[final] ).
cnf(c_0_964,plain,
lhs_atom192,
c_0_748,
[final] ).
cnf(c_0_965,plain,
lhs_atom191,
c_0_749,
[final] ).
cnf(c_0_966,plain,
lhs_atom190,
c_0_750,
[final] ).
cnf(c_0_967,plain,
lhs_atom189,
c_0_751,
[final] ).
cnf(c_0_968,plain,
lhs_atom188,
c_0_752,
[final] ).
cnf(c_0_969,plain,
lhs_atom187,
c_0_753,
[final] ).
cnf(c_0_970,plain,
lhs_atom186,
c_0_754,
[final] ).
cnf(c_0_971,plain,
lhs_atom185,
c_0_755,
[final] ).
cnf(c_0_972,plain,
lhs_atom184,
c_0_756,
[final] ).
cnf(c_0_973,plain,
lhs_atom183,
c_0_757,
[final] ).
cnf(c_0_974,plain,
lhs_atom182,
c_0_758,
[final] ).
cnf(c_0_975,plain,
lhs_atom181,
c_0_759,
[final] ).
cnf(c_0_976,plain,
lhs_atom180,
c_0_760,
[final] ).
cnf(c_0_977,plain,
lhs_atom179,
c_0_761,
[final] ).
cnf(c_0_978,plain,
lhs_atom178,
c_0_762,
[final] ).
cnf(c_0_979,plain,
lhs_atom177,
c_0_763,
[final] ).
cnf(c_0_980,plain,
lhs_atom176,
c_0_764,
[final] ).
cnf(c_0_981,plain,
lhs_atom175,
c_0_765,
[final] ).
cnf(c_0_982,plain,
lhs_atom174,
c_0_766,
[final] ).
cnf(c_0_983,plain,
lhs_atom173,
c_0_767,
[final] ).
cnf(c_0_984,plain,
lhs_atom172,
c_0_768,
[final] ).
cnf(c_0_985,plain,
lhs_atom171,
c_0_769,
[final] ).
cnf(c_0_986,plain,
lhs_atom170,
c_0_770,
[final] ).
cnf(c_0_987,plain,
lhs_atom169,
c_0_771,
[final] ).
cnf(c_0_988,plain,
lhs_atom168,
c_0_772,
[final] ).
cnf(c_0_989,plain,
lhs_atom167,
c_0_773,
[final] ).
cnf(c_0_990,plain,
lhs_atom166,
c_0_774,
[final] ).
cnf(c_0_991,plain,
lhs_atom165,
c_0_775,
[final] ).
cnf(c_0_992,plain,
lhs_atom164,
c_0_776,
[final] ).
cnf(c_0_993,plain,
lhs_atom163,
c_0_777,
[final] ).
cnf(c_0_994,plain,
lhs_atom162,
c_0_778,
[final] ).
cnf(c_0_995,plain,
lhs_atom161,
c_0_779,
[final] ).
cnf(c_0_996,plain,
lhs_atom160,
c_0_780,
[final] ).
cnf(c_0_997,plain,
lhs_atom159,
c_0_781,
[final] ).
cnf(c_0_998,plain,
lhs_atom157,
c_0_782,
[final] ).
cnf(c_0_999,plain,
lhs_atom156,
c_0_783,
[final] ).
cnf(c_0_1000,plain,
lhs_atom155,
c_0_784,
[final] ).
cnf(c_0_1001,plain,
lhs_atom154,
c_0_785,
[final] ).
cnf(c_0_1002,plain,
lhs_atom153,
c_0_786,
[final] ).
cnf(c_0_1003,plain,
lhs_atom152,
c_0_787,
[final] ).
cnf(c_0_1004,plain,
lhs_atom151,
c_0_788,
[final] ).
cnf(c_0_1005,plain,
lhs_atom150,
c_0_789,
[final] ).
cnf(c_0_1006,plain,
lhs_atom149,
c_0_790,
[final] ).
cnf(c_0_1007,plain,
lhs_atom148,
c_0_791,
[final] ).
cnf(c_0_1008,plain,
lhs_atom147,
c_0_792,
[final] ).
cnf(c_0_1009,plain,
lhs_atom146,
c_0_793,
[final] ).
cnf(c_0_1010,plain,
lhs_atom145,
c_0_794,
[final] ).
cnf(c_0_1011,plain,
lhs_atom144,
c_0_795,
[final] ).
cnf(c_0_1012,plain,
lhs_atom143,
c_0_796,
[final] ).
cnf(c_0_1013,plain,
lhs_atom142,
c_0_797,
[final] ).
cnf(c_0_1014,plain,
lhs_atom141,
c_0_798,
[final] ).
cnf(c_0_1015,plain,
lhs_atom140,
c_0_799,
[final] ).
cnf(c_0_1016,plain,
lhs_atom139,
c_0_800,
[final] ).
cnf(c_0_1017,plain,
lhs_atom138,
c_0_801,
[final] ).
cnf(c_0_1018,plain,
lhs_atom137,
c_0_802,
[final] ).
cnf(c_0_1019,plain,
lhs_atom136,
c_0_803,
[final] ).
cnf(c_0_1020,plain,
lhs_atom135,
c_0_804,
[final] ).
cnf(c_0_1021,plain,
lhs_atom134,
c_0_805,
[final] ).
cnf(c_0_1022,plain,
lhs_atom133,
c_0_806,
[final] ).
cnf(c_0_1023,plain,
lhs_atom132,
c_0_807,
[final] ).
cnf(c_0_1024,plain,
lhs_atom131,
c_0_808,
[final] ).
cnf(c_0_1025,plain,
lhs_atom130,
c_0_809,
[final] ).
cnf(c_0_1026,plain,
lhs_atom129,
c_0_810,
[final] ).
cnf(c_0_1027,plain,
lhs_atom128,
c_0_811,
[final] ).
cnf(c_0_1028,plain,
lhs_atom127,
c_0_812,
[final] ).
cnf(c_0_1029,plain,
lhs_atom126,
c_0_813,
[final] ).
cnf(c_0_1030,plain,
lhs_atom125,
c_0_814,
[final] ).
cnf(c_0_1031,plain,
lhs_atom124,
c_0_815,
[final] ).
cnf(c_0_1032,plain,
lhs_atom123,
c_0_816,
[final] ).
cnf(c_0_1033,plain,
lhs_atom122,
c_0_817,
[final] ).
cnf(c_0_1034,plain,
lhs_atom121,
c_0_818,
[final] ).
cnf(c_0_1035,plain,
lhs_atom120,
c_0_819,
[final] ).
cnf(c_0_1036,plain,
lhs_atom119,
c_0_820,
[final] ).
cnf(c_0_1037,plain,
lhs_atom118,
c_0_821,
[final] ).
cnf(c_0_1038,plain,
lhs_atom117,
c_0_822,
[final] ).
cnf(c_0_1039,plain,
lhs_atom116,
c_0_823,
[final] ).
cnf(c_0_1040,plain,
lhs_atom115,
c_0_824,
[final] ).
cnf(c_0_1041,plain,
lhs_atom114,
c_0_825,
[final] ).
cnf(c_0_1042,plain,
lhs_atom113,
c_0_826,
[final] ).
cnf(c_0_1043,plain,
lhs_atom112,
c_0_827,
[final] ).
cnf(c_0_1044,plain,
lhs_atom111,
c_0_828,
[final] ).
cnf(c_0_1045,plain,
lhs_atom110,
c_0_829,
[final] ).
cnf(c_0_1046,plain,
lhs_atom109,
c_0_830,
[final] ).
cnf(c_0_1047,plain,
lhs_atom108,
c_0_831,
[final] ).
cnf(c_0_1048,plain,
lhs_atom107,
c_0_832,
[final] ).
cnf(c_0_1049,plain,
lhs_atom106,
c_0_833,
[final] ).
cnf(c_0_1050,plain,
lhs_atom105,
c_0_834,
[final] ).
cnf(c_0_1051,plain,
lhs_atom104,
c_0_835,
[final] ).
cnf(c_0_1052,plain,
lhs_atom103,
c_0_836,
[final] ).
cnf(c_0_1053,plain,
lhs_atom102,
c_0_837,
[final] ).
cnf(c_0_1054,plain,
lhs_atom101,
c_0_838,
[final] ).
cnf(c_0_1055,plain,
lhs_atom100,
c_0_839,
[final] ).
cnf(c_0_1056,plain,
lhs_atom99,
c_0_840,
[final] ).
cnf(c_0_1057,plain,
lhs_atom98,
c_0_841,
[final] ).
cnf(c_0_1058,plain,
lhs_atom97,
c_0_842,
[final] ).
cnf(c_0_1059,plain,
lhs_atom96,
c_0_843,
[final] ).
cnf(c_0_1060,plain,
lhs_atom95,
c_0_844,
[final] ).
cnf(c_0_1061,plain,
lhs_atom94,
c_0_845,
[final] ).
cnf(c_0_1062,plain,
lhs_atom93,
c_0_846,
[final] ).
cnf(c_0_1063,plain,
lhs_atom92,
c_0_847,
[final] ).
cnf(c_0_1064,plain,
lhs_atom91,
c_0_848,
[final] ).
cnf(c_0_1065,plain,
lhs_atom90,
c_0_849,
[final] ).
cnf(c_0_1066,plain,
lhs_atom89,
c_0_850,
[final] ).
cnf(c_0_1067,plain,
lhs_atom45,
c_0_851,
[final] ).
cnf(c_0_1068,plain,
lhs_atom43,
c_0_852,
[final] ).
cnf(c_0_1069,plain,
lhs_atom42,
c_0_853,
[final] ).
cnf(c_0_1070,plain,
lhs_atom38,
c_0_854,
[final] ).
cnf(c_0_1071,plain,
lhs_atom37,
c_0_855,
[final] ).
cnf(c_0_1072,plain,
lhs_atom36,
c_0_856,
[final] ).
cnf(c_0_1073,plain,
lhs_atom35,
c_0_857,
[final] ).
cnf(c_0_1074,plain,
lhs_atom34,
c_0_858,
[final] ).
cnf(c_0_1075,plain,
lhs_atom19,
c_0_859,
[final] ).
cnf(c_0_1076,plain,
lhs_atom18,
c_0_860,
[final] ).
cnf(c_0_1077,plain,
lhs_atom17,
c_0_861,
[final] ).
cnf(c_0_1078,plain,
lhs_atom16,
c_0_862,
[final] ).
cnf(c_0_1079,plain,
lhs_atom14,
c_0_863,
[final] ).
% End CNF derivation
cnf(c_0_864_0,axiom,
c_Datatype__Universe_OScons(X3,X2,X5,X4) != c_Datatype__Universe_ONumb(X1,X5,X4),
inference(unfold_definition,[status(thm)],[c_0_864,def_lhs_atom13]) ).
cnf(c_0_865_0,axiom,
c_Datatype__Universe_OScons(X3,X2,X5,X4) != c_Datatype__Universe_OLeaf(X1,X5,X4),
inference(unfold_definition,[status(thm)],[c_0_865,def_lhs_atom12]) ).
cnf(c_0_866_0,axiom,
c_Datatype__Universe_OScons(X3,X2,X5,X4) != c_Datatype__Universe_OAtom(X1,X5,X4),
inference(unfold_definition,[status(thm)],[c_0_866,def_lhs_atom11]) ).
cnf(c_0_867_0,axiom,
c_Datatype__Universe_ONumb(X1,X5,X4) != c_Datatype__Universe_OScons(X3,X2,X5,X4),
inference(unfold_definition,[status(thm)],[c_0_867,def_lhs_atom10]) ).
cnf(c_0_868_0,axiom,
c_Datatype__Universe_OLeaf(X1,X5,X4) != c_Datatype__Universe_OScons(X3,X2,X5,X4),
inference(unfold_definition,[status(thm)],[c_0_868,def_lhs_atom8]) ).
cnf(c_0_869_0,axiom,
c_Datatype__Universe_OAtom(X1,X5,X4) != c_Datatype__Universe_OScons(X3,X2,X5,X4),
inference(unfold_definition,[status(thm)],[c_0_869,def_lhs_atom4]) ).
cnf(c_0_870_0,axiom,
c_Sum__Type_OInr(X1,X3,X4) != c_Sum__Type_OInl(X2,X4,X3),
inference(unfold_definition,[status(thm)],[c_0_870,def_lhs_atom51]) ).
cnf(c_0_871_0,axiom,
c_Sum__Type_OInl(X2,X4,X3) != c_Sum__Type_OInr(X1,X3,X4),
inference(unfold_definition,[status(thm)],[c_0_871,def_lhs_atom50]) ).
cnf(c_0_872_0,axiom,
c_Datatype__Universe_ONumb(X1,X4,X3) != c_Datatype__Universe_OLeaf(X2,X4,X3),
inference(unfold_definition,[status(thm)],[c_0_872,def_lhs_atom9]) ).
cnf(c_0_873_0,axiom,
c_Datatype__Universe_OLeaf(X2,X4,X3) != c_Datatype__Universe_ONumb(X1,X4,X3),
inference(unfold_definition,[status(thm)],[c_0_873,def_lhs_atom7]) ).
cnf(c_0_874_0,axiom,
c_Datatype__Universe_OIn1(X1,X4,X3) != c_Datatype__Universe_OIn0(X2,X4,X3),
inference(unfold_definition,[status(thm)],[c_0_874,def_lhs_atom6]) ).
cnf(c_0_875_0,axiom,
c_Datatype__Universe_OIn0(X2,X4,X3) != c_Datatype__Universe_OIn1(X1,X4,X3),
inference(unfold_definition,[status(thm)],[c_0_875,def_lhs_atom5]) ).
cnf(c_0_876_0,axiom,
c_in(c_Pair(X2,X2,X3,X3),c_Transitive__Closure_Ortrancl(X1,X3),tc_prod(X3,X3)),
inference(unfold_definition,[status(thm)],[c_0_876,def_lhs_atom87]) ).
cnf(c_0_877_0,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_877,def_lhs_atom48]) ).
cnf(c_0_878_0,axiom,
c_List_Orev(c_append(c_List_Orev(X1,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3),X3) = c_List_Olist_OCons(X2,X1,X3),
inference(unfold_definition,[status(thm)],[c_0_878,def_lhs_atom30]) ).
cnf(c_0_879_0,axiom,
c_List_Olist_OCons(X2,X1,X3) != c_List_Olist_ONil,
inference(unfold_definition,[status(thm)],[c_0_879,def_lhs_atom29]) ).
cnf(c_0_880_0,axiom,
c_List_Olist_ONil != c_List_Olist_OCons(X2,X1,X3),
inference(unfold_definition,[status(thm)],[c_0_880,def_lhs_atom28]) ).
cnf(c_0_881_0,axiom,
~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X2,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),
inference(unfold_definition,[status(thm)],[c_0_881,def_lhs_atom23]) ).
cnf(c_0_882_0,axiom,
~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X2,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),
inference(unfold_definition,[status(thm)],[c_0_882,def_lhs_atom20]) ).
cnf(c_0_883_0,axiom,
class_Nat_Opower(tc_fun(X1,X2)),
inference(unfold_definition,[status(thm)],[c_0_883,def_lhs_atom158]) ).
cnf(c_0_884_0,axiom,
c_lessequals(X1,X1,tc_set(X2)),
inference(unfold_definition,[status(thm)],[c_0_884,def_lhs_atom86]) ).
cnf(c_0_885_0,axiom,
c_in(X1,c_insert(X1,c_emptyset,X2),X2),
inference(unfold_definition,[status(thm)],[c_0_885,def_lhs_atom85]) ).
cnf(c_0_886_0,axiom,
c_lessequals(c_emptyset,X1,tc_set(X2)),
inference(unfold_definition,[status(thm)],[c_0_886,def_lhs_atom84]) ).
cnf(c_0_887_0,axiom,
c_in(X1,c_UNIV,X2),
inference(unfold_definition,[status(thm)],[c_0_887,def_lhs_atom83]) ).
cnf(c_0_888_0,axiom,
c_in(c_SetInterval_OgreaterThanLessThan(X2,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
inference(unfold_definition,[status(thm)],[c_0_888,def_lhs_atom81]) ).
cnf(c_0_889_0,axiom,
c_in(c_SetInterval_OgreaterThanLessThan(X2,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
inference(unfold_definition,[status(thm)],[c_0_889,def_lhs_atom80]) ).
cnf(c_0_890_0,axiom,
c_in(c_SetInterval_OgreaterThanAtMost(X2,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
inference(unfold_definition,[status(thm)],[c_0_890,def_lhs_atom79]) ).
cnf(c_0_891_0,axiom,
c_in(c_SetInterval_OgreaterThanAtMost(X2,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
inference(unfold_definition,[status(thm)],[c_0_891,def_lhs_atom78]) ).
cnf(c_0_892_0,axiom,
c_in(c_SetInterval_OatLeastLessThan(X2,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
inference(unfold_definition,[status(thm)],[c_0_892,def_lhs_atom76]) ).
cnf(c_0_893_0,axiom,
c_in(c_SetInterval_OatLeastLessThan(X2,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
inference(unfold_definition,[status(thm)],[c_0_893,def_lhs_atom75]) ).
cnf(c_0_894_0,axiom,
c_in(c_SetInterval_OatLeastAtMost(X2,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
inference(unfold_definition,[status(thm)],[c_0_894,def_lhs_atom74]) ).
cnf(c_0_895_0,axiom,
c_in(c_SetInterval_OatLeastAtMost(X2,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
inference(unfold_definition,[status(thm)],[c_0_895,def_lhs_atom73]) ).
cnf(c_0_896_0,axiom,
c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
inference(unfold_definition,[status(thm)],[c_0_896,def_lhs_atom68]) ).
cnf(c_0_897_0,axiom,
c_lessequals(c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_897,def_lhs_atom67]) ).
cnf(c_0_898_0,axiom,
c_in(c_List_Oset(X1,X2),c_Finite__Set_OFinites,tc_set(X2)),
inference(unfold_definition,[status(thm)],[c_0_898,def_lhs_atom66]) ).
cnf(c_0_899_0,axiom,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
inference(unfold_definition,[status(thm)],[c_0_899,def_lhs_atom65]) ).
cnf(c_0_900_0,axiom,
c_Divides_Oop_Advd(X2,c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_900,def_lhs_atom64]) ).
cnf(c_0_901_0,axiom,
c_Divides_Oop_Advd(X2,c_times(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_901,def_lhs_atom63]) ).
cnf(c_0_902_0,axiom,
c_less(c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_902,def_lhs_atom60]) ).
cnf(c_0_903_0,axiom,
c_lessequals(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_903,def_lhs_atom59]) ).
cnf(c_0_904_0,axiom,
c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),X1,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_904,def_lhs_atom58]) ).
cnf(c_0_905_0,axiom,
c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),X2,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_905,def_lhs_atom57]) ).
cnf(c_0_906_0,axiom,
c_Divides_Oop_Advd(X2,c_times(X1,X2,tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_906,def_lhs_atom55]) ).
cnf(c_0_907_0,axiom,
c_Divides_Oop_Advd(X2,c_times(X2,X1,tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_907,def_lhs_atom54]) ).
cnf(c_0_908_0,axiom,
~ c_less(X1,c_emptyset,tc_set(X2)),
inference(unfold_definition,[status(thm)],[c_0_908,def_lhs_atom49]) ).
cnf(c_0_909_0,axiom,
~ c_in(X1,c_emptyset,X2),
inference(unfold_definition,[status(thm)],[c_0_909,def_lhs_atom47]) ).
cnf(c_0_910_0,axiom,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
inference(unfold_definition,[status(thm)],[c_0_910,def_lhs_atom44]) ).
cnf(c_0_911_0,axiom,
~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_911,def_lhs_atom40]) ).
cnf(c_0_912_0,axiom,
~ c_less(c_plus(X2,X1,tc_nat),X2,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_912,def_lhs_atom39]) ).
cnf(c_0_913_0,axiom,
c_append(X1,c_List_Olist_ONil,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_913,def_lhs_atom25]) ).
cnf(c_0_914_0,axiom,
c_append(c_List_Olist_ONil,X1,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_914,def_lhs_atom24]) ).
cnf(c_0_915_0,axiom,
c_append(X1,c_List_Olist_ONil,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_915,def_lhs_atom25]) ).
cnf(c_0_916_0,axiom,
c_append(c_List_Olist_ONil,X1,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_916,def_lhs_atom24]) ).
cnf(c_0_917_0,axiom,
c_Equiv__Relations_Oquotient(c_emptyset,X1,X2) = c_emptyset,
inference(unfold_definition,[status(thm)],[c_0_917,def_lhs_atom15]) ).
cnf(c_0_918_0,axiom,
c_Equiv__Relations_Oquotient(c_emptyset,X1,X2) = c_emptyset,
inference(unfold_definition,[status(thm)],[c_0_918,def_lhs_atom15]) ).
cnf(c_0_919_0,axiom,
c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_ONone,
inference(unfold_definition,[status(thm)],[c_0_919,def_lhs_atom3]) ).
cnf(c_0_920_0,axiom,
c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_920,def_lhs_atom2]) ).
cnf(c_0_921_0,axiom,
c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),X2),
inference(unfold_definition,[status(thm)],[c_0_921,def_lhs_atom1]) ).
cnf(c_0_922_0,axiom,
class_Nat_Opower(tc_set(X1)),
inference(unfold_definition,[status(thm)],[c_0_922,def_lhs_atom210]) ).
cnf(c_0_923_0,axiom,
class_Orderings_Oorder(tc_set(X1)),
inference(unfold_definition,[status(thm)],[c_0_923,def_lhs_atom209]) ).
cnf(c_0_924_0,axiom,
class_Orderings_Oord(tc_set(X1)),
inference(unfold_definition,[status(thm)],[c_0_924,def_lhs_atom208]) ).
cnf(c_0_925_0,axiom,
class_HOL_Ominus(tc_set(X1)),
inference(unfold_definition,[status(thm)],[c_0_925,def_lhs_atom207]) ).
cnf(c_0_926_0,axiom,
c_Wellfounded__Recursion_Owf(c_emptyset,X1),
inference(unfold_definition,[status(thm)],[c_0_926,def_lhs_atom88]) ).
cnf(c_0_927_0,axiom,
c_in(c_SetInterval_OlessThan(X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
inference(unfold_definition,[status(thm)],[c_0_927,def_lhs_atom82]) ).
cnf(c_0_928_0,axiom,
c_in(c_SetInterval_OatMost(X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
inference(unfold_definition,[status(thm)],[c_0_928,def_lhs_atom77]) ).
cnf(c_0_929_0,axiom,
c_less(c_0,c_Suc(X1),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_929,def_lhs_atom72]) ).
cnf(c_0_930_0,axiom,
~ c_less(X1,X1,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_930,def_lhs_atom71]) ).
cnf(c_0_931_0,axiom,
c_less(X1,c_Suc(X1),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_931,def_lhs_atom70]) ).
cnf(c_0_932_0,axiom,
c_lessequals(c_0,X1,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_932,def_lhs_atom69]) ).
cnf(c_0_933_0,axiom,
c_Divides_Oop_Advd(c_1,X1,tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_933,def_lhs_atom62]) ).
cnf(c_0_934_0,axiom,
c_Divides_Oop_Advd(X1,c_0,tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_934,def_lhs_atom61]) ).
cnf(c_0_935_0,axiom,
c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
inference(unfold_definition,[status(thm)],[c_0_935,def_lhs_atom56]) ).
cnf(c_0_936_0,axiom,
c_Divides_Oop_Advd(c_Suc(c_0),X1,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_936,def_lhs_atom53]) ).
cnf(c_0_937_0,axiom,
c_Divides_Oop_Advd(X1,c_0,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_937,def_lhs_atom52]) ).
cnf(c_0_938_0,axiom,
c_union(c_emptyset,c_emptyset,X1) = c_emptyset,
inference(unfold_definition,[status(thm)],[c_0_938,def_lhs_atom46]) ).
cnf(c_0_939_0,axiom,
~ c_less(X1,c_0,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_939,def_lhs_atom41]) ).
cnf(c_0_940_0,axiom,
c_0 != c_Suc(X1),
inference(unfold_definition,[status(thm)],[c_0_940,def_lhs_atom33]) ).
cnf(c_0_941_0,axiom,
c_Suc(X1) != c_0,
inference(unfold_definition,[status(thm)],[c_0_941,def_lhs_atom32]) ).
cnf(c_0_942_0,axiom,
c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
inference(unfold_definition,[status(thm)],[c_0_942,def_lhs_atom31]) ).
cnf(c_0_943_0,axiom,
c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
inference(unfold_definition,[status(thm)],[c_0_943,def_lhs_atom31]) ).
cnf(c_0_944_0,axiom,
c_List_Orev(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
inference(unfold_definition,[status(thm)],[c_0_944,def_lhs_atom22]) ).
cnf(c_0_945_0,axiom,
~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_945,def_lhs_atom27]) ).
cnf(c_0_946_0,axiom,
c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) = c_0,
inference(unfold_definition,[status(thm)],[c_0_946,def_lhs_atom26]) ).
cnf(c_0_947_0,axiom,
c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1) = c_List_Olist_ONil,
inference(unfold_definition,[status(thm)],[c_0_947,def_lhs_atom21]) ).
cnf(c_0_948_0,axiom,
c_List_Orev(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
inference(unfold_definition,[status(thm)],[c_0_948,def_lhs_atom22]) ).
cnf(c_0_949_0,axiom,
c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1) = c_List_Olist_ONil,
inference(unfold_definition,[status(thm)],[c_0_949,def_lhs_atom21]) ).
cnf(c_0_950_0,axiom,
class_HOL_Ominus(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_950,def_lhs_atom206]) ).
cnf(c_0_951_0,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_951,def_lhs_atom205]) ).
cnf(c_0_952_0,axiom,
class_Orderings_Olinorder(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_952,def_lhs_atom204]) ).
cnf(c_0_953_0,axiom,
class_LOrder_Olorder(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_953,def_lhs_atom203]) ).
cnf(c_0_954_0,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_954,def_lhs_atom202]) ).
cnf(c_0_955_0,axiom,
class_Parity_Oeven__odd(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_955,def_lhs_atom201]) ).
cnf(c_0_956_0,axiom,
class_Numeral_Onumber(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_956,def_lhs_atom200]) ).
cnf(c_0_957_0,axiom,
class_Power_Orecpower(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_957,def_lhs_atom199]) ).
cnf(c_0_958_0,axiom,
class_Divides_Odiv(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_958,def_lhs_atom198]) ).
cnf(c_0_959_0,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_959,def_lhs_atom197]) ).
cnf(c_0_960_0,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_960,def_lhs_atom196]) ).
cnf(c_0_961_0,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_961,def_lhs_atom195]) ).
cnf(c_0_962_0,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_962,def_lhs_atom194]) ).
cnf(c_0_963_0,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_963,def_lhs_atom193]) ).
cnf(c_0_964_0,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_964,def_lhs_atom192]) ).
cnf(c_0_965_0,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_965,def_lhs_atom191]) ).
cnf(c_0_966_0,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_966,def_lhs_atom190]) ).
cnf(c_0_967_0,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_967,def_lhs_atom189]) ).
cnf(c_0_968_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_968,def_lhs_atom188]) ).
cnf(c_0_969_0,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_969,def_lhs_atom187]) ).
cnf(c_0_970_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_970,def_lhs_atom186]) ).
cnf(c_0_971_0,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_971,def_lhs_atom185]) ).
cnf(c_0_972_0,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_972,def_lhs_atom184]) ).
cnf(c_0_973_0,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_973,def_lhs_atom183]) ).
cnf(c_0_974_0,axiom,
class_Orderings_Oorder(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_974,def_lhs_atom182]) ).
cnf(c_0_975_0,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_975,def_lhs_atom181]) ).
cnf(c_0_976_0,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_976,def_lhs_atom180]) ).
cnf(c_0_977_0,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_977,def_lhs_atom179]) ).
cnf(c_0_978_0,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_978,def_lhs_atom178]) ).
cnf(c_0_979_0,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_979,def_lhs_atom177]) ).
cnf(c_0_980_0,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_980,def_lhs_atom176]) ).
cnf(c_0_981_0,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_981,def_lhs_atom175]) ).
cnf(c_0_982_0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_982,def_lhs_atom174]) ).
cnf(c_0_983_0,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_983,def_lhs_atom173]) ).
cnf(c_0_984_0,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_984,def_lhs_atom172]) ).
cnf(c_0_985_0,axiom,
class_Orderings_Oord(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_985,def_lhs_atom171]) ).
cnf(c_0_986_0,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_986,def_lhs_atom170]) ).
cnf(c_0_987_0,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_987,def_lhs_atom169]) ).
cnf(c_0_988_0,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_988,def_lhs_atom168]) ).
cnf(c_0_989_0,axiom,
class_OrderedGroup_Osemigroup__mult(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_989,def_lhs_atom167]) ).
cnf(c_0_990_0,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_990,def_lhs_atom166]) ).
cnf(c_0_991_0,axiom,
class_OrderedGroup_Osemigroup__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_991,def_lhs_atom165]) ).
cnf(c_0_992_0,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_992,def_lhs_atom164]) ).
cnf(c_0_993_0,axiom,
class_Nat_Opower(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_993,def_lhs_atom163]) ).
cnf(c_0_994_0,axiom,
class_HOL_Otimes(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_994,def_lhs_atom162]) ).
cnf(c_0_995_0,axiom,
class_HOL_Oplus(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_995,def_lhs_atom161]) ).
cnf(c_0_996_0,axiom,
class_HOL_Ozero(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_996,def_lhs_atom160]) ).
cnf(c_0_997_0,axiom,
class_HOL_Oone(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_997,def_lhs_atom159]) ).
cnf(c_0_998_0,axiom,
class_Finite__Set_Ofinite(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_998,def_lhs_atom157]) ).
cnf(c_0_999_0,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
inference(unfold_definition,[status(thm)],[c_0_999,def_lhs_atom156]) ).
cnf(c_0_1000_0,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1000,def_lhs_atom155]) ).
cnf(c_0_1001_0,axiom,
class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1001,def_lhs_atom154]) ).
cnf(c_0_1002_0,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1002,def_lhs_atom153]) ).
cnf(c_0_1003_0,axiom,
class_Parity_Oeven__odd(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1003,def_lhs_atom152]) ).
cnf(c_0_1004_0,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1004,def_lhs_atom151]) ).
cnf(c_0_1005_0,axiom,
class_Nat_Opower(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1005,def_lhs_atom150]) ).
cnf(c_0_1006_0,axiom,
class_Divides_Odiv(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1006,def_lhs_atom149]) ).
cnf(c_0_1007_0,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1007,def_lhs_atom148]) ).
cnf(c_0_1008_0,axiom,
class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1008,def_lhs_atom147]) ).
cnf(c_0_1009_0,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1009,def_lhs_atom146]) ).
cnf(c_0_1010_0,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1010,def_lhs_atom145]) ).
cnf(c_0_1011_0,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1011,def_lhs_atom144]) ).
cnf(c_0_1012_0,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1012,def_lhs_atom143]) ).
cnf(c_0_1013_0,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1013,def_lhs_atom142]) ).
cnf(c_0_1014_0,axiom,
class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1014,def_lhs_atom141]) ).
cnf(c_0_1015_0,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1015,def_lhs_atom140]) ).
cnf(c_0_1016_0,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1016,def_lhs_atom139]) ).
cnf(c_0_1017_0,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1017,def_lhs_atom138]) ).
cnf(c_0_1018_0,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1018,def_lhs_atom137]) ).
cnf(c_0_1019_0,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1019,def_lhs_atom136]) ).
cnf(c_0_1020_0,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1020,def_lhs_atom135]) ).
cnf(c_0_1021_0,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1021,def_lhs_atom134]) ).
cnf(c_0_1022_0,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1022,def_lhs_atom133]) ).
cnf(c_0_1023_0,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1023,def_lhs_atom132]) ).
cnf(c_0_1024_0,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1024,def_lhs_atom131]) ).
cnf(c_0_1025_0,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1025,def_lhs_atom130]) ).
cnf(c_0_1026_0,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1026,def_lhs_atom129]) ).
cnf(c_0_1027_0,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1027,def_lhs_atom128]) ).
cnf(c_0_1028_0,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1028,def_lhs_atom127]) ).
cnf(c_0_1029_0,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1029,def_lhs_atom126]) ).
cnf(c_0_1030_0,axiom,
class_HOL_Ozero(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1030,def_lhs_atom125]) ).
cnf(c_0_1031_0,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1031,def_lhs_atom124]) ).
cnf(c_0_1032_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1032,def_lhs_atom123]) ).
cnf(c_0_1033_0,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1033,def_lhs_atom122]) ).
cnf(c_0_1034_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1034,def_lhs_atom121]) ).
cnf(c_0_1035_0,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1035,def_lhs_atom120]) ).
cnf(c_0_1036_0,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1036,def_lhs_atom119]) ).
cnf(c_0_1037_0,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1037,def_lhs_atom118]) ).
cnf(c_0_1038_0,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1038,def_lhs_atom117]) ).
cnf(c_0_1039_0,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1039,def_lhs_atom116]) ).
cnf(c_0_1040_0,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1040,def_lhs_atom115]) ).
cnf(c_0_1041_0,axiom,
class_HOL_Otimes(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1041,def_lhs_atom114]) ).
cnf(c_0_1042_0,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1042,def_lhs_atom113]) ).
cnf(c_0_1043_0,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1043,def_lhs_atom112]) ).
cnf(c_0_1044_0,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1044,def_lhs_atom111]) ).
cnf(c_0_1045_0,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1045,def_lhs_atom110]) ).
cnf(c_0_1046_0,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1046,def_lhs_atom109]) ).
cnf(c_0_1047_0,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1047,def_lhs_atom108]) ).
cnf(c_0_1048_0,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1048,def_lhs_atom107]) ).
cnf(c_0_1049_0,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1049,def_lhs_atom106]) ).
cnf(c_0_1050_0,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1050,def_lhs_atom105]) ).
cnf(c_0_1051_0,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1051,def_lhs_atom104]) ).
cnf(c_0_1052_0,axiom,
class_HOL_Oplus(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1052,def_lhs_atom103]) ).
cnf(c_0_1053_0,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1053,def_lhs_atom102]) ).
cnf(c_0_1054_0,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1054,def_lhs_atom101]) ).
cnf(c_0_1055_0,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1055,def_lhs_atom100]) ).
cnf(c_0_1056_0,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1056,def_lhs_atom99]) ).
cnf(c_0_1057_0,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1057,def_lhs_atom98]) ).
cnf(c_0_1058_0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1058,def_lhs_atom97]) ).
cnf(c_0_1059_0,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1059,def_lhs_atom96]) ).
cnf(c_0_1060_0,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1060,def_lhs_atom95]) ).
cnf(c_0_1061_0,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1061,def_lhs_atom94]) ).
cnf(c_0_1062_0,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1062,def_lhs_atom93]) ).
cnf(c_0_1063_0,axiom,
class_HOL_Oone(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1063,def_lhs_atom92]) ).
cnf(c_0_1064_0,axiom,
class_HOL_Ominus(tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1064,def_lhs_atom91]) ).
cnf(c_0_1065_0,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_1065,def_lhs_atom90]) ).
cnf(c_0_1066_0,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_1066,def_lhs_atom89]) ).
cnf(c_0_1067_0,axiom,
c_UNIV != c_emptyset,
inference(unfold_definition,[status(thm)],[c_0_1067,def_lhs_atom45]) ).
cnf(c_0_1068_0,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
inference(unfold_definition,[status(thm)],[c_0_1068,def_lhs_atom43]) ).
cnf(c_0_1069_0,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
inference(unfold_definition,[status(thm)],[c_0_1069,def_lhs_atom42]) ).
cnf(c_0_1070_0,axiom,
~ c_less(c_0,c_0,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_1070,def_lhs_atom38]) ).
cnf(c_0_1071_0,axiom,
c_less(c_0,c_1,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_1071,def_lhs_atom37]) ).
cnf(c_0_1072_0,axiom,
c_less(c_0,c_Suc(c_0),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_1072,def_lhs_atom36]) ).
cnf(c_0_1073_0,axiom,
c_lessequals(c_0,c_0,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_1073,def_lhs_atom35]) ).
cnf(c_0_1074_0,axiom,
c_plus(c_0,c_0,tc_nat) = c_0,
inference(unfold_definition,[status(thm)],[c_0_1074,def_lhs_atom34]) ).
cnf(c_0_1075_0,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
inference(unfold_definition,[status(thm)],[c_0_1075,def_lhs_atom19]) ).
cnf(c_0_1076_0,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
inference(unfold_definition,[status(thm)],[c_0_1076,def_lhs_atom18]) ).
cnf(c_0_1077_0,axiom,
c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
inference(unfold_definition,[status(thm)],[c_0_1077,def_lhs_atom17]) ).
cnf(c_0_1078_0,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
inference(unfold_definition,[status(thm)],[c_0_1078,def_lhs_atom16]) ).
cnf(c_0_1079_0,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_1079,def_lhs_atom14]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X24,X22,X13,X23,X10,X4] :
( ~ c_in(X24,c_Relation_Orel__comp(X13,X22,X23,X10,X4),tc_prod(X4,X10))
| c_in(c_Pair(c_Main_Orel__compE__2(X13,X22,X24,X23,X10,X4),c_Main_Orel__compE__3(X13,X22,X24,X23,X10,X4),X23,X10),X13,tc_prod(X23,X10)) ),
file('<stdin>',cls_Relation_Orel__compE_0) ).
fof(c_0_1_002,axiom,
! [X24,X22,X13,X23,X10,X4] :
( ~ c_in(X24,c_Relation_Orel__comp(X13,X22,X23,X10,X4),tc_prod(X4,X10))
| c_in(c_Pair(c_Main_Orel__compE__1(X13,X22,X24,X23,X10,X4),c_Main_Orel__compE__2(X13,X22,X24,X23,X10,X4),X4,X23),X22,tc_prod(X4,X23)) ),
file('<stdin>',cls_Relation_Orel__compE_1) ).
fof(c_0_2_003,axiom,
! [X24,X22,X13,X23,X10,X4] :
( ~ c_in(X24,c_Relation_Orel__comp(X13,X22,X23,X10,X4),tc_prod(X4,X10))
| X24 = c_Pair(c_Main_Orel__compE__1(X13,X22,X24,X23,X10,X4),c_Main_Orel__compE__3(X13,X22,X24,X23,X10,X4),X4,X10) ),
file('<stdin>',cls_Relation_Orel__compE_2) ).
fof(c_0_3_004,axiom,
! [X22,X13,X20,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Odprod(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| X20 = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X20,X13,X22,X4,X10),c_Main_OdprodE__2(X20,X13,X22,X4,X10),X4,X10),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X20,X13,X22,X4,X10),c_Main_OdprodE__4(X20,X13,X22,X4,X10),X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
file('<stdin>',cls_Datatype__Universe_OdprodE_0) ).
fof(c_0_4_005,axiom,
! [X22,X13,X20,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Odprod(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdprodE__2(X20,X13,X22,X4,X10),c_Main_OdprodE__4(X20,X13,X22,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X22,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
file('<stdin>',cls_Datatype__Universe_OdprodE_1) ).
fof(c_0_5_006,axiom,
! [X22,X13,X20,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Odprod(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdprodE__1(X20,X13,X22,X4,X10),c_Main_OdprodE__3(X20,X13,X22,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X13,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
file('<stdin>',cls_Datatype__Universe_OdprodE_2) ).
fof(c_0_6_007,axiom,
! [X39,X22,X13,X10,X4] :
( ~ c_in(X39,c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdsumE__1(X13,X39,X4,X10),c_Main_OdsumE__2(X13,X39,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X13,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdsumE__3(X22,X39,X4,X10),c_Main_OdsumE__4(X22,X39,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X22,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
file('<stdin>',cls_Datatype__Universe_OdsumE_3) ).
fof(c_0_7_008,axiom,
! [X39,X22,X13,X10,X4] :
( ~ c_in(X39,c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdsumE__3(X22,X39,X4,X10),c_Main_OdsumE__4(X22,X39,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X22,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| X39 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X13,X39,X4,X10),X4,X10),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X13,X39,X4,X10),X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
file('<stdin>',cls_Datatype__Universe_OdsumE_1) ).
fof(c_0_8_009,axiom,
! [X39,X22,X13,X10,X4] :
( ~ c_in(X39,c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdsumE__1(X13,X39,X4,X10),c_Main_OdsumE__2(X13,X39,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X13,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| X39 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X22,X39,X4,X10),X4,X10),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X22,X39,X4,X10),X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
file('<stdin>',cls_Datatype__Universe_OdsumE_2) ).
fof(c_0_9_010,axiom,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X30,X29,X4),X28,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_in(c_Pair(X29,c_Main_Olistrel__Cons1__2(X13,X28,X30,X29,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
file('<stdin>',cls_List_Olistrel__Cons1_1) ).
fof(c_0_10_011,axiom,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(X28,c_List_Olist_OCons(X30,X29,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__2(X13,X28,X30,X29,X4),X29,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
file('<stdin>',cls_List_Olistrel__Cons2_1) ).
fof(c_0_11_012,axiom,
! [X22,X13,X37,X35,X38,X36,X10,X4] :
( ~ c_in(c_Pair(X35,X37,tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X22,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| ~ c_in(c_Pair(X36,X38,tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X13,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X36,X35,X4,X10),c_Datatype__Universe_OScons(X38,X37,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),c_Datatype__Universe_Odprod(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
file('<stdin>',cls_Datatype__Universe_OdprodI_0) ).
fof(c_0_12_013,axiom,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X30,X29,X4),X28,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_in(c_Pair(X30,c_Main_Olistrel__Cons1__1(X13,X28,X30,X29,X4),X4,X4),X13,tc_prod(X4,X4)) ),
file('<stdin>',cls_List_Olistrel__Cons1_2) ).
fof(c_0_13_014,axiom,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(X28,c_List_Olist_OCons(X30,X29,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__1(X13,X28,X30,X29,X4),X30,X4,X4),X13,tc_prod(X4,X4)) ),
file('<stdin>',cls_List_Olistrel__Cons2_2) ).
fof(c_0_14_015,axiom,
! [X39,X22,X13,X10,X4] :
( ~ c_in(X39,c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| X39 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X13,X39,X4,X10),X4,X10),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X13,X39,X4,X10),X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| X39 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X22,X39,X4,X10),X4,X10),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X22,X39,X4,X10),X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
file('<stdin>',cls_Datatype__Universe_OdsumE_0) ).
fof(c_0_15_016,axiom,
! [X13,X14,X19,X10,X4] :
( ~ c_in(X14,c_Relation_OImage(X13,X19,X10,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X19,X14,X13,X10,X4),X14,X10,X4),X13,tc_prod(X10,X4)) ),
file('<stdin>',cls_Relation_OImageE_1) ).
fof(c_0_16_017,axiom,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X30,X29,X4),X28,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| X28 = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X13,X28,X30,X29,X4),c_Main_Olistrel__Cons1__2(X13,X28,X30,X29,X4),X4) ),
file('<stdin>',cls_List_Olistrel__Cons1_0) ).
fof(c_0_17_018,axiom,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(X28,c_List_Olist_OCons(X30,X29,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| X28 = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X13,X28,X30,X29,X4),c_Main_Olistrel__Cons2__2(X13,X28,X30,X29,X4),X4) ),
file('<stdin>',cls_List_Olistrel__Cons2_0) ).
fof(c_0_18_019,axiom,
! [X20,X18,X19,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Ouprod(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| X20 = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X19,X18,X20,X4,X10),c_Main_OuprodE__2(X19,X18,X20,X4,X10),X4,X10) ),
file('<stdin>',cls_Datatype__Universe_OuprodE_0) ).
fof(c_0_19_020,axiom,
! [X22,X13,X20,X14,X15,X23,X10,X4] :
( ~ c_in(c_Pair(X14,X20,X10,X23),X13,tc_prod(X10,X23))
| ~ c_in(c_Pair(X15,X14,X4,X10),X22,tc_prod(X4,X10))
| c_in(c_Pair(X15,X20,X4,X23),c_Relation_Orel__comp(X13,X22,X10,X23,X4),tc_prod(X4,X23)) ),
file('<stdin>',cls_Relation_Orel__compI_0) ).
fof(c_0_20_021,axiom,
! [X22,X13,X38,X36,X10,X4] :
( ~ c_in(c_Pair(X36,X38,tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X13,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Datatype__Universe_OIn0(X36,X4,X10),c_Datatype__Universe_OIn0(X38,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
file('<stdin>',cls_Datatype__Universe_Odsum__In0I_0) ).
fof(c_0_21_022,axiom,
! [X22,X13,X37,X35,X10,X4] :
( ~ c_in(c_Pair(X35,X37,tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X22,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Datatype__Universe_OIn1(X35,X4,X10),c_Datatype__Universe_OIn1(X37,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
file('<stdin>',cls_Datatype__Universe_Odsum__In1I_0) ).
fof(c_0_22_023,axiom,
! [X20,X18,X19,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Ouprod(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OuprodE__2(X19,X18,X20,X4,X10),X18,tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
file('<stdin>',cls_Datatype__Universe_OuprodE_1) ).
fof(c_0_23_024,axiom,
! [X20,X18,X19,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Ouprod(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OuprodE__1(X19,X18,X20,X4,X10),X19,tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
file('<stdin>',cls_Datatype__Universe_OuprodE_2) ).
fof(c_0_24_025,axiom,
! [X13,X14,X19,X10,X4] :
( ~ c_in(X14,c_Relation_OImage(X13,X19,X10,X4),X4)
| c_in(c_Main_OImageE__1(X19,X14,X13,X10,X4),X19,X10) ),
file('<stdin>',cls_Relation_OImageE_0) ).
fof(c_0_25_026,axiom,
! [X25,X13,X10,X4] :
( ~ c_in(X25,c_Relation_Oconverse(X13,X10,X4),tc_prod(X4,X10))
| c_in(c_Pair(c_Main_OconverseE__1(X13,X25,X10,X4),c_Main_OconverseE__2(X13,X25,X10,X4),X10,X4),X13,tc_prod(X10,X4)) ),
file('<stdin>',cls_Relation_OconverseE_0) ).
fof(c_0_26_027,axiom,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| ~ c_in(c_Pair(X26,X30,X4,X4),c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
file('<stdin>',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1) ).
fof(c_0_27_028,axiom,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| ~ c_in(c_Pair(X26,X30,X4,X4),c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
file('<stdin>',cls_Wellfounded__Recursion_Owf__insert__iff1_1) ).
fof(c_0_28_029,axiom,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OusumE__1(X19,X17,X4,X10),X19,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OusumE__2(X18,X17,X4,X10),X18,tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
file('<stdin>',cls_Datatype__Universe_OusumE_3) ).
fof(c_0_29_030,axiom,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OusumE__2(X18,X17,X4,X10),X18,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| X17 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X19,X17,X4,X10),X4,X10) ),
file('<stdin>',cls_Datatype__Universe_OusumE_1) ).
fof(c_0_30_031,axiom,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OusumE__1(X19,X17,X4,X10),X19,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| X17 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X18,X17,X4,X10),X4,X10) ),
file('<stdin>',cls_Datatype__Universe_OusumE_2) ).
fof(c_0_31_032,axiom,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| X17 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X19,X17,X4,X10),X4,X10)
| X17 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X18,X17,X4,X10),X4,X10) ),
file('<stdin>',cls_Datatype__Universe_OusumE_0) ).
fof(c_0_32_033,axiom,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Sum__Type_OPlus(X19,X18,X4,X10),tc_sum(X4,X10))
| X17 = c_Sum__Type_OInl(c_Main_OPlusE__1(X19,X17,X4,X10),X4,X10)
| X17 = c_Sum__Type_OInr(c_Main_OPlusE__2(X18,X17,X10,X4),X10,X4) ),
file('<stdin>',cls_Sum__Type_OPlusE_0) ).
fof(c_0_33_034,axiom,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Sum__Type_OPlus(X19,X18,X4,X10),tc_sum(X4,X10))
| c_in(c_Main_OPlusE__2(X18,X17,X10,X4),X18,X10)
| X17 = c_Sum__Type_OInl(c_Main_OPlusE__1(X19,X17,X4,X10),X4,X10) ),
file('<stdin>',cls_Sum__Type_OPlusE_1) ).
fof(c_0_34_035,axiom,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Sum__Type_OPlus(X19,X18,X4,X10),tc_sum(X4,X10))
| c_in(c_Main_OPlusE__1(X19,X17,X4,X10),X19,X4)
| X17 = c_Sum__Type_OInr(c_Main_OPlusE__2(X18,X17,X10,X4),X10,X4) ),
file('<stdin>',cls_Sum__Type_OPlusE_2) ).
fof(c_0_35_036,axiom,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Sum__Type_OPlus(X19,X18,X4,X10),tc_sum(X4,X10))
| c_in(c_Main_OPlusE__1(X19,X17,X4,X10),X19,X4)
| c_in(c_Main_OPlusE__2(X18,X17,X10,X4),X18,X10) ),
file('<stdin>',cls_Sum__Type_OPlusE_3) ).
fof(c_0_36_037,axiom,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| c_Wellfounded__Recursion_Oacyclic(X13,X4) ),
file('<stdin>',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).
fof(c_0_37_038,axiom,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| c_Wellfounded__Recursion_Owf(X13,X4) ),
file('<stdin>',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).
fof(c_0_38_039,axiom,
! [X13,X15,X10,X4] :
( ~ c_in(X15,c_Relation_ODomain(X13,X4,X10),X4)
| c_in(c_Pair(X15,c_Main_ODomainE__1(X15,X13,X4,X10),X4,X10),X13,tc_prod(X4,X10)) ),
file('<stdin>',cls_Relation_ODomainE_0) ).
fof(c_0_39_040,axiom,
! [X13,X14,X10,X4] :
( ~ c_in(X14,c_Relation_ORange(X13,X10,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X14,X13,X4,X10),X14,X10,X4),X13,tc_prod(X10,X4)) ),
file('<stdin>',cls_Relation_ORangeE_0) ).
fof(c_0_40_041,axiom,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Oacyclic(X13,X4)
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| c_in(c_Pair(X26,X30,X4,X4),c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
file('<stdin>',cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0) ).
fof(c_0_41_042,axiom,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Owf(X13,X4)
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| c_in(c_Pair(X26,X30,X4,X4),c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
file('<stdin>',cls_Wellfounded__Recursion_Owf__insert__iff2_0) ).
fof(c_0_42_043,axiom,
! [X13,X14,X15,X10,X4] :
( ~ c_in(X14,c_Relation_OImage(X13,c_insert(X15,c_emptyset,X10),X10,X4),X4)
| c_in(c_Pair(X15,X14,X10,X4),X13,tc_prod(X10,X4)) ),
file('<stdin>',cls_Relation_OImage__singleton__iff__iff1_0) ).
fof(c_0_43_044,axiom,
! [X1,X2,X41] :
( ~ c_Divides_Oop_Advd(X41,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X41,X2,tc_nat) ),
file('<stdin>',cls_GCD_Ogcd__greatest__iff__iff1_0) ).
fof(c_0_44_045,axiom,
! [X1,X2,X41] :
( ~ c_Divides_Oop_Advd(X41,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X41,X1,tc_nat) ),
file('<stdin>',cls_GCD_Ogcd__greatest__iff__iff1_1) ).
fof(c_0_45_046,axiom,
! [X13,X14,X15,X10,X4] :
( ~ c_in(c_Pair(X15,X14,X10,X4),X13,tc_prod(X10,X4))
| c_in(X14,c_Relation_OImage(X13,c_insert(X15,c_emptyset,X10),X10,X4),X4) ),
file('<stdin>',cls_Relation_OImage__singleton__iff__iff2_0) ).
fof(c_0_46_047,axiom,
! [X13,X14,X15,X10,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X10),c_Relation_Oconverse(X13,X10,X4),tc_prod(X4,X10))
| c_in(c_Pair(X14,X15,X10,X4),X13,tc_prod(X10,X4)) ),
file('<stdin>',cls_Relation_Oconverse__iff__iff1_0) ).
fof(c_0_47_048,axiom,
! [X13,X14,X15,X10,X4] :
( ~ c_in(c_Pair(X14,X15,X10,X4),X13,tc_prod(X10,X4))
| c_in(c_Pair(X15,X14,X4,X10),c_Relation_Oconverse(X13,X10,X4),tc_prod(X4,X10)) ),
file('<stdin>',cls_Relation_Oconverse__iff__iff2_0) ).
fof(c_0_48_049,axiom,
! [X13,X14,X15,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X4),c_Transitive__Closure_Otrancl(X13,X4),tc_prod(X4,X4))
| c_in(c_Pair(X15,X14,X4,X4),c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
file('<stdin>',cls_Transitive__Closure_Otrancl__into__rtrancl_0) ).
fof(c_0_49_050,axiom,
! [X13,X14,X15,X19,X10,X4] :
( ~ c_in(X15,X19,X4)
| ~ c_in(c_Pair(X15,X14,X4,X10),X13,tc_prod(X4,X10))
| c_in(X14,c_Relation_OImage(X13,X19,X4,X10),X10) ),
file('<stdin>',cls_Relation_OImageI_0) ).
fof(c_0_50_051,axiom,
! [X25,X13,X10,X4] :
( ~ c_in(X25,c_Relation_Oconverse(X13,X10,X4),tc_prod(X4,X10))
| X25 = c_Pair(c_Main_OconverseE__2(X13,X25,X10,X4),c_Main_OconverseE__1(X13,X25,X10,X4),X4,X10) ),
file('<stdin>',cls_Relation_OconverseE_1) ).
fof(c_0_51_052,axiom,
! [X13,X14,X15,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X4),X13,tc_prod(X4,X4))
| c_in(c_Pair(X15,X14,X4,X4),c_Transitive__Closure_Otrancl(X13,X4),tc_prod(X4,X4)) ),
file('<stdin>',cls_Transitive__Closure_Otrancl_Or__into__trancl_0) ).
fof(c_0_52_053,axiom,
! [X35,X36,X18,X19,X10,X4] :
( ~ c_in(X35,X18,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| ~ c_in(X36,X19,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Datatype__Universe_OScons(X36,X35,X4,X10),c_Datatype__Universe_Ouprod(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
file('<stdin>',cls_Datatype__Universe_OuprodI_0) ).
fof(c_0_53_054,axiom,
! [X1,X2,X41] :
( ~ c_Divides_Oop_Advd(X41,X1,tc_nat)
| ~ c_Divides_Oop_Advd(X41,X2,tc_nat)
| c_Divides_Oop_Advd(X41,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
file('<stdin>',cls_GCD_Ogcd__greatest__iff__iff2_0) ).
fof(c_0_54_055,axiom,
! [X13,X14,X15,X10,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X10),X13,tc_prod(X4,X10))
| c_in(X15,c_Relation_ODomain(X13,X4,X10),X4) ),
file('<stdin>',cls_Relation_ODomainI_0) ).
fof(c_0_55_056,axiom,
! [X13,X14,X15,X10,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X10),X13,tc_prod(X4,X10))
| c_in(X14,c_Relation_ORange(X13,X4,X10),X10) ),
file('<stdin>',cls_Relation_ORangeI_0) ).
fof(c_0_56_057,axiom,
! [X28,X13,X4] :
( ~ c_in(c_Pair(c_List_Olist_ONil,X28,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Olistrel__Nil1_0) ).
fof(c_0_57_058,axiom,
! [X28,X13,X4] :
( ~ c_in(c_Pair(X28,c_List_Olist_ONil,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Olistrel__Nil2_0) ).
fof(c_0_58_059,axiom,
! [X30,X26] :
( ~ c_in(c_Pair(X26,X30,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| c_less(X26,X30,tc_nat) ),
file('<stdin>',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).
fof(c_0_59_060,axiom,
! [X14,X15,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X4),c_Relation_OId,tc_prod(X4,X4))
| X15 = X14 ),
file('<stdin>',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(c_0_60_061,axiom,
! [X36,X18,X19,X10,X4] :
( ~ c_in(X36,X19,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Datatype__Universe_OIn0(X36,X4,X10),c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
file('<stdin>',cls_Datatype__Universe_Ousum__In0I_0) ).
fof(c_0_61_062,axiom,
! [X35,X18,X19,X10,X4] :
( ~ c_in(X35,X18,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Datatype__Universe_OIn1(X35,X4,X10),c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
file('<stdin>',cls_Datatype__Universe_Ousum__In1I_0) ).
fof(c_0_62_063,axiom,
! [X15,X18,X19,X4] :
( ~ c_in(c_minus(X19,c_insert(X15,X18,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_minus(X19,X18,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
file('<stdin>',cls_Finite__Set_Ofinite__Diff__insert__iff1_0) ).
fof(c_0_63_064,axiom,
! [X37,X35,X38,X36,X10,X4] :
( c_Datatype__Universe_OScons(X36,X35,X4,X10) != c_Datatype__Universe_OScons(X38,X37,X4,X10)
| X36 = X38 ),
file('<stdin>',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).
fof(c_0_64_065,axiom,
! [X37,X35,X38,X36,X10,X4] :
( c_Datatype__Universe_OScons(X36,X35,X4,X10) != c_Datatype__Universe_OScons(X38,X37,X4,X10)
| X35 = X37 ),
file('<stdin>',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).
fof(c_0_65_066,axiom,
! [X43,X14,X44,X15,X10,X4] :
( c_Pair(X15,X14,X4,X10) != c_Pair(X44,X43,X4,X10)
| X15 = X44 ),
file('<stdin>',cls_Product__Type_OPair__eq__iff1_0) ).
fof(c_0_66_067,axiom,
! [X43,X14,X44,X15,X10,X4] :
( c_Pair(X15,X14,X4,X10) != c_Pair(X44,X43,X4,X10)
| X14 = X43 ),
file('<stdin>',cls_Product__Type_OPair__eq__iff1_1) ).
fof(c_0_67_068,axiom,
! [X15,X18,X19,X10,X4] :
( ~ c_in(X15,X19,X4)
| c_in(c_Sum__Type_OInl(X15,X4,X10),c_Sum__Type_OPlus(X19,X18,X4,X10),tc_sum(X4,X10)) ),
file('<stdin>',cls_Sum__Type_OInlI_0) ).
fof(c_0_68_069,axiom,
! [X14,X18,X19,X10,X4] :
( ~ c_in(X14,X18,X4)
| c_in(c_Sum__Type_OInr(X14,X4,X10),c_Sum__Type_OPlus(X19,X18,X10,X4),tc_sum(X10,X4)) ),
file('<stdin>',cls_Sum__Type_OInrI_0) ).
fof(c_0_69_070,axiom,
! [X15,X19,X4] :
( ~ c_in(X15,X19,X4)
| c_in(c_Pair(X15,X15,X4,X4),c_Relation_Odiag(X19,X4),tc_prod(X4,X4)) ),
file('<stdin>',cls_Relation_OdiagI_0) ).
fof(c_0_70_071,axiom,
! [X15,X18,X19,X4] :
( ~ c_in(c_minus(X19,X18,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_minus(X19,c_insert(X15,X18,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
file('<stdin>',cls_Finite__Set_Ofinite__Diff__insert__iff2_0) ).
fof(c_0_71_072,axiom,
! [X30,X26] :
( ~ c_less(X26,X30,tc_nat)
| c_in(c_Pair(X26,X30,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('<stdin>',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).
fof(c_0_72_073,axiom,
! [X20,X19,X4] :
( ~ c_in(X20,c_Relation_Odiag(X19,X4),tc_prod(X4,X4))
| X20 = c_Pair(c_Main_OdiagE__1(X19,X20,X4),c_Main_OdiagE__1(X19,X20,X4),X4,X4) ),
file('<stdin>',cls_Relation_OdiagE_0) ).
fof(c_0_73_074,axiom,
! [X1,X2,X3,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| X1 = X2 ),
file('<stdin>',cls_Zorn_OTFin__subsetD_0) ).
fof(c_0_74_075,axiom,
! [X11,X12,X10,X4] :
( ~ c_Relation_Otrans(X11,X10)
| ~ c_Relation_Otrans(X12,X4)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X12,X11,X4,X10),tc_prod(X4,X10)) ),
file('<stdin>',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).
fof(c_0_75_076,axiom,
! [X8,X9,X10,X4] :
( ~ c_Wellfounded__Recursion_Owf(X8,X10)
| ~ c_Wellfounded__Recursion_Owf(X9,X4)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X9,X8,X4,X10),tc_prod(X4,X10)) ),
file('<stdin>',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
fof(c_0_76_077,axiom,
! [X29,X30,X28,X26,X4] :
( c_append(X28,c_List_Olist_OCons(X26,c_List_Olist_ONil,X4),X4) != c_append(X29,c_List_Olist_OCons(X30,c_List_Olist_ONil,X4),X4)
| X28 = X29 ),
file('<stdin>',cls_List_Oappend1__eq__conv__iff1_0) ).
fof(c_0_77_078,axiom,
! [X29,X30,X28,X26,X4] :
( c_append(X28,c_List_Olist_OCons(X26,c_List_Olist_ONil,X4),X4) != c_append(X29,c_List_Olist_OCons(X30,c_List_Olist_ONil,X4),X4)
| X26 = X30 ),
file('<stdin>',cls_List_Oappend1__eq__conv__iff1_1) ).
fof(c_0_78_079,axiom,
! [X29,X28,X19,X4] :
( ~ c_in(X29,c_List_Olists(X19,X4),tc_List_Olist(X4))
| ~ c_in(X28,c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(c_append(X28,X29,X4),c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
file('<stdin>',cls_List_Oappend__in__lists__conv__iff2_0) ).
fof(c_0_79_080,axiom,
! [X13,X10,X4] :
( ~ c_in(c_Relation_Oconverse(X13,X10,X4),c_Finite__Set_OFinites,tc_set(tc_prod(X4,X10)))
| c_in(X13,c_Finite__Set_OFinites,tc_set(tc_prod(X10,X4))) ),
file('<stdin>',cls_Finite__Set_Ofinite__converse__iff1_0) ).
fof(c_0_80_081,axiom,
! [X16,X4] :
( ~ c_in(X16,c_Relation_OId,tc_prod(X4,X4))
| X16 = c_Pair(c_Main_OIdE__1(X16,X4),c_Main_OIdE__1(X16,X4),X4,X4) ),
file('<stdin>',cls_Relation_OIdE_0) ).
fof(c_0_81_082,axiom,
! [X27,X15,X19,X4] :
( ~ c_in(X15,X19,X4)
| ~ c_in(X27,c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(c_List_Olist_OCons(X15,X27,X4),c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
file('<stdin>',cls_List_Olists_OCons_0) ).
fof(c_0_82_083,axiom,
! [X13,X10,X4] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(tc_prod(X10,X4)))
| c_in(c_Relation_Oconverse(X13,X10,X4),c_Finite__Set_OFinites,tc_set(tc_prod(X4,X10))) ),
file('<stdin>',cls_Finite__Set_Ofinite__converse__iff2_0) ).
fof(c_0_83_084,axiom,
! [X29,X28,X19,X4] :
( ~ c_in(c_append(X28,X29,X4),c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(X28,c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
file('<stdin>',cls_List_Oappend__in__lists__conv__iff1_0) ).
fof(c_0_84_085,axiom,
! [X29,X28,X19,X4] :
( ~ c_in(c_append(X28,X29,X4),c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(X29,c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
file('<stdin>',cls_List_Oappend__in__lists__conv__iff1_1) ).
fof(c_0_85_086,axiom,
! [X26,X27,X19,X4] :
( ~ c_in(c_List_Olist_OCons(X26,X27,X4),c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(X27,c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
file('<stdin>',cls_List_OlistsE_0) ).
fof(c_0_86_087,axiom,
! [X26,X19,X4] :
( ~ c_lessequals(X19,c_insert(X26,c_emptyset,X4),tc_set(X4))
| c_insert(X26,X19,X4) = c_insert(X26,c_emptyset,X4) ),
file('<stdin>',cls_Set_Osingleton__insert__inj__eq_H__iff2_0) ).
fof(c_0_87_088,axiom,
! [X26,X19,X4] :
( ~ c_lessequals(X19,c_insert(X26,c_emptyset,X4),tc_set(X4))
| c_insert(X26,c_emptyset,X4) = c_insert(X26,X19,X4) ),
file('<stdin>',cls_Set_Osingleton__insert__inj__eq__iff2_0) ).
fof(c_0_88_089,axiom,
! [X20,X18,X19,X4] :
( ~ c_in(X20,c_union(X19,X18,X4),X4)
| c_in(X20,X18,X4)
| c_in(X20,X19,X4) ),
file('<stdin>',cls_Set_OUnE_0) ).
fof(c_0_89_090,axiom,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X18,X4)
| ~ c_in(X20,c_minus(X19,X18,tc_set(X4)),X4) ),
file('<stdin>',cls_Set_ODiffE_0) ).
fof(c_0_90_091,axiom,
! [X26,X27,X19,X4] :
( ~ c_in(c_List_Olist_OCons(X26,X27,X4),c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(X26,X19,X4) ),
file('<stdin>',cls_List_OlistsE_1) ).
fof(c_0_91_092,axiom,
! [X33,X34,X4] :
( ~ c_in(X33,c_Finite__Set_OFinites,tc_set(X4))
| ~ c_in(X34,c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_union(X34,X33,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
file('<stdin>',cls_Finite__Set_Ofinite__Un__iff2_0) ).
fof(c_0_92_093,axiom,
! [X1,X2] :
( ~ c_less(c_0,c_plus(X2,X1,tc_nat),tc_nat)
| c_less(c_0,X1,tc_nat)
| c_less(c_0,X2,tc_nat) ),
file('<stdin>',cls_Nat_Oadd__gr__0__iff1_0) ).
fof(c_0_93_094,axiom,
! [X28,X19,X4] :
( ~ c_in(c_Main_Oin__listsI__1(X19,X28,X4),X19,X4)
| c_in(X28,c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
file('<stdin>',cls_List_Oin__listsI_1) ).
fof(c_0_94_095,axiom,
! [X21,X19,X4] :
( ~ c_in(X19,c_Main_OInterI__1(X19,X21,X4),X4)
| c_in(X19,c_Inter(X21,X4),X4) ),
file('<stdin>',cls_Set_OInterI_1) ).
fof(c_0_95_096,axiom,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X18,X4)
| ~ c_in(X20,X19,X4)
| c_in(X20,c_inter(X19,X18,X4),X4) ),
file('<stdin>',cls_Set_OIntI_0) ).
fof(c_0_96_097,axiom,
! [X14,X15,X19,X4] :
( c_insert(X15,X19,X4) != c_insert(X14,c_emptyset,X4)
| c_lessequals(X19,c_insert(X14,c_emptyset,X4),tc_set(X4)) ),
file('<stdin>',cls_Set_Osingleton__insert__inj__eq_H__iff1_1) ).
fof(c_0_97_098,axiom,
! [X14,X15,X19,X4] :
( c_insert(X14,c_emptyset,X4) != c_insert(X15,X19,X4)
| c_lessequals(X19,c_insert(X14,c_emptyset,X4),tc_set(X4)) ),
file('<stdin>',cls_Set_Osingleton__insert__inj__eq__iff1_1) ).
fof(c_0_98_099,axiom,
! [X19,X4] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(tc_set(X4)))
| ~ c_in(c_Main_Ofinite__Union__1(X19,X4),c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_Union(X19,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
file('<stdin>',cls_Finite__Set_Ofinite__Union_1) ).
fof(c_0_99_100,axiom,
! [X20,X19,X4] :
( ~ c_in(X20,c_Relation_Odiag(X19,X4),tc_prod(X4,X4))
| c_in(c_Main_OdiagE__1(X19,X20,X4),X19,X4) ),
file('<stdin>',cls_Relation_OdiagE_1) ).
fof(c_0_100_101,axiom,
! [X20,X18,X19,X4] :
( ~ c_in(X20,c_minus(X19,X18,tc_set(X4)),X4)
| c_in(X20,X19,X4) ),
file('<stdin>',cls_Set_ODiffE_1) ).
fof(c_0_101_102,axiom,
! [X33,X34,X4] :
( ~ c_in(c_union(X34,X33,X4),c_Finite__Set_OFinites,tc_set(X4))
| c_in(X34,c_Finite__Set_OFinites,tc_set(X4)) ),
file('<stdin>',cls_Finite__Set_Ofinite__Un__iff1_0) ).
fof(c_0_102_103,axiom,
! [X33,X34,X4] :
( ~ c_in(c_union(X34,X33,X4),c_Finite__Set_OFinites,tc_set(X4))
| c_in(X33,c_Finite__Set_OFinites,tc_set(X4)) ),
file('<stdin>',cls_Finite__Set_Ofinite__Un__iff1_1) ).
fof(c_0_103_104,axiom,
! [X28,X31,X19,X4] :
( ~ c_in(X28,c_List_Olists(X19,X4),tc_List_Olist(X4))
| ~ c_in(X31,c_List_Oset(X28,X4),X4)
| c_in(X31,X19,X4) ),
file('<stdin>',cls_List_Oin__listsD__dest_0) ).
fof(c_0_104_105,axiom,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X19,X4)
| c_in(X20,X18,X4)
| c_in(X20,c_minus(X19,X18,tc_set(X4)),X4) ),
file('<stdin>',cls_Set_ODiffI_0) ).
fof(c_0_105_106,axiom,
! [X18,X19,X4] :
( ~ c_in(c_Main_OsubsetI__1(X19,X18,X4),X18,X4)
| c_lessequals(X19,X18,tc_set(X4)) ),
file('<stdin>',cls_Set_OsubsetI_1) ).
fof(c_0_106_107,axiom,
! [X14,X15,X19,X4] :
( ~ c_in(X15,c_insert(X14,X19,X4),X4)
| c_in(X15,X19,X4)
| X15 = X14 ),
file('<stdin>',cls_Set_OinsertE_0) ).
fof(c_0_107_108,axiom,
! [X20,X18,X19,X4] :
( ~ c_in(X20,c_inter(X19,X18,X4),X4)
| c_in(X20,X18,X4) ),
file('<stdin>',cls_Set_OIntE_0) ).
fof(c_0_108_109,axiom,
! [X20,X18,X19,X4] :
( ~ c_in(X20,c_inter(X19,X18,X4),X4)
| c_in(X20,X19,X4) ),
file('<stdin>',cls_Set_OIntE_1) ).
fof(c_0_109_110,axiom,
! [X21,X19,X4] :
( ~ c_in(X19,c_Union(X21,X4),X4)
| c_in(c_Main_OUnionE__1(X19,X21,X4),X21,tc_set(X4)) ),
file('<stdin>',cls_Set_OUnionE_0) ).
fof(c_0_110_111,axiom,
! [X29,X30,X28,X4] :
( c_List_Orev(X28,X4) != c_List_Olist_OCons(X30,X29,X4)
| X28 = c_append(c_List_Orev(X29,X4),c_List_Olist_OCons(X30,c_List_Olist_ONil,X4),X4) ),
file('<stdin>',cls_List_Orev__eq__Cons__iff__iff1_0) ).
fof(c_0_111_112,axiom,
! [X21,X19,X4] :
( ~ c_in(X19,c_Union(X21,X4),X4)
| c_in(X19,c_Main_OUnionE__1(X19,X21,X4),X4) ),
file('<stdin>',cls_Set_OUnionE_1) ).
fof(c_0_112_113,axiom,
! [X19,X4] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(tc_set(X4)))
| c_in(c_Main_Ofinite__Union__1(X19,X4),X19,tc_set(X4))
| c_in(c_Union(X19,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
file('<stdin>',cls_Finite__Set_Ofinite__Union_0) ).
fof(c_0_113_114,axiom,
! [X40,X21,X19,X4] :
( ~ c_in(X40,X21,tc_set(X4))
| ~ c_in(X19,c_Inter(X21,X4),X4)
| c_in(X19,X40,X4) ),
file('<stdin>',cls_Set_OInterD_0) ).
fof(c_0_114_115,axiom,
! [X18,X19,X4] :
( ~ c_lessequals(c_uminus(X19,tc_set(X4)),c_uminus(X18,tc_set(X4)),tc_set(X4))
| c_lessequals(X18,X19,tc_set(X4)) ),
file('<stdin>',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
fof(c_0_115_116,axiom,
! [X28,X19,X4] :
( c_in(X28,c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(c_Main_Oin__listsI__1(X19,X28,X4),c_List_Oset(X28,X4),X4) ),
file('<stdin>',cls_List_Oin__listsI_0) ).
fof(c_0_116_117,axiom,
! [X40,X21,X19,X4] :
( ~ c_in(X19,X40,X4)
| ~ c_in(X40,X21,tc_set(X4))
| c_in(X19,c_Union(X21,X4),X4) ),
file('<stdin>',cls_Set_OUnionI_0) ).
fof(c_0_117_118,axiom,
! [X15,X19,X4] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_insert(X15,X19,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
file('<stdin>',cls_Finite__Set_OFinites_OinsertI_0) ).
fof(c_0_118_119,axiom,
! [X33,X34,X4] :
( ~ c_in(X34,c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_inter(X34,X33,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
file('<stdin>',cls_Finite__Set_Ofinite__Int_0) ).
fof(c_0_119_120,axiom,
! [X33,X34,X4] :
( ~ c_in(X33,c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_inter(X34,X33,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
file('<stdin>',cls_Finite__Set_Ofinite__Int_1) ).
fof(c_0_120_121,axiom,
! [X14,X15,X4] :
( ~ c_in(X14,c_insert(X15,c_emptyset,X4),X4)
| X14 = X15 ),
file('<stdin>',cls_Set_OsingletonD__dest_0) ).
fof(c_0_121_122,axiom,
! [X21,X19,X4] :
( c_in(X19,c_Inter(X21,X4),X4)
| c_in(c_Main_OInterI__1(X19,X21,X4),X21,tc_set(X4)) ),
file('<stdin>',cls_Set_OInterI_0) ).
fof(c_0_122_123,axiom,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X18,X4)
| c_in(X20,c_union(X19,X18,X4),X4) ),
file('<stdin>',cls_Set_OUnCI_0) ).
fof(c_0_123_124,axiom,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X19,X4)
| c_in(X20,c_union(X19,X18,X4),X4) ),
file('<stdin>',cls_Set_OUnCI_1) ).
fof(c_0_124_125,axiom,
! [X14,X15,X18,X4] :
( ~ c_in(X15,X18,X4)
| c_in(X15,c_insert(X14,X18,X4),X4) ),
file('<stdin>',cls_Set_OinsertCI_0) ).
fof(c_0_125_126,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_lessequals(c_SetInterval_OatLeast(X26,X4),c_SetInterval_OatLeast(X30,X4),tc_set(X4))
| c_lessequals(X30,X26,X4) ),
file('<stdin>',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).
fof(c_0_126_127,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_lessequals(c_SetInterval_OatMost(X26,X4),c_SetInterval_OatMost(X30,X4),tc_set(X4))
| c_lessequals(X26,X30,X4) ),
file('<stdin>',cls_SetInterval_OatMost__subset__iff__iff1_0) ).
fof(c_0_127_128,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X26,X4),c_SetInterval_OgreaterThan(X30,X4),tc_set(X4))
| c_lessequals(X30,X26,X4) ),
file('<stdin>',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
fof(c_0_128_129,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(c_SetInterval_OlessThan(X26,X4),c_SetInterval_OlessThan(X30,X4),tc_set(X4))
| c_lessequals(X26,X30,X4) ),
file('<stdin>',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).
fof(c_0_129_130,axiom,
! [X1,X2] :
( ~ c_less(c_0,X2,tc_nat)
| c_less(c_0,c_plus(X2,X1,tc_nat),tc_nat) ),
file('<stdin>',cls_Nat_Oadd__gr__0__iff2_0) ).
fof(c_0_130_131,axiom,
! [X1,X2] :
( ~ c_less(c_0,X1,tc_nat)
| c_less(c_0,c_plus(X2,X1,tc_nat),tc_nat) ),
file('<stdin>',cls_Nat_Oadd__gr__0__iff2_1) ).
fof(c_0_131_132,axiom,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X19,X4)
| ~ c_lessequals(X19,X18,tc_set(X4))
| c_in(X20,X18,X4) ),
file('<stdin>',cls_Set_OsubsetD_0) ).
fof(c_0_132_133,axiom,
! [X13,X16,X4] :
( ~ c_in(X16,X13,tc_prod(X4,X4))
| c_in(X16,c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
file('<stdin>',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(c_0_133_134,axiom,
! [X18,X19,X4] :
( ~ c_lessequals(X18,X19,tc_set(X4))
| c_lessequals(c_uminus(X19,tc_set(X4)),c_uminus(X18,tc_set(X4)),tc_set(X4)) ),
file('<stdin>',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
fof(c_0_134_135,axiom,
! [X20,X19,X4] :
( ~ c_in(X20,X19,X4)
| ~ c_in(X20,c_uminus(X19,tc_set(X4)),X4) ),
file('<stdin>',cls_Set_OComplD__dest_0) ).
fof(c_0_135_136,axiom,
! [X18,X19,X4] :
( c_in(c_Main_OsubsetI__1(X19,X18,X4),X19,X4)
| c_lessequals(X19,X18,tc_set(X4)) ),
file('<stdin>',cls_Set_OsubsetI_0) ).
fof(c_0_136_137,axiom,
! [X19,X4] :
( ~ c_in(c_Pow(X19,X4),c_Finite__Set_OFinites,tc_set(tc_set(X4)))
| c_in(X19,c_Finite__Set_OFinites,tc_set(X4)) ),
file('<stdin>',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).
fof(c_0_137_138,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_lessequals(X30,X26,X4)
| c_lessequals(c_SetInterval_OatLeast(X26,X4),c_SetInterval_OatLeast(X30,X4),tc_set(X4)) ),
file('<stdin>',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).
fof(c_0_138_139,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_lessequals(X26,X30,X4)
| c_lessequals(c_SetInterval_OatMost(X26,X4),c_SetInterval_OatMost(X30,X4),tc_set(X4)) ),
file('<stdin>',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
fof(c_0_139_140,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X30,X26,X4)
| c_lessequals(c_SetInterval_OgreaterThan(X26,X4),c_SetInterval_OgreaterThan(X30,X4),tc_set(X4)) ),
file('<stdin>',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).
fof(c_0_140_141,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X26,X30,X4)
| c_lessequals(c_SetInterval_OlessThan(X26,X4),c_SetInterval_OlessThan(X30,X4),tc_set(X4)) ),
file('<stdin>',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).
fof(c_0_141_142,axiom,
! [X13,X4] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X13,X4,X4),X4)
| c_Wellfounded__Recursion_Oacyclic(X13,X4) ),
file('<stdin>',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).
fof(c_0_142_143,axiom,
! [X18,X19,X4] :
( ~ c_in(X19,c_Pow(X18,X4),tc_set(X4))
| c_lessequals(X19,X18,tc_set(X4)) ),
file('<stdin>',cls_Set_OPow__iff__iff1_0) ).
fof(c_0_143_144,axiom,
! [X30,X26,X3,X4] :
( ~ c_Infinite__Set_Oatmost__one(X3,X4)
| ~ c_in(X30,X3,X4)
| ~ c_in(X26,X3,X4)
| X30 = X26 ),
file('<stdin>',cls_Infinite__Set_Oatmost__one__unique_0) ).
fof(c_0_144_145,axiom,
! [X18,X19,X4] :
( ~ c_lessequals(X18,X19,tc_set(X4))
| ~ c_lessequals(X19,X18,tc_set(X4))
| X19 = X18 ),
file('<stdin>',cls_Set_Osubset__antisym_0) ).
fof(c_0_145_146,axiom,
! [X18,X19,X4] :
( ~ c_less(X19,X18,tc_set(X4))
| ~ c_lessequals(X18,X19,tc_set(X4)) ),
file('<stdin>',cls_Set_OpsubsetE_0) ).
fof(c_0_146_147,axiom,
! [X19,X4] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_Pow(X19,X4),c_Finite__Set_OFinites,tc_set(tc_set(X4))) ),
file('<stdin>',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).
fof(c_0_147_148,axiom,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_in(X42,c_SetInterval_OatLeast(X41,X4),X4)
| c_lessequals(X41,X42,X4) ),
file('<stdin>',cls_SetInterval_OatLeast__iff__iff1_0) ).
fof(c_0_148_149,axiom,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_in(X42,c_SetInterval_OatMost(X41,X4),X4)
| c_lessequals(X42,X41,X4) ),
file('<stdin>',cls_SetInterval_OatMost__iff__iff1_0) ).
fof(c_0_149_150,axiom,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_in(X42,c_SetInterval_OgreaterThan(X41,X4),X4)
| c_less(X41,X42,X4) ),
file('<stdin>',cls_SetInterval_OgreaterThan__iff__iff1_0) ).
fof(c_0_150_151,axiom,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_in(X42,c_SetInterval_OlessThan(X41,X4),X4)
| c_less(X42,X41,X4) ),
file('<stdin>',cls_SetInterval_OlessThan__iff__iff1_0) ).
fof(c_0_151_152,axiom,
! [X18,X19,X4] :
( ~ c_lessequals(X19,X18,tc_set(X4))
| c_in(X19,c_Pow(X18,X4),tc_set(X4)) ),
file('<stdin>',cls_Set_OPow__iff__iff2_0) ).
fof(c_0_152_153,axiom,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_lessequals(X41,X42,X4)
| c_in(X42,c_SetInterval_OatLeast(X41,X4),X4) ),
file('<stdin>',cls_SetInterval_OatLeast__iff__iff2_0) ).
fof(c_0_153_154,axiom,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_lessequals(X42,X41,X4)
| c_in(X42,c_SetInterval_OatMost(X41,X4),X4) ),
file('<stdin>',cls_SetInterval_OatMost__iff__iff2_0) ).
fof(c_0_154_155,axiom,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_less(X41,X42,X4)
| c_in(X42,c_SetInterval_OgreaterThan(X41,X4),X4) ),
file('<stdin>',cls_SetInterval_OgreaterThan__iff__iff2_0) ).
fof(c_0_155_156,axiom,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_less(X42,X41,X4)
| c_in(X42,c_SetInterval_OlessThan(X41,X4),X4) ),
file('<stdin>',cls_SetInterval_OlessThan__iff__iff2_0) ).
fof(c_0_156_157,axiom,
! [X14,X15,X10,X4] :
( c_Datatype__Universe_OAtom(X15,X4,X10) != c_Datatype__Universe_OAtom(X14,X4,X10)
| X15 = X14 ),
file('<stdin>',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).
fof(c_0_157_158,axiom,
! [X35,X36,X10,X4] :
( c_Datatype__Universe_OIn0(X36,X4,X10) != c_Datatype__Universe_OIn0(X35,X4,X10)
| X36 = X35 ),
file('<stdin>',cls_Datatype__Universe_OIn0__eq__iff1_0) ).
fof(c_0_158_159,axiom,
! [X35,X36,X10,X4] :
( c_Datatype__Universe_OIn1(X36,X4,X10) != c_Datatype__Universe_OIn1(X35,X4,X10)
| X36 = X35 ),
file('<stdin>',cls_Datatype__Universe_OIn1__eq__iff1_0) ).
fof(c_0_159_160,axiom,
! [X45,X29,X28,X4] :
( c_append(X29,X28,X4) != c_append(X45,X28,X4)
| X29 = X45 ),
file('<stdin>',cls_List_Oappend__same__eq__iff1_0) ).
fof(c_0_160_161,axiom,
! [X46,X47,X44,X15,X4] :
( c_List_Olist_OCons(X15,X47,X4) != c_List_Olist_OCons(X44,X46,X4)
| X15 = X44 ),
file('<stdin>',cls_List_Olist_Oinject__iff1_0) ).
fof(c_0_161_162,axiom,
! [X46,X47,X44,X15,X4] :
( c_List_Olist_OCons(X15,X47,X4) != c_List_Olist_OCons(X44,X46,X4)
| X47 = X46 ),
file('<stdin>',cls_List_Olist_Oinject__iff1_1) ).
fof(c_0_162_163,axiom,
! [X45,X29,X28,X4] :
( c_append(X28,X29,X4) != c_append(X28,X45,X4)
| X29 = X45 ),
file('<stdin>',cls_List_Osame__append__eq__iff1_0) ).
fof(c_0_163_164,axiom,
! [X30,X26,X10,X4] :
( c_Sum__Type_OInl(X26,X4,X10) != c_Sum__Type_OInl(X30,X4,X10)
| X26 = X30 ),
file('<stdin>',cls_Sum__Type_OInl__eq__iff1_0) ).
fof(c_0_164_165,axiom,
! [X30,X26,X10,X4] :
( c_Sum__Type_OInr(X26,X10,X4) != c_Sum__Type_OInr(X30,X10,X4)
| X26 = X30 ),
file('<stdin>',cls_Sum__Type_OInr__eq__iff1_0) ).
fof(c_0_165_166,axiom,
! [X30,X26,X10,X4] :
( c_Datatype__Universe_OLeaf(X26,X4,X10) != c_Datatype__Universe_OLeaf(X30,X4,X10)
| X26 = X30 ),
file('<stdin>',cls_Datatype__Universe_OLeaf__inject__dest_0) ).
fof(c_0_166_167,axiom,
! [X30,X26,X10,X4] :
( c_Datatype__Universe_ONumb(X26,X4,X10) != c_Datatype__Universe_ONumb(X30,X4,X10)
| X26 = X30 ),
file('<stdin>',cls_Datatype__Universe_ONumb__inject__dest_0) ).
fof(c_0_167_168,axiom,
! [X52,X39] :
( ~ c_Divides_Oop_Advd(X52,c_uminus(X39,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(X52,X39,tc_IntDef_Oint) ),
file('<stdin>',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
fof(c_0_168_169,axiom,
! [X52,X39] :
( ~ c_Divides_Oop_Advd(c_uminus(X52,tc_IntDef_Oint),X39,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X52,X39,tc_IntDef_Oint) ),
file('<stdin>',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
fof(c_0_169_170,axiom,
! [X14,X15,X19,X4] :
( c_insert(X15,X19,X4) != c_insert(X14,c_emptyset,X4)
| X15 = X14 ),
file('<stdin>',cls_Set_Osingleton__insert__inj__eq_H__iff1_0) ).
fof(c_0_170_171,axiom,
! [X14,X15,X19,X4] :
( c_insert(X14,c_emptyset,X4) != c_insert(X15,X19,X4)
| X15 = X14 ),
file('<stdin>',cls_Set_Osingleton__insert__inj__eq__iff1_0) ).
fof(c_0_171_172,axiom,
! [X14,X15,X4] :
( c_insert(X15,c_emptyset,X4) != c_insert(X14,c_emptyset,X4)
| X15 = X14 ),
file('<stdin>',cls_Set_Osingleton__inject__dest_0) ).
fof(c_0_172_173,axiom,
! [X2,X32] :
( c_Divides_Oop_Amod(X2,X32,tc_nat) != c_0
| X2 = c_times(X32,c_Main_Omod__eq__0D__dest__1(X32,X2),tc_nat) ),
file('<stdin>',cls_Divides_Omod__eq__0D__dest_0) ).
fof(c_0_173_174,axiom,
! [X2,X32] :
( c_Divides_Oop_Amod(X2,X32,tc_IntDef_Oint) != c_0
| X2 = c_times(X32,c_Main_Ozmod__eq__0D__dest__1(X32,X2),tc_IntDef_Oint) ),
file('<stdin>',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(c_0_174_175,axiom,
! [X52,X39] :
( ~ c_Divides_Oop_Advd(X52,X39,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X52,c_uminus(X39,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('<stdin>',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
fof(c_0_175_176,axiom,
! [X52,X39] :
( ~ c_Divides_Oop_Advd(X52,X39,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X52,tc_IntDef_Oint),X39,tc_IntDef_Oint) ),
file('<stdin>',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
fof(c_0_176_177,axiom,
! [X18,X19,X4] :
( ~ c_lessequals(X19,X18,tc_set(X4))
| c_less(X19,X18,tc_set(X4))
| X19 = X18 ),
file('<stdin>',cls_Set_OpsubsetI_0) ).
fof(c_0_177_178,axiom,
! [X18,X19,X4] :
( ~ c_less(X19,X18,tc_set(X4))
| c_lessequals(X19,X18,tc_set(X4)) ),
file('<stdin>',cls_Set_OpsubsetE_1) ).
fof(c_0_178_179,axiom,
! [X1,X2] :
( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
file('<stdin>',cls_Nat_OSuc__le__mono__iff1_0) ).
fof(c_0_179_180,axiom,
! [X1,X2] :
( ~ c_less(c_Suc(X2),c_Suc(X1),tc_nat)
| c_less(X2,X1,tc_nat) ),
file('<stdin>',cls_Nat_OSuc__less__eq__iff1_0) ).
fof(c_0_180_181,axiom,
! [X1,X2] :
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
file('<stdin>',cls_Nat_OSuc__le__mono__iff2_0) ).
fof(c_0_181_182,axiom,
! [X1,X2] :
( ~ c_less(X2,X1,tc_nat)
| c_less(c_Suc(X2),c_Suc(X1),tc_nat) ),
file('<stdin>',cls_Nat_OSuc__less__eq__iff2_0) ).
fof(c_0_182_183,axiom,
! [X20,X19,X4] :
( c_in(X20,X19,X4)
| c_in(X20,c_uminus(X19,tc_set(X4)),X4) ),
file('<stdin>',cls_Set_OComplI_0) ).
fof(c_0_183_184,axiom,
! [X13,X4] :
( ~ c_Wellfounded__Recursion_Oacyclic(X13,X4)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X13,X4,X4),X4) ),
file('<stdin>',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).
fof(c_0_184_185,axiom,
! [X53,X26,X4] :
( ~ c_in(X26,c_Datatype_Oo2s(X53,X4),X4)
| X53 = c_Datatype_Ooption_OSome(X26,X4) ),
file('<stdin>',cls_Datatype_Oelem__o2s__iff1_0) ).
fof(c_0_185_186,axiom,
! [X28,X4] :
( c_Nat_Osize(c_List_Oremdups(X28,X4),tc_List_Olist(X4)) != c_Nat_Osize(X28,tc_List_Olist(X4))
| c_List_Oremdups(X28,X4) = X28 ),
file('<stdin>',cls_List_Olength__remdups__eq__iff1_0) ).
fof(c_0_186_187,axiom,
! [X26,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_less(X26,X26,X4) ),
file('<stdin>',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(c_0_187_188,axiom,
! [X28,X4] :
( c_less(c_0,c_Nat_Osize(X28,tc_List_Olist(X4)),tc_nat)
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Olength__greater__0__conv__iff2_0) ).
fof(c_0_188_189,axiom,
! [X28,X4] :
( c_List_Oremdups(X28,X4) != X28
| c_Nat_Osize(c_List_Oremdups(X28,X4),tc_List_Olist(X4)) = c_Nat_Osize(X28,tc_List_Olist(X4)) ),
file('<stdin>',cls_List_Olength__remdups__eq__iff2_0) ).
fof(c_0_189_190,axiom,
! [X1] :
( ~ c_less(X1,c_Suc(c_0),tc_nat)
| X1 = c_0 ),
file('<stdin>',cls_Nat_Oless__Suc0__iff1_0) ).
fof(c_0_190_191,axiom,
! [X29,X28,X4] :
( c_append(X28,X29,X4) != X29
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Oappend__self__conv2__iff1_0) ).
fof(c_0_191_192,axiom,
! [X29,X28,X4] :
( c_append(X28,X29,X4) != X28
| X29 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Oappend__self__conv__iff1_0) ).
fof(c_0_192_193,axiom,
! [X29,X28,X4] :
( X29 != c_append(X28,X29,X4)
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Oself__append__conv2__iff1_0) ).
fof(c_0_193_194,axiom,
! [X29,X28,X4] :
( X28 != c_append(X28,X29,X4)
| X29 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Oself__append__conv__iff1_0) ).
fof(c_0_194_195,axiom,
! [X13,X19,X4] :
( c_emptyset != c_Equiv__Relations_Oquotient(X19,X13,X4)
| X19 = c_emptyset ),
file('<stdin>',cls_Equiv__Relations_Oquotient__is__empty2__iff1_0) ).
fof(c_0_195_196,axiom,
! [X13,X19,X4] :
( c_Equiv__Relations_Oquotient(X19,X13,X4) != c_emptyset
| X19 = c_emptyset ),
file('<stdin>',cls_Equiv__Relations_Oquotient__is__empty__iff1_0) ).
fof(c_0_196_197,axiom,
! [X29,X28,X4] :
( c_List_Olist_ONil != c_append(X28,X29,X4)
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_ONil__is__append__conv__iff1_0) ).
fof(c_0_197_198,axiom,
! [X29,X28,X4] :
( c_List_Olist_ONil != c_append(X28,X29,X4)
| X29 = c_List_Olist_ONil ),
file('<stdin>',cls_List_ONil__is__append__conv__iff1_1) ).
fof(c_0_198_199,axiom,
! [X29,X28,X4] :
( c_append(X28,X29,X4) != c_List_Olist_ONil
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Oappend__is__Nil__conv__iff1_0) ).
fof(c_0_199_200,axiom,
! [X29,X28,X4] :
( c_append(X28,X29,X4) != c_List_Olist_ONil
| X29 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Oappend__is__Nil__conv__iff1_1) ).
fof(c_0_200_201,axiom,
! [X18,X19,X4] :
( c_union(X19,X18,X4) != c_emptyset
| X19 = c_emptyset ),
file('<stdin>',cls_Set_OUn__empty__iff1_0) ).
fof(c_0_201_202,axiom,
! [X18,X19,X4] :
( c_union(X19,X18,X4) != c_emptyset
| X18 = c_emptyset ),
file('<stdin>',cls_Set_OUn__empty__iff1_1) ).
fof(c_0_202_203,axiom,
! [X1,X2] :
( c_plus(X2,X1,tc_nat) != c_0
| X2 = c_0 ),
file('<stdin>',cls_Nat_Oadd__is__0__iff1_0) ).
fof(c_0_203_204,axiom,
! [X1,X2] :
( c_plus(X2,X1,tc_nat) != c_0
| X1 = c_0 ),
file('<stdin>',cls_Nat_Oadd__is__0__iff1_1) ).
fof(c_0_204_205,axiom,
! [X2] :
( ~ c_Divides_Oop_Advd(c_0,X2,tc_nat)
| X2 = c_0 ),
file('<stdin>',cls_Divides_Odvd__0__left__iff__iff1_0) ).
fof(c_0_205_206,axiom,
! [X2] :
( ~ c_Divides_Oop_Advd(c_0,X2,tc_IntDef_Oint)
| X2 = c_0 ),
file('<stdin>',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
fof(c_0_206_207,axiom,
! [X42] :
( ~ c_lessequals(X42,c_0,tc_nat)
| X42 = c_0 ),
file('<stdin>',cls_Nat_Ole__0__eq__iff1_0) ).
fof(c_0_207_208,axiom,
! [X1] :
( ~ c_less(X1,c_1,tc_nat)
| X1 = c_0 ),
file('<stdin>',cls_Nat_Oless__one__iff1_0) ).
fof(c_0_208_209,axiom,
! [X13,X4] :
( ~ c_Wellfounded__Recursion_Owf(X13,X4)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X13,X4),tc_List_Olist(X4)) ),
file('<stdin>',cls_List_Owf__lenlex_0) ).
fof(c_0_209_210,axiom,
! [X13,X4] :
( ~ c_Wellfounded__Recursion_Owf(X13,X4)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X13,X4),tc_List_Olist(X4)) ),
file('<stdin>',cls_List_Owf__lex_0) ).
fof(c_0_210_211,axiom,
! [X18,X19,X4] :
( c_uminus(X19,tc_set(X4)) != c_uminus(X18,tc_set(X4))
| X19 = X18 ),
file('<stdin>',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).
fof(c_0_211_212,axiom,
! [X26,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X26,X26,X4) ),
file('<stdin>',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(c_0_212_213,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_SetInterval_OatLeast(X26,X4) != c_SetInterval_OatLeast(X30,X4)
| X26 = X30 ),
file('<stdin>',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).
fof(c_0_213_214,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_SetInterval_OatMost(X26,X4) != c_SetInterval_OatMost(X30,X4)
| X26 = X30 ),
file('<stdin>',cls_SetInterval_OatMost__eq__iff__iff1_0) ).
fof(c_0_214_215,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_SetInterval_OgreaterThan(X26,X4) != c_SetInterval_OgreaterThan(X30,X4)
| X26 = X30 ),
file('<stdin>',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).
fof(c_0_215_216,axiom,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_SetInterval_OlessThan(X26,X4) != c_SetInterval_OlessThan(X30,X4)
| X26 = X30 ),
file('<stdin>',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).
fof(c_0_216_217,axiom,
! [X1] :
( c_less(c_0,X1,tc_nat)
| X1 = c_0 ),
file('<stdin>',cls_Nat_Oneq0__conv__iff1_0) ).
fof(c_0_217_218,axiom,
! [X44,X15,X4] :
( c_Datatype_Ooption_OSome(X15,X4) != c_Datatype_Ooption_OSome(X44,X4)
| X15 = X44 ),
file('<stdin>',cls_Datatype_Ooption_Oinject__iff1_0) ).
fof(c_0_218_219,axiom,
! [X48,X49,X50,X51] :
( c_List_Ochar_OChar(X51,X49) != c_List_Ochar_OChar(X50,X48)
| X51 = X50 ),
file('<stdin>',cls_List_Ochar_Oinject__iff1_0) ).
fof(c_0_219_220,axiom,
! [X48,X49,X50,X51] :
( c_List_Ochar_OChar(X51,X49) != c_List_Ochar_OChar(X50,X48)
| X49 = X48 ),
file('<stdin>',cls_List_Ochar_Oinject__iff1_1) ).
fof(c_0_220_221,axiom,
! [X29,X28,X4] :
( c_List_Orev(X28,X4) != c_List_Orev(X29,X4)
| X28 = X29 ),
file('<stdin>',cls_List_Orev__is__rev__conv__iff1_0) ).
fof(c_0_221_222,axiom,
! [X6,X7] :
( class_Finite__Set_Ofinite(tc_fun(X6,X7))
| ~ class_Finite__Set_Ofinite(X7)
| ~ class_Finite__Set_Ofinite(X6) ),
file('<stdin>',clsarity_fun_0) ).
fof(c_0_222_223,axiom,
! [X6,X7] :
( class_Finite__Set_Ofinite(tc_prod(X6,X7))
| ~ class_Finite__Set_Ofinite(X7)
| ~ class_Finite__Set_Ofinite(X6) ),
file('<stdin>',clsarity_prod_0) ).
fof(c_0_223_224,axiom,
! [X6,X7] :
( class_Finite__Set_Ofinite(tc_sum(X6,X7))
| ~ class_Finite__Set_Ofinite(X7)
| ~ class_Finite__Set_Ofinite(X6) ),
file('<stdin>',clsarity_sum_0) ).
fof(c_0_224_225,axiom,
! [X26,X4] :
( X26 = c_Datatype_Ooption_ONone
| X26 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X26,X4),X4) ),
file('<stdin>',cls_Datatype_Onot__None__eq__iff1_0) ).
fof(c_0_225_226,axiom,
! [X26,X4] :
( X26 = c_Datatype_Ooption_ONone
| X26 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X26,X4),X4) ),
file('<stdin>',cls_Datatype_Onot__Some__eq__iff1_0) ).
fof(c_0_226_227,axiom,
! [X28,X4] :
( c_Nat_Osize(X28,tc_List_Olist(X4)) != c_0
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Olength__0__conv__iff1_0) ).
fof(c_0_227_228,axiom,
! [X28,X4] :
( c_List_Olist_ONil != c_List_Orev(X28,X4)
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_ONil__is__rev__conv__iff1_0) ).
fof(c_0_228_229,axiom,
! [X28,X4] :
( c_List_Orev(X28,X4) != c_List_Olist_ONil
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Orev__is__Nil__conv__iff1_0) ).
fof(c_0_229_230,axiom,
! [X28,X4] :
( c_emptyset != c_List_Oset(X28,X4)
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Oset__empty2__iff1_0) ).
fof(c_0_230_231,axiom,
! [X28,X4] :
( c_List_Oset(X28,X4) != c_emptyset
| X28 = c_List_Olist_ONil ),
file('<stdin>',cls_List_Oset__empty__iff1_0) ).
fof(c_0_231_232,axiom,
! [X7] :
( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X7))
| ~ class_Finite__Set_Ofinite(X7) ),
file('<stdin>',clsarity_Datatype__Ooption_0) ).
fof(c_0_232_233,axiom,
! [X7] :
( class_Finite__Set_Ofinite(tc_set(X7))
| ~ class_Finite__Set_Ofinite(X7) ),
file('<stdin>',clsarity_set_3) ).
fof(c_0_233_234,axiom,
! [X1,X2] :
( c_IntDef_Oint(X2) != c_IntDef_Oint(X1)
| X2 = X1 ),
file('<stdin>',cls_IntDef_Oint__int__eq__iff1_0) ).
fof(c_0_234_235,axiom,
! [X1,X2] :
( c_Suc(X2) != c_Suc(X1)
| X2 = X1 ),
file('<stdin>',cls_Nat_OSuc__Suc__eq__iff1_0) ).
fof(c_0_235_236,axiom,
! [X5] :
( ~ class_LOrder_Ojoin__semilorder(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_LOrder_Ojoin__semilorder_0) ).
fof(c_0_236_237,axiom,
! [X5] :
( ~ class_LOrder_Ojoin__semilorder(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(c_0_237_238,axiom,
! [X5] :
( ~ class_LOrder_Olorder(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_LOrder_Olorder_0) ).
fof(c_0_238_239,axiom,
! [X5] :
( ~ class_LOrder_Olorder(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_LOrder_Olorder_1) ).
fof(c_0_239_240,axiom,
! [X5] :
( ~ class_LOrder_Olorder(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_LOrder_Olorder_2) ).
fof(c_0_240_241,axiom,
! [X5] :
( ~ class_LOrder_Olorder(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_LOrder_Olorder_3) ).
fof(c_0_241_242,axiom,
! [X5] :
( ~ class_LOrder_Omeet__semilorder(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_LOrder_Omeet__semilorder_0) ).
fof(c_0_242_243,axiom,
! [X5] :
( ~ class_LOrder_Omeet__semilorder(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_LOrder_Omeet__semilorder_1) ).
fof(c_0_243_244,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_0) ).
fof(c_0_244_245,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_1) ).
fof(c_0_245_246,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_10) ).
fof(c_0_246_247,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_11) ).
fof(c_0_247_248,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_12) ).
fof(c_0_248_249,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_13) ).
fof(c_0_249_250,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_14) ).
fof(c_0_250_251,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_15) ).
fof(c_0_251_252,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_16) ).
fof(c_0_252_253,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_17) ).
fof(c_0_253_254,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_18) ).
fof(c_0_254_255,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_19) ).
fof(c_0_255_256,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_2) ).
fof(c_0_256_257,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_20) ).
fof(c_0_257_258,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_21) ).
fof(c_0_258_259,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_22) ).
fof(c_0_259_260,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_23) ).
fof(c_0_260_261,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_24) ).
fof(c_0_261_262,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_25) ).
fof(c_0_262_263,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_26) ).
fof(c_0_263_264,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Oring__1(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_27) ).
fof(c_0_264_265,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_28) ).
fof(c_0_265_266,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__ring__1(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_29) ).
fof(c_0_266_267,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_3) ).
fof(c_0_267_268,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Numeral_Onumber(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_30) ).
fof(c_0_268_269,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_4) ).
fof(c_0_269_270,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_5) ).
fof(c_0_270_271,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_6) ).
fof(c_0_271_272,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_7) ).
fof(c_0_272_273,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_8) ).
fof(c_0_273_274,axiom,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Numeral_Onumber__ring_9) ).
fof(c_0_274_275,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__group__add_0) ).
fof(c_0_275_276,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__group__add_1) ).
fof(c_0_276_277,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__group__add_2) ).
fof(c_0_277_278,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__group__add_3) ).
fof(c_0_278_279,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__group__add_4) ).
fof(c_0_279_280,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__group__add_5) ).
fof(c_0_280_281,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__group__add_6) ).
fof(c_0_281_282,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__group__add_7) ).
fof(c_0_282_283,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__semigroup__add_0) ).
fof(c_0_283_284,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__semigroup__add_1) ).
fof(c_0_284_285,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__semigroup__mult_0) ).
fof(c_0_285_286,axiom,
! [X5] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oab__semigroup__mult_1) ).
fof(c_0_286_287,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_0) ).
fof(c_0_287_288,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1) ).
fof(c_0_288_289,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2) ).
fof(c_0_289_290,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_3) ).
fof(c_0_290_291,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocancel__semigroup__add_0) ).
fof(c_0_291_292,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocancel__semigroup__add_1) ).
fof(c_0_292_293,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__add_0) ).
fof(c_0_293_294,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__add_1) ).
fof(c_0_294_295,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__add_2) ).
fof(c_0_295_296,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__add_3) ).
fof(c_0_296_297,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__mult_0) ).
fof(c_0_297_298,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__mult_1) ).
fof(c_0_298_299,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__mult_2) ).
fof(c_0_299_300,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__mult_3) ).
fof(c_0_300_301,axiom,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__mult_4) ).
fof(c_0_301_302,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_0) ).
fof(c_0_302_303,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_1) ).
fof(c_0_303_304,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_10) ).
fof(c_0_304_305,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_11) ).
fof(c_0_305_306,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_12) ).
fof(c_0_306_307,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_13) ).
fof(c_0_307_308,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_14) ).
fof(c_0_308_309,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_15) ).
fof(c_0_309_310,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_16) ).
fof(c_0_310_311,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_17) ).
fof(c_0_311_312,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_2) ).
fof(c_0_312_313,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_3) ).
fof(c_0_313_314,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_4) ).
fof(c_0_314_315,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_5) ).
fof(c_0_315_316,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_6) ).
fof(c_0_316_317,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_7) ).
fof(c_0_317_318,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_8) ).
fof(c_0_318_319,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_9) ).
fof(c_0_319_320,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).
fof(c_0_320_321,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(c_0_321_322,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_10) ).
fof(c_0_322_323,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_11) ).
fof(c_0_323_324,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_12) ).
fof(c_0_324_325,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_13) ).
fof(c_0_325_326,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).
fof(c_0_326_327,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(c_0_327_328,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).
fof(c_0_328_329,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(c_0_329_330,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).
fof(c_0_330_331,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_2) ).
fof(c_0_331_332,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_3) ).
fof(c_0_332_333,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_4) ).
fof(c_0_333_334,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_5) ).
fof(c_0_334_335,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(c_0_335_336,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).
fof(c_0_336_337,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).
fof(c_0_337_338,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_9) ).
fof(c_0_338_339,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).
fof(c_0_339_340,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_1) ).
fof(c_0_340_341,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_10) ).
fof(c_0_341_342,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_11) ).
fof(c_0_342_343,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_12) ).
fof(c_0_343_344,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_13) ).
fof(c_0_344_345,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_14) ).
fof(c_0_345_346,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).
fof(c_0_346_347,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).
fof(c_0_347_348,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).
fof(c_0_348_349,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).
fof(c_0_349_350,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_2) ).
fof(c_0_350_351,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_3) ).
fof(c_0_351_352,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_4) ).
fof(c_0_352_353,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).
fof(c_0_353_354,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).
fof(c_0_354_355,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).
fof(c_0_355_356,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).
fof(c_0_356_357,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).
fof(c_0_357_358,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).
fof(c_0_358_359,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_1) ).
fof(c_0_359_360,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_10) ).
fof(c_0_360_361,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_11) ).
fof(c_0_361_362,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_12) ).
fof(c_0_362_363,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_13) ).
fof(c_0_363_364,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_14) ).
fof(c_0_364_365,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).
fof(c_0_365_366,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).
fof(c_0_366_367,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).
fof(c_0_367_368,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).
fof(c_0_368_369,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_2) ).
fof(c_0_369_370,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_3) ).
fof(c_0_370_371,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_4) ).
fof(c_0_371_372,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).
fof(c_0_372_373,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).
fof(c_0_373_374,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).
fof(c_0_374_375,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).
fof(c_0_375_376,axiom,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).
fof(c_0_376_377,axiom,
! [X5] :
( ~ class_OrderedGroup_Omonoid__mult(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_OrderedGroup_Omonoid__mult_0) ).
fof(c_0_377_378,axiom,
! [X5] :
( ~ class_OrderedGroup_Omonoid__mult(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_OrderedGroup_Omonoid__mult_1) ).
fof(c_0_378_379,axiom,
! [X5] :
( ~ class_OrderedGroup_Omonoid__mult(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_OrderedGroup_Omonoid__mult_2) ).
fof(c_0_379_380,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).
fof(c_0_380_381,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).
fof(c_0_381_382,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).
fof(c_0_382_383,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).
fof(c_0_383_384,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).
fof(c_0_384_385,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).
fof(c_0_385_386,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).
fof(c_0_386_387,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).
fof(c_0_387_388,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_4) ).
fof(c_0_388_389,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_5) ).
fof(c_0_389_390,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_6) ).
fof(c_0_390_391,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_7) ).
fof(c_0_391_392,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_8) ).
fof(c_0_392_393,axiom,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_Orderings_Olinorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).
fof(c_0_393_394,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).
fof(c_0_394_395,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_1) ).
fof(c_0_395_396,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(c_0_396_397,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).
fof(c_0_397_398,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).
fof(c_0_398_399,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).
fof(c_0_399_400,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_2) ).
fof(c_0_400_401,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_3) ).
fof(c_0_401_402,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_4) ).
fof(c_0_402_403,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_5) ).
fof(c_0_403_404,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_6) ).
fof(c_0_404_405,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_7) ).
fof(c_0_405_406,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_8) ).
fof(c_0_406_407,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).
fof(c_0_407_408,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).
fof(c_0_408_409,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).
fof(c_0_409_410,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add_2) ).
fof(c_0_410_411,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add_3) ).
fof(c_0_411_412,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add_4) ).
fof(c_0_412_413,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).
fof(c_0_413_414,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).
fof(c_0_414_415,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).
fof(c_0_415_416,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).
fof(c_0_416_417,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_4) ).
fof(c_0_417_418,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_5) ).
fof(c_0_418_419,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_6) ).
fof(c_0_419_420,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_7) ).
fof(c_0_420_421,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_8) ).
fof(c_0_421_422,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).
fof(c_0_422_423,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).
fof(c_0_423_424,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).
fof(c_0_424_425,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_3) ).
fof(c_0_425_426,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_4) ).
fof(c_0_426_427,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_5) ).
fof(c_0_427_428,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_6) ).
fof(c_0_428_429,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_7) ).
fof(c_0_429_430,axiom,
! [X5] :
( ~ class_OrderedGroup_Osemigroup__add(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_OrderedGroup_Osemigroup__add_0) ).
fof(c_0_430_431,axiom,
! [X5] :
( ~ class_OrderedGroup_Osemigroup__mult(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_OrderedGroup_Osemigroup__mult_0) ).
fof(c_0_431_432,axiom,
! [X5] :
( ~ class_Orderings_Olinorder(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_Orderings_Olinorder_0) ).
fof(c_0_432_433,axiom,
! [X5] :
( ~ class_Orderings_Olinorder(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_Orderings_Olinorder_1) ).
fof(c_0_433_434,axiom,
! [X5] :
( ~ class_Orderings_Olinorder(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_Orderings_Olinorder_2) ).
fof(c_0_434_435,axiom,
! [X5] :
( ~ class_Orderings_Olinorder(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Orderings_Olinorder_3) ).
fof(c_0_435_436,axiom,
! [X5] :
( ~ class_Orderings_Olinorder(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Orderings_Olinorder_4) ).
fof(c_0_436_437,axiom,
! [X5] :
( ~ class_Orderings_Oorder(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Orderings_Oorder_0) ).
fof(c_0_437_438,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Nat_Opower(X5) ),
file('<stdin>',clsrel_Power_Orecpower_0) ).
fof(c_0_438_439,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Power_Orecpower_1) ).
fof(c_0_439_440,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Power_Orecpower_10) ).
fof(c_0_440_441,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Power_Orecpower_11) ).
fof(c_0_441_442,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Power_Orecpower_12) ).
fof(c_0_442_443,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Power_Orecpower_13) ).
fof(c_0_443_444,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Power_Orecpower_14) ).
fof(c_0_444_445,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Power_Orecpower_15) ).
fof(c_0_445_446,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
file('<stdin>',clsrel_Power_Orecpower_16) ).
fof(c_0_446_447,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Power_Orecpower_17) ).
fof(c_0_447_448,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
file('<stdin>',clsrel_Power_Orecpower_18) ).
fof(c_0_448_449,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Power_Orecpower_19) ).
fof(c_0_449_450,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Power_Orecpower_2) ).
fof(c_0_450_451,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Power_Orecpower_20) ).
fof(c_0_451_452,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Power_Orecpower_21) ).
fof(c_0_452_453,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
file('<stdin>',clsrel_Power_Orecpower_22) ).
fof(c_0_453_454,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
file('<stdin>',clsrel_Power_Orecpower_23) ).
fof(c_0_454_455,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
file('<stdin>',clsrel_Power_Orecpower_24) ).
fof(c_0_455_456,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Power_Orecpower_3) ).
fof(c_0_456_457,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Power_Orecpower_4) ).
fof(c_0_457_458,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Power_Orecpower_5) ).
fof(c_0_458_459,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Power_Orecpower_6) ).
fof(c_0_459_460,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Power_Orecpower_7) ).
fof(c_0_460_461,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Power_Orecpower_8) ).
fof(c_0_461_462,axiom,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Power_Orecpower_9) ).
fof(c_0_462_463,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oaxclass__0__neq__1_0) ).
fof(c_0_463_464,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oaxclass__0__neq__1_1) ).
fof(c_0_464_465,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oaxclass__abs__if_0) ).
fof(c_0_465_466,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).
fof(c_0_466_467,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oaxclass__abs__if_2) ).
fof(c_0_467_468,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_0) ).
fof(c_0_468_469,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_1) ).
fof(c_0_469_470,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_0) ).
fof(c_0_470_471,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_1) ).
fof(c_0_471_472,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_10) ).
fof(c_0_472_473,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_11) ).
fof(c_0_473_474,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_12) ).
fof(c_0_474_475,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_13) ).
fof(c_0_475_476,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_14) ).
fof(c_0_476_477,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_15) ).
fof(c_0_477_478,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_16) ).
fof(c_0_478_479,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_17) ).
fof(c_0_479_480,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_18) ).
fof(c_0_480_481,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_2) ).
fof(c_0_481_482,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_3) ).
fof(c_0_482_483,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_4) ).
fof(c_0_483_484,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_5) ).
fof(c_0_484_485,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_6) ).
fof(c_0_485_486,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_7) ).
fof(c_0_486_487,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_8) ).
fof(c_0_487_488,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_9) ).
fof(c_0_488_489,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_0) ).
fof(c_0_489_490,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_1) ).
fof(c_0_490_491,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_10) ).
fof(c_0_491_492,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_11) ).
fof(c_0_492_493,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_12) ).
fof(c_0_493_494,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_13) ).
fof(c_0_494_495,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_14) ).
fof(c_0_495_496,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_15) ).
fof(c_0_496_497,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_16) ).
fof(c_0_497_498,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_17) ).
fof(c_0_498_499,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_18) ).
fof(c_0_499_500,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_19) ).
fof(c_0_500_501,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_2) ).
fof(c_0_501_502,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_20) ).
fof(c_0_502_503,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_21) ).
fof(c_0_503_504,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_22) ).
fof(c_0_504_505,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_23) ).
fof(c_0_505_506,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_24) ).
fof(c_0_506_507,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_25) ).
fof(c_0_507_508,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Oring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_26) ).
fof(c_0_508_509,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_27) ).
fof(c_0_509_510,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_28) ).
fof(c_0_510_511,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_3) ).
fof(c_0_511_512,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_4) ).
fof(c_0_512_513,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_5) ).
fof(c_0_513_514,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_6) ).
fof(c_0_514_515,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_7) ).
fof(c_0_515_516,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_8) ).
fof(c_0_516_517,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_9) ).
fof(c_0_517_518,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_0) ).
fof(c_0_518_519,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_1) ).
fof(c_0_519_520,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_2) ).
fof(c_0_520_521,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_3) ).
fof(c_0_521_522,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_4) ).
fof(c_0_522_523,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_5) ).
fof(c_0_523_524,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_6) ).
fof(c_0_524_525,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_0) ).
fof(c_0_525_526,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_1) ).
fof(c_0_526_527,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_10) ).
fof(c_0_527_528,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_2) ).
fof(c_0_528_529,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_3) ).
fof(c_0_529_530,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_4) ).
fof(c_0_530_531,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_5) ).
fof(c_0_531_532,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_6) ).
fof(c_0_532_533,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_7) ).
fof(c_0_533_534,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_8) ).
fof(c_0_534_535,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_9) ).
fof(c_0_535_536,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_0) ).
fof(c_0_536_537,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_1) ).
fof(c_0_537_538,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_10) ).
fof(c_0_538_539,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_11) ).
fof(c_0_539_540,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_12) ).
fof(c_0_540_541,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_13) ).
fof(c_0_541_542,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_14) ).
fof(c_0_542_543,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_2) ).
fof(c_0_543_544,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_3) ).
fof(c_0_544_545,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_4) ).
fof(c_0_545_546,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_5) ).
fof(c_0_546_547,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_6) ).
fof(c_0_547_548,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_7) ).
fof(c_0_548_549,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_8) ).
fof(c_0_549_550,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_9) ).
fof(c_0_550_551,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_0) ).
fof(c_0_551_552,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_1) ).
fof(c_0_552_553,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_10) ).
fof(c_0_553_554,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_11) ).
fof(c_0_554_555,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_12) ).
fof(c_0_555_556,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_13) ).
fof(c_0_556_557,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_14) ).
fof(c_0_557_558,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_15) ).
fof(c_0_558_559,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_16) ).
fof(c_0_559_560,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_2) ).
fof(c_0_560_561,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_3) ).
fof(c_0_561_562,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_4) ).
fof(c_0_562_563,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_5) ).
fof(c_0_563_564,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_6) ).
fof(c_0_564_565,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_7) ).
fof(c_0_565_566,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_8) ).
fof(c_0_566_567,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_9) ).
fof(c_0_567_568,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_0) ).
fof(c_0_568_569,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_1) ).
fof(c_0_569_570,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_10) ).
fof(c_0_570_571,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_11) ).
fof(c_0_571_572,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_12) ).
fof(c_0_572_573,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_13) ).
fof(c_0_573_574,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_14) ).
fof(c_0_574_575,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_15) ).
fof(c_0_575_576,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_16) ).
fof(c_0_576_577,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_17) ).
fof(c_0_577_578,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_18) ).
fof(c_0_578_579,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_19) ).
fof(c_0_579_580,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_2) ).
fof(c_0_580_581,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_20) ).
fof(c_0_581_582,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_21) ).
fof(c_0_582_583,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_22) ).
fof(c_0_583_584,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_3) ).
fof(c_0_584_585,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_4) ).
fof(c_0_585_586,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_5) ).
fof(c_0_586_587,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_6) ).
fof(c_0_587_588,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_7) ).
fof(c_0_588_589,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_8) ).
fof(c_0_589_590,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_9) ).
fof(c_0_590_591,axiom,
! [X5] :
( ~ class_Ring__and__Field_Odivision__by__zero(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Odivision__by__zero_0) ).
fof(c_0_591_592,axiom,
! [X5] :
( ~ class_Ring__and__Field_Odivision__by__zero(X5)
| class_HOL_Oinverse(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Odivision__by__zero_1) ).
fof(c_0_592_593,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__ring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_0) ).
fof(c_0_593_594,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_1) ).
fof(c_0_594_595,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_10) ).
fof(c_0_595_596,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_11) ).
fof(c_0_596_597,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_12) ).
fof(c_0_597_598,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_13) ).
fof(c_0_598_599,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_14) ).
fof(c_0_599_600,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_15) ).
fof(c_0_600_601,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_16) ).
fof(c_0_601_602,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_17) ).
fof(c_0_602_603,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_18) ).
fof(c_0_603_604,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_19) ).
fof(c_0_604_605,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Oring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_2) ).
fof(c_0_605_606,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_20) ).
fof(c_0_606_607,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_21) ).
fof(c_0_607_608,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_22) ).
fof(c_0_608_609,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_23) ).
fof(c_0_609_610,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_24) ).
fof(c_0_610_611,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_25) ).
fof(c_0_611_612,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_26) ).
fof(c_0_612_613,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_27) ).
fof(c_0_613_614,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_28) ).
fof(c_0_614_615,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_29) ).
fof(c_0_615_616,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_3) ).
fof(c_0_616_617,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Oinverse(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_30) ).
fof(c_0_617_618,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Oidom(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_31) ).
fof(c_0_618_619,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_32) ).
fof(c_0_619_620,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_4) ).
fof(c_0_620_621,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_5) ).
fof(c_0_621_622,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_6) ).
fof(c_0_622_623,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_7) ).
fof(c_0_623_624,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_8) ).
fof(c_0_624_625,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Ofield_9) ).
fof(c_0_625_626,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__ring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_0) ).
fof(c_0_626_627,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_1) ).
fof(c_0_627_628,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_10) ).
fof(c_0_628_629,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_11) ).
fof(c_0_629_630,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_12) ).
fof(c_0_630_631,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_13) ).
fof(c_0_631_632,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_14) ).
fof(c_0_632_633,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_15) ).
fof(c_0_633_634,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_16) ).
fof(c_0_634_635,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_17) ).
fof(c_0_635_636,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_18) ).
fof(c_0_636_637,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_19) ).
fof(c_0_637_638,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Oring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_2) ).
fof(c_0_638_639,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_20) ).
fof(c_0_639_640,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_21) ).
fof(c_0_640_641,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_22) ).
fof(c_0_641_642,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_23) ).
fof(c_0_642_643,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_24) ).
fof(c_0_643_644,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_25) ).
fof(c_0_644_645,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_26) ).
fof(c_0_645_646,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_27) ).
fof(c_0_646_647,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_28) ).
fof(c_0_647_648,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_29) ).
fof(c_0_648_649,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_3) ).
fof(c_0_649_650,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_30) ).
fof(c_0_650_651,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_4) ).
fof(c_0_651_652,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_5) ).
fof(c_0_652_653,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_6) ).
fof(c_0_653_654,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_7) ).
fof(c_0_654_655,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_8) ).
fof(c_0_655_656,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oidom_9) ).
fof(c_0_656_657,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Opordered__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_0) ).
fof(c_0_657_658,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_1) ).
fof(c_0_658_659,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_10) ).
fof(c_0_659_660,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_11) ).
fof(c_0_660_661,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_12) ).
fof(c_0_661_662,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_13) ).
fof(c_0_662_663,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_14) ).
fof(c_0_663_664,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_15) ).
fof(c_0_664_665,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_16) ).
fof(c_0_665_666,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_17) ).
fof(c_0_666_667,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_18) ).
fof(c_0_667_668,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_19) ).
fof(c_0_668_669,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_2) ).
fof(c_0_669_670,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_20) ).
fof(c_0_670_671,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_21) ).
fof(c_0_671_672,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_22) ).
fof(c_0_672_673,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_23) ).
fof(c_0_673_674,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_24) ).
fof(c_0_674_675,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_25) ).
fof(c_0_675_676,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_26) ).
fof(c_0_676_677,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_27) ).
fof(c_0_677_678,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_28) ).
fof(c_0_678_679,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Olordered__ab__group__meet(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_29) ).
fof(c_0_679_680,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_3) ).
fof(c_0_680_681,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Olordered__ab__group__join(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_30) ).
fof(c_0_681_682,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_4) ).
fof(c_0_682_683,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_5) ).
fof(c_0_683_684,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_6) ).
fof(c_0_684_685,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_7) ).
fof(c_0_685_686,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_8) ).
fof(c_0_686_687,axiom,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_9) ).
fof(c_0_687_688,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_0) ).
fof(c_0_688_689,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_1) ).
fof(c_0_689_690,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_10) ).
fof(c_0_690_691,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_11) ).
fof(c_0_691_692,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).
fof(c_0_692_693,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Orderings_Olinorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).
fof(c_0_693_694,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).
fof(c_0_694_695,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).
fof(c_0_695_696,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).
fof(c_0_696_697,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).
fof(c_0_697_698,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).
fof(c_0_698_699,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).
fof(c_0_699_700,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_2) ).
fof(c_0_700_701,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
fof(c_0_701_702,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).
fof(c_0_702_703,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_22) ).
fof(c_0_703_704,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_23) ).
fof(c_0_704_705,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Oordered__semiring__strict(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).
fof(c_0_705_706,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).
fof(c_0_706_707,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_26) ).
fof(c_0_707_708,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).
fof(c_0_708_709,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).
fof(c_0_709_710,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).
fof(c_0_710_711,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_3) ).
fof(c_0_711_712,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_4) ).
fof(c_0_712_713,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_5) ).
fof(c_0_713_714,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_6) ).
fof(c_0_714_715,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_7) ).
fof(c_0_715_716,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_8) ).
fof(c_0_716_717,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_9) ).
fof(c_0_717_718,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ofield(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_0) ).
fof(c_0_718_719,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Oinverse(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_1) ).
fof(c_0_719_720,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_10) ).
fof(c_0_720_721,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_11) ).
fof(c_0_721_722,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_12) ).
fof(c_0_722_723,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_13) ).
fof(c_0_723_724,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_14) ).
fof(c_0_724_725,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_15) ).
fof(c_0_725_726,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_16) ).
fof(c_0_726_727,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_17) ).
fof(c_0_727_728,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_18) ).
fof(c_0_728_729,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_19) ).
fof(c_0_729_730,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oidom(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_2) ).
fof(c_0_730_731,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_20) ).
fof(c_0_731_732,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_21) ).
fof(c_0_732_733,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_22) ).
fof(c_0_733_734,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_23) ).
fof(c_0_734_735,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_24) ).
fof(c_0_735_736,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_25) ).
fof(c_0_736_737,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_26) ).
fof(c_0_737_738,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_27) ).
fof(c_0_738_739,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_28) ).
fof(c_0_739_740,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_29) ).
fof(c_0_740_741,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__ring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_3) ).
fof(c_0_741_742,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_30) ).
fof(c_0_742_743,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_31) ).
fof(c_0_743_744,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_32) ).
fof(c_0_744_745,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_33) ).
fof(c_0_745_746,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oordered__idom(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_34) ).
fof(c_0_746_747,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_35) ).
fof(c_0_747_748,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_36) ).
fof(c_0_748_749,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_37) ).
fof(c_0_749_750,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oordered__ring__strict(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_38) ).
fof(c_0_750_751,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oordered__semiring__strict(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_39) ).
fof(c_0_751_752,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_4) ).
fof(c_0_752_753,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_40) ).
fof(c_0_753_754,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Orderings_Olinorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_41) ).
fof(c_0_754_755,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oaxclass__abs__if(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_42) ).
fof(c_0_755_756,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Olordered__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_43) ).
fof(c_0_756_757,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_44) ).
fof(c_0_757_758,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_45) ).
fof(c_0_758_759,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_46) ).
fof(c_0_759_760,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_47) ).
fof(c_0_760_761,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Olordered__ab__group__meet(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_48) ).
fof(c_0_761_762,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Olordered__ab__group__join(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_49) ).
fof(c_0_762_763,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_5) ).
fof(c_0_763_764,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_50) ).
fof(c_0_764_765,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_51) ).
fof(c_0_765_766,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_52) ).
fof(c_0_766_767,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_53) ).
fof(c_0_767_768,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_54) ).
fof(c_0_768_769,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_55) ).
fof(c_0_769_770,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_56) ).
fof(c_0_770_771,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_57) ).
fof(c_0_771_772,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_58) ).
fof(c_0_772_773,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_59) ).
fof(c_0_773_774,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_6) ).
fof(c_0_774_775,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oordered__semidom(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_60) ).
fof(c_0_775_776,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_7) ).
fof(c_0_776_777,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_8) ).
fof(c_0_777_778,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__field_9) ).
fof(c_0_778_779,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__ring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_0) ).
fof(c_0_779_780,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_1) ).
fof(c_0_780_781,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_10) ).
fof(c_0_781_782,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_11) ).
fof(c_0_782_783,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_12) ).
fof(c_0_783_784,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_13) ).
fof(c_0_784_785,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_14) ).
fof(c_0_785_786,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_15) ).
fof(c_0_786_787,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_16) ).
fof(c_0_787_788,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(c_0_788_789,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_18) ).
fof(c_0_789_790,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_19) ).
fof(c_0_790_791,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_2) ).
fof(c_0_791_792,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_20) ).
fof(c_0_792_793,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(c_0_793_794,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_22) ).
fof(c_0_794_795,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(c_0_795_796,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_24) ).
fof(c_0_796_797,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_25) ).
fof(c_0_797_798,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_26) ).
fof(c_0_798_799,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_27) ).
fof(c_0_799_800,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_28) ).
fof(c_0_800_801,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_29) ).
fof(c_0_801_802,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_3) ).
fof(c_0_802_803,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_30) ).
fof(c_0_803_804,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oordered__semiring__strict(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_31) ).
fof(c_0_804_805,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_32) ).
fof(c_0_805_806,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Orderings_Olinorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(c_0_806_807,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_34) ).
fof(c_0_807_808,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(c_0_808_809,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_36) ).
fof(c_0_809_810,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(c_0_810_811,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_38) ).
fof(c_0_811_812,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_39) ).
fof(c_0_812_813,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(c_0_813_814,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(c_0_814_815,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_41) ).
fof(c_0_815_816,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(c_0_816_817,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_43) ).
fof(c_0_817_818,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(c_0_818_819,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_45) ).
fof(c_0_819_820,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oaxclass__abs__if(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_46) ).
fof(c_0_820_821,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oordered__ring__strict(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_47) ).
fof(c_0_821_822,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Olordered__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_48) ).
fof(c_0_822_823,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_49) ).
fof(c_0_823_824,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_5) ).
fof(c_0_824_825,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(c_0_825_826,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group__meet(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_51) ).
fof(c_0_826_827,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group__join(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_52) ).
fof(c_0_827_828,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_53) ).
fof(c_0_828_829,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(c_0_829_830,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oordered__semidom(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_55) ).
fof(c_0_830_831,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_56) ).
fof(c_0_831_832,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oidom(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_57) ).
fof(c_0_832_833,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_6) ).
fof(c_0_833_834,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_7) ).
fof(c_0_834_835,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_8) ).
fof(c_0_835_836,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_9) ).
fof(c_0_836_837,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_0) ).
fof(c_0_837_838,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_1) ).
fof(c_0_838_839,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_10) ).
fof(c_0_839_840,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_11) ).
fof(c_0_840_841,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_12) ).
fof(c_0_841_842,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_13) ).
fof(c_0_842_843,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_14) ).
fof(c_0_843_844,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Oordered__semiring__strict(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).
fof(c_0_844_845,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).
fof(c_0_845_846,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Orderings_Olinorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).
fof(c_0_846_847,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).
fof(c_0_847_848,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).
fof(c_0_848_849,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_2) ).
fof(c_0_849_850,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).
fof(c_0_850_851,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).
fof(c_0_851_852,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).
fof(c_0_852_853,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).
fof(c_0_853_854,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).
fof(c_0_854_855,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).
fof(c_0_855_856,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).
fof(c_0_856_857,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).
fof(c_0_857_858,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Oaxclass__abs__if(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).
fof(c_0_858_859,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).
fof(c_0_859_860,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_3) ).
fof(c_0_860_861,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).
fof(c_0_861_862,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Olordered__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).
fof(c_0_862_863,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Opordered__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).
fof(c_0_863_864,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).
fof(c_0_864_865,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Olordered__ab__group__meet(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).
fof(c_0_865_866,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Olordered__ab__group__join(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).
fof(c_0_866_867,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_36) ).
fof(c_0_867_868,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_4) ).
fof(c_0_868_869,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_5) ).
fof(c_0_869_870,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_6) ).
fof(c_0_870_871,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_7) ).
fof(c_0_871_872,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_8) ).
fof(c_0_872_873,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_9) ).
fof(c_0_873_874,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_0) ).
fof(c_0_874_875,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_1) ).
fof(c_0_875_876,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_10) ).
fof(c_0_876_877,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_11) ).
fof(c_0_877_878,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_12) ).
fof(c_0_878_879,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_13) ).
fof(c_0_879_880,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_14) ).
fof(c_0_880_881,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_15) ).
fof(c_0_881_882,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_16) ).
fof(c_0_882_883,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_17) ).
fof(c_0_883_884,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_18) ).
fof(c_0_884_885,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_19) ).
fof(c_0_885_886,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_2) ).
fof(c_0_886_887,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_20) ).
fof(c_0_887_888,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_21) ).
fof(c_0_888_889,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_22) ).
fof(c_0_889_890,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_23) ).
fof(c_0_890_891,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_24) ).
fof(c_0_891_892,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Oordered__semiring__strict(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_25) ).
fof(c_0_892_893,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_26) ).
fof(c_0_893_894,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Orderings_Olinorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_27) ).
fof(c_0_894_895,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_28) ).
fof(c_0_895_896,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_29) ).
fof(c_0_896_897,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_3) ).
fof(c_0_897_898,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_30) ).
fof(c_0_898_899,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_31) ).
fof(c_0_899_900,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_32) ).
fof(c_0_900_901,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_33) ).
fof(c_0_901_902,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_34) ).
fof(c_0_902_903,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_35) ).
fof(c_0_903_904,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_36) ).
fof(c_0_904_905,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_37) ).
fof(c_0_905_906,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_38) ).
fof(c_0_906_907,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_39) ).
fof(c_0_907_908,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_4) ).
fof(c_0_908_909,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_5) ).
fof(c_0_909_910,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_6) ).
fof(c_0_910_911,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_7) ).
fof(c_0_911_912,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_8) ).
fof(c_0_912_913,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_9) ).
fof(c_0_913_914,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_0) ).
fof(c_0_914_915,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_1) ).
fof(c_0_915_916,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Orderings_Olinorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).
fof(c_0_916_917,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).
fof(c_0_917_918,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).
fof(c_0_918_919,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).
fof(c_0_919_920,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).
fof(c_0_920_921,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).
fof(c_0_921_922,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).
fof(c_0_922_923,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).
fof(c_0_923_924,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).
fof(c_0_924_925,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_19) ).
fof(c_0_925_926,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_2) ).
fof(c_0_926_927,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_20) ).
fof(c_0_927_928,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_21) ).
fof(c_0_928_929,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).
fof(c_0_929_930,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).
fof(c_0_930_931,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_3) ).
fof(c_0_931_932,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_4) ).
fof(c_0_932_933,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_5) ).
fof(c_0_933_934,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_6) ).
fof(c_0_934_935,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_7) ).
fof(c_0_935_936,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_8) ).
fof(c_0_936_937,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).
fof(c_0_937_938,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).
fof(c_0_938_939,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_1) ).
fof(c_0_939_940,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).
fof(c_0_940_941,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_11) ).
fof(c_0_941_942,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_12) ).
fof(c_0_942_943,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_13) ).
fof(c_0_943_944,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).
fof(c_0_944_945,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).
fof(c_0_945_946,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_16) ).
fof(c_0_946_947,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_17) ).
fof(c_0_947_948,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).
fof(c_0_948_949,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).
fof(c_0_949_950,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_2) ).
fof(c_0_950_951,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_20) ).
fof(c_0_951_952,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_3) ).
fof(c_0_952_953,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_4) ).
fof(c_0_953_954,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_5) ).
fof(c_0_954_955,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_6) ).
fof(c_0_955_956,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_7) ).
fof(c_0_956_957,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_8) ).
fof(c_0_957_958,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_9) ).
fof(c_0_958_959,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).
fof(c_0_959_960,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_1) ).
fof(c_0_960_961,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_10) ).
fof(c_0_961_962,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).
fof(c_0_962_963,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).
fof(c_0_963_964,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_13) ).
fof(c_0_964_965,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_14) ).
fof(c_0_965_966,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_15) ).
fof(c_0_966_967,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_2) ).
fof(c_0_967_968,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_3) ).
fof(c_0_968_969,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_4) ).
fof(c_0_969_970,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_5) ).
fof(c_0_970_971,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_6) ).
fof(c_0_971_972,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).
fof(c_0_972_973,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_8) ).
fof(c_0_973_974,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_9) ).
fof(c_0_974_975,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_0) ).
fof(c_0_975_976,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_1) ).
fof(c_0_976_977,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_10) ).
fof(c_0_977_978,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_11) ).
fof(c_0_978_979,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_12) ).
fof(c_0_979_980,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_13) ).
fof(c_0_980_981,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_14) ).
fof(c_0_981_982,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_15) ).
fof(c_0_982_983,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_16) ).
fof(c_0_983_984,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_17) ).
fof(c_0_984_985,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_18) ).
fof(c_0_985_986,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_19) ).
fof(c_0_986_987,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_2) ).
fof(c_0_987_988,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_20) ).
fof(c_0_988_989,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_21) ).
fof(c_0_989_990,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_22) ).
fof(c_0_990_991,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_23) ).
fof(c_0_991_992,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_24) ).
fof(c_0_992_993,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_3) ).
fof(c_0_993_994,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_4) ).
fof(c_0_994_995,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_5) ).
fof(c_0_995_996,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_6) ).
fof(c_0_996_997,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_7) ).
fof(c_0_997_998,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_8) ).
fof(c_0_998_999,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_9) ).
fof(c_0_999_1000,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_0) ).
fof(c_0_1000_1001,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_1) ).
fof(c_0_1001_1002,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_10) ).
fof(c_0_1002_1003,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_11) ).
fof(c_0_1003_1004,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).
fof(c_0_1004_1005,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).
fof(c_0_1005_1006,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).
fof(c_0_1006_1007,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).
fof(c_0_1007_1008,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_2) ).
fof(c_0_1008_1009,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_3) ).
fof(c_0_1009_1010,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_4) ).
fof(c_0_1010_1011,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_5) ).
fof(c_0_1011_1012,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_6) ).
fof(c_0_1012_1013,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_7) ).
fof(c_0_1013_1014,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_8) ).
fof(c_0_1014_1015,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_9) ).
fof(c_0_1015_1016,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_0) ).
fof(c_0_1016_1017,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_1) ).
fof(c_0_1017_1018,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_10) ).
fof(c_0_1018_1019,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_11) ).
fof(c_0_1019_1020,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_12) ).
fof(c_0_1020_1021,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_13) ).
fof(c_0_1021_1022,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_14) ).
fof(c_0_1022_1023,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_15) ).
fof(c_0_1023_1024,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_16) ).
fof(c_0_1024_1025,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_17) ).
fof(c_0_1025_1026,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_18) ).
fof(c_0_1026_1027,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_19) ).
fof(c_0_1027_1028,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_2) ).
fof(c_0_1028_1029,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_20) ).
fof(c_0_1029_1030,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_21) ).
fof(c_0_1030_1031,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_22) ).
fof(c_0_1031_1032,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_3) ).
fof(c_0_1032_1033,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_4) ).
fof(c_0_1033_1034,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_5) ).
fof(c_0_1034_1035,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_6) ).
fof(c_0_1035_1036,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_7) ).
fof(c_0_1036_1037,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_8) ).
fof(c_0_1037_1038,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_9) ).
fof(c_0_1038_1039,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_0) ).
fof(c_0_1039_1040,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_1) ).
fof(c_0_1040_1041,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_10) ).
fof(c_0_1041_1042,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_11) ).
fof(c_0_1042_1043,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_2) ).
fof(c_0_1043_1044,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_3) ).
fof(c_0_1044_1045,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_4) ).
fof(c_0_1045_1046,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_5) ).
fof(c_0_1046_1047,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_6) ).
fof(c_0_1047_1048,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_7) ).
fof(c_0_1048_1049,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_8) ).
fof(c_0_1049_1050,axiom,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_9) ).
fof(c_0_1050_1051,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_0) ).
fof(c_0_1051_1052,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_1) ).
fof(c_0_1052_1053,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_10) ).
fof(c_0_1053_1054,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_11) ).
fof(c_0_1054_1055,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_12) ).
fof(c_0_1055_1056,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_13) ).
fof(c_0_1056_1057,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_2) ).
fof(c_0_1057_1058,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_3) ).
fof(c_0_1058_1059,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_4) ).
fof(c_0_1059_1060,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_5) ).
fof(c_0_1060_1061,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_6) ).
fof(c_0_1061_1062,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_7) ).
fof(c_0_1062_1063,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_8) ).
fof(c_0_1063_1064,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring_9) ).
fof(c_0_1064_1065,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Oring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_0) ).
fof(c_0_1065_1066,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_1) ).
fof(c_0_1066_1067,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_10) ).
fof(c_0_1067_1068,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_11) ).
fof(c_0_1068_1069,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_12) ).
fof(c_0_1069_1070,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_13) ).
fof(c_0_1070_1071,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_14) ).
fof(c_0_1071_1072,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_15) ).
fof(c_0_1072_1073,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_16) ).
fof(c_0_1073_1074,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_17) ).
fof(c_0_1074_1075,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_18) ).
fof(c_0_1075_1076,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_19) ).
fof(c_0_1076_1077,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_HOL_Ominus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_2) ).
fof(c_0_1077_1078,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_3) ).
fof(c_0_1078_1079,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_4) ).
fof(c_0_1079_1080,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_5) ).
fof(c_0_1080,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_6) ).
fof(c_0_1081,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_7) ).
fof(c_0_1082,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_8) ).
fof(c_0_1083,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Oring__1_9) ).
fof(c_0_1084,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring_0) ).
fof(c_0_1085,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring_1) ).
fof(c_0_1086,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring_2) ).
fof(c_0_1087,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring_3) ).
fof(c_0_1088,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring_4) ).
fof(c_0_1089,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_0) ).
fof(c_0_1090,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_1) ).
fof(c_0_1091,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_2) ).
fof(c_0_1092,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_3) ).
fof(c_0_1093,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_4) ).
fof(c_0_1094,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_5) ).
fof(c_0_1095,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_6) ).
fof(c_0_1096,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_7) ).
fof(c_0_1097,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_0) ).
fof(c_0_1098,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_1) ).
fof(c_0_1099,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_10) ).
fof(c_0_1100,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_2) ).
fof(c_0_1101,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_3) ).
fof(c_0_1102,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_4) ).
fof(c_0_1103,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_5) ).
fof(c_0_1104,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_6) ).
fof(c_0_1105,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_7) ).
fof(c_0_1106,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_8) ).
fof(c_0_1107,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_9) ).
fof(c_0_1108,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_0) ).
fof(c_0_1109,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_1) ).
fof(c_0_1110,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_10) ).
fof(c_0_1111,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_11) ).
fof(c_0_1112,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_2) ).
fof(c_0_1113,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_3) ).
fof(c_0_1114,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_4) ).
fof(c_0_1115,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_5) ).
fof(c_0_1116,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_6) ).
fof(c_0_1117,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_7) ).
fof(c_0_1118,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_8) ).
fof(c_0_1119,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_9) ).
fof(c_0_1120,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_0) ).
fof(c_0_1121,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_1) ).
fof(c_0_1122,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_HOL_Oone(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_10) ).
fof(c_0_1123,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_11) ).
fof(c_0_1124,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_HOL_Otimes(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_12) ).
fof(c_0_1125,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_13) ).
fof(c_0_1126,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_14) ).
fof(c_0_1127,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_15) ).
fof(c_0_1128,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_2) ).
fof(c_0_1129,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_3) ).
fof(c_0_1130,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_4) ).
fof(c_0_1131,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_HOL_Ozero(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_5) ).
fof(c_0_1132,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_6) ).
fof(c_0_1133,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_7) ).
fof(c_0_1134,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_HOL_Oplus(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_8) ).
fof(c_0_1135,axiom,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_9) ).
fof(c_0_1136,axiom,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_Orderings_Oord(X5) ),
file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_0) ).
fof(c_0_1137,axiom,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_Orderings_Oorder(X5) ),
file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_1) ).
fof(c_0_1138,axiom,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_LOrder_Omeet__semilorder(X5) ),
file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_2) ).
fof(c_0_1139,axiom,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_3) ).
fof(c_0_1140,axiom,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_LOrder_Olorder(X5) ),
file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_4) ).
fof(c_0_1141,axiom,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_Orderings_Olinorder(X5) ),
file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_5) ).
fof(c_0_1142,plain,
! [X24,X22,X13,X23,X10,X4] :
( ~ c_in(X24,c_Relation_Orel__comp(X13,X22,X23,X10,X4),tc_prod(X4,X10))
| c_in(c_Pair(c_Main_Orel__compE__2(X13,X22,X24,X23,X10,X4),c_Main_Orel__compE__3(X13,X22,X24,X23,X10,X4),X23,X10),X13,tc_prod(X23,X10)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_1143,plain,
! [X24,X22,X13,X23,X10,X4] :
( ~ c_in(X24,c_Relation_Orel__comp(X13,X22,X23,X10,X4),tc_prod(X4,X10))
| c_in(c_Pair(c_Main_Orel__compE__1(X13,X22,X24,X23,X10,X4),c_Main_Orel__compE__2(X13,X22,X24,X23,X10,X4),X4,X23),X22,tc_prod(X4,X23)) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_1144,plain,
! [X24,X22,X13,X23,X10,X4] :
( ~ c_in(X24,c_Relation_Orel__comp(X13,X22,X23,X10,X4),tc_prod(X4,X10))
| X24 = c_Pair(c_Main_Orel__compE__1(X13,X22,X24,X23,X10,X4),c_Main_Orel__compE__3(X13,X22,X24,X23,X10,X4),X4,X10) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_1145,plain,
! [X22,X13,X20,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Odprod(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| X20 = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X20,X13,X22,X4,X10),c_Main_OdprodE__2(X20,X13,X22,X4,X10),X4,X10),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X20,X13,X22,X4,X10),c_Main_OdprodE__4(X20,X13,X22,X4,X10),X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_1146,plain,
! [X22,X13,X20,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Odprod(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdprodE__2(X20,X13,X22,X4,X10),c_Main_OdprodE__4(X20,X13,X22,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X22,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_1147,plain,
! [X22,X13,X20,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Odprod(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdprodE__1(X20,X13,X22,X4,X10),c_Main_OdprodE__3(X20,X13,X22,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X13,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_1148,plain,
! [X39,X22,X13,X10,X4] :
( ~ c_in(X39,c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdsumE__1(X13,X39,X4,X10),c_Main_OdsumE__2(X13,X39,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X13,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdsumE__3(X22,X39,X4,X10),c_Main_OdsumE__4(X22,X39,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X22,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_1149,plain,
! [X39,X22,X13,X10,X4] :
( ~ c_in(X39,c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdsumE__3(X22,X39,X4,X10),c_Main_OdsumE__4(X22,X39,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X22,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| X39 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X13,X39,X4,X10),X4,X10),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X13,X39,X4,X10),X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_1150,plain,
! [X39,X22,X13,X10,X4] :
( ~ c_in(X39,c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Main_OdsumE__1(X13,X39,X4,X10),c_Main_OdsumE__2(X13,X39,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X13,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| X39 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X22,X39,X4,X10),X4,X10),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X22,X39,X4,X10),X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_1151,plain,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X30,X29,X4),X28,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_in(c_Pair(X29,c_Main_Olistrel__Cons1__2(X13,X28,X30,X29,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_1152,plain,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(X28,c_List_Olist_OCons(X30,X29,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__2(X13,X28,X30,X29,X4),X29,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_1153,plain,
! [X22,X13,X37,X35,X38,X36,X10,X4] :
( ~ c_in(c_Pair(X35,X37,tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X22,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| ~ c_in(c_Pair(X36,X38,tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X13,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X36,X35,X4,X10),c_Datatype__Universe_OScons(X38,X37,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),c_Datatype__Universe_Odprod(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_1154,plain,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X30,X29,X4),X28,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_in(c_Pair(X30,c_Main_Olistrel__Cons1__1(X13,X28,X30,X29,X4),X4,X4),X13,tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_1155,plain,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(X28,c_List_Olist_OCons(X30,X29,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__1(X13,X28,X30,X29,X4),X30,X4,X4),X13,tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_1156,plain,
! [X39,X22,X13,X10,X4] :
( ~ c_in(X39,c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| X39 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X13,X39,X4,X10),X4,X10),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X13,X39,X4,X10),X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| X39 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X22,X39,X4,X10),X4,X10),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X22,X39,X4,X10),X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_1157,plain,
! [X13,X14,X19,X10,X4] :
( ~ c_in(X14,c_Relation_OImage(X13,X19,X10,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X19,X14,X13,X10,X4),X14,X10,X4),X13,tc_prod(X10,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_1158,plain,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X30,X29,X4),X28,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| X28 = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X13,X28,X30,X29,X4),c_Main_Olistrel__Cons1__2(X13,X28,X30,X29,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_1159,plain,
! [X29,X30,X28,X13,X4] :
( ~ c_in(c_Pair(X28,c_List_Olist_OCons(X30,X29,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| X28 = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X13,X28,X30,X29,X4),c_Main_Olistrel__Cons2__2(X13,X28,X30,X29,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_1160,plain,
! [X20,X18,X19,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Ouprod(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| X20 = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X19,X18,X20,X4,X10),c_Main_OuprodE__2(X19,X18,X20,X4,X10),X4,X10) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_1161,plain,
! [X22,X13,X20,X14,X15,X23,X10,X4] :
( ~ c_in(c_Pair(X14,X20,X10,X23),X13,tc_prod(X10,X23))
| ~ c_in(c_Pair(X15,X14,X4,X10),X22,tc_prod(X4,X10))
| c_in(c_Pair(X15,X20,X4,X23),c_Relation_Orel__comp(X13,X22,X10,X23,X4),tc_prod(X4,X23)) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_1162,plain,
! [X22,X13,X38,X36,X10,X4] :
( ~ c_in(c_Pair(X36,X38,tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X13,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Datatype__Universe_OIn0(X36,X4,X10),c_Datatype__Universe_OIn0(X38,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_1163,plain,
! [X22,X13,X37,X35,X10,X4] :
( ~ c_in(c_Pair(X35,X37,tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),X22,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))))
| c_in(c_Pair(c_Datatype__Universe_OIn1(X35,X4,X10),c_Datatype__Universe_OIn1(X37,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10))),c_Datatype__Universe_Odsum(X13,X22,X4,X10),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X10)),tc_set(tc_Datatype__Universe_Onode(X4,X10)))) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_1164,plain,
! [X20,X18,X19,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Ouprod(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OuprodE__2(X19,X18,X20,X4,X10),X18,tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_1165,plain,
! [X20,X18,X19,X10,X4] :
( ~ c_in(X20,c_Datatype__Universe_Ouprod(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OuprodE__1(X19,X18,X20,X4,X10),X19,tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_1166,plain,
! [X13,X14,X19,X10,X4] :
( ~ c_in(X14,c_Relation_OImage(X13,X19,X10,X4),X4)
| c_in(c_Main_OImageE__1(X19,X14,X13,X10,X4),X19,X10) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_1167,plain,
! [X25,X13,X10,X4] :
( ~ c_in(X25,c_Relation_Oconverse(X13,X10,X4),tc_prod(X4,X10))
| c_in(c_Pair(c_Main_OconverseE__1(X13,X25,X10,X4),c_Main_OconverseE__2(X13,X25,X10,X4),X10,X4),X13,tc_prod(X10,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_1168,plain,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| ~ c_in(c_Pair(X26,X30,X4,X4),c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_1169,plain,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| ~ c_in(c_Pair(X26,X30,X4,X4),c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_1170,plain,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OusumE__1(X19,X17,X4,X10),X19,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OusumE__2(X18,X17,X4,X10),X18,tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_1171,plain,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OusumE__2(X18,X17,X4,X10),X18,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| X17 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X19,X17,X4,X10),X4,X10) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_1172,plain,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Main_OusumE__1(X19,X17,X4,X10),X19,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| X17 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X18,X17,X4,X10),X4,X10) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_1173,plain,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| X17 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X19,X17,X4,X10),X4,X10)
| X17 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X18,X17,X4,X10),X4,X10) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_1174,plain,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Sum__Type_OPlus(X19,X18,X4,X10),tc_sum(X4,X10))
| X17 = c_Sum__Type_OInl(c_Main_OPlusE__1(X19,X17,X4,X10),X4,X10)
| X17 = c_Sum__Type_OInr(c_Main_OPlusE__2(X18,X17,X10,X4),X10,X4) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_1175,plain,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Sum__Type_OPlus(X19,X18,X4,X10),tc_sum(X4,X10))
| c_in(c_Main_OPlusE__2(X18,X17,X10,X4),X18,X10)
| X17 = c_Sum__Type_OInl(c_Main_OPlusE__1(X19,X17,X4,X10),X4,X10) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_1176,plain,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Sum__Type_OPlus(X19,X18,X4,X10),tc_sum(X4,X10))
| c_in(c_Main_OPlusE__1(X19,X17,X4,X10),X19,X4)
| X17 = c_Sum__Type_OInr(c_Main_OPlusE__2(X18,X17,X10,X4),X10,X4) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_1177,plain,
! [X17,X18,X19,X10,X4] :
( ~ c_in(X17,c_Sum__Type_OPlus(X19,X18,X4,X10),tc_sum(X4,X10))
| c_in(c_Main_OPlusE__1(X19,X17,X4,X10),X19,X4)
| c_in(c_Main_OPlusE__2(X18,X17,X10,X4),X18,X10) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_1178,plain,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| c_Wellfounded__Recursion_Oacyclic(X13,X4) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_1179,plain,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| c_Wellfounded__Recursion_Owf(X13,X4) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_1180,plain,
! [X13,X15,X10,X4] :
( ~ c_in(X15,c_Relation_ODomain(X13,X4,X10),X4)
| c_in(c_Pair(X15,c_Main_ODomainE__1(X15,X13,X4,X10),X4,X10),X13,tc_prod(X4,X10)) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_1181,plain,
! [X13,X14,X10,X4] :
( ~ c_in(X14,c_Relation_ORange(X13,X10,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X14,X13,X4,X10),X14,X10,X4),X13,tc_prod(X10,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_1182,plain,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Oacyclic(X13,X4)
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| c_in(c_Pair(X26,X30,X4,X4),c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_1183,plain,
! [X30,X26,X13,X4] :
( ~ c_Wellfounded__Recursion_Owf(X13,X4)
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X30,X26,X4,X4),X13,tc_prod(X4,X4)),X4)
| c_in(c_Pair(X26,X30,X4,X4),c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_1184,plain,
! [X13,X14,X15,X10,X4] :
( ~ c_in(X14,c_Relation_OImage(X13,c_insert(X15,c_emptyset,X10),X10,X4),X4)
| c_in(c_Pair(X15,X14,X10,X4),X13,tc_prod(X10,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_1185,plain,
! [X1,X2,X41] :
( ~ c_Divides_Oop_Advd(X41,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X41,X2,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_1186,plain,
! [X1,X2,X41] :
( ~ c_Divides_Oop_Advd(X41,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X41,X1,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_1187,plain,
! [X13,X14,X15,X10,X4] :
( ~ c_in(c_Pair(X15,X14,X10,X4),X13,tc_prod(X10,X4))
| c_in(X14,c_Relation_OImage(X13,c_insert(X15,c_emptyset,X10),X10,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_1188,plain,
! [X13,X14,X15,X10,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X10),c_Relation_Oconverse(X13,X10,X4),tc_prod(X4,X10))
| c_in(c_Pair(X14,X15,X10,X4),X13,tc_prod(X10,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_1189,plain,
! [X13,X14,X15,X10,X4] :
( ~ c_in(c_Pair(X14,X15,X10,X4),X13,tc_prod(X10,X4))
| c_in(c_Pair(X15,X14,X4,X10),c_Relation_Oconverse(X13,X10,X4),tc_prod(X4,X10)) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_1190,plain,
! [X13,X14,X15,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X4),c_Transitive__Closure_Otrancl(X13,X4),tc_prod(X4,X4))
| c_in(c_Pair(X15,X14,X4,X4),c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_1191,plain,
! [X13,X14,X15,X19,X10,X4] :
( ~ c_in(X15,X19,X4)
| ~ c_in(c_Pair(X15,X14,X4,X10),X13,tc_prod(X4,X10))
| c_in(X14,c_Relation_OImage(X13,X19,X4,X10),X10) ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_1192,plain,
! [X25,X13,X10,X4] :
( ~ c_in(X25,c_Relation_Oconverse(X13,X10,X4),tc_prod(X4,X10))
| X25 = c_Pair(c_Main_OconverseE__2(X13,X25,X10,X4),c_Main_OconverseE__1(X13,X25,X10,X4),X4,X10) ),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_1193,plain,
! [X13,X14,X15,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X4),X13,tc_prod(X4,X4))
| c_in(c_Pair(X15,X14,X4,X4),c_Transitive__Closure_Otrancl(X13,X4),tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_1194,plain,
! [X35,X36,X18,X19,X10,X4] :
( ~ c_in(X35,X18,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| ~ c_in(X36,X19,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Datatype__Universe_OScons(X36,X35,X4,X10),c_Datatype__Universe_Ouprod(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_1195,plain,
! [X1,X2,X41] :
( ~ c_Divides_Oop_Advd(X41,X1,tc_nat)
| ~ c_Divides_Oop_Advd(X41,X2,tc_nat)
| c_Divides_Oop_Advd(X41,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_1196,plain,
! [X13,X14,X15,X10,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X10),X13,tc_prod(X4,X10))
| c_in(X15,c_Relation_ODomain(X13,X4,X10),X4) ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_1197,plain,
! [X13,X14,X15,X10,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X10),X13,tc_prod(X4,X10))
| c_in(X14,c_Relation_ORange(X13,X4,X10),X10) ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_1198,plain,
! [X28,X13,X4] :
( ~ c_in(c_Pair(c_List_Olist_ONil,X28,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| X28 = c_List_Olist_ONil ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_1199,plain,
! [X28,X13,X4] :
( ~ c_in(c_Pair(X28,c_List_Olist_ONil,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X13,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| X28 = c_List_Olist_ONil ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_1200,plain,
! [X30,X26] :
( ~ c_in(c_Pair(X26,X30,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| c_less(X26,X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_1201,plain,
! [X14,X15,X4] :
( ~ c_in(c_Pair(X15,X14,X4,X4),c_Relation_OId,tc_prod(X4,X4))
| X15 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_1202,plain,
! [X36,X18,X19,X10,X4] :
( ~ c_in(X36,X19,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Datatype__Universe_OIn0(X36,X4,X10),c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_1203,plain,
! [X35,X18,X19,X10,X4] :
( ~ c_in(X35,X18,tc_set(tc_Datatype__Universe_Onode(X4,X10)))
| c_in(c_Datatype__Universe_OIn1(X35,X4,X10),c_Datatype__Universe_Ousum(X19,X18,X4,X10),tc_set(tc_Datatype__Universe_Onode(X4,X10))) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_1204,plain,
! [X15,X18,X19,X4] :
( ~ c_in(c_minus(X19,c_insert(X15,X18,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_minus(X19,X18,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_1205,axiom,
! [X37,X35,X38,X36,X10,X4] :
( c_Datatype__Universe_OScons(X36,X35,X4,X10) != c_Datatype__Universe_OScons(X38,X37,X4,X10)
| X36 = X38 ),
c_0_63 ).
fof(c_0_1206,axiom,
! [X37,X35,X38,X36,X10,X4] :
( c_Datatype__Universe_OScons(X36,X35,X4,X10) != c_Datatype__Universe_OScons(X38,X37,X4,X10)
| X35 = X37 ),
c_0_64 ).
fof(c_0_1207,axiom,
! [X43,X14,X44,X15,X10,X4] :
( c_Pair(X15,X14,X4,X10) != c_Pair(X44,X43,X4,X10)
| X15 = X44 ),
c_0_65 ).
fof(c_0_1208,axiom,
! [X43,X14,X44,X15,X10,X4] :
( c_Pair(X15,X14,X4,X10) != c_Pair(X44,X43,X4,X10)
| X14 = X43 ),
c_0_66 ).
fof(c_0_1209,plain,
! [X15,X18,X19,X10,X4] :
( ~ c_in(X15,X19,X4)
| c_in(c_Sum__Type_OInl(X15,X4,X10),c_Sum__Type_OPlus(X19,X18,X4,X10),tc_sum(X4,X10)) ),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_1210,plain,
! [X14,X18,X19,X10,X4] :
( ~ c_in(X14,X18,X4)
| c_in(c_Sum__Type_OInr(X14,X4,X10),c_Sum__Type_OPlus(X19,X18,X10,X4),tc_sum(X10,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_1211,plain,
! [X15,X19,X4] :
( ~ c_in(X15,X19,X4)
| c_in(c_Pair(X15,X15,X4,X4),c_Relation_Odiag(X19,X4),tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_1212,plain,
! [X15,X18,X19,X4] :
( ~ c_in(c_minus(X19,X18,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_minus(X19,c_insert(X15,X18,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_1213,plain,
! [X30,X26] :
( ~ c_less(X26,X30,tc_nat)
| c_in(c_Pair(X26,X30,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_1214,plain,
! [X20,X19,X4] :
( ~ c_in(X20,c_Relation_Odiag(X19,X4),tc_prod(X4,X4))
| X20 = c_Pair(c_Main_OdiagE__1(X19,X20,X4),c_Main_OdiagE__1(X19,X20,X4),X4,X4) ),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_1215,plain,
! [X1,X2,X3,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_1216,plain,
! [X11,X12,X10,X4] :
( ~ c_Relation_Otrans(X11,X10)
| ~ c_Relation_Otrans(X12,X4)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X12,X11,X4,X10),tc_prod(X4,X10)) ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_1217,plain,
! [X8,X9,X10,X4] :
( ~ c_Wellfounded__Recursion_Owf(X8,X10)
| ~ c_Wellfounded__Recursion_Owf(X9,X4)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X9,X8,X4,X10),tc_prod(X4,X10)) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_1218,axiom,
! [X29,X30,X28,X26,X4] :
( c_append(X28,c_List_Olist_OCons(X26,c_List_Olist_ONil,X4),X4) != c_append(X29,c_List_Olist_OCons(X30,c_List_Olist_ONil,X4),X4)
| X28 = X29 ),
c_0_76 ).
fof(c_0_1219,axiom,
! [X29,X30,X28,X26,X4] :
( c_append(X28,c_List_Olist_OCons(X26,c_List_Olist_ONil,X4),X4) != c_append(X29,c_List_Olist_OCons(X30,c_List_Olist_ONil,X4),X4)
| X26 = X30 ),
c_0_77 ).
fof(c_0_1220,plain,
! [X29,X28,X19,X4] :
( ~ c_in(X29,c_List_Olists(X19,X4),tc_List_Olist(X4))
| ~ c_in(X28,c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(c_append(X28,X29,X4),c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_1221,plain,
! [X13,X10,X4] :
( ~ c_in(c_Relation_Oconverse(X13,X10,X4),c_Finite__Set_OFinites,tc_set(tc_prod(X4,X10)))
| c_in(X13,c_Finite__Set_OFinites,tc_set(tc_prod(X10,X4))) ),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_1222,plain,
! [X16,X4] :
( ~ c_in(X16,c_Relation_OId,tc_prod(X4,X4))
| X16 = c_Pair(c_Main_OIdE__1(X16,X4),c_Main_OIdE__1(X16,X4),X4,X4) ),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_1223,plain,
! [X27,X15,X19,X4] :
( ~ c_in(X15,X19,X4)
| ~ c_in(X27,c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(c_List_Olist_OCons(X15,X27,X4),c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_1224,plain,
! [X13,X10,X4] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(tc_prod(X10,X4)))
| c_in(c_Relation_Oconverse(X13,X10,X4),c_Finite__Set_OFinites,tc_set(tc_prod(X4,X10))) ),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_1225,plain,
! [X29,X28,X19,X4] :
( ~ c_in(c_append(X28,X29,X4),c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(X28,c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_1226,plain,
! [X29,X28,X19,X4] :
( ~ c_in(c_append(X28,X29,X4),c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(X29,c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_1227,plain,
! [X26,X27,X19,X4] :
( ~ c_in(c_List_Olist_OCons(X26,X27,X4),c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(X27,c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_1228,plain,
! [X26,X19,X4] :
( ~ c_lessequals(X19,c_insert(X26,c_emptyset,X4),tc_set(X4))
| c_insert(X26,X19,X4) = c_insert(X26,c_emptyset,X4) ),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_1229,plain,
! [X26,X19,X4] :
( ~ c_lessequals(X19,c_insert(X26,c_emptyset,X4),tc_set(X4))
| c_insert(X26,c_emptyset,X4) = c_insert(X26,X19,X4) ),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_1230,plain,
! [X20,X18,X19,X4] :
( ~ c_in(X20,c_union(X19,X18,X4),X4)
| c_in(X20,X18,X4)
| c_in(X20,X19,X4) ),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_1231,plain,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X18,X4)
| ~ c_in(X20,c_minus(X19,X18,tc_set(X4)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_1232,plain,
! [X26,X27,X19,X4] :
( ~ c_in(c_List_Olist_OCons(X26,X27,X4),c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(X26,X19,X4) ),
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_1233,plain,
! [X33,X34,X4] :
( ~ c_in(X33,c_Finite__Set_OFinites,tc_set(X4))
| ~ c_in(X34,c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_union(X34,X33,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_1234,plain,
! [X1,X2] :
( ~ c_less(c_0,c_plus(X2,X1,tc_nat),tc_nat)
| c_less(c_0,X1,tc_nat)
| c_less(c_0,X2,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_1235,plain,
! [X28,X19,X4] :
( ~ c_in(c_Main_Oin__listsI__1(X19,X28,X4),X19,X4)
| c_in(X28,c_List_Olists(X19,X4),tc_List_Olist(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_1236,plain,
! [X21,X19,X4] :
( ~ c_in(X19,c_Main_OInterI__1(X19,X21,X4),X4)
| c_in(X19,c_Inter(X21,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_1237,plain,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X18,X4)
| ~ c_in(X20,X19,X4)
| c_in(X20,c_inter(X19,X18,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_1238,axiom,
! [X14,X15,X19,X4] :
( c_insert(X15,X19,X4) != c_insert(X14,c_emptyset,X4)
| c_lessequals(X19,c_insert(X14,c_emptyset,X4),tc_set(X4)) ),
c_0_96 ).
fof(c_0_1239,axiom,
! [X14,X15,X19,X4] :
( c_insert(X14,c_emptyset,X4) != c_insert(X15,X19,X4)
| c_lessequals(X19,c_insert(X14,c_emptyset,X4),tc_set(X4)) ),
c_0_97 ).
fof(c_0_1240,plain,
! [X19,X4] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(tc_set(X4)))
| ~ c_in(c_Main_Ofinite__Union__1(X19,X4),c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_Union(X19,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_1241,plain,
! [X20,X19,X4] :
( ~ c_in(X20,c_Relation_Odiag(X19,X4),tc_prod(X4,X4))
| c_in(c_Main_OdiagE__1(X19,X20,X4),X19,X4) ),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_1242,plain,
! [X20,X18,X19,X4] :
( ~ c_in(X20,c_minus(X19,X18,tc_set(X4)),X4)
| c_in(X20,X19,X4) ),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_1243,plain,
! [X33,X34,X4] :
( ~ c_in(c_union(X34,X33,X4),c_Finite__Set_OFinites,tc_set(X4))
| c_in(X34,c_Finite__Set_OFinites,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_1244,plain,
! [X33,X34,X4] :
( ~ c_in(c_union(X34,X33,X4),c_Finite__Set_OFinites,tc_set(X4))
| c_in(X33,c_Finite__Set_OFinites,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_1245,plain,
! [X28,X31,X19,X4] :
( ~ c_in(X28,c_List_Olists(X19,X4),tc_List_Olist(X4))
| ~ c_in(X31,c_List_Oset(X28,X4),X4)
| c_in(X31,X19,X4) ),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_1246,plain,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X19,X4)
| c_in(X20,X18,X4)
| c_in(X20,c_minus(X19,X18,tc_set(X4)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_1247,plain,
! [X18,X19,X4] :
( ~ c_in(c_Main_OsubsetI__1(X19,X18,X4),X18,X4)
| c_lessequals(X19,X18,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_1248,plain,
! [X14,X15,X19,X4] :
( ~ c_in(X15,c_insert(X14,X19,X4),X4)
| c_in(X15,X19,X4)
| X15 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_1249,plain,
! [X20,X18,X19,X4] :
( ~ c_in(X20,c_inter(X19,X18,X4),X4)
| c_in(X20,X18,X4) ),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_1250,plain,
! [X20,X18,X19,X4] :
( ~ c_in(X20,c_inter(X19,X18,X4),X4)
| c_in(X20,X19,X4) ),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_1251,plain,
! [X21,X19,X4] :
( ~ c_in(X19,c_Union(X21,X4),X4)
| c_in(c_Main_OUnionE__1(X19,X21,X4),X21,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_1252,axiom,
! [X29,X30,X28,X4] :
( c_List_Orev(X28,X4) != c_List_Olist_OCons(X30,X29,X4)
| X28 = c_append(c_List_Orev(X29,X4),c_List_Olist_OCons(X30,c_List_Olist_ONil,X4),X4) ),
c_0_110 ).
fof(c_0_1253,plain,
! [X21,X19,X4] :
( ~ c_in(X19,c_Union(X21,X4),X4)
| c_in(X19,c_Main_OUnionE__1(X19,X21,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_1254,plain,
! [X19,X4] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(tc_set(X4)))
| c_in(c_Main_Ofinite__Union__1(X19,X4),X19,tc_set(X4))
| c_in(c_Union(X19,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_1255,plain,
! [X40,X21,X19,X4] :
( ~ c_in(X40,X21,tc_set(X4))
| ~ c_in(X19,c_Inter(X21,X4),X4)
| c_in(X19,X40,X4) ),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_1256,plain,
! [X18,X19,X4] :
( ~ c_lessequals(c_uminus(X19,tc_set(X4)),c_uminus(X18,tc_set(X4)),tc_set(X4))
| c_lessequals(X18,X19,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_1257,axiom,
! [X28,X19,X4] :
( c_in(X28,c_List_Olists(X19,X4),tc_List_Olist(X4))
| c_in(c_Main_Oin__listsI__1(X19,X28,X4),c_List_Oset(X28,X4),X4) ),
c_0_115 ).
fof(c_0_1258,plain,
! [X40,X21,X19,X4] :
( ~ c_in(X19,X40,X4)
| ~ c_in(X40,X21,tc_set(X4))
| c_in(X19,c_Union(X21,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_1259,plain,
! [X15,X19,X4] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_insert(X15,X19,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_1260,plain,
! [X33,X34,X4] :
( ~ c_in(X34,c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_inter(X34,X33,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_1261,plain,
! [X33,X34,X4] :
( ~ c_in(X33,c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_inter(X34,X33,X4),c_Finite__Set_OFinites,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_1262,plain,
! [X14,X15,X4] :
( ~ c_in(X14,c_insert(X15,c_emptyset,X4),X4)
| X14 = X15 ),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_1263,axiom,
! [X21,X19,X4] :
( c_in(X19,c_Inter(X21,X4),X4)
| c_in(c_Main_OInterI__1(X19,X21,X4),X21,tc_set(X4)) ),
c_0_121 ).
fof(c_0_1264,plain,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X18,X4)
| c_in(X20,c_union(X19,X18,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_1265,plain,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X19,X4)
| c_in(X20,c_union(X19,X18,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_1266,plain,
! [X14,X15,X18,X4] :
( ~ c_in(X15,X18,X4)
| c_in(X15,c_insert(X14,X18,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_1267,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_lessequals(c_SetInterval_OatLeast(X26,X4),c_SetInterval_OatLeast(X30,X4),tc_set(X4))
| c_lessequals(X30,X26,X4) ),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_1268,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_lessequals(c_SetInterval_OatMost(X26,X4),c_SetInterval_OatMost(X30,X4),tc_set(X4))
| c_lessequals(X26,X30,X4) ),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_1269,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X26,X4),c_SetInterval_OgreaterThan(X30,X4),tc_set(X4))
| c_lessequals(X30,X26,X4) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_1270,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(c_SetInterval_OlessThan(X26,X4),c_SetInterval_OlessThan(X30,X4),tc_set(X4))
| c_lessequals(X26,X30,X4) ),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_1271,plain,
! [X1,X2] :
( ~ c_less(c_0,X2,tc_nat)
| c_less(c_0,c_plus(X2,X1,tc_nat),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_1272,plain,
! [X1,X2] :
( ~ c_less(c_0,X1,tc_nat)
| c_less(c_0,c_plus(X2,X1,tc_nat),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_1273,plain,
! [X20,X18,X19,X4] :
( ~ c_in(X20,X19,X4)
| ~ c_lessequals(X19,X18,tc_set(X4))
| c_in(X20,X18,X4) ),
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_1274,plain,
! [X13,X16,X4] :
( ~ c_in(X16,X13,tc_prod(X4,X4))
| c_in(X16,c_Transitive__Closure_Ortrancl(X13,X4),tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_1275,plain,
! [X18,X19,X4] :
( ~ c_lessequals(X18,X19,tc_set(X4))
| c_lessequals(c_uminus(X19,tc_set(X4)),c_uminus(X18,tc_set(X4)),tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_1276,plain,
! [X20,X19,X4] :
( ~ c_in(X20,X19,X4)
| ~ c_in(X20,c_uminus(X19,tc_set(X4)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_1277,axiom,
! [X18,X19,X4] :
( c_in(c_Main_OsubsetI__1(X19,X18,X4),X19,X4)
| c_lessequals(X19,X18,tc_set(X4)) ),
c_0_135 ).
fof(c_0_1278,plain,
! [X19,X4] :
( ~ c_in(c_Pow(X19,X4),c_Finite__Set_OFinites,tc_set(tc_set(X4)))
| c_in(X19,c_Finite__Set_OFinites,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_1279,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_lessequals(X30,X26,X4)
| c_lessequals(c_SetInterval_OatLeast(X26,X4),c_SetInterval_OatLeast(X30,X4),tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_1280,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_lessequals(X26,X30,X4)
| c_lessequals(c_SetInterval_OatMost(X26,X4),c_SetInterval_OatMost(X30,X4),tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_1281,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X30,X26,X4)
| c_lessequals(c_SetInterval_OgreaterThan(X26,X4),c_SetInterval_OgreaterThan(X30,X4),tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_1282,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X26,X30,X4)
| c_lessequals(c_SetInterval_OlessThan(X26,X4),c_SetInterval_OlessThan(X30,X4),tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_1283,plain,
! [X13,X4] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X13,X4,X4),X4)
| c_Wellfounded__Recursion_Oacyclic(X13,X4) ),
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_1284,plain,
! [X18,X19,X4] :
( ~ c_in(X19,c_Pow(X18,X4),tc_set(X4))
| c_lessequals(X19,X18,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_1285,plain,
! [X30,X26,X3,X4] :
( ~ c_Infinite__Set_Oatmost__one(X3,X4)
| ~ c_in(X30,X3,X4)
| ~ c_in(X26,X3,X4)
| X30 = X26 ),
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_1286,plain,
! [X18,X19,X4] :
( ~ c_lessequals(X18,X19,tc_set(X4))
| ~ c_lessequals(X19,X18,tc_set(X4))
| X19 = X18 ),
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_1287,plain,
! [X18,X19,X4] :
( ~ c_less(X19,X18,tc_set(X4))
| ~ c_lessequals(X18,X19,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_1288,plain,
! [X19,X4] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_Pow(X19,X4),c_Finite__Set_OFinites,tc_set(tc_set(X4))) ),
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_1289,plain,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_in(X42,c_SetInterval_OatLeast(X41,X4),X4)
| c_lessequals(X41,X42,X4) ),
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_1290,plain,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_in(X42,c_SetInterval_OatMost(X41,X4),X4)
| c_lessequals(X42,X41,X4) ),
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_1291,plain,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_in(X42,c_SetInterval_OgreaterThan(X41,X4),X4)
| c_less(X41,X42,X4) ),
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_1292,plain,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_in(X42,c_SetInterval_OlessThan(X41,X4),X4)
| c_less(X42,X41,X4) ),
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_1293,plain,
! [X18,X19,X4] :
( ~ c_lessequals(X19,X18,tc_set(X4))
| c_in(X19,c_Pow(X18,X4),tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_1294,plain,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_lessequals(X41,X42,X4)
| c_in(X42,c_SetInterval_OatLeast(X41,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_1295,plain,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_lessequals(X42,X41,X4)
| c_in(X42,c_SetInterval_OatMost(X41,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_1296,plain,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_less(X41,X42,X4)
| c_in(X42,c_SetInterval_OgreaterThan(X41,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_1297,plain,
! [X41,X42,X4] :
( ~ class_Orderings_Oord(X4)
| ~ c_less(X42,X41,X4)
| c_in(X42,c_SetInterval_OlessThan(X41,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_1298,axiom,
! [X14,X15,X10,X4] :
( c_Datatype__Universe_OAtom(X15,X4,X10) != c_Datatype__Universe_OAtom(X14,X4,X10)
| X15 = X14 ),
c_0_156 ).
fof(c_0_1299,axiom,
! [X35,X36,X10,X4] :
( c_Datatype__Universe_OIn0(X36,X4,X10) != c_Datatype__Universe_OIn0(X35,X4,X10)
| X36 = X35 ),
c_0_157 ).
fof(c_0_1300,axiom,
! [X35,X36,X10,X4] :
( c_Datatype__Universe_OIn1(X36,X4,X10) != c_Datatype__Universe_OIn1(X35,X4,X10)
| X36 = X35 ),
c_0_158 ).
fof(c_0_1301,axiom,
! [X45,X29,X28,X4] :
( c_append(X29,X28,X4) != c_append(X45,X28,X4)
| X29 = X45 ),
c_0_159 ).
fof(c_0_1302,axiom,
! [X46,X47,X44,X15,X4] :
( c_List_Olist_OCons(X15,X47,X4) != c_List_Olist_OCons(X44,X46,X4)
| X15 = X44 ),
c_0_160 ).
fof(c_0_1303,axiom,
! [X46,X47,X44,X15,X4] :
( c_List_Olist_OCons(X15,X47,X4) != c_List_Olist_OCons(X44,X46,X4)
| X47 = X46 ),
c_0_161 ).
fof(c_0_1304,axiom,
! [X45,X29,X28,X4] :
( c_append(X28,X29,X4) != c_append(X28,X45,X4)
| X29 = X45 ),
c_0_162 ).
fof(c_0_1305,axiom,
! [X30,X26,X10,X4] :
( c_Sum__Type_OInl(X26,X4,X10) != c_Sum__Type_OInl(X30,X4,X10)
| X26 = X30 ),
c_0_163 ).
fof(c_0_1306,axiom,
! [X30,X26,X10,X4] :
( c_Sum__Type_OInr(X26,X10,X4) != c_Sum__Type_OInr(X30,X10,X4)
| X26 = X30 ),
c_0_164 ).
fof(c_0_1307,axiom,
! [X30,X26,X10,X4] :
( c_Datatype__Universe_OLeaf(X26,X4,X10) != c_Datatype__Universe_OLeaf(X30,X4,X10)
| X26 = X30 ),
c_0_165 ).
fof(c_0_1308,axiom,
! [X30,X26,X10,X4] :
( c_Datatype__Universe_ONumb(X26,X4,X10) != c_Datatype__Universe_ONumb(X30,X4,X10)
| X26 = X30 ),
c_0_166 ).
fof(c_0_1309,plain,
! [X52,X39] :
( ~ c_Divides_Oop_Advd(X52,c_uminus(X39,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(X52,X39,tc_IntDef_Oint) ),
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_1310,plain,
! [X52,X39] :
( ~ c_Divides_Oop_Advd(c_uminus(X52,tc_IntDef_Oint),X39,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X52,X39,tc_IntDef_Oint) ),
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_1311,axiom,
! [X14,X15,X19,X4] :
( c_insert(X15,X19,X4) != c_insert(X14,c_emptyset,X4)
| X15 = X14 ),
c_0_169 ).
fof(c_0_1312,axiom,
! [X14,X15,X19,X4] :
( c_insert(X14,c_emptyset,X4) != c_insert(X15,X19,X4)
| X15 = X14 ),
c_0_170 ).
fof(c_0_1313,axiom,
! [X14,X15,X4] :
( c_insert(X15,c_emptyset,X4) != c_insert(X14,c_emptyset,X4)
| X15 = X14 ),
c_0_171 ).
fof(c_0_1314,axiom,
! [X2,X32] :
( c_Divides_Oop_Amod(X2,X32,tc_nat) != c_0
| X2 = c_times(X32,c_Main_Omod__eq__0D__dest__1(X32,X2),tc_nat) ),
c_0_172 ).
fof(c_0_1315,axiom,
! [X2,X32] :
( c_Divides_Oop_Amod(X2,X32,tc_IntDef_Oint) != c_0
| X2 = c_times(X32,c_Main_Ozmod__eq__0D__dest__1(X32,X2),tc_IntDef_Oint) ),
c_0_173 ).
fof(c_0_1316,plain,
! [X52,X39] :
( ~ c_Divides_Oop_Advd(X52,X39,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X52,c_uminus(X39,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_1317,plain,
! [X52,X39] :
( ~ c_Divides_Oop_Advd(X52,X39,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X52,tc_IntDef_Oint),X39,tc_IntDef_Oint) ),
inference(fof_simplification,[status(thm)],[c_0_175]) ).
fof(c_0_1318,plain,
! [X18,X19,X4] :
( ~ c_lessequals(X19,X18,tc_set(X4))
| c_less(X19,X18,tc_set(X4))
| X19 = X18 ),
inference(fof_simplification,[status(thm)],[c_0_176]) ).
fof(c_0_1319,plain,
! [X18,X19,X4] :
( ~ c_less(X19,X18,tc_set(X4))
| c_lessequals(X19,X18,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_1320,plain,
! [X1,X2] :
( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_178]) ).
fof(c_0_1321,plain,
! [X1,X2] :
( ~ c_less(c_Suc(X2),c_Suc(X1),tc_nat)
| c_less(X2,X1,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_1322,plain,
! [X1,X2] :
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_180]) ).
fof(c_0_1323,plain,
! [X1,X2] :
( ~ c_less(X2,X1,tc_nat)
| c_less(c_Suc(X2),c_Suc(X1),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_181]) ).
fof(c_0_1324,axiom,
! [X20,X19,X4] :
( c_in(X20,X19,X4)
| c_in(X20,c_uminus(X19,tc_set(X4)),X4) ),
c_0_182 ).
fof(c_0_1325,plain,
! [X13,X4] :
( ~ c_Wellfounded__Recursion_Oacyclic(X13,X4)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X13,X4,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_1326,plain,
! [X53,X26,X4] :
( ~ c_in(X26,c_Datatype_Oo2s(X53,X4),X4)
| X53 = c_Datatype_Ooption_OSome(X26,X4) ),
inference(fof_simplification,[status(thm)],[c_0_184]) ).
fof(c_0_1327,axiom,
! [X28,X4] :
( c_Nat_Osize(c_List_Oremdups(X28,X4),tc_List_Olist(X4)) != c_Nat_Osize(X28,tc_List_Olist(X4))
| c_List_Oremdups(X28,X4) = X28 ),
c_0_185 ).
fof(c_0_1328,plain,
! [X26,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_less(X26,X26,X4) ),
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_1329,axiom,
! [X28,X4] :
( c_less(c_0,c_Nat_Osize(X28,tc_List_Olist(X4)),tc_nat)
| X28 = c_List_Olist_ONil ),
c_0_187 ).
fof(c_0_1330,axiom,
! [X28,X4] :
( c_List_Oremdups(X28,X4) != X28
| c_Nat_Osize(c_List_Oremdups(X28,X4),tc_List_Olist(X4)) = c_Nat_Osize(X28,tc_List_Olist(X4)) ),
c_0_188 ).
fof(c_0_1331,plain,
! [X1] :
( ~ c_less(X1,c_Suc(c_0),tc_nat)
| X1 = c_0 ),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_1332,axiom,
! [X29,X28,X4] :
( c_append(X28,X29,X4) != X29
| X28 = c_List_Olist_ONil ),
c_0_190 ).
fof(c_0_1333,axiom,
! [X29,X28,X4] :
( c_append(X28,X29,X4) != X28
| X29 = c_List_Olist_ONil ),
c_0_191 ).
fof(c_0_1334,axiom,
! [X29,X28,X4] :
( X29 != c_append(X28,X29,X4)
| X28 = c_List_Olist_ONil ),
c_0_192 ).
fof(c_0_1335,axiom,
! [X29,X28,X4] :
( X28 != c_append(X28,X29,X4)
| X29 = c_List_Olist_ONil ),
c_0_193 ).
fof(c_0_1336,axiom,
! [X13,X19,X4] :
( c_emptyset != c_Equiv__Relations_Oquotient(X19,X13,X4)
| X19 = c_emptyset ),
c_0_194 ).
fof(c_0_1337,axiom,
! [X13,X19,X4] :
( c_Equiv__Relations_Oquotient(X19,X13,X4) != c_emptyset
| X19 = c_emptyset ),
c_0_195 ).
fof(c_0_1338,axiom,
! [X29,X28,X4] :
( c_List_Olist_ONil != c_append(X28,X29,X4)
| X28 = c_List_Olist_ONil ),
c_0_196 ).
fof(c_0_1339,axiom,
! [X29,X28,X4] :
( c_List_Olist_ONil != c_append(X28,X29,X4)
| X29 = c_List_Olist_ONil ),
c_0_197 ).
fof(c_0_1340,axiom,
! [X29,X28,X4] :
( c_append(X28,X29,X4) != c_List_Olist_ONil
| X28 = c_List_Olist_ONil ),
c_0_198 ).
fof(c_0_1341,axiom,
! [X29,X28,X4] :
( c_append(X28,X29,X4) != c_List_Olist_ONil
| X29 = c_List_Olist_ONil ),
c_0_199 ).
fof(c_0_1342,axiom,
! [X18,X19,X4] :
( c_union(X19,X18,X4) != c_emptyset
| X19 = c_emptyset ),
c_0_200 ).
fof(c_0_1343,axiom,
! [X18,X19,X4] :
( c_union(X19,X18,X4) != c_emptyset
| X18 = c_emptyset ),
c_0_201 ).
fof(c_0_1344,axiom,
! [X1,X2] :
( c_plus(X2,X1,tc_nat) != c_0
| X2 = c_0 ),
c_0_202 ).
fof(c_0_1345,axiom,
! [X1,X2] :
( c_plus(X2,X1,tc_nat) != c_0
| X1 = c_0 ),
c_0_203 ).
fof(c_0_1346,plain,
! [X2] :
( ~ c_Divides_Oop_Advd(c_0,X2,tc_nat)
| X2 = c_0 ),
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_1347,plain,
! [X2] :
( ~ c_Divides_Oop_Advd(c_0,X2,tc_IntDef_Oint)
| X2 = c_0 ),
inference(fof_simplification,[status(thm)],[c_0_205]) ).
fof(c_0_1348,plain,
! [X42] :
( ~ c_lessequals(X42,c_0,tc_nat)
| X42 = c_0 ),
inference(fof_simplification,[status(thm)],[c_0_206]) ).
fof(c_0_1349,plain,
! [X1] :
( ~ c_less(X1,c_1,tc_nat)
| X1 = c_0 ),
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_1350,plain,
! [X13,X4] :
( ~ c_Wellfounded__Recursion_Owf(X13,X4)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X13,X4),tc_List_Olist(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_1351,plain,
! [X13,X4] :
( ~ c_Wellfounded__Recursion_Owf(X13,X4)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X13,X4),tc_List_Olist(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_209]) ).
fof(c_0_1352,axiom,
! [X18,X19,X4] :
( c_uminus(X19,tc_set(X4)) != c_uminus(X18,tc_set(X4))
| X19 = X18 ),
c_0_210 ).
fof(c_0_1353,plain,
! [X26,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X26,X26,X4) ),
inference(fof_simplification,[status(thm)],[c_0_211]) ).
fof(c_0_1354,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_SetInterval_OatLeast(X26,X4) != c_SetInterval_OatLeast(X30,X4)
| X26 = X30 ),
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_1355,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_SetInterval_OatMost(X26,X4) != c_SetInterval_OatMost(X30,X4)
| X26 = X30 ),
inference(fof_simplification,[status(thm)],[c_0_213]) ).
fof(c_0_1356,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_SetInterval_OgreaterThan(X26,X4) != c_SetInterval_OgreaterThan(X30,X4)
| X26 = X30 ),
inference(fof_simplification,[status(thm)],[c_0_214]) ).
fof(c_0_1357,plain,
! [X30,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_SetInterval_OlessThan(X26,X4) != c_SetInterval_OlessThan(X30,X4)
| X26 = X30 ),
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_1358,axiom,
! [X1] :
( c_less(c_0,X1,tc_nat)
| X1 = c_0 ),
c_0_216 ).
fof(c_0_1359,axiom,
! [X44,X15,X4] :
( c_Datatype_Ooption_OSome(X15,X4) != c_Datatype_Ooption_OSome(X44,X4)
| X15 = X44 ),
c_0_217 ).
fof(c_0_1360,axiom,
! [X48,X49,X50,X51] :
( c_List_Ochar_OChar(X51,X49) != c_List_Ochar_OChar(X50,X48)
| X51 = X50 ),
c_0_218 ).
fof(c_0_1361,axiom,
! [X48,X49,X50,X51] :
( c_List_Ochar_OChar(X51,X49) != c_List_Ochar_OChar(X50,X48)
| X49 = X48 ),
c_0_219 ).
fof(c_0_1362,axiom,
! [X29,X28,X4] :
( c_List_Orev(X28,X4) != c_List_Orev(X29,X4)
| X28 = X29 ),
c_0_220 ).
fof(c_0_1363,plain,
! [X6,X7] :
( class_Finite__Set_Ofinite(tc_fun(X6,X7))
| ~ class_Finite__Set_Ofinite(X7)
| ~ class_Finite__Set_Ofinite(X6) ),
inference(fof_simplification,[status(thm)],[c_0_221]) ).
fof(c_0_1364,plain,
! [X6,X7] :
( class_Finite__Set_Ofinite(tc_prod(X6,X7))
| ~ class_Finite__Set_Ofinite(X7)
| ~ class_Finite__Set_Ofinite(X6) ),
inference(fof_simplification,[status(thm)],[c_0_222]) ).
fof(c_0_1365,plain,
! [X6,X7] :
( class_Finite__Set_Ofinite(tc_sum(X6,X7))
| ~ class_Finite__Set_Ofinite(X7)
| ~ class_Finite__Set_Ofinite(X6) ),
inference(fof_simplification,[status(thm)],[c_0_223]) ).
fof(c_0_1366,axiom,
! [X26,X4] :
( X26 = c_Datatype_Ooption_ONone
| X26 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X26,X4),X4) ),
c_0_224 ).
fof(c_0_1367,axiom,
! [X26,X4] :
( X26 = c_Datatype_Ooption_ONone
| X26 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X26,X4),X4) ),
c_0_225 ).
fof(c_0_1368,axiom,
! [X28,X4] :
( c_Nat_Osize(X28,tc_List_Olist(X4)) != c_0
| X28 = c_List_Olist_ONil ),
c_0_226 ).
fof(c_0_1369,axiom,
! [X28,X4] :
( c_List_Olist_ONil != c_List_Orev(X28,X4)
| X28 = c_List_Olist_ONil ),
c_0_227 ).
fof(c_0_1370,axiom,
! [X28,X4] :
( c_List_Orev(X28,X4) != c_List_Olist_ONil
| X28 = c_List_Olist_ONil ),
c_0_228 ).
fof(c_0_1371,axiom,
! [X28,X4] :
( c_emptyset != c_List_Oset(X28,X4)
| X28 = c_List_Olist_ONil ),
c_0_229 ).
fof(c_0_1372,axiom,
! [X28,X4] :
( c_List_Oset(X28,X4) != c_emptyset
| X28 = c_List_Olist_ONil ),
c_0_230 ).
fof(c_0_1373,plain,
! [X7] :
( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X7))
| ~ class_Finite__Set_Ofinite(X7) ),
inference(fof_simplification,[status(thm)],[c_0_231]) ).
fof(c_0_1374,plain,
! [X7] :
( class_Finite__Set_Ofinite(tc_set(X7))
| ~ class_Finite__Set_Ofinite(X7) ),
inference(fof_simplification,[status(thm)],[c_0_232]) ).
fof(c_0_1375,axiom,
! [X1,X2] :
( c_IntDef_Oint(X2) != c_IntDef_Oint(X1)
| X2 = X1 ),
c_0_233 ).
fof(c_0_1376,axiom,
! [X1,X2] :
( c_Suc(X2) != c_Suc(X1)
| X2 = X1 ),
c_0_234 ).
fof(c_0_1377,plain,
! [X5] :
( ~ class_LOrder_Ojoin__semilorder(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_235]) ).
fof(c_0_1378,plain,
! [X5] :
( ~ class_LOrder_Ojoin__semilorder(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_236]) ).
fof(c_0_1379,plain,
! [X5] :
( ~ class_LOrder_Olorder(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_237]) ).
fof(c_0_1380,plain,
! [X5] :
( ~ class_LOrder_Olorder(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_238]) ).
fof(c_0_1381,plain,
! [X5] :
( ~ class_LOrder_Olorder(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_239]) ).
fof(c_0_1382,plain,
! [X5] :
( ~ class_LOrder_Olorder(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_240]) ).
fof(c_0_1383,plain,
! [X5] :
( ~ class_LOrder_Omeet__semilorder(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_241]) ).
fof(c_0_1384,plain,
! [X5] :
( ~ class_LOrder_Omeet__semilorder(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_242]) ).
fof(c_0_1385,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_243]) ).
fof(c_0_1386,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_244]) ).
fof(c_0_1387,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_245]) ).
fof(c_0_1388,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_246]) ).
fof(c_0_1389,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_247]) ).
fof(c_0_1390,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_248]) ).
fof(c_0_1391,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_249]) ).
fof(c_0_1392,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_250]) ).
fof(c_0_1393,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_251]) ).
fof(c_0_1394,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_252]) ).
fof(c_0_1395,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_253]) ).
fof(c_0_1396,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_254]) ).
fof(c_0_1397,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_255]) ).
fof(c_0_1398,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_256]) ).
fof(c_0_1399,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_257]) ).
fof(c_0_1400,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_258]) ).
fof(c_0_1401,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_259]) ).
fof(c_0_1402,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_260]) ).
fof(c_0_1403,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_261]) ).
fof(c_0_1404,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_262]) ).
fof(c_0_1405,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Oring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_263]) ).
fof(c_0_1406,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_264]) ).
fof(c_0_1407,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__ring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_265]) ).
fof(c_0_1408,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_266]) ).
fof(c_0_1409,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Numeral_Onumber(X5) ),
inference(fof_simplification,[status(thm)],[c_0_267]) ).
fof(c_0_1410,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_268]) ).
fof(c_0_1411,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_269]) ).
fof(c_0_1412,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_270]) ).
fof(c_0_1413,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_271]) ).
fof(c_0_1414,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_272]) ).
fof(c_0_1415,plain,
! [X5] :
( ~ class_Numeral_Onumber__ring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_273]) ).
fof(c_0_1416,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_274]) ).
fof(c_0_1417,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_275]) ).
fof(c_0_1418,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_276]) ).
fof(c_0_1419,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_277]) ).
fof(c_0_1420,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_278]) ).
fof(c_0_1421,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_279]) ).
fof(c_0_1422,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_280]) ).
fof(c_0_1423,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__group__add(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_281]) ).
fof(c_0_1424,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_282]) ).
fof(c_0_1425,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_283]) ).
fof(c_0_1426,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_284]) ).
fof(c_0_1427,plain,
! [X5] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_285]) ).
fof(c_0_1428,plain,
! [X5] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_286]) ).
fof(c_0_1429,plain,
! [X5] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_287]) ).
fof(c_0_1430,plain,
! [X5] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_288]) ).
fof(c_0_1431,plain,
! [X5] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_289]) ).
fof(c_0_1432,plain,
! [X5] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_290]) ).
fof(c_0_1433,plain,
! [X5] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_291]) ).
fof(c_0_1434,plain,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_292]) ).
fof(c_0_1435,plain,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_293]) ).
fof(c_0_1436,plain,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_294]) ).
fof(c_0_1437,plain,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_295]) ).
fof(c_0_1438,plain,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_296]) ).
fof(c_0_1439,plain,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_297]) ).
fof(c_0_1440,plain,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_298]) ).
fof(c_0_1441,plain,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_299]) ).
fof(c_0_1442,plain,
! [X5] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_300]) ).
fof(c_0_1443,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_301]) ).
fof(c_0_1444,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_302]) ).
fof(c_0_1445,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_303]) ).
fof(c_0_1446,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_304]) ).
fof(c_0_1447,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_305]) ).
fof(c_0_1448,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_306]) ).
fof(c_0_1449,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_307]) ).
fof(c_0_1450,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_308]) ).
fof(c_0_1451,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_309]) ).
fof(c_0_1452,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_310]) ).
fof(c_0_1453,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_311]) ).
fof(c_0_1454,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_312]) ).
fof(c_0_1455,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_313]) ).
fof(c_0_1456,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_314]) ).
fof(c_0_1457,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_315]) ).
fof(c_0_1458,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_316]) ).
fof(c_0_1459,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_317]) ).
fof(c_0_1460,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_318]) ).
fof(c_0_1461,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
inference(fof_simplification,[status(thm)],[c_0_319]) ).
fof(c_0_1462,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_320]) ).
fof(c_0_1463,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_321]) ).
fof(c_0_1464,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_322]) ).
fof(c_0_1465,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_323]) ).
fof(c_0_1466,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_324]) ).
fof(c_0_1467,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_325]) ).
fof(c_0_1468,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_326]) ).
fof(c_0_1469,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_327]) ).
fof(c_0_1470,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_328]) ).
fof(c_0_1471,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_329]) ).
fof(c_0_1472,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_330]) ).
fof(c_0_1473,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_331]) ).
fof(c_0_1474,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_332]) ).
fof(c_0_1475,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_333]) ).
fof(c_0_1476,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_334]) ).
fof(c_0_1477,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_335]) ).
fof(c_0_1478,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_336]) ).
fof(c_0_1479,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_337]) ).
fof(c_0_1480,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_338]) ).
fof(c_0_1481,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_339]) ).
fof(c_0_1482,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_340]) ).
fof(c_0_1483,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_341]) ).
fof(c_0_1484,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_342]) ).
fof(c_0_1485,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_343]) ).
fof(c_0_1486,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_344]) ).
fof(c_0_1487,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_345]) ).
fof(c_0_1488,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
inference(fof_simplification,[status(thm)],[c_0_346]) ).
fof(c_0_1489,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_347]) ).
fof(c_0_1490,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_348]) ).
fof(c_0_1491,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_349]) ).
fof(c_0_1492,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_350]) ).
fof(c_0_1493,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_351]) ).
fof(c_0_1494,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_352]) ).
fof(c_0_1495,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_353]) ).
fof(c_0_1496,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_354]) ).
fof(c_0_1497,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_355]) ).
fof(c_0_1498,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_356]) ).
fof(c_0_1499,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_357]) ).
fof(c_0_1500,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_358]) ).
fof(c_0_1501,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_359]) ).
fof(c_0_1502,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_360]) ).
fof(c_0_1503,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_361]) ).
fof(c_0_1504,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_362]) ).
fof(c_0_1505,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_363]) ).
fof(c_0_1506,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_364]) ).
fof(c_0_1507,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
inference(fof_simplification,[status(thm)],[c_0_365]) ).
fof(c_0_1508,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_366]) ).
fof(c_0_1509,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_367]) ).
fof(c_0_1510,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_368]) ).
fof(c_0_1511,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_369]) ).
fof(c_0_1512,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_370]) ).
fof(c_0_1513,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_371]) ).
fof(c_0_1514,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_372]) ).
fof(c_0_1515,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_373]) ).
fof(c_0_1516,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_374]) ).
fof(c_0_1517,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_375]) ).
fof(c_0_1518,plain,
! [X5] :
( ~ class_OrderedGroup_Omonoid__mult(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_376]) ).
fof(c_0_1519,plain,
! [X5] :
( ~ class_OrderedGroup_Omonoid__mult(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_377]) ).
fof(c_0_1520,plain,
! [X5] :
( ~ class_OrderedGroup_Omonoid__mult(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_378]) ).
fof(c_0_1521,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_379]) ).
fof(c_0_1522,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_380]) ).
fof(c_0_1523,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_381]) ).
fof(c_0_1524,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_382]) ).
fof(c_0_1525,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_383]) ).
fof(c_0_1526,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_384]) ).
fof(c_0_1527,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_385]) ).
fof(c_0_1528,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_386]) ).
fof(c_0_1529,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_387]) ).
fof(c_0_1530,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_388]) ).
fof(c_0_1531,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_389]) ).
fof(c_0_1532,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_390]) ).
fof(c_0_1533,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_391]) ).
fof(c_0_1534,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5)
| class_Orderings_Olinorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_392]) ).
fof(c_0_1535,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_393]) ).
fof(c_0_1536,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_394]) ).
fof(c_0_1537,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_395]) ).
fof(c_0_1538,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_396]) ).
fof(c_0_1539,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_397]) ).
fof(c_0_1540,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_398]) ).
fof(c_0_1541,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_399]) ).
fof(c_0_1542,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_400]) ).
fof(c_0_1543,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_401]) ).
fof(c_0_1544,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_402]) ).
fof(c_0_1545,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_403]) ).
fof(c_0_1546,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_404]) ).
fof(c_0_1547,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_405]) ).
fof(c_0_1548,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_406]) ).
fof(c_0_1549,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_407]) ).
fof(c_0_1550,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_408]) ).
fof(c_0_1551,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_409]) ).
fof(c_0_1552,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_410]) ).
fof(c_0_1553,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_411]) ).
fof(c_0_1554,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_412]) ).
fof(c_0_1555,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_413]) ).
fof(c_0_1556,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_414]) ).
fof(c_0_1557,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_415]) ).
fof(c_0_1558,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_416]) ).
fof(c_0_1559,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_417]) ).
fof(c_0_1560,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_418]) ).
fof(c_0_1561,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_419]) ).
fof(c_0_1562,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_420]) ).
fof(c_0_1563,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_421]) ).
fof(c_0_1564,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_422]) ).
fof(c_0_1565,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_423]) ).
fof(c_0_1566,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_424]) ).
fof(c_0_1567,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_425]) ).
fof(c_0_1568,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_426]) ).
fof(c_0_1569,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_427]) ).
fof(c_0_1570,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_428]) ).
fof(c_0_1571,plain,
! [X5] :
( ~ class_OrderedGroup_Osemigroup__add(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_429]) ).
fof(c_0_1572,plain,
! [X5] :
( ~ class_OrderedGroup_Osemigroup__mult(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_430]) ).
fof(c_0_1573,plain,
! [X5] :
( ~ class_Orderings_Olinorder(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_431]) ).
fof(c_0_1574,plain,
! [X5] :
( ~ class_Orderings_Olinorder(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_432]) ).
fof(c_0_1575,plain,
! [X5] :
( ~ class_Orderings_Olinorder(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_433]) ).
fof(c_0_1576,plain,
! [X5] :
( ~ class_Orderings_Olinorder(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_434]) ).
fof(c_0_1577,plain,
! [X5] :
( ~ class_Orderings_Olinorder(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_435]) ).
fof(c_0_1578,plain,
! [X5] :
( ~ class_Orderings_Oorder(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_436]) ).
fof(c_0_1579,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Nat_Opower(X5) ),
inference(fof_simplification,[status(thm)],[c_0_437]) ).
fof(c_0_1580,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_438]) ).
fof(c_0_1581,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_439]) ).
fof(c_0_1582,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_440]) ).
fof(c_0_1583,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_441]) ).
fof(c_0_1584,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_442]) ).
fof(c_0_1585,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_443]) ).
fof(c_0_1586,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_444]) ).
fof(c_0_1587,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_445]) ).
fof(c_0_1588,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_446]) ).
fof(c_0_1589,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_447]) ).
fof(c_0_1590,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_448]) ).
fof(c_0_1591,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_449]) ).
fof(c_0_1592,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_450]) ).
fof(c_0_1593,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_451]) ).
fof(c_0_1594,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_452]) ).
fof(c_0_1595,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_453]) ).
fof(c_0_1596,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_454]) ).
fof(c_0_1597,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_455]) ).
fof(c_0_1598,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_456]) ).
fof(c_0_1599,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_457]) ).
fof(c_0_1600,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_458]) ).
fof(c_0_1601,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_459]) ).
fof(c_0_1602,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_460]) ).
fof(c_0_1603,plain,
! [X5] :
( ~ class_Power_Orecpower(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_461]) ).
fof(c_0_1604,plain,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_462]) ).
fof(c_0_1605,plain,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_463]) ).
fof(c_0_1606,plain,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_464]) ).
fof(c_0_1607,plain,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_465]) ).
fof(c_0_1608,plain,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_466]) ).
fof(c_0_1609,plain,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_467]) ).
fof(c_0_1610,plain,
! [X5] :
( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_468]) ).
fof(c_0_1611,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_469]) ).
fof(c_0_1612,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_470]) ).
fof(c_0_1613,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_471]) ).
fof(c_0_1614,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_472]) ).
fof(c_0_1615,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_473]) ).
fof(c_0_1616,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_474]) ).
fof(c_0_1617,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_475]) ).
fof(c_0_1618,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_476]) ).
fof(c_0_1619,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_477]) ).
fof(c_0_1620,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_478]) ).
fof(c_0_1621,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_479]) ).
fof(c_0_1622,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_480]) ).
fof(c_0_1623,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_481]) ).
fof(c_0_1624,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_482]) ).
fof(c_0_1625,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_483]) ).
fof(c_0_1626,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_484]) ).
fof(c_0_1627,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_485]) ).
fof(c_0_1628,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_486]) ).
fof(c_0_1629,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_487]) ).
fof(c_0_1630,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_488]) ).
fof(c_0_1631,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_489]) ).
fof(c_0_1632,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_490]) ).
fof(c_0_1633,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_491]) ).
fof(c_0_1634,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_492]) ).
fof(c_0_1635,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_493]) ).
fof(c_0_1636,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_494]) ).
fof(c_0_1637,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_495]) ).
fof(c_0_1638,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_496]) ).
fof(c_0_1639,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_497]) ).
fof(c_0_1640,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_498]) ).
fof(c_0_1641,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_499]) ).
fof(c_0_1642,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_500]) ).
fof(c_0_1643,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_501]) ).
fof(c_0_1644,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_502]) ).
fof(c_0_1645,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_503]) ).
fof(c_0_1646,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_504]) ).
fof(c_0_1647,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_505]) ).
fof(c_0_1648,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_506]) ).
fof(c_0_1649,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Oring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_507]) ).
fof(c_0_1650,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_508]) ).
fof(c_0_1651,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_509]) ).
fof(c_0_1652,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_510]) ).
fof(c_0_1653,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_511]) ).
fof(c_0_1654,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_512]) ).
fof(c_0_1655,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_513]) ).
fof(c_0_1656,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_514]) ).
fof(c_0_1657,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_515]) ).
fof(c_0_1658,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_516]) ).
fof(c_0_1659,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_517]) ).
fof(c_0_1660,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_518]) ).
fof(c_0_1661,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_519]) ).
fof(c_0_1662,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_520]) ).
fof(c_0_1663,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_521]) ).
fof(c_0_1664,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_522]) ).
fof(c_0_1665,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_523]) ).
fof(c_0_1666,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_524]) ).
fof(c_0_1667,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_525]) ).
fof(c_0_1668,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_526]) ).
fof(c_0_1669,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_527]) ).
fof(c_0_1670,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_528]) ).
fof(c_0_1671,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_529]) ).
fof(c_0_1672,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_530]) ).
fof(c_0_1673,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_531]) ).
fof(c_0_1674,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_532]) ).
fof(c_0_1675,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_533]) ).
fof(c_0_1676,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_534]) ).
fof(c_0_1677,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_535]) ).
fof(c_0_1678,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_536]) ).
fof(c_0_1679,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_537]) ).
fof(c_0_1680,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_538]) ).
fof(c_0_1681,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_539]) ).
fof(c_0_1682,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_540]) ).
fof(c_0_1683,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_541]) ).
fof(c_0_1684,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_542]) ).
fof(c_0_1685,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_543]) ).
fof(c_0_1686,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_544]) ).
fof(c_0_1687,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_545]) ).
fof(c_0_1688,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_546]) ).
fof(c_0_1689,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_547]) ).
fof(c_0_1690,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_548]) ).
fof(c_0_1691,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_549]) ).
fof(c_0_1692,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_550]) ).
fof(c_0_1693,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_551]) ).
fof(c_0_1694,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_552]) ).
fof(c_0_1695,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_553]) ).
fof(c_0_1696,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_554]) ).
fof(c_0_1697,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_555]) ).
fof(c_0_1698,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_556]) ).
fof(c_0_1699,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_557]) ).
fof(c_0_1700,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_558]) ).
fof(c_0_1701,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_559]) ).
fof(c_0_1702,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_560]) ).
fof(c_0_1703,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_561]) ).
fof(c_0_1704,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_562]) ).
fof(c_0_1705,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_563]) ).
fof(c_0_1706,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_564]) ).
fof(c_0_1707,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_565]) ).
fof(c_0_1708,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_566]) ).
fof(c_0_1709,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_567]) ).
fof(c_0_1710,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_568]) ).
fof(c_0_1711,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_569]) ).
fof(c_0_1712,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_570]) ).
fof(c_0_1713,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_571]) ).
fof(c_0_1714,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_572]) ).
fof(c_0_1715,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_573]) ).
fof(c_0_1716,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_574]) ).
fof(c_0_1717,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_575]) ).
fof(c_0_1718,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_576]) ).
fof(c_0_1719,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_577]) ).
fof(c_0_1720,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_578]) ).
fof(c_0_1721,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_579]) ).
fof(c_0_1722,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_580]) ).
fof(c_0_1723,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_581]) ).
fof(c_0_1724,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_582]) ).
fof(c_0_1725,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_583]) ).
fof(c_0_1726,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_584]) ).
fof(c_0_1727,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_585]) ).
fof(c_0_1728,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_586]) ).
fof(c_0_1729,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_587]) ).
fof(c_0_1730,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_588]) ).
fof(c_0_1731,plain,
! [X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_589]) ).
fof(c_0_1732,plain,
! [X5] :
( ~ class_Ring__and__Field_Odivision__by__zero(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_590]) ).
fof(c_0_1733,plain,
! [X5] :
( ~ class_Ring__and__Field_Odivision__by__zero(X5)
| class_HOL_Oinverse(X5) ),
inference(fof_simplification,[status(thm)],[c_0_591]) ).
fof(c_0_1734,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__ring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_592]) ).
fof(c_0_1735,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_593]) ).
fof(c_0_1736,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_594]) ).
fof(c_0_1737,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_595]) ).
fof(c_0_1738,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_596]) ).
fof(c_0_1739,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_597]) ).
fof(c_0_1740,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_598]) ).
fof(c_0_1741,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_599]) ).
fof(c_0_1742,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_600]) ).
fof(c_0_1743,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_601]) ).
fof(c_0_1744,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_602]) ).
fof(c_0_1745,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_603]) ).
fof(c_0_1746,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Oring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_604]) ).
fof(c_0_1747,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_605]) ).
fof(c_0_1748,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_606]) ).
fof(c_0_1749,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_607]) ).
fof(c_0_1750,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_608]) ).
fof(c_0_1751,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_609]) ).
fof(c_0_1752,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_610]) ).
fof(c_0_1753,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_611]) ).
fof(c_0_1754,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_612]) ).
fof(c_0_1755,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_613]) ).
fof(c_0_1756,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_614]) ).
fof(c_0_1757,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_615]) ).
fof(c_0_1758,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Oinverse(X5) ),
inference(fof_simplification,[status(thm)],[c_0_616]) ).
fof(c_0_1759,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Oidom(X5) ),
inference(fof_simplification,[status(thm)],[c_0_617]) ).
fof(c_0_1760,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X5) ),
inference(fof_simplification,[status(thm)],[c_0_618]) ).
fof(c_0_1761,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_619]) ).
fof(c_0_1762,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_620]) ).
fof(c_0_1763,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_621]) ).
fof(c_0_1764,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_622]) ).
fof(c_0_1765,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_623]) ).
fof(c_0_1766,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_624]) ).
fof(c_0_1767,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__ring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_625]) ).
fof(c_0_1768,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_626]) ).
fof(c_0_1769,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_627]) ).
fof(c_0_1770,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_628]) ).
fof(c_0_1771,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_629]) ).
fof(c_0_1772,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_630]) ).
fof(c_0_1773,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_631]) ).
fof(c_0_1774,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_632]) ).
fof(c_0_1775,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_633]) ).
fof(c_0_1776,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_634]) ).
fof(c_0_1777,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_635]) ).
fof(c_0_1778,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_636]) ).
fof(c_0_1779,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Oring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_637]) ).
fof(c_0_1780,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_638]) ).
fof(c_0_1781,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_639]) ).
fof(c_0_1782,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_640]) ).
fof(c_0_1783,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_641]) ).
fof(c_0_1784,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_642]) ).
fof(c_0_1785,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_643]) ).
fof(c_0_1786,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_644]) ).
fof(c_0_1787,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_645]) ).
fof(c_0_1788,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_646]) ).
fof(c_0_1789,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_647]) ).
fof(c_0_1790,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_648]) ).
fof(c_0_1791,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X5) ),
inference(fof_simplification,[status(thm)],[c_0_649]) ).
fof(c_0_1792,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_650]) ).
fof(c_0_1793,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_651]) ).
fof(c_0_1794,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_652]) ).
fof(c_0_1795,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_653]) ).
fof(c_0_1796,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_654]) ).
fof(c_0_1797,plain,
! [X5] :
( ~ class_Ring__and__Field_Oidom(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_655]) ).
fof(c_0_1798,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Opordered__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_656]) ).
fof(c_0_1799,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_657]) ).
fof(c_0_1800,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_658]) ).
fof(c_0_1801,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_659]) ).
fof(c_0_1802,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_660]) ).
fof(c_0_1803,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_661]) ).
fof(c_0_1804,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_662]) ).
fof(c_0_1805,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_663]) ).
fof(c_0_1806,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_664]) ).
fof(c_0_1807,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_665]) ).
fof(c_0_1808,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_666]) ).
fof(c_0_1809,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_667]) ).
fof(c_0_1810,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_668]) ).
fof(c_0_1811,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_669]) ).
fof(c_0_1812,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_670]) ).
fof(c_0_1813,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_671]) ).
fof(c_0_1814,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_672]) ).
fof(c_0_1815,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
inference(fof_simplification,[status(thm)],[c_0_673]) ).
fof(c_0_1816,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
inference(fof_simplification,[status(thm)],[c_0_674]) ).
fof(c_0_1817,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_675]) ).
fof(c_0_1818,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_676]) ).
fof(c_0_1819,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_677]) ).
fof(c_0_1820,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Olordered__ab__group__meet(X5) ),
inference(fof_simplification,[status(thm)],[c_0_678]) ).
fof(c_0_1821,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_679]) ).
fof(c_0_1822,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Olordered__ab__group__join(X5) ),
inference(fof_simplification,[status(thm)],[c_0_680]) ).
fof(c_0_1823,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_681]) ).
fof(c_0_1824,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_682]) ).
fof(c_0_1825,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_683]) ).
fof(c_0_1826,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_684]) ).
fof(c_0_1827,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_685]) ).
fof(c_0_1828,plain,
! [X5] :
( ~ class_Ring__and__Field_Olordered__ring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_686]) ).
fof(c_0_1829,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_687]) ).
fof(c_0_1830,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_688]) ).
fof(c_0_1831,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_689]) ).
fof(c_0_1832,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_690]) ).
fof(c_0_1833,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_691]) ).
fof(c_0_1834,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Orderings_Olinorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_692]) ).
fof(c_0_1835,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_693]) ).
fof(c_0_1836,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_694]) ).
fof(c_0_1837,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_695]) ).
fof(c_0_1838,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_696]) ).
fof(c_0_1839,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_697]) ).
fof(c_0_1840,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_698]) ).
fof(c_0_1841,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_699]) ).
fof(c_0_1842,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_700]) ).
fof(c_0_1843,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_701]) ).
fof(c_0_1844,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_702]) ).
fof(c_0_1845,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_703]) ).
fof(c_0_1846,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Oordered__semiring__strict(X5) ),
inference(fof_simplification,[status(thm)],[c_0_704]) ).
fof(c_0_1847,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_705]) ).
fof(c_0_1848,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_706]) ).
fof(c_0_1849,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_707]) ).
fof(c_0_1850,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_708]) ).
fof(c_0_1851,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_709]) ).
fof(c_0_1852,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_710]) ).
fof(c_0_1853,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_711]) ).
fof(c_0_1854,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_712]) ).
fof(c_0_1855,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_713]) ).
fof(c_0_1856,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_714]) ).
fof(c_0_1857,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_715]) ).
fof(c_0_1858,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_716]) ).
fof(c_0_1859,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ofield(X5) ),
inference(fof_simplification,[status(thm)],[c_0_717]) ).
fof(c_0_1860,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Oinverse(X5) ),
inference(fof_simplification,[status(thm)],[c_0_718]) ).
fof(c_0_1861,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_719]) ).
fof(c_0_1862,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_720]) ).
fof(c_0_1863,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_721]) ).
fof(c_0_1864,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_722]) ).
fof(c_0_1865,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_723]) ).
fof(c_0_1866,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_724]) ).
fof(c_0_1867,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_725]) ).
fof(c_0_1868,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_726]) ).
fof(c_0_1869,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_727]) ).
fof(c_0_1870,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_728]) ).
fof(c_0_1871,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oidom(X5) ),
inference(fof_simplification,[status(thm)],[c_0_729]) ).
fof(c_0_1872,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_730]) ).
fof(c_0_1873,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_731]) ).
fof(c_0_1874,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_732]) ).
fof(c_0_1875,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_733]) ).
fof(c_0_1876,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_734]) ).
fof(c_0_1877,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_735]) ).
fof(c_0_1878,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_736]) ).
fof(c_0_1879,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_737]) ).
fof(c_0_1880,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_738]) ).
fof(c_0_1881,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_739]) ).
fof(c_0_1882,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__ring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_740]) ).
fof(c_0_1883,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_741]) ).
fof(c_0_1884,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X5) ),
inference(fof_simplification,[status(thm)],[c_0_742]) ).
fof(c_0_1885,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_743]) ).
fof(c_0_1886,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_744]) ).
fof(c_0_1887,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oordered__idom(X5) ),
inference(fof_simplification,[status(thm)],[c_0_745]) ).
fof(c_0_1888,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X5) ),
inference(fof_simplification,[status(thm)],[c_0_746]) ).
fof(c_0_1889,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_747]) ).
fof(c_0_1890,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_748]) ).
fof(c_0_1891,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oordered__ring__strict(X5) ),
inference(fof_simplification,[status(thm)],[c_0_749]) ).
fof(c_0_1892,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oordered__semiring__strict(X5) ),
inference(fof_simplification,[status(thm)],[c_0_750]) ).
fof(c_0_1893,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_751]) ).
fof(c_0_1894,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_752]) ).
fof(c_0_1895,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Orderings_Olinorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_753]) ).
fof(c_0_1896,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oaxclass__abs__if(X5) ),
inference(fof_simplification,[status(thm)],[c_0_754]) ).
fof(c_0_1897,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Olordered__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_755]) ).
fof(c_0_1898,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_756]) ).
fof(c_0_1899,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_757]) ).
fof(c_0_1900,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_758]) ).
fof(c_0_1901,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
inference(fof_simplification,[status(thm)],[c_0_759]) ).
fof(c_0_1902,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Olordered__ab__group__meet(X5) ),
inference(fof_simplification,[status(thm)],[c_0_760]) ).
fof(c_0_1903,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Olordered__ab__group__join(X5) ),
inference(fof_simplification,[status(thm)],[c_0_761]) ).
fof(c_0_1904,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_762]) ).
fof(c_0_1905,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
inference(fof_simplification,[status(thm)],[c_0_763]) ).
fof(c_0_1906,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_764]) ).
fof(c_0_1907,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_765]) ).
fof(c_0_1908,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_766]) ).
fof(c_0_1909,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_767]) ).
fof(c_0_1910,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_768]) ).
fof(c_0_1911,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_769]) ).
fof(c_0_1912,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_770]) ).
fof(c_0_1913,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_771]) ).
fof(c_0_1914,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_772]) ).
fof(c_0_1915,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_773]) ).
fof(c_0_1916,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oordered__semidom(X5) ),
inference(fof_simplification,[status(thm)],[c_0_774]) ).
fof(c_0_1917,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_775]) ).
fof(c_0_1918,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_776]) ).
fof(c_0_1919,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_777]) ).
fof(c_0_1920,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__ring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_778]) ).
fof(c_0_1921,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_779]) ).
fof(c_0_1922,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_780]) ).
fof(c_0_1923,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_781]) ).
fof(c_0_1924,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_782]) ).
fof(c_0_1925,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_783]) ).
fof(c_0_1926,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_784]) ).
fof(c_0_1927,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_785]) ).
fof(c_0_1928,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_786]) ).
fof(c_0_1929,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_787]) ).
fof(c_0_1930,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_788]) ).
fof(c_0_1931,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_789]) ).
fof(c_0_1932,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_790]) ).
fof(c_0_1933,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_791]) ).
fof(c_0_1934,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_792]) ).
fof(c_0_1935,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_793]) ).
fof(c_0_1936,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_794]) ).
fof(c_0_1937,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_795]) ).
fof(c_0_1938,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_796]) ).
fof(c_0_1939,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_797]) ).
fof(c_0_1940,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_798]) ).
fof(c_0_1941,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_799]) ).
fof(c_0_1942,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_800]) ).
fof(c_0_1943,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_801]) ).
fof(c_0_1944,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X5) ),
inference(fof_simplification,[status(thm)],[c_0_802]) ).
fof(c_0_1945,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oordered__semiring__strict(X5) ),
inference(fof_simplification,[status(thm)],[c_0_803]) ).
fof(c_0_1946,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_804]) ).
fof(c_0_1947,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Orderings_Olinorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_805]) ).
fof(c_0_1948,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_806]) ).
fof(c_0_1949,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_807]) ).
fof(c_0_1950,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_808]) ).
fof(c_0_1951,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_809]) ).
fof(c_0_1952,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_810]) ).
fof(c_0_1953,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_811]) ).
fof(c_0_1954,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_812]) ).
fof(c_0_1955,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_813]) ).
fof(c_0_1956,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_814]) ).
fof(c_0_1957,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_815]) ).
fof(c_0_1958,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_816]) ).
fof(c_0_1959,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_817]) ).
fof(c_0_1960,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_818]) ).
fof(c_0_1961,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oaxclass__abs__if(X5) ),
inference(fof_simplification,[status(thm)],[c_0_819]) ).
fof(c_0_1962,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oordered__ring__strict(X5) ),
inference(fof_simplification,[status(thm)],[c_0_820]) ).
fof(c_0_1963,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Olordered__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_821]) ).
fof(c_0_1964,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_822]) ).
fof(c_0_1965,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_823]) ).
fof(c_0_1966,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
inference(fof_simplification,[status(thm)],[c_0_824]) ).
fof(c_0_1967,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group__meet(X5) ),
inference(fof_simplification,[status(thm)],[c_0_825]) ).
fof(c_0_1968,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group__join(X5) ),
inference(fof_simplification,[status(thm)],[c_0_826]) ).
fof(c_0_1969,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
inference(fof_simplification,[status(thm)],[c_0_827]) ).
fof(c_0_1970,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_828]) ).
fof(c_0_1971,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oordered__semidom(X5) ),
inference(fof_simplification,[status(thm)],[c_0_829]) ).
fof(c_0_1972,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X5) ),
inference(fof_simplification,[status(thm)],[c_0_830]) ).
fof(c_0_1973,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Oidom(X5) ),
inference(fof_simplification,[status(thm)],[c_0_831]) ).
fof(c_0_1974,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_832]) ).
fof(c_0_1975,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_833]) ).
fof(c_0_1976,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_834]) ).
fof(c_0_1977,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_835]) ).
fof(c_0_1978,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_836]) ).
fof(c_0_1979,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_837]) ).
fof(c_0_1980,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_838]) ).
fof(c_0_1981,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_839]) ).
fof(c_0_1982,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_840]) ).
fof(c_0_1983,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_841]) ).
fof(c_0_1984,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_842]) ).
fof(c_0_1985,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Oordered__semiring__strict(X5) ),
inference(fof_simplification,[status(thm)],[c_0_843]) ).
fof(c_0_1986,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_844]) ).
fof(c_0_1987,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Orderings_Olinorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_845]) ).
fof(c_0_1988,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_846]) ).
fof(c_0_1989,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_847]) ).
fof(c_0_1990,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_848]) ).
fof(c_0_1991,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_849]) ).
fof(c_0_1992,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_850]) ).
fof(c_0_1993,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_851]) ).
fof(c_0_1994,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_852]) ).
fof(c_0_1995,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_853]) ).
fof(c_0_1996,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_854]) ).
fof(c_0_1997,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_855]) ).
fof(c_0_1998,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_856]) ).
fof(c_0_1999,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Oaxclass__abs__if(X5) ),
inference(fof_simplification,[status(thm)],[c_0_857]) ).
fof(c_0_2000,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Olordered__ab__group(X5) ),
inference(fof_simplification,[status(thm)],[c_0_858]) ).
fof(c_0_2001,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_859]) ).
fof(c_0_2002,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_860]) ).
fof(c_0_2003,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Olordered__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_861]) ).
fof(c_0_2004,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Opordered__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_862]) ).
fof(c_0_2005,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
inference(fof_simplification,[status(thm)],[c_0_863]) ).
fof(c_0_2006,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Olordered__ab__group__meet(X5) ),
inference(fof_simplification,[status(thm)],[c_0_864]) ).
fof(c_0_2007,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Olordered__ab__group__join(X5) ),
inference(fof_simplification,[status(thm)],[c_0_865]) ).
fof(c_0_2008,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X5) ),
inference(fof_simplification,[status(thm)],[c_0_866]) ).
fof(c_0_2009,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_867]) ).
fof(c_0_2010,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_868]) ).
fof(c_0_2011,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_869]) ).
fof(c_0_2012,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_870]) ).
fof(c_0_2013,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_871]) ).
fof(c_0_2014,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_872]) ).
fof(c_0_2015,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_873]) ).
fof(c_0_2016,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Ocomm__semiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_874]) ).
fof(c_0_2017,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_875]) ).
fof(c_0_2018,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_876]) ).
fof(c_0_2019,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_877]) ).
fof(c_0_2020,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_878]) ).
fof(c_0_2021,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_879]) ).
fof(c_0_2022,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_880]) ).
fof(c_0_2023,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_881]) ).
fof(c_0_2024,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_882]) ).
fof(c_0_2025,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_883]) ).
fof(c_0_2026,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_884]) ).
fof(c_0_2027,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Ocomm__monoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_885]) ).
fof(c_0_2028,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_886]) ).
fof(c_0_2029,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_887]) ).
fof(c_0_2030,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_888]) ).
fof(c_0_2031,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_889]) ).
fof(c_0_2032,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X5) ),
inference(fof_simplification,[status(thm)],[c_0_890]) ).
fof(c_0_2033,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Oordered__semiring__strict(X5) ),
inference(fof_simplification,[status(thm)],[c_0_891]) ).
fof(c_0_2034,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_892]) ).
fof(c_0_2035,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Orderings_Olinorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_893]) ).
fof(c_0_2036,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_894]) ).
fof(c_0_2037,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_895]) ).
fof(c_0_2038,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_896]) ).
fof(c_0_2039,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_897]) ).
fof(c_0_2040,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_898]) ).
fof(c_0_2041,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_899]) ).
fof(c_0_2042,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_900]) ).
fof(c_0_2043,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_901]) ).
fof(c_0_2044,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_902]) ).
fof(c_0_2045,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_903]) ).
fof(c_0_2046,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_904]) ).
fof(c_0_2047,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_905]) ).
fof(c_0_2048,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_906]) ).
fof(c_0_2049,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_907]) ).
fof(c_0_2050,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_908]) ).
fof(c_0_2051,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_909]) ).
fof(c_0_2052,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_910]) ).
fof(c_0_2053,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_911]) ).
fof(c_0_2054,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_912]) ).
fof(c_0_2055,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_913]) ).
fof(c_0_2056,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_914]) ).
fof(c_0_2057,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Orderings_Olinorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_915]) ).
fof(c_0_2058,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_916]) ).
fof(c_0_2059,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_917]) ).
fof(c_0_2060,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_918]) ).
fof(c_0_2061,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_919]) ).
fof(c_0_2062,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_920]) ).
fof(c_0_2063,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_921]) ).
fof(c_0_2064,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_922]) ).
fof(c_0_2065,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_923]) ).
fof(c_0_2066,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_924]) ).
fof(c_0_2067,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_925]) ).
fof(c_0_2068,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_926]) ).
fof(c_0_2069,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_927]) ).
fof(c_0_2070,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_928]) ).
fof(c_0_2071,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_929]) ).
fof(c_0_2072,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_930]) ).
fof(c_0_2073,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_931]) ).
fof(c_0_2074,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_932]) ).
fof(c_0_2075,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_933]) ).
fof(c_0_2076,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_934]) ).
fof(c_0_2077,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_935]) ).
fof(c_0_2078,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X5)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_936]) ).
fof(c_0_2079,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_937]) ).
fof(c_0_2080,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_938]) ).
fof(c_0_2081,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_939]) ).
fof(c_0_2082,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_940]) ).
fof(c_0_2083,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_941]) ).
fof(c_0_2084,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_942]) ).
fof(c_0_2085,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_943]) ).
fof(c_0_2086,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_944]) ).
fof(c_0_2087,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_945]) ).
fof(c_0_2088,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_946]) ).
fof(c_0_2089,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_947]) ).
fof(c_0_2090,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_948]) ).
fof(c_0_2091,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_949]) ).
fof(c_0_2092,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_950]) ).
fof(c_0_2093,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_951]) ).
fof(c_0_2094,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_952]) ).
fof(c_0_2095,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_953]) ).
fof(c_0_2096,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_954]) ).
fof(c_0_2097,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_955]) ).
fof(c_0_2098,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_956]) ).
fof(c_0_2099,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_957]) ).
fof(c_0_2100,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_958]) ).
fof(c_0_2101,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_959]) ).
fof(c_0_2102,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_960]) ).
fof(c_0_2103,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_961]) ).
fof(c_0_2104,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_962]) ).
fof(c_0_2105,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_963]) ).
fof(c_0_2106,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_964]) ).
fof(c_0_2107,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_965]) ).
fof(c_0_2108,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_966]) ).
fof(c_0_2109,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_967]) ).
fof(c_0_2110,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_968]) ).
fof(c_0_2111,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_969]) ).
fof(c_0_2112,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_970]) ).
fof(c_0_2113,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_971]) ).
fof(c_0_2114,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_972]) ).
fof(c_0_2115,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_973]) ).
fof(c_0_2116,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Ocomm__ring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_974]) ).
fof(c_0_2117,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_975]) ).
fof(c_0_2118,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_976]) ).
fof(c_0_2119,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_977]) ).
fof(c_0_2120,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_978]) ).
fof(c_0_2121,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_979]) ).
fof(c_0_2122,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_980]) ).
fof(c_0_2123,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_981]) ).
fof(c_0_2124,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_982]) ).
fof(c_0_2125,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_983]) ).
fof(c_0_2126,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_984]) ).
fof(c_0_2127,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_985]) ).
fof(c_0_2128,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_986]) ).
fof(c_0_2129,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Opordered__comm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_987]) ).
fof(c_0_2130,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_988]) ).
fof(c_0_2131,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_989]) ).
fof(c_0_2132,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_990]) ).
fof(c_0_2133,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_991]) ).
fof(c_0_2134,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_992]) ).
fof(c_0_2135,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_993]) ).
fof(c_0_2136,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_994]) ).
fof(c_0_2137,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_995]) ).
fof(c_0_2138,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_996]) ).
fof(c_0_2139,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_997]) ).
fof(c_0_2140,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_998]) ).
fof(c_0_2141,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Ring__and__Field_Ocomm__semiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_999]) ).
fof(c_0_2142,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Ring__and__Field_Ocomm__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1000]) ).
fof(c_0_2143,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1001]) ).
fof(c_0_2144,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1002]) ).
fof(c_0_2145,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1003]) ).
fof(c_0_2146,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1004]) ).
fof(c_0_2147,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1005]) ).
fof(c_0_2148,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1006]) ).
fof(c_0_2149,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1007]) ).
fof(c_0_2150,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1008]) ).
fof(c_0_2151,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1009]) ).
fof(c_0_2152,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1010]) ).
fof(c_0_2153,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1011]) ).
fof(c_0_2154,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1012]) ).
fof(c_0_2155,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1013]) ).
fof(c_0_2156,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1014]) ).
fof(c_0_2157,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1015]) ).
fof(c_0_2158,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1016]) ).
fof(c_0_2159,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1017]) ).
fof(c_0_2160,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1018]) ).
fof(c_0_2161,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1019]) ).
fof(c_0_2162,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1020]) ).
fof(c_0_2163,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1021]) ).
fof(c_0_2164,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1022]) ).
fof(c_0_2165,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1023]) ).
fof(c_0_2166,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1024]) ).
fof(c_0_2167,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1025]) ).
fof(c_0_2168,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1026]) ).
fof(c_0_2169,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1027]) ).
fof(c_0_2170,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1028]) ).
fof(c_0_2171,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1029]) ).
fof(c_0_2172,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1030]) ).
fof(c_0_2173,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1031]) ).
fof(c_0_2174,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1032]) ).
fof(c_0_2175,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1033]) ).
fof(c_0_2176,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1034]) ).
fof(c_0_2177,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1035]) ).
fof(c_0_2178,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1036]) ).
fof(c_0_2179,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__ring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1037]) ).
fof(c_0_2180,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1038]) ).
fof(c_0_2181,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1039]) ).
fof(c_0_2182,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1040]) ).
fof(c_0_2183,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1041]) ).
fof(c_0_2184,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1042]) ).
fof(c_0_2185,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1043]) ).
fof(c_0_2186,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1044]) ).
fof(c_0_2187,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1045]) ).
fof(c_0_2188,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1046]) ).
fof(c_0_2189,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1047]) ).
fof(c_0_2190,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1048]) ).
fof(c_0_2191,plain,
! [X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X5)
| class_OrderedGroup_Opordered__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1049]) ).
fof(c_0_2192,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1050]) ).
fof(c_0_2193,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1051]) ).
fof(c_0_2194,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1052]) ).
fof(c_0_2195,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1053]) ).
fof(c_0_2196,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1054]) ).
fof(c_0_2197,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1055]) ).
fof(c_0_2198,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1056]) ).
fof(c_0_2199,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1057]) ).
fof(c_0_2200,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1058]) ).
fof(c_0_2201,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1059]) ).
fof(c_0_2202,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1060]) ).
fof(c_0_2203,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1061]) ).
fof(c_0_2204,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1062]) ).
fof(c_0_2205,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1063]) ).
fof(c_0_2206,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Oring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1064]) ).
fof(c_0_2207,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1065]) ).
fof(c_0_2208,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1066]) ).
fof(c_0_2209,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1067]) ).
fof(c_0_2210,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1068]) ).
fof(c_0_2211,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1069]) ).
fof(c_0_2212,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1070]) ).
fof(c_0_2213,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1071]) ).
fof(c_0_2214,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1072]) ).
fof(c_0_2215,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1073]) ).
fof(c_0_2216,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1074]) ).
fof(c_0_2217,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Osemiring__1__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1075]) ).
fof(c_0_2218,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_HOL_Ominus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1076]) ).
fof(c_0_2219,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1077]) ).
fof(c_0_2220,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1078]) ).
fof(c_0_2221,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1079]) ).
fof(c_0_2222,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1080]) ).
fof(c_0_2223,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1081]) ).
fof(c_0_2224,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1082]) ).
fof(c_0_2225,plain,
! [X5] :
( ~ class_Ring__and__Field_Oring__1(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1083]) ).
fof(c_0_2226,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1084]) ).
fof(c_0_2227,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1085]) ).
fof(c_0_2228,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1086]) ).
fof(c_0_2229,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1087]) ).
fof(c_0_2230,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1088]) ).
fof(c_0_2231,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1089]) ).
fof(c_0_2232,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1090]) ).
fof(c_0_2233,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1091]) ).
fof(c_0_2234,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1092]) ).
fof(c_0_2235,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1093]) ).
fof(c_0_2236,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1094]) ).
fof(c_0_2237,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1095]) ).
fof(c_0_2238,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1096]) ).
fof(c_0_2239,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1097]) ).
fof(c_0_2240,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1098]) ).
fof(c_0_2241,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1099]) ).
fof(c_0_2242,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1100]) ).
fof(c_0_2243,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1101]) ).
fof(c_0_2244,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1102]) ).
fof(c_0_2245,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1103]) ).
fof(c_0_2246,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1104]) ).
fof(c_0_2247,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1105]) ).
fof(c_0_2248,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1106]) ).
fof(c_0_2249,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1107]) ).
fof(c_0_2250,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1108]) ).
fof(c_0_2251,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1109]) ).
fof(c_0_2252,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1110]) ).
fof(c_0_2253,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1111]) ).
fof(c_0_2254,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1112]) ).
fof(c_0_2255,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1113]) ).
fof(c_0_2256,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1114]) ).
fof(c_0_2257,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1115]) ).
fof(c_0_2258,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1116]) ).
fof(c_0_2259,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1117]) ).
fof(c_0_2260,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1118]) ).
fof(c_0_2261,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1119]) ).
fof(c_0_2262,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1120]) ).
fof(c_0_2263,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1121]) ).
fof(c_0_2264,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_HOL_Oone(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1122]) ).
fof(c_0_2265,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1123]) ).
fof(c_0_2266,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_HOL_Otimes(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1124]) ).
fof(c_0_2267,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1125]) ).
fof(c_0_2268,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Ocancel__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1126]) ).
fof(c_0_2269,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__0__cancel(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1127]) ).
fof(c_0_2270,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring__0(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1128]) ).
fof(c_0_2271,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_Ring__and__Field_Osemiring(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1129]) ).
fof(c_0_2272,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Ocomm__monoid__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1130]) ).
fof(c_0_2273,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_HOL_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1131]) ).
fof(c_0_2274,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Oab__semigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1132]) ).
fof(c_0_2275,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Osemigroup__add(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1133]) ).
fof(c_0_2276,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_HOL_Oplus(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1134]) ).
fof(c_0_2277,plain,
! [X5] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1135]) ).
fof(c_0_2278,plain,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_Orderings_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1136]) ).
fof(c_0_2279,plain,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1137]) ).
fof(c_0_2280,plain,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_LOrder_Omeet__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1138]) ).
fof(c_0_2281,plain,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1139]) ).
fof(c_0_2282,plain,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_LOrder_Olorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1140]) ).
fof(c_0_2283,plain,
! [X5] :
( ~ class_Wellfounded__Recursion_Owellorder(X5)
| class_Orderings_Olinorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_1141]) ).
fof(c_0_2284,plain,
! [X25,X26,X27,X28,X29,X30] :
( ~ c_in(X25,c_Relation_Orel__comp(X27,X26,X28,X29,X30),tc_prod(X30,X29))
| c_in(c_Pair(c_Main_Orel__compE__2(X27,X26,X25,X28,X29,X30),c_Main_Orel__compE__3(X27,X26,X25,X28,X29,X30),X28,X29),X27,tc_prod(X28,X29)) ),
inference(variable_rename,[status(thm)],[c_0_1142]) ).
fof(c_0_2285,plain,
! [X25,X26,X27,X28,X29,X30] :
( ~ c_in(X25,c_Relation_Orel__comp(X27,X26,X28,X29,X30),tc_prod(X30,X29))
| c_in(c_Pair(c_Main_Orel__compE__1(X27,X26,X25,X28,X29,X30),c_Main_Orel__compE__2(X27,X26,X25,X28,X29,X30),X30,X28),X26,tc_prod(X30,X28)) ),
inference(variable_rename,[status(thm)],[c_0_1143]) ).
fof(c_0_2286,plain,
! [X25,X26,X27,X28,X29,X30] :
( ~ c_in(X25,c_Relation_Orel__comp(X27,X26,X28,X29,X30),tc_prod(X30,X29))
| X25 = c_Pair(c_Main_Orel__compE__1(X27,X26,X25,X28,X29,X30),c_Main_Orel__compE__3(X27,X26,X25,X28,X29,X30),X30,X29) ),
inference(variable_rename,[status(thm)],[c_0_1144]) ).
fof(c_0_2287,plain,
! [X23,X24,X25,X26,X27] :
( ~ c_in(X25,c_Datatype__Universe_Odprod(X24,X23,X27,X26),tc_prod(tc_set(tc_Datatype__Universe_Onode(X27,X26)),tc_set(tc_Datatype__Universe_Onode(X27,X26))))
| X25 = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X25,X24,X23,X27,X26),c_Main_OdprodE__2(X25,X24,X23,X27,X26),X27,X26),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X25,X24,X23,X27,X26),c_Main_OdprodE__4(X25,X24,X23,X27,X26),X27,X26),tc_set(tc_Datatype__Universe_Onode(X27,X26)),tc_set(tc_Datatype__Universe_Onode(X27,X26))) ),
inference(variable_rename,[status(thm)],[c_0_1145]) ).
fof(c_0_2288,plain,
! [X23,X24,X25,X26,X27] :
( ~ c_in(X25,c_Datatype__Universe_Odprod(X24,X23,X27,X26),tc_prod(tc_set(tc_Datatype__Universe_Onode(X27,X26)),tc_set(tc_Datatype__Universe_Onode(X27,X26))))
| c_in(c_Pair(c_Main_OdprodE__2(X25,X24,X23,X27,X26),c_Main_OdprodE__4(X25,X24,X23,X27,X26),tc_set(tc_Datatype__Universe_Onode(X27,X26)),tc_set(tc_Datatype__Universe_Onode(X27,X26))),X23,tc_prod(tc_set(tc_Datatype__Universe_Onode(X27,X26)),tc_set(tc_Datatype__Universe_Onode(X27,X26)))) ),
inference(variable_rename,[status(thm)],[c_0_1146]) ).
fof(c_0_2289,plain,
! [X23,X24,X25,X26,X27] :
( ~ c_in(X25,c_Datatype__Universe_Odprod(X24,X23,X27,X26),tc_prod(tc_set(tc_Datatype__Universe_Onode(X27,X26)),tc_set(tc_Datatype__Universe_Onode(X27,X26))))
| c_in(c_Pair(c_Main_OdprodE__1(X25,X24,X23,X27,X26),c_Main_OdprodE__3(X25,X24,X23,X27,X26),tc_set(tc_Datatype__Universe_Onode(X27,X26)),tc_set(tc_Datatype__Universe_Onode(X27,X26))),X24,tc_prod(tc_set(tc_Datatype__Universe_Onode(X27,X26)),tc_set(tc_Datatype__Universe_Onode(X27,X26)))) ),
inference(variable_rename,[status(thm)],[c_0_1147]) ).
fof(c_0_2290,plain,
! [X40,X41,X42,X43,X44] :
( ~ c_in(X40,c_Datatype__Universe_Odsum(X42,X41,X44,X43),tc_prod(tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))))
| c_in(c_Pair(c_Main_OdsumE__1(X42,X40,X44,X43),c_Main_OdsumE__2(X42,X40,X44,X43),tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))),X42,tc_prod(tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))))
| c_in(c_Pair(c_Main_OdsumE__3(X41,X40,X44,X43),c_Main_OdsumE__4(X41,X40,X44,X43),tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))),X41,tc_prod(tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43)))) ),
inference(variable_rename,[status(thm)],[c_0_1148]) ).
fof(c_0_2291,plain,
! [X40,X41,X42,X43,X44] :
( ~ c_in(X40,c_Datatype__Universe_Odsum(X42,X41,X44,X43),tc_prod(tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))))
| c_in(c_Pair(c_Main_OdsumE__3(X41,X40,X44,X43),c_Main_OdsumE__4(X41,X40,X44,X43),tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))),X41,tc_prod(tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))))
| X40 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X42,X40,X44,X43),X44,X43),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X42,X40,X44,X43),X44,X43),tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))) ),
inference(variable_rename,[status(thm)],[c_0_1149]) ).
fof(c_0_2292,plain,
! [X40,X41,X42,X43,X44] :
( ~ c_in(X40,c_Datatype__Universe_Odsum(X42,X41,X44,X43),tc_prod(tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))))
| c_in(c_Pair(c_Main_OdsumE__1(X42,X40,X44,X43),c_Main_OdsumE__2(X42,X40,X44,X43),tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))),X42,tc_prod(tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))))
| X40 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X41,X40,X44,X43),X44,X43),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X41,X40,X44,X43),X44,X43),tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))) ),
inference(variable_rename,[status(thm)],[c_0_1150]) ).
fof(c_0_2293,plain,
! [X31,X32,X33,X34,X35] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X32,X31,X35),X33,tc_List_Olist(X35),tc_List_Olist(X35)),c_List_Olistrel(X34,X35),tc_prod(tc_List_Olist(X35),tc_List_Olist(X35)))
| c_in(c_Pair(X31,c_Main_Olistrel__Cons1__2(X34,X33,X32,X31,X35),tc_List_Olist(X35),tc_List_Olist(X35)),c_List_Olistrel(X34,X35),tc_prod(tc_List_Olist(X35),tc_List_Olist(X35))) ),
inference(variable_rename,[status(thm)],[c_0_1151]) ).
fof(c_0_2294,plain,
! [X31,X32,X33,X34,X35] :
( ~ c_in(c_Pair(X33,c_List_Olist_OCons(X32,X31,X35),tc_List_Olist(X35),tc_List_Olist(X35)),c_List_Olistrel(X34,X35),tc_prod(tc_List_Olist(X35),tc_List_Olist(X35)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__2(X34,X33,X32,X31,X35),X31,tc_List_Olist(X35),tc_List_Olist(X35)),c_List_Olistrel(X34,X35),tc_prod(tc_List_Olist(X35),tc_List_Olist(X35))) ),
inference(variable_rename,[status(thm)],[c_0_1152]) ).
fof(c_0_2295,plain,
! [X39,X40,X41,X42,X43,X44,X45,X46] :
( ~ c_in(c_Pair(X42,X41,tc_set(tc_Datatype__Universe_Onode(X46,X45)),tc_set(tc_Datatype__Universe_Onode(X46,X45))),X39,tc_prod(tc_set(tc_Datatype__Universe_Onode(X46,X45)),tc_set(tc_Datatype__Universe_Onode(X46,X45))))
| ~ c_in(c_Pair(X44,X43,tc_set(tc_Datatype__Universe_Onode(X46,X45)),tc_set(tc_Datatype__Universe_Onode(X46,X45))),X40,tc_prod(tc_set(tc_Datatype__Universe_Onode(X46,X45)),tc_set(tc_Datatype__Universe_Onode(X46,X45))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X44,X42,X46,X45),c_Datatype__Universe_OScons(X43,X41,X46,X45),tc_set(tc_Datatype__Universe_Onode(X46,X45)),tc_set(tc_Datatype__Universe_Onode(X46,X45))),c_Datatype__Universe_Odprod(X40,X39,X46,X45),tc_prod(tc_set(tc_Datatype__Universe_Onode(X46,X45)),tc_set(tc_Datatype__Universe_Onode(X46,X45)))) ),
inference(variable_rename,[status(thm)],[c_0_1153]) ).
fof(c_0_2296,plain,
! [X31,X32,X33,X34,X35] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X32,X31,X35),X33,tc_List_Olist(X35),tc_List_Olist(X35)),c_List_Olistrel(X34,X35),tc_prod(tc_List_Olist(X35),tc_List_Olist(X35)))
| c_in(c_Pair(X32,c_Main_Olistrel__Cons1__1(X34,X33,X32,X31,X35),X35,X35),X34,tc_prod(X35,X35)) ),
inference(variable_rename,[status(thm)],[c_0_1154]) ).
fof(c_0_2297,plain,
! [X31,X32,X33,X34,X35] :
( ~ c_in(c_Pair(X33,c_List_Olist_OCons(X32,X31,X35),tc_List_Olist(X35),tc_List_Olist(X35)),c_List_Olistrel(X34,X35),tc_prod(tc_List_Olist(X35),tc_List_Olist(X35)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__1(X34,X33,X32,X31,X35),X32,X35,X35),X34,tc_prod(X35,X35)) ),
inference(variable_rename,[status(thm)],[c_0_1155]) ).
fof(c_0_2298,plain,
! [X40,X41,X42,X43,X44] :
( ~ c_in(X40,c_Datatype__Universe_Odsum(X42,X41,X44,X43),tc_prod(tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))))
| X40 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X42,X40,X44,X43),X44,X43),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X42,X40,X44,X43),X44,X43),tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43)))
| X40 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X41,X40,X44,X43),X44,X43),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X41,X40,X44,X43),X44,X43),tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))) ),
inference(variable_rename,[status(thm)],[c_0_1156]) ).
fof(c_0_2299,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X21,c_Relation_OImage(X20,X22,X23,X24),X24)
| c_in(c_Pair(c_Main_OImageE__1(X22,X21,X20,X23,X24),X21,X23,X24),X20,tc_prod(X23,X24)) ),
inference(variable_rename,[status(thm)],[c_0_1157]) ).
fof(c_0_2300,plain,
! [X31,X32,X33,X34,X35] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X32,X31,X35),X33,tc_List_Olist(X35),tc_List_Olist(X35)),c_List_Olistrel(X34,X35),tc_prod(tc_List_Olist(X35),tc_List_Olist(X35)))
| X33 = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X34,X33,X32,X31,X35),c_Main_Olistrel__Cons1__2(X34,X33,X32,X31,X35),X35) ),
inference(variable_rename,[status(thm)],[c_0_1158]) ).
fof(c_0_2301,plain,
! [X31,X32,X33,X34,X35] :
( ~ c_in(c_Pair(X33,c_List_Olist_OCons(X32,X31,X35),tc_List_Olist(X35),tc_List_Olist(X35)),c_List_Olistrel(X34,X35),tc_prod(tc_List_Olist(X35),tc_List_Olist(X35)))
| X33 = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X34,X33,X32,X31,X35),c_Main_Olistrel__Cons2__2(X34,X33,X32,X31,X35),X35) ),
inference(variable_rename,[status(thm)],[c_0_1159]) ).
fof(c_0_2302,plain,
! [X21,X22,X23,X24,X25] :
( ~ c_in(X21,c_Datatype__Universe_Ouprod(X23,X22,X25,X24),tc_set(tc_Datatype__Universe_Onode(X25,X24)))
| X21 = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X23,X22,X21,X25,X24),c_Main_OuprodE__2(X23,X22,X21,X25,X24),X25,X24) ),
inference(variable_rename,[status(thm)],[c_0_1160]) ).
fof(c_0_2303,plain,
! [X24,X25,X26,X27,X28,X29,X30,X31] :
( ~ c_in(c_Pair(X27,X26,X30,X29),X25,tc_prod(X30,X29))
| ~ c_in(c_Pair(X28,X27,X31,X30),X24,tc_prod(X31,X30))
| c_in(c_Pair(X28,X26,X31,X29),c_Relation_Orel__comp(X25,X24,X30,X29,X31),tc_prod(X31,X29)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1161])])]) ).
fof(c_0_2304,plain,
! [X39,X40,X41,X42,X43,X44] :
( ~ c_in(c_Pair(X42,X41,tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))),X40,tc_prod(tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))))
| c_in(c_Pair(c_Datatype__Universe_OIn0(X42,X44,X43),c_Datatype__Universe_OIn0(X41,X44,X43),tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43))),c_Datatype__Universe_Odsum(X40,X39,X44,X43),tc_prod(tc_set(tc_Datatype__Universe_Onode(X44,X43)),tc_set(tc_Datatype__Universe_Onode(X44,X43)))) ),
inference(variable_rename,[status(thm)],[c_0_1162]) ).
fof(c_0_2305,plain,
! [X38,X39,X40,X41,X42,X43] :
( ~ c_in(c_Pair(X41,X40,tc_set(tc_Datatype__Universe_Onode(X43,X42)),tc_set(tc_Datatype__Universe_Onode(X43,X42))),X38,tc_prod(tc_set(tc_Datatype__Universe_Onode(X43,X42)),tc_set(tc_Datatype__Universe_Onode(X43,X42))))
| c_in(c_Pair(c_Datatype__Universe_OIn1(X41,X43,X42),c_Datatype__Universe_OIn1(X40,X43,X42),tc_set(tc_Datatype__Universe_Onode(X43,X42)),tc_set(tc_Datatype__Universe_Onode(X43,X42))),c_Datatype__Universe_Odsum(X39,X38,X43,X42),tc_prod(tc_set(tc_Datatype__Universe_Onode(X43,X42)),tc_set(tc_Datatype__Universe_Onode(X43,X42)))) ),
inference(variable_rename,[status(thm)],[c_0_1163]) ).
fof(c_0_2306,plain,
! [X21,X22,X23,X24,X25] :
( ~ c_in(X21,c_Datatype__Universe_Ouprod(X23,X22,X25,X24),tc_set(tc_Datatype__Universe_Onode(X25,X24)))
| c_in(c_Main_OuprodE__2(X23,X22,X21,X25,X24),X22,tc_set(tc_Datatype__Universe_Onode(X25,X24))) ),
inference(variable_rename,[status(thm)],[c_0_1164]) ).
fof(c_0_2307,plain,
! [X21,X22,X23,X24,X25] :
( ~ c_in(X21,c_Datatype__Universe_Ouprod(X23,X22,X25,X24),tc_set(tc_Datatype__Universe_Onode(X25,X24)))
| c_in(c_Main_OuprodE__1(X23,X22,X21,X25,X24),X23,tc_set(tc_Datatype__Universe_Onode(X25,X24))) ),
inference(variable_rename,[status(thm)],[c_0_1165]) ).
fof(c_0_2308,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X21,c_Relation_OImage(X20,X22,X23,X24),X24)
| c_in(c_Main_OImageE__1(X22,X21,X20,X23,X24),X22,X23) ),
inference(variable_rename,[status(thm)],[c_0_1166]) ).
fof(c_0_2309,plain,
! [X26,X27,X28,X29] :
( ~ c_in(X26,c_Relation_Oconverse(X27,X28,X29),tc_prod(X29,X28))
| c_in(c_Pair(c_Main_OconverseE__1(X27,X26,X28,X29),c_Main_OconverseE__2(X27,X26,X28,X29),X28,X29),X27,tc_prod(X28,X29)) ),
inference(variable_rename,[status(thm)],[c_0_1167]) ).
fof(c_0_2310,plain,
! [X31,X32,X33,X34] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X31,X32,X34,X34),X33,tc_prod(X34,X34)),X34)
| ~ c_in(c_Pair(X32,X31,X34,X34),c_Transitive__Closure_Ortrancl(X33,X34),tc_prod(X34,X34)) ),
inference(variable_rename,[status(thm)],[c_0_1168]) ).
fof(c_0_2311,plain,
! [X31,X32,X33,X34] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X31,X32,X34,X34),X33,tc_prod(X34,X34)),X34)
| ~ c_in(c_Pair(X32,X31,X34,X34),c_Transitive__Closure_Ortrancl(X33,X34),tc_prod(X34,X34)) ),
inference(variable_rename,[status(thm)],[c_0_1169]) ).
fof(c_0_2312,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X20,c_Datatype__Universe_Ousum(X22,X21,X24,X23),tc_set(tc_Datatype__Universe_Onode(X24,X23)))
| c_in(c_Main_OusumE__1(X22,X20,X24,X23),X22,tc_set(tc_Datatype__Universe_Onode(X24,X23)))
| c_in(c_Main_OusumE__2(X21,X20,X24,X23),X21,tc_set(tc_Datatype__Universe_Onode(X24,X23))) ),
inference(variable_rename,[status(thm)],[c_0_1170]) ).
fof(c_0_2313,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X20,c_Datatype__Universe_Ousum(X22,X21,X24,X23),tc_set(tc_Datatype__Universe_Onode(X24,X23)))
| c_in(c_Main_OusumE__2(X21,X20,X24,X23),X21,tc_set(tc_Datatype__Universe_Onode(X24,X23)))
| X20 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X22,X20,X24,X23),X24,X23) ),
inference(variable_rename,[status(thm)],[c_0_1171]) ).
fof(c_0_2314,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X20,c_Datatype__Universe_Ousum(X22,X21,X24,X23),tc_set(tc_Datatype__Universe_Onode(X24,X23)))
| c_in(c_Main_OusumE__1(X22,X20,X24,X23),X22,tc_set(tc_Datatype__Universe_Onode(X24,X23)))
| X20 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X21,X20,X24,X23),X24,X23) ),
inference(variable_rename,[status(thm)],[c_0_1172]) ).
fof(c_0_2315,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X20,c_Datatype__Universe_Ousum(X22,X21,X24,X23),tc_set(tc_Datatype__Universe_Onode(X24,X23)))
| X20 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X22,X20,X24,X23),X24,X23)
| X20 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X21,X20,X24,X23),X24,X23) ),
inference(variable_rename,[status(thm)],[c_0_1173]) ).
fof(c_0_2316,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X20,c_Sum__Type_OPlus(X22,X21,X24,X23),tc_sum(X24,X23))
| X20 = c_Sum__Type_OInl(c_Main_OPlusE__1(X22,X20,X24,X23),X24,X23)
| X20 = c_Sum__Type_OInr(c_Main_OPlusE__2(X21,X20,X23,X24),X23,X24) ),
inference(variable_rename,[status(thm)],[c_0_1174]) ).
fof(c_0_2317,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X20,c_Sum__Type_OPlus(X22,X21,X24,X23),tc_sum(X24,X23))
| c_in(c_Main_OPlusE__2(X21,X20,X23,X24),X21,X23)
| X20 = c_Sum__Type_OInl(c_Main_OPlusE__1(X22,X20,X24,X23),X24,X23) ),
inference(variable_rename,[status(thm)],[c_0_1175]) ).
fof(c_0_2318,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X20,c_Sum__Type_OPlus(X22,X21,X24,X23),tc_sum(X24,X23))
| c_in(c_Main_OPlusE__1(X22,X20,X24,X23),X22,X24)
| X20 = c_Sum__Type_OInr(c_Main_OPlusE__2(X21,X20,X23,X24),X23,X24) ),
inference(variable_rename,[status(thm)],[c_0_1176]) ).
fof(c_0_2319,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X20,c_Sum__Type_OPlus(X22,X21,X24,X23),tc_sum(X24,X23))
| c_in(c_Main_OPlusE__1(X22,X20,X24,X23),X22,X24)
| c_in(c_Main_OPlusE__2(X21,X20,X23,X24),X21,X23) ),
inference(variable_rename,[status(thm)],[c_0_1177]) ).
fof(c_0_2320,plain,
! [X31,X32,X33,X34] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X31,X32,X34,X34),X33,tc_prod(X34,X34)),X34)
| c_Wellfounded__Recursion_Oacyclic(X33,X34) ),
inference(variable_rename,[status(thm)],[c_0_1178]) ).
fof(c_0_2321,plain,
! [X31,X32,X33,X34] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X31,X32,X34,X34),X33,tc_prod(X34,X34)),X34)
| c_Wellfounded__Recursion_Owf(X33,X34) ),
inference(variable_rename,[status(thm)],[c_0_1179]) ).
fof(c_0_2322,plain,
! [X16,X17,X18,X19] :
( ~ c_in(X17,c_Relation_ODomain(X16,X19,X18),X19)
| c_in(c_Pair(X17,c_Main_ODomainE__1(X17,X16,X19,X18),X19,X18),X16,tc_prod(X19,X18)) ),
inference(variable_rename,[status(thm)],[c_0_1180]) ).
fof(c_0_2323,plain,
! [X15,X16,X17,X18] :
( ~ c_in(X16,c_Relation_ORange(X15,X17,X18),X18)
| c_in(c_Pair(c_Main_ORangeE__1(X16,X15,X18,X17),X16,X17,X18),X15,tc_prod(X17,X18)) ),
inference(variable_rename,[status(thm)],[c_0_1181]) ).
fof(c_0_2324,plain,
! [X31,X32,X33,X34] :
( ~ c_Wellfounded__Recursion_Oacyclic(X33,X34)
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X31,X32,X34,X34),X33,tc_prod(X34,X34)),X34)
| c_in(c_Pair(X32,X31,X34,X34),c_Transitive__Closure_Ortrancl(X33,X34),tc_prod(X34,X34)) ),
inference(variable_rename,[status(thm)],[c_0_1182]) ).
fof(c_0_2325,plain,
! [X31,X32,X33,X34] :
( ~ c_Wellfounded__Recursion_Owf(X33,X34)
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X31,X32,X34,X34),X33,tc_prod(X34,X34)),X34)
| c_in(c_Pair(X32,X31,X34,X34),c_Transitive__Closure_Ortrancl(X33,X34),tc_prod(X34,X34)) ),
inference(variable_rename,[status(thm)],[c_0_1183]) ).
fof(c_0_2326,plain,
! [X16,X17,X18,X19,X20] :
( ~ c_in(X17,c_Relation_OImage(X16,c_insert(X18,c_emptyset,X19),X19,X20),X20)
| c_in(c_Pair(X18,X17,X19,X20),X16,tc_prod(X19,X20)) ),
inference(variable_rename,[status(thm)],[c_0_1184]) ).
fof(c_0_2327,plain,
! [X42,X43,X44] :
( ~ c_Divides_Oop_Advd(X44,c_GCD_Ogcd(c_Pair(X43,X42,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X44,X43,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1185]) ).
fof(c_0_2328,plain,
! [X42,X43,X44] :
( ~ c_Divides_Oop_Advd(X44,c_GCD_Ogcd(c_Pair(X43,X42,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X44,X42,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1186]) ).
fof(c_0_2329,plain,
! [X16,X17,X18,X19,X20] :
( ~ c_in(c_Pair(X18,X17,X19,X20),X16,tc_prod(X19,X20))
| c_in(X17,c_Relation_OImage(X16,c_insert(X18,c_emptyset,X19),X19,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_1187]) ).
fof(c_0_2330,plain,
! [X16,X17,X18,X19,X20] :
( ~ c_in(c_Pair(X18,X17,X20,X19),c_Relation_Oconverse(X16,X19,X20),tc_prod(X20,X19))
| c_in(c_Pair(X17,X18,X19,X20),X16,tc_prod(X19,X20)) ),
inference(variable_rename,[status(thm)],[c_0_1188]) ).
fof(c_0_2331,plain,
! [X16,X17,X18,X19,X20] :
( ~ c_in(c_Pair(X17,X18,X19,X20),X16,tc_prod(X19,X20))
| c_in(c_Pair(X18,X17,X20,X19),c_Relation_Oconverse(X16,X19,X20),tc_prod(X20,X19)) ),
inference(variable_rename,[status(thm)],[c_0_1189]) ).
fof(c_0_2332,plain,
! [X16,X17,X18,X19] :
( ~ c_in(c_Pair(X18,X17,X19,X19),c_Transitive__Closure_Otrancl(X16,X19),tc_prod(X19,X19))
| c_in(c_Pair(X18,X17,X19,X19),c_Transitive__Closure_Ortrancl(X16,X19),tc_prod(X19,X19)) ),
inference(variable_rename,[status(thm)],[c_0_1190]) ).
fof(c_0_2333,plain,
! [X20,X21,X22,X23,X24,X25] :
( ~ c_in(X22,X23,X25)
| ~ c_in(c_Pair(X22,X21,X25,X24),X20,tc_prod(X25,X24))
| c_in(X21,c_Relation_OImage(X20,X23,X25,X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_1191]) ).
fof(c_0_2334,plain,
! [X26,X27,X28,X29] :
( ~ c_in(X26,c_Relation_Oconverse(X27,X28,X29),tc_prod(X29,X28))
| X26 = c_Pair(c_Main_OconverseE__2(X27,X26,X28,X29),c_Main_OconverseE__1(X27,X26,X28,X29),X29,X28) ),
inference(variable_rename,[status(thm)],[c_0_1192]) ).
fof(c_0_2335,plain,
! [X16,X17,X18,X19] :
( ~ c_in(c_Pair(X18,X17,X19,X19),X16,tc_prod(X19,X19))
| c_in(c_Pair(X18,X17,X19,X19),c_Transitive__Closure_Otrancl(X16,X19),tc_prod(X19,X19)) ),
inference(variable_rename,[status(thm)],[c_0_1193]) ).
fof(c_0_2336,plain,
! [X37,X38,X39,X40,X41,X42] :
( ~ c_in(X37,X39,tc_set(tc_Datatype__Universe_Onode(X42,X41)))
| ~ c_in(X38,X40,tc_set(tc_Datatype__Universe_Onode(X42,X41)))
| c_in(c_Datatype__Universe_OScons(X38,X37,X42,X41),c_Datatype__Universe_Ouprod(X40,X39,X42,X41),tc_set(tc_Datatype__Universe_Onode(X42,X41))) ),
inference(variable_rename,[status(thm)],[c_0_1194]) ).
fof(c_0_2337,plain,
! [X42,X43,X44] :
( ~ c_Divides_Oop_Advd(X44,X42,tc_nat)
| ~ c_Divides_Oop_Advd(X44,X43,tc_nat)
| c_Divides_Oop_Advd(X44,c_GCD_Ogcd(c_Pair(X43,X42,tc_nat,tc_nat)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1195]) ).
fof(c_0_2338,plain,
! [X16,X17,X18,X19,X20] :
( ~ c_in(c_Pair(X18,X17,X20,X19),X16,tc_prod(X20,X19))
| c_in(X18,c_Relation_ODomain(X16,X20,X19),X20) ),
inference(variable_rename,[status(thm)],[c_0_1196]) ).
fof(c_0_2339,plain,
! [X16,X17,X18,X19,X20] :
( ~ c_in(c_Pair(X18,X17,X20,X19),X16,tc_prod(X20,X19))
| c_in(X17,c_Relation_ORange(X16,X20,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1197]) ).
fof(c_0_2340,plain,
! [X29,X30,X31] :
( ~ c_in(c_Pair(c_List_Olist_ONil,X29,tc_List_Olist(X31),tc_List_Olist(X31)),c_List_Olistrel(X30,X31),tc_prod(tc_List_Olist(X31),tc_List_Olist(X31)))
| X29 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1198])])]) ).
fof(c_0_2341,plain,
! [X29,X30,X31] :
( ~ c_in(c_Pair(X29,c_List_Olist_ONil,tc_List_Olist(X31),tc_List_Olist(X31)),c_List_Olistrel(X30,X31),tc_prod(tc_List_Olist(X31),tc_List_Olist(X31)))
| X29 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1199])])]) ).
fof(c_0_2342,plain,
! [X31,X32] :
( ~ c_in(c_Pair(X32,X31,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| c_less(X32,X31,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1200]) ).
fof(c_0_2343,plain,
! [X16,X17,X18] :
( ~ c_in(c_Pair(X17,X16,X18,X18),c_Relation_OId,tc_prod(X18,X18))
| X17 = X16 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1201])])]) ).
fof(c_0_2344,plain,
! [X37,X38,X39,X40,X41] :
( ~ c_in(X37,X39,tc_set(tc_Datatype__Universe_Onode(X41,X40)))
| c_in(c_Datatype__Universe_OIn0(X37,X41,X40),c_Datatype__Universe_Ousum(X39,X38,X41,X40),tc_set(tc_Datatype__Universe_Onode(X41,X40))) ),
inference(variable_rename,[status(thm)],[c_0_1202]) ).
fof(c_0_2345,plain,
! [X36,X37,X38,X39,X40] :
( ~ c_in(X36,X37,tc_set(tc_Datatype__Universe_Onode(X40,X39)))
| c_in(c_Datatype__Universe_OIn1(X36,X40,X39),c_Datatype__Universe_Ousum(X38,X37,X40,X39),tc_set(tc_Datatype__Universe_Onode(X40,X39))) ),
inference(variable_rename,[status(thm)],[c_0_1203]) ).
fof(c_0_2346,plain,
! [X20,X21,X22,X23] :
( ~ c_in(c_minus(X22,c_insert(X20,X21,X23),tc_set(X23)),c_Finite__Set_OFinites,tc_set(X23))
| c_in(c_minus(X22,X21,tc_set(X23)),c_Finite__Set_OFinites,tc_set(X23)) ),
inference(variable_rename,[status(thm)],[c_0_1204]) ).
fof(c_0_2347,plain,
! [X39,X40,X41,X42,X43,X44] :
( c_Datatype__Universe_OScons(X42,X40,X44,X43) != c_Datatype__Universe_OScons(X41,X39,X44,X43)
| X42 = X41 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1205])])]) ).
fof(c_0_2348,plain,
! [X39,X40,X41,X42,X43,X44] :
( c_Datatype__Universe_OScons(X42,X40,X44,X43) != c_Datatype__Universe_OScons(X41,X39,X44,X43)
| X40 = X39 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1206])])]) ).
fof(c_0_2349,plain,
! [X45,X46,X47,X48,X49,X50] :
( c_Pair(X48,X46,X50,X49) != c_Pair(X47,X45,X50,X49)
| X48 = X47 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1207])])]) ).
fof(c_0_2350,plain,
! [X45,X46,X47,X48,X49,X50] :
( c_Pair(X48,X46,X50,X49) != c_Pair(X47,X45,X50,X49)
| X46 = X45 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1208])])]) ).
fof(c_0_2351,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X20,X22,X24)
| c_in(c_Sum__Type_OInl(X20,X24,X23),c_Sum__Type_OPlus(X22,X21,X24,X23),tc_sum(X24,X23)) ),
inference(variable_rename,[status(thm)],[c_0_1209]) ).
fof(c_0_2352,plain,
! [X20,X21,X22,X23,X24] :
( ~ c_in(X20,X21,X24)
| c_in(c_Sum__Type_OInr(X20,X24,X23),c_Sum__Type_OPlus(X22,X21,X23,X24),tc_sum(X23,X24)) ),
inference(variable_rename,[status(thm)],[c_0_1210]) ).
fof(c_0_2353,plain,
! [X20,X21,X22] :
( ~ c_in(X20,X21,X22)
| c_in(c_Pair(X20,X20,X22,X22),c_Relation_Odiag(X21,X22),tc_prod(X22,X22)) ),
inference(variable_rename,[status(thm)],[c_0_1211]) ).
fof(c_0_2354,plain,
! [X20,X21,X22,X23] :
( ~ c_in(c_minus(X22,X21,tc_set(X23)),c_Finite__Set_OFinites,tc_set(X23))
| c_in(c_minus(X22,c_insert(X20,X21,X23),tc_set(X23)),c_Finite__Set_OFinites,tc_set(X23)) ),
inference(variable_rename,[status(thm)],[c_0_1212]) ).
fof(c_0_2355,plain,
! [X31,X32] :
( ~ c_less(X32,X31,tc_nat)
| c_in(c_Pair(X32,X31,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
inference(variable_rename,[status(thm)],[c_0_1213]) ).
fof(c_0_2356,plain,
! [X21,X22,X23] :
( ~ c_in(X21,c_Relation_Odiag(X22,X23),tc_prod(X23,X23))
| X21 = c_Pair(c_Main_OdiagE__1(X22,X21,X23),c_Main_OdiagE__1(X22,X21,X23),X23,X23) ),
inference(variable_rename,[status(thm)],[c_0_1214]) ).
fof(c_0_2357,plain,
! [X5,X6,X7,X8] :
( ~ c_in(X5,c_Zorn_OTFin(X7,X8),tc_set(tc_set(X8)))
| ~ c_in(X6,c_Zorn_OTFin(X7,X8),tc_set(tc_set(X8)))
| ~ c_lessequals(X5,X6,tc_set(tc_set(X8)))
| c_lessequals(c_Zorn_Osucc(X7,X5,X8),X6,tc_set(tc_set(X8)))
| X5 = X6 ),
inference(variable_rename,[status(thm)],[c_0_1215]) ).
fof(c_0_2358,plain,
! [X13,X14,X15,X16] :
( ~ c_Relation_Otrans(X13,X15)
| ~ c_Relation_Otrans(X14,X16)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X14,X13,X16,X15),tc_prod(X16,X15)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1216])])]) ).
fof(c_0_2359,plain,
! [X11,X12,X13,X14] :
( ~ c_Wellfounded__Recursion_Owf(X11,X13)
| ~ c_Wellfounded__Recursion_Owf(X12,X14)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X12,X11,X14,X13),tc_prod(X14,X13)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1217])])]) ).
fof(c_0_2360,plain,
! [X31,X32,X33,X34,X35] :
( c_append(X33,c_List_Olist_OCons(X34,c_List_Olist_ONil,X35),X35) != c_append(X31,c_List_Olist_OCons(X32,c_List_Olist_ONil,X35),X35)
| X33 = X31 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1218])])]) ).
fof(c_0_2361,plain,
! [X31,X32,X33,X34,X35] :
( c_append(X33,c_List_Olist_OCons(X34,c_List_Olist_ONil,X35),X35) != c_append(X31,c_List_Olist_OCons(X32,c_List_Olist_ONil,X35),X35)
| X34 = X32 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1219])])]) ).
fof(c_0_2362,plain,
! [X30,X31,X32,X33] :
( ~ c_in(X30,c_List_Olists(X32,X33),tc_List_Olist(X33))
| ~ c_in(X31,c_List_Olists(X32,X33),tc_List_Olist(X33))
| c_in(c_append(X31,X30,X33),c_List_Olists(X32,X33),tc_List_Olist(X33)) ),
inference(variable_rename,[status(thm)],[c_0_1220]) ).
fof(c_0_2363,plain,
! [X14,X15,X16] :
( ~ c_in(c_Relation_Oconverse(X14,X15,X16),c_Finite__Set_OFinites,tc_set(tc_prod(X16,X15)))
| c_in(X14,c_Finite__Set_OFinites,tc_set(tc_prod(X15,X16))) ),
inference(variable_rename,[status(thm)],[c_0_1221]) ).
fof(c_0_2364,plain,
! [X17,X18] :
( ~ c_in(X17,c_Relation_OId,tc_prod(X18,X18))
| X17 = c_Pair(c_Main_OIdE__1(X17,X18),c_Main_OIdE__1(X17,X18),X18,X18) ),
inference(variable_rename,[status(thm)],[c_0_1222]) ).
fof(c_0_2365,plain,
! [X28,X29,X30,X31] :
( ~ c_in(X29,X30,X31)
| ~ c_in(X28,c_List_Olists(X30,X31),tc_List_Olist(X31))
| c_in(c_List_Olist_OCons(X29,X28,X31),c_List_Olists(X30,X31),tc_List_Olist(X31)) ),
inference(variable_rename,[status(thm)],[c_0_1223]) ).
fof(c_0_2366,plain,
! [X14,X15,X16] :
( ~ c_in(X14,c_Finite__Set_OFinites,tc_set(tc_prod(X15,X16)))
| c_in(c_Relation_Oconverse(X14,X15,X16),c_Finite__Set_OFinites,tc_set(tc_prod(X16,X15))) ),
inference(variable_rename,[status(thm)],[c_0_1224]) ).
fof(c_0_2367,plain,
! [X30,X31,X32,X33] :
( ~ c_in(c_append(X31,X30,X33),c_List_Olists(X32,X33),tc_List_Olist(X33))
| c_in(X31,c_List_Olists(X32,X33),tc_List_Olist(X33)) ),
inference(variable_rename,[status(thm)],[c_0_1225]) ).
fof(c_0_2368,plain,
! [X30,X31,X32,X33] :
( ~ c_in(c_append(X31,X30,X33),c_List_Olists(X32,X33),tc_List_Olist(X33))
| c_in(X30,c_List_Olists(X32,X33),tc_List_Olist(X33)) ),
inference(variable_rename,[status(thm)],[c_0_1226]) ).
fof(c_0_2369,plain,
! [X28,X29,X30,X31] :
( ~ c_in(c_List_Olist_OCons(X28,X29,X31),c_List_Olists(X30,X31),tc_List_Olist(X31))
| c_in(X29,c_List_Olists(X30,X31),tc_List_Olist(X31)) ),
inference(variable_rename,[status(thm)],[c_0_1227]) ).
fof(c_0_2370,plain,
! [X27,X28,X29] :
( ~ c_lessequals(X28,c_insert(X27,c_emptyset,X29),tc_set(X29))
| c_insert(X27,X28,X29) = c_insert(X27,c_emptyset,X29) ),
inference(variable_rename,[status(thm)],[c_0_1228]) ).
fof(c_0_2371,plain,
! [X27,X28,X29] :
( ~ c_lessequals(X28,c_insert(X27,c_emptyset,X29),tc_set(X29))
| c_insert(X27,c_emptyset,X29) = c_insert(X27,X28,X29) ),
inference(variable_rename,[status(thm)],[c_0_1229]) ).
fof(c_0_2372,plain,
! [X21,X22,X23,X24] :
( ~ c_in(X21,c_union(X23,X22,X24),X24)
| c_in(X21,X22,X24)
| c_in(X21,X23,X24) ),
inference(variable_rename,[status(thm)],[c_0_1230]) ).
fof(c_0_2373,plain,
! [X21,X22,X23,X24] :
( ~ c_in(X21,X22,X24)
| ~ c_in(X21,c_minus(X23,X22,tc_set(X24)),X24) ),
inference(variable_rename,[status(thm)],[c_0_1231]) ).
fof(c_0_2374,plain,
! [X28,X29,X30,X31] :
( ~ c_in(c_List_Olist_OCons(X28,X29,X31),c_List_Olists(X30,X31),tc_List_Olist(X31))
| c_in(X28,X30,X31) ),
inference(variable_rename,[status(thm)],[c_0_1232]) ).
fof(c_0_2375,plain,
! [X35,X36,X37] :
( ~ c_in(X35,c_Finite__Set_OFinites,tc_set(X37))
| ~ c_in(X36,c_Finite__Set_OFinites,tc_set(X37))
| c_in(c_union(X36,X35,X37),c_Finite__Set_OFinites,tc_set(X37)) ),
inference(variable_rename,[status(thm)],[c_0_1233]) ).
fof(c_0_2376,plain,
! [X3,X4] :
( ~ c_less(c_0,c_plus(X4,X3,tc_nat),tc_nat)
| c_less(c_0,X3,tc_nat)
| c_less(c_0,X4,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1234]) ).
fof(c_0_2377,plain,
! [X29,X30,X31] :
( ~ c_in(c_Main_Oin__listsI__1(X30,X29,X31),X30,X31)
| c_in(X29,c_List_Olists(X30,X31),tc_List_Olist(X31)) ),
inference(variable_rename,[status(thm)],[c_0_1235]) ).
fof(c_0_2378,plain,
! [X22,X23,X24] :
( ~ c_in(X23,c_Main_OInterI__1(X23,X22,X24),X24)
| c_in(X23,c_Inter(X22,X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_1236]) ).
fof(c_0_2379,plain,
! [X21,X22,X23,X24] :
( ~ c_in(X21,X22,X24)
| ~ c_in(X21,X23,X24)
| c_in(X21,c_inter(X23,X22,X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_1237]) ).
fof(c_0_2380,plain,
! [X20,X21,X22,X23] :
( c_insert(X21,X22,X23) != c_insert(X20,c_emptyset,X23)
| c_lessequals(X22,c_insert(X20,c_emptyset,X23),tc_set(X23)) ),
inference(variable_rename,[status(thm)],[c_0_1238]) ).
fof(c_0_2381,plain,
! [X20,X21,X22,X23] :
( c_insert(X20,c_emptyset,X23) != c_insert(X21,X22,X23)
| c_lessequals(X22,c_insert(X20,c_emptyset,X23),tc_set(X23)) ),
inference(variable_rename,[status(thm)],[c_0_1239]) ).
fof(c_0_2382,plain,
! [X20,X21] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(tc_set(X21)))
| ~ c_in(c_Main_Ofinite__Union__1(X20,X21),c_Finite__Set_OFinites,tc_set(X21))
| c_in(c_Union(X20,X21),c_Finite__Set_OFinites,tc_set(X21)) ),
inference(variable_rename,[status(thm)],[c_0_1240]) ).
fof(c_0_2383,plain,
! [X21,X22,X23] :
( ~ c_in(X21,c_Relation_Odiag(X22,X23),tc_prod(X23,X23))
| c_in(c_Main_OdiagE__1(X22,X21,X23),X22,X23) ),
inference(variable_rename,[status(thm)],[c_0_1241]) ).
fof(c_0_2384,plain,
! [X21,X22,X23,X24] :
( ~ c_in(X21,c_minus(X23,X22,tc_set(X24)),X24)
| c_in(X21,X23,X24) ),
inference(variable_rename,[status(thm)],[c_0_1242]) ).
fof(c_0_2385,plain,
! [X35,X36,X37] :
( ~ c_in(c_union(X36,X35,X37),c_Finite__Set_OFinites,tc_set(X37))
| c_in(X36,c_Finite__Set_OFinites,tc_set(X37)) ),
inference(variable_rename,[status(thm)],[c_0_1243]) ).
fof(c_0_2386,plain,
! [X35,X36,X37] :
( ~ c_in(c_union(X36,X35,X37),c_Finite__Set_OFinites,tc_set(X37))
| c_in(X35,c_Finite__Set_OFinites,tc_set(X37)) ),
inference(variable_rename,[status(thm)],[c_0_1244]) ).
fof(c_0_2387,plain,
! [X32,X33,X34,X35] :
( ~ c_in(X32,c_List_Olists(X34,X35),tc_List_Olist(X35))
| ~ c_in(X33,c_List_Oset(X32,X35),X35)
| c_in(X33,X34,X35) ),
inference(variable_rename,[status(thm)],[c_0_1245]) ).
fof(c_0_2388,plain,
! [X21,X22,X23,X24] :
( ~ c_in(X21,X23,X24)
| c_in(X21,X22,X24)
| c_in(X21,c_minus(X23,X22,tc_set(X24)),X24) ),
inference(variable_rename,[status(thm)],[c_0_1246]) ).
fof(c_0_2389,plain,
! [X20,X21,X22] :
( ~ c_in(c_Main_OsubsetI__1(X21,X20,X22),X20,X22)
| c_lessequals(X21,X20,tc_set(X22)) ),
inference(variable_rename,[status(thm)],[c_0_1247]) ).
fof(c_0_2390,plain,
! [X20,X21,X22,X23] :
( ~ c_in(X21,c_insert(X20,X22,X23),X23)
| c_in(X21,X22,X23)
| X21 = X20 ),
inference(variable_rename,[status(thm)],[c_0_1248]) ).
fof(c_0_2391,plain,
! [X21,X22,X23,X24] :
( ~ c_in(X21,c_inter(X23,X22,X24),X24)
| c_in(X21,X22,X24) ),
inference(variable_rename,[status(thm)],[c_0_1249]) ).
fof(c_0_2392,plain,
! [X21,X22,X23,X24] :
( ~ c_in(X21,c_inter(X23,X22,X24),X24)
| c_in(X21,X23,X24) ),
inference(variable_rename,[status(thm)],[c_0_1250]) ).
fof(c_0_2393,plain,
! [X22,X23,X24] :
( ~ c_in(X23,c_Union(X22,X24),X24)
| c_in(c_Main_OUnionE__1(X23,X22,X24),X22,tc_set(X24)) ),
inference(variable_rename,[status(thm)],[c_0_1251]) ).
fof(c_0_2394,plain,
! [X31,X32,X33,X34] :
( c_List_Orev(X33,X34) != c_List_Olist_OCons(X32,X31,X34)
| X33 = c_append(c_List_Orev(X31,X34),c_List_Olist_OCons(X32,c_List_Olist_ONil,X34),X34) ),
inference(variable_rename,[status(thm)],[c_0_1252]) ).
fof(c_0_2395,plain,
! [X22,X23,X24] :
( ~ c_in(X23,c_Union(X22,X24),X24)
| c_in(X23,c_Main_OUnionE__1(X23,X22,X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_1253]) ).
fof(c_0_2396,plain,
! [X20,X21] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(tc_set(X21)))
| c_in(c_Main_Ofinite__Union__1(X20,X21),X20,tc_set(X21))
| c_in(c_Union(X20,X21),c_Finite__Set_OFinites,tc_set(X21)) ),
inference(variable_rename,[status(thm)],[c_0_1254]) ).
fof(c_0_2397,plain,
! [X41,X42,X43,X44] :
( ~ c_in(X41,X42,tc_set(X44))
| ~ c_in(X43,c_Inter(X42,X44),X44)
| c_in(X43,X41,X44) ),
inference(variable_rename,[status(thm)],[c_0_1255]) ).
fof(c_0_2398,plain,
! [X20,X21,X22] :
( ~ c_lessequals(c_uminus(X21,tc_set(X22)),c_uminus(X20,tc_set(X22)),tc_set(X22))
| c_lessequals(X20,X21,tc_set(X22)) ),
inference(variable_rename,[status(thm)],[c_0_1256]) ).
fof(c_0_2399,plain,
! [X29,X30,X31] :
( c_in(X29,c_List_Olists(X30,X31),tc_List_Olist(X31))
| c_in(c_Main_Oin__listsI__1(X30,X29,X31),c_List_Oset(X29,X31),X31) ),
inference(variable_rename,[status(thm)],[c_0_1257]) ).
fof(c_0_2400,plain,
! [X41,X42,X43,X44] :
( ~ c_in(X43,X41,X44)
| ~ c_in(X41,X42,tc_set(X44))
| c_in(X43,c_Union(X42,X44),X44) ),
inference(variable_rename,[status(thm)],[c_0_1258]) ).
fof(c_0_2401,plain,
! [X20,X21,X22] :
( ~ c_in(X21,c_Finite__Set_OFinites,tc_set(X22))
| c_in(c_insert(X20,X21,X22),c_Finite__Set_OFinites,tc_set(X22)) ),
inference(variable_rename,[status(thm)],[c_0_1259]) ).
fof(c_0_2402,plain,
! [X35,X36,X37] :
( ~ c_in(X36,c_Finite__Set_OFinites,tc_set(X37))
| c_in(c_inter(X36,X35,X37),c_Finite__Set_OFinites,tc_set(X37)) ),
inference(variable_rename,[status(thm)],[c_0_1260]) ).
fof(c_0_2403,plain,
! [X35,X36,X37] :
( ~ c_in(X35,c_Finite__Set_OFinites,tc_set(X37))
| c_in(c_inter(X36,X35,X37),c_Finite__Set_OFinites,tc_set(X37)) ),
inference(variable_rename,[status(thm)],[c_0_1261]) ).
fof(c_0_2404,plain,
! [X16,X17,X18] :
( ~ c_in(X16,c_insert(X17,c_emptyset,X18),X18)
| X16 = X17 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1262])])]) ).
fof(c_0_2405,plain,
! [X22,X23,X24] :
( c_in(X23,c_Inter(X22,X24),X24)
| c_in(c_Main_OInterI__1(X23,X22,X24),X22,tc_set(X24)) ),
inference(variable_rename,[status(thm)],[c_0_1263]) ).
fof(c_0_2406,plain,
! [X21,X22,X23,X24] :
( ~ c_in(X21,X22,X24)
| c_in(X21,c_union(X23,X22,X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_1264]) ).
fof(c_0_2407,plain,
! [X21,X22,X23,X24] :
( ~ c_in(X21,X23,X24)
| c_in(X21,c_union(X23,X22,X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_1265]) ).
fof(c_0_2408,plain,
! [X19,X20,X21,X22] :
( ~ c_in(X20,X21,X22)
| c_in(X20,c_insert(X19,X21,X22),X22) ),
inference(variable_rename,[status(thm)],[c_0_1266]) ).
fof(c_0_2409,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Oorder(X33)
| ~ c_lessequals(c_SetInterval_OatLeast(X32,X33),c_SetInterval_OatLeast(X31,X33),tc_set(X33))
| c_lessequals(X31,X32,X33) ),
inference(variable_rename,[status(thm)],[c_0_1267]) ).
fof(c_0_2410,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Oorder(X33)
| ~ c_lessequals(c_SetInterval_OatMost(X32,X33),c_SetInterval_OatMost(X31,X33),tc_set(X33))
| c_lessequals(X32,X31,X33) ),
inference(variable_rename,[status(thm)],[c_0_1268]) ).
fof(c_0_2411,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X32,X33),c_SetInterval_OgreaterThan(X31,X33),tc_set(X33))
| c_lessequals(X31,X32,X33) ),
inference(variable_rename,[status(thm)],[c_0_1269]) ).
fof(c_0_2412,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| ~ c_lessequals(c_SetInterval_OlessThan(X32,X33),c_SetInterval_OlessThan(X31,X33),tc_set(X33))
| c_lessequals(X32,X31,X33) ),
inference(variable_rename,[status(thm)],[c_0_1270]) ).
fof(c_0_2413,plain,
! [X3,X4] :
( ~ c_less(c_0,X4,tc_nat)
| c_less(c_0,c_plus(X4,X3,tc_nat),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1271]) ).
fof(c_0_2414,plain,
! [X3,X4] :
( ~ c_less(c_0,X3,tc_nat)
| c_less(c_0,c_plus(X4,X3,tc_nat),tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1272])])]) ).
fof(c_0_2415,plain,
! [X21,X22,X23,X24] :
( ~ c_in(X21,X23,X24)
| ~ c_lessequals(X23,X22,tc_set(X24))
| c_in(X21,X22,X24) ),
inference(variable_rename,[status(thm)],[c_0_1273]) ).
fof(c_0_2416,plain,
! [X17,X18,X19] :
( ~ c_in(X18,X17,tc_prod(X19,X19))
| c_in(X18,c_Transitive__Closure_Ortrancl(X17,X19),tc_prod(X19,X19)) ),
inference(variable_rename,[status(thm)],[c_0_1274]) ).
fof(c_0_2417,plain,
! [X20,X21,X22] :
( ~ c_lessequals(X20,X21,tc_set(X22))
| c_lessequals(c_uminus(X21,tc_set(X22)),c_uminus(X20,tc_set(X22)),tc_set(X22)) ),
inference(variable_rename,[status(thm)],[c_0_1275]) ).
fof(c_0_2418,plain,
! [X21,X22,X23] :
( ~ c_in(X21,X22,X23)
| ~ c_in(X21,c_uminus(X22,tc_set(X23)),X23) ),
inference(variable_rename,[status(thm)],[c_0_1276]) ).
fof(c_0_2419,plain,
! [X20,X21,X22] :
( c_in(c_Main_OsubsetI__1(X21,X20,X22),X21,X22)
| c_lessequals(X21,X20,tc_set(X22)) ),
inference(variable_rename,[status(thm)],[c_0_1277]) ).
fof(c_0_2420,plain,
! [X20,X21] :
( ~ c_in(c_Pow(X20,X21),c_Finite__Set_OFinites,tc_set(tc_set(X21)))
| c_in(X20,c_Finite__Set_OFinites,tc_set(X21)) ),
inference(variable_rename,[status(thm)],[c_0_1278]) ).
fof(c_0_2421,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Oorder(X33)
| ~ c_lessequals(X31,X32,X33)
| c_lessequals(c_SetInterval_OatLeast(X32,X33),c_SetInterval_OatLeast(X31,X33),tc_set(X33)) ),
inference(variable_rename,[status(thm)],[c_0_1279]) ).
fof(c_0_2422,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Oorder(X33)
| ~ c_lessequals(X32,X31,X33)
| c_lessequals(c_SetInterval_OatMost(X32,X33),c_SetInterval_OatMost(X31,X33),tc_set(X33)) ),
inference(variable_rename,[status(thm)],[c_0_1280]) ).
fof(c_0_2423,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| ~ c_lessequals(X31,X32,X33)
| c_lessequals(c_SetInterval_OgreaterThan(X32,X33),c_SetInterval_OgreaterThan(X31,X33),tc_set(X33)) ),
inference(variable_rename,[status(thm)],[c_0_1281]) ).
fof(c_0_2424,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| ~ c_lessequals(X32,X31,X33)
| c_lessequals(c_SetInterval_OlessThan(X32,X33),c_SetInterval_OlessThan(X31,X33),tc_set(X33)) ),
inference(variable_rename,[status(thm)],[c_0_1282]) ).
fof(c_0_2425,plain,
! [X14,X15] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X14,X15,X15),X15)
| c_Wellfounded__Recursion_Oacyclic(X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_1283]) ).
fof(c_0_2426,plain,
! [X20,X21,X22] :
( ~ c_in(X21,c_Pow(X20,X22),tc_set(X22))
| c_lessequals(X21,X20,tc_set(X22)) ),
inference(variable_rename,[status(thm)],[c_0_1284]) ).
fof(c_0_2427,plain,
! [X31,X32,X33,X34] :
( ~ c_Infinite__Set_Oatmost__one(X33,X34)
| ~ c_in(X31,X33,X34)
| ~ c_in(X32,X33,X34)
| X31 = X32 ),
inference(variable_rename,[status(thm)],[c_0_1285]) ).
fof(c_0_2428,plain,
! [X20,X21,X22] :
( ~ c_lessequals(X20,X21,tc_set(X22))
| ~ c_lessequals(X21,X20,tc_set(X22))
| X21 = X20 ),
inference(variable_rename,[status(thm)],[c_0_1286]) ).
fof(c_0_2429,plain,
! [X20,X21,X22] :
( ~ c_less(X21,X20,tc_set(X22))
| ~ c_lessequals(X20,X21,tc_set(X22)) ),
inference(variable_rename,[status(thm)],[c_0_1287]) ).
fof(c_0_2430,plain,
! [X20,X21] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X21))
| c_in(c_Pow(X20,X21),c_Finite__Set_OFinites,tc_set(tc_set(X21))) ),
inference(variable_rename,[status(thm)],[c_0_1288]) ).
fof(c_0_2431,plain,
! [X43,X44,X45] :
( ~ class_Orderings_Oord(X45)
| ~ c_in(X44,c_SetInterval_OatLeast(X43,X45),X45)
| c_lessequals(X43,X44,X45) ),
inference(variable_rename,[status(thm)],[c_0_1289]) ).
fof(c_0_2432,plain,
! [X43,X44,X45] :
( ~ class_Orderings_Oord(X45)
| ~ c_in(X44,c_SetInterval_OatMost(X43,X45),X45)
| c_lessequals(X44,X43,X45) ),
inference(variable_rename,[status(thm)],[c_0_1290]) ).
fof(c_0_2433,plain,
! [X43,X44,X45] :
( ~ class_Orderings_Oord(X45)
| ~ c_in(X44,c_SetInterval_OgreaterThan(X43,X45),X45)
| c_less(X43,X44,X45) ),
inference(variable_rename,[status(thm)],[c_0_1291]) ).
fof(c_0_2434,plain,
! [X43,X44,X45] :
( ~ class_Orderings_Oord(X45)
| ~ c_in(X44,c_SetInterval_OlessThan(X43,X45),X45)
| c_less(X44,X43,X45) ),
inference(variable_rename,[status(thm)],[c_0_1292]) ).
fof(c_0_2435,plain,
! [X20,X21,X22] :
( ~ c_lessequals(X21,X20,tc_set(X22))
| c_in(X21,c_Pow(X20,X22),tc_set(X22)) ),
inference(variable_rename,[status(thm)],[c_0_1293]) ).
fof(c_0_2436,plain,
! [X43,X44,X45] :
( ~ class_Orderings_Oord(X45)
| ~ c_lessequals(X43,X44,X45)
| c_in(X44,c_SetInterval_OatLeast(X43,X45),X45) ),
inference(variable_rename,[status(thm)],[c_0_1294]) ).
fof(c_0_2437,plain,
! [X43,X44,X45] :
( ~ class_Orderings_Oord(X45)
| ~ c_lessequals(X44,X43,X45)
| c_in(X44,c_SetInterval_OatMost(X43,X45),X45) ),
inference(variable_rename,[status(thm)],[c_0_1295]) ).
fof(c_0_2438,plain,
! [X43,X44,X45] :
( ~ class_Orderings_Oord(X45)
| ~ c_less(X43,X44,X45)
| c_in(X44,c_SetInterval_OgreaterThan(X43,X45),X45) ),
inference(variable_rename,[status(thm)],[c_0_1296]) ).
fof(c_0_2439,plain,
! [X43,X44,X45] :
( ~ class_Orderings_Oord(X45)
| ~ c_less(X44,X43,X45)
| c_in(X44,c_SetInterval_OlessThan(X43,X45),X45) ),
inference(variable_rename,[status(thm)],[c_0_1297]) ).
fof(c_0_2440,plain,
! [X16,X17,X18,X19] :
( c_Datatype__Universe_OAtom(X17,X19,X18) != c_Datatype__Universe_OAtom(X16,X19,X18)
| X17 = X16 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1298])])]) ).
fof(c_0_2441,plain,
! [X37,X38,X39,X40] :
( c_Datatype__Universe_OIn0(X38,X40,X39) != c_Datatype__Universe_OIn0(X37,X40,X39)
| X38 = X37 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1299])])]) ).
fof(c_0_2442,plain,
! [X37,X38,X39,X40] :
( c_Datatype__Universe_OIn1(X38,X40,X39) != c_Datatype__Universe_OIn1(X37,X40,X39)
| X38 = X37 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1300])])]) ).
fof(c_0_2443,plain,
! [X46,X47,X48,X49] :
( c_append(X47,X48,X49) != c_append(X46,X48,X49)
| X47 = X46 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1301])])]) ).
fof(c_0_2444,plain,
! [X48,X49,X50,X51,X52] :
( c_List_Olist_OCons(X51,X49,X52) != c_List_Olist_OCons(X50,X48,X52)
| X51 = X50 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1302])])]) ).
fof(c_0_2445,plain,
! [X48,X49,X50,X51,X52] :
( c_List_Olist_OCons(X51,X49,X52) != c_List_Olist_OCons(X50,X48,X52)
| X49 = X48 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1303])])]) ).
fof(c_0_2446,plain,
! [X46,X47,X48,X49] :
( c_append(X48,X47,X49) != c_append(X48,X46,X49)
| X47 = X46 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1304])])]) ).
fof(c_0_2447,plain,
! [X31,X32,X33,X34] :
( c_Sum__Type_OInl(X32,X34,X33) != c_Sum__Type_OInl(X31,X34,X33)
| X32 = X31 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1305])])]) ).
fof(c_0_2448,plain,
! [X31,X32,X33,X34] :
( c_Sum__Type_OInr(X32,X33,X34) != c_Sum__Type_OInr(X31,X33,X34)
| X32 = X31 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1306])])]) ).
fof(c_0_2449,plain,
! [X31,X32,X33,X34] :
( c_Datatype__Universe_OLeaf(X32,X34,X33) != c_Datatype__Universe_OLeaf(X31,X34,X33)
| X32 = X31 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1307])])]) ).
fof(c_0_2450,plain,
! [X31,X32,X33,X34] :
( c_Datatype__Universe_ONumb(X32,X34,X33) != c_Datatype__Universe_ONumb(X31,X34,X33)
| X32 = X31 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1308])])]) ).
fof(c_0_2451,plain,
! [X53,X54] :
( ~ c_Divides_Oop_Advd(X53,c_uminus(X54,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(X53,X54,tc_IntDef_Oint) ),
inference(variable_rename,[status(thm)],[c_0_1309]) ).
fof(c_0_2452,plain,
! [X53,X54] :
( ~ c_Divides_Oop_Advd(c_uminus(X53,tc_IntDef_Oint),X54,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X53,X54,tc_IntDef_Oint) ),
inference(variable_rename,[status(thm)],[c_0_1310]) ).
fof(c_0_2453,plain,
! [X20,X21,X22,X23] :
( c_insert(X21,X22,X23) != c_insert(X20,c_emptyset,X23)
| X21 = X20 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1311])])]) ).
fof(c_0_2454,plain,
! [X20,X21,X22,X23] :
( c_insert(X20,c_emptyset,X23) != c_insert(X21,X22,X23)
| X21 = X20 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1312])])]) ).
fof(c_0_2455,plain,
! [X16,X17,X18] :
( c_insert(X17,c_emptyset,X18) != c_insert(X16,c_emptyset,X18)
| X17 = X16 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1313])])]) ).
fof(c_0_2456,plain,
! [X33,X34] :
( c_Divides_Oop_Amod(X33,X34,tc_nat) != c_0
| X33 = c_times(X34,c_Main_Omod__eq__0D__dest__1(X34,X33),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1314]) ).
fof(c_0_2457,plain,
! [X33,X34] :
( c_Divides_Oop_Amod(X33,X34,tc_IntDef_Oint) != c_0
| X33 = c_times(X34,c_Main_Ozmod__eq__0D__dest__1(X34,X33),tc_IntDef_Oint) ),
inference(variable_rename,[status(thm)],[c_0_1315]) ).
fof(c_0_2458,plain,
! [X53,X54] :
( ~ c_Divides_Oop_Advd(X53,X54,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X53,c_uminus(X54,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(variable_rename,[status(thm)],[c_0_1316]) ).
fof(c_0_2459,plain,
! [X53,X54] :
( ~ c_Divides_Oop_Advd(X53,X54,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X53,tc_IntDef_Oint),X54,tc_IntDef_Oint) ),
inference(variable_rename,[status(thm)],[c_0_1317]) ).
fof(c_0_2460,plain,
! [X20,X21,X22] :
( ~ c_lessequals(X21,X20,tc_set(X22))
| c_less(X21,X20,tc_set(X22))
| X21 = X20 ),
inference(variable_rename,[status(thm)],[c_0_1318]) ).
fof(c_0_2461,plain,
! [X20,X21,X22] :
( ~ c_less(X21,X20,tc_set(X22))
| c_lessequals(X21,X20,tc_set(X22)) ),
inference(variable_rename,[status(thm)],[c_0_1319]) ).
fof(c_0_2462,plain,
! [X3,X4] :
( ~ c_lessequals(c_Suc(X3),c_Suc(X4),tc_nat)
| c_lessequals(X3,X4,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1320]) ).
fof(c_0_2463,plain,
! [X3,X4] :
( ~ c_less(c_Suc(X4),c_Suc(X3),tc_nat)
| c_less(X4,X3,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1321]) ).
fof(c_0_2464,plain,
! [X3,X4] :
( ~ c_lessequals(X3,X4,tc_nat)
| c_lessequals(c_Suc(X3),c_Suc(X4),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1322]) ).
fof(c_0_2465,plain,
! [X3,X4] :
( ~ c_less(X4,X3,tc_nat)
| c_less(c_Suc(X4),c_Suc(X3),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1323]) ).
fof(c_0_2466,plain,
! [X21,X22,X23] :
( c_in(X21,X22,X23)
| c_in(X21,c_uminus(X22,tc_set(X23)),X23) ),
inference(variable_rename,[status(thm)],[c_0_1324]) ).
fof(c_0_2467,plain,
! [X14,X15] :
( ~ c_Wellfounded__Recursion_Oacyclic(X14,X15)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X14,X15,X15),X15) ),
inference(variable_rename,[status(thm)],[c_0_1325]) ).
fof(c_0_2468,plain,
! [X54,X55,X56] :
( ~ c_in(X55,c_Datatype_Oo2s(X54,X56),X56)
| X54 = c_Datatype_Ooption_OSome(X55,X56) ),
inference(variable_rename,[status(thm)],[c_0_1326]) ).
fof(c_0_2469,plain,
! [X29,X30] :
( c_Nat_Osize(c_List_Oremdups(X29,X30),tc_List_Olist(X30)) != c_Nat_Osize(X29,tc_List_Olist(X30))
| c_List_Oremdups(X29,X30) = X29 ),
inference(variable_rename,[status(thm)],[c_0_1327]) ).
fof(c_0_2470,plain,
! [X27,X28] :
( ~ class_Orderings_Oorder(X28)
| ~ c_less(X27,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_1328]) ).
fof(c_0_2471,plain,
! [X29,X30] :
( c_less(c_0,c_Nat_Osize(X29,tc_List_Olist(X30)),tc_nat)
| X29 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1329])])]) ).
fof(c_0_2472,plain,
! [X29,X30] :
( c_List_Oremdups(X29,X30) != X29
| c_Nat_Osize(c_List_Oremdups(X29,X30),tc_List_Olist(X30)) = c_Nat_Osize(X29,tc_List_Olist(X30)) ),
inference(variable_rename,[status(thm)],[c_0_1330]) ).
fof(c_0_2473,plain,
! [X2] :
( ~ c_less(X2,c_Suc(c_0),tc_nat)
| X2 = c_0 ),
inference(variable_rename,[status(thm)],[c_0_1331]) ).
fof(c_0_2474,plain,
! [X30,X31,X32] :
( c_append(X31,X30,X32) != X30
| X31 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1332])])]) ).
fof(c_0_2475,plain,
! [X30,X31,X32] :
( c_append(X31,X30,X32) != X31
| X30 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1333])])]) ).
fof(c_0_2476,plain,
! [X30,X31,X32] :
( X30 != c_append(X31,X30,X32)
| X31 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1334])])]) ).
fof(c_0_2477,plain,
! [X30,X31,X32] :
( X31 != c_append(X31,X30,X32)
| X30 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1335])])]) ).
fof(c_0_2478,plain,
! [X20,X21,X22] :
( c_emptyset != c_Equiv__Relations_Oquotient(X21,X20,X22)
| X21 = c_emptyset ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1336])])]) ).
fof(c_0_2479,plain,
! [X20,X21,X22] :
( c_Equiv__Relations_Oquotient(X21,X20,X22) != c_emptyset
| X21 = c_emptyset ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1337])])]) ).
fof(c_0_2480,plain,
! [X30,X31,X32] :
( c_List_Olist_ONil != c_append(X31,X30,X32)
| X31 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1338])])]) ).
fof(c_0_2481,plain,
! [X30,X31,X32] :
( c_List_Olist_ONil != c_append(X31,X30,X32)
| X30 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1339])])]) ).
fof(c_0_2482,plain,
! [X30,X31,X32] :
( c_append(X31,X30,X32) != c_List_Olist_ONil
| X31 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1340])])]) ).
fof(c_0_2483,plain,
! [X30,X31,X32] :
( c_append(X31,X30,X32) != c_List_Olist_ONil
| X30 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1341])])]) ).
fof(c_0_2484,plain,
! [X20,X21,X22] :
( c_union(X21,X20,X22) != c_emptyset
| X21 = c_emptyset ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1342])])]) ).
fof(c_0_2485,plain,
! [X20,X21,X22] :
( c_union(X21,X20,X22) != c_emptyset
| X20 = c_emptyset ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1343])])]) ).
fof(c_0_2486,plain,
! [X3,X4] :
( c_plus(X4,X3,tc_nat) != c_0
| X4 = c_0 ),
inference(variable_rename,[status(thm)],[c_0_1344]) ).
fof(c_0_2487,plain,
! [X3,X4] :
( c_plus(X4,X3,tc_nat) != c_0
| X3 = c_0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1345])])]) ).
fof(c_0_2488,plain,
! [X3] :
( ~ c_Divides_Oop_Advd(c_0,X3,tc_nat)
| X3 = c_0 ),
inference(variable_rename,[status(thm)],[c_0_1346]) ).
fof(c_0_2489,plain,
! [X3] :
( ~ c_Divides_Oop_Advd(c_0,X3,tc_IntDef_Oint)
| X3 = c_0 ),
inference(variable_rename,[status(thm)],[c_0_1347]) ).
fof(c_0_2490,plain,
! [X43] :
( ~ c_lessequals(X43,c_0,tc_nat)
| X43 = c_0 ),
inference(variable_rename,[status(thm)],[c_0_1348]) ).
fof(c_0_2491,plain,
! [X2] :
( ~ c_less(X2,c_1,tc_nat)
| X2 = c_0 ),
inference(variable_rename,[status(thm)],[c_0_1349]) ).
fof(c_0_2492,plain,
! [X14,X15] :
( ~ c_Wellfounded__Recursion_Owf(X14,X15)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X14,X15),tc_List_Olist(X15)) ),
inference(variable_rename,[status(thm)],[c_0_1350]) ).
fof(c_0_2493,plain,
! [X14,X15] :
( ~ c_Wellfounded__Recursion_Owf(X14,X15)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X14,X15),tc_List_Olist(X15)) ),
inference(variable_rename,[status(thm)],[c_0_1351]) ).
fof(c_0_2494,plain,
! [X20,X21,X22] :
( c_uminus(X21,tc_set(X22)) != c_uminus(X20,tc_set(X22))
| X21 = X20 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1352])])]) ).
fof(c_0_2495,plain,
! [X27,X28] :
( ~ class_Orderings_Oorder(X28)
| c_lessequals(X27,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_1353]) ).
fof(c_0_2496,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| c_SetInterval_OatLeast(X32,X33) != c_SetInterval_OatLeast(X31,X33)
| X32 = X31 ),
inference(variable_rename,[status(thm)],[c_0_1354]) ).
fof(c_0_2497,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| c_SetInterval_OatMost(X32,X33) != c_SetInterval_OatMost(X31,X33)
| X32 = X31 ),
inference(variable_rename,[status(thm)],[c_0_1355]) ).
fof(c_0_2498,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| c_SetInterval_OgreaterThan(X32,X33) != c_SetInterval_OgreaterThan(X31,X33)
| X32 = X31 ),
inference(variable_rename,[status(thm)],[c_0_1356]) ).
fof(c_0_2499,plain,
! [X31,X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| c_SetInterval_OlessThan(X32,X33) != c_SetInterval_OlessThan(X31,X33)
| X32 = X31 ),
inference(variable_rename,[status(thm)],[c_0_1357]) ).
fof(c_0_2500,plain,
! [X2] :
( c_less(c_0,X2,tc_nat)
| X2 = c_0 ),
inference(variable_rename,[status(thm)],[c_0_1358]) ).
fof(c_0_2501,plain,
! [X45,X46,X47] :
( c_Datatype_Ooption_OSome(X46,X47) != c_Datatype_Ooption_OSome(X45,X47)
| X46 = X45 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1359])])]) ).
fof(c_0_2502,plain,
! [X52,X53,X54,X55] :
( c_List_Ochar_OChar(X55,X53) != c_List_Ochar_OChar(X54,X52)
| X55 = X54 ),
inference(variable_rename,[status(thm)],[c_0_1360]) ).
fof(c_0_2503,plain,
! [X52,X53,X54,X55] :
( c_List_Ochar_OChar(X55,X53) != c_List_Ochar_OChar(X54,X52)
| X53 = X52 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1361])])]) ).
fof(c_0_2504,plain,
! [X30,X31,X32] :
( c_List_Orev(X31,X32) != c_List_Orev(X30,X32)
| X31 = X30 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1362])])]) ).
fof(c_0_2505,plain,
! [X8,X9] :
( class_Finite__Set_Ofinite(tc_fun(X8,X9))
| ~ class_Finite__Set_Ofinite(X9)
| ~ class_Finite__Set_Ofinite(X8) ),
inference(variable_rename,[status(thm)],[c_0_1363]) ).
fof(c_0_2506,plain,
! [X8,X9] :
( class_Finite__Set_Ofinite(tc_prod(X8,X9))
| ~ class_Finite__Set_Ofinite(X9)
| ~ class_Finite__Set_Ofinite(X8) ),
inference(variable_rename,[status(thm)],[c_0_1364]) ).
fof(c_0_2507,plain,
! [X8,X9] :
( class_Finite__Set_Ofinite(tc_sum(X8,X9))
| ~ class_Finite__Set_Ofinite(X9)
| ~ class_Finite__Set_Ofinite(X8) ),
inference(variable_rename,[status(thm)],[c_0_1365]) ).
fof(c_0_2508,plain,
! [X27,X28] :
( X27 = c_Datatype_Ooption_ONone
| X27 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X27,X28),X28) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1366])])]) ).
fof(c_0_2509,plain,
! [X27,X28] :
( X27 = c_Datatype_Ooption_ONone
| X27 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X27,X28),X28) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1367])])]) ).
fof(c_0_2510,plain,
! [X29,X30] :
( c_Nat_Osize(X29,tc_List_Olist(X30)) != c_0
| X29 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1368])])]) ).
fof(c_0_2511,plain,
! [X29,X30] :
( c_List_Olist_ONil != c_List_Orev(X29,X30)
| X29 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1369])])]) ).
fof(c_0_2512,plain,
! [X29,X30] :
( c_List_Orev(X29,X30) != c_List_Olist_ONil
| X29 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1370])])]) ).
fof(c_0_2513,plain,
! [X29,X30] :
( c_emptyset != c_List_Oset(X29,X30)
| X29 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1371])])]) ).
fof(c_0_2514,plain,
! [X29,X30] :
( c_List_Oset(X29,X30) != c_emptyset
| X29 = c_List_Olist_ONil ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1372])])]) ).
fof(c_0_2515,plain,
! [X8] :
( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X8))
| ~ class_Finite__Set_Ofinite(X8) ),
inference(variable_rename,[status(thm)],[c_0_1373]) ).
fof(c_0_2516,plain,
! [X8] :
( class_Finite__Set_Ofinite(tc_set(X8))
| ~ class_Finite__Set_Ofinite(X8) ),
inference(variable_rename,[status(thm)],[c_0_1374]) ).
fof(c_0_2517,plain,
! [X3,X4] :
( c_IntDef_Oint(X4) != c_IntDef_Oint(X3)
| X4 = X3 ),
inference(variable_rename,[status(thm)],[c_0_1375]) ).
fof(c_0_2518,plain,
! [X3,X4] :
( c_Suc(X4) != c_Suc(X3)
| X4 = X3 ),
inference(variable_rename,[status(thm)],[c_0_1376]) ).
fof(c_0_2519,plain,
! [X6] :
( ~ class_LOrder_Ojoin__semilorder(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1377]) ).
fof(c_0_2520,plain,
! [X6] :
( ~ class_LOrder_Ojoin__semilorder(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1378]) ).
fof(c_0_2521,plain,
! [X6] :
( ~ class_LOrder_Olorder(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1379]) ).
fof(c_0_2522,plain,
! [X6] :
( ~ class_LOrder_Olorder(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1380]) ).
fof(c_0_2523,plain,
! [X6] :
( ~ class_LOrder_Olorder(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1381]) ).
fof(c_0_2524,plain,
! [X6] :
( ~ class_LOrder_Olorder(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1382]) ).
fof(c_0_2525,plain,
! [X6] :
( ~ class_LOrder_Omeet__semilorder(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1383]) ).
fof(c_0_2526,plain,
! [X6] :
( ~ class_LOrder_Omeet__semilorder(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1384]) ).
fof(c_0_2527,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1385]) ).
fof(c_0_2528,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1386]) ).
fof(c_0_2529,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1387]) ).
fof(c_0_2530,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1388]) ).
fof(c_0_2531,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1389]) ).
fof(c_0_2532,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1390]) ).
fof(c_0_2533,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1391]) ).
fof(c_0_2534,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1392]) ).
fof(c_0_2535,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1393]) ).
fof(c_0_2536,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1394]) ).
fof(c_0_2537,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1395]) ).
fof(c_0_2538,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Ocomm__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1396]) ).
fof(c_0_2539,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1397]) ).
fof(c_0_2540,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1398]) ).
fof(c_0_2541,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1399]) ).
fof(c_0_2542,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1400]) ).
fof(c_0_2543,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_OrderedGroup_Ocomm__monoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1401]) ).
fof(c_0_2544,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1402]) ).
fof(c_0_2545,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Ocomm__semiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1403]) ).
fof(c_0_2546,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Osemiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1404]) ).
fof(c_0_2547,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Oring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1405]) ).
fof(c_0_2548,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1406]) ).
fof(c_0_2549,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Ocomm__ring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1407]) ).
fof(c_0_2550,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1408]) ).
fof(c_0_2551,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Numeral_Onumber(X6) ),
inference(variable_rename,[status(thm)],[c_0_1409]) ).
fof(c_0_2552,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1410]) ).
fof(c_0_2553,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1411]) ).
fof(c_0_2554,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1412]) ).
fof(c_0_2555,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1413]) ).
fof(c_0_2556,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1414]) ).
fof(c_0_2557,plain,
! [X6] :
( ~ class_Numeral_Onumber__ring(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1415]) ).
fof(c_0_2558,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1416]) ).
fof(c_0_2559,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1417]) ).
fof(c_0_2560,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1418]) ).
fof(c_0_2561,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1419]) ).
fof(c_0_2562,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1420]) ).
fof(c_0_2563,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1421]) ).
fof(c_0_2564,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1422]) ).
fof(c_0_2565,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1423]) ).
fof(c_0_2566,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__semigroup__add(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1424]) ).
fof(c_0_2567,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__semigroup__add(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1425]) ).
fof(c_0_2568,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1426]) ).
fof(c_0_2569,plain,
! [X6] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1427]) ).
fof(c_0_2570,plain,
! [X6] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1428]) ).
fof(c_0_2571,plain,
! [X6] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1429]) ).
fof(c_0_2572,plain,
! [X6] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1430]) ).
fof(c_0_2573,plain,
! [X6] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1431]) ).
fof(c_0_2574,plain,
! [X6] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1432]) ).
fof(c_0_2575,plain,
! [X6] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1433]) ).
fof(c_0_2576,plain,
! [X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1434]) ).
fof(c_0_2577,plain,
! [X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1435]) ).
fof(c_0_2578,plain,
! [X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1436]) ).
fof(c_0_2579,plain,
! [X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1437]) ).
fof(c_0_2580,plain,
! [X6] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1438]) ).
fof(c_0_2581,plain,
! [X6] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1439]) ).
fof(c_0_2582,plain,
! [X6] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1440]) ).
fof(c_0_2583,plain,
! [X6] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1441]) ).
fof(c_0_2584,plain,
! [X6] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1442]) ).
fof(c_0_2585,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_OrderedGroup_Opordered__ab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1443]) ).
fof(c_0_2586,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1444]) ).
fof(c_0_2587,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1445]) ).
fof(c_0_2588,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1446]) ).
fof(c_0_2589,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1447]) ).
fof(c_0_2590,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1448]) ).
fof(c_0_2591,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1449]) ).
fof(c_0_2592,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1450]) ).
fof(c_0_2593,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1451]) ).
fof(c_0_2594,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1452]) ).
fof(c_0_2595,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1453]) ).
fof(c_0_2596,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1454]) ).
fof(c_0_2597,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1455]) ).
fof(c_0_2598,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_1456]) ).
fof(c_0_2599,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1457]) ).
fof(c_0_2600,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1458]) ).
fof(c_0_2601,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1459]) ).
fof(c_0_2602,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1460]) ).
fof(c_0_2603,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_OrderedGroup_Olordered__ab__group(X6) ),
inference(variable_rename,[status(thm)],[c_0_1461]) ).
fof(c_0_2604,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_OrderedGroup_Opordered__ab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1462]) ).
fof(c_0_2605,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1463]) ).
fof(c_0_2606,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1464]) ).
fof(c_0_2607,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1465]) ).
fof(c_0_2608,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1466]) ).
fof(c_0_2609,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1467]) ).
fof(c_0_2610,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1468]) ).
fof(c_0_2611,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1469]) ).
fof(c_0_2612,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1470]) ).
fof(c_0_2613,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1471]) ).
fof(c_0_2614,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1472]) ).
fof(c_0_2615,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1473]) ).
fof(c_0_2616,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1474]) ).
fof(c_0_2617,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1475]) ).
fof(c_0_2618,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_1476]) ).
fof(c_0_2619,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1477]) ).
fof(c_0_2620,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1478]) ).
fof(c_0_2621,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1479]) ).
fof(c_0_2622,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_OrderedGroup_Opordered__ab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1480]) ).
fof(c_0_2623,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1481]) ).
fof(c_0_2624,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1482]) ).
fof(c_0_2625,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1483]) ).
fof(c_0_2626,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1484]) ).
fof(c_0_2627,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1485]) ).
fof(c_0_2628,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1486]) ).
fof(c_0_2629,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1487]) ).
fof(c_0_2630,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_OrderedGroup_Olordered__ab__group(X6) ),
inference(variable_rename,[status(thm)],[c_0_1488]) ).
fof(c_0_2631,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1489]) ).
fof(c_0_2632,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1490]) ).
fof(c_0_2633,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1491]) ).
fof(c_0_2634,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1492]) ).
fof(c_0_2635,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1493]) ).
fof(c_0_2636,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_1494]) ).
fof(c_0_2637,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1495]) ).
fof(c_0_2638,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1496]) ).
fof(c_0_2639,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1497]) ).
fof(c_0_2640,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1498]) ).
fof(c_0_2641,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_OrderedGroup_Opordered__ab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1499]) ).
fof(c_0_2642,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1500]) ).
fof(c_0_2643,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1501]) ).
fof(c_0_2644,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1502]) ).
fof(c_0_2645,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1503]) ).
fof(c_0_2646,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1504]) ).
fof(c_0_2647,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1505]) ).
fof(c_0_2648,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1506]) ).
fof(c_0_2649,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_OrderedGroup_Olordered__ab__group(X6) ),
inference(variable_rename,[status(thm)],[c_0_1507]) ).
fof(c_0_2650,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1508]) ).
fof(c_0_2651,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1509]) ).
fof(c_0_2652,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1510]) ).
fof(c_0_2653,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1511]) ).
fof(c_0_2654,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1512]) ).
fof(c_0_2655,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_1513]) ).
fof(c_0_2656,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1514]) ).
fof(c_0_2657,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1515]) ).
fof(c_0_2658,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1516]) ).
fof(c_0_2659,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1517]) ).
fof(c_0_2660,plain,
! [X6] :
( ~ class_OrderedGroup_Omonoid__mult(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1518]) ).
fof(c_0_2661,plain,
! [X6] :
( ~ class_OrderedGroup_Omonoid__mult(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1519]) ).
fof(c_0_2662,plain,
! [X6] :
( ~ class_OrderedGroup_Omonoid__mult(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1520]) ).
fof(c_0_2663,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1521]) ).
fof(c_0_2664,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1522]) ).
fof(c_0_2665,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1523]) ).
fof(c_0_2666,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1524]) ).
fof(c_0_2667,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1525]) ).
fof(c_0_2668,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_1526]) ).
fof(c_0_2669,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1527]) ).
fof(c_0_2670,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1528]) ).
fof(c_0_2671,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1529]) ).
fof(c_0_2672,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1530]) ).
fof(c_0_2673,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1531]) ).
fof(c_0_2674,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1532]) ).
fof(c_0_2675,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1533]) ).
fof(c_0_2676,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6)
| class_Orderings_Olinorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1534]) ).
fof(c_0_2677,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1535]) ).
fof(c_0_2678,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1536]) ).
fof(c_0_2679,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1537]) ).
fof(c_0_2680,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1538]) ).
fof(c_0_2681,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_1539]) ).
fof(c_0_2682,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1540]) ).
fof(c_0_2683,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1541]) ).
fof(c_0_2684,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1542]) ).
fof(c_0_2685,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1543]) ).
fof(c_0_2686,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1544]) ).
fof(c_0_2687,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1545]) ).
fof(c_0_2688,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1546]) ).
fof(c_0_2689,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1547]) ).
fof(c_0_2690,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1548]) ).
fof(c_0_2691,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1549]) ).
fof(c_0_2692,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1550]) ).
fof(c_0_2693,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1551]) ).
fof(c_0_2694,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1552]) ).
fof(c_0_2695,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1553]) ).
fof(c_0_2696,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1554]) ).
fof(c_0_2697,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1555]) ).
fof(c_0_2698,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1556]) ).
fof(c_0_2699,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1557]) ).
fof(c_0_2700,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1558]) ).
fof(c_0_2701,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1559]) ).
fof(c_0_2702,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1560]) ).
fof(c_0_2703,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1561]) ).
fof(c_0_2704,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1562]) ).
fof(c_0_2705,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1563]) ).
fof(c_0_2706,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1564]) ).
fof(c_0_2707,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1565]) ).
fof(c_0_2708,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1566]) ).
fof(c_0_2709,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1567]) ).
fof(c_0_2710,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1568]) ).
fof(c_0_2711,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1569]) ).
fof(c_0_2712,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1570]) ).
fof(c_0_2713,plain,
! [X6] :
( ~ class_OrderedGroup_Osemigroup__add(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1571]) ).
fof(c_0_2714,plain,
! [X6] :
( ~ class_OrderedGroup_Osemigroup__mult(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1572]) ).
fof(c_0_2715,plain,
! [X6] :
( ~ class_Orderings_Olinorder(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1573]) ).
fof(c_0_2716,plain,
! [X6] :
( ~ class_Orderings_Olinorder(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1574]) ).
fof(c_0_2717,plain,
! [X6] :
( ~ class_Orderings_Olinorder(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1575]) ).
fof(c_0_2718,plain,
! [X6] :
( ~ class_Orderings_Olinorder(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1576]) ).
fof(c_0_2719,plain,
! [X6] :
( ~ class_Orderings_Olinorder(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1577]) ).
fof(c_0_2720,plain,
! [X6] :
( ~ class_Orderings_Oorder(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1578]) ).
fof(c_0_2721,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Nat_Opower(X6) ),
inference(variable_rename,[status(thm)],[c_0_1579]) ).
fof(c_0_2722,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1580]) ).
fof(c_0_2723,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1581]) ).
fof(c_0_2724,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1582]) ).
fof(c_0_2725,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1583]) ).
fof(c_0_2726,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1584]) ).
fof(c_0_2727,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1585]) ).
fof(c_0_2728,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1586]) ).
fof(c_0_2729,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_OrderedGroup_Ocomm__monoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1587]) ).
fof(c_0_2730,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1588]) ).
fof(c_0_2731,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Ring__and__Field_Ocomm__semiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1589]) ).
fof(c_0_2732,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1590]) ).
fof(c_0_2733,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1591]) ).
fof(c_0_2734,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1592]) ).
fof(c_0_2735,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1593]) ).
fof(c_0_2736,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Ring__and__Field_Osemiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1594]) ).
fof(c_0_2737,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1595]) ).
fof(c_0_2738,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1596]) ).
fof(c_0_2739,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1597]) ).
fof(c_0_2740,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1598]) ).
fof(c_0_2741,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1599]) ).
fof(c_0_2742,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1600]) ).
fof(c_0_2743,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1601]) ).
fof(c_0_2744,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1602]) ).
fof(c_0_2745,plain,
! [X6] :
( ~ class_Power_Orecpower(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1603]) ).
fof(c_0_2746,plain,
! [X6] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1604]) ).
fof(c_0_2747,plain,
! [X6] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1605]) ).
fof(c_0_2748,plain,
! [X6] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1606]) ).
fof(c_0_2749,plain,
! [X6] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1607]) ).
fof(c_0_2750,plain,
! [X6] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1608]) ).
fof(c_0_2751,plain,
! [X6] :
( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1609]) ).
fof(c_0_2752,plain,
! [X6] :
( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1610]) ).
fof(c_0_2753,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1611]) ).
fof(c_0_2754,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1612]) ).
fof(c_0_2755,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1613]) ).
fof(c_0_2756,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1614]) ).
fof(c_0_2757,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1615]) ).
fof(c_0_2758,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1616]) ).
fof(c_0_2759,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1617]) ).
fof(c_0_2760,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1618]) ).
fof(c_0_2761,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1619]) ).
fof(c_0_2762,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1620]) ).
fof(c_0_2763,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1621]) ).
fof(c_0_2764,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1622]) ).
fof(c_0_2765,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1623]) ).
fof(c_0_2766,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1624]) ).
fof(c_0_2767,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1625]) ).
fof(c_0_2768,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1626]) ).
fof(c_0_2769,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1627]) ).
fof(c_0_2770,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1628]) ).
fof(c_0_2771,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1629]) ).
fof(c_0_2772,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Ocomm__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1630]) ).
fof(c_0_2773,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1631]) ).
fof(c_0_2774,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1632]) ).
fof(c_0_2775,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1633]) ).
fof(c_0_2776,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1634]) ).
fof(c_0_2777,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1635]) ).
fof(c_0_2778,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1636]) ).
fof(c_0_2779,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1637]) ).
fof(c_0_2780,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1638]) ).
fof(c_0_2781,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1639]) ).
fof(c_0_2782,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1640]) ).
fof(c_0_2783,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1641]) ).
fof(c_0_2784,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1642]) ).
fof(c_0_2785,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Ocomm__semiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1643]) ).
fof(c_0_2786,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_OrderedGroup_Ocomm__monoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1644]) ).
fof(c_0_2787,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1645]) ).
fof(c_0_2788,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1646]) ).
fof(c_0_2789,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1647]) ).
fof(c_0_2790,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1648]) ).
fof(c_0_2791,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Oring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1649]) ).
fof(c_0_2792,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Osemiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1650]) ).
fof(c_0_2793,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1651]) ).
fof(c_0_2794,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1652]) ).
fof(c_0_2795,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1653]) ).
fof(c_0_2796,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1654]) ).
fof(c_0_2797,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1655]) ).
fof(c_0_2798,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1656]) ).
fof(c_0_2799,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1657]) ).
fof(c_0_2800,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1658]) ).
fof(c_0_2801,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1659]) ).
fof(c_0_2802,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1660]) ).
fof(c_0_2803,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1661]) ).
fof(c_0_2804,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1662]) ).
fof(c_0_2805,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1663]) ).
fof(c_0_2806,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1664]) ).
fof(c_0_2807,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1665]) ).
fof(c_0_2808,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1666]) ).
fof(c_0_2809,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1667]) ).
fof(c_0_2810,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1668]) ).
fof(c_0_2811,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1669]) ).
fof(c_0_2812,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1670]) ).
fof(c_0_2813,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1671]) ).
fof(c_0_2814,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1672]) ).
fof(c_0_2815,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1673]) ).
fof(c_0_2816,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1674]) ).
fof(c_0_2817,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1675]) ).
fof(c_0_2818,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1676]) ).
fof(c_0_2819,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1677]) ).
fof(c_0_2820,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1678]) ).
fof(c_0_2821,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1679]) ).
fof(c_0_2822,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1680]) ).
fof(c_0_2823,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1681]) ).
fof(c_0_2824,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1682]) ).
fof(c_0_2825,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1683]) ).
fof(c_0_2826,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1684]) ).
fof(c_0_2827,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1685]) ).
fof(c_0_2828,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1686]) ).
fof(c_0_2829,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1687]) ).
fof(c_0_2830,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1688]) ).
fof(c_0_2831,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1689]) ).
fof(c_0_2832,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1690]) ).
fof(c_0_2833,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1691]) ).
fof(c_0_2834,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1692]) ).
fof(c_0_2835,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1693]) ).
fof(c_0_2836,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1694]) ).
fof(c_0_2837,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1695]) ).
fof(c_0_2838,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1696]) ).
fof(c_0_2839,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1697]) ).
fof(c_0_2840,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_OrderedGroup_Ocomm__monoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1698]) ).
fof(c_0_2841,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1699]) ).
fof(c_0_2842,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1700]) ).
fof(c_0_2843,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1701]) ).
fof(c_0_2844,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1702]) ).
fof(c_0_2845,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1703]) ).
fof(c_0_2846,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1704]) ).
fof(c_0_2847,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1705]) ).
fof(c_0_2848,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1706]) ).
fof(c_0_2849,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1707]) ).
fof(c_0_2850,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1708]) ).
fof(c_0_2851,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_Ring__and__Field_Ocomm__semiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1709]) ).
fof(c_0_2852,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1710]) ).
fof(c_0_2853,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1711]) ).
fof(c_0_2854,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1712]) ).
fof(c_0_2855,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1713]) ).
fof(c_0_2856,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1714]) ).
fof(c_0_2857,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1715]) ).
fof(c_0_2858,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1716]) ).
fof(c_0_2859,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1717]) ).
fof(c_0_2860,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1718]) ).
fof(c_0_2861,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1719]) ).
fof(c_0_2862,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1720]) ).
fof(c_0_2863,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1721]) ).
fof(c_0_2864,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_Ring__and__Field_Osemiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1722]) ).
fof(c_0_2865,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1723]) ).
fof(c_0_2866,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1724]) ).
fof(c_0_2867,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_OrderedGroup_Ocomm__monoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1725]) ).
fof(c_0_2868,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1726]) ).
fof(c_0_2869,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1727]) ).
fof(c_0_2870,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1728]) ).
fof(c_0_2871,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1729]) ).
fof(c_0_2872,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1730]) ).
fof(c_0_2873,plain,
! [X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1731]) ).
fof(c_0_2874,plain,
! [X6] :
( ~ class_Ring__and__Field_Odivision__by__zero(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1732]) ).
fof(c_0_2875,plain,
! [X6] :
( ~ class_Ring__and__Field_Odivision__by__zero(X6)
| class_HOL_Oinverse(X6) ),
inference(variable_rename,[status(thm)],[c_0_1733]) ).
fof(c_0_2876,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Ocomm__ring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1734]) ).
fof(c_0_2877,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Ocomm__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1735]) ).
fof(c_0_2878,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1736]) ).
fof(c_0_2879,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1737]) ).
fof(c_0_2880,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1738]) ).
fof(c_0_2881,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1739]) ).
fof(c_0_2882,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1740]) ).
fof(c_0_2883,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1741]) ).
fof(c_0_2884,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1742]) ).
fof(c_0_2885,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1743]) ).
fof(c_0_2886,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1744]) ).
fof(c_0_2887,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1745]) ).
fof(c_0_2888,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Oring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1746]) ).
fof(c_0_2889,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1747]) ).
fof(c_0_2890,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1748]) ).
fof(c_0_2891,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1749]) ).
fof(c_0_2892,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1750]) ).
fof(c_0_2893,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1751]) ).
fof(c_0_2894,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1752]) ).
fof(c_0_2895,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1753]) ).
fof(c_0_2896,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1754]) ).
fof(c_0_2897,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1755]) ).
fof(c_0_2898,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1756]) ).
fof(c_0_2899,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1757]) ).
fof(c_0_2900,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_HOL_Oinverse(X6) ),
inference(variable_rename,[status(thm)],[c_0_1758]) ).
fof(c_0_2901,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Oidom(X6) ),
inference(variable_rename,[status(thm)],[c_0_1759]) ).
fof(c_0_2902,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X6) ),
inference(variable_rename,[status(thm)],[c_0_1760]) ).
fof(c_0_2903,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1761]) ).
fof(c_0_2904,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1762]) ).
fof(c_0_2905,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1763]) ).
fof(c_0_2906,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Ocomm__semiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1764]) ).
fof(c_0_2907,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_OrderedGroup_Ocomm__monoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1765]) ).
fof(c_0_2908,plain,
! [X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| class_Ring__and__Field_Osemiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1766]) ).
fof(c_0_2909,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Ocomm__ring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1767]) ).
fof(c_0_2910,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Ocomm__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1768]) ).
fof(c_0_2911,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1769]) ).
fof(c_0_2912,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1770]) ).
fof(c_0_2913,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1771]) ).
fof(c_0_2914,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1772]) ).
fof(c_0_2915,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1773]) ).
fof(c_0_2916,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1774]) ).
fof(c_0_2917,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1775]) ).
fof(c_0_2918,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1776]) ).
fof(c_0_2919,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1777]) ).
fof(c_0_2920,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1778]) ).
fof(c_0_2921,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Oring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1779]) ).
fof(c_0_2922,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1780]) ).
fof(c_0_2923,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1781]) ).
fof(c_0_2924,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1782]) ).
fof(c_0_2925,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1783]) ).
fof(c_0_2926,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1784]) ).
fof(c_0_2927,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1785]) ).
fof(c_0_2928,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1786]) ).
fof(c_0_2929,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1787]) ).
fof(c_0_2930,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1788]) ).
fof(c_0_2931,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1789]) ).
fof(c_0_2932,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1790]) ).
fof(c_0_2933,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X6) ),
inference(variable_rename,[status(thm)],[c_0_1791]) ).
fof(c_0_2934,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1792]) ).
fof(c_0_2935,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1793]) ).
fof(c_0_2936,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1794]) ).
fof(c_0_2937,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Ocomm__semiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1795]) ).
fof(c_0_2938,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_OrderedGroup_Ocomm__monoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1796]) ).
fof(c_0_2939,plain,
! [X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| class_Ring__and__Field_Osemiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1797]) ).
fof(c_0_2940,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_Ring__and__Field_Opordered__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1798]) ).
fof(c_0_2941,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1799]) ).
fof(c_0_2942,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1800]) ).
fof(c_0_2943,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1801]) ).
fof(c_0_2944,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1802]) ).
fof(c_0_2945,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1803]) ).
fof(c_0_2946,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1804]) ).
fof(c_0_2947,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1805]) ).
fof(c_0_2948,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1806]) ).
fof(c_0_2949,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1807]) ).
fof(c_0_2950,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1808]) ).
fof(c_0_2951,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1809]) ).
fof(c_0_2952,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Opordered__ab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1810]) ).
fof(c_0_2953,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1811]) ).
fof(c_0_2954,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1812]) ).
fof(c_0_2955,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1813]) ).
fof(c_0_2956,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1814]) ).
fof(c_0_2957,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Olordered__ab__group__abs(X6) ),
inference(variable_rename,[status(thm)],[c_0_1815]) ).
fof(c_0_2958,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Olordered__ab__group(X6) ),
inference(variable_rename,[status(thm)],[c_0_1816]) ).
fof(c_0_2959,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1817]) ).
fof(c_0_2960,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1818]) ).
fof(c_0_2961,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1819]) ).
fof(c_0_2962,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Olordered__ab__group__meet(X6) ),
inference(variable_rename,[status(thm)],[c_0_1820]) ).
fof(c_0_2963,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1821]) ).
fof(c_0_2964,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Olordered__ab__group__join(X6) ),
inference(variable_rename,[status(thm)],[c_0_1822]) ).
fof(c_0_2965,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1823]) ).
fof(c_0_2966,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_1824]) ).
fof(c_0_2967,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1825]) ).
fof(c_0_2968,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_Ring__and__Field_Opordered__cancel__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1826]) ).
fof(c_0_2969,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1827]) ).
fof(c_0_2970,plain,
! [X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1828]) ).
fof(c_0_2971,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1829]) ).
fof(c_0_2972,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1830]) ).
fof(c_0_2973,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1831]) ).
fof(c_0_2974,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1832]) ).
fof(c_0_2975,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1833]) ).
fof(c_0_2976,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Orderings_Olinorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1834]) ).
fof(c_0_2977,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1835]) ).
fof(c_0_2978,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1836]) ).
fof(c_0_2979,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1837]) ).
fof(c_0_2980,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_1838]) ).
fof(c_0_2981,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1839]) ).
fof(c_0_2982,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1840]) ).
fof(c_0_2983,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1841]) ).
fof(c_0_2984,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1842]) ).
fof(c_0_2985,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1843]) ).
fof(c_0_2986,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1844]) ).
fof(c_0_2987,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1845]) ).
fof(c_0_2988,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Ring__and__Field_Oordered__semiring__strict(X6) ),
inference(variable_rename,[status(thm)],[c_0_1846]) ).
fof(c_0_2989,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Ring__and__Field_Opordered__cancel__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1847]) ).
fof(c_0_2990,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1848]) ).
fof(c_0_2991,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1849]) ).
fof(c_0_2992,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1850]) ).
fof(c_0_2993,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Ring__and__Field_Opordered__comm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1851]) ).
fof(c_0_2994,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1852]) ).
fof(c_0_2995,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1853]) ).
fof(c_0_2996,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1854]) ).
fof(c_0_2997,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1855]) ).
fof(c_0_2998,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1856]) ).
fof(c_0_2999,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1857]) ).
fof(c_0_3000,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1858]) ).
fof(c_0_3001,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Ofield(X6) ),
inference(variable_rename,[status(thm)],[c_0_1859]) ).
fof(c_0_3002,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_HOL_Oinverse(X6) ),
inference(variable_rename,[status(thm)],[c_0_1860]) ).
fof(c_0_3003,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Ocomm__semiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1861]) ).
fof(c_0_3004,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Ocomm__monoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1862]) ).
fof(c_0_3005,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Osemiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1863]) ).
fof(c_0_3006,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1864]) ).
fof(c_0_3007,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1865]) ).
fof(c_0_3008,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1866]) ).
fof(c_0_3009,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1867]) ).
fof(c_0_3010,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1868]) ).
fof(c_0_3011,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1869]) ).
fof(c_0_3012,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1870]) ).
fof(c_0_3013,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Oidom(X6) ),
inference(variable_rename,[status(thm)],[c_0_1871]) ).
fof(c_0_3014,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1872]) ).
fof(c_0_3015,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1873]) ).
fof(c_0_3016,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1874]) ).
fof(c_0_3017,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1875]) ).
fof(c_0_3018,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1876]) ).
fof(c_0_3019,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1877]) ).
fof(c_0_3020,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1878]) ).
fof(c_0_3021,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1879]) ).
fof(c_0_3022,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1880]) ).
fof(c_0_3023,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1881]) ).
fof(c_0_3024,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Ocomm__ring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1882]) ).
fof(c_0_3025,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1883]) ).
fof(c_0_3026,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X6) ),
inference(variable_rename,[status(thm)],[c_0_1884]) ).
fof(c_0_3027,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1885]) ).
fof(c_0_3028,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1886]) ).
fof(c_0_3029,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Oordered__idom(X6) ),
inference(variable_rename,[status(thm)],[c_0_1887]) ).
fof(c_0_3030,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X6) ),
inference(variable_rename,[status(thm)],[c_0_1888]) ).
fof(c_0_3031,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1889]) ).
fof(c_0_3032,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Opordered__comm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1890]) ).
fof(c_0_3033,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Oordered__ring__strict(X6) ),
inference(variable_rename,[status(thm)],[c_0_1891]) ).
fof(c_0_3034,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Oordered__semiring__strict(X6) ),
inference(variable_rename,[status(thm)],[c_0_1892]) ).
fof(c_0_3035,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Ocomm__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1893]) ).
fof(c_0_3036,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1894]) ).
fof(c_0_3037,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Orderings_Olinorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1895]) ).
fof(c_0_3038,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Oaxclass__abs__if(X6) ),
inference(variable_rename,[status(thm)],[c_0_1896]) ).
fof(c_0_3039,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Olordered__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1897]) ).
fof(c_0_3040,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Opordered__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1898]) ).
fof(c_0_3041,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Opordered__cancel__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1899]) ).
fof(c_0_3042,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1900]) ).
fof(c_0_3043,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Olordered__ab__group__abs(X6) ),
inference(variable_rename,[status(thm)],[c_0_1901]) ).
fof(c_0_3044,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Olordered__ab__group__meet(X6) ),
inference(variable_rename,[status(thm)],[c_0_1902]) ).
fof(c_0_3045,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Olordered__ab__group__join(X6) ),
inference(variable_rename,[status(thm)],[c_0_1903]) ).
fof(c_0_3046,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Oring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1904]) ).
fof(c_0_3047,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Olordered__ab__group(X6) ),
inference(variable_rename,[status(thm)],[c_0_1905]) ).
fof(c_0_3048,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1906]) ).
fof(c_0_3049,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1907]) ).
fof(c_0_3050,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1908]) ).
fof(c_0_3051,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Opordered__ab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1909]) ).
fof(c_0_3052,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_1910]) ).
fof(c_0_3053,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1911]) ).
fof(c_0_3054,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1912]) ).
fof(c_0_3055,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1913]) ).
fof(c_0_3056,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1914]) ).
fof(c_0_3057,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1915]) ).
fof(c_0_3058,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Oordered__semidom(X6) ),
inference(variable_rename,[status(thm)],[c_0_1916]) ).
fof(c_0_3059,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1917]) ).
fof(c_0_3060,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1918]) ).
fof(c_0_3061,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1919]) ).
fof(c_0_3062,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Ocomm__ring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1920]) ).
fof(c_0_3063,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Ocomm__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1921]) ).
fof(c_0_3064,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1922]) ).
fof(c_0_3065,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1923]) ).
fof(c_0_3066,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1924]) ).
fof(c_0_3067,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_1925]) ).
fof(c_0_3068,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1926]) ).
fof(c_0_3069,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1927]) ).
fof(c_0_3070,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1928]) ).
fof(c_0_3071,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1929]) ).
fof(c_0_3072,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1930]) ).
fof(c_0_3073,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_1931]) ).
fof(c_0_3074,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Oring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1932]) ).
fof(c_0_3075,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1933]) ).
fof(c_0_3076,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1934]) ).
fof(c_0_3077,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_1935]) ).
fof(c_0_3078,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1936]) ).
fof(c_0_3079,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1937]) ).
fof(c_0_3080,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1938]) ).
fof(c_0_3081,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1939]) ).
fof(c_0_3082,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1940]) ).
fof(c_0_3083,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1941]) ).
fof(c_0_3084,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1942]) ).
fof(c_0_3085,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1943]) ).
fof(c_0_3086,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X6) ),
inference(variable_rename,[status(thm)],[c_0_1944]) ).
fof(c_0_3087,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Oordered__semiring__strict(X6) ),
inference(variable_rename,[status(thm)],[c_0_1945]) ).
fof(c_0_3088,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1946]) ).
fof(c_0_3089,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Orderings_Olinorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1947]) ).
fof(c_0_3090,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1948]) ).
fof(c_0_3091,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1949]) ).
fof(c_0_3092,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1950]) ).
fof(c_0_3093,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_1951]) ).
fof(c_0_3094,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1952]) ).
fof(c_0_3095,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1953]) ).
fof(c_0_3096,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1954]) ).
fof(c_0_3097,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Opordered__cancel__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1955]) ).
fof(c_0_3098,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Opordered__comm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1956]) ).
fof(c_0_3099,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1957]) ).
fof(c_0_3100,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1958]) ).
fof(c_0_3101,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1959]) ).
fof(c_0_3102,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1960]) ).
fof(c_0_3103,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Oaxclass__abs__if(X6) ),
inference(variable_rename,[status(thm)],[c_0_1961]) ).
fof(c_0_3104,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Oordered__ring__strict(X6) ),
inference(variable_rename,[status(thm)],[c_0_1962]) ).
fof(c_0_3105,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Olordered__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1963]) ).
fof(c_0_3106,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Opordered__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1964]) ).
fof(c_0_3107,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1965]) ).
fof(c_0_3108,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Olordered__ab__group__abs(X6) ),
inference(variable_rename,[status(thm)],[c_0_1966]) ).
fof(c_0_3109,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Olordered__ab__group__meet(X6) ),
inference(variable_rename,[status(thm)],[c_0_1967]) ).
fof(c_0_3110,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Olordered__ab__group__join(X6) ),
inference(variable_rename,[status(thm)],[c_0_1968]) ).
fof(c_0_3111,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Olordered__ab__group(X6) ),
inference(variable_rename,[status(thm)],[c_0_1969]) ).
fof(c_0_3112,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Opordered__ab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1970]) ).
fof(c_0_3113,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Oordered__semidom(X6) ),
inference(variable_rename,[status(thm)],[c_0_1971]) ).
fof(c_0_3114,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X6) ),
inference(variable_rename,[status(thm)],[c_0_1972]) ).
fof(c_0_3115,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Oidom(X6) ),
inference(variable_rename,[status(thm)],[c_0_1973]) ).
fof(c_0_3116,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1974]) ).
fof(c_0_3117,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Ocomm__semiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_1975]) ).
fof(c_0_3118,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Ocomm__monoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_1976]) ).
fof(c_0_3119,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Ring__and__Field_Osemiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_1977]) ).
fof(c_0_3120,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1978]) ).
fof(c_0_3121,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1979]) ).
fof(c_0_3122,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1980]) ).
fof(c_0_3123,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1981]) ).
fof(c_0_3124,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1982]) ).
fof(c_0_3125,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1983]) ).
fof(c_0_3126,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1984]) ).
fof(c_0_3127,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Ring__and__Field_Oordered__semiring__strict(X6) ),
inference(variable_rename,[status(thm)],[c_0_1985]) ).
fof(c_0_3128,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1986]) ).
fof(c_0_3129,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Orderings_Olinorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1987]) ).
fof(c_0_3130,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1988]) ).
fof(c_0_3131,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1989]) ).
fof(c_0_3132,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_1990]) ).
fof(c_0_3133,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1991]) ).
fof(c_0_3134,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_1992]) ).
fof(c_0_3135,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1993]) ).
fof(c_0_3136,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Ring__and__Field_Opordered__cancel__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1994]) ).
fof(c_0_3137,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_1995]) ).
fof(c_0_3138,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_1996]) ).
fof(c_0_3139,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_1997]) ).
fof(c_0_3140,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_1998]) ).
fof(c_0_3141,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Ring__and__Field_Oaxclass__abs__if(X6) ),
inference(variable_rename,[status(thm)],[c_0_1999]) ).
fof(c_0_3142,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Olordered__ab__group(X6) ),
inference(variable_rename,[status(thm)],[c_0_2000]) ).
fof(c_0_3143,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2001]) ).
fof(c_0_3144,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Opordered__ab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2002]) ).
fof(c_0_3145,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Ring__and__Field_Olordered__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2003]) ).
fof(c_0_3146,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Ring__and__Field_Opordered__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2004]) ).
fof(c_0_3147,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Olordered__ab__group__abs(X6) ),
inference(variable_rename,[status(thm)],[c_0_2005]) ).
fof(c_0_3148,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Olordered__ab__group__meet(X6) ),
inference(variable_rename,[status(thm)],[c_0_2006]) ).
fof(c_0_3149,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Olordered__ab__group__join(X6) ),
inference(variable_rename,[status(thm)],[c_0_2007]) ).
fof(c_0_3150,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X6) ),
inference(variable_rename,[status(thm)],[c_0_2008]) ).
fof(c_0_3151,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2009]) ).
fof(c_0_3152,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2010]) ).
fof(c_0_3153,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2011]) ).
fof(c_0_3154,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2012]) ).
fof(c_0_3155,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2013]) ).
fof(c_0_3156,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2014]) ).
fof(c_0_3157,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2015]) ).
fof(c_0_3158,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Ocomm__semiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_2016]) ).
fof(c_0_3159,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2017]) ).
fof(c_0_3160,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2018]) ).
fof(c_0_3161,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2019]) ).
fof(c_0_3162,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2020]) ).
fof(c_0_3163,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2021]) ).
fof(c_0_3164,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2022]) ).
fof(c_0_3165,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2023]) ).
fof(c_0_3166,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2024]) ).
fof(c_0_3167,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2025]) ).
fof(c_0_3168,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2026]) ).
fof(c_0_3169,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Ocomm__monoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2027]) ).
fof(c_0_3170,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2028]) ).
fof(c_0_3171,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2029]) ).
fof(c_0_3172,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2030]) ).
fof(c_0_3173,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2031]) ).
fof(c_0_3174,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X6) ),
inference(variable_rename,[status(thm)],[c_0_2032]) ).
fof(c_0_3175,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Oordered__semiring__strict(X6) ),
inference(variable_rename,[status(thm)],[c_0_2033]) ).
fof(c_0_3176,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2034]) ).
fof(c_0_3177,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Orderings_Olinorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2035]) ).
fof(c_0_3178,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2036]) ).
fof(c_0_3179,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2037]) ).
fof(c_0_3180,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Osemiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2038]) ).
fof(c_0_3181,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2039]) ).
fof(c_0_3182,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_2040]) ).
fof(c_0_3183,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2041]) ).
fof(c_0_3184,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2042]) ).
fof(c_0_3185,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Opordered__cancel__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2043]) ).
fof(c_0_3186,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Opordered__comm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2044]) ).
fof(c_0_3187,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2045]) ).
fof(c_0_3188,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2046]) ).
fof(c_0_3189,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2047]) ).
fof(c_0_3190,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_2048]) ).
fof(c_0_3191,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_2049]) ).
fof(c_0_3192,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_2050]) ).
fof(c_0_3193,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2051]) ).
fof(c_0_3194,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_2052]) ).
fof(c_0_3195,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2053]) ).
fof(c_0_3196,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2054]) ).
fof(c_0_3197,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2055]) ).
fof(c_0_3198,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2056]) ).
fof(c_0_3199,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_Orderings_Olinorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2057]) ).
fof(c_0_3200,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2058]) ).
fof(c_0_3201,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2059]) ).
fof(c_0_3202,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2060]) ).
fof(c_0_3203,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_2061]) ).
fof(c_0_3204,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2062]) ).
fof(c_0_3205,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2063]) ).
fof(c_0_3206,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2064]) ).
fof(c_0_3207,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_2065]) ).
fof(c_0_3208,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2066]) ).
fof(c_0_3209,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2067]) ).
fof(c_0_3210,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2068]) ).
fof(c_0_3211,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2069]) ).
fof(c_0_3212,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_Ring__and__Field_Opordered__cancel__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2070]) ).
fof(c_0_3213,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2071]) ).
fof(c_0_3214,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2072]) ).
fof(c_0_3215,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2073]) ).
fof(c_0_3216,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2074]) ).
fof(c_0_3217,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2075]) ).
fof(c_0_3218,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2076]) ).
fof(c_0_3219,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2077]) ).
fof(c_0_3220,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2078]) ).
fof(c_0_3221,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_Ring__and__Field_Opordered__comm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2079]) ).
fof(c_0_3222,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2080]) ).
fof(c_0_3223,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2081]) ).
fof(c_0_3224,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2082]) ).
fof(c_0_3225,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2083]) ).
fof(c_0_3226,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2084]) ).
fof(c_0_3227,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2085]) ).
fof(c_0_3228,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_2086]) ).
fof(c_0_3229,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2087]) ).
fof(c_0_3230,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2088]) ).
fof(c_0_3231,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2089]) ).
fof(c_0_3232,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_Ring__and__Field_Opordered__cancel__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2090]) ).
fof(c_0_3233,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2091]) ).
fof(c_0_3234,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2092]) ).
fof(c_0_3235,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2093]) ).
fof(c_0_3236,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2094]) ).
fof(c_0_3237,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2095]) ).
fof(c_0_3238,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2096]) ).
fof(c_0_3239,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2097]) ).
fof(c_0_3240,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2098]) ).
fof(c_0_3241,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2099]) ).
fof(c_0_3242,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2100]) ).
fof(c_0_3243,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2101]) ).
fof(c_0_3244,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2102]) ).
fof(c_0_3245,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2103]) ).
fof(c_0_3246,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_2104]) ).
fof(c_0_3247,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2105]) ).
fof(c_0_3248,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2106]) ).
fof(c_0_3249,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2107]) ).
fof(c_0_3250,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2108]) ).
fof(c_0_3251,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2109]) ).
fof(c_0_3252,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2110]) ).
fof(c_0_3253,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2111]) ).
fof(c_0_3254,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2112]) ).
fof(c_0_3255,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2113]) ).
fof(c_0_3256,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2114]) ).
fof(c_0_3257,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2115]) ).
fof(c_0_3258,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Ring__and__Field_Ocomm__ring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2116]) ).
fof(c_0_3259,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2117]) ).
fof(c_0_3260,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2118]) ).
fof(c_0_3261,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2119]) ).
fof(c_0_3262,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2120]) ).
fof(c_0_3263,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2121]) ).
fof(c_0_3264,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2122]) ).
fof(c_0_3265,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2123]) ).
fof(c_0_3266,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2124]) ).
fof(c_0_3267,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2125]) ).
fof(c_0_3268,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2126]) ).
fof(c_0_3269,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2127]) ).
fof(c_0_3270,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2128]) ).
fof(c_0_3271,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Ring__and__Field_Opordered__comm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2129]) ).
fof(c_0_3272,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2130]) ).
fof(c_0_3273,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2131]) ).
fof(c_0_3274,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2132]) ).
fof(c_0_3275,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_2133]) ).
fof(c_0_3276,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2134]) ).
fof(c_0_3277,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2135]) ).
fof(c_0_3278,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2136]) ).
fof(c_0_3279,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2137]) ).
fof(c_0_3280,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2138]) ).
fof(c_0_3281,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2139]) ).
fof(c_0_3282,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__ring(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2140]) ).
fof(c_0_3283,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_Ring__and__Field_Ocomm__semiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2141]) ).
fof(c_0_3284,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_Ring__and__Field_Ocomm__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2142]) ).
fof(c_0_3285,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2143]) ).
fof(c_0_3286,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2144]) ).
fof(c_0_3287,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2145]) ).
fof(c_0_3288,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2146]) ).
fof(c_0_3289,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_2147]) ).
fof(c_0_3290,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2148]) ).
fof(c_0_3291,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_OrderedGroup_Oab__semigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2149]) ).
fof(c_0_3292,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2150]) ).
fof(c_0_3293,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2151]) ).
fof(c_0_3294,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2152]) ).
fof(c_0_3295,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2153]) ).
fof(c_0_3296,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2154]) ).
fof(c_0_3297,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2155]) ).
fof(c_0_3298,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2156]) ).
fof(c_0_3299,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2157]) ).
fof(c_0_3300,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2158]) ).
fof(c_0_3301,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2159]) ).
fof(c_0_3302,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2160]) ).
fof(c_0_3303,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2161]) ).
fof(c_0_3304,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2162]) ).
fof(c_0_3305,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2163]) ).
fof(c_0_3306,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_Ring__and__Field_Opordered__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2164]) ).
fof(c_0_3307,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2165]) ).
fof(c_0_3308,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2166]) ).
fof(c_0_3309,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_2167]) ).
fof(c_0_3310,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_OrderedGroup_Opordered__ab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2168]) ).
fof(c_0_3311,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2169]) ).
fof(c_0_3312,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6) ),
inference(variable_rename,[status(thm)],[c_0_2170]) ).
fof(c_0_3313,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2171]) ).
fof(c_0_3314,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_Ring__and__Field_Opordered__cancel__semiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2172]) ).
fof(c_0_3315,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2173]) ).
fof(c_0_3316,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2174]) ).
fof(c_0_3317,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2175]) ).
fof(c_0_3318,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2176]) ).
fof(c_0_3319,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2177]) ).
fof(c_0_3320,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2178]) ).
fof(c_0_3321,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2179]) ).
fof(c_0_3322,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2180]) ).
fof(c_0_3323,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2181]) ).
fof(c_0_3324,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2182]) ).
fof(c_0_3325,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_2183]) ).
fof(c_0_3326,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2184]) ).
fof(c_0_3327,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2185]) ).
fof(c_0_3328,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2186]) ).
fof(c_0_3329,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2187]) ).
fof(c_0_3330,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2188]) ).
fof(c_0_3331,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2189]) ).
fof(c_0_3332,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2190]) ).
fof(c_0_3333,plain,
! [X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| class_OrderedGroup_Opordered__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2191]) ).
fof(c_0_3334,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2192]) ).
fof(c_0_3335,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2193]) ).
fof(c_0_3336,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2194]) ).
fof(c_0_3337,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2195]) ).
fof(c_0_3338,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2196]) ).
fof(c_0_3339,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2197]) ).
fof(c_0_3340,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2198]) ).
fof(c_0_3341,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2199]) ).
fof(c_0_3342,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2200]) ).
fof(c_0_3343,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2201]) ).
fof(c_0_3344,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2202]) ).
fof(c_0_3345,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2203]) ).
fof(c_0_3346,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2204]) ).
fof(c_0_3347,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2205]) ).
fof(c_0_3348,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_Ring__and__Field_Oring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2206]) ).
fof(c_0_3349,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2207]) ).
fof(c_0_3350,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2208]) ).
fof(c_0_3351,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2209]) ).
fof(c_0_3352,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2210]) ).
fof(c_0_3353,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2211]) ).
fof(c_0_3354,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2212]) ).
fof(c_0_3355,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_2213]) ).
fof(c_0_3356,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_2214]) ).
fof(c_0_3357,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2215]) ).
fof(c_0_3358,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_2216]) ).
fof(c_0_3359,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_Ring__and__Field_Osemiring__1__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2217]) ).
fof(c_0_3360,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_HOL_Ominus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2218]) ).
fof(c_0_3361,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2219]) ).
fof(c_0_3362,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2220]) ).
fof(c_0_3363,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2221]) ).
fof(c_0_3364,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2222]) ).
fof(c_0_3365,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2223]) ).
fof(c_0_3366,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2224]) ).
fof(c_0_3367,plain,
! [X6] :
( ~ class_Ring__and__Field_Oring__1(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2225]) ).
fof(c_0_3368,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2226]) ).
fof(c_0_3369,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2227]) ).
fof(c_0_3370,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2228]) ).
fof(c_0_3371,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2229]) ).
fof(c_0_3372,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2230]) ).
fof(c_0_3373,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2231]) ).
fof(c_0_3374,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2232]) ).
fof(c_0_3375,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2233]) ).
fof(c_0_3376,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2234]) ).
fof(c_0_3377,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2235]) ).
fof(c_0_3378,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2236]) ).
fof(c_0_3379,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2237]) ).
fof(c_0_3380,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2238]) ).
fof(c_0_3381,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2239]) ).
fof(c_0_3382,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2240]) ).
fof(c_0_3383,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2241]) ).
fof(c_0_3384,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2242]) ).
fof(c_0_3385,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2243]) ).
fof(c_0_3386,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2244]) ).
fof(c_0_3387,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2245]) ).
fof(c_0_3388,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2246]) ).
fof(c_0_3389,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2247]) ).
fof(c_0_3390,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2248]) ).
fof(c_0_3391,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__0__cancel(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2249]) ).
fof(c_0_3392,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_2250]) ).
fof(c_0_3393,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2251]) ).
fof(c_0_3394,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2252]) ).
fof(c_0_3395,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2253]) ).
fof(c_0_3396,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_2254]) ).
fof(c_0_3397,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2255]) ).
fof(c_0_3398,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2256]) ).
fof(c_0_3399,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2257]) ).
fof(c_0_3400,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2258]) ).
fof(c_0_3401,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2259]) ).
fof(c_0_3402,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2260]) ).
fof(c_0_3403,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2261]) ).
fof(c_0_3404,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_Ring__and__Field_Osemiring__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_2262]) ).
fof(c_0_3405,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_Ring__and__Field_Oaxclass__0__neq__1(X6) ),
inference(variable_rename,[status(thm)],[c_0_2263]) ).
fof(c_0_3406,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_HOL_Oone(X6) ),
inference(variable_rename,[status(thm)],[c_0_2264]) ).
fof(c_0_3407,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_OrderedGroup_Osemigroup__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2265]) ).
fof(c_0_3408,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_HOL_Otimes(X6) ),
inference(variable_rename,[status(thm)],[c_0_2266]) ).
fof(c_0_3409,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2267]) ).
fof(c_0_3410,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_OrderedGroup_Ocancel__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2268]) ).
fof(c_0_3411,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_Ring__and__Field_Osemiring__0__cancel(X6) ),
inference(variable_rename,[status(thm)],[c_0_2269]) ).
fof(c_0_3412,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_Ring__and__Field_Osemiring__0(X6) ),
inference(variable_rename,[status(thm)],[c_0_2270]) ).
fof(c_0_3413,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_Ring__and__Field_Osemiring(X6) ),
inference(variable_rename,[status(thm)],[c_0_2271]) ).
fof(c_0_3414,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2272]) ).
fof(c_0_3415,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_HOL_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_2273]) ).
fof(c_0_3416,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_OrderedGroup_Oab__semigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2274]) ).
fof(c_0_3417,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_OrderedGroup_Osemigroup__add(X6) ),
inference(variable_rename,[status(thm)],[c_0_2275]) ).
fof(c_0_3418,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_HOL_Oplus(X6) ),
inference(variable_rename,[status(thm)],[c_0_2276]) ).
fof(c_0_3419,plain,
! [X6] :
( ~ class_Ring__and__Field_Osemiring__1__cancel(X6)
| class_OrderedGroup_Omonoid__mult(X6) ),
inference(variable_rename,[status(thm)],[c_0_2277]) ).
fof(c_0_3420,plain,
! [X6] :
( ~ class_Wellfounded__Recursion_Owellorder(X6)
| class_Orderings_Oord(X6) ),
inference(variable_rename,[status(thm)],[c_0_2278]) ).
fof(c_0_3421,plain,
! [X6] :
( ~ class_Wellfounded__Recursion_Owellorder(X6)
| class_Orderings_Oorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2279]) ).
fof(c_0_3422,plain,
! [X6] :
( ~ class_Wellfounded__Recursion_Owellorder(X6)
| class_LOrder_Omeet__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2280]) ).
fof(c_0_3423,plain,
! [X6] :
( ~ class_Wellfounded__Recursion_Owellorder(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2281]) ).
fof(c_0_3424,plain,
! [X6] :
( ~ class_Wellfounded__Recursion_Owellorder(X6)
| class_LOrder_Olorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2282]) ).
fof(c_0_3425,plain,
! [X6] :
( ~ class_Wellfounded__Recursion_Owellorder(X6)
| class_Orderings_Olinorder(X6) ),
inference(variable_rename,[status(thm)],[c_0_2283]) ).
cnf(c_0_3426,plain,
( c_in(c_Pair(c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__3(X1,X2,X3,X4,X5,X6),X4,X5),X1,tc_prod(X4,X5))
| ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_2284]) ).
cnf(c_0_3427,plain,
( c_in(c_Pair(c_Main_Orel__compE__1(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X6,X4),X2,tc_prod(X6,X4))
| ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_2285]) ).
cnf(c_0_3428,plain,
( X1 = c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X6,X5)
| ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_2286]) ).
cnf(c_0_3429,plain,
( X1 = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__2(X1,X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
inference(split_conjunct,[status(thm)],[c_0_2287]) ).
cnf(c_0_3430,plain,
( c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
inference(split_conjunct,[status(thm)],[c_0_2288]) ).
cnf(c_0_3431,plain,
( c_in(c_Pair(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__3(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
inference(split_conjunct,[status(thm)],[c_0_2289]) ).
cnf(c_0_3432,plain,
( c_in(c_Pair(c_Main_OdsumE__3(X1,X2,X3,X4),c_Main_OdsumE__4(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X2,X3,X4),c_Main_OdsumE__2(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X2,c_Datatype__Universe_Odsum(X5,X1,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_2290]) ).
cnf(c_0_3433,plain,
( X1 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__3(X5,X1,X3,X4),c_Main_OdsumE__4(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_2291]) ).
cnf(c_0_3434,plain,
( X1 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X1,X3,X4),c_Main_OdsumE__2(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_2292]) ).
cnf(c_0_3435,plain,
( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X2,X3,X4,X1,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(split_conjunct,[status(thm)],[c_0_2293]) ).
cnf(c_0_3436,plain,
( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X1,X2,X3,X4,X5),X4,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(split_conjunct,[status(thm)],[c_0_2294]) ).
cnf(c_0_3437,plain,
( c_in(c_Pair(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_OScons(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X7,X8,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_2295]) ).
cnf(c_0_3438,plain,
( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X2,X3,X1,X4,X5),X5,X5),X2,tc_prod(X5,X5))
| ~ c_in(c_Pair(c_List_Olist_OCons(X1,X4,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(split_conjunct,[status(thm)],[c_0_2296]) ).
cnf(c_0_3439,plain,
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X1,X2,X3,X4,X5),X3,X5,X5),X1,tc_prod(X5,X5))
| ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(split_conjunct,[status(thm)],[c_0_2297]) ).
cnf(c_0_3440,plain,
( X1 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| X1 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_2298]) ).
cnf(c_0_3441,plain,
( c_in(c_Pair(c_Main_OImageE__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
| ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
inference(split_conjunct,[status(thm)],[c_0_2299]) ).
cnf(c_0_3442,plain,
( X1 = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons1__2(X2,X1,X3,X4,X5),X5)
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X4,X5),X1,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(split_conjunct,[status(thm)],[c_0_2300]) ).
cnf(c_0_3443,plain,
( X1 = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons2__2(X2,X1,X3,X4,X5),X5)
| ~ c_in(c_Pair(X1,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(split_conjunct,[status(thm)],[c_0_2301]) ).
cnf(c_0_3444,plain,
( X1 = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X2,X3,X1,X4,X5),c_Main_OuprodE__2(X2,X3,X1,X4,X5),X4,X5)
| ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_2302]) ).
cnf(c_0_3445,plain,
( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X7,X4,X3),tc_prod(X3,X4))
| ~ c_in(c_Pair(X1,X8,X3,X7),X6,tc_prod(X3,X7))
| ~ c_in(c_Pair(X8,X2,X7,X4),X5,tc_prod(X7,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2303]) ).
cnf(c_0_3446,plain,
( c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_2304]) ).
cnf(c_0_3447,plain,
( c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_2305]) ).
cnf(c_0_3448,plain,
( c_in(c_Main_OuprodE__2(X1,X2,X3,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_2306]) ).
cnf(c_0_3449,plain,
( c_in(c_Main_OuprodE__1(X1,X2,X3,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_2307]) ).
cnf(c_0_3450,plain,
( c_in(c_Main_OImageE__1(X1,X2,X3,X4,X5),X1,X4)
| ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
inference(split_conjunct,[status(thm)],[c_0_2308]) ).
cnf(c_0_3451,plain,
( c_in(c_Pair(c_Main_OconverseE__1(X1,X2,X3,X4),c_Main_OconverseE__2(X1,X2,X3,X4),X3,X4),X1,tc_prod(X3,X4))
| ~ c_in(X2,c_Relation_Oconverse(X1,X3,X4),tc_prod(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2309]) ).
cnf(c_0_3452,plain,
( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2310]) ).
cnf(c_0_3453,plain,
( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2311]) ).
cnf(c_0_3454,plain,
( c_in(c_Main_OusumE__2(X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__1(X5,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X2,c_Datatype__Universe_Ousum(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_2312]) ).
cnf(c_0_3455,plain,
( X1 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X3,X4),X3,X4)
| c_in(c_Main_OusumE__2(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_2313]) ).
cnf(c_0_3456,plain,
( X1 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4)
| c_in(c_Main_OusumE__1(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_2314]) ).
cnf(c_0_3457,plain,
( X1 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4)
| X1 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X5,X1,X3,X4),X3,X4)
| ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_2315]) ).
cnf(c_0_3458,plain,
( X1 = c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4)
| X1 = c_Sum__Type_OInl(c_Main_OPlusE__1(X5,X1,X4,X3),X4,X3)
| ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2316]) ).
cnf(c_0_3459,plain,
( X1 = c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4)
| c_in(c_Main_OPlusE__2(X5,X1,X4,X3),X5,X4)
| ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2317]) ).
cnf(c_0_3460,plain,
( X1 = c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4)
| c_in(c_Main_OPlusE__1(X5,X1,X4,X3),X5,X4)
| ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2318]) ).
cnf(c_0_3461,plain,
( c_in(c_Main_OPlusE__2(X1,X2,X3,X4),X1,X3)
| c_in(c_Main_OPlusE__1(X5,X2,X4,X3),X5,X4)
| ~ c_in(X2,c_Sum__Type_OPlus(X5,X1,X4,X3),tc_sum(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2319]) ).
cnf(c_0_3462,plain,
( c_Wellfounded__Recursion_Oacyclic(X1,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2320]) ).
cnf(c_0_3463,plain,
( c_Wellfounded__Recursion_Owf(X1,X2)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2321]) ).
cnf(c_0_3464,plain,
( c_in(c_Pair(X1,c_Main_ODomainE__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
| ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2322]) ).
cnf(c_0_3465,plain,
( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
| ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2323]) ).
cnf(c_0_3466,plain,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| ~ c_Wellfounded__Recursion_Oacyclic(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2324]) ).
cnf(c_0_3467,plain,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| ~ c_Wellfounded__Recursion_Owf(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2325]) ).
cnf(c_0_3468,plain,
( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
| ~ c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_2326]) ).
cnf(c_0_3469,plain,
( c_Divides_Oop_Advd(X1,X2,tc_nat)
| ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2327]) ).
cnf(c_0_3470,plain,
( c_Divides_Oop_Advd(X1,X2,tc_nat)
| ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2328]) ).
cnf(c_0_3471,plain,
( c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5)
| ~ c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_2329]) ).
cnf(c_0_3472,plain,
( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
| ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2330]) ).
cnf(c_0_3473,plain,
( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
| ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2331]) ).
cnf(c_0_3474,plain,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2332]) ).
cnf(c_0_3475,plain,
( c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
| ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
| ~ c_in(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2333]) ).
cnf(c_0_3476,plain,
( X1 = c_Pair(c_Main_OconverseE__2(X2,X1,X3,X4),c_Main_OconverseE__1(X2,X1,X3,X4),X4,X3)
| ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2334]) ).
cnf(c_0_3477,plain,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2335]) ).
cnf(c_0_3478,plain,
( c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_2336]) ).
cnf(c_0_3479,plain,
( c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
| ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
| ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2337]) ).
cnf(c_0_3480,plain,
( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
| ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2338]) ).
cnf(c_0_3481,plain,
( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
| ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2339]) ).
cnf(c_0_3482,plain,
( X1 = c_List_Olist_ONil
| ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2340]) ).
cnf(c_0_3483,plain,
( X1 = c_List_Olist_ONil
| ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2341]) ).
cnf(c_0_3484,plain,
( c_less(X1,X2,tc_nat)
| ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
inference(split_conjunct,[status(thm)],[c_0_2342]) ).
cnf(c_0_3485,plain,
( X1 = X2
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2343]) ).
cnf(c_0_3486,plain,
( c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_2344]) ).
cnf(c_0_3487,plain,
( c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_2345]) ).
cnf(c_0_3488,plain,
( c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2346]) ).
cnf(c_0_3489,plain,
( X1 = X2
| c_Datatype__Universe_OScons(X1,X3,X4,X5) != c_Datatype__Universe_OScons(X2,X6,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_2347]) ).
cnf(c_0_3490,plain,
( X1 = X2
| c_Datatype__Universe_OScons(X3,X1,X4,X5) != c_Datatype__Universe_OScons(X6,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_2348]) ).
cnf(c_0_3491,plain,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_2349]) ).
cnf(c_0_3492,plain,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_2350]) ).
cnf(c_0_3493,plain,
( c_in(c_Sum__Type_OInl(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X2,X3),tc_sum(X2,X3))
| ~ c_in(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2351]) ).
cnf(c_0_3494,plain,
( c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X3,X2),tc_sum(X3,X2))
| ~ c_in(X1,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2352]) ).
cnf(c_0_3495,plain,
( c_in(c_Pair(X1,X1,X2,X2),c_Relation_Odiag(X3,X2),tc_prod(X2,X2))
| ~ c_in(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2353]) ).
cnf(c_0_3496,plain,
( c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
| ~ c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2354]) ).
cnf(c_0_3497,plain,
( c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| ~ c_less(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2355]) ).
cnf(c_0_3498,plain,
( X1 = c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3)
| ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2356]) ).
cnf(c_0_3499,plain,
( X1 = X2
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
inference(split_conjunct,[status(thm)],[c_0_2357]) ).
cnf(c_0_3500,plain,
( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
| ~ c_Relation_Otrans(X1,X3)
| ~ c_Relation_Otrans(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2358]) ).
cnf(c_0_3501,plain,
( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
| ~ c_Wellfounded__Recursion_Owf(X1,X3)
| ~ c_Wellfounded__Recursion_Owf(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2359]) ).
cnf(c_0_3502,plain,
( X1 = X2
| c_append(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil,X4),X4) != c_append(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_2360]) ).
cnf(c_0_3503,plain,
( X1 = X2
| c_append(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil,X4),X4) != c_append(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_2361]) ).
cnf(c_0_3504,plain,
( c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2362]) ).
cnf(c_0_3505,plain,
( c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
| ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2363]) ).
cnf(c_0_3506,plain,
( X1 = c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2)
| ~ c_in(X1,c_Relation_OId,tc_prod(X2,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2364]) ).
cnf(c_0_3507,plain,
( c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2365]) ).
cnf(c_0_3508,plain,
( c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_2366]) ).
cnf(c_0_3509,plain,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_append(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2367]) ).
cnf(c_0_3510,plain,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2368]) ).
cnf(c_0_3511,plain,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Olist_OCons(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2369]) ).
cnf(c_0_3512,plain,
( c_insert(X1,X2,X3) = c_insert(X1,c_emptyset,X3)
| ~ c_lessequals(X2,c_insert(X1,c_emptyset,X3),tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2370]) ).
cnf(c_0_3513,plain,
( c_insert(X1,c_emptyset,X2) = c_insert(X1,X3,X2)
| ~ c_lessequals(X3,c_insert(X1,c_emptyset,X2),tc_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2371]) ).
cnf(c_0_3514,plain,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_union(X2,X4,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2372]) ).
cnf(c_0_3515,plain,
( ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
| ~ c_in(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2373]) ).
cnf(c_0_3516,plain,
( c_in(X1,X2,X3)
| ~ c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2374]) ).
cnf(c_0_3517,plain,
( c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2375]) ).
cnf(c_0_3518,plain,
( c_less(c_0,X1,tc_nat)
| c_less(c_0,X2,tc_nat)
| ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2376]) ).
cnf(c_0_3519,plain,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(X2,X1,X3),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2377]) ).
cnf(c_0_3520,plain,
( c_in(X1,c_Inter(X2,X3),X3)
| ~ c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2378]) ).
cnf(c_0_3521,plain,
( c_in(X1,c_inter(X2,X3,X4),X4)
| ~ c_in(X1,X2,X4)
| ~ c_in(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2379]) ).
cnf(c_0_3522,plain,
( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
| c_insert(X4,X1,X3) != c_insert(X2,c_emptyset,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2380]) ).
cnf(c_0_3523,plain,
( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
| c_insert(X2,c_emptyset,X3) != c_insert(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2381]) ).
cnf(c_0_3524,plain,
( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2382]) ).
cnf(c_0_3525,plain,
( c_in(c_Main_OdiagE__1(X1,X2,X3),X1,X3)
| ~ c_in(X2,c_Relation_Odiag(X1,X3),tc_prod(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2383]) ).
cnf(c_0_3526,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_minus(X2,X4,tc_set(X3)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2384]) ).
cnf(c_0_3527,plain,
( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2385]) ).
cnf(c_0_3528,plain,
( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2386]) ).
cnf(c_0_3529,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_List_Oset(X4,X3),X3)
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2387]) ).
cnf(c_0_3530,plain,
( c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2388]) ).
cnf(c_0_3531,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2389]) ).
cnf(c_0_3532,plain,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_2390]) ).
cnf(c_0_3533,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X4,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2391]) ).
cnf(c_0_3534,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X2,X4,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2392]) ).
cnf(c_0_3535,plain,
( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
| ~ c_in(X1,c_Union(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2393]) ).
cnf(c_0_3536,plain,
( X1 = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2394]) ).
cnf(c_0_3537,plain,
( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2395]) ).
cnf(c_0_3538,plain,
( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2396]) ).
cnf(c_0_3539,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_Inter(X4,X3),X3)
| ~ c_in(X2,X4,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2397]) ).
cnf(c_0_3540,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2398]) ).
cnf(c_0_3541,plain,
( c_in(c_Main_Oin__listsI__1(X1,X2,X3),c_List_Oset(X2,X3),X3)
| c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2399]) ).
cnf(c_0_3542,plain,
( c_in(X1,c_Union(X2,X3),X3)
| ~ c_in(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2400]) ).
cnf(c_0_3543,plain,
( c_in(c_insert(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2401]) ).
cnf(c_0_3544,plain,
( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2402]) ).
cnf(c_0_3545,plain,
( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2403]) ).
cnf(c_0_3546,plain,
( X1 = X2
| ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2404]) ).
cnf(c_0_3547,plain,
( c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3))
| c_in(X1,c_Inter(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2405]) ).
cnf(c_0_3548,plain,
( c_in(X1,c_union(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2406]) ).
cnf(c_0_3549,plain,
( c_in(X1,c_union(X2,X3,X4),X4)
| ~ c_in(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2407]) ).
cnf(c_0_3550,plain,
( c_in(X1,c_insert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2408]) ).
cnf(c_0_3551,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OatLeast(X2,X3),c_SetInterval_OatLeast(X1,X3),tc_set(X3))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2409]) ).
cnf(c_0_3552,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OatMost(X1,X3),c_SetInterval_OatMost(X2,X3),tc_set(X3))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2410]) ).
cnf(c_0_3553,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X3),c_SetInterval_OgreaterThan(X1,X3),tc_set(X3))
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2411]) ).
cnf(c_0_3554,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OlessThan(X1,X3),c_SetInterval_OlessThan(X2,X3),tc_set(X3))
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2412]) ).
cnf(c_0_3555,plain,
( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
| ~ c_less(c_0,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2413]) ).
cnf(c_0_3556,plain,
( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
| ~ c_less(c_0,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2414]) ).
cnf(c_0_3557,plain,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2415]) ).
cnf(c_0_3558,plain,
( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
| ~ c_in(X1,X2,tc_prod(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2416]) ).
cnf(c_0_3559,plain,
( c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2417]) ).
cnf(c_0_3560,plain,
( ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2418]) ).
cnf(c_0_3561,plain,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2419]) ).
cnf(c_0_3562,plain,
( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2420]) ).
cnf(c_0_3563,plain,
( c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X3,X2),tc_set(X2))
| ~ c_lessequals(X3,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2421]) ).
cnf(c_0_3564,plain,
( c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X3,X2),tc_set(X2))
| ~ c_lessequals(X1,X3,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2422]) ).
cnf(c_0_3565,plain,
( c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X3,X2),tc_set(X2))
| ~ c_lessequals(X3,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2423]) ).
cnf(c_0_3566,plain,
( c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X3,X2),tc_set(X2))
| ~ c_lessequals(X1,X3,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2424]) ).
cnf(c_0_3567,plain,
( c_Wellfounded__Recursion_Oacyclic(X1,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2425]) ).
cnf(c_0_3568,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2426]) ).
cnf(c_0_3569,plain,
( X1 = X2
| ~ c_in(X2,X3,X4)
| ~ c_in(X1,X3,X4)
| ~ c_Infinite__Set_Oatmost__one(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2427]) ).
cnf(c_0_3570,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2428]) ).
cnf(c_0_3571,plain,
( ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_less(X2,X1,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2429]) ).
cnf(c_0_3572,plain,
( c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2430]) ).
cnf(c_0_3573,plain,
( c_lessequals(X1,X2,X3)
| ~ c_in(X2,c_SetInterval_OatLeast(X1,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2431]) ).
cnf(c_0_3574,plain,
( c_lessequals(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2432]) ).
cnf(c_0_3575,plain,
( c_less(X1,X2,X3)
| ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2433]) ).
cnf(c_0_3576,plain,
( c_less(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2434]) ).
cnf(c_0_3577,plain,
( c_in(X1,c_Pow(X2,X3),tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2435]) ).
cnf(c_0_3578,plain,
( c_in(X1,c_SetInterval_OatLeast(X2,X3),X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2436]) ).
cnf(c_0_3579,plain,
( c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2437]) ).
cnf(c_0_3580,plain,
( c_in(X1,c_SetInterval_OgreaterThan(X2,X3),X3)
| ~ c_less(X2,X1,X3)
| ~ class_Orderings_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2438]) ).
cnf(c_0_3581,plain,
( c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
| ~ c_less(X1,X2,X3)
| ~ class_Orderings_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2439]) ).
cnf(c_0_3582,plain,
( X1 = X2
| c_Datatype__Universe_OAtom(X1,X3,X4) != c_Datatype__Universe_OAtom(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2440]) ).
cnf(c_0_3583,plain,
( X1 = X2
| c_Datatype__Universe_OIn0(X1,X3,X4) != c_Datatype__Universe_OIn0(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2441]) ).
cnf(c_0_3584,plain,
( X1 = X2
| c_Datatype__Universe_OIn1(X1,X3,X4) != c_Datatype__Universe_OIn1(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2442]) ).
cnf(c_0_3585,plain,
( X1 = X2
| c_append(X1,X3,X4) != c_append(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2443]) ).
cnf(c_0_3586,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2444]) ).
cnf(c_0_3587,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2445]) ).
cnf(c_0_3588,plain,
( X1 = X2
| c_append(X3,X1,X4) != c_append(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2446]) ).
cnf(c_0_3589,plain,
( X1 = X2
| c_Sum__Type_OInl(X1,X3,X4) != c_Sum__Type_OInl(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2447]) ).
cnf(c_0_3590,plain,
( X1 = X2
| c_Sum__Type_OInr(X1,X3,X4) != c_Sum__Type_OInr(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2448]) ).
cnf(c_0_3591,plain,
( X1 = X2
| c_Datatype__Universe_OLeaf(X1,X3,X4) != c_Datatype__Universe_OLeaf(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2449]) ).
cnf(c_0_3592,plain,
( X1 = X2
| c_Datatype__Universe_ONumb(X1,X3,X4) != c_Datatype__Universe_ONumb(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2450]) ).
cnf(c_0_3593,plain,
( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(split_conjunct,[status(thm)],[c_0_2451]) ).
cnf(c_0_3594,plain,
( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
inference(split_conjunct,[status(thm)],[c_0_2452]) ).
cnf(c_0_3595,plain,
( X1 = X2
| c_insert(X1,X3,X4) != c_insert(X2,c_emptyset,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2453]) ).
cnf(c_0_3596,plain,
( X1 = X2
| c_insert(X2,c_emptyset,X3) != c_insert(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2454]) ).
cnf(c_0_3597,plain,
( X1 = X2
| c_insert(X1,c_emptyset,X3) != c_insert(X2,c_emptyset,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2455]) ).
cnf(c_0_3598,plain,
( X1 = c_times(X2,c_Main_Omod__eq__0D__dest__1(X2,X1),tc_nat)
| c_Divides_Oop_Amod(X1,X2,tc_nat) != c_0 ),
inference(split_conjunct,[status(thm)],[c_0_2456]) ).
cnf(c_0_3599,plain,
( X1 = c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint)
| c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint) != c_0 ),
inference(split_conjunct,[status(thm)],[c_0_2457]) ).
cnf(c_0_3600,plain,
( c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
inference(split_conjunct,[status(thm)],[c_0_2458]) ).
cnf(c_0_3601,plain,
( c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
inference(split_conjunct,[status(thm)],[c_0_2459]) ).
cnf(c_0_3602,plain,
( X1 = X2
| c_less(X1,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2460]) ).
cnf(c_0_3603,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_less(X1,X2,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2461]) ).
cnf(c_0_3604,plain,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2462]) ).
cnf(c_0_3605,plain,
( c_less(X1,X2,tc_nat)
| ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2463]) ).
cnf(c_0_3606,plain,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2464]) ).
cnf(c_0_3607,plain,
( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_less(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2465]) ).
cnf(c_0_3608,plain,
( c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2466]) ).
cnf(c_0_3609,plain,
( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
| ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2467]) ).
cnf(c_0_3610,plain,
( X1 = c_Datatype_Ooption_OSome(X2,X3)
| ~ c_in(X2,c_Datatype_Oo2s(X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2468]) ).
cnf(c_0_3611,plain,
( c_List_Oremdups(X1,X2) = X1
| c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2469]) ).
cnf(c_0_3612,plain,
( ~ c_less(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2470]) ).
cnf(c_0_3613,plain,
( X1 = c_List_Olist_ONil
| c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2471]) ).
cnf(c_0_3614,plain,
( c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2))
| c_List_Oremdups(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2472]) ).
cnf(c_0_3615,plain,
( X1 = c_0
| ~ c_less(X1,c_Suc(c_0),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2473]) ).
cnf(c_0_3616,plain,
( X1 = c_List_Olist_ONil
| c_append(X1,X2,X3) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2474]) ).
cnf(c_0_3617,plain,
( X1 = c_List_Olist_ONil
| c_append(X2,X1,X3) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2475]) ).
cnf(c_0_3618,plain,
( X1 = c_List_Olist_ONil
| X2 != c_append(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2476]) ).
cnf(c_0_3619,plain,
( X1 = c_List_Olist_ONil
| X2 != c_append(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2477]) ).
cnf(c_0_3620,plain,
( X1 = c_emptyset
| c_emptyset != c_Equiv__Relations_Oquotient(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2478]) ).
cnf(c_0_3621,plain,
( X1 = c_emptyset
| c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
inference(split_conjunct,[status(thm)],[c_0_2479]) ).
cnf(c_0_3622,plain,
( X1 = c_List_Olist_ONil
| c_List_Olist_ONil != c_append(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2480]) ).
cnf(c_0_3623,plain,
( X1 = c_List_Olist_ONil
| c_List_Olist_ONil != c_append(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2481]) ).
cnf(c_0_3624,plain,
( X1 = c_List_Olist_ONil
| c_append(X1,X2,X3) != c_List_Olist_ONil ),
inference(split_conjunct,[status(thm)],[c_0_2482]) ).
cnf(c_0_3625,plain,
( X1 = c_List_Olist_ONil
| c_append(X2,X1,X3) != c_List_Olist_ONil ),
inference(split_conjunct,[status(thm)],[c_0_2483]) ).
cnf(c_0_3626,plain,
( X1 = c_emptyset
| c_union(X1,X2,X3) != c_emptyset ),
inference(split_conjunct,[status(thm)],[c_0_2484]) ).
cnf(c_0_3627,plain,
( X1 = c_emptyset
| c_union(X2,X1,X3) != c_emptyset ),
inference(split_conjunct,[status(thm)],[c_0_2485]) ).
cnf(c_0_3628,plain,
( X1 = c_0
| c_plus(X1,X2,tc_nat) != c_0 ),
inference(split_conjunct,[status(thm)],[c_0_2486]) ).
cnf(c_0_3629,plain,
( X1 = c_0
| c_plus(X2,X1,tc_nat) != c_0 ),
inference(split_conjunct,[status(thm)],[c_0_2487]) ).
cnf(c_0_3630,plain,
( X1 = c_0
| ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2488]) ).
cnf(c_0_3631,plain,
( X1 = c_0
| ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
inference(split_conjunct,[status(thm)],[c_0_2489]) ).
cnf(c_0_3632,plain,
( X1 = c_0
| ~ c_lessequals(X1,c_0,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2490]) ).
cnf(c_0_3633,plain,
( X1 = c_0
| ~ c_less(X1,c_1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2491]) ).
cnf(c_0_3634,plain,
( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X1,X2),tc_List_Olist(X2))
| ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2492]) ).
cnf(c_0_3635,plain,
( c_Wellfounded__Recursion_Owf(c_List_Olex(X1,X2),tc_List_Olist(X2))
| ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2493]) ).
cnf(c_0_3636,plain,
( X1 = X2
| c_uminus(X1,tc_set(X3)) != c_uminus(X2,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2494]) ).
cnf(c_0_3637,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2495]) ).
cnf(c_0_3638,plain,
( X1 = X2
| c_SetInterval_OatLeast(X1,X3) != c_SetInterval_OatLeast(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2496]) ).
cnf(c_0_3639,plain,
( X1 = X2
| c_SetInterval_OatMost(X1,X3) != c_SetInterval_OatMost(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2497]) ).
cnf(c_0_3640,plain,
( X1 = X2
| c_SetInterval_OgreaterThan(X1,X3) != c_SetInterval_OgreaterThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2498]) ).
cnf(c_0_3641,plain,
( X1 = X2
| c_SetInterval_OlessThan(X1,X3) != c_SetInterval_OlessThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2499]) ).
cnf(c_0_3642,plain,
( X1 = c_0
| c_less(c_0,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_2500]) ).
cnf(c_0_3643,plain,
( X1 = X2
| c_Datatype_Ooption_OSome(X1,X3) != c_Datatype_Ooption_OSome(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2501]) ).
cnf(c_0_3644,plain,
( X1 = X2
| c_List_Ochar_OChar(X1,X3) != c_List_Ochar_OChar(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2502]) ).
cnf(c_0_3645,plain,
( X1 = X2
| c_List_Ochar_OChar(X3,X1) != c_List_Ochar_OChar(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2503]) ).
cnf(c_0_3646,plain,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2504]) ).
cnf(c_0_3647,plain,
( class_Finite__Set_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite(X1)
| ~ class_Finite__Set_Ofinite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2505]) ).
cnf(c_0_3648,plain,
( class_Finite__Set_Ofinite(tc_prod(X1,X2))
| ~ class_Finite__Set_Ofinite(X1)
| ~ class_Finite__Set_Ofinite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2506]) ).
cnf(c_0_3649,plain,
( class_Finite__Set_Ofinite(tc_sum(X1,X2))
| ~ class_Finite__Set_Ofinite(X1)
| ~ class_Finite__Set_Ofinite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2507]) ).
cnf(c_0_3650,plain,
( X1 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X1,X2),X2)
| X1 = c_Datatype_Ooption_ONone ),
inference(split_conjunct,[status(thm)],[c_0_2508]) ).
cnf(c_0_3651,plain,
( X1 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X1,X2),X2)
| X1 = c_Datatype_Ooption_ONone ),
inference(split_conjunct,[status(thm)],[c_0_2509]) ).
cnf(c_0_3652,plain,
( X1 = c_List_Olist_ONil
| c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
inference(split_conjunct,[status(thm)],[c_0_2510]) ).
cnf(c_0_3653,plain,
( X1 = c_List_Olist_ONil
| c_List_Olist_ONil != c_List_Orev(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2511]) ).
cnf(c_0_3654,plain,
( X1 = c_List_Olist_ONil
| c_List_Orev(X1,X2) != c_List_Olist_ONil ),
inference(split_conjunct,[status(thm)],[c_0_2512]) ).
cnf(c_0_3655,plain,
( X1 = c_List_Olist_ONil
| c_emptyset != c_List_Oset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2513]) ).
cnf(c_0_3656,plain,
( X1 = c_List_Olist_ONil
| c_List_Oset(X1,X2) != c_emptyset ),
inference(split_conjunct,[status(thm)],[c_0_2514]) ).
cnf(c_0_3657,plain,
( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))
| ~ class_Finite__Set_Ofinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2515]) ).
cnf(c_0_3658,plain,
( class_Finite__Set_Ofinite(tc_set(X1))
| ~ class_Finite__Set_Ofinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2516]) ).
cnf(c_0_3659,plain,
( X1 = X2
| c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2517]) ).
cnf(c_0_3660,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2518]) ).
cnf(c_0_3661,plain,
( class_Orderings_Oord(X1)
| ~ class_LOrder_Ojoin__semilorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2519]) ).
cnf(c_0_3662,plain,
( class_Orderings_Oorder(X1)
| ~ class_LOrder_Ojoin__semilorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2520]) ).
cnf(c_0_3663,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_LOrder_Olorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2521]) ).
cnf(c_0_3664,plain,
( class_Orderings_Oord(X1)
| ~ class_LOrder_Olorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2522]) ).
cnf(c_0_3665,plain,
( class_Orderings_Oorder(X1)
| ~ class_LOrder_Olorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2523]) ).
cnf(c_0_3666,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_LOrder_Olorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2524]) ).
cnf(c_0_3667,plain,
( class_Orderings_Oord(X1)
| ~ class_LOrder_Omeet__semilorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2525]) ).
cnf(c_0_3668,plain,
( class_Orderings_Oorder(X1)
| ~ class_LOrder_Omeet__semilorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2526]) ).
cnf(c_0_3669,plain,
( class_HOL_Oplus(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2527]) ).
cnf(c_0_3670,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2528]) ).
cnf(c_0_3671,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2529]) ).
cnf(c_0_3672,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2530]) ).
cnf(c_0_3673,plain,
( class_HOL_Ominus(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2531]) ).
cnf(c_0_3674,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2532]) ).
cnf(c_0_3675,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2533]) ).
cnf(c_0_3676,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2534]) ).
cnf(c_0_3677,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2535]) ).
cnf(c_0_3678,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2536]) ).
cnf(c_0_3679,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2537]) ).
cnf(c_0_3680,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2538]) ).
cnf(c_0_3681,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2539]) ).
cnf(c_0_3682,plain,
( class_HOL_Oone(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2540]) ).
cnf(c_0_3683,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2541]) ).
cnf(c_0_3684,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2542]) ).
cnf(c_0_3685,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2543]) ).
cnf(c_0_3686,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2544]) ).
cnf(c_0_3687,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2545]) ).
cnf(c_0_3688,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2546]) ).
cnf(c_0_3689,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2547]) ).
cnf(c_0_3690,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2548]) ).
cnf(c_0_3691,plain,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2549]) ).
cnf(c_0_3692,plain,
( class_HOL_Otimes(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2550]) ).
cnf(c_0_3693,plain,
( class_Numeral_Onumber(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2551]) ).
cnf(c_0_3694,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2552]) ).
cnf(c_0_3695,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2553]) ).
cnf(c_0_3696,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2554]) ).
cnf(c_0_3697,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2555]) ).
cnf(c_0_3698,plain,
( class_HOL_Ozero(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2556]) ).
cnf(c_0_3699,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2557]) ).
cnf(c_0_3700,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2558]) ).
cnf(c_0_3701,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2559]) ).
cnf(c_0_3702,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2560]) ).
cnf(c_0_3703,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2561]) ).
cnf(c_0_3704,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2562]) ).
cnf(c_0_3705,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2563]) ).
cnf(c_0_3706,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2564]) ).
cnf(c_0_3707,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2565]) ).
cnf(c_0_3708,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2566]) ).
cnf(c_0_3709,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2567]) ).
cnf(c_0_3710,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2568]) ).
cnf(c_0_3711,plain,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2569]) ).
cnf(c_0_3712,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2570]) ).
cnf(c_0_3713,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2571]) ).
cnf(c_0_3714,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2572]) ).
cnf(c_0_3715,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2573]) ).
cnf(c_0_3716,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2574]) ).
cnf(c_0_3717,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2575]) ).
cnf(c_0_3718,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2576]) ).
cnf(c_0_3719,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2577]) ).
cnf(c_0_3720,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2578]) ).
cnf(c_0_3721,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2579]) ).
cnf(c_0_3722,plain,
( class_HOL_Oone(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2580]) ).
cnf(c_0_3723,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2581]) ).
cnf(c_0_3724,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2582]) ).
cnf(c_0_3725,plain,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2583]) ).
cnf(c_0_3726,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2584]) ).
cnf(c_0_3727,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2585]) ).
cnf(c_0_3728,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2586]) ).
cnf(c_0_3729,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2587]) ).
cnf(c_0_3730,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2588]) ).
cnf(c_0_3731,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2589]) ).
cnf(c_0_3732,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2590]) ).
cnf(c_0_3733,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2591]) ).
cnf(c_0_3734,plain,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2592]) ).
cnf(c_0_3735,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2593]) ).
cnf(c_0_3736,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2594]) ).
cnf(c_0_3737,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2595]) ).
cnf(c_0_3738,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2596]) ).
cnf(c_0_3739,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2597]) ).
cnf(c_0_3740,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2598]) ).
cnf(c_0_3741,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2599]) ).
cnf(c_0_3742,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2600]) ).
cnf(c_0_3743,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2601]) ).
cnf(c_0_3744,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2602]) ).
cnf(c_0_3745,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2603]) ).
cnf(c_0_3746,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2604]) ).
cnf(c_0_3747,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2605]) ).
cnf(c_0_3748,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2606]) ).
cnf(c_0_3749,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2607]) ).
cnf(c_0_3750,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2608]) ).
cnf(c_0_3751,plain,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2609]) ).
cnf(c_0_3752,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2610]) ).
cnf(c_0_3753,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2611]) ).
cnf(c_0_3754,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2612]) ).
cnf(c_0_3755,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2613]) ).
cnf(c_0_3756,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2614]) ).
cnf(c_0_3757,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2615]) ).
cnf(c_0_3758,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2616]) ).
cnf(c_0_3759,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2617]) ).
cnf(c_0_3760,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2618]) ).
cnf(c_0_3761,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2619]) ).
cnf(c_0_3762,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2620]) ).
cnf(c_0_3763,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2621]) ).
cnf(c_0_3764,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2622]) ).
cnf(c_0_3765,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2623]) ).
cnf(c_0_3766,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2624]) ).
cnf(c_0_3767,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2625]) ).
cnf(c_0_3768,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2626]) ).
cnf(c_0_3769,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2627]) ).
cnf(c_0_3770,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2628]) ).
cnf(c_0_3771,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2629]) ).
cnf(c_0_3772,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2630]) ).
cnf(c_0_3773,plain,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2631]) ).
cnf(c_0_3774,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2632]) ).
cnf(c_0_3775,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2633]) ).
cnf(c_0_3776,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2634]) ).
cnf(c_0_3777,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2635]) ).
cnf(c_0_3778,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2636]) ).
cnf(c_0_3779,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2637]) ).
cnf(c_0_3780,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2638]) ).
cnf(c_0_3781,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2639]) ).
cnf(c_0_3782,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2640]) ).
cnf(c_0_3783,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2641]) ).
cnf(c_0_3784,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2642]) ).
cnf(c_0_3785,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2643]) ).
cnf(c_0_3786,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2644]) ).
cnf(c_0_3787,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2645]) ).
cnf(c_0_3788,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2646]) ).
cnf(c_0_3789,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2647]) ).
cnf(c_0_3790,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2648]) ).
cnf(c_0_3791,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2649]) ).
cnf(c_0_3792,plain,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2650]) ).
cnf(c_0_3793,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2651]) ).
cnf(c_0_3794,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2652]) ).
cnf(c_0_3795,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2653]) ).
cnf(c_0_3796,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2654]) ).
cnf(c_0_3797,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2655]) ).
cnf(c_0_3798,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2656]) ).
cnf(c_0_3799,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2657]) ).
cnf(c_0_3800,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2658]) ).
cnf(c_0_3801,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2659]) ).
cnf(c_0_3802,plain,
( class_HOL_Oone(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2660]) ).
cnf(c_0_3803,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2661]) ).
cnf(c_0_3804,plain,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2662]) ).
cnf(c_0_3805,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2663]) ).
cnf(c_0_3806,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2664]) ).
cnf(c_0_3807,plain,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2665]) ).
cnf(c_0_3808,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2666]) ).
cnf(c_0_3809,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2667]) ).
cnf(c_0_3810,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2668]) ).
cnf(c_0_3811,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2669]) ).
cnf(c_0_3812,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2670]) ).
cnf(c_0_3813,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2671]) ).
cnf(c_0_3814,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2672]) ).
cnf(c_0_3815,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2673]) ).
cnf(c_0_3816,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2674]) ).
cnf(c_0_3817,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2675]) ).
cnf(c_0_3818,plain,
( class_Orderings_Olinorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2676]) ).
cnf(c_0_3819,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2677]) ).
cnf(c_0_3820,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2678]) ).
cnf(c_0_3821,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2679]) ).
cnf(c_0_3822,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2680]) ).
cnf(c_0_3823,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2681]) ).
cnf(c_0_3824,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2682]) ).
cnf(c_0_3825,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2683]) ).
cnf(c_0_3826,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2684]) ).
cnf(c_0_3827,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2685]) ).
cnf(c_0_3828,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2686]) ).
cnf(c_0_3829,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2687]) ).
cnf(c_0_3830,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2688]) ).
cnf(c_0_3831,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2689]) ).
cnf(c_0_3832,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2690]) ).
cnf(c_0_3833,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2691]) ).
cnf(c_0_3834,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2692]) ).
cnf(c_0_3835,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2693]) ).
cnf(c_0_3836,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2694]) ).
cnf(c_0_3837,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2695]) ).
cnf(c_0_3838,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2696]) ).
cnf(c_0_3839,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2697]) ).
cnf(c_0_3840,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2698]) ).
cnf(c_0_3841,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2699]) ).
cnf(c_0_3842,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2700]) ).
cnf(c_0_3843,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2701]) ).
cnf(c_0_3844,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2702]) ).
cnf(c_0_3845,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2703]) ).
cnf(c_0_3846,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2704]) ).
cnf(c_0_3847,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2705]) ).
cnf(c_0_3848,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2706]) ).
cnf(c_0_3849,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2707]) ).
cnf(c_0_3850,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2708]) ).
cnf(c_0_3851,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2709]) ).
cnf(c_0_3852,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2710]) ).
cnf(c_0_3853,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2711]) ).
cnf(c_0_3854,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2712]) ).
cnf(c_0_3855,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Osemigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2713]) ).
cnf(c_0_3856,plain,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Osemigroup__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2714]) ).
cnf(c_0_3857,plain,
( class_LOrder_Olorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2715]) ).
cnf(c_0_3858,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2716]) ).
cnf(c_0_3859,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2717]) ).
cnf(c_0_3860,plain,
( class_Orderings_Oord(X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2718]) ).
cnf(c_0_3861,plain,
( class_Orderings_Oorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2719]) ).
cnf(c_0_3862,plain,
( class_Orderings_Oord(X1)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2720]) ).
cnf(c_0_3863,plain,
( class_Nat_Opower(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2721]) ).
cnf(c_0_3864,plain,
( class_HOL_Ozero(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2722]) ).
cnf(c_0_3865,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2723]) ).
cnf(c_0_3866,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2724]) ).
cnf(c_0_3867,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2725]) ).
cnf(c_0_3868,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2726]) ).
cnf(c_0_3869,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2727]) ).
cnf(c_0_3870,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2728]) ).
cnf(c_0_3871,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2729]) ).
cnf(c_0_3872,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2730]) ).
cnf(c_0_3873,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2731]) ).
cnf(c_0_3874,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2732]) ).
cnf(c_0_3875,plain,
( class_HOL_Oone(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2733]) ).
cnf(c_0_3876,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2734]) ).
cnf(c_0_3877,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2735]) ).
cnf(c_0_3878,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2736]) ).
cnf(c_0_3879,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2737]) ).
cnf(c_0_3880,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2738]) ).
cnf(c_0_3881,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2739]) ).
cnf(c_0_3882,plain,
( class_HOL_Oplus(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2740]) ).
cnf(c_0_3883,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2741]) ).
cnf(c_0_3884,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2742]) ).
cnf(c_0_3885,plain,
( class_HOL_Otimes(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2743]) ).
cnf(c_0_3886,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2744]) ).
cnf(c_0_3887,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Power_Orecpower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2745]) ).
cnf(c_0_3888,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2746]) ).
cnf(c_0_3889,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2747]) ).
cnf(c_0_3890,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2748]) ).
cnf(c_0_3891,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2749]) ).
cnf(c_0_3892,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2750]) ).
cnf(c_0_3893,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2751]) ).
cnf(c_0_3894,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2752]) ).
cnf(c_0_3895,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2753]) ).
cnf(c_0_3896,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2754]) ).
cnf(c_0_3897,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2755]) ).
cnf(c_0_3898,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2756]) ).
cnf(c_0_3899,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2757]) ).
cnf(c_0_3900,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2758]) ).
cnf(c_0_3901,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2759]) ).
cnf(c_0_3902,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2760]) ).
cnf(c_0_3903,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2761]) ).
cnf(c_0_3904,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2762]) ).
cnf(c_0_3905,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2763]) ).
cnf(c_0_3906,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2764]) ).
cnf(c_0_3907,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2765]) ).
cnf(c_0_3908,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2766]) ).
cnf(c_0_3909,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2767]) ).
cnf(c_0_3910,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2768]) ).
cnf(c_0_3911,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2769]) ).
cnf(c_0_3912,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2770]) ).
cnf(c_0_3913,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2771]) ).
cnf(c_0_3914,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2772]) ).
cnf(c_0_3915,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2773]) ).
cnf(c_0_3916,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2774]) ).
cnf(c_0_3917,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2775]) ).
cnf(c_0_3918,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2776]) ).
cnf(c_0_3919,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2777]) ).
cnf(c_0_3920,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2778]) ).
cnf(c_0_3921,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2779]) ).
cnf(c_0_3922,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2780]) ).
cnf(c_0_3923,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2781]) ).
cnf(c_0_3924,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2782]) ).
cnf(c_0_3925,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2783]) ).
cnf(c_0_3926,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2784]) ).
cnf(c_0_3927,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2785]) ).
cnf(c_0_3928,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2786]) ).
cnf(c_0_3929,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2787]) ).
cnf(c_0_3930,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2788]) ).
cnf(c_0_3931,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2789]) ).
cnf(c_0_3932,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2790]) ).
cnf(c_0_3933,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2791]) ).
cnf(c_0_3934,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2792]) ).
cnf(c_0_3935,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2793]) ).
cnf(c_0_3936,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2794]) ).
cnf(c_0_3937,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2795]) ).
cnf(c_0_3938,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2796]) ).
cnf(c_0_3939,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2797]) ).
cnf(c_0_3940,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2798]) ).
cnf(c_0_3941,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2799]) ).
cnf(c_0_3942,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2800]) ).
cnf(c_0_3943,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2801]) ).
cnf(c_0_3944,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2802]) ).
cnf(c_0_3945,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2803]) ).
cnf(c_0_3946,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2804]) ).
cnf(c_0_3947,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2805]) ).
cnf(c_0_3948,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2806]) ).
cnf(c_0_3949,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2807]) ).
cnf(c_0_3950,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2808]) ).
cnf(c_0_3951,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2809]) ).
cnf(c_0_3952,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2810]) ).
cnf(c_0_3953,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2811]) ).
cnf(c_0_3954,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2812]) ).
cnf(c_0_3955,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2813]) ).
cnf(c_0_3956,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2814]) ).
cnf(c_0_3957,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2815]) ).
cnf(c_0_3958,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2816]) ).
cnf(c_0_3959,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2817]) ).
cnf(c_0_3960,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2818]) ).
cnf(c_0_3961,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2819]) ).
cnf(c_0_3962,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2820]) ).
cnf(c_0_3963,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2821]) ).
cnf(c_0_3964,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2822]) ).
cnf(c_0_3965,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2823]) ).
cnf(c_0_3966,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2824]) ).
cnf(c_0_3967,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2825]) ).
cnf(c_0_3968,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2826]) ).
cnf(c_0_3969,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2827]) ).
cnf(c_0_3970,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2828]) ).
cnf(c_0_3971,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2829]) ).
cnf(c_0_3972,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2830]) ).
cnf(c_0_3973,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2831]) ).
cnf(c_0_3974,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2832]) ).
cnf(c_0_3975,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2833]) ).
cnf(c_0_3976,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2834]) ).
cnf(c_0_3977,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2835]) ).
cnf(c_0_3978,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2836]) ).
cnf(c_0_3979,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2837]) ).
cnf(c_0_3980,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2838]) ).
cnf(c_0_3981,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2839]) ).
cnf(c_0_3982,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2840]) ).
cnf(c_0_3983,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2841]) ).
cnf(c_0_3984,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2842]) ).
cnf(c_0_3985,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2843]) ).
cnf(c_0_3986,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2844]) ).
cnf(c_0_3987,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2845]) ).
cnf(c_0_3988,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2846]) ).
cnf(c_0_3989,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2847]) ).
cnf(c_0_3990,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2848]) ).
cnf(c_0_3991,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2849]) ).
cnf(c_0_3992,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2850]) ).
cnf(c_0_3993,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2851]) ).
cnf(c_0_3994,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2852]) ).
cnf(c_0_3995,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2853]) ).
cnf(c_0_3996,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2854]) ).
cnf(c_0_3997,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2855]) ).
cnf(c_0_3998,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2856]) ).
cnf(c_0_3999,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2857]) ).
cnf(c_0_4000,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2858]) ).
cnf(c_0_4001,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2859]) ).
cnf(c_0_4002,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2860]) ).
cnf(c_0_4003,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2861]) ).
cnf(c_0_4004,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2862]) ).
cnf(c_0_4005,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2863]) ).
cnf(c_0_4006,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2864]) ).
cnf(c_0_4007,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2865]) ).
cnf(c_0_4008,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2866]) ).
cnf(c_0_4009,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2867]) ).
cnf(c_0_4010,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2868]) ).
cnf(c_0_4011,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2869]) ).
cnf(c_0_4012,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2870]) ).
cnf(c_0_4013,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2871]) ).
cnf(c_0_4014,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2872]) ).
cnf(c_0_4015,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2873]) ).
cnf(c_0_4016,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2874]) ).
cnf(c_0_4017,plain,
( class_HOL_Oinverse(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2875]) ).
cnf(c_0_4018,plain,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2876]) ).
cnf(c_0_4019,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2877]) ).
cnf(c_0_4020,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2878]) ).
cnf(c_0_4021,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2879]) ).
cnf(c_0_4022,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2880]) ).
cnf(c_0_4023,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2881]) ).
cnf(c_0_4024,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2882]) ).
cnf(c_0_4025,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2883]) ).
cnf(c_0_4026,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2884]) ).
cnf(c_0_4027,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2885]) ).
cnf(c_0_4028,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2886]) ).
cnf(c_0_4029,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2887]) ).
cnf(c_0_4030,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2888]) ).
cnf(c_0_4031,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2889]) ).
cnf(c_0_4032,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2890]) ).
cnf(c_0_4033,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2891]) ).
cnf(c_0_4034,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2892]) ).
cnf(c_0_4035,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2893]) ).
cnf(c_0_4036,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2894]) ).
cnf(c_0_4037,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2895]) ).
cnf(c_0_4038,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2896]) ).
cnf(c_0_4039,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2897]) ).
cnf(c_0_4040,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2898]) ).
cnf(c_0_4041,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2899]) ).
cnf(c_0_4042,plain,
( class_HOL_Oinverse(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2900]) ).
cnf(c_0_4043,plain,
( class_Ring__and__Field_Oidom(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2901]) ).
cnf(c_0_4044,plain,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2902]) ).
cnf(c_0_4045,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2903]) ).
cnf(c_0_4046,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2904]) ).
cnf(c_0_4047,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2905]) ).
cnf(c_0_4048,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2906]) ).
cnf(c_0_4049,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2907]) ).
cnf(c_0_4050,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2908]) ).
cnf(c_0_4051,plain,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2909]) ).
cnf(c_0_4052,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2910]) ).
cnf(c_0_4053,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2911]) ).
cnf(c_0_4054,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2912]) ).
cnf(c_0_4055,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2913]) ).
cnf(c_0_4056,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2914]) ).
cnf(c_0_4057,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2915]) ).
cnf(c_0_4058,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2916]) ).
cnf(c_0_4059,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2917]) ).
cnf(c_0_4060,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2918]) ).
cnf(c_0_4061,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2919]) ).
cnf(c_0_4062,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2920]) ).
cnf(c_0_4063,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2921]) ).
cnf(c_0_4064,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2922]) ).
cnf(c_0_4065,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2923]) ).
cnf(c_0_4066,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2924]) ).
cnf(c_0_4067,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2925]) ).
cnf(c_0_4068,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2926]) ).
cnf(c_0_4069,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2927]) ).
cnf(c_0_4070,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2928]) ).
cnf(c_0_4071,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2929]) ).
cnf(c_0_4072,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2930]) ).
cnf(c_0_4073,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2931]) ).
cnf(c_0_4074,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2932]) ).
cnf(c_0_4075,plain,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2933]) ).
cnf(c_0_4076,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2934]) ).
cnf(c_0_4077,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2935]) ).
cnf(c_0_4078,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2936]) ).
cnf(c_0_4079,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2937]) ).
cnf(c_0_4080,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2938]) ).
cnf(c_0_4081,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2939]) ).
cnf(c_0_4082,plain,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2940]) ).
cnf(c_0_4083,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2941]) ).
cnf(c_0_4084,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2942]) ).
cnf(c_0_4085,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2943]) ).
cnf(c_0_4086,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2944]) ).
cnf(c_0_4087,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2945]) ).
cnf(c_0_4088,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2946]) ).
cnf(c_0_4089,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2947]) ).
cnf(c_0_4090,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2948]) ).
cnf(c_0_4091,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2949]) ).
cnf(c_0_4092,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2950]) ).
cnf(c_0_4093,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2951]) ).
cnf(c_0_4094,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2952]) ).
cnf(c_0_4095,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2953]) ).
cnf(c_0_4096,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2954]) ).
cnf(c_0_4097,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2955]) ).
cnf(c_0_4098,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2956]) ).
cnf(c_0_4099,plain,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2957]) ).
cnf(c_0_4100,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2958]) ).
cnf(c_0_4101,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2959]) ).
cnf(c_0_4102,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2960]) ).
cnf(c_0_4103,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2961]) ).
cnf(c_0_4104,plain,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2962]) ).
cnf(c_0_4105,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2963]) ).
cnf(c_0_4106,plain,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2964]) ).
cnf(c_0_4107,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2965]) ).
cnf(c_0_4108,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2966]) ).
cnf(c_0_4109,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2967]) ).
cnf(c_0_4110,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2968]) ).
cnf(c_0_4111,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2969]) ).
cnf(c_0_4112,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2970]) ).
cnf(c_0_4113,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2971]) ).
cnf(c_0_4114,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2972]) ).
cnf(c_0_4115,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2973]) ).
cnf(c_0_4116,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2974]) ).
cnf(c_0_4117,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2975]) ).
cnf(c_0_4118,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2976]) ).
cnf(c_0_4119,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2977]) ).
cnf(c_0_4120,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2978]) ).
cnf(c_0_4121,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2979]) ).
cnf(c_0_4122,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2980]) ).
cnf(c_0_4123,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2981]) ).
cnf(c_0_4124,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2982]) ).
cnf(c_0_4125,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2983]) ).
cnf(c_0_4126,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2984]) ).
cnf(c_0_4127,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2985]) ).
cnf(c_0_4128,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2986]) ).
cnf(c_0_4129,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2987]) ).
cnf(c_0_4130,plain,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2988]) ).
cnf(c_0_4131,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2989]) ).
cnf(c_0_4132,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2990]) ).
cnf(c_0_4133,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2991]) ).
cnf(c_0_4134,plain,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2992]) ).
cnf(c_0_4135,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2993]) ).
cnf(c_0_4136,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2994]) ).
cnf(c_0_4137,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2995]) ).
cnf(c_0_4138,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2996]) ).
cnf(c_0_4139,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2997]) ).
cnf(c_0_4140,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2998]) ).
cnf(c_0_4141,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2999]) ).
cnf(c_0_4142,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3000]) ).
cnf(c_0_4143,plain,
( class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3001]) ).
cnf(c_0_4144,plain,
( class_HOL_Oinverse(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3002]) ).
cnf(c_0_4145,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3003]) ).
cnf(c_0_4146,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3004]) ).
cnf(c_0_4147,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3005]) ).
cnf(c_0_4148,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3006]) ).
cnf(c_0_4149,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3007]) ).
cnf(c_0_4150,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3008]) ).
cnf(c_0_4151,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3009]) ).
cnf(c_0_4152,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3010]) ).
cnf(c_0_4153,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3011]) ).
cnf(c_0_4154,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3012]) ).
cnf(c_0_4155,plain,
( class_Ring__and__Field_Oidom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3013]) ).
cnf(c_0_4156,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3014]) ).
cnf(c_0_4157,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3015]) ).
cnf(c_0_4158,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3016]) ).
cnf(c_0_4159,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3017]) ).
cnf(c_0_4160,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3018]) ).
cnf(c_0_4161,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3019]) ).
cnf(c_0_4162,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3020]) ).
cnf(c_0_4163,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3021]) ).
cnf(c_0_4164,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3022]) ).
cnf(c_0_4165,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3023]) ).
cnf(c_0_4166,plain,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3024]) ).
cnf(c_0_4167,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3025]) ).
cnf(c_0_4168,plain,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3026]) ).
cnf(c_0_4169,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3027]) ).
cnf(c_0_4170,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3028]) ).
cnf(c_0_4171,plain,
( class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3029]) ).
cnf(c_0_4172,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3030]) ).
cnf(c_0_4173,plain,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3031]) ).
cnf(c_0_4174,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3032]) ).
cnf(c_0_4175,plain,
( class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3033]) ).
cnf(c_0_4176,plain,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3034]) ).
cnf(c_0_4177,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3035]) ).
cnf(c_0_4178,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3036]) ).
cnf(c_0_4179,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3037]) ).
cnf(c_0_4180,plain,
( class_Ring__and__Field_Oaxclass__abs__if(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3038]) ).
cnf(c_0_4181,plain,
( class_Ring__and__Field_Olordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3039]) ).
cnf(c_0_4182,plain,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3040]) ).
cnf(c_0_4183,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3041]) ).
cnf(c_0_4184,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3042]) ).
cnf(c_0_4185,plain,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3043]) ).
cnf(c_0_4186,plain,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3044]) ).
cnf(c_0_4187,plain,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3045]) ).
cnf(c_0_4188,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3046]) ).
cnf(c_0_4189,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3047]) ).
cnf(c_0_4190,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3048]) ).
cnf(c_0_4191,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3049]) ).
cnf(c_0_4192,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3050]) ).
cnf(c_0_4193,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3051]) ).
cnf(c_0_4194,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3052]) ).
cnf(c_0_4195,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3053]) ).
cnf(c_0_4196,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3054]) ).
cnf(c_0_4197,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3055]) ).
cnf(c_0_4198,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3056]) ).
cnf(c_0_4199,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3057]) ).
cnf(c_0_4200,plain,
( class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3058]) ).
cnf(c_0_4201,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3059]) ).
cnf(c_0_4202,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3060]) ).
cnf(c_0_4203,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3061]) ).
cnf(c_0_4204,plain,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3062]) ).
cnf(c_0_4205,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3063]) ).
cnf(c_0_4206,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3064]) ).
cnf(c_0_4207,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3065]) ).
cnf(c_0_4208,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3066]) ).
cnf(c_0_4209,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3067]) ).
cnf(c_0_4210,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3068]) ).
cnf(c_0_4211,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3069]) ).
cnf(c_0_4212,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3070]) ).
cnf(c_0_4213,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3071]) ).
cnf(c_0_4214,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3072]) ).
cnf(c_0_4215,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3073]) ).
cnf(c_0_4216,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3074]) ).
cnf(c_0_4217,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3075]) ).
cnf(c_0_4218,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3076]) ).
cnf(c_0_4219,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3077]) ).
cnf(c_0_4220,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3078]) ).
cnf(c_0_4221,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3079]) ).
cnf(c_0_4222,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3080]) ).
cnf(c_0_4223,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3081]) ).
cnf(c_0_4224,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3082]) ).
cnf(c_0_4225,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3083]) ).
cnf(c_0_4226,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3084]) ).
cnf(c_0_4227,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3085]) ).
cnf(c_0_4228,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3086]) ).
cnf(c_0_4229,plain,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3087]) ).
cnf(c_0_4230,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3088]) ).
cnf(c_0_4231,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3089]) ).
cnf(c_0_4232,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3090]) ).
cnf(c_0_4233,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3091]) ).
cnf(c_0_4234,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3092]) ).
cnf(c_0_4235,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3093]) ).
cnf(c_0_4236,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3094]) ).
cnf(c_0_4237,plain,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3095]) ).
cnf(c_0_4238,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3096]) ).
cnf(c_0_4239,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3097]) ).
cnf(c_0_4240,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3098]) ).
cnf(c_0_4241,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3099]) ).
cnf(c_0_4242,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3100]) ).
cnf(c_0_4243,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3101]) ).
cnf(c_0_4244,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3102]) ).
cnf(c_0_4245,plain,
( class_Ring__and__Field_Oaxclass__abs__if(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3103]) ).
cnf(c_0_4246,plain,
( class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3104]) ).
cnf(c_0_4247,plain,
( class_Ring__and__Field_Olordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3105]) ).
cnf(c_0_4248,plain,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3106]) ).
cnf(c_0_4249,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3107]) ).
cnf(c_0_4250,plain,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3108]) ).
cnf(c_0_4251,plain,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3109]) ).
cnf(c_0_4252,plain,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3110]) ).
cnf(c_0_4253,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3111]) ).
cnf(c_0_4254,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3112]) ).
cnf(c_0_4255,plain,
( class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3113]) ).
cnf(c_0_4256,plain,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3114]) ).
cnf(c_0_4257,plain,
( class_Ring__and__Field_Oidom(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3115]) ).
cnf(c_0_4258,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3116]) ).
cnf(c_0_4259,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3117]) ).
cnf(c_0_4260,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3118]) ).
cnf(c_0_4261,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3119]) ).
cnf(c_0_4262,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3120]) ).
cnf(c_0_4263,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3121]) ).
cnf(c_0_4264,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3122]) ).
cnf(c_0_4265,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3123]) ).
cnf(c_0_4266,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3124]) ).
cnf(c_0_4267,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3125]) ).
cnf(c_0_4268,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3126]) ).
cnf(c_0_4269,plain,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3127]) ).
cnf(c_0_4270,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3128]) ).
cnf(c_0_4271,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3129]) ).
cnf(c_0_4272,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3130]) ).
cnf(c_0_4273,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3131]) ).
cnf(c_0_4274,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3132]) ).
cnf(c_0_4275,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3133]) ).
cnf(c_0_4276,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3134]) ).
cnf(c_0_4277,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3135]) ).
cnf(c_0_4278,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3136]) ).
cnf(c_0_4279,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3137]) ).
cnf(c_0_4280,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3138]) ).
cnf(c_0_4281,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3139]) ).
cnf(c_0_4282,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3140]) ).
cnf(c_0_4283,plain,
( class_Ring__and__Field_Oaxclass__abs__if(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3141]) ).
cnf(c_0_4284,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3142]) ).
cnf(c_0_4285,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3143]) ).
cnf(c_0_4286,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3144]) ).
cnf(c_0_4287,plain,
( class_Ring__and__Field_Olordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3145]) ).
cnf(c_0_4288,plain,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3146]) ).
cnf(c_0_4289,plain,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3147]) ).
cnf(c_0_4290,plain,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3148]) ).
cnf(c_0_4291,plain,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3149]) ).
cnf(c_0_4292,plain,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3150]) ).
cnf(c_0_4293,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3151]) ).
cnf(c_0_4294,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3152]) ).
cnf(c_0_4295,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3153]) ).
cnf(c_0_4296,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3154]) ).
cnf(c_0_4297,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3155]) ).
cnf(c_0_4298,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3156]) ).
cnf(c_0_4299,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3157]) ).
cnf(c_0_4300,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3158]) ).
cnf(c_0_4301,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3159]) ).
cnf(c_0_4302,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3160]) ).
cnf(c_0_4303,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3161]) ).
cnf(c_0_4304,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3162]) ).
cnf(c_0_4305,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3163]) ).
cnf(c_0_4306,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3164]) ).
cnf(c_0_4307,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3165]) ).
cnf(c_0_4308,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3166]) ).
cnf(c_0_4309,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3167]) ).
cnf(c_0_4310,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3168]) ).
cnf(c_0_4311,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3169]) ).
cnf(c_0_4312,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3170]) ).
cnf(c_0_4313,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3171]) ).
cnf(c_0_4314,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3172]) ).
cnf(c_0_4315,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3173]) ).
cnf(c_0_4316,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3174]) ).
cnf(c_0_4317,plain,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3175]) ).
cnf(c_0_4318,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3176]) ).
cnf(c_0_4319,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3177]) ).
cnf(c_0_4320,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3178]) ).
cnf(c_0_4321,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3179]) ).
cnf(c_0_4322,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3180]) ).
cnf(c_0_4323,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3181]) ).
cnf(c_0_4324,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3182]) ).
cnf(c_0_4325,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3183]) ).
cnf(c_0_4326,plain,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3184]) ).
cnf(c_0_4327,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3185]) ).
cnf(c_0_4328,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3186]) ).
cnf(c_0_4329,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3187]) ).
cnf(c_0_4330,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3188]) ).
cnf(c_0_4331,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3189]) ).
cnf(c_0_4332,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3190]) ).
cnf(c_0_4333,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3191]) ).
cnf(c_0_4334,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3192]) ).
cnf(c_0_4335,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3193]) ).
cnf(c_0_4336,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3194]) ).
cnf(c_0_4337,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3195]) ).
cnf(c_0_4338,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3196]) ).
cnf(c_0_4339,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3197]) ).
cnf(c_0_4340,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3198]) ).
cnf(c_0_4341,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3199]) ).
cnf(c_0_4342,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3200]) ).
cnf(c_0_4343,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3201]) ).
cnf(c_0_4344,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3202]) ).
cnf(c_0_4345,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3203]) ).
cnf(c_0_4346,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3204]) ).
cnf(c_0_4347,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3205]) ).
cnf(c_0_4348,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3206]) ).
cnf(c_0_4349,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3207]) ).
cnf(c_0_4350,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3208]) ).
cnf(c_0_4351,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3209]) ).
cnf(c_0_4352,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3210]) ).
cnf(c_0_4353,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3211]) ).
cnf(c_0_4354,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3212]) ).
cnf(c_0_4355,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3213]) ).
cnf(c_0_4356,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3214]) ).
cnf(c_0_4357,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3215]) ).
cnf(c_0_4358,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3216]) ).
cnf(c_0_4359,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3217]) ).
cnf(c_0_4360,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3218]) ).
cnf(c_0_4361,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3219]) ).
cnf(c_0_4362,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3220]) ).
cnf(c_0_4363,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3221]) ).
cnf(c_0_4364,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3222]) ).
cnf(c_0_4365,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3223]) ).
cnf(c_0_4366,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3224]) ).
cnf(c_0_4367,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3225]) ).
cnf(c_0_4368,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3226]) ).
cnf(c_0_4369,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3227]) ).
cnf(c_0_4370,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3228]) ).
cnf(c_0_4371,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3229]) ).
cnf(c_0_4372,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3230]) ).
cnf(c_0_4373,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3231]) ).
cnf(c_0_4374,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3232]) ).
cnf(c_0_4375,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3233]) ).
cnf(c_0_4376,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3234]) ).
cnf(c_0_4377,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3235]) ).
cnf(c_0_4378,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3236]) ).
cnf(c_0_4379,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3237]) ).
cnf(c_0_4380,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3238]) ).
cnf(c_0_4381,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3239]) ).
cnf(c_0_4382,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3240]) ).
cnf(c_0_4383,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3241]) ).
cnf(c_0_4384,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3242]) ).
cnf(c_0_4385,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3243]) ).
cnf(c_0_4386,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3244]) ).
cnf(c_0_4387,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3245]) ).
cnf(c_0_4388,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3246]) ).
cnf(c_0_4389,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3247]) ).
cnf(c_0_4390,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3248]) ).
cnf(c_0_4391,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3249]) ).
cnf(c_0_4392,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3250]) ).
cnf(c_0_4393,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3251]) ).
cnf(c_0_4394,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3252]) ).
cnf(c_0_4395,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3253]) ).
cnf(c_0_4396,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3254]) ).
cnf(c_0_4397,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3255]) ).
cnf(c_0_4398,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3256]) ).
cnf(c_0_4399,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3257]) ).
cnf(c_0_4400,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3258]) ).
cnf(c_0_4401,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3259]) ).
cnf(c_0_4402,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3260]) ).
cnf(c_0_4403,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3261]) ).
cnf(c_0_4404,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3262]) ).
cnf(c_0_4405,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3263]) ).
cnf(c_0_4406,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3264]) ).
cnf(c_0_4407,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3265]) ).
cnf(c_0_4408,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3266]) ).
cnf(c_0_4409,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3267]) ).
cnf(c_0_4410,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3268]) ).
cnf(c_0_4411,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3269]) ).
cnf(c_0_4412,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3270]) ).
cnf(c_0_4413,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3271]) ).
cnf(c_0_4414,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3272]) ).
cnf(c_0_4415,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3273]) ).
cnf(c_0_4416,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3274]) ).
cnf(c_0_4417,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3275]) ).
cnf(c_0_4418,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3276]) ).
cnf(c_0_4419,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3277]) ).
cnf(c_0_4420,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3278]) ).
cnf(c_0_4421,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3279]) ).
cnf(c_0_4422,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3280]) ).
cnf(c_0_4423,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3281]) ).
cnf(c_0_4424,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3282]) ).
cnf(c_0_4425,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3283]) ).
cnf(c_0_4426,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3284]) ).
cnf(c_0_4427,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3285]) ).
cnf(c_0_4428,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3286]) ).
cnf(c_0_4429,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3287]) ).
cnf(c_0_4430,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3288]) ).
cnf(c_0_4431,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3289]) ).
cnf(c_0_4432,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3290]) ).
cnf(c_0_4433,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3291]) ).
cnf(c_0_4434,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3292]) ).
cnf(c_0_4435,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3293]) ).
cnf(c_0_4436,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3294]) ).
cnf(c_0_4437,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3295]) ).
cnf(c_0_4438,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3296]) ).
cnf(c_0_4439,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3297]) ).
cnf(c_0_4440,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3298]) ).
cnf(c_0_4441,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3299]) ).
cnf(c_0_4442,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3300]) ).
cnf(c_0_4443,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3301]) ).
cnf(c_0_4444,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3302]) ).
cnf(c_0_4445,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3303]) ).
cnf(c_0_4446,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3304]) ).
cnf(c_0_4447,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3305]) ).
cnf(c_0_4448,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3306]) ).
cnf(c_0_4449,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3307]) ).
cnf(c_0_4450,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3308]) ).
cnf(c_0_4451,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3309]) ).
cnf(c_0_4452,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3310]) ).
cnf(c_0_4453,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3311]) ).
cnf(c_0_4454,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3312]) ).
cnf(c_0_4455,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3313]) ).
cnf(c_0_4456,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3314]) ).
cnf(c_0_4457,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3315]) ).
cnf(c_0_4458,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3316]) ).
cnf(c_0_4459,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3317]) ).
cnf(c_0_4460,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3318]) ).
cnf(c_0_4461,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3319]) ).
cnf(c_0_4462,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3320]) ).
cnf(c_0_4463,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3321]) ).
cnf(c_0_4464,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3322]) ).
cnf(c_0_4465,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3323]) ).
cnf(c_0_4466,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3324]) ).
cnf(c_0_4467,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3325]) ).
cnf(c_0_4468,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3326]) ).
cnf(c_0_4469,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3327]) ).
cnf(c_0_4470,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3328]) ).
cnf(c_0_4471,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3329]) ).
cnf(c_0_4472,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3330]) ).
cnf(c_0_4473,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3331]) ).
cnf(c_0_4474,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3332]) ).
cnf(c_0_4475,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3333]) ).
cnf(c_0_4476,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3334]) ).
cnf(c_0_4477,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3335]) ).
cnf(c_0_4478,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3336]) ).
cnf(c_0_4479,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3337]) ).
cnf(c_0_4480,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3338]) ).
cnf(c_0_4481,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3339]) ).
cnf(c_0_4482,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3340]) ).
cnf(c_0_4483,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3341]) ).
cnf(c_0_4484,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3342]) ).
cnf(c_0_4485,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3343]) ).
cnf(c_0_4486,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3344]) ).
cnf(c_0_4487,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3345]) ).
cnf(c_0_4488,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3346]) ).
cnf(c_0_4489,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3347]) ).
cnf(c_0_4490,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3348]) ).
cnf(c_0_4491,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3349]) ).
cnf(c_0_4492,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3350]) ).
cnf(c_0_4493,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3351]) ).
cnf(c_0_4494,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3352]) ).
cnf(c_0_4495,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3353]) ).
cnf(c_0_4496,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3354]) ).
cnf(c_0_4497,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3355]) ).
cnf(c_0_4498,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3356]) ).
cnf(c_0_4499,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3357]) ).
cnf(c_0_4500,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3358]) ).
cnf(c_0_4501,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3359]) ).
cnf(c_0_4502,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3360]) ).
cnf(c_0_4503,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3361]) ).
cnf(c_0_4504,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3362]) ).
cnf(c_0_4505,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3363]) ).
cnf(c_0_4506,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3364]) ).
cnf(c_0_4507,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3365]) ).
cnf(c_0_4508,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3366]) ).
cnf(c_0_4509,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3367]) ).
cnf(c_0_4510,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3368]) ).
cnf(c_0_4511,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3369]) ).
cnf(c_0_4512,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3370]) ).
cnf(c_0_4513,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3371]) ).
cnf(c_0_4514,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3372]) ).
cnf(c_0_4515,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3373]) ).
cnf(c_0_4516,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3374]) ).
cnf(c_0_4517,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3375]) ).
cnf(c_0_4518,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3376]) ).
cnf(c_0_4519,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3377]) ).
cnf(c_0_4520,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3378]) ).
cnf(c_0_4521,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3379]) ).
cnf(c_0_4522,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3380]) ).
cnf(c_0_4523,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3381]) ).
cnf(c_0_4524,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3382]) ).
cnf(c_0_4525,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3383]) ).
cnf(c_0_4526,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3384]) ).
cnf(c_0_4527,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3385]) ).
cnf(c_0_4528,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3386]) ).
cnf(c_0_4529,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3387]) ).
cnf(c_0_4530,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3388]) ).
cnf(c_0_4531,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3389]) ).
cnf(c_0_4532,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3390]) ).
cnf(c_0_4533,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3391]) ).
cnf(c_0_4534,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3392]) ).
cnf(c_0_4535,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3393]) ).
cnf(c_0_4536,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3394]) ).
cnf(c_0_4537,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3395]) ).
cnf(c_0_4538,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3396]) ).
cnf(c_0_4539,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3397]) ).
cnf(c_0_4540,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3398]) ).
cnf(c_0_4541,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3399]) ).
cnf(c_0_4542,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3400]) ).
cnf(c_0_4543,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3401]) ).
cnf(c_0_4544,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3402]) ).
cnf(c_0_4545,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3403]) ).
cnf(c_0_4546,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3404]) ).
cnf(c_0_4547,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3405]) ).
cnf(c_0_4548,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3406]) ).
cnf(c_0_4549,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3407]) ).
cnf(c_0_4550,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3408]) ).
cnf(c_0_4551,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3409]) ).
cnf(c_0_4552,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3410]) ).
cnf(c_0_4553,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3411]) ).
cnf(c_0_4554,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3412]) ).
cnf(c_0_4555,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3413]) ).
cnf(c_0_4556,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3414]) ).
cnf(c_0_4557,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3415]) ).
cnf(c_0_4558,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3416]) ).
cnf(c_0_4559,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3417]) ).
cnf(c_0_4560,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3418]) ).
cnf(c_0_4561,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3419]) ).
cnf(c_0_4562,plain,
( class_Orderings_Oord(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3420]) ).
cnf(c_0_4563,plain,
( class_Orderings_Oorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3421]) ).
cnf(c_0_4564,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3422]) ).
cnf(c_0_4565,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3423]) ).
cnf(c_0_4566,plain,
( class_LOrder_Olorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3424]) ).
cnf(c_0_4567,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3425]) ).
cnf(c_0_4568,plain,
( c_in(c_Pair(c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__3(X1,X2,X3,X4,X5,X6),X4,X5),X1,tc_prod(X4,X5))
| ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
c_0_3426,
[final] ).
cnf(c_0_4569,plain,
( c_in(c_Pair(c_Main_Orel__compE__1(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X6,X4),X2,tc_prod(X6,X4))
| ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
c_0_3427,
[final] ).
cnf(c_0_4570,plain,
( c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X6,X5) = X1
| ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
c_0_3428,
[final] ).
cnf(c_0_4571,plain,
( c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__2(X1,X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = X1
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
c_0_3429,
[final] ).
cnf(c_0_4572,plain,
( c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
c_0_3430,
[final] ).
cnf(c_0_4573,plain,
( c_in(c_Pair(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__3(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
c_0_3431,
[final] ).
cnf(c_0_4574,plain,
( c_in(c_Pair(c_Main_OdsumE__3(X1,X2,X3,X4),c_Main_OdsumE__4(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X2,X3,X4),c_Main_OdsumE__2(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X2,c_Datatype__Universe_Odsum(X5,X1,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
c_0_3432,
[final] ).
cnf(c_0_4575,plain,
( c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| c_in(c_Pair(c_Main_OdsumE__3(X5,X1,X3,X4),c_Main_OdsumE__4(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
c_0_3433,
[final] ).
cnf(c_0_4576,plain,
( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| c_in(c_Pair(c_Main_OdsumE__1(X5,X1,X3,X4),c_Main_OdsumE__2(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
c_0_3434,
[final] ).
cnf(c_0_4577,plain,
( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X2,X3,X4,X1,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
c_0_3435,
[final] ).
cnf(c_0_4578,plain,
( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X1,X2,X3,X4,X5),X4,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
c_0_3436,
[final] ).
cnf(c_0_4579,plain,
( c_in(c_Pair(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_OScons(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X7,X8,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
c_0_3437,
[final] ).
cnf(c_0_4580,plain,
( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X2,X3,X1,X4,X5),X5,X5),X2,tc_prod(X5,X5))
| ~ c_in(c_Pair(c_List_Olist_OCons(X1,X4,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
c_0_3438,
[final] ).
cnf(c_0_4581,plain,
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X1,X2,X3,X4,X5),X3,X5,X5),X1,tc_prod(X5,X5))
| ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
c_0_3439,
[final] ).
cnf(c_0_4582,plain,
( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
c_0_3440,
[final] ).
cnf(c_0_4583,plain,
( c_in(c_Pair(c_Main_OImageE__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
| ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
c_0_3441,
[final] ).
cnf(c_0_4584,plain,
( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons1__2(X2,X1,X3,X4,X5),X5) = X1
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X4,X5),X1,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
c_0_3442,
[final] ).
cnf(c_0_4585,plain,
( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons2__2(X2,X1,X3,X4,X5),X5) = X1
| ~ c_in(c_Pair(X1,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
c_0_3443,
[final] ).
cnf(c_0_4586,plain,
( c_Datatype__Universe_OScons(c_Main_OuprodE__1(X2,X3,X1,X4,X5),c_Main_OuprodE__2(X2,X3,X1,X4,X5),X4,X5) = X1
| ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
c_0_3444,
[final] ).
cnf(c_0_4587,plain,
( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X7,X4,X3),tc_prod(X3,X4))
| ~ c_in(c_Pair(X1,X8,X3,X7),X6,tc_prod(X3,X7))
| ~ c_in(c_Pair(X8,X2,X7,X4),X5,tc_prod(X7,X4)) ),
c_0_3445,
[final] ).
cnf(c_0_4588,plain,
( c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
c_0_3446,
[final] ).
cnf(c_0_4589,plain,
( c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
c_0_3447,
[final] ).
cnf(c_0_4590,plain,
( c_in(c_Main_OuprodE__2(X1,X2,X3,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
c_0_3448,
[final] ).
cnf(c_0_4591,plain,
( c_in(c_Main_OuprodE__1(X1,X2,X3,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
c_0_3449,
[final] ).
cnf(c_0_4592,plain,
( c_in(c_Main_OImageE__1(X1,X2,X3,X4,X5),X1,X4)
| ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
c_0_3450,
[final] ).
cnf(c_0_4593,plain,
( c_in(c_Pair(c_Main_OconverseE__1(X1,X2,X3,X4),c_Main_OconverseE__2(X1,X2,X3,X4),X3,X4),X1,tc_prod(X3,X4))
| ~ c_in(X2,c_Relation_Oconverse(X1,X3,X4),tc_prod(X4,X3)) ),
c_0_3451,
[final] ).
cnf(c_0_4594,plain,
( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
c_0_3452,
[final] ).
cnf(c_0_4595,plain,
( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
c_0_3453,
[final] ).
cnf(c_0_4596,plain,
( c_in(c_Main_OusumE__2(X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__1(X5,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X2,c_Datatype__Universe_Ousum(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
c_0_3454,
[final] ).
cnf(c_0_4597,plain,
( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X3,X4),X3,X4) = X1
| c_in(c_Main_OusumE__2(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
c_0_3455,
[final] ).
cnf(c_0_4598,plain,
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
| c_in(c_Main_OusumE__1(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
c_0_3456,
[final] ).
cnf(c_0_4599,plain,
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X5,X1,X3,X4),X3,X4) = X1
| ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
c_0_3457,
[final] ).
cnf(c_0_4600,plain,
( c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
| c_Sum__Type_OInl(c_Main_OPlusE__1(X5,X1,X4,X3),X4,X3) = X1
| ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
c_0_3458,
[final] ).
cnf(c_0_4601,plain,
( c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4) = X1
| c_in(c_Main_OPlusE__2(X5,X1,X4,X3),X5,X4)
| ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4)) ),
c_0_3459,
[final] ).
cnf(c_0_4602,plain,
( c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
| c_in(c_Main_OPlusE__1(X5,X1,X4,X3),X5,X4)
| ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
c_0_3460,
[final] ).
cnf(c_0_4603,plain,
( c_in(c_Main_OPlusE__2(X1,X2,X3,X4),X1,X3)
| c_in(c_Main_OPlusE__1(X5,X2,X4,X3),X5,X4)
| ~ c_in(X2,c_Sum__Type_OPlus(X5,X1,X4,X3),tc_sum(X4,X3)) ),
c_0_3461,
[final] ).
cnf(c_0_4604,plain,
( c_Wellfounded__Recursion_Oacyclic(X1,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
c_0_3462,
[final] ).
cnf(c_0_4605,plain,
( c_Wellfounded__Recursion_Owf(X1,X2)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
c_0_3463,
[final] ).
cnf(c_0_4606,plain,
( c_in(c_Pair(X1,c_Main_ODomainE__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
| ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
c_0_3464,
[final] ).
cnf(c_0_4607,plain,
( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
| ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
c_0_3465,
[final] ).
cnf(c_0_4608,plain,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| ~ c_Wellfounded__Recursion_Oacyclic(X4,X3) ),
c_0_3466,
[final] ).
cnf(c_0_4609,plain,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| ~ c_Wellfounded__Recursion_Owf(X4,X3) ),
c_0_3467,
[final] ).
cnf(c_0_4610,plain,
( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
| ~ c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4) ),
c_0_3468,
[final] ).
cnf(c_0_4611,plain,
( c_Divides_Oop_Advd(X1,X2,tc_nat)
| ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
c_0_3469,
[final] ).
cnf(c_0_4612,plain,
( c_Divides_Oop_Advd(X1,X2,tc_nat)
| ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat) ),
c_0_3470,
[final] ).
cnf(c_0_4613,plain,
( c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5)
| ~ c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5)) ),
c_0_3471,
[final] ).
cnf(c_0_4614,plain,
( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
| ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
c_0_3472,
[final] ).
cnf(c_0_4615,plain,
( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
| ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
c_0_3473,
[final] ).
cnf(c_0_4616,plain,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
c_0_3474,
[final] ).
cnf(c_0_4617,plain,
( c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
| ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
| ~ c_in(X6,X3,X4) ),
c_0_3475,
[final] ).
cnf(c_0_4618,plain,
( c_Pair(c_Main_OconverseE__2(X2,X1,X3,X4),c_Main_OconverseE__1(X2,X1,X3,X4),X4,X3) = X1
| ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)) ),
c_0_3476,
[final] ).
cnf(c_0_4619,plain,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
c_0_3477,
[final] ).
cnf(c_0_4620,plain,
( c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
c_0_3478,
[final] ).
cnf(c_0_4621,plain,
( c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
| ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
| ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
c_0_3479,
[final] ).
cnf(c_0_4622,plain,
( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
| ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
c_0_3480,
[final] ).
cnf(c_0_4623,plain,
( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
| ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
c_0_3481,
[final] ).
cnf(c_0_4624,plain,
( X1 = c_List_Olist_ONil
| ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
c_0_3482,
[final] ).
cnf(c_0_4625,plain,
( X1 = c_List_Olist_ONil
| ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
c_0_3483,
[final] ).
cnf(c_0_4626,plain,
( c_less(X1,X2,tc_nat)
| ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
c_0_3484,
[final] ).
cnf(c_0_4627,plain,
( X1 = X2
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
c_0_3485,
[final] ).
cnf(c_0_4628,plain,
( c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
c_0_3486,
[final] ).
cnf(c_0_4629,plain,
( c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
c_0_3487,
[final] ).
cnf(c_0_4630,plain,
( c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
c_0_3488,
[final] ).
cnf(c_0_4631,plain,
( X1 = X2
| c_Datatype__Universe_OScons(X1,X3,X4,X5) != c_Datatype__Universe_OScons(X2,X6,X4,X5) ),
c_0_3489,
[final] ).
cnf(c_0_4632,plain,
( X1 = X2
| c_Datatype__Universe_OScons(X3,X1,X4,X5) != c_Datatype__Universe_OScons(X6,X2,X4,X5) ),
c_0_3490,
[final] ).
cnf(c_0_4633,plain,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
c_0_3491,
[final] ).
cnf(c_0_4634,plain,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
c_0_3492,
[final] ).
cnf(c_0_4635,plain,
( c_in(c_Sum__Type_OInl(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X2,X3),tc_sum(X2,X3))
| ~ c_in(X1,X4,X2) ),
c_0_3493,
[final] ).
cnf(c_0_4636,plain,
( c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X3,X2),tc_sum(X3,X2))
| ~ c_in(X1,X5,X2) ),
c_0_3494,
[final] ).
cnf(c_0_4637,plain,
( c_in(c_Pair(X1,X1,X2,X2),c_Relation_Odiag(X3,X2),tc_prod(X2,X2))
| ~ c_in(X1,X3,X2) ),
c_0_3495,
[final] ).
cnf(c_0_4638,plain,
( c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
| ~ c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
c_0_3496,
[final] ).
cnf(c_0_4639,plain,
( c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| ~ c_less(X1,X2,tc_nat) ),
c_0_3497,
[final] ).
cnf(c_0_4640,plain,
( c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3) = X1
| ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)) ),
c_0_3498,
[final] ).
cnf(c_0_4641,plain,
( X1 = X2
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
c_0_3499,
[final] ).
cnf(c_0_4642,plain,
( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
| ~ c_Relation_Otrans(X1,X3)
| ~ c_Relation_Otrans(X2,X4) ),
c_0_3500,
[final] ).
cnf(c_0_4643,plain,
( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
| ~ c_Wellfounded__Recursion_Owf(X1,X3)
| ~ c_Wellfounded__Recursion_Owf(X2,X4) ),
c_0_3501,
[final] ).
cnf(c_0_4644,plain,
( X1 = X2
| c_append(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil,X4),X4) != c_append(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil,X4),X4) ),
c_0_3502,
[final] ).
cnf(c_0_4645,plain,
( X1 = X2
| c_append(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil,X4),X4) != c_append(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil,X4),X4) ),
c_0_3503,
[final] ).
cnf(c_0_4646,plain,
( c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
c_0_3504,
[final] ).
cnf(c_0_4647,plain,
( c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
| ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
c_0_3505,
[final] ).
cnf(c_0_4648,plain,
( c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2) = X1
| ~ c_in(X1,c_Relation_OId,tc_prod(X2,X2)) ),
c_0_3506,
[final] ).
cnf(c_0_4649,plain,
( c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X1,X4,X3) ),
c_0_3507,
[final] ).
cnf(c_0_4650,plain,
( c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
c_0_3508,
[final] ).
cnf(c_0_4651,plain,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_append(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
c_0_3509,
[final] ).
cnf(c_0_4652,plain,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
c_0_3510,
[final] ).
cnf(c_0_4653,plain,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Olist_OCons(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
c_0_3511,
[final] ).
cnf(c_0_4654,plain,
( c_insert(X1,X2,X3) = c_insert(X1,c_emptyset,X3)
| ~ c_lessequals(X2,c_insert(X1,c_emptyset,X3),tc_set(X3)) ),
c_0_3512,
[final] ).
cnf(c_0_4655,plain,
( c_insert(X1,c_emptyset,X2) = c_insert(X1,X3,X2)
| ~ c_lessequals(X3,c_insert(X1,c_emptyset,X2),tc_set(X2)) ),
c_0_3513,
[final] ).
cnf(c_0_4656,plain,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_union(X2,X4,X3),X3) ),
c_0_3514,
[final] ).
cnf(c_0_4657,plain,
( ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
| ~ c_in(X1,X3,X4) ),
c_0_3515,
[final] ).
cnf(c_0_4658,plain,
( c_in(X1,X2,X3)
| ~ c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
c_0_3516,
[final] ).
cnf(c_0_4659,plain,
( c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
c_0_3517,
[final] ).
cnf(c_0_4660,plain,
( c_less(c_0,X1,tc_nat)
| c_less(c_0,X2,tc_nat)
| ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
c_0_3518,
[final] ).
cnf(c_0_4661,plain,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(X2,X1,X3),X2,X3) ),
c_0_3519,
[final] ).
cnf(c_0_4662,plain,
( c_in(X1,c_Inter(X2,X3),X3)
| ~ c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3) ),
c_0_3520,
[final] ).
cnf(c_0_4663,plain,
( c_in(X1,c_inter(X2,X3,X4),X4)
| ~ c_in(X1,X2,X4)
| ~ c_in(X1,X3,X4) ),
c_0_3521,
[final] ).
cnf(c_0_4664,plain,
( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
| c_insert(X4,X1,X3) != c_insert(X2,c_emptyset,X3) ),
c_0_3522,
[final] ).
cnf(c_0_4665,plain,
( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
| c_insert(X2,c_emptyset,X3) != c_insert(X4,X1,X3) ),
c_0_3523,
[final] ).
cnf(c_0_4666,plain,
( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
c_0_3524,
[final] ).
cnf(c_0_4667,plain,
( c_in(c_Main_OdiagE__1(X1,X2,X3),X1,X3)
| ~ c_in(X2,c_Relation_Odiag(X1,X3),tc_prod(X3,X3)) ),
c_0_3525,
[final] ).
cnf(c_0_4668,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_minus(X2,X4,tc_set(X3)),X3) ),
c_0_3526,
[final] ).
cnf(c_0_4669,plain,
( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
c_0_3527,
[final] ).
cnf(c_0_4670,plain,
( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
c_0_3528,
[final] ).
cnf(c_0_4671,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_List_Oset(X4,X3),X3)
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
c_0_3529,
[final] ).
cnf(c_0_4672,plain,
( c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
c_0_3530,
[final] ).
cnf(c_0_4673,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
c_0_3531,
[final] ).
cnf(c_0_4674,plain,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
c_0_3532,
[final] ).
cnf(c_0_4675,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X4,X2,X3),X3) ),
c_0_3533,
[final] ).
cnf(c_0_4676,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X2,X4,X3),X3) ),
c_0_3534,
[final] ).
cnf(c_0_4677,plain,
( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
| ~ c_in(X1,c_Union(X2,X3),X3) ),
c_0_3535,
[final] ).
cnf(c_0_4678,plain,
( X1 = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
c_0_3536,
[final] ).
cnf(c_0_4679,plain,
( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) ),
c_0_3537,
[final] ).
cnf(c_0_4680,plain,
( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
c_0_3538,
[final] ).
cnf(c_0_4681,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_Inter(X4,X3),X3)
| ~ c_in(X2,X4,tc_set(X3)) ),
c_0_3539,
[final] ).
cnf(c_0_4682,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3)) ),
c_0_3540,
[final] ).
cnf(c_0_4683,plain,
( c_in(c_Main_Oin__listsI__1(X1,X2,X3),c_List_Oset(X2,X3),X3)
| c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3)) ),
c_0_3541,
[final] ).
cnf(c_0_4684,plain,
( c_in(X1,c_Union(X2,X3),X3)
| ~ c_in(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
c_0_3542,
[final] ).
cnf(c_0_4685,plain,
( c_in(c_insert(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
c_0_3543,
[final] ).
cnf(c_0_4686,plain,
( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) ),
c_0_3544,
[final] ).
cnf(c_0_4687,plain,
( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
c_0_3545,
[final] ).
cnf(c_0_4688,plain,
( X1 = X2
| ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
c_0_3546,
[final] ).
cnf(c_0_4689,plain,
( c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3))
| c_in(X1,c_Inter(X2,X3),X3) ),
c_0_3547,
[final] ).
cnf(c_0_4690,plain,
( c_in(X1,c_union(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
c_0_3548,
[final] ).
cnf(c_0_4691,plain,
( c_in(X1,c_union(X2,X3,X4),X4)
| ~ c_in(X1,X2,X4) ),
c_0_3549,
[final] ).
cnf(c_0_4692,plain,
( c_in(X1,c_insert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
c_0_3550,
[final] ).
cnf(c_0_4693,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OatLeast(X2,X3),c_SetInterval_OatLeast(X1,X3),tc_set(X3))
| ~ class_Orderings_Oorder(X3) ),
c_0_3551,
[final] ).
cnf(c_0_4694,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OatMost(X1,X3),c_SetInterval_OatMost(X2,X3),tc_set(X3))
| ~ class_Orderings_Oorder(X3) ),
c_0_3552,
[final] ).
cnf(c_0_4695,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X3),c_SetInterval_OgreaterThan(X1,X3),tc_set(X3))
| ~ class_Orderings_Olinorder(X3) ),
c_0_3553,
[final] ).
cnf(c_0_4696,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OlessThan(X1,X3),c_SetInterval_OlessThan(X2,X3),tc_set(X3))
| ~ class_Orderings_Olinorder(X3) ),
c_0_3554,
[final] ).
cnf(c_0_4697,plain,
( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
| ~ c_less(c_0,X1,tc_nat) ),
c_0_3555,
[final] ).
cnf(c_0_4698,plain,
( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
| ~ c_less(c_0,X2,tc_nat) ),
c_0_3556,
[final] ).
cnf(c_0_4699,plain,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
c_0_3557,
[final] ).
cnf(c_0_4700,plain,
( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
| ~ c_in(X1,X2,tc_prod(X3,X3)) ),
c_0_3558,
[final] ).
cnf(c_0_4701,plain,
( c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2)) ),
c_0_3559,
[final] ).
cnf(c_0_4702,plain,
( ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| ~ c_in(X1,X2,X3) ),
c_0_3560,
[final] ).
cnf(c_0_4703,plain,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
c_0_3561,
[final] ).
cnf(c_0_4704,plain,
( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
c_0_3562,
[final] ).
cnf(c_0_4705,plain,
( c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X3,X2),tc_set(X2))
| ~ c_lessequals(X3,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_3563,
[final] ).
cnf(c_0_4706,plain,
( c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X3,X2),tc_set(X2))
| ~ c_lessequals(X1,X3,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_3564,
[final] ).
cnf(c_0_4707,plain,
( c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X3,X2),tc_set(X2))
| ~ c_lessequals(X3,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_3565,
[final] ).
cnf(c_0_4708,plain,
( c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X3,X2),tc_set(X2))
| ~ c_lessequals(X1,X3,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_3566,
[final] ).
cnf(c_0_4709,plain,
( c_Wellfounded__Recursion_Oacyclic(X1,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
c_0_3567,
[final] ).
cnf(c_0_4710,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
c_0_3568,
[final] ).
cnf(c_0_4711,plain,
( X1 = X2
| ~ c_in(X2,X3,X4)
| ~ c_in(X1,X3,X4)
| ~ c_Infinite__Set_Oatmost__one(X3,X4) ),
c_0_3569,
[final] ).
cnf(c_0_4712,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
c_0_3570,
[final] ).
cnf(c_0_4713,plain,
( ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_less(X2,X1,tc_set(X3)) ),
c_0_3571,
[final] ).
cnf(c_0_4714,plain,
( c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
c_0_3572,
[final] ).
cnf(c_0_4715,plain,
( c_lessequals(X1,X2,X3)
| ~ c_in(X2,c_SetInterval_OatLeast(X1,X3),X3)
| ~ class_Orderings_Oord(X3) ),
c_0_3573,
[final] ).
cnf(c_0_4716,plain,
( c_lessequals(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
| ~ class_Orderings_Oord(X3) ),
c_0_3574,
[final] ).
cnf(c_0_4717,plain,
( c_less(X1,X2,X3)
| ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X3),X3)
| ~ class_Orderings_Oord(X3) ),
c_0_3575,
[final] ).
cnf(c_0_4718,plain,
( c_less(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
| ~ class_Orderings_Oord(X3) ),
c_0_3576,
[final] ).
cnf(c_0_4719,plain,
( c_in(X1,c_Pow(X2,X3),tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
c_0_3577,
[final] ).
cnf(c_0_4720,plain,
( c_in(X1,c_SetInterval_OatLeast(X2,X3),X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oord(X3) ),
c_0_3578,
[final] ).
cnf(c_0_4721,plain,
( c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oord(X3) ),
c_0_3579,
[final] ).
cnf(c_0_4722,plain,
( c_in(X1,c_SetInterval_OgreaterThan(X2,X3),X3)
| ~ c_less(X2,X1,X3)
| ~ class_Orderings_Oord(X3) ),
c_0_3580,
[final] ).
cnf(c_0_4723,plain,
( c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
| ~ c_less(X1,X2,X3)
| ~ class_Orderings_Oord(X3) ),
c_0_3581,
[final] ).
cnf(c_0_4724,plain,
( X1 = X2
| c_Datatype__Universe_OAtom(X1,X3,X4) != c_Datatype__Universe_OAtom(X2,X3,X4) ),
c_0_3582,
[final] ).
cnf(c_0_4725,plain,
( X1 = X2
| c_Datatype__Universe_OIn0(X1,X3,X4) != c_Datatype__Universe_OIn0(X2,X3,X4) ),
c_0_3583,
[final] ).
cnf(c_0_4726,plain,
( X1 = X2
| c_Datatype__Universe_OIn1(X1,X3,X4) != c_Datatype__Universe_OIn1(X2,X3,X4) ),
c_0_3584,
[final] ).
cnf(c_0_4727,plain,
( X1 = X2
| c_append(X1,X3,X4) != c_append(X2,X3,X4) ),
c_0_3585,
[final] ).
cnf(c_0_4728,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_3586,
[final] ).
cnf(c_0_4729,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
c_0_3587,
[final] ).
cnf(c_0_4730,plain,
( X1 = X2
| c_append(X3,X1,X4) != c_append(X3,X2,X4) ),
c_0_3588,
[final] ).
cnf(c_0_4731,plain,
( X1 = X2
| c_Sum__Type_OInl(X1,X3,X4) != c_Sum__Type_OInl(X2,X3,X4) ),
c_0_3589,
[final] ).
cnf(c_0_4732,plain,
( X1 = X2
| c_Sum__Type_OInr(X1,X3,X4) != c_Sum__Type_OInr(X2,X3,X4) ),
c_0_3590,
[final] ).
cnf(c_0_4733,plain,
( X1 = X2
| c_Datatype__Universe_OLeaf(X1,X3,X4) != c_Datatype__Universe_OLeaf(X2,X3,X4) ),
c_0_3591,
[final] ).
cnf(c_0_4734,plain,
( X1 = X2
| c_Datatype__Universe_ONumb(X1,X3,X4) != c_Datatype__Universe_ONumb(X2,X3,X4) ),
c_0_3592,
[final] ).
cnf(c_0_4735,plain,
( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
c_0_3593,
[final] ).
cnf(c_0_4736,plain,
( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
c_0_3594,
[final] ).
cnf(c_0_4737,plain,
( X1 = X2
| c_insert(X1,X3,X4) != c_insert(X2,c_emptyset,X4) ),
c_0_3595,
[final] ).
cnf(c_0_4738,plain,
( X1 = X2
| c_insert(X2,c_emptyset,X3) != c_insert(X1,X4,X3) ),
c_0_3596,
[final] ).
cnf(c_0_4739,plain,
( X1 = X2
| c_insert(X1,c_emptyset,X3) != c_insert(X2,c_emptyset,X3) ),
c_0_3597,
[final] ).
cnf(c_0_4740,plain,
( c_times(X2,c_Main_Omod__eq__0D__dest__1(X2,X1),tc_nat) = X1
| c_Divides_Oop_Amod(X1,X2,tc_nat) != c_0 ),
c_0_3598,
[final] ).
cnf(c_0_4741,plain,
( c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint) = X1
| c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint) != c_0 ),
c_0_3599,
[final] ).
cnf(c_0_4742,plain,
( c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
c_0_3600,
[final] ).
cnf(c_0_4743,plain,
( c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
c_0_3601,
[final] ).
cnf(c_0_4744,plain,
( X1 = X2
| c_less(X1,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
c_0_3602,
[final] ).
cnf(c_0_4745,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_less(X1,X2,tc_set(X3)) ),
c_0_3603,
[final] ).
cnf(c_0_4746,plain,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
c_0_3604,
[final] ).
cnf(c_0_4747,plain,
( c_less(X1,X2,tc_nat)
| ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
c_0_3605,
[final] ).
cnf(c_0_4748,plain,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_3606,
[final] ).
cnf(c_0_4749,plain,
( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_less(X1,X2,tc_nat) ),
c_0_3607,
[final] ).
cnf(c_0_4750,plain,
( c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| c_in(X1,X2,X3) ),
c_0_3608,
[final] ).
cnf(c_0_4751,plain,
( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
| ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
c_0_3609,
[final] ).
cnf(c_0_4752,plain,
( X1 = c_Datatype_Ooption_OSome(X2,X3)
| ~ c_in(X2,c_Datatype_Oo2s(X1,X3),X3) ),
c_0_3610,
[final] ).
cnf(c_0_4753,plain,
( c_List_Oremdups(X1,X2) = X1
| c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2)) ),
c_0_3611,
[final] ).
cnf(c_0_4754,plain,
( ~ c_less(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_3612,
[final] ).
cnf(c_0_4755,plain,
( X1 = c_List_Olist_ONil
| c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
c_0_3613,
[final] ).
cnf(c_0_4756,plain,
( c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2))
| c_List_Oremdups(X1,X2) != X1 ),
c_0_3614,
[final] ).
cnf(c_0_4757,plain,
( X1 = c_0
| ~ c_less(X1,c_Suc(c_0),tc_nat) ),
c_0_3615,
[final] ).
cnf(c_0_4758,plain,
( X1 = c_List_Olist_ONil
| c_append(X1,X2,X3) != X2 ),
c_0_3616,
[final] ).
cnf(c_0_4759,plain,
( X1 = c_List_Olist_ONil
| c_append(X2,X1,X3) != X2 ),
c_0_3617,
[final] ).
cnf(c_0_4760,plain,
( X1 = c_List_Olist_ONil
| c_append(X1,X2,X3) != X2 ),
c_0_3618,
[final] ).
cnf(c_0_4761,plain,
( X1 = c_List_Olist_ONil
| c_append(X2,X1,X3) != X2 ),
c_0_3619,
[final] ).
cnf(c_0_4762,plain,
( X1 = c_emptyset
| c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
c_0_3620,
[final] ).
cnf(c_0_4763,plain,
( X1 = c_emptyset
| c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
c_0_3621,
[final] ).
cnf(c_0_4764,plain,
( X1 = c_List_Olist_ONil
| c_append(X1,X2,X3) != c_List_Olist_ONil ),
c_0_3622,
[final] ).
cnf(c_0_4765,plain,
( X1 = c_List_Olist_ONil
| c_append(X2,X1,X3) != c_List_Olist_ONil ),
c_0_3623,
[final] ).
cnf(c_0_4766,plain,
( X1 = c_List_Olist_ONil
| c_append(X1,X2,X3) != c_List_Olist_ONil ),
c_0_3624,
[final] ).
cnf(c_0_4767,plain,
( X1 = c_List_Olist_ONil
| c_append(X2,X1,X3) != c_List_Olist_ONil ),
c_0_3625,
[final] ).
cnf(c_0_4768,plain,
( X1 = c_emptyset
| c_union(X1,X2,X3) != c_emptyset ),
c_0_3626,
[final] ).
cnf(c_0_4769,plain,
( X1 = c_emptyset
| c_union(X2,X1,X3) != c_emptyset ),
c_0_3627,
[final] ).
cnf(c_0_4770,plain,
( X1 = c_0
| c_plus(X1,X2,tc_nat) != c_0 ),
c_0_3628,
[final] ).
cnf(c_0_4771,plain,
( X1 = c_0
| c_plus(X2,X1,tc_nat) != c_0 ),
c_0_3629,
[final] ).
cnf(c_0_4772,plain,
( X1 = c_0
| ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
c_0_3630,
[final] ).
cnf(c_0_4773,plain,
( X1 = c_0
| ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
c_0_3631,
[final] ).
cnf(c_0_4774,plain,
( X1 = c_0
| ~ c_lessequals(X1,c_0,tc_nat) ),
c_0_3632,
[final] ).
cnf(c_0_4775,plain,
( X1 = c_0
| ~ c_less(X1,c_1,tc_nat) ),
c_0_3633,
[final] ).
cnf(c_0_4776,plain,
( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X1,X2),tc_List_Olist(X2))
| ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
c_0_3634,
[final] ).
cnf(c_0_4777,plain,
( c_Wellfounded__Recursion_Owf(c_List_Olex(X1,X2),tc_List_Olist(X2))
| ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
c_0_3635,
[final] ).
cnf(c_0_4778,plain,
( X1 = X2
| c_uminus(X1,tc_set(X3)) != c_uminus(X2,tc_set(X3)) ),
c_0_3636,
[final] ).
cnf(c_0_4779,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_3637,
[final] ).
cnf(c_0_4780,plain,
( X1 = X2
| c_SetInterval_OatLeast(X1,X3) != c_SetInterval_OatLeast(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3638,
[final] ).
cnf(c_0_4781,plain,
( X1 = X2
| c_SetInterval_OatMost(X1,X3) != c_SetInterval_OatMost(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3639,
[final] ).
cnf(c_0_4782,plain,
( X1 = X2
| c_SetInterval_OgreaterThan(X1,X3) != c_SetInterval_OgreaterThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3640,
[final] ).
cnf(c_0_4783,plain,
( X1 = X2
| c_SetInterval_OlessThan(X1,X3) != c_SetInterval_OlessThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3641,
[final] ).
cnf(c_0_4784,plain,
( X1 = c_0
| c_less(c_0,X1,tc_nat) ),
c_0_3642,
[final] ).
cnf(c_0_4785,plain,
( X1 = X2
| c_Datatype_Ooption_OSome(X1,X3) != c_Datatype_Ooption_OSome(X2,X3) ),
c_0_3643,
[final] ).
cnf(c_0_4786,plain,
( X1 = X2
| c_List_Ochar_OChar(X1,X3) != c_List_Ochar_OChar(X2,X4) ),
c_0_3644,
[final] ).
cnf(c_0_4787,plain,
( X1 = X2
| c_List_Ochar_OChar(X3,X1) != c_List_Ochar_OChar(X4,X2) ),
c_0_3645,
[final] ).
cnf(c_0_4788,plain,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
c_0_3646,
[final] ).
cnf(c_0_4789,plain,
( class_Finite__Set_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite(X1)
| ~ class_Finite__Set_Ofinite(X2) ),
c_0_3647,
[final] ).
cnf(c_0_4790,plain,
( class_Finite__Set_Ofinite(tc_prod(X1,X2))
| ~ class_Finite__Set_Ofinite(X1)
| ~ class_Finite__Set_Ofinite(X2) ),
c_0_3648,
[final] ).
cnf(c_0_4791,plain,
( class_Finite__Set_Ofinite(tc_sum(X1,X2))
| ~ class_Finite__Set_Ofinite(X1)
| ~ class_Finite__Set_Ofinite(X2) ),
c_0_3649,
[final] ).
cnf(c_0_4792,plain,
( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X1,X2),X2) = X1
| X1 = c_Datatype_Ooption_ONone ),
c_0_3650,
[final] ).
cnf(c_0_4793,plain,
( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X1,X2),X2) = X1
| X1 = c_Datatype_Ooption_ONone ),
c_0_3651,
[final] ).
cnf(c_0_4794,plain,
( X1 = c_List_Olist_ONil
| c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
c_0_3652,
[final] ).
cnf(c_0_4795,plain,
( X1 = c_List_Olist_ONil
| c_List_Orev(X1,X2) != c_List_Olist_ONil ),
c_0_3653,
[final] ).
cnf(c_0_4796,plain,
( X1 = c_List_Olist_ONil
| c_List_Orev(X1,X2) != c_List_Olist_ONil ),
c_0_3654,
[final] ).
cnf(c_0_4797,plain,
( X1 = c_List_Olist_ONil
| c_List_Oset(X1,X2) != c_emptyset ),
c_0_3655,
[final] ).
cnf(c_0_4798,plain,
( X1 = c_List_Olist_ONil
| c_List_Oset(X1,X2) != c_emptyset ),
c_0_3656,
[final] ).
cnf(c_0_4799,plain,
( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))
| ~ class_Finite__Set_Ofinite(X1) ),
c_0_3657,
[final] ).
cnf(c_0_4800,plain,
( class_Finite__Set_Ofinite(tc_set(X1))
| ~ class_Finite__Set_Ofinite(X1) ),
c_0_3658,
[final] ).
cnf(c_0_4801,plain,
( X1 = X2
| c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
c_0_3659,
[final] ).
cnf(c_0_4802,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
c_0_3660,
[final] ).
cnf(c_0_4803,plain,
( class_Orderings_Oord(X1)
| ~ class_LOrder_Ojoin__semilorder(X1) ),
c_0_3661,
[final] ).
cnf(c_0_4804,plain,
( class_Orderings_Oorder(X1)
| ~ class_LOrder_Ojoin__semilorder(X1) ),
c_0_3662,
[final] ).
cnf(c_0_4805,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_LOrder_Olorder(X1) ),
c_0_3663,
[final] ).
cnf(c_0_4806,plain,
( class_Orderings_Oord(X1)
| ~ class_LOrder_Olorder(X1) ),
c_0_3664,
[final] ).
cnf(c_0_4807,plain,
( class_Orderings_Oorder(X1)
| ~ class_LOrder_Olorder(X1) ),
c_0_3665,
[final] ).
cnf(c_0_4808,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_LOrder_Olorder(X1) ),
c_0_3666,
[final] ).
cnf(c_0_4809,plain,
( class_Orderings_Oord(X1)
| ~ class_LOrder_Omeet__semilorder(X1) ),
c_0_3667,
[final] ).
cnf(c_0_4810,plain,
( class_Orderings_Oorder(X1)
| ~ class_LOrder_Omeet__semilorder(X1) ),
c_0_3668,
[final] ).
cnf(c_0_4811,plain,
( class_HOL_Oplus(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3669,
[final] ).
cnf(c_0_4812,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3670,
[final] ).
cnf(c_0_4813,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3671,
[final] ).
cnf(c_0_4814,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3672,
[final] ).
cnf(c_0_4815,plain,
( class_HOL_Ominus(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3673,
[final] ).
cnf(c_0_4816,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3674,
[final] ).
cnf(c_0_4817,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3675,
[final] ).
cnf(c_0_4818,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3676,
[final] ).
cnf(c_0_4819,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3677,
[final] ).
cnf(c_0_4820,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3678,
[final] ).
cnf(c_0_4821,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3679,
[final] ).
cnf(c_0_4822,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3680,
[final] ).
cnf(c_0_4823,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3681,
[final] ).
cnf(c_0_4824,plain,
( class_HOL_Oone(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3682,
[final] ).
cnf(c_0_4825,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3683,
[final] ).
cnf(c_0_4826,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3684,
[final] ).
cnf(c_0_4827,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3685,
[final] ).
cnf(c_0_4828,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3686,
[final] ).
cnf(c_0_4829,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3687,
[final] ).
cnf(c_0_4830,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3688,
[final] ).
cnf(c_0_4831,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3689,
[final] ).
cnf(c_0_4832,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3690,
[final] ).
cnf(c_0_4833,plain,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3691,
[final] ).
cnf(c_0_4834,plain,
( class_HOL_Otimes(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3692,
[final] ).
cnf(c_0_4835,plain,
( class_Numeral_Onumber(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3693,
[final] ).
cnf(c_0_4836,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3694,
[final] ).
cnf(c_0_4837,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3695,
[final] ).
cnf(c_0_4838,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3696,
[final] ).
cnf(c_0_4839,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3697,
[final] ).
cnf(c_0_4840,plain,
( class_HOL_Ozero(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3698,
[final] ).
cnf(c_0_4841,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
c_0_3699,
[final] ).
cnf(c_0_4842,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_3700,
[final] ).
cnf(c_0_4843,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_3701,
[final] ).
cnf(c_0_4844,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_3702,
[final] ).
cnf(c_0_4845,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_3703,
[final] ).
cnf(c_0_4846,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_3704,
[final] ).
cnf(c_0_4847,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_3705,
[final] ).
cnf(c_0_4848,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_3706,
[final] ).
cnf(c_0_4849,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_3707,
[final] ).
cnf(c_0_4850,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
c_0_3708,
[final] ).
cnf(c_0_4851,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
c_0_3709,
[final] ).
cnf(c_0_4852,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
c_0_3710,
[final] ).
cnf(c_0_4853,plain,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
c_0_3711,
[final] ).
cnf(c_0_4854,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
c_0_3712,
[final] ).
cnf(c_0_4855,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
c_0_3713,
[final] ).
cnf(c_0_4856,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
c_0_3714,
[final] ).
cnf(c_0_4857,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
c_0_3715,
[final] ).
cnf(c_0_4858,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
c_0_3716,
[final] ).
cnf(c_0_4859,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
c_0_3717,
[final] ).
cnf(c_0_4860,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_3718,
[final] ).
cnf(c_0_4861,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_3719,
[final] ).
cnf(c_0_4862,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_3720,
[final] ).
cnf(c_0_4863,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_3721,
[final] ).
cnf(c_0_4864,plain,
( class_HOL_Oone(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
c_0_3722,
[final] ).
cnf(c_0_4865,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
c_0_3723,
[final] ).
cnf(c_0_4866,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
c_0_3724,
[final] ).
cnf(c_0_4867,plain,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
c_0_3725,
[final] ).
cnf(c_0_4868,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
c_0_3726,
[final] ).
cnf(c_0_4869,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3727,
[final] ).
cnf(c_0_4870,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3728,
[final] ).
cnf(c_0_4871,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3729,
[final] ).
cnf(c_0_4872,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3730,
[final] ).
cnf(c_0_4873,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3731,
[final] ).
cnf(c_0_4874,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3732,
[final] ).
cnf(c_0_4875,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3733,
[final] ).
cnf(c_0_4876,plain,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3734,
[final] ).
cnf(c_0_4877,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3735,
[final] ).
cnf(c_0_4878,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3736,
[final] ).
cnf(c_0_4879,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3737,
[final] ).
cnf(c_0_4880,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3738,
[final] ).
cnf(c_0_4881,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3739,
[final] ).
cnf(c_0_4882,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3740,
[final] ).
cnf(c_0_4883,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3741,
[final] ).
cnf(c_0_4884,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3742,
[final] ).
cnf(c_0_4885,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3743,
[final] ).
cnf(c_0_4886,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
c_0_3744,
[final] ).
cnf(c_0_4887,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3745,
[final] ).
cnf(c_0_4888,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3746,
[final] ).
cnf(c_0_4889,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3747,
[final] ).
cnf(c_0_4890,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3748,
[final] ).
cnf(c_0_4891,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3749,
[final] ).
cnf(c_0_4892,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3750,
[final] ).
cnf(c_0_4893,plain,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3751,
[final] ).
cnf(c_0_4894,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3752,
[final] ).
cnf(c_0_4895,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3753,
[final] ).
cnf(c_0_4896,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3754,
[final] ).
cnf(c_0_4897,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3755,
[final] ).
cnf(c_0_4898,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3756,
[final] ).
cnf(c_0_4899,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3757,
[final] ).
cnf(c_0_4900,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3758,
[final] ).
cnf(c_0_4901,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3759,
[final] ).
cnf(c_0_4902,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3760,
[final] ).
cnf(c_0_4903,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3761,
[final] ).
cnf(c_0_4904,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3762,
[final] ).
cnf(c_0_4905,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_3763,
[final] ).
cnf(c_0_4906,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3764,
[final] ).
cnf(c_0_4907,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3765,
[final] ).
cnf(c_0_4908,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3766,
[final] ).
cnf(c_0_4909,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3767,
[final] ).
cnf(c_0_4910,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3768,
[final] ).
cnf(c_0_4911,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3769,
[final] ).
cnf(c_0_4912,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3770,
[final] ).
cnf(c_0_4913,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3771,
[final] ).
cnf(c_0_4914,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3772,
[final] ).
cnf(c_0_4915,plain,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3773,
[final] ).
cnf(c_0_4916,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3774,
[final] ).
cnf(c_0_4917,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3775,
[final] ).
cnf(c_0_4918,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3776,
[final] ).
cnf(c_0_4919,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3777,
[final] ).
cnf(c_0_4920,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3778,
[final] ).
cnf(c_0_4921,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3779,
[final] ).
cnf(c_0_4922,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3780,
[final] ).
cnf(c_0_4923,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3781,
[final] ).
cnf(c_0_4924,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
c_0_3782,
[final] ).
cnf(c_0_4925,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3783,
[final] ).
cnf(c_0_4926,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3784,
[final] ).
cnf(c_0_4927,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3785,
[final] ).
cnf(c_0_4928,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3786,
[final] ).
cnf(c_0_4929,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3787,
[final] ).
cnf(c_0_4930,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3788,
[final] ).
cnf(c_0_4931,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3789,
[final] ).
cnf(c_0_4932,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3790,
[final] ).
cnf(c_0_4933,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3791,
[final] ).
cnf(c_0_4934,plain,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3792,
[final] ).
cnf(c_0_4935,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3793,
[final] ).
cnf(c_0_4936,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3794,
[final] ).
cnf(c_0_4937,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3795,
[final] ).
cnf(c_0_4938,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3796,
[final] ).
cnf(c_0_4939,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3797,
[final] ).
cnf(c_0_4940,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3798,
[final] ).
cnf(c_0_4941,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3799,
[final] ).
cnf(c_0_4942,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3800,
[final] ).
cnf(c_0_4943,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
c_0_3801,
[final] ).
cnf(c_0_4944,plain,
( class_HOL_Oone(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
c_0_3802,
[final] ).
cnf(c_0_4945,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
c_0_3803,
[final] ).
cnf(c_0_4946,plain,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
c_0_3804,
[final] ).
cnf(c_0_4947,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3805,
[final] ).
cnf(c_0_4948,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3806,
[final] ).
cnf(c_0_4949,plain,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3807,
[final] ).
cnf(c_0_4950,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3808,
[final] ).
cnf(c_0_4951,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3809,
[final] ).
cnf(c_0_4952,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3810,
[final] ).
cnf(c_0_4953,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3811,
[final] ).
cnf(c_0_4954,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3812,
[final] ).
cnf(c_0_4955,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3813,
[final] ).
cnf(c_0_4956,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3814,
[final] ).
cnf(c_0_4957,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3815,
[final] ).
cnf(c_0_4958,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3816,
[final] ).
cnf(c_0_4959,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3817,
[final] ).
cnf(c_0_4960,plain,
( class_Orderings_Olinorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
c_0_3818,
[final] ).
cnf(c_0_4961,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3819,
[final] ).
cnf(c_0_4962,plain,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3820,
[final] ).
cnf(c_0_4963,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3821,
[final] ).
cnf(c_0_4964,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3822,
[final] ).
cnf(c_0_4965,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3823,
[final] ).
cnf(c_0_4966,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3824,
[final] ).
cnf(c_0_4967,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3825,
[final] ).
cnf(c_0_4968,plain,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3826,
[final] ).
cnf(c_0_4969,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3827,
[final] ).
cnf(c_0_4970,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3828,
[final] ).
cnf(c_0_4971,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3829,
[final] ).
cnf(c_0_4972,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3830,
[final] ).
cnf(c_0_4973,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3831,
[final] ).
cnf(c_0_4974,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3832,
[final] ).
cnf(c_0_4975,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
c_0_3833,
[final] ).
cnf(c_0_4976,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
c_0_3834,
[final] ).
cnf(c_0_4977,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
c_0_3835,
[final] ).
cnf(c_0_4978,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
c_0_3836,
[final] ).
cnf(c_0_4979,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
c_0_3837,
[final] ).
cnf(c_0_4980,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_3838,
[final] ).
cnf(c_0_4981,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_3839,
[final] ).
cnf(c_0_4982,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_3840,
[final] ).
cnf(c_0_4983,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_3841,
[final] ).
cnf(c_0_4984,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_3842,
[final] ).
cnf(c_0_4985,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_3843,
[final] ).
cnf(c_0_4986,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_3844,
[final] ).
cnf(c_0_4987,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_3845,
[final] ).
cnf(c_0_4988,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_3846,
[final] ).
cnf(c_0_4989,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
c_0_3847,
[final] ).
cnf(c_0_4990,plain,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
c_0_3848,
[final] ).
cnf(c_0_4991,plain,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
c_0_3849,
[final] ).
cnf(c_0_4992,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
c_0_3850,
[final] ).
cnf(c_0_4993,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
c_0_3851,
[final] ).
cnf(c_0_4994,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
c_0_3852,
[final] ).
cnf(c_0_4995,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
c_0_3853,
[final] ).
cnf(c_0_4996,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
c_0_3854,
[final] ).
cnf(c_0_4997,plain,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Osemigroup__add(X1) ),
c_0_3855,
[final] ).
cnf(c_0_4998,plain,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Osemigroup__mult(X1) ),
c_0_3856,
[final] ).
cnf(c_0_4999,plain,
( class_LOrder_Olorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
c_0_3857,
[final] ).
cnf(c_0_5000,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
c_0_3858,
[final] ).
cnf(c_0_5001,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
c_0_3859,
[final] ).
cnf(c_0_5002,plain,
( class_Orderings_Oord(X1)
| ~ class_Orderings_Olinorder(X1) ),
c_0_3860,
[final] ).
cnf(c_0_5003,plain,
( class_Orderings_Oorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
c_0_3861,
[final] ).
cnf(c_0_5004,plain,
( class_Orderings_Oord(X1)
| ~ class_Orderings_Oorder(X1) ),
c_0_3862,
[final] ).
cnf(c_0_5005,plain,
( class_Nat_Opower(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3863,
[final] ).
cnf(c_0_5006,plain,
( class_HOL_Ozero(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3864,
[final] ).
cnf(c_0_5007,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3865,
[final] ).
cnf(c_0_5008,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3866,
[final] ).
cnf(c_0_5009,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3867,
[final] ).
cnf(c_0_5010,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3868,
[final] ).
cnf(c_0_5011,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3869,
[final] ).
cnf(c_0_5012,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3870,
[final] ).
cnf(c_0_5013,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3871,
[final] ).
cnf(c_0_5014,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3872,
[final] ).
cnf(c_0_5015,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3873,
[final] ).
cnf(c_0_5016,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3874,
[final] ).
cnf(c_0_5017,plain,
( class_HOL_Oone(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3875,
[final] ).
cnf(c_0_5018,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3876,
[final] ).
cnf(c_0_5019,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3877,
[final] ).
cnf(c_0_5020,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3878,
[final] ).
cnf(c_0_5021,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3879,
[final] ).
cnf(c_0_5022,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3880,
[final] ).
cnf(c_0_5023,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3881,
[final] ).
cnf(c_0_5024,plain,
( class_HOL_Oplus(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3882,
[final] ).
cnf(c_0_5025,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3883,
[final] ).
cnf(c_0_5026,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3884,
[final] ).
cnf(c_0_5027,plain,
( class_HOL_Otimes(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3885,
[final] ).
cnf(c_0_5028,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3886,
[final] ).
cnf(c_0_5029,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Power_Orecpower(X1) ),
c_0_3887,
[final] ).
cnf(c_0_5030,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
c_0_3888,
[final] ).
cnf(c_0_5031,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
c_0_3889,
[final] ).
cnf(c_0_5032,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
c_0_3890,
[final] ).
cnf(c_0_5033,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
c_0_3891,
[final] ).
cnf(c_0_5034,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
c_0_3892,
[final] ).
cnf(c_0_5035,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
c_0_3893,
[final] ).
cnf(c_0_5036,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
c_0_3894,
[final] ).
cnf(c_0_5037,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3895,
[final] ).
cnf(c_0_5038,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3896,
[final] ).
cnf(c_0_5039,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3897,
[final] ).
cnf(c_0_5040,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3898,
[final] ).
cnf(c_0_5041,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3899,
[final] ).
cnf(c_0_5042,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3900,
[final] ).
cnf(c_0_5043,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3901,
[final] ).
cnf(c_0_5044,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3902,
[final] ).
cnf(c_0_5045,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3903,
[final] ).
cnf(c_0_5046,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3904,
[final] ).
cnf(c_0_5047,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3905,
[final] ).
cnf(c_0_5048,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3906,
[final] ).
cnf(c_0_5049,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3907,
[final] ).
cnf(c_0_5050,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3908,
[final] ).
cnf(c_0_5051,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3909,
[final] ).
cnf(c_0_5052,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3910,
[final] ).
cnf(c_0_5053,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3911,
[final] ).
cnf(c_0_5054,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3912,
[final] ).
cnf(c_0_5055,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_3913,
[final] ).
cnf(c_0_5056,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3914,
[final] ).
cnf(c_0_5057,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3915,
[final] ).
cnf(c_0_5058,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3916,
[final] ).
cnf(c_0_5059,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3917,
[final] ).
cnf(c_0_5060,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3918,
[final] ).
cnf(c_0_5061,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3919,
[final] ).
cnf(c_0_5062,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3920,
[final] ).
cnf(c_0_5063,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3921,
[final] ).
cnf(c_0_5064,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3922,
[final] ).
cnf(c_0_5065,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3923,
[final] ).
cnf(c_0_5066,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3924,
[final] ).
cnf(c_0_5067,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3925,
[final] ).
cnf(c_0_5068,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3926,
[final] ).
cnf(c_0_5069,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3927,
[final] ).
cnf(c_0_5070,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3928,
[final] ).
cnf(c_0_5071,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3929,
[final] ).
cnf(c_0_5072,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3930,
[final] ).
cnf(c_0_5073,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3931,
[final] ).
cnf(c_0_5074,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3932,
[final] ).
cnf(c_0_5075,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3933,
[final] ).
cnf(c_0_5076,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3934,
[final] ).
cnf(c_0_5077,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3935,
[final] ).
cnf(c_0_5078,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3936,
[final] ).
cnf(c_0_5079,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3937,
[final] ).
cnf(c_0_5080,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3938,
[final] ).
cnf(c_0_5081,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3939,
[final] ).
cnf(c_0_5082,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3940,
[final] ).
cnf(c_0_5083,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3941,
[final] ).
cnf(c_0_5084,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_3942,
[final] ).
cnf(c_0_5085,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
c_0_3943,
[final] ).
cnf(c_0_5086,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
c_0_3944,
[final] ).
cnf(c_0_5087,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
c_0_3945,
[final] ).
cnf(c_0_5088,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
c_0_3946,
[final] ).
cnf(c_0_5089,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
c_0_3947,
[final] ).
cnf(c_0_5090,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
c_0_3948,
[final] ).
cnf(c_0_5091,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
c_0_3949,
[final] ).
cnf(c_0_5092,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_3950,
[final] ).
cnf(c_0_5093,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_3951,
[final] ).
cnf(c_0_5094,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_3952,
[final] ).
cnf(c_0_5095,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_3953,
[final] ).
cnf(c_0_5096,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_3954,
[final] ).
cnf(c_0_5097,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_3955,
[final] ).
cnf(c_0_5098,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_3956,
[final] ).
cnf(c_0_5099,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_3957,
[final] ).
cnf(c_0_5100,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_3958,
[final] ).
cnf(c_0_5101,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_3959,
[final] ).
cnf(c_0_5102,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_3960,
[final] ).
cnf(c_0_5103,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3961,
[final] ).
cnf(c_0_5104,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3962,
[final] ).
cnf(c_0_5105,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3963,
[final] ).
cnf(c_0_5106,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3964,
[final] ).
cnf(c_0_5107,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3965,
[final] ).
cnf(c_0_5108,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3966,
[final] ).
cnf(c_0_5109,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3967,
[final] ).
cnf(c_0_5110,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3968,
[final] ).
cnf(c_0_5111,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3969,
[final] ).
cnf(c_0_5112,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3970,
[final] ).
cnf(c_0_5113,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3971,
[final] ).
cnf(c_0_5114,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3972,
[final] ).
cnf(c_0_5115,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3973,
[final] ).
cnf(c_0_5116,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3974,
[final] ).
cnf(c_0_5117,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
c_0_3975,
[final] ).
cnf(c_0_5118,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3976,
[final] ).
cnf(c_0_5119,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3977,
[final] ).
cnf(c_0_5120,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3978,
[final] ).
cnf(c_0_5121,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3979,
[final] ).
cnf(c_0_5122,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3980,
[final] ).
cnf(c_0_5123,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3981,
[final] ).
cnf(c_0_5124,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3982,
[final] ).
cnf(c_0_5125,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3983,
[final] ).
cnf(c_0_5126,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3984,
[final] ).
cnf(c_0_5127,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3985,
[final] ).
cnf(c_0_5128,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3986,
[final] ).
cnf(c_0_5129,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3987,
[final] ).
cnf(c_0_5130,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3988,
[final] ).
cnf(c_0_5131,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3989,
[final] ).
cnf(c_0_5132,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3990,
[final] ).
cnf(c_0_5133,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3991,
[final] ).
cnf(c_0_5134,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_3992,
[final] ).
cnf(c_0_5135,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_3993,
[final] ).
cnf(c_0_5136,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_3994,
[final] ).
cnf(c_0_5137,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_3995,
[final] ).
cnf(c_0_5138,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_3996,
[final] ).
cnf(c_0_5139,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_3997,
[final] ).
cnf(c_0_5140,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_3998,
[final] ).
cnf(c_0_5141,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_3999,
[final] ).
cnf(c_0_5142,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4000,
[final] ).
cnf(c_0_5143,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4001,
[final] ).
cnf(c_0_5144,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4002,
[final] ).
cnf(c_0_5145,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4003,
[final] ).
cnf(c_0_5146,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4004,
[final] ).
cnf(c_0_5147,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4005,
[final] ).
cnf(c_0_5148,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4006,
[final] ).
cnf(c_0_5149,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4007,
[final] ).
cnf(c_0_5150,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4008,
[final] ).
cnf(c_0_5151,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4009,
[final] ).
cnf(c_0_5152,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4010,
[final] ).
cnf(c_0_5153,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4011,
[final] ).
cnf(c_0_5154,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4012,
[final] ).
cnf(c_0_5155,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4013,
[final] ).
cnf(c_0_5156,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4014,
[final] ).
cnf(c_0_5157,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
c_0_4015,
[final] ).
cnf(c_0_5158,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
c_0_4016,
[final] ).
cnf(c_0_5159,plain,
( class_HOL_Oinverse(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
c_0_4017,
[final] ).
cnf(c_0_5160,plain,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4018,
[final] ).
cnf(c_0_5161,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4019,
[final] ).
cnf(c_0_5162,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4020,
[final] ).
cnf(c_0_5163,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4021,
[final] ).
cnf(c_0_5164,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4022,
[final] ).
cnf(c_0_5165,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4023,
[final] ).
cnf(c_0_5166,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4024,
[final] ).
cnf(c_0_5167,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4025,
[final] ).
cnf(c_0_5168,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4026,
[final] ).
cnf(c_0_5169,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4027,
[final] ).
cnf(c_0_5170,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4028,
[final] ).
cnf(c_0_5171,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4029,
[final] ).
cnf(c_0_5172,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4030,
[final] ).
cnf(c_0_5173,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4031,
[final] ).
cnf(c_0_5174,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4032,
[final] ).
cnf(c_0_5175,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4033,
[final] ).
cnf(c_0_5176,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4034,
[final] ).
cnf(c_0_5177,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4035,
[final] ).
cnf(c_0_5178,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4036,
[final] ).
cnf(c_0_5179,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4037,
[final] ).
cnf(c_0_5180,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4038,
[final] ).
cnf(c_0_5181,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4039,
[final] ).
cnf(c_0_5182,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4040,
[final] ).
cnf(c_0_5183,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4041,
[final] ).
cnf(c_0_5184,plain,
( class_HOL_Oinverse(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4042,
[final] ).
cnf(c_0_5185,plain,
( class_Ring__and__Field_Oidom(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4043,
[final] ).
cnf(c_0_5186,plain,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4044,
[final] ).
cnf(c_0_5187,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4045,
[final] ).
cnf(c_0_5188,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4046,
[final] ).
cnf(c_0_5189,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4047,
[final] ).
cnf(c_0_5190,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4048,
[final] ).
cnf(c_0_5191,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4049,
[final] ).
cnf(c_0_5192,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_4050,
[final] ).
cnf(c_0_5193,plain,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4051,
[final] ).
cnf(c_0_5194,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4052,
[final] ).
cnf(c_0_5195,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4053,
[final] ).
cnf(c_0_5196,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4054,
[final] ).
cnf(c_0_5197,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4055,
[final] ).
cnf(c_0_5198,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4056,
[final] ).
cnf(c_0_5199,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4057,
[final] ).
cnf(c_0_5200,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4058,
[final] ).
cnf(c_0_5201,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4059,
[final] ).
cnf(c_0_5202,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4060,
[final] ).
cnf(c_0_5203,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4061,
[final] ).
cnf(c_0_5204,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4062,
[final] ).
cnf(c_0_5205,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4063,
[final] ).
cnf(c_0_5206,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4064,
[final] ).
cnf(c_0_5207,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4065,
[final] ).
cnf(c_0_5208,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4066,
[final] ).
cnf(c_0_5209,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4067,
[final] ).
cnf(c_0_5210,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4068,
[final] ).
cnf(c_0_5211,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4069,
[final] ).
cnf(c_0_5212,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4070,
[final] ).
cnf(c_0_5213,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4071,
[final] ).
cnf(c_0_5214,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4072,
[final] ).
cnf(c_0_5215,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4073,
[final] ).
cnf(c_0_5216,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4074,
[final] ).
cnf(c_0_5217,plain,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4075,
[final] ).
cnf(c_0_5218,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4076,
[final] ).
cnf(c_0_5219,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4077,
[final] ).
cnf(c_0_5220,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4078,
[final] ).
cnf(c_0_5221,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4079,
[final] ).
cnf(c_0_5222,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4080,
[final] ).
cnf(c_0_5223,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_4081,
[final] ).
cnf(c_0_5224,plain,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4082,
[final] ).
cnf(c_0_5225,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4083,
[final] ).
cnf(c_0_5226,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4084,
[final] ).
cnf(c_0_5227,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4085,
[final] ).
cnf(c_0_5228,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4086,
[final] ).
cnf(c_0_5229,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4087,
[final] ).
cnf(c_0_5230,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4088,
[final] ).
cnf(c_0_5231,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4089,
[final] ).
cnf(c_0_5232,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4090,
[final] ).
cnf(c_0_5233,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4091,
[final] ).
cnf(c_0_5234,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4092,
[final] ).
cnf(c_0_5235,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4093,
[final] ).
cnf(c_0_5236,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4094,
[final] ).
cnf(c_0_5237,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4095,
[final] ).
cnf(c_0_5238,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4096,
[final] ).
cnf(c_0_5239,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4097,
[final] ).
cnf(c_0_5240,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4098,
[final] ).
cnf(c_0_5241,plain,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4099,
[final] ).
cnf(c_0_5242,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4100,
[final] ).
cnf(c_0_5243,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4101,
[final] ).
cnf(c_0_5244,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4102,
[final] ).
cnf(c_0_5245,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4103,
[final] ).
cnf(c_0_5246,plain,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4104,
[final] ).
cnf(c_0_5247,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4105,
[final] ).
cnf(c_0_5248,plain,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4106,
[final] ).
cnf(c_0_5249,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4107,
[final] ).
cnf(c_0_5250,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4108,
[final] ).
cnf(c_0_5251,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4109,
[final] ).
cnf(c_0_5252,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4110,
[final] ).
cnf(c_0_5253,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4111,
[final] ).
cnf(c_0_5254,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
c_0_4112,
[final] ).
cnf(c_0_5255,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4113,
[final] ).
cnf(c_0_5256,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4114,
[final] ).
cnf(c_0_5257,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4115,
[final] ).
cnf(c_0_5258,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4116,
[final] ).
cnf(c_0_5259,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4117,
[final] ).
cnf(c_0_5260,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4118,
[final] ).
cnf(c_0_5261,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4119,
[final] ).
cnf(c_0_5262,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4120,
[final] ).
cnf(c_0_5263,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4121,
[final] ).
cnf(c_0_5264,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4122,
[final] ).
cnf(c_0_5265,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4123,
[final] ).
cnf(c_0_5266,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4124,
[final] ).
cnf(c_0_5267,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4125,
[final] ).
cnf(c_0_5268,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4126,
[final] ).
cnf(c_0_5269,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4127,
[final] ).
cnf(c_0_5270,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4128,
[final] ).
cnf(c_0_5271,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4129,
[final] ).
cnf(c_0_5272,plain,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4130,
[final] ).
cnf(c_0_5273,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4131,
[final] ).
cnf(c_0_5274,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4132,
[final] ).
cnf(c_0_5275,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4133,
[final] ).
cnf(c_0_5276,plain,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4134,
[final] ).
cnf(c_0_5277,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4135,
[final] ).
cnf(c_0_5278,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4136,
[final] ).
cnf(c_0_5279,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4137,
[final] ).
cnf(c_0_5280,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4138,
[final] ).
cnf(c_0_5281,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4139,
[final] ).
cnf(c_0_5282,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4140,
[final] ).
cnf(c_0_5283,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4141,
[final] ).
cnf(c_0_5284,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
c_0_4142,
[final] ).
cnf(c_0_5285,plain,
( class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4143,
[final] ).
cnf(c_0_5286,plain,
( class_HOL_Oinverse(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4144,
[final] ).
cnf(c_0_5287,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4145,
[final] ).
cnf(c_0_5288,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4146,
[final] ).
cnf(c_0_5289,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4147,
[final] ).
cnf(c_0_5290,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4148,
[final] ).
cnf(c_0_5291,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4149,
[final] ).
cnf(c_0_5292,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4150,
[final] ).
cnf(c_0_5293,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4151,
[final] ).
cnf(c_0_5294,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4152,
[final] ).
cnf(c_0_5295,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4153,
[final] ).
cnf(c_0_5296,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4154,
[final] ).
cnf(c_0_5297,plain,
( class_Ring__and__Field_Oidom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4155,
[final] ).
cnf(c_0_5298,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4156,
[final] ).
cnf(c_0_5299,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4157,
[final] ).
cnf(c_0_5300,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4158,
[final] ).
cnf(c_0_5301,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4159,
[final] ).
cnf(c_0_5302,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4160,
[final] ).
cnf(c_0_5303,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4161,
[final] ).
cnf(c_0_5304,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4162,
[final] ).
cnf(c_0_5305,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4163,
[final] ).
cnf(c_0_5306,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4164,
[final] ).
cnf(c_0_5307,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4165,
[final] ).
cnf(c_0_5308,plain,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4166,
[final] ).
cnf(c_0_5309,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4167,
[final] ).
cnf(c_0_5310,plain,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4168,
[final] ).
cnf(c_0_5311,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4169,
[final] ).
cnf(c_0_5312,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4170,
[final] ).
cnf(c_0_5313,plain,
( class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4171,
[final] ).
cnf(c_0_5314,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4172,
[final] ).
cnf(c_0_5315,plain,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4173,
[final] ).
cnf(c_0_5316,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4174,
[final] ).
cnf(c_0_5317,plain,
( class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4175,
[final] ).
cnf(c_0_5318,plain,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4176,
[final] ).
cnf(c_0_5319,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4177,
[final] ).
cnf(c_0_5320,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4178,
[final] ).
cnf(c_0_5321,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4179,
[final] ).
cnf(c_0_5322,plain,
( class_Ring__and__Field_Oaxclass__abs__if(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4180,
[final] ).
cnf(c_0_5323,plain,
( class_Ring__and__Field_Olordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4181,
[final] ).
cnf(c_0_5324,plain,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4182,
[final] ).
cnf(c_0_5325,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4183,
[final] ).
cnf(c_0_5326,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4184,
[final] ).
cnf(c_0_5327,plain,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4185,
[final] ).
cnf(c_0_5328,plain,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4186,
[final] ).
cnf(c_0_5329,plain,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4187,
[final] ).
cnf(c_0_5330,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4188,
[final] ).
cnf(c_0_5331,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4189,
[final] ).
cnf(c_0_5332,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4190,
[final] ).
cnf(c_0_5333,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4191,
[final] ).
cnf(c_0_5334,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4192,
[final] ).
cnf(c_0_5335,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4193,
[final] ).
cnf(c_0_5336,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4194,
[final] ).
cnf(c_0_5337,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4195,
[final] ).
cnf(c_0_5338,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4196,
[final] ).
cnf(c_0_5339,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4197,
[final] ).
cnf(c_0_5340,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4198,
[final] ).
cnf(c_0_5341,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4199,
[final] ).
cnf(c_0_5342,plain,
( class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4200,
[final] ).
cnf(c_0_5343,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4201,
[final] ).
cnf(c_0_5344,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4202,
[final] ).
cnf(c_0_5345,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_4203,
[final] ).
cnf(c_0_5346,plain,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4204,
[final] ).
cnf(c_0_5347,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4205,
[final] ).
cnf(c_0_5348,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4206,
[final] ).
cnf(c_0_5349,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4207,
[final] ).
cnf(c_0_5350,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4208,
[final] ).
cnf(c_0_5351,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4209,
[final] ).
cnf(c_0_5352,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4210,
[final] ).
cnf(c_0_5353,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4211,
[final] ).
cnf(c_0_5354,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4212,
[final] ).
cnf(c_0_5355,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4213,
[final] ).
cnf(c_0_5356,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4214,
[final] ).
cnf(c_0_5357,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4215,
[final] ).
cnf(c_0_5358,plain,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4216,
[final] ).
cnf(c_0_5359,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4217,
[final] ).
cnf(c_0_5360,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4218,
[final] ).
cnf(c_0_5361,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4219,
[final] ).
cnf(c_0_5362,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4220,
[final] ).
cnf(c_0_5363,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4221,
[final] ).
cnf(c_0_5364,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4222,
[final] ).
cnf(c_0_5365,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4223,
[final] ).
cnf(c_0_5366,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4224,
[final] ).
cnf(c_0_5367,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4225,
[final] ).
cnf(c_0_5368,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4226,
[final] ).
cnf(c_0_5369,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4227,
[final] ).
cnf(c_0_5370,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4228,
[final] ).
cnf(c_0_5371,plain,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4229,
[final] ).
cnf(c_0_5372,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4230,
[final] ).
cnf(c_0_5373,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4231,
[final] ).
cnf(c_0_5374,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4232,
[final] ).
cnf(c_0_5375,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4233,
[final] ).
cnf(c_0_5376,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4234,
[final] ).
cnf(c_0_5377,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4235,
[final] ).
cnf(c_0_5378,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4236,
[final] ).
cnf(c_0_5379,plain,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4237,
[final] ).
cnf(c_0_5380,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4238,
[final] ).
cnf(c_0_5381,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4239,
[final] ).
cnf(c_0_5382,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4240,
[final] ).
cnf(c_0_5383,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4241,
[final] ).
cnf(c_0_5384,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4242,
[final] ).
cnf(c_0_5385,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4243,
[final] ).
cnf(c_0_5386,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4244,
[final] ).
cnf(c_0_5387,plain,
( class_Ring__and__Field_Oaxclass__abs__if(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4245,
[final] ).
cnf(c_0_5388,plain,
( class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4246,
[final] ).
cnf(c_0_5389,plain,
( class_Ring__and__Field_Olordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4247,
[final] ).
cnf(c_0_5390,plain,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4248,
[final] ).
cnf(c_0_5391,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4249,
[final] ).
cnf(c_0_5392,plain,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4250,
[final] ).
cnf(c_0_5393,plain,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4251,
[final] ).
cnf(c_0_5394,plain,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4252,
[final] ).
cnf(c_0_5395,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4253,
[final] ).
cnf(c_0_5396,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4254,
[final] ).
cnf(c_0_5397,plain,
( class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4255,
[final] ).
cnf(c_0_5398,plain,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4256,
[final] ).
cnf(c_0_5399,plain,
( class_Ring__and__Field_Oidom(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4257,
[final] ).
cnf(c_0_5400,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4258,
[final] ).
cnf(c_0_5401,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4259,
[final] ).
cnf(c_0_5402,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4260,
[final] ).
cnf(c_0_5403,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_4261,
[final] ).
cnf(c_0_5404,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4262,
[final] ).
cnf(c_0_5405,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4263,
[final] ).
cnf(c_0_5406,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4264,
[final] ).
cnf(c_0_5407,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4265,
[final] ).
cnf(c_0_5408,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4266,
[final] ).
cnf(c_0_5409,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4267,
[final] ).
cnf(c_0_5410,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4268,
[final] ).
cnf(c_0_5411,plain,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4269,
[final] ).
cnf(c_0_5412,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4270,
[final] ).
cnf(c_0_5413,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4271,
[final] ).
cnf(c_0_5414,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4272,
[final] ).
cnf(c_0_5415,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4273,
[final] ).
cnf(c_0_5416,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4274,
[final] ).
cnf(c_0_5417,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4275,
[final] ).
cnf(c_0_5418,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4276,
[final] ).
cnf(c_0_5419,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4277,
[final] ).
cnf(c_0_5420,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4278,
[final] ).
cnf(c_0_5421,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4279,
[final] ).
cnf(c_0_5422,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4280,
[final] ).
cnf(c_0_5423,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4281,
[final] ).
cnf(c_0_5424,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4282,
[final] ).
cnf(c_0_5425,plain,
( class_Ring__and__Field_Oaxclass__abs__if(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4283,
[final] ).
cnf(c_0_5426,plain,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4284,
[final] ).
cnf(c_0_5427,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4285,
[final] ).
cnf(c_0_5428,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4286,
[final] ).
cnf(c_0_5429,plain,
( class_Ring__and__Field_Olordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4287,
[final] ).
cnf(c_0_5430,plain,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4288,
[final] ).
cnf(c_0_5431,plain,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4289,
[final] ).
cnf(c_0_5432,plain,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4290,
[final] ).
cnf(c_0_5433,plain,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4291,
[final] ).
cnf(c_0_5434,plain,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4292,
[final] ).
cnf(c_0_5435,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4293,
[final] ).
cnf(c_0_5436,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4294,
[final] ).
cnf(c_0_5437,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4295,
[final] ).
cnf(c_0_5438,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4296,
[final] ).
cnf(c_0_5439,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4297,
[final] ).
cnf(c_0_5440,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_4298,
[final] ).
cnf(c_0_5441,plain,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4299,
[final] ).
cnf(c_0_5442,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4300,
[final] ).
cnf(c_0_5443,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4301,
[final] ).
cnf(c_0_5444,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4302,
[final] ).
cnf(c_0_5445,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4303,
[final] ).
cnf(c_0_5446,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4304,
[final] ).
cnf(c_0_5447,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4305,
[final] ).
cnf(c_0_5448,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4306,
[final] ).
cnf(c_0_5449,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4307,
[final] ).
cnf(c_0_5450,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4308,
[final] ).
cnf(c_0_5451,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4309,
[final] ).
cnf(c_0_5452,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4310,
[final] ).
cnf(c_0_5453,plain,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4311,
[final] ).
cnf(c_0_5454,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4312,
[final] ).
cnf(c_0_5455,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4313,
[final] ).
cnf(c_0_5456,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4314,
[final] ).
cnf(c_0_5457,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4315,
[final] ).
cnf(c_0_5458,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4316,
[final] ).
cnf(c_0_5459,plain,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4317,
[final] ).
cnf(c_0_5460,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4318,
[final] ).
cnf(c_0_5461,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4319,
[final] ).
cnf(c_0_5462,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4320,
[final] ).
cnf(c_0_5463,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4321,
[final] ).
cnf(c_0_5464,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4322,
[final] ).
cnf(c_0_5465,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4323,
[final] ).
cnf(c_0_5466,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4324,
[final] ).
cnf(c_0_5467,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4325,
[final] ).
cnf(c_0_5468,plain,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4326,
[final] ).
cnf(c_0_5469,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4327,
[final] ).
cnf(c_0_5470,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4328,
[final] ).
cnf(c_0_5471,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4329,
[final] ).
cnf(c_0_5472,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4330,
[final] ).
cnf(c_0_5473,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4331,
[final] ).
cnf(c_0_5474,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4332,
[final] ).
cnf(c_0_5475,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4333,
[final] ).
cnf(c_0_5476,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4334,
[final] ).
cnf(c_0_5477,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4335,
[final] ).
cnf(c_0_5478,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4336,
[final] ).
cnf(c_0_5479,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4337,
[final] ).
cnf(c_0_5480,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_4338,
[final] ).
cnf(c_0_5481,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4339,
[final] ).
cnf(c_0_5482,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4340,
[final] ).
cnf(c_0_5483,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4341,
[final] ).
cnf(c_0_5484,plain,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4342,
[final] ).
cnf(c_0_5485,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4343,
[final] ).
cnf(c_0_5486,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4344,
[final] ).
cnf(c_0_5487,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4345,
[final] ).
cnf(c_0_5488,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4346,
[final] ).
cnf(c_0_5489,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4347,
[final] ).
cnf(c_0_5490,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4348,
[final] ).
cnf(c_0_5491,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4349,
[final] ).
cnf(c_0_5492,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4350,
[final] ).
cnf(c_0_5493,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4351,
[final] ).
cnf(c_0_5494,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4352,
[final] ).
cnf(c_0_5495,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4353,
[final] ).
cnf(c_0_5496,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4354,
[final] ).
cnf(c_0_5497,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4355,
[final] ).
cnf(c_0_5498,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4356,
[final] ).
cnf(c_0_5499,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4357,
[final] ).
cnf(c_0_5500,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4358,
[final] ).
cnf(c_0_5501,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4359,
[final] ).
cnf(c_0_5502,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4360,
[final] ).
cnf(c_0_5503,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4361,
[final] ).
cnf(c_0_5504,plain,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_4362,
[final] ).
cnf(c_0_5505,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4363,
[final] ).
cnf(c_0_5506,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4364,
[final] ).
cnf(c_0_5507,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4365,
[final] ).
cnf(c_0_5508,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4366,
[final] ).
cnf(c_0_5509,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4367,
[final] ).
cnf(c_0_5510,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4368,
[final] ).
cnf(c_0_5511,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4369,
[final] ).
cnf(c_0_5512,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4370,
[final] ).
cnf(c_0_5513,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4371,
[final] ).
cnf(c_0_5514,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4372,
[final] ).
cnf(c_0_5515,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4373,
[final] ).
cnf(c_0_5516,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4374,
[final] ).
cnf(c_0_5517,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4375,
[final] ).
cnf(c_0_5518,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4376,
[final] ).
cnf(c_0_5519,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4377,
[final] ).
cnf(c_0_5520,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4378,
[final] ).
cnf(c_0_5521,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4379,
[final] ).
cnf(c_0_5522,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4380,
[final] ).
cnf(c_0_5523,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4381,
[final] ).
cnf(c_0_5524,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4382,
[final] ).
cnf(c_0_5525,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
c_0_4383,
[final] ).
cnf(c_0_5526,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4384,
[final] ).
cnf(c_0_5527,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4385,
[final] ).
cnf(c_0_5528,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4386,
[final] ).
cnf(c_0_5529,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4387,
[final] ).
cnf(c_0_5530,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4388,
[final] ).
cnf(c_0_5531,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4389,
[final] ).
cnf(c_0_5532,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4390,
[final] ).
cnf(c_0_5533,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4391,
[final] ).
cnf(c_0_5534,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4392,
[final] ).
cnf(c_0_5535,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4393,
[final] ).
cnf(c_0_5536,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4394,
[final] ).
cnf(c_0_5537,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4395,
[final] ).
cnf(c_0_5538,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4396,
[final] ).
cnf(c_0_5539,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4397,
[final] ).
cnf(c_0_5540,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4398,
[final] ).
cnf(c_0_5541,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_4399,
[final] ).
cnf(c_0_5542,plain,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4400,
[final] ).
cnf(c_0_5543,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4401,
[final] ).
cnf(c_0_5544,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4402,
[final] ).
cnf(c_0_5545,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4403,
[final] ).
cnf(c_0_5546,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4404,
[final] ).
cnf(c_0_5547,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4405,
[final] ).
cnf(c_0_5548,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4406,
[final] ).
cnf(c_0_5549,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4407,
[final] ).
cnf(c_0_5550,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4408,
[final] ).
cnf(c_0_5551,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4409,
[final] ).
cnf(c_0_5552,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4410,
[final] ).
cnf(c_0_5553,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4411,
[final] ).
cnf(c_0_5554,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4412,
[final] ).
cnf(c_0_5555,plain,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4413,
[final] ).
cnf(c_0_5556,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4414,
[final] ).
cnf(c_0_5557,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4415,
[final] ).
cnf(c_0_5558,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4416,
[final] ).
cnf(c_0_5559,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4417,
[final] ).
cnf(c_0_5560,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4418,
[final] ).
cnf(c_0_5561,plain,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4419,
[final] ).
cnf(c_0_5562,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4420,
[final] ).
cnf(c_0_5563,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4421,
[final] ).
cnf(c_0_5564,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4422,
[final] ).
cnf(c_0_5565,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4423,
[final] ).
cnf(c_0_5566,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
c_0_4424,
[final] ).
cnf(c_0_5567,plain,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4425,
[final] ).
cnf(c_0_5568,plain,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4426,
[final] ).
cnf(c_0_5569,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4427,
[final] ).
cnf(c_0_5570,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4428,
[final] ).
cnf(c_0_5571,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4429,
[final] ).
cnf(c_0_5572,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4430,
[final] ).
cnf(c_0_5573,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4431,
[final] ).
cnf(c_0_5574,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4432,
[final] ).
cnf(c_0_5575,plain,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4433,
[final] ).
cnf(c_0_5576,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4434,
[final] ).
cnf(c_0_5577,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4435,
[final] ).
cnf(c_0_5578,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4436,
[final] ).
cnf(c_0_5579,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4437,
[final] ).
cnf(c_0_5580,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4438,
[final] ).
cnf(c_0_5581,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4439,
[final] ).
cnf(c_0_5582,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
c_0_4440,
[final] ).
cnf(c_0_5583,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4441,
[final] ).
cnf(c_0_5584,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4442,
[final] ).
cnf(c_0_5585,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4443,
[final] ).
cnf(c_0_5586,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4444,
[final] ).
cnf(c_0_5587,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4445,
[final] ).
cnf(c_0_5588,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4446,
[final] ).
cnf(c_0_5589,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4447,
[final] ).
cnf(c_0_5590,plain,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4448,
[final] ).
cnf(c_0_5591,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4449,
[final] ).
cnf(c_0_5592,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4450,
[final] ).
cnf(c_0_5593,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4451,
[final] ).
cnf(c_0_5594,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4452,
[final] ).
cnf(c_0_5595,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4453,
[final] ).
cnf(c_0_5596,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4454,
[final] ).
cnf(c_0_5597,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4455,
[final] ).
cnf(c_0_5598,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4456,
[final] ).
cnf(c_0_5599,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4457,
[final] ).
cnf(c_0_5600,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4458,
[final] ).
cnf(c_0_5601,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4459,
[final] ).
cnf(c_0_5602,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4460,
[final] ).
cnf(c_0_5603,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4461,
[final] ).
cnf(c_0_5604,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4462,
[final] ).
cnf(c_0_5605,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_4463,
[final] ).
cnf(c_0_5606,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4464,
[final] ).
cnf(c_0_5607,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4465,
[final] ).
cnf(c_0_5608,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4466,
[final] ).
cnf(c_0_5609,plain,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4467,
[final] ).
cnf(c_0_5610,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4468,
[final] ).
cnf(c_0_5611,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4469,
[final] ).
cnf(c_0_5612,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4470,
[final] ).
cnf(c_0_5613,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4471,
[final] ).
cnf(c_0_5614,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4472,
[final] ).
cnf(c_0_5615,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4473,
[final] ).
cnf(c_0_5616,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4474,
[final] ).
cnf(c_0_5617,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_4475,
[final] ).
cnf(c_0_5618,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4476,
[final] ).
cnf(c_0_5619,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4477,
[final] ).
cnf(c_0_5620,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4478,
[final] ).
cnf(c_0_5621,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4479,
[final] ).
cnf(c_0_5622,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4480,
[final] ).
cnf(c_0_5623,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4481,
[final] ).
cnf(c_0_5624,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4482,
[final] ).
cnf(c_0_5625,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4483,
[final] ).
cnf(c_0_5626,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4484,
[final] ).
cnf(c_0_5627,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4485,
[final] ).
cnf(c_0_5628,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4486,
[final] ).
cnf(c_0_5629,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4487,
[final] ).
cnf(c_0_5630,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4488,
[final] ).
cnf(c_0_5631,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
c_0_4489,
[final] ).
cnf(c_0_5632,plain,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4490,
[final] ).
cnf(c_0_5633,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4491,
[final] ).
cnf(c_0_5634,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4492,
[final] ).
cnf(c_0_5635,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4493,
[final] ).
cnf(c_0_5636,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4494,
[final] ).
cnf(c_0_5637,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4495,
[final] ).
cnf(c_0_5638,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4496,
[final] ).
cnf(c_0_5639,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4497,
[final] ).
cnf(c_0_5640,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4498,
[final] ).
cnf(c_0_5641,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4499,
[final] ).
cnf(c_0_5642,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4500,
[final] ).
cnf(c_0_5643,plain,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4501,
[final] ).
cnf(c_0_5644,plain,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4502,
[final] ).
cnf(c_0_5645,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4503,
[final] ).
cnf(c_0_5646,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4504,
[final] ).
cnf(c_0_5647,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4505,
[final] ).
cnf(c_0_5648,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4506,
[final] ).
cnf(c_0_5649,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4507,
[final] ).
cnf(c_0_5650,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4508,
[final] ).
cnf(c_0_5651,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
c_0_4509,
[final] ).
cnf(c_0_5652,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
c_0_4510,
[final] ).
cnf(c_0_5653,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
c_0_4511,
[final] ).
cnf(c_0_5654,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
c_0_4512,
[final] ).
cnf(c_0_5655,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
c_0_4513,
[final] ).
cnf(c_0_5656,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
c_0_4514,
[final] ).
cnf(c_0_5657,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
c_0_4515,
[final] ).
cnf(c_0_5658,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
c_0_4516,
[final] ).
cnf(c_0_5659,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
c_0_4517,
[final] ).
cnf(c_0_5660,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
c_0_4518,
[final] ).
cnf(c_0_5661,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
c_0_4519,
[final] ).
cnf(c_0_5662,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
c_0_4520,
[final] ).
cnf(c_0_5663,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
c_0_4521,
[final] ).
cnf(c_0_5664,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
c_0_4522,
[final] ).
cnf(c_0_5665,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
c_0_4523,
[final] ).
cnf(c_0_5666,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
c_0_4524,
[final] ).
cnf(c_0_5667,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
c_0_4525,
[final] ).
cnf(c_0_5668,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
c_0_4526,
[final] ).
cnf(c_0_5669,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
c_0_4527,
[final] ).
cnf(c_0_5670,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
c_0_4528,
[final] ).
cnf(c_0_5671,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
c_0_4529,
[final] ).
cnf(c_0_5672,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
c_0_4530,
[final] ).
cnf(c_0_5673,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
c_0_4531,
[final] ).
cnf(c_0_5674,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
c_0_4532,
[final] ).
cnf(c_0_5675,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
c_0_4533,
[final] ).
cnf(c_0_5676,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4534,
[final] ).
cnf(c_0_5677,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4535,
[final] ).
cnf(c_0_5678,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4536,
[final] ).
cnf(c_0_5679,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4537,
[final] ).
cnf(c_0_5680,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4538,
[final] ).
cnf(c_0_5681,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4539,
[final] ).
cnf(c_0_5682,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4540,
[final] ).
cnf(c_0_5683,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4541,
[final] ).
cnf(c_0_5684,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4542,
[final] ).
cnf(c_0_5685,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4543,
[final] ).
cnf(c_0_5686,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4544,
[final] ).
cnf(c_0_5687,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_4545,
[final] ).
cnf(c_0_5688,plain,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4546,
[final] ).
cnf(c_0_5689,plain,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4547,
[final] ).
cnf(c_0_5690,plain,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4548,
[final] ).
cnf(c_0_5691,plain,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4549,
[final] ).
cnf(c_0_5692,plain,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4550,
[final] ).
cnf(c_0_5693,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4551,
[final] ).
cnf(c_0_5694,plain,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4552,
[final] ).
cnf(c_0_5695,plain,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4553,
[final] ).
cnf(c_0_5696,plain,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4554,
[final] ).
cnf(c_0_5697,plain,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4555,
[final] ).
cnf(c_0_5698,plain,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4556,
[final] ).
cnf(c_0_5699,plain,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4557,
[final] ).
cnf(c_0_5700,plain,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4558,
[final] ).
cnf(c_0_5701,plain,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4559,
[final] ).
cnf(c_0_5702,plain,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4560,
[final] ).
cnf(c_0_5703,plain,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
c_0_4561,
[final] ).
cnf(c_0_5704,plain,
( class_Orderings_Oord(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
c_0_4562,
[final] ).
cnf(c_0_5705,plain,
( class_Orderings_Oorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
c_0_4563,
[final] ).
cnf(c_0_5706,plain,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
c_0_4564,
[final] ).
cnf(c_0_5707,plain,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
c_0_4565,
[final] ).
cnf(c_0_5708,plain,
( class_LOrder_Olorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
c_0_4566,
[final] ).
cnf(c_0_5709,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
c_0_4567,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_4568_0,axiom,
( c_in(c_Pair(c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__3(X1,X2,X3,X4,X5,X6),X4,X5),X1,tc_prod(X4,X5))
| ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_4568]) ).
cnf(c_0_4568_1,axiom,
( ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5))
| c_in(c_Pair(c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__3(X1,X2,X3,X4,X5,X6),X4,X5),X1,tc_prod(X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_4568]) ).
cnf(c_0_4569_0,axiom,
( c_in(c_Pair(c_Main_Orel__compE__1(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X6,X4),X2,tc_prod(X6,X4))
| ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_4569]) ).
cnf(c_0_4569_1,axiom,
( ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X6,X4),X2,tc_prod(X6,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4569]) ).
cnf(c_0_4570_0,axiom,
( c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X6,X5) = X1
| ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_4570]) ).
cnf(c_0_4570_1,axiom,
( ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5))
| c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X6,X5) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4570]) ).
cnf(c_0_4571_0,axiom,
( c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__2(X1,X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = X1
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_4571]) ).
cnf(c_0_4571_1,axiom,
( ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__2(X1,X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4571]) ).
cnf(c_0_4572_0,axiom,
( c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_4572]) ).
cnf(c_0_4572_1,axiom,
( ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_4572]) ).
cnf(c_0_4573_0,axiom,
( c_in(c_Pair(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__3(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_4573]) ).
cnf(c_0_4573_1,axiom,
( ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__3(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_4573]) ).
cnf(c_0_4574_0,axiom,
( c_in(c_Pair(c_Main_OdsumE__3(X1,X2,X3,X4),c_Main_OdsumE__4(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X2,X3,X4),c_Main_OdsumE__2(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X2,c_Datatype__Universe_Odsum(X5,X1,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4574]) ).
cnf(c_0_4574_1,axiom,
( c_in(c_Pair(c_Main_OdsumE__1(X5,X2,X3,X4),c_Main_OdsumE__2(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__3(X1,X2,X3,X4),c_Main_OdsumE__4(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X2,c_Datatype__Universe_Odsum(X5,X1,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4574]) ).
cnf(c_0_4574_2,axiom,
( ~ c_in(X2,c_Datatype__Universe_Odsum(X5,X1,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X2,X3,X4),c_Main_OdsumE__2(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__3(X1,X2,X3,X4),c_Main_OdsumE__4(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4574]) ).
cnf(c_0_4575_0,axiom,
( c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| c_in(c_Pair(c_Main_OdsumE__3(X5,X1,X3,X4),c_Main_OdsumE__4(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4575]) ).
cnf(c_0_4575_1,axiom,
( c_in(c_Pair(c_Main_OdsumE__3(X5,X1,X3,X4),c_Main_OdsumE__4(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4575]) ).
cnf(c_0_4575_2,axiom,
( ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__3(X5,X1,X3,X4),c_Main_OdsumE__4(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4575]) ).
cnf(c_0_4576_0,axiom,
( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| c_in(c_Pair(c_Main_OdsumE__1(X5,X1,X3,X4),c_Main_OdsumE__2(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4576]) ).
cnf(c_0_4576_1,axiom,
( c_in(c_Pair(c_Main_OdsumE__1(X5,X1,X3,X4),c_Main_OdsumE__2(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4576]) ).
cnf(c_0_4576_2,axiom,
( ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X1,X3,X4),c_Main_OdsumE__2(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4576]) ).
cnf(c_0_4577_0,axiom,
( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X2,X3,X4,X1,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4577]) ).
cnf(c_0_4577_1,axiom,
( ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X2,X3,X4,X1,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4577]) ).
cnf(c_0_4578_0,axiom,
( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X1,X2,X3,X4,X5),X4,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4578]) ).
cnf(c_0_4578_1,axiom,
( ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__2(X1,X2,X3,X4,X5),X4,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4578]) ).
cnf(c_0_4579_0,axiom,
( c_in(c_Pair(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_OScons(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X7,X8,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4579]) ).
cnf(c_0_4579_1,axiom,
( ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_OScons(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X7,X8,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4579]) ).
cnf(c_0_4579_2,axiom,
( ~ c_in(c_Pair(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_OScons(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X7,X8,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4579]) ).
cnf(c_0_4580_0,axiom,
( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X2,X3,X1,X4,X5),X5,X5),X2,tc_prod(X5,X5))
| ~ c_in(c_Pair(c_List_Olist_OCons(X1,X4,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4580]) ).
cnf(c_0_4580_1,axiom,
( ~ c_in(c_Pair(c_List_Olist_OCons(X1,X4,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X2,X3,X1,X4,X5),X5,X5),X2,tc_prod(X5,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_4580]) ).
cnf(c_0_4581_0,axiom,
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X1,X2,X3,X4,X5),X3,X5,X5),X1,tc_prod(X5,X5))
| ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4581]) ).
cnf(c_0_4581_1,axiom,
( ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__1(X1,X2,X3,X4,X5),X3,X5,X5),X1,tc_prod(X5,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_4581]) ).
cnf(c_0_4582_0,axiom,
( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4582]) ).
cnf(c_0_4582_1,axiom,
( c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_4582]) ).
cnf(c_0_4582_2,axiom,
( ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4582]) ).
cnf(c_0_4583_0,axiom,
( c_in(c_Pair(c_Main_OImageE__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
| ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_4583]) ).
cnf(c_0_4583_1,axiom,
( ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5)
| c_in(c_Pair(c_Main_OImageE__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_4583]) ).
cnf(c_0_4584_0,axiom,
( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons1__2(X2,X1,X3,X4,X5),X5) = X1
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X4,X5),X1,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4584]) ).
cnf(c_0_4584_1,axiom,
( ~ c_in(c_Pair(c_List_Olist_OCons(X3,X4,X5),X1,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons1__2(X2,X1,X3,X4,X5),X5) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4584]) ).
cnf(c_0_4585_0,axiom,
( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons2__2(X2,X1,X3,X4,X5),X5) = X1
| ~ c_in(c_Pair(X1,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4585]) ).
cnf(c_0_4585_1,axiom,
( ~ c_in(c_Pair(X1,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
| c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons2__2(X2,X1,X3,X4,X5),X5) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4585]) ).
cnf(c_0_4586_0,axiom,
( c_Datatype__Universe_OScons(c_Main_OuprodE__1(X2,X3,X1,X4,X5),c_Main_OuprodE__2(X2,X3,X1,X4,X5),X4,X5) = X1
| ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4586]) ).
cnf(c_0_4586_1,axiom,
( ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_Datatype__Universe_OScons(c_Main_OuprodE__1(X2,X3,X1,X4,X5),c_Main_OuprodE__2(X2,X3,X1,X4,X5),X4,X5) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4586]) ).
cnf(c_0_4587_0,axiom,
( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X7,X4,X3),tc_prod(X3,X4))
| ~ c_in(c_Pair(X1,X8,X3,X7),X6,tc_prod(X3,X7))
| ~ c_in(c_Pair(X8,X2,X7,X4),X5,tc_prod(X7,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4587]) ).
cnf(c_0_4587_1,axiom,
( ~ c_in(c_Pair(X1,X8,X3,X7),X6,tc_prod(X3,X7))
| c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X7,X4,X3),tc_prod(X3,X4))
| ~ c_in(c_Pair(X8,X2,X7,X4),X5,tc_prod(X7,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4587]) ).
cnf(c_0_4587_2,axiom,
( ~ c_in(c_Pair(X8,X2,X7,X4),X5,tc_prod(X7,X4))
| ~ c_in(c_Pair(X1,X8,X3,X7),X6,tc_prod(X3,X7))
| c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X7,X4,X3),tc_prod(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4587]) ).
cnf(c_0_4588_0,axiom,
( c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4588]) ).
cnf(c_0_4588_1,axiom,
( ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4588]) ).
cnf(c_0_4589_0,axiom,
( c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4589]) ).
cnf(c_0_4589_1,axiom,
( ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4589]) ).
cnf(c_0_4590_0,axiom,
( c_in(c_Main_OuprodE__2(X1,X2,X3,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4590]) ).
cnf(c_0_4590_1,axiom,
( ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,X2,X3,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4590]) ).
cnf(c_0_4591_0,axiom,
( c_in(c_Main_OuprodE__1(X1,X2,X3,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4591]) ).
cnf(c_0_4591_1,axiom,
( ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__1(X1,X2,X3,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_4591]) ).
cnf(c_0_4592_0,axiom,
( c_in(c_Main_OImageE__1(X1,X2,X3,X4,X5),X1,X4)
| ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_4592]) ).
cnf(c_0_4592_1,axiom,
( ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5)
| c_in(c_Main_OImageE__1(X1,X2,X3,X4,X5),X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4592]) ).
cnf(c_0_4593_0,axiom,
( c_in(c_Pair(c_Main_OconverseE__1(X1,X2,X3,X4),c_Main_OconverseE__2(X1,X2,X3,X4),X3,X4),X1,tc_prod(X3,X4))
| ~ c_in(X2,c_Relation_Oconverse(X1,X3,X4),tc_prod(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4593]) ).
cnf(c_0_4593_1,axiom,
( ~ c_in(X2,c_Relation_Oconverse(X1,X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(c_Main_OconverseE__1(X1,X2,X3,X4),c_Main_OconverseE__2(X1,X2,X3,X4),X3,X4),X1,tc_prod(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4593]) ).
cnf(c_0_4594_0,axiom,
( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4594]) ).
cnf(c_0_4594_1,axiom,
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4594]) ).
cnf(c_0_4595_0,axiom,
( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4595]) ).
cnf(c_0_4595_1,axiom,
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4595]) ).
cnf(c_0_4596_0,axiom,
( c_in(c_Main_OusumE__2(X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__1(X5,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X2,c_Datatype__Universe_Ousum(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4596]) ).
cnf(c_0_4596_1,axiom,
( c_in(c_Main_OusumE__1(X5,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__2(X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X2,c_Datatype__Universe_Ousum(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4596]) ).
cnf(c_0_4596_2,axiom,
( ~ c_in(X2,c_Datatype__Universe_Ousum(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__1(X5,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__2(X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4596]) ).
cnf(c_0_4597_0,axiom,
( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X3,X4),X3,X4) = X1
| c_in(c_Main_OusumE__2(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4597]) ).
cnf(c_0_4597_1,axiom,
( c_in(c_Main_OusumE__2(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X3,X4),X3,X4) = X1
| ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4597]) ).
cnf(c_0_4597_2,axiom,
( ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__2(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X3,X4),X3,X4) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4597]) ).
cnf(c_0_4598_0,axiom,
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
| c_in(c_Main_OusumE__1(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4598]) ).
cnf(c_0_4598_1,axiom,
( c_in(c_Main_OusumE__1(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
| ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4598]) ).
cnf(c_0_4598_2,axiom,
( ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__1(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4598]) ).
cnf(c_0_4599_0,axiom,
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X5,X1,X3,X4),X3,X4) = X1
| ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4599]) ).
cnf(c_0_4599_1,axiom,
( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X5,X1,X3,X4),X3,X4) = X1
| c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
| ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4599]) ).
cnf(c_0_4599_2,axiom,
( ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X5,X1,X3,X4),X3,X4) = X1
| c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4599]) ).
cnf(c_0_4600_0,axiom,
( c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
| c_Sum__Type_OInl(c_Main_OPlusE__1(X5,X1,X4,X3),X4,X3) = X1
| ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4600]) ).
cnf(c_0_4600_1,axiom,
( c_Sum__Type_OInl(c_Main_OPlusE__1(X5,X1,X4,X3),X4,X3) = X1
| c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
| ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4600]) ).
cnf(c_0_4600_2,axiom,
( ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3))
| c_Sum__Type_OInl(c_Main_OPlusE__1(X5,X1,X4,X3),X4,X3) = X1
| c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4600]) ).
cnf(c_0_4601_0,axiom,
( c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4) = X1
| c_in(c_Main_OPlusE__2(X5,X1,X4,X3),X5,X4)
| ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4601]) ).
cnf(c_0_4601_1,axiom,
( c_in(c_Main_OPlusE__2(X5,X1,X4,X3),X5,X4)
| c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4) = X1
| ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4601]) ).
cnf(c_0_4601_2,axiom,
( ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4))
| c_in(c_Main_OPlusE__2(X5,X1,X4,X3),X5,X4)
| c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4601]) ).
cnf(c_0_4602_0,axiom,
( c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
| c_in(c_Main_OPlusE__1(X5,X1,X4,X3),X5,X4)
| ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4602]) ).
cnf(c_0_4602_1,axiom,
( c_in(c_Main_OPlusE__1(X5,X1,X4,X3),X5,X4)
| c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
| ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4602]) ).
cnf(c_0_4602_2,axiom,
( ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3))
| c_in(c_Main_OPlusE__1(X5,X1,X4,X3),X5,X4)
| c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4602]) ).
cnf(c_0_4603_0,axiom,
( c_in(c_Main_OPlusE__2(X1,X2,X3,X4),X1,X3)
| c_in(c_Main_OPlusE__1(X5,X2,X4,X3),X5,X4)
| ~ c_in(X2,c_Sum__Type_OPlus(X5,X1,X4,X3),tc_sum(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4603]) ).
cnf(c_0_4603_1,axiom,
( c_in(c_Main_OPlusE__1(X5,X2,X4,X3),X5,X4)
| c_in(c_Main_OPlusE__2(X1,X2,X3,X4),X1,X3)
| ~ c_in(X2,c_Sum__Type_OPlus(X5,X1,X4,X3),tc_sum(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4603]) ).
cnf(c_0_4603_2,axiom,
( ~ c_in(X2,c_Sum__Type_OPlus(X5,X1,X4,X3),tc_sum(X4,X3))
| c_in(c_Main_OPlusE__1(X5,X2,X4,X3),X5,X4)
| c_in(c_Main_OPlusE__2(X1,X2,X3,X4),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4603]) ).
cnf(c_0_4604_0,axiom,
( c_Wellfounded__Recursion_Oacyclic(X1,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4604]) ).
cnf(c_0_4604_1,axiom,
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
| c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4604]) ).
cnf(c_0_4605_0,axiom,
( c_Wellfounded__Recursion_Owf(X1,X2)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4605]) ).
cnf(c_0_4605_1,axiom,
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
| c_Wellfounded__Recursion_Owf(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4605]) ).
cnf(c_0_4606_0,axiom,
( c_in(c_Pair(X1,c_Main_ODomainE__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
| ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4606]) ).
cnf(c_0_4606_1,axiom,
( ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
| c_in(c_Pair(X1,c_Main_ODomainE__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4606]) ).
cnf(c_0_4607_0,axiom,
( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
| ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4607]) ).
cnf(c_0_4607_1,axiom,
( ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3)
| c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4607]) ).
cnf(c_0_4608_0,axiom,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| ~ c_Wellfounded__Recursion_Oacyclic(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4608]) ).
cnf(c_0_4608_1,axiom,
( c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_Wellfounded__Recursion_Oacyclic(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4608]) ).
cnf(c_0_4608_2,axiom,
( ~ c_Wellfounded__Recursion_Oacyclic(X4,X3)
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4608]) ).
cnf(c_0_4609_0,axiom,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| ~ c_Wellfounded__Recursion_Owf(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4609]) ).
cnf(c_0_4609_1,axiom,
( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_Wellfounded__Recursion_Owf(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4609]) ).
cnf(c_0_4609_2,axiom,
( ~ c_Wellfounded__Recursion_Owf(X4,X3)
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
| c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4609]) ).
cnf(c_0_4610_0,axiom,
( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
| ~ c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4610]) ).
cnf(c_0_4610_1,axiom,
( ~ c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4)
| c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4610]) ).
cnf(c_0_4611_0,axiom,
( c_Divides_Oop_Advd(X1,X2,tc_nat)
| ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4611]) ).
cnf(c_0_4611_1,axiom,
( ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4611]) ).
cnf(c_0_4612_0,axiom,
( c_Divides_Oop_Advd(X1,X2,tc_nat)
| ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4612]) ).
cnf(c_0_4612_1,axiom,
( ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4612]) ).
cnf(c_0_4613_0,axiom,
( c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5)
| ~ c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_4613]) ).
cnf(c_0_4613_1,axiom,
( ~ c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5))
| c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_4613]) ).
cnf(c_0_4614_0,axiom,
( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
| ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4614]) ).
cnf(c_0_4614_1,axiom,
( ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4614]) ).
cnf(c_0_4615_0,axiom,
( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
| ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4615]) ).
cnf(c_0_4615_1,axiom,
( ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3))
| c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4615]) ).
cnf(c_0_4616_0,axiom,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4616]) ).
cnf(c_0_4616_1,axiom,
( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
| c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4616]) ).
cnf(c_0_4617_0,axiom,
( c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
| ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
| ~ c_in(X6,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4617]) ).
cnf(c_0_4617_1,axiom,
( ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
| c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
| ~ c_in(X6,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4617]) ).
cnf(c_0_4617_2,axiom,
( ~ c_in(X6,X3,X4)
| ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
| c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_4617]) ).
cnf(c_0_4618_0,axiom,
( c_Pair(c_Main_OconverseE__2(X2,X1,X3,X4),c_Main_OconverseE__1(X2,X1,X3,X4),X4,X3) = X1
| ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4618]) ).
cnf(c_0_4618_1,axiom,
( ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3))
| c_Pair(c_Main_OconverseE__2(X2,X1,X3,X4),c_Main_OconverseE__1(X2,X1,X3,X4),X4,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4618]) ).
cnf(c_0_4619_0,axiom,
( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4619]) ).
cnf(c_0_4619_1,axiom,
( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
| c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4619]) ).
cnf(c_0_4620_0,axiom,
( c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4620]) ).
cnf(c_0_4620_1,axiom,
( ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4620]) ).
cnf(c_0_4620_2,axiom,
( ~ c_in(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4620]) ).
cnf(c_0_4621_0,axiom,
( c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
| ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
| ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4621]) ).
cnf(c_0_4621_1,axiom,
( ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
| c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
| ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4621]) ).
cnf(c_0_4621_2,axiom,
( ~ c_Divides_Oop_Advd(X1,X3,tc_nat)
| ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
| c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4621]) ).
cnf(c_0_4622_0,axiom,
( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
| ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4622]) ).
cnf(c_0_4622_1,axiom,
( ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4))
| c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4622]) ).
cnf(c_0_4623_0,axiom,
( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
| ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4623]) ).
cnf(c_0_4623_1,axiom,
( ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4))
| c_in(X1,c_Relation_ORange(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4623]) ).
cnf(c_0_4624_0,axiom,
( X1 = c_List_Olist_ONil
| ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4624]) ).
cnf(c_0_4624_1,axiom,
( ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4624]) ).
cnf(c_0_4625_0,axiom,
( X1 = c_List_Olist_ONil
| ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4625]) ).
cnf(c_0_4625_1,axiom,
( ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4625]) ).
cnf(c_0_4626_0,axiom,
( c_less(X1,X2,tc_nat)
| ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
inference(literals_permutation,[status(thm)],[c_0_4626]) ).
cnf(c_0_4626_1,axiom,
( ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| c_less(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4626]) ).
cnf(c_0_4627_0,axiom,
( X1 = X2
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4627]) ).
cnf(c_0_4627_1,axiom,
( ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4627]) ).
cnf(c_0_4628_0,axiom,
( c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4628]) ).
cnf(c_0_4628_1,axiom,
( ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4628]) ).
cnf(c_0_4629_0,axiom,
( c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4629]) ).
cnf(c_0_4629_1,axiom,
( ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4629]) ).
cnf(c_0_4630_0,axiom,
( c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4630]) ).
cnf(c_0_4630_1,axiom,
( ~ c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
| c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4630]) ).
cnf(c_0_4631_0,axiom,
( X1 = X2
| c_Datatype__Universe_OScons(X1,X3,X4,X5) != c_Datatype__Universe_OScons(X2,X6,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_4631]) ).
cnf(c_0_4631_1,axiom,
( c_Datatype__Universe_OScons(X1,X3,X4,X5) != c_Datatype__Universe_OScons(X2,X6,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4631]) ).
cnf(c_0_4632_0,axiom,
( X1 = X2
| c_Datatype__Universe_OScons(X3,X1,X4,X5) != c_Datatype__Universe_OScons(X6,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_4632]) ).
cnf(c_0_4632_1,axiom,
( c_Datatype__Universe_OScons(X3,X1,X4,X5) != c_Datatype__Universe_OScons(X6,X2,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4632]) ).
cnf(c_0_4633_0,axiom,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_4633]) ).
cnf(c_0_4633_1,axiom,
( c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4633]) ).
cnf(c_0_4634_0,axiom,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_4634]) ).
cnf(c_0_4634_1,axiom,
( c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4634]) ).
cnf(c_0_4635_0,axiom,
( c_in(c_Sum__Type_OInl(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X2,X3),tc_sum(X2,X3))
| ~ c_in(X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4635]) ).
cnf(c_0_4635_1,axiom,
( ~ c_in(X1,X4,X2)
| c_in(c_Sum__Type_OInl(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X2,X3),tc_sum(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4635]) ).
cnf(c_0_4636_0,axiom,
( c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X3,X2),tc_sum(X3,X2))
| ~ c_in(X1,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4636]) ).
cnf(c_0_4636_1,axiom,
( ~ c_in(X1,X5,X2)
| c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X3,X2),tc_sum(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4636]) ).
cnf(c_0_4637_0,axiom,
( c_in(c_Pair(X1,X1,X2,X2),c_Relation_Odiag(X3,X2),tc_prod(X2,X2))
| ~ c_in(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4637]) ).
cnf(c_0_4637_1,axiom,
( ~ c_in(X1,X3,X2)
| c_in(c_Pair(X1,X1,X2,X2),c_Relation_Odiag(X3,X2),tc_prod(X2,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4637]) ).
cnf(c_0_4638_0,axiom,
( c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
| ~ c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4638]) ).
cnf(c_0_4638_1,axiom,
( ~ c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
| c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4638]) ).
cnf(c_0_4639_0,axiom,
( c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| ~ c_less(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4639]) ).
cnf(c_0_4639_1,axiom,
( ~ c_less(X1,X2,tc_nat)
| c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
inference(literals_permutation,[status(thm)],[c_0_4639]) ).
cnf(c_0_4640_0,axiom,
( c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3) = X1
| ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4640]) ).
cnf(c_0_4640_1,axiom,
( ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3))
| c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4640]) ).
cnf(c_0_4641_0,axiom,
( X1 = X2
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4641]) ).
cnf(c_0_4641_1,axiom,
( c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4641]) ).
cnf(c_0_4641_2,axiom,
( ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| X1 = X2
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4641]) ).
cnf(c_0_4641_3,axiom,
( ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| X1 = X2
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4641]) ).
cnf(c_0_4641_4,axiom,
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4641]) ).
cnf(c_0_4642_0,axiom,
( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
| ~ c_Relation_Otrans(X1,X3)
| ~ c_Relation_Otrans(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4642]) ).
cnf(c_0_4642_1,axiom,
( ~ c_Relation_Otrans(X1,X3)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
| ~ c_Relation_Otrans(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4642]) ).
cnf(c_0_4642_2,axiom,
( ~ c_Relation_Otrans(X2,X4)
| ~ c_Relation_Otrans(X1,X3)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4642]) ).
cnf(c_0_4643_0,axiom,
( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
| ~ c_Wellfounded__Recursion_Owf(X1,X3)
| ~ c_Wellfounded__Recursion_Owf(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4643]) ).
cnf(c_0_4643_1,axiom,
( ~ c_Wellfounded__Recursion_Owf(X1,X3)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
| ~ c_Wellfounded__Recursion_Owf(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4643]) ).
cnf(c_0_4643_2,axiom,
( ~ c_Wellfounded__Recursion_Owf(X2,X4)
| ~ c_Wellfounded__Recursion_Owf(X1,X3)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4643]) ).
cnf(c_0_4644_0,axiom,
( X1 = X2
| c_append(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil,X4),X4) != c_append(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4644]) ).
cnf(c_0_4644_1,axiom,
( c_append(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil,X4),X4) != c_append(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil,X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4644]) ).
cnf(c_0_4645_0,axiom,
( X1 = X2
| c_append(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil,X4),X4) != c_append(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4645]) ).
cnf(c_0_4645_1,axiom,
( c_append(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil,X4),X4) != c_append(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil,X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4645]) ).
cnf(c_0_4646_0,axiom,
( c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4646]) ).
cnf(c_0_4646_1,axiom,
( ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
| c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4646]) ).
cnf(c_0_4646_2,axiom,
( ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
| c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4646]) ).
cnf(c_0_4647_0,axiom,
( c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
| ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4647]) ).
cnf(c_0_4647_1,axiom,
( ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
| c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4647]) ).
cnf(c_0_4648_0,axiom,
( c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2) = X1
| ~ c_in(X1,c_Relation_OId,tc_prod(X2,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4648]) ).
cnf(c_0_4648_1,axiom,
( ~ c_in(X1,c_Relation_OId,tc_prod(X2,X2))
| c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4648]) ).
cnf(c_0_4649_0,axiom,
( c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4649]) ).
cnf(c_0_4649_1,axiom,
( ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
| c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4649]) ).
cnf(c_0_4649_2,axiom,
( ~ c_in(X1,X4,X3)
| ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
| c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4649]) ).
cnf(c_0_4650_0,axiom,
( c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4650]) ).
cnf(c_0_4650_1,axiom,
( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
| c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4650]) ).
cnf(c_0_4651_0,axiom,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_append(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4651]) ).
cnf(c_0_4651_1,axiom,
( ~ c_in(c_append(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
| c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4651]) ).
cnf(c_0_4652_0,axiom,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4652]) ).
cnf(c_0_4652_1,axiom,
( ~ c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
| c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4652]) ).
cnf(c_0_4653_0,axiom,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Olist_OCons(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4653]) ).
cnf(c_0_4653_1,axiom,
( ~ c_in(c_List_Olist_OCons(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
| c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4653]) ).
cnf(c_0_4654_0,axiom,
( c_insert(X1,X2,X3) = c_insert(X1,c_emptyset,X3)
| ~ c_lessequals(X2,c_insert(X1,c_emptyset,X3),tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4654]) ).
cnf(c_0_4654_1,axiom,
( ~ c_lessequals(X2,c_insert(X1,c_emptyset,X3),tc_set(X3))
| c_insert(X1,X2,X3) = c_insert(X1,c_emptyset,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4654]) ).
cnf(c_0_4655_0,axiom,
( c_insert(X1,c_emptyset,X2) = c_insert(X1,X3,X2)
| ~ c_lessequals(X3,c_insert(X1,c_emptyset,X2),tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4655]) ).
cnf(c_0_4655_1,axiom,
( ~ c_lessequals(X3,c_insert(X1,c_emptyset,X2),tc_set(X2))
| c_insert(X1,c_emptyset,X2) = c_insert(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4655]) ).
cnf(c_0_4656_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_union(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4656]) ).
cnf(c_0_4656_1,axiom,
( c_in(X1,X4,X3)
| c_in(X1,X2,X3)
| ~ c_in(X1,c_union(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4656]) ).
cnf(c_0_4656_2,axiom,
( ~ c_in(X1,c_union(X2,X4,X3),X3)
| c_in(X1,X4,X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4656]) ).
cnf(c_0_4657_0,axiom,
( ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
| ~ c_in(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4657]) ).
cnf(c_0_4657_1,axiom,
( ~ c_in(X1,X3,X4)
| ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4657]) ).
cnf(c_0_4658_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4658]) ).
cnf(c_0_4658_1,axiom,
( ~ c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4658]) ).
cnf(c_0_4659_0,axiom,
( c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4659]) ).
cnf(c_0_4659_1,axiom,
( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
| c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4659]) ).
cnf(c_0_4659_2,axiom,
( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
| c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4659]) ).
cnf(c_0_4660_0,axiom,
( c_less(c_0,X1,tc_nat)
| c_less(c_0,X2,tc_nat)
| ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4660]) ).
cnf(c_0_4660_1,axiom,
( c_less(c_0,X2,tc_nat)
| c_less(c_0,X1,tc_nat)
| ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4660]) ).
cnf(c_0_4660_2,axiom,
( ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
| c_less(c_0,X2,tc_nat)
| c_less(c_0,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4660]) ).
cnf(c_0_4661_0,axiom,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(X2,X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4661]) ).
cnf(c_0_4661_1,axiom,
( ~ c_in(c_Main_Oin__listsI__1(X2,X1,X3),X2,X3)
| c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4661]) ).
cnf(c_0_4662_0,axiom,
( c_in(X1,c_Inter(X2,X3),X3)
| ~ c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4662]) ).
cnf(c_0_4662_1,axiom,
( ~ c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3)
| c_in(X1,c_Inter(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4662]) ).
cnf(c_0_4663_0,axiom,
( c_in(X1,c_inter(X2,X3,X4),X4)
| ~ c_in(X1,X2,X4)
| ~ c_in(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4663]) ).
cnf(c_0_4663_1,axiom,
( ~ c_in(X1,X2,X4)
| c_in(X1,c_inter(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4663]) ).
cnf(c_0_4663_2,axiom,
( ~ c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4)
| c_in(X1,c_inter(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4663]) ).
cnf(c_0_4664_0,axiom,
( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
| c_insert(X4,X1,X3) != c_insert(X2,c_emptyset,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4664]) ).
cnf(c_0_4664_1,axiom,
( c_insert(X4,X1,X3) != c_insert(X2,c_emptyset,X3)
| c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4664]) ).
cnf(c_0_4665_0,axiom,
( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
| c_insert(X2,c_emptyset,X3) != c_insert(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4665]) ).
cnf(c_0_4665_1,axiom,
( c_insert(X2,c_emptyset,X3) != c_insert(X4,X1,X3)
| c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4665]) ).
cnf(c_0_4666_0,axiom,
( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4666]) ).
cnf(c_0_4666_1,axiom,
( ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4666]) ).
cnf(c_0_4666_2,axiom,
( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4666]) ).
cnf(c_0_4667_0,axiom,
( c_in(c_Main_OdiagE__1(X1,X2,X3),X1,X3)
| ~ c_in(X2,c_Relation_Odiag(X1,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4667]) ).
cnf(c_0_4667_1,axiom,
( ~ c_in(X2,c_Relation_Odiag(X1,X3),tc_prod(X3,X3))
| c_in(c_Main_OdiagE__1(X1,X2,X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4667]) ).
cnf(c_0_4668_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_minus(X2,X4,tc_set(X3)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4668]) ).
cnf(c_0_4668_1,axiom,
( ~ c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4668]) ).
cnf(c_0_4669_0,axiom,
( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4669]) ).
cnf(c_0_4669_1,axiom,
( ~ c_in(c_union(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2))
| c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4669]) ).
cnf(c_0_4670_0,axiom,
( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4670]) ).
cnf(c_0_4670_1,axiom,
( ~ c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4670]) ).
cnf(c_0_4671_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_List_Oset(X4,X3),X3)
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4671]) ).
cnf(c_0_4671_1,axiom,
( ~ c_in(X1,c_List_Oset(X4,X3),X3)
| c_in(X1,X2,X3)
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4671]) ).
cnf(c_0_4671_2,axiom,
( ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X1,c_List_Oset(X4,X3),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4671]) ).
cnf(c_0_4672_0,axiom,
( c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4672]) ).
cnf(c_0_4672_1,axiom,
( c_in(X1,X3,X4)
| c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
| ~ c_in(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4672]) ).
cnf(c_0_4672_2,axiom,
( ~ c_in(X1,X2,X4)
| c_in(X1,X3,X4)
| c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4672]) ).
cnf(c_0_4673_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4673]) ).
cnf(c_0_4673_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4673]) ).
cnf(c_0_4674_0,axiom,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4674]) ).
cnf(c_0_4674_1,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4674]) ).
cnf(c_0_4674_2,axiom,
( ~ c_in(X1,c_insert(X2,X3,X4),X4)
| c_in(X1,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4674]) ).
cnf(c_0_4675_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4675]) ).
cnf(c_0_4675_1,axiom,
( ~ c_in(X1,c_inter(X4,X2,X3),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4675]) ).
cnf(c_0_4676_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4676]) ).
cnf(c_0_4676_1,axiom,
( ~ c_in(X1,c_inter(X2,X4,X3),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4676]) ).
cnf(c_0_4677_0,axiom,
( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
| ~ c_in(X1,c_Union(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4677]) ).
cnf(c_0_4677_1,axiom,
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4677]) ).
cnf(c_0_4678_0,axiom,
( X1 = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4678]) ).
cnf(c_0_4678_1,axiom,
( c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3)
| X1 = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4678]) ).
cnf(c_0_4679_0,axiom,
( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4679]) ).
cnf(c_0_4679_1,axiom,
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4679]) ).
cnf(c_0_4680_0,axiom,
( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4680]) ).
cnf(c_0_4680_1,axiom,
( c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
| c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4680]) ).
cnf(c_0_4680_2,axiom,
( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
| c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4680]) ).
cnf(c_0_4681_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_Inter(X4,X3),X3)
| ~ c_in(X2,X4,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4681]) ).
cnf(c_0_4681_1,axiom,
( ~ c_in(X1,c_Inter(X4,X3),X3)
| c_in(X1,X2,X3)
| ~ c_in(X2,X4,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4681]) ).
cnf(c_0_4681_2,axiom,
( ~ c_in(X2,X4,tc_set(X3))
| ~ c_in(X1,c_Inter(X4,X3),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4681]) ).
cnf(c_0_4682_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4682]) ).
cnf(c_0_4682_1,axiom,
( ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4682]) ).
cnf(c_0_4683_0,axiom,
( c_in(c_Main_Oin__listsI__1(X1,X2,X3),c_List_Oset(X2,X3),X3)
| c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4683]) ).
cnf(c_0_4683_1,axiom,
( c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3))
| c_in(c_Main_Oin__listsI__1(X1,X2,X3),c_List_Oset(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4683]) ).
cnf(c_0_4684_0,axiom,
( c_in(X1,c_Union(X2,X3),X3)
| ~ c_in(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4684]) ).
cnf(c_0_4684_1,axiom,
( ~ c_in(X4,X2,tc_set(X3))
| c_in(X1,c_Union(X2,X3),X3)
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4684]) ).
cnf(c_0_4684_2,axiom,
( ~ c_in(X1,X4,X3)
| ~ c_in(X4,X2,tc_set(X3))
| c_in(X1,c_Union(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4684]) ).
cnf(c_0_4685_0,axiom,
( c_in(c_insert(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4685]) ).
cnf(c_0_4685_1,axiom,
( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
| c_in(c_insert(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4685]) ).
cnf(c_0_4686_0,axiom,
( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4686]) ).
cnf(c_0_4686_1,axiom,
( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
| c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4686]) ).
cnf(c_0_4687_0,axiom,
( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4687]) ).
cnf(c_0_4687_1,axiom,
( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
| c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4687]) ).
cnf(c_0_4688_0,axiom,
( X1 = X2
| ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4688]) ).
cnf(c_0_4688_1,axiom,
( ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4688]) ).
cnf(c_0_4689_0,axiom,
( c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3))
| c_in(X1,c_Inter(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4689]) ).
cnf(c_0_4689_1,axiom,
( c_in(X1,c_Inter(X2,X3),X3)
| c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4689]) ).
cnf(c_0_4690_0,axiom,
( c_in(X1,c_union(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4690]) ).
cnf(c_0_4690_1,axiom,
( ~ c_in(X1,X3,X4)
| c_in(X1,c_union(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4690]) ).
cnf(c_0_4691_0,axiom,
( c_in(X1,c_union(X2,X3,X4),X4)
| ~ c_in(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4691]) ).
cnf(c_0_4691_1,axiom,
( ~ c_in(X1,X2,X4)
| c_in(X1,c_union(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4691]) ).
cnf(c_0_4692_0,axiom,
( c_in(X1,c_insert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4692]) ).
cnf(c_0_4692_1,axiom,
( ~ c_in(X1,X3,X4)
| c_in(X1,c_insert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_4692]) ).
cnf(c_0_4693_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OatLeast(X2,X3),c_SetInterval_OatLeast(X1,X3),tc_set(X3))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4693]) ).
cnf(c_0_4693_1,axiom,
( ~ c_lessequals(c_SetInterval_OatLeast(X2,X3),c_SetInterval_OatLeast(X1,X3),tc_set(X3))
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4693]) ).
cnf(c_0_4693_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(c_SetInterval_OatLeast(X2,X3),c_SetInterval_OatLeast(X1,X3),tc_set(X3))
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4693]) ).
cnf(c_0_4694_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OatMost(X1,X3),c_SetInterval_OatMost(X2,X3),tc_set(X3))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4694]) ).
cnf(c_0_4694_1,axiom,
( ~ c_lessequals(c_SetInterval_OatMost(X1,X3),c_SetInterval_OatMost(X2,X3),tc_set(X3))
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4694]) ).
cnf(c_0_4694_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(c_SetInterval_OatMost(X1,X3),c_SetInterval_OatMost(X2,X3),tc_set(X3))
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4694]) ).
cnf(c_0_4695_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X3),c_SetInterval_OgreaterThan(X1,X3),tc_set(X3))
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4695]) ).
cnf(c_0_4695_1,axiom,
( ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X3),c_SetInterval_OgreaterThan(X1,X3),tc_set(X3))
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4695]) ).
cnf(c_0_4695_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X3),c_SetInterval_OgreaterThan(X1,X3),tc_set(X3))
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4695]) ).
cnf(c_0_4696_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_OlessThan(X1,X3),c_SetInterval_OlessThan(X2,X3),tc_set(X3))
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4696]) ).
cnf(c_0_4696_1,axiom,
( ~ c_lessequals(c_SetInterval_OlessThan(X1,X3),c_SetInterval_OlessThan(X2,X3),tc_set(X3))
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4696]) ).
cnf(c_0_4696_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(c_SetInterval_OlessThan(X1,X3),c_SetInterval_OlessThan(X2,X3),tc_set(X3))
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4696]) ).
cnf(c_0_4697_0,axiom,
( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
| ~ c_less(c_0,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4697]) ).
cnf(c_0_4697_1,axiom,
( ~ c_less(c_0,X1,tc_nat)
| c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4697]) ).
cnf(c_0_4698_0,axiom,
( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
| ~ c_less(c_0,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4698]) ).
cnf(c_0_4698_1,axiom,
( ~ c_less(c_0,X2,tc_nat)
| c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4698]) ).
cnf(c_0_4699_0,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4699]) ).
cnf(c_0_4699_1,axiom,
( ~ c_lessequals(X4,X2,tc_set(X3))
| c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4699]) ).
cnf(c_0_4699_2,axiom,
( ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4699]) ).
cnf(c_0_4700_0,axiom,
( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
| ~ c_in(X1,X2,tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4700]) ).
cnf(c_0_4700_1,axiom,
( ~ c_in(X1,X2,tc_prod(X3,X3))
| c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4700]) ).
cnf(c_0_4701_0,axiom,
( c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4701]) ).
cnf(c_0_4701_1,axiom,
( ~ c_lessequals(X3,X1,tc_set(X2))
| c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4701]) ).
cnf(c_0_4702_0,axiom,
( ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4702]) ).
cnf(c_0_4702_1,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4702]) ).
cnf(c_0_4703_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4703]) ).
cnf(c_0_4703_1,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4703]) ).
cnf(c_0_4704_0,axiom,
( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4704]) ).
cnf(c_0_4704_1,axiom,
( ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4704]) ).
cnf(c_0_4705_0,axiom,
( c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X3,X2),tc_set(X2))
| ~ c_lessequals(X3,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4705]) ).
cnf(c_0_4705_1,axiom,
( ~ c_lessequals(X3,X1,X2)
| c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X3,X2),tc_set(X2))
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4705]) ).
cnf(c_0_4705_2,axiom,
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X3,X1,X2)
| c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X3,X2),tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4705]) ).
cnf(c_0_4706_0,axiom,
( c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X3,X2),tc_set(X2))
| ~ c_lessequals(X1,X3,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4706]) ).
cnf(c_0_4706_1,axiom,
( ~ c_lessequals(X1,X3,X2)
| c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X3,X2),tc_set(X2))
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4706]) ).
cnf(c_0_4706_2,axiom,
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X1,X3,X2)
| c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X3,X2),tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4706]) ).
cnf(c_0_4707_0,axiom,
( c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X3,X2),tc_set(X2))
| ~ c_lessequals(X3,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4707]) ).
cnf(c_0_4707_1,axiom,
( ~ c_lessequals(X3,X1,X2)
| c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X3,X2),tc_set(X2))
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4707]) ).
cnf(c_0_4707_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X3,X1,X2)
| c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X3,X2),tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4707]) ).
cnf(c_0_4708_0,axiom,
( c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X3,X2),tc_set(X2))
| ~ c_lessequals(X1,X3,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4708]) ).
cnf(c_0_4708_1,axiom,
( ~ c_lessequals(X1,X3,X2)
| c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X3,X2),tc_set(X2))
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4708]) ).
cnf(c_0_4708_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X1,X3,X2)
| c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X3,X2),tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4708]) ).
cnf(c_0_4709_0,axiom,
( c_Wellfounded__Recursion_Oacyclic(X1,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4709]) ).
cnf(c_0_4709_1,axiom,
( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
| c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4709]) ).
cnf(c_0_4710_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4710]) ).
cnf(c_0_4710_1,axiom,
( ~ c_in(X1,c_Pow(X2,X3),tc_set(X3))
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4710]) ).
cnf(c_0_4711_0,axiom,
( X1 = X2
| ~ c_in(X2,X3,X4)
| ~ c_in(X1,X3,X4)
| ~ c_Infinite__Set_Oatmost__one(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4711]) ).
cnf(c_0_4711_1,axiom,
( ~ c_in(X2,X3,X4)
| X1 = X2
| ~ c_in(X1,X3,X4)
| ~ c_Infinite__Set_Oatmost__one(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4711]) ).
cnf(c_0_4711_2,axiom,
( ~ c_in(X1,X3,X4)
| ~ c_in(X2,X3,X4)
| X1 = X2
| ~ c_Infinite__Set_Oatmost__one(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4711]) ).
cnf(c_0_4711_3,axiom,
( ~ c_Infinite__Set_Oatmost__one(X3,X4)
| ~ c_in(X1,X3,X4)
| ~ c_in(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4711]) ).
cnf(c_0_4712_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4712]) ).
cnf(c_0_4712_1,axiom,
( ~ c_lessequals(X1,X2,tc_set(X3))
| X1 = X2
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4712]) ).
cnf(c_0_4712_2,axiom,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4712]) ).
cnf(c_0_4713_0,axiom,
( ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_less(X2,X1,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4713]) ).
cnf(c_0_4713_1,axiom,
( ~ c_less(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4713]) ).
cnf(c_0_4714_0,axiom,
( c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4714]) ).
cnf(c_0_4714_1,axiom,
( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4714]) ).
cnf(c_0_4715_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_in(X2,c_SetInterval_OatLeast(X1,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4715]) ).
cnf(c_0_4715_1,axiom,
( ~ c_in(X2,c_SetInterval_OatLeast(X1,X3),X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4715]) ).
cnf(c_0_4715_2,axiom,
( ~ class_Orderings_Oord(X3)
| ~ c_in(X2,c_SetInterval_OatLeast(X1,X3),X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4715]) ).
cnf(c_0_4716_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4716]) ).
cnf(c_0_4716_1,axiom,
( ~ c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4716]) ).
cnf(c_0_4716_2,axiom,
( ~ class_Orderings_Oord(X3)
| ~ c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4716]) ).
cnf(c_0_4717_0,axiom,
( c_less(X1,X2,X3)
| ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4717]) ).
cnf(c_0_4717_1,axiom,
( ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X3),X3)
| c_less(X1,X2,X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4717]) ).
cnf(c_0_4717_2,axiom,
( ~ class_Orderings_Oord(X3)
| ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X3),X3)
| c_less(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4717]) ).
cnf(c_0_4718_0,axiom,
( c_less(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4718]) ).
cnf(c_0_4718_1,axiom,
( ~ c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
| c_less(X1,X2,X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4718]) ).
cnf(c_0_4718_2,axiom,
( ~ class_Orderings_Oord(X3)
| ~ c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
| c_less(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4718]) ).
cnf(c_0_4719_0,axiom,
( c_in(X1,c_Pow(X2,X3),tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4719]) ).
cnf(c_0_4719_1,axiom,
( ~ c_lessequals(X1,X2,tc_set(X3))
| c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4719]) ).
cnf(c_0_4720_0,axiom,
( c_in(X1,c_SetInterval_OatLeast(X2,X3),X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4720]) ).
cnf(c_0_4720_1,axiom,
( ~ c_lessequals(X2,X1,X3)
| c_in(X1,c_SetInterval_OatLeast(X2,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4720]) ).
cnf(c_0_4720_2,axiom,
( ~ class_Orderings_Oord(X3)
| ~ c_lessequals(X2,X1,X3)
| c_in(X1,c_SetInterval_OatLeast(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4720]) ).
cnf(c_0_4721_0,axiom,
( c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4721]) ).
cnf(c_0_4721_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4721]) ).
cnf(c_0_4721_2,axiom,
( ~ class_Orderings_Oord(X3)
| ~ c_lessequals(X1,X2,X3)
| c_in(X1,c_SetInterval_OatMost(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4721]) ).
cnf(c_0_4722_0,axiom,
( c_in(X1,c_SetInterval_OgreaterThan(X2,X3),X3)
| ~ c_less(X2,X1,X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4722]) ).
cnf(c_0_4722_1,axiom,
( ~ c_less(X2,X1,X3)
| c_in(X1,c_SetInterval_OgreaterThan(X2,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4722]) ).
cnf(c_0_4722_2,axiom,
( ~ class_Orderings_Oord(X3)
| ~ c_less(X2,X1,X3)
| c_in(X1,c_SetInterval_OgreaterThan(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4722]) ).
cnf(c_0_4723_0,axiom,
( c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
| ~ c_less(X1,X2,X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4723]) ).
cnf(c_0_4723_1,axiom,
( ~ c_less(X1,X2,X3)
| c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
| ~ class_Orderings_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4723]) ).
cnf(c_0_4723_2,axiom,
( ~ class_Orderings_Oord(X3)
| ~ c_less(X1,X2,X3)
| c_in(X1,c_SetInterval_OlessThan(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4723]) ).
cnf(c_0_4724_0,axiom,
( X1 = X2
| c_Datatype__Universe_OAtom(X1,X3,X4) != c_Datatype__Universe_OAtom(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4724]) ).
cnf(c_0_4724_1,axiom,
( c_Datatype__Universe_OAtom(X1,X3,X4) != c_Datatype__Universe_OAtom(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4724]) ).
cnf(c_0_4725_0,axiom,
( X1 = X2
| c_Datatype__Universe_OIn0(X1,X3,X4) != c_Datatype__Universe_OIn0(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4725]) ).
cnf(c_0_4725_1,axiom,
( c_Datatype__Universe_OIn0(X1,X3,X4) != c_Datatype__Universe_OIn0(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4725]) ).
cnf(c_0_4726_0,axiom,
( X1 = X2
| c_Datatype__Universe_OIn1(X1,X3,X4) != c_Datatype__Universe_OIn1(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4726]) ).
cnf(c_0_4726_1,axiom,
( c_Datatype__Universe_OIn1(X1,X3,X4) != c_Datatype__Universe_OIn1(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4726]) ).
cnf(c_0_4727_0,axiom,
( X1 = X2
| c_append(X1,X3,X4) != c_append(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4727]) ).
cnf(c_0_4727_1,axiom,
( c_append(X1,X3,X4) != c_append(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4727]) ).
cnf(c_0_4728_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4728]) ).
cnf(c_0_4728_1,axiom,
( c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4728]) ).
cnf(c_0_4729_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4729]) ).
cnf(c_0_4729_1,axiom,
( c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4729]) ).
cnf(c_0_4730_0,axiom,
( X1 = X2
| c_append(X3,X1,X4) != c_append(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4730]) ).
cnf(c_0_4730_1,axiom,
( c_append(X3,X1,X4) != c_append(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4730]) ).
cnf(c_0_4731_0,axiom,
( X1 = X2
| c_Sum__Type_OInl(X1,X3,X4) != c_Sum__Type_OInl(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4731]) ).
cnf(c_0_4731_1,axiom,
( c_Sum__Type_OInl(X1,X3,X4) != c_Sum__Type_OInl(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4731]) ).
cnf(c_0_4732_0,axiom,
( X1 = X2
| c_Sum__Type_OInr(X1,X3,X4) != c_Sum__Type_OInr(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4732]) ).
cnf(c_0_4732_1,axiom,
( c_Sum__Type_OInr(X1,X3,X4) != c_Sum__Type_OInr(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4732]) ).
cnf(c_0_4733_0,axiom,
( X1 = X2
| c_Datatype__Universe_OLeaf(X1,X3,X4) != c_Datatype__Universe_OLeaf(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4733]) ).
cnf(c_0_4733_1,axiom,
( c_Datatype__Universe_OLeaf(X1,X3,X4) != c_Datatype__Universe_OLeaf(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4733]) ).
cnf(c_0_4734_0,axiom,
( X1 = X2
| c_Datatype__Universe_ONumb(X1,X3,X4) != c_Datatype__Universe_ONumb(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4734]) ).
cnf(c_0_4734_1,axiom,
( c_Datatype__Universe_ONumb(X1,X3,X4) != c_Datatype__Universe_ONumb(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4734]) ).
cnf(c_0_4735_0,axiom,
( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(literals_permutation,[status(thm)],[c_0_4735]) ).
cnf(c_0_4735_1,axiom,
( ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
inference(literals_permutation,[status(thm)],[c_0_4735]) ).
cnf(c_0_4736_0,axiom,
( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
inference(literals_permutation,[status(thm)],[c_0_4736]) ).
cnf(c_0_4736_1,axiom,
( ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
inference(literals_permutation,[status(thm)],[c_0_4736]) ).
cnf(c_0_4737_0,axiom,
( X1 = X2
| c_insert(X1,X3,X4) != c_insert(X2,c_emptyset,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4737]) ).
cnf(c_0_4737_1,axiom,
( c_insert(X1,X3,X4) != c_insert(X2,c_emptyset,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4737]) ).
cnf(c_0_4738_0,axiom,
( X1 = X2
| c_insert(X2,c_emptyset,X3) != c_insert(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4738]) ).
cnf(c_0_4738_1,axiom,
( c_insert(X2,c_emptyset,X3) != c_insert(X1,X4,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4738]) ).
cnf(c_0_4739_0,axiom,
( X1 = X2
| c_insert(X1,c_emptyset,X3) != c_insert(X2,c_emptyset,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4739]) ).
cnf(c_0_4739_1,axiom,
( c_insert(X1,c_emptyset,X3) != c_insert(X2,c_emptyset,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4739]) ).
cnf(c_0_4740_0,axiom,
( c_times(X2,c_Main_Omod__eq__0D__dest__1(X2,X1),tc_nat) = X1
| c_Divides_Oop_Amod(X1,X2,tc_nat) != c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4740]) ).
cnf(c_0_4740_1,axiom,
( c_Divides_Oop_Amod(X1,X2,tc_nat) != c_0
| c_times(X2,c_Main_Omod__eq__0D__dest__1(X2,X1),tc_nat) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4740]) ).
cnf(c_0_4741_0,axiom,
( c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint) = X1
| c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint) != c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4741]) ).
cnf(c_0_4741_1,axiom,
( c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint) != c_0
| c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4741]) ).
cnf(c_0_4742_0,axiom,
( c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
inference(literals_permutation,[status(thm)],[c_0_4742]) ).
cnf(c_0_4742_1,axiom,
( ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(literals_permutation,[status(thm)],[c_0_4742]) ).
cnf(c_0_4743_0,axiom,
( c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
inference(literals_permutation,[status(thm)],[c_0_4743]) ).
cnf(c_0_4743_1,axiom,
( ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
inference(literals_permutation,[status(thm)],[c_0_4743]) ).
cnf(c_0_4744_0,axiom,
( X1 = X2
| c_less(X1,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4744]) ).
cnf(c_0_4744_1,axiom,
( c_less(X1,X2,tc_set(X3))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4744]) ).
cnf(c_0_4744_2,axiom,
( ~ c_lessequals(X1,X2,tc_set(X3))
| c_less(X1,X2,tc_set(X3))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4744]) ).
cnf(c_0_4745_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_less(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4745]) ).
cnf(c_0_4745_1,axiom,
( ~ c_less(X1,X2,tc_set(X3))
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4745]) ).
cnf(c_0_4746_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4746]) ).
cnf(c_0_4746_1,axiom,
( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4746]) ).
cnf(c_0_4747_0,axiom,
( c_less(X1,X2,tc_nat)
| ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4747]) ).
cnf(c_0_4747_1,axiom,
( ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat)
| c_less(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4747]) ).
cnf(c_0_4748_0,axiom,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4748]) ).
cnf(c_0_4748_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4748]) ).
cnf(c_0_4749_0,axiom,
( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_less(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4749]) ).
cnf(c_0_4749_1,axiom,
( ~ c_less(X1,X2,tc_nat)
| c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4749]) ).
cnf(c_0_4750_0,axiom,
( c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4750]) ).
cnf(c_0_4750_1,axiom,
( c_in(X1,X2,X3)
| c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4750]) ).
cnf(c_0_4751_0,axiom,
( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
| ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4751]) ).
cnf(c_0_4751_1,axiom,
( ~ c_Wellfounded__Recursion_Oacyclic(X1,X2)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4751]) ).
cnf(c_0_4752_0,axiom,
( X1 = c_Datatype_Ooption_OSome(X2,X3)
| ~ c_in(X2,c_Datatype_Oo2s(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4752]) ).
cnf(c_0_4752_1,axiom,
( ~ c_in(X2,c_Datatype_Oo2s(X1,X3),X3)
| X1 = c_Datatype_Ooption_OSome(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4752]) ).
cnf(c_0_4753_0,axiom,
( c_List_Oremdups(X1,X2) = X1
| c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4753]) ).
cnf(c_0_4753_1,axiom,
( c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2))
| c_List_Oremdups(X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4753]) ).
cnf(c_0_4754_0,axiom,
( ~ c_less(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4754]) ).
cnf(c_0_4754_1,axiom,
( ~ class_Orderings_Oorder(X2)
| ~ c_less(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4754]) ).
cnf(c_0_4755_0,axiom,
( X1 = c_List_Olist_ONil
| c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4755]) ).
cnf(c_0_4755_1,axiom,
( c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4755]) ).
cnf(c_0_4756_0,axiom,
( c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2))
| c_List_Oremdups(X1,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4756]) ).
cnf(c_0_4756_1,axiom,
( c_List_Oremdups(X1,X2) != X1
| c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4756]) ).
cnf(c_0_4757_0,axiom,
( X1 = c_0
| ~ c_less(X1,c_Suc(c_0),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4757]) ).
cnf(c_0_4757_1,axiom,
( ~ c_less(X1,c_Suc(c_0),tc_nat)
| X1 = c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4757]) ).
cnf(c_0_4758_0,axiom,
( X1 = c_List_Olist_ONil
| c_append(X1,X2,X3) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4758]) ).
cnf(c_0_4758_1,axiom,
( c_append(X1,X2,X3) != X2
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4758]) ).
cnf(c_0_4759_0,axiom,
( X1 = c_List_Olist_ONil
| c_append(X2,X1,X3) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4759]) ).
cnf(c_0_4759_1,axiom,
( c_append(X2,X1,X3) != X2
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4759]) ).
cnf(c_0_4760_0,axiom,
( X1 = c_List_Olist_ONil
| c_append(X1,X2,X3) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4760]) ).
cnf(c_0_4760_1,axiom,
( c_append(X1,X2,X3) != X2
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4760]) ).
cnf(c_0_4761_0,axiom,
( X1 = c_List_Olist_ONil
| c_append(X2,X1,X3) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4761]) ).
cnf(c_0_4761_1,axiom,
( c_append(X2,X1,X3) != X2
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4761]) ).
cnf(c_0_4762_0,axiom,
( X1 = c_emptyset
| c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
inference(literals_permutation,[status(thm)],[c_0_4762]) ).
cnf(c_0_4762_1,axiom,
( c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset
| X1 = c_emptyset ),
inference(literals_permutation,[status(thm)],[c_0_4762]) ).
cnf(c_0_4763_0,axiom,
( X1 = c_emptyset
| c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
inference(literals_permutation,[status(thm)],[c_0_4763]) ).
cnf(c_0_4763_1,axiom,
( c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset
| X1 = c_emptyset ),
inference(literals_permutation,[status(thm)],[c_0_4763]) ).
cnf(c_0_4764_0,axiom,
( X1 = c_List_Olist_ONil
| c_append(X1,X2,X3) != c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4764]) ).
cnf(c_0_4764_1,axiom,
( c_append(X1,X2,X3) != c_List_Olist_ONil
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4764]) ).
cnf(c_0_4765_0,axiom,
( X1 = c_List_Olist_ONil
| c_append(X2,X1,X3) != c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4765]) ).
cnf(c_0_4765_1,axiom,
( c_append(X2,X1,X3) != c_List_Olist_ONil
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4765]) ).
cnf(c_0_4766_0,axiom,
( X1 = c_List_Olist_ONil
| c_append(X1,X2,X3) != c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4766]) ).
cnf(c_0_4766_1,axiom,
( c_append(X1,X2,X3) != c_List_Olist_ONil
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4766]) ).
cnf(c_0_4767_0,axiom,
( X1 = c_List_Olist_ONil
| c_append(X2,X1,X3) != c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4767]) ).
cnf(c_0_4767_1,axiom,
( c_append(X2,X1,X3) != c_List_Olist_ONil
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4767]) ).
cnf(c_0_4768_0,axiom,
( X1 = c_emptyset
| c_union(X1,X2,X3) != c_emptyset ),
inference(literals_permutation,[status(thm)],[c_0_4768]) ).
cnf(c_0_4768_1,axiom,
( c_union(X1,X2,X3) != c_emptyset
| X1 = c_emptyset ),
inference(literals_permutation,[status(thm)],[c_0_4768]) ).
cnf(c_0_4769_0,axiom,
( X1 = c_emptyset
| c_union(X2,X1,X3) != c_emptyset ),
inference(literals_permutation,[status(thm)],[c_0_4769]) ).
cnf(c_0_4769_1,axiom,
( c_union(X2,X1,X3) != c_emptyset
| X1 = c_emptyset ),
inference(literals_permutation,[status(thm)],[c_0_4769]) ).
cnf(c_0_4770_0,axiom,
( X1 = c_0
| c_plus(X1,X2,tc_nat) != c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4770]) ).
cnf(c_0_4770_1,axiom,
( c_plus(X1,X2,tc_nat) != c_0
| X1 = c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4770]) ).
cnf(c_0_4771_0,axiom,
( X1 = c_0
| c_plus(X2,X1,tc_nat) != c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4771]) ).
cnf(c_0_4771_1,axiom,
( c_plus(X2,X1,tc_nat) != c_0
| X1 = c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4771]) ).
cnf(c_0_4772_0,axiom,
( X1 = c_0
| ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4772]) ).
cnf(c_0_4772_1,axiom,
( ~ c_Divides_Oop_Advd(c_0,X1,tc_nat)
| X1 = c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4772]) ).
cnf(c_0_4773_0,axiom,
( X1 = c_0
| ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
inference(literals_permutation,[status(thm)],[c_0_4773]) ).
cnf(c_0_4773_1,axiom,
( ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint)
| X1 = c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4773]) ).
cnf(c_0_4774_0,axiom,
( X1 = c_0
| ~ c_lessequals(X1,c_0,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4774]) ).
cnf(c_0_4774_1,axiom,
( ~ c_lessequals(X1,c_0,tc_nat)
| X1 = c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4774]) ).
cnf(c_0_4775_0,axiom,
( X1 = c_0
| ~ c_less(X1,c_1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4775]) ).
cnf(c_0_4775_1,axiom,
( ~ c_less(X1,c_1,tc_nat)
| X1 = c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4775]) ).
cnf(c_0_4776_0,axiom,
( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X1,X2),tc_List_Olist(X2))
| ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4776]) ).
cnf(c_0_4776_1,axiom,
( ~ c_Wellfounded__Recursion_Owf(X1,X2)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X1,X2),tc_List_Olist(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4776]) ).
cnf(c_0_4777_0,axiom,
( c_Wellfounded__Recursion_Owf(c_List_Olex(X1,X2),tc_List_Olist(X2))
| ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4777]) ).
cnf(c_0_4777_1,axiom,
( ~ c_Wellfounded__Recursion_Owf(X1,X2)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X1,X2),tc_List_Olist(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4777]) ).
cnf(c_0_4778_0,axiom,
( X1 = X2
| c_uminus(X1,tc_set(X3)) != c_uminus(X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4778]) ).
cnf(c_0_4778_1,axiom,
( c_uminus(X1,tc_set(X3)) != c_uminus(X2,tc_set(X3))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4778]) ).
cnf(c_0_4779_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4779]) ).
cnf(c_0_4779_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4779]) ).
cnf(c_0_4780_0,axiom,
( X1 = X2
| c_SetInterval_OatLeast(X1,X3) != c_SetInterval_OatLeast(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4780]) ).
cnf(c_0_4780_1,axiom,
( c_SetInterval_OatLeast(X1,X3) != c_SetInterval_OatLeast(X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4780]) ).
cnf(c_0_4780_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_OatLeast(X1,X3) != c_SetInterval_OatLeast(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4780]) ).
cnf(c_0_4781_0,axiom,
( X1 = X2
| c_SetInterval_OatMost(X1,X3) != c_SetInterval_OatMost(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4781]) ).
cnf(c_0_4781_1,axiom,
( c_SetInterval_OatMost(X1,X3) != c_SetInterval_OatMost(X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4781]) ).
cnf(c_0_4781_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_OatMost(X1,X3) != c_SetInterval_OatMost(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4781]) ).
cnf(c_0_4782_0,axiom,
( X1 = X2
| c_SetInterval_OgreaterThan(X1,X3) != c_SetInterval_OgreaterThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4782]) ).
cnf(c_0_4782_1,axiom,
( c_SetInterval_OgreaterThan(X1,X3) != c_SetInterval_OgreaterThan(X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4782]) ).
cnf(c_0_4782_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_OgreaterThan(X1,X3) != c_SetInterval_OgreaterThan(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4782]) ).
cnf(c_0_4783_0,axiom,
( X1 = X2
| c_SetInterval_OlessThan(X1,X3) != c_SetInterval_OlessThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4783]) ).
cnf(c_0_4783_1,axiom,
( c_SetInterval_OlessThan(X1,X3) != c_SetInterval_OlessThan(X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4783]) ).
cnf(c_0_4783_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_OlessThan(X1,X3) != c_SetInterval_OlessThan(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4783]) ).
cnf(c_0_4784_0,axiom,
( X1 = c_0
| c_less(c_0,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_4784]) ).
cnf(c_0_4784_1,axiom,
( c_less(c_0,X1,tc_nat)
| X1 = c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4784]) ).
cnf(c_0_4785_0,axiom,
( X1 = X2
| c_Datatype_Ooption_OSome(X1,X3) != c_Datatype_Ooption_OSome(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4785]) ).
cnf(c_0_4785_1,axiom,
( c_Datatype_Ooption_OSome(X1,X3) != c_Datatype_Ooption_OSome(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4785]) ).
cnf(c_0_4786_0,axiom,
( X1 = X2
| c_List_Ochar_OChar(X1,X3) != c_List_Ochar_OChar(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4786]) ).
cnf(c_0_4786_1,axiom,
( c_List_Ochar_OChar(X1,X3) != c_List_Ochar_OChar(X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4786]) ).
cnf(c_0_4787_0,axiom,
( X1 = X2
| c_List_Ochar_OChar(X3,X1) != c_List_Ochar_OChar(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4787]) ).
cnf(c_0_4787_1,axiom,
( c_List_Ochar_OChar(X3,X1) != c_List_Ochar_OChar(X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4787]) ).
cnf(c_0_4788_0,axiom,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4788]) ).
cnf(c_0_4788_1,axiom,
( c_List_Orev(X1,X3) != c_List_Orev(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4788]) ).
cnf(c_0_4789_0,axiom,
( class_Finite__Set_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite(X1)
| ~ class_Finite__Set_Ofinite(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4789]) ).
cnf(c_0_4789_1,axiom,
( ~ class_Finite__Set_Ofinite(X1)
| class_Finite__Set_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4789]) ).
cnf(c_0_4789_2,axiom,
( ~ class_Finite__Set_Ofinite(X2)
| ~ class_Finite__Set_Ofinite(X1)
| class_Finite__Set_Ofinite(tc_fun(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4789]) ).
cnf(c_0_4790_0,axiom,
( class_Finite__Set_Ofinite(tc_prod(X1,X2))
| ~ class_Finite__Set_Ofinite(X1)
| ~ class_Finite__Set_Ofinite(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4790]) ).
cnf(c_0_4790_1,axiom,
( ~ class_Finite__Set_Ofinite(X1)
| class_Finite__Set_Ofinite(tc_prod(X1,X2))
| ~ class_Finite__Set_Ofinite(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4790]) ).
cnf(c_0_4790_2,axiom,
( ~ class_Finite__Set_Ofinite(X2)
| ~ class_Finite__Set_Ofinite(X1)
| class_Finite__Set_Ofinite(tc_prod(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4790]) ).
cnf(c_0_4791_0,axiom,
( class_Finite__Set_Ofinite(tc_sum(X1,X2))
| ~ class_Finite__Set_Ofinite(X1)
| ~ class_Finite__Set_Ofinite(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4791]) ).
cnf(c_0_4791_1,axiom,
( ~ class_Finite__Set_Ofinite(X1)
| class_Finite__Set_Ofinite(tc_sum(X1,X2))
| ~ class_Finite__Set_Ofinite(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4791]) ).
cnf(c_0_4791_2,axiom,
( ~ class_Finite__Set_Ofinite(X2)
| ~ class_Finite__Set_Ofinite(X1)
| class_Finite__Set_Ofinite(tc_sum(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4791]) ).
cnf(c_0_4792_0,axiom,
( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X1,X2),X2) = X1
| X1 = c_Datatype_Ooption_ONone ),
inference(literals_permutation,[status(thm)],[c_0_4792]) ).
cnf(c_0_4792_1,axiom,
( X1 = c_Datatype_Ooption_ONone
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4792]) ).
cnf(c_0_4793_0,axiom,
( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X1,X2),X2) = X1
| X1 = c_Datatype_Ooption_ONone ),
inference(literals_permutation,[status(thm)],[c_0_4793]) ).
cnf(c_0_4793_1,axiom,
( X1 = c_Datatype_Ooption_ONone
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4793]) ).
cnf(c_0_4794_0,axiom,
( X1 = c_List_Olist_ONil
| c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
inference(literals_permutation,[status(thm)],[c_0_4794]) ).
cnf(c_0_4794_1,axiom,
( c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4794]) ).
cnf(c_0_4795_0,axiom,
( X1 = c_List_Olist_ONil
| c_List_Orev(X1,X2) != c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4795]) ).
cnf(c_0_4795_1,axiom,
( c_List_Orev(X1,X2) != c_List_Olist_ONil
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4795]) ).
cnf(c_0_4796_0,axiom,
( X1 = c_List_Olist_ONil
| c_List_Orev(X1,X2) != c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4796]) ).
cnf(c_0_4796_1,axiom,
( c_List_Orev(X1,X2) != c_List_Olist_ONil
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4796]) ).
cnf(c_0_4797_0,axiom,
( X1 = c_List_Olist_ONil
| c_List_Oset(X1,X2) != c_emptyset ),
inference(literals_permutation,[status(thm)],[c_0_4797]) ).
cnf(c_0_4797_1,axiom,
( c_List_Oset(X1,X2) != c_emptyset
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4797]) ).
cnf(c_0_4798_0,axiom,
( X1 = c_List_Olist_ONil
| c_List_Oset(X1,X2) != c_emptyset ),
inference(literals_permutation,[status(thm)],[c_0_4798]) ).
cnf(c_0_4798_1,axiom,
( c_List_Oset(X1,X2) != c_emptyset
| X1 = c_List_Olist_ONil ),
inference(literals_permutation,[status(thm)],[c_0_4798]) ).
cnf(c_0_4799_0,axiom,
( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))
| ~ class_Finite__Set_Ofinite(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4799]) ).
cnf(c_0_4799_1,axiom,
( ~ class_Finite__Set_Ofinite(X1)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4799]) ).
cnf(c_0_4800_0,axiom,
( class_Finite__Set_Ofinite(tc_set(X1))
| ~ class_Finite__Set_Ofinite(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4800]) ).
cnf(c_0_4800_1,axiom,
( ~ class_Finite__Set_Ofinite(X1)
| class_Finite__Set_Ofinite(tc_set(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4800]) ).
cnf(c_0_4801_0,axiom,
( X1 = X2
| c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4801]) ).
cnf(c_0_4801_1,axiom,
( c_IntDef_Oint(X1) != c_IntDef_Oint(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4801]) ).
cnf(c_0_4802_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4802]) ).
cnf(c_0_4802_1,axiom,
( c_Suc(X1) != c_Suc(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4802]) ).
cnf(c_0_4803_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4803]) ).
cnf(c_0_4803_1,axiom,
( ~ class_LOrder_Ojoin__semilorder(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4803]) ).
cnf(c_0_4804_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4804]) ).
cnf(c_0_4804_1,axiom,
( ~ class_LOrder_Ojoin__semilorder(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4804]) ).
cnf(c_0_4805_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4805]) ).
cnf(c_0_4805_1,axiom,
( ~ class_LOrder_Olorder(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4805]) ).
cnf(c_0_4806_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4806]) ).
cnf(c_0_4806_1,axiom,
( ~ class_LOrder_Olorder(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4806]) ).
cnf(c_0_4807_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4807]) ).
cnf(c_0_4807_1,axiom,
( ~ class_LOrder_Olorder(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4807]) ).
cnf(c_0_4808_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4808]) ).
cnf(c_0_4808_1,axiom,
( ~ class_LOrder_Olorder(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4808]) ).
cnf(c_0_4809_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4809]) ).
cnf(c_0_4809_1,axiom,
( ~ class_LOrder_Omeet__semilorder(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4809]) ).
cnf(c_0_4810_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4810]) ).
cnf(c_0_4810_1,axiom,
( ~ class_LOrder_Omeet__semilorder(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4810]) ).
cnf(c_0_4811_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4811]) ).
cnf(c_0_4811_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4811]) ).
cnf(c_0_4812_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4812]) ).
cnf(c_0_4812_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4812]) ).
cnf(c_0_4813_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4813]) ).
cnf(c_0_4813_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4813]) ).
cnf(c_0_4814_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4814]) ).
cnf(c_0_4814_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4814]) ).
cnf(c_0_4815_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4815]) ).
cnf(c_0_4815_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4815]) ).
cnf(c_0_4816_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4816]) ).
cnf(c_0_4816_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4816]) ).
cnf(c_0_4817_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4817]) ).
cnf(c_0_4817_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4817]) ).
cnf(c_0_4818_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4818]) ).
cnf(c_0_4818_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4818]) ).
cnf(c_0_4819_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4819]) ).
cnf(c_0_4819_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4819]) ).
cnf(c_0_4820_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4820]) ).
cnf(c_0_4820_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4820]) ).
cnf(c_0_4821_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4821]) ).
cnf(c_0_4821_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4821]) ).
cnf(c_0_4822_0,axiom,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4822]) ).
cnf(c_0_4822_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4822]) ).
cnf(c_0_4823_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4823]) ).
cnf(c_0_4823_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4823]) ).
cnf(c_0_4824_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4824]) ).
cnf(c_0_4824_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4824]) ).
cnf(c_0_4825_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4825]) ).
cnf(c_0_4825_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4825]) ).
cnf(c_0_4826_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4826]) ).
cnf(c_0_4826_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4826]) ).
cnf(c_0_4827_0,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4827]) ).
cnf(c_0_4827_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4827]) ).
cnf(c_0_4828_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4828]) ).
cnf(c_0_4828_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4828]) ).
cnf(c_0_4829_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4829]) ).
cnf(c_0_4829_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4829]) ).
cnf(c_0_4830_0,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4830]) ).
cnf(c_0_4830_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4830]) ).
cnf(c_0_4831_0,axiom,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4831]) ).
cnf(c_0_4831_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4831]) ).
cnf(c_0_4832_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4832]) ).
cnf(c_0_4832_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4832]) ).
cnf(c_0_4833_0,axiom,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4833]) ).
cnf(c_0_4833_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4833]) ).
cnf(c_0_4834_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4834]) ).
cnf(c_0_4834_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4834]) ).
cnf(c_0_4835_0,axiom,
( class_Numeral_Onumber(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4835]) ).
cnf(c_0_4835_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Numeral_Onumber(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4835]) ).
cnf(c_0_4836_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4836]) ).
cnf(c_0_4836_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4836]) ).
cnf(c_0_4837_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4837]) ).
cnf(c_0_4837_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4837]) ).
cnf(c_0_4838_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4838]) ).
cnf(c_0_4838_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4838]) ).
cnf(c_0_4839_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4839]) ).
cnf(c_0_4839_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4839]) ).
cnf(c_0_4840_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4840]) ).
cnf(c_0_4840_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4840]) ).
cnf(c_0_4841_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4841]) ).
cnf(c_0_4841_1,axiom,
( ~ class_Numeral_Onumber__ring(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4841]) ).
cnf(c_0_4842_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4842]) ).
cnf(c_0_4842_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4842]) ).
cnf(c_0_4843_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4843]) ).
cnf(c_0_4843_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4843]) ).
cnf(c_0_4844_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4844]) ).
cnf(c_0_4844_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4844]) ).
cnf(c_0_4845_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4845]) ).
cnf(c_0_4845_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4845]) ).
cnf(c_0_4846_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4846]) ).
cnf(c_0_4846_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4846]) ).
cnf(c_0_4847_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4847]) ).
cnf(c_0_4847_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4847]) ).
cnf(c_0_4848_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4848]) ).
cnf(c_0_4848_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4848]) ).
cnf(c_0_4849_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4849]) ).
cnf(c_0_4849_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4849]) ).
cnf(c_0_4850_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4850]) ).
cnf(c_0_4850_1,axiom,
( ~ class_OrderedGroup_Oab__semigroup__add(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4850]) ).
cnf(c_0_4851_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4851]) ).
cnf(c_0_4851_1,axiom,
( ~ class_OrderedGroup_Oab__semigroup__add(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4851]) ).
cnf(c_0_4852_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4852]) ).
cnf(c_0_4852_1,axiom,
( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4852]) ).
cnf(c_0_4853_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4853]) ).
cnf(c_0_4853_1,axiom,
( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4853]) ).
cnf(c_0_4854_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4854]) ).
cnf(c_0_4854_1,axiom,
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4854]) ).
cnf(c_0_4855_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4855]) ).
cnf(c_0_4855_1,axiom,
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4855]) ).
cnf(c_0_4856_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4856]) ).
cnf(c_0_4856_1,axiom,
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4856]) ).
cnf(c_0_4857_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4857]) ).
cnf(c_0_4857_1,axiom,
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4857]) ).
cnf(c_0_4858_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4858]) ).
cnf(c_0_4858_1,axiom,
( ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4858]) ).
cnf(c_0_4859_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4859]) ).
cnf(c_0_4859_1,axiom,
( ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4859]) ).
cnf(c_0_4860_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4860]) ).
cnf(c_0_4860_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4860]) ).
cnf(c_0_4861_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4861]) ).
cnf(c_0_4861_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4861]) ).
cnf(c_0_4862_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4862]) ).
cnf(c_0_4862_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4862]) ).
cnf(c_0_4863_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4863]) ).
cnf(c_0_4863_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4863]) ).
cnf(c_0_4864_0,axiom,
( class_HOL_Oone(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4864]) ).
cnf(c_0_4864_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4864]) ).
cnf(c_0_4865_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4865]) ).
cnf(c_0_4865_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4865]) ).
cnf(c_0_4866_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4866]) ).
cnf(c_0_4866_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4866]) ).
cnf(c_0_4867_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4867]) ).
cnf(c_0_4867_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4867]) ).
cnf(c_0_4868_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4868]) ).
cnf(c_0_4868_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4868]) ).
cnf(c_0_4869_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4869]) ).
cnf(c_0_4869_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4869]) ).
cnf(c_0_4870_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4870]) ).
cnf(c_0_4870_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4870]) ).
cnf(c_0_4871_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4871]) ).
cnf(c_0_4871_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4871]) ).
cnf(c_0_4872_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4872]) ).
cnf(c_0_4872_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4872]) ).
cnf(c_0_4873_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4873]) ).
cnf(c_0_4873_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4873]) ).
cnf(c_0_4874_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4874]) ).
cnf(c_0_4874_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4874]) ).
cnf(c_0_4875_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4875]) ).
cnf(c_0_4875_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4875]) ).
cnf(c_0_4876_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4876]) ).
cnf(c_0_4876_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4876]) ).
cnf(c_0_4877_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4877]) ).
cnf(c_0_4877_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4877]) ).
cnf(c_0_4878_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4878]) ).
cnf(c_0_4878_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4878]) ).
cnf(c_0_4879_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4879]) ).
cnf(c_0_4879_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4879]) ).
cnf(c_0_4880_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4880]) ).
cnf(c_0_4880_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4880]) ).
cnf(c_0_4881_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4881]) ).
cnf(c_0_4881_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4881]) ).
cnf(c_0_4882_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4882]) ).
cnf(c_0_4882_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4882]) ).
cnf(c_0_4883_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4883]) ).
cnf(c_0_4883_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4883]) ).
cnf(c_0_4884_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4884]) ).
cnf(c_0_4884_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4884]) ).
cnf(c_0_4885_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4885]) ).
cnf(c_0_4885_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4885]) ).
cnf(c_0_4886_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4886]) ).
cnf(c_0_4886_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4886]) ).
cnf(c_0_4887_0,axiom,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4887]) ).
cnf(c_0_4887_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4887]) ).
cnf(c_0_4888_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4888]) ).
cnf(c_0_4888_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4888]) ).
cnf(c_0_4889_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4889]) ).
cnf(c_0_4889_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4889]) ).
cnf(c_0_4890_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4890]) ).
cnf(c_0_4890_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4890]) ).
cnf(c_0_4891_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4891]) ).
cnf(c_0_4891_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4891]) ).
cnf(c_0_4892_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4892]) ).
cnf(c_0_4892_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4892]) ).
cnf(c_0_4893_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4893]) ).
cnf(c_0_4893_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4893]) ).
cnf(c_0_4894_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4894]) ).
cnf(c_0_4894_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4894]) ).
cnf(c_0_4895_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4895]) ).
cnf(c_0_4895_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4895]) ).
cnf(c_0_4896_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4896]) ).
cnf(c_0_4896_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4896]) ).
cnf(c_0_4897_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4897]) ).
cnf(c_0_4897_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4897]) ).
cnf(c_0_4898_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4898]) ).
cnf(c_0_4898_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4898]) ).
cnf(c_0_4899_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4899]) ).
cnf(c_0_4899_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4899]) ).
cnf(c_0_4900_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4900]) ).
cnf(c_0_4900_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4900]) ).
cnf(c_0_4901_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4901]) ).
cnf(c_0_4901_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4901]) ).
cnf(c_0_4902_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4902]) ).
cnf(c_0_4902_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4902]) ).
cnf(c_0_4903_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4903]) ).
cnf(c_0_4903_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4903]) ).
cnf(c_0_4904_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4904]) ).
cnf(c_0_4904_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4904]) ).
cnf(c_0_4905_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4905]) ).
cnf(c_0_4905_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4905]) ).
cnf(c_0_4906_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4906]) ).
cnf(c_0_4906_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4906]) ).
cnf(c_0_4907_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4907]) ).
cnf(c_0_4907_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4907]) ).
cnf(c_0_4908_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4908]) ).
cnf(c_0_4908_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4908]) ).
cnf(c_0_4909_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4909]) ).
cnf(c_0_4909_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4909]) ).
cnf(c_0_4910_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4910]) ).
cnf(c_0_4910_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4910]) ).
cnf(c_0_4911_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4911]) ).
cnf(c_0_4911_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4911]) ).
cnf(c_0_4912_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4912]) ).
cnf(c_0_4912_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4912]) ).
cnf(c_0_4913_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4913]) ).
cnf(c_0_4913_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4913]) ).
cnf(c_0_4914_0,axiom,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4914]) ).
cnf(c_0_4914_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4914]) ).
cnf(c_0_4915_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4915]) ).
cnf(c_0_4915_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4915]) ).
cnf(c_0_4916_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4916]) ).
cnf(c_0_4916_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4916]) ).
cnf(c_0_4917_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4917]) ).
cnf(c_0_4917_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4917]) ).
cnf(c_0_4918_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4918]) ).
cnf(c_0_4918_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4918]) ).
cnf(c_0_4919_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4919]) ).
cnf(c_0_4919_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4919]) ).
cnf(c_0_4920_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4920]) ).
cnf(c_0_4920_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4920]) ).
cnf(c_0_4921_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4921]) ).
cnf(c_0_4921_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4921]) ).
cnf(c_0_4922_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4922]) ).
cnf(c_0_4922_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4922]) ).
cnf(c_0_4923_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4923]) ).
cnf(c_0_4923_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4923]) ).
cnf(c_0_4924_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4924]) ).
cnf(c_0_4924_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4924]) ).
cnf(c_0_4925_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4925]) ).
cnf(c_0_4925_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4925]) ).
cnf(c_0_4926_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4926]) ).
cnf(c_0_4926_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4926]) ).
cnf(c_0_4927_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4927]) ).
cnf(c_0_4927_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4927]) ).
cnf(c_0_4928_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4928]) ).
cnf(c_0_4928_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4928]) ).
cnf(c_0_4929_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4929]) ).
cnf(c_0_4929_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4929]) ).
cnf(c_0_4930_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4930]) ).
cnf(c_0_4930_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4930]) ).
cnf(c_0_4931_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4931]) ).
cnf(c_0_4931_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4931]) ).
cnf(c_0_4932_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4932]) ).
cnf(c_0_4932_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4932]) ).
cnf(c_0_4933_0,axiom,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4933]) ).
cnf(c_0_4933_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4933]) ).
cnf(c_0_4934_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4934]) ).
cnf(c_0_4934_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4934]) ).
cnf(c_0_4935_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4935]) ).
cnf(c_0_4935_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4935]) ).
cnf(c_0_4936_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4936]) ).
cnf(c_0_4936_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4936]) ).
cnf(c_0_4937_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4937]) ).
cnf(c_0_4937_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4937]) ).
cnf(c_0_4938_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4938]) ).
cnf(c_0_4938_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4938]) ).
cnf(c_0_4939_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4939]) ).
cnf(c_0_4939_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4939]) ).
cnf(c_0_4940_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4940]) ).
cnf(c_0_4940_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4940]) ).
cnf(c_0_4941_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4941]) ).
cnf(c_0_4941_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4941]) ).
cnf(c_0_4942_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4942]) ).
cnf(c_0_4942_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4942]) ).
cnf(c_0_4943_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4943]) ).
cnf(c_0_4943_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4943]) ).
cnf(c_0_4944_0,axiom,
( class_HOL_Oone(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4944]) ).
cnf(c_0_4944_1,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4944]) ).
cnf(c_0_4945_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4945]) ).
cnf(c_0_4945_1,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4945]) ).
cnf(c_0_4946_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4946]) ).
cnf(c_0_4946_1,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4946]) ).
cnf(c_0_4947_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4947]) ).
cnf(c_0_4947_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4947]) ).
cnf(c_0_4948_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4948]) ).
cnf(c_0_4948_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4948]) ).
cnf(c_0_4949_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4949]) ).
cnf(c_0_4949_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4949]) ).
cnf(c_0_4950_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4950]) ).
cnf(c_0_4950_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4950]) ).
cnf(c_0_4951_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4951]) ).
cnf(c_0_4951_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4951]) ).
cnf(c_0_4952_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4952]) ).
cnf(c_0_4952_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4952]) ).
cnf(c_0_4953_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4953]) ).
cnf(c_0_4953_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4953]) ).
cnf(c_0_4954_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4954]) ).
cnf(c_0_4954_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4954]) ).
cnf(c_0_4955_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4955]) ).
cnf(c_0_4955_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4955]) ).
cnf(c_0_4956_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4956]) ).
cnf(c_0_4956_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4956]) ).
cnf(c_0_4957_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4957]) ).
cnf(c_0_4957_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4957]) ).
cnf(c_0_4958_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4958]) ).
cnf(c_0_4958_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4958]) ).
cnf(c_0_4959_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4959]) ).
cnf(c_0_4959_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4959]) ).
cnf(c_0_4960_0,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4960]) ).
cnf(c_0_4960_1,axiom,
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4960]) ).
cnf(c_0_4961_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4961]) ).
cnf(c_0_4961_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4961]) ).
cnf(c_0_4962_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4962]) ).
cnf(c_0_4962_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4962]) ).
cnf(c_0_4963_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4963]) ).
cnf(c_0_4963_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4963]) ).
cnf(c_0_4964_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4964]) ).
cnf(c_0_4964_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4964]) ).
cnf(c_0_4965_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4965]) ).
cnf(c_0_4965_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4965]) ).
cnf(c_0_4966_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4966]) ).
cnf(c_0_4966_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4966]) ).
cnf(c_0_4967_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4967]) ).
cnf(c_0_4967_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4967]) ).
cnf(c_0_4968_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4968]) ).
cnf(c_0_4968_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4968]) ).
cnf(c_0_4969_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4969]) ).
cnf(c_0_4969_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4969]) ).
cnf(c_0_4970_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4970]) ).
cnf(c_0_4970_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4970]) ).
cnf(c_0_4971_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4971]) ).
cnf(c_0_4971_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4971]) ).
cnf(c_0_4972_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4972]) ).
cnf(c_0_4972_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4972]) ).
cnf(c_0_4973_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4973]) ).
cnf(c_0_4973_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4973]) ).
cnf(c_0_4974_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4974]) ).
cnf(c_0_4974_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4974]) ).
cnf(c_0_4975_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4975]) ).
cnf(c_0_4975_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4975]) ).
cnf(c_0_4976_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4976]) ).
cnf(c_0_4976_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4976]) ).
cnf(c_0_4977_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4977]) ).
cnf(c_0_4977_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4977]) ).
cnf(c_0_4978_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4978]) ).
cnf(c_0_4978_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4978]) ).
cnf(c_0_4979_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4979]) ).
cnf(c_0_4979_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4979]) ).
cnf(c_0_4980_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4980]) ).
cnf(c_0_4980_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4980]) ).
cnf(c_0_4981_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4981]) ).
cnf(c_0_4981_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4981]) ).
cnf(c_0_4982_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4982]) ).
cnf(c_0_4982_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4982]) ).
cnf(c_0_4983_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4983]) ).
cnf(c_0_4983_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4983]) ).
cnf(c_0_4984_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4984]) ).
cnf(c_0_4984_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4984]) ).
cnf(c_0_4985_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4985]) ).
cnf(c_0_4985_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4985]) ).
cnf(c_0_4986_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4986]) ).
cnf(c_0_4986_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4986]) ).
cnf(c_0_4987_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4987]) ).
cnf(c_0_4987_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4987]) ).
cnf(c_0_4988_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4988]) ).
cnf(c_0_4988_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4988]) ).
cnf(c_0_4989_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4989]) ).
cnf(c_0_4989_1,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4989]) ).
cnf(c_0_4990_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4990]) ).
cnf(c_0_4990_1,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4990]) ).
cnf(c_0_4991_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4991]) ).
cnf(c_0_4991_1,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4991]) ).
cnf(c_0_4992_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4992]) ).
cnf(c_0_4992_1,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4992]) ).
cnf(c_0_4993_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4993]) ).
cnf(c_0_4993_1,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4993]) ).
cnf(c_0_4994_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4994]) ).
cnf(c_0_4994_1,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4994]) ).
cnf(c_0_4995_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4995]) ).
cnf(c_0_4995_1,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4995]) ).
cnf(c_0_4996_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4996]) ).
cnf(c_0_4996_1,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4996]) ).
cnf(c_0_4997_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4997]) ).
cnf(c_0_4997_1,axiom,
( ~ class_OrderedGroup_Osemigroup__add(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4997]) ).
cnf(c_0_4998_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4998]) ).
cnf(c_0_4998_1,axiom,
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4998]) ).
cnf(c_0_4999_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4999]) ).
cnf(c_0_4999_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4999]) ).
cnf(c_0_5000_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5000]) ).
cnf(c_0_5000_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5000]) ).
cnf(c_0_5001_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5001]) ).
cnf(c_0_5001_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5001]) ).
cnf(c_0_5002_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5002]) ).
cnf(c_0_5002_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5002]) ).
cnf(c_0_5003_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5003]) ).
cnf(c_0_5003_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5003]) ).
cnf(c_0_5004_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5004]) ).
cnf(c_0_5004_1,axiom,
( ~ class_Orderings_Oorder(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5004]) ).
cnf(c_0_5005_0,axiom,
( class_Nat_Opower(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5005]) ).
cnf(c_0_5005_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Nat_Opower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5005]) ).
cnf(c_0_5006_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5006]) ).
cnf(c_0_5006_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5006]) ).
cnf(c_0_5007_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5007]) ).
cnf(c_0_5007_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5007]) ).
cnf(c_0_5008_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5008]) ).
cnf(c_0_5008_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5008]) ).
cnf(c_0_5009_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5009]) ).
cnf(c_0_5009_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5009]) ).
cnf(c_0_5010_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5010]) ).
cnf(c_0_5010_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5010]) ).
cnf(c_0_5011_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5011]) ).
cnf(c_0_5011_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5011]) ).
cnf(c_0_5012_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5012]) ).
cnf(c_0_5012_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5012]) ).
cnf(c_0_5013_0,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5013]) ).
cnf(c_0_5013_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5013]) ).
cnf(c_0_5014_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5014]) ).
cnf(c_0_5014_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5014]) ).
cnf(c_0_5015_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5015]) ).
cnf(c_0_5015_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5015]) ).
cnf(c_0_5016_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5016]) ).
cnf(c_0_5016_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5016]) ).
cnf(c_0_5017_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5017]) ).
cnf(c_0_5017_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5017]) ).
cnf(c_0_5018_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5018]) ).
cnf(c_0_5018_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5018]) ).
cnf(c_0_5019_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5019]) ).
cnf(c_0_5019_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5019]) ).
cnf(c_0_5020_0,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5020]) ).
cnf(c_0_5020_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5020]) ).
cnf(c_0_5021_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5021]) ).
cnf(c_0_5021_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5021]) ).
cnf(c_0_5022_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5022]) ).
cnf(c_0_5022_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5022]) ).
cnf(c_0_5023_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5023]) ).
cnf(c_0_5023_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5023]) ).
cnf(c_0_5024_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5024]) ).
cnf(c_0_5024_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5024]) ).
cnf(c_0_5025_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5025]) ).
cnf(c_0_5025_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5025]) ).
cnf(c_0_5026_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5026]) ).
cnf(c_0_5026_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5026]) ).
cnf(c_0_5027_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5027]) ).
cnf(c_0_5027_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5027]) ).
cnf(c_0_5028_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5028]) ).
cnf(c_0_5028_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5028]) ).
cnf(c_0_5029_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Power_Orecpower(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5029]) ).
cnf(c_0_5029_1,axiom,
( ~ class_Power_Orecpower(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5029]) ).
cnf(c_0_5030_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5030]) ).
cnf(c_0_5030_1,axiom,
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5030]) ).
cnf(c_0_5031_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5031]) ).
cnf(c_0_5031_1,axiom,
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5031]) ).
cnf(c_0_5032_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5032]) ).
cnf(c_0_5032_1,axiom,
( ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5032]) ).
cnf(c_0_5033_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5033]) ).
cnf(c_0_5033_1,axiom,
( ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5033]) ).
cnf(c_0_5034_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5034]) ).
cnf(c_0_5034_1,axiom,
( ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5034]) ).
cnf(c_0_5035_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5035]) ).
cnf(c_0_5035_1,axiom,
( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5035]) ).
cnf(c_0_5036_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5036]) ).
cnf(c_0_5036_1,axiom,
( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5036]) ).
cnf(c_0_5037_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5037]) ).
cnf(c_0_5037_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5037]) ).
cnf(c_0_5038_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5038]) ).
cnf(c_0_5038_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5038]) ).
cnf(c_0_5039_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5039]) ).
cnf(c_0_5039_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5039]) ).
cnf(c_0_5040_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5040]) ).
cnf(c_0_5040_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5040]) ).
cnf(c_0_5041_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5041]) ).
cnf(c_0_5041_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5041]) ).
cnf(c_0_5042_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5042]) ).
cnf(c_0_5042_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5042]) ).
cnf(c_0_5043_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5043]) ).
cnf(c_0_5043_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5043]) ).
cnf(c_0_5044_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5044]) ).
cnf(c_0_5044_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5044]) ).
cnf(c_0_5045_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5045]) ).
cnf(c_0_5045_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5045]) ).
cnf(c_0_5046_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5046]) ).
cnf(c_0_5046_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5046]) ).
cnf(c_0_5047_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5047]) ).
cnf(c_0_5047_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5047]) ).
cnf(c_0_5048_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5048]) ).
cnf(c_0_5048_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5048]) ).
cnf(c_0_5049_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5049]) ).
cnf(c_0_5049_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5049]) ).
cnf(c_0_5050_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5050]) ).
cnf(c_0_5050_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5050]) ).
cnf(c_0_5051_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5051]) ).
cnf(c_0_5051_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5051]) ).
cnf(c_0_5052_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5052]) ).
cnf(c_0_5052_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5052]) ).
cnf(c_0_5053_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5053]) ).
cnf(c_0_5053_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5053]) ).
cnf(c_0_5054_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5054]) ).
cnf(c_0_5054_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5054]) ).
cnf(c_0_5055_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5055]) ).
cnf(c_0_5055_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5055]) ).
cnf(c_0_5056_0,axiom,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5056]) ).
cnf(c_0_5056_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5056]) ).
cnf(c_0_5057_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5057]) ).
cnf(c_0_5057_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5057]) ).
cnf(c_0_5058_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5058]) ).
cnf(c_0_5058_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5058]) ).
cnf(c_0_5059_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5059]) ).
cnf(c_0_5059_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5059]) ).
cnf(c_0_5060_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5060]) ).
cnf(c_0_5060_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5060]) ).
cnf(c_0_5061_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5061]) ).
cnf(c_0_5061_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5061]) ).
cnf(c_0_5062_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5062]) ).
cnf(c_0_5062_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5062]) ).
cnf(c_0_5063_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5063]) ).
cnf(c_0_5063_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5063]) ).
cnf(c_0_5064_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5064]) ).
cnf(c_0_5064_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5064]) ).
cnf(c_0_5065_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5065]) ).
cnf(c_0_5065_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5065]) ).
cnf(c_0_5066_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5066]) ).
cnf(c_0_5066_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5066]) ).
cnf(c_0_5067_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5067]) ).
cnf(c_0_5067_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5067]) ).
cnf(c_0_5068_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5068]) ).
cnf(c_0_5068_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5068]) ).
cnf(c_0_5069_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5069]) ).
cnf(c_0_5069_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5069]) ).
cnf(c_0_5070_0,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5070]) ).
cnf(c_0_5070_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5070]) ).
cnf(c_0_5071_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5071]) ).
cnf(c_0_5071_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5071]) ).
cnf(c_0_5072_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5072]) ).
cnf(c_0_5072_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5072]) ).
cnf(c_0_5073_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5073]) ).
cnf(c_0_5073_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5073]) ).
cnf(c_0_5074_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5074]) ).
cnf(c_0_5074_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5074]) ).
cnf(c_0_5075_0,axiom,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5075]) ).
cnf(c_0_5075_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5075]) ).
cnf(c_0_5076_0,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5076]) ).
cnf(c_0_5076_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5076]) ).
cnf(c_0_5077_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5077]) ).
cnf(c_0_5077_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5077]) ).
cnf(c_0_5078_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5078]) ).
cnf(c_0_5078_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5078]) ).
cnf(c_0_5079_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5079]) ).
cnf(c_0_5079_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5079]) ).
cnf(c_0_5080_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5080]) ).
cnf(c_0_5080_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5080]) ).
cnf(c_0_5081_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5081]) ).
cnf(c_0_5081_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5081]) ).
cnf(c_0_5082_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5082]) ).
cnf(c_0_5082_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5082]) ).
cnf(c_0_5083_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5083]) ).
cnf(c_0_5083_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5083]) ).
cnf(c_0_5084_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5084]) ).
cnf(c_0_5084_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5084]) ).
cnf(c_0_5085_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5085]) ).
cnf(c_0_5085_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5085]) ).
cnf(c_0_5086_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5086]) ).
cnf(c_0_5086_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5086]) ).
cnf(c_0_5087_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5087]) ).
cnf(c_0_5087_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5087]) ).
cnf(c_0_5088_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5088]) ).
cnf(c_0_5088_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5088]) ).
cnf(c_0_5089_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5089]) ).
cnf(c_0_5089_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5089]) ).
cnf(c_0_5090_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5090]) ).
cnf(c_0_5090_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5090]) ).
cnf(c_0_5091_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5091]) ).
cnf(c_0_5091_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5091]) ).
cnf(c_0_5092_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5092]) ).
cnf(c_0_5092_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5092]) ).
cnf(c_0_5093_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5093]) ).
cnf(c_0_5093_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5093]) ).
cnf(c_0_5094_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5094]) ).
cnf(c_0_5094_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5094]) ).
cnf(c_0_5095_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5095]) ).
cnf(c_0_5095_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5095]) ).
cnf(c_0_5096_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5096]) ).
cnf(c_0_5096_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5096]) ).
cnf(c_0_5097_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5097]) ).
cnf(c_0_5097_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5097]) ).
cnf(c_0_5098_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5098]) ).
cnf(c_0_5098_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5098]) ).
cnf(c_0_5099_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5099]) ).
cnf(c_0_5099_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5099]) ).
cnf(c_0_5100_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5100]) ).
cnf(c_0_5100_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5100]) ).
cnf(c_0_5101_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5101]) ).
cnf(c_0_5101_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5101]) ).
cnf(c_0_5102_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5102]) ).
cnf(c_0_5102_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5102]) ).
cnf(c_0_5103_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5103]) ).
cnf(c_0_5103_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5103]) ).
cnf(c_0_5104_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5104]) ).
cnf(c_0_5104_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5104]) ).
cnf(c_0_5105_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5105]) ).
cnf(c_0_5105_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5105]) ).
cnf(c_0_5106_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5106]) ).
cnf(c_0_5106_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5106]) ).
cnf(c_0_5107_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5107]) ).
cnf(c_0_5107_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5107]) ).
cnf(c_0_5108_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5108]) ).
cnf(c_0_5108_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5108]) ).
cnf(c_0_5109_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5109]) ).
cnf(c_0_5109_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5109]) ).
cnf(c_0_5110_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5110]) ).
cnf(c_0_5110_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5110]) ).
cnf(c_0_5111_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5111]) ).
cnf(c_0_5111_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5111]) ).
cnf(c_0_5112_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5112]) ).
cnf(c_0_5112_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5112]) ).
cnf(c_0_5113_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5113]) ).
cnf(c_0_5113_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5113]) ).
cnf(c_0_5114_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5114]) ).
cnf(c_0_5114_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5114]) ).
cnf(c_0_5115_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5115]) ).
cnf(c_0_5115_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5115]) ).
cnf(c_0_5116_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5116]) ).
cnf(c_0_5116_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5116]) ).
cnf(c_0_5117_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5117]) ).
cnf(c_0_5117_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5117]) ).
cnf(c_0_5118_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5118]) ).
cnf(c_0_5118_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5118]) ).
cnf(c_0_5119_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5119]) ).
cnf(c_0_5119_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5119]) ).
cnf(c_0_5120_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5120]) ).
cnf(c_0_5120_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5120]) ).
cnf(c_0_5121_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5121]) ).
cnf(c_0_5121_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5121]) ).
cnf(c_0_5122_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5122]) ).
cnf(c_0_5122_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5122]) ).
cnf(c_0_5123_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5123]) ).
cnf(c_0_5123_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5123]) ).
cnf(c_0_5124_0,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5124]) ).
cnf(c_0_5124_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5124]) ).
cnf(c_0_5125_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5125]) ).
cnf(c_0_5125_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5125]) ).
cnf(c_0_5126_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5126]) ).
cnf(c_0_5126_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5126]) ).
cnf(c_0_5127_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5127]) ).
cnf(c_0_5127_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5127]) ).
cnf(c_0_5128_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5128]) ).
cnf(c_0_5128_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5128]) ).
cnf(c_0_5129_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5129]) ).
cnf(c_0_5129_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5129]) ).
cnf(c_0_5130_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5130]) ).
cnf(c_0_5130_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5130]) ).
cnf(c_0_5131_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5131]) ).
cnf(c_0_5131_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5131]) ).
cnf(c_0_5132_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5132]) ).
cnf(c_0_5132_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5132]) ).
cnf(c_0_5133_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5133]) ).
cnf(c_0_5133_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5133]) ).
cnf(c_0_5134_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5134]) ).
cnf(c_0_5134_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5134]) ).
cnf(c_0_5135_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5135]) ).
cnf(c_0_5135_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5135]) ).
cnf(c_0_5136_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5136]) ).
cnf(c_0_5136_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5136]) ).
cnf(c_0_5137_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5137]) ).
cnf(c_0_5137_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5137]) ).
cnf(c_0_5138_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5138]) ).
cnf(c_0_5138_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5138]) ).
cnf(c_0_5139_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5139]) ).
cnf(c_0_5139_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5139]) ).
cnf(c_0_5140_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5140]) ).
cnf(c_0_5140_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5140]) ).
cnf(c_0_5141_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5141]) ).
cnf(c_0_5141_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5141]) ).
cnf(c_0_5142_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5142]) ).
cnf(c_0_5142_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5142]) ).
cnf(c_0_5143_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5143]) ).
cnf(c_0_5143_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5143]) ).
cnf(c_0_5144_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5144]) ).
cnf(c_0_5144_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5144]) ).
cnf(c_0_5145_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5145]) ).
cnf(c_0_5145_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5145]) ).
cnf(c_0_5146_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5146]) ).
cnf(c_0_5146_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5146]) ).
cnf(c_0_5147_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5147]) ).
cnf(c_0_5147_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5147]) ).
cnf(c_0_5148_0,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5148]) ).
cnf(c_0_5148_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5148]) ).
cnf(c_0_5149_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5149]) ).
cnf(c_0_5149_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5149]) ).
cnf(c_0_5150_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5150]) ).
cnf(c_0_5150_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5150]) ).
cnf(c_0_5151_0,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5151]) ).
cnf(c_0_5151_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5151]) ).
cnf(c_0_5152_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5152]) ).
cnf(c_0_5152_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5152]) ).
cnf(c_0_5153_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5153]) ).
cnf(c_0_5153_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5153]) ).
cnf(c_0_5154_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5154]) ).
cnf(c_0_5154_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5154]) ).
cnf(c_0_5155_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5155]) ).
cnf(c_0_5155_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5155]) ).
cnf(c_0_5156_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5156]) ).
cnf(c_0_5156_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5156]) ).
cnf(c_0_5157_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5157]) ).
cnf(c_0_5157_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5157]) ).
cnf(c_0_5158_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5158]) ).
cnf(c_0_5158_1,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5158]) ).
cnf(c_0_5159_0,axiom,
( class_HOL_Oinverse(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5159]) ).
cnf(c_0_5159_1,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| class_HOL_Oinverse(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5159]) ).
cnf(c_0_5160_0,axiom,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5160]) ).
cnf(c_0_5160_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5160]) ).
cnf(c_0_5161_0,axiom,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5161]) ).
cnf(c_0_5161_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5161]) ).
cnf(c_0_5162_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5162]) ).
cnf(c_0_5162_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5162]) ).
cnf(c_0_5163_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5163]) ).
cnf(c_0_5163_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5163]) ).
cnf(c_0_5164_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5164]) ).
cnf(c_0_5164_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5164]) ).
cnf(c_0_5165_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5165]) ).
cnf(c_0_5165_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5165]) ).
cnf(c_0_5166_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5166]) ).
cnf(c_0_5166_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5166]) ).
cnf(c_0_5167_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5167]) ).
cnf(c_0_5167_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5167]) ).
cnf(c_0_5168_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5168]) ).
cnf(c_0_5168_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5168]) ).
cnf(c_0_5169_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5169]) ).
cnf(c_0_5169_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5169]) ).
cnf(c_0_5170_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5170]) ).
cnf(c_0_5170_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5170]) ).
cnf(c_0_5171_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5171]) ).
cnf(c_0_5171_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5171]) ).
cnf(c_0_5172_0,axiom,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5172]) ).
cnf(c_0_5172_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5172]) ).
cnf(c_0_5173_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5173]) ).
cnf(c_0_5173_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5173]) ).
cnf(c_0_5174_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5174]) ).
cnf(c_0_5174_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5174]) ).
cnf(c_0_5175_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5175]) ).
cnf(c_0_5175_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5175]) ).
cnf(c_0_5176_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5176]) ).
cnf(c_0_5176_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5176]) ).
cnf(c_0_5177_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5177]) ).
cnf(c_0_5177_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5177]) ).
cnf(c_0_5178_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5178]) ).
cnf(c_0_5178_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5178]) ).
cnf(c_0_5179_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5179]) ).
cnf(c_0_5179_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5179]) ).
cnf(c_0_5180_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5180]) ).
cnf(c_0_5180_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5180]) ).
cnf(c_0_5181_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5181]) ).
cnf(c_0_5181_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5181]) ).
cnf(c_0_5182_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5182]) ).
cnf(c_0_5182_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5182]) ).
cnf(c_0_5183_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5183]) ).
cnf(c_0_5183_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5183]) ).
cnf(c_0_5184_0,axiom,
( class_HOL_Oinverse(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5184]) ).
cnf(c_0_5184_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_HOL_Oinverse(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5184]) ).
cnf(c_0_5185_0,axiom,
( class_Ring__and__Field_Oidom(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5185]) ).
cnf(c_0_5185_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5185]) ).
cnf(c_0_5186_0,axiom,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5186]) ).
cnf(c_0_5186_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5186]) ).
cnf(c_0_5187_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5187]) ).
cnf(c_0_5187_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5187]) ).
cnf(c_0_5188_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5188]) ).
cnf(c_0_5188_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5188]) ).
cnf(c_0_5189_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5189]) ).
cnf(c_0_5189_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5189]) ).
cnf(c_0_5190_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5190]) ).
cnf(c_0_5190_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5190]) ).
cnf(c_0_5191_0,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5191]) ).
cnf(c_0_5191_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5191]) ).
cnf(c_0_5192_0,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5192]) ).
cnf(c_0_5192_1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5192]) ).
cnf(c_0_5193_0,axiom,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5193]) ).
cnf(c_0_5193_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5193]) ).
cnf(c_0_5194_0,axiom,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5194]) ).
cnf(c_0_5194_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5194]) ).
cnf(c_0_5195_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5195]) ).
cnf(c_0_5195_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5195]) ).
cnf(c_0_5196_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5196]) ).
cnf(c_0_5196_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5196]) ).
cnf(c_0_5197_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5197]) ).
cnf(c_0_5197_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5197]) ).
cnf(c_0_5198_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5198]) ).
cnf(c_0_5198_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5198]) ).
cnf(c_0_5199_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5199]) ).
cnf(c_0_5199_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5199]) ).
cnf(c_0_5200_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5200]) ).
cnf(c_0_5200_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5200]) ).
cnf(c_0_5201_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5201]) ).
cnf(c_0_5201_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5201]) ).
cnf(c_0_5202_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5202]) ).
cnf(c_0_5202_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5202]) ).
cnf(c_0_5203_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5203]) ).
cnf(c_0_5203_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5203]) ).
cnf(c_0_5204_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5204]) ).
cnf(c_0_5204_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5204]) ).
cnf(c_0_5205_0,axiom,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5205]) ).
cnf(c_0_5205_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5205]) ).
cnf(c_0_5206_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5206]) ).
cnf(c_0_5206_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5206]) ).
cnf(c_0_5207_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5207]) ).
cnf(c_0_5207_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5207]) ).
cnf(c_0_5208_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5208]) ).
cnf(c_0_5208_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5208]) ).
cnf(c_0_5209_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5209]) ).
cnf(c_0_5209_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5209]) ).
cnf(c_0_5210_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5210]) ).
cnf(c_0_5210_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5210]) ).
cnf(c_0_5211_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5211]) ).
cnf(c_0_5211_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5211]) ).
cnf(c_0_5212_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5212]) ).
cnf(c_0_5212_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5212]) ).
cnf(c_0_5213_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5213]) ).
cnf(c_0_5213_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5213]) ).
cnf(c_0_5214_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5214]) ).
cnf(c_0_5214_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5214]) ).
cnf(c_0_5215_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5215]) ).
cnf(c_0_5215_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5215]) ).
cnf(c_0_5216_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5216]) ).
cnf(c_0_5216_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5216]) ).
cnf(c_0_5217_0,axiom,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5217]) ).
cnf(c_0_5217_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5217]) ).
cnf(c_0_5218_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5218]) ).
cnf(c_0_5218_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5218]) ).
cnf(c_0_5219_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5219]) ).
cnf(c_0_5219_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5219]) ).
cnf(c_0_5220_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5220]) ).
cnf(c_0_5220_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5220]) ).
cnf(c_0_5221_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5221]) ).
cnf(c_0_5221_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5221]) ).
cnf(c_0_5222_0,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5222]) ).
cnf(c_0_5222_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5222]) ).
cnf(c_0_5223_0,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5223]) ).
cnf(c_0_5223_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5223]) ).
cnf(c_0_5224_0,axiom,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5224]) ).
cnf(c_0_5224_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5224]) ).
cnf(c_0_5225_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5225]) ).
cnf(c_0_5225_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5225]) ).
cnf(c_0_5226_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5226]) ).
cnf(c_0_5226_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5226]) ).
cnf(c_0_5227_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5227]) ).
cnf(c_0_5227_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5227]) ).
cnf(c_0_5228_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5228]) ).
cnf(c_0_5228_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5228]) ).
cnf(c_0_5229_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5229]) ).
cnf(c_0_5229_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5229]) ).
cnf(c_0_5230_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5230]) ).
cnf(c_0_5230_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5230]) ).
cnf(c_0_5231_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5231]) ).
cnf(c_0_5231_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5231]) ).
cnf(c_0_5232_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5232]) ).
cnf(c_0_5232_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5232]) ).
cnf(c_0_5233_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5233]) ).
cnf(c_0_5233_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5233]) ).
cnf(c_0_5234_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5234]) ).
cnf(c_0_5234_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5234]) ).
cnf(c_0_5235_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5235]) ).
cnf(c_0_5235_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5235]) ).
cnf(c_0_5236_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5236]) ).
cnf(c_0_5236_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5236]) ).
cnf(c_0_5237_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5237]) ).
cnf(c_0_5237_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5237]) ).
cnf(c_0_5238_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5238]) ).
cnf(c_0_5238_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5238]) ).
cnf(c_0_5239_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5239]) ).
cnf(c_0_5239_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5239]) ).
cnf(c_0_5240_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5240]) ).
cnf(c_0_5240_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5240]) ).
cnf(c_0_5241_0,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5241]) ).
cnf(c_0_5241_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5241]) ).
cnf(c_0_5242_0,axiom,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5242]) ).
cnf(c_0_5242_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5242]) ).
cnf(c_0_5243_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5243]) ).
cnf(c_0_5243_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5243]) ).
cnf(c_0_5244_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5244]) ).
cnf(c_0_5244_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5244]) ).
cnf(c_0_5245_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5245]) ).
cnf(c_0_5245_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5245]) ).
cnf(c_0_5246_0,axiom,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5246]) ).
cnf(c_0_5246_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5246]) ).
cnf(c_0_5247_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5247]) ).
cnf(c_0_5247_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5247]) ).
cnf(c_0_5248_0,axiom,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5248]) ).
cnf(c_0_5248_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5248]) ).
cnf(c_0_5249_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5249]) ).
cnf(c_0_5249_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5249]) ).
cnf(c_0_5250_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5250]) ).
cnf(c_0_5250_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5250]) ).
cnf(c_0_5251_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5251]) ).
cnf(c_0_5251_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5251]) ).
cnf(c_0_5252_0,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5252]) ).
cnf(c_0_5252_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5252]) ).
cnf(c_0_5253_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5253]) ).
cnf(c_0_5253_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5253]) ).
cnf(c_0_5254_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5254]) ).
cnf(c_0_5254_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5254]) ).
cnf(c_0_5255_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5255]) ).
cnf(c_0_5255_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5255]) ).
cnf(c_0_5256_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5256]) ).
cnf(c_0_5256_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5256]) ).
cnf(c_0_5257_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5257]) ).
cnf(c_0_5257_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5257]) ).
cnf(c_0_5258_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5258]) ).
cnf(c_0_5258_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5258]) ).
cnf(c_0_5259_0,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5259]) ).
cnf(c_0_5259_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5259]) ).
cnf(c_0_5260_0,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5260]) ).
cnf(c_0_5260_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5260]) ).
cnf(c_0_5261_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5261]) ).
cnf(c_0_5261_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5261]) ).
cnf(c_0_5262_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5262]) ).
cnf(c_0_5262_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5262]) ).
cnf(c_0_5263_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5263]) ).
cnf(c_0_5263_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5263]) ).
cnf(c_0_5264_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5264]) ).
cnf(c_0_5264_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5264]) ).
cnf(c_0_5265_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5265]) ).
cnf(c_0_5265_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5265]) ).
cnf(c_0_5266_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5266]) ).
cnf(c_0_5266_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5266]) ).
cnf(c_0_5267_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5267]) ).
cnf(c_0_5267_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5267]) ).
cnf(c_0_5268_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5268]) ).
cnf(c_0_5268_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5268]) ).
cnf(c_0_5269_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5269]) ).
cnf(c_0_5269_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5269]) ).
cnf(c_0_5270_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5270]) ).
cnf(c_0_5270_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5270]) ).
cnf(c_0_5271_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5271]) ).
cnf(c_0_5271_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5271]) ).
cnf(c_0_5272_0,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5272]) ).
cnf(c_0_5272_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5272]) ).
cnf(c_0_5273_0,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5273]) ).
cnf(c_0_5273_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5273]) ).
cnf(c_0_5274_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5274]) ).
cnf(c_0_5274_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5274]) ).
cnf(c_0_5275_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5275]) ).
cnf(c_0_5275_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5275]) ).
cnf(c_0_5276_0,axiom,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5276]) ).
cnf(c_0_5276_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5276]) ).
cnf(c_0_5277_0,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5277]) ).
cnf(c_0_5277_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5277]) ).
cnf(c_0_5278_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5278]) ).
cnf(c_0_5278_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5278]) ).
cnf(c_0_5279_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5279]) ).
cnf(c_0_5279_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5279]) ).
cnf(c_0_5280_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5280]) ).
cnf(c_0_5280_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5280]) ).
cnf(c_0_5281_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5281]) ).
cnf(c_0_5281_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5281]) ).
cnf(c_0_5282_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5282]) ).
cnf(c_0_5282_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5282]) ).
cnf(c_0_5283_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5283]) ).
cnf(c_0_5283_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5283]) ).
cnf(c_0_5284_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5284]) ).
cnf(c_0_5284_1,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5284]) ).
cnf(c_0_5285_0,axiom,
( class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5285]) ).
cnf(c_0_5285_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5285]) ).
cnf(c_0_5286_0,axiom,
( class_HOL_Oinverse(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5286]) ).
cnf(c_0_5286_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_HOL_Oinverse(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5286]) ).
cnf(c_0_5287_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5287]) ).
cnf(c_0_5287_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5287]) ).
cnf(c_0_5288_0,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5288]) ).
cnf(c_0_5288_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5288]) ).
cnf(c_0_5289_0,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5289]) ).
cnf(c_0_5289_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5289]) ).
cnf(c_0_5290_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5290]) ).
cnf(c_0_5290_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5290]) ).
cnf(c_0_5291_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5291]) ).
cnf(c_0_5291_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5291]) ).
cnf(c_0_5292_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5292]) ).
cnf(c_0_5292_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5292]) ).
cnf(c_0_5293_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5293]) ).
cnf(c_0_5293_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5293]) ).
cnf(c_0_5294_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5294]) ).
cnf(c_0_5294_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5294]) ).
cnf(c_0_5295_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5295]) ).
cnf(c_0_5295_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5295]) ).
cnf(c_0_5296_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5296]) ).
cnf(c_0_5296_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5296]) ).
cnf(c_0_5297_0,axiom,
( class_Ring__and__Field_Oidom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5297]) ).
cnf(c_0_5297_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5297]) ).
cnf(c_0_5298_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5298]) ).
cnf(c_0_5298_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5298]) ).
cnf(c_0_5299_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5299]) ).
cnf(c_0_5299_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5299]) ).
cnf(c_0_5300_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5300]) ).
cnf(c_0_5300_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5300]) ).
cnf(c_0_5301_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5301]) ).
cnf(c_0_5301_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5301]) ).
cnf(c_0_5302_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5302]) ).
cnf(c_0_5302_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5302]) ).
cnf(c_0_5303_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5303]) ).
cnf(c_0_5303_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5303]) ).
cnf(c_0_5304_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5304]) ).
cnf(c_0_5304_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5304]) ).
cnf(c_0_5305_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5305]) ).
cnf(c_0_5305_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5305]) ).
cnf(c_0_5306_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5306]) ).
cnf(c_0_5306_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5306]) ).
cnf(c_0_5307_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5307]) ).
cnf(c_0_5307_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5307]) ).
cnf(c_0_5308_0,axiom,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5308]) ).
cnf(c_0_5308_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5308]) ).
cnf(c_0_5309_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5309]) ).
cnf(c_0_5309_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5309]) ).
cnf(c_0_5310_0,axiom,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5310]) ).
cnf(c_0_5310_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5310]) ).
cnf(c_0_5311_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5311]) ).
cnf(c_0_5311_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5311]) ).
cnf(c_0_5312_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5312]) ).
cnf(c_0_5312_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5312]) ).
cnf(c_0_5313_0,axiom,
( class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5313]) ).
cnf(c_0_5313_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5313]) ).
cnf(c_0_5314_0,axiom,
( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5314]) ).
cnf(c_0_5314_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5314]) ).
cnf(c_0_5315_0,axiom,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5315]) ).
cnf(c_0_5315_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5315]) ).
cnf(c_0_5316_0,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5316]) ).
cnf(c_0_5316_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5316]) ).
cnf(c_0_5317_0,axiom,
( class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5317]) ).
cnf(c_0_5317_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5317]) ).
cnf(c_0_5318_0,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5318]) ).
cnf(c_0_5318_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5318]) ).
cnf(c_0_5319_0,axiom,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5319]) ).
cnf(c_0_5319_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5319]) ).
cnf(c_0_5320_0,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5320]) ).
cnf(c_0_5320_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5320]) ).
cnf(c_0_5321_0,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5321]) ).
cnf(c_0_5321_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5321]) ).
cnf(c_0_5322_0,axiom,
( class_Ring__and__Field_Oaxclass__abs__if(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5322]) ).
cnf(c_0_5322_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oaxclass__abs__if(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5322]) ).
cnf(c_0_5323_0,axiom,
( class_Ring__and__Field_Olordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5323]) ).
cnf(c_0_5323_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5323]) ).
cnf(c_0_5324_0,axiom,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5324]) ).
cnf(c_0_5324_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5324]) ).
cnf(c_0_5325_0,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5325]) ).
cnf(c_0_5325_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5325]) ).
cnf(c_0_5326_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5326]) ).
cnf(c_0_5326_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5326]) ).
cnf(c_0_5327_0,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5327]) ).
cnf(c_0_5327_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5327]) ).
cnf(c_0_5328_0,axiom,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5328]) ).
cnf(c_0_5328_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5328]) ).
cnf(c_0_5329_0,axiom,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5329]) ).
cnf(c_0_5329_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5329]) ).
cnf(c_0_5330_0,axiom,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5330]) ).
cnf(c_0_5330_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5330]) ).
cnf(c_0_5331_0,axiom,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5331]) ).
cnf(c_0_5331_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5331]) ).
cnf(c_0_5332_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5332]) ).
cnf(c_0_5332_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5332]) ).
cnf(c_0_5333_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5333]) ).
cnf(c_0_5333_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5333]) ).
cnf(c_0_5334_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5334]) ).
cnf(c_0_5334_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5334]) ).
cnf(c_0_5335_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5335]) ).
cnf(c_0_5335_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5335]) ).
cnf(c_0_5336_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5336]) ).
cnf(c_0_5336_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5336]) ).
cnf(c_0_5337_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5337]) ).
cnf(c_0_5337_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5337]) ).
cnf(c_0_5338_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5338]) ).
cnf(c_0_5338_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5338]) ).
cnf(c_0_5339_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5339]) ).
cnf(c_0_5339_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5339]) ).
cnf(c_0_5340_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5340]) ).
cnf(c_0_5340_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5340]) ).
cnf(c_0_5341_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5341]) ).
cnf(c_0_5341_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5341]) ).
cnf(c_0_5342_0,axiom,
( class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5342]) ).
cnf(c_0_5342_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5342]) ).
cnf(c_0_5343_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5343]) ).
cnf(c_0_5343_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5343]) ).
cnf(c_0_5344_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5344]) ).
cnf(c_0_5344_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5344]) ).
cnf(c_0_5345_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5345]) ).
cnf(c_0_5345_1,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5345]) ).
cnf(c_0_5346_0,axiom,
( class_Ring__and__Field_Ocomm__ring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5346]) ).
cnf(c_0_5346_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5346]) ).
cnf(c_0_5347_0,axiom,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5347]) ).
cnf(c_0_5347_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5347]) ).
cnf(c_0_5348_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5348]) ).
cnf(c_0_5348_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5348]) ).
cnf(c_0_5349_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5349]) ).
cnf(c_0_5349_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5349]) ).
cnf(c_0_5350_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5350]) ).
cnf(c_0_5350_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5350]) ).
cnf(c_0_5351_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5351]) ).
cnf(c_0_5351_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5351]) ).
cnf(c_0_5352_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5352]) ).
cnf(c_0_5352_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5352]) ).
cnf(c_0_5353_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5353]) ).
cnf(c_0_5353_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5353]) ).
cnf(c_0_5354_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5354]) ).
cnf(c_0_5354_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5354]) ).
cnf(c_0_5355_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5355]) ).
cnf(c_0_5355_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5355]) ).
cnf(c_0_5356_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5356]) ).
cnf(c_0_5356_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5356]) ).
cnf(c_0_5357_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5357]) ).
cnf(c_0_5357_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5357]) ).
cnf(c_0_5358_0,axiom,
( class_Ring__and__Field_Oring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5358]) ).
cnf(c_0_5358_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5358]) ).
cnf(c_0_5359_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5359]) ).
cnf(c_0_5359_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5359]) ).
cnf(c_0_5360_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5360]) ).
cnf(c_0_5360_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5360]) ).
cnf(c_0_5361_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5361]) ).
cnf(c_0_5361_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5361]) ).
cnf(c_0_5362_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5362]) ).
cnf(c_0_5362_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5362]) ).
cnf(c_0_5363_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5363]) ).
cnf(c_0_5363_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5363]) ).
cnf(c_0_5364_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5364]) ).
cnf(c_0_5364_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5364]) ).
cnf(c_0_5365_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5365]) ).
cnf(c_0_5365_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5365]) ).
cnf(c_0_5366_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5366]) ).
cnf(c_0_5366_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5366]) ).
cnf(c_0_5367_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5367]) ).
cnf(c_0_5367_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5367]) ).
cnf(c_0_5368_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5368]) ).
cnf(c_0_5368_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5368]) ).
cnf(c_0_5369_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5369]) ).
cnf(c_0_5369_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5369]) ).
cnf(c_0_5370_0,axiom,
( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5370]) ).
cnf(c_0_5370_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5370]) ).
cnf(c_0_5371_0,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5371]) ).
cnf(c_0_5371_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5371]) ).
cnf(c_0_5372_0,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5372]) ).
cnf(c_0_5372_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5372]) ).
cnf(c_0_5373_0,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5373]) ).
cnf(c_0_5373_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5373]) ).
cnf(c_0_5374_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5374]) ).
cnf(c_0_5374_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5374]) ).
cnf(c_0_5375_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5375]) ).
cnf(c_0_5375_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5375]) ).
cnf(c_0_5376_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5376]) ).
cnf(c_0_5376_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5376]) ).
cnf(c_0_5377_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5377]) ).
cnf(c_0_5377_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5377]) ).
cnf(c_0_5378_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5378]) ).
cnf(c_0_5378_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5378]) ).
cnf(c_0_5379_0,axiom,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5379]) ).
cnf(c_0_5379_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5379]) ).
cnf(c_0_5380_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5380]) ).
cnf(c_0_5380_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5380]) ).
cnf(c_0_5381_0,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5381]) ).
cnf(c_0_5381_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5381]) ).
cnf(c_0_5382_0,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5382]) ).
cnf(c_0_5382_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5382]) ).
cnf(c_0_5383_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5383]) ).
cnf(c_0_5383_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5383]) ).
cnf(c_0_5384_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5384]) ).
cnf(c_0_5384_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5384]) ).
cnf(c_0_5385_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5385]) ).
cnf(c_0_5385_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5385]) ).
cnf(c_0_5386_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5386]) ).
cnf(c_0_5386_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5386]) ).
cnf(c_0_5387_0,axiom,
( class_Ring__and__Field_Oaxclass__abs__if(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5387]) ).
cnf(c_0_5387_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oaxclass__abs__if(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5387]) ).
cnf(c_0_5388_0,axiom,
( class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5388]) ).
cnf(c_0_5388_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5388]) ).
cnf(c_0_5389_0,axiom,
( class_Ring__and__Field_Olordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5389]) ).
cnf(c_0_5389_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5389]) ).
cnf(c_0_5390_0,axiom,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5390]) ).
cnf(c_0_5390_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5390]) ).
cnf(c_0_5391_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5391]) ).
cnf(c_0_5391_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5391]) ).
cnf(c_0_5392_0,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5392]) ).
cnf(c_0_5392_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5392]) ).
cnf(c_0_5393_0,axiom,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5393]) ).
cnf(c_0_5393_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5393]) ).
cnf(c_0_5394_0,axiom,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5394]) ).
cnf(c_0_5394_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5394]) ).
cnf(c_0_5395_0,axiom,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5395]) ).
cnf(c_0_5395_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5395]) ).
cnf(c_0_5396_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5396]) ).
cnf(c_0_5396_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5396]) ).
cnf(c_0_5397_0,axiom,
( class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5397]) ).
cnf(c_0_5397_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5397]) ).
cnf(c_0_5398_0,axiom,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5398]) ).
cnf(c_0_5398_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5398]) ).
cnf(c_0_5399_0,axiom,
( class_Ring__and__Field_Oidom(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5399]) ).
cnf(c_0_5399_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5399]) ).
cnf(c_0_5400_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5400]) ).
cnf(c_0_5400_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5400]) ).
cnf(c_0_5401_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5401]) ).
cnf(c_0_5401_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5401]) ).
cnf(c_0_5402_0,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5402]) ).
cnf(c_0_5402_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5402]) ).
cnf(c_0_5403_0,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5403]) ).
cnf(c_0_5403_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5403]) ).
cnf(c_0_5404_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5404]) ).
cnf(c_0_5404_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5404]) ).
cnf(c_0_5405_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5405]) ).
cnf(c_0_5405_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5405]) ).
cnf(c_0_5406_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5406]) ).
cnf(c_0_5406_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5406]) ).
cnf(c_0_5407_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5407]) ).
cnf(c_0_5407_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5407]) ).
cnf(c_0_5408_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5408]) ).
cnf(c_0_5408_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5408]) ).
cnf(c_0_5409_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5409]) ).
cnf(c_0_5409_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5409]) ).
cnf(c_0_5410_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5410]) ).
cnf(c_0_5410_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5410]) ).
cnf(c_0_5411_0,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5411]) ).
cnf(c_0_5411_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5411]) ).
cnf(c_0_5412_0,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5412]) ).
cnf(c_0_5412_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5412]) ).
cnf(c_0_5413_0,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5413]) ).
cnf(c_0_5413_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5413]) ).
cnf(c_0_5414_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5414]) ).
cnf(c_0_5414_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5414]) ).
cnf(c_0_5415_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5415]) ).
cnf(c_0_5415_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5415]) ).
cnf(c_0_5416_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5416]) ).
cnf(c_0_5416_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5416]) ).
cnf(c_0_5417_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5417]) ).
cnf(c_0_5417_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5417]) ).
cnf(c_0_5418_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5418]) ).
cnf(c_0_5418_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5418]) ).
cnf(c_0_5419_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5419]) ).
cnf(c_0_5419_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5419]) ).
cnf(c_0_5420_0,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5420]) ).
cnf(c_0_5420_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5420]) ).
cnf(c_0_5421_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5421]) ).
cnf(c_0_5421_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5421]) ).
cnf(c_0_5422_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5422]) ).
cnf(c_0_5422_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5422]) ).
cnf(c_0_5423_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5423]) ).
cnf(c_0_5423_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5423]) ).
cnf(c_0_5424_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5424]) ).
cnf(c_0_5424_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5424]) ).
cnf(c_0_5425_0,axiom,
( class_Ring__and__Field_Oaxclass__abs__if(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5425]) ).
cnf(c_0_5425_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Oaxclass__abs__if(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5425]) ).
cnf(c_0_5426_0,axiom,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5426]) ).
cnf(c_0_5426_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Olordered__ab__group(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5426]) ).
cnf(c_0_5427_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5427]) ).
cnf(c_0_5427_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5427]) ).
cnf(c_0_5428_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5428]) ).
cnf(c_0_5428_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5428]) ).
cnf(c_0_5429_0,axiom,
( class_Ring__and__Field_Olordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5429]) ).
cnf(c_0_5429_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Olordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5429]) ).
cnf(c_0_5430_0,axiom,
( class_Ring__and__Field_Opordered__ring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5430]) ).
cnf(c_0_5430_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5430]) ).
cnf(c_0_5431_0,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5431]) ).
cnf(c_0_5431_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5431]) ).
cnf(c_0_5432_0,axiom,
( class_OrderedGroup_Olordered__ab__group__meet(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5432]) ).
cnf(c_0_5432_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Olordered__ab__group__meet(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5432]) ).
cnf(c_0_5433_0,axiom,
( class_OrderedGroup_Olordered__ab__group__join(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5433]) ).
cnf(c_0_5433_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Olordered__ab__group__join(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5433]) ).
cnf(c_0_5434_0,axiom,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5434]) ).
cnf(c_0_5434_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5434]) ).
cnf(c_0_5435_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5435]) ).
cnf(c_0_5435_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5435]) ).
cnf(c_0_5436_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5436]) ).
cnf(c_0_5436_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5436]) ).
cnf(c_0_5437_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5437]) ).
cnf(c_0_5437_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5437]) ).
cnf(c_0_5438_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5438]) ).
cnf(c_0_5438_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5438]) ).
cnf(c_0_5439_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5439]) ).
cnf(c_0_5439_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5439]) ).
cnf(c_0_5440_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5440]) ).
cnf(c_0_5440_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5440]) ).
cnf(c_0_5441_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5441]) ).
cnf(c_0_5441_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5441]) ).
cnf(c_0_5442_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5442]) ).
cnf(c_0_5442_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5442]) ).
cnf(c_0_5443_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5443]) ).
cnf(c_0_5443_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5443]) ).
cnf(c_0_5444_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5444]) ).
cnf(c_0_5444_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5444]) ).
cnf(c_0_5445_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5445]) ).
cnf(c_0_5445_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5445]) ).
cnf(c_0_5446_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5446]) ).
cnf(c_0_5446_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5446]) ).
cnf(c_0_5447_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5447]) ).
cnf(c_0_5447_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5447]) ).
cnf(c_0_5448_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5448]) ).
cnf(c_0_5448_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5448]) ).
cnf(c_0_5449_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5449]) ).
cnf(c_0_5449_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5449]) ).
cnf(c_0_5450_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5450]) ).
cnf(c_0_5450_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5450]) ).
cnf(c_0_5451_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5451]) ).
cnf(c_0_5451_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5451]) ).
cnf(c_0_5452_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5452]) ).
cnf(c_0_5452_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5452]) ).
cnf(c_0_5453_0,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5453]) ).
cnf(c_0_5453_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5453]) ).
cnf(c_0_5454_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5454]) ).
cnf(c_0_5454_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5454]) ).
cnf(c_0_5455_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5455]) ).
cnf(c_0_5455_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5455]) ).
cnf(c_0_5456_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5456]) ).
cnf(c_0_5456_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5456]) ).
cnf(c_0_5457_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5457]) ).
cnf(c_0_5457_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5457]) ).
cnf(c_0_5458_0,axiom,
( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5458]) ).
cnf(c_0_5458_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5458]) ).
cnf(c_0_5459_0,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5459]) ).
cnf(c_0_5459_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5459]) ).
cnf(c_0_5460_0,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5460]) ).
cnf(c_0_5460_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5460]) ).
cnf(c_0_5461_0,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5461]) ).
cnf(c_0_5461_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5461]) ).
cnf(c_0_5462_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5462]) ).
cnf(c_0_5462_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5462]) ).
cnf(c_0_5463_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5463]) ).
cnf(c_0_5463_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5463]) ).
cnf(c_0_5464_0,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5464]) ).
cnf(c_0_5464_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5464]) ).
cnf(c_0_5465_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5465]) ).
cnf(c_0_5465_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5465]) ).
cnf(c_0_5466_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5466]) ).
cnf(c_0_5466_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5466]) ).
cnf(c_0_5467_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5467]) ).
cnf(c_0_5467_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5467]) ).
cnf(c_0_5468_0,axiom,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5468]) ).
cnf(c_0_5468_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5468]) ).
cnf(c_0_5469_0,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5469]) ).
cnf(c_0_5469_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5469]) ).
cnf(c_0_5470_0,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5470]) ).
cnf(c_0_5470_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5470]) ).
cnf(c_0_5471_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5471]) ).
cnf(c_0_5471_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5471]) ).
cnf(c_0_5472_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5472]) ).
cnf(c_0_5472_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5472]) ).
cnf(c_0_5473_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5473]) ).
cnf(c_0_5473_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5473]) ).
cnf(c_0_5474_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5474]) ).
cnf(c_0_5474_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5474]) ).
cnf(c_0_5475_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5475]) ).
cnf(c_0_5475_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5475]) ).
cnf(c_0_5476_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5476]) ).
cnf(c_0_5476_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5476]) ).
cnf(c_0_5477_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5477]) ).
cnf(c_0_5477_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5477]) ).
cnf(c_0_5478_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5478]) ).
cnf(c_0_5478_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5478]) ).
cnf(c_0_5479_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5479]) ).
cnf(c_0_5479_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5479]) ).
cnf(c_0_5480_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5480]) ).
cnf(c_0_5480_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5480]) ).
cnf(c_0_5481_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5481]) ).
cnf(c_0_5481_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5481]) ).
cnf(c_0_5482_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5482]) ).
cnf(c_0_5482_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5482]) ).
cnf(c_0_5483_0,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5483]) ).
cnf(c_0_5483_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5483]) ).
cnf(c_0_5484_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5484]) ).
cnf(c_0_5484_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5484]) ).
cnf(c_0_5485_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5485]) ).
cnf(c_0_5485_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5485]) ).
cnf(c_0_5486_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5486]) ).
cnf(c_0_5486_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5486]) ).
cnf(c_0_5487_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5487]) ).
cnf(c_0_5487_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5487]) ).
cnf(c_0_5488_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5488]) ).
cnf(c_0_5488_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5488]) ).
cnf(c_0_5489_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5489]) ).
cnf(c_0_5489_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5489]) ).
cnf(c_0_5490_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5490]) ).
cnf(c_0_5490_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5490]) ).
cnf(c_0_5491_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5491]) ).
cnf(c_0_5491_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5491]) ).
cnf(c_0_5492_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5492]) ).
cnf(c_0_5492_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5492]) ).
cnf(c_0_5493_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5493]) ).
cnf(c_0_5493_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5493]) ).
cnf(c_0_5494_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5494]) ).
cnf(c_0_5494_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5494]) ).
cnf(c_0_5495_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5495]) ).
cnf(c_0_5495_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5495]) ).
cnf(c_0_5496_0,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5496]) ).
cnf(c_0_5496_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5496]) ).
cnf(c_0_5497_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5497]) ).
cnf(c_0_5497_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5497]) ).
cnf(c_0_5498_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5498]) ).
cnf(c_0_5498_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5498]) ).
cnf(c_0_5499_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5499]) ).
cnf(c_0_5499_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5499]) ).
cnf(c_0_5500_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5500]) ).
cnf(c_0_5500_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5500]) ).
cnf(c_0_5501_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5501]) ).
cnf(c_0_5501_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5501]) ).
cnf(c_0_5502_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5502]) ).
cnf(c_0_5502_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5502]) ).
cnf(c_0_5503_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5503]) ).
cnf(c_0_5503_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5503]) ).
cnf(c_0_5504_0,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5504]) ).
cnf(c_0_5504_1,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5504]) ).
cnf(c_0_5505_0,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5505]) ).
cnf(c_0_5505_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5505]) ).
cnf(c_0_5506_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5506]) ).
cnf(c_0_5506_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5506]) ).
cnf(c_0_5507_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5507]) ).
cnf(c_0_5507_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5507]) ).
cnf(c_0_5508_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5508]) ).
cnf(c_0_5508_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5508]) ).
cnf(c_0_5509_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5509]) ).
cnf(c_0_5509_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5509]) ).
cnf(c_0_5510_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5510]) ).
cnf(c_0_5510_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5510]) ).
cnf(c_0_5511_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5511]) ).
cnf(c_0_5511_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5511]) ).
cnf(c_0_5512_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5512]) ).
cnf(c_0_5512_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5512]) ).
cnf(c_0_5513_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5513]) ).
cnf(c_0_5513_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5513]) ).
cnf(c_0_5514_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5514]) ).
cnf(c_0_5514_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5514]) ).
cnf(c_0_5515_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5515]) ).
cnf(c_0_5515_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5515]) ).
cnf(c_0_5516_0,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5516]) ).
cnf(c_0_5516_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5516]) ).
cnf(c_0_5517_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5517]) ).
cnf(c_0_5517_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5517]) ).
cnf(c_0_5518_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5518]) ).
cnf(c_0_5518_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5518]) ).
cnf(c_0_5519_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5519]) ).
cnf(c_0_5519_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5519]) ).
cnf(c_0_5520_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5520]) ).
cnf(c_0_5520_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5520]) ).
cnf(c_0_5521_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5521]) ).
cnf(c_0_5521_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5521]) ).
cnf(c_0_5522_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5522]) ).
cnf(c_0_5522_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5522]) ).
cnf(c_0_5523_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5523]) ).
cnf(c_0_5523_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5523]) ).
cnf(c_0_5524_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5524]) ).
cnf(c_0_5524_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5524]) ).
cnf(c_0_5525_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5525]) ).
cnf(c_0_5525_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5525]) ).
cnf(c_0_5526_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5526]) ).
cnf(c_0_5526_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5526]) ).
cnf(c_0_5527_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5527]) ).
cnf(c_0_5527_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5527]) ).
cnf(c_0_5528_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5528]) ).
cnf(c_0_5528_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5528]) ).
cnf(c_0_5529_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5529]) ).
cnf(c_0_5529_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5529]) ).
cnf(c_0_5530_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5530]) ).
cnf(c_0_5530_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5530]) ).
cnf(c_0_5531_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5531]) ).
cnf(c_0_5531_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5531]) ).
cnf(c_0_5532_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5532]) ).
cnf(c_0_5532_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5532]) ).
cnf(c_0_5533_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5533]) ).
cnf(c_0_5533_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5533]) ).
cnf(c_0_5534_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5534]) ).
cnf(c_0_5534_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5534]) ).
cnf(c_0_5535_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5535]) ).
cnf(c_0_5535_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5535]) ).
cnf(c_0_5536_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5536]) ).
cnf(c_0_5536_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5536]) ).
cnf(c_0_5537_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5537]) ).
cnf(c_0_5537_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5537]) ).
cnf(c_0_5538_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5538]) ).
cnf(c_0_5538_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5538]) ).
cnf(c_0_5539_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5539]) ).
cnf(c_0_5539_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5539]) ).
cnf(c_0_5540_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5540]) ).
cnf(c_0_5540_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5540]) ).
cnf(c_0_5541_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5541]) ).
cnf(c_0_5541_1,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5541]) ).
cnf(c_0_5542_0,axiom,
( class_Ring__and__Field_Ocomm__ring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5542]) ).
cnf(c_0_5542_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5542]) ).
cnf(c_0_5543_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5543]) ).
cnf(c_0_5543_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5543]) ).
cnf(c_0_5544_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5544]) ).
cnf(c_0_5544_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5544]) ).
cnf(c_0_5545_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5545]) ).
cnf(c_0_5545_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5545]) ).
cnf(c_0_5546_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5546]) ).
cnf(c_0_5546_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5546]) ).
cnf(c_0_5547_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5547]) ).
cnf(c_0_5547_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5547]) ).
cnf(c_0_5548_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5548]) ).
cnf(c_0_5548_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5548]) ).
cnf(c_0_5549_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5549]) ).
cnf(c_0_5549_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5549]) ).
cnf(c_0_5550_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5550]) ).
cnf(c_0_5550_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5550]) ).
cnf(c_0_5551_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5551]) ).
cnf(c_0_5551_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5551]) ).
cnf(c_0_5552_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5552]) ).
cnf(c_0_5552_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5552]) ).
cnf(c_0_5553_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5553]) ).
cnf(c_0_5553_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5553]) ).
cnf(c_0_5554_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5554]) ).
cnf(c_0_5554_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5554]) ).
cnf(c_0_5555_0,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5555]) ).
cnf(c_0_5555_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5555]) ).
cnf(c_0_5556_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5556]) ).
cnf(c_0_5556_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5556]) ).
cnf(c_0_5557_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5557]) ).
cnf(c_0_5557_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5557]) ).
cnf(c_0_5558_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5558]) ).
cnf(c_0_5558_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5558]) ).
cnf(c_0_5559_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5559]) ).
cnf(c_0_5559_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5559]) ).
cnf(c_0_5560_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5560]) ).
cnf(c_0_5560_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5560]) ).
cnf(c_0_5561_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5561]) ).
cnf(c_0_5561_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5561]) ).
cnf(c_0_5562_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5562]) ).
cnf(c_0_5562_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5562]) ).
cnf(c_0_5563_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5563]) ).
cnf(c_0_5563_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5563]) ).
cnf(c_0_5564_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5564]) ).
cnf(c_0_5564_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5564]) ).
cnf(c_0_5565_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5565]) ).
cnf(c_0_5565_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5565]) ).
cnf(c_0_5566_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5566]) ).
cnf(c_0_5566_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5566]) ).
cnf(c_0_5567_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5567]) ).
cnf(c_0_5567_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5567]) ).
cnf(c_0_5568_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5568]) ).
cnf(c_0_5568_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_Ring__and__Field_Ocomm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5568]) ).
cnf(c_0_5569_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5569]) ).
cnf(c_0_5569_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5569]) ).
cnf(c_0_5570_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5570]) ).
cnf(c_0_5570_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5570]) ).
cnf(c_0_5571_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5571]) ).
cnf(c_0_5571_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5571]) ).
cnf(c_0_5572_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5572]) ).
cnf(c_0_5572_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5572]) ).
cnf(c_0_5573_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5573]) ).
cnf(c_0_5573_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5573]) ).
cnf(c_0_5574_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5574]) ).
cnf(c_0_5574_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5574]) ).
cnf(c_0_5575_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5575]) ).
cnf(c_0_5575_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5575]) ).
cnf(c_0_5576_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5576]) ).
cnf(c_0_5576_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5576]) ).
cnf(c_0_5577_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5577]) ).
cnf(c_0_5577_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5577]) ).
cnf(c_0_5578_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5578]) ).
cnf(c_0_5578_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5578]) ).
cnf(c_0_5579_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5579]) ).
cnf(c_0_5579_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5579]) ).
cnf(c_0_5580_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5580]) ).
cnf(c_0_5580_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5580]) ).
cnf(c_0_5581_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5581]) ).
cnf(c_0_5581_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5581]) ).
cnf(c_0_5582_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5582]) ).
cnf(c_0_5582_1,axiom,
( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5582]) ).
cnf(c_0_5583_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5583]) ).
cnf(c_0_5583_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5583]) ).
cnf(c_0_5584_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5584]) ).
cnf(c_0_5584_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5584]) ).
cnf(c_0_5585_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5585]) ).
cnf(c_0_5585_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5585]) ).
cnf(c_0_5586_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5586]) ).
cnf(c_0_5586_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5586]) ).
cnf(c_0_5587_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5587]) ).
cnf(c_0_5587_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5587]) ).
cnf(c_0_5588_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5588]) ).
cnf(c_0_5588_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5588]) ).
cnf(c_0_5589_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5589]) ).
cnf(c_0_5589_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5589]) ).
cnf(c_0_5590_0,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5590]) ).
cnf(c_0_5590_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5590]) ).
cnf(c_0_5591_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5591]) ).
cnf(c_0_5591_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5591]) ).
cnf(c_0_5592_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5592]) ).
cnf(c_0_5592_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5592]) ).
cnf(c_0_5593_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5593]) ).
cnf(c_0_5593_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5593]) ).
cnf(c_0_5594_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5594]) ).
cnf(c_0_5594_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5594]) ).
cnf(c_0_5595_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5595]) ).
cnf(c_0_5595_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5595]) ).
cnf(c_0_5596_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5596]) ).
cnf(c_0_5596_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5596]) ).
cnf(c_0_5597_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5597]) ).
cnf(c_0_5597_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5597]) ).
cnf(c_0_5598_0,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5598]) ).
cnf(c_0_5598_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5598]) ).
cnf(c_0_5599_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5599]) ).
cnf(c_0_5599_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5599]) ).
cnf(c_0_5600_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5600]) ).
cnf(c_0_5600_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5600]) ).
cnf(c_0_5601_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5601]) ).
cnf(c_0_5601_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5601]) ).
cnf(c_0_5602_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5602]) ).
cnf(c_0_5602_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5602]) ).
cnf(c_0_5603_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5603]) ).
cnf(c_0_5603_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5603]) ).
cnf(c_0_5604_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5604]) ).
cnf(c_0_5604_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5604]) ).
cnf(c_0_5605_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5605]) ).
cnf(c_0_5605_1,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5605]) ).
cnf(c_0_5606_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5606]) ).
cnf(c_0_5606_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5606]) ).
cnf(c_0_5607_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5607]) ).
cnf(c_0_5607_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5607]) ).
cnf(c_0_5608_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5608]) ).
cnf(c_0_5608_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5608]) ).
cnf(c_0_5609_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5609]) ).
cnf(c_0_5609_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5609]) ).
cnf(c_0_5610_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5610]) ).
cnf(c_0_5610_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5610]) ).
cnf(c_0_5611_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5611]) ).
cnf(c_0_5611_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5611]) ).
cnf(c_0_5612_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5612]) ).
cnf(c_0_5612_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5612]) ).
cnf(c_0_5613_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5613]) ).
cnf(c_0_5613_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5613]) ).
cnf(c_0_5614_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5614]) ).
cnf(c_0_5614_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5614]) ).
cnf(c_0_5615_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5615]) ).
cnf(c_0_5615_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5615]) ).
cnf(c_0_5616_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5616]) ).
cnf(c_0_5616_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5616]) ).
cnf(c_0_5617_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5617]) ).
cnf(c_0_5617_1,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5617]) ).
cnf(c_0_5618_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5618]) ).
cnf(c_0_5618_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5618]) ).
cnf(c_0_5619_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5619]) ).
cnf(c_0_5619_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5619]) ).
cnf(c_0_5620_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5620]) ).
cnf(c_0_5620_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5620]) ).
cnf(c_0_5621_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5621]) ).
cnf(c_0_5621_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5621]) ).
cnf(c_0_5622_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5622]) ).
cnf(c_0_5622_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5622]) ).
cnf(c_0_5623_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5623]) ).
cnf(c_0_5623_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5623]) ).
cnf(c_0_5624_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5624]) ).
cnf(c_0_5624_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5624]) ).
cnf(c_0_5625_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5625]) ).
cnf(c_0_5625_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5625]) ).
cnf(c_0_5626_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5626]) ).
cnf(c_0_5626_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5626]) ).
cnf(c_0_5627_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5627]) ).
cnf(c_0_5627_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5627]) ).
cnf(c_0_5628_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5628]) ).
cnf(c_0_5628_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5628]) ).
cnf(c_0_5629_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5629]) ).
cnf(c_0_5629_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5629]) ).
cnf(c_0_5630_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5630]) ).
cnf(c_0_5630_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5630]) ).
cnf(c_0_5631_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5631]) ).
cnf(c_0_5631_1,axiom,
( ~ class_Ring__and__Field_Oring(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5631]) ).
cnf(c_0_5632_0,axiom,
( class_Ring__and__Field_Oring(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5632]) ).
cnf(c_0_5632_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_Ring__and__Field_Oring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5632]) ).
cnf(c_0_5633_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5633]) ).
cnf(c_0_5633_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5633]) ).
cnf(c_0_5634_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5634]) ).
cnf(c_0_5634_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5634]) ).
cnf(c_0_5635_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5635]) ).
cnf(c_0_5635_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5635]) ).
cnf(c_0_5636_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5636]) ).
cnf(c_0_5636_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5636]) ).
cnf(c_0_5637_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5637]) ).
cnf(c_0_5637_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5637]) ).
cnf(c_0_5638_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5638]) ).
cnf(c_0_5638_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5638]) ).
cnf(c_0_5639_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5639]) ).
cnf(c_0_5639_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5639]) ).
cnf(c_0_5640_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5640]) ).
cnf(c_0_5640_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5640]) ).
cnf(c_0_5641_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5641]) ).
cnf(c_0_5641_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5641]) ).
cnf(c_0_5642_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5642]) ).
cnf(c_0_5642_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5642]) ).
cnf(c_0_5643_0,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5643]) ).
cnf(c_0_5643_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5643]) ).
cnf(c_0_5644_0,axiom,
( class_HOL_Ominus(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5644]) ).
cnf(c_0_5644_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_HOL_Ominus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5644]) ).
cnf(c_0_5645_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5645]) ).
cnf(c_0_5645_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5645]) ).
cnf(c_0_5646_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5646]) ).
cnf(c_0_5646_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5646]) ).
cnf(c_0_5647_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5647]) ).
cnf(c_0_5647_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5647]) ).
cnf(c_0_5648_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5648]) ).
cnf(c_0_5648_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5648]) ).
cnf(c_0_5649_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5649]) ).
cnf(c_0_5649_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5649]) ).
cnf(c_0_5650_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5650]) ).
cnf(c_0_5650_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5650]) ).
cnf(c_0_5651_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Oring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5651]) ).
cnf(c_0_5651_1,axiom,
( ~ class_Ring__and__Field_Oring__1(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5651]) ).
cnf(c_0_5652_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5652]) ).
cnf(c_0_5652_1,axiom,
( ~ class_Ring__and__Field_Osemiring(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5652]) ).
cnf(c_0_5653_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5653]) ).
cnf(c_0_5653_1,axiom,
( ~ class_Ring__and__Field_Osemiring(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5653]) ).
cnf(c_0_5654_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5654]) ).
cnf(c_0_5654_1,axiom,
( ~ class_Ring__and__Field_Osemiring(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5654]) ).
cnf(c_0_5655_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5655]) ).
cnf(c_0_5655_1,axiom,
( ~ class_Ring__and__Field_Osemiring(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5655]) ).
cnf(c_0_5656_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5656]) ).
cnf(c_0_5656_1,axiom,
( ~ class_Ring__and__Field_Osemiring(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5656]) ).
cnf(c_0_5657_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5657]) ).
cnf(c_0_5657_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5657]) ).
cnf(c_0_5658_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5658]) ).
cnf(c_0_5658_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5658]) ).
cnf(c_0_5659_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5659]) ).
cnf(c_0_5659_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5659]) ).
cnf(c_0_5660_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5660]) ).
cnf(c_0_5660_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5660]) ).
cnf(c_0_5661_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5661]) ).
cnf(c_0_5661_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5661]) ).
cnf(c_0_5662_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5662]) ).
cnf(c_0_5662_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5662]) ).
cnf(c_0_5663_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5663]) ).
cnf(c_0_5663_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5663]) ).
cnf(c_0_5664_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5664]) ).
cnf(c_0_5664_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5664]) ).
cnf(c_0_5665_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5665]) ).
cnf(c_0_5665_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5665]) ).
cnf(c_0_5666_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5666]) ).
cnf(c_0_5666_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5666]) ).
cnf(c_0_5667_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5667]) ).
cnf(c_0_5667_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5667]) ).
cnf(c_0_5668_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5668]) ).
cnf(c_0_5668_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5668]) ).
cnf(c_0_5669_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5669]) ).
cnf(c_0_5669_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5669]) ).
cnf(c_0_5670_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5670]) ).
cnf(c_0_5670_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5670]) ).
cnf(c_0_5671_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5671]) ).
cnf(c_0_5671_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5671]) ).
cnf(c_0_5672_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5672]) ).
cnf(c_0_5672_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5672]) ).
cnf(c_0_5673_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5673]) ).
cnf(c_0_5673_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5673]) ).
cnf(c_0_5674_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5674]) ).
cnf(c_0_5674_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5674]) ).
cnf(c_0_5675_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5675]) ).
cnf(c_0_5675_1,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5675]) ).
cnf(c_0_5676_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5676]) ).
cnf(c_0_5676_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5676]) ).
cnf(c_0_5677_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5677]) ).
cnf(c_0_5677_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5677]) ).
cnf(c_0_5678_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5678]) ).
cnf(c_0_5678_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5678]) ).
cnf(c_0_5679_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5679]) ).
cnf(c_0_5679_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5679]) ).
cnf(c_0_5680_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5680]) ).
cnf(c_0_5680_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5680]) ).
cnf(c_0_5681_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5681]) ).
cnf(c_0_5681_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5681]) ).
cnf(c_0_5682_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5682]) ).
cnf(c_0_5682_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5682]) ).
cnf(c_0_5683_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5683]) ).
cnf(c_0_5683_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5683]) ).
cnf(c_0_5684_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5684]) ).
cnf(c_0_5684_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5684]) ).
cnf(c_0_5685_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5685]) ).
cnf(c_0_5685_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5685]) ).
cnf(c_0_5686_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5686]) ).
cnf(c_0_5686_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5686]) ).
cnf(c_0_5687_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5687]) ).
cnf(c_0_5687_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5687]) ).
cnf(c_0_5688_0,axiom,
( class_Ring__and__Field_Osemiring__1(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5688]) ).
cnf(c_0_5688_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5688]) ).
cnf(c_0_5689_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5689]) ).
cnf(c_0_5689_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5689]) ).
cnf(c_0_5690_0,axiom,
( class_HOL_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5690]) ).
cnf(c_0_5690_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_HOL_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5690]) ).
cnf(c_0_5691_0,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5691]) ).
cnf(c_0_5691_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5691]) ).
cnf(c_0_5692_0,axiom,
( class_HOL_Otimes(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5692]) ).
cnf(c_0_5692_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_HOL_Otimes(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5692]) ).
cnf(c_0_5693_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5693]) ).
cnf(c_0_5693_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5693]) ).
cnf(c_0_5694_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5694]) ).
cnf(c_0_5694_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5694]) ).
cnf(c_0_5695_0,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5695]) ).
cnf(c_0_5695_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_Ring__and__Field_Osemiring__0__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5695]) ).
cnf(c_0_5696_0,axiom,
( class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5696]) ).
cnf(c_0_5696_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5696]) ).
cnf(c_0_5697_0,axiom,
( class_Ring__and__Field_Osemiring(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5697]) ).
cnf(c_0_5697_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_Ring__and__Field_Osemiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5697]) ).
cnf(c_0_5698_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5698]) ).
cnf(c_0_5698_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5698]) ).
cnf(c_0_5699_0,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5699]) ).
cnf(c_0_5699_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5699]) ).
cnf(c_0_5700_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5700]) ).
cnf(c_0_5700_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_OrderedGroup_Oab__semigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5700]) ).
cnf(c_0_5701_0,axiom,
( class_OrderedGroup_Osemigroup__add(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5701]) ).
cnf(c_0_5701_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_OrderedGroup_Osemigroup__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5701]) ).
cnf(c_0_5702_0,axiom,
( class_HOL_Oplus(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5702]) ).
cnf(c_0_5702_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_HOL_Oplus(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5702]) ).
cnf(c_0_5703_0,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5703]) ).
cnf(c_0_5703_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5703]) ).
cnf(c_0_5704_0,axiom,
( class_Orderings_Oord(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5704]) ).
cnf(c_0_5704_1,axiom,
( ~ class_Wellfounded__Recursion_Owellorder(X1)
| class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5704]) ).
cnf(c_0_5705_0,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5705]) ).
cnf(c_0_5705_1,axiom,
( ~ class_Wellfounded__Recursion_Owellorder(X1)
| class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5705]) ).
cnf(c_0_5706_0,axiom,
( class_LOrder_Omeet__semilorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5706]) ).
cnf(c_0_5706_1,axiom,
( ~ class_Wellfounded__Recursion_Owellorder(X1)
| class_LOrder_Omeet__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5706]) ).
cnf(c_0_5707_0,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5707]) ).
cnf(c_0_5707_1,axiom,
( ~ class_Wellfounded__Recursion_Owellorder(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5707]) ).
cnf(c_0_5708_0,axiom,
( class_LOrder_Olorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5708]) ).
cnf(c_0_5708_1,axiom,
( ~ class_Wellfounded__Recursion_Owellorder(X1)
| class_LOrder_Olorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5708]) ).
cnf(c_0_5709_0,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Wellfounded__Recursion_Owellorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5709]) ).
cnf(c_0_5709_1,axiom,
( ~ class_Wellfounded__Recursion_Owellorder(X1)
| class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5709]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_1081,negated_conjecture,
! [X1] :
( c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
file('<stdin>',cls_conjecture_4) ).
fof(c_0_1_1082,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('<stdin>',cls_conjecture_3) ).
fof(c_0_2_1083,negated_conjecture,
c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
file('<stdin>',cls_conjecture_2) ).
fof(c_0_3_1084,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_4_1085,negated_conjecture,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('<stdin>',cls_conjecture_1) ).
fof(c_0_5_1086,negated_conjecture,
! [X1] :
( c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_6_1087,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_7_1088,negated_conjecture,
c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
c_0_2 ).
fof(c_0_8_1089,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
c_0_3 ).
fof(c_0_9_1090,negated_conjecture,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
c_0_4 ).
fof(c_0_10_1091,negated_conjecture,
! [X2] :
( c_lessequals(X2,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X2,v_Y,tc_set(tc_set(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_5]) ).
fof(c_0_11_1092,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
c_0_6 ).
fof(c_0_12_1093,negated_conjecture,
c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
c_0_7 ).
fof(c_0_13_1094,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
c_0_8 ).
fof(c_0_14_1095,negated_conjecture,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
c_0_9 ).
cnf(c_0_15_1096,negated_conjecture,
( c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16_1097,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17_1098,negated_conjecture,
c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18_1099,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19_1100,negated_conjecture,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20_1101,negated_conjecture,
( c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
c_0_15,
[final] ).
cnf(c_0_21_1102,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
c_0_16,
[final] ).
cnf(c_0_22_1103,negated_conjecture,
c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
c_0_17,
[final] ).
cnf(c_0_23_1104,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
c_0_18,
[final] ).
cnf(c_0_24_1105,negated_conjecture,
c_Zorn_Osucc(v_S,v_m,t_a) = v_m,
c_0_19,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_2566,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_181f34.p',c_0_21) ).
cnf(c_2943,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(copy,[status(esa)],[c_2566]) ).
cnf(c_2962,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(copy,[status(esa)],[c_2943]) ).
cnf(c_2969,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(copy,[status(esa)],[c_2962]) ).
cnf(c_2972,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(copy,[status(esa)],[c_2969]) ).
cnf(c_10662,plain,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(copy,[status(esa)],[c_2972]) ).
cnf(c_243,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_181f34.p',c_0_4673_0) ).
cnf(c_6032,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(copy,[status(esa)],[c_243]) ).
cnf(c_10695,plain,
~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_m,tc_set(t_a)),
inference(resolution,[status(thm)],[c_10662,c_6032]) ).
cnf(c_10696,plain,
~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_m,tc_set(t_a)),
inference(rewriting,[status(thm)],[c_10695]) ).
cnf(c_303,plain,
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_181f34.p',c_0_4699_0) ).
cnf(c_6152,plain,
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2) ),
inference(copy,[status(esa)],[c_303]) ).
cnf(c_6153,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2)) ),
inference(rewriting,[status(thm)],[c_6152]) ).
cnf(c_10758,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c_10696,c_6153]) ).
cnf(c_10761,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(rewriting,[status(thm)],[c_10758]) ).
cnf(c_11332,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c_10761,c_6153]) ).
cnf(c_11335,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a))) ),
inference(rewriting,[status(thm)],[c_11332]) ).
cnf(c_2565,negated_conjecture,
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_181f34.p',c_0_20) ).
cnf(c_2941,negated_conjecture,
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(copy,[status(esa)],[c_2565]) ).
cnf(c_2961,negated_conjecture,
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(copy,[status(esa)],[c_2941]) ).
cnf(c_2970,negated_conjecture,
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(copy,[status(esa)],[c_2961]) ).
cnf(c_2971,negated_conjecture,
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(copy,[status(esa)],[c_2970]) ).
cnf(c_10660,negated_conjecture,
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(copy,[status(esa)],[c_2971]) ).
cnf(c_19992,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c_11335,c_10660]) ).
cnf(c_19993,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,v_m,tc_set(tc_set(t_a))) ),
inference(rewriting,[status(thm)],[c_19992]) ).
cnf(c_2544,plain,
c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_181f34.p',c_0_884_0) ).
cnf(c_10619,plain,
c_lessequals(X0,X0,tc_set(X1)),
inference(copy,[status(esa)],[c_2544]) ).
cnf(c_20095,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19993,c_10619]) ).
cnf(c_20096,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
inference(rewriting,[status(thm)],[c_20095]) ).
cnf(c_256,plain,
( ~ c_in(X0,c_Union(X1,X2),X2)
| c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_181f34.p',c_0_4679_0) ).
cnf(c_6058,plain,
( ~ c_in(X0,c_Union(X1,X2),X2)
| c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
inference(copy,[status(esa)],[c_256]) ).
cnf(c_20137,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(X0,tc_set(t_a)),tc_set(t_a))
| ~ c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c_20096,c_6058]) ).
cnf(c_20138,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(X0,tc_set(t_a)),tc_set(t_a))
| ~ c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))) ),
inference(rewriting,[status(thm)],[c_20137]) ).
cnf(c_252,plain,
( ~ c_in(X0,c_Union(X1,X2),X2)
| c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_181f34.p',c_0_4677_0) ).
cnf(c_6050,plain,
( ~ c_in(X0,c_Union(X1,X2),X2)
| c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2)) ),
inference(copy,[status(esa)],[c_252]) ).
cnf(c_6051,plain,
( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,c_Union(X1,X2),X2) ),
inference(rewriting,[status(thm)],[c_6050]) ).
cnf(c_21549,plain,
~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),
inference(resolution,[status(thm)],[c_20138,c_6051]) ).
cnf(c_21550,plain,
~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),
inference(rewriting,[status(thm)],[c_21549]) ).
cnf(c_312,plain,
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_181f34.p',c_0_4703_0) ).
cnf(c_6170,plain,
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(copy,[status(esa)],[c_312]) ).
cnf(c_10694,plain,
c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),
inference(resolution,[status(thm)],[c_10662,c_6170]) ).
cnf(c_10697,plain,
c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),
inference(rewriting,[status(thm)],[c_10694]) ).
cnf(c_22966,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_21550,c_10697]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET842-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 09:58:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.20/0.54 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.54 % Orientation found
% 0.20/0.54 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_ca3290.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_181f34.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_f5d61c | grep -v "SZS"
% 0.39/0.57
% 0.39/0.57 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.39/0.57
% 0.39/0.57 %
% 0.39/0.57 % ------ iProver source info
% 0.39/0.57
% 0.39/0.57 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.39/0.57 % git: non_committed_changes: true
% 0.39/0.57 % git: last_make_outside_of_git: true
% 0.39/0.57
% 0.39/0.57 %
% 0.39/0.57 % ------ Input Options
% 0.39/0.57
% 0.39/0.57 % --out_options all
% 0.39/0.57 % --tptp_safe_out true
% 0.39/0.57 % --problem_path ""
% 0.39/0.57 % --include_path ""
% 0.39/0.57 % --clausifier .//eprover
% 0.39/0.57 % --clausifier_options --tstp-format
% 0.39/0.57 % --stdin false
% 0.39/0.57 % --dbg_backtrace false
% 0.39/0.57 % --dbg_dump_prop_clauses false
% 0.39/0.57 % --dbg_dump_prop_clauses_file -
% 0.39/0.57 % --dbg_out_stat false
% 0.39/0.57
% 0.39/0.57 % ------ General Options
% 0.39/0.57
% 0.39/0.57 % --fof false
% 0.39/0.57 % --time_out_real 150.
% 0.39/0.57 % --time_out_prep_mult 0.2
% 0.39/0.57 % --time_out_virtual -1.
% 0.39/0.57 % --schedule none
% 0.39/0.57 % --ground_splitting input
% 0.39/0.57 % --splitting_nvd 16
% 0.39/0.57 % --non_eq_to_eq false
% 0.39/0.57 % --prep_gs_sim true
% 0.39/0.57 % --prep_unflatten false
% 0.39/0.57 % --prep_res_sim true
% 0.39/0.57 % --prep_upred true
% 0.39/0.57 % --res_sim_input true
% 0.39/0.57 % --clause_weak_htbl true
% 0.39/0.57 % --gc_record_bc_elim false
% 0.39/0.57 % --symbol_type_check false
% 0.39/0.57 % --clausify_out false
% 0.39/0.57 % --large_theory_mode false
% 0.39/0.57 % --prep_sem_filter none
% 0.39/0.57 % --prep_sem_filter_out false
% 0.39/0.57 % --preprocessed_out false
% 0.39/0.57 % --sub_typing false
% 0.39/0.57 % --brand_transform false
% 0.39/0.57 % --pure_diseq_elim true
% 0.39/0.57 % --min_unsat_core false
% 0.39/0.57 % --pred_elim true
% 0.39/0.57 % --add_important_lit false
% 0.39/0.57 % --soft_assumptions false
% 0.39/0.57 % --reset_solvers false
% 0.39/0.57 % --bc_imp_inh []
% 0.39/0.57 % --conj_cone_tolerance 1.5
% 0.39/0.57 % --prolific_symb_bound 500
% 0.39/0.57 % --lt_threshold 2000
% 0.39/0.57
% 0.39/0.57 % ------ SAT Options
% 0.39/0.57
% 0.39/0.57 % --sat_mode false
% 0.39/0.57 % --sat_fm_restart_options ""
% 0.39/0.57 % --sat_gr_def false
% 0.39/0.57 % --sat_epr_types true
% 0.39/0.57 % --sat_non_cyclic_types false
% 0.39/0.57 % --sat_finite_models false
% 0.39/0.57 % --sat_fm_lemmas false
% 0.39/0.57 % --sat_fm_prep false
% 0.39/0.57 % --sat_fm_uc_incr true
% 0.39/0.57 % --sat_out_model small
% 0.39/0.57 % --sat_out_clauses false
% 0.39/0.57
% 0.39/0.57 % ------ QBF Options
% 0.39/0.57
% 0.39/0.57 % --qbf_mode false
% 0.39/0.57 % --qbf_elim_univ true
% 0.39/0.57 % --qbf_sk_in true
% 0.39/0.57 % --qbf_pred_elim true
% 0.39/0.57 % --qbf_split 32
% 0.39/0.57
% 0.39/0.57 % ------ BMC1 Options
% 0.39/0.57
% 0.39/0.57 % --bmc1_incremental false
% 0.39/0.57 % --bmc1_axioms reachable_all
% 0.39/0.57 % --bmc1_min_bound 0
% 0.39/0.57 % --bmc1_max_bound -1
% 0.39/0.57 % --bmc1_max_bound_default -1
% 0.39/0.57 % --bmc1_symbol_reachability true
% 0.39/0.57 % --bmc1_property_lemmas false
% 0.39/0.57 % --bmc1_k_induction false
% 0.39/0.57 % --bmc1_non_equiv_states false
% 0.39/0.57 % --bmc1_deadlock false
% 0.39/0.57 % --bmc1_ucm false
% 0.39/0.57 % --bmc1_add_unsat_core none
% 0.39/0.57 % --bmc1_unsat_core_children false
% 0.39/0.57 % --bmc1_unsat_core_extrapolate_axioms false
% 0.39/0.57 % --bmc1_out_stat full
% 0.39/0.57 % --bmc1_ground_init false
% 0.39/0.57 % --bmc1_pre_inst_next_state false
% 0.39/0.57 % --bmc1_pre_inst_state false
% 0.39/0.57 % --bmc1_pre_inst_reach_state false
% 0.39/0.57 % --bmc1_out_unsat_core false
% 0.39/0.57 % --bmc1_aig_witness_out false
% 0.39/0.57 % --bmc1_verbose false
% 0.39/0.57 % --bmc1_dump_clauses_tptp false
% 1.00/1.29 % --bmc1_dump_unsat_core_tptp false
% 1.00/1.29 % --bmc1_dump_file -
% 1.00/1.29 % --bmc1_ucm_expand_uc_limit 128
% 1.00/1.29 % --bmc1_ucm_n_expand_iterations 6
% 1.00/1.29 % --bmc1_ucm_extend_mode 1
% 1.00/1.29 % --bmc1_ucm_init_mode 2
% 1.00/1.29 % --bmc1_ucm_cone_mode none
% 1.00/1.29 % --bmc1_ucm_reduced_relation_type 0
% 1.00/1.29 % --bmc1_ucm_relax_model 4
% 1.00/1.29 % --bmc1_ucm_full_tr_after_sat true
% 1.00/1.29 % --bmc1_ucm_expand_neg_assumptions false
% 1.00/1.29 % --bmc1_ucm_layered_model none
% 1.00/1.29 % --bmc1_ucm_max_lemma_size 10
% 1.00/1.29
% 1.00/1.29 % ------ AIG Options
% 1.00/1.29
% 1.00/1.29 % --aig_mode false
% 1.00/1.29
% 1.00/1.29 % ------ Instantiation Options
% 1.00/1.29
% 1.00/1.29 % --instantiation_flag true
% 1.00/1.29 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 1.00/1.29 % --inst_solver_per_active 750
% 1.00/1.29 % --inst_solver_calls_frac 0.5
% 1.00/1.29 % --inst_passive_queue_type priority_queues
% 1.00/1.29 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.00/1.29 % --inst_passive_queues_freq [25;2]
% 1.00/1.29 % --inst_dismatching true
% 1.00/1.29 % --inst_eager_unprocessed_to_passive true
% 1.00/1.29 % --inst_prop_sim_given true
% 1.00/1.29 % --inst_prop_sim_new false
% 1.00/1.29 % --inst_orphan_elimination true
% 1.00/1.29 % --inst_learning_loop_flag true
% 1.00/1.29 % --inst_learning_start 3000
% 1.00/1.29 % --inst_learning_factor 2
% 1.00/1.29 % --inst_start_prop_sim_after_learn 3
% 1.00/1.29 % --inst_sel_renew solver
% 1.00/1.29 % --inst_lit_activity_flag true
% 1.00/1.29 % --inst_out_proof true
% 1.00/1.29
% 1.00/1.29 % ------ Resolution Options
% 1.00/1.29
% 1.00/1.29 % --resolution_flag true
% 1.00/1.29 % --res_lit_sel kbo_max
% 1.00/1.29 % --res_to_prop_solver none
% 1.00/1.29 % --res_prop_simpl_new false
% 1.00/1.29 % --res_prop_simpl_given false
% 1.00/1.29 % --res_passive_queue_type priority_queues
% 1.00/1.29 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.00/1.29 % --res_passive_queues_freq [15;5]
% 1.00/1.29 % --res_forward_subs full
% 1.00/1.29 % --res_backward_subs full
% 1.00/1.29 % --res_forward_subs_resolution true
% 1.00/1.29 % --res_backward_subs_resolution true
% 1.00/1.29 % --res_orphan_elimination false
% 1.00/1.29 % --res_time_limit 1000.
% 1.00/1.29 % --res_out_proof true
% 1.00/1.29 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_ca3290.s
% 1.00/1.29 % --modulo true
% 1.00/1.29
% 1.00/1.29 % ------ Combination Options
% 1.00/1.29
% 1.00/1.29 % --comb_res_mult 1000
% 1.00/1.29 % --comb_inst_mult 300
% 1.00/1.29 % ------
% 1.00/1.29
% 1.00/1.29 % ------ Parsing...% successful
% 1.00/1.29
% 1.00/1.29 % ------ 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 %
% 1.00/1.29
% 1.00/1.29 % ------ Proving...
% 1.00/1.29 % ------ Problem Properties
% 1.00/1.29
% 1.00/1.29 %
% 1.00/1.29 % EPR false
% 1.00/1.29 % Horn false
% 1.00/1.29 % Has equality true
% 1.00/1.29
% 1.00/1.29 % % ------ Input Options Time Limit: Unbounded
% 1.00/1.29
% 1.00/1.29
% 1.00/1.29 Compiling...
% 1.00/1.29 Loading plugin: done.
% 1.00/1.29 Compiling...
% 1.00/1.29 Loading plugin: done.
% 1.00/1.29 Compiling...
% 1.00/1.29 Loading plugin: done.
% 1.00/1.29 Compiling...
% 1.00/1.29 Loading plugin: done.
% 1.00/1.29 Compiling...
% 1.00/1.29 Loading plugin: done.
% 1.00/1.29 Compiling...
% 1.00/1.29 Loading plugin: done.
% 1.00/1.29 % % ------ Current options:
% 1.00/1.29
% 1.00/1.29 % ------ Input Options
% 1.00/1.29
% 1.00/1.29 % --out_options all
% 1.00/1.29 % --tptp_safe_out true
% 1.00/1.29 % --problem_path ""
% 1.00/1.29 % --include_path ""
% 1.00/1.29 % --clausifier .//eprover
% 1.00/1.29 % --clausifier_options --tstp-format
% 1.00/1.29 % --stdin false
% 1.00/1.29 % --dbg_backtrace false
% 1.00/1.29 % --dbg_dump_prop_clauses false
% 1.00/1.29 % --dbg_dump_prop_clauses_file -
% 1.00/1.29 % --dbg_out_stat false
% 1.00/1.29
% 1.00/1.29 % ------ General Options
% 1.00/1.29
% 1.00/1.29 % --fof false
% 1.00/1.29 % --time_out_real 150.
% 1.00/1.29 % --time_out_prep_mult 0.2
% 1.00/1.29 % --time_out_virtual -1.
% 1.00/1.29 % --schedule none
% 1.00/1.30 % --ground_splitting input
% 1.00/1.30 % --splitting_nvd 16
% 1.00/1.30 % --non_eq_to_eq false
% 1.00/1.30 % --prep_gs_sim true
% 1.00/1.30 % --prep_unflatten false
% 1.00/1.30 % --prep_res_sim true
% 1.00/1.30 % --prep_upred true
% 1.00/1.30 % --res_sim_input true
% 1.00/1.30 % --clause_weak_htbl true
% 1.00/1.30 % --gc_record_bc_elim false
% 1.00/1.30 % --symbol_type_check false
% 1.00/1.30 % --clausify_out false
% 1.00/1.30 % --large_theory_mode false
% 1.00/1.30 % --prep_sem_filter none
% 1.00/1.30 % --prep_sem_filter_out false
% 1.00/1.30 % --preprocessed_out false
% 1.00/1.30 % --sub_typing false
% 1.00/1.30 % --brand_transform false
% 1.00/1.30 % --pure_diseq_elim true
% 1.00/1.30 % --min_unsat_core false
% 1.00/1.30 % --pred_elim true
% 1.00/1.30 % --add_important_lit false
% 1.00/1.30 % --soft_assumptions false
% 1.00/1.30 % --reset_solvers false
% 1.00/1.30 % --bc_imp_inh []
% 1.00/1.30 % --conj_cone_tolerance 1.5
% 1.00/1.30 % --prolific_symb_bound 500
% 1.00/1.30 % --lt_threshold 2000
% 1.00/1.30
% 1.00/1.30 % ------ SAT Options
% 1.00/1.30
% 1.00/1.30 % --sat_mode false
% 1.00/1.30 % --sat_fm_restart_options ""
% 1.00/1.30 % --sat_gr_def false
% 1.00/1.30 % --sat_epr_types true
% 1.00/1.30 % --sat_non_cyclic_types false
% 1.00/1.30 % --sat_finite_models false
% 1.00/1.30 % --sat_fm_lemmas false
% 1.00/1.30 % --sat_fm_prep false
% 1.00/1.30 % --sat_fm_uc_incr true
% 1.00/1.30 % --sat_out_model small
% 1.00/1.30 % --sat_out_clauses false
% 1.00/1.30
% 1.00/1.30 % ------ QBF Options
% 1.00/1.30
% 1.00/1.30 % --qbf_mode false
% 1.00/1.30 % --qbf_elim_univ true
% 1.00/1.30 % --qbf_sk_in true
% 1.00/1.30 % --qbf_pred_elim true
% 1.00/1.30 % --qbf_split 32
% 1.00/1.30
% 1.00/1.30 % ------ BMC1 Options
% 1.00/1.30
% 1.00/1.30 % --bmc1_incremental false
% 1.00/1.30 % --bmc1_axioms reachable_all
% 1.00/1.30 % --bmc1_min_bound 0
% 1.00/1.30 % --bmc1_max_bound -1
% 1.00/1.30 % --bmc1_max_bound_default -1
% 1.00/1.30 % --bmc1_symbol_reachability true
% 1.00/1.30 % --bmc1_property_lemmas false
% 1.00/1.30 % --bmc1_k_induction false
% 1.00/1.30 % --bmc1_non_equiv_states false
% 1.00/1.30 % --bmc1_deadlock false
% 1.00/1.30 % --bmc1_ucm false
% 1.00/1.30 % --bmc1_add_unsat_core none
% 1.00/1.30 % --bmc1_unsat_core_children false
% 1.00/1.30 % --bmc1_unsat_core_extrapolate_axioms false
% 1.00/1.30 % --bmc1_out_stat full
% 1.00/1.30 % --bmc1_ground_init false
% 1.00/1.30 % --bmc1_pre_inst_next_state false
% 1.00/1.30 % --bmc1_pre_inst_state false
% 1.00/1.30 % --bmc1_pre_inst_reach_state false
% 1.00/1.30 % --bmc1_out_unsat_core false
% 1.00/1.30 % --bmc1_aig_witness_out false
% 1.00/1.30 % --bmc1_verbose false
% 1.00/1.30 % --bmc1_dump_clauses_tptp false
% 1.00/1.30 % --bmc1_dump_unsat_core_tptp false
% 1.00/1.30 % --bmc1_dump_file -
% 1.00/1.30 % --bmc1_ucm_expand_uc_limit 128
% 1.00/1.30 % --bmc1_ucm_n_expand_iterations 6
% 1.00/1.30 % --bmc1_ucm_extend_mode 1
% 1.00/1.30 % --bmc1_ucm_init_mode 2
% 1.00/1.30 % --bmc1_ucm_cone_mode none
% 1.00/1.30 % --bmc1_ucm_reduced_relation_type 0
% 1.00/1.30 % --bmc1_ucm_relax_model 4
% 1.00/1.30 % --bmc1_ucm_full_tr_after_sat true
% 1.00/1.30 % --bmc1_ucm_expand_neg_assumptions false
% 1.00/1.30 % --bmc1_ucm_layered_model none
% 1.00/1.30 % --bmc1_ucm_max_lemma_size 10
% 1.00/1.30
% 1.00/1.30 % ------ AIG Options
% 1.00/1.30
% 1.00/1.30 % --aig_mode false
% 1.00/1.30
% 1.00/1.30 % ------ Instantiation Options
% 1.00/1.30
% 1.00/1.30 % --instantiation_flag true
% 1.00/1.30 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 1.00/1.30 % --inst_solver_per_active 750
% 1.00/1.30 % --inst_solver_calls_frac 0.5
% 1.00/1.30 % --inst_passive_queue_type priority_queues
% 1.00/1.30 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.59/1.79 % --inst_passive_queues_freq [25;2]
% 1.59/1.79 % --inst_dismatching true
% 1.59/1.79 % --inst_eager_unprocessed_to_passive true
% 1.59/1.79 % --inst_prop_sim_given true
% 1.59/1.79 % --inst_prop_sim_new false
% 1.59/1.79 % --inst_orphan_elimination true
% 1.59/1.79 % --inst_learning_loop_flag true
% 1.59/1.79 % --inst_learning_start 3000
% 1.59/1.79 % --inst_learning_factor 2
% 1.59/1.79 % --inst_start_prop_sim_after_learn 3
% 1.59/1.79 % --inst_sel_renew solver
% 1.59/1.79 % --inst_lit_activity_flag true
% 1.59/1.79 % --inst_out_proof true
% 1.59/1.79
% 1.59/1.79 % ------ Resolution Options
% 1.59/1.79
% 1.59/1.79 % --resolution_flag true
% 1.59/1.79 % --res_lit_sel kbo_max
% 1.59/1.79 % --res_to_prop_solver none
% 1.59/1.79 % --res_prop_simpl_new false
% 1.59/1.79 % --res_prop_simpl_given false
% 1.59/1.79 % --res_passive_queue_type priority_queues
% 1.59/1.79 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.59/1.79 % --res_passive_queues_freq [15;5]
% 1.59/1.79 % --res_forward_subs full
% 1.59/1.79 % --res_backward_subs full
% 1.59/1.79 % --res_forward_subs_resolution true
% 1.59/1.79 % --res_backward_subs_resolution true
% 1.59/1.79 % --res_orphan_elimination false
% 1.59/1.79 % --res_time_limit 1000.
% 1.59/1.79 % --res_out_proof true
% 1.59/1.79 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_ca3290.s
% 1.59/1.79 % --modulo true
% 1.59/1.79
% 1.59/1.79 % ------ Combination Options
% 1.59/1.79
% 1.59/1.79 % --comb_res_mult 1000
% 1.59/1.79 % --comb_inst_mult 300
% 1.59/1.79 % ------
% 1.59/1.79
% 1.59/1.79
% 1.59/1.79
% 1.59/1.79 % ------ Proving...
% 1.59/1.79 %
% 1.59/1.79
% 1.59/1.79
% 1.59/1.79 % Resolution empty clause
% 1.59/1.79
% 1.59/1.79 % ------ Statistics
% 1.59/1.79
% 1.59/1.79 % ------ General
% 1.59/1.79
% 1.59/1.79 % num_of_input_clauses: 2570
% 1.59/1.79 % num_of_input_neg_conjectures: 5
% 1.59/1.79 % num_of_splits: 0
% 1.59/1.79 % num_of_split_atoms: 0
% 1.59/1.79 % num_of_sem_filtered_clauses: 0
% 1.59/1.79 % num_of_subtypes: 0
% 1.59/1.79 % monotx_restored_types: 0
% 1.59/1.79 % sat_num_of_epr_types: 0
% 1.59/1.79 % sat_num_of_non_cyclic_types: 0
% 1.59/1.79 % sat_guarded_non_collapsed_types: 0
% 1.59/1.79 % is_epr: 0
% 1.59/1.79 % is_horn: 0
% 1.59/1.79 % has_eq: 1
% 1.59/1.79 % num_pure_diseq_elim: 0
% 1.59/1.79 % simp_replaced_by: 0
% 1.59/1.79 % res_preprocessed: 10
% 1.59/1.79 % prep_upred: 0
% 1.59/1.79 % prep_unflattend: 0
% 1.59/1.79 % pred_elim_cands: 0
% 1.59/1.79 % pred_elim: 0
% 1.59/1.79 % pred_elim_cl: 0
% 1.59/1.79 % pred_elim_cycles: 0
% 1.59/1.79 % forced_gc_time: 0
% 1.59/1.79 % gc_basic_clause_elim: 0
% 1.59/1.79 % parsing_time: 0.07
% 1.59/1.79 % sem_filter_time: 0.
% 1.59/1.79 % pred_elim_time: 0.
% 1.59/1.79 % out_proof_time: 0.
% 1.59/1.79 % monotx_time: 0.
% 1.59/1.79 % subtype_inf_time: 0.
% 1.59/1.79 % unif_index_cands_time: 0.002
% 1.59/1.79 % unif_index_add_time: 0.005
% 1.59/1.79 % total_time: 1.234
% 1.59/1.79 % num_of_symbols: 232
% 1.59/1.79 % num_of_terms: 17365
% 1.59/1.79
% 1.59/1.79 % ------ Propositional Solver
% 1.59/1.79
% 1.59/1.79 % prop_solver_calls: 1
% 1.59/1.79 % prop_fast_solver_calls: 18
% 1.59/1.79 % prop_num_of_clauses: 1889
% 1.59/1.79 % prop_preprocess_simplified: 8171
% 1.59/1.79 % prop_fo_subsumed: 0
% 1.59/1.79 % prop_solver_time: 0.
% 1.59/1.79 % prop_fast_solver_time: 0.
% 1.59/1.79 % prop_unsat_core_time: 0.
% 1.59/1.79
% 1.59/1.79 % ------ QBF
% 1.59/1.79
% 1.59/1.79 % qbf_q_res: 0
% 1.59/1.79 % qbf_num_tautologies: 0
% 1.59/1.79 % qbf_prep_cycles: 0
% 1.59/1.79
% 1.59/1.79 % ------ BMC1
% 1.59/1.79
% 1.59/1.79 % bmc1_current_bound: -1
% 1.59/1.79 % bmc1_last_solved_bound: -1
% 1.59/1.79 % bmc1_unsat_core_size: -1
% 1.59/1.79 % bmc1_unsat_core_parents_size: -1
% 1.59/1.79 % bmc1_merge_next_fun: 0
% 1.59/1.79 % bmc1_unsat_core_clauses_time: 0.
% 1.59/1.79
% 1.59/1.79 % ------ Instantiation
% 1.60/1.79
% 1.60/1.79 % inst_num_of_clauses: 2550
% 1.60/1.79 % inst_num_in_passive: 0
% 1.60/1.79 % inst_num_in_active: 0
% 1.60/1.79 % inst_num_in_unprocessed: 2570
% 1.60/1.79 % inst_num_of_loops: 0
% 1.60/1.79 % inst_num_of_learning_restarts: 0
% 1.60/1.79 % inst_num_moves_active_passive: 0
% 1.60/1.79 % inst_lit_activity: 0
% 1.60/1.79 % inst_lit_activity_moves: 0
% 1.60/1.79 % inst_num_tautologies: 0
% 1.60/1.79 % inst_num_prop_implied: 0
% 1.60/1.79 % inst_num_existing_simplified: 0
% 1.60/1.79 % inst_num_eq_res_simplified: 0
% 1.60/1.79 % inst_num_child_elim: 0
% 1.60/1.79 % inst_num_of_dismatching_blockings: 0
% 1.60/1.79 % inst_num_of_non_proper_insts: 0
% 1.60/1.79 % inst_num_of_duplicates: 0
% 1.60/1.79 % inst_inst_num_from_inst_to_res: 0
% 1.60/1.79 % inst_dismatching_checking_time: 0.
% 1.60/1.79
% 1.60/1.79 % ------ Resolution
% 1.60/1.79
% 1.60/1.79 % res_num_of_clauses: 7695
% 1.60/1.79 % res_num_in_passive: 4695
% 1.60/1.79 % res_num_in_active: 1774
% 1.60/1.79 % res_num_of_loops: 579
% 1.60/1.79 % res_forward_subset_subsumed: 1320
% 1.60/1.79 % res_backward_subset_subsumed: 3
% 1.60/1.79 % res_forward_subsumed: 137
% 1.60/1.79 % res_backward_subsumed: 21
% 1.60/1.79 % res_forward_subsumption_resolution: 2
% 1.60/1.79 % res_backward_subsumption_resolution: 0
% 1.60/1.79 % res_clause_to_clause_subsumption: 1470
% 1.60/1.79 % res_orphan_elimination: 0
% 1.60/1.79 % res_tautology_del: 1
% 1.60/1.79 % res_num_eq_res_simplified: 0
% 1.60/1.79 % res_num_sel_changes: 0
% 1.60/1.79 % res_moves_from_active_to_pass: 0
% 1.60/1.79
% 1.60/1.79 % Status Unsatisfiable
% 1.60/1.79 % SZS status Unsatisfiable
% 1.60/1.79 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------