%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW386+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:50 AM UTC 2026 % Result : Theorem 6.41s 6.68s % Output : Proof 6.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW386+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:54:47 EDT 2026 % 0.16/0.34 % CPUTime : % 1.05/1.98 %----Proving TF0_NAR, FOF, or CNF % 6.41/6.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.41/6.68 % SZS status Theorem % 6.41/6.68 % SZS output start Proof % 6.41/6.68 ( % 6.41/6.68 (declare-sort $$unsorted 0) % 6.41/6.68 (declare-const tptp.v_pn $$unsorted) % 6.41/6.68 (declare-const tptp.v_y $$unsorted) % 6.41/6.68 (declare-const tptp.tc_Com_Ovname $$unsorted) % 6.41/6.68 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Lazy__Sequence_Osmall__lazy (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Oyield (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_HOL_Oequal__class_Oequal (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 6.41/6.68 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 6.41/6.68 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Omeasures (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_OremoveAll (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_HOL_Oequal (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Olinorder__class_Osort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Enum_Oenum__class_Oenum (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Enum_Oenum__the (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Enum_On__lists (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Oembed__list (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Oreturn__list (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Omap__filter (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 6.41/6.68 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Hilbert__Choice_OGreatestM (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Map_Omap__upds (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__DSequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Map_Omap__of (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Enum_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 6.41/6.68 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Option_Omap (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 6.41/6.68 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olist__ex1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 6.41/6.68 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 6.41/6.68 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Hilbert__Choice_OGreatest (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 6.41/6.68 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 6.41/6.68 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 6.41/6.68 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 6.41/6.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.tc_Com_Ostate $$unsorted) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Enum_Oenum__class_Oenum__all (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Enum_Oex__n__lists (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Hoare__Mirabelle_OMGT $$unsorted) % 6.41/6.68 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 6.41/6.68 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_OInteg $$unsorted) % 6.41/6.68 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_FunDef_Ois__measure (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Map_Omap__add (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.tc_Com_Opname $$unsorted) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OInsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 6.41/6.68 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Com_Ocom_OCall (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Option_Ooption_Ooption__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Option_Ooption_Ooption__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Map_Oran (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 6.41/6.68 (declare-const tptp.c_Com_Ocom_Ocom__size (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Oyieldn (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_OPls $$unsorted) % 6.41/6.68 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Enum_Oenum__class_Oenum__ex (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Smallcheck_Ofull__small_H (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_Onat $$unsorted) % 6.41/6.68 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_fimplies $$unsorted) % 6.41/6.68 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Option_Oset (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Nat_Osize (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Hilbert__Choice_OLeastM (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Com_OWT__bodies Bool) % 6.41/6.68 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H__rel $$unsorted) % 6.41/6.68 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nat_OSuc $$unsorted) % 6.41/6.68 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Enum_Osublists (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.tc_HOL_Obool $$unsorted) % 6.41/6.68 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_OMin $$unsorted) % 6.41/6.68 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Omaps (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Enum_Oall__n__lists (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 6.41/6.68 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 6.41/6.68 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_Ointrel $$unsorted) % 6.41/6.68 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 6.41/6.68 (declare-const tptp.c_Natural_Oevaln $$unsorted) % 6.41/6.68 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.tc_Nat_Onat $$unsorted) % 6.41/6.68 (declare-const tptp.c_Map_Omap__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Smallcheck_Osmall_H (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.tc_Int_Oint $$unsorted) % 6.41/6.68 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Map_Orestrict__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_fdisj $$unsorted) % 6.41/6.68 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Com_Obody $$unsorted) % 6.41/6.68 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_fFalse $$unsorted) % 6.41/6.68 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Option_Ois__none (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 6.41/6.68 (declare-const tptp.c_Smallcheck_Osmall_H__rel $$unsorted) % 6.41/6.68 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_fequal $$unsorted) % 6.41/6.68 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 6.41/6.68 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 6.41/6.68 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Smallcheck_Oorelse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Com_Obodies $$unsorted) % 6.41/6.68 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.tc_Com_Ocom $$unsorted) % 6.41/6.68 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 6.41/6.68 (declare-const tptp.c_Com_OWT $$unsorted) % 6.41/6.68 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_fNot $$unsorted) % 6.41/6.68 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_fconj $$unsorted) % 6.41/6.68 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Smallcheck_Osmall__class_Osmall (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Smallcheck_Osmall (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 6.41/6.68 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 6.41/6.68 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 6.41/6.68 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.v_c $$unsorted) % 6.41/6.68 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Smallcheck_Ofull__small__class_Ofull__small (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_fTrue $$unsorted) % 6.41/6.68 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 6.41/6.68 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 6.41/6.68 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 6.41/6.68 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.41/6.68 (define @t1 () (@var "V_g_2" $$unsorted)) % 6.41/6.68 (define @t2 () (@var "V_f_2" $$unsorted)) % 6.41/6.68 (define @t3 () (@var "B_x" $$unsorted)) % 6.41/6.68 (define @t4 () (tptp.hAPP @t1 @t3)) % 6.41/6.68 (define @t5 () (tptp.hAPP @t2 @t3)) % 6.41/6.68 (define @t6 () (= @t5 @t4)) % 6.41/6.68 (define @t7 () (@list @t3)) % 6.41/6.68 (define @t8 () (@var "T_a" $$unsorted)) % 6.41/6.68 (define @t9 () (tptp.tc_Hoare__Mirabelle_Otriple @t8)) % 6.41/6.68 (define @t10 () (tptp.tc_fun @t9 tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t11 () (tptp.c_Orderings_Obot__class_Obot @t10)) % 6.41/6.68 (define @t12 () (@var "V_G_2" $$unsorted)) % 6.41/6.68 (define @t13 () (@var "V_a_2" $$unsorted)) % 6.41/6.68 (define @t14 () (@list @t13 @t8)) % 6.41/6.68 (define @t15 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 6.41/6.68 (define @t16 () (tptp.tc_fun @t15 tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t17 () (tptp.c_Orderings_Obot__class_Obot @t16)) % 6.41/6.68 (define @t18 () (@var "V_ca_2" $$unsorted)) % 6.41/6.68 (define @t19 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t18)) % 6.41/6.68 (define @t20 () (tptp.c_Set_Oinsert @t15)) % 6.41/6.68 (define @t21 () (tptp.hAPP (tptp.hAPP @t20 @t19) @t17)) % 6.41/6.68 (define @t22 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t17 @t21)) % 6.41/6.68 (define @t23 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t18))) % 6.41/6.68 (define @t24 () (=> @t23 @t22)) % 6.41/6.68 (define @t25 () (=> tptp.c_Com_OWT__bodies @t24)) % 6.41/6.68 (define @t26 () (@list @t18)) % 6.41/6.68 (define @t27 () (forall @t26 (=> tptp.c_Hoare__Mirabelle_Ostate__not__singleton @t25))) % 6.41/6.68 (define @t28 () (@var "V_ts_2" $$unsorted)) % 6.41/6.68 (define @t29 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t28)) % 6.41/6.68 (define @t30 () (@var "V_G_H_2" $$unsorted)) % 6.41/6.68 (define @t31 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t30 @t28)) % 6.41/6.68 (define @t32 () (@list @t12 @t28 @t30 @t8)) % 6.41/6.68 (define @t33 () (@var "V_t_2" $$unsorted)) % 6.41/6.68 (define @t34 () (tptp.c_Set_Oinsert @t9)) % 6.41/6.68 (define @t35 () (tptp.hAPP @t34 @t33)) % 6.41/6.68 (define @t36 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP @t35 @t28))) % 6.41/6.68 (define @t37 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP @t35 @t11))) % 6.41/6.68 (define @t38 () (@list @t28 @t33 @t12 @t8)) % 6.41/6.68 (define @t39 () (@var "V_b" $$unsorted)) % 6.41/6.68 (define @t40 () (tptp.c_Option_Ooption_OSome tptp.tc_Com_Ocom)) % 6.41/6.68 (define @t41 () (@var "V_pn" $$unsorted)) % 6.41/6.68 (define @t42 () (tptp.hAPP tptp.c_Com_Obody @t41)) % 6.41/6.68 (define @t43 () (@var "B_y" $$unsorted)) % 6.41/6.68 (define @t44 () (tptp.hAPP @t40 @t43)) % 6.41/6.68 (define @t45 () (@list @t43)) % 6.41/6.68 (define @t46 () (@var "V_pn_2" $$unsorted)) % 6.41/6.68 (define @t47 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t46)) % 6.41/6.68 (define @t48 () (tptp.hAPP @t20 (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t47))) % 6.41/6.68 (define @t49 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 6.41/6.68 (define @t50 () (tptp.hAPP @t49 (tptp.hAPP tptp.c_Com_Obody @t46))) % 6.41/6.68 (define @t51 () (@var "V_A_2" $$unsorted)) % 6.41/6.68 (define @t52 () (tptp.c_Set_Oinsert @t8)) % 6.41/6.68 (define @t53 () (tptp.hAPP @t52 @t13)) % 6.41/6.68 (define @t54 () (tptp.hAPP @t53 @t51)) % 6.41/6.68 (define @t55 () (tptp.tc_fun @t8 tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t56 () (tptp.c_Orderings_Obot__class_Obot @t55)) % 6.41/6.68 (define @t57 () (@list @t51 @t13 @t8)) % 6.41/6.68 (define @t58 () (@var "V_b_2" $$unsorted)) % 6.41/6.68 (define @t59 () (= @t58 @t18)) % 6.41/6.68 (define @t60 () (@var "V_d_2" $$unsorted)) % 6.41/6.68 (define @t61 () (= @t58 @t60)) % 6.41/6.68 (define @t62 () (= @t13 @t18)) % 6.41/6.68 (define @t63 () (and @t62 @t61)) % 6.41/6.68 (define @t64 () (tptp.hAPP @t52 @t18)) % 6.41/6.68 (define @t65 () (tptp.hAPP @t52 @t58)) % 6.41/6.68 (define @t66 () (tptp.hAPP @t65 @t56)) % 6.41/6.68 (define @t67 () (tptp.hAPP @t53 @t66)) % 6.41/6.68 (define @t68 () (@list @t60 @t18 @t58 @t13 @t8)) % 6.41/6.68 (define @t69 () (= @t13 @t58)) % 6.41/6.68 (define @t70 () (tptp.hAPP @t53 @t56)) % 6.41/6.68 (define @t71 () (@list @t58 @t13 @t8)) % 6.41/6.68 (define @t72 () (tptp.c_Orderings_Obot__class_Obot @t8)) % 6.41/6.68 (define @t73 () (@var "V_x_2" $$unsorted)) % 6.41/6.68 (define @t74 () (@var "T_b" $$unsorted)) % 6.41/6.68 (define @t75 () (tptp.tc_fun @t74 @t8)) % 6.41/6.68 (define @t76 () (tptp.class_Orderings_Obot @t8)) % 6.41/6.68 (define @t77 () (@list @t73 @t74 @t8)) % 6.41/6.68 (define @t78 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t12 @t21)) % 6.41/6.68 (define @t79 () (tptp.c_Map_Odom tptp.tc_Com_Opname tptp.tc_Com_Ocom tptp.c_Com_Obody)) % 6.41/6.68 (define @t80 () (tptp.c_member tptp.tc_Com_Opname)) % 6.41/6.68 (define @t81 () (@list @t18 @t12)) % 6.41/6.68 (define @t82 () (@var "V_P" $$unsorted)) % 6.41/6.68 (define @t83 () (tptp.hAPP tptp.c_Com_Obody @t82)) % 6.41/6.68 (define @t84 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t82)) % 6.41/6.68 (define @t85 () (tptp.hAPP @t52 @t73)) % 6.41/6.68 (define @t86 () (tptp.hAPP @t85 @t56)) % 6.41/6.68 (define @t87 () (tptp.c_Option_Ooption_OSome @t8)) % 6.41/6.68 (define @t88 () (tptp.hAPP @t87 @t73)) % 6.41/6.68 (define @t89 () (@list @t73 @t8)) % 6.41/6.68 (define @t90 () (@var "V_pname_H_2" $$unsorted)) % 6.41/6.68 (define @t91 () (@var "V_pname_2" $$unsorted)) % 6.41/6.68 (define @t92 () (= @t91 @t90)) % 6.41/6.68 (define @t93 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t90)) % 6.41/6.68 (define @t94 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t91)) % 6.41/6.68 (define @t95 () (@var "V_x" $$unsorted)) % 6.41/6.68 (define @t96 () (tptp.c_Option_Othe @t8)) % 6.41/6.68 (define @t97 () (@list @t95 @t8)) % 6.41/6.68 (define @t98 () (tptp.hAPP @t51 @t73)) % 6.41/6.68 (define @t99 () (tptp.hBOOL @t98)) % 6.41/6.68 (define @t100 () (@var "V_y_2" $$unsorted)) % 6.41/6.68 (define @t101 () (= @t100 @t73)) % 6.41/6.68 (define @t102 () (tptp.hAPP @t52 @t100)) % 6.41/6.68 (define @t103 () (tptp.hAPP @t102 @t51)) % 6.41/6.68 (define @t104 () (tptp.hAPP @t85 @t51)) % 6.41/6.68 (define @t105 () (@list @t51 @t100 @t73 @t8)) % 6.41/6.68 (define @t106 () (@list @t51 @t73 @t8)) % 6.41/6.68 (define @t107 () (@var "V_a_H_2" $$unsorted)) % 6.41/6.68 (define @t108 () (= @t13 @t107)) % 6.41/6.68 (define @t109 () (tptp.hAPP @t87 @t13)) % 6.41/6.68 (define @t110 () (tptp.c_Map_Odom @t74 @t8 @t2)) % 6.41/6.68 (define @t111 () (tptp.c_Set_Oinsert @t74)) % 6.41/6.68 (define @t112 () (tptp.hAPP @t111 @t73)) % 6.41/6.68 (define @t113 () (tptp.hAPP @t112 @t110)) % 6.41/6.68 (define @t114 () (tptp.hAPP @t87 @t100)) % 6.41/6.68 (define @t115 () (tptp.hAPP @t2 @t73)) % 6.41/6.68 (define @t116 () (@var "V_Q_2" $$unsorted)) % 6.41/6.68 (define @t117 () (@var "V_P_2" $$unsorted)) % 6.41/6.68 (define @t118 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t8)) % 6.41/6.68 (define @t119 () (tptp.hAPP @t118 @t117)) % 6.41/6.68 (define @t120 () (tptp.hAPP (tptp.hAPP @t119 @t47) @t116)) % 6.41/6.68 (define @t121 () (tptp.hAPP @t34 @t120)) % 6.41/6.68 (define @t122 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP @t121 @t11))) % 6.41/6.68 (define @t123 () (tptp.hAPP (tptp.hAPP @t119 @t50) @t116)) % 6.41/6.68 (define @t124 () (tptp.hAPP (tptp.hAPP @t34 @t123) @t11)) % 6.41/6.68 (define @t125 () (@var "V_f2_2" $$unsorted)) % 6.41/6.68 (define @t126 () (tptp.hAPP @t125 @t13)) % 6.41/6.68 (define @t127 () (tptp.c_Option_Ooption_OSome @t74)) % 6.41/6.68 (define @t128 () (tptp.hAPP @t127 @t13)) % 6.41/6.68 (define @t129 () (@var "V_f1_2" $$unsorted)) % 6.41/6.68 (define @t130 () (tptp.c_Option_Ooption_Ooption__case @t8 @t74 @t129 @t125)) % 6.41/6.68 (define @t131 () (@list @t13 @t125 @t129 @t74 @t8)) % 6.41/6.68 (define @t132 () (tptp.hAPP @t117 @t73)) % 6.41/6.68 (define @t133 () (tptp.hBOOL @t132)) % 6.41/6.68 (define @t134 () (tptp.hAPP @t117 @t3)) % 6.41/6.68 (define @t135 () (tptp.hBOOL @t134)) % 6.41/6.68 (define @t136 () (tptp.c_member @t8)) % 6.41/6.68 (define @t137 () (tptp.hAPP @t136 @t3)) % 6.41/6.68 (define @t138 () (@var "V_X_2" $$unsorted)) % 6.41/6.68 (define @t139 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t41)) % 6.41/6.68 (define @t140 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t139))) % 6.41/6.68 (define @t141 () (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom)) % 6.41/6.68 (define @t142 () (= @t42 @t141)) % 6.41/6.68 (define @t143 () (not @t142)) % 6.41/6.68 (define @t144 () (@list @t41)) % 6.41/6.68 (define @t145 () (forall @t144 (=> @t143 @t140))) % 6.41/6.68 (define @t146 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate)) % 6.41/6.68 (define @t147 () (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t146 @t117) @t18) @t116)) @t17)) % 6.41/6.68 (define @t148 () (tptp.c_Finite__Set_Ofinite tptp.tc_Com_Opname)) % 6.41/6.68 (define @t149 () (tptp.c_Option_Ooption_ONone @t8)) % 6.41/6.68 (define @t150 () (@list @t8)) % 6.41/6.68 (define @t151 () (= @t73 @t149)) % 6.41/6.68 (define @t152 () (@var "V_fun_H_2" $$unsorted)) % 6.41/6.68 (define @t153 () (@var "V_fun_2" $$unsorted)) % 6.41/6.68 (define @t154 () (= @t153 @t152)) % 6.41/6.68 (define @t155 () (@var "V_vname_H_2" $$unsorted)) % 6.41/6.68 (define @t156 () (@var "V_vname_2" $$unsorted)) % 6.41/6.68 (define @t157 () (tptp.c_Com_Ocom_OCall @t155 @t90 @t152)) % 6.41/6.68 (define @t158 () (tptp.c_Com_Ocom_OCall @t156 @t91 @t153)) % 6.41/6.68 (define @t159 () (tptp.c_Option_Ooption_ONone @t74)) % 6.41/6.68 (define @t160 () (@list @t125 @t129 @t74 @t8)) % 6.41/6.68 (define @t161 () (@var "V_fun2_H_2" $$unsorted)) % 6.41/6.68 (define @t162 () (@var "V_fun2_2" $$unsorted)) % 6.41/6.68 (define @t163 () (@var "V_com_H_2" $$unsorted)) % 6.41/6.68 (define @t164 () (@var "V_com_2" $$unsorted)) % 6.41/6.68 (define @t165 () (= @t164 @t163)) % 6.41/6.68 (define @t166 () (@var "V_fun1_H_2" $$unsorted)) % 6.41/6.68 (define @t167 () (@var "V_fun1_2" $$unsorted)) % 6.41/6.68 (define @t168 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t118 @t167) @t164) @t162)) % 6.41/6.68 (define @t169 () (@var "V_a_H" $$unsorted)) % 6.41/6.68 (define @t170 () (tptp.hAPP @t87 @t169)) % 6.41/6.68 (define @t171 () (@list @t169 @t8)) % 6.41/6.68 (define @t172 () (= @t73 (tptp.hAPP @t87 @t43))) % 6.41/6.68 (define @t173 () (@list @t8 @t73)) % 6.41/6.68 (define @t174 () (@var "V_xo_2" $$unsorted)) % 6.41/6.68 (define @t175 () (tptp.c_Option_Oset @t8 @t174)) % 6.41/6.68 (define @t176 () (@var "V_a1_2" $$unsorted)) % 6.41/6.68 (define @t177 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t176)) % 6.41/6.68 (define @t178 () (@var "V_a3_2" $$unsorted)) % 6.41/6.68 (define @t179 () (@var "V_a2_2" $$unsorted)) % 6.41/6.68 (define @t180 () (tptp.c_Hoare__Mirabelle_Ohoare__valids @t8 @t12 @t28)) % 6.41/6.68 (define @t181 () (@list @t28 @t12 @t8)) % 6.41/6.68 (define @t182 () (tptp.c_Finite__Set_Ofinite @t8)) % 6.41/6.68 (define @t183 () (tptp.hBOOL (tptp.hAPP @t182 @t54))) % 6.41/6.68 (define @t184 () (tptp.hBOOL (tptp.hAPP @t182 @t51))) % 6.41/6.68 (define @t185 () (@list @t13 @t51 @t8)) % 6.41/6.68 (define @t186 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t129 @t167) @t164) @t162)) % 6.41/6.68 (define @t187 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t74)) % 6.41/6.68 (define @t188 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t187 @t167) @t164) @t162)) % 6.41/6.68 (define @t189 () (@list @t162 @t164 @t167 @t129 @t8 @t74)) % 6.41/6.68 (define @t190 () (tptp.hAPP @t119 @t18)) % 6.41/6.68 (define @t191 () (tptp.hAPP @t190 @t116)) % 6.41/6.68 (define @t192 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 @t191) @t11))) % 6.41/6.68 (define @t193 () (@var "B_s" $$unsorted)) % 6.41/6.68 (define @t194 () (@var "B_Z" $$unsorted)) % 6.41/6.68 (define @t195 () (tptp.hAPP @t116 @t194)) % 6.41/6.68 (define @t196 () (@var "V_Q_H_2" $$unsorted)) % 6.41/6.68 (define @t197 () (@list @t194 @t193)) % 6.41/6.68 (define @t198 () (@var "V_P_H_2" $$unsorted)) % 6.41/6.68 (define @t199 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t117 @t194) @t193))) % 6.41/6.68 (define @t200 () (tptp.hAPP (tptp.hAPP @t118 @t198) @t18)) % 6.41/6.68 (define @t201 () (@var "V_R_2" $$unsorted)) % 6.41/6.68 (define @t202 () (@var "B_k_H" $$unsorted)) % 6.41/6.68 (define @t203 () (@var "V_m1_2" $$unsorted)) % 6.41/6.68 (define @t204 () (tptp.hAPP @t203 @t202)) % 6.41/6.68 (define @t205 () (@var "V_k_2" $$unsorted)) % 6.41/6.68 (define @t206 () (@var "V_m2_2" $$unsorted)) % 6.41/6.68 (define @t207 () (tptp.hAPP @t206 @t205)) % 6.41/6.68 (define @t208 () (= @t207 (tptp.hAPP @t127 @t202))) % 6.41/6.68 (define @t209 () (@list @t202)) % 6.41/6.68 (define @t210 () (@var "T_c" $$unsorted)) % 6.41/6.68 (define @t211 () (tptp.c_Map_Omap__comp @t74 @t8 @t210 @t203 @t206 @t205)) % 6.41/6.68 (define @t212 () (@var "V_c2" $$unsorted)) % 6.41/6.68 (define @t213 () (@var "V_c1" $$unsorted)) % 6.41/6.68 (define @t214 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t213))) % 6.41/6.68 (define @t215 () (@var "V_com2_H_2" $$unsorted)) % 6.41/6.68 (define @t216 () (@var "V_com2_2" $$unsorted)) % 6.41/6.68 (define @t217 () (= @t216 @t215)) % 6.41/6.68 (define @t218 () (@var "V_com1_H_2" $$unsorted)) % 6.41/6.68 (define @t219 () (@var "V_com1_2" $$unsorted)) % 6.41/6.68 (define @t220 () (= @t219 @t218)) % 6.41/6.68 (define @t221 () (tptp.c_Com_Ocom_OSemi @t218 @t215)) % 6.41/6.68 (define @t222 () (tptp.c_Com_Ocom_OSemi @t219 @t216)) % 6.41/6.68 (define @t223 () (@var "V_com2_H" $$unsorted)) % 6.41/6.68 (define @t224 () (@var "V_com1_H" $$unsorted)) % 6.41/6.68 (define @t225 () (tptp.c_Com_Ocom_OSemi @t224 @t223)) % 6.41/6.68 (define @t226 () (@list @t223 @t224)) % 6.41/6.68 (define @t227 () (@var "V_pname_H" $$unsorted)) % 6.41/6.68 (define @t228 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t227)) % 6.41/6.68 (define @t229 () (@var "V_com2" $$unsorted)) % 6.41/6.68 (define @t230 () (@var "V_com1" $$unsorted)) % 6.41/6.68 (define @t231 () (tptp.c_Com_Ocom_OSemi @t230 @t229)) % 6.41/6.68 (define @t232 () (@var "V_c0" $$unsorted)) % 6.41/6.68 (define @t233 () (tptp.c_Com_Ocom_OSemi @t232 @t213)) % 6.41/6.68 (define @t234 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t176))) % 6.41/6.68 (define @t235 () (and @t234 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t179)))) % 6.41/6.68 (define @t236 () (@list @t227)) % 6.41/6.68 (define @t237 () (@list @t152 @t90 @t155)) % 6.41/6.68 (define @t238 () (tptp.c_Map_Omap__comp @t8 @t210 @t74 @t203 @t206 @t205)) % 6.41/6.68 (define @t239 () (@var "V_k_H_2" $$unsorted)) % 6.41/6.68 (define @t240 () (@var "V_v_2" $$unsorted)) % 6.41/6.68 (define @t241 () (tptp.hAPP @t87 @t240)) % 6.41/6.68 (define @t242 () (tptp.class_Finite__Set_Ofinite @t8)) % 6.41/6.68 (define @t243 () (@list @t51 @t8)) % 6.41/6.68 (define @t244 () (@var "V_F_2" $$unsorted)) % 6.41/6.68 (define @t245 () (tptp.hAPP @t244 @t51)) % 6.41/6.68 (define @t246 () (tptp.hAPP @t115 @t245)) % 6.41/6.68 (define @t247 () (tptp.hAPP @t244 @t104)) % 6.41/6.68 (define @t248 () (= @t51 @t56)) % 6.41/6.68 (define @t249 () (not @t248)) % 6.41/6.68 (define @t250 () (=> @t249 (= @t247 @t246))) % 6.41/6.68 (define @t251 () (tptp.c_Finite__Set_Ofolding__one__idem @t8 @t2 @t244)) % 6.41/6.68 (define @t252 () (@list @t73 @t51 @t244 @t2 @t8)) % 6.41/6.68 (define @t253 () (tptp.hAPP @t1 @t73)) % 6.41/6.68 (define @t254 () (tptp.hAPP @t2 @t253)) % 6.41/6.68 (define @t255 () (tptp.hAPP @t254 @t245)) % 6.41/6.68 (define @t256 () (tptp.hAPP @t112 @t51)) % 6.41/6.68 (define @t257 () (tptp.hAPP @t244 @t256)) % 6.41/6.68 (define @t258 () (= @t257 @t255)) % 6.41/6.68 (define @t259 () (tptp.c_Finite__Set_Ofinite @t74)) % 6.41/6.68 (define @t260 () (tptp.hBOOL (tptp.hAPP @t259 @t51))) % 6.41/6.68 (define @t261 () (@var "V_z_2" $$unsorted)) % 6.41/6.68 (define @t262 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t8 @t74 @t2 @t261 @t1 @t244)) % 6.41/6.68 (define @t263 () (@list @t73 @t51 @t244 @t1 @t261 @t2 @t74 @t8)) % 6.41/6.68 (define @t264 () (tptp.c_Finite__Set_Ofolding__one @t8 @t2 @t244)) % 6.41/6.68 (define @t265 () (@list @t73 @t244 @t2 @t8)) % 6.41/6.68 (define @t266 () (@var "B_A" $$unsorted)) % 6.41/6.68 (define @t267 () (tptp.hBOOL (tptp.hAPP @t182 @t266))) % 6.41/6.68 (define @t268 () (@var "B_a" $$unsorted)) % 6.41/6.68 (define @t269 () (tptp.hAPP @t52 @t268)) % 6.41/6.68 (define @t270 () (tptp.hAPP @t269 @t266)) % 6.41/6.68 (define @t271 () (@list @t268)) % 6.41/6.68 (define @t272 () (@list @t266)) % 6.41/6.68 (define @t273 () (tptp.tc_fun @t74 tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t274 () (tptp.c_Groups_Ominus__class_Ominus @t273)) % 6.41/6.68 (define @t275 () (tptp.hAPP @t274 @t110)) % 6.41/6.68 (define @t276 () (@var "V_s1" $$unsorted)) % 6.41/6.68 (define @t277 () (@var "V_s0" $$unsorted)) % 6.41/6.68 (define @t278 () (tptp.hAPP @t49 @t42)) % 6.41/6.68 (define @t279 () (@var "V_s" $$unsorted)) % 6.41/6.68 (define @t280 () (tptp.hAPP @t49 @t83)) % 6.41/6.68 (define @t281 () (@var "V_n_2" $$unsorted)) % 6.41/6.68 (define @t282 () (tptp.hAPP tptp.c_Nat_OSuc @t281)) % 6.41/6.68 (define @t283 () (tptp.hAPP @t136 @t73)) % 6.41/6.68 (define @t284 () (@var "V_y" $$unsorted)) % 6.41/6.68 (define @t285 () (@var "B_s_H" $$unsorted)) % 6.41/6.68 (define @t286 () (tptp.hBOOL (tptp.hAPP @t195 @t285))) % 6.41/6.68 (define @t287 () (@var "B_Z_H" $$unsorted)) % 6.41/6.68 (define @t288 () (@list @t285)) % 6.41/6.68 (define @t289 () (@var "V_B_2" $$unsorted)) % 6.41/6.68 (define @t290 () (tptp.hAPP @t136 @t18)) % 6.41/6.68 (define @t291 () (tptp.hBOOL (tptp.hAPP @t290 @t289))) % 6.41/6.68 (define @t292 () (tptp.hBOOL (tptp.hAPP @t290 @t51))) % 6.41/6.68 (define @t293 () (not @t292)) % 6.41/6.68 (define @t294 () (=> @t293 @t291)) % 6.41/6.68 (define @t295 () (not @t291)) % 6.41/6.68 (define @t296 () (=> @t292 @t295)) % 6.41/6.68 (define @t297 () (= @t51 @t289)) % 6.41/6.68 (define @t298 () (tptp.hAPP @t136 @t13)) % 6.41/6.68 (define @t299 () (tptp.hBOOL (tptp.hAPP @t298 @t51))) % 6.41/6.68 (define @t300 () (not @t69)) % 6.41/6.68 (define @t301 () (tptp.hAPP @t65 @t51)) % 6.41/6.68 (define @t302 () (tptp.hBOOL (tptp.hAPP @t298 @t301))) % 6.41/6.68 (define @t303 () (@list @t51 @t58 @t13 @t8)) % 6.41/6.68 (define @t304 () (tptp.hAPP @t65 @t289)) % 6.41/6.68 (define @t305 () (tptp.hBOOL (tptp.hAPP @t298 @t304))) % 6.41/6.68 (define @t306 () (tptp.hBOOL (tptp.hAPP @t298 @t289))) % 6.41/6.68 (define @t307 () (not @t306)) % 6.41/6.68 (define @t308 () (@list @t58 @t289 @t13 @t8)) % 6.41/6.68 (define @t309 () (tptp.c_Groups_Ominus__class_Ominus @t55)) % 6.41/6.68 (define @t310 () (tptp.hAPP @t309 @t51)) % 6.41/6.68 (define @t311 () (tptp.hAPP @t310 @t289)) % 6.41/6.68 (define @t312 () (tptp.hBOOL (tptp.hAPP @t290 @t311))) % 6.41/6.68 (define @t313 () (@list @t289 @t51 @t18 @t8)) % 6.41/6.68 (define @t314 () (=> @t292 @t291)) % 6.41/6.68 (define @t315 () (tptp.hBOOL (tptp.hAPP @t182 @t311))) % 6.41/6.68 (define @t316 () (@list @t289 @t51 @t8)) % 6.41/6.68 (define @t317 () (@var "V_s2" $$unsorted)) % 6.41/6.68 (define @t318 () (@var "V_t" $$unsorted)) % 6.41/6.68 (define @t319 () (= @t318 @t279)) % 6.41/6.68 (define @t320 () (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP)) % 6.41/6.68 (define @t321 () (tptp.hAPP @t320 @t279)) % 6.41/6.68 (define @t322 () (@list @t318 @t279)) % 6.41/6.68 (define @t323 () (tptp.hBOOL (tptp.hAPP @t283 @t51))) % 6.41/6.68 (define @t324 () (tptp.hAPP @t309 @t311)) % 6.41/6.68 (define @t325 () (tptp.hBOOL (tptp.hAPP @t283 @t289))) % 6.41/6.68 (define @t326 () (tptp.hAPP @t136 @t100)) % 6.41/6.68 (define @t327 () (tptp.hBOOL (tptp.hAPP @t326 @t51))) % 6.41/6.68 (define @t328 () (= @t73 @t100)) % 6.41/6.68 (define @t329 () (tptp.hAPP @t136 @t58)) % 6.41/6.68 (define @t330 () (tptp.hBOOL (tptp.hAPP @t329 @t51))) % 6.41/6.68 (define @t331 () (@list @t51 @t8 @t58 @t13)) % 6.41/6.68 (define @t332 () (@var "V_u" $$unsorted)) % 6.41/6.68 (define @t333 () (@var "V_c" $$unsorted)) % 6.41/6.68 (define @t334 () (tptp.hAPP (tptp.c_Natural_Oevalc @t333) @t279)) % 6.41/6.68 (define @t335 () (tptp.hBOOL (tptp.hAPP @t334 @t318))) % 6.41/6.68 (define @t336 () (@var "V_n" $$unsorted)) % 6.41/6.68 (define @t337 () (tptp.hAPP tptp.c_Nat_OSuc @t336)) % 6.41/6.68 (define @t338 () (tptp.hAPP @t309 @t104)) % 6.41/6.68 (define @t339 () (tptp.hAPP @t338 @t289)) % 6.41/6.68 (define @t340 () (=> @t325 (= @t339 @t311))) % 6.41/6.68 (define @t341 () (@list @t51 @t289 @t73 @t8)) % 6.41/6.68 (define @t342 () (not @t325)) % 6.41/6.68 (define @t343 () (= (tptp.hAPP @t115 @t73) @t73)) % 6.41/6.68 (define @t344 () (@var "V_a5_2" $$unsorted)) % 6.41/6.68 (define @t345 () (@var "B_s1" $$unsorted)) % 6.41/6.68 (define @t346 () (@var "V_a4_2" $$unsorted)) % 6.41/6.68 (define @t347 () (@list @t345)) % 6.41/6.68 (define @t348 () (@var "V_a" $$unsorted)) % 6.41/6.68 (define @t349 () (@list @t348)) % 6.41/6.68 (define @t350 () (tptp.c_member @t74)) % 6.41/6.68 (define @t351 () (tptp.hAPP @t350 @t73)) % 6.41/6.68 (define @t352 () (tptp.hBOOL (tptp.hAPP @t351 @t51))) % 6.41/6.68 (define @t353 () (not @t323)) % 6.41/6.68 (define @t354 () (tptp.hAPP @t310 @t70)) % 6.41/6.68 (define @t355 () (tptp.hAPP @t53 @t354)) % 6.41/6.68 (define @t356 () (tptp.hAPP @t310 @t86)) % 6.41/6.68 (define @t357 () (tptp.hAPP @t244 @t356)) % 6.41/6.68 (define @t358 () (tptp.hAPP @t115 @t357)) % 6.41/6.68 (define @t359 () (= @t356 @t56)) % 6.41/6.68 (define @t360 () (not @t359)) % 6.41/6.68 (define @t361 () (tptp.hBOOL (tptp.hAPP @t182 @t289))) % 6.41/6.68 (define @t362 () (@list @t51 @t289 @t8)) % 6.41/6.68 (define @t363 () (tptp.hBOOL (tptp.hAPP @t137 @t51))) % 6.41/6.68 (define @t364 () (not @t363)) % 6.41/6.68 (define @t365 () (exists @t7 @t363)) % 6.41/6.68 (define @t366 () (not @t299)) % 6.41/6.68 (define @t367 () (tptp.hAPP @t53 @t289)) % 6.41/6.68 (define @t368 () (@list @t289 @t13 @t8)) % 6.41/6.68 (define @t369 () (or @t69 @t299)) % 6.41/6.68 (define @t370 () (tptp.hAPP @t85 @t289)) % 6.41/6.68 (define @t371 () (@list @t289 @t51 @t73 @t8)) % 6.41/6.68 (define @t372 () (tptp.hAPP @t310 @t367)) % 6.41/6.68 (define @t373 () (@list @t289 @t13 @t51 @t8)) % 6.41/6.68 (define @t374 () (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t51)) % 6.41/6.68 (define @t375 () (= @t58 @t13)) % 6.41/6.68 (define @t376 () (tptp.hBOOL (tptp.hAPP @t329 @t70))) % 6.41/6.68 (define @t377 () (@list @t13 @t58 @t8)) % 6.41/6.68 (define @t378 () (@var "V_m_2" $$unsorted)) % 6.41/6.68 (define @t379 () (tptp.hAPP @t378 @t13)) % 6.41/6.68 (define @t380 () (tptp.c_Map_Odom @t8 @t74 @t378)) % 6.41/6.68 (define @t381 () (tptp.hAPP @t350 @t13)) % 6.41/6.68 (define @t382 () (tptp.hAPP @t87 @t58)) % 6.41/6.68 (define @t383 () (= @t379 @t382)) % 6.41/6.68 (define @t384 () (@list @t74 @t58 @t8 @t13 @t378)) % 6.41/6.68 (define @t385 () (tptp.hAPP @t49 (tptp.hAPP tptp.c_Com_Obody @t176))) % 6.41/6.68 (define @t386 () (tptp.c_Orderings_Obot__class_Obot @t273)) % 6.41/6.68 (define @t387 () (tptp.hAPP @t112 @t386)) % 6.41/6.68 (define @t388 () (tptp.hAPP @t274 @t51)) % 6.41/6.68 (define @t389 () (tptp.hAPP @t254 (tptp.hAPP @t244 (tptp.hAPP @t388 @t387)))) % 6.41/6.68 (define @t390 () (tptp.c_Finite__Set_Ofolding__image__simple @t8 @t74 @t2 @t261 @t1 @t244)) % 6.41/6.68 (define @t391 () (tptp.hAPP @t289 @t73)) % 6.41/6.68 (define @t392 () (tptp.c_Groups_Ominus__class_Ominus @t8)) % 6.41/6.68 (define @t393 () (tptp.hAPP @t52 @t3)) % 6.41/6.68 (define @t394 () (tptp.hAPP @t393 (tptp.hAPP (tptp.hAPP @t52 @t43) @t56))) % 6.41/6.68 (define @t395 () (tptp.hAPP @t5 @t43)) % 6.41/6.68 (define @t396 () (@list @t3 @t43)) % 6.41/6.68 (define @t397 () (@list @t51 @t244 @t2 @t8)) % 6.41/6.68 (define @t398 () (tptp.hBOOL (tptp.hAPP @t117 @t56))) % 6.41/6.68 (define @t399 () (tptp.hAPP @t136 @t268)) % 6.41/6.68 (define @t400 () (tptp.hBOOL (tptp.hAPP @t399 @t266))) % 6.41/6.68 (define @t401 () (@list @t268 @t266)) % 6.41/6.68 (define @t402 () (tptp.c_Finite__Set_Ocard @t8)) % 6.41/6.68 (define @t403 () (tptp.hAPP @t402 @t51)) % 6.41/6.68 (define @t404 () (tptp.hAPP @t402 @t356)) % 6.41/6.68 (define @t405 () (tptp.hAPP tptp.c_Nat_OSuc @t404)) % 6.41/6.68 (define @t406 () (@list @t73 @t51 @t8)) % 6.41/6.68 (define @t407 () (tptp.tc_Option_Ooption @t8)) % 6.41/6.68 (define @t408 () (tptp.c_Fun_Ofun__upd @t74 @t407)) % 6.41/6.68 (define @t409 () (tptp.hAPP @t408 @t2)) % 6.41/6.68 (define @t410 () (tptp.c_Map_Odom @t74 @t8 (tptp.hAPP (tptp.hAPP @t409 @t73) @t100))) % 6.41/6.68 (define @t411 () (= @t100 @t149)) % 6.41/6.68 (define @t412 () (tptp.hAPP tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP)) % 6.41/6.68 (define @t413 () (tptp.hAPP (tptp.hAPP @t412 @t279) @t336)) % 6.41/6.68 (define @t414 () (@var "V_s_H" $$unsorted)) % 6.41/6.68 (define @t415 () (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t333) @t279)) % 6.41/6.68 (define @t416 () (tptp.hAPP @t415 @t336)) % 6.41/6.68 (define @t417 () (tptp.hAPP @t127 @t100)) % 6.41/6.68 (define @t418 () (tptp.tc_Option_Ooption @t74)) % 6.41/6.68 (define @t419 () (tptp.c_Fun_Ofun__upd @t8 @t418)) % 6.41/6.68 (define @t420 () (tptp.hAPP @t127 @t73)) % 6.41/6.68 (define @t421 () (tptp.hAPP @t419 @t378)) % 6.41/6.68 (define @t422 () (tptp.hAPP @t421 @t13)) % 6.41/6.68 (define @t423 () (tptp.hAPP @t378 @t73)) % 6.41/6.68 (define @t424 () (= @t73 @t13)) % 6.41/6.68 (define @t425 () (not @t424)) % 6.41/6.68 (define @t426 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t408 @t378) @t13) @t382)) % 6.41/6.68 (define @t427 () (@var "B_n" $$unsorted)) % 6.41/6.68 (define @t428 () (@var "V_s_2" $$unsorted)) % 6.41/6.68 (define @t429 () (tptp.hAPP tptp.c_Natural_Oevaln @t18)) % 6.41/6.68 (define @t430 () (@list @t427)) % 6.41/6.68 (define @t431 () (tptp.c_Natural_Oevalc @t18)) % 6.41/6.68 (define @t432 () (tptp.hBOOL (tptp.hAPP @t416 @t318))) % 6.41/6.68 (define @t433 () (@var "V_a6_2" $$unsorted)) % 6.41/6.68 (define @t434 () (@var "V_a1" $$unsorted)) % 6.41/6.68 (define @t435 () (@var "V_a2" $$unsorted)) % 6.41/6.68 (define @t436 () (= @t73 @t261)) % 6.41/6.68 (define @t437 () (tptp.c_Finite__Set_Ofold__graph @t8 @t74 @t2 @t261 @t56)) % 6.41/6.68 (define @t438 () (@list @t261 @t2 @t74 @t8)) % 6.41/6.68 (define @t439 () (tptp.c_Finite__Set_Ofold__graph @t8 @t74 @t2 @t261 @t51)) % 6.41/6.68 (define @t440 () (tptp.hBOOL (tptp.hAPP @t439 @t73))) % 6.41/6.68 (define @t441 () (tptp.hAPP @t115 @t100)) % 6.41/6.68 (define @t442 () (tptp.c_Finite__Set_Ofold__graph @t8 @t74 @t2 @t261 @t104)) % 6.41/6.68 (define @t443 () (tptp.hBOOL (tptp.hAPP @t439 @t100))) % 6.41/6.68 (define @t444 () (@list @t100 @t261 @t2 @t74 @t51 @t73 @t8)) % 6.41/6.68 (define @t445 () (tptp.hAPP @t402 @t104)) % 6.41/6.68 (define @t446 () (=> @t353 (= @t445 (tptp.hAPP tptp.c_Nat_OSuc @t403)))) % 6.41/6.68 (define @t447 () (@list @t100 @t73 @t51 @t261 @t2 @t74 @t8)) % 6.41/6.68 (define @t448 () (tptp.c_Fun_Ofun__upd @t8 @t74)) % 6.41/6.68 (define @t449 () (tptp.hAPP @t448 @t2)) % 6.41/6.68 (define @t450 () (tptp.hAPP @t449 @t73)) % 6.41/6.68 (define @t451 () (@list @t73 @t2 @t74 @t8)) % 6.41/6.68 (define @t452 () (tptp.hAPP tptp.c_Nat_OSuc @t427)) % 6.41/6.68 (define @t453 () (tptp.c_Map_Oran @t74 @t8 @t378)) % 6.41/6.68 (define @t454 () (@var "V_D_2" $$unsorted)) % 6.41/6.68 (define @t455 () (tptp.c_Map_Orestrict__map @t8 @t74 @t378 @t454)) % 6.41/6.68 (define @t456 () (tptp.hAPP (tptp.hAPP @t419 @t455) @t73)) % 6.41/6.68 (define @t457 () (tptp.hAPP @t456 @t159)) % 6.41/6.68 (define @t458 () (tptp.hBOOL (tptp.hAPP @t283 @t454))) % 6.41/6.68 (define @t459 () (not @t458)) % 6.41/6.68 (define @t460 () (tptp.hAPP @t309 @t454)) % 6.41/6.68 (define @t461 () (tptp.c_Map_Orestrict__map @t8 @t74 @t378 (tptp.hAPP @t460 @t86))) % 6.41/6.68 (define @t462 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 @t461) @t73) @t100)) % 6.41/6.68 (define @t463 () (= (tptp.hAPP @t456 @t100) @t462)) % 6.41/6.68 (define @t464 () (@list @t100 @t378 @t74 @t454 @t73 @t8)) % 6.41/6.68 (define @t465 () (tptp.hAPP @t421 @t73)) % 6.41/6.68 (define @t466 () (tptp.c_Map_Orestrict__map @t8 @t74 (tptp.hAPP @t465 @t100) @t454)) % 6.41/6.68 (define @t467 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t468 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t469 () (tptp.hAPP @t468 @t403)) % 6.41/6.68 (define @t470 () (=> @t323 (= @t404 (tptp.hAPP @t469 @t467)))) % 6.41/6.68 (define @t471 () (tptp.hAPP @t102 @t56)) % 6.41/6.68 (define @t472 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t473 () (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t2 @t268 @t266)) % 6.41/6.68 (define @t474 () (tptp.hAPP @t52 @t176)) % 6.41/6.68 (define @t475 () (tptp.hAPP @t474 @t179)) % 6.41/6.68 (define @t476 () (tptp.c_Orderings_Oord__class_Oless @t8)) % 6.41/6.68 (define @t477 () (tptp.hAPP @t476 @t95)) % 6.41/6.68 (define @t478 () (tptp.class_Orderings_Opreorder @t8)) % 6.41/6.68 (define @t479 () (tptp.hAPP @t476 @t100)) % 6.41/6.68 (define @t480 () (tptp.hBOOL (tptp.hAPP @t479 @t73))) % 6.41/6.68 (define @t481 () (tptp.hAPP @t476 @t73)) % 6.41/6.68 (define @t482 () (tptp.hBOOL (tptp.hAPP @t481 @t100))) % 6.41/6.68 (define @t483 () (not @t328)) % 6.41/6.68 (define @t484 () (tptp.class_Orderings_Olinorder @t8)) % 6.41/6.68 (define @t485 () (@list @t100 @t73 @t8)) % 6.41/6.68 (define @t486 () (not @t482)) % 6.41/6.68 (define @t487 () (tptp.hAPP @t476 @t284)) % 6.41/6.68 (define @t488 () (tptp.hBOOL (tptp.hAPP @t487 @t95))) % 6.41/6.68 (define @t489 () (= @t95 @t284)) % 6.41/6.68 (define @t490 () (tptp.hBOOL (tptp.hAPP @t477 @t284))) % 6.41/6.68 (define @t491 () (@list @t284 @t95 @t8)) % 6.41/6.68 (define @t492 () (= @t486 @t328)) % 6.41/6.68 (define @t493 () (@list @t73 @t100 @t8)) % 6.41/6.68 (define @t494 () (not @t490)) % 6.41/6.68 (define @t495 () (not @t489)) % 6.41/6.68 (define @t496 () (=> @t495 (=> @t494 @t488))) % 6.41/6.68 (define @t497 () (tptp.class_Orderings_Oorder @t8)) % 6.41/6.68 (define @t498 () (tptp.hAPP @t476 @t39)) % 6.41/6.68 (define @t499 () (tptp.hBOOL (tptp.hAPP @t498 @t348))) % 6.41/6.68 (define @t500 () (tptp.hAPP @t476 @t348)) % 6.41/6.68 (define @t501 () (tptp.hBOOL (tptp.hAPP @t500 @t39))) % 6.41/6.68 (define @t502 () (@list @t39 @t348 @t8)) % 6.41/6.68 (define @t503 () (@list @t348 @t39 @t8)) % 6.41/6.68 (define @t504 () (tptp.hBOOL (tptp.hAPP @t500 @t333))) % 6.41/6.68 (define @t505 () (tptp.hBOOL (tptp.hAPP @t498 @t333))) % 6.41/6.68 (define @t506 () (= @t348 @t39)) % 6.41/6.68 (define @t507 () (tptp.class_Orderings_Oord @t8)) % 6.41/6.68 (define @t508 () (@list @t333 @t39 @t348 @t8)) % 6.41/6.68 (define @t509 () (tptp.hAPP @t476 @t333)) % 6.41/6.68 (define @t510 () (tptp.hBOOL (tptp.hAPP @t509 @t348))) % 6.41/6.68 (define @t511 () (= @t39 @t333)) % 6.41/6.68 (define @t512 () (@list @t333 @t348 @t39 @t8)) % 6.41/6.68 (define @t513 () (@var "V_z" $$unsorted)) % 6.41/6.68 (define @t514 () (tptp.hBOOL (tptp.hAPP @t477 @t513))) % 6.41/6.68 (define @t515 () (=> (tptp.hBOOL (tptp.hAPP @t487 @t513)) @t514)) % 6.41/6.68 (define @t516 () (@list @t513 @t284 @t95 @t8)) % 6.41/6.68 (define @t517 () (tptp.hAPP @t476 @t513)) % 6.41/6.68 (define @t518 () (tptp.hBOOL (tptp.hAPP @t517 @t95))) % 6.41/6.68 (define @t519 () (=> (tptp.hBOOL (tptp.hAPP @t517 @t284)) @t518)) % 6.41/6.68 (define @t520 () (@list @t513 @t95 @t284 @t8)) % 6.41/6.68 (define @t521 () (@var "V_m" $$unsorted)) % 6.41/6.68 (define @t522 () (tptp.hAPP @t468 @t521)) % 6.41/6.68 (define @t523 () (tptp.hAPP @t522 @t467)) % 6.41/6.68 (define @t524 () (@list @t336 @t521)) % 6.41/6.68 (define @t525 () (tptp.c_Map_Orestrict__map @t8 @t74 @t378 @t51)) % 6.41/6.68 (define @t526 () (tptp.hAPP @t525 @t73)) % 6.41/6.68 (define @t527 () (=> @t323 (= @t526 @t423))) % 6.41/6.68 (define @t528 () (@list @t378 @t74 @t51 @t73 @t8)) % 6.41/6.68 (define @t529 () (=> @t353 (= @t526 @t159))) % 6.41/6.68 (define @t530 () (tptp.hAPP @t2 @t13)) % 6.41/6.68 (define @t531 () (@list @t51 @t13 @t2 @t74 @t8)) % 6.41/6.68 (define @t532 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t74 @t8) @t2) @t73) @t100)) % 6.41/6.68 (define @t533 () (= @t115 @t100)) % 6.41/6.68 (define @t534 () (tptp.hAPP @t2 @t261)) % 6.41/6.68 (define @t535 () (tptp.hAPP @t450 @t100)) % 6.41/6.68 (define @t536 () (tptp.hAPP @t535 @t261)) % 6.41/6.68 (define @t537 () (= @t261 @t73)) % 6.41/6.68 (define @t538 () (=> (not @t537) (= @t536 @t534))) % 6.41/6.68 (define @t539 () (@list @t100 @t2 @t74 @t8 @t73 @t261)) % 6.41/6.68 (define @t540 () (tptp.hAPP @t448 @t378)) % 6.41/6.68 (define @t541 () (@list @t261 @t100 @t73 @t2 @t74 @t8)) % 6.41/6.68 (define @t542 () (@list @t100 @t73 @t2 @t74 @t8)) % 6.41/6.68 (define @t543 () (tptp.hAPP @t402 @t311)) % 6.41/6.68 (define @t544 () (tptp.hAPP tptp.c_Nat_OSuc @t521)) % 6.41/6.68 (define @t545 () (tptp.hAPP @t472 @t544)) % 6.41/6.68 (define @t546 () (tptp.hBOOL (tptp.hAPP @t545 @t337))) % 6.41/6.68 (define @t547 () (tptp.hAPP @t472 @t521)) % 6.41/6.68 (define @t548 () (tptp.hBOOL (tptp.hAPP @t547 @t336))) % 6.41/6.68 (define @t549 () (tptp.hAPP @t472 @t336)) % 6.41/6.68 (define @t550 () (@list @t336)) % 6.41/6.68 (define @t551 () (tptp.hAPP @t522 @t336)) % 6.41/6.68 (define @t552 () (tptp.hAPP @t472 @t551)) % 6.41/6.68 (define @t553 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t554 () (tptp.hAPP @t553 @t467)) % 6.41/6.68 (define @t555 () (tptp.hAPP @t554 @t404)) % 6.41/6.68 (define @t556 () (@var "V_l" $$unsorted)) % 6.41/6.68 (define @t557 () (tptp.hAPP @t468 @t556)) % 6.41/6.68 (define @t558 () (tptp.hAPP @t557 @t521)) % 6.41/6.68 (define @t559 () (tptp.hAPP @t557 @t336)) % 6.41/6.68 (define @t560 () (@list @t556 @t336 @t521)) % 6.41/6.68 (define @t561 () (@var "V_k" $$unsorted)) % 6.41/6.68 (define @t562 () (@var "V_j" $$unsorted)) % 6.41/6.68 (define @t563 () (tptp.hAPP @t468 @t562)) % 6.41/6.68 (define @t564 () (tptp.hAPP @t472 @t562)) % 6.41/6.68 (define @t565 () (tptp.hBOOL (tptp.hAPP @t564 @t561))) % 6.41/6.68 (define @t566 () (tptp.hAPP @t468 @t544)) % 6.41/6.68 (define @t567 () (tptp.hAPP @t566 @t336)) % 6.41/6.68 (define @t568 () (@list @t561 @t336 @t521)) % 6.41/6.68 (define @t569 () (tptp.hBOOL (tptp.hAPP @t545 @t336))) % 6.41/6.68 (define @t570 () (tptp.hAPP @t553 @t336)) % 6.41/6.68 (define @t571 () (tptp.hAPP @t570 @t521)) % 6.41/6.68 (define @t572 () (tptp.hAPP @t553 @t521)) % 6.41/6.68 (define @t573 () (tptp.hAPP @t572 @t336)) % 6.41/6.68 (define @t574 () (tptp.hAPP @t553 @t95)) % 6.41/6.68 (define @t575 () (tptp.hAPP @t553 @t284)) % 6.41/6.68 (define @t576 () (tptp.hAPP @t575 @t513)) % 6.41/6.68 (define @t577 () (@list @t513 @t284 @t95)) % 6.41/6.68 (define @t578 () (tptp.hAPP @t570 @t561)) % 6.41/6.68 (define @t579 () (= @t378 @t281)) % 6.41/6.68 (define @t580 () (tptp.hAPP @t553 @t205)) % 6.41/6.68 (define @t581 () (tptp.hAPP @t580 @t281)) % 6.41/6.68 (define @t582 () (tptp.hAPP @t580 @t378)) % 6.41/6.68 (define @t583 () (@list @t281 @t378 @t205)) % 6.41/6.68 (define @t584 () (tptp.hAPP @t553 @t281)) % 6.41/6.68 (define @t585 () (tptp.hAPP @t584 @t205)) % 6.41/6.68 (define @t586 () (tptp.hAPP @t553 @t378)) % 6.41/6.68 (define @t587 () (tptp.hAPP @t586 @t205)) % 6.41/6.68 (define @t588 () (@list @t281 @t205 @t378)) % 6.41/6.68 (define @t589 () (tptp.hAPP tptp.c_Nat_OSuc @t573)) % 6.41/6.68 (define @t590 () (tptp.hAPP @t572 @t337)) % 6.41/6.68 (define @t591 () (tptp.hAPP (tptp.hAPP @t553 @t544) @t336)) % 6.41/6.68 (define @t592 () (@var "V_i" $$unsorted)) % 6.41/6.68 (define @t593 () (tptp.hAPP @t553 @t592)) % 6.41/6.68 (define @t594 () (tptp.hAPP @t593 @t562)) % 6.41/6.68 (define @t595 () (tptp.hAPP @t472 @t594)) % 6.41/6.68 (define @t596 () (@list @t562 @t592)) % 6.41/6.68 (define @t597 () (tptp.hAPP @t553 @t562)) % 6.41/6.68 (define @t598 () (tptp.hAPP @t597 @t592)) % 6.41/6.68 (define @t599 () (@list @t592 @t562)) % 6.41/6.68 (define @t600 () (tptp.hAPP @t472 @t378)) % 6.41/6.68 (define @t601 () (tptp.hBOOL (tptp.hAPP @t600 @t281))) % 6.41/6.68 (define @t602 () (tptp.hAPP @t597 @t521)) % 6.41/6.68 (define @t603 () (tptp.hAPP @t472 @t592)) % 6.41/6.68 (define @t604 () (tptp.hBOOL (tptp.hAPP @t603 @t562))) % 6.41/6.68 (define @t605 () (@list @t521 @t562 @t592)) % 6.41/6.68 (define @t606 () (tptp.hAPP @t572 @t562)) % 6.41/6.68 (define @t607 () (tptp.hAPP @t597 @t561)) % 6.41/6.68 (define @t608 () (tptp.hAPP @t593 @t561)) % 6.41/6.68 (define @t609 () (tptp.hAPP @t472 @t608)) % 6.41/6.68 (define @t610 () (@list @t561 @t562 @t592)) % 6.41/6.68 (define @t611 () (tptp.hAPP @t597 @t556)) % 6.41/6.68 (define @t612 () (tptp.hAPP @t472 @t561)) % 6.41/6.68 (define @t613 () (tptp.hBOOL (tptp.hAPP @t612 @t556))) % 6.41/6.68 (define @t614 () (@list @t556 @t561 @t562 @t592)) % 6.41/6.68 (define @t615 () (tptp.hAPP @t553 @t561)) % 6.41/6.68 (define @t616 () (tptp.hAPP @t615 @t336)) % 6.41/6.68 (define @t617 () (tptp.hAPP @t468 @t571)) % 6.41/6.68 (define @t618 () (@list @t521 @t336)) % 6.41/6.68 (define @t619 () (tptp.hAPP @t468 @t592)) % 6.41/6.68 (define @t620 () (tptp.hAPP @t619 @t562)) % 6.41/6.68 (define @t621 () (tptp.hAPP (tptp.hAPP @t468 @t620) @t561)) % 6.41/6.68 (define @t622 () (tptp.hAPP @t615 @t521)) % 6.41/6.68 (define @t623 () (@list @t336 @t521 @t561)) % 6.41/6.68 (define @t624 () (tptp.hAPP @t572 @t561)) % 6.41/6.68 (define @t625 () (tptp.hAPP @t468 @t624)) % 6.41/6.68 (define @t626 () (@list @t336 @t561 @t521)) % 6.41/6.68 (define @t627 () (tptp.c_Orderings_Oord__class_Oless @t55)) % 6.41/6.68 (define @t628 () (tptp.hAPP @t627 @t51)) % 6.41/6.68 (define @t629 () (tptp.hBOOL (tptp.hAPP @t628 @t289))) % 6.41/6.68 (define @t630 () (@list @t18 @t289 @t51 @t8)) % 6.41/6.68 (define @t631 () (@var "B_k" $$unsorted)) % 6.41/6.68 (define @t632 () (tptp.hAPP @t586 @t631)) % 6.41/6.68 (define @t633 () (@list @t631)) % 6.41/6.68 (define @t634 () (@list @t281 @t378)) % 6.41/6.68 (define @t635 () (@list @t521 @t592)) % 6.41/6.68 (define @t636 () (tptp.hAPP @t593 @t521)) % 6.41/6.68 (define @t637 () (@var "V_j_2" $$unsorted)) % 6.41/6.68 (define @t638 () (@var "V_i_2" $$unsorted)) % 6.41/6.68 (define @t639 () (tptp.hAPP @t553 @t638)) % 6.41/6.68 (define @t640 () (tptp.hAPP @t639 @t205)) % 6.41/6.68 (define @t641 () (tptp.hAPP @t468 @t637)) % 6.41/6.68 (define @t642 () (tptp.hAPP @t641 @t205)) % 6.41/6.68 (define @t643 () (tptp.hAPP @t472 @t638)) % 6.41/6.68 (define @t644 () (@list @t205 @t637 @t638)) % 6.41/6.68 (define @t645 () (= (tptp.hAPP @t570 @t551) @t521)) % 6.41/6.68 (define @t646 () (not @t548)) % 6.41/6.68 (define @t647 () (tptp.hAPP @t570 @t467)) % 6.41/6.68 (define @t648 () (tptp.hAPP @t554 @t336)) % 6.41/6.68 (define @t649 () (tptp.hAPP @t402 @t289)) % 6.41/6.68 (define @t650 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t403) @t649))) % 6.41/6.68 (define @t651 () (@var "V_nat_H_2" $$unsorted)) % 6.41/6.68 (define @t652 () (@var "V_nat_2" $$unsorted)) % 6.41/6.68 (define @t653 () (tptp.hAPP tptp.c_Nat_OSuc @t652)) % 6.41/6.68 (define @t654 () (@list @t284 @t95)) % 6.41/6.68 (define @t655 () (tptp.hAPP @t472 @t281)) % 6.41/6.68 (define @t656 () (tptp.hBOOL (tptp.hAPP @t655 @t378))) % 6.41/6.68 (define @t657 () (not @t579)) % 6.41/6.68 (define @t658 () (tptp.hAPP @t472 @t95)) % 6.41/6.68 (define @t659 () (tptp.hBOOL (tptp.hAPP @t658 @t284))) % 6.41/6.68 (define @t660 () (= @t521 @t336)) % 6.41/6.68 (define @t661 () (not @t660)) % 6.41/6.68 (define @t662 () (tptp.hBOOL (tptp.hAPP @t549 @t521))) % 6.41/6.68 (define @t663 () (tptp.hAPP @t117 @t281)) % 6.41/6.68 (define @t664 () (tptp.hBOOL (tptp.hAPP @t663 @t378))) % 6.41/6.68 (define @t665 () (tptp.hAPP tptp.c_Nat_OSuc @t378)) % 6.41/6.68 (define @t666 () (tptp.hBOOL (tptp.hAPP @t655 @t665))) % 6.41/6.68 (define @t667 () (or @t601 @t579)) % 6.41/6.68 (define @t668 () (tptp.hBOOL (tptp.hAPP @t600 @t282))) % 6.41/6.68 (define @t669 () (= @t281 @t378)) % 6.41/6.68 (define @t670 () (= @t666 @t669)) % 6.41/6.68 (define @t671 () (not @t656)) % 6.41/6.68 (define @t672 () (@list @t378 @t281)) % 6.41/6.68 (define @t673 () (tptp.hBOOL (tptp.hAPP @t547 @t337))) % 6.41/6.68 (define @t674 () (tptp.hAPP tptp.c_Nat_OSuc @t592)) % 6.41/6.68 (define @t675 () (tptp.c_Groups_Oone__class_Oone @t8)) % 6.41/6.68 (define @t676 () (tptp.c_Groups_Oplus__class_Oplus @t8)) % 6.41/6.68 (define @t677 () (tptp.hAPP @t676 @t348)) % 6.41/6.68 (define @t678 () (tptp.hAPP @t677 @t675)) % 6.41/6.68 (define @t679 () (tptp.class_Rings_Olinordered__semidom @t8)) % 6.41/6.68 (define @t680 () (@list @t348 @t8)) % 6.41/6.68 (define @t681 () (tptp.hBOOL (tptp.hAPP @t658 @t576))) % 6.41/6.68 (define @t682 () (@list @t284 @t513 @t95)) % 6.41/6.68 (define @t683 () (tptp.hAPP @t392 @t348)) % 6.41/6.68 (define @t684 () (tptp.hAPP @t683 @t39)) % 6.41/6.68 (define @t685 () (tptp.class_Groups_Ogroup__add @t8)) % 6.41/6.68 (define @t686 () (tptp.hAPP @t677 @t39)) % 6.41/6.68 (define @t687 () (tptp.hAPP @t392 @t686)) % 6.41/6.68 (define @t688 () (tptp.hAPP @t476 @t18)) % 6.41/6.68 (define @t689 () (tptp.hBOOL (tptp.hAPP @t688 @t60))) % 6.41/6.68 (define @t690 () (tptp.hAPP @t476 @t13)) % 6.41/6.68 (define @t691 () (tptp.hBOOL (tptp.hAPP @t690 @t58))) % 6.41/6.68 (define @t692 () (tptp.hAPP (tptp.hAPP @t392 @t13) @t58)) % 6.41/6.68 (define @t693 () (= @t692 (tptp.hAPP (tptp.hAPP @t392 @t18) @t60))) % 6.41/6.68 (define @t694 () (tptp.class_Groups_Oordered__ab__group__add @t8)) % 6.41/6.68 (define @t695 () (tptp.hAPP @t676 @t58)) % 6.41/6.68 (define @t696 () (tptp.hAPP @t695 @t18)) % 6.41/6.68 (define @t697 () (tptp.hAPP @t676 @t13)) % 6.41/6.68 (define @t698 () (tptp.hAPP @t697 @t18)) % 6.41/6.68 (define @t699 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t8)) % 6.41/6.68 (define @t700 () (@list @t58 @t18 @t13 @t8)) % 6.41/6.68 (define @t701 () (tptp.hAPP @t676 @t18)) % 6.41/6.68 (define @t702 () (tptp.hAPP @t701 @t58)) % 6.41/6.68 (define @t703 () (tptp.hAPP @t701 @t13)) % 6.41/6.68 (define @t704 () (@list @t58 @t13 @t18 @t8)) % 6.41/6.68 (define @t705 () (tptp.hAPP @t676 @t39)) % 6.41/6.68 (define @t706 () (tptp.hAPP @t705 @t333)) % 6.41/6.68 (define @t707 () (tptp.hAPP @t677 @t333)) % 6.41/6.68 (define @t708 () (tptp.hAPP @t476 @t707)) % 6.41/6.68 (define @t709 () (tptp.hBOOL (tptp.hAPP @t708 @t706))) % 6.41/6.68 (define @t710 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t8)) % 6.41/6.68 (define @t711 () (tptp.hAPP @t676 @t333)) % 6.41/6.68 (define @t712 () (tptp.hAPP @t711 @t39)) % 6.41/6.68 (define @t713 () (tptp.hAPP @t711 @t348)) % 6.41/6.68 (define @t714 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t713) @t712))) % 6.41/6.68 (define @t715 () (@var "V_d" $$unsorted)) % 6.41/6.68 (define @t716 () (tptp.hAPP @t705 @t715)) % 6.41/6.68 (define @t717 () (tptp.hBOOL (tptp.hAPP @t708 @t716))) % 6.41/6.68 (define @t718 () (tptp.hBOOL (tptp.hAPP @t509 @t715))) % 6.41/6.68 (define @t719 () (=> @t718 @t717)) % 6.41/6.68 (define @t720 () (@list @t715 @t333 @t39 @t348 @t8)) % 6.41/6.68 (define @t721 () (@var "V_C_2" $$unsorted)) % 6.41/6.68 (define @t722 () (tptp.hBOOL (tptp.hAPP @t628 @t721))) % 6.41/6.68 (define @t723 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t289) @t721)) @t722)) % 6.41/6.68 (define @t724 () (@list @t721 @t289 @t51 @t8)) % 6.41/6.68 (define @t725 () (tptp.class_Rings_Olinordered__idom @t8)) % 6.41/6.68 (define @t726 () (tptp.hAPP @t705 @t348)) % 6.41/6.68 (define @t727 () (tptp.class_Groups_Ocancel__semigroup__add @t8)) % 6.41/6.68 (define @t728 () (=> (= @t686 @t707) @t511)) % 6.41/6.68 (define @t729 () (tptp.hAPP @t695 @t13)) % 6.41/6.68 (define @t730 () (tptp.hAPP @t697 @t58)) % 6.41/6.68 (define @t731 () (@list @t18 @t58 @t13 @t8)) % 6.41/6.68 (define @t732 () (tptp.hAPP @t676 @t686)) % 6.41/6.68 (define @t733 () (tptp.hAPP @t732 @t333)) % 6.41/6.68 (define @t734 () (= @t733 (tptp.hAPP @t677 @t706))) % 6.41/6.68 (define @t735 () (tptp.class_Groups_Oab__semigroup__add @t8)) % 6.41/6.68 (define @t736 () (= @t18 @t60)) % 6.41/6.68 (define @t737 () (tptp.class_Groups_Oab__group__add @t8)) % 6.41/6.68 (define @t738 () (= @t73 @t675)) % 6.41/6.68 (define @t739 () (@list @t39 @t348 @t333 @t8)) % 6.41/6.68 (define @t740 () (@list @t39 @t333 @t348 @t8)) % 6.41/6.68 (define @t741 () (tptp.hAPP @t350 @t3)) % 6.41/6.68 (define @t742 () (tptp.hBOOL (tptp.hAPP @t741 @t51))) % 6.41/6.68 (define @t743 () (tptp.hAPP @t53 @t138)) % 6.41/6.68 (define @t744 () (tptp.c_Orderings_Oord__class_Oless__eq @t55)) % 6.41/6.68 (define @t745 () (tptp.hAPP @t744 @t51)) % 6.41/6.68 (define @t746 () (tptp.hBOOL (tptp.hAPP @t745 @t289))) % 6.41/6.68 (define @t747 () (=> @t353 @t746)) % 6.41/6.68 (define @t748 () (@list @t289 @t73 @t51 @t8)) % 6.41/6.68 (define @t749 () (tptp.c_Groups_Ouminus__class_Ouminus @t55)) % 6.41/6.68 (define @t750 () (tptp.hAPP @t749 @t86)) % 6.41/6.68 (define @t751 () (tptp.hAPP @t465 @t417)) % 6.41/6.68 (define @t752 () (tptp.hAPP (tptp.hAPP @t419 @t2) @t73)) % 6.41/6.68 (define @t753 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t754 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 6.41/6.68 (define @t755 () (not @t330)) % 6.41/6.68 (define @t756 () (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t754 @t58 @t51)) % 6.41/6.68 (define @t757 () (tptp.class_Groups_Oab__semigroup__mult @t8)) % 6.41/6.68 (define @t758 () (tptp.c_Finite__Set_Ocard @t74)) % 6.41/6.68 (define @t759 () (tptp.hAPP @t758 @t289)) % 6.41/6.68 (define @t760 () (tptp.hAPP @t553 @t403)) % 6.41/6.68 (define @t761 () (tptp.c_Sum__Type_OPlus @t8 @t74 @t51 @t289)) % 6.41/6.68 (define @t762 () (tptp.tc_sum @t8 @t74)) % 6.41/6.68 (define @t763 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t762) @t761)) % 6.41/6.68 (define @t764 () (= @t763 (tptp.hAPP @t760 @t759))) % 6.41/6.68 (define @t765 () (tptp.hBOOL (tptp.hAPP @t259 @t289))) % 6.41/6.68 (define @t766 () (@list @t289 @t74 @t51 @t8)) % 6.41/6.68 (define @t767 () (@var "V_u1_2" $$unsorted)) % 6.41/6.68 (define @t768 () (tptp.hAPP @t127 @t767)) % 6.41/6.68 (define @t769 () (@var "V_e2_2" $$unsorted)) % 6.41/6.68 (define @t770 () (@var "V_e1_2" $$unsorted)) % 6.41/6.68 (define @t771 () (tptp.hAPP @t136 @t378)) % 6.41/6.68 (define @t772 () (tptp.hBOOL (tptp.hAPP @t117 @t244))) % 6.41/6.68 (define @t773 () (@var "B_F" $$unsorted)) % 6.41/6.68 (define @t774 () (tptp.hBOOL (tptp.hAPP @t117 @t773))) % 6.41/6.68 (define @t775 () (tptp.hBOOL (tptp.hAPP @t182 @t773))) % 6.41/6.68 (define @t776 () (tptp.hBOOL (tptp.hAPP @t182 @t244))) % 6.41/6.68 (define @t777 () (tptp.c_Orderings_Oord__class_Oless__eq @t8)) % 6.41/6.68 (define @t778 () (tptp.hAPP @t777 @t95)) % 6.41/6.68 (define @t779 () (tptp.hAPP @t744 @t289)) % 6.41/6.68 (define @t780 () (tptp.hBOOL (tptp.hAPP @t779 @t51))) % 6.41/6.68 (define @t781 () (tptp.hAPP @t749 @t51)) % 6.41/6.68 (define @t782 () (tptp.hBOOL (tptp.hAPP @t290 @t781))) % 6.41/6.68 (define @t783 () (@list @t51 @t18 @t8)) % 6.41/6.68 (define @t784 () (tptp.c_Groups_Ouminus__class_Ouminus @t8)) % 6.41/6.68 (define @t785 () (tptp.hAPP @t784 @t348)) % 6.41/6.68 (define @t786 () (tptp.hAPP @t784 @t39)) % 6.41/6.68 (define @t787 () (tptp.hAPP @t777 @t348)) % 6.41/6.68 (define @t788 () (tptp.hBOOL (tptp.hAPP @t787 @t39))) % 6.41/6.68 (define @t789 () (tptp.hAPP @t784 @t58)) % 6.41/6.68 (define @t790 () (= @t13 @t789)) % 6.41/6.68 (define @t791 () (tptp.hAPP @t754 @t58)) % 6.41/6.68 (define @t792 () (tptp.hAPP @t754 @t13)) % 6.41/6.68 (define @t793 () (tptp.hAPP @t754 @t39)) % 6.41/6.68 (define @t794 () (tptp.hAPP @t793 @t333)) % 6.41/6.68 (define @t795 () (tptp.hAPP @t754 @t348)) % 6.41/6.68 (define @t796 () (tptp.hAPP @t795 @t39)) % 6.41/6.68 (define @t797 () (tptp.hAPP @t777 @t13)) % 6.41/6.68 (define @t798 () (tptp.hBOOL (tptp.hAPP @t797 @t58))) % 6.41/6.68 (define @t799 () (tptp.hAPP @t784 @t13)) % 6.41/6.68 (define @t800 () (tptp.hAPP @t777 @t789)) % 6.41/6.68 (define @t801 () (tptp.hAPP @t754 @t785)) % 6.41/6.68 (define @t802 () (tptp.class_Rings_Oring @t8)) % 6.41/6.68 (define @t803 () (tptp.hAPP @t777 @t799)) % 6.41/6.68 (define @t804 () (tptp.hBOOL (tptp.hAPP @t803 @t58))) % 6.41/6.68 (define @t805 () (tptp.hAPP @t795 @t786)) % 6.41/6.68 (define @t806 () (tptp.hAPP @t801 @t39)) % 6.41/6.68 (define @t807 () (tptp.hAPP @t777 @t58)) % 6.41/6.68 (define @t808 () (tptp.hAPP @t784 @t796)) % 6.41/6.68 (define @t809 () (tptp.hAPP @t784 @t675)) % 6.41/6.68 (define @t810 () (tptp.hAPP @t754 @t73)) % 6.41/6.68 (define @t811 () (tptp.hAPP @t810 @t73)) % 6.41/6.68 (define @t812 () (tptp.class_Rings_Oring__1__no__zero__divisors @t8)) % 6.41/6.68 (define @t813 () (@var "V_m3_2" $$unsorted)) % 6.41/6.68 (define @t814 () (tptp.c_Map_Omap__add @t8 @t74 @t203 @t206)) % 6.41/6.68 (define @t815 () (tptp.hAPP @t777 @t284)) % 6.41/6.68 (define @t816 () (tptp.hBOOL (tptp.hAPP @t815 @t95))) % 6.41/6.68 (define @t817 () (tptp.hBOOL (tptp.hAPP @t778 @t284))) % 6.41/6.68 (define @t818 () (tptp.c_Orderings_Oord__class_Oless__eq @t74)) % 6.41/6.68 (define @t819 () (tptp.tc_fun @t8 @t74)) % 6.41/6.68 (define @t820 () (tptp.c_Orderings_Oord__class_Oless__eq @t819)) % 6.41/6.68 (define @t821 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t820 @t2) @t1))) % 6.41/6.68 (define @t822 () (tptp.class_Orderings_Oord @t74)) % 6.41/6.68 (define @t823 () (@list @t8 @t289 @t51)) % 6.41/6.68 (define @t824 () (tptp.hAPP @t777 @t513)) % 6.41/6.68 (define @t825 () (tptp.hBOOL (tptp.hAPP @t824 @t95))) % 6.41/6.68 (define @t826 () (tptp.hBOOL (tptp.hAPP @t824 @t284))) % 6.41/6.68 (define @t827 () (@list @t95 @t284 @t8)) % 6.41/6.68 (define @t828 () (tptp.hBOOL (tptp.hAPP @t778 @t513))) % 6.41/6.68 (define @t829 () (tptp.hBOOL (tptp.hAPP @t815 @t513))) % 6.41/6.68 (define @t830 () (tptp.hAPP @t777 @t333)) % 6.41/6.68 (define @t831 () (tptp.hBOOL (tptp.hAPP @t830 @t348))) % 6.41/6.68 (define @t832 () (tptp.hAPP @t777 @t39)) % 6.41/6.68 (define @t833 () (tptp.hBOOL (tptp.hAPP @t832 @t348))) % 6.41/6.68 (define @t834 () (tptp.hBOOL (tptp.hAPP @t787 @t333))) % 6.41/6.68 (define @t835 () (tptp.hBOOL (tptp.hAPP @t745 @t721))) % 6.41/6.68 (define @t836 () (tptp.hBOOL (tptp.hAPP @t779 @t721))) % 6.41/6.68 (define @t837 () (tptp.hBOOL (tptp.hAPP @t832 @t333))) % 6.41/6.68 (define @t838 () (tptp.hAPP @t777 @t73)) % 6.41/6.68 (define @t839 () (tptp.hBOOL (tptp.hAPP @t838 @t100))) % 6.41/6.68 (define @t840 () (= @t839 @t328)) % 6.41/6.68 (define @t841 () (tptp.hAPP @t777 @t100)) % 6.41/6.68 (define @t842 () (tptp.hBOOL (tptp.hAPP @t841 @t73))) % 6.41/6.68 (define @t843 () (tptp.hAPP @t749 @t289)) % 6.41/6.68 (define @t844 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t818 @t5) @t4))) % 6.41/6.68 (define @t845 () (@list @t1 @t2 @t8 @t74)) % 6.41/6.68 (define @t846 () (tptp.hAPP @t784 @t95)) % 6.41/6.68 (define @t847 () (tptp.hAPP @t784 @t284)) % 6.41/6.68 (define @t848 () (tptp.class_Lattices_Oboolean__algebra @t8)) % 6.41/6.68 (define @t849 () (tptp.hAPP @t784 @t100)) % 6.41/6.68 (define @t850 () (tptp.hAPP @t784 @t73)) % 6.41/6.68 (define @t851 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t8)) % 6.41/6.68 (define @t852 () (tptp.hAPP @t754 @t95)) % 6.41/6.68 (define @t853 () (tptp.hAPP @t852 @t95)) % 6.41/6.68 (define @t854 () (tptp.hAPP @t795 @t348)) % 6.41/6.68 (define @t855 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t856 () (tptp.hAPP @t855 @t562)) % 6.41/6.68 (define @t857 () (tptp.hAPP @t855 @t592)) % 6.41/6.68 (define @t858 () (tptp.hAPP @t857 @t561)) % 6.41/6.68 (define @t859 () (tptp.hAPP @t753 @t858)) % 6.41/6.68 (define @t860 () (tptp.hAPP @t753 @t561)) % 6.41/6.68 (define @t861 () (tptp.hBOOL (tptp.hAPP @t860 @t556))) % 6.41/6.68 (define @t862 () (tptp.hAPP @t753 @t592)) % 6.41/6.68 (define @t863 () (tptp.hBOOL (tptp.hAPP @t862 @t562))) % 6.41/6.68 (define @t864 () (tptp.hAPP @t753 @t336)) % 6.41/6.68 (define @t865 () (tptp.hBOOL (tptp.hAPP @t864 @t521))) % 6.41/6.68 (define @t866 () (tptp.hAPP @t753 @t521)) % 6.41/6.68 (define @t867 () (tptp.hBOOL (tptp.hAPP @t866 @t336))) % 6.41/6.68 (define @t868 () (tptp.hAPP @t753 @t562)) % 6.41/6.68 (define @t869 () (tptp.hAPP @t855 @t561)) % 6.41/6.68 (define @t870 () (tptp.hAPP @t869 @t562)) % 6.41/6.68 (define @t871 () (tptp.hAPP @t869 @t592)) % 6.41/6.68 (define @t872 () (tptp.hAPP @t856 @t561)) % 6.41/6.68 (define @t873 () (tptp.hAPP @t855 @t521)) % 6.41/6.68 (define @t874 () (tptp.hAPP @t873 @t521)) % 6.41/6.68 (define @t875 () (@list @t521)) % 6.41/6.68 (define @t876 () (tptp.hAPP @t753 @t378)) % 6.41/6.68 (define @t877 () (tptp.hBOOL (tptp.hAPP @t876 @t281))) % 6.41/6.68 (define @t878 () (tptp.hAPP tptp.c_Nat_OSuc @t205)) % 6.41/6.68 (define @t879 () (tptp.hAPP @t855 @t878)) % 6.41/6.68 (define @t880 () (tptp.hAPP @t879 @t281)) % 6.41/6.68 (define @t881 () (tptp.hAPP @t879 @t378)) % 6.41/6.68 (define @t882 () (@var "V_e_2" $$unsorted)) % 6.41/6.68 (define @t883 () (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP (tptp.hAPP @t754 @t692) @t882)) @t18)) % 6.41/6.68 (define @t884 () (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t791 @t882)) @t60)) % 6.41/6.68 (define @t885 () (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t792 @t882)) @t18)) % 6.41/6.68 (define @t886 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t885) @t884))) % 6.41/6.68 (define @t887 () (tptp.class_Rings_Oordered__ring @t8)) % 6.41/6.68 (define @t888 () (@list @t60 @t58 @t18 @t882 @t13 @t8)) % 6.41/6.68 (define @t889 () (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP (tptp.hAPP @t754 (tptp.hAPP (tptp.hAPP @t392 @t58) @t13)) @t882)) @t60)) % 6.41/6.68 (define @t890 () (tptp.hAPP @t777 @t18)) % 6.41/6.68 (define @t891 () (tptp.hAPP @t753 @t403)) % 6.41/6.68 (define @t892 () (tptp.hAPP @t476 @t58)) % 6.41/6.68 (define @t893 () (tptp.hAPP @t476 @t789)) % 6.41/6.68 (define @t894 () (tptp.hAPP @t476 @t799)) % 6.41/6.68 (define @t895 () (tptp.hBOOL (tptp.hAPP @t894 @t58))) % 6.41/6.68 (define @t896 () (tptp.hAPP @t676 @t785)) % 6.41/6.68 (define @t897 () (tptp.hAPP @t784 @t686)) % 6.41/6.68 (define @t898 () (tptp.hAPP @t392 @t39)) % 6.41/6.68 (define @t899 () (tptp.hAPP @t898 @t348)) % 6.41/6.68 (define @t900 () (tptp.hAPP @t795 @t333)) % 6.41/6.68 (define @t901 () (tptp.hAPP @t754 @t686)) % 6.41/6.68 (define @t902 () (= (tptp.hAPP @t901 @t333) (tptp.hAPP (tptp.hAPP @t676 @t900) @t794))) % 6.41/6.68 (define @t903 () (@var "V_e" $$unsorted)) % 6.41/6.68 (define @t904 () (not @t506)) % 6.41/6.68 (define @t905 () (@list @t73 @t289 @t51 @t8)) % 6.41/6.68 (define @t906 () (tptp.hAPP @t777 @t707)) % 6.41/6.68 (define @t907 () (tptp.hBOOL (tptp.hAPP @t906 @t706))) % 6.41/6.68 (define @t908 () (tptp.class_Groups_Oordered__ab__semigroup__add @t8)) % 6.41/6.68 (define @t909 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t713) @t712))) % 6.41/6.68 (define @t910 () (tptp.hBOOL (tptp.hAPP @t830 @t715))) % 6.41/6.68 (define @t911 () (= (tptp.hAPP (tptp.hAPP @t754 @t675) @t348) @t348)) % 6.41/6.68 (define @t912 () (tptp.class_Groups_Omonoid__mult @t8)) % 6.41/6.68 (define @t913 () (tptp.class_Groups_Ocomm__monoid__mult @t8)) % 6.41/6.68 (define @t914 () (= (tptp.hAPP @t795 @t675) @t348)) % 6.41/6.68 (define @t915 () (tptp.hBOOL (tptp.hAPP @t890 @t60))) % 6.41/6.68 (define @t916 () (tptp.hAPP @t744 @t721)) % 6.41/6.68 (define @t917 () (tptp.hAPP @t869 @t336)) % 6.41/6.68 (define @t918 () (tptp.hAPP @t869 @t521)) % 6.41/6.68 (define @t919 () (tptp.hAPP @t855 @t336)) % 6.41/6.68 (define @t920 () (tptp.hAPP @t919 @t561)) % 6.41/6.68 (define @t921 () (tptp.hAPP @t873 @t561)) % 6.41/6.68 (define @t922 () (tptp.hAPP @t753 @t282)) % 6.41/6.68 (define @t923 () (tptp.hBOOL (tptp.hAPP @t922 @t378))) % 6.41/6.68 (define @t924 () (not @t877)) % 6.41/6.68 (define @t925 () (tptp.hBOOL (tptp.hAPP @t876 @t282))) % 6.41/6.68 (define @t926 () (tptp.hAPP @t753 @t281)) % 6.41/6.68 (define @t927 () (tptp.hBOOL (tptp.hAPP @t926 @t378))) % 6.41/6.68 (define @t928 () (tptp.hBOOL (tptp.hAPP @t866 @t337))) % 6.41/6.68 (define @t929 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t544) @t336))) % 6.41/6.68 (define @t930 () (tptp.hAPP @t753 @t95)) % 6.41/6.68 (define @t931 () (tptp.hBOOL (tptp.hAPP @t930 @t284))) % 6.41/6.68 (define @t932 () (tptp.hAPP @t753 @t608)) % 6.41/6.68 (define @t933 () (tptp.hBOOL (tptp.hAPP @t860 @t336))) % 6.41/6.68 (define @t934 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t624) @t336))) % 6.41/6.68 (define @t935 () (tptp.hBOOL (tptp.hAPP @t930 @t576))) % 6.41/6.68 (define @t936 () (tptp.hAPP @t309 @t721)) % 6.41/6.68 (define @t937 () (tptp.hAPP @t309 @t289)) % 6.41/6.68 (define @t938 () (tptp.hAPP @t744 @t311)) % 6.41/6.68 (define @t939 () (tptp.hAPP @t468 @t336)) % 6.41/6.68 (define @t940 () (tptp.hAPP @t939 @t592)) % 6.41/6.68 (define @t941 () (@list @t336 @t592)) % 6.41/6.68 (define @t942 () (tptp.hAPP @t468 @t281)) % 6.41/6.68 (define @t943 () (tptp.hAPP @t942 @t205)) % 6.41/6.68 (define @t944 () (tptp.hAPP @t468 @t378)) % 6.41/6.68 (define @t945 () (tptp.hAPP @t944 @t205)) % 6.41/6.68 (define @t946 () (tptp.hAPP @t753 @t205)) % 6.41/6.68 (define @t947 () (tptp.hBOOL (tptp.hAPP @t946 @t281))) % 6.41/6.68 (define @t948 () (tptp.hBOOL (tptp.hAPP @t946 @t378))) % 6.41/6.68 (define @t949 () (and (= @t378 @t467) (= @t281 @t467))) % 6.41/6.68 (define @t950 () (tptp.hAPP @t855 @t378)) % 6.41/6.68 (define @t951 () (tptp.hAPP @t950 @t281)) % 6.41/6.68 (define @t952 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t819) @t2) @t1))) % 6.41/6.68 (define @t953 () (tptp.c_Orderings_Oord__class_Oless__eq @t10)) % 6.41/6.68 (define @t954 () (@var "V_ts_H_2" $$unsorted)) % 6.41/6.68 (define @t955 () (tptp.hAPP @t953 @t28)) % 6.41/6.68 (define @t956 () (tptp.hAPP @t378 @t205)) % 6.41/6.68 (define @t957 () (tptp.hAPP @t281 @t205)) % 6.41/6.68 (define @t958 () (= @t957 @t149)) % 6.41/6.68 (define @t959 () (tptp.hAPP (tptp.c_Map_Omap__add @t74 @t8 @t378 @t281) @t205)) % 6.41/6.68 (define @t960 () (@var "V_xx_2" $$unsorted)) % 6.41/6.68 (define @t961 () (tptp.hAPP @t87 @t960)) % 6.41/6.68 (define @t962 () (and @t184 @t765)) % 6.41/6.68 (define @t963 () (tptp.c_Finite__Set_Ofinite @t762)) % 6.41/6.68 (define @t964 () (tptp.hBOOL (tptp.hAPP @t963 @t761))) % 6.41/6.68 (define @t965 () (@list @t289 @t51 @t74 @t8)) % 6.41/6.68 (define @t966 () (= @t684 (tptp.hAPP @t677 @t786))) % 6.41/6.68 (define @t967 () (tptp.hAPP @t476 @t675)) % 6.41/6.68 (define @t968 () (@list @t336 @t521 @t8)) % 6.41/6.68 (define @t969 () (= @t885 @t884)) % 6.41/6.68 (define @t970 () (tptp.hBOOL (tptp.hAPP @t745 @t370))) % 6.41/6.68 (define @t971 () (tptp.hAPP @t873 @t336)) % 6.41/6.68 (define @t972 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t665) @t281))) % 6.41/6.68 (define @t973 () (@list @t333 @t39 @t348)) % 6.41/6.68 (define @t974 () (tptp.hAPP @t563 @t561)) % 6.41/6.68 (define @t975 () (tptp.hAPP (tptp.hAPP @t553 @t974) @t592)) % 6.41/6.68 (define @t976 () (tptp.hAPP (tptp.hAPP @t468 @t598) @t561)) % 6.41/6.68 (define @t977 () (tptp.hBOOL (tptp.hAPP @t860 @t562))) % 6.41/6.68 (define @t978 () (@list @t592 @t562 @t561)) % 6.41/6.68 (define @t979 () (tptp.hAPP @t593 @t974)) % 6.41/6.68 (define @t980 () (tptp.hAPP (tptp.hAPP @t468 @t594) @t561)) % 6.41/6.68 (define @t981 () (tptp.hAPP @t641 @t638)) % 6.41/6.68 (define @t982 () (tptp.hAPP @t753 @t638)) % 6.41/6.68 (define @t983 () (tptp.hBOOL (tptp.hAPP @t982 @t637))) % 6.41/6.68 (define @t984 () (@list @t521 @t336 @t561)) % 6.41/6.68 (define @t985 () (tptp.hAPP @t753 @t637)) % 6.41/6.68 (define @t986 () (@var "V_l2_2" $$unsorted)) % 6.41/6.68 (define @t987 () (@var "V_l1_2" $$unsorted)) % 6.41/6.68 (define @t988 () (tptp.hAPP (tptp.c_Map_Omap__add @t8 @t74 @t987 @t986) @t378)) % 6.41/6.68 (define @t989 () (= @t988 (tptp.hAPP @t986 @t378))) % 6.41/6.68 (define @t990 () (tptp.hBOOL (tptp.hAPP @t771 (tptp.c_Map_Odom @t8 @t74 @t986)))) % 6.41/6.68 (define @t991 () (@list @t987 @t986 @t74 @t378 @t8)) % 6.41/6.68 (define @t992 () (or (= @t957 @t88) (and @t958 (= @t956 @t88)))) % 6.41/6.68 (define @t993 () (= @t959 @t88)) % 6.41/6.68 (define @t994 () (@list @t73 @t205 @t281 @t378 @t8 @t74)) % 6.41/6.68 (define @t995 () (tptp.hAPP @t244 @t289)) % 6.41/6.68 (define @t996 () (= (tptp.hAPP (tptp.hAPP @t2 @t995) @t245) @t245)) % 6.41/6.68 (define @t997 () (tptp.c_Orderings_Oord__class_Oless__eq @t273)) % 6.41/6.68 (define @t998 () (tptp.hAPP @t997 @t289)) % 6.41/6.68 (define @t999 () (@list @t289 @t51 @t244 @t1 @t261 @t2 @t74 @t8)) % 6.41/6.68 (define @t1000 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t885) @t884))) % 6.41/6.68 (define @t1001 () (tptp.hAPP tptp.c_Nat_OSuc @t562)) % 6.41/6.68 (define @t1002 () (tptp.hAPP tptp.c_Nat_OSuc @t974)) % 6.41/6.68 (define @t1003 () (@list @t521 @t562 @t561)) % 6.41/6.68 (define @t1004 () (tptp.hAPP @t754 @t261)) % 6.41/6.68 (define @t1005 () (= @t289 @t56)) % 6.41/6.68 (define @t1006 () (not @t1005)) % 6.41/6.68 (define @t1007 () (@list @t289 @t51 @t244 @t2 @t8)) % 6.41/6.68 (define @t1008 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t356) @t289))) % 6.41/6.68 (define @t1009 () (tptp.hAPP @t469 @t649)) % 6.41/6.68 (define @t1010 () (@var "V_u_2" $$unsorted)) % 6.41/6.68 (define @t1011 () (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t855 (tptp.hAPP (tptp.hAPP @t468 @t638) @t637)) @t1010)) @t378)) % 6.41/6.68 (define @t1012 () (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t855 @t637) @t1010)) @t281)) % 6.41/6.68 (define @t1013 () (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t855 @t638) @t1010)) @t378)) % 6.41/6.68 (define @t1014 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t1013) @t1012))) % 6.41/6.68 (define @t1015 () (tptp.hBOOL (tptp.hAPP @t985 @t638))) % 6.41/6.68 (define @t1016 () (@list @t281 @t378 @t1010 @t638 @t637)) % 6.41/6.68 (define @t1017 () (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t855 @t981) @t1010)) @t281)) % 6.41/6.68 (define @t1018 () (@list @t281 @t378 @t1010 @t637 @t638)) % 6.41/6.68 (define @t1019 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t1013) @t1012))) % 6.41/6.68 (define @t1020 () (tptp.hAPP @t553 (tptp.hAPP @t856 @t332))) % 6.41/6.68 (define @t1021 () (tptp.hAPP @t553 (tptp.hAPP @t857 @t332))) % 6.41/6.68 (define @t1022 () (tptp.hAPP (tptp.hAPP @t468 (tptp.hAPP @t1021 @t521)) (tptp.hAPP @t1020 @t336))) % 6.41/6.68 (define @t1023 () (tptp.hBOOL (tptp.hAPP @t868 @t592))) % 6.41/6.68 (define @t1024 () (= @t1013 @t1012)) % 6.41/6.68 (define @t1025 () (tptp.hAPP @t563 @t592)) % 6.41/6.68 (define @t1026 () (tptp.class_Rings_Ocomm__ring__1 @t8)) % 6.41/6.68 (define @t1027 () (tptp.hAPP @t676 @t95)) % 6.41/6.68 (define @t1028 () (tptp.hAPP @t392 @t95)) % 6.41/6.68 (define @t1029 () (tptp.hAPP @t1028 @t284)) % 6.41/6.68 (define @t1030 () (tptp.hAPP @t919 @t521)) % 6.41/6.68 (define @t1031 () (tptp.hAPP @t676 @t707)) % 6.41/6.68 (define @t1032 () (tptp.hAPP @t711 @t715)) % 6.41/6.68 (define @t1033 () (tptp.class_Rings_Ocomm__semiring__1 @t8)) % 6.41/6.68 (define @t1034 () (tptp.hAPP @t677 @t1032)) % 6.41/6.68 (define @t1035 () (@list @t715 @t333 @t348 @t8)) % 6.41/6.68 (define @t1036 () (@var "V_ry" $$unsorted)) % 6.41/6.68 (define @t1037 () (@var "V_ly" $$unsorted)) % 6.41/6.68 (define @t1038 () (tptp.hAPP @t754 @t1037)) % 6.41/6.68 (define @t1039 () (@var "V_rx" $$unsorted)) % 6.41/6.68 (define @t1040 () (@var "V_lx" $$unsorted)) % 6.41/6.68 (define @t1041 () (tptp.hAPP @t754 @t1040)) % 6.41/6.68 (define @t1042 () (tptp.hAPP @t754 (tptp.hAPP @t1041 @t1039))) % 6.41/6.68 (define @t1043 () (tptp.hAPP @t754 @t1039)) % 6.41/6.68 (define @t1044 () (tptp.hAPP @t1043 @t1036)) % 6.41/6.68 (define @t1045 () (tptp.hAPP @t754 (tptp.hAPP @t1041 @t1037))) % 6.41/6.68 (define @t1046 () (tptp.hAPP @t1045 @t1044)) % 6.41/6.68 (define @t1047 () (@list @t1036 @t1039 @t1037 @t1040 @t8)) % 6.41/6.68 (define @t1048 () (tptp.hAPP @t1045 @t1039)) % 6.41/6.68 (define @t1049 () (@list @t1039 @t1037 @t1040 @t8)) % 6.41/6.68 (define @t1050 () (tptp.hAPP @t1041 @t1044)) % 6.41/6.68 (define @t1051 () (@list @t1036 @t1039 @t1040 @t8)) % 6.41/6.68 (define @t1052 () (tptp.hAPP @t793 @t348)) % 6.41/6.68 (define @t1053 () (= @t100 @t261)) % 6.41/6.68 (define @t1054 () (@var "V_w_2" $$unsorted)) % 6.41/6.68 (define @t1055 () (tptp.hAPP @t754 @t1054)) % 6.41/6.68 (define @t1056 () (tptp.hAPP @t810 @t261)) % 6.41/6.68 (define @t1057 () (tptp.hAPP @t1055 @t100)) % 6.41/6.68 (define @t1058 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t8)) % 6.41/6.68 (define @t1059 () (tptp.hAPP @t795 @t521)) % 6.41/6.68 (define @t1060 () (tptp.hAPP @t676 @t1059)) % 6.41/6.68 (define @t1061 () (tptp.hAPP @t791 @t18)) % 6.41/6.68 (define @t1062 () (tptp.hAPP @t792 @t18)) % 6.41/6.68 (define @t1063 () (tptp.hAPP @t852 @t513)) % 6.41/6.68 (define @t1064 () (tptp.hAPP @t852 @t284)) % 6.41/6.68 (define @t1065 () (tptp.hAPP (tptp.hAPP @t676 @t284) @t513)) % 6.41/6.68 (define @t1066 () (tptp.hAPP @t676 @t675)) % 6.41/6.68 (define @t1067 () (tptp.hAPP @t1066 @t675)) % 6.41/6.68 (define @t1068 () (tptp.hAPP @t754 @t1067)) % 6.41/6.68 (define @t1069 () (tptp.hAPP @t676 @t521)) % 6.41/6.68 (define @t1070 () (@list @t521 @t8)) % 6.41/6.68 (define @t1071 () (tptp.hAPP (tptp.hAPP @t754 @t678) @t521)) % 6.41/6.68 (define @t1072 () (= @t289 @t386)) % 6.41/6.68 (define @t1073 () (tptp.tc_fun @t762 tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t1074 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t1075 () (tptp.hBOOL (tptp.hAPP @t399 @t51))) % 6.41/6.68 (define @t1076 () (tptp.c_Finite__Set_Ofold1 @t8 @t754)) % 6.41/6.68 (define @t1077 () (tptp.hAPP @t1076 @t51)) % 6.41/6.68 (define @t1078 () (= (tptp.hAPP @t1076 @t104) (tptp.hAPP @t810 @t1077))) % 6.41/6.68 (define @t1079 () (@var "V_v" $$unsorted)) % 6.41/6.68 (define @t1080 () (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP (tptp.hAPP @t754 @t332) @t95)) (tptp.hAPP (tptp.hAPP @t754 @t1079) @t284))) % 6.41/6.68 (define @t1081 () (= (tptp.hAPP (tptp.hAPP @t676 @t332) @t1079) @t675)) % 6.41/6.68 (define @t1082 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 6.41/6.68 (define @t1083 () (tptp.hAPP @t777 @t1082)) % 6.41/6.68 (define @t1084 () (tptp.hBOOL (tptp.hAPP @t1083 @t1079))) % 6.41/6.68 (define @t1085 () (tptp.hBOOL (tptp.hAPP @t1083 @t332))) % 6.41/6.68 (define @t1086 () (tptp.hBOOL (tptp.hAPP @t477 @t348))) % 6.41/6.68 (define @t1087 () (@list @t1079 @t332 @t284 @t348 @t95 @t8)) % 6.41/6.68 (define @t1088 () (tptp.c_Set_Oimage @t8 @t74 @t2)) % 6.41/6.68 (define @t1089 () (tptp.hAPP @t1088 @t51)) % 6.41/6.68 (define @t1090 () (tptp.hAPP (tptp.c_Set_Oimage @t8 @t74 @t535) @t51)) % 6.41/6.68 (define @t1091 () (= @t521 @t1074)) % 6.41/6.68 (define @t1092 () (not @t1091)) % 6.41/6.68 (define @t1093 () (tptp.c_Set_Oimage @t74 @t8 @t2)) % 6.41/6.68 (define @t1094 () (tptp.hAPP @t1093 @t51)) % 6.41/6.68 (define @t1095 () (= @t58 @t115)) % 6.41/6.68 (define @t1096 () (@var "V_h_2" $$unsorted)) % 6.41/6.68 (define @t1097 () (tptp.c_Set_Oimage @t8 @t74 @t1096)) % 6.41/6.68 (define @t1098 () (@list @t1096 @t74 @t244 @t8)) % 6.41/6.68 (define @t1099 () (tptp.hAPP @t753 @t1074)) % 6.41/6.68 (define @t1100 () (tptp.hAPP @t472 @t1074)) % 6.41/6.68 (define @t1101 () (= @t73 @t1082)) % 6.41/6.68 (define @t1102 () (tptp.hAPP @t350 @t58)) % 6.41/6.68 (define @t1103 () (@list @t2 @t74 @t51 @t73 @t8)) % 6.41/6.68 (define @t1104 () (tptp.hAPP @t136 @t261)) % 6.41/6.68 (define @t1105 () (= @t51 @t386)) % 6.41/6.68 (define @t1106 () (@list @t51 @t2 @t8 @t74)) % 6.41/6.68 (define @t1107 () (@list @t2 @t8 @t74)) % 6.41/6.68 (define @t1108 () (@list @t51 @t2 @t74 @t8)) % 6.41/6.68 (define @t1109 () (tptp.hAPP @t1093 @t289)) % 6.41/6.68 (define @t1110 () (tptp.hAPP @t111 @t13)) % 6.41/6.68 (define @t1111 () (tptp.hAPP @t1110 @t289)) % 6.41/6.68 (define @t1112 () (tptp.hAPP @t1088 @t289)) % 6.41/6.68 (define @t1113 () (tptp.hAPP @t997 @t1089)) % 6.41/6.68 (define @t1114 () (tptp.hBOOL (tptp.hAPP @t1113 @t1112))) % 6.41/6.68 (define @t1115 () (@list @t2 @t74 @t289 @t51 @t8)) % 6.41/6.68 (define @t1116 () (@var "B_AA" $$unsorted)) % 6.41/6.68 (define @t1117 () (tptp.hBOOL (tptp.hAPP @t779 @t1094))) % 6.41/6.68 (define @t1118 () (tptp.hAPP @t676 @t1082)) % 6.41/6.68 (define @t1119 () (= (tptp.hAPP @t1118 @t348) @t348)) % 6.41/6.68 (define @t1120 () (tptp.class_Groups_Omonoid__add @t8)) % 6.41/6.68 (define @t1121 () (tptp.class_Groups_Ocomm__monoid__add @t8)) % 6.41/6.68 (define @t1122 () (= @t13 @t1082)) % 6.41/6.68 (define @t1123 () (tptp.hAPP @t697 @t13)) % 6.41/6.68 (define @t1124 () (tptp.class_Groups_Olinordered__ab__group__add @t8)) % 6.41/6.68 (define @t1125 () (= (tptp.hAPP @t677 @t1082) @t348)) % 6.41/6.68 (define @t1126 () (= @t39 @t1082)) % 6.41/6.68 (define @t1127 () (= @t348 @t1082)) % 6.41/6.68 (define @t1128 () (= @t796 @t1082)) % 6.41/6.68 (define @t1129 () (tptp.class_Rings_Ono__zero__divisors @t8)) % 6.41/6.68 (define @t1130 () (not @t1126)) % 6.41/6.68 (define @t1131 () (not @t1127)) % 6.41/6.68 (define @t1132 () (= @t58 @t1082)) % 6.41/6.68 (define @t1133 () (tptp.hAPP @t792 @t58)) % 6.41/6.68 (define @t1134 () (= (tptp.hAPP @t795 @t1082) @t1082)) % 6.41/6.68 (define @t1135 () (tptp.class_Rings_Omult__zero @t8)) % 6.41/6.68 (define @t1136 () (= (tptp.hAPP (tptp.hAPP @t754 @t1082) @t348) @t1082)) % 6.41/6.68 (define @t1137 () (= @t692 @t1082)) % 6.41/6.68 (define @t1138 () (tptp.class_Rings_Ozero__neq__one @t8)) % 6.41/6.68 (define @t1139 () (@var "V_nat_H" $$unsorted)) % 6.41/6.68 (define @t1140 () (@var "V_nat_H_1" $$unsorted)) % 6.41/6.68 (define @t1141 () (tptp.hBOOL (tptp.hAPP @t1100 @t281))) % 6.41/6.68 (define @t1142 () (= @t281 @t1074)) % 6.41/6.68 (define @t1143 () (not @t1142)) % 6.41/6.68 (define @t1144 () (@list @t281)) % 6.41/6.68 (define @t1145 () (= @t336 @t1074)) % 6.41/6.68 (define @t1146 () (not @t1145)) % 6.41/6.68 (define @t1147 () (tptp.hBOOL (tptp.hAPP @t1100 @t336))) % 6.41/6.68 (define @t1148 () (= @t378 @t1074)) % 6.41/6.68 (define @t1149 () (tptp.hAPP @t586 @t281)) % 6.41/6.68 (define @t1150 () (tptp.hAPP @t939 @t521)) % 6.41/6.68 (define @t1151 () (= @t551 @t1074)) % 6.41/6.68 (define @t1152 () (= @t205 @t1074)) % 6.41/6.68 (define @t1153 () (or @t579 @t1152)) % 6.41/6.68 (define @t1154 () (tptp.hAPP @t855 @t205)) % 6.41/6.68 (define @t1155 () (tptp.hAPP @t1154 @t281)) % 6.41/6.68 (define @t1156 () (tptp.hAPP @t1154 @t378)) % 6.41/6.68 (define @t1157 () (= @t1156 @t1155)) % 6.41/6.68 (define @t1158 () (tptp.hAPP @t855 @t281)) % 6.41/6.68 (define @t1159 () (tptp.hAPP @t1158 @t205)) % 6.41/6.68 (define @t1160 () (tptp.hAPP @t950 @t205)) % 6.41/6.68 (define @t1161 () (tptp.hBOOL (tptp.hAPP @t998 @t1089))) % 6.41/6.68 (define @t1162 () (tptp.hAPP @t388 @t289)) % 6.41/6.68 (define @t1163 () (@list @t289 @t51 @t2 @t74 @t8)) % 6.41/6.68 (define @t1164 () (tptp.hBOOL (tptp.hAPP @t832 @t1082))) % 6.41/6.68 (define @t1165 () (tptp.hBOOL (tptp.hAPP @t787 @t1082))) % 6.41/6.68 (define @t1166 () (tptp.class_Groups_Oordered__comm__monoid__add @t8)) % 6.41/6.68 (define @t1167 () (tptp.hBOOL (tptp.hAPP @t832 @t707))) % 6.41/6.68 (define @t1168 () (tptp.hBOOL (tptp.hAPP @t1083 @t333))) % 6.41/6.68 (define @t1169 () (@list @t348 @t39 @t333 @t8)) % 6.41/6.68 (define @t1170 () (tptp.hBOOL (tptp.hAPP @t1083 @t348))) % 6.41/6.68 (define @t1171 () (= @t100 @t1082)) % 6.41/6.68 (define @t1172 () (and @t1101 @t1171)) % 6.41/6.68 (define @t1173 () (tptp.hAPP @t676 @t73)) % 6.41/6.68 (define @t1174 () (tptp.hAPP @t1173 @t100)) % 6.41/6.68 (define @t1175 () (tptp.hBOOL (tptp.hAPP @t1083 @t39))) % 6.41/6.68 (define @t1176 () (tptp.hBOOL (tptp.hAPP @t797 @t1082))) % 6.41/6.68 (define @t1177 () (tptp.hBOOL (tptp.hAPP @t1083 @t13))) % 6.41/6.68 (define @t1178 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t796) @t1082))) % 6.41/6.68 (define @t1179 () (tptp.class_Rings_Oordered__cancel__semiring @t8)) % 6.41/6.68 (define @t1180 () (tptp.hBOOL (tptp.hAPP @t1083 @t796))) % 6.41/6.68 (define @t1181 () (tptp.hAPP @t793 @t715)) % 6.41/6.68 (define @t1182 () (tptp.hAPP @t777 @t900)) % 6.41/6.68 (define @t1183 () (=> @t1168 (tptp.hBOOL (tptp.hAPP @t1182 @t1181)))) % 6.41/6.68 (define @t1184 () (tptp.class_Rings_Oordered__semiring @t8)) % 6.41/6.68 (define @t1185 () (tptp.hAPP @t754 @t333)) % 6.41/6.68 (define @t1186 () (tptp.hAPP @t1185 @t39)) % 6.41/6.68 (define @t1187 () (tptp.hAPP @t1185 @t348)) % 6.41/6.68 (define @t1188 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1187) @t1186))) % 6.41/6.68 (define @t1189 () (tptp.hBOOL (tptp.hAPP @t830 @t1082))) % 6.41/6.68 (define @t1190 () (tptp.hBOOL (tptp.hAPP @t1182 @t794))) % 6.41/6.68 (define @t1191 () (=> @t788 (=> @t1168 @t1188))) % 6.41/6.68 (define @t1192 () (tptp.hBOOL (tptp.hAPP @t1083 @t58))) % 6.41/6.68 (define @t1193 () (tptp.hBOOL (tptp.hAPP @t807 @t1082))) % 6.41/6.68 (define @t1194 () (or (and @t1177 @t1193) (and @t1176 @t1192))) % 6.41/6.68 (define @t1195 () (tptp.class_Rings_Olinordered__ring__strict @t8)) % 6.41/6.68 (define @t1196 () (or (and @t1177 @t1192) (and @t1176 @t1193))) % 6.41/6.68 (define @t1197 () (tptp.class_Rings_Olinordered__ring @t8)) % 6.41/6.68 (define @t1198 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t686) @t1082))) % 6.41/6.68 (define @t1199 () (tptp.hBOOL (tptp.hAPP @t498 @t1082))) % 6.41/6.68 (define @t1200 () (=> @t1199 @t1198)) % 6.41/6.68 (define @t1201 () (tptp.hBOOL (tptp.hAPP @t500 @t1082))) % 6.41/6.68 (define @t1202 () (tptp.hBOOL (tptp.hAPP @t498 @t707))) % 6.41/6.68 (define @t1203 () (=> @t505 @t1202)) % 6.41/6.68 (define @t1204 () (tptp.hAPP @t476 @t1082)) % 6.41/6.68 (define @t1205 () (tptp.hBOOL (tptp.hAPP @t1204 @t348))) % 6.41/6.68 (define @t1206 () (tptp.hBOOL (tptp.hAPP @t1204 @t686))) % 6.41/6.68 (define @t1207 () (tptp.hBOOL (tptp.hAPP @t1204 @t39))) % 6.41/6.68 (define @t1208 () (=> @t1207 @t1206)) % 6.41/6.68 (define @t1209 () (tptp.hBOOL (tptp.hAPP @t690 @t1082))) % 6.41/6.68 (define @t1210 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t1123) @t1082)) @t1209)) % 6.41/6.68 (define @t1211 () (tptp.hBOOL (tptp.hAPP @t1204 @t13))) % 6.41/6.68 (define @t1212 () (tptp.hBOOL (tptp.hAPP @t892 @t13))) % 6.41/6.68 (define @t1213 () (tptp.hBOOL (tptp.hAPP @t688 @t1082))) % 6.41/6.68 (define @t1214 () (tptp.hBOOL (tptp.hAPP @t1204 @t18))) % 6.41/6.68 (define @t1215 () (or (and @t1214 @t691) (and @t1213 @t1212))) % 6.41/6.68 (define @t1216 () (tptp.hAPP @t476 @t1062)) % 6.41/6.68 (define @t1217 () (tptp.hAPP @t754 @t18)) % 6.41/6.68 (define @t1218 () (tptp.hAPP @t1217 @t58)) % 6.41/6.68 (define @t1219 () (tptp.hAPP @t1217 @t13)) % 6.41/6.68 (define @t1220 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t1219) @t1218))) % 6.41/6.68 (define @t1221 () (tptp.hBOOL (tptp.hAPP @t1204 @t796))) % 6.41/6.68 (define @t1222 () (tptp.class_Rings_Olinordered__semiring__strict @t8)) % 6.41/6.68 (define @t1223 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t796) @t1082))) % 6.41/6.68 (define @t1224 () (=> @t1205 @t1207)) % 6.41/6.68 (define @t1225 () (tptp.hAPP @t476 @t900)) % 6.41/6.68 (define @t1226 () (tptp.hBOOL (tptp.hAPP @t1225 @t794))) % 6.41/6.68 (define @t1227 () (tptp.hBOOL (tptp.hAPP @t1204 @t333))) % 6.41/6.68 (define @t1228 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t1187) @t1186))) % 6.41/6.68 (define @t1229 () (=> @t501 (=> @t1227 @t1228))) % 6.41/6.68 (define @t1230 () (tptp.hBOOL (tptp.hAPP @t509 @t1082))) % 6.41/6.68 (define @t1231 () (tptp.hAPP (tptp.hAPP @t676 @t811) (tptp.hAPP (tptp.hAPP @t754 @t100) @t100))) % 6.41/6.68 (define @t1232 () (@var "V_r" $$unsorted)) % 6.41/6.68 (define @t1233 () (tptp.hAPP @t754 @t1232)) % 6.41/6.68 (define @t1234 () (tptp.hAPP @t777 @t675)) % 6.41/6.68 (define @t1235 () (= (tptp.hAPP @t896 @t348) @t1082)) % 6.41/6.68 (define @t1236 () (@var "B_j" $$unsorted)) % 6.41/6.68 (define @t1237 () (tptp.hAPP @t472 @t1236)) % 6.41/6.68 (define @t1238 () (@list @t1236)) % 6.41/6.68 (define @t1239 () (tptp.hAPP tptp.c_Nat_OSuc @t1074)) % 6.41/6.68 (define @t1240 () (@var "B_m" $$unsorted)) % 6.41/6.68 (define @t1241 () (= @t281 (tptp.hAPP tptp.c_Nat_OSuc @t1240))) % 6.41/6.68 (define @t1242 () (@list @t1240)) % 6.41/6.68 (define @t1243 () (= @t281 @t1239)) % 6.41/6.68 (define @t1244 () (= @t378 @t1239)) % 6.41/6.68 (define @t1245 () (or (and @t1244 @t1142) (and @t1148 @t1243))) % 6.41/6.68 (define @t1246 () (tptp.hBOOL (tptp.hAPP @t1100 @t378))) % 6.41/6.68 (define @t1247 () (= @t403 @t1074)) % 6.41/6.68 (define @t1248 () (not @t184)) % 6.41/6.68 (define @t1249 () (=> @t1248 @t1247)) % 6.41/6.68 (define @t1250 () (tptp.hAPP @t942 @t378)) % 6.41/6.68 (define @t1251 () (tptp.hBOOL (tptp.hAPP @t1100 @t521))) % 6.41/6.68 (define @t1252 () (tptp.hBOOL (tptp.hAPP @t1100 @t561))) % 6.41/6.68 (define @t1253 () (tptp.hBOOL (tptp.hAPP @t1100 @t205))) % 6.41/6.68 (define @t1254 () (and @t1253 @t601)) % 6.41/6.68 (define @t1255 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t1156) @t1155))) % 6.41/6.68 (define @t1256 () (tptp.c_Finite__Set_Ofold1 @t8 @t2)) % 6.41/6.68 (define @t1257 () (tptp.hAPP @t944 @t281)) % 6.41/6.68 (define @t1258 () (tptp.hAPP @t1256 @t51)) % 6.41/6.68 (define @t1259 () (=> @t184 (= @t245 @t1258))) % 6.41/6.68 (define @t1260 () (tptp.hAPP @t758 @t1089)) % 6.41/6.68 (define @t1261 () (@list @t2 @t74 @t51 @t8)) % 6.41/6.68 (define @t1262 () (=> @t1227 @t788)) % 6.41/6.68 (define @t1263 () (=> @t1168 @t501)) % 6.41/6.68 (define @t1264 () (=> @t1228 @t1263)) % 6.41/6.68 (define @t1265 () (tptp.class_Rings_Olinordered__semiring @t8)) % 6.41/6.68 (define @t1266 () (=> @t1226 @t1263)) % 6.41/6.68 (define @t1267 () (tptp.hBOOL (tptp.hAPP @t1225 @t1181))) % 6.41/6.68 (define @t1268 () (=> @t1168 @t1267)) % 6.41/6.68 (define @t1269 () (tptp.hBOOL (tptp.hAPP @t807 @t13))) % 6.41/6.68 (define @t1270 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1219) @t1218))) % 6.41/6.68 (define @t1271 () (tptp.hAPP @t754 @t284)) % 6.41/6.68 (define @t1272 () (tptp.hAPP (tptp.hAPP @t676 @t853) (tptp.hAPP @t1271 @t284))) % 6.41/6.68 (define @t1273 () (not @t1171)) % 6.41/6.68 (define @t1274 () (or (not @t1101) @t1273)) % 6.41/6.68 (define @t1275 () (tptp.hBOOL (tptp.hAPP @t815 @t675))) % 6.41/6.68 (define @t1276 () (tptp.hBOOL (tptp.hAPP @t1083 @t284))) % 6.41/6.68 (define @t1277 () (tptp.hBOOL (tptp.hAPP @t1083 @t95))) % 6.41/6.68 (define @t1278 () (tptp.hAPP @t1271 @t95)) % 6.41/6.68 (define @t1279 () (tptp.hBOOL (tptp.hAPP @t1100 @t403))) % 6.41/6.68 (define @t1280 () (tptp.hAPP @t472 @t1239)) % 6.41/6.68 (define @t1281 () (tptp.hBOOL (tptp.hAPP @t1280 @t521))) % 6.41/6.68 (define @t1282 () (tptp.hBOOL (tptp.hAPP @t1280 @t336))) % 6.41/6.68 (define @t1283 () (@var "B_d" $$unsorted)) % 6.41/6.68 (define @t1284 () (tptp.hAPP @t117 @t1283)) % 6.41/6.68 (define @t1285 () (tptp.hBOOL @t1284)) % 6.41/6.68 (define @t1286 () (= @t13 (tptp.hAPP (tptp.hAPP @t553 @t58) @t1283))) % 6.41/6.68 (define @t1287 () (@list @t1283)) % 6.41/6.68 (define @t1288 () (tptp.hBOOL (tptp.hAPP @t117 @t1074))) % 6.41/6.68 (define @t1289 () (not @t1288)) % 6.41/6.68 (define @t1290 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t13) @t58))) % 6.41/6.68 (define @t1291 () (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP (tptp.hAPP @t468 @t13) @t58)))) % 6.41/6.68 (define @t1292 () (@list @t58 @t13 @t117)) % 6.41/6.68 (define @t1293 () (tptp.hAPP @t753 @t1239)) % 6.41/6.68 (define @t1294 () (=> @t1253 @t877)) % 6.41/6.68 (define @t1295 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t1156) @t1155))) % 6.41/6.68 (define @t1296 () (tptp.hBOOL (tptp.hAPP @t778 @t348))) % 6.41/6.68 (define @t1297 () (tptp.hAPP @t939 @t467)) % 6.41/6.68 (define @t1298 () (tptp.hAPP tptp.c_Nat_OSuc @t1297)) % 6.41/6.68 (define @t1299 () (@var "V_fa_2" $$unsorted)) % 6.41/6.68 (define @t1300 () (tptp.hAPP (tptp.hAPP @t754 @t3) @t43)) % 6.41/6.68 (define @t1301 () (@var "B_B" $$unsorted)) % 6.41/6.68 (define @t1302 () (@var "B_b" $$unsorted)) % 6.41/6.68 (define @t1303 () (tptp.hAPP @t136 @t1302)) % 6.41/6.68 (define @t1304 () (tptp.hAPP @t553 (tptp.hAPP @t1299 @t13))) % 6.41/6.68 (define @t1305 () (tptp.hAPP @t393 @t56)) % 6.41/6.68 (define @t1306 () (tptp.hAPP (tptp.hAPP @t178 @t176) @t344)) % 6.41/6.68 (define @t1307 () (= @t179 @t56)) % 6.41/6.68 (define @t1308 () (@list @t229 @t230)) % 6.41/6.68 (define @t1309 () (= (= @t1123 @t1082) @t1122)) % 6.41/6.68 (define @t1310 () (@list @t1299 @t8)) % 6.41/6.68 (define @t1311 () (@var "V_pname" $$unsorted)) % 6.41/6.68 (define @t1312 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t1311)) % 6.41/6.68 (define @t1313 () (@list @t1311)) % 6.41/6.68 (define @t1314 () (@list @t153 @t91 @t156)) % 6.41/6.68 (define @t1315 () (@var "V_nat" $$unsorted)) % 6.41/6.68 (define @t1316 () (tptp.hAPP tptp.c_Nat_OSuc @t1315)) % 6.41/6.68 (define @t1317 () (@list @t1315)) % 6.41/6.68 (define @t1318 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t1319 () (tptp.c_Nat_Osize__class_Osize @t407)) % 6.41/6.68 (define @t1320 () (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t1066 @t13)) @t13)) % 6.41/6.68 (define @t1321 () (tptp.c_Int_Oring__1__class_OInts @t8)) % 6.41/6.68 (define @t1322 () (tptp.hBOOL (tptp.hAPP @t298 @t1321))) % 6.41/6.68 (define @t1323 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Com_Ocom)) % 6.41/6.68 (define @t1324 () (@var "V_N_2" $$unsorted)) % 6.41/6.68 (define @t1325 () (tptp.c_Set_Oimage @t8 @t8 @t1096)) % 6.41/6.68 (define @t1326 () (tptp.hAPP @t1325 @t1324)) % 6.41/6.68 (define @t1327 () (not (= @t1324 @t56))) % 6.41/6.68 (define @t1328 () (tptp.hBOOL (tptp.hAPP @t182 @t1324))) % 6.41/6.68 (define @t1329 () (tptp.hAPP @t1096 @t43)) % 6.41/6.68 (define @t1330 () (tptp.hAPP @t1096 @t3)) % 6.41/6.68 (define @t1331 () (@list @t1324 @t1096 @t8)) % 6.41/6.68 (define @t1332 () (@var "B_i" $$unsorted)) % 6.41/6.68 (define @t1333 () (tptp.hAPP @t117 @t1332)) % 6.41/6.68 (define @t1334 () (tptp.hBOOL @t1333)) % 6.41/6.68 (define @t1335 () (tptp.hAPP @t753 @t1332)) % 6.41/6.68 (define @t1336 () (@list @t1332)) % 6.41/6.68 (define @t1337 () (tptp.hBOOL @t663)) % 6.41/6.68 (define @t1338 () (tptp.hAPP @t136 @t1082)) % 6.41/6.68 (define @t1339 () (tptp.class_Rings_Oring__1 @t8)) % 6.41/6.68 (define @t1340 () (tptp.hAPP @t136 @t730)) % 6.41/6.68 (define @t1341 () (tptp.hBOOL (tptp.hAPP @t329 @t1321))) % 6.41/6.68 (define @t1342 () (tptp.hAPP @t136 @t1133)) % 6.41/6.68 (define @t1343 () (tptp.hAPP @t136 @t675)) % 6.41/6.68 (define @t1344 () (tptp.class_Int_Oring__char__0 @t8)) % 6.41/6.68 (define @t1345 () (tptp.c_Groups_Osgn__class_Osgn @t8 @t95)) % 6.41/6.68 (define @t1346 () (tptp.hBOOL (tptp.hAPP @t1204 @t95))) % 6.41/6.68 (define @t1347 () (= @t95 @t1082)) % 6.41/6.68 (define @t1348 () (tptp.class_Groups_Osgn__if @t8)) % 6.41/6.68 (define @t1349 () (tptp.c_Groups_Osgn__class_Osgn @t8 @t13)) % 6.41/6.68 (define @t1350 () (tptp.c_Groups_Osgn__class_Osgn @t8 @t348)) % 6.41/6.68 (define @t1351 () (tptp.c_Com_Ocom_OCond @t153 @t219 @t216)) % 6.41/6.68 (define @t1352 () (@list @t216 @t219 @t153)) % 6.41/6.68 (define @t1353 () (= @t467 @t1074)) % 6.41/6.68 (define @t1354 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t1355 () (tptp.hAPP @t1354 @t1079)) % 6.41/6.68 (define @t1356 () (tptp.hAPP (tptp.hAPP @t468 @t1355) @t467)) % 6.41/6.68 (define @t1357 () (@list @t1079)) % 6.41/6.68 (define @t1358 () (@var "V_s1_2" $$unsorted)) % 6.41/6.68 (define @t1359 () (@var "V_c1_2" $$unsorted)) % 6.41/6.68 (define @t1360 () (@var "V_c0_2" $$unsorted)) % 6.41/6.68 (define @t1361 () (tptp.c_Com_Ocom_OCond @t58 @t1360 @t1359)) % 6.41/6.68 (define @t1362 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t1361) @t428) @t281) @t1358))) % 6.41/6.68 (define @t1363 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t1359) @t428) @t281)) % 6.41/6.68 (define @t1364 () (tptp.hBOOL (tptp.hAPP @t58 @t428))) % 6.41/6.68 (define @t1365 () (not @t1364)) % 6.41/6.68 (define @t1366 () (@var "V_c2_2" $$unsorted)) % 6.41/6.68 (define @t1367 () (tptp.c_Com_Ocom_OCond @t58 @t1359 @t1366)) % 6.41/6.68 (define @t1368 () (tptp.hAPP (tptp.c_Natural_Oevalc @t1359) @t428)) % 6.41/6.68 (define @t1369 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t1361) @t428) @t1358))) % 6.41/6.68 (define @t1370 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t1359))) % 6.41/6.68 (define @t1371 () (tptp.c_Com_Ocom_OCond @t152 @t218 @t215)) % 6.41/6.68 (define @t1372 () (tptp.c_Int_Onumber__class_Onumber__of @t8)) % 6.41/6.68 (define @t1373 () (tptp.hAPP @t1372 @t1054)) % 6.41/6.68 (define @t1374 () (tptp.class_Int_Onumber @t8)) % 6.41/6.68 (define @t1375 () (tptp.hAPP @t1372 @t100)) % 6.41/6.68 (define @t1376 () (tptp.hAPP @t1372 @t73)) % 6.41/6.68 (define @t1377 () (= @t1376 @t1375)) % 6.41/6.68 (define @t1378 () (tptp.class_Int_Onumber__ring @t8)) % 6.41/6.68 (define @t1379 () (and @t1378 @t1344)) % 6.41/6.68 (define @t1380 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1381 () (tptp.hAPP @t1380 @t73)) % 6.41/6.68 (define @t1382 () (tptp.hBOOL (tptp.hAPP @t1381 @t100))) % 6.41/6.68 (define @t1383 () (tptp.hAPP @t777 @t1376)) % 6.41/6.68 (define @t1384 () (and @t1378 @t725)) % 6.41/6.68 (define @t1385 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1386 () (tptp.hAPP @t1385 @t73)) % 6.41/6.68 (define @t1387 () (tptp.hBOOL (tptp.hAPP @t1386 @t100))) % 6.41/6.68 (define @t1388 () (tptp.hAPP @t476 @t1376)) % 6.41/6.68 (define @t1389 () (@var "V_w" $$unsorted)) % 6.41/6.68 (define @t1390 () (tptp.hAPP @t1372 @t1389)) % 6.41/6.68 (define @t1391 () (tptp.hAPP @t1372 @t1079)) % 6.41/6.68 (define @t1392 () (tptp.hAPP @t676 @t1391)) % 6.41/6.68 (define @t1393 () (tptp.hAPP @t1392 @t1390)) % 6.41/6.68 (define @t1394 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1395 () (tptp.hAPP @t1394 @t1079)) % 6.41/6.68 (define @t1396 () (tptp.hAPP @t1395 @t1389)) % 6.41/6.68 (define @t1397 () (tptp.hAPP @t1372 @t1396)) % 6.41/6.68 (define @t1398 () (@list @t1389 @t1079 @t8)) % 6.41/6.68 (define @t1399 () (@list @t513 @t1389 @t1079 @t8)) % 6.41/6.68 (define @t1400 () (tptp.hAPP @t754 @t1391)) % 6.41/6.68 (define @t1401 () (tptp.hAPP @t1400 @t1390)) % 6.41/6.68 (define @t1402 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1403 () (tptp.hAPP @t1402 @t1079)) % 6.41/6.68 (define @t1404 () (tptp.hAPP @t1403 @t1389)) % 6.41/6.68 (define @t1405 () (tptp.hAPP @t1372 @t1404)) % 6.41/6.68 (define @t1406 () (tptp.hAPP @t392 @t1391)) % 6.41/6.68 (define @t1407 () (tptp.hAPP @t1406 @t1390)) % 6.41/6.68 (define @t1408 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1409 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1410 () (tptp.hAPP @t1409 @t1389)) % 6.41/6.68 (define @t1411 () (tptp.hAPP @t1395 @t1410)) % 6.41/6.68 (define @t1412 () (tptp.hAPP @t1372 @t1411)) % 6.41/6.68 (define @t1413 () (tptp.hAPP @t1372 @t1410)) % 6.41/6.68 (define @t1414 () (tptp.hAPP @t784 @t1390)) % 6.41/6.68 (define @t1415 () (@list @t1389 @t8)) % 6.41/6.68 (define @t1416 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t433) @t179) @t346) @t344))) % 6.41/6.68 (define @t1417 () (tptp.hBOOL (tptp.hAPP @t176 @t179))) % 6.41/6.68 (define @t1418 () (not @t1417)) % 6.41/6.68 (define @t1419 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t178) @t179) @t346)) % 6.41/6.68 (define @t1420 () (tptp.hBOOL (tptp.hAPP @t1419 @t344))) % 6.41/6.68 (define @t1421 () (tptp.hAPP (tptp.c_Natural_Oevalc @t178) @t179)) % 6.41/6.68 (define @t1422 () (tptp.hBOOL (tptp.hAPP @t1421 @t346))) % 6.41/6.68 (define @t1423 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t344) @t179) @t346))) % 6.41/6.68 (define @t1424 () (@list @t215 @t218 @t152)) % 6.41/6.68 (define @t1425 () (tptp.hAPP @t1372 @t240)) % 6.41/6.68 (define @t1426 () (tptp.hAPP @t476 @t1373)) % 6.41/6.68 (define @t1427 () (@list @t1054 @t240 @t8)) % 6.41/6.68 (define @t1428 () (tptp.c_Int_Onumber__class_Onumber__of @t74)) % 6.41/6.68 (define @t1429 () (tptp.hAPP @t1428 @t1079)) % 6.41/6.68 (define @t1430 () (tptp.c_Groups_Otimes__class_Otimes @t74)) % 6.41/6.68 (define @t1431 () (tptp.hAPP (tptp.hAPP @t1430 @t39) @t1429)) % 6.41/6.68 (define @t1432 () (tptp.hAPP (tptp.hAPP @t1430 @t348) @t1429)) % 6.41/6.68 (define @t1433 () (tptp.c_Groups_Oplus__class_Oplus @t74)) % 6.41/6.68 (define @t1434 () (tptp.class_Int_Onumber @t74)) % 6.41/6.68 (define @t1435 () (and @t1434 (tptp.class_Rings_Osemiring @t74))) % 6.41/6.68 (define @t1436 () (@list @t1079 @t39 @t348 @t74)) % 6.41/6.68 (define @t1437 () (tptp.hAPP @t1430 @t1429)) % 6.41/6.68 (define @t1438 () (tptp.hAPP @t1437 @t333)) % 6.41/6.68 (define @t1439 () (tptp.hAPP @t1437 @t39)) % 6.41/6.68 (define @t1440 () (@list @t333 @t39 @t1079 @t74)) % 6.41/6.68 (define @t1441 () (tptp.c_Groups_Ominus__class_Ominus @t74)) % 6.41/6.68 (define @t1442 () (tptp.class_Rings_Oring @t74)) % 6.41/6.68 (define @t1443 () (and @t1434 @t1442)) % 6.41/6.68 (define @t1444 () (@list @t513 @t1389 @t8)) % 6.41/6.68 (define @t1445 () (tptp.hAPP @t136 @t1373)) % 6.41/6.68 (define @t1446 () (@list @t1054 @t8)) % 6.41/6.68 (define @t1447 () (tptp.hAPP (tptp.hAPP @t553 (tptp.c_Com_Ocom_Ocom__size @t164)) @t1239)) % 6.41/6.68 (define @t1448 () (@var "V_loc_2" $$unsorted)) % 6.41/6.68 (define @t1449 () (tptp.c_Com_Ocom_OLocal @t1448 @t153 @t164)) % 6.41/6.68 (define @t1450 () (@list @t164 @t153 @t1448)) % 6.41/6.68 (define @t1451 () (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t1323 @t164)) @t1239)) % 6.41/6.68 (define @t1452 () (= (tptp.hAPP @t1076 @t54) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t8 @t754) @t13) @t51))) % 6.41/6.68 (define @t1453 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Com_Ocom @t15 tptp.tc_Com_Opname) tptp.c_Hoare__Mirabelle_OMGT)) % 6.41/6.68 (define @t1454 () (tptp.c_Set_Oimage tptp.tc_Com_Opname @t15 (tptp.hAPP @t1453 tptp.c_Com_Ocom_OBODY))) % 6.41/6.68 (define @t1455 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) @t49) tptp.c_Com_Obody)) % 6.41/6.68 (define @t1456 () (tptp.c_Set_Oimage tptp.tc_Com_Opname @t15 (tptp.hAPP @t1453 @t1455))) % 6.41/6.68 (define @t1457 () (tptp.hAPP @t1372 @t561)) % 6.41/6.68 (define @t1458 () (tptp.c_Int_Osucc @t561)) % 6.41/6.68 (define @t1459 () (@list @t561 @t8)) % 6.41/6.68 (define @t1460 () (@var "V_Y_2" $$unsorted)) % 6.41/6.68 (define @t1461 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t1460 @t13 @t18)))) % 6.41/6.68 (define @t1462 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1463 () (tptp.hAPP @t1462 @t1389)) % 6.41/6.68 (define @t1464 () (tptp.hAPP @t1462 @t1079)) % 6.41/6.68 (define @t1465 () (@list @t1389 @t1079)) % 6.41/6.68 (define @t1466 () (tptp.hAPP @t1409 @t1463)) % 6.41/6.68 (define @t1467 () (@list @t1389)) % 6.41/6.68 (define @t1468 () (@var "V_l_2" $$unsorted)) % 6.41/6.68 (define @t1469 () (tptp.hAPP @t1380 @t205)) % 6.41/6.68 (define @t1470 () (tptp.hBOOL (tptp.hAPP @t1469 @t1468))) % 6.41/6.68 (define @t1471 () (tptp.hAPP @t1462 @t1468)) % 6.41/6.68 (define @t1472 () (tptp.hAPP @t1462 @t205)) % 6.41/6.68 (define @t1473 () (@list @t1468 @t205)) % 6.41/6.68 (define @t1474 () (tptp.hAPP @t1385 @t205)) % 6.41/6.68 (define @t1475 () (tptp.hBOOL (tptp.hAPP @t1474 @t1468))) % 6.41/6.68 (define @t1476 () (tptp.hAPP @t1394 @t1464)) % 6.41/6.68 (define @t1477 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1478 () (tptp.hAPP @t1409 @t1477)) % 6.41/6.68 (define @t1479 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t592)) % 6.41/6.68 (define @t1480 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1481 () (tptp.hAPP @t1385 @t1480)) % 6.41/6.68 (define @t1482 () (tptp.hBOOL (tptp.hAPP @t1481 @t592))) % 6.41/6.68 (define @t1483 () (= @t592 @t1480)) % 6.41/6.68 (define @t1484 () (@list @t592)) % 6.41/6.68 (define @t1485 () (tptp.hAPP @t1402 @t561)) % 6.41/6.68 (define @t1486 () (tptp.hBOOL (tptp.hAPP @t1481 @t561))) % 6.41/6.68 (define @t1487 () (tptp.hAPP @t1385 @t592)) % 6.41/6.68 (define @t1488 () (tptp.hBOOL (tptp.hAPP @t1487 @t562))) % 6.41/6.68 (define @t1489 () (and (= @t378 @t1477) (= @t281 @t1477))) % 6.41/6.68 (define @t1490 () (= (tptp.hAPP (tptp.hAPP @t1402 @t378) @t281) @t1477)) % 6.41/6.68 (define @t1491 () (tptp.hAPP @t1394 @t1477)) % 6.41/6.68 (define @t1492 () (tptp.hAPP @t1491 @t513)) % 6.41/6.68 (define @t1493 () (tptp.hAPP @t1380 @t1480)) % 6.41/6.68 (define @t1494 () (tptp.hBOOL (tptp.hAPP @t1493 @t513))) % 6.41/6.68 (define @t1495 () (@list @t513)) % 6.41/6.68 (define @t1496 () (tptp.hBOOL (tptp.hAPP @t1481 @t261))) % 6.41/6.68 (define @t1497 () (tptp.hAPP @t1380 @t1477)) % 6.41/6.68 (define @t1498 () (@list @t261)) % 6.41/6.68 (define @t1499 () (tptp.hAPP @t1409 @t513)) % 6.41/6.68 (define @t1500 () (tptp.hAPP @t1394 @t1499)) % 6.41/6.68 (define @t1501 () (tptp.hAPP @t1385 @t261)) % 6.41/6.68 (define @t1502 () (tptp.hBOOL (tptp.hAPP @t1501 @t1480))) % 6.41/6.68 (define @t1503 () (tptp.hAPP (tptp.hAPP @t1408 @t205) @t1468)) % 6.41/6.68 (define @t1504 () (tptp.hAPP @t1394 @t513)) % 6.41/6.68 (define @t1505 () (tptp.c_COMBI @t8)) % 6.41/6.68 (define @t1506 () (@list @t1460 @t8)) % 6.41/6.68 (define @t1507 () (tptp.c_COMBB @t74 @t8 @t210)) % 6.41/6.68 (define @t1508 () (tptp.c_Set_Oimage @t210 @t74 @t1)) % 6.41/6.68 (define @t1509 () (@list @t95)) % 6.41/6.68 (define @t1510 () (tptp.hAPP @t1408 @t561)) % 6.41/6.68 (define @t1511 () (tptp.c_Int_Opred @t561)) % 6.41/6.68 (define @t1512 () (@list @t561)) % 6.41/6.68 (define @t1513 () (@var "V_z3" $$unsorted)) % 6.41/6.68 (define @t1514 () (@var "V_z2" $$unsorted)) % 6.41/6.68 (define @t1515 () (@var "V_z1" $$unsorted)) % 6.41/6.68 (define @t1516 () (tptp.hAPP @t1394 @t1515)) % 6.41/6.68 (define @t1517 () (tptp.hAPP @t1516 @t1514)) % 6.41/6.68 (define @t1518 () (@list @t1513 @t1514 @t1515)) % 6.41/6.68 (define @t1519 () (tptp.hAPP @t1394 @t95)) % 6.41/6.68 (define @t1520 () (tptp.hAPP @t1394 @t284)) % 6.41/6.68 (define @t1521 () (tptp.hAPP @t1394 @t1389)) % 6.41/6.68 (define @t1522 () (tptp.hAPP @t1521 @t513)) % 6.41/6.68 (define @t1523 () (tptp.hAPP @t1504 @t1389)) % 6.41/6.68 (define @t1524 () (@list @t1389 @t513)) % 6.41/6.68 (define @t1525 () (tptp.hAPP @t1394 @t561)) % 6.41/6.68 (define @t1526 () (tptp.hAPP @t1394 @t592)) % 6.41/6.68 (define @t1527 () (= @t1054 @t261)) % 6.41/6.68 (define @t1528 () (tptp.hAPP @t1385 @t1054)) % 6.41/6.68 (define @t1529 () (tptp.hBOOL (tptp.hAPP @t1528 @t261))) % 6.41/6.68 (define @t1530 () (tptp.hBOOL (tptp.hAPP @t1528 (tptp.hAPP (tptp.hAPP @t1394 @t261) @t1477)))) % 6.41/6.68 (define @t1531 () (@list @t261 @t1054)) % 6.41/6.68 (define @t1532 () (tptp.hAPP @t1385 @t284)) % 6.41/6.68 (define @t1533 () (tptp.hAPP @t1385 @t95)) % 6.41/6.68 (define @t1534 () (tptp.hAPP @t1380 @t1389)) % 6.41/6.68 (define @t1535 () (tptp.hBOOL (tptp.hAPP @t1534 @t513))) % 6.41/6.68 (define @t1536 () (tptp.hAPP @t1380 @t513)) % 6.41/6.68 (define @t1537 () (tptp.hBOOL (tptp.hAPP @t1536 @t1389))) % 6.41/6.68 (define @t1538 () (tptp.hAPP @t1380 @t592)) % 6.41/6.68 (define @t1539 () (tptp.hBOOL (tptp.hAPP @t1538 @t562))) % 6.41/6.68 (define @t1540 () (tptp.hAPP @t1402 @t1514)) % 6.41/6.68 (define @t1541 () (tptp.hAPP @t1402 @t1515)) % 6.41/6.68 (define @t1542 () (tptp.hAPP @t1402 @t513)) % 6.41/6.68 (define @t1543 () (tptp.hAPP @t1542 @t1389)) % 6.41/6.68 (define @t1544 () (tptp.hAPP @t1402 @t1389)) % 6.41/6.68 (define @t1545 () (tptp.hAPP @t1544 @t513)) % 6.41/6.68 (define @t1546 () (tptp.hAPP @t1544 @t1514)) % 6.41/6.68 (define @t1547 () (tptp.hAPP @t1544 @t1515)) % 6.41/6.68 (define @t1548 () (tptp.hAPP (tptp.hAPP @t1408 @t1515) @t1514)) % 6.41/6.68 (define @t1549 () (@list @t1514 @t1515 @t1389)) % 6.41/6.68 (define @t1550 () (tptp.hAPP @t1540 @t1389)) % 6.41/6.68 (define @t1551 () (tptp.hAPP @t1541 @t1389)) % 6.41/6.68 (define @t1552 () (@list @t1389 @t1514 @t1515)) % 6.41/6.68 (define @t1553 () (tptp.hAPP @t1380 @t261)) % 6.41/6.68 (define @t1554 () (@list @t1054 @t261)) % 6.41/6.68 (define @t1555 () (tptp.hAPP @t1380 @t1054)) % 6.41/6.68 (define @t1556 () (tptp.hBOOL (tptp.hAPP @t1555 @t261))) % 6.41/6.68 (define @t1557 () (tptp.hAPP @t1394 @t1054)) % 6.41/6.68 (define @t1558 () (@list @t513 @t1389)) % 6.41/6.68 (define @t1559 () (@var "V_z_H" $$unsorted)) % 6.41/6.68 (define @t1560 () (@var "V_w_H" $$unsorted)) % 6.41/6.68 (define @t1561 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t1559) @t513))) % 6.41/6.68 (define @t1562 () (tptp.hAPP @t1504 @t1410)) % 6.41/6.68 (define @t1563 () (tptp.hAPP @t1408 @t513)) % 6.41/6.68 (define @t1564 () (tptp.hAPP @t1563 @t1389)) % 6.41/6.68 (define @t1565 () (tptp.hAPP @t1408 @t261)) % 6.41/6.68 (define @t1566 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t449 @t13) @t58) @t73)) % 6.41/6.68 (define @t1567 () (@var "V_loc_H_2" $$unsorted)) % 6.41/6.68 (define @t1568 () (tptp.c_Com_Ocom_OLocal @t1567 @t152 @t163)) % 6.41/6.68 (define @t1569 () (@var "V_xa_2" $$unsorted)) % 6.41/6.68 (define @t1570 () (tptp.hAPP (tptp.c_COMBK @t407 @t74) @t149)) % 6.41/6.68 (define @t1571 () (tptp.hAPP (tptp.c_COMBK @t418 @t8) @t159)) % 6.41/6.68 (define @t1572 () (@list @t378 @t74 @t8)) % 6.41/6.68 (define @t1573 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t74 @t8 @t2) @t261)) % 6.41/6.68 (define @t1574 () (@list @t73 @t378 @t210 @t8 @t74)) % 6.41/6.68 (define @t1575 () (tptp.hAPP (tptp.c_COMBK @t418 @t210) @t159)) % 6.41/6.68 (define @t1576 () (tptp.c_COMBC @t8 @t55 @t55)) % 6.41/6.68 (define @t1577 () (tptp.hAPP (tptp.hAPP @t1576 @t52) @t56)) % 6.41/6.68 (define @t1578 () (tptp.c_COMBC @t55 @t55 @t55)) % 6.41/6.68 (define @t1579 () (tptp.tc_fun @t55 @t55)) % 6.41/6.68 (define @t1580 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t1579 @t8) (tptp.hAPP @t1578 @t309)) @t1577)) % 6.41/6.68 (define @t1581 () (tptp.hAPP @t937 @t51)) % 6.41/6.68 (define @t1582 () (tptp.c_COMBK @t74 @t8)) % 6.41/6.68 (define @t1583 () (tptp.hAPP (tptp.c_Set_Oimage @t8 @t74 (tptp.hAPP @t1582 @t18)) @t51)) % 6.41/6.68 (define @t1584 () (= @t1583 (tptp.hAPP (tptp.hAPP @t111 @t18) @t386))) % 6.41/6.68 (define @t1585 () (@list @t18 @t74 @t8 @t51)) % 6.41/6.68 (define @t1586 () (@list @t74 @t8)) % 6.41/6.68 (define @t1587 () (tptp.c_Map_Odom @t8 @t74 @t2)) % 6.41/6.68 (define @t1588 () (@list @t2 @t74 @t8)) % 6.41/6.68 (define @t1589 () (@list @t8 @t74)) % 6.41/6.68 (define @t1590 () (@list @t163 @t152 @t1567)) % 6.41/6.68 (define @t1591 () (@var "B_v" $$unsorted)) % 6.41/6.68 (define @t1592 () (@list @t1591)) % 6.41/6.68 (define @t1593 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t2)) % 6.41/6.68 (define @t1594 () (@var "V_q" $$unsorted)) % 6.41/6.68 (define @t1595 () (tptp.hAPP @t1380 @t1594)) % 6.41/6.68 (define @t1596 () (tptp.hBOOL (tptp.hAPP @t1493 @t1232))) % 6.41/6.68 (define @t1597 () (tptp.hAPP @t1402 @t348)) % 6.41/6.68 (define @t1598 () (tptp.hAPP @t1597 @t1594)) % 6.41/6.68 (define @t1599 () (= @t348 (tptp.hAPP (tptp.hAPP @t1394 @t1232) @t1598))) % 6.41/6.68 (define @t1600 () (tptp.hBOOL (tptp.hAPP @t1481 @t348))) % 6.41/6.68 (define @t1601 () (@list @t1594 @t1232 @t348)) % 6.41/6.68 (define @t1602 () (tptp.hAPP @t1385 @t1232)) % 6.41/6.68 (define @t1603 () (@var "V_q_H" $$unsorted)) % 6.41/6.68 (define @t1604 () (@var "V_b_H" $$unsorted)) % 6.41/6.68 (define @t1605 () (tptp.hBOOL (tptp.hAPP @t1481 @t1604))) % 6.41/6.68 (define @t1606 () (@var "V_r_H" $$unsorted)) % 6.41/6.68 (define @t1607 () (tptp.hAPP @t1385 @t1606)) % 6.41/6.68 (define @t1608 () (tptp.hBOOL (tptp.hAPP @t1607 @t1604))) % 6.41/6.68 (define @t1609 () (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP (tptp.hAPP @t1402 @t1604) @t1603)) @t1606)) % 6.41/6.68 (define @t1610 () (tptp.hBOOL (tptp.hAPP @t1493 @t1609))) % 6.41/6.68 (define @t1611 () (@list @t1606 @t1603 @t1604)) % 6.41/6.68 (define @t1612 () (tptp.hAPP @t1380 @t1603)) % 6.41/6.68 (define @t1613 () (tptp.hBOOL (tptp.hAPP @t1493 @t1606))) % 6.41/6.68 (define @t1614 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1609) @t1480))) % 6.41/6.68 (define @t1615 () (tptp.hBOOL (tptp.hAPP @t1612 @t1594))) % 6.41/6.68 (define @t1616 () (tptp.hBOOL (tptp.hAPP @t1602 @t39))) % 6.41/6.68 (define @t1617 () (tptp.hAPP @t1402 @t39)) % 6.41/6.68 (define @t1618 () (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1617 @t1594)) @t1232)) % 6.41/6.68 (define @t1619 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1617 @t1603)) @t1606)) @t1618))) % 6.41/6.68 (define @t1620 () (@list @t1232 @t1594 @t1606 @t1603 @t39)) % 6.41/6.68 (define @t1621 () (tptp.hBOOL (tptp.hAPP @t1595 @t1603))) % 6.41/6.68 (define @t1622 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t1604) @t39))) % 6.41/6.68 (define @t1623 () (= @t1618 @t1609)) % 6.41/6.68 (define @t1624 () (@list @t1606 @t1603 @t1604 @t1232 @t1594 @t39)) % 6.41/6.68 (define @t1625 () (tptp.hAPP @t1385 @t39)) % 6.41/6.68 (define @t1626 () (tptp.hBOOL (tptp.hAPP @t1625 @t1232))) % 6.41/6.68 (define @t1627 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t1232) @t1480))) % 6.41/6.68 (define @t1628 () (tptp.hAPP (tptp.hAPP @t1402 @t95) @t284)) % 6.41/6.68 (define @t1629 () (tptp.hBOOL (tptp.hAPP @t1493 @t284))) % 6.41/6.68 (define @t1630 () (tptp.hBOOL (tptp.hAPP @t1493 @t95))) % 6.41/6.68 (define @t1631 () (tptp.hAPP @t1519 @t284)) % 6.41/6.68 (define @t1632 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t1633 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1632 tptp.tc_Com_Ostate)) % 6.41/6.68 (define @t1634 () (tptp.hAPP @t1633 tptp.c_fimplies)) % 6.41/6.68 (define @t1635 () (tptp.tc_fun tptp.tc_Com_Ostate @t1632)) % 6.41/6.68 (define @t1636 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t1637 () (tptp.hAPP (tptp.c_COMBB @t1636 @t1635 tptp.tc_Com_Ostate) @t1634)) % 6.41/6.68 (define @t1638 () (tptp.c_COMBS tptp.tc_Com_Ostate tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t1639 () (tptp.tc_fun @t1636 @t1636)) % 6.41/6.68 (define @t1640 () (tptp.hAPP (tptp.c_COMBB @t1635 @t1639 tptp.tc_Com_Ostate) @t1638)) % 6.41/6.68 (define @t1641 () (tptp.c_COMBC tptp.tc_Com_Ostate @t1636 @t1636)) % 6.41/6.68 (define @t1642 () (tptp.tc_fun tptp.tc_Com_Ostate @t1636)) % 6.41/6.68 (define @t1643 () (tptp.c_HOL_OAll tptp.tc_Com_Ostate)) % 6.41/6.68 (define @t1644 () (tptp.hAPP (tptp.c_COMBB @t1636 tptp.tc_HOL_Obool tptp.tc_Com_Ostate) @t1643)) % 6.41/6.68 (define @t1645 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t12 (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t146 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1642 @t1636 tptp.tc_Com_Ostate) @t1644) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1636 @t1642 tptp.tc_Com_Ostate) (tptp.hAPP @t1641 (tptp.hAPP @t1640 (tptp.hAPP @t1637 @t431)))) tptp.c_fequal))) @t18) tptp.c_fequal)) @t17))) % 6.41/6.68 (define @t1646 () (@var "V_Procs_2" $$unsorted)) % 6.41/6.68 (define @t1647 () (tptp.hAPP @t1454 @t1646)) % 6.41/6.68 (define @t1648 () (tptp.tc_fun @t8 @t1636)) % 6.41/6.68 (define @t1649 () (tptp.tc_fun @t1648 @t9)) % 6.41/6.68 (define @t1650 () (tptp.hAPP (tptp.c_COMBS tptp.tc_Com_Opname tptp.tc_Com_Ocom @t1649) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1648 (tptp.tc_fun tptp.tc_Com_Ocom @t1649) tptp.tc_Com_Opname) @t118) @t117))) % 6.41/6.68 (define @t1651 () (tptp.c_COMBS tptp.tc_Com_Opname @t1648 @t9)) % 6.41/6.68 (define @t1652 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t9 (tptp.hAPP (tptp.hAPP @t1651 (tptp.hAPP @t1650 @t1455)) @t116)) @t1646)) % 6.41/6.68 (define @t1653 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t9 (tptp.hAPP (tptp.hAPP @t1651 (tptp.hAPP @t1650 tptp.c_Com_Ocom_OBODY)) @t116)) @t1646)) % 6.41/6.68 (define @t1654 () (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t10) @t12) @t1653)) % 6.41/6.68 (define @t1655 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t1654 @t1652)) % 6.41/6.68 (define @t1656 () (tptp.c_Finite__Set_Ofold @t8 @t74 @t2)) % 6.41/6.68 (define @t1657 () (tptp.hAPP @t1656 @t261)) % 6.41/6.68 (define @t1658 () (tptp.hAPP @t115 (tptp.hAPP @t1657 @t356))) % 6.41/6.68 (define @t1659 () (tptp.hAPP @t1657 @t51)) % 6.41/6.68 (define @t1660 () (tptp.c_Finite__Set_Ofun__left__comm @t8 @t74 @t2)) % 6.41/6.68 (define @t1661 () (@list @t261 @t73 @t51 @t2 @t74 @t8)) % 6.41/6.68 (define @t1662 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t55)) % 6.41/6.68 (define @t1663 () (tptp.hAPP @t1662 @t51)) % 6.41/6.68 (define @t1664 () (tptp.hAPP @t1663 @t289)) % 6.41/6.68 (define @t1665 () (tptp.hBOOL (tptp.hAPP @t290 @t1664))) % 6.41/6.68 (define @t1666 () (@list @t51 @t289 @t18 @t8)) % 6.41/6.68 (define @t1667 () (tptp.hBOOL (tptp.hAPP @t137 @t289))) % 6.41/6.68 (define @t1668 () (tptp.hBOOL (tptp.hAPP @t137 @t1664))) % 6.41/6.68 (define @t1669 () (@list @t117 @t289 @t51 @t8)) % 6.41/6.68 (define @t1670 () (tptp.hAPP @t1662 @t289)) % 6.41/6.68 (define @t1671 () (tptp.hAPP @t1670 @t721)) % 6.41/6.68 (define @t1672 () (tptp.hAPP @t1663 @t1671)) % 6.41/6.68 (define @t1673 () (tptp.hAPP @t1663 @t721)) % 6.41/6.68 (define @t1674 () (tptp.hAPP @t1670 @t51)) % 6.41/6.68 (define @t1675 () (tptp.hAPP @t115 @t261)) % 6.41/6.68 (define @t1676 () (tptp.hAPP @t2 @t100)) % 6.41/6.68 (define @t1677 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8)) % 6.41/6.68 (define @t1678 () (tptp.class_Lattices_Olattice @t8)) % 6.41/6.68 (define @t1679 () (@list @t73 @t1 @t2 @t74 @t8)) % 6.41/6.68 (define @t1680 () (tptp.hAPP @t1677 @t284)) % 6.41/6.68 (define @t1681 () (tptp.hAPP @t1680 @t513)) % 6.41/6.68 (define @t1682 () (tptp.hAPP @t1677 @t95)) % 6.41/6.68 (define @t1683 () (tptp.hAPP @t1682 @t1681)) % 6.41/6.68 (define @t1684 () (tptp.hAPP @t1682 @t284)) % 6.41/6.68 (define @t1685 () (= (tptp.hAPP (tptp.hAPP @t1677 @t1684) @t513) @t1683)) % 6.41/6.68 (define @t1686 () (tptp.class_Lattices_Osemilattice__sup @t8)) % 6.41/6.68 (define @t1687 () (tptp.hAPP @t1677 @t39)) % 6.41/6.68 (define @t1688 () (tptp.hAPP @t1677 @t348)) % 6.41/6.68 (define @t1689 () (tptp.hAPP @t1688 (tptp.hAPP @t1687 @t333))) % 6.41/6.68 (define @t1690 () (tptp.hAPP @t1688 @t39)) % 6.41/6.68 (define @t1691 () (tptp.hAPP @t1682 @t513)) % 6.41/6.68 (define @t1692 () (= @t1683 (tptp.hAPP @t1680 @t1691))) % 6.41/6.68 (define @t1693 () (= (tptp.hAPP @t1682 @t1684) @t1684)) % 6.41/6.68 (define @t1694 () (tptp.hAPP @t1680 @t95)) % 6.41/6.68 (define @t1695 () (= @t1684 @t1694)) % 6.41/6.68 (define @t1696 () (= (tptp.hAPP @t1682 @t95) @t95)) % 6.41/6.68 (define @t1697 () (tptp.tc_fun @t74 @t74)) % 6.41/6.68 (define @t1698 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t1697 @t210) @t2) @t1)) % 6.41/6.68 (define @t1699 () (@list @t1 @t210 @t2 @t74 @t8)) % 6.41/6.68 (define @t1700 () (tptp.hBOOL (tptp.hAPP @t832 @t95))) % 6.41/6.68 (define @t1701 () (tptp.hBOOL (tptp.hAPP @t787 @t95))) % 6.41/6.68 (define @t1702 () (not (=> @t1701 (not @t1700)))) % 6.41/6.68 (define @t1703 () (tptp.hAPP @t777 @t1690)) % 6.41/6.68 (define @t1704 () (tptp.hBOOL (tptp.hAPP @t1703 @t95))) % 6.41/6.68 (define @t1705 () (@list @t95 @t39 @t348 @t8)) % 6.41/6.68 (define @t1706 () (tptp.hBOOL (tptp.hAPP @t832 @t715))) % 6.41/6.68 (define @t1707 () (@list @t715 @t39 @t333 @t348 @t8)) % 6.41/6.68 (define @t1708 () (@list @t39 @t95 @t348 @t8)) % 6.41/6.68 (define @t1709 () (tptp.hBOOL (tptp.hAPP @t778 @t1690))) % 6.41/6.68 (define @t1710 () (tptp.hBOOL (tptp.hAPP @t778 @t39))) % 6.41/6.68 (define @t1711 () (@list @t348 @t39 @t95 @t8)) % 6.41/6.68 (define @t1712 () (@list @t39 @t348 @t95 @t8)) % 6.41/6.68 (define @t1713 () (tptp.hBOOL (tptp.hAPP @t841 @t261))) % 6.41/6.68 (define @t1714 () (tptp.hBOOL (tptp.hAPP @t838 @t261))) % 6.41/6.68 (define @t1715 () (and @t1714 @t1713)) % 6.41/6.68 (define @t1716 () (tptp.hAPP @t1677 @t73)) % 6.41/6.68 (define @t1717 () (tptp.hAPP @t1716 @t100)) % 6.41/6.68 (define @t1718 () (@list @t261 @t100 @t73 @t8)) % 6.41/6.68 (define @t1719 () (tptp.hBOOL (tptp.hAPP @t815 @t1684))) % 6.41/6.68 (define @t1720 () (tptp.hBOOL (tptp.hAPP @t778 @t1684))) % 6.41/6.68 (define @t1721 () (tptp.hBOOL (tptp.hAPP @t477 @t1690))) % 6.41/6.68 (define @t1722 () (tptp.hBOOL (tptp.hAPP @t477 @t39))) % 6.41/6.68 (define @t1723 () (tptp.class_Lattices_Obounded__lattice__bot @t8)) % 6.41/6.68 (define @t1724 () (@list @t289 @t8)) % 6.41/6.68 (define @t1725 () (tptp.hBOOL (tptp.hAPP @t182 @t12))) % 6.41/6.68 (define @t1726 () (tptp.hBOOL (tptp.hAPP @t182 (tptp.hAPP (tptp.hAPP @t1662 @t244) @t12)))) % 6.41/6.68 (define @t1727 () (@list @t12 @t244 @t8)) % 6.41/6.68 (define @t1728 () (tptp.hAPP @t1662 @t721)) % 6.41/6.68 (define @t1729 () (tptp.hAPP @t744 @t1664)) % 6.41/6.68 (define @t1730 () (tptp.hBOOL (tptp.hAPP @t779 @t454))) % 6.41/6.68 (define @t1731 () (@list @t454 @t289 @t721 @t51 @t8)) % 6.41/6.68 (define @t1732 () (@list @t289 @t721 @t51 @t8)) % 6.41/6.68 (define @t1733 () (= @t1664 @t289)) % 6.41/6.68 (define @t1734 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t273)) % 6.41/6.68 (define @t1735 () (tptp.hAPP @t1734 @t51)) % 6.41/6.68 (define @t1736 () (tptp.hAPP @t1735 @t289)) % 6.41/6.68 (define @t1737 () (@list @t289 @t51 @t2 @t8 @t74)) % 6.41/6.68 (define @t1738 () (tptp.hAPP @t937 @t721)) % 6.41/6.68 (define @t1739 () (tptp.hAPP @t310 @t721)) % 6.41/6.68 (define @t1740 () (tptp.hAPP @t1663 @t1581)) % 6.41/6.68 (define @t1741 () (tptp.tc_fun tptp.tc_Com_Ostate @t1635)) % 6.41/6.68 (define @t1742 () (tptp.tc_fun tptp.tc_Com_Ostate @t1639)) % 6.41/6.68 (define @t1743 () (tptp.tc_fun @t1636 @t1642)) % 6.41/6.68 (define @t1744 () (tptp.tc_fun @t8 @t1642)) % 6.41/6.68 (define @t1745 () (tptp.tc_fun @t1648 @t1744)) % 6.41/6.68 (define @t1746 () (tptp.tc_fun @t1648 @t1648)) % 6.41/6.68 (define @t1747 () (tptp.c_COMBB @t1636 @t1635 @t8)) % 6.41/6.68 (define @t1748 () (tptp.hAPP (tptp.c_COMBB @t1635 @t1639 @t8) @t1638)) % 6.41/6.68 (define @t1749 () (tptp.tc_fun @t8 @t1639)) % 6.41/6.68 (define @t1750 () (tptp.tc_fun @t1746 @t1746)) % 6.41/6.68 (define @t1751 () (tptp.tc_fun tptp.tc_Com_Ocom @t1746)) % 6.41/6.68 (define @t1752 () (tptp.tc_fun @t1648 @t55)) % 6.41/6.68 (define @t1753 () (tptp.tc_fun tptp.tc_Com_Ocom @t1752)) % 6.41/6.68 (define @t1754 () (tptp.c_HOL_OAll @t8)) % 6.41/6.68 (define @t1755 () (tptp.tc_fun @t1648 tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t1756 () (tptp.hAPP @t1662 @t781)) % 6.41/6.68 (define @t1757 () (tptp.hAPP (tptp.hAPP @t2 @t245) @t995)) % 6.41/6.68 (define @t1758 () (tptp.hAPP @t244 @t1736)) % 6.41/6.68 (define @t1759 () (= @t1758 @t1757)) % 6.41/6.68 (define @t1760 () (tptp.hAPP (tptp.hAPP @t1656 @t1675) @t51)) % 6.41/6.68 (define @t1761 () (tptp.hAPP @t115 @t1659)) % 6.41/6.68 (define @t1762 () (tptp.hAPP @t244 @t1664)) % 6.41/6.68 (define @t1763 () (= @t1762 @t1757)) % 6.41/6.68 (define @t1764 () (= (tptp.hAPP @t1076 @t1664) (tptp.hAPP (tptp.hAPP @t754 @t1077) (tptp.hAPP @t1076 @t289)))) % 6.41/6.68 (define @t1765 () (tptp.hAPP @t1657 @t104)) % 6.41/6.68 (define @t1766 () (= @t1765 @t1760)) % 6.41/6.68 (define @t1767 () (= @t1765 @t1761)) % 6.41/6.68 (define @t1768 () (@list @t1646 @t116 @t117 @t12 @t8)) % 6.41/6.68 (define @t1769 () (@list @t73 @t261 @t51 @t2 @t74 @t8)) % 6.41/6.68 (define @t1770 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t1677)) % 6.41/6.68 (define @t1771 () (tptp.hAPP @t1770 @t58)) % 6.41/6.68 (define @t1772 () (tptp.hAPP @t1771 @t51)) % 6.41/6.68 (define @t1773 () (tptp.hAPP @t1677 @t13)) % 6.41/6.68 (define @t1774 () (tptp.hAPP @t1773 @t58)) % 6.41/6.68 (define @t1775 () (@list @t58 @t13 @t51 @t8)) % 6.41/6.68 (define @t1776 () (@list @t13 @t58 @t51 @t8)) % 6.41/6.68 (define @t1777 () (tptp.hBOOL @t391)) % 6.41/6.68 (define @t1778 () (tptp.hBOOL (tptp.hAPP @t1664 @t73))) % 6.41/6.68 (define @t1779 () (not @t1777)) % 6.41/6.68 (define @t1780 () (@var "V_U_2" $$unsorted)) % 6.41/6.68 (define @t1781 () (tptp.tc_Hoare__Mirabelle_Otriple @t74)) % 6.41/6.68 (define @t1782 () (tptp.tc_fun @t74 @t1636)) % 6.41/6.68 (define @t1783 () (tptp.tc_fun @t1782 @t1781)) % 6.41/6.68 (define @t1784 () (tptp.hAPP (tptp.c_COMBB @t1782 (tptp.tc_fun tptp.tc_Com_Ocom @t1783) @t8) @t187)) % 6.41/6.68 (define @t1785 () (tptp.c_COMBS @t8 tptp.tc_Com_Ocom @t1783)) % 6.41/6.68 (define @t1786 () (tptp.c_COMBS @t8 @t1782 @t1781)) % 6.41/6.68 (define @t1787 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t1781 tptp.tc_HOL_Obool))) % 6.41/6.68 (define @t1788 () (@var "B_p" $$unsorted)) % 6.41/6.68 (define @t1789 () (tptp.hAPP @t1360 @t1788)) % 6.41/6.68 (define @t1790 () (tptp.c_Set_Oinsert @t1781)) % 6.41/6.68 (define @t1791 () (@var "V_S_2" $$unsorted)) % 6.41/6.68 (define @t1792 () (tptp.hAPP (tptp.c_COMBC @t8 @t55 tptp.tc_HOL_Obool) @t136)) % 6.41/6.68 (define @t1793 () (tptp.hAPP @t1792 @t1791)) % 6.41/6.68 (define @t1794 () (tptp.hAPP @t1792 @t201)) % 6.41/6.68 (define @t1795 () (@list @t73 @t1791 @t201 @t8)) % 6.41/6.68 (define @t1796 () (@list @t1791 @t201 @t8)) % 6.41/6.68 (define @t1797 () (tptp.hAPP tptp.c_fequal @t100)) % 6.41/6.68 (define @t1798 () (tptp.hAPP @t116 @t73)) % 6.41/6.68 (define @t1799 () (tptp.hBOOL @t1798)) % 6.41/6.68 (define @t1800 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t117) @t116))) % 6.41/6.68 (define @t1801 () (= @t201 @t1791)) % 6.41/6.68 (define @t1802 () (@var "B_y_H" $$unsorted)) % 6.41/6.68 (define @t1803 () (tptp.hAPP @t1354 (tptp.c_Int_Osucc @t1079))) % 6.41/6.68 (define @t1804 () (tptp.hAPP @t553 @t1355)) % 6.41/6.68 (define @t1805 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1804 @t336))) % 6.41/6.68 (define @t1806 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1464))) % 6.41/6.68 (define @t1807 () (not @t1806)) % 6.41/6.68 (define @t1808 () (@list @t336 @t1079)) % 6.41/6.68 (define @t1809 () (tptp.c_Nat__Transfer_Otsub @t95 @t284)) % 6.41/6.68 (define @t1810 () (tptp.hAPP @t1380 @t284)) % 6.41/6.68 (define @t1811 () (tptp.hBOOL (tptp.hAPP @t1810 @t95))) % 6.41/6.68 (define @t1812 () (tptp.hAPP @t1408 @t95)) % 6.41/6.68 (define @t1813 () (tptp.hAPP @t1812 @t284)) % 6.41/6.68 (define @t1814 () (=> @t1811 (= @t1809 @t1813))) % 6.41/6.68 (define @t1815 () (@list @t95 @t284)) % 6.41/6.68 (define @t1816 () (tptp.hAPP @t1716 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t356))) % 6.41/6.68 (define @t1817 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t51)) % 6.41/6.68 (define @t1818 () (tptp.hAPP @t1354 (tptp.c_Int_Opred @t1079))) % 6.41/6.68 (define @t1819 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t1079) tptp.c_Int_OPls))) % 6.41/6.68 (define @t1820 () (tptp.hAPP @t1462 tptp.c_Int_OPls)) % 6.41/6.68 (define @t1821 () (tptp.hAPP @t1380 tptp.c_Int_OPls)) % 6.41/6.68 (define @t1822 () (tptp.hAPP @t1385 tptp.c_Int_OPls)) % 6.41/6.68 (define @t1823 () (tptp.hAPP @t1394 tptp.c_Int_OPls)) % 6.41/6.68 (define @t1824 () (tptp.hAPP @t1409 tptp.c_Int_OPls)) % 6.41/6.68 (define @t1825 () (tptp.hAPP @t1372 tptp.c_Int_OPls)) % 6.41/6.68 (define @t1826 () (tptp.hAPP @t1354 tptp.c_Int_OPls)) % 6.41/6.68 (define @t1827 () (tptp.hBOOL (tptp.hAPP @t1493 @t73))) % 6.41/6.68 (define @t1828 () (@list @t73)) % 6.41/6.68 (define @t1829 () (@var "V_Z_2" $$unsorted)) % 6.41/6.68 (define @t1830 () (tptp.hAPP @t1380 @t240)) % 6.41/6.68 (define @t1831 () (tptp.hBOOL (tptp.hAPP @t1830 tptp.c_Int_OPls))) % 6.41/6.68 (define @t1832 () (tptp.hAPP @t1354 @t240)) % 6.41/6.68 (define @t1833 () (@list @t240)) % 6.41/6.68 (define @t1834 () (= @t1832 @t1074)) % 6.41/6.68 (define @t1835 () (@var "V_v_H_2" $$unsorted)) % 6.41/6.68 (define @t1836 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t240) @t1835))) % 6.41/6.68 (define @t1837 () (tptp.hAPP @t1354 @t1835)) % 6.41/6.68 (define @t1838 () (tptp.hAPP @t472 @t1832)) % 6.41/6.68 (define @t1839 () (@list @t1835 @t240)) % 6.41/6.68 (define @t1840 () (tptp.hAPP @t753 @t1832)) % 6.41/6.68 (define @t1841 () (tptp.hAPP @t1716 @t1817)) % 6.41/6.68 (define @t1842 () (= @t1355 @t1074)) % 6.41/6.68 (define @t1843 () (@list @t100 @t8)) % 6.41/6.68 (define @t1844 () (@var "V_v_H" $$unsorted)) % 6.41/6.68 (define @t1845 () (tptp.hAPP @t1354 (tptp.hAPP @t1395 @t1844))) % 6.41/6.68 (define @t1846 () (tptp.hAPP @t1354 @t1844)) % 6.41/6.68 (define @t1847 () (tptp.hAPP @t1804 @t1846)) % 6.41/6.68 (define @t1848 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1844) tptp.c_Int_OPls))) % 6.41/6.68 (define @t1849 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1079) tptp.c_Int_OPls))) % 6.41/6.68 (define @t1850 () (not @t1849)) % 6.41/6.68 (define @t1851 () (@list @t1844 @t1079)) % 6.41/6.68 (define @t1852 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t104)) % 6.41/6.68 (define @t1853 () (=> @t249 (= @t1852 @t1841))) % 6.41/6.68 (define @t1854 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t289)) % 6.41/6.68 (define @t1855 () (tptp.hAPP (tptp.hAPP @t1677 @t1817) @t1854)) % 6.41/6.68 (define @t1856 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t1664)) % 6.41/6.68 (define @t1857 () (= @t1856 @t1855)) % 6.41/6.68 (define @t1858 () (tptp.hAPP @t1462 @t1835)) % 6.41/6.68 (define @t1859 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1858))) % 6.41/6.68 (define @t1860 () (tptp.hAPP @t1462 @t240)) % 6.41/6.68 (define @t1861 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1860))) % 6.41/6.68 (define @t1862 () (tptp.hAPP (tptp.hAPP @t553 @t1846) @t561)) % 6.41/6.68 (define @t1863 () (tptp.hAPP @t1804 @t1862)) % 6.41/6.68 (define @t1864 () (tptp.hAPP @t1462 @t1844)) % 6.41/6.68 (define @t1865 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1864))) % 6.41/6.68 (define @t1866 () (not @t1865)) % 6.41/6.68 (define @t1867 () (@list @t561 @t1844 @t1079)) % 6.41/6.68 (define @t1868 () (tptp.hAPP @t1462 (tptp.c_Int_Opred @t240))) % 6.41/6.68 (define @t1869 () (tptp.hAPP @t1354 (tptp.hAPP @t1403 @t1844))) % 6.41/6.68 (define @t1870 () (tptp.hAPP @t855 @t1355)) % 6.41/6.68 (define @t1871 () (tptp.hAPP @t1870 @t1846)) % 6.41/6.68 (define @t1872 () (tptp.hAPP @t1870 (tptp.hAPP (tptp.hAPP @t855 @t1846) @t561))) % 6.41/6.68 (define @t1873 () (tptp.hAPP @t554 @t1355)) % 6.41/6.68 (define @t1874 () (tptp.hAPP @t1804 @t467)) % 6.41/6.68 (define @t1875 () (tptp.hAPP tptp.c_Nat_OSuc @t1355)) % 6.41/6.68 (define @t1876 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t1877 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t1876) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t1876) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 6.41/6.68 (define @t1878 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t1879 () (tptp.hAPP @t1878 (tptp.hAPP @t1877 @t1074))) % 6.41/6.68 (define @t1880 () (tptp.hAPP @t1879 tptp.c_Int_Onat)) % 6.41/6.68 (define @t1881 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t1882 () (tptp.hAPP (tptp.hAPP @t468 @t1832) @t1837)) % 6.41/6.68 (define @t1883 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1835) tptp.c_Int_OPls))) % 6.41/6.68 (define @t1884 () (tptp.hAPP @t1409 @t100)) % 6.41/6.68 (define @t1885 () (tptp.hAPP @t1394 @t73)) % 6.41/6.68 (define @t1886 () (tptp.hAPP (tptp.hAPP @t1677 @t3) @t43)) % 6.41/6.68 (define @t1887 () (tptp.hAPP @t2 @t638)) % 6.41/6.68 (define @t1888 () (tptp.tc_List_Olist tptp.tc_Code__Evaluation_Oterm)) % 6.41/6.68 (define @t1889 () (tptp.hAPP (tptp.hAPP @t1394 @t638) @t1477)) % 6.41/6.68 (define @t1890 () (tptp.tc_Option_Ooption @t1888)) % 6.41/6.68 (define @t1891 () (tptp.c_Smallcheck_Osmall_H @t2 @t60 @t638)) % 6.41/6.68 (define @t1892 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t60) @t638))) % 6.41/6.68 (define @t1893 () (not @t1892)) % 6.41/6.68 (define @t1894 () (tptp.c_Option_Ooption_ONone @t1888)) % 6.41/6.68 (define @t1895 () (and (=> @t1892 (= @t1891 @t1894)) (=> @t1893 (= @t1891 (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t1890 @t1888 (tptp.c_Smallcheck_Osmall_H @t2 @t60 @t1889) (tptp.c_Option_Ooption_OSome @t1888)) @t1887))))) % 6.41/6.68 (define @t1896 () (tptp.c_Nat_Osemiring__1__class_ONats @t8)) % 6.41/6.68 (define @t1897 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t1898 () (tptp.c_Orderings_Obot__class_Obot @t1897)) % 6.41/6.68 (define @t1899 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 6.41/6.68 (define @t1900 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t1901 () (tptp.c_Orderings_Obot__class_Obot @t1900)) % 6.41/6.68 (define @t1902 () (= @t261 @t1082)) % 6.41/6.68 (define @t1903 () (tptp.class_Rings_Osemiring__1 @t8)) % 6.41/6.68 (define @t1904 () (@list @t261 @t8)) % 6.41/6.68 (define @t1905 () (tptp.hAPP tptp.c_Int_Onat @t1480)) % 6.41/6.68 (define @t1906 () (@var "V_z_H_2" $$unsorted)) % 6.41/6.68 (define @t1907 () (tptp.hAPP tptp.c_Int_Onat @t1906)) % 6.41/6.68 (define @t1908 () (tptp.hAPP tptp.c_Int_Onat @t261)) % 6.41/6.68 (define @t1909 () (tptp.hBOOL (tptp.hAPP @t1493 @t261))) % 6.41/6.68 (define @t1910 () (tptp.hAPP tptp.c_Int_Onat @t100)) % 6.41/6.68 (define @t1911 () (tptp.hAPP tptp.c_Int_Onat @t73)) % 6.41/6.68 (define @t1912 () (tptp.hBOOL (tptp.hAPP @t1493 @t100))) % 6.41/6.68 (define @t1913 () (@list @t100 @t73)) % 6.41/6.68 (define @t1914 () (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 6.41/6.68 (define @t1915 () (tptp.hBOOL (tptp.hAPP @t1493 @t3))) % 6.41/6.68 (define @t1916 () (@var "B_x1" $$unsorted)) % 6.41/6.68 (define @t1917 () (tptp.hBOOL (tptp.hAPP @t117 @t1916))) % 6.41/6.68 (define @t1918 () (@list @t1916)) % 6.41/6.68 (define @t1919 () (forall @t1918 @t1917)) % 6.41/6.68 (define @t1920 () (@list @t117)) % 6.41/6.68 (define @t1921 () (exists @t1918 @t1917)) % 6.41/6.68 (define @t1922 () (tptp.hAPP @t1354 @t1389)) % 6.41/6.68 (define @t1923 () (tptp.hAPP tptp.c_Int_Onat @t1477)) % 6.41/6.68 (define @t1924 () (tptp.hAPP tptp.c_Int_Onat @t513)) % 6.41/6.68 (define @t1925 () (= @t1924 @t1074)) % 6.41/6.68 (define @t1926 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t513))) % 6.41/6.68 (define @t1927 () (tptp.hAPP @t1380 @t638)) % 6.41/6.68 (define @t1928 () (tptp.hBOOL (tptp.hAPP @t1927 @t1480))) % 6.41/6.68 (define @t1929 () (tptp.hAPP tptp.c_Int_Onat @t638)) % 6.41/6.68 (define @t1930 () (@list @t638)) % 6.41/6.68 (define @t1931 () (tptp.hBOOL (tptp.hAPP @t1536 @t1480))) % 6.41/6.68 (define @t1932 () (tptp.hAPP tptp.c_Int_Onat @t1054)) % 6.41/6.68 (define @t1933 () (tptp.hAPP @t472 @t1932)) % 6.41/6.68 (define @t1934 () (tptp.hBOOL (tptp.hAPP @t1933 @t1908))) % 6.41/6.68 (define @t1935 () (= @t1934 @t1529)) % 6.41/6.68 (define @t1936 () (tptp.hBOOL (tptp.hAPP @t329 @t1896))) % 6.41/6.68 (define @t1937 () (tptp.hBOOL (tptp.hAPP @t298 @t1896))) % 6.41/6.68 (define @t1938 () (tptp.hBOOL (tptp.hAPP @t1493 @t1054))) % 6.41/6.68 (define @t1939 () (tptp.hAPP tptp.c_Int_Onat @t1559)) % 6.41/6.68 (define @t1940 () (tptp.hBOOL (tptp.hAPP @t1493 @t1559))) % 6.41/6.68 (define @t1941 () (@list @t1559 @t513)) % 6.41/6.68 (define @t1942 () (tptp.hAPP tptp.c_Int_Onat @t284)) % 6.41/6.68 (define @t1943 () (tptp.hAPP tptp.c_Int_Onat @t95)) % 6.41/6.68 (define @t1944 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1542 @t1559))) % 6.41/6.68 (define @t1945 () (tptp.hAPP (tptp.hAPP @t468 @t1908) @t1907)) % 6.41/6.68 (define @t1946 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1906))) % 6.41/6.68 (define @t1947 () (tptp.hAPP @t1385 @t1477)) % 6.41/6.68 (define @t1948 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1900 tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1949 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t1950 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1951 () (tptp.hAPP (tptp.hAPP @t1950 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 6.41/6.68 (define @t1952 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1632 tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1953 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t1954 () (tptp.hAPP @t1953 (tptp.hAPP (tptp.hAPP @t1952 tptp.c_fimplies) @t1951))) % 6.41/6.68 (define @t1955 () (tptp.hAPP @t1952 tptp.c_fconj)) % 6.41/6.68 (define @t1956 () (tptp.hAPP @t1953 (tptp.hAPP @t1955 @t1951))) % 6.41/6.68 (define @t1957 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t1868)) % 6.41/6.68 (define @t1958 () (tptp.hBOOL (tptp.hAPP @t1957 (tptp.hAPP @t1956 (tptp.hAPP @t1954 (tptp.hAPP (tptp.hAPP @t1949 (tptp.hAPP (tptp.hAPP @t1948 tptp.c_fequal) tptp.c_Int_Onat)) @t281)))))) % 6.41/6.68 (define @t1959 () (@list @t240 @t281)) % 6.41/6.68 (define @t1960 () (@list @t281 @t240)) % 6.41/6.68 (define @t1961 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1962 () (tptp.hAPP @t472 @t282)) % 6.41/6.68 (define @t1963 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1876 tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1964 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t1965 () (tptp.hAPP (tptp.hAPP @t1964 (tptp.hAPP (tptp.hAPP @t1963 @t553) tptp.c_Int_Onat)) @t281)) % 6.41/6.68 (define @t1966 () (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1967 () (tptp.hAPP @t1966 @t2)) % 6.41/6.68 (define @t1968 () (tptp.c_If @t8)) % 6.41/6.68 (define @t1969 () (tptp.tc_fun @t8 @t8)) % 6.41/6.68 (define @t1970 () (tptp.tc_fun @t8 @t1969)) % 6.41/6.68 (define @t1971 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1970 tptp.tc_Int_Oint) @t1968)) % 6.41/6.68 (define @t1972 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t8 @t1969) (tptp.hAPP @t1971 tptp.c_Nat__Numeral_Oneg))) % 6.41/6.68 (define @t1973 () (tptp.c_COMBS tptp.tc_Int_Oint @t8 @t8)) % 6.41/6.68 (define @t1974 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t8)) % 6.41/6.68 (define @t1975 () (tptp.hAPP @t1974 @t1868)) % 6.41/6.68 (define @t1976 () (tptp.hAPP (tptp.hAPP @t553 @t1832) @t281)) % 6.41/6.68 (define @t1977 () (@list @t281 @t240 @t2 @t13 @t8)) % 6.41/6.68 (define @t1978 () (tptp.hAPP @t1967 tptp.c_Int_Onat)) % 6.41/6.68 (define @t1979 () (tptp.hAPP @t1973 (tptp.hAPP @t1972 @t13))) % 6.41/6.68 (define @t1980 () (@list @t240 @t2 @t13 @t8)) % 6.41/6.68 (define @t1981 () (tptp.c_Nat_Onat_Onat__rec @t8 @t13 @t2)) % 6.41/6.68 (define @t1982 () (tptp.hAPP @t1966 @t1981)) % 6.41/6.68 (define @t1983 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1969 tptp.tc_Int_Oint) @t2)) % 6.41/6.68 (define @t1984 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t1985 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 6.41/6.68 (define @t1986 () (tptp.hAPP @t1985 tptp.c_Nat_OSuc)) % 6.41/6.68 (define @t1987 () (tptp.hAPP @t1881 @t1868)) % 6.41/6.68 (define @t1988 () (tptp.c_Orderings_Oord__class_Omin @t8)) % 6.41/6.68 (define @t1989 () (tptp.hAPP @t1988 @t95)) % 6.41/6.68 (define @t1990 () (tptp.hAPP @t1988 @t284)) % 6.41/6.68 (define @t1991 () (tptp.hAPP @t1990 @t513)) % 6.41/6.68 (define @t1992 () (tptp.hAPP @t1989 @t1991)) % 6.41/6.68 (define @t1993 () (tptp.hAPP @t1989 @t284)) % 6.41/6.68 (define @t1994 () (tptp.hAPP @t1988 @t39)) % 6.41/6.68 (define @t1995 () (tptp.hAPP @t1988 @t348)) % 6.41/6.68 (define @t1996 () (tptp.hAPP @t1995 (tptp.hAPP @t1994 @t333))) % 6.41/6.68 (define @t1997 () (tptp.hAPP @t1995 @t39)) % 6.41/6.68 (define @t1998 () (tptp.hAPP @t1989 @t513)) % 6.41/6.68 (define @t1999 () (tptp.hAPP @t1990 @t95)) % 6.41/6.68 (define @t2000 () (tptp.hAPP @t1988 @t73)) % 6.41/6.68 (define @t2001 () (tptp.hAPP @t2000 @t100)) % 6.41/6.68 (define @t2002 () (not (=> @t1296 (not @t1710)))) % 6.41/6.68 (define @t2003 () (tptp.hBOOL (tptp.hAPP @t778 @t1997))) % 6.41/6.68 (define @t2004 () (tptp.hAPP @t777 @t1997)) % 6.41/6.68 (define @t2005 () (tptp.hBOOL (tptp.hAPP @t2004 @t95))) % 6.41/6.68 (define @t2006 () (@list @t348 @t95 @t39 @t8)) % 6.41/6.68 (define @t2007 () (and @t839 @t1714)) % 6.41/6.68 (define @t2008 () (tptp.hAPP @t777 @t1993)) % 6.41/6.68 (define @t2009 () (tptp.hBOOL (tptp.hAPP @t479 @t261))) % 6.41/6.68 (define @t2010 () (tptp.hBOOL (tptp.hAPP @t481 @t261))) % 6.41/6.68 (define @t2011 () (tptp.hAPP @t476 @t261)) % 6.41/6.68 (define @t2012 () (tptp.hBOOL (tptp.hAPP @t2011 @t100))) % 6.41/6.68 (define @t2013 () (tptp.hBOOL (tptp.hAPP @t2011 @t73))) % 6.41/6.68 (define @t2014 () (@list @t100 @t73 @t261 @t8)) % 6.41/6.68 (define @t2015 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t1997) @t95))) % 6.41/6.68 (define @t2016 () (tptp.hBOOL (tptp.hAPP @t498 @t95))) % 6.41/6.68 (define @t2017 () (tptp.hBOOL (tptp.hAPP @t500 @t95))) % 6.41/6.68 (define @t2018 () (tptp.hAPP @t1027 @t513)) % 6.41/6.68 (define @t2019 () (tptp.hAPP (tptp.hAPP @t392 @t284) @t513)) % 6.41/6.68 (define @t2020 () (tptp.hAPP @t1028 @t513)) % 6.41/6.68 (define @t2021 () (tptp.hAPP @t1984 @t336)) % 6.41/6.68 (define @t2022 () (tptp.hAPP (tptp.hAPP @t1984 @t521) @t336)) % 6.41/6.68 (define @t2023 () (tptp.hAPP @t1984 @t281)) % 6.41/6.68 (define @t2024 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t2025 () (tptp.hAPP @t2024 tptp.c_Nat_OSuc)) % 6.41/6.68 (define @t2026 () (tptp.hAPP @t1984 @t282)) % 6.41/6.68 (define @t2027 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t2028 () (tptp.hAPP @t1428 @t332)) % 6.41/6.68 (define @t2029 () (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin @t74) @t2028) @t1429)) % 6.41/6.68 (define @t2030 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t818 @t2028) @t1429))) % 6.41/6.68 (define @t2031 () (not @t2030)) % 6.41/6.68 (define @t2032 () (and @t1434 @t822)) % 6.41/6.68 (define @t2033 () (@list @t1079 @t332 @t74)) % 6.41/6.68 (define @t2034 () (tptp.c_Nat_Onat_Onat__rec @t8 @t129 @t125)) % 6.41/6.68 (define @t2035 () (@list @t125 @t129 @t8)) % 6.41/6.68 (define @t2036 () (tptp.hAPP @t125 @t652)) % 6.41/6.68 (define @t2037 () (@list @t652 @t125 @t129 @t8)) % 6.41/6.68 (define @t2038 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t1988)) % 6.41/6.68 (define @t2039 () (tptp.hAPP @t2038 @t58)) % 6.41/6.68 (define @t2040 () (tptp.hAPP @t2039 @t51)) % 6.41/6.68 (define @t2041 () (tptp.hAPP @t1988 @t13)) % 6.41/6.68 (define @t2042 () (tptp.c_Finite__Set_Ofold1 @t8 @t1988)) % 6.41/6.68 (define @t2043 () (tptp.hAPP @t2042 @t51)) % 6.41/6.68 (define @t2044 () (tptp.hAPP @t777 @t2043)) % 6.41/6.68 (define @t2045 () (tptp.hBOOL (tptp.hAPP @t838 @t3))) % 6.41/6.68 (define @t2046 () (forall @t7 (=> @t363 @t2045))) % 6.41/6.68 (define @t2047 () (tptp.hAPP @t777 @t3)) % 6.41/6.68 (define @t2048 () (tptp.hAPP @t476 @t3)) % 6.41/6.68 (define @t2049 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t2050 () (tptp.c_COMBC @t8 @t8 tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t2051 () (tptp.hAPP @t2050 @t777)) % 6.41/6.68 (define @t2052 () (tptp.hAPP @t2000 (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t356))) % 6.41/6.68 (define @t2053 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t51)) % 6.41/6.68 (define @t2054 () (= @t2053 @t73)) % 6.41/6.68 (define @t2055 () (tptp.hAPP @t2000 (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 @t356))) % 6.41/6.68 (define @t2056 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 @t51)) % 6.41/6.68 (define @t2057 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t2058 () (tptp.hAPP @t1878 (tptp.hAPP @t1877 @t282))) % 6.41/6.68 (define @t2059 () (tptp.hAPP @t2057 @t281)) % 6.41/6.68 (define @t2060 () (tptp.hAPP @t2057 @t282)) % 6.41/6.68 (define @t2061 () (tptp.hAPP @t1402 @t205)) % 6.41/6.68 (define @t2062 () (tptp.hAPP @t2061 @t60)) % 6.41/6.68 (define @t2063 () (tptp.hAPP @t1408 @t3)) % 6.41/6.68 (define @t2064 () (tptp.hAPP @t1493 @t205)) % 6.41/6.68 (define @t2065 () (tptp.hBOOL @t2064)) % 6.41/6.68 (define @t2066 () (tptp.hAPP @t1481 @t60)) % 6.41/6.68 (define @t2067 () (tptp.hBOOL @t2066)) % 6.41/6.68 (define @t2068 () (@list @t205 @t117 @t60)) % 6.41/6.68 (define @t2069 () (tptp.c_Orderings_Oord__class_Omax @t8)) % 6.41/6.68 (define @t2070 () (tptp.hAPP @t2069 @t348)) % 6.41/6.68 (define @t2071 () (tptp.hAPP @t2069 @t39)) % 6.41/6.68 (define @t2072 () (tptp.hAPP @t2070 @t39)) % 6.41/6.68 (define @t2073 () (tptp.hAPP @t2069 @t284)) % 6.41/6.68 (define @t2074 () (tptp.hAPP @t2073 @t95)) % 6.41/6.68 (define @t2075 () (tptp.hAPP @t2069 @t95)) % 6.41/6.68 (define @t2076 () (tptp.hAPP @t2075 @t284)) % 6.41/6.68 (define @t2077 () (tptp.hAPP @t2070 (tptp.hAPP @t2071 @t333))) % 6.41/6.68 (define @t2078 () (tptp.hAPP @t2075 @t513)) % 6.41/6.68 (define @t2079 () (tptp.hAPP @t2073 @t513)) % 6.41/6.68 (define @t2080 () (tptp.hAPP @t2075 @t2079)) % 6.41/6.68 (define @t2081 () (tptp.hAPP @t2069 @t73)) % 6.41/6.68 (define @t2082 () (tptp.hAPP @t2081 @t100)) % 6.41/6.68 (define @t2083 () (tptp.hBOOL (tptp.hAPP @t778 @t2072))) % 6.41/6.68 (define @t2084 () (tptp.hAPP @t777 @t2072)) % 6.41/6.68 (define @t2085 () (tptp.hBOOL (tptp.hAPP @t2084 @t95))) % 6.41/6.68 (define @t2086 () (tptp.hAPP @t777 @t261)) % 6.41/6.68 (define @t2087 () (tptp.hBOOL (tptp.hAPP @t477 @t2072))) % 6.41/6.68 (define @t2088 () (tptp.hAPP @t2057 @t336)) % 6.41/6.68 (define @t2089 () (tptp.hAPP (tptp.hAPP @t1988 @t2076) @t2078)) % 6.41/6.68 (define @t2090 () (tptp.hAPP @t2075 @t1991)) % 6.41/6.68 (define @t2091 () (tptp.hAPP (tptp.hAPP @t2069 @t1993) @t1998)) % 6.41/6.68 (define @t2092 () (tptp.hAPP @t1989 @t2079)) % 6.41/6.68 (define @t2093 () (@list @t95 @t513 @t284 @t8)) % 6.41/6.68 (define @t2094 () (tptp.hAPP @t2069 @t13)) % 6.41/6.68 (define @t2095 () (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax @t74) @t2028) @t1429)) % 6.41/6.68 (define @t2096 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t2069)) % 6.41/6.68 (define @t2097 () (tptp.hAPP @t2096 @t58)) % 6.41/6.68 (define @t2098 () (tptp.hAPP @t2097 @t51)) % 6.41/6.68 (define @t2099 () (tptp.hAPP @t2000 @t2056)) % 6.41/6.68 (define @t2100 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t2053) @t51))) % 6.41/6.68 (define @t2101 () (tptp.hAPP @t2000 @t2053)) % 6.41/6.68 (define @t2102 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 @t104)) % 6.41/6.68 (define @t2103 () (=> @t249 (= @t2102 @t2099))) % 6.41/6.68 (define @t2104 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 @t289)) % 6.41/6.68 (define @t2105 () (tptp.hAPP (tptp.hAPP @t1988 @t2056) @t2104)) % 6.41/6.68 (define @t2106 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 @t1664)) % 6.41/6.68 (define @t2107 () (= @t2106 @t2105)) % 6.41/6.68 (define @t2108 () (@var "V_M_2" $$unsorted)) % 6.41/6.68 (define @t2109 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1324)) % 6.41/6.68 (define @t2110 () (not (= @t2108 @t56))) % 6.41/6.68 (define @t2111 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t2108) @t1324))) % 6.41/6.68 (define @t2112 () (@list @t1324 @t2108 @t8)) % 6.41/6.68 (define @t2113 () (tptp.hAPP (tptp.hAPP @t2038 @t13) @t51)) % 6.41/6.68 (define @t2114 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t104)) % 6.41/6.68 (define @t2115 () (=> @t249 (= @t2114 @t2101))) % 6.41/6.68 (define @t2116 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t289)) % 6.41/6.68 (define @t2117 () (tptp.hAPP (tptp.hAPP @t1988 @t2053) @t2116)) % 6.41/6.68 (define @t2118 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1664)) % 6.41/6.68 (define @t2119 () (= @t2118 @t2117)) % 6.41/6.68 (define @t2120 () (tptp.hAPP (tptp.hAPP @t2038 @t73) @t51)) % 6.41/6.68 (define @t2121 () (tptp.hAPP (tptp.hAPP @t1988 @t3) @t43)) % 6.41/6.68 (define @t2122 () (forall @t396 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t2121) @t394)))) % 6.41/6.68 (define @t2123 () (tptp.hAPP @t2081 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t356))) % 6.41/6.68 (define @t2124 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t51)) % 6.41/6.68 (define @t2125 () (= @t2124 @t73)) % 6.41/6.68 (define @t2126 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 @t51)) % 6.41/6.68 (define @t2127 () (tptp.hAPP @t2081 (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 @t356))) % 6.41/6.68 (define @t2128 () (forall @t396 (= (tptp.hAPP @t1096 @t2121) (tptp.hAPP (tptp.hAPP @t1988 @t1330) @t1329)))) % 6.41/6.68 (define @t2129 () (tptp.hAPP @t2081 @t2126)) % 6.41/6.68 (define @t2130 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t2124) @t51))) % 6.41/6.68 (define @t2131 () (tptp.hAPP @t2081 @t2124)) % 6.41/6.68 (define @t2132 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t2069) @t51)) % 6.41/6.68 (define @t2133 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 @t104)) % 6.41/6.68 (define @t2134 () (=> @t249 (= @t2133 @t2129))) % 6.41/6.68 (define @t2135 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 @t289)) % 6.41/6.68 (define @t2136 () (tptp.hAPP (tptp.hAPP @t2069 @t2126) @t2135)) % 6.41/6.68 (define @t2137 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 @t1664)) % 6.41/6.68 (define @t2138 () (= @t2137 @t2136)) % 6.41/6.68 (define @t2139 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1324)) % 6.41/6.68 (define @t2140 () (tptp.hAPP (tptp.hAPP @t2096 @t13) @t51)) % 6.41/6.68 (define @t2141 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t104)) % 6.41/6.68 (define @t2142 () (=> @t249 (= @t2141 @t2131))) % 6.41/6.68 (define @t2143 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t289)) % 6.41/6.68 (define @t2144 () (tptp.hAPP (tptp.hAPP @t2069 @t2124) @t2143)) % 6.41/6.68 (define @t2145 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1664)) % 6.41/6.68 (define @t2146 () (= @t2145 @t2144)) % 6.41/6.68 (define @t2147 () (tptp.hAPP (tptp.hAPP @t2096 @t73) @t51)) % 6.41/6.68 (define @t2148 () (tptp.c_Set_Oimage @t8 @t8 @t784)) % 6.41/6.68 (define @t2149 () (tptp.hAPP @t2148 @t1791)) % 6.41/6.68 (define @t2150 () (not (= @t1791 @t56))) % 6.41/6.68 (define @t2151 () (tptp.hBOOL (tptp.hAPP @t182 @t1791))) % 6.41/6.68 (define @t2152 () (@list @t1791 @t8)) % 6.41/6.68 (define @t2153 () (tptp.hAPP (tptp.hAPP @t2069 @t3) @t43)) % 6.41/6.68 (define @t2154 () (forall @t396 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t2153) @t394)))) % 6.41/6.68 (define @t2155 () (forall @t396 (= (tptp.hAPP @t1096 @t2153) (tptp.hAPP (tptp.hAPP @t2069 @t1330) @t1329)))) % 6.41/6.68 (define @t2156 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.68 (define @t2157 () (tptp.hAPP (tptp.hAPP @t2156 @t553) @t2049)) % 6.41/6.68 (define @t2158 () (tptp.hAPP @t1354 @t1054)) % 6.41/6.68 (define @t2159 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t2158)) % 6.41/6.68 (define @t2160 () (tptp.c_Int_OBit1 @t1054)) % 6.41/6.68 (define @t2161 () (tptp.hAPP @t1354 @t2160)) % 6.41/6.68 (define @t2162 () (tptp.hAPP @t1462 @t1054)) % 6.41/6.68 (define @t2163 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2162))) % 6.41/6.68 (define @t2164 () (@list @t1054)) % 6.41/6.68 (define @t2165 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t74)) % 6.41/6.68 (define @t2166 () (tptp.c_COMBB @t74 @t1697 @t8)) % 6.41/6.68 (define @t2167 () (tptp.c_Finite__Set_Ofold @t8 @t74 (tptp.hAPP (tptp.hAPP @t2166 @t2165) @t2))) % 6.41/6.68 (define @t2168 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t74)) % 6.41/6.68 (define @t2169 () (tptp.hAPP @t2168 @t51)) % 6.41/6.68 (define @t2170 () (tptp.hAPP @t2169 @t2)) % 6.41/6.68 (define @t2171 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t74)) % 6.41/6.68 (define @t2172 () (@list @t2 @t51 @t8 @t74)) % 6.41/6.68 (define @t2173 () (tptp.hAPP @t1394 @t3)) % 6.41/6.68 (define @t2174 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 6.41/6.68 (define @t2175 () (tptp.hAPP @t1409 @t2174)) % 6.41/6.68 (define @t2176 () (tptp.hAPP @t1394 @t2174)) % 6.41/6.68 (define @t2177 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8)) % 6.41/6.68 (define @t2178 () (tptp.hAPP @t2177 @t1355)) % 6.41/6.68 (define @t2179 () (= @t2178 @t1082)) % 6.41/6.68 (define @t2180 () (tptp.hBOOL (tptp.hAPP @t1493 @t1464))) % 6.41/6.68 (define @t2181 () (= @t2178 @t1391)) % 6.41/6.68 (define @t2182 () (@list @t1079 @t8)) % 6.41/6.68 (define @t2183 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t273)) % 6.41/6.68 (define @t2184 () (tptp.hAPP @t2183 @t51)) % 6.41/6.68 (define @t2185 () (tptp.hAPP @t2184 @t289)) % 6.41/6.68 (define @t2186 () (tptp.hBOOL (tptp.hAPP @t2185 @t58))) % 6.41/6.68 (define @t2187 () (tptp.hAPP @t289 @t13)) % 6.41/6.68 (define @t2188 () (tptp.hAPP @t2187 @t58)) % 6.41/6.68 (define @t2189 () (tptp.hBOOL @t2188)) % 6.41/6.68 (define @t2190 () (tptp.tc_fun @t210 tptp.tc_HOL_Obool)) % 6.41/6.68 (define @t2191 () (tptp.tc_fun @t74 @t2190)) % 6.41/6.68 (define @t2192 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t2191)) % 6.41/6.68 (define @t2193 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2192 @t51) @t289) @t58) @t18))) % 6.41/6.68 (define @t2194 () (tptp.hBOOL (tptp.hAPP @t2188 @t18))) % 6.41/6.68 (define @t2195 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 6.41/6.68 (define @t2196 () (tptp.hAPP @t2195 @t521)) % 6.41/6.68 (define @t2197 () (tptp.hAPP @t2195 @t336)) % 6.41/6.68 (define @t2198 () (tptp.hAPP @t1409 @t2197)) % 6.41/6.68 (define @t2199 () (tptp.hAPP @t1380 @t2198)) % 6.41/6.68 (define @t2200 () (tptp.hAPP @t1409 (tptp.hAPP @t2195 @t337))) % 6.41/6.68 (define @t2201 () (tptp.hAPP @t1385 @t2200)) % 6.41/6.68 (define @t2202 () (= @t205 @t1468)) % 6.41/6.68 (define @t2203 () (tptp.c_Int_OBit1 @t1468)) % 6.41/6.68 (define @t2204 () (tptp.c_Int_OBit1 @t205)) % 6.41/6.68 (define @t2205 () (tptp.hAPP @t2177 @t281)) % 6.41/6.68 (define @t2206 () (tptp.hAPP @t2177 @t378)) % 6.41/6.68 (define @t2207 () (tptp.class_Nat_Osemiring__char__0 @t8)) % 6.41/6.68 (define @t2208 () (@list @t281 @t378 @t8)) % 6.41/6.68 (define @t2209 () (tptp.hAPP @t289 @t3)) % 6.41/6.68 (define @t2210 () (forall @t7 (=> @t363 (tptp.hBOOL (tptp.hAPP @t259 @t2209))))) % 6.41/6.68 (define @t2211 () (tptp.hBOOL (tptp.hAPP @t259 @t2185))) % 6.41/6.68 (define @t2212 () (@var "V_k2_2" $$unsorted)) % 6.41/6.68 (define @t2213 () (@var "V_k1_2" $$unsorted)) % 6.41/6.68 (define @t2214 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t2213) @t2212))) % 6.41/6.68 (define @t2215 () (tptp.c_Int_OBit1 @t2212)) % 6.41/6.68 (define @t2216 () (tptp.c_Int_OBit1 @t2213)) % 6.41/6.68 (define @t2217 () (tptp.hAPP @t1380 @t2216)) % 6.41/6.68 (define @t2218 () (@list @t2212 @t2213)) % 6.41/6.68 (define @t2219 () (tptp.hAPP @t1380 @t2204)) % 6.41/6.68 (define @t2220 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2213) @t2212))) % 6.41/6.68 (define @t2221 () (tptp.hAPP @t1385 @t2216)) % 6.41/6.68 (define @t2222 () (tptp.hAPP @t1385 @t2204)) % 6.41/6.68 (define @t2223 () (tptp.c_Int_OBit1 @t561)) % 6.41/6.68 (define @t2224 () (tptp.c_Int_OBit1 @t556)) % 6.41/6.68 (define @t2225 () (@list @t556)) % 6.41/6.68 (define @t2226 () (tptp.c_Int_OBit1 @t2174)) % 6.41/6.68 (define @t2227 () (tptp.hAPP @t1354 @t2226)) % 6.41/6.68 (define @t2228 () (tptp.hAPP @t1462 @t2226)) % 6.41/6.68 (define @t2229 () (tptp.hAPP @t2195 @t1074)) % 6.41/6.68 (define @t2230 () (tptp.hAPP @t2195 @t281)) % 6.41/6.68 (define @t2231 () (tptp.hAPP @t2195 @t513)) % 6.41/6.68 (define @t2232 () (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t2195 @t3)))) % 6.41/6.68 (define @t2233 () (tptp.hAPP @t2195 @t561)) % 6.41/6.68 (define @t2234 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t73) @t100))) % 6.41/6.68 (define @t2235 () (tptp.hAPP @t2195 @t100)) % 6.41/6.68 (define @t2236 () (tptp.hAPP @t2195 @t73)) % 6.41/6.68 (define @t2237 () (tptp.hAPP @t2195 @t378)) % 6.41/6.68 (define @t2238 () (tptp.hAPP @t1385 @t2237)) % 6.41/6.68 (define @t2239 () (tptp.hBOOL (tptp.hAPP @t1528 @t1480))) % 6.41/6.68 (define @t2240 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t73) @t100))) % 6.41/6.68 (define @t2241 () (tptp.hAPP @t2195 @t284)) % 6.41/6.68 (define @t2242 () (tptp.hAPP @t2195 @t95)) % 6.41/6.68 (define @t2243 () (tptp.hAPP @t2195 @t573)) % 6.41/6.69 (define @t2244 () (tptp.hAPP @t1394 @t2196)) % 6.41/6.69 (define @t2245 () (tptp.hAPP @t2195 @t427)) % 6.41/6.69 (define @t2246 () (tptp.hBOOL (tptp.hAPP @t1821 @t205))) % 6.41/6.69 (define @t2247 () (@list @t205)) % 6.41/6.69 (define @t2248 () (tptp.hBOOL (tptp.hAPP @t1474 tptp.c_Int_OPls))) % 6.41/6.69 (define @t2249 () (tptp.hAPP @t2177 @t521)) % 6.41/6.69 (define @t2250 () (tptp.hAPP @t2177 @t336)) % 6.41/6.69 (define @t2251 () (@list @t336 @t8)) % 6.41/6.69 (define @t2252 () (and @t1142 @t1148)) % 6.41/6.69 (define @t2253 () (tptp.hAPP @t476 @t2249)) % 6.41/6.69 (define @t2254 () (tptp.hAPP (tptp.hAPP @t855 @t95) @t284)) % 6.41/6.69 (define @t2255 () (tptp.hAPP @t2195 @t971)) % 6.41/6.69 (define @t2256 () (tptp.hAPP (tptp.hAPP @t1402 @t2196) @t2197)) % 6.41/6.69 (define @t2257 () (tptp.hBOOL (tptp.hAPP @t2253 @t2250))) % 6.41/6.69 (define @t2258 () (tptp.hAPP @t2195 @t467)) % 6.41/6.69 (define @t2259 () (tptp.hAPP @t2195 @t1924)) % 6.41/6.69 (define @t2260 () (= @t2259 @t513)) % 6.41/6.69 (define @t2261 () (tptp.hAPP @t1409 @t561)) % 6.41/6.69 (define @t2262 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2195)) % 6.41/6.69 (define @t2263 () (tptp.hAPP @t2262 @t289)) % 6.41/6.69 (define @t2264 () (tptp.hAPP @t2262 @t51)) % 6.41/6.69 (define @t2265 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1897)) % 6.41/6.69 (define @t2266 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1900)) % 6.41/6.69 (define @t2267 () (@list @t289 @t51)) % 6.41/6.69 (define @t2268 () (@list @t51)) % 6.41/6.69 (define @t2269 () (tptp.hAPP @t1372 (tptp.c_Int_OBit1 @t1389))) % 6.41/6.69 (define @t2270 () (tptp.hAPP @t136 @t2205)) % 6.41/6.69 (define @t2271 () (@list @t281 @t8)) % 6.41/6.69 (define @t2272 () (tptp.hAPP @t1066 @t1390)) % 6.41/6.69 (define @t2273 () (tptp.hAPP @t1372 @t2174)) % 6.41/6.69 (define @t2274 () (tptp.hAPP @t1380 @t2230)) % 6.41/6.69 (define @t2275 () (tptp.hAPP @t2195 @t452)) % 6.41/6.69 (define @t2276 () (=> @t1494 @t2260)) % 6.41/6.69 (define @t2277 () (@list @t261 @t378)) % 6.41/6.69 (define @t2278 () (tptp.hAPP @t1354 @t2174)) % 6.41/6.69 (define @t2279 () (and (=> @t1938 (= @t1054 @t2237)) (=> (not @t1938) @t1148))) % 6.41/6.69 (define @t2280 () (@list @t378 @t1054)) % 6.41/6.69 (define @t2281 () (tptp.hAPP @t1385 @t638)) % 6.41/6.69 (define @t2282 () (@list @t638 @t117)) % 6.41/6.69 (define @t2283 () (tptp.hAPP @t1402 @t2233)) % 6.41/6.69 (define @t2284 () (tptp.hAPP tptp.c_Nat_OSuc @t1239)) % 6.41/6.69 (define @t2285 () (tptp.hAPP @t553 @t2227)) % 6.41/6.69 (define @t2286 () (tptp.hAPP @t2285 @t336)) % 6.41/6.69 (define @t2287 () (tptp.hAPP tptp.c_Nat_OSuc @t337)) % 6.41/6.69 (define @t2288 () (tptp.hAPP tptp.c_Nat_OSuc @t2287)) % 6.41/6.69 (define @t2289 () (tptp.hAPP @t2195 @t1355)) % 6.41/6.69 (define @t2290 () (tptp.hBOOL (tptp.hAPP @t117 @t1480))) % 6.41/6.69 (define @t2291 () (tptp.hAPP @t753 @t100)) % 6.41/6.69 (define @t2292 () (tptp.hAPP @t468 @t73)) % 6.41/6.69 (define @t2293 () (tptp.hAPP @t2292 @t100)) % 6.41/6.69 (define @t2294 () (@list @t2 @t289 @t51 @t8 @t74)) % 6.41/6.69 (define @t2295 () (tptp.c_COMBC @t74 @t55 @t55)) % 6.41/6.69 (define @t2296 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t55)) % 6.41/6.69 (define @t2297 () (tptp.hAPP @t2296 @t51)) % 6.41/6.69 (define @t2298 () (tptp.hBOOL (tptp.hAPP @t1102 @t2187))) % 6.41/6.69 (define @t2299 () (@list @t289 @t58 @t74 @t51 @t13 @t8)) % 6.41/6.69 (define @t2300 () (tptp.hAPP @t2108 @t638)) % 6.41/6.69 (define @t2301 () (tptp.hAPP @t136 @t638)) % 6.41/6.69 (define @t2302 () (tptp.hBOOL (tptp.hAPP @t2301 @t51))) % 6.41/6.69 (define @t2303 () (@list @t2108 @t51 @t638 @t8 @t74)) % 6.41/6.69 (define @t2304 () (tptp.c_COMBC @t8 @t8 @t8)) % 6.41/6.69 (define @t2305 () (tptp.hAPP @t2177 @t1943)) % 6.41/6.69 (define @t2306 () (tptp.c_Int_OBit0 @t2174)) % 6.41/6.69 (define @t2307 () (tptp.hAPP @t1462 @t2306)) % 6.41/6.69 (define @t2308 () (tptp.hAPP @t1402 @t2307)) % 6.41/6.69 (define @t2309 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t2190)) % 6.41/6.69 (define @t2310 () (tptp.hAPP (tptp.hAPP @t2309 @t51) @t289)) % 6.41/6.69 (define @t2311 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t210 @t55)) % 6.41/6.69 (define @t2312 () (tptp.tc_fun @t210 @t55)) % 6.41/6.69 (define @t2313 () (tptp.c_COMBB @t2190 (tptp.tc_fun @t2312 @t55) @t74)) % 6.41/6.69 (define @t2314 () (tptp.c_COMBC @t74 @t2312 @t55)) % 6.41/6.69 (define @t2315 () (@list @t721 @t289 @t210 @t51 @t8 @t74)) % 6.41/6.69 (define @t2316 () (tptp.tc_fun @t74 @t55)) % 6.41/6.69 (define @t2317 () (tptp.c_COMBB @t273 (tptp.tc_fun @t2316 @t55) @t210)) % 6.41/6.69 (define @t2318 () (tptp.c_COMBC @t210 @t2316 @t55)) % 6.41/6.69 (define @t2319 () (tptp.hAPP @t2311 @t51)) % 6.41/6.69 (define @t2320 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t210 @t273) @t51) @t289)) % 6.41/6.69 (define @t2321 () (@list @t721 @t289 @t51 @t210 @t8 @t74)) % 6.41/6.69 (define @t2322 () (tptp.hAPP @t2209 @t58)) % 6.41/6.69 (define @t2323 () (tptp.hBOOL @t2322)) % 6.41/6.69 (define @t2324 () (@list @t58 @t289 @t51 @t74 @t8)) % 6.41/6.69 (define @t2325 () (tptp.hBOOL (tptp.hAPP @t2322 @t18))) % 6.41/6.69 (define @t2326 () (@list @t18 @t58 @t289 @t51 @t210 @t74 @t8)) % 6.41/6.69 (define @t2327 () (@var "B_xa" $$unsorted)) % 6.41/6.69 (define @t2328 () (tptp.hAPP @t136 @t2327)) % 6.41/6.69 (define @t2329 () (@list @t2327)) % 6.41/6.69 (define @t2330 () (tptp.hAPP @t2297 @t289)) % 6.41/6.69 (define @t2331 () (tptp.c_Orderings_Oord__class_Oless__eq @t1897)) % 6.41/6.69 (define @t2332 () (tptp.c_Orderings_Oord__class_Oless__eq @t1900)) % 6.41/6.69 (define @t2333 () (tptp.hAPP @t2332 @t51)) % 6.41/6.69 (define @t2334 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2335 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t2336 () (tptp.c_Orderings_Oord__class_Oless @t1897)) % 6.41/6.69 (define @t2337 () (tptp.c_Orderings_Oord__class_Oless @t1900)) % 6.41/6.69 (define @t2338 () (tptp.c_member tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2339 () (tptp.c_member tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t2340 () (tptp.hAPP @t2339 @t73)) % 6.41/6.69 (define @t2341 () (@list @t51 @t73)) % 6.41/6.69 (define @t2342 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2343 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t2344 () (tptp.hAPP @t2343 @t51)) % 6.41/6.69 (define @t2345 () (tptp.c_Int_OBit0 @t1468)) % 6.41/6.69 (define @t2346 () (tptp.c_Int_OBit0 @t205)) % 6.41/6.69 (define @t2347 () (tptp.hAPP @t1380 @t2346)) % 6.41/6.69 (define @t2348 () (tptp.c_Int_OBit0 @t2212)) % 6.41/6.69 (define @t2349 () (tptp.c_Int_OBit0 @t2213)) % 6.41/6.69 (define @t2350 () (tptp.hAPP @t1380 @t2349)) % 6.41/6.69 (define @t2351 () (tptp.hAPP @t1385 @t2346)) % 6.41/6.69 (define @t2352 () (tptp.hAPP @t1385 @t2349)) % 6.41/6.69 (define @t2353 () (@list @t1468)) % 6.41/6.69 (define @t2354 () (tptp.c_Int_OBit0 @t561)) % 6.41/6.69 (define @t2355 () (@list @t556 @t561)) % 6.41/6.69 (define @t2356 () (tptp.c_Int_OBit0 @t556)) % 6.41/6.69 (define @t2357 () (tptp.hAPP @t1525 @t556)) % 6.41/6.69 (define @t2358 () (tptp.hAPP @t1394 @t2354)) % 6.41/6.69 (define @t2359 () (tptp.c_Int_OBit0 (tptp.hAPP @t1485 @t556))) % 6.41/6.69 (define @t2360 () (tptp.hAPP @t1510 @t556)) % 6.41/6.69 (define @t2361 () (tptp.c_Int_OBit0 @t2360)) % 6.41/6.69 (define @t2362 () (tptp.hAPP @t1408 @t2354)) % 6.41/6.69 (define @t2363 () (tptp.c_Int_OBit0 @t1054)) % 6.41/6.69 (define @t2364 () (tptp.c_Int_OBit1 @t2357)) % 6.41/6.69 (define @t2365 () (tptp.hAPP @t1394 @t2223)) % 6.41/6.69 (define @t2366 () (tptp.hAPP @t1408 tptp.c_Int_OPls)) % 6.41/6.69 (define @t2367 () (tptp.hAPP @t1408 @t2223)) % 6.41/6.69 (define @t2368 () (tptp.hAPP @t1354 @t2363)) % 6.41/6.69 (define @t2369 () (tptp.c_Int_OBit0 @t1389)) % 6.41/6.69 (define @t2370 () (tptp.hAPP @t1372 @t2369)) % 6.41/6.69 (define @t2371 () (@var "V_inc_2" $$unsorted)) % 6.41/6.69 (define @t2372 () (tptp.hAPP @t1462 @t336)) % 6.41/6.69 (define @t2373 () (tptp.hAPP @t1354 @t2306)) % 6.41/6.69 (define @t2374 () (tptp.hBOOL (tptp.hAPP @t329 @t2209))) % 6.41/6.69 (define @t2375 () (@list @t289 @t51 @t74 @t58 @t8)) % 6.41/6.69 (define @t2376 () (forall @t7 (=> @t742 (= @t2209 @t56)))) % 6.41/6.69 (define @t2377 () (tptp.c_COMBK @t55 @t74)) % 6.41/6.69 (define @t2378 () (tptp.c_COMBK @t273 @t8)) % 6.41/6.69 (define @t2379 () (tptp.hAPP @t2378 @t18)) % 6.41/6.69 (define @t2380 () (tptp.hAPP @t2184 @t2379)) % 6.41/6.69 (define @t2381 () (@list @t289 @t51 @t8 @t74)) % 6.41/6.69 (define @t2382 () (tptp.hAPP @t51 @t3)) % 6.41/6.69 (define @t2383 () (@var "V_I_2" $$unsorted)) % 6.41/6.69 (define @t2384 () (tptp.hBOOL (tptp.hAPP @t741 @t2383))) % 6.41/6.69 (define @t2385 () (tptp.hAPP @t2296 @t2383)) % 6.41/6.69 (define @t2386 () (tptp.hAPP @t2385 @t51)) % 6.41/6.69 (define @t2387 () (@list @t289 @t51 @t2383 @t74 @t8)) % 6.41/6.69 (define @t2388 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 @t55 @t210) @t289) @t2)) % 6.41/6.69 (define @t2389 () (tptp.hAPP (tptp.c_Set_Oimage @t210 @t74 @t2) @t51)) % 6.41/6.69 (define @t2390 () (@list @t289 @t51 @t2 @t210 @t8 @t74)) % 6.41/6.69 (define @t2391 () (tptp.c_COMBB @t273 @t55 @t210)) % 6.41/6.69 (define @t2392 () (tptp.hAPP (tptp.c_Set_Oimage @t74 @t210 @t2) @t51)) % 6.41/6.69 (define @t2393 () (tptp.hAPP @t2311 @t2392)) % 6.41/6.69 (define @t2394 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t210 @t55 @t74) @t289) @t2)) % 6.41/6.69 (define @t2395 () (@list @t2 @t289 @t210 @t51 @t8 @t74)) % 6.41/6.69 (define @t2396 () (tptp.c_COMBB @t55 @t1579 @t74)) % 6.41/6.69 (define @t2397 () (tptp.hAPP (tptp.hAPP @t2396 @t1662) @t51)) % 6.41/6.69 (define @t2398 () (tptp.c_COMBS @t74 @t55 @t55)) % 6.41/6.69 (define @t2399 () (tptp.hAPP (tptp.hAPP @t2398 @t2397) @t289)) % 6.41/6.69 (define @t2400 () (@list @t289 @t51 @t2383 @t8 @t74)) % 6.41/6.69 (define @t2401 () (tptp.hAPP @t2296 @t289)) % 6.41/6.69 (define @t2402 () (@list @t2108 @t289 @t51 @t8 @t74)) % 6.41/6.69 (define @t2403 () (tptp.hAPP @t676 @t513)) % 6.41/6.69 (define @t2404 () (tptp.hAPP @t2403 @t513)) % 6.41/6.69 (define @t2405 () (tptp.hAPP @t1372 @t2306)) % 6.41/6.69 (define @t2406 () (tptp.hAPP @t754 @t513)) % 6.41/6.69 (define @t2407 () (@list @t513 @t8)) % 6.41/6.69 (define @t2408 () (tptp.hAPP @t754 @t2405)) % 6.41/6.69 (define @t2409 () (tptp.c_COMBC @t74 @t210 @t8)) % 6.41/6.69 (define @t2410 () (tptp.hAPP @t2409 @t2)) % 6.41/6.69 (define @t2411 () (tptp.hAPP @t2410 @t73)) % 6.41/6.69 (define @t2412 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t8)) % 6.41/6.69 (define @t2413 () (tptp.hAPP @t2412 @t51)) % 6.41/6.69 (define @t2414 () (tptp.tc_fun @t210 @t8)) % 6.41/6.69 (define @t2415 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t8)) % 6.41/6.69 (define @t2416 () (@list @t73 @t2 @t51 @t210 @t74 @t8)) % 6.41/6.69 (define @t2417 () (tptp.c_COMBB @t75 @t8 @t210)) % 6.41/6.69 (define @t2418 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t210 @t8) @t289)) % 6.41/6.69 (define @t2419 () (tptp.c_COMBB @t2414 @t8 @t74)) % 6.41/6.69 (define @t2420 () (@list @t2 @t289 @t210 @t51 @t74 @t8)) % 6.41/6.69 (define @t2421 () (tptp.hAPP @t2296 @t721)) % 6.41/6.69 (define @t2422 () (tptp.hAPP @t2421 (tptp.hAPP (tptp.hAPP @t2295 (tptp.hAPP (tptp.hAPP @t2396 @t309) @t51)) @t289))) % 6.41/6.69 (define @t2423 () (tptp.hAPP @t2421 @t51)) % 6.41/6.69 (define @t2424 () (tptp.hAPP (tptp.hAPP @t309 @t2423) @t289)) % 6.41/6.69 (define @t2425 () (@list @t289 @t51 @t721 @t74 @t8)) % 6.41/6.69 (define @t2426 () (@list @t289 @t51 @t721 @t8 @t74)) % 6.41/6.69 (define @t2427 () (tptp.hAPP (tptp.hAPP @t553 @t513) @t513)) % 6.41/6.69 (define @t2428 () (tptp.hAPP @t855 @t2373)) % 6.41/6.69 (define @t2429 () (tptp.hAPP tptp.c_Int_Onat @t2307)) % 6.41/6.69 (define @t2430 () (tptp.c_COMBB @t273 @t273 @t8)) % 6.41/6.69 (define @t2431 () (tptp.hAPP (tptp.hAPP @t2430 @t1110) @t289)) % 6.41/6.69 (define @t2432 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t1010) @t51))) % 6.41/6.69 (define @t2433 () (@list @t289 @t13 @t74 @t51 @t1010 @t8)) % 6.41/6.69 (define @t2434 () (@list @t289 @t74 @t51 @t13 @t8)) % 6.41/6.69 (define @t2435 () (tptp.hAPP (tptp.hAPP @t2183 @t2383) @t51)) % 6.41/6.69 (define @t2436 () (tptp.hAPP @t51 @t205)) % 6.41/6.69 (define @t2437 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t205) @t2383))) % 6.41/6.69 (define @t2438 () (@list @t51 @t74 @t2383 @t205 @t8)) % 6.41/6.69 (define @t2439 () (tptp.hAPP @t2183 @t721)) % 6.41/6.69 (define @t2440 () (tptp.hAPP @t2439 @t289)) % 6.41/6.69 (define @t2441 () (tptp.hAPP @t1110 @t2440)) % 6.41/6.69 (define @t2442 () (tptp.hAPP @t2439 @t2431)) % 6.41/6.69 (define @t2443 () (= @t721 @t56)) % 6.41/6.69 (define @t2444 () (not @t2443)) % 6.41/6.69 (define @t2445 () (@list @t289 @t13 @t74 @t8 @t721)) % 6.41/6.69 (define @t2446 () (tptp.hAPP @t1110 @t386)) % 6.41/6.69 (define @t2447 () (tptp.hAPP @t2108 @t3)) % 6.41/6.69 (define @t2448 () (and @t2415 @t484)) % 6.41/6.69 (define @t2449 () (tptp.tc_fun @t273 @t273)) % 6.41/6.69 (define @t2450 () (tptp.c_COMBB @t273 @t2449 @t8)) % 6.41/6.69 (define @t2451 () (tptp.hAPP (tptp.hAPP @t2450 @t1734) @t51)) % 6.41/6.69 (define @t2452 () (tptp.c_COMBC @t8 @t273 @t273)) % 6.41/6.69 (define @t2453 () (tptp.hAPP @t2439 (tptp.hAPP (tptp.hAPP @t2452 @t2451) @t289))) % 6.41/6.69 (define @t2454 () (tptp.hAPP (tptp.hAPP @t1734 (tptp.hAPP @t2439 @t51)) @t289)) % 6.41/6.69 (define @t2455 () (@list @t289 @t51 @t74 @t8 @t721)) % 6.41/6.69 (define @t2456 () (tptp.hAPP @t2439 (tptp.hAPP (tptp.hAPP @t2430 @t1735) @t289))) % 6.41/6.69 (define @t2457 () (tptp.hAPP @t1735 @t2440)) % 6.41/6.69 (define @t2458 () (tptp.hAPP @t1110 @t51)) % 6.41/6.69 (define @t2459 () (@list @t289 @t51 @t13 @t8 @t74)) % 6.41/6.69 (define @t2460 () (tptp.hAPP @t1582 @t2108)) % 6.41/6.69 (define @t2461 () (@list @t2108 @t8 @t51 @t74)) % 6.41/6.69 (define @t2462 () (tptp.hAPP @t1899 @t289)) % 6.41/6.69 (define @t2463 () (tptp.hAPP @t1899 @t51)) % 6.41/6.69 (define @t2464 () (tptp.hAPP (tptp.hAPP @t2265 @t51) @t289)) % 6.41/6.69 (define @t2465 () (tptp.c_Nat__Transfer_Onat__set @t289)) % 6.41/6.69 (define @t2466 () (tptp.c_Nat__Transfer_Onat__set @t51)) % 6.41/6.69 (define @t2467 () (tptp.hAPP @t1476 @t1477)) % 6.41/6.69 (define @t2468 () (tptp.hAPP @t1462 @t2369)) % 6.41/6.69 (define @t2469 () (tptp.hAPP @t1462 (tptp.c_Int_OBit1 @t1079))) % 6.41/6.69 (define @t2470 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2469 @t2468)) % 6.41/6.69 (define @t2471 () (tptp.hBOOL (tptp.hAPP @t1493 @t1463))) % 6.41/6.69 (define @t2472 () (not @t2471)) % 6.41/6.69 (define @t2473 () (tptp.hAPP @t2308 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1464 @t1463))) % 6.41/6.69 (define @t2474 () (@list @t1079 @t1389)) % 6.41/6.69 (define @t2475 () (tptp.hAPP (tptp.hAPP @t1394 @t39) @t1477)) % 6.41/6.69 (define @t2476 () (tptp.hAPP @t2308 @t348)) % 6.41/6.69 (define @t2477 () (tptp.hAPP @t2308 @t39)) % 6.41/6.69 (define @t2478 () (tptp.hAPP @t1491 @t2477)) % 6.41/6.69 (define @t2479 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2478 @t2476)) % 6.41/6.69 (define @t2480 () (tptp.hAPP @t1380 @t348)) % 6.41/6.69 (define @t2481 () (tptp.hBOOL (tptp.hAPP @t2480 @t1480))) % 6.41/6.69 (define @t2482 () (@list @t39 @t348)) % 6.41/6.69 (define @t2483 () (tptp.hBOOL (tptp.hAPP @t1493 @t348))) % 6.41/6.69 (define @t2484 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2485 () (tptp.hAPP (tptp.hAPP @t2484 @t2478) @t2476)) % 6.41/6.69 (define @t2486 () (tptp.hAPP @t2484 @t39)) % 6.41/6.69 (define @t2487 () (tptp.c_Divides_Odiv__class_Omod @t8 @t348 @t39)) % 6.41/6.69 (define @t2488 () (tptp.c_Divides_Odiv__class_Odiv @t8)) % 6.41/6.69 (define @t2489 () (tptp.hAPP @t2488 @t348)) % 6.41/6.69 (define @t2490 () (tptp.hAPP @t2489 @t39)) % 6.41/6.69 (define @t2491 () (tptp.hAPP (tptp.hAPP @t754 @t2490) @t39)) % 6.41/6.69 (define @t2492 () (tptp.hAPP (tptp.hAPP @t676 @t2491) @t2487)) % 6.41/6.69 (define @t2493 () (tptp.class_Divides_Osemiring__div @t8)) % 6.41/6.69 (define @t2494 () (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t793 @t2490)) @t2487)) % 6.41/6.69 (define @t2495 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t348 @t39)) % 6.41/6.69 (define @t2496 () (tptp.hAPP @t2484 @t348)) % 6.41/6.69 (define @t2497 () (tptp.hAPP @t2496 @t39)) % 6.41/6.69 (define @t2498 () (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1617 @t2497)) @t2495)) % 6.41/6.69 (define @t2499 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t39 @t333)) % 6.41/6.69 (define @t2500 () (tptp.hAPP @t1597 @t2499)) % 6.41/6.69 (define @t2501 () (tptp.hAPP @t2486 @t333)) % 6.41/6.69 (define @t2502 () (tptp.hAPP @t1597 @t39)) % 6.41/6.69 (define @t2503 () (tptp.hAPP @t1394 @t348)) % 6.41/6.69 (define @t2504 () (tptp.hAPP @t2503 @t561)) % 6.41/6.69 (define @t2505 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t521 @t336)) % 6.41/6.69 (define @t2506 () (tptp.hAPP @t1408 @t521)) % 6.41/6.69 (define @t2507 () (tptp.hAPP (tptp.hAPP @t2484 @t521) @t336)) % 6.41/6.69 (define @t2508 () (tptp.hAPP @t2503 @t39)) % 6.41/6.69 (define @t2509 () (tptp.c_Divides_Odiv__class_Omod @t8 @t39 @t333)) % 6.41/6.69 (define @t2510 () (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t677 @t2509) @t333)) % 6.41/6.69 (define @t2511 () (tptp.c_Divides_Odiv__class_Omod @t8 @t686 @t333)) % 6.41/6.69 (define @t2512 () (tptp.c_Divides_Odiv__class_Omod @t8 @t348 @t333)) % 6.41/6.69 (define @t2513 () (tptp.hAPP @t676 @t2512)) % 6.41/6.69 (define @t2514 () (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t2513 @t39) @t333)) % 6.41/6.69 (define @t2515 () (= @t2509 (tptp.c_Divides_Odiv__class_Omod @t8 @t1604 @t333))) % 6.41/6.69 (define @t2516 () (= @t2512 (tptp.c_Divides_Odiv__class_Omod @t8 @t169 @t333))) % 6.41/6.69 (define @t2517 () (@list @t1604 @t39 @t169 @t333 @t348 @t8)) % 6.41/6.69 (define @t2518 () (tptp.c_Divides_Odiv__class_Omod @t8 @t796 @t333)) % 6.41/6.69 (define @t2519 () (tptp.hAPP @t754 @t2512)) % 6.41/6.69 (define @t2520 () (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t2519 @t39) @t333)) % 6.41/6.69 (define @t2521 () (tptp.c_Divides_Odiv__class_Omod @t8 @t684 @t333)) % 6.41/6.69 (define @t2522 () (tptp.class_Divides_Oring__div @t8)) % 6.41/6.69 (define @t2523 () (tptp.hAPP @t392 @t2512)) % 6.41/6.69 (define @t2524 () (tptp.c_Divides_Odiv__class_Omod @t8 @t785 @t39)) % 6.41/6.69 (define @t2525 () (@list @t39)) % 6.41/6.69 (define @t2526 () (tptp.hAPP @t1409 @t39)) % 6.41/6.69 (define @t2527 () (tptp.hAPP @t1409 @t348)) % 6.41/6.69 (define @t2528 () (tptp.hAPP @t2484 @t2527)) % 6.41/6.69 (define @t2529 () (tptp.hAPP @t2528 @t39)) % 6.41/6.69 (define @t2530 () (tptp.hAPP @t2496 @t2526)) % 6.41/6.69 (define @t2531 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2502 @t333)) % 6.41/6.69 (define @t2532 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2500 @t333)) % 6.41/6.69 (define @t2533 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1813 @t521)) % 6.41/6.69 (define @t2534 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t95 @t521)) % 6.41/6.69 (define @t2535 () (@list @t284 @t521 @t95)) % 6.41/6.69 (define @t2536 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2527 @t39)) % 6.41/6.69 (define @t2537 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t348 @t2526)) % 6.41/6.69 (define @t2538 () (tptp.hAPP @t1617 @t333)) % 6.41/6.69 (define @t2539 () (tptp.hBOOL (tptp.hAPP @t1481 @t333))) % 6.41/6.69 (define @t2540 () (@list @t39 @t348 @t333)) % 6.41/6.69 (define @t2541 () (tptp.hAPP @t677 @t794)) % 6.41/6.69 (define @t2542 () (tptp.hAPP @t677 @t1186)) % 6.41/6.69 (define @t2543 () (tptp.hAPP @t1409 @t2497)) % 6.41/6.69 (define @t2544 () (tptp.hAPP (tptp.hAPP @t1408 @t2543) @t1477)) % 6.41/6.69 (define @t2545 () (= @t2495 @t1480)) % 6.41/6.69 (define @t2546 () (not @t2545)) % 6.41/6.69 (define @t2547 () (not (= @t39 @t1480))) % 6.41/6.69 (define @t2548 () (@list @t348 @t39)) % 6.41/6.69 (define @t2549 () (tptp.hAPP @t2484 @t95)) % 6.41/6.69 (define @t2550 () (tptp.hAPP @t2549 @t284)) % 6.41/6.69 (define @t2551 () (tptp.hAPP @t1385 @t13)) % 6.41/6.69 (define @t2552 () (tptp.hAPP @t2484 @t13)) % 6.41/6.69 (define @t2553 () (tptp.hAPP @t2552 @t58)) % 6.41/6.69 (define @t2554 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2553) @t1480))) % 6.41/6.69 (define @t2555 () (tptp.hAPP @t1481 @t58)) % 6.41/6.69 (define @t2556 () (tptp.hBOOL @t2555)) % 6.41/6.69 (define @t2557 () (@list @t13 @t58)) % 6.41/6.69 (define @t2558 () (tptp.hAPP @t1385 @t58)) % 6.41/6.69 (define @t2559 () (tptp.hBOOL (tptp.hAPP @t2558 @t1480))) % 6.41/6.69 (define @t2560 () (tptp.hBOOL (tptp.hAPP @t1481 @t39))) % 6.41/6.69 (define @t2561 () (tptp.hAPP @t1385 @t348)) % 6.41/6.69 (define @t2562 () (tptp.hBOOL (tptp.hAPP @t2561 @t1480))) % 6.41/6.69 (define @t2563 () (= @t348 @t1480)) % 6.41/6.69 (define @t2564 () (not @t2563)) % 6.41/6.69 (define @t2565 () (@list @t561 @t521)) % 6.41/6.69 (define @t2566 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t95 @t284)) % 6.41/6.69 (define @t2567 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2495) @t39))) % 6.41/6.69 (define @t2568 () (tptp.hBOOL (tptp.hAPP @t1625 @t2495))) % 6.41/6.69 (define @t2569 () (tptp.hBOOL (tptp.hAPP @t1625 @t1480))) % 6.41/6.69 (define @t2570 () (tptp.hAPP @t2484 @t1464)) % 6.41/6.69 (define @t2571 () (tptp.hAPP @t2570 @t1463)) % 6.41/6.69 (define @t2572 () (tptp.hAPP @t1462 (tptp.c_Int_OBit0 @t1079))) % 6.41/6.69 (define @t2573 () (@var "B_q" $$unsorted)) % 6.41/6.69 (define @t2574 () (@list @t2573)) % 6.41/6.69 (define @t2575 () (@list @t60 @t378)) % 6.41/6.69 (define @t2576 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t561 @t556)) % 6.41/6.69 (define @t2577 () (not (= @t2576 @t1480))) % 6.41/6.69 (define @t2578 () (tptp.hAPP @t1409 @t556)) % 6.41/6.69 (define @t2579 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t561 @t2578)) % 6.41/6.69 (define @t2580 () (tptp.hAPP (tptp.hAPP @t2488 @t1187) @t1186)) % 6.41/6.69 (define @t2581 () (= @t333 @t1082)) % 6.41/6.69 (define @t2582 () (not @t2581)) % 6.41/6.69 (define @t2583 () (=> @t2582 (= @t2580 @t2490))) % 6.41/6.69 (define @t2584 () (tptp.hBOOL (tptp.hAPP @t1333 @t1236))) % 6.41/6.69 (define @t2585 () (= @t281 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t2061 @t1332)) @t1236))) % 6.41/6.69 (define @t2586 () (and (tptp.hBOOL (tptp.hAPP @t1493 @t1236)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1236) @t205)) @t2585)) % 6.41/6.69 (define @t2587 () (@list @t1332 @t1236)) % 6.41/6.69 (define @t2588 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t281 @t205)) % 6.41/6.69 (define @t2589 () (tptp.hAPP @t117 (tptp.hAPP (tptp.hAPP @t2484 @t281) @t205))) % 6.41/6.69 (define @t2590 () (tptp.hBOOL (tptp.hAPP @t2589 @t2588))) % 6.41/6.69 (define @t2591 () (tptp.hBOOL (tptp.hAPP @t1481 @t205))) % 6.41/6.69 (define @t2592 () (@list @t281 @t117 @t205)) % 6.41/6.69 (define @t2593 () (and (tptp.hBOOL (tptp.hAPP @t1474 @t1236)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t1236) @t1480)) @t2585)) % 6.41/6.69 (define @t2594 () (tptp.hAPP @t1474 @t1480)) % 6.41/6.69 (define @t2595 () (tptp.hBOOL @t2594)) % 6.41/6.69 (define @t2596 () (tptp.hAPP @t2338 @t3)) % 6.41/6.69 (define @t2597 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2338 @t73) @t51))) % 6.41/6.69 (define @t2598 () (@list @t73 @t51)) % 6.41/6.69 (define @t2599 () (= @t205 @t1480)) % 6.41/6.69 (define @t2600 () (tptp.hAPP (tptp.hAPP @t2484 @t638) @t205)) % 6.41/6.69 (define @t2601 () (tptp.hBOOL (tptp.hAPP @t1493 @t13))) % 6.41/6.69 (define @t2602 () (tptp.hBOOL (tptp.hAPP @t1493 @t2553))) % 6.41/6.69 (define @t2603 () (tptp.hAPP @t1380 @t58)) % 6.41/6.69 (define @t2604 () (@list @t58 @t13)) % 6.41/6.69 (define @t2605 () (tptp.hAPP @t2496 @t1604)) % 6.41/6.69 (define @t2606 () (tptp.hAPP @t1380 @t2497)) % 6.41/6.69 (define @t2607 () (@list @t39 @t1604 @t348)) % 6.41/6.69 (define @t2608 () (tptp.hBOOL (tptp.hAPP @t2606 @t1480))) % 6.41/6.69 (define @t2609 () (= @t2497 @t1480)) % 6.41/6.69 (define @t2610 () (tptp.hBOOL (tptp.hAPP @t2561 @t39))) % 6.41/6.69 (define @t2611 () (tptp.hBOOL (tptp.hAPP @t1625 @t348))) % 6.41/6.69 (define @t2612 () (tptp.hAPP (tptp.hAPP @t2484 @t169) @t39)) % 6.41/6.69 (define @t2613 () (tptp.hBOOL (tptp.hAPP @t2480 @t169))) % 6.41/6.69 (define @t2614 () (@list @t39 @t169 @t348)) % 6.41/6.69 (define @t2615 () (tptp.hBOOL (tptp.hAPP @t1493 @t2495))) % 6.41/6.69 (define @t2616 () (= @t2495 @t348)) % 6.41/6.69 (define @t2617 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t2495) @t1480))) % 6.41/6.69 (define @t2618 () (tptp.hAPP @t1408 @t39)) % 6.41/6.69 (define @t2619 () (tptp.hAPP @t711 @t2490)) % 6.41/6.69 (define @t2620 () (tptp.hAPP (tptp.hAPP @t676 @t2490) @t675)) % 6.41/6.69 (define @t2621 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t2508) @t1480))) % 6.41/6.69 (define @t2622 () (@list @t205 @t281 @t117)) % 6.41/6.69 (define @t2623 () (@var "V_b_1" $$unsorted)) % 6.41/6.69 (define @t2624 () (@var "V_a_1" $$unsorted)) % 6.41/6.69 (define @t2625 () (not (= @t2623 @t1480))) % 6.41/6.69 (define @t2626 () (@var "V_r_1" $$unsorted)) % 6.41/6.69 (define @t2627 () (tptp.hAPP @t1385 @t2623)) % 6.41/6.69 (define @t2628 () (tptp.hBOOL (tptp.hAPP @t1481 @t2623))) % 6.41/6.69 (define @t2629 () (not @t2628)) % 6.41/6.69 (define @t2630 () (tptp.hAPP @t1402 @t2623)) % 6.41/6.69 (define @t2631 () (tptp.hBOOL (tptp.hAPP @t117 @t1236))) % 6.41/6.69 (define @t2632 () (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1617 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1594 @t333))) @t1232)) % 6.41/6.69 (define @t2633 () (@list @t1594 @t39 @t1232 @t333)) % 6.41/6.69 (define @t2634 () (@list @t1594 @t1232 @t39 @t333)) % 6.41/6.69 (define @t2635 () (@var "V_q_1" $$unsorted)) % 6.41/6.69 (define @t2636 () (tptp.hAPP (tptp.hAPP @t2484 @t2469) @t2468)) % 6.41/6.69 (define @t2637 () (tptp.hAPP @t2484 @t561)) % 6.41/6.69 (define @t2638 () (tptp.c_SMT_Oz3div @t561 @t556)) % 6.41/6.69 (define @t2639 () (tptp.hBOOL (tptp.hAPP @t1493 @t556))) % 6.41/6.69 (define @t2640 () (not @t2639)) % 6.41/6.69 (define @t2641 () (tptp.hAPP @t2637 @t556)) % 6.41/6.69 (define @t2642 () (@list @t561 @t556)) % 6.41/6.69 (define @t2643 () (tptp.c_SMT_Oz3mod @t561 @t556)) % 6.41/6.69 (define @t2644 () (tptp.hAPP @t2339 @t3)) % 6.41/6.69 (define @t2645 () (tptp.hBOOL (tptp.hAPP @t2644 @t1324))) % 6.41/6.69 (define @t2646 () (tptp.hBOOL (tptp.hAPP @t2335 @t1324))) % 6.41/6.69 (define @t2647 () (@list @t1324)) % 6.41/6.69 (define @t2648 () (tptp.c_Power_Opower__class_Opower @t8)) % 6.41/6.69 (define @t2649 () (tptp.hAPP @t2648 @t1425)) % 6.41/6.69 (define @t2650 () (tptp.hAPP @t2649 @t2161)) % 6.41/6.69 (define @t2651 () (tptp.hBOOL (tptp.hAPP @t1493 @t2162))) % 6.41/6.69 (define @t2652 () (not @t2651)) % 6.41/6.69 (define @t2653 () (tptp.c_COMBB @t8 @t1969 @t8)) % 6.41/6.69 (define @t2654 () (tptp.hAPP @t2653 @t754)) % 6.41/6.69 (define @t2655 () (tptp.c_COMBS @t8 @t8 @t8)) % 6.41/6.69 (define @t2656 () (tptp.c_HOL_OLet @t8 @t8)) % 6.41/6.69 (define @t2657 () (tptp.hAPP @t2656 (tptp.hAPP @t2649 @t2158))) % 6.41/6.69 (define @t2658 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1239 @t1846)) % 6.41/6.69 (define @t2659 () (@list @t1844)) % 6.41/6.69 (define @t2660 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t348 @t39)) % 6.41/6.69 (define @t2661 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t2662 () (tptp.hAPP @t2661 @t348)) % 6.41/6.69 (define @t2663 () (tptp.hAPP @t2662 @t39)) % 6.41/6.69 (define @t2664 () (tptp.hAPP @t855 @t39)) % 6.41/6.69 (define @t2665 () (tptp.hAPP @t2664 @t333)) % 6.41/6.69 (define @t2666 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t39 @t333)) % 6.41/6.69 (define @t2667 () (tptp.hAPP @t855 @t348)) % 6.41/6.69 (define @t2668 () (tptp.hAPP (tptp.hAPP @t2661 @t39) @t333)) % 6.41/6.69 (define @t2669 () (tptp.hAPP @t2667 @t39)) % 6.41/6.69 (define @t2670 () (tptp.hAPP (tptp.hAPP @t553 @t348) @t39)) % 6.41/6.69 (define @t2671 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t521 @t336)) % 6.41/6.69 (define @t2672 () (tptp.hAPP @t522 @t2671)) % 6.41/6.69 (define @t2673 () (tptp.hAPP @t2661 @t521)) % 6.41/6.69 (define @t2674 () (tptp.hAPP @t2673 @t336)) % 6.41/6.69 (define @t2675 () (tptp.hAPP (tptp.hAPP @t855 @t2674) @t336)) % 6.41/6.69 (define @t2676 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t2677 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2678 () (@list @t336 @t95)) % 6.41/6.69 (define @t2679 () (tptp.hAPP (tptp.hAPP @t2677 @t2196) @t336)) % 6.41/6.69 (define @t2680 () (tptp.hAPP (tptp.hAPP @t2676 @t521) @t336)) % 6.41/6.69 (define @t2681 () (tptp.hAPP @t2195 @t2680)) % 6.41/6.69 (define @t2682 () (tptp.hAPP @t2648 @t284)) % 6.41/6.69 (define @t2683 () (tptp.hAPP @t2648 @t95)) % 6.41/6.69 (define @t2684 () (tptp.hAPP @t2683 @t1594)) % 6.41/6.69 (define @t2685 () (tptp.hAPP @t754 @t2684)) % 6.41/6.69 (define @t2686 () (tptp.hAPP @t2661 @t336)) % 6.41/6.69 (define @t2687 () (tptp.hAPP tptp.c_Nat_OSuc @t2671)) % 6.41/6.69 (define @t2688 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t544 @t336)) % 6.41/6.69 (define @t2689 () (=> @t548 (= @t2671 @t521))) % 6.41/6.69 (define @t2690 () (tptp.hAPP @t753 @t2671)) % 6.41/6.69 (define @t2691 () (@var "V_p" $$unsorted)) % 6.41/6.69 (define @t2692 () (tptp.hAPP @t855 @t2691)) % 6.41/6.69 (define @t2693 () (tptp.hAPP @t2683 @t2691)) % 6.41/6.69 (define @t2694 () (@list @t1594 @t2691 @t95 @t8)) % 6.41/6.69 (define @t2695 () (tptp.hAPP @t2677 @t95)) % 6.41/6.69 (define @t2696 () (tptp.hAPP @t2695 @t284)) % 6.41/6.69 (define @t2697 () (tptp.hAPP @t2695 @t336)) % 6.41/6.69 (define @t2698 () (tptp.hAPP (tptp.hAPP @t2677 @t513) @t336)) % 6.41/6.69 (define @t2699 () (=> @t548 (= @t2674 @t1074))) % 6.41/6.69 (define @t2700 () (tptp.hAPP (tptp.hAPP @t2661 @t918) @t917)) % 6.41/6.69 (define @t2701 () (= @t2700 @t2674)) % 6.41/6.69 (define @t2702 () (= @t561 @t1074)) % 6.41/6.69 (define @t2703 () (tptp.hAPP @t852 @t2684)) % 6.41/6.69 (define @t2704 () (tptp.hAPP @t2683 (tptp.hAPP tptp.c_Nat_OSuc @t1594))) % 6.41/6.69 (define @t2705 () (@list @t1594 @t95 @t8)) % 6.41/6.69 (define @t2706 () (= @t2687 @t336)) % 6.41/6.69 (define @t2707 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t551 @t336)) % 6.41/6.69 (define @t2708 () (= @t2671 @t2707)) % 6.41/6.69 (define @t2709 () (=> @t646 @t2708)) % 6.41/6.69 (define @t2710 () (tptp.hAPP (tptp.hAPP @t553 @t917) @t521)) % 6.41/6.69 (define @t2711 () (tptp.hAPP @t2195 @t39)) % 6.41/6.69 (define @t2712 () (tptp.hAPP @t2195 @t348)) % 6.41/6.69 (define @t2713 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t95 @t284)) % 6.41/6.69 (define @t2714 () (tptp.hAPP @t2648 @t13)) % 6.41/6.69 (define @t2715 () (tptp.hAPP @t2714 @t281)) % 6.41/6.69 (define @t2716 () (@list @t281 @t13 @t8)) % 6.41/6.69 (define @t2717 () (tptp.hAPP @t2677 @t1464)) % 6.41/6.69 (define @t2718 () (tptp.hAPP @t2676 @t1355)) % 6.41/6.69 (define @t2719 () (tptp.hAPP @t2718 @t336)) % 6.41/6.69 (define @t2720 () (tptp.hAPP @t2676 @t1074)) % 6.41/6.69 (define @t2721 () (tptp.hAPP @t2718 @t1922)) % 6.41/6.69 (define @t2722 () (tptp.hAPP @t2661 @t561)) % 6.41/6.69 (define @t2723 () (tptp.hAPP @t472 @t467)) % 6.41/6.69 (define @t2724 () (tptp.hBOOL (tptp.hAPP @t2723 @t336))) % 6.41/6.69 (define @t2725 () (tptp.hAPP (tptp.hAPP @t2655 @t754) @t1505)) % 6.41/6.69 (define @t2726 () (tptp.hAPP @t2648 @t261)) % 6.41/6.69 (define @t2727 () (tptp.hAPP @t2656 (tptp.hAPP @t2726 @t2158))) % 6.41/6.69 (define @t2728 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2729 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2730 () (tptp.hAPP @t2677 @t261)) % 6.41/6.69 (define @t2731 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t2730 @t2158))) % 6.41/6.69 (define @t2732 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2661 @t551) @t336))) % 6.41/6.69 (define @t2733 () (= @t2674 @t2732)) % 6.41/6.69 (define @t2734 () (=> @t646 @t2733)) % 6.41/6.69 (define @t2735 () (= @t281 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t1154 @t1332)) @t1236))) % 6.41/6.69 (define @t2736 () (tptp.hBOOL (tptp.hAPP @t1237 @t205))) % 6.41/6.69 (define @t2737 () (not @t1152)) % 6.41/6.69 (define @t2738 () (tptp.hAPP (tptp.hAPP @t2661 @t1943) @t1942)) % 6.41/6.69 (define @t2739 () (tptp.hAPP tptp.c_Int_Onat @t2550)) % 6.41/6.69 (define @t2740 () (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t2664 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1594 @t333))) @t1232)) % 6.41/6.69 (define @t2741 () (tptp.hBOOL (tptp.hAPP @t1100 @t333))) % 6.41/6.69 (define @t2742 () (tptp.hAPP @t2648 @t348)) % 6.41/6.69 (define @t2743 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1943 @t1942)) % 6.41/6.69 (define @t2744 () (tptp.hAPP tptp.c_Int_Onat @t2566)) % 6.41/6.69 (define @t2745 () (tptp.hAPP @t2676 @t2691)) % 6.41/6.69 (define @t2746 () (tptp.hAPP @t2745 @t521)) % 6.41/6.69 (define @t2747 () (tptp.hAPP (tptp.hAPP @t2661 @t378) @t281)) % 6.41/6.69 (define @t2748 () (@var "V_q_2" $$unsorted)) % 6.41/6.69 (define @t2749 () (tptp.hAPP @t2285 @t521)) % 6.41/6.69 (define @t2750 () (tptp.hAPP @t2661 @t2749)) % 6.41/6.69 (define @t2751 () (tptp.hAPP tptp.c_Nat_OSuc @t544)) % 6.41/6.69 (define @t2752 () (tptp.hAPP tptp.c_Nat_OSuc @t2751)) % 6.41/6.69 (define @t2753 () (tptp.hAPP @t2661 @t2752)) % 6.41/6.69 (define @t2754 () (@list @t1079 @t521)) % 6.41/6.69 (define @t2755 () (tptp.hAPP @t2714 @t2373)) % 6.41/6.69 (define @t2756 () (tptp.hAPP @t2648 @t1082)) % 6.41/6.69 (define @t2757 () (tptp.hAPP @t2742 @t2373)) % 6.41/6.69 (define @t2758 () (tptp.hAPP @t2683 @t2373)) % 6.41/6.69 (define @t2759 () (tptp.hAPP @t2648 @t675)) % 6.41/6.69 (define @t2760 () (tptp.hAPP @t2648 @t785)) % 6.41/6.69 (define @t2761 () (tptp.hAPP @t2742 @t336)) % 6.41/6.69 (define @t2762 () (tptp.hAPP (tptp.hAPP @t2648 @t2761) @t2373)) % 6.41/6.69 (define @t2763 () (tptp.hAPP @t2428 @t336)) % 6.41/6.69 (define @t2764 () (tptp.hAPP @t2742 @t2763)) % 6.41/6.69 (define @t2765 () (@list @t336 @t348 @t8)) % 6.41/6.69 (define @t2766 () (tptp.hAPP @t2682 @t2373)) % 6.41/6.69 (define @t2767 () (not @t1122)) % 6.41/6.69 (define @t2768 () (tptp.hAPP @t2648 @t73)) % 6.41/6.69 (define @t2769 () (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t2768 @t2373)) (tptp.hAPP (tptp.hAPP @t2648 @t100) @t2373))) % 6.41/6.69 (define @t2770 () (tptp.hAPP @t1428 @t1389)) % 6.41/6.69 (define @t2771 () (tptp.c_Power_Opower__class_Opower @t74)) % 6.41/6.69 (define @t2772 () (tptp.hAPP (tptp.hAPP @t2661 @t1355) @t1846)) % 6.41/6.69 (define @t2773 () (tptp.hAPP @t2683 @t336)) % 6.41/6.69 (define @t2774 () (tptp.hAPP (tptp.hAPP @t754 @t2773) @t2773)) % 6.41/6.69 (define @t2775 () (@list @t336 @t95 @t8)) % 6.41/6.69 (define @t2776 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1355 @t1846)) % 6.41/6.69 (define @t2777 () (tptp.hAPP @t2484 @t1477)) % 6.41/6.69 (define @t2778 () (tptp.hAPP (tptp.hAPP @t676 @t2758) @t2766)) % 6.41/6.69 (define @t2779 () (tptp.hAPP (tptp.hAPP @t754 (tptp.hAPP @t2408 @t95)) @t284)) % 6.41/6.69 (define @t2780 () (tptp.hAPP tptp.c_Nat_OSuc @t2763)) % 6.41/6.69 (define @t2781 () (tptp.hAPP @t2742 @t2780)) % 6.41/6.69 (define @t2782 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t378 @t2373)) % 6.41/6.69 (define @t2783 () (@list @t378)) % 6.41/6.69 (define @t2784 () (tptp.hAPP @t2648 @t809)) % 6.41/6.69 (define @t2785 () (tptp.hAPP @t2677 @t561)) % 6.41/6.69 (define @t2786 () (tptp.hAPP @t2726 @t2161)) % 6.41/6.69 (define @t2787 () (@list @t261 @t1054 @t8)) % 6.41/6.69 (define @t2788 () (tptp.hAPP @t2730 @t2161)) % 6.41/6.69 (define @t2789 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2790 () (tptp.c_COMBB tptp.tc_Int_Oint @t2789 tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2791 () (tptp.hAPP @t2648 @t39)) % 6.41/6.69 (define @t2792 () (tptp.hAPP @t2791 @t336)) % 6.41/6.69 (define @t2793 () (tptp.hAPP @t476 @t2761)) % 6.41/6.69 (define @t2794 () (tptp.hBOOL (tptp.hAPP @t2793 @t2792))) % 6.41/6.69 (define @t2795 () (@list @t336 @t39 @t348 @t8)) % 6.41/6.69 (define @t2796 () (tptp.hBOOL (tptp.hAPP @t967 @t348))) % 6.41/6.69 (define @t2797 () (tptp.hAPP @t2648 @t58)) % 6.41/6.69 (define @t2798 () (tptp.hAPP @t2797 @t100)) % 6.41/6.69 (define @t2799 () (tptp.hAPP @t2797 @t73)) % 6.41/6.69 (define @t2800 () (tptp.hBOOL (tptp.hAPP @t967 @t58))) % 6.41/6.69 (define @t2801 () (@list @t100 @t73 @t58 @t8)) % 6.41/6.69 (define @t2802 () (tptp.hAPP @t2742 @t521)) % 6.41/6.69 (define @t2803 () (@list @t336 @t521 @t348 @t8)) % 6.41/6.69 (define @t2804 () (@var "V_N" $$unsorted)) % 6.41/6.69 (define @t2805 () (tptp.hAPP @t2742 @t2804)) % 6.41/6.69 (define @t2806 () (tptp.hBOOL (tptp.hAPP @t864 @t2804))) % 6.41/6.69 (define @t2807 () (@list @t348 @t2804 @t336 @t8)) % 6.41/6.69 (define @t2808 () (tptp.hAPP @t2676 @t73)) % 6.41/6.69 (define @t2809 () (@list @t281 @t73)) % 6.41/6.69 (define @t2810 () (tptp.hAPP @t2676 @t592)) % 6.41/6.69 (define @t2811 () (tptp.hAPP @t2810 @t336)) % 6.41/6.69 (define @t2812 () (@list @t336 @t521 @t592)) % 6.41/6.69 (define @t2813 () (tptp.hAPP @t795 @t2761)) % 6.41/6.69 (define @t2814 () (tptp.hAPP @t754 @t2761)) % 6.41/6.69 (define @t2815 () (tptp.hAPP @t2814 @t348)) % 6.41/6.69 (define @t2816 () (tptp.hAPP @t777 @t2761)) % 6.41/6.69 (define @t2817 () (tptp.class_Power_Opower @t8)) % 6.41/6.69 (define @t2818 () (tptp.hBOOL (tptp.hAPP @t1234 @t348))) % 6.41/6.69 (define @t2819 () (tptp.class_Rings_Osemiring__0 @t8)) % 6.41/6.69 (define @t2820 () (and @t2817 @t2819)) % 6.41/6.69 (define @t2821 () (tptp.hAPP @t2742 @t337)) % 6.41/6.69 (define @t2822 () (@list @t39 @t336 @t348 @t8)) % 6.41/6.69 (define @t2823 () (tptp.hAPP @t2791 @t337)) % 6.41/6.69 (define @t2824 () (tptp.hAPP @t2756 @t336)) % 6.41/6.69 (define @t2825 () (tptp.hBOOL (tptp.hAPP @t549 @t2804))) % 6.41/6.69 (define @t2826 () (tptp.hAPP @t2760 @t336)) % 6.41/6.69 (define @t2827 () (tptp.hBOOL (tptp.hAPP @t500 @t675))) % 6.41/6.69 (define @t2828 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 6.41/6.69 (define @t2829 () (tptp.hAPP @t2828 @t2306)) % 6.41/6.69 (define @t2830 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 6.41/6.69 (define @t2831 () (tptp.hAPP @t2308 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t2830 @t561) @t2829)))) % 6.41/6.69 (define @t2832 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t561)) % 6.41/6.69 (define @t2833 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.41/6.69 (define @t2834 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t561 @t2829) @t2833)) % 6.41/6.69 (define @t2835 () (= @t561 @t2833)) % 6.41/6.69 (define @t2836 () (tptp.hAPP @t1372 tptp.c_Int_OMin)) % 6.41/6.69 (define @t2837 () (tptp.hAPP @t2648 @t2836)) % 6.41/6.69 (define @t2838 () (tptp.c_Nat__Transfer_Ois__nat @t73)) % 6.41/6.69 (define @t2839 () (tptp.hAPP @t1380 tptp.c_Int_OMin)) % 6.41/6.69 (define @t2840 () (tptp.hAPP @t1385 tptp.c_Int_OMin)) % 6.41/6.69 (define @t2841 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 6.41/6.69 (define @t2842 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.41/6.69 (define @t2843 () (tptp.c_Nat__Transfer_Ois__nat @t284)) % 6.41/6.69 (define @t2844 () (tptp.c_Nat__Transfer_Ois__nat @t95)) % 6.41/6.69 (define @t2845 () (tptp.hBOOL (tptp.hAPP @t1469 tptp.c_Int_OMin))) % 6.41/6.69 (define @t2846 () (tptp.hBOOL (tptp.hAPP @t2840 @t205))) % 6.41/6.69 (define @t2847 () (tptp.hAPP @t1462 tptp.c_Int_OMin)) % 6.41/6.69 (define @t2848 () (tptp.hAPP @t784 @t513)) % 6.41/6.69 (define @t2849 () (tptp.hAPP @t1408 tptp.c_Int_OMin)) % 6.41/6.69 (define @t2850 () (tptp.hAPP @t2849 @t556)) % 6.41/6.69 (define @t2851 () (tptp.c_Int_OBit1 @t2850)) % 6.41/6.69 (define @t2852 () (tptp.hAPP (tptp.hAPP @t1402 @t521) @t336)) % 6.41/6.69 (define @t2853 () (@var "V_one_2" $$unsorted)) % 6.41/6.69 (define @t2854 () (@var "V_times_2" $$unsorted)) % 6.41/6.69 (define @t2855 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t8 @t2853 @t2854) @t13)) % 6.41/6.69 (define @t2856 () (tptp.hAPP @t2618 @t1477)) % 6.41/6.69 (define @t2857 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t60)) % 6.41/6.69 (define @t2858 () (tptp.hAPP @t1409 @t2857)) % 6.41/6.69 (define @t2859 () (@list @t60 @t2)) % 6.41/6.69 (define @t2860 () (tptp.hAPP (tptp.hAPP @t1394 @t1468) @t1477)) % 6.41/6.69 (define @t2861 () (tptp.hAPP @t1408 @t1010)) % 6.41/6.69 (define @t2862 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1468 @t1010)) % 6.41/6.69 (define @t2863 () (@list @t1010 @t1468)) % 6.41/6.69 (define @t2864 () (@var "V_less__eq_2" $$unsorted)) % 6.41/6.69 (define @t2865 () (tptp.hAPP @t2864 @t638)) % 6.41/6.69 (define @t2866 () (tptp.hBOOL (tptp.hAPP @t2865 @t1010))) % 6.41/6.69 (define @t2867 () (@var "V_less_2" $$unsorted)) % 6.41/6.69 (define @t2868 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2867 @t1468) @t638))) % 6.41/6.69 (define @t2869 () (@list @t1010 @t1468 @t2867 @t2864 @t638 @t8)) % 6.41/6.69 (define @t2870 () (tptp.hAPP @t777 @t1468)) % 6.41/6.69 (define @t2871 () (tptp.hBOOL (tptp.hAPP @t2870 @t205))) % 6.41/6.69 (define @t2872 () (@list @t205 @t1468 @t8)) % 6.41/6.69 (define @t2873 () (tptp.hAPP @t2842 @t592)) % 6.41/6.69 (define @t2874 () (tptp.c_Code__Numeral_Onat__of__aux @t592 @t336)) % 6.41/6.69 (define @t2875 () (= @t592 @t2833)) % 6.41/6.69 (define @t2876 () (@var "V_code__numeral" $$unsorted)) % 6.41/6.69 (define @t2877 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2876)) % 6.41/6.69 (define @t2878 () (@list @t2876)) % 6.41/6.69 (define @t2879 () (@list @t205 @t2864 @t638 @t8)) % 6.41/6.69 (define @t2880 () (tptp.hAPP @t2867 @t638)) % 6.41/6.69 (define @t2881 () (@list @t205 @t2867 @t638 @t8)) % 6.41/6.69 (define @t2882 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t1468 @t1010)) % 6.41/6.69 (define @t2883 () (@var "V_code__numeral_H_2" $$unsorted)) % 6.41/6.69 (define @t2884 () (@var "V_code__numeral_2" $$unsorted)) % 6.41/6.69 (define @t2885 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2884)) % 6.41/6.69 (define @t2886 () (@var "V_code__numeral_H_1" $$unsorted)) % 6.41/6.69 (define @t2887 () (@var "V_code__numeral_H" $$unsorted)) % 6.41/6.69 (define @t2888 () (tptp.hAPP tptp.c_Nat_OSuc @t1468)) % 6.41/6.69 (define @t2889 () (tptp.hAPP @t468 @t1010)) % 6.41/6.69 (define @t2890 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 6.41/6.69 (define @t2891 () (tptp.hBOOL (tptp.hAPP @t2880 @t1010))) % 6.41/6.69 (define @t2892 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2864 @t1468) @t638))) % 6.41/6.69 (define @t2893 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t1468 @t1010)) % 6.41/6.69 (define @t2894 () (tptp.hAPP (tptp.hAPP @t52 @t1010) @t56)) % 6.41/6.69 (define @t2895 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t1468 @t1010)) % 6.41/6.69 (define @t2896 () (tptp.hAPP @t1662 @t2895)) % 6.41/6.69 (define @t2897 () (tptp.hAPP @t476 @t1468)) % 6.41/6.69 (define @t2898 () (tptp.hBOOL (tptp.hAPP @t2897 @t1010))) % 6.41/6.69 (define @t2899 () (@list @t1010 @t1468 @t8)) % 6.41/6.69 (define @t2900 () (tptp.c_Int_Oring__1__class_Oof__int @t8)) % 6.41/6.69 (define @t2901 () (tptp.hAPP @t2900 @t561)) % 6.41/6.69 (define @t2902 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t561) @t1480))) % 6.41/6.69 (define @t2903 () (tptp.hAPP @t402 @t1791)) % 6.41/6.69 (define @t2904 () (tptp.hAPP @t2771 @t18)) % 6.41/6.69 (define @t2905 () (tptp.hAPP @t2050 tptp.c_fequal)) % 6.41/6.69 (define @t2906 () (tptp.hAPP @t2905 @t13)) % 6.41/6.69 (define @t2907 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t74 @t1697) @t8) (tptp.c_If @t74))) % 6.41/6.69 (define @t2908 () (tptp.c_COMBS @t8 @t74 @t1697)) % 6.41/6.69 (define @t2909 () (tptp.c_COMBC @t8 @t74 @t74)) % 6.41/6.69 (define @t2910 () (tptp.hAPP @t2909 (tptp.hAPP (tptp.hAPP @t2908 (tptp.hAPP @t2907 @t2906)) @t58))) % 6.41/6.69 (define @t2911 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 @t74)) % 6.41/6.69 (define @t2912 () (tptp.hAPP (tptp.hAPP @t2911 (tptp.hAPP @t2910 @t18)) @t1791)) % 6.41/6.69 (define @t2913 () (tptp.hBOOL (tptp.hAPP @t298 @t1791))) % 6.41/6.69 (define @t2914 () (not @t2913)) % 6.41/6.69 (define @t2915 () (tptp.hAPP @t58 @t13)) % 6.41/6.69 (define @t2916 () (tptp.class_Groups_Ocomm__monoid__mult @t74)) % 6.41/6.69 (define @t2917 () (@var "V_r_2" $$unsorted)) % 6.41/6.69 (define @t2918 () (tptp.hAPP @t2308 @t2748)) % 6.41/6.69 (define @t2919 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2920 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2921 () (tptp.c_If @t2920)) % 6.41/6.69 (define @t2922 () (tptp.tc_fun @t2920 @t2920)) % 6.41/6.69 (define @t2923 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t2920 @t2922) tptp.tc_Int_Oint) @t2921)) % 6.41/6.69 (define @t2924 () (tptp.c_COMBS tptp.tc_Int_Oint @t2920 @t2922)) % 6.41/6.69 (define @t2925 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t2920)) % 6.41/6.69 (define @t2926 () (tptp.hAPP (tptp.hAPP @t2919 @t2748) @t2917)) % 6.41/6.69 (define @t2927 () (tptp.c_Divides_Oadjust @t58)) % 6.41/6.69 (define @t2928 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t1468 @t1010)) % 6.41/6.69 (define @t2929 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1468 @t1010)) % 6.41/6.69 (define @t2930 () (tptp.tc_prod @t8 @t74)) % 6.41/6.69 (define @t2931 () (tptp.tc_fun @t2930 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t2932 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2931)) % 6.41/6.69 (define @t2933 () (tptp.c_Product__Type_OPair @t8 @t74)) % 6.41/6.69 (define @t2934 () (tptp.hAPP @t2933 @t73)) % 6.41/6.69 (define @t2935 () (tptp.hAPP @t2934 @t100)) % 6.41/6.69 (define @t2936 () (tptp.c_member @t2930)) % 6.41/6.69 (define @t2937 () (tptp.hAPP @t2936 @t2935)) % 6.41/6.69 (define @t2938 () (tptp.tc_fun @t2931 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t2939 () (tptp.tc_fun @t74 @t2938)) % 6.41/6.69 (define @t2940 () (tptp.tc_fun @t74 @t2930)) % 6.41/6.69 (define @t2941 () (tptp.hAPP (tptp.c_COMBC @t8 @t2931 @t273) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2939 (tptp.tc_fun @t2931 @t273) @t8) (tptp.c_COMBC @t74 @t2931 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2940 @t2939 @t8) (tptp.hAPP (tptp.c_COMBB @t2930 @t2938 @t74) @t2936)) @t2933)))) % 6.41/6.69 (define @t2942 () (tptp.hAPP @t2941 @t1791)) % 6.41/6.69 (define @t2943 () (tptp.hAPP @t2941 @t201)) % 6.41/6.69 (define @t2944 () (tptp.tc_fun @t8 @t273)) % 6.41/6.69 (define @t2945 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2944)) % 6.41/6.69 (define @t2946 () (@list @t100 @t73 @t1791 @t201 @t74 @t8)) % 6.41/6.69 (define @t2947 () (@list @t1791 @t201 @t74 @t8)) % 6.41/6.69 (define @t2948 () (tptp.c_Orderings_Oord__class_Oless__eq @t2931)) % 6.41/6.69 (define @t2949 () (tptp.c_Orderings_Oord__class_Oless__eq @t2944)) % 6.41/6.69 (define @t2950 () (tptp.c_Orderings_Obot__class_Obot @t2931)) % 6.41/6.69 (define @t2951 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t2944) @t73) @t100))) % 6.41/6.69 (define @t2952 () (@list @t100 @t73 @t74 @t8)) % 6.41/6.69 (define @t2953 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t8) @t2195) @t2)) % 6.41/6.69 (define @t2954 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2955 () (tptp.hAPP (tptp.hAPP @t2954 @t2953) @t51)) % 6.41/6.69 (define @t2956 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t2957 () (tptp.hAPP @t2956 @t2)) % 6.41/6.69 (define @t2958 () (tptp.hAPP @t2957 @t51)) % 6.41/6.69 (define @t2959 () (@list @t51 @t2 @t8)) % 6.41/6.69 (define @t2960 () (tptp.hAPP @t2900 @t261)) % 6.41/6.69 (define @t2961 () (tptp.hAPP @t2900 @t1054)) % 6.41/6.69 (define @t2962 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t8 @t74) @t2900) @t2)) % 6.41/6.69 (define @t2963 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t74 @t8)) % 6.41/6.69 (define @t2964 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 @t74) @t2177) @t2)) % 6.41/6.69 (define @t2965 () (tptp.hAPP @t2963 @t1)) % 6.41/6.69 (define @t2966 () (tptp.hAPP @t2963 @t2)) % 6.41/6.69 (define @t2967 () (tptp.hAPP @t2966 @t51)) % 6.41/6.69 (define @t2968 () (tptp.c_COMBB @t8 @t1969 @t74)) % 6.41/6.69 (define @t2969 () (tptp.hAPP (tptp.hAPP @t2968 @t754) @t2)) % 6.41/6.69 (define @t2970 () (tptp.c_COMBS @t74 @t8 @t8)) % 6.41/6.69 (define @t2971 () (@list @t51 @t1 @t2 @t74 @t8)) % 6.41/6.69 (define @t2972 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 6.41/6.69 (define @t2973 () (tptp.c_COMBK @t8 @t74)) % 6.41/6.69 (define @t2974 () (@list @t51 @t74 @t8)) % 6.41/6.69 (define @t2975 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t8)) % 6.41/6.69 (define @t2976 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t8)) % 6.41/6.69 (define @t2977 () (and @t1121 @t913)) % 6.41/6.69 (define @t2978 () (tptp.c_Groups_Ozero__class_Ozero @t74)) % 6.41/6.69 (define @t2979 () (= @t5 @t2978)) % 6.41/6.69 (define @t2980 () (exists @t7 (and @t363 @t2979))) % 6.41/6.69 (define @t2981 () (tptp.hAPP @t2911 @t2)) % 6.41/6.69 (define @t2982 () (tptp.hAPP @t2981 @t51)) % 6.41/6.69 (define @t2983 () (= @t2982 @t2978)) % 6.41/6.69 (define @t2984 () (tptp.class_Rings_Ocomm__semiring__1 @t74)) % 6.41/6.69 (define @t2985 () (@list @t1 @t74 @t8)) % 6.41/6.69 (define @t2986 () (tptp.c_Groups_Oone__class_Oone @t74)) % 6.41/6.69 (define @t2987 () (tptp.hAPP @t2911 @t1)) % 6.41/6.69 (define @t2988 () (tptp.hAPP @t2987 @t51)) % 6.41/6.69 (define @t2989 () (=> @t1248 (= @t2988 @t2986))) % 6.41/6.69 (define @t2990 () (@list @t1 @t51 @t8 @t74)) % 6.41/6.69 (define @t2991 () (= @t5 @t467)) % 6.41/6.69 (define @t2992 () (tptp.hBOOL (tptp.hAPP @t137 @t244))) % 6.41/6.69 (define @t2993 () (@list @t2 @t244 @t8)) % 6.41/6.69 (define @t2994 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t8 tptp.tc_Nat_Onat) @t2) @t2195)) % 6.41/6.69 (define @t2995 () (tptp.hAPP (tptp.hAPP @t2975 @t2) @t51)) % 6.41/6.69 (define @t2996 () (@list @t2 @t51 @t8)) % 6.41/6.69 (define @t2997 () (tptp.tc_fun @t74 @t1890)) % 6.41/6.69 (define @t2998 () (tptp.hAPP @t1430 @t2988)) % 6.41/6.69 (define @t2999 () (tptp.c_COMBS @t8 @t74 @t74)) % 6.41/6.69 (define @t3000 () (tptp.hAPP (tptp.hAPP @t2999 (tptp.hAPP (tptp.hAPP @t2166 @t1430) @t1)) @t1096)) % 6.41/6.69 (define @t3001 () (@list @t1096 @t1 @t51 @t8 @t74)) % 6.41/6.69 (define @t3002 () (= @t261 @t1480)) % 6.41/6.69 (define @t3003 () (tptp.hAPP @t2900 @t513)) % 6.41/6.69 (define @t3004 () (tptp.hAPP @t2900 @t1389)) % 6.41/6.69 (define @t3005 () (tptp.hBOOL (tptp.hAPP @t1100 @t5))) % 6.41/6.69 (define @t3006 () (tptp.hBOOL (tptp.hAPP @t137 @t1791))) % 6.41/6.69 (define @t3007 () (forall @t7 (=> @t3006 @t3005))) % 6.41/6.69 (define @t3008 () (tptp.hBOOL (tptp.hAPP @t1100 (tptp.hAPP @t2957 @t1791)))) % 6.41/6.69 (define @t3009 () (@list @t2 @t1791 @t8)) % 6.41/6.69 (define @t3010 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t205 @t1468)) % 6.41/6.69 (define @t3011 () (= @t3010 @t56)) % 6.41/6.69 (define @t3012 () (tptp.hAPP @t476 @t205)) % 6.41/6.69 (define @t3013 () (not (tptp.hBOOL (tptp.hAPP @t3012 @t1468)))) % 6.41/6.69 (define @t3014 () (@list @t1468 @t205 @t8)) % 6.41/6.69 (define @t3015 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t378 @t1010)) % 6.41/6.69 (define @t3016 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t1468 @t378)) % 6.41/6.69 (define @t3017 () (tptp.hAPP @t1662 @t3016)) % 6.41/6.69 (define @t3018 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t378) @t1010))) % 6.41/6.69 (define @t3019 () (tptp.hBOOL (tptp.hAPP @t2870 @t378))) % 6.41/6.69 (define @t3020 () (@list @t1010 @t378 @t1468 @t8)) % 6.41/6.69 (define @t3021 () (tptp.hAPP (tptp.hAPP @t2911 (tptp.hAPP @t2910 @t2986)) @t1791)) % 6.41/6.69 (define @t3022 () (@list @t58 @t13 @t1791 @t8 @t74)) % 6.41/6.69 (define @t3023 () (tptp.hAPP tptp.c_fequal @t13)) % 6.41/6.69 (define @t3024 () (tptp.hAPP @t2909 (tptp.hAPP (tptp.hAPP @t2908 (tptp.hAPP @t2907 @t3023)) @t58))) % 6.41/6.69 (define @t3025 () (tptp.hAPP (tptp.hAPP @t2911 (tptp.hAPP @t3024 @t2986)) @t1791)) % 6.41/6.69 (define @t3026 () (tptp.hAPP @t2889 @t1468)) % 6.41/6.69 (define @t3027 () (tptp.hAPP @t1430 @t253)) % 6.41/6.69 (define @t3028 () (tptp.hAPP @t2987 @t104)) % 6.41/6.69 (define @t3029 () (@list @t1 @t73 @t51 @t8 @t74)) % 6.41/6.69 (define @t3030 () (@list @t2 @t13 @t51 @t8 @t74)) % 6.41/6.69 (define @t3031 () (tptp.hAPP @t3027 (tptp.hAPP @t2987 @t356))) % 6.41/6.69 (define @t3032 () (@list @t73 @t1 @t51 @t8 @t74)) % 6.41/6.69 (define @t3033 () (tptp.hAPP @t2861 @t1468)) % 6.41/6.69 (define @t3034 () (tptp.hAPP tptp.c_Int_Onat @t3033)) % 6.41/6.69 (define @t3035 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t378 @t1010)) % 6.41/6.69 (define @t3036 () (tptp.hAPP @t476 @t378)) % 6.41/6.69 (define @t3037 () (tptp.hBOOL (tptp.hAPP @t3036 @t1010))) % 6.41/6.69 (define @t3038 () (tptp.hAPP @t2308 @t1463)) % 6.41/6.69 (define @t3039 () (tptp.c_Divides_Oadjust @t1463)) % 6.41/6.69 (define @t3040 () (tptp.c_Divides_OnegDivAlg @t1477 @t1463)) % 6.41/6.69 (define @t3041 () (tptp.hAPP @t1491 @t1463)) % 6.41/6.69 (define @t3042 () (tptp.hBOOL (tptp.hAPP @t1493 @t3041))) % 6.41/6.69 (define @t3043 () (tptp.hAPP @t2919 @t2847)) % 6.41/6.69 (define @t3044 () (tptp.hBOOL (tptp.hAPP @t1481 @t1463))) % 6.41/6.69 (define @t3045 () (tptp.hAPP @t2308 @t1464)) % 6.41/6.69 (define @t3046 () (tptp.c_Divides_Oadjust @t1464)) % 6.41/6.69 (define @t3047 () (tptp.c_Divides_OnegDivAlg @t1463 @t1464)) % 6.41/6.69 (define @t3048 () (tptp.hAPP (tptp.hAPP @t1394 @t1463) @t1464)) % 6.41/6.69 (define @t3049 () (tptp.hBOOL (tptp.hAPP @t1493 @t3048))) % 6.41/6.69 (define @t3050 () (tptp.hBOOL (tptp.hAPP @t1481 @t1464))) % 6.41/6.69 (define @t3051 () (tptp.c_Divides_Oadjust @t39)) % 6.41/6.69 (define @t3052 () (tptp.c_Divides_OnegDivAlg @t348 @t39)) % 6.41/6.69 (define @t3053 () (= @t3052 (tptp.hAPP @t3051 (tptp.c_Divides_OnegDivAlg @t348 @t2477)))) % 6.41/6.69 (define @t3054 () (tptp.hBOOL (tptp.hAPP @t1493 @t2508))) % 6.41/6.69 (define @t3055 () (= @t3052 (tptp.hAPP @t3043 @t2508))) % 6.41/6.69 (define @t3056 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t39) @t1480))) % 6.41/6.69 (define @t3057 () (or @t3054 @t3056)) % 6.41/6.69 (define @t3058 () (tptp.c_Divides_OposDivAlg @t1477 @t1463)) % 6.41/6.69 (define @t3059 () (tptp.hBOOL (tptp.hAPP @t1947 @t1463))) % 6.41/6.69 (define @t3060 () (tptp.hAPP @t2919 @t1480)) % 6.41/6.69 (define @t3061 () (tptp.hAPP @t3060 @t1477)) % 6.41/6.69 (define @t3062 () (tptp.hBOOL (tptp.hAPP @t391 @t100))) % 6.41/6.69 (define @t3063 () (tptp.hBOOL (tptp.hAPP @t98 @t100))) % 6.41/6.69 (define @t3064 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2945 @t51) @t289) @t73) @t100))) % 6.41/6.69 (define @t3065 () (@list @t100 @t73 @t289 @t51 @t74 @t8)) % 6.41/6.69 (define @t3066 () (not @t3062)) % 6.41/6.69 (define @t3067 () (tptp.tc_prod @t8 @t8)) % 6.41/6.69 (define @t3068 () (tptp.tc_fun @t3067 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3069 () (tptp.c_Orderings_Oord__class_Oless__eq @t3068)) % 6.41/6.69 (define @t3070 () (tptp.c_Orderings_Obot__class_Obot @t3068)) % 6.41/6.69 (define @t3071 () (tptp.hBOOL (tptp.hAPP @t1798 @t100))) % 6.41/6.69 (define @t3072 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2949 @t117) @t116))) % 6.41/6.69 (define @t3073 () (tptp.hBOOL (tptp.hAPP @t132 @t100))) % 6.41/6.69 (define @t3074 () (tptp.hAPP @t3060 @t1480)) % 6.41/6.69 (define @t3075 () (tptp.hAPP (tptp.hAPP @t2919 @t2641) @t2576)) % 6.41/6.69 (define @t3076 () (tptp.c_Divides_OposDivAlg @t1463 @t1464)) % 6.41/6.69 (define @t3077 () (tptp.hAPP @t1385 @t1463)) % 6.41/6.69 (define @t3078 () (tptp.hBOOL (tptp.hAPP @t3077 @t1464))) % 6.41/6.69 (define @t3079 () (tptp.c_Divides_OposDivAlg @t348 @t39)) % 6.41/6.69 (define @t3080 () (= @t3079 (tptp.hAPP @t3051 (tptp.c_Divides_OposDivAlg @t348 @t2477)))) % 6.41/6.69 (define @t3081 () (= @t3079 (tptp.hAPP @t3060 @t348))) % 6.41/6.69 (define @t3082 () (or @t2610 @t3056)) % 6.41/6.69 (define @t3083 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t336 @t521)) % 6.41/6.69 (define @t3084 () (tptp.hAPP (tptp.hAPP @t2830 @t336) @t521)) % 6.41/6.69 (define @t3085 () (tptp.c_Product__Type_OPair @t8 @t8)) % 6.41/6.69 (define @t3086 () (tptp.hAPP @t3085 @t3)) % 6.41/6.69 (define @t3087 () (tptp.hAPP @t3086 @t3)) % 6.41/6.69 (define @t3088 () (tptp.c_member @t3067)) % 6.41/6.69 (define @t3089 () (tptp.hAPP @t3088 @t3087)) % 6.41/6.69 (define @t3090 () (tptp.hBOOL (tptp.hAPP @t3089 @t2917))) % 6.41/6.69 (define @t3091 () (@list @t2917 @t8)) % 6.41/6.69 (define @t3092 () (tptp.tc_fun tptp.tc_Int_Oint @t2920)) % 6.41/6.69 (define @t3093 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t3092 tptp.tc_Int_Oint) @t2919)) % 6.41/6.69 (define @t3094 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.41/6.69 (define @t3095 () (tptp.hAPP (tptp.hAPP @t3094 @t1408) @t58)) % 6.41/6.69 (define @t3096 () (tptp.hAPP @t2790 @t1394)) % 6.41/6.69 (define @t3097 () (tptp.hAPP (tptp.c_COMBB @t3092 (tptp.tc_fun @t2789 @t3092) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t2920 tptp.tc_Int_Oint))) % 6.41/6.69 (define @t3098 () (tptp.c_COMBC tptp.tc_Int_Oint @t2789 @t3092)) % 6.41/6.69 (define @t3099 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.41/6.69 (define @t3100 () (tptp.tc_fun tptp.tc_Int_Oint @t2922)) % 6.41/6.69 (define @t3101 () (tptp.hAPP (tptp.c_COMBB @t3100 (tptp.tc_fun @t3092 @t3092) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t2920 @t2920))) % 6.41/6.69 (define @t3102 () (tptp.c_COMBS tptp.tc_Int_Oint @t3092 @t3092)) % 6.41/6.69 (define @t3103 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t2920)) % 6.41/6.69 (define @t3104 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t74 @t210)) % 6.41/6.69 (define @t3105 () (tptp.hAPP @t3104 @t2)) % 6.41/6.69 (define @t3106 () (tptp.hAPP @t530 @t58)) % 6.41/6.69 (define @t3107 () (tptp.c_member @t210)) % 6.41/6.69 (define @t3108 () (tptp.hAPP @t2933 @t13)) % 6.41/6.69 (define @t3109 () (tptp.hAPP @t3108 @t58)) % 6.41/6.69 (define @t3110 () (tptp.hAPP @t2936 @t3109)) % 6.41/6.69 (define @t3111 () (tptp.hAPP (tptp.hAPP @t2655 @t676) @t1505)) % 6.41/6.69 (define @t3112 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3113 () (tptp.hAPP (tptp.hAPP @t3112 tptp.c_fequal) @t1480)) % 6.41/6.69 (define @t3114 () (tptp.tc_fun @t1969 @t8)) % 6.41/6.69 (define @t3115 () (tptp.tc_fun tptp.tc_Int_Oint @t8)) % 6.41/6.69 (define @t3116 () (tptp.tc_fun tptp.tc_Int_Oint @t1969)) % 6.41/6.69 (define @t3117 () (tptp.hAPP @t2900 @t205)) % 6.41/6.69 (define @t3118 () (not @t2599)) % 6.41/6.69 (define @t3119 () (@list @t205 @t8)) % 6.41/6.69 (define @t3120 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t3121 () (tptp.c_Divides_Odivmod__nat @t521 @t336)) % 6.41/6.69 (define @t3122 () (tptp.hAPP @t2308 @t58)) % 6.41/6.69 (define @t3123 () (tptp.c_Divides_OnegDivAlg @t13 @t58)) % 6.41/6.69 (define @t3124 () (tptp.hBOOL (tptp.hAPP @t2603 @t1480))) % 6.41/6.69 (define @t3125 () (tptp.hAPP @t1394 @t13)) % 6.41/6.69 (define @t3126 () (tptp.hAPP @t3125 @t58)) % 6.41/6.69 (define @t3127 () (or (tptp.hBOOL (tptp.hAPP @t1493 @t3126)) @t3124)) % 6.41/6.69 (define @t3128 () (tptp.hAPP (tptp.hAPP @t2919 @t13) @t58)) % 6.41/6.69 (define @t3129 () (tptp.c_Wellfounded_Oaccp @t2920 tptp.c_Divides_OnegDivAlg__rel)) % 6.41/6.69 (define @t3130 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t74 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3131 () (tptp.hAPP (tptp.hAPP @t129 @t13) @t58)) % 6.41/6.69 (define @t3132 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3130 @t2) @t3109))) % 6.41/6.69 (define @t3133 () (tptp.hBOOL @t3106)) % 6.41/6.69 (define @t3134 () (tptp.c_Product__Type_OPair @t74 @t210)) % 6.41/6.69 (define @t3135 () (tptp.hAPP (tptp.hAPP @t3134 @t13) @t58)) % 6.41/6.69 (define @t3136 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t74 @t210 @t55) @t18)) % 6.41/6.69 (define @t3137 () (tptp.hAPP (tptp.hAPP @t18 @t13) @t58)) % 6.41/6.69 (define @t3138 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t74 @t2190)) % 6.41/6.69 (define @t3139 () (@list @t58 @t13 @t2 @t74 @t8)) % 6.41/6.69 (define @t3140 () (tptp.c_Wellfounded_Oaccp @t8 @t2917)) % 6.41/6.69 (define @t3141 () (tptp.hBOOL (tptp.hAPP @t3140 @t13))) % 6.41/6.69 (define @t3142 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2917 @t13) @t58))) % 6.41/6.69 (define @t3143 () (@list @t13 @t2917 @t8)) % 6.41/6.69 (define @t3144 () (tptp.hAPP @t3120 @t1074)) % 6.41/6.69 (define @t3145 () (tptp.hAPP @t3144 @t521)) % 6.41/6.69 (define @t3146 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t3147 () (tptp.tc_fun tptp.tc_Nat_Onat @t3146)) % 6.41/6.69 (define @t3148 () (tptp.c_Divides_Odivmod__nat @t378 @t281)) % 6.41/6.69 (define @t3149 () (or @t1142 @t601)) % 6.41/6.69 (define @t3150 () (@var "V_R1_2" $$unsorted)) % 6.41/6.69 (define @t3151 () (@var "V_R2_2" $$unsorted)) % 6.41/6.69 (define @t3152 () (tptp.tc_fun @t8 @t55)) % 6.41/6.69 (define @t3153 () (tptp.c_Orderings_Oord__class_Oless__eq @t3152)) % 6.41/6.69 (define @t3154 () (@list @t3151 @t3150 @t8)) % 6.41/6.69 (define @t3155 () (tptp.hAPP (tptp.hAPP @t2933 @t268) @t1302)) % 6.41/6.69 (define @t3156 () (@list @t268 @t1302)) % 6.41/6.69 (define @t3157 () (@var "V_b_H_2" $$unsorted)) % 6.41/6.69 (define @t3158 () (tptp.hAPP (tptp.hAPP @t2933 @t107) @t3157)) % 6.41/6.69 (define @t3159 () (tptp.hAPP (tptp.hAPP @t2933 @t348) @t39)) % 6.41/6.69 (define @t3160 () (tptp.hAPP @t3104 @t18)) % 6.41/6.69 (define @t3161 () (@var "V_p_2" $$unsorted)) % 6.41/6.69 (define @t3162 () (tptp.hAPP (tptp.hAPP @t3120 @t2674) @t2671)) % 6.41/6.69 (define @t3163 () (tptp.c_Product__Type_Oprod_Oprod__case @t74 @t210 @t8)) % 6.41/6.69 (define @t3164 () (tptp.hAPP @t3163 @t2)) % 6.41/6.69 (define @t3165 () (@list @t58 @t13 @t129 @t8 @t210 @t74)) % 6.41/6.69 (define @t3166 () (tptp.tc_fun @t74 @t210)) % 6.41/6.69 (define @t3167 () (@var "T_e" $$unsorted)) % 6.41/6.69 (define @t3168 () (tptp.tc_prod @t74 @t210)) % 6.41/6.69 (define @t3169 () (@var "T_d" $$unsorted)) % 6.41/6.69 (define @t3170 () (tptp.c_Divides_OposDivAlg @t13 @t58)) % 6.41/6.69 (define @t3171 () (or (tptp.hBOOL (tptp.hAPP @t2551 @t58)) @t3124)) % 6.41/6.69 (define @t3172 () (tptp.c_Wellfounded_Oaccp @t2920 tptp.c_Divides_OposDivAlg__rel)) % 6.41/6.69 (define @t3173 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t2527 @t2526))) % 6.41/6.69 (define @t3174 () (tptp.c_Divides_Odivmod__int @t348 @t39)) % 6.41/6.69 (define @t3175 () (not @t2560)) % 6.41/6.69 (define @t3176 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t2527 @t2526))) % 6.41/6.69 (define @t3177 () (tptp.hBOOL (tptp.hAPP @t1493 @t39))) % 6.41/6.69 (define @t3178 () (@var "V_a0_2" $$unsorted)) % 6.41/6.69 (define @t3179 () (tptp.hAPP (tptp.hAPP @t117 @t3178) @t176)) % 6.41/6.69 (define @t3180 () (tptp.hBOOL @t3179)) % 6.41/6.69 (define @t3181 () (tptp.hAPP @t117 @t268)) % 6.41/6.69 (define @t3182 () (tptp.hBOOL (tptp.hAPP @t3181 @t1302))) % 6.41/6.69 (define @t3183 () (tptp.hBOOL (tptp.hAPP @t3181 (tptp.hAPP @t2308 @t1302)))) % 6.41/6.69 (define @t3184 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t1302) @t1480))) % 6.41/6.69 (define @t3185 () (tptp.hAPP (tptp.hAPP @t2919 @t268) @t1302)) % 6.41/6.69 (define @t3186 () (tptp.hAPP (tptp.hAPP @t2919 @t3178) @t176)) % 6.41/6.69 (define @t3187 () (@list @t117 @t176 @t3178)) % 6.41/6.69 (define @t3188 () (tptp.hAPP (tptp.hAPP @t3120 @t1594) @t1232)) % 6.41/6.69 (define @t3189 () (@list @t333 @t1232 @t1594 @t39 @t348)) % 6.41/6.69 (define @t3190 () (@var "V_qr_H" $$unsorted)) % 6.41/6.69 (define @t3191 () (@var "V_qr" $$unsorted)) % 6.41/6.69 (define @t3192 () (tptp.c_Divides_Odivmod__nat__rel @t521 @t336)) % 6.41/6.69 (define @t3193 () (tptp.hBOOL (tptp.hAPP @t3192 @t3191))) % 6.41/6.69 (define @t3194 () (tptp.hBOOL (tptp.hAPP @t3192 @t3188))) % 6.41/6.69 (define @t3195 () (@list @t1232 @t1594 @t336 @t521)) % 6.41/6.69 (define @t3196 () (tptp.hAPP @t2919 @t1594)) % 6.41/6.69 (define @t3197 () (tptp.hAPP @t3196 @t1232)) % 6.41/6.69 (define @t3198 () (@var "V_br" $$unsorted)) % 6.41/6.69 (define @t3199 () (@var "V_ar" $$unsorted)) % 6.41/6.69 (define @t3200 () (tptp.hAPP (tptp.hAPP @t553 @t3199) @t3198)) % 6.41/6.69 (define @t3201 () (@var "V_bq" $$unsorted)) % 6.41/6.69 (define @t3202 () (@var "V_aq" $$unsorted)) % 6.41/6.69 (define @t3203 () (tptp.c_Divides_Odivmod__nat__rel @t39 @t333)) % 6.41/6.69 (define @t3204 () (@list @t3198 @t3201 @t39 @t3199 @t3202 @t333 @t348)) % 6.41/6.69 (define @t3205 () (tptp.hAPP @t2667 @t1232)) % 6.41/6.69 (define @t3206 () (@list @t348 @t1232 @t1594 @t333 @t39)) % 6.41/6.69 (define @t3207 () (tptp.hAPP (tptp.hAPP @t2919 @t60) @t638)) % 6.41/6.69 (define @t3208 () (tptp.tc_fun tptp.tc_Int_Oint @t1890)) % 6.41/6.69 (define @t3209 () (tptp.c_Product__Type_OPair @t3208 @t2920)) % 6.41/6.69 (define @t3210 () (tptp.c_Wellfounded_Oaccp (tptp.tc_prod @t3208 @t2920) tptp.c_Smallcheck_Osmall_H__rel)) % 6.41/6.69 (define @t3211 () (tptp.c_Divides_Odivmod__int__rel @t348 @t39)) % 6.41/6.69 (define @t3212 () (tptp.hBOOL (tptp.hAPP @t3211 @t3197))) % 6.41/6.69 (define @t3213 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t8) tptp.c_Int_Onat) @t2)) % 6.41/6.69 (define @t3214 () (forall @t7 (=> @t363 (tptp.c_Nat__Transfer_Ois__nat @t5)))) % 6.41/6.69 (define @t3215 () (tptp.hBOOL (tptp.hAPP @t3211 (tptp.hAPP (tptp.hAPP @t2919 @t1603) @t1606)))) % 6.41/6.69 (define @t3216 () (@list @t1606 @t1603 @t1232 @t1594 @t39 @t348)) % 6.41/6.69 (define @t3217 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t348 @t348) @t3197))) % 6.41/6.69 (define @t3218 () (@list @t1232 @t1594 @t348)) % 6.41/6.69 (define @t3219 () (@list @t1232 @t1594 @t39 @t348)) % 6.41/6.69 (define @t3220 () (tptp.hAPP (tptp.hAPP @t1394 @t3199) @t3198)) % 6.41/6.69 (define @t3221 () (not (= @t333 @t1480))) % 6.41/6.69 (define @t3222 () (tptp.c_Divides_Odivmod__int__rel @t39 @t333)) % 6.41/6.69 (define @t3223 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t2917) @t1480))) % 6.41/6.69 (define @t3224 () (tptp.hAPP @t1409 @t2748)) % 6.41/6.69 (define @t3225 () (tptp.hAPP @t1409 @t13)) % 6.41/6.69 (define @t3226 () (tptp.c_Divides_Odivmod__int__rel @t13 @t58)) % 6.41/6.69 (define @t3227 () (tptp.hAPP @t1953 (tptp.hAPP @t1955 @t1493))) % 6.41/6.69 (define @t3228 () (tptp.tc_fun tptp.tc_Int_Oint @t1632)) % 6.41/6.69 (define @t3229 () (tptp.tc_fun @t1897 @t1897)) % 6.41/6.69 (define @t3230 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3231 () (tptp.hAPP @t1597 @t1232)) % 6.41/6.69 (define @t3232 () (@var "B_f" $$unsorted)) % 6.41/6.69 (define @t3233 () (tptp.hAPP (tptp.hAPP @t117 @t3232) @t1283)) % 6.41/6.69 (define @t3234 () (tptp.hAPP (tptp.hAPP @t1394 @t1332) @t1477)) % 6.41/6.69 (define @t3235 () (tptp.hAPP @t3232 @t1332)) % 6.41/6.69 (define @t3236 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1283) @t1332)))) % 6.41/6.69 (define @t3237 () (tptp.hAPP (tptp.hAPP @t2919 @t1283) @t1332)) % 6.41/6.69 (define @t3238 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t1478 @t1466))) % 6.41/6.69 (define @t3239 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.41/6.69 (define @t3240 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1477 @t1463)) % 6.41/6.69 (define @t3241 () (tptp.hBOOL (tptp.hAPP @t3077 @t1480))) % 6.41/6.69 (define @t3242 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t115) @t1676))) % 6.41/6.69 (define @t3243 () (tptp.c_Wellfounded_Omeasure @t8)) % 6.41/6.69 (define @t3244 () (tptp.hAPP @t3243 @t2)) % 6.41/6.69 (define @t3245 () (tptp.hAPP @t3085 @t73)) % 6.41/6.69 (define @t3246 () (tptp.hAPP @t3088 (tptp.hAPP @t3245 @t100))) % 6.41/6.69 (define @t3247 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.41/6.69 (define @t3248 () (tptp.hAPP @t2777 @t1463)) % 6.41/6.69 (define @t3249 () (tptp.c_Product__Type_Osnd @t8 @t74)) % 6.41/6.69 (define @t3250 () (tptp.c_Product__Type_Ofst @t8 @t74)) % 6.41/6.69 (define @t3251 () (tptp.c_Product__Type_OPair @t74 @t8)) % 6.41/6.69 (define @t3252 () (tptp.c_Product__Type_Osnd @t74 @t8)) % 6.41/6.69 (define @t3253 () (tptp.hAPP @t3249 @t2691)) % 6.41/6.69 (define @t3254 () (tptp.hAPP @t3250 @t2691)) % 6.41/6.69 (define @t3255 () (tptp.hAPP (tptp.hAPP @t2933 @t95) @t284)) % 6.41/6.69 (define @t3256 () (tptp.c_Product__Type_Osnd @t74 @t210)) % 6.41/6.69 (define @t3257 () (tptp.hAPP @t3256 @t3161)) % 6.41/6.69 (define @t3258 () (tptp.c_Product__Type_Ofst @t74 @t210)) % 6.41/6.69 (define @t3259 () (tptp.hAPP @t3258 @t3161)) % 6.41/6.69 (define @t3260 () (tptp.hAPP @t3250 @t3161)) % 6.41/6.69 (define @t3261 () (tptp.hAPP @t3249 @t3161)) % 6.41/6.69 (define @t3262 () (tptp.hAPP (tptp.hAPP @t2933 @t3161) @t2748)) % 6.41/6.69 (define @t3263 () (tptp.hAPP @t3251 @t73)) % 6.41/6.69 (define @t3264 () (tptp.hAPP @t3263 @t100)) % 6.41/6.69 (define @t3265 () (tptp.c_Product__Type_Ofst @t74 @t8)) % 6.41/6.69 (define @t3266 () (tptp.hAPP @t117 @t100)) % 6.41/6.69 (define @t3267 () (tptp.tc_fun tptp.tc_Int_Oint @t1897)) % 6.41/6.69 (define @t3268 () (tptp.c_COMBB @t1897 @t1897 tptp.tc_Int_Oint)) % 6.41/6.69 (define @t3269 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t3270 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t3271 () (@var "V_qr_2" $$unsorted)) % 6.41/6.69 (define @t3272 () (tptp.hAPP @t3270 @t3271)) % 6.41/6.69 (define @t3273 () (tptp.hAPP @t3269 @t3271)) % 6.41/6.69 (define @t3274 () (tptp.c_Divides_Odivmod__nat__rel @t378 @t281)) % 6.41/6.69 (define @t3275 () (tptp.c_Nitpick_Onorm__frac @t13 @t58)) % 6.41/6.69 (define @t3276 () (or (= @t13 @t1480) (= @t58 @t1480))) % 6.41/6.69 (define @t3277 () (and (=> @t2559 (= @t3275 (tptp.c_Nitpick_Onorm__frac @t3225 (tptp.hAPP @t1409 @t58)))) (=> (not @t2559) (and (=> @t3276 (= @t3275 @t3061)) (=> (not @t3276) (= @t3275 (tptp.hAPP (tptp.hAPP @t2925 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t13) @t58)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t2920) (tptp.hAPP @t3093 @t2552)) (tptp.hAPP @t2484 @t58))))))))) % 6.41/6.69 (define @t3278 () (tptp.c_Wellfounded_Oaccp @t2920 tptp.c_Nitpick_Onorm__frac__rel)) % 6.41/6.69 (define @t3279 () (tptp.c_Wellfounded_Omlex__prod @t8 @t2 @t201)) % 6.41/6.69 (define @t3280 () (tptp.hBOOL (tptp.hAPP @t3246 @t3279))) % 6.41/6.69 (define @t3281 () (tptp.hBOOL (tptp.hAPP @t3246 @t201))) % 6.41/6.69 (define @t3282 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t115) @t1676))) % 6.41/6.69 (define @t3283 () (@list @t201 @t8 @t100 @t73 @t2)) % 6.41/6.69 (define @t3284 () (tptp.c_Product__Type_OPair @t74 @t74)) % 6.41/6.69 (define @t3285 () (tptp.tc_prod @t74 @t74)) % 6.41/6.69 (define @t3286 () (tptp.c_member @t3285)) % 6.41/6.69 (define @t3287 () (tptp.hAPP @t3085 @t13)) % 6.41/6.69 (define @t3288 () (tptp.c_Product__Type_OPair @t2930 @t2930)) % 6.41/6.69 (define @t3289 () (tptp.c_member (tptp.tc_prod @t2930 @t2930))) % 6.41/6.69 (define @t3290 () (tptp.c_Wellfounded_Ofinite__psubset @t8)) % 6.41/6.69 (define @t3291 () (tptp.c_Product__Type_OPair @t55 @t55)) % 6.41/6.69 (define @t3292 () (tptp.tc_prod @t55 @t55)) % 6.41/6.69 (define @t3293 () (tptp.c_member @t3292)) % 6.41/6.69 (define @t3294 () (tptp.hAPP @t3293 (tptp.hAPP (tptp.hAPP @t3291 @t51) @t289))) % 6.41/6.69 (define @t3295 () (tptp.c_Recdef_Osame__fst @t8 @t74 @t117 @t201)) % 6.41/6.69 (define @t3296 () (@var "V_y_H_2" $$unsorted)) % 6.41/6.69 (define @t3297 () (tptp.hAPP @t201 @t73)) % 6.41/6.69 (define @t3298 () (tptp.hAPP @t2981 @t354)) % 6.41/6.69 (define @t3299 () (tptp.c_Rings_Oinverse__class_Odivide @t74)) % 6.41/6.69 (define @t3300 () (tptp.hAPP @t3299 @t2982)) % 6.41/6.69 (define @t3301 () (tptp.class_Fields_Ofield @t74)) % 6.41/6.69 (define @t3302 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t3303 () (tptp.tc_fun @t1900 @t1900)) % 6.41/6.69 (define @t3304 () (tptp.tc_fun tptp.tc_Nat_Onat @t3303)) % 6.41/6.69 (define @t3305 () (tptp.tc_fun tptp.tc_Nat_Onat @t1900)) % 6.41/6.69 (define @t3306 () (tptp.hAPP tptp.c_Int_ORep__Integ @t261)) % 6.41/6.69 (define @t3307 () (tptp.c_Product__Type_OPair @t3146 @t3146)) % 6.41/6.69 (define @t3308 () (tptp.tc_prod @t3146 @t3146)) % 6.41/6.69 (define @t3309 () (tptp.c_member @t3308)) % 6.41/6.69 (define @t3310 () (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3307 (tptp.hAPP (tptp.hAPP @t3120 @t13) @t428)) (tptp.hAPP (tptp.hAPP @t3120 @t58) @t33)))) % 6.41/6.69 (define @t3311 () (tptp.hBOOL (tptp.hAPP @t3310 tptp.c_FunDef_Opair__less))) % 6.41/6.69 (define @t3312 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t13) @t58))) % 6.41/6.69 (define @t3313 () (@list @t33 @t428 @t58 @t13)) % 6.41/6.69 (define @t3314 () (tptp.c_Rings_Oinverse__class_Odivide @t8)) % 6.41/6.69 (define @t3315 () (tptp.hAPP (tptp.hAPP @t3314 @t39) @t333)) % 6.41/6.69 (define @t3316 () (tptp.hAPP @t3314 @t348)) % 6.41/6.69 (define @t3317 () (tptp.hAPP @t3316 @t333)) % 6.41/6.69 (define @t3318 () (tptp.class_Rings_Odivision__ring @t8)) % 6.41/6.69 (define @t3319 () (tptp.hAPP @t3316 @t39)) % 6.41/6.69 (define @t3320 () (= (tptp.hAPP (tptp.hAPP @t2648 @t3319) @t336) (tptp.hAPP (tptp.hAPP @t3314 @t2761) @t2792))) % 6.41/6.69 (define @t3321 () (tptp.class_Fields_Ofield__inverse__zero @t8)) % 6.41/6.69 (define @t3322 () (tptp.hAPP tptp.c_Int_ORep__Integ @t73)) % 6.41/6.69 (define @t3323 () (tptp.hAPP @t3314 @t785)) % 6.41/6.69 (define @t3324 () (tptp.hAPP @t784 @t3319)) % 6.41/6.69 (define @t3325 () (tptp.hAPP @t3314 @t686)) % 6.41/6.69 (define @t3326 () (tptp.class_Rings_Odivision__ring__inverse__zero @t8)) % 6.41/6.69 (define @t3327 () (= @t1062 @t58)) % 6.41/6.69 (define @t3328 () (tptp.hAPP @t3314 @t58)) % 6.41/6.69 (define @t3329 () (tptp.hAPP @t3328 @t18)) % 6.41/6.69 (define @t3330 () (= @t13 @t3329)) % 6.41/6.69 (define @t3331 () (= @t18 @t1082)) % 6.41/6.69 (define @t3332 () (not @t3331)) % 6.41/6.69 (define @t3333 () (= @t58 @t1062)) % 6.41/6.69 (define @t3334 () (= @t3329 @t13)) % 6.41/6.69 (define @t3335 () (@list @t13 @t58 @t18 @t8)) % 6.41/6.69 (define @t3336 () (tptp.hAPP (tptp.hAPP @t3314 @t13) @t58)) % 6.41/6.69 (define @t3337 () (tptp.hAPP @t3316 @t348)) % 6.41/6.69 (define @t3338 () (=> @t1131 (= @t3337 @t675))) % 6.41/6.69 (define @t3339 () (= (tptp.hAPP @t3323 @t786) @t3319)) % 6.41/6.69 (define @t3340 () (= @t3324 (tptp.hAPP @t3316 @t786))) % 6.41/6.69 (define @t3341 () (tptp.class_Fields_Ofield @t8)) % 6.41/6.69 (define @t3342 () (tptp.hAPP @t3314 @t675)) % 6.41/6.69 (define @t3343 () (@list @t1 @t2 @t51 @t8 @t74)) % 6.41/6.69 (define @t3344 () (= @t1373 @t1082)) % 6.41/6.69 (define @t3345 () (=> @t3344 @t1122)) % 6.41/6.69 (define @t3346 () (tptp.hAPP @t792 @t1373)) % 6.41/6.69 (define @t3347 () (not @t3344)) % 6.41/6.69 (define @t3348 () (tptp.hAPP @t3328 @t1373)) % 6.41/6.69 (define @t3349 () (and @t3321 @t1374)) % 6.41/6.69 (define @t3350 () (@list @t13 @t1054 @t58 @t8)) % 6.41/6.69 (define @t3351 () (=> @t3331 @t3344)) % 6.41/6.69 (define @t3352 () (tptp.hAPP (tptp.hAPP @t754 @t1373) @t18)) % 6.41/6.69 (define @t3353 () (@list @t1054 @t18 @t58 @t8)) % 6.41/6.69 (define @t3354 () (@list @t18 @t58 @t1054 @t8)) % 6.41/6.69 (define @t3355 () (@list @t1054 @t58 @t13 @t8)) % 6.41/6.69 (define @t3356 () (tptp.hAPP @t3314 @t95)) % 6.41/6.69 (define @t3357 () (and @t3321 @t1378)) % 6.41/6.69 (define @t3358 () (and @t3341 @t1378)) % 6.41/6.69 (define @t3359 () (tptp.hBOOL (tptp.hAPP @t1426 @t1082))) % 6.41/6.69 (define @t3360 () (not @t3359)) % 6.41/6.69 (define @t3361 () (tptp.hBOOL (tptp.hAPP @t892 @t3346))) % 6.41/6.69 (define @t3362 () (tptp.hBOOL (tptp.hAPP @t1204 @t1373))) % 6.41/6.69 (define @t3363 () (not @t3362)) % 6.41/6.69 (define @t3364 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t3346) @t58))) % 6.41/6.69 (define @t3365 () (tptp.class_Fields_Olinordered__field__inverse__zero @t8)) % 6.41/6.69 (define @t3366 () (and @t3365 @t1374)) % 6.41/6.69 (define @t3367 () (not @t1213)) % 6.41/6.69 (define @t3368 () (tptp.hBOOL (tptp.hAPP @t892 @t3352))) % 6.41/6.69 (define @t3369 () (not @t1214)) % 6.41/6.69 (define @t3370 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t3352) @t58))) % 6.41/6.69 (define @t3371 () (tptp.hAPP @t476 @t3329)) % 6.41/6.69 (define @t3372 () (tptp.hBOOL (tptp.hAPP @t807 @t3346))) % 6.41/6.69 (define @t3373 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3346) @t58))) % 6.41/6.69 (define @t3374 () (tptp.hAPP @t777 @t1373)) % 6.41/6.69 (define @t3375 () (tptp.hBOOL (tptp.hAPP @t807 @t3352))) % 6.41/6.69 (define @t3376 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3352) @t58))) % 6.41/6.69 (define @t3377 () (tptp.hAPP @t777 @t3329)) % 6.41/6.69 (define @t3378 () (and @t3365 @t1378)) % 6.41/6.69 (define @t3379 () (tptp.hBOOL (tptp.hAPP @t807 @t1062))) % 6.41/6.69 (define @t3380 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1062) @t58))) % 6.41/6.69 (define @t3381 () (tptp.hBOOL (tptp.hAPP @t797 @t3329))) % 6.41/6.69 (define @t3382 () (tptp.hBOOL (tptp.hAPP @t3377 @t13))) % 6.41/6.69 (define @t3383 () (@list @t13 @t18 @t58 @t8)) % 6.41/6.69 (define @t3384 () (tptp.class_Fields_Olinordered__field @t8)) % 6.41/6.69 (define @t3385 () (tptp.hAPP @t3356 @t284)) % 6.41/6.69 (define @t3386 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t3317) @t3315))) % 6.41/6.69 (define @t3387 () (tptp.hBOOL (tptp.hAPP @t1204 @t3385))) % 6.41/6.69 (define @t3388 () (tptp.hBOOL (tptp.hAPP @t487 @t1082))) % 6.41/6.69 (define @t3389 () (tptp.hBOOL (tptp.hAPP @t477 @t1082))) % 6.41/6.69 (define @t3390 () (tptp.hAPP @t476 @t3385)) % 6.41/6.69 (define @t3391 () (tptp.hBOOL (tptp.hAPP @t3390 @t1082))) % 6.41/6.69 (define @t3392 () (tptp.hBOOL (tptp.hAPP @t1204 @t284))) % 6.41/6.69 (define @t3393 () (tptp.hBOOL (tptp.hAPP @t1204 @t58))) % 6.41/6.69 (define @t3394 () (tptp.hBOOL (tptp.hAPP @t892 @t1082))) % 6.41/6.69 (define @t3395 () (=> @t3331 @t1122)) % 6.41/6.69 (define @t3396 () (tptp.hBOOL (tptp.hAPP @t1083 @t3385))) % 6.41/6.69 (define @t3397 () (tptp.hBOOL (tptp.hAPP @t778 @t1082))) % 6.41/6.69 (define @t3398 () (tptp.hAPP @t777 @t3385)) % 6.41/6.69 (define @t3399 () (tptp.hBOOL (tptp.hAPP @t3398 @t1082))) % 6.41/6.69 (define @t3400 () (tptp.hAPP @t3314 @t284)) % 6.41/6.69 (define @t3401 () (tptp.hAPP @t3400 @t1389)) % 6.41/6.69 (define @t3402 () (tptp.hAPP @t3356 @t513)) % 6.41/6.69 (define @t3403 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1389) @t513))) % 6.41/6.69 (define @t3404 () (tptp.hBOOL (tptp.hAPP @t1204 @t1389))) % 6.41/6.69 (define @t3405 () (@list @t513 @t1389 @t284 @t95 @t8)) % 6.41/6.69 (define @t3406 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t3402) @t3401))) % 6.41/6.69 (define @t3407 () (tptp.hAPP @t3314 @t333)) % 6.41/6.69 (define @t3408 () (tptp.hAPP @t3407 @t39)) % 6.41/6.69 (define @t3409 () (tptp.hAPP @t3407 @t348)) % 6.41/6.69 (define @t3410 () (=> @t1221 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t3409) @t3408)))) % 6.41/6.69 (define @t3411 () (tptp.hBOOL (tptp.hAPP @t1216 @t58))) % 6.41/6.69 (define @t3412 () (tptp.hBOOL (tptp.hAPP @t3371 @t13))) % 6.41/6.69 (define @t3413 () (tptp.hBOOL (tptp.hAPP @t892 @t1062))) % 6.41/6.69 (define @t3414 () (tptp.hBOOL (tptp.hAPP @t690 @t3329))) % 6.41/6.69 (define @t3415 () (tptp.hAPP @t2406 @t284)) % 6.41/6.69 (define @t3416 () (tptp.hAPP @t3314 (tptp.hAPP @t1027 @t3415))) % 6.41/6.69 (define @t3417 () (tptp.hAPP @t3416 @t284)) % 6.41/6.69 (define @t3418 () (not (= @t284 @t1082))) % 6.41/6.69 (define @t3419 () (tptp.hAPP @t2406 @t95)) % 6.41/6.69 (define @t3420 () (tptp.hAPP @t3400 @t513)) % 6.41/6.69 (define @t3421 () (not (= @t513 @t1082))) % 6.41/6.69 (define @t3422 () (@list @t284 @t95 @t513 @t8)) % 6.41/6.69 (define @t3423 () (tptp.hAPP @t676 @t3385)) % 6.41/6.69 (define @t3424 () (tptp.hAPP @t1271 @t513)) % 6.41/6.69 (define @t3425 () (tptp.hAPP (tptp.hAPP @t754 @t1389) @t284)) % 6.41/6.69 (define @t3426 () (tptp.hAPP (tptp.hAPP @t3314 @t1389) @t513)) % 6.41/6.69 (define @t3427 () (@list @t1389 @t95 @t513 @t284 @t8)) % 6.41/6.69 (define @t3428 () (tptp.hAPP @t3325 @t1067)) % 6.41/6.69 (define @t3429 () (=> @t1221 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3409) @t3408)))) % 6.41/6.69 (define @t3430 () (tptp.hBOOL (tptp.hAPP @t3310 tptp.c_FunDef_Opair__leq))) % 6.41/6.69 (define @t3431 () (tptp.c_Set_Oinsert @t3146)) % 6.41/6.69 (define @t3432 () (tptp.hAPP @t3431 @t73)) % 6.41/6.69 (define @t3433 () (tptp.tc_fun @t3146 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3434 () (tptp.c_Product__Type_OPair @t3433 @t3433)) % 6.41/6.69 (define @t3435 () (tptp.tc_prod @t3433 @t3433)) % 6.41/6.69 (define @t3436 () (tptp.c_member @t3435)) % 6.41/6.69 (define @t3437 () (tptp.hAPP @t3434 @t138)) % 6.41/6.69 (define @t3438 () (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3307 @t73) @t100))) % 6.41/6.69 (define @t3439 () (tptp.hBOOL (tptp.hAPP @t3438 tptp.c_FunDef_Opair__less))) % 6.41/6.69 (define @t3440 () (tptp.c_member @t3146)) % 6.41/6.69 (define @t3441 () (tptp.hAPP @t3440 @t100)) % 6.41/6.69 (define @t3442 () (@var "V_YS_2" $$unsorted)) % 6.41/6.69 (define @t3443 () (tptp.hAPP @t3431 @t100)) % 6.41/6.69 (define @t3444 () (@var "V_XS_2" $$unsorted)) % 6.41/6.69 (define @t3445 () (tptp.hAPP @t3434 @t3444)) % 6.41/6.69 (define @t3446 () (tptp.hAPP @t3436 (tptp.hAPP @t3445 (tptp.hAPP @t3443 @t3442)))) % 6.41/6.69 (define @t3447 () (tptp.hAPP @t3436 (tptp.hAPP @t3445 @t3442))) % 6.41/6.69 (define @t3448 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3440 @t73) @t3444))) % 6.41/6.69 (define @t3449 () (@list @t3442 @t100 @t3444 @t73)) % 6.41/6.69 (define @t3450 () (tptp.c_Orderings_Obot__class_Obot @t3433)) % 6.41/6.69 (define @t3451 () (tptp.hAPP @t3436 (tptp.hAPP @t3437 @t3450))) % 6.41/6.69 (define @t3452 () (@list @t138)) % 6.41/6.69 (define @t3453 () (tptp.hAPP @t3434 @t3450)) % 6.41/6.69 (define @t3454 () (tptp.c_Finite__Set_Ofinite @t3146)) % 6.41/6.69 (define @t3455 () (tptp.hBOOL (tptp.hAPP @t3438 tptp.c_FunDef_Opair__leq))) % 6.41/6.69 (define @t3456 () (tptp.tc_fun @t3435 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3457 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3435) (tptp.hAPP @t3453 @t3450)) (tptp.c_Orderings_Obot__class_Obot @t3456))) % 6.41/6.69 (define @t3458 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3456)) % 6.41/6.69 (define @t3459 () (tptp.c_Product__Type_OPair @t3456 @t3456)) % 6.41/6.69 (define @t3460 () (tptp.c_Wellfounded_Omax__ext @t8 @t201)) % 6.41/6.69 (define @t3461 () (tptp.tc_fun @t3068 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3462 () (tptp.hAPP (tptp.c_COMBB @t3067 @t3461 @t8) @t3088)) % 6.41/6.69 (define @t3463 () (tptp.tc_fun @t8 @t3461)) % 6.41/6.69 (define @t3464 () (tptp.tc_fun @t8 @t3067)) % 6.41/6.69 (define @t3465 () (tptp.c_COMBC @t8 @t3068 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3466 () (tptp.hAPP (tptp.c_COMBC @t8 @t3068 @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3463 (tptp.tc_fun @t3068 @t55) @t8) @t3465) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3464 @t3463 @t8) @t3462) @t3085)))) % 6.41/6.69 (define @t3467 () (tptp.hAPP (tptp.hAPP @t3120 @t73) @t100)) % 6.41/6.69 (define @t3468 () (tptp.hAPP (tptp.hAPP @t553 @t1010) @t100)) % 6.41/6.69 (define @t3469 () (tptp.hAPP @t553 @t73)) % 6.41/6.69 (define @t3470 () (tptp.hAPP @t3469 @t240)) % 6.41/6.69 (define @t3471 () (tptp.hAPP (tptp.hAPP @t3120 @t1010) @t240)) % 6.41/6.69 (define @t3472 () (@list @t240 @t1010 @t100 @t73)) % 6.41/6.69 (define @t3473 () (tptp.c_FunDef_Orp__inv__image @t8 @t74)) % 6.41/6.69 (define @t3474 () (tptp.c_FunDef_Oreduction__pair @t8 @t117)) % 6.41/6.69 (define @t3475 () (@list @t2 @t74 @t117 @t8)) % 6.41/6.69 (define @t3476 () (tptp.tc_prod tptp.tc_Nat_Onat @t8)) % 6.41/6.69 (define @t3477 () (tptp.c_Relation_Oinv__image @t8 @t74)) % 6.41/6.69 (define @t3478 () (tptp.tc_fun @t3285 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3479 () (tptp.tc_prod @t3478 @t3478)) % 6.41/6.69 (define @t3480 () (tptp.tc_fun @t3478 @t3479)) % 6.41/6.69 (define @t3481 () (tptp.tc_fun @t75 @t3480)) % 6.41/6.69 (define @t3482 () (tptp.tc_fun @t75 @t3478)) % 6.41/6.69 (define @t3483 () (tptp.tc_fun @t75 @t3479)) % 6.41/6.69 (define @t3484 () (tptp.tc_fun @t3482 @t3483)) % 6.41/6.69 (define @t3485 () (tptp.tc_fun @t3068 @t3483)) % 6.41/6.69 (define @t3486 () (tptp.tc_fun @t3068 @t3482)) % 6.41/6.69 (define @t3487 () (@var "V_T_2" $$unsorted)) % 6.41/6.69 (define @t3488 () (tptp.hAPP @t2981 @t3487)) % 6.41/6.69 (define @t3489 () (tptp.hAPP @t2981 @t1791)) % 6.41/6.69 (define @t3490 () (= @t5 @t2986)) % 6.41/6.69 (define @t3491 () (tptp.hBOOL (tptp.hAPP @t137 (tptp.hAPP (tptp.hAPP @t309 @t3487) @t1791)))) % 6.41/6.69 (define @t3492 () (forall @t7 (=> @t3491 @t3490))) % 6.41/6.69 (define @t3493 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t1791) @t3487))) % 6.41/6.69 (define @t3494 () (tptp.hBOOL (tptp.hAPP @t182 @t3487))) % 6.41/6.69 (define @t3495 () (@list @t2 @t1791 @t3487 @t8 @t74)) % 6.41/6.69 (define @t3496 () (tptp.c_Relation_Oinv__image @t74 @t8)) % 6.41/6.69 (define @t3497 () (tptp.hAPP (tptp.hAPP @t3496 @t2917) @t2)) % 6.41/6.69 (define @t3498 () (tptp.hBOOL (tptp.hAPP @t1100 @t427))) % 6.41/6.69 (define @t3499 () (tptp.hAPP @t2676 @t2284)) % 6.41/6.69 (define @t3500 () (tptp.c_Set_OPow @t8)) % 6.41/6.69 (define @t3501 () (tptp.hAPP @t3500 @t51)) % 6.41/6.69 (define @t3502 () (tptp.c_Finite__Set_Ocard @t55)) % 6.41/6.69 (define @t3503 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t378 @t1010)) % 6.41/6.69 (define @t3504 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t1468 @t378)) % 6.41/6.69 (define @t3505 () (tptp.hAPP @t1662 @t3504)) % 6.41/6.69 (define @t3506 () (tptp.hBOOL (tptp.hAPP @t2897 @t378))) % 6.41/6.69 (define @t3507 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1468 @t1010)) % 6.41/6.69 (define @t3508 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1468 @t1010)) % 6.41/6.69 (define @t3509 () (tptp.hAPP @t3500 @t289)) % 6.41/6.69 (define @t3510 () (tptp.c_member @t55)) % 6.41/6.69 (define @t3511 () (tptp.hAPP @t3510 @t51)) % 6.41/6.69 (define @t3512 () (tptp.hBOOL (tptp.hAPP @t3511 @t3509))) % 6.41/6.69 (define @t3513 () (tptp.tc_fun @t55 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3514 () (tptp.c_Orderings_Obot__class_Obot @t3513)) % 6.41/6.69 (define @t3515 () (tptp.c_Set_Oinsert @t55)) % 6.41/6.69 (define @t3516 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3513)) % 6.41/6.69 (define @t3517 () (tptp.hAPP @t3516 @t3501)) % 6.41/6.69 (define @t3518 () (tptp.c_Orderings_Oord__class_Oless__eq @t3513)) % 6.41/6.69 (define @t3519 () (tptp.hAPP tptp.c_Nat_OSuc @t637)) % 6.41/6.69 (define @t3520 () (tptp.hAPP tptp.c_Nat_OSuc @t638)) % 6.41/6.69 (define @t3521 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t638 @t637)) % 6.41/6.69 (define @t3522 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 6.41/6.69 (define @t3523 () (@list @t637 @t638)) % 6.41/6.69 (define @t3524 () (@list @t3232)) % 6.41/6.69 (define @t3525 () (tptp.hAPP (tptp.c_Set_Oimage @t273 @t55 @t1093) (tptp.hAPP (tptp.c_Set_OPow @t74) @t51))) % 6.41/6.69 (define @t3526 () (tptp.c_Finite__Set_Ofinite @t55)) % 6.41/6.69 (define @t3527 () (tptp.hAPP @t553 @t637)) % 6.41/6.69 (define @t3528 () (tptp.hAPP @t3527 @t205)) % 6.41/6.69 (define @t3529 () (tptp.hAPP @t2027 @t553)) % 6.41/6.69 (define @t3530 () (tptp.hAPP @t3529 @t205)) % 6.41/6.69 (define @t3531 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3530)) % 6.41/6.69 (define @t3532 () (@list @t637 @t638 @t205)) % 6.41/6.69 (define @t3533 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t378 @t281)) % 6.41/6.69 (define @t3534 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t3513 @t74) @t3500) @t289)) % 6.41/6.69 (define @t3535 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t73 @t100))) % 6.41/6.69 (define @t3536 () (not @t798)) % 6.41/6.69 (define @t3537 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t58)) % 6.41/6.69 (define @t3538 () (= @t3537 @t56)) % 6.41/6.69 (define @t3539 () (tptp.hBOOL (tptp.hAPP @t807 @t60))) % 6.41/6.69 (define @t3540 () (tptp.hBOOL (tptp.hAPP @t890 @t13))) % 6.41/6.69 (define @t3541 () (and @t3540 @t3539)) % 6.41/6.69 (define @t3542 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t18 @t60)) % 6.41/6.69 (define @t3543 () (tptp.hAPP tptp.c_Nat_OSuc @t1010)) % 6.41/6.69 (define @t3544 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t378 @t282)) % 6.41/6.69 (define @t3545 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t1468 @t1010)) % 6.41/6.69 (define @t3546 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t1468 @t378)) % 6.41/6.69 (define @t3547 () (tptp.hAPP @t1662 @t3546)) % 6.41/6.69 (define @t3548 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t638 @t637)) % 6.41/6.69 (define @t3549 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t637) @t638))) % 6.41/6.69 (define @t3550 () (tptp.hAPP @t1662 (tptp.hAPP (tptp.hAPP @t52 @t1468) @t56))) % 6.41/6.69 (define @t3551 () (tptp.hBOOL (tptp.hAPP @t2870 @t1010))) % 6.41/6.69 (define @t3552 () (tptp.hAPP @t2063 @t454)) % 6.41/6.69 (define @t3553 () (tptp.hAPP @t1380 @t33)) % 6.41/6.69 (define @t3554 () (tptp.hBOOL (tptp.hAPP @t3553 @t3))) % 6.41/6.69 (define @t3555 () (@var "B_xb" $$unsorted)) % 6.41/6.69 (define @t3556 () (tptp.hAPP @t2338 @t3555)) % 6.41/6.69 (define @t3557 () (@list @t3555)) % 6.41/6.69 (define @t3558 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1477 @t454)) % 6.41/6.69 (define @t3559 () (tptp.hAPP @t2338 @t2327)) % 6.41/6.69 (define @t3560 () (tptp.hBOOL (tptp.hAPP @t3559 @t3558))) % 6.41/6.69 (define @t3561 () (forall @t2329 (=> @t3560 (forall @t3557 (=> (tptp.hBOOL (tptp.hAPP @t3556 @t289)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t1394 @t3555) @t2327)))))))) % 6.41/6.69 (define @t3562 () (tptp.hAPP @t1408 @t33)) % 6.41/6.69 (define @t3563 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2338 (tptp.hAPP @t3562 @t1477)) @t289))) % 6.41/6.69 (define @t3564 () (tptp.hBOOL (tptp.hAPP @t1481 @t454))) % 6.41/6.69 (define @t3565 () (@list @t289 @t33 @t454)) % 6.41/6.69 (define @t3566 () (tptp.hAPP @t2173 @t454)) % 6.41/6.69 (define @t3567 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t3) @t33))) % 6.41/6.69 (define @t3568 () (forall @t2329 (=> @t3560 (forall @t3557 (=> (tptp.hBOOL (tptp.hAPP @t3556 @t51)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t1408 @t3555) @t2327)))))))) % 6.41/6.69 (define @t3569 () (tptp.hAPP @t1394 @t33)) % 6.41/6.69 (define @t3570 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2338 (tptp.hAPP @t3569 @t1477)) @t51))) % 6.41/6.69 (define @t3571 () (@list @t51 @t33 @t454)) % 6.41/6.69 (define @t3572 () (forall @t7 (not @t3090))) % 6.41/6.69 (define @t3573 () (tptp.hBOOL (tptp.hAPP @t2596 @t3558))) % 6.41/6.69 (define @t3574 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1074 @t281)) % 6.41/6.69 (define @t3575 () (tptp.hBOOL (tptp.hAPP @t2644 @t3574))) % 6.41/6.69 (define @t3576 () (tptp.hBOOL (tptp.hAPP @t117 @t1240))) % 6.41/6.69 (define @t3577 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t1240) @t281))) % 6.41/6.69 (define @t3578 () (@list @t117 @t281)) % 6.41/6.69 (define @t3579 () (tptp.hAPP @t3510 @t73)) % 6.41/6.69 (define @t3580 () (tptp.hAPP @t1792 @t51)) % 6.41/6.69 (define @t3581 () (not (= @t3 @t33))) % 6.41/6.69 (define @t3582 () (tptp.hAPP @t2338 @t33)) % 6.41/6.69 (define @t3583 () (tptp.hBOOL (tptp.hAPP @t3582 @t51))) % 6.41/6.69 (define @t3584 () (tptp.c_Predicate_OPowp @t8 @t51)) % 6.41/6.69 (define @t3585 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t3) @t33))) % 6.41/6.69 (define @t3586 () (tptp.hAPP @t1385 @t33)) % 6.41/6.69 (define @t3587 () (tptp.hBOOL (tptp.hAPP @t3586 @t3))) % 6.41/6.69 (define @t3588 () (tptp.hBOOL (tptp.hAPP @t3582 @t289))) % 6.41/6.69 (define @t3589 () (@list @t33 @t289 @t454)) % 6.41/6.69 (define @t3590 () (@list @t33 @t51 @t454)) % 6.41/6.69 (define @t3591 () (tptp.c_Relation_OField @t8)) % 6.41/6.69 (define @t3592 () (tptp.hAPP @t3591 @t2917)) % 6.41/6.69 (define @t3593 () (tptp.hAPP @t3287 @t58)) % 6.41/6.69 (define @t3594 () (tptp.c_Set_Oinsert @t3067)) % 6.41/6.69 (define @t3595 () (@list @t2917 @t58 @t13 @t8)) % 6.41/6.69 (define @t3596 () (tptp.hAPP @t3591 @t428)) % 6.41/6.69 (define @t3597 () (tptp.hAPP @t3069 @t2917)) % 6.41/6.69 (define @t3598 () (tptp.hBOOL (tptp.hAPP @t3597 @t428))) % 6.41/6.69 (define @t3599 () (@list @t428 @t2917 @t8)) % 6.41/6.69 (define @t3600 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3068)) % 6.41/6.69 (define @t3601 () (tptp.hAPP @t3600 @t2917)) % 6.41/6.69 (define @t3602 () (tptp.hAPP @t3601 @t428)) % 6.41/6.69 (define @t3603 () (tptp.c_Finite__Set_Ofinite @t3067)) % 6.41/6.69 (define @t3604 () (tptp.hBOOL (tptp.hAPP @t3603 @t2917))) % 6.41/6.69 (define @t3605 () (tptp.hAPP @t2027 @t468)) % 6.41/6.69 (define @t3606 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3605 @t18)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t73) @t100))) % 6.41/6.69 (define @t3607 () (tptp.hAPP @t3302 @t1074)) % 6.41/6.69 (define @t3608 () (tptp.hAPP @t3607 @t1901)) % 6.41/6.69 (define @t3609 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t18) @t100))) % 6.41/6.69 (define @t3610 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t3611 () (tptp.hAPP @t3610 @t281)) % 6.41/6.69 (define @t3612 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1468)) % 6.41/6.69 (define @t3613 () (tptp.hAPP @t3612 @t1010)) % 6.41/6.69 (define @t3614 () (tptp.hAPP @t3610 @t205)) % 6.41/6.69 (define @t3615 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t18) @t60)) % 6.41/6.69 (define @t3616 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t13) @t58)) % 6.41/6.69 (define @t3617 () (= @t3616 @t3615)) % 6.41/6.69 (define @t3618 () (tptp.c_SetInterval_Oord__class_OatMost @t8)) % 6.41/6.69 (define @t3619 () (tptp.hAPP @t3618 @t100)) % 6.41/6.69 (define @t3620 () (tptp.hAPP @t3618 @t73)) % 6.41/6.69 (define @t3621 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1074)) % 6.41/6.69 (define @t3622 () (tptp.hAPP @t3621 @t281)) % 6.41/6.69 (define @t3623 () (tptp.hBOOL (tptp.hAPP @t2644 @t3622))) % 6.41/6.69 (define @t3624 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t1240) @t281))) % 6.41/6.69 (define @t3625 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t378)) % 6.41/6.69 (define @t3626 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t638)) % 6.41/6.69 (define @t3627 () (tptp.hAPP @t3626 @t637)) % 6.41/6.69 (define @t3628 () (= @t3616 @t56)) % 6.41/6.69 (define @t3629 () (not @t691)) % 6.41/6.69 (define @t3630 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t1468)) % 6.41/6.69 (define @t3631 () (tptp.hAPP @t3630 @t1010)) % 6.41/6.69 (define @t3632 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t378) @t1010)) % 6.41/6.69 (define @t3633 () (tptp.hAPP @t3630 @t378)) % 6.41/6.69 (define @t3634 () (tptp.hAPP @t1662 @t3633)) % 6.41/6.69 (define @t3635 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t638)) % 6.41/6.69 (define @t3636 () (tptp.hAPP @t777 @t638)) % 6.41/6.69 (define @t3637 () (@list @t1010)) % 6.41/6.69 (define @t3638 () (tptp.hAPP @t3302 @t878)) % 6.41/6.69 (define @t3639 () (tptp.hAPP @t3618 @t205)) % 6.41/6.69 (define @t3640 () (@list @t205 @t638 @t8)) % 6.41/6.69 (define @t3641 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t55)) % 6.41/6.69 (define @t3642 () (tptp.hAPP @t3641 @t3611)) % 6.41/6.69 (define @t3643 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t205) (tptp.hAPP @t580 @t2344))) % 6.41/6.69 (define @t3644 () (tptp.hAPP @t3625 @t282)) % 6.41/6.69 (define @t3645 () (tptp.hAPP @t3625 @t281)) % 6.41/6.69 (define @t3646 () (tptp.hAPP @t3618 @t1010)) % 6.41/6.69 (define @t3647 () (tptp.hAPP @t3618 @t1468)) % 6.41/6.69 (define @t3648 () (tptp.hAPP @t1662 @t3647)) % 6.41/6.69 (define @t3649 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t467 @t281)) % 6.41/6.69 (define @t3650 () (tptp.hAPP @t1662 @t3631)) % 6.41/6.69 (define @t3651 () (tptp.c_SetInterval_Oord__class_OlessThan @t8)) % 6.41/6.69 (define @t3652 () (tptp.hAPP @t3651 @t1010)) % 6.41/6.69 (define @t3653 () (tptp.hAPP @t3651 @t1468)) % 6.41/6.69 (define @t3654 () (tptp.hAPP @t1662 @t3653)) % 6.41/6.69 (define @t3655 () (tptp.c_Relation_OImage @t3146 @t3146 tptp.c_Int_Ointrel)) % 6.41/6.69 (define @t3656 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t3657 () (tptp.hAPP @t3656 @t205)) % 6.41/6.69 (define @t3658 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1468)) % 6.41/6.69 (define @t3659 () (tptp.hAPP @t3658 @t1010)) % 6.41/6.69 (define @t3660 () (tptp.c_Relation_OImage @t74 @t8 @t201)) % 6.41/6.69 (define @t3661 () (@list @t201 @t8 @t74)) % 6.41/6.69 (define @t3662 () (tptp.hAPP @t3660 @t289)) % 6.41/6.69 (define @t3663 () (tptp.hAPP @t3660 @t51)) % 6.41/6.69 (define @t3664 () (tptp.hAPP @t1662 @t3663)) % 6.41/6.69 (define @t3665 () (tptp.hAPP @t3651 @t100)) % 6.41/6.69 (define @t3666 () (tptp.hAPP @t3651 @t73)) % 6.41/6.69 (define @t3667 () (tptp.c_Relation_OImage @t74 @t8 @t2917)) % 6.41/6.69 (define @t3668 () (tptp.hAPP (tptp.hAPP @t2391 @t3667) @t289)) % 6.41/6.69 (define @t3669 () (tptp.c_Relation_OImage @t8 @t74 @t2917)) % 6.41/6.69 (define @t3670 () (tptp.hAPP @t3669 @t51)) % 6.41/6.69 (define @t3671 () (@var "V_A_H_2" $$unsorted)) % 6.41/6.69 (define @t3672 () (@var "V_r_H_2" $$unsorted)) % 6.41/6.69 (define @t3673 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2948 @t3672) @t2917))) % 6.41/6.69 (define @t3674 () (tptp.tc_prod @t74 @t8)) % 6.41/6.69 (define @t3675 () (tptp.tc_fun @t3674 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3676 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3675)) % 6.41/6.69 (define @t3677 () (tptp.hAPP @t3656 @t281)) % 6.41/6.69 (define @t3678 () (tptp.hAPP @t3302 @t205)) % 6.41/6.69 (define @t3679 () (tptp.hAPP @t3656 @t878)) % 6.41/6.69 (define @t3680 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1480)) % 6.41/6.69 (define @t3681 () (tptp.hAPP @t3680 @t1010)) % 6.41/6.69 (define @t3682 () (tptp.hAPP tptp.c_Int_Onat @t1010)) % 6.41/6.69 (define @t3683 () (tptp.hAPP @t3651 @t205)) % 6.41/6.69 (define @t3684 () (tptp.hBOOL (tptp.hAPP @t3110 @t2917))) % 6.41/6.69 (define @t3685 () (tptp.hAPP @t3251 @t3)) % 6.41/6.69 (define @t3686 () (tptp.c_member @t3674)) % 6.41/6.69 (define @t3687 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3686 (tptp.hAPP @t3685 @t58)) @t2917))) % 6.41/6.69 (define @t3688 () (tptp.hAPP @t3667 @t51)) % 6.41/6.69 (define @t3689 () (tptp.hBOOL (tptp.hAPP @t329 @t3688))) % 6.41/6.69 (define @t3690 () (@list @t51 @t2917 @t74 @t58 @t8)) % 6.41/6.69 (define @t3691 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t273 @t273) @t111) @t386)) % 6.41/6.69 (define @t3692 () (tptp.c_COMBB @t273 @t55 @t74)) % 6.41/6.69 (define @t3693 () (tptp.hAPP (tptp.hAPP @t52 @t205) @t56)) % 6.41/6.69 (define @t3694 () (tptp.hAPP @t3251 @t13)) % 6.41/6.69 (define @t3695 () (tptp.hAPP @t3694 @t58)) % 6.41/6.69 (define @t3696 () (tptp.hAPP @t3667 @t2446)) % 6.41/6.69 (define @t3697 () (tptp.hAPP @t3656 @t282)) % 6.41/6.69 (define @t3698 () (tptp.hAPP @t855 @t100)) % 6.41/6.69 (define @t3699 () (tptp.hAPP @t855 @t73)) % 6.41/6.69 (define @t3700 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3655 (tptp.hAPP (tptp.hAPP @t3431 @t3471) @t3450)))) % 6.41/6.69 (define @t3701 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3655 (tptp.hAPP (tptp.hAPP @t3431 @t3467) @t3450)))) % 6.41/6.69 (define @t3702 () (tptp.hAPP @t3120 @t378)) % 6.41/6.69 (define @t3703 () (tptp.tc_fun @t3433 @t3433)) % 6.41/6.69 (define @t3704 () (tptp.tc_fun tptp.tc_Nat_Onat @t3703)) % 6.41/6.69 (define @t3705 () (tptp.tc_fun tptp.tc_Nat_Onat @t3433)) % 6.41/6.69 (define @t3706 () (tptp.hAPP @t942 @t467)) % 6.41/6.69 (define @t3707 () (@list @t281 @t60 @t13)) % 6.41/6.69 (define @t3708 () (tptp.hAPP (tptp.hAPP @t3120 @t3) @t43)) % 6.41/6.69 (define @t3709 () (tptp.hAPP @t553 @t13)) % 6.41/6.69 (define @t3710 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t3711 () (tptp.hAPP @t754 @t2205)) % 6.41/6.69 (define @t3712 () (tptp.c_COMBB @t8 @t1969 tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t3713 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t8)) % 6.41/6.69 (define @t3714 () (tptp.c_COMBC @t74 @t8 @t8)) % 6.41/6.69 (define @t3715 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t74 @t8)) % 6.41/6.69 (define @t3716 () (tptp.hAPP @t3715 @t2)) % 6.41/6.69 (define @t3717 () (tptp.hAPP @t3716 @t51)) % 6.41/6.69 (define @t3718 () (@list @t2917 @t51 @t2 @t74 @t8)) % 6.41/6.69 (define @t3719 () (tptp.hAPP @t3715 @t1)) % 6.41/6.69 (define @t3720 () (tptp.hAPP @t3719 @t51)) % 6.41/6.69 (define @t3721 () (tptp.hAPP (tptp.hAPP @t2970 (tptp.hAPP (tptp.hAPP @t2968 @t392) @t2)) @t1)) % 6.41/6.69 (define @t3722 () (tptp.hAPP @t2973 @t1082)) % 6.41/6.69 (define @t3723 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 tptp.tc_Int_Oint)) % 6.41/6.69 (define @t3724 () (tptp.hAPP (tptp.hAPP @t3723 @t2953) @t51)) % 6.41/6.69 (define @t3725 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t3726 () (tptp.hAPP @t3725 @t2)) % 6.41/6.69 (define @t3727 () (tptp.hAPP @t3726 @t51)) % 6.41/6.69 (define @t3728 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t74 tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t3729 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t210 @t8)) % 6.41/6.69 (define @t3730 () (tptp.c_COMBB @t2414 (tptp.tc_fun @t2190 @t8) @t74)) % 6.41/6.69 (define @t3731 () (tptp.hAPP @t3730 @t3729)) % 6.41/6.69 (define @t3732 () (tptp.c_COMBC @t74 @t2190 @t8)) % 6.41/6.69 (define @t3733 () (tptp.hAPP (tptp.hAPP @t3715 (tptp.hAPP (tptp.hAPP @t3732 (tptp.hAPP @t3731 @t2)) @t289)) @t51)) % 6.41/6.69 (define @t3734 () (@list @t51 @t289 @t2 @t210 @t74 @t8)) % 6.41/6.69 (define @t3735 () (tptp.hAPP @t754 @t3717)) % 6.41/6.69 (define @t3736 () (tptp.hAPP @t3714 @t2969)) % 6.41/6.69 (define @t3737 () (tptp.hAPP @t754 @t2917)) % 6.41/6.69 (define @t3738 () (tptp.c_COMBB @t8 @t8 @t74)) % 6.41/6.69 (define @t3739 () (tptp.hAPP (tptp.hAPP @t2970 (tptp.hAPP (tptp.hAPP @t2968 @t676) @t2)) @t1)) % 6.41/6.69 (define @t3740 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t74)) % 6.41/6.69 (define @t3741 () (tptp.hAPP @t3740 @t1)) % 6.41/6.69 (define @t3742 () (tptp.hAPP @t3741 @t51)) % 6.41/6.69 (define @t3743 () (=> @t1248 (= @t3742 @t2978))) % 6.41/6.69 (define @t3744 () (tptp.class_Groups_Ocomm__monoid__add @t74)) % 6.41/6.69 (define @t3745 () (tptp.hAPP @t3740 @t2)) % 6.41/6.69 (define @t3746 () (tptp.hAPP @t3745 @t51)) % 6.41/6.69 (define @t3747 () (tptp.hAPP @t1433 @t3742)) % 6.41/6.69 (define @t3748 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t8) @t467)) % 6.41/6.69 (define @t3749 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Nat_Onat) @t2)) % 6.41/6.69 (define @t3750 () (tptp.hAPP @t3713 (tptp.hAPP @t3749 tptp.c_Nat_OSuc))) % 6.41/6.69 (define @t3751 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t665)) % 6.41/6.69 (define @t3752 () (tptp.hAPP @t3713 @t2)) % 6.41/6.69 (define @t3753 () (@list @t281 @t378 @t2 @t8)) % 6.41/6.69 (define @t3754 () (tptp.hAPP @t3713 (tptp.hAPP @t3749 @t3530))) % 6.41/6.69 (define @t3755 () (@list @t281 @t205 @t378 @t2 @t8)) % 6.41/6.69 (define @t3756 () (tptp.hAPP @t2 @t2327)) % 6.41/6.69 (define @t3757 () (= @t3 @t2327)) % 6.41/6.69 (define @t3758 () (not @t3757)) % 6.41/6.69 (define @t3759 () (tptp.hBOOL (tptp.hAPP @t2328 @t51))) % 6.41/6.69 (define @t3760 () (forall @t2329 (=> @t3759 (=> @t3758 (= @t3756 @t1074))))) % 6.41/6.69 (define @t3761 () (tptp.hAPP @t3752 (tptp.hAPP @t3625 @t3161))) % 6.41/6.69 (define @t3762 () (tptp.hAPP @t3752 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t281) @t3161))) % 6.41/6.69 (define @t3763 () (tptp.hAPP @t3752 @t3645)) % 6.41/6.69 (define @t3764 () (tptp.hAPP @t676 @t3763)) % 6.41/6.69 (define @t3765 () (tptp.hBOOL (tptp.hAPP @t926 @t3161))) % 6.41/6.69 (define @t3766 () (@list @t2 @t3161 @t281 @t378 @t8)) % 6.41/6.69 (define @t3767 () (tptp.hAPP @t3710 @t2)) % 6.41/6.69 (define @t3768 () (tptp.hAPP @t2 @t1074)) % 6.41/6.69 (define @t3769 () (tptp.hAPP (tptp.hAPP @t3740 (tptp.hAPP @t2910 @t2978)) @t1791)) % 6.41/6.69 (define @t3770 () (tptp.hAPP (tptp.hAPP @t3740 (tptp.hAPP @t3024 @t2978)) @t1791)) % 6.41/6.69 (define @t3771 () (tptp.hAPP @t758 @t51)) % 6.41/6.69 (define @t3772 () (tptp.hAPP @t2 @t281)) % 6.41/6.69 (define @t3773 () (@list @t281 @t2 @t8)) % 6.41/6.69 (define @t3774 () (tptp.hAPP @t2 @t282)) % 6.41/6.69 (define @t3775 () (tptp.hAPP @t1433 @t253)) % 6.41/6.69 (define @t3776 () (tptp.hAPP @t3741 @t104)) % 6.41/6.69 (define @t3777 () (tptp.hAPP @t1433 @t530)) % 6.41/6.69 (define @t3778 () (tptp.hAPP @t3745 @t289)) % 6.41/6.69 (define @t3779 () (tptp.hAPP @t1441 @t3746)) % 6.41/6.69 (define @t3780 () (tptp.class_Groups_Oab__group__add @t74)) % 6.41/6.69 (define @t3781 () (tptp.hAPP @t3726 @t289)) % 6.41/6.69 (define @t3782 () (tptp.hAPP @t468 @t3727)) % 6.41/6.69 (define @t3783 () (tptp.hAPP @t2 @t378)) % 6.41/6.69 (define @t3784 () (tptp.hAPP @t676 @t3783)) % 6.41/6.69 (define @t3785 () (@list @t2 @t281 @t378 @t8)) % 6.41/6.69 (define @t3786 () (tptp.hAPP @t3752 @t3533)) % 6.41/6.69 (define @t3787 () (tptp.hAPP @t3775 (tptp.hAPP @t3741 @t356))) % 6.41/6.69 (define @t3788 () (tptp.hAPP @t3726 @t354)) % 6.41/6.69 (define @t3789 () (tptp.hAPP @t3752 @t3644)) % 6.41/6.69 (define @t3790 () (@list @t2 @t378 @t281 @t8)) % 6.41/6.69 (define @t3791 () (tptp.hAPP @t676 @t3786)) % 6.41/6.69 (define @t3792 () (tptp.hAPP @t3752 @t3544)) % 6.41/6.69 (define @t3793 () (tptp.hBOOL (tptp.hAPP @t1962 @t378))) % 6.41/6.69 (define @t3794 () (tptp.hAPP @t3713 @t117)) % 6.41/6.69 (define @t3795 () (tptp.hAPP @t584 @t3161)) % 6.41/6.69 (define @t3796 () (tptp.hAPP @t584 @t467)) % 6.41/6.69 (define @t3797 () (tptp.hAPP @t3745 @t354)) % 6.41/6.69 (define @t3798 () (=> @t299 (= @t3797 (tptp.hAPP @t3779 @t530)))) % 6.41/6.69 (define @t3799 () (tptp.hAPP (tptp.hAPP @t3713 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t8 @t8) (tptp.hAPP (tptp.hAPP @t3712 @t392) @t2)) (tptp.hAPP @t3749 (tptp.hAPP @t3529 @t467)))) @t3533)) % 6.41/6.69 (define @t3800 () (tptp.hAPP @t818 @t3746)) % 6.41/6.69 (define @t3801 () (tptp.hBOOL (tptp.hAPP @t3800 @t3778))) % 6.41/6.69 (define @t3802 () (tptp.hAPP @t818 @t2978)) % 6.41/6.69 (define @t3803 () (@list @t1302)) % 6.41/6.69 (define @t3804 () (@list @t2 @t51 @t289 @t8 @t74)) % 6.41/6.69 (define @t3805 () (@var "V_K_2" $$unsorted)) % 6.41/6.69 (define @t3806 () (tptp.hAPP @t2 @t1332)) % 6.41/6.69 (define @t3807 () (tptp.hAPP @t136 @t1332)) % 6.41/6.69 (define @t3808 () (tptp.class_Groups_Oordered__ab__semigroup__add @t74)) % 6.41/6.69 (define @t3809 () (tptp.hBOOL (tptp.hAPP @t3802 @t5))) % 6.41/6.69 (define @t3810 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t8)) % 6.41/6.69 (define @t3811 () (tptp.hAPP @t3810 @t2)) % 6.41/6.69 (define @t3812 () (tptp.hAPP @t3811 @t51)) % 6.41/6.69 (define @t3813 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t8 @t3067) @t3085) @t1505)) % 6.41/6.69 (define @t3814 () (tptp.c_Relation_OId__on @t8 @t51)) % 6.41/6.69 (define @t3815 () (tptp.c_Relation_OImage @t8 @t8 @t2917)) % 6.41/6.69 (define @t3816 () (tptp.c_COMBB @t55 @t55 @t8)) % 6.41/6.69 (define @t3817 () (tptp.tc_fun @t3513 @t3513)) % 6.41/6.69 (define @t3818 () (tptp.c_Equiv__Relations_Oquotient @t8)) % 6.41/6.69 (define @t3819 () (tptp.hAPP (tptp.hAPP @t3818 @t51) @t2917)) % 6.41/6.69 (define @t3820 () (@list @t2917 @t51 @t8)) % 6.41/6.69 (define @t3821 () (tptp.hBOOL (tptp.hAPP @t2301 @t428))) % 6.41/6.69 (define @t3822 () (tptp.hAPP @t3745 @t428)) % 6.41/6.69 (define @t3823 () (forall @t1336 (=> (tptp.hBOOL (tptp.hAPP @t3807 @t428)) (tptp.hBOOL (tptp.hAPP @t3802 @t3806))))) % 6.41/6.69 (define @t3824 () (tptp.hBOOL (tptp.hAPP @t182 @t428))) % 6.41/6.69 (define @t3825 () (tptp.class_Groups_Oordered__ab__group__add @t74)) % 6.41/6.69 (define @t3826 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1632 @t8)) % 6.41/6.69 (define @t3827 () (tptp.hAPP @t3826 tptp.c_fconj)) % 6.41/6.69 (define @t3828 () (tptp.tc_fun @t8 @t1632)) % 6.41/6.69 (define @t3829 () (tptp.hAPP (tptp.c_COMBB @t55 @t3828 @t8) @t3827)) % 6.41/6.69 (define @t3830 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t8 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t3831 () (tptp.hAPP @t3815 @t86)) % 6.41/6.69 (define @t3832 () (tptp.hAPP @t3088 @t3593)) % 6.41/6.69 (define @t3833 () (tptp.hAPP (tptp.hAPP @t3818 @t86) @t2917)) % 6.41/6.69 (define @t3834 () (@list @t2917 @t73 @t8)) % 6.41/6.69 (define @t3835 () (tptp.hBOOL (tptp.hAPP @t3832 @t2917))) % 6.41/6.69 (define @t3836 () (=> @t330 @t3835)) % 6.41/6.69 (define @t3837 () (tptp.hAPP @t3815 @t70)) % 6.41/6.69 (define @t3838 () (tptp.hAPP @t3815 @t66)) % 6.41/6.69 (define @t3839 () (tptp.c_Equiv__Relations_Oequiv @t8 @t51 @t2917)) % 6.41/6.69 (define @t3840 () (tptp.hAPP @t3510 @t138)) % 6.41/6.69 (define @t3841 () (tptp.hBOOL (tptp.hAPP @t3840 @t3819))) % 6.41/6.69 (define @t3842 () (tptp.hBOOL (tptp.hAPP @t3246 @t2917))) % 6.41/6.69 (define @t3843 () (@list @t100 @t73 @t2917 @t51 @t8)) % 6.41/6.69 (define @t3844 () (@list @t58 @t13 @t2917 @t51 @t8)) % 6.41/6.69 (define @t3845 () (@list @t13 @t2917 @t51 @t8)) % 6.41/6.69 (define @t3846 () (= @t3837 @t3838)) % 6.41/6.69 (define @t3847 () (= @t138 @t1460)) % 6.41/6.69 (define @t3848 () (tptp.hBOOL (tptp.hAPP @t326 @t1460))) % 6.41/6.69 (define @t3849 () (tptp.hBOOL (tptp.hAPP @t283 @t138))) % 6.41/6.69 (define @t3850 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3510 @t1460) @t3819))) % 6.41/6.69 (define @t3851 () (@list @t100 @t73 @t1460 @t138 @t2917 @t51 @t8)) % 6.41/6.69 (define @t3852 () (= @t3831 (tptp.hAPP @t3815 @t471))) % 6.41/6.69 (define @t3853 () (tptp.c_Equiv__Relations_Ocongruent @t8 @t273 @t2917 @t2)) % 6.41/6.69 (define @t3854 () (@var "V_r2_2" $$unsorted)) % 6.41/6.69 (define @t3855 () (tptp.c_Relation_OImage @t74 @t74 @t3854)) % 6.41/6.69 (define @t3856 () (tptp.c_COMBB @t2191 @t2190 @t8)) % 6.41/6.69 (define @t3857 () (@var "V_r1_2" $$unsorted)) % 6.41/6.69 (define @t3858 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t2190)) % 6.41/6.69 (define @t3859 () (@var "V_A2_2" $$unsorted)) % 6.41/6.69 (define @t3860 () (@var "V_A1_2" $$unsorted)) % 6.41/6.69 (define @t3861 () (tptp.c_Equiv__Relations_Ocongruent2 @t8 @t74 @t2190 @t3857 @t3854 @t2)) % 6.41/6.69 (define @t3862 () (tptp.c_Equiv__Relations_Oequiv @t74 @t3859 @t3854)) % 6.41/6.69 (define @t3863 () (tptp.c_Equiv__Relations_Oequiv @t8 @t3860 @t3857)) % 6.41/6.69 (define @t3864 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t55)) % 6.41/6.69 (define @t3865 () (tptp.hAPP @t3864 @t51)) % 6.41/6.69 (define @t3866 () (tptp.hAPP @t3865 @t289)) % 6.41/6.69 (define @t3867 () (tptp.hBOOL (tptp.hAPP @t3866 @t73))) % 6.41/6.69 (define @t3868 () (tptp.hBOOL (tptp.hAPP @t290 @t3866))) % 6.41/6.69 (define @t3869 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8)) % 6.41/6.69 (define @t3870 () (tptp.hAPP @t3869 @t95)) % 6.41/6.69 (define @t3871 () (tptp.hAPP @t3870 @t284)) % 6.41/6.69 (define @t3872 () (tptp.hAPP @t777 @t3871)) % 6.41/6.69 (define @t3873 () (tptp.hBOOL (tptp.hAPP @t3872 @t95))) % 6.41/6.69 (define @t3874 () (tptp.class_Lattices_Osemilattice__inf @t8)) % 6.41/6.69 (define @t3875 () (tptp.hBOOL (tptp.hAPP @t3872 @t284))) % 6.41/6.69 (define @t3876 () (tptp.hAPP @t3869 @t73)) % 6.41/6.69 (define @t3877 () (tptp.hAPP @t3876 @t100)) % 6.41/6.69 (define @t3878 () (tptp.hAPP @t3869 @t348)) % 6.41/6.69 (define @t3879 () (tptp.hAPP @t3878 @t39)) % 6.41/6.69 (define @t3880 () (tptp.hAPP @t777 @t3879)) % 6.41/6.69 (define @t3881 () (tptp.hBOOL (tptp.hAPP @t3880 @t95))) % 6.41/6.69 (define @t3882 () (tptp.hBOOL (tptp.hAPP @t778 @t3879))) % 6.41/6.69 (define @t3883 () (tptp.hAPP @t3869 @t284)) % 6.41/6.69 (define @t3884 () (tptp.hAPP @t3883 @t513)) % 6.41/6.69 (define @t3885 () (tptp.hAPP @t744 @t3866)) % 6.41/6.69 (define @t3886 () (tptp.hBOOL (tptp.hAPP @t916 @t51))) % 6.41/6.69 (define @t3887 () (@list @t289 @t51 @t721 @t8)) % 6.41/6.69 (define @t3888 () (tptp.hAPP @t3864 @t721)) % 6.41/6.69 (define @t3889 () (tptp.hAPP @t1728 @t51)) % 6.41/6.69 (define @t3890 () (tptp.hAPP @t3864 @t1664)) % 6.41/6.69 (define @t3891 () (tptp.hAPP @t3888 @t51)) % 6.41/6.69 (define @t3892 () (tptp.hAPP @t3864 @t289)) % 6.41/6.69 (define @t3893 () (tptp.hAPP @t3892 @t721)) % 6.41/6.69 (define @t3894 () (tptp.hAPP @t1662 @t3866)) % 6.41/6.69 (define @t3895 () (@list @t51 @t721 @t289 @t8)) % 6.41/6.69 (define @t3896 () (tptp.hAPP @t3892 @t51)) % 6.41/6.69 (define @t3897 () (tptp.hAPP @t3865 @t721)) % 6.41/6.69 (define @t3898 () (tptp.hAPP @t3865 @t1671)) % 6.41/6.69 (define @t3899 () (tptp.class_Lattices_Odistrib__lattice @t8)) % 6.41/6.69 (define @t3900 () (tptp.hAPP @t3883 @t95)) % 6.41/6.69 (define @t3901 () (tptp.hAPP (tptp.hAPP @t3869 @t1684) @t1691)) % 6.41/6.69 (define @t3902 () (tptp.hAPP @t1682 @t3884)) % 6.41/6.69 (define @t3903 () (tptp.hAPP @t3870 @t513)) % 6.41/6.69 (define @t3904 () (tptp.hAPP (tptp.hAPP @t1677 @t3871) @t3903)) % 6.41/6.69 (define @t3905 () (tptp.hAPP @t3870 @t1681)) % 6.41/6.69 (define @t3906 () (= @t3866 @t56)) % 6.41/6.69 (define @t3907 () (= (tptp.hAPP @t3870 @t95) @t95)) % 6.41/6.69 (define @t3908 () (tptp.hAPP @t3865 @t3893)) % 6.41/6.69 (define @t3909 () (tptp.hAPP @t3870 @t3884)) % 6.41/6.69 (define @t3910 () (= (tptp.hAPP (tptp.hAPP @t3869 @t3871) @t513) @t3909)) % 6.41/6.69 (define @t3911 () (tptp.hAPP @t3869 @t39)) % 6.41/6.69 (define @t3912 () (tptp.hAPP @t3878 (tptp.hAPP @t3911 @t333))) % 6.41/6.69 (define @t3913 () (= @t3909 (tptp.hAPP @t3883 @t3903))) % 6.41/6.69 (define @t3914 () (= (tptp.hAPP @t3870 @t3871) @t3871)) % 6.41/6.69 (define @t3915 () (= @t3871 @t3900)) % 6.41/6.69 (define @t3916 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t3879) @t95))) % 6.41/6.69 (define @t3917 () (tptp.hAPP @t309 @t3897)) % 6.41/6.69 (define @t3918 () (tptp.hAPP @t3917 @t3893)) % 6.41/6.69 (define @t3919 () (tptp.hAPP @t3864 @t311)) % 6.41/6.69 (define @t3920 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1897)) % 6.41/6.69 (define @t3921 () (tptp.hAPP (tptp.hAPP @t3920 @t51) @t289)) % 6.41/6.69 (define @t3922 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3513)) % 6.41/6.69 (define @t3923 () (tptp.hAPP @t53 @t3866)) % 6.41/6.69 (define @t3924 () (@list @t289 @t51 @t13 @t8)) % 6.41/6.69 (define @t3925 () (tptp.hAPP (tptp.hAPP @t2396 @t3864) @t51)) % 6.41/6.69 (define @t3926 () (tptp.c_COMBB @t55 @t55 @t210)) % 6.41/6.69 (define @t3927 () (tptp.hAPP (tptp.c_COMBB @t1579 (tptp.tc_fun @t2312 @t2312) @t74) @t3926)) % 6.41/6.69 (define @t3928 () (tptp.c_COMBC @t74 @t2312 @t2312)) % 6.41/6.69 (define @t3929 () (@var "V_J_2" $$unsorted)) % 6.41/6.69 (define @t3930 () (tptp.hAPP @t2311 @t3929)) % 6.41/6.69 (define @t3931 () (tptp.c_COMBB @t2312 @t55 @t74)) % 6.41/6.69 (define @t3932 () (@list @t289 @t3929 @t210 @t51 @t2383 @t74 @t8)) % 6.41/6.69 (define @t3933 () (tptp.hAPP @t2421 (tptp.hAPP (tptp.hAPP @t2295 @t3925) @t289))) % 6.41/6.69 (define @t3934 () (tptp.hAPP (tptp.hAPP @t3864 @t2423) @t289)) % 6.41/6.69 (define @t3935 () (tptp.c_COMBB @t55 @t55 @t74)) % 6.41/6.69 (define @t3936 () (@list @t51 @t2383 @t74 @t289 @t8)) % 6.41/6.69 (define @t3937 () (tptp.hAPP @t2421 (tptp.hAPP (tptp.hAPP @t3935 @t3865) @t289))) % 6.41/6.69 (define @t3938 () (tptp.hAPP @t3865 (tptp.hAPP @t2421 @t289))) % 6.41/6.69 (define @t3939 () (@list @t289 @t721 @t74 @t51 @t8)) % 6.41/6.69 (define @t3940 () (tptp.hAPP @t3869 @t846)) % 6.41/6.69 (define @t3941 () (tptp.hAPP @t1677 @t846)) % 6.41/6.69 (define @t3942 () (tptp.hAPP @t3865 @t367)) % 6.41/6.69 (define @t3943 () (=> @t366 (= @t3942 @t3866))) % 6.41/6.69 (define @t3944 () (=> @t299 (= @t3942 @t3923))) % 6.41/6.69 (define @t3945 () (tptp.hAPP (tptp.hAPP @t3864 @t367) @t721)) % 6.41/6.69 (define @t3946 () (tptp.hBOOL (tptp.hAPP @t298 @t721))) % 6.41/6.69 (define @t3947 () (=> (not @t3946) (= @t3945 @t3893))) % 6.41/6.69 (define @t3948 () (=> @t3946 (= @t3945 (tptp.hAPP @t53 @t3893)))) % 6.41/6.69 (define @t3949 () (@list @t289 @t721 @t13 @t8)) % 6.41/6.69 (define @t3950 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t273)) % 6.41/6.69 (define @t3951 () (tptp.hAPP @t3950 @t51)) % 6.41/6.69 (define @t3952 () (tptp.hAPP @t3951 @t289)) % 6.41/6.69 (define @t3953 () (tptp.hAPP @t1662 @t311)) % 6.41/6.69 (define @t3954 () (tptp.hAPP @t3864 @t3633)) % 6.41/6.69 (define @t3955 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1900)) % 6.41/6.69 (define @t3956 () (tptp.hAPP @t3864 @t781)) % 6.41/6.69 (define @t3957 () (tptp.hAPP (tptp.hAPP @t3864 @t3663) @t3662)) % 6.41/6.69 (define @t3958 () (tptp.hAPP @t3660 @t3952)) % 6.41/6.69 (define @t3959 () (@list @t289 @t51 @t201 @t74 @t8)) % 6.41/6.69 (define @t3960 () (tptp.hAPP @t3864 @t3016)) % 6.41/6.69 (define @t3961 () (tptp.c_Equiv__Relations_Ocongruent2 @t8 @t74 @t210 @t3857 @t3854 @t2)) % 6.41/6.69 (define @t3962 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t3869)) % 6.41/6.69 (define @t3963 () (tptp.hAPP @t3962 @t58)) % 6.41/6.69 (define @t3964 () (tptp.hAPP @t3963 @t51)) % 6.41/6.69 (define @t3965 () (tptp.hAPP @t3869 @t13)) % 6.41/6.69 (define @t3966 () (tptp.hAPP @t1988 @t58)) % 6.41/6.69 (define @t3967 () (tptp.hAPP @t3966 @t60)) % 6.41/6.69 (define @t3968 () (tptp.hAPP @t2094 @t18)) % 6.41/6.69 (define @t3969 () (tptp.hAPP @t3864 @t3537)) % 6.41/6.69 (define @t3970 () (tptp.hAPP @t3864 @t3653)) % 6.41/6.69 (define @t3971 () (tptp.hAPP @t3864 @t3546)) % 6.41/6.69 (define @t3972 () (tptp.hAPP @t3864 @t3504)) % 6.41/6.69 (define @t3973 () (tptp.hAPP @t3864 @t3647)) % 6.41/6.69 (define @t3974 () (tptp.hAPP @t3965 @t58)) % 6.41/6.69 (define @t3975 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t3869) @t51)) % 6.41/6.69 (define @t3976 () (tptp.hAPP @t3747 (tptp.hAPP @t3741 @t289))) % 6.41/6.69 (define @t3977 () (tptp.hAPP @t3741 @t1664)) % 6.41/6.69 (define @t3978 () (@list @t1 @t289 @t51 @t8 @t74)) % 6.41/6.69 (define @t3979 () (tptp.hAPP @t2998 (tptp.hAPP @t2987 @t289))) % 6.41/6.69 (define @t3980 () (tptp.hAPP @t2987 @t1664)) % 6.41/6.69 (define @t3981 () (tptp.hAPP @t402 @t3866)) % 6.41/6.69 (define @t3982 () (tptp.hAPP @t402 @t1664)) % 6.41/6.69 (define @t3983 () (tptp.hAPP (tptp.hAPP @t553 @t3982) @t3981)) % 6.41/6.69 (define @t3984 () (tptp.hAPP @t760 @t649)) % 6.41/6.69 (define @t3985 () (tptp.hAPP @t1792 @t289)) % 6.41/6.69 (define @t3986 () (tptp.hAPP (tptp.hAPP @t3740 (tptp.hAPP (tptp.hAPP @t2909 (tptp.hAPP (tptp.hAPP @t2908 (tptp.hAPP @t2907 @t3985)) @t2)) @t2978)) @t51)) % 6.41/6.69 (define @t3987 () (tptp.hAPP @t3745 @t3866)) % 6.41/6.69 (define @t3988 () (@list @t289 @t2 @t51 @t8 @t74)) % 6.41/6.69 (define @t3989 () (tptp.hAPP @t244 @t3866)) % 6.41/6.69 (define @t3990 () (not @t3906)) % 6.41/6.69 (define @t3991 () (= @t3977 @t3976)) % 6.41/6.69 (define @t3992 () (= @t3980 @t3979)) % 6.41/6.69 (define @t3993 () (= @t3982 @t3984)) % 6.41/6.69 (define @t3994 () (@var "V_z2_2" $$unsorted)) % 6.41/6.69 (define @t3995 () (@var "V_z1_2" $$unsorted)) % 6.41/6.69 (define @t3996 () (@var "V_y2_2" $$unsorted)) % 6.41/6.69 (define @t3997 () (@var "V_y1_2" $$unsorted)) % 6.41/6.69 (define @t3998 () (tptp.hAPP @t3085 @t100)) % 6.41/6.69 (define @t3999 () (tptp.hAPP @t3088 (tptp.hAPP @t3998 @t261))) % 6.41/6.69 (define @t4000 () (tptp.c_Equiv__Relations_Ocongruent @t8 @t74 @t2917 @t2)) % 6.41/6.69 (define @t4001 () (tptp.hAPP @t3088 (tptp.hAPP @t3086 @t43))) % 6.41/6.69 (define @t4002 () (tptp.hBOOL (tptp.hAPP @t4001 @t2917))) % 6.41/6.69 (define @t4003 () (tptp.hAPP @t2 @t43)) % 6.41/6.69 (define @t4004 () (= @t5 @t4003)) % 6.41/6.69 (define @t4005 () (tptp.hAPP @t136 @t43)) % 6.41/6.69 (define @t4006 () (tptp.hBOOL (tptp.hAPP @t4005 @t51))) % 6.41/6.69 (define @t4007 () (tptp.hAPP (tptp.hAPP @t2183 @t138) @t2)) % 6.41/6.69 (define @t4008 () (@var "V_X2_2" $$unsorted)) % 6.41/6.69 (define @t4009 () (@var "V_X1_2" $$unsorted)) % 6.41/6.69 (define @t4010 () (tptp.c_member @t2190)) % 6.41/6.69 (define @t4011 () (@var "B_x2" $$unsorted)) % 6.41/6.69 (define @t4012 () (tptp.c_member @t273)) % 6.41/6.69 (define @t4013 () (tptp.hBOOL (tptp.hAPP @t137 @t3866))) % 6.41/6.69 (define @t4014 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2931)) % 6.41/6.69 (define @t4015 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2944)) % 6.41/6.69 (define @t4016 () (tptp.hAPP @t2981 @t289)) % 6.41/6.69 (define @t4017 () (tptp.hAPP (tptp.hAPP @t1662 @t1791) @t3487)) % 6.41/6.69 (define @t4018 () (tptp.hBOOL (tptp.hAPP @t137 (tptp.hAPP (tptp.hAPP @t3864 @t1791) @t3487)))) % 6.41/6.69 (define @t4019 () (forall @t7 (=> @t4018 @t3490))) % 6.41/6.69 (define @t4020 () (@list @t2 @t3487 @t1791 @t8 @t74)) % 6.41/6.69 (define @t4021 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4015 @t51) @t289) @t73) @t100))) % 6.41/6.69 (define @t4022 () (tptp.hAPP @t3745 @t3487)) % 6.41/6.69 (define @t4023 () (tptp.hAPP @t3745 @t1791)) % 6.41/6.69 (define @t4024 () (tptp.hAPP @t3876 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t356))) % 6.41/6.69 (define @t4025 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t51)) % 6.41/6.69 (define @t4026 () (tptp.hAPP @t3876 @t4025)) % 6.41/6.69 (define @t4027 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t104)) % 6.41/6.69 (define @t4028 () (=> @t249 (= @t4027 @t4026))) % 6.41/6.69 (define @t4029 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t289)) % 6.41/6.69 (define @t4030 () (tptp.hAPP (tptp.hAPP @t3869 @t4025) @t4029)) % 6.41/6.69 (define @t4031 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t1664)) % 6.41/6.69 (define @t4032 () (= @t4031 @t4030)) % 6.41/6.69 (define @t4033 () (tptp.hAPP (tptp.hAPP @t3869 @t3) @t43)) % 6.41/6.69 (define @t4034 () (tptp.c_Fun_Oinj__on @t8 @t3513 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3068 @t3513) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 (tptp.tc_fun @t3068 @t3513) @t8) @t3818) @t1577)) @t2917) @t51)) % 6.41/6.69 (define @t4035 () (tptp.c_Finite__Set_Ofold__image @t74 @t8 @t1430)) % 6.41/6.69 (define @t4036 () (tptp.hAPP @t4035 @t1)) % 6.41/6.69 (define @t4037 () (tptp.hAPP @t4036 @t2986)) % 6.41/6.69 (define @t4038 () (tptp.hAPP @t4037 @t51)) % 6.41/6.69 (define @t4039 () (tptp.hAPP @t1430 @t4038)) % 6.41/6.69 (define @t4040 () (tptp.hAPP @t4039 (tptp.hAPP @t4037 @t289))) % 6.41/6.69 (define @t4041 () (tptp.hAPP @t4037 @t1664)) % 6.41/6.69 (define @t4042 () (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t51)) % 6.41/6.69 (define @t4043 () (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t289)) % 6.41/6.69 (define @t4044 () (@list @t51 @t289 @t2 @t74 @t8)) % 6.41/6.69 (define @t4045 () (= @t115 @t1676)) % 6.41/6.69 (define @t4046 () (@list @t100 @t73 @t51 @t2 @t74 @t8)) % 6.41/6.69 (define @t4047 () (= @t4045 @t328)) % 6.41/6.69 (define @t4048 () (not @t4045)) % 6.41/6.69 (define @t4049 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t8 @t74 @t2) @t1)) % 6.41/6.69 (define @t4050 () (tptp.hAPP @t4049 @t261)) % 6.41/6.69 (define @t4051 () (tptp.hAPP (tptp.hAPP @t2968 @t2) @t1)) % 6.41/6.69 (define @t4052 () (@list @t1 @t2 @t74 @t8)) % 6.41/6.69 (define @t4053 () (tptp.c_Fun_Oinj__on @t74 @t8 @t2 @t51)) % 6.41/6.69 (define @t4054 () (= (= @t1089 @t1112) @t297)) % 6.41/6.69 (define @t4055 () (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t1664)) % 6.41/6.69 (define @t4056 () (= @t1260 @t403)) % 6.41/6.69 (define @t4057 () (tptp.hAPP @t4050 @t51)) % 6.41/6.69 (define @t4058 () (tptp.c_Fun_Oinj__on @t8 @t8 @t2 @t51)) % 6.41/6.69 (define @t4059 () (tptp.c_Set_Oimage @t8 @t8 @t2)) % 6.41/6.69 (define @t4060 () (tptp.hAPP @t4059 @t51)) % 6.41/6.69 (define @t4061 () (= (tptp.hAPP @t1088 @t3866) (tptp.hAPP (tptp.hAPP @t3950 @t1089) @t1112))) % 6.41/6.69 (define @t4062 () (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t721)) % 6.41/6.69 (define @t4063 () (@list @t289 @t51 @t721 @t2 @t74 @t8)) % 6.41/6.69 (define @t4064 () (tptp.hAPP @t1088 @t311)) % 6.41/6.69 (define @t4065 () (= @t4064 (tptp.hAPP (tptp.hAPP @t274 @t1089) @t1112))) % 6.41/6.69 (define @t4066 () (tptp.hAPP @t350 @t100)) % 6.41/6.69 (define @t4067 () (tptp.hBOOL (tptp.hAPP @t4066 @t1089))) % 6.41/6.69 (define @t4068 () (tptp.c_Set_Oimage @t74 @t8 @t1)) % 6.41/6.69 (define @t4069 () (tptp.hBOOL (tptp.hAPP @t1113 @t289))) % 6.41/6.69 (define @t4070 () (tptp.hAPP @t4035 @t1096)) % 6.41/6.69 (define @t4071 () (tptp.hAPP @t4036 @t261)) % 6.41/6.69 (define @t4072 () (tptp.hAPP @t4071 @t51)) % 6.41/6.69 (define @t4073 () (tptp.hAPP @t1 @t13)) % 6.41/6.69 (define @t4074 () (tptp.class_Groups_Oab__semigroup__mult @t74)) % 6.41/6.69 (define @t4075 () (=> @t184 (= @t3742 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t74 @t8 @t1433) @t1) @t2978) @t51)))) % 6.41/6.69 (define @t4076 () (=> @t184 (= @t2988 @t4038))) % 6.41/6.69 (define @t4077 () (tptp.hAPP @t350 @t530)) % 6.41/6.69 (define @t4078 () (tptp.hBOOL (tptp.hAPP @t891 @t759))) % 6.41/6.69 (define @t4079 () (tptp.hAPP @t997 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t74 @t3232) @t51))) % 6.41/6.69 (define @t4080 () (tptp.c_Fun_Oinj__on @t8 @t74 @t3232 @t51)) % 6.41/6.69 (define @t4081 () (=> @t184 (= @t403 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t8 @t553) @t3748) @t1074) @t51)))) % 6.41/6.69 (define @t4082 () (@var "B_g" $$unsorted)) % 6.41/6.69 (define @t4083 () (tptp.hAPP @t244 @t1)) % 6.41/6.69 (define @t4084 () (tptp.hAPP @t4083 @t51)) % 6.41/6.69 (define @t4085 () (=> (not @t260) (= @t4084 @t261))) % 6.41/6.69 (define @t4086 () (=> @t260 (= @t4084 @t4057))) % 6.41/6.69 (define @t4087 () (tptp.c_Big__Operators_Ocomm__monoid__big @t8 @t74 @t2 @t261 @t244)) % 6.41/6.69 (define @t4088 () (@list @t1 @t51 @t244 @t261 @t2 @t74 @t8)) % 6.41/6.69 (define @t4089 () (tptp.hAPP (tptp.hAPP @t4035 @t2) @t2986)) % 6.41/6.69 (define @t4090 () (tptp.hAPP @t4089 @t1791)) % 6.41/6.69 (define @t4091 () (@var "V_m_H_2" $$unsorted)) % 6.41/6.69 (define @t4092 () (tptp.c_Map_Odom @t8 @t74 @t4091)) % 6.41/6.69 (define @t4093 () (tptp.hAPP (tptp.c_COMBC @t74 @t8 @t3674) @t3251)) % 6.41/6.69 (define @t4094 () (tptp.c_Fun_Othe__inv__into @t8 @t74 @t51 @t2)) % 6.41/6.69 (define @t4095 () (tptp.hAPP @t4094 @t73)) % 6.41/6.69 (define @t4096 () (tptp.hAPP @t116 @t3)) % 6.41/6.69 (define @t4097 () (tptp.hAPP @t4094 @t100)) % 6.41/6.69 (define @t4098 () (@list @t73 @t51 @t2 @t74 @t8)) % 6.41/6.69 (define @t4099 () (forall @t7 (=> @t3491 @t2979))) % 6.41/6.69 (define @t4100 () (tptp.c_Orderings_Oord__class_Oless @t74)) % 6.41/6.69 (define @t4101 () (tptp.c_SetInterval_Oord__class_OatLeast @t8)) % 6.41/6.69 (define @t4102 () (tptp.c_COMBK @t1636 @t8)) % 6.41/6.69 (define @t4103 () (tptp.hAPP @t4101 @t100)) % 6.41/6.69 (define @t4104 () (tptp.hAPP @t4101 @t73)) % 6.41/6.69 (define @t4105 () (tptp.hAPP @t4101 @t205)) % 6.41/6.69 (define @t4106 () (tptp.hAPP @t4101 @t1468)) % 6.41/6.69 (define @t4107 () (tptp.hAPP @t4101 @t1010)) % 6.41/6.69 (define @t4108 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t4109 () (tptp.c_Groups_Ominus__class_Ominus @t1900)) % 6.41/6.69 (define @t4110 () (tptp.hAPP @t4108 @t878)) % 6.41/6.69 (define @t4111 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t8)) % 6.41/6.69 (define @t4112 () (tptp.hAPP @t4111 @t1468)) % 6.41/6.69 (define @t4113 () (tptp.hAPP @t4111 @t1010)) % 6.41/6.69 (define @t4114 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t4115 () (tptp.hAPP @t4114 @t205)) % 6.41/6.69 (define @t4116 () (tptp.hAPP @t4111 @t100)) % 6.41/6.69 (define @t4117 () (tptp.hAPP @t4111 @t73)) % 6.41/6.69 (define @t4118 () (tptp.hAPP @t4111 @t205)) % 6.41/6.69 (define @t4119 () (@var "B_z" $$unsorted)) % 6.41/6.69 (define @t4120 () (@list @t4119)) % 6.41/6.69 (define @t4121 () (forall @t7 (=> @t1915 @t6))) % 6.41/6.69 (define @t4122 () (@list @t1 @t2 @t289 @t51 @t8)) % 6.41/6.69 (define @t4123 () (tptp.c_Divides_Opdivmod @t205 @t1468)) % 6.41/6.69 (define @t4124 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 6.41/6.69 (define @t4125 () (tptp.hAPP (tptp.hAPP @t3103 (tptp.hAPP (tptp.hAPP @t3102 (tptp.hAPP @t3101 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2920 @t3100 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2920 @t2922) (tptp.hAPP @t2923 @t3113))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2920) (tptp.hAPP @t3093 @t1409)) @t1480)))) (tptp.hAPP (tptp.hAPP @t3098 (tptp.hAPP @t3097 (tptp.hAPP @t3093 (tptp.hAPP (tptp.hAPP @t3094 (tptp.hAPP (tptp.hAPP @t2790 @t1408) @t1409)) @t1477)))) (tptp.hAPP @t1408 (tptp.hAPP @t4124 @t1468))))) @t4123)) % 6.41/6.69 (define @t4126 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1468)) % 6.41/6.69 (define @t4127 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t1402 @t4126))) % 6.41/6.69 (define @t4128 () (tptp.c_Divides_Odivmod__int @t205 @t1468)) % 6.41/6.69 (define @t4129 () (= @t1468 @t1480)) % 6.41/6.69 (define @t4130 () (not @t4129)) % 6.41/6.69 (define @t4131 () (=> @t4129 (= @t4128 (tptp.hAPP @t3060 @t205)))) % 6.41/6.69 (define @t4132 () (=> @t2599 (= @t4128 @t3074))) % 6.41/6.69 (define @t4133 () (tptp.hAPP (tptp.hAPP @t1402 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t4124 (tptp.hAPP @t1812 @t513))) @t1477)) @t715)) % 6.41/6.69 (define @t4134 () (tptp.hBOOL (tptp.hAPP @t1481 @t715))) % 6.41/6.69 (define @t4135 () (tptp.c_Groups_Oabs__class_Oabs @t8)) % 6.41/6.69 (define @t4136 () (tptp.hAPP (tptp.hAPP @t3738 @t4135) @t2)) % 6.41/6.69 (define @t4137 () (tptp.hAPP (tptp.hAPP @t3715 @t4136) @t51)) % 6.41/6.69 (define @t4138 () (tptp.class_Groups_Oordered__ab__group__add__abs @t8)) % 6.41/6.69 (define @t4139 () (tptp.c_Product__Type_OPair @t8 @t210)) % 6.41/6.69 (define @t4140 () (tptp.hAPP (tptp.hAPP @t4139 @t73) @t100)) % 6.41/6.69 (define @t4141 () (tptp.c_Product__Type_Oapsnd @t210 @t74 @t8 @t2)) % 6.41/6.69 (define @t4142 () (tptp.hAPP @t4135 @t39)) % 6.41/6.69 (define @t4143 () (tptp.hAPP @t4135 @t348)) % 6.41/6.69 (define @t4144 () (= (tptp.hAPP @t4135 @t3319) (tptp.hAPP (tptp.hAPP @t3314 @t4143) @t4142))) % 6.41/6.69 (define @t4145 () (tptp.hAPP @t2648 @t4143)) % 6.41/6.69 (define @t4146 () (tptp.hAPP @t4145 @t336)) % 6.41/6.69 (define @t4147 () (tptp.hAPP @t4135 @t2761)) % 6.41/6.69 (define @t4148 () (tptp.hAPP (tptp.hAPP @t676 @t4143) @t4142)) % 6.41/6.69 (define @t4149 () (tptp.hAPP @t754 @t4143)) % 6.41/6.69 (define @t4150 () (tptp.hAPP @t4149 @t4142)) % 6.41/6.69 (define @t4151 () (= (tptp.hAPP @t4135 @t796) @t4150)) % 6.41/6.69 (define @t4152 () (tptp.hAPP @t4135 @t13)) % 6.41/6.69 (define @t4153 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t4143) @t39))) % 6.41/6.69 (define @t4154 () (tptp.hAPP @t4135 @t899)) % 6.41/6.69 (define @t4155 () (tptp.hAPP @t4135 @t684)) % 6.41/6.69 (define @t4156 () (tptp.hAPP @t777 @t4152)) % 6.41/6.69 (define @t4157 () (= @t4143 @t348)) % 6.41/6.69 (define @t4158 () (tptp.hAPP @t476 @t4143)) % 6.41/6.69 (define @t4159 () (tptp.hAPP @t4141 @t73)) % 6.41/6.69 (define @t4160 () (@list @t73 @t2 @t210 @t74 @t8)) % 6.41/6.69 (define @t4161 () (tptp.hAPP (tptp.hAPP @t392 @t4143) @t4142)) % 6.41/6.69 (define @t4162 () (tptp.hAPP @t777 @t4161)) % 6.41/6.69 (define @t4163 () (tptp.hAPP @t777 @t785)) % 6.41/6.69 (define @t4164 () (tptp.hBOOL (tptp.hAPP @t4163 @t39))) % 6.41/6.69 (define @t4165 () (tptp.hAPP @t3256 @t73)) % 6.41/6.69 (define @t4166 () (@list @t73 @t2 @t210 @t8 @t74)) % 6.41/6.69 (define @t4167 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t8 @t210) @t73)) % 6.41/6.69 (define @t4168 () (tptp.hAPP @t4124 @t556)) % 6.41/6.69 (define @t4169 () (tptp.hAPP @t4124 @t561)) % 6.41/6.69 (define @t4170 () (tptp.c_Divides_Opdivmod @t561 @t556)) % 6.41/6.69 (define @t4171 () (tptp.hAPP @t4135 @t95)) % 6.41/6.69 (define @t4172 () (= @t556 @t1480)) % 6.41/6.69 (define @t4173 () (= @t4143 @t785)) % 6.41/6.69 (define @t4174 () (=> @t1201 @t4173)) % 6.41/6.69 (define @t4175 () (tptp.hAPP @t4124 @t592)) % 6.41/6.69 (define @t4176 () (tptp.hBOOL (tptp.hAPP @t1487 @t1480))) % 6.41/6.69 (define @t4177 () (tptp.hAPP @t4124 @t95)) % 6.41/6.69 (define @t4178 () (tptp.hAPP @t1372 @t95)) % 6.41/6.69 (define @t4179 () (tptp.hAPP @t4135 @t4178)) % 6.41/6.69 (define @t4180 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t4178) @t1082))) % 6.41/6.69 (define @t4181 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t4124 @t284))) % 6.41/6.69 (define @t4182 () (tptp.hAPP tptp.c_Int_Onat @t4177)) % 6.41/6.69 (define @t4183 () (tptp.c_Product__Type_Osnd @t210 @t3169)) % 6.41/6.69 (define @t4184 () (tptp.hAPP @t1 (tptp.hAPP @t4183 @t73))) % 6.41/6.69 (define @t4185 () (tptp.c_Product__Type_Ofst @t210 @t3169)) % 6.41/6.69 (define @t4186 () (tptp.hAPP @t2 (tptp.hAPP @t4185 @t73))) % 6.41/6.69 (define @t4187 () (tptp.c_Product__Type_Oapfst @t210 @t8 @t74 @t2)) % 6.41/6.69 (define @t4188 () (@list @t73 @t1 @t3169 @t2 @t74 @t8 @t210)) % 6.41/6.69 (define @t4189 () (tptp.c_Product__Type_OPair @t210 @t74)) % 6.41/6.69 (define @t4190 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t210 @t74) @t73)) % 6.41/6.69 (define @t4191 () (tptp.hAPP @t2 @t4190)) % 6.41/6.69 (define @t4192 () (tptp.hAPP @t4187 @t73)) % 6.41/6.69 (define @t4193 () (tptp.c_Product__Type_Oapfst @t3169 @t8 @t210 @t1)) % 6.41/6.69 (define @t4194 () (tptp.c_Nitpick_Onat__gcd @t95 @t284)) % 6.41/6.69 (define @t4195 () (= @t284 @t1074)) % 6.41/6.69 (define @t4196 () (tptp.c_Product__Type_Osnd @t3169 @t210)) % 6.41/6.69 (define @t4197 () (@list @t73 @t1 @t3169 @t2 @t8 @t74 @t210)) % 6.41/6.69 (define @t4198 () (tptp.c_Nitpick_Onat__gcd @t73 @t100)) % 6.41/6.69 (define @t4199 () (= @t100 @t1074)) % 6.41/6.69 (define @t4200 () (tptp.c_Wellfounded_Oaccp @t3146 tptp.c_Nitpick_Onat__gcd__rel)) % 6.41/6.69 (define @t4201 () (tptp.c_Orderings_Otop__class_Otop @t8)) % 6.41/6.69 (define @t4202 () (tptp.c_Orderings_Otop__class_Otop @t55)) % 6.41/6.69 (define @t4203 () (tptp.c_Orderings_Otop__class_Otop @t1900)) % 6.41/6.69 (define @t4204 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t1900) @t4203)) % 6.41/6.69 (define @t4205 () (tptp.tc_fun @t407 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4206 () (tptp.c_Orderings_Otop__class_Otop @t4205)) % 6.41/6.69 (define @t4207 () (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t4202)) % 6.41/6.69 (define @t4208 () (tptp.class_Lattices_Obounded__lattice__top @t8)) % 6.41/6.69 (define @t4209 () (tptp.c_Orderings_Otop__class_Otop @t3513)) % 6.41/6.69 (define @t4210 () (tptp.class_Orderings_Otop @t8)) % 6.41/6.69 (define @t4211 () (tptp.c_Orderings_Otop__class_Otop @t1073)) % 6.41/6.69 (define @t4212 () (tptp.c_Orderings_Otop__class_Otop @t273)) % 6.41/6.69 (define @t4213 () (tptp.c_Orderings_Otop__class_Otop @t2931)) % 6.41/6.69 (define @t4214 () (tptp.c_Finite__Set_Ofinite @t2930)) % 6.41/6.69 (define @t4215 () (tptp.hBOOL (tptp.hAPP @t259 @t4212))) % 6.41/6.69 (define @t4216 () (tptp.hBOOL (tptp.hAPP @t182 @t4202))) % 6.41/6.69 (define @t4217 () (tptp.c_Finite__Set_Ofinite @t407)) % 6.41/6.69 (define @t4218 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t819 tptp.tc_HOL_Obool))) % 6.41/6.69 (define @t4219 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t819) @t4218))) % 6.41/6.69 (define @t4220 () (tptp.c_Set_Oimage @t74 @t210 @t1)) % 6.41/6.69 (define @t4221 () (tptp.c_Set_Oimage @t210 @t8 @t2)) % 6.41/6.69 (define @t4222 () (tptp.c_Orderings_Otop__class_Otop @t3433)) % 6.41/6.69 (define @t4223 () (tptp.hAPP @t1093 @t4212)) % 6.41/6.69 (define @t4224 () (tptp.hAPP @t136 @t115)) % 6.41/6.69 (define @t4225 () (tptp.hAPP @t402 @t4202)) % 6.41/6.69 (define @t4226 () (tptp.hAPP @t2183 @t4202)) % 6.41/6.69 (define @t4227 () (tptp.hAPP (tptp.c_COMBC @t74 @t273 tptp.tc_HOL_Obool) @t350)) % 6.41/6.69 (define @t4228 () (tptp.hAPP (tptp.hAPP @t2430 @t4227) @t2917)) % 6.41/6.69 (define @t4229 () (@list @t73 @t2917 @t74 @t8)) % 6.41/6.69 (define @t4230 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 @t418 @t8) @t127) @t2)) % 6.41/6.69 (define @t4231 () (tptp.tc_fun @t210 @t74)) % 6.41/6.69 (define @t4232 () (= @t43 @t3)) % 6.41/6.69 (define @t4233 () (= (tptp.hAPP @t4059 @t4202) @t4202)) % 6.41/6.69 (define @t4234 () (tptp.c_Fun_Oinj__on @t8 @t8 @t2 @t4202)) % 6.41/6.69 (define @t4235 () (@list @t2 @t8)) % 6.41/6.69 (define @t4236 () (tptp.c_Groups_Ouminus__class_Ouminus @t273)) % 6.41/6.69 (define @t4237 () (tptp.hAPP @t4236 @t51)) % 6.41/6.69 (define @t4238 () (= @t4223 @t4202)) % 6.41/6.69 (define @t4239 () (tptp.hBOOL (tptp.hAPP @t4217 (tptp.hAPP (tptp.c_Set_Oimage @t74 @t407 @t2) @t4212)))) % 6.41/6.69 (define @t4240 () (tptp.hAPP @t3641 @t4203)) % 6.41/6.69 (define @t4241 () (tptp.hAPP @t4240 @t51)) % 6.41/6.69 (define @t4242 () (tptp.tc_fun tptp.tc_Nat_Onat @t55)) % 6.41/6.69 (define @t4243 () (tptp.tc_fun @t3168 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4244 () (tptp.c_member @t3168)) % 6.41/6.69 (define @t4245 () (tptp.hAPP @t4244 (tptp.hAPP (tptp.hAPP @t3134 @t73) @t100))) % 6.41/6.69 (define @t4246 () (tptp.tc_fun @t4243 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4247 () (tptp.tc_fun @t210 @t4246)) % 6.41/6.69 (define @t4248 () (tptp.tc_fun @t210 @t3168)) % 6.41/6.69 (define @t4249 () (tptp.hAPP (tptp.c_COMBC @t74 @t4243 @t2190) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4247 (tptp.tc_fun @t4243 @t2190) @t74) (tptp.c_COMBC @t210 @t4243 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4248 @t4247 @t74) (tptp.hAPP (tptp.c_COMBB @t3168 @t4246 @t210) @t4244)) @t3134)))) % 6.41/6.69 (define @t4250 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4243 @t2191 @t8) @t4249) @t2917)) % 6.41/6.69 (define @t4251 () (@list @t100 @t73 @t2917 @t210 @t74 @t8)) % 6.41/6.69 (define @t4252 () (tptp.hAPP @t117 @t43)) % 6.41/6.69 (define @t4253 () (tptp.hAPP @t4240 @t289)) % 6.41/6.69 (define @t4254 () (tptp.hAPP @t744 @t4241)) % 6.41/6.69 (define @t4255 () (tptp.hAPP (tptp.hAPP @t3641 (tptp.hAPP @t3621 (tptp.hAPP (tptp.hAPP @t553 @t427) @t205))) @t289)) % 6.41/6.69 (define @t4256 () (tptp.hAPP (tptp.hAPP @t3641 (tptp.hAPP @t3621 @t427)) @t51)) % 6.41/6.69 (define @t4257 () (tptp.hAPP @t744 @t4256)) % 6.41/6.69 (define @t4258 () (@list @t289 @t205 @t51 @t8)) % 6.41/6.69 (define @t4259 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t74)) % 6.41/6.69 (define @t4260 () (tptp.c_Finite__Set_Ofold @t8 @t74 (tptp.hAPP (tptp.hAPP @t2166 @t4259) @t2))) % 6.41/6.69 (define @t4261 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t74)) % 6.41/6.69 (define @t4262 () (tptp.hAPP @t4261 @t51)) % 6.41/6.69 (define @t4263 () (tptp.hAPP @t4262 @t2)) % 6.41/6.69 (define @t4264 () (tptp.hBOOL (tptp.hAPP @t381 @t51))) % 6.41/6.69 (define @t4265 () (tptp.hBOOL (tptp.hAPP @t329 @t2187))) % 6.41/6.69 (define @t4266 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t55)) % 6.41/6.69 (define @t4267 () (tptp.hAPP @t4266 @t51)) % 6.41/6.69 (define @t4268 () (tptp.hAPP @t4267 @t289)) % 6.41/6.69 (define @t4269 () (tptp.hBOOL (tptp.hAPP @t329 @t4268))) % 6.41/6.69 (define @t4270 () (@list @t13 @t289 @t51 @t74 @t58 @t8)) % 6.41/6.69 (define @t4271 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t273)) % 6.41/6.69 (define @t4272 () (tptp.hAPP @t4271 @t51)) % 6.41/6.69 (define @t4273 () (tptp.hAPP @t4272 @t289)) % 6.41/6.69 (define @t4274 () (tptp.hBOOL (tptp.hAPP @t4273 @t58))) % 6.41/6.69 (define @t4275 () (@list @t13 @t58 @t289 @t51 @t74 @t8)) % 6.41/6.69 (define @t4276 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t2191)) % 6.41/6.69 (define @t4277 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4276 @t51) @t289) @t58) @t18))) % 6.41/6.69 (define @t4278 () (@list @t13 @t18 @t58 @t289 @t51 @t210 @t74 @t8)) % 6.41/6.69 (define @t4279 () (tptp.hAPP (tptp.hAPP @t4271 @t2383) @t51)) % 6.41/6.69 (define @t4280 () (forall @t7 (=> @t742 (= @t2209 @t4202)))) % 6.41/6.69 (define @t4281 () (tptp.hAPP @t4272 @t2379)) % 6.41/6.69 (define @t4282 () (tptp.hAPP @t4271 @t4202)) % 6.41/6.69 (define @t4283 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t210 @t55)) % 6.41/6.69 (define @t4284 () (tptp.hAPP @t4283 @t51)) % 6.41/6.69 (define @t4285 () (tptp.hAPP @t4266 @t2383)) % 6.41/6.69 (define @t4286 () (tptp.hAPP @t4285 @t51)) % 6.41/6.69 (define @t4287 () (tptp.hAPP @t4266 @t721)) % 6.41/6.69 (define @t4288 () (tptp.hAPP @t4287 @t289)) % 6.41/6.69 (define @t4289 () (tptp.hAPP @t1663 @t4288)) % 6.41/6.69 (define @t4290 () (tptp.hAPP @t4287 (tptp.hAPP (tptp.hAPP @t3935 @t1663) @t289))) % 6.41/6.69 (define @t4291 () (tptp.hAPP (tptp.hAPP @t1662 (tptp.hAPP @t4287 @t51)) @t289)) % 6.41/6.69 (define @t4292 () (tptp.hAPP @t4287 (tptp.hAPP (tptp.hAPP @t2295 @t2397) @t289))) % 6.41/6.69 (define @t4293 () (tptp.hAPP @t4283 @t3929)) % 6.41/6.69 (define @t4294 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t8)) % 6.41/6.69 (define @t4295 () (tptp.hAPP @t4294 @t51)) % 6.41/6.69 (define @t4296 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t210 @t8) @t289)) % 6.41/6.69 (define @t4297 () (tptp.hAPP @t53 @t4288)) % 6.41/6.69 (define @t4298 () (tptp.hAPP @t4287 (tptp.hAPP (tptp.hAPP @t3935 @t53) @t289))) % 6.41/6.69 (define @t4299 () (tptp.hAPP (tptp.hAPP @t2398 @t3925) @t289)) % 6.41/6.69 (define @t4300 () (tptp.hAPP @t777 @t1010)) % 6.41/6.69 (define @t4301 () (tptp.hAPP (tptp.hAPP @t2450 @t3950) @t51)) % 6.41/6.69 (define @t4302 () (tptp.hAPP @t4271 @t721)) % 6.41/6.69 (define @t4303 () (tptp.hAPP @t4302 (tptp.hAPP (tptp.hAPP @t2452 @t4301) @t289))) % 6.41/6.69 (define @t4304 () (tptp.hAPP @t4302 @t51)) % 6.41/6.69 (define @t4305 () (tptp.hAPP (tptp.hAPP @t3950 @t4304) @t289)) % 6.41/6.69 (define @t4306 () (tptp.hAPP @t4302 (tptp.hAPP (tptp.hAPP @t2430 @t3951) @t289))) % 6.41/6.69 (define @t4307 () (tptp.hAPP @t3951 (tptp.hAPP @t4302 @t289))) % 6.41/6.69 (define @t4308 () (tptp.hAPP (tptp.hAPP @t274 @t4304) @t289)) % 6.41/6.69 (define @t4309 () (tptp.hAPP (tptp.hAPP @t2450 @t274) @t51)) % 6.41/6.69 (define @t4310 () (tptp.hAPP @t4302 (tptp.hAPP (tptp.hAPP @t2452 @t4309) @t289))) % 6.41/6.69 (define @t4311 () (tptp.hAPP @t310 @t4288)) % 6.41/6.69 (define @t4312 () (tptp.hAPP @t2421 (tptp.hAPP (tptp.hAPP @t3935 @t310) @t289))) % 6.41/6.69 (define @t4313 () (tptp.hAPP @t4284 @t3668)) % 6.41/6.69 (define @t4314 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t210 @t273) @t51)) % 6.41/6.69 (define @t4315 () (tptp.hAPP @t4314 @t289)) % 6.41/6.69 (define @t4316 () (tptp.hAPP @t3667 @t4315)) % 6.41/6.69 (define @t4317 () (tptp.hAPP (tptp.hAPP @t3935 @t749) @t289)) % 6.41/6.69 (define @t4318 () (tptp.hAPP @t4302 (tptp.hAPP (tptp.hAPP @t2430 @t388) @t289))) % 6.41/6.69 (define @t4319 () (tptp.hAPP @t388 @t2440)) % 6.41/6.69 (define @t4320 () (@list @t721 @t51 @t8)) % 6.41/6.69 (define @t4321 () (tptp.c_member @t3433)) % 6.41/6.69 (define @t4322 () (tptp.hAPP @t201 @t100)) % 6.41/6.69 (define @t4323 () (tptp.hBOOL (tptp.hAPP @t3297 @t100))) % 6.41/6.69 (define @t4324 () (tptp.c_Equiv__Relations_Oequivp @t8 @t201)) % 6.41/6.69 (define @t4325 () (tptp.hAPP @t201 @t3)) % 6.41/6.69 (define @t4326 () (@list @t201 @t8)) % 6.41/6.69 (define @t4327 () (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t51)) % 6.41/6.69 (define @t4328 () (tptp.c_Wellfounded_Oacc @t8 @t2917)) % 6.41/6.69 (define @t4329 () (tptp.hBOOL (tptp.hAPP @t283 @t4328))) % 6.41/6.69 (define @t4330 () (tptp.hAPP @t3466 @t2917)) % 6.41/6.69 (define @t4331 () (@list @t73 @t2917 @t8)) % 6.41/6.69 (define @t4332 () (tptp.hAPP @t3510 @t3)) % 6.41/6.69 (define @t4333 () (tptp.hAPP @t136 @t51)) % 6.41/6.69 (define @t4334 () (tptp.hBOOL (tptp.hAPP @t4333 @t138))) % 6.41/6.69 (define @t4335 () (tptp.hBOOL (tptp.hAPP @t3840 @t721))) % 6.41/6.69 (define @t4336 () (tptp.hBOOL (tptp.hAPP @t4333 (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t721)))) % 6.41/6.69 (define @t4337 () (forall @t7 (=> @t363 (tptp.hBOOL (tptp.hAPP @t807 @t3))))) % 6.41/6.69 (define @t4338 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t55 @t55)) % 6.41/6.69 (define @t4339 () (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t289)) % 6.41/6.69 (define @t4340 () (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t51)) % 6.41/6.69 (define @t4341 () (tptp.hAPP @t744 @t4340)) % 6.41/6.69 (define @t4342 () (tptp.hBOOL (tptp.hAPP @t4341 @t289))) % 6.41/6.69 (define @t4343 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3510 @t289) @t51))) % 6.41/6.69 (define @t4344 () (tptp.hAPP (tptp.hAPP @t3515 @t13) @t289)) % 6.41/6.69 (define @t4345 () (tptp.hAPP (tptp.hAPP @t3516 @t51) @t289)) % 6.41/6.69 (define @t4346 () (tptp.c_Set_Oimage @t74 @t55 @t289)) % 6.41/6.69 (define @t4347 () (tptp.hAPP @t4346 @t51)) % 6.41/6.69 (define @t4348 () (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t4347)) % 6.41/6.69 (define @t4349 () (@list @t51 @t289 @t74 @t8)) % 6.41/6.69 (define @t4350 () (tptp.hBOOL (tptp.hAPP @t298 @t4328))) % 6.41/6.69 (define @t4351 () (tptp.hBOOL (tptp.hAPP @t329 @t4328))) % 6.41/6.69 (define @t4352 () (tptp.hBOOL (tptp.hAPP @t137 @t4328))) % 6.41/6.69 (define @t4353 () (@list @t2917 @t13 @t8)) % 6.41/6.69 (define @t4354 () (tptp.hAPP (tptp.hAPP @t3515 @t51) (tptp.hAPP (tptp.hAPP @t3515 @t289) @t3514))) % 6.41/6.69 (define @t4355 () (tptp.hAPP @t4346 @t721)) % 6.41/6.69 (define @t4356 () (tptp.hAPP (tptp.c_Set_Oimage @t74 @t55 @t51) @t721)) % 6.41/6.69 (define @t4357 () (tptp.hAPP (tptp.hAPP @t3922 @t51) @t289)) % 6.41/6.69 (define @t4358 () (@var "V_Rep_2" $$unsorted)) % 6.41/6.69 (define @t4359 () (@var "V_Abs_2" $$unsorted)) % 6.41/6.69 (define @t4360 () (tptp.c_Typedef_Otype__definition @t8 @t74 @t4358 @t4359 @t51)) % 6.41/6.69 (define @t4361 () (@list @t51 @t4359 @t4358 @t74 @t8)) % 6.41/6.69 (define @t4362 () (tptp.hAPP @t4359 @t100)) % 6.41/6.69 (define @t4363 () (tptp.hBOOL (tptp.hAPP @t4066 @t51))) % 6.41/6.69 (define @t4364 () (@list @t100 @t73 @t51 @t4359 @t4358 @t74 @t8)) % 6.41/6.69 (define @t4365 () (tptp.c_COMBI @t55)) % 6.41/6.69 (define @t4366 () (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t1791)) % 6.41/6.69 (define @t4367 () (tptp.hAPP @t4358 @t73)) % 6.41/6.69 (define @t4368 () (@list @t73 @t51 @t4359 @t4358 @t74 @t8)) % 6.41/6.69 (define @t4369 () (tptp.hBOOL (tptp.hAPP @t2328 @t179))) % 6.41/6.69 (define @t4370 () (tptp.hBOOL (tptp.hAPP @t137 @t176))) % 6.41/6.69 (define @t4371 () (not @t1307)) % 6.41/6.69 (define @t4372 () (tptp.hBOOL (tptp.hAPP @t182 @t179))) % 6.41/6.69 (define @t4373 () (tptp.hBOOL (tptp.hAPP @t182 @t176))) % 6.41/6.69 (define @t4374 () (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t51)) % 6.41/6.69 (define @t4375 () (tptp.hAPP @t3088 (tptp.hAPP @t3086 @t2327))) % 6.41/6.69 (define @t4376 () (tptp.hBOOL (tptp.hAPP @t4375 @t201))) % 6.41/6.69 (define @t4377 () (tptp.hBOOL (tptp.hAPP @t182 @t138))) % 6.41/6.69 (define @t4378 () (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t721)) % 6.41/6.69 (define @t4379 () (tptp.hBOOL (tptp.hAPP @t4333 @t4378))) % 6.41/6.69 (define @t4380 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t273 @t55)) % 6.41/6.69 (define @t4381 () (tptp.c_Complete__Lattice_OSup__class_OSup @t273 @t51)) % 6.41/6.69 (define @t4382 () (tptp.hAPP (tptp.hAPP @t2296 @t4381) @t289)) % 6.41/6.69 (define @t4383 () (tptp.c_COMBC @t273 @t2316 @t55)) % 6.41/6.69 (define @t4384 () (tptp.hAPP @t4380 @t51)) % 6.41/6.69 (define @t4385 () (tptp.hAPP @t4384 (tptp.hAPP (tptp.hAPP @t4383 @t2296) @t289))) % 6.41/6.69 (define @t4386 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t55 @t55)) % 6.41/6.69 (define @t4387 () (tptp.hAPP @t4386 @t289)) % 6.41/6.69 (define @t4388 () (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t289)) % 6.41/6.69 (define @t4389 () (forall @t7 (=> @t363 (tptp.hBOOL (tptp.hAPP @t2047 @t58))))) % 6.41/6.69 (define @t4390 () (@list @t58 @t51 @t8)) % 6.41/6.69 (define @t4391 () (tptp.hAPP @t3864 @t3)) % 6.41/6.69 (define @t4392 () (@list @t51 @t721 @t8)) % 6.41/6.69 (define @t4393 () (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t51)) % 6.41/6.69 (define @t4394 () (tptp.hAPP @t3518 @t51)) % 6.41/6.69 (define @t4395 () (tptp.hBOOL (tptp.hAPP @t3526 @t51))) % 6.41/6.69 (define @t4396 () (tptp.hBOOL (tptp.hAPP @t182 @t4393))) % 6.41/6.69 (define @t4397 () (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t4347)) % 6.41/6.69 (define @t4398 () (tptp.hAPP (tptp.hAPP @t4266 @t4381) @t289)) % 6.41/6.69 (define @t4399 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t273 @t55) @t51) (tptp.hAPP (tptp.hAPP @t4383 @t4266) @t289))) % 6.41/6.69 (define @t4400 () (@var "B_X" $$unsorted)) % 6.41/6.69 (define @t4401 () (tptp.hAPP @t3510 @t4400)) % 6.41/6.69 (define @t4402 () (@list @t4400)) % 6.41/6.69 (define @t4403 () (tptp.c_Nitpick_Ofrac @t8)) % 6.41/6.69 (define @t4404 () (@var "B_M" $$unsorted)) % 6.41/6.69 (define @t4405 () (tptp.hAPP (tptp.hAPP @t3515 @t73) @t244)) % 6.41/6.69 (define @t4406 () (@var "B_c2" $$unsorted)) % 6.41/6.69 (define @t4407 () (@var "B_c1" $$unsorted)) % 6.41/6.69 (define @t4408 () (@var "B_c" $$unsorted)) % 6.41/6.69 (define @t4409 () (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t8)) % 6.41/6.69 (define @t4410 () (= @t3806 @t205)) % 6.41/6.69 (define @t4411 () (tptp.hBOOL (tptp.hAPP @t1335 @t281))) % 6.41/6.69 (define @t4412 () (tptp.hBOOL (tptp.hAPP @t1469 @t3772))) % 6.41/6.69 (define @t4413 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 (tptp.hAPP @t4124 (tptp.hAPP (tptp.hAPP @t1408 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t553 @t1332) @t467))) @t3806))) @t1477))) % 6.41/6.69 (define @t4414 () (tptp.hAPP @t472 @t1332)) % 6.41/6.69 (define @t4415 () (tptp.hBOOL (tptp.hAPP @t4414 @t281))) % 6.41/6.69 (define @t4416 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2940 @t273 @t8) (tptp.hAPP (tptp.c_COMBB @t2930 tptp.tc_HOL_Obool @t74) @t117)) @t2933)) % 6.41/6.69 (define @t4417 () (tptp.hAPP @t3130 @t4416)) % 6.41/6.69 (define @t4418 () (@list @t117 @t74 @t8)) % 6.41/6.69 (define @t4419 () (tptp.hAPP tptp.c_fequal @t73)) % 6.41/6.69 (define @t4420 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t74)) % 6.41/6.69 (define @t4421 () (tptp.hAPP (tptp.c_COMBB @t1632 @t2449 @t8) @t4420)) % 6.41/6.69 (define @t4422 () (tptp.hAPP @t3130 (tptp.hAPP (tptp.hAPP @t2452 (tptp.hAPP @t4421 (tptp.hAPP @t3827 @t4419))) @t1797))) % 6.41/6.69 (define @t4423 () (tptp.c_COMBB @t74 @t273 @t8)) % 6.41/6.69 (define @t4424 () (tptp.hAPP (tptp.hAPP @t4423 tptp.c_fequal) @t2)) % 6.41/6.69 (define @t4425 () (tptp.c_COMBC @t8 @t74 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4426 () (tptp.hAPP @t4425 @t4424)) % 6.41/6.69 (define @t4427 () (tptp.hAPP @t3827 @t3580)) % 6.41/6.69 (define @t4428 () (tptp.c_COMBS @t8 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4429 () (tptp.hAPP @t4428 @t4427)) % 6.41/6.69 (define @t4430 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2930 @t74 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t273 @t2930) @t117) @t3250)) @t3249)) % 6.41/6.69 (define @t4431 () (tptp.hAPP @t3130 @t117)) % 6.41/6.69 (define @t4432 () (tptp.c_Partial__Function_Oflat__lub @t8 @t58 @t51)) % 6.41/6.69 (define @t4433 () (tptp.hBOOL (tptp.hAPP @t745 @t66))) % 6.41/6.69 (define @t4434 () (tptp.c_Set_Ovimage @t8 @t74 @t2)) % 6.41/6.69 (define @t4435 () (tptp.hAPP @t4434 @t2446)) % 6.41/6.69 (define @t4436 () (@list @t13 @t2 @t74 @t8)) % 6.41/6.69 (define @t4437 () (tptp.c_Option_Omap @t8 @t74)) % 6.41/6.69 (define @t4438 () (tptp.c_Set_Ovimage @t74 @t8 @t2)) % 6.41/6.69 (define @t4439 () (tptp.hAPP @t4438 @t289)) % 6.41/6.69 (define @t4440 () (= @t530 @t58)) % 6.41/6.69 (define @t4441 () (tptp.hAPP @t4434 @t289)) % 6.41/6.69 (define @t4442 () (tptp.hAPP @t4434 @t51)) % 6.41/6.69 (define @t4443 () (tptp.hAPP (tptp.c_Option_Omap @t74 @t8) @t2)) % 6.41/6.69 (define @t4444 () (@var "V_opt_2" $$unsorted)) % 6.41/6.69 (define @t4445 () (@list @t73 @t2 @t8 @t74)) % 6.41/6.69 (define @t4446 () (tptp.hAPP @t4438 @t51)) % 6.41/6.69 (define @t4447 () (tptp.hAPP (tptp.hAPP @t2391 @t4434) @t289)) % 6.41/6.69 (define @t4448 () (@list @t289 @t51 @t210 @t2 @t74 @t8)) % 6.41/6.69 (define @t4449 () (tptp.c_Option_Omap @t210 @t74)) % 6.41/6.69 (define @t4450 () (tptp.tc_Option_Ooption @t210)) % 6.41/6.69 (define @t4451 () (tptp.hAPP @t1093 @t4446)) % 6.41/6.69 (define @t4452 () (tptp.hAPP @t111 @t58)) % 6.41/6.69 (define @t4453 () (tptp.hAPP @t2973 @t18)) % 6.41/6.69 (define @t4454 () (tptp.hAPP (tptp.c_Set_Ovimage @t74 @t8 @t4453) @t51)) % 6.41/6.69 (define @t4455 () (@list @t289 @t2 @t74 @t8)) % 6.41/6.69 (define @t4456 () (tptp.hAPP @t4227 @t289)) % 6.41/6.69 (define @t4457 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1970 @t74) @t1968)) % 6.41/6.69 (define @t4458 () (tptp.hAPP (tptp.c_Set_Ovimage @t74 @t8 (tptp.hAPP (tptp.hAPP @t3714 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t8 @t1969) (tptp.hAPP @t4457 @t4456)) @t18)) @t60)) @t51)) % 6.41/6.69 (define @t4459 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t60) @t51))) % 6.41/6.69 (define @t4460 () (not @t4459)) % 6.41/6.69 (define @t4461 () (tptp.tc_fun @t2190 @t2190)) % 6.41/6.69 (define @t4462 () (tptp.c_Product__Type_OSigma @t8 @t74)) % 6.41/6.69 (define @t4463 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t2940 @t210) @t2933) @t2)) % 6.41/6.69 (define @t4464 () (tptp.hAPP tptp.c_Int_ORep__Integ @t3)) % 6.41/6.69 (define @t4465 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4321 @t100) tptp.c_Int_OInteg))) % 6.41/6.69 (define @t4466 () (@list @t100)) % 6.41/6.69 (define @t4467 () (tptp.hAPP @t4462 @t51)) % 6.41/6.69 (define @t4468 () (tptp.hAPP @t4467 @t289)) % 6.41/6.69 (define @t4469 () (tptp.hBOOL (tptp.hAPP @t3110 @t4468))) % 6.41/6.69 (define @t4470 () (tptp.hAPP @t2377 @t721)) % 6.41/6.69 (define @t4471 () (tptp.c_Product__Type_OSigma @t74 @t8)) % 6.41/6.69 (define @t4472 () (tptp.hAPP (tptp.hAPP @t4471 @t289) @t4470)) % 6.41/6.69 (define @t4473 () (tptp.hAPP @t4471 @t51)) % 6.41/6.69 (define @t4474 () (tptp.hAPP @t4473 @t4470)) % 6.41/6.69 (define @t4475 () (tptp.hBOOL (tptp.hAPP @t283 @t721))) % 6.41/6.69 (define @t4476 () (@list @t289 @t51 @t74 @t721 @t73 @t8)) % 6.41/6.69 (define @t4477 () (tptp.hAPP (tptp.hAPP @t4462 @t3929) @t721)) % 6.41/6.69 (define @t4478 () (tptp.hAPP @t4462 @t2383)) % 6.41/6.69 (define @t4479 () (tptp.hAPP @t4478 @t721)) % 6.41/6.69 (define @t4480 () (tptp.c_Groups_Ominus__class_Ominus @t2931)) % 6.41/6.69 (define @t4481 () (@list @t721 @t3929 @t2383 @t74 @t8)) % 6.41/6.69 (define @t4482 () (tptp.hAPP @t2378 @t721)) % 6.41/6.69 (define @t4483 () (tptp.hAPP @t4462 @t289)) % 6.41/6.69 (define @t4484 () (tptp.hAPP @t4483 @t4482)) % 6.41/6.69 (define @t4485 () (tptp.hAPP @t4467 @t4482)) % 6.41/6.69 (define @t4486 () (@list @t721 @t289 @t51 @t74 @t8)) % 6.41/6.69 (define @t4487 () (tptp.hAPP @t4478 @t289)) % 6.41/6.69 (define @t4488 () (tptp.hAPP @t4478 @t51)) % 6.41/6.69 (define @t4489 () (tptp.c_COMBS @t8 @t273 @t273)) % 6.41/6.69 (define @t4490 () (tptp.hAPP @t2378 @t289)) % 6.41/6.69 (define @t4491 () (tptp.hAPP @t4467 @t4490)) % 6.41/6.69 (define @t4492 () (tptp.c_Finite__Set_Ocard @t2930)) % 6.41/6.69 (define @t4493 () (tptp.c_COMBK @t2190 @t74)) % 6.41/6.69 (define @t4494 () (tptp.c_Product__Type_OSigma @t74 @t210)) % 6.41/6.69 (define @t4495 () (tptp.hAPP (tptp.hAPP @t4494 @t51) (tptp.hAPP @t4493 @t289))) % 6.41/6.69 (define @t4496 () (tptp.hAPP @t2378 @t4212)) % 6.41/6.69 (define @t4497 () (tptp.c_Groups_Ouminus__class_Ouminus @t2931)) % 6.41/6.69 (define @t4498 () (tptp.hAPP @t4462 @t4202)) % 6.41/6.69 (define @t4499 () (tptp.hAPP @t2378 @t51)) % 6.41/6.69 (define @t4500 () (tptp.hAPP @t4473 (tptp.hAPP @t2377 @t289))) % 6.41/6.69 (define @t4501 () (tptp.hAPP (tptp.c_COMBC @t8 @t74 @t2930) @t2933)) % 6.41/6.69 (define @t4502 () (tptp.hBOOL (tptp.hAPP @t4214 @t4491))) % 6.41/6.69 (define @t4503 () (tptp.c_COMBK @t55 @t8)) % 6.41/6.69 (define @t4504 () (tptp.c_Product__Type_OSigma @t8 @t8)) % 6.41/6.69 (define @t4505 () (tptp.hAPP (tptp.hAPP @t4504 @t51) (tptp.hAPP @t4503 @t51))) % 6.41/6.69 (define @t4506 () (tptp.hBOOL (tptp.hAPP @t3597 @t4505))) % 6.41/6.69 (define @t4507 () (@list @t289 @t51 @t58 @t13 @t74 @t8)) % 6.41/6.69 (define @t4508 () (tptp.hAPP @t997 @t51)) % 6.41/6.69 (define @t4509 () (tptp.c_Orderings_Oord__class_Oless__eq @t3675)) % 6.41/6.69 (define @t4510 () (tptp.hAPP @t2948 @t2917)) % 6.41/6.69 (define @t4511 () (tptp.hBOOL (tptp.hAPP @t4510 @t4491))) % 6.41/6.69 (define @t4512 () (tptp.c_Set_Oimage @t3674 @t74 @t3265)) % 6.41/6.69 (define @t4513 () (tptp.hAPP @t4512 @t4500)) % 6.41/6.69 (define @t4514 () (tptp.c_Set_Oimage @t2930 @t74 @t3249)) % 6.41/6.69 (define @t4515 () (tptp.hAPP @t4514 @t4491)) % 6.41/6.69 (define @t4516 () (tptp.hAPP @t4462 @t54)) % 6.41/6.69 (define @t4517 () (tptp.hAPP @t2378 (tptp.hAPP @t4452 @t289))) % 6.41/6.69 (define @t4518 () (tptp.c_Set_Oinsert @t2930)) % 6.41/6.69 (define @t4519 () (tptp.hAPP @t4518 @t3109)) % 6.41/6.69 (define @t4520 () (@var "V_E_2" $$unsorted)) % 6.41/6.69 (define @t4521 () (tptp.tc_fun @t2944 @t2931)) % 6.41/6.69 (define @t4522 () (tptp.tc_fun @t3169 @t2931)) % 6.41/6.69 (define @t4523 () (tptp.tc_fun @t3169 @t2944)) % 6.41/6.69 (define @t4524 () (tptp.tc_fun @t3169 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4525 () (tptp.tc_prod @t210 @t3169)) % 6.41/6.69 (define @t4526 () (tptp.tc_fun @t2931 @t2931)) % 6.41/6.69 (define @t4527 () (tptp.tc_fun @t74 @t4526)) % 6.41/6.69 (define @t4528 () (tptp.tc_fun @t74 @t2931)) % 6.41/6.69 (define @t4529 () (tptp.c_Groups_Oone__class_Oone @t210)) % 6.41/6.69 (define @t4530 () (tptp.c_Groups_Otimes__class_Otimes @t210)) % 6.41/6.69 (define @t4531 () (tptp.c_Finite__Set_Ofold__image @t210 @t74 @t4530)) % 6.41/6.69 (define @t4532 () (tptp.tc_fun @t273 @t210)) % 6.41/6.69 (define @t4533 () (tptp.c_COMBS @t8 @t273 @t210)) % 6.41/6.69 (define @t4534 () (tptp.c_Finite__Set_Ofold__image @t210 @t8 @t4530)) % 6.41/6.69 (define @t4535 () (tptp.class_Groups_Ocomm__monoid__mult @t210)) % 6.41/6.69 (define @t4536 () (forall @t271 (=> @t1075 (tptp.hBOOL (tptp.hAPP @t259 (tptp.hAPP @t289 @t268)))))) % 6.41/6.69 (define @t4537 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t74 @t210)) % 6.41/6.69 (define @t4538 () (tptp.c_COMBB @t3166 @t4532 @t8)) % 6.41/6.69 (define @t4539 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 @t210)) % 6.41/6.69 (define @t4540 () (@list @t2 @t289 @t74 @t51 @t8 @t210)) % 6.41/6.69 (define @t4541 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t74 @t210)) % 6.41/6.69 (define @t4542 () (tptp.hAPP @t4533 (tptp.hAPP (tptp.hAPP @t4538 @t4541) @t2))) % 6.41/6.69 (define @t4543 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t210)) % 6.41/6.69 (define @t4544 () (tptp.class_Groups_Ocomm__monoid__add @t210)) % 6.41/6.69 (define @t4545 () (tptp.hAPP (tptp.c_COMBB @t273 tptp.tc_Nat_Onat @t8) @t758)) % 6.41/6.69 (define @t4546 () (tptp.hAPP @t2933 @t3)) % 6.41/6.69 (define @t4547 () (tptp.hAPP @t4546 @t43)) % 6.41/6.69 (define @t4548 () (tptp.hAPP @t2936 @t18)) % 6.41/6.69 (define @t4549 () (tptp.tc_prod @t8 @t210)) % 6.41/6.69 (define @t4550 () (tptp.tc_fun @t4549 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4551 () (tptp.tc_prod @t74 @t3169)) % 6.41/6.69 (define @t4552 () (tptp.c_Set_Oimage @t4551 @t4549 (tptp.c_Product__Type_Omap__pair @t74 @t8 @t3169 @t210 @t2 @t1))) % 6.41/6.69 (define @t4553 () (tptp.c_Orderings_Otop__class_Otop @t2190)) % 6.41/6.69 (define @t4554 () (tptp.c_Set_Oimage @t3169 @t210 @t1)) % 6.41/6.69 (define @t4555 () (tptp.c_COMBK @t2190 @t8)) % 6.41/6.69 (define @t4556 () (tptp.c_Product__Type_OSigma @t8 @t210)) % 6.41/6.69 (define @t4557 () (tptp.hAPP @t4556 @t51)) % 6.41/6.69 (define @t4558 () (tptp.c_Product__Type_Omap__pair @t8 @t210 @t74 @t3169 @t2 @t1)) % 6.41/6.69 (define @t4559 () (tptp.hAPP @t1 @t58)) % 6.41/6.69 (define @t4560 () (tptp.c_Product__Type_OPair @t210 @t3169)) % 6.41/6.69 (define @t4561 () (tptp.c_member @t4525)) % 6.41/6.69 (define @t4562 () (tptp.c_Product__Type_Omap__pair @t210 @t8 @t3169 @t74 @t2 @t1)) % 6.41/6.69 (define @t4563 () (tptp.c_Product__Type_Omap__pair @t8 @t8 @t74 @t74 @t1505 (tptp.c_COMBI @t74))) % 6.41/6.69 (define @t4564 () (tptp.tc_fun @t3169 @t4525)) % 6.41/6.69 (define @t4565 () (tptp.tc_fun @t74 @t4525)) % 6.41/6.69 (define @t4566 () (tptp.tc_fun @t74 @t3169)) % 6.41/6.69 (define @t4567 () (@var "V_B_H_2" $$unsorted)) % 6.41/6.69 (define @t4568 () (forall @t7 (=> @t363 @t3090))) % 6.41/6.69 (define @t4569 () (tptp.c_Relation_Orefl__on @t8 @t51 @t2917)) % 6.41/6.69 (define @t4570 () (tptp.hBOOL @t3266)) % 6.41/6.69 (define @t4571 () (tptp.c_Relation_Orefl__on @t8 @t289 @t428)) % 6.41/6.69 (define @t4572 () (@list @t428 @t289 @t2917 @t51 @t8)) % 6.41/6.69 (define @t4573 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3068)) % 6.41/6.69 (define @t4574 () (tptp.hAPP @t4573 @t2917)) % 6.41/6.69 (define @t4575 () (tptp.hAPP @t3088 (tptp.hAPP @t3287 @t13))) % 6.41/6.69 (define @t4576 () (tptp.hBOOL (tptp.hAPP @t4575 @t2917))) % 6.41/6.69 (define @t4577 () (@list @t51 @t2917 @t8)) % 6.41/6.69 (define @t4578 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4579 () (tptp.hAPP @t4578 @t472)) % 6.41/6.69 (define @t4580 () (tptp.c_COMBC tptp.tc_Nat_Onat @t1900 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4581 () (tptp.hAPP @t4580 @t2339)) % 6.41/6.69 (define @t4582 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1632 tptp.tc_Nat_Onat) tptp.c_fconj)) % 6.41/6.69 (define @t4583 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4584 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t4585 () (tptp.hAPP @t2343 (tptp.hAPP @t4584 (tptp.hAPP (tptp.hAPP @t4583 (tptp.hAPP @t4582 (tptp.hAPP @t4581 @t2108))) (tptp.hAPP @t4579 @t3520))))) % 6.41/6.69 (define @t4586 () (tptp.hAPP @t4579 @t638)) % 6.41/6.69 (define @t4587 () (tptp.tc_fun @t1900 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4588 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4587 tptp.tc_Nat_Onat) @t2339)) % 6.41/6.69 (define @t4589 () (tptp.hAPP @t4580 (tptp.hAPP @t4588 tptp.c_Nat_OSuc))) % 6.41/6.69 (define @t4590 () (tptp.hAPP @t2343 (tptp.hAPP @t4584 (tptp.hAPP (tptp.hAPP @t4583 (tptp.hAPP @t4582 (tptp.hAPP @t4589 @t2108))) @t4586)))) % 6.41/6.69 (define @t4591 () (tptp.hAPP @t2339 @t1074)) % 6.41/6.69 (define @t4592 () (tptp.hBOOL (tptp.hAPP @t4591 @t2108))) % 6.41/6.69 (define @t4593 () (@list @t638 @t2108)) % 6.41/6.69 (define @t4594 () (tptp.c_Set_OCollect @t8)) % 6.41/6.69 (define @t4595 () (tptp.hAPP @t4594 @t117)) % 6.41/6.69 (define @t4596 () (tptp.hBOOL (tptp.hAPP @t298 @t4595))) % 6.41/6.69 (define @t4597 () (tptp.hBOOL (tptp.hAPP @t117 @t13))) % 6.41/6.69 (define @t4598 () (@list @t8 @t13 @t117)) % 6.41/6.69 (define @t4599 () (tptp.hAPP @t3827 @t117)) % 6.41/6.69 (define @t4600 () (tptp.hAPP @t4428 @t4599)) % 6.41/6.69 (define @t4601 () (tptp.hAPP @t4594 (tptp.hAPP @t4600 @t116))) % 6.41/6.69 (define @t4602 () (tptp.hAPP @t4594 @t116)) % 6.41/6.69 (define @t4603 () (tptp.hBOOL (tptp.hAPP @t182 @t4602))) % 6.41/6.69 (define @t4604 () (tptp.hBOOL (tptp.hAPP @t182 @t4595))) % 6.41/6.69 (define @t4605 () (@list @t116 @t117 @t8)) % 6.41/6.69 (define @t4606 () (tptp.c_Set_OCollect @t74)) % 6.41/6.69 (define @t4607 () (tptp.hAPP @t4462 @t4595)) % 6.41/6.69 (define @t4608 () (tptp.hAPP @t4421 @t4599)) % 6.41/6.69 (define @t4609 () (tptp.c_Set_OCollect @t2930)) % 6.41/6.69 (define @t4610 () (@list @t116 @t117 @t74 @t8)) % 6.41/6.69 (define @t4611 () (tptp.hAPP @t2430 @t4606)) % 6.41/6.69 (define @t4612 () (tptp.hAPP @t749 @t4595)) % 6.41/6.69 (define @t4613 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t8)) % 6.41/6.69 (define @t4614 () (tptp.hAPP @t4613 tptp.c_fNot)) % 6.41/6.69 (define @t4615 () (tptp.hAPP @t4614 @t117)) % 6.41/6.69 (define @t4616 () (tptp.hAPP @t4594 @t4615)) % 6.41/6.69 (define @t4617 () (@list @t117 @t8)) % 6.41/6.69 (define @t4618 () (tptp.c_COMBB @t74 tptp.tc_HOL_Obool @t8)) % 6.41/6.69 (define @t4619 () (tptp.hAPP @t4606 @t117)) % 6.41/6.69 (define @t4620 () (@list @t117 @t13 @t8)) % 6.41/6.69 (define @t4621 () (tptp.c_COMBK tptp.tc_HOL_Obool @t8)) % 6.41/6.69 (define @t4622 () (tptp.hAPP @t3826 tptp.c_fdisj)) % 6.41/6.69 (define @t4623 () (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP @t4428 (tptp.hAPP @t4622 @t117)) @t116))) % 6.41/6.69 (define @t4624 () (tptp.hAPP @t3826 tptp.c_fimplies)) % 6.41/6.69 (define @t4625 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t74 @t2)) % 6.41/6.69 (define @t4626 () (not @t135)) % 6.41/6.69 (define @t4627 () (forall @t7 @t4626)) % 6.41/6.69 (define @t4628 () (tptp.hAPP @t4621 tptp.c_fFalse)) % 6.41/6.69 (define @t4629 () (tptp.hAPP @t4594 (tptp.hAPP @t4429 @t3985))) % 6.41/6.69 (define @t4630 () (tptp.hAPP @t3865 @t4595)) % 6.41/6.69 (define @t4631 () (tptp.hAPP @t4594 @t2906)) % 6.41/6.69 (define @t4632 () (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP @t4428 (tptp.hAPP @t3827 @t3023)) @t117))) % 6.41/6.69 (define @t4633 () (not @t4597)) % 6.41/6.69 (define @t4634 () (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP @t4428 (tptp.hAPP @t3827 @t2906)) @t117))) % 6.41/6.69 (define @t4635 () (tptp.hAPP @t4428 (tptp.hAPP @t4624 @t117))) % 6.41/6.69 (define @t4636 () (tptp.tc_fun @t418 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4637 () (tptp.hAPP (tptp.c_COMBB @t418 @t4636 @t8) tptp.c_fequal)) % 6.41/6.69 (define @t4638 () (tptp.hAPP @t4425 @t201)) % 6.41/6.69 (define @t4639 () (tptp.hAPP @t4428 (tptp.hAPP @t3827 @t1793))) % 6.41/6.69 (define @t4640 () (tptp.hAPP @t3935 @t4594)) % 6.41/6.69 (define @t4641 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1632 @t74)) % 6.41/6.69 (define @t4642 () (tptp.hAPP @t4641 tptp.c_fconj)) % 6.41/6.69 (define @t4643 () (tptp.c_COMBS @t74 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4644 () (tptp.hAPP @t4611 (tptp.hAPP (tptp.hAPP @t2430 (tptp.hAPP @t4643 (tptp.hAPP @t4642 (tptp.hAPP @t4227 @t3487)))) @t201))) % 6.41/6.69 (define @t4645 () (tptp.hBOOL (tptp.hAPP @t259 @t3487))) % 6.41/6.69 (define @t4646 () (tptp.hAPP @t4420 tptp.c_fNot)) % 6.41/6.69 (define @t4647 () (tptp.hAPP @t3950 @t1791)) % 6.41/6.69 (define @t4648 () (tptp.hAPP @t4640 (tptp.hAPP @t4425 @t117))) % 6.41/6.69 (define @t4649 () (tptp.c_COMBB @t273 tptp.tc_HOL_Obool @t8)) % 6.41/6.69 (define @t4650 () (tptp.hAPP @t4649 (tptp.c_HOL_OAll @t74))) % 6.41/6.69 (define @t4651 () (tptp.c_Map_Odom @t8 @t74 @t1)) % 6.41/6.69 (define @t4652 () (tptp.tc_fun @t418 @t418)) % 6.41/6.69 (define @t4653 () (tptp.c_Set_Oimage @t8 @t210 @t2)) % 6.41/6.69 (define @t4654 () (tptp.tc_fun @t3675 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4655 () (tptp.hAPP @t4638 @t3)) % 6.41/6.69 (define @t4656 () (tptp.hAPP (tptp.c_COMBB @t1632 @t1579 @t8) @t4613)) % 6.41/6.69 (define @t4657 () (tptp.hAPP @t1576 (tptp.hAPP @t4656 @t4427))) % 6.41/6.69 (define @t4658 () (tptp.hAPP @t4657 @t3985)) % 6.41/6.69 (define @t4659 () (tptp.tc_fun @t1969 @t55)) % 6.41/6.69 (define @t4660 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t4659 @t8) (tptp.c_COMBB @t8 tptp.tc_HOL_Obool @t8)) tptp.c_fequal)) % 6.41/6.69 (define @t4661 () (tptp.hAPP (tptp.c_COMBC @t8 @t1970 @t3152) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4659 (tptp.tc_fun @t1970 @t3152) @t8) (tptp.c_COMBB @t1969 @t55 @t8)) @t4660))) % 6.41/6.69 (define @t4662 () (tptp.tc_fun @t8 @t3828)) % 6.41/6.69 (define @t4663 () (tptp.hAPP (tptp.c_COMBB @t3152 @t4662 @t8) @t3829)) % 6.41/6.69 (define @t4664 () (tptp.hAPP (tptp.c_COMBB @t3828 @t1579 @t8) @t4428)) % 6.41/6.69 (define @t4665 () (tptp.tc_fun @t8 @t1579)) % 6.41/6.69 (define @t4666 () (tptp.hAPP (tptp.c_COMBB @t4662 @t4665 @t8) @t4664)) % 6.41/6.69 (define @t4667 () (tptp.hAPP (tptp.c_COMBB @t4665 (tptp.tc_fun @t3152 @t3152) @t8) (tptp.c_COMBS @t8 @t55 @t55))) % 6.41/6.69 (define @t4668 () (tptp.c_COMBC @t8 @t3152 @t3152)) % 6.41/6.69 (define @t4669 () (tptp.c_HOL_OEx @t8)) % 6.41/6.69 (define @t4670 () (tptp.hAPP @t4409 @t4669)) % 6.41/6.69 (define @t4671 () (tptp.hAPP (tptp.c_COMBB @t3152 @t55 @t8) @t4670)) % 6.41/6.69 (define @t4672 () (tptp.c_Set_OCollect @t55)) % 6.41/6.69 (define @t4673 () (tptp.hAPP @t4672 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t55 @t55 tptp.tc_HOL_Obool) @t744) @t51))) % 6.41/6.69 (define @t4674 () (tptp.c_COMBB @t3513 tptp.tc_HOL_Obool @t55)) % 6.41/6.69 (define @t4675 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1632 @t55)) % 6.41/6.69 (define @t4676 () (tptp.tc_fun @t55 @t1632)) % 6.41/6.69 (define @t4677 () (tptp.hAPP (tptp.c_COMBB @t3513 @t4676 @t55) (tptp.hAPP @t4675 tptp.c_fconj))) % 6.41/6.69 (define @t4678 () (tptp.c_COMBS @t55 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4679 () (tptp.hAPP (tptp.c_COMBB @t4676 @t3817 @t55) @t4678)) % 6.41/6.69 (define @t4680 () (tptp.c_COMBC @t55 @t3513 @t3513)) % 6.41/6.69 (define @t4681 () (tptp.tc_fun @t819 @t55)) % 6.41/6.69 (define @t4682 () (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t74)) % 6.41/6.69 (define @t4683 () (tptp.hAPP @t4682 @t4669)) % 6.41/6.69 (define @t4684 () (tptp.c_COMBC @t74 @t8 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4685 () (tptp.hBOOL @t4252)) % 6.41/6.69 (define @t4686 () (tptp.hAPP (tptp.c_Fun_Ooverride__on @t8 @t74 @t2 @t1 @t51) @t13)) % 6.41/6.69 (define @t4687 () (=> @t366 (= @t4686 @t530))) % 6.41/6.69 (define @t4688 () (@list @t1 @t2 @t74 @t51 @t13 @t8)) % 6.41/6.69 (define @t4689 () (=> @t299 (= @t4686 @t4073))) % 6.41/6.69 (define @t4690 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 6.41/6.69 (define @t4691 () (tptp.hAPP @t4690 (tptp.hAPP @t3227 @t117))) % 6.41/6.69 (define @t4692 () (tptp.hAPP (tptp.c_COMBB @t407 @t4205 @t74) tptp.c_fequal)) % 6.41/6.69 (define @t4693 () (tptp.c_COMBC @t74 @t407 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4694 () (tptp.hAPP @t4649 (tptp.c_HOL_OEx @t74))) % 6.41/6.69 (define @t4695 () (tptp.tc_fun @t74 @t3285)) % 6.41/6.69 (define @t4696 () (tptp.tc_fun @t8 @t3285)) % 6.41/6.69 (define @t4697 () (tptp.tc_fun @t3478 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4698 () (tptp.tc_fun @t8 @t4697)) % 6.41/6.69 (define @t4699 () (tptp.c_Set_OCollect @t3067)) % 6.41/6.69 (define @t4700 () (tptp.hAPP @t676 @t205)) % 6.41/6.69 (define @t4701 () (tptp.hAPP (tptp.c_COMBC @t8 @t1969 @t55) @t4660)) % 6.41/6.69 (define @t4702 () (tptp.hAPP @t4594 (tptp.hAPP @t4670 (tptp.hAPP (tptp.hAPP @t1576 (tptp.hAPP @t4664 (tptp.hAPP @t3829 (tptp.hAPP @t4701 @t4700)))) (tptp.hAPP @t1792 @t1324))))) % 6.41/6.69 (define @t4703 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t8)) % 6.41/6.69 (define @t4704 () (@list @t205 @t1324 @t8)) % 6.41/6.69 (define @t4705 () (tptp.hAPP (tptp.hAPP @t2452 (tptp.hAPP @t4421 @t4427)) @t4456)) % 6.41/6.69 (define @t4706 () (tptp.hAPP @t1955 (tptp.hAPP @t1380 @t60))) % 6.41/6.69 (define @t4707 () (tptp.c_Set_OCollect @t2920)) % 6.41/6.69 (define @t4708 () (tptp.c_Int_Oint__ge__less__than @t60)) % 6.41/6.69 (define @t4709 () (@list @t60)) % 6.41/6.69 (define @t4710 () (tptp.c_Int_Oint__ge__less__than2 @t60)) % 6.41/6.69 (define @t4711 () (tptp.hAPP @t4699 (tptp.hAPP @t3830 @t2917))) % 6.41/6.69 (define @t4712 () (tptp.c_Predicate_Oreflp @t8 @t2917)) % 6.41/6.69 (define @t4713 () (tptp.tc_fun @t210 @t210)) % 6.41/6.69 (define @t4714 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3166 @t3166) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4713 (tptp.tc_fun @t3166 @t3166) @t8) (tptp.c_COMBB @t210 @t210 @t74)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t210 @t4713 @t8) @t4530) @t2))) @t1)) % 6.41/6.69 (define @t4715 () (tptp.tc_fun @t3166 @t273)) % 6.41/6.69 (define @t4716 () (tptp.tc_fun @t8 @t3166)) % 6.41/6.69 (define @t4717 () (tptp.tc_fun @t74 @t1632)) % 6.41/6.69 (define @t4718 () (tptp.tc_fun @t8 @t4717)) % 6.41/6.69 (define @t4719 () (tptp.tc_fun @t8 @t2449)) % 6.41/6.69 (define @t4720 () (tptp.c_Fun_Oid @t8)) % 6.41/6.69 (define @t4721 () (@var "V_x_1" $$unsorted)) % 6.41/6.69 (define @t4722 () (tptp.hAPP @t2917 @t73)) % 6.41/6.69 (define @t4723 () (tptp.c_Fun_Oid @t2930)) % 6.41/6.69 (define @t4724 () (tptp.c_Fun_Oid @t74)) % 6.41/6.69 (define @t4725 () (tptp.c_Fun_Oid @t407)) % 6.41/6.69 (define @t4726 () (tptp.c_Option_Omap @t8 @t8)) % 6.41/6.69 (define @t4727 () (tptp.c_Set_Oimage @t8 @t8 @t4720)) % 6.41/6.69 (define @t4728 () (@list @t289 @t2 @t8 @t74)) % 6.41/6.69 (define @t4729 () (tptp.tc_prod @t210 @t74)) % 6.41/6.69 (define @t4730 () (tptp.c_member @t4729)) % 6.41/6.69 (define @t4731 () (tptp.tc_fun @t4729 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4732 () (tptp.tc_fun @t4731 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4733 () (tptp.tc_fun @t210 @t4732)) % 6.41/6.69 (define @t4734 () (tptp.c_member @t4549)) % 6.41/6.69 (define @t4735 () (tptp.tc_fun @t4550 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4736 () (tptp.tc_fun @t210 @t4735)) % 6.41/6.69 (define @t4737 () (tptp.tc_fun @t210 @t1632)) % 6.41/6.69 (define @t4738 () (tptp.c_Relation_Orel__comp @t8 @t210 @t74)) % 6.41/6.69 (define @t4739 () (tptp.hAPP (tptp.hAPP @t4738 @t2917) @t428)) % 6.41/6.69 (define @t4740 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t74 @t8 tptp.tc_HOL_Obool) @t117)) % 6.41/6.69 (define @t4741 () (tptp.c_Relation_ORange @t74 @t8)) % 6.41/6.69 (define @t4742 () (@list @t117 @t8 @t74)) % 6.41/6.69 (define @t4743 () (tptp.c_Relation_Orel__comp @t8 @t74 @t210)) % 6.41/6.69 (define @t4744 () (tptp.hAPP (tptp.hAPP @t4743 @t2917) @t428)) % 6.41/6.69 (define @t4745 () (tptp.hAPP (tptp.c_Relation_ORange @t8 @t74) @t2917)) % 6.41/6.69 (define @t4746 () (@list @t2917 @t58 @t13 @t74 @t8)) % 6.41/6.69 (define @t4747 () (tptp.hAPP @t4738 @t428)) % 6.41/6.69 (define @t4748 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3169 @t2931) @t2383)) % 6.41/6.69 (define @t4749 () (tptp.c_Relation_ORange @t8 @t8)) % 6.41/6.69 (define @t4750 () (@var "V_s_H_2" $$unsorted)) % 6.41/6.69 (define @t4751 () (tptp.c_Orderings_Oord__class_Oless__eq @t4550)) % 6.41/6.69 (define @t4752 () (tptp.c_Orderings_Oord__class_Oless__eq @t4243)) % 6.41/6.69 (define @t4753 () (tptp.hAPP @t4738 @t201)) % 6.41/6.69 (define @t4754 () (@list @t201 @t74 @t210 @t8)) % 6.41/6.69 (define @t4755 () (tptp.c_Relation_Orel__comp @t8 @t8 @t8)) % 6.41/6.69 (define @t4756 () (tptp.hAPP @t4755 @t51)) % 6.41/6.69 (define @t4757 () (= (tptp.hAPP @t4756 @t721) @t3070)) % 6.41/6.69 (define @t4758 () (tptp.c_Orderings_Obot__class_Obot @t3675)) % 6.41/6.69 (define @t4759 () (tptp.hAPP @t4741 @t2917)) % 6.41/6.69 (define @t4760 () (@list @t2917 @t8 @t74)) % 6.41/6.69 (define @t4761 () (tptp.hAPP @t4741 @t289)) % 6.41/6.69 (define @t4762 () (tptp.hAPP @t4741 @t51)) % 6.41/6.69 (define @t4763 () (tptp.hBOOL (tptp.hAPP @t4214 @t2917))) % 6.41/6.69 (define @t4764 () (@list @t2917 @t74 @t8)) % 6.41/6.69 (define @t4765 () (@list @t2917 @t74 @t13 @t8)) % 6.41/6.69 (define @t4766 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3675)) % 6.41/6.69 (define @t4767 () (tptp.tc_fun @t3292 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4768 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3292) (tptp.hAPP (tptp.hAPP @t3291 @t56) @t56)) (tptp.c_Orderings_Obot__class_Obot @t4767))) % 6.41/6.69 (define @t4769 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4767)) % 6.41/6.69 (define @t4770 () (tptp.c_Relation_Orel__comp @t55 @t55 @t55)) % 6.41/6.69 (define @t4771 () (tptp.c_Orderings_Oord__class_Oless__eq @t4767)) % 6.41/6.69 (define @t4772 () (tptp.hAPP @t4755 @t201)) % 6.41/6.69 (define @t4773 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3069 (tptp.hAPP @t4772 @t1791)) @t201))) % 6.41/6.69 (define @t4774 () (tptp.c_Wellfounded_Omin__ext @t8 @t201)) % 6.41/6.69 (define @t4775 () (tptp.hAPP @t2941 @t2917)) % 6.41/6.69 (define @t4776 () (tptp.c_Predicate_ORangeP @t8 @t74 @t2917)) % 6.41/6.69 (define @t4777 () (@list @t74 @t8 @t58 @t13 @t2917)) % 6.41/6.69 (define @t4778 () (tptp.hAPP @t2917 @t176)) % 6.41/6.69 (define @t4779 () (tptp.c_Wellfounded_Owf @t8 @t201)) % 6.41/6.69 (define @t4780 () (tptp.c_Relation_ODomain @t8 @t74)) % 6.41/6.69 (define @t4781 () (tptp.c_Wellfounded_Owf @t8 @t2917)) % 6.41/6.69 (define @t4782 () (@list @t2 @t74 @t2917 @t8)) % 6.41/6.69 (define @t4783 () (@var "V_rb_2" $$unsorted)) % 6.41/6.69 (define @t4784 () (@var "V_ra_2" $$unsorted)) % 6.41/6.69 (define @t4785 () (tptp.hAPP @t4780 @t2917)) % 6.41/6.69 (define @t4786 () (tptp.hBOOL (tptp.hAPP @t298 @t4785))) % 6.41/6.69 (define @t4787 () (tptp.hAPP @t4772 @t201)) % 6.41/6.69 (define @t4788 () (@list @t3161 @t2917 @t8)) % 6.41/6.69 (define @t4789 () (@list @t3672 @t2917 @t8)) % 6.41/6.69 (define @t4790 () (tptp.c_Relation_ODomain @t8 @t8)) % 6.41/6.69 (define @t4791 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4792 () (tptp.c_Set_OCollect @t3146)) % 6.41/6.69 (define @t4793 () (tptp.hAPP @t4790 @t2917)) % 6.41/6.69 (define @t4794 () (tptp.hAPP @t3600 @t201)) % 6.41/6.69 (define @t4795 () (tptp.hAPP @t4794 @t1791)) % 6.41/6.69 (define @t4796 () (tptp.c_Wellfounded_Owf @t8 @t4795)) % 6.41/6.69 (define @t4797 () (tptp.hBOOL (tptp.hAPP @t4510 @t428))) % 6.41/6.69 (define @t4798 () (@list @t428 @t2917 @t74 @t8)) % 6.41/6.69 (define @t4799 () (tptp.hAPP @t4780 @t289)) % 6.41/6.69 (define @t4800 () (tptp.hAPP @t4780 @t51)) % 6.41/6.69 (define @t4801 () (tptp.c_Set_Oimage @t2930 @t8 @t3250)) % 6.41/6.69 (define @t4802 () (@list @t201 @t74 @t8)) % 6.41/6.69 (define @t4803 () (tptp.hAPP tptp.c_Nat_OSuc @t1332)) % 6.41/6.69 (define @t4804 () (tptp.c_Relation_OImage @t8 @t8 @t201)) % 6.41/6.69 (define @t4805 () (tptp.c_Wellfounded_Owf @t8 @t1791)) % 6.41/6.69 (define @t4806 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2936 (tptp.hAPP @t3108 @t43)) @t2917))) % 6.41/6.69 (define @t4807 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t3068 @t3068) @t117)) % 6.41/6.69 (define @t4808 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t3068 @t3068) @t117)) % 6.41/6.69 (define @t4809 () (tptp.hAPP @t3069 @t1791)) % 6.41/6.69 (define @t4810 () (tptp.hAPP @t3069 @t201)) % 6.41/6.69 (define @t4811 () (tptp.hAPP @t4749 @t2917)) % 6.41/6.69 (define @t4812 () (tptp.c_List_Olenlex @t8 @t2917)) % 6.41/6.69 (define @t4813 () (tptp.tc_List_Olist @t8)) % 6.41/6.69 (define @t4814 () (tptp.c_Predicate_ODomainP @t8 @t74 @t2917)) % 6.41/6.69 (define @t4815 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1900 tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t4816 () (tptp.c_List_Olex @t8 @t2917)) % 6.41/6.69 (define @t4817 () (tptp.c_List_Olexn @t8 @t2917)) % 6.41/6.69 (define @t4818 () (tptp.tc_prod @t4813 @t4813)) % 6.41/6.69 (define @t4819 () (tptp.tc_fun @t4818 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4820 () (tptp.hAPP @t4817 @t281)) % 6.41/6.69 (define @t4821 () (@list @t281 @t2917 @t8)) % 6.41/6.69 (define @t4822 () (tptp.c_Wellfounded_OwfP @t8 @t2917)) % 6.41/6.69 (define @t4823 () (tptp.hAPP @t3088 @t3)) % 6.41/6.69 (define @t4824 () (tptp.hBOOL (tptp.hAPP @t4823 @t2917))) % 6.41/6.69 (define @t4825 () (tptp.c_Wellfounded_Oacyclic @t8 @t2917)) % 6.41/6.69 (define @t4826 () (@list @t2917 @t428 @t8)) % 6.41/6.69 (define @t4827 () (tptp.hBOOL @t2382)) % 6.41/6.69 (define @t4828 () (tptp.hAPP @t2430 (tptp.hAPP @t4643 (tptp.hAPP (tptp.hAPP @t4641 tptp.c_fimplies) (tptp.hAPP @t4227 @t51))))) % 6.41/6.69 (define @t4829 () (tptp.hAPP (tptp.c_COMBB @t273 @t4681 @t8) @t4618)) % 6.41/6.69 (define @t4830 () (tptp.c_COMBC @t8 @t819 @t55)) % 6.41/6.69 (define @t4831 () (tptp.hAPP @t3816 (tptp.hAPP @t4428 (tptp.hAPP @t4624 @t3580)))) % 6.41/6.69 (define @t4832 () (tptp.hAPP @t4409 @t1754)) % 6.41/6.69 (define @t4833 () (tptp.c_Com_Ocom_OWhile @t58 @t18)) % 6.41/6.69 (define @t4834 () (@list @t18 @t58 @t117 @t12 @t8)) % 6.41/6.69 (define @t4835 () (tptp.hAPP tptp.c_Natural_Oevaln @t4833)) % 6.41/6.69 (define @t4836 () (@var "V_s2_2" $$unsorted)) % 6.41/6.69 (define @t4837 () (@var "V_s0_2" $$unsorted)) % 6.41/6.69 (define @t4838 () (tptp.hBOOL (tptp.hAPP @t58 @t4837))) % 6.41/6.69 (define @t4839 () (tptp.c_Natural_Oevalc @t4833)) % 6.41/6.69 (define @t4840 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t4833))) % 6.41/6.69 (define @t4841 () (tptp.c_Com_Ocom_OWhile @t153 @t164)) % 6.41/6.69 (define @t4842 () (tptp.c_Com_Ocom_OWhile @t152 @t163)) % 6.41/6.69 (define @t4843 () (tptp.c_Com_Ocom_OWhile @t176 @t178)) % 6.41/6.69 (define @t4844 () (tptp.hAPP tptp.c_Natural_Oevaln @t4843)) % 6.41/6.69 (define @t4845 () (tptp.hAPP (tptp.hAPP @t4844 @t345) @t346)) % 6.41/6.69 (define @t4846 () (tptp.hBOOL (tptp.hAPP @t1419 @t345))) % 6.41/6.69 (define @t4847 () (tptp.hAPP (tptp.hAPP @t4844 @t179) @t346)) % 6.41/6.69 (define @t4848 () (tptp.c_Natural_Oevalc @t4843)) % 6.41/6.69 (define @t4849 () (tptp.hAPP @t4848 @t345)) % 6.41/6.69 (define @t4850 () (tptp.hBOOL (tptp.hAPP @t1421 @t345))) % 6.41/6.69 (define @t4851 () (tptp.hAPP @t4848 @t179)) % 6.41/6.69 (define @t4852 () (@list @t163 @t152)) % 6.41/6.69 (define @t4853 () (tptp.hAPP (tptp.c_member @t9) @t3)) % 6.41/6.69 (define @t4854 () (tptp.hBOOL (tptp.hAPP @t4853 @t28))) % 6.41/6.69 (define @t4855 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t427 @t3)) % 6.41/6.69 (define @t4856 () (@list @t164 @t153)) % 6.41/6.69 (define @t4857 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4321 @t43) tptp.c_Int_OInteg))) % 6.41/6.69 (define @t4858 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t43)) % 6.41/6.69 (define @t4859 () (tptp.c_Map_Omap__of @t74 @t8)) % 6.41/6.69 (define @t4860 () (tptp.c_Map_Omap__of @t8 @t74)) % 6.41/6.69 (define @t4861 () (tptp.hAPP @t4860 @t1468)) % 6.41/6.69 (define @t4862 () (@var "V_xys_2" $$unsorted)) % 6.41/6.69 (define @t4863 () (tptp.hAPP @t4859 @t4862)) % 6.41/6.69 (define @t4864 () (@list @t4862 @t74 @t8)) % 6.41/6.69 (define @t4865 () (@var "V_ps_2" $$unsorted)) % 6.41/6.69 (define @t4866 () (tptp.tc_fun @t8 @t418)) % 6.41/6.69 (define @t4867 () (tptp.tc_fun @t418 @t4866)) % 6.41/6.69 (define @t4868 () (tptp.tc_fun @t4866 @t4866)) % 6.41/6.69 (define @t4869 () (tptp.tc_fun @t418 @t4868)) % 6.41/6.69 (define @t4870 () (tptp.tc_fun @t74 @t4868)) % 6.41/6.69 (define @t4871 () (tptp.tc_fun @t74 @t418)) % 6.41/6.69 (define @t4872 () (tptp.hAPP @t4860 @t4865)) % 6.41/6.69 (define @t4873 () (tptp.c_Option_Ooption_OSome @t210)) % 6.41/6.69 (define @t4874 () (tptp.hAPP @t4873 @t73)) % 6.41/6.69 (define @t4875 () (tptp.c_Map_Omap__of @t74 @t210)) % 6.41/6.69 (define @t4876 () (tptp.c_Map_Omap__of @t8 @t210)) % 6.41/6.69 (define @t4877 () (tptp.tc_fun @t4813 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t4878 () (tptp.c_Orderings_Otop__class_Otop @t4877)) % 6.41/6.69 (define @t4879 () (tptp.c_List_Omap @t8 @t74)) % 6.41/6.69 (define @t4880 () (tptp.hAPP @t4879 @t2)) % 6.41/6.69 (define @t4881 () (tptp.tc_List_Olist @t74)) % 6.41/6.69 (define @t4882 () (tptp.c_Fun_Oinj__on @t4813 @t4881 @t4880 @t4878)) % 6.41/6.69 (define @t4883 () (@var "V_ys_2" $$unsorted)) % 6.41/6.69 (define @t4884 () (@var "V_xs_2" $$unsorted)) % 6.41/6.69 (define @t4885 () (= @t4884 @t4883)) % 6.41/6.69 (define @t4886 () (tptp.hAPP @t4880 @t4883)) % 6.41/6.69 (define @t4887 () (tptp.hAPP @t4880 @t4884)) % 6.41/6.69 (define @t4888 () (= (= @t4887 @t4886) @t4885)) % 6.41/6.69 (define @t4889 () (@list @t4883 @t4884 @t2 @t74 @t8)) % 6.41/6.69 (define @t4890 () (tptp.c_List_Omap @t74 @t8)) % 6.41/6.69 (define @t4891 () (tptp.hAPP @t4890 @t2)) % 6.41/6.69 (define @t4892 () (tptp.hAPP @t4891 @t4883)) % 6.41/6.69 (define @t4893 () (tptp.hAPP @t4891 @t4884)) % 6.41/6.69 (define @t4894 () (= @t4893 @t4892)) % 6.41/6.69 (define @t4895 () (@list @t4883 @t4884 @t2 @t8 @t74)) % 6.41/6.69 (define @t4896 () (tptp.c_List_Omap @t8 @t8)) % 6.41/6.69 (define @t4897 () (tptp.hAPP @t4896 @t1505)) % 6.41/6.69 (define @t4898 () (@list @t4884 @t8)) % 6.41/6.69 (define @t4899 () (tptp.c_Fun_Oid @t4813)) % 6.41/6.69 (define @t4900 () (tptp.c_Option_Othe @t74)) % 6.41/6.69 (define @t4901 () (tptp.hAPP (tptp.c_COMBS @t8 @t74 @t2930) @t2933)) % 6.41/6.69 (define @t4902 () (tptp.c_List_Omap @t8 @t2930)) % 6.41/6.69 (define @t4903 () (tptp.c_List_Oset @t8)) % 6.41/6.69 (define @t4904 () (tptp.hAPP @t4903 @t4884)) % 6.41/6.69 (define @t4905 () (tptp.c_List_Oset @t74)) % 6.41/6.69 (define @t4906 () (tptp.hAPP @t4905 @t4884)) % 6.41/6.69 (define @t4907 () (tptp.hAPP @t1093 @t4906)) % 6.41/6.69 (define @t4908 () (@list @t4884 @t2 @t74 @t8)) % 6.41/6.69 (define @t4909 () (tptp.hAPP (tptp.hAPP @t4890 @t1) @t4884)) % 6.41/6.69 (define @t4910 () (tptp.c_Finite__Set_Ofinite @t4813)) % 6.41/6.69 (define @t4911 () (tptp.tc_prod tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 6.41/6.69 (define @t4912 () (tptp.hAPP @t4903 @t4883)) % 6.41/6.69 (define @t4913 () (tptp.hAPP (tptp.hAPP @t1662 @t4904) @t4912)) % 6.41/6.69 (define @t4914 () (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t4913)) % 6.41/6.69 (define @t4915 () (tptp.hAPP @t4905 @t4883)) % 6.41/6.69 (define @t4916 () (tptp.hBOOL (tptp.hAPP @t326 @t4904))) % 6.41/6.69 (define @t4917 () (tptp.c_Set_Oimage @t4813 @t55 @t4903)) % 6.41/6.69 (define @t4918 () (tptp.c_List_Oset @t2930)) % 6.41/6.69 (define @t4919 () (tptp.hAPP @t4918 @t4883)) % 6.41/6.69 (define @t4920 () (tptp.hAPP @t4918 @t4884)) % 6.41/6.69 (define @t4921 () (tptp.hAPP @t4860 @t4883)) % 6.41/6.69 (define @t4922 () (tptp.hAPP @t4860 @t4884)) % 6.41/6.69 (define @t4923 () (= @t4922 @t4921)) % 6.41/6.69 (define @t4924 () (@list @t4883 @t4884 @t74 @t8)) % 6.41/6.69 (define @t4925 () (tptp.c_List_Oset @t3674)) % 6.41/6.69 (define @t4926 () (tptp.hAPP @t4925 @t4862)) % 6.41/6.69 (define @t4927 () (tptp.hAPP @t4863 @t73)) % 6.41/6.69 (define @t4928 () (tptp.hAPP (tptp.hAPP @t4859 @t4884) @t205)) % 6.41/6.69 (define @t4929 () (tptp.hAPP @t4918 @t4862)) % 6.41/6.69 (define @t4930 () (tptp.hAPP @t4860 @t4862)) % 6.41/6.69 (define @t4931 () (@var "V_al_2" $$unsorted)) % 6.41/6.69 (define @t4932 () (tptp.hAPP (tptp.c_List_Omap @t2930 @t8) @t3250)) % 6.41/6.69 (define @t4933 () (tptp.c_List_Odistinct @t8)) % 6.41/6.69 (define @t4934 () (tptp.hAPP @t4932 @t4884)) % 6.41/6.69 (define @t4935 () (tptp.hBOOL (tptp.hAPP @t4933 @t4934))) % 6.41/6.69 (define @t4936 () (@list @t4884 @t74 @t8)) % 6.41/6.69 (define @t4937 () (tptp.c_List_Odistinct @t74)) % 6.41/6.69 (define @t4938 () (tptp.hBOOL (tptp.hAPP @t4937 @t4884))) % 6.41/6.69 (define @t4939 () (tptp.hAPP @t4932 @t4883)) % 6.41/6.69 (define @t4940 () (tptp.hBOOL (tptp.hAPP @t2937 @t4929))) % 6.41/6.69 (define @t4941 () (tptp.hAPP @t4930 @t73)) % 6.41/6.69 (define @t4942 () (tptp.hBOOL (tptp.hAPP @t4933 (tptp.hAPP @t4932 @t4862)))) % 6.41/6.69 (define @t4943 () (= @t4941 @t417)) % 6.41/6.69 (define @t4944 () (@list @t100 @t73 @t4862 @t74 @t8)) % 6.41/6.69 (define @t4945 () (tptp.hAPP (tptp.hAPP @t1408 @t637) @t1477)) % 6.41/6.69 (define @t4946 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 6.41/6.69 (define @t4947 () (tptp.c_List_Oupto @t638 @t637)) % 6.41/6.69 (define @t4948 () (tptp.hAPP @t4946 @t4947)) % 6.41/6.69 (define @t4949 () (tptp.c_List_Oupto @t592 @t562)) % 6.41/6.69 (define @t4950 () (tptp.c_List_Oupto @t1889 @t637)) % 6.41/6.69 (define @t4951 () (@var "V_ks_2" $$unsorted)) % 6.41/6.69 (define @t4952 () (tptp.c_Fun_Ocomp @t74 @t74 @t8 @t4724)) % 6.41/6.69 (define @t4953 () (tptp.hAPP @t13 (tptp.hAPP @t58 @t240))) % 6.41/6.69 (define @t4954 () (= @t4953 (tptp.hAPP @t18 @t240))) % 6.41/6.69 (define @t4955 () (tptp.hAPP (tptp.c_Fun_Ocomp @t210 @t74 @t8 @t13) @t58)) % 6.41/6.69 (define @t4956 () (@list @t240 @t18 @t58 @t13 @t8 @t74 @t210)) % 6.41/6.69 (define @t4957 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t74 @t210 @t2) @t1)) % 6.41/6.69 (define @t4958 () (@var "V_f_H_2" $$unsorted)) % 6.41/6.69 (define @t4959 () (tptp.c_Fun_Ocomp @t74 @t74 @t74 @t115)) % 6.41/6.69 (define @t4960 () (= (tptp.hAPP @t4959 @t115) @t115)) % 6.41/6.69 (define @t4961 () (@var "V_prod_2" $$unsorted)) % 6.41/6.69 (define @t4962 () (@var "T_f" $$unsorted)) % 6.41/6.69 (define @t4963 () (@var "V_g2_2" $$unsorted)) % 6.41/6.69 (define @t4964 () (@var "V_g1_2" $$unsorted)) % 6.41/6.69 (define @t4965 () (tptp.tc_prod @t3167 @t4962)) % 6.41/6.69 (define @t4966 () (tptp.hAPP (tptp.c_Fun_Ocomp @t210 @t74 @t8 @t1) @t2)) % 6.41/6.69 (define @t4967 () (tptp.c_Fun_Ocomp @t210 @t74 @t8 @t2)) % 6.41/6.69 (define @t4968 () (tptp.hAPP @t4967 @t1)) % 6.41/6.69 (define @t4969 () (tptp.hAPP @t4449 @t2)) % 6.41/6.69 (define @t4970 () (@list @t1 @t2 @t8 @t74 @t210)) % 6.41/6.69 (define @t4971 () (@var "V_option_2" $$unsorted)) % 6.41/6.69 (define @t4972 () (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t8 @t210 @t2) @t1)) % 6.41/6.69 (define @t4973 () (tptp.hAPP (tptp.c_Option_Omap @t210 @t8) @t4972)) % 6.41/6.69 (define @t4974 () (tptp.hAPP @t4449 @t1)) % 6.41/6.69 (define @t4975 () (tptp.hAPP (tptp.c_Fun_Ocomp @t210 @t74 @t3169 @t2) @t1)) % 6.41/6.69 (define @t4976 () (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t74 @t74 @t1676) @t115)) % 6.41/6.69 (define @t4977 () (tptp.hAPP @t4959 @t1676)) % 6.41/6.69 (define @t4978 () (tptp.hAPP @t4972 @t73)) % 6.41/6.69 (define @t4979 () (= @t4955 (tptp.hAPP (tptp.c_Fun_Ocomp @t3169 @t74 @t8 @t18) @t60))) % 6.41/6.69 (define @t4980 () (@var "V_x_H_2" $$unsorted)) % 6.41/6.69 (define @t4981 () (@var "V_g_H_2" $$unsorted)) % 6.41/6.69 (define @t4982 () (tptp.c_Fun_Ocomp @t74 @t210 @t8 @t1)) % 6.41/6.69 (define @t4983 () (tptp.c_List_Omap @t210 @t74)) % 6.41/6.69 (define @t4984 () (tptp.hAPP @t4983 @t2)) % 6.41/6.69 (define @t4985 () (tptp.tc_List_Olist @t210)) % 6.41/6.69 (define @t4986 () (@var "V_list_2" $$unsorted)) % 6.41/6.69 (define @t4987 () (tptp.c_List_Omap @t210 @t8)) % 6.41/6.69 (define @t4988 () (tptp.hAPP @t4987 @t4972)) % 6.41/6.69 (define @t4989 () (tptp.hAPP @t4983 @t1)) % 6.41/6.69 (define @t4990 () (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t210 @t8 @t1096) @t2)) % 6.41/6.69 (define @t4991 () (tptp.hAPP @t4543 @t4990)) % 6.41/6.69 (define @t4992 () (tptp.hAPP @t4541 @t1096)) % 6.41/6.69 (define @t4993 () (@list @t1096 @t289 @t2 @t74 @t8 @t210)) % 6.41/6.69 (define @t4994 () (tptp.hAPP @t4537 @t1096)) % 6.41/6.69 (define @t4995 () (= (tptp.hAPP @t4994 @t289) (tptp.hAPP (tptp.hAPP @t4539 @t1) @t51))) % 6.41/6.69 (define @t4996 () (= @t289 @t1089)) % 6.41/6.69 (define @t4997 () (@list @t1096 @t1 @t289 @t51 @t2 @t74 @t8 @t210)) % 6.41/6.69 (define @t4998 () (tptp.c_Fun_Ocomp @t4450 @t418 @t8 @t4969)) % 6.41/6.69 (define @t4999 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t74 @t8 @t1) @t1096)) % 6.41/6.69 (define @t5000 () (tptp.hAPP @t1325 @t51)) % 6.41/6.69 (define @t5001 () (tptp.c_Fun_Oinj__on @t8 @t8 @t1096 @t51)) % 6.41/6.69 (define @t5002 () (@list @t1 @t1096 @t51 @t8 @t74)) % 6.41/6.69 (define @t5003 () (tptp.hAPP (tptp.c_Set_Oimage @t210 @t8 @t1) @t51)) % 6.41/6.69 (define @t5004 () (tptp.tc_fun @t210 @t2930)) % 6.41/6.69 (define @t5005 () (tptp.hAPP (tptp.c_List_Omap @t4549 @t2930) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t210 @t2930) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4231 @t5004) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2940 (tptp.tc_fun @t4231 @t5004) @t8) (tptp.c_COMBB @t74 @t2930 @t210)) @t2933)) @t2)))) % 6.41/6.69 (define @t5006 () (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t74 @t74 @t357) @t115)) % 6.41/6.69 (define @t5007 () (tptp.c_Finite__Set_Ofolding @t8 @t74 @t2 @t244)) % 6.41/6.69 (define @t5008 () (@list @t73 @t51 @t244 @t2 @t74 @t8)) % 6.41/6.69 (define @t5009 () (tptp.c_Finite__Set_Ofolding__image @t8 @t74 @t2 @t261 @t244)) % 6.41/6.69 (define @t5010 () (tptp.tc_prod @t3169 @t210)) % 6.41/6.69 (define @t5011 () (tptp.c_Fun_Ocomp @t74 @t74 @t210 @t1676)) % 6.41/6.69 (define @t5012 () (tptp.c_Fun_Ocomp @t74 @t74 @t210 @t115)) % 6.41/6.69 (define @t5013 () (tptp.hAPP @t5012 @t1)) % 6.41/6.69 (define @t5014 () (tptp.hAPP @t4984 @t4884)) % 6.41/6.69 (define @t5015 () (tptp.c_Fun_Ocomp @t74 @t74 @t74 @t245)) % 6.41/6.69 (define @t5016 () (tptp.hAPP @t5015 @t115)) % 6.41/6.69 (define @t5017 () (tptp.c_Fun_Ocomp @t74 @t74 @t210 @t245)) % 6.41/6.69 (define @t5018 () (tptp.hAPP @t5017 @t1)) % 6.41/6.69 (define @t5019 () (tptp.hAPP @t5015 @t995)) % 6.41/6.69 (define @t5020 () (@list @t289 @t51 @t244 @t2 @t74 @t8)) % 6.41/6.69 (define @t5021 () (tptp.c_Fun_Ocomp @t74 @t74 @t210 @t995)) % 6.41/6.69 (define @t5022 () (= @t247 @t5016)) % 6.41/6.69 (define @t5023 () (= @t1762 @t5019)) % 6.41/6.69 (define @t5024 () (tptp.c_Hoare__Mirabelle_Opeek__and @t8 @t117 (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate tptp.c_fNot) @t58))) % 6.41/6.69 (define @t5025 () (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP @t119 @t4833) @t5024)) @t11)) % 6.41/6.69 (define @t5026 () (tptp.hAPP (tptp.hAPP @t118 (tptp.c_Hoare__Mirabelle_Opeek__and @t8 @t117 @t58)) @t18)) % 6.41/6.69 (define @t5027 () (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP @t5026 @t117)) @t11)) % 6.41/6.69 (define @t5028 () (= @t3 @t43)) % 6.41/6.69 (define @t5029 () (tptp.c_Finite__Set_Ofolding__idem @t8 @t74 @t2 @t244)) % 6.41/6.69 (define @t5030 () (tptp.hAPP @t309 @t4904)) % 6.41/6.69 (define @t5031 () (tptp.hAPP @t5030 @t86)) % 6.41/6.69 (define @t5032 () (tptp.c_List_Oremove1 @t8 @t73 @t4884)) % 6.41/6.69 (define @t5033 () (tptp.hAPP @t4903 @t5032)) % 6.41/6.69 (define @t5034 () (tptp.hBOOL (tptp.hAPP @t4933 @t4884))) % 6.41/6.69 (define @t5035 () (@list @t73 @t4884 @t8)) % 6.41/6.69 (define @t5036 () (tptp.c_List_Ozip @t8 @t74)) % 6.41/6.69 (define @t5037 () (tptp.hAPP @t5036 @t4884)) % 6.41/6.69 (define @t5038 () (tptp.hAPP (tptp.hAPP @t4860 (tptp.hAPP @t5037 @t4887)) @t73)) % 6.41/6.69 (define @t5039 () (tptp.hBOOL (tptp.hAPP @t283 @t4904))) % 6.41/6.69 (define @t5040 () (not @t5039)) % 6.41/6.69 (define @t5041 () (@var "V_zs" $$unsorted)) % 6.41/6.69 (define @t5042 () (@list @t5041 @t284 @t95 @t8)) % 6.41/6.69 (define @t5043 () (@var "V_ys" $$unsorted)) % 6.41/6.69 (define @t5044 () (@var "V_xs" $$unsorted)) % 6.41/6.69 (define @t5045 () (tptp.hAPP @t5036 @t5044)) % 6.41/6.69 (define @t5046 () (tptp.hAPP @t5045 @t5043)) % 6.41/6.69 (define @t5047 () (tptp.c_List_Odistinct @t2930)) % 6.41/6.69 (define @t5048 () (tptp.hBOOL (tptp.hAPP @t4933 @t5044))) % 6.41/6.69 (define @t5049 () (@list @t5043 @t74 @t5044 @t8)) % 6.41/6.69 (define @t5050 () (tptp.c_List_Oremove1 @t8 @t95 @t5044)) % 6.41/6.69 (define @t5051 () (@list @t95 @t5044 @t8)) % 6.41/6.69 (define @t5052 () (tptp.c_List_Ozip @t74 @t8)) % 6.41/6.69 (define @t5053 () (@list @t4884 @t73 @t8)) % 6.41/6.69 (define @t5054 () (tptp.hBOOL (tptp.hAPP @t298 @t4904))) % 6.41/6.69 (define @t5055 () (tptp.hAPP (tptp.c_List_Ozip @t8 @t8) @t4884)) % 6.41/6.69 (define @t5056 () (tptp.hAPP @t5055 @t4884)) % 6.41/6.69 (define @t5057 () (@var "V_zs_2" $$unsorted)) % 6.41/6.69 (define @t5058 () (tptp.hAPP (tptp.c_List_Omap @t2930 @t74) @t3249)) % 6.41/6.69 (define @t5059 () (tptp.hAPP @t5058 @t5057)) % 6.41/6.69 (define @t5060 () (tptp.hAPP @t4932 @t5057)) % 6.41/6.69 (define @t5061 () (tptp.tc_fun @t3169 @t3168)) % 6.41/6.69 (define @t5062 () (tptp.tc_fun @t3169 @t210)) % 6.41/6.69 (define @t5063 () (tptp.c_List_Ozip @t74 @t210)) % 6.41/6.69 (define @t5064 () (tptp.hAPP (tptp.c_List_Omap @t3168 @t8) @t2)) % 6.41/6.69 (define @t5065 () (tptp.hAPP (tptp.c_List_Omap @t3169 @t74) @t1)) % 6.41/6.69 (define @t5066 () (tptp.hBOOL (tptp.hAPP @t4066 @t4915))) % 6.41/6.69 (define @t5067 () (tptp.hAPP @t5037 @t4883)) % 6.41/6.69 (define @t5068 () (tptp.hAPP @t4918 @t5067)) % 6.41/6.69 (define @t5069 () (tptp.hBOOL (tptp.hAPP @t2937 @t5068))) % 6.41/6.69 (define @t5070 () (@list @t4883 @t4884 @t100 @t73 @t74 @t8)) % 6.41/6.69 (define @t5071 () (tptp.c_List_Oset @t3067)) % 6.41/6.69 (define @t5072 () (tptp.hAPP @t4987 @t2)) % 6.41/6.69 (define @t5073 () (tptp.hAPP @t5036 (tptp.hAPP @t5072 @t4884))) % 6.41/6.69 (define @t5074 () (tptp.tc_fun @t3169 @t2930)) % 6.41/6.69 (define @t5075 () (tptp.tc_fun @t3169 @t74)) % 6.41/6.69 (define @t5076 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t51)) % 6.41/6.69 (define @t5077 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t356)) % 6.41/6.69 (define @t5078 () (tptp.c_List_Olinorder__class_Oinsort__key @t8 @t8 @t1505)) % 6.41/6.69 (define @t5079 () (tptp.hAPP @t5078 @t73)) % 6.41/6.69 (define @t5080 () (tptp.hAPP @t5052 @t4884)) % 6.41/6.69 (define @t5081 () (tptp.hAPP @t4859 (tptp.hAPP @t5080 @t5057))) % 6.41/6.69 (define @t5082 () (tptp.hAPP @t4859 (tptp.hAPP @t5080 @t4883))) % 6.41/6.69 (define @t5083 () (= @t5082 @t5081)) % 6.41/6.69 (define @t5084 () (tptp.hAPP @t87 @t261)) % 6.41/6.69 (define @t5085 () (tptp.c_Nat_Osize__class_Osize @t4881)) % 6.41/6.69 (define @t5086 () (tptp.hAPP @t5085 @t4884)) % 6.41/6.69 (define @t5087 () (tptp.c_Nat_Osize__class_Osize @t4813)) % 6.41/6.69 (define @t5088 () (= (tptp.hAPP @t5087 @t5057) @t5086)) % 6.41/6.69 (define @t5089 () (tptp.hAPP @t5087 @t4883)) % 6.41/6.69 (define @t5090 () (= @t5089 @t5086)) % 6.41/6.69 (define @t5091 () (= @t5089 @t281)) % 6.41/6.69 (define @t5092 () (tptp.hAPP @t5087 @t4884)) % 6.41/6.69 (define @t5093 () (tptp.c_Product__Type_OPair @t4813 @t4813)) % 6.41/6.69 (define @t5094 () (tptp.hAPP @t5093 @t4884)) % 6.41/6.69 (define @t5095 () (tptp.c_member @t4818)) % 6.41/6.69 (define @t5096 () (tptp.hAPP @t5095 (tptp.hAPP @t5094 @t4883))) % 6.41/6.69 (define @t5097 () (tptp.hAPP @t5079 @t4884)) % 6.41/6.69 (define @t5098 () (tptp.hAPP @t5078 @t100)) % 6.41/6.69 (define @t5099 () (tptp.c_List_Olinorder__class_Oinsort__key @t74 @t8 @t2)) % 6.41/6.69 (define @t5100 () (tptp.hAPP @t5099 @t100)) % 6.41/6.69 (define @t5101 () (tptp.hAPP @t5099 @t73)) % 6.41/6.69 (define @t5102 () (tptp.hAPP @t5101 @t4884)) % 6.41/6.69 (define @t5103 () (= @t5044 @t5043)) % 6.41/6.69 (define @t5104 () (tptp.hAPP @t5087 @t5043)) % 6.41/6.69 (define @t5105 () (tptp.hAPP @t5087 @t5044)) % 6.41/6.69 (define @t5106 () (@list @t5043 @t5044 @t8)) % 6.41/6.69 (define @t5107 () (tptp.hAPP tptp.c_Nat_OSuc @t5092)) % 6.41/6.69 (define @t5108 () (tptp.c_List_Olinorder__class_Oinsort__key @t8 @t74 @t2)) % 6.41/6.69 (define @t5109 () (tptp.hAPP @t5108 @t73)) % 6.41/6.69 (define @t5110 () (tptp.hAPP @t5109 @t4884)) % 6.41/6.69 (define @t5111 () (tptp.class_Orderings_Olinorder @t74)) % 6.41/6.69 (define @t5112 () (@list @t4884 @t73 @t2 @t8 @t74)) % 6.41/6.69 (define @t5113 () (tptp.hAPP @t5085 @t5043)) % 6.41/6.69 (define @t5114 () (tptp.hAPP @t1984 @t5105)) % 6.41/6.69 (define @t5115 () (tptp.tc_List_Olist @t2930)) % 6.41/6.69 (define @t5116 () (tptp.hAPP @t85 @t4904)) % 6.41/6.69 (define @t5117 () (tptp.hAPP @t402 @t4904)) % 6.41/6.69 (define @t5118 () (= @t5117 @t5092)) % 6.41/6.69 (define @t5119 () (= @t4883 @t5057)) % 6.41/6.69 (define @t5120 () (tptp.hAPP @t5085 @t4883)) % 6.41/6.69 (define @t5121 () (= @t5092 @t5120)) % 6.41/6.69 (define @t5122 () (@list @t4883 @t74 @t4884 @t8)) % 6.41/6.69 (define @t5123 () (and @t5040 @t5034)) % 6.41/6.69 (define @t5124 () (tptp.hBOOL (tptp.hAPP @t1100 @t5092))) % 6.41/6.69 (define @t5125 () (tptp.tc_fun @t4819 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t5126 () (tptp.tc_fun @t4813 @t5125)) % 6.41/6.69 (define @t5127 () (tptp.tc_fun @t4813 @t4818)) % 6.41/6.69 (define @t5128 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1900 @t4813)) % 6.41/6.69 (define @t5129 () (tptp.hAPP (tptp.hAPP @t5128 tptp.c_fequal) @t5087)) % 6.41/6.69 (define @t5130 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t4813)) % 6.41/6.69 (define @t5131 () (tptp.tc_fun @t4813 tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5132 () (tptp.hAPP (tptp.c_COMBB @t1900 (tptp.tc_fun @t5131 @t4877) @t4813) @t5130)) % 6.41/6.69 (define @t5133 () (tptp.c_COMBC @t4813 @t5131 @t4877)) % 6.41/6.69 (define @t5134 () (tptp.hAPP (tptp.hAPP @t5133 (tptp.hAPP @t5132 @t5129)) @t5087)) % 6.41/6.69 (define @t5135 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1632 @t4813)) % 6.41/6.69 (define @t5136 () (tptp.hAPP @t5135 tptp.c_fconj)) % 6.41/6.69 (define @t5137 () (tptp.tc_fun @t4813 @t1632)) % 6.41/6.69 (define @t5138 () (tptp.c_COMBB @t4877 @t5137 @t4813)) % 6.41/6.69 (define @t5139 () (tptp.c_COMBS @t4813 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t5140 () (tptp.tc_fun @t4877 @t4877)) % 6.41/6.69 (define @t5141 () (tptp.hAPP (tptp.c_COMBB @t5137 @t5140 @t4813) @t5139)) % 6.41/6.69 (define @t5142 () (tptp.c_COMBS @t4813 @t4877 @t4877)) % 6.41/6.69 (define @t5143 () (tptp.c_Product__Type_Oprod_Oprod__case @t4813 @t4813 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t5144 () (tptp.c_Set_OCollect @t4818)) % 6.41/6.69 (define @t5145 () (tptp.tc_prod tptp.tc_Nat_Onat @t4813)) % 6.41/6.69 (define @t5146 () (tptp.c_COMBC @t4813 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t5147 () (tptp.hAPP @t5146 @t5129)) % 6.41/6.69 (define @t5148 () (tptp.hAPP @t5147 @t281)) % 6.41/6.69 (define @t5149 () (tptp.c_COMBB @t55 @t3513 @t4813)) % 6.41/6.69 (define @t5150 () (tptp.c_COMBC @t4813 @t55 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t5151 () (tptp.hAPP @t5150 (tptp.hAPP (tptp.hAPP @t5149 @t744) @t4903))) % 6.41/6.69 (define @t5152 () (tptp.hAPP @t5151 @t51)) % 6.41/6.69 (define @t5153 () (tptp.hAPP @t5139 (tptp.hAPP @t5136 @t5152))) % 6.41/6.69 (define @t5154 () (tptp.c_Set_OCollect @t4813)) % 6.41/6.69 (define @t5155 () (@list @t281 @t51 @t8)) % 6.41/6.69 (define @t5156 () (tptp.hBOOL (tptp.hAPP @t4823 (tptp.hAPP @t5071 (tptp.hAPP @t5055 @t4883))))) % 6.41/6.69 (define @t5157 () (= @t5092 @t5089)) % 6.41/6.69 (define @t5158 () (@list @t8 @t4883 @t4884)) % 6.41/6.69 (define @t5159 () (tptp.hAPP @t4860 @t5067)) % 6.41/6.69 (define @t5160 () (tptp.hAPP @t5159 @t73)) % 6.41/6.69 (define @t5161 () (@list @t73 @t4883 @t74 @t4884 @t8)) % 6.41/6.69 (define @t5162 () (tptp.hAPP @t127 @t43)) % 6.41/6.69 (define @t5163 () (tptp.hAPP @t5087 @t5032)) % 6.41/6.69 (define @t5164 () (tptp.c_List_Olistrel @t8 @t2917)) % 6.41/6.69 (define @t5165 () (tptp.hBOOL (tptp.hAPP @t5096 @t5164))) % 6.41/6.69 (define @t5166 () (@list @t2917 @t4883 @t4884 @t8)) % 6.41/6.69 (define @t5167 () (tptp.hAPP @t4579 @t5092)) % 6.41/6.69 (define @t5168 () (tptp.hAPP @t4583 (tptp.hAPP @t4582 @t5167))) % 6.41/6.69 (define @t5169 () (tptp.hAPP @t5168 (tptp.hAPP @t4581 @t2383))) % 6.41/6.69 (define @t5170 () (tptp.c_List_Osublist @t8 @t4884 @t2383)) % 6.41/6.69 (define @t5171 () (@list @t2383 @t4884 @t8)) % 6.41/6.69 (define @t5172 () (tptp.c_Orderings_Oord__class_Oless__eq @t4819)) % 6.41/6.69 (define @t5173 () (tptp.hAPP @t5172 @t5164)) % 6.41/6.69 (define @t5174 () (tptp.hAPP @t4903 @t5170)) % 6.41/6.69 (define @t5175 () (tptp.hBOOL (tptp.hAPP @t283 @t5174))) % 6.41/6.69 (define @t5176 () (@list @t2383 @t4884 @t73 @t8)) % 6.41/6.69 (define @t5177 () (tptp.hAPP @t5093 @t73)) % 6.41/6.69 (define @t5178 () (tptp.hAPP @t5147 @t282)) % 6.41/6.69 (define @t5179 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4813)) % 6.41/6.69 (define @t5180 () (tptp.c_List_Olist_OCons @t8)) % 6.41/6.69 (define @t5181 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t4813 @t4813) @t5180)) % 6.41/6.69 (define @t5182 () (tptp.tc_prod @t8 @t4813)) % 6.41/6.69 (define @t5183 () (tptp.hAPP @t5180 @t95)) % 6.41/6.69 (define @t5184 () (tptp.hAPP @t5183 @t5043)) % 6.41/6.69 (define @t5185 () (tptp.hAPP @t753 @t5105)) % 6.41/6.69 (define @t5186 () (tptp.c_List_Olist_OCons @t2930)) % 6.41/6.69 (define @t5187 () (tptp.c_List_Olist_OCons @t74)) % 6.41/6.69 (define @t5188 () (tptp.hAPP @t5183 @t5044)) % 6.41/6.69 (define @t5189 () (tptp.hAPP @t5180 @t73)) % 6.41/6.69 (define @t5190 () (tptp.hAPP @t5189 @t4884)) % 6.41/6.69 (define @t5191 () (tptp.hAPP @t4903 @t5190)) % 6.41/6.69 (define @t5192 () (tptp.hAPP @t744 @t4904)) % 6.41/6.69 (define @t5193 () (@list @t95 @t8 @t5044)) % 6.41/6.69 (define @t5194 () (@list @t5044 @t95 @t8)) % 6.41/6.69 (define @t5195 () (@var "V_list_H_2" $$unsorted)) % 6.41/6.69 (define @t5196 () (tptp.hAPP @t5180 @t13)) % 6.41/6.69 (define @t5197 () (tptp.hAPP @t5196 @t4986)) % 6.41/6.69 (define @t5198 () (tptp.hAPP @t5180 @t179)) % 6.41/6.69 (define @t5199 () (tptp.hAPP @t5180 @t176)) % 6.41/6.69 (define @t5200 () (tptp.hAPP @t5180 @t100)) % 6.41/6.69 (define @t5201 () (tptp.hAPP @t5200 @t4883)) % 6.41/6.69 (define @t5202 () (tptp.hAPP @t5187 @t73)) % 6.41/6.69 (define @t5203 () (tptp.hAPP @t5202 @t4884)) % 6.41/6.69 (define @t5204 () (tptp.c_List_Ofoldr @t74 @t8 @t2 @t4884 @t13)) % 6.41/6.69 (define @t5205 () (tptp.hAPP @t5180 @t284)) % 6.41/6.69 (define @t5206 () (tptp.hAPP @t5205 @t5044)) % 6.41/6.69 (define @t5207 () (tptp.c_List_Oremove1 @t8 @t95 @t5206)) % 6.41/6.69 (define @t5208 () (@list @t5044 @t8 @t284 @t95)) % 6.41/6.69 (define @t5209 () (tptp.hAPP @t5187 @t100)) % 6.41/6.69 (define @t5210 () (tptp.hAPP @t5209 @t4883)) % 6.41/6.69 (define @t5211 () (tptp.hAPP @t5101 @t5210)) % 6.41/6.69 (define @t5212 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t115) @t1676))) % 6.41/6.69 (define @t5213 () (@var "V_ps" $$unsorted)) % 6.41/6.69 (define @t5214 () (tptp.hAPP (tptp.hAPP @t4875 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t3168) (tptp.hAPP (tptp.hAPP @t3134 @t556) @t1079)) @t5213)) @t561)) % 6.41/6.69 (define @t5215 () (= @t556 @t561)) % 6.41/6.69 (define @t5216 () (@var "V_list" $$unsorted)) % 6.41/6.69 (define @t5217 () (tptp.hAPP @t5180 @t348)) % 6.41/6.69 (define @t5218 () (tptp.hAPP @t5093 @t5190)) % 6.41/6.69 (define @t5219 () (tptp.hAPP @t5095 (tptp.hAPP @t5218 @t5201))) % 6.41/6.69 (define @t5220 () (@list @t4883 @t4884 @t2917 @t100 @t73 @t8)) % 6.41/6.69 (define @t5221 () (@list @t2917 @t4883 @t100 @t4884 @t73 @t8)) % 6.41/6.69 (define @t5222 () (tptp.c_Orderings_Obot__class_Obot @t4877)) % 6.41/6.69 (define @t5223 () (tptp.c_Set_Oinsert @t4813)) % 6.41/6.69 (define @t5224 () (tptp.c_Relation_OImage @t4813 @t4813 @t5164)) % 6.41/6.69 (define @t5225 () (tptp.c_member @t4813)) % 6.41/6.69 (define @t5226 () (tptp.hAPP (tptp.c_COMBC @t4813 @t4877 tptp.tc_HOL_Obool) @t5225)) % 6.41/6.69 (define @t5227 () (tptp.tc_fun @t4813 @t4813)) % 6.41/6.69 (define @t5228 () (tptp.tc_fun @t5227 @t4877)) % 6.41/6.69 (define @t5229 () (tptp.tc_fun @t8 @t4877)) % 6.41/6.69 (define @t5230 () (tptp.tc_fun @t8 @t5227)) % 6.41/6.69 (define @t5231 () (tptp.tc_fun @t8 @t5137)) % 6.41/6.69 (define @t5232 () (tptp.tc_fun @t8 @t5140)) % 6.41/6.69 (define @t5233 () (@var "B_xs" $$unsorted)) % 6.41/6.69 (define @t5234 () (tptp.hAPP @t5180 @t3)) % 6.41/6.69 (define @t5235 () (tptp.hAPP @t5234 @t5233)) % 6.41/6.69 (define @t5236 () (@var "B_ys" $$unsorted)) % 6.41/6.69 (define @t5237 () (tptp.hAPP @t5093 @t4883)) % 6.41/6.69 (define @t5238 () (tptp.hAPP @t5180 @t43)) % 6.41/6.69 (define @t5239 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t74 @t8 @t2 @t73 @t4884)) % 6.41/6.69 (define @t5240 () (tptp.hBOOL (tptp.hAPP @t4224 @t4907))) % 6.41/6.69 (define @t5241 () (@list @t4884 @t74 @t73 @t2 @t8)) % 6.41/6.69 (define @t5242 () (tptp.c_List_Olexord @t8 @t2917)) % 6.41/6.69 (define @t5243 () (tptp.hAPP @t5095 (tptp.hAPP @t5177 @t100))) % 6.41/6.69 (define @t5244 () (tptp.hBOOL (tptp.hAPP @t5243 @t5242))) % 6.41/6.69 (define @t5245 () (tptp.hAPP (tptp.hAPP @t5180 @t58) @t100)) % 6.41/6.69 (define @t5246 () (tptp.hAPP @t5196 @t73)) % 6.41/6.69 (define @t5247 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t8 @t8 @t1505 @t73 @t4884)) % 6.41/6.69 (define @t5248 () (tptp.hAPP @t5087 @t100)) % 6.41/6.69 (define @t5249 () (tptp.hAPP @t5087 @t73)) % 6.41/6.69 (define @t5250 () (= @t5249 @t5248)) % 6.41/6.69 (define @t5251 () (@list @t2917 @t100 @t73 @t8)) % 6.41/6.69 (define @t5252 () (tptp.hAPP (tptp.hAPP @t1984 @t5092) @t5120)) % 6.41/6.69 (define @t5253 () (tptp.c_List_Onth @t74)) % 6.41/6.69 (define @t5254 () (tptp.hAPP @t5253 @t4883)) % 6.41/6.69 (define @t5255 () (tptp.c_List_Onth @t8)) % 6.41/6.69 (define @t5256 () (tptp.hAPP @t5255 @t4884)) % 6.41/6.69 (define @t5257 () (tptp.tc_fun tptp.tc_Nat_Onat @t2930)) % 6.41/6.69 (define @t5258 () (tptp.tc_fun tptp.tc_Nat_Onat @t1632)) % 6.41/6.69 (define @t5259 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5260 () (tptp.hAPP @t5255 @t5188)) % 6.41/6.69 (define @t5261 () (tptp.hAPP @t5255 @t5044)) % 6.41/6.69 (define @t5262 () (tptp.hAPP @t5261 @t336)) % 6.41/6.69 (define @t5263 () (tptp.hAPP @t5255 @t4883)) % 6.41/6.69 (define @t5264 () (tptp.hAPP @t5256 @t1332)) % 6.41/6.69 (define @t5265 () (tptp.hBOOL (tptp.hAPP @t4414 @t5092))) % 6.41/6.69 (define @t5266 () (tptp.hAPP @t5261 @t592)) % 6.41/6.69 (define @t5267 () (tptp.hBOOL (tptp.hAPP @t603 @t5105))) % 6.41/6.69 (define @t5268 () (tptp.hAPP @t117 @t5264)) % 6.41/6.69 (define @t5269 () (tptp.hBOOL @t5268)) % 6.41/6.69 (define @t5270 () (=> @t5265 @t5269)) % 6.41/6.69 (define @t5271 () (forall @t1336 @t5270)) % 6.41/6.69 (define @t5272 () (tptp.hBOOL (tptp.hAPP @t137 @t4904))) % 6.41/6.69 (define @t5273 () (forall @t7 (=> @t5272 @t135))) % 6.41/6.69 (define @t5274 () (@list @t117 @t4884 @t8)) % 6.41/6.69 (define @t5275 () (tptp.hAPP @t5256 @t281)) % 6.41/6.69 (define @t5276 () (tptp.hBOOL (tptp.hAPP @t655 @t5092))) % 6.41/6.69 (define @t5277 () (tptp.hAPP @t5256 @t1236)) % 6.41/6.69 (define @t5278 () (tptp.hBOOL (tptp.hAPP @t1237 @t5092))) % 6.41/6.69 (define @t5279 () (tptp.hAPP @t5256 @t637)) % 6.41/6.69 (define @t5280 () (tptp.hAPP @t5256 @t638)) % 6.41/6.69 (define @t5281 () (tptp.hAPP @t472 @t637)) % 6.41/6.69 (define @t5282 () (tptp.hBOOL (tptp.hAPP @t643 @t5092))) % 6.41/6.69 (define @t5283 () (@list @t637 @t638 @t4884 @t8)) % 6.41/6.69 (define @t5284 () (tptp.hAPP @t5260 @t336)) % 6.41/6.69 (define @t5285 () (@list @t5044 @t95 @t8 @t336)) % 6.41/6.69 (define @t5286 () (tptp.c_COMBB @t8 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5287 () (tptp.tc_fun tptp.tc_Nat_Onat @t8)) % 6.41/6.69 (define @t5288 () (tptp.hAPP (tptp.c_COMBC @t8 @t1900 @t1900) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5258 @t3303 @t8) @t4583) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1900 @t5258 @t8) @t4582) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5287 @t1900) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 (tptp.tc_fun @t5287 @t1900) @t8) @t5286) tptp.c_fequal)) @t5256))))) % 6.41/6.69 (define @t5289 () (tptp.hAPP (tptp.c_COMBB @t1900 tptp.tc_HOL_Obool @t8) @t5259)) % 6.41/6.69 (define @t5290 () (tptp.hAPP @t5260 @t1355)) % 6.41/6.69 (define @t5291 () (not @t1842)) % 6.41/6.69 (define @t5292 () (@list @t5044 @t95 @t8 @t1079)) % 6.41/6.69 (define @t5293 () (tptp.c_List_Olist_Olist__size @t8 @t2 @t4884)) % 6.41/6.69 (define @t5294 () (tptp.hAPP @t472 @t100)) % 6.41/6.69 (define @t5295 () (@list @t2 @t100 @t4884 @t73 @t8)) % 6.41/6.69 (define @t5296 () (tptp.hAPP @t5256 @t427)) % 6.41/6.69 (define @t5297 () (tptp.hAPP @t3085 @t5296)) % 6.41/6.69 (define @t5298 () (tptp.hAPP @t472 @t427)) % 6.41/6.69 (define @t5299 () (tptp.hBOOL (tptp.hAPP @t5298 @t5092))) % 6.41/6.69 (define @t5300 () (tptp.c_List_Otake @t8)) % 6.41/6.69 (define @t5301 () (tptp.hAPP @t5300 @t1332)) % 6.41/6.69 (define @t5302 () (tptp.c_List_Olist__update @t8 @t4884)) % 6.41/6.69 (define @t5303 () (tptp.hAPP @t5302 @t638)) % 6.41/6.69 (define @t5304 () (tptp.c_List_Olist__update @t8 @t5044)) % 6.41/6.69 (define @t5305 () (tptp.hAPP @t5304 @t592)) % 6.41/6.69 (define @t5306 () (@list @t592 @t5044 @t8)) % 6.41/6.69 (define @t5307 () (tptp.hAPP @t5261 @t562)) % 6.41/6.69 (define @t5308 () (tptp.hAPP @t5305 @t95)) % 6.41/6.69 (define @t5309 () (tptp.hAPP @t5255 @t5308)) % 6.41/6.69 (define @t5310 () (tptp.hAPP @t5309 @t562)) % 6.41/6.69 (define @t5311 () (= @t592 @t562)) % 6.41/6.69 (define @t5312 () (=> (not @t5311) (= @t5310 @t5307))) % 6.41/6.69 (define @t5313 () (tptp.hAPP @t5300 @t336)) % 6.41/6.69 (define @t5314 () (tptp.hAPP @t5313 @t5044)) % 6.41/6.69 (define @t5315 () (tptp.hBOOL (tptp.hAPP @t5185 @t336))) % 6.41/6.69 (define @t5316 () (@list @t336 @t5044 @t8)) % 6.41/6.69 (define @t5317 () (@list @t95 @t592 @t5044 @t8)) % 6.41/6.69 (define @t5318 () (tptp.hAPP @t5300 @t281)) % 6.41/6.69 (define @t5319 () (tptp.hAPP @t5318 @t4884)) % 6.41/6.69 (define @t5320 () (tptp.hAPP @t4903 @t5319)) % 6.41/6.69 (define @t5321 () (@list @t4884 @t281 @t8)) % 6.41/6.69 (define @t5322 () (@var "V_xy" $$unsorted)) % 6.41/6.69 (define @t5323 () (tptp.hAPP (tptp.c_List_Olist__update @t74 @t5043) @t592)) % 6.41/6.69 (define @t5324 () (tptp.hAPP (tptp.c_List_Olist__update @t2930 @t5046) @t592)) % 6.41/6.69 (define @t5325 () (tptp.c_List_Otake @t74)) % 6.41/6.69 (define @t5326 () (@list @t5043 @t5044 @t336 @t74 @t8)) % 6.41/6.69 (define @t5327 () (tptp.hAPP @t5325 @t281)) % 6.41/6.69 (define @t5328 () (@list @t4884 @t2 @t74 @t281 @t8)) % 6.41/6.69 (define @t5329 () (@var "V_x_H" $$unsorted)) % 6.41/6.69 (define @t5330 () (@var "V_i_H" $$unsorted)) % 6.41/6.69 (define @t5331 () (tptp.c_List_Olist__update @t8 @t5308)) % 6.41/6.69 (define @t5332 () (tptp.hAPP @t5305 @t284)) % 6.41/6.69 (define @t5333 () (tptp.hAPP (tptp.hAPP @t5300 @t521) @t5044)) % 6.41/6.69 (define @t5334 () (@list @t5044 @t521 @t336 @t8)) % 6.41/6.69 (define @t5335 () (tptp.hAPP (tptp.hAPP @t5300 @t592) @t5044)) % 6.41/6.69 (define @t5336 () (@list @t5044 @t336 @t8)) % 6.41/6.69 (define @t5337 () (@list @t4884 @t281 @t73 @t8)) % 6.41/6.69 (define @t5338 () (tptp.hAPP @t5300 @t337)) % 6.41/6.69 (define @t5339 () (@list @t5044 @t95 @t336 @t8)) % 6.41/6.69 (define @t5340 () (tptp.c_List_Olist__update @t8 @t5188)) % 6.41/6.69 (define @t5341 () (tptp.hAPP (tptp.c_COMBB @t4813 @t4813 tptp.tc_Nat_Onat) @t5189)) % 6.41/6.69 (define @t5342 () (tptp.hAPP @t5303 @t73)) % 6.41/6.69 (define @t5343 () (tptp.hAPP @t744 (tptp.hAPP @t4903 @t5342))) % 6.41/6.69 (define @t5344 () (tptp.c_Map_Omap__upds @t8 @t74 @t2 @t4884 @t4883)) % 6.41/6.69 (define @t5345 () (tptp.c_Map_Omap__upds @t8 @t74 (tptp.hAPP @t752 @t417) @t4884 @t4883)) % 6.41/6.69 (define @t5346 () (tptp.hAPP @t4903 (tptp.hAPP (tptp.hAPP @t5300 @t5120) @t4884))) % 6.41/6.69 (define @t5347 () (tptp.hBOOL (tptp.hAPP @t283 @t5346))) % 6.41/6.69 (define @t5348 () (tptp.c_List_Olists @t8 @t51)) % 6.41/6.69 (define @t5349 () (tptp.c_List_Olists @t8 @t289)) % 6.41/6.69 (define @t5350 () (tptp.c_Orderings_Oord__class_Oless__eq @t4877)) % 6.41/6.69 (define @t5351 () (@var "V_bs_2" $$unsorted)) % 6.41/6.69 (define @t5352 () (@var "V_as_2" $$unsorted)) % 6.41/6.69 (define @t5353 () (tptp.hAPP @t127 @t58)) % 6.41/6.69 (define @t5354 () (tptp.c_Map_Omap__upds @t8 @t74 (tptp.hAPP @t422 @t5353) @t5352 @t5351)) % 6.41/6.69 (define @t5355 () (tptp.hAPP @t5225 @t4884)) % 6.41/6.69 (define @t5356 () (tptp.hBOOL (tptp.hAPP @t5355 @t5348))) % 6.41/6.69 (define @t5357 () (tptp.hAPP @t5225 @t5190)) % 6.41/6.69 (define @t5358 () (@list @t51 @t4884 @t8)) % 6.41/6.69 (define @t5359 () (tptp.c_Map_Omap__upds @t8 @t74 @t378 @t4884 @t4883)) % 6.41/6.69 (define @t5360 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t74 @t4883) @t638) @t100)) % 6.41/6.69 (define @t5361 () (tptp.hBOOL (tptp.hAPP @t643 @t5120))) % 6.41/6.69 (define @t5362 () (tptp.hAPP @t753 @t5092)) % 6.41/6.69 (define @t5363 () (tptp.hAPP @t4903 @t5352)) % 6.41/6.69 (define @t5364 () (@list @t4883 @t4884 @t378 @t74 @t8)) % 6.41/6.69 (define @t5365 () (tptp.c_List_Olistrel1 @t8 @t2917)) % 6.41/6.69 (define @t5366 () (tptp.hAPP @t5172 @t5365)) % 6.41/6.69 (define @t5367 () (tptp.hAPP @t5093 @t100)) % 6.41/6.69 (define @t5368 () (tptp.c_Wellfounded_Oacc @t4813 @t5365)) % 6.41/6.69 (define @t5369 () (tptp.hBOOL (tptp.hAPP @t5355 @t5368))) % 6.41/6.69 (define @t5370 () (tptp.hAPP @t5095 (tptp.hAPP @t5218 (tptp.hAPP @t5189 @t4883)))) % 6.41/6.69 (define @t5371 () (tptp.hBOOL (tptp.hAPP @t5096 @t5365))) % 6.41/6.69 (define @t5372 () (@list @t73 @t2917 @t4883 @t4884 @t8)) % 6.41/6.69 (define @t5373 () (tptp.hBOOL (tptp.hAPP @t5355 (tptp.c_List_Olists @t8 @t4328)))) % 6.41/6.69 (define @t5374 () (@list @t2917 @t4884 @t8)) % 6.41/6.69 (define @t5375 () (tptp.hAPP @t3085 @t268)) % 6.41/6.69 (define @t5376 () (@list @t100 @t73 @t2917 @t8)) % 6.41/6.69 (define @t5377 () (tptp.c_List_Omonoid__add__class_Olistsum @t8)) % 6.41/6.69 (define @t5378 () (tptp.hAPP @t5377 @t4884)) % 6.41/6.69 (define @t5379 () (@var "V_ns_2" $$unsorted)) % 6.41/6.69 (define @t5380 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5381 () (tptp.hAPP @t5380 @t5379)) % 6.41/6.69 (define @t5382 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2644 @t5381)) (= @t3 @t1074)))) % 6.41/6.69 (define @t5383 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5384 () (tptp.hAPP @t5377 @t5044)) % 6.41/6.69 (define @t5385 () (@var "V_ns" $$unsorted)) % 6.41/6.69 (define @t5386 () (tptp.hAPP @t5383 @t5385)) % 6.41/6.69 (define @t5387 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5388 () (tptp.hAPP (tptp.hAPP @t5387 @t5385) @t561)) % 6.41/6.69 (define @t5389 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5390 () (tptp.c_Nat_Osize__class_Osize @t5389)) % 6.41/6.69 (define @t5391 () (tptp.hBOOL (tptp.hAPP @t612 (tptp.hAPP @t5390 @t5385)))) % 6.41/6.69 (define @t5392 () (tptp.hAPP @t5377 @t4909)) % 6.41/6.69 (define @t5393 () (tptp.hAPP @t5377 @t4893)) % 6.41/6.69 (define @t5394 () (@list @t4884 @t1 @t2 @t74 @t8)) % 6.41/6.69 (define @t5395 () (@list @t4884 @t2 @t8)) % 6.41/6.69 (define @t5396 () (tptp.c_List_Omonoid__add__class_Olistsum @t74)) % 6.41/6.69 (define @t5397 () (tptp.hAPP @t5396 @t4887)) % 6.41/6.69 (define @t5398 () (tptp.c_List_Oupto @t205 @t1468)) % 6.41/6.69 (define @t5399 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t8) @t2)) % 6.41/6.69 (define @t5400 () (tptp.c_Nitpick_Osetsum_H @t8 @t74 @t2 @t51)) % 6.41/6.69 (define @t5401 () (tptp.c_Hilbert__Choice_OEps @t4813 (tptp.hAPP (tptp.hAPP @t5139 (tptp.hAPP @t5136 (tptp.hAPP (tptp.hAPP @t5150 (tptp.hAPP (tptp.hAPP @t5149 tptp.c_fequal) @t4903)) @t51))) @t4933))) % 6.41/6.69 (define @t5402 () (tptp.class_Groups_Omonoid__add @t74)) % 6.41/6.69 (define @t5403 () (tptp.hAPP @t2905 @t73)) % 6.41/6.69 (define @t5404 () (tptp.c_Hilbert__Choice_OEps @t8 @t117)) % 6.41/6.69 (define @t5405 () (tptp.hBOOL (tptp.hAPP @t117 @t5404))) % 6.41/6.69 (define @t5406 () (@list @t8 @t117)) % 6.41/6.69 (define @t5407 () (@var "B_P" $$unsorted)) % 6.41/6.69 (define @t5408 () (tptp.c_Nitpick_Ocard_H @t8 @t51)) % 6.41/6.69 (define @t5409 () (tptp.hAPP @t4423 @t818)) % 6.41/6.69 (define @t5410 () (tptp.hAPP @t5409 @t378)) % 6.41/6.69 (define @t5411 () (tptp.hAPP @t3816 @t4635)) % 6.41/6.69 (define @t5412 () (@list @t117 @t378 @t8 @t74)) % 6.41/6.69 (define @t5413 () (tptp.c_Hilbert__Choice_OLeastM @t8 tptp.tc_Nat_Onat @t378 @t117)) % 6.41/6.69 (define @t5414 () (tptp.hAPP @t753 (tptp.hAPP @t378 @t5413))) % 6.41/6.69 (define @t5415 () (tptp.hBOOL (tptp.hAPP @t117 @t5413))) % 6.41/6.69 (define @t5416 () (tptp.hAPP @t117 @t205)) % 6.41/6.69 (define @t5417 () (tptp.hBOOL @t5416)) % 6.41/6.69 (define @t5418 () (@list @t378 @t8 @t205 @t117)) % 6.41/6.69 (define @t5419 () (tptp.hAPP @t5300 @t1297)) % 6.41/6.69 (define @t5420 () (tptp.hAPP @t5419 @t5044)) % 6.41/6.69 (define @t5421 () (@list @t5044 @t8 @t336)) % 6.41/6.69 (define @t5422 () (@list @t4884 @t2 @t8 @t74)) % 6.41/6.69 (define @t5423 () (tptp.c_List_Obutlast @t8 @t4884)) % 6.41/6.69 (define @t5424 () (tptp.hBOOL (tptp.hAPP @t283 (tptp.hAPP @t4903 @t5423)))) % 6.41/6.69 (define @t5425 () (tptp.c_List_Obutlast @t8 @t5044)) % 6.41/6.69 (define @t5426 () (tptp.hBOOL (tptp.hAPP @t549 @t5105))) % 6.41/6.69 (define @t5427 () (tptp.hAPP @t468 @t5105)) % 6.41/6.69 (define @t5428 () (tptp.hAPP @t5427 @t467)) % 6.41/6.69 (define @t5429 () (@list @t5044 @t8)) % 6.41/6.69 (define @t5430 () (tptp.hAPP @t5304 @t561)) % 6.41/6.69 (define @t5431 () (tptp.hAPP @t5430 @t95)) % 6.41/6.69 (define @t5432 () (tptp.c_List_Obutlast @t8 @t5431)) % 6.41/6.69 (define @t5433 () (= @t561 @t5428)) % 6.41/6.69 (define @t5434 () (not @t5433)) % 6.41/6.69 (define @t5435 () (tptp.hAPP @t5300 @t561)) % 6.41/6.69 (define @t5436 () (tptp.hAPP @t5255 @t5043)) % 6.41/6.69 (define @t5437 () (tptp.hAPP @t5261 @t1332)) % 6.41/6.69 (define @t5438 () (tptp.hAPP (tptp.hAPP @t5300 @t1355) @t5188)) % 6.41/6.69 (define @t5439 () (tptp.c_List_Olist_ONil @t8)) % 6.41/6.69 (define @t5440 () (@var "V_no_2" $$unsorted)) % 6.41/6.69 (define @t5441 () (tptp.hAPP @t4903 @t5440)) % 6.41/6.69 (define @t5442 () (@var "V_yes_2" $$unsorted)) % 6.41/6.69 (define @t5443 () (tptp.hAPP @t4903 @t5442)) % 6.41/6.69 (define @t5444 () (tptp.c_List_Opartition @t8 @t117 @t4884)) % 6.41/6.69 (define @t5445 () (= @t5444 (tptp.hAPP (tptp.hAPP @t5093 @t5442) @t5440))) % 6.41/6.69 (define @t5446 () (@list @t5440 @t5442 @t4884 @t117 @t8)) % 6.41/6.69 (define @t5447 () (= @t4884 @t5439)) % 6.41/6.69 (define @t5448 () (tptp.hAPP @t5095 (tptp.hAPP @t5094 @t5439))) % 6.41/6.69 (define @t5449 () (tptp.hAPP @t5093 @t5439)) % 6.41/6.69 (define @t5450 () (tptp.hAPP @t5095 (tptp.hAPP @t5449 @t4884))) % 6.41/6.69 (define @t5451 () (@var "V_list_H" $$unsorted)) % 6.41/6.69 (define @t5452 () (tptp.hAPP (tptp.hAPP @t5180 @t169) @t5451)) % 6.41/6.69 (define @t5453 () (@list @t5451 @t169 @t8)) % 6.41/6.69 (define @t5454 () (tptp.hAPP @t5189 @t5439)) % 6.41/6.69 (define @t5455 () (tptp.hAPP @t5449 @t5439)) % 6.41/6.69 (define @t5456 () (tptp.c_List_Olist_ONil @t74)) % 6.41/6.69 (define @t5457 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 6.41/6.69 (define @t5458 () (= @t4949 @t5457)) % 6.41/6.69 (define @t5459 () (tptp.c_List_Olist_ONil @t2930)) % 6.41/6.69 (define @t5460 () (tptp.hAPP @t5108 @t13)) % 6.41/6.69 (define @t5461 () (tptp.hAPP @t5460 @t4884)) % 6.41/6.69 (define @t5462 () (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5439) @t592)) % 6.41/6.69 (define @t5463 () (= @t4884 @t5456)) % 6.41/6.69 (define @t5464 () (= @t5044 @t5439)) % 6.41/6.69 (define @t5465 () (not @t5464)) % 6.41/6.69 (define @t5466 () (@list @t8 @t5044)) % 6.41/6.69 (define @t5467 () (tptp.c_List_Obutlast @t8 @t5188)) % 6.41/6.69 (define @t5468 () (not @t5447)) % 6.41/6.69 (define @t5469 () (tptp.hAPP @t5183 @t5439)) % 6.41/6.69 (define @t5470 () (tptp.c_COMBC tptp.tc_Nat_Onat @t4813 @t4813)) % 6.41/6.69 (define @t5471 () (@list @t4884 @t73 @t281 @t8)) % 6.41/6.69 (define @t5472 () (tptp.hAPP @t1526 @t1477)) % 6.41/6.69 (define @t5473 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 6.41/6.69 (define @t5474 () (tptp.c_List_Osublist @t8 @t5454 @t51)) % 6.41/6.69 (define @t5475 () (tptp.hAPP @t4591 @t51)) % 6.41/6.69 (define @t5476 () (tptp.hBOOL @t5475)) % 6.41/6.69 (define @t5477 () (tptp.tc_fun @t4818 @t4818)) % 6.41/6.69 (define @t5478 () (tptp.tc_fun @t4813 @t5477)) % 6.41/6.69 (define @t5479 () (@list @t4884 @t73 @t117 @t8)) % 6.41/6.69 (define @t5480 () (tptp.hAPP (tptp.hAPP @t5223 @t5439) @t5222)) % 6.41/6.69 (define @t5481 () (tptp.hAPP @t5313 @t5188)) % 6.41/6.69 (define @t5482 () (tptp.hAPP @t1462 @t521)) % 6.41/6.69 (define @t5483 () (tptp.c_List_Oupto @t5482 @t2372)) % 6.41/6.69 (define @t5484 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t5482) @t2372))) % 6.41/6.69 (define @t5485 () (tptp.c_COMBC @t8 @t4813 @t4813)) % 6.41/6.69 (define @t5486 () (tptp.hAPP @t5485 @t5180)) % 6.41/6.69 (define @t5487 () (tptp.hAPP @t5486 @t5439)) % 6.41/6.69 (define @t5488 () (tptp.hBOOL (tptp.hAPP @t1927 @t637))) % 6.41/6.69 (define @t5489 () (tptp.c_Wellfounded_Oaccp @t2920 tptp.c_List_Oupto__rel)) % 6.41/6.69 (define @t5490 () (tptp.hAPP (tptp.hAPP @t2842 @t205) @t2841)) % 6.41/6.69 (define @t5491 () (tptp.c_Lazy__Sequence_Oanamorph @t74 @t8 @t2)) % 6.41/6.69 (define @t5492 () (tptp.c_Product__Type_OPair @t4813 @t74)) % 6.41/6.69 (define @t5493 () (tptp.tc_prod @t4813 @t74)) % 6.41/6.69 (define @t5494 () (tptp.tc_fun @t74 @t5493)) % 6.41/6.69 (define @t5495 () (tptp.tc_fun @t4813 @t5494)) % 6.41/6.69 (define @t5496 () (tptp.tc_fun @t5493 @t5493)) % 6.41/6.69 (define @t5497 () (tptp.hAPP (tptp.hAPP @t5492 @t5439) @t73)) % 6.41/6.69 (define @t5498 () (tptp.hAPP (tptp.hAPP @t5491 @t205) @t73)) % 6.41/6.69 (define @t5499 () (= @t205 @t2833)) % 6.41/6.69 (define @t5500 () (not @t5499)) % 6.41/6.69 (define @t5501 () (@list @t73 @t2 @t8 @t74 @t205)) % 6.41/6.69 (define @t5502 () (tptp.tc_fun @t5115 @t5115)) % 6.41/6.69 (define @t5503 () (tptp.tc_fun @t4813 @t5115)) % 6.41/6.69 (define @t5504 () (tptp.c_List_Olist_Olist__case @t8 @t74 @t129 @t125)) % 6.41/6.69 (define @t5505 () (@var "V_As_2" $$unsorted)) % 6.41/6.69 (define @t5506 () (tptp.tc_fun @t4881 @t5115)) % 6.41/6.69 (define @t5507 () (@list @t4883 @t4884 @t73 @t74 @t8)) % 6.41/6.69 (define @t5508 () (tptp.c_List_Oappend @t8)) % 6.41/6.69 (define @t5509 () (tptp.hAPP @t5508 @t4884)) % 6.41/6.69 (define @t5510 () (tptp.hAPP @t5509 @t5454)) % 6.41/6.69 (define @t5511 () (@var "B_ys_H" $$unsorted)) % 6.41/6.69 (define @t5512 () (tptp.hAPP (tptp.hAPP @t5508 @t5511) @t5057)) % 6.41/6.69 (define @t5513 () (tptp.hAPP @t5189 @t5511)) % 6.41/6.69 (define @t5514 () (@list @t5511)) % 6.41/6.69 (define @t5515 () (= @t4883 @t5439)) % 6.41/6.69 (define @t5516 () (tptp.hAPP @t5508 @t4883)) % 6.41/6.69 (define @t5517 () (tptp.hAPP @t5516 @t5057)) % 6.41/6.69 (define @t5518 () (tptp.hAPP @t5200 @t5439)) % 6.41/6.69 (define @t5519 () (tptp.hAPP @t5516 @t5518)) % 6.41/6.69 (define @t5520 () (tptp.hAPP (tptp.hAPP @t5508 @t5439) @t5043)) % 6.41/6.69 (define @t5521 () (and @t5447 @t5515)) % 6.41/6.69 (define @t5522 () (tptp.hAPP @t5509 @t4883)) % 6.41/6.69 (define @t5523 () (@list @t4883 @t4884 @t8)) % 6.41/6.69 (define @t5524 () (tptp.hAPP @t5508 @t5044)) % 6.41/6.69 (define @t5525 () (tptp.hAPP @t5524 @t5043)) % 6.41/6.69 (define @t5526 () (tptp.c_List_Obutlast @t8 @t5525)) % 6.41/6.69 (define @t5527 () (= @t5043 @t5439)) % 6.41/6.69 (define @t5528 () (not @t5527)) % 6.41/6.69 (define @t5529 () (@list @t5044 @t8 @t5043)) % 6.41/6.69 (define @t5530 () (tptp.hAPP @t553 @t5105)) % 6.41/6.69 (define @t5531 () (@var "V_vs" $$unsorted)) % 6.41/6.69 (define @t5532 () (tptp.hAPP @t5036 @t5043)) % 6.41/6.69 (define @t5533 () (@var "V_us" $$unsorted)) % 6.41/6.69 (define @t5534 () (tptp.c_List_Oappend @t2930)) % 6.41/6.69 (define @t5535 () (tptp.c_List_Oappend @t74)) % 6.41/6.69 (define @t5536 () (tptp.hAPP @t5036 @t5525)) % 6.41/6.69 (define @t5537 () (tptp.hAPP (tptp.hAPP @t5535 @t4884) @t4883)) % 6.41/6.69 (define @t5538 () (tptp.hAPP @t5535 @t4883)) % 6.41/6.69 (define @t5539 () (@list @t5057 @t378 @t4883 @t74 @t4884 @t8)) % 6.41/6.69 (define @t5540 () (tptp.hAPP @t5509 @t5057)) % 6.41/6.69 (define @t5541 () (tptp.hAPP @t5225 @t4883)) % 6.41/6.69 (define @t5542 () (@var "V_xs1" $$unsorted)) % 6.41/6.69 (define @t5543 () (tptp.hAPP @t5508 @t5542)) % 6.41/6.69 (define @t5544 () (tptp.hAPP @t5508 @t5057)) % 6.41/6.69 (define @t5545 () (@list @t5057 @t4883 @t4884 @t8)) % 6.41/6.69 (define @t5546 () (@var "B_us" $$unsorted)) % 6.41/6.69 (define @t5547 () (tptp.hAPP @t5508 @t5546)) % 6.41/6.69 (define @t5548 () (tptp.hAPP (tptp.hAPP @t5508 @t5043) @t5041)) % 6.41/6.69 (define @t5549 () (@list @t5043 @t5044 @t95 @t8)) % 6.41/6.69 (define @t5550 () (tptp.hAPP @t5524 @t5184)) % 6.41/6.69 (define @t5551 () (tptp.hAPP @t5255 @t5525)) % 6.41/6.69 (define @t5552 () (tptp.hAPP @t939 @t5105)) % 6.41/6.69 (define @t5553 () (tptp.hAPP @t5508 @t5314)) % 6.41/6.69 (define @t5554 () (@list @t5043 @t5044 @t336 @t8)) % 6.41/6.69 (define @t5555 () (tptp.c_List_Olist__update @t8 @t5525)) % 6.41/6.69 (define @t5556 () (tptp.hAPP @t5205 @t5043)) % 6.41/6.69 (define @t5557 () (tptp.c_List_Oremove1 @t8 @t73 @t5522)) % 6.41/6.69 (define @t5558 () (@list @t4883 @t4884 @t73 @t8)) % 6.41/6.69 (define @t5559 () (tptp.c_List_Obutlast @t8 @t4883)) % 6.41/6.69 (define @t5560 () (tptp.hAPP @t5524 @t5469)) % 6.41/6.69 (define @t5561 () (@var "V_vs_2" $$unsorted)) % 6.41/6.69 (define @t5562 () (@var "V_us_2" $$unsorted)) % 6.41/6.69 (define @t5563 () (tptp.hAPP @t5509 @t5562)) % 6.41/6.69 (define @t5564 () (tptp.hAPP @t5508 @t73)) % 6.41/6.69 (define @t5565 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP (tptp.hAPP @t5093 (tptp.hAPP @t5564 @t1010)) (tptp.hAPP @t5564 @t240))) @t5242))) % 6.41/6.69 (define @t5566 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP (tptp.hAPP @t5093 @t1010) @t240)) @t5242))) % 6.41/6.69 (define @t5567 () (tptp.hBOOL (tptp.hAPP @t4933 @t4883))) % 6.41/6.69 (define @t5568 () (tptp.hAPP @t5551 @t336)) % 6.41/6.69 (define @t5569 () (not @t5426)) % 6.41/6.69 (define @t5570 () (tptp.hAPP (tptp.hAPP @t5555 @t336) @t95)) % 6.41/6.69 (define @t5571 () (@var "V_l_H_2" $$unsorted)) % 6.41/6.69 (define @t5572 () (tptp.hAPP @t5508 @t5562)) % 6.41/6.69 (define @t5573 () (tptp.hAPP @t5508 @t1010)) % 6.41/6.69 (define @t5574 () (tptp.hAPP @t5180 @t5266)) % 6.41/6.69 (define @t5575 () (tptp.hAPP @t5508 @t5335)) % 6.41/6.69 (define @t5576 () (@list @t5044 @t8 @t592)) % 6.41/6.69 (define @t5577 () (tptp.hAPP @t5189 @t1468)) % 6.41/6.69 (define @t5578 () (@var "B_vs" $$unsorted)) % 6.41/6.69 (define @t5579 () (@list @t5546 @t5578)) % 6.41/6.69 (define @t5580 () (tptp.hAPP (tptp.c_COMBC @t4813 @t4813 @t4813) @t5508)) % 6.41/6.69 (define @t5581 () (tptp.c_COMBB @t4813 @t5227 @t8)) % 6.41/6.69 (define @t5582 () (tptp.c_List_Orotate1 @t8)) % 6.41/6.69 (define @t5583 () (tptp.hAPP @t5582 @t4884)) % 6.41/6.69 (define @t5584 () (tptp.c_List_Odrop @t8)) % 6.41/6.69 (define @t5585 () (tptp.hAPP (tptp.hAPP @t5584 @t674) @t5044)) % 6.41/6.69 (define @t5586 () (tptp.hAPP @t5584 @t336)) % 6.41/6.69 (define @t5587 () (tptp.hAPP @t5586 @t5044)) % 6.41/6.69 (define @t5588 () (tptp.hAPP @t5586 @t5425)) % 6.41/6.69 (define @t5589 () (tptp.c_List_Obutlast @t8 @t5587)) % 6.41/6.69 (define @t5590 () (tptp.hAPP @t5584 @t281)) % 6.41/6.69 (define @t5591 () (tptp.hAPP @t5590 @t4884)) % 6.41/6.69 (define @t5592 () (tptp.hAPP @t4903 @t5591)) % 6.41/6.69 (define @t5593 () (tptp.hAPP @t5582 @t5044)) % 6.41/6.69 (define @t5594 () (tptp.c_List_Odrop @t74)) % 6.41/6.69 (define @t5595 () (tptp.hAPP @t5594 @t281)) % 6.41/6.69 (define @t5596 () (tptp.hAPP @t5584 @t521)) % 6.41/6.69 (define @t5597 () (tptp.hAPP @t5596 @t5044)) % 6.41/6.69 (define @t5598 () (tptp.hAPP (tptp.hAPP @t5584 @t592) @t5044)) % 6.41/6.69 (define @t5599 () (tptp.hAPP @t5584 @t337)) % 6.41/6.69 (define @t5600 () (tptp.hAPP @t5586 @t5188)) % 6.41/6.69 (define @t5601 () (tptp.hAPP @t570 @t592)) % 6.41/6.69 (define @t5602 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 6.41/6.69 (define @t5603 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 6.41/6.69 (define @t5604 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 6.41/6.69 (define @t5605 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 6.41/6.69 (define @t5606 () (tptp.hAPP @t5087 @t5605)) % 6.41/6.69 (define @t5607 () (tptp.hAPP @t5087 @t5604)) % 6.41/6.69 (define @t5608 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t5607) @t5606))) % 6.41/6.69 (define @t5609 () (tptp.hAPP @t5574 @t5585)) % 6.41/6.69 (define @t5610 () (tptp.hAPP @t5187 @t95)) % 6.41/6.69 (define @t5611 () (tptp.hAPP (tptp.hAPP @t5584 @t1355) @t5188)) % 6.41/6.69 (define @t5612 () (tptp.hBOOL (tptp.hAPP @t5185 @t467))) % 6.41/6.69 (define @t5613 () (@list @t5041 @t5043 @t5044 @t74 @t8)) % 6.41/6.69 (define @t5614 () (tptp.hAPP @t5338 @t5044)) % 6.41/6.69 (define @t5615 () (tptp.c_List_Ohd @t8)) % 6.41/6.69 (define @t5616 () (tptp.hAPP @t5615 @t5587)) % 6.41/6.69 (define @t5617 () (@list @t336 @t8 @t5044)) % 6.41/6.69 (define @t5618 () (tptp.hAPP @t5615 @t4884)) % 6.41/6.69 (define @t5619 () (@list @t2 @t74 @t8 @t4884)) % 6.41/6.69 (define @t5620 () (tptp.hAPP @t5615 @t5044)) % 6.41/6.69 (define @t5621 () (tptp.hAPP @t5615 @t5525)) % 6.41/6.69 (define @t5622 () (=> @t5465 (= @t5621 @t5620))) % 6.41/6.69 (define @t5623 () (@list @t5043 @t8 @t5044)) % 6.41/6.69 (define @t5624 () (@list @t8 @t4884)) % 6.41/6.69 (define @t5625 () (tptp.hAPP @t5180 @t5620)) % 6.41/6.69 (define @t5626 () (tptp.c_List_Otl @t8)) % 6.41/6.69 (define @t5627 () (tptp.hAPP @t5626 @t5044)) % 6.41/6.69 (define @t5628 () (tptp.hAPP @t5508 @t5627)) % 6.41/6.69 (define @t5629 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t336 @t5105)) % 6.41/6.69 (define @t5630 () (tptp.c_List_Orotate @t8 @t336)) % 6.41/6.69 (define @t5631 () (tptp.hAPP @t5630 @t5044)) % 6.41/6.69 (define @t5632 () (tptp.hAPP @t5626 @t5587)) % 6.41/6.69 (define @t5633 () (tptp.hAPP @t5586 @t5627)) % 6.41/6.69 (define @t5634 () (tptp.c_List_Orotate @t8 @t281)) % 6.41/6.69 (define @t5635 () (tptp.hAPP @t5634 @t4884)) % 6.41/6.69 (define @t5636 () (tptp.hAPP @t5582 @t5631)) % 6.41/6.69 (define @t5637 () (tptp.hAPP @t5313 @t5627)) % 6.41/6.69 (define @t5638 () (= @t5631 @t5044)) % 6.41/6.69 (define @t5639 () (tptp.c_List_Ofoldl @t8 @t74 @t2 @t13)) % 6.41/6.69 (define @t5640 () (tptp.c_List_Ofoldl @t8 @t8 @t676 @t1082)) % 6.41/6.69 (define @t5641 () (@list @t5057 @t100 @t73 @t8)) % 6.41/6.69 (define @t5642 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t676 @t13) @t4884)) % 6.41/6.69 (define @t5643 () (tptp.hAPP @t5639 @t4884)) % 6.41/6.69 (define @t5644 () (tptp.c_List_Ofoldr @t8 @t8 @t676 @t4884 @t1082)) % 6.41/6.69 (define @t5645 () (@list @t4884 @t13 @t8)) % 6.41/6.69 (define @t5646 () (tptp.c_List_Ofoldl @t74 @t8 (tptp.hAPP @t2909 @t2) @t100)) % 6.41/6.69 (define @t5647 () (tptp.hAPP (tptp.hAPP @t1656 @t100) @t4904)) % 6.41/6.69 (define @t5648 () (@list @t4884 @t100 @t2 @t74 @t8)) % 6.41/6.69 (define @t5649 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t1988 @t73) @t4884)) % 6.41/6.69 (define @t5650 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t2069 @t73) @t4884)) % 6.41/6.69 (define @t5651 () (@list @t2 @t4884 @t74 @t8)) % 6.41/6.69 (define @t5652 () (tptp.tc_fun @t74 @t4866)) % 6.41/6.69 (define @t5653 () (tptp.tc_fun @t4871 @t5652)) % 6.41/6.69 (define @t5654 () (tptp.tc_fun @t8 @t5653)) % 6.41/6.69 (define @t5655 () (tptp.tc_fun @t8 @t5652)) % 6.41/6.69 (define @t5656 () (tptp.hAPP @t5180 @t268)) % 6.41/6.69 (define @t5657 () (tptp.c_List_Olast @t8 @t5044)) % 6.41/6.69 (define @t5658 () (tptp.c_List_Olast @t8 @t5431)) % 6.41/6.69 (define @t5659 () (tptp.c_List_Olast @t8 @t5525)) % 6.41/6.69 (define @t5660 () (=> @t5527 (= @t5659 @t5657))) % 6.41/6.69 (define @t5661 () (=> @t5528 (= @t5659 (tptp.c_List_Olast @t8 @t5043)))) % 6.41/6.69 (define @t5662 () (tptp.c_List_Olast @t8 @t5188)) % 6.41/6.69 (define @t5663 () (=> @t5465 (= @t5662 @t5657))) % 6.41/6.69 (define @t5664 () (=> @t5464 (= @t5662 @t95))) % 6.41/6.69 (define @t5665 () (tptp.c_List_Olast @t8 @t4884)) % 6.41/6.69 (define @t5666 () (@var "B_l" $$unsorted)) % 6.41/6.69 (define @t5667 () (= @t13 @t5439)) % 6.41/6.69 (define @t5668 () (@var "V_xss_2" $$unsorted)) % 6.41/6.69 (define @t5669 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1876 @t4881)) % 6.41/6.69 (define @t5670 () (tptp.hAPP @t5669 @t2057)) % 6.41/6.69 (define @t5671 () (tptp.c_List_Ofilter @t8 @t117)) % 6.41/6.69 (define @t5672 () (tptp.hAPP @t5671 @t4884)) % 6.41/6.69 (define @t5673 () (tptp.hAPP @t5671 @t5190)) % 6.41/6.69 (define @t5674 () (not @t133)) % 6.41/6.69 (define @t5675 () (@list @t4884 @t8 @t73 @t117)) % 6.41/6.69 (define @t5676 () (tptp.c_List_Ofilter @t8 @t116)) % 6.41/6.69 (define @t5677 () (tptp.hAPP @t5676 @t4884)) % 6.41/6.69 (define @t5678 () (@list @t4884 @t117 @t8)) % 6.41/6.69 (define @t5679 () (tptp.hAPP @t5087 @t5672)) % 6.41/6.69 (define @t5680 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_HOL_Obool @t74 @t117) @t2)) % 6.41/6.69 (define @t5681 () (tptp.hAPP (tptp.c_List_Ofilter @t74 @t5680) @t4884)) % 6.41/6.69 (define @t5682 () (tptp.hAPP @t5671 @t4893)) % 6.41/6.69 (define @t5683 () (@list @t4884 @t2 @t74 @t117 @t8)) % 6.41/6.69 (define @t5684 () (tptp.hAPP @t4903 @t5672)) % 6.41/6.69 (define @t5685 () (tptp.hAPP @t5671 @t4883)) % 6.41/6.69 (define @t5686 () (@list @t4883 @t4884 @t117 @t8)) % 6.41/6.69 (define @t5687 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t8 tptp.c_fNot)) % 6.41/6.69 (define @t5688 () (@list @t100 @t4884 @t8)) % 6.41/6.69 (define @t5689 () (tptp.c_List_Osublist @t8 @t4884 @t428)) % 6.41/6.69 (define @t5690 () (@list @t428 @t4884 @t8)) % 6.41/6.69 (define @t5691 () (tptp.c_List_Ofilter @t8 @t3161)) % 6.41/6.69 (define @t5692 () (@list @t4884 @t3161 @t8)) % 6.41/6.69 (define @t5693 () (tptp.c_Fun_Ocomp @t407 @t8 @t74 @t96)) % 6.41/6.69 (define @t5694 () (tptp.c_List_Omap__filter @t74 @t8 @t2 @t4884)) % 6.41/6.69 (define @t5695 () (tptp.hAPP (tptp.hAPP @t5179 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4813 @t4813 tptp.tc_HOL_Obool) tptp.c_fequal) @t5439))) % 6.41/6.69 (define @t5696 () (tptp.c_List_Ofilter @t4813 @t5695)) % 6.41/6.69 (define @t5697 () (tptp.tc_List_Olist @t4813)) % 6.41/6.69 (define @t5698 () (tptp.c_Nat_Osize__class_Osize @t5697)) % 6.41/6.69 (define @t5699 () (tptp.c_List_Otranspose @t8 @t4884)) % 6.41/6.69 (define @t5700 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1876 @t4813) @t2057) @t5087)) % 6.41/6.69 (define @t5701 () (tptp.c_List_Olist_ONil @t4813)) % 6.41/6.69 (define @t5702 () (= (tptp.c_List_Otranspose @t8 @t5701) @t5701)) % 6.41/6.69 (define @t5703 () (= @t3 @t5439)) % 6.41/6.69 (define @t5704 () (tptp.c_List_Oset @t4813)) % 6.41/6.69 (define @t5705 () (tptp.hAPP @t5704 @t4884)) % 6.41/6.69 (define @t5706 () (tptp.hAPP @t5225 @t3)) % 6.41/6.69 (define @t5707 () (tptp.hAPP (tptp.c_List_Omap @t4881 @t4813) @t4891)) % 6.41/6.69 (define @t5708 () (tptp.hAPP @t5707 @t4884)) % 6.41/6.69 (define @t5709 () (@var "V_xss" $$unsorted)) % 6.41/6.69 (define @t5710 () (tptp.c_List_Olist_OCons @t4813)) % 6.41/6.69 (define @t5711 () (tptp.hAPP @t5710 @t5439)) % 6.41/6.69 (define @t5712 () (@var "V_is_2" $$unsorted)) % 6.41/6.69 (define @t5713 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 6.41/6.69 (define @t5714 () (tptp.hAPP (tptp.c_List_Ozip @t8 tptp.tc_Nat_Onat) @t4884)) % 6.41/6.69 (define @t5715 () (tptp.c_Product__Type_Osnd @t8 tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5716 () (tptp.tc_prod @t8 tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5717 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t5716) @t117)) % 6.41/6.69 (define @t5718 () (tptp.hAPP (tptp.c_List_Omap @t5716 @t8) (tptp.c_Product__Type_Ofst @t8 tptp.tc_Nat_Onat))) % 6.41/6.69 (define @t5719 () (tptp.c_List_Ofilter @t4813 (tptp.hAPP (tptp.hAPP @t5130 @t643) @t5087))) % 6.41/6.69 (define @t5720 () (tptp.hAPP @t5719 @t4884)) % 6.41/6.69 (define @t5721 () (tptp.c_List_Omap @t4813 @t8)) % 6.41/6.69 (define @t5722 () (tptp.hAPP @t5721 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4813 tptp.tc_Nat_Onat @t8) @t5255) @t638))) % 6.41/6.69 (define @t5723 () (tptp.c_List_Onth @t4813)) % 6.41/6.69 (define @t5724 () (tptp.hAPP (tptp.hAPP @t5723 @t5699) @t638)) % 6.41/6.69 (define @t5725 () (tptp.hAPP @t5698 @t5699)) % 6.41/6.69 (define @t5726 () (tptp.hBOOL (tptp.hAPP @t643 @t5725))) % 6.41/6.69 (define @t5727 () (@list @t4884 @t8 @t638)) % 6.41/6.69 (define @t5728 () (tptp.tc_fun @t407 @t407)) % 6.41/6.69 (define @t5729 () (tptp.c_List_Ofilter @t74 @t117)) % 6.41/6.69 (define @t5730 () (tptp.hAPP @t5729 @t4884)) % 6.41/6.69 (define @t5731 () (tptp.hAPP @t4891 @t5730)) % 6.41/6.69 (define @t5732 () (tptp.c_List_Oremove1 @t8 @t13 @t4884)) % 6.41/6.69 (define @t5733 () (tptp.c_List_Olinorder__class_Osorted @t74 @t4887)) % 6.41/6.69 (define @t5734 () (tptp.c_List_Oupt @t1074 @t5092)) % 6.41/6.69 (define @t5735 () (tptp.hAPP @t5714 @t5734)) % 6.41/6.69 (define @t5736 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4587 @t5716) @t2339)) % 6.41/6.69 (define @t5737 () (tptp.c_COMBC @t5716 @t1900 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t5738 () (tptp.c_List_Ofilter @t5716 (tptp.hAPP (tptp.hAPP @t5737 (tptp.hAPP @t5736 @t5715)) @t51))) % 6.41/6.69 (define @t5739 () (tptp.hAPP @t1 @t4884)) % 6.41/6.69 (define @t5740 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4893)) % 6.41/6.69 (define @t5741 () (tptp.c_List_Olinorder__class_Osorted @t8 @t5044)) % 6.41/6.69 (define @t5742 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5743 () (tptp.c_List_Oupt @t592 @t562)) % 6.41/6.69 (define @t5744 () (= @t5743 @t5742)) % 6.41/6.69 (define @t5745 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5746 () (=> @t604 (= @t5743 (tptp.hAPP (tptp.hAPP @t5745 @t592) (tptp.c_List_Oupt @t674 @t562))))) % 6.41/6.69 (define @t5747 () (tptp.hAPP @t5200 @t5057)) % 6.41/6.69 (define @t5748 () (tptp.hAPP @t5205 @t5041)) % 6.41/6.69 (define @t5749 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4884)) % 6.41/6.69 (define @t5750 () (tptp.c_List_Oupt @t378 @t281)) % 6.41/6.69 (define @t5751 () (@list @t4884 @t73 @t2 @t74 @t8)) % 6.41/6.69 (define @t5752 () (@list @t73 @t4884 @t2 @t74 @t8)) % 6.41/6.69 (define @t5753 () (=> (= @t4904 @t4912) @t4885)) % 6.41/6.69 (define @t5754 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4883)) % 6.41/6.69 (define @t5755 () (tptp.c_List_Oupt @t638 @t637)) % 6.41/6.69 (define @t5756 () (tptp.c_List_Oappend tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5757 () (tptp.hAPP @t5756 @t5743)) % 6.41/6.69 (define @t5758 () (tptp.c_List_Oupt @t592 @t1001)) % 6.41/6.69 (define @t5759 () (=> @t863 (= @t5758 (tptp.hAPP @t5757 (tptp.hAPP (tptp.hAPP @t5745 @t562) @t5742))))) % 6.41/6.69 (define @t5760 () (tptp.hAPP @t5380 @t5755)) % 6.41/6.69 (define @t5761 () (forall @t7 (=> @t5272 @t2045))) % 6.41/6.69 (define @t5762 () (tptp.c_List_Olinorder__class_Osorted @t8 @t5190)) % 6.41/6.69 (define @t5763 () (tptp.hBOOL (tptp.hAPP @t2047 @t2327))) % 6.41/6.69 (define @t5764 () (tptp.hAPP @t1354 @t336)) % 6.41/6.69 (define @t5765 () (tptp.hAPP @t1354 @t521)) % 6.41/6.69 (define @t5766 () (tptp.c_List_Oupt @t5765 @t5764)) % 6.41/6.69 (define @t5767 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t5765) @t5764))) % 6.41/6.69 (define @t5768 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t8)) % 6.41/6.69 (define @t5769 () (tptp.c_List_Oupt @t1074 @t281)) % 6.41/6.69 (define @t5770 () (tptp.hAPP (tptp.hAPP @t5768 @t2) @t5750)) % 6.41/6.69 (define @t5771 () (tptp.hAPP @t5377 @t5770)) % 6.41/6.69 (define @t5772 () (tptp.hAPP @t3752 (tptp.hAPP @t5380 @t5750))) % 6.41/6.69 (define @t5773 () (tptp.hBOOL (tptp.hAPP @t1335 @t1236))) % 6.41/6.69 (define @t5774 () (tptp.hBOOL (tptp.hAPP @t564 @t5105))) % 6.41/6.69 (define @t5775 () (@list @t562 @t592 @t5044 @t8)) % 6.41/6.69 (define @t5776 () (tptp.hAPP @t5698 @t4884)) % 6.41/6.69 (define @t5777 () (tptp.hAPP @t5723 @t4884)) % 6.41/6.69 (define @t5778 () (= @t4884 @t5701)) % 6.41/6.69 (define @t5779 () (tptp.hAPP @t5711 @t5668)) % 6.41/6.69 (define @t5780 () (tptp.c_Wellfounded_Oaccp @t5697 (tptp.c_List_Otranspose__rel @t8))) % 6.41/6.69 (define @t5781 () (@list @t5668 @t8)) % 6.41/6.69 (define @t5782 () (tptp.hAPP @t5777 @t638)) % 6.41/6.69 (define @t5783 () (tptp.hAPP @t5719 @t5699)) % 6.41/6.69 (define @t5784 () (tptp.hBOOL (tptp.hAPP @t643 @t5776))) % 6.41/6.69 (define @t5785 () (tptp.hAPP (tptp.c_List_Omap @t4813 tptp.tc_Nat_Onat) @t5087)) % 6.41/6.69 (define @t5786 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5787 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5786 (tptp.hAPP @t5785 @t4884)))) % 6.41/6.69 (define @t5788 () (@list @t638 @t4884 @t8)) % 6.41/6.69 (define @t5789 () (tptp.hAPP @t5696 @t5668)) % 6.41/6.69 (define @t5790 () (tptp.c_List_Omap @t4813 @t4813)) % 6.41/6.69 (define @t5791 () (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5790 (tptp.c_List_Olist_Olist__case @t4813 @t8 @t5439 (tptp.hAPP (tptp.hAPP @t5581 (tptp.c_COMBK @t4813 @t4813)) @t5487))) @t5668))) % 6.41/6.69 (define @t5792 () (tptp.c_List_Orev @t8)) % 6.41/6.69 (define @t5793 () (tptp.hAPP @t5792 @t4884)) % 6.41/6.69 (define @t5794 () (tptp.c_List_Oconcat @t8 @t5668)) % 6.41/6.69 (define @t5795 () (= @t4884 @t5454)) % 6.41/6.69 (define @t5796 () (tptp.c_List_Oconcat @t8 @t4884)) % 6.41/6.69 (define @t5797 () (tptp.c_List_Orev @t74)) % 6.41/6.69 (define @t5798 () (tptp.hAPP @t5797 @t4884)) % 6.41/6.69 (define @t5799 () (tptp.hAPP @t5792 @t4893)) % 6.41/6.69 (define @t5800 () (tptp.c_List_Oconcat @t8 @t5044)) % 6.41/6.69 (define @t5801 () (tptp.c_List_Oappend @t4813)) % 6.41/6.69 (define @t5802 () (tptp.hAPP @t5792 @t5044)) % 6.41/6.69 (define @t5803 () (tptp.hAPP @t5792 @t4883)) % 6.41/6.69 (define @t5804 () (tptp.c_List_Orev @t2930)) % 6.41/6.69 (define @t5805 () (tptp.hAPP @t5704 @t5668)) % 6.41/6.69 (define @t5806 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5706 @t5805)) @t5703))) % 6.41/6.69 (define @t5807 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4813 @t55)) % 6.41/6.69 (define @t5808 () (tptp.hAPP @t5427 @t592)) % 6.41/6.69 (define @t5809 () (@list @t5044 @t592 @t8)) % 6.41/6.69 (define @t5810 () (tptp.tc_fun @t4813 @t5697)) % 6.41/6.69 (define @t5811 () (tptp.c_List_Omap @t4813 @t5697)) % 6.41/6.69 (define @t5812 () (tptp.c_List_Oconcat @t4813 (tptp.hAPP (tptp.hAPP @t5811 (tptp.c_List_Olist_Olist__case @t5697 @t8 @t5701 (tptp.hAPP (tptp.c_COMBK @t5810 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4813 @t5697 @t5697) @t5710) @t5701)))) @t5668))) % 6.41/6.69 (define @t5813 () (tptp.hAPP (tptp.hAPP @t5710 @t5190) @t5668)) % 6.41/6.69 (define @t5814 () (= (tptp.c_List_Otranspose @t8 @t5813) (tptp.hAPP (tptp.hAPP @t5710 (tptp.hAPP @t5189 @t5791)) (tptp.c_List_Otranspose @t8 (tptp.hAPP (tptp.hAPP @t5710 @t4884) @t5812))))) % 6.41/6.69 (define @t5815 () (@list @t5668 @t4884 @t73 @t8)) % 6.41/6.69 (define @t5816 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 @t3) (tptp.hAPP (tptp.c_List_Oset @t4818) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4813 @t4813) @t4884) @t4883)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5143 @t5134) @t3))))) % 6.41/6.69 (define @t5817 () (= @t5776 (tptp.hAPP @t5698 @t4883))) % 6.41/6.69 (define @t5818 () (= @t5796 (tptp.c_List_Oconcat @t8 @t4883))) % 6.41/6.69 (define @t5819 () (tptp.c_List_Omap @t74 @t4813)) % 6.41/6.69 (define @t5820 () (tptp.c_List_Ofoldr @t8 @t8 @t2069 @t4884 @t100)) % 6.41/6.69 (define @t5821 () (tptp.c_List_OtakeWhile @t8 @t117 @t4884)) % 6.41/6.69 (define @t5822 () (@list @t4883 @t4884 @t117 @t74 @t8)) % 6.41/6.69 (define @t5823 () (tptp.hAPP @t5087 @t5821)) % 6.41/6.69 (define @t5824 () (tptp.c_List_OtakeWhile @t8 @t117 @t5190)) % 6.41/6.69 (define @t5825 () (tptp.c_List_OtakeWhile @t8 @t117 @t5522)) % 6.41/6.69 (define @t5826 () (@list @t4883 @t117 @t4884 @t73 @t8)) % 6.41/6.69 (define @t5827 () (@list @t4884 @t117 @t8 @t637)) % 6.41/6.69 (define @t5828 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 tptp.tc_HOL_Obool @t74) (tptp.hAPP @t476 @t33)) @t2)) % 6.41/6.69 (define @t5829 () (tptp.c_List_Oremdups @t8 @t5044)) % 6.41/6.69 (define @t5830 () (tptp.c_List_Oremdups @t8 @t4884)) % 6.41/6.69 (define @t5831 () (= @t73 @t5439)) % 6.41/6.69 (define @t5832 () (tptp.c_List_Oremdups @t8 @t73)) % 6.41/6.69 (define @t5833 () (= @t5830 @t4884)) % 6.41/6.69 (define @t5834 () (tptp.hAPP @t5087 @t5830)) % 6.41/6.69 (define @t5835 () (tptp.c_List_Oremdups @t8 @t5190)) % 6.41/6.69 (define @t5836 () (tptp.hAPP @t4614 @t5403)) % 6.41/6.69 (define @t5837 () (tptp.c_List_OdropWhile @t8 @t117 @t4884)) % 6.41/6.69 (define @t5838 () (tptp.hAPP @t5087 @t5837)) % 6.41/6.69 (define @t5839 () (tptp.c_List_OdropWhile @t8 @t117 @t5190)) % 6.41/6.69 (define @t5840 () (= @t5837 @t5439)) % 6.41/6.69 (define @t5841 () (tptp.hAPP @t5508 @t5821)) % 6.41/6.69 (define @t5842 () (tptp.c_List_OdropWhile @t8 @t117 @t5522)) % 6.41/6.69 (define @t5843 () (tptp.c_Enum_On__lists @t8 @t281 @t4884)) % 6.41/6.69 (define @t5844 () (tptp.c_Enum_Osublists @t8 @t4884)) % 6.41/6.69 (define @t5845 () (tptp.c_Enum_On__lists @t8 @t336 @t5044)) % 6.41/6.69 (define @t5846 () (tptp.c_List_Odistinct @t4813)) % 6.41/6.69 (define @t5847 () (tptp.hAPP @t5704 @t5843)) % 6.41/6.69 (define @t5848 () (tptp.hAPP @t5711 @t5701)) % 6.41/6.69 (define @t5849 () (tptp.c_Enum_On__lists @t8 @t336 @t5439)) % 6.41/6.69 (define @t5850 () (tptp.c_Enum_Oproduct @t8 @t74 @t4884 @t4883)) % 6.41/6.69 (define @t5851 () (@var "V_uu" $$unsorted)) % 6.41/6.69 (define @t5852 () (tptp.c_Enum_Oenum__class_Oenum @t74)) % 6.41/6.69 (define @t5853 () (tptp.hAPP @t5052 @t5852)) % 6.41/6.69 (define @t5854 () (tptp.hAPP @t5085 @t5852)) % 6.41/6.69 (define @t5855 () (tptp.class_Enum_Oenum @t8)) % 6.41/6.69 (define @t5856 () (tptp.class_Enum_Oenum @t74)) % 6.41/6.69 (define @t5857 () (and @t5856 @t5855)) % 6.41/6.69 (define @t5858 () (tptp.c_List_Olinorder__class_Osort__key @t8 @t8 @t1505 @t4884)) % 6.41/6.69 (define @t5859 () (tptp.c_Enum_Oenum__class_Oenum @t8)) % 6.41/6.69 (define @t5860 () (and @t5855 @t5856)) % 6.41/6.69 (define @t5861 () (tptp.c_List_Olinorder__class_Osort__key @t8 @t74 @t2 @t4884)) % 6.41/6.69 (define @t5862 () (tptp.hAPP @t4903 @t5859)) % 6.41/6.69 (define @t5863 () (tptp.hAPP @t5087 @t5859)) % 6.41/6.69 (define @t5864 () (tptp.hAPP @t5036 @t5859)) % 6.41/6.69 (define @t5865 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4866 @t819 @t4881) (tptp.c_Fun_Ocomp @t418 @t74 @t8 @t4900)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5115 @t4866 @t4881) @t4860) @t5864))) % 6.41/6.69 (define @t5866 () (= (tptp.c_Enum_Oenum__class_Oenum @t819) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4881 @t819) @t5865) (tptp.c_Enum_On__lists @t74 @t5863 @t5852)))) % 6.41/6.69 (define @t5867 () (tptp.class_HOL_Oequal @t8)) % 6.41/6.69 (define @t5868 () (tptp.hBOOL (tptp.hAPP @t5706 (tptp.hAPP @t5704 (tptp.c_Enum_On__lists @t8 @t281 @t5859))))) % 6.41/6.69 (define @t5869 () (@list @t281 @t117 @t8)) % 6.41/6.69 (define @t5870 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t819 tptp.tc_HOL_Obool @t4881) @t117) @t5865)) % 6.41/6.69 (define @t5871 () (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t819) @t117)) (tptp.c_Enum_Oall__n__lists @t74 @t5870 @t5863))) % 6.41/6.69 (define @t5872 () (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t819) @t117)) (tptp.c_Enum_Oex__n__lists @t74 @t5870 @t5863))) % 6.41/6.69 (define @t5873 () (tptp.c_Enum_Oenum__class_Oenum__all @t8)) % 6.41/6.69 (define @t5874 () (tptp.c_Enum_Oenum__class_Oenum__ex @t8)) % 6.41/6.69 (define @t5875 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t407 tptp.tc_HOL_Obool @t8) @t117) @t87)) % 6.41/6.69 (define @t5876 () (tptp.hBOOL (tptp.hAPP @t117 @t149))) % 6.41/6.69 (define @t5877 () (tptp.hBOOL (tptp.hAPP @t5873 @t117))) % 6.41/6.69 (define @t5878 () (tptp.hBOOL (tptp.hAPP @t5874 @t117))) % 6.41/6.69 (define @t5879 () (tptp.c_COMBS @t8 @t74 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t5880 () (and (tptp.class_Orderings_Oorder @t74) @t5855)) % 6.41/6.69 (define @t5881 () (and @t5856 @t5855 @t5867)) % 6.41/6.69 (define @t5882 () (tptp.hBOOL (tptp.hAPP @t117 @t5275))) % 6.41/6.69 (define @t5883 () (@list @t117 @t4884 @t8 @t281)) % 6.41/6.69 (define @t5884 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4877)) % 6.41/6.69 (define @t5885 () (tptp.c_List_Olistsp @t8 (tptp.hAPP (tptp.hAPP @t3864 @t3580) @t3985))) % 6.41/6.69 (define @t5886 () (tptp.hAPP @t5225 @t1468)) % 6.41/6.69 (define @t5887 () (tptp.c_List_Olistsp @t8 @t51)) % 6.41/6.69 (define @t5888 () (tptp.hBOOL (tptp.hAPP @t5887 @t4884))) % 6.41/6.69 (define @t5889 () (tptp.c_List_Olistsp @t8 @t289)) % 6.41/6.69 (define @t5890 () (tptp.c_List_Olistsp @t8 @t3866)) % 6.41/6.69 (define @t5891 () (tptp.hBOOL (tptp.hAPP @t4431 @t3))) % 6.41/6.69 (define @t5892 () (tptp.hAPP @t2936 @t3)) % 6.41/6.69 (define @t5893 () (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t4884 @t4883)) % 6.41/6.69 (define @t5894 () (tptp.hAPP @t5797 @t4883)) % 6.41/6.69 (define @t5895 () (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t13 @t58)) % 6.41/6.69 (define @t5896 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t117 (tptp.hAPP @t5256 @t3161)) (tptp.hAPP @t5254 @t3161)))) % 6.41/6.69 (define @t5897 () (tptp.hAPP @t472 @t3161)) % 6.41/6.69 (define @t5898 () (@list @t3161 @t4883 @t4884 @t117 @t74 @t8)) % 6.41/6.69 (define @t5899 () (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t5342 @t5360)) % 6.41/6.69 (define @t5900 () (tptp.hAPP @t5087 @t13)) % 6.41/6.69 (define @t5901 () (= @t5900 (tptp.hAPP @t5085 @t58))) % 6.41/6.69 (define @t5902 () (tptp.c_List_OremoveAll @t8 @t73)) % 6.41/6.69 (define @t5903 () (tptp.hAPP @t5902 @t4884)) % 6.41/6.69 (define @t5904 () (= (tptp.hAPP @t4880 @t5903) (tptp.hAPP (tptp.c_List_OremoveAll @t74 @t115) @t4887))) % 6.41/6.69 (define @t5905 () (tptp.c_List_Oinsert @t8 @t73 @t4884)) % 6.41/6.69 (define @t5906 () (=> @t5040 (= @t5905 @t5190))) % 6.41/6.69 (define @t5907 () (tptp.c_List_OremoveAll @t8 @t95)) % 6.41/6.69 (define @t5908 () (tptp.hAPP @t5907 @t5044)) % 6.41/6.69 (define @t5909 () (tptp.hAPP @t5907 @t5206)) % 6.41/6.69 (define @t5910 () (tptp.c_List_Oinsert @t8 @t95 @t5044)) % 6.41/6.69 (define @t5911 () (=> @t5039 (= @t5905 @t4884))) % 6.41/6.69 (define @t5912 () (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5819 @t2) @t4884))) % 6.41/6.69 (define @t5913 () (tptp.c_List_Omaps @t74 @t8 @t2 @t4884)) % 6.41/6.69 (define @t5914 () (@var "B_zs" $$unsorted)) % 6.41/6.69 (define @t5915 () (tptp.hAPP @t4903 @t5914)) % 6.41/6.69 (define @t5916 () (tptp.hAPP @t4903 @t5236)) % 6.41/6.69 (define @t5917 () (@list @t5914)) % 6.41/6.69 (define @t5918 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5225 @t5236) @t5705))) % 6.41/6.69 (define @t5919 () (@list @t5236)) % 6.41/6.69 (define @t5920 () (@var "V_fs_2" $$unsorted)) % 6.41/6.69 (define @t5921 () (tptp.tc_fun @t8 tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t5922 () (tptp.hBOOL (tptp.hAPP @t3246 (tptp.c_List_Omeasures @t8 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5921) @t2) @t5920))))) % 6.41/6.69 (define @t5923 () (tptp.c_List_Omeasures @t8 @t5920)) % 6.41/6.69 (define @t5924 () (tptp.hBOOL (tptp.hAPP @t3246 @t5923))) % 6.41/6.69 (define @t5925 () (@list @t5920 @t8 @t100 @t73 @t2)) % 6.41/6.69 (define @t5926 () (@list @t5920 @t8)) % 6.41/6.69 (define @t5927 () (tptp.tc_List_Olist @t5921)) % 6.41/6.69 (define @t5928 () (tptp.hAPP (tptp.hAPP @t5325 @t5252) @t4883)) % 6.41/6.69 (define @t5929 () (tptp.hAPP (tptp.hAPP @t5300 @t5252) @t4884)) % 6.41/6.69 (define @t5930 () (tptp.hAPP @t4903 @t4934)) % 6.41/6.69 (define @t5931 () (tptp.hAPP @t2917 @t1236)) % 6.41/6.69 (define @t5932 () (tptp.hAPP @t2917 @t1332)) % 6.41/6.69 (define @t5933 () (@list @t4883 @t117 @t4884 @t8)) % 6.41/6.69 (define @t5934 () (tptp.hAPP @t3107 @t261)) % 6.41/6.69 (define @t5935 () (exists @t5579 (and (= @t4883 (tptp.hAPP @t5547 (tptp.hAPP @t5189 @t5578))) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 (tptp.hAPP @t4903 @t5546))) @t4626)) @t133 (= @t4884 (tptp.hAPP @t5671 @t5578))))) % 6.41/6.69 (define @t5936 () (tptp.hAPP @t3085 @t43)) % 6.41/6.69 (define @t5937 () (tptp.c_Wellfounded_Oacc @t8 @t201)) % 6.41/6.69 (define @t5938 () (tptp.hAPP @t3085 @t4119)) % 6.41/6.69 (define @t5939 () (@list @t201 @t73 @t8)) % 6.41/6.69 (define @t5940 () (@list @t18 @t58 @t51 @t8)) % 6.41/6.69 (define @t5941 () (tptp.hBOOL (tptp.hAPP @t4333 @t4400))) % 6.41/6.69 (define @t5942 () (tptp.hBOOL (tptp.hAPP @t4401 @t721))) % 6.41/6.69 (define @t5943 () (tptp.hBOOL (tptp.hAPP @t117 @t5296))) % 6.41/6.69 (define @t5944 () (tptp.c_List_Olist__ex @t8 @t117 @t4884)) % 6.41/6.69 (define @t5945 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t74 @t210 @t3169 @t8) @t2) @t1) @t73)) % 6.41/6.69 (define @t5946 () (@list @t73 @t1 @t2 @t8 @t3169 @t210 @t74)) % 6.41/6.69 (define @t5947 () (tptp.tc_fun @t4962 @t74)) % 6.41/6.69 (define @t5948 () (tptp.tc_fun @t210 @t5075)) % 6.41/6.69 (define @t5949 () (tptp.hAPP (tptp.c_Random_Oiterate @t74 @t8 @t205 @t2) @t73)) % 6.41/6.69 (define @t5950 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.41/6.69 (define @t5951 () (tptp.c_Random_Olog @t39 @t592)) % 6.41/6.69 (define @t5952 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 6.41/6.69 (define @t5953 () (tptp.hAPP @t5952 @t592)) % 6.41/6.69 (define @t5954 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 6.41/6.69 (define @t5955 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5954 @t39) @t2841)) (tptp.hBOOL (tptp.hAPP @t5953 @t39)))) % 6.41/6.69 (define @t5956 () (tptp.c_Random_Ominus__shift @t1232 @t561 @t556)) % 6.41/6.69 (define @t5957 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5952 @t561) @t556))) % 6.41/6.69 (define @t5958 () (tptp.c_Random_Oinc__shift @t1079 @t561)) % 6.41/6.69 (define @t5959 () (= @t1079 @t561)) % 6.41/6.69 (define @t5960 () (tptp.c_Random_Oselect @t8 @t4884)) % 6.41/6.69 (define @t5961 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 6.41/6.69 (define @t5962 () (tptp.c_Product__Type_Ofst @t8 @t5961)) % 6.41/6.69 (define @t5963 () (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 6.41/6.69 (define @t5964 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 6.41/6.69 (define @t5965 () (tptp.hAPP @t4903 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5964 @t8) @t5963) @t4884))) % 6.41/6.69 (define @t5966 () (tptp.c_Random_Oselect__weight @t8 @t4884)) % 6.41/6.69 (define @t5967 () (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 6.41/6.69 (define @t5968 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5964 tptp.tc_Code__Numeral_Ocode__numeral) @t5967) @t4884))) % 6.41/6.69 (define @t5969 () (tptp.hAPP @t5952 @t2833)) % 6.41/6.69 (define @t5970 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 6.41/6.69 (define @t5971 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 @t5964) (tptp.hAPP @t5970 @t2841)) @t4884)) % 6.41/6.69 (define @t5972 () (tptp.c_List_Olist_OCons @t5964)) % 6.41/6.69 (define @t5973 () (tptp.hAPP (tptp.c_List_Ofilter @t5964 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral @t8 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t55 tptp.tc_Code__Numeral_Ocode__numeral) @t4621) @t5969))) @t4884)) % 6.41/6.69 (define @t5974 () (tptp.c_Random_Opick @t8 @t4884)) % 6.41/6.69 (define @t5975 () (tptp.hAPP @t5967 @t95)) % 6.41/6.69 (define @t5976 () (tptp.hAPP (tptp.c_Random_Opick @t8 (tptp.hAPP (tptp.hAPP @t5972 @t95) @t5044)) @t592)) % 6.41/6.69 (define @t5977 () (tptp.hBOOL (tptp.hAPP @t5953 @t5975))) % 6.41/6.69 (define @t5978 () (tptp.tc_prod @t8 @t5961)) % 6.41/6.69 (define @t5979 () (tptp.hAPP (tptp.c_COMBB @t8 (tptp.tc_fun @t5961 @t5978) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t8 @t5961))) % 6.41/6.69 (define @t5980 () (tptp.c_Product__Type_Oscomp @t5961 tptp.tc_Code__Numeral_Ocode__numeral @t5961 @t5978)) % 6.41/6.69 (define @t5981 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t100)) % 6.41/6.69 (define @t5982 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2339 @t100) @t4203))) % 6.41/6.69 (define @t5983 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1074)) % 6.41/6.69 (define @t5984 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t521)) % 6.41/6.69 (define @t5985 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t336)) % 6.41/6.69 (define @t5986 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 6.41/6.69 (define @t5987 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t378)) % 6.41/6.69 (define @t5988 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t281)) % 6.41/6.69 (define @t5989 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t561)) % 6.41/6.69 (define @t5990 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t521)) % 6.41/6.69 (define @t5991 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t336)) % 6.41/6.69 (define @t5992 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t378)) % 6.41/6.69 (define @t5993 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t281)) % 6.41/6.69 (define @t5994 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t73)) % 6.41/6.69 (define @t5995 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t592)) % 6.41/6.69 (define @t5996 () (tptp.hAPP (tptp.hAPP @t2842 @t336) @t521)) % 6.41/6.69 (define @t5997 () (@var "V_xq_2" $$unsorted)) % 6.41/6.69 (define @t5998 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 6.41/6.69 (define @t5999 () (tptp.hAPP @t3440 (tptp.hAPP @t3702 @t281))) % 6.41/6.69 (define @t6000 () (tptp.c_Transitive__Closure_Otrancl @t8 @t2917)) % 6.41/6.69 (define @t6001 () (forall @t7 (not (tptp.hBOOL (tptp.hAPP @t3089 @t6000))))) % 6.41/6.69 (define @t6002 () (tptp.hBOOL (tptp.hAPP @t3832 @t6000))) % 6.41/6.69 (define @t6003 () (tptp.hAPP @t3069 @t6000)) % 6.41/6.69 (define @t6004 () (tptp.hAPP @t3088 @t3161)) % 6.41/6.69 (define @t6005 () (tptp.hBOOL (tptp.hAPP @t6004 @t6000))) % 6.41/6.69 (define @t6006 () (tptp.hBOOL (tptp.hAPP @t6004 @t2917))) % 6.41/6.69 (define @t6007 () (@list @t2917 @t3161 @t8)) % 6.41/6.69 (define @t6008 () (tptp.c_Transitive__Closure_Otrancl @t8 @t201)) % 6.41/6.69 (define @t6009 () (tptp.hAPP @t3088 (tptp.hAPP @t3287 @t18))) % 6.41/6.69 (define @t6010 () (tptp.hAPP @t3085 @t58)) % 6.41/6.69 (define @t6011 () (tptp.hAPP @t3088 (tptp.hAPP @t6010 @t18))) % 6.41/6.69 (define @t6012 () (tptp.hBOOL (tptp.hAPP @t6009 @t6000))) % 6.41/6.69 (define @t6013 () (=> (tptp.hBOOL (tptp.hAPP @t6011 @t6000)) @t6012)) % 6.41/6.69 (define @t6014 () (@list @t18 @t2917 @t58 @t13 @t8)) % 6.41/6.69 (define @t6015 () (tptp.hBOOL (tptp.hAPP @t6011 @t2917))) % 6.41/6.69 (define @t6016 () (=> @t6015 @t6012)) % 6.41/6.69 (define @t6017 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t2917)) % 6.41/6.69 (define @t6018 () (tptp.hAPP @t3600 @t6000)) % 6.41/6.69 (define @t6019 () (tptp.hAPP @t3998 @t73)) % 6.41/6.69 (define @t6020 () (tptp.hAPP (tptp.hAPP @t3594 @t6019) @t2917)) % 6.41/6.69 (define @t6021 () (@list @t2917 @t73 @t100 @t8)) % 6.41/6.69 (define @t6022 () (tptp.c_Relation_OId @t8)) % 6.41/6.69 (define @t6023 () (tptp.hAPP @t3601 @t6022)) % 6.41/6.69 (define @t6024 () (tptp.hBOOL (tptp.hAPP @t3832 @t6017))) % 6.41/6.69 (define @t6025 () (tptp.c_List_Olistrel @t8 @t6017)) % 6.41/6.69 (define @t6026 () (tptp.hAPP (tptp.hAPP @t4755 @t6017) @t2917)) % 6.41/6.69 (define @t6027 () (tptp.hAPP (tptp.hAPP @t4755 @t2917) @t6017)) % 6.41/6.69 (define @t6028 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t201)) % 6.41/6.69 (define @t6029 () (tptp.hAPP @t3088 (tptp.hAPP @t3245 @t261))) % 6.41/6.69 (define @t6030 () (tptp.hBOOL (tptp.hAPP @t3246 @t6017))) % 6.41/6.69 (define @t6031 () (tptp.hBOOL (tptp.hAPP @t6011 @t6017))) % 6.41/6.69 (define @t6032 () (=> @t6031 @t6012)) % 6.41/6.69 (define @t6033 () (tptp.hBOOL (tptp.hAPP @t3246 @t6008))) % 6.41/6.69 (define @t6034 () (tptp.hBOOL (tptp.hAPP @t3246 @t6028))) % 6.41/6.69 (define @t6035 () (@list @t201 @t100 @t73 @t8)) % 6.41/6.69 (define @t6036 () (tptp.hBOOL (tptp.hAPP @t6009 @t6017))) % 6.41/6.69 (define @t6037 () (=> @t6031 @t6036)) % 6.41/6.69 (define @t6038 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t428)) % 6.41/6.69 (define @t6039 () (tptp.hAPP @t3069 @t6017)) % 6.41/6.69 (define @t6040 () (tptp.hBOOL (tptp.hAPP @t6039 @t6038))) % 6.41/6.69 (define @t6041 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t1791)) % 6.41/6.69 (define @t6042 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t4795)) % 6.41/6.69 (define @t6043 () (tptp.hAPP @t3600 @t6028)) % 6.41/6.69 (define @t6044 () (tptp.hAPP @t6043 @t6041)) % 6.41/6.69 (define @t6045 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3068) @t2917) @t6022)) % 6.41/6.69 (define @t6046 () (tptp.hAPP @t3088 @t73)) % 6.41/6.69 (define @t6047 () (tptp.c_Transitive__Closure_Ortrancl @t4813 @t5365)) % 6.41/6.69 (define @t6048 () (tptp.hBOOL (tptp.hAPP @t5096 @t6025))) % 6.41/6.69 (define @t6049 () (tptp.hBOOL (tptp.hAPP @t5096 @t6047))) % 6.41/6.69 (define @t6050 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t6010 @t13)) @t6017))) % 6.41/6.69 (define @t6051 () (not @t6030)) % 6.41/6.69 (define @t6052 () (tptp.hAPP @t3088 (tptp.hAPP @t3245 @t73))) % 6.41/6.69 (define @t6053 () (tptp.c_Relation_Oconverse @t8 @t8)) % 6.41/6.69 (define @t6054 () (tptp.hAPP @t6053 @t2917)) % 6.41/6.69 (define @t6055 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t6054)) % 6.41/6.69 (define @t6056 () (tptp.hBOOL (tptp.hAPP @t3246 @t6055))) % 6.41/6.69 (define @t6057 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 @t6019) @t6017))) % 6.41/6.69 (define @t6058 () (tptp.hAPP (tptp.c_Relation_Oconverse @t4813 @t4813) @t5365)) % 6.41/6.69 (define @t6059 () (tptp.c_List_Olistrel1 @t8 @t6054)) % 6.41/6.69 (define @t6060 () (tptp.hAPP @t3686 (tptp.hAPP (tptp.hAPP @t3251 @t58) @t13))) % 6.41/6.69 (define @t6061 () (tptp.hBOOL (tptp.hAPP @t6060 @t2917))) % 6.41/6.69 (define @t6062 () (tptp.c_Relation_Oconverse @t74 @t8)) % 6.41/6.69 (define @t6063 () (tptp.hAPP @t6062 @t2917)) % 6.41/6.69 (define @t6064 () (tptp.hBOOL (tptp.hAPP @t3110 @t6063))) % 6.41/6.69 (define @t6065 () (tptp.hAPP (tptp.c_Relation_Oconverse @t8 @t74) @t2917)) % 6.41/6.69 (define @t6066 () (tptp.hAPP @t6062 @t428)) % 6.41/6.69 (define @t6067 () (@list @t428 @t2917 @t8 @t74)) % 6.41/6.69 (define @t6068 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3675 @t2931 @t210) @t6062) @t2917)) % 6.41/6.69 (define @t6069 () (@list @t2917 @t1791 @t210 @t8 @t74)) % 6.41/6.69 (define @t6070 () (tptp.hAPP @t4780 @t6063)) % 6.41/6.69 (define @t6071 () (tptp.hAPP (tptp.hAPP @t4755 @t6054) @t2917)) % 6.41/6.69 (define @t6072 () (= @t6071 @t2917)) % 6.41/6.69 (define @t6073 () (tptp.c_Transitive__Closure_Otrancl @t8 @t6054)) % 6.41/6.69 (define @t6074 () (tptp.hBOOL (tptp.hAPP @t3246 @t6073))) % 6.41/6.69 (define @t6075 () (tptp.hAPP @t6053 @t6000)) % 6.41/6.69 (define @t6076 () (tptp.hBOOL (tptp.hAPP @t3246 @t6075))) % 6.41/6.69 (define @t6077 () (tptp.c_Wellfounded_Owf @t8 @t6054)) % 6.41/6.69 (define @t6078 () (tptp.tc_fun @t74 @t4654)) % 6.41/6.69 (define @t6079 () (tptp.c_Relation_Ototal__on @t8 @t51 @t2917)) % 6.41/6.69 (define @t6080 () (tptp.c_Relation_Osingle__valued @t8 @t74 @t2917)) % 6.41/6.69 (define @t6081 () (tptp.hAPP @t4546 @t4119)) % 6.41/6.69 (define @t6082 () (tptp.c_Nat_Ocompow @t3067 tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t6083 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t3068) @t4203) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3068 @t3068) @t6082) @t201))) % 6.41/6.69 (define @t6084 () (tptp.hBOOL (tptp.hAPP @t6004 @t6028))) % 6.41/6.69 (define @t6085 () (@list @t201 @t3161 @t8)) % 6.41/6.69 (define @t6086 () (tptp.hAPP (tptp.hAPP @t6082 @t281) @t201)) % 6.41/6.69 (define @t6087 () (@list @t281 @t201 @t8)) % 6.41/6.69 (define @t6088 () (tptp.hAPP (tptp.hAPP @t6082 @t1074) @t201)) % 6.41/6.69 (define @t6089 () (tptp.c_Nat_Ocompow @t8 @t8)) % 6.41/6.69 (define @t6090 () (tptp.hAPP @t6089 @t281)) % 6.41/6.69 (define @t6091 () (tptp.hAPP @t6090 @t2)) % 6.41/6.69 (define @t6092 () (@list @t201 @t281 @t8)) % 6.41/6.69 (define @t6093 () (tptp.hAPP (tptp.hAPP @t6089 @t378) @t2)) % 6.41/6.69 (define @t6094 () (tptp.hAPP (tptp.hAPP @t4755 @t6086) @t201)) % 6.41/6.69 (define @t6095 () (tptp.hAPP (tptp.hAPP @t6082 @t282) @t201)) % 6.41/6.69 (define @t6096 () (tptp.hBOOL (tptp.hAPP @t6029 @t6095))) % 6.41/6.69 (define @t6097 () (tptp.hBOOL (tptp.hAPP @t6004 (tptp.hAPP (tptp.hAPP @t6082 @t427) @t201)))) % 6.41/6.69 (define @t6098 () (tptp.hAPP @t3088 (tptp.hAPP @t5936 @t261))) % 6.41/6.69 (define @t6099 () (not (tptp.hBOOL (tptp.hAPP @t6098 @t201)))) % 6.41/6.69 (define @t6100 () (tptp.hAPP (tptp.hAPP @t6082 @t1240) @t201)) % 6.41/6.69 (define @t6101 () (tptp.hAPP @t3088 (tptp.hAPP @t3245 @t43))) % 6.41/6.69 (define @t6102 () (@list @t43 @t1240)) % 6.41/6.69 (define @t6103 () (=> @t1142 (not @t436))) % 6.41/6.69 (define @t6104 () (tptp.hBOOL (tptp.hAPP @t6029 @t6086))) % 6.41/6.69 (define @t6105 () (@list @t201 @t281 @t261 @t73 @t8)) % 6.41/6.69 (define @t6106 () (tptp.hBOOL (tptp.hAPP @t6101 @t201))) % 6.41/6.69 (define @t6107 () (@var "V_seed_2" $$unsorted)) % 6.41/6.69 (define @t6108 () (@var "V_size_2" $$unsorted)) % 6.41/6.69 (define @t6109 () (@var "V_nrandom_2" $$unsorted)) % 6.41/6.69 (define @t6110 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t201 @t6109) @t6108) @t6107)) % 6.41/6.69 (define @t6111 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t117)) % 6.41/6.69 (define @t6112 () (tptp.hBOOL (tptp.hAPP @t3832 @t6111))) % 6.41/6.69 (define @t6113 () (tptp.hAPP @t3088 (tptp.hAPP @t5936 @t3))) % 6.41/6.69 (define @t6114 () (tptp.hBOOL (tptp.hAPP @t3832 (tptp.c_Transitive__Closure_Ortrancl @t8 (tptp.hAPP (tptp.hAPP @t3600 @t117) @t116))))) % 6.41/6.69 (define @t6115 () (@list @t116 @t117 @t58 @t13 @t8)) % 6.41/6.69 (define @t6116 () (tptp.hBOOL (tptp.hAPP @t6098 @t6086))) % 6.41/6.69 (define @t6117 () (tptp.hAPP @t3088 (tptp.hAPP @t5938 @t100))) % 6.41/6.69 (define @t6118 () (tptp.hAPP @t3088 (tptp.hAPP @t3245 @t4119))) % 6.41/6.69 (define @t6119 () (tptp.hBOOL (tptp.hAPP @t876 @t1332))) % 6.41/6.69 (define @t6120 () (= @t4884 (tptp.hAPP (tptp.hAPP @t5508 @t5236) (tptp.hAPP @t5189 @t5914)))) % 6.41/6.69 (define @t6121 () (@list @t5236 @t5914)) % 6.41/6.69 (define @t6122 () (@var "B_Q" $$unsorted)) % 6.41/6.69 (define @t6123 () (tptp.hBOOL (tptp.hAPP @t137 @t6122))) % 6.41/6.69 (define @t6124 () (@var "V_yx_2" $$unsorted)) % 6.41/6.69 (define @t6125 () (@var "V_xz_2" $$unsorted)) % 6.41/6.69 (define @t6126 () (tptp.c_Nitpick_Odenom @t8)) % 6.41/6.69 (define @t6127 () (tptp.hAPP @t6126 @t2917)) % 6.41/6.69 (define @t6128 () (tptp.hAPP @t3094 @t2484)) % 6.41/6.69 (define @t6129 () (tptp.c_Nitpick_Onum @t8)) % 6.41/6.69 (define @t6130 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.41/6.69 (define @t6131 () (tptp.hAPP @t6126 @t2748)) % 6.41/6.69 (define @t6132 () (@list @t2917 @t2748 @t8)) % 6.41/6.69 (define @t6133 () (tptp.hAPP @t6126 @t1594)) % 6.41/6.69 (define @t6134 () (tptp.hAPP @t6129 @t1594)) % 6.41/6.69 (define @t6135 () (tptp.c_Int_Oring__1__class_Oof__int @t74)) % 6.41/6.69 (define @t6136 () (@list @t1594 @t8)) % 6.41/6.69 (define @t6137 () (tptp.hAPP @t6129 (tptp.c_Nitpick_Oplus__frac @t8 @t2748 (tptp.c_Nitpick_Ouminus__frac @t8 @t2917)))) % 6.41/6.69 (define @t6138 () (tptp.c_Nitpick_ORep__Frac @t8)) % 6.41/6.69 (define @t6139 () (tptp.hAPP @t4100 @t2978)) % 6.41/6.69 (define @t6140 () (tptp.class_Rings_Olinordered__semidom @t74)) % 6.41/6.69 (define @t6141 () (tptp.c_List_Olist__all @t8 @t117 @t4884)) % 6.41/6.69 (define @t6142 () (tptp.c_List_Olist__ex1 @t8 @t117 @t4884)) % 6.41/6.69 (define @t6143 () (tptp.c_FunDef_Ois__measure @t8 @t2)) % 6.41/6.69 (define @t6144 () (@list @t74 @t2 @t8)) % 6.41/6.69 (define @t6145 () (tptp.c_HOL_Oequal__class_Oequal @t8)) % 6.41/6.69 (define @t6146 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t8)) % 6.41/6.69 (define @t6147 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 tptp.tc_Code__Numeral_Ocode__numeral @t6146) @t2) @t638)) % 6.41/6.69 (define @t6148 () (tptp.hAPP @t73 (tptp.hAPP (tptp.hAPP @t2842 @t638) @t2841))) % 6.41/6.69 (define @t6149 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t74 @t8 @t73 @t2) @t638)) % 6.41/6.69 (define @t6150 () (= @t638 @t2833)) % 6.41/6.69 (define @t6151 () (not @t6150)) % 6.41/6.69 (define @t6152 () (tptp.c_Lazy__Sequence_Oempty @t8)) % 6.41/6.69 (define @t6153 () (@list @t2 @t73 @t8 @t74 @t638)) % 6.41/6.69 (define @t6154 () (tptp.c_HOL_Oequal__class_Oequal tptp.tc_Int_Oint)) % 6.41/6.69 (define @t6155 () (tptp.hAPP @t6154 tptp.c_Int_OPls)) % 6.41/6.69 (define @t6156 () (tptp.hAPP @t6154 tptp.c_Int_OMin)) % 6.41/6.69 (define @t6157 () (tptp.hAPP @t6154 @t2213)) % 6.41/6.69 (define @t6158 () (tptp.hAPP @t6154 @t2216)) % 6.41/6.69 (define @t6159 () (@list @t2213)) % 6.41/6.69 (define @t6160 () (@list @t2212)) % 6.41/6.69 (define @t6161 () (@var "V_k1" $$unsorted)) % 6.41/6.69 (define @t6162 () (tptp.hAPP @t6154 (tptp.c_Int_OBit0 @t6161))) % 6.41/6.69 (define @t6163 () (@list @t6161)) % 6.41/6.69 (define @t6164 () (@var "V_k2" $$unsorted)) % 6.41/6.69 (define @t6165 () (tptp.c_Int_OBit0 @t6164)) % 6.41/6.69 (define @t6166 () (@list @t6164)) % 6.41/6.69 (define @t6167 () (tptp.hAPP @t6154 @t2349)) % 6.41/6.69 (define @t6168 () (tptp.hAPP @t6154 (tptp.c_Int_OBit1 @t6161))) % 6.41/6.69 (define @t6169 () (@list @t6164 @t6161)) % 6.41/6.69 (define @t6170 () (tptp.c_Int_OBit1 @t6164)) % 6.41/6.69 (define @t6171 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6154 @t205) @t1468))) % 6.41/6.69 (define @t6172 () (tptp.hBOOL (tptp.hAPP @t6157 @t2212))) % 6.41/6.69 (define @t6173 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 6.41/6.69 (define @t6174 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6146)) % 6.41/6.69 (define @t6175 () (tptp.tc_fun @t5961 @t6174)) % 6.41/6.69 (define @t6176 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6175)) % 6.41/6.69 (define @t6177 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t5961 @t6174) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 tptp.tc_Code__Numeral_Ocode__numeral @t6175) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 tptp.tc_Code__Numeral_Ocode__numeral @t6176) @t2) @t6109)) @t6108)) @t6107)) % 6.41/6.69 (define @t6178 () (@list @t6107 @t6108 @t6109 @t2 @t201 @t8 @t74)) % 6.41/6.69 (define @t6179 () (@var "V_i_1" $$unsorted)) % 6.41/6.69 (define @t6180 () (tptp.c_New__DSequence_Opos__empty @t8)) % 6.41/6.69 (define @t6181 () (tptp.hAPP @t73 @t638)) % 6.41/6.69 (define @t6182 () (@list @t638 @t2 @t73 @t8 @t74)) % 6.41/6.69 (define @t6183 () (tptp.c_Lazy__Sequence_Oyield @t8)) % 6.41/6.69 (define @t6184 () (tptp.hAPP @t6183 @t5997)) % 6.41/6.69 (define @t6185 () (tptp.c_Nat_Osize__class_Osize @t6146)) % 6.41/6.69 (define @t6186 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1876 @t6146) @t553)) % 6.41/6.69 (define @t6187 () (tptp.c_COMBC @t6146 tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t6188 () (tptp.tc_fun @t6146 tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t6189 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t6146 tptp.tc_Nat_Onat)) % 6.41/6.69 (define @t6190 () (tptp.tc_prod @t8 @t6146)) % 6.41/6.69 (define @t6191 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t8 @t428)) % 6.41/6.69 (define @t6192 () (tptp.tc_fun @t6146 @t1876)) % 6.41/6.69 (define @t6193 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t74)) % 6.41/6.69 (define @t6194 () (@var "V_lazy__sequence_2" $$unsorted)) % 6.41/6.69 (define @t6195 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t8 @t1299)) % 6.41/6.69 (define @t6196 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t13 @t6194)) % 6.41/6.69 (define @t6197 () (@var "V_lazy__sequence_H_2" $$unsorted)) % 6.41/6.69 (define @t6198 () (@var "V_xq" $$unsorted)) % 6.41/6.69 (define @t6199 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t95 @t6198)) % 6.41/6.69 (define @t6200 () (@var "V_lazy__sequence" $$unsorted)) % 6.41/6.69 (define @t6201 () (tptp.c_New__Random__Sequence_Opos__single @t8)) % 6.41/6.69 (define @t6202 () (@list @t117 @t2 @t8 @t74)) % 6.41/6.69 (define @t6203 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t407)) % 6.41/6.69 (define @t6204 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 tptp.tc_Code__Numeral_Ocode__numeral @t6203) @t2) @t638)) % 6.41/6.69 (define @t6205 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t74 @t8 @t73 @t2) @t638)) % 6.41/6.69 (define @t6206 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6203)) % 6.41/6.69 (define @t6207 () (tptp.tc_fun @t5961 @t6206)) % 6.41/6.69 (define @t6208 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6207)) % 6.41/6.69 (define @t6209 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t5961 @t6206) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 tptp.tc_Code__Numeral_Ocode__numeral @t6207) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 tptp.tc_Code__Numeral_Ocode__numeral @t6208) @t2) @t6109)) @t6108)) @t6107)) % 6.41/6.69 (define @t6210 () (@list @t6107 @t6108 @t6109 @t73 @t8)) % 6.41/6.69 (define @t6211 () (@list @t6179 @t95 @t8)) % 6.41/6.69 (define @t6212 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2930)) % 6.41/6.69 (define @t6213 () (tptp.tc_fun @t74 @t6212)) % 6.41/6.69 (define @t6214 () (tptp.c_New__Random__Sequence_Oneg__single @t8)) % 6.41/6.69 (define @t6215 () (tptp.c_Lazy__Sequence_Osingle @t4813)) % 6.41/6.69 (define @t6216 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t4813)) % 6.41/6.69 (define @t6217 () (tptp.hAPP (tptp.hAPP @t1408 @t60) @t1477)) % 6.41/6.69 (define @t6218 () (tptp.class_Lazy__Sequence_Osmall__lazy @t8)) % 6.41/6.69 (define @t6219 () (@var "V_yq" $$unsorted)) % 6.41/6.69 (define @t6220 () (@var "V_yq_2" $$unsorted)) % 6.41/6.69 (define @t6221 () (tptp.c_Lazy__Sequence_Osingle tptp.tc_Int_Oint)) % 6.41/6.69 (define @t6222 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t715 @t592)) % 6.41/6.69 (define @t6223 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t715) @t592))) % 6.41/6.69 (define @t6224 () (tptp.c_Lazy__Sequence_Oempty tptp.tc_Int_Oint)) % 6.41/6.69 (define @t6225 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t60 @t638)) % 6.41/6.69 (define @t6226 () (tptp.c_Wellfounded_Oaccp @t2920 tptp.c_Lazy__Sequence_Osmall__lazy_H__rel)) % 6.41/6.69 (define @t6227 () (@var "T_1" $$unsorted)) % 6.41/6.69 (define @t6228 () (@var "T_2" $$unsorted)) % 6.41/6.69 (define @t6229 () (tptp.tc_fun @t6228 @t6227)) % 6.41/6.69 (define @t6230 () (tptp.class_Lattices_Obounded__lattice @t6227)) % 6.41/6.69 (define @t6231 () (@list @t6228 @t6227)) % 6.41/6.69 (define @t6232 () (tptp.class_Lattices_Olattice @t6227)) % 6.41/6.69 (define @t6233 () (tptp.class_Finite__Set_Ofinite @t6227)) % 6.41/6.69 (define @t6234 () (and (tptp.class_Finite__Set_Ofinite @t6228) @t6233)) % 6.41/6.69 (define @t6235 () (@list @t6227 @t6228)) % 6.41/6.69 (define @t6236 () (tptp.class_Enum_Oenum @t6228)) % 6.41/6.69 (define @t6237 () (tptp.class_Enum_Oenum @t6227)) % 6.41/6.69 (define @t6238 () (and @t6236 @t6237)) % 6.41/6.69 (define @t6239 () (tptp.tc_List_Olist @t6227)) % 6.41/6.69 (define @t6240 () (tptp.class_Lazy__Sequence_Osmall__lazy @t6227)) % 6.41/6.69 (define @t6241 () (@list @t6227)) % 6.41/6.69 (define @t6242 () (tptp.tc_sum @t6228 @t6227)) % 6.41/6.69 (define @t6243 () (tptp.tc_Option_Ooption @t6227)) % 6.41/6.69 (define @t6244 () (tptp.tc_prod @t6228 @t6227)) % 6.41/6.69 (define @t6245 () (tptp.tc_Hoare__Mirabelle_Otriple @t6227)) % 6.41/6.69 (define @t6246 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t6227)) % 6.41/6.69 (define @t6247 () (@var "V_Q" $$unsorted)) % 6.41/6.69 (define @t6248 () (tptp.hAPP @t116 @t201)) % 6.41/6.69 (define @t6249 () (tptp.hAPP @t117 @t201)) % 6.41/6.69 (define @t6250 () (@list @t201 @t116 @t117 @t8 @t210 @t74)) % 6.41/6.69 (define @t6251 () (tptp.hBOOL (tptp.hAPP @t4419 @t100))) % 6.41/6.69 (define @t6252 () (tptp.hBOOL @t117)) % 6.41/6.69 (define @t6253 () (not @t6252)) % 6.41/6.69 (define @t6254 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t117))) % 6.41/6.69 (define @t6255 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t117) @t116))) % 6.41/6.69 (define @t6256 () (tptp.hBOOL @t116)) % 6.41/6.69 (define @t6257 () (not @t6256)) % 6.41/6.69 (define @t6258 () (@list @t116 @t117)) % 6.41/6.69 (define @t6259 () (not @t6255)) % 6.41/6.69 (define @t6260 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t117) @t116))) % 6.41/6.69 (define @t6261 () (@list @t117 @t116)) % 6.41/6.69 (define @t6262 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t117) @t116))) % 6.41/6.69 (define @t6263 () (tptp.hAPP @t40 tptp.v_y)) % 6.41/6.69 (define @t6264 () (tptp.hAPP tptp.c_Com_Obody tptp.v_pn)) % 6.41/6.69 (define @t6265 () (= @t6264 @t6263)) % 6.41/6.69 (define @t6266 () (tptp.hAPP tptp.c_Com_Ocom_OBODY tptp.v_pn)) % 6.41/6.69 (define @t6267 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t17 (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t6266)) @t17))) % 6.41/6.69 (define @t6268 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t6266))) % 6.41/6.69 (define @t6269 () (or (= @t6264 @t141) @t6268)) % 6.41/6.69 (define @t6270 () (forall @t144 (or @t142 @t140))) % 6.41/6.69 (define @t6271 () (= @t141 @t6264)) % 6.41/6.69 (define @t6272 () (or @t6271 @t6268)) % 6.41/6.69 (define @t6273 () (not @t23)) % 6.41/6.69 (define @t6274 () (or @t6273 @t22)) % 6.41/6.69 (define @t6275 () (forall @t26 @t6274)) % 6.41/6.69 (define @t6276 () (not tptp.c_Com_OWT__bodies)) % 6.41/6.69 (define @t6277 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 6.41/6.69 (define @t6278 () (or @t6277 @t6276 @t6274)) % 6.41/6.69 (define @t6279 () (or @t6277 @t6276 @t6273 @t22)) % 6.41/6.69 (define @t6280 () (or @t6276 @t6273 @t22)) % 6.41/6.69 (define @t6281 () (not @t6268)) % 6.41/6.69 (define @t6282 () (or @t6281 @t6267)) % 6.41/6.69 (define @t6283 () (@list true false)) % 6.41/6.69 (define @t6284 () (not @t6271)) % 6.41/6.69 (define @t6285 () (= @t141 @t6263)) % 6.41/6.69 (define @t6286 () (not @t6265)) % 6.41/6.69 (define @t6287 () (not @t6285)) % 6.41/6.69 (define @t6288 () (and @t6265 @t6287)) % 6.41/6.69 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t7 @t6) (= @t2 @t1)))) % 6.41/6.69 (assume @p2 (forall (@list @t12 @t8) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t11))) % 6.41/6.69 (assume @p3 (forall @t14 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t13 @t11))) % 6.41/6.69 (assume @p4 @t27) % 6.41/6.69 (assume @p5 (forall @t32 (=> @t31 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t30) @t29)))) % 6.41/6.69 (assume @p6 (forall @t38 (=> @t37 (=> @t29 @t36)))) % 6.41/6.69 (assume @p7 (forall @t38 (=> @t36 (and @t37 @t29)))) % 6.41/6.69 (assume @p8 (forall (@list @t39 @t41) (=> tptp.c_Com_OWT__bodies (=> (= @t42 (tptp.hAPP @t40 @t39)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t39)))))) % 6.41/6.69 (assume @p9 (forall (@list @t13) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t13))) (exists @t45 (= (tptp.hAPP tptp.c_Com_Obody @t13) @t44))))) % 6.41/6.69 (assume @p10 (forall (@list @t12 @t46) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate (tptp.hAPP @t48 @t12) (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t50)) @t17)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t12 (tptp.hAPP @t48 @t17))))) % 6.41/6.69 (assume @p11 (forall @t57 (not (= @t56 @t54)))) % 6.41/6.69 (assume @p12 (forall @t57 (not (= @t54 @t56)))) % 6.41/6.69 (assume @p13 (forall @t68 (= (= @t67 (tptp.hAPP @t64 (tptp.hAPP (tptp.hAPP @t52 @t60) @t56))) (or @t63 (and (= @t13 @t60) @t59))))) % 6.41/6.69 (assume @p14 (forall @t71 (=> (= @t70 @t66) @t69))) % 6.41/6.69 (assume @p15 (forall @t77 (=> @t76 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t75) @t73) @t72)))) % 6.41/6.69 (assume @p16 (forall @t81 (=> tptp.c_Hoare__Mirabelle_Ostate__not__singleton (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t80 @t3) @t79)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t12 (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t3))) @t17)))) (=> @t23 @t78))))) % 6.41/6.69 (assume @p17 (forall (@list @t82) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t84)) (not (forall @t45 (not (= @t83 @t44))))))) % 6.41/6.69 (assume @p18 (forall @t89 (= (tptp.c_Option_Oset @t8 @t88) @t86))) % 6.41/6.69 (assume @p19 (forall (@list @t90 @t91) (= (= @t94 @t93) @t92))) % 6.41/6.69 (assume @p20 (forall @t97 (= (tptp.hAPP @t96 (tptp.hAPP @t87 @t95)) @t95))) % 6.41/6.69 (assume @p21 (forall (@list @t73 @t51 @t100 @t8) (= (tptp.hBOOL (tptp.hAPP @t103 @t73)) (or @t101 @t99)))) % 6.41/6.69 (assume @p22 (forall @t105 (= (tptp.hAPP @t85 @t103) (tptp.hAPP @t102 @t104)))) % 6.41/6.69 (assume @p23 (forall @t106 (= (tptp.hAPP @t85 @t104) @t104))) % 6.41/6.69 (assume @p24 (forall (@list @t107 @t13 @t8) (= (= @t109 (tptp.hAPP @t87 @t107)) @t108))) % 6.41/6.69 (assume @p25 (forall (@list @t74 @t100 @t8 @t73 @t2) (=> (= @t115 @t114) (= @t113 @t110)))) % 6.41/6.69 (assume @p26 (forall @t89 (= (tptp.c_Set_Othe__elem @t8 @t86) @t73))) % 6.41/6.69 (assume @p27 (forall (@list @t12 @t116 @t46 @t117 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 (tptp.hAPP @t121 @t12) @t124) @t122))) % 6.41/6.69 (assume @p28 (forall (@list @t116 @t46 @t117 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t124) @t122))) % 6.41/6.69 (assume @p29 (forall @t131 (= (tptp.hAPP @t130 @t128) @t126))) % 6.41/6.69 (assume @p30 (forall @t131 (= (tptp.c_Option_Ooption_Ooption__rec @t8 @t74 @t129 @t125 @t128) @t126))) % 6.41/6.69 (assume @p31 (forall (@list @t95 @t74) (not (tptp.c_Option_Ois__none @t74 (tptp.hAPP @t127 @t95))))) % 6.41/6.69 (assume @p32 (forall (@list @t73 @t117 @t51 @t8) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Option_Oset @t8 @t51))) @t135)) (=> (= @t51 @t88) @t133)))) % 6.41/6.69 (assume @p33 (forall (@list @t13 @t117 @t138) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t138 @t117 @t13))) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t117)))))) % 6.41/6.69 (assume @p34 @t145) % 6.41/6.69 (assume @p35 (forall (@list @t116 @t117 @t18) (=> @t22 (=> (tptp.c_Hoare__Mirabelle_Ohoare__valids tptp.tc_Com_Ostate @t17 @t147) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t17 @t147))))) % 6.41/6.69 (assume @p36 (tptp.hBOOL (tptp.hAPP @t148 @t79))) % 6.41/6.69 (assume @p37 (forall @t150 (tptp.c_Option_Ois__none @t8 @t149))) % 6.41/6.69 (assume @p38 (forall @t89 (= (tptp.c_Option_Ois__none @t8 @t73) @t151))) % 6.41/6.69 (assume @p39 (forall (@list @t152 @t90 @t155 @t153 @t91 @t156) (= (= @t158 @t157) (and (= @t156 @t155) @t92 @t154)))) % 6.41/6.69 (assume @p40 (forall @t160 (= (tptp.c_Option_Ooption_Ooption__rec @t8 @t74 @t129 @t125 @t159) @t129))) % 6.41/6.69 (assume @p41 (forall @t160 (= (tptp.hAPP @t130 @t159) @t129))) % 6.41/6.69 (assume @p42 (forall (@list @t161 @t163 @t166 @t162 @t164 @t167 @t8) (= (= @t168 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t118 @t166) @t163) @t161)) (and (= @t167 @t166) @t165 (= @t162 @t161))))) % 6.41/6.69 (assume @p43 (forall @t171 (not (= @t149 @t170)))) % 6.41/6.69 (assume @p44 (forall @t171 (not (= @t170 @t149)))) % 6.41/6.69 (assume @p45 (forall @t173 (= (forall @t45 (not @t172)) @t151))) % 6.41/6.69 (assume @p46 (forall @t173 (= (not @t151) (exists @t45 @t172)))) % 6.41/6.69 (assume @p47 (forall (@list @t152 @t90 @t155 @t91) (not (= @t94 @t157)))) % 6.41/6.69 (assume @p48 (forall (@list @t91 @t152 @t90 @t155) (not (= @t157 @t94)))) % 6.41/6.69 (assume @p49 (forall @t150 (= (tptp.c_Option_Oset @t8 @t149) @t56))) % 6.41/6.69 (assume @p50 (forall (@list @t174 @t8) (= (= @t175 @t56) (= @t174 @t149)))) % 6.41/6.69 (assume @p51 (forall (@list @t178 @t176 @t179) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t179 @t176 @t178))) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t177))))) % 6.41/6.69 (assume @p52 (forall (@list @t13 @t138 @t46) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t47)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t138 @t46 @t13)))))) % 6.41/6.69 (assume @p53 (forall @t181 (=> @t29 @t180))) % 6.41/6.69 (assume @p54 (forall @t185 (=> @t184 @t183))) % 6.41/6.69 (assume @p55 (forall @t150 (tptp.hBOOL (tptp.hAPP @t182 @t56)))) % 6.41/6.69 (assume @p56 (forall @t189 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t74 @t8 @t129 @t188) @t186))) % 6.41/6.69 (assume @p57 (forall @t189 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t74 @t8 @t129 @t188) @t186))) % 6.41/6.69 (assume @p58 (forall @t57 (= @t183 @t184))) % 6.41/6.69 (assume @p59 (forall (@list @t117 @t12 @t8) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP @t119 tptp.c_Com_Ocom_OSKIP) @t117)) @t11)))) % 6.41/6.69 (assume @p60 (forall (@list @t179 @t176 @t8) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t176 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t118 @t179) tptp.c_Com_Ocom_OSKIP) @t179)) @t11)))) % 6.41/6.69 (assume @p61 (forall (@list @t116 @t196 @t18 @t117 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP @t190 @t196)) @t11)) (=> (forall @t197 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t196 @t194) @t193)) (tptp.hBOOL (tptp.hAPP @t195 @t193)))) @t192)))) % 6.41/6.69 (assume @p62 (forall (@list @t117 @t116 @t18 @t198 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP @t200 @t116)) @t11)) (=> (forall @t197 (=> @t199 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t198 @t194) @t193)))) @t192)))) % 6.41/6.69 (assume @p63 (forall (@list @t201 @t60 @t116 @t18 @t117 @t12 @t8) (=> @t192 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t118 @t116) @t60) @t201)) @t11)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP @t119 (tptp.c_Com_Ocom_OSemi @t18 @t60)) @t201)) @t11)))))) % 6.41/6.69 (assume @p64 (forall (@list @t205 @t206 @t203 @t210 @t8 @t74) (= (= @t211 @t149) (or (= @t207 @t159) (exists @t209 (and @t208 (= @t204 @t149))))))) % 6.41/6.69 (assume @p65 (forall (@list @t212 @t213) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t213 @t212))) (not (=> @t214 (not (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t212)))))))) % 6.41/6.69 (assume @p66 (forall (@list @t215 @t218 @t216 @t219) (= (= @t222 @t221) (and @t220 @t217)))) % 6.41/6.69 (assume @p67 (forall @t226 (not (= @t225 tptp.c_Com_Ocom_OSKIP)))) % 6.41/6.69 (assume @p68 (forall @t226 (not (= tptp.c_Com_Ocom_OSKIP @t225)))) % 6.41/6.69 (assume @p69 (forall (@list @t227 @t229 @t230) (not (= @t231 @t228)))) % 6.41/6.69 (assume @p70 (forall (@list @t229 @t230 @t227) (not (= @t228 @t231)))) % 6.41/6.69 (assume @p71 (forall (@list @t213 @t232) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t232)) (=> @t214 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t233)))))) % 6.41/6.69 (assume @p72 (forall (@list @t179 @t176) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t176 @t179))) @t235))) % 6.41/6.69 (assume @p73 (forall (@list @t216 @t219 @t152 @t90 @t155) (not (= @t157 @t222)))) % 6.41/6.69 (assume @p74 (forall (@list @t152 @t90 @t155 @t216 @t219) (not (= @t222 @t157)))) % 6.41/6.69 (assume @p75 (forall @t236 (not (= @t228 tptp.c_Com_Ocom_OSKIP)))) % 6.41/6.69 (assume @p76 (forall @t236 (not (= tptp.c_Com_Ocom_OSKIP @t228)))) % 6.41/6.69 (assume @p77 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP))) % 6.41/6.69 (assume @p78 (forall @t237 (not (= @t157 tptp.c_Com_Ocom_OSKIP)))) % 6.41/6.69 (assume @p79 (forall @t237 (not (= tptp.c_Com_Ocom_OSKIP @t157)))) % 6.41/6.69 (assume @p80 (forall (@list @t203 @t74 @t210 @t8 @t205 @t206) (=> (= @t207 @t149) (= @t238 (tptp.c_Option_Ooption_ONone @t210))))) % 6.41/6.69 (assume @p81 (forall (@list @t203 @t74 @t210 @t239 @t8 @t205 @t206) (=> (= @t207 (tptp.hAPP @t87 @t239)) (= @t238 (tptp.hAPP @t203 @t239))))) % 6.41/6.69 (assume @p82 (forall (@list @t240 @t205 @t206 @t203 @t210 @t8 @t74) (= (= @t211 @t241) (exists @t209 (and @t208 (= @t204 @t241)))))) % 6.41/6.69 (assume @p83 (forall @t243 (=> @t242 @t184))) % 6.41/6.69 (assume @p84 (forall @t252 (=> @t251 (=> @t184 @t250)))) % 6.41/6.69 (assume @p85 (forall @t263 (=> @t262 (=> @t260 @t258)))) % 6.41/6.69 (assume @p86 (forall @t265 (=> @t264 (= (tptp.hAPP @t244 @t86) @t73)))) % 6.41/6.69 (assume @p87 (forall (@list @t58 @t13 @t2 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t70) @t58)) @t69))) % 6.41/6.69 (assume @p88 (forall @t14 (= (tptp.hBOOL (tptp.hAPP @t182 @t13)) (or (= @t13 @t56) (exists @t272 (and (exists @t271 (= @t13 @t270)) @t267)))))) % 6.41/6.69 (assume @p89 (forall (@list @t51 @t74 @t8 @t73 @t2) (=> (= @t115 @t149) (= (tptp.hAPP @t275 @t256) (tptp.hAPP @t275 @t51))))) % 6.41/6.69 (assume @p90 (forall (@list @t276 @t277 @t41) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t278) @t277) @t276)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t139) @t277) @t276))))) % 6.41/6.69 (assume @p91 (forall (@list @t276 @t279 @t82) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t84) @t279) @t276)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t280) @t279) @t276))))) % 6.41/6.69 (assume @p92 (forall (@list @t116 @t46 @t117 @t281 @t8) (= (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t281 @t123) (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t282 @t120)))) % 6.41/6.69 (assume @p93 (forall (@list @t174 @t73 @t8) (= (tptp.hBOOL (tptp.hAPP @t283 @t175)) (= @t174 @t88)))) % 6.41/6.69 (assume @p94 (forall (@list @t8 @t284) (=> (not (= @t284 @t149)) (not (forall @t271 (not (= @t284 (tptp.hAPP @t87 @t268)))))))) % 6.41/6.69 (assume @p95 (forall (@list @t116 @t117 @t196 @t18 @t198 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP @t200 @t196)) @t11)) (=> (forall @t197 (=> @t199 (forall @t288 (=> (forall (@list @t287) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t198 @t287) @t193)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t196 @t287) @t285)))) @t286)))) @t192)))) % 6.41/6.69 (assume @p96 (forall (@list @t18 @t8 @t289 @t51) (=> @t297 (=> @t296 (not @t294))))) % 6.41/6.69 (assume @p97 (forall @t14 (not (tptp.hBOOL (tptp.hAPP @t298 @t56))))) % 6.41/6.69 (assume @p98 (forall @t303 (=> @t302 (=> @t300 @t299)))) % 6.41/6.69 (assume @p99 (forall @t308 (=> (=> @t307 @t69) @t305))) % 6.41/6.69 (assume @p100 (forall @t313 (=> @t292 (=> @t295 @t312)))) % 6.41/6.69 (assume @p101 (forall @t313 (=> @t312 (not @t314)))) % 6.41/6.69 (assume @p102 (forall @t316 (=> @t184 @t315))) % 6.41/6.69 (assume @p103 (forall (@list @t317 @t213 @t276 @t277 @t232) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t232) @t277) @t276)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t213) @t276) @t317)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t233) @t277) @t317)))))) % 6.41/6.69 (assume @p104 (forall @t322 (=> (tptp.hBOOL (tptp.hAPP @t321 @t318)) @t319))) % 6.41/6.69 (assume @p105 (forall (@list @t279) (tptp.hBOOL (tptp.hAPP @t321 @t279)))) % 6.41/6.69 (assume @p106 (forall @t106 (= @t323 @t99))) % 6.41/6.69 (assume @p107 (forall @t313 (= @t312 (and @t292 @t295)))) % 6.41/6.69 (assume @p108 (forall @t316 (= (tptp.hAPP @t324 @t289) @t311))) % 6.41/6.69 (assume @p109 (forall (@list @t73 @t8 @t289 @t51) (=> @t297 (= @t323 @t325)))) % 6.41/6.69 (assume @p110 (forall (@list @t51 @t8 @t100 @t73) (=> @t328 (= @t323 @t327)))) % 6.41/6.69 (assume @p111 (forall @t331 (=> @t69 (=> @t330 @t299)))) % 6.41/6.69 (assume @p112 (forall @t313 (=> @t312 @t292))) % 6.41/6.69 (assume @p113 (forall @t313 (=> @t312 @t295))) % 6.41/6.69 (assume @p114 (forall (@list @t332 @t318 @t279 @t333) (=> @t335 (=> (tptp.hBOOL (tptp.hAPP @t334 @t332)) (= @t332 @t318))))) % 6.41/6.69 (assume @p115 (forall (@list @t318 @t336 @t8) (=> (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t337 @t318) (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t336 @t318)))) % 6.41/6.69 (assume @p116 (forall @t341 @t340)) % 6.41/6.69 (assume @p117 (forall @t341 (and @t340 (=> @t342 (= @t339 (tptp.hAPP @t85 @t311)))))) % 6.41/6.69 (assume @p118 (forall @t265 (=> @t251 @t343))) % 6.41/6.69 (assume @p119 (forall (@list @t73 @t244 @t1 @t261 @t2 @t74 @t8) (=> @t262 @t343))) % 6.41/6.69 (assume @p120 (forall @t252 (=> @t251 (=> @t184 (=> @t323 (= @t246 @t245)))))) % 6.41/6.69 (assume @p121 (forall (@list @t344 @t179 @t346 @t176) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi @t176 @t346)) @t179) @t344)) (exists @t347 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t176) @t179) @t345)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t346) @t345) @t344))))))) % 6.41/6.69 (assume @p122 (forall @t349 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t320 @t348) @t348)))) % 6.41/6.69 (assume @p123 (forall @t263 (=> @t262 (=> @t260 (=> @t352 (= @t255 @t245)))))) % 6.41/6.69 (assume @p124 (forall @t106 (=> @t353 (= (tptp.hAPP @t338 @t86) @t51)))) % 6.41/6.69 (assume @p125 (forall @t57 (=> @t299 (= @t355 @t51)))) % 6.41/6.69 (assume @p126 (forall @t252 (=> @t264 (=> @t184 (=> @t323 (and (=> @t359 (= @t245 @t73)) (=> @t360 (= @t245 @t358)))))))) % 6.41/6.69 (assume @p127 (forall @t243 (= (tptp.hAPP (tptp.hAPP @t309 @t56) @t51) @t56))) % 6.41/6.69 (assume @p128 (forall @t243 (= (tptp.hAPP @t310 @t56) @t51))) % 6.41/6.69 (assume @p129 (forall @t243 (= (tptp.hAPP @t310 @t51) @t56))) % 6.41/6.69 (assume @p130 (forall @t362 (=> @t361 (= @t315 @t184)))) % 6.41/6.69 (assume @p131 (forall @t243 (= (forall @t7 @t364) @t248))) % 6.41/6.69 (assume @p132 (forall @t243 (= @t365 @t249))) % 6.41/6.69 (assume @p133 (forall (@list @t18 @t8) (not (tptp.hBOOL (tptp.hAPP @t290 @t56))))) % 6.41/6.69 (assume @p134 (forall (@list @t13 @t8 @t51) (=> @t248 @t366))) % 6.41/6.69 (assume @p135 (forall @t368 (tptp.hBOOL (tptp.hAPP @t298 @t367)))) % 6.41/6.69 (assume @p136 (forall @t303 (= @t302 @t369))) % 6.41/6.69 (assume @p137 (forall @t371 (=> @t353 (=> @t342 (= (= @t104 @t370) @t297))))) % 6.41/6.69 (assume @p138 (forall @t308 (=> @t306 @t305))) % 6.41/6.69 (assume @p139 (forall @t57 (=> @t299 (= @t54 @t51)))) % 6.41/6.69 (assume @p140 (forall @t252 (=> @t264 (=> @t184 (and (=> @t359 (= @t247 @t73)) (=> @t360 (= @t247 @t358))))))) % 6.41/6.69 (assume @p141 (forall @t252 (=> @t264 (=> @t184 (=> @t353 @t250))))) % 6.41/6.69 (assume @p142 (forall @t373 (= @t372 (tptp.hAPP @t324 @t70)))) % 6.41/6.69 (assume @p143 (forall @t373 (= @t372 (tptp.hAPP (tptp.hAPP @t309 @t354) @t289)))) % 6.41/6.69 (assume @p144 (forall @t57 (= @t355 @t54))) % 6.41/6.69 (assume @p145 (forall @t373 (= (tptp.hBOOL (tptp.hAPP @t182 @t372)) @t315))) % 6.41/6.69 (assume @p146 (forall (@list @t73 @t2 @t8) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t56) @t73))))) % 6.41/6.69 (assume @p147 (forall (@list @t73 @t51 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP @t374 @t73)) @t249))) % 6.41/6.69 (assume @p148 (forall @t377 (= @t376 @t375))) % 6.41/6.69 (assume @p149 (forall @t377 (=> @t376 @t375))) % 6.41/6.69 (assume @p150 (forall (@list @t378 @t74 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t298 @t380)) (not (= @t379 @t159))))) % 6.41/6.69 (assume @p151 (forall @t384 (=> @t383 (tptp.hBOOL (tptp.hAPP @t381 (tptp.c_Map_Odom @t74 @t8 @t378)))))) % 6.41/6.69 (assume @p152 (forall (@list @t178 @t179 @t176) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t177) @t179) @t178)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t385) @t179) @t178))))) % 6.41/6.69 (assume @p153 (forall @t263 (=> @t390 (=> @t260 (=> @t352 (= @t245 @t389)))))) % 6.41/6.69 (assume @p154 (forall @t263 (=> @t390 (=> @t260 (= @t257 @t389))))) % 6.41/6.69 (assume @p155 (forall (@list @t73 @t289 @t51 @t74 @t8) (=> (tptp.class_Groups_Ominus @t8) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t75) @t51) @t289) @t73) (tptp.hAPP (tptp.hAPP @t392 @t98) @t391))))) % 6.41/6.69 (assume @p156 (forall @t397 (=> @t264 (=> @t184 (=> @t249 (=> (forall @t396 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t395) @t394))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t245) @t51)))))))) % 6.41/6.69 (assume @p157 (forall (@list @t117 @t51 @t8) (=> @t184 (=> (tptp.hBOOL (tptp.hAPP @t117 @t51)) (=> (forall @t401 (=> @t267 (=> @t400 (=> (tptp.hBOOL (tptp.hAPP @t117 @t266)) (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP (tptp.hAPP @t309 @t266) (tptp.hAPP @t269 @t56)))))))) @t398))))) % 6.41/6.69 (assume @p158 (forall @t406 (=> @t184 (=> @t323 (= @t405 @t403))))) % 6.41/6.69 (assume @p159 (forall (@list @t276 @t336 @t277 @t41) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t278) @t277) @t336) @t276)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t139) @t277) @t337) @t276))))) % 6.41/6.69 (assume @p160 (forall @t263 (=> @t390 (=> @t260 (=> (not @t352) @t258))))) % 6.41/6.69 (assume @p161 (forall (@list @t73 @t51 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t2 @t13 @t51) @t73)) (=> @t366 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t54) @t73)))))) % 6.41/6.69 (assume @p162 (forall (@list @t73 @t2 @t74 @t8 @t100) (and (=> @t411 (= @t410 (tptp.hAPP @t275 @t387))) (=> (not @t411) (= @t410 @t113))))) % 6.41/6.69 (assume @p163 (forall (@list @t317 @t213 @t276 @t336 @t277 @t232) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t232) @t277) @t336) @t276)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t213) @t276) @t336) @t317)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t233) @t277) @t336) @t317)))))) % 6.41/6.69 (assume @p164 (forall (@list @t336 @t279) (tptp.hBOOL (tptp.hAPP @t413 @t279)))) % 6.41/6.69 (assume @p165 (forall (@list @t318 @t336 @t279) (=> (tptp.hBOOL (tptp.hAPP @t413 @t318)) @t319))) % 6.41/6.69 (assume @p166 (forall (@list @t414 @t336 @t279 @t333) (=> (tptp.hBOOL (tptp.hAPP @t416 @t414)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t415 @t337) @t414))))) % 6.41/6.69 (assume @p167 (forall (@list @t100 @t281 @t73 @t13 @t378 @t74 @t8) (=> (= (tptp.hAPP @t422 @t420) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 @t281) @t13) @t417)) @t328))) % 6.41/6.69 (assume @p168 (forall (@list @t74 @t73 @t8 @t205 @t33) (=> (= (tptp.hAPP @t33 @t205) @t88) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t408 @t33) @t205) @t88) @t33)))) % 6.41/6.69 (assume @p169 (forall (@list @t100 @t73 @t58 @t13 @t378 @t8 @t74) (= (= (tptp.hAPP @t426 @t73) @t114) (or (and @t424 (= @t58 @t100)) (and @t425 (= @t423 @t114)))))) % 6.41/6.69 (assume @p170 (forall (@list @t33 @t428 @t18) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t431 @t428) @t33)) (exists @t430 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t429 @t428) @t427) @t33)))))) % 6.41/6.69 (assume @p171 (forall (@list @t318 @t336 @t279 @t333) (=> @t432 @t335))) % 6.41/6.69 (assume @p172 (forall (@list @t433 @t178 @t179 @t344 @t176) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OSemi @t176 @t344)) @t179) @t178) @t433)) (exists @t347 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t176) @t179) @t178) @t345)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t344) @t345) @t178) @t433))))))) % 6.41/6.69 (assume @p173 (forall (@list @t435 @t434) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t412 @t434) @t435) @t434)))) % 6.41/6.69 (assume @p174 (forall (@list @t73 @t261 @t2 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP @t437 @t73)) @t436))) % 6.41/6.69 (assume @p175 (forall @t438 (tptp.hBOOL (tptp.hAPP @t437 @t261)))) % 6.41/6.69 (assume @p176 (forall (@list @t73 @t51 @t261 @t2 @t74 @t8) (=> @t440 @t184))) % 6.41/6.69 (assume @p177 (forall (@list @t244 @t1 @t261 @t2 @t74 @t8) (=> @t390 (= (tptp.hAPP @t244 @t386) @t261)))) % 6.41/6.69 (assume @p178 (forall @t444 (=> @t353 (=> @t443 (tptp.hBOOL (tptp.hAPP @t442 @t441)))))) % 6.41/6.69 (assume @p179 (forall (@list @t116 @t18 @t117 @t281 @t8) (= (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t281 @t191) (forall @t197 (=> @t199 (forall @t288 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t429 @t193) @t281) @t285)) @t286))))))) % 6.41/6.69 (assume @p180 (forall @t406 (=> @t184 @t446))) % 6.41/6.69 (assume @p181 (forall @t406 (=> @t184 (and (=> @t323 (= @t445 @t403)) @t446)))) % 6.41/6.69 (assume @p182 (forall (@list @t346 @t178 @t179 @t176) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t177) @t179) (tptp.hAPP tptp.c_Nat_OSuc @t178)) @t346)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t385) @t179) @t178) @t346))))) % 6.41/6.69 (assume @p183 (forall @t406 (=> @t184 (= @t445 @t405)))) % 6.41/6.69 (assume @p184 (forall @t447 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t74 @t2 @t261 @t356) @t100)) (=> @t323 (tptp.hBOOL (tptp.hAPP @t439 @t441)))))) % 6.41/6.69 (assume @p185 (forall @t451 (= (tptp.hAPP @t450 @t115) @t2))) % 6.41/6.69 (assume @p186 (forall (@list @t276 @t336 @t279 @t82) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t84) @t279) @t336) @t276)) (not (forall @t430 (=> (= @t336 @t452) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t280) @t279) @t427) @t276))))))))) % 6.41/6.69 (assume @p187 (forall (@list @t58 @t74 @t8 @t13 @t378) (=> (= @t379 @t149) (= (tptp.c_Map_Oran @t74 @t8 @t426) (tptp.hAPP @t65 @t453))))) % 6.41/6.69 (assume @p188 (forall (@list @t378 @t74 @t454 @t73 @t8) (and (=> @t458 (= @t457 @t461)) (=> @t459 (= @t457 @t455))))) % 6.41/6.69 (assume @p189 (forall @t464 (=> @t458 @t463))) % 6.41/6.69 (assume @p190 (forall @t464 (and (=> @t458 (= @t466 @t462)) (=> @t459 (= @t466 @t455))))) % 6.41/6.69 (assume @p191 (forall @t406 (=> @t184 (and @t470 (=> @t353 (= @t404 @t403)))))) % 6.41/6.69 (assume @p192 (forall @t406 (=> @t184 @t470))) % 6.41/6.69 (assume @p193 (forall (@list @t100 @t73 @t51 @t8) (=> @t184 (=> @t323 (=> @t327 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 (tptp.hAPP @t402 (tptp.hAPP (tptp.hAPP @t309 @t356) @t471))) @t403))))))) % 6.41/6.69 (assume @p194 (forall @t406 (=> @t184 (=> @t323 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t404) @t403)))))) % 6.41/6.69 (assume @p195 (forall (@list @t178 @t179 @t176 @t2 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t475) @t178)) (exists @t401 (and (= @t475 @t270) (tptp.hBOOL (tptp.hAPP @t473 @t178)) (not @t400)))))) % 6.41/6.69 (assume @p196 (forall @t97 (=> @t478 (not (tptp.hBOOL (tptp.hAPP @t477 @t95)))))) % 6.41/6.69 (assume @p197 (forall @t485 (=> @t484 (= @t483 (or @t482 @t480))))) % 6.41/6.69 (assume @p198 (forall @t485 (=> @t484 (= @t486 (or @t480 @t328))))) % 6.41/6.69 (assume @p199 (forall @t491 (=> @t484 (or @t490 @t489 @t488)))) % 6.41/6.69 (assume @p200 (forall @t493 (=> @t484 (=> (not @t480) @t492)))) % 6.41/6.69 (assume @p201 (forall @t491 (=> @t484 @t496))) % 6.41/6.69 (assume @p202 (forall @t491 (=> @t497 (=> @t490 @t495)))) % 6.41/6.69 (assume @p203 (forall @t491 (=> @t478 (=> @t490 (not @t488))))) % 6.41/6.69 (assume @p204 (forall @t491 (=> @t497 (=> @t490 (not (= @t284 @t95)))))) % 6.41/6.69 (assume @p205 (forall @t502 (=> @t478 (=> @t501 (not @t499))))) % 6.41/6.69 (assume @p206 (forall @t503 (=> @t497 (=> @t499 (not @t501))))) % 6.41/6.69 (assume @p207 (forall @t508 (=> @t507 (=> @t506 (=> @t505 @t504))))) % 6.41/6.69 (assume @p208 (forall @t508 (=> @t497 (=> @t506 (=> (tptp.hBOOL (tptp.hAPP @t509 @t39)) @t510))))) % 6.41/6.69 (assume @p209 (forall @t508 (=> @t507 (=> @t501 (=> @t511 @t504))))) % 6.41/6.69 (assume @p210 (forall @t512 (=> @t497 (=> @t499 (=> @t511 @t510))))) % 6.41/6.69 (assume @p211 (forall @t516 (=> @t478 (=> @t490 @t515)))) % 6.41/6.69 (assume @p212 (forall @t520 (=> @t497 (=> @t488 @t519)))) % 6.41/6.69 (assume @p213 (forall @t491 (=> @t484 (=> @t494 (=> @t495 @t488))))) % 6.41/6.69 (assume @p214 (forall @t524 (= (tptp.hAPP @t522 @t337) (tptp.hAPP (tptp.hAPP @t468 @t523) @t336)))) % 6.41/6.69 (assume @p215 (forall @t528 @t527)) % 6.41/6.69 (assume @p216 (forall @t528 @t529)) % 6.41/6.69 (assume @p217 (forall @t531 (= (tptp.c_Map_Orestrict__map @t8 @t74 @t2 @t54) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 (tptp.c_Map_Orestrict__map @t8 @t74 @t2 @t51)) @t13) @t530)))) % 6.41/6.69 (assume @p218 (forall (@list @t8 @t74 @t100 @t73 @t2) (=> @t533 (= @t532 @t2)))) % 6.41/6.69 (assume @p219 (forall @t539 @t538)) % 6.41/6.69 (assume @p220 (forall (@list @t60 @t58 @t378 @t74 @t8 @t18 @t13) (=> (not @t62) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t448 (tptp.hAPP (tptp.hAPP @t540 @t13) @t58)) @t18) @t60) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t448 (tptp.hAPP (tptp.hAPP @t540 @t18) @t60)) @t13) @t58))))) % 6.41/6.69 (assume @p221 (forall @t539 (and (=> @t537 (= @t536 @t100)) @t538))) % 6.41/6.69 (assume @p222 (forall (@list @t100 @t73 @t2 @t8 @t74) (= (tptp.hAPP @t532 @t73) @t100))) % 6.41/6.69 (assume @p223 (forall @t541 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t448 @t535) @t73) @t261) (tptp.hAPP @t450 @t261)))) % 6.41/6.69 (assume @p224 (forall @t542 (= (= @t535 @t2) @t533))) % 6.41/6.69 (assume @p225 (forall @t384 (=> @t383 (tptp.hBOOL (tptp.hAPP @t329 @t453))))) % 6.41/6.69 (assume @p226 (forall (@list @t100 @t73 @t454 @t378 @t74 @t8) @t463)) % 6.41/6.69 (assume @p227 (forall @t373 (=> @t184 (=> @t299 (=> @t307 (= (tptp.hAPP @t402 @t372) (tptp.hAPP (tptp.hAPP @t468 @t543) @t467))))))) % 6.41/6.69 (assume @p228 (forall @t524 (=> @t548 @t546))) % 6.41/6.69 (assume @p229 (forall @t550 (tptp.hBOOL (tptp.hAPP @t549 @t337)))) % 6.41/6.69 (assume @p230 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t468 @t337) @t467) @t336))) % 6.41/6.69 (assume @p231 (forall @t524 (tptp.hBOOL (tptp.hAPP @t552 @t544)))) % 6.41/6.69 (assume @p232 (forall @t406 (=> @t184 (=> @t323 (= @t403 @t555))))) % 6.41/6.69 (assume @p233 (forall @t560 (=> @t548 (=> (tptp.hBOOL (tptp.hAPP @t547 @t556)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t559) @t558)))))) % 6.41/6.69 (assume @p234 (forall (@list @t336 @t561 @t562) (=> @t565 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 (tptp.hAPP @t563 @t336)) @t561))))) % 6.41/6.69 (assume @p235 (forall @t568 (= (tptp.hAPP (tptp.hAPP @t468 @t567) (tptp.hAPP tptp.c_Nat_OSuc @t561)) (tptp.hAPP (tptp.hAPP @t468 @t551) @t561)))) % 6.41/6.69 (assume @p236 (forall @t524 (= (tptp.hAPP @t566 @t337) @t551))) % 6.41/6.69 (assume @p237 (forall @t524 (=> @t546 @t548))) % 6.41/6.69 (assume @p238 (forall @t524 (=> @t569 @t548))) % 6.41/6.69 (assume @p239 (forall @t524 (= @t573 @t571))) % 6.41/6.69 (assume @p240 (forall @t577 (= (tptp.hAPP @t574 @t576) (tptp.hAPP @t575 (tptp.hAPP @t574 @t513))))) % 6.41/6.69 (assume @p241 (forall @t568 (= (tptp.hAPP (tptp.hAPP @t553 @t573) @t561) (tptp.hAPP @t572 @t578)))) % 6.41/6.69 (assume @p242 (forall @t583 (= (= @t582 @t581) @t579))) % 6.41/6.69 (assume @p243 (forall @t588 (= (= @t587 @t585) @t579))) % 6.41/6.69 (assume @p244 (forall @t524 (= @t590 @t589))) % 6.41/6.69 (assume @p245 (forall @t524 (= @t591 @t589))) % 6.41/6.69 (assume @p246 (forall @t524 (= @t591 @t590))) % 6.41/6.69 (assume @p247 (forall @t596 (not (tptp.hBOOL (tptp.hAPP @t595 @t592))))) % 6.41/6.69 (assume @p248 (forall @t599 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t598) @t592))))) % 6.41/6.69 (assume @p249 (forall @t583 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t582) @t581)) @t601))) % 6.41/6.69 (assume @p250 (forall @t605 (=> @t604 (tptp.hBOOL (tptp.hAPP @t603 @t602))))) % 6.41/6.69 (assume @p251 (forall @t605 (=> @t604 (tptp.hBOOL (tptp.hAPP @t603 @t606))))) % 6.41/6.69 (assume @p252 (forall @t610 (=> @t604 (tptp.hBOOL (tptp.hAPP @t609 @t607))))) % 6.41/6.69 (assume @p253 (forall @t614 (=> @t604 (=> @t613 (tptp.hBOOL (tptp.hAPP @t609 @t611)))))) % 6.41/6.69 (assume @p254 (forall (@list @t336 @t521 @t556 @t561) (=> @t613 (=> (= (tptp.hAPP @t572 @t556) @t616) @t548)))) % 6.41/6.69 (assume @p255 (forall @t610 (=> (tptp.hBOOL (tptp.hAPP @t595 @t561)) (tptp.hBOOL (tptp.hAPP @t603 @t561))))) % 6.41/6.69 (assume @p256 (forall @t524 (= (tptp.hAPP (tptp.hAPP @t468 @t573) @t336) @t521))) % 6.41/6.69 (assume @p257 (forall @t618 (= (tptp.hAPP @t617 @t336) @t521))) % 6.41/6.69 (assume @p258 (forall @t610 (= @t621 (tptp.hAPP @t619 @t607)))) % 6.41/6.69 (assume @p259 (forall @t623 (= (tptp.hAPP (tptp.hAPP @t468 @t622) @t616) @t551))) % 6.41/6.69 (assume @p260 (forall @t626 (= (tptp.hAPP @t625 @t578) @t551))) % 6.41/6.69 (assume @p261 (forall @t630 (=> @t629 @t314))) % 6.41/6.69 (assume @p262 (forall @t243 (not (tptp.hBOOL (tptp.hAPP @t628 @t56))))) % 6.41/6.69 (assume @p263 (forall @t634 (= @t601 (exists @t633 (= @t281 (tptp.hAPP tptp.c_Nat_OSuc @t632)))))) % 6.41/6.69 (assume @p264 (forall @t635 (tptp.hBOOL (tptp.hAPP @t603 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t572 @t592)))))) % 6.41/6.69 (assume @p265 (forall @t635 (tptp.hBOOL (tptp.hAPP @t603 (tptp.hAPP tptp.c_Nat_OSuc @t636))))) % 6.41/6.69 (assume @p266 (forall @t644 (= (tptp.hBOOL (tptp.hAPP @t643 @t642)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t640) @t637))))) % 6.41/6.69 (assume @p267 (forall @t524 (=> @t646 @t645))) % 6.41/6.69 (assume @p268 (forall @t550 (= @t337 @t647))) % 6.41/6.69 (assume @p269 (forall @t550 (= @t337 @t648))) % 6.41/6.69 (assume @p270 (forall @t362 (=> @t361 (=> @t629 @t650)))) % 6.41/6.69 (assume @p271 (forall @t550 (not (= @t336 @t337)))) % 6.41/6.69 (assume @p272 (forall @t550 (not (= @t337 @t336)))) % 6.41/6.69 (assume @p273 (forall (@list @t651 @t652) (= (= @t653 (tptp.hAPP tptp.c_Nat_OSuc @t651)) (= @t652 @t651)))) % 6.41/6.69 (assume @p274 (forall @t654 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t95) (tptp.hAPP tptp.c_Nat_OSuc @t284)) @t489))) % 6.41/6.69 (assume @p275 (forall @t550 (not (tptp.hBOOL (tptp.hAPP @t549 @t336))))) % 6.41/6.69 (assume @p276 (forall @t634 (= @t657 (or @t601 @t656)))) % 6.41/6.69 (assume @p277 (forall @t654 (=> @t495 (=> (not @t659) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t284) @t95)))))) % 6.41/6.69 (assume @p278 (forall @t618 (=> @t662 @t661))) % 6.41/6.69 (assume @p279 (forall @t322 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t279) @t318)) (not (= @t279 @t318))))) % 6.41/6.69 (assume @p280 (forall (@list @t117 @t281 @t378) (=> (=> @t601 @t664) (=> (=> @t579 @t664) (=> (=> @t656 @t664) @t664))))) % 6.41/6.69 (assume @p281 (forall @t610 (= @t621 (tptp.hAPP (tptp.hAPP @t468 (tptp.hAPP @t619 @t561)) @t562)))) % 6.41/6.69 (assume @p282 (forall @t406 (=> @t184 (=> @t353 (= @t445 (tptp.hAPP @t554 @t403)))))) % 6.41/6.69 (assume @p283 (forall @t406 (=> @t184 (= @t445 @t555)))) % 6.41/6.69 (assume @p284 (forall @t634 (= (not @t601) @t666))) % 6.41/6.69 (assume @p285 (forall @t634 (= @t668 @t667))) % 6.41/6.69 (assume @p286 (forall @t634 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t665) @t282)) @t601))) % 6.41/6.69 (assume @p287 (forall @t672 (=> @t671 @t670))) % 6.41/6.69 (assume @p288 (forall @t618 (=> (not @t662) (=> (tptp.hBOOL (tptp.hAPP @t549 @t544)) @t660)))) % 6.41/6.69 (assume @p289 (forall @t524 (=> @t548 @t673))) % 6.41/6.69 (assume @p290 (forall @t524 (=> @t548 (=> (not (= @t544 @t336)) @t569)))) % 6.41/6.69 (assume @p291 (forall @t610 (=> @t604 (=> @t565 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t674) @t561)))))) % 6.41/6.69 (assume @p292 (forall @t524 (=> @t673 (=> @t646 @t660)))) % 6.41/6.69 (assume @p293 (forall @t680 (=> @t679 (tptp.hBOOL (tptp.hAPP @t500 @t678))))) % 6.41/6.69 (assume @p294 (forall @t577 (=> @t659 @t681))) % 6.41/6.69 (assume @p295 (forall @t682 (=> (tptp.hBOOL (tptp.hAPP @t658 @t513)) @t681))) % 6.41/6.69 (assume @p296 (forall @t502 (=> @t685 (= (tptp.hAPP (tptp.hAPP @t676 @t684) @t39) @t348)))) % 6.41/6.69 (assume @p297 (forall @t502 (=> @t685 (= (tptp.hAPP @t687 @t39) @t348)))) % 6.41/6.69 (assume @p298 (forall @t68 (=> @t694 (=> @t693 (= @t691 @t689))))) % 6.41/6.69 (assume @p299 (forall @t700 (=> @t699 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t698) @t696)) @t691)))) % 6.41/6.69 (assume @p300 (forall @t704 (=> @t699 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t703) @t702)) @t691)))) % 6.41/6.69 (assume @p301 (forall @t508 (=> @t710 (=> @t501 @t709)))) % 6.41/6.69 (assume @p302 (forall @t508 (=> @t710 (=> @t501 @t714)))) % 6.41/6.69 (assume @p303 (forall @t720 (=> @t710 (=> @t501 @t719)))) % 6.41/6.69 (assume @p304 (forall @t724 (=> @t629 @t723))) % 6.41/6.69 (assume @p305 (forall @t491 (=> @t725 @t496))) % 6.41/6.69 (assume @p306 (forall @t512 (=> @t727 (=> (= @t726 @t713) @t511)))) % 6.41/6.69 (assume @p307 (forall @t508 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t8) @t728))) % 6.41/6.69 (assume @p308 (forall @t508 (=> @t727 @t728))) % 6.41/6.69 (assume @p309 (forall (@list @t18 @t13 @t58 @t8) (=> @t727 (= (= @t729 @t703) @t59)))) % 6.41/6.69 (assume @p310 (forall @t731 (=> @t727 (= (= @t730 @t698) @t59)))) % 6.41/6.69 (assume @p311 (forall @t508 (=> @t735 @t734))) % 6.41/6.69 (assume @p312 (forall @t68 (=> @t737 (=> @t693 (= @t69 @t736))))) % 6.41/6.69 (assume @p313 (forall @t89 (=> (tptp.class_Groups_Oone @t8) (= (= @t675 @t73) @t738)))) % 6.41/6.69 (assume @p314 (forall @t739 (=> @t699 (=> @t714 @t501)))) % 6.41/6.69 (assume @p315 (forall @t740 (=> @t699 (=> @t709 @t501)))) % 6.41/6.69 (assume @p316 (forall (@list @t51 @t378 @t74 @t100 @t8) (=> (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Map_Oran @t74 @t8 (tptp.c_Map_Orestrict__map @t74 @t8 @t378 @t51)))) (exists @t7 (and @t742 (= (tptp.hAPP @t378 @t3) @t114)))))) % 6.41/6.69 (assume @p317 (forall (@list @t73 @t138 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t743) @t73)) (not (forall @t401 (=> (= @t743 @t270) (=> (tptp.hBOOL (tptp.hAPP @t473 @t73)) @t400))))))) % 6.41/6.69 (assume @p318 (forall @t748 (= (tptp.hBOOL (tptp.hAPP @t628 @t370)) (and (=> @t325 @t629) (=> @t342 (and (=> @t323 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t356) @t289))) @t747)))))) % 6.41/6.69 (assume @p319 (forall (@list @t100 @t73 @t378 @t74 @t8) (= (tptp.c_Map_Orestrict__map @t8 @t74 @t751 @t750) (tptp.c_Map_Orestrict__map @t8 @t74 @t378 @t750)))) % 6.41/6.69 (assume @p320 (forall @t451 (= (tptp.c_Map_Orestrict__map @t8 @t74 @t2 @t750) (tptp.hAPP @t752 @t159)))) % 6.41/6.69 (assume @p321 (forall @t406 (=> @t184 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t404) @t403))))) % 6.41/6.69 (assume @p322 (forall (@list @t13 @t73 @t51 @t58 @t8) (=> @t757 (=> (tptp.hBOOL (tptp.hAPP @t756 @t73)) (=> @t299 (=> @t755 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t754 @t13 (tptp.hAPP @t65 @t354)) @t73)))))))) % 6.41/6.69 (assume @p323 (forall @t766 (=> @t184 (=> @t765 @t764)))) % 6.41/6.69 (assume @p324 (forall (@list @t767 @t770 @t769 @t74 @t378 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t771 (tptp.c_Map_Odom @t8 @t74 @t769)))) (= (tptp.c_Map_Omap__add @t8 @t74 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 @t770) @t378) @t768) @t769) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 (tptp.c_Map_Omap__add @t8 @t74 @t770 @t769)) @t378) @t768))))) % 6.41/6.69 (assume @p325 (forall (@list @t117 @t244 @t8) (=> @t776 (=> @t398 (=> (forall (@list @t3 @t773) (=> @t775 (=> (not (tptp.hBOOL (tptp.hAPP @t137 @t773))) (=> @t774 (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t393 @t773))))))) @t772))))) % 6.41/6.69 (assume @p326 (forall @t97 (=> @t478 (tptp.hBOOL (tptp.hAPP @t778 @t95))))) % 6.41/6.69 (assume @p327 (forall @t316 (=> @t746 (=> @t780 @t297)))) % 6.41/6.69 (assume @p328 (forall @t630 (=> @t746 @t314))) % 6.41/6.69 (assume @p329 (forall @t243 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t56) @t51)))) % 6.41/6.69 (assume @p330 (forall @t783 (=> @t293 @t782))) % 6.41/6.69 (assume @p331 (forall @t502 (=> @t694 (=> @t788 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t786) @t785)))))) % 6.41/6.69 (assume @p332 (forall @t71 (=> (tptp.class_Rings_Oidom @t8) (= (= (tptp.hAPP @t792 @t13) (tptp.hAPP @t791 @t58)) (or @t69 @t790))))) % 6.41/6.69 (assume @p333 (forall @t508 (=> @t757 (= (tptp.hAPP (tptp.hAPP @t754 @t796) @t333) (tptp.hAPP @t795 @t794))))) % 6.41/6.69 (assume @p334 (forall @t377 (=> @t694 (= (tptp.hBOOL (tptp.hAPP @t800 @t799)) @t798)))) % 6.41/6.69 (assume @p335 (forall @t502 (=> @t802 (= (tptp.hAPP @t801 @t786) @t796)))) % 6.41/6.69 (assume @p336 (forall @t71 (=> @t685 (= (= @t799 @t789) @t69)))) % 6.41/6.69 (assume @p337 (forall @t71 (=> @t694 (= @t804 (tptp.hBOOL (tptp.hAPP @t800 @t13)))))) % 6.41/6.69 (assume @p338 (forall @t71 (=> @t685 (= (= @t799 @t58) (= @t789 @t13))))) % 6.41/6.69 (assume @p339 (forall @t502 (=> @t802 (= @t806 @t805)))) % 6.41/6.69 (assume @p340 (forall @t71 (=> @t694 (= (tptp.hBOOL (tptp.hAPP @t797 @t789)) (tptp.hBOOL (tptp.hAPP @t807 @t799)))))) % 6.41/6.69 (assume @p341 (forall @t71 (=> @t685 (= @t790 (= @t58 @t799))))) % 6.41/6.69 (assume @p342 (forall @t502 (=> @t802 (= @t808 @t806)))) % 6.41/6.69 (assume @p343 (forall @t502 (=> @t802 (= @t808 @t805)))) % 6.41/6.69 (assume @p344 (forall @t680 (=> @t685 (= (tptp.hAPP @t784 @t785) @t348)))) % 6.41/6.69 (assume @p345 (forall @t89 (=> @t812 (= (= @t811 @t675) (or @t738 (= @t73 @t809)))))) % 6.41/6.69 (assume @p346 (forall (@list @t813 @t206 @t203 @t74 @t8) (= (tptp.c_Map_Omap__add @t8 @t74 @t203 (tptp.c_Map_Omap__add @t8 @t74 @t206 @t813)) (tptp.c_Map_Omap__add @t8 @t74 @t814 @t813)))) % 6.41/6.69 (assume @p347 (forall @t491 (=> @t484 (=> (not @t817) @t816)))) % 6.41/6.69 (assume @p348 (forall (@list @t73 @t1 @t2 @t8 @t74) (=> @t822 (=> @t821 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t818 @t115) @t253)))))) % 6.41/6.69 (assume @p349 (forall @t823 (=> @t297 (not (=> @t746 (not @t780)))))) % 6.41/6.69 (assume @p350 (forall @t520 (=> @t497 (=> @t816 (=> @t826 @t825))))) % 6.41/6.69 (assume @p351 (forall @t827 (=> @t497 (=> @t816 (=> @t817 @t489))))) % 6.41/6.69 (assume @p352 (forall @t516 (=> @t478 (=> @t817 (=> @t829 @t828))))) % 6.41/6.69 (assume @p353 (forall @t491 (=> @t497 (=> @t817 (=> @t816 @t489))))) % 6.41/6.69 (assume @p354 (forall @t512 (=> @t497 (=> @t833 (=> @t511 @t831))))) % 6.41/6.69 (assume @p355 (forall @t508 (=> @t507 (=> @t788 (=> @t511 @t834))))) % 6.41/6.69 (assume @p356 (forall @t724 (=> @t746 (=> @t836 @t835)))) % 6.41/6.69 (assume @p357 (forall @t508 (=> @t497 (=> @t506 (=> (tptp.hBOOL (tptp.hAPP @t830 @t39)) @t831))))) % 6.41/6.69 (assume @p358 (forall @t508 (=> @t507 (=> @t506 (=> @t837 @t834))))) % 6.41/6.69 (assume @p359 (forall @t493 (=> @t497 (=> @t842 @t840)))) % 6.41/6.69 (assume @p360 (forall @t316 (=> @t746 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t843) @t781))))) % 6.41/6.69 (assume @p361 (forall @t491 (=> @t478 (=> @t489 @t817)))) % 6.41/6.69 (assume @p362 (forall @t823 (=> @t297 @t780))) % 6.41/6.69 (assume @p363 (forall @t823 (=> @t297 @t746))) % 6.41/6.69 (assume @p364 (forall @t316 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t781) @t843)) @t780))) % 6.41/6.69 (assume @p365 (forall @t316 (= (= @t781 @t843) @t297))) % 6.41/6.69 (assume @p366 (forall @t485 (=> @t497 (= @t328 (and @t839 @t842))))) % 6.41/6.69 (assume @p367 (forall @t823 (= @t297 (and @t746 @t780)))) % 6.41/6.69 (assume @p368 (forall @t491 (=> @t484 (or @t817 @t816)))) % 6.41/6.69 (assume @p369 (forall @t845 (=> @t822 (= @t821 (forall @t7 @t844))))) % 6.41/6.69 (assume @p370 (forall @t243 (= (tptp.hAPP @t749 @t781) @t51))) % 6.41/6.69 (assume @p371 (forall @t243 (tptp.hBOOL (tptp.hAPP @t745 @t51)))) % 6.41/6.69 (assume @p372 (forall @t491 (=> @t848 (=> @t817 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t847) @t846)))))) % 6.41/6.69 (assume @p373 (forall @t485 (=> @t848 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t850) @t849)) @t842)))) % 6.41/6.69 (assume @p374 (forall @t485 (=> @t848 (= (= @t850 @t849) @t328)))) % 6.41/6.69 (assume @p375 (forall @t502 (=> @t851 (= (tptp.hAPP @t795 @t796) @t796)))) % 6.41/6.69 (assume @p376 (forall (@list @t73 @t51 @t74 @t8) (=> (tptp.class_Groups_Ouminus @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t75) @t51) @t73) (tptp.hAPP @t784 @t98))))) % 6.41/6.69 (assume @p377 (forall @t97 (=> @t851 (= @t853 @t95)))) % 6.41/6.69 (assume @p378 (forall @t680 (=> @t851 (= @t854 @t348)))) % 6.41/6.69 (assume @p379 (forall @t97 (=> @t848 (= (tptp.hAPP @t784 @t846) @t95)))) % 6.41/6.69 (assume @p380 (forall @t614 (=> @t863 (=> @t861 (tptp.hBOOL (tptp.hAPP @t859 (tptp.hAPP @t856 @t556))))))) % 6.41/6.69 (assume @p381 (forall @t524 (=> @t867 (=> @t865 @t660)))) % 6.41/6.69 (assume @p382 (forall @t610 (=> @t863 (=> (tptp.hBOOL (tptp.hAPP @t868 @t561)) (tptp.hBOOL (tptp.hAPP @t862 @t561)))))) % 6.41/6.69 (assume @p383 (forall @t610 (=> @t863 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t871) @t870))))) % 6.41/6.69 (assume @p384 (forall @t610 (=> @t863 (tptp.hBOOL (tptp.hAPP @t859 @t872))))) % 6.41/6.69 (assume @p385 (forall @t524 (=> @t660 @t867))) % 6.41/6.69 (assume @p386 (forall @t524 (or @t867 @t865))) % 6.41/6.69 (assume @p387 (forall @t875 (tptp.hBOOL (tptp.hAPP @t866 (tptp.hAPP @t873 @t874))))) % 6.41/6.69 (assume @p388 (forall @t875 (tptp.hBOOL (tptp.hAPP @t866 @t874)))) % 6.41/6.69 (assume @p389 (forall @t550 (tptp.hBOOL (tptp.hAPP @t864 @t336)))) % 6.41/6.69 (assume @p390 (forall @t243 (= (tptp.hBOOL (tptp.hAPP @t745 @t781)) @t248))) % 6.41/6.69 (assume @p391 (forall @t583 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t881) @t880)) @t877))) % 6.41/6.69 (assume @p392 (forall @t888 (=> @t887 (= @t886 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t883) @t60)))))) % 6.41/6.69 (assume @p393 (forall @t888 (=> @t887 (= @t886 (tptp.hBOOL (tptp.hAPP @t890 @t889)))))) % 6.41/6.69 (assume @p394 (forall @t362 (=> @t361 (=> @t746 (tptp.hBOOL (tptp.hAPP @t891 @t649)))))) % 6.41/6.69 (assume @p395 (forall @t362 (=> @t361 (=> @t746 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t649) @t403)) @t297))))) % 6.41/6.69 (assume @p396 (forall @t71 (=> @t694 (= (tptp.hBOOL (tptp.hAPP @t690 @t789)) (tptp.hBOOL (tptp.hAPP @t892 @t799)))))) % 6.41/6.69 (assume @p397 (forall @t71 (=> @t694 (= @t895 (tptp.hBOOL (tptp.hAPP @t893 @t13)))))) % 6.41/6.69 (assume @p398 (forall @t377 (=> @t694 (= (tptp.hBOOL (tptp.hAPP @t893 @t799)) @t691)))) % 6.41/6.69 (assume @p399 (forall @t502 (=> @t737 (= @t897 (tptp.hAPP @t896 @t786))))) % 6.41/6.69 (assume @p400 (forall @t502 (=> @t685 (= @t897 (tptp.hAPP (tptp.hAPP @t676 @t786) @t785))))) % 6.41/6.69 (assume @p401 (forall @t502 (=> @t685 (= (tptp.hAPP @t677 (tptp.hAPP @t896 @t39)) @t39)))) % 6.41/6.69 (assume @p402 (forall @t502 (=> @t685 (= (tptp.hAPP @t896 @t686) @t39)))) % 6.41/6.69 (assume @p403 (forall @t783 (=> @t782 @t293))) % 6.41/6.69 (assume @p404 (forall @t783 (= @t782 @t293))) % 6.41/6.69 (assume @p405 (forall @t502 (=> @t737 (= (tptp.hAPP @t784 @t684) @t899)))) % 6.41/6.69 (assume @p406 (forall @t508 (=> (tptp.class_Rings_Ocomm__semiring @t8) @t902))) % 6.41/6.69 (assume @p407 (forall (@list @t333 @t39 @t903 @t348 @t8) (=> (tptp.class_Rings_Osemiring @t8) (= (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t795 @t903)) (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t793 @t903)) @t333)) (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t901 @t903)) @t333))))) % 6.41/6.69 (assume @p408 (forall @t520 (=> @t497 (=> @t816 @t519)))) % 6.41/6.69 (assume @p409 (forall @t516 (=> @t478 (=> @t817 @t515)))) % 6.41/6.69 (assume @p410 (forall @t520 (=> @t497 (=> @t488 (=> @t826 @t518))))) % 6.41/6.69 (assume @p411 (forall @t516 (=> @t478 (=> @t490 (=> @t829 @t514))))) % 6.41/6.69 (assume @p412 (forall @t503 (=> @t497 (=> @t833 (=> @t904 @t499))))) % 6.41/6.69 (assume @p413 (forall @t502 (=> @t497 (=> @t788 (=> @t904 @t501))))) % 6.41/6.69 (assume @p414 (forall @t491 (=> @t497 (=> @t817 (or @t490 @t489))))) % 6.41/6.69 (assume @p415 (forall @t485 (=> @t484 (=> @t839 @t492)))) % 6.41/6.69 (assume @p416 (forall @t491 (=> @t478 (=> @t490 @t817)))) % 6.41/6.69 (assume @p417 (forall @t827 (=> @t484 (=> @t816 @t494)))) % 6.41/6.69 (assume @p418 (forall @t502 (=> @t497 (=> @t904 (=> @t833 @t499))))) % 6.41/6.69 (assume @p419 (forall @t502 (=> @t497 (=> @t904 (=> @t788 @t501))))) % 6.41/6.69 (assume @p420 (forall @t485 (=> @t484 (=> @t486 @t840)))) % 6.41/6.69 (assume @p421 (forall @t827 (=> @t484 (=> (not @t816) @t490)))) % 6.41/6.69 (assume @p422 (forall @t491 (=> @t484 (=> @t494 @t816)))) % 6.41/6.69 (assume @p423 (forall @t485 (=> @t497 (= @t839 (or @t482 @t328))))) % 6.41/6.69 (assume @p424 (forall @t485 (=> @t478 (= @t482 (and @t839 (not @t842)))))) % 6.41/6.69 (assume @p425 (forall @t485 (=> @t497 (= @t482 (and @t839 @t483))))) % 6.41/6.69 (assume @p426 (forall @t491 (=> @t484 (or @t817 @t488)))) % 6.41/6.69 (assume @p427 (forall @t485 (=> @t484 (= (not @t839) @t480)))) % 6.41/6.69 (assume @p428 (forall @t485 (=> @t484 (= @t486 @t842)))) % 6.41/6.69 (assume @p429 (forall @t905 (=> @t746 (=> @t323 @t325)))) % 6.41/6.69 (assume @p430 (forall @t371 (=> @t323 (=> @t746 @t325)))) % 6.41/6.69 (assume @p431 (forall @t700 (=> @t699 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t698) @t696)) @t798)))) % 6.41/6.69 (assume @p432 (forall @t704 (=> @t699 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t703) @t702)) @t798)))) % 6.41/6.69 (assume @p433 (forall @t508 (=> @t908 (=> @t788 @t907)))) % 6.41/6.69 (assume @p434 (forall @t508 (=> @t908 (=> @t788 @t909)))) % 6.41/6.69 (assume @p435 (forall @t720 (=> @t908 (=> @t788 (=> @t910 (tptp.hBOOL (tptp.hAPP @t906 @t716))))))) % 6.41/6.69 (assume @p436 (forall @t740 (=> @t699 (=> @t907 @t788)))) % 6.41/6.69 (assume @p437 (forall @t739 (=> @t699 (=> @t909 @t788)))) % 6.41/6.69 (assume @p438 (forall @t680 (=> @t912 @t911))) % 6.41/6.69 (assume @p439 (forall @t680 (=> @t913 @t911))) % 6.41/6.69 (assume @p440 (forall @t680 (=> @t912 @t914))) % 6.41/6.69 (assume @p441 (forall @t680 (=> @t913 @t914))) % 6.41/6.69 (assume @p442 (forall @t97 (=> @t76 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t72) @t95))))) % 6.41/6.69 (assume @p443 (forall @t68 (=> @t694 (=> @t693 (= @t798 @t915))))) % 6.41/6.69 (assume @p444 (forall @t243 (= (tptp.hBOOL (tptp.hAPP @t745 @t56)) @t248))) % 6.41/6.69 (assume @p445 (forall @t583 (= (= @t881 @t880) @t579))) % 6.41/6.69 (assume @p446 (forall @t362 (=> @t361 (=> @t746 @t184)))) % 6.41/6.69 (assume @p447 (forall @t316 (=> @t746 (=> @t361 @t184)))) % 6.41/6.69 (assume @p448 (forall (@list @t13 @t454 @t721 @t8) (=> (tptp.hBOOL (tptp.hAPP @t916 @t454)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP @t53 @t721)) (tptp.hAPP @t53 @t454)))))) % 6.41/6.69 (assume @p449 (forall (@list @t58 @t289 @t51 @t8) (=> @t746 (tptp.hBOOL (tptp.hAPP @t745 @t304))))) % 6.41/6.69 (assume @p450 (forall (@list @t13 @t289 @t8) (tptp.hBOOL (tptp.hAPP @t779 @t367)))) % 6.41/6.69 (assume @p451 (forall @t623 (= (tptp.hAPP @t869 @t573) (tptp.hAPP (tptp.hAPP @t553 @t918) @t917)))) % 6.41/6.69 (assume @p452 (forall @t568 (= (tptp.hAPP (tptp.hAPP @t855 @t573) @t561) (tptp.hAPP (tptp.hAPP @t553 @t921) @t920)))) % 6.41/6.69 (assume @p453 (forall @t550 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t337) @t336))))) % 6.41/6.69 (assume @p454 (forall @t634 (= @t924 @t923))) % 6.41/6.69 (assume @p455 (forall @t634 (= @t925 (or @t877 (= @t378 @t282))))) % 6.41/6.69 (assume @p456 (forall @t672 (= (tptp.hBOOL (tptp.hAPP @t922 @t665)) @t927))) % 6.41/6.69 (assume @p457 (forall @t524 (=> @t867 @t928))) % 6.41/6.69 (assume @p458 (forall @t524 (=> @t928 (=> (not @t867) (= @t521 @t337))))) % 6.41/6.69 (assume @p459 (forall @t524 (=> @t929 @t867))) % 6.41/6.69 (assume @p460 (forall @t634 (= @t601 (and @t877 @t657)))) % 6.41/6.69 (assume @p461 (forall @t634 (= @t877 @t667))) % 6.41/6.69 (assume @p462 (forall @t524 (=> @t548 @t867))) % 6.41/6.69 (assume @p463 (forall @t524 (=> @t867 (=> @t661 @t548)))) % 6.41/6.69 (assume @p464 (forall @t524 (=> (or @t548 @t660) @t867))) % 6.41/6.69 (assume @p465 (forall @t654 (=> @t659 @t931))) % 6.41/6.69 (assume @p466 (forall @t618 (tptp.hBOOL (tptp.hAPP @t864 @t573)))) % 6.41/6.69 (assume @p467 (forall @t618 (tptp.hBOOL (tptp.hAPP @t864 @t571)))) % 6.41/6.69 (assume @p468 (forall @t634 (= @t877 (exists @t633 (= @t281 @t632))))) % 6.41/6.69 (assume @p469 (forall @t583 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t582) @t581)) @t877))) % 6.41/6.69 (assume @p470 (forall @t605 (=> @t863 (tptp.hBOOL (tptp.hAPP @t862 @t602))))) % 6.41/6.69 (assume @p471 (forall @t605 (=> @t863 (tptp.hBOOL (tptp.hAPP @t862 @t606))))) % 6.41/6.69 (assume @p472 (forall @t610 (=> @t863 (tptp.hBOOL (tptp.hAPP @t932 @t607))))) % 6.41/6.69 (assume @p473 (forall @t614 (=> @t863 (=> @t861 (tptp.hBOOL (tptp.hAPP @t932 @t611)))))) % 6.41/6.69 (assume @p474 (forall @t626 (=> @t934 @t933))) % 6.41/6.69 (assume @p475 (forall @t626 (=> @t934 @t867))) % 6.41/6.69 (assume @p476 (forall @t626 (=> @t934 (not (=> @t867 (not @t933)))))) % 6.41/6.69 (assume @p477 (forall @t577 (=> @t931 @t935))) % 6.41/6.69 (assume @p478 (forall @t682 (=> (tptp.hBOOL (tptp.hAPP @t930 @t513)) @t935))) % 6.41/6.69 (assume @p479 (forall @t623 (= (tptp.hAPP @t869 @t551) (tptp.hAPP (tptp.hAPP @t468 @t918) @t917)))) % 6.41/6.69 (assume @p480 (forall @t568 (= (tptp.hAPP (tptp.hAPP @t855 @t551) @t561) (tptp.hAPP (tptp.hAPP @t468 @t921) @t920)))) % 6.41/6.69 (assume @p481 (forall @t724 (=> @t746 (=> @t836 (= (tptp.hAPP @t937 (tptp.hAPP @t936 @t51)) @t51))))) % 6.41/6.69 (assume @p482 (forall (@list @t289 @t454 @t721 @t51 @t8) (=> @t835 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t454) @t289)) (tptp.hBOOL (tptp.hAPP @t938 (tptp.hAPP @t936 @t454))))))) % 6.41/6.69 (assume @p483 (forall @t316 (tptp.hBOOL (tptp.hAPP @t938 @t51)))) % 6.41/6.69 (assume @p484 (forall @t524 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t551) @t521)))) % 6.41/6.69 (assume @p485 (forall @t560 (=> @t867 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t559) @t558))))) % 6.41/6.69 (assume @p486 (forall @t560 (=> @t867 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 (tptp.hAPP @t522 @t556)) (tptp.hAPP @t939 @t556)))))) % 6.41/6.69 (assume @p487 (forall @t941 (=> (tptp.hBOOL (tptp.hAPP @t862 @t336)) (= (tptp.hAPP @t939 @t940) @t592)))) % 6.41/6.69 (assume @p488 (forall @t583 (=> @t948 (=> @t947 (= (= @t945 @t943) @t579))))) % 6.41/6.69 (assume @p489 (forall @t623 (=> (tptp.hBOOL (tptp.hAPP @t860 @t521)) (=> @t933 (= (tptp.hAPP (tptp.hAPP @t468 (tptp.hAPP @t522 @t561)) (tptp.hAPP @t939 @t561)) @t551))))) % 6.41/6.69 (assume @p490 (forall @t583 (=> @t948 (=> @t947 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t945) @t943)) @t877))))) % 6.41/6.69 (assume @p491 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t855 @t467) @t336) @t336))) % 6.41/6.69 (assume @p492 (forall @t634 (= (= @t467 @t951) @t949))) % 6.41/6.69 (assume @p493 (forall @t550 (= (tptp.hAPP @t919 @t467) @t336))) % 6.41/6.69 (assume @p494 (forall @t634 (= (= @t951 @t467) @t949))) % 6.41/6.69 (assume @p495 (forall @t845 (=> @t822 (= @t952 (and @t821 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t820 @t1) @t2)))))))) % 6.41/6.69 (assume @p496 (forall (@list @t521 @t318 @t336 @t279 @t333) (=> @t432 (=> @t865 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t415 @t521) @t318)))))) % 6.41/6.69 (assume @p497 (forall @t32 (=> @t31 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t953 @t30) @t12)) @t29)))) % 6.41/6.69 (assume @p498 (forall (@list @t28 @t954 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t954) (=> (tptp.hBOOL (tptp.hAPP @t955 @t954)) @t29)))) % 6.41/6.69 (assume @p499 (forall (@list @t12 @t28 @t8) (=> (tptp.hBOOL (tptp.hAPP @t955 @t12)) @t29))) % 6.41/6.69 (assume @p500 (forall @t724 (=> @t746 @t723))) % 6.41/6.69 (assume @p501 (forall @t724 (=> @t629 (=> @t836 @t722)))) % 6.41/6.69 (assume @p502 (forall @t316 (=> @t629 @t746))) % 6.41/6.69 (assume @p503 (forall @t316 (= @t746 (or @t629 @t297)))) % 6.41/6.69 (assume @p504 (forall @t316 (= @t629 (and @t746 (not @t297))))) % 6.41/6.69 (assume @p505 (forall (@list @t205 @t281 @t378 @t8 @t74) (= (= @t959 @t149) (and @t958 (= @t956 @t149))))) % 6.41/6.69 (assume @p506 (forall (@list @t378 @t74 @t960 @t8 @t205 @t281) (=> (= @t957 @t961) (= @t959 @t961)))) % 6.41/6.69 (assume @p507 (forall @t965 (= @t964 @t962))) % 6.41/6.69 (assume @p508 (forall @t766 (=> @t184 (=> @t765 @t964)))) % 6.41/6.69 (assume @p509 (forall @t965 (=> @t964 @t184))) % 6.41/6.69 (assume @p510 (forall @t965 (=> @t964 @t765))) % 6.41/6.69 (assume @p511 (forall @t502 (=> @t685 (= (tptp.hAPP @t683 @t786) @t686)))) % 6.41/6.69 (assume @p512 (forall @t502 (=> @t737 @t966))) % 6.41/6.69 (assume @p513 (forall @t502 (=> @t685 @t966))) % 6.41/6.69 (assume @p514 (forall @t968 (=> @t679 (=> (tptp.hBOOL (tptp.hAPP @t967 @t521)) (=> (tptp.hBOOL (tptp.hAPP @t967 @t336)) (tptp.hBOOL (tptp.hAPP @t967 (tptp.hAPP (tptp.hAPP @t754 @t521) @t336)))))))) % 6.41/6.69 (assume @p515 (forall @t888 (=> @t802 (= @t969 (= @t883 @t60))))) % 6.41/6.69 (assume @p516 (forall @t888 (=> @t802 (= @t969 (= @t18 @t889))))) % 6.41/6.69 (assume @p517 (forall @t720 (=> @t710 (=> @t788 @t719)))) % 6.41/6.69 (assume @p518 (forall @t720 (=> @t710 (=> @t501 (=> @t910 @t717))))) % 6.41/6.69 (assume @p519 (forall @t371 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t104) @t289)) (and @t325 @t746)))) % 6.41/6.69 (assume @p520 (forall @t371 (=> @t353 (= @t970 @t746)))) % 6.41/6.69 (assume @p521 (forall @t583 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t881) @t880)) @t601))) % 6.41/6.69 (assume @p522 (forall @t406 (=> (tptp.hBOOL (tptp.hAPP @t745 @t86)) (or @t248 (= @t51 @t86))))) % 6.41/6.69 (assume @p523 (forall @t524 (= (tptp.hAPP (tptp.hAPP @t855 @t544) @t336) (tptp.hAPP @t570 @t971)))) % 6.41/6.69 (assume @p524 (forall @t524 (= (tptp.hAPP @t873 @t337) (tptp.hAPP @t572 @t971)))) % 6.41/6.69 (assume @p525 (forall @t524 (=> @t929 @t548))) % 6.41/6.69 (assume @p526 (forall @t634 (=> @t877 @t670))) % 6.41/6.69 (assume @p527 (forall @t524 (=> @t548 @t929))) % 6.41/6.69 (assume @p528 (forall @t524 (=> @t867 @t673))) % 6.41/6.69 (assume @p529 (forall @t634 (= @t972 @t601))) % 6.41/6.69 (assume @p530 (forall @t634 (= @t668 @t877))) % 6.41/6.69 (assume @p531 (forall @t672 (= @t656 @t923))) % 6.41/6.69 (assume @p532 (forall @t618 (=> @t865 (= @t567 (tptp.hAPP tptp.c_Nat_OSuc @t551))))) % 6.41/6.69 (assume @p533 (forall @t973 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t348) @t39)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t333) @t348)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 (tptp.hAPP (tptp.hAPP @t468 @t348) @t333)) (tptp.hAPP (tptp.hAPP @t468 @t39) @t333))))))) % 6.41/6.69 (assume @p534 (forall @t583 (=> @t948 (=> @t947 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t945) @t943)) @t601))))) % 6.41/6.69 (assume @p535 (forall @t978 (=> @t977 (= @t976 @t975)))) % 6.41/6.69 (assume @p536 (forall @t978 (=> @t977 (= @t975 @t976)))) % 6.41/6.69 (assume @p537 (forall @t978 (=> @t977 (= @t980 @t979)))) % 6.41/6.69 (assume @p538 (forall @t644 (=> @t983 (= (= @t981 @t205) (= @t637 (tptp.hAPP @t580 @t638)))))) % 6.41/6.69 (assume @p539 (forall @t618 (=> @t865 (= (tptp.hAPP (tptp.hAPP @t553 @t551) @t336) @t521)))) % 6.41/6.69 (assume @p540 (forall (@list @t638 @t637 @t205) (=> (tptp.hBOOL (tptp.hAPP @t946 @t637)) (= (tptp.hBOOL (tptp.hAPP @t982 @t642)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t640) @t637)))))) % 6.41/6.69 (assume @p541 (forall @t978 (=> @t977 (= @t979 @t980)))) % 6.41/6.69 (assume @p542 (forall @t618 (=> @t865 @t645))) % 6.41/6.69 (assume @p543 (forall @t984 (=> @t933 (tptp.hBOOL (tptp.hAPP @t866 (tptp.hAPP @t617 @t561)))))) % 6.41/6.69 (assume @p544 (forall (@list @t638 @t205 @t637) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t642) @t638)) (tptp.hBOOL (tptp.hAPP @t985 @t640))))) % 6.41/6.69 (assume @p545 (forall @t978 (=> @t977 (= (tptp.hAPP @t619 @t974) (tptp.hAPP (tptp.hAPP @t468 @t608) @t562))))) % 6.41/6.69 (assume @p546 (forall @t991 (=> @t990 @t989))) % 6.41/6.69 (assume @p547 (forall @t991 (=> (not @t990) (= @t988 (tptp.hAPP @t987 @t378))))) % 6.41/6.69 (assume @p548 (forall (@list @t986 @t987 @t74 @t378 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t771 (tptp.c_Map_Odom @t8 @t74 @t987)))) @t989))) % 6.41/6.69 (assume @p549 (forall @t994 (=> @t993 @t992))) % 6.41/6.69 (assume @p550 (forall @t994 (= @t993 @t992))) % 6.41/6.69 (assume @p551 (forall (@list @t100 @t73 @t1 @t2 @t74 @t8) (= (tptp.c_Map_Omap__add @t8 @t74 @t2 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 @t1) @t73) @t417)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 (tptp.c_Map_Omap__add @t8 @t74 @t2 @t1)) @t73) @t417)))) % 6.41/6.69 (assume @p552 (forall @t999 (=> @t262 (=> @t260 (=> (tptp.hBOOL (tptp.hAPP @t998 @t51)) @t996))))) % 6.41/6.69 (assume @p553 (forall @t888 (=> @t887 (= @t1000 (tptp.hBOOL (tptp.hAPP @t688 @t889)))))) % 6.41/6.69 (assume @p554 (forall @t888 (=> @t887 (= @t1000 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t883) @t60)))))) % 6.41/6.69 (assume @p555 (forall @t406 (=> @t184 (tptp.hBOOL (tptp.hAPP @t891 @t445))))) % 6.41/6.69 (assume @p556 (forall @t1003 (=> @t977 (= (tptp.hAPP @t522 @t1002) (tptp.hAPP @t625 @t1001))))) % 6.41/6.69 (assume @p557 (forall @t1003 (=> @t977 (= (tptp.hAPP (tptp.hAPP @t468 @t1002) @t521) (tptp.hAPP (tptp.hAPP @t468 @t1001) @t622))))) % 6.41/6.69 (assume @p558 (forall (@list @t261 @t100 @t51 @t58 @t8) (=> @t757 (=> (tptp.hBOOL (tptp.hAPP @t756 @t100)) (=> @t755 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t754 @t261 @t301) (tptp.hAPP @t1004 @t100)))))))) % 6.41/6.69 (assume @p559 (forall @t1007 (=> @t251 (=> @t184 (=> @t1006 (=> @t780 @t996)))))) % 6.41/6.69 (assume @p560 (forall @t748 (=> @t1008 (=> @t323 @t970)))) % 6.41/6.69 (assume @p561 (forall @t748 (= @t970 (and (=> @t323 @t1008) @t747)))) % 6.41/6.69 (assume @p562 (forall @t362 (=> @t361 (=> @t780 (= @t543 @t1009))))) % 6.41/6.69 (assume @p563 (forall @t362 (=> @t361 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t1009) @t543))))) % 6.41/6.69 (assume @p564 (forall @t362 (=> @t361 (=> @t746 (=> @t650 @t629))))) % 6.41/6.69 (assume @p565 (forall @t1016 (=> @t1015 (= @t1014 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t1011) @t281)))))) % 6.41/6.69 (assume @p566 (forall @t1018 (=> @t983 (= @t1014 (tptp.hBOOL (tptp.hAPP @t600 @t1017)))))) % 6.41/6.69 (assume @p567 (forall @t1016 (=> @t1015 (= @t1019 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t1011) @t281)))))) % 6.41/6.69 (assume @p568 (forall (@list @t336 @t521 @t332 @t592 @t562) (=> @t1023 (= @t1022 (tptp.hAPP (tptp.hAPP @t468 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t855 @t620) @t332)) @t521)) @t336))))) % 6.41/6.69 (assume @p569 (forall @t1016 (=> @t1015 (= @t1024 (= @t1011 @t281))))) % 6.41/6.69 (assume @p570 (forall @t1018 (=> @t983 (= @t1019 (tptp.hBOOL (tptp.hAPP @t876 @t1017)))))) % 6.41/6.69 (assume @p571 (forall (@list @t336 @t521 @t332 @t562 @t592) (=> @t863 (= @t1022 (tptp.hAPP @t522 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t855 @t1025) @t332)) @t336)))))) % 6.41/6.69 (assume @p572 (forall @t1018 (=> @t983 (= @t1024 (= @t378 @t1017))))) % 6.41/6.69 (assume @p573 (forall @t97 (=> @t1026 (= @t846 (tptp.hAPP (tptp.hAPP @t754 @t809) @t95))))) % 6.41/6.69 (assume @p574 (forall @t491 (=> @t1026 (= @t1029 (tptp.hAPP @t1027 @t847))))) % 6.41/6.69 (assume @p575 (forall @t568 (= (tptp.hAPP (tptp.hAPP @t855 @t971) @t561) (tptp.hAPP @t873 @t920)))) % 6.41/6.69 (assume @p576 (forall @t524 (= @t971 @t1030))) % 6.41/6.69 (assume @p577 (forall @t720 (=> @t1033 (= (tptp.hAPP @t732 @t1032) (tptp.hAPP @t1031 @t716))))) % 6.41/6.69 (assume @p578 (forall @t508 (=> @t1033 (= @t733 (tptp.hAPP @t1031 @t39))))) % 6.41/6.69 (assume @p579 (forall @t508 (=> @t1033 @t734))) % 6.41/6.69 (assume @p580 (forall @t1035 (=> @t1033 (= @t1034 (tptp.hAPP @t1031 @t715))))) % 6.41/6.69 (assume @p581 (forall @t1035 (=> @t1033 (= @t1034 (tptp.hAPP @t711 (tptp.hAPP @t677 @t715)))))) % 6.41/6.69 (assume @p582 (forall (@list @t333 @t348 @t8) (=> @t1033 (= @t707 @t713)))) % 6.41/6.69 (assume @p583 (forall @t1047 (=> @t1033 (= @t1046 (tptp.hAPP @t1042 (tptp.hAPP @t1038 @t1036)))))) % 6.41/6.69 (assume @p584 (forall @t1047 (=> @t1033 (= @t1046 (tptp.hAPP @t1043 (tptp.hAPP @t1045 @t1036)))))) % 6.41/6.69 (assume @p585 (forall @t1047 (=> @t1033 (= @t1046 (tptp.hAPP @t1041 (tptp.hAPP @t1038 @t1044)))))) % 6.41/6.69 (assume @p586 (forall @t1049 (=> @t1033 (= @t1048 (tptp.hAPP @t1042 @t1037))))) % 6.41/6.69 (assume @p587 (forall @t1049 (=> @t1033 (= @t1048 (tptp.hAPP @t1041 (tptp.hAPP @t1038 @t1039)))))) % 6.41/6.69 (assume @p588 (forall @t1051 (=> @t1033 (= @t1050 (tptp.hAPP @t1042 @t1036))))) % 6.41/6.69 (assume @p589 (forall @t1051 (=> @t1033 (= @t1050 (tptp.hAPP @t1043 (tptp.hAPP @t1041 @t1036)))))) % 6.41/6.69 (assume @p590 (forall @t502 (=> @t1033 (= @t796 @t1052)))) % 6.41/6.69 (assume @p591 (forall (@list @t561 @t562 @t332 @t592) (= (tptp.hAPP @t1021 (tptp.hAPP @t1020 @t561)) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t855 @t594) @t332)) @t561)))) % 6.41/6.69 (assume @p592 (forall (@list @t261 @t73 @t100 @t1054 @t8) (=> @t1058 (= (= (tptp.hAPP (tptp.hAPP @t676 @t1057) @t1056) (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t1055 @t261)) (tptp.hAPP @t810 @t100))) (or (= @t1054 @t73) @t1053))))) % 6.41/6.69 (assume @p593 (forall (@list @t39 @t521 @t348 @t8) (=> @t1033 (= (tptp.hAPP @t1060 (tptp.hAPP @t793 @t521)) (tptp.hAPP @t901 @t521))))) % 6.41/6.69 (assume @p594 (forall @t508 (=> @t1033 @t902))) % 6.41/6.69 (assume @p595 (forall @t68 (=> @t1058 (= (and @t300 (not @t736)) (not (= (tptp.hAPP (tptp.hAPP @t676 @t1062) (tptp.hAPP @t791 @t60)) (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t792 @t60)) @t1061))))))) % 6.41/6.69 (assume @p596 (forall @t516 (=> @t1033 (= (tptp.hAPP @t852 @t1065) (tptp.hAPP (tptp.hAPP @t676 @t1064) @t1063))))) % 6.41/6.69 (assume @p597 (forall @t680 (=> @t1033 @t914))) % 6.41/6.69 (assume @p598 (forall @t680 (=> @t1033 @t911))) % 6.41/6.69 (assume @p599 (forall @t1070 (=> @t1033 (= (tptp.hAPP @t1069 @t521) (tptp.hAPP @t1068 @t521))))) % 6.41/6.69 (assume @p600 (forall (@list @t348 @t521 @t8) (=> @t1033 (= (tptp.hAPP @t1069 @t1059) @t1071)))) % 6.41/6.69 (assume @p601 (forall (@list @t521 @t348 @t8) (=> @t1033 (= (tptp.hAPP @t1060 @t521) @t1071)))) % 6.41/6.69 (assume @p602 (forall @t965 (= (= @t761 (tptp.c_Orderings_Obot__class_Obot @t1073)) (and @t248 @t1072)))) % 6.41/6.69 (assume @p603 (forall @t766 (and (=> @t962 @t764) (=> (not @t962) (= @t763 @t1074))))) % 6.41/6.69 (assume @p604 (forall (@list @t117 @t51 @t244 @t8) (=> @t776 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t244) @t51)) (=> @t398 (=> (forall (@list @t268 @t773) (=> @t775 (=> @t1075 (=> (not (tptp.hBOOL (tptp.hAPP @t399 @t773))) (=> @t774 (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t269 @t773)))))))) @t772)))))) % 6.41/6.69 (assume @p605 (forall @t406 (=> @t757 (=> @t249 (=> @t184 (=> @t353 @t1078)))))) % 6.41/6.69 (assume @p606 (forall @t1087 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t8) (=> @t1086 (=> (tptp.hBOOL (tptp.hAPP @t487 @t348)) (=> @t1085 (=> @t1084 (=> @t1081 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t1080) @t348)))))))))) % 6.41/6.69 (assume @p607 (forall @t444 (=> @t323 (=> (tptp.c_Nitpick_Ofold__graph_H @t8 @t74 @t2 @t261 @t356 @t100) (tptp.c_Nitpick_Ofold__graph_H @t8 @t74 @t2 @t261 @t51 @t441))))) % 6.41/6.69 (assume @p608 (forall (@list @t100 @t2 @t74 @t51 @t73 @t8) (and (=> @t323 (= @t1090 (tptp.hAPP (tptp.hAPP @t111 @t100) (tptp.hAPP @t1088 @t356)))) (=> @t353 (= @t1090 @t1089))))) % 6.41/6.69 (assume @p609 (forall @t524 (and (=> @t1091 (= @t971 @t1074)) (=> @t1092 (= @t971 (tptp.hAPP @t570 (tptp.hAPP (tptp.hAPP @t855 @t523) @t336))))))) % 6.41/6.69 (assume @p610 (forall @t524 (and (=> @t1091 (= @t573 @t336)) (=> @t1092 (= @t573 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t553 @t523) @t336))))))) % 6.41/6.69 (assume @p611 (forall (@list @t8 @t51 @t74 @t73 @t2 @t58) (=> @t1095 (=> @t352 (tptp.hBOOL (tptp.hAPP @t329 @t1094)))))) % 6.41/6.69 (assume @p612 (forall @t1098 (=> @t776 (tptp.hBOOL (tptp.hAPP @t259 (tptp.hAPP @t1097 @t244)))))) % 6.41/6.69 (assume @p613 (forall @t550 (not (tptp.hBOOL (tptp.hAPP @t549 @t1074))))) % 6.41/6.69 (assume @p614 (forall @t550 (tptp.hBOOL (tptp.hAPP @t1099 @t336)))) % 6.41/6.69 (assume @p615 (forall @t550 (tptp.hBOOL (tptp.hAPP @t1100 @t337)))) % 6.41/6.69 (assume @p616 (forall @t89 (=> (tptp.class_Groups_Ozero @t8) (= (= @t1082 @t73) @t1101)))) % 6.41/6.69 (assume @p617 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t1074)) % 6.41/6.69 (assume @p618 (forall (@list @t74 @t2 @t58 @t51 @t73 @t8) (=> @t323 (=> @t1095 (tptp.hBOOL (tptp.hAPP @t1102 @t1089)))))) % 6.41/6.69 (assume @p619 (forall @t1103 (=> @t323 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t115) @t1089))))) % 6.41/6.69 (assume @p620 (forall (@list @t51 @t2 @t74 @t261 @t8) (= (tptp.hBOOL (tptp.hAPP @t1104 @t1094)) (exists @t7 (and @t742 (= @t261 @t5)))))) % 6.41/6.69 (assume @p621 (forall @t1106 (= (= @t1094 @t56) @t1105))) % 6.41/6.69 (assume @p622 (forall @t1107 (= (tptp.hAPP @t1093 @t386) @t56))) % 6.41/6.69 (assume @p623 (forall @t1108 (= (= @t56 @t1094) @t1105))) % 6.41/6.69 (assume @p624 (forall (@list @t289 @t13 @t2 @t8 @t74) (= (tptp.hAPP @t1093 @t1111) (tptp.hAPP (tptp.hAPP @t52 @t530) @t1109)))) % 6.41/6.69 (assume @p625 (forall @t1115 (=> @t746 @t1114))) % 6.41/6.69 (assume @p626 (forall (@list @t51 @t2 @t74 @t289 @t8) (= @t1117 (exists (@list @t1116) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t997 @t1116) @t51)) (= @t289 (tptp.hAPP @t1093 @t1116))))))) % 6.41/6.69 (assume @p627 (forall @t438 (tptp.c_Nitpick_Ofold__graph_H @t8 @t74 @t2 @t261 @t56 @t261))) % 6.41/6.69 (assume @p628 (forall (@list @t179 @t176 @t74 @t8) (tptp.c_Nitpick_Ofold__graph_H @t8 @t74 @t176 @t179 @t56 @t179))) % 6.41/6.69 (assume @p629 (forall @t680 (=> @t1120 @t1119))) % 6.41/6.69 (assume @p630 (forall @t680 (=> @t1121 @t1119))) % 6.41/6.69 (assume @p631 (forall @t14 (=> @t1124 (= (= @t1082 @t1123) @t1122)))) % 6.41/6.69 (assume @p632 (forall @t680 (=> @t1120 @t1125))) % 6.41/6.69 (assume @p633 (forall @t680 (=> @t1121 @t1125))) % 6.41/6.69 (assume @p634 (forall @t680 (=> @t1033 @t1119))) % 6.41/6.69 (assume @p635 (forall @t680 (=> @t1033 @t1125))) % 6.41/6.69 (assume @p636 (forall @t377 (=> @t1058 (= (= @t58 @t729) @t1122)))) % 6.41/6.69 (assume @p637 (forall @t502 (=> @t1129 (=> @t1128 (or @t1127 @t1126))))) % 6.41/6.69 (assume @p638 (forall @t502 (=> @t1129 (=> @t1131 (=> @t1130 (not @t1128)))))) % 6.41/6.69 (assume @p639 (forall @t71 (=> (tptp.class_Rings_Oring__no__zero__divisors @t8) (= (= @t1133 @t1082) (or @t1122 @t1132))))) % 6.41/6.69 (assume @p640 (forall @t680 (=> @t1135 @t1134))) % 6.41/6.69 (assume @p641 (forall @t680 (=> @t1135 @t1136))) % 6.41/6.69 (assume @p642 (forall @t680 (=> @t1033 @t1136))) % 6.41/6.69 (assume @p643 (forall @t680 (=> @t1033 @t1134))) % 6.41/6.69 (assume @p644 (forall @t680 (=> @t685 (= (tptp.hAPP @t683 @t1082) @t348)))) % 6.41/6.69 (assume @p645 (forall @t680 (=> @t685 (= (tptp.hAPP @t683 @t348) @t1082)))) % 6.41/6.69 (assume @p646 (forall @t71 (=> @t737 (= @t69 @t1137)))) % 6.41/6.69 (assume @p647 (forall @t71 (=> @t685 (= @t1137 @t69)))) % 6.41/6.69 (assume @p648 (forall @t150 (=> @t1138 (not (= @t675 @t1082))))) % 6.41/6.69 (assume @p649 (forall @t150 (=> @t1138 (not (= @t1082 @t675))))) % 6.41/6.69 (assume @p650 (forall @t14 (=> @t1124 (= (= @t799 @t13) @t1122)))) % 6.41/6.69 (assume @p651 (forall @t14 (=> @t685 (= (= @t799 @t1082) @t1122)))) % 6.41/6.69 (assume @p652 (forall @t14 (=> @t1124 (= (= @t13 @t799) @t1122)))) % 6.41/6.69 (assume @p653 (forall @t14 (=> @t685 (= (= @t1082 @t799) (= @t1082 @t13))))) % 6.41/6.69 (assume @p654 (forall @t150 (=> @t685 (= (tptp.hAPP @t784 @t1082) @t1082)))) % 6.41/6.69 (assume @p655 (forall @t875 (not (= @t1074 @t544)))) % 6.41/6.69 (assume @p656 (forall (@list @t1139) (not (= @t1074 (tptp.hAPP tptp.c_Nat_OSuc @t1139))))) % 6.41/6.69 (assume @p657 (forall @t875 (not (= @t544 @t1074)))) % 6.41/6.69 (assume @p658 (forall (@list @t1140) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t1140) @t1074)))) % 6.41/6.69 (assume @p659 (forall @t1144 (= @t1143 @t1141))) % 6.41/6.69 (assume @p660 (forall @t524 (=> @t548 @t1146))) % 6.41/6.69 (assume @p661 (forall @t550 (=> @t1146 @t1147))) % 6.41/6.69 (assume @p662 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t553 @t1074) @t336) @t336))) % 6.41/6.69 (assume @p663 (forall @t875 (= (tptp.hAPP @t572 @t1074) @t521))) % 6.41/6.69 (assume @p664 (forall @t634 (= (= @t1149 @t1074) (and @t1148 @t1142)))) % 6.41/6.69 (assume @p665 (forall @t524 (=> (= @t573 @t521) @t1145))) % 6.41/6.69 (assume @p666 (forall @t1144 (= (tptp.hBOOL (tptp.hAPP @t926 @t1074)) @t1142))) % 6.41/6.69 (assume @p667 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t468 @t1074) @t336) @t1074))) % 6.41/6.69 (assume @p668 (forall @t875 (= (tptp.hAPP @t522 @t1074) @t521))) % 6.41/6.69 (assume @p669 (forall @t875 (= (tptp.hAPP @t522 @t521) @t1074))) % 6.41/6.69 (assume @p670 (forall @t524 (=> @t1151 (=> (= @t1150 @t1074) @t660)))) % 6.41/6.69 (assume @p671 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t855 @t1074) @t336) @t1074))) % 6.41/6.69 (assume @p672 (forall @t875 (= (tptp.hAPP @t873 @t1074) @t1074))) % 6.41/6.69 (assume @p673 (forall @t634 (= (= @t951 @t1074) (or @t1148 @t1142)))) % 6.41/6.69 (assume @p674 (forall @t583 (= @t1157 @t1153))) % 6.41/6.69 (assume @p675 (forall @t588 (= (= @t1160 @t1159) @t1153))) % 6.41/6.69 (assume @p676 (forall @t583 (= @t1157 (or @t1152 @t579)))) % 6.41/6.69 (assume @p677 (forall @t1103 (=> @t323 (= (tptp.hAPP (tptp.hAPP @t111 @t115) @t1089) @t1089)))) % 6.41/6.69 (assume @p678 (forall (@list @t2 @t289 @t74 @t51 @t8) (=> @t184 (=> @t1161 @t765)))) % 6.41/6.69 (assume @p679 (forall @t1163 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP (tptp.hAPP @t309 @t1094) @t1109)) (tptp.hAPP @t1093 @t1162))))) % 6.41/6.69 (assume @p680 (forall @t502 (=> @t1166 (=> @t1165 (=> @t1164 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t686) @t1082))))))) % 6.41/6.69 (assume @p681 (forall @t1169 (=> @t1166 (=> @t1168 (=> @t833 @t1167))))) % 6.41/6.69 (assume @p682 (forall @t508 (=> @t1166 (=> @t1170 (=> @t837 @t1167))))) % 6.41/6.69 (assume @p683 (forall @t485 (=> @t1166 (=> (tptp.hBOOL (tptp.hAPP @t1083 @t73)) (=> (tptp.hBOOL (tptp.hAPP @t1083 @t100)) (= (= @t1174 @t1082) @t1172)))))) % 6.41/6.69 (assume @p684 (forall @t502 (=> @t1166 (=> @t1170 (=> @t1175 (tptp.hBOOL (tptp.hAPP @t1083 @t686))))))) % 6.41/6.69 (assume @p685 (forall @t14 (=> @t1124 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1123) @t1082)) @t1176)))) % 6.41/6.69 (assume @p686 (forall @t14 (=> @t1124 (= (tptp.hBOOL (tptp.hAPP @t1083 @t1123)) @t1177)))) % 6.41/6.69 (assume @p687 (forall @t502 (=> @t1179 (=> (or (and @t1170 @t1164) (and @t1165 @t1175)) @t1178)))) % 6.41/6.69 (assume @p688 (forall @t502 (=> @t887 (=> (or (and @t1170 @t1175) (and @t1165 @t1164)) @t1180)))) % 6.41/6.69 (assume @p689 (forall @t720 (=> @t1184 (=> @t788 (=> @t910 (=> @t1175 @t1183)))))) % 6.41/6.69 (assume @p690 (forall @t720 (=> @t1184 (=> @t788 (=> @t910 (=> @t1170 @t1183)))))) % 6.41/6.69 (assume @p691 (forall @t512 (=> @t887 (=> @t833 (=> @t1189 @t1188))))) % 6.41/6.69 (assume @p692 (forall @t512 (=> @t887 (=> @t833 (=> @t1189 @t1190))))) % 6.41/6.69 (assume @p693 (forall @t508 (=> (tptp.class_Rings_Oordered__comm__semiring @t8) @t1191))) % 6.41/6.69 (assume @p694 (forall @t508 (=> @t1184 @t1191))) % 6.41/6.69 (assume @p695 (forall @t508 (=> @t1184 (=> @t788 (=> @t1168 @t1190))))) % 6.41/6.69 (assume @p696 (forall @t502 (=> @t887 (=> @t1165 (=> @t1164 @t1180))))) % 6.41/6.69 (assume @p697 (forall @t502 (=> @t1179 (=> @t1165 (=> @t1175 @t1178))))) % 6.41/6.69 (assume @p698 (forall @t502 (=> @t1179 (=> @t1170 (=> @t1164 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1052) @t1082))))))) % 6.41/6.69 (assume @p699 (forall @t502 (=> @t1179 (=> @t1170 (=> @t1164 @t1178))))) % 6.41/6.69 (assume @p700 (forall @t502 (=> @t1179 (=> @t1170 (=> @t1175 @t1180))))) % 6.41/6.69 (assume @p701 (forall @t71 (=> @t1195 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1133) @t1082)) @t1194)))) % 6.41/6.69 (assume @p702 (forall @t71 (=> @t1195 (= (tptp.hBOOL (tptp.hAPP @t1083 @t1133)) @t1196)))) % 6.41/6.69 (assume @p703 (forall @t680 (=> @t1197 (tptp.hBOOL (tptp.hAPP @t1083 @t854))))) % 6.41/6.69 (assume @p704 (forall @t502 (=> @t1166 (=> @t1201 @t1200)))) % 6.41/6.69 (assume @p705 (forall @t508 (=> @t679 (=> @t1205 @t1203)))) % 6.41/6.69 (assume @p706 (forall @t502 (=> @t1166 (=> @t1205 @t1208)))) % 6.41/6.69 (assume @p707 (forall @t14 (=> @t1124 @t1210))) % 6.41/6.69 (assume @p708 (forall @t14 (=> @t1124 (= (tptp.hBOOL (tptp.hAPP @t1204 @t1123)) @t1211)))) % 6.41/6.69 (assume @p709 (forall @t680 (=> @t1197 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t854) @t1082)))))) % 6.41/6.69 (assume @p710 (forall @t700 (=> @t1195 (= (tptp.hBOOL (tptp.hAPP @t1216 @t1061)) @t1215)))) % 6.41/6.69 (assume @p711 (forall @t704 (=> @t1195 (= @t1220 @t1215)))) % 6.41/6.69 (assume @p712 (forall @t704 (=> @t1195 (=> @t1214 (= @t1220 @t691))))) % 6.41/6.69 (assume @p713 (forall @t502 (=> @t1222 (=> @t1205 (=> @t1207 @t1221))))) % 6.41/6.69 (assume @p714 (forall @t502 (=> @t1222 (=> @t1205 (=> @t1199 @t1223))))) % 6.41/6.69 (assume @p715 (forall @t502 (=> @t1222 (=> @t1205 (=> @t1199 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t1052) @t1082))))))) % 6.41/6.69 (assume @p716 (forall @t502 (=> @t1222 (=> @t1221 @t1224)))) % 6.41/6.69 (assume @p717 (forall @t503 (=> @t1222 (=> (tptp.hBOOL (tptp.hAPP @t1204 @t1052)) @t1224)))) % 6.41/6.69 (assume @p718 (forall @t704 (=> @t1195 (=> @t1213 (= @t1220 @t1212))))) % 6.41/6.69 (assume @p719 (forall @t502 (=> @t1222 (=> @t1201 (=> @t1207 @t1223))))) % 6.41/6.69 (assume @p720 (forall @t502 (=> @t1195 (=> @t1201 (=> @t1199 @t1221))))) % 6.41/6.69 (assume @p721 (forall @t508 (=> @t1222 (=> @t501 (=> @t1227 @t1226))))) % 6.41/6.69 (assume @p722 (forall @t508 (=> @t1222 @t1229))) % 6.41/6.69 (assume @p723 (forall @t508 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t8) @t1229))) % 6.41/6.69 (assume @p724 (forall @t512 (=> @t1195 (=> @t499 (=> @t1230 @t1226))))) % 6.41/6.69 (assume @p725 (forall @t512 (=> @t1195 (=> @t499 (=> @t1230 @t1228))))) % 6.41/6.69 (assume @p726 (forall @t71 (=> @t694 (= @t798 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t692) @t1082)))))) % 6.41/6.69 (assume @p727 (forall @t71 (=> @t694 (= @t691 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t692) @t1082)))))) % 6.41/6.69 (assume @p728 (forall @t485 (=> @t1195 (= (= @t1231 @t1082) @t1172)))) % 6.41/6.69 (assume @p729 (forall (@list @t715 @t333 @t39 @t348 @t1232 @t8) (=> @t1058 (=> (not (= @t1232 @t1082)) (=> (and @t506 (not (= @t333 @t715))) (not (= (tptp.hAPP @t677 (tptp.hAPP @t1233 @t333)) (tptp.hAPP @t705 (tptp.hAPP @t1233 @t715))))))))) % 6.41/6.69 (assume @p730 (forall @t150 (=> @t679 (tptp.hBOOL (tptp.hAPP @t1083 @t675))))) % 6.41/6.69 (assume @p731 (forall @t150 (=> @t679 (not (tptp.hBOOL (tptp.hAPP @t1234 @t1082)))))) % 6.41/6.69 (assume @p732 (forall @t150 (=> @t679 (not (tptp.hBOOL (tptp.hAPP @t967 @t1082)))))) % 6.41/6.69 (assume @p733 (forall @t150 (=> @t679 (tptp.hBOOL (tptp.hAPP @t1204 @t675))))) % 6.41/6.69 (assume @p734 (forall @t14 (=> @t1124 (= (tptp.hBOOL (tptp.hAPP @t803 @t13)) @t1177)))) % 6.41/6.69 (assume @p735 (forall @t14 (=> @t694 (= (tptp.hBOOL (tptp.hAPP @t803 @t1082)) @t1177)))) % 6.41/6.69 (assume @p736 (forall @t14 (=> @t1124 (= (tptp.hBOOL (tptp.hAPP @t797 @t799)) @t1176)))) % 6.41/6.69 (assume @p737 (forall @t14 (=> @t694 (= (tptp.hBOOL (tptp.hAPP @t1083 @t799)) @t1176)))) % 6.41/6.69 (assume @p738 (forall @t14 (=> @t1124 (= (tptp.hBOOL (tptp.hAPP @t894 @t13)) @t1211)))) % 6.41/6.69 (assume @p739 (forall @t14 (=> @t694 (= (tptp.hBOOL (tptp.hAPP @t894 @t1082)) @t1211)))) % 6.41/6.69 (assume @p740 (forall @t14 (=> @t725 (= (tptp.hBOOL (tptp.hAPP @t690 @t799)) @t1209)))) % 6.41/6.69 (assume @p741 (forall @t14 (=> @t694 (= (tptp.hBOOL (tptp.hAPP @t1204 @t799)) @t1209)))) % 6.41/6.69 (assume @p742 (forall @t502 (=> @t685 (=> (= @t686 @t1082) (= @t785 @t39))))) % 6.41/6.69 (assume @p743 (forall @t680 (=> @t737 @t1235))) % 6.41/6.69 (assume @p744 (forall @t680 (=> @t685 @t1235))) % 6.41/6.69 (assume @p745 (forall @t71 (=> @t685 (= @t790 (= @t730 @t1082))))) % 6.41/6.69 (assume @p746 (forall @t680 (=> @t685 (= (tptp.hAPP @t677 @t785) @t1082)))) % 6.41/6.69 (assume @p747 (forall @t680 (=> @t685 (= (tptp.hAPP (tptp.hAPP @t392 @t1082) @t348) @t785)))) % 6.41/6.69 (assume @p748 (forall @t634 (= @t668 (or @t1148 (exists @t1238 (and (= @t378 (tptp.hAPP tptp.c_Nat_OSuc @t1236)) (tptp.hBOOL (tptp.hAPP @t1237 @t281)))))))) % 6.41/6.69 (assume @p749 (forall @t1144 (= (tptp.hBOOL (tptp.hAPP @t655 @t1239)) @t1142))) % 6.41/6.69 (assume @p750 (forall @t1144 (= @t1141 (exists @t1242 @t1241)))) % 6.41/6.69 (assume @p751 (forall @t634 (= (= @t1149 @t1239) @t1245))) % 6.41/6.69 (assume @p752 (forall @t634 (= (= @t1239 @t1149) @t1245))) % 6.41/6.69 (assume @p753 (forall @t634 (= (tptp.hBOOL (tptp.hAPP @t1100 @t1149)) (or @t1246 @t1141)))) % 6.41/6.69 (assume @p754 (forall @t150 (= (tptp.hAPP @t402 @t56) @t1074))) % 6.41/6.69 (assume @p755 (forall @t243 @t1249)) % 6.41/6.69 (assume @p756 (forall @t634 (= (= @t951 @t1239) (and @t1244 @t1243)))) % 6.41/6.69 (assume @p757 (forall @t672 (= (tptp.hBOOL (tptp.hAPP @t1100 @t1250)) @t601))) % 6.41/6.69 (assume @p758 (forall @t618 (=> @t1147 (=> @t1251 (tptp.hBOOL (tptp.hAPP @t552 @t521)))))) % 6.41/6.69 (assume @p759 (forall @t610 (=> @t604 (=> @t1252 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t871) @t870)))))) % 6.41/6.69 (assume @p760 (forall @t610 (=> @t604 (=> @t1252 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t858) @t872)))))) % 6.41/6.69 (assume @p761 (forall @t588 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t1160) @t1159)) @t1254))) % 6.41/6.69 (assume @p762 (forall @t583 (= @t1255 @t1254))) % 6.41/6.69 (assume @p763 (forall @t634 (= (tptp.hBOOL (tptp.hAPP @t1100 @t951)) (and @t1246 @t1141)))) % 6.41/6.69 (assume @p764 (forall @t583 (=> @t1253 (= @t1255 @t601)))) % 6.41/6.69 (assume @p765 (forall @t583 (=> @t1253 (= @t1157 @t579)))) % 6.41/6.69 (assume @p766 (forall @t618 (= (tptp.hAPP @t939 @t571) @t1074))) % 6.41/6.69 (assume @p767 (forall (@list @t13 @t2 @t8 @t1) (=> (= @t1 @t1256) (= (tptp.hAPP @t1 @t70) @t13)))) % 6.41/6.69 (assume @p768 (forall (@list @t13 @t2 @t8) (= (tptp.hAPP @t1256 @t70) @t13))) % 6.41/6.69 (assume @p769 (forall @t524 (=> @t867 @t1151))) % 6.41/6.69 (assume @p770 (forall @t634 (= (= @t1257 @t1074) @t877))) % 6.41/6.69 (assume @p771 (= @t467 @t1239)) % 6.41/6.69 (assume @p772 (forall @t524 (=> (= @t521 @t971) (or (= @t336 @t467) @t1091)))) % 6.41/6.69 (assume @p773 (forall @t397 (=> @t264 @t1259))) % 6.41/6.69 (assume @p774 (forall @t1261 (=> @t184 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t1260) @t403))))) % 6.41/6.69 (assume @p775 (forall (@list @t100 @t378 @t74 @t51 @t73 @t8) (=> @t353 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t418 @t751) @t51) (tptp.hAPP (tptp.c_Set_Oimage @t8 @t418 @t378) @t51))))) % 6.41/6.69 (assume @p776 (forall @t502 (=> @t1166 (=> @t1165 @t1200)))) % 6.41/6.69 (assume @p777 (forall @t502 (=> @t1166 (=> @t1201 (=> @t1164 @t1198))))) % 6.41/6.69 (assume @p778 (forall @t508 (=> @t1166 (=> @t1170 @t1203)))) % 6.41/6.69 (assume @p779 (forall @t508 (=> @t1166 (=> @t1205 (=> @t837 @t1202))))) % 6.41/6.69 (assume @p780 (forall @t502 (=> @t1166 (=> @t1170 @t1208)))) % 6.41/6.69 (assume @p781 (forall @t502 (=> @t1166 (=> @t1205 (=> @t1175 @t1206))))) % 6.41/6.69 (assume @p782 (forall @t739 (=> @t1222 (=> @t1188 @t1262)))) % 6.41/6.69 (assume @p783 (forall @t740 (=> @t1222 (=> @t1190 @t1262)))) % 6.41/6.69 (assume @p784 (forall @t739 (=> @t1222 @t1264))) % 6.41/6.69 (assume @p785 (forall @t739 (=> @t1265 @t1264))) % 6.41/6.69 (assume @p786 (forall @t740 (=> @t1222 @t1266))) % 6.41/6.69 (assume @p787 (forall @t740 (=> @t1265 @t1266))) % 6.41/6.69 (assume @p788 (forall @t720 (=> @t1222 (=> @t788 (=> @t718 (=> @t1205 @t1268)))))) % 6.41/6.69 (assume @p789 (forall @t720 (=> @t1222 (=> @t501 (=> @t910 (=> @t1170 (=> @t1227 @t1267))))))) % 6.41/6.69 (assume @p790 (forall @t720 (=> @t1222 (=> @t501 (=> @t718 (=> @t1170 @t1268)))))) % 6.41/6.69 (assume @p791 (forall @t720 (=> @t1222 (=> @t501 (=> @t718 (=> @t1207 @t1268)))))) % 6.41/6.69 (assume @p792 (forall @t704 (=> @t1195 (=> @t1213 (= @t1270 @t1269))))) % 6.41/6.69 (assume @p793 (forall @t704 (=> @t1195 (=> @t1214 (= @t1270 @t798))))) % 6.41/6.69 (assume @p794 (forall @t485 (=> @t1195 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1231) @t1082)) @t1172)))) % 6.41/6.69 (assume @p795 (forall @t491 (=> @t1197 (tptp.hBOOL (tptp.hAPP @t1083 @t1272))))) % 6.41/6.69 (assume @p796 (forall @t491 (=> @t1197 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t1272) @t1082)))))) % 6.41/6.69 (assume @p797 (forall @t485 (=> @t1195 (= (tptp.hBOOL (tptp.hAPP @t1204 @t1231)) @t1274)))) % 6.41/6.69 (assume @p798 (forall @t491 (=> @t725 (=> @t1277 (=> @t1276 (=> @t1275 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1064) @t95)))))))) % 6.41/6.69 (assume @p799 (forall @t491 (=> @t725 (=> @t1277 (=> @t1276 (=> @t1275 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1278) @t95)))))))) % 6.41/6.69 (assume @p800 (forall @t150 (=> @t679 (tptp.hBOOL (tptp.hAPP @t1204 @t1067))))) % 6.41/6.69 (assume @p801 (forall @t243 (= @t1247 (or @t248 @t1248)))) % 6.41/6.69 (assume @p802 (forall @t243 (=> @t1279 @t184))) % 6.41/6.69 (assume @p803 (forall @t550 (=> @t1147 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t939 @t1239)) @t336)))) % 6.41/6.69 (assume @p804 (forall (@list @t592 @t336) (=> @t1147 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 (tptp.hAPP @t939 @t674)) @t336))))) % 6.41/6.69 (assume @p805 (forall @t618 (=> @t1282 (=> @t1281 (tptp.hBOOL (tptp.hAPP @t1280 @t971)))))) % 6.41/6.69 (assume @p806 (forall @t618 (=> @t1282 (=> @t1281 (tptp.hBOOL (tptp.hAPP @t549 @t1030)))))) % 6.41/6.69 (assume @p807 (forall @t618 (=> @t1282 (=> @t1281 (tptp.hBOOL (tptp.hAPP @t549 @t971)))))) % 6.41/6.69 (assume @p808 (forall @t1292 (= @t1291 (not (or (and @t1290 @t1289) (exists @t1287 (and @t1286 (not @t1285)))))))) % 6.41/6.69 (assume @p809 (forall @t1292 (= @t1291 (and (=> @t1290 @t1288) (forall @t1287 (=> @t1286 @t1285)))))) % 6.41/6.69 (assume @p810 (forall @t634 (= (tptp.hBOOL (tptp.hAPP @t1293 @t951)) (and (tptp.hBOOL (tptp.hAPP @t1293 @t378)) (tptp.hBOOL (tptp.hAPP @t1293 @t281)))))) % 6.41/6.69 (assume @p811 (forall @t588 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t1160) @t1159)) @t1294))) % 6.41/6.69 (assume @p812 (forall @t583 (= @t1295 @t1294))) % 6.41/6.69 (assume @p813 (forall @t583 (=> @t1253 (= @t1295 @t877)))) % 6.41/6.69 (assume @p814 (forall (@list @t116 @t46 @t117 @t8) (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t1074 @t120))) % 6.41/6.69 (assume @p815 (forall @t1087 (=> (tptp.class_Rings_Olinordered__semiring__1 @t8) (=> @t1296 (=> (tptp.hBOOL (tptp.hAPP @t815 @t348)) (=> @t1085 (=> @t1084 (=> @t1081 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1080) @t348)))))))))) % 6.41/6.69 (assume @p816 (forall @t243 (= @t1279 (and @t249 @t184)))) % 6.41/6.69 (assume @p817 (forall @t406 (=> @t851 (=> @t249 (=> @t184 @t1078))))) % 6.41/6.69 (assume @p818 (forall @t550 (=> @t1147 (= @t1298 @t336)))) % 6.41/6.69 (assume @p819 (forall @t550 (=> @t1147 (= @t336 @t1298)))) % 6.41/6.69 (assume @p820 (forall (@list @t162 @t164 @t167 @t1299 @t8) (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__size @t8 @t1299 @t168) @t1074))) % 6.41/6.69 (assume @p821 (forall @t14 (=> @t725 @t1210))) % 6.41/6.69 (assume @p822 (forall (@list @t162 @t164 @t167 @t8) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t9) @t168) @t1074))) % 6.41/6.69 (assume @p823 (forall @t243 (=> @t757 (=> @t184 (=> @t249 (=> (forall @t396 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t1300) @t394))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t1077) @t51)))))))) % 6.41/6.69 (assume @p824 (forall (@list @t205 @t51 @t8) (= (= @t403 @t878) (exists (@list @t1302 @t1301) (and (= @t51 (tptp.hAPP (tptp.hAPP @t52 @t1302) @t1301)) (not (tptp.hBOOL (tptp.hAPP @t1303 @t1301))) (= (tptp.hAPP @t402 @t1301) @t205) (=> @t1152 (= @t1301 @t56))))))) % 6.41/6.69 (assume @p825 (forall (@list @t13 @t1299 @t8) (= (tptp.c_Option_Ooption_Ooption__size @t8 @t1299 @t109) (tptp.hAPP @t1304 @t1239)))) % 6.41/6.69 (assume @p826 (forall (@list @t344 @t176 @t179 @t346 @t178 @t74 @t8) (= (tptp.c_Nitpick_Ofold__graph_H @t8 @t74 @t178 @t346 @t179 @t1306) (or (and @t1307 (= @t1306 @t346)) (exists @t396 (and (= @t1306 (tptp.hAPP (tptp.hAPP @t178 @t3) @t43)) (tptp.hBOOL (tptp.hAPP @t137 @t179)) (tptp.c_Nitpick_Ofold__graph_H @t8 @t74 @t178 @t346 (tptp.hAPP (tptp.hAPP @t309 @t179) @t1305) @t43))))))) % 6.41/6.69 (assume @p827 (forall @t1308 (= (tptp.c_Com_Ocom_Ocom__size @t231) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t553 (tptp.c_Com_Ocom_Ocom__size @t230)) (tptp.c_Com_Ocom_Ocom__size @t229))) @t1239)))) % 6.41/6.69 (assume @p828 (forall @t14 (=> @t1124 @t1309))) % 6.41/6.69 (assume @p829 (forall @t1310 (= (tptp.c_Option_Ooption_Ooption__size @t8 @t1299 @t149) @t1074))) % 6.41/6.69 (assume @p830 (forall @t1313 (= (tptp.c_Com_Ocom_Ocom__size @t1312) @t1074))) % 6.41/6.69 (assume @p831 (forall @t1314 (= (tptp.c_Com_Ocom_Ocom__size @t158) @t1074))) % 6.41/6.69 (assume @p832 (= (tptp.c_Com_Ocom_Ocom__size tptp.c_Com_Ocom_OSKIP) @t1074)) % 6.41/6.69 (assume @p833 (forall @t1317 (= (tptp.c_Nat_Onat_Onat__size @t1316) (tptp.hAPP (tptp.hAPP @t553 (tptp.c_Nat_Onat_Onat__size @t1315)) @t1239)))) % 6.41/6.69 (assume @p834 (forall @t1317 (= (tptp.hAPP @t1318 @t1316) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t1318 @t1315)) @t1239)))) % 6.41/6.69 (assume @p835 (forall @t680 (= (tptp.hAPP @t1319 (tptp.hAPP @t87 @t348)) @t1074))) % 6.41/6.69 (assume @p836 (forall @t150 (= (tptp.hAPP @t1319 @t149) @t1074))) % 6.41/6.69 (assume @p837 (forall @t14 (=> @t725 (=> @t1322 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t1320) @t1082)) @t1209))))) % 6.41/6.69 (assume @p838 (forall @t1308 (= (tptp.hAPP @t1323 @t231) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t1323 @t230)) (tptp.hAPP @t1323 @t229))) @t1239)))) % 6.41/6.69 (assume @p839 (forall @t1331 (=> @t851 (=> (forall @t396 (= (tptp.hAPP @t1096 @t1300) (tptp.hAPP (tptp.hAPP @t754 @t1330) @t1329))) (=> @t1328 (=> @t1327 (= (tptp.hAPP @t1096 (tptp.hAPP @t1076 @t1324)) (tptp.hAPP @t1076 @t1326)))))))) % 6.41/6.69 (assume @p840 (forall (@list @t281 @t117) (=> @t1289 (=> @t1337 (exists @t633 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t631) @t281)) (forall @t1336 (=> (tptp.hBOOL (tptp.hAPP @t1335 @t631)) (not @t1334))) (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP (tptp.hAPP @t553 @t631) @t467))))))))) % 6.41/6.69 (assume @p841 (forall @t550 (= (tptp.hAPP @t1318 @t336) @t336))) % 6.41/6.69 (assume @p842 (forall @t150 (=> @t1339 (tptp.hBOOL (tptp.hAPP @t1338 @t1321))))) % 6.41/6.69 (assume @p843 (forall @t71 (=> @t1339 (=> @t1322 (=> @t1341 (tptp.hBOOL (tptp.hAPP @t1340 @t1321))))))) % 6.41/6.69 (assume @p844 (forall @t71 (=> @t1339 (=> @t1322 (=> @t1341 (tptp.hBOOL (tptp.hAPP @t1342 @t1321))))))) % 6.41/6.69 (assume @p845 (= (tptp.hAPP @t1318 @t1074) @t1074)) % 6.41/6.69 (assume @p846 (forall @t71 (=> @t1339 (=> @t1322 (=> @t1341 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t692) @t1321))))))) % 6.41/6.69 (assume @p847 (forall @t150 (=> @t1339 (tptp.hBOOL (tptp.hAPP @t1343 @t1321))))) % 6.41/6.69 (assume @p848 (forall @t14 (=> @t1339 (=> @t1322 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t799) @t1321)))))) % 6.41/6.69 (assume @p849 (forall @t1313 (= (tptp.hAPP @t1323 @t1312) @t1074))) % 6.41/6.69 (assume @p850 (forall @t1314 (= (tptp.hAPP @t1323 @t158) @t1074))) % 6.41/6.69 (assume @p851 (= (tptp.hAPP @t1323 tptp.c_Com_Ocom_OSKIP) @t1074)) % 6.41/6.69 (assume @p852 (= (tptp.c_Nat_Onat_Onat__size @t1074) @t1074)) % 6.41/6.69 (assume @p853 (forall @t14 (=> @t1344 (=> @t1322 @t1309)))) % 6.41/6.69 (assume @p854 (forall @t14 (=> @t1344 (=> @t1322 (not (= @t1320 @t1082)))))) % 6.41/6.69 (assume @p855 (forall @t97 (=> @t1348 (and (=> @t1347 (= @t1345 @t1082)) (=> (not @t1347) (and (=> @t1346 (= @t1345 @t675)) (=> (not @t1346) (= @t1345 @t809)))))))) % 6.41/6.69 (assume @p856 (forall @t14 (=> @t725 (= (= @t1349 @t809) @t1209)))) % 6.41/6.69 (assume @p857 (forall @t680 (=> @t725 (=> @t1201 (= @t1350 @t809))))) % 6.41/6.69 (assume @p858 (forall (@list @t1324 @t1096 @t244 @t2 @t8) (=> @t251 (=> (forall @t396 (= (tptp.hAPP @t1096 @t395) (tptp.hAPP (tptp.hAPP @t2 @t1330) @t1329))) (=> @t1328 (=> @t1327 (= (tptp.hAPP @t1096 (tptp.hAPP @t244 @t1324)) (tptp.hAPP @t244 @t1326)))))))) % 6.41/6.69 (assume @p859 (forall @t1352 (= (tptp.hAPP @t1323 @t1351) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t1323 @t219)) (tptp.hAPP @t1323 @t216))) @t1239)))) % 6.41/6.69 (assume @p860 (forall @t1352 (= (tptp.c_Com_Ocom_Ocom__size @t1351) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t553 (tptp.c_Com_Ocom_Ocom__size @t219)) (tptp.c_Com_Ocom_Ocom__size @t216))) @t1239)))) % 6.41/6.69 (assume @p861 (forall @t243 (=> @t184 (=> (=> @t365 @t1353) @t1247)))) % 6.41/6.69 (assume @p862 (forall @t1357 (=> (tptp.hBOOL (tptp.hAPP @t1100 @t1355)) (= @t1355 (tptp.hAPP tptp.c_Nat_OSuc @t1356))))) % 6.41/6.69 (assume @p863 (forall (@list @t1360 @t1358 @t281 @t1359 @t428 @t58) (=> @t1365 (=> (tptp.hBOOL (tptp.hAPP @t1363 @t1358)) @t1362)))) % 6.41/6.69 (assume @p864 (forall (@list @t1359 @t1358 @t281 @t1360 @t428 @t58) (=> @t1364 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t1360) @t428) @t281) @t1358)) @t1362)))) % 6.41/6.69 (assume @p865 (forall (@list @t33 @t281 @t428 @t1366 @t1359 @t58) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t1367) @t428) @t281) @t33)) (=> (=> @t1364 (not (tptp.hBOOL (tptp.hAPP @t1363 @t33)))) (not (=> @t1365 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln @t1366) @t428) @t281) @t33))))))))) % 6.41/6.69 (assume @p866 (forall (@list @t33 @t428 @t1366 @t1359 @t58) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t1367) @t428) @t33)) (=> (=> @t1364 (not (tptp.hBOOL (tptp.hAPP @t1368 @t33)))) (not (=> @t1365 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t1366) @t428) @t33))))))))) % 6.41/6.69 (assume @p867 (forall (@list @t1359 @t1358 @t1360 @t428 @t58) (=> @t1364 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t1360) @t428) @t1358)) @t1369)))) % 6.41/6.69 (assume @p868 (forall (@list @t1360 @t1358 @t1359 @t428 @t58) (=> @t1365 (=> (tptp.hBOOL (tptp.hAPP @t1368 @t1358)) @t1369)))) % 6.41/6.69 (assume @p869 (forall (@list @t1366 @t1359 @t58) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t1367)) (not (=> @t1370 (not (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t1366)))))))) % 6.41/6.69 (assume @p870 (forall (@list @t215 @t218 @t152 @t216 @t219 @t153) (= (= @t1351 @t1371) (and @t154 @t220 @t217)))) % 6.41/6.69 (assume @p871 (forall @t680 (=> @t725 (= (tptp.c_Groups_Osgn__class_Osgn @t8 @t1350) @t1350)))) % 6.41/6.69 (assume @p872 (forall (@list @t73 @t1054 @t8) (=> @t1374 (= (= @t1373 @t73) (= @t73 @t1373))))) % 6.41/6.69 (assume @p873 (forall @t485 (=> @t1379 (= @t1377 @t328)))) % 6.41/6.69 (assume @p874 (forall @t485 (=> @t1384 (= (tptp.hBOOL (tptp.hAPP @t1383 @t1375)) @t1382)))) % 6.41/6.69 (assume @p875 (forall @t485 (=> @t1384 (= (tptp.hBOOL (tptp.hAPP @t1388 @t1375)) @t1387)))) % 6.41/6.69 (assume @p876 (forall @t1398 (=> @t1378 (= @t1397 @t1393)))) % 6.41/6.69 (assume @p877 (forall @t1398 (=> @t1378 (= @t1393 @t1397)))) % 6.41/6.69 (assume @p878 (forall @t1399 (=> @t1378 (= (tptp.hAPP @t1392 (tptp.hAPP (tptp.hAPP @t676 @t1390) @t513)) (tptp.hAPP (tptp.hAPP @t676 @t1397) @t513))))) % 6.41/6.69 (assume @p879 (forall @t1398 (=> @t1378 (= @t1405 @t1401)))) % 6.41/6.69 (assume @p880 (forall @t1398 (=> @t1378 (= @t1401 @t1405)))) % 6.41/6.69 (assume @p881 (forall @t1399 (=> @t1378 (= (tptp.hAPP @t1400 (tptp.hAPP (tptp.hAPP @t754 @t1390) @t513)) (tptp.hAPP (tptp.hAPP @t754 @t1405) @t513))))) % 6.41/6.69 (assume @p882 (forall @t1398 (=> @t1378 (= (tptp.hAPP @t1372 (tptp.hAPP (tptp.hAPP @t1408 @t1079) @t1389)) @t1407)))) % 6.41/6.69 (assume @p883 (forall @t1398 (=> @t1378 (= @t1407 @t1412)))) % 6.41/6.69 (assume @p884 (forall @t1415 (=> @t1378 (= @t1414 @t1413)))) % 6.41/6.69 (assume @p885 (forall @t1415 (=> @t1378 (= @t1413 @t1414)))) % 6.41/6.69 (assume @p886 (forall (@list @t344 @t346 @t179 @t433 @t178 @t176) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCond @t176 @t178 @t433)) @t179) @t346) @t344)) (or (and @t1417 @t1420) (and @t1418 @t1416))))) % 6.41/6.69 (assume @p887 (forall (@list @t344 @t346 @t179 @t178 @t433 @t176) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCond @t176 @t433 @t178)) @t179) @t346) @t344)) (or (and @t1417 @t1416) (and @t1418 @t1420))))) % 6.41/6.69 (assume @p888 (forall (@list @t346 @t179 @t178 @t344 @t176) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCond @t176 @t344 @t178)) @t179) @t346)) (or (and @t1417 @t1423) (and @t1418 @t1422))))) % 6.41/6.69 (assume @p889 (forall (@list @t346 @t179 @t344 @t178 @t176) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCond @t176 @t178 @t344)) @t179) @t346)) (or (and @t1417 @t1422) (and @t1418 @t1423))))) % 6.41/6.69 (assume @p890 (forall (@list @t216 @t219 @t153 @t90) (not (= @t93 @t1351)))) % 6.41/6.69 (assume @p891 (forall (@list @t90 @t216 @t219 @t153) (not (= @t1351 @t93)))) % 6.41/6.69 (assume @p892 (forall (@list @t179 @t176 @t178) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCond @t178 @t176 @t179))) @t235))) % 6.41/6.69 (assume @p893 (forall (@list @t58 @t1359 @t1360) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t1360)) (=> @t1370 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t1361)))))) % 6.41/6.69 (assume @p894 (forall (@list @t216 @t219 @t153 @t152 @t90 @t155) (not (= @t157 @t1351)))) % 6.41/6.69 (assume @p895 (forall (@list @t152 @t90 @t155 @t216 @t219 @t153) (not (= @t1351 @t157)))) % 6.41/6.69 (assume @p896 (forall (@list @t215 @t218 @t152 @t216 @t219) (not (= @t222 @t1371)))) % 6.41/6.69 (assume @p897 (forall (@list @t216 @t219 @t215 @t218 @t152) (not (= @t1371 @t222)))) % 6.41/6.69 (assume @p898 (forall @t1424 (not (= tptp.c_Com_Ocom_OSKIP @t1371)))) % 6.41/6.69 (assume @p899 (forall @t1424 (not (= @t1371 tptp.c_Com_Ocom_OSKIP)))) % 6.41/6.69 (assume @p900 (forall @t150 (=> @t1348 (= (tptp.c_Groups_Osgn__class_Osgn @t8 @t1082) @t1082)))) % 6.41/6.69 (assume @p901 (forall @t14 (=> @t725 (= (= @t1349 @t1082) @t1122)))) % 6.41/6.69 (assume @p902 (forall @t502 (=> @t725 (= (tptp.c_Groups_Osgn__class_Osgn @t8 @t796) (tptp.hAPP (tptp.hAPP @t754 @t1350) (tptp.c_Groups_Osgn__class_Osgn @t8 @t39)))))) % 6.41/6.69 (assume @p903 (forall @t1427 (=> (and @t1374 @t484) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1425) @t1373)) (not (tptp.hBOOL (tptp.hAPP @t1426 @t1425))))))) % 6.41/6.69 (assume @p904 (forall @t1436 (=> @t1435 (= (tptp.hAPP (tptp.hAPP @t1430 (tptp.hAPP (tptp.hAPP @t1433 @t348) @t39)) @t1429) (tptp.hAPP (tptp.hAPP @t1433 @t1432) @t1431))))) % 6.41/6.69 (assume @p905 (forall @t1440 (=> @t1435 (= (tptp.hAPP @t1437 (tptp.hAPP (tptp.hAPP @t1433 @t39) @t333)) (tptp.hAPP (tptp.hAPP @t1433 @t1439) @t1438))))) % 6.41/6.69 (assume @p906 (forall (@list @t1389 @t333 @t1079 @t8) (=> @t1378 (= (tptp.hAPP @t1392 (tptp.hAPP (tptp.hAPP @t392 @t333) @t1390)) (tptp.hAPP (tptp.hAPP @t676 @t1412) @t333))))) % 6.41/6.69 (assume @p907 (forall (@list @t333 @t1389 @t1079 @t8) (=> @t1378 (= (tptp.hAPP @t1392 (tptp.hAPP (tptp.hAPP @t392 @t1390) @t333)) (tptp.hAPP (tptp.hAPP @t392 @t1397) @t333))))) % 6.41/6.69 (assume @p908 (forall @t1440 (=> @t1443 (= (tptp.hAPP @t1437 (tptp.hAPP (tptp.hAPP @t1441 @t39) @t333)) (tptp.hAPP (tptp.hAPP @t1441 @t1439) @t1438))))) % 6.41/6.69 (assume @p909 (forall @t1436 (=> @t1443 (= (tptp.hAPP (tptp.hAPP @t1430 (tptp.hAPP (tptp.hAPP @t1441 @t348) @t39)) @t1429) (tptp.hAPP (tptp.hAPP @t1441 @t1432) @t1431))))) % 6.41/6.69 (assume @p910 (forall @t1444 (=> @t1378 (= (tptp.hAPP (tptp.hAPP @t754 @t1414) @t513) (tptp.hAPP (tptp.hAPP @t754 @t1413) @t513))))) % 6.41/6.69 (assume @p911 (forall @t1446 (=> @t1378 (tptp.hBOOL (tptp.hAPP @t1445 @t1321))))) % 6.41/6.69 (assume @p912 (forall @t14 (=> @t725 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t1349) @t1082)) @t1209)))) % 6.41/6.69 (assume @p913 (forall @t14 (=> @t725 (= (tptp.hBOOL (tptp.hAPP @t1204 @t1349)) @t1211)))) % 6.41/6.69 (assume @p914 (forall @t680 (=> @t725 (=> @t1205 (= @t1350 @t675))))) % 6.41/6.69 (assume @p915 (forall @t14 (=> @t725 (= (= @t1349 @t675) @t1211)))) % 6.41/6.69 (assume @p916 (forall @t1450 (= (tptp.c_Com_Ocom_Ocom__size @t1449) @t1447))) % 6.41/6.69 (assume @p917 (forall @t1450 (= (tptp.hAPP @t1323 @t1449) @t1451))) % 6.41/6.69 (assume @p918 (forall @t1415 (=> @t1378 (= (tptp.hAPP @t1372 (tptp.c_Int_Opred @t1389)) (tptp.hAPP (tptp.hAPP @t676 @t809) @t1390))))) % 6.41/6.69 (assume @p919 (forall @t185 (=> @t757 (=> @t184 (=> @t366 @t1452))))) % 6.41/6.69 (assume @p920 (forall (@list @t244) (=> tptp.c_Hoare__Mirabelle_Ostate__not__singleton (=> tptp.c_Com_OWT__bodies (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16) @t244) (tptp.hAPP @t1456 @t79))) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate (tptp.hAPP @t1454 @t79) @t244)))))) % 6.41/6.69 (assume @p921 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t1074)) % 6.41/6.69 (assume @p922 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t1074)) % 6.41/6.69 (assume @p923 (forall @t1459 (=> @t1378 (= (tptp.hAPP @t1372 @t1458) (tptp.hAPP @t1066 @t1457))))) % 6.41/6.69 (assume @p924 (forall (@list @t18 @t13 @t1460) (=> @t1461 @t23))) % 6.41/6.69 (assume @p925 (forall @t1465 (= (tptp.hAPP (tptp.hAPP @t1408 @t1464) @t1463) (tptp.hAPP @t1462 @t1411)))) % 6.41/6.69 (assume @p926 (forall @t1467 (= @t1466 (tptp.hAPP @t1462 @t1410)))) % 6.41/6.69 (assume @p927 (forall @t1465 (= (tptp.hAPP (tptp.hAPP @t1402 @t1464) @t1463) (tptp.hAPP @t1462 @t1404)))) % 6.41/6.69 (assume @p928 (forall @t1473 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t1472) @t1471)) @t1470))) % 6.41/6.69 (assume @p929 (forall @t1473 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1472) @t1471)) @t1475))) % 6.41/6.69 (assume @p930 (forall @t1465 (= (tptp.hAPP @t1476 @t1463) (tptp.hAPP @t1462 @t1396)))) % 6.41/6.69 (assume @p931 (forall @t1484 (and (=> @t1483 (= @t1479 @t1480)) (=> (not @t1483) (and (=> @t1482 (= @t1479 @t1477)) (=> (not @t1482) (= @t1479 @t1478))))))) % 6.41/6.69 (assume @p932 (forall @t610 (=> @t1488 (=> @t1486 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 (tptp.hAPP @t1485 @t592)) (tptp.hAPP @t1485 @t562))))))) % 6.41/6.69 (assume @p933 (forall @t634 (=> (tptp.hBOOL (tptp.hAPP @t1481 @t378)) (= @t1490 @t1489)))) % 6.41/6.69 (assume @p934 (forall @t1495 (=> @t1494 (tptp.hBOOL (tptp.hAPP @t1481 @t1492))))) % 6.41/6.69 (assume @p935 (forall @t1498 (= (tptp.hBOOL (tptp.hAPP @t1497 @t261)) @t1496))) % 6.41/6.69 (assume @p936 (forall @t1495 (= (tptp.hAPP @t1500 @t513) @t1480))) % 6.41/6.69 (assume @p937 (= (tptp.hAPP @t1409 @t1480) @t1480)) % 6.41/6.69 (assume @p938 (tptp.hBOOL (tptp.hAPP @t1481 @t1477))) % 6.41/6.69 (assume @p939 (forall @t1498 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1491 @t261)) @t261)) @t1480)) @t1502))) % 6.41/6.69 (assume @p940 (forall @t1473 (= @t1475 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1503) @t1480))))) % 6.41/6.69 (assume @p941 (forall @t1495 (not (= (tptp.hAPP (tptp.hAPP @t1394 @t1492) @t513) @t1480)))) % 6.41/6.69 (assume @p942 (forall @t1495 (= (tptp.hAPP (tptp.hAPP @t1394 @t1480) @t513) @t513))) % 6.41/6.69 (assume @p943 (forall @t1495 (= (tptp.hAPP @t1504 @t1480) @t513))) % 6.41/6.69 (assume @p944 (forall @t1506 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t8 @t1505) @t1460) @t1460))) % 6.41/6.69 (assume @p945 (forall (@list @t51 @t1 @t210 @t2 @t8 @t74) (= (tptp.hAPP @t1093 (tptp.hAPP @t1508 @t51)) (tptp.hAPP (tptp.c_Set_Oimage @t210 @t8 (tptp.hAPP (tptp.hAPP @t1507 @t2) @t1)) @t51)))) % 6.41/6.69 (assume @p946 (forall @t1509 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t95)) @t95))) % 6.41/6.69 (assume @p947 (forall @t1512 (= @t1511 (tptp.hAPP @t1510 @t1477)))) % 6.41/6.69 (assume @p948 (forall @t1518 (= (tptp.hAPP (tptp.hAPP @t1394 @t1517) @t1513) (tptp.hAPP @t1516 (tptp.hAPP (tptp.hAPP @t1394 @t1514) @t1513))))) % 6.41/6.69 (assume @p949 (forall @t577 (= (tptp.hAPP @t1519 (tptp.hAPP @t1520 @t513)) (tptp.hAPP @t1520 (tptp.hAPP @t1519 @t513))))) % 6.41/6.69 (assume @p950 (forall @t1524 (= @t1523 @t1522))) % 6.41/6.69 (assume @p951 (forall @t1512 (= @t1458 (tptp.hAPP @t1525 @t1477)))) % 6.41/6.69 (assume @p952 (forall @t610 (=> @t1488 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 (tptp.hAPP @t1526 @t561)) (tptp.hAPP (tptp.hAPP @t1394 @t562) @t561)))))) % 6.41/6.69 (assume @p953 (forall @t1531 (= @t1530 (or @t1529 @t1527)))) % 6.41/6.69 (assume @p954 (forall @t654 (or (tptp.hBOOL (tptp.hAPP @t1533 @t284)) @t489 (tptp.hBOOL (tptp.hAPP @t1532 @t95))))) % 6.41/6.69 (assume @p955 (forall @t1524 (=> @t1537 (=> @t1535 (= @t513 @t1389))))) % 6.41/6.69 (assume @p956 (forall @t610 (=> @t1539 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t562) @t561)) (tptp.hBOOL (tptp.hAPP @t1538 @t561)))))) % 6.41/6.69 (assume @p957 (forall @t1518 (= (tptp.hAPP (tptp.hAPP @t1402 (tptp.hAPP @t1541 @t1514)) @t1513) (tptp.hAPP @t1541 (tptp.hAPP @t1540 @t1513))))) % 6.41/6.69 (assume @p958 (forall @t1524 (= (tptp.hAPP (tptp.hAPP @t1402 @t1499) @t1389) (tptp.hAPP @t1409 @t1543)))) % 6.41/6.69 (assume @p959 (forall @t1524 (or @t1537 @t1535))) % 6.41/6.69 (assume @p960 (forall @t1524 (= @t1543 @t1545))) % 6.41/6.69 (assume @p961 (forall @t1495 (= (tptp.hAPP @t1409 @t1499) @t513))) % 6.41/6.69 (assume @p962 (forall @t1467 (tptp.hBOOL (tptp.hAPP @t1534 @t1389)))) % 6.41/6.69 (assume @p963 (forall @t1549 (= (tptp.hAPP @t1544 @t1548) (tptp.hAPP (tptp.hAPP @t1408 @t1547) @t1546)))) % 6.41/6.69 (assume @p964 (forall @t1552 (= (tptp.hAPP (tptp.hAPP @t1402 @t1548) @t1389) (tptp.hAPP (tptp.hAPP @t1408 @t1551) @t1550)))) % 6.41/6.69 (assume @p965 (forall @t1495 (= (tptp.hAPP @t1542 @t1477) @t513))) % 6.41/6.69 (assume @p966 (forall @t1495 (= (tptp.hAPP (tptp.hAPP @t1402 @t1477) @t513) @t513))) % 6.41/6.69 (assume @p967 (forall @t610 (=> @t1539 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 (tptp.hAPP @t1525 @t592)) (tptp.hAPP @t1525 @t562)))))) % 6.41/6.69 (assume @p968 (forall @t1552 (= (tptp.hAPP (tptp.hAPP @t1402 @t1517) @t1389) (tptp.hAPP (tptp.hAPP @t1394 @t1551) @t1550)))) % 6.41/6.69 (assume @p969 (forall @t1549 (= (tptp.hAPP @t1544 @t1517) (tptp.hAPP (tptp.hAPP @t1394 @t1547) @t1546)))) % 6.41/6.69 (assume @p970 (forall @t1524 (= (tptp.hAPP @t1409 @t1523) (tptp.hAPP @t1500 @t1410)))) % 6.41/6.69 (assume @p971 (forall @t1473 (= @t1470 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 (tptp.c_Int_Opred @t205)) @t1468))))) % 6.41/6.69 (assume @p972 (forall @t1554 (= (tptp.hBOOL (tptp.hAPP @t1501 @t1054)) (and (tptp.hBOOL (tptp.hAPP @t1553 @t1054)) (not (= @t261 @t1054)))))) % 6.41/6.69 (assume @p973 (forall @t1531 (= @t1530 @t1556))) % 6.41/6.69 (assume @p974 (forall @t1531 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 (tptp.hAPP @t1557 @t1477)) @t261)) @t1529))) % 6.41/6.69 (assume @p975 (forall @t1558 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1389) @t513)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 (tptp.hAPP @t1521 @t1477)) @t513))))) % 6.41/6.69 (assume @p976 (forall (@list @t513 @t1559 @t1389 @t1560) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1560) @t1389)) (=> @t1561 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 (tptp.hAPP (tptp.hAPP @t1394 @t1560) @t1559)) @t1522)))))) % 6.41/6.69 (assume @p977 (forall @t1524 (= @t1564 @t1562))) % 6.41/6.69 (assume @p978 (forall @t1524 (= @t1562 @t1564))) % 6.41/6.69 (assume @p979 (forall @t1531 (= (tptp.hBOOL (tptp.hAPP @t1555 (tptp.hAPP @t1565 @t1477))) @t1529))) % 6.41/6.69 (assume @p980 (forall (@list @t58 @t2 @t74 @t8 @t13 @t73) (and (=> @t424 (= @t1566 @t58)) (=> @t425 (= @t1566 @t115))))) % 6.41/6.69 (assume @p981 (forall (@list @t163 @t152 @t1567 @t164 @t153 @t1448) (= (= @t1449 @t1568) (and (= @t1448 @t1567) @t154 @t165)))) % 6.41/6.69 (assume @p982 (forall (@list @t1569 @t73 @t8 @t74) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t408 @t1570) @t73) @t149) @t1569) @t149))) % 6.41/6.69 (assume @p983 (forall @t1572 (= (tptp.c_Map_Omap__add @t8 @t74 @t378 @t1571) @t378))) % 6.41/6.69 (assume @p984 (forall @t1572 (= (tptp.c_Map_Omap__add @t8 @t74 @t1571 @t378) @t378))) % 6.41/6.69 (assume @p985 (forall (@list @t73 @t206 @t203 @t8 @t74) (= (tptp.hAPP (tptp.c_Map_Omap__add @t74 @t8 @t203 @t206) @t73) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t407 @t8 (tptp.hAPP @t203 @t73) @t87) (tptp.hAPP @t206 @t73))))) % 6.41/6.69 (assume @p986 (forall (@list @t73 @t454 @t8 @t74) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t74 @t8 @t1570 @t454) @t73) @t149))) % 6.41/6.69 (assume @p987 (forall (@list @t261 @t2 @t8 @t74) (= (tptp.hAPP @t1573 @t386) @t261))) % 6.41/6.69 (assume @p988 (forall @t1574 (= (tptp.c_Map_Omap__comp @t74 @t8 @t210 @t1570 @t378 @t73) @t149))) % 6.41/6.69 (assume @p989 (forall @t1574 (= (tptp.c_Map_Omap__comp @t74 @t8 @t210 @t378 @t1575 @t73) @t149))) % 6.41/6.69 (assume @p990 (forall (@list @t205 @t1 @t2 @t210 @t8 @t74) (= (tptp.c_Map_Omap__comp @t74 @t8 @t210 @t2 @t1 @t205) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t407 @t74 @t149 @t2) (tptp.hAPP @t1 @t205))))) % 6.41/6.69 (assume @p991 (forall @t316 (=> @t184 (= @t1581 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t55 @t1580) @t289) @t51))))) % 6.41/6.69 (assume @p992 (forall @t1585 (and (=> @t248 (= @t1583 @t386)) (=> @t249 @t1584)))) % 6.41/6.69 (assume @p993 (forall @t1144 (= @t655 @t922))) % 6.41/6.69 (assume @p994 (forall @t1586 (= (tptp.c_Map_Odom @t8 @t74 @t1571) @t56))) % 6.41/6.69 (assume @p995 (forall @t1588 (= (= @t1587 @t56) (= @t2 @t1571)))) % 6.41/6.69 (assume @p996 (forall @t528 (and @t527 @t529))) % 6.41/6.69 (assume @p997 (forall (@list @t73 @t378 @t8 @t74) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t74 @t8 @t378 @t386) @t73) @t149))) % 6.41/6.69 (assume @p998 (forall (@list @t73 @t205 @t33 @t74 @t8) (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 @t33) @t205) @t420) @t1571)))) % 6.41/6.69 (assume @p999 (forall (@list @t90 @t164 @t153 @t1448) (not (= @t1449 @t93)))) % 6.41/6.69 (assume @p1000 (forall (@list @t164 @t153 @t1448 @t90) (not (= @t93 @t1449)))) % 6.41/6.69 (assume @p1001 (forall (@list @t13 @t1460 @t18) (=> @t23 @t1461))) % 6.41/6.69 (assume @p1002 (forall (@list @t176 @t178 @t179) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t179 @t178 @t176))) @t234))) % 6.41/6.69 (assume @p1003 (forall (@list @t215 @t218 @t152 @t164 @t153 @t1448) (not (= @t1449 @t1371)))) % 6.41/6.69 (assume @p1004 (forall (@list @t164 @t153 @t1448 @t215 @t218 @t152) (not (= @t1371 @t1449)))) % 6.41/6.69 (assume @p1005 (forall @t1589 (= (tptp.c_Map_Oran @t74 @t8 @t1570) @t56))) % 6.41/6.69 (assume @p1006 (forall (@list @t215 @t218 @t164 @t153 @t1448) (not (= @t1449 @t221)))) % 6.41/6.69 (assume @p1007 (forall (@list @t164 @t153 @t1448 @t215 @t218) (not (= @t221 @t1449)))) % 6.41/6.69 (assume @p1008 (forall (@list @t152 @t90 @t155 @t164 @t153 @t1448) (not (= @t1449 @t157)))) % 6.41/6.69 (assume @p1009 (forall (@list @t164 @t153 @t1448 @t152 @t90 @t155) (not (= @t157 @t1449)))) % 6.41/6.69 (assume @p1010 (forall @t1590 (not (= @t1568 tptp.c_Com_Ocom_OSKIP)))) % 6.41/6.69 (assume @p1011 (forall @t1590 (not (= tptp.c_Com_Ocom_OSKIP @t1568)))) % 6.41/6.69 (assume @p1012 (forall (@list @t18 @t74 @t51 @t73 @t8) (=> @t323 @t1584))) % 6.41/6.69 (assume @p1013 (forall @t26 (= @t19 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t146 tptp.c_fequal) @t18) @t431)))) % 6.41/6.69 (assume @p1014 (forall @t451 (= (= @t1587 @t86) (exists @t1592 (= @t2 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 @t1571) @t73) (tptp.hAPP @t127 @t1591))))))) % 6.41/6.69 (assume @p1015 (forall (@list @t13 @t51 @t244 @t2 @t8) (=> @t251 (=> @t184 (= (tptp.hAPP @t244 @t54) (tptp.hAPP (tptp.hAPP @t1593 @t13) @t51)))))) % 6.41/6.69 (assume @p1016 (forall @t185 (=> @t851 (=> @t184 @t1452)))) % 6.41/6.69 (assume @p1017 (forall @t252 (=> @t264 (=> @t184 (=> @t353 (= @t247 (tptp.hAPP (tptp.hAPP @t1593 @t73) @t51))))))) % 6.41/6.69 (assume @p1018 (forall @t1601 (=> @t1600 (=> @t1599 (=> @t1596 (tptp.hBOOL (tptp.hAPP @t1595 @t1477))))))) % 6.41/6.69 (assume @p1019 (forall @t1601 (=> @t1600 (=> @t1599 (=> (tptp.hBOOL (tptp.hAPP @t1602 @t348)) (tptp.hBOOL (tptp.hAPP @t1497 @t1594))))))) % 6.41/6.69 (assume @p1020 (forall @t1611 (=> @t1610 (=> @t1608 (=> @t1605 (tptp.hBOOL (tptp.hAPP @t1493 @t1603))))))) % 6.41/6.69 (assume @p1021 (forall @t1611 (=> @t1614 (=> @t1613 (=> @t1605 (tptp.hBOOL (tptp.hAPP @t1612 @t1480))))))) % 6.41/6.69 (assume @p1022 (forall @t1620 (=> @t1619 (=> @t1613 (=> (tptp.hBOOL (tptp.hAPP @t1607 @t39)) (=> @t1616 @t1615)))))) % 6.41/6.69 (assume @p1023 (forall @t1624 (=> @t1623 (=> @t1610 (=> @t1608 (=> @t1596 (=> @t1605 (=> @t1622 @t1621)))))))) % 6.41/6.69 (assume @p1024 (forall @t1620 (=> @t1619 (=> @t1627 (=> @t1626 (=> (tptp.hBOOL (tptp.hAPP @t1625 @t1606)) @t1621)))))) % 6.41/6.69 (assume @p1025 (forall @t1624 (=> @t1623 (=> @t1614 (=> @t1616 (=> @t1613 (=> @t1605 (=> @t1622 @t1615)))))))) % 6.41/6.69 (assume @p1026 (forall @t1512 (= (tptp.hAPP @t1462 @t561) @t561))) % 6.41/6.69 (assume @p1027 (not (= @t1480 @t1477))) % 6.41/6.69 (assume @p1028 (forall @t654 (=> @t1630 (=> @t1629 (tptp.hBOOL (tptp.hAPP @t1493 @t1628)))))) % 6.41/6.69 (assume @p1029 (tptp.hBOOL (tptp.hAPP @t1493 @t1477))) % 6.41/6.69 (assume @p1030 (forall @t654 (=> @t1630 (=> @t1629 (tptp.hBOOL (tptp.hAPP @t1493 @t1631)))))) % 6.41/6.69 (assume @p1031 (forall @t81 (=> tptp.c_Hoare__Mirabelle_Ostate__not__singleton (=> @t1645 @t78)))) % 6.41/6.69 (assume @p1032 (forall (@list @t1646 @t12) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t16) @t12) @t1647) (tptp.hAPP @t1456 @t1646)) (=> (tptp.hBOOL (tptp.hAPP @t148 @t1646)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t12 @t1647))))) % 6.41/6.69 (assume @p1033 (forall (@list @t46 @t1646 @t116 @t117 @t12 @t8) (=> @t1655 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t80 @t46) @t1646)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t117 @t46)) @t47) (tptp.hAPP @t116 @t46))) @t11)))))) % 6.41/6.69 (assume @p1034 (forall @t1661 (=> @t1660 (=> @t184 (=> @t323 (= @t1659 @t1658)))))) % 6.41/6.69 (assume @p1035 (forall @t1666 (=> (=> @t295 @t292) @t1665))) % 6.41/6.69 (assume @p1036 (forall @t313 (=> @t1665 @t294))) % 6.41/6.69 (assume @p1037 (forall @t1669 (= (forall @t7 (=> @t1668 @t135)) (and (forall @t7 (=> @t363 @t135)) (forall @t7 (=> @t1667 @t135)))))) % 6.41/6.69 (assume @p1038 (forall @t1669 (= (exists @t7 (and @t1668 @t135)) (or (exists @t7 (and @t363 @t135)) (exists @t7 (and @t1667 @t135)))))) % 6.41/6.69 (assume @p1039 (forall @t724 (= (tptp.hAPP (tptp.hAPP @t1662 @t1664) @t721) @t1672))) % 6.41/6.69 (assume @p1040 (forall @t724 (= @t1672 (tptp.hAPP @t1670 @t1673)))) % 6.41/6.69 (assume @p1041 (forall @t316 (= (tptp.hAPP @t1663 @t1664) @t1664))) % 6.41/6.69 (assume @p1042 (forall @t316 (= @t1664 @t1674))) % 6.41/6.69 (assume @p1043 (forall @t243 (= (tptp.hAPP @t1663 @t51) @t51))) % 6.41/6.69 (assume @p1044 (forall @t541 (=> @t1660 (= (tptp.hAPP @t115 (tptp.hAPP @t1676 @t261)) (tptp.hAPP @t1676 @t1675))))) % 6.41/6.69 (assume @p1045 (forall @t1679 (=> @t1678 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t75) @t2) @t1) @t73) (tptp.hAPP (tptp.hAPP @t1677 @t115) @t253))))) % 6.41/6.69 (assume @p1046 (forall @t516 (=> @t1686 @t1685))) % 6.41/6.69 (assume @p1047 (forall @t516 (=> @t1678 @t1685))) % 6.41/6.69 (assume @p1048 (forall @t508 (=> @t1686 (= (tptp.hAPP (tptp.hAPP @t1677 @t1690) @t333) @t1689)))) % 6.41/6.69 (assume @p1049 (forall @t516 (=> @t1686 @t1692))) % 6.41/6.69 (assume @p1050 (forall @t516 (=> @t1678 @t1692))) % 6.41/6.69 (assume @p1051 (forall @t512 (=> @t1686 (= (tptp.hAPP @t1687 (tptp.hAPP @t1688 @t333)) @t1689)))) % 6.41/6.69 (assume @p1052 (forall @t491 (=> @t1686 @t1693))) % 6.41/6.69 (assume @p1053 (forall @t491 (=> @t1678 @t1693))) % 6.41/6.69 (assume @p1054 (forall @t502 (=> @t1686 (= (tptp.hAPP @t1688 @t1690) @t1690)))) % 6.41/6.69 (assume @p1055 (forall @t491 (=> @t1686 @t1695))) % 6.41/6.69 (assume @p1056 (forall @t491 (=> @t1678 @t1695))) % 6.41/6.69 (assume @p1057 (forall @t502 (=> @t1686 (= @t1690 (tptp.hAPP @t1687 @t348))))) % 6.41/6.69 (assume @p1058 (forall @t97 (=> @t1686 @t1696))) % 6.41/6.69 (assume @p1059 (forall @t680 (=> @t1686 (= (tptp.hAPP @t1688 @t348) @t348)))) % 6.41/6.69 (assume @p1060 (forall @t1699 (=> @t1660 (tptp.c_Finite__Set_Ofun__left__comm @t210 @t74 @t1698)))) % 6.41/6.69 (assume @p1061 (forall @t1705 (=> @t1686 (=> @t1704 @t1702)))) % 6.41/6.69 (assume @p1062 (forall @t1707 (=> @t1686 (=> @t834 (=> @t1706 (tptp.hBOOL (tptp.hAPP @t1703 (tptp.hAPP (tptp.hAPP @t1677 @t333) @t715)))))))) % 6.41/6.69 (assume @p1063 (forall @t520 (=> @t1686 (=> @t816 (=> @t825 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1681) @t95))))))) % 6.41/6.69 (assume @p1064 (forall @t1708 (=> @t1686 (=> @t1701 (=> @t1700 @t1704))))) % 6.41/6.69 (assume @p1065 (forall @t827 (=> @t1686 (=> @t816 (= @t1684 @t95))))) % 6.41/6.69 (assume @p1066 (forall @t491 (=> @t1686 (=> @t817 (= @t1684 @t284))))) % 6.41/6.69 (assume @p1067 (forall @t1711 (=> @t1686 (=> @t1710 @t1709)))) % 6.41/6.69 (assume @p1068 (forall @t1712 (=> @t1686 (=> @t1296 @t1709)))) % 6.41/6.69 (assume @p1069 (forall @t1718 (=> @t1686 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1717) @t261)) @t1715)))) % 6.41/6.69 (assume @p1070 (forall @t485 (=> @t1686 (= @t839 (= @t1717 @t100))))) % 6.41/6.69 (assume @p1071 (forall @t827 (=> @t1686 @t1719))) % 6.41/6.69 (assume @p1072 (forall @t827 (=> @t1678 @t1719))) % 6.41/6.69 (assume @p1073 (forall @t491 (=> @t1686 @t1720))) % 6.41/6.69 (assume @p1074 (forall @t491 (=> @t1678 @t1720))) % 6.41/6.69 (assume @p1075 (forall @t1711 (=> @t1686 (=> @t1722 @t1721)))) % 6.41/6.69 (assume @p1076 (forall @t1712 (=> @t1686 (=> @t1086 @t1721)))) % 6.41/6.69 (assume @p1077 (forall @t485 (=> @t1723 (= (= @t1717 @t72) (and (= @t73 @t72) (= @t100 @t72)))))) % 6.41/6.69 (assume @p1078 (forall @t97 (=> @t1723 (= (tptp.hAPP @t1682 @t72) @t95)))) % 6.41/6.69 (assume @p1079 (forall @t97 (=> @t1723 (= (tptp.hAPP (tptp.hAPP @t1677 @t72) @t95) @t95)))) % 6.41/6.69 (assume @p1080 (forall @t1666 (=> @t291 @t1665))) % 6.41/6.69 (assume @p1081 (forall @t313 (=> @t292 @t1665))) % 6.41/6.69 (assume @p1082 (forall @t313 (= @t1665 (or @t292 @t291)))) % 6.41/6.69 (assume @p1083 (forall @t316 (= (= @t1664 @t56) (and @t248 @t1005)))) % 6.41/6.69 (assume @p1084 (forall @t243 (= (tptp.hAPP @t1663 @t56) @t51))) % 6.41/6.69 (assume @p1085 (forall @t1724 (= (tptp.hAPP (tptp.hAPP @t1662 @t56) @t289) @t289))) % 6.41/6.69 (assume @p1086 (forall @t1727 (= @t1726 (and @t776 @t1725)))) % 6.41/6.69 (assume @p1087 (forall @t1727 (=> @t776 (=> @t1725 @t1726)))) % 6.41/6.69 (assume @p1088 (forall (@list @t721 @t289 @t13 @t8) (= (tptp.hAPP (tptp.hAPP @t1662 @t367) @t721) (tptp.hAPP @t53 @t1671)))) % 6.41/6.69 (assume @p1089 (forall @t373 (= (tptp.hAPP @t1663 @t367) (tptp.hAPP @t53 @t1664)))) % 6.41/6.69 (assume @p1090 (forall @t1731 (=> @t835 (=> @t1730 (tptp.hBOOL (tptp.hAPP @t1729 (tptp.hAPP @t1728 @t454))))))) % 6.41/6.69 (assume @p1091 (forall @t1732 (=> @t835 (=> @t836 (tptp.hBOOL (tptp.hAPP @t1729 @t721)))))) % 6.41/6.69 (assume @p1092 (forall @t362 (=> @t780 (= @t1664 @t51)))) % 6.41/6.69 (assume @p1093 (forall @t316 (=> @t746 @t1733))) % 6.41/6.69 (assume @p1094 (forall @t316 (= @t746 @t1733))) % 6.41/6.69 (assume @p1095 (forall @t362 (tptp.hBOOL (tptp.hAPP @t779 @t1664)))) % 6.41/6.69 (assume @p1096 (forall @t316 (tptp.hBOOL (tptp.hAPP @t745 @t1664)))) % 6.41/6.69 (assume @p1097 (forall @t1737 (= (tptp.hAPP @t1093 @t1736) (tptp.hAPP (tptp.hAPP @t1662 @t1094) @t1109)))) % 6.41/6.69 (assume @p1098 (forall @t724 (= (tptp.hAPP (tptp.hAPP @t309 @t1664) @t721) (tptp.hAPP (tptp.hAPP @t1662 @t1739) @t1738)))) % 6.41/6.69 (assume @p1099 (forall @t362 (= (tptp.hAPP (tptp.hAPP @t1662 @t1581) @t51) @t1674))) % 6.41/6.69 (assume @p1100 (forall @t316 (= @t1740 @t1664))) % 6.41/6.69 (assume @p1101 (forall (@list @t33 @t281 @t8) (= (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t281 @t33) (tptp.hBOOL (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t8 tptp.tc_HOL_Obool (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1753 (tptp.tc_fun tptp.tc_Com_Ocom @t1755) @t1648) (tptp.hAPP (tptp.c_COMBB @t1752 @t1755 tptp.tc_Com_Ocom) (tptp.hAPP (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t1648) @t1754))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1751 @t1753 @t1648) (tptp.hAPP (tptp.c_COMBB @t1746 @t1752 tptp.tc_Com_Ocom) (tptp.hAPP (tptp.c_COMBB @t1648 @t55 @t1648) (tptp.hAPP (tptp.c_COMBB @t1636 tptp.tc_HOL_Obool @t8) @t1643)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1648 @t1751 @t1751) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1750 (tptp.tc_fun @t1751 @t1751) @t1648) (tptp.c_COMBB @t1746 @t1746 tptp.tc_Com_Ocom)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1746 @t1750 @t1648) (tptp.c_COMBB @t1648 @t1648 @t1648)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1749 @t1746 @t1648) (tptp.c_COMBS @t8 @t1636 @t1636)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t8 @t1635) @t1749 @t1648) @t1748) (tptp.hAPP @t1747 @t1634)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1745 @t1746 tptp.tc_Com_Ocom) (tptp.hAPP (tptp.c_COMBB @t1744 @t1648 @t1648) (tptp.hAPP (tptp.c_COMBB @t1642 @t1636 @t8) @t1644))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1743 @t1745 tptp.tc_Com_Ocom) (tptp.c_COMBB @t1636 @t1642 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1742 @t1743 tptp.tc_Com_Ocom) @t1641) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1741 @t1742 tptp.tc_Com_Ocom) @t1640) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1642 @t1741 tptp.tc_Com_Ocom) @t1637) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ocom tptp.tc_Nat_Onat @t1642) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Com_Ostate (tptp.tc_fun tptp.tc_Nat_Onat @t1636)) (tptp.tc_fun tptp.tc_Nat_Onat @t1642) tptp.tc_Com_Ocom) (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Nat_Onat @t1636)) tptp.c_Natural_Oevaln)) @t281))))))))) @t33))))) % 6.41/6.69 (assume @p1102 (forall @t150 (=> @t757 (tptp.c_Finite__Set_Ofun__left__comm @t8 @t8 @t754)))) % 6.41/6.69 (assume @p1103 (forall @t57 (= @t54 (tptp.hAPP (tptp.hAPP @t1662 @t70) @t51)))) % 6.41/6.69 (assume @p1104 (forall @t447 (=> @t1660 (=> @t440 (=> @t443 @t101))))) % 6.41/6.69 (assume @p1105 (forall @t316 (=> @t746 (= @t1740 @t289)))) % 6.41/6.69 (assume @p1106 (forall @t724 (= (tptp.hBOOL (tptp.hAPP @t938 @t721)) (tptp.hBOOL (tptp.hAPP @t745 @t1671))))) % 6.41/6.69 (assume @p1107 (forall @t316 (= (tptp.hAPP @t749 @t311) (tptp.hAPP @t1756 @t289)))) % 6.41/6.69 (assume @p1108 (forall (@list @t281 @t378 @t74 @t8) (= (tptp.c_Map_Odom @t8 @t74 (tptp.c_Map_Omap__add @t8 @t74 @t378 @t281)) (tptp.hAPP (tptp.hAPP @t1662 (tptp.c_Map_Odom @t8 @t74 @t281)) @t380)))) % 6.41/6.69 (assume @p1109 (forall @t999 (=> @t262 (=> @t260 (=> @t765 @t1759))))) % 6.41/6.69 (assume @p1110 (forall @t1661 (=> @t1660 (=> @t184 (= @t1761 @t1760))))) % 6.41/6.69 (assume @p1111 (forall @t1007 (=> @t251 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 @t1763))))))) % 6.41/6.69 (assume @p1112 (forall (@list @t100 @t51 @t261 @t2 @t74 @t8) (=> @t1660 (=> @t443 (= @t1659 @t100))))) % 6.41/6.69 (assume @p1113 (forall @t316 (=> @t184 (= @t1664 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t55 @t52) @t289) @t51))))) % 6.41/6.69 (assume @p1114 (forall @t316 (=> @t851 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 @t1764))))))) % 6.41/6.69 (assume @p1115 (forall (@list @t261 @t51 @t2 @t74 @t8) (=> @t1660 (=> @t184 (tptp.hBOOL (tptp.hAPP @t439 @t1659)))))) % 6.41/6.69 (assume @p1116 (forall @t1661 (=> @t1660 (=> @t184 (=> @t353 @t1766))))) % 6.41/6.69 (assume @p1117 (forall @t1661 (=> @t1660 (=> @t184 (=> @t353 @t1767))))) % 6.41/6.69 (assume @p1118 (tptp.hBOOL (tptp.hAPP @t1493 @t1480))) % 6.41/6.69 (assume @p1119 (forall @t1768 (=> @t1655 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t1653)))) % 6.41/6.69 (assume @p1120 (forall @t1768 (=> (tptp.c_Hoare__Mirabelle_Ohoare__valids @t8 @t1654 @t1652) (tptp.c_Hoare__Mirabelle_Ohoare__valids @t8 @t12 @t1653)))) % 6.41/6.69 (assume @p1121 (forall @t1769 (=> @t1660 (=> @t184 (= @t1765 @t1658))))) % 6.41/6.69 (assume @p1122 (forall @t81 (=> @t78 @t1645))) % 6.41/6.69 (assume @p1123 (forall @t1775 (=> @t1686 (=> @t184 (=> @t299 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t1774) @t1772))))))) % 6.41/6.69 (assume @p1124 (forall @t1776 (=> @t1686 (=> @t184 (= (tptp.hAPP @t1771 @t54) (tptp.hAPP @t1773 @t1772)))))) % 6.41/6.69 (assume @p1125 (forall @t905 (=> @t1778 (=> (not @t99) @t1777)))) % 6.41/6.69 (assume @p1126 (forall (@list @t8 @t51 @t73 @t289) (=> (=> @t1779 @t99) @t1778))) % 6.41/6.69 (assume @p1127 (forall (@list @t116 @t117 @t196 @t1360 @t198 @t12 @t74 @t1780 @t8) (=> (tptp.hBOOL (tptp.hAPP @t182 @t1780)) (=> (forall (@list @t1788) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t74 @t12 (tptp.hAPP (tptp.hAPP @t1790 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t187 (tptp.hAPP @t198 @t1788)) @t1789) (tptp.hAPP @t196 @t1788))) @t1787)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t74 @t12 (tptp.hAPP (tptp.hAPP @t1790 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t187 (tptp.hAPP @t117 @t1788)) @t1789) (tptp.hAPP @t116 @t1788))) @t1787)))) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t74 @t12 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t1781 (tptp.hAPP (tptp.hAPP @t1786 (tptp.hAPP (tptp.hAPP @t1785 (tptp.hAPP @t1784 @t198)) @t1360)) @t196)) @t1780)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t74 @t12 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t1781 (tptp.hAPP (tptp.hAPP @t1786 (tptp.hAPP (tptp.hAPP @t1785 (tptp.hAPP @t1784 @t117)) @t1360)) @t116)) @t1780))))))) % 6.41/6.69 (assume @p1128 (forall @t1795 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1662 @t1794) @t1793) @t73)) (tptp.hBOOL (tptp.hAPP @t283 (tptp.hAPP (tptp.hAPP @t1662 @t201) @t1791)))))) % 6.41/6.69 (assume @p1129 (forall @t1796 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t1794) @t1793)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t201) @t1791))))) % 6.41/6.69 (assume @p1130 (forall @t485 (= (tptp.hBOOL (tptp.hAPP @t283 @t1797)) @t328))) % 6.41/6.69 (assume @p1131 (forall @t97 (=> @t1678 @t1696))) % 6.41/6.69 (assume @p1132 (forall (@list @t73 @t116 @t117 @t8) (=> @t1800 (=> @t133 @t1799)))) % 6.41/6.69 (assume @p1133 (forall (@list @t116 @t8 @t73 @t117) (=> @t133 (=> @t1800 @t1799)))) % 6.41/6.69 (assume @p1134 (forall (@list @t51 @t8 @t73 @t289) (=> @t1777 @t1778))) % 6.41/6.69 (assume @p1135 (forall (@list @t289 @t8 @t73 @t51) (=> @t99 @t1778))) % 6.41/6.69 (assume @p1136 (forall @t1796 (= (= @t1794 @t1793) @t1801))) % 6.41/6.69 (assume @p1137 (forall @t89 (= (tptp.hBOOL (tptp.hAPP @t56 @t73)) (tptp.hBOOL (tptp.hAPP @t283 @t56))))) % 6.41/6.69 (assume @p1138 (forall @t397 (=> (tptp.c_Big__Operators_Osemilattice__big @t8 @t2 @t244) @t1259))) % 6.41/6.69 (assume @p1139 (forall (@list @t13 @t100 @t51 @t261 @t2 @t74 @t8) (=> @t1660 (=> @t443 (=> @t299 (exists (@list @t1802) (and (= @t100 (tptp.hAPP @t530 @t1802)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t74 @t2 @t261 @t354) @t1802))))))))) % 6.41/6.69 (assume @p1140 (forall @t1808 (and (=> @t1806 (= @t1805 @t648)) (=> @t1807 (= @t1805 (tptp.hAPP (tptp.hAPP @t553 @t1803) @t336)))))) % 6.41/6.69 (assume @p1141 (forall @t1815 (and @t1814 (=> (not @t1811) (= @t1809 @t1480))))) % 6.41/6.69 (assume @p1142 (forall @t406 (=> @t1678 (=> @t184 (=> @t323 (and (=> @t359 (= @t1817 @t73)) (=> @t360 (= @t1817 @t1816)))))))) % 6.41/6.69 (assume @p1143 (forall @t485 (= (tptp.c_Smallcheck_Oorelse @t8 @t73 @t100) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t407 @t8 @t100 @t87) @t73)))) % 6.41/6.69 (assume @p1144 (forall @t1357 (and (=> @t1819 (= @t1356 @t1074)) (=> (not @t1819) (= @t1356 @t1818))))) % 6.41/6.69 (assume @p1145 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1820)))) % 6.41/6.69 (assume @p1146 (= tptp.c_Int_OPls @t1480)) % 6.41/6.69 (assume @p1147 (tptp.hBOOL (tptp.hAPP @t1821 tptp.c_Int_OPls))) % 6.41/6.69 (assume @p1148 (not (tptp.hBOOL (tptp.hAPP @t1822 tptp.c_Int_OPls)))) % 6.41/6.69 (assume @p1149 (forall @t1512 (= (tptp.hAPP @t1525 tptp.c_Int_OPls) @t561))) % 6.41/6.69 (assume @p1150 (forall @t1512 (= (tptp.hAPP @t1823 @t561) @t561))) % 6.41/6.69 (assume @p1151 (forall @t1467 (= (tptp.hAPP (tptp.hAPP @t1402 tptp.c_Int_OPls) @t1389) tptp.c_Int_OPls))) % 6.41/6.69 (assume @p1152 (forall @t1512 (= (tptp.hAPP @t1510 tptp.c_Int_OPls) @t561))) % 6.41/6.69 (assume @p1153 (= @t1824 tptp.c_Int_OPls)) % 6.41/6.69 (assume @p1154 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1480)))) % 6.41/6.69 (assume @p1155 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1477)))) % 6.41/6.69 (assume @p1156 (forall @t150 (=> @t1378 (= @t1825 @t1082)))) % 6.41/6.69 (assume @p1157 (forall @t150 (=> @t1378 (= @t1082 @t1825)))) % 6.41/6.69 (assume @p1158 (forall @t680 (=> @t1378 (= (tptp.hAPP (tptp.hAPP @t676 @t1825) @t348) @t348)))) % 6.41/6.69 (assume @p1159 (forall @t680 (=> @t1378 (= (tptp.hAPP @t677 @t1825) @t348)))) % 6.41/6.69 (assume @p1160 (not (tptp.hBOOL (tptp.hAPP @t1822 @t1480)))) % 6.41/6.69 (assume @p1161 (= @t1074 @t1826)) % 6.41/6.69 (assume @p1162 (= @t1826 @t1074)) % 6.41/6.69 (assume @p1163 (= @t1480 @t1820)) % 6.41/6.69 (assume @p1164 (forall @t89 (=> @t1678 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t86) @t73)))) % 6.41/6.69 (assume @p1165 (forall @t1828 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t73))) @t1827))) % 6.41/6.69 (assume @p1166 (forall (@list @t1829) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1829)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1829) @t1480))))) % 6.41/6.69 (assume @p1167 (forall @t1833 (= (= @t1074 @t1832) @t1831))) % 6.41/6.69 (assume @p1168 (forall @t1833 (= @t1834 @t1831))) % 6.41/6.69 (assume @p1169 (forall @t1839 (= (tptp.hBOOL (tptp.hAPP @t1838 @t1837)) (and (=> @t1836 (tptp.hBOOL (tptp.hAPP @t1822 @t1835))) @t1836)))) % 6.41/6.69 (assume @p1170 (forall @t1839 (= (tptp.hBOOL (tptp.hAPP @t1840 @t1837)) (=> (not (tptp.hBOOL (tptp.hAPP @t1830 @t1835))) @t1831)))) % 6.41/6.69 (assume @p1171 (forall @t406 (=> @t1678 (=> @t184 (=> @t323 (= @t1841 @t1817)))))) % 6.41/6.69 (assume @p1172 (forall @t1357 (=> @t1806 @t1842))) % 6.41/6.69 (assume @p1173 (forall @t243 (=> @t1678 (=> @t184 (= @t1817 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t1677) @t51)))))) % 6.41/6.69 (assume @p1174 (forall @t1843 (=> @t1384 (= (tptp.hBOOL (tptp.hAPP @t1083 @t1375)) (tptp.hBOOL (tptp.hAPP @t1821 @t100)))))) % 6.41/6.69 (assume @p1175 (forall @t89 (=> @t1384 (= (tptp.hBOOL (tptp.hAPP @t1383 @t1082)) (tptp.hBOOL (tptp.hAPP @t1381 tptp.c_Int_OPls)))))) % 6.41/6.69 (assume @p1176 (forall @t1843 (=> @t1384 (= (tptp.hBOOL (tptp.hAPP @t1204 @t1375)) (tptp.hBOOL (tptp.hAPP @t1822 @t100)))))) % 6.41/6.69 (assume @p1177 (forall @t89 (=> @t1384 (= (tptp.hBOOL (tptp.hAPP @t1388 @t1082)) (tptp.hBOOL (tptp.hAPP @t1386 tptp.c_Int_OPls)))))) % 6.41/6.69 (assume @p1178 (forall @t1833 (= (tptp.hBOOL (tptp.hAPP @t1100 @t1832)) (tptp.hBOOL (tptp.hAPP @t1822 @t240))))) % 6.41/6.69 (assume @p1179 (forall @t1851 (and (=> @t1849 (= @t1847 @t1846)) (=> @t1850 (and (=> @t1848 (= @t1847 @t1355)) (=> (not @t1848) (= @t1847 @t1845))))))) % 6.41/6.69 (assume @p1180 (forall @t406 (=> @t1678 (=> @t184 @t1853)))) % 6.41/6.69 (assume @p1181 (forall @t316 (=> @t1678 (=> @t184 (=> @t1006 (=> @t780 (= (tptp.hAPP (tptp.hAPP @t1677 @t1854) @t1817) @t1817))))))) % 6.41/6.69 (assume @p1182 (forall @t316 (=> @t1678 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 @t1857))))))) % 6.41/6.69 (assume @p1183 (forall @t1839 (= (= @t1832 @t1837) (and (=> @t1861 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t1858) @t1480))) (=> (not @t1861) (and (=> @t1859 (= @t1860 @t1480)) (=> (not @t1859) (= @t240 @t1835)))))))) % 6.41/6.69 (assume @p1184 (forall @t185 (=> @t1678 (=> @t184 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t54) (tptp.hAPP (tptp.hAPP @t1770 @t13) @t51)))))) % 6.41/6.69 (assume @p1185 (forall @t1867 (and (=> @t1806 (= @t1863 @t1862)) (=> @t1807 (and (=> @t1865 (= @t1863 (tptp.hAPP @t1804 @t561))) (=> @t1866 (= @t1863 (tptp.hAPP (tptp.hAPP @t553 @t1845) @t561)))))))) % 6.41/6.69 (assume @p1186 (forall @t654 (=> @t1630 (=> @t1629 (tptp.hBOOL (tptp.hAPP @t1493 @t1809)))))) % 6.41/6.69 (assume @p1187 (forall @t1833 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1868)) @t1834))) % 6.41/6.69 (assume @p1188 (forall @t1815 @t1814)) % 6.41/6.69 (assume @p1189 (forall @t1851 (and (=> @t1849 (= @t1871 @t1074)) (=> @t1850 (= @t1871 @t1869))))) % 6.41/6.69 (assume @p1190 (forall @t1867 (and (=> @t1849 (= @t1872 @t1074)) (=> @t1850 (= @t1872 (tptp.hAPP (tptp.hAPP @t855 @t1869) @t561)))))) % 6.41/6.69 (assume @p1191 (forall (@list @t521 @t1079) (=> (tptp.hBOOL (tptp.hAPP @t1822 @t1079)) (= (tptp.hAPP @t566 @t1355) (tptp.hAPP @t522 @t1818))))) % 6.41/6.69 (assume @p1192 (forall @t1357 (and (=> @t1849 (= @t1873 @t467)) (=> @t1850 (= @t1873 @t1803))))) % 6.41/6.69 (assume @p1193 (forall @t1357 (and (=> @t1849 (= @t1874 @t467)) (=> @t1850 (= @t1874 @t1803))))) % 6.41/6.69 (assume @p1194 (forall @t406 (=> @t1678 (=> @t184 (=> @t353 @t1853))))) % 6.41/6.69 (assume @p1195 (forall @t406 (=> @t1678 (=> @t184 (and (=> @t359 (= @t1852 @t73)) (=> @t360 (= @t1852 @t1816))))))) % 6.41/6.69 (assume @p1196 (forall @t406 (=> @t1678 (=> @t184 (=> @t353 (= @t1852 (tptp.hAPP (tptp.hAPP @t1770 @t73) @t51))))))) % 6.41/6.69 (assume @p1197 (forall @t1357 (and (=> @t1806 (= @t1875 @t467)) (=> @t1807 (= @t1875 @t1803))))) % 6.41/6.69 (assume @p1198 (tptp.hBOOL (tptp.hAPP @t1493 @t1820))) % 6.41/6.69 (assume @p1199 (forall (@list @t240 @t1835) (and (=> @t1883 (= @t1882 @t1832)) (=> (not @t1883) (= @t1882 (tptp.hAPP (tptp.hAPP @t1881 (tptp.hAPP @t1462 (tptp.hAPP (tptp.hAPP @t1394 @t240) (tptp.hAPP @t1409 @t1835)))) @t1880)))))) % 6.41/6.69 (assume @p1200 (forall @t1843 (=> @t1378 (= (= @t1082 @t1375) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1372 (tptp.hAPP @t1823 @t1884))))))) % 6.41/6.69 (assume @p1201 (forall @t89 (=> @t1378 (= (= @t1376 @t1082) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1372 (tptp.hAPP @t1885 @t1824))))))) % 6.41/6.69 (assume @p1202 (forall @t243 (=> @t1678 (=> @t184 (=> @t249 (=> (forall @t396 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t1886) @t394))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t1817) @t51)))))))) % 6.41/6.69 (assume @p1203 (forall (@list @t2 @t638 @t60) @t1895)) % 6.41/6.69 (assume @p1204 (forall @t1446 (=> @t1378 (=> (tptp.hBOOL (tptp.hAPP @t1821 @t1054)) (tptp.hBOOL (tptp.hAPP @t1445 @t1896)))))) % 6.41/6.69 (assume @p1205 (= @t1901 (tptp.hAPP @t1899 @t1898))) % 6.41/6.69 (assume @p1206 (forall @t1904 (=> @t1903 (= (tptp.c_Int_Oiszero @t8 @t261) @t1902)))) % 6.41/6.69 (assume @p1207 (forall @t150 (=> @t1903 (tptp.c_Int_Oiszero @t8 @t1082)))) % 6.41/6.69 (assume @p1208 (= @t1905 @t1074)) % 6.41/6.69 (assume @p1209 (= @t1074 @t1905)) % 6.41/6.69 (assume @p1210 (forall @t150 (=> @t1903 (not (tptp.c_Int_Oiszero @t8 @t675))))) % 6.41/6.69 (assume @p1211 (forall (@list @t1906 @t261) (=> @t1909 (=> (tptp.hBOOL (tptp.hAPP @t1493 @t1906)) (= (= @t1908 @t1907) (= @t261 @t1906)))))) % 6.41/6.69 (assume @p1212 (forall @t1913 (=> @t1827 (=> @t1912 (= (= @t1911 @t1910) @t328))))) % 6.41/6.69 (assume @p1213 (forall @t1920 (= @t1919 (forall @t7 (=> @t1915 @t1914))))) % 6.41/6.69 (assume @p1214 (forall @t1920 (= @t1921 (exists @t7 (and @t1915 @t1914))))) % 6.41/6.69 (assume @p1215 (forall @t1467 (= (tptp.hAPP tptp.c_Int_Onat @t1463) @t1922))) % 6.41/6.69 (assume @p1216 (forall @t1357 (= @t1355 (tptp.hAPP tptp.c_Int_Onat @t1464)))) % 6.41/6.69 (assume @p1217 (= @t467 @t1923)) % 6.41/6.69 (assume @p1218 (forall @t1495 (=> @t1926 @t1925))) % 6.41/6.69 (assume @p1219 (forall @t1930 (= (= @t1929 @t1074) @t1928))) % 6.41/6.69 (assume @p1220 (forall @t1495 (=> @t1931 @t1925))) % 6.41/6.69 (assume @p1221 (forall @t1531 (= @t1934 (and @t1496 @t1529)))) % 6.41/6.69 (assume @p1222 (forall @t1554 (=> @t1496 @t1935))) % 6.41/6.69 (assume @p1223 (forall @t1913 (=> @t1827 (=> @t1912 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t1911) @t1910)) @t1382))))) % 6.41/6.69 (assume @p1224 (= @t1923 @t1239)) % 6.41/6.69 (assume @p1225 (forall @t150 (=> @t1378 (tptp.c_Int_Oiszero @t8 @t1825)))) % 6.41/6.69 (assume @p1226 (forall @t150 (=> @t1903 (tptp.hBOOL (tptp.hAPP @t1338 @t1896))))) % 6.41/6.69 (assume @p1227 (forall @t71 (=> @t1903 (=> @t1937 (=> @t1936 (tptp.hBOOL (tptp.hAPP @t1340 @t1896))))))) % 6.41/6.69 (assume @p1228 (forall @t71 (=> @t1903 (=> @t1937 (=> @t1936 (tptp.hBOOL (tptp.hAPP @t1342 @t1896))))))) % 6.41/6.69 (assume @p1229 (forall @t150 (=> @t1903 (tptp.hBOOL (tptp.hAPP @t1343 @t1896))))) % 6.41/6.69 (assume @p1230 (forall @t1498 (= (tptp.hBOOL (tptp.hAPP @t1100 @t1908)) @t1496))) % 6.41/6.69 (assume @p1231 (forall @t1531 (=> @t1938 @t1935))) % 6.41/6.69 (assume @p1232 (forall @t1913 (=> @t1827 (=> @t1912 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t1911) @t1910)) @t1387))))) % 6.41/6.69 (assume @p1233 (forall @t1531 (=> (or (tptp.hBOOL (tptp.hAPP @t1481 @t1054)) @t1909) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t1932) @t1908)) @t1556)))) % 6.41/6.69 (assume @p1234 (forall @t1941 (=> @t1494 (=> @t1940 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1504 @t1559)) (tptp.hAPP (tptp.hAPP @t553 @t1924) @t1939)))))) % 6.41/6.69 (assume @p1235 (forall @t654 (=> @t1630 (=> @t1629 (= (tptp.hAPP (tptp.hAPP @t553 @t1943) @t1942) (tptp.hAPP tptp.c_Int_Onat @t1631)))))) % 6.41/6.69 (assume @p1236 (forall @t1941 (=> @t1494 (= @t1944 (tptp.hAPP (tptp.hAPP @t855 @t1924) @t1939))))) % 6.41/6.69 (assume @p1237 (forall @t654 (=> @t1630 (=> @t1629 (= (tptp.hAPP (tptp.hAPP @t855 @t1943) @t1942) (tptp.hAPP tptp.c_Int_Onat @t1628)))))) % 6.41/6.69 (assume @p1238 (forall (@list @t513 @t1559) (=> @t1940 (=> @t1561 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1563 @t1559)) (tptp.hAPP (tptp.hAPP @t468 @t1924) @t1939)))))) % 6.41/6.69 (assume @p1239 (forall @t654 (=> @t1630 (=> @t1629 (= (tptp.hAPP (tptp.hAPP @t468 @t1943) @t1942) (tptp.hAPP tptp.c_Int_Onat @t1809)))))) % 6.41/6.69 (assume @p1240 (forall (@list @t261 @t1906) (and (=> @t1946 (= @t1945 @t1908)) (=> (not @t1946) (= @t1945 (tptp.hAPP (tptp.hAPP @t1881 (tptp.hAPP @t1565 @t1906)) @t1880)))))) % 6.41/6.69 (assume @p1241 (forall @t1498 (= (tptp.hBOOL (tptp.hAPP @t1280 @t1908)) (tptp.hBOOL (tptp.hAPP @t1947 @t261))))) % 6.41/6.69 (assume @p1242 (forall @t1495 (=> @t1494 (= (tptp.hAPP tptp.c_Nat_OSuc @t1924) (tptp.hAPP tptp.c_Int_Onat @t1492))))) % 6.41/6.69 (assume @p1243 (forall @t1941 (=> @t1931 (= @t1944 (tptp.hAPP (tptp.hAPP @t855 (tptp.hAPP tptp.c_Int_Onat @t1499)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1409 @t1559))))))) % 6.41/6.69 (assume @p1244 (forall @t485 (=> @t1378 (= @t1377 (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1372 (tptp.hAPP @t1885 @t1884))))))) % 6.41/6.69 (assume @p1245 (forall @t1959 (= (= @t282 @t1832) @t1958))) % 6.41/6.69 (assume @p1246 (forall @t1960 (= (= @t1832 @t282) @t1958))) % 6.41/6.69 (assume @p1247 (forall @t1959 (= (tptp.hBOOL (tptp.hAPP @t1962 @t1832)) (tptp.hBOOL (tptp.hAPP @t1957 (tptp.hAPP @t1956 (tptp.hAPP @t1954 (tptp.hAPP (tptp.hAPP @t1961 @t655) tptp.c_Int_Onat)))))))) % 6.41/6.69 (assume @p1248 (forall @t1960 (= (tptp.hBOOL (tptp.hAPP @t1838 @t282)) (tptp.hBOOL (tptp.hAPP @t1957 (tptp.hAPP @t1954 (tptp.hAPP (tptp.hAPP @t1949 (tptp.hAPP (tptp.hAPP @t1948 @t472) tptp.c_Int_Onat)) @t281))))))) % 6.41/6.69 (assume @p1249 (forall @t1959 (= (tptp.hBOOL (tptp.hAPP @t922 @t1832)) (tptp.hBOOL (tptp.hAPP @t1957 (tptp.hAPP @t1956 (tptp.hAPP @t1954 (tptp.hAPP (tptp.hAPP @t1961 @t926) tptp.c_Int_Onat)))))))) % 6.41/6.69 (assume @p1250 (forall @t1960 (= (tptp.hBOOL (tptp.hAPP @t1840 @t282)) (tptp.hBOOL (tptp.hAPP @t1957 (tptp.hAPP @t1954 (tptp.hAPP (tptp.hAPP @t1949 (tptp.hAPP (tptp.hAPP @t1948 @t753) tptp.c_Int_Onat)) @t281))))))) % 6.41/6.69 (assume @p1251 (forall @t1977 (= (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t1976) (tptp.hAPP @t1975 (tptp.hAPP (tptp.hAPP @t1973 (tptp.hAPP @t1972 (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t281))) (tptp.hAPP @t1967 @t1965)))))) % 6.41/6.69 (assume @p1252 (forall @t941 (= (tptp.c_Int_Onat__aux @t592 @t336) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP tptp.c_Int_Onat @t592)) @t336)))) % 6.41/6.69 (assume @p1253 (forall @t1980 (= (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t1832) (tptp.hAPP @t1975 (tptp.hAPP @t1979 @t1978))))) % 6.41/6.69 (assume @p1254 (forall @t1977 (= (tptp.hAPP @t1981 @t1976) (tptp.hAPP @t1975 (tptp.hAPP (tptp.hAPP @t1973 (tptp.hAPP @t1972 (tptp.hAPP @t1981 @t281))) (tptp.hAPP (tptp.hAPP @t1973 (tptp.hAPP @t1983 @t1965)) (tptp.hAPP @t1982 @t1965))))))) % 6.41/6.69 (assume @p1255 (forall @t1980 (= (tptp.hAPP @t1981 @t1832) (tptp.hAPP @t1975 (tptp.hAPP @t1979 (tptp.hAPP (tptp.hAPP @t1973 (tptp.hAPP @t1983 tptp.c_Int_Onat)) (tptp.hAPP @t1982 tptp.c_Int_Onat))))))) % 6.41/6.69 (assume @p1256 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t1493)) % 6.41/6.69 (assume @p1257 (forall @t1960 (= (tptp.hAPP (tptp.hAPP @t1984 @t1832) @t282) (tptp.hAPP @t1987 (tptp.hAPP @t1879 (tptp.hAPP @t1986 (tptp.hAPP (tptp.hAPP @t1964 (tptp.hAPP (tptp.hAPP @t1963 @t1984) tptp.c_Int_Onat)) @t281))))))) % 6.41/6.69 (assume @p1258 (forall @t97 (=> @t484 (= (tptp.hAPP @t1989 @t95) @t95)))) % 6.41/6.69 (assume @p1259 (forall @t516 (=> @t484 (= (tptp.hAPP (tptp.hAPP @t1988 @t1993) @t513) @t1992)))) % 6.41/6.69 (assume @p1260 (forall @t508 (=> @t484 (= (tptp.hAPP (tptp.hAPP @t1988 @t1997) @t333) @t1996)))) % 6.41/6.69 (assume @p1261 (forall @t516 (=> @t484 (= @t1992 (tptp.hAPP @t1990 @t1998))))) % 6.41/6.69 (assume @p1262 (forall @t512 (=> @t484 (= (tptp.hAPP @t1994 (tptp.hAPP @t1995 @t333)) @t1996)))) % 6.41/6.69 (assume @p1263 (forall @t491 (=> @t484 (= (tptp.hAPP @t1989 @t1993) @t1993)))) % 6.41/6.69 (assume @p1264 (forall @t502 (=> @t484 (= (tptp.hAPP @t1995 @t1997) @t1997)))) % 6.41/6.69 (assume @p1265 (forall @t491 (=> @t484 (= @t1993 @t1999)))) % 6.41/6.69 (assume @p1266 (forall @t502 (=> @t484 (= @t1997 (tptp.hAPP @t1994 @t348))))) % 6.41/6.69 (assume @p1267 (forall @t680 (=> @t484 (= (tptp.hAPP @t1995 @t348) @t348)))) % 6.41/6.69 (assume @p1268 (forall @t1718 (=> @t484 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2001) @t261)) (or @t1714 @t1713))))) % 6.41/6.69 (assume @p1269 (forall @t1712 (=> @t484 (=> @t2003 @t2002)))) % 6.41/6.69 (assume @p1270 (forall @t1707 (=> @t484 (=> @t834 (=> @t1706 (tptp.hBOOL (tptp.hAPP @t2004 (tptp.hAPP (tptp.hAPP @t1988 @t333) @t715)))))))) % 6.41/6.69 (assume @p1271 (forall @t516 (=> @t484 (=> @t817 (=> @t828 (tptp.hBOOL (tptp.hAPP @t778 @t1991))))))) % 6.41/6.69 (assume @p1272 (forall @t1712 (=> @t484 (=> @t1296 (=> @t1710 @t2003))))) % 6.41/6.69 (assume @p1273 (forall @t827 (=> @t484 (=> @t816 (= @t1993 @t284))))) % 6.41/6.69 (assume @p1274 (forall @t491 (=> @t484 (=> @t817 (= @t1993 @t95))))) % 6.41/6.69 (assume @p1275 (forall @t2006 (=> @t484 (=> @t1700 @t2005)))) % 6.41/6.69 (assume @p1276 (forall @t1708 (=> @t484 (=> @t1701 @t2005)))) % 6.41/6.69 (assume @p1277 (forall @t1718 (=> @t484 (= (tptp.hBOOL (tptp.hAPP @t838 (tptp.hAPP (tptp.hAPP @t1988 @t100) @t261))) @t2007)))) % 6.41/6.69 (assume @p1278 (forall @t485 (=> @t484 (= @t839 (= @t2001 @t73))))) % 6.41/6.69 (assume @p1279 (forall @t491 (=> @t484 (tptp.hBOOL (tptp.hAPP @t2008 @t284))))) % 6.41/6.69 (assume @p1280 (forall @t491 (=> @t484 (tptp.hBOOL (tptp.hAPP @t2008 @t95))))) % 6.41/6.69 (assume @p1281 (forall @t1718 (=> @t484 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2001) @t261)) (or @t2010 @t2009))))) % 6.41/6.69 (assume @p1282 (forall @t2014 (=> @t484 (= (tptp.hBOOL (tptp.hAPP @t2011 @t2001)) (and @t2013 @t2012))))) % 6.41/6.69 (assume @p1283 (forall @t2006 (=> @t484 (=> @t2016 @t2015)))) % 6.41/6.69 (assume @p1284 (forall @t1708 (=> @t484 (=> @t2017 @t2015)))) % 6.41/6.69 (assume @p1285 (forall @t516 (=> @t699 (= (tptp.hAPP (tptp.hAPP @t676 @t1993) @t513) (tptp.hAPP (tptp.hAPP @t1988 @t2018) @t1065))))) % 6.41/6.69 (assume @p1286 (forall @t516 (=> @t694 (= (tptp.hAPP (tptp.hAPP @t392 @t1993) @t513) (tptp.hAPP (tptp.hAPP @t1988 @t2020) @t2019))))) % 6.41/6.69 (assume @p1287 (forall @t550 (= (tptp.hAPP @t2021 @t1074) @t1074))) % 6.41/6.69 (assume @p1288 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t1984 @t1074) @t336) @t1074))) % 6.41/6.69 (assume @p1289 (forall @t524 (= (tptp.hAPP (tptp.hAPP @t1984 @t544) @t337) (tptp.hAPP tptp.c_Nat_OSuc @t2022)))) % 6.41/6.69 (assume @p1290 (forall (@list @t336 @t592 @t521) (= (tptp.hAPP (tptp.hAPP @t1984 (tptp.hAPP @t522 @t592)) @t940) (tptp.hAPP (tptp.hAPP @t468 @t2022) @t592)))) % 6.41/6.69 (assume @p1291 (forall @t672 (= (tptp.hAPP @t2026 @t378) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1074 (tptp.hAPP @t2025 @t2023) @t378)))) % 6.41/6.69 (assume @p1292 (forall @t634 (= (tptp.hAPP (tptp.hAPP @t1984 @t378) @t282) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1074 (tptp.hAPP @t2025 (tptp.hAPP (tptp.hAPP @t2027 @t1984) @t281)) @t378)))) % 6.41/6.69 (assume @p1293 (forall @t2033 (=> @t2032 (and (=> @t2030 (= @t2029 @t2028)) (=> @t2031 (= @t2029 @t1429)))))) % 6.41/6.69 (assume @p1294 (forall @t2035 (= (tptp.hAPP @t2034 @t1074) @t129))) % 6.41/6.69 (assume @p1295 (forall @t2037 (= (tptp.hAPP @t2034 @t653) (tptp.hAPP @t2036 (tptp.hAPP @t2034 @t652))))) % 6.41/6.69 (assume @p1296 (forall @t2035 (= (tptp.c_Nat_Onat_Onat__case @t8 @t129 @t125 @t1074) @t129))) % 6.41/6.69 (assume @p1297 (forall @t2037 (= (tptp.c_Nat_Onat_Onat__case @t8 @t129 @t125 @t653) @t2036))) % 6.41/6.69 (assume @p1298 (forall @t1776 (=> @t484 (=> @t184 (= (tptp.hAPP @t2039 @t54) (tptp.hAPP @t2041 @t2040)))))) % 6.41/6.69 (assume @p1299 (forall @t1775 (=> @t484 (=> @t184 (=> @t299 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2040) (tptp.hAPP @t2041 @t58)))))))) % 6.41/6.69 (assume @p1300 (forall @t185 (=> @t484 (=> @t184 (=> @t299 (tptp.hBOOL (tptp.hAPP @t2044 @t13))))))) % 6.41/6.69 (assume @p1301 (forall @t406 (=> @t484 (=> @t184 (=> @t249 (= (tptp.hBOOL (tptp.hAPP @t838 @t2043)) @t2046)))))) % 6.41/6.69 (assume @p1302 (forall @t406 (=> @t484 (=> @t184 (=> @t249 (= (tptp.hBOOL (tptp.hAPP @t2044 @t73)) (exists @t7 (and @t363 (tptp.hBOOL (tptp.hAPP @t2047 @t73)))))))))) % 6.41/6.69 (assume @p1303 (forall @t406 (=> @t484 (=> @t184 (=> @t249 (= (tptp.hBOOL (tptp.hAPP @t481 @t2043)) (forall @t7 (=> @t363 (tptp.hBOOL (tptp.hAPP @t481 @t3)))))))))) % 6.41/6.69 (assume @p1304 (forall @t406 (=> @t484 (=> @t184 (=> @t249 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2043) @t73)) (exists @t7 (and @t363 (tptp.hBOOL (tptp.hAPP @t2048 @t73)))))))))) % 6.41/6.69 (assume @p1305 (forall @t316 (=> @t484 (=> @t249 (=> @t746 (=> @t361 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP @t2042 @t289)) @t2043)))))))) % 6.41/6.69 (assume @p1306 (forall @t634 (= @t972 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t876 @t281))))) % 6.41/6.69 (assume @p1307 (forall @t634 (= (tptp.hAPP @t944 @t282) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1074 @t2049 @t1257)))) % 6.41/6.69 (assume @p1308 (forall @t1959 (= (tptp.hAPP @t2026 @t1832) (tptp.hAPP @t1987 (tptp.hAPP @t1879 (tptp.hAPP @t1986 (tptp.hAPP (tptp.hAPP @t1985 @t2023) tptp.c_Int_Onat))))))) % 6.41/6.69 (assume @p1309 (forall @t150 (=> @t484 (= (tptp.c_Orderings_Oord_Omax @t8 @t2051) @t1988)))) % 6.41/6.69 (assume @p1310 (forall @t150 (=> @t507 (= @t1988 (tptp.c_Orderings_Oord_Omin @t8 @t777))))) % 6.41/6.69 (assume @p1311 (forall @t406 (=> @t484 (=> @t184 (=> @t323 (and (=> @t359 @t2054) (=> @t360 (= @t2053 @t2052)))))))) % 6.41/6.69 (assume @p1312 (forall @t406 (=> @t484 (=> @t184 (=> @t323 (and (=> @t359 (= @t2056 @t73)) (=> @t360 (= @t2056 @t2055)))))))) % 6.41/6.69 (assume @p1313 (forall @t1960 (= (tptp.hAPP (tptp.hAPP @t2057 @t1832) @t282) (tptp.hAPP @t1987 (tptp.hAPP @t2058 (tptp.hAPP @t1986 (tptp.hAPP (tptp.hAPP @t1964 (tptp.hAPP (tptp.hAPP @t1963 @t2057) tptp.c_Int_Onat)) @t281))))))) % 6.41/6.69 (assume @p1314 (forall @t1959 (= (tptp.hAPP @t2060 @t1832) (tptp.hAPP @t1987 (tptp.hAPP @t2058 (tptp.hAPP @t1986 (tptp.hAPP (tptp.hAPP @t1985 @t2059) tptp.c_Int_Onat))))))) % 6.41/6.69 (assume @p1315 (forall @t2068 (=> @t2067 (=> (forall @t7 (=> @t135 (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t2063 @t60))))) (=> @t2065 (forall @t7 (=> @t135 (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t2063 @t2062)))))))))) % 6.41/6.69 (assume @p1316 (forall @t680 (=> @t484 (= (tptp.hAPP @t2070 @t348) @t348)))) % 6.41/6.69 (assume @p1317 (forall @t502 (=> @t484 (= @t2072 (tptp.hAPP @t2071 @t348))))) % 6.41/6.69 (assume @p1318 (forall @t491 (=> @t484 (= @t2076 @t2074)))) % 6.41/6.69 (assume @p1319 (forall @t502 (=> @t484 (= (tptp.hAPP @t2070 @t2072) @t2072)))) % 6.41/6.69 (assume @p1320 (forall @t491 (=> @t484 (= (tptp.hAPP @t2075 @t2076) @t2076)))) % 6.41/6.69 (assume @p1321 (forall @t512 (=> @t484 (= (tptp.hAPP @t2071 (tptp.hAPP @t2070 @t333)) @t2077)))) % 6.41/6.69 (assume @p1322 (forall @t516 (=> @t484 (= @t2080 (tptp.hAPP @t2073 @t2078))))) % 6.41/6.69 (assume @p1323 (forall @t508 (=> @t484 (= (tptp.hAPP (tptp.hAPP @t2069 @t2072) @t333) @t2077)))) % 6.41/6.69 (assume @p1324 (forall @t516 (=> @t484 (= (tptp.hAPP (tptp.hAPP @t2069 @t2076) @t513) @t2080)))) % 6.41/6.69 (assume @p1325 (forall @t150 (=> @t507 (= @t2069 (tptp.c_Orderings_Oord_Omax @t8 @t777))))) % 6.41/6.69 (assume @p1326 (forall @t97 (=> @t484 (= (tptp.hAPP @t2075 @t95) @t95)))) % 6.41/6.69 (assume @p1327 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t2057)) % 6.41/6.69 (assume @p1328 (forall @t491 (=> @t484 (tptp.hBOOL (tptp.hAPP @t778 @t2076))))) % 6.41/6.69 (assume @p1329 (forall @t827 (=> @t484 (tptp.hBOOL (tptp.hAPP @t815 @t2076))))) % 6.41/6.69 (assume @p1330 (forall @t485 (=> @t484 (= @t839 (= @t2082 @t100))))) % 6.41/6.69 (assume @p1331 (forall @t1718 (=> @t484 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2082) @t261)) @t1715)))) % 6.41/6.69 (assume @p1332 (forall @t1712 (=> @t484 (=> @t1296 @t2083)))) % 6.41/6.69 (assume @p1333 (forall @t1711 (=> @t484 (=> @t1710 @t2083)))) % 6.41/6.69 (assume @p1334 (forall @t491 (=> @t484 (=> @t817 (= @t2076 @t284))))) % 6.41/6.69 (assume @p1335 (forall @t827 (=> @t484 (=> @t816 (= @t2076 @t95))))) % 6.41/6.69 (assume @p1336 (forall @t1708 (=> @t484 (=> @t1701 (=> @t1700 @t2085))))) % 6.41/6.69 (assume @p1337 (forall @t520 (=> @t484 (=> @t816 (=> @t825 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2079) @t95))))))) % 6.41/6.69 (assume @p1338 (forall @t1707 (=> @t484 (=> @t834 (=> @t1706 (tptp.hBOOL (tptp.hAPP @t2084 (tptp.hAPP (tptp.hAPP @t2069 @t333) @t715)))))))) % 6.41/6.69 (assume @p1339 (forall @t1705 (=> @t484 (=> @t2085 @t1702)))) % 6.41/6.69 (assume @p1340 (forall @t2014 (=> @t484 (= (tptp.hBOOL (tptp.hAPP @t2086 @t2082)) (or (tptp.hBOOL (tptp.hAPP @t2086 @t73)) (tptp.hBOOL (tptp.hAPP @t2086 @t100))))))) % 6.41/6.69 (assume @p1341 (forall @t1712 (=> @t484 (=> @t1086 @t2087)))) % 6.41/6.69 (assume @p1342 (forall @t1711 (=> @t484 (=> @t1722 @t2087)))) % 6.41/6.69 (assume @p1343 (forall @t2014 (=> @t484 (= (tptp.hBOOL (tptp.hAPP @t2011 @t2082)) (or @t2013 @t2012))))) % 6.41/6.69 (assume @p1344 (forall @t1718 (=> @t484 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2082) @t261)) (and @t2010 @t2009))))) % 6.41/6.69 (assume @p1345 (forall @t516 (=> @t699 (= (tptp.hAPP (tptp.hAPP @t676 @t2076) @t513) (tptp.hAPP (tptp.hAPP @t2069 @t2018) @t1065))))) % 6.41/6.69 (assume @p1346 (forall @t150 (=> @t484 (= (tptp.c_Orderings_Oord_Omin @t8 @t2051) @t2069)))) % 6.41/6.69 (assume @p1347 (forall @t516 (=> @t694 (= (tptp.hAPP (tptp.hAPP @t392 @t2076) @t513) (tptp.hAPP (tptp.hAPP @t2069 @t2020) @t2019))))) % 6.41/6.69 (assume @p1348 (forall @t150 (=> (and @t1686 @t484) (= @t1677 @t2069)))) % 6.41/6.69 (assume @p1349 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t2057 @t1074) @t336) @t336))) % 6.41/6.69 (assume @p1350 (forall @t550 (= (tptp.hAPP @t2088 @t1074) @t336))) % 6.41/6.69 (assume @p1351 (forall @t524 (= (tptp.hAPP (tptp.hAPP @t2057 @t544) @t337) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2057 @t521) @t336))))) % 6.41/6.69 (assume @p1352 (forall @t491 (=> @t484 (= (tptp.hAPP @t2075 @t1993) @t95)))) % 6.41/6.69 (assume @p1353 (forall @t491 (=> @t484 (= (tptp.hAPP @t1989 @t2076) @t95)))) % 6.41/6.69 (assume @p1354 (forall @t516 (=> @t484 (= @t2090 @t2089)))) % 6.41/6.69 (assume @p1355 (forall @t516 (=> @t484 (= @t2092 @t2091)))) % 6.41/6.69 (assume @p1356 (forall @t2093 (=> @t484 (= (tptp.hAPP (tptp.hAPP @t2069 @t1991) @t95) (tptp.hAPP (tptp.hAPP @t1988 @t2074) (tptp.hAPP (tptp.hAPP @t2069 @t513) @t95)))))) % 6.41/6.69 (assume @p1357 (forall @t2093 (=> @t484 (= (tptp.hAPP (tptp.hAPP @t1988 @t2079) @t95) (tptp.hAPP (tptp.hAPP @t2069 @t1999) (tptp.hAPP (tptp.hAPP @t1988 @t513) @t95)))))) % 6.41/6.69 (assume @p1358 (forall @t672 (= (tptp.hAPP @t2060 @t378) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t282 (tptp.hAPP @t2025 @t2059) @t378)))) % 6.41/6.69 (assume @p1359 (forall @t634 (= (tptp.hAPP (tptp.hAPP @t2057 @t378) @t282) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t282 (tptp.hAPP @t2025 (tptp.hAPP (tptp.hAPP @t2027 @t2057) @t281)) @t378)))) % 6.41/6.69 (assume @p1360 (forall @t185 (=> @t484 (=> @t184 (=> @t299 (= (tptp.hAPP @t2094 @t2056) @t13)))))) % 6.41/6.69 (assume @p1361 (forall @t2033 (=> @t2032 (and (=> @t2030 (= @t2095 @t1429)) (=> @t2031 (= @t2095 @t2028)))))) % 6.41/6.69 (assume @p1362 (forall @t516 (=> @t484 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2091) @t2092))))) % 6.41/6.69 (assume @p1363 (forall @t516 (=> @t484 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2090) @t2089))))) % 6.41/6.69 (assume @p1364 (forall @t491 (=> @t1124 (= (tptp.hAPP @t784 @t1993) (tptp.hAPP (tptp.hAPP @t2069 @t846) @t847))))) % 6.41/6.69 (assume @p1365 (forall @t491 (=> @t1124 (= (tptp.hAPP @t784 @t2076) (tptp.hAPP (tptp.hAPP @t1988 @t846) @t847))))) % 6.41/6.69 (assume @p1366 (forall @t618 (= (tptp.hAPP (tptp.hAPP @t553 @t1150) @t521) (tptp.hAPP @t2088 @t521)))) % 6.41/6.69 (assume @p1367 (forall @t89 (=> @t484 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t86) @t73)))) % 6.41/6.69 (assume @p1368 (forall @t1776 (=> @t484 (=> @t184 (= (tptp.hAPP @t2097 @t54) (tptp.hAPP @t2094 @t2098)))))) % 6.41/6.69 (assume @p1369 (forall @t406 (=> @t484 (=> @t184 (=> @t323 (= @t2099 @t2056)))))) % 6.41/6.69 (assume @p1370 (forall @t406 (=> @t484 (=> @t184 (=> @t323 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2053) @t73))))))) % 6.41/6.69 (assume @p1371 (forall @t89 (=> @t484 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 @t86) @t73)))) % 6.41/6.69 (assume @p1372 (forall @t243 (=> @t484 (=> @t184 (=> @t249 @t2100))))) % 6.41/6.69 (assume @p1373 (forall @t406 (=> @t484 (=> @t184 (=> @t323 (= @t2101 @t2053)))))) % 6.41/6.69 (assume @p1374 (forall @t243 (=> @t484 (=> @t184 (= @t2056 @t2043))))) % 6.41/6.69 (assume @p1375 (forall @t243 (=> @t484 (=> @t184 (= @t2053 @t2043))))) % 6.41/6.69 (assume @p1376 (forall @t1775 (=> @t484 (=> @t184 (=> @t299 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP @t2094 @t58)) @t2098))))))) % 6.41/6.69 (assume @p1377 (forall @t406 (=> @t484 (=> @t184 @t2103)))) % 6.41/6.69 (assume @p1378 (forall @t316 (=> @t484 (=> @t184 (=> @t1006 (=> @t780 (= (tptp.hAPP (tptp.hAPP @t1988 @t2104) @t2056) @t2056))))))) % 6.41/6.69 (assume @p1379 (forall @t316 (=> @t484 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 @t2107))))))) % 6.41/6.69 (assume @p1380 (forall @t2112 (=> @t484 (=> @t2111 (=> @t2110 (=> @t1328 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2109) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t2108))))))))) % 6.41/6.69 (assume @p1381 (forall @t185 (=> @t484 (=> @t184 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 @t54) @t2113))))) % 6.41/6.69 (assume @p1382 (forall @t406 (=> @t484 (=> @t184 @t2115)))) % 6.41/6.69 (assume @p1383 (forall @t316 (=> @t484 (=> @t184 (=> @t1006 (=> @t780 (= (tptp.hAPP (tptp.hAPP @t1988 @t2116) @t2053) @t2053))))))) % 6.41/6.69 (assume @p1384 (forall @t316 (=> @t484 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 @t2119))))))) % 6.41/6.69 (assume @p1385 (forall @t185 (=> @t484 (=> @t184 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t54) @t2113))))) % 6.41/6.69 (assume @p1386 (forall @t406 (=> @t484 (=> @t184 (=> @t353 @t2103))))) % 6.41/6.69 (assume @p1387 (forall @t406 (=> @t484 (=> @t184 (and (=> @t359 (= @t2102 @t73)) (=> @t360 (= @t2102 @t2055))))))) % 6.41/6.69 (assume @p1388 (forall @t406 (=> @t484 (=> @t184 (=> @t353 (= @t2102 @t2120)))))) % 6.41/6.69 (assume @p1389 (forall @t406 (=> @t484 (=> @t184 (=> @t353 @t2115))))) % 6.41/6.69 (assume @p1390 (forall @t406 (=> @t484 (=> @t184 (and (=> @t359 (= @t2114 @t73)) (=> @t360 (= @t2114 @t2052))))))) % 6.41/6.69 (assume @p1391 (forall @t406 (=> @t484 (=> @t184 (=> @t353 (= @t2114 @t2120)))))) % 6.41/6.69 (assume @p1392 (forall @t243 (=> @t484 (=> @t184 (=> @t249 (=> @t2122 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t2056) @t51)))))))) % 6.41/6.69 (assume @p1393 (forall @t243 (=> @t484 (=> @t184 (=> @t249 (=> @t2122 @t2100)))))) % 6.41/6.69 (assume @p1394 (forall @t406 (=> @t484 (=> @t184 (=> @t323 (and (=> @t359 @t2125) (=> @t360 (= @t2124 @t2123)))))))) % 6.41/6.69 (assume @p1395 (forall @t243 (=> @t484 (=> @t184 (=> @t249 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2056) @t2126))))))) % 6.41/6.69 (assume @p1396 (forall @t406 (=> @t484 (=> @t184 (=> @t323 (and (=> @t359 (= @t2126 @t73)) (=> @t360 (= @t2126 @t2127)))))))) % 6.41/6.69 (assume @p1397 (forall @t1331 (=> @t484 (=> @t2128 (=> @t1328 (=> @t1327 (= (tptp.hAPP @t1096 (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 @t1324)) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 @t1326)))))))) % 6.41/6.69 (assume @p1398 (forall @t89 (=> @t484 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t86) @t73)))) % 6.41/6.69 (assume @p1399 (forall @t406 (=> @t484 (=> @t184 (=> @t323 (= @t2129 @t2126)))))) % 6.41/6.69 (assume @p1400 (forall @t406 (=> @t484 (=> @t184 (=> @t323 (tptp.hBOOL (tptp.hAPP @t838 @t2124))))))) % 6.41/6.69 (assume @p1401 (forall @t89 (=> @t484 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 @t86) @t73)))) % 6.41/6.69 (assume @p1402 (forall @t243 (=> @t484 (=> @t184 (=> @t249 @t2130))))) % 6.41/6.69 (assume @p1403 (forall @t406 (=> @t484 (=> @t184 (=> @t323 (= @t2131 @t2124)))))) % 6.41/6.69 (assume @p1404 (forall @t243 (=> @t484 (=> @t184 (= @t2126 @t2132))))) % 6.41/6.69 (assume @p1405 (forall @t243 (=> @t484 (=> @t184 (= @t2124 @t2132))))) % 6.41/6.69 (assume @p1406 (forall @t406 (=> @t484 (=> @t184 @t2134)))) % 6.41/6.69 (assume @p1407 (forall @t316 (=> @t484 (=> @t184 (=> @t1006 (=> @t780 (= (tptp.hAPP (tptp.hAPP @t2069 @t2135) @t2126) @t2126))))))) % 6.41/6.69 (assume @p1408 (forall @t185 (=> @t484 (=> @t184 (=> @t299 (= (tptp.hAPP @t2041 @t2126) @t13)))))) % 6.41/6.69 (assume @p1409 (forall @t316 (=> @t484 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 @t2138))))))) % 6.41/6.69 (assume @p1410 (forall @t2112 (=> @t484 (=> @t2111 (=> @t2110 (=> @t1328 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t2108)) @t2139)))))))) % 6.41/6.70 (assume @p1411 (forall @t185 (=> @t484 (=> @t184 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 @t54) @t2140))))) % 6.41/6.70 (assume @p1412 (forall @t406 (=> @t484 (=> @t184 @t2142)))) % 6.41/6.70 (assume @p1413 (forall @t316 (=> @t484 (=> @t184 (=> @t1006 (=> @t780 (= (tptp.hAPP (tptp.hAPP @t2069 @t2143) @t2124) @t2124))))))) % 6.41/6.70 (assume @p1414 (forall @t316 (=> @t484 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 @t2146))))))) % 6.41/6.70 (assume @p1415 (forall @t185 (=> @t484 (=> @t184 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t54) @t2140))))) % 6.41/6.70 (assume @p1416 (forall @t406 (=> @t484 (=> @t184 (=> @t353 @t2134))))) % 6.41/6.70 (assume @p1417 (forall @t406 (=> @t484 (=> @t184 (and (=> @t359 (= @t2133 @t73)) (=> @t360 (= @t2133 @t2127))))))) % 6.41/6.70 (assume @p1418 (forall @t406 (=> @t484 (=> @t184 (=> @t353 (= @t2133 @t2147)))))) % 6.41/6.70 (assume @p1419 (forall @t406 (=> @t484 (=> @t184 (=> @t353 @t2142))))) % 6.41/6.70 (assume @p1420 (forall @t406 (=> @t484 (=> @t184 (and (=> @t359 (= @t2141 @t73)) (=> @t360 (= @t2141 @t2123))))))) % 6.41/6.70 (assume @p1421 (forall @t406 (=> @t484 (=> @t184 (=> @t353 (= @t2141 @t2147)))))) % 6.41/6.70 (assume @p1422 (forall @t2152 (=> @t1124 (=> @t2151 (=> @t2150 (= (tptp.hAPP @t784 (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1791)) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t2149))))))) % 6.41/6.70 (assume @p1423 (forall @t2152 (=> @t1124 (=> @t2151 (=> @t2150 (= (tptp.hAPP @t784 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1791)) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t2149))))))) % 6.41/6.70 (assume @p1424 (forall @t243 (=> @t484 (=> @t184 (=> @t249 (=> @t2154 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t2126) @t51)))))))) % 6.41/6.70 (assume @p1425 (forall @t243 (=> @t484 (=> @t184 (=> @t249 (=> @t2154 @t2130)))))) % 6.41/6.70 (assume @p1426 (forall @t1331 (=> @t484 (=> @t2155 (=> @t1328 (=> @t1327 (= (tptp.hAPP @t1096 (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 @t1324)) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 @t1326)))))))) % 6.41/6.70 (assume @p1427 (forall @t1331 (=> @t484 (=> @t2155 (=> @t1328 (=> @t1327 (= (tptp.hAPP @t1096 @t2139) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1326)))))))) % 6.41/6.70 (assume @p1428 (forall @t1331 (=> @t484 (=> @t2128 (=> @t1328 (=> @t1327 (= (tptp.hAPP @t1096 @t2109) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1326)))))))) % 6.41/6.70 (assume @p1429 (forall @t1331 (=> @t1678 (=> (forall @t396 (= (tptp.hAPP @t1096 @t1886) (tptp.hAPP (tptp.hAPP @t1677 @t1330) @t1329))) (=> @t1328 (=> @t1327 (= (tptp.hAPP @t1096 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t1324)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t1326)))))))) % 6.41/6.70 (assume @p1430 (forall @t2164 (and (=> @t2163 (= @t2161 @t1074)) (=> (not @t2163) (= @t2161 (tptp.hAPP @t2159 (tptp.hAPP @t2025 @t2157))))))) % 6.41/6.70 (assume @p1431 (forall @t2172 (=> @t2171 (=> @t184 (= @t2170 (tptp.hAPP (tptp.hAPP @t2167 (tptp.c_Orderings_Obot__class_Obot @t74)) @t51)))))) % 6.41/6.70 (assume @p1432 (forall @t2068 (=> @t2067 (=> (forall @t7 (=> @t135 (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t2173 @t60))))) (=> @t2065 (forall @t7 (=> @t135 (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t2173 @t2062)))))))))) % 6.41/6.70 (assume @p1433 (forall @t89 (=> @t1378 (= (= @t1376 @t675) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1372 (tptp.hAPP @t1885 @t2175))))))) % 6.41/6.70 (assume @p1434 (forall @t1843 (=> @t1378 (= (= @t675 @t1375) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1372 (tptp.hAPP @t2176 @t1884))))))) % 6.41/6.70 (assume @p1435 (forall @t2182 (=> @t1378 (and (=> @t2180 @t2181) (=> (not @t2180) @t2179))))) % 6.41/6.70 (assume @p1436 (forall (@list @t74 @t58 @t289 @t51 @t13 @t8) (=> @t299 (=> @t2189 @t2186)))) % 6.41/6.70 (assume @p1437 (forall (@list @t210 @t74 @t18 @t58 @t289 @t51 @t13 @t8) (=> @t299 (=> @t2194 @t2193)))) % 6.41/6.70 (assume @p1438 (forall @t618 (tptp.hBOOL (tptp.hAPP @t2199 @t2196)))) % 6.41/6.70 (assume @p1439 (forall @t618 (tptp.hBOOL (tptp.hAPP @t2201 @t2196)))) % 6.41/6.70 (assume @p1440 (forall @t1473 (= (= @t2204 @t2203) @t2202))) % 6.41/6.70 (assume @p1441 (forall @t2208 (=> @t2207 (= (= @t2206 @t2205) @t579)))) % 6.41/6.70 (assume @p1442 (forall @t766 (=> @t184 (= @t2211 @t2210)))) % 6.41/6.70 (assume @p1443 (forall @t2218 (= (tptp.hBOOL (tptp.hAPP @t2217 @t2215)) @t2214))) % 6.41/6.70 (assume @p1444 (forall @t1473 (= (tptp.hBOOL (tptp.hAPP @t2219 @t2203)) @t1470))) % 6.41/6.70 (assume @p1445 (forall @t2218 (= (tptp.hBOOL (tptp.hAPP @t2221 @t2215)) @t2220))) % 6.41/6.70 (assume @p1446 (forall @t1473 (= (tptp.hBOOL (tptp.hAPP @t2222 @t2203)) @t1475))) % 6.41/6.70 (assume @p1447 (forall @t1512 (not (= @t2223 tptp.c_Int_OPls)))) % 6.41/6.70 (assume @p1448 (forall @t2225 (not (= tptp.c_Int_OPls @t2224)))) % 6.41/6.70 (assume @p1449 (forall @t550 (= (tptp.hAPP tptp.c_Int_Onat @t2197) @t336))) % 6.41/6.70 (assume @p1450 (forall @t550 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2197))))) % 6.41/6.70 (assume @p1451 (= @t2228 (tptp.hAPP @t2195 @t2227))) % 6.41/6.70 (assume @p1452 (= @t1480 @t2229)) % 6.41/6.70 (assume @p1453 (forall @t1144 (= (= @t2230 @t1480) @t1142))) % 6.41/6.70 (assume @p1454 (= @t2229 @t1480)) % 6.41/6.70 (assume @p1455 (forall @t1495 (tptp.hBOOL (tptp.hAPP @t1493 @t2231)))) % 6.41/6.70 (assume @p1456 (forall @t1920 (= (exists @t7 (and @t1915 @t135)) (exists @t7 @t2232)))) % 6.41/6.70 (assume @p1457 (forall @t1920 (= (forall @t7 (=> @t1915 @t135)) (forall @t7 @t2232)))) % 6.41/6.70 (assume @p1458 (forall @t550 (tptp.hBOOL (tptp.hAPP @t1493 @t2197)))) % 6.41/6.70 (assume @p1459 (forall @t1512 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2233) @t1480))))) % 6.41/6.70 (assume @p1460 (forall @t1913 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2236) @t2235)) @t2234))) % 6.41/6.70 (assume @p1461 (forall @t634 (= (tptp.hBOOL (tptp.hAPP @t2238 @t2230)) @t601))) % 6.41/6.70 (assume @p1462 (forall @t2164 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2160) @t1480)) @t2239))) % 6.41/6.70 (assume @p1463 (forall @t1913 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t2236) @t2235)) @t2240))) % 6.41/6.70 (assume @p1464 (forall @t634 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t2237) @t2230)) @t877))) % 6.41/6.70 (assume @p1465 (forall @t654 (= (tptp.hAPP (tptp.hAPP @t1394 @t2242) @t2241) (tptp.hAPP @t2195 (tptp.hAPP @t574 @t284))))) % 6.41/6.70 (assume @p1466 (forall @t524 (= (tptp.hAPP @t2244 @t2197) @t2243))) % 6.41/6.70 (assume @p1467 (forall (@list @t513 @t336 @t521) (= (tptp.hAPP @t2244 (tptp.hAPP (tptp.hAPP @t1394 @t2197) @t513)) (tptp.hAPP (tptp.hAPP @t1394 @t2243) @t513)))) % 6.41/6.70 (assume @p1468 (forall @t1531 (= @t1556 (exists @t430 (= @t261 (tptp.hAPP @t1557 @t2245)))))) % 6.41/6.70 (assume @p1469 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t1821 @t2204)) @t2246))) % 6.41/6.70 (assume @p1470 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2222 tptp.c_Int_OPls)) @t2248))) % 6.41/6.70 (assume @p1471 (forall @t1070 (=> @t679 (tptp.hBOOL (tptp.hAPP @t1083 @t2249))))) % 6.41/6.70 (assume @p1472 (forall @t2251 (=> @t679 (tptp.hBOOL (tptp.hAPP @t1083 @t2250))))) % 6.41/6.70 (assume @p1473 (forall @t672 (= (= (tptp.hAPP @t1409 @t2230) @t2237) @t2252))) % 6.41/6.70 (assume @p1474 (forall @t1070 (=> @t679 (not (tptp.hBOOL (tptp.hAPP @t2253 @t1082)))))) % 6.41/6.70 (assume @p1475 (forall @t1512 (= @t2223 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1491 @t561)) @t561)))) % 6.41/6.70 (assume @p1476 (forall @t618 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2197) (tptp.hAPP @t1409 @t2196)))))) % 6.41/6.70 (assume @p1477 (forall @t654 (= (tptp.hAPP (tptp.hAPP @t1402 @t2242) @t2241) (tptp.hAPP @t2195 @t2254)))) % 6.41/6.70 (assume @p1478 (forall @t524 (= @t2256 @t2255))) % 6.41/6.70 (assume @p1479 (forall @t524 (= @t2255 @t2256))) % 6.41/6.70 (assume @p1480 (forall @t150 (=> @t1903 (= (tptp.hAPP @t2177 @t1074) @t1082)))) % 6.41/6.70 (assume @p1481 (forall @t2208 (=> @t679 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2206) @t2205)) @t601)))) % 6.41/6.70 (assume @p1482 (forall @t968 (=> @t679 (=> @t548 @t2257)))) % 6.41/6.70 (assume @p1483 (forall @t968 (=> @t679 (=> @t2257 @t548)))) % 6.41/6.70 (assume @p1484 (= @t1477 @t2258)) % 6.41/6.70 (assume @p1485 (= @t2258 @t1477)) % 6.41/6.70 (assume @p1486 (forall @t2208 (=> @t679 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2206) @t2205)) @t877)))) % 6.41/6.70 (assume @p1487 (forall @t968 (=> @t1903 (= (tptp.hAPP @t2177 @t573) (tptp.hAPP (tptp.hAPP @t676 @t2249) @t2250))))) % 6.41/6.70 (assume @p1488 (forall @t968 (=> @t1903 (= (tptp.hAPP @t2177 @t971) (tptp.hAPP (tptp.hAPP @t754 @t2249) @t2250))))) % 6.41/6.70 (assume @p1489 (forall @t2164 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1462 @t2160))) @t2163))) % 6.41/6.70 (assume @p1490 (forall @t1495 (=> (not @t1926) @t2260))) % 6.41/6.70 (assume @p1491 (forall @t150 (=> @t1903 (= (tptp.hAPP @t2177 @t467) @t675)))) % 6.41/6.70 (assume @p1492 (forall @t1512 (= (tptp.hAPP @t1409 @t2223) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t2261))))) % 6.41/6.70 (assume @p1493 (forall @t2267 (= (tptp.hAPP (tptp.hAPP @t2266 @t51) @t289) (tptp.hAPP @t1899 (tptp.hAPP (tptp.hAPP @t2265 @t2264) @t2263))))) % 6.41/6.70 (assume @p1494 (forall @t2268 (= (tptp.hAPP @t1899 @t2264) @t51))) % 6.41/6.70 (assume @p1495 (forall @t1415 (=> @t1379 (not (tptp.c_Int_Oiszero @t8 @t2269))))) % 6.41/6.70 (assume @p1496 (forall @t2271 (=> @t1339 (tptp.hBOOL (tptp.hAPP @t2270 @t1321))))) % 6.41/6.70 (assume @p1497 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t2174)) % 6.41/6.70 (assume @p1498 (forall @t2271 (=> @t1903 (tptp.hBOOL (tptp.hAPP @t2270 @t1896))))) % 6.41/6.70 (assume @p1499 (forall @t654 (= (tptp.c_Nat__Transfer_Otsub @t2242 @t2241) (tptp.hAPP @t2195 (tptp.hAPP (tptp.hAPP @t468 @t95) @t284))))) % 6.41/6.70 (assume @p1500 (= @t1898 (tptp.hAPP @t2262 @t1901))) % 6.41/6.70 (assume @p1501 (forall @t1415 (=> @t1378 (= @t2269 (tptp.hAPP (tptp.hAPP @t676 @t2272) @t1390))))) % 6.41/6.70 (assume @p1502 (forall @t680 (=> @t1378 (= (tptp.hAPP (tptp.hAPP @t754 @t2273) @t348) @t348)))) % 6.41/6.70 (assume @p1503 (forall @t680 (=> @t1378 (= (tptp.hAPP @t795 @t2273) @t348)))) % 6.41/6.70 (assume @p1504 (forall @t1144 (= (tptp.hBOOL (tptp.hAPP @t2274 @t1480)) @t1142))) % 6.41/6.70 (assume @p1505 (forall @t150 (=> @t1378 (= @t2273 @t675)))) % 6.41/6.70 (assume @p1506 (forall @t150 (=> @t1378 (= @t675 @t2273)))) % 6.41/6.70 (assume @p1507 (= (tptp.hAPP @t2195 @t1239) @t1477)) % 6.41/6.70 (assume @p1508 (forall @t1531 (= @t1529 (exists @t430 (= @t261 (tptp.hAPP @t1557 @t2275)))))) % 6.41/6.70 (assume @p1509 (forall @t1495 @t2276)) % 6.41/6.70 (assume @p1510 (forall @t2277 (= (= @t2237 @t261) (and (= @t378 @t1908) @t1909)))) % 6.41/6.70 (assume @p1511 (forall @t1495 (and @t2276 (=> (not @t1494) (= @t2259 @t1480))))) % 6.41/6.70 (assume @p1512 (forall @t2277 (= (tptp.hBOOL (tptp.hAPP @t600 @t1908)) (tptp.hBOOL (tptp.hAPP @t2238 @t261))))) % 6.41/6.70 (assume @p1513 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t1822 @t2204)) @t2246))) % 6.41/6.70 (assume @p1514 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2219 tptp.c_Int_OPls)) @t2248))) % 6.41/6.70 (assume @p1515 (forall @t672 (= (tptp.hBOOL (tptp.hAPP @t2274 (tptp.hAPP @t1409 @t2237))) @t2252))) % 6.41/6.70 (assume @p1516 (forall @t875 (= (tptp.hAPP @t2195 @t544) (tptp.hAPP @t1491 @t2196)))) % 6.41/6.70 (assume @p1517 (forall @t550 (tptp.hBOOL (tptp.hAPP @t2199 @t1480)))) % 6.41/6.70 (assume @p1518 (forall @t550 (= (tptp.hAPP tptp.c_Int_Onat @t2198) @t1074))) % 6.41/6.70 (assume @p1519 (= @t1477 (tptp.hAPP @t1462 @t2174))) % 6.41/6.70 (assume @p1520 (forall @t618 (=> @t865 (= (tptp.hAPP (tptp.hAPP @t1408 @t2196) @t2197) (tptp.hAPP @t2195 @t551))))) % 6.41/6.70 (assume @p1521 (= @t2278 @t467)) % 6.41/6.70 (assume @p1522 (= @t467 @t2278)) % 6.41/6.70 (assume @p1523 (forall @t1070 (=> @t1903 (= (tptp.hAPP @t2177 @t544) (tptp.hAPP @t1066 @t2249))))) % 6.41/6.70 (assume @p1524 (forall @t550 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2200)))) % 6.41/6.70 (assume @p1525 (forall (@list @t521 @t336 @t8) (=> @t1339 (=> @t865 (= (tptp.hAPP @t2177 @t551) (tptp.hAPP (tptp.hAPP @t392 @t2249) @t2250)))))) % 6.41/6.70 (assume @p1526 (forall @t150 (=> @t1378 (not (tptp.c_Int_Oiszero @t8 @t2273))))) % 6.41/6.70 (assume @p1527 (forall @t1144 (= (tptp.hBOOL (tptp.hAPP @t1481 @t2230)) @t1141))) % 6.41/6.70 (assume @p1528 (forall (@list @t1054 @t378) (= (= @t378 @t1932) @t2279))) % 6.41/6.70 (assume @p1529 (forall @t2280 (= (= @t1932 @t378) @t2279))) % 6.41/6.70 (assume @p1530 (forall @t2282 (= (tptp.hBOOL (tptp.hAPP @t117 @t1929)) (and (forall @t430 (=> (= @t638 @t2245) (tptp.hBOOL (tptp.hAPP @t117 @t427)))) (=> (tptp.hBOOL (tptp.hAPP @t2281 @t1480)) @t1288))))) % 6.41/6.70 (assume @p1531 (forall @t610 (=> @t1488 (=> @t1252 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 (tptp.hAPP @t2283 @t592)) (tptp.hAPP @t2283 @t562))))))) % 6.41/6.70 (assume @p1532 (= @t2227 (tptp.hAPP tptp.c_Nat_OSuc @t2284))) % 6.41/6.70 (assume @p1533 (= @t2278 @t1239)) % 6.41/6.70 (assume @p1534 (forall @t550 (not (tptp.hBOOL (tptp.hAPP @t1493 @t2200))))) % 6.41/6.70 (assume @p1535 (forall @t550 (tptp.hBOOL (tptp.hAPP @t2201 @t1480)))) % 6.41/6.70 (assume @p1536 (tptp.hBOOL (tptp.hAPP @t1493 @t2228))) % 6.41/6.70 (assume @p1537 (forall @t550 (= @t2288 @t2286))) % 6.41/6.70 (assume @p1538 (forall (@list @t240 @t378) (= (= @t2237 @t1860) (and (= @t378 (tptp.hAPP tptp.c_Int_Onat @t1860)) (tptp.hBOOL (tptp.hAPP @t1493 @t1860)))))) % 6.41/6.70 (assume @p1539 (= @t2227 (tptp.hAPP tptp.c_Int_Onat @t2228))) % 6.41/6.70 (assume @p1540 (forall @t2271 (=> @t679 (= (tptp.hBOOL (tptp.hAPP @t1204 @t2205)) @t1141)))) % 6.41/6.70 (assume @p1541 (forall @t1357 (and (=> @t1806 (= @t2289 @t1480)) (=> @t1807 (= @t2289 @t1464))))) % 6.41/6.70 (assume @p1542 (forall @t89 (=> @t1384 (= (tptp.hBOOL (tptp.hAPP @t1383 @t675)) (tptp.hBOOL (tptp.hAPP @t1381 @t2174)))))) % 6.41/6.70 (assume @p1543 (forall @t1843 (=> @t1384 (= (tptp.hBOOL (tptp.hAPP @t1234 @t1375)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t2174) @t100)))))) % 6.41/6.70 (assume @p1544 (forall @t89 (=> @t1384 (= (tptp.hBOOL (tptp.hAPP @t1388 @t675)) (tptp.hBOOL (tptp.hAPP @t1386 @t2174)))))) % 6.41/6.70 (assume @p1545 (forall @t1843 (=> @t1384 (= (tptp.hBOOL (tptp.hAPP @t967 @t1375)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2174) @t100)))))) % 6.41/6.70 (assume @p1546 (forall @t1415 (=> @t1378 (= @t2272 (tptp.hAPP @t1372 (tptp.hAPP @t2176 @t1389)))))) % 6.41/6.70 (assume @p1547 (forall @t2182 (=> @t1378 (= (tptp.hAPP @t1392 @t675) (tptp.hAPP @t1372 (tptp.hAPP @t1395 @t2174)))))) % 6.41/6.70 (assume @p1548 (forall @t2280 (=> @t1938 (= (tptp.hBOOL (tptp.hAPP @t1933 @t378)) (tptp.hBOOL (tptp.hAPP @t1528 @t2237)))))) % 6.41/6.70 (assume @p1549 (forall @t618 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t1826) @t336)) (= @t567 (tptp.hAPP @t522 (tptp.hAPP @t939 @t2278)))))) % 6.41/6.70 (assume @p1550 (forall (@list @t100 @t73 @t117) (= (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t2195 @t2293))) (and (=> (tptp.hBOOL (tptp.hAPP @t2291 @t73)) (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP (tptp.hAPP @t1408 @t2236) @t2235)))) (=> @t2234 @t2290))))) % 6.41/6.70 (assume @p1551 (forall @t2294 (=> @t2171 (=> @t184 (= (tptp.hAPP (tptp.hAPP @t2165 @t289) @t2170) (tptp.hAPP (tptp.hAPP @t2167 @t289) @t51)))))) % 6.41/6.70 (assume @p1552 (forall @t2182 (=> @t1378 (and (=> @t1806 @t2179) (=> @t1807 @t2181))))) % 6.41/6.70 (assume @p1553 (forall @t1415 (=> @t1378 (= (tptp.hAPP (tptp.hAPP @t392 @t675) @t1390) (tptp.hAPP @t1372 (tptp.hAPP @t2176 @t1410)))))) % 6.41/6.70 (assume @p1554 (forall @t2182 (=> @t1378 (= (tptp.hAPP @t1406 @t675) (tptp.hAPP @t1372 (tptp.hAPP @t1395 @t2175)))))) % 6.41/6.70 (assume @p1555 (forall @t1106 (= @t1094 (tptp.hAPP @t2297 (tptp.hAPP (tptp.hAPP @t2295 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t1579 @t74) @t52) @t2)) @t56))))) % 6.41/6.70 (assume @p1556 (forall @t2299 (=> @t299 (=> @t2298 (tptp.hBOOL (tptp.hAPP @t1102 @t2185)))))) % 6.41/6.70 (assume @p1557 (forall @t2303 (=> @t2171 (=> @t2302 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t818 @t2300) (tptp.hAPP @t2169 @t2108))))))) % 6.41/6.70 (assume @p1558 (forall @t2271 (=> @t1903 (= @t2205 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 (tptp.hAPP (tptp.hAPP @t2304 @t676) @t675) @t281 @t1082))))) % 6.41/6.70 (assume @p1559 (forall @t2294 (=> @t2171 (=> @t746 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t818 @t2170) (tptp.hAPP (tptp.hAPP @t2168 @t289) @t2))))))) % 6.41/6.70 (assume @p1560 (forall @t97 (=> @t1903 (=> @t1630 (= (tptp.hAPP @t2177 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2308 @t95))) (tptp.hAPP (tptp.hAPP @t676 @t2305) @t2305)))))) % 6.41/6.70 (assume @p1561 (forall @t2315 (= (tptp.hAPP @t2297 (tptp.hAPP (tptp.hAPP @t2314 (tptp.hAPP (tptp.hAPP @t2313 @t2311) @t289)) @t721)) (tptp.hAPP (tptp.hAPP @t2311 @t2310) @t721)))) % 6.41/6.70 (assume @p1562 (forall @t2321 (= (tptp.hAPP (tptp.hAPP @t2296 @t2320) @t721) (tptp.hAPP @t2319 (tptp.hAPP (tptp.hAPP @t2318 (tptp.hAPP (tptp.hAPP @t2317 @t2296) @t289)) @t721))))) % 6.41/6.70 (assume @p1563 (forall @t2324 (= @t2186 (exists @t7 (and @t363 @t2323))))) % 6.41/6.70 (assume @p1564 (forall @t2326 (= @t2193 (exists @t7 (and @t363 @t2325))))) % 6.41/6.70 (assume @p1565 (forall @t634 (= (= @t2237 @t2230) @t579))) % 6.41/6.70 (assume @p1566 (forall (@list @t117 @t289 @t51 @t74 @t8) (= (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 @t2330)) @t135)) (forall @t7 (=> @t742 (forall @t2329 (=> (tptp.hBOOL (tptp.hAPP @t2328 @t2209)) (tptp.hBOOL (tptp.hAPP @t117 @t2327))))))))) % 6.41/6.70 (assume @p1567 (forall @t1913 (= (= @t2236 @t2235) @t328))) % 6.41/6.70 (assume @p1568 (forall @t2267 (= (tptp.hBOOL (tptp.hAPP @t2333 @t289)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2331 @t2264) @t2263))))) % 6.41/6.70 (assume @p1569 (forall @t2268 (= (tptp.hBOOL (tptp.hAPP @t2335 @t51)) (tptp.hBOOL (tptp.hAPP @t2334 @t2264))))) % 6.41/6.70 (assume @p1570 (forall @t2267 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2337 @t51) @t289)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2336 @t2264) @t2263))))) % 6.41/6.70 (assume @p1571 (forall @t2341 (= (tptp.hBOOL (tptp.hAPP @t2340 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2338 @t2236) @t2264))))) % 6.41/6.70 (assume @p1572 (forall @t2267 (= @t297 (= @t2264 @t2263)))) % 6.41/6.70 (assume @p1573 (forall @t2268 (= @t2344 (tptp.hAPP @t2342 @t2264)))) % 6.41/6.70 (assume @p1574 (forall @t1473 (= (= @t2346 @t2345) @t2202))) % 6.41/6.70 (assume @p1575 (forall @t1473 (= (tptp.hBOOL (tptp.hAPP @t2347 @t2345)) @t1470))) % 6.41/6.70 (assume @p1576 (forall @t2218 (= (tptp.hBOOL (tptp.hAPP @t2350 @t2348)) @t2214))) % 6.41/6.70 (assume @p1577 (forall @t1473 (= (tptp.hBOOL (tptp.hAPP @t2351 @t2345)) @t1475))) % 6.41/6.70 (assume @p1578 (forall @t2218 (= (tptp.hBOOL (tptp.hAPP @t2352 @t2348)) @t2220))) % 6.41/6.70 (assume @p1579 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 6.41/6.70 (assume @p1580 (forall @t2353 (= (= tptp.c_Int_OPls @t2345) (= tptp.c_Int_OPls @t1468)))) % 6.41/6.70 (assume @p1581 (forall @t2247 (= (= @t2346 tptp.c_Int_OPls) (= @t205 tptp.c_Int_OPls)))) % 6.41/6.70 (assume @p1582 (forall @t2355 (not (= @t2354 @t2224)))) % 6.41/6.70 (assume @p1583 (forall @t2355 (not (= @t2223 @t2356)))) % 6.41/6.70 (assume @p1584 (forall @t1512 (= @t2354 (tptp.hAPP @t1525 @t561)))) % 6.41/6.70 (assume @p1585 (forall @t2355 (= (tptp.hAPP @t2358 @t2356) (tptp.c_Int_OBit0 @t2357)))) % 6.41/6.70 (assume @p1586 (forall @t2355 (= (tptp.hAPP (tptp.hAPP @t1402 @t2354) @t556) @t2359))) % 6.41/6.70 (assume @p1587 (forall @t2355 (= (tptp.hAPP @t2362 @t2356) @t2361))) % 6.41/6.70 (assume @p1588 (forall @t1512 (= (tptp.hAPP @t1409 @t2354) (tptp.c_Int_OBit0 @t2261)))) % 6.41/6.70 (assume @p1589 (forall @t2164 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2363) @t1480)) @t2239))) % 6.41/6.70 (assume @p1590 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2347 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t1469 tptp.c_Int_OPls))))) % 6.41/6.70 (assume @p1591 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t1821 @t2346)) @t2246))) % 6.41/6.70 (assume @p1592 (forall @t2218 (= (tptp.hBOOL (tptp.hAPP @t2350 @t2215)) @t2214))) % 6.41/6.70 (assume @p1593 (forall @t1473 (= (tptp.hBOOL (tptp.hAPP @t2347 @t2203)) @t1470))) % 6.41/6.70 (assume @p1594 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2351 tptp.c_Int_OPls)) @t2248))) % 6.41/6.70 (assume @p1595 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t1822 @t2346)) (tptp.hBOOL (tptp.hAPP @t1822 @t205))))) % 6.41/6.70 (assume @p1596 (forall @t2218 (= (tptp.hBOOL (tptp.hAPP @t2221 @t2348)) @t2220))) % 6.41/6.70 (assume @p1597 (forall @t1473 (= (tptp.hBOOL (tptp.hAPP @t2222 @t2345)) @t1475))) % 6.41/6.70 (assume @p1598 (forall @t2355 (= (tptp.hAPP @t2365 @t2356) @t2364))) % 6.41/6.70 (assume @p1599 (forall @t2355 (= (tptp.hAPP @t2358 @t2224) @t2364))) % 6.41/6.70 (assume @p1600 (forall @t2225 (= (tptp.hAPP @t2366 @t2356) (tptp.c_Int_OBit0 (tptp.hAPP @t2366 @t556))))) % 6.41/6.70 (assume @p1601 (forall @t2355 (= (tptp.hAPP @t2367 @t2356) (tptp.c_Int_OBit1 @t2360)))) % 6.41/6.70 (assume @p1602 (forall @t2355 (= (tptp.hAPP @t2367 @t2224) @t2361))) % 6.41/6.70 (assume @p1603 (forall @t2164 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1462 @t2363))) @t2163))) % 6.41/6.70 (assume @p1604 (forall @t1512 (= (tptp.c_Int_Opred @t2354) (tptp.c_Int_OBit1 @t1511)))) % 6.41/6.70 (assume @p1605 (forall @t1512 (= (tptp.c_Int_Opred @t2223) @t2354))) % 6.41/6.70 (assume @p1606 (forall @t1446 (=> @t1379 (= (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1372 @t2363)) (tptp.c_Int_Oiszero @t8 @t1373))))) % 6.41/6.70 (assume @p1607 (forall @t1512 (= (tptp.c_Int_Osucc @t2223) (tptp.c_Int_OBit0 @t1458)))) % 6.41/6.70 (assume @p1608 (forall @t1512 (= (tptp.c_Int_Osucc @t2354) @t2223))) % 6.41/6.70 (assume @p1609 (forall @t2164 (= @t2368 (tptp.hAPP @t2159 @t2157)))) % 6.41/6.70 (assume @p1610 (forall @t1415 (=> @t1378 (= @t2370 (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t1118 @t1390)) @t1390))))) % 6.41/6.70 (assume @p1611 (forall @t2218 (= (tptp.hBOOL (tptp.hAPP @t2217 @t2348)) @t2220))) % 6.41/6.70 (assume @p1612 (forall @t1473 (= (tptp.hBOOL (tptp.hAPP @t2219 @t2345)) @t1475))) % 6.41/6.70 (assume @p1613 (forall @t2218 (= (tptp.hBOOL (tptp.hAPP @t2352 @t2215)) @t2214))) % 6.41/6.70 (assume @p1614 (forall @t1473 (= (tptp.hBOOL (tptp.hAPP @t2351 @t2203)) @t1470))) % 6.41/6.70 (assume @p1615 (forall @t2355 (= (tptp.hAPP (tptp.hAPP @t1402 @t2223) @t556) (tptp.hAPP (tptp.hAPP @t1394 @t2359) @t556)))) % 6.41/6.70 (assume @p1616 (forall (@list @t638 @t2371 @t8) (=> @t1903 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2371 @t1074 @t638) @t638)))) % 6.41/6.70 (assume @p1617 (forall (@list @t638 @t281 @t2371 @t8) (=> @t1903 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2371 @t282 @t638) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2371 @t281 (tptp.hAPP @t2371 @t638)))))) % 6.41/6.70 (assume @p1618 (forall @t2355 (= (tptp.hAPP @t2362 @t2224) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t1408 @t1511) @t556))))) % 6.41/6.70 (assume @p1619 (forall @t2355 (= (tptp.hAPP @t2365 @t2224) (tptp.c_Int_OBit0 (tptp.hAPP @t1525 (tptp.c_Int_Osucc @t556)))))) % 6.41/6.70 (assume @p1620 (forall @t1415 (=> @t1378 (= (tptp.hAPP @t1068 @t1390) @t2370)))) % 6.41/6.70 (assume @p1621 (forall @t550 (=> (tptp.hBOOL (tptp.hAPP @t1493 @t2372)) (and (tptp.hBOOL (tptp.hAPP @t1493 (tptp.hAPP @t1462 (tptp.c_Int_OBit0 @t336)))) (tptp.hBOOL (tptp.hAPP @t1493 (tptp.hAPP @t1462 (tptp.c_Int_OBit1 @t336)))))))) % 6.41/6.70 (assume @p1622 (= @t2307 (tptp.hAPP @t2195 @t2373))) % 6.41/6.70 (assume @p1623 (forall @t2375 (= (tptp.hBOOL (tptp.hAPP @t329 @t2330)) (exists @t7 (and @t742 @t2374))))) % 6.41/6.70 (assume @p1624 (forall @t965 (= (= @t56 @t2330) @t2376))) % 6.41/6.70 (assume @p1625 (forall (@list @t51 @t8 @t74) (= (tptp.hAPP @t2297 (tptp.hAPP @t2377 @t56)) @t56))) % 6.41/6.70 (assume @p1626 (forall @t1585 (and (=> @t248 (= @t2380 @t386)) (=> @t249 (= @t2380 @t18))))) % 6.41/6.70 (assume @p1627 (forall @t2381 (= (= @t2330 @t56) @t2376))) % 6.41/6.70 (assume @p1628 (forall @t2387 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t2386) @t289)) (forall @t7 (=> @t2384 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t2382) @t289))))))) % 6.41/6.70 (assume @p1629 (forall @t2390 (= (tptp.hAPP (tptp.hAPP @t2296 @t2389) @t289) (tptp.hAPP @t2319 @t2388)))) % 6.41/6.70 (assume @p1630 (forall (@list @t289 @t51 @t210 @t2 @t8 @t74) (= (tptp.hAPP @t1093 @t2320) (tptp.hAPP @t2319 (tptp.hAPP (tptp.hAPP @t2391 @t1093) @t289))))) % 6.41/6.70 (assume @p1631 (forall @t2395 (= (tptp.hAPP @t2297 @t2394) (tptp.hAPP @t2393 @t289)))) % 6.41/6.70 (assume @p1632 (forall @t2400 (= (tptp.hAPP @t2385 @t2399) (tptp.hAPP (tptp.hAPP @t1662 @t2386) (tptp.hAPP @t2385 @t289))))) % 6.41/6.70 (assume @p1633 (forall @t2402 (= (tptp.hAPP (tptp.hAPP @t2296 @t1736) @t2108) (tptp.hAPP (tptp.hAPP @t1662 (tptp.hAPP @t2297 @t2108)) (tptp.hAPP @t2401 @t2108))))) % 6.41/6.70 (assume @p1634 (forall @t2407 (=> @t1378 (= (tptp.hAPP @t2406 @t2405) @t2404)))) % 6.41/6.70 (assume @p1635 (forall @t2407 (=> @t1378 (= (tptp.hAPP @t2408 @t513) @t2404)))) % 6.41/6.70 (assume @p1636 (forall @t150 (=> @t1378 (= @t1067 @t2405)))) % 6.41/6.70 (assume @p1637 (forall @t2416 (=> @t2415 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t2414) @t51) @t2) @t73) (tptp.hAPP @t2413 @t2411))))) % 6.41/6.70 (assume @p1638 (forall @t2420 (=> @t2415 (= (tptp.hAPP @t2413 (tptp.hAPP (tptp.hAPP @t2419 @t2418) @t2)) (tptp.hAPP @t2418 (tptp.hAPP (tptp.hAPP @t2417 @t2413) @t2410)))))) % 6.41/6.70 (assume @p1639 (forall @t2425 (= @t2424 @t2422))) % 6.41/6.70 (assume @p1640 (forall @t2426 (= @t2422 @t2424))) % 6.41/6.70 (assume @p1641 (= @t2284 @t2373)) % 6.41/6.70 (assume @p1642 (= @t2373 @t2284)) % 6.41/6.70 (assume @p1643 (tptp.hBOOL (tptp.hAPP @t1493 @t2307))) % 6.41/6.70 (assume @p1644 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t553 @t2373) @t336) @t2287))) % 6.41/6.70 (assume @p1645 (forall @t550 (= (tptp.hAPP @t570 @t2373) @t2287))) % 6.41/6.70 (assume @p1646 (forall @t1495 (= (tptp.hAPP (tptp.hAPP @t855 @t513) @t2373) @t2427))) % 6.41/6.70 (assume @p1647 (forall @t1495 (= (tptp.hAPP @t2428 @t513) @t2427))) % 6.41/6.70 (assume @p1648 (= @t2373 @t2429)) % 6.41/6.70 (assume @p1649 (= (tptp.hAPP @t554 @t467) @t2373)) % 6.41/6.70 (assume @p1650 (forall @t550 (=> (tptp.hBOOL (tptp.hAPP @t549 @t2373)) (or @t1145 (= @t336 @t1239))))) % 6.41/6.70 (assume @p1651 (= @t2429 @t2284)) % 6.41/6.70 (assume @p1652 (forall @t2433 (=> @t2432 (= (tptp.hAPP @t2184 @t2431) (tptp.hAPP @t1110 @t2185))))) % 6.41/6.70 (assume @p1653 (forall @t2434 (=> @t299 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t997 @t2187) @t2185))))) % 6.41/6.70 (assume @p1654 (forall @t2438 (=> @t2437 (= (tptp.hAPP (tptp.hAPP @t1734 @t2436) @t2435) @t2435)))) % 6.41/6.70 (assume @p1655 (forall @t2445 (and (=> @t2443 (= @t2442 @t386)) (=> @t2444 (= @t2442 @t2441))))) % 6.41/6.70 (assume @p1656 (forall @t243 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t55) @t51) @t1577) @t51))) % 6.41/6.70 (assume @p1657 (forall @t2445 (and (=> @t2443 (= @t2441 @t2446)) (=> @t2444 (= @t2441 @t2442))))) % 6.41/6.70 (assume @p1658 (forall (@list @t1010 @t2108 @t51 @t74 @t8) (=> @t2415 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP @t2413 @t2108)) @t1010)) (forall @t7 (=> @t742 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2447) @t1010)))))))) % 6.41/6.70 (assume @p1659 (forall (@list @t2 @t51 @t74 @t13 @t8) (=> @t2448 (= (tptp.hBOOL (tptp.hAPP @t690 (tptp.hAPP @t2413 @t2))) (exists @t7 (and @t742 (tptp.hBOOL (tptp.hAPP @t690 @t5)))))))) % 6.41/6.70 (assume @p1660 (forall @t2455 (and (=> @t2443 (= @t2454 @t289)) (=> @t2444 (= @t2454 @t2453))))) % 6.41/6.70 (assume @p1661 (forall @t2455 (and (=> @t2443 (= @t2457 @t51)) (=> @t2444 (= @t2457 @t2456))))) % 6.41/6.70 (assume @p1662 (forall @t2455 (and (=> @t2443 (= @t2453 @t386)) (=> @t2444 (= @t2453 @t2454))))) % 6.41/6.70 (assume @p1663 (forall @t2455 (and (=> @t2443 (= @t2456 @t386)) (=> @t2444 (= @t2456 @t2457))))) % 6.41/6.70 (assume @p1664 (forall @t2459 (= (tptp.hAPP (tptp.hAPP @t2296 @t2458) @t289) (tptp.hAPP (tptp.hAPP @t1662 @t2187) @t2330)))) % 6.41/6.70 (assume @p1665 (forall @t2461 (=> @t2171 (=> @t249 (= (tptp.hAPP @t2169 @t2460) @t2108))))) % 6.41/6.70 (assume @p1666 (forall @t2267 (=> @t2466 (=> @t2465 (= @t2464 (tptp.hAPP @t2262 (tptp.hAPP (tptp.hAPP @t2266 @t2463) @t2462))))))) % 6.41/6.70 (assume @p1667 (forall @t2474 (and (=> @t2471 (= @t2470 (tptp.hAPP (tptp.hAPP @t1394 @t2473) @t1477))) (=> @t2472 (= @t2470 (tptp.hAPP (tptp.hAPP @t1408 (tptp.hAPP @t2308 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2467 @t1463))) @t1477)))))) % 6.41/6.70 (assume @p1668 (forall @t2482 (=> @t2481 (= @t2479 (tptp.hAPP (tptp.hAPP @t1408 (tptp.hAPP @t2308 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2475 @t348))) @t1477))))) % 6.41/6.70 (assume @p1669 (forall @t2482 (=> @t2483 (= @t2479 (tptp.hAPP @t1491 (tptp.hAPP @t2308 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t39 @t348))))))) % 6.41/6.70 (assume @p1670 (forall @t2482 (=> @t2481 (= @t2485 (tptp.hAPP (tptp.hAPP @t2484 @t2475) @t348))))) % 6.41/6.70 (assume @p1671 (forall @t2482 (=> @t2483 (= @t2485 (tptp.hAPP @t2486 @t348))))) % 6.41/6.70 (assume @p1672 (forall @t508 (=> @t2493 (= (tptp.hAPP (tptp.hAPP @t676 @t2492) @t333) @t707)))) % 6.41/6.70 (assume @p1673 (forall @t512 (=> @t2493 (= (tptp.hAPP (tptp.hAPP @t676 @t2494) @t333) @t707)))) % 6.41/6.70 (assume @p1674 (forall @t502 (=> @t2493 (= @t2492 @t348)))) % 6.41/6.70 (assume @p1675 (forall @t503 (=> @t2493 (= @t2494 @t348)))) % 6.41/6.70 (assume @p1676 (forall @t502 (=> @t2493 (= (tptp.hAPP (tptp.hAPP @t676 @t2487) @t2491) @t348)))) % 6.41/6.70 (assume @p1677 (forall @t2482 (= @t348 @t2498))) % 6.41/6.70 (assume @p1678 (forall @t973 (= (tptp.hAPP (tptp.hAPP @t2484 @t2502) @t333) (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1597 @t2501)) (tptp.hAPP (tptp.hAPP @t2484 @t2500) @t333))))) % 6.41/6.70 (assume @p1679 (forall (@list @t561 @t348 @t39) (= (tptp.hAPP (tptp.hAPP @t1394 @t2498) @t561) @t2504))) % 6.41/6.70 (assume @p1680 (forall (@list @t561 @t39 @t348) (= (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP (tptp.hAPP @t1402 @t2497) @t39)) @t2495)) @t561) @t2504))) % 6.41/6.70 (assume @p1681 (forall @t618 (= (tptp.hAPP (tptp.hAPP @t1402 @t336) @t2507) (tptp.hAPP @t2506 @t2505)))) % 6.41/6.70 (assume @p1682 (forall @t524 (= @t2505 (tptp.hAPP @t2506 (tptp.hAPP (tptp.hAPP @t1402 @t2507) @t336))))) % 6.41/6.70 (assume @p1683 (forall @t973 (= (tptp.hAPP (tptp.hAPP @t2484 @t2508) @t333) (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t2496 @t333)) @t2501)) (tptp.hAPP (tptp.hAPP @t2484 (tptp.hAPP (tptp.hAPP @t1394 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t348 @t333)) @t2499)) @t333))))) % 6.41/6.70 (assume @p1684 (forall @t349 (and (= (tptp.hAPP @t2496 @t1480) @t1480) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t348 @t1480) @t348)))) % 6.41/6.70 (assume @p1685 (forall @t502 (=> @t2493 (= (tptp.hAPP (tptp.hAPP @t2488 @t2487) @t39) @t1082)))) % 6.41/6.70 (assume @p1686 (forall @t2482 (= (tptp.hAPP (tptp.hAPP @t2484 @t2495) @t39) @t1480))) % 6.41/6.70 (assume @p1687 (forall @t502 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t2487 @t39) @t2487)))) % 6.41/6.70 (assume @p1688 (forall @t680 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t348 @t348) @t1082)))) % 6.41/6.70 (assume @p1689 (forall @t680 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t348 @t1082) @t348)))) % 6.41/6.70 (assume @p1690 (forall @t680 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t1082 @t348) @t1082)))) % 6.41/6.70 (assume @p1691 (forall @t502 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t686 @t39) @t2487)))) % 6.41/6.70 (assume @p1692 (forall @t503 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t726 @t39) @t2487)))) % 6.41/6.70 (assume @p1693 (forall @t508 (=> @t2493 (= @t2511 @t2510)))) % 6.41/6.70 (assume @p1694 (forall @t508 (=> @t2493 (= @t2511 @t2514)))) % 6.41/6.70 (assume @p1695 (forall @t508 (=> @t2493 (= @t2511 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t2513 @t2509) @t333))))) % 6.41/6.70 (assume @p1696 (forall @t508 (=> @t2493 (= @t2510 @t2511)))) % 6.41/6.70 (assume @p1697 (forall @t740 (=> @t2493 (= @t2514 @t2511)))) % 6.41/6.70 (assume @p1698 (forall @t2517 (=> @t2493 (=> @t2516 (=> @t2515 (= @t2511 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP (tptp.hAPP @t676 @t169) @t1604) @t333))))))) % 6.41/6.70 (assume @p1699 (forall @t508 (=> @t2493 (= @t2518 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t795 @t2509) @t333))))) % 6.41/6.70 (assume @p1700 (forall @t508 (=> @t2493 (= @t2518 @t2520)))) % 6.41/6.70 (assume @p1701 (forall @t508 (=> @t2493 (= @t2518 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t2519 @t2509) @t333))))) % 6.41/6.70 (assume @p1702 (forall @t739 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t1187 @t1186) (tptp.hAPP @t1185 @t2487))))) % 6.41/6.70 (assume @p1703 (forall @t740 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t900 @t794) (tptp.hAPP (tptp.hAPP @t754 @t2487) @t333))))) % 6.41/6.70 (assume @p1704 (forall @t740 (=> @t2493 (= @t2520 @t2518)))) % 6.41/6.70 (assume @p1705 (forall @t2517 (=> @t2493 (=> @t2516 (=> @t2515 (= @t2518 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP (tptp.hAPP @t754 @t169) @t1604) @t333))))))) % 6.41/6.70 (assume @p1706 (forall @t508 (=> @t2522 (= @t2521 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t683 @t2509) @t333))))) % 6.41/6.70 (assume @p1707 (forall @t508 (=> @t2522 (= @t2521 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t2523 @t39) @t333))))) % 6.41/6.70 (assume @p1708 (forall @t508 (=> @t2522 (= @t2521 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t2523 @t2509) @t333))))) % 6.41/6.70 (assume @p1709 (forall @t2517 (=> @t2522 (=> @t2516 (=> @t2515 (= @t2521 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP (tptp.hAPP @t392 @t169) @t1604) @t333))))))) % 6.41/6.70 (assume @p1710 (forall @t502 (=> @t2522 (= @t2524 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t784 @t2487) @t39))))) % 6.41/6.70 (assume @p1711 (forall (@list @t169 @t39 @t348 @t8) (=> @t2522 (=> (= @t2487 (tptp.c_Divides_Odiv__class_Omod @t8 @t169 @t39)) (= @t2524 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t784 @t169) @t39)))))) % 6.41/6.70 (assume @p1712 (forall @t2525 (= (tptp.hAPP (tptp.hAPP @t2484 @t1480) @t39) @t1480))) % 6.41/6.70 (assume @p1713 (forall @t349 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t348 @t348) @t1480))) % 6.41/6.70 (assume @p1714 (forall @t2525 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1480 @t39) @t1480))) % 6.41/6.70 (assume @p1715 (forall @t2482 (= (tptp.hAPP @t2528 @t2526) @t2497))) % 6.41/6.70 (assume @p1716 (forall @t2482 (= @t2530 @t2529))) % 6.41/6.70 (assume @p1717 (forall @t973 (= @t2532 @t2531))) % 6.41/6.70 (assume @p1718 (forall @t973 (= @t2531 @t2532))) % 6.41/6.70 (assume @p1719 (forall (@list @t521 @t284 @t95) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t1812 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t284 @t521)) @t521) @t2533))) % 6.41/6.70 (assume @p1720 (forall @t2535 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t1408 @t2534) @t284) @t521) @t2533))) % 6.41/6.70 (assume @p1721 (forall (@list @t521 @t95) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t1409 @t2534) @t521) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t1409 @t95) @t521)))) % 6.41/6.70 (assume @p1722 (forall @t2482 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2527 @t2526) (tptp.hAPP @t1409 @t2495)))) % 6.41/6.70 (assume @p1723 (forall @t2482 (= @t2537 (tptp.hAPP @t1409 @t2536)))) % 6.41/6.70 (assume @p1724 (forall @t680 (=> @t2493 (= (tptp.hAPP @t2489 @t1082) @t1082)))) % 6.41/6.70 (assume @p1725 (forall @t680 (=> @t2493 (= (tptp.hAPP (tptp.hAPP @t2488 @t1082) @t348) @t1082)))) % 6.41/6.70 (assume @p1726 (forall @t680 (=> @t2493 (= (tptp.hAPP @t2489 @t675) @t348)))) % 6.41/6.70 (assume @p1727 (forall @t502 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t796 @t39) @t1082)))) % 6.41/6.70 (assume @p1728 (forall @t503 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t1052 @t39) @t1082)))) % 6.41/6.70 (assume @p1729 (forall @t2540 (=> @t2539 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t348 @t2538) (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1617 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2497 @t333))) @t2495))))) % 6.41/6.70 (assume @p1730 (forall @t508 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t2541 @t39) @t2487)))) % 6.41/6.70 (assume @p1731 (forall @t740 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t2542 @t39) @t2487)))) % 6.41/6.70 (assume @p1732 (forall @t680 (=> @t2493 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t348 @t675) @t1082)))) % 6.41/6.70 (assume @p1733 (forall @t2548 (=> @t2547 (and (=> @t2545 (= @t2530 @t2543)) (=> @t2546 (= @t2530 @t2544)))))) % 6.41/6.70 (assume @p1734 (forall @t2548 (=> @t2547 (and (=> @t2545 (= @t2529 @t2543)) (=> @t2546 (= @t2529 @t2544)))))) % 6.41/6.70 (assume @p1735 (forall @t654 (=> @t1630 (=> @t1629 (tptp.hBOOL (tptp.hAPP @t1493 @t2550)))))) % 6.41/6.70 (assume @p1736 (forall @t2557 (=> @t2556 (= @t2554 (tptp.hBOOL (tptp.hAPP @t2551 @t1480)))))) % 6.41/6.70 (assume @p1737 (forall @t2557 (=> @t2559 (= @t2554 (tptp.hBOOL (tptp.hAPP @t1481 @t13)))))) % 6.41/6.70 (assume @p1738 (forall @t2482 (=> @t2562 (=> @t2560 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2497) @t1480)))))) % 6.41/6.70 (assume @p1739 (forall @t349 (=> @t2564 (= (tptp.hAPP @t2496 @t348) @t1477)))) % 6.41/6.70 (assume @p1740 (forall @t2565 (=> (tptp.hBOOL (tptp.hAPP @t1493 @t521)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t521 @t561)) @t521))))) % 6.41/6.70 (assume @p1741 (forall @t654 (=> @t1630 (=> @t1629 (tptp.hBOOL (tptp.hAPP @t1493 @t2566)))))) % 6.41/6.70 (assume @p1742 (forall @t2548 (=> @t2560 @t2567))) % 6.41/6.70 (assume @p1743 (forall @t2548 (=> @t2569 @t2568))) % 6.41/6.70 (assume @p1744 (forall @t1465 (= (tptp.hAPP (tptp.hAPP @t2484 @t2572) @t2468) @t2571))) % 6.41/6.70 (assume @p1745 (forall @t2575 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t378 @t60) @t1480) (exists @t2574 (= @t378 (tptp.hAPP (tptp.hAPP @t1402 @t60) @t2573)))))) % 6.41/6.70 (assume @p1746 (forall @t2355 (=> (not (= @t2579 @t1480)) @t2577))) % 6.41/6.70 (assume @p1747 (forall @t2355 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2261 @t556) @t1480)) @t2577))) % 6.41/6.70 (assume @p1748 (forall @t739 (=> @t2493 (and (=> @t2581 (= @t2580 @t1082)) @t2583)))) % 6.41/6.70 (assume @p1749 (forall @t503 (=> @t2493 (=> @t1130 (= (tptp.hAPP (tptp.hAPP @t2488 @t796) @t39) @t348))))) % 6.41/6.70 (assume @p1750 (forall @t503 (=> @t2493 (=> @t1130 (= (tptp.hAPP (tptp.hAPP @t2488 @t1052) @t39) @t348))))) % 6.41/6.70 (assume @p1751 (forall @t739 (=> @t2493 (=> @t2582 (= (tptp.hAPP (tptp.hAPP @t2488 @t900) @t794) @t2490))))) % 6.41/6.70 (assume @p1752 (forall @t739 (=> @t2493 @t2583))) % 6.41/6.70 (assume @p1753 (forall @t680 (=> @t2493 (=> @t1131 (= (tptp.hAPP @t2489 @t348) @t675))))) % 6.41/6.70 (assume @p1754 (tptp.c_Nat__Transfer_Onat__set @t1898)) % 6.41/6.70 (assume @p1755 (forall @t2592 (=> @t2591 (= @t2590 (forall @t2587 (=> @t2586 @t2584)))))) % 6.41/6.70 (assume @p1756 (forall @t2592 (=> @t2595 (= @t2590 (forall @t2587 (=> @t2593 @t2584)))))) % 6.41/6.70 (assume @p1757 (forall @t2267 (=> @t2466 (=> @t2465 (tptp.c_Nat__Transfer_Onat__set @t2464))))) % 6.41/6.70 (assume @p1758 (forall (@list @t1791) (= (tptp.c_Nat__Transfer_Onat__set @t1791) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2596 @t1791)) @t1915))))) % 6.41/6.70 (assume @p1759 (forall @t2598 (=> @t2466 (=> @t2597 @t1827)))) % 6.41/6.70 (assume @p1760 (forall (@list @t205 @t638) (= (= @t2600 @t1480) (or @t2599 (and (tptp.hBOOL (tptp.hAPP @t1493 @t638)) (tptp.hBOOL (tptp.hAPP @t2281 @t205))) (and @t1928 (tptp.hBOOL (tptp.hAPP @t1474 @t638))))))) % 6.41/6.70 (assume @p1761 (forall @t2557 (=> @t2556 (= @t2602 @t2601)))) % 6.41/6.70 (assume @p1762 (forall (@list @t638 @t205) (=> @t2591 (= (tptp.hBOOL (tptp.hAPP @t1481 @t2600)) (tptp.hBOOL (tptp.hAPP @t1469 @t638)))))) % 6.41/6.70 (assume @p1763 (forall @t2604 (=> @t2601 (= (tptp.hBOOL (tptp.hAPP @t1481 @t2553)) (and (tptp.hBOOL (tptp.hAPP @t2603 @t13)) @t2556))))) % 6.41/6.70 (assume @p1764 (forall @t2607 (=> @t2483 (=> @t1605 (=> @t1622 (tptp.hBOOL (tptp.hAPP @t2606 @t2605))))))) % 6.41/6.70 (assume @p1765 (forall @t2482 (=> @t2483 (=> @t2569 @t2608)))) % 6.41/6.70 (assume @p1766 (forall @t2482 (=> @t2483 (=> @t2610 @t2609)))) % 6.41/6.70 (assume @p1767 (forall @t2557 (=> @t2559 (= @t2602 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t13) @t1480)))))) % 6.41/6.70 (assume @p1768 (forall @t2482 (=> @t2481 (=> @t2560 @t2608)))) % 6.41/6.70 (assume @p1769 (forall @t2607 (=> @t2562 (=> @t1605 (=> @t1622 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t2605) @t2497))))))) % 6.41/6.70 (assume @p1770 (forall @t2482 (=> @t2481 (=> @t2611 @t2609)))) % 6.41/6.70 (assume @p1771 (forall @t2614 (=> @t2613 (=> @t2560 (tptp.hBOOL (tptp.hAPP @t2606 @t2612)))))) % 6.41/6.70 (assume @p1772 (forall @t2614 (=> @t2613 (=> @t2569 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t2612) @t2497)))))) % 6.41/6.70 (assume @p1773 (forall (@list @t561 @t95) (=> (tptp.hBOOL (tptp.hAPP @t1481 @t95)) (=> (tptp.hBOOL (tptp.hAPP @t1947 @t561)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 (tptp.hAPP @t2549 @t561)) @t95)))))) % 6.41/6.70 (assume @p1774 (forall @t2540 (=> @t2539 (= (tptp.hAPP @t2496 @t2538) (tptp.hAPP (tptp.hAPP @t2484 @t2497) @t333))))) % 6.41/6.70 (assume @p1775 (forall @t2548 (=> @t2560 @t2615))) % 6.41/6.70 (assume @p1776 (forall @t2548 (=> @t2560 (and @t2615 @t2567)))) % 6.41/6.70 (assume @p1777 (forall @t2482 (=> @t2483 (=> @t2610 @t2616)))) % 6.41/6.70 (assume @p1778 (forall @t2548 (=> @t2569 @t2617))) % 6.41/6.70 (assume @p1779 (forall @t2548 (=> @t2569 (and @t2617 @t2568)))) % 6.41/6.70 (assume @p1780 (forall @t2482 (=> @t2481 (=> @t2611 @t2616)))) % 6.41/6.70 (assume @p1781 (forall (@list @t721) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t2262 @t721)))) % 6.41/6.70 (assume @p1782 (forall @t2268 (=> @t2466 (= (tptp.hAPP @t2342 @t51) (tptp.hAPP @t2343 @t2463))))) % 6.41/6.70 (assume @p1783 (forall @t2267 (=> @t2466 (=> @t2465 (= @t297 (= @t2463 @t2462)))))) % 6.41/6.70 (assume @p1784 (forall @t2267 (=> @t2466 (=> @t2465 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2336 @t51) @t289)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2337 @t2463) @t2462))))))) % 6.41/6.70 (assume @p1785 (forall @t2268 (=> @t2466 (= (tptp.hBOOL (tptp.hAPP @t2334 @t51)) (tptp.hBOOL (tptp.hAPP @t2335 @t2463)))))) % 6.41/6.70 (assume @p1786 (forall @t2267 (=> @t2466 (=> @t2465 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2331 @t51) @t289)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2332 @t2463) @t2462))))))) % 6.41/6.70 (assume @p1787 (forall @t2482 (and (=> @t2545 (= @t2537 @t1480)) (=> @t2546 (= @t2537 (tptp.hAPP (tptp.hAPP @t1408 @t2495) @t39)))))) % 6.41/6.70 (assume @p1788 (forall @t2482 (and (=> @t2545 (= @t2536 @t1480)) (=> @t2546 (= @t2536 (tptp.hAPP @t2618 @t2495)))))) % 6.41/6.70 (assume @p1789 (forall @t512 (=> @t2493 (=> @t1130 (= (tptp.hAPP (tptp.hAPP @t2488 @t2541) @t39) @t2619))))) % 6.41/6.70 (assume @p1790 (forall @t512 (=> @t2493 (=> @t1130 (= (tptp.hAPP (tptp.hAPP @t2488 @t2542) @t39) @t2619))))) % 6.41/6.70 (assume @p1791 (forall @t503 (=> @t2493 (=> @t1130 (= (tptp.hAPP (tptp.hAPP @t2488 @t726) @t39) @t2620))))) % 6.41/6.70 (assume @p1792 (forall @t503 (=> @t2493 (=> @t1130 (= (tptp.hAPP (tptp.hAPP @t2488 @t686) @t39) @t2620))))) % 6.41/6.70 (assume @p1793 (forall @t2482 (=> @t1600 (=> @t2621 (= @t2495 @t2508))))) % 6.41/6.70 (assume @p1794 (forall @t2622 (= (tptp.hBOOL @t2589) (and (=> @t2599 @t2290) (=> @t2591 (forall @t1336 (=> (exists @t1238 @t2586) @t1334))) (=> @t2595 (forall @t1336 (=> (exists @t1238 @t2593) @t1334))))))) % 6.41/6.70 (assume @p1795 (forall (@list @t2626 @t284 @t2623 @t2624) (=> (= @t2624 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t2630 @t284)) @t2626)) (=> (and (=> @t2628 (and (tptp.hBOOL (tptp.hAPP @t1493 @t2626)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2626) @t2623)))) (=> @t2629 (and (tptp.hBOOL (tptp.hAPP @t2627 @t2626)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t2626) @t1480))))) (=> @t2625 (= (tptp.hAPP (tptp.hAPP @t2484 @t2624) @t2623) @t284)))))) % 6.41/6.70 (assume @p1796 (forall @t2622 (= (tptp.hBOOL (tptp.hAPP @t117 @t2588)) (and (=> @t2599 @t1337) (=> @t2591 (forall @t2587 (=> @t2586 @t2631))) (=> @t2595 (forall @t2587 (=> @t2593 @t2631))))))) % 6.41/6.70 (assume @p1797 (forall @t2633 (=> @t2539 (=> @t1596 (=> @t1616 (tptp.hBOOL (tptp.hAPP @t1493 @t2632))))))) % 6.41/6.70 (assume @p1798 (forall @t2633 (=> @t2539 (=> @t1596 (=> @t1616 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2632) @t2538))))))) % 6.41/6.70 (assume @p1799 (forall @t2634 (=> @t2539 (=> @t1626 (=> @t1627 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t2538) @t2632))))))) % 6.41/6.70 (assume @p1800 (forall @t2634 (=> @t2539 (=> @t1626 (=> @t1627 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t2632) @t1480))))))) % 6.41/6.70 (assume @p1801 (forall (@list @t284 @t2635 @t2623 @t2624) (=> (= @t2624 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t2630 @t2635)) @t284)) (=> (and (=> @t2628 (and @t1629 (tptp.hBOOL (tptp.hAPP @t1532 @t2623)))) (=> @t2629 (and (tptp.hBOOL (tptp.hAPP @t2627 @t284)) (tptp.hBOOL (tptp.hAPP @t1810 @t1480))))) (=> @t2625 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2624 @t2623) @t284)))))) % 6.41/6.70 (assume @p1802 (forall @t1465 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2572 @t2468) @t2473))) % 6.41/6.70 (assume @p1803 (forall @t2268 (=> @t2466 (= (tptp.hAPP @t2262 @t2463) @t51)))) % 6.41/6.70 (assume @p1804 (forall @t2474 (and (=> @t2471 (= @t2636 @t2571)) (=> @t2472 (= @t2636 (tptp.hAPP (tptp.hAPP @t2484 @t2467) @t1463)))))) % 6.41/6.70 (assume @p1805 (forall @t2642 (and (=> @t2639 (= @t2638 @t2641)) (=> @t2640 (= @t2638 (tptp.hAPP @t1409 (tptp.hAPP @t2637 @t2578))))))) % 6.41/6.70 (assume @p1806 (forall @t2642 (and (=> @t2639 (= @t2643 @t2576)) (=> @t2640 (= @t2643 @t2579))))) % 6.41/6.70 (assume @p1807 (forall @t2647 (= @t2646 (exists @t1242 (forall @t7 (=> @t2645 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t3) @t1240)))))))) % 6.41/6.70 (assume @p1808 (forall (@list @t240 @t1054 @t8) (=> @t1378 (and (=> @t2651 (= @t2650 (tptp.hAPP @t2657 (tptp.hAPP (tptp.hAPP @t2655 (tptp.hAPP @t2654 (tptp.hAPP @t754 @t1425))) @t1505)))) (=> @t2652 (= @t2650 @t675)))))) % 6.41/6.70 (assume @p1809 (forall @t2647 (= @t2646 (exists @t1242 (forall @t7 (=> @t2645 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t3) @t1240)))))))) % 6.41/6.70 (assume @p1810 (forall @t2659 (and (=> @t1865 (= @t2658 @t1239)) (=> @t1866 (= @t2658 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1477 @t1864))))))) % 6.41/6.70 (assume @p1811 (forall @t973 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t348 @t2665) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t2664 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2663 @t333))) @t2660)))) % 6.41/6.70 (assume @p1812 (forall @t973 (= (tptp.hAPP (tptp.hAPP @t2661 @t2669) @t333) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t2667 @t2668)) (tptp.hAPP (tptp.hAPP @t2661 (tptp.hAPP @t2667 @t2666)) @t333))))) % 6.41/6.70 (assume @p1813 (forall @t973 (= (tptp.hAPP (tptp.hAPP @t2661 @t2670) @t333) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t2662 @t333)) @t2668)) (tptp.hAPP (tptp.hAPP @t2661 (tptp.hAPP (tptp.hAPP @t553 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t348 @t333)) @t2666)) @t333))))) % 6.41/6.70 (assume @p1814 (forall @t524 (= @t2675 @t2672))) % 6.41/6.70 (assume @p1815 (forall @t618 (= (tptp.hAPP @t919 @t2674) @t2672))) % 6.41/6.70 (assume @p1816 (forall @t524 (= @t2671 (tptp.hAPP @t522 @t2675)))) % 6.41/6.70 (assume @p1817 (forall @t2678 (= (tptp.hAPP (tptp.hAPP @t2677 @t2242) @t336) (tptp.hAPP @t2195 (tptp.hAPP (tptp.hAPP @t2676 @t95) @t336))))) % 6.41/6.70 (assume @p1818 (forall @t524 (= @t2681 @t2679))) % 6.41/6.70 (assume @p1819 (forall @t524 (= @t2679 @t2681))) % 6.41/6.70 (assume @p1820 (forall (@list @t1594 @t284 @t95 @t8) (=> @t1033 (= (tptp.hAPP (tptp.hAPP @t2648 @t1064) @t1594) (tptp.hAPP @t2685 (tptp.hAPP @t2682 @t1594)))))) % 6.41/6.70 (assume @p1821 (forall @t568 (=> @t867 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 (tptp.hAPP @t2673 @t561)) (tptp.hAPP @t2686 @t561)))))) % 6.41/6.70 (assume @p1822 (forall @t524 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t2674) @t521)))) % 6.41/6.70 (assume @p1823 (forall @t524 (= @t2688 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2687 @t336)))) % 6.41/6.70 (assume @p1824 (forall @t973 (= (tptp.hAPP @t2662 @t2665) (tptp.hAPP (tptp.hAPP @t2661 @t2663) @t333)))) % 6.41/6.70 (assume @p1825 (forall @t524 @t2689)) % 6.41/6.70 (assume @p1826 (forall @t524 (tptp.hBOOL (tptp.hAPP @t2690 @t521)))) % 6.41/6.70 (assume @p1827 (forall @t623 (= (tptp.hAPP @t869 @t2671) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t918 @t917)))) % 6.41/6.70 (assume @p1828 (forall @t568 (= (tptp.hAPP (tptp.hAPP @t855 @t2671) @t561) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t921 @t920)))) % 6.41/6.70 (assume @p1829 (forall @t2694 (=> @t1033 (= (tptp.hAPP (tptp.hAPP @t2648 @t2693) @t1594) (tptp.hAPP @t2683 (tptp.hAPP @t2692 @t1594)))))) % 6.41/6.70 (assume @p1830 (forall @t577 (= (tptp.hAPP (tptp.hAPP @t2677 @t2696) @t513) (tptp.hAPP @t2695 (tptp.hAPP (tptp.hAPP @t855 @t284) @t513))))) % 6.41/6.70 (assume @p1831 (forall @t97 (=> @t1033 (= (tptp.hAPP @t2683 @t467) @t95)))) % 6.41/6.70 (assume @p1832 (forall @t2535 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2677 @t2534) @t284) @t521) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2696 @t521)))) % 6.41/6.70 (assume @p1833 (forall @t2678 (=> @t1630 (= (tptp.hAPP (tptp.hAPP @t2676 @t1943) @t336) (tptp.hAPP tptp.c_Int_Onat @t2697))))) % 6.41/6.70 (assume @p1834 (forall (@list @t336 @t513) (=> @t1494 (= (tptp.hAPP tptp.c_Int_Onat @t2698) (tptp.hAPP (tptp.hAPP @t2676 @t1924) @t336))))) % 6.41/6.70 (assume @p1835 (forall @t875 (= (tptp.hAPP @t2673 @t1239) @t521))) % 6.41/6.70 (assume @p1836 (forall @t524 @t2699)) % 6.41/6.70 (assume @p1837 (forall @t623 (and (=> @t2702 (= @t2700 @t1074)) (=> (not @t2702) @t2701)))) % 6.41/6.70 (assume @p1838 (forall @t2705 (=> @t1033 (= @t2704 @t2703)))) % 6.41/6.70 (assume @p1839 (forall @t2705 (=> @t1033 (= @t2703 @t2704)))) % 6.41/6.70 (assume @p1840 (forall @t2705 (=> @t1033 (= (tptp.hAPP @t2685 @t95) @t2704)))) % 6.41/6.70 (assume @p1841 (forall @t875 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t521 @t1239) @t1074))) % 6.41/6.70 (assume @p1842 (forall @t524 (and (=> @t2706 (= @t2688 @t1074)) (=> (not @t2706) (= @t2688 @t2687))))) % 6.41/6.70 (assume @p1843 (forall @t618 (=> @t1147 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t2671) @t336))))) % 6.41/6.70 (assume @p1844 (forall @t97 (=> @t1033 (= (tptp.hAPP @t2683 @t1074) @t675)))) % 6.41/6.70 (assume @p1845 (forall @t2694 (=> @t1033 (= (tptp.hAPP (tptp.hAPP @t754 @t2693) @t2684) (tptp.hAPP @t2683 (tptp.hAPP (tptp.hAPP @t553 @t2691) @t1594)))))) % 6.41/6.70 (assume @p1846 (forall @t2575 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t378 @t60) @t1074) (exists @t2574 (= @t378 (tptp.hAPP (tptp.hAPP @t855 @t60) @t2573)))))) % 6.41/6.70 (assume @p1847 (forall @t2678 (=> @t1630 (tptp.hBOOL (tptp.hAPP @t1493 @t2697))))) % 6.41/6.70 (assume @p1848 (forall @t524 @t2709)) % 6.41/6.70 (assume @p1849 (forall @t524 (and @t2689 @t2709))) % 6.41/6.70 (assume @p1850 (forall @t984 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2710 @t336) @t2671))) % 6.41/6.70 (assume @p1851 (forall @t618 (=> @t865 @t2708))) % 6.41/6.70 (assume @p1852 (forall @t2482 (= (tptp.hAPP @t2195 @t2663) (tptp.hAPP (tptp.hAPP @t2484 @t2712) @t2711)))) % 6.41/6.70 (assume @p1853 (forall @t654 (= (tptp.hAPP (tptp.hAPP @t2484 @t2242) @t2241) (tptp.hAPP @t2195 (tptp.hAPP (tptp.hAPP @t2661 @t95) @t284))))) % 6.41/6.70 (assume @p1854 (forall @t577 (= (tptp.hAPP @t2695 @t576) (tptp.hAPP (tptp.hAPP @t1402 @t2696) (tptp.hAPP @t2695 @t513))))) % 6.41/6.70 (assume @p1855 (forall @t2482 (= (tptp.hAPP @t2195 @t2660) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2712 @t2711)))) % 6.41/6.70 (assume @p1856 (forall @t654 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2242 @t2241) (tptp.hAPP @t2195 @t2713)))) % 6.41/6.70 (assume @p1857 (forall @t2716 (=> @t1339 (=> @t1322 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t2715) @t1321)))))) % 6.41/6.70 (assume @p1858 (forall @t1808 (and (=> @t1806 (= @t2719 (tptp.hAPP @t2720 @t336))) (=> @t1807 (= @t2719 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2717 @t336))))))) % 6.41/6.70 (assume @p1859 (forall @t1465 (and (=> @t1806 (= @t2721 (tptp.hAPP @t2720 @t1922))) (=> @t1807 (= @t2721 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2717 @t1922))))))) % 6.41/6.70 (assume @p1860 (forall @t568 (=> @t1251 (=> @t867 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 (tptp.hAPP @t2722 @t336)) (tptp.hAPP @t2722 @t521))))))) % 6.41/6.70 (assume @p1861 (forall @t618 (=> @t1147 (= (tptp.hAPP (tptp.hAPP @t2661 @t1030) @t336) @t521)))) % 6.41/6.70 (assume @p1862 (forall @t618 (=> @t1147 (= (tptp.hAPP (tptp.hAPP @t2661 @t971) @t336) @t521)))) % 6.41/6.70 (assume @p1863 (forall @t623 (=> @t1252 @t2701))) % 6.41/6.70 (assume @p1864 (forall @t618 (=> @t2724 (=> @t1251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t2674) @t521)))))) % 6.41/6.70 (assume @p1865 (forall @t618 (=> @t1147 (tptp.hBOOL (tptp.hAPP @t2690 @t336))))) % 6.41/6.70 (assume @p1866 (forall @t984 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t2710) @t336) @t2688))) % 6.41/6.70 (assume @p1867 (forall (@list @t1054 @t261 @t8) (=> @t1378 (= (tptp.hAPP @t2726 @t2368) (tptp.hAPP @t2727 @t2725))))) % 6.41/6.70 (assume @p1868 (forall @t1554 (= (tptp.hAPP @t2730 @t2368) (tptp.hAPP @t2731 (tptp.hAPP (tptp.hAPP @t2729 @t1402) @t2728))))) % 6.41/6.70 (assume @p1869 (forall @t618 (=> @t1147 @t2734))) % 6.41/6.70 (assume @p1870 (forall @t618 (=> @t1147 (and @t2699 @t2734)))) % 6.41/6.70 (assume @p1871 (forall @t2622 (= (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP (tptp.hAPP @t2661 @t281) @t205))) (and (=> @t1152 @t1288) (=> @t2737 (forall @t2587 (=> @t2736 (=> @t2735 @t1334)))))))) % 6.41/6.70 (assume @p1872 (forall @t654 (=> @t1630 (= @t2739 @t2738)))) % 6.41/6.70 (assume @p1873 (forall @t654 (=> @t1630 (=> @t1629 (= @t2738 @t2739))))) % 6.41/6.70 (assume @p1874 (forall @t2622 (= (tptp.hBOOL (tptp.hAPP @t117 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t281 @t205))) (and (=> @t1152 @t1337) (=> @t2737 (forall @t2587 (=> @t2736 (=> @t2735 @t2631)))))))) % 6.41/6.70 (assume @p1875 (forall @t2633 (=> @t2741 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t1232) @t39)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t2740) @t2665)))))) % 6.41/6.70 (assume @p1876 (forall @t680 (=> @t912 (= (tptp.hAPP @t2742 @t2227) (tptp.hAPP (tptp.hAPP @t754 @t854) @t348))))) % 6.41/6.70 (assume @p1877 (forall (@list @t521 @t561) (=> (tptp.hBOOL (tptp.hAPP @t2723 @t561)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t918) @t561) @t467)))) % 6.41/6.70 (assume @p1878 (forall @t654 (=> @t1630 (=> @t1629 (= @t2744 @t2743))))) % 6.41/6.70 (assume @p1879 (forall @t654 (=> @t1630 (=> @t1629 (= @t2743 @t2744))))) % 6.41/6.70 (assume @p1880 (forall (@list @t2691 @t521) (and (=> @t1091 (= @t2746 @t467)) (=> @t1092 (= @t2746 (tptp.hAPP @t2692 (tptp.hAPP @t2745 @t523))))))) % 6.41/6.70 (assume @p1881 (forall @t1427 (=> @t1378 (= (tptp.hAPP @t2649 @t2368) (tptp.hAPP @t2657 @t2725))))) % 6.41/6.70 (assume @p1882 (forall @t618 (=> @t1147 (=> @t865 @t2733)))) % 6.41/6.70 (assume @p1883 (forall (@list @t378 @t2748 @t281) (=> @t1141 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 (tptp.hAPP @t1158 @t2748)) @t378)) (tptp.hBOOL (tptp.hAPP @t600 (tptp.hAPP @t1158 (tptp.hAPP tptp.c_Nat_OSuc @t2748))))) (= @t2748 @t2747))))) % 6.41/6.70 (assume @p1884 (forall (@list @t281 @t378 @t117) (= (tptp.hBOOL (tptp.hAPP @t117 @t2747)) (or (and @t1142 @t1288) (exists @t2574 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 (tptp.hAPP @t1158 @t2573)) @t378)) (tptp.hBOOL (tptp.hAPP @t600 (tptp.hAPP @t1158 (tptp.hAPP tptp.c_Nat_OSuc @t2573)))) (tptp.hBOOL (tptp.hAPP @t117 @t2573)))))))) % 6.41/6.70 (assume @p1885 (forall @t2754 (= (tptp.hAPP @t2753 @t1355) (tptp.hAPP @t2750 @t1355)))) % 6.41/6.70 (assume @p1886 (forall @t524 (= (tptp.hAPP @t2753 @t336) (tptp.hAPP @t2750 @t336)))) % 6.41/6.70 (assume @p1887 (forall @t524 (= (tptp.hAPP @t2673 @t2288) (tptp.hAPP @t2673 @t2286)))) % 6.41/6.70 (assume @p1888 (forall @t875 (= (tptp.hAPP (tptp.hAPP @t2661 @t2751) @t2373) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t2673 @t2373))))) % 6.41/6.70 (assume @p1889 (forall @t875 (= (tptp.hAPP (tptp.hAPP @t2661 (tptp.hAPP @t572 @t521)) @t2373) @t521))) % 6.41/6.70 (assume @p1890 (forall @t2754 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2752 @t1355) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2749 @t1355)))) % 6.41/6.70 (assume @p1891 (forall @t524 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2752 @t336) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2749 @t336)))) % 6.41/6.70 (assume @p1892 (forall @t524 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t521 @t2288) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t521 @t2286)))) % 6.41/6.70 (assume @p1893 (forall @t14 (=> @t812 (= (= @t2755 @t1082) @t1122)))) % 6.41/6.70 (assume @p1894 (forall @t150 (=> @t1903 (= (tptp.hAPP @t2756 @t2373) @t1082)))) % 6.41/6.70 (assume @p1895 (forall @t680 (=> @t912 (= @t2757 @t854)))) % 6.41/6.70 (assume @p1896 (forall @t97 (=> @t1033 (= @t853 @t2758)))) % 6.41/6.70 (assume @p1897 (forall @t875 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2751 @t2373) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t521 @t2373)))) % 6.41/6.70 (assume @p1898 (forall @t150 (=> @t1903 (= (tptp.hAPP @t2759 @t2373) @t675)))) % 6.41/6.70 (assume @p1899 (forall @t680 (=> @t1339 (= (tptp.hAPP @t2760 @t2373) @t2757)))) % 6.41/6.70 (assume @p1900 (forall @t2765 (=> @t912 (= @t2764 @t2762)))) % 6.41/6.70 (assume @p1901 (forall @t680 (=> @t725 (tptp.hBOOL (tptp.hAPP @t1083 @t2757))))) % 6.41/6.70 (assume @p1902 (forall @t491 (=> @t679 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2758) @t2766)) (=> @t1276 @t817))))) % 6.41/6.70 (assume @p1903 (forall @t491 (=> @t679 (=> (= @t2758 @t2766) (=> @t1277 (=> @t1276 @t489)))))) % 6.41/6.70 (assume @p1904 (forall @t680 (=> @t725 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2757) @t1082)))))) % 6.41/6.70 (assume @p1905 (forall @t14 (=> @t725 (= (tptp.hBOOL (tptp.hAPP @t1204 @t2755)) @t2767)))) % 6.41/6.70 (assume @p1906 (forall @t485 (=> @t725 (= (= @t2769 @t1082) @t1172)))) % 6.41/6.70 (assume @p1907 (forall (@list @t1389 @t74) (=> (and (tptp.class_Groups_Omonoid__mult @t74) @t1434) (= (tptp.hAPP (tptp.hAPP @t2771 @t2770) @t2373) (tptp.hAPP (tptp.hAPP @t1430 @t2770) @t2770))))) % 6.41/6.70 (assume @p1908 (forall @t14 (=> @t812 (= (= @t2755 @t675) (or (= @t13 @t675) (= @t13 @t809)))))) % 6.41/6.70 (assume @p1909 (forall @t1851 (and (=> @t1806 (= @t2772 @t1074)) (=> @t1807 (= @t2772 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2570 @t1864))))))) % 6.41/6.70 (assume @p1910 (forall @t2775 (=> @t1033 (= (tptp.hAPP @t2683 @t2763) @t2774)))) % 6.41/6.70 (assume @p1911 (forall @t2765 (=> @t1339 (= (tptp.hAPP @t2760 @t2763) @t2764)))) % 6.41/6.70 (assume @p1912 (forall @t1851 (and (=> @t1806 (= @t2776 @t1074)) (=> @t1807 (and (=> @t1865 (= @t2776 @t1355)) (=> @t1866 (= @t2776 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1464 @t1864))))))))) % 6.41/6.70 (assume @p1913 (forall @t550 (=> @t2724 (tptp.hBOOL (tptp.hAPP @t1100 (tptp.hAPP @t2686 @t2373)))))) % 6.41/6.70 (assume @p1914 (forall @t491 (=> @t679 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2758) @t2766)) (=> @t1276 @t490))))) % 6.41/6.70 (assume @p1915 (forall @t2659 (= (tptp.hAPP (tptp.hAPP @t2661 @t1239) @t1846) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2777 @t1864))))) % 6.41/6.70 (assume @p1916 (forall @t485 (=> @t725 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2769) @t1082)) @t1172)))) % 6.41/6.70 (assume @p1917 (forall @t491 (=> @t725 (tptp.hBOOL (tptp.hAPP @t1083 @t2778))))) % 6.41/6.70 (assume @p1918 (forall @t485 (=> @t725 (= (tptp.hBOOL (tptp.hAPP @t1204 @t2769)) @t1274)))) % 6.41/6.70 (assume @p1919 (forall @t491 (=> @t725 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2778) @t1082)))))) % 6.41/6.70 (assume @p1920 (forall @t491 (=> @t1378 (= (tptp.hAPP (tptp.hAPP @t2648 (tptp.hAPP @t1027 @t284)) @t2373) (tptp.hAPP (tptp.hAPP @t676 @t2778) @t2779))))) % 6.41/6.70 (assume @p1921 (forall @t2765 (=> @t725 (tptp.hBOOL (tptp.hAPP @t1083 @t2764))))) % 6.41/6.70 (assume @p1922 (forall @t2765 (=> @t912 (= @t2781 (tptp.hAPP @t795 @t2762))))) % 6.41/6.70 (assume @p1923 (forall @t2775 (=> @t1033 (= (tptp.hAPP @t2683 @t2780) (tptp.hAPP @t852 @t2774))))) % 6.41/6.70 (assume @p1924 (forall @t2783 (= (tptp.hBOOL (tptp.hAPP @t1100 @t2782)) (= @t2782 @t467)))) % 6.41/6.70 (assume @p1925 (forall @t2251 (=> @t1339 (= (tptp.hAPP @t2784 @t2763) @t675)))) % 6.41/6.70 (assume @p1926 (forall @t2565 (=> @t1251 (=> @t1486 (= (tptp.hAPP (tptp.hAPP @t2484 (tptp.hAPP @t2785 @t521)) @t561) (tptp.hAPP @t2785 (tptp.hAPP @t522 @t1239))))))) % 6.41/6.70 (assume @p1927 (forall @t2787 (=> @t1378 (and (=> @t2651 (= @t2786 (tptp.hAPP @t2727 (tptp.hAPP (tptp.hAPP @t2655 (tptp.hAPP @t2654 @t1004)) @t1505)))) (=> @t2652 (= @t2786 @t675)))))) % 6.41/6.70 (assume @p1928 (forall @t1531 (and (=> @t2651 (= @t2788 (tptp.hAPP @t2731 (tptp.hAPP (tptp.hAPP @t2729 (tptp.hAPP (tptp.hAPP @t2790 @t1402) (tptp.hAPP @t1402 @t261))) @t2728)))) (=> @t2652 (= @t2788 @t1477))))) % 6.41/6.70 (assume @p1929 (forall @t550 (=> @t1147 (tptp.hBOOL (tptp.hAPP @t1100 (tptp.hAPP (tptp.hAPP @t2661 @t647) @t2373)))))) % 6.41/6.70 (assume @p1930 (forall @t491 (=> @t1378 (= (tptp.hAPP (tptp.hAPP @t2648 @t1029) @t2373) (tptp.hAPP (tptp.hAPP @t392 @t2778) @t2779))))) % 6.41/6.70 (assume @p1931 (forall @t2765 (=> @t725 (=> (tptp.hBOOL (tptp.hAPP @t1083 @t2781)) @t1170)))) % 6.41/6.70 (assume @p1932 (forall @t2765 (=> @t725 (=> @t1201 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2781) @t1082)))))) % 6.41/6.70 (assume @p1933 (forall @t2251 (=> @t1339 (= (tptp.hAPP @t2784 @t2780) @t809)))) % 6.41/6.70 (assume @p1934 (forall @t2795 (=> @t679 (=> @t501 (=> @t1170 (=> @t1147 @t2794)))))) % 6.41/6.70 (assume @p1935 (forall @t2765 (=> @t679 (=> @t2796 (=> @t1147 (tptp.hBOOL (tptp.hAPP @t967 @t2761))))))) % 6.41/6.70 (assume @p1936 (forall @t2801 (=> @t679 (=> @t2800 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2799) @t2798)) @t2240))))) % 6.41/6.70 (assume @p1937 (forall @t2803 (=> @t679 (=> @t2796 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2802) @t2761)) @t867))))) % 6.41/6.70 (assume @p1938 (forall @t2807 (=> @t679 (=> @t2806 (=> @t1170 (=> (tptp.hBOOL (tptp.hAPP @t787 @t675)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2805) @t2761)))))))) % 6.41/6.70 (assume @p1939 (forall @t2765 (=> @t812 (=> @t1131 (not (= @t2761 @t1082)))))) % 6.41/6.70 (assume @p1940 (forall (@list @t378 @t73) (= (= (tptp.hAPP @t2808 @t378) @t1239) (or @t1148 (= @t73 @t1239))))) % 6.41/6.70 (assume @p1941 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t2676 @t1239) @t336) @t1239))) % 6.41/6.70 (assume @p1942 (forall @t2809 (= (tptp.hBOOL (tptp.hAPP @t1100 (tptp.hAPP @t2808 @t281))) (or (tptp.hBOOL (tptp.hAPP @t1100 @t73)) @t1142)))) % 6.41/6.70 (assume @p1943 (forall @t2812 (=> (tptp.hBOOL (tptp.hAPP @t1100 @t592)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 (tptp.hAPP @t2810 @t521)) @t2811)) @t548)))) % 6.41/6.70 (assume @p1944 (forall @t2765 (=> @t912 (= @t2815 @t2813)))) % 6.41/6.70 (assume @p1945 (forall @t2795 (=> @t913 (= (tptp.hAPP (tptp.hAPP @t2648 @t796) @t336) (tptp.hAPP @t2814 @t2792))))) % 6.41/6.70 (assume @p1946 (forall @t2251 (=> @t912 (= (tptp.hAPP @t2759 @t336) @t675)))) % 6.41/6.70 (assume @p1947 (forall @t968 (=> @t1903 (= (tptp.hAPP @t2177 @t2680) (tptp.hAPP (tptp.hAPP @t2648 @t2249) @t336))))) % 6.41/6.70 (assume @p1948 (forall @t2803 (=> @t912 (= (tptp.hAPP @t2742 @t971) (tptp.hAPP (tptp.hAPP @t2648 @t2802) @t336))))) % 6.41/6.70 (assume @p1949 (forall @t680 (=> @t912 (= (tptp.hAPP @t2742 @t467) @t348)))) % 6.41/6.70 (assume @p1950 (forall @t2765 (=> @t679 (=> @t1170 (tptp.hBOOL (tptp.hAPP @t1083 @t2761)))))) % 6.41/6.70 (assume @p1951 (forall @t2795 (=> @t679 (=> @t788 (=> @t1170 (tptp.hBOOL (tptp.hAPP @t2816 @t2792))))))) % 6.41/6.70 (assume @p1952 (forall @t2765 (=> @t679 (=> @t1205 (tptp.hBOOL (tptp.hAPP @t1204 @t2761)))))) % 6.41/6.70 (assume @p1953 (forall @t2716 (=> (and @t2817 @t1135 @t1129 @t1138) (= (= @t2715 @t1082) (and @t1122 @t1143))))) % 6.41/6.70 (assume @p1954 (forall @t2765 (=> @t679 (=> @t2818 (tptp.hBOOL (tptp.hAPP @t1234 @t2761)))))) % 6.41/6.70 (assume @p1955 (forall @t2251 (=> @t2820 (= (tptp.hAPP @t2756 @t337) @t1082)))) % 6.41/6.70 (assume @p1956 (forall (@list @t281 @t378 @t13 @t8) (=> @t679 (=> (tptp.hBOOL (tptp.hAPP @t967 @t13)) (= (= (tptp.hAPP @t2714 @t378) @t2715) @t579))))) % 6.41/6.70 (assume @p1957 (forall @t2765 (=> @t912 (= @t2821 @t2815)))) % 6.41/6.70 (assume @p1958 (forall @t2765 (=> @t2817 (= @t2821 @t2813)))) % 6.41/6.70 (assume @p1959 (forall @t941 (=> (tptp.hBOOL (tptp.hAPP @t1293 @t592)) (tptp.hBOOL (tptp.hAPP @t1293 @t2811))))) % 6.41/6.70 (assume @p1960 (forall @t680 (=> @t2817 (= (tptp.hAPP @t2742 @t1074) @t675)))) % 6.41/6.70 (assume @p1961 (forall @t2803 (=> @t912 (= (tptp.hAPP @t2742 @t573) (tptp.hAPP (tptp.hAPP @t754 @t2802) @t2761))))) % 6.41/6.70 (assume @p1962 (forall @t2822 (=> @t679 (=> @t2794 (=> @t1175 @t501))))) % 6.41/6.70 (assume @p1963 (forall @t2822 (=> @t679 (=> (= @t2821 @t2823) (=> @t1170 (=> @t1175 @t506)))))) % 6.41/6.70 (assume @p1964 (forall @t2822 (=> @t679 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2821) @t2823)) (=> @t1175 @t788))))) % 6.41/6.70 (assume @p1965 (forall @t2765 (=> @t679 (=> @t2796 (tptp.hBOOL (tptp.hAPP @t967 @t2813)))))) % 6.41/6.70 (assume @p1966 (forall @t2765 (=> @t679 (=> @t2796 (tptp.hBOOL (tptp.hAPP @t2793 @t2813)))))) % 6.41/6.70 (assume @p1967 (forall @t2251 (=> @t2820 (and (=> @t1145 (= @t2824 @t675)) (=> @t1146 (= @t2824 @t1082)))))) % 6.41/6.70 (assume @p1968 (forall @t2765 (=> @t679 (=> @t2796 (tptp.hBOOL (tptp.hAPP @t967 @t2821)))))) % 6.41/6.70 (assume @p1969 (forall @t2801 (=> @t679 (=> @t2800 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2799) @t2798)) @t2234))))) % 6.41/6.70 (assume @p1970 (forall @t2803 (=> @t679 (=> @t2796 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2802) @t2761)) @t548))))) % 6.41/6.70 (assume @p1971 (forall @t2807 (=> @t679 (=> @t2825 (=> @t2796 (tptp.hBOOL (tptp.hAPP @t2793 @t2805))))))) % 6.41/6.70 (assume @p1972 (forall @t2807 (=> @t679 (=> @t2806 (=> @t2818 (tptp.hBOOL (tptp.hAPP @t2816 @t2805))))))) % 6.41/6.70 (assume @p1973 (forall @t2765 (=> @t1339 (= @t2826 (tptp.hAPP (tptp.hAPP @t754 (tptp.hAPP @t2784 @t336)) @t2761))))) % 6.41/6.70 (assume @p1974 (forall @t2765 (=> @t679 (=> @t1205 (=> @t2827 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2813) @t2761))))))) % 6.41/6.70 (assume @p1975 (forall @t2822 (=> @t679 (=> (= @t2761 @t2792) (=> @t1170 (=> @t1175 (=> @t1147 @t506))))))) % 6.41/6.70 (assume @p1976 (forall @t2765 (=> @t679 (=> @t1205 (=> @t2827 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2821) @t675))))))) % 6.41/6.70 (assume @p1977 (forall @t2807 (=> @t679 (=> @t2825 (=> @t1205 (=> @t2827 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2805) @t2761)))))))) % 6.41/6.70 (assume @p1978 (forall @t1512 (and (=> @t2835 (= @t2832 @t1480)) (=> (not @t2835) (and (=> @t2834 (= @t2832 @t2831)) (=> (not @t2834) (= @t2832 (tptp.hAPP (tptp.hAPP @t1394 @t2831) @t1477)))))))) % 6.41/6.70 (assume @p1979 (forall @t150 (=> @t2817 (= @t2648 (tptp.c_Power_Opower_Opower @t8 @t675 @t754))))) % 6.41/6.70 (assume @p1980 (forall @t2251 (=> @t1378 (= (tptp.hAPP @t2837 @t2780) @t2836)))) % 6.41/6.70 (assume @p1981 (forall @t2251 (=> @t1378 (= (tptp.hAPP @t2837 @t2763) @t675)))) % 6.41/6.70 (assume @p1982 (forall @t2341 (=> @t2838 (=> @t2466 (= @t2597 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2339 @t1911) @t2463))))))) % 6.41/6.70 (assume @p1983 (tptp.hBOOL (tptp.hAPP @t2839 tptp.c_Int_OMin))) % 6.41/6.70 (assume @p1984 (not (tptp.hBOOL (tptp.hAPP @t2840 tptp.c_Int_OMin)))) % 6.41/6.70 (assume @p1985 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 6.41/6.70 (assume @p1986 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 6.41/6.70 (assume @p1987 (forall @t2247 (= (= @t2204 tptp.c_Int_OMin) (= @t205 tptp.c_Int_OMin)))) % 6.41/6.70 (assume @p1988 (forall @t2353 (= (= tptp.c_Int_OMin @t2203) (= tptp.c_Int_OMin @t1468)))) % 6.41/6.70 (assume @p1989 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 6.41/6.70 (assume @p1990 (forall @t1512 (not (= @t2354 tptp.c_Int_OMin)))) % 6.41/6.70 (assume @p1991 (forall @t2225 (not (= tptp.c_Int_OMin @t2356)))) % 6.41/6.70 (assume @p1992 (= (tptp.hAPP (tptp.hAPP @t2842 @t2833) @t2841) @t2833)) % 6.41/6.70 (assume @p1993 (tptp.c_Nat__Transfer_Ois__nat @t1480)) % 6.41/6.70 (assume @p1994 (forall @t654 (=> @t2844 (=> @t2843 (tptp.c_Nat__Transfer_Ois__nat @t1631))))) % 6.41/6.70 (assume @p1995 (forall @t1495 (tptp.c_Nat__Transfer_Ois__nat @t2231))) % 6.41/6.70 (assume @p1996 (tptp.c_Nat__Transfer_Ois__nat @t1477)) % 6.41/6.70 (assume @p1997 (forall @t654 (=> @t2844 (=> @t2843 (tptp.c_Nat__Transfer_Ois__nat @t1628))))) % 6.41/6.70 (assume @p1998 (forall @t654 (=> @t2844 (=> @t2843 (tptp.c_Nat__Transfer_Ois__nat @t2566))))) % 6.41/6.70 (assume @p1999 (forall @t654 (=> @t2844 (=> @t2843 (tptp.c_Nat__Transfer_Ois__nat @t2550))))) % 6.41/6.70 (assume @p2000 (forall @t2678 (=> @t2844 (tptp.c_Nat__Transfer_Ois__nat @t2697)))) % 6.41/6.70 (assume @p2001 (tptp.hBOOL (tptp.hAPP @t2840 @t1480))) % 6.41/6.70 (assume @p2002 (not (tptp.hBOOL (tptp.hAPP @t1821 tptp.c_Int_OMin)))) % 6.41/6.70 (assume @p2003 (tptp.hBOOL (tptp.hAPP @t2839 tptp.c_Int_OPls))) % 6.41/6.70 (assume @p2004 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2219 tptp.c_Int_OMin)) @t2845))) % 6.41/6.70 (assume @p2005 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2839 @t2204)) (tptp.hBOOL (tptp.hAPP @t2839 @t205))))) % 6.41/6.70 (assume @p2006 (not (tptp.hBOOL (tptp.hAPP @t1822 tptp.c_Int_OMin)))) % 6.41/6.70 (assume @p2007 (tptp.hBOOL (tptp.hAPP @t2840 tptp.c_Int_OPls))) % 6.41/6.70 (assume @p2008 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2222 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t1474 tptp.c_Int_OMin))))) % 6.41/6.70 (assume @p2009 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2840 @t2204)) @t2846))) % 6.41/6.70 (assume @p2010 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2347 tptp.c_Int_OMin)) @t2845))) % 6.41/6.70 (assume @p2011 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2840 @t2346)) @t2846))) % 6.41/6.70 (assume @p2012 (not (= @t1820 @t2847))) % 6.41/6.70 (assume @p2013 (= tptp.c_Int_OMin @t1478)) % 6.41/6.70 (assume @p2014 (forall @t1512 (= (tptp.hAPP (tptp.hAPP @t1402 tptp.c_Int_OMin) @t561) @t2261))) % 6.41/6.70 (assume @p2015 (forall @t654 (=> @t2844 (=> @t2843 (tptp.c_Nat__Transfer_Ois__nat @t1809))))) % 6.41/6.70 (assume @p2016 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2847))) % 6.41/6.70 (assume @p2017 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 6.41/6.70 (assume @p2018 (forall @t1512 (= (tptp.hAPP (tptp.hAPP @t1394 tptp.c_Int_OMin) @t561) @t1511))) % 6.41/6.70 (assume @p2019 (forall @t1512 (= (tptp.hAPP @t1525 tptp.c_Int_OMin) @t1511))) % 6.41/6.70 (assume @p2020 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 6.41/6.70 (assume @p2021 (forall @t150 (=> @t1378 (not (tptp.c_Int_Oiszero @t8 @t2836))))) % 6.41/6.70 (assume @p2022 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 6.41/6.70 (assume @p2023 (forall @t1512 (= (tptp.hAPP @t1510 tptp.c_Int_OMin) @t1458))) % 6.41/6.70 (assume @p2024 (forall @t1828 (= @t2838 @t1827))) % 6.41/6.70 (assume @p2025 (forall @t2407 (=> @t1378 (= (tptp.hAPP (tptp.hAPP @t754 @t2836) @t513) @t2848)))) % 6.41/6.70 (assume @p2026 (forall @t2407 (=> @t1378 (= (tptp.hAPP @t2406 @t2836) @t2848)))) % 6.41/6.70 (assume @p2027 (forall @t150 (=> @t1378 (= @t2836 @t809)))) % 6.41/6.70 (assume @p2028 (forall @t150 (=> @t1378 (= @t809 @t2836)))) % 6.41/6.70 (assume @p2029 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2351 tptp.c_Int_OMin)) @t2845))) % 6.41/6.70 (assume @p2030 (forall @t2247 (= (tptp.hBOOL (tptp.hAPP @t2839 @t2346)) @t2846))) % 6.41/6.70 (assume @p2031 (forall @t349 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t348 @t2847) @t1480))) % 6.41/6.70 (assume @p2032 (forall @t2225 (= (tptp.hAPP @t2366 @t2224) @t2851))) % 6.41/6.70 (assume @p2033 (= (tptp.hAPP @t1409 tptp.c_Int_OMin) @t2174)) % 6.41/6.70 (assume @p2034 (forall @t524 (=> (= @t2852 @t1477) (or (= @t521 @t1477) (= @t521 @t2847))))) % 6.41/6.70 (assume @p2035 (forall @t634 (= @t1490 (or @t1489 (and (= @t378 @t2847) (= @t281 @t2847)))))) % 6.41/6.70 (assume @p2036 (forall @t2225 (= (tptp.hAPP @t2849 @t2356) @t2851))) % 6.41/6.70 (assume @p2037 (forall @t2225 (= (tptp.hAPP @t2849 @t2224) (tptp.c_Int_OBit0 @t2850)))) % 6.41/6.70 (assume @p2038 (forall (@list @t13 @t2854 @t2853 @t8) (= (tptp.hAPP @t2855 @t1074) @t2853))) % 6.41/6.70 (assume @p2039 (forall (@list @t281 @t13 @t2854 @t2853 @t8) (= (tptp.hAPP @t2855 @t282) (tptp.hAPP (tptp.hAPP @t2854 @t13) (tptp.hAPP @t2855 @t281))))) % 6.41/6.70 (assume @p2040 (forall @t349 (= (tptp.hAPP @t2496 @t2847) @t2527))) % 6.41/6.70 (assume @p2041 (forall @t2598 (=> @t2466 (=> @t2597 @t2838)))) % 6.41/6.70 (assume @p2042 (= @t2833 (tptp.hAPP @t2828 tptp.c_Int_OPls))) % 6.41/6.70 (assume @p2043 (forall @t2525 (=> @t2560 (= (tptp.hAPP (tptp.hAPP @t2484 @t2847) @t39) @t2847)))) % 6.41/6.70 (assume @p2044 (tptp.c_Nat__Transfer_Ois__nat @t2228)) % 6.41/6.70 (assume @p2045 (tptp.c_Nat__Transfer_Ois__nat @t2307)) % 6.41/6.70 (assume @p2046 (forall @t2482 (=> @t1600 (=> @t2621 (= @t2497 @t2847))))) % 6.41/6.70 (assume @p2047 (forall @t2525 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2847 @t39) @t2856)))) % 6.41/6.70 (assume @p2048 (= @t2841 (tptp.hAPP @t2828 @t2174))) % 6.41/6.70 (assume @p2049 (forall @t2859 (= (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall tptp.tc_Int_Oint) @t2) @t60) (tptp.c_Smallcheck_Osmall_H @t2 @t2857 @t2858)))) % 6.41/6.70 (assume @p2050 (forall @t2859 (= (tptp.c_Smallcheck_Ofull__small__class_Ofull__small tptp.tc_Int_Oint @t2 @t60) (tptp.c_Smallcheck_Ofull__small_H @t2 @t2857 @t2858)))) % 6.41/6.70 (assume @p2051 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2833) @t1074)) % 6.41/6.70 (assume @p2052 (forall @t2863 (= (tptp.hAPP @t2342 @t2862) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2861 @t2860))))) % 6.41/6.70 (assume @p2053 (forall @t2869 (= (tptp.hBOOL (tptp.hAPP @t2301 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t8 @t2864 @t2867 @t1468 @t1010))) (and @t2868 @t2866)))) % 6.41/6.70 (assume @p2054 (forall @t2863 (tptp.hBOOL (tptp.hAPP @t2334 @t2862)))) % 6.41/6.70 (assume @p2055 (forall @t2872 (=> @t497 (=> @t2871 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t205 @t1468) @t56))))) % 6.41/6.70 (assume @p2056 (forall @t485 (=> @t694 (= (tptp.hAPP @t2148 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t73 @t100)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t849 @t850))))) % 6.41/6.70 (assume @p2057 (forall @t941 (and (=> @t2875 (= @t2874 @t336)) (=> (not @t2875) (= @t2874 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t2873 @t2841) @t337)))))) % 6.41/6.70 (assume @p2058 (forall @t2878 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2877) (tptp.hAPP (tptp.hAPP @t553 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2876)) @t1239)))) % 6.41/6.70 (assume @p2059 (forall @t2879 (= (tptp.hBOOL (tptp.hAPP @t2301 (tptp.c_SetInterval_Oord_OatMost @t8 @t2864 @t205))) (tptp.hBOOL (tptp.hAPP @t2865 @t205))))) % 6.41/6.70 (assume @p2060 (forall @t2879 (= (tptp.hBOOL (tptp.hAPP @t2301 (tptp.c_SetInterval_Oord_OatLeast @t8 @t2864 @t205))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2864 @t205) @t638))))) % 6.41/6.70 (assume @p2061 (forall @t2881 (= (tptp.hBOOL (tptp.hAPP @t2301 (tptp.c_SetInterval_Oord_OlessThan @t8 @t2867 @t205))) (tptp.hBOOL (tptp.hAPP @t2880 @t205))))) % 6.41/6.70 (assume @p2062 (forall @t2863 (tptp.hBOOL (tptp.hAPP @t2335 @t2882)))) % 6.41/6.70 (assume @p2063 (forall (@list @t2883 @t2884) (= (= @t2885 (tptp.c_Code__Numeral_OSuc__code__numeral @t2883)) (= @t2884 @t2883)))) % 6.41/6.70 (assume @p2064 (forall (@list @t2886) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t2886) @t2833)))) % 6.41/6.70 (assume @p2065 (forall (@list @t2887) (not (= @t2833 (tptp.c_Code__Numeral_OSuc__code__numeral @t2887))))) % 6.41/6.70 (assume @p2066 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t2842 (tptp.c_Code__Numeral_OSuc__code__numeral @t336)) @t2841) @t336))) % 6.41/6.70 (assume @p2067 (forall @t2863 (= (tptp.hAPP @t2343 @t2882) (tptp.hAPP @t2889 @t2888)))) % 6.41/6.70 (assume @p2068 (forall @t2878 (= (tptp.hAPP @t2890 @t2877) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t2890 @t2876)) @t1239)))) % 6.41/6.70 (assume @p2069 (forall @t2869 (= (tptp.hBOOL (tptp.hAPP @t2301 (tptp.c_SetInterval_Oord_OatLeastLessThan @t8 @t2864 @t2867 @t1468 @t1010))) (and @t2892 @t2891)))) % 6.41/6.70 (assume @p2070 (forall (@list @t1010 @t1468 @t2867 @t638 @t8) (= (tptp.hBOOL (tptp.hAPP @t2301 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t8 @t2867 @t1468 @t1010))) (and @t2868 @t2891)))) % 6.41/6.70 (assume @p2071 (forall (@list @t1010 @t1468 @t2864 @t638 @t8) (= (tptp.hBOOL (tptp.hAPP @t2301 (tptp.c_SetInterval_Oord_OatLeastAtMost @t8 @t2864 @t1468 @t1010))) (and @t2892 @t2866)))) % 6.41/6.70 (assume @p2072 (forall @t2881 (= (tptp.hBOOL (tptp.hAPP @t2301 (tptp.c_SetInterval_Oord_OgreaterThan @t8 @t2867 @t205))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2867 @t205) @t638))))) % 6.41/6.70 (assume @p2073 (= (tptp.hAPP @t2890 @t2833) @t1074)) % 6.41/6.70 (assume @p2074 (forall @t2899 (=> @t484 (=> @t2898 (= (tptp.hAPP @t2896 @t2894) @t2893))))) % 6.41/6.70 (assume @p2075 (forall @t1459 (=> @t1339 (and (=> @t2902 (= @t2901 (tptp.hAPP @t784 (tptp.hAPP @t2177 (tptp.hAPP tptp.c_Int_Onat @t2261))))) (=> (not @t2902) (= @t2901 (tptp.hAPP @t2177 (tptp.hAPP tptp.c_Int_Onat @t561)))))))) % 6.41/6.70 (assume @p2076 (forall (@list @t18 @t58 @t13 @t1791 @t8 @t74) (=> @t2916 (=> @t2151 (and (=> @t2913 (= @t2912 (tptp.hAPP (tptp.hAPP @t1430 @t2915) (tptp.hAPP @t2904 (tptp.hAPP (tptp.hAPP @t468 @t2903) @t467))))) (=> @t2914 (= @t2912 (tptp.hAPP @t2904 @t2903)))))))) % 6.41/6.70 (assume @p2077 (forall (@list @t2917 @t2748 @t58) (= (tptp.hAPP @t2927 @t2926) (tptp.hAPP (tptp.hAPP @t2925 (tptp.hAPP (tptp.hAPP @t1408 @t2917) @t58)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2920 @t2920) (tptp.hAPP (tptp.hAPP @t2924 (tptp.hAPP @t2923 @t1493)) (tptp.hAPP @t2919 (tptp.hAPP (tptp.hAPP @t1394 @t2918) @t1477)))) (tptp.hAPP (tptp.hAPP @t2919 @t2918) @t2917)))))) % 6.41/6.70 (assume @p2078 (forall @t1509 (=> (tptp.hBOOL (tptp.hAPP @t1533 @t1480)) (exists @t430 (= @t95 (tptp.hAPP @t1409 @t2275)))))) % 6.41/6.70 (assume @p2079 (forall @t2863 (tptp.hBOOL (tptp.hAPP @t2335 @t2928)))) % 6.41/6.70 (assume @p2080 (forall @t2863 (tptp.hBOOL (tptp.hAPP @t2334 @t2929)))) % 6.41/6.70 (assume @p2081 (forall @t2946 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2945 @t2943) @t2942) @t73) @t100)) (tptp.hBOOL (tptp.hAPP @t2937 (tptp.hAPP (tptp.hAPP @t2932 @t201) @t1791)))))) % 6.41/6.70 (assume @p2082 (forall @t2947 (= (= @t2943 @t2942) @t1801))) % 6.41/6.70 (assume @p2083 (forall @t2947 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2949 @t2943) @t2942)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2948 @t201) @t1791))))) % 6.41/6.70 (assume @p2084 (forall @t2952 (= @t2951 (tptp.hBOOL (tptp.hAPP @t2937 @t2950))))) % 6.41/6.70 (assume @p2085 (forall @t2959 (= @t2958 (tptp.hAPP tptp.c_Int_Onat @t2955)))) % 6.41/6.70 (assume @p2086 (forall @t2787 (=> @t1344 (= (= @t2961 @t2960) @t1527)))) % 6.41/6.70 (assume @p2087 (forall @t1108 (=> (and @t913 @t1339) (= (tptp.hAPP @t2900 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t74 tptp.tc_Int_Oint) @t2) @t51)) (tptp.hAPP (tptp.hAPP @t2963 @t2962) @t51))))) % 6.41/6.70 (assume @p2088 (forall @t1108 (=> (and @t913 @t1903) (= (tptp.hAPP @t2177 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t74 tptp.tc_Nat_Onat) @t2) @t51)) (tptp.hAPP (tptp.hAPP @t2963 @t2964) @t51))))) % 6.41/6.70 (assume @p2089 (forall @t2959 (= (tptp.hAPP @t2195 @t2958) @t2955))) % 6.41/6.70 (assume @p2090 (forall @t1459 (=> @t1378 (= @t1457 @t2901)))) % 6.41/6.70 (assume @p2091 (forall @t2971 (=> @t913 (= (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2970 @t2969) @t1)) @t51) (tptp.hAPP (tptp.hAPP @t754 @t2967) (tptp.hAPP @t2965 @t51)))))) % 6.41/6.70 (assume @p2092 (forall @t1467 (= @t1463 (tptp.hAPP @t2972 @t1389)))) % 6.41/6.70 (assume @p2093 (forall @t550 (= (tptp.hAPP @t2972 @t2197) @t2197))) % 6.41/6.70 (assume @p2094 (forall @t2974 (=> @t913 (= (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t2973 @t675)) @t51) @t675)))) % 6.41/6.70 (assume @p2095 (forall @t2959 (=> @t2977 (= (tptp.hAPP (tptp.hAPP @t2976 @t2) @t51) (tptp.hAPP (tptp.hAPP @t2975 @t1978) @t2264))))) % 6.41/6.70 (assume @p2096 (forall @t2172 (=> (and @t2984 (tptp.class_Rings_Ono__zero__divisors @t74)) (=> @t184 (= @t2983 @t2980))))) % 6.41/6.70 (assume @p2097 (forall @t2172 (=> @t2984 (=> @t184 (=> @t2980 @t2983))))) % 6.41/6.70 (assume @p2098 (forall @t1588 (=> @t913 (= (tptp.hAPP @t2966 @t386) @t675)))) % 6.41/6.70 (assume @p2099 (forall @t2985 (=> @t913 (= (tptp.hAPP @t2965 @t386) @t675)))) % 6.41/6.70 (assume @p2100 (forall @t2990 (=> @t2916 @t2989))) % 6.41/6.70 (assume @p2101 (forall @t2172 (=> @t2916 (=> @t1248 (= @t2982 @t2986))))) % 6.41/6.70 (assume @p2102 (forall @t2993 (=> @t776 (= (= (tptp.hAPP @t2957 @t244) @t467) (forall @t7 (=> @t2992 @t2991)))))) % 6.41/6.70 (assume @p2103 (forall @t2996 (=> @t2977 (=> @t2466 (= @t2995 (tptp.hAPP (tptp.hAPP @t2976 @t2994) @t2463)))))) % 6.41/6.70 (assume @p2104 (forall (@list @t60 @t2 @t8 @t74) (=> (and (tptp.class_Smallcheck_Osmall @t74) (tptp.class_Smallcheck_Osmall @t8)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall @t2930) @t2) @t60) (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 tptp.tc_Code__Numeral_Ocode__numeral @t1890) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2997 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t1890) @t8) (tptp.c_Smallcheck_Osmall__class_Osmall @t74)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2940 @t2997 @t8) (tptp.hAPP (tptp.c_COMBB @t2930 @t1890 @t74) @t2)) @t2933))) @t60)) @t60))))) % 6.41/6.70 (assume @p2105 (forall @t3001 (=> @t2916 (=> @t184 (= (tptp.hAPP (tptp.hAPP @t2911 @t3000) @t51) (tptp.hAPP @t2998 (tptp.hAPP (tptp.hAPP @t2911 @t1096) @t51))))))) % 6.41/6.70 (assume @p2106 (forall @t1904 (=> @t1344 (= (= @t2960 @t1082) @t3002)))) % 6.41/6.70 (assume @p2107 (forall @t1904 (=> @t1344 (= (= @t1082 @t2960) @t3002)))) % 6.41/6.70 (assume @p2108 (forall @t150 (=> @t1339 (= (tptp.hAPP @t2900 @t1480) @t1082)))) % 6.41/6.70 (assume @p2109 (forall @t2787 (=> @t725 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2961) @t2960)) @t1556)))) % 6.41/6.70 (assume @p2110 (forall @t2787 (=> @t725 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2961) @t2960)) @t1529)))) % 6.41/6.70 (assume @p2111 (forall @t1444 (=> @t1339 (= (tptp.hAPP @t2900 @t1522) (tptp.hAPP (tptp.hAPP @t676 @t3004) @t3003))))) % 6.41/6.70 (assume @p2112 (forall @t2182 (=> @t1378 (= (tptp.hAPP @t2900 @t1464) @t1391)))) % 6.41/6.70 (assume @p2113 (forall @t1444 (=> @t1339 (= (tptp.hAPP @t2900 @t1545) (tptp.hAPP (tptp.hAPP @t754 @t3004) @t3003))))) % 6.41/6.70 (assume @p2114 (forall @t150 (=> @t1339 (= (tptp.hAPP @t2900 @t1477) @t675)))) % 6.41/6.70 (assume @p2115 (forall @t1444 (=> @t1339 (= (tptp.hAPP @t2900 (tptp.hAPP (tptp.hAPP @t1408 @t1389) @t513)) (tptp.hAPP (tptp.hAPP @t392 @t3004) @t3003))))) % 6.41/6.70 (assume @p2116 (forall @t2251 (=> @t1339 (= (tptp.hAPP @t2900 @t2197) @t2250)))) % 6.41/6.70 (assume @p2117 (forall @t2407 (=> @t1339 (= (tptp.hAPP @t2900 @t1499) (tptp.hAPP @t784 @t3003))))) % 6.41/6.70 (assume @p2118 (forall @t1904 (=> @t1339 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t2960) @t1321))))) % 6.41/6.70 (assume @p2119 (forall (@list @t336 @t513 @t8) (=> @t1339 (= (tptp.hAPP @t2900 @t2698) (tptp.hAPP (tptp.hAPP @t2648 @t3003) @t336))))) % 6.41/6.70 (assume @p2120 (forall @t3009 (=> @t2151 (= @t3008 @t3007)))) % 6.41/6.70 (assume @p2121 (forall @t2872 (=> @t497 (=> @t2871 @t3011)))) % 6.41/6.70 (assume @p2122 (forall @t3014 (=> @t497 (= (= @t56 @t3010) @t3013)))) % 6.41/6.70 (assume @p2123 (forall @t3014 (=> @t497 (= @t3011 @t3013)))) % 6.41/6.70 (assume @p2124 (forall @t3020 (=> @t484 (=> @t3019 (=> @t3018 (= (tptp.hAPP @t3017 @t3015) @t2893)))))) % 6.41/6.70 (assume @p2125 (forall @t3022 (=> @t2916 (=> @t2151 (and (=> @t2913 (= @t3021 @t2915)) (=> @t2914 (= @t3021 @t2986))))))) % 6.41/6.70 (assume @p2126 (forall @t3022 (=> @t2916 (=> @t2151 (and (=> @t2913 (= @t3025 @t2915)) (=> @t2914 (= @t3025 @t2986))))))) % 6.41/6.70 (assume @p2127 (forall @t2863 (= (tptp.hAPP @t2343 @t2928) @t3026))) % 6.41/6.70 (assume @p2128 (forall (@list @t100 @t51 @t8 @t74) (=> @t2916 (=> @t184 (= (tptp.hAPP (tptp.hAPP @t2911 (tptp.hAPP @t1582 @t100)) @t51) (tptp.hAPP (tptp.hAPP @t2771 @t100) @t403)))))) % 6.41/6.70 (assume @p2129 (forall @t3029 (=> @t2916 (=> @t184 (=> @t353 (= @t3028 (tptp.hAPP @t3027 @t2988))))))) % 6.41/6.70 (assume @p2130 (forall @t3030 (=> @t2916 (=> @t184 (=> @t366 (= (tptp.hAPP @t2981 @t54) (tptp.hAPP (tptp.hAPP @t1430 @t530) @t2982))))))) % 6.41/6.70 (assume @p2131 (forall @t150 (=> @t1378 (= (tptp.hAPP @t2900 @t2847) @t2836)))) % 6.41/6.70 (assume @p2132 (forall @t3032 (=> @t2916 (=> @t184 (= @t3028 @t3031))))) % 6.41/6.70 (assume @p2133 (forall @t1904 (=> @t725 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t2960) @t1082)) (tptp.hBOOL (tptp.hAPP @t1553 @t1480)))))) % 6.41/6.70 (assume @p2134 (forall @t1904 (=> @t725 (= (tptp.hBOOL (tptp.hAPP @t1083 @t2960)) @t1909)))) % 6.41/6.70 (assume @p2135 (forall @t1904 (=> @t725 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t2960) @t1082)) @t1502)))) % 6.41/6.70 (assume @p2136 (forall @t1904 (=> @t725 (= (tptp.hBOOL (tptp.hAPP @t1204 @t2960)) @t1496)))) % 6.41/6.70 (assume @p2137 (forall @t2407 (=> @t1339 (=> @t1494 (= (tptp.hAPP @t2177 @t1924) @t3003))))) % 6.41/6.70 (assume @p2138 (forall @t2863 (= (tptp.hAPP @t2342 @t2929) @t3034))) % 6.41/6.70 (assume @p2139 (forall @t3029 (=> @t2916 (=> @t184 (=> @t323 (= @t2988 @t3031)))))) % 6.41/6.70 (assume @p2140 (forall @t3020 (=> @t484 (=> @t3019 (=> @t3037 (= (tptp.hAPP @t3017 @t3035) @t2895)))))) % 6.41/6.70 (assume @p2141 (forall @t1467 (=> @t3044 (and (=> @t3042 (= @t3040 (tptp.hAPP @t3043 @t3041))) (=> (not @t3042) (= @t3040 (tptp.hAPP @t3039 (tptp.c_Divides_OnegDivAlg @t1477 @t3038)))))))) % 6.41/6.70 (assume @p2142 (forall @t1465 (=> @t3050 (and (=> @t3049 (= @t3047 (tptp.hAPP @t3043 @t3048))) (=> (not @t3049) (= @t3047 (tptp.hAPP @t3046 (tptp.c_Divides_OnegDivAlg @t1463 @t3045)))))))) % 6.41/6.70 (assume @p2143 (forall @t2548 (=> @t2560 (and (=> @t3054 @t3055) (=> (not @t3054) @t3053))))) % 6.41/6.70 (assume @p2144 (forall @t2482 (and (=> @t3057 @t3055) (=> (not @t3057) @t3053)))) % 6.41/6.70 (assume @p2145 (forall @t1467 (=> @t3044 (and (=> @t3059 (= @t3058 @t3061)) (=> (not @t3059) (= @t3058 (tptp.hAPP @t3039 (tptp.c_Divides_OposDivAlg @t1477 @t3038)))))))) % 6.41/6.70 (assume @p2146 (forall @t3065 (=> @t3064 (=> (not @t3063) @t3062)))) % 6.41/6.70 (assume @p2147 (forall (@list @t74 @t8 @t51 @t100 @t73 @t289) (=> (=> @t3066 @t3063) @t3064))) % 6.41/6.70 (assume @p2148 (forall @t2952 (not @t2951))) % 6.41/6.70 (assume @p2149 (forall (@list @t289 @t74 @t8 @t100 @t73 @t51) (=> @t3063 @t3064))) % 6.41/6.70 (assume @p2150 (forall (@list @t51 @t74 @t8 @t100 @t73 @t289) (=> @t3062 @t3064))) % 6.41/6.70 (assume @p2151 (forall (@list @t289 @t8 @t51) (=> (= @t51 @t3070) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3069 @t51) @t289))))) % 6.41/6.70 (assume @p2152 (forall (@list @t116 @t74 @t8 @t100 @t73 @t117) (=> @t3073 (=> @t3072 @t3071)))) % 6.41/6.70 (assume @p2153 (forall (@list @t100 @t73 @t116 @t117 @t74 @t8) (=> @t3072 (=> @t3073 @t3071)))) % 6.41/6.70 (assume @p2154 (forall @t2525 (= (tptp.c_Divides_OposDivAlg @t1480 @t39) @t3074))) % 6.41/6.70 (assume @p2155 (forall @t2355 (=> (tptp.hBOOL (tptp.hAPP @t1493 @t561)) (=> @t2639 (= (tptp.c_Divides_OposDivAlg @t561 @t556) @t3075))))) % 6.41/6.70 (assume @p2156 (forall @t2355 (=> @t2902 (=> (tptp.hBOOL (tptp.hAPP @t1481 @t556)) (= (tptp.c_Divides_OnegDivAlg @t561 @t556) @t3075))))) % 6.41/6.70 (assume @p2157 (forall @t2525 (= (tptp.c_Divides_OnegDivAlg @t2847 @t39) (tptp.hAPP @t3043 @t2856)))) % 6.41/6.70 (assume @p2158 (forall @t1465 (=> @t3050 (and (=> @t3078 (= @t3076 (tptp.hAPP @t3060 @t1463))) (=> (not @t3078) (= @t3076 (tptp.hAPP @t3046 (tptp.c_Divides_OposDivAlg @t1463 @t3045)))))))) % 6.41/6.70 (assume @p2159 (forall @t2548 (=> @t2560 (and (=> @t2610 @t3081) (=> (not @t2610) @t3080))))) % 6.41/6.70 (assume @p2160 (forall @t2482 (and (=> @t3082 @t3081) (=> (not @t3082) @t3080)))) % 6.41/6.70 (assume @p2161 (forall (@list @t100 @t73 @t201 @t74 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t8 @t74 @t201) @t73) @t100)) (tptp.hBOOL (tptp.hAPP @t2937 @t201))))) % 6.41/6.70 (assume @p2162 (forall @t618 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t336 @t521) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t3084) @t3083)))) % 6.41/6.70 (assume @p2163 (forall @t3091 (= (tptp.c_Nitpick_Orefl_H @t8 @t2917) (forall @t7 @t3090)))) % 6.41/6.70 (assume @p2164 (forall (@list @t58) (= @t2927 (tptp.hAPP @t3103 (tptp.hAPP (tptp.hAPP @t3102 (tptp.hAPP @t3101 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3092 @t3100 tptp.tc_Int_Oint) (tptp.hAPP @t2924 (tptp.hAPP @t2923 (tptp.hAPP (tptp.hAPP @t3099 @t1493) @t3095)))) (tptp.hAPP (tptp.hAPP @t3098 (tptp.hAPP @t3097 (tptp.hAPP @t3093 (tptp.hAPP (tptp.hAPP @t3094 (tptp.hAPP @t3096 @t2308)) @t1477)))) @t3095)))) (tptp.hAPP @t3093 @t2308)))))) % 6.41/6.70 (assume @p2165 (forall (@list @t2 @t210 @t51 @t58 @t13 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3110 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3107 @t3106) (tptp.hAPP (tptp.c_Set_Oimage @t2930 @t210 @t3105) @t51)))))) % 6.41/6.70 (assume @p2166 (forall @t3119 (=> @t1339 (and (=> @t2599 (= @t3117 @t1082)) (=> @t3118 (and (=> @t2595 (= @t3117 (tptp.hAPP @t784 (tptp.hAPP @t2900 (tptp.hAPP @t1409 @t205))))) (=> (not @t2595) (= @t3117 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3116 @t3115) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3114 (tptp.tc_fun @t3116 @t3115) tptp.tc_Int_Oint) (tptp.c_COMBB @t1969 @t8 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t3114 tptp.tc_Int_Oint) @t2656) @t2900))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t1969 @t1969) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1970 (tptp.tc_fun @t1969 @t1969) tptp.tc_Int_Oint) @t2655) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t1969 @t1970) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1970 (tptp.tc_fun @t1969 @t1970) tptp.tc_Int_Oint) @t2653) (tptp.hAPP @t1971 @t3113))) @t3111))) (tptp.hAPP (tptp.hAPP @t2304 (tptp.hAPP (tptp.hAPP @t2653 @t676) @t3111)) @t675)))) (tptp.c_Divides_Odivmod__int @t205 @t2307)))))))))) % 6.41/6.70 (assume @p2167 (forall @t618 (=> @t1147 (=> @t865 (= @t3121 (tptp.hAPP (tptp.hAPP @t3120 @t2732) @t2707)))))) % 6.41/6.70 (assume @p2168 (forall @t2604 (=> (tptp.hBOOL (tptp.hAPP @t3129 @t3128)) (and (=> @t3127 (= @t3123 (tptp.hAPP @t3043 @t3126))) (=> (not @t3127) (= @t3123 (tptp.hAPP @t2927 (tptp.c_Divides_OnegDivAlg @t13 @t3122)))))))) % 6.41/6.70 (assume @p2169 (forall (@list @t74 @t8 @t58 @t13 @t129) (=> (tptp.hBOOL @t3131) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3130 @t129) @t3109))))) % 6.41/6.70 (assume @p2170 (forall (@list @t74 @t8 @t58 @t13 @t2) (=> @t3133 @t3132))) % 6.41/6.70 (assume @p2171 (forall (@list @t210 @t74 @t58 @t13 @t18 @t261 @t8) (=> (tptp.hBOOL (tptp.hAPP @t1104 @t3137)) (tptp.hBOOL (tptp.hAPP @t1104 (tptp.hAPP @t3136 @t3135)))))) % 6.41/6.70 (assume @p2172 (forall (@list @t18 @t58 @t13 @t201 @t210 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3138 @t201) @t3109) @t18)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t201 @t13) @t58) @t18))))) % 6.41/6.70 (assume @p2173 (forall @t3139 (=> @t3132 @t3133))) % 6.41/6.70 (assume @p2174 (forall (@list @t13 @t58 @t2917 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3140 @t58)) (=> @t3142 @t3141)))) % 6.41/6.70 (assume @p2175 (forall @t3143 (= @t3141 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2917 @t3) @t13)) (tptp.hBOOL (tptp.hAPP @t3140 @t3))))))) % 6.41/6.70 (assume @p2176 (forall @t875 (= (tptp.c_Divides_Odivmod__nat @t521 @t1074) @t3145))) % 6.41/6.70 (assume @p2177 (forall @t672 (and (=> @t3149 (= @t3148 (tptp.hAPP @t3144 @t378))) (=> (not @t3149) (= @t3148 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3146) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3147 tptp.tc_Nat_Onat) @t3120) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t1257 @t281))))))) % 6.41/6.70 (assume @p2178 (forall @t3154 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3153 @t3150) @t3151)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.c_Wellfounded_Oaccp @t8 @t3151)) (tptp.c_Wellfounded_Oaccp @t8 @t3150)))))) % 6.41/6.70 (assume @p2179 (forall (@list @t74 @t8 @t117) (= @t1919 (forall @t3156 (tptp.hBOOL (tptp.hAPP @t117 @t3155)))))) % 6.41/6.70 (assume @p2180 (forall (@list @t3157 @t107 @t58 @t13 @t74 @t8) (= (= @t3109 @t3158) (and @t108 (= @t58 @t3157))))) % 6.41/6.70 (assume @p2181 (forall (@list @t1604 @t169 @t39 @t348 @t74 @t8) (=> (= @t3159 (tptp.hAPP (tptp.hAPP @t2933 @t169) @t1604)) (not (=> (= @t348 @t169) (not (= @t39 @t1604))))))) % 6.41/6.70 (assume @p2182 (forall (@list @t18 @t210 @t74 @t8 @t2748 @t3161) (=> (= @t3161 @t2748) (= (tptp.hAPP @t3160 @t3161) (tptp.hAPP @t3160 @t2748))))) % 6.41/6.70 (assume @p2183 (forall @t524 (=> @t548 (= @t3121 @t3145)))) % 6.41/6.70 (assume @p2184 (forall @t524 (= @t3121 @t3162))) % 6.41/6.70 (assume @p2185 (forall (@list @t1594 @t2691) (= (tptp.c_Divides_Odivmod__int @t2691 @t1594) (tptp.hAPP (tptp.hAPP @t2919 (tptp.hAPP (tptp.hAPP @t2484 @t2691) @t1594)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2691 @t1594))))) % 6.41/6.70 (assume @p2186 (forall (@list @t58 @t13 @t2 @t8 @t210 @t74) (= (tptp.hAPP @t3164 @t3135) @t3106))) % 6.41/6.70 (assume @p2187 (forall @t3165 (= (tptp.hAPP (tptp.hAPP @t3163 @t129) @t3135) @t3131))) % 6.41/6.70 (assume @p2188 (forall (@list @t2 @t210 @t74 @t8) (= (tptp.hAPP @t3104 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2940 @t3166 @t8) (tptp.hAPP (tptp.c_COMBB @t2930 @t210 @t74) @t2)) @t2933)) @t2))) % 6.41/6.70 (assume @p2189 (forall (@list @t3161 @t1 @t3167 @t3169 @t2 @t8 @t210 @t74) (= (tptp.hAPP @t3164 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3169 @t3167 @t3168) @t1) @t3161)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3169 @t3167 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t3167 @t3168) (tptp.tc_fun @t3167 @t8) @t3169) (tptp.hAPP (tptp.c_COMBB @t3168 @t8 @t3167) @t3164)) @t1)) @t3161)))) % 6.41/6.70 (assume @p2190 (forall @t2604 (=> (tptp.hBOOL (tptp.hAPP @t3172 @t3128)) (and (=> @t3171 (= @t3170 (tptp.hAPP @t3060 @t13))) (=> (not @t3171) (= @t3170 (tptp.hAPP @t2927 (tptp.c_Divides_OposDivAlg @t13 @t3122)))))))) % 6.41/6.70 (assume @p2191 (forall @t2482 (and (=> @t2483 (and (=> @t3177 (= @t3174 @t3079)) (=> (not @t3177) (and (=> @t2563 (= @t3174 @t3074)) (=> @t2564 (= @t3174 @t3176)))))) (=> (not @t2483) (and (=> @t2560 (= @t3174 @t3052)) (=> @t3175 (= @t3174 @t3173))))))) % 6.41/6.70 (assume @p2192 (forall @t3187 (=> (tptp.hBOOL (tptp.hAPP @t3129 @t3186)) (=> (forall @t3156 (=> (tptp.hBOOL (tptp.hAPP @t3129 @t3185)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t1493 (tptp.hAPP (tptp.hAPP @t1394 @t268) @t1302))) @t3184)) @t3183) @t3182))) @t3180)))) % 6.41/6.70 (assume @p2193 (forall @t3189 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t348 @t39) @t3188)) (=> (tptp.hBOOL (tptp.hAPP @t1100 @t39)) (=> @t2741 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t348 @t2665) (tptp.hAPP (tptp.hAPP @t3120 (tptp.hAPP (tptp.hAPP @t2661 @t1594) @t333)) @t2740)))))))) % 6.41/6.70 (assume @p2194 (forall (@list @t3190 @t3191 @t336 @t521) (=> @t3193 (=> (tptp.hBOOL (tptp.hAPP @t3192 @t3190)) (= @t3191 @t3190))))) % 6.41/6.70 (assume @p2195 (forall @t524 (tptp.hBOOL (tptp.hAPP @t3192 @t3121)))) % 6.41/6.70 (assume @p2196 (forall (@list @t3191 @t336 @t521) (=> @t3193 (= @t3121 @t3191)))) % 6.41/6.70 (assume @p2197 (forall @t3195 (=> @t3194 (= @t2671 @t1232)))) % 6.41/6.70 (assume @p2198 (forall @t3195 (=> @t3194 (= @t2674 @t1594)))) % 6.41/6.70 (assume @p2199 (forall (@list @t1232 @t1594) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t3197) (tptp.hAPP @t3196 (tptp.hAPP @t1409 @t1232))))) % 6.41/6.70 (assume @p2200 (forall @t524 (tptp.hBOOL (tptp.hAPP @t3192 @t3162)))) % 6.41/6.70 (assume @p2201 (forall @t3204 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t348 @t333) (tptp.hAPP (tptp.hAPP @t3120 @t3202) @t3199))) (=> (tptp.hBOOL (tptp.hAPP @t3203 (tptp.hAPP (tptp.hAPP @t3120 @t3201) @t3198))) (=> @t2741 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t2670 @t333) (tptp.hAPP (tptp.hAPP @t3120 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t553 @t3202) @t3201)) (tptp.hAPP (tptp.hAPP @t2661 @t3200) @t333))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3200 @t333))))))))) % 6.41/6.70 (assume @p2202 (forall @t3206 (=> (tptp.hBOOL (tptp.hAPP @t3203 @t3188)) (=> @t2741 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t2669 @t333) (tptp.hAPP (tptp.hAPP @t3120 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t2667 @t1594)) (tptp.hAPP (tptp.hAPP @t2661 @t3205) @t333))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3205 @t333)))))))) % 6.41/6.70 (assume @p2203 (forall (@list @t638 @t60 @t2) (=> (tptp.hBOOL (tptp.hAPP @t3210 (tptp.hAPP (tptp.hAPP @t3209 @t2) @t3207))) @t1895))) % 6.41/6.70 (assume @p2204 (forall @t3187 (=> (tptp.hBOOL (tptp.hAPP @t3172 @t3186)) (=> (forall @t3156 (=> (tptp.hBOOL (tptp.hAPP @t3172 @t3185)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t268) @t1302)) @t3184)) @t3183) @t3182))) @t3180)))) % 6.41/6.70 (assume @p2205 (forall @t3189 (=> @t3212 (=> @t2547 (=> @t2539 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t348 @t2538) (tptp.hAPP (tptp.hAPP @t2919 (tptp.hAPP (tptp.hAPP @t2484 @t1594) @t333)) @t2632)))))))) % 6.41/6.70 (assume @p2206 (forall @t2996 (=> @t3214 (= (tptp.hAPP (tptp.hAPP @t2954 @t2) @t51) (tptp.hAPP @t2195 (tptp.hAPP (tptp.hAPP @t2956 @t3213) @t51)))))) % 6.41/6.70 (assume @p2207 (forall @t3216 (=> @t3212 (=> @t3215 (=> @t2547 (= @t1232 @t1606)))))) % 6.41/6.70 (assume @p2208 (forall @t3216 (=> @t3212 (=> @t3215 (=> @t2547 (= @t1594 @t1603)))))) % 6.41/6.70 (assume @p2209 (forall @t3218 (=> @t3217 (=> @t2564 (= @t1232 @t1480))))) % 6.41/6.70 (assume @p2210 (forall @t2525 (=> @t2547 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1480 @t39) @t3074))))) % 6.41/6.70 (assume @p2211 (forall (@list @t3191 @t39 @t348) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2527 @t2526) @t3191)) (tptp.hBOOL (tptp.hAPP @t3211 (tptp.hAPP tptp.c_Divides_OnegateSnd @t3191)))))) % 6.41/6.70 (assume @p2212 (forall @t2548 (=> @t2547 (tptp.hBOOL (tptp.hAPP @t3211 @t3174))))) % 6.41/6.70 (assume @p2213 (forall @t3218 (=> @t3217 (=> @t2564 (= @t1594 @t1477))))) % 6.41/6.70 (assume @p2214 (forall @t3219 (=> @t3212 (=> @t2547 (= @t2495 @t1232))))) % 6.41/6.70 (assume @p2215 (forall @t3219 (=> @t3212 (=> @t2547 (= @t2497 @t1594))))) % 6.41/6.70 (assume @p2216 (forall @t2482 (=> @t2562 (=> @t2560 (tptp.hBOOL (tptp.hAPP @t3211 @t3052)))))) % 6.41/6.70 (assume @p2217 (forall @t2548 (=> @t2547 (tptp.hBOOL (tptp.hAPP @t3211 (tptp.hAPP (tptp.hAPP @t2919 @t2497) @t2495)))))) % 6.41/6.70 (assume @p2218 (forall @t2482 (=> @t2483 (=> @t2560 (tptp.hBOOL (tptp.hAPP @t3211 @t3079)))))) % 6.41/6.70 (assume @p2219 (forall @t3204 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t348 @t333) (tptp.hAPP (tptp.hAPP @t2919 @t3202) @t3199))) (=> (tptp.hBOOL (tptp.hAPP @t3222 (tptp.hAPP (tptp.hAPP @t2919 @t3201) @t3198))) (=> @t3221 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2508 @t333) (tptp.hAPP (tptp.hAPP @t2919 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP (tptp.hAPP @t1394 @t3202) @t3201)) (tptp.hAPP (tptp.hAPP @t2484 @t3220) @t333))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3220 @t333))))))))) % 6.41/6.70 (assume @p2220 (forall (@list @t2917 @t2748 @t58 @t13) (=> (tptp.hBOOL (tptp.hAPP @t3226 @t2926)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3225 @t58) (tptp.hAPP (tptp.hAPP @t2919 (tptp.hAPP (tptp.hAPP @t3223 @t3224) (tptp.hAPP (tptp.hAPP @t1408 @t3224) @t1477))) (tptp.hAPP (tptp.hAPP @t3223 @t1480) (tptp.hAPP (tptp.hAPP @t1408 @t58) @t2917)))))))) % 6.41/6.70 (assume @p2221 (forall @t2604 (= @t3226 (tptp.hAPP @t3230 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t1897 @t1897) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3228 @t3229 tptp.tc_Int_Oint) @t1953) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1897 @t3228 tptp.tc_Int_Oint) @t1955) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2789 @t1897 tptp.tc_Int_Oint) (tptp.hAPP @t3099 @t3023)) (tptp.hAPP @t3096 (tptp.hAPP @t1402 @t58)))))) (tptp.hAPP (tptp.hAPP @t1953 (tptp.hAPP @t1955 (tptp.hAPP (tptp.hAPP @t1950 (tptp.hAPP tptp.c_fimplies @t2555)) (tptp.hAPP @t3227 (tptp.hAPP (tptp.hAPP @t3112 @t1385) @t58))))) (tptp.hAPP (tptp.hAPP @t1950 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t2555))) (tptp.hAPP (tptp.hAPP @t1953 (tptp.hAPP @t1955 @t2558)) (tptp.hAPP (tptp.hAPP @t3112 @t1380) @t1480))))))))) % 6.41/6.70 (assume @p2222 (forall @t3219 (=> (= @t348 @t1618) (=> (and (=> @t2560 (and @t1596 @t1616)) (=> @t3175 (and @t1626 @t1627))) @t3212)))) % 6.41/6.70 (assume @p2223 (forall @t3206 (=> (tptp.hBOOL (tptp.hAPP @t3222 @t3197)) (=> @t3221 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2502 @t333) (tptp.hAPP (tptp.hAPP @t2919 (tptp.hAPP (tptp.hAPP @t1394 @t1598) (tptp.hAPP (tptp.hAPP @t2484 @t3231) @t333))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3231 @t333)))))))) % 6.41/6.70 (assume @p2224 (forall (@list @t117 @t179 @t176 @t3178) (=> (tptp.hBOOL (tptp.hAPP @t3210 (tptp.hAPP (tptp.hAPP @t3209 @t3178) (tptp.hAPP (tptp.hAPP @t2919 @t176) @t179)))) (=> (forall (@list @t3232 @t1283 @t1332) (=> (tptp.hBOOL (tptp.hAPP @t3210 (tptp.hAPP (tptp.hAPP @t3209 @t3232) @t3237))) (=> (=> @t3236 (=> (= @t3235 @t1894) (tptp.hBOOL (tptp.hAPP @t3233 @t3234)))) (tptp.hBOOL (tptp.hAPP @t3233 @t1332))))) (tptp.hBOOL (tptp.hAPP @t3179 @t179)))))) % 6.41/6.70 (assume @p2225 (forall @t1467 (=> @t3241 (= @t3240 (tptp.hAPP @t3239 @t3238))))) % 6.41/6.70 (assume @p2226 (forall (@list @t2 @t100 @t73 @t8) (= (tptp.hBOOL (tptp.hAPP @t3246 @t3244)) @t3242))) % 6.41/6.70 (assume @p2227 (forall @t1467 (=> @t3241 (= @t3248 (tptp.hAPP @t3247 @t3238))))) % 6.41/6.70 (assume @p2228 (forall (@list @t74 @t8 @t318) (= @t318 (tptp.hAPP (tptp.hAPP @t2933 (tptp.hAPP @t3250 @t318)) (tptp.hAPP @t3249 @t318))))) % 6.41/6.70 (assume @p2229 (forall (@list @t39 @t348 @t74 @t8) (= (tptp.hAPP @t3250 @t3159) @t348))) % 6.41/6.70 (assume @p2230 (forall (@list @t39 @t348 @t8 @t74) (= (tptp.hAPP @t3252 (tptp.hAPP (tptp.hAPP @t3251 @t348) @t39)) @t39))) % 6.41/6.70 (assume @p2231 (forall (@list @t2691 @t74 @t8) (= (tptp.hAPP (tptp.hAPP @t2933 @t3254) @t3253) @t2691))) % 6.41/6.70 (assume @p2232 (forall (@list @t348 @t284 @t95 @t74 @t8) (=> (= (tptp.hAPP @t3250 @t3255) @t348) (= @t95 @t348)))) % 6.41/6.70 (assume @p2233 (forall (@list @t348 @t284 @t95 @t8 @t74) (=> (= (tptp.hAPP @t3252 (tptp.hAPP (tptp.hAPP @t3251 @t95) @t284)) @t348) (= @t284 @t348)))) % 6.41/6.70 (assume @p2234 (forall (@list @t74 @t8 @t33 @t428) (= (= @t428 @t33) (and (= (tptp.hAPP @t3250 @t428) (tptp.hAPP @t3250 @t33)) (= (tptp.hAPP @t3249 @t428) (tptp.hAPP @t3249 @t33)))))) % 6.41/6.70 (assume @p2235 (forall (@list @t1594 @t2691 @t74 @t8) (=> (= @t3254 (tptp.hAPP @t3250 @t1594)) (=> (= @t3253 (tptp.hAPP @t3249 @t1594)) (= @t2691 @t1594))))) % 6.41/6.70 (assume @p2236 (forall (@list @t3161 @t18 @t8 @t210 @t74) (= (tptp.hAPP (tptp.hAPP @t3163 @t18) @t3161) (tptp.hAPP (tptp.hAPP @t18 @t3259) @t3257)))) % 6.41/6.70 (assume @p2237 (forall (@list @t1 @t2 @t3169 @t210 @t74 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2930 @t74 @t210) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3169 @t3166 @t2930) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t3169 @t2930) @t1) @t3250))) @t3249) (tptp.hAPP @t3104 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3169 @t3166 @t8) @t2) @t1))))) % 6.41/6.70 (assume @p2238 (forall (@list @t261 @t117 @t8 @t210 @t74) (= (tptp.hAPP (tptp.hAPP @t3163 @t117) @t261) (tptp.hAPP (tptp.hAPP @t117 (tptp.hAPP @t3258 @t261)) (tptp.hAPP @t3256 @t261))))) % 6.41/6.70 (assume @p2239 (forall (@list @t3161 @t2 @t8 @t210 @t74) (= (tptp.hAPP @t3164 @t3161) (tptp.hAPP (tptp.hAPP @t2 @t3259) @t3257)))) % 6.41/6.70 (assume @p2240 (forall (@list @t3161 @t74 @t8) (= @t3260 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t74 @t8) @t2973) @t3161)))) % 6.41/6.70 (assume @p2241 (forall (@list @t3161 @t8 @t74) (= (tptp.hAPP @t3252 @t3161) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t74 @t8 @t8) (tptp.hAPP (tptp.c_COMBK @t1969 @t74) @t1505)) @t3161)))) % 6.41/6.70 (assume @p2242 (forall @t2482 (= @t2497 (tptp.hAPP @t3247 @t3174)))) % 6.41/6.70 (assume @p2243 (forall @t2482 (= @t2495 (tptp.hAPP @t3239 @t3174)))) % 6.41/6.70 (assume @p2244 (forall @t2482 (=> @t2562 (=> @t2560 (= @t2497 (tptp.hAPP @t3247 @t3052)))))) % 6.41/6.70 (assume @p2245 (forall @t2482 (=> @t2562 (=> @t2560 (= @t2495 (tptp.hAPP @t3239 @t3052)))))) % 6.41/6.70 (assume @p2246 (forall @t2482 (=> @t1600 (=> @t3177 (= @t2497 (tptp.hAPP @t3247 @t3079)))))) % 6.41/6.70 (assume @p2247 (forall @t2482 (=> @t1600 (=> @t3177 (= @t2495 (tptp.hAPP @t3239 @t3079)))))) % 6.41/6.70 (assume @p2248 (forall @t1467 (=> @t2471 (= @t3248 (tptp.hAPP @t3247 @t3058))))) % 6.41/6.70 (assume @p2249 (forall @t1467 (=> @t2471 (= @t3240 (tptp.hAPP @t3239 @t3058))))) % 6.41/6.70 (assume @p2250 (forall @t2482 (=> @t1600 (=> @t2569 (= @t2497 (tptp.hAPP @t3247 @t3176)))))) % 6.41/6.70 (assume @p2251 (forall @t2482 (=> @t1600 (=> @t2569 (= @t2495 (tptp.hAPP @t3239 @t3176)))))) % 6.41/6.70 (assume @p2252 (forall @t2482 (=> @t2562 (=> @t3056 (= @t2497 (tptp.hAPP @t3247 @t3173)))))) % 6.41/6.70 (assume @p2253 (forall @t2482 (=> @t2562 (=> @t3056 (= @t2495 (tptp.hAPP @t3239 @t3173)))))) % 6.41/6.70 (assume @p2254 (forall (@list @t3161 @t1 @t2 @t74 @t8) (= (tptp.c_Product__Type_Oprod_Oprod__size @t8 @t74 @t2 @t1 @t3161) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t2 @t3260)) (tptp.hAPP @t1 @t3261))) @t1239)))) % 6.41/6.70 (assume @p2255 (forall (@list @t74 @t8 @t2748 @t116 @t3161 @t117) (=> (tptp.hBOOL (tptp.hAPP @t117 @t3161)) (=> (tptp.hBOOL (tptp.hAPP @t116 @t2748)) (and (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t3250 @t3262))) (tptp.hBOOL (tptp.hAPP @t116 (tptp.hAPP @t3249 @t3262)))))))) % 6.41/6.70 (assume @p2256 (forall (@list @t8 @t74 @t73 @t100 @t117) (=> (tptp.hBOOL (tptp.hAPP @t3266 @t73)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t117 (tptp.hAPP @t3252 @t3264)) (tptp.hAPP @t3265 @t3264)))))) % 6.41/6.70 (assume @p2257 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t3230 (tptp.hAPP (tptp.hAPP @t3268 (tptp.hAPP @t1953 (tptp.hAPP @t1955 @t1481))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t1897) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3267 @t3267 tptp.tc_Int_Oint) @t3112) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2789 @t3267 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t1897 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t1477))))) % 6.41/6.70 (assume @p2258 (forall @t524 (= @t2674 (tptp.hAPP @t3269 @t3121)))) % 6.41/6.70 (assume @p2259 (forall @t524 (= @t2671 (tptp.hAPP @t3270 @t3121)))) % 6.41/6.70 (assume @p2260 (forall (@list @t3271 @t281 @t378) (= (tptp.hBOOL (tptp.hAPP @t3274 @t3271)) (and (= @t378 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t855 @t3273) @t281)) @t3272)) (=> @t1142 (= @t3273 @t1074)) (=> @t1143 (and (=> @t1141 (and (tptp.hBOOL (tptp.hAPP @t1099 @t3272)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t3272) @t281)))) (=> (not @t1141) (and (tptp.hBOOL (tptp.hAPP @t655 @t3272)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t3272) @t1074)))))))))) % 6.41/6.70 (assume @p2261 (forall @t2557 @t3277)) % 6.41/6.70 (assume @p2262 (forall @t2604 (=> (tptp.hBOOL (tptp.hAPP @t3278 @t3128)) @t3277))) % 6.41/6.70 (assume @p2263 (forall @t3283 (=> @t3282 (=> @t3281 @t3280)))) % 6.41/6.70 (assume @p2264 (forall @t3283 (=> @t3242 @t3280))) % 6.41/6.70 (assume @p2265 (forall @t3187 (=> (tptp.hBOOL (tptp.hAPP @t3278 @t3186)) (=> (forall @t3156 (=> (tptp.hBOOL (tptp.hAPP @t3278 @t3185)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t1302) @t1480)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t117 (tptp.hAPP @t1409 @t268)) (tptp.hAPP @t1409 @t1302)))) @t3182))) @t3180)))) % 6.41/6.70 (assume @p2266 (forall @t3165 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t74 @t210 @t8 @t129 @t3135) @t3131))) % 6.41/6.70 (assume @p2267 (forall (@list @t428 @t2917 @t3157 @t107 @t58 @t13 @t74 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3289 (tptp.hAPP (tptp.hAPP @t3288 @t3109) @t3158)) (tptp.c_Wellfounded_Olex__prod @t8 @t74 @t2917 @t428))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t3287 @t107)) @t2917)) (and @t108 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3286 (tptp.hAPP (tptp.hAPP @t3284 @t58) @t3157)) @t428))))))) % 6.41/6.70 (assume @p2268 (forall @t316 (= (tptp.hBOOL (tptp.hAPP @t3294 @t3290)) (and @t629 @t361)))) % 6.41/6.70 (assume @p2269 (forall (@list @t8 @t201 @t100 @t3296 @t74 @t73 @t117) (=> @t133 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3286 (tptp.hAPP (tptp.hAPP @t3284 @t3296) @t100)) @t3297)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3289 (tptp.hAPP (tptp.hAPP @t3288 (tptp.hAPP @t2934 @t3296)) @t2935)) @t3295)))))) % 6.41/6.70 (assume @p2270 (forall (@list @t13 @t2 @t51 @t8 @t74) (=> @t3301 (=> @t184 (=> (not (= @t530 @t2978)) (and (=> @t299 (= @t3298 (tptp.hAPP @t3300 @t530))) (=> @t366 (= @t3298 @t2982)))))))) % 6.41/6.70 (assume @p2271 (forall @t1498 (= @t1908 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3146 @t1900) @t3306) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1900) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t1900 @t3305) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3304 (tptp.tc_fun @t1900 @t3305) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t1900 @t1900)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1876 @t3304 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3303 tptp.tc_Nat_Onat) @t3302)) @t468))) @t1901))))))) % 6.41/6.70 (assume @p2272 (forall @t3313 (=> @t3312 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t428) @t33)) @t3311)))) % 6.41/6.70 (assume @p2273 (forall @t508 (=> @t3318 (= (tptp.hAPP (tptp.hAPP @t3314 @t684) @t333) (tptp.hAPP (tptp.hAPP @t392 @t3317) @t3315))))) % 6.41/6.70 (assume @p2274 (forall @t680 (=> @t3318 (= (tptp.hAPP @t3316 @t675) @t348)))) % 6.41/6.70 (assume @p2275 (forall @t2795 (=> @t3321 @t3320))) % 6.41/6.70 (assume @p2276 (forall @t1913 (= (= @t3322 (tptp.hAPP tptp.c_Int_ORep__Integ @t100)) @t328))) % 6.41/6.70 (assume @p2277 (forall @t502 (=> @t3318 (= @t3324 (tptp.hAPP @t3323 @t39))))) % 6.41/6.70 (assume @p2278 (forall @t508 (=> @t3318 (= (tptp.hAPP @t795 @t3315) (tptp.hAPP (tptp.hAPP @t3314 @t796) @t333))))) % 6.41/6.70 (assume @p2279 (forall @t508 (=> @t3318 (= (tptp.hAPP @t3325 @t333) (tptp.hAPP (tptp.hAPP @t676 @t3317) @t3315))))) % 6.41/6.70 (assume @p2280 (forall @t680 (=> @t3318 (= (tptp.hAPP (tptp.hAPP @t3314 @t1082) @t348) @t1082)))) % 6.41/6.70 (assume @p2281 (forall @t680 (=> @t3326 (= (tptp.hAPP @t3316 @t1082) @t1082)))) % 6.41/6.70 (assume @p2282 (forall @t704 (=> @t3318 (=> @t3332 (= @t3330 @t3327))))) % 6.41/6.70 (assume @p2283 (forall @t3335 (=> @t3318 (=> @t3332 (= @t3334 @t3333))))) % 6.41/6.70 (assume @p2284 (forall @t1169 (=> @t3318 (=> @t2582 (=> (= @t39 @t900) (= @t3315 @t348)))))) % 6.41/6.70 (assume @p2285 (forall @t739 (=> @t3318 (=> @t2582 (=> (= @t900 @t39) (= @t348 @t3315)))))) % 6.41/6.70 (assume @p2286 (forall @t377 (=> @t3318 (=> (not @t1132) (= (= @t3336 @t675) @t69))))) % 6.41/6.70 (assume @p2287 (forall @t680 (=> @t3318 @t3338))) % 6.41/6.70 (assume @p2288 (forall @t680 (=> @t3326 (and (=> @t1127 (= @t3337 @t1082)) @t3338)))) % 6.41/6.70 (assume @p2289 (forall @t503 (=> @t3318 (=> @t1130 @t3339)))) % 6.41/6.70 (assume @p2290 (forall @t503 (=> @t3318 (=> @t1130 @t3340)))) % 6.41/6.70 (assume @p2291 (forall (@list @t336 @t348 @t39 @t8) (=> @t3341 (=> @t1130 @t3320)))) % 6.41/6.70 (assume @p2292 (forall @t2765 (=> @t3321 (= (tptp.hAPP @t3342 @t2761) (tptp.hAPP (tptp.hAPP @t2648 (tptp.hAPP @t3342 @t348)) @t336))))) % 6.41/6.70 (assume @p2293 (forall @t3343 (=> (tptp.class_Fields_Ofield__inverse__zero @t74) (=> @t184 (= (tptp.hAPP (tptp.hAPP @t2911 (tptp.hAPP (tptp.hAPP @t2999 (tptp.hAPP (tptp.hAPP @t2166 @t3299) @t2)) @t1)) @t51) (tptp.hAPP @t3300 @t2988)))))) % 6.41/6.70 (assume @p2294 (forall @t3350 (=> @t3349 (= (= @t3348 @t13) (and (=> @t3347 (= @t58 @t3346)) @t3345))))) % 6.41/6.70 (assume @p2295 (forall @t3353 (=> @t3349 (= (= @t3329 @t1373) (and (=> @t3332 (= @t58 @t3352)) @t3351))))) % 6.41/6.70 (assume @p2296 (forall @t3354 (=> @t3349 (= (= @t1373 @t3329) (and (=> @t3332 (= @t3352 @t58)) @t3351))))) % 6.41/6.70 (assume @p2297 (forall @t3355 (=> @t3349 (= (= @t13 @t3348) (and (=> @t3347 (= @t3346 @t58)) @t3345))))) % 6.41/6.70 (assume @p2298 (forall @t97 (=> @t3357 (= (tptp.hAPP @t3356 @t1825) @t1082)))) % 6.41/6.70 (assume @p2299 (forall @t680 (=> @t3358 (= (tptp.hAPP @t3316 @t2273) @t348)))) % 6.41/6.70 (assume @p2300 (forall @t97 (=> @t3358 (= (tptp.hAPP @t3356 @t2273) @t95)))) % 6.41/6.70 (assume @p2301 (forall @t97 (=> @t3357 (= (tptp.hAPP @t3356 @t2836) @t846)))) % 6.41/6.70 (assume @p2302 (forall @t3355 (=> @t3366 (= (tptp.hBOOL (tptp.hAPP @t690 @t3348)) (and (=> @t3362 @t3364) (=> @t3363 (and (=> @t3359 @t3361) (=> @t3360 @t1209)))))))) % 6.41/6.70 (assume @p2303 (forall @t3354 (=> @t3366 (= (tptp.hBOOL (tptp.hAPP @t1426 @t3329)) (and (=> @t1214 @t3370) (=> @t3369 (and (=> @t1213 @t3368) (=> @t3367 @t3359)))))))) % 6.41/6.70 (assume @p2304 (forall @t3353 (=> @t3366 (= (tptp.hBOOL (tptp.hAPP @t3371 @t1373)) (and (=> @t1214 @t3368) (=> @t3369 (and (=> @t1213 @t3370) (=> @t3367 @t3362)))))))) % 6.41/6.70 (assume @p2305 (forall @t3350 (=> @t3366 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t3348) @t13)) (and (=> @t3362 @t3361) (=> @t3363 (and (=> @t3359 @t3364) (=> @t3360 @t1211)))))))) % 6.41/6.70 (assume @p2306 (forall (@list @t521 @t336 @t348 @t8) (=> @t3341 (=> @t1131 (=> @t865 (= (tptp.hAPP @t2742 @t551) (tptp.hAPP (tptp.hAPP @t3314 @t2802) @t2761))))))) % 6.41/6.70 (assume @p2307 (forall @t97 (=> @t3357 (= (tptp.hAPP (tptp.hAPP @t3314 @t2836) @t95) (tptp.hAPP @t784 (tptp.hAPP @t3342 @t95)))))) % 6.41/6.70 (assume @p2308 (forall @t3313 (=> @t1290 @t3311))) % 6.41/6.70 (assume @p2309 (forall @t3355 (=> @t3366 (= (tptp.hBOOL (tptp.hAPP @t797 @t3348)) (and (=> @t3362 @t3373) (=> @t3363 (and (=> @t3359 @t3372) (=> @t3360 @t1176)))))))) % 6.41/6.70 (assume @p2310 (forall @t3354 (=> @t3366 (= (tptp.hBOOL (tptp.hAPP @t3374 @t3329)) (and (=> @t1214 @t3376) (=> @t3369 (and (=> @t1213 @t3375) (=> @t3367 (tptp.hBOOL (tptp.hAPP @t3374 @t1082)))))))))) % 6.41/6.70 (assume @p2311 (forall @t3353 (=> @t3366 (= (tptp.hBOOL (tptp.hAPP @t3377 @t1373)) (and (=> @t1214 @t3375) (=> @t3369 (and (=> @t1213 @t3376) (=> @t3367 (tptp.hBOOL (tptp.hAPP @t1083 @t1373)))))))))) % 6.41/6.70 (assume @p2312 (forall @t3350 (=> @t3366 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3348) @t13)) (and (=> @t3362 @t3372) (=> @t3363 (and (=> @t3359 @t3373) (=> @t3360 @t1177)))))))) % 6.41/6.70 (assume @p2313 (forall @t3091 (=> @t3378 (= (tptp.hBOOL (tptp.hAPP @t1204 (tptp.hAPP (tptp.hAPP @t3314 @t2917) @t2405))) (tptp.hBOOL (tptp.hAPP @t1204 @t2917)))))) % 6.41/6.70 (assume @p2314 (forall (@list @t1232 @t8) (=> @t3378 (=> (tptp.hBOOL (tptp.hAPP @t1204 @t1232)) (tptp.hBOOL (tptp.hAPP @t1204 (tptp.hAPP (tptp.hAPP @t3314 @t1232) @t2405))))))) % 6.41/6.70 (assume @p2315 (forall @t731 (=> @t3365 (= @t3381 (and (=> @t1214 @t3380) (=> @t3369 (and (=> @t1213 @t3379) (=> @t3367 @t1176)))))))) % 6.41/6.70 (assume @p2316 (forall @t3383 (=> @t3365 (= @t3382 (and (=> @t1214 @t3379) (=> @t3369 (and (=> @t1213 @t3380) (=> @t3367 @t1177)))))))) % 6.41/6.70 (assume @p2317 (forall @t704 (=> @t3384 (=> @t1214 (= @t3381 @t3380))))) % 6.41/6.70 (assume @p2318 (forall @t3335 (=> @t3384 (=> @t1214 (= @t3382 @t3379))))) % 6.41/6.70 (assume @p2319 (forall (@list @t1389 @t513 @t284 @t95 @t8) (=> @t3321 (= (tptp.hAPP (tptp.hAPP @t754 @t3385) (tptp.hAPP (tptp.hAPP @t3314 @t513) @t1389)) (tptp.hAPP (tptp.hAPP @t3314 @t1063) (tptp.hAPP @t1271 @t1389)))))) % 6.41/6.70 (assume @p2320 (forall @t502 (=> @t3321 @t3340))) % 6.41/6.70 (assume @p2321 (forall @t502 (=> @t3321 @t3339))) % 6.41/6.70 (assume @p2322 (forall @t71 (=> @t3365 (= (tptp.hBOOL (tptp.hAPP @t1083 @t3336)) @t1196)))) % 6.41/6.70 (assume @p2323 (forall @t71 (=> @t3365 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3336) @t1082)) @t1194)))) % 6.41/6.70 (assume @p2324 (forall @t508 (=> @t3365 (=> @t788 (=> @t1168 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3317) @t3315))))))) % 6.41/6.70 (assume @p2325 (forall @t508 (=> @t3365 (=> @t788 (=> @t1189 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3315) @t3317))))))) % 6.41/6.70 (assume @p2326 (forall @t512 (=> @t3384 (=> @t499 (=> @t1230 @t3386))))) % 6.41/6.70 (assume @p2327 (forall @t508 (=> @t3384 (=> @t501 (=> @t1227 @t3386))))) % 6.41/6.70 (assume @p2328 (forall @t491 (=> @t3384 (=> @t3389 (=> @t3388 @t3387))))) % 6.41/6.70 (assume @p2329 (forall @t491 (=> @t3384 (=> @t3389 (=> @t3392 @t3391))))) % 6.41/6.70 (assume @p2330 (forall @t491 (=> @t3384 (=> @t1346 (=> @t3388 @t3391))))) % 6.41/6.70 (assume @p2331 (forall @t491 (=> @t3384 (=> @t1346 (=> @t3392 @t3387))))) % 6.41/6.70 (assume @p2332 (forall @t71 (=> @t3365 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t3336) @t1082)) (or (and @t1211 @t3394) (and @t1209 @t3393)))))) % 6.41/6.70 (assume @p2333 (forall @t71 (=> @t3365 (= (tptp.hBOOL (tptp.hAPP @t1204 @t3336)) (or (and @t1211 @t3393) (and @t1209 @t3394)))))) % 6.41/6.70 (assume @p2334 (forall (@list @t1054 @t73 @t261 @t100 @t8) (=> @t3341 (=> @t1273 (=> (not @t1902) (= (= (tptp.hAPP (tptp.hAPP @t3314 @t73) @t100) (tptp.hAPP (tptp.hAPP @t3314 @t1054) @t261)) (= @t1056 @t1057))))))) % 6.41/6.70 (assume @p2335 (forall @t739 (=> @t3321 (=> @t2582 (= (tptp.hAPP (tptp.hAPP @t3314 @t1187) @t1186) @t3319))))) % 6.41/6.70 (assume @p2336 (forall @t739 (=> @t3321 (=> @t2582 (= (tptp.hAPP (tptp.hAPP @t3314 @t900) @t794) @t3319))))) % 6.41/6.70 (assume @p2337 (forall @t3383 (=> @t3321 (= @t3334 (and (=> @t3332 @t3333) @t3395))))) % 6.41/6.70 (assume @p2338 (forall @t731 (=> @t3321 (= @t3330 (and (=> @t3332 @t3327) @t3395))))) % 6.41/6.70 (assume @p2339 (forall @t491 (=> @t3384 (=> @t3397 (=> @t3388 @t3396))))) % 6.41/6.70 (assume @p2340 (forall @t491 (=> @t3384 (=> @t3397 (=> @t3392 @t3399))))) % 6.41/6.70 (assume @p2341 (forall @t3405 (=> @t3384 (=> @t1277 (=> @t817 (=> @t3404 (=> @t3403 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3402) @t3401))))))))) % 6.41/6.70 (assume @p2342 (forall @t3405 (=> @t3384 (=> @t1277 (=> @t490 (=> @t3404 (=> @t3403 @t3406))))))) % 6.41/6.70 (assume @p2343 (forall @t3405 (=> @t3384 (=> @t1346 (=> @t817 (=> @t3404 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t1389) @t513)) @t3406))))))) % 6.41/6.70 (assume @p2344 (forall @t491 (=> @t3384 (=> @t1277 (=> @t3388 @t3399))))) % 6.41/6.70 (assume @p2345 (forall @t491 (=> @t3384 (=> @t1277 (=> @t3392 @t3396))))) % 6.41/6.70 (assume @p2346 (forall @t508 (=> @t3384 (=> @t501 (=> @t1230 @t3410))))) % 6.41/6.70 (assume @p2347 (forall @t512 (=> @t3384 (=> @t499 (=> @t1227 @t3410))))) % 6.41/6.70 (assume @p2348 (forall @t3335 (=> @t3384 (=> @t1213 (= @t3412 @t3411))))) % 6.41/6.70 (assume @p2349 (forall @t704 (=> @t3384 (=> @t1213 (= @t3414 @t3413))))) % 6.41/6.70 (assume @p2350 (forall @t2093 (=> @t3384 (=> @t3392 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t3415) @t95)) (tptp.hBOOL (tptp.hAPP @t517 @t3385))))))) % 6.41/6.70 (assume @p2351 (forall @t520 (=> @t3384 (=> @t3392 (=> (tptp.hBOOL (tptp.hAPP @t477 @t3415)) (tptp.hBOOL (tptp.hAPP @t3390 @t513))))))) % 6.41/6.70 (assume @p2352 (forall @t3335 (=> @t3384 (=> @t1214 (= @t3412 @t3413))))) % 6.41/6.70 (assume @p2353 (forall @t704 (=> @t3384 (=> @t1214 (= @t3414 @t3411))))) % 6.41/6.70 (assume @p2354 (forall @t3383 (=> @t3365 (= @t3412 (and (=> @t1214 @t3413) (=> @t3369 (and (=> @t1213 @t3411) (=> @t3367 @t1211)))))))) % 6.41/6.70 (assume @p2355 (forall @t731 (=> @t3365 (= @t3414 (and (=> @t1214 @t3411) (=> @t3369 (and (=> @t1213 @t3413) (=> @t3367 @t1209)))))))) % 6.41/6.70 (assume @p2356 (forall @t2093 (=> @t3321 (=> @t3418 (= (tptp.hAPP @t2403 @t3385) @t3417))))) % 6.41/6.70 (assume @p2357 (forall @t3422 (=> @t3341 (=> @t3421 (= (tptp.hAPP @t1027 @t3420) (tptp.hAPP (tptp.hAPP @t3314 (tptp.hAPP (tptp.hAPP @t676 @t3419) @t284)) @t513)))))) % 6.41/6.70 (assume @p2358 (forall @t520 (=> @t3321 (=> @t3418 (= (tptp.hAPP @t3423 @t513) @t3417))))) % 6.41/6.70 (assume @p2359 (forall @t3422 (=> @t3341 (=> @t3421 (= (tptp.hAPP (tptp.hAPP @t676 @t3402) @t284) (tptp.hAPP @t3416 @t513)))))) % 6.41/6.70 (assume @p2360 (forall @t3427 (=> @t3341 (=> @t3418 (=> @t3421 (= (tptp.hAPP @t3423 @t3426) (tptp.hAPP (tptp.hAPP @t3314 (tptp.hAPP (tptp.hAPP @t676 @t1063) @t3425)) @t3424))))))) % 6.41/6.70 (assume @p2361 (forall @t3427 (=> @t3341 (=> @t3418 (=> @t3421 (= (tptp.hAPP (tptp.hAPP @t392 @t3385) @t3426) (tptp.hAPP (tptp.hAPP @t3314 (tptp.hAPP (tptp.hAPP @t392 @t1063) @t3425)) @t3424))))))) % 6.41/6.70 (assume @p2362 (forall @t3422 (=> @t3341 (=> @t3421 (= (tptp.hAPP (tptp.hAPP @t392 @t3402) @t284) (tptp.hAPP (tptp.hAPP @t3314 (tptp.hAPP @t1028 @t3415)) @t513)))))) % 6.41/6.70 (assume @p2363 (forall @t3422 (=> @t3341 (=> @t3421 (= (tptp.hAPP @t1028 @t3420) (tptp.hAPP (tptp.hAPP @t3314 (tptp.hAPP (tptp.hAPP @t392 @t3419) @t284)) @t513)))))) % 6.41/6.70 (assume @p2364 (forall @t502 (=> @t3384 (=> @t501 (tptp.hBOOL (tptp.hAPP @t500 @t3428)))))) % 6.41/6.70 (assume @p2365 (forall @t502 (=> @t3384 (=> @t501 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t3428) @t39)))))) % 6.41/6.70 (assume @p2366 (forall @t508 (=> @t3365 (=> @t788 (=> @t1189 @t3429))))) % 6.41/6.70 (assume @p2367 (forall @t512 (=> @t3384 (=> @t833 (=> @t1168 @t3429))))) % 6.41/6.70 (assume @p2368 (forall @t3335 (=> @t3384 (=> @t1213 (= @t3382 @t3380))))) % 6.41/6.70 (assume @p2369 (forall @t704 (=> @t3384 (=> @t1213 (= @t3381 @t3379))))) % 6.41/6.70 (assume @p2370 (forall @t2093 (=> @t3384 (=> @t3392 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3415) @t95)) (tptp.hBOOL (tptp.hAPP @t824 @t3385))))))) % 6.41/6.70 (assume @p2371 (forall @t520 (=> @t3384 (=> @t3392 (=> (tptp.hBOOL (tptp.hAPP @t778 @t3415)) (tptp.hBOOL (tptp.hAPP @t3398 @t513))))))) % 6.41/6.70 (assume @p2372 (forall @t3313 (=> @t3312 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t428) @t33)) @t3430)))) % 6.41/6.70 (assume @p2373 (forall (@list @t138 @t73 @t1460 @t100) (=> (tptp.hBOOL (tptp.hAPP @t3441 @t1460)) (=> @t3439 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3436 (tptp.hAPP @t3437 @t1460)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3436 (tptp.hAPP (tptp.hAPP @t3434 (tptp.hAPP @t3432 @t138)) @t1460)) tptp.c_FunDef_Omax__strict))))))) % 6.41/6.70 (assume @p2374 (forall @t3449 (=> @t3448 (=> @t3439 (=> (tptp.hBOOL (tptp.hAPP @t3447 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t3446 tptp.c_FunDef_Omin__strict))))))) % 6.41/6.70 (assume @p2375 (forall @t3313 (=> @t1290 @t3430))) % 6.41/6.70 (assume @p2376 (forall @t3452 (=> (not (= @t138 @t3450)) (tptp.hBOOL (tptp.hAPP @t3451 tptp.c_FunDef_Omin__strict))))) % 6.41/6.70 (assume @p2377 (forall (@list @t1460) (=> (tptp.hBOOL (tptp.hAPP @t3454 @t1460)) (=> (not (= @t1460 @t3450)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3436 (tptp.hAPP @t3453 @t1460)) tptp.c_FunDef_Omax__strict)))))) % 6.41/6.70 (assume @p2378 (forall @t3449 (=> @t3448 (=> @t3455 (=> (tptp.hBOOL (tptp.hAPP @t3447 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t3446 tptp.c_FunDef_Omin__weak))))))) % 6.41/6.70 (assume @p2379 (forall (@list @t3444 @t73 @t3442 @t100) (=> (tptp.hBOOL (tptp.hAPP @t3441 @t3442)) (=> @t3455 (=> (tptp.hBOOL (tptp.hAPP @t3447 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3436 (tptp.hAPP (tptp.hAPP @t3434 (tptp.hAPP @t3432 @t3444)) @t3442)) tptp.c_FunDef_Omax__weak))))))) % 6.41/6.70 (assume @p2380 (forall @t3452 (tptp.hBOOL (tptp.hAPP @t3451 tptp.c_FunDef_Omin__weak)))) % 6.41/6.70 (assume @p2381 (forall @t3452 (=> (tptp.hBOOL (tptp.hAPP @t3454 @t138)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3436 (tptp.hAPP @t3453 @t138)) tptp.c_FunDef_Omax__weak))))) % 6.41/6.70 (assume @p2382 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t3458 (tptp.c_Wellfounded_Omin__ext @t3146 tptp.c_FunDef_Opair__leq)) @t3457))) % 6.41/6.70 (assume @p2383 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t3458 (tptp.c_Wellfounded_Omax__ext @t3146 tptp.c_FunDef_Opair__leq)) @t3457))) % 6.41/6.70 (assume @p2384 (tptp.c_FunDef_Oreduction__pair @t3433 (tptp.hAPP (tptp.hAPP @t3459 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 6.41/6.70 (assume @p2385 (tptp.c_FunDef_Oreduction__pair @t3433 (tptp.hAPP (tptp.hAPP @t3459 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 6.41/6.70 (assume @p2386 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t3146 tptp.c_FunDef_Opair__less))) % 6.41/6.70 (assume @p2387 (forall (@list @t454 @t721 @t201 @t289 @t51 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3294 @t3460)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3293 (tptp.hAPP (tptp.hAPP @t3291 @t721) @t454)) @t3460)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3293 (tptp.hAPP (tptp.hAPP @t3291 @t1673) (tptp.hAPP @t1670 @t454))) @t3460)))))) % 6.41/6.70 (assume @p2388 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t3146 tptp.c_FunDef_Opair__less))) % 6.41/6.70 (assume @p2389 (forall (@list @t1569 @t73 @t201 @t8) (= (tptp.c_Wellfounded_Omax__extp @t8 (tptp.hAPP @t3466 @t201) @t73 @t1569) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3293 (tptp.hAPP (tptp.hAPP @t3291 @t73) @t1569)) @t3460))))) % 6.41/6.70 (assume @p2390 (forall @t1913 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3440 @t3467) tptp.c_Wellfounded_Oless__than)) @t2234))) % 6.41/6.70 (assume @p2391 (forall @t3472 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3307 @t3467) @t3471)) tptp.c_Int_Ointrel)) (= @t3470 @t3468)))) % 6.41/6.70 (assume @p2392 (forall @t3475 (=> @t3474 (tptp.c_FunDef_Oreduction__pair @t74 (tptp.hAPP (tptp.hAPP @t3473 @t117) @t2))))) % 6.41/6.70 (assume @p2393 (= tptp.c_FunDef_Opair__less (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than tptp.c_Wellfounded_Oless__than))) % 6.41/6.70 (assume @p2394 (forall (@list @t201 @t2 @t8) (= @t3279 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t3476 @t8) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t8 tptp.c_Wellfounded_Oless__than @t201)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t8 @t3476) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t8 @t3476) @t8) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t8)) @t2)) @t1505))))) % 6.41/6.70 (assume @p2395 (forall @t1586 (= @t3473 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3068 @t3068 @t3483) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3068 @t3486 @t3485) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3484 (tptp.tc_fun @t3486 @t3485) @t3068) (tptp.c_COMBB @t3482 @t3483 @t3068)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3481 @t3484 @t3068) (tptp.c_COMBS @t75 @t3478 @t3479)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3482 @t3481 @t3068) (tptp.hAPP (tptp.c_COMBB @t3478 @t3480 @t75) (tptp.c_Product__Type_OPair @t3478 @t3478))) @t3477)))) @t3477))))) % 6.41/6.70 (assume @p2396 (forall @t3495 (=> @t2916 (=> @t3494 (=> @t3493 (=> @t3492 (= @t3489 @t3488))))))) % 6.41/6.70 (assume @p2397 (forall @t3495 (=> @t2916 (=> @t3494 (=> @t3493 (=> @t3492 (= @t3488 @t3489))))))) % 6.41/6.70 (assume @p2398 (forall @t150 (= @t3243 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t8) tptp.c_Wellfounded_Oless__than)))) % 6.41/6.70 (assume @p2399 (forall (@list @t2 @t2917 @t74 @t100 @t73 @t8) (= (tptp.hBOOL (tptp.hAPP @t3246 @t3497)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3286 (tptp.hAPP (tptp.hAPP @t3284 @t115) @t1676)) @t2917))))) % 6.41/6.70 (assume @p2400 (forall @t1512 (=> @t1486 (exists @t430 (and @t3498 (= @t561 @t2245)))))) % 6.41/6.70 (assume @p2401 (forall @t243 (=> @t184 (= (tptp.hAPP @t3502 @t3501) (tptp.hAPP @t3499 @t403))))) % 6.41/6.70 (assume @p2402 (forall @t3020 (=> @t484 (=> @t3506 (=> @t3018 (= (tptp.hAPP @t3505 @t3503) @t2893)))))) % 6.41/6.70 (assume @p2403 (forall @t2863 (tptp.hBOOL (tptp.hAPP @t2335 @t3507)))) % 6.41/6.70 (assume @p2404 (forall @t2863 (tptp.hBOOL (tptp.hAPP @t2334 @t3508)))) % 6.41/6.70 (assume @p2405 (forall @t316 (=> @t746 @t3512))) % 6.41/6.70 (assume @p2406 (forall @t150 (= (tptp.hAPP @t3500 @t56) (tptp.hAPP (tptp.hAPP @t3515 @t56) @t3514)))) % 6.41/6.70 (assume @p2407 (forall @t1724 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3510 @t56) @t3509)))) % 6.41/6.70 (assume @p2408 (forall @t243 (not (= @t3501 @t3514)))) % 6.41/6.70 (assume @p2409 (forall @t316 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3518 (tptp.hAPP @t3517 @t3509)) (tptp.hAPP @t3500 @t1664))))) % 6.41/6.70 (assume @p2410 (forall @t57 (= (tptp.hAPP @t3500 @t54) (tptp.hAPP @t3517 (tptp.hAPP (tptp.c_Set_Oimage @t55 @t55 @t53) @t3501))))) % 6.41/6.70 (assume @p2411 (forall @t316 (= @t3512 @t746))) % 6.41/6.70 (assume @p2412 (forall @t316 (=> @t3512 @t746))) % 6.41/6.70 (assume @p2413 (forall @t243 (tptp.hBOOL (tptp.hAPP @t3511 @t3501)))) % 6.41/6.70 (assume @p2414 (forall @t3523 (= (tptp.hAPP @t3522 @t3521) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3520 @t3519)))) % 6.41/6.70 (assume @p2415 (forall @t243 (not (exists @t3524 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t55 @t3232) @t51) @t3501))))) % 6.41/6.70 (assume @p2416 (forall @t1737 (=> (= @t1094 @t289) (= @t3525 @t3509)))) % 6.41/6.70 (assume @p2417 (forall @t316 (=> @t746 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3518 @t3501) @t3509))))) % 6.41/6.70 (assume @p2418 (forall @t243 (= (tptp.hBOOL (tptp.hAPP @t3526 @t3501)) @t184))) % 6.41/6.70 (assume @p2419 (forall @t3532 (= (tptp.hAPP @t3531 @t3521) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t640 @t3528)))) % 6.41/6.70 (assume @p2420 (forall @t634 (= @t3533 (tptp.hAPP @t1899 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2237 @t2230))))) % 6.41/6.70 (assume @p2421 (forall @t965 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3518 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t3513) @t51) @t3534)) (tptp.hAPP @t3500 @t2330))))) % 6.41/6.70 (assume @p2422 (forall @t634 (=> (tptp.c_Nat__Transfer_Ois__nat @t378) (=> (tptp.c_Nat__Transfer_Ois__nat @t281) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t378 @t281) (tptp.hAPP @t2262 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t378) (tptp.hAPP tptp.c_Int_Onat @t281)))))))) % 6.41/6.70 (assume @p2423 (forall @t1913 (=> @t2838 @t3535))) % 6.41/6.70 (assume @p2424 (forall @t71 (=> @t497 (= @t3538 @t3536)))) % 6.41/6.70 (assume @p2425 (forall @t71 (=> @t497 (= (= @t56 @t3537) @t3536)))) % 6.41/6.70 (assume @p2426 (forall @t377 (=> @t497 (=> @t1212 @t3538)))) % 6.41/6.70 (assume @p2427 (forall @t68 (=> @t497 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t3537) @t3542)) (or @t3536 @t3541))))) % 6.41/6.70 (assume @p2428 (forall @t71 (=> @t497 (=> @t69 (= @t3537 @t70))))) % 6.41/6.70 (assume @p2429 (forall @t731 (=> @t497 (= (= @t3537 (tptp.hAPP @t64 @t56)) (and @t69 @t59))))) % 6.41/6.70 (assume @p2430 (forall @t14 (=> @t497 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t13) @t70)))) % 6.41/6.70 (assume @p2431 (forall @t485 (=> @t694 (= (tptp.hAPP @t2148 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t73 @t100)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t849 @t850))))) % 6.41/6.70 (assume @p2432 (forall @t1163 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t1094) @t289)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3518 @t3525) @t3509))))) % 6.41/6.70 (assume @p2433 (forall @t2863 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2888 @t1010) @t2928))) % 6.41/6.70 (assume @p2434 (forall @t1913 (=> @t1827 @t3535))) % 6.41/6.70 (assume @p2435 (forall @t2863 (= (tptp.hAPP @t2343 @t3507) (tptp.hAPP (tptp.hAPP @t468 @t3543) @t1468)))) % 6.41/6.70 (assume @p2436 (forall @t634 (=> @t925 (= @t3544 (tptp.hAPP (tptp.hAPP @t3302 @t282) @t3533))))) % 6.41/6.70 (assume @p2437 (forall @t2863 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2860 @t1010) @t2929))) % 6.41/6.70 (assume @p2438 (forall @t68 (=> @t497 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3537) @t3542)) (and (or @t3536 (and @t3540 @t3539 (or (tptp.hBOOL (tptp.hAPP @t688 @t13)) (tptp.hBOOL (tptp.hAPP @t892 @t60))))) @t915))))) % 6.41/6.70 (assume @p2439 (forall @t3020 (=> @t484 (=> @t3019 (=> @t3018 (= (tptp.hAPP @t3547 @t3015) @t3545)))))) % 6.41/6.70 (assume @p2440 (forall (@list @t638 @t637) (and (=> @t3549 (= @t3548 @t1898)) (=> (not @t3549) (= @t3548 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t638) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1889 @t637))))))) % 6.41/6.70 (assume @p2441 (forall @t2863 (= (tptp.hAPP @t2342 @t3508) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t1394 @t3033) @t1477))))) % 6.41/6.70 (assume @p2442 (forall @t2899 (=> @t484 (=> @t3551 (= (tptp.hAPP @t3550 @t2893) @t3545))))) % 6.41/6.70 (assume @p2443 (forall @t3565 (=> @t3564 (=> @t3563 (forall @t7 (=> @t3561 (=> @t3554 (tptp.hBOOL (tptp.hAPP @t3553 @t3552))))))))) % 6.41/6.70 (assume @p2444 (forall @t3571 (=> @t3564 (=> @t3570 (forall @t7 (=> @t3568 (=> @t3567 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t3566) @t33))))))))) % 6.41/6.70 (assume @p2445 (forall @t3091 (= (tptp.c_Relation_Oirrefl @t8 @t2917) @t3572))) % 6.41/6.70 (assume @p2446 (forall @t3565 (=> @t3564 (=> @t3563 (=> (forall @t7 (=> @t3573 (forall @t2329 (=> (tptp.hBOOL (tptp.hAPP @t3559 @t289)) (not (= @t33 (tptp.hAPP (tptp.hAPP @t1394 @t2327) @t3))))))) (= (tptp.hAPP @t3562 @t454) @t33)))))) % 6.41/6.70 (assume @p2447 (forall @t3578 (= (exists @t1242 (and @t3577 @t3576)) (exists @t7 (and @t3575 @t135))))) % 6.41/6.70 (assume @p2448 (forall @t3578 (= (forall @t1242 (=> @t3577 @t3576)) (forall @t7 (=> @t3575 @t135))))) % 6.41/6.70 (assume @p2449 (forall @t406 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t8 @t3580) @t73)) (tptp.hBOOL (tptp.hAPP @t3579 @t3501))))) % 6.41/6.70 (assume @p2450 (forall @t3571 (=> @t3564 (=> @t3583 (forall @t7 (=> @t3568 (=> @t3581 (not (= @t3566 @t33))))))))) % 6.41/6.70 (assume @p2451 (forall @t316 (=> @t746 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3518 @t3584) (tptp.c_Predicate_OPowp @t8 @t289)))))) % 6.41/6.70 (assume @p2452 (forall @t3571 (=> @t3564 (=> @t3570 (=> (forall @t7 (=> @t3573 (forall @t2329 (=> (tptp.hBOOL (tptp.hAPP @t3559 @t51)) (not (= @t33 (tptp.hAPP (tptp.hAPP @t1408 @t2327) @t3))))))) (= (tptp.hAPP @t3569 @t454) @t33)))))) % 6.41/6.70 (assume @p2453 (forall @t3571 (=> @t3564 (=> @t3583 (forall @t7 (=> @t3568 (=> @t3585 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t3566) @t33))))))))) % 6.41/6.70 (assume @p2454 (forall @t3565 (=> @t3564 (=> @t3588 (forall @t7 (=> @t3561 (=> @t3587 (tptp.hBOOL (tptp.hAPP @t3586 @t3552))))))))) % 6.41/6.70 (assume @p2455 (forall @t3565 (=> @t3564 (=> @t3588 (forall @t7 (=> @t3561 (=> @t3581 (not (= @t3552 @t33))))))))) % 6.41/6.70 (assume @p2456 (forall @t3589 (=> @t3564 (forall @t7 (=> @t3561 (=> @t3567 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t3552) @t33)))))))) % 6.41/6.70 (assume @p2457 (forall @t3590 (=> @t3564 (forall @t7 (=> @t3568 (=> @t3554 (tptp.hBOOL (tptp.hAPP @t3553 @t3566)))))))) % 6.41/6.70 (assume @p2458 (forall @t3595 (= (tptp.hAPP @t3591 (tptp.hAPP (tptp.hAPP @t3594 @t3593) @t2917)) (tptp.hAPP (tptp.hAPP @t1662 @t67) @t3592)))) % 6.41/6.70 (assume @p2459 (forall (@list @t117 @t60) (=> @t2067 (=> (forall (@list @t3 @t631) (= @t135 (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t2063 (tptp.hAPP (tptp.hAPP @t1402 @t631) @t60)))))) (= @t1921 (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t2596 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1477 @t60))) @t135))))))) % 6.41/6.70 (assume @p2460 (forall @t150 (= (tptp.hAPP @t3591 @t3070) @t56))) % 6.41/6.70 (assume @p2461 (forall @t3599 (=> @t3598 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t3592) @t3596))))) % 6.41/6.70 (assume @p2462 (forall @t3599 (= (tptp.hAPP @t3591 @t3602) (tptp.hAPP (tptp.hAPP @t1662 @t3592) @t3596)))) % 6.41/6.70 (assume @p2463 (forall @t3091 (=> @t3604 (tptp.hBOOL (tptp.hAPP @t182 @t3592))))) % 6.41/6.70 (assume @p2464 (forall @t3589 (=> @t3564 (forall @t7 (=> @t3561 (=> @t3585 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t3552) @t33)))))))) % 6.41/6.70 (assume @p2465 (forall @t3590 (=> @t3564 (forall @t7 (=> @t3568 (=> @t3587 (tptp.hBOOL (tptp.hAPP @t3586 @t3566)))))))) % 6.41/6.70 (assume @p2466 (forall (@list @t73 @t100 @t18) (and (=> @t3609 (= @t3606 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t2292 @t18)) (tptp.hAPP (tptp.hAPP @t468 @t100) @t18)))) (=> (not @t3609) (and (=> @t2234 (= @t3606 @t3608)) (=> (not @t2234) (= @t3606 @t1901))))))) % 6.41/6.70 (assume @p2467 (forall @t1144 (= @t3611 (tptp.hAPP @t1899 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1480 @t2230))))) % 6.41/6.70 (assume @p2468 (forall @t2863 (tptp.hBOOL (tptp.hAPP @t2335 @t3613)))) % 6.41/6.70 (assume @p2469 (forall @t2247 (tptp.hBOOL (tptp.hAPP @t2335 @t3614)))) % 6.41/6.70 (assume @p2470 (forall @t68 (=> @t484 (=> @t3617 (=> @t691 (=> @t689 @t61)))))) % 6.41/6.70 (assume @p2471 (forall @t68 (=> @t484 (=> @t3617 (=> @t691 (=> @t689 @t62)))))) % 6.41/6.70 (assume @p2472 (forall @t68 (=> @t484 (=> @t691 (=> @t689 (= @t3617 @t63)))))) % 6.41/6.70 (assume @p2473 (forall @t485 (=> @t484 (= (= @t3620 @t3619) @t328)))) % 6.41/6.70 (assume @p2474 (forall @t3578 (= (exists @t1242 (and @t3624 @t3576)) (exists @t7 (and @t3623 @t135))))) % 6.41/6.70 (assume @p2475 (forall @t3578 (= (forall @t1242 (=> @t3624 @t3576)) (forall @t7 (=> @t3623 @t135))))) % 6.41/6.70 (assume @p2476 (forall @t2863 (= (tptp.hAPP @t3612 @t3543) @t3507))) % 6.41/6.70 (assume @p2477 (forall @t2783 (= (tptp.hAPP @t3625 @t1074) @t1901))) % 6.41/6.70 (assume @p2478 (forall @t2863 (= (tptp.hAPP @t2343 @t3613) @t3026))) % 6.41/6.70 (assume @p2479 (forall @t3523 (= (tptp.hAPP @t3522 @t3627) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t3520) @t3519)))) % 6.41/6.70 (assume @p2480 (forall @t377 (=> @t497 (=> @t1269 @t3628)))) % 6.41/6.70 (assume @p2481 (forall @t71 (=> @t497 (= (= @t56 @t3616) @t3629)))) % 6.41/6.70 (assume @p2482 (forall @t71 (=> @t497 (= @t3628 @t3629)))) % 6.41/6.70 (assume @p2483 (forall @t68 (=> @t484 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t3616) @t3615)) (or @t1269 @t3541))))) % 6.41/6.70 (assume @p2484 (forall @t3020 (=> @t484 (=> @t3019 (=> @t3018 (= (tptp.hAPP @t3634 @t3632) @t3631)))))) % 6.41/6.70 (assume @p2485 (forall (@list @t378 @t281 @t638 @t8) (=> @t484 (=> (tptp.hBOOL (tptp.hAPP @t3636 @t281)) (= (tptp.hAPP (tptp.hAPP @t309 (tptp.hAPP @t3635 @t378)) (tptp.hAPP @t3635 @t281)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t281) @t378)))))) % 6.41/6.70 (assume @p2486 (forall @t2863 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2888) @t1010) @t2882))) % 6.41/6.70 (assume @p2487 (forall @t1144 (= @t3574 @t3611))) % 6.41/6.70 (assume @p2488 (forall @t3532 (= (tptp.hAPP @t3531 @t3627) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t640) @t3528)))) % 6.41/6.70 (assume @p2489 (forall @t3637 (= (tptp.hAPP @t2343 (tptp.hAPP @t3610 @t1010)) @t3543))) % 6.41/6.70 (assume @p2490 (forall @t2247 (= (tptp.hAPP @t3610 @t878) (tptp.hAPP @t3638 @t3614)))) % 6.41/6.70 (assume @p2491 (forall @t3640 (=> @t507 (= (tptp.hBOOL (tptp.hAPP @t2301 @t3639)) (tptp.hBOOL (tptp.hAPP @t3636 @t205)))))) % 6.41/6.70 (assume @p2492 (forall @t485 (=> @t497 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t3620) @t3619)) @t839)))) % 6.41/6.70 (assume @p2493 (forall (@list @t205 @t2108 @t281 @t8) (= (tptp.hAPP @t3642 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t55 tptp.tc_Nat_Onat) @t2108) @t3530)) (tptp.hAPP (tptp.hAPP @t3641 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t205 @t585)) @t2108)))) % 6.41/6.70 (assume @p2494 (forall @t2783 (= (tptp.hAPP @t3625 @t665) (tptp.hAPP (tptp.hAPP @t3302 @t378) @t1901)))) % 6.41/6.70 (assume @p2495 (forall @t3020 (=> @t484 (=> @t3019 (=> @t3018 (= (tptp.hAPP @t3634 @t3503) @t3545)))))) % 6.41/6.70 (assume @p2496 (forall @t644 (=> @t983 (= (tptp.hAPP @t3626 @t3528) (tptp.hAPP (tptp.hAPP @t2266 @t3627) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t637) @t3528)))))) % 6.41/6.70 (assume @p2497 (forall (@list @t205 @t51) (=> (tptp.hBOOL (tptp.hAPP @t2333 @t3643)) (= @t51 @t3643)))) % 6.41/6.70 (assume @p2498 (forall @t485 (=> @t694 (= (tptp.hAPP @t2148 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t73) @t100)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t849 @t850))))) % 6.41/6.70 (assume @p2499 (forall @t485 (=> @t694 (= (tptp.hAPP @t2148 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t73 @t100)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t849) @t850))))) % 6.41/6.70 (assume @p2500 (forall @t634 (and (=> @t877 (= @t3644 (tptp.hAPP (tptp.hAPP @t3302 @t281) @t3645))) (=> @t924 (= @t3644 @t1901))))) % 6.41/6.70 (assume @p2501 (= (tptp.hAPP @t3610 @t1074) @t3608)) % 6.41/6.70 (assume @p2502 (forall @t2899 (=> @t484 (=> @t3551 (= (tptp.hAPP @t3648 @t2893) @t3646))))) % 6.41/6.70 (assume @p2503 (forall @t3020 (=> @t484 (=> @t3506 (=> @t3018 (= (tptp.hAPP @t3505 @t3632) @t2895)))))) % 6.41/6.70 (assume @p2504 (forall (@list @t2108 @t281 @t8) (= (tptp.hAPP @t3642 @t2108) (tptp.hAPP (tptp.hAPP @t1662 (tptp.hAPP (tptp.hAPP @t3641 @t3649) @t2108)) (tptp.hAPP @t2108 @t1074))))) % 6.41/6.70 (assume @p2505 (forall @t2899 (=> @t484 (=> @t3551 (= (tptp.hAPP @t3650 @t2894) @t3545))))) % 6.41/6.70 (assume @p2506 (forall @t2899 (=> @t484 (=> @t2898 (= (tptp.hAPP @t3550 @t2895) @t3631))))) % 6.41/6.70 (assume @p2507 (forall @t3020 (=> @t484 (=> @t3019 (=> @t3037 (= (tptp.hAPP @t3547 @t3035) @t3631)))))) % 6.41/6.70 (assume @p2508 (forall @t2899 (=> @t484 (=> @t2898 (= (tptp.hAPP @t3648 @t2895) @t3652))))) % 6.41/6.70 (assume @p2509 (forall @t2899 (=> @t484 (=> @t3551 (= (tptp.hAPP @t3654 @t3545) @t3646))))) % 6.41/6.70 (assume @p2510 (forall @t1913 (= (= (tptp.hAPP @t3655 (tptp.hAPP @t3432 @t3450)) (tptp.hAPP @t3655 (tptp.hAPP @t3443 @t3450))) (tptp.hBOOL (tptp.hAPP @t3438 tptp.c_Int_Ointrel))))) % 6.41/6.70 (assume @p2511 (forall (@list @t1010 @t8) (=> @t484 (= (tptp.hAPP (tptp.hAPP @t1662 @t3652) @t2894) @t3646)))) % 6.41/6.70 (assume @p2512 (forall @t2247 (tptp.hBOOL (tptp.hAPP @t2335 @t3657)))) % 6.41/6.70 (assume @p2513 (forall @t2863 (tptp.hBOOL (tptp.hAPP @t2334 @t3659)))) % 6.41/6.70 (assume @p2514 (forall @t3661 (= (tptp.hAPP @t3660 @t386) @t56))) % 6.41/6.70 (assume @p2515 (forall (@list @t289 @t51 @t201 @t8 @t74) (= (tptp.hAPP @t3660 @t1736) (tptp.hAPP @t3664 @t3662)))) % 6.41/6.70 (assume @p2516 (forall @t485 (=> @t484 (= (= @t3666 @t3665) @t328)))) % 6.41/6.70 (assume @p2517 (forall (@list @t289 @t51 @t210 @t2917 @t8 @t74) (= (tptp.hAPP @t3667 @t2320) (tptp.hAPP @t2319 @t3668)))) % 6.41/6.70 (assume @p2518 (forall @t3637 (= (tptp.hAPP @t2343 (tptp.hAPP @t3656 @t1010)) @t1010))) % 6.41/6.70 (assume @p2519 (forall (@list @t51 @t3671 @t2917 @t3672 @t74 @t8) (=> @t3673 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t3671) @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t997 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t74 @t3672) @t3671)) @t3670)))))) % 6.41/6.70 (assume @p2520 (forall (@list @t51 @t1791 @t201 @t8 @t74) (= (tptp.hAPP (tptp.c_Relation_OImage @t74 @t8 (tptp.hAPP (tptp.hAPP @t3676 @t201) @t1791)) @t51) (tptp.hAPP @t3664 (tptp.hAPP (tptp.c_Relation_OImage @t74 @t8 @t1791) @t51))))) % 6.41/6.70 (assume @p2521 (forall @t1144 (= @t3622 @t3677))) % 6.41/6.70 (assume @p2522 (= (tptp.hAPP @t3656 @t1074) @t1901)) % 6.41/6.70 (assume @p2523 (forall @t2247 (= @t3679 (tptp.hAPP @t3678 @t3657)))) % 6.41/6.70 (assume @p2524 (forall @t2247 (= @t3679 @t3614))) % 6.41/6.70 (assume @p2525 (forall @t3637 (tptp.hBOOL (tptp.hAPP @t2334 @t3681)))) % 6.41/6.70 (assume @p2526 (forall @t3637 (=> (tptp.hBOOL (tptp.hAPP @t1493 @t1010)) (= @t3681 (tptp.hAPP @t2262 (tptp.hAPP @t3656 @t3682)))))) % 6.41/6.70 (assume @p2527 (forall @t3640 (=> @t507 (= (tptp.hBOOL (tptp.hAPP @t2301 @t3683)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t638) @t205)))))) % 6.41/6.70 (assume @p2528 (forall @t485 (=> @t484 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t3666) @t3665)) @t839)))) % 6.41/6.70 (assume @p2529 (forall (@list @t2917 @t58 @t74 @t51 @t13 @t8) (=> @t299 (=> @t3684 (tptp.hBOOL (tptp.hAPP @t1102 @t3670)))))) % 6.41/6.70 (assume @p2530 (forall @t3690 (= @t3689 (exists @t7 (and @t742 @t3687))))) % 6.41/6.70 (assume @p2531 (forall @t2208 (=> @t484 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 (tptp.hAPP @t3651 @t378)) (tptp.hAPP @t3651 @t281))) (tptp.hBOOL (tptp.hAPP @t3036 @t281)))))) % 6.41/6.70 (assume @p2532 (forall (@list @t289 @t2917 @t8 @t74) (= (tptp.hAPP @t3667 @t289) (tptp.hAPP @t2401 (tptp.hAPP (tptp.hAPP @t3692 @t3667) @t3691))))) % 6.41/6.70 (assume @p2533 (forall @t2863 (= (tptp.hAPP @t3658 (tptp.hAPP (tptp.hAPP @t1394 @t1010) @t1477)) @t3508))) % 6.41/6.70 (assume @p2534 (forall @t2863 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t3094 @t1394) @t1468)) (tptp.hAPP @t3680 @t3033)) @t3659))) % 6.41/6.70 (assume @p2535 (forall @t3637 (= (tptp.hAPP @t2342 @t3681) @t3682))) % 6.41/6.70 (assume @p2536 (forall @t2863 (= (tptp.hAPP @t2342 @t3659) @t3034))) % 6.41/6.70 (assume @p2537 (forall @t2863 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t2860) @t1010) @t2862))) % 6.41/6.70 (assume @p2538 (forall @t3119 (=> @t497 (= (tptp.hAPP (tptp.hAPP @t309 @t3693) @t3683) @t3693)))) % 6.41/6.70 (assume @p2539 (forall @t2899 (=> @t484 (=> @t3551 (= (tptp.hAPP @t3654 @t3631) @t3652))))) % 6.41/6.70 (assume @p2540 (forall (@list @t13 @t2917 @t74 @t58 @t8) (= (tptp.hBOOL (tptp.hAPP @t329 @t3696)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3686 @t3695) @t2917))))) % 6.41/6.70 (assume @p2541 (forall @t1144 (= @t3697 (tptp.hAPP @t3607 (tptp.hAPP @t3522 @t3677))))) % 6.41/6.70 (assume @p2542 (forall (@list @t637 @t638 @t8) (=> @t1339 (= (tptp.hAPP @t2900 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3655 (tptp.hAPP (tptp.hAPP @t3431 (tptp.hAPP (tptp.hAPP @t3120 @t638) @t637)) @t3450)))) (tptp.hAPP (tptp.hAPP @t392 (tptp.hAPP @t2177 @t638)) (tptp.hAPP @t2177 @t637)))))) % 6.51/6.70 (assume @p2543 (= @t1477 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3655 (tptp.hAPP (tptp.hAPP @t3431 (tptp.hAPP (tptp.hAPP @t3120 @t467) @t1074)) @t3450))))) % 6.51/6.70 (assume @p2544 (forall @t3472 (= (tptp.hAPP (tptp.hAPP @t1402 @t3701) @t3700) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3655 (tptp.hAPP (tptp.hAPP @t3431 (tptp.hAPP (tptp.hAPP @t3120 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t3699 @t1010)) (tptp.hAPP @t3698 @t240))) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t3699 @t240)) (tptp.hAPP @t3698 @t1010)))) @t3450)))))) % 6.51/6.70 (assume @p2545 (forall @t3472 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t3701) @t3700)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t3470) @t3468))))) % 6.51/6.70 (assume @p2546 (forall @t1828 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t3322) @t73))) % 6.51/6.70 (assume @p2547 (forall @t1913 (= (tptp.hAPP @t1409 @t3701) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3655 (tptp.hAPP (tptp.hAPP @t3431 (tptp.hAPP (tptp.hAPP @t3120 @t100) @t73)) @t3450)))))) % 6.51/6.70 (assume @p2548 (= @t1480 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3655 (tptp.hAPP (tptp.hAPP @t3431 (tptp.hAPP @t3144 @t1074)) @t3450))))) % 6.51/6.70 (assume @p2549 (forall @t2783 (= @t2237 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3655 (tptp.hAPP (tptp.hAPP @t3431 (tptp.hAPP @t3702 @t1074)) @t3450)))))) % 6.51/6.70 (assume @p2550 (forall @t3472 (= (tptp.hAPP (tptp.hAPP @t1394 @t3701) @t3700) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3655 (tptp.hAPP (tptp.hAPP @t3431 (tptp.hAPP (tptp.hAPP @t3120 (tptp.hAPP @t3469 @t1010)) (tptp.hAPP (tptp.hAPP @t553 @t100) @t240))) @t3450)))))) % 6.51/6.70 (assume @p2551 (forall @t1913 (= (tptp.hAPP tptp.c_Int_Onat @t3701) @t2293))) % 6.51/6.70 (assume @p2552 (forall @t1498 (= (tptp.hAPP @t1409 @t261) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3146 @t3433) @t3306) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3433) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3705 @t3705 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t3433 @t3433 tptp.tc_Nat_Onat) @t3655)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3433 @t3705) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3704 (tptp.tc_fun @t3433 @t3705) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t3433 @t3433)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3147 @t3704 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t3146 @t3703 tptp.tc_Nat_Onat) @t3431)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3146) @t3120)))) @t3450)))))))) % 6.51/6.70 (assume @p2553 (forall @t3472 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t3701) @t3700)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t3470) @t3468))))) % 6.51/6.70 (assume @p2554 (forall @t3707 (= (tptp.hAPP @t2308 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Nat_Onat) @t3125) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2789 tptp.tc_Nat_Onat) @t1402) @t2195)) @t60))) @t3677)) (tptp.hAPP (tptp.hAPP @t1402 @t2230) (tptp.hAPP @t3125 (tptp.hAPP @t3125 (tptp.hAPP (tptp.hAPP @t1402 (tptp.hAPP @t2195 @t3706)) @t60))))))) % 6.51/6.70 (assume @p2555 (forall @t1498 (not (forall @t396 (not (= @t261 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3655 (tptp.hAPP (tptp.hAPP @t3431 @t3708) @t3450))))))))) % 6.51/6.70 (assume @p2556 (forall @t3707 (= (tptp.hAPP (tptp.hAPP @t855 @t2284) (tptp.hAPP (tptp.hAPP @t3710 (tptp.hAPP (tptp.hAPP @t2024 @t3709) (tptp.hAPP (tptp.hAPP @t2027 @t855) @t60))) @t3677)) (tptp.hAPP @t1158 (tptp.hAPP @t3709 (tptp.hAPP @t3709 (tptp.hAPP (tptp.hAPP @t855 @t3706) @t60))))))) % 6.51/6.70 (assume @p2557 (forall (@list @t281 @t60 @t13 @t8) (=> @t1033 (= (tptp.hAPP @t1068 (tptp.hAPP (tptp.hAPP @t3713 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t8 tptp.tc_Nat_Onat) @t697) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t8 @t8) (tptp.hAPP (tptp.hAPP @t3712 @t754) @t2177)) @t60))) @t3677)) (tptp.hAPP @t3711 (tptp.hAPP @t697 (tptp.hAPP @t697 (tptp.hAPP (tptp.hAPP @t754 (tptp.hAPP @t2177 @t3706)) @t60)))))))) % 6.51/6.70 (assume @p2558 (forall @t3718 (=> @t3341 (= (tptp.hAPP (tptp.hAPP @t3314 @t3717) @t2917) (tptp.hAPP (tptp.hAPP @t3715 (tptp.hAPP (tptp.hAPP @t3714 (tptp.hAPP (tptp.hAPP @t2968 @t3314) @t2)) @t2917)) @t51))))) % 6.51/6.70 (assume @p2559 (forall @t2971 (=> @t737 (= (tptp.hAPP (tptp.hAPP @t3715 @t3721) @t51) (tptp.hAPP (tptp.hAPP @t392 @t3717) @t3720))))) % 6.51/6.70 (assume @p2560 (forall @t2974 (=> @t1121 (= (tptp.hAPP (tptp.hAPP @t3715 @t3722) @t51) @t1082)))) % 6.51/6.70 (assume @p2561 (forall @t2959 (= @t3727 (tptp.hAPP tptp.c_Int_Onat @t3724)))) % 6.51/6.70 (assume @p2562 (forall @t2959 (= (tptp.hAPP @t2195 @t3727) @t3724))) % 6.51/6.70 (assume @p2563 (forall @t1108 (=> @t1903 (= (tptp.hAPP @t2177 (tptp.hAPP (tptp.hAPP @t3728 @t2) @t51)) (tptp.hAPP (tptp.hAPP @t3715 @t2964) @t51))))) % 6.51/6.70 (assume @p2564 (forall @t3734 (=> @t1121 (= @t3733 (tptp.hAPP (tptp.hAPP @t3729 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t210 @t273 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t75 (tptp.tc_fun @t273 @t8) @t210) @t3715) @t2410)) @t51)) @t289))))) % 6.51/6.70 (assume @p2565 (forall @t1108 (=> @t1339 (= (tptp.hAPP @t2900 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t74 tptp.tc_Int_Oint) @t2) @t51)) (tptp.hAPP (tptp.hAPP @t3715 @t2962) @t51))))) % 6.51/6.70 (assume @p2566 (forall (@list @t289 @t1 @t210 @t51 @t2 @t74 @t8) (=> @t2819 (= (tptp.hAPP @t3735 (tptp.hAPP (tptp.hAPP @t3729 @t1) @t289)) (tptp.hAPP (tptp.hAPP @t3715 (tptp.hAPP (tptp.hAPP @t3732 (tptp.hAPP @t3731 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t2414 @t2414) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1969 (tptp.tc_fun @t2414 @t2414) @t74) (tptp.c_COMBB @t8 @t8 @t210)) @t2969)) @t1))) @t289)) @t51))))) % 6.51/6.70 (assume @p2567 (forall @t3718 (=> @t2819 (= (tptp.hAPP @t3735 @t2917) (tptp.hAPP (tptp.hAPP @t3715 (tptp.hAPP @t3736 @t2917)) @t51))))) % 6.51/6.70 (assume @p2568 (forall (@list @t51 @t2 @t74 @t2917 @t8) (=> @t2819 (= (tptp.hAPP @t3737 @t3717) (tptp.hAPP (tptp.hAPP @t3715 (tptp.hAPP (tptp.hAPP @t3738 @t3737) @t2)) @t51))))) % 6.51/6.70 (assume @p2569 (forall @t2971 (=> @t1121 (= (tptp.hAPP (tptp.hAPP @t3715 @t3739) @t51) (tptp.hAPP (tptp.hAPP @t676 @t3717) @t3720))))) % 6.51/6.70 (assume @p2570 (forall @t1108 (=> @t737 (= (tptp.hAPP (tptp.hAPP @t3715 (tptp.hAPP (tptp.hAPP @t3738 @t784) @t2)) @t51) (tptp.hAPP @t784 @t3717))))) % 6.51/6.70 (assume @p2571 (forall @t2985 (=> @t1121 (= (tptp.hAPP @t3719 @t386) @t1082)))) % 6.51/6.70 (assume @p2572 (forall @t1588 (=> @t1121 (= (tptp.hAPP @t3716 @t386) @t1082)))) % 6.51/6.70 (assume @p2573 (forall @t2990 (=> @t3744 @t3743))) % 6.51/6.70 (assume @p2574 (forall @t2172 (=> @t3744 (=> @t1248 (= @t3746 @t2978))))) % 6.51/6.70 (assume @p2575 (forall @t2993 (=> @t776 (= (= (tptp.hAPP @t3726 @t244) @t1074) (forall @t7 (=> @t2992 (= @t5 @t1074))))))) % 6.51/6.70 (assume @p2576 (forall @t3001 (=> @t3744 (=> @t184 (= (tptp.hAPP (tptp.hAPP @t3740 (tptp.hAPP (tptp.hAPP @t2999 (tptp.hAPP (tptp.hAPP @t2166 @t1433) @t1)) @t1096)) @t51) (tptp.hAPP @t3747 (tptp.hAPP (tptp.hAPP @t3740 @t1096) @t51))))))) % 6.51/6.70 (assume @p2577 (forall @t243 (= @t403 (tptp.hAPP (tptp.hAPP @t3725 @t3748) @t51)))) % 6.51/6.70 (assume @p2578 (forall @t3753 (=> @t1121 (= (tptp.hAPP @t3752 (tptp.hAPP @t3751 @t282)) (tptp.hAPP @t3750 @t3645))))) % 6.51/6.70 (assume @p2579 (forall @t3755 (=> @t1121 (= (tptp.hAPP @t3752 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t587) @t585)) (tptp.hAPP @t3754 @t3645))))) % 6.51/6.70 (assume @p2580 (forall @t3753 (=> @t1121 (= (tptp.hAPP @t3752 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t665 @t282)) (tptp.hAPP @t3750 @t3533))))) % 6.51/6.70 (assume @p2581 (forall @t3755 (=> @t1121 (= (tptp.hAPP @t3752 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t587 @t585)) (tptp.hAPP @t3754 @t3533))))) % 6.51/6.70 (assume @p2582 (forall @t2996 (=> @t184 (= (= @t3727 @t1239) (exists @t7 (and @t363 (= @t5 @t1239) @t3760)))))) % 6.51/6.70 (assume @p2583 (forall @t2996 (=> @t184 (= (= @t3727 @t467) (exists @t7 (and @t363 @t2991 @t3760)))))) % 6.51/6.70 (assume @p2584 (forall @t3766 (=> @t1121 (=> @t877 (=> @t3765 (= (tptp.hAPP @t3764 @t3762) @t3761)))))) % 6.51/6.70 (assume @p2585 (forall @t3766 (=> @t737 (=> @t877 (=> @t3765 (= (tptp.hAPP (tptp.hAPP @t392 @t3761) @t3763) @t3762)))))) % 6.51/6.70 (assume @p2586 (forall (@list @t205 @t2) (=> (= @t3768 @t1074) (= (tptp.hAPP @t3767 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1239 @t205)) (tptp.hAPP @t3767 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1074 @t205)))))) % 6.51/6.70 (assume @p2587 (forall @t3022 (=> @t3744 (=> @t2151 (and (=> @t2913 (= @t3769 @t2915)) (=> @t2914 (= @t3769 @t2978))))))) % 6.51/6.70 (assume @p2588 (forall @t3022 (=> @t3744 (=> @t2151 (and (=> @t2913 (= @t3770 @t2915)) (=> @t2914 (= @t3770 @t2978))))))) % 6.51/6.70 (assume @p2589 (forall (@list @t51 @t100 @t74 @t8) (=> @t1903 (= (tptp.hAPP (tptp.hAPP @t3715 (tptp.hAPP @t2973 @t100)) @t51) (tptp.hAPP (tptp.hAPP @t754 (tptp.hAPP @t2177 @t3771)) @t100))))) % 6.51/6.70 (assume @p2590 (forall @t3773 (=> @t1121 (= (tptp.hAPP @t3752 @t3697) (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t3752 @t3677)) @t3772))))) % 6.51/6.70 (assume @p2591 (forall @t3773 (=> @t1121 (= (tptp.hAPP @t3752 (tptp.hAPP @t3610 @t282)) (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t3752 @t3611)) @t3774))))) % 6.51/6.70 (assume @p2592 (forall @t3029 (=> @t3744 (=> @t184 (=> @t353 (= @t3776 (tptp.hAPP @t3775 @t3742))))))) % 6.51/6.70 (assume @p2593 (forall (@list @t2 @t13 @t244 @t8 @t74) (=> @t3744 (=> @t776 (=> (not (tptp.hBOOL (tptp.hAPP @t298 @t244))) (= (tptp.hAPP @t3745 (tptp.hAPP @t53 @t244)) (tptp.hAPP @t3777 (tptp.hAPP @t3745 @t244)))))))) % 6.51/6.70 (assume @p2594 (forall @t2294 (=> @t3780 (=> @t184 (=> @t780 (= (tptp.hAPP @t3745 @t311) (tptp.hAPP @t3779 @t3778))))))) % 6.51/6.70 (assume @p2595 (forall (@list @t2 @t51 @t289 @t8) (=> @t361 (=> @t780 (= (tptp.hAPP @t3726 @t311) (tptp.hAPP @t3782 @t3781)))))) % 6.51/6.70 (assume @p2596 (forall (@list @t205 @t2 @t8) (=> @t1121 (=> (= @t3768 @t1082) (= (tptp.hAPP @t3752 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1239) @t205)) (tptp.hAPP @t3752 (tptp.hAPP @t3621 @t205))))))) % 6.51/6.70 (assume @p2597 (forall @t3785 (=> @t1121 (=> @t601 (= @t3763 (tptp.hAPP @t3784 (tptp.hAPP @t3752 (tptp.hAPP @t3751 @t281)))))))) % 6.51/6.70 (assume @p2598 (forall @t3785 (=> @t1121 (=> @t877 (= @t3786 (tptp.hAPP @t3784 (tptp.hAPP @t3752 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t665 @t281)))))))) % 6.51/6.70 (assume @p2599 (forall @t3032 (=> @t3744 (=> @t184 (= @t3776 @t3787))))) % 6.51/6.70 (assume @p2600 (forall (@list @t2 @t51 @t13 @t8) (and (=> @t299 (= @t3788 (tptp.hAPP @t3782 @t530))) (=> @t366 (= @t3788 @t3727))))) % 6.51/6.70 (assume @p2601 (forall @t3790 (=> @t1121 (and (=> @t656 (= @t3789 @t1082)) (=> @t671 (= @t3789 (tptp.hAPP @t3764 @t3772))))))) % 6.51/6.70 (assume @p2602 (forall @t3790 (=> @t1121 (and (=> @t3793 (= @t3792 @t1082)) (=> (not @t3793) (= @t3792 (tptp.hAPP @t3791 @t3774))))))) % 6.51/6.70 (assume @p2603 (forall (@list @t117 @t281 @t378 @t8) (=> @t1121 (=> @t877 (= (tptp.hAPP @t3794 @t3533) (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t117 @t378)) (tptp.hAPP @t3794 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t378 @t281)))))))) % 6.51/6.70 (assume @p2604 (forall (@list @t3161 @t2 @t281 @t378 @t8) (=> @t1121 (=> (tptp.hBOOL (tptp.hAPP @t876 @t3796)) (= (tptp.hAPP @t3752 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t378 @t3795)) (tptp.hAPP @t3791 (tptp.hAPP @t3752 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3796 @t3795)))))))) % 6.51/6.70 (assume @p2605 (forall @t3029 (=> @t3744 (=> @t184 (=> @t323 (= @t3742 @t3787)))))) % 6.51/6.70 (assume @p2606 (forall @t3030 (=> @t3744 (=> @t184 (=> @t299 (= @t3746 (tptp.hAPP @t3777 @t3797))))))) % 6.51/6.70 (assume @p2607 (forall @t3030 (=> @t1442 (=> @t184 @t3798)))) % 6.51/6.70 (assume @p2608 (forall @t3030 (=> @t3780 (=> @t184 (and @t3798 (=> @t366 (= @t3797 @t3746))))))) % 6.51/6.70 (assume @p2609 (forall (@list @t281 @t73 @t8) (=> @t3341 (=> (not @t738) (= (tptp.hAPP (tptp.hAPP @t3713 @t2768) @t3622) (tptp.hAPP (tptp.hAPP @t3314 (tptp.hAPP (tptp.hAPP @t392 (tptp.hAPP @t2768 @t281)) @t675)) (tptp.hAPP (tptp.hAPP @t392 @t73) @t675))))))) % 6.51/6.70 (assume @p2610 (forall @t2271 (=> @t1033 (= (tptp.hAPP @t1068 (tptp.hAPP (tptp.hAPP @t3713 @t2177) @t3649)) (tptp.hAPP @t3711 (tptp.hAPP (tptp.hAPP @t676 @t2205) @t675)))))) % 6.51/6.70 (assume @p2611 (forall @t3785 (=> @t737 (and (=> @t877 (= @t3799 (tptp.hAPP (tptp.hAPP @t392 @t3783) (tptp.hAPP @t2 @t3796)))) (=> @t924 (= @t3799 @t1082)))))) % 6.51/6.70 (assume @p2612 (forall @t2996 (=> @t3214 (= (tptp.hAPP (tptp.hAPP @t3723 @t2) @t51) (tptp.hAPP @t2195 (tptp.hAPP (tptp.hAPP @t3725 @t3213) @t51)))))) % 6.51/6.70 (assume @p2613 (forall @t3804 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t74) (=> @t361 (=> @t746 (=> (forall @t3803 (=> (tptp.hBOOL (tptp.hAPP @t1303 @t1581)) (tptp.hBOOL (tptp.hAPP @t3802 (tptp.hAPP @t2 @t1302))))) @t3801)))))) % 6.51/6.70 (assume @p2614 (forall (@list @t3805 @t2 @t51 @t8 @t74) (=> (and @t3808 (tptp.class_Rings_Osemiring__1 @t74)) (=> (forall @t1336 (=> (tptp.hBOOL (tptp.hAPP @t3807 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t818 @t3806) @t3805)))) (tptp.hBOOL (tptp.hAPP @t3800 (tptp.hAPP (tptp.hAPP @t1430 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t74) @t403)) @t3805))))))) % 6.51/6.70 (assume @p2615 (forall @t3804 (=> (and @t3744 @t3808) (=> @t361 (=> @t746 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 @t1581)) @t3809)) @t3801)))))) % 6.51/6.70 (assume @p2616 (forall @t2959 (=> @t2977 (= (tptp.hAPP @t3752 @t51) (tptp.hAPP (tptp.hAPP @t3810 @t1978) @t2264))))) % 6.51/6.70 (assume @p2617 (forall @t2996 (=> @t2977 (=> @t2466 (= @t3812 (tptp.hAPP (tptp.hAPP @t3713 @t2994) @t2463)))))) % 6.51/6.70 (assume @p2618 (forall @t243 (= @t3814 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t3068) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3068 @t3068) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3067 (tptp.tc_fun @t3068 @t3068) @t8) @t3594) @t3813)) @t3070))))) % 6.51/6.70 (assume @p2619 (forall @t3820 (= @t3819 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t3513) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3513 @t3513) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t3817 @t8) @t3515) (tptp.hAPP (tptp.hAPP @t3816 @t3815) @t1577))) @t3514))))) % 6.51/6.70 (assume @p2620 (forall (@list @t638 @t289 @t2 @t428 @t8 @t74) (=> @t3825 (=> @t3824 (=> @t3823 (=> (= @t3822 @t289) (=> @t3821 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t818 @t1887) @t289))))))))) % 6.51/6.70 (assume @p2621 (forall (@list @t638 @t2 @t428 @t8 @t74) (=> @t3825 (=> @t3824 (=> @t3823 (=> (= @t3822 @t2978) (=> @t3821 (= @t1887 @t2978)))))))) % 6.51/6.70 (assume @p2622 (forall @t3091 (= (tptp.hAPP (tptp.hAPP @t3818 @t56) @t2917) @t3514))) % 6.51/6.70 (assume @p2623 (forall @t3820 (= (= @t3514 @t3819) @t248))) % 6.51/6.70 (assume @p2624 (forall @t3820 (= (= @t3819 @t3514) @t248))) % 6.51/6.70 (assume @p2625 (forall @t243 (= @t3814 (tptp.hAPP @t3830 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 tptp.tc_HOL_Obool @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3828 (tptp.tc_fun tptp.tc_HOL_Obool @t55) @t8) (tptp.c_COMBC @t8 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t3829 tptp.c_fequal))) @t51))))) % 6.51/6.70 (assume @p2626 (forall @t150 (= (tptp.c_Relation_OId__on @t8 @t56) @t3070))) % 6.51/6.70 (assume @p2627 (forall (@list @t2917 @t51 @t73 @t8) (=> @t323 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3510 @t3831) @t3819))))) % 6.51/6.70 (assume @p2628 (forall @t331 (=> @t69 (=> @t299 (tptp.hBOOL (tptp.hAPP @t3832 @t3814)))))) % 6.51/6.70 (assume @p2629 (forall @t105 (= (tptp.hBOOL (tptp.hAPP @t3246 @t3814)) (and @t328 @t323)))) % 6.51/6.70 (assume @p2630 (forall @t3834 (= @t3833 (tptp.hAPP (tptp.hAPP @t3515 @t3831) @t3514)))) % 6.51/6.70 (assume @p2631 (forall (@list @t13 @t58 @t2917 @t51 @t8) (=> @t3839 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t3838) @t3837)) @t3836)))) % 6.51/6.70 (assume @p2632 (forall (@list @t2917 @t51 @t138 @t8) (=> @t3841 (not (forall @t7 (=> (= @t138 (tptp.hAPP @t3815 @t1305)) @t364)))))) % 6.51/6.70 (assume @p2633 (forall @t3843 (=> @t3839 (=> @t323 (=> @t327 (= (= @t3833 (tptp.hAPP (tptp.hAPP @t3818 @t471) @t2917)) @t3842)))))) % 6.51/6.70 (assume @p2634 (forall @t3844 (=> @t3839 (=> @t3835 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t3837) @t3838)))))) % 6.51/6.70 (assume @p2635 (forall @t3845 (=> @t3839 (=> @t299 (tptp.hBOOL (tptp.hAPP @t298 @t3837)))))) % 6.51/6.70 (assume @p2636 (forall @t3844 (=> @t3839 (=> @t3835 @t3846)))) % 6.51/6.70 (assume @p2637 (forall @t3851 (=> @t3839 (=> @t3841 (=> @t3850 (=> @t3849 (=> @t3848 (= @t3847 @t3842)))))))) % 6.51/6.70 (assume @p2638 (forall @t3851 (=> @t3839 (=> @t3841 (=> @t3850 (=> @t3849 (=> @t3848 (=> @t3842 @t3847)))))))) % 6.51/6.70 (assume @p2639 (forall @t3843 (=> @t3839 (= @t3842 (and @t3852 @t323 @t327))))) % 6.51/6.70 (assume @p2640 (forall @t3843 (=> @t3839 (=> @t323 (=> @t327 (= @t3852 @t3842)))))) % 6.51/6.70 (assume @p2641 (forall (@list @t51 @t58 @t13 @t2917 @t8) (=> @t3846 (=> @t3839 @t3836)))) % 6.51/6.70 (assume @p2642 (forall (@list @t13 @t2 @t74 @t2917 @t51 @t8) (=> @t3839 (=> @t3853 (=> @t299 (= (tptp.hAPP (tptp.hAPP @t2183 @t3837) @t2) @t530)))))) % 6.51/6.70 (assume @p2643 (forall (@list @t179 @t176 @t2 @t210 @t3854 @t3859 @t74 @t3857 @t3860 @t8) (=> @t3863 (=> @t3862 (=> @t3861 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t176) @t3860)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t179) @t3859)) (= (tptp.hAPP (tptp.hAPP @t3858 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t3857) (tptp.hAPP @t474 @t56))) (tptp.hAPP (tptp.hAPP @t3856 (tptp.hAPP @t2309 (tptp.hAPP @t3855 (tptp.hAPP (tptp.hAPP @t111 @t179) @t386)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t176) @t179))))))))) % 6.51/6.70 (assume @p2644 (forall (@list @t58 @t13 @t73 @t2917 @t51 @t8) (=> @t3839 (=> (tptp.hBOOL (tptp.hAPP @t283 (tptp.hAPP (tptp.hAPP @t3864 @t3837) @t3838))) @t3835)))) % 6.51/6.70 (assume @p2645 (forall @t783 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 @t18) @t3814)) (not (forall @t7 (=> @t363 (not (= @t18 @t3087)))))))) % 6.51/6.70 (assume @p2646 (forall @t905 (=> @t3867 (not (=> @t99 @t1779))))) % 6.51/6.70 (assume @p2647 (forall (@list @t8 @t289 @t73 @t51) (=> @t99 (=> @t1777 @t3867)))) % 6.51/6.70 (assume @p2648 (forall @t313 (=> @t292 (=> @t291 @t3868)))) % 6.51/6.70 (assume @p2649 (forall @t313 (=> @t3868 (not @t296)))) % 6.51/6.70 (assume @p2650 (forall @t1727 (=> (or @t776 @t1725) (tptp.hBOOL (tptp.hAPP @t182 (tptp.hAPP (tptp.hAPP @t3864 @t244) @t12)))))) % 6.51/6.70 (assume @p2651 (forall @t491 (=> @t1678 @t3873))) % 6.51/6.70 (assume @p2652 (forall @t491 (=> @t3874 @t3873))) % 6.51/6.70 (assume @p2653 (forall @t491 (=> @t1678 @t3875))) % 6.51/6.70 (assume @p2654 (forall @t491 (=> @t3874 @t3875))) % 6.51/6.70 (assume @p2655 (forall @t485 (=> @t3874 (= @t839 (= @t3877 @t73))))) % 6.51/6.70 (assume @p2656 (forall @t1718 (=> @t3874 (= (tptp.hBOOL (tptp.hAPP @t838 (tptp.hAPP (tptp.hAPP @t3869 @t100) @t261))) @t2007)))) % 6.51/6.70 (assume @p2657 (forall @t1708 (=> @t3874 (=> @t1701 @t3881)))) % 6.51/6.70 (assume @p2658 (forall @t2006 (=> @t3874 (=> @t1700 @t3881)))) % 6.51/6.70 (assume @p2659 (forall @t491 (=> @t3874 (=> @t817 (= @t3871 @t95))))) % 6.51/6.70 (assume @p2660 (forall @t827 (=> @t3874 (=> @t816 (= @t3871 @t284))))) % 6.51/6.70 (assume @p2661 (forall @t1712 (=> @t3874 (=> @t1296 (=> @t1710 @t3882))))) % 6.51/6.70 (assume @p2662 (forall @t516 (=> @t3874 (=> @t817 (=> @t828 (tptp.hBOOL (tptp.hAPP @t778 @t3884))))))) % 6.51/6.70 (assume @p2663 (forall @t1707 (=> @t3874 (=> @t834 (=> @t1706 (tptp.hBOOL (tptp.hAPP @t3880 (tptp.hAPP (tptp.hAPP @t3869 @t333) @t715)))))))) % 6.51/6.70 (assume @p2664 (forall @t1712 (=> @t3874 (=> @t3882 @t2002)))) % 6.51/6.70 (assume @p2665 (forall @t316 (tptp.hBOOL (tptp.hAPP @t3885 @t51)))) % 6.51/6.70 (assume @p2666 (forall @t316 (tptp.hBOOL (tptp.hAPP @t3885 @t289)))) % 6.51/6.70 (assume @p2667 (forall @t316 (=> @t746 (= @t3866 @t51)))) % 6.51/6.70 (assume @p2668 (forall @t362 (=> @t780 (= @t3866 @t289)))) % 6.51/6.70 (assume @p2669 (forall @t3887 (=> @t3886 (=> (tptp.hBOOL (tptp.hAPP @t916 @t289)) (tptp.hBOOL (tptp.hAPP @t916 @t3866)))))) % 6.51/6.70 (assume @p2670 (forall @t1731 (=> @t835 (=> @t1730 (tptp.hBOOL (tptp.hAPP @t3885 (tptp.hAPP @t3888 @t454))))))) % 6.51/6.70 (assume @p2671 (forall @t313 (=> @t3868 @t291))) % 6.51/6.70 (assume @p2672 (forall @t313 (=> @t3868 @t292))) % 6.51/6.70 (assume @p2673 (forall @t313 (= @t3868 (and @t292 @t291)))) % 6.51/6.70 (assume @p2674 (forall @t724 (= (tptp.hAPP (tptp.hAPP @t1662 (tptp.hAPP @t3894 @t3893)) @t3891) (tptp.hAPP (tptp.hAPP @t3864 (tptp.hAPP @t3890 @t1671)) @t3889)))) % 6.51/6.70 (assume @p2675 (forall @t3895 (= (tptp.hAPP (tptp.hAPP @t1662 @t3893) @t51) (tptp.hAPP (tptp.hAPP @t3864 @t1674) @t3889)))) % 6.51/6.70 (assume @p2676 (forall @t3895 (= (tptp.hAPP (tptp.hAPP @t3864 @t1671) @t51) (tptp.hAPP (tptp.hAPP @t1662 @t3896) @t3891)))) % 6.51/6.70 (assume @p2677 (forall @t724 (= (tptp.hAPP @t1663 @t3893) (tptp.hAPP @t3890 @t1673)))) % 6.51/6.70 (assume @p2678 (forall @t724 (= @t3898 (tptp.hAPP @t3894 @t3897)))) % 6.51/6.70 (assume @p2679 (forall @t2093 (=> @t3899 (= (tptp.hAPP (tptp.hAPP @t1677 @t3884) @t95) (tptp.hAPP (tptp.hAPP @t3869 @t1694) (tptp.hAPP (tptp.hAPP @t1677 @t513) @t95)))))) % 6.51/6.70 (assume @p2680 (forall @t2093 (=> @t3899 (= (tptp.hAPP (tptp.hAPP @t3869 @t1681) @t95) (tptp.hAPP (tptp.hAPP @t1677 @t3900) (tptp.hAPP (tptp.hAPP @t3869 @t513) @t95)))))) % 6.51/6.70 (assume @p2681 (forall @t516 (=> @t3899 (= @t3902 @t3901)))) % 6.51/6.70 (assume @p2682 (forall @t516 (=> @t3899 (= @t3905 @t3904)))) % 6.51/6.70 (assume @p2683 (forall @t491 (=> @t1678 (= (tptp.hAPP @t1682 @t3871) @t95)))) % 6.51/6.70 (assume @p2684 (forall @t491 (=> @t1678 (= (tptp.hAPP @t3870 @t1684) @t95)))) % 6.51/6.70 (assume @p2685 (forall @t97 (=> @t1723 (= (tptp.hAPP (tptp.hAPP @t3869 @t72) @t95) @t72)))) % 6.51/6.70 (assume @p2686 (forall @t97 (=> @t1723 (= (tptp.hAPP @t3870 @t72) @t72)))) % 6.51/6.70 (assume @p2687 (forall @t1724 (= (tptp.hAPP (tptp.hAPP @t3864 @t56) @t289) @t56))) % 6.51/6.70 (assume @p2688 (forall @t243 (= (tptp.hAPP @t3865 @t56) @t56))) % 6.51/6.70 (assume @p2689 (forall @t316 (= @t3906 (forall @t7 (=> @t363 (forall @t2329 (=> (tptp.hBOOL (tptp.hAPP @t2328 @t289)) @t3758))))))) % 6.51/6.70 (assume @p2690 (forall @t1795 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3864 @t1794) @t1793) @t73)) (tptp.hBOOL (tptp.hAPP @t283 (tptp.hAPP (tptp.hAPP @t3864 @t201) @t1791)))))) % 6.51/6.70 (assume @p2691 (forall (@list @t289 @t51 @t378 @t74 @t8) (= (tptp.c_Map_Orestrict__map @t8 @t74 @t525 @t289) (tptp.c_Map_Orestrict__map @t8 @t74 @t378 @t3866)))) % 6.51/6.70 (assume @p2692 (forall @t150 (=> (and @t3874 @t484) (= @t3869 @t1988)))) % 6.51/6.70 (assume @p2693 (forall @t1679 (=> @t1678 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t75) @t2) @t1) @t73) (tptp.hAPP (tptp.hAPP @t3869 @t115) @t253))))) % 6.51/6.70 (assume @p2694 (forall @t905 (=> @t3867 @t1777))) % 6.51/6.70 (assume @p2695 (forall @t905 (=> @t3867 @t99))) % 6.51/6.70 (assume @p2696 (forall @t97 (=> @t1678 @t3907))) % 6.51/6.70 (assume @p2697 (forall @t724 (= (tptp.hAPP (tptp.hAPP @t3864 @t3866) @t721) @t3908))) % 6.51/6.70 (assume @p2698 (forall @t724 (= @t3908 (tptp.hAPP @t3892 @t3897)))) % 6.51/6.70 (assume @p2699 (forall @t316 (= (tptp.hAPP @t3865 @t3866) @t3866))) % 6.51/6.70 (assume @p2700 (forall @t316 (= @t3866 @t3896))) % 6.51/6.70 (assume @p2701 (forall @t243 (= (tptp.hAPP @t3865 @t51) @t51))) % 6.51/6.70 (assume @p2702 (forall @t516 (=> @t3874 @t3910))) % 6.51/6.70 (assume @p2703 (forall @t516 (=> @t1678 @t3910))) % 6.51/6.70 (assume @p2704 (forall @t508 (=> @t3874 (= (tptp.hAPP (tptp.hAPP @t3869 @t3879) @t333) @t3912)))) % 6.51/6.70 (assume @p2705 (forall @t516 (=> @t3874 @t3913))) % 6.51/6.70 (assume @p2706 (forall @t516 (=> @t1678 @t3913))) % 6.51/6.70 (assume @p2707 (forall @t512 (=> @t3874 (= (tptp.hAPP @t3911 (tptp.hAPP @t3878 @t333)) @t3912)))) % 6.51/6.70 (assume @p2708 (forall @t491 (=> @t3874 @t3914))) % 6.51/6.70 (assume @p2709 (forall @t491 (=> @t1678 @t3914))) % 6.51/6.70 (assume @p2710 (forall @t502 (=> @t3874 (= (tptp.hAPP @t3878 @t3879) @t3879)))) % 6.51/6.70 (assume @p2711 (forall @t491 (=> @t3874 @t3915))) % 6.51/6.70 (assume @p2712 (forall @t491 (=> @t1678 @t3915))) % 6.51/6.70 (assume @p2713 (forall @t502 (=> @t3874 (= @t3879 (tptp.hAPP @t3911 @t348))))) % 6.51/6.70 (assume @p2714 (forall @t97 (=> @t3874 @t3907))) % 6.51/6.70 (assume @p2715 (forall @t680 (=> @t3874 (= (tptp.hAPP @t3878 @t348) @t348)))) % 6.51/6.70 (assume @p2716 (forall @t1708 (=> @t3874 (=> @t2017 @t3916)))) % 6.51/6.70 (assume @p2717 (forall @t2006 (=> @t3874 (=> @t2016 @t3916)))) % 6.51/6.70 (assume @p2718 (forall @t1732 (= @t3918 (tptp.hAPP @t3917 @t289)))) % 6.51/6.70 (assume @p2719 (forall @t724 (= (tptp.hAPP @t3919 @t721) @t3918))) % 6.51/6.70 (assume @p2720 (forall @t724 (= (tptp.hAPP (tptp.hAPP @t309 @t3866) @t721) (tptp.hAPP @t3865 @t1738)))) % 6.51/6.70 (assume @p2721 (forall @t3887 (= (tptp.hAPP @t3888 @t311) (tptp.hAPP (tptp.hAPP @t309 @t3891) (tptp.hAPP @t3888 @t289))))) % 6.51/6.70 (assume @p2722 (forall @t2267 (=> @t2466 (=> @t2465 (tptp.c_Nat__Transfer_Onat__set @t3921))))) % 6.51/6.70 (assume @p2723 (forall @t316 (= (tptp.hAPP @t3500 @t3866) (tptp.hAPP (tptp.hAPP @t3922 @t3501) @t3509)))) % 6.51/6.70 (assume @p2724 (forall @t3924 (= (tptp.hAPP (tptp.hAPP @t3864 @t54) @t367) @t3923))) % 6.51/6.70 (assume @p2725 (forall @t3932 (= (tptp.hAPP (tptp.hAPP @t3864 @t2386) (tptp.hAPP @t3930 @t289)) (tptp.hAPP @t2385 (tptp.hAPP (tptp.hAPP @t3931 @t3930) (tptp.hAPP (tptp.hAPP @t3928 (tptp.hAPP @t3927 @t3925)) @t289)))))) % 6.51/6.70 (assume @p2726 (forall @t2425 (= @t3934 @t3933))) % 6.51/6.70 (assume @p2727 (forall @t3936 (= (tptp.hAPP @t3892 @t2386) (tptp.hAPP @t2385 (tptp.hAPP (tptp.hAPP @t3935 @t3892) @t51))))) % 6.51/6.70 (assume @p2728 (forall @t3939 (= @t3938 @t3937))) % 6.51/6.70 (assume @p2729 (forall @t2426 (= @t3933 @t3934))) % 6.51/6.70 (assume @p2730 (forall @t2426 (= @t3937 @t3938))) % 6.51/6.70 (assume @p2731 (forall @t516 (=> @t1678 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3902) @t3901))))) % 6.51/6.70 (assume @p2732 (forall @t516 (=> @t1678 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3904) @t3905))))) % 6.51/6.70 (assume @p2733 (forall @t97 (=> @t848 (= (tptp.hAPP @t3870 @t846) @t72)))) % 6.51/6.70 (assume @p2734 (forall @t97 (=> @t848 (= (tptp.hAPP @t3940 @t95) @t72)))) % 6.51/6.70 (assume @p2735 (forall @t491 (=> @t848 (= @t1029 (tptp.hAPP @t3870 @t847))))) % 6.51/6.70 (assume @p2736 (forall @t491 (=> @t848 (= (tptp.hAPP @t784 @t3871) (tptp.hAPP @t3941 @t847))))) % 6.51/6.70 (assume @p2737 (forall @t491 (=> @t848 (= (tptp.hAPP @t784 @t1684) (tptp.hAPP @t3940 @t847))))) % 6.51/6.70 (assume @p2738 (forall @t3924 (and @t3944 @t3943))) % 6.51/6.70 (assume @p2739 (forall @t3949 (and @t3948 @t3947))) % 6.51/6.70 (assume @p2740 (forall @t3924 @t3943)) % 6.51/6.70 (assume @p2741 (forall @t3949 @t3947)) % 6.51/6.70 (assume @p2742 (forall @t3924 @t3944)) % 6.51/6.70 (assume @p2743 (forall @t3949 @t3948)) % 6.51/6.70 (assume @p2744 (forall @t1163 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP @t1093 @t3952)) (tptp.hAPP (tptp.hAPP @t3864 @t1094) @t1109))))) % 6.51/6.70 (assume @p2745 (forall @t316 (= (tptp.hAPP @t3865 @t1581) @t56))) % 6.51/6.70 (assume @p2746 (forall @t316 (=> @t3906 (= @t311 @t51)))) % 6.51/6.70 (assume @p2747 (forall @t724 (= (= (tptp.hAPP @t3894 @t721) @t3898) @t3886))) % 6.51/6.70 (assume @p2748 (forall @t316 (= (tptp.hAPP @t3953 @t3866) @t51))) % 6.51/6.70 (assume @p2749 (forall @t724 (= (tptp.hAPP @t310 @t1671) (tptp.hAPP @t3919 @t1739)))) % 6.51/6.70 (assume @p2750 (forall @t724 (= (tptp.hAPP @t310 @t3893) (tptp.hAPP @t3953 @t1739)))) % 6.51/6.70 (assume @p2751 (forall @t3020 (=> @t497 (= (tptp.hAPP @t3954 @t3632) @t56)))) % 6.51/6.70 (assume @p2752 (forall @t2267 (= (tptp.hAPP (tptp.hAPP @t3955 @t51) @t289) (tptp.hAPP @t1899 (tptp.hAPP (tptp.hAPP @t3920 @t2264) @t2263))))) % 6.51/6.70 (assume @p2753 (forall @t243 (= (tptp.hAPP @t3956 @t51) @t56))) % 6.51/6.70 (assume @p2754 (forall @t243 (= (tptp.hAPP @t3865 @t781) @t56))) % 6.51/6.70 (assume @p2755 (forall @t3959 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t3958) @t3957)))) % 6.51/6.70 (assume @p2756 (forall @t316 (= (tptp.hAPP @t749 @t1664) (tptp.hAPP @t3956 @t843)))) % 6.51/6.70 (assume @p2757 (forall @t316 (= (tptp.hAPP @t749 @t3866) (tptp.hAPP @t1756 @t843)))) % 6.51/6.70 (assume @p2758 (forall @t316 (= (tptp.hAPP @t310 @t843) @t3866))) % 6.51/6.70 (assume @p2759 (forall @t316 (= @t311 (tptp.hAPP @t3865 @t843)))) % 6.51/6.70 (assume @p2760 (forall @t3020 (=> @t497 (= (tptp.hAPP @t3960 @t3015) @t56)))) % 6.51/6.70 (assume @p2761 (forall (@list @t51 @t378 @t74 @t8) (= (tptp.c_Map_Odom @t8 @t74 @t525) (tptp.hAPP (tptp.hAPP @t3864 @t380) @t51)))) % 6.51/6.70 (assume @p2762 (forall @t316 (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t3814) @t289) @t3866))) % 6.51/6.70 (assume @p2763 (forall @t2267 (=> @t2466 (=> @t2465 (= @t3921 (tptp.hAPP @t2262 (tptp.hAPP (tptp.hAPP @t3955 @t2463) @t2462))))))) % 6.51/6.70 (assume @p2764 (forall (@list @t13 @t2 @t3854 @t210 @t74 @t3857 @t51 @t8) (=> (tptp.c_Equiv__Relations_Oequiv @t8 @t51 @t3857) (=> @t3961 (=> @t299 (tptp.c_Equiv__Relations_Ocongruent @t74 @t210 @t3854 @t530)))))) % 6.51/6.70 (assume @p2765 (forall @t1776 (=> @t3874 (=> @t184 (= (tptp.hAPP @t3963 @t54) (tptp.hAPP @t3965 @t3964)))))) % 6.51/6.70 (assume @p2766 (forall @t185 (=> @t1678 (=> @t184 (=> @t299 (= (tptp.hAPP @t3965 @t1817) @t13)))))) % 6.51/6.70 (assume @p2767 (forall @t316 (= @t3906 (tptp.hBOOL (tptp.hAPP @t745 @t843))))) % 6.51/6.70 (assume @p2768 (forall @t3020 (=> @t497 (= (tptp.hAPP @t3954 @t3503) @t56)))) % 6.51/6.70 (assume @p2769 (forall @t68 (=> @t484 (= (tptp.hAPP @t3969 @t3542) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t3968 @t3967))))) % 6.51/6.70 (assume @p2770 (forall @t68 (=> @t484 (= (tptp.hAPP (tptp.hAPP @t3864 @t3616) @t3615) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t3968) @t3967))))) % 6.51/6.70 (assume @p2771 (forall @t2899 (=> @t497 (= (tptp.hAPP @t3970 @t3545) @t56)))) % 6.51/6.70 (assume @p2772 (forall @t2899 (=> @t497 (= (tptp.hAPP @t3970 @t3631) @t56)))) % 6.51/6.70 (assume @p2773 (forall @t3020 (=> @t497 (= (tptp.hAPP @t3971 @t3015) @t56)))) % 6.51/6.70 (assume @p2774 (forall @t3020 (=> @t497 (= (tptp.hAPP @t3972 @t3503) @t56)))) % 6.51/6.70 (assume @p2775 (forall @t3020 (=> @t497 (= (tptp.hAPP @t3971 @t3035) @t56)))) % 6.51/6.70 (assume @p2776 (forall @t68 (=> @t484 (= (tptp.hAPP (tptp.hAPP @t3864 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t13 @t58)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t18 @t60)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t3968 @t3967))))) % 6.51/6.70 (assume @p2777 (forall @t3020 (=> @t497 (= (tptp.hAPP @t3972 @t3632) @t56)))) % 6.51/6.70 (assume @p2778 (forall @t68 (=> @t484 (= (tptp.hAPP (tptp.hAPP @t3864 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t13 @t58)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t18 @t60)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t3968 @t3967))))) % 6.51/6.70 (assume @p2779 (forall (@list @t60 @t58 @t13 @t8) (=> @t484 (= (tptp.hAPP @t3969 (tptp.hAPP @t3618 @t60)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t3967))))) % 6.51/6.70 (assume @p2780 (forall (@list @t60 @t18 @t58 @t8) (=> @t484 (= (tptp.hAPP (tptp.hAPP @t3864 (tptp.hAPP @t3618 @t58)) @t3542) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t18 @t3967))))) % 6.51/6.70 (assume @p2781 (forall (@list @t206 @t203 @t74 @t8) (=> (= (tptp.hAPP (tptp.hAPP @t3864 (tptp.c_Map_Odom @t8 @t74 @t203)) (tptp.c_Map_Odom @t8 @t74 @t206)) @t56) (= @t814 (tptp.c_Map_Omap__add @t8 @t74 @t206 @t203))))) % 6.51/6.70 (assume @p2782 (forall @t2899 (=> @t497 (= (tptp.hAPP @t3973 @t2893) @t56)))) % 6.51/6.70 (assume @p2783 (forall @t3020 (=> @t497 (= (tptp.hAPP @t3960 @t3035) @t56)))) % 6.51/6.70 (assume @p2784 (forall @t2899 (=> @t497 (= (tptp.hAPP @t3973 @t2895) @t56)))) % 6.51/6.70 (assume @p2785 (forall @t999 (=> @t390 (=> @t260 (=> @t765 (= (tptp.hAPP (tptp.hAPP @t2 @t1758) (tptp.hAPP @t244 @t3952)) @t1757)))))) % 6.51/6.70 (assume @p2786 (forall @t1775 (=> @t3874 (=> @t184 (=> @t299 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3964) @t3974))))))) % 6.51/6.70 (assume @p2787 (forall @t185 (=> @t3874 (=> @t184 (=> @t299 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t3975) @t13))))))) % 6.51/6.70 (assume @p2788 (forall @t406 (=> @t3874 (=> @t184 (=> @t249 (= (tptp.hBOOL (tptp.hAPP @t838 @t3975)) @t2046)))))) % 6.51/6.70 (assume @p2789 (forall @t3978 (=> @t3744 (=> @t184 (=> @t361 (= (tptp.hAPP (tptp.hAPP @t1433 @t3977) (tptp.hAPP @t3741 @t3866)) @t3976)))))) % 6.51/6.70 (assume @p2790 (forall @t3978 (=> @t2916 (=> @t184 (=> @t361 (= (tptp.hAPP (tptp.hAPP @t1430 @t3980) (tptp.hAPP @t2987 @t3866)) @t3979)))))) % 6.51/6.70 (assume @p2791 (forall @t316 (=> @t184 (=> @t361 (= @t3984 @t3983))))) % 6.51/6.70 (assume @p2792 (forall @t316 (=> @t184 (=> @t361 (= @t3983 @t3984))))) % 6.51/6.70 (assume @p2793 (forall @t316 (=> (tptp.hBOOL (tptp.hAPP @t182 @t3866)) (= @t543 (tptp.hAPP @t469 @t3981))))) % 6.51/6.70 (assume @p2794 (forall @t3988 (=> @t3744 (=> @t184 (= @t3987 @t3986))))) % 6.51/6.70 (assume @p2795 (forall (@list @t1460 @t138 @t2917 @t51 @t8) (=> @t3839 (=> @t3841 (=> @t3850 (or @t3847 (= (tptp.hAPP (tptp.hAPP @t3864 @t138) @t1460) @t56))))))) % 6.51/6.70 (assume @p2796 (forall @t999 (=> @t390 (=> @t260 (=> @t765 (=> (= @t3952 @t386) @t1759)))))) % 6.51/6.70 (assume @p2797 (forall @t1007 (=> @t264 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (=> @t3906 @t1763)))))))) % 6.51/6.70 (assume @p2798 (forall @t1007 (=> @t264 (=> @t184 (=> @t361 (=> @t3990 (= (tptp.hAPP (tptp.hAPP @t2 @t1762) @t3989) @t1757))))))) % 6.51/6.70 (assume @p2799 (forall @t3978 (=> @t3744 (=> @t184 (=> @t361 (=> @t3906 @t3991)))))) % 6.51/6.70 (assume @p2800 (forall @t2294 (=> @t3780 (=> @t184 (=> @t361 (= (tptp.hAPP @t3745 @t1664) (tptp.hAPP (tptp.hAPP @t1441 (tptp.hAPP (tptp.hAPP @t1433 @t3746) @t3778)) @t3987))))))) % 6.51/6.70 (assume @p2801 (forall @t3978 (=> @t2916 (=> @t184 (=> @t361 (=> @t3906 @t3992)))))) % 6.51/6.70 (assume @p2802 (forall @t316 (=> @t184 (=> @t361 (=> @t3906 @t3993))))) % 6.51/6.70 (assume @p2803 (forall @t316 (=> @t757 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (=> @t3906 @t1764)))))))) % 6.51/6.70 (assume @p2804 (forall @t316 (=> @t1678 (=> @t184 (=> @t361 (=> @t3990 (= (tptp.hAPP (tptp.hAPP @t1677 @t1856) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t3866)) @t1855))))))) % 6.51/6.70 (assume @p2805 (forall @t316 (=> @t1678 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (=> @t3906 @t1857)))))))) % 6.51/6.70 (assume @p2806 (forall @t316 (=> @t484 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (=> @t3906 @t2119)))))))) % 6.51/6.70 (assume @p2807 (forall @t316 (=> @t484 (=> @t184 (=> @t361 (=> @t3990 (= (tptp.hAPP (tptp.hAPP @t1988 @t2118) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t3866)) @t2117))))))) % 6.51/6.70 (assume @p2808 (forall @t316 (=> @t484 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (=> @t3906 @t2146)))))))) % 6.51/6.70 (assume @p2809 (forall @t316 (=> @t484 (=> @t184 (=> @t361 (=> @t3990 (= (tptp.hAPP (tptp.hAPP @t2069 @t2145) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t3866)) @t2144))))))) % 6.51/6.70 (assume @p2810 (forall @t316 (=> @t484 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (=> @t3906 @t2107)))))))) % 6.51/6.70 (assume @p2811 (forall @t316 (=> @t484 (=> @t184 (=> @t361 (=> @t3990 (= (tptp.hAPP (tptp.hAPP @t1988 @t2106) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 @t3866)) @t2105))))))) % 6.51/6.70 (assume @p2812 (forall @t316 (=> @t484 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (=> @t3906 @t2138)))))))) % 6.51/6.70 (assume @p2813 (forall @t316 (=> @t484 (=> @t184 (=> @t361 (=> @t3990 (= (tptp.hAPP (tptp.hAPP @t2069 @t2137) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 @t3866)) @t2136))))))) % 6.51/6.70 (assume @p2814 (forall (@list @t3994 @t3996 @t3995 @t3997 @t2 @t3854 @t3857 @t210 @t74 @t8) (=> @t3961 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3085 @t3997) @t3995)) @t3857)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3286 (tptp.hAPP (tptp.hAPP @t3284 @t3996) @t3994)) @t3854)) (= (tptp.hAPP (tptp.hAPP @t2 @t3997) @t3996) (tptp.hAPP (tptp.hAPP @t2 @t3995) @t3994))))))) % 6.51/6.70 (assume @p2815 (forall (@list @t2 @t289 @t51 @t8) (=> @t184 (=> @t361 (= (tptp.hAPP @t3726 @t1664) (tptp.hAPP (tptp.hAPP @t468 (tptp.hAPP (tptp.hAPP @t553 @t3727) @t3781)) (tptp.hAPP @t3726 @t3866))))))) % 6.51/6.70 (assume @p2816 (forall (@list @t261 @t100 @t2 @t2917 @t74 @t8) (=> @t4000 (=> (tptp.hBOOL (tptp.hAPP @t3999 @t2917)) (= @t1676 @t534))))) % 6.51/6.70 (assume @p2817 (forall (@list @t13 @t2 @t210 @t3854 @t3859 @t74 @t3857 @t3860 @t8) (=> @t3863 (=> @t3862 (=> @t3861 (=> (tptp.hBOOL (tptp.hAPP @t381 @t3859)) (tptp.c_Equiv__Relations_Ocongruent @t8 @t2190 @t3857 (tptp.hAPP (tptp.hAPP @t3856 (tptp.hAPP @t2309 (tptp.hAPP @t3855 @t2446))) @t2)))))))) % 6.51/6.70 (assume @p2818 (forall (@list @t1460 @t138 @t2 @t74 @t2917 @t51 @t8) (=> @t3839 (=> @t3853 (=> (= @t4007 (tptp.hAPP (tptp.hAPP @t2183 @t1460) @t2)) (=> @t3841 (=> @t3850 (=> (forall @t7 (=> @t363 (forall @t45 (=> @t4006 (=> @t4004 @t4002))))) @t3847)))))))) % 6.51/6.70 (assume @p2819 (forall (@list @t289 @t4008 @t4009 @t2 @t210 @t3854 @t3859 @t74 @t3857 @t3860 @t8) (=> @t3863 (=> @t3862 (=> @t3861 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3510 @t4009) (tptp.hAPP (tptp.hAPP @t3818 @t3860) @t3857))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4012 @t4008) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t74) @t3859) @t3854))) (=> (forall @t1918 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t1916) @t3860)) (forall (@list @t4011) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t4011) @t3859)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4010 (tptp.hAPP (tptp.hAPP @t2 @t1916) @t4011)) @t289)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4010 (tptp.hAPP (tptp.hAPP @t3858 @t4009) (tptp.hAPP (tptp.hAPP @t3856 (tptp.hAPP @t2309 @t4008)) @t2))) @t289)))))))))) % 6.51/6.70 (assume @p2820 (forall (@list @t289 @t138 @t2 @t74 @t2917 @t51 @t8) (=> @t3839 (=> @t3853 (=> @t3841 (=> (forall @t7 (=> @t363 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4012 @t5) @t289)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4012 @t4007) @t289)))))))) % 6.51/6.70 (assume @p2821 (forall @t316 (=> @t184 (=> @t361 (=> (=> (exists @t7 @t4013) @t1353) @t3993))))) % 6.51/6.70 (assume @p2822 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t1984)) % 6.51/6.70 (assume @p2823 (forall @t2946 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4015 @t2943) @t2942) @t73) @t100)) (tptp.hBOOL (tptp.hAPP @t2937 (tptp.hAPP (tptp.hAPP @t4014 @t201) @t1791)))))) % 6.51/6.70 (assume @p2824 (forall @t2294 (=> @t3301 (=> @t184 (=> @t361 (=> (forall @t7 (=> @t4013 (not @t2979))) (= (tptp.hAPP @t2981 @t1664) (tptp.hAPP (tptp.hAPP @t3299 (tptp.hAPP (tptp.hAPP @t1430 @t2982) @t4016)) (tptp.hAPP @t2981 @t3866))))))))) % 6.51/6.70 (assume @p2825 (forall @t4020 (=> @t2916 (=> @t2151 (=> @t3494 (=> @t4019 (= (tptp.hAPP @t2981 @t4017) (tptp.hAPP (tptp.hAPP @t1430 @t3489) @t3488)))))))) % 6.51/6.70 (assume @p2826 (forall @t3978 (=> @t2916 (=> @t184 (=> @t361 (=> (forall @t7 (=> @t4013 (= @t4 @t2986))) @t3992)))))) % 6.51/6.70 (assume @p2827 (forall @t3065 (=> @t4021 (not (=> @t3063 @t3066))))) % 6.51/6.70 (assume @p2828 (forall (@list @t74 @t8 @t289 @t100 @t73 @t51) (=> @t3063 (=> @t3062 @t4021)))) % 6.51/6.70 (assume @p2829 (forall @t3065 (=> @t4021 @t3062))) % 6.51/6.70 (assume @p2830 (forall @t3065 (=> @t4021 @t3063))) % 6.51/6.70 (assume @p2831 (forall @t3978 (=> @t3744 (=> @t184 (=> @t361 (=> (forall @t7 (=> @t4013 (= @t4 @t2978))) @t3991)))))) % 6.51/6.70 (assume @p2832 (forall @t4020 (=> @t3744 (=> @t2151 (=> @t3494 (=> (forall @t7 (=> @t4018 @t2979)) (= (tptp.hAPP @t3745 @t4017) (tptp.hAPP (tptp.hAPP @t1433 @t4023) @t4022)))))))) % 6.51/6.70 (assume @p2833 (forall @t406 (=> @t1678 (=> @t184 (=> @t323 (and (=> @t359 (= @t4025 @t73)) (=> @t360 (= @t4025 @t4024)))))))) % 6.51/6.70 (assume @p2834 (forall @t89 (=> @t1678 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t86) @t73)))) % 6.51/6.70 (assume @p2835 (forall @t185 (=> @t1678 (=> @t184 (=> @t299 (= (tptp.hAPP @t1773 @t4025) @t13)))))) % 6.51/6.70 (assume @p2836 (forall @t406 (=> @t1678 (=> @t184 (=> @t323 (= @t4026 @t4025)))))) % 6.51/6.70 (assume @p2837 (forall @t243 (=> @t1678 (=> @t184 (= @t4025 @t3975))))) % 6.51/6.70 (assume @p2838 (forall @t406 (=> @t1678 (=> @t184 @t4028)))) % 6.51/6.70 (assume @p2839 (forall @t316 (=> @t1678 (=> @t184 (=> @t1006 (=> @t780 (= (tptp.hAPP (tptp.hAPP @t3869 @t4029) @t4025) @t4025))))))) % 6.51/6.70 (assume @p2840 (forall @t316 (=> @t1678 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 @t4032))))))) % 6.51/6.70 (assume @p2841 (forall @t243 (=> @t1678 (=> @t184 (=> @t249 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t4025) @t1817))))))) % 6.51/6.70 (assume @p2842 (forall @t185 (=> @t1678 (=> @t184 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t54) (tptp.hAPP (tptp.hAPP @t3962 @t13) @t51)))))) % 6.51/6.70 (assume @p2843 (forall @t406 (=> @t1678 (=> @t184 (=> @t353 @t4028))))) % 6.51/6.70 (assume @p2844 (forall @t406 (=> @t1678 (=> @t184 (and (=> @t359 (= @t4027 @t73)) (=> @t360 (= @t4027 @t4024))))))) % 6.51/6.70 (assume @p2845 (forall @t316 (=> @t1678 (=> @t184 (=> @t361 (=> @t3990 (= (tptp.hAPP (tptp.hAPP @t3869 @t4031) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t3866)) @t4030))))))) % 6.51/6.70 (assume @p2846 (forall @t316 (=> @t1678 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (=> @t3906 @t4032)))))))) % 6.51/6.70 (assume @p2847 (forall @t406 (=> @t1678 (=> @t184 (=> @t353 (= @t4027 (tptp.hAPP (tptp.hAPP @t3962 @t73) @t51))))))) % 6.51/6.70 (assume @p2848 (forall @t243 (=> @t1678 (=> @t184 (=> @t249 (=> (forall @t396 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t4033) @t394))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t4025) @t51)))))))) % 6.51/6.70 (assume @p2849 (forall @t3820 (=> @t184 (=> @t4034 (= (tptp.hAPP @t3502 @t3819) @t403))))) % 6.51/6.70 (assume @p2850 (forall @t3978 (=> @t2916 (=> @t184 (=> @t361 (=> @t3906 (= @t4041 @t4040))))))) % 6.51/6.70 (assume @p2851 (forall @t1588 (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t56))) % 6.51/6.70 (assume @p2852 (forall @t243 (=> @t694 (tptp.c_Fun_Oinj__on @t8 @t8 @t784 @t51)))) % 6.51/6.70 (assume @p2853 (forall @t4044 (=> @t4043 (=> @t746 @t4042)))) % 6.51/6.70 (assume @p2854 (forall @t4046 (=> @t4042 (=> @t4045 (=> @t323 (=> @t327 @t328)))))) % 6.51/6.70 (assume @p2855 (forall @t4046 (=> @t4042 (=> @t323 (=> @t327 @t4047))))) % 6.51/6.70 (assume @p2856 (forall @t4046 (=> @t4042 (=> @t483 (=> @t323 (=> @t327 @t4048)))))) % 6.51/6.70 (assume @p2857 (forall (@list @t261 @t1 @t2 @t74 @t8) (= (tptp.hAPP @t4050 @t386) @t261))) % 6.51/6.70 (assume @p2858 (forall @t243 (tptp.c_Fun_Oinj__on @t8 @t8 @t1505 @t51))) % 6.51/6.70 (assume @p2859 (forall @t1108 (= @t4042 (forall @t7 (=> @t363 (forall @t2329 (=> @t3759 (=> (= @t5 @t3756) @t3757)))))))) % 6.51/6.70 (assume @p2860 (forall @t1163 (=> @t4042 (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t311)))) % 6.51/6.70 (assume @p2861 (forall @t1163 (=> @t4042 (=> @t4043 (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t3866))))) % 6.51/6.70 (assume @p2862 (forall @t4052 (= @t4049 (tptp.c_Finite__Set_Ofold @t74 @t8 @t4051)))) % 6.51/6.70 (assume @p2863 (forall @t1108 (=> (tptp.hBOOL (tptp.hAPP @t182 @t1094)) (=> @t4053 @t260)))) % 6.51/6.70 (assume @p2864 (forall @t1163 (=> @t4055 @t4054))) % 6.51/6.70 (assume @p2865 (forall @t1108 (=> @t4042 @t4056))) % 6.51/6.70 (assume @p2866 (forall @t4044 (=> @t4043 (=> @t629 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t273) @t1089) @t1112)))))) % 6.51/6.70 (assume @p2867 (forall (@list @t51 @t244 @t1 @t261 @t2 @t74 @t8) (=> @t390 (=> @t260 (= @t245 @t4057))))) % 6.51/6.70 (assume @p2868 (forall @t2996 (=> @t184 (=> (tptp.hBOOL (tptp.hAPP @t745 @t4060)) @t4058)))) % 6.51/6.70 (assume @p2869 (forall @t2996 (=> @t184 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t4060) @t51)) (=> @t4058 (= @t4060 @t51)))))) % 6.51/6.70 (assume @p2870 (forall @t4063 (=> @t4062 (=> @t835 (=> @t836 @t4061))))) % 6.51/6.70 (assume @p2871 (forall @t1261 (=> @t184 (= @t4042 @t4056)))) % 6.51/6.70 (assume @p2872 (forall @t1261 (=> @t184 (=> @t4056 @t4042)))) % 6.51/6.70 (assume @p2873 (forall @t4063 (=> @t4062 (=> @t835 (=> @t836 @t4065))))) % 6.51/6.70 (assume @p2874 (forall @t1108 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 (tptp.hAPP @t402 @t1094)) @t3771)) (not @t4053)))) % 6.51/6.70 (assume @p2875 (forall (@list @t73 @t100 @t51 @t2 @t74 @t8) (=> @t4042 (=> (not @t4067) (tptp.c_Fun_Oinj__on @t8 @t74 @t535 @t51))))) % 6.51/6.70 (assume @p2876 (forall (@list @t1 @t289 @t51 @t2 @t74 @t8) (=> @t4042 (=> @t4069 (=> (tptp.c_Fun_Oinj__on @t74 @t8 @t1 @t289) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP @t4068 @t289)) @t51)) (=> @t184 (=> @t765 (= @t403 @t759))))))))) % 6.51/6.70 (assume @p2877 (forall @t3001 (=> @t2916 (=> @t184 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4035 @t3000) @t2986) @t51) (tptp.hAPP @t4039 (tptp.hAPP (tptp.hAPP @t4070 @t2986) @t51))))))) % 6.51/6.70 (assume @p2878 (forall (@list @t261 @t1 @t13 @t51 @t8 @t74) (=> @t4074 (=> @t184 (=> @t366 (= (tptp.hAPP @t4071 @t54) (tptp.hAPP (tptp.hAPP @t1430 @t4073) @t4072))))))) % 6.51/6.70 (assume @p2879 (forall @t2990 (=> @t3744 @t4075))) % 6.51/6.70 (assume @p2880 (forall @t2990 (=> @t3744 (and @t4075 @t3743)))) % 6.51/6.70 (assume @p2881 (forall @t2990 (=> @t2916 (and @t4076 @t2989)))) % 6.51/6.70 (assume @p2882 (forall @t2990 (=> @t2916 @t4076))) % 6.51/6.70 (assume @p2883 (forall @t531 (= (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t54) (and @t4042 (not (tptp.hBOOL (tptp.hAPP @t4077 (tptp.hAPP @t1088 @t354)))))))) % 6.51/6.70 (assume @p2884 (forall @t1163 (= @t4055 (and @t4042 @t4043 (= (tptp.hAPP (tptp.hAPP @t3950 @t4064) (tptp.hAPP @t1088 @t1581)) @t386))))) % 6.51/6.70 (assume @p2885 (forall @t1163 (=> @t4042 (=> @t4069 (=> @t765 @t4078))))) % 6.51/6.70 (assume @p2886 (forall @t766 (=> @t184 (=> @t765 (= (exists @t3524 (and @t4080 (tptp.hBOOL (tptp.hAPP @t4079 @t289)))) @t4078))))) % 6.51/6.70 (assume @p2887 (forall (@list @t13 @t51 @t2917 @t8) (=> @t4034 (=> @t299 (= (tptp.hAPP (tptp.hAPP @t3818 @t354) @t2917) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3513) @t3819) (tptp.hAPP (tptp.hAPP @t3818 @t70) @t2917))))))) % 6.51/6.70 (assume @p2888 (forall @t3978 (=> @t2916 (=> @t184 (=> @t361 (= @t4040 (tptp.hAPP (tptp.hAPP @t1430 @t4041) (tptp.hAPP @t4037 @t3866)))))))) % 6.51/6.70 (assume @p2889 (forall @t1261 (=> @t184 (= @t1089 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t273 @t8 @t1734) (tptp.hAPP (tptp.hAPP @t2452 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 @t2449 @t8) @t111) @t2)) @t386)) @t386) @t51))))) % 6.51/6.70 (assume @p2890 (forall @t243 @t4081)) % 6.51/6.70 (assume @p2891 (forall @t243 (and @t4081 @t1249))) % 6.51/6.70 (assume @p2892 (forall (@list @t3671 @t74 @t8 @t51) (=> @t249 (= (exists @t3524 (and @t4080 (tptp.hBOOL (tptp.hAPP @t4079 @t3671)))) (exists (@list @t4082) (= (tptp.hAPP (tptp.c_Set_Oimage @t74 @t8 @t4082) @t3671) @t51)))))) % 6.51/6.70 (assume @p2893 (forall @t4088 (=> @t4087 (and @t4086 @t4085)))) % 6.51/6.70 (assume @p2894 (forall @t4020 (=> @t2916 (=> @t2151 (=> @t3494 (=> @t4019 (= (tptp.hAPP @t4089 @t4017) (tptp.hAPP (tptp.hAPP @t1430 @t4090) (tptp.hAPP @t4089 @t3487))))))))) % 6.51/6.70 (assume @p2895 (forall @t243 (tptp.c_Fun_Oinj__on @t8 @t407 @t87 @t51))) % 6.51/6.70 (assume @p2896 (forall @t2647 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t1324))) % 6.51/6.70 (assume @p2897 (forall (@list @t1324 @t205) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3530 @t1324))) % 6.51/6.70 (assume @p2898 (forall (@list @t4091 @t378 @t74 @t8) (= (tptp.c_Fun_Oinj__on @t8 @t418 (tptp.c_Map_Omap__add @t8 @t74 @t378 @t4091) @t4092) (tptp.c_Fun_Oinj__on @t8 @t418 @t4091 @t4092)))) % 6.51/6.70 (assume @p2899 (forall @t2974 (tptp.c_Fun_Oinj__on @t2930 @t3674 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t74 @t3674) @t4093) @t51))) % 6.51/6.70 (assume @p2900 (forall @t4088 (=> @t4087 @t4085))) % 6.51/6.70 (assume @p2901 (forall (@list @t289 @t73 @t51 @t2 @t74 @t8) (=> @t4042 (=> (tptp.hBOOL (tptp.hAPP @t351 @t1089)) (=> @t746 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t4095) @t289))))))) % 6.51/6.70 (assume @p2902 (forall (@list @t281 @t117 @t116) (=> (forall @t7 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t4096) @t134))) (= (tptp.hAPP (tptp.hAPP @t468 (tptp.hAPP (tptp.hAPP @t3710 @t117) @t3677)) (tptp.hAPP (tptp.hAPP @t3710 @t116) @t3677)) (tptp.hAPP (tptp.hAPP @t3710 (tptp.hAPP (tptp.hAPP @t2156 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1876 tptp.tc_Nat_Onat) @t468) @t117)) @t116)) @t3677))))) % 6.51/6.70 (assume @p2903 (forall @t1331 (=> @t1678 (=> (forall @t396 (= (tptp.hAPP @t1096 @t4033) (tptp.hAPP (tptp.hAPP @t3869 @t1330) @t1329))) (=> @t1328 (=> @t1327 (= (tptp.hAPP @t1096 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t1324)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t1326)))))))) % 6.51/6.70 (assume @p2904 (forall @t4046 (=> @t4042 (=> @t533 (=> @t323 (= @t4097 @t73)))))) % 6.51/6.70 (assume @p2905 (forall @t4098 (=> @t4042 (=> @t323 (= (tptp.hAPP @t4094 @t115) @t73))))) % 6.51/6.70 (assume @p2906 (forall @t1108 (=> @t4042 (= (tptp.hAPP (tptp.c_Set_Oimage @t74 @t8 @t4094) @t1089) @t51)))) % 6.51/6.70 (assume @p2907 (forall @t1108 (=> @t4042 (tptp.c_Fun_Oinj__on @t74 @t8 @t4094 @t1089)))) % 6.51/6.70 (assume @p2908 (forall (@list @t100 @t51 @t2 @t74 @t8) (=> @t4042 (=> @t4067 (= (tptp.hAPP @t2 @t4097) @t100))))) % 6.51/6.70 (assume @p2909 (forall @t3690 (=> @t3689 (not (forall @t7 (=> @t3687 (not @t742))))))) % 6.51/6.70 (assume @p2910 (forall @t3495 (=> @t3744 (=> @t3494 (=> @t3493 (=> @t4099 (= @t4022 @t4023))))))) % 6.51/6.70 (assume @p2911 (forall @t3495 (=> @t3744 (=> @t3494 (=> @t3493 (=> @t4099 (= @t4023 @t4022))))))) % 6.51/6.70 (assume @p2912 (forall @t3343 (=> (and @t3744 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t74)) (=> @t184 (=> @t249 (=> (forall @t7 (=> @t363 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4100 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4100 @t3746) @t3742)))))))) % 6.51/6.70 (assume @p2913 (forall @t2271 (=> @t497 (= (tptp.hAPP (tptp.hAPP @t3864 (tptp.hAPP @t3618 @t281)) (tptp.hAPP @t4101 @t281)) (tptp.hAPP (tptp.hAPP @t52 @t281) @t56))))) % 6.51/6.70 (assume @p2914 (forall (@list @t116 @t18 @t12 @t8 @t117) (=> (forall @t197 (=> @t199 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t4102 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Com_Ostate tptp.tc_HOL_Obool) tptp.c_fequal) @t193))) @t18) (tptp.hAPP @t4102 @t195))) @t11)))) @t192))) % 6.51/6.70 (assume @p2915 (forall @t485 (=> @t484 (= (= @t4104 @t4103) @t328)))) % 6.51/6.70 (assume @p2916 (forall @t3640 (=> @t507 (= (tptp.hBOOL (tptp.hAPP @t2301 @t4105)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t205) @t638)))))) % 6.51/6.70 (assume @p2917 (forall @t485 (=> @t497 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t4104) @t4103)) @t842)))) % 6.51/6.70 (assume @p2918 (forall @t3119 (=> @t484 (= (tptp.hAPP @t749 @t4105) @t3683)))) % 6.51/6.70 (assume @p2919 (forall @t3119 (=> @t484 (= (tptp.hAPP @t749 @t3683) @t4105)))) % 6.51/6.70 (assume @p2920 (forall @t2899 (=> @t484 (=> @t3551 (= (tptp.hAPP @t3650 @t4107) @t4106))))) % 6.51/6.70 (assume @p2921 (forall @t2899 (=> @t497 (= (tptp.hAPP (tptp.hAPP @t3864 @t3631) @t4107) @t56)))) % 6.51/6.70 (assume @p2922 (forall @t731 (=> @t484 (= (tptp.hAPP @t3969 (tptp.hAPP @t4101 @t18)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t3968 @t58))))) % 6.51/6.70 (assume @p2923 (forall (@list @t60 @t18 @t13 @t8) (=> @t484 (= (tptp.hAPP (tptp.hAPP @t3864 (tptp.hAPP @t4101 @t13)) @t3542) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t3968 @t60))))) % 6.51/6.70 (assume @p2924 (forall @t2899 (=> @t497 (= (tptp.hAPP (tptp.hAPP @t3864 @t2895) @t4107) @t56)))) % 6.51/6.70 (assume @p2925 (forall @t89 (=> @t694 (= (tptp.hAPP @t2148 @t3620) (tptp.hAPP @t4101 @t850))))) % 6.51/6.70 (assume @p2926 (forall @t89 (=> @t694 (= (tptp.hAPP @t2148 @t4104) (tptp.hAPP @t3618 @t850))))) % 6.51/6.70 (assume @p2927 (forall @t2247 (= @t4110 (tptp.hAPP (tptp.hAPP @t4109 (tptp.hAPP @t4108 @t205)) (tptp.hAPP @t3678 @t1901))))) % 6.51/6.70 (assume @p2928 (forall @t2899 (=> @t484 (=> @t2898 (= (tptp.hAPP @t2896 @t4107) @t4112))))) % 6.51/6.70 (assume @p2929 (forall @t2899 (=> @t484 (=> @t3551 (= (tptp.hAPP (tptp.hAPP @t1662 @t3545) @t4113) @t4106))))) % 6.51/6.70 (assume @p2930 (forall (@list @t1468 @t8) (=> @t484 (= (tptp.hAPP @t3550 @t4112) @t4106)))) % 6.51/6.70 (assume @p2931 (forall @t2247 (= @t4110 @t4115))) % 6.51/6.70 (assume @p2932 (forall @t485 (=> @t484 (= (= @t4117 @t4116) @t328)))) % 6.51/6.70 (assume @p2933 (forall @t3640 (=> @t507 (= (tptp.hBOOL (tptp.hAPP @t2301 @t4118)) (tptp.hBOOL (tptp.hAPP @t3012 @t638)))))) % 6.51/6.70 (assume @p2934 (forall @t485 (=> @t484 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t4117) @t4116)) @t842)))) % 6.51/6.70 (assume @p2935 (forall @t3119 (=> @t484 (= (tptp.hAPP @t749 @t4118) @t3639)))) % 6.51/6.70 (assume @p2936 (forall @t3119 (=> @t484 (= (tptp.hAPP @t749 @t3639) @t4118)))) % 6.51/6.70 (assume @p2937 (forall @t2899 (=> @t497 (= (tptp.hAPP (tptp.hAPP @t3864 @t3545) @t4113) @t56)))) % 6.51/6.70 (assume @p2938 (forall @t2899 (=> @t484 (=> @t3551 (= (tptp.hAPP (tptp.hAPP @t1662 @t2893) @t4113) @t4112))))) % 6.51/6.70 (assume @p2939 (forall @t89 (=> @t694 (= (tptp.hAPP @t2148 @t3666) (tptp.hAPP @t4111 @t850))))) % 6.51/6.70 (assume @p2940 (forall @t89 (=> @t694 (= (tptp.hAPP @t2148 @t4117) (tptp.hAPP @t3651 @t850))))) % 6.51/6.70 (assume @p2941 (forall @t2899 (=> @t497 (= (tptp.hAPP (tptp.hAPP @t3864 @t2893) @t4113) @t56)))) % 6.51/6.70 (assume @p2942 (forall @t2247 (= (tptp.hAPP @t4114 @t878) (tptp.hAPP (tptp.hAPP @t4109 @t4115) (tptp.hAPP @t3638 @t1901))))) % 6.51/6.70 (assume @p2943 (forall @t491 (=> @t3365 (=> (forall @t4120 (=> (tptp.hBOOL (tptp.hAPP @t1204 @t4119)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t4119) @t675)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP (tptp.hAPP @t754 @t4119) @t95)) @t284))))) @t817)))) % 6.51/6.70 (assume @p2944 (forall @t4122 (=> @t2977 (=> @t297 (=> @t2465 (=> @t4121 (= @t2995 (tptp.hAPP (tptp.hAPP @t2975 @t1) @t289)))))))) % 6.51/6.70 (assume @p2945 (forall (@list @t2884 @t125 @t129 @t8) (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t8 @t129 @t125 @t2885) (tptp.hAPP @t125 @t2884)))) % 6.51/6.70 (assume @p2946 (forall @t2035 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t8 @t129 @t125 @t2833) @t129))) % 6.51/6.70 (assume @p2947 (forall @t1473 (and @t4132 (=> @t3118 (and @t4131 (=> @t4130 (= @t4128 (tptp.hAPP @t4127 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2921 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t1481 @t1468)) @t2064)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t1385 @t1468) @t1480)) @t2594))) @t4123) @t4125))))))))) % 6.51/6.70 (assume @p2948 (forall (@list @t95 @t513 @t715) (=> @t4134 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t513) (tptp.hAPP @t1519 @t4133)))))) % 6.51/6.70 (assume @p2949 (forall (@list @t513 @t95 @t715) (=> @t4134 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 (tptp.hAPP @t1812 @t4133)) @t513))))) % 6.51/6.70 (assume @p2950 (forall @t1108 (=> @t4138 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP @t4135 @t3717)) @t4137))))) % 6.51/6.70 (assume @p2951 (forall @t1108 (=> @t4138 (tptp.hBOOL (tptp.hAPP @t1083 @t4137))))) % 6.51/6.70 (assume @p2952 (forall (@list @t100 @t73 @t2 @t8 @t74 @t210) (= (tptp.hAPP @t4141 @t4140) (tptp.hAPP @t2934 @t1676)))) % 6.51/6.70 (assume @p2953 (forall @t1108 (=> @t4138 (= (tptp.hAPP @t4135 @t4137) @t4137)))) % 6.51/6.70 (assume @p2954 (forall @t1108 (=> @t3384 (= (tptp.hAPP @t4135 @t2967) (tptp.hAPP (tptp.hAPP @t2963 @t4136) @t51))))) % 6.51/6.70 (assume @p2955 (forall @t502 (=> @t3365 @t4144))) % 6.51/6.70 (assume @p2956 (forall @t150 (=> @t725 (= (tptp.hAPP @t4135 @t675) @t675)))) % 6.51/6.70 (assume @p2957 (forall @t2765 (=> @t725 (= @t4147 @t4146)))) % 6.51/6.70 (assume @p2958 (forall @t502 (=> @t4138 (= (tptp.hAPP @t4135 @t4148) @t4148)))) % 6.51/6.70 (assume @p2959 (forall @t680 (=> @t725 (= (tptp.hAPP @t4149 @t4143) @t854)))) % 6.51/6.70 (assume @p2960 (forall @t502 (=> @t725 @t4151))) % 6.51/6.70 (assume @p2961 (forall @t680 (=> @t4138 (= (tptp.hAPP @t4135 @t4143) @t4143)))) % 6.51/6.70 (assume @p2962 (forall @t875 (= (tptp.hAPP @t4124 @t2196) @t2196))) % 6.51/6.70 (assume @p2963 (forall @t2251 (=> @t725 (= (tptp.hAPP @t4135 @t2250) @t2250)))) % 6.51/6.70 (assume @p2964 (forall @t680 (=> @t4138 (= (tptp.hAPP @t4135 @t785) @t4143)))) % 6.51/6.70 (assume @p2965 (forall @t150 (=> @t4138 (= (tptp.hAPP @t4135 @t1082) @t1082)))) % 6.51/6.70 (assume @p2966 (forall @t14 (=> @t4138 (= (= @t4152 @t1082) @t1122)))) % 6.51/6.70 (assume @p2967 (forall @t502 (=> @t4138 (=> @t4153 @t788)))) % 6.51/6.70 (assume @p2968 (forall @t680 (=> @t4138 (tptp.hBOOL (tptp.hAPP @t787 @t4143))))) % 6.51/6.70 (assume @p2969 (forall @t502 (=> @t4138 (= @t4155 @t4154)))) % 6.51/6.70 (assume @p2970 (forall @t680 (=> @t4138 (tptp.hBOOL (tptp.hAPP @t1083 @t4143))))) % 6.51/6.70 (assume @p2971 (forall @t14 (=> @t4138 (= (tptp.hBOOL (tptp.hAPP @t4156 @t1082)) @t1122)))) % 6.51/6.70 (assume @p2972 (forall @t680 (=> @t4138 (=> @t1170 @t4157)))) % 6.51/6.70 (assume @p2973 (forall @t680 (=> @t4138 (=> @t1205 @t4157)))) % 6.51/6.70 (assume @p2974 (forall @t14 (=> @t4138 (= (tptp.hBOOL (tptp.hAPP @t1204 @t4152)) @t2767)))) % 6.51/6.70 (assume @p2975 (forall @t680 (=> @t4138 (not (tptp.hBOOL (tptp.hAPP @t4158 @t1082)))))) % 6.51/6.70 (assume @p2976 (forall @t502 (=> @t4138 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP @t4135 @t686)) @t4148))))) % 6.51/6.70 (assume @p2977 (forall @t1707 (=> @t725 (=> (tptp.hBOOL (tptp.hAPP @t4158 @t333)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t4142) @t715)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t4150) (tptp.hAPP @t1185 @t715)))))))) % 6.51/6.70 (assume @p2978 (forall @t4160 (= (tptp.hAPP @t3250 @t4159) (tptp.hAPP (tptp.c_Product__Type_Ofst @t8 @t210) @t73)))) % 6.51/6.70 (assume @p2979 (forall @t502 (=> @t4138 (tptp.hBOOL (tptp.hAPP @t4162 @t4154))))) % 6.51/6.70 (assume @p2980 (forall @t502 (=> @t4138 (tptp.hBOOL (tptp.hAPP @t4162 @t4155))))) % 6.51/6.70 (assume @p2981 (forall @t502 (=> @t4138 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP @t4135 @t4161)) @t4155))))) % 6.51/6.70 (assume @p2982 (forall @t680 (=> @t4138 (tptp.hBOOL (tptp.hAPP @t4163 @t4143))))) % 6.51/6.70 (assume @p2983 (forall @t71 (=> @t4138 (= (tptp.hBOOL (tptp.hAPP @t4156 @t58)) (and @t798 @t804))))) % 6.51/6.70 (assume @p2984 (forall @t502 (=> @t4138 (=> @t788 (=> @t4164 @t4153))))) % 6.51/6.70 (assume @p2985 (forall @t502 (=> @t4138 (=> @t4153 @t4164)))) % 6.51/6.70 (assume @p2986 (forall @t4166 (= (tptp.hAPP @t3252 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t210 @t8 @t74 @t2) @t73)) (tptp.hAPP @t2 @t4165)))) % 6.51/6.70 (assume @p2987 (forall (@list @t1 @t73 @t2 @t8 @t74 @t210) (= (= @t4159 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t210 @t74 @t8 @t1) @t73)) (= (tptp.hAPP @t2 @t4167) (tptp.hAPP @t1 @t4167))))) % 6.51/6.70 (assume @p2988 (forall @t71 (=> @t725 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t4152) @t58)) (and @t691 @t895))))) % 6.51/6.70 (assume @p2989 (forall @t503 (=> @t3384 (=> @t1130 @t4144)))) % 6.51/6.70 (assume @p2990 (forall @t2765 (=> @t725 (= (tptp.hAPP @t4135 @t2826) @t4147)))) % 6.51/6.70 (assume @p2991 (forall @t524 (=> (= (tptp.hAPP @t4124 @t2852) @t1477) (= (tptp.hAPP @t4124 @t521) @t1477)))) % 6.51/6.70 (assume @p2992 (forall @t2355 (= @t4170 (tptp.hAPP (tptp.hAPP @t2919 (tptp.hAPP (tptp.hAPP @t2484 @t4169) @t4168)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t4169 @t4168))))) % 6.51/6.70 (assume @p2993 (forall @t97 (=> @t725 (= (tptp.hAPP (tptp.hAPP @t754 @t1345) @t4171) @t95)))) % 6.51/6.70 (assume @p2994 (forall @t1459 (=> @t725 (= (tptp.hAPP @t4135 @t561) (tptp.hAPP (tptp.hAPP @t754 @t561) (tptp.c_Groups_Osgn__class_Osgn @t8 @t561)))))) % 6.51/6.70 (assume @p2995 (forall @t2642 (and (=> @t4172 (= @t4170 (tptp.hAPP @t3060 @t4169))) (=> (not @t4172) (= @t4170 (tptp.c_Divides_OposDivAlg @t4169 @t4168)))))) % 6.51/6.70 (assume @p2996 (forall @t491 (=> @t725 (=> @t1277 (= (tptp.hAPP (tptp.hAPP @t754 (tptp.hAPP @t4135 @t284)) @t95) (tptp.hAPP @t4135 @t1278)))))) % 6.51/6.70 (assume @p2997 (forall @t502 (=> (tptp.class_Rings_Oordered__ring__abs @t8) (=> (and (or @t1170 @t1165) (or @t1175 @t1164)) @t4151)))) % 6.51/6.70 (assume @p2998 (forall @t502 (=> @t4138 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t4155) @t4148))))) % 6.51/6.70 (assume @p2999 (forall @t720 (=> @t4138 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP @t4135 (tptp.hAPP @t687 @t1032))) (tptp.hAPP (tptp.hAPP @t676 (tptp.hAPP @t4135 (tptp.hAPP @t683 @t333))) (tptp.hAPP @t4135 (tptp.hAPP @t898 @t715)))))))) % 6.51/6.70 (assume @p3000 (forall @t680 (=> @t4138 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP @t784 @t4143)) @t1082))))) % 6.51/6.70 (assume @p3001 (forall @t680 (=> @t4138 (=> @t1165 @t4173)))) % 6.51/6.70 (assume @p3002 (forall @t680 (=> (tptp.class_Groups_Oabs__if @t8) (and @t4174 (=> (not @t1201) @t4157))))) % 6.51/6.70 (assume @p3003 (forall @t680 (=> @t4138 @t4174))) % 6.51/6.70 (assume @p3004 (forall @t2765 (=> @t725 (tptp.hBOOL (tptp.hAPP @t1083 @t4146))))) % 6.51/6.70 (assume @p3005 (forall @t827 (=> @t3365 (=> @t3392 (= (tptp.hAPP (tptp.hAPP @t3314 @t4171) @t284) (tptp.hAPP @t4135 @t3385)))))) % 6.51/6.70 (assume @p3006 (forall @t150 (=> @t1384 (= (tptp.hAPP @t4135 @t2836) @t675)))) % 6.51/6.70 (assume @p3007 (forall @t1498 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 (tptp.hAPP @t4124 @t261)) @t1477)) @t3002))) % 6.51/6.70 (assume @p3008 (forall @t1484 (and (=> @t4176 (= @t4175 (tptp.hAPP @t1409 @t592))) (=> (not @t4176) (= @t4175 @t592))))) % 6.51/6.70 (assume @p3009 (forall @t1558 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t4124 @t1545)) (tptp.hAPP (tptp.hAPP @t855 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t4124 @t1389))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t4124 @t513)))))) % 6.51/6.70 (assume @p3010 (forall @t2678 (tptp.hBOOL (tptp.hAPP @t1493 (tptp.hAPP (tptp.hAPP @t2677 @t4177) @t336))))) % 6.51/6.70 (assume @p3011 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t1409))) % 6.51/6.70 (assume @p3012 (forall @t97 (=> @t1384 (and (=> @t4180 (= @t4179 (tptp.hAPP @t784 @t4178))) (=> (not @t4180) (= @t4179 @t4178)))))) % 6.51/6.70 (assume @p3013 (forall @t2251 (=> @t1384 (= (tptp.hAPP @t4135 (tptp.hAPP @t2837 @t336)) @t675)))) % 6.51/6.70 (assume @p3014 (forall @t2809 (= (tptp.hBOOL (tptp.hAPP @t1481 (tptp.hAPP (tptp.hAPP @t2677 (tptp.hAPP @t4124 @t73)) @t281))) (or (not (= @t73 @t1480)) @t1142)))) % 6.51/6.70 (assume @p3015 (forall @t680 (=> @t725 (= (tptp.hAPP @t4145 @t2373) @t2757)))) % 6.51/6.70 (assume @p3016 (forall @t680 (=> @t725 (= (tptp.hAPP @t4135 @t2757) @t2757)))) % 6.51/6.70 (assume @p3017 (forall @t1473 (and @t4132 (=> @t3118 (and @t4131 (=> @t4130 (= @t4128 (tptp.hAPP @t4127 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2921 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t205)) @t4126)) @t4123) @t4125))))))))) % 6.51/6.70 (assume @p3018 (forall @t654 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t95) @t284) (tptp.hAPP @t2195 (tptp.c_Nitpick_Onat__gcd @t4182 @t4181))))) % 6.51/6.70 (assume @p3019 (forall @t654 (= (tptp.c_Nitpick_Oint__lcm @t95 @t284) (tptp.hAPP @t2195 (tptp.c_Nitpick_Onat__lcm @t4182 @t4181))))) % 6.51/6.70 (assume @p3020 (forall @t4188 (= (tptp.hAPP @t4187 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3169 @t74 @t210 @t1) @t73)) (tptp.hAPP (tptp.hAPP @t2933 @t4186) @t4184)))) % 6.51/6.70 (assume @p3021 (forall (@list @t100 @t73 @t2 @t74 @t8 @t210) (= (tptp.hAPP @t4187 (tptp.hAPP (tptp.hAPP @t4189 @t73) @t100)) (tptp.hAPP (tptp.hAPP @t2933 @t115) @t100)))) % 6.51/6.70 (assume @p3022 (forall (@list @t1 @t73 @t2 @t74 @t8 @t210) (= (= @t4192 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t210 @t8 @t74 @t1) @t73)) (= @t4191 (tptp.hAPP @t1 @t4190))))) % 6.51/6.70 (assume @p3023 (forall @t4160 (= (tptp.hAPP @t3250 @t4192) @t4191))) % 6.51/6.70 (assume @p3024 (forall @t4166 (= (tptp.hAPP @t3252 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t210 @t74 @t8 @t2) @t73)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t210 @t8) @t73)))) % 6.51/6.70 (assume @p3025 (forall (@list @t3161 @t1 @t3169 @t2 @t8 @t74 @t210) (= (tptp.hAPP @t4141 (tptp.hAPP @t4193 @t3161)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3169 @t8 @t74 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t210 @t74 @t3169 @t2) @t3161))))) % 6.51/6.70 (assume @p3026 (forall @t654 (= (tptp.c_Nitpick_Onat__lcm @t95 @t284) (tptp.hAPP (tptp.hAPP @t2661 @t2254) @t4194)))) % 6.51/6.70 (assume @p3027 (forall @t1815 (and (=> @t4195 (= @t4194 @t95)) (=> (not @t4195) (= @t4194 (tptp.c_Nitpick_Onat__gcd @t284 @t2713)))))) % 6.51/6.70 (assume @p3028 (forall @t4197 (= (tptp.hAPP @t4141 (tptp.hAPP @t4193 @t73)) (tptp.hAPP (tptp.hAPP @t2933 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t3169 @t210) @t73))) (tptp.hAPP @t2 (tptp.hAPP @t4196 @t73)))))) % 6.51/6.70 (assume @p3029 (forall @t1913 (=> (tptp.hBOOL (tptp.hAPP @t4200 @t3467)) (and (=> @t4199 (= @t4198 @t73)) (=> (not @t4199) (= @t4198 (tptp.c_Nitpick_Onat__gcd @t100 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t73 @t100)))))))) % 6.51/6.70 (assume @p3030 (forall @t491 (=> @t848 (=> (= @t3871 @t72) (=> (= @t1684 @t4201) (= @t846 @t284)))))) % 6.51/6.70 (assume @p3031 (forall @t4122 (=> @t2977 (=> @t297 (=> @t2465 (=> @t4121 (= @t3812 (tptp.hAPP (tptp.hAPP @t3810 @t1) @t289)))))))) % 6.51/6.70 (assume @p3032 (forall @t89 (tptp.hBOOL (tptp.hAPP @t283 @t4202)))) % 6.51/6.70 (assume @p3033 (= (tptp.hAPP @t4204 @t3656) @t4203)) % 6.51/6.70 (assume @p3034 (forall @t150 (= @t4206 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t407) @t149) (tptp.hAPP (tptp.c_Set_Oimage @t8 @t407 @t87) @t4202))))) % 6.51/6.70 (assume @p3035 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2195 @t4203)) % 6.51/6.70 (assume @p3036 (forall @t542 (=> @t4207 (=> @t4045 @t328)))) % 6.51/6.70 (assume @p3037 (forall @t542 (=> @t4207 @t4047))) % 6.51/6.70 (assume @p3038 (forall @t243 (= (tptp.hAPP @t3865 @t4202) @t51))) % 6.51/6.70 (assume @p3039 (forall @t1724 (= (tptp.hAPP (tptp.hAPP @t3864 @t4202) @t289) @t289))) % 6.51/6.70 (assume @p3040 (forall @t97 (=> @t4208 (= (tptp.hAPP (tptp.hAPP @t3869 @t4201) @t95) @t95)))) % 6.51/6.70 (assume @p3041 (forall @t97 (=> @t4208 (= (tptp.hAPP @t3870 @t4201) @t95)))) % 6.51/6.70 (assume @p3042 (forall @t485 (=> @t4208 (= (= @t3877 @t4201) (and (= @t73 @t4201) (= @t100 @t4201)))))) % 6.51/6.70 (assume @p3043 (forall @t150 (= (tptp.hAPP @t3500 @t4202) @t4209))) % 6.51/6.70 (assume @p3044 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Product__Type_Ounit) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_HOL_Obool))) @t467)) % 6.51/6.70 (assume @p3045 (forall @t77 (=> @t4210 (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t75) @t73) @t4201)))) % 6.51/6.70 (assume @p3046 (forall @t1586 (= (tptp.c_Sum__Type_OPlus @t8 @t74 @t4202 @t4212) @t4211))) % 6.51/6.70 (assume @p3047 (forall @t150 (not (= @t4202 @t56)))) % 6.51/6.70 (assume @p3048 (forall @t1724 (= (tptp.hAPP (tptp.hAPP @t1662 @t4202) @t289) @t4202))) % 6.51/6.70 (assume @p3049 (forall @t243 (= (tptp.hAPP @t1663 @t4202) @t4202))) % 6.51/6.70 (assume @p3050 (forall @t243 (tptp.hBOOL (tptp.hAPP @t745 @t4202)))) % 6.51/6.70 (assume @p3051 (not (tptp.hBOOL (tptp.hAPP @t2335 @t4203)))) % 6.51/6.70 (assume @p3052 (forall @t1586 (=> @t4216 (=> @t4215 (tptp.hBOOL (tptp.hAPP @t4214 @t4213)))))) % 6.51/6.70 (assume @p3053 (forall @t150 (= (tptp.hBOOL (tptp.hAPP @t4217 @t4206)) @t4216))) % 6.51/6.70 (assume @p3054 (forall @t1586 (=> @t4219 @t4215))) % 6.51/6.70 (assume @p3055 (forall @t150 (=> @t242 @t4216))) % 6.51/6.70 (assume @p3056 (forall @t1586 (= (tptp.hBOOL (tptp.hAPP @t963 @t4211)) (and @t4216 @t4215)))) % 6.51/6.70 (assume @p3057 (forall (@list @t1 @t2 @t210 @t8 @t74) (= (tptp.hAPP (tptp.c_Set_Oimage @t74 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t210 @t8 @t74) @t2) @t1)) @t4212) (tptp.hAPP @t4221 (tptp.hAPP @t4220 @t4212))))) % 6.51/6.70 (assume @p3058 (tptp.c_Equiv__Relations_Oequiv @t3146 @t4222 tptp.c_Int_Ointrel)) % 6.51/6.70 (assume @p3059 (forall @t97 (=> @t4208 (= (tptp.hAPP @t1682 @t4201) @t4201)))) % 6.51/6.70 (assume @p3060 (forall @t97 (=> @t4208 (= (tptp.hAPP (tptp.hAPP @t1677 @t4201) @t95) @t4201)))) % 6.51/6.70 (assume @p3061 (forall @t97 (=> @t4210 (tptp.hBOOL (tptp.hAPP @t778 @t4201))))) % 6.51/6.70 (assume @p3062 (not (tptp.hBOOL (tptp.hAPP @t2334 (tptp.c_Orderings_Otop__class_Otop @t1897))))) % 6.51/6.70 (assume @p3063 (= (tptp.hAPP @t4204 @t3610) @t4203)) % 6.51/6.70 (assume @p3064 (forall (@list @t74 @t8 @t73 @t2 @t58) (=> @t1095 (tptp.hBOOL (tptp.hAPP @t329 @t4223))))) % 6.51/6.70 (assume @p3065 (forall (@list @t74 @t73 @t2 @t8) (tptp.hBOOL (tptp.hAPP @t4224 @t4223)))) % 6.51/6.70 (assume @p3066 (= (tptp.hAPP @t4204 @t4108) @t4203)) % 6.51/6.70 (assume @p3067 (forall @t243 (= (tptp.hAPP @t310 @t4202) @t56))) % 6.51/6.70 (assume @p3068 (forall @t243 (=> @t4216 (=> (= @t403 @t4225) (= @t51 @t4202))))) % 6.51/6.70 (assume @p3069 (forall @t1163 (=> @t4207 @t4054))) % 6.51/6.70 (assume @p3070 (forall @t150 (= (tptp.hAPP @t749 @t4202) @t56))) % 6.51/6.70 (assume @p3071 (forall @t150 (= (tptp.hAPP @t749 @t56) @t4202))) % 6.51/6.70 (assume @p3072 (forall @t243 (=> @t184 (= (tptp.hBOOL (tptp.hAPP @t182 @t781)) @t4216)))) % 6.51/6.70 (assume @p3073 (forall @t243 (= (tptp.hAPP @t1663 @t781) @t4202))) % 6.51/6.70 (assume @p3074 (forall @t243 (= (tptp.hAPP @t1756 @t51) @t4202))) % 6.51/6.70 (assume @p3075 (forall @t243 (= @t781 (tptp.hAPP (tptp.hAPP @t309 @t4202) @t51)))) % 6.51/6.70 (assume @p3076 (forall @t4229 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4226 @t4228) @t73)) (tptp.hBOOL (tptp.hAPP @t351 (tptp.hAPP @t4226 @t2917)))))) % 6.51/6.70 (assume @p3077 (forall (@list @t2 @t210 @t1 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP @t182 (tptp.hAPP @t4068 @t4212))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t210) (tptp.hAPP (tptp.c_Set_Oimage @t74 @t210 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t210 @t74) @t2) @t1)) @t4212)))))) % 6.51/6.70 (assume @p3078 (forall @t451 (=> @t4207 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t8 @t74 @t4202 @t2) @t115) @t73)))) % 6.51/6.70 (assume @p3079 (forall @t1586 (=> @t4219 (=> (not (= (tptp.hAPP @t758 @t4212) @t1239)) @t4216)))) % 6.51/6.70 (assume @p3080 (forall @t150 (=> @t2207 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t8 @t2177 @t4203)))) % 6.51/6.70 (assume @p3081 (forall @t1588 (= (tptp.c_Map_Odom @t8 @t74 @t4230) @t4202))) % 6.51/6.70 (assume @p3082 (= (tptp.hAPP @t4108 @t1074) @t4203)) % 6.51/6.70 (assume @p3083 (forall (@list @t210 @t2 @t74 @t8) (=> @t4207 (tptp.c_Fun_Oinj__on @t8 @t4231 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 @t4231 @t8) (tptp.c_COMBK @t74 @t210)) @t2) @t4202)))) % 6.51/6.70 (assume @p3084 (forall @t150 (=> @t848 (= (tptp.hAPP @t784 @t72) @t4201)))) % 6.51/6.70 (assume @p3085 (forall @t150 (=> @t848 (= (tptp.hAPP @t784 @t4201) @t72)))) % 6.51/6.70 (assume @p3086 (forall @t97 (=> @t848 (= (tptp.hAPP @t1682 @t846) @t4201)))) % 6.51/6.70 (assume @p3087 (forall @t97 (=> @t848 (= (tptp.hAPP @t3941 @t95) @t4201)))) % 6.51/6.70 (assume @p3088 (forall @t531 (=> @t4207 (= (tptp.hBOOL (tptp.hAPP @t4077 @t1089)) @t299)))) % 6.51/6.70 (assume @p3089 (forall (@list @t58 @t2 @t74 @t8) (=> @t4207 (= (tptp.hBOOL (tptp.hAPP @t1102 (tptp.hAPP @t1088 @t4202))) (exists @t7 (and (= @t58 @t5) (forall @t45 (=> (= @t58 @t4003) @t4232)))))))) % 6.51/6.70 (assume @p3090 (forall @t4235 (=> @t4216 (=> @t4234 @t4233)))) % 6.51/6.70 (assume @p3091 (forall @t4235 (=> @t4216 (=> @t4233 @t4234)))) % 6.51/6.70 (assume @p3092 (forall @t1163 (=> @t4207 (= @t1114 @t746)))) % 6.51/6.70 (assume @p3093 (forall @t1163 (=> @t4207 @t4061))) % 6.51/6.70 (assume @p3094 (forall @t1163 (=> @t4207 @t4065))) % 6.51/6.70 (assume @p3095 (forall @t1106 (=> @t4238 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP @t749 @t1094)) (tptp.hAPP @t1093 @t4237)))))) % 6.51/6.70 (assume @p3096 (forall @t3139 (=> @t4239 (tptp.hBOOL (tptp.hAPP @t4217 (tptp.hAPP (tptp.c_Set_Oimage @t74 @t407 (tptp.hAPP (tptp.hAPP @t409 @t13) @t382)) @t4212)))))) % 6.51/6.70 (assume @p3097 (forall @t243 (= (tptp.hAPP @t4240 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4242 @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1900 (tptp.tc_fun @t4242 @t55) tptp.tc_Nat_Onat) @t3641) @t3621)) @t51)) @t4241))) % 6.51/6.70 (assume @p3098 (forall @t150 (tptp.c_Fun_Oinj__on @t8 @t55 @t1577 @t4202))) % 6.51/6.70 (assume @p3099 (forall @t150 (=> @t4216 (tptp.hBOOL (tptp.hAPP @t1100 @t4225))))) % 6.51/6.70 (assume @p3100 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t1632)) @t2373)) % 6.51/6.70 (assume @p3101 (forall @t1108 (=> @t4207 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t997 (tptp.hAPP @t1088 @t781)) (tptp.hAPP @t4236 @t1089)))))) % 6.51/6.70 (assume @p3102 (= (tptp.hAPP @t4114 @t1074) (tptp.hAPP @t3522 @t4203))) % 6.51/6.70 (assume @p3103 (forall @t4251 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2192 @t4202) @t4250) @t73) @t100)) (tptp.hBOOL (tptp.hAPP @t4245 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t4243) @t4202) @t2917)))))) % 6.51/6.70 (assume @p3104 (forall @t3187 (=> (tptp.hBOOL (tptp.hAPP @t4200 (tptp.hAPP (tptp.hAPP @t3120 @t3178) @t176))) (=> (forall @t396 (=> (tptp.hBOOL (tptp.hAPP @t4200 @t3708)) (=> (=> (not (= @t43 @t1074)) (tptp.hBOOL (tptp.hAPP @t4252 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3 @t43)))) (tptp.hBOOL (tptp.hAPP @t134 @t43))))) @t3180)))) % 6.51/6.70 (assume @p3105 (forall @t4258 (=> (forall @t430 (tptp.hBOOL (tptp.hAPP @t4257 @t4255))) (tptp.hBOOL (tptp.hAPP @t4254 @t4253))))) % 6.51/6.70 (assume @p3106 (forall @t2172 (=> @t2171 (=> @t184 (= @t4263 (tptp.hAPP (tptp.hAPP @t4260 (tptp.c_Orderings_Otop__class_Otop @t74)) @t51)))))) % 6.51/6.70 (assume @p3107 (forall @t89 (tptp.hBOOL (tptp.hAPP @t4202 @t73)))) % 6.51/6.70 (assume @p3108 (forall @t4270 (=> @t4269 (=> (not @t4265) (not @t4264))))) % 6.51/6.70 (assume @p3109 (forall @t4270 (=> @t4269 (=> @t4264 @t4265)))) % 6.51/6.70 (assume @p3110 (forall @t4275 (=> @t4274 (=> @t299 @t2189)))) % 6.51/6.70 (assume @p3111 (forall @t4275 (=> @t4274 (=> (not @t2189) @t366)))) % 6.51/6.70 (assume @p3112 (forall @t4278 (=> @t4277 (=> (not @t2194) @t366)))) % 6.51/6.70 (assume @p3113 (forall @t4278 (=> @t4277 (=> @t299 @t2194)))) % 6.51/6.70 (assume @p3114 (forall (@list @t51 @t74 @t2383 @t8) (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t137 @t2383)) (tptp.hBOOL (tptp.hAPP @t259 @t2382)))) (tptp.hBOOL (tptp.hAPP @t259 @t4279))))) % 6.51/6.70 (assume @p3115 (forall @t965 (= (= @t4202 @t4268) @t4280))) % 6.51/6.70 (assume @p3116 (forall @t2381 (= (= @t4268 @t4202) @t4280))) % 6.51/6.70 (assume @p3117 (forall @t4251 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4276 @t4202) @t4250) @t73) @t100)) (tptp.hBOOL (tptp.hAPP @t4245 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t4243) @t4202) @t2917)))))) % 6.51/6.70 (assume @p3118 (forall (@list @t289 @t8 @t74) (= (tptp.hAPP (tptp.hAPP @t4266 @t386) @t289) @t4202))) % 6.51/6.70 (assume @p3119 (forall @t1585 (and (=> @t248 (= @t4281 @t4212)) (=> @t249 (= @t4281 @t18))))) % 6.51/6.70 (assume @p3120 (forall @t4229 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4282 @t4228) @t73)) (tptp.hBOOL (tptp.hAPP @t351 (tptp.hAPP @t4282 @t2917)))))) % 6.51/6.70 (assume @p3121 (forall @t2390 (= (tptp.hAPP (tptp.hAPP @t4266 @t2389) @t289) (tptp.hAPP @t4284 @t2388)))) % 6.51/6.70 (assume @p3122 (forall @t2395 (= (tptp.hAPP @t4267 @t2394) (tptp.hAPP (tptp.hAPP @t4283 @t2392) @t289)))) % 6.51/6.70 (assume @p3123 (forall @t3936 (= (tptp.hBOOL (tptp.hAPP @t779 @t4286)) (forall @t7 (=> @t2384 (tptp.hBOOL (tptp.hAPP @t779 @t2382))))))) % 6.51/6.70 (assume @p3124 (forall @t2375 (= @t4269 (forall @t7 (=> @t742 @t2374))))) % 6.51/6.70 (assume @p3125 (forall @t2426 (= @t4290 @t4289))) % 6.51/6.70 (assume @p3126 (forall @t2426 (= @t4292 @t4291))) % 6.51/6.70 (assume @p3127 (forall @t3939 (= @t4289 @t4290))) % 6.51/6.70 (assume @p3128 (forall @t3936 (= (tptp.hAPP @t1670 @t4286) (tptp.hAPP @t4285 (tptp.hAPP (tptp.hAPP @t3935 @t1670) @t51))))) % 6.51/6.70 (assume @p3129 (forall @t2425 (= @t4291 @t4292))) % 6.51/6.70 (assume @p3130 (forall @t3932 (= (tptp.hAPP (tptp.hAPP @t1662 @t4286) (tptp.hAPP @t4293 @t289)) (tptp.hAPP @t4285 (tptp.hAPP (tptp.hAPP @t3931 @t4293) (tptp.hAPP (tptp.hAPP @t3928 (tptp.hAPP @t3927 @t2397)) @t289)))))) % 6.51/6.70 (assume @p3131 (forall @t2416 (=> @t2415 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t2414) @t51) @t2) @t73) (tptp.hAPP @t4295 @t2411))))) % 6.51/6.70 (assume @p3132 (forall @t2420 (=> @t2415 (= (tptp.hAPP @t4295 (tptp.hAPP (tptp.hAPP @t2419 @t4296) @t2)) (tptp.hAPP @t4296 (tptp.hAPP (tptp.hAPP @t2417 @t4295) @t2410)))))) % 6.51/6.70 (assume @p3133 (forall @t965 (= (tptp.hAPP @t3500 @t4268) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t3513) @t51) @t3534)))) % 6.51/6.70 (assume @p3134 (forall (@list @t289 @t13 @t721 @t8 @t74) (= @t4298 @t4297))) % 6.51/6.70 (assume @p3135 (forall (@list @t289 @t721 @t74 @t13 @t8) (= @t4297 @t4298))) % 6.51/6.70 (assume @p3136 (forall @t2321 (= (tptp.hAPP (tptp.hAPP @t4266 @t2320) @t721) (tptp.hAPP @t4284 (tptp.hAPP (tptp.hAPP @t2318 (tptp.hAPP (tptp.hAPP @t2317 @t4266) @t289)) @t721))))) % 6.51/6.70 (assume @p3137 (forall @t2315 (= (tptp.hAPP @t4267 (tptp.hAPP (tptp.hAPP @t2314 (tptp.hAPP (tptp.hAPP @t2313 @t4283) @t289)) @t721)) (tptp.hAPP (tptp.hAPP @t4283 @t2310) @t721)))) % 6.51/6.70 (assume @p3138 (forall @t2400 (= (tptp.hAPP @t4285 @t4299) (tptp.hAPP (tptp.hAPP @t3864 @t4286) (tptp.hAPP @t4285 @t289))))) % 6.51/6.70 (assume @p3139 (forall (@list @t2108 @t51 @t74 @t1010 @t8) (=> @t2415 (= (tptp.hBOOL (tptp.hAPP @t4300 (tptp.hAPP @t4295 @t2108))) (forall @t7 (=> @t742 (tptp.hBOOL (tptp.hAPP @t4300 @t2447)))))))) % 6.51/6.70 (assume @p3140 (forall (@list @t13 @t2 @t51 @t74 @t8) (=> @t2448 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 (tptp.hAPP @t4295 @t2)) @t13)) (exists @t7 (and @t742 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 @t5) @t13)))))))) % 6.51/6.70 (assume @p3141 (forall @t2433 (=> @t2432 (= (tptp.hAPP @t4272 @t2431) (tptp.hAPP @t1110 @t4273))))) % 6.51/6.70 (assume @p3142 (forall @t2434 (=> @t299 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t997 @t4273) @t2187))))) % 6.51/6.70 (assume @p3143 (forall @t2438 (=> @t2437 (= (tptp.hAPP (tptp.hAPP @t3950 @t2436) @t4279) @t4279)))) % 6.51/6.70 (assume @p3144 (forall @t2461 (=> @t2171 (=> @t249 (= (tptp.hAPP @t4262 @t2460) @t2108))))) % 6.51/6.70 (assume @p3145 (forall @t2455 (and (=> @t2443 (= @t4305 @t289)) (=> @t2444 (= @t4305 @t4303))))) % 6.51/6.70 (assume @p3146 (forall @t2455 (and (=> @t2443 (= @t4307 @t51)) (=> @t2444 (= @t4307 @t4306))))) % 6.51/6.70 (assume @p3147 (forall @t2455 (and (=> @t2443 (= @t4306 @t4212)) (=> @t2444 (= @t4306 @t4307))))) % 6.51/6.70 (assume @p3148 (forall @t2455 (and (=> @t2443 (= @t4303 @t4212)) (=> @t2444 (= @t4303 @t4305))))) % 6.51/6.70 (assume @p3149 (forall @t2459 (= (tptp.hAPP (tptp.hAPP @t4266 @t2458) @t289) (tptp.hAPP (tptp.hAPP @t3864 @t2187) @t4268)))) % 6.51/6.70 (assume @p3150 (forall @t2455 (and (=> @t2443 (= @t4310 @t4212)) (=> @t2444 (= @t4310 @t4308))))) % 6.51/6.70 (assume @p3151 (forall @t2455 (and (=> @t2443 (= @t4308 (tptp.hAPP (tptp.hAPP @t274 @t4212) @t289))) (=> @t2444 (= @t4308 @t4310))))) % 6.51/6.70 (assume @p3152 (forall @t2402 (= (tptp.hAPP (tptp.hAPP @t4266 @t1736) @t2108) (tptp.hAPP (tptp.hAPP @t3864 (tptp.hAPP @t4267 @t2108)) (tptp.hAPP (tptp.hAPP @t4266 @t289) @t2108))))) % 6.51/6.70 (assume @p3153 (forall @t2426 (= @t4312 @t4311))) % 6.51/6.70 (assume @p3154 (forall @t3939 (= @t4311 @t4312))) % 6.51/6.70 (assume @p3155 (forall (@list @t289 @t51 @t210 @t2917 @t74 @t8) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t4316) @t4313)))) % 6.51/6.70 (assume @p3156 (forall @t965 (= (tptp.hAPP @t749 @t2330) (tptp.hAPP @t4267 @t4317)))) % 6.51/6.70 (assume @p3157 (forall @t965 (= (tptp.hAPP @t749 @t4268) (tptp.hAPP @t2297 @t4317)))) % 6.51/6.70 (assume @p3158 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t1900) @t4203) @t4114) @t1901)) % 6.51/6.70 (assume @p3159 (forall @t2294 (=> @t2171 (=> @t746 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t818 (tptp.hAPP (tptp.hAPP @t4261 @t289) @t2)) @t4263)))))) % 6.51/6.70 (assume @p3160 (forall @t2455 (and (=> @t2443 (= @t4319 @t51)) (=> @t2444 (= @t4319 @t4318))))) % 6.51/6.70 (assume @p3161 (forall @t2455 (and (=> @t2443 (= @t4318 @t4212)) (=> @t2444 (= @t4318 @t4319))))) % 6.51/6.70 (assume @p3162 (forall @t2303 (=> @t2171 (=> @t2302 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t818 (tptp.hAPP @t4262 @t2108)) @t2300)))))) % 6.51/6.70 (assume @p3163 (forall @t2294 (=> @t2171 (=> @t184 (= (tptp.hAPP (tptp.hAPP @t4259 @t289) @t4263) (tptp.hAPP (tptp.hAPP @t4260 @t289) @t51)))))) % 6.51/6.70 (assume @p3164 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t3146) @t4222) tptp.c_Int_Ointrel))) % 6.51/6.70 (assume @p3165 (forall @t4258 (=> (forall @t430 (= @t4256 @t4255)) (= @t4241 @t4253)))) % 6.51/6.70 (assume @p3166 (forall @t4320 (=> (forall @t430 (tptp.hBOOL (tptp.hAPP @t4257 @t721))) (tptp.hBOOL (tptp.hAPP @t4254 @t721))))) % 6.51/6.70 (assume @p3167 (forall @t2324 (= @t4274 (forall @t7 (=> @t363 @t2323))))) % 6.51/6.70 (assume @p3168 (forall @t2326 (= @t4277 (forall @t7 (=> @t363 @t2325))))) % 6.51/6.70 (assume @p3169 (forall @t1828 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4321 @t3322) tptp.c_Int_OInteg)))) % 6.51/6.70 (assume @p3170 (forall (@list @t637 @t289 @t51 @t210 @t721 @t2 @t74 @t8) (=> @t4062 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3107 @t3) @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t2209) @t721)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3107 @t637) @t51)) (= (tptp.hAPP @t1088 (tptp.hAPP @t4284 @t289)) (tptp.hAPP @t4314 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t273 @t210) @t1088) @t289)))))))) % 6.51/6.70 (assume @p3171 (forall @t243 (= (tptp.c_Equiv__Relations_Oequiv @t8 @t4202 @t51) (tptp.c_Equiv__Relations_Oequivp @t8 (tptp.hAPP @t3466 @t51))))) % 6.51/6.70 (assume @p3172 (forall (@list @t261 @t100 @t73 @t201 @t8) (=> @t4324 (=> @t4323 (=> (tptp.hBOOL (tptp.hAPP @t4322 @t261)) (tptp.hBOOL (tptp.hAPP @t3297 @t261))))))) % 6.51/6.70 (assume @p3173 (forall (@list @t100 @t73 @t201 @t8) (=> @t4324 (=> @t4323 (tptp.hBOOL (tptp.hAPP @t4322 @t73)))))) % 6.51/6.70 (assume @p3174 (forall (@list @t73 @t201 @t8) (=> @t4324 (tptp.hBOOL (tptp.hAPP @t3297 @t73))))) % 6.51/6.70 (assume @p3175 (forall @t4326 (= @t4324 (forall @t396 (= (tptp.hBOOL (tptp.hAPP @t4325 @t43)) (= @t4325 (tptp.hAPP @t201 @t43))))))) % 6.51/6.70 (assume @p3176 (forall @t150 (tptp.c_Equiv__Relations_Oequivp @t8 tptp.c_fequal))) % 6.51/6.70 (assume @p3177 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t3433 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 6.51/6.70 (assume @p3178 (forall @t243 (=> @t2415 (=> @t184 (= @t4327 (tptp.hAPP (tptp.hAPP @t3962 @t4201) @t51)))))) % 6.51/6.70 (assume @p3179 (forall @t4331 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t8 @t4330) @t73)) @t4329))) % 6.51/6.70 (assume @p3180 (forall (@list @t2108 @t8) (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t4332 @t2108)) (tptp.hBOOL (tptp.hAPP @t182 @t3)))) (tptp.hBOOL (tptp.hAPP @t182 (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t2108)))))) % 6.51/6.70 (assume @p3181 (forall (@list @t138 @t721 @t51 @t8) (=> @t4336 (=> @t4335 @t4334)))) % 6.51/6.70 (assume @p3182 (forall (@list @t13 @t1791 @t8) (=> @t2448 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t476 (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t1791)) @t13)) (exists @t7 (and @t3006 (tptp.hBOOL (tptp.hAPP @t2048 @t13)))))))) % 6.51/6.70 (assume @p3183 (forall (@list @t51 @t58 @t8) (=> @t2415 (= (tptp.hBOOL (tptp.hAPP @t807 @t4327)) @t4337)))) % 6.51/6.70 (assume @p3184 (forall @t316 (= (tptp.hAPP @t1663 @t4339) (tptp.hAPP (tptp.hAPP @t4338 @t289) @t1663)))) % 6.51/6.70 (assume @p3185 (forall @t362 (=> @t4343 @t4342))) % 6.51/6.70 (assume @p3186 (forall @t362 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3518 @t289) @t51)) (tptp.hBOOL (tptp.hAPP @t4341 @t4339))))) % 6.51/6.70 (assume @p3187 (forall @t150 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t3514) @t4202))) % 6.51/6.70 (assume @p3188 (forall @t368 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t4344) (tptp.hAPP (tptp.hAPP @t3864 @t13) @t4339)))) % 6.51/6.70 (assume @p3189 (forall @t150 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t4209) @t56))) % 6.51/6.70 (assume @p3190 (forall @t106 (=> @t2415 (=> @t323 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t4327) @t73)))))) % 6.51/6.70 (assume @p3191 (forall @t3154 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3069 @t3150) @t3151)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.c_Wellfounded_Oacc @t8 @t3151)) (tptp.c_Wellfounded_Oacc @t8 @t3150)))))) % 6.51/6.70 (assume @p3192 (forall @t316 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t4345) (tptp.hAPP (tptp.hAPP @t3864 @t4340) @t4339)))) % 6.51/6.70 (assume @p3193 (forall @t14 (=> @t2415 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t70) @t13)))) % 6.51/6.70 (assume @p3194 (forall @t150 (=> @t2415 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t56) @t4201)))) % 6.51/6.70 (assume @p3195 (forall @t150 (=> @t2415 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t4202) @t72)))) % 6.51/6.70 (assume @p3196 (forall @t57 (=> @t2415 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t54) (tptp.hAPP @t3965 @t4327))))) % 6.51/6.70 (assume @p3197 (forall @t2381 (= @t4268 @t4348))) % 6.51/6.70 (assume @p3198 (forall @t4349 (= @t4348 @t4268))) % 6.51/6.70 (assume @p3199 (forall (@list @t13 @t2917 @t58 @t8) (=> @t4351 (=> @t3835 @t4350)))) % 6.51/6.70 (assume @p3200 (forall @t4353 (= @t4350 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t3086 @t13)) @t2917)) @t4352))))) % 6.51/6.70 (assume @p3201 (forall @t316 (= @t3866 (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t4354)))) % 6.51/6.70 (assume @p3202 (forall @t2426 (= (tptp.hAPP @t4287 @t4299) (tptp.hAPP (tptp.hAPP @t3864 (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t4356)) (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t4355))))) % 6.51/6.70 (assume @p3203 (forall @t316 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP (tptp.hAPP @t1662 @t4340) @t4339)) (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t4357))))) % 6.51/6.70 (assume @p3204 (forall @t71 (=> @t2415 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t67) @t3974)))) % 6.51/6.70 (assume @p3205 (forall @t316 (=> @t2415 (=> @t184 (= (tptp.hAPP (tptp.hAPP @t3869 @t289) @t4327) (tptp.hAPP (tptp.hAPP @t3962 @t289) @t51)))))) % 6.51/6.70 (assume @p3206 (forall @t243 (=> @t2415 (=> @t184 (=> @t249 (= @t4025 @t4327)))))) % 6.51/6.70 (assume @p3207 (forall @t4361 (=> @t4360 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t74 @t4358) @t4202) @t51)))) % 6.51/6.70 (assume @p3208 (forall @t4361 (=> @t4360 (= (tptp.hAPP (tptp.c_Set_Oimage @t74 @t8 @t4359) @t51) @t4202)))) % 6.51/6.70 (assume @p3209 (forall @t4364 (=> @t4360 (=> @t352 (=> @t4363 (= (= (tptp.hAPP @t4359 @t73) @t4362) @t328)))))) % 6.51/6.70 (assume @p3210 (forall @t2152 (= @t4366 (tptp.hAPP (tptp.hAPP @t4338 @t1791) @t4365)))) % 6.51/6.70 (assume @p3211 (forall @t4368 (=> @t4360 (= (tptp.hAPP @t4359 @t4367) @t73)))) % 6.51/6.70 (assume @p3212 (forall @t4364 (=> @t4360 (= (= @t4367 (tptp.hAPP @t4358 @t100)) @t328)))) % 6.51/6.70 (assume @p3213 (forall @t4368 (=> @t4360 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t4367) @t51))))) % 6.51/6.70 (assume @p3214 (forall (@list @t100 @t51 @t4359 @t4358 @t74 @t8) (=> @t4360 (=> @t4363 (= (tptp.hAPP @t4358 @t4362) @t100))))) % 6.51/6.70 (assume @p3215 (forall (@list @t179 @t176 @t201 @t8) (= (tptp.c_Wellfounded_Omax__extp @t8 @t201 @t176 @t179) (and @t4373 @t4372 @t4371 (forall @t7 (=> @t4370 (exists @t2329 (and @t4369 (tptp.hBOOL (tptp.hAPP @t4325 @t2327)))))))))) % 6.51/6.70 (assume @p3216 (forall @t243 (=> @t2415 (=> @t184 (= @t4374 (tptp.hAPP (tptp.hAPP @t1770 @t72) @t51)))))) % 6.51/6.70 (assume @p3217 (forall (@list @t201 @t1460 @t138 @t8) (=> @t4377 (=> (tptp.hBOOL (tptp.hAPP @t182 @t1460)) (=> (not (= @t1460 @t56)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 @t138)) (exists @t2329 (and (tptp.hBOOL (tptp.hAPP @t2328 @t1460)) @t4376)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3293 (tptp.hAPP (tptp.hAPP @t3291 @t138) @t1460)) @t3460)))))))) % 6.51/6.70 (assume @p3218 (forall (@list @t51 @t721 @t138 @t8) (=> @t4335 (=> @t4334 @t4379)))) % 6.51/6.70 (assume @p3219 (forall (@list @t1791 @t2 @t8 @t74) (= (tptp.hAPP @t1093 (tptp.c_Complete__Lattice_OSup__class_OSup @t273 @t1791)) (tptp.hAPP (tptp.hAPP @t4380 @t1791) @t1093)))) % 6.51/6.70 (assume @p3220 (forall @t2381 (= @t4385 @t4382))) % 6.51/6.70 (assume @p3221 (forall @t2381 (= @t4382 @t4385))) % 6.51/6.70 (assume @p3222 (forall @t362 (= (tptp.hAPP (tptp.hAPP @t3864 @t4388) @t51) (tptp.hAPP @t4387 (tptp.hAPP (tptp.hAPP @t1578 @t3864) @t51))))) % 6.51/6.70 (assume @p3223 (forall @t316 (= (tptp.hAPP @t3865 @t4388) (tptp.hAPP @t4387 @t3865)))) % 6.51/6.70 (assume @p3224 (forall (@list @t1791 @t13 @t8) (=> @t2448 (= (tptp.hBOOL (tptp.hAPP @t690 (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t1791))) (exists @t7 (and @t3006 (tptp.hBOOL (tptp.hAPP @t690 @t3)))))))) % 6.51/6.70 (assume @p3225 (forall @t243 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t3501) @t51))) % 6.51/6.70 (assume @p3226 (forall @t4326 (= (tptp.hAPP @t3591 (tptp.c_Complete__Lattice_OSup__class_OSup @t3068 @t201)) (tptp.c_Complete__Lattice_OSup__class_OSup @t55 (tptp.hAPP (tptp.c_Set_Oimage @t3068 @t55 @t3591) @t201))))) % 6.51/6.70 (assume @p3227 (forall @t4390 (=> @t2415 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t4374) @t58)) @t4389)))) % 6.51/6.70 (assume @p3228 (forall @t4392 (= (= (tptp.hAPP (tptp.hAPP @t3864 @t4378) @t51) @t56) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4332 @t721)) (= (tptp.hAPP @t4391 @t51) @t56)))))) % 6.51/6.70 (assume @p3229 (forall @t362 (=> @t4343 (tptp.hBOOL (tptp.hAPP @t779 @t4393))))) % 6.51/6.70 (assume @p3230 (forall @t150 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t3514) @t56))) % 6.51/6.70 (assume @p3231 (forall @t316 (=> (tptp.hBOOL (tptp.hAPP @t4394 @t289)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t4393) @t4388))))) % 6.51/6.70 (assume @p3232 (forall @t368 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t4344) (tptp.hAPP (tptp.hAPP @t1662 @t13) @t4388)))) % 6.51/6.70 (assume @p3233 (forall @t3820 (=> @t3839 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t3819) @t51)))) % 6.51/6.70 (assume @p3234 (forall @t243 (=> @t4396 @t4395))) % 6.51/6.70 (assume @p3235 (forall @t243 (tptp.hBOOL (tptp.hAPP @t4394 (tptp.hAPP @t3500 @t4393))))) % 6.51/6.70 (assume @p3236 (forall @t150 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t4209) @t4202))) % 6.51/6.70 (assume @p3237 (forall @t316 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t4345) (tptp.hAPP (tptp.hAPP @t1662 @t4393) @t4388)))) % 6.51/6.70 (assume @p3238 (forall @t4349 (= @t4397 @t2330))) % 6.51/6.70 (assume @p3239 (forall @t2381 (= @t2330 @t4397))) % 6.51/6.70 (assume @p3240 (forall @t106 (=> @t2415 (=> @t323 (tptp.hBOOL (tptp.hAPP @t838 @t4374)))))) % 6.51/6.70 (assume @p3241 (forall @t150 (=> @t2415 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t56) @t72)))) % 6.51/6.70 (assume @p3242 (forall @t14 (=> @t2415 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t70) @t13)))) % 6.51/6.70 (assume @p3243 (forall @t57 (=> @t2415 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t54) (tptp.hAPP @t1773 @t4374))))) % 6.51/6.70 (assume @p3244 (forall @t150 (=> @t2415 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t4202) @t4201)))) % 6.51/6.70 (assume @p3245 (forall @t2381 (= @t4399 @t4398))) % 6.51/6.70 (assume @p3246 (forall @t2381 (= @t4398 @t4399))) % 6.51/6.70 (assume @p3247 (forall @t316 (= @t1664 (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t4354)))) % 6.51/6.70 (assume @p3248 (forall @t2426 (= (tptp.hAPP @t2421 @t2399) (tptp.hAPP (tptp.hAPP @t1662 (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t4356)) (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t4355))))) % 6.51/6.70 (assume @p3249 (forall @t316 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t4357)) (tptp.hAPP (tptp.hAPP @t3864 @t4393) @t4388))))) % 6.51/6.70 (assume @p3250 (forall @t71 (=> @t2415 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t67) @t1774)))) % 6.51/6.70 (assume @p3251 (forall @t316 (=> @t2415 (=> @t184 (= (tptp.hAPP (tptp.hAPP @t1677 @t289) @t4374) (tptp.hAPP (tptp.hAPP @t1770 @t289) @t51)))))) % 6.51/6.70 (assume @p3252 (forall @t243 (=> @t2415 (=> @t184 (=> @t249 (= @t1817 @t4374)))))) % 6.51/6.70 (assume @p3253 (forall @t150 (= (tptp.c_Nitpick_Ozero__frac @t8) (tptp.c_Nitpick_OAbs__Frac @t8 @t3061)))) % 6.51/6.70 (assume @p3254 (forall (@list @t2 @t74 @t8 @t1791) (=> (not (= @t1791 @t3514)) (=> (forall @t272 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3510 @t266) @t1791)) (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t266))) (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t4366))))) % 6.51/6.70 (assume @p3255 (forall @t316 (=> (forall @t4402 (=> (tptp.hBOOL (tptp.hAPP @t4401 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t4400) @t289)))) (=> (not (= @t51 @t3514)) @t4342)))) % 6.51/6.70 (assume @p3256 (forall @t2152 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t1791) (tptp.hAPP (tptp.hAPP @t4386 @t1791) @t4365)))) % 6.51/6.70 (assume @p3257 (forall @t150 (= (tptp.c_Nitpick_Oone__frac @t8) (tptp.c_Nitpick_OAbs__Frac @t8 (tptp.hAPP (tptp.hAPP @t2919 @t1477) @t1477))))) % 6.51/6.70 (assume @p3258 (forall @t2251 (= (tptp.c_Nitpick_Onumber__of__frac @t8 @t336) (tptp.c_Nitpick_OAbs__Frac @t8 (tptp.hAPP (tptp.hAPP @t2919 @t336) @t1477))))) % 6.51/6.70 (assume @p3259 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t4403 @t348) @t39) (tptp.c_Nitpick_OAbs__Frac @t8 (tptp.c_Nitpick_Onorm__frac @t348 @t39))))) % 6.51/6.70 (assume @p3260 (forall @t243 (=> @t4395 (=> (forall (@list @t4404) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3510 @t4404) @t51)) (tptp.hBOOL (tptp.hAPP @t182 @t4404)))) @t4396)))) % 6.51/6.70 (assume @p3261 (forall (@list @t244 @t73 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t3579 @t244))) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4332 @t4405)) (forall @t2329 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3510 @t2327) @t4405)) (=> @t3758 (= (tptp.hAPP @t4391 @t2327) @t56)))))) (= (tptp.hAPP (tptp.hAPP @t3864 @t73) (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t244)) @t56))))) % 6.51/6.70 (assume @p3262 (forall (@list @t205 @t721 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3526 @t721)) (=> (tptp.hBOOL (tptp.hAPP @t182 @t4378)) (=> (forall (@list @t4408) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3510 @t4408) @t721)) (= (tptp.hAPP @t402 @t4408) @t205))) (=> (forall (@list @t4407) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3510 @t4407) @t721)) (forall (@list @t4406) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3510 @t4406) @t721)) (=> (not (= @t4407 @t4406)) (= (tptp.hAPP (tptp.hAPP @t3864 @t4407) @t4406) @t56)))))) (= (tptp.hAPP @t1154 (tptp.hAPP @t3502 @t721)) (tptp.hAPP @t402 @t4378)))))))) % 6.51/6.70 (assume @p3263 (forall (@list @t138 @t8) (= (tptp.c_Set_Othe__elem @t8 @t138) (tptp.c_HOL_OThe @t8 (tptp.hAPP (tptp.hAPP @t4409 (tptp.hAPP tptp.c_fequal @t138)) @t1577))))) % 6.51/6.70 (assume @p3264 (forall (@list @t205 @t2 @t281) (=> (forall @t1336 (=> @t4415 @t4413)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t3768) @t205)) (=> @t4412 (exists @t1336 (and @t4411 @t4410))))))) % 6.51/6.70 (assume @p3265 (forall @t4418 (= (tptp.c_HOL_OThe @t2930 @t117) (tptp.c_HOL_OThe @t2930 @t4417)))) % 6.51/6.70 (assume @p3266 (forall @t2952 (= (tptp.c_HOL_OThe @t2930 @t4422) @t2935))) % 6.51/6.70 (assume @p3267 (forall (@list @t73 @t2 @t51 @t74 @t8) (= @t4095 (tptp.c_HOL_OThe @t8 (tptp.hAPP @t4429 (tptp.hAPP @t4426 @t73)))))) % 6.51/6.70 (assume @p3268 (forall (@list @t51 @t261 @t2 @t8 @t74) (= (tptp.hAPP @t1573 @t51) (tptp.c_HOL_OThe @t8 (tptp.c_Finite__Set_Ofold__graph @t74 @t8 @t2 @t261 @t51))))) % 6.51/6.70 (assume @p3269 (forall @t634 (= @t3148 (tptp.c_HOL_OThe @t3146 @t3274)))) % 6.51/6.70 (assume @p3270 (forall @t2959 (= @t1258 (tptp.c_HOL_OThe @t8 @t374)))) % 6.51/6.70 (assume @p3271 (forall @t4418 (= (tptp.c_HOL_OThe @t2930 @t4431) (tptp.c_HOL_OThe @t2930 @t4430)))) % 6.51/6.70 (assume @p3272 (forall @t4390 (and (=> @t4433 (= @t4432 @t58)) (=> (not @t4433) (= @t4432 (tptp.c_HOL_OThe @t8 (tptp.hAPP @t1792 (tptp.hAPP @t310 @t66)))))))) % 6.51/6.70 (assume @p3273 (forall @t4436 (=> @t4207 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t4435) (tptp.hAPP (tptp.hAPP @t52 (tptp.c_HOL_OThe @t8 (tptp.hAPP @t4426 @t13))) @t56)))))) % 6.51/6.70 (assume @p3274 (forall @t1588 (= (tptp.hAPP @t4437 @t2) (tptp.c_Option_Ooption_Ooption__case @t418 @t8 @t159 @t4230)))) % 6.51/6.70 (assume @p3275 (forall (@list @t74 @t289 @t8 @t58 @t13 @t2) (=> @t4440 (=> (tptp.hBOOL (tptp.hAPP @t329 @t289)) (tptp.hBOOL (tptp.hAPP @t381 @t4439)))))) % 6.51/6.70 (assume @p3276 (forall @t1163 (= (tptp.hAPP @t4434 @t1162) (tptp.hAPP (tptp.hAPP @t309 @t4442) @t4441)))) % 6.51/6.70 (assume @p3277 (forall @t1107 (= (tptp.hAPP @t4443 @t159) @t149))) % 6.51/6.70 (assume @p3278 (forall (@list @t4444 @t2 @t8 @t74) (= (= (tptp.hAPP @t4443 @t4444) @t149) (= @t4444 @t159)))) % 6.51/6.70 (assume @p3279 (forall @t4445 (= (tptp.hAPP @t4443 @t420) (tptp.hAPP @t87 @t115)))) % 6.51/6.70 (assume @p3280 (forall (@list @t100 @t174 @t2 @t8 @t74) (= (= (tptp.hAPP @t4443 @t174) @t114) (exists @t4120 (and (= @t174 (tptp.hAPP @t127 @t4119)) (= (tptp.hAPP @t2 @t4119) @t100)))))) % 6.51/6.70 (assume @p3281 (forall @t1115 (=> @t746 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t997 @t4446) @t4439))))) % 6.51/6.70 (assume @p3282 (forall @t1163 (= (tptp.hAPP @t4434 @t1736) (tptp.hAPP (tptp.hAPP @t1662 @t4442) @t4441)))) % 6.51/6.70 (assume @p3283 (forall @t1588 (= (tptp.hAPP @t4434 @t386) @t56))) % 6.51/6.70 (assume @p3284 (forall @t1506 (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t8 @t1505) @t1460) @t1460))) % 6.51/6.70 (assume @p3285 (forall @t4098 (= (tptp.hBOOL (tptp.hAPP @t4442 @t73)) (tptp.hBOOL (tptp.hAPP @t51 @t115))))) % 6.51/6.70 (assume @p3286 (forall @t1108 (= (tptp.hAPP @t4434 @t4237) (tptp.hAPP @t749 @t4442)))) % 6.51/6.70 (assume @p3287 (forall @t1163 (= (tptp.hAPP @t4434 @t3952) (tptp.hAPP (tptp.hAPP @t3864 @t4442) @t4441)))) % 6.51/6.70 (assume @p3288 (forall @t1588 (= (tptp.hAPP @t4434 @t4212) @t4202))) % 6.51/6.70 (assume @p3289 (forall (@list @t289 @t2 @t74 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t298 @t4441)) (tptp.hBOOL (tptp.hAPP @t4077 @t289))))) % 6.51/6.70 (assume @p3290 (forall (@list @t51 @t2 @t74 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t298 @t4442)) (tptp.hBOOL (tptp.hAPP @t4077 @t51))))) % 6.51/6.70 (assume @p3291 (forall (@list @t74 @t51 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t530) @t51)) (tptp.hBOOL (tptp.hAPP @t381 @t4446))))) % 6.51/6.70 (assume @p3292 (forall @t4448 (= (tptp.hAPP @t4434 @t4315) (tptp.hAPP @t4284 @t4447)))) % 6.51/6.70 (assume @p3293 (forall @t4448 (= (tptp.hAPP @t4434 @t2320) (tptp.hAPP @t2319 @t4447)))) % 6.51/6.70 (assume @p3294 (forall (@list @t378 @t2 @t210 @t74 @t8) (= (tptp.c_Map_Odom @t8 @t74 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t4450 @t418) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4231 (tptp.tc_fun @t4450 @t418) @t8) @t4449) @t2)) @t378)) (tptp.c_Map_Odom @t8 @t210 @t378)))) % 6.51/6.70 (assume @p3295 (forall @t1108 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t4451) @t51)))) % 6.51/6.70 (assume @p3296 (forall @t1106 (=> @t4238 (= @t4451 @t51)))) % 6.51/6.70 (assume @p3297 (forall @t1108 (= (tptp.hAPP @t4434 @t4381) (tptp.hAPP @t4384 @t4434)))) % 6.51/6.70 (assume @p3298 (forall (@list @t58 @t2 @t74 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t298 (tptp.hAPP @t4434 (tptp.hAPP @t4452 @t386)))) @t4440))) % 6.51/6.70 (assume @p3299 (forall (@list @t289 @t13 @t2 @t74 @t8) (= (tptp.hAPP @t4434 @t1111) (tptp.hAPP (tptp.hAPP @t1662 @t4435) @t4441)))) % 6.51/6.70 (assume @p3300 (forall (@list @t244 @t1096 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP @t182 (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t74 @t1096) @t244))) (=> (= (tptp.hAPP @t1097 @t4202) @t4212) (tptp.hBOOL (tptp.hAPP @t259 @t244)))))) % 6.51/6.70 (assume @p3301 (forall (@list @t51 @t289 @t2 @t8 @t74) (=> @t4238 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t997 @t4439) @t51)) @t1117)))) % 6.51/6.70 (assume @p3302 (forall @t1106 (= @t4451 (tptp.hAPP @t3865 @t4223)))) % 6.51/6.70 (assume @p3303 (forall @t1098 (=> @t776 (=> (tptp.c_Fun_Oinj__on @t74 @t8 @t1096 @t4212) (tptp.hBOOL (tptp.hAPP @t259 (tptp.hAPP (tptp.c_Set_Ovimage @t74 @t8 @t1096) @t244))))))) % 6.51/6.70 (assume @p3304 (forall @t1108 (=> @t4207 (= (tptp.hAPP @t4434 @t1089) @t51)))) % 6.51/6.70 (assume @p3305 (forall (@list @t74 @t51 @t18 @t8) (and (=> @t292 (= @t4454 @t4212)) (=> @t293 (= @t4454 @t386))))) % 6.51/6.70 (assume @p3306 (forall @t4455 (= @t4441 (tptp.hAPP @t2401 (tptp.hAPP (tptp.hAPP @t3692 @t4434) @t3691))))) % 6.51/6.70 (assume @p3307 (forall @t4044 (=> @t4207 (=> @t1161 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t4441) @t51)))))) % 6.51/6.70 (assume @p3308 (forall (@list @t289 @t74 @t60 @t51 @t18 @t8) (and (=> @t292 (and (=> @t4459 (= @t4458 @t4212)) (=> @t4460 (= @t4458 @t289)))) (=> @t293 (and (=> @t4459 (= @t4458 (tptp.hAPP @t4236 @t289))) (=> @t4460 (= @t4458 @t386))))))) % 6.51/6.70 (assume @p3309 (forall (@list @t51 @t1 @t2 @t74 @t8 @t210) (= (tptp.hAPP (tptp.c_Set_Oimage @t210 @t2930 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t210 @t74 @t2930) @t4463) @t1)) @t51) (tptp.hAPP (tptp.hAPP @t4462 (tptp.hAPP @t4221 @t51)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2190 @t273 @t8) @t1508) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t2190 @t2190) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2190 @t4461 @t8) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2190)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t2190 @t8) (tptp.c_Set_Ovimage @t210 @t8 @t2)) @t1577))) @t51)))))) % 6.51/6.70 (assume @p3310 (forall @t3009 (=> @t2151 (=> @t3007 @t3008)))) % 6.51/6.70 (assume @p3311 (forall @t4466 (=> @t4465 (not (forall @t7 (not (= @t100 @t4464))))))) % 6.51/6.70 (assume @p3312 (forall @t2299 (=> @t299 (=> @t2298 @t4469)))) % 6.51/6.70 (assume @p3313 (forall (@list @t289 @t138 @t74 @t8) (= (tptp.hAPP (tptp.hAPP @t4462 (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t138)) @t289) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t55 @t2931) @t138) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t55 @t2944 @t2931) @t4462) @t289))))) % 6.51/6.70 (assume @p3314 (forall @t4476 (=> @t4475 (= (= @t4474 @t4472) @t297)))) % 6.51/6.70 (assume @p3315 (forall @t4481 (= (tptp.hAPP (tptp.hAPP @t4462 (tptp.hAPP (tptp.hAPP @t309 @t2383) @t3929)) @t721) (tptp.hAPP (tptp.hAPP @t4480 @t4479) @t4477)))) % 6.51/6.70 (assume @p3316 (forall @t4486 (= (tptp.hAPP (tptp.hAPP @t4462 @t311) @t4482) (tptp.hAPP (tptp.hAPP @t4480 @t4485) @t4484)))) % 6.51/6.70 (assume @p3317 (forall @t2387 (= (tptp.hAPP @t4478 (tptp.hAPP (tptp.hAPP @t4489 @t4309) @t289)) (tptp.hAPP (tptp.hAPP @t4480 @t4488) @t4487)))) % 6.51/6.70 (assume @p3318 (forall (@list @t289 @t74 @t8) (= (tptp.hAPP (tptp.hAPP @t4462 @t56) @t289) @t2950))) % 6.51/6.70 (assume @p3319 (forall @t965 (= (tptp.hAPP @t4492 @t4491) (tptp.hAPP (tptp.hAPP @t855 @t403) @t759)))) % 6.51/6.70 (assume @p3320 (forall @t3734 (=> @t1121 (= @t3733 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t3168 @t8) @t3164) @t4495))))) % 6.51/6.70 (assume @p3321 (forall @t965 (= (= @t4491 @t2950) (or @t248 @t1072)))) % 6.51/6.70 (assume @p3322 (forall @t2974 (= (tptp.hAPP @t4467 (tptp.hAPP @t2378 @t386)) @t2950))) % 6.51/6.70 (assume @p3323 (forall @t2974 (= (tptp.hAPP @t4497 (tptp.hAPP @t4467 @t4496)) (tptp.hAPP (tptp.hAPP @t4462 @t781) @t4496)))) % 6.51/6.70 (assume @p3324 (forall @t2974 (= (tptp.hAPP @t4497 (tptp.hAPP @t4498 @t4499)) (tptp.hAPP @t4498 (tptp.hAPP @t2378 @t4237))))) % 6.51/6.70 (assume @p3325 (forall @t3734 (=> @t913 (= (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t3732 (tptp.hAPP (tptp.hAPP @t3730 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t210 @t8)) @t2)) @t289)) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t3168 @t8) @t3164) @t4495))))) % 6.51/6.70 (assume @p3326 (forall @t4481 (= (tptp.hAPP (tptp.hAPP @t4462 (tptp.hAPP (tptp.hAPP @t1662 @t2383) @t3929)) @t721) (tptp.hAPP (tptp.hAPP @t2932 @t4479) @t4477)))) % 6.51/6.70 (assume @p3327 (forall @t4486 (= (tptp.hAPP (tptp.hAPP @t4462 @t1664) @t4482) (tptp.hAPP (tptp.hAPP @t2932 @t4485) @t4484)))) % 6.51/6.70 (assume @p3328 (forall @t2387 (= (tptp.hAPP @t4478 (tptp.hAPP (tptp.hAPP @t4489 @t2451) @t289)) (tptp.hAPP (tptp.hAPP @t2932 @t4488) @t4487)))) % 6.51/6.70 (assume @p3329 (forall @t2381 (= (tptp.hAPP (tptp.c_Set_Oimage @t3674 @t2930 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t74 @t8 @t2930) @t4501)) @t4500) (tptp.hAPP @t4483 @t4499)))) % 6.51/6.70 (assume @p3330 (forall @t766 (=> @t184 (=> @t765 @t4502)))) % 6.51/6.70 (assume @p3331 (forall @t3820 (=> @t3839 @t4506))) % 6.51/6.70 (assume @p3332 (forall @t2387 (= (tptp.hAPP @t4478 (tptp.hAPP (tptp.hAPP @t4489 @t4301) @t289)) (tptp.hAPP (tptp.hAPP @t4014 @t4488) @t4487)))) % 6.51/6.70 (assume @p3333 (forall @t4486 (= (tptp.hAPP (tptp.hAPP @t4462 @t3866) @t4482) (tptp.hAPP (tptp.hAPP @t4014 @t4485) @t4484)))) % 6.51/6.70 (assume @p3334 (forall @t4481 (= (tptp.hAPP (tptp.hAPP @t4462 (tptp.hAPP (tptp.hAPP @t3864 @t2383) @t3929)) @t721) (tptp.hAPP (tptp.hAPP @t4014 @t4479) @t4477)))) % 6.51/6.70 (assume @p3335 (forall @t243 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3069 @t3814) @t4505)))) % 6.51/6.70 (assume @p3336 (forall @t1586 (= (tptp.hAPP @t4498 @t4496) @t4213))) % 6.51/6.70 (assume @p3337 (forall @t4507 (=> @t4469 (not (=> @t299 (not @t2298)))))) % 6.51/6.70 (assume @p3338 (forall @t4507 (=> @t4469 @t2298))) % 6.51/6.70 (assume @p3339 (forall @t4507 (=> @t4469 @t299))) % 6.51/6.70 (assume @p3340 (forall @t4507 (= @t4469 (and @t299 @t2298)))) % 6.51/6.70 (assume @p3341 (forall (@list @t51 @t73 @t74 @t8) (= (tptp.hAPP @t4492 (tptp.hAPP (tptp.hAPP @t4462 @t86) @t4499)) @t3771))) % 6.51/6.70 (assume @p3342 (forall @t4476 (=> @t4475 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4509 @t4474) @t4472)) (tptp.hBOOL (tptp.hAPP @t4508 @t289)))))) % 6.51/6.70 (assume @p3343 (forall (@list @t721 @t289 @t51 @t2917 @t74 @t8) (=> @t4511 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t997 (tptp.hAPP @t3669 @t721)) @t289))))) % 6.51/6.70 (assume @p3344 (forall @t965 (=> @t4502 (=> @t249 @t765)))) % 6.51/6.70 (assume @p3345 (forall @t965 (=> @t4502 (=> (not @t1072) @t184)))) % 6.51/6.70 (assume @p3346 (forall (@list @t51 @t74 @t8 @t289) (and (=> @t1005 (= @t4513 @t386)) (=> @t1006 (= @t4513 @t51))))) % 6.51/6.70 (assume @p3347 (forall (@list @t289 @t74 @t8 @t51) (and (=> @t248 (= @t4515 @t386)) (=> @t249 (= @t4515 @t289))))) % 6.51/6.70 (assume @p3348 (forall (@list @t289 @t58 @t51 @t13 @t74 @t8) (= (tptp.hAPP @t4516 @t4517) (tptp.hAPP @t4519 (tptp.hAPP (tptp.hAPP @t2932 (tptp.hAPP @t4467 @t4517)) (tptp.hAPP @t4516 @t4490)))))) % 6.51/6.70 (assume @p3349 (forall (@list @t138 @t2917 @t51 @t8) (=> @t184 (=> @t4506 (=> @t3841 @t4377))))) % 6.51/6.70 (assume @p3350 (forall (@list @t244 @t4520 @t289 @t51 @t74 @t8 @t3169 @t210) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4525 @t2931) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t210 @t3169) @t51) (tptp.hAPP (tptp.c_COMBK @t4524 @t210) @t289))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t210 @t3169 @t2931) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t210 @t4523 @t4522) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4521 (tptp.tc_fun @t4523 @t4522) @t210) (tptp.c_COMBB @t2944 @t2931 @t3169)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t4521 @t210) @t4462) @t4520))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t273 @t2944 @t3169) @t2378) @t244)))) (tptp.hAPP (tptp.hAPP @t4462 (tptp.hAPP @t2319 @t4520)) (tptp.hAPP @t2378 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3169 @t273) @t289) @t244)))))) % 6.51/6.70 (assume @p3351 (forall @t965 (= @t4468 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t2931) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t4528 @t2931) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t273 (tptp.tc_fun @t4528 @t2931) @t8) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t2931)) @t289)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t2931 @t4528) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4527 (tptp.tc_fun @t2931 @t4528) @t8) (tptp.c_COMBC @t74 @t2931 @t2931)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2940 @t4527 @t8) (tptp.hAPP (tptp.c_COMBB @t2930 @t4526 @t74) @t4518)) @t2933))) @t2950)))))) % 6.51/6.70 (assume @p3352 (forall @t3820 (=> @t184 (=> @t4506 (tptp.hBOOL (tptp.hAPP @t3526 @t3819)))))) % 6.51/6.70 (assume @p3353 (forall (@list @t51 @t2383 @t74 @t8) (exists @t3524 (and (tptp.c_Fun_Oinj__on @t8 @t3674 @t3232 @t2386) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4509 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t3674 @t3232) @t2386)) (tptp.hAPP (tptp.hAPP @t4471 @t2383) @t51))))))) % 6.51/6.70 (assume @p3354 (forall (@list @t1 @t289 @t74 @t51 @t8 @t210) (=> @t4535 (=> @t184 (=> @t2210 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4534 (tptp.hAPP (tptp.hAPP @t4533 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t210 @t4532) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3166 (tptp.tc_fun @t210 @t4532) @t8) @t4531) @t1)) @t4529)) @t289)) @t4529) @t51) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t210 @t2930 @t4530) (tptp.hAPP @t3104 @t1)) @t4529) @t4468))))))) % 6.51/6.70 (assume @p3355 (forall @t766 (=> @t184 (=> @t4536 (tptp.hBOOL (tptp.hAPP @t4214 @t4468)))))) % 6.51/6.70 (assume @p3356 (forall @t4540 (=> @t4535 (=> @t184 (=> @t2210 (= (tptp.hAPP (tptp.hAPP @t4539 (tptp.hAPP (tptp.hAPP @t4533 (tptp.hAPP (tptp.hAPP @t4538 @t4537) @t2)) @t289)) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2930 @t210) @t3105) @t4468))))))) % 6.51/6.70 (assume @p3357 (forall @t4540 (=> @t4544 (=> @t184 (=> @t2210 (= (tptp.hAPP (tptp.hAPP @t4543 (tptp.hAPP @t4542 @t289)) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2930 @t210) @t3105) @t4468))))))) % 6.51/6.70 (assume @p3358 (forall @t766 (=> @t184 (=> @t2210 (= (tptp.hAPP @t4492 @t4468) (tptp.hAPP (tptp.hAPP @t3725 (tptp.hAPP @t4545 @t289)) @t51)))))) % 6.51/6.70 (assume @p3359 (forall (@list @t289 @t51 @t18 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4548 @t4468)) (not (forall @t7 (=> @t363 (forall @t45 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t43) @t2209)) (not (= @t18 @t4547)))))))))) % 6.51/6.70 (assume @p3360 (forall (@list @t1 @t210 @t3169 @t2 @t8 @t74) (=> @t4238 (=> (= (tptp.hAPP @t4554 (tptp.c_Orderings_Otop__class_Otop @t4524)) @t4553) (= (tptp.hAPP @t4552 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4551 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t4550)))))) % 6.51/6.70 (assume @p3361 (forall (@list @t289 @t1 @t3169 @t210 @t51 @t2 @t74 @t8) (=> @t4042 (=> (tptp.c_Fun_Oinj__on @t210 @t3169 @t1 @t289) (tptp.c_Fun_Oinj__on @t4549 @t4551 (tptp.c_Product__Type_Omap__pair @t8 @t74 @t210 @t3169 @t2 @t1) (tptp.hAPP @t4557 (tptp.hAPP @t4555 @t289))))))) % 6.51/6.70 (assume @p3362 (forall (@list @t1 @t2 @t3169 @t210 @t201 @t58 @t13 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3110 @t201)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4561 (tptp.hAPP (tptp.hAPP @t4560 @t530) @t4559)) (tptp.hAPP (tptp.c_Set_Oimage @t2930 @t4525 @t4558) @t201)))))) % 6.51/6.70 (assume @p3363 (forall (@list @t73 @t1 @t2 @t3169 @t210 @t74 @t8) (= (tptp.hAPP @t3250 (tptp.hAPP @t4562 @t73)) @t4186))) % 6.51/6.70 (assume @p3364 (forall (@list @t73 @t1 @t2 @t3169 @t210 @t8 @t74) (= (tptp.hAPP @t3252 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t210 @t74 @t3169 @t8 @t2 @t1) @t73)) @t4184))) % 6.51/6.70 (assume @p3365 (forall (@list @t58 @t13 @t1 @t2 @t74 @t3169 @t8 @t210) (= (tptp.hAPP @t4562 (tptp.hAPP (tptp.hAPP @t4560 @t13) @t58)) (tptp.hAPP (tptp.hAPP @t2933 @t530) @t4559)))) % 6.51/6.70 (assume @p3366 (forall (@list @t261 @t74 @t8) (= (tptp.hAPP @t4563 @t261) @t261))) % 6.51/6.70 (assume @p3367 (forall (@list @t1 @t2 @t3169 @t74 @t210 @t8) (= @t4558 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t74 @t4525) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4566 @t4565) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4564 (tptp.tc_fun @t4566 @t4565) @t8) (tptp.c_COMBB @t3169 @t4525 @t74)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t210 @t4564 @t8) @t4560) @t2))) @t1))))) % 6.51/6.70 (assume @p3368 (forall (@list @t4567 @t289 @t1 @t210 @t3169 @t3671 @t51 @t2 @t8 @t74) (=> (= @t1094 @t3671) (=> (= (tptp.hAPP @t4554 @t289) @t4567) (= (tptp.hAPP @t4552 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t74 @t3169) @t51) (tptp.hAPP (tptp.c_COMBK @t4524 @t74) @t289))) (tptp.hAPP (tptp.hAPP @t4556 @t3671) (tptp.hAPP @t4555 @t4567))))))) % 6.51/6.70 (assume @p3369 (forall (@list @t201 @t1 @t2 @t3169 @t210 @t18 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4548 (tptp.hAPP (tptp.c_Set_Oimage @t4525 @t2930 @t4562) @t201))) (not (forall @t396 (=> (= @t18 (tptp.hAPP (tptp.hAPP @t2933 @t5) (tptp.hAPP @t1 @t43))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4561 (tptp.hAPP (tptp.hAPP @t4560 @t3) @t43)) @t201))))))))) % 6.51/6.70 (assume @p3370 (forall @t3820 (= @t4569 (and @t4506 @t4568)))) % 6.51/6.70 (assume @p3371 (forall (@list @t117 @t100) (=> @t4465 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t117 @t4464))) @t4570)))) % 6.51/6.70 (assume @p3372 (forall @t243 (tptp.c_Relation_Orefl__on @t8 @t51 @t3814))) % 6.51/6.70 (assume @p3373 (forall @t150 (tptp.c_Relation_Orefl__on @t8 @t56 @t3070))) % 6.51/6.70 (assume @p3374 (forall @t4572 (=> @t4569 (=> @t4571 (tptp.c_Relation_Orefl__on @t8 @t1664 @t3602))))) % 6.51/6.70 (assume @p3375 (forall @t4572 (=> @t4569 (=> @t4571 (tptp.c_Relation_Orefl__on @t8 @t3866 (tptp.hAPP @t4574 @t428)))))) % 6.51/6.70 (assume @p3376 (forall @t3845 (=> @t4569 (=> @t299 @t4576)))) % 6.51/6.70 (assume @p3377 (forall @t3843 (=> @t4569 (=> @t3842 @t323)))) % 6.51/6.70 (assume @p3378 (forall @t3843 (=> @t4569 (=> @t3842 @t327)))) % 6.51/6.70 (assume @p3379 (forall @t4577 (=> @t4506 (=> @t4568 @t4569)))) % 6.51/6.70 (assume @p3380 (forall @t999 (=> @t390 (=> @t260 (=> @t765 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t741 @t3952)) (= @t4 @t261))) @t1759)))))) % 6.51/6.70 (assume @p3381 (forall (@list @t51 @t2 @t210 @t74 @t8 @t2383) (=> (not (= @t2383 @t56)) (=> (forall @t1336 (=> (tptp.hBOOL (tptp.hAPP @t3807 @t2383)) (tptp.c_Fun_Oinj__on @t74 @t210 @t2 (tptp.hAPP @t51 @t1332)))) (tptp.c_Fun_Oinj__on @t74 @t210 @t2 @t4279))))) % 6.51/6.70 (assume @p3382 (forall @t150 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t55 @t1580))) % 6.51/6.70 (assume @p3383 (forall (@list @t240 @t51 @t73 @t261 @t2 @t74 @t8) (=> @t1660 (=> (tptp.hBOOL (tptp.hAPP @t442 @t240)) (=> @t353 (not (forall @t45 (=> (= @t240 (tptp.hAPP @t115 @t43)) (not (tptp.hBOOL (tptp.hAPP @t439 @t43))))))))))) % 6.51/6.70 (assume @p3384 (forall @t4593 (=> (not @t4592) (= @t4590 @t4585)))) % 6.51/6.70 (assume @p3385 (forall @t4598 (=> @t4597 @t4596))) % 6.51/6.70 (assume @p3386 (forall @t4605 (=> (or @t4604 @t4603) (tptp.hBOOL (tptp.hAPP @t182 @t4601))))) % 6.51/6.70 (assume @p3387 (forall @t2247 (tptp.hBOOL (tptp.hAPP @t2335 (tptp.hAPP @t4584 (tptp.hAPP @t4579 @t205)))))) % 6.51/6.70 (assume @p3388 (forall @t2247 (tptp.hBOOL (tptp.hAPP @t2335 (tptp.hAPP @t4584 (tptp.hAPP (tptp.hAPP @t4578 @t753) @t205)))))) % 6.51/6.70 (assume @p3389 (forall @t4610 (= (tptp.hAPP @t4609 (tptp.hAPP @t3130 (tptp.hAPP (tptp.hAPP @t2452 @t4608) @t116))) (tptp.hAPP @t4607 (tptp.hAPP @t2378 (tptp.hAPP @t4606 @t116)))))) % 6.51/6.70 (assume @p3390 (forall @t4610 (= (tptp.hAPP @t4609 (tptp.hAPP @t3130 (tptp.hAPP (tptp.hAPP @t4489 @t4608) @t116))) (tptp.hAPP @t4607 (tptp.hAPP @t4611 @t116))))) % 6.51/6.70 (assume @p3391 (forall @t4617 (= @t4616 @t4612))) % 6.51/6.70 (assume @p3392 (forall @t150 (=> @t484 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t1988)))) % 6.51/6.70 (assume @p3393 (forall @t150 (=> @t484 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t2069)))) % 6.51/6.70 (assume @p3394 (forall (@list @t117 @t2 @t74 @t8) (= (tptp.hAPP @t4434 @t4619) (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP @t4618 @t117) @t2))))) % 6.51/6.70 (assume @p3395 (forall @t150 (=> @t1686 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t1677)))) % 6.51/6.70 (assume @p3396 (forall @t150 (=> @t3874 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t3869)))) % 6.51/6.70 (assume @p3397 (forall @t150 (=> @t851 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t754)))) % 6.51/6.70 (assume @p3398 (forall @t4620 (=> @t4596 @t4597))) % 6.51/6.70 (assume @p3399 (forall @t4620 (= @t4596 @t4597))) % 6.51/6.70 (assume @p3400 (forall @t243 (= (tptp.hAPP @t4594 @t3580) @t51))) % 6.51/6.70 (assume @p3401 (forall @t150 (= @t4202 (tptp.hAPP @t4594 (tptp.hAPP @t4621 tptp.c_fTrue))))) % 6.51/6.70 (assume @p3402 (forall @t4605 (= (tptp.hBOOL (tptp.hAPP @t182 @t4623)) (and @t4604 @t4603)))) % 6.51/6.70 (assume @p3403 (forall @t4620 (= (tptp.hAPP @t53 @t4595) (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP @t4428 (tptp.hAPP @t4624 (tptp.hAPP @t4614 @t2906))) @t117))))) % 6.51/6.70 (assume @p3404 (forall @t150 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t55 @t52))) % 6.51/6.70 (assume @p3405 (forall @t4605 (= @t4601 (tptp.hAPP (tptp.hAPP @t3864 @t4595) @t4602)))) % 6.51/6.70 (assume @p3406 (forall @t1699 (=> @t4625 (tptp.c_Finite__Set_Ofun__left__comm__idem @t210 @t74 @t1698)))) % 6.51/6.70 (assume @p3407 (forall (@list @t261 @t73 @t2 @t74 @t8) (=> @t4625 (= (tptp.hAPP @t115 @t1675) @t1675)))) % 6.51/6.70 (assume @p3408 (forall @t4617 (= @t4595 @t117))) % 6.51/6.70 (assume @p3409 (forall @t4617 (= (= @t4595 @t56) @t4627))) % 6.51/6.70 (assume @p3410 (forall @t4617 (= (= @t56 @t4595) @t4627))) % 6.51/6.70 (assume @p3411 (forall @t150 (= @t56 (tptp.hAPP @t4594 @t4628)))) % 6.51/6.70 (assume @p3412 (forall @t4605 (= @t4623 (tptp.hAPP (tptp.hAPP @t1662 @t4595) @t4602)))) % 6.51/6.70 (assume @p3413 (forall @t368 (= @t367 (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP @t4428 (tptp.hAPP @t4622 @t2906)) @t3985))))) % 6.51/6.70 (assume @p3414 (forall @t316 (= @t1664 (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP @t4428 (tptp.hAPP @t4622 @t3580)) @t3985))))) % 6.51/6.70 (assume @p3415 (forall @t316 (= @t3866 @t4629))) % 6.51/6.70 (assume @p3416 (forall (@list @t117 @t51 @t73 @t8) (= (tptp.hBOOL (tptp.hAPP @t283 @t4630)) (and @t323 @t133)))) % 6.51/6.70 (assume @p3417 (forall @t14 (= (tptp.hAPP @t4594 @t3023) @t70))) % 6.51/6.70 (assume @p3418 (forall @t14 (= @t4631 @t70))) % 6.51/6.70 (assume @p3419 (forall @t4598 (and (=> @t4597 (= @t4632 @t70)) (=> @t4633 (= @t4632 @t56))))) % 6.51/6.70 (assume @p3420 (forall @t4598 (and (=> @t4597 (= @t4634 @t70)) (=> @t4633 (= @t4634 @t56))))) % 6.51/6.70 (assume @p3421 (forall @t316 (= @t311 (tptp.hAPP @t4594 (tptp.hAPP @t4429 (tptp.hAPP @t4614 @t3985)))))) % 6.51/6.70 (assume @p3422 (forall @t4617 (=> @t4604 (= (tptp.hBOOL (tptp.hAPP @t182 @t4616)) @t4216)))) % 6.51/6.70 (assume @p3423 (forall @t368 (= @t367 (tptp.hAPP (tptp.hAPP @t1662 @t4631) @t289)))) % 6.51/6.70 (assume @p3424 (forall @t243 (= @t781 (tptp.hAPP @t4594 (tptp.hAPP @t4614 @t3580))))) % 6.51/6.70 (assume @p3425 (forall @t4455 (= @t4441 (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t273 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 (tptp.tc_fun @t273 tptp.tc_HOL_Obool) @t8) @t350) @t2)) @t289))))) % 6.51/6.70 (assume @p3426 (forall @t4605 (= (tptp.hAPP @t4594 (tptp.hAPP @t4635 @t116)) (tptp.hAPP (tptp.hAPP @t1662 @t4612) @t4602)))) % 6.51/6.70 (assume @p3427 (forall @t1572 (= @t380 (tptp.hAPP @t4594 (tptp.hAPP @t4614 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t418 tptp.tc_HOL_Obool) (tptp.hAPP @t4637 @t378)) @t159)))))) % 6.51/6.70 (assume @p3428 (forall @t2282 (tptp.hBOOL (tptp.hAPP @t2335 (tptp.hAPP @t4584 (tptp.hAPP (tptp.hAPP @t4583 (tptp.hAPP @t4582 @t117)) @t4586)))))) % 6.51/6.70 (assume @p3429 (forall (@list @t201 @t2 @t3487 @t74 @t1791 @t8 @t210) (=> @t4544 (=> @t2151 (=> @t4645 (= (tptp.hAPP (tptp.hAPP @t4543 (tptp.hAPP @t4542 @t4644)) @t1791) (tptp.hAPP (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t74 @t55 @t210) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t8 @t210) (tptp.tc_fun @t55 @t210) @t74) @t4543) (tptp.hAPP (tptp.c_COMBC @t8 @t74 @t210) @t2))) (tptp.hAPP @t4640 (tptp.hAPP (tptp.hAPP @t3935 @t4639) @t4638)))) @t3487))))))) % 6.51/6.70 (assume @p3430 (forall (@list @t1791 @t1 @t2 @t117 @t8 @t74) (= (tptp.hAPP (tptp.c_Set_Oimage @t74 @t8 (tptp.hAPP (tptp.hAPP @t2970 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t74 @t8 @t1969) (tptp.hAPP @t4457 @t117)) @t2)) @t1)) @t1791) (tptp.hAPP (tptp.hAPP @t1662 (tptp.hAPP @t1093 (tptp.hAPP @t4647 @t4619))) (tptp.hAPP @t4068 (tptp.hAPP @t4647 (tptp.hAPP @t4606 (tptp.hAPP @t4646 @t117)))))))) % 6.51/6.70 (assume @p3431 (forall @t4418 (= (tptp.hAPP @t4594 (tptp.hAPP @t4650 @t117)) (tptp.hAPP (tptp.hAPP @t4266 @t4212) @t4648)))) % 6.51/6.70 (assume @p3432 (forall (@list @t1 @t2 @t117 @t74 @t8) (= (tptp.c_Map_Odom @t8 @t74 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t418 @t418) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t418 @t4652) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t418 @t4652) @t8) (tptp.c_If @t418)) @t117)) @t2)) @t1)) (tptp.hAPP (tptp.hAPP @t1662 (tptp.hAPP (tptp.hAPP @t3864 @t1587) @t4595)) (tptp.hAPP (tptp.hAPP @t3864 @t4651) @t4616))))) % 6.51/6.70 (assume @p3433 (forall (@list @t281 @t2 @t8 @t51) (=> (= @t51 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t8 @t2) (tptp.hAPP @t4584 (tptp.hAPP @t4579 @t281)))) @t184))) % 6.51/6.70 (assume @p3434 (forall @t3988 (=> @t3744 (=> @t184 (= (tptp.hAPP @t3745 @t4629) @t3986))))) % 6.51/6.70 (assume @p3435 (forall (@list @t2 @t210 @t1 @t1791 @t8 @t74) (=> @t3744 (=> @t2151 (= (tptp.hAPP @t3741 @t1791) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t210 @t74) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t74 @t210) @t3741) (tptp.hAPP (tptp.hAPP @t3926 @t4594) (tptp.hAPP (tptp.hAPP @t3926 @t4639) (tptp.hAPP (tptp.c_COMBC @t8 @t210 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t210 @t2190 @t8) tptp.c_fequal) @t2)))))) (tptp.hAPP @t4653 @t1791))))))) % 6.51/6.70 (assume @p3436 (forall (@list @t13 @t2917 @t8 @t74) (= @t3696 (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3675 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3674 @t4654 @t8) @t3686) @t3694)) @t2917))))) % 6.51/6.70 (assume @p3437 (forall (@list @t1 @t2 @t117 @t51 @t8 @t74) (=> @t3744 (=> @t184 (= (tptp.hAPP (tptp.hAPP @t3740 (tptp.hAPP (tptp.hAPP @t2999 (tptp.hAPP (tptp.hAPP @t2908 (tptp.hAPP @t2907 @t117)) @t2)) @t1)) @t51) (tptp.hAPP (tptp.hAPP @t1433 (tptp.hAPP @t3745 @t4630)) (tptp.hAPP @t3741 (tptp.hAPP @t3865 @t4612)))))))) % 6.51/6.70 (assume @p3438 (forall @t1769 (=> @t4625 (=> @t184 @t1767)))) % 6.51/6.70 (assume @p3439 (forall @t1769 (=> @t4625 (=> @t184 @t1766)))) % 6.51/6.70 (assume @p3440 (forall @t4593 (=> @t4592 (= (tptp.hAPP tptp.c_Nat_OSuc @t4590) @t4585)))) % 6.51/6.70 (assume @p3441 (forall @t4593 (=> @t4592 (not (= @t4585 @t1074))))) % 6.51/6.70 (assume @p3442 (forall @t2971 (= (tptp.c_Map_Odom @t8 @t74 (tptp.c_Fun_Ooverride__on @t8 @t418 @t2 @t1 @t51)) (tptp.hAPP (tptp.hAPP @t1662 (tptp.hAPP (tptp.hAPP @t309 @t1587) (tptp.hAPP @t4594 (tptp.hAPP @t1792 (tptp.hAPP @t310 @t4651))))) (tptp.hAPP @t4594 (tptp.hAPP @t1792 (tptp.hAPP @t3865 @t4651))))))) % 6.51/6.70 (assume @p3443 (forall (@list @t205 @t201 @t3487 @t74 @t1791 @t8) (=> @t2151 (=> @t4645 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t741 @t3487)) (= (tptp.hAPP @t402 (tptp.hAPP @t4594 (tptp.hAPP @t4639 @t4655))) @t205))) (= (tptp.hAPP (tptp.hAPP @t3725 (tptp.hAPP @t4545 @t4644)) @t1791) (tptp.hAPP @t1154 (tptp.hAPP @t758 @t3487)))))))) % 6.51/6.70 (assume @p3444 (forall @t316 (=> @t484 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (= (tptp.hAPP (tptp.hAPP @t2069 @t2056) @t2104) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 (tptp.hAPP @t4594 (tptp.hAPP @t4670 (tptp.hAPP @t4671 (tptp.hAPP (tptp.hAPP @t4668 (tptp.hAPP @t4667 (tptp.hAPP @t4666 (tptp.hAPP @t4663 (tptp.hAPP @t4661 @t2069))))) @t4658))))))))))))) % 6.51/6.70 (assume @p3445 (forall @t243 (=> @t184 (tptp.hBOOL (tptp.hAPP @t3526 @t4673))))) % 6.51/6.70 (assume @p3446 (forall @t243 (= (tptp.hAPP @t3500 @t781) (tptp.hAPP @t4672 (tptp.hAPP (tptp.hAPP @t4674 (tptp.c_HOL_OEx @t55)) (tptp.hAPP (tptp.hAPP @t4680 (tptp.hAPP @t4679 (tptp.hAPP @t4677 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t55 @t1579 @t3513) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3513 (tptp.tc_fun @t1579 @t3513) @t55) (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t55)) tptp.c_fequal)) @t749)))) (tptp.hAPP (tptp.hAPP @t4674 @t3511) @t3500))))))) % 6.51/6.70 (assume @p3447 (forall @t243 (= @t3501 @t4673))) % 6.51/6.70 (assume @p3448 (forall @t3475 (=> @t4604 (tptp.hBOOL (tptp.hAPP @t259 (tptp.hAPP @t4606 (tptp.hAPP @t4683 (tptp.hAPP (tptp.hAPP @t2295 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3828 @t1579 @t74) @t4428) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t3828 @t74) @t3827) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t819 @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t273 @t4681 @t74) @t4618) tptp.c_fequal)) @t2)))) @t117)))))))) % 6.51/6.70 (assume @p3449 (forall (@list @t116 @t74 @t117 @t8) (=> @t4604 (= (tptp.hBOOL (tptp.hAPP @t259 (tptp.hAPP @t4606 (tptp.hAPP @t4683 (tptp.hAPP (tptp.hAPP @t3935 @t4600) @t116))))) (forall @t45 (=> @t4685 (tptp.hBOOL (tptp.hAPP @t259 (tptp.hAPP @t4606 (tptp.hAPP (tptp.hAPP @t4684 @t116) @t43)))))))))) % 6.51/6.70 (assume @p3450 (forall @t4688 @t4687)) % 6.51/6.70 (assume @p3451 (forall @t4688 @t4689)) % 6.51/6.70 (assume @p3452 (forall @t4052 (= (tptp.c_Fun_Ooverride__on @t8 @t74 @t2 @t1 @t56) @t2))) % 6.51/6.70 (assume @p3453 (forall @t1586 (tptp.c_Fun_Oinj__on @t819 @t2931 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2931 @t2931 @t819) @t4609) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2944 @t2931 @t819) @t3130) (tptp.hAPP @t4423 (tptp.hAPP (tptp.c_COMBC @t74 @t74 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t4218))) % 6.51/6.70 (assume @p3454 (forall @t1920 (tptp.c_Nat__Transfer_Onat__set @t4691))) % 6.51/6.70 (assume @p3455 (forall @t4688 (and @t4689 @t4687))) % 6.51/6.70 (assume @p3456 (forall @t150 (= @t3290 (tptp.hAPP (tptp.c_Set_OCollect @t3292) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t55 @t55 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t4680 (tptp.hAPP @t4679 (tptp.hAPP @t4677 @t627))) @t182)))))) % 6.51/6.70 (assume @p3457 (forall (@list @t378 @t8 @t74) (= @t453 (tptp.hAPP @t4594 (tptp.hAPP @t4694 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t407 @t273 @t8) (tptp.hAPP @t4693 (tptp.hAPP @t4692 @t378))) @t87)))))) % 6.51/6.70 (assume @p3458 (forall (@list @t2 @t2917 @t8 @t74) (= @t3497 (tptp.hAPP @t4699 (tptp.hAPP @t3830 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3478 @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4698 (tptp.tc_fun @t3478 @t55) @t8) (tptp.c_COMBC @t8 @t3478 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4696 @t4698 @t8) (tptp.hAPP (tptp.c_COMBB @t3285 @t4697 @t8) @t3286)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t819 @t4696) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4695 (tptp.tc_fun @t819 @t4696) @t8) (tptp.c_COMBB @t74 @t3285 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 @t4695 @t8) @t3284) @t2))) @t2)))) @t2917)))))) % 6.51/6.70 (assume @p3459 (forall @t1920 (= @t4691 (tptp.hAPP @t2262 (tptp.hAPP @t4584 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t117) @t2195)))))) % 6.51/6.70 (assume @p3460 (forall @t1920 (= (tptp.hAPP @t4584 @t117) (tptp.hAPP @t1899 (tptp.hAPP @t4690 (tptp.hAPP @t3227 (tptp.hAPP (tptp.hAPP @t1961 @t117) tptp.c_Int_Onat))))))) % 6.51/6.70 (assume @p3461 (forall @t4704 (=> @t4703 (=> @t1328 (=> @t1327 (= (tptp.hAPP @t4700 @t2139) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t4702))))))) % 6.51/6.70 (assume @p3462 (forall @t4704 (=> @t4703 (=> @t1328 (=> @t1327 (= (tptp.hAPP @t4700 @t2109) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t4702))))))) % 6.51/6.70 (assume @p3463 (forall @t406 (=> @t3899 (=> @t184 (=> @t249 (= (tptp.hAPP @t1716 @t4025) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 (tptp.hAPP @t4594 (tptp.hAPP @t4670 (tptp.hAPP (tptp.hAPP @t1576 (tptp.hAPP @t4664 (tptp.hAPP @t3829 (tptp.hAPP @t4701 @t1716)))) @t3580)))))))))) % 6.51/6.70 (assume @p3464 (forall @t316 (=> @t3899 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (= (tptp.hAPP (tptp.hAPP @t1677 @t4025) @t4029) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 (tptp.hAPP @t4594 (tptp.hAPP @t4670 (tptp.hAPP @t4671 (tptp.hAPP (tptp.hAPP @t4668 (tptp.hAPP @t4667 (tptp.hAPP @t4666 (tptp.hAPP @t4663 (tptp.hAPP @t4661 @t1677))))) @t4658))))))))))))) % 6.51/6.70 (assume @p3465 (forall @t406 (=> @t3899 (=> @t184 (=> @t249 (= (tptp.hAPP @t3876 @t1817) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 (tptp.hAPP @t4594 (tptp.hAPP @t4670 (tptp.hAPP (tptp.hAPP @t1576 (tptp.hAPP @t4664 (tptp.hAPP @t3829 (tptp.hAPP @t4701 @t3876)))) @t3580)))))))))) % 6.51/6.70 (assume @p3466 (forall @t316 (=> @t3899 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (= (tptp.hAPP (tptp.hAPP @t3869 @t1817) @t1854) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 (tptp.hAPP @t4594 (tptp.hAPP @t4670 (tptp.hAPP @t4671 (tptp.hAPP (tptp.hAPP @t4668 (tptp.hAPP @t4667 (tptp.hAPP @t4666 (tptp.hAPP @t4663 (tptp.hAPP @t4661 @t3869))))) @t4658))))))))))))) % 6.51/6.70 (assume @p3467 (forall @t406 (=> @t484 (=> @t184 (=> @t249 (= (tptp.hAPP @t2000 @t2126) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 (tptp.hAPP @t4594 (tptp.hAPP @t4670 (tptp.hAPP (tptp.hAPP @t1576 (tptp.hAPP @t4664 (tptp.hAPP @t3829 (tptp.hAPP @t4701 @t2000)))) @t3580)))))))))) % 6.51/6.70 (assume @p3468 (forall @t316 (=> @t484 (=> @t184 (=> @t249 (=> @t361 (=> @t1006 (= (tptp.hAPP (tptp.hAPP @t1988 @t2126) @t2135) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 (tptp.hAPP @t4594 (tptp.hAPP @t4670 (tptp.hAPP @t4671 (tptp.hAPP (tptp.hAPP @t4668 (tptp.hAPP @t4667 (tptp.hAPP @t4666 (tptp.hAPP @t4663 (tptp.hAPP @t4661 @t1988))))) @t4658))))))))))))) % 6.51/6.70 (assume @p3469 (forall @t406 (=> @t484 (=> @t184 (=> @t249 (= (tptp.hAPP @t2081 @t2056) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 (tptp.hAPP @t4594 (tptp.hAPP @t4670 (tptp.hAPP (tptp.hAPP @t1576 (tptp.hAPP @t4664 (tptp.hAPP @t3829 (tptp.hAPP @t4701 @t2081)))) @t3580)))))))))) % 6.51/6.70 (assume @p3470 (forall @t965 (= (tptp.c_Nitpick_Oprod @t8 @t74 @t51 @t289) (tptp.hAPP @t4609 (tptp.hAPP @t3130 @t4705))))) % 6.51/6.70 (assume @p3471 (forall @t4709 (= @t4708 (tptp.hAPP @t4707 (tptp.hAPP @t3230 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t1897 @t1897) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1632 @t3229 tptp.tc_Int_Oint) @t1950) @t4706)) @t1385)))))) % 6.51/6.70 (assume @p3472 (forall @t4709 (= @t4710 (tptp.hAPP @t4707 (tptp.hAPP @t3230 (tptp.hAPP (tptp.hAPP @t3268 (tptp.hAPP @t1953 @t4706)) @t1385)))))) % 6.51/6.70 (assume @p3473 (forall @t3091 (= @t4712 (tptp.c_Relation_Orefl__on @t8 @t4202 @t4711)))) % 6.51/6.70 (assume @p3474 (forall (@list @t289 @t51 @t1 @t2 @t74 @t8 @t210) (=> (tptp.class_Rings_Osemiring__0 @t210) (=> (tptp.c_Fun_Oinj__on @t2930 @t210 (tptp.hAPP @t3104 @t4714) @t4491) (= (tptp.hAPP (tptp.hAPP @t4530 (tptp.hAPP (tptp.hAPP @t4543 @t2) @t51)) (tptp.hAPP (tptp.hAPP @t4541 @t1) @t289)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t210 @t210) (tptp.c_Fun_Oid @t210)) (tptp.hAPP (tptp.c_Set_OCollect @t210) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t210) @t4669) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2944 @t55 @t210) @t4694) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t210 @t2944 @t2944) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4719 (tptp.tc_fun @t2944 @t2944) @t210) @t4489) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4718 @t4719 @t210) (tptp.hAPP (tptp.c_COMBB @t4717 @t2449 @t8) @t4643)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2944 @t4718 @t210) (tptp.hAPP (tptp.c_COMBB @t273 @t4717 @t8) @t4642)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t210 @t4716 @t2944) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4715 (tptp.tc_fun @t4716 @t2944) @t210) (tptp.c_COMBB @t3166 @t273 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2190 @t4715 @t210) (tptp.c_COMBB @t210 tptp.tc_HOL_Obool @t74)) tptp.c_fequal))) @t4714))))) @t4705)))))))))) % 6.51/6.70 (assume @p3475 (forall (@list @t205 @t201 @t33 @t74 @t428 @t8) (=> @t3824 (=> (tptp.hBOOL (tptp.hAPP @t259 @t33)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t741 @t33)) (= (tptp.hAPP @t402 (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP @t4428 (tptp.hAPP @t3827 (tptp.hAPP @t1792 @t428))) @t4655))) (tptp.hAPP @t205 @t3)))) (= (tptp.hAPP (tptp.hAPP @t3725 (tptp.hAPP @t4545 (tptp.hAPP @t4611 (tptp.hAPP (tptp.hAPP @t2430 (tptp.hAPP @t4643 (tptp.hAPP @t4642 (tptp.hAPP @t4227 @t33)))) @t201)))) @t428) (tptp.hAPP (tptp.hAPP @t3728 @t205) @t33))))))) % 6.51/6.70 (assume @p3476 (forall @t243 (tptp.c_Fun_Oinj__on @t8 @t8 @t4720 @t51))) % 6.51/6.70 (assume @p3477 (forall (@list @t4721 @t8) (= (tptp.hAPP @t4720 @t4721) @t4721))) % 6.51/6.70 (assume @p3478 (forall @t4331 (=> @t4712 (tptp.hBOOL (tptp.hAPP @t4722 @t73))))) % 6.51/6.70 (assume @p3479 (forall @t97 (= (tptp.hAPP @t4720 @t95) @t95))) % 6.51/6.70 (assume @p3480 (forall @t1586 (= (tptp.c_Product__Type_Oapfst @t8 @t8 @t74 @t4720) @t4723))) % 6.51/6.70 (assume @p3481 (forall @t1589 (= (tptp.c_Product__Type_Oapsnd @t74 @t74 @t8 @t4724) @t4723))) % 6.51/6.70 (assume @p3482 (forall @t150 (= (tptp.hAPP @t4726 @t4720) @t4725))) % 6.51/6.70 (assume @p3483 (forall @t243 (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t8 @t4720) @t51) @t51))) % 6.51/6.70 (assume @p3484 (forall @t150 (= (tptp.hAPP @t4726 @t1505) @t4725))) % 6.51/6.70 (assume @p3485 (= @t2972 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 6.51/6.70 (assume @p3486 (forall @t1586 (= @t4563 @t4723))) % 6.51/6.70 (assume @p3487 (forall @t1586 (= (tptp.c_Product__Type_Omap__pair @t8 @t8 @t74 @t74 @t4720 @t4724) @t4723))) % 6.51/6.70 (assume @p3488 (forall @t1506 (= (tptp.hAPP @t4727 @t1460) @t1460))) % 6.51/6.70 (assume @p3489 (forall @t150 (= (tptp.hAPP @t4727 @t4202) @t4202))) % 6.51/6.70 (assume @p3490 (forall (@list @t2 @t74 @t210 @t8) (= (tptp.c_Product__Type_Oapfst @t8 @t210 @t74 @t2) (tptp.c_Product__Type_Omap__pair @t8 @t210 @t74 @t74 @t2 @t4724)))) % 6.51/6.70 (assume @p3491 (forall (@list @t2 @t8 @t210 @t74) (= (tptp.c_Product__Type_Oapsnd @t74 @t210 @t8 @t2) (tptp.c_Product__Type_Omap__pair @t8 @t8 @t74 @t210 @t4720 @t2)))) % 6.51/6.70 (assume @p3492 (forall @t1586 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t74 @t2930) @t2933) @t4723))) % 6.51/6.70 (assume @p3493 (forall @t4728 (=> @t3744 (=> @t4043 (= @t3778 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t74 @t74) @t4724) @t1112)))))) % 6.51/6.70 (assume @p3494 (forall @t4728 (=> @t2916 (=> @t4043 (= @t4016 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t74 @t74) @t4724) @t1112)))))) % 6.51/6.70 (assume @p3495 (forall @t243 (= @t184 (exists (@list @t427 @t3232) (= @t51 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t8 @t3232) (tptp.hAPP @t4584 (tptp.hAPP @t4579 @t427)))))))) % 6.51/6.70 (assume @p3496 (forall (@list @t428 @t2917 @t74 @t210 @t8) (= @t4739 (tptp.hAPP @t4609 (tptp.hAPP @t3130 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2191 @t273 @t8) (tptp.hAPP (tptp.c_COMBB @t2190 tptp.tc_HOL_Obool @t74) (tptp.c_HOL_OEx @t210))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t2191 @t2191) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4461 (tptp.tc_fun @t2191 @t2191) @t8) (tptp.c_COMBB @t2190 @t2190 @t74)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4737 @t4461 @t8) (tptp.c_COMBS @t210 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2190 @t4737 @t8) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1632 @t210) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4550 @t2190) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4736 (tptp.tc_fun @t4550 @t2190) @t8) (tptp.c_COMBC @t210 @t4550 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t210 @t4549) @t4736 @t8) (tptp.hAPP (tptp.c_COMBB @t4549 @t4735 @t210) @t4734)) @t4139))) @t2917))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t4731 @t2190) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4733 (tptp.tc_fun @t4731 @t2190) @t74) (tptp.c_COMBC @t210 @t4731 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t210 @t4729) @t4733 @t74) (tptp.hAPP (tptp.c_COMBB @t4729 @t4732 @t210) @t4730)) (tptp.hAPP (tptp.c_COMBC @t210 @t74 @t4729) @t4189)))) @t428)))))))) % 6.51/6.70 (assume @p3497 (forall @t4742 (= (tptp.hAPP @t4741 (tptp.hAPP (tptp.c_Set_OCollect @t3674) @t4740)) (tptp.hAPP @t4594 (tptp.hAPP @t4694 (tptp.hAPP @t4684 @t117)))))) % 6.51/6.70 (assume @p3498 (forall (@list @t428 @t18 @t210 @t2917 @t58 @t13 @t74 @t8) (=> @t3684 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4244 (tptp.hAPP (tptp.hAPP @t3134 @t58) @t18)) @t428)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4734 (tptp.hAPP (tptp.hAPP @t4139 @t13) @t18)) @t4744)))))) % 6.51/6.70 (assume @p3499 (forall @t4746 (=> @t3684 (tptp.hBOOL (tptp.hAPP @t1102 @t4745))))) % 6.51/6.70 (assume @p3500 (forall (@list @t2917 @t2383 @t3169 @t428 @t74 @t210 @t8) (= (tptp.hAPP @t4747 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3169 @t4731) @t2383) @t2917)) (tptp.hAPP @t4748 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4731 @t2931 @t3169) @t4747) @t2917))))) % 6.51/6.70 (assume @p3501 (forall (@list @t428 @t2917 @t2383 @t3169 @t74 @t210 @t8) (= (tptp.hAPP (tptp.hAPP @t4738 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3169 @t4550) @t2383) @t2917)) @t428) (tptp.hAPP @t4748 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3169 @t4731 @t2931) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4550 (tptp.tc_fun @t4731 @t2931) @t3169) @t4738) @t2917)) @t428))))) % 6.51/6.70 (assume @p3502 (forall @t243 (= (tptp.hAPP @t4749 @t3814) @t51))) % 6.51/6.70 (assume @p3503 (forall (@list @t3487 @t1791 @t201 @t3169 @t74 @t210 @t8) (= (tptp.hAPP (tptp.hAPP @t4738 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t3169 @t210) @t201) @t1791)) @t3487) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t3169 @t74) @t201) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t3169 @t210 @t74) @t1791) @t3487))))) % 6.51/6.70 (assume @p3504 (forall (@list @t428 @t4750 @t210 @t2917 @t3672 @t74 @t8) (=> @t3673 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4752 @t4750) @t428)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4751 (tptp.hAPP (tptp.hAPP @t4743 @t3672) @t4750)) @t4744)))))) % 6.51/6.70 (assume @p3505 (forall (@list @t201 @t3487 @t1791 @t74 @t210 @t8) (= (tptp.hAPP (tptp.hAPP @t4738 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4550) @t1791) @t3487)) @t201) (tptp.hAPP (tptp.hAPP @t2932 (tptp.hAPP (tptp.hAPP @t4738 @t1791) @t201)) (tptp.hAPP (tptp.hAPP @t4738 @t3487) @t201))))) % 6.51/6.70 (assume @p3506 (forall (@list @t3487 @t1791 @t201 @t74 @t210 @t8) (= (tptp.hAPP @t4753 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4731) @t1791) @t3487)) (tptp.hAPP (tptp.hAPP @t2932 (tptp.hAPP @t4753 @t1791)) (tptp.hAPP @t4753 @t3487))))) % 6.51/6.70 (assume @p3507 (forall @t4754 (= (tptp.hAPP (tptp.hAPP @t4738 (tptp.c_Orderings_Obot__class_Obot @t4550)) @t201) @t2950))) % 6.51/6.70 (assume @p3508 (forall @t4754 (= (tptp.hAPP @t4753 (tptp.c_Orderings_Obot__class_Obot @t4731)) @t2950))) % 6.51/6.70 (assume @p3509 (forall @t724 (=> (= (tptp.hAPP @t4756 @t289) @t3070) (=> @t4757 (= (tptp.hAPP @t4756 (tptp.hAPP (tptp.hAPP @t3600 @t289) @t721)) @t3070))))) % 6.51/6.70 (assume @p3510 (forall @t1732 (=> @t4757 (=> (= (tptp.hAPP (tptp.hAPP @t4755 @t289) @t721) @t3070) (= (tptp.hAPP (tptp.hAPP @t4755 (tptp.hAPP (tptp.hAPP @t3600 @t51) @t289)) @t721) @t3070))))) % 6.51/6.70 (assume @p3511 (forall (@list @t1791 @t8 @t74) (= (tptp.hAPP @t4741 (tptp.c_Complete__Lattice_OSup__class_OSup @t3675 @t1791)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3675 @t55) @t1791) @t4741)))) % 6.51/6.70 (assume @p3512 (forall @t1589 (= (tptp.hAPP @t4741 @t4758) @t56))) % 6.51/6.70 (assume @p3513 (forall @t4760 (= (= @t4759 @t56) (= @t2917 @t4758)))) % 6.51/6.70 (assume @p3514 (forall (@list @t721 @t428 @t210 @t289 @t51 @t2917 @t74 @t8) (=> @t4511 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4752 @t428) (tptp.hAPP (tptp.hAPP @t4494 @t289) (tptp.hAPP @t4493 @t721)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4751 @t4744) (tptp.hAPP @t4557 (tptp.hAPP @t4555 @t721)))))))) % 6.51/6.70 (assume @p3515 (forall @t2381 (= (tptp.hAPP @t4741 (tptp.hAPP (tptp.hAPP @t3676 @t51) @t289)) (tptp.hAPP (tptp.hAPP @t1662 @t4762) @t4761)))) % 6.51/6.70 (assume @p3516 (forall @t4764 (=> @t4763 (tptp.hBOOL (tptp.hAPP @t259 @t4745))))) % 6.51/6.70 (assume @p3517 (forall @t3661 (= (tptp.hAPP (tptp.c_Set_Oimage @t3674 @t8 @t3252) @t201) (tptp.hAPP @t4741 @t201)))) % 6.51/6.70 (assume @p3518 (forall @t4765 (= (tptp.hBOOL (tptp.hAPP @t298 @t4759)) (exists @t45 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3686 (tptp.hAPP (tptp.hAPP @t3251 @t43) @t13)) @t2917)))))) % 6.51/6.70 (assume @p3519 (forall (@list @t2917 @t58 @t13 @t8 @t74) (= (tptp.hAPP @t4741 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3674) @t3695) @t2917)) (tptp.hAPP @t65 @t4759)))) % 6.51/6.70 (assume @p3520 (forall @t965 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP @t4741 (tptp.hAPP (tptp.hAPP @t4766 @t51) @t289))) (tptp.hAPP (tptp.hAPP @t3864 @t4762) @t4761))))) % 6.51/6.70 (assume @p3521 (forall @t965 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP (tptp.hAPP @t309 @t4762) @t4761)) (tptp.hAPP @t4741 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3675) @t51) @t289)))))) % 6.51/6.70 (assume @p3522 (forall @t1796 (=> @t4773 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4771 (tptp.hAPP (tptp.hAPP @t4770 @t3460) (tptp.hAPP (tptp.hAPP @t4769 (tptp.c_Wellfounded_Omax__ext @t8 @t1791)) @t4768))) @t3460))))) % 6.51/6.70 (assume @p3523 (forall @t1796 (=> @t4773 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4771 (tptp.hAPP (tptp.hAPP @t4770 @t4774) (tptp.hAPP (tptp.hAPP @t4769 (tptp.c_Wellfounded_Omin__ext @t8 @t1791)) @t4768))) @t4774))))) % 6.51/6.70 (assume @p3524 (forall @t4229 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t8 @t74 @t4775) @t73)) (tptp.hBOOL (tptp.hAPP @t351 @t4745))))) % 6.51/6.70 (assume @p3525 (forall (@list @t2917 @t74 @t58 @t8) (=> (tptp.hBOOL (tptp.hAPP @t329 @t4759)) (not (forall @t7 (not @t3687)))))) % 6.51/6.70 (assume @p3526 (forall (@list @t100 @t73 @t428 @t2917 @t210 @t74 @t8) (= (tptp.c_Predicate_Opred__comp @t8 @t74 @t210 @t4775 (tptp.hAPP @t4249 @t428) @t73 @t100) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4734 @t4140) @t4744))))) % 6.51/6.70 (assume @p3527 (forall (@list @t210 @t74 @t8 @t18 @t428 @t58 @t13 @t2917) (=> @t3142 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t428 @t58) @t18)) (tptp.c_Predicate_Opred__comp @t8 @t74 @t210 @t2917 @t428 @t13 @t18))))) % 6.51/6.70 (assume @p3528 (forall @t4777 (=> @t3142 (tptp.hBOOL (tptp.hAPP @t4776 @t58))))) % 6.51/6.70 (assume @p3529 (forall (@list @t178 @t176 @t428 @t2917 @t210 @t74 @t8) (= (tptp.c_Predicate_Opred__comp @t8 @t74 @t210 @t2917 @t428 @t176 @t178) (exists @t3803 (and (tptp.hBOOL (tptp.hAPP @t4778 @t1302)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t428 @t1302) @t178))))))) % 6.51/6.70 (assume @p3530 (forall (@list @t179 @t2917 @t74 @t8) (= (tptp.hBOOL (tptp.hAPP @t4776 @t179)) (exists @t271 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2917 @t268) @t179)))))) % 6.51/6.70 (assume @p3531 (forall @t1796 (=> @t4779 (=> @t4773 (tptp.c_FunDef_Oreduction__pair @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t3068 @t3068) @t201) @t1791)))))) % 6.51/6.70 (assume @p3532 (forall @t4418 (= (tptp.hAPP @t4780 (tptp.hAPP @t4609 @t4431)) (tptp.hAPP @t4594 (tptp.hAPP @t4694 @t117))))) % 6.51/6.70 (assume @p3533 (forall @t89 (= (tptp.c_HOL_OThe @t8 @t4419) @t73))) % 6.51/6.70 (assume @p3534 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 6.51/6.70 (assume @p3535 (forall @t150 (tptp.c_Wellfounded_Owf @t8 @t3070))) % 6.51/6.70 (assume @p3536 (forall @t4782 (=> @t4781 (tptp.c_Wellfounded_Owf @t74 (tptp.hAPP (tptp.hAPP @t3477 @t2917) @t2))))) % 6.51/6.70 (assume @p3537 (forall (@list @t4783 @t74 @t4784 @t8) (=> (tptp.c_Wellfounded_Owf @t8 @t4784) (=> (tptp.c_Wellfounded_Owf @t74 @t4783) (tptp.c_Wellfounded_Owf @t2930 (tptp.c_Wellfounded_Olex__prod @t8 @t74 @t4784 @t4783)))))) % 6.51/6.70 (assume @p3538 (forall @t4235 (tptp.c_Wellfounded_Owf @t8 @t3244))) % 6.51/6.70 (assume @p3539 (forall @t4746 (=> @t3684 @t4786))) % 6.51/6.70 (assume @p3540 (forall @t4326 (= @t4779 (tptp.c_Wellfounded_Owf @t8 @t4787)))) % 6.51/6.70 (assume @p3541 (forall @t4788 (=> @t4781 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3069 @t3161) @t2917)) (tptp.c_Wellfounded_Owf @t8 @t3161))))) % 6.51/6.70 (assume @p3542 (forall @t3091 (=> @t4781 (tptp.c_Wellfounded_Owf @t55 (tptp.c_Wellfounded_Omin__ext @t8 @t2917))))) % 6.51/6.70 (assume @p3543 (forall @t4709 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4710))) % 6.51/6.70 (assume @p3544 (forall @t4709 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4708))) % 6.51/6.70 (assume @p3545 (forall @t3143 (=> @t4781 (not @t4576)))) % 6.51/6.70 (assume @p3546 (forall (@list @t73 @t13 @t2917 @t8) (=> @t4781 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t3287 @t73)) @t2917)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t3245 @t13)) @t2917))))))) % 6.51/6.70 (assume @p3547 (forall (@list @t2 @t201 @t8) (=> @t4779 (tptp.c_Wellfounded_Owf @t8 @t3279)))) % 6.51/6.70 (assume @p3548 (forall @t4789 (=> @t4781 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP (tptp.hAPP @t4573 @t3672) @t2917))))) % 6.51/6.70 (assume @p3549 (forall @t4789 (=> @t4781 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t4574 @t3672))))) % 6.51/6.70 (assume @p3550 (forall @t3091 (=> @t4781 (tptp.c_Wellfounded_Owf @t55 (tptp.c_Wellfounded_Omax__ext @t8 @t2917))))) % 6.51/6.70 (assume @p3551 (tptp.c_Wellfounded_Owf @t3146 tptp.c_FunDef_Opair__less)) % 6.51/6.70 (assume @p3552 (forall @t243 (= (tptp.hAPP @t4790 @t3814) @t51))) % 6.51/6.70 (assume @p3553 (forall @t150 (tptp.c_Wellfounded_Owf @t55 @t3290))) % 6.51/6.70 (assume @p3554 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t4792 (tptp.hAPP @t4791 @t472)))) % 6.51/6.70 (assume @p3555 (forall @t3599 (=> @t4781 (=> (tptp.c_Wellfounded_Owf @t8 @t428) (=> (= (tptp.hAPP (tptp.hAPP @t3864 @t4793) (tptp.hAPP @t4749 @t428)) @t56) (tptp.c_Wellfounded_Owf @t8 @t3602)))))) % 6.51/6.70 (assume @p3556 (forall @t4331 (=> @t4781 @t4329))) % 6.51/6.70 (assume @p3557 (forall @t3091 (= @t4781 (forall @t7 @t4352)))) % 6.51/6.70 (assume @p3558 (forall @t4326 (=> (= @t4787 @t3070) @t4779))) % 6.51/6.70 (assume @p3559 (forall @t1796 (= @t4796 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP (tptp.hAPP @t3600 (tptp.hAPP (tptp.hAPP @t3600 @t4787) (tptp.hAPP (tptp.hAPP @t4755 @t1791) @t201))) @t1791))))) % 6.51/6.70 (assume @p3560 (forall @t1586 (= (tptp.hAPP @t4780 @t2950) @t56))) % 6.51/6.70 (assume @p3561 (forall @t4764 (= (= @t4785 @t56) (= @t2917 @t2950)))) % 6.51/6.70 (assume @p3562 (forall @t4798 (=> @t4797 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t4785) (tptp.hAPP @t4780 @t428)))))) % 6.51/6.70 (assume @p3563 (forall @t965 (= (tptp.hAPP @t4780 (tptp.hAPP (tptp.hAPP @t2932 @t51) @t289)) (tptp.hAPP (tptp.hAPP @t1662 @t4800) @t4799)))) % 6.51/6.70 (assume @p3564 (forall @t4764 (=> @t4763 (tptp.hBOOL (tptp.hAPP @t182 @t4785))))) % 6.51/6.70 (assume @p3565 (forall @t4802 (= (tptp.hAPP @t4801 @t201) (tptp.hAPP @t4780 @t201)))) % 6.51/6.70 (assume @p3566 (forall @t3091 (= @t4781 (not (exists @t3524 (forall @t1336 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3085 (tptp.hAPP @t3232 @t4803)) @t3235)) @t2917)))))))) % 6.51/6.70 (assume @p3567 (forall (@list @t51 @t201 @t8) (=> @t4779 (=> (tptp.hBOOL (tptp.hAPP @t745 (tptp.hAPP @t4804 @t51))) @t248)))) % 6.51/6.70 (assume @p3568 (forall @t1796 (=> @t4779 (=> @t4805 (=> @t4773 @t4796))))) % 6.51/6.70 (assume @p3569 (forall @t4765 (= @t4786 (exists @t45 @t4806)))) % 6.51/6.70 (assume @p3570 (forall @t150 (=> (tptp.class_Orderings_Owellorder @t8) (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t4699 (tptp.hAPP @t3830 @t476)))))) % 6.51/6.70 (assume @p3571 (forall @t4746 (= (tptp.hAPP @t4780 (tptp.hAPP @t4519 @t2917)) (tptp.hAPP @t53 @t4785)))) % 6.51/6.70 (assume @p3572 (forall @t4617 (= @t3474 (and (tptp.c_Wellfounded_Owf @t8 @t4807) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3069 (tptp.hAPP (tptp.hAPP @t4755 @t4807) @t4808)) @t4807)))))) % 6.51/6.70 (assume @p3573 (forall (@list @t1791 @t201 @t117 @t8) (=> @t3474 (=> (tptp.hBOOL (tptp.hAPP @t4810 @t4807)) (=> (tptp.hBOOL (tptp.hAPP @t4809 @t4808)) (=> @t4805 @t4796)))))) % 6.51/6.70 (assume @p3574 (forall @t965 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP @t4780 (tptp.hAPP (tptp.hAPP @t4014 @t51) @t289))) (tptp.hAPP (tptp.hAPP @t3864 @t4800) @t4799))))) % 6.51/6.70 (assume @p3575 (forall @t965 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP (tptp.hAPP @t309 @t4800) @t4799)) (tptp.hAPP @t4780 (tptp.hAPP (tptp.hAPP @t4480 @t51) @t289)))))) % 6.51/6.70 (assume @p3576 (forall @t3091 (= @t3592 (tptp.hAPP (tptp.hAPP @t1662 @t4793) @t4811)))) % 6.51/6.70 (assume @p3577 (forall @t4782 (=> @t4781 (=> @t4207 (tptp.c_Wellfounded_Owf @t74 (tptp.hAPP (tptp.c_Set_Oimage @t3067 @t3285 (tptp.c_Product__Type_Omap__pair @t8 @t74 @t8 @t74 @t2 @t2)) @t2917)))))) % 6.51/6.70 (assume @p3578 (forall (@list @t1791 @t74 @t8) (= (tptp.hAPP @t4780 (tptp.c_Complete__Lattice_OSup__class_OSup @t2931 @t1791)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2931 @t55) @t1791) @t4780)))) % 6.51/6.70 (assume @p3579 (forall @t14 (= (tptp.c_HOL_OThe @t8 @t2906) @t13))) % 6.51/6.70 (assume @p3580 (forall @t4229 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t8 @t74 @t4775) @t73)) (tptp.hBOOL (tptp.hAPP @t283 @t4785))))) % 6.51/6.70 (assume @p3581 (forall @t3091 (=> @t4781 (tptp.c_Wellfounded_Owf @t4813 @t4812)))) % 6.51/6.70 (assume @p3582 (forall @t4765 (=> @t4786 (not (forall @t45 (not @t4806)))))) % 6.51/6.70 (assume @p3583 (forall @t4777 (=> @t3142 (tptp.hBOOL (tptp.hAPP @t4814 @t13))))) % 6.51/6.70 (assume @p3584 (forall (@list @t176 @t2917 @t74 @t8) (= (tptp.hBOOL (tptp.hAPP @t4814 @t176)) (exists @t1918 (tptp.hBOOL (tptp.hAPP @t4778 @t1916)))))) % 6.51/6.70 (assume @p3585 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t4792 (tptp.hAPP @t4791 (tptp.hAPP (tptp.hAPP @t4815 (tptp.hAPP @t4578 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 6.51/6.70 (assume @p3586 (forall @t3091 (=> @t4781 (tptp.c_Wellfounded_Owf @t4813 @t4816)))) % 6.51/6.70 (assume @p3587 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 6.51/6.70 (assume @p3588 (forall @t3091 (= @t4816 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t4819) @t4203) @t4817)))) % 6.51/6.70 (assume @p3589 (forall @t4821 (=> @t4781 (tptp.c_Wellfounded_Owf @t4813 @t4820)))) % 6.51/6.70 (assume @p3590 (forall @t3091 (= (tptp.hAPP @t4817 @t1074) (tptp.c_Orderings_Obot__class_Obot @t4819)))) % 6.51/6.70 (assume @p3591 (forall (@list @t8 @t201 @t74 @t117) (=> (forall @t7 (=> @t135 (tptp.c_Wellfounded_Owf @t74 @t4325))) (tptp.c_Wellfounded_Owf @t2930 @t3295)))) % 6.51/6.70 (assume @p3592 (forall (@list @t8 @t1 @t2 @t117) (=> (forall @t7 (=> @t135 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 (tptp.hAPP @t2 @t4)) @t5)))) (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t4699 (tptp.hAPP @t3830 (tptp.hAPP (tptp.hAPP @t3816 @t4600) (tptp.hAPP @t4701 @t1)))))))) % 6.51/6.70 (assume @p3593 (forall @t3091 (= @t4822 (tptp.c_Wellfounded_Owf @t8 @t4711)))) % 6.51/6.70 (assume @p3594 (forall @t1261 (=> @t1248 (=> (tptp.hBOOL (tptp.hAPP @t259 @t1089)) (exists @t7 (and @t363 (not (tptp.hBOOL (tptp.hAPP @t182 (tptp.hAPP @t4594 (tptp.hAPP @t4429 (tptp.hAPP @t4426 @t5)))))))))))) % 6.51/6.70 (assume @p3595 (forall @t150 (tptp.c_Wellfounded_OwfP @t8 (tptp.hAPP @t4503 @t4628)))) % 6.51/6.70 (assume @p3596 (forall @t3091 (= @t4822 (forall @t1918 (tptp.hBOOL (tptp.hAPP @t3140 @t1916)))))) % 6.51/6.70 (assume @p3597 (forall @t4331 (=> @t4822 (tptp.hBOOL (tptp.hAPP @t3140 @t73))))) % 6.51/6.70 (assume @p3598 (forall @t4788 (=> @t4822 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3153 @t3161) @t2917)) (tptp.c_Wellfounded_OwfP @t8 @t3161))))) % 6.51/6.70 (assume @p3599 (forall @t4326 (=> @t4779 (tptp.c_Wellfounded_OwfP @t8 (tptp.c_FunDef_Oin__rel @t8 @t8 @t201))))) % 6.51/6.70 (assume @p3600 (forall @t3091 (= (tptp.c_Wellfounded_OwfP @t8 @t4330) @t4781))) % 6.51/6.70 (assume @p3601 (forall @t3091 (=> @t4822 (tptp.c_Wellfounded_Oacyclic @t8 @t4711)))) % 6.51/6.70 (assume @p3602 (forall @t3820 (= @t4569 (and (forall @t7 (=> @t4824 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3830 (tptp.hAPP @t4657 @t3580)) @t3)))) @t4568)))) % 6.51/6.70 (assume @p3603 (forall @t3091 (=> @t4781 @t4825))) % 6.51/6.70 (assume @p3604 (forall @t4826 (=> (tptp.c_Wellfounded_Oacyclic @t8 @t428) (=> @t3598 @t4825)))) % 6.51/6.70 (assume @p3605 (forall @t316 (= (tptp.hBOOL (tptp.hAPP @t3584 @t289)) (forall @t7 (=> @t1667 @t4827))))) % 6.51/6.70 (assume @p3606 (forall @t150 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t8)))) % 6.51/6.70 (assume @p3607 (forall @t4617 (= (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 @t4202)) @t135)) @t1919))) % 6.51/6.70 (assume @p3608 (forall (@list @t117 @t8 @t3) (=> (tptp.hBOOL (tptp.hAPP @t137 @t56)) @t135))) % 6.51/6.70 (assume @p3609 (forall (@list @t117 @t51 @t74 @t8) (= (tptp.hAPP @t4594 (tptp.hAPP @t4650 (tptp.hAPP @t4828 @t117))) (tptp.hAPP @t4267 @t4648)))) % 6.51/6.70 (assume @p3610 (forall (@list @t2 @t2917 @t74 @t8) (= @t4000 (forall @t7 (=> @t4824 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3830 (tptp.hAPP (tptp.hAPP @t4830 (tptp.hAPP @t4829 @t4424)) @t2)) @t3))))))) % 6.51/6.70 (assume @p3611 (forall @t2381 (= @t4268 (tptp.hAPP @t4594 (tptp.hAPP @t4650 (tptp.hAPP @t4828 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t2316 @t273) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3513 (tptp.tc_fun @t2316 @t273) @t8) @t4682) @t136)) @t289))))))) % 6.51/6.70 (assume @p3612 (forall @t3091 (=> @t3604 (= @t4781 @t4825)))) % 6.51/6.70 (assume @p3613 (forall @t3091 (=> @t3604 (=> @t4825 @t4781)))) % 6.51/6.70 (assume @p3614 (forall @t243 (=> @t2415 (= @t4374 (tptp.c_Complete__Lattice_OInf__class_OInf @t8 (tptp.hAPP @t4594 (tptp.hAPP @t4832 (tptp.hAPP @t4831 @t2051)))))))) % 6.51/6.70 (assume @p3615 (forall @t243 (=> @t2415 (= @t4327 (tptp.c_Complete__Lattice_OSup__class_OSup @t8 (tptp.hAPP @t4594 (tptp.hAPP @t4832 (tptp.hAPP @t4831 @t777)))))))) % 6.51/6.70 (assume @p3616 (forall @t3091 (= (tptp.c_Nitpick_Owf_H @t8 @t2917) (and @t4825 (or @t3604 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 6.51/6.70 (assume @p3617 (forall @t4834 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1636 @t1636) (tptp.hAPP @t1748 (tptp.hAPP (tptp.hAPP @t1747 (tptp.hAPP @t1633 tptp.c_fconj)) @t117))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate) tptp.c_fNot) @t58))) @t4833) @t117)) @t11)))) % 6.51/6.70 (assume @p3618 (forall (@list @t281 @t18 @t428 @t58) (=> @t1365 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4835 @t428) @t281) @t428))))) % 6.51/6.70 (assume @p3619 (forall (@list @t4836 @t1358 @t281 @t18 @t4837 @t58) (=> @t4838 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t429 @t4837) @t281) @t1358)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4835 @t1358) @t281) @t4836)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4835 @t4837) @t281) @t4836))))))) % 6.51/6.70 (assume @p3620 (forall (@list @t4836 @t1358 @t18 @t4837 @t58) (=> @t4838 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t431 @t4837) @t1358)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4839 @t1358) @t4836)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4839 @t4837) @t4836))))))) % 6.51/6.70 (assume @p3621 (forall (@list @t18 @t428 @t58) (=> @t1365 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4839 @t428) @t428))))) % 6.51/6.70 (assume @p3622 (forall (@list @t18 @t58) (=> @t4840 @t23))) % 6.51/6.70 (assume @p3623 (forall (@list @t152 @t90 @t155 @t164 @t153) (not (= @t4841 @t157)))) % 6.51/6.70 (assume @p3624 (forall (@list @t164 @t153 @t152 @t90 @t155) (not (= @t157 @t4841)))) % 6.51/6.70 (assume @p3625 (forall (@list @t163 @t152 @t216 @t219) (not (= @t222 @t4842)))) % 6.51/6.70 (assume @p3626 (forall (@list @t216 @t219 @t163 @t152) (not (= @t4842 @t222)))) % 6.51/6.70 (assume @p3627 (forall (@list @t164 @t153 @t1448 @t163 @t152) (not (= @t4842 @t1449)))) % 6.51/6.70 (assume @p3628 (forall (@list @t163 @t152 @t164 @t153 @t1448) (not (= @t1449 @t4842)))) % 6.51/6.70 (assume @p3629 (forall (@list @t216 @t219 @t153 @t163 @t152) (not (= @t4842 @t1351)))) % 6.51/6.70 (assume @p3630 (forall (@list @t163 @t152 @t216 @t219 @t153) (not (= @t1351 @t4842)))) % 6.51/6.70 (assume @p3631 (forall (@list @t346 @t179 @t178 @t176) (= (tptp.hBOOL (tptp.hAPP @t4847 @t179)) (=> @t1417 (exists @t347 (and @t4846 (tptp.hBOOL (tptp.hAPP @t4845 @t179)))))))) % 6.51/6.70 (assume @p3632 (forall (@list @t433 @t346 @t179 @t178 @t176) (= (tptp.hBOOL (tptp.hAPP @t4847 @t433)) (or (and (= @t433 @t179) @t1418) (and @t1417 (exists @t347 (and @t4846 (tptp.hBOOL (tptp.hAPP @t4845 @t433))))))))) % 6.51/6.70 (assume @p3633 (forall (@list @t344 @t179 @t178 @t176) (= (tptp.hBOOL (tptp.hAPP @t4851 @t344)) (or (and (= @t344 @t179) @t1418) (and @t1417 (exists @t347 (and @t4850 (tptp.hBOOL (tptp.hAPP @t4849 @t344))))))))) % 6.51/6.70 (assume @p3634 (forall (@list @t179 @t178 @t176) (= (tptp.hBOOL (tptp.hAPP @t4851 @t179)) (=> @t1417 (exists @t347 (and @t4850 (tptp.hBOOL (tptp.hAPP @t4849 @t179)))))))) % 6.51/6.70 (assume @p3635 (forall (@list @t164 @t153 @t90) (not (= @t93 @t4841)))) % 6.51/6.70 (assume @p3636 (forall (@list @t90 @t164 @t153) (not (= @t4841 @t93)))) % 6.51/6.70 (assume @p3637 (forall (@list @t176 @t179) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OWhile @t179 @t176))) @t234))) % 6.51/6.70 (assume @p3638 (forall (@list @t58 @t18) (=> @t23 @t4840))) % 6.51/6.70 (assume @p3639 (forall (@list @t163 @t152 @t164 @t153) (= (= @t4841 @t4842) (and @t154 @t165)))) % 6.51/6.70 (assume @p3640 (forall @t4852 (not (= tptp.c_Com_Ocom_OSKIP @t4842)))) % 6.51/6.70 (assume @p3641 (forall @t4852 (not (= @t4842 tptp.c_Com_Ocom_OSKIP)))) % 6.51/6.70 (assume @p3642 (forall (@list @t281 @t28 @t8) (=> (forall @t7 (=> @t4854 (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t282 @t3))) (forall @t7 (=> @t4854 (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t281 @t3)))))) % 6.51/6.70 (assume @p3643 (forall @t181 (= @t180 (forall @t430 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4853 @t12)) @t4855)) (forall @t7 (=> @t4854 @t4855))))))) % 6.51/6.70 (assume @p3644 (forall @t243 (= @t4340 (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3513 tptp.tc_HOL_Obool @t8) (tptp.c_HOL_OAll @t55)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3513 @t3513 @t8) (tptp.hAPP @t4678 (tptp.hAPP (tptp.hAPP @t4675 tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t55 @t3513 tptp.tc_HOL_Obool) @t3510) @t51)))) @t136)))))) % 6.51/6.70 (assume @p3645 (forall @t4856 (= (tptp.hAPP @t1323 @t4841) @t1451))) % 6.51/6.70 (assume @p3646 (forall @t4856 (= (tptp.c_Com_Ocom_Ocom__size @t4841) @t1447))) % 6.51/6.70 (assume @p3647 (forall @t1828 (not (forall @t45 (=> (= @t73 @t4858) (not @t4857)))))) % 6.51/6.70 (assume @p3648 (forall (@list @t73 @t117) (=> (forall @t45 (=> @t4857 (tptp.hBOOL (tptp.hAPP @t117 @t4858)))) @t133))) % 6.51/6.70 (assume @p3649 (forall (@list @t1468 @t2 @t74 @t8) (=> @t4239 (tptp.hBOOL (tptp.hAPP @t4217 (tptp.hAPP (tptp.c_Set_Oimage @t74 @t407 (tptp.c_Map_Omap__add @t74 @t8 @t2 (tptp.hAPP @t4859 @t1468))) @t4212)))))) % 6.51/6.70 (assume @p3650 (forall @t766 (=> @t184 (=> @t4536 @t2211)))) % 6.51/6.70 (assume @p3651 (forall (@list @t1468 @t74 @t8) (tptp.hBOOL (tptp.hAPP @t182 (tptp.c_Map_Odom @t8 @t74 @t4861))))) % 6.51/6.70 (assume @p3652 (forall @t4864 (tptp.hBOOL (tptp.hAPP @t4217 (tptp.hAPP (tptp.c_Set_Oimage @t74 @t407 @t4863) @t4212))))) % 6.51/6.70 (assume @p3653 (forall (@list @t4865 @t378 @t74 @t8) (= (tptp.c_Map_Omap__add @t8 @t74 @t378 @t4872) (tptp.c_List_Ofoldr @t2930 @t4866 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t74 @t4868) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4871 @t4870) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4869 (tptp.tc_fun @t4871 @t4870) @t8) (tptp.c_COMBB @t418 @t4868 @t74)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t4866 @t4867) @t4869 @t8) (tptp.c_COMBC @t4866 @t418 @t4866)) (tptp.hAPP (tptp.c_COMBC @t4866 @t8 @t4867) @t419)))) @t127)) @t4865 @t378)))) % 6.51/6.70 (assume @p3654 (forall (@list @t73 @t205 @t33 @t210 @t2 @t74 @t8) (=> @t4207 (=> (= (tptp.hAPP (tptp.hAPP @t4876 @t33) @t205) @t4874) (= (tptp.hAPP (tptp.hAPP @t4875 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4549 @t3168) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t210 @t3168) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 @t4248 @t8) @t3134) @t2))) @t33)) (tptp.hAPP @t2 @t205)) @t4874))))) % 6.51/6.70 (assume @p3655 (forall @t1588 (=> @t4207 @t4882))) % 6.51/6.70 (assume @p3656 (forall @t1588 (= @t4882 @t4207))) % 6.51/6.70 (assume @p3657 (forall @t4889 (=> @t4207 @t4888))) % 6.51/6.70 (assume @p3658 (forall @t1588 (=> @t4882 @t4207))) % 6.51/6.70 (assume @p3659 (forall @t4895 (=> @t4894 (=> (tptp.c_Fun_Oinj__on @t74 @t8 @t2 @t4212) @t4885)))) % 6.51/6.70 (assume @p3660 (forall @t4898 (= (tptp.hAPP @t4897 @t4884) @t4884))) % 6.51/6.70 (assume @p3661 (forall @t150 (= @t4897 @t4899))) % 6.51/6.70 (assume @p3662 (forall @t150 (= (tptp.hAPP @t4896 @t4720) @t4899))) % 6.51/6.70 (assume @p3663 (= tptp.c_Com_Obody (tptp.hAPP (tptp.c_Map_Omap__of tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.c_Com_Obodies))) % 6.51/6.70 (assume @p3664 (forall (@list @t378 @t74 @t4884 @t8) (=> (= @t4904 @t380) (= (tptp.hAPP @t4860 (tptp.hAPP (tptp.hAPP @t4902 (tptp.hAPP @t4901 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t418 @t74 @t8) @t4900) @t378))) @t4884)) @t378)))) % 6.51/6.70 (assume @p3665 (forall @t4898 (tptp.hBOOL (tptp.hAPP @t182 @t4904)))) % 6.51/6.70 (assume @p3666 (forall @t4908 (= (tptp.hAPP @t4903 @t4893) @t4907))) % 6.51/6.70 (assume @p3667 (forall (@list @t1 @t4884 @t2 @t8 @t74) (= (= @t4893 @t4909) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t741 @t4906)) @t6))))) % 6.51/6.70 (assume @p3668 (forall @t150 (not (tptp.hBOOL (tptp.hAPP @t4910 @t4878))))) % 6.51/6.70 (assume @p3669 (= tptp.c_Com_OWT__bodies (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t4911) @t3) (tptp.hAPP (tptp.c_List_Oset @t4911) tptp.c_Com_Obodies))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Com_Opname tptp.tc_Com_Ocom tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun tptp.tc_Com_Ocom tptp.tc_HOL_Obool) tptp.tc_Com_Opname) tptp.c_Com_OWT)) @t3)))))) % 6.51/6.70 (assume @p3670 (forall @t4889 (=> @t4914 @t4888))) % 6.51/6.70 (assume @p3671 (forall @t4895 (=> @t4894 (=> (tptp.c_Fun_Oinj__on @t74 @t8 @t2 (tptp.hAPP (tptp.hAPP @t1734 @t4906) @t4915)) @t4885)))) % 6.51/6.70 (assume @p3672 (forall (@list @t240 @t2 @t74 @t4884 @t100 @t8) (=> (not @t4916) (= (tptp.hAPP (tptp.hAPP @t4879 (tptp.hAPP (tptp.hAPP @t449 @t100) @t240)) @t4884) @t4887)))) % 6.51/6.70 (assume @p3673 (forall @t1108 (=> (tptp.c_Fun_Oinj__on @t8 @t74 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t55 (tptp.hAPP @t4917 @t51))) (tptp.c_Fun_Oinj__on @t4813 @t4881 @t4880 @t51)))) % 6.51/6.70 (assume @p3674 (forall @t4924 (=> @t4923 (= (tptp.hAPP @t4801 @t4920) (tptp.hAPP @t4801 @t4919))))) % 6.51/6.70 (assume @p3675 (forall (@list @t100 @t73 @t4862 @t8 @t74) (=> (= @t4927 @t114) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3686 @t3264) @t4926))))) % 6.51/6.70 (assume @p3676 (forall (@list @t100 @t205 @t4884 @t8 @t74) (=> (= @t4928 @t114) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3686 (tptp.hAPP (tptp.hAPP @t3251 @t205) @t100)) (tptp.hAPP @t4925 @t4884)))))) % 6.51/6.70 (assume @p3677 (forall @t4864 (= (tptp.c_Map_Odom @t8 @t74 @t4930) (tptp.hAPP @t4801 @t4929)))) % 6.51/6.70 (assume @p3678 (forall (@list @t73 @t4862 @t8 @t74) (= (= @t4927 @t149) (not (tptp.hBOOL (tptp.hAPP @t351 (tptp.hAPP @t4512 @t4926))))))) % 6.51/6.70 (assume @p3679 (forall (@list @t4931 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4933 (tptp.hAPP @t4932 @t4931))) (= (tptp.c_Map_Oran @t8 @t74 (tptp.hAPP @t4860 @t4931)) (tptp.hAPP @t4514 (tptp.hAPP @t4918 @t4931)))))) % 6.51/6.70 (assume @p3680 (forall @t4936 (=> @t4935 (= @t4920 (tptp.hAPP @t4609 (tptp.hAPP @t3130 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4871 @t273) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4636 (tptp.tc_fun @t4871 @t273) @t8) (tptp.c_COMBB @t418 tptp.tc_HOL_Obool @t74)) (tptp.hAPP @t4637 @t4922))) @t127))))))) % 6.51/6.70 (assume @p3681 (forall @t4908 (= (tptp.hBOOL (tptp.hAPP @t4933 @t4893)) (and @t4938 (tptp.c_Fun_Oinj__on @t74 @t8 @t2 @t4906))))) % 6.51/6.70 (assume @p3682 (forall @t4924 (=> @t4935 (=> (tptp.hBOOL (tptp.hAPP @t4933 @t4939)) (= @t4923 (= @t4920 @t4919)))))) % 6.51/6.70 (assume @p3683 (forall (@list @t73 @t100 @t4862 @t74 @t8) (=> @t4942 (= (= @t417 @t4941) @t4940)))) % 6.51/6.70 (assume @p3684 (forall @t4944 (=> @t4942 (= @t4943 @t4940)))) % 6.51/6.70 (assume @p3685 (forall @t4944 (=> @t4942 (=> @t4940 @t4943)))) % 6.51/6.70 (assume @p3686 (forall @t3523 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t638 @t637) (tptp.hAPP @t4946 (tptp.c_List_Oupto @t1889 @t4945))))) % 6.51/6.70 (assume @p3687 (forall (@list @t1468 @t73 @t205 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2936 (tptp.hAPP (tptp.hAPP @t2933 @t205) @t73)) (tptp.hAPP @t4918 @t1468))) (exists @t7 (= (tptp.hAPP @t4861 @t205) (tptp.hAPP @t127 @t3)))))) % 6.51/6.70 (assume @p3688 (forall @t3523 (= @t3548 @t4948))) % 6.51/6.70 (assume @p3689 (forall @t3523 (= @t4948 @t3548))) % 6.51/6.70 (assume @p3690 (forall @t596 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t4949)))) % 6.51/6.70 (assume @p3691 (forall @t3523 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t638) @t637) (tptp.hAPP @t4946 (tptp.c_List_Oupto @t638 @t4945))))) % 6.51/6.70 (assume @p3692 (forall @t3523 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t638 @t637) (tptp.hAPP @t4946 @t4950)))) % 6.51/6.70 (assume @p3693 (forall @t2353 (= (tptp.c_List_Onat__list @t1468) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t4946 @t1468))))) % 6.51/6.70 (assume @p3694 (forall (@list @t4951 @t2 @t74 @t8) (= (tptp.hAPP @t4860 (tptp.hAPP (tptp.hAPP @t4902 (tptp.hAPP @t4901 @t2)) @t4951)) (tptp.c_Map_Orestrict__map @t8 @t74 (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t418 @t8 @t127) @t2) (tptp.hAPP @t4903 @t4951))))) % 6.51/6.70 (assume @p3695 (forall @t1588 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t74 @t8 @t2) @t4720) @t2))) % 6.51/6.70 (assume @p3696 (forall (@list @t1 @t8 @t74) (= (tptp.hAPP @t4952 @t1) @t1))) % 6.51/6.70 (assume @p3697 (forall @t4956 (=> (= @t4955 (tptp.hAPP @t4952 @t18)) @t4954))) % 6.51/6.70 (assume @p3698 (forall @t1699 (=> @t4207 (=> (tptp.c_Fun_Oinj__on @t210 @t8 @t1 @t4553) (tptp.c_Fun_Oinj__on @t210 @t74 @t4957 @t4553))))) % 6.51/6.70 (assume @p3699 (forall (@list @t51 @t2 @t4958 @t210 @t74 @t8) (=> (tptp.c_Fun_Oinj__on @t8 @t74 (tptp.hAPP (tptp.c_Fun_Ocomp @t210 @t74 @t8 @t4958) @t2) @t51) (tptp.c_Fun_Oinj__on @t8 @t210 @t2 @t51)))) % 6.51/6.70 (assume @p3700 (forall @t451 (=> @t4625 @t4960))) % 6.51/6.70 (assume @p3701 (forall (@list @t4961 @t638 @t1096 @t4962 @t3167 @t1 @t2 @t74 @t3169 @t8 @t210) (= (tptp.hAPP @t4562 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t3167 @t210 @t4962 @t3169 @t1096 @t638) @t4961)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t3167 @t8 @t4962 @t74 (tptp.hAPP (tptp.c_Fun_Ocomp @t210 @t8 @t3167 @t2) @t1096) (tptp.hAPP (tptp.c_Fun_Ocomp @t3169 @t74 @t4962 @t1) @t638)) @t4961)))) % 6.51/6.70 (assume @p3702 (forall (@list @t4963 @t4964 @t4962 @t125 @t129 @t3167 @t3169 @t74 @t210 @t8) (= (tptp.c_Product__Type_Omap__pair @t8 @t210 @t74 @t3169 (tptp.hAPP (tptp.c_Fun_Ocomp @t3167 @t210 @t8 @t129) @t125) (tptp.hAPP (tptp.c_Fun_Ocomp @t4962 @t3169 @t74 @t4964) @t4963)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4965 @t4525 @t2930 (tptp.c_Product__Type_Omap__pair @t3167 @t210 @t4962 @t3169 @t129 @t4964)) (tptp.c_Product__Type_Omap__pair @t8 @t3167 @t74 @t4962 @t125 @t4963))))) % 6.51/6.70 (assume @p3703 (forall (@list @t638 @t1096 @t1 @t2 @t74 @t8 @t3169 @t210 @t4962 @t3167) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4965 @t4525 @t2930 (tptp.c_Product__Type_Omap__pair @t3167 @t210 @t4962 @t3169 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t8 @t3167 @t74 @t4962 @t1096 @t638)) (tptp.c_Product__Type_Omap__pair @t8 @t210 @t74 @t3169 (tptp.hAPP (tptp.c_Fun_Ocomp @t3167 @t210 @t8 @t2) @t1096) (tptp.hAPP (tptp.c_Fun_Ocomp @t4962 @t3169 @t74 @t1) @t638))))) % 6.51/6.70 (assume @p3704 (forall (@list @t73 @t2 @t1 @t210 @t74 @t8) (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t74 @t4966) @t73) (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t210 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t210 @t74 @t1) @t73))))) % 6.51/6.70 (assume @p3705 (forall @t4970 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4450 @t418 @t407 @t4969) (tptp.hAPP (tptp.c_Option_Omap @t8 @t210) @t1)) (tptp.hAPP @t4437 @t4968)))) % 6.51/6.70 (assume @p3706 (forall (@list @t4971 @t1 @t210 @t2 @t8 @t74) (= (tptp.hAPP @t4443 (tptp.hAPP @t4974 @t4971)) (tptp.hAPP @t4973 @t4971)))) % 6.51/6.70 (assume @p3707 (forall (@list @t4444 @t1 @t210 @t2 @t8 @t74) (= (tptp.hAPP @t4443 (tptp.hAPP @t4974 @t4444)) (tptp.hAPP @t4973 @t4444)))) % 6.51/6.70 (assume @p3708 (forall (@list @t73 @t2 @t18 @t210 @t8 @t74) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t8 @t210 @t4453) @t2) @t73) @t18))) % 6.51/6.70 (assume @p3709 (forall @t4956 (=> (= @t4955 @t18) @t4954))) % 6.51/6.70 (assume @p3710 (forall @t4197 (= (tptp.hAPP @t4141 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3169 @t210 @t8 @t1) @t73)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3169 @t74 @t8 @t4975) @t73)))) % 6.51/6.70 (assume @p3711 (forall @t4188 (= (tptp.hAPP @t4187 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3169 @t210 @t74 @t1) @t73)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3169 @t8 @t74 (tptp.hAPP (tptp.c_Fun_Ocomp @t210 @t8 @t3169 @t2) @t1)) @t73)))) % 6.51/6.70 (assume @p3712 (forall @t542 (=> @t1660 (= @t4977 @t4976)))) % 6.51/6.70 (assume @p3713 (forall (@list @t100 @t73 @t1 @t2 @t8 @t74 @t210) (= (tptp.hAPP @t4967 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t8 @t210) @t1) @t73) @t100)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t448 @t4968) @t73) @t1676)))) % 6.51/6.70 (assume @p3714 (forall (@list @t1096 @t1 @t3169 @t2 @t8 @t74 @t210) (= (tptp.hAPP @t4967 (tptp.hAPP (tptp.c_Fun_Ocomp @t3169 @t210 @t8 @t1) @t1096)) (tptp.hAPP (tptp.c_Fun_Ocomp @t3169 @t74 @t8 @t4975) @t1096)))) % 6.51/6.70 (assume @p3715 (forall (@list @t73 @t1 @t2 @t210 @t8 @t74) (= @t4978 @t254))) % 6.51/6.70 (assume @p3716 (forall (@list @t240 @t60 @t18 @t3169 @t58 @t13 @t8 @t74 @t210) (=> @t4979 (= @t4953 (tptp.hAPP @t18 (tptp.hAPP @t60 @t240)))))) % 6.51/6.70 (assume @p3717 (forall (@list @t60 @t18 @t3169 @t58 @t13 @t8 @t74 @t210) (=> @t4979 (forall @t1592 (= (tptp.hAPP @t13 (tptp.hAPP @t58 @t1591)) (tptp.hAPP @t18 (tptp.hAPP @t60 @t1591))))))) % 6.51/6.70 (assume @p3718 (forall (@list @t3167 @t3169 @t210 @t8 @t74 @t4980 @t4981 @t4958 @t73 @t1 @t2) (=> (= @t254 (tptp.hAPP @t4958 (tptp.hAPP @t4981 @t4980))) (= @t4978 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t3169 @t8 @t3167 @t4958) @t4981) @t4980))))) % 6.51/6.70 (assume @p3719 (forall (@list @t2917 @t1 @t2 @t210 @t8 @t74) (= (tptp.hAPP (tptp.c_Set_Oimage @t74 @t8 (tptp.hAPP (tptp.c_Fun_Ocomp @t210 @t8 @t74 @t2) @t1)) @t2917) (tptp.hAPP @t4221 (tptp.hAPP @t4220 @t2917))))) % 6.51/6.70 (assume @p3720 (forall (@list @t51 @t2 @t1 @t210 @t74 @t8) (=> (tptp.c_Fun_Oinj__on @t8 @t74 @t4966 @t51) (tptp.c_Fun_Oinj__on @t210 @t74 @t1 (tptp.hAPP @t4653 @t51))))) % 6.51/6.70 (assume @p3721 (forall (@list @t1 @t210 @t51 @t2 @t74 @t8) (=> @t4042 (=> (tptp.c_Fun_Oinj__on @t74 @t210 @t1 @t1089) (tptp.c_Fun_Oinj__on @t8 @t210 (tptp.hAPP @t4982 @t2) @t51))))) % 6.51/6.70 (assume @p3722 (forall (@list @t4958 @t210 @t51 @t2 @t74 @t8) (=> @t4042 (= (tptp.c_Fun_Oinj__on @t74 @t210 @t4958 @t1089) (tptp.c_Fun_Oinj__on @t8 @t210 (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t210 @t8 @t4958) @t2) @t51))))) % 6.51/6.70 (assume @p3723 (forall (@list @t1 @t210 @t2 @t8 @t74) (=> @t4238 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t210 @t1) @t4202) @t4553) (= (tptp.hAPP (tptp.c_Set_Oimage @t74 @t210 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t210 @t74 @t1) @t2)) @t4212) @t4553))))) % 6.51/6.70 (assume @p3724 (forall @t4970 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4985 @t4881 @t4813 @t4984) (tptp.hAPP (tptp.c_List_Omap @t8 @t210) @t1)) (tptp.hAPP @t4879 @t4968)))) % 6.51/6.70 (assume @p3725 (forall (@list @t4986 @t1 @t210 @t2 @t8 @t74) (= (tptp.hAPP @t4891 (tptp.hAPP @t4989 @t4986)) (tptp.hAPP @t4988 @t4986)))) % 6.51/6.70 (assume @p3726 (forall (@list @t4884 @t1 @t210 @t2 @t8 @t74) (= (tptp.hAPP @t4891 (tptp.hAPP @t4989 @t4884)) (tptp.hAPP @t4988 @t4884)))) % 6.51/6.70 (assume @p3727 (forall @t4166 (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t418 @t407 @t210 @t4443) @t1575) @t73) @t149))) % 6.51/6.70 (assume @p3728 (forall @t4993 (=> @t4544 (=> @t4043 (= (tptp.hAPP @t4992 @t1112) (tptp.hAPP @t4991 @t289)))))) % 6.51/6.70 (assume @p3729 (forall @t4997 (=> @t4535 (=> @t4042 (=> @t4996 (=> (= @t1 @t4990) @t4995)))))) % 6.51/6.70 (assume @p3730 (forall @t4993 (=> @t4535 (=> @t4043 (= (tptp.hAPP @t4994 @t1112) (tptp.hAPP (tptp.hAPP @t4539 @t4990) @t289)))))) % 6.51/6.70 (assume @p3731 (forall (@list @t58 @t13 @t378 @t2 @t8 @t74 @t210) (= (tptp.hAPP @t4998 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t8 @t4450) @t378) @t13) (tptp.hAPP @t4873 @t58))) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 (tptp.hAPP @t4998 @t378)) @t13) (tptp.hAPP @t127 (tptp.hAPP @t2 @t58)))))) % 6.51/6.70 (assume @p3732 (forall @t5002 (=> @t3744 (=> @t184 (=> @t5001 (= (tptp.hAPP @t3741 @t5000) (tptp.hAPP (tptp.hAPP @t3740 @t4999) @t51))))))) % 6.51/6.70 (assume @p3733 (forall @t5002 (=> @t2916 (=> @t184 (=> @t5001 (= (tptp.hAPP @t2987 @t5000) (tptp.hAPP (tptp.hAPP @t2911 @t4999) @t51))))))) % 6.51/6.70 (assume @p3734 (forall (@list @t73 @t51 @t1 @t210 @t2 @t74 @t8) (=> (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t5003) (=> (tptp.c_Fun_Oinj__on @t210 @t8 @t1 @t51) (=> (tptp.hBOOL (tptp.hAPP @t351 (tptp.hAPP @t1088 @t5003))) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t210 @t74 @t51 @t4957) @t73) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t210 @t74 (tptp.c_Fun_Othe__inv__into @t210 @t8 @t51 @t1)) (tptp.c_Fun_Othe__inv__into @t8 @t74 @t5003 @t2)) @t73))))))) % 6.51/6.70 (assume @p3735 (forall (@list @t261 @t1 @t1096 @t74 @t51 @t8 @t210) (=> (tptp.class_Groups_Oab__semigroup__mult @t210) (=> @t184 (=> (tptp.c_Fun_Oinj__on @t8 @t74 @t1096 @t51) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4531 @t1) @t261) (tptp.hAPP @t1097 @t51)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4534 (tptp.hAPP @t4982 @t1096)) @t261) @t51))))))) % 6.51/6.70 (assume @p3736 (forall (@list @t4884 @t2 @t210 @t74 @t8) (= (tptp.hAPP @t4860 (tptp.hAPP @t5005 @t4884)) (tptp.hAPP @t4998 (tptp.hAPP @t4876 @t4884))))) % 6.51/6.70 (assume @p3737 (forall @t5008 (=> @t5007 (=> @t184 (=> @t323 (= @t245 @t5006)))))) % 6.51/6.70 (assume @p3738 (forall (@list @t1 @t1096 @t51 @t244 @t261 @t2 @t74 @t8) (=> @t5009 (=> @t260 (=> (tptp.c_Fun_Oinj__on @t74 @t74 @t1096 @t51) (= (tptp.hAPP @t4083 (tptp.hAPP (tptp.c_Set_Oimage @t74 @t74 @t1096) @t51)) (tptp.hAPP (tptp.hAPP @t244 (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t8 @t74 @t1) @t1096)) @t51))))))) % 6.51/6.70 (assume @p3739 (forall (@list @t1 @t2 @t74 @t8 @t210 @t3169) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5010 @t210 @t2930 @t4196) (tptp.c_Product__Type_Omap__pair @t8 @t3169 @t74 @t210 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t210 @t2930 @t1) @t3249)))) % 6.51/6.70 (assume @p3740 (forall (@list @t1 @t2 @t74 @t8 @t3169 @t210) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4525 @t210 @t2930 @t4185) @t4558) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t210 @t2930 @t2) @t3250)))) % 6.51/6.70 (assume @p3741 (forall (@list @t1096 @t1 @t4962 @t2 @t210 @t3169 @t3167 @t244 @t1299 @t74 @t8) (=> (tptp.c_Finite__Set_Ofolding @t8 @t74 @t1299 @t244) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t3167 @t3169 @t210 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t4962 @t3167 @t210 @t1) @t1096)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4962 @t3169 @t210 (tptp.hAPP (tptp.c_Fun_Ocomp @t3167 @t3169 @t4962 @t2) @t1)) @t1096))))) % 6.51/6.70 (assume @p3742 (forall (@list @t73 @t100 @t244 @t2 @t74 @t8) (=> @t5007 (= @t4976 @t4977)))) % 6.51/6.70 (assume @p3743 (forall (@list @t1 @t73 @t100 @t210 @t244 @t2 @t74 @t8) (=> @t5007 (= (tptp.hAPP @t5011 @t5013) (tptp.hAPP @t5012 (tptp.hAPP @t5011 @t1)))))) % 6.51/6.70 (assume @p3744 (forall (@list @t2 @t1 @t210 @t51 @t8 @t74) (= (tptp.hAPP @t2297 (tptp.hAPP (tptp.c_Fun_Ocomp @t210 @t55 @t74 @t1) @t2)) (tptp.hAPP @t2393 @t1)))) % 6.51/6.70 (assume @p3745 (forall (@list @t13 @t4884 @t2 @t210 @t1 @t8 @t74) (= (tptp.c_List_Ofoldr @t74 @t8 @t1 @t5014 @t13) (tptp.c_List_Ofoldr @t210 @t8 (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t1969 @t210 @t1) @t2) @t4884 @t13)))) % 6.51/6.70 (assume @p3746 (forall (@list @t1096 @t1 @t51 @t244 @t261 @t2 @t74 @t8) (=> @t5009 (=> @t260 (= (tptp.hAPP (tptp.hAPP @t244 (tptp.hAPP (tptp.hAPP @t2970 @t4051) @t1096)) @t51) (tptp.hAPP (tptp.hAPP @t2 @t4084) (tptp.hAPP (tptp.hAPP @t244 @t1096) @t51))))))) % 6.51/6.70 (assume @p3747 (forall (@list @t73 @t1 @t2 @t3169 @t8 @t210 @t74) (= (tptp.hAPP (tptp.hAPP @t3163 (tptp.hAPP (tptp.c_Fun_Ocomp @t3169 @t2414 @t74 @t2) @t1)) @t73) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t3258 @t73))) @t4165)))) % 6.51/6.70 (assume @p3748 (forall @t5008 (=> @t5007 (=> @t184 (= (tptp.hAPP @t4959 @t245) @t5016))))) % 6.51/6.70 (assume @p3749 (forall (@list @t1 @t73 @t210 @t51 @t244 @t2 @t74 @t8) (=> @t5007 (=> @t184 (= (tptp.hAPP @t5012 @t5018) (tptp.hAPP @t5017 @t5013)))))) % 6.51/6.70 (assume @p3750 (forall @t5020 (=> @t5007 (=> @t184 (=> @t361 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t74 @t74 @t995) @t245) @t5019)))))) % 6.51/6.70 (assume @p3751 (forall (@list @t1 @t210 @t289 @t51 @t244 @t2 @t74 @t8) (=> @t5007 (=> @t184 (=> @t361 (= (tptp.hAPP @t5021 @t5018) (tptp.hAPP @t5017 (tptp.hAPP @t5021 @t1)))))))) % 6.51/6.70 (assume @p3752 (forall (@list @t244 @t2 @t74 @t8) (=> @t5007 (= (tptp.hAPP @t244 @t56) @t4724)))) % 6.51/6.70 (assume @p3753 (forall (@list @t428 @t51 @t244 @t2 @t74 @t8) (=> @t5007 (=> @t184 (= (tptp.hAPP @t245 @t428) (tptp.hAPP (tptp.hAPP @t1656 @t428) @t51)))))) % 6.51/6.70 (assume @p3754 (forall @t4088 (=> @t5009 @t4086))) % 6.51/6.70 (assume @p3755 (forall (@list @t289 @t51 @t2 @t210 @t74 @t8) (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t3168 @t2) @t4495) (tptp.hAPP (tptp.hAPP @t3864 (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t74 (tptp.hAPP (tptp.c_Fun_Ocomp @t3168 @t74 @t8 @t3258) @t2)) @t51)) (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t210 (tptp.hAPP (tptp.c_Fun_Ocomp @t3168 @t210 @t8 @t3256) @t2)) @t289))))) % 6.51/6.70 (assume @p3756 (forall @t5008 (=> @t5007 (=> @t184 (=> @t353 @t5022))))) % 6.51/6.70 (assume @p3757 (forall @t5020 (=> @t5007 (=> @t184 (=> @t361 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t74 @t74 @t1762) @t3989) @t5019)))))) % 6.51/6.70 (assume @p3758 (forall @t5008 (=> @t5007 (=> @t184 (= @t247 @t5006))))) % 6.51/6.70 (assume @p3759 (forall @t5020 (=> @t5007 (=> @t184 (=> @t361 (=> @t3906 @t5023)))))) % 6.51/6.70 (assume @p3760 (forall @t4834 (=> (tptp.c_Hoare__Mirabelle_Ohoare__valids @t8 @t12 @t5027) (tptp.c_Hoare__Mirabelle_Ohoare__valids @t8 @t12 @t5025)))) % 6.51/6.70 (assume @p3761 (forall (@list @t60 @t116 @t18 @t58 @t117 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP @t5026 @t116)) @t11)) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t118 @t5024) @t60) @t116)) @t11)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP @t119 (tptp.c_Com_Ocom_OCond @t58 @t18 @t60)) @t116)) @t11)))))) % 6.51/6.70 (assume @p3762 (forall (@list @t428 @t1829 @t3161 @t117 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Opeek__and @t8 @t117 @t3161) @t1829) @t428)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t117 @t1829) @t428)) (tptp.hBOOL (tptp.hAPP @t3161 @t428)))))) % 6.51/6.70 (assume @p3763 (forall @t4834 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t5027) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t5025)))) % 6.51/6.70 (assume @p3764 (forall (@list @t74 @t1096 @t2 @t1791 @t8 @t210) (=> @t4544 (=> @t2151 (=> (forall @t7 (=> @t3006 (forall @t45 (=> (tptp.hBOOL (tptp.hAPP @t4005 @t1791)) (=> (not @t5028) (=> @t4004 (= (tptp.hAPP @t1096 @t5) (tptp.c_Groups_Ozero__class_Ozero @t210)))))))) (= (tptp.hAPP @t4992 (tptp.hAPP @t1088 @t1791)) (tptp.hAPP @t4991 @t1791))))))) % 6.51/6.70 (assume @p3765 (forall @t5020 (=> @t5029 (=> @t184 (=> @t361 @t5023))))) % 6.51/6.70 (assume @p3766 (forall (@list @t1 @t73 @t210 @t244 @t2 @t74 @t8) (=> @t5029 (= (tptp.hAPP @t5012 @t5013) @t5013)))) % 6.51/6.70 (assume @p3767 (forall (@list @t73 @t244 @t2 @t74 @t8) (=> @t5029 @t4960))) % 6.51/6.70 (assume @p3768 (forall @t5008 (=> @t5029 (=> @t184 (=> @t323 (= @t5016 @t245)))))) % 6.51/6.70 (assume @p3769 (forall @t5008 (=> @t5029 (=> @t184 @t5022)))) % 6.51/6.70 (assume @p3770 (forall @t5020 (=> @t5029 (=> @t184 (=> @t780 (= @t5019 @t245)))))) % 6.51/6.70 (assume @p3771 (forall @t5035 (=> @t5034 (= @t5033 @t5031)))) % 6.51/6.70 (assume @p3772 (forall (@list @t2 @t74 @t4884 @t73 @t8) (and (=> @t5039 (= @t5038 (tptp.hAPP @t127 @t115))) (=> @t5040 (= @t5038 @t159))))) % 6.51/6.70 (assume @p3773 (forall @t5042 (= (tptp.c_List_Oremove1 @t8 @t95 (tptp.c_List_Oremove1 @t8 @t284 @t5041)) (tptp.c_List_Oremove1 @t8 @t284 (tptp.c_List_Oremove1 @t8 @t95 @t5041))))) % 6.51/6.70 (assume @p3774 (forall @t5049 (=> @t5048 (tptp.hBOOL (tptp.hAPP @t5047 @t5046))))) % 6.51/6.70 (assume @p3775 (forall @t5051 (=> @t5048 (tptp.hBOOL (tptp.hAPP @t4933 @t5050))))) % 6.51/6.70 (assume @p3776 (forall (@list @t5044 @t74 @t5043 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4933 @t5043)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t3674) (tptp.hAPP (tptp.hAPP @t5052 @t5044) @t5043)))))) % 6.51/6.70 (assume @p3777 (forall @t5053 (=> @t5040 (= @t5032 @t4884)))) % 6.51/6.70 (assume @p3778 (forall (@list @t100 @t4884 @t73 @t8) (=> @t5040 (not (tptp.hBOOL (tptp.hAPP @t283 (tptp.hAPP @t4903 (tptp.c_List_Oremove1 @t8 @t100 @t4884)))))))) % 6.51/6.70 (assume @p3779 (forall (@list @t4884 @t8 @t58 @t13) (=> @t300 (= (tptp.hBOOL (tptp.hAPP @t298 (tptp.hAPP @t4903 (tptp.c_List_Oremove1 @t8 @t58 @t4884)))) @t5054)))) % 6.51/6.70 (assume @p3780 (forall @t4898 (= @t5056 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 @t3067) @t3813) @t4884)))) % 6.51/6.70 (assume @p3781 (forall @t5053 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t5033) @t4904)))) % 6.51/6.70 (assume @p3782 (forall (@list @t5057 @t74 @t8) (= (tptp.hAPP (tptp.hAPP @t5036 @t5060) @t5059) @t5057))) % 6.51/6.70 (assume @p3783 (forall (@list @t4883 @t1 @t3169 @t4884 @t2 @t8 @t210 @t74) (= (tptp.hAPP @t5064 (tptp.hAPP (tptp.hAPP @t5063 @t4884) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t3169 @t210) @t1) @t4883))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4551 @t8) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t74 @t3169 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5061 (tptp.tc_fun @t3169 @t8) @t74) (tptp.hAPP (tptp.c_COMBB @t3168 @t8 @t3169) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t5062 @t5061) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4248 (tptp.tc_fun @t5062 @t5061) @t74) (tptp.c_COMBB @t210 @t3168 @t3169)) @t3134)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t74 @t3169) @t4884) @t4883))))) % 6.51/6.70 (assume @p3784 (forall (@list @t4883 @t4884 @t1 @t3169 @t2 @t8 @t210 @t74) (= (tptp.hAPP @t5064 (tptp.hAPP (tptp.hAPP @t5063 (tptp.hAPP @t5065 @t4884)) @t4883)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5010 @t8) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3169 @t210 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4248 @t2414 @t3169) (tptp.hAPP (tptp.c_COMBB @t3168 @t8 @t210) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 @t4248 @t3169) @t3134) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t3169 @t210) @t4884) @t4883))))) % 6.51/6.70 (assume @p3785 (forall @t5070 (=> @t5069 (not (=> @t5039 (not @t5066)))))) % 6.51/6.70 (assume @p3786 (forall @t5070 (=> @t5069 @t5066))) % 6.51/6.70 (assume @p3787 (forall @t5070 (=> @t5069 @t5039))) % 6.51/6.70 (assume @p3788 (forall (@list @t4884 @t58 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t3832 (tptp.hAPP @t5071 @t5056))) (and @t5054 @t69)))) % 6.51/6.70 (assume @p3789 (forall (@list @t4883 @t2 @t210 @t4884 @t74 @t8) (= (tptp.hAPP @t5037 (tptp.hAPP @t4984 @t4883)) (tptp.hAPP @t5005 (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t8 @t210) @t4884) @t4883))))) % 6.51/6.70 (assume @p3790 (forall (@list @t4883 @t4884 @t2 @t210 @t74 @t8) (= (tptp.hAPP @t5073 @t4883) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4729 @t2930) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t210 @t74 @t2930) @t4463)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t210 @t74) @t4884) @t4883))))) % 6.51/6.70 (assume @p3791 (forall (@list @t4883 @t1 @t3169 @t4884 @t2 @t210 @t74 @t8) (= (tptp.hAPP @t5073 (tptp.hAPP @t5065 @t4883)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4525 @t2930) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t210 @t3169 @t2930) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t210 @t5075 @t5074) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2940 (tptp.tc_fun @t5075 @t5074) @t210) (tptp.c_COMBB @t74 @t2930 @t3169)) @t4463)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t210 @t3169) @t4884) @t4883))))) % 6.51/6.70 (assume @p3792 (forall @t406 (=> @t484 (=> @t184 (= @t5077 (tptp.c_List_Oremove1 @t8 @t73 @t5076)))))) % 6.51/6.70 (assume @p3793 (forall @t4997 (=> @t4535 (=> @t4042 (=> @t4996 (=> (forall @t7 (=> @t363 (= @t4 (tptp.hAPP @t4990 @t3)))) @t4995)))))) % 6.51/6.70 (assume @p3794 (forall @t406 (=> @t484 (=> @t184 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t104) (tptp.hAPP @t5079 @t5077)))))) % 6.51/6.70 (assume @p3795 (forall (@list @t261 @t100 @t73 @t5057 @t4884 @t74 @t4883 @t8) (=> @t5090 (=> @t5088 (=> (not (tptp.hBOOL (tptp.hAPP @t351 @t4906))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t408 @t5082) @t73) @t114) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t408 @t5081) @t73) @t5084)) @t5083)))))) % 6.51/6.70 (assume @p3796 (forall (@list @t281 @t2917 @t4883 @t4884 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5096 @t4820)) (and (= @t5092 @t281) @t5091)))) % 6.51/6.70 (assume @p3797 (forall @t150 (=> @t484 (tptp.c_Finite__Set_Ofun__left__comm @t8 @t4813 @t5078)))) % 6.51/6.70 (assume @p3798 (forall (@list @t4884 @t100 @t73 @t8) (=> @t484 (= (tptp.hAPP @t5079 (tptp.hAPP @t5098 @t4884)) (tptp.hAPP @t5098 @t5097))))) % 6.51/6.70 (assume @p3799 (forall (@list @t4884 @t74 @t100 @t73 @t2 @t8) (=> @t484 (=> @t4048 (= (tptp.hAPP @t5100 @t5102) (tptp.hAPP @t5101 (tptp.hAPP @t5100 @t4884))))))) % 6.51/6.70 (assume @p3800 (forall @t5106 (=> (not (= @t5105 @t5104)) (not @t5103)))) % 6.51/6.70 (assume @p3801 (forall @t5112 (=> @t5111 (= (tptp.hAPP @t5087 @t5110) @t5107)))) % 6.51/6.70 (assume @p3802 (forall @t4908 (= (tptp.hAPP @t5087 @t4893) @t5086))) % 6.51/6.70 (assume @p3803 (forall (@list @t4883 @t1 @t210 @t4884 @t2 @t8 @t74) (=> (= @t4893 (tptp.hAPP (tptp.hAPP @t4987 @t1) @t4883)) (= @t5086 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t4985) @t4883))))) % 6.51/6.70 (assume @p3804 (forall (@list @t5043 @t5044 @t74 @t8) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t5115) @t5046) (tptp.hAPP @t5114 @t5113)))) % 6.51/6.70 (assume @p3805 (forall @t5053 (=> @t484 (= (tptp.c_List_Oremove1 @t8 @t73 @t5097) @t4884)))) % 6.51/6.70 (assume @p3806 (forall @t5112 (=> @t5111 (= (tptp.hAPP @t4903 @t5110) @t5116)))) % 6.51/6.70 (assume @p3807 (forall @t4898 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t5117) @t5092)))) % 6.51/6.70 (assume @p3808 (forall @t4898 (=> @t5034 @t5118))) % 6.51/6.70 (assume @p3809 (forall @t4898 (=> @t5118 @t5034))) % 6.51/6.70 (assume @p3810 (forall (@list @t5057 @t4884 @t74 @t4883 @t8) (=> @t5090 (=> @t5088 (=> @t4938 (=> @t5083 @t5119)))))) % 6.51/6.70 (assume @p3811 (forall @t5122 (=> @t5121 (= (tptp.hAPP @t4932 @t5067) @t4884)))) % 6.51/6.70 (assume @p3812 (forall @t5122 (=> @t5121 (= (tptp.hAPP @t5058 @t5067) @t4883)))) % 6.51/6.70 (assume @p3813 (forall @t5112 (=> @t5111 (= (tptp.hBOOL (tptp.hAPP @t4933 @t5110)) @t5123)))) % 6.51/6.70 (assume @p3814 (forall @t5053 (=> @t5039 @t5124))) % 6.51/6.70 (assume @p3815 (forall (@list @t5057 @t4883 @t74 @t4884 @t8) (=> @t5121 (= (= @t5067 @t5057) (and (= @t5060 @t4884) (= @t5059 @t4883)))))) % 6.51/6.70 (assume @p3816 (forall @t3091 (= @t4812 (tptp.hAPP @t5144 (tptp.hAPP @t5143 (tptp.hAPP (tptp.hAPP @t5142 (tptp.hAPP @t5141 (tptp.hAPP (tptp.hAPP @t5138 (tptp.hAPP @t5135 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t5133 (tptp.hAPP @t5132 (tptp.hAPP (tptp.hAPP @t5128 @t472) @t5087))) @t5087)))) (tptp.hAPP (tptp.hAPP @t5142 (tptp.hAPP @t5141 (tptp.hAPP (tptp.hAPP @t5138 @t5136) @t5134))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4813 @t4819 @t4877) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5126 (tptp.tc_fun @t4819 @t4877) @t4813) (tptp.c_COMBC @t4813 @t4819 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5127 @t5126 @t4813) (tptp.hAPP (tptp.c_COMBB @t4818 @t5125 @t4813) @t5095)) @t5093))) @t4816)))))))) % 6.51/6.70 (assume @p3817 (forall @t3091 (= @t4812 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5145 @t4813) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t4813 tptp.c_Wellfounded_Oless__than @t4816)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4813 @t4813 @t5145) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t4813 @t5145) @t4813) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t4813)) @t5087)) (tptp.c_COMBI @t4813)))))) % 6.51/6.70 (assume @p3818 (forall @t5155 (=> @t184 (tptp.hBOOL (tptp.hAPP @t4910 (tptp.hAPP @t5154 (tptp.hAPP @t5153 @t5148))))))) % 6.51/6.70 (assume @p3819 (forall @t5158 (= @t4885 (and @t5157 (forall @t7 (=> @t5156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3830 tptp.c_fequal) @t3)))))))) % 6.51/6.70 (assume @p3820 (forall @t5161 (=> @t5121 (= (= @t5160 @t159) @t5040)))) % 6.51/6.70 (assume @p3821 (forall @t5161 (=> @t5121 (= @t5039 (exists @t45 (= @t5160 @t5162)))))) % 6.51/6.70 (assume @p3822 (forall @t5053 (and (=> @t5039 (= @t5163 (tptp.hAPP (tptp.hAPP @t468 @t5092) @t467))) (=> @t5040 (= @t5163 @t5092))))) % 6.51/6.70 (assume @p3823 (forall @t5122 (=> @t5121 (=> @t5034 (= (tptp.c_Map_Odom @t8 @t74 @t5159) @t4904))))) % 6.51/6.70 (assume @p3824 (forall @t5155 (=> @t184 (tptp.hBOOL (tptp.hAPP @t4910 (tptp.hAPP @t5154 (tptp.hAPP @t5153 (tptp.hAPP (tptp.hAPP @t5146 (tptp.hAPP (tptp.hAPP @t5128 @t753) @t5087)) @t281)))))))) % 6.51/6.70 (assume @p3825 (forall @t5166 (= @t5165 (and @t5157 (forall @t7 (=> @t5156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3830 @t4330) @t3)))))))) % 6.51/6.70 (assume @p3826 (forall @t5171 (= (tptp.hAPP @t5087 @t5170) (tptp.hAPP @t2343 (tptp.hAPP @t4584 @t5169))))) % 6.51/6.70 (assume @p3827 (forall @t5166 (=> @t5165 @t5157))) % 6.51/6.70 (assume @p3828 (forall @t3599 (=> @t3598 (tptp.hBOOL (tptp.hAPP @t5173 (tptp.c_List_Olistrel @t8 @t428)))))) % 6.51/6.70 (assume @p3829 (forall @t5171 (=> @t5034 (tptp.hBOOL (tptp.hAPP @t4933 @t5170))))) % 6.51/6.70 (assume @p3830 (forall @t5176 (=> @t5040 (not @t5175)))) % 6.51/6.70 (assume @p3831 (forall @t5176 (=> @t5175 @t5039))) % 6.51/6.70 (assume @p3832 (forall @t5171 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t5174) @t4904)))) % 6.51/6.70 (assume @p3833 (forall (@list @t1569 @t73 @t2917 @t8) (= (tptp.c_List_Olistrelp @t8 @t4330 @t73 @t1569) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5177 @t1569)) @t5164))))) % 6.51/6.70 (assume @p3834 (forall @t4821 (= (tptp.hAPP @t4817 @t282) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4819) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t5182 @t5182) @t4818 (tptp.c_Product__Type_Omap__pair @t5182 @t4813 @t5182 @t4813 @t5181 @t5181)) (tptp.c_Wellfounded_Olex__prod @t8 @t4813 @t2917 @t4820))) (tptp.hAPP @t5144 (tptp.hAPP @t5143 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4813 @t4877 @t4877) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1632 @t5140 @t4813) @t5179) (tptp.hAPP @t5136 @t5178))) @t5178))))))) % 6.51/6.70 (assume @p3835 (forall (@list @t95 @t5043 @t5044 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5185 @t5104)) (not (= @t5044 @t5184))))) % 6.51/6.70 (assume @p3836 (forall (@list @t5043 @t284 @t5044 @t95 @t74 @t8) (= (tptp.hAPP (tptp.hAPP @t5036 @t5188) (tptp.hAPP (tptp.hAPP @t5187 @t284) @t5043)) (tptp.hAPP (tptp.hAPP @t5186 @t3255) @t5046)))) % 6.51/6.70 (assume @p3837 (forall (@list @t4884 @t73 @t100 @t8) (=> (tptp.hBOOL (tptp.hAPP @t326 @t5191)) (or @t101 @t4916)))) % 6.51/6.70 (assume @p3838 (forall @t5053 (= @t5191 @t5116))) % 6.51/6.70 (assume @p3839 (forall @t5035 (tptp.hBOOL (tptp.hAPP @t5192 @t5191)))) % 6.51/6.70 (assume @p3840 (forall @t5193 (not (= @t5044 @t5188)))) % 6.51/6.70 (assume @p3841 (forall @t5194 (not (= @t5188 @t5044)))) % 6.51/6.70 (assume @p3842 (forall (@list @t5195 @t107 @t4986 @t13 @t8) (= (= @t5197 (tptp.hAPP (tptp.hAPP @t5180 @t107) @t5195)) (and @t108 (= @t4986 @t5195))))) % 6.51/6.70 (assume @p3843 (forall (@list @t346 @t179 @t178 @t176 @t2917 @t8) (= (tptp.c_List_Olistrelp @t8 @t2917 (tptp.hAPP @t5199 @t178) (tptp.hAPP @t5198 @t346)) (and (tptp.hBOOL (tptp.hAPP @t4778 @t179)) (tptp.c_List_Olistrelp @t8 @t2917 @t178 @t346))))) % 6.51/6.70 (assume @p3844 (forall (@list @t4883 @t4884 @t8 @t100 @t73 @t2917) (=> (tptp.hBOOL (tptp.hAPP @t4722 @t100)) (=> (tptp.c_List_Olistrelp @t8 @t2917 @t4884 @t4883) (tptp.c_List_Olistrelp @t8 @t2917 @t5190 @t5201))))) % 6.51/6.70 (assume @p3845 (forall @t5112 (= (tptp.hAPP @t4891 @t5203) (tptp.hAPP (tptp.hAPP @t5180 @t115) @t4893)))) % 6.51/6.70 (assume @p3846 (forall (@list @t13 @t4884 @t73 @t2 @t8 @t74) (= (tptp.c_List_Ofoldr @t74 @t8 @t2 @t5203 @t13) (tptp.hAPP @t115 @t5204)))) % 6.51/6.70 (assume @p3847 (forall @t5208 (and (=> @t489 (= @t5207 @t5044)) (=> @t495 (= @t5207 (tptp.hAPP @t5205 @t5050)))))) % 6.51/6.70 (assume @p3848 (forall (@list @t4883 @t74 @t100 @t73 @t2 @t8) (=> @t484 (and (=> @t5212 (= @t5211 (tptp.hAPP @t5202 @t5210))) (=> (not @t5212) (= @t5211 (tptp.hAPP @t5209 (tptp.hAPP @t5101 @t4883)))))))) % 6.51/6.70 (assume @p3849 (forall @t5053 (= (tptp.hBOOL (tptp.hAPP @t4933 @t5190)) @t5123))) % 6.51/6.70 (assume @p3850 (forall (@list @t5213 @t1079 @t210 @t74 @t561 @t556) (and (=> @t5215 (= @t5214 (tptp.hAPP @t4873 @t1079))) (=> (not @t5215) (= @t5214 (tptp.hAPP (tptp.hAPP @t4875 @t5213) @t561)))))) % 6.51/6.70 (assume @p3851 (forall (@list @t5216 @t348 @t8) (= (tptp.hAPP @t5087 (tptp.hAPP @t5217 @t5216)) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t5087 @t5216)) @t1239)))) % 6.51/6.70 (assume @p3852 (forall @t5220 (=> @t3842 (=> @t5165 (tptp.hBOOL (tptp.hAPP @t5219 @t5164)))))) % 6.51/6.70 (assume @p3853 (forall (@list @t4865 @t3161 @t74 @t8) (= (tptp.hAPP @t4860 (tptp.hAPP (tptp.hAPP @t5186 @t3161) @t4865)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 @t4872) @t3260) (tptp.hAPP @t127 @t3261))))) % 6.51/6.70 (assume @p3854 (forall @t5221 (= (tptp.hBOOL (tptp.hAPP @t5219 @t4816)) (or (and @t3842 @t5157) (and @t328 (tptp.hBOOL (tptp.hAPP @t5096 @t4816))))))) % 6.51/6.70 (assume @p3855 (forall (@list @t4884 @t73 @t2917 @t8) (= (tptp.hAPP @t5224 (tptp.hAPP (tptp.hAPP @t5223 @t5190) @t5222)) (tptp.c_List_Oset__Cons @t8 @t3831 (tptp.hAPP @t5224 (tptp.hAPP (tptp.hAPP @t5223 @t4884) @t5222)))))) % 6.51/6.70 (assume @p3856 (forall (@list @t3444 @t51 @t8) (= (tptp.c_List_Oset__Cons @t8 @t51 @t3444) (tptp.hAPP @t5154 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t4813) @t4669) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5229 @t55 @t4813) (tptp.hAPP (tptp.c_COMBB @t4877 tptp.tc_HOL_Obool @t8) (tptp.c_HOL_OEx @t4813))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4813 @t5229 @t5229) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5232 (tptp.tc_fun @t5229 @t5229) @t4813) (tptp.c_COMBS @t8 @t4877 @t4877)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5231 @t5232 @t4813) (tptp.hAPP (tptp.c_COMBB @t5137 @t5140 @t8) @t5139)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5229 @t5231 @t4813) (tptp.hAPP (tptp.c_COMBB @t4877 @t5137 @t8) @t5136)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4813 @t5230 @t5229) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5228 (tptp.tc_fun @t5230 @t5229) @t4813) (tptp.c_COMBB @t5227 @t4877 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4877 @t5228 @t4813) (tptp.c_COMBB @t4813 tptp.tc_HOL_Obool @t4813)) tptp.c_fequal))) @t5180))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4877 @t4877) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1632 @t5140 @t8) @t5179) @t4427)) (tptp.hAPP @t5226 @t3444))))))))) % 6.51/6.70 (assume @p3857 (forall (@list @t2917 @t4883 @t100 @t4884 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5094 @t5201)) @t5164)) (not (forall (@list @t3 @t5233) (=> (= @t4884 @t5235) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t3086 @t100)) @t2917)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP (tptp.hAPP @t5093 @t5233) @t4883)) @t5164)))))))))) % 6.51/6.70 (assume @p3858 (forall (@list @t2917 @t4884 @t4883 @t100 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP (tptp.hAPP @t5093 @t5201) @t4884)) @t5164)) (not (forall (@list @t43 @t5236) (=> (= @t4884 (tptp.hAPP @t5238 @t5236)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t3998 @t43)) @t2917)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5237 @t5236)) @t5164)))))))))) % 6.51/6.70 (assume @p3859 (forall @t5241 (=> @t484 (=> (not @t5240) (= @t5239 @t5102))))) % 6.51/6.70 (assume @p3860 (forall (@list @t2917 @t100 @t58 @t73 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP (tptp.hAPP @t5093 @t5246) @t5245)) @t5242)) (or @t3835 (and @t69 @t5244))))) % 6.51/6.70 (assume @p3861 (forall (@list @t73 @t2 @t4884 @t8 @t74) (=> @t5111 (=> @t5034 (tptp.hBOOL (tptp.hAPP @t4933 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t8 @t74 @t2 @t73 @t4884))))))) % 6.51/6.70 (assume @p3862 (forall @t5053 (=> @t484 (=> @t5039 (= @t5247 @t4884))))) % 6.51/6.70 (assume @p3863 (forall @t5053 (=> @t484 (= (tptp.hAPP @t4903 @t5247) @t5116)))) % 6.51/6.70 (assume @p3864 (forall @t5241 (=> @t484 (=> @t5240 (= @t5239 @t4884))))) % 6.51/6.70 (assume @p3865 (forall @t5251 (= (tptp.hBOOL (tptp.hAPP @t5243 @t4816)) (and @t5244 @t5250)))) % 6.51/6.70 (assume @p3866 (forall @t5053 (=> @t484 (=> @t5040 (= @t5247 @t5097))))) % 6.51/6.70 (assume @p3867 (forall @t4924 (= @t5068 (tptp.hAPP @t4609 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1900 tptp.tc_HOL_Obool @t2930) @t5259) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2930 @t1900 @t1900) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5258 @t3303 @t2930) @t4583) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1900 @t5258 @t2930) @t4582) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2930 @t5257 @t1900) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2931 (tptp.tc_fun @t5257 @t1900) @t2930) (tptp.c_COMBB @t2930 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t74 @t2930) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t2940 tptp.tc_Nat_Onat) @t2933) @t5256)) @t5254))))) (tptp.hAPP @t4579 @t5252))))))) % 6.51/6.70 (assume @p3868 (forall (@list @t4986 @t13 @t1299 @t8) (= (tptp.c_List_Olist_Olist__size @t8 @t1299 @t5197) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t1304 (tptp.c_List_Olist_Olist__size @t8 @t1299 @t4986))) @t1239)))) % 6.51/6.70 (assume @p3869 (forall @t5194 (= (tptp.hAPP @t5260 @t1074) @t95))) % 6.51/6.70 (assume @p3870 (forall (@list @t336 @t5044 @t95 @t8) (= (tptp.hAPP @t5260 @t337) @t5262))) % 6.51/6.70 (assume @p3871 (forall @t5158 (= @t4885 (and @t5157 (forall @t1336 (=> @t5265 (= @t5264 (tptp.hAPP @t5263 @t1332)))))))) % 6.51/6.70 (assume @p3872 (forall (@list @t5043 @t74 @t5044 @t8 @t592) (=> @t5267 (=> (tptp.hBOOL (tptp.hAPP @t603 @t5113)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t2930) @t5046) @t592) (tptp.hAPP (tptp.hAPP @t2933 @t5266) (tptp.hAPP (tptp.hAPP @t5253 @t5043) @t592))))))) % 6.51/6.70 (assume @p3873 (forall (@list @t4884 @t1 @t74 @t2 @t8) (= (tptp.c_List_Olist_Olist__size @t8 @t2 @t4909) (tptp.c_List_Olist_Olist__size @t74 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_Nat_Onat @t74 @t2) @t1) @t4884)))) % 6.51/6.70 (assume @p3874 (forall (@list @t281 @t4884 @t73 @t8) (= (tptp.hAPP (tptp.hAPP @t5255 @t5190) @t281) (tptp.c_Nat_Onat_Onat__case @t8 @t73 @t5256 @t281)))) % 6.51/6.70 (assume @p3875 (forall @t5274 (= @t5273 @t5271))) % 6.51/6.70 (assume @p3876 (forall (@list @t2 @t74 @t4884 @t8 @t281) (=> @t5276 (= (tptp.hAPP (tptp.hAPP @t5253 @t4887) @t281) (tptp.hAPP @t2 @t5275))))) % 6.51/6.70 (assume @p3877 (forall @t4898 (= @t5034 (forall @t1336 (=> @t5265 (forall @t1238 (=> @t5278 (=> (not (= @t1332 @t1236)) (not (= @t5264 @t5277)))))))))) % 6.51/6.70 (assume @p3878 (forall @t5283 (=> @t5034 (=> @t5282 (=> (tptp.hBOOL (tptp.hAPP @t5281 @t5092)) (= (= @t5280 @t5279) (= @t638 @t637))))))) % 6.51/6.70 (assume @p3879 (forall @t5053 (= @t5039 (exists @t1336 (and @t5265 (= @t5264 @t73)))))) % 6.51/6.70 (assume @p3880 (forall (@list @t4884 @t8 @t281) (=> @t5276 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t5275) @t4904))))) % 6.51/6.70 (assume @p3881 (forall @t5285 (and (=> @t1145 (= @t5284 @t95)) (=> @t1146 (= @t5284 (tptp.hAPP @t5261 @t1297)))))) % 6.51/6.70 (assume @p3882 (forall @t4898 (= @t4904 (tptp.hAPP @t4594 (tptp.hAPP @t5289 (tptp.hAPP @t5288 @t5167)))))) % 6.51/6.70 (assume @p3883 (forall @t5292 (and (=> @t1842 (= @t5290 @t95)) (=> @t5291 (= @t5290 (tptp.hAPP @t5261 @t1356)))))) % 6.51/6.70 (assume @p3884 (forall @t5295 (=> @t5039 (=> (tptp.hBOOL (tptp.hAPP @t5294 @t115)) (tptp.hBOOL (tptp.hAPP @t5294 @t5293)))))) % 6.51/6.70 (assume @p3885 (forall @t5295 (=> @t5039 (=> (tptp.hBOOL (tptp.hAPP @t2291 @t115)) (tptp.hBOOL (tptp.hAPP @t2291 @t5293)))))) % 6.51/6.70 (assume @p3886 (forall @t5171 (= @t5174 (tptp.hAPP @t4594 (tptp.hAPP @t5289 (tptp.hAPP @t5288 @t5169)))))) % 6.51/6.70 (assume @p3887 (forall @t5166 (= @t5165 (and @t5157 (forall @t430 (=> @t5299 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t5297 (tptp.hAPP @t5263 @t427))) @t2917)))))))) % 6.51/6.70 (assume @p3888 (forall @t5251 (= @t5244 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t5249) @t5248)) (= (tptp.hAPP (tptp.hAPP @t5300 @t5249) @t100) @t73)) (exists @t1336 (and (tptp.hBOOL (tptp.hAPP @t4414 (tptp.hAPP (tptp.hAPP @t1984 @t5249) @t5248))) (= (tptp.hAPP @t5301 @t73) (tptp.hAPP @t5301 @t100)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3085 (tptp.hAPP (tptp.hAPP @t5255 @t73) @t1332)) (tptp.hAPP (tptp.hAPP @t5255 @t100) @t1332))) @t2917)))))))) % 6.51/6.70 (assume @p3889 (forall (@list @t638 @t13 @t4884 @t8) (=> @t5034 (=> (not (tptp.hBOOL (tptp.hAPP @t298 (tptp.hAPP @t5030 (tptp.hAPP (tptp.hAPP @t52 @t5280) @t56))))) (tptp.hBOOL (tptp.hAPP @t4933 (tptp.hAPP @t5303 @t13))))))) % 6.51/6.70 (assume @p3890 (forall @t5306 (= (tptp.hAPP @t5305 @t5266) @t5044))) % 6.51/6.70 (assume @p3891 (forall (@list @t95 @t5044 @t8 @t562 @t592) @t5312)) % 6.51/6.70 (assume @p3892 (forall (@list @t5044 @t8 @t336 @t592) (=> (tptp.hBOOL (tptp.hAPP @t603 @t336)) (= (tptp.hAPP (tptp.hAPP @t5255 @t5314) @t592) @t5266)))) % 6.51/6.70 (assume @p3893 (forall @t5316 (=> @t5315 (= @t5314 @t5044)))) % 6.51/6.70 (assume @p3894 (forall @t5317 (=> (tptp.hBOOL (tptp.hAPP @t5185 @t592)) (= @t5308 @t5044)))) % 6.51/6.70 (assume @p3895 (forall @t5321 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t5320) @t4904)))) % 6.51/6.70 (assume @p3896 (forall (@list @t5322 @t592 @t5043 @t5044 @t74 @t8) (= (tptp.hAPP @t5324 @t5322) (tptp.hAPP (tptp.hAPP @t5036 (tptp.hAPP @t5305 (tptp.hAPP @t3250 @t5322))) (tptp.hAPP @t5323 (tptp.hAPP @t3249 @t5322)))))) % 6.51/6.70 (assume @p3897 (forall @t5326 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t2930) @t336) @t5046) (tptp.hAPP (tptp.hAPP @t5036 @t5314) (tptp.hAPP (tptp.hAPP @t5325 @t336) @t5043))))) % 6.51/6.70 (assume @p3898 (forall @t5328 (= (tptp.hAPP @t5318 @t4893) (tptp.hAPP @t4891 (tptp.hAPP @t5327 @t4884))))) % 6.51/6.70 (assume @p3899 (forall (@list @t100 @t205 @t4884 @t2 @t8 @t74) (= (tptp.hAPP @t4891 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t74 @t4884) @t205) @t100)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t4893) @t205) @t1676)))) % 6.51/6.70 (assume @p3900 (forall (@list @t5329 @t95 @t5044 @t8 @t5330 @t592) (=> (not (= @t592 @t5330)) (= (tptp.hAPP (tptp.hAPP @t5331 @t5330) @t5329) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 (tptp.hAPP (tptp.hAPP @t5304 @t5330) @t5329)) @t592) @t95))))) % 6.51/6.70 (assume @p3901 (forall (@list @t284 @t95 @t592 @t5044 @t8) (= (tptp.hAPP (tptp.hAPP @t5331 @t592) @t284) @t5332))) % 6.51/6.70 (assume @p3902 (forall @t5334 (= (tptp.hAPP @t5313 @t5333) (tptp.hAPP (tptp.hAPP @t5300 (tptp.hAPP @t2021 @t521)) @t5044)))) % 6.51/6.70 (assume @p3903 (forall @t5306 (=> @t5048 (tptp.hBOOL (tptp.hAPP @t4933 @t5335))))) % 6.51/6.70 (assume @p3904 (forall (@list @t284 @t5043 @t95 @t592 @t5044 @t74 @t8) (= (tptp.hAPP (tptp.hAPP @t5036 @t5308) (tptp.hAPP @t5323 @t284)) (tptp.hAPP @t5324 @t3255)))) % 6.51/6.70 (assume @p3905 (forall @t5336 (= (tptp.hAPP @t5087 @t5314) (tptp.hAPP @t5114 @t336)))) % 6.51/6.70 (assume @p3906 (forall @t5317 (= (tptp.hAPP @t5087 @t5308) @t5105))) % 6.51/6.70 (assume @p3907 (forall (@list @t281 @t1468 @t8) (= (tptp.c_List_Osublist @t8 @t1468 @t3677) (tptp.hAPP @t5318 @t1468)))) % 6.51/6.70 (assume @p3908 (forall @t5337 (=> (tptp.hBOOL (tptp.hAPP @t283 @t5320)) @t5039))) % 6.51/6.70 (assume @p3909 (forall @t5339 (= (tptp.hAPP @t5338 @t5188) (tptp.hAPP @t5183 @t5314)))) % 6.51/6.70 (assume @p3910 (forall (@list @t284 @t592 @t5044 @t95 @t8) (= (tptp.hAPP (tptp.hAPP @t5340 @t674) @t284) (tptp.hAPP @t5183 @t5332)))) % 6.51/6.70 (assume @p3911 (forall (@list @t240 @t638 @t4884 @t73 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5190) @t638) @t240) (tptp.c_Nat_Onat_Onat__case @t4813 (tptp.hAPP (tptp.hAPP @t5180 @t240) @t4884) (tptp.hAPP @t5341 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t8 @t4813) @t5302) @t240)) @t638)))) % 6.51/6.70 (assume @p3912 (forall (@list @t284 @t5044 @t95 @t8) (= (tptp.hAPP (tptp.hAPP @t5340 @t1074) @t284) @t5206))) % 6.51/6.70 (assume @p3913 (forall (@list @t4884 @t8 @t281 @t378) (=> @t877 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP @t4903 (tptp.hAPP (tptp.hAPP @t5300 @t378) @t4884))) @t5320))))) % 6.51/6.70 (assume @p3914 (forall (@list @t638 @t73 @t51 @t4884 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5192 @t51)) (=> @t323 (tptp.hBOOL (tptp.hAPP @t5343 @t51)))))) % 6.51/6.70 (assume @p3915 (forall (@list @t73 @t638 @t4884 @t8) (tptp.hBOOL (tptp.hAPP @t5343 @t5116)))) % 6.51/6.70 (assume @p3916 (forall (@list @t95 @t5044 @t8 @t592) (=> @t5267 (= (tptp.hAPP @t5309 @t592) @t95)))) % 6.51/6.70 (assume @p3917 (forall (@list @t73 @t4884 @t8 @t638) (=> @t5282 (= (= @t5342 @t4884) (= @t5280 @t73))))) % 6.51/6.70 (assume @p3918 (forall (@list @t95 @t562 @t5044 @t8 @t592) (=> @t5267 (and (=> @t5311 (= @t5310 @t95)) @t5312)))) % 6.51/6.70 (assume @p3919 (forall (@list @t73 @t4884 @t8 @t281) (=> @t5276 (tptp.hBOOL (tptp.hAPP @t283 (tptp.hAPP @t4903 (tptp.hAPP (tptp.hAPP @t5302 @t281) @t73))))))) % 6.51/6.70 (assume @p3920 (forall (@list @t100 @t2 @t4884 @t4883 @t74 @t73 @t8) (and (=> @t5347 (= @t5345 @t5344)) (=> (not @t5347) (= @t5345 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 @t5344) @t73) @t417)))))) % 6.51/6.70 (assume @p3921 (forall @t4577 (=> @t4506 (tptp.hBOOL (tptp.hAPP @t5173 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t4813 @t4813) @t5348) (tptp.hAPP (tptp.c_COMBK @t4877 @t4813) @t5348))))))) % 6.51/6.70 (assume @p3922 (forall (@list @t4883 @t4884 @t206 @t203 @t74 @t8) (= (tptp.c_Map_Omap__add @t8 @t74 @t203 (tptp.c_Map_Omap__upds @t8 @t74 @t206 @t4884 @t4883)) (tptp.c_Map_Omap__upds @t8 @t74 @t814 @t4884 @t4883)))) % 6.51/6.70 (assume @p3923 (forall @t316 (=> @t746 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5350 @t5348) @t5349))))) % 6.51/6.70 (assume @p3924 (forall (@list @t4883 @t2 @t74 @t4884 @t73 @t8) (=> @t5040 (= (tptp.hAPP @t5344 @t73) @t115)))) % 6.51/6.70 (assume @p3925 (forall @t150 (= (tptp.c_List_Olists @t8 @t4202) @t4878))) % 6.51/6.70 (assume @p3926 (forall @t3820 (=> @t3839 (tptp.c_Equiv__Relations_Oequiv @t4813 @t5348 @t5164)))) % 6.51/6.70 (assume @p3927 (forall @t3820 (=> @t4569 (tptp.c_Relation_Orefl__on @t4813 @t5348 @t5164)))) % 6.51/6.70 (assume @p3928 (forall (@list @t5351 @t58 @t5352 @t13 @t378 @t74 @t8) (= (tptp.c_Map_Omap__upds @t8 @t74 @t378 (tptp.hAPP @t5196 @t5352) (tptp.hAPP (tptp.hAPP @t5187 @t58) @t5351)) @t5354))) % 6.51/6.70 (assume @p3929 (forall (@list @t51 @t4884 @t73 @t8) (= (tptp.hBOOL (tptp.hAPP @t5357 @t5348)) (and @t323 @t5356)))) % 6.51/6.70 (assume @p3930 (forall @t5358 (= @t5356 (forall @t7 (=> @t5272 @t363))))) % 6.51/6.70 (assume @p3931 (forall (@list @t100 @t378 @t4883 @t74 @t638 @t4884 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5362 @t638)) (=> @t5361 (= (tptp.c_Map_Omap__upds @t8 @t74 @t378 @t4884 @t5360) @t5359))))) % 6.51/6.70 (assume @p3932 (forall (@list @t5351 @t58 @t378 @t74 @t5352 @t13 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t298 @t5363))) (= @t5354 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 (tptp.c_Map_Omap__upds @t8 @t74 @t378 @t5352 @t5351)) @t13) @t5353))))) % 6.51/6.70 (assume @p3933 (forall @t243 (= @t5348 (tptp.hAPP @t5154 @t5152)))) % 6.51/6.70 (assume @p3934 (forall (@list @t378 @t454 @t4883 @t74 @t4884 @t8) (=> @t5121 (=> (tptp.hBOOL (tptp.hAPP @t5192 @t454)) (= (tptp.c_Map_Orestrict__map @t8 @t74 @t5359 @t454) (tptp.c_Map_Omap__upds @t8 @t74 (tptp.c_Map_Orestrict__map @t8 @t74 @t378 (tptp.hAPP @t460 @t4904)) @t4884 @t4883)))))) % 6.51/6.70 (assume @p3935 (forall @t5364 (= (tptp.c_Map_Odom @t8 @t74 @t5359) (tptp.hAPP (tptp.hAPP @t1662 @t5346) @t380)))) % 6.51/6.70 (assume @p3936 (forall @t4789 (=> (tptp.hBOOL (tptp.hAPP @t3597 @t3672)) (=> (tptp.c_Relation_Orefl__on @t8 @t4202 @t3672) (tptp.hBOOL (tptp.hAPP @t5366 (tptp.c_List_Olistrel @t8 @t3672))))))) % 6.51/6.70 (assume @p3937 (forall (@list @t100 @t2917 @t8) (=> @t3572 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5367 @t100)) @t5242)))))) % 6.51/6.70 (assume @p3938 (forall (@list @t4884 @t2917 @t73 @t8) (=> @t4329 (=> @t5369 (tptp.hBOOL (tptp.hAPP @t5357 @t5368)))))) % 6.51/6.70 (assume @p3939 (forall @t3599 (=> @t3598 (tptp.hBOOL (tptp.hAPP @t5366 (tptp.c_List_Olistrel1 @t8 @t428)))))) % 6.51/6.70 (assume @p3940 (forall @t5372 (=> @t5371 (tptp.hBOOL (tptp.hAPP @t5370 @t5365))))) % 6.51/6.70 (assume @p3941 (forall @t5166 (=> @t5371 @t5157))) % 6.51/6.70 (assume @p3942 (forall @t5374 (=> @t5369 @t5373))) % 6.51/6.70 (assume @p3943 (forall @t5374 (=> @t5373 @t5369))) % 6.51/6.70 (assume @p3944 (forall (@list @t4884 @t2917 @t100 @t73 @t8) (=> @t3842 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5218 (tptp.hAPP @t5200 @t4884))) @t5365))))) % 6.51/6.70 (assume @p3945 (forall @t5221 (= (tptp.hBOOL (tptp.hAPP @t5219 @t5365)) (or (and @t3842 @t4885) (and @t328 @t5371))))) % 6.51/6.70 (assume @p3946 (forall @t5166 (= @t5371 (exists (@list @t43 @t427) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t5297 @t43)) @t2917)) @t5299 (= @t4883 (tptp.hAPP (tptp.hAPP @t5302 @t427) @t43))))))) % 6.51/6.70 (assume @p3947 (forall @t5376 (=> (forall @t3156 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t5375 @t1302)) @t2917)) (= @t268 @t1302) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3085 @t1302) @t268)) @t2917)))) (or @t5244 @t328 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5367 @t73)) @t5242)))))) % 6.51/6.70 (assume @p3948 (forall @t4898 (=> @t1121 (= @t5378 (tptp.hAPP (tptp.hAPP @t3713 @t5256) (tptp.hAPP @t3621 @t5092)))))) % 6.51/6.70 (assume @p3949 (forall (@list @t1 @t2 @t4884 @t8) (=> (forall @t7 (=> @t5272 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t5293) (tptp.c_List_Olist_Olist__size @t8 @t1 @t4884)))))) % 6.51/6.70 (assume @p3950 (forall (@list @t5379) (= (= (tptp.hAPP @t5383 @t5379) @t1074) @t5382))) % 6.51/6.70 (assume @p3951 (forall @t5194 (=> @t1120 (= (tptp.hAPP @t5377 @t5188) (tptp.hAPP @t1027 @t5384))))) % 6.51/6.70 (assume @p3952 (forall (@list @t5385 @t561) (=> @t5391 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t5388) @t5386))))) % 6.51/6.70 (assume @p3953 (forall @t4936 (=> @t1120 (= (tptp.hAPP @t5377 (tptp.hAPP (tptp.hAPP @t4890 @t3722) @t4884)) @t1082)))) % 6.51/6.70 (assume @p3954 (forall @t5394 (=> @t1121 (= (tptp.hAPP @t5377 (tptp.hAPP (tptp.hAPP @t4890 @t3739) @t4884)) (tptp.hAPP (tptp.hAPP @t676 @t5393) @t5392))))) % 6.51/6.70 (assume @p3955 (forall (@list @t4884 @t18 @t2 @t74 @t8) (=> @t2819 (= (tptp.hAPP @t5377 (tptp.hAPP (tptp.hAPP @t4890 (tptp.hAPP @t3736 @t18)) @t4884)) (tptp.hAPP (tptp.hAPP @t754 @t5393) @t18))))) % 6.51/6.70 (assume @p3956 (forall (@list @t4884 @t2 @t18 @t74 @t8) (=> @t2819 (= (tptp.hAPP @t5377 (tptp.hAPP (tptp.hAPP @t4890 (tptp.hAPP (tptp.hAPP @t3738 @t1217) @t2)) @t4884)) (tptp.hAPP @t1217 @t5393))))) % 6.51/6.70 (assume @p3957 (forall @t5394 (=> @t737 (= (tptp.hAPP @t5377 (tptp.hAPP (tptp.hAPP @t4890 @t3721) @t4884)) (tptp.hAPP (tptp.hAPP @t392 @t5393) @t5392))))) % 6.51/6.70 (assume @p3958 (forall (@list @t336 @t5385 @t561) (=> @t5391 (= (tptp.hAPP @t5383 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t5385) @t561) @t336)) (tptp.hAPP (tptp.hAPP @t468 (tptp.hAPP (tptp.hAPP @t553 @t5386) @t336)) @t5388))))) % 6.51/6.70 (assume @p3959 (forall @t4898 (=> @t4138 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP @t4135 @t5378)) (tptp.hAPP @t5377 (tptp.hAPP (tptp.hAPP @t4896 @t4135) @t4884))))))) % 6.51/6.70 (assume @p3960 (forall @t4908 (=> @t737 (= (tptp.hAPP @t784 @t5393) (tptp.hAPP @t5377 (tptp.hAPP (tptp.hAPP @t4890 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t74 @t784) @t2)) @t4884)))))) % 6.51/6.70 (assume @p3961 (forall @t5395 (= @t5293 (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t5383 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 tptp.tc_Nat_Onat) @t2) @t4884))) @t5092)))) % 6.51/6.70 (assume @p3962 (forall @t4898 (=> @t1121 (=> @t5034 (= @t5378 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t8) @t1505) @t4904)))))) % 6.51/6.70 (assume @p3963 (forall (@list @t2 @t4884 @t8 @t74) (=> @t3744 (=> @t5034 (= @t5397 (tptp.hAPP @t3745 @t4904)))))) % 6.51/6.70 (assume @p3964 (forall (@list @t1468 @t205 @t2 @t8) (=> @t1121 (= (tptp.hAPP @t5377 (tptp.hAPP @t5399 @t5398)) (tptp.hAPP @t3811 (tptp.hAPP @t4946 @t5398)))))) % 6.51/6.70 (assume @p3965 (forall (@list @t637 @t638 @t2 @t8) (=> @t1121 (= (tptp.hAPP @t3811 @t4948) (tptp.hAPP @t5377 (tptp.hAPP @t5399 @t4947)))))) % 6.51/6.70 (assume @p3966 (forall (@list @t4884 @t2917 @t74 @t8) (=> @t1903 (= (tptp.hAPP @t5377 (tptp.hAPP (tptp.hAPP @t4890 (tptp.hAPP @t2973 @t2917)) @t4884)) (tptp.hAPP (tptp.hAPP @t754 (tptp.hAPP @t2177 @t5086)) @t2917))))) % 6.51/6.70 (assume @p3967 (forall (@list @t2 @t4884 @t73 @t8 @t74) (=> @t3744 (=> @t5039 (= @t5397 (tptp.hAPP (tptp.hAPP @t1433 @t115) (tptp.hAPP @t5396 (tptp.hAPP @t4880 @t5032)))))))) % 6.51/6.70 (assume @p3968 (forall @t2172 (=> @t3744 (and (=> @t184 (= @t5400 (tptp.hAPP @t5396 (tptp.hAPP @t4880 @t5401)))) (=> @t1248 (= @t5400 @t2978)))))) % 6.51/6.70 (assume @p3969 (forall (@list @t1 @t2 @t4884 @t8 @t74) (=> (and @t5402 @t3808) (=> (forall @t7 (=> @t5272 @t844)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t818 @t5397) (tptp.hAPP @t5396 (tptp.hAPP (tptp.hAPP @t4879 @t1) @t4884)))))))) % 6.51/6.70 (assume @p3970 (forall @t89 (= (tptp.c_Hilbert__Choice_OEps @t8 @t4419) @t73))) % 6.51/6.70 (assume @p3971 (forall @t89 (= (tptp.c_Hilbert__Choice_OEps @t8 @t5403) @t73))) % 6.51/6.70 (assume @p3972 (forall @t5406 (= @t5405 @t1921))) % 6.51/6.70 (assume @p3973 (forall @t5406 (=> @t1921 @t5405))) % 6.51/6.70 (assume @p3974 (forall (@list @t8 @t5407) (=> (exists @t7 (tptp.hBOOL (tptp.hAPP @t5407 @t3))) (tptp.hBOOL (tptp.hAPP @t5407 (tptp.c_Hilbert__Choice_OEps @t8 @t5407)))))) % 6.51/6.70 (assume @p3975 (forall (@list @t8 @t73 @t117) (=> @t133 @t5405))) % 6.51/6.70 (assume @p3976 (forall (@list @t8 @t18 @t117) (=> @t1921 (=> (= @t18 @t5404) (tptp.hBOOL (tptp.hAPP @t117 @t18)))))) % 6.51/6.70 (assume @p3977 (forall @t243 (and (=> @t184 (= @t5408 (tptp.hAPP @t5087 @t5401))) (=> @t1248 (= @t5408 @t1074))))) % 6.51/6.70 (assume @p3978 (forall @t5412 (=> @t822 (= (tptp.c_Hilbert__Choice_OLeastM @t8 @t74 @t378 @t117) (tptp.c_Hilbert__Choice_OEps @t8 (tptp.hAPP @t4600 (tptp.hAPP @t4832 (tptp.hAPP @t5411 (tptp.hAPP (tptp.hAPP @t4830 (tptp.hAPP @t4829 @t5410)) @t378))))))))) % 6.51/6.70 (assume @p3979 (forall @t5418 (=> @t5417 (and @t5415 (forall @t45 (=> @t4685 (tptp.hBOOL (tptp.hAPP @t5414 (tptp.hAPP @t378 @t43))))))))) % 6.51/6.70 (assume @p3980 (forall (@list @t8 @t378 @t73 @t117) (=> @t133 (tptp.hBOOL (tptp.hAPP @t5414 @t423))))) % 6.51/6.70 (assume @p3981 (forall @t4418 (= (tptp.c_Hilbert__Choice_OEps @t2930 @t117) (tptp.c_Hilbert__Choice_OEps @t2930 @t4417)))) % 6.51/6.70 (assume @p3982 (forall @t2952 (= (tptp.c_Hilbert__Choice_OEps @t2930 @t4422) @t2935))) % 6.51/6.70 (assume @p3983 (forall @t4418 (= (tptp.c_Hilbert__Choice_OEps @t2930 @t4431) (tptp.c_Hilbert__Choice_OEps @t2930 @t4430)))) % 6.51/6.70 (assume @p3984 (forall @t5412 (=> @t822 (= (tptp.hAPP (tptp.c_Hilbert__Choice_OGreatestM @t8 @t74 @t378) @t117) (tptp.c_Hilbert__Choice_OEps @t8 (tptp.hAPP @t4600 (tptp.hAPP @t4832 (tptp.hAPP @t5411 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 @t55 @t8) (tptp.hAPP @t4425 @t5410)) @t378))))))))) % 6.51/6.70 (assume @p3985 (forall @t5421 (=> (tptp.hBOOL (tptp.hAPP @t864 @t5105)) (= (tptp.c_List_Obutlast @t8 @t5314) @t5420)))) % 6.51/6.70 (assume @p3986 (forall @t5418 (=> @t5417 @t5415))) % 6.51/6.70 (assume @p3987 (forall @t5422 (= (tptp.hAPP @t4891 (tptp.c_List_Obutlast @t74 @t4884)) (tptp.c_List_Obutlast @t8 @t4893)))) % 6.51/6.70 (assume @p3988 (forall @t5053 (=> @t5424 @t5039))) % 6.51/6.70 (assume @p3989 (forall @t5421 (=> @t5426 (= (tptp.hAPP @t5313 @t5425) @t5314)))) % 6.51/6.70 (assume @p3990 (forall @t5429 (= (tptp.hAPP @t5087 @t5425) @t5428))) % 6.51/6.70 (assume @p3991 (forall @t5429 (= @t5425 (tptp.hAPP (tptp.hAPP @t5300 @t5428) @t5044)))) % 6.51/6.70 (assume @p3992 (forall (@list @t95 @t5044 @t8 @t561) (and (=> @t5433 (= @t5432 @t5425)) (=> @t5434 (= @t5432 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5425) @t561) @t95)))))) % 6.51/6.70 (assume @p3993 (forall @t150 (=> @t507 (= (tptp.c_Hilbert__Choice_OGreatest @t8) (tptp.c_Hilbert__Choice_OGreatestM @t8 @t8 @t1505))))) % 6.51/6.70 (assume @p3994 (forall (@list @t5043 @t5044 @t8 @t561) (=> (tptp.hBOOL (tptp.hAPP @t860 @t5105)) (=> (tptp.hBOOL (tptp.hAPP @t860 @t5104)) (=> (forall @t1336 (=> (tptp.hBOOL (tptp.hAPP @t4414 @t561)) (= @t5437 (tptp.hAPP @t5436 @t1332)))) (= (tptp.hAPP @t5435 @t5044) (tptp.hAPP @t5435 @t5043))))))) % 6.51/6.70 (assume @p3995 (forall @t5292 (and (=> @t1842 (= @t5438 @t5439)) (=> @t5291 (= @t5438 (tptp.hAPP @t5183 (tptp.hAPP (tptp.hAPP @t5300 @t1356) @t5044))))))) % 6.51/6.70 (assume @p3996 (forall @t5446 (=> @t5445 (= (tptp.hAPP (tptp.hAPP @t1662 @t5443) @t5441) @t4904)))) % 6.51/6.70 (assume @p3997 (forall @t243 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5225 @t5439) @t5348)))) % 6.51/6.70 (assume @p3998 (forall @t5374 (=> (tptp.hBOOL (tptp.hAPP @t5448 @t5164)) @t5447))) % 6.51/6.70 (assume @p3999 (forall @t5374 (=> (tptp.hBOOL (tptp.hAPP @t5450 @t5164)) @t5447))) % 6.51/6.70 (assume @p4000 (forall @t150 (=> @t484 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t56) @t5439)))) % 6.51/6.70 (assume @p4001 (forall @t5453 (not (= @t5439 @t5452)))) % 6.51/6.70 (assume @p4002 (forall @t5453 (not (= @t5452 @t5439)))) % 6.51/6.70 (assume @p4003 (forall @t4445 (=> @t5111 (= (tptp.hAPP @t5109 @t5439) @t5454)))) % 6.51/6.70 (assume @p4004 (forall @t243 (= (tptp.c_List_Osublist @t8 @t5439 @t51) @t5439))) % 6.51/6.70 (assume @p4005 (forall @t4617 (= (tptp.c_List_Opartition @t8 @t117 @t5439) @t5455))) % 6.51/6.70 (assume @p4006 (forall @t150 (tptp.hBOOL (tptp.hAPP @t4933 @t5439)))) % 6.51/6.70 (assume @p4007 (forall (@list @t561 @t8 @t74) (= (tptp.hAPP (tptp.hAPP @t4859 (tptp.c_List_Olist_ONil @t3674)) @t561) @t149))) % 6.51/6.70 (assume @p4008 (forall (@list @t13 @t2 @t8 @t74) (= (tptp.c_List_Ofoldr @t74 @t8 @t2 @t5456 @t13) @t13))) % 6.51/6.70 (assume @p4009 (forall @t599 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t562) @t592)) @t5458))) % 6.51/6.70 (assume @p4010 (forall @t97 (= (tptp.c_List_Oremove1 @t8 @t95 @t5439) @t5439))) % 6.51/6.70 (assume @p4011 (forall (@list @t5044 @t74 @t8) (= (tptp.hAPP @t5045 @t5456) @t5459))) % 6.51/6.70 (assume @p4012 (forall (@list @t5043 @t74 @t8) (= (tptp.hAPP (tptp.hAPP @t5036 @t5439) @t5043) @t5459))) % 6.51/6.70 (assume @p4013 (forall (@list @t4884 @t13 @t2 @t8 @t74) (=> @t5111 (not (= @t5461 @t5439))))) % 6.51/6.70 (assume @p4014 (forall @t3091 (tptp.c_List_Olistrelp @t8 @t2917 @t5439 @t5439))) % 6.51/6.70 (assume @p4015 (forall @t1310 (= (tptp.c_List_Olist_Olist__size @t8 @t1299 @t5439) @t1074))) % 6.51/6.70 (assume @p4016 (forall (@list @t5352 @t378 @t74 @t8) (= (tptp.c_Map_Omap__upds @t8 @t74 @t378 @t5352 @t5456) @t378))) % 6.51/6.70 (assume @p4017 (forall (@list @t5351 @t378 @t74 @t8) (= (tptp.c_Map_Omap__upds @t8 @t74 @t378 @t5439 @t5351) @t378))) % 6.51/6.70 (assume @p4018 (forall @t5321 (= (= @t5319 @t5439) (or @t1142 @t5447)))) % 6.51/6.70 (assume @p4019 (forall @t5429 (= (tptp.hAPP (tptp.hAPP @t5300 @t1074) @t5044) @t5439))) % 6.51/6.70 (assume @p4020 (forall @t2251 (= (tptp.hAPP @t5313 @t5439) @t5439))) % 6.51/6.70 (assume @p4021 (forall (@list @t284 @t592 @t8) (= (tptp.hAPP @t5462 @t284) @t5439))) % 6.51/6.70 (assume @p4022 (forall (@list @t1079 @t592 @t8) (= (tptp.hAPP @t5462 @t1079) @t5439))) % 6.51/6.70 (assume @p4023 (forall (@list @t73 @t205 @t4884 @t8) (= (= (tptp.hAPP (tptp.hAPP @t5302 @t205) @t73) @t5439) @t5447))) % 6.51/6.70 (assume @p4024 (forall @t4908 (= (= @t5439 @t4893) @t5463))) % 6.51/6.70 (assume @p4025 (forall @t1107 (= (tptp.hAPP @t4891 @t5456) @t5439))) % 6.51/6.70 (assume @p4026 (forall @t5422 (= (= @t4893 @t5439) @t5463))) % 6.51/6.70 (assume @p4027 (forall @t4898 (= (= @t5092 @t1074) @t5447))) % 6.51/6.70 (assume @p4028 (forall @t150 (= (tptp.hAPP @t5087 @t5439) @t1074))) % 6.51/6.70 (assume @p4029 (forall @t4898 (= (= @t4904 @t56) @t5447))) % 6.51/6.70 (assume @p4030 (forall @t4898 (= (= @t56 @t4904) @t5447))) % 6.51/6.70 (assume @p4031 (forall @t150 (= (tptp.hAPP @t4903 @t5439) @t56))) % 6.51/6.70 (assume @p4032 (forall @t150 (=> @t1120 (= (tptp.hAPP @t5377 @t5439) @t1082)))) % 6.51/6.70 (assume @p4033 (forall @t150 (= (tptp.c_List_Obutlast @t8 @t5439) @t5439))) % 6.51/6.70 (assume @p4034 (forall @t5466 (=> @t5465 (=> @t5048 (tptp.hBOOL (tptp.hAPP @t4933 @t5425)))))) % 6.51/6.70 (assume @p4035 (forall @t5193 (and (=> @t5464 (= @t5467 @t5439)) (=> @t5465 (= @t5467 (tptp.hAPP @t5183 @t5425)))))) % 6.51/6.70 (assume @p4036 (forall @t4898 (= (tptp.c_List_Osublist @t8 @t4884 @t1901) @t5439))) % 6.51/6.70 (assume @p4037 (forall (@list @t4721 @t74 @t8) (= (tptp.hAPP (tptp.hAPP @t4860 @t5459) @t4721) @t159))) % 6.51/6.70 (assume @p4038 (forall @t4898 (= @t5124 @t5468))) % 6.51/6.70 (assume @p4039 (forall @t5194 (= (tptp.hAPP (tptp.hAPP @t5300 @t467) @t5188) @t5469))) % 6.51/6.70 (assume @p4040 (forall @t5374 (not (tptp.hBOOL (tptp.hAPP @t5448 @t5365))))) % 6.51/6.70 (assume @p4041 (forall @t5374 (not (tptp.hBOOL (tptp.hAPP @t5450 @t5365))))) % 6.51/6.70 (assume @p4042 (forall @t3091 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 @t5455) @t5164)))) % 6.51/6.70 (assume @p4043 (forall @t3834 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5177 @t5439)) @t5242))))) % 6.51/6.70 (assume @p4044 (forall (@list @t2917 @t4883 @t8) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5449 @t4883)) @t4816))))) % 6.51/6.70 (assume @p4045 (forall @t5374 (not (tptp.hBOOL (tptp.hAPP @t5448 @t4816))))) % 6.51/6.70 (assume @p4046 (forall @t5446 (=> @t5445 (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 @t5443)) @t135)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 @t5441)) @t4626)))))) % 6.51/6.70 (assume @p4047 (forall @t5471 (= (tptp.hAPP @t5318 @t5190) (tptp.c_Nat_Onat_Onat__case @t4813 @t5439 (tptp.hAPP @t5341 (tptp.hAPP (tptp.hAPP @t5470 @t5300) @t4884)) @t281)))) % 6.51/6.70 (assume @p4048 (forall @t596 (and (=> @t1539 (= @t4949 (tptp.hAPP (tptp.hAPP @t5473 @t592) (tptp.c_List_Oupto @t5472 @t562)))) (=> (not @t1539) @t5458)))) % 6.51/6.70 (assume @p4049 (forall (@list @t73 @t8 @t51) (and (=> @t5476 (= @t5474 @t5454)) (=> (not @t5476) (= @t5474 @t5439))))) % 6.51/6.70 (assume @p4050 (forall @t5479 (= (tptp.c_List_Opartition @t8 @t117 @t5190) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4813 @t4813 @t4818) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4813 @t5127 @t5127) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5478 (tptp.tc_fun @t5127 @t5127) @t4813) (tptp.c_COMBS @t4813 @t4818 @t4818)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5127 @t5478 @t4813) (tptp.hAPP (tptp.c_COMBB @t4818 @t5477 @t4813) (tptp.hAPP (tptp.c_If @t4818) @t132))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4813 @t5127 @t4813) @t5093) @t5189)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4813 @t5227 @t5127) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5127 (tptp.tc_fun @t5227 @t5127) @t4813) (tptp.c_COMBB @t4813 @t4818 @t4813)) @t5093)) @t5189))) @t5444)))) % 6.51/6.70 (assume @p4051 (forall @t150 (= (tptp.c_List_Olists @t8 @t56) @t5480))) % 6.51/6.70 (assume @p4052 (forall @t5285 (and (=> @t1145 (= @t5481 @t5439)) (=> @t1146 (= @t5481 (tptp.hAPP @t5183 @t5420)))))) % 6.51/6.70 (assume @p4053 (forall @t524 (and (=> @t5484 (= @t5483 (tptp.hAPP (tptp.hAPP @t5473 @t5482) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t1394 @t5482) @t1477) @t2372)))) (=> (not @t5484) (= @t5483 @t5457))))) % 6.51/6.70 (assume @p4054 (forall @t3091 (= (tptp.hAPP @t5224 @t5480) @t5480))) % 6.51/6.70 (assume @p4055 (forall @t243 (= (tptp.c_List_Oset__Cons @t8 @t51 @t5480) (tptp.hAPP (tptp.c_Set_Oimage @t8 @t4813 @t5487) @t51)))) % 6.51/6.70 (assume @p4056 (forall @t3523 (=> (tptp.hBOOL (tptp.hAPP @t5489 (tptp.hAPP (tptp.hAPP @t2919 @t638) @t637))) (and (=> @t5488 (= @t4947 (tptp.hAPP (tptp.hAPP @t5473 @t638) @t4950))) (=> (not @t5488) (= @t4947 @t5457)))))) % 6.51/6.70 (assume @p4057 (forall @t5501 (and (=> @t5499 (= @t5498 @t5497)) (=> @t5500 (= @t5498 (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t5493 @t2930 @t5497 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t74 @t5493) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5494 @t5494) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5496 (tptp.tc_fun @t5494 @t5494) @t8) (tptp.c_COMBB @t5493 @t5493 @t74)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5495 @t5496 @t8) (tptp.c_Product__Type_Oprod_Oprod__case @t4813 @t74 @t5493)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5227 @t5495 @t8) (tptp.hAPP (tptp.c_COMBB @t4813 @t5494 @t4813) @t5492)) @t5180)))) (tptp.hAPP @t5491 @t5490)))) @t115)))))) % 6.51/6.70 (assume @p4058 (forall @t150 (= (tptp.c_List_Olistset @t8 (tptp.c_List_Olist_ONil @t55)) @t5480))) % 6.51/6.70 (assume @p4059 (forall (@list @t4883 @t100 @t4884 @t74 @t8) (= (tptp.hAPP @t5037 @t5210) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5115 @t8 @t5459 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5503 @t5503) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5502 (tptp.tc_fun @t5503 @t5503) @t8) (tptp.c_COMBB @t5115 @t5115 @t4813)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2930 @t5502 @t8) @t5186) (tptp.hAPP @t4501 @t100)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4813 @t4881 @t5115) @t5036) @t4883))) @t4884)))) % 6.51/6.70 (assume @p4060 (forall (@list @t4986 @t13 @t125 @t129 @t74 @t8) (= (tptp.hAPP @t5504 (tptp.hAPP (tptp.hAPP @t5187 @t13) @t4986)) (tptp.hAPP @t126 @t4986)))) % 6.51/6.70 (assume @p4061 (forall @t160 (= (tptp.hAPP @t5504 @t5456) @t129))) % 6.51/6.70 (assume @p4062 (forall (@list @t5505 @t51 @t8) (= (tptp.c_List_Olistset @t8 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t55) @t51) @t5505)) (tptp.c_List_Oset__Cons @t8 @t51 (tptp.c_List_Olistset @t8 @t5505))))) % 6.51/6.70 (assume @p4063 (forall @t5507 (= (tptp.hAPP (tptp.hAPP @t5036 @t5190) @t4883) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5115 @t74 @t5459 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t5506 @t5506) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5502 (tptp.tc_fun @t5506 @t5506) @t74) (tptp.c_COMBB @t5115 @t5115 @t4881)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2930 @t5502 @t74) @t5186) @t2934))) @t5037)) @t4883)))) % 6.51/6.70 (assume @p4064 (forall @t3187 (=> (tptp.hBOOL (tptp.hAPP @t5489 @t3186)) (=> (forall @t2587 (=> (tptp.hBOOL (tptp.hAPP @t5489 (tptp.hAPP (tptp.hAPP @t2919 @t1332) @t1236))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t1332) @t1236)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t117 @t3234) @t1236))) @t2584))) @t3180)))) % 6.51/6.70 (assume @p4065 (forall (@list @t73 @t378 @t4883 @t74 @t4884 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t5092) @t5120)) (= (tptp.c_Map_Omap__upds @t8 @t74 @t378 @t5510 @t4883) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t419 @t5359) @t73) (tptp.hAPP @t127 (tptp.hAPP @t5254 @t5092))))))) % 6.51/6.70 (assume @p4066 (forall (@list @t4884 @t73 @t5057 @t4883 @t8) (= (= @t5517 @t5190) (or (and @t5515 (= @t5057 @t5190)) (exists @t5514 (and (= @t4883 @t5513) (= @t5512 @t4884))))))) % 6.51/6.70 (assume @p4067 (forall (@list @t5057 @t4883 @t4884 @t73 @t8) (= (= @t5190 @t5517) (or (and @t5515 (= @t5190 @t5057)) (exists @t5514 (and (= @t5513 @t4883) (= @t4884 @t5512))))))) % 6.51/6.70 (assume @p4068 (forall (@list @t100 @t4883 @t73 @t4884 @t8) (= (= @t5510 @t5519) (and @t4885 @t328)))) % 6.51/6.70 (assume @p4069 (forall (@list @t5043 @t8) (= @t5520 @t5043))) % 6.51/6.70 (assume @p4070 (forall @t5523 (= (= @t5439 @t5522) @t5521))) % 6.51/6.70 (assume @p4071 (forall @t5429 (= (tptp.hAPP @t5524 @t5439) @t5044))) % 6.51/6.70 (assume @p4072 (forall (@list @t4883 @t8 @t4884) (= (= @t4884 @t5522) @t5515))) % 6.51/6.70 (assume @p4073 (forall (@list @t4884 @t8 @t4883) (= (= @t4883 @t5522) @t5447))) % 6.51/6.70 (assume @p4074 (forall @t5523 (= (= @t5522 @t5439) @t5521))) % 6.51/6.70 (assume @p4075 (forall @t5523 (= (= @t5522 @t4884) @t5515))) % 6.51/6.70 (assume @p4076 (forall @t5523 (= (= @t5522 @t4883) @t5447))) % 6.51/6.70 (assume @p4077 (forall (@list @t8 @t5043 @t5044) (=> @t5103 (= @t5044 @t5520)))) % 6.51/6.70 (assume @p4078 (forall @t5529 (and (=> @t5527 (= @t5526 @t5425)) (=> @t5528 (= @t5526 (tptp.hAPP @t5524 (tptp.c_List_Obutlast @t8 @t5043))))))) % 6.51/6.70 (assume @p4079 (forall @t5106 (=> @t1120 (= (tptp.hAPP @t5377 @t5525) (tptp.hAPP (tptp.hAPP @t676 @t5384) (tptp.hAPP @t5377 @t5043)))))) % 6.51/6.70 (assume @p4080 (forall @t5106 (= (tptp.hAPP @t5087 @t5525) (tptp.hAPP @t5530 @t5104)))) % 6.51/6.70 (assume @p4081 (forall (@list @t5531 @t5043 @t5533 @t74 @t5044 @t8) (=> (= @t5105 (tptp.hAPP @t5085 @t5533)) (=> (= @t5104 (tptp.hAPP @t5085 @t5531)) (= (tptp.hAPP @t5536 (tptp.hAPP (tptp.hAPP @t5535 @t5533) @t5531)) (tptp.hAPP (tptp.hAPP @t5534 (tptp.hAPP @t5045 @t5533)) (tptp.hAPP @t5532 @t5531))))))) % 6.51/6.70 (assume @p4082 (forall @t5523 (= (tptp.hAPP @t4903 @t5522) @t4913))) % 6.51/6.70 (assume @p4083 (forall @t4895 (= (tptp.hAPP @t4891 @t5537) (tptp.hAPP (tptp.hAPP @t5508 @t4893) @t4892)))) % 6.51/6.70 (assume @p4084 (forall @t5539 (=> @t5121 (= (tptp.c_Map_Omap__upds @t8 @t74 @t378 @t4884 (tptp.hAPP @t5538 @t5057)) @t5359)))) % 6.51/6.70 (assume @p4085 (forall @t5539 (=> @t5121 (= (tptp.c_Map_Omap__upds @t8 @t74 @t378 @t5540 @t4883) @t5359)))) % 6.51/6.70 (assume @p4086 (forall (@list @t51 @t4883 @t4884 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5225 @t5522) @t5348)) (and @t5356 (tptp.hBOOL (tptp.hAPP @t5541 @t5348)))))) % 6.51/6.70 (assume @p4087 (forall (@list @t13 @t4883 @t4884 @t2 @t8 @t74) (= (tptp.c_List_Ofoldr @t74 @t8 @t2 @t5537 @t13) (tptp.c_List_Ofoldr @t74 @t8 @t2 @t4884 (tptp.c_List_Ofoldr @t74 @t8 @t2 @t4883 @t13))))) % 6.51/6.70 (assume @p4088 (forall (@list @t5533 @t5043 @t5041 @t5542 @t5044 @t8) (=> (= (tptp.hAPP @t5524 @t5542) @t5041) (=> (= @t5043 (tptp.hAPP @t5543 @t5533)) (= @t5525 (tptp.hAPP (tptp.hAPP @t5508 @t5041) @t5533)))))) % 6.51/6.70 (assume @p4089 (forall (@list @t5057 @t4884 @t4883 @t8) (= (= (tptp.hAPP @t5516 @t4884) (tptp.hAPP @t5544 @t4884)) @t5119))) % 6.51/6.70 (assume @p4090 (forall @t5545 (= (= @t5522 @t5540) @t5119))) % 6.51/6.70 (assume @p4091 (forall (@list @t28 @t5057 @t4883 @t4884 @t8) (= (= @t5522 (tptp.hAPP @t5544 @t28)) (exists (@list @t5546) (or (and (= @t4884 (tptp.hAPP @t5544 @t5546)) (= (tptp.hAPP @t5547 @t4883) @t28)) (and (= (tptp.hAPP @t5509 @t5546) @t5057) (= @t4883 (tptp.hAPP @t5547 @t28)))))))) % 6.51/6.70 (assume @p4092 (forall (@list @t5041 @t5043 @t5044 @t8) (= (tptp.hAPP (tptp.hAPP @t5508 @t5525) @t5041) (tptp.hAPP @t5524 @t5548)))) % 6.51/6.70 (assume @p4093 (forall @t4924 (= (tptp.hAPP @t4860 (tptp.hAPP (tptp.hAPP @t5534 @t4884) @t4883)) (tptp.c_Map_Omap__add @t8 @t74 @t4921 @t4922)))) % 6.51/6.70 (assume @p4094 (forall @t5549 (= (tptp.hAPP (tptp.hAPP @t5508 @t5188) @t5043) (tptp.hAPP @t5183 @t5525)))) % 6.51/6.70 (assume @p4095 (forall (@list @t5041 @t5044 @t5043 @t5542 @t95 @t8) (=> (= (tptp.hAPP @t5183 @t5542) @t5043) (=> (= @t5044 (tptp.hAPP @t5543 @t5041)) (= @t5188 @t5548))))) % 6.51/6.70 (assume @p4096 (forall (@list @t5043 @t95 @t5044 @t8) (= (tptp.hAPP (tptp.hAPP @t5255 @t5550) @t5105) @t95))) % 6.51/6.70 (assume @p4097 (forall (@list @t336 @t5043 @t5044 @t8) (= (tptp.hAPP @t5551 (tptp.hAPP @t5530 @t336)) (tptp.hAPP @t5436 @t336)))) % 6.51/6.70 (assume @p4098 (forall @t5554 (= (tptp.hAPP @t5313 @t5525) (tptp.hAPP @t5553 (tptp.hAPP (tptp.hAPP @t5300 @t5552) @t5043))))) % 6.51/6.70 (assume @p4099 (forall (@list @t95 @t5043 @t5044 @t8 @t592) (=> @t5267 (= (tptp.hAPP (tptp.hAPP @t5555 @t592) @t95) (tptp.hAPP (tptp.hAPP @t5508 @t5308) @t5043))))) % 6.51/6.70 (assume @p4100 (forall (@list @t284 @t5043 @t95 @t5044 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5550) @t5105) @t284) (tptp.hAPP @t5524 @t5556)))) % 6.51/6.70 (assume @p4101 (forall @t5558 (and (=> @t5039 (= @t5557 (tptp.hAPP (tptp.hAPP @t5508 @t5032) @t4883))) (=> @t5040 (= @t5557 (tptp.hAPP @t5509 (tptp.c_List_Oremove1 @t8 @t73 @t4883))))))) % 6.51/6.70 (assume @p4102 (forall @t5558 (=> (or @t5424 (tptp.hBOOL (tptp.hAPP @t283 (tptp.hAPP @t4903 @t5559)))) (tptp.hBOOL (tptp.hAPP @t283 (tptp.hAPP @t4903 (tptp.c_List_Obutlast @t8 @t5522))))))) % 6.51/6.70 (assume @p4103 (forall @t5051 (= (tptp.c_List_Obutlast @t8 @t5560) @t5044))) % 6.51/6.70 (assume @p4104 (forall (@list @t5561 @t5562 @t2917 @t4883 @t4884 @t8) (=> (or (and @t5371 (= @t5562 @t5561)) (and @t4885 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP (tptp.hAPP @t5093 @t5562) @t5561)) @t5365)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP (tptp.hAPP @t5093 @t5563) (tptp.hAPP @t5516 @t5561))) @t5365))))) % 6.51/6.70 (assume @p4105 (forall (@list @t73 @t2917 @t240 @t1010 @t8) (=> @t5566 @t5565))) % 6.51/6.70 (assume @p4106 (forall @t5523 (= (tptp.hBOOL (tptp.hAPP @t4933 @t5522)) (and @t5034 @t5567 (= (tptp.hAPP (tptp.hAPP @t3864 @t4904) @t4912) @t56))))) % 6.51/6.70 (assume @p4107 (forall (@list @t5043 @t5044 @t8 @t336) (and (=> @t5426 (= @t5568 @t5262)) (=> @t5569 (= @t5568 (tptp.hAPP @t5436 @t5552)))))) % 6.51/6.70 (assume @p4108 (forall (@list @t95 @t5043 @t5044 @t8 @t336) (and (=> @t5426 (= @t5570 (tptp.hAPP (tptp.hAPP @t5508 (tptp.hAPP (tptp.hAPP @t5304 @t336) @t95)) @t5043))) (=> @t5569 (= @t5570 (tptp.hAPP @t5524 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5043) @t5552) @t95))))))) % 6.51/6.70 (assume @p4109 (forall (@list @t51 @t5571 @t1468 @t8) (= (tptp.c_List_Osublist @t8 (tptp.hAPP (tptp.hAPP @t5508 @t1468) @t5571) @t51) (tptp.hAPP (tptp.hAPP @t5508 (tptp.c_List_Osublist @t8 @t1468 @t51)) (tptp.c_List_Osublist @t8 @t5571 (tptp.hAPP @t4584 (tptp.hAPP (tptp.hAPP @t4580 (tptp.hAPP @t4588 (tptp.hAPP @t3529 (tptp.hAPP @t5087 @t1468)))) @t51))))))) % 6.51/6.70 (assume @p4110 (forall (@list @t4883 @t5561 @t5562 @t4884 @t2917 @t100 @t73 @t8) (=> @t3842 (=> (= @t4884 (tptp.hAPP @t5572 (tptp.hAPP @t5189 @t5561))) (=> (= @t4883 (tptp.hAPP @t5572 (tptp.hAPP @t5200 @t5561))) @t5371))))) % 6.51/6.70 (assume @p4111 (forall (@list @t100 @t73 @t1010 @t2917 @t58 @t13 @t8) (=> @t3835 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP (tptp.hAPP @t5093 (tptp.hAPP @t5573 @t5246)) (tptp.hAPP @t5573 @t5245))) @t5242))))) % 6.51/6.70 (assume @p4112 (forall @t5576 (=> @t5267 (= (tptp.hAPP (tptp.hAPP @t5300 @t674) @t5044) (tptp.hAPP @t5575 (tptp.hAPP @t5574 @t5439)))))) % 6.51/6.70 (assume @p4113 (forall (@list @t2917 @t100 @t4883 @t73 @t4884 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP (tptp.hAPP @t5093 @t5510) @t5519)) @t5365)) (or (and @t5371 @t328) (and @t4885 @t3842))))) % 6.51/6.70 (assume @p4114 (forall (@list @t51 @t1468 @t73 @t8) (= (tptp.c_List_Osublist @t8 @t5577 @t51) (tptp.hAPP (tptp.hAPP @t5508 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t4813) @t5475) @t5454) @t5439)) (tptp.c_List_Osublist @t8 @t1468 (tptp.hAPP @t4584 (tptp.hAPP @t4589 @t51))))))) % 6.51/6.70 (assume @p4115 (forall @t5166 (=> @t5371 (not (forall @t396 (=> @t4002 (forall @t5579 (=> (= @t4884 (tptp.hAPP @t5547 (tptp.hAPP @t5234 @t5578))) (not (= @t4883 (tptp.hAPP @t5547 (tptp.hAPP @t5238 @t5578)))))))))))) % 6.51/6.70 (assume @p4116 (forall (@list @t2917 @t240 @t1010 @t73 @t8) (=> @t5565 (=> (forall @t271 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t5375 @t268)) @t2917)))) @t5566)))) % 6.51/6.70 (assume @p4117 (forall @t4898 (= @t5583 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4813 @t8 @t5439 (tptp.hAPP (tptp.hAPP @t5581 @t5580) @t5487)) @t4884)))) % 6.51/6.70 (assume @p4118 (forall (@list @t348 @t5044 @t8 @t592) (=> @t5267 (= (tptp.hAPP @t5305 @t348) (tptp.hAPP @t5575 (tptp.hAPP @t5217 @t5585)))))) % 6.51/6.70 (assume @p4119 (forall @t5336 (= (tptp.hAPP @t5553 @t5587) @t5044))) % 6.51/6.70 (assume @p4120 (forall @t2251 (= (tptp.hAPP @t5586 @t5439) @t5439))) % 6.51/6.70 (assume @p4121 (forall @t4898 (= (= @t5583 @t5439) @t5447))) % 6.51/6.70 (assume @p4122 (forall @t5336 (= @t5589 @t5588))) % 6.51/6.70 (assume @p4123 (forall @t5336 (= @t5588 @t5589))) % 6.51/6.70 (assume @p4124 (forall @t5321 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t5592) @t4904)))) % 6.51/6.70 (assume @p4125 (forall @t5337 (=> (tptp.hBOOL (tptp.hAPP @t283 @t5592)) @t5039))) % 6.51/6.70 (assume @p4126 (forall @t5336 (= (tptp.hAPP @t5087 @t5587) (tptp.hAPP @t5427 @t336)))) % 6.51/6.70 (assume @p4127 (forall @t5429 (= (tptp.hAPP @t5087 @t5593) @t5105))) % 6.51/6.70 (assume @p4128 (forall @t4898 (= (tptp.hAPP @t4903 @t5583) @t4904))) % 6.51/6.70 (assume @p4129 (forall @t5328 (= (tptp.hAPP @t5590 @t4893) (tptp.hAPP @t4891 (tptp.hAPP @t5595 @t4884))))) % 6.51/6.70 (assume @p4130 (forall @t5334 (= (tptp.hAPP @t5313 @t5597) (tptp.hAPP @t5596 (tptp.hAPP (tptp.hAPP @t5300 @t571) @t5044))))) % 6.51/6.70 (assume @p4131 (forall @t5334 (= (tptp.hAPP @t5586 @t5333) (tptp.hAPP (tptp.hAPP @t5300 @t551) @t5587)))) % 6.51/6.70 (assume @p4132 (forall @t5326 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t2930) @t336) @t5046) (tptp.hAPP (tptp.hAPP @t5036 @t5587) (tptp.hAPP (tptp.hAPP @t5594 @t336) @t5043))))) % 6.51/6.70 (assume @p4133 (forall @t5334 (= (tptp.hAPP @t5586 @t5597) (tptp.hAPP (tptp.hAPP @t5584 @t571) @t5044)))) % 6.51/6.70 (assume @p4134 (forall @t5429 (= (tptp.hAPP (tptp.hAPP @t5584 @t1074) @t5044) @t5044))) % 6.51/6.70 (assume @p4135 (forall @t4898 (= (tptp.hBOOL (tptp.hAPP @t4933 @t5583)) @t5034))) % 6.51/6.70 (assume @p4136 (forall @t5306 (=> @t5048 (tptp.hBOOL (tptp.hAPP @t4933 @t5598))))) % 6.51/6.70 (assume @p4137 (forall (@list @t5043 @t284 @t5044 @t336 @t8) (=> (= @t5587 @t5556) (= @t5262 @t284)))) % 6.51/6.70 (assume @p4138 (forall @t5194 (= (tptp.hAPP (tptp.hAPP @t5584 @t467) @t5188) @t5044))) % 6.51/6.70 (assume @p4139 (forall @t5339 (= (tptp.hAPP @t5599 @t5188) @t5587))) % 6.51/6.70 (assume @p4140 (forall (@list @t4884 @t8 @t378 @t281) (=> @t927 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP @t4903 (tptp.hAPP (tptp.hAPP @t5584 @t378) @t4884))) @t5592))))) % 6.51/6.70 (assume @p4141 (forall @t5321 (= (= @t5591 @t5439) (tptp.hBOOL (tptp.hAPP @t5362 @t281))))) % 6.51/6.70 (assume @p4142 (forall @t5316 (=> @t5315 (= @t5587 @t5439)))) % 6.51/6.70 (assume @p4143 (forall @t5554 (= (tptp.hAPP @t5586 @t5525) (tptp.hAPP (tptp.hAPP @t5508 @t5587) (tptp.hAPP (tptp.hAPP @t5584 @t5552) @t5043))))) % 6.51/6.70 (assume @p4144 (forall @t5545 (= (= @t5522 @t5057) (and (= @t4884 (tptp.hAPP (tptp.hAPP @t5300 @t5092) @t5057)) (= @t4883 (tptp.hAPP (tptp.hAPP @t5584 @t5092) @t5057)))))) % 6.51/6.70 (assume @p4145 (forall @t5471 (= (tptp.hAPP @t5590 @t5190) (tptp.c_Nat_Onat_Onat__case @t4813 @t5190 (tptp.hAPP (tptp.hAPP @t5470 @t5584) @t4884) @t281)))) % 6.51/6.70 (assume @p4146 (forall @t5285 (and (=> @t1145 (= @t5600 @t5188)) (=> @t1146 (= @t5600 (tptp.hAPP (tptp.hAPP @t5584 @t1297) @t5044)))))) % 6.51/6.70 (assume @p4147 (forall (@list @t5044 @t8 @t592 @t336) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t5601) @t5105)) (= (tptp.hAPP (tptp.hAPP @t5255 @t5587) @t592) (tptp.hAPP @t5261 @t5601))))) % 6.51/6.70 (assume @p4148 (forall (@list @t5602 @t5605 @t5603 @t5604 @t8) (= (= (tptp.hAPP (tptp.hAPP @t5508 @t5604) @t5603) (tptp.hAPP (tptp.hAPP @t5508 @t5605) @t5602)) (and (=> @t5608 (and (= @t5604 (tptp.hAPP (tptp.hAPP @t5300 @t5607) @t5605)) (= @t5603 (tptp.hAPP (tptp.hAPP @t5508 (tptp.hAPP (tptp.hAPP @t5584 @t5607) @t5605)) @t5602)))) (=> (not @t5608) (and (= (tptp.hAPP (tptp.hAPP @t5300 @t5606) @t5604) @t5605) (= (tptp.hAPP (tptp.hAPP @t5508 (tptp.hAPP (tptp.hAPP @t5584 @t5606) @t5604)) @t5603) @t5602))))))) % 6.51/6.70 (assume @p4149 (forall @t5576 (=> @t5267 (= @t5609 @t5598)))) % 6.51/6.70 (assume @p4150 (forall (@list @t5044 @t95 @t74 @t8) (and (= (tptp.hAPP @t5582 @t5439) @t5439) (= (tptp.hAPP (tptp.c_List_Orotate1 @t74) (tptp.hAPP @t5610 @t5044)) (tptp.hAPP (tptp.hAPP @t5535 @t5044) (tptp.hAPP @t5610 @t5456)))))) % 6.51/6.70 (assume @p4151 (forall @t5292 (and (=> @t1842 (= @t5611 @t5188)) (=> @t5291 (= @t5611 (tptp.hAPP (tptp.hAPP @t5584 @t1356) @t5044)))))) % 6.51/6.70 (assume @p4152 (forall (@list @t5044 @t8 @t562 @t592) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t594) @t5105)) (= (tptp.hAPP (tptp.hAPP @t5300 @t594) @t5044) (tptp.hAPP @t5575 (tptp.hAPP (tptp.hAPP @t5300 @t562) @t5598)))))) % 6.51/6.70 (assume @p4153 (forall @t5429 (=> @t5612 (= @t5593 @t5044)))) % 6.51/6.70 (assume @p4154 (forall @t5613 (= (tptp.hAPP @t5045 (tptp.hAPP (tptp.hAPP @t5535 @t5043) @t5041)) (tptp.hAPP (tptp.hAPP @t5534 (tptp.hAPP (tptp.hAPP @t5036 (tptp.hAPP (tptp.hAPP @t5300 @t5113) @t5044)) @t5043)) (tptp.hAPP (tptp.hAPP @t5036 (tptp.hAPP (tptp.hAPP @t5584 @t5113) @t5044)) @t5041))))) % 6.51/6.70 (assume @p4155 (forall @t5613 (= (tptp.hAPP @t5536 @t5041) (tptp.hAPP (tptp.hAPP @t5534 (tptp.hAPP @t5045 (tptp.hAPP (tptp.hAPP @t5325 @t5105) @t5041))) (tptp.hAPP @t5532 (tptp.hAPP (tptp.hAPP @t5594 @t5105) @t5041)))))) % 6.51/6.70 (assume @p4156 (forall @t5576 (=> @t5267 (= @t5044 (tptp.hAPP @t5575 @t5609))))) % 6.51/6.70 (assume @p4157 (forall @t5421 (=> @t5426 (= (tptp.hAPP @t5553 (tptp.hAPP (tptp.hAPP @t5180 @t5616) @t5439)) @t5614)))) % 6.51/6.70 (assume @p4158 (forall @t5617 (=> @t5465 (=> @t5426 (= @t5616 @t5262))))) % 6.51/6.70 (assume @p4159 (forall @t5194 (= (tptp.hAPP @t5615 @t5188) @t95))) % 6.51/6.70 (assume @p4160 (forall @t5619 (=> @t5468 (= (tptp.hAPP (tptp.c_List_Ohd @t74) @t4887) (tptp.hAPP @t2 @t5618))))) % 6.51/6.70 (assume @p4161 (forall @t5623 @t5622)) % 6.51/6.70 (assume @p4162 (forall @t5623 (and (=> @t5464 (= @t5621 (tptp.hAPP @t5615 @t5043))) @t5622))) % 6.51/6.70 (assume @p4163 (forall @t5624 (=> @t5468 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t5618) @t4904))))) % 6.51/6.70 (assume @p4164 (forall @t5466 (=> @t5465 (= @t5620 (tptp.hAPP @t5261 @t1074))))) % 6.51/6.70 (assume @p4165 (forall @t5466 (=> @t5465 (= @t5593 (tptp.hAPP @t5628 (tptp.hAPP @t5625 @t5439)))))) % 6.51/6.70 (assume @p4166 (forall @t5617 (=> @t5465 (= (tptp.hAPP @t5615 @t5631) (tptp.hAPP @t5261 @t5629))))) % 6.51/6.70 (assume @p4167 (forall @t5336 (= @t5633 @t5632))) % 6.51/6.70 (assume @p4168 (forall @t5336 (= @t5632 @t5633))) % 6.51/6.70 (assume @p4169 (forall @t150 (= (tptp.hAPP @t5626 @t5439) @t5439))) % 6.51/6.70 (assume @p4170 (forall @t5321 (= (= @t5635 @t5439) @t5447))) % 6.51/6.70 (assume @p4171 (forall @t5336 (= (tptp.hAPP @t5087 @t5631) @t5105))) % 6.51/6.70 (assume @p4172 (forall @t5321 (= (tptp.hAPP @t4903 @t5635) @t4904))) % 6.51/6.70 (assume @p4173 (forall @t5328 (= (tptp.hAPP @t5634 @t4893) (tptp.hAPP @t4891 (tptp.hAPP (tptp.c_List_Orotate @t74 @t281) @t4884))))) % 6.51/6.70 (assume @p4174 (forall @t5422 (= (tptp.hAPP @t4891 (tptp.hAPP (tptp.c_List_Otl @t74) @t4884)) (tptp.hAPP @t5626 @t4893)))) % 6.51/6.70 (assume @p4175 (forall (@list @t5044 @t336 @t521 @t8) (= (tptp.hAPP (tptp.c_List_Orotate @t8 @t521) @t5631) (tptp.hAPP (tptp.c_List_Orotate @t8 @t573) @t5044)))) % 6.51/6.70 (assume @p4176 (forall @t5321 (= (tptp.hBOOL (tptp.hAPP @t4933 @t5635)) @t5034))) % 6.51/6.70 (assume @p4177 (forall @t5429 (=> @t5048 (tptp.hBOOL (tptp.hAPP @t4933 @t5627))))) % 6.51/6.70 (assume @p4178 (forall @t5194 (= (tptp.hAPP @t5626 @t5188) @t5044))) % 6.51/6.70 (assume @p4179 (forall @t5336 (= @t5636 (tptp.hAPP @t5630 @t5593)))) % 6.51/6.70 (assume @p4180 (forall @t5623 (=> @t5465 (= (tptp.hAPP @t5626 @t5525) (tptp.hAPP @t5628 @t5043))))) % 6.51/6.70 (assume @p4181 (forall @t5336 (= @t5637 (tptp.hAPP @t5626 @t5614)))) % 6.51/6.70 (assume @p4182 (forall @t5336 (= @t5631 (tptp.hAPP (tptp.c_List_Orotate @t8 @t5629) @t5044)))) % 6.51/6.70 (assume @p4183 (forall @t5336 (= (tptp.hAPP @t5599 @t5044) @t5633))) % 6.51/6.70 (assume @p4184 (forall @t5336 (= (tptp.hAPP (tptp.c_List_Orotate @t8 @t337) @t5044) @t5636))) % 6.51/6.70 (assume @p4185 (forall @t5523 (= (tptp.hAPP @t5626 @t5522) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4813 @t8 (tptp.hAPP @t5626 @t4883) (tptp.hAPP (tptp.c_COMBK @t5227 @t8) (tptp.hAPP @t5580 @t4883))) @t4884)))) % 6.51/6.70 (assume @p4186 (forall @t150 (= (tptp.c_List_Orotate @t8 @t1074) @t4899))) % 6.51/6.70 (assume @p4187 (forall @t2208 (= (tptp.c_List_Orotate @t8 @t1149) (tptp.hAPP (tptp.c_Fun_Ocomp @t4813 @t4813 @t4813 (tptp.c_List_Orotate @t8 @t378)) @t5634)))) % 6.51/6.70 (assume @p4188 (forall @t5421 (=> (= @t5629 @t1074) @t5638))) % 6.51/6.70 (assume @p4189 (forall @t5316 (=> @t5612 @t5638))) % 6.51/6.70 (assume @p4190 (forall @t5429 (= (tptp.hAPP @t5087 @t5627) @t5428))) % 6.51/6.70 (assume @p4191 (forall @t5336 (= (tptp.hAPP @t5626 @t5314) (tptp.hAPP @t5419 @t5627)))) % 6.51/6.70 (assume @p4192 (forall @t5617 (=> @t5465 (= @t5614 (tptp.hAPP @t5625 @t5637))))) % 6.51/6.70 (assume @p4193 (forall @t5336 (= @t5631 (tptp.hAPP (tptp.hAPP @t5508 (tptp.hAPP (tptp.hAPP @t5584 @t5629) @t5044)) (tptp.hAPP (tptp.hAPP @t5300 @t5629) @t5044))))) % 6.51/6.70 (assume @p4194 (forall @t4898 (=> @t851 (=> @t5468 (= (tptp.hAPP @t1076 @t4904) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t754 @t5618) (tptp.hAPP @t5626 @t4884))))))) % 6.51/6.70 (assume @p4195 (forall (@list @t2917 @t73 @t8 @t100) (=> (exists (@list @t1302 @t4119) (= @t100 (tptp.hAPP (tptp.hAPP @t5180 @t1302) @t4119))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5177 (tptp.hAPP @t5564 @t100))) @t5242))))) % 6.51/6.70 (assume @p4196 (forall (@list @t4884 @t73 @t13 @t2 @t74 @t8) (= (tptp.hAPP @t5639 @t5203) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t74 @t2 (tptp.hAPP @t530 @t73)) @t4884)))) % 6.51/6.70 (assume @p4197 (forall (@list @t5379 @t281 @t378) (=> @t877 (tptp.hBOOL (tptp.hAPP @t876 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t553 @t281) @t5379)))))) % 6.51/6.70 (assume @p4198 (forall (@list @t5057 @t73 @t8) (=> @t1120 (= (tptp.hAPP @t1173 (tptp.hAPP @t5640 @t5057)) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t676 @t73) @t5057))))) % 6.51/6.70 (assume @p4199 (forall @t5641 (=> (tptp.class_Groups_Osemigroup__add @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t676 @t1174) @t5057) (tptp.hAPP @t1173 (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t676 @t100) @t5057)))))) % 6.51/6.70 (assume @p4200 (forall (@list @t13 @t4884 @t8) (=> @t735 (= (tptp.c_List_Ofoldr @t8 @t8 @t676 @t4884 @t13) @t5642)))) % 6.51/6.70 (assume @p4201 (forall (@list @t4884 @t2 @t210 @t13 @t1 @t74 @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t74 @t1 @t13) @t5014) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t210 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4231 @t2414) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t75 (tptp.tc_fun @t4231 @t2414) @t8) @t1507) @t1)) @t2) @t13) @t4884)))) % 6.51/6.70 (assume @p4202 (forall @t4436 (= (tptp.hAPP @t5639 @t5456) @t13))) % 6.51/6.70 (assume @p4203 (forall (@list @t4883 @t4884 @t13 @t2 @t74 @t8) (= (tptp.hAPP @t5639 @t5537) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t74 @t2 @t5643) @t4883)))) % 6.51/6.70 (assume @p4204 (forall @t150 (=> @t1120 (= @t5377 @t5640)))) % 6.51/6.70 (assume @p4205 (forall @t4898 (=> @t1120 (= (tptp.hAPP @t5640 @t4884) @t5644)))) % 6.51/6.70 (assume @p4206 (forall @t5645 (=> @t1120 (= @t5642 (tptp.hAPP @t697 @t5644))))) % 6.51/6.70 (assume @p4207 (forall (@list @t5379 @t378) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t553 @t378) @t5379) @t1074) (and @t1148 @t5382)))) % 6.51/6.70 (assume @p4208 (forall @t5648 (=> @t4625 (= @t5647 (tptp.hAPP @t5646 @t4884))))) % 6.51/6.70 (assume @p4209 (forall @t4898 (=> @t2415 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t4904) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t1677 @t72) @t4884))))) % 6.51/6.70 (assume @p4210 (forall @t4898 (=> @t2415 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t4904) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t3869 @t4201) @t4884))))) % 6.51/6.70 (assume @p4211 (forall @t5053 (=> @t1678 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t5191) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t1677 @t73) @t4884))))) % 6.51/6.70 (assume @p4212 (forall @t5053 (=> @t1678 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t5191) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t3869 @t73) @t4884))))) % 6.51/6.70 (assume @p4213 (forall @t5053 (=> @t484 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t5191) @t5649)))) % 6.51/6.70 (assume @p4214 (forall @t5053 (=> @t484 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t5191) @t5650)))) % 6.51/6.70 (assume @p4215 (forall @t5053 (=> @t484 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1988 @t5191) @t5649)))) % 6.51/6.70 (assume @p4216 (forall @t5053 (=> @t484 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t2069 @t5191) @t5650)))) % 6.51/6.70 (assume @p4217 (forall @t5651 (=> @t2415 (= (tptp.hAPP (tptp.hAPP @t2412 @t4906) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t74 (tptp.hAPP @t3714 (tptp.hAPP (tptp.hAPP @t2968 @t1677) @t2)) @t72) @t4884))))) % 6.51/6.70 (assume @p4218 (forall @t5651 (=> @t2415 (= (tptp.hAPP (tptp.hAPP @t4294 @t4906) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t74 (tptp.hAPP @t3714 (tptp.hAPP (tptp.hAPP @t2968 @t3869) @t2)) @t4201) @t4884))))) % 6.51/6.70 (assume @p4219 (forall (@list @t5561 @t4951 @t378 @t74 @t8) (= (tptp.c_Map_Omap__upds @t8 @t74 @t378 @t4951 @t5561) (tptp.hAPP (tptp.c_List_Ofoldl @t4866 @t2930 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5655 (tptp.tc_fun @t2930 @t4866) @t4866) (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t74 @t4866)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4866 @t4871 @t5655) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5654 (tptp.tc_fun @t4871 @t5655) @t4866) (tptp.c_COMBC @t8 @t4871 @t5652)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t8 @t4867) @t5654 @t4866) (tptp.hAPP (tptp.c_COMBB @t4867 @t5653 @t8) (tptp.c_COMBB @t418 @t4866 @t74))) @t419))) @t127)) @t378) (tptp.hAPP (tptp.hAPP @t5036 @t4951) @t5561))))) % 6.51/6.70 (assume @p4220 (forall (@list @t5379 @t281) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2339 @t281) @t5381)) (tptp.hBOOL (tptp.hAPP @t926 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t553 @t1074) @t5379)))))) % 6.51/6.70 (assume @p4221 (forall (@list @t2917 @t100 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5449 @t100)) @t5242)) (exists (@list @t268 @t3) (= @t100 (tptp.hAPP @t5656 @t3)))))) % 6.51/6.70 (assume @p4222 (forall (@list @t95 @t561 @t8 @t5044) (=> @t5465 (and (=> @t5433 (= @t5658 @t95)) (=> @t5434 (= @t5658 @t5657)))))) % 6.51/6.70 (assume @p4223 (forall @t5529 @t5660)) % 6.51/6.70 (assume @p4224 (forall @t5529 @t5661)) % 6.51/6.70 (assume @p4225 (forall @t5529 (and @t5660 @t5661))) % 6.51/6.70 (assume @p4226 (forall @t5193 (and @t5664 @t5663))) % 6.51/6.70 (assume @p4227 (forall @t5193 @t5663)) % 6.51/6.70 (assume @p4228 (forall @t5193 @t5664)) % 6.51/6.70 (assume @p4229 (forall @t5619 (=> @t5468 (= (tptp.c_List_Olast @t74 @t4887) (tptp.hAPP @t2 @t5665))))) % 6.51/6.70 (assume @p4230 (forall (@list @t8 @t5352) (=> (not (= @t5352 @t5439)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 (tptp.c_List_Olast @t8 @t5352)) @t5363))))) % 6.51/6.70 (assume @p4231 (forall @t5051 (= (tptp.c_List_Olast @t8 @t5560) @t95))) % 6.51/6.70 (assume @p4232 (forall @t5421 (=> @t5426 (= (tptp.c_List_Olast @t8 @t5587) @t5657)))) % 6.51/6.70 (assume @p4233 (forall @t5466 (=> @t5465 (= (tptp.hAPP (tptp.hAPP @t5508 @t5425) (tptp.hAPP (tptp.hAPP @t5180 @t5657) @t5439)) @t5044)))) % 6.51/6.70 (assume @p4234 (forall (@list @t4883 @t73 @t4884 @t8) (= (= @t5510 @t4883) (and (not @t5515) (= @t5559 @t4884) (= (tptp.c_List_Olast @t8 @t4883) @t73))))) % 6.51/6.70 (assume @p4235 (forall @t5466 (=> @t5465 (= @t5657 (tptp.hAPP @t5261 @t5428))))) % 6.51/6.70 (assume @p4236 (forall @t57 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5225 @t13) @t5348)) (or @t5667 (exists (@list @t268 @t5666) (and (= @t13 (tptp.hAPP @t5656 @t5666)) @t1075 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5225 @t5666) @t5348)))))))) % 6.51/6.70 (assume @p4237 (forall (@list @t5668 @t74 @t4884 @t8) (= (tptp.hAPP (tptp.hAPP @t2057 @t5107) (tptp.c_List_Ofoldr @t4881 tptp.tc_Nat_Onat (tptp.hAPP @t5670 @t5085) @t5668 @t1074)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2057 @t5092) (tptp.c_List_Ofoldr @t4881 tptp.tc_Nat_Onat (tptp.hAPP @t5670 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4881 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t5669 @t468) @t5085)) @t1239)) (tptp.hAPP (tptp.c_List_Ofilter @t4881 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4881) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4881 @t4881 tptp.tc_HOL_Obool) tptp.c_fequal) @t5456))) @t5668) @t1074)))))) % 6.51/6.70 (assume @p4238 (forall @t5675 (and (=> @t133 (= @t5673 (tptp.hAPP @t5189 @t5672))) (=> @t5674 (= @t5673 @t5672))))) % 6.51/6.70 (assume @p4239 (forall @t5274 (=> @t5034 (tptp.hBOOL (tptp.hAPP @t4933 @t5672))))) % 6.51/6.70 (assume @p4240 (forall (@list @t4884 @t116 @t117 @t8) (= (tptp.hAPP @t5671 @t5677) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP (tptp.hAPP @t4428 (tptp.hAPP @t3827 @t116)) @t117)) @t4884)))) % 6.51/6.70 (assume @p4241 (forall @t5675 (=> @t5674 (= (tptp.c_List_Oremove1 @t8 @t73 @t5672) @t5672)))) % 6.51/6.70 (assume @p4242 (forall (@list @t4884 @t73 @t116 @t8) (= (tptp.hAPP @t5676 @t5032) (tptp.c_List_Oremove1 @t8 @t73 @t5677)))) % 6.51/6.70 (assume @p4243 (forall (@list @t4884 @t2 @t8 @t73 @t117 @t74) (=> @t5111 (=> @t5674 (= (tptp.hAPP @t5671 @t5110) @t5672))))) % 6.51/6.70 (assume @p4244 (forall @t5678 (= (= @t5672 @t4884) @t5273))) % 6.51/6.70 (assume @p4245 (forall @t5678 (= (tptp.hAPP (tptp.hAPP @t553 @t5679) (tptp.hAPP @t5087 (tptp.hAPP (tptp.c_List_Ofilter @t8 @t4615) @t4884))) @t5092))) % 6.51/6.70 (assume @p4246 (forall @t5683 (= @t5682 (tptp.hAPP @t4891 @t5681)))) % 6.51/6.70 (assume @p4247 (forall @t5678 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t5684) @t4904)))) % 6.51/6.70 (assume @p4248 (forall @t5678 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t5679) @t5092)))) % 6.51/6.70 (assume @p4249 (forall @t5678 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t4813 @t4813) @t5444) @t5672))) % 6.51/6.70 (assume @p4250 (forall @t5678 (= (= @t5672 @t5439) (forall @t7 (=> @t5272 @t4626))))) % 6.51/6.70 (assume @p4251 (forall @t4617 (= (tptp.hAPP @t5671 @t5439) @t5439))) % 6.51/6.70 (assume @p4252 (forall @t5686 (= (tptp.hAPP @t5671 @t5522) (tptp.hAPP (tptp.hAPP @t5508 @t5672) @t5685)))) % 6.51/6.70 (assume @p4253 (forall @t5678 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t4813 @t4813) @t5444) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t5687 @t117)) @t4884)))) % 6.51/6.70 (assume @p4254 (forall @t5678 (= @t5684 (tptp.hAPP @t4594 (tptp.hAPP (tptp.hAPP @t4428 (tptp.hAPP @t3827 (tptp.hAPP @t1792 @t4904))) @t117))))) % 6.51/6.70 (assume @p4255 (forall @t5683 (= (tptp.hAPP @t5087 @t5682) (tptp.hAPP @t5085 @t5681)))) % 6.51/6.70 (assume @p4256 (forall (@list @t117 @t4884 @t73 @t8) (=> @t5039 (=> @t5674 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t5679) @t5092)))))) % 6.51/6.70 (assume @p4257 (forall @t5395 (= (tptp.c_List_Opartition @t8 @t2 @t4884) (tptp.hAPP (tptp.hAPP @t5093 (tptp.hAPP (tptp.c_List_Ofilter @t8 @t2) @t4884)) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t5687 @t2)) @t4884))))) % 6.51/6.70 (assume @p4258 (forall @t5688 (= (tptp.hAPP @t5030 @t471) (tptp.hAPP @t4903 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t4614 (tptp.hAPP @t2905 @t100))) @t4884))))) % 6.51/6.70 (assume @p4259 (forall @t5690 (=> @t5034 (= (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t1792 (tptp.hAPP @t4903 @t5689))) @t4884) @t5689)))) % 6.51/6.70 (assume @p4260 (forall @t5692 (= (tptp.hAPP @t5087 (tptp.hAPP @t5691 @t4884)) (tptp.hAPP @t2343 (tptp.hAPP @t4584 (tptp.hAPP @t5168 (tptp.hAPP (tptp.hAPP @t5286 @t3161) @t5256))))))) % 6.51/6.70 (assume @p4261 (forall @t5422 (= @t5694 (tptp.hAPP (tptp.hAPP @t4890 (tptp.hAPP @t5693 @t2)) (tptp.hAPP (tptp.c_List_Ofilter @t74 (tptp.hAPP @t4646 (tptp.hAPP (tptp.hAPP @t4693 (tptp.hAPP @t4692 @t2)) @t149))) @t4884))))) % 6.51/6.70 (assume @p4262 (forall @t4898 (= (tptp.c_List_Ofoldr @t4813 tptp.tc_Nat_Onat @t5700 @t5699 @t1074) (tptp.hAPP @t5698 (tptp.hAPP @t5696 @t4884))))) % 6.51/6.70 (assume @p4263 (forall @t150 @t5702)) % 6.51/6.70 (assume @p4264 (forall @t1107 (= (tptp.c_List_Omap__filter @t74 @t8 @t2 @t5456) @t5439))) % 6.51/6.70 (assume @p4265 (forall @t4898 (= (= @t5699 @t5701) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5706 @t5705)) @t5703))))) % 6.51/6.70 (assume @p4266 (forall @t4908 (= (tptp.c_List_Otranspose @t8 @t5708) (tptp.hAPP @t5707 (tptp.c_List_Otranspose @t74 @t4884))))) % 6.51/6.70 (assume @p4267 (forall (@list @t5709 @t8) (= (tptp.c_List_Otranspose @t8 (tptp.hAPP @t5711 @t5709)) (tptp.c_List_Otranspose @t8 @t5709)))) % 6.51/6.70 (assume @p4268 (forall (@list @t117 @t261 @t205 @t4884 @t8 @t74) (=> (= @t4928 @t5084) (=> (tptp.hBOOL (tptp.hAPP @t5416 @t261)) (= (tptp.hAPP (tptp.hAPP @t4859 (tptp.hAPP (tptp.c_List_Ofilter @t3674 @t4740) @t4884)) @t205) @t5084))))) % 6.51/6.70 (assume @p4269 (forall @t5112 (= (tptp.c_List_Omap__filter @t74 @t8 @t2 @t5203) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t4813 @t8 @t5694 (tptp.hAPP @t5486 @t5694)) @t115)))) % 6.51/6.70 (assume @p4270 (forall (@list @t5712 @t4884 @t117 @t8) (= (tptp.hAPP @t5718 (tptp.hAPP (tptp.c_List_Ofilter @t5716 (tptp.hAPP @t5717 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5716) tptp.c_Nat_OSuc) @t5715))) (tptp.hAPP @t5714 @t5712))) (tptp.hAPP @t5718 (tptp.hAPP (tptp.c_List_Ofilter @t5716 (tptp.hAPP @t5717 @t5715)) (tptp.hAPP @t5714 (tptp.hAPP @t5713 @t5712))))))) % 6.51/6.70 (assume @p4271 (forall @t5727 (=> @t5726 (= @t5724 (tptp.hAPP @t5722 @t5720))))) % 6.51/6.70 (assume @p4272 (forall @t4898 (= @t5725 (tptp.c_List_Ofoldr @t4813 tptp.tc_Nat_Onat @t5700 @t4884 @t1074)))) % 6.51/6.70 (assume @p4273 (forall (@list @t4884 @t117 @t2 @t8 @t74) (= @t5731 (tptp.c_List_Omap__filter @t74 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t407 @t407) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t74 @t407 @t5728) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t407 @t5728) @t74) (tptp.c_If @t407)) @t117)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t407 @t74) @t87) @t2))) @t149) @t4884)))) % 6.51/6.70 (assume @p4274 (forall (@list @t2 @t4884 @t13 @t8 @t74) (=> @t5111 (=> @t5054 (=> @t5733 (=> (= (tptp.hAPP @t5615 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP (tptp.hAPP @t4618 (tptp.hAPP tptp.c_fequal @t530)) @t2)) @t4884)) @t13) (= (tptp.hAPP @t5460 @t5732) @t4884))))))) % 6.51/6.70 (assume @p4275 (forall @t5358 (= (tptp.c_List_Osublist @t8 @t4884 @t51) (tptp.hAPP @t5718 (tptp.hAPP @t5738 @t5735))))) % 6.51/6.70 (assume @p4276 (forall @t150 (=> @t484 (tptp.c_List_Olinorder__class_Osorted @t8 @t5439)))) % 6.51/6.70 (assume @p4277 (forall @t97 (=> @t484 (tptp.c_List_Olinorder__class_Osorted @t8 @t5469)))) % 6.51/6.70 (assume @p4278 (forall (@list @t4884 @t1 @t8) (=> @t484 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t2905 @t5739)) @t4884))))) % 6.51/6.70 (assume @p4279 (forall @t5394 (=> @t484 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4891 (tptp.hAPP (tptp.c_List_Ofilter @t74 (tptp.hAPP (tptp.hAPP @t4684 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t55 @t74) tptp.c_fequal) @t2)) @t5739)) @t4884)))))) % 6.51/6.70 (assume @p4280 (forall (@list @t117 @t4884 @t2 @t74 @t8) (=> @t484 (=> @t5740 (tptp.c_List_Olinorder__class_Osorted @t8 @t5731))))) % 6.51/6.70 (assume @p4281 (forall @t5429 (=> @t484 (=> @t5741 (tptp.c_List_Olinorder__class_Osorted @t8 @t5627))))) % 6.51/6.70 (assume @p4282 (forall @t596 (and @t5746 (=> (not @t604) @t5744)))) % 6.51/6.70 (assume @p4283 (forall @t5641 (=> @t484 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5189 @t5747)) (and @t839 (tptp.c_List_Olinorder__class_Osorted @t8 @t5747)))))) % 6.51/6.70 (assume @p4284 (forall @t5042 (=> @t484 (=> @t817 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5748) (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5183 @t5748))))))) % 6.51/6.70 (assume @p4285 (forall @t596 @t5746)) % 6.51/6.70 (assume @p4286 (forall @t2812 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t636) @t336)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t521) (tptp.c_List_Oupt @t592 @t336)) (tptp.c_List_Oupt @t592 @t636))))) % 6.51/6.70 (assume @p4287 (forall @t5035 (=> @t484 (=> @t5749 (tptp.c_List_Olinorder__class_Osorted @t8 @t5247))))) % 6.51/6.70 (assume @p4288 (forall @t596 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t5743)))) % 6.51/6.70 (assume @p4289 (forall @t634 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t3645) @t5750))) % 6.51/6.70 (assume @p4290 (forall @t596 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t4949))) % 6.51/6.70 (assume @p4291 (forall @t596 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t5743))) % 6.51/6.70 (assume @p4292 (forall (@list @t348 @t5044 @t8) (=> @t484 (=> @t5741 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.c_List_Oremove1 @t8 @t348 @t5044)))))) % 6.51/6.70 (assume @p4293 (forall @t5053 (=> @t484 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t5097) @t5749)))) % 6.51/6.70 (assume @p4294 (forall @t5316 (=> @t484 (=> @t5741 (tptp.c_List_Olinorder__class_Osorted @t8 @t5314))))) % 6.51/6.70 (assume @p4295 (forall @t5751 (=> @t484 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4891 @t5102)) @t5740)))) % 6.51/6.70 (assume @p4296 (forall @t5752 (=> @t484 (=> @t5740 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4891 (tptp.c_List_Oremove1 @t74 @t73 @t4884))))))) % 6.51/6.70 (assume @p4297 (forall @t634 (= (tptp.hAPP @t5713 @t5750) (tptp.c_List_Oupt @t665 @t282)))) % 6.51/6.70 (assume @p4298 (forall @t5523 (=> @t484 (=> @t5749 (=> @t5034 (=> @t5754 (=> @t5567 @t5753))))))) % 6.51/6.70 (assume @p4299 (forall @t5429 (=> @t484 (=> @t5465 (=> @t5741 (tptp.c_List_Olinorder__class_Osorted @t8 @t5425)))))) % 6.51/6.70 (assume @p4300 (forall @t1484 (= (tptp.c_List_Oupt @t592 @t1074) @t5742))) % 6.51/6.70 (assume @p4301 (forall @t3523 (= (= @t5755 @t5742) (or (= @t637 @t1074) @t1015)))) % 6.51/6.70 (assume @p4302 (forall @t599 (=> @t1023 @t5744))) % 6.51/6.70 (assume @p4303 (forall @t5752 (=> @t484 (=> @t5740 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4891 @t5239)))))) % 6.51/6.70 (assume @p4304 (forall @t610 (=> @t863 (= (tptp.c_List_Oupt @t592 @t607) (tptp.hAPP @t5757 (tptp.c_List_Oupt @t562 @t607)))))) % 6.51/6.70 (assume @p4305 (forall @t596 (and @t5759 (=> (not @t863) (= @t5758 @t5742))))) % 6.51/6.70 (assume @p4306 (forall @t596 @t5759)) % 6.51/6.70 (assume @p4307 (forall @t3523 (= @t3627 @t5760))) % 6.51/6.70 (assume @p4308 (forall @t3523 (= @t5760 @t3627))) % 6.51/6.70 (assume @p4309 (forall @t596 (=> @t604 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t5743) @t592)))) % 6.51/6.70 (assume @p4310 (forall @t5316 (=> @t484 (=> @t5741 (tptp.c_List_Olinorder__class_Osorted @t8 @t5587))))) % 6.51/6.70 (assume @p4311 (forall (@list @t562 @t592 @t521) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t521) @t5743) (tptp.c_List_Oupt @t636 @t562)))) % 6.51/6.70 (assume @p4312 (forall @t596 (= (tptp.hAPP @t5390 @t5743) @t1025))) % 6.51/6.70 (assume @p4313 (forall @t5053 (=> @t484 (= @t5762 (and @t5749 @t5761))))) % 6.51/6.70 (assume @p4314 (forall @t5523 (=> @t484 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t5522) (and @t5749 @t5754 (forall @t7 (=> @t5272 (forall @t2329 (=> (tptp.hBOOL (tptp.hAPP @t2328 @t4912)) @t5763))))))))) % 6.51/6.70 (assume @p4315 (forall @t524 (and (=> @t5767 (= @t5766 (tptp.hAPP (tptp.hAPP @t5745 @t5765) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t5765) @t5764)))) (=> (not @t5767) (= @t5766 @t5742))))) % 6.51/6.70 (assume @p4316 (forall (@list @t4884 @t73 @t637 @t638) (= (= @t5755 (tptp.hAPP (tptp.hAPP @t5745 @t73) @t4884)) (and (tptp.hBOOL (tptp.hAPP @t643 @t637)) (= @t638 @t73) (= (tptp.c_List_Oupt (tptp.hAPP @t639 @t467) @t637) @t4884))))) % 6.51/6.70 (assume @p4317 (forall @t596 (=> @t604 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t5743) (tptp.hAPP @t563 @t467))))) % 6.51/6.70 (assume @p4318 (forall (@list @t73 @t117 @t4884 @t2 @t74 @t8) (=> @t484 (=> @t5740 (=> @t133 (= (tptp.hAPP @t5729 @t5102) (tptp.hAPP @t5101 @t5730))))))) % 6.51/6.70 (assume @p4319 (forall @t4898 (= (tptp.hAPP (tptp.hAPP @t5768 @t5256) @t5734) @t4884))) % 6.51/6.70 (assume @p4320 (forall @t672 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t281 @t378) (tptp.hAPP @t5380 (tptp.c_List_Oupt @t281 @t665))))) % 6.51/6.70 (assume @p4321 (forall @t1144 (= @t3677 (tptp.hAPP @t5380 @t5769)))) % 6.51/6.70 (assume @p4322 (forall @t3753 (=> @t1121 (= @t5772 @t5771)))) % 6.51/6.70 (assume @p4323 (forall @t3753 (=> @t1121 (= @t5771 @t5772)))) % 6.51/6.70 (assume @p4324 (forall (@list @t562 @t561 @t592) (=> (tptp.hBOOL (tptp.hAPP @t609 @t562)) (= (tptp.hAPP (tptp.hAPP @t5387 @t5743) @t561) @t608)))) % 6.51/6.70 (assume @p4325 (forall @t672 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t281 @t378) (tptp.hAPP @t5380 (tptp.c_List_Oupt @t282 @t665))))) % 6.51/6.70 (assume @p4326 (forall (@list @t176 @t179 @t8) (=> @t484 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5198 @t176)) (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 (tptp.hAPP @t4903 @t176))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t179) @t3)))) (tptp.c_List_Olinorder__class_Osorted @t8 @t176)))))) % 6.51/6.70 (assume @p4327 (forall @t672 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t281 @t378) (tptp.hAPP @t5380 (tptp.c_List_Oupt @t282 @t378))))) % 6.51/6.70 (assume @p4328 (forall (@list @t2 @t8 @t378 @t281 @t638) (=> (tptp.hBOOL (tptp.hAPP @t643 @t1250)) (= (tptp.hAPP (tptp.hAPP @t5255 @t5770) @t638) (tptp.hAPP @t2 (tptp.hAPP @t586 @t638)))))) % 6.51/6.70 (assume @p4329 (forall @t243 (=> @t484 (=> @t184 (and (= (tptp.hAPP @t4903 @t5076) @t51) (tptp.c_List_Olinorder__class_Osorted @t8 @t5076) (tptp.hBOOL (tptp.hAPP @t4933 @t5076))))))) % 6.51/6.70 (assume @p4330 (forall @t1144 (= @t3611 (tptp.hAPP @t5380 (tptp.c_List_Oupt @t1074 @t282))))) % 6.51/6.70 (assume @p4331 (forall @t5645 (=> @t484 (=> @t5054 (=> @t5749 (= (tptp.hAPP (tptp.hAPP @t5078 @t13) @t5732) @t4884)))))) % 6.51/6.70 (assume @p4332 (forall @t4898 (=> @t484 (= @t5749 (forall @t1238 (=> @t5278 (forall @t1336 (=> @t5773 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t5264) @t5277)))))))))) % 6.51/6.70 (assume @p4333 (forall @t5775 (=> @t484 (=> @t5741 (=> @t863 (=> @t5774 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t5266) @t5307)))))))) % 6.51/6.70 (assume @p4334 (forall @t4895 (=> @t5111 (=> @t4914 (=> @t5733 (=> (tptp.hBOOL (tptp.hAPP @t4937 @t4887)) (=> (tptp.c_List_Olinorder__class_Osorted @t74 @t4886) (=> (tptp.hBOOL (tptp.hAPP @t4937 @t4886)) @t5753)))))))) % 6.51/6.70 (assume @p4335 (forall (@list @t638 @t4884 @t51 @t8) (= (tptp.hAPP @t5718 (tptp.hAPP @t5738 (tptp.hAPP @t5714 (tptp.c_List_Oupt @t638 (tptp.hAPP @t639 @t5092))))) (tptp.hAPP @t5718 (tptp.hAPP (tptp.c_List_Ofilter @t5716 (tptp.hAPP (tptp.hAPP @t5737 (tptp.hAPP @t5736 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5716 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1876 @t5716) @t553) @t5715)) @t638))) @t51)) @t5735))))) % 6.51/6.70 (assume @p4336 (forall (@list @t281 @t8 @t4884) (=> (=> @t5778 @t1142) (=> (forall @t1336 (=> (tptp.hBOOL (tptp.hAPP @t4414 @t5776)) (= (tptp.hAPP @t5087 (tptp.hAPP @t5777 @t1332)) @t281))) (= @t5699 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t4813) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t5389 @t4813) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5287 (tptp.tc_fun @t5389 @t4813) tptp.tc_Nat_Onat) @t5768) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4813 @t5287 tptp.tc_Nat_Onat) @t5255) @t5777)))) (tptp.c_List_Oupt @t1074 @t5776))) @t5769)))))) % 6.51/6.70 (assume @p4337 (forall @t5781 (=> (tptp.hBOOL (tptp.hAPP @t5780 @t5779)) (= (tptp.c_List_Otranspose @t8 @t5779) (tptp.c_List_Otranspose @t8 @t5668))))) % 6.51/6.70 (assume @p4338 (forall @t150 (=> (tptp.hBOOL (tptp.hAPP @t5780 @t5701)) @t5702))) % 6.51/6.70 (assume @p4339 (forall @t5788 (=> @t5787 (=> @t5784 (= (tptp.hAPP @t5722 @t5783) @t5782))))) % 6.51/6.70 (assume @p4340 (forall @t5781 (= @t5791 (tptp.hAPP (tptp.hAPP @t5721 @t5615) @t5789)))) % 6.51/6.70 (assume @p4341 (forall @t243 (tptp.c_Fun_Oinj__on @t4813 @t4813 @t5792 @t51))) % 6.51/6.70 (assume @p4342 (forall @t4898 (= @t5793 (tptp.hAPP (tptp.c_List_Ofoldl @t4813 @t8 @t5486 @t5439) @t4884)))) % 6.51/6.70 (assume @p4343 (forall @t5781 (= @t5794 (tptp.hAPP (tptp.c_List_Ofoldl @t4813 @t4813 @t5508 @t5439) @t5668)))) % 6.51/6.70 (assume @p4344 (forall @t5035 (= (= @t5793 @t5454) @t5795))) % 6.51/6.70 (assume @p4345 (forall @t5053 (= (= @t5454 @t5793) @t5795))) % 6.51/6.70 (assume @p4346 (forall @t4898 (= (tptp.hAPP @t5792 @t5796) (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5790 @t5792) (tptp.hAPP (tptp.c_List_Orev @t4813) @t4884)))))) % 6.51/6.70 (assume @p4347 (forall @t4908 (= @t5799 (tptp.hAPP @t4891 @t5798)))) % 6.51/6.70 (assume @p4348 (forall @t4898 (= (= @t5793 @t5439) @t5447))) % 6.51/6.70 (assume @p4349 (forall @t4898 (= (= @t5439 @t5793) @t5447))) % 6.51/6.70 (assume @p4350 (forall @t150 (= (tptp.hAPP @t5792 @t5439) @t5439))) % 6.51/6.70 (assume @p4351 (forall @t5106 (= (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5801 @t5044) @t5043)) (tptp.hAPP (tptp.hAPP @t5508 @t5800) (tptp.c_List_Oconcat @t8 @t5043))))) % 6.51/6.70 (assume @p4352 (forall @t5106 (= (tptp.hAPP @t5792 @t5525) (tptp.hAPP (tptp.hAPP @t5508 (tptp.hAPP @t5792 @t5043)) @t5802)))) % 6.51/6.70 (assume @p4353 (forall @t4898 (= (tptp.hBOOL (tptp.hAPP @t4933 @t5793)) @t5034))) % 6.51/6.70 (assume @p4354 (forall (@list @t5668 @t4884 @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t4813 @t4813 @t5508 @t4884) @t5668) (tptp.hAPP @t5509 @t5794)))) % 6.51/6.70 (assume @p4355 (forall (@list @t4884 @t13 @t2 @t74 @t8) (= @t5643 (tptp.c_List_Ofoldr @t74 @t8 (tptp.hAPP (tptp.c_COMBC @t8 @t74 @t8) @t2) @t5798 @t13)))) % 6.51/6.70 (assume @p4356 (forall (@list @t13 @t4884 @t2 @t8 @t74) (= @t5204 (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t74 (tptp.hAPP @t3714 @t2) @t13) @t5798)))) % 6.51/6.70 (assume @p4357 (forall @t150 (= (tptp.c_List_Oconcat @t8 @t5701) @t5439))) % 6.51/6.70 (assume @p4358 (forall @t5429 (= (tptp.hAPP @t5087 @t5802) @t5105))) % 6.51/6.70 (assume @p4359 (forall @t5429 (= (tptp.hAPP @t5792 @t5802) @t5044))) % 6.51/6.70 (assume @p4360 (forall @t5523 (= (= @t5793 @t4883) (= @t4884 @t5803)))) % 6.51/6.70 (assume @p4361 (forall @t5523 (= (= @t5793 @t5803) @t4885))) % 6.51/6.70 (assume @p4362 (forall @t5429 (=> @t1121 (= (tptp.hAPP @t5377 @t5802) @t5384)))) % 6.51/6.70 (assume @p4363 (forall @t4898 (= (tptp.hAPP @t4903 @t5793) @t4904))) % 6.51/6.70 (assume @p4364 (forall @t5049 (=> (= @t5105 @t5113) (= (tptp.hAPP (tptp.hAPP @t5036 @t5802) (tptp.hAPP @t5797 @t5043)) (tptp.hAPP @t5804 @t5046))))) % 6.51/6.70 (assume @p4365 (forall @t5678 (= (tptp.hAPP @t5792 @t5672) (tptp.hAPP @t5671 @t5793)))) % 6.51/6.70 (assume @p4366 (forall @t5194 (= (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5710 @t95) @t5044)) (tptp.hAPP (tptp.hAPP @t5508 @t95) @t5800)))) % 6.51/6.70 (assume @p4367 (forall @t5781 (= (= @t5794 @t5439) @t5806))) % 6.51/6.70 (assume @p4368 (forall @t5781 (= (= @t5439 @t5794) @t5806))) % 6.51/6.70 (assume @p4369 (forall @t5422 (= (tptp.hAPP @t4891 (tptp.c_List_Oconcat @t74 @t4884)) (tptp.c_List_Oconcat @t8 @t5708)))) % 6.51/6.70 (assume @p4370 (forall @t5692 (= (tptp.hAPP @t5691 @t5796) (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5790 @t5691) @t4884))))) % 6.51/6.70 (assume @p4371 (forall (@list @t4883 @t100 @t4884 @t8) (= (= @t5793 @t5201) (= @t4884 (tptp.hAPP (tptp.hAPP @t5508 @t5803) @t5518))))) % 6.51/6.70 (assume @p4372 (forall @t5194 (= (tptp.hAPP @t5792 @t5188) (tptp.hAPP (tptp.hAPP @t5508 @t5802) @t5469)))) % 6.51/6.70 (assume @p4373 (forall @t5781 (= (tptp.hAPP @t5087 @t5794) (tptp.hAPP @t5383 (tptp.hAPP @t5785 @t5668))))) % 6.51/6.70 (assume @p4374 (forall @t4898 (= (tptp.hAPP @t4903 @t5796) (tptp.hAPP (tptp.hAPP @t5807 @t5705) @t4903)))) % 6.51/6.70 (assume @p4375 (forall @t5466 (=> @t5465 (= (tptp.hAPP @t5615 @t5802) @t5657)))) % 6.51/6.70 (assume @p4376 (forall @t5466 (=> @t5465 (= (tptp.c_List_Olast @t8 @t5802) @t5620)))) % 6.51/6.70 (assume @p4377 (forall @t4898 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5786 (tptp.hAPP @t5785 @t5699))))) % 6.51/6.70 (assume @p4378 (forall @t5809 (= (tptp.hAPP @t5792 @t5598) (tptp.hAPP (tptp.hAPP @t5300 @t5808) @t5802)))) % 6.51/6.70 (assume @p4379 (forall @t5809 (= (tptp.hAPP @t5792 @t5335) (tptp.hAPP (tptp.hAPP @t5584 @t5808) @t5802)))) % 6.51/6.70 (assume @p4380 (forall @t5336 (= (tptp.hAPP @t5630 @t5802) (tptp.hAPP @t5792 (tptp.hAPP (tptp.c_List_Orotate @t8 (tptp.hAPP @t5427 @t5629)) @t5044))))) % 6.51/6.70 (assume @p4381 (forall @t5815 @t5814)) % 6.51/6.70 (assume @p4382 (forall @t5421 (=> @t5426 (= (tptp.hAPP (tptp.hAPP @t5255 @t5802) @t336) (tptp.hAPP @t5261 (tptp.hAPP @t5427 @t337)))))) % 6.51/6.70 (assume @p4383 (forall @t5523 (=> @t5818 (=> @t5817 (=> @t5816 @t4885))))) % 6.51/6.70 (assume @p4384 (forall @t5523 (=> @t5816 (=> @t5817 (= @t5818 @t4885))))) % 6.51/6.70 (assume @p4385 (forall (@list @t284 @t5044 @t8 @t561) (=> (tptp.hBOOL (tptp.hAPP @t612 @t5105)) (= (tptp.hAPP @t5792 (tptp.hAPP @t5430 @t284)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5802) (tptp.hAPP (tptp.hAPP @t468 (tptp.hAPP @t5427 @t561)) @t467)) @t284))))) % 6.51/6.70 (assume @p4386 (forall @t4908 (= (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5819 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t4813 @t4813) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t5227 @t74) @t5180) @t2)) @t5439)) @t4884)) @t4893))) % 6.51/6.70 (assume @p4387 (forall @t5775 (=> @t484 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5802) (=> @t863 (=> @t5774 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t5307) @t5266)))))))) % 6.51/6.70 (assume @p4388 (forall @t5688 (=> @t484 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5793) (and (=> @t5447 (= @t5820 @t100)) (=> @t5468 (= @t5820 (tptp.hAPP (tptp.hAPP @t2069 (tptp.hAPP @t5256 @t1074)) @t100)))))))) % 6.51/6.70 (assume @p4389 (forall @t5815 (=> (tptp.hBOOL (tptp.hAPP @t5780 @t5813)) @t5814))) % 6.51/6.70 (assume @p4390 (forall @t4898 (=> @t5787 (and (=> @t5778 (= @t5725 @t1074)) (=> (not @t5778) (= @t5725 (tptp.hAPP @t5087 (tptp.hAPP @t5777 @t1074)))))))) % 6.51/6.70 (assume @p4391 (forall @t5788 (=> @t5787 (=> @t5784 (= (tptp.hAPP @t5698 @t5783) (tptp.hAPP @t5087 @t5782)))))) % 6.51/6.70 (assume @p4392 (forall @t5781 (= @t5812 (tptp.hAPP (tptp.hAPP @t5790 @t5626) @t5789)))) % 6.51/6.70 (assume @p4393 (forall @t5283 (=> @t5787 (=> @t5726 (=> (tptp.hBOOL (tptp.hAPP @t5281 (tptp.hAPP @t5698 @t5720))) (= (tptp.hAPP (tptp.hAPP @t5255 @t5724) @t637) (tptp.hAPP (tptp.hAPP @t5255 (tptp.hAPP @t5777 @t637)) @t638))))))) % 6.51/6.70 (assume @p4394 (forall @t4898 (=> @t5787 (= (tptp.c_List_Otranspose @t8 @t5699) (tptp.c_List_OtakeWhile @t4813 @t5695 @t4884))))) % 6.51/6.70 (assume @p4395 (= @t5742 (tptp.c_List_Oreturn__list @t5457))) % 6.51/6.70 (assume @p4396 (forall @t5683 (= (tptp.c_List_OtakeWhile @t8 @t117 @t4893) (tptp.hAPP @t4891 (tptp.c_List_OtakeWhile @t74 @t5680 @t4884))))) % 6.51/6.70 (assume @p4397 (forall (@list @t4883 @t117 @t4884 @t74 @t8) (= (tptp.hAPP @t5037 (tptp.c_List_OtakeWhile @t74 @t117 @t4883)) (tptp.c_List_OtakeWhile @t2930 (tptp.hAPP (tptp.c_Fun_Ocomp @t74 tptp.tc_HOL_Obool @t2930 @t117) @t3249) @t5067)))) % 6.51/6.70 (assume @p4398 (forall @t5822 (= (tptp.hAPP (tptp.hAPP @t5036 @t5821) @t4883) (tptp.c_List_OtakeWhile @t2930 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_HOL_Obool @t2930 @t117) @t3250) @t5067)))) % 6.51/6.70 (assume @p4399 (forall @t5678 (= (= @t5821 @t4884) @t5273))) % 6.51/6.70 (assume @p4400 (forall (@list @t4884 @t117 @t73 @t8) (=> (tptp.hBOOL (tptp.hAPP @t283 (tptp.hAPP @t4903 @t5821))) (and @t5039 @t133)))) % 6.51/6.70 (assume @p4401 (forall @t5678 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t5823) @t5092)))) % 6.51/6.70 (assume @p4402 (forall @t5678 (= @t5821 (tptp.hAPP (tptp.hAPP @t5300 @t5823) @t4884)))) % 6.51/6.70 (assume @p4403 (forall @t5274 (=> @t5034 (tptp.hBOOL (tptp.hAPP @t4933 @t5821))))) % 6.51/6.70 (assume @p4404 (forall (@list @t1468 @t4884 @t8 @t73 @t117) (=> @t5674 (= (tptp.c_List_OtakeWhile @t8 @t117 (tptp.hAPP @t5509 @t5577)) @t5821)))) % 6.51/6.70 (assume @p4405 (forall @t4617 (= (tptp.c_List_OtakeWhile @t8 @t117 @t5439) @t5439))) % 6.51/6.70 (assume @p4406 (forall @t5274 (=> @t484 (=> @t5749 (tptp.c_List_Olinorder__class_Osorted @t8 @t5821))))) % 6.51/6.70 (assume @p4407 (forall @t5675 (and (=> @t133 (= @t5824 (tptp.hAPP @t5189 @t5821))) (=> @t5674 (= @t5824 @t5439))))) % 6.51/6.70 (assume @p4408 (forall @t2353 (= (tptp.c_List_Oreturn__list @t1468) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint tptp.tc_Nat_Onat) tptp.c_Int_Onat) @t1468)))) % 6.51/6.70 (assume @p4409 (forall @t5826 (=> @t5039 (=> @t5674 (= @t5825 @t5821))))) % 6.51/6.70 (assume @p4410 (forall @t5827 (=> (tptp.hBOOL (tptp.hAPP @t5281 @t5823)) (= (tptp.hAPP (tptp.hAPP @t5255 @t5821) @t637) @t5279)))) % 6.51/6.70 (assume @p4411 (forall @t5678 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t5823) @t5092)) (not (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t5256 @t5823))))))) % 6.51/6.70 (assume @p4412 (forall @t5364 (= @t5359 (tptp.c_Map_Omap__add @t8 @t74 @t378 (tptp.hAPP @t4860 (tptp.hAPP @t5804 @t5067)))))) % 6.51/6.70 (assume @p4413 (forall @t5624 (=> @t5468 (=> @t5034 (= (tptp.c_List_OtakeWhile @t8 (tptp.hAPP @t4614 (tptp.hAPP @t2905 @t5665)) @t4884) @t5423))))) % 6.51/6.70 (assume @p4414 (forall (@list @t33 @t4884 @t2 @t74 @t8) (=> @t484 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5799) (= (tptp.hAPP (tptp.c_List_Ofilter @t74 @t5828) @t4884) (tptp.c_List_OtakeWhile @t74 @t5828 @t4884)))))) % 6.51/6.70 (assume @p4415 (forall @t2225 (=> (tptp.c_List_Onat__list @t556) (= (tptp.c_List_Oembed__list (tptp.c_List_Oreturn__list @t556)) @t556)))) % 6.51/6.70 (assume @p4416 (forall @t5781 (= (tptp.hAPP @t5087 (tptp.c_List_Oremdups @t8 @t5794)) (tptp.hAPP @t402 (tptp.hAPP (tptp.hAPP @t5807 @t5805) @t4903))))) % 6.51/6.70 (assume @p4417 (forall @t5429 (tptp.hBOOL (tptp.hAPP @t4933 @t5829)))) % 6.51/6.70 (assume @p4418 (forall @t5429 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 (tptp.hAPP @t5087 @t5829)) @t5105)))) % 6.51/6.70 (assume @p4419 (forall @t4908 (= (tptp.c_List_Oremdups @t8 (tptp.hAPP @t4891 (tptp.c_List_Oremdups @t74 @t4884))) (tptp.c_List_Oremdups @t8 @t4893)))) % 6.51/6.70 (assume @p4420 (forall @t4898 (= (tptp.hAPP @t4903 @t5830) @t4904))) % 6.51/6.70 (assume @p4421 (forall @t5051 (=> @t5048 (= (tptp.c_List_Oremove1 @t8 @t95 @t5829) (tptp.c_List_Oremdups @t8 @t5050))))) % 6.51/6.70 (assume @p4422 (forall (@list @t556 @t8) (=> @t484 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t556) (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.c_List_Oremdups @t8 @t556)))))) % 6.51/6.70 (assume @p4423 (forall @t89 (= (= @t5832 @t5439) @t5831))) % 6.51/6.70 (assume @p4424 (forall @t89 (= (= @t5439 @t5832) @t5831))) % 6.51/6.70 (assume @p4425 (forall @t150 (= (tptp.c_List_Oremdups @t8 @t5439) @t5439))) % 6.51/6.70 (assume @p4426 (forall @t4898 (= @t5833 @t5034))) % 6.51/6.70 (assume @p4427 (forall @t5429 (=> @t5048 (= @t5829 @t5044)))) % 6.51/6.70 (assume @p4428 (forall @t4898 (= (= @t5834 @t5092) @t5833))) % 6.51/6.70 (assume @p4429 (forall @t5429 (= (tptp.c_List_Oremdups @t8 @t5829) @t5829))) % 6.51/6.70 (assume @p4430 (forall @t5678 (= (tptp.c_List_Oremdups @t8 @t5672) (tptp.hAPP @t5671 @t5830)))) % 6.51/6.70 (assume @p4431 (forall @t2353 (= (tptp.c_List_Oembed__list @t1468) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Int_Oint) @t2195) @t1468)))) % 6.51/6.70 (assume @p4432 (forall @t5053 (and (=> @t5039 (= @t5835 @t5830)) (=> @t5040 (= @t5835 (tptp.hAPP @t5189 @t5830)))))) % 6.51/6.70 (assume @p4433 (forall @t4898 (= @t5834 @t5117))) % 6.51/6.70 (assume @p4434 (forall @t5648 (=> @t1660 (= @t5647 (tptp.hAPP @t5646 @t5830))))) % 6.51/6.70 (assume @p4435 (forall (@list @t521 @t556) (= (tptp.hAPP (tptp.hAPP @t5756 @t556) @t521) (tptp.c_List_Oreturn__list (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Int_Oint) (tptp.c_List_Oembed__list @t556)) (tptp.c_List_Oembed__list @t521)))))) % 6.51/6.70 (assume @p4436 (forall @t5035 (=> @t5034 (=> @t5039 (= (tptp.c_List_OtakeWhile @t8 @t5836 @t5793) (tptp.hAPP @t5792 (tptp.hAPP @t5626 (tptp.c_List_OdropWhile @t8 @t5836 @t4884)))))))) % 6.51/6.70 (assume @p4437 (forall @t5035 (=> @t5034 (=> @t5039 (= (tptp.c_List_OdropWhile @t8 @t5836 @t5793) (tptp.hAPP @t5189 (tptp.hAPP @t5792 (tptp.c_List_OtakeWhile @t8 @t5836 @t4884)))))))) % 6.51/6.70 (assume @p4438 (forall @t5678 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t5838) @t5092)))) % 6.51/6.70 (assume @p4439 (forall @t5274 (=> @t5034 (tptp.hBOOL (tptp.hAPP @t4933 @t5837))))) % 6.51/6.70 (assume @p4440 (forall @t4617 (= (tptp.c_List_OdropWhile @t8 @t117 @t5439) @t5439))) % 6.51/6.70 (assume @p4441 (forall @t5274 (=> @t484 (=> @t5749 (tptp.c_List_Olinorder__class_Osorted @t8 @t5837))))) % 6.51/6.70 (assume @p4442 (forall @t5675 (and (=> @t133 (= @t5839 @t5837)) (=> @t5674 (= @t5839 @t5190))))) % 6.51/6.70 (assume @p4443 (forall @t5678 (= @t5840 @t5273))) % 6.51/6.70 (assume @p4444 (forall @t5678 (= (tptp.hAPP @t5841 @t5837) @t4884))) % 6.51/6.70 (assume @p4445 (forall @t5678 (=> (not @t5840) (not (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t5615 @t5837))))))) % 6.51/6.70 (assume @p4446 (forall @t5683 (= (tptp.c_List_OdropWhile @t8 @t117 @t4893) (tptp.hAPP @t4891 (tptp.c_List_OdropWhile @t74 @t5680 @t4884))))) % 6.51/6.70 (assume @p4447 (forall @t5826 (=> @t5039 (=> @t5674 (= @t5842 (tptp.hAPP (tptp.hAPP @t5508 @t5837) @t4883)))))) % 6.51/6.70 (assume @p4448 (forall (@list @t4883 @t100 @t4884 @t117 @t8) (= (= @t5837 @t5201) (and (= @t4884 (tptp.hAPP @t5841 @t5201)) (not @t4570))))) % 6.51/6.70 (assume @p4449 (forall @t5678 (= @t5837 (tptp.hAPP (tptp.hAPP @t5584 @t5823) @t4884)))) % 6.51/6.70 (assume @p4450 (forall @t5827 (=> (tptp.hBOOL (tptp.hAPP @t5281 @t5838)) (= (tptp.hAPP (tptp.hAPP @t5255 @t5837) @t637) (tptp.hAPP @t5256 (tptp.hAPP @t3527 @t5823)))))) % 6.51/6.70 (assume @p4451 (forall (@list @t2 @t117 @t4884 @t8 @t74) (=> @t5402 (=> (forall @t7 (=> @t5272 (=> @t4626 @t2979))) (= (tptp.hAPP @t5396 (tptp.hAPP @t4880 @t5672)) @t5397))))) % 6.51/6.70 (assume @p4452 (forall @t5429 (=> @t484 (=> (forall @t2587 (=> @t5773 (=> (tptp.hBOOL (tptp.hAPP @t1237 @t5105)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t5437) (tptp.hAPP @t5261 @t1236)))))) @t5741)))) % 6.51/6.70 (assume @p4453 (forall @t5321 (= (tptp.c_Enum_On__lists @t8 @t282 @t4884) (tptp.c_List_Oconcat @t4813 (tptp.hAPP (tptp.hAPP @t5811 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4813 @t4813 @t5697) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t8 @t4813) @t5810 @t4813) (tptp.c_List_Omap @t8 @t4813)) @t5486)) @t4884)) @t5843))))) % 6.51/6.70 (assume @p4454 (forall @t4898 (= (tptp.hAPP @t4917 (tptp.hAPP @t5704 @t5844)) (tptp.hAPP @t3500 @t4904)))) % 6.51/6.70 (assume @p4455 (forall @t5316 (=> @t5048 (tptp.hBOOL (tptp.hAPP @t5846 @t5845))))) % 6.51/6.70 (assume @p4456 (forall @t4898 (=> @t5034 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t55) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4813 @t55) @t4903) @t5844)))))) % 6.51/6.70 (assume @p4457 (forall @t5336 (= (tptp.hAPP @t5698 @t5845) (tptp.hAPP (tptp.hAPP @t2676 @t5105) @t336)))) % 6.51/6.70 (assume @p4458 (forall (@list @t4884 @t281 @t4883 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5541 @t5847)) @t5091))) % 6.51/6.70 (assume @p4459 (forall @t150 (= (tptp.c_Enum_Osublists @t8 @t5439) @t5848))) % 6.51/6.70 (assume @p4460 (forall (@list @t8 @t336) (and (=> @t1145 (= @t5849 @t5848)) (=> @t1146 (= @t5849 @t5701))))) % 6.51/6.70 (assume @p4461 (forall @t5429 (= (tptp.c_Enum_On__lists @t8 @t1074 @t5044) @t5848))) % 6.51/6.70 (assume @p4462 (forall @t5053 (= (tptp.c_Enum_Osublists @t8 @t5190) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet @t5697 @t5697) @t5844) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5697 @t5697 @t5697) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5697 (tptp.tc_fun @t5697 @t5697) @t5697) @t5801) (tptp.hAPP @t5790 @t5189))) (tptp.c_COMBI @t5697)))))) % 6.51/6.70 (assume @p4463 (forall @t5321 (= @t5847 (tptp.hAPP @t5154 (tptp.hAPP (tptp.hAPP @t5139 (tptp.hAPP @t5136 @t5148)) (tptp.hAPP @t5151 @t4904)))))) % 6.51/6.70 (assume @p4464 (forall @t5429 (= (tptp.hAPP @t5698 (tptp.c_Enum_Osublists @t8 @t5044)) (tptp.hAPP @t3499 @t5105)))) % 6.51/6.70 (assume @p4465 (forall @t5507 (= (tptp.c_Enum_Oproduct @t8 @t74 @t5190 @t4883) (tptp.hAPP (tptp.hAPP @t5534 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t74 @t2930) @t2934) @t4883)) @t5850)))) % 6.51/6.70 (assume @p4466 (forall @t4617 (= (tptp.c_Enum_Oenum__the @t8 @t117) (tptp.c_HOL_OThe @t8 @t117)))) % 6.51/6.70 (assume @p4467 (forall (@list @t5851 @t74 @t8) (= (tptp.c_Enum_Oproduct @t8 @t74 @t5439 @t5851) @t5459))) % 6.51/6.70 (assume @p4468 (forall @t5049 (=> @t5048 (=> (tptp.hBOOL (tptp.hAPP @t4937 @t5043)) (tptp.hBOOL (tptp.hAPP @t5047 (tptp.c_Enum_Oproduct @t8 @t74 @t5044 @t5043))))))) % 6.51/6.70 (assume @p4469 (forall @t4924 (= (tptp.hAPP @t4918 @t5850) (tptp.hAPP (tptp.hAPP @t4462 @t4904) (tptp.hAPP @t2378 @t4915))))) % 6.51/6.70 (assume @p4470 (forall (@list @t4883 @t4884 @t8 @t74) (=> @t5857 (=> (= @t5092 @t5854) (=> (= @t5089 @t5854) (=> (= (tptp.hAPP @t5693 (tptp.hAPP @t4859 (tptp.hAPP @t5853 @t4884))) (tptp.hAPP @t5693 (tptp.hAPP @t4859 (tptp.hAPP @t5853 @t4883)))) @t4885)))))) % 6.51/6.70 (assume @p4471 (forall @t4898 (=> @t484 (= @t5858 (tptp.hAPP (tptp.c_List_Ofoldl @t4813 @t8 (tptp.hAPP @t5485 @t5078) @t5439) @t4884))))) % 6.51/6.70 (assume @p4472 (forall @t1586 (=> @t5860 (= (tptp.c_Enum_Oenum__class_Oenum @t2930) (tptp.c_Enum_Oproduct @t8 @t74 @t5859 @t5852))))) % 6.51/6.70 (assume @p4473 (forall @t150 (=> @t5855 (tptp.hBOOL (tptp.hAPP @t4933 @t5859))))) % 6.51/6.70 (assume @p4474 (forall @t150 (=> @t5855 (= (tptp.c_Enum_Oenum__class_Oenum @t407) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t407) @t149) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 @t407) @t87) @t5859)))))) % 6.51/6.70 (assume @p4475 (forall @t5422 (=> @t5111 (= (tptp.hBOOL (tptp.hAPP @t4933 @t5861)) @t5034)))) % 6.51/6.70 (assume @p4476 (forall (@list @t4884 @t2 @t117 @t8 @t74) (=> @t5111 (= (tptp.hAPP @t5671 @t5861) (tptp.c_List_Olinorder__class_Osort__key @t8 @t74 @t2 @t5672))))) % 6.51/6.70 (assume @p4477 (forall @t5422 (=> @t5111 (= (tptp.hAPP @t5087 @t5861) @t5092)))) % 6.51/6.70 (assume @p4478 (forall @t1107 (=> @t5111 (= (tptp.c_List_Olinorder__class_Osort__key @t8 @t74 @t2 @t5439) @t5439)))) % 6.51/6.70 (assume @p4479 (forall @t4898 (=> @t484 (tptp.c_List_Olinorder__class_Osorted @t8 @t5858)))) % 6.51/6.70 (assume @p4480 (forall @t5422 (=> @t5111 (= (tptp.hAPP @t4903 @t5861) @t4904)))) % 6.51/6.70 (assume @p4481 (forall @t150 (=> @t5855 (= @t5862 @t4202)))) % 6.51/6.70 (assume @p4482 (forall @t150 (=> @t5855 (= @t4202 @t5862)))) % 6.51/6.70 (assume @p4483 (forall @t89 (=> @t5855 (tptp.hBOOL (tptp.hAPP @t283 @t5862))))) % 6.51/6.70 (assume @p4484 (forall @t4908 (=> @t484 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4891 (tptp.c_List_Olinorder__class_Osort__key @t74 @t8 @t2 @t4884)))))) % 6.51/6.70 (assume @p4485 (forall @t5112 (=> @t5111 (= (tptp.c_List_Olinorder__class_Osort__key @t8 @t74 @t2 @t5190) (tptp.hAPP @t5109 @t5861))))) % 6.51/6.70 (assume @p4486 (forall @t1586 (=> (and @t5855 @t5867 @t5856) @t5866))) % 6.51/6.70 (assume @p4487 (forall @t1586 (=> @t5860 @t5866))) % 6.51/6.70 (assume @p4488 (forall @t4898 (=> @t484 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t4904) (tptp.c_List_Olinorder__class_Osort__key @t8 @t8 @t1505 @t5830))))) % 6.51/6.70 (assume @p4489 (forall @t5869 (=> @t5855 (= (tptp.c_Enum_Oall__n__lists @t8 @t117 @t281) (forall @t7 (=> @t5868 @t135)))))) % 6.51/6.70 (assume @p4490 (forall @t5869 (=> @t5855 (= (tptp.c_Enum_Oex__n__lists @t8 @t117 @t281) (exists @t7 (and @t5868 @t135)))))) % 6.51/6.70 (assume @p4491 (forall @t4742 (=> @t5857 @t5871))) % 6.51/6.70 (assume @p4492 (forall @t4742 (=> @t5857 @t5872))) % 6.51/6.70 (assume @p4493 (forall @t4742 (=> @t5857 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t2930) @t117)) (tptp.hBOOL (tptp.hAPP @t5873 (tptp.hAPP (tptp.hAPP @t4649 (tptp.c_Enum_Oenum__class_Oenum__all @t74)) @t4416))))))) % 6.51/6.70 (assume @p4494 (forall @t4742 (=> @t5857 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t2930) @t117)) (tptp.hBOOL (tptp.hAPP @t5874 (tptp.hAPP (tptp.hAPP @t4649 (tptp.c_Enum_Oenum__class_Oenum__ex @t74)) @t4416))))))) % 6.51/6.70 (assume @p4495 (forall @t4617 (=> @t5855 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t407) @t117)) (or @t5876 (tptp.hBOOL (tptp.hAPP @t5874 @t5875))))))) % 6.51/6.70 (assume @p4496 (forall @t4617 (=> @t5855 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t407) @t117)) (and @t5876 (tptp.hBOOL (tptp.hAPP @t5873 @t5875))))))) % 6.51/6.70 (assume @p4497 (forall @t4617 (=> @t5855 (= @t1919 @t5877)))) % 6.51/6.70 (assume @p4498 (forall @t4617 (=> @t5855 (= @t1921 @t5878)))) % 6.51/6.70 (assume @p4499 (forall @t4617 (=> @t5855 (= @t5877 @t1919)))) % 6.51/6.70 (assume @p4500 (forall @t4617 (=> @t5855 (= @t5878 @t1921)))) % 6.51/6.70 (assume @p4501 (forall @t845 (=> @t5880 (= @t821 (tptp.hBOOL (tptp.hAPP @t5873 (tptp.hAPP (tptp.hAPP @t5879 (tptp.hAPP @t5409 @t2)) @t1))))))) % 6.51/6.70 (assume @p4502 (forall @t845 (=> @t5880 (= @t952 (and @t821 (tptp.hBOOL (tptp.hAPP @t5874 (tptp.hAPP @t4614 (tptp.hAPP (tptp.hAPP @t5879 @t4424) @t1))))))))) % 6.51/6.70 (assume @p4503 (forall @t4742 (=> @t5881 @t5872))) % 6.51/6.70 (assume @p4504 (forall @t4742 (=> @t5881 @t5871))) % 6.51/6.70 (assume @p4505 (forall (@list @t95 @t5043 @t74 @t8) (=> @t5855 (=> (= @t5113 @t5863) (exists @t45 (= (tptp.hAPP (tptp.hAPP @t4860 (tptp.hAPP @t5864 @t5043)) @t95) @t5162)))))) % 6.51/6.70 (assume @p4506 (forall @t5678 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 (tptp.hAPP @t4903 @t5837))) @t4626)) (= @t5821 @t5672)))) % 6.51/6.70 (assume @p4507 (forall @t5883 (=> (forall @t1336 (=> @t4415 @t5270)) (=> (=> @t5276 (not @t5882)) (= @t5821 @t5319))))) % 6.51/6.70 (assume @p4508 (forall (@list @t4884 @t8 @t117 @t637) (=> (forall @t1336 (=> (tptp.hBOOL (tptp.hAPP @t4414 @t637)) @t5269)) (=> (tptp.hBOOL (tptp.hAPP @t985 @t5092)) (tptp.hBOOL (tptp.hAPP @t985 @t5823)))))) % 6.51/6.70 (assume @p4509 (forall @t316 (= @t5885 (tptp.hAPP (tptp.hAPP @t5884 (tptp.hAPP @t5226 @t5348)) (tptp.hAPP @t5226 @t5349))))) % 6.51/6.70 (assume @p4510 (forall (@list @t289 @t51 @t1468 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5886 @t5348)) (=> (tptp.hBOOL (tptp.hAPP @t5886 @t5349)) (tptp.hBOOL (tptp.hAPP @t5885 @t1468)))))) % 6.51/6.70 (assume @p4511 (forall @t243 (tptp.hBOOL (tptp.hAPP @t5887 @t5439)))) % 6.51/6.70 (assume @p4512 (forall (@list @t4883 @t4884 @t51 @t8) (= (tptp.hBOOL (tptp.hAPP @t5887 @t5522)) (and @t5888 (tptp.hBOOL (tptp.hAPP @t5887 @t4883)))))) % 6.51/6.70 (assume @p4513 (forall (@list @t4884 @t51 @t8) (= @t5888 (forall @t7 (=> @t5272 @t4827))))) % 6.51/6.70 (assume @p4514 (forall @t905 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t8 (tptp.hAPP (tptp.hAPP @t4428 (tptp.hAPP @t3827 @t51)) @t289)) @t73)) (and (tptp.hBOOL (tptp.hAPP @t5887 @t73)) (tptp.hBOOL (tptp.hAPP @t5889 @t73)))))) % 6.51/6.70 (assume @p4515 (forall @t316 (= @t5890 (tptp.hAPP (tptp.hAPP @t5884 @t5887) @t5889)))) % 6.51/6.70 (assume @p4516 (forall (@list @t289 @t1468 @t51 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5887 @t1468)) (=> (tptp.hBOOL (tptp.hAPP @t5889 @t1468)) (tptp.hBOOL (tptp.hAPP @t5890 @t1468)))))) % 6.51/6.70 (assume @p4517 (forall (@list @t179 @t176 @t51 @t8) (= (tptp.hBOOL (tptp.hAPP @t5887 (tptp.hAPP @t5199 @t179))) (and (tptp.hBOOL (tptp.hAPP @t51 @t176)) (tptp.hBOOL (tptp.hAPP @t5887 @t179)))))) % 6.51/6.70 (assume @p4518 (forall @t316 (=> @t746 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5350 @t5887) @t5889))))) % 6.51/6.70 (assume @p4519 (forall @t406 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t8 @t3580) @t73)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5225 @t73) @t5348))))) % 6.51/6.70 (assume @p4520 (forall @t5822 (= @t5893 (and @t5121 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5892 @t5068)) @t5891)))))) % 6.51/6.70 (assume @p4521 (forall @t14 (=> @t484 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t13) (or @t5667 (exists (@list @t5233 @t3) (and (= @t13 @t5235) (forall @t2329 (=> (tptp.hBOOL (tptp.hAPP @t2328 (tptp.hAPP @t4903 @t5233))) @t5763)) (tptp.c_List_Olinorder__class_Osorted @t8 @t5233)))))))) % 6.51/6.70 (assume @p4522 (forall (@list @t4883 @t100 @t4884 @t73 @t117 @t74 @t8) (= (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t5190 @t5210) (and @t3073 @t5893)))) % 6.51/6.70 (assume @p4523 (forall (@list @t5351 @t5352 @t2 @t210 @t117 @t74 @t8) (= (tptp.c_List_Olist__all2 @t8 @t74 @t117 (tptp.hAPP @t5072 @t5352) @t5351) (tptp.c_List_Olist__all2 @t210 @t74 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t273 @t210) @t117) @t2) @t5352 @t5351)))) % 6.51/6.70 (assume @p4524 (forall (@list @t5351 @t2 @t210 @t5352 @t117 @t74 @t8) (= (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t5352 (tptp.hAPP @t4984 @t5351)) (tptp.c_List_Olist__all2 @t8 @t210 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4231 @t2190) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t273 (tptp.tc_fun @t4231 @t2190) @t8) (tptp.c_COMBB @t74 tptp.tc_HOL_Obool @t210)) @t117)) @t2) @t5352 @t5351)))) % 6.51/6.70 (assume @p4525 (forall @t5158 (= @t4885 (tptp.c_List_Olist__all2 @t8 @t8 tptp.c_fequal @t4884 @t4883)))) % 6.51/6.70 (assume @p4526 (forall @t5822 (=> @t5893 @t5121))) % 6.51/6.70 (assume @p4527 (forall (@list @t281 @t4883 @t4884 @t117 @t74 @t8) (=> @t5893 (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t5319 (tptp.hAPP @t5327 @t4883))))) % 6.51/6.70 (assume @p4528 (forall (@list @t281 @t5351 @t5352 @t117 @t74 @t8) (=> (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t5352 @t5351) (tptp.c_List_Olist__all2 @t8 @t74 @t117 (tptp.hAPP @t5590 @t5352) (tptp.hAPP @t5595 @t5351))))) % 6.51/6.70 (assume @p4529 (forall (@list @t4883 @t117 @t74 @t8) (= (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t5439 @t4883) (= @t4883 @t5456)))) % 6.51/6.70 (assume @p4530 (forall (@list @t4884 @t117 @t74 @t8) (= (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t4884 @t5456) @t5447))) % 6.51/6.70 (assume @p4531 (forall @t5822 (= (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t5793 @t5894) @t5893))) % 6.51/6.70 (assume @p4532 (forall @t5822 (= (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t5793 @t4883) (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t4884 @t5894)))) % 6.51/6.70 (assume @p4533 (forall (@list @t5561 @t5562 @t117 @t4883 @t74 @t4884 @t8) (=> @t5121 (= (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t5563 (tptp.hAPP @t5538 @t5561)) (and @t5893 (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t5562 @t5561)))))) % 6.51/6.70 (assume @p4534 (forall (@list @t60 @t18 @t58 @t13 @t117 @t74 @t8) (=> @t5895 (=> (tptp.c_List_Olist__all2 @t8 @t74 @t117 @t18 @t60) (tptp.c_List_Olist__all2 @t8 @t74 @t117 (tptp.hAPP (tptp.hAPP @t5508 @t13) @t18) (tptp.hAPP (tptp.hAPP @t5535 @t58) @t60)))))) % 6.51/6.70 (assume @p4535 (forall @t5822 (= @t5893 (and @t5121 (forall @t1336 (=> @t5265 (tptp.hBOOL (tptp.hAPP @t5268 (tptp.hAPP @t5254 @t1332))))))))) % 6.51/6.70 (assume @p4536 (forall @t5898 (=> @t5893 (=> (tptp.hBOOL (tptp.hAPP @t5897 @t5092)) @t5896)))) % 6.51/6.70 (assume @p4537 (forall @t5898 (=> @t5893 (=> (tptp.hBOOL (tptp.hAPP @t5897 @t5120)) @t5896)))) % 6.51/6.70 (assume @p4538 (forall (@list @t100 @t73 @t4883 @t117 @t74 @t4884 @t8 @t638) (=> @t5282 (=> @t5893 (=> @t3073 @t5899))))) % 6.51/6.70 (assume @p4539 (forall (@list @t638 @t100 @t73 @t4883 @t4884 @t117 @t74 @t8) (=> @t5893 (=> @t3073 (=> @t5361 @t5899))))) % 6.51/6.70 (assume @p4540 (forall (@list @t117 @t58 @t13 @t74 @t8) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5892 (tptp.hAPP @t4918 (tptp.hAPP (tptp.hAPP @t5036 @t13) @t58)))) @t5891)) (=> @t5901 @t5895)))) % 6.51/6.70 (assume @p4541 (forall (@list @t73 @t117 @t4884 @t8) (=> @t5271 (=> @t5039 @t133)))) % 6.51/6.70 (assume @p4542 (forall @t5751 (=> (tptp.c_Fun_Oinj__on @t8 @t74 @t2 @t5116) @t5904))) % 6.51/6.70 (assume @p4543 (forall @t5053 @t5906)) % 6.51/6.70 (assume @p4544 (forall @t5208 (and (=> @t489 (= @t5909 @t5908)) (=> @t495 (= @t5909 (tptp.hAPP @t5205 @t5908)))))) % 6.51/6.70 (assume @p4545 (forall @t5051 (=> @t5048 (tptp.hBOOL (tptp.hAPP @t4933 @t5910))))) % 6.51/6.70 (assume @p4546 (forall @t5051 (=> @t5048 (tptp.hBOOL (tptp.hAPP @t4933 @t5908))))) % 6.51/6.70 (assume @p4547 (forall @t5194 (= (tptp.c_List_Oinsert @t8 @t95 @t5829) (tptp.c_List_Oremdups @t8 @t5910)))) % 6.51/6.70 (assume @p4548 (forall @t89 (= @t5902 (tptp.c_List_Ofilter @t8 (tptp.hAPP @t4614 @t4419))))) % 6.51/6.70 (assume @p4549 (forall @t5675 (=> @t5674 (= (tptp.hAPP @t5902 @t5672) @t5672)))) % 6.51/6.70 (assume @p4550 (forall @t97 (= (tptp.hAPP @t5907 @t5439) @t5439))) % 6.51/6.70 (assume @p4551 (forall @t5549 (= (tptp.hAPP @t5907 @t5525) (tptp.hAPP (tptp.hAPP @t5508 @t5908) (tptp.hAPP @t5907 @t5043))))) % 6.51/6.70 (assume @p4552 (forall @t5053 (=> @t5040 (= @t5903 @t4884)))) % 6.51/6.70 (assume @p4553 (forall @t5051 (=> @t5048 (= @t5050 @t5908)))) % 6.51/6.70 (assume @p4554 (forall @t5053 @t5911)) % 6.51/6.70 (assume @p4555 (forall @t5053 (= (tptp.hAPP @t4903 @t5905) @t5116))) % 6.51/6.70 (assume @p4556 (forall @t97 (= (tptp.c_List_Oinsert @t8 @t95 @t5439) @t5469))) % 6.51/6.70 (assume @p4557 (forall @t5751 (=> @t4207 @t5904))) % 6.51/6.70 (assume @p4558 (forall @t5053 (= (tptp.hAPP @t4903 @t5903) @t5031))) % 6.51/6.70 (assume @p4559 (forall @t5053 (and @t5911 @t5906))) % 6.51/6.70 (assume @p4560 (forall @t5422 (= @t5913 @t5912))) % 6.51/6.70 (assume @p4561 (forall @t4908 (= @t5912 @t5913))) % 6.51/6.70 (assume @p4562 (forall @t1107 (= (tptp.c_List_Omaps @t74 @t8 @t2 @t5456) @t5439))) % 6.51/6.70 (assume @p4563 (forall @t5112 (= (tptp.c_List_Omaps @t74 @t8 @t2 @t5203) (tptp.hAPP (tptp.hAPP @t5508 @t115) @t5913)))) % 6.51/6.70 (assume @p4564 (forall @t4898 (=> (tptp.hBOOL (tptp.hAPP @t5846 @t4884)) (=> (forall @t5919 (=> @t5918 (tptp.hBOOL (tptp.hAPP @t4933 @t5236)))) (=> (forall @t5919 (=> @t5918 (forall @t5917 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5225 @t5914) @t5705)) (=> (not (= @t5236 @t5914)) (= (tptp.hAPP (tptp.hAPP @t3864 @t5916) @t5915) @t56)))))) (tptp.hBOOL (tptp.hAPP @t4933 @t5796))))))) % 6.51/6.70 (assume @p4565 (forall @t5925 (=> @t3282 (=> @t5924 @t5922)))) % 6.51/6.70 (assume @p4566 (forall @t5926 (tptp.c_Wellfounded_Owf @t8 @t5923))) % 6.51/6.70 (assume @p4567 (forall @t485 (not (tptp.hBOOL (tptp.hAPP @t3246 (tptp.c_List_Omeasures @t8 (tptp.c_List_Olist_ONil @t5921))))))) % 6.51/6.70 (assume @p4568 (forall @t5926 (= @t5923 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5389 @t8) (tptp.c_List_Olex tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5927 @t5389) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5921 tptp.tc_Nat_Onat) (tptp.tc_fun @t5927 @t5389) @t8) (tptp.c_List_Omap @t5921 tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBC @t5921 @t8 tptp.tc_Nat_Onat) (tptp.c_COMBI @t5921)))) @t5920))))) % 6.51/6.70 (assume @p4569 (forall @t5925 (=> @t3242 @t5922))) % 6.51/6.70 (assume @p4570 (forall (@list @t5920 @t2 @t100 @t73 @t8) (= @t5922 (or @t3242 (and @t4045 @t5924))))) % 6.51/6.70 (assume @p4571 (forall (@list @t428 @t1 @t1096 @t2 @t74 @t210 @t4884 @t8) (=> (forall @t7 (=> @t5272 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t210 @t210 @t74 @t5) @t1096) (tptp.hAPP (tptp.c_Fun_Ocomp @t74 @t210 @t74 @t1096) @t4)))) (= (tptp.hAPP (tptp.c_List_Ofoldl @t210 @t8 (tptp.hAPP (tptp.c_COMBC @t8 @t210 @t210) @t2) (tptp.hAPP @t1096 @t428)) @t4884) (tptp.hAPP @t1096 (tptp.hAPP (tptp.c_List_Ofoldl @t74 @t8 (tptp.hAPP @t2909 @t1) @t428) @t4884)))))) % 6.51/6.70 (assume @p4572 (forall (@list @t117 @t4883 @t74 @t4884 @t8) (=> (=> (= (tptp.hAPP @t5087 @t5929) (tptp.hAPP @t5085 @t5928)) (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP (tptp.hAPP @t5036 @t5929) @t5928)))) (tptp.hBOOL (tptp.hAPP @t117 @t5067))))) % 6.51/6.70 (assume @p4573 (forall @t4924 (=> (= @t5930 (tptp.hAPP @t4903 @t4939)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 @t5930)) (= (tptp.hAPP @t4922 @t3) (tptp.hAPP @t4921 @t3)))) @t4923)))) % 6.51/6.70 (assume @p4574 (forall (@list @t205 @t1324) (=> (forall @t7 (=> @t2645 (tptp.hBOOL (tptp.hAPP @t946 @t3)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3605 @t205) @t1324)))) % 6.51/6.70 (assume @p4575 (forall (@list @t8 @t2917 @t74) (=> (forall @t1336 (tptp.c_Wellfounded_OwfP @t74 @t5932)) (=> (forall @t2587 (=> (not (= @t5932 @t5931)) (= (tptp.hAPP (tptp.hAPP @t3950 (tptp.c_Predicate_ODomainP @t74 @t74 @t5932)) (tptp.c_Predicate_ORangeP @t74 @t74 @t5931)) @t386))) (tptp.c_Wellfounded_OwfP @t74 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 (tptp.tc_fun @t74 @t273)) @t4202) @t2917)))))) % 6.51/6.70 (assume @p4576 (forall @t5933 (=> @t5273 (= @t5842 (tptp.c_List_OdropWhile @t8 @t117 @t4883))))) % 6.51/6.70 (assume @p4577 (forall (@list @t117 @t58 @t74 @t13 @t8) (=> @t5901 (=> (forall @t430 (=> (tptp.hBOOL (tptp.hAPP @t5298 @t5900)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t117 (tptp.hAPP (tptp.hAPP @t5255 @t13) @t427)) (tptp.hAPP (tptp.hAPP @t5253 @t58) @t427))))) @t5895)))) % 6.51/6.70 (assume @p4578 (forall @t1588 (=> (tptp.hBOOL (tptp.hAPP @t182 @t1587)) (=> (not @t4216) (exists @t7 (= @t5 @t159)))))) % 6.51/6.70 (assume @p4579 (forall (@list @t18 @t261 @t210 @t74 @t8 @t3161) (=> (forall @t3156 (=> (= @t3161 @t3155) (tptp.hBOOL (tptp.hAPP @t5934 (tptp.hAPP (tptp.hAPP @t18 @t268) @t1302))))) (tptp.hBOOL (tptp.hAPP @t5934 (tptp.hAPP (tptp.hAPP @t3138 @t18) @t3161)))))) % 6.51/6.70 (assume @p4580 (forall (@list @t3161 @t18 @t210 @t74 @t261 @t8) (=> (tptp.hBOOL (tptp.hAPP @t1104 (tptp.hAPP @t3136 @t3161))) (not (forall @t396 (=> (= @t3161 (tptp.hAPP (tptp.hAPP @t3134 @t3) @t43)) (not (tptp.hBOOL (tptp.hAPP @t1104 (tptp.hAPP (tptp.hAPP @t18 @t3) @t43)))))))))) % 6.51/6.70 (assume @p4581 (forall @t243 (=> @t484 (=> @t184 (exists @t7 (and (= (tptp.hAPP @t4903 @t3) @t51) (tptp.c_List_Olinorder__class_Osorted @t8 @t3) (tptp.hBOOL (tptp.hAPP @t4933 @t3)) (forall @t45 (=> (and (= (tptp.hAPP @t4903 @t43) @t51) (tptp.c_List_Olinorder__class_Osorted @t8 @t43) (tptp.hBOOL (tptp.hAPP @t4933 @t43))) @t4232)))))))) % 6.51/6.70 (assume @p4582 (forall (@list @t281 @t51 @t2 @t8) (=> (= @t3727 @t282) (exists @t7 (and @t363 @t3005))))) % 6.51/6.70 (assume @p4583 (forall (@list @t284 @t336 @t95) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t95 @t336) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t284 @t336)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t284) @t95)) (exists @t2574 (= @t95 (tptp.hAPP @t575 (tptp.hAPP @t919 @t2573)))))))) % 6.51/6.70 (assume @p4584 (forall @t5933 (=> @t5273 (= @t5825 (tptp.hAPP @t5509 (tptp.c_List_OtakeWhile @t8 @t117 @t4883)))))) % 6.51/6.70 (assume @p4585 (forall (@list @t13 @t2 @t4884 @t8 @t74) (=> @t5111 (=> (forall @t7 (=> @t5272 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t818 @t530) @t5)))) (= @t5461 (tptp.hAPP @t5196 @t4884)))))) % 6.51/6.70 (assume @p4586 (forall @t4326 (=> (forall @t272 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t266) (tptp.hAPP @t4804 @t266))) (= @t266 @t56))) @t4779))) % 6.51/6.70 (assume @p4587 (forall (@list @t4884 @t73 @t4883 @t117 @t8) (= (= @t5685 @t5190) @t5935))) % 6.51/6.70 (assume @p4588 (forall @t5826 (= (= @t5190 @t5685) @t5935))) % 6.51/6.70 (assume @p4589 (forall (@list @t454 @t289 @t74 @t721 @t51 @t8) (=> @t835 (=> (forall @t7 (=> @t363 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t997 @t2209) (tptp.hAPP @t454 @t3))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2948 @t4468) (tptp.hAPP (tptp.hAPP @t4462 @t721) @t454))))))) % 6.51/6.70 (assume @p4590 (forall @t3834 (=> (forall @t45 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t5936 @t73)) @t2917)) (tptp.hBOOL (tptp.hAPP @t4005 @t4328)))) @t4329))) % 6.51/6.70 (assume @p4591 (forall @t5939 (=> (not (tptp.hBOOL (tptp.hAPP @t283 @t5937))) (not (forall @t4120 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t5938 @t73)) @t201)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t4119) @t5937)))))))) % 6.51/6.70 (assume @p4592 (forall (@list @t2 @t1791 @t8 @t74) (=> @t2916 (=> @t2151 (=> (forall @t7 (=> @t3006 @t3490)) (= @t4090 @t2986)))))) % 6.51/6.70 (assume @p4593 (forall @t5883 (=> @t5276 (=> @t5273 @t5882)))) % 6.51/6.70 (assume @p4594 (forall (@list @t201 @t179 @t176 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3293 (tptp.hAPP (tptp.hAPP @t3291 @t176) @t179)) @t3460)) (and @t4373 @t4372 @t4371 (forall @t7 (=> @t4370 (exists @t2329 (and @t4369 @t4376)))))))) % 6.51/6.70 (assume @p4595 (forall @t5940 (=> @t484 (=> @t184 (=> @t4389 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP (tptp.hAPP @t2096 @t18) @t51)) (tptp.hAPP (tptp.hAPP @t2069 @t58) @t18)))))))) % 6.51/6.70 (assume @p4596 (forall @t5940 (=> @t484 (=> @t184 (=> @t4337 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP @t3966 @t18)) (tptp.hAPP (tptp.hAPP @t2038 @t18) @t51)))))))) % 6.51/6.70 (assume @p4597 (forall (@list @t638 @t117 @t3161) (=> (forall @t1336 (=> (tptp.hBOOL (tptp.hAPP @t4414 @t3161)) (=> @t1334 (tptp.hBOOL (tptp.hAPP @t117 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4803 @t3161)))))) (=> (tptp.hBOOL (tptp.hAPP @t117 @t638)) (=> (tptp.hBOOL (tptp.hAPP @t643 @t3161)) @t1288))))) % 6.51/6.70 (assume @p4598 (forall @t5035 (=> @t484 (=> @t5761 (=> @t5749 @t5762))))) % 6.51/6.70 (assume @p4599 (forall @t4392 (=> (forall @t4402 (=> @t5942 @t5941)) @t4336))) % 6.51/6.70 (assume @p4600 (forall (@list @t261 @t1096 @t1 @t51 @t8 @t74) (=> @t4074 (=> @t184 (=> (forall @t7 (=> @t363 (= @t4 @t1330))) (= @t4072 (tptp.hAPP (tptp.hAPP @t4070 @t261) @t51))))))) % 6.51/6.70 (assume @p4601 (forall @t406 (=> @t484 (=> @t184 (=> (forall @t45 (=> @t4006 (tptp.hBOOL (tptp.hAPP @t838 @t43)))) (=> @t323 @t2054)))))) % 6.51/6.70 (assume @p4602 (forall @t406 (=> @t484 (=> @t184 (=> (forall @t45 (=> @t4006 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 @t43) @t73)))) (=> @t323 @t2125)))))) % 6.51/6.70 (assume @p4603 (forall @t5940 (=> @t3874 (=> @t184 (=> @t4337 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP (tptp.hAPP @t3869 @t58) @t18)) (tptp.hAPP (tptp.hAPP @t3962 @t18) @t51)))))))) % 6.51/6.70 (assume @p4604 (forall @t5940 (=> @t1686 (=> @t184 (=> @t4389 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP (tptp.hAPP @t1770 @t18) @t51)) (tptp.hAPP (tptp.hAPP @t1677 @t58) @t18)))))))) % 6.51/6.70 (assume @p4605 (forall (@list @t2 @t2917 @t8) (=> @t4781 (not (forall @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3085 (tptp.hAPP @t2 (tptp.hAPP tptp.c_Nat_OSuc @t631))) (tptp.hAPP @t2 @t631))) @t2917))))))) % 6.51/6.70 (assume @p4606 (forall @t5678 (= @t5944 (exists @t430 (and @t5299 @t5943))))) % 6.51/6.70 (assume @p4607 (forall @t4617 (not (tptp.c_List_Olist__ex @t8 @t117 @t5439)))) % 6.51/6.70 (assume @p4608 (forall @t5678 (= @t5944 (exists @t7 (and @t5272 @t135))))) % 6.51/6.70 (assume @p4609 (forall @t5678 (= (tptp.c_List_Olist__ex @t8 @t117 @t5793) @t5944))) % 6.51/6.70 (assume @p4610 (forall @t5686 (= (tptp.c_List_Olist__ex @t8 @t117 @t5522) (or @t5944 (tptp.c_List_Olist__ex @t8 @t117 @t4883))))) % 6.51/6.70 (assume @p4611 (forall @t5479 (= (tptp.c_List_Olist__ex @t8 @t117 @t5190) (or @t133 @t5944)))) % 6.51/6.70 (assume @p4612 (forall @t4997 (=> @t4544 (=> @t4042 (=> @t4996 (=> (forall @t271 (=> @t1075 (= (tptp.hAPP @t1 @t268) (tptp.hAPP @t1096 (tptp.hAPP @t2 @t268))))) (= (tptp.hAPP @t4992 @t289) (tptp.hAPP (tptp.hAPP @t4543 @t1) @t51)))))))) % 6.51/6.70 (assume @p4613 (forall @t5946 (= @t5945 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t4185 @t115)) (tptp.hAPP @t4183 @t115))))) % 6.51/6.70 (assume @p4614 (forall @t5946 (= @t5945 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t210 @t3169 @t8) @t1) @t115)))) % 6.51/6.70 (assume @p4615 (forall (@list @t73 @t210 @t74 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t74 @t210 @t3168) @t73) @t3134) @t73))) % 6.51/6.70 (assume @p4616 (forall (@list @t2 @t73 @t74 @t210 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t210 @t8 @t74) (tptp.hAPP (tptp.c_Product__Type_OPair @t210 @t8) @t73)) @t2) @t115))) % 6.51/6.70 (assume @p4617 (forall (@list @t1096 @t1 @t2 @t4962 @t3167 @t74 @t3169 @t210 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t210 @t3169 @t74) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t3167 @t4962 @t4525) @t2) @t1)) @t1096) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t3167 @t4962 @t74) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3167 @t5948 @t5947) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t4962 @t4525) (tptp.tc_fun @t5948 @t5947) @t3167) (tptp.c_Product__Type_Oscomp @t4962 @t210 @t3169 @t74)) @t1)) @t1096))))) % 6.51/6.70 (assume @p4618 (forall @t5501 (and (=> @t5499 (= @t5949 @t3263)) (=> @t5500 (= @t5949 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t74 @t8 @t3674) @t115) (tptp.c_Random_Oiterate @t74 @t8 @t5490 @t2))))))) % 6.51/6.70 (assume @p4619 (forall (@list @t1 @t2 @t60 @t58 @t18 @t13 @t8 @t74) (=> (and @t3744 @t507) (=> @t62 (=> @t61 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t890 @t3)) (=> (tptp.hBOOL (tptp.hAPP @t2048 @t60)) @t6))) (= (tptp.hAPP @t3745 @t3616) (tptp.hAPP @t3741 @t3615)))))))) % 6.51/6.70 (assume @p4620 (forall (@list @t592 @t39) (and (=> @t5955 (= @t5951 @t2841)) (=> (not @t5955) (= @t5951 (tptp.hAPP (tptp.hAPP @t5950 @t2841) (tptp.c_Random_Olog @t39 (tptp.hAPP (tptp.hAPP @t2830 @t592) @t39)))))))) % 6.51/6.70 (assume @p4621 (forall (@list @t1232 @t556 @t561) (and (=> @t5957 (= @t5956 (tptp.hAPP (tptp.hAPP @t2842 (tptp.hAPP (tptp.hAPP @t5950 @t1232) @t561)) @t556))) (=> (not @t5957) (= @t5956 (tptp.hAPP (tptp.hAPP @t2842 @t561) @t556)))))) % 6.51/6.70 (assume @p4622 (forall (@list @t561 @t1079) (and (=> @t5959 (= @t5958 @t2841)) (=> (not @t5959) (= @t5958 (tptp.hAPP (tptp.hAPP @t5950 @t561) @t2841)))))) % 6.51/6.70 (assume @p4623 (forall (@list @t428 @t8 @t4884) (=> @t5468 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t5962 (tptp.hAPP @t5960 @t428))) @t4904))))) % 6.51/6.70 (assume @p4624 (forall @t5690 (=> (tptp.hBOOL (tptp.hAPP @t5969 @t5968)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t5962 (tptp.hAPP @t5966 @t428))) @t5965))))) % 6.51/6.70 (assume @p4625 (forall @t5624 (=> @t5468 (= (tptp.c_Random_Oselect__weight @t8 @t5971) @t5960)))) % 6.51/6.70 (assume @p4626 (forall @t5053 (= (tptp.c_Random_Oselect__weight @t8 (tptp.hAPP (tptp.hAPP @t5972 (tptp.hAPP (tptp.hAPP @t5970 @t2833) @t73)) @t4884)) @t5966))) % 6.51/6.70 (assume @p4627 (forall @t4898 (= (tptp.c_Random_Oselect__weight @t8 @t5973) @t5966))) % 6.51/6.70 (assume @p4628 (forall @t5727 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5952 @t638) @t5968)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t5974 @t638)) @t5965))))) % 6.51/6.70 (assume @p4629 (forall (@list @t5044 @t95 @t8 @t592) (and (=> @t5977 (= @t5976 (tptp.hAPP @t5963 @t95))) (=> (not @t5977) (= @t5976 (tptp.hAPP (tptp.c_Random_Opick @t8 @t5044) (tptp.hAPP @t2873 @t5975))))))) % 6.51/6.70 (assume @p4630 (forall @t4898 (= (tptp.c_Random_Opick @t8 @t5973) @t5974))) % 6.51/6.70 (assume @p4631 (forall @t4898 (= @t5966 (tptp.hAPP (tptp.hAPP @t5980 (tptp.c_Random_Orange @t5968)) (tptp.hAPP @t5979 @t5974))))) % 6.51/6.70 (assume @p4632 (forall (@list @t4884 @t8 @t1468) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t1468) @t5092)) (= (tptp.hAPP (tptp.c_Random_Opick @t8 @t5971) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1468)) (tptp.hAPP @t5256 @t1468))))) % 6.51/6.70 (assume @p4633 (forall @t1913 (=> (tptp.hBOOL (tptp.hAPP @t2340 @t4203)) (=> @t5982 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t73) @t5981) @t328))))) % 6.51/6.70 (assume @p4634 (= @t2841 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t467))) % 6.51/6.70 (assume @p4635 (= @t2833 @t5983)) % 6.51/6.70 (assume @p4636 (forall @t618 (= (tptp.hAPP (tptp.hAPP @t5986 @t5985) @t5984) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1030)))) % 6.51/6.70 (assume @p4637 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 6.51/6.70 (assume @p4638 (forall @t672 (= (= @t5988 @t5987) @t669))) % 6.51/6.70 (assume @p4639 (= @t2828 (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_Nat_Onat tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Int_Oint tptp.c_Code__Numeral_Oof__nat) tptp.c_Int_Onat))) % 6.51/6.70 (assume @p4640 (forall @t618 (= (tptp.hAPP (tptp.hAPP @t5950 @t5985) @t5984) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t571)))) % 6.51/6.70 (assume @p4641 (forall @t672 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5952 @t5988) @t5987)) @t656))) % 6.51/6.70 (assume @p4642 (forall @t672 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5954 @t5988) @t5987)) @t927))) % 6.51/6.70 (assume @p4643 (forall @t1930 (= (not (= @t638 @t5983)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5954 @t2841) @t638))))) % 6.51/6.70 (assume @p4644 (forall (@list @t279 @t561) (=> (tptp.hBOOL (tptp.hAPP @t5969 @t561)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5952 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t5961) (tptp.hAPP (tptp.c_Random_Orange @t561) @t279))) @t561))))) % 6.51/6.70 (assume @p4645 (forall @t4898 (= @t5960 (tptp.hAPP (tptp.hAPP @t5980 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5092))) (tptp.hAPP @t5979 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Code__Numeral_Ocode__numeral) @t5256) tptp.c_Code__Numeral_Onat__of)))))) % 6.51/6.70 (assume @p4646 (forall @t618 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t5985) @t5984) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1150)))) % 6.51/6.70 (assume @p4647 (tptp.c_Typedef_Otype__definition tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Nat_Onat tptp.c_Code__Numeral_Onat__of tptp.c_Code__Numeral_Oof__nat @t4203)) % 6.51/6.70 (assume @p4648 (forall @t550 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5985) @t336))) % 6.51/6.70 (assume @p4649 (forall @t1512 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5989) @t561))) % 6.51/6.70 (assume @p4650 (forall @t1509 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t95)) @t95))) % 6.51/6.70 (assume @p4651 (forall @t618 (= (tptp.hAPP (tptp.hAPP @t5986 @t336) @t521) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t855 @t5991) @t5990))))) % 6.51/6.70 (assume @p4652 (forall @t672 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5952 @t281) @t378)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 @t5993) @t5992))))) % 6.51/6.70 (assume @p4653 (= tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_Nat_Onat tptp.tc_Int_Oint tptp.tc_Code__Numeral_Ocode__numeral @t2195) tptp.c_Code__Numeral_Onat__of))) % 6.51/6.70 (assume @p4654 (forall @t1512 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t2828 @t561)) (tptp.hAPP @t1354 @t561)))) % 6.51/6.70 (assume @p4655 (forall @t1913 (= (= @t5994 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t100)) @t328))) % 6.51/6.70 (assume @p4656 (forall @t1473 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t205) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1468)) @t2202))) % 6.51/6.70 (assume @p4657 (forall @t1828 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2339 @t5994) @t4203)))) % 6.51/6.70 (assume @p4658 (forall @t672 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5954 @t281) @t378)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t5993) @t5992))))) % 6.51/6.70 (assume @p4659 (forall @t1484 (= @t5995 (tptp.c_Code__Numeral_Onat__of__aux @t592 @t1074)))) % 6.51/6.70 (assume @p4660 (forall @t941 (= @t2874 (tptp.hAPP (tptp.hAPP @t553 @t5995) @t336)))) % 6.51/6.70 (assume @p4661 (forall @t1512 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t561) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t5989))))) % 6.51/6.70 (assume @p4662 (forall @t618 (= @t5996 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t468 @t5991) @t5990))))) % 6.51/6.70 (assume @p4663 (forall @t4466 (=> @t5982 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5981) @t100)))) % 6.51/6.70 (assume @p4664 (forall @t618 (= (tptp.hAPP (tptp.hAPP @t5950 @t336) @t521) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t553 @t5991) @t5990))))) % 6.51/6.70 (assume @p4665 (forall @t618 (= @t3084 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t2661 @t5991) @t5990))))) % 6.51/6.70 (assume @p4666 (forall @t618 (= @t5996 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t336) @t521)))) % 6.51/6.70 (assume @p4667 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t2842)) % 6.51/6.70 (assume @p4668 (forall @t618 (= @t3083 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t5991 @t5990))))) % 6.51/6.70 (assume @p4669 (forall @t1512 (=> (not (= @t561 @t5983)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t472 (tptp.hAPP (tptp.hAPP @t468 @t5989) @t1239)) @t5989))))) % 6.51/6.70 (assume @p4670 (forall (@list @t638 @t5997) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t5997) @t638) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t5997 (tptp.hAPP (tptp.hAPP @t5986 (tptp.hAPP @t2828 @t2226)) @t638)))))) % 6.51/6.70 (assume @p4671 (forall @t634 (= (tptp.hBOOL (tptp.hAPP @t5999 @t5998)) @t601))) % 6.51/6.70 (assume @p4672 (= tptp.c_Wellfounded_Oless__than @t5998)) % 6.51/6.70 (assume @p4673 (forall @t3091 (=> @t4781 (tptp.c_Wellfounded_Owf @t8 @t6000)))) % 6.51/6.70 (assume @p4674 (forall @t3091 (= @t4825 @t6001))) % 6.51/6.70 (assume @p4675 (forall @t3595 (=> @t3835 @t6002))) % 6.51/6.70 (assume @p4676 (forall @t3091 (tptp.hBOOL (tptp.hAPP @t6003 (tptp.hAPP (tptp.hAPP @t4504 @t3592) (tptp.hAPP @t4503 @t3592)))))) % 6.51/6.70 (assume @p4677 (forall @t6007 (=> @t6006 @t6005))) % 6.51/6.70 (assume @p4678 (forall @t150 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t3070) @t3070))) % 6.51/6.70 (assume @p4679 (forall @t3091 (= (tptp.hAPP @t4790 @t6000) @t4793))) % 6.51/6.70 (assume @p4680 (forall @t3091 (= (tptp.hAPP @t4749 @t6000) @t4811))) % 6.51/6.70 (assume @p4681 (forall @t3091 (= (tptp.hBOOL (tptp.hAPP @t3603 @t6000)) @t3604))) % 6.51/6.70 (assume @p4682 (forall (@list @t18 @t201 @t58 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3832 @t201)) (=> (tptp.hBOOL (tptp.hAPP @t6011 @t201)) (tptp.hBOOL (tptp.hAPP @t6009 @t6008)))))) % 6.51/6.70 (assume @p4683 (forall @t6014 (=> @t3835 @t6013))) % 6.51/6.70 (assume @p4684 (forall @t6014 (=> @t6002 @t6016))) % 6.51/6.70 (assume @p4685 (forall @t6014 (=> @t6002 @t6013))) % 6.51/6.70 (assume @p4686 (forall (@list @t428 @t2917 @t3161 @t8) (=> @t6005 (=> @t3598 (tptp.hBOOL (tptp.hAPP @t6004 (tptp.c_Transitive__Closure_Otrancl @t8 @t428))))))) % 6.51/6.70 (assume @p4687 (forall @t3091 (= @t6000 (tptp.hAPP @t3601 (tptp.hAPP (tptp.hAPP @t4755 @t6000) @t2917))))) % 6.51/6.70 (assume @p4688 (forall @t4577 (=> @t4506 (tptp.hBOOL (tptp.hAPP @t6003 @t4505))))) % 6.51/6.70 (assume @p4689 (forall @t3599 (=> @t3598 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3069 (tptp.hAPP (tptp.hAPP @t4755 (tptp.hAPP (tptp.hAPP @t4573 @t6000) @t428)) @t2917)) @t428)) (tptp.hBOOL (tptp.hAPP @t6003 @t428)))))) % 6.51/6.70 (assume @p4690 (forall @t6021 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t6020) (tptp.hAPP @t6018 (tptp.hAPP @t4699 (tptp.hAPP @t3830 (tptp.hAPP (tptp.hAPP @t1576 (tptp.hAPP @t4656 (tptp.hAPP @t3827 (tptp.hAPP (tptp.hAPP @t3465 (tptp.hAPP @t3462 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t8 @t3067) @t3085) @t100))) @t6017)))) (tptp.hAPP (tptp.hAPP @t3465 (tptp.hAPP @t3462 @t3245)) @t6017)))))))) % 6.51/6.70 (assume @p4691 (forall @t5376 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3152) @t4330) tptp.c_fequal) @t73) @t100)) (tptp.hBOOL (tptp.hAPP @t3246 @t6023))))) % 6.51/6.70 (assume @p4692 (forall @t6007 (=> @t6006 (tptp.hBOOL (tptp.hAPP @t6004 @t6017))))) % 6.51/6.70 (assume @p4693 (forall @t4353 (tptp.hBOOL (tptp.hAPP @t4575 @t6017)))) % 6.51/6.70 (assume @p4694 (forall @t14 (tptp.hBOOL (tptp.hAPP @t4575 @t6022)))) % 6.51/6.70 (assume @p4695 (forall @t3595 (=> @t6002 @t6024))) % 6.51/6.70 (assume @p4696 (forall @t5374 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5094 @t4884)) @t6025)))) % 6.51/6.70 (assume @p4697 (forall @t3091 (= @t6000 @t6026))) % 6.51/6.70 (assume @p4698 (forall @t3091 (= @t6000 @t6027))) % 6.51/6.70 (assume @p4699 (forall @t3091 (= (tptp.hAPP @t6018 @t6022) @t6017))) % 6.51/6.70 (assume @p4700 (forall @t3091 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t6023) @t6017))) % 6.51/6.70 (assume @p4701 (forall @t4326 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t6008) @t6028))) % 6.51/6.70 (assume @p4702 (forall @t4326 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t6028) @t6028))) % 6.51/6.70 (assume @p4703 (forall (@list @t261 @t2917 @t100 @t73 @t8) (=> @t6030 (=> (tptp.hBOOL (tptp.hAPP @t3999 @t6000)) (tptp.hBOOL (tptp.hAPP @t6029 @t6000)))))) % 6.51/6.70 (assume @p4704 (forall @t6014 (=> @t6002 @t6032))) % 6.51/6.70 (assume @p4705 (forall @t6014 (=> @t6024 @t6016))) % 6.51/6.70 (assume @p4706 (forall (@list @t201 @t58 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3832 @t6028)) (or @t69 (and @t300 (tptp.hBOOL (tptp.hAPP @t3832 @t6008))))))) % 6.51/6.70 (assume @p4707 (forall @t6014 (=> @t3835 @t6032))) % 6.51/6.70 (assume @p4708 (forall @t6035 (= @t6034 (or @t328 (and @t483 @t6033))))) % 6.51/6.70 (assume @p4709 (forall @t6014 (=> @t3835 @t6037))) % 6.51/6.70 (assume @p4710 (forall @t6014 (=> @t6024 (=> @t6015 @t6036)))) % 6.51/6.70 (assume @p4711 (forall @t6014 (=> @t6024 @t6037))) % 6.51/6.70 (assume @p4712 (forall @t3599 (=> @t3598 @t6040))) % 6.51/6.70 (assume @p4713 (forall @t1796 (=> (tptp.hBOOL (tptp.hAPP @t4810 @t1791)) (=> (tptp.hBOOL (tptp.hAPP @t4809 @t6028)) (= @t6041 @t6028))))) % 6.51/6.70 (assume @p4714 (forall @t3599 (=> (tptp.hBOOL (tptp.hAPP @t3597 @t6038)) @t6040))) % 6.51/6.70 (assume @p4715 (forall @t1796 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3069 @t6044) @t6042)))) % 6.51/6.70 (assume @p4716 (forall (@list @t138 @t2917 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 (tptp.hAPP @t3815 @t138)) @t138)) (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t6017) @t138) @t138)))) % 6.51/6.70 (assume @p4717 (forall @t4826 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3069 @t6022) @t428)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3069 (tptp.hAPP (tptp.hAPP @t4755 (tptp.hAPP (tptp.hAPP @t4573 @t6017) @t428)) @t2917)) @t428)) (tptp.hBOOL (tptp.hAPP @t6039 @t428)))))) % 6.51/6.70 (assume @p4718 (forall @t3091 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t6017) @t6017))) % 6.51/6.70 (assume @p4719 (forall @t3091 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t6045) @t6017))) % 6.51/6.70 (assume @p4720 (forall @t4326 (= (tptp.c_Transitive__Closure_Ortrancl @t8 (tptp.hAPP @t4794 @t6022)) @t6028))) % 6.51/6.70 (assume @p4721 (forall @t1796 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t6044) @t6042))) % 6.51/6.70 (assume @p4722 (forall @t4326 (= (tptp.hAPP @t6043 @t6022) @t6028))) % 6.51/6.70 (assume @p4723 (forall @t3091 (= @t6017 (tptp.hAPP (tptp.hAPP @t3600 @t6022) @t6026)))) % 6.51/6.70 (assume @p4724 (forall @t3091 (= @t6027 @t6026))) % 6.51/6.70 (assume @p4725 (forall @t4326 (= (tptp.hAPP (tptp.hAPP @t4755 @t6028) @t6028) @t6028))) % 6.51/6.70 (assume @p4726 (forall @t4326 (= (tptp.hAPP @t4749 @t6028) @t4202))) % 6.51/6.70 (assume @p4727 (forall @t4326 (= (tptp.hAPP @t4790 @t6028) @t4202))) % 6.51/6.70 (assume @p4728 (forall (@list @t1791 @t201 @t73 @t8) (=> (or (tptp.hBOOL (tptp.hAPP @t6046 @t6028)) (tptp.hBOOL (tptp.hAPP @t6046 @t6041))) (tptp.hBOOL (tptp.hAPP @t6046 @t6042))))) % 6.51/6.70 (assume @p4729 (forall @t150 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t3070) @t6022))) % 6.51/6.70 (assume @p4730 (forall @t3091 (tptp.c_Relation_Orefl__on @t8 @t4202 @t6017))) % 6.51/6.70 (assume @p4731 (forall @t150 (= (tptp.hAPP @t4749 @t6022) @t4202))) % 6.51/6.70 (assume @p4732 (forall @t150 (tptp.c_Relation_Orefl__on @t8 @t4202 @t6022))) % 6.51/6.70 (assume @p4733 (forall @t150 (= (tptp.hAPP @t4790 @t6022) @t4202))) % 6.51/6.70 (assume @p4734 (forall @t3091 (= @t6025 @t6047))) % 6.51/6.70 (assume @p4735 (forall @t243 (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t6022) @t51) @t51))) % 6.51/6.70 (assume @p4736 (forall @t4802 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t8 @t74) @t6022) @t201) @t201))) % 6.51/6.70 (assume @p4737 (forall @t4802 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t74 @t74) @t201) (tptp.c_Relation_OId @t74)) @t201))) % 6.51/6.70 (assume @p4738 (forall @t3091 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5172 (tptp.c_List_Olistrel1 @t8 @t6017)) @t6047)))) % 6.51/6.70 (assume @p4739 (forall @t71 (= (tptp.hBOOL (tptp.hAPP @t3832 @t6022)) @t69))) % 6.51/6.70 (assume @p4740 (forall (@list @t5057 @t2917 @t4883 @t4884 @t8) (=> @t6048 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5237 @t5057)) @t6025)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5095 (tptp.hAPP @t5094 @t5057)) @t6025)))))) % 6.51/6.70 (assume @p4741 (forall @t5220 (=> @t6030 (=> @t6049 (tptp.hBOOL (tptp.hAPP @t5219 @t6047)))))) % 6.51/6.70 (assume @p4742 (forall @t3091 (tptp.hBOOL (tptp.hAPP @t5173 @t6047)))) % 6.51/6.70 (assume @p4743 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t3308 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t3146)))) % 6.51/6.70 (assume @p4744 (forall (@list @t100 @t201 @t73 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t283 (tptp.hAPP @t4790 @t201)))) (= @t6034 @t328)))) % 6.51/6.70 (assume @p4745 (forall (@list @t58 @t2917 @t13 @t8) (=> @t4350 (=> @t6050 @t4351)))) % 6.51/6.70 (assume @p4746 (forall (@list @t2917 @t13 @t58 @t8) (=> @t6050 (=> @t4350 @t4351)))) % 6.51/6.70 (assume @p4747 (forall @t6021 (= (tptp.c_Wellfounded_Owf @t8 @t6020) (and @t4781 @t6051)))) % 6.51/6.70 (assume @p4748 (forall @t5372 (=> @t6049 (tptp.hBOOL (tptp.hAPP @t5370 @t6047))))) % 6.51/6.70 (assume @p4749 (forall @t5251 (=> (tptp.hBOOL (tptp.hAPP @t5243 @t6047)) @t5250))) % 6.51/6.70 (assume @p4750 (forall @t6021 (= (tptp.c_Wellfounded_Oacyclic @t8 @t6020) (and @t4825 @t6051)))) % 6.51/6.70 (assume @p4751 (forall @t5166 (=> @t5371 @t6048))) % 6.51/6.70 (assume @p4752 (forall @t5166 (=> @t5165 @t6049))) % 6.51/6.70 (assume @p4753 (forall @t3091 (tptp.c_Relation_Orefl__on @t8 @t4202 @t6023))) % 6.51/6.70 (assume @p4754 (forall @t150 (= @t6022 (tptp.hAPP @t4699 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t3067) @t4669) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3067 @t3464 @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3068 (tptp.tc_fun @t3464 @t55) @t3067) (tptp.c_COMBB @t3067 tptp.tc_HOL_Obool @t8)) tptp.c_fequal)) @t3813)))))) % 6.51/6.70 (assume @p4755 (forall @t3091 (tptp.c_Relation_Oirrefl @t8 @t6045))) % 6.51/6.70 (assume @p4756 (forall @t634 (= (tptp.hBOOL (tptp.hAPP @t5999 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t877))) % 6.51/6.70 (assume @p4757 (forall (@list @t51 @t2917 @t58 @t13 @t8) (=> @t6024 (=> @t4506 @t369)))) % 6.51/6.70 (assume @p4758 (forall @t4331 (=> (= (tptp.hAPP (tptp.hAPP @t4573 @t6054) @t6017) @t3070) (not (tptp.hBOOL (tptp.hAPP @t6052 @t6000)))))) % 6.51/6.70 (assume @p4759 (forall (@list @t205 @t638 @t2917 @t2 @t8) (=> (forall @t1336 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3085 (tptp.hAPP @t2 @t4803)) @t3806)) @t6017))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3085 (tptp.hAPP @t2 @t640)) @t1887)) @t6017))))) % 6.51/6.70 (assume @p4760 (forall @t6021 (=> @t6057 @t6056))) % 6.51/6.70 (assume @p4761 (forall @t5251 (=> @t6056 @t6057))) % 6.51/6.70 (assume @p4762 (forall @t3091 (= @t6055 (tptp.hAPP @t6053 @t6017)))) % 6.51/6.70 (assume @p4763 (forall @t150 (= (tptp.hAPP @t6053 @t6022) @t6022))) % 6.51/6.70 (assume @p4764 (forall @t5251 (= (tptp.hBOOL (tptp.hAPP @t5243 @t6059)) (tptp.hBOOL (tptp.hAPP @t5243 @t6058))))) % 6.51/6.70 (assume @p4765 (forall @t4746 (= @t6064 @t6061))) % 6.51/6.70 (assume @p4766 (forall @t4746 (=> @t3684 (tptp.hBOOL (tptp.hAPP @t6060 @t6065))))) % 6.51/6.70 (assume @p4767 (forall @t4746 (=> @t6064 @t6061))) % 6.51/6.70 (assume @p4768 (forall (@list @t2 @t201 @t74 @t8) (= (tptp.hAPP @t6053 (tptp.hAPP (tptp.hAPP @t3496 @t201) @t2)) (tptp.hAPP (tptp.hAPP @t3496 (tptp.hAPP (tptp.c_Relation_Oconverse @t74 @t74) @t201)) @t2)))) % 6.51/6.70 (assume @p4769 (forall @t6067 (= (tptp.hAPP @t6062 (tptp.hAPP (tptp.hAPP @t4766 @t2917) @t428)) (tptp.hAPP (tptp.hAPP @t4014 @t6063) @t6066)))) % 6.51/6.70 (assume @p4770 (forall @t4764 (= (tptp.hBOOL (tptp.hAPP @t4214 @t6063)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t3674) @t2917))))) % 6.51/6.70 (assume @p4771 (forall @t3091 (= (tptp.c_Wellfounded_Oacyclic @t8 @t6054) @t4825))) % 6.51/6.70 (assume @p4772 (forall @t4760 (= (tptp.hAPP @t6062 @t6065) @t2917))) % 6.51/6.70 (assume @p4773 (forall @t3091 (= (tptp.hAPP @t3591 @t6054) @t3592))) % 6.51/6.70 (assume @p4774 (forall @t243 (= (tptp.hAPP @t6053 @t3814) @t3814))) % 6.51/6.70 (assume @p4775 (forall @t6067 (= (tptp.hAPP @t6062 (tptp.hAPP (tptp.hAPP @t3676 @t2917) @t428)) (tptp.hAPP (tptp.hAPP @t2932 @t6063) @t6066)))) % 6.51/6.70 (assume @p4776 (forall (@list @t428 @t2917 @t210 @t8 @t74) (= (tptp.hAPP @t6062 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t74 @t210 @t8) @t2917) @t428)) (tptp.hAPP (tptp.hAPP @t4738 (tptp.hAPP (tptp.c_Relation_Oconverse @t210 @t8) @t428)) (tptp.hAPP (tptp.c_Relation_Oconverse @t74 @t210) @t2917))))) % 6.51/6.70 (assume @p4777 (forall @t6069 (= (tptp.hAPP @t6062 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t210 @t3675) @t1791) @t2917)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t210 @t2931) @t1791) @t6068)))) % 6.51/6.70 (assume @p4778 (forall @t4760 (= @t4759 @t6070))) % 6.51/6.70 (assume @p4779 (forall @t4764 (= @t6070 @t4759))) % 6.51/6.70 (assume @p4780 (forall @t4760 (= (tptp.hAPP @t4741 @t6065) @t4785))) % 6.51/6.70 (assume @p4781 (forall @t3820 (=> @t3839 @t6072))) % 6.51/6.70 (assume @p4782 (forall @t3091 (= @t6059 @t6058))) % 6.51/6.70 (assume @p4783 (forall @t3820 (= (tptp.c_Relation_Orefl__on @t8 @t51 @t6054) @t4569))) % 6.51/6.70 (assume @p4784 (forall @t6069 (= (tptp.hAPP @t6062 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t210 @t3675) @t1791) @t2917)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t210 @t2931) @t1791) @t6068)))) % 6.51/6.70 (assume @p4785 (forall @t5251 (=> @t6076 @t6074))) % 6.51/6.70 (assume @p4786 (forall @t5251 (=> @t6074 @t6076))) % 6.51/6.70 (assume @p4787 (forall @t3091 (= @t6073 @t6075))) % 6.51/6.70 (assume @p4788 (forall @t3091 (=> @t6077 (tptp.c_Wellfounded_Owf @t8 @t6075)))) % 6.51/6.70 (assume @p4789 (forall (@list @t289 @t51 @t2917 @t74 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t3688) @t289)) (tptp.hBOOL (tptp.hAPP @t4508 (tptp.hAPP @t4236 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t74 @t6063) @t843))))))) % 6.51/6.70 (assume @p4790 (forall @t3820 (=> @t4569 (tptp.hBOOL (tptp.hAPP @t3597 @t6071))))) % 6.51/6.70 (assume @p4791 (forall @t4577 (=> @t6072 (=> (= @t4793 @t51) @t3839)))) % 6.51/6.70 (assume @p4792 (forall @t3091 (=> @t3604 (=> @t4825 @t6077)))) % 6.51/6.70 (assume @p4793 (forall @t4760 (= @t6063 (tptp.hAPP @t4609 (tptp.hAPP @t3130 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3675 @t273) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6078 (tptp.tc_fun @t3675 @t273) @t8) (tptp.c_COMBC @t74 @t3675 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t74 @t3674) @t6078 @t8) (tptp.hAPP (tptp.c_COMBB @t3674 @t4654 @t74) @t3686)) @t4093))) @t2917)))))) % 6.51/6.70 (assume @p4794 (forall (@list @t289 @t210 @t51 @t2917 @t74 @t8) (=> (tptp.c_Relation_Osingle__valued @t8 @t74 @t6063) (=> (not (= @t51 (tptp.c_Orderings_Obot__class_Obot @t2190))) (= @t4316 @t4313))))) % 6.51/6.70 (assume @p4795 (forall @t3820 (= (tptp.c_Relation_Ototal__on @t8 @t51 @t6045) @t6079))) % 6.51/6.70 (assume @p4796 (forall @t150 (tptp.c_Relation_Osingle__valued @t8 @t8 @t6022))) % 6.51/6.70 (assume @p4797 (forall @t3820 (= (tptp.c_Relation_Ototal__on @t8 @t51 @t6054) @t6079))) % 6.51/6.70 (assume @p4798 (forall @t3091 (tptp.c_Relation_Ototal__on @t8 @t56 @t2917))) % 6.51/6.70 (assume @p4799 (forall @t243 (tptp.c_Relation_Osingle__valued @t8 @t8 @t3814))) % 6.51/6.70 (assume @p4800 (forall (@list @t428 @t210 @t2917 @t74 @t8) (=> @t6080 (=> (tptp.c_Relation_Osingle__valued @t74 @t210 @t428) (tptp.c_Relation_Osingle__valued @t8 @t210 @t4744))))) % 6.51/6.70 (assume @p4801 (forall @t4798 (=> @t4797 (=> (tptp.c_Relation_Osingle__valued @t8 @t74 @t428) @t6080)))) % 6.51/6.70 (assume @p4802 (forall (@list @t261 @t100 @t73 @t2917 @t74 @t8) (=> @t6080 (=> (tptp.hBOOL (tptp.hAPP @t2937 @t2917)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2936 (tptp.hAPP @t2934 @t261)) @t2917)) @t1053))))) % 6.51/6.70 (assume @p4803 (forall @t4764 (= @t6080 (forall @t396 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2936 @t4547) @t2917)) (forall @t4120 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2936 @t6081) @t2917)) (= @t43 @t4119)))))))) % 6.51/6.70 (assume @p4804 (forall @t3820 (= @t6079 (forall @t7 (=> @t363 (forall @t2329 (=> @t3759 (=> @t3758 (or (tptp.hBOOL (tptp.hAPP @t4375 @t2917)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3085 @t2327) @t3)) @t2917))))))))))) % 6.51/6.70 (assume @p4805 (forall (@list @t261 @t100 @t73 @t2917 @t8) (=> (tptp.c_Relation_Osingle__valued @t8 @t8 @t2917) (=> @t6030 (=> (tptp.hBOOL (tptp.hAPP @t6029 @t6017)) (or (tptp.hBOOL (tptp.hAPP @t3999 @t6017)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3085 @t261) @t100)) @t6017)))))))) % 6.51/6.70 (assume @p4806 (forall @t3959 (=> (tptp.c_Relation_Osingle__valued @t8 @t74 (tptp.hAPP @t6062 @t201)) (= @t3958 @t3957)))) % 6.51/6.70 (assume @p4807 (forall @t6085 (=> @t6084 (tptp.hBOOL (tptp.hAPP @t6004 @t6083))))) % 6.51/6.70 (assume @p4808 (forall @t3091 (=> @t6001 @t4825))) % 6.51/6.70 (assume @p4809 (forall @t6087 (=> (tptp.c_Relation_Osingle__valued @t8 @t8 @t201) (tptp.c_Relation_Osingle__valued @t8 @t8 @t6086)))) % 6.51/6.70 (assume @p4810 (forall @t6035 (=> (tptp.hBOOL (tptp.hAPP @t3246 @t6088)) @t328))) % 6.51/6.70 (assume @p4811 (forall @t5939 (tptp.hBOOL (tptp.hAPP @t6052 @t6088)))) % 6.51/6.70 (assume @p4812 (forall (@list @t2 @t281 @t74 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t819 @t819) @t281) (tptp.c_Fun_Ocomp @t74 @t74 @t8 @t2)) (tptp.c_Fun_Ocomp @t74 @t74 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t74 @t74) @t281) @t2))))) % 6.51/6.70 (assume @p4813 (forall (@list @t73 @t281 @t8 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t6091 @t73)) (tptp.hAPP @t6091 @t115)))) % 6.51/6.70 (assume @p4814 (forall @t6092 (=> (tptp.c_Wellfounded_Owf @t8 @t6086) @t4779))) % 6.51/6.70 (assume @p4815 (forall @t3790 (= (tptp.hAPP @t6090 @t6093) (tptp.hAPP (tptp.hAPP @t6089 @t951) @t2)))) % 6.51/6.70 (assume @p4816 (forall @t6087 (= (tptp.hAPP @t4772 @t6086) @t6094))) % 6.51/6.70 (assume @p4817 (forall @t6092 (= @t6095 @t6094))) % 6.51/6.70 (assume @p4818 (forall @t4326 (= (tptp.hAPP (tptp.hAPP @t6082 @t467) @t201) @t201))) % 6.51/6.70 (assume @p4819 (forall (@list @t201 @t281 @t378 @t8) (= (tptp.hAPP (tptp.hAPP @t6082 @t1149) @t201) (tptp.hAPP (tptp.hAPP @t4755 (tptp.hAPP (tptp.hAPP @t6082 @t378) @t201)) @t6086)))) % 6.51/6.70 (assume @p4820 (forall @t3785 (= (tptp.hAPP (tptp.hAPP @t6089 @t1149) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t8 @t6093) @t6091)))) % 6.51/6.70 (assume @p4821 (forall (@list @t2 @t281 @t8) (= (tptp.hAPP (tptp.hAPP @t6089 @t282) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t8 @t2) @t6091)))) % 6.51/6.70 (assume @p4822 (forall (@list @t281 @t261 @t201 @t100 @t73 @t8) (=> @t3281 (=> (tptp.hBOOL (tptp.hAPP @t3999 @t6086)) @t6096)))) % 6.51/6.70 (assume @p4823 (forall (@list @t261 @t201 @t281 @t100 @t73 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3246 @t6086)) (=> (tptp.hBOOL (tptp.hAPP @t3999 @t201)) @t6096)))) % 6.51/6.70 (assume @p4824 (forall @t6085 (= @t6084 (exists @t430 @t6097)))) % 6.51/6.70 (assume @p4825 (forall (@list @t201 @t281 @t3161 @t8) (=> (tptp.hBOOL (tptp.hAPP @t6004 @t6086)) @t6084))) % 6.51/6.70 (assume @p4826 (forall @t4326 (= @t6088 @t6022))) % 6.51/6.70 (assume @p4827 (forall @t4235 (= (tptp.hAPP (tptp.hAPP @t6089 @t1074) @t2) @t4720))) % 6.51/6.70 (assume @p4828 (forall @t6085 (= (tptp.hBOOL (tptp.hAPP @t6004 @t6008)) (exists @t430 (and @t3498 @t6097))))) % 6.51/6.70 (assume @p4829 (forall @t4326 (= @t6028 @t6083))) % 6.51/6.70 (assume @p4830 (forall @t150 (= (tptp.c_Nat_Ofunpow @t8) @t6089))) % 6.51/6.70 (assume @p4831 (forall @t6105 (=> @t6104 (=> @t6103 (not (forall @t6102 (=> @t1241 (=> (tptp.hBOOL (tptp.hAPP @t6101 @t6100)) @t6099)))))))) % 6.51/6.70 (assume @p4832 (forall @t2271 (= @t5634 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t4813 @t4813) @t281) @t5582)))) % 6.51/6.70 (assume @p4833 (forall @t6105 (=> @t6104 (=> @t6103 (not (forall @t6102 (=> @t1241 (=> @t6106 (not (tptp.hBOOL (tptp.hAPP @t6098 @t6100))))))))))) % 6.51/6.70 (assume @p4834 (forall (@list @t6107 @t6108 @t6109 @t201) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t201 @t6109 @t6108 @t6107) (tptp.c_New__DSequence_Opos__not__seq @t6110)))) % 6.51/6.70 (assume @p4835 (forall @t6115 (=> @t6114 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t3086 @t58)) @t6111)) (forall @t45 (=> (tptp.hBOOL (tptp.hAPP @t6113 @t116)) @t4232)))) @t6112)))) % 6.51/6.70 (assume @p4836 (forall @t6115 (=> @t6114 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t3287 @t3)) @t6111)) (forall @t45 (=> (tptp.hBOOL (tptp.hAPP @t4001 @t116)) @t5028)))) @t6112)))) % 6.51/6.70 (assume @p4837 (forall @t6105 (=> @t6096 (exists @t45 (and @t6106 @t6116))))) % 6.51/6.70 (assume @p4838 (forall @t6105 (=> @t6096 (not (forall @t45 (=> @t6106 (not @t6116))))))) % 6.51/6.70 (assume @p4839 (forall @t6105 (=> @t6096 (not (forall @t45 (=> (tptp.hBOOL (tptp.hAPP @t6101 @t6086)) @t6099)))))) % 6.51/6.70 (assume @p4840 (forall @t6035 (=> @t6033 (exists @t4120 (and (tptp.hBOOL (tptp.hAPP @t6118 @t201)) (tptp.hBOOL (tptp.hAPP @t6117 @t6028))))))) % 6.51/6.70 (assume @p4841 (forall @t6035 (=> @t6033 (exists @t4120 (and (tptp.hBOOL (tptp.hAPP @t6118 @t6028)) (tptp.hBOOL (tptp.hAPP @t6117 @t201))))))) % 6.51/6.70 (assume @p4842 (forall (@list @t3161 @t8) (=> (tptp.hBOOL (tptp.hAPP @t6004 @t6022)) (not (forall @t7 (not (= @t3161 @t3087))))))) % 6.51/6.70 (assume @p4843 (forall (@list @t205 @t2 @t281 @t378) (=> (forall @t1336 (=> (and @t6119 @t4415) @t4413)) (=> @t601 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t3783) @t205)) (=> @t4412 (exists @t1336 (and @t6119 @t4411 @t4410)))))))) % 6.51/6.70 (assume @p4844 (forall @t5053 (= @t5039 (exists @t6121 @t6120)))) % 6.51/6.70 (assume @p4845 (forall @t5053 (= @t5039 (exists @t5919 (and (exists @t5917 @t6120) (not (tptp.hBOOL (tptp.hAPP @t283 @t5916)))))))) % 6.51/6.70 (assume @p4846 (forall @t5053 (= @t5039 (exists @t6121 (and @t6120 (not (tptp.hBOOL (tptp.hAPP @t283 @t5915)))))))) % 6.51/6.70 (assume @p4847 (forall @t502 (=> @t2493 (= @t348 @t2492)))) % 6.51/6.70 (assume @p4848 (forall @t3091 (= @t4781 (forall (@list @t6122) (=> (exists @t7 @t6123) (exists @t7 (and @t6123 (forall @t45 (=> (tptp.hBOOL (tptp.hAPP @t6113 @t2917)) (not (tptp.hBOOL (tptp.hAPP @t4005 @t6122)))))))))))) % 6.51/6.70 (assume @p4849 (forall (@list @t198 @t117) (=> (forall @t7 (=> @t1915 (= @t135 (tptp.hBOOL (tptp.hAPP @t198 @t3))))) (= @t4691 (tptp.hAPP @t4690 (tptp.hAPP @t3227 @t198)))))) % 6.51/6.70 (assume @p4850 (forall (@list @t116 @t117 @t289 @t51 @t8) (=> @t746 (=> (forall @t7 (=> @t363 (=> @t135 (tptp.hBOOL @t4096)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t744 @t4630) (tptp.hAPP @t3892 @t4602))))))) % 6.51/6.70 (assume @p4851 (forall @t4320 (=> @t4379 (not (forall @t4402 (=> @t5941 (not @t5942))))))) % 6.51/6.70 (assume @p4852 (forall (@list @t2917 @t6124 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2936 @t6124) @t6063)) (not (forall @t396 (=> (= @t6124 (tptp.hAPP (tptp.hAPP @t2933 @t43) @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3686 (tptp.hAPP @t3685 @t43)) @t2917))))))))) % 6.51/6.70 (assume @p4853 (forall (@list @t428 @t2917 @t210 @t6125 @t74 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2936 @t6125) @t4739)) (not (forall (@list @t3 @t43 @t4119) (=> (= @t6125 @t6081) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4734 (tptp.hAPP (tptp.hAPP @t4139 @t3) @t43)) @t2917)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4730 (tptp.hAPP (tptp.hAPP @t4189 @t43) @t4119)) @t428)))))))))) % 6.51/6.70 (assume @p4854 (forall @t6132 (= (tptp.c_Nitpick_Oplus__frac @t8 @t2748 @t2917) (tptp.hAPP (tptp.hAPP @t1974 (tptp.c_Nitpick_Oint__lcm @t6131 @t6127)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t3115 tptp.tc_Int_Oint) @t4403) (tptp.hAPP (tptp.hAPP @t2729 (tptp.hAPP @t3096 (tptp.hAPP (tptp.hAPP @t6130 (tptp.hAPP @t1402 (tptp.hAPP @t6129 @t2748))) (tptp.hAPP @t6128 @t6131)))) (tptp.hAPP (tptp.hAPP @t6130 (tptp.hAPP @t1402 (tptp.hAPP @t6129 @t2917))) (tptp.hAPP @t6128 @t6127))))) @t2728))))) % 6.51/6.70 (assume @p4855 (forall (@list @t1232 @t1594 @t8) (= (tptp.c_Nitpick_Otimes__frac @t8 @t1594 @t1232) (tptp.hAPP (tptp.hAPP @t4403 (tptp.hAPP (tptp.hAPP @t1402 @t6134) (tptp.hAPP @t6129 @t1232))) (tptp.hAPP (tptp.hAPP @t1402 @t6133) (tptp.hAPP @t6126 @t1232)))))) % 6.51/6.70 (assume @p4856 (forall (@list @t1594 @t8 @t74) (=> (and (tptp.class_Rings_Oinverse @t74) (tptp.class_Rings_Oring__1 @t74)) (= (tptp.c_Nitpick_Oof__frac @t8 @t74 @t1594) (tptp.hAPP (tptp.hAPP @t3299 (tptp.hAPP @t6135 @t6134)) (tptp.hAPP @t6135 @t6133)))))) % 6.51/6.70 (assume @p4857 (forall @t6136 (= (tptp.c_Nitpick_Oinverse__frac @t8 @t1594) (tptp.hAPP (tptp.hAPP @t4403 @t6133) @t6134)))) % 6.51/6.70 (assume @p4858 (forall @t6136 (= (tptp.c_Nitpick_Ouminus__frac @t8 @t1594) (tptp.c_Nitpick_OAbs__Frac @t8 (tptp.hAPP (tptp.hAPP @t2919 (tptp.hAPP @t1409 @t6134)) @t6133))))) % 6.51/6.70 (assume @p4859 (forall @t6132 (= (tptp.c_Nitpick_Oless__frac @t8 @t2748 @t2917) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1385 @t6137) @t1480))))) % 6.51/6.70 (assume @p4860 (forall @t6132 (= (tptp.c_Nitpick_Oless__eq__frac @t8 @t2748 @t2917) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1380 @t6137) @t1480))))) % 6.51/6.70 (assume @p4861 (forall @t150 (= @t6126 (tptp.hAPP (tptp.c_Fun_Ocomp @t2920 tptp.tc_Int_Oint @t8 @t3239) @t6138)))) % 6.51/6.70 (assume @p4862 (forall @t150 (= @t6129 (tptp.hAPP (tptp.c_Fun_Ocomp @t2920 tptp.tc_Int_Oint @t8 @t3247) @t6138)))) % 6.51/6.70 (assume @p4863 (forall @t2172 (=> @t6140 (=> (forall @t7 (=> @t363 (tptp.hBOOL (tptp.hAPP @t6139 @t5)))) (tptp.hBOOL (tptp.hAPP @t6139 @t2982)))))) % 6.51/6.70 (assume @p4864 (forall @t5678 (= @t6141 (forall @t430 (=> @t5299 @t5943))))) % 6.51/6.70 (assume @p4865 (forall @t5274 (= @t5273 @t6141))) % 6.51/6.70 (assume @p4866 (forall @t5479 (= (tptp.c_List_Olist__all @t8 @t117 @t5190) (and @t133 @t6141)))) % 6.51/6.70 (assume @p4867 (forall @t5686 (= (tptp.c_List_Olist__all @t8 @t117 @t5522) (and @t6141 (tptp.c_List_Olist__all @t8 @t117 @t4883))))) % 6.51/6.70 (assume @p4868 (forall @t5678 (= (tptp.c_List_Olist__all @t8 @t117 @t5793) @t6141))) % 6.51/6.70 (assume @p4869 (forall @t5678 (= @t6141 @t5273))) % 6.51/6.70 (assume @p4870 (forall @t4617 (tptp.c_List_Olist__all @t8 @t117 @t5439))) % 6.51/6.70 (assume @p4871 (forall @t5479 (= (tptp.c_List_Olist__ex1 @t8 @t117 @t5190) (and (=> @t133 (tptp.c_List_Olist__all @t8 (tptp.hAPP (tptp.hAPP @t4428 (tptp.hAPP @t4622 @t4615)) @t4419) @t4884)) (=> @t5674 @t6142))))) % 6.51/6.70 (assume @p4872 (forall (@list @t210 @t74 @t8) (= (tptp.c_Product__Type_Ointernal__split @t8 @t74 @t210) @t3104))) % 6.51/6.70 (assume @p4873 (forall @t4617 (not (tptp.c_List_Olist__ex1 @t8 @t117 @t5439)))) % 6.51/6.70 (assume @p4874 (forall @t4617 (=> @t5855 (= (exists @t7 (and @t135 (forall @t45 (=> @t4685 @t4232)))) (tptp.c_List_Olist__ex1 @t8 @t117 @t5859))))) % 6.51/6.70 (assume @p4875 (forall (@list @t58 @t13 @t18 @t8 @t210 @t74) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t74 @t210 @t8) @t18) @t3135) @t3137))) % 6.51/6.70 (assume @p4876 (forall @t5678 (= @t6142 (exists @t7 (and @t5272 @t135 (forall @t45 (=> (and (tptp.hBOOL (tptp.hAPP @t4005 @t4904)) @t4685) @t4232))))))) % 6.51/6.70 (assume @p4877 (forall @t2172 (=> @t6140 (=> (forall @t7 (=> @t363 @t3809)) (tptp.hBOOL (tptp.hAPP @t3802 @t2982)))))) % 6.51/6.70 (assume @p4878 (forall (@list @t1010 @t2) (=> (forall @t430 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t753 @t427) (tptp.hAPP @t2 @t427)))) (tptp.hBOOL (tptp.hAPP @t2335 (tptp.hAPP @t4584 (tptp.hAPP (tptp.hAPP @t4578 (tptp.hAPP (tptp.hAPP @t4815 @t753) @t2)) @t1010))))))) % 6.51/6.70 (assume @p4879 (tptp.c_FunDef_Ois__measure tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Int_Oint tptp.c_Int_Onat) @t4124))) % 6.51/6.70 (assume @p4880 (forall @t845 (=> (and (tptp.class_HOL_Oequal @t74) @t5855) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oequal__class_Oequal @t819) @t2) @t1)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t137 @t5862)) @t6)))))) % 6.51/6.70 (assume @p4881 (forall @t6144 (=> @t6143 (tptp.c_FunDef_Ois__measure @t3674 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 tptp.tc_Nat_Onat @t3674) @t2) @t3252))))) % 6.51/6.70 (assume @p4882 (forall @t150 (=> @t5867 (= tptp.c_fequal @t6145)))) % 6.51/6.70 (assume @p4883 (forall @t485 (=> @t5867 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6145 @t73) @t100)) @t328)))) % 6.51/6.70 (assume @p4884 (forall @t97 (=> @t5867 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6145 @t95) @t95))))) % 6.51/6.70 (assume @p4885 (forall @t150 (=> @t5867 (= @t6145 tptp.c_fequal)))) % 6.51/6.70 (assume @p4886 (forall @t14 (tptp.c_FunDef_Ois__measure @t8 @t13))) % 6.51/6.70 (assume @p4887 (forall @t4235 @t6143)) % 6.51/6.70 (assume @p4888 (forall @t150 (=> (tptp.class_Nat_Osize @t8) (tptp.c_FunDef_Ois__measure @t8 (tptp.c_Nat_Osize__class_Osize @t8))))) % 6.51/6.70 (assume @p4889 (forall @t6144 (=> @t6143 (tptp.c_FunDef_Ois__measure @t2930 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 tptp.tc_Nat_Onat @t2930) @t2) @t3250))))) % 6.51/6.70 (assume @p4890 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2195 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 6.51/6.70 (assume @p4891 (forall @t6153 (and (=> @t6150 (= @t6149 @t6152)) (=> @t6151 (= @t6149 (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t74 @t8 @t6148) @t6147)))))) % 6.51/6.70 (assume @p4892 (not (tptp.hBOOL (tptp.hAPP @t6155 tptp.c_Int_OMin)))) % 6.51/6.70 (assume @p4893 (not (tptp.hBOOL (tptp.hAPP @t6156 tptp.c_Int_OPls)))) % 6.51/6.70 (assume @p4894 (forall @t6159 (= (tptp.hBOOL (tptp.hAPP @t6158 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t6157 tptp.c_Int_OMin))))) % 6.51/6.70 (assume @p4895 (forall @t6160 (= (tptp.hBOOL (tptp.hAPP @t6156 @t2215)) (tptp.hBOOL (tptp.hAPP @t6156 @t2212))))) % 6.51/6.70 (assume @p4896 (forall @t6163 (not (tptp.hBOOL (tptp.hAPP @t6162 tptp.c_Int_OMin))))) % 6.51/6.70 (assume @p4897 (forall @t6166 (not (tptp.hBOOL (tptp.hAPP @t6156 @t6165))))) % 6.51/6.70 (assume @p4898 (forall @t6159 (= (tptp.hBOOL (tptp.hAPP @t6167 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t6157 tptp.c_Int_OPls))))) % 6.51/6.70 (assume @p4899 (forall @t6160 (= (tptp.hBOOL (tptp.hAPP @t6155 @t2348)) (tptp.hBOOL (tptp.hAPP @t6155 @t2212))))) % 6.51/6.70 (assume @p4900 (forall @t6169 (not (tptp.hBOOL (tptp.hAPP @t6168 @t6165))))) % 6.51/6.70 (assume @p4901 (forall @t6169 (not (tptp.hBOOL (tptp.hAPP @t6162 @t6170))))) % 6.51/6.70 (assume @p4902 (forall @t1473 (= @t6171 (= @t1503 @t1480)))) % 6.51/6.70 (assume @p4903 (tptp.hBOOL (tptp.hAPP @t6156 tptp.c_Int_OMin))) % 6.51/6.70 (assume @p4904 (tptp.hBOOL (tptp.hAPP @t6155 tptp.c_Int_OPls))) % 6.51/6.70 (assume @p4905 (forall @t2218 (= (tptp.hBOOL (tptp.hAPP @t6158 @t2215)) @t6172))) % 6.51/6.70 (assume @p4906 (forall @t2218 (= (tptp.hBOOL (tptp.hAPP @t6167 @t2348)) @t6172))) % 6.51/6.70 (assume @p4907 (forall @t1473 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6154 @t1472) @t1471)) @t6171))) % 6.51/6.70 (assume @p4908 (forall @t6163 (not (tptp.hBOOL (tptp.hAPP @t6168 tptp.c_Int_OPls))))) % 6.51/6.70 (assume @p4909 (forall @t6166 (not (tptp.hBOOL (tptp.hAPP @t6155 @t6170))))) % 6.51/6.70 (assume @p4910 (= (tptp.hAPP @t6173 tptp.c_fFalse) @t1074)) % 6.51/6.70 (assume @p4911 (= (tptp.hAPP @t6173 tptp.c_fTrue) @t1074)) % 6.51/6.70 (assume @p4912 (forall @t6178 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t74 @t8 @t201 @t2 @t6109 @t6108 @t6107) (tptp.c_New__DSequence_Opos__decr__bind @t74 @t8 @t6110 @t6177)))) % 6.51/6.70 (assume @p4913 (forall (@list @t6179 @t8) (= (tptp.hAPP @t6180 @t6179) @t6152))) % 6.51/6.70 (assume @p4914 (forall @t1512 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6154 @t561) @t561)))) % 6.51/6.70 (assume @p4915 (forall (@list @t6107 @t6108 @t6109 @t8) (= (tptp.c_New__Random__Sequence_Opos__empty @t8 @t6109 @t6108 @t6107) @t6180))) % 6.51/6.70 (assume @p4916 (forall @t6182 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t74 @t8 @t73 @t2) @t638) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t74 @t8 @t6181) @t6147)))) % 6.51/6.70 (assume @p4917 (forall @t6178 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t74 @t8 @t201 @t2) @t6109) @t6108) @t6107) (tptp.c_New__DSequence_Opos__bind @t74 @t8 @t6110 @t6177)))) % 6.51/6.70 (assume @p4918 (forall (@list @t5997 @t8) (= (tptp.hAPP @t6185 @t5997) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t6190 @t1074 (tptp.hAPP @t6189 (tptp.hAPP (tptp.c_COMBK @t6188 @t8) (tptp.hAPP (tptp.hAPP @t6187 (tptp.hAPP @t6186 @t6185)) @t467)))) @t6184)))) % 6.51/6.70 (assume @p4919 (forall (@list @t5997 @t428 @t8) (= (tptp.hAPP @t6191 @t5997) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t6190 @t1074 (tptp.hAPP @t6189 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 tptp.tc_Nat_Onat @t6188) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6192 (tptp.tc_fun tptp.tc_Nat_Onat @t6188) @t8) @t6187) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6188 @t6192 @t8) @t6186) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t6188 @t6188) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1876 (tptp.tc_fun @t6188 @t6188) @t8) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t6146)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1876 @t8) @t553) @t428))) @t6191)))) @t467))) @t6184)))) % 6.51/6.70 (assume @p4920 (forall (@list @t5997 @t1 @t2 @t74 @t8) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t8 @t74 @t2 @t1 @t5997) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t8 (tptp.tc_prod @t74 @t6193) @t2 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t74 @t6193 @t8) @t1)) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield @t74) @t5997))))) % 6.51/6.70 (assume @p4921 (forall @t150 (= (tptp.c_Lazy__Sequence_Oyieldn @t8) (tptp.c_Lazy__Sequence_Oanamorph @t6146 @t8 @t6183)))) % 6.51/6.70 (assume @p4922 (forall (@list @t6194 @t13 @t1299 @t8) (= (tptp.hAPP @t6195 @t6196) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t1304 (tptp.hAPP @t6195 @t6194))) @t1239)))) % 6.51/6.70 (assume @p4923 (forall (@list @t6194 @t13 @t125 @t129 @t74 @t8) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t8 @t74 @t129 @t125 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t74 @t13 @t6194)) (tptp.hAPP @t126 @t6194)))) % 6.51/6.70 (assume @p4924 (forall (@list @t6197 @t107 @t6194 @t13 @t8) (= (= @t6196 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t107 @t6197)) (and @t108 (= @t6194 @t6197))))) % 6.51/6.70 (assume @p4925 (forall (@list @t6198 @t95 @t8) (= (tptp.hAPP @t6183 @t6199) (tptp.hAPP (tptp.c_Option_Ooption_OSome @t6190) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t8 @t6146) @t95) @t6198))))) % 6.51/6.70 (assume @p4926 (forall (@list @t6200 @t348 @t8) (= (tptp.hAPP @t6185 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t348 @t6200)) (tptp.hAPP (tptp.hAPP @t553 (tptp.hAPP @t6185 @t6200)) @t1239)))) % 6.51/6.70 (assume @p4927 (forall @t6202 (= (tptp.c_New__Random__Sequence_Opos__map @t74 @t8 @t2 @t117) (tptp.c_New__Random__Sequence_Opos__bind @t74 @t8 @t117 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6176) @t74 @t6201) @t2))))) % 6.51/6.70 (assume @p4928 (forall @t6153 (and (=> @t6150 (= @t6205 (tptp.c_Lazy__Sequence_Ohit__bound @t8))) (=> @t6151 (= @t6205 (tptp.c_Lazy__Sequence_Ohb__bind @t74 @t8 @t6148 @t6204)))))) % 6.51/6.70 (assume @p4929 (forall @t6178 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t74 @t8 @t201 @t2 @t6109 @t6108 @t6107) (tptp.c_New__DSequence_Oneg__decr__bind @t74 @t8 @t6110 @t6209)))) % 6.51/6.70 (assume @p4930 (forall @t6210 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6201 @t73) @t6109) @t6108) @t6107) (tptp.c_New__DSequence_Opos__single @t8 @t73)))) % 6.51/6.70 (assume @p4931 (forall @t6211 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t8 @t95) @t6179) (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle @t8) @t95)))) % 6.51/6.70 (assume @p4932 (forall @t6182 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t74 @t8 @t73 @t2) @t638) (tptp.c_Lazy__Sequence_Ohb__bind @t74 @t8 @t6181 @t6204)))) % 6.51/6.70 (assume @p4933 (forall @t6178 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t74 @t8 @t201 @t2) @t6109) @t6108) @t6107) (tptp.c_New__DSequence_Oneg__bind @t74 @t8 @t6110 @t6209)))) % 6.51/6.70 (assume @p4934 (forall (@list @t4836 @t1358 @t74 @t8) (= (tptp.c_Lazy__Sequence_Oproduct @t8 @t74 @t1358 @t4836) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t8 @t2930 @t1358) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6213 @t6212 @t8) (tptp.c_Lazy__Sequence_Obind @t74 @t2930 @t4836)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2940 @t6213 @t8) (tptp.hAPP (tptp.c_COMBB @t2930 @t6212 @t74) (tptp.c_Lazy__Sequence_Osingle @t2930))) @t2933)))))) % 6.51/6.70 (assume @p4935 (forall @t6202 (= (tptp.c_New__Random__Sequence_Oneg__map @t74 @t8 @t2 @t117) (tptp.c_New__Random__Sequence_Oneg__bind @t74 @t8 @t117 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6208) @t74 @t6214) @t2))))) % 6.51/6.70 (assume @p4936 (forall (@list @t60 @t8) (=> @t6218 (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4813 @t60) (tptp.c_Lazy__Sequence_Oappend @t4813 (tptp.hAPP @t6215 @t5439) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t6216) @t2066) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t5182 @t4813 (tptp.c_Lazy__Sequence_Oproduct @t8 @t4813 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t8 @t6217) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4813 @t6217))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t4813 @t6216) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5227 (tptp.tc_fun @t4813 @t6216) @t8) (tptp.hAPP (tptp.c_COMBB @t4813 @t6216 @t4813) @t6215)) @t5180)))) (tptp.c_Lazy__Sequence_Oempty @t4813))))))) % 6.51/6.70 (assume @p4937 (forall (@list @t715 @t74 @t8) (=> (and @t6218 (tptp.class_Lazy__Sequence_Osmall__lazy @t74)) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t2930 @t715) (tptp.c_Lazy__Sequence_Oproduct @t8 @t74 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t8 @t715) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t74 @t715)))))) % 6.51/6.70 (assume @p4938 (forall (@list @t6219 @t6198 @t95 @t8) (= (tptp.c_Lazy__Sequence_Oappend @t8 @t6199 @t6219) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t95 (tptp.c_Lazy__Sequence_Oappend @t8 @t6198 @t6219))))) % 6.51/6.70 (assume @p4939 (forall @t6210 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6214 @t73) @t6109) @t6108) @t6107) (tptp.c_New__DSequence_Oneg__single @t8 @t73)))) % 6.51/6.70 (assume @p4940 (forall (@list @t638 @t6220 @t5997 @t8) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__union @t8 @t5997 @t6220) @t638) (tptp.c_Lazy__Sequence_Oappend @t8 (tptp.hAPP @t5997 @t638) (tptp.hAPP @t6220 @t638))))) % 6.51/6.70 (assume @p4941 (forall @t6211 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t8 @t95) @t6179) (tptp.c_Lazy__Sequence_Ohb__single @t8 @t95)))) % 6.51/6.70 (assume @p4942 (forall (@list @t6107 @t6108 @t6109 @t3151 @t3150 @t8) (= (tptp.c_New__Random__Sequence_Opos__union @t8 @t3150 @t3151 @t6109 @t6108 @t6107) (tptp.c_New__DSequence_Opos__union @t8 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3150 @t6109) @t6108) @t6107) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3151 @t6109) @t6108) @t6107))))) % 6.51/6.70 (assume @p4943 (forall (@list @t592 @t715) (and (=> @t6223 (= @t6222 @t6224)) (=> (not @t6223) (= @t6222 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t6221 @t592) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t715 @t5472))))))) % 6.51/6.70 (assume @p4944 (forall (@list @t638 @t60) (=> (tptp.hBOOL (tptp.hAPP @t6226 @t3207)) (and (=> @t1892 (= @t6225 @t6224)) (=> @t1893 (= @t6225 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t6221 @t638) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t60 @t1889)))))))) % 6.51/6.70 (assume @p4945 (forall (@list @t715) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy tptp.tc_Int_Oint @t715) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t715 (tptp.hAPP @t1409 @t715))))) % 6.51/6.70 (assume @p4946 (forall @t3187 (=> (tptp.hBOOL (tptp.hAPP @t6226 @t3186)) (=> (forall (@list @t1283 @t1332) (=> (tptp.hBOOL (tptp.hAPP @t6226 @t3237)) (=> (=> @t3236 (tptp.hBOOL (tptp.hAPP @t1284 @t3234))) (tptp.hBOOL (tptp.hAPP @t1284 @t1332))))) @t3180)))) % 6.51/6.70 (assume @p4947 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p4948 (forall @t6231 (=> @t6230 (tptp.class_Lattices_Obounded__lattice @t6229)))) % 6.51/6.70 (assume @p4949 (forall @t6231 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6227) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6229)))) % 6.51/6.70 (assume @p4950 (forall @t6231 (=> @t6230 (tptp.class_Lattices_Obounded__lattice__top @t6229)))) % 6.51/6.70 (assume @p4951 (forall @t6231 (=> @t6230 (tptp.class_Lattices_Obounded__lattice__bot @t6229)))) % 6.51/6.70 (assume @p4952 (forall @t6231 (=> @t6232 (tptp.class_Lattices_Osemilattice__sup @t6229)))) % 6.51/6.70 (assume @p4953 (forall @t6231 (=> @t6232 (tptp.class_Lattices_Osemilattice__inf @t6229)))) % 6.51/6.70 (assume @p4954 (forall @t6231 (=> (tptp.class_Lattices_Odistrib__lattice @t6227) (tptp.class_Lattices_Odistrib__lattice @t6229)))) % 6.51/6.70 (assume @p4955 (forall @t6231 (=> (tptp.class_Lattices_Oboolean__algebra @t6227) (tptp.class_Lattices_Oboolean__algebra @t6229)))) % 6.51/6.70 (assume @p4956 (forall @t6231 (=> (tptp.class_Orderings_Opreorder @t6227) (tptp.class_Orderings_Opreorder @t6229)))) % 6.51/6.70 (assume @p4957 (forall @t6235 (=> @t6234 (tptp.class_Finite__Set_Ofinite @t6229)))) % 6.51/6.70 (assume @p4958 (forall @t6231 (=> @t6232 (tptp.class_Lattices_Olattice @t6229)))) % 6.51/6.70 (assume @p4959 (forall @t6231 (=> (tptp.class_Orderings_Oorder @t6227) (tptp.class_Orderings_Oorder @t6229)))) % 6.51/6.70 (assume @p4960 (forall @t6231 (=> (tptp.class_Orderings_Otop @t6227) (tptp.class_Orderings_Otop @t6229)))) % 6.51/6.70 (assume @p4961 (forall @t6231 (=> (tptp.class_Orderings_Oord @t6227) (tptp.class_Orderings_Oord @t6229)))) % 6.51/6.70 (assume @p4962 (forall @t6231 (=> (tptp.class_Orderings_Obot @t6227) (tptp.class_Orderings_Obot @t6229)))) % 6.51/6.70 (assume @p4963 (forall @t6231 (=> (tptp.class_Groups_Ouminus @t6227) (tptp.class_Groups_Ouminus @t6229)))) % 6.51/6.70 (assume @p4964 (forall @t6231 (=> (tptp.class_Groups_Ominus @t6227) (tptp.class_Groups_Ominus @t6229)))) % 6.51/6.70 (assume @p4965 (forall @t6235 (=> (and @t6236 (tptp.class_HOL_Oequal @t6227)) (tptp.class_HOL_Oequal @t6229)))) % 6.51/6.70 (assume @p4966 (forall @t6235 (=> @t6238 (tptp.class_Enum_Oenum @t6229)))) % 6.51/6.70 (assume @p4967 (tptp.class_HOL_Oequal tptp.tc_Com_Ocom)) % 6.51/6.70 (assume @p4968 (tptp.class_Nat_Osize tptp.tc_Com_Ocom)) % 6.51/6.70 (assume @p4969 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4970 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4971 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4972 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4973 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4974 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4975 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4976 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4977 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4978 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4979 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4980 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4981 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4982 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4983 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4984 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4985 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4986 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4987 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4988 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4989 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4990 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4991 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4992 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4993 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4994 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4995 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4996 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4997 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4998 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p4999 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5000 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5001 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5002 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5003 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5004 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5005 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5006 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5007 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5008 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5009 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5010 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5011 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5012 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5013 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5014 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5015 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5016 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5017 (tptp.class_Smallcheck_Osmall tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5018 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5019 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5020 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5021 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5022 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5023 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5024 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5025 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5026 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5027 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5028 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5029 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5030 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5031 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5032 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5033 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5034 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5035 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5036 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5037 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5038 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5039 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5040 (tptp.class_HOL_Oequal tptp.tc_Int_Oint)) % 6.51/6.70 (assume @p5041 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5042 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5043 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5044 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5045 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5046 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5047 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5048 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5049 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5050 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5051 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5052 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5053 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5054 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5055 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5056 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5057 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5058 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5059 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5060 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5061 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5062 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5063 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5064 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5065 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5066 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5067 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5068 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5069 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5070 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5071 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5072 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5073 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5074 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5075 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5076 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5077 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5078 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5079 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5080 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5081 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5082 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5083 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5084 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5085 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5086 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5087 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5088 (tptp.class_HOL_Oequal tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5089 (tptp.class_Nat_Osize tptp.tc_Nat_Onat)) % 6.51/6.70 (assume @p5090 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5091 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5092 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5093 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5094 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5095 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5096 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5097 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5098 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5099 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5100 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5101 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5102 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5103 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5104 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5105 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5106 (tptp.class_HOL_Oequal tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5107 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5108 (tptp.class_Nat_Osize tptp.tc_HOL_Obool)) % 6.51/6.70 (assume @p5109 (tptp.class_HOL_Oequal tptp.tc_Com_Ostate)) % 6.51/6.70 (assume @p5110 (tptp.class_Nat_Osize tptp.tc_Com_Ostate)) % 6.51/6.70 (assume @p5111 (tptp.class_HOL_Oequal tptp.tc_Com_Ovname)) % 6.51/6.70 (assume @p5112 (tptp.class_Nat_Osize tptp.tc_Com_Ovname)) % 6.51/6.70 (assume @p5113 (forall @t6241 (=> @t6240 (tptp.class_Lazy__Sequence_Osmall__lazy @t6239)))) % 6.51/6.70 (assume @p5114 (forall @t6241 (tptp.class_HOL_Oequal @t6239))) % 6.51/6.70 (assume @p5115 (forall @t6241 (tptp.class_Nat_Osize @t6239))) % 6.51/6.70 (assume @p5116 (forall @t6235 (=> @t6234 (tptp.class_Finite__Set_Ofinite @t6242)))) % 6.51/6.70 (assume @p5117 (forall @t6235 (tptp.class_HOL_Oequal @t6242))) % 6.51/6.70 (assume @p5118 (forall @t6235 (=> @t6238 (tptp.class_Enum_Oenum @t6242)))) % 6.51/6.70 (assume @p5119 (forall @t6235 (tptp.class_Nat_Osize @t6242))) % 6.51/6.70 (assume @p5120 (forall @t6241 (=> @t6233 (tptp.class_Finite__Set_Ofinite @t6243)))) % 6.51/6.70 (assume @p5121 (forall @t6241 (tptp.class_HOL_Oequal @t6243))) % 6.51/6.70 (assume @p5122 (forall @t6241 (=> @t6237 (tptp.class_Enum_Oenum @t6243)))) % 6.51/6.70 (assume @p5123 (forall @t6241 (tptp.class_Nat_Osize @t6243))) % 6.51/6.70 (assume @p5124 (forall @t6235 (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t6228) @t6240) (tptp.class_Lazy__Sequence_Osmall__lazy @t6244)))) % 6.51/6.70 (assume @p5125 (forall @t6235 (=> @t6234 (tptp.class_Finite__Set_Ofinite @t6244)))) % 6.51/6.70 (assume @p5126 (forall @t6235 (=> (and (tptp.class_Smallcheck_Osmall @t6228) (tptp.class_Smallcheck_Osmall @t6227)) (tptp.class_Smallcheck_Osmall @t6244)))) % 6.51/6.70 (assume @p5127 (forall @t6235 (tptp.class_HOL_Oequal @t6244))) % 6.51/6.70 (assume @p5128 (forall @t6235 (=> @t6238 (tptp.class_Enum_Oenum @t6244)))) % 6.51/6.70 (assume @p5129 (forall @t6235 (tptp.class_Nat_Osize @t6244))) % 6.51/6.70 (assume @p5130 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Product__Type_Ounit)) % 6.51/6.70 (assume @p5131 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 6.51/6.70 (assume @p5132 (tptp.class_Smallcheck_Osmall tptp.tc_Product__Type_Ounit)) % 6.51/6.70 (assume @p5133 (tptp.class_HOL_Oequal tptp.tc_Product__Type_Ounit)) % 6.51/6.70 (assume @p5134 (tptp.class_Enum_Oenum tptp.tc_Product__Type_Ounit)) % 6.51/6.70 (assume @p5135 (tptp.class_Nat_Osize tptp.tc_Product__Type_Ounit)) % 6.51/6.70 (assume @p5136 (tptp.class_HOL_Oequal tptp.tc_Code__Evaluation_Oterm)) % 6.51/6.70 (assume @p5137 (tptp.class_Nat_Osize tptp.tc_Code__Evaluation_Oterm)) % 6.51/6.70 (assume @p5138 (forall @t6241 (tptp.class_HOL_Oequal @t6245))) % 6.51/6.70 (assume @p5139 (forall @t6241 (tptp.class_Nat_Osize @t6245))) % 6.51/6.70 (assume @p5140 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5141 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5142 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5143 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5144 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5145 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5146 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5147 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5148 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5149 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5150 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5151 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5152 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5153 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5154 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5155 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5156 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5157 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5158 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5159 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5160 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5161 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5162 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5163 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5164 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5165 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5166 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5167 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5168 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5169 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5170 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5171 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5172 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5173 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5174 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5175 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5176 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5177 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5178 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5179 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5180 (tptp.class_HOL_Oequal tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5181 (tptp.class_Nat_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.70 (assume @p5182 (forall @t6241 (tptp.class_HOL_Oequal @t6246))) % 6.51/6.70 (assume @p5183 (forall @t6241 (tptp.class_Nat_Osize @t6246))) % 6.51/6.70 (assume @p5184 (forall (@list @t82 @t8) (= (tptp.hAPP @t1505 @t82) @t82))) % 6.51/6.70 (assume @p5185 (forall (@list @t6247 @t82 @t74 @t8) (= (tptp.hAPP (tptp.hAPP @t2973 @t82) @t6247) @t82))) % 6.51/6.70 (assume @p5186 (forall (@list @t201 @t116 @t117 @t210 @t8 @t74) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1507 @t117) @t116) @t201) (tptp.hAPP @t117 @t6248)))) % 6.51/6.70 (assume @p5187 (forall @t6250 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2409 @t117) @t116) @t201) (tptp.hAPP @t6249 @t116)))) % 6.51/6.70 (assume @p5188 (forall @t6250 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t74 @t210 @t8) @t117) @t116) @t201) (tptp.hAPP @t6249 @t6248)))) % 6.51/6.70 (assume @p5189 (forall @t1913 (or (not @t6251) @t328))) % 6.51/6.70 (assume @p5190 (forall @t1913 (or @t483 @t6251))) % 6.51/6.70 (assume @p5191 (not (tptp.hBOOL tptp.c_fFalse))) % 6.51/6.70 (assume @p5192 (tptp.hBOOL tptp.c_fTrue)) % 6.51/6.70 (assume @p5193 (forall @t1920 (or (not @t6254) @t6253))) % 6.51/6.70 (assume @p5194 (forall @t1920 (or (not @t6253) @t6254))) % 6.51/6.70 (assume @p5195 (forall @t6258 (or @t6253 @t6257 @t6255))) % 6.51/6.70 (assume @p5196 (forall @t6258 (or @t6259 @t6252))) % 6.51/6.70 (assume @p5197 (forall @t6258 (or @t6259 @t6256))) % 6.51/6.70 (assume @p5198 (forall @t6258 (or @t6253 @t6260))) % 6.51/6.70 (assume @p5199 (forall @t6261 (or @t6257 @t6260))) % 6.51/6.70 (assume @p5200 (forall @t6258 (or (not @t6260) @t6252 @t6256))) % 6.51/6.70 (assume @p5201 (forall @t6258 (or @t6252 @t6262))) % 6.51/6.70 (assume @p5202 (forall @t6261 (or @t6257 @t6262))) % 6.51/6.70 (assume @p5203 (forall @t6258 (or (not @t6262) @t6253 @t6256))) % 6.51/6.70 (assume @p5204 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 6.51/6.70 (assume @p5205 tptp.c_Com_OWT__bodies) % 6.51/6.70 (assume @p5206 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT tptp.v_c))) % 6.51/6.70 (assume @p5207 @t6265) % 6.51/6.70 (assume @p5208 (not @t6267)) % 6.51/6.70 (assume @p5209 true) % 6.51/6.70 (step @p5210 :rule instantiate :premises (@p43) :args ((@list tptp.v_y tptp.tc_Com_Ocom))) % 6.51/6.70 (step @p5211 :rule refl :args (@t140)) % 6.51/6.70 (step @p5212 :rule bool-double-not-elim :args (@t142)) % 6.51/6.70 (step @p5213 :rule nary_cong :premises (@p5212 @p5211) :args ((or (not @t143) @t140))) % 6.51/6.70 (step @p5214 :rule bool-impl-elim :args (@t143 @t140)) % 6.51/6.70 (step @p5215 :rule trans :premises (@p5214 @p5213)) % 6.51/6.70 (step @p5216 :rule cong :premises (@p5215) :args (@t145)) % 6.51/6.70 (step @p5217 :rule eq_resolve :premises (@p34 @p5216)) % 6.51/6.70 (step @p5218 :rule refl :args (@t6268)) % 6.51/6.70 (step @p5219 :rule eq-symm :args (@t6264 @t141)) % 6.51/6.70 (step @p5220 :rule nary_cong :premises (@p5219 @p5218) :args (@t6269)) % 6.51/6.70 (step @p5221 :rule refl :args (@t6270)) % 6.51/6.74 (step @p5222 :rule cong :premises (@p5221 @p5220) :args ((=> @t6270 @t6269))) % 6.51/6.74 (assume-push @p5277 @t6270) % 6.51/6.74 (step @p5224 :rule instantiate :premises (@p5217) :args ((@list tptp.v_pn))) % 6.51/6.74 (step-pop @p5278 :rule scope :premises (@p5224)) % 6.51/6.74 (step @p5225 :rule process_scope :premises (@p5278) :args (@t6269)) % 6.51/6.74 (step @p5227 :rule eq_resolve :premises (@p5225 @p5222)) % 6.51/6.74 (step @p5228 :rule implies_elim :premises (@p5227)) % 6.51/6.74 (step @p5229 :rule chain_m_resolution :premises (@p5228 @p5217) :args (@t6272 (@list false) (@list @t6270))) % 6.51/6.74 (step @p5230 :rule quant-miniscope-or :args ((= (forall @t26 @t6278) (or @t6277 @t6276 @t6275)))) % 6.51/6.74 (step @p5231 :rule aci_norm :args ((= @t6279 @t6278))) % 6.51/6.74 (step @p5232 :rule cong :premises (@p5231) :args ((forall @t26 @t6279))) % 6.51/6.74 (step @p5233 :rule trans :premises (@p5232 @p5230)) % 6.51/6.74 (step @p5234 :rule aci_norm :args ((= (or @t6277 @t6280) @t6279))) % 6.51/6.74 (step @p5235 :rule aci_norm :args ((= (or @t6276 @t6274) @t6280))) % 6.51/6.74 (step @p5236 :rule bool-impl-elim :args (@t23 @t22)) % 6.51/6.74 (step @p5237 :rule refl :args (@t6276)) % 6.51/6.74 (step @p5238 :rule nary_cong :premises (@p5237 @p5236) :args ((or @t6276 @t24))) % 6.51/6.74 (step @p5239 :rule trans :premises (@p5238 @p5235)) % 6.51/6.74 (step @p5240 :rule bool-impl-elim :args (tptp.c_Com_OWT__bodies @t24)) % 6.51/6.74 (step @p5241 :rule trans :premises (@p5240 @p5239)) % 6.51/6.74 (step @p5242 :rule refl :args (@t6277)) % 6.51/6.74 (step @p5243 :rule nary_cong :premises (@p5242 @p5241) :args ((or @t6277 @t25))) % 6.51/6.74 (step @p5244 :rule trans :premises (@p5243 @p5234)) % 6.51/6.74 (step @p5245 :rule bool-impl-elim :args (tptp.c_Hoare__Mirabelle_Ostate__not__singleton @t25)) % 6.51/6.74 (step @p5246 :rule trans :premises (@p5245 @p5244)) % 6.51/6.74 (step @p5247 :rule cong :premises (@p5246) :args (@t27)) % 6.51/6.74 (step @p5248 :rule trans :premises (@p5247 @p5233)) % 6.51/6.74 (step @p5249 :rule eq_resolve :premises (@p4 @p5248)) % 6.51/6.74 (step @p5250 :rule chain_m_resolution :premises (@p5249 @p5204 @p5205) :args (@t6275 (@list false false) (@list tptp.c_Hoare__Mirabelle_Ostate__not__singleton tptp.c_Com_OWT__bodies))) % 6.51/6.74 (step @p5251 :rule instantiate :premises (@p5250) :args ((@list @t6266))) % 6.51/6.74 (step @p5252 :rule cnf_or_pos :args (@t6282)) % 6.51/6.74 (step @p5253 :rule reordering :premises (@p5252) :args ((or @t6267 @t6281 (not @t6282)))) % 6.51/6.74 (step @p5254 :rule chain_m_resolution :premises (@p5253 @p5208 @p5251) :args (@t6281 @t6283 (@list @t6267 @t6282))) % 6.51/6.74 (step @p5255 :rule cnf_or_pos :args (@t6272)) % 6.51/6.74 (step @p5256 :rule reordering :premises (@p5255) :args ((or @t6268 @t6271 (not @t6272)))) % 6.51/6.74 (step @p5257 :rule chain_m_resolution :premises (@p5256 @p5254 @p5229) :args (@t6271 @t6283 (@list @t6268 @t6272))) % 6.51/6.74 (step @p5258 :rule refl :args (@t6284)) % 6.51/6.74 (step @p5259 :rule bool-double-not-elim :args (@t6285)) % 6.51/6.74 (step @p5260 :rule refl :args (@t6286)) % 6.51/6.74 (step @p5261 :rule nary_cong :premises (@p5260 @p5259 @p5258) :args ((or @t6286 (not @t6287) @t6284))) % 6.51/6.74 (assume-push @p5279 @t6265) % 6.51/6.74 (assume-push @p5280 @t6287) % 6.51/6.74 (step @p5264 :rule false_intro :premises (@p5210)) % 6.51/6.74 (step @p5265 :rule refl :args (@t141)) % 6.51/6.74 (step @p5266 :rule cong :premises (@p5265 @p5207) :args (@t6271)) % 6.51/6.74 (step @p5267 :rule trans :premises (@p5266 @p5264)) % 6.51/6.74 (step @p5268 :rule false_elim :premises (@p5267)) % 6.51/6.74 (step-pop @p5281 :rule scope :premises (@p5268)) % 6.51/6.74 (step-pop @p5282 :rule scope :premises (@p5281)) % 6.51/6.74 (step @p5269 :rule process_scope :premises (@p5282) :args (@t6284)) % 6.51/6.74 (step @p5272 :rule implies_elim :premises (@p5269)) % 6.51/6.74 (step @p5273 :rule cnf_and_neg :args (@t6288)) % 6.51/6.74 (step @p5274 :rule resolution :premises (@p5273 @p5272) :args (true @t6288)) % 6.51/6.74 (step @p5275 :rule eq_resolve :premises (@p5274 @p5261)) % 6.51/6.74 (step @p5276 false :rule chain_m_resolution :premises (@p5275 @p5257 @p5210 @p5207) :args (false (@list false true false) (@list @t6271 @t6285 @t6265))) % 6.51/6.74 ) % 6.51/6.74 % SZS output end Proof % 6.51/6.74 % cvc5 exiting %------------------------------------------------------------------------------