%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWW317+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 11:07:03 EDT 2023

% Result   : Theorem 237.97s 176.87s
% Output   : CNFRefutation 238.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      : 1082
% Syntax   : Number of formulae    : 1093 (  16 unt;1077 typ;   0 def)
%            Number of atoms       :   16 (   8 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 3058 (1025   >;2033   *;   0   +;   0  <<)
%            Number of predicates  :  149 ( 147 usr;   1 prp; 0-7 aty)
%            Number of functors    :  930 ( 930 usr;  52 con; 0-11 aty)
%            Number of variables   :   25 (;  25   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_Predicate_Opred__comp > c_Predicate_Oinv__imagep > c_Nitpick_Ofold__graph_H > c_Finite__Set_Ofolding__image__simple__idem > c_Finite__Set_Ofolding__image__simple > c_Equiv__Relations_Ocongruent2 > c_Typedef_Otype__definition > c_List_Olist__all2 > c_Finite__Set_Ofolding__image > c_Big__Operators_Ocomm__monoid__big > c_Wellfounded_Omax__extp > c_Partial__Function_Omk__less > c_Natural_Oevaln > c_Nat__Transfer_Otransfer__morphism > c_List_Olistrelp > c_Fun_Oinj__on > c_Finite__Set_Ofolding__idem > c_Finite__Set_Ofolding > c_Equiv__Relations_Ocongruent > c_Relation_Ototal__on > c_Relation_Osingle__valued > c_Relation_Orefl__on > c_Orderings_Oorder__class_Ostrict__mono > c_Orderings_Oorder__class_Omono > c_Nitpick_Oless__frac > c_Nitpick_Oless__eq__frac > c_List_Olist__ex1 > c_List_Olist__ex > c_List_Olist__all > c_Hoare__Mirabelle_Otriple__valid > c_Hoare__Mirabelle_Ohoare__valids > c_Hoare__Mirabelle_Ohoare__derivs > c_Finite__Set_Ofun__left__comm__idem > c_Finite__Set_Ofun__left__comm > c_Finite__Set_Ofolding__one__idem > c_Finite__Set_Ofolding__one > c_Equiv__Relations_Oequiv > c_Enum_Oex__n__lists > c_Enum_Oall__n__lists > c_Big__Operators_Osemilattice__big > c_Wellfounded_OwfP > c_Wellfounded_Owf > c_Wellfounded_Oacyclic > c_Relation_Oirrefl > c_Predicate_Oreflp > c_Nitpick_Owf_H > c_Nitpick_Orefl_H > c_List_Olinorder__class_Osorted > c_Int_Oiszero > c_FunDef_Oreduction__pair > c_FunDef_Ois__measure > c_Equiv__Relations_Oequivp > hBOOL > class_Smallcheck_Osmall > class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct > class_Rings_Ozero__neq__one > class_Rings_Osemiring__1 > class_Rings_Osemiring__0 > class_Rings_Osemiring > class_Rings_Oring__no__zero__divisors > class_Rings_Oring__1__no__zero__divisors > class_Rings_Oring__1 > class_Rings_Oring > class_Rings_Oordered__semiring > class_Rings_Oordered__ring__abs > class_Rings_Oordered__ring > class_Rings_Oordered__comm__semiring > class_Rings_Oordered__cancel__semiring > class_Rings_Ono__zero__divisors > class_Rings_Omult__zero > class_Rings_Olinordered__semiring__strict > class_Rings_Olinordered__semiring__1__strict > class_Rings_Olinordered__semiring__1 > class_Rings_Olinordered__semiring > class_Rings_Olinordered__semidom > class_Rings_Olinordered__ring__strict > class_Rings_Olinordered__ring > class_Rings_Olinordered__idom > class_Rings_Olinordered__comm__semiring__strict > class_Rings_Oinverse > class_Rings_Oidom > class_Rings_Odivision__ring__inverse__zero > class_Rings_Odivision__ring > class_Rings_Ocomm__semiring__1 > class_Rings_Ocomm__semiring > class_Rings_Ocomm__ring__1 > class_Power_Opower > class_Orderings_Owellorder > class_Orderings_Otop > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Oord > class_Orderings_Olinorder > class_Orderings_Obot > class_Nat_Osize > class_Nat_Osemiring__char__0 > class_Lattices_Osemilattice__sup > class_Lattices_Osemilattice__inf > class_Lattices_Olattice > class_Lattices_Odistrib__lattice > class_Lattices_Obounded__lattice__top > class_Lattices_Obounded__lattice__bot > class_Lattices_Obounded__lattice > class_Lattices_Oboolean__algebra > class_Lattices_Oab__semigroup__idem__mult > class_Int_Oring__char__0 > class_Int_Onumber__ring > class_Int_Onumber > class_HOL_Oequal > class_Groups_Ozero > class_Groups_Ouminus > class_Groups_Osgn__if > class_Groups_Osemigroup__add > class_Groups_Oordered__comm__monoid__add > class_Groups_Oordered__cancel__ab__semigroup__add > class_Groups_Oordered__ab__semigroup__add__imp__le > class_Groups_Oordered__ab__semigroup__add > class_Groups_Oordered__ab__group__add__abs > class_Groups_Oordered__ab__group__add > class_Groups_Oone > class_Groups_Omonoid__mult > class_Groups_Omonoid__add > class_Groups_Ominus > class_Groups_Olinordered__ab__semigroup__add > class_Groups_Olinordered__ab__group__add > class_Groups_Ogroup__add > class_Groups_Ocomm__monoid__mult > class_Groups_Ocomm__monoid__add > class_Groups_Ocancel__semigroup__add > class_Groups_Ocancel__ab__semigroup__add > class_Groups_Oabs__if > class_Groups_Oab__semigroup__mult > class_Groups_Oab__semigroup__add > class_Groups_Oab__group__add > class_Finite__Set_Ofinite > class_Fields_Olinordered__field__inverse__zero > class_Fields_Olinordered__field > class_Fields_Ofield__inverse__zero > class_Fields_Ofield > class_Enum_Oenum > class_Divides_Osemiring__div > class_Divides_Oring__div > class_Complete__Lattice_Ocomplete__lattice > c_Nitpick_Ounknown > c_Nat__Transfer_Onat__set > c_Nat__Transfer_Ois__nat > c_List_Onat__list > c_Com_Ocom_Ocom__case > c_New__Random__Sequence_Opos__decr__bind > c_New__Random__Sequence_Oneg__decr__bind > c_Product__Type_Omap__pair > c_Map_Omap__comp > c_SetInterval_Oord_OgreaterThanAtMost > c_SetInterval_Oord_OatLeastLessThan > c_Product__Type_Oprod_Oprod__size > c_Product__Type_Oprod_Oprod__rec > c_Option_Ooption_Ooption__rec > c_Map_Omap__upds > c_List_Olinorder__class_Oinsort__insert__key > c_List_Ofoldr > c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case > c_Fun_Ooverride__on > c_Finite__Set_Ofold__graph > c_Wellfounded_Olex__prod > c_Sum__Type_OPlus > c_SetInterval_Oord_OgreaterThanLessThan > c_SetInterval_Oord_OatLeastAtMost > c_Recdef_Osame__fst > c_Random_Oiterate > c_Product__Type_Oscomp > c_Product__Type_Oapsnd > c_Product__Type_Oapfst > c_Option_Ooption_Ooption__case > c_Nitpick_Osetsum_H > c_Nitpick_Oprod > c_New__Random__Sequence_Opos__not__random__dseq > c_New__Random__Sequence_Oneg__map > c_New__Random__Sequence_Oneg__bind > c_New__DSequence_Opos__decr__bind > c_New__DSequence_Oneg__decr__bind > c_New__DSequence_Oneg__bind > c_Nat_Osemiring__1__class_Oof__nat__aux > c_Nat_Onat_Onat__case > c_Map_Orestrict__map > c_Map_Omap__add > c_List_Omaps > c_List_Omap__filter > c_List_Olist_Olist__case > c_List_Olinorder__class_Osort__key > c_List_Ofoldl > c_Lazy__Sequence_Ohb__bind > c_Lazy__Sequence_Obind > c_Hoare__Mirabelle_Otriple_Otriple__rec > c_Hoare__Mirabelle_Otriple_Otriple__case > c_Hoare__Mirabelle_Otriple_Otriple > c_Fun_Othe__inv__into > c_Fun_Ocomp > c_Enum_Oproduct > c_Com_Ovname_Ovname__rec > c_Com_Ovname_Ovname__case > c_Code__Numeral_Ocode__numeral_Ocode__numeral__case > c_Wellfounded_Omlex__prod > c_Smallcheck_Osmall_H > c_Smallcheck_Oorelse > c_Smallcheck_Ofull__small__class_Ofull__small > c_Smallcheck_Ofull__small_H > c_Set_Ovimage > c_Set_Oimage > c_SetInterval_Oord__class_OgreaterThanLessThan > c_SetInterval_Oord__class_OgreaterThanAtMost > c_SetInterval_Oord__class_OatLeastAtMost > c_SetInterval_Oord_OlessThan > c_SetInterval_Oord_OgreaterThan > c_SetInterval_Oord_OatMost > c_SetInterval_Oord_OatLeast > c_Relation_Orel__comp > c_Relation_OImage > c_Random_Ominus__shift > c_Product__Type_Oprod_Oprod__case > c_Product__Type_Ointernal__split > c_Predicate_ORangeP > c_Predicate_ODomainP > c_Power_Opower_Opower > c_Partial__Function_Oflat__lub > c_Option_Ooption_Ooption__size > c_Nitpick_Otimes__frac > c_Nitpick_Oplus__frac > c_Nitpick_Oof__frac > c_Nat_Onat_Onat__rec > c_Map_Oran > c_Map_Odom > c_List_OtakeWhile > c_List_Osublist > c_List_Oset__Cons > c_List_Oremove1 > c_List_Opartition > c_List_Olist_Olist__size > c_List_Olinorder__class_Oinsort__key > c_List_Oinsert > c_List_OdropWhile > c_Lazy__Sequence_Olazy__sequence_OInsert > c_Lazy__Sequence_Oanamorph > c_Hoare__Mirabelle_Otriple_Otriple__size > c_Hoare__Mirabelle_Opeek__and > c_FunDef_Oin__rel > c_Finite__Set_Ofold__image > c_Finite__Set_Ofold1Set > c_Finite__Set_Ofold > c_Enum_On__lists > c_Divides_Odiv__class_Omod > c_Com_Ocom_OLocal > c_Com_Ocom_OCond > c_COMBS > c_COMBC > c_COMBB > c_Big__Operators_Olattice_OSup__fin > c_Big__Operators_Olattice_OInf__fin > tc_sum > tc_prod > tc_fun > hAPP > c_Wellfounded_Omin__ext > c_Wellfounded_Omax__ext > c_Wellfounded_Oaccp > c_Wellfounded_Oacc > c_Transitive__Closure_Otrancl > c_Transitive__Closure_Ortrancl > c_Set_Othe__elem > c_SetInterval_Oord__class_OatLeastLessThan > c_SMT_Oz3mod > c_SMT_Oz3div > c_Relation_Oinv__image > c_Relation_Oconverse > c_Relation_ORange > c_Relation_OId__on > c_Relation_ODomain > c_Random_Oselect__weight > c_Random_Oselect > c_Random_Opick > c_Random_Olog > c_Random_Oinc__shift > c_Product__Type_Osnd > c_Product__Type_Ofst > c_Product__Type_OSigma > c_Product__Type_OPair > c_Predicate_OPowp > c_Orderings_Oord__class_OLeast > c_Orderings_Oord_Omin > c_Orderings_Oord_Omax > c_Option_Oset > c_Option_Omap > c_Nitpick_Ouminus__frac > c_Nitpick_Onumber__of__frac > c_Nitpick_Onorm__frac > c_Nitpick_Onat__lcm > c_Nitpick_Onat__gcd > c_Nitpick_Oinverse__frac > c_Nitpick_Oint__lcm > c_Nitpick_Ocard_H > c_Nitpick_OAbs__Frac > c_Natural_Ogetlocs > c_Nat__Transfer_Otsub > c_Nat_Ocompow > c_Map_Omap__of > c_List_Ozip > c_List_Oupto > c_List_Oupt > c_List_Otranspose > c_List_Orotate > c_List_OremoveAll > c_List_Oremdups > c_List_Omeasures > c_List_Omap > c_List_Olistsp > c_List_Olistset > c_List_Olists > c_List_Olistrel1 > c_List_Olistrel > c_List_Olist__update > c_List_Olinorder__class_Osorted__list__of__set > c_List_Olexord > c_List_Olexn > c_List_Olex > c_List_Olenlex > c_List_Olast > c_List_Ofilter > c_List_Oconcat > c_List_Obutlast > c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size > c_Int_Onat__aux > c_Inductive_Ocomplete__lattice__class_Olfp > c_Inductive_Ocomplete__lattice__class_Ogfp > c_Hilbert__Choice_OEps > c_HOL_OThe > c_HOL_OLet > c_Groups_Osgn__class_Osgn > c_Fun_Ofun__upd > c_FunDef_Orp__inv__image > c_Finite__Set_Ofold1 > c_Enum_Osublists > c_Enum_Oenum__the > c_Divides_OposDivAlg > c_Divides_Opdivmod > c_Divides_OnegDivAlg > c_Divides_Odivmod__nat__rel > c_Divides_Odivmod__nat > c_Divides_Odivmod__int__rel > c_Divides_Odivmod__int > c_Complete__Lattice_Ocomplete__lattice__class_OSUPR > c_Complete__Lattice_Ocomplete__lattice__class_OINFI > c_Complete__Lattice_OSup__class_OSup > c_Complete__Lattice_OInf__class_OInf > c_Com_Ocom_OWhile > c_Com_Ocom_OSemi > c_Com_Ocom_OAss > c_Code__Numeral_Onat__of__aux > c_Code__Numeral_Odiv__mod__code__numeral > c_COMBK > c_Big__Operators_Olinorder__class_OMin > c_Big__Operators_Olinorder__class_OMax > c_Big__Operators_Olattice__class_OSup__fin > c_Big__Operators_Olattice__class_OInf__fin > c_Big__Operators_Ocomm__monoid__mult__class_Osetprod > c_Big__Operators_Ocomm__monoid__add__class_Osetsum > #nlpp > tc_Option_Ooption > tc_List_Olist > tc_Lazy__Sequence_Olazy__sequence > tc_Hoare__Mirabelle_Otriple > c_member > c_Wellfounded_Omeasure > c_Wellfounded_Ofinite__psubset > c_Smallcheck_Osmall__class_Osmall > c_Set_Oinsert > c_Set_OPow > c_Set_OCollect > c_Set_OBall > c_SetInterval_Oord__class_OlessThan > c_SetInterval_Oord__class_OgreaterThan > c_SetInterval_Oord__class_OatMost > c_SetInterval_Oord__class_OatLeast > c_Rings_Oinverse__class_Odivide > c_Relation_OId > c_Relation_OField > c_Random_Orange > c_Power_Opower__class_Opower > c_Orderings_Otop__class_Otop > c_Orderings_Oord__class_Omin > c_Orderings_Oord__class_Omax > c_Orderings_Oord__class_Oless__eq > c_Orderings_Oord__class_Oless > c_Orderings_Obot__class_Obot > c_Option_Othe > c_Option_Ooption_OSome > c_Option_Ooption_ONone > c_Nitpick_Ozero__frac > c_Nitpick_Oone__frac > c_Nitpick_Onum > c_Nitpick_Ofrac > c_Nitpick_Odenom > c_Nitpick_ORep__Frac > c_New__Random__Sequence_Oneg__single > c_New__DSequence_Opos__not__seq > c_Natural_Oevalc > c_Nat_Osize__class_Osize > c_Nat_Osemiring__1__class_Oof__nat > c_Nat_Osemiring__1__class_ONats > c_Nat_Onat_Onat__size > c_Nat_Ofunpow > c_List_Otranspose__rel > c_List_Otl > c_List_Otake > c_List_Oset > c_List_Orotate1 > c_List_Orev > c_List_Oreturn__list > c_List_Onth > c_List_Omonoid__add__class_Olistsum > c_List_Olist_ONil > c_List_Olist_OCons > c_List_Ohd > c_List_Oembed__list > c_List_Odrop > c_List_Odistinct > c_List_Oappend > c_Lazy__Sequence_Oyieldn > c_Lazy__Sequence_Oyield > c_Lazy__Sequence_Ohit__bound > c_Lazy__Sequence_Ohb__not__seq > c_Lazy__Sequence_Oempty > c_Lattices_Osemilattice__sup__class_Osup > c_Lattices_Osemilattice__inf__class_Oinf > c_Int_Osucc > c_Int_Oring__1__class_Oof__int > c_Int_Oring__1__class_OInts > c_Int_Opred > c_Int_Onumber__class_Onumber__of > c_Int_Oint__ge__less__than2 > c_Int_Oint__ge__less__than > c_Int_OBit1 > c_Int_OBit0 > c_If > c_Hoare__Mirabelle_OMGT > c_HOL_Oequal__class_Oequal > c_HOL_Obool_Obool__size > c_HOL_OEx > c_HOL_OAll > c_Groups_Ozero__class_Ozero > c_Groups_Ouminus__class_Ouminus > c_Groups_Otimes__class_Otimes > c_Groups_Oplus__class_Oplus > c_Groups_Oone__class_Oone > c_Groups_Ominus__class_Ominus > c_Groups_Oabs__class_Oabs > c_Fun_Oid > c_Finite__Set_Ofinite > c_Finite__Set_Ocard > c_Equiv__Relations_Oquotient > c_Enum_Oenum__class_Oenum__ex > c_Enum_Oenum__class_Oenum__all > c_Enum_Oenum__class_Oenum > c_Divides_Odiv__class_Odiv > c_Divides_Oadjust > c_Com_Ovname_Ovname__size > c_Com_Ovname_OLoc > c_Com_Ovname_OGlb > c_Com_Ocom_Ocom__size > c_Code__Numeral_Ocode__numeral_Ocode__numeral__size > c_Code__Numeral_OSuc__code__numeral > c_COMBI > v_P > v_Ga > v_G > tc_Product__Type_Ounit > tc_Nat_Onat > tc_Int_Oint > tc_HOL_Obool > tc_Com_Ovname > tc_Com_Ostate > tc_Com_Ocom > tc_Code__Numeral_Ocode__numeral > tc_Code__Evaluation_Oterm > t_a > c_fimplies > c_fequal > c_fdisj > c_fconj > c_fTrue > c_fNot > c_fFalse > c_Wellfounded_Opred__nat > c_Wellfounded_Oless__than > c_Smallcheck_Osmall_H__rel > c_Nitpick_Onorm__frac__rel > c_Nitpick_Onat__gcd__rel > c_Nitpick_Oint__gcd > c_Nitpick_OFrac > c_Natural_Oupdate > c_Nat__Numeral_Oneg > c_Nat_OSuc > c_List_Oupto__rel > c_Int_Onat > c_Int_Ointrel > c_Int_ORep__Integ > c_Int_OPls > c_Int_OMin > c_Int_OInteg > c_Int_OAbs__Integ > c_FunDef_Opair__less > c_FunDef_Opair__leq > c_FunDef_Omin__weak > c_FunDef_Omin__strict > c_FunDef_Omax__weak > c_FunDef_Omax__strict > c_Divides_OposDivAlg__rel > c_Divides_OnegateSnd > c_Divides_OnegDivAlg__rel > c_Com_Ocom_OSKIP > c_Code__Numeral_Osubtract__code__numeral > c_Code__Numeral_Oof__nat > c_Code__Numeral_Onat__of > c_Code__Numeral_Oint__of > #skF_23 > #skF_289 > #skF_146 > #skF_28 > #skF_249 > #skF_261 > #skF_419 > #skF_202 > #skF_313 > #skF_372 > #skF_291 > #skF_518 > #skF_384 > #skF_325 > #skF_183 > #skF_475 > #skF_410 > #skF_241 > #skF_50 > #skF_131 > #skF_439 > #skF_37 > #skF_425 > #skF_286 > #skF_306 > #skF_280 > #skF_75 > #skF_233 > #skF_68 > #skF_254 > #skF_258 > #skF_38 > #skF_226 > #skF_133 > #skF_322 > #skF_375 > #skF_110 > #skF_404 > #skF_421 > #skF_471 > #skF_504 > #skF_80 > #skF_301 > #skF_316 > #skF_462 > #skF_494 > #skF_175 > #skF_65 > #skF_151 > #skF_445 > #skF_540 > #skF_338 > #skF_93 > #skF_33 > #skF_181 > #skF_279 > #skF_77 > #skF_411 > #skF_148 > #skF_85 > #skF_341 > #skF_149 > #skF_502 > #skF_216 > #skF_505 > #skF_479 > #skF_144 > #skF_418 > #skF_266 > #skF_493 > #skF_193 > #skF_214 > #skF_118 > #skF_113 > #skF_424 > #skF_545 > #skF_500 > #skF_232 > #skF_530 > #skF_206 > #skF_437 > #skF_196 > #skF_268 > #skF_324 > #skF_124 > #skF_61 > #skF_66 > #skF_260 > #skF_180 > #skF_265 > #skF_55 > #skF_290 > #skF_152 > #skF_523 > #skF_190 > #skF_247 > #skF_122 > #skF_307 > #skF_284 > #skF_429 > #skF_126 > #skF_426 > #skF_178 > #skF_317 > #skF_218 > #skF_9 > #skF_535 > #skF_198 > #skF_422 > #skF_513 > #skF_304 > #skF_205 > #skF_360 > #skF_18 > #skF_388 > #skF_520 > #skF_107 > #skF_188 > #skF_234 > #skF_363 > #skF_454 > #skF_311 > #skF_73 > #skF_443 > #skF_48 > #skF_208 > #skF_371 > #skF_349 > #skF_237 > #skF_112 > #skF_330 > #skF_440 > #skF_84 > #skF_176 > #skF_255 > #skF_96 > #skF_499 > #skF_63 > #skF_4 > #skF_340 > #skF_334 > #skF_400 > #skF_389 > #skF_353 > #skF_104 > #skF_282 > #skF_485 > #skF_356 > #skF_549 > #skF_94 > #skF_165 > #skF_416 > #skF_385 > #skF_72 > #skF_97 > #skF_25 > #skF_516 > #skF_240 > #skF_20 > #skF_369 > #skF_64 > #skF_87 > #skF_115 > #skF_244 > #skF_70 > #skF_235 > #skF_469 > #skF_199 > #skF_275 > #skF_390 > #skF_527 > #skF_556 > #skF_242 > #skF_357 > #skF_342 > #skF_92 > #skF_99 > #skF_179 > #skF_501 > #skF_52 > #skF_47 > #skF_473 > #skF_511 > #skF_491 > #skF_59 > #skF_19 > #skF_44 > #skF_497 > #skF_121 > #skF_509 > #skF_134 > #skF_281 > #skF_46 > #skF_379 > #skF_328 > #skF_412 > #skF_128 > #skF_551 > #skF_344 > #skF_432 > #skF_13 > #skF_555 > #skF_397 > #skF_468 > #skF_455 > #skF_45 > #skF_408 > #skF_207 > #skF_359 > #skF_147 > #skF_245 > #skF_503 > #skF_533 > #skF_417 > #skF_525 > #skF_318 > #skF_222 > #skF_132 > #skF_481 > #skF_495 > #skF_532 > #skF_276 > #skF_212 > #skF_553 > #skF_517 > #skF_142 > #skF_41 > #skF_394 > #skF_251 > #skF_156 > #skF_438 > #skF_102 > #skF_100 > #skF_209 > #skF_187 > #skF_358 > #skF_544 > #skF_449 > #skF_461 > #skF_305 > #skF_167 > #skF_12 > #skF_309 > #skF_219 > #skF_428 > #skF_370 > #skF_300 > #skF_405 > #skF_308 > #skF_498 > #skF_482 > #skF_24 > #skF_54 > #skF_143 > #skF_42 > #skF_78 > #skF_11 > #skF_335 > #skF_526 > #skF_292 > #skF_547 > #skF_173 > #skF_95 > #skF_120 > #skF_323 > #skF_67 > #skF_89 > #skF_552 > #skF_98 > #skF_515 > #skF_377 > #skF_71 > #skF_197 > #skF_252 > #skF_32 > #skF_160 > #skF_393 > #skF_343 > #skF_320 > #skF_35 > #skF_450 > #skF_10 > #skF_2 > #skF_74 > #skF_441 > #skF_510 > #skF_267 > #skF_49 > #skF_415 > #skF_361 > #skF_336 > #skF_299 > #skF_331 > #skF_448 > #skF_16 > #skF_434 > #skF_264 > #skF_423 > #skF_536 > #skF_8 > #skF_506 > #skF_51 > #skF_225 > #skF_163 > #skF_137 > #skF_319 > #skF_480 > #skF_399 > #skF_378 > #skF_141 > #skF_236 > #skF_76 > #skF_7 > #skF_69 > #skF_492 > #skF_433 > #skF_153 > #skF_490 > #skF_150 > #skF_367 > #skF_355 > #skF_447 > #skF_420 > #skF_22 > #skF_519 > #skF_529 > #skF_376 > #skF_531 > #skF_446 > #skF_217 > #skF_211 > #skF_263 > #skF_321 > #skF_554 > #skF_166 > #skF_36 > #skF_314 > #skF_184 > #skF_29 > #skF_269 > #skF_477 > #skF_195 > #skF_108 > #skF_161 > #skF_270 > #skF_191 > #skF_105 > #skF_257 > #skF_119 > #skF_362 > #skF_522 > #skF_348 > #skF_548 > #skF_489 > #skF_56 > #skF_60 > #skF_168 > #skF_103 > #skF_541 > #skF_312 > #skF_192 > #skF_452 > #skF_3 > #skF_250 > #skF_467 > #skF_90 > #skF_406 > #skF_43 > #skF_31 > #skF_164 > #skF_230 > #skF_431 > #skF_203 > #skF_34 > #skF_15 > #skF_413 > #skF_381 > #skF_182 > #skF_476 > #skF_157 > #skF_542 > #skF_272 > #skF_287 > #skF_512 > #skF_444 > #skF_463 > #skF_528 > #skF_550 > #skF_402 > #skF_427 > #skF_465 > #skF_295 > #skF_5 > #skF_185 > #skF_186 > #skF_401 > #skF_221 > #skF_243 > #skF_456 > #skF_158 > #skF_81 > #skF_171 > #skF_204 > #skF_329 > #skF_403 > #skF_464 > #skF_538 > #skF_136 > #skF_466 > #skF_127 > #skF_368 > #skF_373 > #skF_117 > #skF_91 > #skF_277 > #skF_409 > #skF_347 > #skF_88 > #skF_285 > #skF_315 > #skF_478 > #skF_472 > #skF_488 > #skF_396 > #skF_170 > #skF_239 > #skF_201 > #skF_224 > #skF_273 > #skF_346 > #skF_162 > #skF_172 > #skF_458 > #skF_58 > #skF_17 > #skF_154 > #skF_524 > #skF_169 > #skF_62 > #skF_288 > #skF_339 > #skF_537 > #skF_57 > #skF_487 > #skF_39 > #skF_228 > #skF_274 > #skF_21 > #skF_101 > #skF_391 > #skF_174 > #skF_125 > #skF_337 > #skF_297 > #skF_327 > #skF_223 > #skF_302 > #skF_508 > #skF_374 > #skF_534 > #skF_514 > #skF_352 > #skF_177 > #skF_159 > #skF_189 > #skF_398 > #skF_248 > #skF_470 > #skF_430 > #skF_83 > #skF_303 > #skF_392 > #skF_200 > #skF_106 > #skF_351 > #skF_231 > #skF_82 > #skF_116 > #skF_123 > #skF_215 > #skF_453 > #skF_407 > #skF_138 > #skF_139 > #skF_345 > #skF_278 > #skF_155 > #skF_140 > #skF_326 > #skF_474 > #skF_114 > #skF_543 > #skF_229 > #skF_298 > #skF_227 > #skF_259 > #skF_521 > #skF_6 > #skF_220 > #skF_253 > #skF_296 > #skF_483 > #skF_382 > #skF_213 > #skF_293 > #skF_442 > #skF_496 > #skF_383 > #skF_26 > #skF_332 > #skF_380 > #skF_486 > #skF_366 > #skF_387 > #skF_354 > #skF_310 > #skF_40 > #skF_210 > #skF_14 > #skF_1 > #skF_386 > #skF_135 > #skF_238 > #skF_262 > #skF_484 > #skF_459 > #skF_436 > #skF_130 > #skF_283 > #skF_460 > #skF_435 > #skF_30 > #skF_395 > #skF_86 > #skF_364 > #skF_365 > #skF_27 > #skF_451 > #skF_53 > #skF_194 > #skF_350 > #skF_111 > #skF_507 > #skF_414 > #skF_539 > #skF_546 > #skF_79 > #skF_256 > #skF_333 > #skF_145 > #skF_271 > #skF_457 > #skF_246 > #skF_294 > #skF_109 > #skF_129

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(c_Product__Type_Ofst,type,
    c_Product__Type_Ofst: ( $i * $i ) > $i ).

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

tff('#skF_23',type,
    '#skF_23': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_289',type,
    '#skF_289': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_146',type,
    '#skF_146': ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

tff('#skF_28',type,
    '#skF_28': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_249',type,
    '#skF_249': ( $i * $i * $i * $i ) > $i ).

tff('#skF_261',type,
    '#skF_261': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_419',type,
    '#skF_419': ( $i * $i * $i ) > $i ).

tff('#skF_202',type,
    '#skF_202': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_313',type,
    '#skF_313': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_372',type,
    '#skF_372': ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_291',type,
    '#skF_291': ( $i * $i * $i * $i ) > $i ).

tff('#skF_518',type,
    '#skF_518': ( $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_384',type,
    '#skF_384': ( $i * $i * $i ) > $i ).

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

tff('#skF_325',type,
    '#skF_325': ( $i * $i ) > $i ).

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

tff('#skF_183',type,
    '#skF_183': ( $i * $i * $i ) > $i ).

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

tff('#skF_475',type,
    '#skF_475': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_410',type,
    '#skF_410': ( $i * $i ) > $i ).

tff('#skF_241',type,
    '#skF_241': ( $i * $i * $i * $i ) > $i ).

tff('#skF_50',type,
    '#skF_50': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_131',type,
    '#skF_131': ( $i * $i * $i ) > $i ).

tff('#skF_439',type,
    '#skF_439': ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff(c_Enum_Oenum__class_Oenum,type,
    c_Enum_Oenum__class_Oenum: $i > $i ).

tff('#skF_37',type,
    '#skF_37': ( $i * $i ) > $i ).

tff('#skF_425',type,
    '#skF_425': ( $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_286',type,
    '#skF_286': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_306',type,
    '#skF_306': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_280',type,
    '#skF_280': ( $i * $i * $i ) > $i ).

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

tff('#skF_75',type,
    '#skF_75': ( $i * $i ) > $i ).

tff('#skF_233',type,
    '#skF_233': ( $i * $i ) > $i ).

tff('#skF_68',type,
    '#skF_68': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_254',type,
    '#skF_254': ( $i * $i ) > $i ).

tff('#skF_258',type,
    '#skF_258': ( $i * $i ) > $i ).

tff('#skF_38',type,
    '#skF_38': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_226',type,
    '#skF_226': $i > $i ).

tff('#skF_133',type,
    '#skF_133': $i > $i ).

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

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

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

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

tff('#skF_322',type,
    '#skF_322': ( $i * $i * $i ) > $i ).

tff('#skF_375',type,
    '#skF_375': ( $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_110',type,
    '#skF_110': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_404',type,
    '#skF_404': ( $i * $i ) > $i ).

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

tff('#skF_421',type,
    '#skF_421': ( $i * $i * $i * $i ) > $i ).

tff('#skF_471',type,
    '#skF_471': ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_504',type,
    '#skF_504': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_80',type,
    '#skF_80': ( $i * $i ) > $i ).

tff('#skF_301',type,
    '#skF_301': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_316',type,
    '#skF_316': ( $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_462',type,
    '#skF_462': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(c_Option_Oset,type,
    c_Option_Oset: ( $i * $i ) > $i ).

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

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

tff('#skF_494',type,
    '#skF_494': ( $i * $i ) > $i ).

tff('#skF_175',type,
    '#skF_175': ( $i * $i ) > $i ).

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

tff('#skF_65',type,
    '#skF_65': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_151',type,
    '#skF_151': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_445',type,
    '#skF_445': ( $i * $i ) > $i ).

tff('#skF_540',type,
    '#skF_540': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_338',type,
    '#skF_338': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_93',type,
    '#skF_93': ( $i * $i * $i * $i ) > $i ).

tff('#skF_33',type,
    '#skF_33': ( $i * $i * $i ) > $i ).

tff('#skF_181',type,
    '#skF_181': ( $i * $i * $i ) > $i ).

tff('#skF_279',type,
    '#skF_279': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_77',type,
    '#skF_77': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_411',type,
    '#skF_411': ( $i * $i ) > $i ).

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

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

tff('#skF_148',type,
    '#skF_148': ( $i * $i * $i ) > $i ).

tff('#skF_85',type,
    '#skF_85': ( $i * $i * $i * $i ) > $i ).

tff('#skF_341',type,
    '#skF_341': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_149',type,
    '#skF_149': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_502',type,
    '#skF_502': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_216',type,
    '#skF_216': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_505',type,
    '#skF_505': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_479',type,
    '#skF_479': ( $i * $i * $i * $i ) > $i ).

tff('#skF_144',type,
    '#skF_144': ( $i * $i ) > $i ).

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

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

tff('#skF_418',type,
    '#skF_418': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_266',type,
    '#skF_266': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_493',type,
    '#skF_493': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_193',type,
    '#skF_193': ( $i * $i * $i ) > $i ).

tff('#skF_214',type,
    '#skF_214': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_118',type,
    '#skF_118': ( $i * $i * $i * $i * $i ) > $i ).

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

tff(class_HOL_Oequal,type,
    class_HOL_Oequal: $i > $o ).

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

tff('#skF_113',type,
    '#skF_113': ( $i * $i ) > $i ).

tff('#skF_424',type,
    '#skF_424': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_545',type,
    '#skF_545': ( $i * $i * $i ) > $i ).

tff('#skF_500',type,
    '#skF_500': ( $i * $i * $i ) > $i ).

tff('#skF_232',type,
    '#skF_232': ( $i * $i ) > $i ).

tff('#skF_530',type,
    '#skF_530': ( $i * $i * $i * $i ) > $i ).

tff('#skF_206',type,
    '#skF_206': $i > $i ).

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

tff('#skF_437',type,
    '#skF_437': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_196',type,
    '#skF_196': ( $i * $i ) > $i ).

tff('#skF_268',type,
    '#skF_268': ( $i * $i * $i ) > $i ).

tff('#skF_324',type,
    '#skF_324': ( $i * $i ) > $i ).

tff('#skF_124',type,
    '#skF_124': ( $i * $i ) > $i ).

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

tff('#skF_61',type,
    '#skF_61': ( $i * $i * $i * $i ) > $i ).

tff(v_P,type,
    v_P: $i ).

tff('#skF_66',type,
    '#skF_66': ( $i * $i * $i * $i ) > $i ).

tff('#skF_260',type,
    '#skF_260': ( $i * $i * $i * $i ) > $i ).

tff('#skF_180',type,
    '#skF_180': ( $i * $i * $i ) > $i ).

tff('#skF_265',type,
    '#skF_265': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_55',type,
    '#skF_55': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_290',type,
    '#skF_290': ( $i * $i * $i * $i ) > $i ).

tff('#skF_152',type,
    '#skF_152': ( $i * $i ) > $i ).

tff('#skF_523',type,
    '#skF_523': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_190',type,
    '#skF_190': ( $i * $i ) > $i ).

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

tff('#skF_247',type,
    '#skF_247': ( $i * $i * $i ) > $i ).

tff('#skF_122',type,
    '#skF_122': ( $i * $i ) > $i ).

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

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

tff('#skF_307',type,
    '#skF_307': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_284',type,
    '#skF_284': ( $i * $i * $i * $i ) > $i ).

tff('#skF_429',type,
    '#skF_429': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_126',type,
    '#skF_126': ( $i * $i ) > $i ).

tff('#skF_426',type,
    '#skF_426': ( $i * $i * $i * $i ) > $i ).

tff('#skF_178',type,
    '#skF_178': ( $i * $i * $i ) > $i ).

tff('#skF_317',type,
    '#skF_317': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

tff('#skF_218',type,
    '#skF_218': ( $i * $i * $i ) > $i ).

tff('#skF_9',type,
    '#skF_9': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_535',type,
    '#skF_535': ( $i * $i * $i ) > $i ).

tff('#skF_198',type,
    '#skF_198': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_422',type,
    '#skF_422': ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_513',type,
    '#skF_513': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_304',type,
    '#skF_304': ( $i * $i * $i ) > $i ).

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

tff('#skF_205',type,
    '#skF_205': $i > $i ).

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

tff('#skF_360',type,
    '#skF_360': ( $i * $i ) > $i ).

tff('#skF_18',type,
    '#skF_18': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_388',type,
    '#skF_388': ( $i * $i * $i ) > $i ).

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

tff('#skF_520',type,
    '#skF_520': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_107',type,
    '#skF_107': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_188',type,
    '#skF_188': ( $i * $i * $i ) > $i ).

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

tff('#skF_234',type,
    '#skF_234': ( $i * $i * $i * $i ) > $i ).

tff('#skF_363',type,
    '#skF_363': ( $i * $i * $i ) > $i ).

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

tff('#skF_454',type,
    '#skF_454': ( $i * $i * $i ) > $i ).

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

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

tff(c_HOL_Oequal__class_Oequal,type,
    c_HOL_Oequal__class_Oequal: $i > $i ).

tff('#skF_311',type,
    '#skF_311': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_73',type,
    '#skF_73': $i > $i ).

tff('#skF_443',type,
    '#skF_443': ( $i * $i * $i * $i ) > $i ).

tff('#skF_48',type,
    '#skF_48': ( $i * $i ) > $i ).

tff('#skF_208',type,
    '#skF_208': $i > $i ).

tff('#skF_371',type,
    '#skF_371': ( $i * $i * $i ) > $i ).

tff('#skF_349',type,
    '#skF_349': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_237',type,
    '#skF_237': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_112',type,
    '#skF_112': ( $i * $i ) > $i ).

tff('#skF_330',type,
    '#skF_330': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_440',type,
    '#skF_440': ( $i * $i * $i ) > $i ).

tff('#skF_84',type,
    '#skF_84': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_176',type,
    '#skF_176': ( $i * $i ) > $i ).

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

tff('#skF_255',type,
    '#skF_255': ( $i * $i ) > $i ).

tff('#skF_96',type,
    '#skF_96': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_499',type,
    '#skF_499': ( $i * $i * $i ) > $i ).

tff('#skF_63',type,
    '#skF_63': ( $i * $i ) > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i * $i * $i * $i ) > $i ).

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

tff(c_Map_Omap__upds,type,
    c_Map_Omap__upds: ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_340',type,
    '#skF_340': ( $i * $i * $i ) > $i ).

tff('#skF_334',type,
    '#skF_334': ( $i * $i ) > $i ).

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

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

tff('#skF_400',type,
    '#skF_400': ( $i * $i ) > $i ).

tff('#skF_389',type,
    '#skF_389': ( $i * $i * $i ) > $i ).

tff('#skF_353',type,
    '#skF_353': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_104',type,
    '#skF_104': ( $i * $i * $i * $i ) > $i ).

tff('#skF_282',type,
    '#skF_282': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_485',type,
    '#skF_485': ( $i * $i * $i ) > $i ).

tff('#skF_356',type,
    '#skF_356': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_549',type,
    '#skF_549': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_94',type,
    '#skF_94': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_165',type,
    '#skF_165': ( $i * $i ) > $i ).

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

tff('#skF_416',type,
    '#skF_416': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_385',type,
    '#skF_385': ( $i * $i * $i ) > $i ).

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

tff(c_Com_Ocom_Ocom__case,type,
    c_Com_Ocom_Ocom__case: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_72',type,
    '#skF_72': ( $i * $i ) > $i ).

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

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

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

tff('#skF_97',type,
    '#skF_97': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_25',type,
    '#skF_25': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_516',type,
    '#skF_516': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_240',type,
    '#skF_240': ( $i * $i * $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_369',type,
    '#skF_369': ( $i * $i * $i * $i ) > $i ).

tff('#skF_64',type,
    '#skF_64': ( $i * $i ) > $i ).

tff('#skF_87',type,
    '#skF_87': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_115',type,
    '#skF_115': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_244',type,
    '#skF_244': ( $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_70',type,
    '#skF_70': ( $i * $i ) > $i ).

tff('#skF_235',type,
    '#skF_235': ( $i * $i * $i * $i ) > $i ).

tff('#skF_469',type,
    '#skF_469': ( $i * $i ) > $i ).

tff('#skF_199',type,
    '#skF_199': ( $i * $i * $i ) > $i ).

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

tff(c_Smallcheck_Ofull__small__class_Ofull__small,type,
    c_Smallcheck_Ofull__small__class_Ofull__small: ( $i * $i * $i ) > $i ).

tff('#skF_275',type,
    '#skF_275': $i > $i ).

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

tff(class_Smallcheck_Osmall,type,
    class_Smallcheck_Osmall: $i > $o ).

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

tff('#skF_390',type,
    '#skF_390': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_527',type,
    '#skF_527': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_556',type,
    '#skF_556': ( $i * $i * $i * $i ) > $i ).

tff('#skF_242',type,
    '#skF_242': ( $i * $i * $i * $i ) > $i ).

tff('#skF_357',type,
    '#skF_357': ( $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_342',type,
    '#skF_342': ( $i * $i ) > $i ).

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

tff('#skF_92',type,
    '#skF_92': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_99',type,
    '#skF_99': ( $i * $i * $i ) > $i ).

tff('#skF_179',type,
    '#skF_179': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_501',type,
    '#skF_501': ( $i * $i ) > $i ).

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

tff('#skF_52',type,
    '#skF_52': ( $i * $i * $i ) > $i ).

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

tff('#skF_47',type,
    '#skF_47': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_473',type,
    '#skF_473': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_511',type,
    '#skF_511': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_491',type,
    '#skF_491': ( $i * $i * $i ) > $i ).

tff('#skF_59',type,
    '#skF_59': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_19',type,
    '#skF_19': ( $i * $i * $i * $i ) > $i ).

tff('#skF_44',type,
    '#skF_44': ( $i * $i * $i * $i ) > $i ).

tff('#skF_497',type,
    '#skF_497': ( $i * $i * $i ) > $i ).

tff('#skF_121',type,
    '#skF_121': ( $i * $i ) > $i ).

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

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

tff('#skF_509',type,
    '#skF_509': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_134',type,
    '#skF_134': ( $i * $i * $i ) > $i ).

tff('#skF_281',type,
    '#skF_281': ( $i * $i * $i ) > $i ).

tff('#skF_46',type,
    '#skF_46': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_379',type,
    '#skF_379': ( $i * $i * $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_328',type,
    '#skF_328': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_412',type,
    '#skF_412': ( $i * $i ) > $i ).

tff('#skF_128',type,
    '#skF_128': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_551',type,
    '#skF_551': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_344',type,
    '#skF_344': ( $i * $i * $i ) > $i ).

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

tff('#skF_432',type,
    '#skF_432': ( $i * $i * $i ) > $i ).

tff('#skF_13',type,
    '#skF_13': ( $i * $i ) > $i ).

tff('#skF_555',type,
    '#skF_555': ( $i * $i * $i ) > $i ).

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

tff('#skF_397',type,
    '#skF_397': ( $i * $i * $i * $i ) > $i ).

tff('#skF_468',type,
    '#skF_468': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_455',type,
    '#skF_455': ( $i * $i * $i ) > $i ).

tff('#skF_45',type,
    '#skF_45': ( $i * $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_408',type,
    '#skF_408': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_207',type,
    '#skF_207': $i > $i ).

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

tff('#skF_359',type,
    '#skF_359': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_147',type,
    '#skF_147': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_245',type,
    '#skF_245': ( $i * $i * $i * $i ) > $i ).

tff('#skF_503',type,
    '#skF_503': ( $i * $i * $i ) > $i ).

tff(c_Option_Ooption_Ooption__size,type,
    c_Option_Ooption_Ooption__size: ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_533',type,
    '#skF_533': ( $i * $i ) > $i ).

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

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

tff('#skF_417',type,
    '#skF_417': ( $i * $i * $i ) > $i ).

tff('#skF_525',type,
    '#skF_525': ( $i * $i * $i ) > $i ).

tff('#skF_318',type,
    '#skF_318': ( $i * $i * $i ) > $i ).

tff('#skF_222',type,
    '#skF_222': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_132',type,
    '#skF_132': ( $i * $i ) > $i ).

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

tff('#skF_481',type,
    '#skF_481': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_495',type,
    '#skF_495': ( $i * $i * $i * $i * $i ) > $i ).

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

tff(c_Map_Omap__add,type,
    c_Map_Omap__add: ( $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_532',type,
    '#skF_532': ( $i * $i ) > $i ).

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

tff('#skF_276',type,
    '#skF_276': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_212',type,
    '#skF_212': ( $i * $i * $i ) > $i ).

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

tff('#skF_553',type,
    '#skF_553': ( $i * $i ) > $i ).

tff('#skF_517',type,
    '#skF_517': ( $i * $i ) > $i ).

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

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

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

tff('#skF_142',type,
    '#skF_142': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_41',type,
    '#skF_41': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_394',type,
    '#skF_394': ( $i * $i * $i * $i ) > $i ).

tff('#skF_251',type,
    '#skF_251': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_156',type,
    '#skF_156': $i > $i ).

tff('#skF_438',type,
    '#skF_438': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_102',type,
    '#skF_102': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_100',type,
    '#skF_100': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_209',type,
    '#skF_209': ( $i * $i * $i ) > $i ).

tff('#skF_187',type,
    '#skF_187': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_358',type,
    '#skF_358': ( $i * $i * $i ) > $i ).

tff('#skF_544',type,
    '#skF_544': ( $i * $i * $i ) > $i ).

tff(c_List_Omap__filter,type,
    c_List_Omap__filter: ( $i * $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_449',type,
    '#skF_449': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_461',type,
    '#skF_461': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_305',type,
    '#skF_305': ( $i * $i * $i * $i ) > $i ).

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

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

tff(c_Map_Oran,type,
    c_Map_Oran: ( $i * $i * $i ) > $i ).

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

tff('#skF_167',type,
    '#skF_167': ( $i * $i ) > $i ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i ) > $i ).

tff('#skF_309',type,
    '#skF_309': ( $i * $i * $i * $i ) > $i ).

tff('#skF_219',type,
    '#skF_219': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_428',type,
    '#skF_428': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_370',type,
    '#skF_370': ( $i * $i * $i * $i ) > $i ).

tff('#skF_300',type,
    '#skF_300': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_405',type,
    '#skF_405': ( $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_308',type,
    '#skF_308': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_498',type,
    '#skF_498': ( $i * $i * $i ) > $i ).

tff('#skF_482',type,
    '#skF_482': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_24',type,
    '#skF_24': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_54',type,
    '#skF_54': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_143',type,
    '#skF_143': ( $i * $i ) > $i ).

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

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

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

tff('#skF_42',type,
    '#skF_42': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_78',type,
    '#skF_78': ( $i * $i ) > $i ).

tff('#skF_11',type,
    '#skF_11': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_335',type,
    '#skF_335': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff(c_Option_Ooption_Ooption__rec,type,
    c_Option_Ooption_Ooption__rec: ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_526',type,
    '#skF_526': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_292',type,
    '#skF_292': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_547',type,
    '#skF_547': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_173',type,
    '#skF_173': ( $i * $i * $i ) > $i ).

tff('#skF_95',type,
    '#skF_95': ( $i * $i * $i * $i * $i ) > $i ).

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

tff(c_Option_Omap,type,
    c_Option_Omap: ( $i * $i ) > $i ).

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

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

tff('#skF_120',type,
    '#skF_120': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_323',type,
    '#skF_323': ( $i * $i * $i ) > $i ).

tff('#skF_67',type,
    '#skF_67': ( $i * $i * $i * $i ) > $i ).

tff('#skF_89',type,
    '#skF_89': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_552',type,
    '#skF_552': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_98',type,
    '#skF_98': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_515',type,
    '#skF_515': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_377',type,
    '#skF_377': ( $i * $i * $i ) > $i ).

tff('#skF_71',type,
    '#skF_71': $i > $i ).

tff('#skF_197',type,
    '#skF_197': ( $i * $i ) > $i ).

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

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

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

tff('#skF_252',type,
    '#skF_252': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_32',type,
    '#skF_32': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_160',type,
    '#skF_160': ( $i * $i * $i ) > $i ).

tff('#skF_393',type,
    '#skF_393': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_343',type,
    '#skF_343': ( $i * $i * $i ) > $i ).

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

tff('#skF_320',type,
    '#skF_320': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

tff('#skF_35',type,
    '#skF_35': ( $i * $i * $i ) > $i ).

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

tff('#skF_450',type,
    '#skF_450': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_10',type,
    '#skF_10': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_74',type,
    '#skF_74': ( $i * $i ) > $i ).

tff('#skF_441',type,
    '#skF_441': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_510',type,
    '#skF_510': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_267',type,
    '#skF_267': ( $i * $i * $i ) > $i ).

tff('#skF_49',type,
    '#skF_49': ( $i * $i ) > $i ).

tff('#skF_415',type,
    '#skF_415': ( $i * $i * $i ) > $i ).

tff('#skF_361',type,
    '#skF_361': ( $i * $i ) > $i ).

tff(c_Smallcheck_Osmall_H,type,
    c_Smallcheck_Osmall_H: ( $i * $i * $i ) > $i ).

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

tff('#skF_336',type,
    '#skF_336': ( $i * $i * $i * $i ) > $i ).

tff('#skF_299',type,
    '#skF_299': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_331',type,
    '#skF_331': ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_448',type,
    '#skF_448': ( $i * $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': ( $i * $i * $i * $i ) > $i ).

tff('#skF_434',type,
    '#skF_434': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_264',type,
    '#skF_264': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_423',type,
    '#skF_423': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_536',type,
    '#skF_536': ( $i * $i ) > $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_506',type,
    '#skF_506': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_51',type,
    '#skF_51': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_225',type,
    '#skF_225': ( $i * $i * $i ) > $i ).

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

tff('#skF_163',type,
    '#skF_163': ( $i * $i * $i * $i ) > $i ).

tff('#skF_137',type,
    '#skF_137': ( $i * $i * $i ) > $i ).

tff('#skF_319',type,
    '#skF_319': ( $i * $i * $i ) > $i ).

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

tff(c_Map_Omap__comp,type,
    c_Map_Omap__comp: ( $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_480',type,
    '#skF_480': ( $i * $i ) > $i ).

tff('#skF_399',type,
    '#skF_399': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_378',type,
    '#skF_378': ( $i * $i * $i ) > $i ).

tff('#skF_141',type,
    '#skF_141': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_236',type,
    '#skF_236': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_76',type,
    '#skF_76': ( $i * $i * $i * $i ) > $i ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff(c_Map_Orestrict__map,type,
    c_Map_Orestrict__map: ( $i * $i * $i * $i ) > $i ).

tff('#skF_69',type,
    '#skF_69': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_492',type,
    '#skF_492': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_433',type,
    '#skF_433': ( $i * $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_153',type,
    '#skF_153': ( $i * $i ) > $i ).

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

tff('#skF_490',type,
    '#skF_490': ( $i * $i * $i ) > $i ).

tff('#skF_150',type,
    '#skF_150': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_367',type,
    '#skF_367': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_355',type,
    '#skF_355': ( $i * $i * $i ) > $i ).

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

tff('#skF_447',type,
    '#skF_447': ( $i * $i * $i * $i ) > $i ).

tff('#skF_420',type,
    '#skF_420': ( $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_22',type,
    '#skF_22': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(c_Map_Odom,type,
    c_Map_Odom: ( $i * $i * $i ) > $i ).

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

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

tff('#skF_519',type,
    '#skF_519': ( $i * $i * $i * $i ) > $i ).

tff('#skF_529',type,
    '#skF_529': ( $i * $i * $i * $i ) > $i ).

tff('#skF_376',type,
    '#skF_376': ( $i * $i ) > $i ).

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

tff('#skF_531',type,
    '#skF_531': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_446',type,
    '#skF_446': ( $i * $i ) > $i ).

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

tff('#skF_217',type,
    '#skF_217': ( $i * $i * $i ) > $i ).

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

tff('#skF_211',type,
    '#skF_211': $i > $i ).

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

tff('#skF_263',type,
    '#skF_263': ( $i * $i * $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_321',type,
    '#skF_321': ( $i * $i * $i ) > $i ).

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

tff('#skF_554',type,
    '#skF_554': ( $i * $i * $i ) > $i ).

tff('#skF_166',type,
    '#skF_166': ( $i * $i ) > $i ).

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

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

tff('#skF_36',type,
    '#skF_36': ( $i * $i ) > $i ).

tff('#skF_314',type,
    '#skF_314': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_184',type,
    '#skF_184': ( $i * $i * $i ) > $i ).

tff('#skF_29',type,
    '#skF_29': ( $i * $i * $i * $i ) > $i ).

tff('#skF_269',type,
    '#skF_269': $i > $i ).

tff('#skF_477',type,
    '#skF_477': ( $i * $i * $i ) > $i ).

tff('#skF_195',type,
    '#skF_195': ( $i * $i * $i ) > $i ).

tff('#skF_108',type,
    '#skF_108': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_161',type,
    '#skF_161': ( $i * $i * $i * $i ) > $i ).

tff('#skF_270',type,
    '#skF_270': ( $i * $i * $i ) > $i ).

tff('#skF_191',type,
    '#skF_191': ( $i * $i ) > $i ).

tff('#skF_105',type,
    '#skF_105': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_257',type,
    '#skF_257': ( $i * $i ) > $i ).

tff('#skF_119',type,
    '#skF_119': ( $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_362',type,
    '#skF_362': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_522',type,
    '#skF_522': ( $i * $i * $i ) > $i ).

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

tff('#skF_348',type,
    '#skF_348': ( $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_548',type,
    '#skF_548': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_489',type,
    '#skF_489': ( $i * $i * $i ) > $i ).

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

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

tff(v_Ga,type,
    v_Ga: $i ).

tff('#skF_56',type,
    '#skF_56': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_60',type,
    '#skF_60': ( $i * $i * $i ) > $i ).

tff('#skF_168',type,
    '#skF_168': ( $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_103',type,
    '#skF_103': ( $i * $i * $i * $i ) > $i ).

tff('#skF_541',type,
    '#skF_541': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_312',type,
    '#skF_312': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_192',type,
    '#skF_192': ( $i * $i * $i ) > $i ).

tff('#skF_452',type,
    '#skF_452': ( $i * $i * $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_3',type,
    '#skF_3': ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_250',type,
    '#skF_250': ( $i * $i * $i * $i ) > $i ).

tff('#skF_467',type,
    '#skF_467': ( $i * $i * $i * $i ) > $i ).

tff('#skF_90',type,
    '#skF_90': ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

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

tff(c_Smallcheck_Ofull__small_H,type,
    c_Smallcheck_Ofull__small_H: ( $i * $i * $i ) > $i ).

tff('#skF_406',type,
    '#skF_406': ( $i * $i * $i ) > $i ).

tff('#skF_43',type,
    '#skF_43': ( $i * $i * $i * $i ) > $i ).

tff('#skF_31',type,
    '#skF_31': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_164',type,
    '#skF_164': ( $i * $i ) > $i ).

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

tff('#skF_230',type,
    '#skF_230': ( $i * $i ) > $i ).

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

tff('#skF_431',type,
    '#skF_431': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_203',type,
    '#skF_203': ( $i * $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_34',type,
    '#skF_34': ( $i * $i * $i ) > $i ).

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

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i ) > $i ).

tff('#skF_413',type,
    '#skF_413': ( $i * $i * $i ) > $i ).

tff('#skF_381',type,
    '#skF_381': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_182',type,
    '#skF_182': ( $i * $i * $i ) > $i ).

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

tff('#skF_476',type,
    '#skF_476': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_157',type,
    '#skF_157': $i > $i ).

tff('#skF_542',type,
    '#skF_542': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_272',type,
    '#skF_272': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_287',type,
    '#skF_287': ( $i * $i ) > $i ).

tff('#skF_512',type,
    '#skF_512': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_444',type,
    '#skF_444': ( $i * $i ) > $i ).

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

tff('#skF_463',type,
    '#skF_463': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_528',type,
    '#skF_528': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_550',type,
    '#skF_550': ( $i * $i ) > $i ).

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

tff('#skF_402',type,
    '#skF_402': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_427',type,
    '#skF_427': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_465',type,
    '#skF_465': ( $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_295',type,
    '#skF_295': ( $i * $i * $i * $i ) > $i ).

tff(hAPP,type,
    hAPP: ( $i * $i ) > $i ).

tff(c_Smallcheck_Osmall_H__rel,type,
    c_Smallcheck_Osmall_H__rel: $i ).

tff('#skF_5',type,
    '#skF_5': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_185',type,
    '#skF_185': ( $i * $i * $i ) > $i ).

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

tff('#skF_186',type,
    '#skF_186': ( $i * $i * $i ) > $i ).

tff('#skF_401',type,
    '#skF_401': ( $i * $i ) > $i ).

tff(c_Option_Ooption_OSome,type,
    c_Option_Ooption_OSome: $i > $i ).

tff('#skF_221',type,
    '#skF_221': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_243',type,
    '#skF_243': ( $i * $i * $i * $i ) > $i ).

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

tff(c_Smallcheck_Osmall__class_Osmall,type,
    c_Smallcheck_Osmall__class_Osmall: $i > $i ).

tff('#skF_456',type,
    '#skF_456': ( $i * $i * $i ) > $i ).

tff('#skF_158',type,
    '#skF_158': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_81',type,
    '#skF_81': ( $i * $i ) > $i ).

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

tff('#skF_171',type,
    '#skF_171': ( $i * $i * $i ) > $i ).

tff('#skF_204',type,
    '#skF_204': ( $i * $i * $i ) > $i ).

tff('#skF_329',type,
    '#skF_329': ( $i * $i ) > $i ).

tff(c_Map_Omap__of,type,
    c_Map_Omap__of: ( $i * $i ) > $i ).

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

tff('#skF_403',type,
    '#skF_403': ( $i * $i * $i ) > $i ).

tff('#skF_464',type,
    '#skF_464': ( $i * $i ) > $i ).

tff('#skF_538',type,
    '#skF_538': ( $i * $i * $i * $i ) > $i ).

tff('#skF_136',type,
    '#skF_136': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_466',type,
    '#skF_466': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_127',type,
    '#skF_127': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_368',type,
    '#skF_368': ( $i * $i * $i * $i ) > $i ).

tff('#skF_373',type,
    '#skF_373': ( $i * $i * $i ) > $i ).

tff('#skF_117',type,
    '#skF_117': ( $i * $i * $i * $i ) > $i ).

tff('#skF_91',type,
    '#skF_91': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_277',type,
    '#skF_277': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_409',type,
    '#skF_409': ( $i * $i ) > $i ).

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

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

tff('#skF_347',type,
    '#skF_347': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_88',type,
    '#skF_88': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_285',type,
    '#skF_285': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_315',type,
    '#skF_315': ( $i * $i * $i ) > $i ).

tff('#skF_478',type,
    '#skF_478': ( $i * $i * $i ) > $i ).

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

tff('#skF_472',type,
    '#skF_472': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_488',type,
    '#skF_488': ( $i * $i * $i ) > $i ).

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

tff('#skF_396',type,
    '#skF_396': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_170',type,
    '#skF_170': ( $i * $i * $i ) > $i ).

tff('#skF_239',type,
    '#skF_239': ( $i * $i * $i ) > $i ).

tff('#skF_201',type,
    '#skF_201': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_224',type,
    '#skF_224': ( $i * $i * $i ) > $i ).

tff('#skF_273',type,
    '#skF_273': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_346',type,
    '#skF_346': ( $i * $i * $i * $i ) > $i ).

tff('#skF_162',type,
    '#skF_162': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_172',type,
    '#skF_172': ( $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_458',type,
    '#skF_458': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_58',type,
    '#skF_58': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_17',type,
    '#skF_17': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_154',type,
    '#skF_154': $i > $i ).

tff('#skF_524',type,
    '#skF_524': ( $i * $i * $i ) > $i ).

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

tff('#skF_169',type,
    '#skF_169': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_62',type,
    '#skF_62': ( $i * $i * $i * $i ) > $i ).

tff('#skF_288',type,
    '#skF_288': ( $i * $i ) > $i ).

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

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

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

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

tff('#skF_339',type,
    '#skF_339': $i > $i ).

tff('#skF_537',type,
    '#skF_537': ( $i * $i * $i ) > $i ).

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

tff('#skF_57',type,
    '#skF_57': ( $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_487',type,
    '#skF_487': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_39',type,
    '#skF_39': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_228',type,
    '#skF_228': ( $i * $i * $i ) > $i ).

tff('#skF_274',type,
    '#skF_274': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': ( $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_101',type,
    '#skF_101': ( $i * $i * $i ) > $i ).

tff('#skF_391',type,
    '#skF_391': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_174',type,
    '#skF_174': ( $i * $i * $i ) > $i ).

tff('#skF_125',type,
    '#skF_125': ( $i * $i ) > $i ).

tff('#skF_337',type,
    '#skF_337': ( $i * $i * $i ) > $i ).

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

tff('#skF_297',type,
    '#skF_297': ( $i * $i * $i * $i ) > $i ).

tff('#skF_327',type,
    '#skF_327': ( $i * $i * $i ) > $i ).

tff('#skF_223',type,
    '#skF_223': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_302',type,
    '#skF_302': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_508',type,
    '#skF_508': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_374',type,
    '#skF_374': ( $i * $i * $i ) > $i ).

tff('#skF_534',type,
    '#skF_534': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_514',type,
    '#skF_514': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_352',type,
    '#skF_352': ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_177',type,
    '#skF_177': ( $i * $i ) > $i ).

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

tff('#skF_159',type,
    '#skF_159': ( $i * $i * $i ) > $i ).

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

tff('#skF_189',type,
    '#skF_189': ( $i * $i ) > $i ).

tff('#skF_398',type,
    '#skF_398': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_248',type,
    '#skF_248': ( $i * $i * $i * $i ) > $i ).

tff('#skF_470',type,
    '#skF_470': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_430',type,
    '#skF_430': ( $i * $i * $i ) > $i ).

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

tff('#skF_83',type,
    '#skF_83': ( $i * $i * $i ) > $i ).

tff('#skF_303',type,
    '#skF_303': ( $i * $i * $i ) > $i ).

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

tff('#skF_392',type,
    '#skF_392': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_200',type,
    '#skF_200': ( $i * $i * $i ) > $i ).

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

tff('#skF_106',type,
    '#skF_106': ( $i * $i ) > $i ).

tff('#skF_351',type,
    '#skF_351': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_231',type,
    '#skF_231': ( $i * $i ) > $i ).

tff('#skF_82',type,
    '#skF_82': ( $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_116',type,
    '#skF_116': ( $i * $i ) > $i ).

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

tff('#skF_123',type,
    '#skF_123': ( $i * $i ) > $i ).

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

tff('#skF_215',type,
    '#skF_215': ( $i * $i * $i ) > $i ).

tff('#skF_453',type,
    '#skF_453': ( $i * $i ) > $i ).

tff('#skF_407',type,
    '#skF_407': ( $i * $i * $i ) > $i ).

tff('#skF_138',type,
    '#skF_138': ( $i * $i * $i * $i ) > $i ).

tff('#skF_139',type,
    '#skF_139': ( $i * $i * $i ) > $i ).

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

tff('#skF_345',type,
    '#skF_345': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_278',type,
    '#skF_278': ( $i * $i * $i ) > $i ).

tff('#skF_155',type,
    '#skF_155': $i > $i ).

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

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

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

tff('#skF_140',type,
    '#skF_140': ( $i * $i * $i * $i ) > $i ).

tff('#skF_326',type,
    '#skF_326': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_474',type,
    '#skF_474': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_114',type,
    '#skF_114': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_543',type,
    '#skF_543': ( $i * $i * $i * $i ) > $i ).

tff('#skF_229',type,
    '#skF_229': ( $i * $i * $i ) > $i ).

tff('#skF_298',type,
    '#skF_298': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_227',type,
    '#skF_227': $i > $i ).

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

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

tff('#skF_259',type,
    '#skF_259': ( $i * $i ) > $i ).

tff('#skF_521',type,
    '#skF_521': ( $i * $i * $i ) > $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_220',type,
    '#skF_220': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_253',type,
    '#skF_253': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_296',type,
    '#skF_296': ( $i * $i * $i * $i ) > $i ).

tff('#skF_483',type,
    '#skF_483': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_382',type,
    '#skF_382': ( $i * $i ) > $i ).

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

tff('#skF_213',type,
    '#skF_213': ( $i * $i * $i ) > $i ).

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

tff('#skF_293',type,
    '#skF_293': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_442',type,
    '#skF_442': ( $i * $i * $i ) > $i ).

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

tff('#skF_496',type,
    '#skF_496': ( $i * $i * $i ) > $i ).

tff('#skF_383',type,
    '#skF_383': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_26',type,
    '#skF_26': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_332',type,
    '#skF_332': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_380',type,
    '#skF_380': $i > $i ).

tff('#skF_486',type,
    '#skF_486': ( $i * $i * $i ) > $i ).

tff('#skF_366',type,
    '#skF_366': ( $i * $i * $i * $i ) > $i ).

tff('#skF_387',type,
    '#skF_387': ( $i * $i * $i ) > $i ).

tff('#skF_354',type,
    '#skF_354': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_310',type,
    '#skF_310': ( $i * $i * $i * $i ) > $i ).

tff('#skF_40',type,
    '#skF_40': ( $i * $i * $i * $i ) > $i ).

tff('#skF_210',type,
    '#skF_210': ( $i * $i ) > $i ).

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i ) > $i ).

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

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

tff('#skF_386',type,
    '#skF_386': ( $i * $i ) > $i ).

tff('#skF_135',type,
    '#skF_135': ( $i * $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_238',type,
    '#skF_238': ( $i * $i * $i ) > $i ).

tff('#skF_262',type,
    '#skF_262': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_484',type,
    '#skF_484': ( $i * $i * $i ) > $i ).

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

tff('#skF_459',type,
    '#skF_459': ( $i * $i * $i ) > $i ).

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

tff('#skF_436',type,
    '#skF_436': ( $i * $i ) > $i ).

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

tff('#skF_130',type,
    '#skF_130': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_283',type,
    '#skF_283': ( $i * $i * $i ) > $i ).

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

tff('#skF_460',type,
    '#skF_460': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_435',type,
    '#skF_435': ( $i * $i ) > $i ).

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

tff(c_Smallcheck_Oorelse,type,
    c_Smallcheck_Oorelse: ( $i * $i * $i ) > $i ).

tff('#skF_30',type,
    '#skF_30': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_395',type,
    '#skF_395': ( $i * $i * $i * $i ) > $i ).

tff('#skF_86',type,
    '#skF_86': ( $i * $i * $i * $i ) > $i ).

tff('#skF_364',type,
    '#skF_364': ( $i * $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_365',type,
    '#skF_365': ( $i * $i * $i * $i ) > $i ).

tff('#skF_27',type,
    '#skF_27': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_451',type,
    '#skF_451': ( $i * $i * $i * $i ) > $i ).

tff('#skF_53',type,
    '#skF_53': ( $i * $i * $i ) > $i ).

tff('#skF_194',type,
    '#skF_194': ( $i * $i * $i ) > $i ).

tff('#skF_350',type,
    '#skF_350': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_111',type,
    '#skF_111': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_507',type,
    '#skF_507': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_414',type,
    '#skF_414': ( $i * $i * $i ) > $i ).

tff('#skF_539',type,
    '#skF_539': ( $i * $i * $i * $i ) > $i ).

tff('#skF_546',type,
    '#skF_546': ( $i * $i * $i ) > $i ).

tff('#skF_79',type,
    '#skF_79': ( $i * $i ) > $i ).

tff('#skF_256',type,
    '#skF_256': ( $i * $i ) > $i ).

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

tff('#skF_333',type,
    '#skF_333': $i > $i ).

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

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

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

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

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

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

tff('#skF_145',type,
    '#skF_145': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_271',type,
    '#skF_271': ( $i * $i ) > $i ).

tff('#skF_457',type,
    '#skF_457': ( $i * $i * $i * $i ) > $i ).

tff('#skF_246',type,
    '#skF_246': ( $i * $i * $i ) > $i ).

tff('#skF_294',type,
    '#skF_294': ( $i * $i * $i * $i ) > $i ).

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

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

tff(c_Option_Ooption_ONone,type,
    c_Option_Ooption_ONone: $i > $i ).

tff('#skF_109',type,
    '#skF_109': ( $i * $i ) > $i ).

tff('#skF_129',type,
    '#skF_129': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

tff(f_1059,axiom,
    ! [V_P_2,T_b] : ( hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).

tff(f_1057,axiom,
    ! [V_a_2,T_b] : ( hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_singleton__conv2) ).

tff(f_40,axiom,
    ! [V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_a2_2,c_Com_Ocom_OSKIP,V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_hoare__derivs_Oequations_I7_J) ).

tff(f_4440,axiom,
    ! [V_x_2,T_b] : ( c_Option_Oset(T_b,hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Option_Oset_Osimps_I2_J) ).

tff(f_26640,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(c_654,plain,
    ! [T_b_936,V_P_2_935] : ( hAPP(c_Set_OCollect(T_b_936),V_P_2_935) = V_P_2_935 ),
    inference(cnfTransformation,[status(thm)],[f_1059]) ).

tff(c_652,plain,
    ! [T_b_934,V_a_2_933] : ( hAPP(hAPP(c_Set_Oinsert(T_b_934),V_a_2_933),c_Orderings_Obot__class_Obot(tc_fun(T_b_934,tc_HOL_Obool))) = hAPP(c_Set_OCollect(T_b_934),hAPP(c_fequal,V_a_2_933)) ),
    inference(cnfTransformation,[status(thm)],[f_1057]) ).

tff(c_18197,plain,
    ! [T_b_934,V_a_2_933] : ( hAPP(hAPP(c_Set_Oinsert(T_b_934),V_a_2_933),c_Orderings_Obot__class_Obot(tc_fun(T_b_934,tc_HOL_Obool))) = hAPP(c_fequal,V_a_2_933) ),
    inference(demodulation,[status(thm),theory(equality)],[c_654,c_652]) ).

tff(c_10,plain,
    ! [T_b_13,V_a1_2_12,V_a2_2_11] : c_Hoare__Mirabelle_Ohoare__derivs(T_b_13,V_a1_2_12,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b_13)),c_Hoare__Mirabelle_Otriple_Otriple(T_b_13,V_a2_2_11,c_Com_Ocom_OSKIP,V_a2_2_11)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b_13),tc_HOL_Obool)))),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_18441,plain,
    ! [T_b_13,V_a1_2_12,V_a2_2_11] : c_Hoare__Mirabelle_Ohoare__derivs(T_b_13,V_a1_2_12,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b_13,V_a2_2_11,c_Com_Ocom_OSKIP,V_a2_2_11))),
    inference(demodulation,[status(thm),theory(equality)],[c_18197,c_10]) ).

tff(c_2432,plain,
    ! [T_b_3447,V_x_2_3446] : ( hAPP(hAPP(c_Set_Oinsert(T_b_3447),V_x_2_3446),c_Orderings_Obot__class_Obot(tc_fun(T_b_3447,tc_HOL_Obool))) = c_Option_Oset(T_b_3447,hAPP(c_Option_Ooption_OSome(T_b_3447),V_x_2_3446)) ),
    inference(cnfTransformation,[status(thm)],[f_4440]) ).

tff(c_18200,plain,
    ! [T_b_3447,V_x_2_3446] : ( c_Option_Oset(T_b_3447,hAPP(c_Option_Ooption_OSome(T_b_3447),V_x_2_3446)) = hAPP(c_fequal,V_x_2_3446) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18197,c_2432]) ).

tff(c_15256,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(cnfTransformation,[status(thm)],[f_26640]) ).

tff(c_17617,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,c_Option_Oset(tc_Hoare__Mirabelle_Otriple(t_a),hAPP(c_Option_Ooption_OSome(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)))),
    inference(demodulation,[status(thm),theory(equality)],[c_2432,c_15256]) ).

tff(c_18226,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P))),
    inference(demodulation,[status(thm),theory(equality)],[c_18200,c_17617]) ).

tff(c_18443,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18441,c_18226]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW317+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 19:29:36 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 237.97/176.87  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 237.97/176.87  
% 237.97/176.87  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 238.07/176.92  
% 238.07/176.92  Inference rules
% 238.07/176.92  ----------------------
% 238.07/176.92  #Ref     : 0
% 238.07/176.92  #Sup     : 0
% 238.07/176.92  #Fact    : 0
% 238.07/176.92  #Define  : 0
% 238.07/176.92  #Split   : 0
% 238.07/176.92  #Chain   : 0
% 238.07/176.92  #Close   : 0
% 238.07/176.92  
% 238.07/176.92  Ordering : KBO
% 238.07/176.92  
% 238.07/176.92  Simplification rules
% 238.07/176.92  ----------------------
% 238.07/176.92  #Subsume      : 7065
% 238.07/176.92  #Demod        : 4621
% 238.07/176.92  #Tautology    : 512
% 238.07/176.92  #SimpNegUnit  : 7
% 238.07/176.92  #BackRed      : 0
% 238.07/176.92  
% 238.07/176.92  #Partial instantiations: 0
% 238.07/176.92  #Strategies tried      : 1
% 238.07/176.92  
% 238.07/176.92  Timing (in seconds)
% 238.07/176.92  ----------------------
% 238.07/176.93  Preprocessing        : 23.40
% 238.07/176.93  Parsing              : 6.97
% 238.07/176.93  CNF conversion       : 0.50
% 238.07/176.93  Main loop            : 152.43
% 238.07/176.93  Inferencing          : 0.00
% 238.07/176.93  Reduction            : 121.28
% 238.07/176.93  Demodulation         : 104.09
% 238.07/176.93  BG Simplification    : 0.86
% 238.07/176.93  Subsumption          : 21.07
% 238.07/176.93  Abstraction          : 1.37
% 238.07/176.93  MUC search           : 0.00
% 238.07/176.93  Cooper               : 0.00
% 238.07/176.93  Total                : 175.90
% 238.07/176.93  Index Insertion      : 0.00
% 238.07/176.93  Index Deletion       : 0.00
% 238.21/176.93  Index Matching       : 0.00
% 238.21/176.93  BG Taut test         : 0.00
%------------------------------------------------------------------------------