TSTP Solution File: SWW306+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWW306+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 : n022.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 00:17:02 EDT 2023

% Result   : Theorem 6.86s 6.92s
% Output   : CNFRefutation 6.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      : 1154
% Syntax   : Number of formulae    : 1221 (  72 unt;1133 typ;   0 def)
%            Number of atoms       :  112 (  89 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   54 (  30   ~;  18   |;   2   &)
%                                         (   3 <=>;   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  : 3230 (1080   >;2150   *;   0   +;   0  <<)
%            Number of predicates  :  154 ( 152 usr;   1 prp; 0-6 aty)
%            Number of functors    :  981 ( 981 usr;  53 con; 0-11 aty)
%            Number of variables   :  153 (  17 sgn;  84   !;   0   ?;   0   :)

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

tff(decl_23,type,
    tc_Hoare__Mirabelle_Otriple: $i > $i ).

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

tff(decl_25,type,
    tc_fun: ( $i * $i ) > $i ).

tff(decl_26,type,
    c_Orderings_Obot__class_Obot: $i > $i ).

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

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

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

tff(decl_30,type,
    class_Orderings_Obot: $i > $o ).

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

tff(decl_32,type,
    c_Hoare__Mirabelle_Otriple_Otriple__case: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_34,type,
    hBOOL: $i > $o ).

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

tff(decl_36,type,
    c_Com_Ocom_OSemi: ( $i * $i ) > $i ).

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

tff(decl_38,type,
    c_COMBC: ( $i * $i * $i ) > $i ).

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

tff(decl_40,type,
    tc_Nat_Onat: $i ).

tff(decl_41,type,
    c_COMBS: ( $i * $i * $i ) > $i ).

tff(decl_42,type,
    tc_Com_Ovname: $i ).

tff(decl_43,type,
    c_Natural_Oupdate: $i ).

tff(decl_44,type,
    c_Com_Ocom_OAss: ( $i * $i ) > $i ).

tff(decl_45,type,
    c_fequal: $i ).

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

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

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

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

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

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

tff(decl_52,type,
    class_Orderings_Opreorder: $i > $o ).

tff(decl_53,type,
    class_Orderings_Oord: $i > $o ).

tff(decl_54,type,
    class_Orderings_Olinorder: $i > $o ).

tff(decl_55,type,
    class_Orderings_Oorder: $i > $o ).

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

tff(decl_57,type,
    c_fimplies: $i ).

tff(decl_58,type,
    c_fNot: $i ).

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

tff(decl_60,type,
    c_member: $i > $i ).

tff(decl_61,type,
    c_fdisj: $i ).

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

tff(decl_63,type,
    c_Fun_Ooverride__on: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_64,type,
    c_Groups_Ominus__class_Ominus: $i > $i ).

tff(decl_65,type,
    class_Groups_Ominus: $i > $o ).

tff(decl_66,type,
    c_Partial__Function_Oflat__lub: ( $i * $i * $i ) > $i ).

tff(decl_67,type,
    class_Groups_Oordered__ab__group__add: $i > $o ).

tff(decl_68,type,
    c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_69,type,
    c_Orderings_Oord__class_Oless: $i > $i ).

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

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

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

tff(decl_73,type,
    c_Predicate_OPowp: ( $i * $i ) > $i ).

tff(decl_74,type,
    class_Groups_Oab__group__add: $i > $o ).

tff(decl_75,type,
    c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i ) > $i ).

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

tff(decl_77,type,
    c_Set_OPow: $i > $i ).

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

tff(decl_79,type,
    c_Finite__Set_Ofolding__one: ( $i * $i * $i ) > $o ).

tff(decl_80,type,
    c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).

tff(decl_81,type,
    tc_prod: ( $i * $i ) > $i ).

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

tff(decl_83,type,
    c_Finite__Set_Ofinite: $i > $i ).

tff(decl_84,type,
    class_Groups_Oab__semigroup__mult: $i > $o ).

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

tff(decl_86,type,
    c_Hilbert__Choice_Oinv__into: ( $i * $i * $i * $i ) > $i ).

tff(decl_87,type,
    c_Relation_OImage: ( $i * $i * $i ) > $i ).

tff(decl_88,type,
    c_Orderings_Otop__class_Otop: $i > $i ).

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

tff(decl_90,type,
    class_Orderings_Otop: $i > $o ).

tff(decl_91,type,
    class_Lattices_Olattice: $i > $o ).

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

tff(decl_93,type,
    class_Lattices_Oab__semigroup__idem__mult: $i > $o ).

tff(decl_94,type,
    class_Lattices_Obounded__lattice__top: $i > $o ).

tff(decl_95,type,
    class_Finite__Set_Ofinite: $i > $o ).

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

tff(decl_97,type,
    tc_Option_Ooption: $i > $i ).

tff(decl_98,type,
    class_Lattices_Obounded__lattice__bot: $i > $o ).

tff(decl_99,type,
    c_fTrue: $i ).

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

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

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

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

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

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

tff(decl_106,type,
    class_Complete__Lattice_Ocomplete__lattice: $i > $o ).

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

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

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

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

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

tff(decl_112,type,
    c_SetInterval_Oord_OlessThan: ( $i * $i * $i ) > $i ).

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

tff(decl_114,type,
    c_SetInterval_Oord_OatMost: ( $i * $i * $i ) > $i ).

tff(decl_115,type,
    c_Finite__Set_Ofolding__one__idem: ( $i * $i * $i ) > $o ).

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

tff(decl_117,type,
    c_Finite__Set_Ofold1: ( $i * $i ) > $i ).

tff(decl_118,type,
    c_Groups_Oone__class_Oone: $i > $i ).

tff(decl_119,type,
    c_Nat_OSuc: $i ).

tff(decl_120,type,
    c_Finite__Set_Ofold__image: ( $i * $i * $i ) > $i ).

tff(decl_121,type,
    tc_Product__Type_Ounit: $i ).

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

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

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

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

tff(decl_126,type,
    c_Groups_Ozero__class_Ozero: $i > $i ).

tff(decl_127,type,
    c_Groups_Oplus__class_Oplus: $i > $i ).

tff(decl_128,type,
    class_Rings_Ocomm__semiring__1: $i > $o ).

tff(decl_129,type,
    class_Rings_Omult__zero: $i > $o ).

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

tff(decl_131,type,
    class_Rings_Ono__zero__divisors: $i > $o ).

tff(decl_132,type,
    class_Groups_Oordered__comm__monoid__add: $i > $o ).

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

tff(decl_134,type,
    class_Groups_Omonoid__add: $i > $o ).

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

tff(decl_136,type,
    class_Groups_Ozero: $i > $o ).

tff(decl_137,type,
    class_Groups_Oab__semigroup__add: $i > $o ).

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

tff(decl_139,type,
    class_Groups_Ocancel__ab__semigroup__add: $i > $o ).

tff(decl_140,type,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).

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

tff(decl_142,type,
    class_Rings_Ocomm__semiring: $i > $o ).

tff(decl_143,type,
    class_Rings_Olinordered__ring__strict: $i > $o ).

tff(decl_144,type,
    class_Rings_Ozero__neq__one: $i > $o ).

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

tff(decl_146,type,
    class_Rings_Olinordered__semiring__1: $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

tff(decl_158,type,
    class_Rings_Olinordered__semiring__1__strict: $i > $o ).

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

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

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

tff(decl_162,type,
    c_Hoare__Mirabelle_Otriple_Otriple__size: ( $i * $i * $i ) > $i ).

tff(decl_163,type,
    c_Nat_Osize__class_Osize: $i > $i ).

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

tff(decl_165,type,
    c_Big__Operators_Olattice__class_OSup__fin: ( $i * $i ) > $i ).

tff(decl_166,type,
    c_Int_Oring__1__class_OInts: $i > $i ).

tff(decl_167,type,
    c_Com_Ocom_Ocom__size: $i > $i ).

tff(decl_168,type,
    c_Power_Opower__class_Opower: $i > $i ).

tff(decl_169,type,
    c_Sum__Type_OPlus: ( $i * $i * $i * $i ) > $i ).

tff(decl_170,type,
    tc_Com_Ocom: $i ).

tff(decl_171,type,
    class_Rings_Oring__1: $i > $o ).

tff(decl_172,type,
    class_Int_Oring__char__0: $i > $o ).

tff(decl_173,type,
    tc_Int_Oint: $i ).

tff(decl_174,type,
    class_Rings_Oring__1__no__zero__divisors: $i > $o ).

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

tff(decl_176,type,
    class_Rings_Osemiring__0: $i > $o ).

tff(decl_177,type,
    c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).

tff(decl_178,type,
    c_Big__Operators_Ocomm__monoid__mult__class_Osetprod: ( $i * $i ) > $i ).

tff(decl_179,type,
    c_If: $i > $i ).

tff(decl_180,type,
    c_Lattices_Osemilattice__inf__class_Oinf: $i > $i ).

tff(decl_181,type,
    c_Nat_Onat_Onat__case: ( $i * $i * $i * $i ) > $i ).

tff(decl_182,type,
    class_Lattices_Osemilattice__inf: $i > $o ).

tff(decl_183,type,
    class_Lattices_Odistrib__lattice: $i > $o ).

tff(decl_184,type,
    c_Big__Operators_Olattice__class_OInf__fin: ( $i * $i ) > $i ).

tff(decl_185,type,
    c_HOL_OEx: $i > $i ).

tff(decl_186,type,
    class_Groups_Olinordered__ab__semigroup__add: $i > $o ).

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

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

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

tff(decl_190,type,
    c_Divides_Odiv__class_Odiv: $i > $i ).

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

tff(decl_192,type,
    c_Rings_Oinverse__class_Odivide: $i > $i ).

tff(decl_193,type,
    class_Rings_Odivision__ring: $i > $o ).

tff(decl_194,type,
    class_Rings_Odivision__ring__inverse__zero: $i > $o ).

tff(decl_195,type,
    class_Fields_Ofield__inverse__zero: $i > $o ).

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

tff(decl_197,type,
    class_Fields_Olinordered__field__inverse__zero: $i > $o ).

tff(decl_198,type,
    class_Fields_Olinordered__field: $i > $o ).

tff(decl_199,type,
    c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).

tff(decl_200,type,
    class_Divides_Oring__div: $i > $o ).

tff(decl_201,type,
    c_Orderings_Oord__class_Omin: $i > $i ).

tff(decl_202,type,
    c_Orderings_Oord__class_Omax: $i > $i ).

tff(decl_203,type,
    c_Orderings_Oord_Omin: ( $i * $i ) > $i ).

tff(decl_204,type,
    c_Orderings_Oord_Omax: ( $i * $i ) > $i ).

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

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

tff(decl_207,type,
    c_Big__Operators_Ocomm__monoid__add__class_Osetsum: ( $i * $i ) > $i ).

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

tff(decl_209,type,
    c_Nat_Osemiring__1__class_Oof__nat: $i > $i ).

tff(decl_210,type,
    class_Nat_Osemiring__char__0: $i > $o ).

tff(decl_211,type,
    class_Rings_Osemiring__1: $i > $o ).

tff(decl_212,type,
    c_Nat_Osemiring__1__class_Oof__nat__aux: ( $i * $i * $i * $i ) > $i ).

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

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

tff(decl_215,type,
    c_SetInterval_Oord__class_OgreaterThan: $i > $i ).

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

tff(decl_217,type,
    c_SetInterval_Oord__class_OatMost: $i > $i ).

tff(decl_218,type,
    c_SetInterval_Oord__class_OgreaterThanAtMost: ( $i * $i * $i ) > $i ).

tff(decl_219,type,
    c_Int_Onat: $i ).

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

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

tff(decl_222,type,
    c_Nat__Transfer_Onat__set: $i > $o ).

tff(decl_223,type,
    c_Nat__Transfer_Ois__nat: $i > $o ).

tff(decl_224,type,
    c_SetInterval_Oord__class_OatLeast: $i > $i ).

tff(decl_225,type,
    c_Groups_Oabs__class_Oabs: $i > $i ).

tff(decl_226,type,
    class_Groups_Oordered__ab__group__add__abs: $i > $o ).

tff(decl_227,type,
    class_Rings_Oordered__ring__abs: $i > $o ).

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

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

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

tff(decl_231,type,
    c_Nat__Numeral_Oneg: $i ).

tff(decl_232,type,
    c_HOL_OLet: ( $i * $i ) > $i ).

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

tff(decl_234,type,
    class_Lattices_Oboolean__algebra: $i > $o ).

tff(decl_235,type,
    class_Rings_Oidom: $i > $o ).

tff(decl_236,type,
    class_Groups_Ouminus: $i > $o ).

tff(decl_237,type,
    class_Rings_Ocomm__ring__1: $i > $o ).

tff(decl_238,type,
    class_Groups_Oabs__if: $i > $o ).

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

tff(decl_240,type,
    c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).

tff(decl_241,type,
    class_Groups_Osgn__if: $i > $o ).

tff(decl_242,type,
    c_SMT_Oz3div: ( $i * $i ) > $i ).

tff(decl_243,type,
    c_SMT_Oz3mod: ( $i * $i ) > $i ).

tff(decl_244,type,
    c_Int_Oring__1__class_Oof__int: $i > $i ).

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

tff(decl_246,type,
    c_Hoare__Mirabelle_Opeek__and: ( $i * $i * $i ) > $i ).

tff(decl_247,type,
    c_Com_Ocom_OWhile: ( $i * $i ) > $i ).

tff(decl_248,type,
    c_Int_Onumber__class_Onumber__of: $i > $i ).

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

tff(decl_250,type,
    class_Int_Onumber: $i > $o ).

tff(decl_251,type,
    c_Int_OBit1: $i > $i ).

tff(decl_252,type,
    c_Int_Osucc: $i > $i ).

tff(decl_253,type,
    c_Int_OPls: $i ).

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

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

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

tff(decl_257,type,
    c_Int_OBit0: $i > $i ).

tff(decl_258,type,
    tc_Code__Numeral_Ocode__numeral: $i ).

tff(decl_259,type,
    c_Code__Numeral_Oint__of: $i ).

tff(decl_260,type,
    c_Product__Type_Oprod_Oprod__case: ( $i * $i * $i ) > $i ).

tff(decl_261,type,
    c_Divides_Odivmod__int: ( $i * $i ) > $i ).

tff(decl_262,type,
    c_Int_OMin: $i ).

tff(decl_263,type,
    c_Nitpick_OFrac: $i ).

tff(decl_264,type,
    c_Int_Oint__ge__less__than2: $i > $i ).

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

tff(decl_266,type,
    c_Nitpick_Oprod: ( $i * $i * $i * $i ) > $i ).

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

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

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

tff(decl_270,type,
    c_Code__Numeral_Ocode__numeral_Ocode__numeral__size: $i > $i ).

tff(decl_271,type,
    c_Nat_Osemiring__1__class_ONats: $i > $i ).

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

tff(decl_273,type,
    c_Divides_Oadjust: $i > $i ).

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

tff(decl_275,type,
    c_Code__Numeral_Odiv__mod__code__numeral: ( $i * $i ) > $i ).

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

tff(decl_277,type,
    c_Nitpick_Orefl_H: ( $i * $i ) > $o ).

tff(decl_278,type,
    c_Divides_OposDivAlg: ( $i * $i ) > $i ).

tff(decl_279,type,
    c_Divides_OnegateSnd: $i ).

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

tff(decl_281,type,
    c_Product__Type_Oapsnd: ( $i * $i * $i * $i ) > $i ).

tff(decl_282,type,
    c_Divides_Opdivmod: ( $i * $i ) > $i ).

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

tff(decl_284,type,
    c_Divides_OnegDivAlg__rel: $i ).

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

tff(decl_286,type,
    c_Divides_OposDivAlg__rel: $i ).

tff(decl_287,type,
    c_Nitpick_Onorm__frac__rel: $i ).

tff(decl_288,type,
    c_Product__Type_Osnd: ( $i * $i ) > $i ).

tff(decl_289,type,
    c_Nitpick_Onat__gcd__rel: $i ).

tff(decl_290,type,
    c_Nat_Onat_Onat__size: $i > $i ).

tff(decl_291,type,
    c_Wellfounded_Omeasure: $i > $i ).

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

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

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

tff(decl_295,type,
    c_Int_ORep__Integ: $i ).

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

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

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

tff(decl_299,type,
    c_Equiv__Relations_Ocongruent2: ( $i * $i * $i * $i * $i * $i ) > $o ).

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

tff(decl_301,type,
    c_Wellfounded_Ofinite__psubset: $i > $i ).

tff(decl_302,type,
    c_Wellfounded_Omlex__prod: ( $i * $i * $i ) > $i ).

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

tff(decl_304,type,
    c_Product__Type_Oprod_Oprod__rec: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_305,type,
    c_Wellfounded_Olex__prod: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_307,type,
    c_Product__Type_Oapfst: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_309,type,
    c_FunDef_Opair__less: $i ).

tff(decl_310,type,
    c_FunDef_Opair__leq: $i ).

tff(decl_311,type,
    c_FunDef_Omax__strict: $i ).

tff(decl_312,type,
    c_FunDef_Omin__strict: $i ).

tff(decl_313,type,
    c_FunDef_Omin__weak: $i ).

tff(decl_314,type,
    c_FunDef_Omax__weak: $i ).

tff(decl_315,type,
    c_Relation_OField: $i > $i ).

tff(decl_316,type,
    c_Wellfounded_Omin__ext: ( $i * $i ) > $i ).

tff(decl_317,type,
    c_Wellfounded_Omax__ext: ( $i * $i ) > $i ).

tff(decl_318,type,
    c_Relation_OId__on: ( $i * $i ) > $i ).

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

tff(decl_320,type,
    c_FunDef_Oreduction__pair: ( $i * $i ) > $o ).

tff(decl_321,type,
    c_Int_Ointrel: $i ).

tff(decl_322,type,
    c_Wellfounded_Oless__than: $i ).

tff(decl_323,type,
    c_Int_OAbs__Integ: $i ).

tff(decl_324,type,
    c_Int_OInteg: $i ).

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

tff(decl_326,type,
    c_Code__Numeral_Ocode__numeral_Ocode__numeral__case: ( $i * $i * $i * $i ) > $i ).

tff(decl_327,type,
    c_Wellfounded_Oacc: ( $i * $i ) > $i ).

tff(decl_328,type,
    c_Relation_Orel__comp: ( $i * $i * $i ) > $i ).

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

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

tff(decl_331,type,
    c_Nitpick_Ozero__frac: $i > $i ).

tff(decl_332,type,
    c_Nitpick_OAbs__Frac: ( $i * $i ) > $i ).

tff(decl_333,type,
    class_Orderings_Owellorder: $i > $o ).

tff(decl_334,type,
    c_Nitpick_Oone__frac: $i > $i ).

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

tff(decl_336,type,
    c_Nitpick_Ofrac: $i > $i ).

tff(decl_337,type,
    c_Wellfounded_Opred__nat: $i ).

tff(decl_338,type,
    tc_List_Olist: $i > $i ).

tff(decl_339,type,
    c_List_Olenlex: ( $i * $i ) > $i ).

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

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

tff(decl_342,type,
    c_Relation_ORange: ( $i * $i ) > $i ).

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

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

tff(decl_345,type,
    c_Fun_Oid: $i > $i ).

tff(decl_346,type,
    c_Predicate_ORangeP: ( $i * $i * $i ) > $i ).

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

tff(decl_348,type,
    c_Relation_ODomain: ( $i * $i ) > $i ).

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

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

tff(decl_351,type,
    c_Nitpick_Ounknown: $i > $o ).

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

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

tff(decl_354,type,
    c_Predicate_Oreflp: ( $i * $i ) > $o ).

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

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

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

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

tff(decl_359,type,
    c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).

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

tff(decl_361,type,
    c_Random_Ominus__shift: ( $i * $i * $i ) > $i ).

tff(decl_362,type,
    c_Random_Oinc__shift: ( $i * $i ) > $i ).

tff(decl_363,type,
    c_Random_Orange: $i > $i ).

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

tff(decl_365,type,
    c_Relation_OId: $i > $i ).

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

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

tff(decl_368,type,
    c_Nat_Ocompow: ( $i * $i ) > $i ).

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

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

tff(decl_371,type,
    c_Finite__Set_Ofold: ( $i * $i * $i ) > $i ).

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

tff(decl_373,type,
    c_Complete__Lattice_Ocomplete__lattice__class_OINFI: ( $i * $i ) > $i ).

tff(decl_374,type,
    c_HOL_OAll: $i > $i ).

tff(decl_375,type,
    c_Set_OBall: $i > $i ).

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

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

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

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

tff(decl_380,type,
    c_Nitpick_Odenom: $i > $i ).

tff(decl_381,type,
    c_Nitpick_Onum: $i > $i ).

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

tff(decl_383,type,
    class_Rings_Oinverse: $i > $o ).

tff(decl_384,type,
    c_Nitpick_Oof__frac: ( $i * $i * $i ) > $i ).

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

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

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

tff(decl_388,type,
    c_Nitpick_Oless__eq__frac: ( $i * $i * $i ) > $o ).

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

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

tff(decl_391,type,
    c_HOL_Obool_Obool__size: $i > $i ).

tff(decl_392,type,
    c_List_Osublist: ( $i * $i * $i ) > $i ).

tff(decl_393,type,
    c_List_Olist_OCons: $i > $i ).

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

tff(decl_395,type,
    c_Random_Opick: ( $i * $i ) > $i ).

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

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

tff(decl_398,type,
    c_List_Olistrel1: ( $i * $i ) > $i ).

tff(decl_399,type,
    c_List_Olist_Olist__size: ( $i * $i * $i ) > $i ).

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

tff(decl_401,type,
    c_List_Olistrelp: ( $i * $i * $i * $i ) > $o ).

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

tff(decl_403,type,
    c_List_Onth: $i > $i ).

tff(decl_404,type,
    c_List_Otake: $i > $i ).

tff(decl_405,type,
    c_List_Oset: $i > $i ).

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

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

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

tff(decl_409,type,
    c_List_Onat__list: $i > $o ).

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

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

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

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

tff(decl_414,type,
    c_List_Oremove1: ( $i * $i * $i ) > $i ).

tff(decl_415,type,
    c_List_Olist_ONil: $i > $i ).

tff(decl_416,type,
    c_List_Oupto__rel: $i ).

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

tff(decl_418,type,
    c_List_Olistset: ( $i * $i ) > $i ).

tff(decl_419,type,
    c_List_Olist_Olist__case: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_421,type,
    c_Lazy__Sequence_Oanamorph: ( $i * $i * $i ) > $i ).

tff(decl_422,type,
    c_Option_Ooption_Ooption__case: ( $i * $i * $i * $i * $i ) > $i ).

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

tff(decl_424,type,
    c_List_Orotate1: $i > $i ).

tff(decl_425,type,
    c_List_Odrop: $i > $i ).

tff(decl_426,type,
    c_List_Ohd: $i > $i ).

tff(decl_427,type,
    c_List_Otl: $i > $i ).

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

tff(decl_429,type,
    c_List_Ofoldl: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_431,type,
    class_Groups_Osemigroup__add: $i > $o ).

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

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

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

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

tff(decl_436,type,
    c_Code__Numeral_Oof__nat: $i ).

tff(decl_437,type,
    c_Code__Numeral_Onat__of: $i ).

tff(decl_438,type,
    c_Code__Numeral_Osubtract__code__numeral: $i ).

tff(decl_439,type,
    c_New__DSequence_Opos__not__seq: $i > $i ).

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

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

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

tff(decl_443,type,
    c_Enum_Oproduct: ( $i * $i * $i * $i ) > $i ).

tff(decl_444,type,
    c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_445,type,
    c_Enum_Osublists: ( $i * $i ) > $i ).

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

tff(decl_447,type,
    c_Enum_Oenum__the: ( $i * $i ) > $i ).

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

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

tff(decl_450,type,
    c_List_Oconcat: ( $i * $i ) > $i ).

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

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

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

tff(decl_454,type,
    c_List_Otranspose__rel: $i > $i ).

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

tff(decl_456,type,
    c_List_Oupt: ( $i * $i ) > $i ).

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

tff(decl_458,type,
    c_List_Orev: $i > $i ).

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

tff(decl_460,type,
    c_List_Oreturn__list: $i > $i ).

tff(decl_461,type,
    c_List_Oembed__list: $i > $i ).

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

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

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

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

tff(decl_466,type,
    class_Enum_Oenum: $i > $o ).

tff(decl_467,type,
    c_Enum_Oenum__class_Oenum__ex: $i > $i ).

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

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

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

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

tff(decl_472,type,
    c_List_Olist__ex1: ( $i * $i * $i ) > $o ).

tff(decl_473,type,
    c_FunDef_Ois__measure: ( $i * $i ) > $o ).

tff(decl_474,type,
    class_Nat_Osize: $i > $o ).

tff(decl_475,type,
    c_New__DSequence_Opos__decr__bind: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_477,type,
    c_Lazy__Sequence_Obind: ( $i * $i * $i ) > $i ).

tff(decl_478,type,
    tc_Lazy__Sequence_Olazy__sequence: $i > $i ).

tff(decl_479,type,
    c_New__Random__Sequence_Opos__decr__bind: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_480,type,
    c_New__DSequence_Opos__empty: $i > $i ).

tff(decl_481,type,
    c_New__Random__Sequence_Opos__empty: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_483,type,
    c_New__Random__Sequence_Opos__bind: ( $i * $i * $i * $i ) > $i ).

tff(decl_484,type,
    c_New__DSequence_Oneg__decr__bind: ( $i * $i * $i * $i ) > $i ).

tff(decl_485,type,
    c_Lazy__Sequence_Ohit__bound: $i > $i ).

tff(decl_486,type,
    c_Lazy__Sequence_Ohb__bind: ( $i * $i * $i * $i ) > $i ).

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

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

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

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

tff(decl_491,type,
    c_New__Random__Sequence_Opos__single: $i > $i ).

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

tff(decl_493,type,
    c_New__Random__Sequence_Oneg__map: ( $i * $i * $i * $i ) > $i ).

tff(decl_494,type,
    c_New__Random__Sequence_Oneg__single: $i > $i ).

tff(decl_495,type,
    c_Lazy__Sequence_Osingle: $i > $i ).

tff(decl_496,type,
    c_New__DSequence_Oneg__single: ( $i * $i ) > $i ).

tff(decl_497,type,
    c_Lazy__Sequence_Ohb__single: ( $i * $i ) > $i ).

tff(decl_498,type,
    c_Lazy__Sequence_Oproduct: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_500,type,
    c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy: ( $i * $i ) > $i ).

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

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

tff(decl_503,type,
    c_New__DSequence_Opos__union: ( $i * $i * $i ) > $i ).

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

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

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

tff(decl_507,type,
    c_Lazy__Sequence_Osmall__lazy_H__rel: $i ).

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

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

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

tff(decl_511,type,
    c_Lazy__Sequence_Oyield: $i > $i ).

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

tff(decl_513,type,
    c_Lazy__Sequence_Oyieldn: $i > $i ).

tff(decl_514,type,
    c_List_Omember: $i > $i ).

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

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

tff(decl_517,type,
    tc_Nitpick_Opair__box: ( $i * $i ) > $i ).

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

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

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

tff(decl_521,type,
    c_Lazy__Sequence_Olazy__sequence_OEmpty: $i > $i ).

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

tff(decl_523,type,
    c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_525,type,
    c_DSequence_Oempty: $i > $i ).

tff(decl_526,type,
    tc_Code__Evaluation_Oterm: $i ).

tff(decl_527,type,
    c_DSequence_Ounion: $i > $i ).

tff(decl_528,type,
    c_DSequence_Osingle: $i > $i ).

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

tff(decl_530,type,
    c_Random__Sequence_Osingle: $i > $i ).

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

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

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

tff(decl_534,type,
    c_Set_OBex: $i > $i ).

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

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

tff(decl_537,type,
    c_Relation_Oantisym: ( $i * $i ) > $o ).

tff(decl_538,type,
    c_Partial__Function_Ofun__lub: ( $i * $i * $i * $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

tff(decl_546,type,
    c_Com_Ovname_OLoc: $i > $i ).

tff(decl_547,type,
    c_Natural_Ogetlocs: ( $i * $i ) > $i ).

tff(decl_548,type,
    c_Com_Ovname_Ovname__size: $i > $i ).

tff(decl_549,type,
    c_Com_Ovname_OGlb: $i > $i ).

tff(decl_550,type,
    c_Com_Ovname_Ovname__rec: ( $i * $i * $i * $i ) > $i ).

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

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

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

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

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

tff(decl_556,type,
    c_New__DSequence_Opos__map: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_557,type,
    c_Rings_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).

tff(decl_558,type,
    class_Rings_Ocomm__ring: $i > $o ).

tff(decl_559,type,
    class_Rings_Odvd: $i > $o ).

tff(decl_560,type,
    class_Lattices_Obounded__lattice: $i > $o ).

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

tff(decl_562,type,
    t_a: $i ).

tff(decl_563,type,
    v_G: $i ).

tff(decl_564,type,
    v_c: $i ).

tff(decl_565,type,
    v_Q: $i > $i ).

tff(decl_566,type,
    epred1_3: ( $i * $i * $i ) > $o ).

tff(decl_567,type,
    epred2_3: ( $i * $i * $i ) > $o ).

tff(decl_568,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_569,type,
    esk2_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_570,type,
    esk3_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_571,type,
    esk4_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_572,type,
    esk5_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_573,type,
    esk6_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_574,type,
    esk7_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_575,type,
    esk8_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_576,type,
    esk9_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_577,type,
    esk10_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_578,type,
    esk11_1: $i > $i ).

tff(decl_579,type,
    esk12_1: $i > $i ).

tff(decl_580,type,
    esk13_2: ( $i * $i ) > $i ).

tff(decl_581,type,
    esk14_2: ( $i * $i ) > $i ).

tff(decl_582,type,
    esk15_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_583,type,
    esk16_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_584,type,
    esk17_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_585,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_586,type,
    esk19_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_587,type,
    esk20_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_588,type,
    esk21_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_589,type,
    esk22_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_590,type,
    esk23_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_591,type,
    esk24_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_592,type,
    esk25_3: ( $i * $i * $i ) > $i ).

tff(decl_593,type,
    esk26_2: ( $i * $i ) > $i ).

tff(decl_594,type,
    esk27_2: ( $i * $i ) > $i ).

tff(decl_595,type,
    esk28_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_596,type,
    esk29_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_597,type,
    esk30_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_598,type,
    esk31_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_599,type,
    esk32_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_600,type,
    esk33_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_601,type,
    esk34_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_602,type,
    esk35_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_603,type,
    esk36_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_604,type,
    esk37_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_605,type,
    esk38_3: ( $i * $i * $i ) > $i ).

tff(decl_606,type,
    esk39_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_607,type,
    esk40_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_608,type,
    esk41_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_609,type,
    esk42_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_610,type,
    esk43_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_611,type,
    esk44_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_612,type,
    esk45_3: ( $i * $i * $i ) > $i ).

tff(decl_613,type,
    esk46_3: ( $i * $i * $i ) > $i ).

tff(decl_614,type,
    esk47_1: $i > $i ).

tff(decl_615,type,
    esk48_2: ( $i * $i ) > $i ).

tff(decl_616,type,
    esk49_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_617,type,
    esk50_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_618,type,
    esk51_1: $i > $i ).

tff(decl_619,type,
    esk52_2: ( $i * $i ) > $i ).

tff(decl_620,type,
    esk53_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_621,type,
    esk54_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_622,type,
    esk55_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_623,type,
    esk56_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_624,type,
    esk57_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_625,type,
    esk58_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_626,type,
    esk59_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_627,type,
    esk60_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_628,type,
    esk61_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_629,type,
    esk62_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_630,type,
    esk63_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_631,type,
    esk64_2: ( $i * $i ) > $i ).

tff(decl_632,type,
    esk65_2: ( $i * $i ) > $i ).

tff(decl_633,type,
    esk66_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_634,type,
    esk67_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_635,type,
    esk68_2: ( $i * $i ) > $i ).

tff(decl_636,type,
    esk69_2: ( $i * $i ) > $i ).

tff(decl_637,type,
    esk70_3: ( $i * $i * $i ) > $i ).

tff(decl_638,type,
    esk71_3: ( $i * $i * $i ) > $i ).

tff(decl_639,type,
    esk72_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_640,type,
    esk73_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_641,type,
    esk74_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_642,type,
    esk75_3: ( $i * $i * $i ) > $i ).

tff(decl_643,type,
    esk76_3: ( $i * $i * $i ) > $i ).

tff(decl_644,type,
    esk77_2: ( $i * $i ) > $i ).

tff(decl_645,type,
    esk78_2: ( $i * $i ) > $i ).

tff(decl_646,type,
    esk79_2: ( $i * $i ) > $i ).

tff(decl_647,type,
    esk80_1: $i > $i ).

tff(decl_648,type,
    esk81_3: ( $i * $i * $i ) > $i ).

tff(decl_649,type,
    esk82_3: ( $i * $i * $i ) > $i ).

tff(decl_650,type,
    esk83_2: ( $i * $i ) > $i ).

tff(decl_651,type,
    esk84_2: ( $i * $i ) > $i ).

tff(decl_652,type,
    esk85_3: ( $i * $i * $i ) > $i ).

tff(decl_653,type,
    esk86_3: ( $i * $i * $i ) > $i ).

tff(decl_654,type,
    esk87_2: ( $i * $i ) > $i ).

tff(decl_655,type,
    esk88_3: ( $i * $i * $i ) > $i ).

tff(decl_656,type,
    esk89_3: ( $i * $i * $i ) > $i ).

tff(decl_657,type,
    esk90_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_658,type,
    esk91_3: ( $i * $i * $i ) > $i ).

tff(decl_659,type,
    esk92_3: ( $i * $i * $i ) > $i ).

tff(decl_660,type,
    esk93_3: ( $i * $i * $i ) > $i ).

tff(decl_661,type,
    esk94_3: ( $i * $i * $i ) > $i ).

tff(decl_662,type,
    esk95_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_663,type,
    esk96_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_664,type,
    esk97_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_665,type,
    esk98_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_666,type,
    esk99_2: ( $i * $i ) > $i ).

tff(decl_667,type,
    esk100_2: ( $i * $i ) > $i ).

tff(decl_668,type,
    esk101_3: ( $i * $i * $i ) > $i ).

tff(decl_669,type,
    esk102_3: ( $i * $i * $i ) > $i ).

tff(decl_670,type,
    esk103_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_671,type,
    esk104_3: ( $i * $i * $i ) > $i ).

tff(decl_672,type,
    esk105_3: ( $i * $i * $i ) > $i ).

tff(decl_673,type,
    esk106_3: ( $i * $i * $i ) > $i ).

tff(decl_674,type,
    esk107_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_675,type,
    esk108_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_676,type,
    esk109_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_677,type,
    esk110_3: ( $i * $i * $i ) > $i ).

tff(decl_678,type,
    esk111_3: ( $i * $i * $i ) > $i ).

tff(decl_679,type,
    esk112_3: ( $i * $i * $i ) > $i ).

tff(decl_680,type,
    esk113_3: ( $i * $i * $i ) > $i ).

tff(decl_681,type,
    esk114_3: ( $i * $i * $i ) > $i ).

tff(decl_682,type,
    esk115_2: ( $i * $i ) > $i ).

tff(decl_683,type,
    esk116_3: ( $i * $i * $i ) > $i ).

tff(decl_684,type,
    esk117_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_685,type,
    esk118_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_686,type,
    esk119_2: ( $i * $i ) > $i ).

tff(decl_687,type,
    esk120_2: ( $i * $i ) > $i ).

tff(decl_688,type,
    esk121_3: ( $i * $i * $i ) > $i ).

tff(decl_689,type,
    esk122_3: ( $i * $i * $i ) > $i ).

tff(decl_690,type,
    esk123_3: ( $i * $i * $i ) > $i ).

tff(decl_691,type,
    esk124_3: ( $i * $i * $i ) > $i ).

tff(decl_692,type,
    esk125_3: ( $i * $i * $i ) > $i ).

tff(decl_693,type,
    esk126_3: ( $i * $i * $i ) > $i ).

tff(decl_694,type,
    esk127_2: ( $i * $i ) > $i ).

tff(decl_695,type,
    esk128_2: ( $i * $i ) > $i ).

tff(decl_696,type,
    esk129_2: ( $i * $i ) > $i ).

tff(decl_697,type,
    esk130_2: ( $i * $i ) > $i ).

tff(decl_698,type,
    esk131_2: ( $i * $i ) > $i ).

tff(decl_699,type,
    esk132_2: ( $i * $i ) > $i ).

tff(decl_700,type,
    esk133_2: ( $i * $i ) > $i ).

tff(decl_701,type,
    esk134_2: ( $i * $i ) > $i ).

tff(decl_702,type,
    esk135_3: ( $i * $i * $i ) > $i ).

tff(decl_703,type,
    esk136_3: ( $i * $i * $i ) > $i ).

tff(decl_704,type,
    esk137_3: ( $i * $i * $i ) > $i ).

tff(decl_705,type,
    esk138_3: ( $i * $i * $i ) > $i ).

tff(decl_706,type,
    esk139_3: ( $i * $i * $i ) > $i ).

tff(decl_707,type,
    esk140_3: ( $i * $i * $i ) > $i ).

tff(decl_708,type,
    esk141_3: ( $i * $i * $i ) > $i ).

tff(decl_709,type,
    esk142_3: ( $i * $i * $i ) > $i ).

tff(decl_710,type,
    esk143_3: ( $i * $i * $i ) > $i ).

tff(decl_711,type,
    esk144_3: ( $i * $i * $i ) > $i ).

tff(decl_712,type,
    esk145_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_713,type,
    esk146_3: ( $i * $i * $i ) > $i ).

tff(decl_714,type,
    esk147_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_715,type,
    esk148_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_716,type,
    esk149_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_717,type,
    esk150_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_718,type,
    esk151_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_719,type,
    esk152_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_720,type,
    esk153_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_721,type,
    esk154_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_722,type,
    esk155_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_723,type,
    esk156_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_724,type,
    esk157_1: $i > $i ).

tff(decl_725,type,
    esk158_1: $i > $i ).

tff(decl_726,type,
    esk159_1: $i > $i ).

tff(decl_727,type,
    esk160_1: $i > $i ).

tff(decl_728,type,
    esk161_2: ( $i * $i ) > $i ).

tff(decl_729,type,
    esk162_2: ( $i * $i ) > $i ).

tff(decl_730,type,
    esk163_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_731,type,
    esk164_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_732,type,
    esk165_2: ( $i * $i ) > $i ).

tff(decl_733,type,
    esk166_2: ( $i * $i ) > $i ).

tff(decl_734,type,
    esk167_2: ( $i * $i ) > $i ).

tff(decl_735,type,
    esk168_2: ( $i * $i ) > $i ).

tff(decl_736,type,
    esk169_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_737,type,
    esk170_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_738,type,
    esk171_3: ( $i * $i * $i ) > $i ).

tff(decl_739,type,
    esk172_3: ( $i * $i * $i ) > $i ).

tff(decl_740,type,
    esk173_2: ( $i * $i ) > $i ).

tff(decl_741,type,
    esk174_2: ( $i * $i ) > $i ).

tff(decl_742,type,
    esk175_2: ( $i * $i ) > $i ).

tff(decl_743,type,
    esk176_2: ( $i * $i ) > $i ).

tff(decl_744,type,
    esk177_1: $i > $i ).

tff(decl_745,type,
    esk178_1: $i > $i ).

tff(decl_746,type,
    esk179_1: $i > $i ).

tff(decl_747,type,
    esk180_1: $i > $i ).

tff(decl_748,type,
    esk181_2: ( $i * $i ) > $i ).

tff(decl_749,type,
    esk182_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_750,type,
    esk183_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_751,type,
    esk184_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_752,type,
    esk185_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_753,type,
    esk186_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_754,type,
    esk187_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_755,type,
    esk188_3: ( $i * $i * $i ) > $i ).

tff(decl_756,type,
    esk189_3: ( $i * $i * $i ) > $i ).

tff(decl_757,type,
    esk190_3: ( $i * $i * $i ) > $i ).

tff(decl_758,type,
    esk191_3: ( $i * $i * $i ) > $i ).

tff(decl_759,type,
    esk192_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_760,type,
    esk193_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_761,type,
    esk194_1: $i > $i ).

tff(decl_762,type,
    esk195_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_763,type,
    esk196_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_764,type,
    esk197_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_765,type,
    esk198_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_766,type,
    esk199_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_767,type,
    esk200_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_768,type,
    esk201_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_769,type,
    esk202_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_770,type,
    esk203_3: ( $i * $i * $i ) > $i ).

tff(decl_771,type,
    esk204_3: ( $i * $i * $i ) > $i ).

tff(decl_772,type,
    esk205_2: ( $i * $i ) > $i ).

tff(decl_773,type,
    esk206_2: ( $i * $i ) > $i ).

tff(decl_774,type,
    esk207_2: ( $i * $i ) > $i ).

tff(decl_775,type,
    esk208_2: ( $i * $i ) > $i ).

tff(decl_776,type,
    esk209_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_777,type,
    esk210_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_778,type,
    esk211_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_779,type,
    esk212_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_780,type,
    esk213_3: ( $i * $i * $i ) > $i ).

tff(decl_781,type,
    esk214_3: ( $i * $i * $i ) > $i ).

tff(decl_782,type,
    esk215_1: $i > $i ).

tff(decl_783,type,
    esk216_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_784,type,
    esk217_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_785,type,
    esk218_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_786,type,
    esk219_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_787,type,
    esk220_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_788,type,
    esk221_3: ( $i * $i * $i ) > $i ).

tff(decl_789,type,
    esk222_3: ( $i * $i * $i ) > $i ).

tff(decl_790,type,
    esk223_3: ( $i * $i * $i ) > $i ).

tff(decl_791,type,
    esk224_3: ( $i * $i * $i ) > $i ).

tff(decl_792,type,
    esk225_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_793,type,
    esk226_3: ( $i * $i * $i ) > $i ).

tff(decl_794,type,
    esk227_1: $i > $i ).

tff(decl_795,type,
    esk228_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_796,type,
    esk229_2: ( $i * $i ) > $i ).

tff(decl_797,type,
    esk230_3: ( $i * $i * $i ) > $i ).

tff(decl_798,type,
    esk231_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_799,type,
    esk232_3: ( $i * $i * $i ) > $i ).

tff(decl_800,type,
    esk233_3: ( $i * $i * $i ) > $i ).

tff(decl_801,type,
    esk234_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_802,type,
    esk235_3: ( $i * $i * $i ) > $i ).

tff(decl_803,type,
    esk236_3: ( $i * $i * $i ) > $i ).

tff(decl_804,type,
    esk237_3: ( $i * $i * $i ) > $i ).

tff(decl_805,type,
    esk238_2: ( $i * $i ) > $i ).

tff(decl_806,type,
    esk239_3: ( $i * $i * $i ) > $i ).

tff(decl_807,type,
    esk240_3: ( $i * $i * $i ) > $i ).

tff(decl_808,type,
    esk241_3: ( $i * $i * $i ) > $i ).

tff(decl_809,type,
    esk242_3: ( $i * $i * $i ) > $i ).

tff(decl_810,type,
    esk243_3: ( $i * $i * $i ) > $i ).

tff(decl_811,type,
    esk244_3: ( $i * $i * $i ) > $i ).

tff(decl_812,type,
    esk245_2: ( $i * $i ) > $i ).

tff(decl_813,type,
    esk246_3: ( $i * $i * $i ) > $i ).

tff(decl_814,type,
    esk247_3: ( $i * $i * $i ) > $i ).

tff(decl_815,type,
    esk248_3: ( $i * $i * $i ) > $i ).

tff(decl_816,type,
    esk249_3: ( $i * $i * $i ) > $i ).

tff(decl_817,type,
    esk250_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_818,type,
    esk251_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_819,type,
    esk252_11: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_820,type,
    esk253_11: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_821,type,
    esk254_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_822,type,
    esk255_1: $i > $i ).

tff(decl_823,type,
    esk256_1: $i > $i ).

tff(decl_824,type,
    esk257_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_825,type,
    esk258_1: $i > $i ).

tff(decl_826,type,
    esk259_1: $i > $i ).

tff(decl_827,type,
    esk260_3: ( $i * $i * $i ) > $i ).

tff(decl_828,type,
    esk261_3: ( $i * $i * $i ) > $i ).

tff(decl_829,type,
    esk262_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_830,type,
    esk263_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_831,type,
    esk264_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_832,type,
    esk265_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_833,type,
    esk266_2: ( $i * $i ) > $i ).

tff(decl_834,type,
    esk267_3: ( $i * $i * $i ) > $i ).

tff(decl_835,type,
    esk268_2: ( $i * $i ) > $i ).

tff(decl_836,type,
    esk269_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_837,type,
    esk270_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_838,type,
    esk271_2: ( $i * $i ) > $i ).

tff(decl_839,type,
    esk272_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_840,type,
    esk273_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_841,type,
    esk274_2: ( $i * $i ) > $i ).

tff(decl_842,type,
    esk275_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_843,type,
    esk276_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_844,type,
    esk277_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_845,type,
    esk278_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_846,type,
    esk279_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_847,type,
    esk280_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_848,type,
    esk281_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_849,type,
    esk282_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_850,type,
    esk283_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_851,type,
    esk284_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_852,type,
    esk285_2: ( $i * $i ) > $i ).

tff(decl_853,type,
    esk286_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_854,type,
    esk287_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_855,type,
    esk288_3: ( $i * $i * $i ) > $i ).

tff(decl_856,type,
    esk289_2: ( $i * $i ) > $i ).

tff(decl_857,type,
    esk290_3: ( $i * $i * $i ) > $i ).

tff(decl_858,type,
    esk291_1: $i > $i ).

tff(decl_859,type,
    esk292_3: ( $i * $i * $i ) > $i ).

tff(decl_860,type,
    esk293_3: ( $i * $i * $i ) > $i ).

tff(decl_861,type,
    esk294_1: $i > $i ).

tff(decl_862,type,
    esk295_2: ( $i * $i ) > $i ).

tff(decl_863,type,
    esk296_3: ( $i * $i * $i ) > $i ).

tff(decl_864,type,
    esk297_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_865,type,
    esk298_3: ( $i * $i * $i ) > $i ).

tff(decl_866,type,
    esk299_3: ( $i * $i * $i ) > $i ).

tff(decl_867,type,
    esk300_3: ( $i * $i * $i ) > $i ).

tff(decl_868,type,
    esk301_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_869,type,
    esk302_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_870,type,
    esk303_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_871,type,
    esk304_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_872,type,
    esk305_2: ( $i * $i ) > $i ).

tff(decl_873,type,
    esk306_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_874,type,
    esk307_2: ( $i * $i ) > $i ).

tff(decl_875,type,
    esk308_3: ( $i * $i * $i ) > $i ).

tff(decl_876,type,
    esk309_3: ( $i * $i * $i ) > $i ).

tff(decl_877,type,
    esk310_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_878,type,
    esk311_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_879,type,
    esk312_3: ( $i * $i * $i ) > $i ).

tff(decl_880,type,
    esk313_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_881,type,
    esk314_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_882,type,
    esk315_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_883,type,
    esk316_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_884,type,
    esk317_2: ( $i * $i ) > $i ).

tff(decl_885,type,
    esk318_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_886,type,
    esk319_3: ( $i * $i * $i ) > $i ).

tff(decl_887,type,
    esk320_3: ( $i * $i * $i ) > $i ).

tff(decl_888,type,
    esk321_2: ( $i * $i ) > $i ).

tff(decl_889,type,
    esk322_3: ( $i * $i * $i ) > $i ).

tff(decl_890,type,
    esk323_3: ( $i * $i * $i ) > $i ).

tff(decl_891,type,
    esk324_3: ( $i * $i * $i ) > $i ).

tff(decl_892,type,
    esk325_3: ( $i * $i * $i ) > $i ).

tff(decl_893,type,
    esk326_3: ( $i * $i * $i ) > $i ).

tff(decl_894,type,
    esk327_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_895,type,
    esk328_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_896,type,
    esk329_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_897,type,
    esk330_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_898,type,
    esk331_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_899,type,
    esk332_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_900,type,
    esk333_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_901,type,
    esk334_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_902,type,
    esk335_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_903,type,
    esk336_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_904,type,
    esk337_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_905,type,
    esk338_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_906,type,
    esk339_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_907,type,
    esk340_2: ( $i * $i ) > $i ).

tff(decl_908,type,
    esk341_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_909,type,
    esk342_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_910,type,
    esk343_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_911,type,
    esk344_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_912,type,
    esk345_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_913,type,
    esk346_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_914,type,
    esk347_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_915,type,
    esk348_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_916,type,
    esk349_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_917,type,
    esk350_3: ( $i * $i * $i ) > $i ).

tff(decl_918,type,
    esk351_3: ( $i * $i * $i ) > $i ).

tff(decl_919,type,
    esk352_3: ( $i * $i * $i ) > $i ).

tff(decl_920,type,
    esk353_3: ( $i * $i * $i ) > $i ).

tff(decl_921,type,
    esk354_3: ( $i * $i * $i ) > $i ).

tff(decl_922,type,
    esk355_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_923,type,
    esk356_3: ( $i * $i * $i ) > $i ).

tff(decl_924,type,
    esk357_3: ( $i * $i * $i ) > $i ).

tff(decl_925,type,
    esk358_3: ( $i * $i * $i ) > $i ).

tff(decl_926,type,
    esk359_2: ( $i * $i ) > $i ).

tff(decl_927,type,
    esk360_3: ( $i * $i * $i ) > $i ).

tff(decl_928,type,
    esk361_3: ( $i * $i * $i ) > $i ).

tff(decl_929,type,
    esk362_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_930,type,
    esk363_3: ( $i * $i * $i ) > $i ).

tff(decl_931,type,
    esk364_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_932,type,
    esk365_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_933,type,
    esk366_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_934,type,
    esk367_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_935,type,
    esk368_3: ( $i * $i * $i ) > $i ).

tff(decl_936,type,
    esk369_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_937,type,
    esk370_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_938,type,
    esk371_3: ( $i * $i * $i ) > $i ).

tff(decl_939,type,
    esk372_2: ( $i * $i ) > $i ).

tff(decl_940,type,
    esk373_2: ( $i * $i ) > $i ).

tff(decl_941,type,
    esk374_3: ( $i * $i * $i ) > $i ).

tff(decl_942,type,
    esk375_2: ( $i * $i ) > $i ).

tff(decl_943,type,
    esk376_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_944,type,
    esk377_3: ( $i * $i * $i ) > $i ).

tff(decl_945,type,
    esk378_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_946,type,
    esk379_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_947,type,
    esk380_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_948,type,
    esk381_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_949,type,
    esk382_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_950,type,
    esk383_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_951,type,
    esk384_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_952,type,
    esk385_2: ( $i * $i ) > $i ).

tff(decl_953,type,
    esk386_3: ( $i * $i * $i ) > $i ).

tff(decl_954,type,
    esk387_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_955,type,
    esk388_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_956,type,
    esk389_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_957,type,
    esk390_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_958,type,
    esk391_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_959,type,
    esk392_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_960,type,
    esk393_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_961,type,
    esk394_3: ( $i * $i * $i ) > $i ).

tff(decl_962,type,
    esk395_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_963,type,
    esk396_3: ( $i * $i * $i ) > $i ).

tff(decl_964,type,
    esk397_3: ( $i * $i * $i ) > $i ).

tff(decl_965,type,
    esk398_3: ( $i * $i * $i ) > $i ).

tff(decl_966,type,
    esk399_3: ( $i * $i * $i ) > $i ).

tff(decl_967,type,
    esk400_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_968,type,
    esk401_3: ( $i * $i * $i ) > $i ).

tff(decl_969,type,
    esk402_1: $i > $i ).

tff(decl_970,type,
    esk403_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_971,type,
    esk404_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_972,type,
    esk405_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_973,type,
    esk406_2: ( $i * $i ) > $i ).

tff(decl_974,type,
    esk407_2: ( $i * $i ) > $i ).

tff(decl_975,type,
    esk408_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_976,type,
    esk409_3: ( $i * $i * $i ) > $i ).

tff(decl_977,type,
    esk410_3: ( $i * $i * $i ) > $i ).

tff(decl_978,type,
    esk411_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_979,type,
    esk412_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_980,type,
    esk413_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_981,type,
    esk414_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_982,type,
    esk415_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_983,type,
    esk416_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_984,type,
    esk417_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_985,type,
    esk418_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_986,type,
    esk419_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_987,type,
    esk420_2: ( $i * $i ) > $i ).

tff(decl_988,type,
    esk421_3: ( $i * $i * $i ) > $i ).

tff(decl_989,type,
    esk422_3: ( $i * $i * $i ) > $i ).

tff(decl_990,type,
    esk423_3: ( $i * $i * $i ) > $i ).

tff(decl_991,type,
    esk424_3: ( $i * $i * $i ) > $i ).

tff(decl_992,type,
    esk425_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_993,type,
    esk426_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_994,type,
    esk427_3: ( $i * $i * $i ) > $i ).

tff(decl_995,type,
    esk428_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_996,type,
    esk429_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_997,type,
    esk430_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_998,type,
    esk431_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_999,type,
    esk432_2: ( $i * $i ) > $i ).

tff(decl_1000,type,
    esk433_2: ( $i * $i ) > $i ).

tff(decl_1001,type,
    esk434_3: ( $i * $i * $i ) > $i ).

tff(decl_1002,type,
    esk435_3: ( $i * $i * $i ) > $i ).

tff(decl_1003,type,
    esk436_3: ( $i * $i * $i ) > $i ).

tff(decl_1004,type,
    esk437_3: ( $i * $i * $i ) > $i ).

tff(decl_1005,type,
    esk438_2: ( $i * $i ) > $i ).

tff(decl_1006,type,
    esk439_3: ( $i * $i * $i ) > $i ).

tff(decl_1007,type,
    esk440_3: ( $i * $i * $i ) > $i ).

tff(decl_1008,type,
    esk441_3: ( $i * $i * $i ) > $i ).

tff(decl_1009,type,
    esk442_3: ( $i * $i * $i ) > $i ).

tff(decl_1010,type,
    esk443_3: ( $i * $i * $i ) > $i ).

tff(decl_1011,type,
    esk444_2: ( $i * $i ) > $i ).

tff(decl_1012,type,
    esk445_2: ( $i * $i ) > $i ).

tff(decl_1013,type,
    esk446_3: ( $i * $i * $i ) > $i ).

tff(decl_1014,type,
    esk447_3: ( $i * $i * $i ) > $i ).

tff(decl_1015,type,
    esk448_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1016,type,
    esk449_2: ( $i * $i ) > $i ).

tff(decl_1017,type,
    esk450_2: ( $i * $i ) > $i ).

tff(decl_1018,type,
    esk451_3: ( $i * $i * $i ) > $i ).

tff(decl_1019,type,
    esk452_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1020,type,
    esk453_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1021,type,
    esk454_2: ( $i * $i ) > $i ).

tff(decl_1022,type,
    esk455_2: ( $i * $i ) > $i ).

tff(decl_1023,type,
    esk456_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1024,type,
    esk457_2: ( $i * $i ) > $i ).

tff(decl_1025,type,
    esk458_2: ( $i * $i ) > $i ).

tff(decl_1026,type,
    esk459_2: ( $i * $i ) > $i ).

tff(decl_1027,type,
    esk460_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1028,type,
    esk461_2: ( $i * $i ) > $i ).

tff(decl_1029,type,
    esk462_2: ( $i * $i ) > $i ).

tff(decl_1030,type,
    esk463_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1031,type,
    esk464_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1032,type,
    esk465_2: ( $i * $i ) > $i ).

tff(decl_1033,type,
    esk466_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1034,type,
    esk467_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1035,type,
    esk468_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1036,type,
    esk469_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1037,type,
    esk470_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1038,type,
    esk471_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1039,type,
    esk472_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1040,type,
    esk473_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1041,type,
    esk474_2: ( $i * $i ) > $i ).

tff(decl_1042,type,
    esk475_2: ( $i * $i ) > $i ).

tff(decl_1043,type,
    esk476_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1044,type,
    esk477_3: ( $i * $i * $i ) > $i ).

tff(decl_1045,type,
    esk478_3: ( $i * $i * $i ) > $i ).

tff(decl_1046,type,
    esk479_3: ( $i * $i * $i ) > $i ).

tff(decl_1047,type,
    esk480_3: ( $i * $i * $i ) > $i ).

tff(decl_1048,type,
    esk481_3: ( $i * $i * $i ) > $i ).

tff(decl_1049,type,
    esk482_3: ( $i * $i * $i ) > $i ).

tff(decl_1050,type,
    esk483_3: ( $i * $i * $i ) > $i ).

tff(decl_1051,type,
    esk484_3: ( $i * $i * $i ) > $i ).

tff(decl_1052,type,
    esk485_3: ( $i * $i * $i ) > $i ).

tff(decl_1053,type,
    esk486_3: ( $i * $i * $i ) > $i ).

tff(decl_1054,type,
    esk487_3: ( $i * $i * $i ) > $i ).

tff(decl_1055,type,
    esk488_3: ( $i * $i * $i ) > $i ).

tff(decl_1056,type,
    esk489_3: ( $i * $i * $i ) > $i ).

tff(decl_1057,type,
    esk490_3: ( $i * $i * $i ) > $i ).

tff(decl_1058,type,
    esk491_3: ( $i * $i * $i ) > $i ).

tff(decl_1059,type,
    esk492_3: ( $i * $i * $i ) > $i ).

tff(decl_1060,type,
    esk493_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1061,type,
    esk494_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1062,type,
    esk495_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1063,type,
    esk496_3: ( $i * $i * $i ) > $i ).

tff(decl_1064,type,
    esk497_3: ( $i * $i * $i ) > $i ).

tff(decl_1065,type,
    esk498_3: ( $i * $i * $i ) > $i ).

tff(decl_1066,type,
    esk499_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1067,type,
    esk500_3: ( $i * $i * $i ) > $i ).

tff(decl_1068,type,
    esk501_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1069,type,
    esk502_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1070,type,
    esk503_3: ( $i * $i * $i ) > $i ).

tff(decl_1071,type,
    esk504_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1072,type,
    esk505_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1073,type,
    esk506_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1074,type,
    esk507_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1075,type,
    esk508_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1076,type,
    esk509_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1077,type,
    esk510_2: ( $i * $i ) > $i ).

tff(decl_1078,type,
    esk511_3: ( $i * $i * $i ) > $i ).

tff(decl_1079,type,
    esk512_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1080,type,
    esk513_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1081,type,
    esk514_2: ( $i * $i ) > $i ).

tff(decl_1082,type,
    esk515_2: ( $i * $i ) > $i ).

tff(decl_1083,type,
    esk516_2: ( $i * $i ) > $i ).

tff(decl_1084,type,
    esk517_1: $i > $i ).

tff(decl_1085,type,
    esk518_2: ( $i * $i ) > $i ).

tff(decl_1086,type,
    esk519_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1087,type,
    esk520_3: ( $i * $i * $i ) > $i ).

tff(decl_1088,type,
    esk521_3: ( $i * $i * $i ) > $i ).

tff(decl_1089,type,
    esk522_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1090,type,
    esk523_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1091,type,
    esk524_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1092,type,
    esk525_2: ( $i * $i ) > $i ).

tff(decl_1093,type,
    esk526_2: ( $i * $i ) > $i ).

tff(decl_1094,type,
    esk527_2: ( $i * $i ) > $i ).

tff(decl_1095,type,
    esk528_2: ( $i * $i ) > $i ).

tff(decl_1096,type,
    esk529_2: ( $i * $i ) > $i ).

tff(decl_1097,type,
    esk530_1: $i > $i ).

tff(decl_1098,type,
    esk531_1: $i > $i ).

tff(decl_1099,type,
    esk532_1: $i > $i ).

tff(decl_1100,type,
    esk533_2: ( $i * $i ) > $i ).

tff(decl_1101,type,
    esk534_2: ( $i * $i ) > $i ).

tff(decl_1102,type,
    esk535_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1103,type,
    esk536_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1104,type,
    esk537_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1105,type,
    esk538_2: ( $i * $i ) > $i ).

tff(decl_1106,type,
    esk539_1: $i > $i ).

tff(decl_1107,type,
    esk540_2: ( $i * $i ) > $i ).

tff(decl_1108,type,
    esk541_1: $i > $i ).

tff(decl_1109,type,
    esk542_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1110,type,
    esk543_2: ( $i * $i ) > $i ).

tff(decl_1111,type,
    esk544_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1112,type,
    esk545_2: ( $i * $i ) > $i ).

tff(decl_1113,type,
    esk546_2: ( $i * $i ) > $i ).

tff(decl_1114,type,
    esk547_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1115,type,
    esk548_3: ( $i * $i * $i ) > $i ).

tff(decl_1116,type,
    esk549_3: ( $i * $i * $i ) > $i ).

tff(decl_1117,type,
    esk550_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1118,type,
    esk551_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1119,type,
    esk552_3: ( $i * $i * $i ) > $i ).

tff(decl_1120,type,
    esk553_3: ( $i * $i * $i ) > $i ).

tff(decl_1121,type,
    esk554_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1122,type,
    esk555_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1123,type,
    esk556_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1124,type,
    esk557_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1125,type,
    esk558_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1126,type,
    esk559_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1127,type,
    esk560_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1128,type,
    esk561_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1129,type,
    esk562_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1130,type,
    esk563_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1131,type,
    esk564_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1132,type,
    esk565_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1133,type,
    esk566_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1134,type,
    esk567_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1135,type,
    esk568_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1136,type,
    esk569_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1137,type,
    esk570_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1138,type,
    esk571_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1139,type,
    esk572_3: ( $i * $i * $i ) > $i ).

tff(decl_1140,type,
    esk573_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1141,type,
    esk574_3: ( $i * $i * $i ) > $i ).

tff(decl_1142,type,
    esk575_3: ( $i * $i * $i ) > $i ).

tff(decl_1143,type,
    esk576_3: ( $i * $i * $i ) > $i ).

tff(decl_1144,type,
    esk577_0: $i ).

tff(decl_1145,type,
    esk578_0: $i ).

tff(decl_1146,type,
    esk579_2: ( $i * $i ) > $i ).

tff(decl_1147,type,
    esk580_3: ( $i * $i * $i ) > $i ).

tff(decl_1148,type,
    esk581_3: ( $i * $i * $i ) > $i ).

tff(decl_1149,type,
    esk582_3: ( $i * $i * $i ) > $i ).

tff(decl_1150,type,
    esk583_3: ( $i * $i * $i ) > $i ).

tff(decl_1151,type,
    esk584_3: ( $i * $i * $i ) > $i ).

tff(decl_1152,type,
    esk585_3: ( $i * $i * $i ) > $i ).

tff(decl_1153,type,
    esk586_3: ( $i * $i * $i ) > $i ).

tff(decl_1154,type,
    esk587_3: ( $i * $i * $i ) > $i ).

fof(fact_Collect__empty__eq,axiom,
    ! [X23,X5] :
      ( hAPP(c_Set_OCollect(X5),X23) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
    <=> ! [X3] : ~ hBOOL(hAPP(X23,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__empty__eq) ).

fof(fact_empty__def,axiom,
    ! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X5),hAPP(c_COMBK(tc_HOL_Obool,X5),c_fFalse)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_empty__def) ).

fof(fact_Collect__def,axiom,
    ! [X23,X5] : hAPP(c_Set_OCollect(X5),X23) = X23,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__def) ).

fof(fact_Collect__neg__eq,axiom,
    ! [X23,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X23)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X23)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__neg__eq) ).

fof(fact_vimage__Collect__eq,axiom,
    ! [X23,X2,X17,X5] : hAPP(c_Set_Ovimage(X5,X17,X2),hAPP(c_Set_OCollect(X17),X23)) = hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(X17,tc_HOL_Obool,X5),X23),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_vimage__Collect__eq) ).

fof(help_c__COMBK__1,axiom,
    ! [X311,X310,X5,X39] : hAPP(hAPP(c_COMBK(X39,X5),X310),X311) = X310,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBK__1) ).

fof(fact_double__complement,axiom,
    ! [X19,X5] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),X19)) = X19,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_double__complement) ).

fof(fact_vimage__id,axiom,
    ! [X19,X5] : hAPP(c_Set_Ovimage(X5,X5,c_Fun_Oid(X5)),X19) = X19,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_vimage__id) ).

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_UNIV__def,axiom,
    ! [X5] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X5),hAPP(c_COMBK(tc_HOL_Obool,X5),c_fTrue)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_UNIV__def) ).

fof(fact_Zero__not__Suc,axiom,
    ! [X100] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Zero__not__Suc) ).

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_Compl__empty__eq,axiom,
    ! [X5] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Compl__empty__eq) ).

fof(fact_add__0__iff,axiom,
    ! [X6,X22,X5] :
      ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)
     => ( X22 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X22),X6)
      <=> X6 = c_Groups_Ozero__class_Ozero(X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__0__iff) ).

fof(fact_add__Suc__right,axiom,
    ! [X99,X100] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X100),hAPP(c_Nat_OSuc,X99)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X100),X99)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Suc__right) ).

fof(fact_id__def,axiom,
    ! [X208,X39] : hAPP(c_Fun_Oid(X39),X208) = X208,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_id__def) ).

fof(help_c__COMBB__1,axiom,
    ! [X32,X26,X23,X48,X5,X17] : hAPP(hAPP(hAPP(c_COMBB(X17,X5,X48),X23),X26),X32) = hAPP(X23,hAPP(X26,X32)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).

fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).

fof(fact_Nat_Oadd__0__right,axiom,
    ! [X100] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X100),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).

fof(fact_n__not__Suc__n,axiom,
    ! [X99] : X99 != hAPP(c_Nat_OSuc,X99),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).

fof(c_0_21,plain,
    ! [X23,X5] :
      ( hAPP(c_Set_OCollect(X5),X23) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
    <=> ! [X3] : ~ hBOOL(hAPP(X23,X3)) ),
    inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).

fof(c_0_22,plain,
    ! [X611] : c_Orderings_Obot__class_Obot(tc_fun(X611,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X611),hAPP(c_COMBK(tc_HOL_Obool,X611),c_fFalse)),
    inference(variable_rename,[status(thm)],[fact_empty__def]) ).

fof(c_0_23,plain,
    ! [X459,X460] : hAPP(c_Set_OCollect(X460),X459) = X459,
    inference(variable_rename,[status(thm)],[fact_Collect__def]) ).

fof(c_0_24,plain,
    ! [X8189,X8190] : hAPP(c_Set_OCollect(X8190),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X8190),c_fNot),X8189)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8190,tc_HOL_Obool)),hAPP(c_Set_OCollect(X8190),X8189)),
    inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).

fof(c_0_25,plain,
    ! [X2487,X2488,X2489,X2490] : hAPP(c_Set_Ovimage(X2490,X2489,X2488),hAPP(c_Set_OCollect(X2489),X2487)) = hAPP(c_Set_OCollect(X2490),hAPP(hAPP(c_COMBB(X2489,tc_HOL_Obool,X2490),X2487),X2488)),
    inference(variable_rename,[status(thm)],[fact_vimage__Collect__eq]) ).

fof(c_0_26,plain,
    ! [X583,X584,X585,X586,X588] :
      ( ( hAPP(c_Set_OCollect(X584),X583) != c_Orderings_Obot__class_Obot(tc_fun(X584,tc_HOL_Obool))
        | ~ hBOOL(hAPP(X583,X585)) )
      & ( hBOOL(hAPP(X586,esk12_1(X586)))
        | hAPP(c_Set_OCollect(X588),X586) = c_Orderings_Obot__class_Obot(tc_fun(X588,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,
    ! [X17627,X17628,X17629,X17630] : hAPP(hAPP(c_COMBK(X17630,X17629),X17628),X17627) = X17628,
    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,
    ! [X8150,X8151] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8151,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8151,tc_HOL_Obool)),X8150)) = X8150,
    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,
    ! [X10924,X10925] : hAPP(c_Set_Ovimage(X10925,X10925,c_Fun_Oid(X10925)),X10924) = X10924,
    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,
    ! [X23] :
      ( ~ hBOOL(hAPP(c_fNot,X23))
      | ~ hBOOL(X23) ),
    inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).

cnf(c_0_35,plain,
    ( hBOOL(hAPP(X1,esk12_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_36,plain,
    hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,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]) ).

fof(c_0_38,plain,
    ! [X2031] : c_Orderings_Otop__class_Otop(tc_fun(X2031,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X2031),hAPP(c_COMBK(tc_HOL_Obool,X2031),c_fTrue)),
    inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).

fof(c_0_39,plain,
    ! [X3730] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X3730),
    inference(variable_rename,[status(thm)],[fact_Zero__not__Suc]) ).

cnf(c_0_40,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_41,plain,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).

cnf(c_0_42,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_43,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_44,plain,
    hAPP(c_Set_Ovimage(X1,X1,c_Fun_Oid(X1)),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_45,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_46,plain,
    ! [X17653] :
      ( ~ hBOOL(hAPP(c_fNot,X17653))
      | ~ hBOOL(X17653) ),
    inference(variable_rename,[status(thm)],[c_0_34]) ).

cnf(c_0_47,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | hBOOL(hAPP(X1,esk12_1(X1))) ),
    inference(rw,[status(thm)],[c_0_35,c_0_29]) ).

cnf(c_0_48,plain,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_49,plain,
    ! [X8279] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8279,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X8279,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X8279,tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[fact_Compl__empty__eq]) ).

cnf(c_0_50,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_38]) ).

fof(c_0_51,plain,
    ! [X3430,X3431,X3432] :
      ( ( X3431 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3432),X3431),X3430)
        | X3430 = c_Groups_Ozero__class_Ozero(X3432)
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3432) )
      & ( X3430 != c_Groups_Ozero__class_Ozero(X3432)
        | X3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3432),X3431),X3430)
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3432) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__iff])])]) ).

fof(c_0_52,plain,
    ! [X3617,X3618] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3618),hAPP(c_Nat_OSuc,X3617)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3618),X3617)),
    inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).

cnf(c_0_53,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_54,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
    inference(rw,[status(thm)],[c_0_40,c_0_41]) ).

fof(c_0_55,plain,
    ! [X10910,X10911] : hAPP(c_Fun_Oid(X10911),X10910) = X10910,
    inference(variable_rename,[status(thm)],[fact_id__def]) ).

cnf(c_0_56,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_42,c_0_43]),c_0_43]) ).

cnf(c_0_57,plain,
    hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_Fun_Oid(X1)) = X2,
    inference(rw,[status(thm)],[c_0_44,c_0_45]) ).

fof(c_0_58,plain,
    ! [X17631,X17632,X17633,X17634,X17635,X17636] : hAPP(hAPP(hAPP(c_COMBB(X17636,X17635,X17634),X17633),X17632),X17631) = hAPP(X17633,hAPP(X17632,X17631)),
    inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).

cnf(c_0_59,plain,
    ( ~ hBOOL(hAPP(c_fNot,X1))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_60,plain,
    ( c_fFalse = X1
    | hBOOL(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_47]),c_0_48]),c_0_36]) ).

cnf(c_0_61,plain,
    hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_62,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_50,c_0_29]) ).

cnf(c_0_63,plain,
    ( X3 = c_Groups_Ozero__class_Ozero(X2)
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_64,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_52]) ).

cnf(c_0_65,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct]) ).

cnf(c_0_66,plain,
    hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
    inference(rw,[status(thm)],[c_0_53,c_0_54]) ).

fof(c_0_67,plain,
    ! [X3333] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3333),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X3333,
    inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).

cnf(c_0_68,plain,
    hAPP(c_Fun_Oid(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_69,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_56,c_0_57]) ).

cnf(c_0_70,plain,
    hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_71,plain,
    ( hAPP(c_fNot,X1) = c_fFalse
    | ~ hBOOL(X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_72,plain,
    hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
    inference(rw,[status(thm)],[c_0_61,c_0_43]) ).

cnf(c_0_73,plain,
    hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = c_fTrue,
    inference(spm,[status(thm)],[c_0_36,c_0_62]) ).

cnf(c_0_74,plain,
    hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) != X1,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_54]),c_0_65])]),c_0_66]) ).

cnf(c_0_75,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_67]) ).

fof(c_0_76,plain,
    ! [X3159] : X3159 != hAPP(c_Nat_OSuc,X3159),
    inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).

cnf(c_0_77,plain,
    hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_78,plain,
    ( hAPP(c_fNot,X1) = c_fFalse
    | c_fFalse = X1 ),
    inference(spm,[status(thm)],[c_0_71,c_0_60]) ).

cnf(c_0_79,plain,
    hAPP(c_fNot,c_fFalse) = c_fTrue,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_72]),c_0_73]),c_0_48]) ).

cnf(c_0_80,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_74,c_0_64]) ).

cnf(c_0_81,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_75,c_0_54]) ).

cnf(c_0_82,plain,
    X1 != hAPP(c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_83,plain,
    ( c_fFalse = X1
    | c_fTrue = X1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).

cnf(c_0_84,plain,
    hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,plain,
    hAPP(c_Nat_OSuc,c_fTrue) = c_fFalse,
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83])]) ).

cnf(c_0_86,plain,
    hAPP(c_Nat_OSuc,c_fFalse) != c_fTrue,
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_87,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_83]),c_0_82]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWW306+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Aug 27 19:44:24 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.57  start to proof: theBenchmark
% 6.86/6.92  % Version  : CSE_E---1.5
% 6.86/6.92  % Problem  : theBenchmark.p
% 6.86/6.92  % Proof found
% 6.86/6.92  % SZS status Theorem for theBenchmark.p
% 6.86/6.92  % SZS output start Proof
% See solution above
% 6.86/6.94  % Total time : 6.148000 s
% 6.86/6.94  % SZS output end Proof
% 6.86/6.94  % Total time : 6.356000 s
%------------------------------------------------------------------------------