TSTP Solution File: SWW296+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWW296+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 00:16:58 EDT 2023

% Result   : Theorem 11.84s 11.98s
% Output   : CNFRefutation 11.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      : 1091
% Syntax   : Number of formulae    : 1161 (  74 unt;1070 typ;   0 def)
%            Number of atoms       :  110 (  93 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   46 (  27   ~;  15   |;   1   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 2991 (1017   >;1974   *;   0   +;   0  <<)
%            Number of predicates  :  146 ( 144 usr;   1 prp; 0-8 aty)
%            Number of functors    :  926 ( 926 usr;  53 con; 0-11 aty)
%            Number of variables   :  167 (  18 sgn;  92   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    hAPP: ( $i * $i ) > $i ).

tff(decl_23,type,
    c_Hoare__Mirabelle_Otriple__valid: ( $i * $i * $i ) > $o ).

tff(decl_24,type,
    tc_HOL_Obool: $i ).

tff(decl_25,type,
    tc_Com_Ocom: $i ).

tff(decl_26,type,
    tc_Com_Ostate: $i ).

tff(decl_27,type,
    tc_fun: ( $i * $i ) > $i ).

tff(decl_28,type,
    c_COMBB: ( $i * $i * $i ) > $i ).

tff(decl_29,type,
    c_HOL_OAll: $i > $i ).

tff(decl_30,type,
    c_COMBC: ( $i * $i * $i ) > $i ).

tff(decl_31,type,
    c_COMBS: ( $i * $i * $i ) > $i ).

tff(decl_32,type,
    c_fimplies: $i ).

tff(decl_33,type,
    tc_Nat_Onat: $i ).

tff(decl_34,type,
    c_Natural_Oevaln: $i ).

tff(decl_35,type,
    c_Hoare__Mirabelle_Otriple_Otriple__case: ( $i * $i * $i * $i ) > $i ).

tff(decl_36,type,
    hBOOL: $i > $o ).

tff(decl_37,type,
    c_Nat_OSuc: $i ).

tff(decl_38,type,
    c_Hoare__Mirabelle_Otriple_Otriple: $i > $i ).

tff(decl_39,type,
    c_Hoare__Mirabelle_Opeek__and: ( $i * $i * $i ) > $i ).

tff(decl_40,type,
    c_Quotient_Ofun__rel: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_41,type,
    class_Rings_Osemiring__1: $i > $o ).

tff(decl_42,type,
    c_Nat_Osemiring__1__class_Oof__nat__aux: ( $i * $i * $i * $i ) > $i ).

tff(decl_43,type,
    c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).

tff(decl_44,type,
    c_fequal: $i ).

tff(decl_45,type,
    c_HOL_OLet: ( $i * $i ) > $i ).

tff(decl_46,type,
    c_Hoare__Mirabelle_Otriple_Otriple__rec: ( $i * $i * $i * $i ) > $i ).

tff(decl_47,type,
    c_Nat_Onat_Onat__case: $i > $i ).

tff(decl_48,type,
    c_Com_Ocom_OSKIP: $i ).

tff(decl_49,type,
    c_Nat_Onat_Onat__rec: ( $i * $i * $i ) > $i ).

tff(decl_50,type,
    c_Com_Ocom_OSemi: ( $i * $i ) > $i ).

tff(decl_51,type,
    c_Groups_Ozero__class_Ozero: $i > $i ).

tff(decl_52,type,
    c_Com_Ocom_OCond: ( $i * $i * $i ) > $i ).

tff(decl_53,type,
    c_Hoare__Mirabelle_Otriple_Otriple__size: ( $i * $i * $i ) > $i ).

tff(decl_54,type,
    tc_Hoare__Mirabelle_Otriple: $i > $i ).

tff(decl_55,type,
    c_Nat_Osize__class_Osize: $i > $i ).

tff(decl_56,type,
    c_Com_Ocom_OBODY: $i ).

tff(decl_57,type,
    c_Orderings_Oord__class_OLeast: $i > $i ).

tff(decl_58,type,
    c_Com_Ocom_Ocom__size: $i > $i ).

tff(decl_59,type,
    c_Option_Othe: $i > $i ).

tff(decl_60,type,
    c_Com_Obody: $i ).

tff(decl_61,type,
    class_Groups_Ozero: $i > $o ).

tff(decl_62,type,
    c_Quotient_OQuotient: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_63,type,
    c_If: $i > $i ).

tff(decl_64,type,
    class_Orderings_Owellorder: $i > $o ).

tff(decl_65,type,
    c_Natural_Oevalc: $i > $i ).

tff(decl_66,type,
    c_Groups_Oplus__class_Oplus: $i > $i ).

tff(decl_67,type,
    c_Fun_Omap__fun: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_68,type,
    class_Groups_Ocancel__semigroup__add: $i > $o ).

tff(decl_69,type,
    class_Groups_Ocancel__ab__semigroup__add: $i > $o ).

tff(decl_70,type,
    class_Groups_Oab__semigroup__add: $i > $o ).

tff(decl_71,type,
    class_Groups_Omonoid__add: $i > $o ).

tff(decl_72,type,
    class_Groups_Ocomm__monoid__add: $i > $o ).

tff(decl_73,type,
    class_Groups_Olinordered__ab__group__add: $i > $o ).

tff(decl_74,type,
    c_Hoare__Mirabelle_OMGT: $i > $i ).

tff(decl_75,type,
    class_Rings_Ocomm__semiring__1: $i > $o ).

tff(decl_76,type,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).

tff(decl_77,type,
    c_Com_Ocom_OLocal: ( $i * $i * $i ) > $i ).

tff(decl_78,type,
    c_Com_Ocom_OWhile: ( $i * $i ) > $i ).

tff(decl_79,type,
    c_Nat_Onat_Onat__size: $i > $i ).

tff(decl_80,type,
    c_Quotient_OBex1__rel: ( $i * $i ) > $i ).

tff(decl_81,type,
    c_fFalse: $i ).

tff(decl_82,type,
    c_HOL_Obool_Obool__size: $i > $i ).

tff(decl_83,type,
    c_fTrue: $i ).

tff(decl_84,type,
    c_Fun_Oid: $i > $i ).

tff(decl_85,type,
    c_member: $i > $i ).

tff(decl_86,type,
    class_Int_Oring__char__0: $i > $o ).

tff(decl_87,type,
    c_Int_Oring__1__class_OInts: $i > $i ).

tff(decl_88,type,
    c_Fun_Ooverride__on: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_89,type,
    c_Nat_Osemiring__1__class_ONats: $i > $i ).

tff(decl_90,type,
    c_Nat_Ocompow: ( $i * $i ) > $i ).

tff(decl_91,type,
    c_COMBI: $i > $i ).

tff(decl_92,type,
    class_Rings_Oring__1: $i > $o ).

tff(decl_93,type,
    c_Nat_Ofunpow: $i > $i ).

tff(decl_94,type,
    c_Fun_Ocomp: ( $i * $i * $i ) > $i ).

tff(decl_95,type,
    c_Groups_Oone__class_Oone: $i > $i ).

tff(decl_96,type,
    c_Quotient_ORespects: ( $i * $i ) > $i ).

tff(decl_97,type,
    c_Nitpick_Opair__box_OPairBox: ( $i * $i * $i * $i ) > $i ).

tff(decl_98,type,
    c_Nitpick_Opair__box_Opair__box__size: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_99,type,
    c_Sum__Type_OInr: ( $i * $i ) > $i ).

tff(decl_100,type,
    c_Sum__Type_Osum_Osum__size: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_101,type,
    c_Sum__Type_OInl: ( $i * $i ) > $i ).

tff(decl_102,type,
    c_Com_Ocom_OCall: ( $i * $i * $i ) > $i ).

tff(decl_103,type,
    class_Groups_Oone: $i > $o ).

tff(decl_104,type,
    tc_Nitpick_Opair__box: ( $i * $i ) > $i ).

tff(decl_105,type,
    c_Nitpick_Opair__box_Opair__box__rec: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_106,type,
    c_Nitpick_Opair__box_Opair__box__case: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_107,type,
    tc_sum: ( $i * $i ) > $i ).

tff(decl_108,type,
    c_Quotient_OBabs: ( $i * $i * $i * $i ) > $i ).

tff(decl_109,type,
    c_COMBK: ( $i * $i ) > $i ).

tff(decl_110,type,
    c_Sum__Type_OProjl: ( $i * $i * $i ) > $i ).

tff(decl_111,type,
    c_Sum__Type_OProjr: ( $i * $i * $i ) > $i ).

tff(decl_112,type,
    class_Rings_Ozero__neq__one: $i > $o ).

tff(decl_113,type,
    c_Sum__Type_Osum_Osum__rec: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_114,type,
    class_Rings_Olinordered__idom: $i > $o ).

tff(decl_115,type,
    c_Orderings_Oord__class_Oless: $i > $i ).

tff(decl_116,type,
    c_Nat_Osemiring__1__class_Oof__nat: $i > $i ).

tff(decl_117,type,
    c_Sum__Type_OPlus: ( $i * $i * $i * $i ) > $i ).

tff(decl_118,type,
    tc_Int_Oint: $i ).

tff(decl_119,type,
    class_Rings_Olinordered__semidom: $i > $o ).

tff(decl_120,type,
    class_Nat_Osemiring__char__0: $i > $o ).

tff(decl_121,type,
    class_Orderings_Olinorder: $i > $o ).

tff(decl_122,type,
    class_Orderings_Opreorder: $i > $o ).

tff(decl_123,type,
    class_Orderings_Oorder: $i > $o ).

tff(decl_124,type,
    class_Orderings_Oord: $i > $o ).

tff(decl_125,type,
    class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).

tff(decl_126,type,
    class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).

tff(decl_127,type,
    class_Groups_Oordered__comm__monoid__add: $i > $o ).

tff(decl_128,type,
    c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).

tff(decl_129,type,
    c_Sum__Type_Osum_Osum__case: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_130,type,
    c_Equiv__Relations_Oequivp: ( $i * $i ) > $o ).

tff(decl_131,type,
    c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).

tff(decl_132,type,
    c_Predicate_OPowp: ( $i * $i ) > $i ).

tff(decl_133,type,
    c_Record_Oiso__tuple__update__accessor__eq__assist: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_134,type,
    c_Datatype_OPush: $i > $i ).

tff(decl_135,type,
    class_Groups_Osgn__if: $i > $o ).

tff(decl_136,type,
    c_Orderings_Oord__class_Oless__eq: $i > $i ).

tff(decl_137,type,
    c_Int_Onat: $i ).

tff(decl_138,type,
    class_Groups_Oordered__ab__semigroup__add: $i > $o ).

tff(decl_139,type,
    c_Int_Onat__aux: ( $i * $i ) > $i ).

tff(decl_140,type,
    c_Nat__Transfer_Otransfer__morphism: ( $i * $i * $i * $i ) > $o ).

tff(decl_141,type,
    class_Rings_Olinordered__semiring__1__strict: $i > $o ).

tff(decl_142,type,
    c_Groups_Otimes__class_Otimes: $i > $i ).

tff(decl_143,type,
    c_Power_Opower__class_Opower: $i > $i ).

tff(decl_144,type,
    c_Int_Oring__1__class_Oof__int: $i > $i ).

tff(decl_145,type,
    class_Power_Opower: $i > $o ).

tff(decl_146,type,
    class_Groups_Omonoid__mult: $i > $o ).

tff(decl_147,type,
    class_Groups_Ocomm__monoid__mult: $i > $o ).

tff(decl_148,type,
    class_Groups_Oab__semigroup__mult: $i > $o ).

tff(decl_149,type,
    class_Rings_Oring__1__no__zero__divisors: $i > $o ).

tff(decl_150,type,
    class_Rings_Ono__zero__divisors: $i > $o ).

tff(decl_151,type,
    class_Rings_Oring__no__zero__divisors: $i > $o ).

tff(decl_152,type,
    class_Rings_Omult__zero: $i > $o ).

tff(decl_153,type,
    class_Rings_Osemiring: $i > $o ).

tff(decl_154,type,
    class_Rings_Ocomm__semiring: $i > $o ).

tff(decl_155,type,
    class_Rings_Osemiring__0: $i > $o ).

tff(decl_156,type,
    class_Rings_Oordered__cancel__semiring: $i > $o ).

tff(decl_157,type,
    class_Rings_Oordered__ring: $i > $o ).

tff(decl_158,type,
    class_Rings_Oordered__semiring: $i > $o ).

tff(decl_159,type,
    class_Rings_Oordered__comm__semiring: $i > $o ).

tff(decl_160,type,
    class_Rings_Olinordered__ring__strict: $i > $o ).

tff(decl_161,type,
    class_Rings_Olinordered__ring: $i > $o ).

tff(decl_162,type,
    class_Rings_Olinordered__comm__semiring__strict: $i > $o ).

tff(decl_163,type,
    class_Rings_Olinordered__semiring__strict: $i > $o ).

tff(decl_164,type,
    class_Rings_Olinordered__semiring: $i > $o ).

tff(decl_165,type,
    class_Rings_Olinordered__semiring__1: $i > $o ).

tff(decl_166,type,
    c_Groups_Ouminus__class_Ouminus: $i > $i ).

tff(decl_167,type,
    c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).

tff(decl_168,type,
    class_Divides_Oring__div: $i > $o ).

tff(decl_169,type,
    class_Divides_Osemiring__div: $i > $o ).

tff(decl_170,type,
    class_Groups_Ogroup__add: $i > $o ).

tff(decl_171,type,
    class_Groups_Oordered__ab__group__add: $i > $o ).

tff(decl_172,type,
    class_Groups_Oab__group__add: $i > $o ).

tff(decl_173,type,
    class_Rings_Oring: $i > $o ).

tff(decl_174,type,
    class_Rings_Oidom: $i > $o ).

tff(decl_175,type,
    class_Rings_Ocomm__ring__1: $i > $o ).

tff(decl_176,type,
    c_SMT_Oz3mod: ( $i * $i ) > $i ).

tff(decl_177,type,
    class_Lattices_Oboolean__algebra: $i > $o ).

tff(decl_178,type,
    c_Divides_Odiv__class_Odiv: $i > $i ).

tff(decl_179,type,
    c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).

tff(decl_180,type,
    class_Lattices_Oab__semigroup__idem__mult: $i > $o ).

tff(decl_181,type,
    class_Groups_Ouminus: $i > $o ).

tff(decl_182,type,
    c_SMT_Oz3div: ( $i * $i ) > $i ).

tff(decl_183,type,
    c_Groups_Ominus__class_Ominus: $i > $i ).

tff(decl_184,type,
    class_Groups_Ominus: $i > $o ).

tff(decl_185,type,
    c_Nat__Numeral_Oneg: $i ).

tff(decl_186,type,
    c_Int_Onumber__class_Onumber__of: $i > $i ).

tff(decl_187,type,
    c_Nitpick_Onat__gcd: ( $i * $i ) > $i ).

tff(decl_188,type,
    c_Divides_Odivmod__nat: ( $i * $i ) > $i ).

tff(decl_189,type,
    c_Product__Type_OPair: ( $i * $i ) > $i ).

tff(decl_190,type,
    tc_prod: ( $i * $i ) > $i ).

tff(decl_191,type,
    class_Int_Onumber__ring: $i > $o ).

tff(decl_192,type,
    class_Int_Onumber: $i > $o ).

tff(decl_193,type,
    c_Nitpick_Onat__lcm: ( $i * $i ) > $i ).

tff(decl_194,type,
    c_FunDef_Oin__rel: ( $i * $i * $i ) > $i ).

tff(decl_195,type,
    c_Divides_Odivmod__nat__rel: ( $i * $i ) > $i ).

tff(decl_196,type,
    c_Nitpick_Orefl_H: ( $i * $i ) > $o ).

tff(decl_197,type,
    c_Int_Osucc: $i > $i ).

tff(decl_198,type,
    c_Int_OPls: $i ).

tff(decl_199,type,
    c_Wellfounded_Omeasure: $i > $i ).

tff(decl_200,type,
    c_Int_Opred: $i > $i ).

tff(decl_201,type,
    c_Int_Oiszero: ( $i * $i ) > $o ).

tff(decl_202,type,
    c_fNot: $i ).

tff(decl_203,type,
    c_fconj: $i ).

tff(decl_204,type,
    c_Int_OBit1: $i > $i ).

tff(decl_205,type,
    c_Divides_Odivmod__int__rel: ( $i * $i ) > $i ).

tff(decl_206,type,
    c_Wellfounded_Omlex__prod: ( $i * $i * $i ) > $i ).

tff(decl_207,type,
    c_Orderings_Oord__class_Omin: $i > $i ).

tff(decl_208,type,
    c_Int_OBit0: $i > $i ).

tff(decl_209,type,
    c_Divides_Oadjust: $i > $i ).

tff(decl_210,type,
    tc_Code__Numeral_Ocode__numeral: $i ).

tff(decl_211,type,
    c_Code__Numeral_Oint__of: $i ).

tff(decl_212,type,
    c_Product__Type_Oprod_Oprod__case: ( $i * $i * $i ) > $i ).

tff(decl_213,type,
    c_Divides_Odivmod__int: ( $i * $i ) > $i ).

tff(decl_214,type,
    c_Nitpick_Onorm__frac: ( $i * $i ) > $i ).

tff(decl_215,type,
    c_Nitpick_Oint__gcd: $i ).

tff(decl_216,type,
    c_Orderings_Oord_Omin: ( $i * $i ) > $i ).

tff(decl_217,type,
    c_Int_OMin: $i ).

tff(decl_218,type,
    c_Nitpick_OFrac: $i ).

tff(decl_219,type,
    c_Code__Numeral_Odiv__mod__code__numeral: ( $i * $i ) > $i ).

tff(decl_220,type,
    c_Divides_OnegDivAlg: ( $i * $i ) > $i ).

tff(decl_221,type,
    c_Divides_OposDivAlg: ( $i * $i ) > $i ).

tff(decl_222,type,
    c_Code__Numeral_Onat__of__aux: ( $i * $i ) > $i ).

tff(decl_223,type,
    c_Divides_OnegateSnd: $i ).

tff(decl_224,type,
    c_Divides_OnegDivAlg__rel: $i ).

tff(decl_225,type,
    c_Wellfounded_Oaccp: ( $i * $i ) > $i ).

tff(decl_226,type,
    c_Divides_OposDivAlg__rel: $i ).

tff(decl_227,type,
    c_Nitpick_Onorm__frac__rel: $i ).

tff(decl_228,type,
    c_Product__Type_Oprod_Oprod__rec: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_229,type,
    c_Product__Type_Osnd: ( $i * $i ) > $i ).

tff(decl_230,type,
    c_Product__Type_Ofst: ( $i * $i ) > $i ).

tff(decl_231,type,
    c_Product__Type_Oprod_Oprod__size: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_232,type,
    c_Nitpick_Onat__gcd__rel: $i ).

tff(decl_233,type,
    c_Code__Numeral_Ocode__numeral_Ocode__numeral__size: $i > $i ).

tff(decl_234,type,
    c_Code__Numeral_OSuc__code__numeral: $i > $i ).

tff(decl_235,type,
    c_Wellfounded_Olex__prod: ( $i * $i * $i * $i ) > $i ).

tff(decl_236,type,
    c_Orderings_Oord__class_Omax: $i > $i ).

tff(decl_237,type,
    c_Recdef_Osame__fst: ( $i * $i * $i * $i ) > $i ).

tff(decl_238,type,
    c_Orderings_Oord_Omax: ( $i * $i ) > $i ).

tff(decl_239,type,
    c_FunDef_Opair__less: $i ).

tff(decl_240,type,
    c_FunDef_Opair__leq: $i ).

tff(decl_241,type,
    c_Int_Ointrel: $i ).

tff(decl_242,type,
    c_Code__Numeral_Ocode__numeral_Ocode__numeral__case: ( $i * $i * $i * $i ) > $i ).

tff(decl_243,type,
    c_Product__Type_Oapsnd: ( $i * $i * $i * $i ) > $i ).

tff(decl_244,type,
    c_fdisj: $i ).

tff(decl_245,type,
    c_Divides_Opdivmod: ( $i * $i ) > $i ).

tff(decl_246,type,
    c_Groups_Oabs__class_Oabs: $i > $i ).

tff(decl_247,type,
    class_Groups_Oordered__ab__group__add__abs: $i > $o ).

tff(decl_248,type,
    class_Rings_Oordered__ring__abs: $i > $o ).

tff(decl_249,type,
    class_Groups_Oabs__if: $i > $o ).

tff(decl_250,type,
    c_Nitpick_Oint__lcm: ( $i * $i ) > $i ).

tff(decl_251,type,
    c_Product__Type_Oapfst: ( $i * $i * $i * $i ) > $i ).

tff(decl_252,type,
    c_Wellfounded_Oacc: ( $i * $i ) > $i ).

tff(decl_253,type,
    c_Equiv__Relations_Ocongruent: ( $i * $i * $i * $i ) > $o ).

tff(decl_254,type,
    c_Nitpick_Ozero__frac: $i > $i ).

tff(decl_255,type,
    c_Nitpick_OAbs__Frac: ( $i * $i ) > $i ).

tff(decl_256,type,
    class_Fields_Olinordered__field__inverse__zero: $i > $o ).

tff(decl_257,type,
    c_Rings_Oinverse__class_Odivide: $i > $i ).

tff(decl_258,type,
    class_Rings_Odivision__ring: $i > $o ).

tff(decl_259,type,
    class_Rings_Odivision__ring__inverse__zero: $i > $o ).

tff(decl_260,type,
    class_Fields_Ofield__inverse__zero: $i > $o ).

tff(decl_261,type,
    class_Fields_Ofield: $i > $o ).

tff(decl_262,type,
    c_Nitpick_Oone__frac: $i > $i ).

tff(decl_263,type,
    c_Nitpick_Onumber__of__frac: ( $i * $i ) > $i ).

tff(decl_264,type,
    class_Fields_Olinordered__field: $i > $o ).

tff(decl_265,type,
    c_Nitpick_Ofrac: $i > $i ).

tff(decl_266,type,
    c_Nat__Transfer_Ois__nat: $i > $o ).

tff(decl_267,type,
    c_Equiv__Relations_Ocongruent2: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_268,type,
    c_Product__Type_Oscomp: ( $i * $i * $i * $i ) > $i ).

tff(decl_269,type,
    c_Relation_Orefl__on: ( $i * $i * $i ) > $o ).

tff(decl_270,type,
    c_Random_Olog: ( $i * $i ) > $i ).

tff(decl_271,type,
    c_Random_Ominus__shift: ( $i * $i * $i ) > $i ).

tff(decl_272,type,
    c_Random_Oinc__shift: ( $i * $i ) > $i ).

tff(decl_273,type,
    c_Random_Oiterate: ( $i * $i * $i * $i ) > $i ).

tff(decl_274,type,
    c_Relation_Oirrefl: ( $i * $i ) > $o ).

tff(decl_275,type,
    c_Random_Orange: $i > $i ).

tff(decl_276,type,
    c_Nitpick_Oplus__frac: ( $i * $i * $i ) > $i ).

tff(decl_277,type,
    c_Nitpick_Odenom: $i > $i ).

tff(decl_278,type,
    c_Nitpick_Onum: $i > $i ).

tff(decl_279,type,
    c_Product__Type_Ointernal__split: ( $i * $i * $i ) > $i ).

tff(decl_280,type,
    c_FunDef_Ois__measure: ( $i * $i ) > $o ).

tff(decl_281,type,
    c_Code__Numeral_Osubtract__code__numeral: $i ).

tff(decl_282,type,
    class_Nat_Osize: $i > $o ).

tff(decl_283,type,
    c_Nitpick_Otimes__frac: ( $i * $i * $i ) > $i ).

tff(decl_284,type,
    class_Rings_Oinverse: $i > $o ).

tff(decl_285,type,
    c_Nitpick_Oof__frac: ( $i * $i * $i ) > $i ).

tff(decl_286,type,
    c_Nitpick_Oinverse__frac: ( $i * $i ) > $i ).

tff(decl_287,type,
    c_Nitpick_Ouminus__frac: ( $i * $i ) > $i ).

tff(decl_288,type,
    c_Nitpick_ORep__Frac: $i > $i ).

tff(decl_289,type,
    c_Nitpick_Oless__frac: ( $i * $i * $i ) > $o ).

tff(decl_290,type,
    c_Nitpick_Oless__eq__frac: ( $i * $i * $i ) > $o ).

tff(decl_291,type,
    c_Set_Oimage: ( $i * $i ) > $i ).

tff(decl_292,type,
    c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).

tff(decl_293,type,
    c_HOL_OThe: ( $i * $i ) > $i ).

tff(decl_294,type,
    c_Orderings_Oorder__class_Omono: ( $i * $i * $i ) > $o ).

tff(decl_295,type,
    c_FunDef_OTHE__default: ( $i * $i * $i ) > $i ).

tff(decl_296,type,
    c_Datatype_Ondepth: ( $i * $i * $i ) > $i ).

tff(decl_297,type,
    c_Datatype_ORep__Node: ( $i * $i ) > $i ).

tff(decl_298,type,
    c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).

tff(decl_299,type,
    c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec: ( $i * $i * $i * $i ) > $i ).

tff(decl_300,type,
    c_Datatype_OPush__Node: ( $i * $i ) > $i ).

tff(decl_301,type,
    c_Datatype_OAbs__Node: ( $i * $i ) > $i ).

tff(decl_302,type,
    c_Equiv__Relations_Oquotient: $i > $i ).

tff(decl_303,type,
    c_Orderings_Otop__class_Otop: $i > $i ).

tff(decl_304,type,
    class_Orderings_Otop: $i > $o ).

tff(decl_305,type,
    c_Nat__Transfer_Onat__set: $i > $o ).

tff(decl_306,type,
    c_Datatype_ONode: ( $i * $i ) > $i ).

tff(decl_307,type,
    c_Int_OInteg: $i ).

tff(decl_308,type,
    tc_Datatype_Onode: ( $i * $i ) > $i ).

tff(decl_309,type,
    c_Typedef_Otype__definition: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_310,type,
    c_Set_OPow: $i > $i ).

tff(decl_311,type,
    c_Random__Sequence_ORandom: ( $i * $i * $i * $i ) > $i ).

tff(decl_312,type,
    tc_Lazy__Sequence_Olazy__sequence: $i > $i ).

tff(decl_313,type,
    tc_Option_Ooption: $i > $i ).

tff(decl_314,type,
    c_DSequence_Oempty: $i > $i ).

tff(decl_315,type,
    tc_Product__Type_Ounit: $i ).

tff(decl_316,type,
    tc_Code__Evaluation_Oterm: $i ).

tff(decl_317,type,
    c_DSequence_Ounion: $i > $i ).

tff(decl_318,type,
    c_DSequence_Osingle: $i > $i ).

tff(decl_319,type,
    c_Random__Sequence_Oempty: ( $i * $i * $i ) > $i ).

tff(decl_320,type,
    c_Random__Sequence_Osingle: $i > $i ).

tff(decl_321,type,
    c_Relation_ORange: ( $i * $i ) > $i ).

tff(decl_322,type,
    c_Predicate_ORangeP: ( $i * $i * $i * $i ) > $o ).

tff(decl_323,type,
    c_Random__Sequence_Omap: ( $i * $i * $i * $i ) > $i ).

tff(decl_324,type,
    c_Random__Sequence_Obind: ( $i * $i * $i * $i ) > $i ).

tff(decl_325,type,
    c_Relation_OId__on: ( $i * $i ) > $i ).

tff(decl_326,type,
    c_Relation_OId: $i > $i ).

tff(decl_327,type,
    c_New__DSequence_Opos__not__seq: $i > $i ).

tff(decl_328,type,
    c_Lazy__Sequence_Ohb__not__seq: $i > $i ).

tff(decl_329,type,
    c_Product__Type_Omap__pair: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_330,type,
    c_New__Random__Sequence_Opos__not__random__dseq: ( $i * $i * $i * $i ) > $i ).

tff(decl_331,type,
    c_New__DSequence_Oneg__decr__bind: ( $i * $i * $i * $i ) > $i ).

tff(decl_332,type,
    c_Lazy__Sequence_Ohit__bound: $i > $i ).

tff(decl_333,type,
    c_Lazy__Sequence_Ohb__bind: ( $i * $i * $i * $i ) > $i ).

tff(decl_334,type,
    c_New__Random__Sequence_Oneg__decr__bind: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_335,type,
    c_New__DSequence_Oneg__bind: ( $i * $i * $i * $i ) > $i ).

tff(decl_336,type,
    c_New__DSequence_Opos__decr__bind: ( $i * $i * $i * $i ) > $i ).

tff(decl_337,type,
    c_Lazy__Sequence_Oempty: $i > $i ).

tff(decl_338,type,
    c_Lazy__Sequence_Obind: ( $i * $i * $i ) > $i ).

tff(decl_339,type,
    c_Code__Numeral_Oof__nat: $i ).

tff(decl_340,type,
    c_New__Random__Sequence_Opos__decr__bind: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_341,type,
    c_New__Random__Sequence_Oneg__bind: ( $i * $i * $i * $i ) > $i ).

tff(decl_342,type,
    c_New__DSequence_Opos__empty: $i > $i ).

tff(decl_343,type,
    c_New__DSequence_Opos__bind: ( $i * $i * $i * $i ) > $i ).

tff(decl_344,type,
    c_New__Random__Sequence_Opos__empty: ( $i * $i * $i * $i ) > $i ).

tff(decl_345,type,
    c_New__Random__Sequence_Opos__bind: ( $i * $i * $i * $i ) > $i ).

tff(decl_346,type,
    c_Code__Numeral_Onat__of: $i ).

tff(decl_347,type,
    c_New__Random__Sequence_Oneg__map: ( $i * $i * $i * $i ) > $i ).

tff(decl_348,type,
    c_New__Random__Sequence_Oneg__single: $i > $i ).

tff(decl_349,type,
    c_New__DSequence_Oneg__single: ( $i * $i ) > $i ).

tff(decl_350,type,
    c_New__Random__Sequence_Opos__map: ( $i * $i * $i * $i ) > $i ).

tff(decl_351,type,
    c_New__Random__Sequence_Opos__single: $i > $i ).

tff(decl_352,type,
    c_Lazy__Sequence_Ohb__single: ( $i * $i ) > $i ).

tff(decl_353,type,
    c_New__DSequence_Opos__single: ( $i * $i ) > $i ).

tff(decl_354,type,
    c_Lazy__Sequence_Osingle: $i > $i ).

tff(decl_355,type,
    c_Quickcheck_Obeyond: ( $i * $i ) > $i ).

tff(decl_356,type,
    c_Product__Type_Ocurry: ( $i * $i * $i * $i ) > $i ).

tff(decl_357,type,
    c_Relation_ODomain: ( $i * $i ) > $i ).

tff(decl_358,type,
    c_Predicate_ODomainP: ( $i * $i * $i * $i ) > $o ).

tff(decl_359,type,
    c_Wellfounded_Oless__than: $i ).

tff(decl_360,type,
    c_Relation_Oinv__image: ( $i * $i ) > $i ).

tff(decl_361,type,
    c_Rings_Odvd__class_Odvd: $i > $i ).

tff(decl_362,type,
    class_Rings_Odvd: $i > $o ).

tff(decl_363,type,
    class_Rings_Ocomm__ring: $i > $o ).

tff(decl_364,type,
    c_FunDef_Orp__inv__image: ( $i * $i ) > $i ).

tff(decl_365,type,
    c_Orderings_Oorder_Ostrict__mono: ( $i * $i * $i * $i ) > $o ).

tff(decl_366,type,
    c_Orderings_Oorder_Omono: ( $i * $i * $i * $i ) > $o ).

tff(decl_367,type,
    c_FunDef_Oreduction__pair: ( $i * $i ) > $o ).

tff(decl_368,type,
    c_Set_OCollect: $i > $i ).

tff(decl_369,type,
    c_Nitpick_Oprod: ( $i * $i * $i * $i ) > $i ).

tff(decl_370,type,
    c_Int_Oint__ge__less__than: $i > $i ).

tff(decl_371,type,
    c_Int_Oint__ge__less__than2: $i > $i ).

tff(decl_372,type,
    c_Predicate_Oreflp: ( $i * $i ) > $o ).

tff(decl_373,type,
    c_HOL_OEx: $i > $i ).

tff(decl_374,type,
    c_Relation_Oconverse: ( $i * $i ) > $i ).

tff(decl_375,type,
    c_SetInterval_Oord_OlessThan: ( $i * $i * $i ) > $i ).

tff(decl_376,type,
    c_SetInterval_Oord_OgreaterThan: ( $i * $i * $i ) > $i ).

tff(decl_377,type,
    c_SetInterval_Oord_OatLeast: ( $i * $i * $i ) > $i ).

tff(decl_378,type,
    c_SetInterval_Oord_OatMost: ( $i * $i * $i ) > $i ).

tff(decl_379,type,
    c_SetInterval_Oord_OgreaterThanAtMost: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_380,type,
    c_SetInterval_Oord_OatLeastAtMost: ( $i * $i * $i * $i ) > $i ).

tff(decl_381,type,
    c_SetInterval_Oord_OgreaterThanLessThan: ( $i * $i * $i * $i ) > $i ).

tff(decl_382,type,
    c_SetInterval_Oord_OatLeastLessThan: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_383,type,
    c_Relation_Orel__comp: ( $i * $i * $i ) > $i ).

tff(decl_384,type,
    c_Finite__Set_Ocard: $i > $i ).

tff(decl_385,type,
    c_Predicate_Opred__comp: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_386,type,
    c_Wellfounded_Owf: ( $i * $i ) > $o ).

tff(decl_387,type,
    c_Wellfounded_OwfP: ( $i * $i ) > $o ).

tff(decl_388,type,
    c_Wellfounded_Opred__nat: $i ).

tff(decl_389,type,
    c_Lattices_Osemilattice__sup__class_Osup: $i > $i ).

tff(decl_390,type,
    c_Wellfounded_Oacyclic: ( $i * $i ) > $o ).

tff(decl_391,type,
    class_Lattices_Osemilattice__sup: $i > $o ).

tff(decl_392,type,
    class_Lattices_Olattice: $i > $o ).

tff(decl_393,type,
    class_Lattices_Obounded__lattice__top: $i > $o ).

tff(decl_394,type,
    c_Hilbert__Choice_OEps: ( $i * $i ) > $i ).

tff(decl_395,type,
    c_Relation_OField: $i > $i ).

tff(decl_396,type,
    c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).

tff(decl_397,type,
    c_Hilbert__Choice_OLeastM: ( $i * $i * $i * $i ) > $i ).

tff(decl_398,type,
    c_Hilbert__Choice_OGreatestM: ( $i * $i * $i ) > $i ).

tff(decl_399,type,
    tc_Com_Opname: $i ).

tff(decl_400,type,
    c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).

tff(decl_401,type,
    c_Hilbert__Choice_OGreatest: $i > $i ).

tff(decl_402,type,
    c_Datatype_OScons: ( $i * $i ) > $i ).

tff(decl_403,type,
    c_Inductive_Ocomplete__lattice__class_Ogfp: ( $i * $i ) > $i ).

tff(decl_404,type,
    class_Complete__Lattice_Ocomplete__lattice: $i > $o ).

tff(decl_405,type,
    c_Datatype_OSplit: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_406,type,
    c_Inductive_Ocomplete__lattice__class_Olfp: ( $i * $i ) > $i ).

tff(decl_407,type,
    c_Relation_OImage: ( $i * $i * $i ) > $i ).

tff(decl_408,type,
    tc_List_Olist: $i > $i ).

tff(decl_409,type,
    c_List_Osublist: ( $i * $i * $i ) > $i ).

tff(decl_410,type,
    c_Predicate_Oconversep: ( $i * $i * $i ) > $i ).

tff(decl_411,type,
    c_List_Olenlex: ( $i * $i ) > $i ).

tff(decl_412,type,
    c_List_Oappend: $i > $i ).

tff(decl_413,type,
    c_Enum_Osublists: ( $i * $i ) > $i ).

tff(decl_414,type,
    c_Enum_Oenum__the: ( $i * $i ) > $i ).

tff(decl_415,type,
    c_List_Olex: ( $i * $i ) > $i ).

tff(decl_416,type,
    c_List_Olexn: ( $i * $i ) > $i ).

tff(decl_417,type,
    c_Enum_On__lists: ( $i * $i * $i ) > $i ).

tff(decl_418,type,
    class_Enum_Oenum: $i > $o ).

tff(decl_419,type,
    c_Enum_Oenum__class_Oenum__ex: $i > $i ).

tff(decl_420,type,
    c_List_Olexord: ( $i * $i ) > $i ).

tff(decl_421,type,
    c_List_Olist_OCons: $i > $i ).

tff(decl_422,type,
    c_List_Orotate1: $i > $i ).

tff(decl_423,type,
    c_Lattices_Osemilattice__inf__class_Oinf: $i > $i ).

tff(decl_424,type,
    c_List_Oset__Cons: ( $i * $i * $i ) > $i ).

tff(decl_425,type,
    c_Random_Opick: ( $i * $i ) > $i ).

tff(decl_426,type,
    class_Lattices_Osemilattice__inf: $i > $o ).

tff(decl_427,type,
    class_Lattices_Odistrib__lattice: $i > $o ).

tff(decl_428,type,
    c_Random_Oselect__weight: ( $i * $i ) > $i ).

tff(decl_429,type,
    c_List_Olist_ONil: $i > $i ).

tff(decl_430,type,
    c_List_Olist_Olist__case: ( $i * $i * $i * $i ) > $i ).

tff(decl_431,type,
    c_List_Olistrel1: ( $i * $i ) > $i ).

tff(decl_432,type,
    c_Lazy__Sequence_Oanamorph: ( $i * $i * $i * $i ) > $i ).

tff(decl_433,type,
    c_Option_Ooption_Ooption__case: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_434,type,
    c_List_Olistrel: ( $i * $i ) > $i ).

tff(decl_435,type,
    c_List_Olist_Olist__size: ( $i * $i * $i ) > $i ).

tff(decl_436,type,
    c_List_Olistrelp: ( $i * $i * $i * $i ) > $o ).

tff(decl_437,type,
    c_List_Olists: ( $i * $i ) > $i ).

tff(decl_438,type,
    c_List_Onth: $i > $i ).

tff(decl_439,type,
    c_Random_Oselect: ( $i * $i ) > $i ).

tff(decl_440,type,
    c_List_Otake: $i > $i ).

tff(decl_441,type,
    c_List_Omap: ( $i * $i ) > $i ).

tff(decl_442,type,
    c_Enum_Oproduct: ( $i * $i * $i * $i ) > $i ).

tff(decl_443,type,
    c_List_Odrop: $i > $i ).

tff(decl_444,type,
    c_List_Omonoid__add__class_Olistsum: $i > $i ).

tff(decl_445,type,
    c_List_Ohd: $i > $i ).

tff(decl_446,type,
    c_List_Olist__update: ( $i * $i ) > $i ).

tff(decl_447,type,
    c_List_Oset: $i > $i ).

tff(decl_448,type,
    c_List_Ozip: ( $i * $i ) > $i ).

tff(decl_449,type,
    c_List_Olist__ex1: ( $i * $i * $i ) > $o ).

tff(decl_450,type,
    c_List_Otl: $i > $i ).

tff(decl_451,type,
    c_List_Orotate: ( $i * $i ) > $i ).

tff(decl_452,type,
    c_List_Olast: ( $i * $i ) > $i ).

tff(decl_453,type,
    c_SetInterval_Oord__class_OgreaterThanLessThan: ( $i * $i * $i ) > $i ).

tff(decl_454,type,
    c_List_Oupto: ( $i * $i ) > $i ).

tff(decl_455,type,
    c_List_Obutlast: ( $i * $i ) > $i ).

tff(decl_456,type,
    c_List_Oupto__rel: $i ).

tff(decl_457,type,
    c_List_Onat__list: $i > $o ).

tff(decl_458,type,
    c_List_Oremove1: ( $i * $i * $i ) > $i ).

tff(decl_459,type,
    c_List_Opartition: ( $i * $i * $i ) > $i ).

tff(decl_460,type,
    c_List_Olistsp: ( $i * $i ) > $i ).

tff(decl_461,type,
    c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_462,type,
    c_Lazy__Sequence_Oproduct: ( $i * $i * $i * $i ) > $i ).

tff(decl_463,type,
    c_SetInterval_Oord__class_OgreaterThanAtMost: ( $i * $i * $i ) > $i ).

tff(decl_464,type,
    c_List_Oinsert: ( $i * $i * $i ) > $i ).

tff(decl_465,type,
    c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).

tff(decl_466,type,
    c_List_Oconcat: ( $i * $i ) > $i ).

tff(decl_467,type,
    c_List_Olistset: ( $i * $i ) > $i ).

tff(decl_468,type,
    c_List_Otranspose: ( $i * $i ) > $i ).

tff(decl_469,type,
    c_List_Otranspose__rel: $i > $i ).

tff(decl_470,type,
    c_List_Ofilter: ( $i * $i ) > $i ).

tff(decl_471,type,
    c_List_Ofoldr: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_472,type,
    c_List_Oupt: ( $i * $i ) > $i ).

tff(decl_473,type,
    c_List_Oreturn__list: $i > $i ).

tff(decl_474,type,
    c_List_Oembed__list: $i > $i ).

tff(decl_475,type,
    c_SetInterval_Oord__class_OatMost: $i > $i ).

tff(decl_476,type,
    c_SetInterval_Oord__class_OgreaterThan: $i > $i ).

tff(decl_477,type,
    c_SetInterval_Oord__class_OlessThan: $i > $i ).

tff(decl_478,type,
    c_Big__Operators_Ocomm__monoid__add__class_Osetsum: ( $i * $i ) > $i ).

tff(decl_479,type,
    c_SetInterval_Oord__class_OatLeast: $i > $i ).

tff(decl_480,type,
    c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i ) > $i ).

tff(decl_481,type,
    c_Finite__Set_Ofinite: $i > $i ).

tff(decl_482,type,
    c_List_Omaps: ( $i * $i * $i * $i ) > $i ).

tff(decl_483,type,
    class_Finite__Set_Ofinite: $i > $o ).

tff(decl_484,type,
    c_Wellfounded_Ofinite__psubset: $i > $i ).

tff(decl_485,type,
    c_Nitpick_Owf_H: ( $i * $i ) > $o ).

tff(decl_486,type,
    c_Nitpick_Ounknown: $i > $o ).

tff(decl_487,type,
    c_Wellfounded_Omin__ext: ( $i * $i ) > $i ).

tff(decl_488,type,
    c_Finite__Set_Ofolding__idem: ( $i * $i * $i * $i ) > $o ).

tff(decl_489,type,
    c_Big__Operators_Ocomm__monoid__mult__class_Osetprod: ( $i * $i ) > $i ).

tff(decl_490,type,
    c_Wellfounded_Omax__ext: ( $i * $i ) > $i ).

tff(decl_491,type,
    c_Wellfounded_Omax__extp: ( $i * $i * $i * $i ) > $o ).

tff(decl_492,type,
    c_Finite__Set_Ofolding: ( $i * $i * $i * $i ) > $o ).

tff(decl_493,type,
    c_Set_Oinsert: $i > $i ).

tff(decl_494,type,
    c_FunDef_Omin__weak: $i ).

tff(decl_495,type,
    c_FunDef_Omax__weak: $i ).

tff(decl_496,type,
    c_FunDef_Omax__strict: $i ).

tff(decl_497,type,
    c_FunDef_Omin__strict: $i ).

tff(decl_498,type,
    c_Orderings_Obot__class_Obot: $i > $i ).

tff(decl_499,type,
    class_Lattices_Obounded__lattice__bot: $i > $o ).

tff(decl_500,type,
    class_Orderings_Obot: $i > $o ).

tff(decl_501,type,
    c_Set_Othe__elem: ( $i * $i ) > $i ).

tff(decl_502,type,
    c_Datatype_OAtom: ( $i * $i ) > $i ).

tff(decl_503,type,
    c_Int_OAbs__Integ: $i ).

tff(decl_504,type,
    c_List_Olinorder__class_Osorted__list__of__set: ( $i * $i ) > $i ).

tff(decl_505,type,
    c_Finite__Set_Ofolding__one: ( $i * $i * $i ) > $o ).

tff(decl_506,type,
    c_Finite__Set_Ofolding__image__simple: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_507,type,
    c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_508,type,
    c_Partial__Function_Oflat__lub: ( $i * $i * $i ) > $i ).

tff(decl_509,type,
    c_Big__Operators_Olattice_OInf__fin: ( $i * $i * $i ) > $i ).

tff(decl_510,type,
    c_Big__Operators_Olattice_OSup__fin: ( $i * $i * $i ) > $i ).

tff(decl_511,type,
    c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).

tff(decl_512,type,
    c_Big__Operators_Olattice__class_OSup__fin: ( $i * $i ) > $i ).

tff(decl_513,type,
    c_Big__Operators_Olattice__class_OInf__fin: ( $i * $i ) > $i ).

tff(decl_514,type,
    class_Groups_Olinordered__ab__semigroup__add: $i > $o ).

tff(decl_515,type,
    c_Big__Operators_Olinorder__class_OMin: ( $i * $i ) > $i ).

tff(decl_516,type,
    c_Big__Operators_Olinorder__class_OMax: ( $i * $i ) > $i ).

tff(decl_517,type,
    c_List_Odistinct: $i > $i ).

tff(decl_518,type,
    c_Nitpick_Osetsum_H: ( $i * $i * $i * $i ) > $i ).

tff(decl_519,type,
    c_Nitpick_Ocard_H: ( $i * $i ) > $i ).

tff(decl_520,type,
    c_List_Olinorder__class_Oinsort__key: ( $i * $i * $i ) > $i ).

tff(decl_521,type,
    c_List_Olinorder__class_Osorted: ( $i * $i ) > $o ).

tff(decl_522,type,
    c_List_Olinorder__class_Oinsort__insert__key: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_523,type,
    c_List_Orev: $i > $i ).

tff(decl_524,type,
    c_List_OtakeWhile: ( $i * $i * $i ) > $i ).

tff(decl_525,type,
    c_List_OdropWhile: ( $i * $i * $i ) > $i ).

tff(decl_526,type,
    c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).

tff(decl_527,type,
    c_Finite__Set_Ofolding__image: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_528,type,
    c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).

tff(decl_529,type,
    c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_530,type,
    c_Datatype_OLim: ( $i * $i * $i ) > $i ).

tff(decl_531,type,
    c_Product__Type_OSigma: ( $i * $i ) > $i ).

tff(decl_532,type,
    c_Set_Ovimage: ( $i * $i * $i ) > $i ).

tff(decl_533,type,
    c_Fun_Othe__inv__into: ( $i * $i * $i * $i ) > $i ).

tff(decl_534,type,
    c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i ) > $i ).

tff(decl_535,type,
    c_Finite__Set_Ofold__image: ( $i * $i * $i ) > $i ).

tff(decl_536,type,
    c_Big__Operators_Ocomm__monoid__big: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_537,type,
    c_Set_OBex: $i > $i ).

tff(decl_538,type,
    c_Int_ORep__Integ: $i ).

tff(decl_539,type,
    c_List_Oremdups: ( $i * $i ) > $i ).

tff(decl_540,type,
    c_List_Olinorder__class_Osort__key: ( $i * $i * $i * $i ) > $i ).

tff(decl_541,type,
    c_Datatype_OLeaf: ( $i * $i ) > $i ).

tff(decl_542,type,
    c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).

tff(decl_543,type,
    c_Partial__Function_Ofun__lub: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_544,type,
    c_List_OremoveAll: ( $i * $i ) > $i ).

tff(decl_545,type,
    c_Finite__Set_Ofolding__one__idem: ( $i * $i * $i ) > $o ).

tff(decl_546,type,
    c_List_Ofoldl: ( $i * $i * $i * $i ) > $i ).

tff(decl_547,type,
    class_Groups_Osemigroup__add: $i > $o ).

tff(decl_548,type,
    c_Finite__Set_Ofold1: ( $i * $i ) > $i ).

tff(decl_549,type,
    c_Complete__Lattice_Ocomplete__lattice__class_OINFI: ( $i * $i ) > $i ).

tff(decl_550,type,
    c_Set_OBall: $i > $i ).

tff(decl_551,type,
    c_Big__Operators_Osemilattice__big: ( $i * $i * $i ) > $o ).

tff(decl_552,type,
    c_Relation_Osingle__valued: ( $i * $i * $i ) > $o ).

tff(decl_553,type,
    c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_554,type,
    c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).

tff(decl_555,type,
    c_List_Omeasures: ( $i * $i ) > $i ).

tff(decl_556,type,
    class_Lattices_Obounded__lattice: $i > $o ).

tff(decl_557,type,
    tc_Com_Ovname: $i ).

tff(decl_558,type,
    t_a: $i ).

tff(decl_559,type,
    v_n: $i ).

tff(decl_560,type,
    v_t: $i ).

tff(decl_561,type,
    epred1_3: ( $i * $i * $i ) > $o ).

tff(decl_562,type,
    epred2_3: ( $i * $i * $i ) > $o ).

tff(decl_563,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_564,type,
    esk2_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_565,type,
    esk3_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_566,type,
    esk4_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_567,type,
    esk5_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_568,type,
    esk6_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_569,type,
    esk7_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_570,type,
    esk8_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_571,type,
    esk9_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_572,type,
    esk10_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_573,type,
    esk11_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_574,type,
    esk12_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_575,type,
    esk13_3: ( $i * $i * $i ) > $i ).

tff(decl_576,type,
    esk14_3: ( $i * $i * $i ) > $i ).

tff(decl_577,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_578,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_579,type,
    esk17_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_580,type,
    esk18_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_581,type,
    esk19_3: ( $i * $i * $i ) > $i ).

tff(decl_582,type,
    esk20_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_583,type,
    esk21_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_584,type,
    esk22_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_585,type,
    esk23_3: ( $i * $i * $i ) > $i ).

tff(decl_586,type,
    esk24_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_587,type,
    esk25_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_588,type,
    esk26_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_589,type,
    esk27_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_590,type,
    esk28_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_591,type,
    esk29_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_592,type,
    esk30_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_593,type,
    esk31_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_594,type,
    esk32_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_595,type,
    esk33_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_596,type,
    esk34_3: ( $i * $i * $i ) > $i ).

tff(decl_597,type,
    esk35_3: ( $i * $i * $i ) > $i ).

tff(decl_598,type,
    esk36_3: ( $i * $i * $i ) > $i ).

tff(decl_599,type,
    esk37_3: ( $i * $i * $i ) > $i ).

tff(decl_600,type,
    esk38_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_601,type,
    esk39_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_602,type,
    esk40_2: ( $i * $i ) > $i ).

tff(decl_603,type,
    esk41_1: $i > $i ).

tff(decl_604,type,
    esk42_2: ( $i * $i ) > $i ).

tff(decl_605,type,
    esk43_2: ( $i * $i ) > $i ).

tff(decl_606,type,
    esk44_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_607,type,
    esk45_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_608,type,
    esk46_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_609,type,
    esk47_3: ( $i * $i * $i ) > $i ).

tff(decl_610,type,
    esk48_3: ( $i * $i * $i ) > $i ).

tff(decl_611,type,
    esk49_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_612,type,
    esk50_3: ( $i * $i * $i ) > $i ).

tff(decl_613,type,
    esk51_3: ( $i * $i * $i ) > $i ).

tff(decl_614,type,
    esk52_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_615,type,
    esk53_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_616,type,
    esk54_3: ( $i * $i * $i ) > $i ).

tff(decl_617,type,
    esk55_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_618,type,
    esk56_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_619,type,
    esk57_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_620,type,
    esk58_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_621,type,
    esk59_1: $i > $i ).

tff(decl_622,type,
    esk60_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_623,type,
    esk61_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_624,type,
    esk62_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_625,type,
    esk63_2: ( $i * $i ) > $i ).

tff(decl_626,type,
    esk64_2: ( $i * $i ) > $i ).

tff(decl_627,type,
    esk65_2: ( $i * $i ) > $i ).

tff(decl_628,type,
    esk66_1: $i > $i ).

tff(decl_629,type,
    esk67_1: $i > $i ).

tff(decl_630,type,
    esk68_1: $i > $i ).

tff(decl_631,type,
    esk69_1: $i > $i ).

tff(decl_632,type,
    esk70_1: $i > $i ).

tff(decl_633,type,
    esk71_1: $i > $i ).

tff(decl_634,type,
    esk72_1: $i > $i ).

tff(decl_635,type,
    esk73_1: $i > $i ).

tff(decl_636,type,
    esk74_2: ( $i * $i ) > $i ).

tff(decl_637,type,
    esk75_1: $i > $i ).

tff(decl_638,type,
    esk76_1: $i > $i ).

tff(decl_639,type,
    esk77_2: ( $i * $i ) > $i ).

tff(decl_640,type,
    esk78_1: $i > $i ).

tff(decl_641,type,
    esk79_3: ( $i * $i * $i ) > $i ).

tff(decl_642,type,
    esk80_3: ( $i * $i * $i ) > $i ).

tff(decl_643,type,
    esk81_3: ( $i * $i * $i ) > $i ).

tff(decl_644,type,
    esk82_3: ( $i * $i * $i ) > $i ).

tff(decl_645,type,
    esk83_2: ( $i * $i ) > $i ).

tff(decl_646,type,
    esk84_3: ( $i * $i * $i ) > $i ).

tff(decl_647,type,
    esk85_3: ( $i * $i * $i ) > $i ).

tff(decl_648,type,
    esk86_3: ( $i * $i * $i ) > $i ).

tff(decl_649,type,
    esk87_3: ( $i * $i * $i ) > $i ).

tff(decl_650,type,
    esk88_3: ( $i * $i * $i ) > $i ).

tff(decl_651,type,
    esk89_3: ( $i * $i * $i ) > $i ).

tff(decl_652,type,
    esk90_3: ( $i * $i * $i ) > $i ).

tff(decl_653,type,
    esk91_3: ( $i * $i * $i ) > $i ).

tff(decl_654,type,
    esk92_3: ( $i * $i * $i ) > $i ).

tff(decl_655,type,
    esk93_2: ( $i * $i ) > $i ).

tff(decl_656,type,
    esk94_3: ( $i * $i * $i ) > $i ).

tff(decl_657,type,
    esk95_3: ( $i * $i * $i ) > $i ).

tff(decl_658,type,
    esk96_3: ( $i * $i * $i ) > $i ).

tff(decl_659,type,
    esk97_3: ( $i * $i * $i ) > $i ).

tff(decl_660,type,
    esk98_3: ( $i * $i * $i ) > $i ).

tff(decl_661,type,
    esk99_3: ( $i * $i * $i ) > $i ).

tff(decl_662,type,
    esk100_3: ( $i * $i * $i ) > $i ).

tff(decl_663,type,
    esk101_3: ( $i * $i * $i ) > $i ).

tff(decl_664,type,
    esk102_3: ( $i * $i * $i ) > $i ).

tff(decl_665,type,
    esk103_3: ( $i * $i * $i ) > $i ).

tff(decl_666,type,
    esk104_3: ( $i * $i * $i ) > $i ).

tff(decl_667,type,
    esk105_3: ( $i * $i * $i ) > $i ).

tff(decl_668,type,
    esk106_3: ( $i * $i * $i ) > $i ).

tff(decl_669,type,
    esk107_3: ( $i * $i * $i ) > $i ).

tff(decl_670,type,
    esk108_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_671,type,
    esk109_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_672,type,
    esk110_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_673,type,
    esk111_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_674,type,
    esk112_3: ( $i * $i * $i ) > $i ).

tff(decl_675,type,
    esk113_3: ( $i * $i * $i ) > $i ).

tff(decl_676,type,
    esk114_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_677,type,
    esk115_3: ( $i * $i * $i ) > $i ).

tff(decl_678,type,
    esk116_3: ( $i * $i * $i ) > $i ).

tff(decl_679,type,
    esk117_3: ( $i * $i * $i ) > $i ).

tff(decl_680,type,
    esk118_3: ( $i * $i * $i ) > $i ).

tff(decl_681,type,
    esk119_3: ( $i * $i * $i ) > $i ).

tff(decl_682,type,
    esk120_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_683,type,
    esk121_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_684,type,
    esk122_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_685,type,
    esk123_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_686,type,
    esk124_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_687,type,
    esk125_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_688,type,
    esk126_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_689,type,
    esk127_3: ( $i * $i * $i ) > $i ).

tff(decl_690,type,
    esk128_3: ( $i * $i * $i ) > $i ).

tff(decl_691,type,
    esk129_3: ( $i * $i * $i ) > $i ).

tff(decl_692,type,
    esk130_3: ( $i * $i * $i ) > $i ).

tff(decl_693,type,
    esk131_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_694,type,
    esk132_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_695,type,
    esk133_2: ( $i * $i ) > $i ).

tff(decl_696,type,
    esk134_3: ( $i * $i * $i ) > $i ).

tff(decl_697,type,
    esk135_3: ( $i * $i * $i ) > $i ).

tff(decl_698,type,
    esk136_3: ( $i * $i * $i ) > $i ).

tff(decl_699,type,
    esk137_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_700,type,
    esk138_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_701,type,
    esk139_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_702,type,
    esk140_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_703,type,
    esk141_3: ( $i * $i * $i ) > $i ).

tff(decl_704,type,
    esk142_2: ( $i * $i ) > $i ).

tff(decl_705,type,
    esk143_2: ( $i * $i ) > $i ).

tff(decl_706,type,
    esk144_1: $i > $i ).

tff(decl_707,type,
    esk145_1: $i > $i ).

tff(decl_708,type,
    esk146_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_709,type,
    esk147_3: ( $i * $i * $i ) > $i ).

tff(decl_710,type,
    esk148_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_711,type,
    esk149_3: ( $i * $i * $i ) > $i ).

tff(decl_712,type,
    esk150_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_713,type,
    esk151_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_714,type,
    esk152_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_715,type,
    esk153_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_716,type,
    esk154_2: ( $i * $i ) > $i ).

tff(decl_717,type,
    esk155_3: ( $i * $i * $i ) > $i ).

tff(decl_718,type,
    esk156_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_719,type,
    esk157_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_720,type,
    esk158_2: ( $i * $i ) > $i ).

tff(decl_721,type,
    esk159_2: ( $i * $i ) > $i ).

tff(decl_722,type,
    esk160_1: $i > $i ).

tff(decl_723,type,
    esk161_2: ( $i * $i ) > $i ).

tff(decl_724,type,
    esk162_1: $i > $i ).

tff(decl_725,type,
    esk163_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_726,type,
    esk164_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_727,type,
    esk165_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_728,type,
    esk166_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_729,type,
    esk167_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_730,type,
    esk168_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_731,type,
    esk169_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_732,type,
    esk170_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_733,type,
    esk171_3: ( $i * $i * $i ) > $i ).

tff(decl_734,type,
    esk172_3: ( $i * $i * $i ) > $i ).

tff(decl_735,type,
    esk173_2: ( $i * $i ) > $i ).

tff(decl_736,type,
    esk174_2: ( $i * $i ) > $i ).

tff(decl_737,type,
    esk175_2: ( $i * $i ) > $i ).

tff(decl_738,type,
    esk176_2: ( $i * $i ) > $i ).

tff(decl_739,type,
    esk177_2: ( $i * $i ) > $i ).

tff(decl_740,type,
    esk178_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_741,type,
    esk179_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_742,type,
    esk180_1: $i > $i ).

tff(decl_743,type,
    esk181_2: ( $i * $i ) > $i ).

tff(decl_744,type,
    esk182_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_745,type,
    esk183_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_746,type,
    esk184_3: ( $i * $i * $i ) > $i ).

tff(decl_747,type,
    esk185_3: ( $i * $i * $i ) > $i ).

tff(decl_748,type,
    esk186_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_749,type,
    esk187_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_750,type,
    esk188_2: ( $i * $i ) > $i ).

tff(decl_751,type,
    esk189_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_752,type,
    esk190_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_753,type,
    esk191_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_754,type,
    esk192_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_755,type,
    esk193_2: ( $i * $i ) > $i ).

tff(decl_756,type,
    esk194_3: ( $i * $i * $i ) > $i ).

tff(decl_757,type,
    esk195_2: ( $i * $i ) > $i ).

tff(decl_758,type,
    esk196_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_759,type,
    esk197_2: ( $i * $i ) > $i ).

tff(decl_760,type,
    esk198_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_761,type,
    esk199_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_762,type,
    esk200_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_763,type,
    esk201_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_764,type,
    esk202_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_765,type,
    esk203_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_766,type,
    esk204_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_767,type,
    esk205_3: ( $i * $i * $i ) > $i ).

tff(decl_768,type,
    esk206_2: ( $i * $i ) > $i ).

tff(decl_769,type,
    esk207_2: ( $i * $i ) > $i ).

tff(decl_770,type,
    esk208_3: ( $i * $i * $i ) > $i ).

tff(decl_771,type,
    esk209_2: ( $i * $i ) > $i ).

tff(decl_772,type,
    esk210_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_773,type,
    esk211_3: ( $i * $i * $i ) > $i ).

tff(decl_774,type,
    esk212_2: ( $i * $i ) > $i ).

tff(decl_775,type,
    esk213_2: ( $i * $i ) > $i ).

tff(decl_776,type,
    esk214_3: ( $i * $i * $i ) > $i ).

tff(decl_777,type,
    esk215_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_778,type,
    esk216_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_779,type,
    esk217_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_780,type,
    esk218_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_781,type,
    esk219_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_782,type,
    esk220_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_783,type,
    esk221_2: ( $i * $i ) > $i ).

tff(decl_784,type,
    esk222_2: ( $i * $i ) > $i ).

tff(decl_785,type,
    esk223_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_786,type,
    esk224_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_787,type,
    esk225_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_788,type,
    esk226_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_789,type,
    esk227_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_790,type,
    esk228_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_791,type,
    esk229_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_792,type,
    esk230_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_793,type,
    esk231_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_794,type,
    esk232_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_795,type,
    esk233_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_796,type,
    esk234_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_797,type,
    esk235_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_798,type,
    esk236_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_799,type,
    esk237_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_800,type,
    esk238_3: ( $i * $i * $i ) > $i ).

tff(decl_801,type,
    esk239_3: ( $i * $i * $i ) > $i ).

tff(decl_802,type,
    esk240_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_803,type,
    esk241_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_804,type,
    esk242_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_805,type,
    esk243_3: ( $i * $i * $i ) > $i ).

tff(decl_806,type,
    esk244_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_807,type,
    esk245_3: ( $i * $i * $i ) > $i ).

tff(decl_808,type,
    esk246_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_809,type,
    esk247_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_810,type,
    esk248_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_811,type,
    esk249_1: $i > $i ).

tff(decl_812,type,
    esk250_3: ( $i * $i * $i ) > $i ).

tff(decl_813,type,
    esk251_3: ( $i * $i * $i ) > $i ).

tff(decl_814,type,
    esk252_3: ( $i * $i * $i ) > $i ).

tff(decl_815,type,
    esk253_3: ( $i * $i * $i ) > $i ).

tff(decl_816,type,
    esk254_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_817,type,
    esk255_3: ( $i * $i * $i ) > $i ).

tff(decl_818,type,
    esk256_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_819,type,
    esk257_3: ( $i * $i * $i ) > $i ).

tff(decl_820,type,
    esk258_3: ( $i * $i * $i ) > $i ).

tff(decl_821,type,
    esk259_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_822,type,
    esk260_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_823,type,
    esk261_3: ( $i * $i * $i ) > $i ).

tff(decl_824,type,
    esk262_3: ( $i * $i * $i ) > $i ).

tff(decl_825,type,
    esk263_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_826,type,
    esk264_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_827,type,
    esk265_3: ( $i * $i * $i ) > $i ).

tff(decl_828,type,
    esk266_3: ( $i * $i * $i ) > $i ).

tff(decl_829,type,
    esk267_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_830,type,
    esk268_3: ( $i * $i * $i ) > $i ).

tff(decl_831,type,
    esk269_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_832,type,
    esk270_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_833,type,
    esk271_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_834,type,
    esk272_2: ( $i * $i ) > $i ).

tff(decl_835,type,
    esk273_2: ( $i * $i ) > $i ).

tff(decl_836,type,
    esk274_2: ( $i * $i ) > $i ).

tff(decl_837,type,
    esk275_2: ( $i * $i ) > $i ).

tff(decl_838,type,
    esk276_2: ( $i * $i ) > $i ).

tff(decl_839,type,
    esk277_2: ( $i * $i ) > $i ).

tff(decl_840,type,
    esk278_3: ( $i * $i * $i ) > $i ).

tff(decl_841,type,
    esk279_3: ( $i * $i * $i ) > $i ).

tff(decl_842,type,
    esk280_3: ( $i * $i * $i ) > $i ).

tff(decl_843,type,
    esk281_3: ( $i * $i * $i ) > $i ).

tff(decl_844,type,
    esk282_2: ( $i * $i ) > $i ).

tff(decl_845,type,
    esk283_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_846,type,
    esk284_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_847,type,
    esk285_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_848,type,
    esk286_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_849,type,
    esk287_3: ( $i * $i * $i ) > $i ).

tff(decl_850,type,
    esk288_3: ( $i * $i * $i ) > $i ).

tff(decl_851,type,
    esk289_3: ( $i * $i * $i ) > $i ).

tff(decl_852,type,
    esk290_3: ( $i * $i * $i ) > $i ).

tff(decl_853,type,
    esk291_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_854,type,
    esk292_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_855,type,
    esk293_3: ( $i * $i * $i ) > $i ).

tff(decl_856,type,
    esk294_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_857,type,
    esk295_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_858,type,
    esk296_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_859,type,
    esk297_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_860,type,
    esk298_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_861,type,
    esk299_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_862,type,
    esk300_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_863,type,
    esk301_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_864,type,
    esk302_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_865,type,
    esk303_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_866,type,
    esk304_2: ( $i * $i ) > $i ).

tff(decl_867,type,
    esk305_2: ( $i * $i ) > $i ).

tff(decl_868,type,
    esk306_2: ( $i * $i ) > $i ).

tff(decl_869,type,
    esk307_2: ( $i * $i ) > $i ).

tff(decl_870,type,
    esk308_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_871,type,
    esk309_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_872,type,
    esk310_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_873,type,
    esk311_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_874,type,
    esk312_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_875,type,
    esk313_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_876,type,
    esk314_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_877,type,
    esk315_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_878,type,
    esk316_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_879,type,
    esk317_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_880,type,
    esk318_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_881,type,
    esk319_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_882,type,
    esk320_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_883,type,
    esk321_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_884,type,
    esk322_3: ( $i * $i * $i ) > $i ).

tff(decl_885,type,
    esk323_3: ( $i * $i * $i ) > $i ).

tff(decl_886,type,
    esk324_2: ( $i * $i ) > $i ).

tff(decl_887,type,
    esk325_2: ( $i * $i ) > $i ).

tff(decl_888,type,
    esk326_2: ( $i * $i ) > $i ).

tff(decl_889,type,
    esk327_2: ( $i * $i ) > $i ).

tff(decl_890,type,
    esk328_1: $i > $i ).

tff(decl_891,type,
    esk329_2: ( $i * $i ) > $i ).

tff(decl_892,type,
    esk330_1: $i > $i ).

tff(decl_893,type,
    esk331_2: ( $i * $i ) > $i ).

tff(decl_894,type,
    esk332_3: ( $i * $i * $i ) > $i ).

tff(decl_895,type,
    esk333_3: ( $i * $i * $i ) > $i ).

tff(decl_896,type,
    esk334_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_897,type,
    esk335_3: ( $i * $i * $i ) > $i ).

tff(decl_898,type,
    esk336_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_899,type,
    esk337_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_900,type,
    esk338_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_901,type,
    esk339_3: ( $i * $i * $i ) > $i ).

tff(decl_902,type,
    esk340_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_903,type,
    esk341_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_904,type,
    esk342_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_905,type,
    esk343_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_906,type,
    esk344_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_907,type,
    esk345_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_908,type,
    esk346_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_909,type,
    esk347_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_910,type,
    esk348_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_911,type,
    esk349_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_912,type,
    esk350_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_913,type,
    esk351_3: ( $i * $i * $i ) > $i ).

tff(decl_914,type,
    esk352_3: ( $i * $i * $i ) > $i ).

tff(decl_915,type,
    esk353_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_916,type,
    esk354_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_917,type,
    esk355_3: ( $i * $i * $i ) > $i ).

tff(decl_918,type,
    esk356_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_919,type,
    esk357_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_920,type,
    esk358_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_921,type,
    esk359_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_922,type,
    esk360_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_923,type,
    esk361_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_924,type,
    esk362_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_925,type,
    esk363_3: ( $i * $i * $i ) > $i ).

tff(decl_926,type,
    esk364_3: ( $i * $i * $i ) > $i ).

tff(decl_927,type,
    esk365_1: $i > $i ).

tff(decl_928,type,
    esk366_1: $i > $i ).

tff(decl_929,type,
    esk367_2: ( $i * $i ) > $i ).

tff(decl_930,type,
    esk368_2: ( $i * $i ) > $i ).

tff(decl_931,type,
    esk369_1: $i > $i ).

tff(decl_932,type,
    esk370_1: $i > $i ).

tff(decl_933,type,
    esk371_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_934,type,
    esk372_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_935,type,
    esk373_2: ( $i * $i ) > $i ).

tff(decl_936,type,
    esk374_2: ( $i * $i ) > $i ).

tff(decl_937,type,
    esk375_2: ( $i * $i ) > $i ).

tff(decl_938,type,
    esk376_2: ( $i * $i ) > $i ).

tff(decl_939,type,
    esk377_3: ( $i * $i * $i ) > $i ).

tff(decl_940,type,
    esk378_3: ( $i * $i * $i ) > $i ).

tff(decl_941,type,
    esk379_3: ( $i * $i * $i ) > $i ).

tff(decl_942,type,
    esk380_2: ( $i * $i ) > $i ).

tff(decl_943,type,
    esk381_2: ( $i * $i ) > $i ).

tff(decl_944,type,
    esk382_2: ( $i * $i ) > $i ).

tff(decl_945,type,
    esk383_2: ( $i * $i ) > $i ).

tff(decl_946,type,
    esk384_2: ( $i * $i ) > $i ).

tff(decl_947,type,
    esk385_2: ( $i * $i ) > $i ).

tff(decl_948,type,
    esk386_2: ( $i * $i ) > $i ).

tff(decl_949,type,
    esk387_2: ( $i * $i ) > $i ).

tff(decl_950,type,
    esk388_2: ( $i * $i ) > $i ).

tff(decl_951,type,
    esk389_2: ( $i * $i ) > $i ).

tff(decl_952,type,
    esk390_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_953,type,
    esk391_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_954,type,
    esk392_3: ( $i * $i * $i ) > $i ).

tff(decl_955,type,
    esk393_3: ( $i * $i * $i ) > $i ).

tff(decl_956,type,
    esk394_3: ( $i * $i * $i ) > $i ).

tff(decl_957,type,
    esk395_3: ( $i * $i * $i ) > $i ).

tff(decl_958,type,
    esk396_2: ( $i * $i ) > $i ).

tff(decl_959,type,
    esk397_2: ( $i * $i ) > $i ).

tff(decl_960,type,
    esk398_2: ( $i * $i ) > $i ).

tff(decl_961,type,
    esk399_2: ( $i * $i ) > $i ).

tff(decl_962,type,
    esk400_3: ( $i * $i * $i ) > $i ).

tff(decl_963,type,
    esk401_3: ( $i * $i * $i ) > $i ).

tff(decl_964,type,
    esk402_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_965,type,
    esk403_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_966,type,
    esk404_3: ( $i * $i * $i ) > $i ).

tff(decl_967,type,
    esk405_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_968,type,
    esk406_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_969,type,
    esk407_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_970,type,
    esk408_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_971,type,
    esk409_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_972,type,
    esk410_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_973,type,
    esk411_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_974,type,
    esk412_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_975,type,
    esk413_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_976,type,
    esk414_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_977,type,
    esk415_3: ( $i * $i * $i ) > $i ).

tff(decl_978,type,
    esk416_3: ( $i * $i * $i ) > $i ).

tff(decl_979,type,
    esk417_3: ( $i * $i * $i ) > $i ).

tff(decl_980,type,
    esk418_3: ( $i * $i * $i ) > $i ).

tff(decl_981,type,
    esk419_3: ( $i * $i * $i ) > $i ).

tff(decl_982,type,
    esk420_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_983,type,
    esk421_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_984,type,
    esk422_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_985,type,
    esk423_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_986,type,
    esk424_2: ( $i * $i ) > $i ).

tff(decl_987,type,
    esk425_3: ( $i * $i * $i ) > $i ).

tff(decl_988,type,
    esk426_3: ( $i * $i * $i ) > $i ).

tff(decl_989,type,
    esk427_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_990,type,
    esk428_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_991,type,
    esk429_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_992,type,
    esk430_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_993,type,
    esk431_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_994,type,
    esk432_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_995,type,
    esk433_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_996,type,
    esk434_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_997,type,
    esk435_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_998,type,
    esk436_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_999,type,
    esk437_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1000,type,
    esk438_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1001,type,
    esk439_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1002,type,
    esk440_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1003,type,
    esk441_11: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1004,type,
    esk442_11: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1005,type,
    esk443_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1006,type,
    esk444_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1007,type,
    esk445_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1008,type,
    esk446_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1009,type,
    esk447_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1010,type,
    esk448_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1011,type,
    esk449_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1012,type,
    esk450_3: ( $i * $i * $i ) > $i ).

tff(decl_1013,type,
    esk451_3: ( $i * $i * $i ) > $i ).

tff(decl_1014,type,
    esk452_3: ( $i * $i * $i ) > $i ).

tff(decl_1015,type,
    esk453_3: ( $i * $i * $i ) > $i ).

tff(decl_1016,type,
    esk454_3: ( $i * $i * $i ) > $i ).

tff(decl_1017,type,
    esk455_3: ( $i * $i * $i ) > $i ).

tff(decl_1018,type,
    esk456_3: ( $i * $i * $i ) > $i ).

tff(decl_1019,type,
    esk457_3: ( $i * $i * $i ) > $i ).

tff(decl_1020,type,
    esk458_3: ( $i * $i * $i ) > $i ).

tff(decl_1021,type,
    esk459_3: ( $i * $i * $i ) > $i ).

tff(decl_1022,type,
    esk460_3: ( $i * $i * $i ) > $i ).

tff(decl_1023,type,
    esk461_3: ( $i * $i * $i ) > $i ).

tff(decl_1024,type,
    esk462_3: ( $i * $i * $i ) > $i ).

tff(decl_1025,type,
    esk463_3: ( $i * $i * $i ) > $i ).

tff(decl_1026,type,
    esk464_3: ( $i * $i * $i ) > $i ).

tff(decl_1027,type,
    esk465_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1028,type,
    esk466_2: ( $i * $i ) > $i ).

tff(decl_1029,type,
    esk467_2: ( $i * $i ) > $i ).

tff(decl_1030,type,
    esk468_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1031,type,
    esk469_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1032,type,
    esk470_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1033,type,
    esk471_3: ( $i * $i * $i ) > $i ).

tff(decl_1034,type,
    esk472_3: ( $i * $i * $i ) > $i ).

tff(decl_1035,type,
    esk473_3: ( $i * $i * $i ) > $i ).

tff(decl_1036,type,
    esk474_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1037,type,
    esk475_3: ( $i * $i * $i ) > $i ).

tff(decl_1038,type,
    esk476_3: ( $i * $i * $i ) > $i ).

tff(decl_1039,type,
    esk477_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1040,type,
    esk478_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1041,type,
    esk479_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1042,type,
    esk480_2: ( $i * $i ) > $i ).

tff(decl_1043,type,
    esk481_2: ( $i * $i ) > $i ).

tff(decl_1044,type,
    esk482_2: ( $i * $i ) > $i ).

tff(decl_1045,type,
    esk483_2: ( $i * $i ) > $i ).

tff(decl_1046,type,
    esk484_2: ( $i * $i ) > $i ).

tff(decl_1047,type,
    esk485_2: ( $i * $i ) > $i ).

tff(decl_1048,type,
    esk486_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1049,type,
    esk487_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1050,type,
    esk488_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1051,type,
    esk489_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1052,type,
    esk490_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1053,type,
    esk491_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1054,type,
    esk492_3: ( $i * $i * $i ) > $i ).

tff(decl_1055,type,
    esk493_3: ( $i * $i * $i ) > $i ).

tff(decl_1056,type,
    esk494_3: ( $i * $i * $i ) > $i ).

tff(decl_1057,type,
    esk495_3: ( $i * $i * $i ) > $i ).

tff(decl_1058,type,
    esk496_3: ( $i * $i * $i ) > $i ).

tff(decl_1059,type,
    esk497_2: ( $i * $i ) > $i ).

tff(decl_1060,type,
    esk498_2: ( $i * $i ) > $i ).

tff(decl_1061,type,
    esk499_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1062,type,
    esk500_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1063,type,
    esk501_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1064,type,
    esk502_3: ( $i * $i * $i ) > $i ).

tff(decl_1065,type,
    esk503_3: ( $i * $i * $i ) > $i ).

tff(decl_1066,type,
    esk504_3: ( $i * $i * $i ) > $i ).

tff(decl_1067,type,
    esk505_3: ( $i * $i * $i ) > $i ).

tff(decl_1068,type,
    esk506_3: ( $i * $i * $i ) > $i ).

tff(decl_1069,type,
    esk507_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1070,type,
    esk508_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1071,type,
    esk509_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1072,type,
    esk510_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1073,type,
    esk511_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1074,type,
    esk512_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1075,type,
    esk513_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1076,type,
    esk514_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1077,type,
    esk515_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1078,type,
    esk516_3: ( $i * $i * $i ) > $i ).

tff(decl_1079,type,
    esk517_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1080,type,
    esk518_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1081,type,
    esk519_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1082,type,
    esk520_3: ( $i * $i * $i ) > $i ).

tff(decl_1083,type,
    esk521_1: $i > $i ).

tff(decl_1084,type,
    esk522_3: ( $i * $i * $i ) > $i ).

tff(decl_1085,type,
    esk523_3: ( $i * $i * $i ) > $i ).

tff(decl_1086,type,
    esk524_3: ( $i * $i * $i ) > $i ).

tff(decl_1087,type,
    esk525_3: ( $i * $i * $i ) > $i ).

tff(decl_1088,type,
    esk526_3: ( $i * $i * $i ) > $i ).

tff(decl_1089,type,
    esk527_3: ( $i * $i * $i ) > $i ).

tff(decl_1090,type,
    esk528_3: ( $i * $i * $i ) > $i ).

tff(decl_1091,type,
    esk529_3: ( $i * $i * $i ) > $i ).

fof(fact_Collect__empty__eq,axiom,
    ! [X23,X6] :
      ( hAPP(c_Set_OCollect(X6),X23) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))
    <=> ! [X3] : ~ hBOOL(hAPP(X23,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__empty__eq) ).

fof(fact_empty__def,axiom,
    ! [X6] : c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X6),hAPP(c_COMBK(tc_HOL_Obool,X6),c_fFalse)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_empty__def) ).

fof(fact_Collect__def,axiom,
    ! [X23,X6] : hAPP(c_Set_OCollect(X6),X23) = X23,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__def) ).

fof(fact_Collect__neg__eq,axiom,
    ! [X23,X6] : hAPP(c_Set_OCollect(X6),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X6),c_fNot),X23)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),hAPP(c_Set_OCollect(X6),X23)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__neg__eq) ).

fof(fact_vimage__Collect__eq,axiom,
    ! [X23,X2,X19,X6] : hAPP(c_Set_Ovimage(X6,X19,X2),hAPP(c_Set_OCollect(X19),X23)) = hAPP(c_Set_OCollect(X6),hAPP(hAPP(c_COMBB(X19,tc_HOL_Obool,X6),X23),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_vimage__Collect__eq) ).

fof(help_c__COMBK__1,axiom,
    ! [X331,X102,X6,X115] : hAPP(hAPP(c_COMBK(X115,X6),X102),X331) = X102,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBK__1) ).

fof(fact_double__complement,axiom,
    ! [X129,X6] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),X129)) = X129,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_double__complement) ).

fof(fact_vimage__id,axiom,
    ! [X129,X6] : hAPP(c_Set_Ovimage(X6,X6,c_Fun_Oid(X6)),X129) = X129,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_vimage__id) ).

fof(fact_UNIV__def,axiom,
    ! [X6] : c_Orderings_Otop__class_Otop(tc_fun(X6,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X6),hAPP(c_COMBK(tc_HOL_Obool,X6),c_fTrue)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_UNIV__def) ).

fof(help_c__fNot__1,axiom,
    ! [X23] :
      ( ~ hBOOL(hAPP(c_fNot,X23))
      | ~ hBOOL(X23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fNot__1) ).

fof(fact_sum__case__KK,axiom,
    ! [X38,X31,X27,X6,X19] : hAPP(c_Sum__Type_Osum_Osum__case(X19,X6,X27,hAPP(c_COMBK(X6,X19),X31),hAPP(c_COMBK(X6,X27),X31)),X38) = X31,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sum__case__KK) ).

fof(fact_Compl__UNIV__eq,axiom,
    ! [X6] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Compl__UNIV__eq) ).

fof(fact_add__eq__self__zero,axiom,
    ! [X8,X56] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X56),X8) = X56
     => X8 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__eq__self__zero) ).

fof(fact_transfer__nat__int__numerals_I1_J,axiom,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_transfer__nat__int__numerals_I1_J) ).

fof(fact_Pls__def,axiom,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Pls__def) ).

fof(fact_Zero__not__Suc,axiom,
    ! [X56] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X56),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Zero__not__Suc) ).

fof(fact_id__def,axiom,
    ! [X127,X115] : hAPP(c_Fun_Oid(X115),X127) = X127,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_id__def) ).

fof(help_c__COMBB__1,axiom,
    ! [X89,X39,X23,X27,X6,X19] : hAPP(hAPP(hAPP(c_COMBB(X19,X6,X27),X23),X39),X89) = hAPP(X23,hAPP(X39,X89)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).

fof(fact_add__Suc__right,axiom,
    ! [X8,X56] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X56),hAPP(c_Nat_OSuc,X8)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X56),X8)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Suc__right) ).

fof(fact_Nat_Oadd__0__right,axiom,
    ! [X56] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X56),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X56,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).

fof(fact_n__not__Suc__n,axiom,
    ! [X8] : X8 != hAPP(c_Nat_OSuc,X8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).

fof(c_0_21,plain,
    ! [X23,X6] :
      ( hAPP(c_Set_OCollect(X6),X23) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))
    <=> ! [X3] : ~ hBOOL(hAPP(X23,X3)) ),
    inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).

fof(c_0_22,plain,
    ! [X13198] : c_Orderings_Obot__class_Obot(tc_fun(X13198,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X13198),hAPP(c_COMBK(tc_HOL_Obool,X13198),c_fFalse)),
    inference(variable_rename,[status(thm)],[fact_empty__def]) ).

fof(c_0_23,plain,
    ! [X7916,X7917] : hAPP(c_Set_OCollect(X7917),X7916) = X7916,
    inference(variable_rename,[status(thm)],[fact_Collect__def]) ).

fof(c_0_24,plain,
    ! [X7918,X7919] : hAPP(c_Set_OCollect(X7919),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X7919),c_fNot),X7918)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7919,tc_HOL_Obool)),hAPP(c_Set_OCollect(X7919),X7918)),
    inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).

fof(c_0_25,plain,
    ! [X15654,X15655,X15656,X15657] : hAPP(c_Set_Ovimage(X15657,X15656,X15655),hAPP(c_Set_OCollect(X15656),X15654)) = hAPP(c_Set_OCollect(X15657),hAPP(hAPP(c_COMBB(X15656,tc_HOL_Obool,X15657),X15654),X15655)),
    inference(variable_rename,[status(thm)],[fact_vimage__Collect__eq]) ).

fof(c_0_26,plain,
    ! [X13199,X13200,X13201,X13202,X13204] :
      ( ( hAPP(c_Set_OCollect(X13200),X13199) != c_Orderings_Obot__class_Obot(tc_fun(X13200,tc_HOL_Obool))
        | ~ hBOOL(hAPP(X13199,X13201)) )
      & ( hBOOL(hAPP(X13202,esk365_1(X13202)))
        | hAPP(c_Set_OCollect(X13204),X13202) = c_Orderings_Obot__class_Obot(tc_fun(X13204,tc_HOL_Obool)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])]) ).

fof(c_0_27,plain,
    ! [X17682,X17683,X17684,X17685] : hAPP(hAPP(c_COMBK(X17685,X17684),X17683),X17682) = X17683,
    inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).

cnf(c_0_28,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse)),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_30,plain,
    ! [X4011,X4012] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4012,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4012,tc_HOL_Obool)),X4011)) = X4011,
    inference(variable_rename,[status(thm)],[fact_double__complement]) ).

cnf(c_0_31,plain,
    hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1),X2)),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_32,plain,
    ! [X15699,X15700] : hAPP(c_Set_Ovimage(X15700,X15700,c_Fun_Oid(X15700)),X15699) = X15699,
    inference(variable_rename,[status(thm)],[fact_vimage__id]) ).

cnf(c_0_33,plain,
    hAPP(c_Set_Ovimage(X1,X2,X3),hAPP(c_Set_OCollect(X2),X4)) = hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3)),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_34,plain,
    ! [X7904] : c_Orderings_Otop__class_Otop(tc_fun(X7904,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X7904),hAPP(c_COMBK(tc_HOL_Obool,X7904),c_fTrue)),
    inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).

fof(c_0_35,plain,
    ! [X23] :
      ( ~ hBOOL(hAPP(c_fNot,X23))
      | ~ hBOOL(X23) ),
    inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).

fof(c_0_36,plain,
    ! [X2084,X2085,X2086,X2087,X2088] : hAPP(c_Sum__Type_Osum_Osum__case(X2088,X2087,X2086,hAPP(c_COMBK(X2087,X2088),X2085),hAPP(c_COMBK(X2087,X2086),X2085)),X2084) = X2085,
    inference(variable_rename,[status(thm)],[fact_sum__case__KK]) ).

cnf(c_0_37,plain,
    ( hBOOL(hAPP(X1,esk365_1(X1)))
    | hAPP(c_Set_OCollect(X2),X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_38,plain,
    hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_39,plain,
    hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_40,plain,
    hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_41,plain,
    hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_29]),c_0_29]) ).

cnf(c_0_42,plain,
    hAPP(c_Set_Ovimage(X1,X1,c_Fun_Oid(X1)),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_43,plain,
    hAPP(c_Set_Ovimage(X1,X2,X3),X4) = hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_29]),c_0_29]) ).

fof(c_0_44,plain,
    ! [X13216] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X13216,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X13216,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X13216,tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[fact_Compl__UNIV__eq]) ).

cnf(c_0_45,plain,
    c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue)),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_46,plain,
    ! [X867,X868] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X868),X867) != X868
      | X867 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])]) ).

cnf(c_0_47,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(split_conjunct,[status(thm)],[fact_transfer__nat__int__numerals_I1_J]) ).

cnf(c_0_48,plain,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).

fof(c_0_49,plain,
    ! [X505] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X505),
    inference(variable_rename,[status(thm)],[fact_Zero__not__Suc]) ).

fof(c_0_50,plain,
    ! [X17708] :
      ( ~ hBOOL(hAPP(c_fNot,X17708))
      | ~ hBOOL(X17708) ),
    inference(variable_rename,[status(thm)],[c_0_35]) ).

cnf(c_0_51,plain,
    hAPP(c_Sum__Type_Osum_Osum__case(X1,X2,X3,hAPP(c_COMBK(X2,X1),X4),hAPP(c_COMBK(X2,X3),X4)),X5) = X4,
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_52,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | hBOOL(hAPP(X1,esk365_1(X1))) ),
    inference(rw,[status(thm)],[c_0_37,c_0_29]) ).

cnf(c_0_53,plain,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

fof(c_0_54,plain,
    ! [X1158,X1159] : hAPP(c_Fun_Oid(X1159),X1158) = X1158,
    inference(variable_rename,[status(thm)],[fact_id__def]) ).

cnf(c_0_55,plain,
    hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41]),c_0_41]) ).

cnf(c_0_56,plain,
    hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_Fun_Oid(X1)) = X2,
    inference(rw,[status(thm)],[c_0_42,c_0_43]) ).

fof(c_0_57,plain,
    ! [X17686,X17687,X17688,X17689,X17690,X17691] : hAPP(hAPP(hAPP(c_COMBB(X17691,X17690,X17689),X17688),X17687),X17686) = hAPP(X17688,hAPP(X17687,X17686)),
    inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).

cnf(c_0_58,plain,
    hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_59,plain,
    hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
    inference(rw,[status(thm)],[c_0_45,c_0_29]) ).

cnf(c_0_60,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_61,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
    inference(rw,[status(thm)],[c_0_47,c_0_48]) ).

fof(c_0_62,plain,
    ! [X877,X878] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X878),hAPP(c_Nat_OSuc,X877)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X878),X877)),
    inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).

cnf(c_0_63,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_64,plain,
    ( ~ hBOOL(hAPP(c_fNot,X1))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_65,plain,
    ( c_fFalse = X1
    | hBOOL(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_51]) ).

cnf(c_0_66,plain,
    hAPP(c_Fun_Oid(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_67,plain,
    c_Fun_Oid(tc_HOL_Obool) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_HOL_Obool),c_fNot),c_fNot),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_68,plain,
    hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_69,plain,
    hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(rw,[status(thm)],[c_0_58,c_0_41]) ).

cnf(c_0_70,plain,
    hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = c_fTrue,
    inference(spm,[status(thm)],[c_0_38,c_0_59]) ).

cnf(c_0_71,plain,
    ( X1 = hAPP(c_Int_Onat,c_Int_OPls)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) != X2 ),
    inference(rw,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_72,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_73,plain,
    hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
    inference(rw,[status(thm)],[c_0_63,c_0_61]) ).

fof(c_0_74,plain,
    ! [X871] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X871),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X871,
    inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).

cnf(c_0_75,plain,
    ( hAPP(c_fNot,X1) = c_fFalse
    | ~ hBOOL(X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_76,plain,
    hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_77,plain,
    hAPP(c_fNot,c_fTrue) = c_fFalse,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_53]),c_0_70]) ).

cnf(c_0_78,plain,
    hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) != X1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).

cnf(c_0_79,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

fof(c_0_80,plain,
    ! [X342] : X342 != hAPP(c_Nat_OSuc,X342),
    inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).

cnf(c_0_81,plain,
    ( hAPP(c_fNot,X1) = c_fFalse
    | c_fFalse = X1 ),
    inference(spm,[status(thm)],[c_0_75,c_0_65]) ).

cnf(c_0_82,plain,
    hAPP(c_fNot,c_fFalse) = c_fTrue,
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_83,plain,
    hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))) != X1,
    inference(spm,[status(thm)],[c_0_78,c_0_72]) ).

cnf(c_0_84,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Int_Onat,c_Int_OPls)) = X1,
    inference(rw,[status(thm)],[c_0_79,c_0_61]) ).

cnf(c_0_85,plain,
    X1 != hAPP(c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_86,plain,
    ( c_fFalse = X1
    | c_fTrue = X1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_81]),c_0_82]) ).

cnf(c_0_87,plain,
    hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_88,plain,
    hAPP(c_Nat_OSuc,c_fTrue) = c_fFalse,
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86])]) ).

cnf(c_0_89,plain,
    hAPP(c_Nat_OSuc,c_fFalse) != c_fTrue,
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_90,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_86]),c_0_85]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW296+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun Aug 27 22:38:26 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.18/0.55  start to proof: theBenchmark
% 11.84/11.98  % Version  : CSE_E---1.5
% 11.84/11.98  % Problem  : theBenchmark.p
% 11.84/11.98  % Proof found
% 11.84/11.98  % SZS status Theorem for theBenchmark.p
% 11.84/11.98  % SZS output start Proof
% See solution above
% 11.84/12.01  % Total time : 11.275000 s
% 11.84/12.01  % SZS output end Proof
% 11.84/12.01  % Total time : 11.433000 s
%------------------------------------------------------------------------------