TSTP Solution File: SWW379+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW379+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 : n006.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 00:17:31 EDT 2023
% Result : Theorem 15.16s 15.37s
% Output : CNFRefutation 15.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 1140
% Syntax : Number of formulae : 1393 ( 211 unt;1068 typ; 0 def)
% Number of atoms : 506 ( 308 equ)
% Maximal formula atoms : 18 ( 1 avg)
% Number of connectives : 344 ( 163 ~; 127 |; 24 &)
% ( 11 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2948 (1009 >;1939 *; 0 +; 0 <<)
% Number of predicates : 147 ( 145 usr; 3 prp; 0-6 aty)
% Number of functors : 923 ( 923 usr; 57 con; 0-11 aty)
% Number of variables : 638 ( 107 sgn; 326 !; 4 ?; 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 ).
tff(decl_29,type,
c_Set_Oinsert: $i > $i ).
tff(decl_30,type,
tc_Com_Ocom: $i ).
tff(decl_31,type,
c_Option_Othe: $i > $i ).
tff(decl_32,type,
c_Com_Obody: $i ).
tff(decl_33,type,
c_Com_Ocom_OBODY: $i ).
tff(decl_34,type,
c_Lattices_Osemilattice__sup__class_Osup: $i > $i ).
tff(decl_35,type,
tc_Com_Opname: $i ).
tff(decl_36,type,
tc_Com_Ostate: $i ).
tff(decl_37,type,
c_COMBS: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
c_COMBB: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
c_Set_Oimage: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
tc_Option_Ooption: $i > $i ).
tff(decl_41,type,
c_Natural_Oevalc: $i ).
tff(decl_42,type,
hBOOL: $i > $o ).
tff(decl_43,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(decl_44,type,
c_Hoare__Mirabelle_OMGT: $i > $i ).
tff(decl_45,type,
c_member: $i > $i ).
tff(decl_46,type,
c_COMBK: ( $i * $i ) > $i ).
tff(decl_47,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_48,type,
class_Orderings_Obot: $i > $o ).
tff(decl_49,type,
c_fequal: $i ).
tff(decl_50,type,
c_COMBC: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
class_Lattices_Osemilattice__sup: $i > $o ).
tff(decl_52,type,
class_Lattices_Obounded__lattice__bot: $i > $o ).
tff(decl_53,type,
c_Set_Othe__elem: ( $i * $i ) > $i ).
tff(decl_54,type,
c_HOL_OAll: $i > $i ).
tff(decl_55,type,
c_fimplies: $i ).
tff(decl_56,type,
c_Hoare__Mirabelle_Otriple_Otriple__case: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
c_Hoare__Mirabelle_Otriple_Otriple__rec: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
c_Hoare__Mirabelle_Ostate__not__singleton: $o ).
tff(decl_59,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_60,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_61,type,
c_fconj: $i ).
tff(decl_62,type,
c_fNot: $i ).
tff(decl_63,type,
c_Com_Ocom_OWhile: ( $i * $i ) > $i ).
tff(decl_64,type,
c_HOL_OThe: ( $i * $i ) > $i ).
tff(decl_65,type,
c_Com_OWT__bodies: $o ).
tff(decl_66,type,
c_Com_OWT: $i ).
tff(decl_67,type,
c_COMBI: $i > $i ).
tff(decl_68,type,
c_Hoare__Mirabelle_Opeek__and: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
c_Fun_Ocomp: ( $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
c_Finite__Set_Ofinite: $i > $i ).
tff(decl_71,type,
c_Map_Odom: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
c_Set_Ovimage: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
c_Com_Ocom_OCond: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
c_Finite__Set_Ofold__image: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
c_Big__Operators_Olattice__class_OSup__fin: ( $i * $i ) > $i ).
tff(decl_76,type,
class_Finite__Set_Ofinite: $i > $o ).
tff(decl_77,type,
c_Big__Operators_Ocomm__monoid__big: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_78,type,
c_Finite__Set_Ofolding__one: ( $i * $i * $i ) > $o ).
tff(decl_79,type,
c_Finite__Set_Ofolding__idem: ( $i * $i * $i * $i ) > $o ).
tff(decl_80,type,
c_Finite__Set_Ofolding__one__idem: ( $i * $i * $i ) > $o ).
tff(decl_81,type,
c_Finite__Set_Ofolding: ( $i * $i * $i * $i ) > $o ).
tff(decl_82,type,
c_Groups_Ominus__class_Ominus: $i > $i ).
tff(decl_83,type,
class_Groups_Ominus: $i > $o ).
tff(decl_84,type,
c_Finite__Set_Ofolding__image__simple: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_85,type,
c_Fun_Ofun__upd: ( $i * $i ) > $i ).
tff(decl_86,type,
c_Finite__Set_Ofun__left__comm__idem: ( $i * $i * $i ) > $o ).
tff(decl_87,type,
class_Rings_Oring: $i > $o ).
tff(decl_88,type,
c_Big__Operators_Ocomm__monoid__add__class_Osetsum: ( $i * $i ) > $i ).
tff(decl_89,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_90,type,
c_Lattices_Osemilattice__inf__class_Oinf: $i > $i ).
tff(decl_91,type,
class_Lattices_Osemilattice__inf: $i > $o ).
tff(decl_92,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_93,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_94,type,
tc_Nat_Onat: $i ).
tff(decl_95,type,
c_Big__Operators_Olattice__class_OInf__fin: ( $i * $i ) > $i ).
tff(decl_96,type,
c_Groups_Oplus__class_Oplus: $i > $i ).
tff(decl_97,type,
c_Finite__Set_Ofolding__image__simple__idem: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_98,type,
c_Finite__Set_Ofold: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
c_Finite__Set_Ofun__left__comm: ( $i * $i * $i ) > $o ).
tff(decl_100,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_101,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_102,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i ) > $i ).
tff(decl_103,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_104,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_105,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_106,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_107,type,
c_Complete__Lattice_Ocomplete__lattice__class_OINFI: ( $i * $i ) > $i ).
tff(decl_108,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_109,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_110,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
c_Finite__Set_Ocard: $i > $i ).
tff(decl_112,type,
c_If: $i > $i ).
tff(decl_113,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_114,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(decl_115,type,
class_Groups_Ozero: $i > $o ).
tff(decl_116,type,
class_Orderings_Otop: $i > $o ).
tff(decl_117,type,
tc_sum: ( $i * $i ) > $i ).
tff(decl_118,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_119,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_120,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_121,type,
class_Lattices_Obounded__lattice__top: $i > $o ).
tff(decl_122,type,
c_Hoare__Mirabelle_Otriple_Otriple__size: ( $i * $i * $i ) > $i ).
tff(decl_123,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).
tff(decl_124,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_125,type,
tc_Product__Type_Ounit: $i ).
tff(decl_126,type,
class_Groups_Oone: $i > $o ).
tff(decl_127,type,
c_Nat_Osize__class_Osize: $i > $i ).
tff(decl_128,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_129,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_130,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_131,type,
c_Sum__Type_OPlus: ( $i * $i * $i * $i ) > $i ).
tff(decl_132,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_133,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_134,type,
c_Orderings_Oord__class_Oless: $i > $i ).
tff(decl_135,type,
c_Nat_OSuc: $i ).
tff(decl_136,type,
c_Hoare__Mirabelle_Otriple__valid: ( $i * $i * $i ) > $o ).
tff(decl_137,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_138,type,
c_Int_Oring__1__class_OInts: $i > $i ).
tff(decl_139,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_140,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_141,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_142,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_143,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_144,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_145,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_146,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_147,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_148,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_149,type,
class_Orderings_Oord: $i > $o ).
tff(decl_150,type,
class_Lattices_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_151,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_152,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_153,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_154,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_155,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_156,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_157,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_158,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_159,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_160,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_161,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_162,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_163,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_164,type,
c_Com_Ocom_Ocom__size: $i > $i ).
tff(decl_165,type,
c_Nat_Onat_Onat__case: ( $i * $i * $i * $i ) > $i ).
tff(decl_166,type,
c_Finite__Set_Ofold1: ( $i * $i ) > $i ).
tff(decl_167,type,
c_Natural_Oevaln: $i ).
tff(decl_168,type,
c_SetInterval_Oord__class_OlessThan: $i > $i ).
tff(decl_169,type,
c_Orderings_Oord__class_Oless__eq: $i > $i ).
tff(decl_170,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_171,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_172,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_173,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_174,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_175,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_176,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_177,type,
c_Big__Operators_Osemilattice__big: ( $i * $i * $i ) > $o ).
tff(decl_178,type,
c_Partial__Function_Oflat__lub: ( $i * $i * $i ) > $i ).
tff(decl_179,type,
c_Nat_Osemiring__1__class_Oof__nat: $i > $i ).
tff(decl_180,type,
tc_Int_Oint: $i ).
tff(decl_181,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_182,type,
c_fFalse: $i ).
tff(decl_183,type,
class_Rings_Osemiring__1: $i > $o ).
tff(decl_184,type,
c_Nat_Osemiring__1__class_Oof__nat__aux: ( $i * $i * $i * $i ) > $i ).
tff(decl_185,type,
c_SetInterval_Oord_OgreaterThanAtMost: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_186,type,
c_SetInterval_Oord_OatLeastLessThan: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_187,type,
c_SetInterval_Oord_OgreaterThanLessThan: ( $i * $i * $i * $i ) > $i ).
tff(decl_188,type,
c_SetInterval_Oord_OatLeastAtMost: ( $i * $i * $i * $i ) > $i ).
tff(decl_189,type,
c_SetInterval_Oord_OgreaterThan: ( $i * $i * $i ) > $i ).
tff(decl_190,type,
c_SetInterval_Oord_OatMost: ( $i * $i * $i ) > $i ).
tff(decl_191,type,
c_SetInterval_Oord_OatLeast: ( $i * $i * $i ) > $i ).
tff(decl_192,type,
c_SetInterval_Oord_OlessThan: ( $i * $i * $i ) > $i ).
tff(decl_193,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(decl_194,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i ) > $i ).
tff(decl_195,type,
c_Predicate_OPowp: ( $i * $i ) > $i ).
tff(decl_196,type,
c_SetInterval_Oord__class_OgreaterThanLessThan: ( $i * $i * $i ) > $i ).
tff(decl_197,type,
c_SetInterval_Oord__class_OgreaterThanAtMost: ( $i * $i * $i ) > $i ).
tff(decl_198,type,
c_SetInterval_Oord__class_OgreaterThan: $i > $i ).
tff(decl_199,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_200,type,
c_SetInterval_Oord__class_OatMost: $i > $i ).
tff(decl_201,type,
c_Int_Onat: $i ).
tff(decl_202,type,
c_SetInterval_Oord__class_OatLeast: $i > $i ).
tff(decl_203,type,
c_Int_Onat__aux: ( $i * $i ) > $i ).
tff(decl_204,type,
c_Nat__Transfer_Otransfer__morphism: ( $i * $i * $i * $i ) > $o ).
tff(decl_205,type,
c_Nat__Transfer_Onat__set: $i > $o ).
tff(decl_206,type,
c_Nat__Transfer_Ois__nat: $i > $o ).
tff(decl_207,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_208,type,
c_Groups_Oabs__class_Oabs: $i > $i ).
tff(decl_209,type,
class_Groups_Oordered__ab__group__add__abs: $i > $o ).
tff(decl_210,type,
class_Rings_Oordered__ring__abs: $i > $o ).
tff(decl_211,type,
c_Finite__Set_Ofolding__image: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_212,type,
c_Nitpick_Oint__lcm: ( $i * $i ) > $i ).
tff(decl_213,type,
c_Nitpick_Onat__lcm: ( $i * $i ) > $i ).
tff(decl_214,type,
c_Fun_Othe__inv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_215,type,
c_Set_OCollect: $i > $i ).
tff(decl_216,type,
c_fdisj: $i ).
tff(decl_217,type,
c_fTrue: $i ).
tff(decl_218,type,
c_Fun_Ooverride__on: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_219,type,
c_HOL_OEx: $i > $i ).
tff(decl_220,type,
class_Groups_Olinordered__ab__semigroup__add: $i > $o ).
tff(decl_221,type,
c_Big__Operators_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(decl_222,type,
c_Big__Operators_Olinorder__class_OMax: ( $i * $i ) > $i ).
tff(decl_223,type,
c_Nat__Numeral_Oneg: $i ).
tff(decl_224,type,
c_HOL_OLet: ( $i * $i ) > $i ).
tff(decl_225,type,
c_Orderings_Oord__class_Omin: $i > $i ).
tff(decl_226,type,
c_Orderings_Oord__class_Omax: $i > $i ).
tff(decl_227,type,
c_Groups_Ouminus__class_Ouminus: $i > $i ).
tff(decl_228,type,
c_Big__Operators_Ocomm__monoid__mult__class_Osetprod: ( $i * $i ) > $i ).
tff(decl_229,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_230,type,
class_Groups_Ouminus: $i > $o ).
tff(decl_231,type,
class_Rings_Oidom: $i > $o ).
tff(decl_232,type,
class_Fields_Olinordered__field: $i > $o ).
tff(decl_233,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_234,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_235,type,
class_Groups_Oabs__if: $i > $o ).
tff(decl_236,type,
c_Orderings_Oord_Omin: ( $i * $i ) > $i ).
tff(decl_237,type,
c_Orderings_Oord_Omax: ( $i * $i ) > $i ).
tff(decl_238,type,
c_Big__Operators_Olattice_OSup__fin: ( $i * $i * $i ) > $i ).
tff(decl_239,type,
c_Big__Operators_Olattice_OInf__fin: ( $i * $i * $i ) > $i ).
tff(decl_240,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_241,type,
c_Int_Oring__1__class_Oof__int: $i > $i ).
tff(decl_242,type,
class_Fields_Ofield: $i > $o ).
tff(decl_243,type,
c_Rings_Oinverse__class_Odivide: $i > $i ).
tff(decl_244,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_245,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_246,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_247,type,
class_Power_Opower: $i > $o ).
tff(decl_248,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_249,type,
c_Set_OPow: $i > $i ).
tff(decl_250,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_251,type,
c_Divides_Odiv__class_Odiv: $i > $i ).
tff(decl_252,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_253,type,
c_SMT_Oz3div: ( $i * $i ) > $i ).
tff(decl_254,type,
c_Nitpick_Onat__gcd: ( $i * $i ) > $i ).
tff(decl_255,type,
c_Nitpick_Oint__gcd: $i ).
tff(decl_256,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_257,type,
c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_258,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_259,type,
class_Groups_Osgn__if: $i > $o ).
tff(decl_260,type,
c_SMT_Oz3mod: ( $i * $i ) > $i ).
tff(decl_261,type,
c_Equiv__Relations_Oquotient: $i > $i ).
tff(decl_262,type,
c_Relation_OImage: ( $i * $i * $i ) > $i ).
tff(decl_263,type,
c_Int_Onumber__class_Onumber__of: $i > $i ).
tff(decl_264,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_265,type,
class_Int_Onumber: $i > $o ).
tff(decl_266,type,
c_Int_OBit1: $i > $i ).
tff(decl_267,type,
c_Int_Osucc: $i > $i ).
tff(decl_268,type,
c_Int_OPls: $i ).
tff(decl_269,type,
c_Int_Opred: $i > $i ).
tff(decl_270,type,
c_Nat_Onat_Onat__rec: ( $i * $i * $i ) > $i ).
tff(decl_271,type,
c_Int_Oiszero: ( $i * $i ) > $o ).
tff(decl_272,type,
c_Int_OBit0: $i > $i ).
tff(decl_273,type,
tc_Code__Numeral_Ocode__numeral: $i ).
tff(decl_274,type,
c_Code__Numeral_Oint__of: $i ).
tff(decl_275,type,
c_Product__Type_Oprod_Oprod__case: ( $i * $i * $i ) > $i ).
tff(decl_276,type,
c_Divides_Odivmod__int: ( $i * $i ) > $i ).
tff(decl_277,type,
c_Int_OMin: $i ).
tff(decl_278,type,
c_Nitpick_OFrac: $i ).
tff(decl_279,type,
c_Int_Oint__ge__less__than: $i > $i ).
tff(decl_280,type,
c_Int_Oint__ge__less__than2: $i > $i ).
tff(decl_281,type,
c_Nitpick_Oprod: ( $i * $i * $i * $i ) > $i ).
tff(decl_282,type,
c_Code__Numeral_Onat__of__aux: ( $i * $i ) > $i ).
tff(decl_283,type,
c_Divides_Odivmod__int__rel: ( $i * $i ) > $i ).
tff(decl_284,type,
c_Product__Type_OPair: ( $i * $i ) > $i ).
tff(decl_285,type,
c_Code__Numeral_Ocode__numeral_Ocode__numeral__size: $i > $i ).
tff(decl_286,type,
c_Nat_Osemiring__1__class_ONats: $i > $i ).
tff(decl_287,type,
c_Nitpick_Onorm__frac: ( $i * $i ) > $i ).
tff(decl_288,type,
c_Divides_Oadjust: $i > $i ).
tff(decl_289,type,
c_FunDef_Oin__rel: ( $i * $i * $i ) > $i ).
tff(decl_290,type,
c_Code__Numeral_Odiv__mod__code__numeral: ( $i * $i ) > $i ).
tff(decl_291,type,
c_Divides_OnegDivAlg: ( $i * $i ) > $i ).
tff(decl_292,type,
c_Nitpick_Orefl_H: ( $i * $i ) > $o ).
tff(decl_293,type,
c_Divides_OposDivAlg: ( $i * $i ) > $i ).
tff(decl_294,type,
c_Divides_OnegateSnd: $i ).
tff(decl_295,type,
c_Divides_Odivmod__nat: ( $i * $i ) > $i ).
tff(decl_296,type,
c_Product__Type_Oapsnd: ( $i * $i * $i * $i ) > $i ).
tff(decl_297,type,
c_Divides_Opdivmod: ( $i * $i ) > $i ).
tff(decl_298,type,
c_Divides_Odivmod__nat__rel: ( $i * $i ) > $i ).
tff(decl_299,type,
c_Divides_OnegDivAlg__rel: $i ).
tff(decl_300,type,
c_Wellfounded_Oaccp: ( $i * $i ) > $i ).
tff(decl_301,type,
c_Divides_OposDivAlg__rel: $i ).
tff(decl_302,type,
c_Nitpick_Onorm__frac__rel: $i ).
tff(decl_303,type,
c_Product__Type_Osnd: ( $i * $i ) > $i ).
tff(decl_304,type,
c_Nitpick_Onat__gcd__rel: $i ).
tff(decl_305,type,
c_Nat_Onat_Onat__size: $i > $i ).
tff(decl_306,type,
c_Wellfounded_Omeasure: $i > $i ).
tff(decl_307,type,
c_Relation_Oirrefl: ( $i * $i ) > $o ).
tff(decl_308,type,
c_Product__Type_Ofst: ( $i * $i ) > $i ).
tff(decl_309,type,
c_Product__Type_Oprod_Oprod__size: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_310,type,
c_Int_ORep__Integ: $i ).
tff(decl_311,type,
c_Relation_Oinv__image: ( $i * $i ) > $i ).
tff(decl_312,type,
c_FunDef_Orp__inv__image: ( $i * $i ) > $i ).
tff(decl_313,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(decl_314,type,
c_Equiv__Relations_Ocongruent: ( $i * $i * $i * $i ) > $o ).
tff(decl_315,type,
c_Equiv__Relations_Ocongruent2: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_316,type,
c_Wellfounded_Ofinite__psubset: $i > $i ).
tff(decl_317,type,
c_Wellfounded_Omlex__prod: ( $i * $i * $i ) > $i ).
tff(decl_318,type,
c_Code__Numeral_OSuc__code__numeral: $i > $i ).
tff(decl_319,type,
c_Product__Type_Oprod_Oprod__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_320,type,
c_Wellfounded_Olex__prod: ( $i * $i * $i * $i ) > $i ).
tff(decl_321,type,
c_Equiv__Relations_Oequivp: ( $i * $i ) > $o ).
tff(decl_322,type,
c_Product__Type_Oapfst: ( $i * $i * $i * $i ) > $i ).
tff(decl_323,type,
c_Recdef_Osame__fst: ( $i * $i * $i * $i ) > $i ).
tff(decl_324,type,
c_FunDef_Opair__less: $i ).
tff(decl_325,type,
c_FunDef_Opair__leq: $i ).
tff(decl_326,type,
c_FunDef_Omax__strict: $i ).
tff(decl_327,type,
c_FunDef_Omin__strict: $i ).
tff(decl_328,type,
c_FunDef_Omin__weak: $i ).
tff(decl_329,type,
c_FunDef_Omax__weak: $i ).
tff(decl_330,type,
c_Relation_OField: $i > $i ).
tff(decl_331,type,
c_Wellfounded_Omin__ext: ( $i * $i ) > $i ).
tff(decl_332,type,
c_Wellfounded_Omax__ext: ( $i * $i ) > $i ).
tff(decl_333,type,
c_Relation_OId__on: ( $i * $i ) > $i ).
tff(decl_334,type,
c_Wellfounded_Omax__extp: ( $i * $i * $i * $i ) > $o ).
tff(decl_335,type,
c_FunDef_Oreduction__pair: ( $i * $i ) > $o ).
tff(decl_336,type,
c_Int_Ointrel: $i ).
tff(decl_337,type,
c_Wellfounded_Oless__than: $i ).
tff(decl_338,type,
c_Int_OAbs__Integ: $i ).
tff(decl_339,type,
c_Int_OInteg: $i ).
tff(decl_340,type,
c_Typedef_Otype__definition: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_341,type,
c_Code__Numeral_Ocode__numeral_Ocode__numeral__case: ( $i * $i * $i * $i ) > $i ).
tff(decl_342,type,
c_Wellfounded_Oacc: ( $i * $i ) > $i ).
tff(decl_343,type,
c_Relation_Orel__comp: ( $i * $i * $i ) > $i ).
tff(decl_344,type,
c_Predicate_Opred__comp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_345,type,
c_Wellfounded_Owf: ( $i * $i ) > $o ).
tff(decl_346,type,
c_Nitpick_Ozero__frac: $i > $i ).
tff(decl_347,type,
c_Nitpick_OAbs__Frac: ( $i * $i ) > $i ).
tff(decl_348,type,
class_Orderings_Owellorder: $i > $o ).
tff(decl_349,type,
c_Nitpick_Oone__frac: $i > $i ).
tff(decl_350,type,
c_Nitpick_Onumber__of__frac: ( $i * $i ) > $i ).
tff(decl_351,type,
c_Nitpick_Ofrac: $i > $i ).
tff(decl_352,type,
c_Wellfounded_Opred__nat: $i ).
tff(decl_353,type,
tc_List_Olist: $i > $i ).
tff(decl_354,type,
c_List_Olenlex: ( $i * $i ) > $i ).
tff(decl_355,type,
c_List_Olex: ( $i * $i ) > $i ).
tff(decl_356,type,
c_List_Olexn: ( $i * $i ) > $i ).
tff(decl_357,type,
c_Relation_ORange: ( $i * $i ) > $i ).
tff(decl_358,type,
c_Product__Type_OSigma: ( $i * $i ) > $i ).
tff(decl_359,type,
c_Wellfounded_OwfP: ( $i * $i ) > $o ).
tff(decl_360,type,
c_Fun_Oid: $i > $i ).
tff(decl_361,type,
c_Predicate_ORangeP: ( $i * $i * $i ) > $i ).
tff(decl_362,type,
c_Wellfounded_Oacyclic: ( $i * $i ) > $o ).
tff(decl_363,type,
c_Relation_ODomain: ( $i * $i ) > $i ).
tff(decl_364,type,
c_Predicate_ODomainP: ( $i * $i * $i ) > $i ).
tff(decl_365,type,
c_Nitpick_Owf_H: ( $i * $i ) > $o ).
tff(decl_366,type,
c_Nitpick_Ounknown: $i > $o ).
tff(decl_367,type,
c_Product__Type_Omap__pair: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_368,type,
c_Relation_Orefl__on: ( $i * $i * $i ) > $o ).
tff(decl_369,type,
c_Predicate_Oreflp: ( $i * $i ) > $o ).
tff(decl_370,type,
c_Set_OBall: $i > $i ).
tff(decl_371,type,
c_Hilbert__Choice_OEps: ( $i * $i ) > $i ).
tff(decl_372,type,
c_Hilbert__Choice_OLeastM: ( $i * $i * $i * $i ) > $i ).
tff(decl_373,type,
c_Hilbert__Choice_OGreatestM: ( $i * $i * $i ) > $i ).
tff(decl_374,type,
c_Hilbert__Choice_OGreatest: $i > $i ).
tff(decl_375,type,
c_Com_Ocom_OLocal: ( $i * $i * $i ) > $i ).
tff(decl_376,type,
c_Product__Type_Oscomp: ( $i * $i * $i * $i ) > $i ).
tff(decl_377,type,
c_Random_Oiterate: ( $i * $i * $i * $i ) > $i ).
tff(decl_378,type,
c_Random_Olog: ( $i * $i ) > $i ).
tff(decl_379,type,
c_Random_Ominus__shift: ( $i * $i * $i ) > $i ).
tff(decl_380,type,
c_Random_Oinc__shift: ( $i * $i ) > $i ).
tff(decl_381,type,
c_Random_Orange: $i > $i ).
tff(decl_382,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(decl_383,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_384,type,
c_Relation_OId: $i > $i ).
tff(decl_385,type,
c_Relation_Oconverse: ( $i * $i ) > $i ).
tff(decl_386,type,
c_Relation_Osingle__valued: ( $i * $i * $i ) > $o ).
tff(decl_387,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).
tff(decl_388,type,
c_Nat_Ocompow: ( $i * $i ) > $i ).
tff(decl_389,type,
c_Nat_Ofunpow: $i > $i ).
tff(decl_390,type,
c_Nitpick_Oplus__frac: ( $i * $i * $i ) > $i ).
tff(decl_391,type,
c_Nitpick_Odenom: $i > $i ).
tff(decl_392,type,
c_Nitpick_Onum: $i > $i ).
tff(decl_393,type,
c_Nitpick_Otimes__frac: ( $i * $i * $i ) > $i ).
tff(decl_394,type,
class_Rings_Oinverse: $i > $o ).
tff(decl_395,type,
c_Nitpick_Oof__frac: ( $i * $i * $i ) > $i ).
tff(decl_396,type,
c_Nitpick_Oinverse__frac: ( $i * $i ) > $i ).
tff(decl_397,type,
c_Nitpick_Ouminus__frac: ( $i * $i ) > $i ).
tff(decl_398,type,
c_Nitpick_Oless__frac: ( $i * $i * $i ) > $o ).
tff(decl_399,type,
c_Nitpick_Oless__eq__frac: ( $i * $i * $i ) > $o ).
tff(decl_400,type,
c_Nitpick_ORep__Frac: $i > $i ).
tff(decl_401,type,
c_Product__Type_Ointernal__split: ( $i * $i * $i ) > $i ).
tff(decl_402,type,
c_HOL_Obool_Obool__size: $i > $i ).
tff(decl_403,type,
c_List_Osublist: ( $i * $i * $i ) > $i ).
tff(decl_404,type,
c_List_Olist_OCons: $i > $i ).
tff(decl_405,type,
c_List_Oset__Cons: ( $i * $i * $i ) > $i ).
tff(decl_406,type,
c_Random_Opick: ( $i * $i ) > $i ).
tff(decl_407,type,
c_Random_Oselect__weight: ( $i * $i ) > $i ).
tff(decl_408,type,
c_List_Olexord: ( $i * $i ) > $i ).
tff(decl_409,type,
c_List_Olistrel1: ( $i * $i ) > $i ).
tff(decl_410,type,
c_List_Olist_Olist__size: ( $i * $i * $i ) > $i ).
tff(decl_411,type,
c_List_Olistrel: ( $i * $i ) > $i ).
tff(decl_412,type,
c_List_Olistrelp: ( $i * $i * $i * $i ) > $o ).
tff(decl_413,type,
c_List_Olists: ( $i * $i ) > $i ).
tff(decl_414,type,
c_List_Onth: $i > $i ).
tff(decl_415,type,
c_List_Otake: $i > $i ).
tff(decl_416,type,
c_List_Oset: $i > $i ).
tff(decl_417,type,
c_Com_Obodies: $i ).
tff(decl_418,type,
c_List_Ozip: ( $i * $i ) > $i ).
tff(decl_419,type,
c_List_Oupto: ( $i * $i ) > $i ).
tff(decl_420,type,
c_List_Omonoid__add__class_Olistsum: $i > $i ).
tff(decl_421,type,
c_List_Onat__list: $i > $o ).
tff(decl_422,type,
c_List_Olist__update: ( $i * $i ) > $i ).
tff(decl_423,type,
c_List_Obutlast: ( $i * $i ) > $i ).
tff(decl_424,type,
c_List_Odistinct: $i > $i ).
tff(decl_425,type,
c_Nitpick_Ocard_H: ( $i * $i ) > $i ).
tff(decl_426,type,
c_Map_Omap__upds: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_427,type,
c_Map_Orestrict__map: ( $i * $i * $i * $i ) > $i ).
tff(decl_428,type,
c_List_Oremove1: ( $i * $i * $i ) > $i ).
tff(decl_429,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_430,type,
c_List_Oupto__rel: $i ).
tff(decl_431,type,
c_Random_Oselect: ( $i * $i ) > $i ).
tff(decl_432,type,
c_List_Olistset: ( $i * $i ) > $i ).
tff(decl_433,type,
c_List_Olist_Olist__case: ( $i * $i * $i * $i ) > $i ).
tff(decl_434,type,
c_List_Olinorder__class_Osorted__list__of__set: ( $i * $i ) > $i ).
tff(decl_435,type,
c_Lazy__Sequence_Oanamorph: ( $i * $i * $i ) > $i ).
tff(decl_436,type,
c_Option_Ooption_Ooption__case: ( $i * $i * $i * $i ) > $i ).
tff(decl_437,type,
c_List_Oappend: $i > $i ).
tff(decl_438,type,
c_List_Orotate1: $i > $i ).
tff(decl_439,type,
c_Option_Ooption_OSome: $i > $i ).
tff(decl_440,type,
c_Option_Ooption_Ooption__size: ( $i * $i * $i ) > $i ).
tff(decl_441,type,
c_Option_Oset: ( $i * $i ) > $i ).
tff(decl_442,type,
c_List_Odrop: $i > $i ).
tff(decl_443,type,
c_List_Ohd: $i > $i ).
tff(decl_444,type,
c_List_Otl: $i > $i ).
tff(decl_445,type,
c_List_Ofoldl: ( $i * $i * $i * $i ) > $i ).
tff(decl_446,type,
c_List_Orotate: ( $i * $i ) > $i ).
tff(decl_447,type,
class_Groups_Osemigroup__add: $i > $o ).
tff(decl_448,type,
c_Map_Oran: ( $i * $i * $i ) > $i ).
tff(decl_449,type,
c_List_Olinorder__class_Oinsort__key: ( $i * $i * $i ) > $i ).
tff(decl_450,type,
c_List_Olinorder__class_Oinsort__insert__key: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_451,type,
c_List_Olast: ( $i * $i ) > $i ).
tff(decl_452,type,
c_Map_Omap__of: ( $i * $i ) > $i ).
tff(decl_453,type,
c_List_Omap: ( $i * $i ) > $i ).
tff(decl_454,type,
c_Nitpick_Osetsum_H: ( $i * $i * $i * $i ) > $i ).
tff(decl_455,type,
c_Code__Numeral_Oof__nat: $i ).
tff(decl_456,type,
c_Option_Omap: ( $i * $i ) > $i ).
tff(decl_457,type,
c_Code__Numeral_Onat__of: $i ).
tff(decl_458,type,
c_Code__Numeral_Osubtract__code__numeral: $i ).
tff(decl_459,type,
c_New__DSequence_Opos__not__seq: $i > $i ).
tff(decl_460,type,
c_Lazy__Sequence_Ohb__not__seq: $i > $i ).
tff(decl_461,type,
c_Option_Ooption_ONone: $i > $i ).
tff(decl_462,type,
c_List_Opartition: ( $i * $i * $i ) > $i ).
tff(decl_463,type,
c_List_Olistsp: ( $i * $i ) > $i ).
tff(decl_464,type,
c_Smallcheck_Oorelse: ( $i * $i * $i ) > $i ).
tff(decl_465,type,
c_Enum_Oproduct: ( $i * $i * $i * $i ) > $i ).
tff(decl_466,type,
c_Enum_Osublists: ( $i * $i ) > $i ).
tff(decl_467,type,
c_Enum_On__lists: ( $i * $i * $i ) > $i ).
tff(decl_468,type,
c_Enum_Oenum__the: ( $i * $i ) > $i ).
tff(decl_469,type,
c_Smallcheck_Ofull__small__class_Ofull__small: ( $i * $i * $i ) > $i ).
tff(decl_470,type,
c_Smallcheck_Ofull__small_H: ( $i * $i * $i ) > $i ).
tff(decl_471,type,
c_Smallcheck_Osmall_H: ( $i * $i * $i ) > $i ).
tff(decl_472,type,
tc_Code__Evaluation_Oterm: $i ).
tff(decl_473,type,
c_Smallcheck_Osmall_H__rel: $i ).
tff(decl_474,type,
c_Smallcheck_Osmall__class_Osmall: $i > $i ).
tff(decl_475,type,
class_Smallcheck_Osmall: $i > $o ).
tff(decl_476,type,
class_Enum_Oenum: $i > $o ).
tff(decl_477,type,
c_Enum_Oenum__class_Oenum: $i > $i ).
tff(decl_478,type,
class_HOL_Oequal: $i > $o ).
tff(decl_479,type,
c_Enum_Oall__n__lists: ( $i * $i * $i ) > $o ).
tff(decl_480,type,
c_Enum_Oex__n__lists: ( $i * $i * $i ) > $o ).
tff(decl_481,type,
c_Enum_Oenum__class_Oenum__all: $i > $i ).
tff(decl_482,type,
c_Enum_Oenum__class_Oenum__ex: $i > $i ).
tff(decl_483,type,
c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_484,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(decl_485,type,
c_List_OremoveAll: ( $i * $i ) > $i ).
tff(decl_486,type,
c_List_Oconcat: ( $i * $i ) > $i ).
tff(decl_487,type,
c_List_Olinorder__class_Osort__key: ( $i * $i * $i * $i ) > $i ).
tff(decl_488,type,
c_List_Otranspose: ( $i * $i ) > $i ).
tff(decl_489,type,
c_List_Ofilter: ( $i * $i ) > $i ).
tff(decl_490,type,
c_List_Otranspose__rel: $i > $i ).
tff(decl_491,type,
c_List_Omap__filter: ( $i * $i * $i * $i ) > $i ).
tff(decl_492,type,
c_List_Ofoldr: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_493,type,
c_List_Oupt: ( $i * $i ) > $i ).
tff(decl_494,type,
c_List_Olinorder__class_Osorted: ( $i * $i ) > $o ).
tff(decl_495,type,
c_List_Orev: $i > $i ).
tff(decl_496,type,
c_List_OtakeWhile: ( $i * $i * $i ) > $i ).
tff(decl_497,type,
c_List_Oreturn__list: $i > $i ).
tff(decl_498,type,
c_List_Oembed__list: $i > $i ).
tff(decl_499,type,
c_List_OdropWhile: ( $i * $i * $i ) > $i ).
tff(decl_500,type,
c_Map_Omap__add: ( $i * $i * $i * $i ) > $i ).
tff(decl_501,type,
c_Map_Omap__comp: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_502,type,
c_List_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_503,type,
c_List_Omaps: ( $i * $i * $i * $i ) > $i ).
tff(decl_504,type,
c_List_Omeasures: ( $i * $i ) > $i ).
tff(decl_505,type,
c_New__Random__Sequence_Opos__not__random__dseq: ( $i * $i * $i * $i ) > $i ).
tff(decl_506,type,
c_List_Olist__ex: ( $i * $i * $i ) > $o ).
tff(decl_507,type,
c_Option_Ooption_Ooption__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_508,type,
c_List_Olist__all: ( $i * $i * $i ) > $o ).
tff(decl_509,type,
c_FunDef_Ois__measure: ( $i * $i ) > $o ).
tff(decl_510,type,
class_Nat_Osize: $i > $o ).
tff(decl_511,type,
c_List_Olist__ex1: ( $i * $i * $i ) > $o ).
tff(decl_512,type,
c_HOL_Oequal__class_Oequal: $i > $i ).
tff(decl_513,type,
tc_Lazy__Sequence_Olazy__sequence: $i > $i ).
tff(decl_514,type,
c_Lazy__Sequence_Oyield: $i > $i ).
tff(decl_515,type,
c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size: ( $i * $i ) > $i ).
tff(decl_516,type,
c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_517,type,
c_Lazy__Sequence_Oyieldn: $i > $i ).
tff(decl_518,type,
c_Lazy__Sequence_Olazy__sequence_OInsert: ( $i * $i * $i ) > $i ).
tff(decl_519,type,
c_New__DSequence_Opos__decr__bind: ( $i * $i * $i * $i ) > $i ).
tff(decl_520,type,
c_Lazy__Sequence_Oempty: $i > $i ).
tff(decl_521,type,
c_Lazy__Sequence_Obind: ( $i * $i * $i ) > $i ).
tff(decl_522,type,
c_New__DSequence_Oneg__decr__bind: ( $i * $i * $i * $i ) > $i ).
tff(decl_523,type,
c_Lazy__Sequence_Ohit__bound: $i > $i ).
tff(decl_524,type,
c_Lazy__Sequence_Ohb__bind: ( $i * $i * $i * $i ) > $i ).
tff(decl_525,type,
c_New__Random__Sequence_Opos__decr__bind: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_526,type,
c_New__Random__Sequence_Oneg__decr__bind: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_527,type,
c_New__DSequence_Oneg__bind: ( $i * $i * $i * $i ) > $i ).
tff(decl_528,type,
c_New__DSequence_Opos__empty: $i > $i ).
tff(decl_529,type,
c_New__Random__Sequence_Opos__empty: ( $i * $i * $i * $i ) > $i ).
tff(decl_530,type,
c_New__Random__Sequence_Oneg__bind: ( $i * $i * $i * $i ) > $i ).
tff(decl_531,type,
c_New__DSequence_Opos__bind: ( $i * $i * $i * $i ) > $i ).
tff(decl_532,type,
c_New__Random__Sequence_Oneg__map: ( $i * $i * $i * $i ) > $i ).
tff(decl_533,type,
c_New__Random__Sequence_Oneg__single: $i > $i ).
tff(decl_534,type,
c_New__DSequence_Oneg__single: ( $i * $i ) > $i ).
tff(decl_535,type,
c_New__Random__Sequence_Opos__bind: ( $i * $i * $i * $i ) > $i ).
tff(decl_536,type,
c_Lazy__Sequence_Ohb__single: ( $i * $i ) > $i ).
tff(decl_537,type,
c_New__Random__Sequence_Opos__map: ( $i * $i * $i * $i ) > $i ).
tff(decl_538,type,
c_New__Random__Sequence_Opos__single: $i > $i ).
tff(decl_539,type,
c_New__DSequence_Opos__single: ( $i * $i ) > $i ).
tff(decl_540,type,
c_List_Osplice: ( $i * $i * $i ) > $i ).
tff(decl_541,type,
c_Lazy__Sequence_Osingle: $i > $i ).
tff(decl_542,type,
c_Predicate_Oconversep: ( $i * $i * $i ) > $i ).
tff(decl_543,type,
c_Lazy__Sequence_Oproduct: ( $i * $i * $i * $i ) > $i ).
tff(decl_544,type,
c_List_Oreplicate: ( $i * $i * $i ) > $i ).
tff(decl_545,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_546,type,
v_G: $i ).
tff(decl_547,type,
v_Procs: $i ).
tff(decl_548,type,
v_pn: $i ).
tff(decl_549,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_550,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_551,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_552,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_553,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_554,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_555,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_556,type,
esk6_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_557,type,
esk7_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_558,type,
esk8_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_559,type,
esk9_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_560,type,
esk10_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_561,type,
esk11_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_562,type,
esk12_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_563,type,
esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_564,type,
esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_565,type,
esk15_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_566,type,
esk16_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_567,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_568,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_569,type,
esk19_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_570,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_571,type,
esk21_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_572,type,
esk22_9: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_573,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_574,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_575,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_576,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_577,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_578,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_579,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_580,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_581,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_582,type,
esk32_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_583,type,
esk33_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_584,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_585,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_586,type,
esk36_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_587,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_588,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_589,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_590,type,
esk40_3: ( $i * $i * $i ) > $i ).
tff(decl_591,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_592,type,
esk42_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_593,type,
esk43_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_594,type,
esk44_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_595,type,
esk45_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_596,type,
esk46_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_597,type,
esk47_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_598,type,
esk48_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_599,type,
esk49_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_600,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_601,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_602,type,
esk52_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_603,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_604,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_605,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_606,type,
esk56_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_607,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_608,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_609,type,
esk59_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_610,type,
esk60_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_611,type,
esk61_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_612,type,
esk62_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_613,type,
esk63_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_614,type,
esk64_3: ( $i * $i * $i ) > $i ).
tff(decl_615,type,
esk65_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_616,type,
esk66_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_617,type,
esk67_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_618,type,
esk68_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_619,type,
esk69_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_620,type,
esk70_3: ( $i * $i * $i ) > $i ).
tff(decl_621,type,
esk71_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_622,type,
esk72_3: ( $i * $i * $i ) > $i ).
tff(decl_623,type,
esk73_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_624,type,
esk74_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_625,type,
esk75_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_626,type,
esk76_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_627,type,
esk77_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_628,type,
esk78_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_629,type,
esk79_2: ( $i * $i ) > $i ).
tff(decl_630,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_631,type,
esk81_1: $i > $i ).
tff(decl_632,type,
esk82_3: ( $i * $i * $i ) > $i ).
tff(decl_633,type,
esk83_3: ( $i * $i * $i ) > $i ).
tff(decl_634,type,
esk84_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_635,type,
esk85_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_636,type,
esk86_3: ( $i * $i * $i ) > $i ).
tff(decl_637,type,
esk87_3: ( $i * $i * $i ) > $i ).
tff(decl_638,type,
esk88_3: ( $i * $i * $i ) > $i ).
tff(decl_639,type,
esk89_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_640,type,
esk90_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_641,type,
esk91_3: ( $i * $i * $i ) > $i ).
tff(decl_642,type,
esk92_3: ( $i * $i * $i ) > $i ).
tff(decl_643,type,
esk93_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_644,type,
esk94_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_645,type,
esk95_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_646,type,
esk96_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_647,type,
esk97_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_648,type,
esk98_3: ( $i * $i * $i ) > $i ).
tff(decl_649,type,
esk99_3: ( $i * $i * $i ) > $i ).
tff(decl_650,type,
esk100_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_651,type,
esk101_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_652,type,
esk102_3: ( $i * $i * $i ) > $i ).
tff(decl_653,type,
esk103_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_654,type,
esk104_3: ( $i * $i * $i ) > $i ).
tff(decl_655,type,
esk105_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_656,type,
esk106_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_657,type,
esk107_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_658,type,
esk108_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_659,type,
esk109_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_660,type,
esk110_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_661,type,
esk111_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_662,type,
esk112_1: $i > $i ).
tff(decl_663,type,
esk113_2: ( $i * $i ) > $i ).
tff(decl_664,type,
esk114_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_665,type,
esk115_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_666,type,
esk116_2: ( $i * $i ) > $i ).
tff(decl_667,type,
esk117_2: ( $i * $i ) > $i ).
tff(decl_668,type,
esk118_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_669,type,
esk119_1: $i > $i ).
tff(decl_670,type,
esk120_2: ( $i * $i ) > $i ).
tff(decl_671,type,
esk121_2: ( $i * $i ) > $i ).
tff(decl_672,type,
esk122_2: ( $i * $i ) > $i ).
tff(decl_673,type,
esk123_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_674,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_675,type,
esk125_1: $i > $i ).
tff(decl_676,type,
esk126_1: $i > $i ).
tff(decl_677,type,
esk127_1: $i > $i ).
tff(decl_678,type,
esk128_1: $i > $i ).
tff(decl_679,type,
esk129_2: ( $i * $i ) > $i ).
tff(decl_680,type,
esk130_2: ( $i * $i ) > $i ).
tff(decl_681,type,
esk131_2: ( $i * $i ) > $i ).
tff(decl_682,type,
esk132_2: ( $i * $i ) > $i ).
tff(decl_683,type,
esk133_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_684,type,
esk134_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_685,type,
esk135_3: ( $i * $i * $i ) > $i ).
tff(decl_686,type,
esk136_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_687,type,
esk137_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_688,type,
esk138_3: ( $i * $i * $i ) > $i ).
tff(decl_689,type,
esk139_2: ( $i * $i ) > $i ).
tff(decl_690,type,
esk140_2: ( $i * $i ) > $i ).
tff(decl_691,type,
esk141_2: ( $i * $i ) > $i ).
tff(decl_692,type,
esk142_2: ( $i * $i ) > $i ).
tff(decl_693,type,
esk143_3: ( $i * $i * $i ) > $i ).
tff(decl_694,type,
esk144_3: ( $i * $i * $i ) > $i ).
tff(decl_695,type,
esk145_3: ( $i * $i * $i ) > $i ).
tff(decl_696,type,
esk146_3: ( $i * $i * $i ) > $i ).
tff(decl_697,type,
esk147_1: $i > $i ).
tff(decl_698,type,
esk148_1: $i > $i ).
tff(decl_699,type,
esk149_1: $i > $i ).
tff(decl_700,type,
esk150_1: $i > $i ).
tff(decl_701,type,
esk151_2: ( $i * $i ) > $i ).
tff(decl_702,type,
esk152_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_703,type,
esk153_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_704,type,
esk154_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_705,type,
esk155_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_706,type,
esk156_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_707,type,
esk157_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_708,type,
esk158_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_709,type,
esk159_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_710,type,
esk160_3: ( $i * $i * $i ) > $i ).
tff(decl_711,type,
esk161_3: ( $i * $i * $i ) > $i ).
tff(decl_712,type,
esk162_3: ( $i * $i * $i ) > $i ).
tff(decl_713,type,
esk163_3: ( $i * $i * $i ) > $i ).
tff(decl_714,type,
esk164_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_715,type,
esk165_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_716,type,
esk166_1: $i > $i ).
tff(decl_717,type,
esk167_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_718,type,
esk168_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_719,type,
esk169_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_720,type,
esk170_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_721,type,
esk171_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_722,type,
esk172_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_723,type,
esk173_2: ( $i * $i ) > $i ).
tff(decl_724,type,
esk174_2: ( $i * $i ) > $i ).
tff(decl_725,type,
esk175_2: ( $i * $i ) > $i ).
tff(decl_726,type,
esk176_2: ( $i * $i ) > $i ).
tff(decl_727,type,
esk177_3: ( $i * $i * $i ) > $i ).
tff(decl_728,type,
esk178_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_729,type,
esk179_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_730,type,
esk180_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_731,type,
esk181_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_732,type,
esk182_2: ( $i * $i ) > $i ).
tff(decl_733,type,
esk183_1: $i > $i ).
tff(decl_734,type,
esk184_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_735,type,
esk185_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_736,type,
esk186_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_737,type,
esk187_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_738,type,
esk188_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_739,type,
esk189_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_740,type,
esk190_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_741,type,
esk191_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_742,type,
esk192_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_743,type,
esk193_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_744,type,
esk194_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_745,type,
esk195_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_746,type,
esk196_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_747,type,
esk197_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_748,type,
esk198_3: ( $i * $i * $i ) > $i ).
tff(decl_749,type,
esk199_3: ( $i * $i * $i ) > $i ).
tff(decl_750,type,
esk200_3: ( $i * $i * $i ) > $i ).
tff(decl_751,type,
esk201_3: ( $i * $i * $i ) > $i ).
tff(decl_752,type,
esk202_3: ( $i * $i * $i ) > $i ).
tff(decl_753,type,
esk203_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_754,type,
esk204_2: ( $i * $i ) > $i ).
tff(decl_755,type,
esk205_1: $i > $i ).
tff(decl_756,type,
esk206_1: $i > $i ).
tff(decl_757,type,
esk207_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_758,type,
esk208_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_759,type,
esk209_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_760,type,
esk210_2: ( $i * $i ) > $i ).
tff(decl_761,type,
esk211_2: ( $i * $i ) > $i ).
tff(decl_762,type,
esk212_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_763,type,
esk213_3: ( $i * $i * $i ) > $i ).
tff(decl_764,type,
esk214_3: ( $i * $i * $i ) > $i ).
tff(decl_765,type,
esk215_3: ( $i * $i * $i ) > $i ).
tff(decl_766,type,
esk216_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_767,type,
esk217_3: ( $i * $i * $i ) > $i ).
tff(decl_768,type,
esk218_3: ( $i * $i * $i ) > $i ).
tff(decl_769,type,
esk219_3: ( $i * $i * $i ) > $i ).
tff(decl_770,type,
esk220_3: ( $i * $i * $i ) > $i ).
tff(decl_771,type,
esk221_3: ( $i * $i * $i ) > $i ).
tff(decl_772,type,
esk222_3: ( $i * $i * $i ) > $i ).
tff(decl_773,type,
esk223_3: ( $i * $i * $i ) > $i ).
tff(decl_774,type,
esk224_2: ( $i * $i ) > $i ).
tff(decl_775,type,
esk225_2: ( $i * $i ) > $i ).
tff(decl_776,type,
esk226_2: ( $i * $i ) > $i ).
tff(decl_777,type,
esk227_2: ( $i * $i ) > $i ).
tff(decl_778,type,
esk228_2: ( $i * $i ) > $i ).
tff(decl_779,type,
esk229_2: ( $i * $i ) > $i ).
tff(decl_780,type,
esk230_2: ( $i * $i ) > $i ).
tff(decl_781,type,
esk231_2: ( $i * $i ) > $i ).
tff(decl_782,type,
esk232_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_783,type,
esk233_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_784,type,
esk234_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_785,type,
esk235_3: ( $i * $i * $i ) > $i ).
tff(decl_786,type,
esk236_3: ( $i * $i * $i ) > $i ).
tff(decl_787,type,
esk237_3: ( $i * $i * $i ) > $i ).
tff(decl_788,type,
esk238_3: ( $i * $i * $i ) > $i ).
tff(decl_789,type,
esk239_3: ( $i * $i * $i ) > $i ).
tff(decl_790,type,
esk240_3: ( $i * $i * $i ) > $i ).
tff(decl_791,type,
esk241_3: ( $i * $i * $i ) > $i ).
tff(decl_792,type,
esk242_3: ( $i * $i * $i ) > $i ).
tff(decl_793,type,
esk243_3: ( $i * $i * $i ) > $i ).
tff(decl_794,type,
esk244_3: ( $i * $i * $i ) > $i ).
tff(decl_795,type,
esk245_3: ( $i * $i * $i ) > $i ).
tff(decl_796,type,
esk246_1: $i > $i ).
tff(decl_797,type,
esk247_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_798,type,
esk248_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_799,type,
esk249_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_800,type,
esk250_3: ( $i * $i * $i ) > $i ).
tff(decl_801,type,
esk251_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_802,type,
esk252_3: ( $i * $i * $i ) > $i ).
tff(decl_803,type,
esk253_3: ( $i * $i * $i ) > $i ).
tff(decl_804,type,
esk254_3: ( $i * $i * $i ) > $i ).
tff(decl_805,type,
esk255_3: ( $i * $i * $i ) > $i ).
tff(decl_806,type,
esk256_2: ( $i * $i ) > $i ).
tff(decl_807,type,
esk257_3: ( $i * $i * $i ) > $i ).
tff(decl_808,type,
esk258_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_809,type,
esk259_2: ( $i * $i ) > $i ).
tff(decl_810,type,
esk260_3: ( $i * $i * $i ) > $i ).
tff(decl_811,type,
esk261_3: ( $i * $i * $i ) > $i ).
tff(decl_812,type,
esk262_2: ( $i * $i ) > $i ).
tff(decl_813,type,
esk263_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_814,type,
esk264_3: ( $i * $i * $i ) > $i ).
tff(decl_815,type,
esk265_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_816,type,
esk266_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_817,type,
esk267_3: ( $i * $i * $i ) > $i ).
tff(decl_818,type,
esk268_3: ( $i * $i * $i ) > $i ).
tff(decl_819,type,
esk269_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_820,type,
esk270_3: ( $i * $i * $i ) > $i ).
tff(decl_821,type,
esk271_3: ( $i * $i * $i ) > $i ).
tff(decl_822,type,
esk272_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_823,type,
esk273_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_824,type,
esk274_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_825,type,
esk275_3: ( $i * $i * $i ) > $i ).
tff(decl_826,type,
esk276_3: ( $i * $i * $i ) > $i ).
tff(decl_827,type,
esk277_3: ( $i * $i * $i ) > $i ).
tff(decl_828,type,
esk278_2: ( $i * $i ) > $i ).
tff(decl_829,type,
esk279_3: ( $i * $i * $i ) > $i ).
tff(decl_830,type,
esk280_3: ( $i * $i * $i ) > $i ).
tff(decl_831,type,
esk281_3: ( $i * $i * $i ) > $i ).
tff(decl_832,type,
esk282_3: ( $i * $i * $i ) > $i ).
tff(decl_833,type,
esk283_3: ( $i * $i * $i ) > $i ).
tff(decl_834,type,
esk284_3: ( $i * $i * $i ) > $i ).
tff(decl_835,type,
esk285_2: ( $i * $i ) > $i ).
tff(decl_836,type,
esk286_3: ( $i * $i * $i ) > $i ).
tff(decl_837,type,
esk287_3: ( $i * $i * $i ) > $i ).
tff(decl_838,type,
esk288_3: ( $i * $i * $i ) > $i ).
tff(decl_839,type,
esk289_3: ( $i * $i * $i ) > $i ).
tff(decl_840,type,
esk290_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_841,type,
esk291_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_842,type,
esk292_11: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_843,type,
esk293_11: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_844,type,
esk294_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_845,type,
esk295_1: $i > $i ).
tff(decl_846,type,
esk296_1: $i > $i ).
tff(decl_847,type,
esk297_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_848,type,
esk298_1: $i > $i ).
tff(decl_849,type,
esk299_1: $i > $i ).
tff(decl_850,type,
esk300_3: ( $i * $i * $i ) > $i ).
tff(decl_851,type,
esk301_3: ( $i * $i * $i ) > $i ).
tff(decl_852,type,
esk302_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_853,type,
esk303_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_854,type,
esk304_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_855,type,
esk305_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_856,type,
esk306_2: ( $i * $i ) > $i ).
tff(decl_857,type,
esk307_3: ( $i * $i * $i ) > $i ).
tff(decl_858,type,
esk308_2: ( $i * $i ) > $i ).
tff(decl_859,type,
esk309_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_860,type,
esk310_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_861,type,
esk311_2: ( $i * $i ) > $i ).
tff(decl_862,type,
esk312_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_863,type,
esk313_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_864,type,
esk314_2: ( $i * $i ) > $i ).
tff(decl_865,type,
esk315_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_866,type,
esk316_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_867,type,
esk317_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_868,type,
esk318_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_869,type,
esk319_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_870,type,
esk320_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_871,type,
esk321_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_872,type,
esk322_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_873,type,
esk323_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_874,type,
esk324_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_875,type,
esk325_2: ( $i * $i ) > $i ).
tff(decl_876,type,
esk326_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_877,type,
esk327_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_878,type,
esk328_3: ( $i * $i * $i ) > $i ).
tff(decl_879,type,
esk329_3: ( $i * $i * $i ) > $i ).
tff(decl_880,type,
esk330_2: ( $i * $i ) > $i ).
tff(decl_881,type,
esk331_1: $i > $i ).
tff(decl_882,type,
esk332_3: ( $i * $i * $i ) > $i ).
tff(decl_883,type,
esk333_3: ( $i * $i * $i ) > $i ).
tff(decl_884,type,
esk334_2: ( $i * $i ) > $i ).
tff(decl_885,type,
esk335_2: ( $i * $i ) > $i ).
tff(decl_886,type,
esk336_1: $i > $i ).
tff(decl_887,type,
esk337_3: ( $i * $i * $i ) > $i ).
tff(decl_888,type,
esk338_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_889,type,
esk339_1: $i > $i ).
tff(decl_890,type,
esk340_3: ( $i * $i * $i ) > $i ).
tff(decl_891,type,
esk341_3: ( $i * $i * $i ) > $i ).
tff(decl_892,type,
esk342_3: ( $i * $i * $i ) > $i ).
tff(decl_893,type,
esk343_3: ( $i * $i * $i ) > $i ).
tff(decl_894,type,
esk344_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_895,type,
esk345_3: ( $i * $i * $i ) > $i ).
tff(decl_896,type,
esk346_3: ( $i * $i * $i ) > $i ).
tff(decl_897,type,
esk347_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_898,type,
esk348_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_899,type,
esk349_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_900,type,
esk350_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_901,type,
esk351_2: ( $i * $i ) > $i ).
tff(decl_902,type,
esk352_2: ( $i * $i ) > $i ).
tff(decl_903,type,
esk353_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_904,type,
esk354_3: ( $i * $i * $i ) > $i ).
tff(decl_905,type,
esk355_3: ( $i * $i * $i ) > $i ).
tff(decl_906,type,
esk356_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_907,type,
esk357_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_908,type,
esk358_3: ( $i * $i * $i ) > $i ).
tff(decl_909,type,
esk359_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_910,type,
esk360_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_911,type,
esk361_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_912,type,
esk362_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_913,type,
esk363_2: ( $i * $i ) > $i ).
tff(decl_914,type,
esk364_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_915,type,
esk365_3: ( $i * $i * $i ) > $i ).
tff(decl_916,type,
esk366_3: ( $i * $i * $i ) > $i ).
tff(decl_917,type,
esk367_3: ( $i * $i * $i ) > $i ).
tff(decl_918,type,
esk368_3: ( $i * $i * $i ) > $i ).
tff(decl_919,type,
esk369_3: ( $i * $i * $i ) > $i ).
tff(decl_920,type,
esk370_2: ( $i * $i ) > $i ).
tff(decl_921,type,
esk371_3: ( $i * $i * $i ) > $i ).
tff(decl_922,type,
esk372_3: ( $i * $i * $i ) > $i ).
tff(decl_923,type,
esk373_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_924,type,
esk374_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_925,type,
esk375_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_926,type,
esk376_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_927,type,
esk377_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_928,type,
esk378_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_929,type,
esk379_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_930,type,
esk380_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_931,type,
esk381_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_932,type,
esk382_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_933,type,
esk383_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_934,type,
esk384_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_935,type,
esk385_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_936,type,
esk386_2: ( $i * $i ) > $i ).
tff(decl_937,type,
esk387_3: ( $i * $i * $i ) > $i ).
tff(decl_938,type,
esk388_2: ( $i * $i ) > $i ).
tff(decl_939,type,
esk389_2: ( $i * $i ) > $i ).
tff(decl_940,type,
esk390_3: ( $i * $i * $i ) > $i ).
tff(decl_941,type,
esk391_2: ( $i * $i ) > $i ).
tff(decl_942,type,
esk392_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_943,type,
esk393_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_944,type,
esk394_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_945,type,
esk395_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_946,type,
esk396_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_947,type,
esk397_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_948,type,
esk398_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_949,type,
esk399_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_950,type,
esk400_2: ( $i * $i ) > $i ).
tff(decl_951,type,
esk401_3: ( $i * $i * $i ) > $i ).
tff(decl_952,type,
esk402_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_953,type,
esk403_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_954,type,
esk404_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_955,type,
esk405_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_956,type,
esk406_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_957,type,
esk407_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_958,type,
esk408_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_959,type,
esk409_3: ( $i * $i * $i ) > $i ).
tff(decl_960,type,
esk410_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_961,type,
esk411_3: ( $i * $i * $i ) > $i ).
tff(decl_962,type,
esk412_3: ( $i * $i * $i ) > $i ).
tff(decl_963,type,
esk413_3: ( $i * $i * $i ) > $i ).
tff(decl_964,type,
esk414_3: ( $i * $i * $i ) > $i ).
tff(decl_965,type,
esk415_0: $i ).
tff(decl_966,type,
esk416_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_967,type,
esk417_3: ( $i * $i * $i ) > $i ).
tff(decl_968,type,
esk418_1: $i > $i ).
tff(decl_969,type,
esk419_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_970,type,
esk420_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_971,type,
esk421_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_972,type,
esk422_2: ( $i * $i ) > $i ).
tff(decl_973,type,
esk423_2: ( $i * $i ) > $i ).
tff(decl_974,type,
esk424_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_975,type,
esk425_3: ( $i * $i * $i ) > $i ).
tff(decl_976,type,
esk426_3: ( $i * $i * $i ) > $i ).
tff(decl_977,type,
esk427_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_978,type,
esk428_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_979,type,
esk429_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_980,type,
esk430_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_981,type,
esk431_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_982,type,
esk432_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_983,type,
esk433_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_984,type,
esk434_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_985,type,
esk435_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_986,type,
esk436_1: $i > $i ).
tff(decl_987,type,
esk437_1: $i > $i ).
tff(decl_988,type,
esk438_2: ( $i * $i ) > $i ).
tff(decl_989,type,
esk439_3: ( $i * $i * $i ) > $i ).
tff(decl_990,type,
esk440_3: ( $i * $i * $i ) > $i ).
tff(decl_991,type,
esk441_3: ( $i * $i * $i ) > $i ).
tff(decl_992,type,
esk442_3: ( $i * $i * $i ) > $i ).
tff(decl_993,type,
esk443_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_994,type,
esk444_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_995,type,
esk445_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_996,type,
esk446_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_997,type,
esk447_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_998,type,
esk448_2: ( $i * $i ) > $i ).
tff(decl_999,type,
esk449_2: ( $i * $i ) > $i ).
tff(decl_1000,type,
esk450_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1001,type,
esk451_3: ( $i * $i * $i ) > $i ).
tff(decl_1002,type,
esk452_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1003,type,
esk453_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1004,type,
esk454_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1005,type,
esk455_3: ( $i * $i * $i ) > $i ).
tff(decl_1006,type,
esk456_3: ( $i * $i * $i ) > $i ).
tff(decl_1007,type,
esk457_2: ( $i * $i ) > $i ).
tff(decl_1008,type,
esk458_2: ( $i * $i ) > $i ).
tff(decl_1009,type,
esk459_2: ( $i * $i ) > $i ).
tff(decl_1010,type,
esk460_2: ( $i * $i ) > $i ).
tff(decl_1011,type,
esk461_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1012,type,
esk462_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1013,type,
esk463_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1014,type,
esk464_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1015,type,
esk465_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1016,type,
esk466_2: ( $i * $i ) > $i ).
tff(decl_1017,type,
esk467_2: ( $i * $i ) > $i ).
tff(decl_1018,type,
esk468_3: ( $i * $i * $i ) > $i ).
tff(decl_1019,type,
esk469_3: ( $i * $i * $i ) > $i ).
tff(decl_1020,type,
esk470_3: ( $i * $i * $i ) > $i ).
tff(decl_1021,type,
esk471_3: ( $i * $i * $i ) > $i ).
tff(decl_1022,type,
esk472_2: ( $i * $i ) > $i ).
tff(decl_1023,type,
esk473_3: ( $i * $i * $i ) > $i ).
tff(decl_1024,type,
esk474_3: ( $i * $i * $i ) > $i ).
tff(decl_1025,type,
esk475_3: ( $i * $i * $i ) > $i ).
tff(decl_1026,type,
esk476_3: ( $i * $i * $i ) > $i ).
tff(decl_1027,type,
esk477_3: ( $i * $i * $i ) > $i ).
tff(decl_1028,type,
esk478_2: ( $i * $i ) > $i ).
tff(decl_1029,type,
esk479_2: ( $i * $i ) > $i ).
tff(decl_1030,type,
esk480_3: ( $i * $i * $i ) > $i ).
tff(decl_1031,type,
esk481_3: ( $i * $i * $i ) > $i ).
tff(decl_1032,type,
esk482_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1033,type,
esk483_2: ( $i * $i ) > $i ).
tff(decl_1034,type,
esk484_2: ( $i * $i ) > $i ).
tff(decl_1035,type,
esk485_3: ( $i * $i * $i ) > $i ).
tff(decl_1036,type,
esk486_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1037,type,
esk487_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1038,type,
esk488_2: ( $i * $i ) > $i ).
tff(decl_1039,type,
esk489_2: ( $i * $i ) > $i ).
tff(decl_1040,type,
esk490_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1041,type,
esk491_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_1042,type,
esk492_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_1043,type,
esk493_2: ( $i * $i ) > $i ).
tff(decl_1044,type,
esk494_2: ( $i * $i ) > $i ).
tff(decl_1045,type,
esk495_2: ( $i * $i ) > $i ).
tff(decl_1046,type,
esk496_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1047,type,
esk497_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_1048,type,
esk498_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1049,type,
esk499_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1050,type,
esk500_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1051,type,
esk501_3: ( $i * $i * $i ) > $i ).
tff(decl_1052,type,
esk502_2: ( $i * $i ) > $i ).
tff(decl_1053,type,
esk503_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1054,type,
esk504_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1055,type,
esk505_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1056,type,
esk506_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1057,type,
esk507_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_1058,type,
esk508_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1059,type,
esk509_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1060,type,
esk510_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_1061,type,
esk511_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1062,type,
esk512_3: ( $i * $i * $i ) > $i ).
tff(decl_1063,type,
esk513_3: ( $i * $i * $i ) > $i ).
tff(decl_1064,type,
esk514_3: ( $i * $i * $i ) > $i ).
tff(decl_1065,type,
esk515_3: ( $i * $i * $i ) > $i ).
tff(decl_1066,type,
esk516_3: ( $i * $i * $i ) > $i ).
tff(decl_1067,type,
esk517_3: ( $i * $i * $i ) > $i ).
tff(decl_1068,type,
esk518_3: ( $i * $i * $i ) > $i ).
tff(decl_1069,type,
esk519_3: ( $i * $i * $i ) > $i ).
tff(decl_1070,type,
esk520_3: ( $i * $i * $i ) > $i ).
tff(decl_1071,type,
esk521_3: ( $i * $i * $i ) > $i ).
tff(decl_1072,type,
esk522_3: ( $i * $i * $i ) > $i ).
tff(decl_1073,type,
esk523_3: ( $i * $i * $i ) > $i ).
tff(decl_1074,type,
esk524_3: ( $i * $i * $i ) > $i ).
tff(decl_1075,type,
esk525_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1076,type,
esk526_3: ( $i * $i * $i ) > $i ).
tff(decl_1077,type,
esk527_2: ( $i * $i ) > $i ).
tff(decl_1078,type,
esk528_3: ( $i * $i * $i ) > $i ).
tff(decl_1079,type,
esk529_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1080,type,
esk530_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1081,type,
esk531_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1082,type,
esk532_3: ( $i * $i * $i ) > $i ).
tff(decl_1083,type,
esk533_3: ( $i * $i * $i ) > $i ).
tff(decl_1084,type,
esk534_3: ( $i * $i * $i ) > $i ).
tff(decl_1085,type,
esk535_3: ( $i * $i * $i ) > $i ).
tff(decl_1086,type,
esk536_3: ( $i * $i * $i ) > $i ).
tff(decl_1087,type,
esk537_3: ( $i * $i * $i ) > $i ).
tff(decl_1088,type,
esk538_3: ( $i * $i * $i ) > $i ).
tff(decl_1089,type,
esk539_3: ( $i * $i * $i ) > $i ).
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,
! [X18,X5] : hAPP(c_Set_OCollect(X5),X18) = X18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(help_c__COMBK__1,axiom,
! [X323,X22,X29,X5] : hAPP(hAPP(c_COMBK(X5,X29),X22),X323) = X22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBK__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_compl__bot__eq,axiom,
! [X5] :
( class_Lattices_Oboolean__algebra(X5)
=> hAPP(c_Groups_Ouminus__class_Ouminus(X5),c_Orderings_Obot__class_Obot(X5)) = c_Orderings_Otop__class_Otop(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_compl__bot__eq) ).
fof(fact_bot__fun__def,axiom,
! [X31,X29,X5] :
( class_Orderings_Obot(X5)
=> hAPP(c_Orderings_Obot__class_Obot(tc_fun(X29,X5)),X31) = c_Orderings_Obot__class_Obot(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_bot__fun__def) ).
fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Lattices_Oboolean__algebra) ).
fof(arity_HOL__Obool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Obot) ).
fof(fact_top__apply,axiom,
! [X31,X29,X5] :
( class_Orderings_Otop(X5)
=> hAPP(c_Orderings_Otop__class_Otop(tc_fun(X29,X5)),X31) = c_Orderings_Otop__class_Otop(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_top__apply) ).
fof(fact_Collect__mem__eq,axiom,
! [X30,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool),c_member(X5)),X30)) = X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__mem__eq) ).
fof(fact_sup__top__left,axiom,
! [X40,X5] :
( class_Lattices_Obounded__lattice__top(X5)
=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X5),c_Orderings_Otop__class_Otop(X5)),X40) = c_Orderings_Otop__class_Otop(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sup__top__left) ).
fof(arity_HOL__Obool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Otop) ).
fof(fact_all__not__in__conv,axiom,
! [X30,X5] :
( ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X30))
<=> X30 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_all__not__in__conv) ).
fof(help_c__COMBC__1,axiom,
! [X36,X16,X18,X5,X47,X29] : hAPP(hAPP(hAPP(c_COMBC(X29,X47,X5),X18),X16),X36) = hAPP(hAPP(X18,X36),X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBC__1) ).
fof(fact_ext,axiom,
! [X1,X2] :
( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
=> X2 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ext) ).
fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
class_Lattices_Obounded__lattice__top(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Lattices_Obounded__lattice__top) ).
fof(arity_fun__Orderings_Obot,axiom,
! [X321,X322] :
( class_Orderings_Obot(X322)
=> class_Orderings_Obot(tc_fun(X321,X322)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_fun__Orderings_Obot) ).
fof(fact_zmult__eq__1__iff,axiom,
! [X114,X100] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X100),X114) = c_Groups_Oone__class_Oone(tc_Int_Oint)
<=> ( ( X100 = c_Groups_Oone__class_Oone(tc_Int_Oint)
& X114 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
| ( X100 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
& X114 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zmult__eq__1__iff) ).
fof(fact_number__of__is__id,axiom,
! [X109] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X109) = X109,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_number__of__is__id) ).
fof(fact_diff__int__def,axiom,
! [X160,X38] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X38),X160) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X38),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X160)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__int__def) ).
fof(fact_mult__Min,axiom,
! [X109] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),X109) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X109),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__Min) ).
fof(help_c__fconj__2,axiom,
! [X16,X18] :
( ~ hBOOL(hAPP(hAPP(c_fconj,X18),X16))
| hBOOL(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fconj__2) ).
fof(fact_inf__bot__left,axiom,
! [X40,X5] :
( class_Lattices_Obounded__lattice__bot(X5)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X5),c_Orderings_Obot__class_Obot(X5)),X40) = c_Orderings_Obot__class_Obot(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_inf__bot__left) ).
fof(fact_vimage__const,axiom,
! [X29,X30,X28,X5] :
( ( hBOOL(hAPP(hAPP(c_member(X5),X28),X30))
=> hAPP(c_Set_Ovimage(X29,X5,hAPP(c_COMBK(X5,X29),X28)),X30) = c_Orderings_Otop__class_Otop(tc_fun(X29,tc_HOL_Obool)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X5),X28),X30))
=> hAPP(c_Set_Ovimage(X29,X5,hAPP(c_COMBK(X5,X29),X28)),X30) = c_Orderings_Obot__class_Obot(tc_fun(X29,tc_HOL_Obool)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_vimage__const) ).
fof(fact_vimage__Collect__eq,axiom,
! [X18,X2,X29,X5] : hAPP(c_Set_Ovimage(X5,X29,X2),hAPP(c_Set_OCollect(X29),X18)) = hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(X29,tc_HOL_Obool,X5),X18),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_vimage__Collect__eq) ).
fof(fact_leD,axiom,
! [X40,X39,X5] :
( class_Orderings_Olinorder(X5)
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X5),X39),X40))
=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X5),X40),X39)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_leD) ).
fof(fact_zless__add1__eq,axiom,
! [X37,X129] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X129),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X37),c_Groups_Oone__class_Oone(tc_Int_Oint))))
<=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X129),X37))
| X129 = X37 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zless__add1__eq) ).
fof(fact_equal__int__def,axiom,
! [X157,X106] :
( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X106),X157))
<=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X106),X157) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_equal__int__def) ).
fof(fact_eq__equal,axiom,
! [X5] :
( class_HOL_Oequal(X5)
=> c_fequal = c_HOL_Oequal__class_Oequal(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__equal) ).
fof(fact_singleton__conv2,axiom,
! [X6,X5] : hAPP(c_Set_OCollect(X5),hAPP(c_fequal,X6)) = hAPP(hAPP(c_Set_Oinsert(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_singleton__conv2) ).
fof(fact_bot2E,axiom,
! [X34,X31,X29,X5] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_fun(X29,tc_HOL_Obool))),X31),X34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_bot2E) ).
fof(fact_UNIV__not__empty,axiom,
! [X5] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_UNIV__not__empty) ).
fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Lattices_Obounded__lattice__bot) ).
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(arity_Int__Oint__HOL_Oequal,axiom,
class_HOL_Oequal(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__HOL_Oequal) ).
fof(fact_o__apply,axiom,
! [X31,X1,X2,X47,X5,X29] : hAPP(hAPP(c_Fun_Ocomp(X29,X5,X47,X2),X1),X31) = hAPP(X2,hAPP(X1,X31)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_o__apply) ).
fof(fact_singleton__conv,axiom,
! [X6,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBC(X5,X5,tc_HOL_Obool),c_fequal),X6)) = hAPP(hAPP(c_Set_Oinsert(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_singleton__conv) ).
fof(fact_quotient__is__empty,axiom,
! [X87,X30,X5] :
( hAPP(hAPP(c_Equiv__Relations_Oquotient(X5),X30),X87) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool))
<=> X30 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_quotient__is__empty) ).
fof(fact_Integ__def,axiom,
c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Int_Ointrel),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Integ__def) ).
fof(fact_Un__empty__right,axiom,
! [X30,X5] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),X30),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Un__empty__right) ).
fof(arity_Int__Oint__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Orderings_Olinorder) ).
fof(fact_zero__zle__int,axiom,
! [X108] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X108))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__zle__int) ).
fof(fact_int__of__def,axiom,
c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_int__of__def) ).
fof(fact_nat__of__of__nat,axiom,
! [X108] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,X108)) = X108,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__of__of__nat) ).
fof(fact_empty__not__insert,axiom,
! [X30,X6,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X5),X6),X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_empty__not__insert) ).
fof(fact_Collect__neg__eq,axiom,
! [X18,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X18)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__neg__eq) ).
fof(help_c__COMBB__1,axiom,
! [X36,X16,X18,X47,X5,X29] : hAPP(hAPP(hAPP(c_COMBB(X29,X5,X47),X18),X16),X36) = hAPP(X18,hAPP(X16,X36)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(fact_equivp__def,axiom,
! [X36,X5] :
( c_Equiv__Relations_Oequivp(X5,X36)
<=> ! [X3,X93] :
( hBOOL(hAPP(hAPP(X36,X3),X93))
<=> hAPP(X36,X3) = hAPP(X36,X93) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_equivp__def) ).
fof(fact_identity__equivp,axiom,
! [X5] : c_Equiv__Relations_Oequivp(X5,c_fequal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_identity__equivp) ).
fof(fact_Collect__empty__eq,axiom,
! [X18,X5] :
( hAPP(c_Set_OCollect(X5),X18) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X18,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__empty__eq) ).
fof(fact_image__insert,axiom,
! [X32,X6,X2,X5,X29] : hAPP(c_Set_Oimage(X29,X5,X2),hAPP(hAPP(c_Set_Oinsert(X29),X6),X32)) = hAPP(hAPP(c_Set_Oinsert(X5),hAPP(X2,X6)),hAPP(c_Set_Oimage(X29,X5,X2),X32)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_image__insert) ).
fof(fact_insert__absorb,axiom,
! [X30,X6,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X6),X30))
=> hAPP(hAPP(c_Set_Oinsert(X5),X6),X30) = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__absorb) ).
fof(fact_double__complement,axiom,
! [X30,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)),X30)) = X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_double__complement) ).
fof(help_c__fNot__2,axiom,
! [X18] :
( ~ ~ hBOOL(X18)
| hBOOL(hAPP(c_fNot,X18)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fNot__2) ).
fof(fact_Compl__UNIV__eq,axiom,
! [X5] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Compl__UNIV__eq) ).
fof(fact_Cantors__paradox,axiom,
! [X30,X5] :
~ ? [X175] : hAPP(c_Set_Oimage(X5,tc_fun(X5,tc_HOL_Obool),X175),X30) = hAPP(c_Set_OPow(X5),X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Cantors__paradox) ).
fof(fact_Pow__UNIV,axiom,
! [X5] : hAPP(c_Set_OPow(X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Pow__UNIV) ).
fof(fact_quotient__def,axiom,
! [X87,X30,X5] : hAPP(hAPP(c_Equiv__Relations_Oquotient(X5),X30),X87) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,tc_fun(tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool)),X30),hAPP(hAPP(c_COMBC(X5,tc_fun(tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool)),X5),c_Set_Oinsert(tc_fun(X5,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool),X5),c_Relation_OImage(X5,X5,X87)),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool)),c_Set_Oinsert(X5)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_quotient__def) ).
fof(fact_image__eq__UN,axiom,
! [X30,X2,X5,X29] : hAPP(c_Set_Oimage(X29,X5,X2),X30) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X29,tc_fun(X5,tc_HOL_Obool)),X30),hAPP(hAPP(c_COMBC(X29,tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X5,tc_fun(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool)),X29),c_Set_Oinsert(X5)),X2)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_image__eq__UN) ).
fof(fact_zero__less__imp__eq__int,axiom,
! [X109] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X109))
=> ? [X148] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X148))
& X109 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X148) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__imp__eq__int) ).
fof(fact_ex__nat,axiom,
! [X18] :
( ? [X171] : hBOOL(hAPP(X18,X171))
<=> ? [X3] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
& hBOOL(hAPP(X18,hAPP(c_Int_Onat,X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ex__nat) ).
fof(fact_finite,axiom,
! [X30,X5] :
( class_Finite__Set_Ofinite(X5)
=> hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X30)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite) ).
fof(fact_nat__of__inverse,axiom,
! [X40] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,X40)) = X40,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__of__inverse) ).
fof(fact_nat__int,axiom,
! [X108] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X108)) = X108,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__int) ).
fof(fact_transfer__int__nat__set__return__embed,axiom,
! [X30] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X30)) = X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_transfer__int__nat__set__return__embed) ).
fof(fact_image__image,axiom,
! [X30,X1,X47,X2,X5,X29] : hAPP(c_Set_Oimage(X29,X5,X2),hAPP(c_Set_Oimage(X47,X29,X1),X30)) = hAPP(c_Set_Oimage(X47,X5,hAPP(hAPP(c_COMBB(X29,X5,X47),X2),X1)),X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_image__image) ).
fof(fact_rev__rev__ident,axiom,
! [X250,X5] : hAPP(c_List_Orev(X5),hAPP(c_List_Orev(X5),X250)) = X250,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rev__rev__ident) ).
fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
class_Finite__Set_Ofinite(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Finite__Set_Ofinite) ).
fof(fact_in__measures_I1_J,axiom,
! [X34,X31,X5] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X5)),hAPP(hAPP(c_Product__Type_OPair(X5,X5),X31),X34)),c_List_Omeasures(X5,c_List_Olist_ONil(tc_fun(X5,tc_Nat_Onat))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_in__measures_I1_J) ).
fof(fact_finite__dom__map__of,axiom,
! [X157,X29,X5] : hBOOL(hAPP(c_Finite__Set_Ofinite(X5),c_Map_Odom(X5,X29,hAPP(c_Map_Omap__of(X5,X29),X157)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__dom__map__of) ).
fof(fact_surjective__pairing,axiom,
! [X29,X5,X46] : X46 = hAPP(hAPP(c_Product__Type_OPair(X5,X29),hAPP(c_Product__Type_Ofst(X5,X29),X46)),hAPP(c_Product__Type_Osnd(X5,X29),X46)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_surjective__pairing) ).
fof(help_c__fFalse__1,axiom,
~ hBOOL(c_fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fFalse__1) ).
fof(c_0_72,plain,
! [X7102] : c_Orderings_Obot__class_Obot(tc_fun(X7102,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X7102),hAPP(c_COMBK(tc_HOL_Obool,X7102),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_73,plain,
! [X7089,X7090] : hAPP(c_Set_OCollect(X7090),X7089) = X7089,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_74,plain,
! [X17645,X17646,X17647,X17648] : hAPP(hAPP(c_COMBK(X17648,X17647),X17646),X17645) = X17646,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_75,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_72]) ).
cnf(c_0_76,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_77,plain,
! [X7109] : c_Orderings_Otop__class_Otop(tc_fun(X7109,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X7109),hAPP(c_COMBK(tc_HOL_Obool,X7109),c_fTrue)),
inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).
fof(c_0_78,plain,
! [X7848] :
( ~ class_Lattices_Oboolean__algebra(X7848)
| hAPP(c_Groups_Ouminus__class_Ouminus(X7848),c_Orderings_Obot__class_Obot(X7848)) = c_Orderings_Otop__class_Otop(X7848) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_compl__bot__eq])]) ).
fof(c_0_79,plain,
! [X407,X408,X409] :
( ~ class_Orderings_Obot(X409)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(X408,X409)),X407) = c_Orderings_Obot__class_Obot(X409) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bot__fun__def])]) ).
cnf(c_0_80,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,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_75,c_0_76]) ).
cnf(c_0_82,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_77]) ).
cnf(c_0_83,plain,
( hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_84,plain,
class_Lattices_Oboolean__algebra(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Lattices_Oboolean__algebra]) ).
cnf(c_0_85,plain,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,X1)),X3) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_86,plain,
class_Orderings_Obot(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Obot]) ).
cnf(c_0_87,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_88,plain,
! [X2867,X2868,X2869] :
( ~ class_Orderings_Otop(X2869)
| hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2868,X2869)),X2867) = c_Orderings_Otop__class_Otop(X2869) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_top__apply])]) ).
cnf(c_0_89,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_82,c_0_76]) ).
cnf(c_0_90,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_HOL_Obool)) = c_Orderings_Otop__class_Otop(tc_HOL_Obool),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,plain,
c_Orderings_Obot__class_Obot(tc_HOL_Obool) = c_fFalse,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
fof(c_0_92,plain,
! [X7091,X7092] : hAPP(c_Set_OCollect(X7092),hAPP(hAPP(c_COMBC(X7092,tc_fun(X7092,tc_HOL_Obool),tc_HOL_Obool),c_member(X7092)),X7091)) = X7091,
inference(variable_rename,[status(thm)],[fact_Collect__mem__eq]) ).
fof(c_0_93,plain,
! [X3012,X3013] :
( ~ class_Lattices_Obounded__lattice__top(X3013)
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X3013),c_Orderings_Otop__class_Otop(X3013)),X3012) = c_Orderings_Otop__class_Otop(X3013) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sup__top__left])]) ).
cnf(c_0_94,plain,
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,X1)),X3) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Orderings_Otop(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_95,plain,
class_Orderings_Otop(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Otop]) ).
cnf(c_0_96,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = c_fTrue,
inference(spm,[status(thm)],[c_0_80,c_0_89]) ).
cnf(c_0_97,plain,
c_Orderings_Otop__class_Otop(tc_HOL_Obool) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_HOL_Obool),c_fFalse),
inference(rw,[status(thm)],[c_0_90,c_0_91]) ).
fof(c_0_98,plain,
! [X30,X5] :
( ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X30))
<=> X30 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
inference(fof_simplification,[status(thm)],[fact_all__not__in__conv]) ).
fof(c_0_99,plain,
! [X17655,X17656,X17657,X17658,X17659,X17660] : hAPP(hAPP(hAPP(c_COMBC(X17660,X17659,X17658),X17657),X17656),X17655) = hAPP(hAPP(X17657,X17655),X17656),
inference(variable_rename,[status(thm)],[help_c__COMBC__1]) ).
cnf(c_0_100,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_101,plain,
! [X324,X325] :
( hAPP(X325,esk1_2(X324,X325)) != hAPP(X324,esk1_2(X324,X325))
| X325 = X324 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ext])])]) ).
cnf(c_0_102,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice__top(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_103,plain,
class_Lattices_Obounded__lattice__top(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Lattices_Obounded__lattice__top]) ).
cnf(c_0_104,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_HOL_Obool),c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97]) ).
fof(c_0_105,plain,
! [X17605,X17606] :
( ~ class_Orderings_Obot(X17606)
| class_Orderings_Obot(tc_fun(X17605,X17606)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Orderings_Obot])]) ).
fof(c_0_106,plain,
! [X10334,X10335] :
( ( X10335 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
| X10335 = c_Groups_Oone__class_Oone(tc_Int_Oint)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X10335),X10334) != c_Groups_Oone__class_Oone(tc_Int_Oint) )
& ( X10334 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
| X10335 = c_Groups_Oone__class_Oone(tc_Int_Oint)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X10335),X10334) != c_Groups_Oone__class_Oone(tc_Int_Oint) )
& ( X10335 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
| X10334 = c_Groups_Oone__class_Oone(tc_Int_Oint)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X10335),X10334) != c_Groups_Oone__class_Oone(tc_Int_Oint) )
& ( X10334 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
| X10334 = c_Groups_Oone__class_Oone(tc_Int_Oint)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X10335),X10334) != c_Groups_Oone__class_Oone(tc_Int_Oint) )
& ( X10335 != c_Groups_Oone__class_Oone(tc_Int_Oint)
| X10334 != c_Groups_Oone__class_Oone(tc_Int_Oint)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X10335),X10334) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
& ( X10335 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
| X10334 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X10335),X10334) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmult__eq__1__iff])])]) ).
fof(c_0_107,plain,
! [X9881] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X9881) = X9881,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_108,plain,
! [X8218,X8219] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X8219),X8218) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X8219),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X8218)),
inference(variable_rename,[status(thm)],[fact_diff__int__def]) ).
fof(c_0_109,plain,
! [X10314] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),X10314) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X10314),
inference(variable_rename,[status(thm)],[fact_mult__Min]) ).
fof(c_0_110,plain,
! [X16,X18] :
( ~ hBOOL(hAPP(hAPP(c_fconj,X18),X16))
| hBOOL(X18) ),
inference(fof_simplification,[status(thm)],[help_c__fconj__2]) ).
fof(c_0_111,plain,
! [X470,X471,X473,X474,X475] :
( ( hBOOL(hAPP(hAPP(c_member(X471),esk3_2(X470,X471)),X470))
| X470 = c_Orderings_Obot__class_Obot(tc_fun(X471,tc_HOL_Obool)) )
& ( X473 != c_Orderings_Obot__class_Obot(tc_fun(X474,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X474),X475),X473)) ) ),
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_98])])])])]) ).
cnf(c_0_112,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_113,plain,
hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = X2,
inference(rw,[status(thm)],[c_0_100,c_0_76]) ).
cnf(c_0_114,plain,
( X1 = X2
| hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_115,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue),X1) = c_fTrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_97]),c_0_104]),c_0_97]),c_0_104]) ).
fof(c_0_116,plain,
! [X1661,X1662] :
( ~ class_Lattices_Obounded__lattice__bot(X1662)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1662),c_Orderings_Obot__class_Obot(X1662)),X1661) = c_Orderings_Obot__class_Obot(X1662) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inf__bot__left])]) ).
cnf(c_0_117,plain,
( class_Orderings_Obot(tc_fun(X2,X1))
| ~ class_Orderings_Obot(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
fof(c_0_118,plain,
! [X29,X30,X28,X5] :
( ( hBOOL(hAPP(hAPP(c_member(X5),X28),X30))
=> hAPP(c_Set_Ovimage(X29,X5,hAPP(c_COMBK(X5,X29),X28)),X30) = c_Orderings_Otop__class_Otop(tc_fun(X29,tc_HOL_Obool)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X5),X28),X30))
=> hAPP(c_Set_Ovimage(X29,X5,hAPP(c_COMBK(X5,X29),X28)),X30) = c_Orderings_Obot__class_Obot(tc_fun(X29,tc_HOL_Obool)) ) ),
inference(fof_simplification,[status(thm)],[fact_vimage__const]) ).
fof(c_0_119,plain,
! [X7116,X7117,X7118,X7119] : hAPP(c_Set_Ovimage(X7119,X7118,X7117),hAPP(c_Set_OCollect(X7118),X7116)) = hAPP(c_Set_OCollect(X7119),hAPP(hAPP(c_COMBB(X7118,tc_HOL_Obool,X7119),X7116),X7117)),
inference(variable_rename,[status(thm)],[fact_vimage__Collect__eq]) ).
fof(c_0_120,plain,
! [X40,X39,X5] :
( class_Orderings_Olinorder(X5)
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X5),X39),X40))
=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X5),X40),X39)) ) ),
inference(fof_simplification,[status(thm)],[fact_leD]) ).
fof(c_0_121,plain,
! [X5756,X5757] :
( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X5757),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5756),c_Groups_Oone__class_Oone(tc_Int_Oint))))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X5757),X5756))
| X5757 = X5756 )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X5757),X5756))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X5757),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5756),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
& ( X5757 != X5756
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X5757),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5756),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zless__add1__eq])])]) ).
cnf(c_0_122,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
| X1 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
| X2 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_123,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_124,plain,
hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_125,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
fof(c_0_126,plain,
! [X17318,X17319] :
( ( ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X17319),X17318))
| hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X17319),X17318) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
& ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X17319),X17318) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X17319),X17318)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_equal__int__def])]) ).
fof(c_0_127,plain,
! [X17289] :
( ~ class_HOL_Oequal(X17289)
| c_fequal = c_HOL_Oequal__class_Oequal(X17289) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__equal])]) ).
fof(c_0_128,plain,
! [X7144,X7145] : hAPP(c_Set_OCollect(X7145),hAPP(c_fequal,X7144)) = hAPP(hAPP(c_Set_Oinsert(X7145),X7144),c_Orderings_Obot__class_Obot(tc_fun(X7145,tc_HOL_Obool))),
inference(variable_rename,[status(thm)],[fact_singleton__conv2]) ).
fof(c_0_129,plain,
! [X34,X31,X29,X5] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_fun(X29,tc_HOL_Obool))),X31),X34)),
inference(fof_simplification,[status(thm)],[fact_bot2E]) ).
fof(c_0_130,plain,
! [X17675,X17676] :
( ~ hBOOL(hAPP(hAPP(c_fconj,X17676),X17675))
| hBOOL(X17676) ),
inference(variable_rename,[status(thm)],[c_0_110]) ).
cnf(c_0_131,plain,
( hBOOL(hAPP(hAPP(c_member(X1),esk3_2(X2,X1)),X2))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_132,plain,
hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_133,plain,
( hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue) = X1
| hAPP(X1,esk1_2(X1,hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue))) != c_fTrue ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
fof(c_0_134,plain,
! [X2920] : c_Orderings_Otop__class_Otop(tc_fun(X2920,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(X2920,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_UNIV__not__empty]) ).
cnf(c_0_135,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice__bot(X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_136,plain,
class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Lattices_Obounded__lattice__bot]) ).
cnf(c_0_137,plain,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,X3))),X4) = c_Orderings_Obot__class_Obot(tc_fun(X2,X3))
| ~ class_Orderings_Obot(X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_117]) ).
fof(c_0_138,plain,
! [X3157,X3158,X3159,X3160] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X3160),X3159),X3158))
| hAPP(c_Set_Ovimage(X3157,X3160,hAPP(c_COMBK(X3160,X3157),X3159)),X3158) = c_Orderings_Otop__class_Otop(tc_fun(X3157,tc_HOL_Obool)) )
& ( hBOOL(hAPP(hAPP(c_member(X3160),X3159),X3158))
| hAPP(c_Set_Ovimage(X3157,X3160,hAPP(c_COMBK(X3160,X3157),X3159)),X3158) = c_Orderings_Obot__class_Obot(tc_fun(X3157,tc_HOL_Obool)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_118])]) ).
cnf(c_0_139,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_119]) ).
fof(c_0_140,plain,
! [X4452,X4453,X4454] :
( ~ class_Orderings_Olinorder(X4454)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X4454),X4453),X4452))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X4454),X4452),X4453)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])]) ).
cnf(c_0_141,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_142,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),c_Int_OMin),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123]),c_0_123])])]) ).
cnf(c_0_143,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),X2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2),
inference(rw,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_144,plain,
( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_145,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
cnf(c_0_146,plain,
( c_fequal = c_HOL_Oequal__class_Oequal(X1)
| ~ class_HOL_Oequal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_147,plain,
class_HOL_Oequal(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__HOL_Oequal]) ).
fof(c_0_148,plain,
! [X965,X966,X967,X968,X969,X970] : hAPP(hAPP(c_Fun_Ocomp(X970,X969,X968,X967),X966),X965) = hAPP(X967,hAPP(X966,X965)),
inference(variable_rename,[status(thm)],[fact_o__apply]) ).
fof(c_0_149,plain,
! [X7142,X7143] : hAPP(c_Set_OCollect(X7143),hAPP(hAPP(c_COMBC(X7143,X7143,tc_HOL_Obool),c_fequal),X7142)) = hAPP(hAPP(c_Set_Oinsert(X7143),X7142),c_Orderings_Obot__class_Obot(tc_fun(X7143,tc_HOL_Obool))),
inference(variable_rename,[status(thm)],[fact_singleton__conv]) ).
cnf(c_0_150,plain,
hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
fof(c_0_151,plain,
! [X10548,X10549,X10550,X10551] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X10551,tc_fun(X10550,tc_HOL_Obool))),X10549),X10548)),
inference(variable_rename,[status(thm)],[c_0_129]) ).
cnf(c_0_152,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP(hAPP(c_fconj,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_153,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk3_2(X1,X2))) ),
inference(rw,[status(thm)],[c_0_131,c_0_132]) ).
fof(c_0_154,plain,
! [X9549,X9550,X9551] :
( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(X9551),X9550),X9549) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X9551,tc_HOL_Obool),tc_HOL_Obool))
| X9550 = c_Orderings_Obot__class_Obot(tc_fun(X9551,tc_HOL_Obool)) )
& ( X9550 != c_Orderings_Obot__class_Obot(tc_fun(X9551,tc_HOL_Obool))
| hAPP(hAPP(c_Equiv__Relations_Oquotient(X9551),X9550),X9549) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X9551,tc_HOL_Obool),tc_HOL_Obool)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_quotient__is__empty])]) ).
cnf(c_0_155,plain,
c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Int_Ointrel),
inference(split_conjunct,[status(thm)],[fact_Integ__def]) ).
cnf(c_0_156,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue),
inference(spm,[status(thm)],[c_0_133,c_0_96]) ).
cnf(c_0_157,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_158,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hAPP(X1,esk1_2(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),X1)) != c_fFalse ),
inference(spm,[status(thm)],[c_0_114,c_0_87]) ).
cnf(c_0_159,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),c_fFalse),X1) = c_fFalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_91]),c_0_91]) ).
cnf(c_0_160,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_137,c_0_86]) ).
cnf(c_0_161,plain,
( hAPP(c_Set_Ovimage(X4,X1,hAPP(c_COMBK(X1,X4),X2)),X3) = c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_162,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_139,c_0_76]),c_0_76]) ).
fof(c_0_163,plain,
! [X715,X716] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X716,tc_HOL_Obool)),X715),c_Orderings_Obot__class_Obot(tc_fun(X716,tc_HOL_Obool))) = X715,
inference(variable_rename,[status(thm)],[fact_Un__empty__right]) ).
cnf(c_0_164,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_165,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Int_OMin))),
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142]),c_0_143])]) ).
cnf(c_0_166,plain,
class_Orderings_Olinorder(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Olinorder]) ).
cnf(c_0_167,plain,
( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2) = c_Int_OPls
| ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),X2)) ),
inference(rw,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_168,plain,
c_HOL_Oequal__class_Oequal(tc_Int_Oint) = c_fequal,
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
fof(c_0_169,plain,
! [X5701] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X5701))),
inference(variable_rename,[status(thm)],[fact_zero__zle__int]) ).
cnf(c_0_170,plain,
hAPP(hAPP(c_Fun_Ocomp(X1,X2,X3,X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_171,plain,
c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of),
inference(split_conjunct,[status(thm)],[fact_int__of__def]) ).
fof(c_0_172,plain,
! [X15482] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,X15482)) = X15482,
inference(variable_rename,[status(thm)],[fact_nat__of__of__nat]) ).
cnf(c_0_173,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_174,plain,
hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fequal,X2),
inference(rw,[status(thm)],[c_0_150,c_0_76]) ).
fof(c_0_175,plain,
! [X691,X692,X693] : c_Orderings_Obot__class_Obot(tc_fun(X693,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X693),X692),X691),
inference(variable_rename,[status(thm)],[fact_empty__not__insert]) ).
cnf(c_0_176,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4)),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_177,plain,
( hAPP(c_fconj,X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_178,plain,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_179,plain,
hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue)),c_Int_Ointrel) = c_Int_OInteg,
inference(rw,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_180,plain,
hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_157,c_0_156]) ).
cnf(c_0_181,plain,
hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),c_fFalse) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_182,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))
| hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
inference(spm,[status(thm)],[c_0_153,c_0_160]) ).
fof(c_0_183,plain,
! [X7759,X7760] : hAPP(c_Set_OCollect(X7760),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X7760),c_fNot),X7759)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7760,tc_HOL_Obool)),hAPP(c_Set_OCollect(X7760),X7759)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_184,plain,
! [X17649,X17650,X17651,X17652,X17653,X17654] : hAPP(hAPP(hAPP(c_COMBB(X17654,X17653,X17652),X17651),X17650),X17649) = hAPP(X17651,hAPP(X17650,X17649)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_185,plain,
( hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),hAPP(c_COMBK(X1,X2),X4)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X3)) ),
inference(rw,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_186,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = X2,
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_187,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_158,c_0_87]) ).
cnf(c_0_188,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Int_OMin)),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166])]) ).
cnf(c_0_189,plain,
( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2) = c_Int_OPls
| ~ hBOOL(hAPP(hAPP(c_fequal,X1),X2)) ),
inference(rw,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_190,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_191,plain,
hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Code__Numeral_Onat__of,X1)) = hAPP(c_Code__Numeral_Oint__of,X1),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_192,plain,
hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_193,plain,
hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),X2) = hAPP(c_fequal,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_76]),c_0_174]) ).
fof(c_0_194,plain,
! [X11186,X11187,X11188,X11189,X11190,X11191,X11192,X11195] :
( ( ~ hBOOL(hAPP(hAPP(X11186,X11188),X11189))
| hAPP(X11186,X11188) = hAPP(X11186,X11189)
| ~ c_Equiv__Relations_Oequivp(X11187,X11186) )
& ( hAPP(X11186,X11190) != hAPP(X11186,X11191)
| hBOOL(hAPP(hAPP(X11186,X11190),X11191))
| ~ c_Equiv__Relations_Oequivp(X11187,X11186) )
& ( ~ hBOOL(hAPP(hAPP(X11192,esk295_1(X11192)),esk296_1(X11192)))
| hAPP(X11192,esk295_1(X11192)) != hAPP(X11192,esk296_1(X11192))
| c_Equiv__Relations_Oequivp(X11195,X11192) )
& ( hBOOL(hAPP(hAPP(X11192,esk295_1(X11192)),esk296_1(X11192)))
| hAPP(X11192,esk295_1(X11192)) = hAPP(X11192,esk296_1(X11192))
| c_Equiv__Relations_Oequivp(X11195,X11192) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_equivp__def])])])])])]) ).
fof(c_0_195,plain,
! [X11185] : c_Equiv__Relations_Oequivp(X11185,c_fequal),
inference(variable_rename,[status(thm)],[fact_identity__equivp]) ).
fof(c_0_196,plain,
! [X18,X5] :
( hAPP(c_Set_OCollect(X5),X18) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X18,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
cnf(c_0_197,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_198,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_fconj,c_fFalse),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_160]),c_0_87]) ).
fof(c_0_199,plain,
! [X719,X720,X721,X722,X723] : hAPP(c_Set_Oimage(X723,X722,X721),hAPP(hAPP(c_Set_Oinsert(X723),X720),X719)) = hAPP(hAPP(c_Set_Oinsert(X722),hAPP(X721,X720)),hAPP(c_Set_Oimage(X723,X722,X721),X719)),
inference(variable_rename,[status(thm)],[fact_image__insert]) ).
fof(c_0_200,plain,
! [X476,X477,X478] :
( ~ hBOOL(hAPP(hAPP(c_member(X478),X477),X476))
| hAPP(hAPP(c_Set_Oinsert(X478),X477),X476) = X476 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__absorb])]) ).
cnf(c_0_201,plain,
hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),c_fFalse) != c_Int_OInteg,
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_181]) ).
cnf(c_0_202,plain,
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))
| ~ hBOOL(hAPP(c_fFalse,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_182]),c_0_87]) ).
fof(c_0_203,plain,
! [X7382,X7383] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7383,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7383,tc_HOL_Obool)),X7382)) = X7382,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_204,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_183]) ).
cnf(c_0_205,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_206,plain,
( hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),hAPP(c_COMBK(X1,X2),X4)) = hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue)
| ~ hBOOL(hAPP(X3,X4)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_156]),c_0_132]) ).
cnf(c_0_207,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))) = X2,
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
fof(c_0_208,plain,
! [X18] :
( hBOOL(X18)
| hBOOL(hAPP(c_fNot,X18)) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__2]) ).
fof(c_0_209,plain,
! [X7875] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7875,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X7875,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X7875,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__UNIV__eq]) ).
fof(c_0_210,plain,
! [X8968,X8969,X8970] : hAPP(c_Set_Oimage(X8969,tc_fun(X8969,tc_HOL_Obool),X8970),X8968) != hAPP(c_Set_OPow(X8969),X8968),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Cantors__paradox])]) ).
fof(c_0_211,plain,
! [X9070] : hAPP(c_Set_OPow(X9070),c_Orderings_Otop__class_Otop(tc_fun(X9070,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X9070,tc_HOL_Obool),tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Pow__UNIV]) ).
fof(c_0_212,plain,
! [X9622,X9623,X9624] : hAPP(hAPP(c_Equiv__Relations_Oquotient(X9624),X9623),X9622) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X9624,tc_fun(tc_fun(X9624,tc_HOL_Obool),tc_HOL_Obool)),X9623),hAPP(hAPP(c_COMBC(X9624,tc_fun(tc_fun(X9624,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X9624,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X9624,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(X9624,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X9624,tc_HOL_Obool),tc_HOL_Obool)),X9624),c_Set_Oinsert(tc_fun(X9624,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X9624,tc_HOL_Obool),tc_fun(X9624,tc_HOL_Obool),X9624),c_Relation_OImage(X9624,X9624,X9622)),hAPP(hAPP(c_COMBC(X9624,tc_fun(X9624,tc_HOL_Obool),tc_fun(X9624,tc_HOL_Obool)),c_Set_Oinsert(X9624)),c_Orderings_Obot__class_Obot(tc_fun(X9624,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X9624,tc_HOL_Obool),tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[fact_quotient__def]) ).
fof(c_0_213,plain,
! [X2203,X2204,X2205,X2206] : hAPP(c_Set_Oimage(X2206,X2205,X2204),X2203) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2206,tc_fun(X2205,tc_HOL_Obool)),X2203),hAPP(hAPP(c_COMBC(X2206,tc_fun(X2205,tc_HOL_Obool),tc_fun(X2205,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X2205,tc_fun(tc_fun(X2205,tc_HOL_Obool),tc_fun(X2205,tc_HOL_Obool)),X2206),c_Set_Oinsert(X2205)),X2204)),c_Orderings_Obot__class_Obot(tc_fun(X2205,tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[fact_image__eq__UN]) ).
cnf(c_0_214,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),X1))
| ~ hBOOL(hAPP(hAPP(c_fequal,X1),c_Int_OMin)) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_215,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))),
inference(rw,[status(thm)],[c_0_190,c_0_145]) ).
cnf(c_0_216,plain,
hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) = hAPP(c_Code__Numeral_Oint__of,hAPP(c_Code__Numeral_Oof__nat,X1)),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_217,plain,
hAPP(hAPP(c_fequal,X1),X2) = hAPP(hAPP(c_fequal,X2),X1),
inference(spm,[status(thm)],[c_0_112,c_0_193]) ).
cnf(c_0_218,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Equiv__Relations_Oequivp(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_219,plain,
c_Equiv__Relations_Oequivp(X1,c_fequal),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
fof(c_0_220,plain,
! [X6578] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk183_1(X6578)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X6578)) )
& ( X6578 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk183_1(X6578))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X6578)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__imp__eq__int])])])]) ).
fof(c_0_221,plain,
! [X6298,X6299,X6301,X6302] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk147_1(X6298)))
| ~ hBOOL(hAPP(X6298,X6299)) )
& ( hBOOL(hAPP(X6298,hAPP(c_Int_Onat,esk147_1(X6298))))
| ~ hBOOL(hAPP(X6298,X6299)) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X6302))
| ~ hBOOL(hAPP(X6301,hAPP(c_Int_Onat,X6302)))
| hBOOL(hAPP(X6301,esk148_1(X6301))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ex__nat])])])])])]) ).
fof(c_0_222,plain,
! [X7083,X7084,X7085,X7086,X7088] :
( ( hAPP(c_Set_OCollect(X7084),X7083) != c_Orderings_Obot__class_Obot(tc_fun(X7084,tc_HOL_Obool))
| ~ hBOOL(hAPP(X7083,X7085)) )
& ( hBOOL(hAPP(X7086,esk206_1(X7086)))
| hAPP(c_Set_OCollect(X7088),X7086) = c_Orderings_Obot__class_Obot(tc_fun(X7088,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_196])])])])]) ).
cnf(c_0_223,plain,
hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) != hAPP(c_fconj,c_fFalse),
inference(rw,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_224,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5)) = hAPP(hAPP(c_Set_Oinsert(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5)),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_225,plain,
( hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_226,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != c_Int_OInteg,
inference(spm,[status(thm)],[c_0_201,c_0_181]) ).
cnf(c_0_227,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = c_fFalse
| hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
inference(spm,[status(thm)],[c_0_202,c_0_153]) ).
cnf(c_0_228,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_203]) ).
cnf(c_0_229,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_204,c_0_76]),c_0_76]) ).
cnf(c_0_230,plain,
( hAPP(X1,X2) = c_fTrue
| ~ hBOOL(hAPP(X1,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_115]),c_0_80]) ).
cnf(c_0_231,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_fconj,c_fFalse)) = X2,
inference(rw,[status(thm)],[c_0_207,c_0_198]) ).
fof(c_0_232,plain,
! [X17672] :
( hBOOL(X17672)
| hBOOL(hAPP(c_fNot,X17672)) ),
inference(variable_rename,[status(thm)],[c_0_208]) ).
cnf(c_0_233,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_234,plain,
hAPP(c_Set_Oimage(X1,tc_fun(X1,tc_HOL_Obool),X2),X3) != hAPP(c_Set_OPow(X1),X3),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_235,plain,
hAPP(c_Set_OPow(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_236,plain,
hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X2),X3) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X1),c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X1),c_Relation_OImage(X1,X1,X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_212]) ).
cnf(c_0_237,plain,
hAPP(c_Set_Oimage(X1,X2,X3),X4) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X4),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X2,tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Set_Oinsert(X2)),X3)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_213]) ).
fof(c_0_238,plain,
! [X1154,X1155] :
( ~ class_Finite__Set_Ofinite(X1155)
| hBOOL(hAPP(c_Finite__Set_Ofinite(X1155),X1154)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite])]) ).
cnf(c_0_239,plain,
~ hBOOL(hAPP(hAPP(c_fequal,c_Int_OMin),hAPP(c_Code__Numeral_Oint__of,hAPP(c_Code__Numeral_Oof__nat,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_217]) ).
cnf(c_0_240,plain,
( hBOOL(hAPP(hAPP(c_fequal,X1),X2))
| hAPP(c_fequal,X1) != hAPP(c_fequal,X2) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
fof(c_0_241,plain,
! [X15480] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,X15480)) = X15480,
inference(variable_rename,[status(thm)],[fact_nat__of__inverse]) ).
cnf(c_0_242,plain,
( X1 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk183_1(X1))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_243,plain,
( hBOOL(hAPP(X2,esk148_1(X2)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
| ~ hBOOL(hAPP(X2,hAPP(c_Int_Onat,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_221]) ).
fof(c_0_244,plain,
! [X6297] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X6297)) = X6297,
inference(variable_rename,[status(thm)],[fact_nat__int]) ).
cnf(c_0_245,plain,
( hBOOL(hAPP(X1,esk206_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_222]) ).
cnf(c_0_246,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5)) != hAPP(c_fconj,c_fFalse),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_247,plain,
( hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3
| ~ hBOOL(hAPP(X3,X2)) ),
inference(rw,[status(thm)],[c_0_225,c_0_132]) ).
fof(c_0_248,plain,
! [X6320] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X6320)) = X6320,
inference(variable_rename,[status(thm)],[fact_transfer__int__nat__set__return__embed]) ).
fof(c_0_249,plain,
! [X667,X668,X669,X670,X671,X672] : hAPP(c_Set_Oimage(X672,X671,X670),hAPP(c_Set_Oimage(X669,X672,X668),X667)) = hAPP(c_Set_Oimage(X669,X671,hAPP(hAPP(c_COMBB(X672,X671,X669),X670),X668)),X667),
inference(variable_rename,[status(thm)],[fact_image__image]) ).
cnf(c_0_250,plain,
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))
| c_Int_OInteg != c_fFalse ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_251,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_228,c_0_229]),c_0_229]) ).
fof(c_0_252,plain,
! [X16607,X16608] : hAPP(c_List_Orev(X16608),hAPP(c_List_Orev(X16608),X16607)) = X16607,
inference(variable_rename,[status(thm)],[fact_rev__rev__ident]) ).
cnf(c_0_253,plain,
( X1 = c_fTrue
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_254,plain,
( hBOOL(X1)
| hBOOL(hAPP(c_fNot,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_255,plain,
hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_233,c_0_229]) ).
cnf(c_0_256,plain,
hAPP(c_Set_Oimage(X1,tc_fun(X1,tc_HOL_Obool),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_257,plain,
hAPP(c_Set_Oimage(X1,tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X1),c_Relation_OImage(X1,X1,X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X3) = hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X3),X2),
inference(rw,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_258,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))
| ~ class_Finite__Set_Ofinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_238]) ).
cnf(c_0_259,plain,
class_Finite__Set_Ofinite(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Finite__Set_Ofinite]) ).
cnf(c_0_260,plain,
hAPP(c_fequal,hAPP(c_Code__Numeral_Oint__of,hAPP(c_Code__Numeral_Oof__nat,X1))) != hAPP(c_fequal,c_Int_OMin),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_261,plain,
hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_262,plain,
( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk183_1(X1)) = X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),X1)) ),
inference(rw,[status(thm)],[c_0_242,c_0_145]) ).
cnf(c_0_263,plain,
( hBOOL(hAPP(X1,esk148_1(X1)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),X2))
| ~ hBOOL(hAPP(X1,hAPP(c_Int_Onat,X2))) ),
inference(rw,[status(thm)],[c_0_243,c_0_145]) ).
cnf(c_0_264,plain,
hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_244]) ).
cnf(c_0_265,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk206_1(X1))) ),
inference(rw,[status(thm)],[c_0_245,c_0_76]) ).
cnf(c_0_266,plain,
( hAPP(c_Set_Oimage(X1,X2,X3),X4) != hAPP(c_fconj,c_fFalse)
| ~ hBOOL(hAPP(X4,X5)) ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_267,plain,
hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_248]) ).
cnf(c_0_268,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_Set_Oimage(X4,X1,X5),X6)) = hAPP(c_Set_Oimage(X4,X2,hAPP(hAPP(c_COMBB(X1,X2,X4),X3),X5)),X6),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_269,plain,
hAPP(c_fequal,X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_197,c_0_174]) ).
cnf(c_0_270,plain,
( hBOOL(hAPP(c_fconj,c_fFalse))
| c_Int_OInteg != c_fFalse ),
inference(rw,[status(thm)],[c_0_250,c_0_198]) ).
cnf(c_0_271,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_251]),c_0_205]) ).
cnf(c_0_272,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_252]) ).
cnf(c_0_273,plain,
( hAPP(c_fNot,X1) = c_fTrue
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_274,plain,
hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_255,c_0_156]) ).
cnf(c_0_275,plain,
hAPP(c_Set_Oimage(X1,tc_fun(X1,tc_HOL_Obool),X2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue)) != hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_156]),c_0_156]) ).
cnf(c_0_276,plain,
hAPP(c_Set_Oimage(X1,tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X1),c_Relation_OImage(X1,X1,X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_Oinsert(X1)),hAPP(c_fconj,c_fFalse)))),X3) = hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X3),X2),
inference(rw,[status(thm)],[c_0_257,c_0_198]) ).
cnf(c_0_277,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),X1)),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
fof(c_0_278,plain,
! [X34,X31,X5] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X5)),hAPP(hAPP(c_Product__Type_OPair(X5,X5),X31),X34)),c_List_Omeasures(X5,c_List_Olist_ONil(tc_fun(X5,tc_Nat_Onat))))),
inference(fof_simplification,[status(thm)],[fact_in__measures_I1_J]) ).
cnf(c_0_279,plain,
hAPP(c_fequal,hAPP(c_Code__Numeral_Oint__of,X1)) != hAPP(c_fequal,c_Int_OMin),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_280,plain,
( hAPP(c_Code__Numeral_Oint__of,hAPP(c_Code__Numeral_Oof__nat,esk183_1(X1))) = X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),X1)) ),
inference(rw,[status(thm)],[c_0_262,c_0_216]) ).
cnf(c_0_281,plain,
( hBOOL(hAPP(X1,esk148_1(X1)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_215]),c_0_264]) ).
cnf(c_0_282,plain,
( X1 = hAPP(c_fconj,c_fFalse)
| hBOOL(hAPP(X1,esk206_1(X1))) ),
inference(rw,[status(thm)],[c_0_265,c_0_198]) ).
cnf(c_0_283,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4)) != hAPP(c_fconj,c_fFalse),
inference(spm,[status(thm)],[c_0_266,c_0_165]) ).
cnf(c_0_284,plain,
hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),c_Int_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),X1) = X1,
inference(rw,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_285,plain,
hAPP(c_fequal,X1) != hAPP(c_fconj,c_fFalse),
inference(rw,[status(thm)],[c_0_269,c_0_198]) ).
cnf(c_0_286,plain,
( hAPP(c_fconj,c_fFalse) = c_fTrue
| c_Int_OInteg != c_fFalse ),
inference(spm,[status(thm)],[c_0_253,c_0_270]) ).
cnf(c_0_287,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_288,plain,
( hAPP(c_fNot,X1) = c_fTrue
| X1 = c_fTrue ),
inference(spm,[status(thm)],[c_0_253,c_0_273]) ).
cnf(c_0_289,plain,
hAPP(c_fNot,c_fTrue) = c_fFalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_274]),c_0_87]),c_0_115]) ).
fof(c_0_290,plain,
! [X15019,X15020,X15021] : hBOOL(hAPP(c_Finite__Set_Ofinite(X15021),c_Map_Odom(X15021,X15020,hAPP(c_Map_Omap__of(X15021,X15020),X15019)))),
inference(variable_rename,[status(thm)],[fact_finite__dom__map__of]) ).
cnf(c_0_291,plain,
hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue)),X2) != hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_292,plain,
( X1 = hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue)
| hAPP(X1,esk1_2(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue),X1)) != c_fTrue ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_293,plain,
hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),X1) = c_fTrue,
inference(spm,[status(thm)],[c_0_253,c_0_277]) ).
fof(c_0_294,plain,
! [X17041,X17042,X17043] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X17043,X17043)),hAPP(hAPP(c_Product__Type_OPair(X17043,X17043),X17042),X17041)),c_List_Omeasures(X17043,c_List_Olist_ONil(tc_fun(X17043,tc_Nat_Onat))))),
inference(variable_rename,[status(thm)],[c_0_278]) ).
cnf(c_0_295,plain,
( hAPP(c_fequal,X1) != hAPP(c_fequal,c_Int_OMin)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),X1)) ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_296,plain,
( X1 = hAPP(c_fconj,c_fFalse)
| hBOOL(hAPP(X1,esk148_1(X1))) ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_297,plain,
hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1) != hAPP(c_fconj,c_fFalse),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_298,plain,
( hAPP(c_fequal,X1) != c_fTrue
| c_Int_OInteg != c_fFalse ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_299,plain,
( X1 = c_fTrue
| c_fFalse = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_289]) ).
cnf(c_0_300,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Map_Odom(X1,X2,hAPP(c_Map_Omap__of(X1,X2),X3)))),
inference(split_conjunct,[status(thm)],[c_0_290]) ).
cnf(c_0_301,plain,
hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue) != c_Int_OInteg,
inference(spm,[status(thm)],[c_0_291,c_0_179]) ).
cnf(c_0_302,plain,
hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_fTrue) = c_Finite__Set_Ofinite(tc_HOL_Obool),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_303,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,c_List_Olist_ONil(tc_fun(X1,tc_Nat_Onat))))),
inference(split_conjunct,[status(thm)],[c_0_294]) ).
fof(c_0_304,plain,
! [X10900,X10901,X10902] : X10902 = hAPP(hAPP(c_Product__Type_OPair(X10901,X10900),hAPP(c_Product__Type_Ofst(X10901,X10900),X10902)),hAPP(c_Product__Type_Osnd(X10901,X10900),X10902)),
inference(variable_rename,[status(thm)],[fact_surjective__pairing]) ).
cnf(c_0_305,plain,
hAPP(c_fequal,esk148_1(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls))) != hAPP(c_fequal,c_Int_OMin),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]) ).
cnf(c_0_306,plain,
( hAPP(c_fequal,X1) = c_fFalse
| c_Int_OInteg != c_fFalse ),
inference(spm,[status(thm)],[c_0_298,c_0_299]) ).
cnf(c_0_307,plain,
hAPP(c_Set_Oimage(X1,X2,X3),c_Finite__Set_Ofinite(X4)) != hAPP(c_fconj,c_fFalse),
inference(spm,[status(thm)],[c_0_266,c_0_300]) ).
cnf(c_0_308,plain,
c_Finite__Set_Ofinite(tc_HOL_Obool) != c_Int_OInteg,
inference(rw,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_309,plain,
~ hBOOL(hAPP(c_List_Omeasures(X1,c_List_Olist_ONil(tc_fun(X1,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3))),
inference(rw,[status(thm)],[c_0_303,c_0_132]) ).
cnf(c_0_310,plain,
X1 = hAPP(hAPP(c_Product__Type_OPair(X2,X3),hAPP(c_Product__Type_Ofst(X2,X3),X1)),hAPP(c_Product__Type_Osnd(X2,X3),X1)),
inference(split_conjunct,[status(thm)],[c_0_304]) ).
cnf(c_0_311,plain,
c_Int_OInteg != c_fFalse,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_306]) ).
fof(c_0_312,plain,
~ hBOOL(c_fFalse),
inference(fof_simplification,[status(thm)],[help_c__fFalse__1]) ).
cnf(c_0_313,plain,
c_Finite__Set_Ofinite(X1) != hAPP(c_fconj,c_fFalse),
inference(spm,[status(thm)],[c_0_307,c_0_284]) ).
cnf(c_0_314,plain,
( c_Finite__Set_Ofinite(tc_HOL_Obool) = c_fFalse
| c_fTrue != c_Int_OInteg ),
inference(spm,[status(thm)],[c_0_308,c_0_299]) ).
cnf(c_0_315,plain,
~ hBOOL(hAPP(c_List_Omeasures(X1,c_List_Olist_ONil(tc_fun(X1,tc_Nat_Onat))),X2)),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_316,plain,
c_fTrue = c_Int_OInteg,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_299]),c_0_179]),c_0_311]) ).
cnf(c_0_317,plain,
~ hBOOL(c_fFalse),
inference(split_conjunct,[status(thm)],[c_0_312]) ).
cnf(c_0_318,plain,
( hBOOL(X1)
| hAPP(c_fconj,X1) != c_Int_OInteg ),
inference(spm,[status(thm)],[c_0_226,c_0_177]) ).
cnf(c_0_319,plain,
( hAPP(c_fconj,c_fFalse) != c_fFalse
| c_fTrue != c_Int_OInteg ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_320,plain,
c_List_Omeasures(X1,c_List_Olist_ONil(tc_fun(X1,tc_Nat_Onat))) = hAPP(c_fconj,c_fFalse),
inference(spm,[status(thm)],[c_0_315,c_0_282]) ).
cnf(c_0_321,plain,
( c_fFalse = X1
| X1 = c_Int_OInteg ),
inference(rw,[status(thm)],[c_0_299,c_0_316]) ).
cnf(c_0_322,plain,
hAPP(c_fconj,c_fFalse) != c_Int_OInteg,
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
cnf(c_0_323,plain,
hAPP(c_fconj,c_fFalse) != c_fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_316])]) ).
cnf(c_0_324,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_320]),c_0_322]),c_0_323]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW379+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Aug 27 21:30:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.60 start to proof: theBenchmark
% 15.16/15.37 % Version : CSE_E---1.5
% 15.16/15.37 % Problem : theBenchmark.p
% 15.16/15.37 % Proof found
% 15.16/15.37 % SZS status Theorem for theBenchmark.p
% 15.16/15.37 % SZS output start Proof
% See solution above
% 15.16/15.40 % Total time : 14.574000 s
% 15.16/15.40 % SZS output end Proof
% 15.16/15.40 % Total time : 14.786000 s
%------------------------------------------------------------------------------