%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW298+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:04:41 AM UTC 2026 % Result : Theorem 54.38s 54.67s % Output : Proof 35.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW298+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n028.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 21:44:35 EDT 2026 % 0.14/0.34 % CPUTime : % 1.08/1.96 %----Proving TF0_NAR, FOF, or CNF % 54.38/54.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 54.38/54.67 --- Run --no-e-matching --full-saturate-quant at 6... % 54.38/54.67 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 54.38/54.67 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 54.38/54.67 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 54.38/54.67 % SZS status Theorem % 54.38/54.67 % SZS output start Proof % 54.38/54.67 ( % 54.38/54.67 (declare-sort $$unsorted 0) % 54.38/54.67 (declare-const tptp.v_ts $$unsorted) % 54.38/54.67 (declare-const tptp.t_a $$unsorted) % 54.38/54.67 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Equiv__Relations_Opart__equivp (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Partial__Function_Ofun__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Predicate_Osymp (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Predicate_Otransp (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Set_OBex (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Oall__interval__int (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_FunDef_OTHE__default (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Omember (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Oyield (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Enum_Oenum__class_Oenum__all (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__Random__Sequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__DSequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Enum_Oenum__class_Oenum__ex (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Omeasures (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Omaps (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_OremoveAll (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Oembed__list (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Enum_Osublists (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olist__ex1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_FunDef_Ois__measure (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Random__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 54.38/54.67 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Int_OInteg $$unsorted) % 54.38/54.67 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H__rel $$unsorted) % 54.38/54.67 (declare-const tptp.c_Int_Ointrel $$unsorted) % 54.38/54.67 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 54.38/54.67 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 54.38/54.67 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 54.38/54.67 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 54.38/54.67 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Enum_On__lists (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Orderings_Oord__class_OLeast (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 54.38/54.67 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Int_OMin $$unsorted) % 54.38/54.67 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Enum_Oenum__the (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 54.38/54.67 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 54.38/54.67 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 54.38/54.67 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.tc_Nat_Onat $$unsorted) % 54.38/54.67 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Random__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.v_n $$unsorted) % 54.38/54.67 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Quickcheck_Obeyond (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 54.38/54.67 (declare-const tptp.c_Orderings_Oorder__class_Omono (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.tc_HOL_Obool $$unsorted) % 54.38/54.67 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Int_Onat $$unsorted) % 54.38/54.67 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.tc_Int_Oint $$unsorted) % 54.38/54.67 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nat_OSuc $$unsorted) % 54.38/54.67 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olinorder__class_Osort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 54.38/54.67 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Orderings_Oorder__class_Ostrict__mono (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_fequal $$unsorted) % 54.38/54.67 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 54.38/54.67 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Orderings_Oorder_Ostrict__mono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_DSequence_Ounion (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Int_OPls $$unsorted) % 54.38/54.67 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 54.38/54.67 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 54.38/54.67 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 54.38/54.67 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Lazy__Sequence_Osmall__lazy (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 54.38/54.67 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_fdisj $$unsorted) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Oyieldn (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_fNot $$unsorted) % 54.38/54.67 (declare-const tptp.c_fimplies $$unsorted) % 54.38/54.67 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_fconj $$unsorted) % 54.38/54.67 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 54.38/54.67 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Olfp (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 54.38/54.67 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 54.38/54.67 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 54.38/54.67 (declare-const tptp.c_Random__Sequence_Osingle (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Random__Sequence_ORandom (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 54.38/54.67 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_fTrue $$unsorted) % 54.38/54.67 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OInsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Opair__box_OPairBox (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 54.38/54.67 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 54.38/54.67 (declare-const tptp.c_DSequence_Osingle (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_DSequence_Oempty (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Random__Sequence_Oempty (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.tc_Nitpick_Opair__box (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 54.38/54.67 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Enum_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Oreturn__list (-> $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_fFalse $$unsorted) % 54.38/54.67 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.class_Nat_Osize (-> $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Orderings_Oorder_Omono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 54.38/54.67 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.38/54.67 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 54.38/54.67 (define @t1 () (@var "V_g_2" $$unsorted)) % 54.38/54.67 (define @t2 () (@var "V_f_2" $$unsorted)) % 54.38/54.67 (define @t3 () (@var "B_x" $$unsorted)) % 54.38/54.67 (define @t4 () (tptp.hAPP @t1 @t3)) % 54.38/54.67 (define @t5 () (tptp.hAPP @t2 @t3)) % 54.38/54.67 (define @t6 () (= @t5 @t4)) % 54.38/54.67 (define @t7 () (@list @t3)) % 54.38/54.67 (define @t8 () (@var "V_t" $$unsorted)) % 54.38/54.67 (define @t9 () (@var "V_n" $$unsorted)) % 54.38/54.67 (define @t10 () (@var "T_a" $$unsorted)) % 54.38/54.67 (define @t11 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t9 @t8)) % 54.38/54.67 (define @t12 () (tptp.hAPP tptp.c_Nat_OSuc @t9)) % 54.38/54.67 (define @t13 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t12 @t8)) % 54.38/54.67 (define @t14 () (@list @t8 @t9 @t10)) % 54.38/54.67 (define @t15 () (forall @t14 (=> @t13 @t11))) % 54.38/54.67 (define @t16 () (@var "B_n" $$unsorted)) % 54.38/54.67 (define @t17 () (@var "T_b" $$unsorted)) % 54.38/54.67 (define @t18 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t17 @t16 @t3)) % 54.38/54.67 (define @t19 () (@var "V_tsa_2" $$unsorted)) % 54.38/54.67 (define @t20 () (tptp.hAPP (tptp.c_member (tptp.tc_Hoare__Mirabelle_Otriple @t17)) @t3)) % 54.38/54.67 (define @t21 () (@var "V_G_2" $$unsorted)) % 54.38/54.67 (define @t22 () (@list @t16)) % 54.38/54.67 (define @t23 () (@list @t9)) % 54.38/54.67 (define @t24 () (@var "V_nat_H_2" $$unsorted)) % 54.38/54.67 (define @t25 () (@var "V_nat_2" $$unsorted)) % 54.38/54.67 (define @t26 () (tptp.hAPP tptp.c_Nat_OSuc @t25)) % 54.38/54.67 (define @t27 () (@var "V_y" $$unsorted)) % 54.38/54.67 (define @t28 () (@var "V_x" $$unsorted)) % 54.38/54.67 (define @t29 () (= @t28 @t27)) % 54.38/54.67 (define @t30 () (@list @t27 @t28)) % 54.38/54.67 (define @t31 () (@var "V_i_2" $$unsorted)) % 54.38/54.67 (define @t32 () (@var "V_inc_2" $$unsorted)) % 54.38/54.67 (define @t33 () (@var "V_na_2" $$unsorted)) % 54.38/54.67 (define @t34 () (tptp.hAPP tptp.c_Nat_OSuc @t33)) % 54.38/54.67 (define @t35 () (tptp.class_Rings_Osemiring__1 @t17)) % 54.38/54.67 (define @t36 () (@var "V_a_2" $$unsorted)) % 54.38/54.67 (define @t37 () (@var "V_times_2" $$unsorted)) % 54.38/54.67 (define @t38 () (@var "V_one_2" $$unsorted)) % 54.38/54.67 (define @t39 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t17 @t38 @t37) @t36)) % 54.38/54.67 (define @t40 () (@var "V_f2_2" $$unsorted)) % 54.38/54.67 (define @t41 () (tptp.hAPP @t40 @t25)) % 54.38/54.67 (define @t42 () (@var "V_f1_2" $$unsorted)) % 54.38/54.67 (define @t43 () (@list @t25 @t40 @t42 @t17)) % 54.38/54.67 (define @t44 () (tptp.c_Nat_Onat_Onat__rec @t17 @t42 @t40)) % 54.38/54.67 (define @t45 () (@list @t17)) % 54.38/54.67 (define @t46 () (tptp.hAPP tptp.c_Nat_OSuc @t16)) % 54.38/54.67 (define @t47 () (tptp.hAPP @t2 @t46)) % 54.38/54.67 (define @t48 () (tptp.hAPP @t2 @t16)) % 54.38/54.67 (define @t49 () (tptp.c_Orderings_Oord__class_Oless__eq @t17)) % 54.38/54.67 (define @t50 () (tptp.class_Orderings_Oorder @t17)) % 54.38/54.67 (define @t51 () (@list @t2 @t17)) % 54.38/54.67 (define @t52 () (tptp.hAPP @t2 @t33)) % 54.38/54.67 (define @t53 () (@var "V_h_2" $$unsorted)) % 54.38/54.67 (define @t54 () (tptp.hAPP @t2 @t34)) % 54.38/54.67 (define @t55 () (@var "V_c_2" $$unsorted)) % 54.38/54.67 (define @t56 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t57 () (@list @t40 @t42 @t17)) % 54.38/54.67 (define @t58 () (@var "V_m" $$unsorted)) % 54.38/54.67 (define @t59 () (tptp.hAPP tptp.c_Nat_OSuc @t58)) % 54.38/54.67 (define @t60 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t61 () (tptp.hAPP @t60 @t59)) % 54.38/54.67 (define @t62 () (tptp.hBOOL (tptp.hAPP @t61 @t12))) % 54.38/54.67 (define @t63 () (tptp.hAPP @t60 @t58)) % 54.38/54.67 (define @t64 () (tptp.hBOOL (tptp.hAPP @t63 @t9))) % 54.38/54.67 (define @t65 () (@list @t9 @t58)) % 54.38/54.67 (define @t66 () (tptp.hAPP @t60 @t9)) % 54.38/54.67 (define @t67 () (@var "T_c" $$unsorted)) % 54.38/54.67 (define @t68 () (tptp.c_Orderings_Oorder__class_Omono @t17 @t67 @t2)) % 54.38/54.67 (define @t69 () (tptp.c_Orderings_Oorder__class_Ostrict__mono @t17 @t67 @t2)) % 54.38/54.67 (define @t70 () (tptp.class_Orderings_Oorder @t67)) % 54.38/54.67 (define @t71 () (and @t70 @t50)) % 54.38/54.67 (define @t72 () (@list @t2 @t17 @t67)) % 54.38/54.67 (define @t73 () (@list @t58)) % 54.38/54.67 (define @t74 () (@var "V_nat_H_1" $$unsorted)) % 54.38/54.67 (define @t75 () (tptp.c_Orderings_Oord__class_Oless__eq @t10)) % 54.38/54.67 (define @t76 () (tptp.hAPP @t75 @t28)) % 54.38/54.67 (define @t77 () (tptp.class_Orderings_Opreorder @t10)) % 54.38/54.67 (define @t78 () (@list @t28 @t10)) % 54.38/54.67 (define @t79 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t80 () (tptp.hAPP @t79 @t56)) % 54.38/54.67 (define @t81 () (tptp.hAPP @t60 @t56)) % 54.38/54.67 (define @t82 () (tptp.hBOOL (tptp.hAPP @t81 @t33))) % 54.38/54.67 (define @t83 () (= @t33 @t56)) % 54.38/54.67 (define @t84 () (not @t83)) % 54.38/54.67 (define @t85 () (@list @t33)) % 54.38/54.67 (define @t86 () (@var "V_m_2" $$unsorted)) % 54.38/54.67 (define @t87 () (tptp.hAPP @t60 @t33)) % 54.38/54.67 (define @t88 () (tptp.hBOOL (tptp.hAPP @t87 @t86))) % 54.38/54.67 (define @t89 () (tptp.hAPP @t60 @t86)) % 54.38/54.67 (define @t90 () (tptp.hBOOL (tptp.hAPP @t89 @t33))) % 54.38/54.67 (define @t91 () (= @t86 @t33)) % 54.38/54.67 (define @t92 () (not @t91)) % 54.38/54.67 (define @t93 () (@list @t33 @t86)) % 54.38/54.67 (define @t94 () (tptp.hAPP @t79 @t33)) % 54.38/54.67 (define @t95 () (tptp.hAPP @t79 @t86)) % 54.38/54.67 (define @t96 () (tptp.hBOOL (tptp.hAPP @t95 @t33))) % 54.38/54.67 (define @t97 () (or @t90 @t91)) % 54.38/54.67 (define @t98 () (tptp.hAPP @t60 @t28)) % 54.38/54.67 (define @t99 () (tptp.hBOOL (tptp.hAPP @t98 @t27))) % 54.38/54.67 (define @t100 () (not @t29)) % 54.38/54.67 (define @t101 () (= @t9 @t56)) % 54.38/54.67 (define @t102 () (not @t101)) % 54.38/54.67 (define @t103 () (= @t58 @t9)) % 54.38/54.67 (define @t104 () (not @t103)) % 54.38/54.67 (define @t105 () (tptp.hBOOL (tptp.hAPP @t66 @t58))) % 54.38/54.67 (define @t106 () (@list @t58 @t9)) % 54.38/54.67 (define @t107 () (@var "V_s" $$unsorted)) % 54.38/54.67 (define @t108 () (tptp.hAPP @t79 @t58)) % 54.38/54.67 (define @t109 () (tptp.hBOOL (tptp.hAPP @t108 @t9))) % 54.38/54.67 (define @t110 () (tptp.hBOOL (tptp.hAPP @t81 @t9))) % 54.38/54.67 (define @t111 () (@var "V_P_2" $$unsorted)) % 54.38/54.67 (define @t112 () (tptp.hAPP @t111 @t33)) % 54.38/54.67 (define @t113 () (tptp.hBOOL (tptp.hAPP @t112 @t86))) % 54.38/54.67 (define @t114 () (tptp.c_Orderings_Oord__class_Oless @t10)) % 54.38/54.67 (define @t115 () (tptp.hAPP @t114 @t27)) % 54.38/54.67 (define @t116 () (tptp.hBOOL (tptp.hAPP @t115 @t28))) % 54.38/54.67 (define @t117 () (tptp.hAPP @t114 @t28)) % 54.38/54.67 (define @t118 () (tptp.hBOOL (tptp.hAPP @t117 @t27))) % 54.38/54.67 (define @t119 () (not @t118)) % 54.38/54.67 (define @t120 () (tptp.class_Orderings_Olinorder @t10)) % 54.38/54.67 (define @t121 () (@list @t27 @t28 @t10)) % 54.38/54.67 (define @t122 () (tptp.hAPP @t75 @t27)) % 54.38/54.67 (define @t123 () (tptp.hBOOL (tptp.hAPP @t122 @t28))) % 54.38/54.67 (define @t124 () (tptp.hBOOL (tptp.hAPP @t76 @t27))) % 54.38/54.67 (define @t125 () (@var "V_x_2" $$unsorted)) % 54.38/54.67 (define @t126 () (tptp.hAPP @t1 @t125)) % 54.38/54.67 (define @t127 () (tptp.hAPP @t2 @t125)) % 54.38/54.67 (define @t128 () (tptp.c_Orderings_Oord__class_Oless__eq @t67)) % 54.38/54.67 (define @t129 () (tptp.hAPP @t128 @t127)) % 54.38/54.67 (define @t130 () (tptp.tc_fun @t17 @t67)) % 54.38/54.67 (define @t131 () (tptp.c_Orderings_Oord__class_Oless__eq @t130)) % 54.38/54.67 (define @t132 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t131 @t2) @t1))) % 54.38/54.67 (define @t133 () (tptp.class_Orderings_Oord @t67)) % 54.38/54.67 (define @t134 () (@var "V_z" $$unsorted)) % 54.38/54.67 (define @t135 () (tptp.hAPP @t75 @t134)) % 54.38/54.67 (define @t136 () (tptp.hBOOL (tptp.hAPP @t135 @t28))) % 54.38/54.67 (define @t137 () (tptp.hBOOL (tptp.hAPP @t135 @t27))) % 54.38/54.67 (define @t138 () (tptp.class_Orderings_Oorder @t10)) % 54.38/54.67 (define @t139 () (@list @t134 @t28 @t27 @t10)) % 54.38/54.67 (define @t140 () (@list @t28 @t27 @t10)) % 54.38/54.67 (define @t141 () (tptp.hAPP @t114 @t134)) % 54.38/54.67 (define @t142 () (tptp.hBOOL (tptp.hAPP @t141 @t28))) % 54.38/54.67 (define @t143 () (=> (tptp.hBOOL (tptp.hAPP @t141 @t27)) @t142)) % 54.38/54.67 (define @t144 () (tptp.hBOOL (tptp.hAPP @t76 @t134))) % 54.38/54.67 (define @t145 () (tptp.hBOOL (tptp.hAPP @t122 @t134))) % 54.38/54.67 (define @t146 () (@list @t134 @t27 @t28 @t10)) % 54.38/54.67 (define @t147 () (tptp.hBOOL (tptp.hAPP @t117 @t134))) % 54.38/54.67 (define @t148 () (=> (tptp.hBOOL (tptp.hAPP @t115 @t134)) @t147)) % 54.38/54.67 (define @t149 () (@var "V_a" $$unsorted)) % 54.38/54.67 (define @t150 () (@var "V_c" $$unsorted)) % 54.38/54.67 (define @t151 () (tptp.hAPP @t75 @t150)) % 54.38/54.67 (define @t152 () (tptp.hBOOL (tptp.hAPP @t151 @t149))) % 54.38/54.67 (define @t153 () (@var "V_b" $$unsorted)) % 54.38/54.67 (define @t154 () (= @t153 @t150)) % 54.38/54.67 (define @t155 () (tptp.hAPP @t75 @t153)) % 54.38/54.67 (define @t156 () (tptp.hBOOL (tptp.hAPP @t155 @t149))) % 54.38/54.67 (define @t157 () (@list @t150 @t149 @t153 @t10)) % 54.38/54.67 (define @t158 () (tptp.hAPP @t75 @t149)) % 54.38/54.67 (define @t159 () (tptp.hBOOL (tptp.hAPP @t158 @t150))) % 54.38/54.67 (define @t160 () (tptp.hBOOL (tptp.hAPP @t158 @t153))) % 54.38/54.67 (define @t161 () (tptp.class_Orderings_Oord @t10)) % 54.38/54.67 (define @t162 () (@list @t150 @t153 @t149 @t10)) % 54.38/54.67 (define @t163 () (tptp.hAPP @t114 @t150)) % 54.38/54.67 (define @t164 () (tptp.hBOOL (tptp.hAPP @t163 @t149))) % 54.38/54.67 (define @t165 () (tptp.hAPP @t114 @t153)) % 54.38/54.67 (define @t166 () (tptp.hBOOL (tptp.hAPP @t165 @t149))) % 54.38/54.67 (define @t167 () (tptp.hAPP @t114 @t149)) % 54.38/54.67 (define @t168 () (tptp.hBOOL (tptp.hAPP @t167 @t150))) % 54.38/54.67 (define @t169 () (tptp.hBOOL (tptp.hAPP @t167 @t153))) % 54.38/54.67 (define @t170 () (= @t149 @t153)) % 54.38/54.67 (define @t171 () (tptp.hBOOL (tptp.hAPP @t155 @t150))) % 54.38/54.67 (define @t172 () (tptp.hBOOL (tptp.hAPP @t165 @t150))) % 54.38/54.67 (define @t173 () (@list @t149 @t153 @t10)) % 54.38/54.67 (define @t174 () (@list @t153 @t149 @t10)) % 54.38/54.67 (define @t175 () (not @t170)) % 54.38/54.67 (define @t176 () (@var "V_y_2" $$unsorted)) % 54.38/54.67 (define @t177 () (= @t125 @t176)) % 54.38/54.67 (define @t178 () (tptp.hAPP @t49 @t125)) % 54.38/54.67 (define @t179 () (tptp.hBOOL (tptp.hAPP @t178 @t176))) % 54.38/54.67 (define @t180 () (= @t179 @t177)) % 54.38/54.67 (define @t181 () (tptp.hAPP @t49 @t176)) % 54.38/54.67 (define @t182 () (tptp.hBOOL (tptp.hAPP @t181 @t125))) % 54.38/54.67 (define @t183 () (@list @t125 @t176 @t17)) % 54.38/54.67 (define @t184 () (not (= @t27 @t28))) % 54.38/54.67 (define @t185 () (tptp.c_Orderings_Oord__class_Oless @t17)) % 54.38/54.67 (define @t186 () (tptp.hAPP @t185 @t125)) % 54.38/54.67 (define @t187 () (tptp.hBOOL (tptp.hAPP @t186 @t176))) % 54.38/54.67 (define @t188 () (not @t187)) % 54.38/54.67 (define @t189 () (= @t188 @t177)) % 54.38/54.67 (define @t190 () (tptp.class_Orderings_Olinorder @t17)) % 54.38/54.67 (define @t191 () (@list @t176 @t125 @t17)) % 54.38/54.67 (define @t192 () (=> @t100 (=> @t119 @t116))) % 54.38/54.67 (define @t193 () (tptp.hAPP @t185 @t176)) % 54.38/54.67 (define @t194 () (tptp.hBOOL (tptp.hAPP @t193 @t125))) % 54.38/54.67 (define @t195 () (tptp.hAPP @t2 @t176)) % 54.38/54.67 (define @t196 () (tptp.c_Orderings_Oord__class_Oless @t67)) % 54.38/54.67 (define @t197 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t196 @t127) @t195))) % 54.38/54.67 (define @t198 () (@list @t176 @t125 @t2 @t17 @t67)) % 54.38/54.67 (define @t199 () (tptp.hBOOL (tptp.hAPP @t129 @t195))) % 54.38/54.67 (define @t200 () (and @t70 @t190)) % 54.38/54.67 (define @t201 () (= @t127 @t195)) % 54.38/54.67 (define @t202 () (= @t201 @t177)) % 54.38/54.67 (define @t203 () (not @t177)) % 54.38/54.67 (define @t204 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t5) @t4))) % 54.38/54.67 (define @t205 () (@list @t1 @t2 @t17 @t67)) % 54.38/54.67 (define @t206 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t59) @t9))) % 54.38/54.67 (define @t207 () (= @t33 @t86)) % 54.38/54.67 (define @t208 () (tptp.hAPP tptp.c_Nat_OSuc @t86)) % 54.38/54.67 (define @t209 () (tptp.hBOOL (tptp.hAPP @t87 @t208))) % 54.38/54.67 (define @t210 () (= @t209 @t207)) % 54.38/54.67 (define @t211 () (tptp.hBOOL (tptp.hAPP @t63 @t12))) % 54.38/54.67 (define @t212 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t208) @t33))) % 54.38/54.67 (define @t213 () (tptp.hBOOL (tptp.hAPP @t89 @t34))) % 54.38/54.67 (define @t214 () (tptp.hAPP @t79 @t34)) % 54.38/54.67 (define @t215 () (tptp.hBOOL (tptp.hAPP @t214 @t86))) % 54.38/54.67 (define @t216 () (@list @t86 @t33)) % 54.38/54.67 (define @t217 () (@var "B_j" $$unsorted)) % 54.38/54.67 (define @t218 () (tptp.hAPP @t60 @t217)) % 54.38/54.67 (define @t219 () (@list @t217)) % 54.38/54.67 (define @t220 () (= @t86 @t56)) % 54.38/54.67 (define @t221 () (tptp.hAPP tptp.c_Nat_OSuc @t56)) % 54.38/54.67 (define @t222 () (@var "B_m" $$unsorted)) % 54.38/54.67 (define @t223 () (tptp.hAPP tptp.c_Nat_OSuc @t222)) % 54.38/54.67 (define @t224 () (= @t33 @t223)) % 54.38/54.67 (define @t225 () (@list @t222)) % 54.38/54.67 (define @t226 () (@var "V_A_2" $$unsorted)) % 54.38/54.67 (define @t227 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t17 @t67)) % 54.38/54.67 (define @t228 () (tptp.hAPP @t227 @t226)) % 54.38/54.67 (define @t229 () (tptp.hAPP @t228 @t2)) % 54.38/54.67 (define @t230 () (@var "V_B_2" $$unsorted)) % 54.38/54.67 (define @t231 () (tptp.tc_fun @t17 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t232 () (tptp.c_Orderings_Oord__class_Oless__eq @t231)) % 54.38/54.67 (define @t233 () (tptp.hAPP @t232 @t226)) % 54.38/54.67 (define @t234 () (tptp.hBOOL (tptp.hAPP @t233 @t230))) % 54.38/54.67 (define @t235 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t67)) % 54.38/54.67 (define @t236 () (@list @t2 @t230 @t226 @t17 @t67)) % 54.38/54.67 (define @t237 () (not @t88)) % 54.38/54.67 (define @t238 () (tptp.hBOOL (tptp.hAPP @t61 @t9))) % 54.38/54.67 (define @t239 () (@var "V_k" $$unsorted)) % 54.38/54.67 (define @t240 () (@var "V_i" $$unsorted)) % 54.38/54.67 (define @t241 () (tptp.hAPP tptp.c_Nat_OSuc @t240)) % 54.38/54.67 (define @t242 () (@var "V_j" $$unsorted)) % 54.38/54.67 (define @t243 () (tptp.hAPP @t60 @t242)) % 54.38/54.67 (define @t244 () (tptp.hBOOL (tptp.hAPP @t243 @t239))) % 54.38/54.67 (define @t245 () (tptp.hAPP @t60 @t240)) % 54.38/54.67 (define @t246 () (tptp.hBOOL (tptp.hAPP @t245 @t242))) % 54.38/54.67 (define @t247 () (@list @t239 @t242 @t240)) % 54.38/54.67 (define @t248 () (not @t64)) % 54.38/54.67 (define @t249 () (not @t96)) % 54.38/54.67 (define @t250 () (tptp.hBOOL (tptp.hAPP @t95 @t34))) % 54.38/54.67 (define @t251 () (tptp.hBOOL (tptp.hAPP @t94 @t86))) % 54.38/54.67 (define @t252 () (tptp.hBOOL (tptp.hAPP @t108 @t12))) % 54.38/54.67 (define @t253 () (@var "V_nat_H" $$unsorted)) % 54.38/54.67 (define @t254 () (tptp.c_Power_Opower__class_Opower @t10)) % 54.38/54.67 (define @t255 () (tptp.hAPP @t254 @t153)) % 54.38/54.67 (define @t256 () (tptp.hAPP @t255 @t9)) % 54.38/54.67 (define @t257 () (tptp.hAPP @t254 @t149)) % 54.38/54.67 (define @t258 () (tptp.hAPP @t257 @t9)) % 54.38/54.67 (define @t259 () (tptp.hAPP @t114 @t258)) % 54.38/54.67 (define @t260 () (tptp.hBOOL (tptp.hAPP @t259 @t256))) % 54.38/54.67 (define @t261 () (tptp.c_Groups_Ozero__class_Ozero @t10)) % 54.38/54.67 (define @t262 () (tptp.hAPP @t75 @t261)) % 54.38/54.67 (define @t263 () (tptp.hBOOL (tptp.hAPP @t262 @t149))) % 54.38/54.67 (define @t264 () (tptp.class_Rings_Olinordered__semidom @t10)) % 54.38/54.67 (define @t265 () (@list @t9 @t153 @t149 @t10)) % 54.38/54.67 (define @t266 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t17)) % 54.38/54.67 (define @t267 () (tptp.hAPP @t266 @t33)) % 54.38/54.67 (define @t268 () (tptp.c_Groups_Ozero__class_Ozero @t17)) % 54.38/54.67 (define @t269 () (tptp.hAPP @t185 @t268)) % 54.38/54.67 (define @t270 () (tptp.class_Rings_Olinordered__semidom @t17)) % 54.38/54.67 (define @t271 () (@list @t33 @t17)) % 54.38/54.67 (define @t272 () (tptp.hAPP @t2 @t86)) % 54.38/54.67 (define @t273 () (tptp.hAPP @t185 @t52)) % 54.38/54.67 (define @t274 () (forall @t22 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t48) @t47)))) % 54.38/54.67 (define @t275 () (@var "V_n_H_2" $$unsorted)) % 54.38/54.67 (define @t276 () (tptp.hBOOL (tptp.hAPP @t262 @t153))) % 54.38/54.67 (define @t277 () (@list @t153 @t9 @t149 @t10)) % 54.38/54.67 (define @t278 () (tptp.hAPP @t79 @t28)) % 54.38/54.67 (define @t279 () (tptp.hBOOL (tptp.hAPP @t278 @t27))) % 54.38/54.67 (define @t280 () (tptp.class_Rings_Olinordered__idom @t10)) % 54.38/54.67 (define @t281 () (= @t125 @t268)) % 54.38/54.67 (define @t282 () (@list @t125 @t17)) % 54.38/54.67 (define @t283 () (@var "B_y" $$unsorted)) % 54.38/54.67 (define @t284 () (tptp.hAPP @t2 @t283)) % 54.38/54.67 (define @t285 () (tptp.hAPP @t196 @t5)) % 54.38/54.67 (define @t286 () (tptp.hAPP @t185 @t3)) % 54.38/54.67 (define @t287 () (@list @t3 @t283)) % 54.38/54.67 (define @t288 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t289 () (tptp.hAPP @t288 @t58)) % 54.38/54.67 (define @t290 () (tptp.hAPP @t289 @t9)) % 54.38/54.67 (define @t291 () (tptp.hAPP @t60 @t221)) % 54.38/54.67 (define @t292 () (tptp.hBOOL (tptp.hAPP @t291 @t58))) % 54.38/54.67 (define @t293 () (tptp.hBOOL (tptp.hAPP @t291 @t9))) % 54.38/54.67 (define @t294 () (tptp.hAPP @t79 @t9)) % 54.38/54.67 (define @t295 () (tptp.hAPP @t289 @t58)) % 54.38/54.67 (define @t296 () (tptp.hBOOL (tptp.hAPP @t294 @t58))) % 54.38/54.67 (define @t297 () (tptp.hAPP @t288 @t242)) % 54.38/54.67 (define @t298 () (tptp.hAPP @t297 @t239)) % 54.38/54.67 (define @t299 () (tptp.hAPP @t288 @t240)) % 54.38/54.67 (define @t300 () (tptp.hAPP @t299 @t239)) % 54.38/54.67 (define @t301 () (tptp.hAPP @t79 @t300)) % 54.38/54.67 (define @t302 () (tptp.hAPP @t79 @t240)) % 54.38/54.67 (define @t303 () (tptp.hBOOL (tptp.hAPP @t302 @t242))) % 54.38/54.67 (define @t304 () (tptp.hAPP @t288 @t239)) % 54.38/54.67 (define @t305 () (tptp.hAPP @t304 @t242)) % 54.38/54.67 (define @t306 () (tptp.hAPP @t304 @t240)) % 54.38/54.67 (define @t307 () (tptp.hAPP @t79 @t242)) % 54.38/54.67 (define @t308 () (@var "V_l" $$unsorted)) % 54.38/54.67 (define @t309 () (tptp.hAPP @t79 @t239)) % 54.38/54.67 (define @t310 () (tptp.hBOOL (tptp.hAPP @t309 @t308))) % 54.38/54.67 (define @t311 () (@list @t308 @t239 @t242 @t240)) % 54.38/54.67 (define @t312 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t130) @t2) @t1))) % 54.38/54.67 (define @t313 () (tptp.c_Groups_Otimes__class_Otimes @t10)) % 54.38/54.67 (define @t314 () (tptp.hAPP @t313 @t153)) % 54.38/54.67 (define @t315 () (tptp.hAPP @t314 @t150)) % 54.38/54.67 (define @t316 () (tptp.hAPP @t313 @t149)) % 54.38/54.67 (define @t317 () (tptp.hAPP @t316 @t153)) % 54.38/54.67 (define @t318 () (tptp.hAPP @t313 @t258)) % 54.38/54.67 (define @t319 () (tptp.class_Groups_Ocomm__monoid__mult @t10)) % 54.38/54.67 (define @t320 () (tptp.hAPP @t288 @t9)) % 54.38/54.67 (define @t321 () (tptp.hAPP @t320 @t239)) % 54.38/54.67 (define @t322 () (@list @t239 @t9 @t58)) % 54.38/54.67 (define @t323 () (tptp.hAPP @t316 @t258)) % 54.38/54.67 (define @t324 () (tptp.hAPP @t318 @t149)) % 54.38/54.67 (define @t325 () (tptp.class_Groups_Omonoid__mult @t10)) % 54.38/54.67 (define @t326 () (@list @t9 @t149 @t10)) % 54.38/54.67 (define @t327 () (tptp.hAPP @t266 @t86)) % 54.38/54.67 (define @t328 () (tptp.class_Nat_Osemiring__char__0 @t17)) % 54.38/54.67 (define @t329 () (@list @t33 @t86 @t17)) % 54.38/54.67 (define @t330 () (tptp.hAPP @t257 @t58)) % 54.38/54.67 (define @t331 () (@list @t9 @t58 @t149 @t10)) % 54.38/54.67 (define @t332 () (tptp.hAPP @t320 @t58)) % 54.38/54.67 (define @t333 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t10)) % 54.38/54.67 (define @t334 () (tptp.hAPP @t333 @t9)) % 54.38/54.67 (define @t335 () (tptp.hAPP @t333 @t58)) % 54.38/54.67 (define @t336 () (tptp.class_Rings_Osemiring__1 @t10)) % 54.38/54.67 (define @t337 () (@list @t9 @t58 @t10)) % 54.38/54.67 (define @t338 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t339 () (tptp.hAPP (tptp.hAPP @t338 @t58) @t9)) % 54.38/54.67 (define @t340 () (tptp.hAPP @t257 @t12)) % 54.38/54.67 (define @t341 () (tptp.class_Power_Opower @t10)) % 54.38/54.67 (define @t342 () (= (tptp.hAPP (tptp.hAPP @t313 @t261) @t149) @t261)) % 54.38/54.67 (define @t343 () (tptp.class_Rings_Omult__zero @t10)) % 54.38/54.67 (define @t344 () (@list @t149 @t10)) % 54.38/54.67 (define @t345 () (= (tptp.hAPP @t316 @t261) @t261)) % 54.38/54.67 (define @t346 () (@var "V_b_2" $$unsorted)) % 54.38/54.67 (define @t347 () (= @t346 @t268)) % 54.38/54.67 (define @t348 () (= @t36 @t268)) % 54.38/54.67 (define @t349 () (tptp.c_Groups_Otimes__class_Otimes @t17)) % 54.38/54.67 (define @t350 () (tptp.hAPP @t349 @t36)) % 54.38/54.67 (define @t351 () (tptp.hAPP @t350 @t346)) % 54.38/54.67 (define @t352 () (@list @t346 @t36 @t17)) % 54.38/54.67 (define @t353 () (= @t317 @t261)) % 54.38/54.67 (define @t354 () (= @t153 @t261)) % 54.38/54.67 (define @t355 () (not @t354)) % 54.38/54.67 (define @t356 () (= @t149 @t261)) % 54.38/54.67 (define @t357 () (not @t356)) % 54.38/54.67 (define @t358 () (tptp.class_Rings_Ono__zero__divisors @t10)) % 54.38/54.67 (define @t359 () (@var "V_k_2" $$unsorted)) % 54.38/54.67 (define @t360 () (= @t359 @t56)) % 54.38/54.67 (define @t361 () (or @t91 @t360)) % 54.38/54.67 (define @t362 () (tptp.hAPP @t288 @t33)) % 54.38/54.67 (define @t363 () (tptp.hAPP @t362 @t359)) % 54.38/54.67 (define @t364 () (tptp.hAPP @t288 @t86)) % 54.38/54.67 (define @t365 () (tptp.hAPP @t364 @t359)) % 54.38/54.67 (define @t366 () (@list @t33 @t359 @t86)) % 54.38/54.67 (define @t367 () (tptp.hAPP @t288 @t359)) % 54.38/54.67 (define @t368 () (tptp.hAPP @t367 @t33)) % 54.38/54.67 (define @t369 () (tptp.hAPP @t367 @t86)) % 54.38/54.67 (define @t370 () (= @t369 @t368)) % 54.38/54.67 (define @t371 () (@list @t33 @t86 @t359)) % 54.38/54.67 (define @t372 () (tptp.hAPP @t364 @t33)) % 54.38/54.67 (define @t373 () (tptp.hAPP tptp.c_Nat_OSuc @t359)) % 54.38/54.67 (define @t374 () (tptp.hAPP @t288 @t373)) % 54.38/54.67 (define @t375 () (tptp.hAPP @t374 @t33)) % 54.38/54.67 (define @t376 () (tptp.hAPP @t374 @t86)) % 54.38/54.67 (define @t377 () (tptp.hAPP @t316 @t149)) % 54.38/54.67 (define @t378 () (tptp.class_Rings_Olinordered__ring @t10)) % 54.38/54.67 (define @t379 () (tptp.hAPP @t49 @t346)) % 54.38/54.67 (define @t380 () (tptp.hBOOL (tptp.hAPP @t379 @t268))) % 54.38/54.67 (define @t381 () (tptp.hAPP @t49 @t36)) % 54.38/54.67 (define @t382 () (tptp.hBOOL (tptp.hAPP @t381 @t268))) % 54.38/54.67 (define @t383 () (tptp.hAPP @t49 @t268)) % 54.38/54.67 (define @t384 () (tptp.hBOOL (tptp.hAPP @t383 @t346))) % 54.38/54.67 (define @t385 () (tptp.hBOOL (tptp.hAPP @t383 @t36))) % 54.38/54.67 (define @t386 () (or (and @t385 @t384) (and @t382 @t380))) % 54.38/54.67 (define @t387 () (tptp.class_Rings_Olinordered__ring__strict @t17)) % 54.38/54.67 (define @t388 () (or (and @t385 @t380) (and @t382 @t384))) % 54.38/54.67 (define @t389 () (tptp.hBOOL (tptp.hAPP @t262 @t317))) % 54.38/54.67 (define @t390 () (tptp.class_Rings_Oordered__cancel__semiring @t10)) % 54.38/54.67 (define @t391 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t317) @t261))) % 54.38/54.67 (define @t392 () (tptp.hBOOL (tptp.hAPP @t155 @t261))) % 54.38/54.67 (define @t393 () (tptp.hAPP @t314 @t149)) % 54.38/54.67 (define @t394 () (tptp.hBOOL (tptp.hAPP @t158 @t261))) % 54.38/54.67 (define @t395 () (tptp.class_Rings_Oordered__ring @t10)) % 54.38/54.67 (define @t396 () (tptp.hAPP @t316 @t150)) % 54.38/54.67 (define @t397 () (tptp.hAPP @t75 @t396)) % 54.38/54.67 (define @t398 () (tptp.hBOOL (tptp.hAPP @t397 @t315))) % 54.38/54.67 (define @t399 () (tptp.hBOOL (tptp.hAPP @t262 @t150))) % 54.38/54.67 (define @t400 () (tptp.class_Rings_Oordered__semiring @t10)) % 54.38/54.67 (define @t401 () (tptp.hAPP @t313 @t150)) % 54.38/54.67 (define @t402 () (tptp.hAPP @t401 @t153)) % 54.38/54.67 (define @t403 () (tptp.hAPP @t401 @t149)) % 54.38/54.67 (define @t404 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t403) @t402))) % 54.38/54.67 (define @t405 () (=> @t160 (=> @t399 @t404))) % 54.38/54.67 (define @t406 () (tptp.hBOOL (tptp.hAPP @t151 @t261))) % 54.38/54.67 (define @t407 () (@var "V_d" $$unsorted)) % 54.38/54.67 (define @t408 () (tptp.hAPP @t314 @t407)) % 54.38/54.67 (define @t409 () (=> @t399 (tptp.hBOOL (tptp.hAPP @t397 @t408)))) % 54.38/54.67 (define @t410 () (tptp.hBOOL (tptp.hAPP @t151 @t407))) % 54.38/54.67 (define @t411 () (@list @t407 @t150 @t153 @t149 @t10)) % 54.38/54.67 (define @t412 () (tptp.hAPP @t185 @t346)) % 54.38/54.67 (define @t413 () (tptp.hBOOL (tptp.hAPP @t412 @t36))) % 54.38/54.67 (define @t414 () (tptp.hAPP @t185 @t55)) % 54.38/54.67 (define @t415 () (tptp.hBOOL (tptp.hAPP @t414 @t268))) % 54.38/54.67 (define @t416 () (tptp.hAPP @t185 @t36)) % 54.38/54.67 (define @t417 () (tptp.hBOOL (tptp.hAPP @t416 @t346))) % 54.38/54.67 (define @t418 () (tptp.hBOOL (tptp.hAPP @t269 @t55))) % 54.38/54.67 (define @t419 () (or (and @t418 @t417) (and @t415 @t413))) % 54.38/54.67 (define @t420 () (tptp.hAPP @t349 @t346)) % 54.38/54.67 (define @t421 () (tptp.hAPP @t420 @t55)) % 54.38/54.67 (define @t422 () (tptp.hAPP @t350 @t55)) % 54.38/54.67 (define @t423 () (tptp.hAPP @t185 @t422)) % 54.38/54.67 (define @t424 () (@list @t346 @t55 @t36 @t17)) % 54.38/54.67 (define @t425 () (tptp.hAPP @t349 @t55)) % 54.38/54.67 (define @t426 () (tptp.hAPP @t425 @t346)) % 54.38/54.67 (define @t427 () (tptp.hAPP @t425 @t36)) % 54.38/54.67 (define @t428 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t427) @t426))) % 54.38/54.67 (define @t429 () (@list @t346 @t36 @t55 @t17)) % 54.38/54.67 (define @t430 () (tptp.hAPP @t114 @t261)) % 54.38/54.67 (define @t431 () (tptp.hBOOL (tptp.hAPP @t430 @t317))) % 54.38/54.67 (define @t432 () (tptp.hBOOL (tptp.hAPP @t430 @t153))) % 54.38/54.67 (define @t433 () (tptp.hBOOL (tptp.hAPP @t430 @t149))) % 54.38/54.67 (define @t434 () (tptp.class_Rings_Olinordered__semiring__strict @t10)) % 54.38/54.67 (define @t435 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t317) @t261))) % 54.38/54.67 (define @t436 () (tptp.hBOOL (tptp.hAPP @t165 @t261))) % 54.38/54.67 (define @t437 () (=> @t433 @t432)) % 54.38/54.67 (define @t438 () (tptp.hBOOL (tptp.hAPP @t167 @t261))) % 54.38/54.67 (define @t439 () (tptp.class_Rings_Olinordered__ring__strict @t10)) % 54.38/54.67 (define @t440 () (tptp.hAPP @t114 @t396)) % 54.38/54.67 (define @t441 () (tptp.hBOOL (tptp.hAPP @t440 @t315))) % 54.38/54.67 (define @t442 () (tptp.hBOOL (tptp.hAPP @t430 @t150))) % 54.38/54.67 (define @t443 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t403) @t402))) % 54.38/54.67 (define @t444 () (=> @t169 (=> @t442 @t443))) % 54.38/54.67 (define @t445 () (tptp.hBOOL (tptp.hAPP @t163 @t261))) % 54.38/54.67 (define @t446 () (tptp.hAPP @t75 @t258)) % 54.38/54.67 (define @t447 () (tptp.c_Power_Opower__class_Opower @t17)) % 54.38/54.67 (define @t448 () (tptp.hAPP @t447 @t36)) % 54.38/54.67 (define @t449 () (tptp.hAPP @t448 @t33)) % 54.38/54.67 (define @t450 () (tptp.class_Power_Opower @t17)) % 54.38/54.67 (define @t451 () (@list @t33 @t36 @t17)) % 54.38/54.67 (define @t452 () (tptp.hAPP @t254 @t261)) % 54.38/54.67 (define @t453 () (and @t341 (tptp.class_Rings_Osemiring__0 @t10))) % 54.38/54.67 (define @t454 () (@list @t9 @t10)) % 54.38/54.67 (define @t455 () (tptp.hBOOL (tptp.hAPP @t381 @t346))) % 54.38/54.67 (define @t456 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t427) @t426))) % 54.38/54.67 (define @t457 () (tptp.hBOOL (tptp.hAPP @t379 @t36))) % 54.38/54.67 (define @t458 () (tptp.hBOOL (tptp.hAPP @t440 @t408))) % 54.38/54.67 (define @t459 () (=> @t399 @t458)) % 54.38/54.67 (define @t460 () (tptp.hBOOL (tptp.hAPP @t163 @t407))) % 54.38/54.67 (define @t461 () (=> @t399 @t169)) % 54.38/54.67 (define @t462 () (=> @t441 @t461)) % 54.38/54.67 (define @t463 () (tptp.class_Rings_Olinordered__semiring @t10)) % 54.38/54.67 (define @t464 () (@list @t153 @t150 @t149 @t10)) % 54.38/54.67 (define @t465 () (=> @t443 @t461)) % 54.38/54.67 (define @t466 () (@list @t153 @t149 @t150 @t10)) % 54.38/54.67 (define @t467 () (=> @t442 @t160)) % 54.38/54.67 (define @t468 () (tptp.hAPP @t338 @t125)) % 54.38/54.67 (define @t469 () (tptp.hAPP @t338 @t240)) % 54.38/54.67 (define @t470 () (tptp.hAPP @t469 @t9)) % 54.38/54.67 (define @t471 () (tptp.hAPP @t79 @t221)) % 54.38/54.67 (define @t472 () (@list @t9 @t240)) % 54.38/54.67 (define @t473 () (tptp.hAPP @t469 @t58)) % 54.38/54.67 (define @t474 () (@list @t9 @t58 @t240)) % 54.38/54.67 (define @t475 () (@list @t33 @t125)) % 54.38/54.67 (define @t476 () (@list @t58 @t10)) % 54.38/54.67 (define @t477 () (tptp.hAPP @t114 @t335)) % 54.38/54.67 (define @t478 () (@list @t10)) % 54.38/54.67 (define @t479 () (= @t33 @t221)) % 54.38/54.67 (define @t480 () (= @t86 @t221)) % 54.38/54.67 (define @t481 () (tptp.hBOOL (tptp.hAPP @t477 @t334))) % 54.38/54.67 (define @t482 () (tptp.hBOOL (tptp.hAPP @t81 @t239))) % 54.38/54.67 (define @t483 () (tptp.hBOOL (tptp.hAPP @t81 @t359))) % 54.38/54.67 (define @t484 () (=> @t483 @t96)) % 54.38/54.67 (define @t485 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t369) @t368))) % 54.38/54.67 (define @t486 () (and @t483 @t90)) % 54.38/54.67 (define @t487 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t369) @t368))) % 54.38/54.67 (define @t488 () (tptp.hBOOL (tptp.hAPP @t81 @t86))) % 54.38/54.67 (define @t489 () (tptp.hAPP @t255 @t12)) % 54.38/54.67 (define @t490 () (@var "V_q" $$unsorted)) % 54.38/54.67 (define @t491 () (tptp.hAPP @t254 @t28)) % 54.38/54.67 (define @t492 () (tptp.hAPP @t491 @t490)) % 54.38/54.67 (define @t493 () (tptp.hAPP @t313 @t28)) % 54.38/54.67 (define @t494 () (tptp.hAPP @t493 @t492)) % 54.38/54.67 (define @t495 () (tptp.hAPP @t491 (tptp.hAPP tptp.c_Nat_OSuc @t490))) % 54.38/54.67 (define @t496 () (tptp.class_Rings_Ocomm__semiring__1 @t10)) % 54.38/54.67 (define @t497 () (@list @t490 @t28 @t10)) % 54.38/54.67 (define @t498 () (tptp.hAPP @t313 @t492)) % 54.38/54.67 (define @t499 () (= @t226 @t230)) % 54.38/54.67 (define @t500 () (tptp.hAPP @t232 @t230)) % 54.38/54.67 (define @t501 () (tptp.hBOOL (tptp.hAPP @t500 @t226))) % 54.38/54.67 (define @t502 () (@list @t230 @t226 @t17)) % 54.38/54.67 (define @t503 () (@var "V_p" $$unsorted)) % 54.38/54.67 (define @t504 () (tptp.hAPP @t288 @t503)) % 54.38/54.67 (define @t505 () (tptp.hAPP @t491 @t503)) % 54.38/54.67 (define @t506 () (@list @t490 @t503 @t28 @t10)) % 54.38/54.67 (define @t507 () (tptp.hAPP @t254 @t27)) % 54.38/54.67 (define @t508 () (tptp.hAPP @t493 @t27)) % 54.38/54.67 (define @t509 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 54.38/54.67 (define @t510 () (tptp.hAPP @t509 @t33)) % 54.38/54.67 (define @t511 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 54.38/54.67 (define @t512 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 54.38/54.67 (define @t513 () (tptp.hAPP @t512 @t511)) % 54.38/54.67 (define @t514 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 54.38/54.67 (define @t515 () (tptp.hAPP @t514 @t239)) % 54.38/54.67 (define @t516 () (tptp.hBOOL (tptp.hAPP @t513 @t239))) % 54.38/54.67 (define @t517 () (tptp.hAPP @t512 @t240)) % 54.38/54.67 (define @t518 () (tptp.hBOOL (tptp.hAPP @t517 @t242))) % 54.38/54.67 (define @t519 () (tptp.hAPP @t512 @t27)) % 54.38/54.67 (define @t520 () (tptp.hAPP @t512 @t28)) % 54.38/54.67 (define @t521 () (@var "V_w_2" $$unsorted)) % 54.38/54.67 (define @t522 () (@var "V_z_2" $$unsorted)) % 54.38/54.67 (define @t523 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 54.38/54.67 (define @t524 () (tptp.hAPP @t523 @t522)) % 54.38/54.67 (define @t525 () (tptp.hAPP @t512 @t522)) % 54.38/54.67 (define @t526 () (@list @t521 @t522)) % 54.38/54.67 (define @t527 () (tptp.hAPP @t509 @t9)) % 54.38/54.67 (define @t528 () (tptp.hAPP @t523 @t511)) % 54.38/54.67 (define @t529 () (tptp.hAPP @t509 @t239)) % 54.38/54.67 (define @t530 () (@list @t239)) % 54.38/54.67 (define @t531 () (tptp.hAPP @t509 @t58)) % 54.38/54.67 (define @t532 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 54.38/54.67 (define @t533 () (tptp.hAPP (tptp.hAPP @t532 @t531) @t9)) % 54.38/54.67 (define @t534 () (tptp.hAPP @t509 @t339)) % 54.38/54.67 (define @t535 () (tptp.hAPP @t509 @t86)) % 54.38/54.67 (define @t536 () (tptp.hAPP @t509 @t290)) % 54.38/54.67 (define @t537 () (tptp.hAPP (tptp.hAPP @t514 @t531) @t527)) % 54.38/54.67 (define @t538 () (tptp.hAPP @t514 @t529)) % 54.38/54.67 (define @t539 () (@var "V_ry" $$unsorted)) % 54.38/54.67 (define @t540 () (@var "V_ly" $$unsorted)) % 54.38/54.67 (define @t541 () (tptp.hAPP @t313 @t540)) % 54.38/54.67 (define @t542 () (@var "V_rx" $$unsorted)) % 54.38/54.67 (define @t543 () (@var "V_lx" $$unsorted)) % 54.38/54.67 (define @t544 () (tptp.hAPP @t313 @t543)) % 54.38/54.67 (define @t545 () (tptp.hAPP @t313 (tptp.hAPP @t544 @t542))) % 54.38/54.67 (define @t546 () (tptp.hAPP @t313 @t542)) % 54.38/54.67 (define @t547 () (tptp.hAPP @t546 @t539)) % 54.38/54.67 (define @t548 () (tptp.hAPP @t313 (tptp.hAPP @t544 @t540))) % 54.38/54.67 (define @t549 () (tptp.hAPP @t548 @t547)) % 54.38/54.67 (define @t550 () (@list @t539 @t542 @t540 @t543 @t10)) % 54.38/54.67 (define @t551 () (tptp.hAPP @t548 @t542)) % 54.38/54.67 (define @t552 () (@list @t542 @t540 @t543 @t10)) % 54.38/54.67 (define @t553 () (tptp.hAPP @t544 @t547)) % 54.38/54.67 (define @t554 () (@list @t539 @t542 @t543 @t10)) % 54.38/54.67 (define @t555 () (tptp.hAPP @t509 @t56)) % 54.38/54.67 (define @t556 () (tptp.hAPP @t523 @t510)) % 54.38/54.67 (define @t557 () (tptp.hAPP @t512 @t535)) % 54.38/54.67 (define @t558 () (@list @t226 @t17)) % 54.38/54.67 (define @t559 () (tptp.c_Orderings_Oord__class_Oless @t231)) % 54.38/54.67 (define @t560 () (tptp.hAPP @t559 @t226)) % 54.38/54.67 (define @t561 () (tptp.hBOOL (tptp.hAPP @t560 @t230))) % 54.38/54.67 (define @t562 () (@list @t17 @t230 @t226)) % 54.38/54.67 (define @t563 () (@var "V_C_2" $$unsorted)) % 54.38/54.67 (define @t564 () (tptp.hBOOL (tptp.hAPP @t560 @t563))) % 54.38/54.67 (define @t565 () (tptp.hBOOL (tptp.hAPP @t500 @t563))) % 54.38/54.67 (define @t566 () (@list @t563 @t230 @t226 @t17)) % 54.38/54.67 (define @t567 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t559 @t230) @t563)) @t564)) % 54.38/54.67 (define @t568 () (tptp.hBOOL (tptp.hAPP @t233 @t563))) % 54.38/54.67 (define @t569 () (tptp.hAPP @t532 @t28)) % 54.38/54.67 (define @t570 () (tptp.hAPP @t569 @t27)) % 54.38/54.67 (define @t571 () (@list @t134 @t27 @t28)) % 54.38/54.67 (define @t572 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t125) @t176))) % 54.38/54.67 (define @t573 () (tptp.hAPP @t509 @t176)) % 54.38/54.67 (define @t574 () (tptp.hAPP @t509 @t125)) % 54.38/54.67 (define @t575 () (@list @t176 @t125)) % 54.38/54.67 (define @t576 () (tptp.hAPP @t509 @t28)) % 54.38/54.67 (define @t577 () (@list @t9 @t28)) % 54.38/54.67 (define @t578 () (tptp.hAPP (tptp.hAPP @t288 @t28) @t27)) % 54.38/54.67 (define @t579 () (tptp.hAPP @t509 @t27)) % 54.38/54.67 (define @t580 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t125) @t176))) % 54.38/54.67 (define @t581 () (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t509 @t3)))) % 54.38/54.67 (define @t582 () (tptp.hAPP @t111 @t3)) % 54.38/54.67 (define @t583 () (tptp.hBOOL @t582)) % 54.38/54.67 (define @t584 () (tptp.hBOOL (tptp.hAPP @t528 @t3))) % 54.38/54.67 (define @t585 () (@list @t111)) % 54.38/54.67 (define @t586 () (tptp.hAPP @t509 @t134)) % 54.38/54.67 (define @t587 () (@list @t134)) % 54.38/54.67 (define @t588 () (tptp.hAPP @t509 @t16)) % 54.38/54.67 (define @t589 () (tptp.hBOOL (tptp.hAPP @t81 @t16))) % 54.38/54.67 (define @t590 () (tptp.hBOOL (tptp.hAPP @t525 @t511))) % 54.38/54.67 (define @t591 () (tptp.c_Int_Oring__1__class_Oof__int @t17)) % 54.38/54.67 (define @t592 () (tptp.hAPP @t591 @t522)) % 54.38/54.67 (define @t593 () (tptp.class_Rings_Olinordered__idom @t17)) % 54.38/54.67 (define @t594 () (@list @t522 @t17)) % 54.38/54.67 (define @t595 () (tptp.hBOOL (tptp.hAPP @t513 @t522))) % 54.38/54.67 (define @t596 () (@var "V_w" $$unsorted)) % 54.38/54.67 (define @t597 () (tptp.hAPP @t523 @t596)) % 54.38/54.67 (define @t598 () (tptp.hBOOL (tptp.hAPP @t597 @t134))) % 54.38/54.67 (define @t599 () (tptp.hAPP @t523 @t134)) % 54.38/54.67 (define @t600 () (tptp.hBOOL (tptp.hAPP @t599 @t596))) % 54.38/54.67 (define @t601 () (@list @t596 @t134)) % 54.38/54.67 (define @t602 () (tptp.hAPP @t523 @t240)) % 54.38/54.67 (define @t603 () (tptp.hBOOL (tptp.hAPP @t602 @t242))) % 54.38/54.67 (define @t604 () (@list @t596)) % 54.38/54.67 (define @t605 () (tptp.hAPP @t514 @t596)) % 54.38/54.67 (define @t606 () (tptp.hAPP @t605 @t134)) % 54.38/54.67 (define @t607 () (tptp.hAPP @t514 @t134)) % 54.38/54.67 (define @t608 () (tptp.hAPP @t607 @t596)) % 54.38/54.67 (define @t609 () (@var "V_z3" $$unsorted)) % 54.38/54.67 (define @t610 () (@var "V_z2" $$unsorted)) % 54.38/54.67 (define @t611 () (tptp.hAPP @t514 @t610)) % 54.38/54.67 (define @t612 () (@var "V_z1" $$unsorted)) % 54.38/54.67 (define @t613 () (tptp.hAPP @t514 @t612)) % 54.38/54.67 (define @t614 () (@list @t609 @t610 @t612)) % 54.38/54.67 (define @t615 () (= @t521 @t522)) % 54.38/54.67 (define @t616 () (tptp.hAPP @t591 @t521)) % 54.38/54.67 (define @t617 () (tptp.class_Int_Oring__char__0 @t17)) % 54.38/54.67 (define @t618 () (@list @t522 @t521 @t17)) % 54.38/54.67 (define @t619 () (tptp.hAPP @t523 @t521)) % 54.38/54.67 (define @t620 () (tptp.hBOOL (tptp.hAPP @t619 @t522))) % 54.38/54.67 (define @t621 () (tptp.c_Int_Oring__1__class_Oof__int @t10)) % 54.38/54.67 (define @t622 () (tptp.hAPP @t621 @t134)) % 54.38/54.67 (define @t623 () (tptp.hAPP @t621 @t596)) % 54.38/54.67 (define @t624 () (tptp.class_Rings_Oring__1 @t10)) % 54.38/54.67 (define @t625 () (@list @t134 @t596 @t10)) % 54.38/54.67 (define @t626 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 54.38/54.67 (define @t627 () (tptp.hAPP (tptp.hAPP @t532 @t134) @t9)) % 54.38/54.67 (define @t628 () (= @t522 @t511)) % 54.38/54.67 (define @t629 () (tptp.hAPP @t512 @t521)) % 54.38/54.67 (define @t630 () (tptp.hBOOL (tptp.hAPP @t629 @t522))) % 54.38/54.67 (define @t631 () (tptp.hBOOL (tptp.hAPP @t528 @t522))) % 54.38/54.67 (define @t632 () (tptp.hAPP @t569 @t9)) % 54.38/54.67 (define @t633 () (tptp.hBOOL (tptp.hAPP @t528 @t28))) % 54.38/54.67 (define @t634 () (tptp.hAPP (tptp.hAPP @t514 @t28) @t27)) % 54.38/54.67 (define @t635 () (tptp.hBOOL (tptp.hAPP @t528 @t27))) % 54.38/54.67 (define @t636 () (tptp.c_Nat__Transfer_Otsub @t28 @t27)) % 54.38/54.67 (define @t637 () (tptp.hAPP tptp.c_Int_Onat @t521)) % 54.38/54.67 (define @t638 () (tptp.hAPP @t60 @t637)) % 54.38/54.67 (define @t639 () (tptp.hBOOL (tptp.hAPP @t528 @t521))) % 54.38/54.67 (define @t640 () (@list @t86 @t521)) % 54.38/54.67 (define @t641 () (tptp.hAPP tptp.c_Int_Onat @t134)) % 54.38/54.67 (define @t642 () (tptp.hBOOL (tptp.hAPP @t528 @t134))) % 54.38/54.67 (define @t643 () (@list @t9 @t134)) % 54.38/54.67 (define @t644 () (tptp.hAPP tptp.c_Int_Onat @t28)) % 54.38/54.67 (define @t645 () (tptp.c_Groups_Oone__class_Oone @t10)) % 54.38/54.67 (define @t646 () (tptp.hAPP @t114 @t645)) % 54.38/54.67 (define @t647 () (tptp.hBOOL (tptp.hAPP @t646 @t149))) % 54.38/54.67 (define @t648 () (tptp.hAPP @t447 @t346)) % 54.38/54.67 (define @t649 () (tptp.hAPP @t648 @t176)) % 54.38/54.67 (define @t650 () (tptp.hAPP @t648 @t125)) % 54.38/54.67 (define @t651 () (tptp.c_Groups_Oone__class_Oone @t17)) % 54.38/54.67 (define @t652 () (tptp.hAPP @t185 @t651)) % 54.38/54.67 (define @t653 () (tptp.hBOOL (tptp.hAPP @t652 @t346))) % 54.38/54.67 (define @t654 () (@list @t176 @t125 @t346 @t17)) % 54.38/54.67 (define @t655 () (@var "V_N" $$unsorted)) % 54.38/54.67 (define @t656 () (tptp.hAPP @t257 @t655)) % 54.38/54.67 (define @t657 () (tptp.hBOOL (tptp.hAPP @t294 @t655))) % 54.38/54.67 (define @t658 () (@list @t149 @t655 @t9 @t10)) % 54.38/54.67 (define @t659 () (tptp.hBOOL (tptp.hAPP @t167 @t645))) % 54.38/54.67 (define @t660 () (tptp.hBOOL (tptp.hAPP @t66 @t655))) % 54.38/54.67 (define @t661 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 54.38/54.67 (define @t662 () (tptp.hAPP tptp.c_Int_Onat @t661)) % 54.38/54.67 (define @t663 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t664 () (= @t125 @t651)) % 54.38/54.67 (define @t665 () (tptp.hAPP @t509 @t663)) % 54.38/54.67 (define @t666 () (tptp.class_Rings_Ozero__neq__one @t10)) % 54.38/54.67 (define @t667 () (= (tptp.hAPP @t316 @t645) @t149)) % 54.38/54.67 (define @t668 () (= (tptp.hAPP (tptp.hAPP @t313 @t645) @t149) @t149)) % 54.38/54.67 (define @t669 () (tptp.hAPP @t254 @t645)) % 54.38/54.67 (define @t670 () (= @t33 @t663)) % 54.38/54.67 (define @t671 () (= @t86 @t663)) % 54.38/54.67 (define @t672 () (and @t671 @t670)) % 54.38/54.67 (define @t673 () (tptp.hAPP @t512 @t661)) % 54.38/54.67 (define @t674 () (tptp.hAPP tptp.c_Int_Onat @t522)) % 54.38/54.67 (define @t675 () (@list @t522)) % 54.38/54.67 (define @t676 () (tptp.hAPP tptp.c_Int_Onat @t511)) % 54.38/54.67 (define @t677 () (@var "V_z_H_2" $$unsorted)) % 54.38/54.67 (define @t678 () (tptp.hAPP tptp.c_Int_Onat @t677)) % 54.38/54.67 (define @t679 () (tptp.hAPP tptp.c_Int_Onat @t176)) % 54.38/54.67 (define @t680 () (tptp.hAPP tptp.c_Int_Onat @t125)) % 54.38/54.67 (define @t681 () (tptp.hBOOL (tptp.hAPP @t528 @t176))) % 54.38/54.67 (define @t682 () (tptp.hBOOL (tptp.hAPP @t528 @t125))) % 54.38/54.67 (define @t683 () (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 54.38/54.67 (define @t684 () (@var "B_x1" $$unsorted)) % 54.38/54.67 (define @t685 () (tptp.hBOOL (tptp.hAPP @t111 @t684))) % 54.38/54.67 (define @t686 () (@list @t684)) % 54.38/54.67 (define @t687 () (forall @t686 @t685)) % 54.38/54.67 (define @t688 () (exists @t686 @t685)) % 54.38/54.67 (define @t689 () (tptp.hAPP @t75 @t645)) % 54.38/54.67 (define @t690 () (tptp.hBOOL (tptp.hAPP @t689 @t149))) % 54.38/54.67 (define @t691 () (= @t58 @t56)) % 54.38/54.67 (define @t692 () (tptp.hAPP @t523 @t31)) % 54.38/54.67 (define @t693 () (tptp.hBOOL (tptp.hAPP @t692 @t511))) % 54.38/54.67 (define @t694 () (tptp.hAPP tptp.c_Int_Onat @t31)) % 54.38/54.67 (define @t695 () (@list @t31)) % 54.38/54.67 (define @t696 () (= @t641 @t56)) % 54.38/54.67 (define @t697 () (tptp.hBOOL (tptp.hAPP @t599 @t511))) % 54.38/54.67 (define @t698 () (tptp.hBOOL (tptp.hAPP @t638 @t674))) % 54.38/54.67 (define @t699 () (@list @t522 @t521)) % 54.38/54.67 (define @t700 () (= @t698 @t630)) % 54.38/54.67 (define @t701 () (tptp.hAPP @t523 @t125)) % 54.38/54.67 (define @t702 () (tptp.hBOOL (tptp.hAPP @t701 @t176))) % 54.38/54.67 (define @t703 () (tptp.hAPP @t509 @t641)) % 54.38/54.67 (define @t704 () (= @t703 @t134)) % 54.38/54.67 (define @t705 () (=> @t642 @t704)) % 54.38/54.67 (define @t706 () (@list @t522 @t86)) % 54.38/54.67 (define @t707 () (tptp.hAPP @t313 @t27)) % 54.38/54.67 (define @t708 () (tptp.hAPP @t707 @t28)) % 54.38/54.67 (define @t709 () (tptp.hBOOL (tptp.hAPP @t122 @t645))) % 54.38/54.67 (define @t710 () (tptp.hBOOL (tptp.hAPP @t262 @t27))) % 54.38/54.67 (define @t711 () (tptp.hBOOL (tptp.hAPP @t262 @t28))) % 54.38/54.67 (define @t712 () (tptp.hAPP @t452 @t9)) % 54.38/54.67 (define @t713 () (tptp.hAPP @t523 @t661)) % 54.38/54.67 (define @t714 () (and (= @t86 @t661) (= @t33 @t661))) % 54.38/54.67 (define @t715 () (tptp.hAPP (tptp.hAPP @t514 @t86) @t33)) % 54.38/54.67 (define @t716 () (= @t715 @t661)) % 54.38/54.67 (define @t717 () (tptp.hAPP @t512 @t125)) % 54.38/54.67 (define @t718 () (tptp.hBOOL (tptp.hAPP @t717 @t176))) % 54.38/54.67 (define @t719 () (and (=> @t639 (= @t521 @t535)) (=> (not @t639) @t220))) % 54.38/54.67 (define @t720 () (tptp.hBOOL (tptp.hAPP @t111 @t56))) % 54.38/54.67 (define @t721 () (tptp.hAPP @t512 @t31)) % 54.38/54.67 (define @t722 () (@list @t31 @t111)) % 54.38/54.67 (define @t723 () (@var "V_z_H" $$unsorted)) % 54.38/54.67 (define @t724 () (tptp.hAPP tptp.c_Int_Onat @t723)) % 54.38/54.67 (define @t725 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t607 @t723))) % 54.38/54.67 (define @t726 () (@list @t723 @t134)) % 54.38/54.67 (define @t727 () (tptp.hAPP tptp.c_Int_Onat @t27)) % 54.38/54.67 (define @t728 () (@list @t134 @t10)) % 54.38/54.67 (define @t729 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 54.38/54.67 (define @t730 () (tptp.hAPP @t729 @t134)) % 54.38/54.67 (define @t731 () (@var "V_v" $$unsorted)) % 54.38/54.67 (define @t732 () (@var "V_u" $$unsorted)) % 54.38/54.67 (define @t733 () (tptp.c_Groups_Oplus__class_Oplus @t10)) % 54.38/54.67 (define @t734 () (tptp.hAPP (tptp.hAPP @t733 (tptp.hAPP (tptp.hAPP @t313 @t732) @t28)) (tptp.hAPP (tptp.hAPP @t313 @t731) @t27))) % 54.38/54.67 (define @t735 () (= (tptp.hAPP (tptp.hAPP @t733 @t732) @t731) @t645)) % 54.38/54.67 (define @t736 () (tptp.hBOOL (tptp.hAPP @t262 @t731))) % 54.38/54.67 (define @t737 () (tptp.hBOOL (tptp.hAPP @t262 @t732))) % 54.38/54.67 (define @t738 () (tptp.hBOOL (tptp.hAPP @t117 @t149))) % 54.38/54.67 (define @t739 () (@list @t731 @t732 @t27 @t149 @t28 @t10)) % 54.38/54.67 (define @t740 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t741 () (tptp.c_Groups_Osgn__class_Osgn @t10 @t149)) % 54.38/54.67 (define @t742 () (tptp.hBOOL (tptp.hAPP @t269 @t36))) % 54.38/54.67 (define @t743 () (tptp.c_Groups_Osgn__class_Osgn @t17 @t36)) % 54.38/54.67 (define @t744 () (@list @t36 @t17)) % 54.38/54.67 (define @t745 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 54.38/54.67 (define @t746 () (tptp.hAPP @t745 @t661)) % 54.38/54.67 (define @t747 () (tptp.hAPP @t746 @t134)) % 54.38/54.67 (define @t748 () (@var "B_z" $$unsorted)) % 54.38/54.67 (define @t749 () (@list @t748)) % 54.38/54.67 (define @t750 () (tptp.class_Fields_Olinordered__field__inverse__zero @t10)) % 54.38/54.67 (define @t751 () (@var "V_v_2" $$unsorted)) % 54.38/54.67 (define @t752 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 54.38/54.67 (define @t753 () (tptp.hAPP @t752 @t751)) % 54.38/54.67 (define @t754 () (tptp.hAPP @t729 (tptp.hAPP @t509 @t12))) % 54.38/54.67 (define @t755 () (tptp.hAPP @t512 @t754)) % 54.38/54.67 (define @t756 () (tptp.hAPP @t729 @t527)) % 54.38/54.67 (define @t757 () (tptp.hAPP @t523 @t756)) % 54.38/54.67 (define @t758 () (tptp.hAPP @t745 @t730)) % 54.38/54.67 (define @t759 () (@var "V_j_2" $$unsorted)) % 54.38/54.67 (define @t760 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t761 () (tptp.hAPP @t760 @t31)) % 54.38/54.67 (define @t762 () (tptp.hAPP @t761 @t359)) % 54.38/54.67 (define @t763 () (tptp.hAPP @t740 @t759)) % 54.38/54.67 (define @t764 () (tptp.hAPP @t763 @t359)) % 54.38/54.67 (define @t765 () (tptp.hAPP @t60 @t31)) % 54.38/54.67 (define @t766 () (@list @t359 @t759 @t31)) % 54.38/54.67 (define @t767 () (tptp.hAPP @t740 @t58)) % 54.38/54.67 (define @t768 () (tptp.hAPP @t767 @t9)) % 54.38/54.67 (define @t769 () (tptp.hAPP @t760 @t9)) % 54.38/54.67 (define @t770 () (= (tptp.hAPP @t769 @t768) @t58)) % 54.38/54.67 (define @t771 () (tptp.hAPP @t733 @t153)) % 54.38/54.67 (define @t772 () (tptp.hAPP @t771 @t407)) % 54.38/54.67 (define @t773 () (tptp.hAPP @t733 @t149)) % 54.38/54.67 (define @t774 () (tptp.hAPP @t773 @t150)) % 54.38/54.67 (define @t775 () (tptp.hAPP @t733 @t774)) % 54.38/54.67 (define @t776 () (tptp.hAPP @t733 @t150)) % 54.38/54.67 (define @t777 () (tptp.hAPP @t776 @t407)) % 54.38/54.67 (define @t778 () (tptp.hAPP @t773 @t153)) % 54.38/54.67 (define @t779 () (tptp.hAPP @t733 @t778)) % 54.38/54.67 (define @t780 () (tptp.hAPP @t779 @t150)) % 54.38/54.67 (define @t781 () (tptp.hAPP @t745 @t612)) % 54.38/54.67 (define @t782 () (tptp.hAPP @t781 @t610)) % 54.38/54.67 (define @t783 () (tptp.hAPP @t771 @t150)) % 54.38/54.67 (define @t784 () (= @t780 (tptp.hAPP @t773 @t783))) % 54.38/54.67 (define @t785 () (tptp.hAPP @t745 @t731)) % 54.38/54.67 (define @t786 () (tptp.hAPP @t785 @t596)) % 54.38/54.67 (define @t787 () (tptp.c_Int_Onumber__class_Onumber__of @t10)) % 54.38/54.67 (define @t788 () (tptp.hAPP @t787 @t786)) % 54.38/54.67 (define @t789 () (tptp.c_Groups_Ominus__class_Ominus @t10)) % 54.38/54.67 (define @t790 () (tptp.hAPP @t787 @t596)) % 54.38/54.67 (define @t791 () (tptp.hAPP @t787 @t731)) % 54.38/54.67 (define @t792 () (tptp.hAPP @t733 @t791)) % 54.38/54.67 (define @t793 () (tptp.class_Int_Onumber__ring @t10)) % 54.38/54.67 (define @t794 () (@list @t134 @t596 @t731 @t10)) % 54.38/54.67 (define @t795 () (tptp.hAPP @t729 @t596)) % 54.38/54.67 (define @t796 () (tptp.hAPP @t785 @t795)) % 54.38/54.67 (define @t797 () (tptp.hAPP @t787 @t796)) % 54.38/54.67 (define @t798 () (tptp.c_Int_Onumber__class_Onumber__of @t17)) % 54.38/54.67 (define @t799 () (tptp.hAPP @t798 @t176)) % 54.38/54.67 (define @t800 () (tptp.hAPP @t798 @t125)) % 54.38/54.67 (define @t801 () (= @t800 @t799)) % 54.38/54.67 (define @t802 () (tptp.class_Int_Onumber__ring @t17)) % 54.38/54.67 (define @t803 () (and @t802 @t617)) % 54.38/54.67 (define @t804 () (tptp.hAPP @t789 @t791)) % 54.38/54.67 (define @t805 () (tptp.hAPP @t804 @t790)) % 54.38/54.67 (define @t806 () (@list @t596 @t731 @t10)) % 54.38/54.67 (define @t807 () (tptp.hAPP @t752 @t596)) % 54.38/54.67 (define @t808 () (tptp.hAPP @t752 @t731)) % 54.38/54.67 (define @t809 () (tptp.hAPP @t745 @t808)) % 54.38/54.67 (define @t810 () (@list @t596 @t731)) % 54.38/54.67 (define @t811 () (tptp.hAPP @t792 @t790)) % 54.38/54.67 (define @t812 () (tptp.hAPP @t798 @t521)) % 54.38/54.67 (define @t813 () (tptp.class_Int_Onumber @t17)) % 54.38/54.67 (define @t814 () (tptp.hAPP @t773 @t777)) % 54.38/54.67 (define @t815 () (@list @t407 @t150 @t149 @t10)) % 54.38/54.67 (define @t816 () (tptp.hAPP @t745 @t28)) % 54.38/54.67 (define @t817 () (tptp.hAPP @t745 @t27)) % 54.38/54.67 (define @t818 () (tptp.c_Groups_Ouminus__class_Ouminus @t10)) % 54.38/54.67 (define @t819 () (tptp.hAPP @t818 @t27)) % 54.38/54.67 (define @t820 () (tptp.hAPP @t733 @t28)) % 54.38/54.67 (define @t821 () (tptp.hAPP @t789 @t28)) % 54.38/54.67 (define @t822 () (tptp.hAPP @t821 @t27)) % 54.38/54.67 (define @t823 () (tptp.class_Rings_Ocomm__ring__1 @t10)) % 54.38/54.67 (define @t824 () (tptp.hAPP @t745 @t596)) % 54.38/54.67 (define @t825 () (tptp.hAPP @t824 @t134)) % 54.38/54.67 (define @t826 () (tptp.hAPP @t745 @t134)) % 54.38/54.67 (define @t827 () (tptp.hAPP @t826 @t596)) % 54.38/54.67 (define @t828 () (tptp.hAPP @t776 @t149)) % 54.38/54.67 (define @t829 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 54.38/54.67 (define @t830 () (tptp.hAPP @t818 @t790)) % 54.38/54.67 (define @t831 () (tptp.hAPP @t787 @t795)) % 54.38/54.67 (define @t832 () (@list @t596 @t10)) % 54.38/54.67 (define @t833 () (tptp.hAPP @t729 @t807)) % 54.38/54.67 (define @t834 () (tptp.hAPP @t818 @t149)) % 54.38/54.67 (define @t835 () (tptp.class_Groups_Ogroup__add @t10)) % 54.38/54.67 (define @t836 () (tptp.c_Groups_Oplus__class_Oplus @t17)) % 54.38/54.67 (define @t837 () (tptp.hAPP @t836 @t36)) % 54.38/54.67 (define @t838 () (tptp.hAPP @t837 @t346)) % 54.38/54.67 (define @t839 () (tptp.c_Groups_Ouminus__class_Ouminus @t17)) % 54.38/54.67 (define @t840 () (tptp.hAPP @t839 @t346)) % 54.38/54.67 (define @t841 () (= @t36 @t840)) % 54.38/54.67 (define @t842 () (tptp.class_Groups_Ogroup__add @t17)) % 54.38/54.67 (define @t843 () (tptp.hAPP @t733 @t834)) % 54.38/54.67 (define @t844 () (= (tptp.hAPP @t843 @t149) @t261)) % 54.38/54.67 (define @t845 () (tptp.class_Groups_Oab__group__add @t10)) % 54.38/54.67 (define @t846 () (tptp.hAPP @t769 @t239)) % 54.38/54.67 (define @t847 () (tptp.hAPP @t760 @t58)) % 54.38/54.67 (define @t848 () (tptp.hAPP @t847 @t239)) % 54.38/54.67 (define @t849 () (tptp.hAPP @t740 @t848)) % 54.38/54.67 (define @t850 () (@list @t9 @t239 @t58)) % 54.38/54.67 (define @t851 () (tptp.hAPP @t760 @t239)) % 54.38/54.67 (define @t852 () (tptp.hAPP @t851 @t9)) % 54.38/54.67 (define @t853 () (tptp.hAPP @t851 @t58)) % 54.38/54.67 (define @t854 () (@list @t9 @t58 @t239)) % 54.38/54.67 (define @t855 () (tptp.hAPP @t740 @t240)) % 54.38/54.67 (define @t856 () (tptp.hAPP @t855 @t242)) % 54.38/54.67 (define @t857 () (tptp.hAPP (tptp.hAPP @t740 @t856) @t239)) % 54.38/54.67 (define @t858 () (tptp.hAPP @t760 @t242)) % 54.38/54.67 (define @t859 () (tptp.hAPP @t858 @t239)) % 54.38/54.67 (define @t860 () (tptp.hAPP @t769 @t58)) % 54.38/54.67 (define @t861 () (tptp.hAPP @t740 @t860)) % 54.38/54.67 (define @t862 () (tptp.hAPP @t847 @t9)) % 54.38/54.67 (define @t863 () (@var "V_d_2" $$unsorted)) % 54.38/54.67 (define @t864 () (= @t55 @t863)) % 54.38/54.67 (define @t865 () (= @t36 @t346)) % 54.38/54.67 (define @t866 () (tptp.c_Groups_Ominus__class_Ominus @t17)) % 54.38/54.67 (define @t867 () (tptp.hAPP (tptp.hAPP @t866 @t36) @t346)) % 54.38/54.67 (define @t868 () (= @t867 (tptp.hAPP (tptp.hAPP @t866 @t55) @t863))) % 54.38/54.67 (define @t869 () (tptp.class_Groups_Oab__group__add @t17)) % 54.38/54.67 (define @t870 () (@list @t863 @t55 @t346 @t36 @t17)) % 54.38/54.67 (define @t871 () (tptp.hAPP @t771 @t149)) % 54.38/54.67 (define @t872 () (tptp.class_Groups_Ocancel__semigroup__add @t10)) % 54.38/54.67 (define @t873 () (=> (= @t778 @t774) @t154)) % 54.38/54.67 (define @t874 () (= @t346 @t55)) % 54.38/54.67 (define @t875 () (tptp.hAPP @t836 @t55)) % 54.38/54.67 (define @t876 () (tptp.hAPP @t875 @t36)) % 54.38/54.67 (define @t877 () (tptp.hAPP @t836 @t346)) % 54.38/54.67 (define @t878 () (tptp.hAPP @t877 @t36)) % 54.38/54.67 (define @t879 () (tptp.class_Groups_Ocancel__semigroup__add @t17)) % 54.38/54.67 (define @t880 () (tptp.hAPP @t837 @t55)) % 54.38/54.67 (define @t881 () (@list @t55 @t346 @t36 @t17)) % 54.38/54.67 (define @t882 () (tptp.hAPP @t789 @t778)) % 54.38/54.67 (define @t883 () (tptp.hAPP @t789 @t149)) % 54.38/54.67 (define @t884 () (tptp.hAPP @t883 @t153)) % 54.38/54.67 (define @t885 () (tptp.hAPP @t839 @t36)) % 54.38/54.67 (define @t886 () (tptp.hAPP @t818 @t153)) % 54.38/54.67 (define @t887 () (= @t884 (tptp.hAPP @t773 @t886))) % 54.38/54.67 (define @t888 () (tptp.hAPP @t818 @t778)) % 54.38/54.67 (define @t889 () (tptp.hAPP @t789 @t153)) % 54.38/54.67 (define @t890 () (tptp.hAPP @t889 @t149)) % 54.38/54.67 (define @t891 () (tptp.hAPP @t740 @t9)) % 54.38/54.67 (define @t892 () (@var "V_e_2" $$unsorted)) % 54.38/54.67 (define @t893 () (tptp.hAPP (tptp.hAPP @t836 (tptp.hAPP (tptp.hAPP @t349 (tptp.hAPP (tptp.hAPP @t866 @t346) @t36)) @t892)) @t863)) % 54.38/54.67 (define @t894 () (tptp.hAPP (tptp.hAPP @t836 (tptp.hAPP @t420 @t892)) @t863)) % 54.38/54.67 (define @t895 () (tptp.hAPP (tptp.hAPP @t836 (tptp.hAPP @t350 @t892)) @t55)) % 54.38/54.67 (define @t896 () (= @t895 @t894)) % 54.38/54.67 (define @t897 () (tptp.class_Rings_Oring @t17)) % 54.38/54.67 (define @t898 () (@list @t863 @t346 @t55 @t892 @t36 @t17)) % 54.38/54.67 (define @t899 () (tptp.hAPP (tptp.hAPP @t836 (tptp.hAPP (tptp.hAPP @t349 @t867) @t892)) @t55)) % 54.38/54.67 (define @t900 () (tptp.hAPP @t798 @t731)) % 54.38/54.67 (define @t901 () (tptp.hAPP (tptp.hAPP @t349 @t153) @t900)) % 54.38/54.67 (define @t902 () (tptp.hAPP (tptp.hAPP @t349 @t149) @t900)) % 54.38/54.67 (define @t903 () (and @t813 @t897)) % 54.38/54.67 (define @t904 () (@list @t731 @t153 @t149 @t17)) % 54.38/54.67 (define @t905 () (and @t813 (tptp.class_Rings_Osemiring @t17))) % 54.38/54.67 (define @t906 () (tptp.hAPP @t349 @t900)) % 54.38/54.67 (define @t907 () (tptp.hAPP @t906 @t150)) % 54.38/54.67 (define @t908 () (tptp.hAPP @t906 @t153)) % 54.38/54.67 (define @t909 () (@list @t150 @t153 @t731 @t17)) % 54.38/54.67 (define @t910 () (tptp.hAPP @t760 @t240)) % 54.38/54.67 (define @t911 () (tptp.hAPP @t910 @t239)) % 54.38/54.67 (define @t912 () (tptp.hAPP @t740 @t242)) % 54.38/54.67 (define @t913 () (tptp.hAPP @t912 @t239)) % 54.38/54.67 (define @t914 () (tptp.hBOOL (tptp.hAPP @t309 @t242))) % 54.38/54.67 (define @t915 () (@list @t240 @t242 @t239)) % 54.38/54.67 (define @t916 () (tptp.hAPP @t79 @t759)) % 54.38/54.67 (define @t917 () (tptp.hBOOL (tptp.hAPP @t309 @t9))) % 54.38/54.67 (define @t918 () (@list @t58 @t9 @t239)) % 54.38/54.67 (define @t919 () (tptp.hAPP @t910 @t242)) % 54.38/54.67 (define @t920 () (tptp.hAPP (tptp.hAPP @t740 @t919) @t239)) % 54.38/54.67 (define @t921 () (tptp.hAPP @t910 @t913)) % 54.38/54.67 (define @t922 () (tptp.hAPP @t79 @t31)) % 54.38/54.67 (define @t923 () (tptp.hAPP @t79 @t359)) % 54.38/54.67 (define @t924 () (tptp.hAPP @t760 @t359)) % 54.38/54.67 (define @t925 () (tptp.hAPP @t763 @t31)) % 54.38/54.67 (define @t926 () (tptp.hBOOL (tptp.hAPP @t922 @t759))) % 54.38/54.67 (define @t927 () (tptp.hAPP @t858 @t240)) % 54.38/54.67 (define @t928 () (tptp.hAPP (tptp.hAPP @t740 @t927) @t239)) % 54.38/54.67 (define @t929 () (tptp.hAPP (tptp.hAPP @t760 @t913) @t240)) % 54.38/54.67 (define @t930 () (tptp.hAPP @t760 @t28)) % 54.38/54.67 (define @t931 () (tptp.hAPP @t509 @t862)) % 54.38/54.67 (define @t932 () (tptp.hAPP @t745 @t531)) % 54.38/54.67 (define @t933 () (@list @t731 @t10)) % 54.38/54.67 (define @t934 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t895) @t894))) % 54.38/54.67 (define @t935 () (tptp.class_Rings_Oordered__ring @t17)) % 54.38/54.67 (define @t936 () (tptp.hAPP @t49 @t55)) % 54.38/54.67 (define @t937 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t895) @t894))) % 54.38/54.67 (define @t938 () (tptp.hAPP @t767 @t663)) % 54.38/54.67 (define @t939 () (not @t691)) % 54.38/54.67 (define @t940 () (@var "B_d" $$unsorted)) % 54.38/54.67 (define @t941 () (tptp.hAPP @t111 @t940)) % 54.38/54.67 (define @t942 () (tptp.hBOOL @t941)) % 54.38/54.67 (define @t943 () (= @t36 (tptp.hAPP (tptp.hAPP @t760 @t346) @t940))) % 54.38/54.67 (define @t944 () (@list @t940)) % 54.38/54.67 (define @t945 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t36) @t346))) % 54.38/54.67 (define @t946 () (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t740 @t36) @t346)))) % 54.38/54.67 (define @t947 () (@list @t346 @t36 @t111)) % 54.38/54.67 (define @t948 () (not @t720)) % 54.38/54.67 (define @t949 () (tptp.hAPP tptp.c_Nat_OSuc @t242)) % 54.38/54.67 (define @t950 () (tptp.hAPP tptp.c_Nat_OSuc @t913)) % 54.38/54.67 (define @t951 () (@list @t58 @t242 @t239)) % 54.38/54.67 (define @t952 () (@var "V_u_2" $$unsorted)) % 54.38/54.67 (define @t953 () (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP (tptp.hAPP @t288 (tptp.hAPP (tptp.hAPP @t740 @t31) @t759)) @t952)) @t86)) % 54.38/54.67 (define @t954 () (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP (tptp.hAPP @t288 @t759) @t952)) @t33)) % 54.38/54.67 (define @t955 () (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP (tptp.hAPP @t288 @t31) @t952)) @t86)) % 54.38/54.67 (define @t956 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t955) @t954))) % 54.38/54.67 (define @t957 () (tptp.hBOOL (tptp.hAPP @t916 @t31))) % 54.38/54.67 (define @t958 () (@list @t33 @t86 @t952 @t31 @t759)) % 54.38/54.67 (define @t959 () (tptp.hAPP @t760 (tptp.hAPP @t297 @t732))) % 54.38/54.67 (define @t960 () (tptp.hAPP @t760 (tptp.hAPP @t299 @t732))) % 54.38/54.67 (define @t961 () (tptp.hAPP (tptp.hAPP @t740 (tptp.hAPP @t960 @t58)) (tptp.hAPP @t959 @t9))) % 54.38/54.67 (define @t962 () (tptp.hBOOL (tptp.hAPP @t307 @t240))) % 54.38/54.67 (define @t963 () (= @t955 @t954)) % 54.38/54.67 (define @t964 () (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP (tptp.hAPP @t288 @t925) @t952)) @t33)) % 54.38/54.67 (define @t965 () (@list @t33 @t86 @t952 @t759 @t31)) % 54.38/54.67 (define @t966 () (tptp.hAPP @t912 @t240)) % 54.38/54.67 (define @t967 () (tptp.hBOOL (tptp.hAPP @t936 @t863))) % 54.38/54.67 (define @t968 () (tptp.class_Groups_Oordered__ab__group__add @t17)) % 54.38/54.67 (define @t969 () (= @t867 @t268)) % 54.38/54.67 (define @t970 () (tptp.hBOOL (tptp.hAPP @t414 @t863))) % 54.38/54.67 (define @t971 () (tptp.hAPP @t49 @t840)) % 54.38/54.67 (define @t972 () (tptp.hAPP @t49 @t885)) % 54.38/54.67 (define @t973 () (tptp.hBOOL (tptp.hAPP @t972 @t346))) % 54.38/54.67 (define @t974 () (@list @t36 @t346 @t17)) % 54.38/54.67 (define @t975 () (tptp.class_Groups_Oordered__ab__group__add @t10)) % 54.38/54.67 (define @t976 () (tptp.class_Groups_Olinordered__ab__group__add @t17)) % 54.38/54.67 (define @t977 () (tptp.hAPP @t185 @t840)) % 54.38/54.67 (define @t978 () (tptp.hAPP @t185 @t885)) % 54.38/54.67 (define @t979 () (tptp.hBOOL (tptp.hAPP @t978 @t346))) % 54.38/54.67 (define @t980 () (tptp.hAPP @t316 @t886)) % 54.38/54.67 (define @t981 () (tptp.hAPP @t818 @t317)) % 54.38/54.67 (define @t982 () (tptp.class_Rings_Oring @t10)) % 54.38/54.67 (define @t983 () (tptp.hAPP @t313 @t834)) % 54.38/54.67 (define @t984 () (tptp.hAPP @t983 @t153)) % 54.38/54.67 (define @t985 () (tptp.class_Rings_Oidom @t17)) % 54.38/54.67 (define @t986 () (tptp.hAPP @t877 @t55)) % 54.38/54.67 (define @t987 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t17)) % 54.38/54.67 (define @t988 () (tptp.hAPP @t875 @t346)) % 54.38/54.67 (define @t989 () (tptp.hAPP @t75 @t774)) % 54.38/54.67 (define @t990 () (tptp.hBOOL (tptp.hAPP @t989 @t783))) % 54.38/54.67 (define @t991 () (tptp.class_Groups_Oordered__ab__semigroup__add @t10)) % 54.38/54.67 (define @t992 () (tptp.hAPP @t776 @t153)) % 54.38/54.67 (define @t993 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t828) @t992))) % 54.38/54.67 (define @t994 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t10)) % 54.38/54.67 (define @t995 () (tptp.hAPP @t733 @t261)) % 54.38/54.67 (define @t996 () (= (tptp.hAPP @t995 @t149) @t149)) % 54.38/54.67 (define @t997 () (tptp.class_Groups_Omonoid__add @t10)) % 54.38/54.67 (define @t998 () (tptp.class_Groups_Ocomm__monoid__add @t10)) % 54.38/54.67 (define @t999 () (tptp.hAPP @t837 @t36)) % 54.38/54.67 (define @t1000 () (= (tptp.hAPP @t773 @t261) @t149)) % 54.38/54.67 (define @t1001 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t17)) % 54.38/54.67 (define @t1002 () (= (= @t999 @t268) @t348)) % 54.38/54.67 (define @t1003 () (tptp.hAPP @t114 @t774)) % 54.38/54.67 (define @t1004 () (tptp.hBOOL (tptp.hAPP @t1003 @t783))) % 54.38/54.67 (define @t1005 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t10)) % 54.38/54.67 (define @t1006 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t828) @t992))) % 54.38/54.67 (define @t1007 () (tptp.hBOOL (tptp.hAPP @t1003 @t772))) % 54.38/54.67 (define @t1008 () (=> @t460 @t1007)) % 54.38/54.67 (define @t1009 () (tptp.hAPP @t313 @t778)) % 54.38/54.67 (define @t1010 () (= (tptp.hAPP @t1009 @t150) (tptp.hAPP (tptp.hAPP @t733 @t396) @t315))) % 54.38/54.67 (define @t1011 () (@var "V_e" $$unsorted)) % 54.38/54.67 (define @t1012 () (tptp.hAPP @t493 @t134)) % 54.38/54.67 (define @t1013 () (tptp.hAPP @t733 @t27)) % 54.38/54.67 (define @t1014 () (tptp.hAPP @t1013 @t134)) % 54.38/54.67 (define @t1015 () (tptp.hAPP @t350 @t863)) % 54.38/54.67 (define @t1016 () (not @t865)) % 54.38/54.67 (define @t1017 () (tptp.hAPP @t316 @t58)) % 54.38/54.67 (define @t1018 () (tptp.hAPP @t733 @t1017)) % 54.38/54.67 (define @t1019 () (= @t176 @t522)) % 54.38/54.67 (define @t1020 () (tptp.hAPP @t349 @t125)) % 54.38/54.67 (define @t1021 () (tptp.hAPP @t349 @t521)) % 54.38/54.67 (define @t1022 () (tptp.hAPP @t1020 @t522)) % 54.38/54.67 (define @t1023 () (tptp.hAPP @t1021 @t176)) % 54.38/54.67 (define @t1024 () (tptp.hAPP @t891 @t58)) % 54.38/54.67 (define @t1025 () (= @t768 @t56)) % 54.38/54.67 (define @t1026 () (tptp.hAPP @t740 @t59)) % 54.38/54.67 (define @t1027 () (tptp.hAPP @t1026 @t9)) % 54.38/54.67 (define @t1028 () (tptp.hAPP @t740 @t308)) % 54.38/54.67 (define @t1029 () (tptp.hAPP @t1028 @t58)) % 54.38/54.67 (define @t1030 () (tptp.hAPP @t1028 @t9)) % 54.38/54.67 (define @t1031 () (@list @t308 @t9 @t58)) % 54.38/54.67 (define @t1032 () (tptp.hAPP @t729 @t661)) % 54.38/54.67 (define @t1033 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t240)) % 54.38/54.67 (define @t1034 () (tptp.hBOOL (tptp.hAPP @t513 @t240))) % 54.38/54.67 (define @t1035 () (= @t240 @t511)) % 54.38/54.67 (define @t1036 () (not @t1035)) % 54.38/54.67 (define @t1037 () (@list @t240)) % 54.38/54.67 (define @t1038 () (tptp.hAPP @t891 @t240)) % 54.38/54.67 (define @t1039 () (tptp.hAPP @t740 @t33)) % 54.38/54.67 (define @t1040 () (tptp.hAPP @t1039 @t359)) % 54.38/54.67 (define @t1041 () (tptp.hAPP @t740 @t86)) % 54.38/54.67 (define @t1042 () (tptp.hAPP @t1041 @t359)) % 54.38/54.67 (define @t1043 () (tptp.hBOOL (tptp.hAPP @t923 @t33))) % 54.38/54.67 (define @t1044 () (tptp.hBOOL (tptp.hAPP @t923 @t86))) % 54.38/54.67 (define @t1045 () (@var "V_l_2" $$unsorted)) % 54.38/54.67 (define @t1046 () (tptp.hAPP @t523 @t359)) % 54.38/54.67 (define @t1047 () (tptp.hBOOL (tptp.hAPP @t1046 @t1045))) % 54.38/54.67 (define @t1048 () (tptp.hAPP @t752 @t1045)) % 54.38/54.67 (define @t1049 () (tptp.hAPP @t752 @t359)) % 54.38/54.67 (define @t1050 () (@list @t1045 @t359)) % 54.38/54.67 (define @t1051 () (tptp.hAPP @t760 @t86)) % 54.38/54.67 (define @t1052 () (tptp.hAPP @t1051 @t33)) % 54.38/54.67 (define @t1053 () (tptp.hAPP @t512 @t359)) % 54.38/54.67 (define @t1054 () (tptp.hBOOL (tptp.hAPP @t1053 @t1045))) % 54.38/54.67 (define @t1055 () (tptp.hAPP @t289 @t239)) % 54.38/54.67 (define @t1056 () (tptp.hAPP @t304 @t9)) % 54.38/54.67 (define @t1057 () (tptp.hAPP @t304 @t58)) % 54.38/54.67 (define @t1058 () (tptp.hAPP @t847 @t12)) % 54.38/54.67 (define @t1059 () (tptp.hAPP (tptp.hAPP @t760 @t59) @t9)) % 54.38/54.67 (define @t1060 () (tptp.hAPP tptp.c_Nat_OSuc @t862)) % 54.38/54.67 (define @t1061 () (tptp.hAPP @t760 @t663)) % 54.38/54.67 (define @t1062 () (tptp.hAPP @t1061 @t9)) % 54.38/54.67 (define @t1063 () (tptp.hAPP @t769 @t663)) % 54.38/54.67 (define @t1064 () (tptp.hAPP @t760 @t27)) % 54.38/54.67 (define @t1065 () (tptp.hAPP @t1064 @t134)) % 54.38/54.67 (define @t1066 () (tptp.hBOOL (tptp.hAPP @t98 @t1065))) % 54.38/54.67 (define @t1067 () (@list @t27 @t134 @t28)) % 54.38/54.67 (define @t1068 () (tptp.hAPP @t60 @t919)) % 54.38/54.67 (define @t1069 () (tptp.hAPP @t60 @t239)) % 54.38/54.67 (define @t1070 () (tptp.hBOOL (tptp.hAPP @t1069 @t308))) % 54.38/54.67 (define @t1071 () (tptp.hAPP @t858 @t308)) % 54.38/54.67 (define @t1072 () (tptp.hAPP @t60 @t911)) % 54.38/54.67 (define @t1073 () (tptp.hAPP @t847 @t242)) % 54.38/54.67 (define @t1074 () (@list @t58 @t242 @t240)) % 54.38/54.67 (define @t1075 () (tptp.hAPP @t858 @t58)) % 54.38/54.67 (define @t1076 () (tptp.hAPP @t924 @t33)) % 54.38/54.67 (define @t1077 () (tptp.hAPP @t924 @t86)) % 54.38/54.67 (define @t1078 () (@list @t240 @t242)) % 54.38/54.67 (define @t1079 () (@list @t242 @t240)) % 54.38/54.67 (define @t1080 () (tptp.hAPP @t745 @t239)) % 54.38/54.67 (define @t1081 () (tptp.hAPP @t745 @t240)) % 54.38/54.67 (define @t1082 () (tptp.hBOOL (tptp.hAPP @t629 (tptp.hAPP (tptp.hAPP @t745 @t522) @t661)))) % 54.38/54.67 (define @t1083 () (@var "B_k" $$unsorted)) % 54.38/54.67 (define @t1084 () (tptp.hAPP @t1051 @t1083)) % 54.38/54.67 (define @t1085 () (@list @t1083)) % 54.38/54.67 (define @t1086 () (tptp.hAPP @t79 @t911)) % 54.38/54.67 (define @t1087 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t848) @t9))) % 54.38/54.67 (define @t1088 () (tptp.hBOOL (tptp.hAPP @t278 @t1065))) % 54.38/54.67 (define @t1089 () (tptp.hAPP @t514 @t731)) % 54.38/54.67 (define @t1090 () (tptp.hAPP @t1089 @t596)) % 54.38/54.67 (define @t1091 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t1092 () (tptp.hAPP @t1091 @t731)) % 54.38/54.67 (define @t1093 () (tptp.hAPP @t333 @t1092)) % 54.38/54.67 (define @t1094 () (= @t1093 @t261)) % 54.38/54.67 (define @t1095 () (tptp.hBOOL (tptp.hAPP @t528 @t808))) % 54.38/54.67 (define @t1096 () (= @t1093 @t791)) % 54.38/54.67 (define @t1097 () (tptp.hAPP @t605 @t610)) % 54.38/54.67 (define @t1098 () (tptp.hAPP @t605 @t612)) % 54.38/54.67 (define @t1099 () (@list @t610 @t612 @t596)) % 54.38/54.67 (define @t1100 () (tptp.hAPP @t611 @t596)) % 54.38/54.67 (define @t1101 () (tptp.hAPP @t613 @t596)) % 54.38/54.67 (define @t1102 () (@list @t596 @t610 @t612)) % 54.38/54.67 (define @t1103 () (tptp.hAPP @t621 @t239)) % 54.38/54.67 (define @t1104 () (tptp.hAPP @t787 @t239)) % 54.38/54.67 (define @t1105 () (@list @t239 @t10)) % 54.38/54.67 (define @t1106 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t955) @t954))) % 54.38/54.67 (define @t1107 () (tptp.hAPP @t816 @t27)) % 54.38/54.67 (define @t1108 () (tptp.hBOOL (tptp.hAPP @t528 @t723))) % 54.38/54.67 (define @t1109 () (tptp.hAPP @t818 @t645)) % 54.38/54.67 (define @t1110 () (tptp.c_Groups_Osgn__class_Osgn @t10 @t28)) % 54.38/54.67 (define @t1111 () (tptp.hBOOL (tptp.hAPP @t430 @t28))) % 54.38/54.67 (define @t1112 () (= @t28 @t261)) % 54.38/54.67 (define @t1113 () (tptp.class_Groups_Osgn__if @t10)) % 54.38/54.67 (define @t1114 () (tptp.hBOOL (tptp.hAPP @t416 @t268))) % 54.38/54.67 (define @t1115 () (tptp.hAPP @t839 @t651)) % 54.38/54.67 (define @t1116 () (tptp.hAPP @t798 @t751)) % 54.38/54.67 (define @t1117 () (tptp.hAPP @t185 @t812)) % 54.38/54.67 (define @t1118 () (@list @t521 @t751 @t17)) % 54.38/54.67 (define @t1119 () (tptp.hAPP @t1020 @t125)) % 54.38/54.67 (define @t1120 () (tptp.class_Rings_Oring__1__no__zero__divisors @t17)) % 54.38/54.67 (define @t1121 () (tptp.hAPP @t818 @t28)) % 54.38/54.67 (define @t1122 () (tptp.class_Groups_Oordered__comm__monoid__add @t10)) % 54.38/54.67 (define @t1123 () (= @t176 @t268)) % 54.38/54.67 (define @t1124 () (and @t281 @t1123)) % 54.38/54.67 (define @t1125 () (tptp.hAPP @t836 @t125)) % 54.38/54.67 (define @t1126 () (tptp.hAPP @t1125 @t176)) % 54.38/54.67 (define @t1127 () (tptp.hBOOL (tptp.hAPP @t155 @t774))) % 54.38/54.67 (define @t1128 () (@list @t149 @t153 @t150 @t10)) % 54.38/54.67 (define @t1129 () (tptp.hAPP @t49 @t800)) % 54.38/54.67 (define @t1130 () (and @t802 @t593)) % 54.38/54.67 (define @t1131 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t999) @t268)) @t1114)) % 54.38/54.67 (define @t1132 () (tptp.hBOOL (tptp.hAPP @t430 @t778))) % 54.38/54.67 (define @t1133 () (=> @t432 @t1132)) % 54.38/54.67 (define @t1134 () (tptp.hBOOL (tptp.hAPP @t165 @t774))) % 54.38/54.67 (define @t1135 () (=> @t172 @t1134)) % 54.38/54.67 (define @t1136 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t778) @t261))) % 54.38/54.67 (define @t1137 () (=> @t436 @t1136)) % 54.38/54.67 (define @t1138 () (tptp.hAPP @t185 @t800)) % 54.38/54.67 (define @t1139 () (tptp.hAPP (tptp.hAPP @t836 @t1119) (tptp.hAPP (tptp.hAPP @t349 @t176) @t176))) % 54.38/54.67 (define @t1140 () (@var "V_r" $$unsorted)) % 54.38/54.67 (define @t1141 () (tptp.hAPP @t313 @t1140)) % 54.38/54.67 (define @t1142 () (tptp.hAPP @t773 @t645)) % 54.38/54.67 (define @t1143 () (tptp.hAPP @t313 @t791)) % 54.38/54.67 (define @t1144 () (tptp.hAPP @t1143 @t790)) % 54.38/54.67 (define @t1145 () (tptp.hAPP @t787 @t1090)) % 54.38/54.67 (define @t1146 () (tptp.hAPP @t733 @t645)) % 54.38/54.67 (define @t1147 () (tptp.hAPP @t1146 @t645)) % 54.38/54.67 (define @t1148 () (tptp.hAPP @t313 @t1147)) % 54.38/54.67 (define @t1149 () (tptp.hAPP @t733 @t58)) % 54.38/54.67 (define @t1150 () (tptp.hAPP (tptp.hAPP @t313 @t1142) @t58)) % 54.38/54.67 (define @t1151 () (tptp.hAPP @t60 @t768)) % 54.38/54.67 (define @t1152 () (tptp.hBOOL (tptp.hAPP @t81 @t58))) % 54.38/54.67 (define @t1153 () (tptp.hAPP @t1039 @t86)) % 54.38/54.67 (define @t1154 () (tptp.hAPP @t1041 @t33)) % 54.38/54.67 (define @t1155 () (@list @t150 @t153 @t149)) % 54.38/54.67 (define @t1156 () (and @t83 @t220)) % 54.38/54.67 (define @t1157 () (or (and @t480 @t83) (and @t220 @t479))) % 54.38/54.67 (define @t1158 () (tptp.hAPP @t910 @t58)) % 54.38/54.67 (define @t1159 () (@list @t58 @t240)) % 54.38/54.67 (define @t1160 () (@var "V_w_H" $$unsorted)) % 54.38/54.67 (define @t1161 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t723) @t134))) % 54.38/54.67 (define @t1162 () (tptp.hAPP @t745 @t521)) % 54.38/54.67 (define @t1163 () (@list @t134 @t596)) % 54.38/54.67 (define @t1164 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t239) @t511))) % 54.38/54.67 (define @t1165 () (tptp.hAPP @t729 @t239)) % 54.38/54.67 (define @t1166 () (tptp.hAPP @t493 @t28)) % 54.38/54.67 (define @t1167 () (tptp.hAPP (tptp.hAPP @t733 @t1166) (tptp.hAPP @t707 @t27))) % 54.38/54.67 (define @t1168 () (not @t1123)) % 54.38/54.67 (define @t1169 () (or (not @t281) @t1168)) % 54.38/54.67 (define @t1170 () (tptp.hAPP @t254 @t1109)) % 54.38/54.67 (define @t1171 () (tptp.hAPP @t254 @t834)) % 54.38/54.67 (define @t1172 () (tptp.hAPP @t1171 @t9)) % 54.38/54.67 (define @t1173 () (tptp.hAPP @t891 @t663)) % 54.38/54.67 (define @t1174 () (tptp.hAPP tptp.c_Nat_OSuc @t1173)) % 54.38/54.67 (define @t1175 () (tptp.hAPP @t509 @t46)) % 54.38/54.67 (define @t1176 () (tptp.hAPP @t338 @t503)) % 54.38/54.67 (define @t1177 () (tptp.hAPP @t1176 @t58)) % 54.38/54.67 (define @t1178 () (tptp.hBOOL (tptp.hAPP @t76 @t149))) % 54.38/54.67 (define @t1179 () (tptp.hAPP @t523 @t490)) % 54.38/54.67 (define @t1180 () (tptp.hBOOL (tptp.hAPP @t528 @t1140))) % 54.38/54.67 (define @t1181 () (tptp.hAPP @t514 @t149)) % 54.38/54.67 (define @t1182 () (tptp.hAPP @t1181 @t490)) % 54.38/54.67 (define @t1183 () (= @t149 (tptp.hAPP (tptp.hAPP @t745 @t1140) @t1182))) % 54.38/54.67 (define @t1184 () (tptp.hBOOL (tptp.hAPP @t513 @t149))) % 54.38/54.67 (define @t1185 () (@list @t490 @t1140 @t149)) % 54.38/54.67 (define @t1186 () (tptp.hAPP @t512 @t1140)) % 54.38/54.67 (define @t1187 () (@var "V_q_H" $$unsorted)) % 54.38/54.67 (define @t1188 () (@var "V_b_H" $$unsorted)) % 54.38/54.67 (define @t1189 () (tptp.hBOOL (tptp.hAPP @t513 @t1188))) % 54.38/54.67 (define @t1190 () (@var "V_r_H" $$unsorted)) % 54.38/54.67 (define @t1191 () (tptp.hAPP @t512 @t1190)) % 54.38/54.67 (define @t1192 () (tptp.hBOOL (tptp.hAPP @t1191 @t1188))) % 54.38/54.67 (define @t1193 () (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP (tptp.hAPP @t514 @t1188) @t1187)) @t1190)) % 54.38/54.67 (define @t1194 () (tptp.hBOOL (tptp.hAPP @t528 @t1193))) % 54.38/54.67 (define @t1195 () (@list @t1190 @t1187 @t1188)) % 54.38/54.67 (define @t1196 () (tptp.hAPP @t523 @t1187)) % 54.38/54.67 (define @t1197 () (tptp.hBOOL (tptp.hAPP @t528 @t1190))) % 54.38/54.67 (define @t1198 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1193) @t511))) % 54.38/54.67 (define @t1199 () (tptp.hBOOL (tptp.hAPP @t1196 @t490))) % 54.38/54.67 (define @t1200 () (tptp.hBOOL (tptp.hAPP @t1186 @t153))) % 54.38/54.67 (define @t1201 () (tptp.hAPP @t514 @t153)) % 54.38/54.67 (define @t1202 () (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1201 @t490)) @t1140)) % 54.38/54.67 (define @t1203 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1201 @t1187)) @t1190)) @t1202))) % 54.38/54.67 (define @t1204 () (@list @t1140 @t490 @t1190 @t1187 @t153)) % 54.38/54.67 (define @t1205 () (tptp.hBOOL (tptp.hAPP @t1179 @t1187))) % 54.38/54.67 (define @t1206 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1188) @t153))) % 54.38/54.67 (define @t1207 () (= @t1202 @t1193)) % 54.38/54.67 (define @t1208 () (@list @t1190 @t1187 @t1188 @t1140 @t490 @t153)) % 54.38/54.67 (define @t1209 () (tptp.hAPP @t512 @t153)) % 54.38/54.67 (define @t1210 () (tptp.hBOOL (tptp.hAPP @t1209 @t1140))) % 54.38/54.67 (define @t1211 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1140) @t511))) % 54.38/54.67 (define @t1212 () (tptp.hAPP @t839 @t176)) % 54.38/54.67 (define @t1213 () (tptp.hAPP @t839 @t125)) % 54.38/54.67 (define @t1214 () (tptp.class_Lattices_Oboolean__algebra @t17)) % 54.38/54.67 (define @t1215 () (tptp.hAPP @t760 @t33)) % 54.38/54.67 (define @t1216 () (tptp.hAPP @t1215 @t359)) % 54.38/54.67 (define @t1217 () (tptp.hAPP @t1051 @t359)) % 54.38/54.67 (define @t1218 () (tptp.c_Groups_Ouminus__class_Ouminus @t231)) % 54.38/54.67 (define @t1219 () (tptp.hAPP @t1218 @t230)) % 54.38/54.67 (define @t1220 () (tptp.hAPP @t1218 @t226)) % 54.38/54.67 (define @t1221 () (tptp.c_Groups_Ominus__class_Ominus @t231)) % 54.38/54.67 (define @t1222 () (tptp.hAPP @t1221 @t226)) % 54.38/54.67 (define @t1223 () (tptp.hAPP @t1222 @t230)) % 54.38/54.67 (define @t1224 () (tptp.hAPP @t232 @t1223)) % 54.38/54.67 (define @t1225 () (@var "V_D_2" $$unsorted)) % 54.38/54.67 (define @t1226 () (tptp.hAPP @t1221 @t563)) % 54.38/54.67 (define @t1227 () (tptp.hAPP @t1221 @t230)) % 54.38/54.67 (define @t1228 () (tptp.hAPP (tptp.hAPP @t829 @t612) @t610)) % 54.38/54.67 (define @t1229 () (tptp.hAPP @t826 @t795)) % 54.38/54.67 (define @t1230 () (tptp.hAPP @t829 @t134)) % 54.38/54.67 (define @t1231 () (tptp.hAPP @t1230 @t596)) % 54.38/54.67 (define @t1232 () (@list @t731)) % 54.38/54.67 (define @t1233 () (tptp.hAPP @t1091 @t596)) % 54.38/54.67 (define @t1234 () (tptp.hAPP @t829 @t28)) % 54.38/54.67 (define @t1235 () (tptp.hAPP @t1234 @t27)) % 54.38/54.67 (define @t1236 () (tptp.hAPP @t523 @t27)) % 54.38/54.67 (define @t1237 () (tptp.hBOOL (tptp.hAPP @t1236 @t28))) % 54.38/54.67 (define @t1238 () (=> @t1237 (= @t636 @t1235))) % 54.38/54.67 (define @t1239 () (@list @t28 @t27)) % 54.38/54.67 (define @t1240 () (tptp.hAPP @t829 @t522)) % 54.38/54.67 (define @t1241 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t10)) % 54.38/54.67 (define @t1242 () (tptp.hAPP @t230 @t125)) % 54.38/54.67 (define @t1243 () (tptp.hAPP @t226 @t125)) % 54.38/54.67 (define @t1244 () (tptp.tc_fun @t67 @t17)) % 54.38/54.67 (define @t1245 () (@list @t125 @t226 @t67 @t17)) % 54.38/54.67 (define @t1246 () (tptp.class_Lattices_Oboolean__algebra @t10)) % 54.38/54.67 (define @t1247 () (tptp.hAPP (tptp.hAPP @t740 @t1092) @t663)) % 54.38/54.67 (define @t1248 () (tptp.hBOOL (tptp.hAPP @t111 @t511))) % 54.38/54.67 (define @t1249 () (tptp.hAPP @t79 @t176)) % 54.38/54.67 (define @t1250 () (tptp.hAPP @t740 @t125)) % 54.38/54.67 (define @t1251 () (tptp.hAPP @t1250 @t176)) % 54.38/54.67 (define @t1252 () (tptp.hAPP @t532 @t808)) % 54.38/54.67 (define @t1253 () (tptp.hAPP @t338 @t1092)) % 54.38/54.67 (define @t1254 () (tptp.hAPP @t1253 @t1233)) % 54.38/54.67 (define @t1255 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t808))) % 54.38/54.67 (define @t1256 () (not @t1255)) % 54.38/54.67 (define @t1257 () (tptp.hAPP @t338 @t56)) % 54.38/54.67 (define @t1258 () (tptp.hAPP @t1253 @t9)) % 54.38/54.67 (define @t1259 () (@list @t9 @t731)) % 54.38/54.67 (define @t1260 () (tptp.hAPP @t532 @t239)) % 54.38/54.67 (define @t1261 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 54.38/54.67 (define @t1262 () (@list @t239 @t58)) % 54.38/54.67 (define @t1263 () (@list @t28)) % 54.38/54.67 (define @t1264 () (@var "B_i" $$unsorted)) % 54.38/54.67 (define @t1265 () (tptp.hAPP @t111 @t1264)) % 54.38/54.67 (define @t1266 () (tptp.hBOOL @t1265)) % 54.38/54.67 (define @t1267 () (tptp.hAPP @t79 @t1264)) % 54.38/54.67 (define @t1268 () (@list @t1264)) % 54.38/54.67 (define @t1269 () (tptp.hBOOL @t112)) % 54.38/54.67 (define @t1270 () (@list @t33 @t111)) % 54.38/54.67 (define @t1271 () (tptp.hAPP @t729 @t176)) % 54.38/54.67 (define @t1272 () (tptp.hAPP @t745 @t125)) % 54.38/54.67 (define @t1273 () (tptp.hAPP @t1221 @t1223)) % 54.38/54.67 (define @t1274 () (@list @t153)) % 54.38/54.67 (define @t1275 () (tptp.hAPP @t729 @t149)) % 54.38/54.67 (define @t1276 () (tptp.hAPP @t1261 @t1275)) % 54.38/54.67 (define @t1277 () (tptp.hAPP @t1276 @t153)) % 54.38/54.67 (define @t1278 () (tptp.hAPP @t729 @t153)) % 54.38/54.67 (define @t1279 () (tptp.hAPP @t1261 @t149)) % 54.38/54.67 (define @t1280 () (tptp.hAPP @t1279 @t1278)) % 54.38/54.67 (define @t1281 () (@list @t153 @t149)) % 54.38/54.67 (define @t1282 () (tptp.hAPP @t1279 @t153)) % 54.38/54.67 (define @t1283 () (tptp.c_Divides_Odiv__class_Odiv @t10)) % 54.38/54.67 (define @t1284 () (tptp.class_Divides_Osemiring__div @t10)) % 54.38/54.67 (define @t1285 () (tptp.hAPP @t1283 @t149)) % 54.38/54.67 (define @t1286 () (= @t522 @t268)) % 54.38/54.67 (define @t1287 () (tptp.hAPP @t1261 @t28)) % 54.38/54.67 (define @t1288 () (tptp.hAPP @t1287 @t27)) % 54.38/54.67 (define @t1289 () (tptp.hAPP @t512 @t36)) % 54.38/54.67 (define @t1290 () (tptp.hAPP @t1261 @t36)) % 54.38/54.67 (define @t1291 () (tptp.hAPP @t1290 @t346)) % 54.38/54.67 (define @t1292 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1291) @t511))) % 54.38/54.67 (define @t1293 () (tptp.hAPP @t513 @t346)) % 54.38/54.67 (define @t1294 () (tptp.hBOOL @t1293)) % 54.38/54.67 (define @t1295 () (@list @t36 @t346)) % 54.38/54.67 (define @t1296 () (tptp.hAPP @t512 @t346)) % 54.38/54.67 (define @t1297 () (tptp.hBOOL (tptp.hAPP @t1296 @t511))) % 54.38/54.67 (define @t1298 () (tptp.hBOOL (tptp.hAPP @t513 @t153))) % 54.38/54.67 (define @t1299 () (tptp.hAPP @t512 @t149)) % 54.38/54.67 (define @t1300 () (tptp.hBOOL (tptp.hAPP @t1299 @t511))) % 54.38/54.67 (define @t1301 () (= @t149 @t511)) % 54.38/54.67 (define @t1302 () (not @t1301)) % 54.38/54.67 (define @t1303 () (@list @t149)) % 54.38/54.67 (define @t1304 () (tptp.hAPP @t1285 @t153)) % 54.38/54.67 (define @t1305 () (tptp.hAPP (tptp.hAPP @t1283 @t403) @t402)) % 54.38/54.67 (define @t1306 () (= @t150 @t261)) % 54.38/54.67 (define @t1307 () (not @t1306)) % 54.38/54.67 (define @t1308 () (=> @t1307 (= @t1305 @t1304))) % 54.38/54.67 (define @t1309 () (tptp.hAPP @t1283 @t317)) % 54.38/54.67 (define @t1310 () (@list @t125)) % 54.38/54.67 (define @t1311 () (@var "V_Z_2" $$unsorted)) % 54.38/54.67 (define @t1312 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t134))) % 54.38/54.67 (define @t1313 () (= @t359 @t511)) % 54.38/54.67 (define @t1314 () (tptp.hAPP (tptp.hAPP @t1261 @t31) @t359)) % 54.38/54.67 (define @t1315 () (@list @t359 @t31)) % 54.38/54.67 (define @t1316 () (tptp.hBOOL (tptp.hAPP @t528 @t36))) % 54.38/54.67 (define @t1317 () (tptp.hBOOL (tptp.hAPP @t528 @t1291))) % 54.38/54.67 (define @t1318 () (tptp.hBOOL (tptp.hAPP @t513 @t359))) % 54.38/54.67 (define @t1319 () (tptp.hAPP @t523 @t346)) % 54.38/54.67 (define @t1320 () (@list @t346 @t36)) % 54.38/54.67 (define @t1321 () (tptp.hAPP @t1279 @t1188)) % 54.38/54.67 (define @t1322 () (tptp.hAPP @t523 @t1282)) % 54.38/54.67 (define @t1323 () (tptp.hBOOL (tptp.hAPP @t528 @t149))) % 54.38/54.67 (define @t1324 () (@list @t153 @t1188 @t149)) % 54.38/54.67 (define @t1325 () (tptp.hBOOL (tptp.hAPP @t1322 @t511))) % 54.38/54.67 (define @t1326 () (tptp.hBOOL (tptp.hAPP @t1209 @t511))) % 54.38/54.67 (define @t1327 () (= @t1282 @t511)) % 54.38/54.67 (define @t1328 () (tptp.hBOOL (tptp.hAPP @t1299 @t153))) % 54.38/54.67 (define @t1329 () (tptp.hAPP @t523 @t149)) % 54.38/54.67 (define @t1330 () (tptp.hBOOL (tptp.hAPP @t1329 @t511))) % 54.38/54.67 (define @t1331 () (tptp.hBOOL (tptp.hAPP @t1209 @t149))) % 54.38/54.67 (define @t1332 () (@var "V_a_H" $$unsorted)) % 54.38/54.67 (define @t1333 () (tptp.hAPP (tptp.hAPP @t1261 @t1332) @t153)) % 54.38/54.67 (define @t1334 () (tptp.hBOOL (tptp.hAPP @t1329 @t1332))) % 54.38/54.67 (define @t1335 () (@list @t153 @t1332 @t149)) % 54.38/54.67 (define @t1336 () (tptp.hAPP @t1201 @t150)) % 54.38/54.67 (define @t1337 () (tptp.hBOOL (tptp.hAPP @t513 @t150))) % 54.38/54.67 (define @t1338 () (@list @t153 @t149 @t150)) % 54.38/54.67 (define @t1339 () (tptp.hAPP @t776 @t1304)) % 54.38/54.67 (define @t1340 () (tptp.hAPP @t773 @t402)) % 54.38/54.67 (define @t1341 () (tptp.hAPP @t773 @t315)) % 54.38/54.67 (define @t1342 () (tptp.hAPP (tptp.hAPP @t733 @t1304) @t645)) % 54.38/54.67 (define @t1343 () (= @t1092 @t56)) % 54.38/54.67 (define @t1344 () (@var "V_v_H_2" $$unsorted)) % 54.38/54.67 (define @t1345 () (tptp.hAPP @t752 @t1344)) % 54.38/54.67 (define @t1346 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1345))) % 54.38/54.67 (define @t1347 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t753))) % 54.38/54.67 (define @t1348 () (tptp.hAPP @t1091 @t1344)) % 54.38/54.67 (define @t1349 () (tptp.hAPP @t1091 @t751)) % 54.38/54.67 (define @t1350 () (@list @t1344 @t751)) % 54.38/54.67 (define @t1351 () (@var "V_v_H" $$unsorted)) % 54.38/54.67 (define @t1352 () (tptp.hAPP @t1091 (tptp.hAPP @t785 @t1351))) % 54.38/54.67 (define @t1353 () (tptp.hAPP @t1091 @t1351)) % 54.38/54.67 (define @t1354 () (tptp.hAPP (tptp.hAPP @t760 @t1353) @t239)) % 54.38/54.67 (define @t1355 () (tptp.hAPP @t760 @t1092)) % 54.38/54.67 (define @t1356 () (tptp.hAPP @t1355 @t1354)) % 54.38/54.67 (define @t1357 () (tptp.hAPP @t752 @t1351)) % 54.38/54.67 (define @t1358 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1357))) % 54.38/54.67 (define @t1359 () (not @t1358)) % 54.38/54.67 (define @t1360 () (@list @t239 @t1351 @t731)) % 54.38/54.67 (define @t1361 () (tptp.hAPP @t509 @t1092)) % 54.38/54.67 (define @t1362 () (tptp.hAPP @t514 @t359)) % 54.38/54.67 (define @t1363 () (= @t33 (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1362 @t1264)) @t217))) % 54.38/54.67 (define @t1364 () (and (tptp.hBOOL (tptp.hAPP @t1053 @t217)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t217) @t511)) @t1363)) % 54.38/54.67 (define @t1365 () (tptp.hAPP @t1053 @t511)) % 54.38/54.67 (define @t1366 () (tptp.hBOOL @t1365)) % 54.38/54.67 (define @t1367 () (and (tptp.hBOOL (tptp.hAPP @t528 @t217)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t217) @t359)) @t1363)) % 54.38/54.67 (define @t1368 () (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t1261 @t33) @t359))) % 54.38/54.67 (define @t1369 () (@list @t359 @t33 @t111)) % 54.38/54.67 (define @t1370 () (@var "V_b_1" $$unsorted)) % 54.38/54.67 (define @t1371 () (@var "V_a_1" $$unsorted)) % 54.38/54.67 (define @t1372 () (not (= @t1370 @t511))) % 54.38/54.67 (define @t1373 () (@var "V_r_1" $$unsorted)) % 54.38/54.67 (define @t1374 () (tptp.hAPP @t512 @t1370)) % 54.38/54.67 (define @t1375 () (tptp.hBOOL (tptp.hAPP @t513 @t1370))) % 54.38/54.67 (define @t1376 () (not @t1375)) % 54.38/54.67 (define @t1377 () (tptp.hAPP @t514 @t1370)) % 54.38/54.67 (define @t1378 () (tptp.hAPP @t1091 (tptp.c_Int_Osucc @t731))) % 54.38/54.67 (define @t1379 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1355 @t9))) % 54.38/54.67 (define @t1380 () (tptp.hAPP @t729 @t308)) % 54.38/54.67 (define @t1381 () (tptp.hAPP @t1261 @t239)) % 54.38/54.67 (define @t1382 () (tptp.c_SMT_Oz3div @t239 @t308)) % 54.38/54.67 (define @t1383 () (tptp.hBOOL (tptp.hAPP @t528 @t308))) % 54.38/54.67 (define @t1384 () (not @t1383)) % 54.38/54.67 (define @t1385 () (tptp.hAPP @t1381 @t308)) % 54.38/54.67 (define @t1386 () (@list @t239 @t308)) % 54.38/54.67 (define @t1387 () (tptp.hAPP tptp.c_Nat_OSuc @t1092)) % 54.38/54.67 (define @t1388 () (tptp.hAPP @t1261 @t661)) % 54.38/54.67 (define @t1389 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t1390 () (@list @t1351)) % 54.38/54.67 (define @t1391 () (tptp.hAPP @t1362 @t863)) % 54.38/54.67 (define @t1392 () (tptp.hAPP @t829 @t3)) % 54.38/54.67 (define @t1393 () (tptp.hAPP @t528 @t359)) % 54.38/54.67 (define @t1394 () (tptp.hBOOL @t1393)) % 54.38/54.67 (define @t1395 () (tptp.hAPP @t513 @t863)) % 54.38/54.67 (define @t1396 () (tptp.hBOOL @t1395)) % 54.38/54.67 (define @t1397 () (@list @t359 @t111 @t863)) % 54.38/54.67 (define @t1398 () (tptp.hAPP @t745 @t3)) % 54.38/54.67 (define @t1399 () (tptp.hAPP @t752 tptp.c_Int_OMin)) % 54.38/54.67 (define @t1400 () (tptp.hAPP @t745 @t149)) % 54.38/54.67 (define @t1401 () (tptp.hAPP @t1400 @t153)) % 54.38/54.67 (define @t1402 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1401) @t511))) % 54.38/54.67 (define @t1403 () (tptp.hBOOL (tptp.hAPP @t1265 @t217))) % 54.38/54.67 (define @t1404 () (@list @t1264 @t217)) % 54.38/54.67 (define @t1405 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t33 @t359)) % 54.38/54.67 (define @t1406 () (tptp.hBOOL (tptp.hAPP @t1368 @t1405))) % 54.38/54.67 (define @t1407 () (@list @t33 @t111 @t359)) % 54.38/54.67 (define @t1408 () (tptp.c_Int_Osucc @t239)) % 54.38/54.67 (define @t1409 () (tptp.hAPP @t829 @t239)) % 54.38/54.67 (define @t1410 () (tptp.c_Divides_Odiv__class_Omod @t10 @t149 @t153)) % 54.38/54.67 (define @t1411 () (tptp.c_Divides_Odiv__class_Omod @t10 @t153 @t150)) % 54.38/54.67 (define @t1412 () (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t773 @t1411) @t150)) % 54.38/54.67 (define @t1413 () (tptp.c_Divides_Odiv__class_Omod @t10 @t778 @t150)) % 54.38/54.67 (define @t1414 () (tptp.c_Divides_Odiv__class_Omod @t10 @t149 @t150)) % 54.38/54.67 (define @t1415 () (tptp.hAPP @t733 @t1414)) % 54.38/54.67 (define @t1416 () (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t1415 @t153) @t150)) % 54.38/54.67 (define @t1417 () (= @t1411 (tptp.c_Divides_Odiv__class_Omod @t10 @t1188 @t150))) % 54.38/54.67 (define @t1418 () (= @t1414 (tptp.c_Divides_Odiv__class_Omod @t10 @t1332 @t150))) % 54.38/54.67 (define @t1419 () (@list @t1188 @t153 @t1332 @t150 @t149 @t10)) % 54.38/54.67 (define @t1420 () (tptp.c_Divides_Odiv__class_Omod @t10 @t317 @t150)) % 54.38/54.67 (define @t1421 () (tptp.hAPP @t313 @t1414)) % 54.38/54.67 (define @t1422 () (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t1421 @t153) @t150)) % 54.38/54.67 (define @t1423 () (tptp.c_Divides_Odiv__class_Omod @t10 @t884 @t150)) % 54.38/54.67 (define @t1424 () (tptp.class_Divides_Oring__div @t10)) % 54.38/54.67 (define @t1425 () (tptp.hAPP @t789 @t1414)) % 54.38/54.67 (define @t1426 () (tptp.c_Divides_Odiv__class_Omod @t10 @t834 @t153)) % 54.38/54.67 (define @t1427 () (tptp.hAPP @t1389 @t58)) % 54.38/54.67 (define @t1428 () (tptp.hAPP @t1427 @t9)) % 54.38/54.67 (define @t1429 () (tptp.hAPP @t1389 @t9)) % 54.38/54.67 (define @t1430 () (tptp.hAPP @t1389 @t149)) % 54.38/54.67 (define @t1431 () (tptp.hAPP @t1430 @t153)) % 54.38/54.67 (define @t1432 () (tptp.hAPP @t288 @t153)) % 54.38/54.67 (define @t1433 () (tptp.hAPP @t1432 @t150)) % 54.38/54.67 (define @t1434 () (tptp.hAPP @t523 tptp.c_Int_OMin)) % 54.38/54.67 (define @t1435 () (tptp.hAPP @t512 tptp.c_Int_OMin)) % 54.38/54.67 (define @t1436 () (tptp.hAPP @t1181 @t153)) % 54.38/54.67 (define @t1437 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1436 @t150)) % 54.38/54.67 (define @t1438 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t153 @t150)) % 54.38/54.67 (define @t1439 () (tptp.hAPP @t1181 @t1438)) % 54.38/54.67 (define @t1440 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1439 @t150)) % 54.38/54.67 (define @t1441 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1235 @t58)) % 54.38/54.67 (define @t1442 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t28 @t58)) % 54.38/54.67 (define @t1443 () (@list @t27 @t58 @t28)) % 54.38/54.67 (define @t1444 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t149 @t153)) % 54.38/54.67 (define @t1445 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1275 @t153)) % 54.38/54.67 (define @t1446 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t149 @t1278)) % 54.38/54.67 (define @t1447 () (=> @t64 (= @t1428 @t56))) % 54.38/54.67 (define @t1448 () (tptp.hAPP (tptp.hAPP @t1389 @t1057) @t1056)) % 54.38/54.67 (define @t1449 () (= @t1448 @t1428)) % 54.38/54.67 (define @t1450 () (= @t239 @t56)) % 54.38/54.67 (define @t1451 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t28 @t27)) % 54.38/54.67 (define @t1452 () (tptp.hBOOL (tptp.hAPP @t528 @t58))) % 54.38/54.67 (define @t1453 () (tptp.hBOOL (tptp.hAPP @t1209 @t1444))) % 54.38/54.67 (define @t1454 () (@list @t149 @t153)) % 54.38/54.67 (define @t1455 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1444) @t153))) % 54.38/54.67 (define @t1456 () (tptp.hAPP @t509 @t153)) % 54.38/54.67 (define @t1457 () (tptp.hAPP @t509 @t149)) % 54.38/54.67 (define @t1458 () (@var "B_q" $$unsorted)) % 54.38/54.67 (define @t1459 () (@list @t1458)) % 54.38/54.67 (define @t1460 () (@list @t863 @t86)) % 54.38/54.67 (define @t1461 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t239 @t308)) % 54.38/54.67 (define @t1462 () (not (= @t1461 @t511))) % 54.38/54.67 (define @t1463 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t239 @t1380)) % 54.38/54.67 (define @t1464 () (@list @t308 @t239)) % 54.38/54.67 (define @t1465 () (tptp.hAPP @t1261 @t153)) % 54.38/54.67 (define @t1466 () (tptp.hAPP @t1465 @t150)) % 54.38/54.67 (define @t1467 () (tptp.hAPP @t787 tptp.c_Int_OMin)) % 54.38/54.67 (define @t1468 () (tptp.hAPP @t829 @t153)) % 54.38/54.67 (define @t1469 () (tptp.hAPP @t1468 @t661)) % 54.38/54.67 (define @t1470 () (tptp.hAPP (tptp.hAPP @t313 @t1304) @t153)) % 54.38/54.67 (define @t1471 () (tptp.hAPP (tptp.hAPP @t733 (tptp.hAPP @t314 @t1304)) @t1410)) % 54.38/54.67 (define @t1472 () (tptp.hAPP (tptp.hAPP @t733 @t1470) @t1410)) % 54.38/54.67 (define @t1473 () (tptp.hAPP @t1389 @t239)) % 54.38/54.67 (define @t1474 () (tptp.hAPP @t60 @t663)) % 54.38/54.67 (define @t1475 () (tptp.hBOOL (tptp.hAPP @t1474 @t9))) % 54.38/54.67 (define @t1476 () (tptp.hAPP @t818 @t134)) % 54.38/54.67 (define @t1477 () (tptp.hAPP @t313 @t134)) % 54.38/54.67 (define @t1478 () (= @t1444 @t149)) % 54.38/54.67 (define @t1479 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1444) @t511))) % 54.38/54.67 (define @t1480 () (tptp.hBOOL (tptp.hAPP @t528 @t1444))) % 54.38/54.67 (define @t1481 () (= @t1444 @t511)) % 54.38/54.67 (define @t1482 () (not @t1481)) % 54.38/54.67 (define @t1483 () (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1201 @t1282)) @t1444)) % 54.38/54.67 (define @t1484 () (tptp.hAPP @t1400 @t239)) % 54.38/54.67 (define @t1485 () (tptp.hAPP (tptp.hAPP @t514 @t58) @t9)) % 54.38/54.67 (define @t1486 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t58 @t9)) % 54.38/54.67 (define @t1487 () (tptp.hAPP @t829 @t58)) % 54.38/54.67 (define @t1488 () (tptp.hAPP (tptp.hAPP @t1261 @t58) @t9)) % 54.38/54.67 (define @t1489 () (tptp.hAPP (tptp.hAPP @t514 @t9) @t1488)) % 54.38/54.67 (define @t1490 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1389 @t768) @t9))) % 54.38/54.67 (define @t1491 () (= @t1428 @t1490)) % 54.38/54.67 (define @t1492 () (=> @t248 @t1491)) % 54.38/54.67 (define @t1493 () (= @t33 (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t367 @t1264)) @t217))) % 54.38/54.67 (define @t1494 () (tptp.hBOOL (tptp.hAPP @t218 @t359))) % 54.38/54.67 (define @t1495 () (not @t360)) % 54.38/54.67 (define @t1496 () (tptp.hAPP tptp.c_Int_Onat @t1288)) % 54.38/54.67 (define @t1497 () (tptp.hAPP (tptp.hAPP @t1389 @t644) @t727)) % 54.38/54.67 (define @t1498 () (tptp.hAPP (tptp.hAPP @t1389 @t86) @t33)) % 54.38/54.67 (define @t1499 () (@var "V_q_2" $$unsorted)) % 54.38/54.67 (define @t1500 () (@var "V_q_1" $$unsorted)) % 54.38/54.67 (define @t1501 () (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1201 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t490 @t150))) @t1140)) % 54.38/54.67 (define @t1502 () (@list @t490 @t1140 @t153 @t150)) % 54.38/54.67 (define @t1503 () (@list @t490 @t153 @t1140 @t150)) % 54.38/54.67 (define @t1504 () (tptp.hBOOL (tptp.hAPP @t111 @t217))) % 54.38/54.67 (define @t1505 () (tptp.hAPP @t729 @t1282)) % 54.38/54.67 (define @t1506 () (tptp.hAPP (tptp.hAPP @t829 @t1505) @t661)) % 54.38/54.67 (define @t1507 () (not (= @t153 @t511))) % 54.38/54.67 (define @t1508 () (tptp.hAPP @t1261 @t808)) % 54.38/54.67 (define @t1509 () (tptp.hAPP (tptp.hAPP @t1389 @t1092) @t1353)) % 54.38/54.67 (define @t1510 () (@list @t1351 @t731)) % 54.38/54.67 (define @t1511 () (tptp.c_SMT_Oz3mod @t239 @t308)) % 54.38/54.67 (define @t1512 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t221 @t1353)) % 54.38/54.67 (define @t1513 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1092 @t1353)) % 54.38/54.67 (define @t1514 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 54.38/54.67 (define @t1515 () (tptp.hAPP (tptp.hAPP @t514 (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1514 (tptp.hAPP @t1234 @t134))) @t661)) @t407)) % 54.38/54.67 (define @t1516 () (tptp.hBOOL (tptp.hAPP @t513 @t407))) % 54.38/54.67 (define @t1517 () (tptp.hAPP @t1355 @t663)) % 54.38/54.67 (define @t1518 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t731) tptp.c_Int_OPls))) % 54.38/54.67 (define @t1519 () (not @t1518)) % 54.38/54.67 (define @t1520 () (tptp.hAPP @t1061 @t1092)) % 54.38/54.67 (define @t1521 () (tptp.hAPP @t745 tptp.c_Int_OPls)) % 54.38/54.67 (define @t1522 () (@list @t176 @t17)) % 54.38/54.67 (define @t1523 () (tptp.c_Groups_Oabs__class_Oabs @t10)) % 54.38/54.67 (define @t1524 () (tptp.hAPP @t1523 @t149)) % 54.38/54.67 (define @t1525 () (tptp.class_Groups_Oordered__ab__group__add__abs @t10)) % 54.38/54.67 (define @t1526 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1524) @t153))) % 54.38/54.67 (define @t1527 () (tptp.c_Groups_Oabs__class_Oabs @t17)) % 54.38/54.67 (define @t1528 () (tptp.hAPP @t1527 @t36)) % 54.38/54.67 (define @t1529 () (tptp.class_Groups_Oordered__ab__group__add__abs @t17)) % 54.38/54.67 (define @t1530 () (tptp.hAPP @t1523 @t153)) % 54.38/54.67 (define @t1531 () (tptp.hAPP (tptp.hAPP @t733 @t1524) @t1530)) % 54.38/54.67 (define @t1532 () (tptp.hAPP @t313 @t1524)) % 54.38/54.67 (define @t1533 () (tptp.hAPP @t1532 @t1530)) % 54.38/54.67 (define @t1534 () (= (tptp.hAPP @t1523 @t317) @t1533)) % 54.38/54.67 (define @t1535 () (tptp.hAPP @t1523 @t890)) % 54.38/54.67 (define @t1536 () (tptp.hAPP @t1523 @t884)) % 54.38/54.67 (define @t1537 () (tptp.hAPP @t254 @t1524)) % 54.38/54.67 (define @t1538 () (tptp.hAPP @t1537 @t9)) % 54.38/54.67 (define @t1539 () (tptp.hAPP @t1523 @t258)) % 54.38/54.67 (define @t1540 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t58 @t9)) % 54.38/54.67 (define @t1541 () (tptp.hAPP tptp.c_Nat_OSuc @t1540)) % 54.38/54.67 (define @t1542 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t59 @t9)) % 54.38/54.67 (define @t1543 () (=> @t64 (= @t1540 @t58))) % 54.38/54.67 (define @t1544 () (tptp.hAPP @t79 @t1540)) % 54.38/54.67 (define @t1545 () (tptp.hAPP @t523 tptp.c_Int_OPls)) % 54.38/54.67 (define @t1546 () (tptp.hAPP @t512 tptp.c_Int_OPls)) % 54.38/54.67 (define @t1547 () (tptp.hAPP @t729 tptp.c_Int_OPls)) % 54.38/54.67 (define @t1548 () (tptp.hAPP @t49 @t1528)) % 54.38/54.67 (define @t1549 () (= @t1524 @t149)) % 54.38/54.67 (define @t1550 () (tptp.hAPP @t114 @t1524)) % 54.38/54.67 (define @t1551 () (not @t348)) % 54.38/54.67 (define @t1552 () (@list @t407 @t153 @t150 @t149 @t10)) % 54.38/54.67 (define @t1553 () (tptp.hAPP (tptp.hAPP @t789 @t1524) @t1530)) % 54.38/54.67 (define @t1554 () (tptp.hAPP @t75 @t1553)) % 54.38/54.67 (define @t1555 () (tptp.hAPP @t75 @t834)) % 54.38/54.67 (define @t1556 () (tptp.hBOOL (tptp.hAPP @t1555 @t153))) % 54.38/54.67 (define @t1557 () (= @t1541 @t9)) % 54.38/54.67 (define @t1558 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t768 @t9)) % 54.38/54.67 (define @t1559 () (= @t1540 @t1558)) % 54.38/54.67 (define @t1560 () (=> @t248 @t1559)) % 54.38/54.67 (define @t1561 () (tptp.hAPP (tptp.hAPP @t760 @t1056) @t58)) % 54.38/54.67 (define @t1562 () (tptp.hAPP @t787 tptp.c_Int_OPls)) % 54.38/54.67 (define @t1563 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t28 @t27)) % 54.38/54.67 (define @t1564 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t149 @t153)) % 54.38/54.67 (define @t1565 () (tptp.hAPP @t1523 @t239)) % 54.38/54.67 (define @t1566 () (tptp.hAPP @t1523 @t28)) % 54.38/54.67 (define @t1567 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t153 @t150)) % 54.38/54.67 (define @t1568 () (tptp.hAPP (tptp.hAPP @t1389 @t153) @t150)) % 54.38/54.67 (define @t1569 () (tptp.hAPP (tptp.hAPP @t760 @t149) @t153)) % 54.38/54.67 (define @t1570 () (tptp.hAPP @t1091 tptp.c_Int_OPls)) % 54.38/54.67 (define @t1571 () (tptp.hAPP @t752 tptp.c_Int_OPls)) % 54.38/54.67 (define @t1572 () (= @t1524 @t834)) % 54.38/54.67 (define @t1573 () (=> @t438 @t1572)) % 54.38/54.67 (define @t1574 () (and @t793 @t280)) % 54.38/54.67 (define @t1575 () (tptp.hAPP @t1514 @t522)) % 54.38/54.67 (define @t1576 () (tptp.hAPP @t1514 @t240)) % 54.38/54.67 (define @t1577 () (tptp.hBOOL (tptp.hAPP @t517 @t511))) % 54.38/54.67 (define @t1578 () (tptp.hAPP @t288 @t149)) % 54.38/54.67 (define @t1579 () (tptp.hAPP @t1578 @t153)) % 54.38/54.67 (define @t1580 () (tptp.hAPP @t1514 @t28)) % 54.38/54.67 (define @t1581 () (tptp.hAPP @t767 @t1540)) % 54.38/54.67 (define @t1582 () (tptp.hAPP (tptp.hAPP @t288 @t1428) @t9)) % 54.38/54.67 (define @t1583 () (tptp.hAPP @t523 @t751)) % 54.38/54.67 (define @t1584 () (tptp.hBOOL (tptp.hAPP @t1583 tptp.c_Int_OPls))) % 54.38/54.67 (define @t1585 () (= @t1349 @t56)) % 54.38/54.67 (define @t1586 () (@list @t751)) % 54.38/54.67 (define @t1587 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t751) @t1344))) % 54.38/54.67 (define @t1588 () (tptp.hAPP @t60 @t1349)) % 54.38/54.67 (define @t1589 () (tptp.hAPP @t79 @t1349)) % 54.38/54.67 (define @t1590 () (tptp.hAPP @t787 @t28)) % 54.38/54.67 (define @t1591 () (tptp.hAPP @t1523 @t1590)) % 54.38/54.67 (define @t1592 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1590) @t261))) % 54.38/54.67 (define @t1593 () (tptp.hAPP @t254 @t1467)) % 54.38/54.67 (define @t1594 () (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t1432 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t490 @t150))) @t1140)) % 54.38/54.67 (define @t1595 () (tptp.hBOOL (tptp.hAPP @t81 @t150))) % 54.38/54.67 (define @t1596 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t644 @t727)) % 54.38/54.67 (define @t1597 () (tptp.hAPP tptp.c_Int_Onat @t1451)) % 54.38/54.67 (define @t1598 () (tptp.hAPP @t1514 @t125)) % 54.38/54.67 (define @t1599 () (tptp.hAPP @t1355 @t1353)) % 54.38/54.67 (define @t1600 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1351) tptp.c_Int_OPls))) % 54.38/54.67 (define @t1601 () (tptp.hAPP @t1091 (tptp.hAPP @t1089 @t1351))) % 54.38/54.67 (define @t1602 () (tptp.hAPP @t288 @t1092)) % 54.38/54.67 (define @t1603 () (tptp.hAPP @t1602 @t1353)) % 54.38/54.67 (define @t1604 () (tptp.hAPP @t1602 (tptp.hAPP (tptp.hAPP @t288 @t1353) @t239))) % 54.38/54.67 (define @t1605 () (tptp.hAPP @t1091 (tptp.c_Int_Opred @t731))) % 54.38/54.67 (define @t1606 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t731) tptp.c_Int_OPls))) % 54.38/54.67 (define @t1607 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 54.38/54.67 (define @t1608 () (tptp.hAPP @t745 @t1607)) % 54.38/54.67 (define @t1609 () (tptp.hAPP @t729 @t1607)) % 54.38/54.67 (define @t1610 () (tptp.hAPP @t2 @t1264)) % 54.38/54.67 (define @t1611 () (= @t1610 @t359)) % 54.38/54.67 (define @t1612 () (tptp.hBOOL (tptp.hAPP @t1267 @t33))) % 54.38/54.67 (define @t1613 () (tptp.hBOOL (tptp.hAPP @t1046 @t52))) % 54.38/54.67 (define @t1614 () (tptp.hAPP @t2 @t56)) % 54.38/54.67 (define @t1615 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 (tptp.hAPP @t1514 (tptp.hAPP (tptp.hAPP @t829 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t760 @t1264) @t663))) @t1610))) @t661))) % 54.38/54.67 (define @t1616 () (tptp.hAPP @t60 @t1264)) % 54.38/54.67 (define @t1617 () (tptp.hBOOL (tptp.hAPP @t1616 @t33))) % 54.38/54.67 (define @t1618 () (tptp.c_Int_OBit1 @t239)) % 54.38/54.67 (define @t1619 () (= @t359 @t1045)) % 54.38/54.67 (define @t1620 () (tptp.c_Int_OBit1 @t1045)) % 54.38/54.67 (define @t1621 () (tptp.c_Int_OBit1 @t359)) % 54.38/54.67 (define @t1622 () (tptp.hAPP @t523 @t1621)) % 54.38/54.67 (define @t1623 () (@var "V_k2_2" $$unsorted)) % 54.38/54.67 (define @t1624 () (@var "V_k1_2" $$unsorted)) % 54.38/54.67 (define @t1625 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1624) @t1623))) % 54.38/54.67 (define @t1626 () (tptp.c_Int_OBit1 @t1623)) % 54.38/54.67 (define @t1627 () (tptp.c_Int_OBit1 @t1624)) % 54.38/54.67 (define @t1628 () (tptp.hAPP @t523 @t1627)) % 54.38/54.67 (define @t1629 () (@list @t1623 @t1624)) % 54.38/54.67 (define @t1630 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1624) @t1623))) % 54.38/54.67 (define @t1631 () (tptp.hAPP @t512 @t1627)) % 54.38/54.67 (define @t1632 () (tptp.hAPP @t512 @t1621)) % 54.38/54.67 (define @t1633 () (tptp.c_Int_OBit1 @t308)) % 54.38/54.67 (define @t1634 () (@list @t308)) % 54.38/54.67 (define @t1635 () (@list @t1045)) % 54.38/54.67 (define @t1636 () (@list @t359)) % 54.38/54.67 (define @t1637 () (tptp.hBOOL (tptp.hAPP @t629 @t511))) % 54.38/54.67 (define @t1638 () (tptp.c_Int_OBit1 @t521)) % 54.38/54.67 (define @t1639 () (@list @t521)) % 54.38/54.67 (define @t1640 () (tptp.hBOOL (tptp.hAPP @t1545 @t359))) % 54.38/54.67 (define @t1641 () (tptp.hBOOL (tptp.hAPP @t1053 tptp.c_Int_OPls))) % 54.38/54.67 (define @t1642 () (tptp.hBOOL (tptp.hAPP @t1046 tptp.c_Int_OMin))) % 54.38/54.67 (define @t1643 () (tptp.hBOOL (tptp.hAPP @t1435 @t359))) % 54.38/54.67 (define @t1644 () (tptp.hAPP @t752 @t521)) % 54.38/54.67 (define @t1645 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1644))) % 54.38/54.67 (define @t1646 () (tptp.hAPP @t787 (tptp.c_Int_OBit1 @t596))) % 54.38/54.67 (define @t1647 () (tptp.c_Int_Opred @t239)) % 54.38/54.67 (define @t1648 () (tptp.hAPP @t1146 @t790)) % 54.38/54.67 (define @t1649 () (tptp.hAPP @t787 @t1607)) % 54.38/54.67 (define @t1650 () (tptp.hAPP @t1091 @t1607)) % 54.38/54.67 (define @t1651 () (tptp.hAPP @t829 tptp.c_Int_OMin)) % 54.38/54.67 (define @t1652 () (tptp.hAPP @t1651 @t308)) % 54.38/54.67 (define @t1653 () (tptp.c_Int_OBit1 @t1652)) % 54.38/54.67 (define @t1654 () (tptp.hAPP @t829 tptp.c_Int_OPls)) % 54.38/54.67 (define @t1655 () (tptp.hAPP tptp.c_Nat_OSuc @t221)) % 54.38/54.67 (define @t1656 () (tptp.c_Int_OBit1 @t1607)) % 54.38/54.67 (define @t1657 () (tptp.hAPP @t1091 @t1656)) % 54.38/54.67 (define @t1658 () (tptp.hAPP @t752 @t1656)) % 54.38/54.67 (define @t1659 () (tptp.hAPP @t760 @t1657)) % 54.38/54.67 (define @t1660 () (tptp.hAPP @t1659 @t9)) % 54.38/54.67 (define @t1661 () (tptp.hAPP tptp.c_Nat_OSuc @t12)) % 54.38/54.67 (define @t1662 () (tptp.hAPP tptp.c_Nat_OSuc @t1661)) % 54.38/54.67 (define @t1663 () (tptp.hAPP @t1659 @t58)) % 54.38/54.67 (define @t1664 () (tptp.hAPP tptp.c_Nat_OSuc @t59)) % 54.38/54.67 (define @t1665 () (tptp.hAPP tptp.c_Nat_OSuc @t1664)) % 54.38/54.67 (define @t1666 () (@list @t731 @t58)) % 54.38/54.67 (define @t1667 () (tptp.hAPP @t1389 @t1663)) % 54.38/54.67 (define @t1668 () (tptp.hAPP @t1389 @t1665)) % 54.38/54.67 (define @t1669 () (tptp.hAPP @t752 (tptp.c_Int_Opred @t751))) % 54.38/54.67 (define @t1670 () (tptp.hAPP @t809 @t661)) % 54.38/54.67 (define @t1671 () (tptp.c_Int_OBit0 @t1607)) % 54.38/54.67 (define @t1672 () (tptp.hAPP @t752 @t1671)) % 54.38/54.67 (define @t1673 () (tptp.hAPP @t514 @t1672)) % 54.38/54.67 (define @t1674 () (tptp.c_Int_OBit0 @t596)) % 54.38/54.67 (define @t1675 () (tptp.hAPP @t752 @t1674)) % 54.38/54.67 (define @t1676 () (tptp.hAPP @t752 (tptp.c_Int_OBit1 @t731))) % 54.38/54.67 (define @t1677 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1676 @t1675)) % 54.38/54.67 (define @t1678 () (tptp.hBOOL (tptp.hAPP @t528 @t807))) % 54.38/54.67 (define @t1679 () (not @t1678)) % 54.38/54.67 (define @t1680 () (tptp.hAPP @t1673 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t808 @t807))) % 54.38/54.67 (define @t1681 () (@list @t731 @t596)) % 54.38/54.67 (define @t1682 () (tptp.hAPP (tptp.hAPP @t745 @t153) @t661)) % 54.38/54.67 (define @t1683 () (tptp.hAPP @t1673 @t149)) % 54.38/54.67 (define @t1684 () (tptp.hAPP @t1673 @t153)) % 54.38/54.67 (define @t1685 () (tptp.hAPP @t746 @t1684)) % 54.38/54.67 (define @t1686 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1685 @t1683)) % 54.38/54.67 (define @t1687 () (tptp.hAPP (tptp.hAPP @t1261 @t1685) @t1683)) % 54.38/54.67 (define @t1688 () (tptp.hAPP @t333 @t644)) % 54.38/54.67 (define @t1689 () (tptp.hAPP @t1091 @t1671)) % 54.38/54.67 (define @t1690 () (tptp.c_Int_OBit0 @t1045)) % 54.38/54.67 (define @t1691 () (tptp.c_Int_OBit0 @t359)) % 54.38/54.67 (define @t1692 () (tptp.c_Int_OBit0 @t1623)) % 54.38/54.67 (define @t1693 () (tptp.c_Int_OBit0 @t1624)) % 54.38/54.67 (define @t1694 () (tptp.hAPP @t523 @t1693)) % 54.38/54.67 (define @t1695 () (tptp.hAPP @t523 @t1691)) % 54.38/54.67 (define @t1696 () (tptp.hAPP @t512 @t1691)) % 54.38/54.67 (define @t1697 () (tptp.hAPP @t512 @t1693)) % 54.38/54.67 (define @t1698 () (tptp.c_Int_OBit0 @t308)) % 54.38/54.67 (define @t1699 () (tptp.c_Int_OBit0 @t239)) % 54.38/54.67 (define @t1700 () (tptp.hAPP @t1080 @t308)) % 54.38/54.67 (define @t1701 () (tptp.hAPP @t745 @t1699)) % 54.38/54.67 (define @t1702 () (tptp.c_Int_OBit0 (tptp.hAPP @t515 @t308))) % 54.38/54.67 (define @t1703 () (tptp.hAPP @t1409 @t308)) % 54.38/54.67 (define @t1704 () (tptp.c_Int_OBit0 @t1703)) % 54.38/54.67 (define @t1705 () (tptp.hAPP @t829 @t1699)) % 54.38/54.67 (define @t1706 () (tptp.c_Int_OBit0 @t521)) % 54.38/54.67 (define @t1707 () (tptp.c_Int_OBit1 @t1700)) % 54.38/54.67 (define @t1708 () (tptp.hAPP @t745 @t1618)) % 54.38/54.67 (define @t1709 () (tptp.hAPP @t829 @t1618)) % 54.38/54.67 (define @t1710 () (tptp.hAPP @t1508 @t807)) % 54.38/54.67 (define @t1711 () (tptp.hAPP @t752 (tptp.c_Int_OBit0 @t731))) % 54.38/54.67 (define @t1712 () (@list @t521 @t17)) % 54.38/54.67 (define @t1713 () (tptp.hAPP @t787 @t1674)) % 54.38/54.67 (define @t1714 () (tptp.hAPP @t752 @t9)) % 54.38/54.67 (define @t1715 () (tptp.hAPP @t733 @t134)) % 54.38/54.67 (define @t1716 () (tptp.hAPP @t1715 @t134)) % 54.38/54.67 (define @t1717 () (tptp.hAPP @t787 @t1671)) % 54.38/54.67 (define @t1718 () (tptp.hAPP @t313 @t1717)) % 54.38/54.67 (define @t1719 () (tptp.hAPP @t448 @t1689)) % 54.38/54.67 (define @t1720 () (tptp.hAPP @t491 @t1689)) % 54.38/54.67 (define @t1721 () (tptp.hAPP @t257 @t1689)) % 54.38/54.67 (define @t1722 () (tptp.hAPP (tptp.hAPP @t760 @t134) @t134)) % 54.38/54.67 (define @t1723 () (tptp.hAPP @t288 @t1689)) % 54.38/54.67 (define @t1724 () (tptp.hAPP (tptp.hAPP @t254 @t258) @t1689)) % 54.38/54.67 (define @t1725 () (tptp.hAPP @t1723 @t9)) % 54.38/54.67 (define @t1726 () (tptp.hAPP @t257 @t1725)) % 54.38/54.67 (define @t1727 () (tptp.hAPP tptp.c_Int_Onat @t1672)) % 54.38/54.67 (define @t1728 () (tptp.hAPP @t507 @t1689)) % 54.38/54.67 (define @t1729 () (tptp.hAPP @t447 @t125)) % 54.38/54.67 (define @t1730 () (tptp.hAPP (tptp.hAPP @t836 (tptp.hAPP @t1729 @t1689)) (tptp.hAPP (tptp.hAPP @t447 @t176) @t1689))) % 54.38/54.67 (define @t1731 () (tptp.hAPP @t798 @t596)) % 54.38/54.67 (define @t1732 () (tptp.hAPP @t491 @t9)) % 54.38/54.67 (define @t1733 () (tptp.hAPP (tptp.hAPP @t313 @t1732) @t1732)) % 54.38/54.67 (define @t1734 () (@list @t9 @t28 @t10)) % 54.38/54.67 (define @t1735 () (tptp.hAPP (tptp.hAPP @t733 @t1720) @t1728)) % 54.38/54.67 (define @t1736 () (tptp.hAPP (tptp.hAPP @t313 (tptp.hAPP @t1718 @t28)) @t27)) % 54.38/54.67 (define @t1737 () (tptp.hAPP @t820 @t27)) % 54.38/54.67 (define @t1738 () (tptp.hAPP tptp.c_Nat_OSuc @t1725)) % 54.38/54.67 (define @t1739 () (tptp.hAPP @t257 @t1738)) % 54.38/54.67 (define @t1740 () (tptp.hAPP (tptp.hAPP @t1261 @t1676) @t1675)) % 54.38/54.67 (define @t1741 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t86 @t1689)) % 54.38/54.67 (define @t1742 () (@list @t86)) % 54.38/54.67 (define @t1743 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.67 (define @t1744 () (tptp.hAPP @t1743 @t1671)) % 54.38/54.67 (define @t1745 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.67 (define @t1746 () (tptp.hAPP @t1673 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t1745 @t239) @t1744)))) % 54.38/54.67 (define @t1747 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t239)) % 54.38/54.67 (define @t1748 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.67 (define @t1749 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t239 @t1744) @t1748)) % 54.38/54.67 (define @t1750 () (= @t239 @t1748)) % 54.38/54.67 (define @t1751 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.67 (define @t1752 () (tptp.c_Rings_Oinverse__class_Odivide @t10)) % 54.38/54.67 (define @t1753 () (@var "V_r_2" $$unsorted)) % 54.38/54.67 (define @t1754 () (tptp.c_Rings_Oinverse__class_Odivide @t17)) % 54.38/54.67 (define @t1755 () (tptp.class_Fields_Olinordered__field__inverse__zero @t17)) % 54.38/54.67 (define @t1756 () (@list @t1753 @t17)) % 54.38/54.67 (define @t1757 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.67 (define @t1758 () (tptp.hAPP @t1752 @t149)) % 54.38/54.67 (define @t1759 () (tptp.class_Rings_Odivision__ring__inverse__zero @t10)) % 54.38/54.67 (define @t1760 () (tptp.class_Rings_Odivision__ring @t10)) % 54.38/54.67 (define @t1761 () (tptp.hAPP (tptp.hAPP @t1752 @t153) @t150)) % 54.38/54.67 (define @t1762 () (tptp.hAPP @t1758 @t150)) % 54.38/54.67 (define @t1763 () (tptp.hAPP @t1752 @t778)) % 54.38/54.67 (define @t1764 () (tptp.hAPP @t1752 @t28)) % 54.38/54.67 (define @t1765 () (tptp.hAPP @t1764 @t27)) % 54.38/54.67 (define @t1766 () (tptp.class_Fields_Ofield__inverse__zero @t10)) % 54.38/54.67 (define @t1767 () (tptp.hAPP @t1752 @t834)) % 54.38/54.67 (define @t1768 () (tptp.hAPP @t1758 @t153)) % 54.38/54.67 (define @t1769 () (tptp.hAPP @t818 @t1768)) % 54.38/54.67 (define @t1770 () (= (tptp.hAPP @t1767 @t886) @t1768)) % 54.38/54.67 (define @t1771 () (= @t1769 (tptp.hAPP @t1758 @t886))) % 54.38/54.67 (define @t1772 () (= (tptp.hAPP (tptp.hAPP @t254 @t1768) @t9) (tptp.hAPP (tptp.hAPP @t1752 @t258) @t256))) % 54.38/54.67 (define @t1773 () (= (tptp.hAPP @t1523 @t1768) (tptp.hAPP (tptp.hAPP @t1752 @t1524) @t1530))) % 54.38/54.67 (define @t1774 () (tptp.c_Nat__Transfer_Ois__nat @t27)) % 54.38/54.67 (define @t1775 () (tptp.c_Nat__Transfer_Ois__nat @t28)) % 54.38/54.67 (define @t1776 () (tptp.hAPP (tptp.hAPP @t1754 @t36) @t346)) % 54.38/54.67 (define @t1777 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1762) @t1761))) % 54.38/54.67 (define @t1778 () (tptp.class_Fields_Olinordered__field @t10)) % 54.38/54.67 (define @t1779 () (tptp.hBOOL (tptp.hAPP @t430 @t1765))) % 54.38/54.67 (define @t1780 () (tptp.hBOOL (tptp.hAPP @t115 @t261))) % 54.38/54.67 (define @t1781 () (tptp.hBOOL (tptp.hAPP @t117 @t261))) % 54.38/54.67 (define @t1782 () (tptp.hAPP @t114 @t1765)) % 54.38/54.67 (define @t1783 () (tptp.hBOOL (tptp.hAPP @t1782 @t261))) % 54.38/54.67 (define @t1784 () (tptp.hBOOL (tptp.hAPP @t430 @t27))) % 54.38/54.67 (define @t1785 () (tptp.hBOOL (tptp.hAPP @t269 @t346))) % 54.38/54.67 (define @t1786 () (tptp.hBOOL (tptp.hAPP @t412 @t268))) % 54.38/54.67 (define @t1787 () (= @t422 @t346)) % 54.38/54.67 (define @t1788 () (tptp.hAPP @t1754 @t346)) % 54.38/54.67 (define @t1789 () (tptp.hAPP @t1788 @t55)) % 54.38/54.67 (define @t1790 () (= @t36 @t1789)) % 54.38/54.67 (define @t1791 () (= @t55 @t268)) % 54.38/54.67 (define @t1792 () (not @t1791)) % 54.38/54.67 (define @t1793 () (tptp.class_Rings_Odivision__ring @t17)) % 54.38/54.67 (define @t1794 () (= @t346 @t422)) % 54.38/54.67 (define @t1795 () (= @t1789 @t36)) % 54.38/54.67 (define @t1796 () (@list @t36 @t346 @t55 @t17)) % 54.38/54.67 (define @t1797 () (=> @t1791 @t348)) % 54.38/54.67 (define @t1798 () (tptp.class_Fields_Ofield__inverse__zero @t17)) % 54.38/54.67 (define @t1799 () (@list @t36 @t55 @t346 @t17)) % 54.38/54.67 (define @t1800 () (tptp.class_Fields_Ofield @t17)) % 54.38/54.67 (define @t1801 () (tptp.hAPP @t1758 @t149)) % 54.38/54.67 (define @t1802 () (=> @t357 (= @t1801 @t645))) % 54.38/54.67 (define @t1803 () (tptp.class_Fields_Ofield @t10)) % 54.38/54.67 (define @t1804 () (tptp.hAPP @t1752 @t645)) % 54.38/54.67 (define @t1805 () (tptp.hBOOL (tptp.hAPP @t262 @t1765))) % 54.38/54.67 (define @t1806 () (tptp.hBOOL (tptp.hAPP @t76 @t261))) % 54.38/54.67 (define @t1807 () (tptp.hAPP @t75 @t1765)) % 54.38/54.67 (define @t1808 () (tptp.hBOOL (tptp.hAPP @t1807 @t261))) % 54.38/54.67 (define @t1809 () (tptp.hAPP @t1752 @t27)) % 54.38/54.67 (define @t1810 () (tptp.hAPP @t1809 @t596)) % 54.38/54.67 (define @t1811 () (tptp.hAPP @t1764 @t134)) % 54.38/54.67 (define @t1812 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t596) @t134))) % 54.38/54.67 (define @t1813 () (tptp.hBOOL (tptp.hAPP @t430 @t596))) % 54.38/54.67 (define @t1814 () (@list @t134 @t596 @t27 @t28 @t10)) % 54.38/54.67 (define @t1815 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1811) @t1810))) % 54.38/54.67 (define @t1816 () (tptp.hAPP @t1752 @t150)) % 54.38/54.67 (define @t1817 () (tptp.hAPP @t1816 @t153)) % 54.38/54.67 (define @t1818 () (tptp.hAPP @t1816 @t149)) % 54.38/54.67 (define @t1819 () (=> @t431 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1818) @t1817)))) % 54.38/54.67 (define @t1820 () (tptp.hBOOL (tptp.hAPP @t423 @t346))) % 54.38/54.67 (define @t1821 () (tptp.hAPP @t185 @t1789)) % 54.38/54.67 (define @t1822 () (tptp.hBOOL (tptp.hAPP @t1821 @t36))) % 54.38/54.67 (define @t1823 () (tptp.class_Fields_Olinordered__field @t17)) % 54.38/54.67 (define @t1824 () (tptp.hBOOL (tptp.hAPP @t412 @t422))) % 54.38/54.67 (define @t1825 () (tptp.hBOOL (tptp.hAPP @t416 @t1789))) % 54.38/54.67 (define @t1826 () (tptp.hAPP @t1477 @t27)) % 54.38/54.67 (define @t1827 () (@list @t28 @t134 @t27 @t10)) % 54.38/54.67 (define @t1828 () (not @t415)) % 54.38/54.67 (define @t1829 () (not @t418)) % 54.38/54.67 (define @t1830 () (tptp.c_Nat__Transfer_Ois__nat @t125)) % 54.38/54.67 (define @t1831 () (tptp.hAPP @t1752 (tptp.hAPP @t820 @t1826))) % 54.38/54.67 (define @t1832 () (tptp.hAPP @t1831 @t27)) % 54.38/54.67 (define @t1833 () (not (= @t27 @t261))) % 54.38/54.67 (define @t1834 () (tptp.hAPP @t1477 @t28)) % 54.38/54.67 (define @t1835 () (tptp.hAPP @t1809 @t134)) % 54.38/54.67 (define @t1836 () (not (= @t134 @t261))) % 54.38/54.67 (define @t1837 () (@list @t27 @t28 @t134 @t10)) % 54.38/54.67 (define @t1838 () (tptp.hAPP @t733 @t1765)) % 54.38/54.67 (define @t1839 () (tptp.hAPP @t707 @t134)) % 54.38/54.67 (define @t1840 () (tptp.hAPP (tptp.hAPP @t313 @t596) @t27)) % 54.38/54.67 (define @t1841 () (tptp.hAPP (tptp.hAPP @t1752 @t596) @t134)) % 54.38/54.67 (define @t1842 () (@list @t596 @t28 @t134 @t27 @t10)) % 54.38/54.67 (define @t1843 () (= @t812 @t268)) % 54.38/54.67 (define @t1844 () (=> @t1843 @t348)) % 54.38/54.67 (define @t1845 () (tptp.hAPP @t350 @t812)) % 54.38/54.67 (define @t1846 () (not @t1843)) % 54.38/54.67 (define @t1847 () (tptp.hAPP @t1788 @t812)) % 54.38/54.67 (define @t1848 () (and @t1798 @t813)) % 54.38/54.67 (define @t1849 () (@list @t521 @t346 @t36 @t17)) % 54.38/54.67 (define @t1850 () (=> @t1791 @t1843)) % 54.38/54.67 (define @t1851 () (tptp.hAPP (tptp.hAPP @t349 @t812) @t55)) % 54.38/54.67 (define @t1852 () (@list @t55 @t346 @t521 @t17)) % 54.38/54.67 (define @t1853 () (@list @t521 @t55 @t346 @t17)) % 54.38/54.67 (define @t1854 () (@list @t36 @t521 @t346 @t17)) % 54.38/54.67 (define @t1855 () (tptp.hAPP @t1763 @t1147)) % 54.38/54.67 (define @t1856 () (and @t1766 @t793)) % 54.38/54.67 (define @t1857 () (and @t1803 @t793)) % 54.38/54.67 (define @t1858 () (=> @t431 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1818) @t1817)))) % 54.38/54.67 (define @t1859 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t422) @t346))) % 54.38/54.67 (define @t1860 () (tptp.hAPP @t49 @t1789)) % 54.38/54.67 (define @t1861 () (tptp.hBOOL (tptp.hAPP @t1860 @t36))) % 54.38/54.67 (define @t1862 () (tptp.hBOOL (tptp.hAPP @t379 @t422))) % 54.38/54.67 (define @t1863 () (tptp.hBOOL (tptp.hAPP @t381 @t1789))) % 54.38/54.67 (define @t1864 () (tptp.hBOOL (tptp.hAPP @t1117 @t268))) % 54.38/54.67 (define @t1865 () (not @t1864)) % 54.38/54.67 (define @t1866 () (tptp.hBOOL (tptp.hAPP @t412 @t1845))) % 54.38/54.67 (define @t1867 () (tptp.hBOOL (tptp.hAPP @t269 @t812))) % 54.38/54.67 (define @t1868 () (not @t1867)) % 54.38/54.67 (define @t1869 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t1845) @t346))) % 54.38/54.67 (define @t1870 () (and @t1755 @t813)) % 54.38/54.67 (define @t1871 () (tptp.hBOOL (tptp.hAPP @t412 @t1851))) % 54.38/54.67 (define @t1872 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t1851) @t346))) % 54.38/54.67 (define @t1873 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t1845) @t346))) % 54.38/54.67 (define @t1874 () (tptp.hBOOL (tptp.hAPP @t379 @t1845))) % 54.38/54.67 (define @t1875 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t1851) @t346))) % 54.38/54.67 (define @t1876 () (tptp.hBOOL (tptp.hAPP @t379 @t1851))) % 54.38/54.67 (define @t1877 () (tptp.hAPP @t49 @t812)) % 54.38/54.67 (define @t1878 () (tptp.hAPP @t1757 @t240)) % 54.38/54.67 (define @t1879 () (tptp.c_Code__Numeral_Onat__of__aux @t240 @t9)) % 54.38/54.67 (define @t1880 () (= @t240 @t1748)) % 54.38/54.67 (define @t1881 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.67 (define @t1882 () (@var "V_p_2" $$unsorted)) % 54.38/54.67 (define @t1883 () (tptp.hAPP tptp.c_Nat_OSuc @t1264)) % 54.38/54.67 (define @t1884 () (tptp.hBOOL (tptp.hAPP @t95 @t1264))) % 54.38/54.67 (define @t1885 () (@var "V_code__numeral" $$unsorted)) % 54.38/54.67 (define @t1886 () (tptp.c_Code__Numeral_OSuc__code__numeral @t1885)) % 54.38/54.67 (define @t1887 () (@list @t1885)) % 54.38/54.67 (define @t1888 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.67 (define @t1889 () (tptp.c_Random_Olog @t153 @t240)) % 54.38/54.67 (define @t1890 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.67 (define @t1891 () (tptp.hAPP @t1890 @t240)) % 54.38/54.67 (define @t1892 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.67 (define @t1893 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1892 @t153) @t1751)) (tptp.hBOOL (tptp.hAPP @t1891 @t153)))) % 54.38/54.67 (define @t1894 () (@var "B_e" $$unsorted)) % 54.38/54.67 (define @t1895 () (tptp.hAPP (tptp.hAPP @t1757 @t9) @t58)) % 54.38/54.67 (define @t1896 () (@var "V_code__numeral_H_2" $$unsorted)) % 54.38/54.67 (define @t1897 () (@var "V_code__numeral_2" $$unsorted)) % 54.38/54.67 (define @t1898 () (tptp.c_Code__Numeral_OSuc__code__numeral @t1897)) % 54.38/54.67 (define @t1899 () (@var "V_code__numeral_H" $$unsorted)) % 54.38/54.67 (define @t1900 () (@var "V_code__numeral_H_1" $$unsorted)) % 54.38/54.67 (define @t1901 () (tptp.hAPP @t40 @t1897)) % 54.38/54.67 (define @t1902 () (@list @t1897 @t40 @t42 @t17)) % 54.38/54.67 (define @t1903 () (tptp.c_Random_Ominus__shift @t1140 @t239 @t308)) % 54.38/54.67 (define @t1904 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1890 @t239) @t308))) % 54.38/54.67 (define @t1905 () (not @t1904)) % 54.38/54.67 (define @t1906 () (tptp.c_Random_Oinc__shift @t731 @t239)) % 54.38/54.67 (define @t1907 () (= @t731 @t239)) % 54.38/54.67 (define @t1908 () (tptp.hAPP @t1673 @t807)) % 54.38/54.67 (define @t1909 () (tptp.c_Divides_Oadjust @t807)) % 54.38/54.67 (define @t1910 () (tptp.c_Divides_OnegDivAlg @t661 @t807)) % 54.38/54.67 (define @t1911 () (tptp.hAPP @t746 @t807)) % 54.38/54.67 (define @t1912 () (tptp.hBOOL (tptp.hAPP @t528 @t1911))) % 54.38/54.67 (define @t1913 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.38/54.67 (define @t1914 () (tptp.hAPP @t1913 @t1399)) % 54.38/54.67 (define @t1915 () (tptp.hBOOL (tptp.hAPP @t513 @t807))) % 54.38/54.67 (define @t1916 () (@var "V_nat" $$unsorted)) % 54.38/54.67 (define @t1917 () (tptp.hAPP tptp.c_Nat_OSuc @t1916)) % 54.38/54.67 (define @t1918 () (@list @t1916)) % 54.38/54.67 (define @t1919 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t1920 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t1919) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t1919) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 54.38/54.67 (define @t1921 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t1922 () (tptp.hAPP @t1921 (tptp.hAPP @t1920 @t56))) % 54.38/54.67 (define @t1923 () (tptp.hAPP @t1922 tptp.c_Int_Onat)) % 54.38/54.67 (define @t1924 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t1925 () (tptp.hAPP (tptp.hAPP @t740 @t1349) @t1348)) % 54.38/54.67 (define @t1926 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1344) tptp.c_Int_OPls))) % 54.38/54.67 (define @t1927 () (tptp.hAPP @t185 @t5)) % 54.38/54.67 (define @t1928 () (tptp.c_member @t67)) % 54.38/54.67 (define @t1929 () (tptp.hAPP @t1928 @t3)) % 54.38/54.67 (define @t1930 () (tptp.hBOOL (tptp.hAPP @t1929 @t226))) % 54.38/54.67 (define @t1931 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t67 @t17)) % 54.38/54.67 (define @t1932 () (tptp.hAPP @t1931 @t226)) % 54.38/54.67 (define @t1933 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t17)) % 54.38/54.67 (define @t1934 () (and @t1933 @t190)) % 54.38/54.67 (define @t1935 () (tptp.hAPP @t226 @t3)) % 54.38/54.67 (define @t1936 () (@var "V_I_2" $$unsorted)) % 54.38/54.67 (define @t1937 () (tptp.hBOOL (tptp.hAPP @t1929 @t1936))) % 54.38/54.67 (define @t1938 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t67 @t231)) % 54.38/54.67 (define @t1939 () (tptp.hAPP @t1938 @t1936)) % 54.38/54.67 (define @t1940 () (tptp.hAPP @t1939 @t226)) % 54.38/54.67 (define @t1941 () (@list @t226 @t1936 @t67 @t230 @t17)) % 54.38/54.67 (define @t1942 () (@var "V_M_2" $$unsorted)) % 54.38/54.67 (define @t1943 () (tptp.hAPP @t1942 @t3)) % 54.38/54.67 (define @t1944 () (tptp.hAPP @t49 @t952)) % 54.38/54.67 (define @t1945 () (@var "T_d" $$unsorted)) % 54.38/54.67 (define @t1946 () (tptp.c_COMBC @t67 @t1945 @t17)) % 54.38/54.67 (define @t1947 () (tptp.hAPP @t1946 @t2)) % 54.38/54.67 (define @t1948 () (tptp.hAPP @t1947 @t125)) % 54.38/54.67 (define @t1949 () (tptp.tc_fun @t1945 @t17)) % 54.38/54.67 (define @t1950 () (@list @t125 @t2 @t226 @t1945 @t67 @t17)) % 54.38/54.67 (define @t1951 () (tptp.c_COMBB @t1244 @t17 @t1945)) % 54.38/54.67 (define @t1952 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1945 @t17) @t230)) % 54.38/54.67 (define @t1953 () (tptp.c_COMBB @t1949 @t17 @t67)) % 54.38/54.67 (define @t1954 () (@list @t2 @t230 @t1945 @t226 @t67 @t17)) % 54.38/54.67 (define @t1955 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t1956 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t1957 () (tptp.hAPP (tptp.hAPP @t1956 @t760) @t1955)) % 54.38/54.67 (define @t1958 () (tptp.hAPP @t1091 @t521)) % 54.38/54.67 (define @t1959 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t1958)) % 54.38/54.67 (define @t1960 () (tptp.hAPP @t1091 @t1706)) % 54.38/54.67 (define @t1961 () (tptp.c_COMBI @t17)) % 54.38/54.67 (define @t1962 () (tptp.c_COMBS @t17 @t17 @t17)) % 54.38/54.67 (define @t1963 () (tptp.hAPP (tptp.hAPP @t1962 @t349) @t1961)) % 54.38/54.67 (define @t1964 () (tptp.hAPP @t447 @t522)) % 54.38/54.67 (define @t1965 () (tptp.c_HOL_OLet @t17 @t17)) % 54.38/54.67 (define @t1966 () (tptp.hAPP @t1965 (tptp.hAPP @t1964 @t1958))) % 54.38/54.67 (define @t1967 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 54.38/54.67 (define @t1968 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.38/54.67 (define @t1969 () (tptp.hAPP @t532 @t522)) % 54.38/54.67 (define @t1970 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t1969 @t1958))) % 54.38/54.67 (define @t1971 () (tptp.hAPP @t447 @t1116)) % 54.38/54.67 (define @t1972 () (tptp.hAPP @t1965 (tptp.hAPP @t1971 @t1958))) % 54.38/54.67 (define @t1973 () (tptp.hAPP (tptp.hAPP @t740 @t674) @t678)) % 54.38/54.67 (define @t1974 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t677))) % 54.38/54.67 (define @t1975 () (tptp.hAPP (tptp.hAPP @t1913 @t1385) @t1461)) % 54.38/54.67 (define @t1976 () (tptp.c_COMBC @t17 @t17 @t17)) % 54.38/54.67 (define @t1977 () (tptp.hAPP @t1673 @t1499)) % 54.38/54.67 (define @t1978 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.38/54.67 (define @t1979 () (tptp.c_If @t1978)) % 54.38/54.67 (define @t1980 () (tptp.tc_fun @t1978 @t1978)) % 54.38/54.67 (define @t1981 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t1978 @t1980) tptp.tc_Int_Oint) @t1979)) % 54.38/54.67 (define @t1982 () (tptp.c_COMBS tptp.tc_Int_Oint @t1978 @t1980)) % 54.38/54.67 (define @t1983 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t1978)) % 54.38/54.67 (define @t1984 () (tptp.hAPP (tptp.hAPP @t1913 @t1499) @t1753)) % 54.38/54.67 (define @t1985 () (tptp.c_Divides_Oadjust @t346)) % 54.38/54.67 (define @t1986 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t1987 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1986 tptp.tc_Int_Oint)) % 54.38/54.67 (define @t1988 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t1989 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 54.38/54.67 (define @t1990 () (tptp.hAPP (tptp.hAPP @t1989 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 54.38/54.67 (define @t1991 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t1992 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1991 tptp.tc_Int_Oint)) % 54.38/54.67 (define @t1993 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t1994 () (tptp.hAPP @t1993 (tptp.hAPP (tptp.hAPP @t1992 tptp.c_fimplies) @t1990))) % 54.38/54.67 (define @t1995 () (tptp.hAPP @t1992 tptp.c_fconj)) % 54.38/54.67 (define @t1996 () (tptp.hAPP @t1993 (tptp.hAPP @t1995 @t1990))) % 54.38/54.67 (define @t1997 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t1669)) % 54.38/54.67 (define @t1998 () (tptp.hBOOL (tptp.hAPP @t1997 (tptp.hAPP @t1996 (tptp.hAPP @t1994 (tptp.hAPP (tptp.hAPP @t1988 (tptp.hAPP (tptp.hAPP @t1987 tptp.c_fequal) tptp.c_Int_Onat)) @t33)))))) % 54.38/54.67 (define @t1999 () (@list @t33 @t751)) % 54.38/54.67 (define @t2000 () (@list @t751 @t33)) % 54.38/54.67 (define @t2001 () (tptp.c_COMBB tptp.tc_Nat_Onat @t17 tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2002 () (tptp.hAPP @t2001 @t2)) % 54.38/54.67 (define @t2003 () (tptp.hAPP @t2002 tptp.c_Int_Onat)) % 54.38/54.67 (define @t2004 () (tptp.c_If @t17)) % 54.38/54.67 (define @t2005 () (tptp.tc_fun @t17 @t17)) % 54.38/54.67 (define @t2006 () (tptp.tc_fun @t17 @t2005)) % 54.38/54.67 (define @t2007 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2006 tptp.tc_Int_Oint) @t2004)) % 54.38/54.67 (define @t2008 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t17 @t2005) (tptp.hAPP @t2007 tptp.c_Nat__Numeral_Oneg))) % 54.38/54.67 (define @t2009 () (tptp.c_COMBS tptp.tc_Int_Oint @t17 @t17)) % 54.38/54.67 (define @t2010 () (tptp.hAPP @t2009 (tptp.hAPP @t2008 @t36))) % 54.38/54.67 (define @t2011 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t17)) % 54.38/54.67 (define @t2012 () (tptp.hAPP @t2011 @t1669)) % 54.38/54.67 (define @t2013 () (@list @t751 @t2 @t36 @t17)) % 54.38/54.67 (define @t2014 () (tptp.c_Nat_Onat_Onat__rec @t17 @t36 @t2)) % 54.38/54.67 (define @t2015 () (tptp.hAPP @t2001 @t2014)) % 54.38/54.67 (define @t2016 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2005 tptp.tc_Int_Oint) @t2)) % 54.38/54.67 (define @t2017 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2018 () (tptp.hAPP @t2017 tptp.c_Nat_OSuc)) % 54.38/54.67 (define @t2019 () (tptp.hAPP @t1091 @t1638)) % 54.38/54.67 (define @t2020 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2021 () (tptp.hAPP @t60 @t34)) % 54.38/54.67 (define @t2022 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1919 tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2023 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2024 () (tptp.hAPP (tptp.hAPP @t2023 (tptp.hAPP (tptp.hAPP @t2022 @t760) tptp.c_Int_Onat)) @t33)) % 54.38/54.67 (define @t2025 () (tptp.hAPP (tptp.hAPP @t760 @t1349) @t33)) % 54.38/54.67 (define @t2026 () (@list @t33 @t751 @t2 @t36 @t17)) % 54.38/54.67 (define @t2027 () (tptp.hAPP @t1964 @t2019)) % 54.38/54.67 (define @t2028 () (tptp.hBOOL (tptp.hAPP @t528 @t1644))) % 54.38/54.67 (define @t2029 () (not @t2028)) % 54.38/54.67 (define @t2030 () (tptp.hAPP @t349 @t522)) % 54.38/54.67 (define @t2031 () (tptp.c_COMBB @t17 @t2005 @t17)) % 54.38/54.67 (define @t2032 () (tptp.hAPP @t2031 @t349)) % 54.38/54.67 (define @t2033 () (tptp.hAPP @t1969 @t2019)) % 54.38/54.67 (define @t2034 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2035 () (tptp.c_COMBB tptp.tc_Int_Oint @t2034 tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2036 () (tptp.c_Divides_Oadjust @t153)) % 54.38/54.67 (define @t2037 () (tptp.c_Divides_OnegDivAlg @t149 @t153)) % 54.38/54.67 (define @t2038 () (= @t2037 (tptp.hAPP @t2036 (tptp.c_Divides_OnegDivAlg @t149 @t1684)))) % 54.38/54.67 (define @t2039 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t153) @t511))) % 54.38/54.67 (define @t2040 () (tptp.hBOOL (tptp.hAPP @t528 @t1401))) % 54.38/54.67 (define @t2041 () (or @t2040 @t2039)) % 54.38/54.67 (define @t2042 () (= @t2037 (tptp.hAPP @t1914 @t1401))) % 54.38/54.67 (define @t2043 () (tptp.hAPP @t1971 @t2019)) % 54.38/54.67 (define @t2044 () (tptp.hAPP @t1673 @t808)) % 54.38/54.67 (define @t2045 () (tptp.c_Divides_Oadjust @t808)) % 54.38/54.67 (define @t2046 () (tptp.c_Divides_OnegDivAlg @t807 @t808)) % 54.38/54.67 (define @t2047 () (tptp.hAPP (tptp.hAPP @t745 @t807) @t808)) % 54.38/54.67 (define @t2048 () (tptp.hBOOL (tptp.hAPP @t528 @t2047))) % 54.38/54.67 (define @t2049 () (tptp.hBOOL (tptp.hAPP @t513 @t808))) % 54.38/54.67 (define @t2050 () (tptp.c_Divides_OposDivAlg @t661 @t807)) % 54.38/54.67 (define @t2051 () (tptp.hBOOL (tptp.hAPP @t673 @t807))) % 54.38/54.67 (define @t2052 () (tptp.hAPP @t1913 @t511)) % 54.38/54.67 (define @t2053 () (tptp.hAPP @t2052 @t661)) % 54.38/54.67 (define @t2054 () (tptp.c_Divides_OposDivAlg @t149 @t153)) % 54.38/54.67 (define @t2055 () (= @t2054 (tptp.hAPP @t2036 (tptp.c_Divides_OposDivAlg @t149 @t1684)))) % 54.38/54.67 (define @t2056 () (or @t1328 @t2039)) % 54.38/54.67 (define @t2057 () (= @t2054 (tptp.hAPP @t2052 @t149))) % 54.38/54.67 (define @t2058 () (tptp.tc_fun tptp.tc_Int_Oint @t1978)) % 54.38/54.67 (define @t2059 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2058 tptp.tc_Int_Oint) @t1913)) % 54.38/54.67 (define @t2060 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2061 () (tptp.hAPP (tptp.hAPP @t2060 @t829) @t346)) % 54.38/54.67 (define @t2062 () (tptp.hAPP @t2035 @t745)) % 54.38/54.67 (define @t2063 () (tptp.hAPP (tptp.c_COMBB @t2058 (tptp.tc_fun @t2034 @t2058) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t1978 tptp.tc_Int_Oint))) % 54.38/54.67 (define @t2064 () (tptp.c_COMBC tptp.tc_Int_Oint @t2034 @t2058)) % 54.38/54.67 (define @t2065 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2066 () (tptp.tc_fun tptp.tc_Int_Oint @t1980)) % 54.38/54.67 (define @t2067 () (tptp.hAPP (tptp.c_COMBB @t2066 (tptp.tc_fun @t2058 @t2058) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t1978 @t1978))) % 54.38/54.67 (define @t2068 () (tptp.c_COMBS tptp.tc_Int_Oint @t2058 @t2058)) % 54.38/54.67 (define @t2069 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t1978)) % 54.38/54.67 (define @t2070 () (tptp.c_Divides_OposDivAlg @t807 @t808)) % 54.38/54.67 (define @t2071 () (tptp.hAPP @t512 @t807)) % 54.38/54.67 (define @t2072 () (tptp.hBOOL (tptp.hAPP @t2071 @t808))) % 54.38/54.67 (define @t2073 () (tptp.hAPP @t1673 @t346)) % 54.38/54.67 (define @t2074 () (tptp.c_Divides_OnegDivAlg @t36 @t346)) % 54.38/54.67 (define @t2075 () (tptp.hBOOL (tptp.hAPP @t1319 @t511))) % 54.38/54.67 (define @t2076 () (tptp.hAPP @t745 @t36)) % 54.38/54.67 (define @t2077 () (tptp.hAPP @t2076 @t346)) % 54.38/54.67 (define @t2078 () (or (tptp.hBOOL (tptp.hAPP @t528 @t2077)) @t2075)) % 54.38/54.67 (define @t2079 () (tptp.hAPP (tptp.hAPP @t1913 @t36) @t346)) % 54.38/54.67 (define @t2080 () (tptp.c_Wellfounded_Oaccp @t1978 tptp.c_Divides_OnegDivAlg__rel)) % 54.38/54.67 (define @t2081 () (tptp.c_Wellfounded_Oaccp @t17 @t1753)) % 54.38/54.67 (define @t2082 () (tptp.hAPP @t1753 @t3)) % 54.38/54.67 (define @t2083 () (tptp.hBOOL (tptp.hAPP @t2081 @t36))) % 54.38/54.67 (define @t2084 () (@list @t36 @t1753 @t17)) % 54.38/54.67 (define @t2085 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1753 @t36) @t346))) % 54.38/54.67 (define @t2086 () (@var "V_R1_2" $$unsorted)) % 54.38/54.67 (define @t2087 () (@var "V_R2_2" $$unsorted)) % 54.38/54.67 (define @t2088 () (tptp.tc_fun @t17 @t231)) % 54.38/54.67 (define @t2089 () (tptp.c_Orderings_Oord__class_Oless__eq @t2088)) % 54.38/54.67 (define @t2090 () (@list @t2087 @t2086 @t17)) % 54.38/54.67 (define @t2091 () (tptp.hAPP @t2052 @t511)) % 54.38/54.67 (define @t2092 () (tptp.c_Divides_OposDivAlg @t36 @t346)) % 54.38/54.67 (define @t2093 () (or (tptp.hBOOL (tptp.hAPP @t1289 @t346)) @t2075)) % 54.38/54.67 (define @t2094 () (tptp.c_Wellfounded_Oaccp @t1978 tptp.c_Divides_OposDivAlg__rel)) % 54.38/54.67 (define @t2095 () (tptp.hAPP (tptp.hAPP @t1962 @t836) @t1961)) % 54.38/54.67 (define @t2096 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t2097 () (tptp.hAPP (tptp.hAPP @t2096 tptp.c_fequal) @t511)) % 54.38/54.67 (define @t2098 () (tptp.tc_fun @t2005 @t17)) % 54.38/54.67 (define @t2099 () (tptp.tc_fun tptp.tc_Int_Oint @t17)) % 54.38/54.67 (define @t2100 () (tptp.tc_fun tptp.tc_Int_Oint @t2005)) % 54.38/54.67 (define @t2101 () (tptp.hAPP @t591 @t359)) % 54.38/54.67 (define @t2102 () (not @t1313)) % 54.38/54.67 (define @t2103 () (tptp.class_Rings_Oring__1 @t17)) % 54.38/54.67 (define @t2104 () (@list @t359 @t17)) % 54.38/54.67 (define @t2105 () (@var "V_a1_2" $$unsorted)) % 54.38/54.67 (define @t2106 () (@var "V_a0_2" $$unsorted)) % 54.38/54.67 (define @t2107 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 @t2106) @t2105))) % 54.38/54.67 (define @t2108 () (@var "B_b" $$unsorted)) % 54.38/54.67 (define @t2109 () (@var "B_a" $$unsorted)) % 54.38/54.67 (define @t2110 () (tptp.hAPP @t111 @t2109)) % 54.38/54.67 (define @t2111 () (tptp.hBOOL (tptp.hAPP @t2110 @t2108))) % 54.38/54.67 (define @t2112 () (tptp.hBOOL (tptp.hAPP @t2110 (tptp.hAPP @t1673 @t2108)))) % 54.38/54.67 (define @t2113 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t2108) @t511))) % 54.38/54.67 (define @t2114 () (tptp.hAPP (tptp.hAPP @t1913 @t2109) @t2108)) % 54.38/54.67 (define @t2115 () (@list @t2109 @t2108)) % 54.38/54.67 (define @t2116 () (tptp.hAPP (tptp.hAPP @t1913 @t2106) @t2105)) % 54.38/54.67 (define @t2117 () (@list @t111 @t2105 @t2106)) % 54.38/54.67 (define @t2118 () (tptp.hAPP @t1514 @t308)) % 54.38/54.67 (define @t2119 () (tptp.hAPP @t1514 @t239)) % 54.38/54.67 (define @t2120 () (tptp.c_Divides_Opdivmod @t239 @t308)) % 54.38/54.67 (define @t2121 () (= @t308 @t511)) % 54.38/54.67 (define @t2122 () (tptp.hAPP @t1913 @t490)) % 54.38/54.67 (define @t2123 () (tptp.hAPP @t2122 @t1140)) % 54.38/54.67 (define @t2124 () (tptp.c_Divides_Odivmod__int__rel @t149 @t153)) % 54.38/54.67 (define @t2125 () (tptp.hBOOL (tptp.hAPP @t2124 @t2123))) % 54.38/54.67 (define @t2126 () (@list @t150 @t1140 @t490 @t153 @t149)) % 54.38/54.67 (define @t2127 () (tptp.c_Divides_Odivmod__int @t149 @t153)) % 54.38/54.67 (define @t2128 () (tptp.hAPP @t1993 (tptp.hAPP @t1995 @t528))) % 54.38/54.67 (define @t2129 () (tptp.hAPP tptp.c_fequal @t36)) % 54.38/54.67 (define @t2130 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t2131 () (tptp.tc_fun tptp.tc_Int_Oint @t1991)) % 54.38/54.67 (define @t2132 () (tptp.tc_fun @t2130 @t2130)) % 54.38/54.67 (define @t2133 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t2134 () (tptp.c_Divides_Odivmod__int__rel @t36 @t346)) % 54.38/54.67 (define @t2135 () (tptp.hBOOL (tptp.hAPP @t2124 (tptp.hAPP (tptp.hAPP @t1913 @t1187) @t1190)))) % 54.38/54.67 (define @t2136 () (@list @t1190 @t1187 @t1140 @t490 @t153 @t149)) % 54.38/54.67 (define @t2137 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t149 @t149) @t2123))) % 54.38/54.67 (define @t2138 () (@list @t1140 @t490 @t149)) % 54.38/54.67 (define @t2139 () (@list @t1140 @t490 @t153 @t149)) % 54.38/54.67 (define @t2140 () (@var "V_br" $$unsorted)) % 54.38/54.67 (define @t2141 () (@var "V_ar" $$unsorted)) % 54.38/54.67 (define @t2142 () (tptp.hAPP (tptp.hAPP @t745 @t2141) @t2140)) % 54.38/54.67 (define @t2143 () (@var "V_bq" $$unsorted)) % 54.38/54.67 (define @t2144 () (@var "V_aq" $$unsorted)) % 54.38/54.67 (define @t2145 () (not (= @t150 @t511))) % 54.38/54.67 (define @t2146 () (tptp.c_Divides_Odivmod__int__rel @t153 @t150)) % 54.38/54.67 (define @t2147 () (@list @t2140 @t2143 @t153 @t2141 @t2144 @t150 @t149)) % 54.38/54.67 (define @t2148 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t1753) @t511))) % 54.38/54.67 (define @t2149 () (tptp.hAPP @t729 @t1499)) % 54.38/54.67 (define @t2150 () (tptp.hAPP @t729 @t36)) % 54.38/54.67 (define @t2151 () (not @t1298)) % 54.38/54.67 (define @t2152 () (tptp.hAPP @t1181 @t1140)) % 54.38/54.67 (define @t2153 () (@list @t149 @t1140 @t490 @t150 @t153)) % 54.38/54.67 (define @t2154 () (tptp.c_Divides_Opdivmod @t359 @t1045)) % 54.38/54.67 (define @t2155 () (tptp.hAPP (tptp.hAPP @t2069 (tptp.hAPP (tptp.hAPP @t2068 (tptp.hAPP @t2067 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1978 @t2066 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t1978 @t1980) (tptp.hAPP @t1981 @t2097))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t1978) (tptp.hAPP @t2059 @t729)) @t511)))) (tptp.hAPP (tptp.hAPP @t2064 (tptp.hAPP @t2063 (tptp.hAPP @t2059 (tptp.hAPP (tptp.hAPP @t2060 (tptp.hAPP (tptp.hAPP @t2035 @t829) @t729)) @t661)))) (tptp.hAPP @t829 (tptp.hAPP @t1514 @t1045))))) @t2154)) % 54.38/54.67 (define @t2156 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1045)) % 54.38/54.67 (define @t2157 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t514 @t2156))) % 54.38/54.67 (define @t2158 () (tptp.c_Divides_Odivmod__int @t359 @t1045)) % 54.38/54.67 (define @t2159 () (= @t1045 @t511)) % 54.38/54.67 (define @t2160 () (not @t2159)) % 54.38/54.67 (define @t2161 () (=> @t2159 (= @t2158 (tptp.hAPP @t2052 @t359)))) % 54.38/54.67 (define @t2162 () (=> @t1313 (= @t2158 @t2091))) % 54.38/54.67 (define @t2163 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t1275 @t1278))) % 54.38/54.67 (define @t2164 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t1275 @t1278))) % 54.38/54.67 (define @t2165 () (tptp.hBOOL (tptp.hAPP @t528 @t153))) % 54.38/54.67 (define @t2166 () (tptp.c_Product__Type_Oprod_Oprod__case @t67 @t1945 @t17)) % 54.38/54.67 (define @t2167 () (tptp.hAPP @t2166 @t2)) % 54.38/54.67 (define @t2168 () (@var "T_f" $$unsorted)) % 54.38/54.67 (define @t2169 () (tptp.tc_prod @t67 @t1945)) % 54.38/54.67 (define @t2170 () (@var "T_e" $$unsorted)) % 54.38/54.67 (define @t2171 () (tptp.c_Product__Type_OPair @t17 @t67)) % 54.38/54.67 (define @t2172 () (tptp.tc_prod @t17 @t67)) % 54.38/54.67 (define @t2173 () (tptp.tc_fun @t67 @t1945)) % 54.38/54.67 (define @t2174 () (tptp.tc_fun @t67 @t2172)) % 54.38/54.67 (define @t2175 () (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t67 @t1945)) % 54.38/54.67 (define @t2176 () (@list @t2 @t1945 @t67 @t17)) % 54.38/54.67 (define @t2177 () (tptp.hAPP @t2171 @t36)) % 54.38/54.67 (define @t2178 () (tptp.hAPP @t2177 @t346)) % 54.38/54.67 (define @t2179 () (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t67 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t2180 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2179 @t2) @t2178))) % 54.38/54.67 (define @t2181 () (tptp.hAPP @t2 @t36)) % 54.38/54.67 (define @t2182 () (tptp.hAPP @t2181 @t346)) % 54.38/54.67 (define @t2183 () (tptp.hBOOL @t2182)) % 54.38/54.67 (define @t2184 () (tptp.hAPP (tptp.hAPP @t42 @t36) @t346)) % 54.38/54.67 (define @t2185 () (@list @t346 @t36 @t2 @t67 @t17)) % 54.38/54.67 (define @t2186 () (@var "V_R_2" $$unsorted)) % 54.38/54.67 (define @t2187 () (tptp.tc_fun @t1945 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t2188 () (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t67 @t2187)) % 54.38/54.67 (define @t2189 () (tptp.hAPP @t2171 @t125)) % 54.38/54.67 (define @t2190 () (tptp.c_Product__Type_OPair @t17 @t1945)) % 54.38/54.67 (define @t2191 () (tptp.hAPP (tptp.hAPP @t2190 @t125) @t176)) % 54.38/54.67 (define @t2192 () (tptp.c_Product__Type_Oapsnd @t1945 @t67 @t17 @t2)) % 54.38/54.67 (define @t2193 () (tptp.c_Product__Type_OPair @t10 @t17)) % 54.38/54.67 (define @t2194 () (tptp.hAPP (tptp.hAPP @t2193 @t149) @t153)) % 54.38/54.67 (define @t2195 () (@var "V_b_H_2" $$unsorted)) % 54.38/54.67 (define @t2196 () (@var "V_a_H_2" $$unsorted)) % 54.38/54.67 (define @t2197 () (= @t36 @t2196)) % 54.38/54.67 (define @t2198 () (and @t2197 (= @t346 @t2195))) % 54.38/54.67 (define @t2199 () (tptp.hAPP (tptp.hAPP @t2171 @t2196) @t2195)) % 54.38/54.67 (define @t2200 () (@list @t2195 @t2196 @t346 @t36 @t67 @t17)) % 54.38/54.67 (define @t2201 () (tptp.hAPP (tptp.hAPP @t2171 @t2109) @t2108)) % 54.38/54.67 (define @t2202 () (tptp.hAPP @t2175 @t55)) % 54.38/54.67 (define @t2203 () (@var "V_qr" $$unsorted)) % 54.38/54.67 (define @t2204 () (tptp.c_Product__Type_OPair @t67 @t1945)) % 54.38/54.67 (define @t2205 () (tptp.hAPP (tptp.hAPP @t2204 @t36) @t346)) % 54.38/54.67 (define @t2206 () (@list @t346 @t36 @t2 @t17 @t1945 @t67)) % 54.38/54.67 (define @t2207 () (@list @t346 @t36 @t42 @t17 @t1945 @t67)) % 54.38/54.67 (define @t2208 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t9 @t58)) % 54.38/54.67 (define @t2209 () (tptp.hAPP (tptp.hAPP @t1745 @t9) @t58)) % 54.38/54.67 (define @t2210 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2211 () (tptp.c_Divides_Odivmod__nat @t58 @t9)) % 54.38/54.67 (define @t2212 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t1032 @t833))) % 54.38/54.67 (define @t2213 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2214 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t661 @t807)) % 54.38/54.67 (define @t2215 () (tptp.hBOOL (tptp.hAPP @t2071 @t511))) % 54.38/54.67 (define @t2216 () (tptp.hAPP (tptp.hAPP @t2210 @t490) @t1140)) % 54.38/54.67 (define @t2217 () (tptp.hAPP @t1578 @t1140)) % 54.38/54.67 (define @t2218 () (tptp.c_Divides_Odivmod__nat__rel @t153 @t150)) % 54.38/54.67 (define @t2219 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2220 () (tptp.hAPP @t1388 @t807)) % 54.38/54.67 (define @t2221 () (tptp.c_Product__Type_Osnd @t67 @t1945)) % 54.38/54.67 (define @t2222 () (tptp.hAPP @t2221 @t1882)) % 54.38/54.67 (define @t2223 () (tptp.c_Product__Type_Ofst @t67 @t1945)) % 54.38/54.67 (define @t2224 () (tptp.hAPP @t2223 @t1882)) % 54.38/54.67 (define @t2225 () (tptp.c_Product__Type_Osnd @t17 @t67)) % 54.38/54.67 (define @t2226 () (tptp.c_Product__Type_Ofst @t17 @t67)) % 54.38/54.67 (define @t2227 () (tptp.c_Product__Type_Osnd @t10 @t17)) % 54.38/54.67 (define @t2228 () (tptp.c_Product__Type_Ofst @t10 @t17)) % 54.38/54.67 (define @t2229 () (tptp.hAPP @t2227 @t503)) % 54.38/54.67 (define @t2230 () (tptp.hAPP @t2228 @t503)) % 54.38/54.67 (define @t2231 () (@var "V_t_2" $$unsorted)) % 54.38/54.67 (define @t2232 () (@var "V_s_2" $$unsorted)) % 54.38/54.67 (define @t2233 () (@var "V_qr_H" $$unsorted)) % 54.38/54.67 (define @t2234 () (tptp.c_Divides_Odivmod__nat__rel @t58 @t9)) % 54.38/54.67 (define @t2235 () (tptp.hBOOL (tptp.hAPP @t2234 @t2203))) % 54.38/54.67 (define @t2236 () (tptp.hAPP (tptp.hAPP @t2193 @t28) @t27)) % 54.38/54.67 (define @t2237 () (@list @t153 @t149 @t17 @t10)) % 54.38/54.67 (define @t2238 () (tptp.c_Product__Type_OPair @t17 @t10)) % 54.38/54.67 (define @t2239 () (tptp.c_Product__Type_Osnd @t17 @t10)) % 54.38/54.67 (define @t2240 () (tptp.hAPP @t2192 @t125)) % 54.38/54.67 (define @t2241 () (@list @t125 @t2 @t1945 @t67 @t17)) % 54.38/54.67 (define @t2242 () (tptp.hAPP @t2221 @t125)) % 54.38/54.67 (define @t2243 () (tptp.c_Product__Type_Osnd @t67 @t17)) % 54.38/54.67 (define @t2244 () (@list @t125 @t2 @t1945 @t17 @t67)) % 54.38/54.67 (define @t2245 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t17 @t1945) @t125)) % 54.38/54.67 (define @t2246 () (tptp.c_COMBK @t17 @t67)) % 54.38/54.67 (define @t2247 () (tptp.hAPP @t2226 @t1882)) % 54.38/54.67 (define @t2248 () (tptp.hAPP @t2243 @t1882)) % 54.38/54.67 (define @t2249 () (tptp.hBOOL (tptp.hAPP @t2234 @t2216))) % 54.38/54.67 (define @t2250 () (@list @t1140 @t490 @t9 @t58)) % 54.38/54.67 (define @t2251 () (tptp.hAPP @t2210 @t56)) % 54.38/54.67 (define @t2252 () (tptp.hAPP @t2251 @t58)) % 54.38/54.67 (define @t2253 () (tptp.hAPP (tptp.hAPP @t2210 @t1428) @t1540)) % 54.38/54.67 (define @t2254 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2255 () (tptp.tc_fun tptp.tc_Nat_Onat @t2254)) % 54.38/54.67 (define @t2256 () (tptp.c_Divides_Odivmod__nat @t86 @t33)) % 54.38/54.67 (define @t2257 () (or @t83 @t90)) % 54.38/54.67 (define @t2258 () (tptp.hAPP (tptp.hAPP @t760 @t2141) @t2140)) % 54.38/54.67 (define @t2259 () (tptp.hAPP (tptp.hAPP @t2171 @t1882) @t1499)) % 54.38/54.67 (define @t2260 () (@var "V_Q_2" $$unsorted)) % 54.38/54.67 (define @t2261 () (tptp.c_Product__Type_OPair @t67 @t17)) % 54.38/54.67 (define @t2262 () (tptp.hAPP @t2261 @t125)) % 54.38/54.67 (define @t2263 () (tptp.hAPP @t2262 @t176)) % 54.38/54.67 (define @t2264 () (tptp.c_Product__Type_Ofst @t67 @t17)) % 54.38/54.67 (define @t2265 () (tptp.hAPP @t111 @t176)) % 54.38/54.67 (define @t2266 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2267 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2268 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2269 () (tptp.hAPP @t2268 tptp.c_Nat_OSuc)) % 54.38/54.67 (define @t2270 () (tptp.hAPP @t1924 @t1669)) % 54.38/54.67 (define @t2271 () (tptp.hAPP @t2267 @t33)) % 54.38/54.67 (define @t2272 () (tptp.hAPP @t2267 @t34)) % 54.38/54.67 (define @t2273 () (tptp.c_Orderings_Oord__class_Omin @t10)) % 54.38/54.67 (define @t2274 () (tptp.hAPP @t2273 @t149)) % 54.38/54.67 (define @t2275 () (tptp.hAPP @t2273 @t153)) % 54.38/54.67 (define @t2276 () (tptp.hAPP @t2274 @t153)) % 54.38/54.67 (define @t2277 () (tptp.hAPP @t2273 @t27)) % 54.38/54.67 (define @t2278 () (tptp.hAPP @t2277 @t28)) % 54.38/54.67 (define @t2279 () (tptp.hAPP @t2273 @t28)) % 54.38/54.67 (define @t2280 () (tptp.hAPP @t2279 @t27)) % 54.38/54.67 (define @t2281 () (tptp.hAPP @t2274 (tptp.hAPP @t2275 @t150))) % 54.38/54.67 (define @t2282 () (tptp.hAPP @t2279 @t134)) % 54.38/54.67 (define @t2283 () (tptp.hAPP @t2277 @t134)) % 54.38/54.67 (define @t2284 () (tptp.hAPP @t2279 @t2283)) % 54.38/54.67 (define @t2285 () (tptp.hAPP @t75 @t2280)) % 54.38/54.67 (define @t2286 () (tptp.c_Orderings_Oord__class_Omin @t17)) % 54.38/54.67 (define @t2287 () (tptp.hAPP @t2286 @t125)) % 54.38/54.67 (define @t2288 () (tptp.hAPP @t2287 @t176)) % 54.38/54.67 (define @t2289 () (tptp.hBOOL (tptp.hAPP @t178 @t522))) % 54.38/54.67 (define @t2290 () (and @t179 @t2289)) % 54.38/54.67 (define @t2291 () (@list @t522 @t176 @t125 @t17)) % 54.38/54.67 (define @t2292 () (tptp.hAPP @t75 @t2276)) % 54.38/54.67 (define @t2293 () (tptp.hBOOL (tptp.hAPP @t2292 @t28))) % 54.38/54.67 (define @t2294 () (tptp.hBOOL (tptp.hAPP @t158 @t28))) % 54.38/54.67 (define @t2295 () (@list @t153 @t28 @t149 @t10)) % 54.38/54.67 (define @t2296 () (tptp.hBOOL (tptp.hAPP @t155 @t28))) % 54.38/54.67 (define @t2297 () (@list @t149 @t28 @t153 @t10)) % 54.38/54.67 (define @t2298 () (tptp.hBOOL (tptp.hAPP @t76 @t2276))) % 54.38/54.67 (define @t2299 () (tptp.hBOOL (tptp.hAPP @t76 @t153))) % 54.38/54.67 (define @t2300 () (@list @t153 @t149 @t28 @t10)) % 54.38/54.67 (define @t2301 () (tptp.hBOOL (tptp.hAPP @t155 @t407))) % 54.38/54.67 (define @t2302 () (not (=> @t1178 (not @t2299)))) % 54.38/54.67 (define @t2303 () (tptp.hBOOL (tptp.hAPP @t181 @t522))) % 54.38/54.67 (define @t2304 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t2276) @t28))) % 54.38/54.67 (define @t2305 () (tptp.hBOOL (tptp.hAPP @t165 @t28))) % 54.38/54.67 (define @t2306 () (tptp.hBOOL (tptp.hAPP @t167 @t28))) % 54.38/54.67 (define @t2307 () (tptp.hBOOL (tptp.hAPP @t193 @t522))) % 54.38/54.67 (define @t2308 () (tptp.hBOOL (tptp.hAPP @t186 @t522))) % 54.38/54.67 (define @t2309 () (tptp.hAPP @t185 @t522)) % 54.38/54.67 (define @t2310 () (tptp.hBOOL (tptp.hAPP @t2309 @t176))) % 54.38/54.67 (define @t2311 () (tptp.hBOOL (tptp.hAPP @t2309 @t125))) % 54.38/54.67 (define @t2312 () (@list @t176 @t125 @t522 @t17)) % 54.38/54.67 (define @t2313 () (tptp.hAPP @t820 @t134)) % 54.38/54.67 (define @t2314 () (tptp.hAPP (tptp.hAPP @t789 @t27) @t134)) % 54.38/54.67 (define @t2315 () (tptp.hAPP @t821 @t134)) % 54.38/54.67 (define @t2316 () (tptp.hAPP @t2267 @t9)) % 54.38/54.67 (define @t2317 () (tptp.hAPP (tptp.hAPP @t2267 @t58) @t9)) % 54.38/54.67 (define @t2318 () (tptp.class_Orderings_Olinorder @t67)) % 54.38/54.67 (define @t2319 () (and @t2318 @t190)) % 54.38/54.67 (define @t2320 () (@list @t33 @t86 @t2 @t17 @t67)) % 54.38/54.67 (define @t2321 () (tptp.hAPP @t798 @t732)) % 54.38/54.67 (define @t2322 () (tptp.hAPP (tptp.hAPP @t2286 @t2321) @t900)) % 54.38/54.67 (define @t2323 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t2321) @t900))) % 54.38/54.67 (define @t2324 () (not @t2323)) % 54.38/54.67 (define @t2325 () (tptp.class_Orderings_Oord @t17)) % 54.38/54.67 (define @t2326 () (and @t813 @t2325)) % 54.38/54.67 (define @t2327 () (@list @t731 @t732 @t17)) % 54.38/54.67 (define @t2328 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2329 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2330 () (@var "V_qr_2" $$unsorted)) % 54.38/54.67 (define @t2331 () (tptp.hAPP @t2329 @t2330)) % 54.38/54.67 (define @t2332 () (tptp.hAPP @t2328 @t2330)) % 54.38/54.67 (define @t2333 () (tptp.c_Divides_Odivmod__nat__rel @t86 @t33)) % 54.38/54.67 (define @t2334 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2335 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.67 (define @t2336 () (tptp.hAPP @t1890 @t1748)) % 54.38/54.67 (define @t2337 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2338 () (tptp.hAPP @t2337 @t33)) % 54.38/54.67 (define @t2339 () (tptp.hAPP @t1921 (tptp.hAPP @t1920 @t34))) % 54.38/54.67 (define @t2340 () (tptp.hAPP @t2337 @t34)) % 54.38/54.67 (define @t2341 () (tptp.c_Product__Type_Osnd @t2170 @t1945)) % 54.38/54.67 (define @t2342 () (tptp.c_Product__Type_Oapfst @t2170 @t17 @t1945 @t1)) % 54.38/54.67 (define @t2343 () (@list @t125 @t1 @t2170 @t2 @t17 @t67 @t1945)) % 54.38/54.67 (define @t2344 () (tptp.c_Orderings_Oord__class_Omax @t10)) % 54.38/54.67 (define @t2345 () (tptp.hAPP @t2344 @t27)) % 54.38/54.67 (define @t2346 () (tptp.hAPP @t2345 @t134)) % 54.38/54.67 (define @t2347 () (tptp.hAPP @t2344 @t28)) % 54.38/54.67 (define @t2348 () (tptp.hAPP @t2347 @t2346)) % 54.38/54.67 (define @t2349 () (tptp.hAPP @t2347 @t27)) % 54.38/54.67 (define @t2350 () (tptp.hAPP @t2344 @t153)) % 54.38/54.67 (define @t2351 () (tptp.hAPP @t2344 @t149)) % 54.38/54.67 (define @t2352 () (tptp.hAPP @t2351 (tptp.hAPP @t2350 @t150))) % 54.38/54.67 (define @t2353 () (tptp.hAPP @t2351 @t153)) % 54.38/54.67 (define @t2354 () (tptp.hAPP @t2347 @t134)) % 54.38/54.67 (define @t2355 () (tptp.hAPP @t2345 @t28)) % 54.38/54.67 (define @t2356 () (tptp.hAPP @t49 @t522)) % 54.38/54.67 (define @t2357 () (tptp.c_Orderings_Oord__class_Omax @t17)) % 54.38/54.67 (define @t2358 () (tptp.hAPP @t2357 @t125)) % 54.38/54.67 (define @t2359 () (tptp.hAPP @t2358 @t176)) % 54.38/54.67 (define @t2360 () (not (=> @t2294 (not @t2296)))) % 54.38/54.67 (define @t2361 () (tptp.hAPP @t75 @t2353)) % 54.38/54.67 (define @t2362 () (tptp.hBOOL (tptp.hAPP @t2361 @t28))) % 54.38/54.67 (define @t2363 () (@list @t28 @t153 @t149 @t10)) % 54.38/54.67 (define @t2364 () (tptp.hBOOL (tptp.hAPP @t76 @t2353))) % 54.38/54.67 (define @t2365 () (@list @t149 @t153 @t28 @t10)) % 54.38/54.67 (define @t2366 () (and @t2289 @t2303)) % 54.38/54.67 (define @t2367 () (tptp.hBOOL (tptp.hAPP @t117 @t2353))) % 54.38/54.67 (define @t2368 () (tptp.hBOOL (tptp.hAPP @t117 @t153))) % 54.38/54.67 (define @t2369 () (tptp.hAPP @t2337 @t9)) % 54.38/54.67 (define @t2370 () (tptp.hAPP (tptp.hAPP @t2344 @t2280) @t2282)) % 54.38/54.67 (define @t2371 () (tptp.hAPP @t2279 @t2346)) % 54.38/54.67 (define @t2372 () (tptp.hAPP (tptp.hAPP @t2273 @t2349) @t2354)) % 54.38/54.67 (define @t2373 () (tptp.hAPP @t2347 @t2283)) % 54.38/54.67 (define @t2374 () (tptp.c_Product__Type_OPair @t1945 @t67)) % 54.38/54.67 (define @t2375 () (tptp.c_Product__Type_Oapfst @t1945 @t17 @t67 @t2)) % 54.38/54.67 (define @t2376 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t1945 @t67) @t125)) % 54.38/54.67 (define @t2377 () (tptp.hAPP @t2 @t2376)) % 54.38/54.67 (define @t2378 () (tptp.hAPP @t2375 @t125)) % 54.38/54.67 (define @t2379 () (tptp.hAPP (tptp.hAPP @t2357 @t2321) @t900)) % 54.38/54.67 (define @t2380 () (tptp.class_Groups_Olinordered__ab__group__add @t10)) % 54.38/54.67 (define @t2381 () (tptp.c_Product__Type_Osnd @t1945 @t2170)) % 54.38/54.67 (define @t2382 () (tptp.hAPP @t1 (tptp.hAPP @t2381 @t125))) % 54.38/54.67 (define @t2383 () (tptp.c_Product__Type_Ofst @t1945 @t2170)) % 54.38/54.67 (define @t2384 () (tptp.hAPP @t2 (tptp.hAPP @t2383 @t125))) % 54.38/54.67 (define @t2385 () (@list @t125 @t1 @t2170 @t2 @t67 @t17 @t1945)) % 54.38/54.67 (define @t2386 () (tptp.c_COMBC @t17 @t17 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t2387 () (tptp.hAPP @t2386 @t49)) % 54.38/54.67 (define @t2388 () (tptp.tc_fun tptp.tc_Int_Oint @t2130)) % 54.38/54.67 (define @t2389 () (tptp.c_COMBB @t2130 @t2130 tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2390 () (tptp.c_Nitpick_Onorm__frac @t36 @t346)) % 54.38/54.67 (define @t2391 () (or (= @t36 @t511) (= @t346 @t511))) % 54.38/54.67 (define @t2392 () (and (=> @t1297 (= @t2390 (tptp.c_Nitpick_Onorm__frac @t2150 (tptp.hAPP @t729 @t346)))) (=> (not @t1297) (and (=> @t2391 (= @t2390 @t2053)) (=> (not @t2391) (= @t2390 (tptp.hAPP (tptp.hAPP @t1983 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t36) @t346)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t1978) (tptp.hAPP @t2059 @t1290)) (tptp.hAPP @t1261 @t346))))))))) % 54.38/54.67 (define @t2393 () (tptp.c_Wellfounded_Oaccp @t1978 tptp.c_Nitpick_Onorm__frac__rel)) % 54.38/54.67 (define @t2394 () (tptp.hAPP (tptp.hAPP @t1757 @t359) @t1751)) % 54.38/54.67 (define @t2395 () (tptp.tc_prod @t67 @t17)) % 54.38/54.67 (define @t2396 () (tptp.hAPP (tptp.c_Random_Oiterate @t67 @t17 @t359 @t2) @t125)) % 54.38/54.67 (define @t2397 () (= @t359 @t1748)) % 54.38/54.67 (define @t2398 () (not @t2397)) % 54.38/54.67 (define @t2399 () (@list @t125 @t2 @t17 @t67 @t359)) % 54.38/54.67 (define @t2400 () (@var "T_g" $$unsorted)) % 54.38/54.67 (define @t2401 () (tptp.tc_fun @t2400 @t67)) % 54.38/54.67 (define @t2402 () (tptp.tc_fun @t2170 @t67)) % 54.38/54.67 (define @t2403 () (tptp.tc_fun @t1945 @t2402)) % 54.38/54.67 (define @t2404 () (tptp.tc_prod @t1945 @t2170)) % 54.38/54.67 (define @t2405 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t67 @t1945 @t2170 @t17) @t2) @t1) @t125)) % 54.38/54.67 (define @t2406 () (@list @t125 @t1 @t2 @t17 @t2170 @t1945 @t67)) % 54.38/54.67 (define @t2407 () (tptp.hAPP @t1514 @t27)) % 54.38/54.67 (define @t2408 () (tptp.hAPP tptp.c_Int_Onat @t2407)) % 54.38/54.67 (define @t2409 () (tptp.hAPP tptp.c_Int_Onat @t1580)) % 54.38/54.67 (define @t2410 () (tptp.c_Nitpick_Onat__gcd @t28 @t27)) % 54.38/54.67 (define @t2411 () (= @t27 @t56)) % 54.38/54.67 (define @t2412 () (tptp.c_Nitpick_Onat__gcd @t125 @t176)) % 54.38/54.67 (define @t2413 () (= @t176 @t56)) % 54.38/54.67 (define @t2414 () (tptp.hAPP (tptp.hAPP @t2210 @t125) @t176)) % 54.38/54.67 (define @t2415 () (tptp.c_Wellfounded_Oaccp @t2254 tptp.c_Nitpick_Onat__gcd__rel)) % 54.38/54.67 (define @t2416 () (tptp.c_Nitpick_Ofrac @t10)) % 54.38/54.67 (define @t2417 () (tptp.hAPP @t230 @t3)) % 54.38/54.67 (define @t2418 () (tptp.hAPP @t2417 @t346)) % 54.38/54.67 (define @t2419 () (tptp.hBOOL @t2418)) % 54.38/54.67 (define @t2420 () (tptp.c_member @t17)) % 54.38/54.67 (define @t2421 () (tptp.hAPP @t2420 @t3)) % 54.38/54.67 (define @t2422 () (tptp.hBOOL (tptp.hAPP @t2421 @t226))) % 54.38/54.67 (define @t2423 () (tptp.tc_fun @t67 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t2424 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t17 @t2423)) % 54.38/54.67 (define @t2425 () (tptp.hAPP @t2424 @t226)) % 54.38/54.67 (define @t2426 () (tptp.hAPP @t2425 @t230)) % 54.38/54.67 (define @t2427 () (tptp.hBOOL (tptp.hAPP @t2426 @t346))) % 54.38/54.67 (define @t2428 () (@list @t346 @t230 @t226 @t67 @t17)) % 54.38/54.67 (define @t2429 () (tptp.hAPP @t2260 @t125)) % 54.38/54.67 (define @t2430 () (tptp.hBOOL @t2429)) % 54.38/54.67 (define @t2431 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t111) @t2260))) % 54.38/54.67 (define @t2432 () (tptp.hAPP @t111 @t125)) % 54.38/54.67 (define @t2433 () (tptp.hBOOL @t2432)) % 54.38/54.67 (define @t2434 () (tptp.hBOOL (tptp.hAPP @t2429 @t176))) % 54.38/54.67 (define @t2435 () (tptp.tc_fun @t17 @t2423)) % 54.38/54.67 (define @t2436 () (tptp.c_Orderings_Oord__class_Oless__eq @t2435)) % 54.38/54.67 (define @t2437 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2436 @t111) @t2260))) % 54.38/54.67 (define @t2438 () (tptp.hBOOL (tptp.hAPP @t2432 @t176))) % 54.38/54.67 (define @t2439 () (tptp.hAPP @t111 @t283)) % 54.38/54.67 (define @t2440 () (tptp.hAPP (tptp.hAPP @t2210 @t3) @t283)) % 54.38/54.67 (define @t2441 () (tptp.c_Nitpick_Odenom @t17)) % 54.38/54.67 (define @t2442 () (tptp.hAPP @t2441 @t1753)) % 54.38/54.67 (define @t2443 () (tptp.hAPP @t2060 @t1261)) % 54.38/54.67 (define @t2444 () (tptp.c_Nitpick_Onum @t17)) % 54.38/54.67 (define @t2445 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2446 () (tptp.hAPP @t2441 @t1499)) % 54.38/54.67 (define @t2447 () (@list @t1753 @t1499 @t17)) % 54.38/54.67 (define @t2448 () (tptp.hAPP (tptp.hAPP @t55 @t36) @t346)) % 54.38/54.67 (define @t2449 () (tptp.c_Nitpick_Odenom @t10)) % 54.38/54.67 (define @t2450 () (tptp.hAPP @t2449 @t490)) % 54.38/54.67 (define @t2451 () (tptp.c_Nitpick_Onum @t10)) % 54.38/54.67 (define @t2452 () (tptp.hAPP @t2451 @t490)) % 54.38/54.67 (define @t2453 () (@list @t490 @t10)) % 54.38/54.67 (define @t2454 () (tptp.hAPP @t2444 (tptp.c_Nitpick_Oplus__frac @t17 @t1499 (tptp.c_Nitpick_Ouminus__frac @t17 @t1753)))) % 54.38/54.67 (define @t2455 () (@var "V_fb_2" $$unsorted)) % 54.38/54.67 (define @t2456 () (@var "V_fa_2" $$unsorted)) % 54.38/54.67 (define @t2457 () (tptp.hAPP @t760 (tptp.hAPP @t2456 @t36))) % 54.38/54.67 (define @t2458 () (tptp.c_Nitpick_Opair__box_OPairBox @t17 @t67 @t36 @t346)) % 54.38/54.67 (define @t2459 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2172 @t67 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t2423 @t2172) @t111) @t2226)) @t2225)) % 54.38/54.67 (define @t2460 () (tptp.hAPP @t2179 @t111)) % 54.38/54.67 (define @t2461 () (@list @t111 @t67 @t17)) % 54.38/54.67 (define @t2462 () (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm)) % 54.38/54.67 (define @t2463 () (tptp.c_DSequence_Osingle @t17)) % 54.38/54.67 (define @t2464 () (tptp.tc_prod @t17 @t2462)) % 54.38/54.67 (define @t2465 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t17)) % 54.38/54.67 (define @t2466 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption @t2465)))) % 54.38/54.67 (define @t2467 () (tptp.tc_fun @t2466 @t2466)) % 54.38/54.67 (define @t2468 () (tptp.c_Product__Type_OPair @t2466 @t2335)) % 54.38/54.67 (define @t2469 () (tptp.tc_prod @t2466 @t2335)) % 54.38/54.67 (define @t2470 () (tptp.tc_fun @t2335 @t2469)) % 54.38/54.67 (define @t2471 () (tptp.tc_fun @t2466 @t2470)) % 54.38/54.67 (define @t2472 () (@var "V_size_2" $$unsorted)) % 54.38/54.67 (define @t2473 () (@var "V_nrandom_2" $$unsorted)) % 54.38/54.67 (define @t2474 () (tptp.c_Random__Sequence_ORandom @t17 @t1 @t2473 @t2472)) % 54.38/54.67 (define @t2475 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1892 @t2473) @t1748))) % 54.38/54.67 (define @t2476 () (tptp.hAPP @t2468 (tptp.c_DSequence_Oempty @t17))) % 54.38/54.67 (define @t2477 () (tptp.hAPP @t2189 @t176)) % 54.38/54.67 (define @t2478 () (tptp.hAPP tptp.c_fequal @t176)) % 54.38/54.67 (define @t2479 () (tptp.hAPP tptp.c_fequal @t125)) % 54.38/54.67 (define @t2480 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1991 @t17)) % 54.38/54.67 (define @t2481 () (tptp.hAPP @t2480 tptp.c_fconj)) % 54.38/54.67 (define @t2482 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t67)) % 54.38/54.67 (define @t2483 () (tptp.tc_fun @t2423 @t2423)) % 54.38/54.67 (define @t2484 () (tptp.hAPP (tptp.c_COMBB @t1991 @t2483 @t17) @t2482)) % 54.38/54.67 (define @t2485 () (tptp.c_COMBC @t17 @t2423 @t2423)) % 54.38/54.67 (define @t2486 () (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t2485 (tptp.hAPP @t2484 (tptp.hAPP @t2481 @t2479))) @t2478))) % 54.38/54.67 (define @t2487 () (@list @t176 @t125 @t67 @t17)) % 54.38/54.67 (define @t2488 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2174 @t2423 @t17) (tptp.hAPP (tptp.c_COMBB @t2172 tptp.tc_HOL_Obool @t67) @t111)) @t2171)) % 54.38/54.67 (define @t2489 () (tptp.hAPP @t2179 @t2488)) % 54.38/54.67 (define @t2490 () (tptp.c_Random__Sequence_Osingle @t17)) % 54.38/54.67 (define @t2491 () (tptp.c_Nitpick_Opair__box_OPairBox @t67 @t1945 @t36 @t346)) % 54.38/54.67 (define @t2492 () (tptp.hAPP @t2386 tptp.c_fequal)) % 54.38/54.67 (define @t2493 () (tptp.hAPP @t2492 @t36)) % 54.38/54.67 (define @t2494 () (tptp.hAPP @t5 @t283)) % 54.38/54.67 (define @t2495 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.67 (define @t2496 () (@var "V_xq_2" $$unsorted)) % 54.38/54.67 (define @t2497 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t56)) % 54.38/54.67 (define @t2498 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t86)) % 54.38/54.67 (define @t2499 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t33)) % 54.38/54.67 (define @t2500 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t58)) % 54.38/54.67 (define @t2501 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t9)) % 54.38/54.67 (define @t2502 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t239)) % 54.38/54.67 (define @t2503 () (@var "V_seed_2" $$unsorted)) % 54.38/54.67 (define @t2504 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2186 @t2473) @t2472) @t2503)) % 54.38/54.67 (define @t2505 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t58)) % 54.38/54.67 (define @t2506 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t9)) % 54.38/54.67 (define @t2507 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 tptp.tc_Code__Numeral_Ocode__numeral @t2465) @t2) @t31)) % 54.38/54.67 (define @t2508 () (tptp.hAPP @t125 (tptp.hAPP (tptp.hAPP @t1757 @t31) @t1751))) % 54.38/54.67 (define @t2509 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t67 @t17 @t125 @t2) @t31)) % 54.38/54.67 (define @t2510 () (= @t31 @t1748)) % 54.38/54.67 (define @t2511 () (not @t2510)) % 54.38/54.67 (define @t2512 () (@list @t2 @t125 @t17 @t67 @t31)) % 54.38/54.67 (define @t2513 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t125)) % 54.38/54.67 (define @t2514 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t86)) % 54.38/54.67 (define @t2515 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t33)) % 54.38/54.67 (define @t2516 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t240)) % 54.38/54.67 (define @t2517 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2465)) % 54.38/54.67 (define @t2518 () (tptp.tc_fun @t2335 @t2517)) % 54.38/54.67 (define @t2519 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2518)) % 54.38/54.67 (define @t2520 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 @t2335 @t2517) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 tptp.tc_Code__Numeral_Ocode__numeral @t2518) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 tptp.tc_Code__Numeral_Ocode__numeral @t2519) @t2) @t2473)) @t2472)) @t2503)) % 54.38/54.67 (define @t2521 () (@list @t2503 @t2472 @t2473 @t2 @t2186 @t17 @t67)) % 54.38/54.67 (define @t2522 () (@var "V_i_1" $$unsorted)) % 54.38/54.67 (define @t2523 () (tptp.hAPP @t125 @t31)) % 54.38/54.67 (define @t2524 () (@list @t31 @t2 @t125 @t17 @t67)) % 54.38/54.67 (define @t2525 () (tptp.tc_Option_Ooption @t17)) % 54.38/54.67 (define @t2526 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2525)) % 54.38/54.67 (define @t2527 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 tptp.tc_Code__Numeral_Ocode__numeral @t2526) @t2) @t31)) % 54.38/54.67 (define @t2528 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t67 @t17 @t125 @t2) @t31)) % 54.38/54.67 (define @t2529 () (tptp.c_Quickcheck_Obeyond @t239 @t308)) % 54.38/54.67 (define @t2530 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2526)) % 54.38/54.67 (define @t2531 () (tptp.tc_fun @t2335 @t2530)) % 54.38/54.67 (define @t2532 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2531)) % 54.38/54.67 (define @t2533 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 @t2335 @t2530) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 tptp.tc_Code__Numeral_Ocode__numeral @t2531) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 tptp.tc_Code__Numeral_Ocode__numeral @t2532) @t2) @t2473)) @t2472)) @t2503)) % 54.38/54.67 (define @t2534 () (tptp.hAPP (tptp.hAPP @t2204 @t125) @t176)) % 54.38/54.67 (define @t2535 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t17 @t67 tptp.tc_HOL_Obool @t2) @t36) @t346))) % 54.38/54.67 (define @t2536 () (tptp.hBOOL (tptp.hAPP @t2 @t2178))) % 54.38/54.67 (define @t2537 () (tptp.hAPP @t2175 @t2)) % 54.38/54.67 (define @t2538 () (tptp.hBOOL @t1935)) % 54.38/54.67 (define @t2539 () (tptp.hBOOL (tptp.hAPP @t2421 @t230))) % 54.38/54.67 (define @t2540 () (tptp.c_Predicate_OPowp @t17 @t226)) % 54.38/54.67 (define @t2541 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2542 () (tptp.hAPP @t2541 @t28)) % 54.38/54.67 (define @t2543 () (tptp.c_Rings_Odvd__class_Odvd @t10)) % 54.38/54.67 (define @t2544 () (tptp.hAPP @t2543 @t149)) % 54.38/54.67 (define @t2545 () (tptp.c_Rings_Odvd__class_Odvd @t17)) % 54.38/54.67 (define @t2546 () (tptp.hAPP @t2545 @t86)) % 54.38/54.67 (define @t2547 () (tptp.hBOOL (tptp.hAPP @t2546 @t359))) % 54.38/54.67 (define @t2548 () (@list @t359 @t86 @t17)) % 54.38/54.67 (define @t2549 () (tptp.c_Divides_Odiv__class_Odiv @t17)) % 54.38/54.67 (define @t2550 () (tptp.hAPP (tptp.hAPP @t2549 @t346) @t36)) % 54.38/54.67 (define @t2551 () (tptp.hAPP @t2545 @t36)) % 54.38/54.67 (define @t2552 () (tptp.hBOOL (tptp.hAPP @t2551 @t346))) % 54.38/54.67 (define @t2553 () (tptp.class_Divides_Osemiring__div @t17)) % 54.38/54.67 (define @t2554 () (tptp.hAPP @t2545 @t125)) % 54.38/54.67 (define @t2555 () (tptp.hBOOL (tptp.hAPP @t2554 @t176))) % 54.38/54.67 (define @t2556 () (tptp.class_Rings_Ocomm__ring__1 @t17)) % 54.38/54.67 (define @t2557 () (tptp.hAPP @t2545 @t359)) % 54.38/54.67 (define @t2558 () (tptp.hAPP @t2543 @t150)) % 54.38/54.67 (define @t2559 () (tptp.hBOOL (tptp.hAPP @t2558 @t153))) % 54.38/54.67 (define @t2560 () (tptp.hAPP @t2543 @t239)) % 54.38/54.67 (define @t2561 () (tptp.hBOOL (tptp.hAPP @t2560 (tptp.c_Divides_Odiv__class_Omod @t10 @t58 @t9)))) % 54.38/54.67 (define @t2562 () (tptp.hBOOL (tptp.hAPP @t2560 @t9))) % 54.38/54.67 (define @t2563 () (tptp.hBOOL (tptp.hAPP @t2560 @t58))) % 54.38/54.67 (define @t2564 () (@list @t9 @t58 @t239 @t10)) % 54.38/54.67 (define @t2565 () (tptp.hBOOL (tptp.hAPP @t2542 @t27))) % 54.38/54.67 (define @t2566 () (tptp.hAPP @t2541 @t27)) % 54.38/54.67 (define @t2567 () (tptp.hBOOL (tptp.hAPP @t2566 @t28))) % 54.38/54.67 (define @t2568 () (and @t2565 (not @t2567))) % 54.38/54.67 (define @t2569 () (tptp.hAPP @t2541 @t134)) % 54.38/54.67 (define @t2570 () (tptp.hBOOL (tptp.hAPP @t2542 @t134))) % 54.38/54.67 (define @t2571 () (and @t2570 (not (tptp.hBOOL (tptp.hAPP @t2569 @t28))))) % 54.38/54.67 (define @t2572 () (tptp.hBOOL (tptp.hAPP @t2566 @t134))) % 54.38/54.67 (define @t2573 () (=> (and @t2572 (not (tptp.hBOOL (tptp.hAPP @t2569 @t27)))) @t2571)) % 54.38/54.67 (define @t2574 () (tptp.hAPP @t2541 @t149)) % 54.38/54.67 (define @t2575 () (tptp.hBOOL (tptp.hAPP @t2574 @t153))) % 54.38/54.67 (define @t2576 () (tptp.hAPP @t2541 @t153)) % 54.38/54.67 (define @t2577 () (tptp.hBOOL (tptp.hAPP @t2576 @t149))) % 54.38/54.67 (define @t2578 () (and @t2575 (not @t2577))) % 54.38/54.67 (define @t2579 () (tptp.hAPP @t2541 @t150)) % 54.38/54.67 (define @t2580 () (tptp.hBOOL (tptp.hAPP @t2574 @t150))) % 54.38/54.67 (define @t2581 () (and @t2580 (not (tptp.hBOOL (tptp.hAPP @t2579 @t149))))) % 54.38/54.67 (define @t2582 () (tptp.hBOOL (tptp.hAPP @t2576 @t150))) % 54.38/54.67 (define @t2583 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t9) @t58))) % 54.38/54.67 (define @t2584 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t58) @t9))) % 54.38/54.67 (define @t2585 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t125) @t176))) % 54.38/54.67 (define @t2586 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t176) @t125))) % 54.38/54.67 (define @t2587 () (and @t2585 (not @t2586))) % 54.38/54.67 (define @t2588 () (tptp.hBOOL (tptp.hAPP @t2544 @t150))) % 54.38/54.67 (define @t2589 () (tptp.hAPP @t2543 @t153)) % 54.38/54.67 (define @t2590 () (tptp.hBOOL (tptp.hAPP @t2589 @t150))) % 54.38/54.67 (define @t2591 () (tptp.hBOOL (tptp.hAPP @t2544 @t153))) % 54.38/54.67 (define @t2592 () (tptp.hAPP @t2543 @t28)) % 54.38/54.67 (define @t2593 () (tptp.hBOOL (tptp.hAPP @t2592 @t27))) % 54.38/54.67 (define @t2594 () (tptp.hAPP @t507 @t9)) % 54.38/54.67 (define @t2595 () (tptp.hAPP @t2543 @t1732)) % 54.38/54.67 (define @t2596 () (tptp.hBOOL (tptp.hAPP @t2544 @t315))) % 54.38/54.67 (define @t2597 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2543 @t317) @t150))) % 54.38/54.67 (define @t2598 () (tptp.hAPP @t2541 @t359)) % 54.38/54.67 (define @t2599 () (tptp.hAPP @t2541 @t239)) % 54.38/54.67 (define @t2600 () (tptp.hBOOL (tptp.hAPP @t2599 @t768))) % 54.38/54.67 (define @t2601 () (tptp.hBOOL (tptp.hAPP @t2599 @t9))) % 54.38/54.67 (define @t2602 () (tptp.hBOOL (tptp.hAPP @t2599 @t58))) % 54.38/54.67 (define @t2603 () (tptp.hAPP @t2541 @t86)) % 54.38/54.67 (define @t2604 () (or @t1791 @t2552)) % 54.38/54.67 (define @t2605 () (tptp.hAPP @t1283 @t28)) % 54.38/54.67 (define @t2606 () (tptp.hAPP @t2543 @t134)) % 54.38/54.67 (define @t2607 () (tptp.hAPP @t1283 @t153)) % 54.38/54.67 (define @t2608 () (tptp.hAPP @t2607 @t149)) % 54.38/54.67 (define @t2609 () (tptp.hAPP @t313 @t2608)) % 54.38/54.67 (define @t2610 () (tptp.hAPP @t2605 @t27)) % 54.38/54.67 (define @t2611 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2543 @t27) @t28))) % 54.38/54.67 (define @t2612 () (tptp.hAPP @t818 @t2610)) % 54.38/54.67 (define @t2613 () (tptp.hAPP @t2543 @t330)) % 54.38/54.67 (define @t2614 () (tptp.hBOOL (tptp.hAPP @t2603 @t33))) % 54.38/54.67 (define @t2615 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t369) @t368))) % 54.38/54.67 (define @t2616 () (tptp.hAPP @t836 @t3)) % 54.38/54.67 (define @t2617 () (tptp.class_Rings_Osemiring__0 @t17)) % 54.38/54.67 (define @t2618 () (tptp.class_Rings_Odvd @t17)) % 54.38/54.67 (define @t2619 () (tptp.hAPP @t2545 @t863)) % 54.38/54.67 (define @t2620 () (@list @t3 @t1083)) % 54.38/54.67 (define @t2621 () (tptp.tc_fun @t231 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t2622 () (tptp.c_Orderings_Oord__class_Oless__eq @t2621)) % 54.38/54.67 (define @t2623 () (@list @t28 @t9 @t10)) % 54.38/54.67 (define @t2624 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t2625 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1991 tptp.tc_Nat_Onat) tptp.c_fconj)) % 54.38/54.67 (define @t2626 () (tptp.tc_fun tptp.tc_Nat_Onat @t1991)) % 54.38/54.67 (define @t2627 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t2628 () (tptp.tc_fun @t1986 @t1986)) % 54.38/54.67 (define @t2629 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t1986 @t1986) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2626 @t2628 tptp.tc_Nat_Onat) @t2627) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1986 @t2626 tptp.tc_Nat_Onat) @t2625) @t2541))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1986 @t1986 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP @t2624 @t2541)))) % 54.38/54.67 (define @t2630 () (tptp.c_Orderings_Oorder_Ostrict__mono tptp.tc_Nat_Onat @t17 @t2629 @t2)) % 54.38/54.67 (define @t2631 () (@list @t176 @t125 @t2 @t17)) % 54.38/54.67 (define @t2632 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t127) @t195))) % 54.38/54.67 (define @t2633 () (tptp.c_Orderings_Oorder_Omono tptp.tc_Nat_Onat @t17 @t2541 @t2)) % 54.38/54.67 (define @t2634 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2635 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t522) @t535))) % 54.38/54.67 (define @t2636 () (@list @t86 @t522)) % 54.38/54.67 (define @t2637 () (tptp.hAPP tptp.c_Int_Onat @t1575)) % 54.38/54.67 (define @t2638 () (tptp.hAPP @t2634 @t239)) % 54.38/54.67 (define @t2639 () (=> (tptp.hBOOL (tptp.hAPP @t2638 @t9)) (tptp.hBOOL (tptp.hAPP @t2638 @t58)))) % 54.38/54.67 (define @t2640 () (tptp.hAPP @t2634 @t863)) % 54.38/54.67 (define @t2641 () (tptp.hBOOL (tptp.hAPP @t2640 @t2231))) % 54.38/54.67 (define @t2642 () (@list @t2231 @t863)) % 54.38/54.67 (define @t2643 () (@var "V_f" $$unsorted)) % 54.38/54.67 (define @t2644 () (tptp.hAPP @t2634 @t2643)) % 54.38/54.67 (define @t2645 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t9) @t58))) % 54.38/54.67 (define @t2646 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t58) @t9))) % 54.38/54.67 (define @t2647 () (tptp.hAPP @t1362 @t86)) % 54.38/54.67 (define @t2648 () (tptp.hAPP @t2634 @t36)) % 54.38/54.67 (define @t2649 () (tptp.hAPP @t2634 @t359)) % 54.38/54.67 (define @t2650 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t574) @t573))) % 54.38/54.67 (define @t2651 () (@list @t176 @t33 @t125)) % 54.38/54.67 (define @t2652 () (tptp.hAPP @t2634 @t125)) % 54.38/54.67 (define @t2653 () (tptp.hAPP @t752 @t125)) % 54.38/54.67 (define @t2654 () (tptp.hAPP @t752 @t176)) % 54.38/54.67 (define @t2655 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t3) @t283))) % 54.38/54.67 (define @t2656 () (tptp.hAPP @t1039 @t663)) % 54.38/54.67 (define @t2657 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2658 () (tptp.hAPP @t2657 @t33)) % 54.38/54.67 (define @t2659 () (@list @t33 @t863 @t36)) % 54.38/54.67 (define @t2660 () (@var "B_q2" $$unsorted)) % 54.38/54.67 (define @t2661 () (tptp.hAPP @t760 @t176)) % 54.38/54.67 (define @t2662 () (@var "B_q1" $$unsorted)) % 54.38/54.67 (define @t2663 () (tptp.hAPP @t760 @t125)) % 54.38/54.67 (define @t2664 () (tptp.c_COMBB @t17 @t17 @t67)) % 54.38/54.67 (define @t2665 () (tptp.hAPP (tptp.hAPP @t2664 @t1527) @t2)) % 54.38/54.67 (define @t2666 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t67 @t17)) % 54.38/54.67 (define @t2667 () (tptp.hAPP (tptp.hAPP @t2666 @t2665) @t226)) % 54.38/54.67 (define @t2668 () (tptp.hAPP @t2666 @t2)) % 54.38/54.67 (define @t2669 () (tptp.hAPP @t2668 @t226)) % 54.38/54.67 (define @t2670 () (@list @t226 @t2 @t67 @t17)) % 54.38/54.67 (define @t2671 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t17 @t67) @t266) @t2)) % 54.38/54.67 (define @t2672 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t67 tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2673 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1945 @t17)) % 54.38/54.67 (define @t2674 () (tptp.c_COMBB @t1949 (tptp.tc_fun @t2187 @t17) @t67)) % 54.38/54.67 (define @t2675 () (tptp.hAPP @t2674 @t2673)) % 54.38/54.67 (define @t2676 () (tptp.c_COMBC @t67 @t2187 @t17)) % 54.38/54.67 (define @t2677 () (tptp.hAPP (tptp.hAPP @t2666 (tptp.hAPP (tptp.hAPP @t2676 (tptp.hAPP @t2675 @t2)) @t230)) @t226)) % 54.38/54.67 (define @t2678 () (tptp.class_Groups_Ocomm__monoid__add @t17)) % 54.38/54.67 (define @t2679 () (@list @t226 @t230 @t2 @t1945 @t67 @t17)) % 54.38/54.67 (define @t2680 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t17)) % 54.38/54.67 (define @t2681 () (tptp.hAPP @t2680 @t2)) % 54.38/54.67 (define @t2682 () (tptp.hAPP @t2657 @t34)) % 54.38/54.67 (define @t2683 () (@list @t33 @t2 @t17)) % 54.38/54.67 (define @t2684 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t17 @t67) @t591) @t2)) % 54.38/54.67 (define @t2685 () (tptp.c_SetInterval_Oord__class_OlessThan @t17)) % 54.38/54.67 (define @t2686 () (tptp.hAPP @t2685 @t176)) % 54.38/54.67 (define @t2687 () (tptp.hAPP @t2685 @t125)) % 54.38/54.67 (define @t2688 () (tptp.hAPP @t2246 @t268)) % 54.38/54.67 (define @t2689 () (@list @t226 @t67 @t17)) % 54.38/54.67 (define @t2690 () (tptp.hAPP @t2666 @t1)) % 54.38/54.67 (define @t2691 () (tptp.hAPP @t2690 @t226)) % 54.38/54.67 (define @t2692 () (tptp.c_COMBB @t17 @t2005 @t67)) % 54.38/54.67 (define @t2693 () (tptp.c_COMBS @t67 @t17 @t17)) % 54.38/54.67 (define @t2694 () (tptp.hAPP (tptp.hAPP @t2693 (tptp.hAPP (tptp.hAPP @t2692 @t836) @t2)) @t1)) % 54.38/54.67 (define @t2695 () (@list @t226 @t1 @t2 @t67 @t17)) % 54.38/54.67 (define @t2696 () (tptp.hAPP (tptp.hAPP @t2692 @t349) @t2)) % 54.38/54.67 (define @t2697 () (tptp.hAPP @t349 @t2669)) % 54.38/54.67 (define @t2698 () (tptp.c_COMBC @t67 @t17 @t17)) % 54.38/54.67 (define @t2699 () (tptp.hAPP @t2698 @t2696)) % 54.38/54.67 (define @t2700 () (@list @t1753 @t226 @t2 @t67 @t17)) % 54.38/54.67 (define @t2701 () (tptp.hAPP @t349 @t1753)) % 54.38/54.67 (define @t2702 () (tptp.hAPP (tptp.hAPP @t2693 (tptp.hAPP (tptp.hAPP @t2692 @t866) @t2)) @t1)) % 54.38/54.67 (define @t2703 () (tptp.hAPP @t185 @t86)) % 54.38/54.67 (define @t2704 () (tptp.hAPP @t349 @t267)) % 54.38/54.67 (define @t2705 () (tptp.c_COMBB @t17 @t2005 tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2706 () (tptp.hAPP @t836 @t651)) % 54.38/54.67 (define @t2707 () (tptp.hAPP @t349 (tptp.hAPP @t2706 @t651))) % 54.38/54.67 (define @t2708 () (tptp.class_Rings_Ocomm__semiring__1 @t17)) % 54.38/54.67 (define @t2709 () (tptp.hAPP @t760 @t36)) % 54.38/54.67 (define @t2710 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2711 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t86 @t33)) % 54.38/54.67 (define @t2712 () (tptp.hAPP @t2334 @t760)) % 54.38/54.67 (define @t2713 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t17 tptp.tc_Nat_Onat) @t2)) % 54.38/54.67 (define @t2714 () (tptp.hAPP (tptp.hAPP @t2680 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t17 @t17) (tptp.hAPP (tptp.hAPP @t2705 @t866) @t2)) (tptp.hAPP @t2713 (tptp.hAPP @t2712 @t663)))) @t2711)) % 54.38/54.67 (define @t2715 () (tptp.hAPP @t1215 @t663)) % 54.38/54.67 (define @t2716 () (@list @t2 @t33 @t86 @t17)) % 54.38/54.67 (define @t2717 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t663 @t33)) % 54.38/54.67 (define @t2718 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t56)) % 54.38/54.67 (define @t2719 () (tptp.hAPP @t2718 @t33)) % 54.38/54.67 (define @t2720 () (tptp.hAPP @t1215 @t1882)) % 54.38/54.67 (define @t2721 () (tptp.hAPP @t2681 @t2711)) % 54.38/54.67 (define @t2722 () (tptp.hAPP @t836 @t2721)) % 54.38/54.67 (define @t2723 () (tptp.hAPP @t2710 @t2)) % 54.38/54.67 (define @t2724 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1045 @t952)) % 54.38/54.67 (define @t2725 () (tptp.hAPP tptp.c_Nat_OSuc @t952)) % 54.38/54.67 (define @t2726 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1045)) % 54.38/54.67 (define @t2727 () (@list @t952 @t1045)) % 54.38/54.67 (define @t2728 () (= @t346 @t863)) % 54.38/54.67 (define @t2729 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t17 @t55) @t863)) % 54.38/54.67 (define @t2730 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t17 @t36) @t346)) % 54.38/54.67 (define @t2731 () (= @t2730 @t2729)) % 54.38/54.67 (define @t2732 () (= @t36 @t55)) % 54.38/54.67 (define @t2733 () (and @t2732 @t2728)) % 54.38/54.67 (define @t2734 () (tptp.hBOOL (tptp.hAPP @t379 @t863))) % 54.38/54.67 (define @t2735 () (tptp.hBOOL (tptp.hAPP @t936 @t36))) % 54.38/54.67 (define @t2736 () (and @t2735 @t2734)) % 54.38/54.67 (define @t2737 () (not @t455)) % 54.38/54.67 (define @t2738 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t55 @t863)) % 54.38/54.67 (define @t2739 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t36 @t346)) % 54.38/54.67 (define @t2740 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t86)) % 54.38/54.67 (define @t2741 () (tptp.hAPP @t2740 @t33)) % 54.38/54.67 (define @t2742 () (tptp.hAPP @t2680 (tptp.hAPP @t2713 tptp.c_Nat_OSuc))) % 54.38/54.67 (define @t2743 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t208)) % 54.38/54.67 (define @t2744 () (@list @t33 @t86 @t2 @t17)) % 54.38/54.67 (define @t2745 () (tptp.hAPP @t2712 @t359)) % 54.38/54.67 (define @t2746 () (tptp.hAPP @t2680 (tptp.hAPP @t2713 @t2745))) % 54.38/54.67 (define @t2747 () (@list @t33 @t359 @t86 @t2 @t17)) % 54.38/54.67 (define @t2748 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t17 @t31)) % 54.38/54.67 (define @t2749 () (tptp.hAPP @t49 @t31)) % 54.38/54.67 (define @t2750 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t17) @t509) @t2)) % 54.38/54.67 (define @t2751 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t17 tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2752 () (tptp.hAPP (tptp.hAPP @t2751 @t2750) @t226)) % 54.38/54.67 (define @t2753 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t17 tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2754 () (tptp.hAPP @t2753 @t2)) % 54.38/54.67 (define @t2755 () (tptp.hAPP @t2754 @t226)) % 54.38/54.67 (define @t2756 () (@list @t226 @t2 @t17)) % 54.38/54.67 (define @t2757 () (tptp.hAPP @t2681 (tptp.hAPP @t2740 @t1882))) % 54.38/54.67 (define @t2758 () (tptp.hAPP @t2681 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t33) @t1882))) % 54.38/54.67 (define @t2759 () (tptp.hAPP @t2681 @t2741)) % 54.38/54.67 (define @t2760 () (tptp.hAPP @t836 @t2759)) % 54.38/54.67 (define @t2761 () (tptp.hBOOL (tptp.hAPP @t94 @t1882))) % 54.38/54.67 (define @t2762 () (@list @t2 @t1882 @t33 @t86 @t17)) % 54.38/54.67 (define @t2763 () (tptp.hAPP @t836 @t272)) % 54.38/54.67 (define @t2764 () (tptp.hAPP @t2740 @t34)) % 54.38/54.67 (define @t2765 () (tptp.hAPP @t2681 @t2764)) % 54.38/54.67 (define @t2766 () (@list @t2 @t86 @t33 @t17)) % 54.38/54.67 (define @t2767 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t86 @t34)) % 54.38/54.67 (define @t2768 () (tptp.hAPP @t2681 @t2767)) % 54.38/54.67 (define @t2769 () (tptp.hBOOL (tptp.hAPP @t2021 @t86))) % 54.38/54.67 (define @t2770 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t56 @t33)) % 54.38/54.67 (define @t2771 () (tptp.c_member tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2772 () (tptp.hAPP @t2771 @t3)) % 54.38/54.67 (define @t2773 () (tptp.hBOOL (tptp.hAPP @t2772 @t2770))) % 54.38/54.67 (define @t2774 () (tptp.hBOOL (tptp.hAPP @t111 @t222))) % 54.38/54.67 (define @t2775 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t222) @t33))) % 54.38/54.67 (define @t2776 () (@list @t111 @t33)) % 54.38/54.67 (define @t2777 () (tptp.hBOOL (tptp.hAPP @t2772 @t2719))) % 54.38/54.67 (define @t2778 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t222) @t33))) % 54.38/54.67 (define @t2779 () (tptp.hAPP @t2260 @t3)) % 54.38/54.67 (define @t2780 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1045 @t952)) % 54.38/54.67 (define @t2781 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1045)) % 54.38/54.67 (define @t2782 () (tptp.hAPP @t1398 @t1225)) % 54.38/54.67 (define @t2783 () (tptp.hAPP @t523 @t2231)) % 54.38/54.67 (define @t2784 () (tptp.hBOOL (tptp.hAPP @t2783 @t3))) % 54.38/54.67 (define @t2785 () (@var "B_xa" $$unsorted)) % 54.38/54.67 (define @t2786 () (@var "B_xb" $$unsorted)) % 54.38/54.67 (define @t2787 () (tptp.c_member tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2788 () (tptp.hAPP @t2787 @t2786)) % 54.38/54.67 (define @t2789 () (@list @t2786)) % 54.38/54.67 (define @t2790 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t661 @t1225)) % 54.38/54.67 (define @t2791 () (tptp.hAPP @t2787 @t2785)) % 54.38/54.67 (define @t2792 () (tptp.hBOOL (tptp.hAPP @t2791 @t2790))) % 54.38/54.67 (define @t2793 () (@list @t2785)) % 54.38/54.67 (define @t2794 () (forall @t2793 (=> @t2792 (forall @t2789 (=> (tptp.hBOOL (tptp.hAPP @t2788 @t226)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t829 @t2786) @t2785)))))))) % 54.38/54.67 (define @t2795 () (tptp.hBOOL (tptp.hAPP @t513 @t1225))) % 54.38/54.67 (define @t2796 () (@list @t2231 @t226 @t1225)) % 54.38/54.67 (define @t2797 () (tptp.hAPP @t1392 @t1225)) % 54.38/54.67 (define @t2798 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t3) @t2231))) % 54.38/54.67 (define @t2799 () (forall @t2793 (=> @t2792 (forall @t2789 (=> (tptp.hBOOL (tptp.hAPP @t2788 @t230)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t745 @t2786) @t2785)))))))) % 54.38/54.67 (define @t2800 () (@list @t2231 @t230 @t1225)) % 54.38/54.67 (define @t2801 () (tptp.hAPP @t2787 @t3)) % 54.38/54.67 (define @t2802 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t3) @t2231))) % 54.38/54.67 (define @t2803 () (tptp.hAPP @t512 @t2231)) % 54.38/54.67 (define @t2804 () (tptp.hBOOL (tptp.hAPP @t2803 @t3))) % 54.38/54.67 (define @t2805 () (tptp.hBOOL (tptp.hAPP @t2640 (tptp.hAPP (tptp.hAPP @t745 @t2797) @t2231)))) % 54.38/54.67 (define @t2806 () (tptp.hBOOL (tptp.hAPP @t2640 (tptp.hAPP @t1398 @t2231)))) % 54.38/54.67 (define @t2807 () (tptp.hBOOL (tptp.hAPP @t2640 @t1225))) % 54.38/54.67 (define @t2808 () (@list @t2231 @t230 @t1225 @t863)) % 54.38/54.67 (define @t2809 () (tptp.hBOOL (tptp.hAPP @t2640 (tptp.hAPP (tptp.hAPP @t745 @t2782) @t2231)))) % 54.38/54.67 (define @t2810 () (@list @t2231 @t226 @t1225 @t863)) % 54.38/54.67 (define @t2811 () (not @t2806)) % 54.38/54.67 (define @t2812 () (tptp.hAPP tptp.c_Int_Onat @t952)) % 54.38/54.67 (define @t2813 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t509)) % 54.38/54.67 (define @t2814 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t511)) % 54.38/54.67 (define @t2815 () (tptp.hAPP @t2814 @t952)) % 54.38/54.67 (define @t2816 () (@list @t952)) % 54.38/54.67 (define @t2817 () (tptp.c_Set_Oimage @t17 @t67 @t2)) % 54.38/54.67 (define @t2818 () (tptp.hAPP @t2817 @t230)) % 54.38/54.67 (define @t2819 () (tptp.hAPP @t2817 @t226)) % 54.38/54.67 (define @t2820 () (tptp.c_Orderings_Oord__class_Oless__eq @t2423)) % 54.38/54.67 (define @t2821 () (tptp.hAPP @t2820 @t2819)) % 54.38/54.67 (define @t2822 () (tptp.hBOOL (tptp.hAPP @t2821 @t2818))) % 54.38/54.67 (define @t2823 () (@list @t2 @t67 @t230 @t226 @t17)) % 54.38/54.67 (define @t2824 () (@var "B_AA" $$unsorted)) % 54.38/54.67 (define @t2825 () (tptp.c_Set_Oimage @t67 @t17 @t2)) % 54.38/54.67 (define @t2826 () (tptp.hAPP @t2825 @t226)) % 54.38/54.67 (define @t2827 () (tptp.hBOOL (tptp.hAPP @t500 @t2826))) % 54.38/54.67 (define @t2828 () (tptp.hAPP @t2813 @t230)) % 54.38/54.67 (define @t2829 () (tptp.hAPP @t2813 @t226)) % 54.38/54.67 (define @t2830 () (tptp.c_Orderings_Oord__class_Oless__eq @t2130)) % 54.38/54.67 (define @t2831 () (tptp.c_Orderings_Oord__class_Oless__eq @t1986)) % 54.38/54.67 (define @t2832 () (tptp.hAPP @t2831 @t226)) % 54.38/54.67 (define @t2833 () (@list @t230 @t226)) % 54.38/54.67 (define @t2834 () (tptp.c_Orderings_Oord__class_Oless @t2130)) % 54.38/54.67 (define @t2835 () (tptp.c_Orderings_Oord__class_Oless @t1986)) % 54.38/54.67 (define @t2836 () (tptp.c_COMBB @t67 @t17 @t1945)) % 54.38/54.67 (define @t2837 () (tptp.c_Set_Oimage @t1945 @t67 @t1)) % 54.38/54.67 (define @t2838 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t67 @t231 @t1945) @t230) @t2)) % 54.38/54.67 (define @t2839 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1945 @t231)) % 54.38/54.67 (define @t2840 () (tptp.hAPP @t2839 @t226)) % 54.38/54.67 (define @t2841 () (tptp.hAPP (tptp.c_Set_Oimage @t1945 @t67 @t2) @t226)) % 54.38/54.67 (define @t2842 () (@list @t230 @t226 @t2 @t1945 @t17 @t67)) % 54.38/54.67 (define @t2843 () (tptp.hAPP (tptp.c_Set_Oimage @t67 @t1945 @t2) @t226)) % 54.38/54.67 (define @t2844 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1945 @t231 @t67) @t230) @t2)) % 54.38/54.67 (define @t2845 () (tptp.hAPP @t1938 @t226)) % 54.38/54.67 (define @t2846 () (@list @t2 @t230 @t1945 @t226 @t17 @t67)) % 54.38/54.67 (define @t2847 () (tptp.c_Groups_Ominus__class_Ominus @t2423)) % 54.38/54.67 (define @t2848 () (tptp.hAPP @t2847 @t226)) % 54.38/54.67 (define @t2849 () (tptp.hAPP @t2848 @t230)) % 54.38/54.67 (define @t2850 () (tptp.hAPP @t2825 @t230)) % 54.38/54.67 (define @t2851 () (@list @t230 @t226 @t2 @t67 @t17)) % 54.38/54.67 (define @t2852 () (tptp.c_Set_Oimage @t17 @t17 @t839)) % 54.38/54.67 (define @t2853 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t17)) % 54.38/54.67 (define @t2854 () (tptp.class_Groups_Ocomm__monoid__mult @t17)) % 54.38/54.67 (define @t2855 () (and @t2678 @t2854)) % 54.38/54.67 (define @t2856 () (tptp.hAPP @t2680 @t111)) % 54.38/54.67 (define @t2857 () (tptp.hBOOL (tptp.hAPP @t81 @t5))) % 54.38/54.67 (define @t2858 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t17 @t67)) % 54.38/54.67 (define @t2859 () (tptp.hAPP @t2858 @t1)) % 54.38/54.67 (define @t2860 () (tptp.hAPP @t2858 @t2)) % 54.38/54.67 (define @t2861 () (tptp.class_Groups_Ocomm__monoid__add @t67)) % 54.38/54.67 (define @t2862 () (tptp.hAPP @t829 @t952)) % 54.38/54.67 (define @t2863 () (tptp.hAPP @t2862 @t1045)) % 54.38/54.67 (define @t2864 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 54.38/54.67 (define @t2865 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t17)) % 54.38/54.67 (define @t2866 () (tptp.hAPP @t2865 @t125)) % 54.38/54.67 (define @t2867 () (tptp.hAPP @t2865 @t176)) % 54.38/54.67 (define @t2868 () (tptp.hAPP tptp.c_Nat_OSuc @t759)) % 54.38/54.67 (define @t2869 () (tptp.hAPP tptp.c_Nat_OSuc @t31)) % 54.38/54.67 (define @t2870 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t31)) % 54.38/54.67 (define @t2871 () (tptp.hAPP @t2870 @t759)) % 54.38/54.67 (define @t2872 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 54.38/54.67 (define @t2873 () (@list @t759 @t31)) % 54.38/54.67 (define @t2874 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t31 @t759)) % 54.38/54.67 (define @t2875 () (tptp.hAPP @t760 @t759)) % 54.38/54.67 (define @t2876 () (tptp.hAPP @t2875 @t359)) % 54.38/54.67 (define @t2877 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2745)) % 54.38/54.67 (define @t2878 () (@list @t759 @t31 @t359)) % 54.38/54.67 (define @t2879 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t17) @t663)) % 54.38/54.67 (define @t2880 () (tptp.c_Finite__Set_Ocard @t17)) % 54.38/54.67 (define @t2881 () (tptp.hAPP @t2880 @t226)) % 54.38/54.67 (define @t2882 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t1045 @t952)) % 54.38/54.67 (define @t2883 () (tptp.hAPP tptp.c_Nat_OSuc @t1045)) % 54.38/54.67 (define @t2884 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 54.38/54.67 (define @t2885 () (@list @t226)) % 54.38/54.67 (define @t2886 () (tptp.c_Finite__Set_Ocard @t67)) % 54.38/54.67 (define @t2887 () (tptp.hAPP @t2886 @t226)) % 54.38/54.67 (define @t2888 () (tptp.hAPP tptp.c_Int_Onat @t2863)) % 54.38/54.67 (define @t2889 () (tptp.hAPP @t2781 @t952)) % 54.38/54.67 (define @t2890 () (tptp.hAPP (tptp.hAPP @t745 @t1045) @t661)) % 54.38/54.67 (define @t2891 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1045 @t952)) % 54.38/54.67 (define @t2892 () (tptp.hAPP @t2884 @t226)) % 54.38/54.67 (define @t2893 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t17 tptp.tc_Nat_Onat) @t2) @t509)) % 54.38/54.67 (define @t2894 () (tptp.hAPP @t2853 @t2)) % 54.38/54.67 (define @t2895 () (tptp.hAPP @t2894 @t226)) % 54.38/54.67 (define @t2896 () (tptp.c_Nat__Transfer_Onat__set @t226)) % 54.38/54.67 (define @t2897 () (@list @t2 @t226 @t17)) % 54.38/54.67 (define @t2898 () (tptp.hAPP @t2884 @t230)) % 54.38/54.67 (define @t2899 () (tptp.c_Nat__Transfer_Onat__set @t230)) % 54.38/54.67 (define @t2900 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2901 () (tptp.hAPP @t2900 @t33)) % 54.38/54.67 (define @t2902 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t2903 () (tptp.c_SetInterval_Oord__class_OatMost @t17)) % 54.38/54.67 (define @t2904 () (tptp.hAPP @t2903 @t176)) % 54.38/54.67 (define @t2905 () (tptp.hAPP @t2903 @t125)) % 54.38/54.67 (define @t2906 () (tptp.hAPP @t740 @t952)) % 54.38/54.67 (define @t2907 () (tptp.hAPP @t2906 @t1045)) % 54.38/54.67 (define @t2908 () (tptp.hAPP @t2726 @t952)) % 54.38/54.67 (define @t2909 () (@var "V_S_2" $$unsorted)) % 54.38/54.67 (define @t2910 () (tptp.hAPP @t2900 @t359)) % 54.38/54.67 (define @t2911 () (tptp.hAPP @t2657 @t373)) % 54.38/54.67 (define @t2912 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t125 @t176))) % 54.38/54.67 (define @t2913 () (tptp.hAPP @t2865 @t359)) % 54.38/54.67 (define @t2914 () (tptp.hAPP @t2903 @t359)) % 54.38/54.67 (define @t2915 () (tptp.hAPP @t2902 @t226)) % 54.38/54.67 (define @t2916 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t359) (tptp.hAPP @t924 @t2915))) % 54.38/54.67 (define @t2917 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1045 @t952)) % 54.38/54.67 (define @t2918 () (forall @t7 (=> @t584 @t6))) % 54.38/54.67 (define @t2919 () (@list @t1 @t2 @t230 @t226 @t17)) % 54.38/54.67 (define @t2920 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t17 @t1045 @t952)) % 54.38/54.67 (define @t2921 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t86 @t952)) % 54.38/54.67 (define @t2922 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t17 @t1045 @t86)) % 54.38/54.67 (define @t2923 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t231)) % 54.38/54.67 (define @t2924 () (tptp.hAPP @t2923 @t2922)) % 54.38/54.67 (define @t2925 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t86) @t952))) % 54.38/54.67 (define @t2926 () (tptp.hAPP @t185 @t1045)) % 54.38/54.67 (define @t2927 () (tptp.hBOOL (tptp.hAPP @t2926 @t86))) % 54.38/54.67 (define @t2928 () (@list @t952 @t86 @t1045 @t17)) % 54.38/54.67 (define @t2929 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t17 @t1045)) % 54.38/54.67 (define @t2930 () (tptp.hAPP @t2929 @t952)) % 54.38/54.67 (define @t2931 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t17 @t86 @t952)) % 54.38/54.67 (define @t2932 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t1045 @t86)) % 54.38/54.67 (define @t2933 () (tptp.hAPP @t2923 @t2932)) % 54.38/54.67 (define @t2934 () (tptp.hBOOL (tptp.hAPP @t2703 @t952))) % 54.38/54.67 (define @t2935 () (tptp.hAPP @t49 @t1045)) % 54.38/54.67 (define @t2936 () (tptp.hBOOL (tptp.hAPP @t2935 @t86))) % 54.38/54.67 (define @t2937 () (tptp.hAPP @t2541 @t55)) % 54.38/54.67 (define @t2938 () (tptp.hAPP @t2541 @t346)) % 54.38/54.67 (define @t2939 () (tptp.hBOOL (tptp.hAPP @t2938 @t863))) % 54.38/54.67 (define @t2940 () (tptp.hAPP @t2541 @t36)) % 54.38/54.67 (define @t2941 () (tptp.hBOOL (tptp.hAPP @t2937 @t36))) % 54.38/54.67 (define @t2942 () (tptp.hBOOL (tptp.hAPP @t2940 @t346))) % 54.38/54.67 (define @t2943 () (not @t2942)) % 54.38/54.67 (define @t2944 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2541 @t55 @t863)) % 54.38/54.67 (define @t2945 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2541 @t36 @t346)) % 54.38/54.67 (define @t2946 () (@list @t863 @t55 @t346 @t36)) % 54.38/54.67 (define @t2947 () (tptp.hAPP (tptp.hAPP @t745 @t1264) @t661)) % 54.38/54.67 (define @t2948 () (tptp.c_Wellfounded_Oaccp @t1978 tptp.c_List_Oupto__rel)) % 54.38/54.67 (define @t2949 () (tptp.hBOOL @t1242)) % 54.38/54.67 (define @t2950 () (tptp.hBOOL @t1243)) % 54.38/54.67 (define @t2951 () (tptp.hAPP @t2923 @t226)) % 54.38/54.67 (define @t2952 () (tptp.hAPP @t2951 @t230)) % 54.38/54.67 (define @t2953 () (tptp.hBOOL (tptp.hAPP @t2952 @t125))) % 54.38/54.67 (define @t2954 () (@list @t125 @t230 @t226 @t17)) % 54.38/54.67 (define @t2955 () (not @t2949)) % 54.38/54.67 (define @t2956 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2423)) % 54.38/54.67 (define @t2957 () (tptp.hAPP @t2956 @t226)) % 54.38/54.67 (define @t2958 () (tptp.hAPP @t2957 @t230)) % 54.38/54.67 (define @t2959 () (@list @t230 @t226 @t2 @t17 @t67)) % 54.38/54.67 (define @t2960 () (tptp.hAPP @t1227 @t563)) % 54.38/54.67 (define @t2961 () (tptp.hAPP @t1222 @t563)) % 54.38/54.67 (define @t2962 () (tptp.hAPP @t2923 @t230)) % 54.38/54.67 (define @t2963 () (tptp.hAPP @t2962 @t226)) % 54.38/54.67 (define @t2964 () (tptp.hAPP @t1227 @t226)) % 54.38/54.67 (define @t2965 () (@list @t226 @t230 @t17)) % 54.38/54.67 (define @t2966 () (tptp.hAPP @t2951 @t2964)) % 54.38/54.67 (define @t2967 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t17)) % 54.38/54.67 (define @t2968 () (tptp.class_Lattices_Osemilattice__sup @t17)) % 54.38/54.67 (define @t2969 () (tptp.hAPP @t2951 @t563)) % 54.38/54.67 (define @t2970 () (tptp.hAPP @t2962 @t563)) % 54.38/54.67 (define @t2971 () (tptp.hAPP @t2951 @t2970)) % 54.38/54.67 (define @t2972 () (tptp.hBOOL (tptp.hAPP @t2421 @t2952))) % 54.38/54.67 (define @t2973 () (@list @t111 @t230 @t226 @t17)) % 54.38/54.67 (define @t2974 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t10)) % 54.38/54.67 (define @t2975 () (tptp.hAPP @t2974 @t149)) % 54.38/54.67 (define @t2976 () (tptp.class_Lattices_Osemilattice__sup @t10)) % 54.38/54.67 (define @t2977 () (tptp.hAPP @t2974 @t28)) % 54.38/54.67 (define @t2978 () (= (tptp.hAPP @t2977 @t28) @t28)) % 54.38/54.67 (define @t2979 () (tptp.hAPP @t2974 @t153)) % 54.38/54.67 (define @t2980 () (tptp.hAPP @t2975 @t153)) % 54.38/54.67 (define @t2981 () (tptp.hAPP @t2974 @t27)) % 54.38/54.67 (define @t2982 () (tptp.hAPP @t2981 @t28)) % 54.38/54.67 (define @t2983 () (tptp.hAPP @t2977 @t27)) % 54.38/54.67 (define @t2984 () (= @t2983 @t2982)) % 54.38/54.67 (define @t2985 () (tptp.class_Lattices_Olattice @t10)) % 54.38/54.67 (define @t2986 () (= (tptp.hAPP @t2977 @t2983) @t2983)) % 54.38/54.67 (define @t2987 () (tptp.hAPP @t2975 (tptp.hAPP @t2979 @t150))) % 54.38/54.67 (define @t2988 () (tptp.hAPP @t2977 @t134)) % 54.38/54.67 (define @t2989 () (tptp.hAPP @t2981 @t134)) % 54.38/54.67 (define @t2990 () (tptp.hAPP @t2977 @t2989)) % 54.38/54.67 (define @t2991 () (= @t2990 (tptp.hAPP @t2981 @t2988))) % 54.38/54.67 (define @t2992 () (= (tptp.hAPP (tptp.hAPP @t2974 @t2983) @t134) @t2990)) % 54.38/54.67 (define @t2993 () (tptp.class_Lattices_Olattice @t17)) % 54.38/54.67 (define @t2994 () (@list @t125 @t1 @t2 @t67 @t17)) % 54.38/54.67 (define @t2995 () (tptp.hAPP @t75 @t2980)) % 54.38/54.67 (define @t2996 () (tptp.hBOOL (tptp.hAPP @t2995 @t28))) % 54.38/54.67 (define @t2997 () (tptp.hBOOL (tptp.hAPP @t76 @t2980))) % 54.38/54.67 (define @t2998 () (tptp.hAPP @t2967 @t125)) % 54.38/54.67 (define @t2999 () (tptp.hAPP @t2998 @t176)) % 54.38/54.67 (define @t3000 () (tptp.hBOOL (tptp.hAPP @t122 @t2983))) % 54.38/54.67 (define @t3001 () (tptp.hBOOL (tptp.hAPP @t76 @t2983))) % 54.38/54.67 (define @t3002 () (= @t2952 @t230)) % 54.38/54.67 (define @t3003 () (tptp.hAPP @t232 @t2952)) % 54.38/54.67 (define @t3004 () (@list @t230 @t563 @t226 @t17)) % 54.38/54.67 (define @t3005 () (tptp.hAPP @t2923 @t563)) % 54.38/54.67 (define @t3006 () (tptp.hBOOL (tptp.hAPP @t500 @t1225))) % 54.38/54.67 (define @t3007 () (@list @t1225 @t230 @t563 @t226 @t17)) % 54.38/54.67 (define @t3008 () (tptp.hAPP @t2 @t230)) % 54.38/54.67 (define @t3009 () (tptp.hAPP @t2 @t226)) % 54.38/54.67 (define @t3010 () (tptp.c_Orderings_Oorder__class_Omono @t231 @t2423 @t2)) % 54.38/54.67 (define @t3011 () (tptp.hBOOL (tptp.hAPP @t117 @t2980))) % 54.38/54.67 (define @t3012 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2130)) % 54.38/54.67 (define @t3013 () (tptp.hAPP (tptp.hAPP @t3012 @t226) @t230)) % 54.38/54.67 (define @t3014 () (tptp.hAPP @t1938 @t563)) % 54.38/54.67 (define @t3015 () (tptp.hAPP @t3014 @t230)) % 54.38/54.67 (define @t3016 () (tptp.hAPP @t2951 @t3015)) % 54.38/54.67 (define @t3017 () (tptp.c_COMBB @t231 @t231 @t67)) % 54.38/54.67 (define @t3018 () (tptp.hAPP @t3014 (tptp.hAPP (tptp.hAPP @t3017 @t2951) @t230))) % 54.38/54.67 (define @t3019 () (@list @t230 @t226 @t563 @t17 @t67)) % 54.38/54.67 (define @t3020 () (tptp.hAPP (tptp.hAPP @t2923 (tptp.hAPP @t3014 @t226)) @t230)) % 54.38/54.67 (define @t3021 () (tptp.tc_fun @t231 @t231)) % 54.38/54.67 (define @t3022 () (tptp.c_COMBB @t231 @t3021 @t67)) % 54.38/54.67 (define @t3023 () (tptp.hAPP (tptp.hAPP @t3022 @t2923) @t226)) % 54.38/54.67 (define @t3024 () (tptp.c_COMBC @t67 @t231 @t231)) % 54.38/54.67 (define @t3025 () (tptp.hAPP @t3014 (tptp.hAPP (tptp.hAPP @t3024 @t3023) @t230))) % 54.38/54.67 (define @t3026 () (@list @t230 @t563 @t67 @t226 @t17)) % 54.38/54.67 (define @t3027 () (@list @t230 @t226 @t563 @t67 @t17)) % 54.38/54.67 (define @t3028 () (tptp.c_COMBB @t231 @t231 @t1945)) % 54.38/54.67 (define @t3029 () (tptp.tc_fun @t1945 @t231)) % 54.38/54.67 (define @t3030 () (tptp.hAPP (tptp.c_COMBB @t3021 (tptp.tc_fun @t3029 @t3029) @t67) @t3028)) % 54.38/54.67 (define @t3031 () (tptp.c_COMBC @t67 @t3029 @t3029)) % 54.38/54.67 (define @t3032 () (@var "V_J_2" $$unsorted)) % 54.38/54.67 (define @t3033 () (tptp.hAPP @t2839 @t3032)) % 54.38/54.67 (define @t3034 () (tptp.c_COMBB @t3029 @t231 @t67)) % 54.38/54.67 (define @t3035 () (@list @t230 @t3032 @t1945 @t226 @t1936 @t67 @t17)) % 54.38/54.67 (define @t3036 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t67)) % 54.38/54.67 (define @t3037 () (tptp.hAPP @t128 (tptp.hAPP (tptp.hAPP @t3036 @t3009) @t3008))) % 54.38/54.67 (define @t3038 () (tptp.class_Lattices_Osemilattice__sup @t67)) % 54.38/54.67 (define @t3039 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t17 @t86) @t952)) % 54.38/54.67 (define @t3040 () (tptp.hAPP @t2929 @t86)) % 54.38/54.67 (define @t3041 () (tptp.hAPP @t2923 @t3040)) % 54.38/54.67 (define @t3042 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1986)) % 54.38/54.67 (define @t3043 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t17 @t86 @t952)) % 54.38/54.67 (define @t3044 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t17 @t1045 @t86)) % 54.38/54.67 (define @t3045 () (tptp.hAPP @t2923 @t3044)) % 54.38/54.67 (define @t3046 () (tptp.hAPP @t2923 @t1220)) % 54.38/54.67 (define @t3047 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t1045 @t952)) % 54.38/54.67 (define @t3048 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t1045 @t952)) % 54.38/54.67 (define @t3049 () (tptp.hAPP @t2685 @t952)) % 54.38/54.67 (define @t3050 () (tptp.hAPP @t2685 @t1045)) % 54.38/54.67 (define @t3051 () (tptp.hAPP @t2923 @t3050)) % 54.38/54.67 (define @t3052 () (tptp.hBOOL (tptp.hAPP @t2935 @t952))) % 54.38/54.67 (define @t3053 () (@list @t952 @t1045 @t17)) % 54.38/54.67 (define @t3054 () (tptp.hAPP @t2903 @t952)) % 54.38/54.67 (define @t3055 () (tptp.hAPP @t2903 @t1045)) % 54.38/54.67 (define @t3056 () (tptp.hAPP @t2923 @t3055)) % 54.38/54.67 (define @t3057 () (tptp.hAPP @t2865 @t1045)) % 54.38/54.67 (define @t3058 () (tptp.hAPP @t2865 @t952)) % 54.38/54.67 (define @t3059 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t17 @t1045 @t952)) % 54.38/54.67 (define @t3060 () (tptp.hBOOL (tptp.hAPP @t2926 @t952))) % 54.38/54.67 (define @t3061 () (tptp.c_SetInterval_Oord__class_OatLeast @t17)) % 54.38/54.67 (define @t3062 () (tptp.hAPP @t3061 @t952)) % 54.38/54.67 (define @t3063 () (tptp.hAPP @t2923 @t3059)) % 54.38/54.67 (define @t3064 () (tptp.hAPP @t3061 @t1045)) % 54.38/54.67 (define @t3065 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t231)) % 54.38/54.67 (define @t3066 () (tptp.hAPP @t3065 @t2901)) % 54.38/54.67 (define @t3067 () (@var "V_X_2" $$unsorted)) % 54.38/54.67 (define @t3068 () (tptp.c_COMBB @t2423 @t2483 @t17)) % 54.38/54.67 (define @t3069 () (tptp.hAPP @t3068 @t2956)) % 54.38/54.67 (define @t3070 () (@var "V_Y_2" $$unsorted)) % 54.38/54.67 (define @t3071 () (@list @t3070 @t17)) % 54.38/54.67 (define @t3072 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t17 @t2423)) % 54.38/54.67 (define @t3073 () (tptp.hAPP @t3072 @t226)) % 54.38/54.67 (define @t3074 () (tptp.hAPP @t3073 @t230)) % 54.38/54.67 (define @t3075 () (tptp.hBOOL (tptp.hAPP @t3074 @t346))) % 54.38/54.67 (define @t3076 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t67 @t17)) % 54.38/54.67 (define @t3077 () (tptp.hAPP @t3076 @t226)) % 54.38/54.67 (define @t3078 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t67 @t231)) % 54.38/54.67 (define @t3079 () (tptp.tc_fun @t67 @t231)) % 54.38/54.67 (define @t3080 () (tptp.c_COMBB @t2423 (tptp.tc_fun @t3079 @t231) @t1945)) % 54.38/54.67 (define @t3081 () (tptp.c_COMBC @t1945 @t3079 @t231)) % 54.38/54.67 (define @t3082 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1945 @t231)) % 54.38/54.67 (define @t3083 () (tptp.hAPP @t3082 @t226)) % 54.38/54.67 (define @t3084 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1945 @t2423) @t226) @t230)) % 54.38/54.67 (define @t3085 () (@list @t563 @t230 @t226 @t1945 @t17 @t67)) % 54.38/54.67 (define @t3086 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t67 @t2187)) % 54.38/54.67 (define @t3087 () (tptp.hAPP (tptp.hAPP @t3086 @t226) @t230)) % 54.38/54.67 (define @t3088 () (tptp.c_COMBB @t2187 (tptp.tc_fun @t3029 @t231) @t67)) % 54.38/54.67 (define @t3089 () (tptp.c_COMBC @t67 @t3029 @t231)) % 54.38/54.67 (define @t3090 () (tptp.hAPP @t3078 @t226)) % 54.38/54.67 (define @t3091 () (@list @t563 @t230 @t1945 @t226 @t17 @t67)) % 54.38/54.67 (define @t3092 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1945 @t17) @t230)) % 54.38/54.67 (define @t3093 () (tptp.hAPP @t2420 @t2785)) % 54.38/54.67 (define @t3094 () (tptp.hAPP @t3090 @t230)) % 54.38/54.67 (define @t3095 () (tptp.hAPP @t3061 @t176)) % 54.38/54.67 (define @t3096 () (tptp.hAPP @t3061 @t125)) % 54.38/54.67 (define @t3097 () (tptp.hAPP @t3078 @t1936)) % 54.38/54.67 (define @t3098 () (tptp.hAPP @t3097 @t226)) % 54.38/54.67 (define @t3099 () (@list @t230 @t226 @t1936 @t67 @t17)) % 54.38/54.67 (define @t3100 () (tptp.c_COMBB @t2423 @t231 @t1945)) % 54.38/54.67 (define @t3101 () (tptp.hAPP @t3082 @t2843)) % 54.38/54.67 (define @t3102 () (tptp.hAPP @t3078 @t230)) % 54.38/54.67 (define @t3103 () (@list @t1942 @t230 @t226 @t17 @t67)) % 54.38/54.67 (define @t3104 () (tptp.c_COMBS @t67 @t231 @t231)) % 54.38/54.67 (define @t3105 () (tptp.hAPP (tptp.hAPP @t3104 @t3023) @t230)) % 54.38/54.67 (define @t3106 () (@list @t230 @t226 @t1936 @t17 @t67)) % 54.38/54.67 (define @t3107 () (tptp.hAPP @t3078 @t563)) % 54.38/54.67 (define @t3108 () (tptp.hAPP @t3107 (tptp.hAPP (tptp.hAPP @t3024 (tptp.hAPP (tptp.hAPP @t3022 @t1221) @t226)) @t230))) % 54.38/54.67 (define @t3109 () (tptp.hAPP @t3107 @t226)) % 54.38/54.67 (define @t3110 () (tptp.hAPP (tptp.hAPP @t1221 @t3109) @t230)) % 54.38/54.67 (define @t3111 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t3112 () (tptp.hAPP @t3111 @t359)) % 54.38/54.67 (define @t3113 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t3114 () (tptp.hAPP @t3113 @t373)) % 54.38/54.67 (define @t3115 () (tptp.hAPP @t1222 @t3015)) % 54.38/54.67 (define @t3116 () (tptp.hAPP @t3107 (tptp.hAPP (tptp.hAPP @t3017 @t1222) @t230))) % 54.38/54.67 (define @t3117 () (tptp.hAPP (tptp.hAPP @t3017 @t1218) @t230)) % 54.38/54.67 (define @t3118 () (@list @t230 @t226 @t67 @t17)) % 54.38/54.67 (define @t3119 () (tptp.hAPP @t2845 @t230)) % 54.38/54.67 (define @t3120 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t17 @t67)) % 54.38/54.67 (define @t3121 () (tptp.hAPP @t3120 @t226)) % 54.38/54.67 (define @t3122 () (tptp.hAPP @t3121 @t2)) % 54.38/54.67 (define @t3123 () (tptp.hAPP @t3061 @t359)) % 54.38/54.67 (define @t3124 () (tptp.hAPP @t2685 @t359)) % 54.38/54.67 (define @t3125 () (tptp.hAPP @t2923 @t2930)) % 54.38/54.67 (define @t3126 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t3127 () (tptp.hAPP @t3126 @t56)) % 54.38/54.67 (define @t3128 () (tptp.hAPP @t2754 @t230)) % 54.38/54.67 (define @t3129 () (tptp.hAPP @t740 @t2755)) % 54.38/54.67 (define @t3130 () (tptp.c_Finite__Set_Ofinite @t17)) % 54.38/54.67 (define @t3131 () (tptp.hBOOL (tptp.hAPP @t3130 @t230))) % 54.38/54.67 (define @t3132 () (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t17 @t2)) % 54.38/54.67 (define @t3133 () (tptp.hAPP @t49 @t3067)) % 54.38/54.67 (define @t3134 () (tptp.hBOOL (tptp.hAPP @t3133 @t3132))) % 54.38/54.67 (define @t3135 () (tptp.hAPP @t2967 @t3067)) % 54.38/54.67 (define @t3136 () (tptp.hAPP @t3135 @t3132)) % 54.38/54.67 (define @t3137 () (tptp.hAPP @t2 @t3136)) % 54.38/54.67 (define @t3138 () (tptp.hBOOL (tptp.hAPP @t3133 @t3137))) % 54.38/54.67 (define @t3139 () (tptp.c_Orderings_Oorder__class_Omono @t17 @t17 @t2)) % 54.38/54.67 (define @t3140 () (@list @t2 @t3067 @t17)) % 54.38/54.67 (define @t3141 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t3142 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 54.38/54.67 (define @t3143 () (tptp.hAPP @t2657 @t359)) % 54.38/54.67 (define @t3144 () (tptp.c_Set_Oinsert @t17)) % 54.38/54.67 (define @t3145 () (tptp.hAPP @t3144 @t36)) % 54.38/54.67 (define @t3146 () (tptp.hAPP @t3145 @t230)) % 54.38/54.67 (define @t3147 () (@list @t230 @t36 @t226 @t17)) % 54.38/54.67 (define @t3148 () (tptp.c_Set_Oinsert @t67)) % 54.38/54.67 (define @t3149 () (tptp.hAPP @t3148 @t36)) % 54.38/54.67 (define @t3150 () (tptp.hAPP @t3149 @t230)) % 54.38/54.67 (define @t3151 () (@var "V_N_2" $$unsorted)) % 54.38/54.67 (define @t3152 () (tptp.hBOOL (tptp.hAPP @t2772 @t3151))) % 54.38/54.67 (define @t3153 () (tptp.hBOOL (tptp.hAPP @t3141 @t3151))) % 54.38/54.67 (define @t3154 () (@list @t3151)) % 54.38/54.67 (define @t3155 () (tptp.hAPP @t3144 @t125)) % 54.38/54.67 (define @t3156 () (tptp.hAPP @t3155 @t226)) % 54.38/54.67 (define @t3157 () (@list @t226 @t125 @t17)) % 54.38/54.67 (define @t3158 () (tptp.hAPP @t3144 @t176)) % 54.38/54.67 (define @t3159 () (tptp.hAPP @t3158 @t226)) % 54.38/54.67 (define @t3160 () (@list @t226 @t176 @t125 @t17)) % 54.38/54.67 (define @t3161 () (= @t176 @t125)) % 54.38/54.67 (define @t3162 () (tptp.hAPP @t3144 @t346)) % 54.38/54.67 (define @t3163 () (tptp.hAPP @t3162 @t230)) % 54.38/54.67 (define @t3164 () (tptp.hAPP @t232 @t563)) % 54.38/54.67 (define @t3165 () (tptp.hAPP @t3145 @t3015)) % 54.38/54.67 (define @t3166 () (tptp.hAPP @t3014 (tptp.hAPP (tptp.hAPP @t3017 @t3145) @t230))) % 54.38/54.67 (define @t3167 () (tptp.hAPP @t2 @t3067)) % 54.38/54.67 (define @t3168 () (tptp.hAPP @t2 @t3132)) % 54.38/54.67 (define @t3169 () (= @t226 @t3132)) % 54.38/54.67 (define @t3170 () (tptp.c_Groups_Ozero__class_Ozero @t67)) % 54.38/54.67 (define @t3171 () (tptp.hAPP @t2860 @t226)) % 54.38/54.67 (define @t3172 () (tptp.hBOOL (tptp.hAPP @t3130 @t226))) % 54.38/54.67 (define @t3173 () (not @t3172)) % 54.38/54.67 (define @t3174 () (@list @t2 @t226 @t17 @t67)) % 54.38/54.67 (define @t3175 () (tptp.hAPP @t2859 @t226)) % 54.38/54.67 (define @t3176 () (=> @t3173 (= @t3175 @t3170))) % 54.38/54.67 (define @t3177 () (@list @t1 @t226 @t17 @t67)) % 54.38/54.67 (define @t3178 () (tptp.hAPP @t3126 @t359)) % 54.38/54.67 (define @t3179 () (tptp.hAPP @t3126 @t373)) % 54.38/54.67 (define @t3180 () (@var "V_F_2" $$unsorted)) % 54.38/54.67 (define @t3181 () (tptp.hBOOL (tptp.hAPP @t2421 @t3180))) % 54.38/54.67 (define @t3182 () (tptp.hBOOL (tptp.hAPP @t3130 @t3180))) % 54.38/54.67 (define @t3183 () (@list @t2 @t3180 @t17)) % 54.38/54.67 (define @t3184 () (tptp.hAPP @t230 @t36)) % 54.38/54.67 (define @t3185 () (tptp.hAPP @t3149 @t226)) % 54.38/54.67 (define @t3186 () (@list @t230 @t226 @t36 @t17 @t67)) % 54.38/54.67 (define @t3187 () (tptp.c_Groups_Oplus__class_Oplus @t67)) % 54.38/54.67 (define @t3188 () (tptp.hAPP @t3187 @t3175)) % 54.38/54.67 (define @t3189 () (tptp.tc_fun @t67 @t67)) % 54.38/54.67 (define @t3190 () (tptp.c_COMBB @t67 @t3189 @t17)) % 54.38/54.67 (define @t3191 () (tptp.c_COMBS @t17 @t67 @t67)) % 54.38/54.67 (define @t3192 () (@list @t53 @t1 @t226 @t17 @t67)) % 54.38/54.67 (define @t3193 () (tptp.hAPP @t2 @t2785)) % 54.38/54.67 (define @t3194 () (= @t3 @t2785)) % 54.38/54.67 (define @t3195 () (not @t3194)) % 54.38/54.67 (define @t3196 () (tptp.hBOOL (tptp.hAPP @t3093 @t226))) % 54.38/54.67 (define @t3197 () (forall @t2793 (=> @t3196 (=> @t3195 (= @t3193 @t56))))) % 54.38/54.67 (define @t3198 () (= @t5 @t663)) % 54.38/54.67 (define @t3199 () (tptp.hAPP @t2860 @t230)) % 54.38/54.67 (define @t3200 () (tptp.c_Groups_Ominus__class_Ominus @t67)) % 54.38/54.67 (define @t3201 () (tptp.hAPP @t3200 @t3171)) % 54.38/54.67 (define @t3202 () (tptp.class_Groups_Oab__group__add @t67)) % 54.38/54.67 (define @t3203 () (tptp.hAPP (tptp.hAPP @t2424 @t1936) @t226)) % 54.38/54.67 (define @t3204 () (tptp.c_Finite__Set_Ofinite @t67)) % 54.38/54.67 (define @t3205 () (tptp.hAPP @t2880 @t230)) % 54.38/54.67 (define @t3206 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t2881) @t3205))) % 54.38/54.67 (define @t3207 () (tptp.hAPP @t2880 @t1223)) % 54.38/54.67 (define @t3208 () (tptp.hAPP @t740 @t2881)) % 54.38/54.67 (define @t3209 () (tptp.hAPP @t3208 @t3205)) % 54.38/54.67 (define @t3210 () (tptp.hAPP @t3145 @t226)) % 54.38/54.67 (define @t3211 () (tptp.hBOOL (tptp.hAPP @t3130 @t3210))) % 54.38/54.67 (define @t3212 () (@list @t36 @t226 @t17)) % 54.38/54.67 (define @t3213 () (tptp.c_Set_Oimage @t17 @t67 @t53)) % 54.38/54.67 (define @t3214 () (@list @t53 @t67 @t3180 @t17)) % 54.38/54.67 (define @t3215 () (tptp.hBOOL (tptp.hAPP @t3130 @t1223))) % 54.38/54.67 (define @t3216 () (tptp.class_Finite__Set_Ofinite @t17)) % 54.38/54.67 (define @t3217 () (@list @t226 @t36 @t17)) % 54.38/54.67 (define @t3218 () (tptp.hBOOL (tptp.hAPP @t3130 @t21))) % 54.38/54.67 (define @t3219 () (tptp.hBOOL (tptp.hAPP @t3130 (tptp.hAPP (tptp.hAPP @t2923 @t3180) @t21)))) % 54.38/54.67 (define @t3220 () (@list @t21 @t3180 @t17)) % 54.38/54.67 (define @t3221 () (forall @t7 (=> @t2422 (tptp.hBOOL (tptp.hAPP @t3204 @t2417))))) % 54.38/54.67 (define @t3222 () (tptp.hBOOL (tptp.hAPP @t3204 @t3074))) % 54.38/54.67 (define @t3223 () (@list @t230 @t67 @t226 @t17)) % 54.38/54.67 (define @t3224 () (tptp.hBOOL (tptp.hAPP @t3204 @t230))) % 54.38/54.67 (define @t3225 () (tptp.hAPP @t2820 @t230)) % 54.38/54.67 (define @t3226 () (tptp.hBOOL (tptp.hAPP @t3225 @t2819))) % 54.38/54.67 (define @t3227 () (tptp.hAPP @t1222 @t3146)) % 54.38/54.67 (define @t3228 () (= @t2881 @t56)) % 54.38/54.67 (define @t3229 () (=> @t3173 @t3228)) % 54.38/54.67 (define @t3230 () (tptp.hBOOL (tptp.hAPP @t81 @t2881))) % 54.38/54.67 (define @t3231 () (tptp.hAPP @t2880 @t3156)) % 54.38/54.67 (define @t3232 () (tptp.hAPP @t79 @t2881)) % 54.38/54.67 (define @t3233 () (@list @t125 @t226 @t17)) % 54.38/54.67 (define @t3234 () (tptp.hAPP @t2886 @t2819)) % 54.38/54.67 (define @t3235 () (@list @t2 @t67 @t226 @t17)) % 54.38/54.67 (define @t3236 () (tptp.c_Orderings_Obot__class_Obot @t1986)) % 54.38/54.67 (define @t3237 () (tptp.hAPP @t2334 @t740)) % 54.38/54.67 (define @t3238 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3237 @t55)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t125) @t176))) % 54.38/54.67 (define @t3239 () (tptp.hAPP @t3127 @t3236)) % 54.38/54.67 (define @t3240 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t55) @t176))) % 54.38/54.67 (define @t3241 () (tptp.hAPP @t128 @t3171)) % 54.38/54.67 (define @t3242 () (tptp.hBOOL (tptp.hAPP @t3241 @t3199))) % 54.38/54.67 (define @t3243 () (tptp.hAPP @t128 @t3170)) % 54.38/54.67 (define @t3244 () (tptp.hBOOL (tptp.hAPP @t3243 @t5))) % 54.38/54.67 (define @t3245 () (tptp.class_Groups_Oordered__ab__semigroup__add @t67)) % 54.38/54.67 (define @t3246 () (@list @t2 @t226 @t230 @t17 @t67)) % 54.38/54.67 (define @t3247 () (tptp.c_Sum__Type_OPlus @t17 @t67 @t226 @t230)) % 54.38/54.67 (define @t3248 () (tptp.tc_sum @t17 @t67)) % 54.38/54.67 (define @t3249 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t3248) @t3247)) % 54.38/54.67 (define @t3250 () (and @t3172 @t3224)) % 54.38/54.67 (define @t3251 () (tptp.hAPP @t2886 @t230)) % 54.38/54.67 (define @t3252 () (tptp.hAPP @t760 @t2881)) % 54.38/54.67 (define @t3253 () (= @t3249 (tptp.hAPP @t3252 @t3251))) % 54.38/54.67 (define @t3254 () (tptp.c_Orderings_Obot__class_Obot @t231)) % 54.38/54.67 (define @t3255 () (tptp.hAPP @t3155 @t3254)) % 54.38/54.67 (define @t3256 () (tptp.hAPP @t1222 @t3255)) % 54.38/54.67 (define @t3257 () (tptp.hAPP @t2880 @t3256)) % 54.38/54.67 (define @t3258 () (tptp.hAPP @t1061 @t3257)) % 54.38/54.67 (define @t3259 () (tptp.hAPP @t3144 @t55)) % 54.38/54.67 (define @t3260 () (tptp.hAPP @t3162 @t3254)) % 54.38/54.67 (define @t3261 () (tptp.hAPP @t3145 @t3260)) % 54.38/54.67 (define @t3262 () (tptp.hAPP @t3145 @t3254)) % 54.38/54.67 (define @t3263 () (tptp.c_Orderings_Obot__class_Obot @t2130)) % 54.38/54.67 (define @t3264 () (= @t226 @t3254)) % 54.38/54.67 (define @t3265 () (tptp.c_Orderings_Obot__class_Obot @t2423)) % 54.38/54.67 (define @t3266 () (= @t226 @t3265)) % 54.38/54.67 (define @t3267 () (@list @t226 @t2 @t17 @t67)) % 54.38/54.67 (define @t3268 () (tptp.hBOOL (tptp.hAPP @t2421 @t3254))) % 54.38/54.67 (define @t3269 () (tptp.c_Orderings_Obot__class_Obot @t17)) % 54.38/54.67 (define @t3270 () (@list @t125 @t67 @t17)) % 54.38/54.67 (define @t3271 () (= @t230 @t3254)) % 54.38/54.67 (define @t3272 () (@list @t230 @t17)) % 54.38/54.67 (define @t3273 () (tptp.c_Orderings_Obot__class_Obot @t10)) % 54.38/54.67 (define @t3274 () (tptp.c_COMBK @t67 @t17)) % 54.38/54.67 (define @t3275 () (tptp.hAPP @t3274 @t1942)) % 54.38/54.67 (define @t3276 () (not @t3264)) % 54.38/54.67 (define @t3277 () (@list @t1942 @t17 @t226 @t67)) % 54.38/54.67 (define @t3278 () (forall @t7 (=> @t1930 (= @t2417 @t3254)))) % 54.38/54.67 (define @t3279 () (tptp.c_COMBK @t231 @t67)) % 54.38/54.67 (define @t3280 () (tptp.c_COMBK @t2423 @t17)) % 54.38/54.67 (define @t3281 () (tptp.hAPP @t3280 @t55)) % 54.38/54.67 (define @t3282 () (tptp.hAPP @t3073 @t3281)) % 54.38/54.67 (define @t3283 () (@list @t55 @t67 @t17 @t226)) % 54.38/54.67 (define @t3284 () (@list @t230 @t226 @t17 @t67)) % 54.38/54.67 (define @t3285 () (tptp.class_Lattices_Obounded__lattice__bot @t10)) % 54.38/54.67 (define @t3286 () (tptp.c_Finite__Set_Ofinite @t3248)) % 54.38/54.67 (define @t3287 () (tptp.hBOOL (tptp.hAPP @t3286 @t3247))) % 54.38/54.67 (define @t3288 () (@list @t2 @t67 @t17)) % 54.38/54.67 (define @t3289 () (@list @t1 @t67 @t17)) % 54.38/54.67 (define @t3290 () (= @t2739 @t3254)) % 54.38/54.67 (define @t3291 () (tptp.hAPP @t1222 @t3262)) % 54.38/54.67 (define @t3292 () (tptp.hAPP @t3145 @t3291)) % 54.38/54.67 (define @t3293 () (= @t2730 @t3254)) % 54.38/54.67 (define @t3294 () (not @t417)) % 54.38/54.67 (define @t3295 () (and @t865 @t874)) % 54.38/54.67 (define @t3296 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t17 @t359 @t1045)) % 54.38/54.67 (define @t3297 () (= @t3296 @t3254)) % 54.38/54.67 (define @t3298 () (tptp.hBOOL (tptp.hAPP @t2935 @t359))) % 54.38/54.67 (define @t3299 () (@list @t359 @t1045 @t17)) % 54.38/54.67 (define @t3300 () (tptp.hAPP @t185 @t359)) % 54.38/54.67 (define @t3301 () (not (tptp.hBOOL (tptp.hAPP @t3300 @t1045)))) % 54.38/54.67 (define @t3302 () (@list @t1045 @t359 @t17)) % 54.38/54.67 (define @t3303 () (tptp.hAPP (tptp.c_Set_Oimage @t17 @t67 (tptp.hAPP @t3274 @t55)) @t226)) % 54.38/54.67 (define @t3304 () (= @t3303 (tptp.hAPP (tptp.hAPP @t3148 @t55) @t3265))) % 54.38/54.67 (define @t3305 () (tptp.c_COMBB @t2423 @t2423 @t17)) % 54.38/54.67 (define @t3306 () (tptp.hAPP (tptp.hAPP @t3305 @t3149) @t230)) % 54.38/54.67 (define @t3307 () (tptp.hAPP @t3072 @t563)) % 54.38/54.67 (define @t3308 () (tptp.hAPP @t3307 @t3306)) % 54.38/54.67 (define @t3309 () (tptp.hAPP @t3307 @t230)) % 54.38/54.67 (define @t3310 () (tptp.hAPP @t3149 @t3309)) % 54.38/54.67 (define @t3311 () (= @t563 @t3254)) % 54.38/54.67 (define @t3312 () (not @t3311)) % 54.38/54.67 (define @t3313 () (tptp.hAPP @t3149 @t3265)) % 54.38/54.67 (define @t3314 () (@list @t230 @t36 @t67 @t17 @t563)) % 54.38/54.67 (define @t3315 () (tptp.c_COMBC @t17 @t231 @t231)) % 54.38/54.67 (define @t3316 () (tptp.hAPP (tptp.hAPP @t3315 @t3144) @t3254)) % 54.38/54.67 (define @t3317 () (= @t2945 @t3236)) % 54.38/54.67 (define @t3318 () (tptp.hBOOL (tptp.hAPP @t2938 @t36))) % 54.38/54.67 (define @t3319 () (tptp.hAPP @t3069 @t226)) % 54.38/54.67 (define @t3320 () (tptp.hAPP @t3307 (tptp.hAPP (tptp.hAPP @t2485 @t3319) @t230))) % 54.38/54.67 (define @t3321 () (tptp.hAPP (tptp.hAPP @t2956 (tptp.hAPP @t3307 @t226)) @t230)) % 54.38/54.67 (define @t3322 () (@list @t230 @t226 @t67 @t17 @t563)) % 54.38/54.67 (define @t3323 () (tptp.hAPP @t3307 (tptp.hAPP (tptp.hAPP @t3305 @t2957) @t230))) % 54.38/54.67 (define @t3324 () (tptp.hAPP @t2957 @t3309)) % 54.38/54.67 (define @t3325 () (tptp.hAPP (tptp.hAPP @t3144 @t359) @t3254)) % 54.38/54.67 (define @t3326 () (tptp.hAPP @t2424 @t563)) % 54.38/54.67 (define @t3327 () (tptp.hAPP @t3326 (tptp.hAPP (tptp.hAPP @t3305 @t2848) @t230))) % 54.38/54.67 (define @t3328 () (tptp.hAPP @t2848 @t3309)) % 54.38/54.67 (define @t3329 () (tptp.hAPP (tptp.hAPP @t3126 @t36) @t3236)) % 54.38/54.67 (define @t3330 () (tptp.c_Groups_Ominus__class_Ominus @t1986)) % 54.38/54.67 (define @t3331 () (tptp.hAPP (tptp.hAPP @t745 @t31) @t661)) % 54.38/54.67 (define @t3332 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t31 @t759)) % 54.38/54.67 (define @t3333 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t759) @t31))) % 54.38/54.67 (define @t3334 () (tptp.hAPP (tptp.hAPP @t3144 @t952) @t3254)) % 54.38/54.67 (define @t3335 () (tptp.hAPP @t2923 (tptp.hAPP (tptp.hAPP @t3144 @t1045) @t3254))) % 54.38/54.67 (define @t3336 () (tptp.hAPP @t3187 @t126)) % 54.38/54.67 (define @t3337 () (tptp.hAPP @t3336 (tptp.hAPP @t2859 @t3256))) % 54.38/54.67 (define @t3338 () (tptp.hAPP @t2859 @t3156)) % 54.38/54.67 (define @t3339 () (@list @t125 @t1 @t226 @t17 @t67)) % 54.38/54.67 (define @t3340 () (tptp.hAPP tptp.c_Nat_OSuc @t3257)) % 54.38/54.67 (define @t3341 () (tptp.c_COMBB @t231 tptp.tc_HOL_Obool @t17)) % 54.38/54.67 (define @t3342 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t1045) @t359))) % 54.38/54.67 (define @t3343 () (@list @t359 @t1045)) % 54.38/54.67 (define @t3344 () (= @t230 @t3265)) % 54.38/54.67 (define @t3345 () (tptp.tc_fun @t3248 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t3346 () (tptp.tc_fun tptp.tc_Nat_Onat @t2628)) % 54.38/54.67 (define @t3347 () (tptp.tc_fun tptp.tc_Nat_Onat @t1986)) % 54.38/54.67 (define @t3348 () (tptp.hAPP tptp.c_Int_ORep__Integ @t522)) % 54.38/54.67 (define @t3349 () (tptp.hAPP @t2420 @t125)) % 54.38/54.67 (define @t3350 () (tptp.hBOOL (tptp.hAPP @t3349 @t226))) % 54.38/54.67 (define @t3351 () (=> @t3350 (= @t3257 (tptp.hAPP @t3208 @t663)))) % 54.38/54.67 (define @t3352 () (not @t3350)) % 54.38/54.67 (define @t3353 () (tptp.hAPP @t3180 @t3256)) % 54.38/54.67 (define @t3354 () (tptp.hAPP @t127 @t3353)) % 54.38/54.67 (define @t3355 () (tptp.hAPP @t3180 @t3156)) % 54.38/54.67 (define @t3356 () (= @t3256 @t3254)) % 54.38/54.67 (define @t3357 () (not @t3356)) % 54.38/54.67 (define @t3358 () (tptp.c_Finite__Set_Ofolding__one @t17 @t2 @t3180)) % 54.38/54.67 (define @t3359 () (@list @t125 @t226 @t3180 @t2 @t17)) % 54.38/54.67 (define @t3360 () (tptp.hAPP @t2420 @t55)) % 54.38/54.67 (define @t3361 () (tptp.hBOOL (tptp.hAPP @t3360 @t230))) % 54.38/54.67 (define @t3362 () (tptp.hBOOL (tptp.hAPP @t3360 @t226))) % 54.38/54.67 (define @t3363 () (not @t3362)) % 54.38/54.67 (define @t3364 () (=> @t3363 @t3361)) % 54.38/54.67 (define @t3365 () (not @t3361)) % 54.38/54.67 (define @t3366 () (=> @t3362 @t3365)) % 54.38/54.67 (define @t3367 () (tptp.hAPP @t2420 @t36)) % 54.38/54.67 (define @t3368 () (tptp.hBOOL (tptp.hAPP @t3367 @t226))) % 54.38/54.67 (define @t3369 () (not @t3368)) % 54.38/54.67 (define @t3370 () (tptp.hAPP @t3184 @t346)) % 54.38/54.67 (define @t3371 () (tptp.hBOOL (tptp.hAPP @t3370 @t55))) % 54.38/54.67 (define @t3372 () (tptp.tc_fun @t67 @t2187)) % 54.38/54.67 (define @t3373 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t17 @t3372)) % 54.38/54.67 (define @t3374 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3373 @t226) @t230) @t346) @t55))) % 54.38/54.67 (define @t3375 () (@list @t36 @t55 @t346 @t230 @t226 @t1945 @t67 @t17)) % 54.38/54.67 (define @t3376 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t17 @t3372)) % 54.38/54.67 (define @t3377 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3376 @t226) @t230) @t346) @t55))) % 54.38/54.67 (define @t3378 () (tptp.hAPP @t3162 @t226)) % 54.38/54.67 (define @t3379 () (tptp.hBOOL (tptp.hAPP @t3367 @t3378))) % 54.38/54.67 (define @t3380 () (@list @t226 @t346 @t36 @t17)) % 54.38/54.67 (define @t3381 () (tptp.hBOOL (tptp.hAPP @t3367 @t3163))) % 54.38/54.67 (define @t3382 () (tptp.hBOOL (tptp.hAPP @t3367 @t230))) % 54.38/54.67 (define @t3383 () (not @t3382)) % 54.38/54.67 (define @t3384 () (@list @t346 @t230 @t36 @t17)) % 54.38/54.67 (define @t3385 () (=> @t3362 @t3361)) % 54.38/54.67 (define @t3386 () (@list @t55 @t230 @t226 @t17)) % 54.38/54.67 (define @t3387 () (tptp.hAPP @t2420 @t346)) % 54.38/54.67 (define @t3388 () (tptp.hAPP @t1928 @t125)) % 54.38/54.67 (define @t3389 () (tptp.hBOOL (tptp.hAPP @t3388 @t226))) % 54.38/54.67 (define @t3390 () (= @t346 @t127)) % 54.38/54.67 (define @t3391 () (tptp.hBOOL (tptp.hAPP @t3360 @t2952))) % 54.38/54.67 (define @t3392 () (@list @t230 @t226 @t55 @t17)) % 54.38/54.67 (define @t3393 () (@list @t226 @t230 @t55 @t17)) % 54.38/54.67 (define @t3394 () (tptp.hBOOL (tptp.hAPP @t3360 @t1223))) % 54.38/54.67 (define @t3395 () (tptp.hBOOL (tptp.hAPP @t3360 @t1220))) % 54.38/54.67 (define @t3396 () (@list @t226 @t55 @t17)) % 54.38/54.67 (define @t3397 () (tptp.hAPP @t1928 @t346)) % 54.38/54.67 (define @t3398 () (tptp.hBOOL (tptp.hAPP @t3397 @t3184))) % 54.38/54.67 (define @t3399 () (@list @t230 @t346 @t67 @t226 @t36 @t17)) % 54.38/54.67 (define @t3400 () (tptp.hBOOL @t3370)) % 54.38/54.67 (define @t3401 () (@list @t36 @t346 @t230 @t226 @t67 @t17)) % 54.38/54.67 (define @t3402 () (tptp.hBOOL (tptp.hAPP @t3387 @t3184))) % 54.38/54.67 (define @t3403 () (tptp.hAPP @t1928 @t36)) % 54.38/54.67 (define @t3404 () (tptp.hBOOL (tptp.hAPP @t3403 @t226))) % 54.38/54.67 (define @t3405 () (tptp.hBOOL (tptp.hAPP @t3387 @t3119))) % 54.38/54.67 (define @t3406 () (@list @t36 @t230 @t226 @t67 @t346 @t17)) % 54.38/54.67 (define @t3407 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t67 @t1945 @t231) @t55)) % 54.38/54.67 (define @t3408 () (tptp.hAPP @t2420 @t522)) % 54.38/54.67 (define @t3409 () (tptp.c_member @t1945)) % 54.38/54.67 (define @t3410 () (tptp.c_member @t2172)) % 54.38/54.67 (define @t3411 () (tptp.hAPP @t3410 @t2178)) % 54.38/54.67 (define @t3412 () (not @t2422)) % 54.38/54.67 (define @t3413 () (exists @t7 @t2422)) % 54.38/54.67 (define @t3414 () (tptp.hAPP @t3155 @t230)) % 54.38/54.67 (define @t3415 () (tptp.hBOOL (tptp.hAPP @t3349 @t230))) % 54.38/54.67 (define @t3416 () (not @t3415)) % 54.38/54.67 (define @t3417 () (@list @t230 @t226 @t125 @t17)) % 54.38/54.67 (define @t3418 () (or @t865 @t3368)) % 54.38/54.67 (define @t3419 () (@list @t230 @t36 @t17)) % 54.38/54.67 (define @t3420 () (tptp.hAPP @t2771 @t125)) % 54.38/54.67 (define @t3421 () (@list @t226 @t125)) % 54.38/54.67 (define @t3422 () (@list @t2 @t67 @t226 @t125 @t17)) % 54.38/54.67 (define @t3423 () (tptp.hAPP tptp.c_Int_ORep__Integ @t125)) % 54.38/54.67 (define @t3424 () (tptp.hAPP @t2420 @t176)) % 54.38/54.67 (define @t3425 () (tptp.hBOOL (tptp.hAPP @t3424 @t226))) % 54.38/54.67 (define @t3426 () (tptp.hBOOL (tptp.hAPP @t3387 @t226))) % 54.38/54.67 (define @t3427 () (@list @t226 @t17 @t346 @t36)) % 54.38/54.67 (define @t3428 () (= @t2186 @t2909)) % 54.38/54.67 (define @t3429 () (tptp.hAPP (tptp.c_COMBC @t17 @t231 tptp.tc_HOL_Obool) @t2420)) % 54.38/54.67 (define @t3430 () (tptp.hAPP @t3429 @t2909)) % 54.38/54.67 (define @t3431 () (tptp.hAPP @t3429 @t2186)) % 54.38/54.67 (define @t3432 () (@list @t2909 @t2186 @t17)) % 54.38/54.67 (define @t3433 () (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t231 @t2)) % 54.38/54.67 (define @t3434 () (tptp.hBOOL (tptp.hAPP @t3367 @t3433))) % 54.38/54.67 (define @t3435 () (tptp.hAPP @t232 @t3067)) % 54.38/54.67 (define @t3436 () (tptp.hBOOL (tptp.hAPP @t3367 @t3067))) % 54.38/54.67 (define @t3437 () (@var "V_less__eq_2" $$unsorted)) % 54.38/54.67 (define @t3438 () (tptp.hAPP @t3437 @t31)) % 54.38/54.67 (define @t3439 () (tptp.hBOOL (tptp.hAPP @t3438 @t952))) % 54.38/54.67 (define @t3440 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3437 @t1045) @t31))) % 54.38/54.67 (define @t3441 () (tptp.hAPP @t2420 @t31)) % 54.38/54.67 (define @t3442 () (tptp.tc_fun @t2172 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t3443 () (tptp.tc_fun @t3442 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t3444 () (tptp.tc_fun @t67 @t3443)) % 54.38/54.67 (define @t3445 () (tptp.hAPP (tptp.c_COMBC @t17 @t3442 @t2423) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3444 (tptp.tc_fun @t3442 @t2423) @t17) (tptp.c_COMBC @t67 @t3442 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2174 @t3444 @t17) (tptp.hAPP (tptp.c_COMBB @t2172 @t3443 @t67) @t3410)) @t2171)))) % 54.38/54.67 (define @t3446 () (tptp.hAPP @t3445 @t2909)) % 54.38/54.67 (define @t3447 () (tptp.hAPP @t3445 @t2186)) % 54.38/54.67 (define @t3448 () (@list @t2909 @t2186 @t67 @t17)) % 54.38/54.67 (define @t3449 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3442)) % 54.38/54.67 (define @t3450 () (tptp.hAPP @t3410 @t2477)) % 54.38/54.67 (define @t3451 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2435)) % 54.38/54.67 (define @t3452 () (@list @t176 @t125 @t2909 @t2186 @t67 @t17)) % 54.38/54.67 (define @t3453 () (tptp.c_Orderings_Obot__class_Obot @t3442)) % 54.38/54.67 (define @t3454 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t2435) @t125) @t176))) % 54.38/54.67 (define @t3455 () (@list @t125 @t2909 @t2186 @t17)) % 54.38/54.67 (define @t3456 () (tptp.hBOOL (tptp.hAPP @t3387 @t2417))) % 54.38/54.67 (define @t3457 () (@list @t230 @t226 @t67 @t346 @t17)) % 54.38/54.67 (define @t3458 () (tptp.hAPP @t3180 @t226)) % 54.38/54.67 (define @t3459 () (tptp.hAPP @t127 @t3458)) % 54.38/54.67 (define @t3460 () (=> @t3276 (= @t3355 @t3459))) % 54.38/54.67 (define @t3461 () (= @t346 @t36)) % 54.38/54.67 (define @t3462 () (tptp.hBOOL (tptp.hAPP @t3387 @t3262))) % 54.38/54.67 (define @t3463 () (tptp.hBOOL (tptp.hAPP @t233 @t3414))) % 54.38/54.67 (define @t3464 () (tptp.hAPP @t1 @t36)) % 54.38/54.67 (define @t3465 () (tptp.hAPP (tptp.c_Set_Oimage @t17 @t67 @t1) @t3067)) % 54.38/54.67 (define @t3466 () (tptp.hAPP @t1221 @t3156)) % 54.38/54.67 (define @t3467 () (tptp.hAPP @t3466 @t230)) % 54.38/54.67 (define @t3468 () (=> @t3415 (= @t3467 @t1223))) % 54.38/54.67 (define @t3469 () (@list @t226 @t230 @t125 @t17)) % 54.38/54.67 (define @t3470 () (@list @t359 @t31 @t17)) % 54.38/54.67 (define @t3471 () (@var "V_less_2" $$unsorted)) % 54.38/54.67 (define @t3472 () (tptp.hAPP @t3471 @t31)) % 54.38/54.67 (define @t3473 () (tptp.hBOOL (tptp.hAPP @t3472 @t952))) % 54.38/54.67 (define @t3474 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3471 @t1045) @t31))) % 54.38/54.67 (define @t3475 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2787 @t125) @t226))) % 54.38/54.67 (define @t3476 () (tptp.hAPP @t2923 @t3067)) % 54.38/54.67 (define @t3477 () (tptp.hAPP @t2 (tptp.hAPP @t3476 @t3433))) % 54.38/54.67 (define @t3478 () (tptp.c_Orderings_Oorder__class_Omono @t231 @t231 @t2)) % 54.38/54.67 (define @t3479 () (@list @t3067 @t36 @t2 @t17)) % 54.38/54.67 (define @t3480 () (tptp.hAPP @t1942 @t31)) % 54.38/54.67 (define @t3481 () (tptp.hBOOL (tptp.hAPP @t3441 @t226))) % 54.38/54.67 (define @t3482 () (@list @t1942 @t226 @t31 @t17 @t67)) % 54.38/54.67 (define @t3483 () (@list @t125 @t226)) % 54.38/54.67 (define @t3484 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t952) @t226))) % 54.38/54.67 (define @t3485 () (@list @t230 @t36 @t67 @t226 @t952 @t17)) % 54.38/54.67 (define @t3486 () (@list @t230 @t67 @t226 @t36 @t17)) % 54.38/54.67 (define @t3487 () (tptp.hAPP (tptp.hAPP @t3072 @t1936) @t226)) % 54.38/54.67 (define @t3488 () (tptp.hAPP @t226 @t359)) % 54.38/54.67 (define @t3489 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t359) @t1936))) % 54.38/54.67 (define @t3490 () (@list @t226 @t67 @t1936 @t359 @t17)) % 54.38/54.67 (define @t3491 () (tptp.c_Orderings_Oord__class_Oless__eq @t3442)) % 54.38/54.67 (define @t3492 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t67 @t3189) @t17) (tptp.c_If @t67))) % 54.38/54.67 (define @t3493 () (tptp.c_COMBS @t17 @t67 @t3189)) % 54.38/54.67 (define @t3494 () (tptp.c_COMBC @t17 @t67 @t67)) % 54.38/54.67 (define @t3495 () (tptp.hAPP @t3494 (tptp.hAPP (tptp.hAPP @t3493 (tptp.hAPP @t3492 @t2129)) @t346))) % 54.38/54.67 (define @t3496 () (tptp.hAPP (tptp.hAPP @t2858 (tptp.hAPP @t3495 @t3170)) @t2909)) % 54.38/54.67 (define @t3497 () (tptp.hBOOL (tptp.hAPP @t3367 @t2909))) % 54.38/54.67 (define @t3498 () (not @t3497)) % 54.38/54.67 (define @t3499 () (tptp.hAPP @t346 @t36)) % 54.38/54.67 (define @t3500 () (tptp.hBOOL (tptp.hAPP @t3130 @t2909))) % 54.38/54.67 (define @t3501 () (@list @t346 @t36 @t2909 @t17 @t67)) % 54.38/54.67 (define @t3502 () (tptp.hAPP @t3494 (tptp.hAPP (tptp.hAPP @t3493 (tptp.hAPP @t3492 @t2493)) @t346))) % 54.38/54.67 (define @t3503 () (tptp.hAPP (tptp.hAPP @t2858 (tptp.hAPP @t3502 @t3170)) @t2909)) % 54.38/54.67 (define @t3504 () (tptp.hAPP @t3476 @t226)) % 54.38/54.67 (define @t3505 () (= @t226 @t3433)) % 54.38/54.67 (define @t3506 () (@list @t3067 @t36 @t2 @t17 @t226)) % 54.38/54.67 (define @t3507 () (@list @t125 @t3180 @t2 @t17)) % 54.38/54.67 (define @t3508 () (@list @t1 @t125 @t226 @t17 @t67)) % 54.38/54.67 (define @t3509 () (tptp.hAPP @t3187 @t2181)) % 54.38/54.67 (define @t3510 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3256) @t230))) % 54.38/54.67 (define @t3511 () (@list @t230 @t125 @t226 @t17)) % 54.38/54.67 (define @t3512 () (=> @t3352 @t234)) % 54.38/54.67 (define @t3513 () (=> @t3352 (= @t3231 (tptp.hAPP tptp.c_Nat_OSuc @t2881)))) % 54.38/54.67 (define @t3514 () (tptp.hAPP @t2754 @t3291)) % 54.38/54.67 (define @t3515 () (tptp.hAPP @t2860 @t3291)) % 54.38/54.67 (define @t3516 () (@list @t2 @t36 @t226 @t17 @t67)) % 54.38/54.67 (define @t3517 () (=> @t3368 (= @t3515 (tptp.hAPP @t3201 @t2181)))) % 54.38/54.67 (define @t3518 () (tptp.hAPP @t3158 @t3254)) % 54.38/54.67 (define @t3519 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t17) tptp.c_Int_Onat) @t2)) % 54.38/54.67 (define @t3520 () (forall @t7 (=> @t2422 (tptp.c_Nat__Transfer_Ois__nat @t5)))) % 54.38/54.67 (define @t3521 () (tptp.hAPP @t829 @t2231)) % 54.38/54.67 (define @t3522 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2787 (tptp.hAPP @t3521 @t661)) @t230))) % 54.38/54.67 (define @t3523 () (@list @t230 @t2231 @t1225)) % 54.38/54.67 (define @t3524 () (tptp.hAPP @t745 @t2231)) % 54.38/54.67 (define @t3525 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2787 (tptp.hAPP @t3524 @t661)) @t226))) % 54.38/54.67 (define @t3526 () (@list @t226 @t2231 @t1225)) % 54.38/54.67 (define @t3527 () (tptp.hBOOL (tptp.hAPP @t1242 @t176))) % 54.38/54.67 (define @t3528 () (tptp.hBOOL (tptp.hAPP @t1243 @t176))) % 54.38/54.67 (define @t3529 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3451 @t226) @t230) @t125) @t176))) % 54.38/54.67 (define @t3530 () (@list @t176 @t125 @t230 @t226 @t67 @t17)) % 54.38/54.67 (define @t3531 () (not @t3527)) % 54.38/54.67 (define @t3532 () (tptp.tc_prod @t17 @t17)) % 54.38/54.67 (define @t3533 () (tptp.tc_fun @t3532 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t3534 () (tptp.c_Orderings_Oord__class_Oless__eq @t3533)) % 54.38/54.67 (define @t3535 () (tptp.c_Orderings_Obot__class_Obot @t3533)) % 54.38/54.67 (define @t3536 () (tptp.hBOOL (tptp.hAPP @t2418 @t55))) % 54.38/54.67 (define @t3537 () (@list @t55 @t346 @t230 @t226 @t1945 @t67 @t17)) % 54.38/54.67 (define @t3538 () (forall @t7 (=> @t2422 @t3536))) % 54.38/54.67 (define @t3539 () (tptp.c_Product__Type_OPair @t17 @t17)) % 54.38/54.67 (define @t3540 () (tptp.hAPP @t3539 @t3)) % 54.38/54.67 (define @t3541 () (tptp.hAPP @t3540 @t3)) % 54.38/54.67 (define @t3542 () (tptp.c_member @t3532)) % 54.38/54.67 (define @t3543 () (tptp.hAPP @t3542 @t3541)) % 54.38/54.67 (define @t3544 () (tptp.hBOOL (tptp.hAPP @t3543 @t1753))) % 54.38/54.67 (define @t3545 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t31) @t359))) % 54.38/54.67 (define @t3546 () (tptp.hBOOL (tptp.hAPP @t2598 @t31))) % 54.38/54.67 (define @t3547 () (tptp.hAPP @t2771 @t31)) % 54.38/54.67 (define @t3548 () (tptp.hBOOL (tptp.hAPP @t2801 @t2790))) % 54.38/54.67 (define @t3549 () (@list @t359 @t3471 @t31 @t17)) % 54.38/54.67 (define @t3550 () (not (= @t3 @t2231))) % 54.38/54.67 (define @t3551 () (tptp.hAPP @t2787 @t2231)) % 54.38/54.67 (define @t3552 () (tptp.hBOOL (tptp.hAPP @t3551 @t226))) % 54.38/54.67 (define @t3553 () (tptp.hBOOL (tptp.hAPP @t3551 @t230))) % 54.38/54.67 (define @t3554 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t127) @t195))) % 54.38/54.67 (define @t3555 () (tptp.c_Wellfounded_Omeasure @t17)) % 54.38/54.67 (define @t3556 () (tptp.hAPP @t3555 @t2)) % 54.38/54.67 (define @t3557 () (tptp.hAPP @t3539 @t125)) % 54.38/54.67 (define @t3558 () (tptp.hAPP @t3542 (tptp.hAPP @t3557 @t176))) % 54.38/54.67 (define @t3559 () (@list @t359 @t3437 @t31 @t17)) % 54.38/54.67 (define @t3560 () (tptp.hAPP @t3148 @t125)) % 54.38/54.67 (define @t3561 () (tptp.hAPP @t2 @t126)) % 54.38/54.67 (define @t3562 () (tptp.hAPP @t3561 (tptp.hAPP @t3180 (tptp.hAPP @t2848 (tptp.hAPP @t3560 @t3265))))) % 54.38/54.67 (define @t3563 () (tptp.hBOOL (tptp.hAPP @t3204 @t226))) % 54.38/54.67 (define @t3564 () (tptp.c_Finite__Set_Ofolding__image__simple @t17 @t67 @t2 @t522 @t1 @t3180)) % 54.38/54.67 (define @t3565 () (@list @t125 @t226 @t3180 @t1 @t522 @t2 @t67 @t17)) % 54.38/54.67 (define @t3566 () (tptp.hAPP @t127 @t176)) % 54.38/54.67 (define @t3567 () (@list @t176 @t522 @t2 @t67 @t226 @t125 @t17)) % 54.38/54.67 (define @t3568 () (tptp.hAPP @t2420 @t2108)) % 54.38/54.67 (define @t3569 () (@list @t2108)) % 54.38/54.67 (define @t3570 () (tptp.c_Partial__Function_Oflat__lub @t17 @t346 @t226)) % 54.38/54.67 (define @t3571 () (tptp.hBOOL (tptp.hAPP @t233 @t3260))) % 54.38/54.67 (define @t3572 () (@list @t346 @t226 @t17)) % 54.38/54.67 (define @t3573 () (@list @t522 @t2 @t67 @t17)) % 54.38/54.67 (define @t3574 () (@var "V_a2_2" $$unsorted)) % 54.38/54.67 (define @t3575 () (tptp.hAPP @t3561 @t3458)) % 54.38/54.67 (define @t3576 () (tptp.hAPP @t3180 (tptp.hAPP @t3560 @t226))) % 54.38/54.67 (define @t3577 () (= @t3576 @t3575)) % 54.38/54.67 (define @t3578 () (tptp.c_Wellfounded_Omlex__prod @t17 @t2 @t2186)) % 54.38/54.67 (define @t3579 () (tptp.hBOOL (tptp.hAPP @t3558 @t3578))) % 54.38/54.67 (define @t3580 () (tptp.hBOOL (tptp.hAPP @t3558 @t2186))) % 54.38/54.67 (define @t3581 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t127) @t195))) % 54.38/54.67 (define @t3582 () (@list @t2186 @t17 @t176 @t125 @t2)) % 54.38/54.67 (define @t3583 () (tptp.hAPP @t2817 @t2909)) % 54.38/54.67 (define @t3584 () (tptp.hAPP (tptp.c_COMBC @t67 @t2423 tptp.tc_HOL_Obool) @t1928)) % 54.38/54.67 (define @t3585 () (tptp.hAPP @t49 @t3)) % 54.38/54.67 (define @t3586 () (tptp.hBOOL (tptp.hAPP @t3585 @t2785))) % 54.38/54.67 (define @t3587 () (tptp.hBOOL (tptp.hAPP @t2421 @t2909))) % 54.38/54.67 (define @t3588 () (@list @t2909 @t2 @t17 @t67)) % 54.38/54.67 (define @t3589 () (tptp.hAPP (tptp.c_COMBB @t231 @t3021 @t231) @t2923)) % 54.38/54.67 (define @t3590 () (tptp.c_COMBC @t231 @t231 @t231)) % 54.38/54.67 (define @t3591 () (tptp.hAPP @t3590 (tptp.hAPP @t3589 (tptp.hAPP (tptp.hAPP @t3590 (tptp.hAPP @t3589 @t2)) @t3067)))) % 54.38/54.67 (define @t3592 () (tptp.c_Orderings_Oord__class_OLeast @t17 @t111)) % 54.38/54.67 (define @t3593 () (tptp.hBOOL (tptp.hAPP @t111 @t3592))) % 54.38/54.67 (define @t3594 () (tptp.class_Orderings_Owellorder @t17)) % 54.38/54.67 (define @t3595 () (@list @t111 @t17)) % 54.38/54.67 (define @t3596 () (tptp.hBOOL (tptp.hAPP @t111 @t359))) % 54.38/54.67 (define @t3597 () (@list @t359 @t111 @t17)) % 54.38/54.67 (define @t3598 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t17 @t2)) % 54.38/54.67 (define @t3599 () (tptp.hAPP @t49 @t3598)) % 54.38/54.67 (define @t3600 () (tptp.hAPP @t2 @t3598)) % 54.38/54.67 (define @t3601 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t231 (tptp.hAPP @t3591 @t3433))) % 54.38/54.67 (define @t3602 () (tptp.hAPP @t2 @t3601)) % 54.38/54.67 (define @t3603 () (tptp.hBOOL (tptp.hAPP @t3435 @t3602))) % 54.38/54.67 (define @t3604 () (@var "V_K_2" $$unsorted)) % 54.38/54.67 (define @t3605 () (tptp.c_Groups_Otimes__class_Otimes @t67)) % 54.38/54.67 (define @t3606 () (tptp.hAPP @t2420 @t1264)) % 54.38/54.67 (define @t3607 () (@var "B_B" $$unsorted)) % 54.38/54.67 (define @t3608 () (@list @t952 @t1045 @t3471 @t3437 @t31 @t17)) % 54.38/54.67 (define @t3609 () (tptp.c_SetInterval_Oord_OgreaterThanAtMost tptp.tc_Nat_Onat @t2541 @t2629 @t359 @t1045)) % 54.38/54.67 (define @t3610 () (= @t3609 @t3236)) % 54.38/54.67 (define @t3611 () (tptp.c_SetInterval_Oord_OatLeastLessThan tptp.tc_Nat_Onat @t2541 @t2629 @t36 @t346)) % 54.38/54.67 (define @t3612 () (= @t3611 @t3236)) % 54.38/54.67 (define @t3613 () (not (and (tptp.hBOOL (tptp.hAPP @t2598 @t1045)) (not @t3342)))) % 54.38/54.67 (define @t3614 () (not (and @t2942 (not @t3318)))) % 54.38/54.67 (define @t3615 () (tptp.c_Nat_Osemiring__1__class_ONats @t17)) % 54.38/54.67 (define @t3616 () (tptp.hAPP @t2420 @t812)) % 54.38/54.67 (define @t3617 () (tptp.hAPP (tptp.hAPP @t836 (tptp.hAPP @t2706 @t36)) @t36)) % 54.38/54.67 (define @t3618 () (tptp.c_Int_Oring__1__class_OInts @t17)) % 54.38/54.67 (define @t3619 () (tptp.hBOOL (tptp.hAPP @t3367 @t3618))) % 54.38/54.67 (define @t3620 () (tptp.hAPP @t2998 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 @t3256))) % 54.38/54.67 (define @t3621 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 @t226)) % 54.38/54.67 (define @t3622 () (tptp.hAPP @t2358 (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t3256))) % 54.38/54.67 (define @t3623 () (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t226)) % 54.38/54.67 (define @t3624 () (= @t3623 @t125)) % 54.38/54.67 (define @t3625 () (tptp.hAPP @t2420 @t268)) % 54.38/54.67 (define @t3626 () (tptp.hAPP @t2420 @t838)) % 54.38/54.67 (define @t3627 () (tptp.hBOOL (tptp.hAPP @t3387 @t3618))) % 54.38/54.67 (define @t3628 () (tptp.hAPP @t2420 @t351)) % 54.38/54.67 (define @t3629 () (tptp.hAPP @t2420 @t651)) % 54.38/54.67 (define @t3630 () (tptp.hAPP @t2420 @t267)) % 54.38/54.67 (define @t3631 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t3623) @t226))) % 54.38/54.67 (define @t3632 () (tptp.hAPP @t2998 @t3621)) % 54.38/54.67 (define @t3633 () (tptp.hAPP @t2358 @t3623)) % 54.38/54.67 (define @t3634 () (tptp.hBOOL (tptp.hAPP @t3387 @t3615))) % 54.38/54.67 (define @t3635 () (tptp.hBOOL (tptp.hAPP @t3367 @t3615))) % 54.38/54.67 (define @t3636 () (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t3151)) % 54.38/54.67 (define @t3637 () (tptp.hBOOL (tptp.hAPP @t3130 @t3151))) % 54.38/54.67 (define @t3638 () (not (= @t1942 @t3254))) % 54.38/54.67 (define @t3639 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t1942) @t3151))) % 54.38/54.67 (define @t3640 () (@list @t3151 @t1942 @t17)) % 54.38/54.67 (define @t3641 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 @t3156)) % 54.38/54.67 (define @t3642 () (=> @t3276 (= @t3641 @t3632))) % 54.38/54.67 (define @t3643 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 @t230)) % 54.38/54.67 (define @t3644 () (not @t3271)) % 54.38/54.67 (define @t3645 () (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t3156)) % 54.38/54.67 (define @t3646 () (=> @t3276 (= @t3645 @t3633))) % 54.38/54.67 (define @t3647 () (tptp.hAPP (tptp.hAPP @t2967 @t3621) @t3643)) % 54.38/54.67 (define @t3648 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 @t2952)) % 54.38/54.67 (define @t3649 () (= @t3648 @t3647)) % 54.38/54.67 (define @t3650 () (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t230)) % 54.38/54.67 (define @t3651 () (tptp.hAPP (tptp.hAPP @t2357 @t3623) @t3650)) % 54.38/54.67 (define @t3652 () (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t2952)) % 54.38/54.67 (define @t3653 () (= @t3652 @t3651)) % 54.38/54.67 (define @t3654 () (tptp.hAPP @t3144 @t3)) % 54.38/54.67 (define @t3655 () (tptp.hAPP @t3654 (tptp.hAPP (tptp.hAPP @t3144 @t283) @t3254))) % 54.38/54.67 (define @t3656 () (tptp.hAPP (tptp.hAPP @t2357 @t3) @t283)) % 54.38/54.67 (define @t3657 () (forall @t287 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t3656) @t3655)))) % 54.38/54.67 (define @t3658 () (tptp.hAPP (tptp.hAPP @t2967 @t3) @t283)) % 54.38/54.67 (define @t3659 () (tptp.hAPP @t2287 (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t3256))) % 54.38/54.67 (define @t3660 () (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t226)) % 54.38/54.67 (define @t3661 () (= @t3660 @t125)) % 54.38/54.67 (define @t3662 () (tptp.hAPP @t3654 @t3254)) % 54.38/54.67 (define @t3663 () (@var "V_a4_2" $$unsorted)) % 54.38/54.67 (define @t3664 () (@var "V_a3_2" $$unsorted)) % 54.38/54.67 (define @t3665 () (@var "V_a5_2" $$unsorted)) % 54.38/54.67 (define @t3666 () (tptp.hAPP (tptp.hAPP @t3664 @t2105) @t3665)) % 54.38/54.67 (define @t3667 () (= @t3574 @t3254)) % 54.38/54.67 (define @t3668 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t3660) @t226))) % 54.38/54.67 (define @t3669 () (tptp.hAPP @t2287 @t3660)) % 54.38/54.67 (define @t3670 () (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t3151)) % 54.38/54.67 (define @t3671 () (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t3156)) % 54.38/54.67 (define @t3672 () (=> @t3276 (= @t3671 @t3669))) % 54.38/54.67 (define @t3673 () (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t230)) % 54.38/54.67 (define @t3674 () (tptp.hAPP (tptp.hAPP @t2286 @t3660) @t3673)) % 54.38/54.67 (define @t3675 () (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t2952)) % 54.38/54.67 (define @t3676 () (= @t3675 @t3674)) % 54.38/54.67 (define @t3677 () (tptp.hAPP @t2852 @t2909)) % 54.38/54.67 (define @t3678 () (not (= @t2909 @t3254))) % 54.38/54.67 (define @t3679 () (@list @t2909 @t17)) % 54.38/54.67 (define @t3680 () (tptp.hAPP (tptp.hAPP @t2286 @t3) @t283)) % 54.38/54.67 (define @t3681 () (forall @t287 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t3680) @t3655)))) % 54.38/54.67 (define @t3682 () (tptp.c_Product__Type_OPair @t67 @t67)) % 54.38/54.67 (define @t3683 () (tptp.tc_prod @t67 @t67)) % 54.38/54.67 (define @t3684 () (tptp.c_member @t3683)) % 54.38/54.67 (define @t3685 () (tptp.hAPP @t3539 @t36)) % 54.38/54.67 (define @t3686 () (tptp.c_Product__Type_OPair @t2172 @t2172)) % 54.38/54.67 (define @t3687 () (tptp.c_member (tptp.tc_prod @t2172 @t2172))) % 54.38/54.67 (define @t3688 () (tptp.c_Wellfounded_Ofinite__psubset @t17)) % 54.38/54.67 (define @t3689 () (tptp.c_Product__Type_OPair @t231 @t231)) % 54.38/54.67 (define @t3690 () (tptp.tc_prod @t231 @t231)) % 54.38/54.67 (define @t3691 () (tptp.c_member @t3690)) % 54.38/54.67 (define @t3692 () (tptp.hAPP @t3691 (tptp.hAPP (tptp.hAPP @t3689 @t226) @t230))) % 54.38/54.67 (define @t3693 () (tptp.hAPP @t2358 (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 @t3256))) % 54.38/54.67 (define @t3694 () (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 @t226)) % 54.38/54.67 (define @t3695 () (tptp.hAPP @t2358 @t3694)) % 54.38/54.67 (define @t3696 () (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 @t3156)) % 54.38/54.67 (define @t3697 () (=> @t3276 (= @t3696 @t3695))) % 54.38/54.67 (define @t3698 () (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 @t230)) % 54.38/54.67 (define @t3699 () (tptp.hAPP @t2286 @t36)) % 54.38/54.67 (define @t3700 () (tptp.hAPP (tptp.hAPP @t2357 @t3694) @t3698)) % 54.38/54.67 (define @t3701 () (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 @t2952)) % 54.38/54.67 (define @t3702 () (= @t3701 @t3700)) % 54.38/54.67 (define @t3703 () (tptp.c_Recdef_Osame__fst @t17 @t67 @t111 @t2186)) % 54.38/54.67 (define @t3704 () (@var "V_y_H_2" $$unsorted)) % 54.38/54.67 (define @t3705 () (tptp.hAPP @t2186 @t125)) % 54.38/54.67 (define @t3706 () (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 @t226)) % 54.38/54.67 (define @t3707 () (tptp.hAPP @t2287 (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 @t3256))) % 54.38/54.67 (define @t3708 () (tptp.hAPP @t2287 @t3706)) % 54.38/54.67 (define @t3709 () (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 @t3156)) % 54.38/54.67 (define @t3710 () (=> @t3276 (= @t3709 @t3708))) % 54.38/54.67 (define @t3711 () (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 @t230)) % 54.38/54.67 (define @t3712 () (tptp.hAPP @t2357 @t36)) % 54.38/54.67 (define @t3713 () (tptp.hAPP (tptp.hAPP @t2286 @t3706) @t3711)) % 54.38/54.67 (define @t3714 () (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 @t2952)) % 54.38/54.67 (define @t3715 () (= @t3714 @t3713)) % 54.38/54.67 (define @t3716 () (@list @t226 @t3180 @t2 @t17)) % 54.38/54.67 (define @t3717 () (tptp.c_Fun_Ofun__upd @t17 @t67 @t2 @t125 @t176)) % 54.38/54.67 (define @t3718 () (tptp.hAPP (tptp.c_Set_Oimage @t17 @t67 @t3717) @t226)) % 54.38/54.67 (define @t3719 () (tptp.hAPP @t2880 @t2909)) % 54.38/54.67 (define @t3720 () (tptp.c_Power_Opower__class_Opower @t67)) % 54.38/54.67 (define @t3721 () (tptp.hAPP @t3720 @t55)) % 54.38/54.67 (define @t3722 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t17 @t67)) % 54.38/54.67 (define @t3723 () (tptp.hAPP (tptp.hAPP @t3722 (tptp.hAPP @t3502 @t55)) @t2909)) % 54.38/54.67 (define @t3724 () (tptp.class_Groups_Ocomm__monoid__mult @t67)) % 54.38/54.67 (define @t3725 () (@list @t125 @t2 @t67 @t17)) % 54.38/54.67 (define @t3726 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t17)) % 54.38/54.67 (define @t3727 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t17)) % 54.38/54.67 (define @t3728 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t17 @t67 @t2 @t36 @t346) @t125)) % 54.38/54.67 (define @t3729 () (= @t125 @t36)) % 54.38/54.67 (define @t3730 () (= @t127 @t176)) % 54.38/54.67 (define @t3731 () (@list @t176 @t125 @t2 @t67 @t17)) % 54.38/54.67 (define @t3732 () (@list @t522 @t176 @t125 @t2 @t67 @t17)) % 54.38/54.67 (define @t3733 () (tptp.c_Fun_Ofun__upd @t67 @t17 @t2 @t125 @t176)) % 54.38/54.67 (define @t3734 () (tptp.hAPP @t2 @t522)) % 54.38/54.67 (define @t3735 () (tptp.hAPP @t3717 @t522)) % 54.38/54.67 (define @t3736 () (= @t522 @t125)) % 54.38/54.67 (define @t3737 () (=> (not @t3736) (= @t3735 @t3734))) % 54.38/54.67 (define @t3738 () (@list @t176 @t2 @t67 @t17 @t125 @t522)) % 54.38/54.67 (define @t3739 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t67 @t17)) % 54.38/54.67 (define @t3740 () (tptp.hAPP @t3739 @t1)) % 54.38/54.67 (define @t3741 () (tptp.hAPP @t3739 @t2)) % 54.38/54.67 (define @t3742 () (tptp.hAPP @t3741 @t226)) % 54.38/54.67 (define @t3743 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t17 tptp.tc_Int_Oint)) % 54.38/54.67 (define @t3744 () (tptp.hAPP (tptp.hAPP @t3743 @t2750) @t226)) % 54.38/54.67 (define @t3745 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t17 tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t3746 () (tptp.hAPP @t3745 @t2)) % 54.38/54.67 (define @t3747 () (tptp.hAPP @t3746 @t226)) % 54.38/54.67 (define @t3748 () (= @t5 @t3170)) % 54.38/54.67 (define @t3749 () (exists @t7 (and @t2422 @t3748))) % 54.38/54.67 (define @t3750 () (tptp.hAPP @t3722 @t2)) % 54.38/54.67 (define @t3751 () (tptp.hAPP @t3750 @t226)) % 54.38/54.67 (define @t3752 () (= @t3751 @t3170)) % 54.38/54.67 (define @t3753 () (tptp.class_Rings_Ocomm__semiring__1 @t67)) % 54.38/54.67 (define @t3754 () (tptp.c_Groups_Oone__class_Oone @t67)) % 54.38/54.67 (define @t3755 () (tptp.hAPP @t3722 @t1)) % 54.38/54.67 (define @t3756 () (tptp.hAPP @t3755 @t226)) % 54.38/54.67 (define @t3757 () (=> @t3173 (= @t3756 @t3754))) % 54.38/54.67 (define @t3758 () (tptp.hAPP (tptp.hAPP @t3726 @t2) @t226)) % 54.38/54.67 (define @t3759 () (tptp.hAPP @t3605 @t3756)) % 54.38/54.67 (define @t3760 () (tptp.hAPP (tptp.hAPP @t3191 (tptp.hAPP (tptp.hAPP @t3190 @t3605) @t1)) @t53)) % 54.38/54.67 (define @t3761 () (tptp.c_Rings_Oinverse__class_Odivide @t67)) % 54.38/54.67 (define @t3762 () (tptp.hAPP @t3761 @t3751)) % 54.38/54.67 (define @t3763 () (@list @t1 @t2 @t226 @t17 @t67)) % 54.38/54.67 (define @t3764 () (tptp.hAPP @t2 @t31)) % 54.38/54.67 (define @t3765 () (tptp.c_Rings_Odvd__class_Odvd @t67)) % 54.38/54.67 (define @t3766 () (forall @t7 (=> @t3587 @t2857))) % 54.38/54.67 (define @t3767 () (tptp.hBOOL (tptp.hAPP @t81 (tptp.hAPP @t3746 @t2909)))) % 54.38/54.67 (define @t3768 () (@list @t2 @t2909 @t17)) % 54.38/54.67 (define @t3769 () (tptp.hAPP @t3750 @t230)) % 54.38/54.67 (define @t3770 () (tptp.hAPP @t3765 @t3751)) % 54.38/54.67 (define @t3771 () (tptp.hAPP (tptp.hAPP @t3722 (tptp.hAPP @t3495 @t3754)) @t2909)) % 54.38/54.67 (define @t3772 () (tptp.hAPP (tptp.hAPP @t3722 (tptp.hAPP @t3502 @t3754)) @t2909)) % 54.38/54.67 (define @t3773 () (tptp.hAPP @t3605 @t126)) % 54.38/54.67 (define @t3774 () (tptp.hAPP @t3755 @t3156)) % 54.38/54.67 (define @t3775 () (tptp.hAPP @t3773 (tptp.hAPP @t3755 @t3256))) % 54.38/54.67 (define @t3776 () (tptp.hAPP @t3750 @t3291)) % 54.38/54.67 (define @t3777 () (tptp.class_Fields_Ofield @t67)) % 54.38/54.67 (define @t3778 () (tptp.hBOOL (tptp.hAPP @t3441 @t2232))) % 54.38/54.67 (define @t3779 () (tptp.hAPP @t2860 @t2232)) % 54.38/54.67 (define @t3780 () (forall @t1268 (=> (tptp.hBOOL (tptp.hAPP @t3606 @t2232)) (tptp.hBOOL (tptp.hAPP @t3243 @t1610))))) % 54.38/54.67 (define @t3781 () (tptp.hBOOL (tptp.hAPP @t3130 @t2232))) % 54.38/54.67 (define @t3782 () (tptp.class_Groups_Oordered__ab__group__add @t67)) % 54.38/54.67 (define @t3783 () (tptp.c_Product__Type_OPair @t2254 @t2254)) % 54.38/54.67 (define @t3784 () (tptp.tc_prod @t2254 @t2254)) % 54.38/54.67 (define @t3785 () (tptp.c_member @t3784)) % 54.38/54.67 (define @t3786 () (tptp.hAPP @t3785 (tptp.hAPP (tptp.hAPP @t3783 (tptp.hAPP (tptp.hAPP @t2210 @t36) @t2232)) (tptp.hAPP (tptp.hAPP @t2210 @t346) @t2231)))) % 54.38/54.67 (define @t3787 () (tptp.hBOOL (tptp.hAPP @t3786 tptp.c_FunDef_Opair__less))) % 54.38/54.67 (define @t3788 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t36) @t346))) % 54.38/54.67 (define @t3789 () (@list @t2231 @t2232 @t346 @t36)) % 54.38/54.67 (define @t3790 () (tptp.c_Set_Oimage @t17 @t17 @t53)) % 54.38/54.67 (define @t3791 () (tptp.hAPP @t3790 @t3151)) % 54.38/54.67 (define @t3792 () (not (= @t3151 @t3254))) % 54.38/54.67 (define @t3793 () (tptp.hAPP @t53 @t283)) % 54.38/54.67 (define @t3794 () (tptp.hAPP @t53 @t3)) % 54.38/54.67 (define @t3795 () (forall @t287 (= (tptp.hAPP @t53 @t3656) (tptp.hAPP (tptp.hAPP @t2357 @t3794) @t3793)))) % 54.38/54.67 (define @t3796 () (@list @t3151 @t53 @t17)) % 54.38/54.67 (define @t3797 () (tptp.hBOOL (tptp.hAPP @t3786 tptp.c_FunDef_Opair__leq))) % 54.38/54.67 (define @t3798 () (tptp.c_Set_Oinsert @t2254)) % 54.38/54.67 (define @t3799 () (tptp.hAPP @t3798 @t125)) % 54.38/54.67 (define @t3800 () (tptp.tc_fun @t2254 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t3801 () (tptp.c_Product__Type_OPair @t3800 @t3800)) % 54.38/54.67 (define @t3802 () (tptp.tc_prod @t3800 @t3800)) % 54.38/54.67 (define @t3803 () (tptp.c_member @t3802)) % 54.38/54.67 (define @t3804 () (tptp.hAPP @t3801 @t3067)) % 54.38/54.67 (define @t3805 () (tptp.hAPP @t3785 (tptp.hAPP (tptp.hAPP @t3783 @t125) @t176))) % 54.38/54.67 (define @t3806 () (tptp.hBOOL (tptp.hAPP @t3805 tptp.c_FunDef_Opair__less))) % 54.38/54.67 (define @t3807 () (tptp.c_member @t2254)) % 54.38/54.67 (define @t3808 () (tptp.hAPP @t3807 @t176)) % 54.38/54.67 (define @t3809 () (@var "V_YS_2" $$unsorted)) % 54.38/54.67 (define @t3810 () (tptp.hAPP @t3798 @t176)) % 54.38/54.67 (define @t3811 () (@var "V_XS_2" $$unsorted)) % 54.38/54.67 (define @t3812 () (tptp.hAPP @t3801 @t3811)) % 54.38/54.67 (define @t3813 () (tptp.hAPP @t3803 (tptp.hAPP @t3812 (tptp.hAPP @t3810 @t3809)))) % 54.38/54.67 (define @t3814 () (tptp.hAPP @t3803 (tptp.hAPP @t3812 @t3809))) % 54.38/54.67 (define @t3815 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3807 @t125) @t3811))) % 54.38/54.67 (define @t3816 () (@list @t3809 @t176 @t3811 @t125)) % 54.38/54.67 (define @t3817 () (tptp.c_Orderings_Obot__class_Obot @t3800)) % 54.38/54.67 (define @t3818 () (tptp.hAPP @t3801 @t3817)) % 54.38/54.67 (define @t3819 () (tptp.c_Finite__Set_Ofinite @t2254)) % 54.38/54.67 (define @t3820 () (tptp.hAPP @t3803 (tptp.hAPP @t3804 @t3817))) % 54.38/54.67 (define @t3821 () (@list @t3067)) % 54.38/54.67 (define @t3822 () (tptp.hBOOL (tptp.hAPP @t3805 tptp.c_FunDef_Opair__leq))) % 54.38/54.67 (define @t3823 () (tptp.tc_fun @t3802 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t3824 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3802) (tptp.hAPP @t3818 @t3817)) (tptp.c_Orderings_Obot__class_Obot @t3823))) % 54.38/54.67 (define @t3825 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3823)) % 54.38/54.67 (define @t3826 () (tptp.c_Product__Type_OPair @t3823 @t3823)) % 54.38/54.67 (define @t3827 () (tptp.c_Wellfounded_Omax__ext @t17 @t2186)) % 54.38/54.67 (define @t3828 () (@var "V_xa_2" $$unsorted)) % 54.38/54.67 (define @t3829 () (tptp.tc_fun @t3533 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t3830 () (tptp.hAPP (tptp.c_COMBB @t3532 @t3829 @t17) @t3542)) % 54.38/54.67 (define @t3831 () (tptp.tc_fun @t17 @t3829)) % 54.38/54.67 (define @t3832 () (tptp.tc_fun @t17 @t3532)) % 54.38/54.67 (define @t3833 () (tptp.c_COMBC @t17 @t3533 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t3834 () (tptp.hAPP (tptp.c_COMBC @t17 @t3533 @t231) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3831 (tptp.tc_fun @t3533 @t231) @t17) @t3833) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3832 @t3831 @t17) @t3830) @t3539)))) % 54.38/54.67 (define @t3835 () (tptp.hAPP (tptp.hAPP @t760 @t952) @t176)) % 54.38/54.67 (define @t3836 () (tptp.hAPP @t2663 @t751)) % 54.38/54.67 (define @t3837 () (tptp.hAPP (tptp.hAPP @t2210 @t952) @t751)) % 54.38/54.67 (define @t3838 () (@list @t751 @t952 @t176 @t125)) % 54.38/54.67 (define @t3839 () (tptp.c_FunDef_Orp__inv__image @t17 @t67)) % 54.38/54.67 (define @t3840 () (tptp.c_FunDef_Oreduction__pair @t17 @t111)) % 54.38/54.67 (define @t3841 () (@list @t2 @t67 @t111 @t17)) % 54.38/54.67 (define @t3842 () (tptp.tc_prod tptp.tc_Nat_Onat @t17)) % 54.38/54.67 (define @t3843 () (tptp.c_Relation_Oinv__image @t17 @t67)) % 54.38/54.67 (define @t3844 () (tptp.tc_fun @t3683 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t3845 () (tptp.tc_prod @t3844 @t3844)) % 54.38/54.67 (define @t3846 () (tptp.tc_fun @t3844 @t3845)) % 54.38/54.67 (define @t3847 () (tptp.tc_fun @t1244 @t3846)) % 54.38/54.67 (define @t3848 () (tptp.tc_fun @t1244 @t3844)) % 54.38/54.67 (define @t3849 () (tptp.tc_fun @t1244 @t3845)) % 54.38/54.67 (define @t3850 () (tptp.tc_fun @t3848 @t3849)) % 54.38/54.67 (define @t3851 () (tptp.tc_fun @t3533 @t3849)) % 54.38/54.67 (define @t3852 () (tptp.tc_fun @t3533 @t3848)) % 54.38/54.67 (define @t3853 () (@list @t67 @t17)) % 54.38/54.67 (define @t3854 () (forall @t287 (= (tptp.hAPP @t53 @t3680) (tptp.hAPP (tptp.hAPP @t2286 @t3794) @t3793)))) % 54.38/54.67 (define @t3855 () (tptp.c_Relation_Oinv__image @t67 @t17)) % 54.38/54.67 (define @t3856 () (tptp.hAPP (tptp.hAPP @t3855 @t1753) @t2)) % 54.38/54.67 (define @t3857 () (forall @t7 (not @t3544))) % 54.38/54.67 (define @t3858 () (tptp.c_Relation_OField @t17)) % 54.38/54.67 (define @t3859 () (tptp.hAPP @t3858 @t1753)) % 54.38/54.67 (define @t3860 () (tptp.hAPP @t3685 @t346)) % 54.38/54.67 (define @t3861 () (tptp.c_Set_Oinsert @t3532)) % 54.38/54.67 (define @t3862 () (@list @t1753 @t346 @t36 @t17)) % 54.38/54.67 (define @t3863 () (@var "V_T_2" $$unsorted)) % 54.38/54.67 (define @t3864 () (tptp.hAPP @t3750 @t3863)) % 54.38/54.67 (define @t3865 () (tptp.hAPP @t3750 @t2909)) % 54.38/54.67 (define @t3866 () (= @t5 @t3754)) % 54.38/54.67 (define @t3867 () (tptp.hBOOL (tptp.hAPP @t2421 (tptp.hAPP (tptp.hAPP @t1221 @t3863) @t2909)))) % 54.38/54.67 (define @t3868 () (forall @t7 (=> @t3867 @t3866))) % 54.38/54.67 (define @t3869 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t2909) @t3863))) % 54.38/54.67 (define @t3870 () (tptp.hBOOL (tptp.hAPP @t3130 @t3863))) % 54.38/54.67 (define @t3871 () (@list @t2 @t2909 @t3863 @t17 @t67)) % 54.38/54.67 (define @t3872 () (tptp.hAPP @t3858 @t2232)) % 54.38/54.67 (define @t3873 () (tptp.hAPP @t3534 @t1753)) % 54.38/54.67 (define @t3874 () (tptp.hBOOL (tptp.hAPP @t3873 @t2232))) % 54.38/54.67 (define @t3875 () (@list @t2232 @t1753 @t17)) % 54.38/54.67 (define @t3876 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3533)) % 54.38/54.67 (define @t3877 () (tptp.hAPP @t3876 @t1753)) % 54.38/54.67 (define @t3878 () (tptp.hAPP @t3877 @t2232)) % 54.38/54.67 (define @t3879 () (tptp.c_Finite__Set_Ofinite @t3532)) % 54.38/54.67 (define @t3880 () (tptp.hBOOL (tptp.hAPP @t3879 @t1753))) % 54.38/54.67 (define @t3881 () (tptp.hAPP @t2860 @t3863)) % 54.38/54.67 (define @t3882 () (tptp.hAPP @t2860 @t2909)) % 54.38/54.67 (define @t3883 () (forall @t7 (=> @t3867 @t3748))) % 54.38/54.67 (define @t3884 () (tptp.hAPP @t338 @t1655)) % 54.38/54.67 (define @t3885 () (tptp.c_Set_OPow @t17)) % 54.38/54.67 (define @t3886 () (tptp.hAPP @t3885 @t226)) % 54.38/54.67 (define @t3887 () (tptp.c_Finite__Set_Ocard @t231)) % 54.38/54.67 (define @t3888 () (tptp.hBOOL (tptp.hAPP @t111 @t3254))) % 54.38/54.67 (define @t3889 () (tptp.hAPP @t3144 @t2109)) % 54.38/54.67 (define @t3890 () (@var "B_A" $$unsorted)) % 54.38/54.67 (define @t3891 () (tptp.hAPP @t2420 @t2109)) % 54.38/54.67 (define @t3892 () (tptp.hBOOL (tptp.hAPP @t3891 @t3890))) % 54.38/54.67 (define @t3893 () (@list @t2109 @t3890)) % 54.38/54.67 (define @t3894 () (tptp.hAPP @t3180 @t230)) % 54.38/54.67 (define @t3895 () (tptp.hAPP (tptp.hAPP @t2 @t3458) @t3894)) % 54.38/54.67 (define @t3896 () (tptp.hAPP @t3180 @t2952)) % 54.38/54.67 (define @t3897 () (= @t3896 @t3895)) % 54.38/54.67 (define @t3898 () (tptp.c_Finite__Set_Ofolding__one__idem @t17 @t2 @t3180)) % 54.38/54.67 (define @t3899 () (@list @t230 @t226 @t3180 @t2 @t17)) % 54.38/54.67 (define @t3900 () (tptp.hAPP @t3885 @t230)) % 54.38/54.67 (define @t3901 () (tptp.c_member @t231)) % 54.38/54.67 (define @t3902 () (tptp.hAPP @t3901 @t226)) % 54.38/54.67 (define @t3903 () (tptp.hBOOL (tptp.hAPP @t3902 @t3900))) % 54.38/54.67 (define @t3904 () (tptp.c_Finite__Set_Ofinite @t231)) % 54.38/54.67 (define @t3905 () (@var "B_f" $$unsorted)) % 54.38/54.67 (define @t3906 () (@list @t3905)) % 54.38/54.67 (define @t3907 () (tptp.hAPP (tptp.c_Set_Oimage @t2423 @t231 @t2825) (tptp.hAPP (tptp.c_Set_OPow @t67) @t226))) % 54.38/54.67 (define @t3908 () (= (tptp.hAPP @t127 @t125) @t125)) % 54.38/54.67 (define @t3909 () (tptp.c_Orderings_Obot__class_Obot @t2621)) % 54.38/54.67 (define @t3910 () (tptp.c_Set_Oinsert @t231)) % 54.38/54.67 (define @t3911 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2621)) % 54.38/54.67 (define @t3912 () (tptp.hAPP @t3911 @t3886)) % 54.38/54.67 (define @t3913 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 @t2621 @t67) @t3885) @t230)) % 54.38/54.67 (define @t3914 () (tptp.hAPP @t3901 @t125)) % 54.38/54.67 (define @t3915 () (tptp.hAPP @t3429 @t226)) % 54.38/54.67 (define @t3916 () (= (tptp.hAPP (tptp.hAPP @t2 @t3894) @t3458) @t3458)) % 54.38/54.67 (define @t3917 () (tptp.hBOOL (tptp.hAPP @t111 @t3180))) % 54.38/54.67 (define @t3918 () (@var "B_F" $$unsorted)) % 54.38/54.67 (define @t3919 () (tptp.hBOOL (tptp.hAPP @t111 @t3918))) % 54.38/54.67 (define @t3920 () (tptp.hBOOL (tptp.hAPP @t3891 @t226))) % 54.38/54.67 (define @t3921 () (tptp.hBOOL (tptp.hAPP @t3130 @t3918))) % 54.38/54.67 (define @t3922 () (tptp.c_Relation_OImage @t2254 @t2254 tptp.c_Int_Ointrel)) % 54.38/54.67 (define @t3923 () (tptp.c_Relation_OImage @t67 @t17 @t1753)) % 54.38/54.67 (define @t3924 () (tptp.hAPP (tptp.hAPP @t3100 @t3923) @t230)) % 54.38/54.67 (define @t3925 () (tptp.c_Relation_OImage @t67 @t17 @t2186)) % 54.38/54.67 (define @t3926 () (tptp.hAPP @t3925 @t230)) % 54.38/54.67 (define @t3927 () (tptp.hAPP @t3925 @t226)) % 54.38/54.67 (define @t3928 () (tptp.hAPP @t2923 @t3927)) % 54.38/54.67 (define @t3929 () (@list @t2186 @t17 @t67)) % 54.38/54.67 (define @t3930 () (tptp.c_Relation_OImage @t17 @t67 @t1753)) % 54.38/54.67 (define @t3931 () (tptp.hAPP @t3930 @t226)) % 54.38/54.67 (define @t3932 () (@var "V_A_H_2" $$unsorted)) % 54.38/54.67 (define @t3933 () (@var "V_r_H_2" $$unsorted)) % 54.38/54.67 (define @t3934 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3491 @t3933) @t1753))) % 54.38/54.67 (define @t3935 () (tptp.tc_fun @t2395 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t3936 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3935)) % 54.38/54.67 (define @t3937 () (tptp.hAPP @t2840 @t3924)) % 54.38/54.67 (define @t3938 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1945 @t2423) @t226)) % 54.38/54.67 (define @t3939 () (tptp.hAPP @t3938 @t230)) % 54.38/54.67 (define @t3940 () (tptp.hAPP @t3923 @t3939)) % 54.38/54.67 (define @t3941 () (tptp.hBOOL (tptp.hAPP @t3411 @t1753))) % 54.38/54.67 (define @t3942 () (tptp.hAPP @t2261 @t3)) % 54.38/54.67 (define @t3943 () (tptp.c_member @t2395)) % 54.38/54.67 (define @t3944 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3943 (tptp.hAPP @t3942 @t346)) @t1753))) % 54.38/54.67 (define @t3945 () (tptp.hAPP @t3923 @t226)) % 54.38/54.67 (define @t3946 () (tptp.hBOOL (tptp.hAPP @t3387 @t3945))) % 54.38/54.67 (define @t3947 () (@list @t226 @t1753 @t67 @t346 @t17)) % 54.38/54.67 (define @t3948 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 @t2423 @t2423) @t3148) @t3265)) % 54.38/54.67 (define @t3949 () (tptp.c_COMBB @t2423 @t231 @t67)) % 54.38/54.67 (define @t3950 () (tptp.hAPP @t2261 @t36)) % 54.38/54.67 (define @t3951 () (tptp.hAPP @t3950 @t346)) % 54.38/54.67 (define @t3952 () (tptp.hAPP @t3923 @t3313)) % 54.38/54.67 (define @t3953 () (tptp.hAPP @t288 @t176)) % 54.38/54.67 (define @t3954 () (tptp.hAPP @t288 @t125)) % 54.38/54.67 (define @t3955 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3798 @t3837) @t3817)))) % 54.38/54.67 (define @t3956 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3798 @t2414) @t3817)))) % 54.38/54.67 (define @t3957 () (tptp.hAPP @t2210 @t86)) % 54.38/54.67 (define @t3958 () (tptp.tc_fun @t3800 @t3800)) % 54.38/54.67 (define @t3959 () (tptp.tc_fun tptp.tc_Nat_Onat @t3958)) % 54.38/54.67 (define @t3960 () (tptp.tc_fun tptp.tc_Nat_Onat @t3800)) % 54.38/54.67 (define @t3961 () (tptp.c_Relation_OImage @t17 @t17 @t1753)) % 54.38/54.67 (define @t3962 () (tptp.c_COMBB @t231 @t231 @t17)) % 54.38/54.67 (define @t3963 () (tptp.tc_fun @t2621 @t2621)) % 54.38/54.67 (define @t3964 () (tptp.c_Equiv__Relations_Oquotient @t17)) % 54.38/54.67 (define @t3965 () (tptp.hAPP (tptp.hAPP @t3964 @t226) @t1753)) % 54.38/54.67 (define @t3966 () (@list @t1753 @t226 @t17)) % 54.38/54.67 (define @t3967 () (tptp.hAPP @t3961 @t3255)) % 54.38/54.67 (define @t3968 () (tptp.hAPP (tptp.hAPP @t3964 @t3255) @t1753)) % 54.38/54.67 (define @t3969 () (@list @t1753 @t125 @t17)) % 54.38/54.67 (define @t3970 () (tptp.hAPP @t3542 @t3860)) % 54.38/54.67 (define @t3971 () (tptp.hBOOL (tptp.hAPP @t3970 @t1753))) % 54.38/54.67 (define @t3972 () (=> @t3426 @t3971)) % 54.38/54.67 (define @t3973 () (tptp.hAPP @t3961 @t3262)) % 54.38/54.67 (define @t3974 () (tptp.hAPP @t3961 @t3260)) % 54.38/54.67 (define @t3975 () (tptp.c_Equiv__Relations_Oequiv @t17 @t226 @t1753)) % 54.38/54.67 (define @t3976 () (tptp.hAPP @t3901 @t3067)) % 54.38/54.67 (define @t3977 () (tptp.hBOOL (tptp.hAPP @t3976 @t3965))) % 54.38/54.67 (define @t3978 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t17 @t17 @t3532) @t3539) @t1961)) % 54.38/54.67 (define @t3979 () (tptp.c_Relation_OId__on @t17 @t226)) % 54.38/54.67 (define @t3980 () (tptp.tc_fun @t17 @t1991)) % 54.38/54.67 (define @t3981 () (tptp.hAPP (tptp.c_COMBB @t231 @t3980 @t17) @t2481)) % 54.38/54.67 (define @t3982 () (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t17 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t3983 () (@list @t36 @t1753 @t226 @t17)) % 54.38/54.67 (define @t3984 () (= @t3973 @t3974)) % 54.38/54.67 (define @t3985 () (@list @t346 @t36 @t1753 @t226 @t17)) % 54.38/54.67 (define @t3986 () (tptp.hBOOL (tptp.hAPP @t3558 @t1753))) % 54.38/54.67 (define @t3987 () (= @t3067 @t3070)) % 54.38/54.67 (define @t3988 () (tptp.hBOOL (tptp.hAPP @t3424 @t3070))) % 54.38/54.67 (define @t3989 () (tptp.hBOOL (tptp.hAPP @t3349 @t3067))) % 54.38/54.67 (define @t3990 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t3070) @t3965))) % 54.38/54.67 (define @t3991 () (@list @t176 @t125 @t3070 @t3067 @t1753 @t226 @t17)) % 54.38/54.67 (define @t3992 () (= @t3967 (tptp.hAPP @t3961 @t3518))) % 54.38/54.67 (define @t3993 () (@list @t176 @t125 @t1753 @t226 @t17)) % 54.38/54.67 (define @t3994 () (tptp.c_Equiv__Relations_Ocongruent @t17 @t2423 @t1753 @t2)) % 54.38/54.67 (define @t3995 () (@var "V_r2_2" $$unsorted)) % 54.38/54.67 (define @t3996 () (tptp.c_Relation_OImage @t67 @t67 @t3995)) % 54.38/54.67 (define @t3997 () (tptp.c_COMBB @t3372 @t2187 @t17)) % 54.38/54.67 (define @t3998 () (tptp.hAPP @t3144 @t2105)) % 54.38/54.67 (define @t3999 () (@var "V_r1_2" $$unsorted)) % 54.38/54.67 (define @t4000 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t17 @t2187)) % 54.38/54.67 (define @t4001 () (@var "V_A2_2" $$unsorted)) % 54.38/54.67 (define @t4002 () (@var "V_A1_2" $$unsorted)) % 54.38/54.67 (define @t4003 () (tptp.c_Equiv__Relations_Ocongruent2 @t17 @t67 @t2187 @t3999 @t3995 @t2)) % 54.38/54.67 (define @t4004 () (tptp.c_Equiv__Relations_Oequiv @t67 @t4001 @t3995)) % 54.38/54.67 (define @t4005 () (tptp.c_Equiv__Relations_Oequiv @t17 @t4002 @t3999)) % 54.38/54.67 (define @t4006 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t231)) % 54.38/54.67 (define @t4007 () (tptp.hAPP @t4006 @t226)) % 54.38/54.67 (define @t4008 () (tptp.hAPP @t4007 @t230)) % 54.38/54.67 (define @t4009 () (tptp.hBOOL (tptp.hAPP @t4008 @t125))) % 54.38/54.67 (define @t4010 () (tptp.hBOOL (tptp.hAPP @t3360 @t4008))) % 54.38/54.67 (define @t4011 () (tptp.hAPP (tptp.hAPP @t3022 @t4006) @t226)) % 54.38/54.67 (define @t4012 () (tptp.hAPP @t3082 @t3032)) % 54.38/54.67 (define @t4013 () (tptp.hAPP @t3107 (tptp.hAPP (tptp.hAPP @t3024 @t4011) @t230))) % 54.38/54.67 (define @t4014 () (tptp.hAPP (tptp.hAPP @t4006 @t3109) @t230)) % 54.38/54.67 (define @t4015 () (tptp.hAPP @t4006 @t230)) % 54.38/54.67 (define @t4016 () (tptp.hAPP @t3107 (tptp.hAPP (tptp.hAPP @t3017 @t4007) @t230))) % 54.38/54.67 (define @t4017 () (tptp.hAPP @t4007 (tptp.hAPP @t3107 @t230))) % 54.38/54.67 (define @t4018 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2621)) % 54.38/54.67 (define @t4019 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2130)) % 54.38/54.67 (define @t4020 () (tptp.hAPP (tptp.hAPP @t4019 @t226) @t230)) % 54.38/54.67 (define @t4021 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t10)) % 54.38/54.67 (define @t4022 () (tptp.hAPP @t4021 @t149)) % 54.38/54.67 (define @t4023 () (tptp.hAPP @t4022 @t153)) % 54.38/54.67 (define @t4024 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t4023) @t28))) % 54.38/54.67 (define @t4025 () (tptp.class_Lattices_Osemilattice__inf @t10)) % 54.38/54.67 (define @t4026 () (tptp.hAPP @t4021 @t28)) % 54.38/54.67 (define @t4027 () (= (tptp.hAPP @t4026 @t28) @t28)) % 54.38/54.67 (define @t4028 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t17)) % 54.38/54.67 (define @t4029 () (tptp.hAPP @t4021 @t27)) % 54.38/54.67 (define @t4030 () (tptp.hAPP @t4029 @t134)) % 54.38/54.67 (define @t4031 () (tptp.hAPP @t4026 @t4030)) % 54.38/54.67 (define @t4032 () (tptp.hAPP @t4026 @t27)) % 54.38/54.67 (define @t4033 () (= (tptp.hAPP (tptp.hAPP @t4021 @t4032) @t134) @t4031)) % 54.38/54.67 (define @t4034 () (tptp.hAPP @t4021 @t153)) % 54.38/54.67 (define @t4035 () (tptp.hAPP @t4022 (tptp.hAPP @t4034 @t150))) % 54.38/54.67 (define @t4036 () (tptp.hAPP @t4026 @t134)) % 54.38/54.67 (define @t4037 () (= @t4031 (tptp.hAPP @t4029 @t4036))) % 54.38/54.67 (define @t4038 () (= (tptp.hAPP @t4026 @t4032) @t4032)) % 54.38/54.67 (define @t4039 () (tptp.hAPP @t4029 @t28)) % 54.38/54.67 (define @t4040 () (= @t4032 @t4039)) % 54.38/54.67 (define @t4041 () (tptp.hAPP @t4015 @t563)) % 54.38/54.67 (define @t4042 () (tptp.hAPP @t4007 @t4041)) % 54.38/54.67 (define @t4043 () (tptp.hAPP @t4007 @t563)) % 54.38/54.67 (define @t4044 () (tptp.hAPP @t4015 @t226)) % 54.38/54.67 (define @t4045 () (tptp.class_Lattices_Osemilattice__inf @t17)) % 54.38/54.67 (define @t4046 () (tptp.hAPP @t1221 @t4043)) % 54.38/54.67 (define @t4047 () (tptp.hAPP @t4046 @t4041)) % 54.38/54.67 (define @t4048 () (tptp.hAPP @t4006 @t1223)) % 54.38/54.67 (define @t4049 () (tptp.hAPP @t4006 @t563)) % 54.38/54.67 (define @t4050 () (tptp.hAPP @t4049 @t226)) % 54.38/54.67 (define @t4051 () (@list @t230 @t226 @t563 @t17)) % 54.38/54.67 (define @t4052 () (tptp.hBOOL (tptp.hAPP @t76 @t4023))) % 54.38/54.67 (define @t4053 () (tptp.hAPP @t75 @t4023)) % 54.38/54.67 (define @t4054 () (tptp.hBOOL (tptp.hAPP @t4053 @t28))) % 54.38/54.67 (define @t4055 () (tptp.hAPP @t4028 @t125)) % 54.38/54.67 (define @t4056 () (tptp.hAPP @t4055 @t176)) % 54.38/54.67 (define @t4057 () (tptp.hAPP @t75 @t4032)) % 54.38/54.67 (define @t4058 () (tptp.hBOOL (tptp.hAPP @t4057 @t27))) % 54.38/54.67 (define @t4059 () (tptp.hBOOL (tptp.hAPP @t4057 @t28))) % 54.38/54.67 (define @t4060 () (tptp.hAPP @t232 @t4008)) % 54.38/54.67 (define @t4061 () (tptp.hBOOL (tptp.hAPP @t3164 @t226))) % 54.38/54.67 (define @t4062 () (tptp.hAPP (tptp.hAPP @t3104 @t4011) @t230)) % 54.38/54.67 (define @t4063 () (tptp.class_Lattices_Odistrib__lattice @t10)) % 54.38/54.67 (define @t4064 () (tptp.hAPP (tptp.hAPP @t4021 @t2983) @t2988)) % 54.38/54.67 (define @t4065 () (tptp.hAPP @t2977 @t4030)) % 54.38/54.67 (define @t4066 () (tptp.hAPP (tptp.hAPP @t2974 @t4032) @t4036)) % 54.38/54.67 (define @t4067 () (tptp.hAPP @t4026 @t2989)) % 54.38/54.67 (define @t4068 () (tptp.hAPP @t3005 @t226)) % 54.38/54.67 (define @t4069 () (tptp.hAPP @t4006 @t2952)) % 54.38/54.67 (define @t4070 () (tptp.hAPP @t2923 @t4008)) % 54.38/54.67 (define @t4071 () (@list @t226 @t563 @t230 @t17)) % 54.38/54.67 (define @t4072 () (tptp.hAPP @t4007 @t2970)) % 54.38/54.67 (define @t4073 () (= @t4008 @t3254)) % 54.38/54.67 (define @t4074 () (tptp.hAPP @t3145 @t4008)) % 54.38/54.67 (define @t4075 () (@list @t230 @t226 @t36 @t17)) % 54.38/54.67 (define @t4076 () (tptp.hAPP @t4021 @t1121)) % 54.38/54.67 (define @t4077 () (tptp.hAPP @t2974 @t1121)) % 54.38/54.67 (define @t4078 () (tptp.hAPP @t4007 @t3146)) % 54.38/54.67 (define @t4079 () (=> @t3369 (= @t4078 @t4008))) % 54.38/54.67 (define @t4080 () (=> @t3368 (= @t4078 @t4074))) % 54.38/54.67 (define @t4081 () (tptp.hAPP (tptp.hAPP @t4006 @t3146) @t563)) % 54.38/54.67 (define @t4082 () (tptp.hBOOL (tptp.hAPP @t3367 @t563))) % 54.38/54.67 (define @t4083 () (=> (not @t4082) (= @t4081 @t4041))) % 54.38/54.67 (define @t4084 () (=> @t4082 (= @t4081 (tptp.hAPP @t3145 @t4041)))) % 54.38/54.67 (define @t4085 () (@list @t230 @t563 @t36 @t17)) % 54.38/54.67 (define @t4086 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t67)) % 54.38/54.67 (define @t4087 () (tptp.hAPP (tptp.hAPP @t4086 @t3009) @t3008)) % 54.38/54.67 (define @t4088 () (tptp.hAPP @t4028 @t226)) % 54.38/54.67 (define @t4089 () (tptp.class_Lattices_Osemilattice__inf @t67)) % 54.38/54.67 (define @t4090 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2423)) % 54.38/54.67 (define @t4091 () (tptp.hAPP @t4090 @t226)) % 54.38/54.67 (define @t4092 () (tptp.hAPP @t4091 @t230)) % 54.38/54.67 (define @t4093 () (tptp.hAPP @t2923 @t1223)) % 54.38/54.67 (define @t4094 () (tptp.hAPP @t4006 @t3040)) % 54.38/54.67 (define @t4095 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1986)) % 54.38/54.67 (define @t4096 () (tptp.hAPP @t4006 @t1220)) % 54.38/54.67 (define @t4097 () (tptp.hAPP (tptp.hAPP @t4006 @t3927) @t3926)) % 54.38/54.67 (define @t4098 () (tptp.hAPP @t3925 @t4092)) % 54.38/54.67 (define @t4099 () (@list @t230 @t226 @t2186 @t67 @t17)) % 54.38/54.67 (define @t4100 () (tptp.hAPP @t4006 @t3044)) % 54.38/54.67 (define @t4101 () (tptp.hAPP (tptp.hAPP @t3068 @t4090) @t226)) % 54.38/54.67 (define @t4102 () (tptp.hAPP @t3326 (tptp.hAPP (tptp.hAPP @t2485 @t4101) @t230))) % 54.38/54.67 (define @t4103 () (tptp.hAPP @t3326 @t226)) % 54.38/54.67 (define @t4104 () (tptp.hAPP (tptp.hAPP @t4090 @t4103) @t230)) % 54.38/54.67 (define @t4105 () (tptp.hAPP @t3326 (tptp.hAPP (tptp.hAPP @t3305 @t4091) @t230))) % 54.38/54.67 (define @t4106 () (tptp.hAPP @t4091 (tptp.hAPP @t3326 @t230))) % 54.38/54.67 (define @t4107 () (tptp.c_Equiv__Relations_Ocongruent2 @t17 @t67 @t1945 @t3999 @t3995 @t2)) % 54.38/54.67 (define @t4108 () (tptp.hAPP @t4028 @t36)) % 54.38/54.67 (define @t4109 () (tptp.hAPP @t2286 @t346)) % 54.38/54.67 (define @t4110 () (tptp.hAPP @t4109 @t863)) % 54.38/54.67 (define @t4111 () (tptp.hAPP @t3712 @t55)) % 54.38/54.67 (define @t4112 () (tptp.hAPP @t4006 @t2739)) % 54.38/54.67 (define @t4113 () (tptp.hAPP @t4006 @t3050)) % 54.38/54.67 (define @t4114 () (tptp.hAPP @t4006 @t2932)) % 54.38/54.67 (define @t4115 () (tptp.hAPP @t4006 @t2922)) % 54.38/54.67 (define @t4116 () (tptp.hAPP @t4006 @t3055)) % 54.38/54.67 (define @t4117 () (tptp.hAPP @t3180 @t2958)) % 54.38/54.67 (define @t4118 () (@list @t230 @t226 @t3180 @t1 @t522 @t2 @t67 @t17)) % 54.38/54.67 (define @t4119 () (tptp.hAPP @t3188 (tptp.hAPP @t2859 @t230))) % 54.38/54.67 (define @t4120 () (tptp.hAPP @t2859 @t2952)) % 54.38/54.67 (define @t4121 () (@list @t1 @t230 @t226 @t17 @t67)) % 54.38/54.67 (define @t4122 () (tptp.hAPP @t3755 @t230)) % 54.38/54.67 (define @t4123 () (tptp.hAPP @t3759 @t4122)) % 54.38/54.67 (define @t4124 () (tptp.hAPP @t3755 @t2952)) % 54.38/54.67 (define @t4125 () (tptp.hAPP @t3252 @t3205)) % 54.38/54.67 (define @t4126 () (tptp.hAPP @t2880 @t4008)) % 54.38/54.67 (define @t4127 () (tptp.hAPP @t2880 @t2952)) % 54.38/54.67 (define @t4128 () (tptp.hAPP (tptp.hAPP @t760 @t4127) @t4126)) % 54.38/54.67 (define @t4129 () (tptp.hAPP @t3429 @t230)) % 54.38/54.67 (define @t4130 () (tptp.hAPP (tptp.hAPP @t2858 (tptp.hAPP (tptp.hAPP @t3494 (tptp.hAPP (tptp.hAPP @t3493 (tptp.hAPP @t3492 @t4129)) @t2)) @t3170)) @t226)) % 54.38/54.67 (define @t4131 () (tptp.hAPP @t2860 @t4008)) % 54.38/54.67 (define @t4132 () (@list @t230 @t2 @t226 @t17 @t67)) % 54.38/54.67 (define @t4133 () (= @t4117 @t3895)) % 54.38/54.67 (define @t4134 () (tptp.hAPP @t3180 @t4008)) % 54.38/54.67 (define @t4135 () (not @t4073)) % 54.38/54.67 (define @t4136 () (tptp.c_COMBB @t67 @t2423 @t17)) % 54.38/54.67 (define @t4137 () (tptp.hAPP (tptp.hAPP @t4136 tptp.c_fequal) @t2)) % 54.38/54.67 (define @t4138 () (tptp.c_COMBB @t67 tptp.tc_HOL_Obool @t17)) % 54.38/54.67 (define @t4139 () (tptp.tc_fun @t130 @t231)) % 54.38/54.67 (define @t4140 () (tptp.hAPP @t3542 @t3)) % 54.38/54.67 (define @t4141 () (tptp.hBOOL (tptp.hAPP @t4140 @t1753))) % 54.38/54.67 (define @t4142 () (tptp.c_Equiv__Relations_Ocongruent @t17 @t67 @t1753 @t2)) % 54.38/54.67 (define @t4143 () (= @t4120 @t4119)) % 54.38/54.67 (define @t4144 () (= @t4124 @t4123)) % 54.38/54.67 (define @t4145 () (= @t4127 @t4125)) % 54.38/54.67 (define @t4146 () (@var "V_z2_2" $$unsorted)) % 54.38/54.67 (define @t4147 () (@var "V_z1_2" $$unsorted)) % 54.38/54.67 (define @t4148 () (@var "V_y2_2" $$unsorted)) % 54.38/54.67 (define @t4149 () (@var "V_y1_2" $$unsorted)) % 54.38/54.67 (define @t4150 () (tptp.hAPP @t3539 @t176)) % 54.38/54.67 (define @t4151 () (tptp.hAPP @t3542 (tptp.hAPP @t4150 @t522))) % 54.38/54.67 (define @t4152 () (tptp.hAPP @t3542 (tptp.hAPP @t3540 @t283))) % 54.38/54.67 (define @t4153 () (tptp.hBOOL (tptp.hAPP @t4152 @t1753))) % 54.38/54.67 (define @t4154 () (= @t5 @t284)) % 54.38/54.67 (define @t4155 () (tptp.hAPP @t2420 @t283)) % 54.38/54.67 (define @t4156 () (tptp.hBOOL (tptp.hAPP @t4155 @t226))) % 54.38/54.67 (define @t4157 () (@list @t283)) % 54.38/54.67 (define @t4158 () (tptp.hAPP (tptp.hAPP @t3072 @t3067) @t2)) % 54.38/54.67 (define @t4159 () (@var "V_X2_2" $$unsorted)) % 54.38/54.67 (define @t4160 () (@var "V_X1_2" $$unsorted)) % 54.38/54.67 (define @t4161 () (tptp.c_member @t2187)) % 54.38/54.67 (define @t4162 () (@var "B_x2" $$unsorted)) % 54.38/54.67 (define @t4163 () (tptp.c_member @t2423)) % 54.38/54.67 (define @t4164 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3442)) % 54.38/54.67 (define @t4165 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2435)) % 54.38/54.67 (define @t4166 () (= @t663 @t56)) % 54.38/54.67 (define @t4167 () (tptp.hBOOL (tptp.hAPP @t2421 @t4008))) % 54.38/54.67 (define @t4168 () (tptp.hAPP (tptp.hAPP @t2923 @t2909) @t3863)) % 54.38/54.67 (define @t4169 () (tptp.hBOOL (tptp.hAPP @t2421 (tptp.hAPP (tptp.hAPP @t4006 @t2909) @t3863)))) % 54.38/54.67 (define @t4170 () (forall @t7 (=> @t4169 @t3866))) % 54.38/54.67 (define @t4171 () (@list @t2 @t3863 @t2909 @t17 @t67)) % 54.38/54.67 (define @t4172 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4165 @t226) @t230) @t125) @t176))) % 54.38/54.67 (define @t4173 () (forall @t7 (=> @t2422 @t3544))) % 54.38/54.67 (define @t4174 () (tptp.hAPP @t2481 @t3915)) % 54.38/54.67 (define @t4175 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t17)) % 54.38/54.67 (define @t4176 () (tptp.hAPP (tptp.c_COMBB @t1991 @t3021 @t17) @t4175)) % 54.38/54.67 (define @t4177 () (tptp.hAPP @t3315 (tptp.hAPP @t4176 @t4174))) % 54.38/54.67 (define @t4178 () (tptp.c_Relation_Orefl__on @t17 @t226 @t1753)) % 54.38/54.67 (define @t4179 () (tptp.hAPP @t4055 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 @t3256))) % 54.38/54.67 (define @t4180 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 @t226)) % 54.38/54.67 (define @t4181 () (tptp.hAPP @t3901 @t3)) % 54.38/54.67 (define @t4182 () (tptp.c_Relation_Orefl__on @t17 @t230 @t2232)) % 54.38/54.67 (define @t4183 () (@list @t2232 @t230 @t1753 @t226 @t17)) % 54.38/54.67 (define @t4184 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3533)) % 54.38/54.67 (define @t4185 () (tptp.hAPP @t4184 @t1753)) % 54.38/54.67 (define @t4186 () (tptp.hAPP @t4185 @t2232)) % 54.38/54.67 (define @t4187 () (tptp.hAPP @t2967 @t36)) % 54.38/54.67 (define @t4188 () (tptp.hAPP @t4055 @t4180)) % 54.38/54.67 (define @t4189 () (tptp.hAPP @t3542 (tptp.hAPP @t3685 @t36))) % 54.38/54.67 (define @t4190 () (tptp.hBOOL (tptp.hAPP @t4189 @t1753))) % 54.38/54.67 (define @t4191 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 @t3156)) % 54.38/54.67 (define @t4192 () (=> @t3276 (= @t4191 @t4188))) % 54.38/54.67 (define @t4193 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 @t230)) % 54.38/54.67 (define @t4194 () (tptp.hAPP (tptp.hAPP @t4028 @t4180) @t4193)) % 54.38/54.67 (define @t4195 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 @t2952)) % 54.38/54.67 (define @t4196 () (= @t4195 @t4194)) % 54.38/54.67 (define @t4197 () (tptp.hAPP (tptp.hAPP @t4028 @t3) @t283)) % 54.38/54.67 (define @t4198 () (tptp.c_Fun_Oinj__on @t17 @t2621 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t3533 @t2621) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 (tptp.tc_fun @t3533 @t2621) @t17) @t3964) @t3316)) @t1753) @t226)) % 54.38/54.67 (define @t4199 () (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t230)) % 54.38/54.67 (define @t4200 () (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t226)) % 54.38/54.67 (define @t4201 () (not @t201)) % 54.38/54.67 (define @t4202 () (@list @t176 @t125 @t226 @t2 @t67 @t17)) % 54.38/54.67 (define @t4203 () (@list @t226 @t230 @t2 @t67 @t17)) % 54.38/54.67 (define @t4204 () (tptp.c_Fun_Oinj__on @t67 @t17 @t2 @t226)) % 54.38/54.67 (define @t4205 () (= (= @t2819 @t2818) @t499)) % 54.38/54.67 (define @t4206 () (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t2952)) % 54.38/54.67 (define @t4207 () (= @t3234 @t2881)) % 54.38/54.67 (define @t4208 () (tptp.c_Fun_Oinj__on @t17 @t17 @t2 @t226)) % 54.38/54.67 (define @t4209 () (tptp.c_Set_Oimage @t17 @t17 @t2)) % 54.38/54.67 (define @t4210 () (tptp.hAPP @t4209 @t226)) % 54.38/54.67 (define @t4211 () (= (tptp.hAPP @t2817 @t4008) (tptp.hAPP (tptp.hAPP @t4090 @t2819) @t2818))) % 54.38/54.67 (define @t4212 () (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t563)) % 54.38/54.67 (define @t4213 () (@list @t230 @t226 @t563 @t2 @t67 @t17)) % 54.38/54.67 (define @t4214 () (tptp.hAPP @t2817 @t1223)) % 54.38/54.67 (define @t4215 () (= @t4214 (tptp.hAPP (tptp.hAPP @t2847 @t2819) @t2818))) % 54.38/54.67 (define @t4216 () (tptp.hAPP @t1928 @t176)) % 54.38/54.67 (define @t4217 () (tptp.hBOOL (tptp.hAPP @t4216 @t2819))) % 54.38/54.67 (define @t4218 () (tptp.c_Set_Oimage @t67 @t17 @t1)) % 54.38/54.67 (define @t4219 () (tptp.hBOOL (tptp.hAPP @t2821 @t230))) % 54.38/54.67 (define @t4220 () (tptp.hAPP @t1928 @t2181)) % 54.38/54.67 (define @t4221 () (@list @t226 @t36 @t2 @t67 @t17)) % 54.38/54.67 (define @t4222 () (tptp.hBOOL (tptp.hAPP @t3232 @t3251))) % 54.38/54.67 (define @t4223 () (tptp.hAPP @t2820 (tptp.hAPP (tptp.c_Set_Oimage @t17 @t67 @t3905) @t226))) % 54.38/54.67 (define @t4224 () (tptp.c_Fun_Oinj__on @t17 @t67 @t3905 @t226)) % 54.38/54.67 (define @t4225 () (@var "B_g" $$unsorted)) % 54.38/54.67 (define @t4226 () (tptp.c_Fun_Othe__inv__into @t17 @t67 @t226 @t2)) % 54.38/54.67 (define @t4227 () (tptp.hAPP @t4226 @t125)) % 54.38/54.67 (define @t4228 () (tptp.hAPP (tptp.c_COMBC @t67 @t17 @t2395) @t2261)) % 54.38/54.67 (define @t4229 () (tptp.hAPP @t4226 @t176)) % 54.38/54.67 (define @t4230 () (@list @t125 @t226 @t2 @t67 @t17)) % 54.38/54.67 (define @t4231 () (tptp.c_COMBC @t17 @t67 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4232 () (tptp.hAPP @t4231 @t4137)) % 54.38/54.67 (define @t4233 () (tptp.c_COMBS @t17 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4234 () (tptp.hAPP @t4233 @t4174)) % 54.38/54.67 (define @t4235 () (tptp.c_Finite__Set_Ofold__image @t67 @t17 @t3605)) % 54.38/54.67 (define @t4236 () (tptp.hAPP @t4235 @t1)) % 54.38/54.67 (define @t4237 () (tptp.hAPP @t4236 @t3754)) % 54.38/54.67 (define @t4238 () (tptp.hAPP @t4237 @t226)) % 54.38/54.67 (define @t4239 () (tptp.hAPP @t3605 @t4238)) % 54.38/54.67 (define @t4240 () (tptp.hAPP @t4239 (tptp.hAPP @t4237 @t230))) % 54.38/54.67 (define @t4241 () (tptp.hAPP @t4237 @t2952)) % 54.38/54.67 (define @t4242 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t17 @t67 @t2) @t1)) % 54.38/54.67 (define @t4243 () (tptp.hAPP @t4242 @t522)) % 54.38/54.67 (define @t4244 () (tptp.hAPP @t4243 @t226)) % 54.38/54.67 (define @t4245 () (tptp.hAPP @t4235 @t53)) % 54.38/54.67 (define @t4246 () (tptp.hAPP @t4236 @t522)) % 54.38/54.67 (define @t4247 () (tptp.hAPP @t4246 @t226)) % 54.38/54.67 (define @t4248 () (tptp.class_Groups_Oab__semigroup__mult @t67)) % 54.38/54.67 (define @t4249 () (=> @t3172 (= @t3175 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t67 @t17 @t3187) @t1) @t3170) @t226)))) % 54.38/54.67 (define @t4250 () (=> @t3172 (= @t3756 @t4238))) % 54.38/54.67 (define @t4251 () (=> @t3172 (= @t2881 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t17 @t760) @t2879) @t56) @t226)))) % 54.38/54.67 (define @t4252 () (tptp.hAPP @t3180 @t1)) % 54.38/54.67 (define @t4253 () (tptp.hAPP @t4252 @t226)) % 54.38/54.67 (define @t4254 () (=> (not @t3563) (= @t4253 @t522))) % 54.38/54.67 (define @t4255 () (=> @t3563 (= @t4253 @t4244))) % 54.38/54.67 (define @t4256 () (tptp.c_Big__Operators_Ocomm__monoid__big @t17 @t67 @t2 @t522 @t3180)) % 54.38/54.67 (define @t4257 () (@list @t1 @t226 @t3180 @t522 @t2 @t67 @t17)) % 54.38/54.67 (define @t4258 () (tptp.hAPP (tptp.hAPP @t4235 @t2) @t3754)) % 54.38/54.67 (define @t4259 () (tptp.hAPP @t4258 @t2909)) % 54.38/54.67 (define @t4260 () (not @t3426)) % 54.38/54.67 (define @t4261 () (tptp.c_Finite__Set_Ofold__graph @t17 @t17 @t349 @t346 @t226)) % 54.38/54.67 (define @t4262 () (tptp.class_Groups_Oab__semigroup__mult @t17)) % 54.38/54.67 (define @t4263 () (tptp.c_Finite__Set_Ofold__graph @t17 @t67 @t2 @t522 @t226)) % 54.38/54.67 (define @t4264 () (tptp.hBOOL (tptp.hAPP @t4263 @t125))) % 54.38/54.67 (define @t4265 () (tptp.c_Finite__Set_Ofold__graph @t17 @t67 @t2 @t522 @t3254)) % 54.38/54.67 (define @t4266 () (= @t125 @t522)) % 54.38/54.67 (define @t4267 () (tptp.c_Finite__Set_Ofold__graph @t17 @t67 @t2 @t522 @t3156)) % 54.38/54.67 (define @t4268 () (tptp.hBOOL (tptp.hAPP @t4263 @t176))) % 54.38/54.67 (define @t4269 () (@list @t176 @t125 @t226 @t522 @t2 @t67 @t17)) % 54.38/54.67 (define @t4270 () (tptp.c_Orderings_Otop__class_Otop @t10)) % 54.38/54.67 (define @t4271 () (tptp.c_Wellfounded_Oacc @t17 @t1753)) % 54.38/54.67 (define @t4272 () (tptp.hBOOL (tptp.hAPP @t3349 @t4271))) % 54.38/54.67 (define @t4273 () (tptp.hAPP @t3834 @t1753)) % 54.38/54.67 (define @t4274 () (@list @t125 @t1753 @t17)) % 54.38/54.67 (define @t4275 () (tptp.c_Orderings_Otop__class_Otop @t231)) % 54.38/54.67 (define @t4276 () (tptp.class_Lattices_Obounded__lattice__top @t10)) % 54.38/54.67 (define @t4277 () (tptp.c_Orderings_Otop__class_Otop @t17)) % 54.38/54.67 (define @t4278 () (tptp.c_Orderings_Otop__class_Otop @t2423)) % 54.38/54.67 (define @t4279 () (tptp.c_Set_Oimage @t67 @t1945 @t1)) % 54.38/54.67 (define @t4280 () (tptp.c_Set_Oimage @t1945 @t17 @t2)) % 54.38/54.67 (define @t4281 () (forall @t7 (=> @t1930 (= @t2417 @t4275)))) % 54.38/54.67 (define @t4282 () (tptp.c_Orderings_Otop__class_Otop @t3442)) % 54.38/54.67 (define @t4283 () (tptp.c_Finite__Set_Ofinite @t2172)) % 54.38/54.67 (define @t4284 () (tptp.hBOOL (tptp.hAPP @t3204 @t4278))) % 54.38/54.67 (define @t4285 () (tptp.hBOOL (tptp.hAPP @t3130 @t4275))) % 54.38/54.67 (define @t4286 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t130 tptp.tc_HOL_Obool))) % 54.38/54.67 (define @t4287 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t130) @t4286))) % 54.38/54.67 (define @t4288 () (tptp.c_Orderings_Otop__class_Otop @t3345)) % 54.38/54.67 (define @t4289 () (tptp.c_Orderings_Otop__class_Otop @t1986)) % 54.38/54.67 (define @t4290 () (tptp.c_Orderings_Otop__class_Otop @t2621)) % 54.38/54.67 (define @t4291 () (tptp.c_Orderings_Otop__class_Otop @t3800)) % 54.38/54.67 (define @t4292 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t1986) @t4289)) % 54.38/54.67 (define @t4293 () (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t4275)) % 54.38/54.67 (define @t4294 () (tptp.c_Finite__Set_Ofold1Set @t17 @t2 @t226)) % 54.38/54.67 (define @t4295 () (tptp.hAPP @t2825 @t4278)) % 54.38/54.67 (define @t4296 () (tptp.hAPP @t2420 @t127)) % 54.38/54.67 (define @t4297 () (tptp.hAPP @t2880 @t4275)) % 54.38/54.67 (define @t4298 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t176)) % 54.38/54.67 (define @t4299 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2771 @t176) @t4289))) % 54.38/54.67 (define @t4300 () (tptp.hAPP @t3072 @t4275)) % 54.38/54.67 (define @t4301 () (tptp.hAPP (tptp.hAPP @t3305 @t3584) @t1753)) % 54.38/54.67 (define @t4302 () (@list @t125 @t1753 @t67 @t17)) % 54.38/54.67 (define @t4303 () (tptp.hAPP @t2424 @t4275)) % 54.38/54.67 (define @t4304 () (tptp.hAPP @t2425 @t3281)) % 54.38/54.67 (define @t4305 () (tptp.tc_fun @t1945 @t67)) % 54.38/54.67 (define @t4306 () (= @t283 @t3)) % 54.38/54.67 (define @t4307 () (tptp.c_Fun_Oinj__on @t17 @t17 @t2 @t4275)) % 54.38/54.67 (define @t4308 () (= (tptp.hAPP @t4209 @t4275) @t4275)) % 54.38/54.67 (define @t4309 () (tptp.c_Groups_Ouminus__class_Ouminus @t2423)) % 54.38/54.67 (define @t4310 () (tptp.hAPP @t4309 @t226)) % 54.38/54.67 (define @t4311 () (= @t4295 @t4275)) % 54.38/54.67 (define @t4312 () (tptp.hAPP (tptp.hAPP @t3068 @t2847) @t226)) % 54.38/54.67 (define @t4313 () (tptp.hAPP @t3326 (tptp.hAPP (tptp.hAPP @t2485 @t4312) @t230))) % 54.38/54.67 (define @t4314 () (tptp.hAPP (tptp.hAPP @t2847 @t4103) @t230)) % 54.38/54.67 (define @t4315 () (@list @t176)) % 54.38/54.67 (define @t4316 () (tptp.hBOOL (tptp.hAPP @t3367 @t4271))) % 54.38/54.67 (define @t4317 () (tptp.hBOOL (tptp.hAPP @t3387 @t4271))) % 54.38/54.67 (define @t4318 () (tptp.hBOOL (tptp.hAPP @t2421 @t4271))) % 54.38/54.67 (define @t4319 () (@list @t1753 @t36 @t17)) % 54.38/54.67 (define @t4320 () (tptp.hAPP @t3065 @t4289)) % 54.38/54.67 (define @t4321 () (tptp.hAPP @t4320 @t226)) % 54.38/54.67 (define @t4322 () (tptp.tc_fun tptp.tc_Nat_Onat @t231)) % 54.38/54.67 (define @t4323 () (tptp.tc_fun @t2169 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4324 () (tptp.c_member @t2169)) % 54.38/54.67 (define @t4325 () (tptp.hAPP @t4324 @t2534)) % 54.38/54.67 (define @t4326 () (tptp.tc_fun @t4323 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4327 () (tptp.tc_fun @t1945 @t4326)) % 54.38/54.67 (define @t4328 () (tptp.tc_fun @t1945 @t2169)) % 54.38/54.67 (define @t4329 () (tptp.hAPP (tptp.c_COMBC @t67 @t4323 @t2187) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4327 (tptp.tc_fun @t4323 @t2187) @t67) (tptp.c_COMBC @t1945 @t4323 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4328 @t4327 @t67) (tptp.hAPP (tptp.c_COMBB @t2169 @t4326 @t1945) @t4324)) @t2204)))) % 54.38/54.67 (define @t4330 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4323 @t3372 @t17) @t4329) @t1753)) % 54.38/54.67 (define @t4331 () (@list @t176 @t125 @t1753 @t1945 @t67 @t17)) % 54.38/54.67 (define @t4332 () (tptp.hAPP @t4320 @t230)) % 54.38/54.67 (define @t4333 () (tptp.hAPP @t232 @t4321)) % 54.38/54.67 (define @t4334 () (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t2718 (tptp.hAPP (tptp.hAPP @t760 @t16) @t359))) @t230)) % 54.38/54.67 (define @t4335 () (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t2718 @t16)) @t226)) % 54.38/54.67 (define @t4336 () (tptp.hAPP @t232 @t4335)) % 54.38/54.67 (define @t4337 () (@list @t230 @t359 @t226 @t17)) % 54.38/54.67 (define @t4338 () (@list @t563 @t226 @t17)) % 54.38/54.67 (define @t4339 () (tptp.hAPP @t2186 @t283)) % 54.38/54.67 (define @t4340 () (tptp.hAPP @t2186 @t3)) % 54.38/54.67 (define @t4341 () (= @t4340 @t4339)) % 54.38/54.67 (define @t4342 () (tptp.hBOOL (tptp.hAPP @t4340 @t283))) % 54.38/54.67 (define @t4343 () (tptp.c_Equiv__Relations_Oequivp @t17 @t2186)) % 54.38/54.67 (define @t4344 () (@list @t2186 @t17)) % 54.38/54.67 (define @t4345 () (tptp.hAPP @t2186 @t176)) % 54.38/54.67 (define @t4346 () (tptp.hBOOL (tptp.hAPP @t3705 @t176))) % 54.38/54.67 (define @t4347 () (=> @t4346 (tptp.hBOOL (tptp.hAPP @t4345 @t125)))) % 54.38/54.67 (define @t4348 () (@list @t176 @t125 @t2186 @t17)) % 54.38/54.67 (define @t4349 () (=> @t4346 (=> (tptp.hBOOL (tptp.hAPP @t4345 @t522)) (tptp.hBOOL (tptp.hAPP @t3705 @t522))))) % 54.38/54.67 (define @t4350 () (@list @t522 @t176 @t125 @t2186 @t17)) % 54.38/54.67 (define @t4351 () (tptp.c_member @t3800)) % 54.38/54.67 (define @t4352 () (tptp.c_Set_Ovimage @t17 @t67 @t2)) % 54.38/54.67 (define @t4353 () (tptp.hAPP @t4352 @t3313)) % 54.38/54.67 (define @t4354 () (@list @t36 @t2 @t67 @t17)) % 54.38/54.67 (define @t4355 () (tptp.c_Set_Ovimage @t67 @t17 @t2)) % 54.38/54.67 (define @t4356 () (tptp.hAPP @t4355 @t230)) % 54.38/54.67 (define @t4357 () (= @t2181 @t346)) % 54.38/54.67 (define @t4358 () (tptp.hAPP @t4352 @t226)) % 54.38/54.67 (define @t4359 () (tptp.hAPP @t4355 @t226)) % 54.38/54.67 (define @t4360 () (tptp.hAPP @t4352 @t230)) % 54.38/54.67 (define @t4361 () (tptp.hAPP (tptp.hAPP @t3100 @t4352) @t230)) % 54.38/54.67 (define @t4362 () (@list @t230 @t226 @t1945 @t2 @t67 @t17)) % 54.38/54.67 (define @t4363 () (tptp.hAPP @t2825 @t4359)) % 54.38/54.67 (define @t4364 () (tptp.hAPP @t3148 @t346)) % 54.38/54.67 (define @t4365 () (tptp.hAPP @t2246 @t55)) % 54.38/54.67 (define @t4366 () (tptp.hAPP (tptp.c_Set_Ovimage @t67 @t17 @t4365) @t226)) % 54.38/54.67 (define @t4367 () (@list @t230 @t2 @t67 @t17)) % 54.38/54.67 (define @t4368 () (tptp.hAPP @t3584 @t230)) % 54.38/54.67 (define @t4369 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2006 @t67) @t2004)) % 54.38/54.67 (define @t4370 () (tptp.hAPP (tptp.c_Set_Ovimage @t67 @t17 (tptp.hAPP (tptp.hAPP @t2698 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 @t17 @t2005) (tptp.hAPP @t4369 @t4368)) @t55)) @t863)) @t226)) % 54.38/54.67 (define @t4371 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t863) @t226))) % 54.38/54.67 (define @t4372 () (not @t4371)) % 54.38/54.67 (define @t4373 () (@var "V_Rep_2" $$unsorted)) % 54.38/54.67 (define @t4374 () (@var "V_Abs_2" $$unsorted)) % 54.38/54.67 (define @t4375 () (tptp.c_Typedef_Otype__definition @t17 @t67 @t4373 @t4374 @t226)) % 54.38/54.67 (define @t4376 () (@list @t226 @t4374 @t4373 @t67 @t17)) % 54.38/54.67 (define @t4377 () (tptp.hAPP @t4373 @t125)) % 54.38/54.67 (define @t4378 () (@list @t125 @t226 @t4374 @t4373 @t67 @t17)) % 54.38/54.67 (define @t4379 () (@list @t176 @t125 @t226 @t4374 @t4373 @t67 @t17)) % 54.38/54.67 (define @t4380 () (tptp.hAPP @t4374 @t176)) % 54.38/54.67 (define @t4381 () (tptp.hBOOL (tptp.hAPP @t4216 @t226))) % 54.38/54.67 (define @t4382 () (tptp.hBOOL (tptp.hAPP @t4340 @t2785))) % 54.38/54.67 (define @t4383 () (tptp.hBOOL (tptp.hAPP @t3093 @t3574))) % 54.38/54.67 (define @t4384 () (tptp.hBOOL (tptp.hAPP @t2421 @t2105))) % 54.38/54.67 (define @t4385 () (not @t3667)) % 54.38/54.67 (define @t4386 () (tptp.hBOOL (tptp.hAPP @t3130 @t3574))) % 54.38/54.67 (define @t4387 () (tptp.hBOOL (tptp.hAPP @t3130 @t2105))) % 54.38/54.67 (define @t4388 () (tptp.hAPP @t3542 (tptp.hAPP @t3540 @t2785))) % 54.38/54.67 (define @t4389 () (tptp.hBOOL (tptp.hAPP @t4388 @t2186))) % 54.38/54.67 (define @t4390 () (tptp.hBOOL (tptp.hAPP @t3093 @t3070))) % 54.38/54.67 (define @t4391 () (tptp.hBOOL (tptp.hAPP @t2421 @t3067))) % 54.38/54.67 (define @t4392 () (not (= @t3070 @t3254))) % 54.38/54.67 (define @t4393 () (tptp.hBOOL (tptp.hAPP @t3130 @t3070))) % 54.38/54.67 (define @t4394 () (tptp.hBOOL (tptp.hAPP @t3130 @t3067))) % 54.38/54.67 (define @t4395 () (@list @t2186 @t3070 @t3067 @t17)) % 54.38/54.67 (define @t4396 () (tptp.c_Finite__Set_Ofold__graph @t17 @t17 @t2 @t2109 @t3890)) % 54.38/54.67 (define @t4397 () (tptp.hAPP @t3889 @t3890)) % 54.38/54.67 (define @t4398 () (tptp.hAPP @t3998 @t3574)) % 54.38/54.67 (define @t4399 () (tptp.hAPP @t3145 @t3067)) % 54.38/54.67 (define @t4400 () (tptp.tc_fun @t2187 @t2187)) % 54.38/54.67 (define @t4401 () (tptp.c_Product__Type_OSigma @t17 @t67)) % 54.38/54.67 (define @t4402 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t2174 @t1945) @t2171) @t2)) % 54.38/54.67 (define @t4403 () (tptp.c_Finite__Set_Ofold1 @t17 @t349)) % 54.38/54.67 (define @t4404 () (tptp.hAPP @t4403 @t226)) % 54.38/54.67 (define @t4405 () (= (tptp.hAPP @t4403 @t2952) (tptp.hAPP (tptp.hAPP @t349 @t4404) (tptp.hAPP @t4403 @t230)))) % 54.38/54.67 (define @t4406 () (tptp.hAPP @t4401 @t226)) % 54.38/54.67 (define @t4407 () (tptp.hAPP @t4406 @t230)) % 54.38/54.67 (define @t4408 () (tptp.hBOOL (tptp.hAPP @t3411 @t4407))) % 54.38/54.67 (define @t4409 () (tptp.hAPP @t3279 @t563)) % 54.38/54.67 (define @t4410 () (tptp.c_Product__Type_OSigma @t67 @t17)) % 54.38/54.67 (define @t4411 () (tptp.hAPP (tptp.hAPP @t4410 @t230) @t4409)) % 54.38/54.67 (define @t4412 () (tptp.hAPP @t4410 @t226)) % 54.38/54.67 (define @t4413 () (tptp.hAPP @t4412 @t4409)) % 54.38/54.67 (define @t4414 () (tptp.hBOOL (tptp.hAPP @t3349 @t563))) % 54.38/54.67 (define @t4415 () (@list @t230 @t226 @t67 @t563 @t125 @t17)) % 54.38/54.67 (define @t4416 () (tptp.hAPP (tptp.hAPP @t4401 @t3032) @t563)) % 54.38/54.67 (define @t4417 () (tptp.hAPP @t4401 @t1936)) % 54.38/54.67 (define @t4418 () (tptp.hAPP @t4417 @t563)) % 54.38/54.67 (define @t4419 () (tptp.c_Groups_Ominus__class_Ominus @t3442)) % 54.38/54.67 (define @t4420 () (@list @t563 @t3032 @t1936 @t67 @t17)) % 54.38/54.67 (define @t4421 () (tptp.hAPP @t3280 @t563)) % 54.38/54.67 (define @t4422 () (tptp.hAPP @t4401 @t230)) % 54.38/54.67 (define @t4423 () (tptp.hAPP @t4422 @t4421)) % 54.38/54.67 (define @t4424 () (tptp.hAPP @t4406 @t4421)) % 54.38/54.67 (define @t4425 () (@list @t563 @t230 @t226 @t67 @t17)) % 54.38/54.67 (define @t4426 () (tptp.hAPP @t4417 @t230)) % 54.38/54.67 (define @t4427 () (tptp.hAPP @t4417 @t226)) % 54.38/54.67 (define @t4428 () (tptp.c_COMBS @t17 @t2423 @t2423)) % 54.38/54.67 (define @t4429 () (tptp.hAPP @t3280 @t230)) % 54.38/54.67 (define @t4430 () (tptp.hAPP @t4406 @t4429)) % 54.38/54.67 (define @t4431 () (tptp.c_Finite__Set_Ocard @t2172)) % 54.38/54.67 (define @t4432 () (tptp.c_COMBK @t2187 @t67)) % 54.38/54.67 (define @t4433 () (tptp.c_Product__Type_OSigma @t67 @t1945)) % 54.38/54.67 (define @t4434 () (tptp.hAPP (tptp.hAPP @t4433 @t226) (tptp.hAPP @t4432 @t230))) % 54.38/54.67 (define @t4435 () (tptp.hAPP @t4401 @t4275)) % 54.38/54.67 (define @t4436 () (tptp.hAPP @t3280 @t226)) % 54.38/54.67 (define @t4437 () (tptp.c_Groups_Ouminus__class_Ouminus @t3442)) % 54.38/54.67 (define @t4438 () (tptp.hAPP @t3280 @t4278)) % 54.38/54.67 (define @t4439 () (tptp.hAPP @t4412 (tptp.hAPP @t3279 @t230))) % 54.38/54.67 (define @t4440 () (tptp.hAPP (tptp.c_COMBC @t17 @t67 @t2172) @t2171)) % 54.38/54.67 (define @t4441 () (tptp.hBOOL (tptp.hAPP @t4283 @t4430))) % 54.38/54.67 (define @t4442 () (tptp.c_Finite__Set_Ofold1 @t17 @t2)) % 54.38/54.67 (define @t4443 () (tptp.c_COMBK @t231 @t17)) % 54.38/54.67 (define @t4444 () (tptp.c_Product__Type_OSigma @t17 @t17)) % 54.38/54.67 (define @t4445 () (tptp.hAPP (tptp.hAPP @t4444 @t226) (tptp.hAPP @t4443 @t226))) % 54.38/54.67 (define @t4446 () (tptp.hBOOL (tptp.hAPP @t3873 @t4445))) % 54.38/54.67 (define @t4447 () (@list @t230 @t226 @t346 @t36 @t67 @t17)) % 54.38/54.67 (define @t4448 () (tptp.hAPP @t4442 @t226)) % 54.38/54.67 (define @t4449 () (=> @t3172 (= @t3458 @t4448))) % 54.38/54.67 (define @t4450 () (tptp.hAPP @t2820 @t226)) % 54.38/54.67 (define @t4451 () (tptp.c_Orderings_Oord__class_Oless__eq @t3935)) % 54.38/54.67 (define @t4452 () (tptp.hAPP @t3491 @t1753)) % 54.38/54.67 (define @t4453 () (tptp.hBOOL (tptp.hAPP @t4452 @t4430))) % 54.38/54.67 (define @t4454 () (tptp.hAPP (tptp.c_Set_Oimage @t2395 @t67 @t2264) @t4439)) % 54.38/54.67 (define @t4455 () (tptp.hAPP (tptp.c_Set_Oimage @t2172 @t67 @t2225) @t4430)) % 54.38/54.67 (define @t4456 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t17 @t4028) @t226)) % 54.38/54.67 (define @t4457 () (tptp.c_Finite__Set_Ofold1 @t17 @t2286)) % 54.38/54.67 (define @t4458 () (tptp.hAPP @t4457 @t226)) % 54.38/54.67 (define @t4459 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t17 @t2357) @t226)) % 54.38/54.67 (define @t4460 () (tptp.hAPP @t4401 @t3210)) % 54.38/54.67 (define @t4461 () (tptp.hAPP @t3280 (tptp.hAPP @t4364 @t230))) % 54.38/54.67 (define @t4462 () (tptp.c_Set_Oinsert @t2172)) % 54.38/54.67 (define @t4463 () (tptp.hAPP @t4462 @t2178)) % 54.38/54.67 (define @t4464 () (@var "V_E_2" $$unsorted)) % 54.38/54.67 (define @t4465 () (tptp.tc_fun @t2435 @t3442)) % 54.38/54.67 (define @t4466 () (tptp.tc_fun @t2170 @t3442)) % 54.38/54.67 (define @t4467 () (tptp.tc_fun @t2170 @t2435)) % 54.38/54.67 (define @t4468 () (tptp.tc_fun @t2170 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4469 () (tptp.tc_fun @t3442 @t3442)) % 54.38/54.67 (define @t4470 () (tptp.tc_fun @t67 @t4469)) % 54.38/54.67 (define @t4471 () (tptp.tc_fun @t67 @t3442)) % 54.38/54.67 (define @t4472 () (tptp.hBOOL (tptp.hAPP @t178 @t3))) % 54.38/54.67 (define @t4473 () (forall @t7 (=> @t2422 @t4472))) % 54.38/54.67 (define @t4474 () (tptp.hAPP @t49 @t4458)) % 54.38/54.67 (define @t4475 () (= (tptp.hAPP @t4403 @t3156) (tptp.hAPP @t1020 @t4404))) % 54.38/54.67 (define @t4476 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t17)) % 54.38/54.67 (define @t4477 () (@list @t226 @t1753 @t17)) % 54.38/54.67 (define @t4478 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t67 @t1945)) % 54.38/54.67 (define @t4479 () (tptp.tc_fun @t2423 @t1945)) % 54.38/54.67 (define @t4480 () (tptp.c_COMBB @t2173 @t4479 @t17)) % 54.38/54.67 (define @t4481 () (tptp.c_COMBS @t17 @t2423 @t1945)) % 54.38/54.67 (define @t4482 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t17 @t1945)) % 54.38/54.67 (define @t4483 () (tptp.class_Groups_Ocomm__monoid__mult @t1945)) % 54.38/54.67 (define @t4484 () (@list @t2 @t230 @t67 @t226 @t17 @t1945)) % 54.38/54.67 (define @t4485 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t67 @t1945)) % 54.38/54.67 (define @t4486 () (tptp.hAPP @t4481 (tptp.hAPP (tptp.hAPP @t4480 @t4485) @t2))) % 54.38/54.67 (define @t4487 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t17 @t1945)) % 54.38/54.67 (define @t4488 () (tptp.class_Groups_Ocomm__monoid__add @t1945)) % 54.38/54.67 (define @t4489 () (tptp.c_Groups_Oone__class_Oone @t1945)) % 54.38/54.67 (define @t4490 () (tptp.c_Groups_Otimes__class_Otimes @t1945)) % 54.38/54.67 (define @t4491 () (tptp.c_Finite__Set_Ofold__image @t1945 @t67 @t4490)) % 54.38/54.67 (define @t4492 () (tptp.c_Finite__Set_Ofold__image @t1945 @t17 @t4490)) % 54.38/54.67 (define @t4493 () (tptp.hAPP (tptp.c_COMBB @t2423 tptp.tc_Nat_Onat @t17) @t2886)) % 54.38/54.67 (define @t4494 () (tptp.hAPP (tptp.hAPP @t349 @t3) @t283)) % 54.38/54.67 (define @t4495 () (@list @t2109)) % 54.38/54.67 (define @t4496 () (forall @t4495 (=> @t3920 (tptp.hBOOL (tptp.hAPP @t3204 (tptp.hAPP @t230 @t2109)))))) % 54.38/54.67 (define @t4497 () (tptp.hAPP @t2171 @t3)) % 54.38/54.67 (define @t4498 () (tptp.hAPP @t4497 @t283)) % 54.38/54.67 (define @t4499 () (tptp.hAPP @t3410 @t55)) % 54.38/54.67 (define @t4500 () (tptp.tc_prod @t17 @t1945)) % 54.38/54.67 (define @t4501 () (tptp.tc_fun @t4500 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4502 () (tptp.tc_prod @t67 @t2170)) % 54.38/54.67 (define @t4503 () (tptp.c_Set_Oimage @t4502 @t4500 (tptp.c_Product__Type_Omap__pair @t67 @t17 @t2170 @t1945 @t2 @t1))) % 54.38/54.67 (define @t4504 () (tptp.c_Orderings_Otop__class_Otop @t2187)) % 54.38/54.67 (define @t4505 () (tptp.c_Set_Oimage @t2170 @t1945 @t1)) % 54.38/54.67 (define @t4506 () (tptp.c_Product__Type_Omap__pair @t17 @t1945 @t67 @t2170 @t2 @t1)) % 54.38/54.67 (define @t4507 () (tptp.hAPP @t1 @t346)) % 54.38/54.67 (define @t4508 () (tptp.c_Product__Type_OPair @t1945 @t2170)) % 54.38/54.67 (define @t4509 () (tptp.c_member @t2404)) % 54.38/54.67 (define @t4510 () (tptp.c_Product__Type_Omap__pair @t1945 @t17 @t2170 @t67 @t2 @t1)) % 54.38/54.67 (define @t4511 () (tptp.c_Product__Type_Omap__pair @t17 @t17 @t67 @t67 @t1961 (tptp.c_COMBI @t67))) % 54.38/54.67 (define @t4512 () (tptp.tc_fun @t2170 @t2404)) % 54.38/54.67 (define @t4513 () (tptp.tc_fun @t67 @t2404)) % 54.38/54.67 (define @t4514 () (tptp.tc_fun @t67 @t2170)) % 54.38/54.67 (define @t4515 () (@var "V_B_H_2" $$unsorted)) % 54.38/54.67 (define @t4516 () (tptp.c_COMBK @t2187 @t17)) % 54.38/54.67 (define @t4517 () (tptp.c_Product__Type_OSigma @t17 @t1945)) % 54.38/54.67 (define @t4518 () (= @t2826 @t3932)) % 54.38/54.67 (define @t4519 () (tptp.hAPP @t4517 @t226)) % 54.38/54.67 (define @t4520 () (tptp.hAPP tptp.c_Int_ORep__Integ @t3)) % 54.38/54.67 (define @t4521 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4351 @t176) tptp.c_Int_OInteg))) % 54.38/54.67 (define @t4522 () (tptp.hBOOL @t2265)) % 54.38/54.67 (define @t4523 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 @t3021 @t17) (tptp.hAPP @t3590 @t1221)) @t3316)) % 54.38/54.67 (define @t4524 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t3189 @t1945) @t2) @t1)) % 54.38/54.67 (define @t4525 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t17 @t67 @t2)) % 54.38/54.67 (define @t4526 () (@list @t1 @t1945 @t2 @t67 @t17)) % 54.38/54.67 (define @t4527 () (tptp.hAPP @t127 @t522)) % 54.38/54.67 (define @t4528 () (tptp.hAPP @t2624 @t60)) % 54.38/54.67 (define @t4529 () (tptp.c_COMBC tptp.tc_Nat_Onat @t1986 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4530 () (tptp.hAPP @t4529 @t2771)) % 54.38/54.67 (define @t4531 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t4532 () (tptp.hAPP @t2902 (tptp.hAPP @t4531 (tptp.hAPP (tptp.hAPP @t2627 (tptp.hAPP @t2625 (tptp.hAPP @t4530 @t1942))) (tptp.hAPP @t4528 @t2869))))) % 54.38/54.67 (define @t4533 () (tptp.hAPP @t4528 @t31)) % 54.38/54.67 (define @t4534 () (tptp.tc_fun @t1986 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4535 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4534 tptp.tc_Nat_Onat) @t2771)) % 54.38/54.67 (define @t4536 () (tptp.hAPP @t4529 (tptp.hAPP @t4535 tptp.c_Nat_OSuc))) % 54.38/54.67 (define @t4537 () (tptp.hAPP @t2902 (tptp.hAPP @t4531 (tptp.hAPP (tptp.hAPP @t2627 (tptp.hAPP @t2625 (tptp.hAPP @t4536 @t1942))) @t4533)))) % 54.38/54.67 (define @t4538 () (tptp.hAPP @t2771 @t56)) % 54.38/54.67 (define @t4539 () (tptp.hBOOL (tptp.hAPP @t4538 @t1942))) % 54.38/54.67 (define @t4540 () (@list @t31 @t1942)) % 54.38/54.67 (define @t4541 () (tptp.c_Set_OCollect @t17)) % 54.38/54.67 (define @t4542 () (tptp.hAPP @t4541 @t111)) % 54.38/54.67 (define @t4543 () (tptp.hBOOL (tptp.hAPP @t3367 @t4542))) % 54.38/54.67 (define @t4544 () (tptp.hAPP @t111 @t36)) % 54.38/54.67 (define @t4545 () (tptp.hBOOL @t4544)) % 54.38/54.67 (define @t4546 () (@list @t17 @t36 @t111)) % 54.38/54.67 (define @t4547 () (tptp.hAPP @t2481 @t111)) % 54.38/54.67 (define @t4548 () (tptp.hAPP @t4233 @t4547)) % 54.38/54.67 (define @t4549 () (tptp.hAPP @t4541 (tptp.hAPP @t4548 @t2260))) % 54.38/54.67 (define @t4550 () (tptp.hAPP @t4541 @t2260)) % 54.38/54.67 (define @t4551 () (tptp.hBOOL (tptp.hAPP @t3130 @t4550))) % 54.38/54.67 (define @t4552 () (tptp.hBOOL (tptp.hAPP @t3130 @t4542))) % 54.38/54.67 (define @t4553 () (@list @t2260 @t111 @t17)) % 54.38/54.67 (define @t4554 () (tptp.hAPP @t2480 tptp.c_fdisj)) % 54.38/54.67 (define @t4555 () (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t4554 @t111)) @t2260))) % 54.38/54.67 (define @t4556 () (not @t583)) % 54.38/54.67 (define @t4557 () (forall @t7 @t4556)) % 54.38/54.67 (define @t4558 () (tptp.c_COMBK tptp.tc_HOL_Obool @t17)) % 54.38/54.67 (define @t4559 () (tptp.hAPP @t4558 tptp.c_fFalse)) % 54.38/54.67 (define @t4560 () (tptp.hAPP @t4175 tptp.c_fNot)) % 54.38/54.67 (define @t4561 () (tptp.hAPP @t2480 tptp.c_fimplies)) % 54.38/54.67 (define @t4562 () (@list @t111 @t36 @t17)) % 54.38/54.67 (define @t4563 () (tptp.c_Set_OCollect @t67)) % 54.38/54.67 (define @t4564 () (tptp.hAPP @t4563 @t111)) % 54.38/54.67 (define @t4565 () (tptp.hAPP @t1218 @t4542)) % 54.38/54.67 (define @t4566 () (tptp.hAPP @t4560 @t111)) % 54.38/54.67 (define @t4567 () (tptp.hAPP @t4541 @t4566)) % 54.38/54.67 (define @t4568 () (tptp.hAPP @t3305 @t4563)) % 54.38/54.67 (define @t4569 () (tptp.hAPP @t4401 @t4542)) % 54.38/54.67 (define @t4570 () (tptp.hAPP @t2484 @t4547)) % 54.38/54.67 (define @t4571 () (tptp.c_Set_OCollect @t2172)) % 54.38/54.67 (define @t4572 () (@list @t2260 @t111 @t67 @t17)) % 54.38/54.67 (define @t4573 () (tptp.hAPP @t4007 @t4542)) % 54.38/54.67 (define @t4574 () (tptp.hAPP @t4541 (tptp.hAPP @t4234 @t4129))) % 54.38/54.67 (define @t4575 () (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t2481 @t2493)) @t111))) % 54.38/54.67 (define @t4576 () (not @t4545)) % 54.38/54.67 (define @t4577 () (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t2481 @t2129)) @t111))) % 54.38/54.67 (define @t4578 () (tptp.hAPP @t4541 @t2493)) % 54.38/54.67 (define @t4579 () (tptp.hAPP @t3017 @t4541)) % 54.38/54.67 (define @t4580 () (tptp.hAPP @t3584 @t226)) % 54.38/54.67 (define @t4581 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1991 @t67)) % 54.38/54.67 (define @t4582 () (tptp.c_COMBS @t67 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4583 () (tptp.hAPP @t3305 (tptp.hAPP @t4582 (tptp.hAPP (tptp.hAPP @t4581 tptp.c_fimplies) @t4580)))) % 54.38/54.67 (define @t4584 () (tptp.c_COMBB @t2423 tptp.tc_HOL_Obool @t17)) % 54.38/54.67 (define @t4585 () (tptp.hAPP @t4584 (tptp.c_HOL_OAll @t67))) % 54.38/54.67 (define @t4586 () (tptp.hAPP @t4231 @t2186)) % 54.38/54.67 (define @t4587 () (tptp.hAPP @t4233 (tptp.hAPP @t2481 @t3430))) % 54.38/54.67 (define @t4588 () (tptp.hAPP @t4581 tptp.c_fconj)) % 54.38/54.67 (define @t4589 () (tptp.hAPP @t4568 (tptp.hAPP (tptp.hAPP @t3305 (tptp.hAPP @t4582 (tptp.hAPP @t4588 (tptp.hAPP @t3584 @t3863)))) @t2186))) % 54.38/54.67 (define @t4590 () (tptp.hBOOL (tptp.hAPP @t3204 @t3863))) % 54.38/54.67 (define @t4591 () (tptp.c_COMBB @t231 tptp.tc_HOL_Obool @t67)) % 54.38/54.67 (define @t4592 () (tptp.tc_fun @t3079 @t2423)) % 54.38/54.67 (define @t4593 () (tptp.hAPP @t4090 @t2909)) % 54.38/54.67 (define @t4594 () (tptp.c_Set_Oimage @t17 @t1945 @t2)) % 54.38/54.67 (define @t4595 () (tptp.tc_fun @t3935 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4596 () (tptp.hAPP @t4586 @t3)) % 54.38/54.67 (define @t4597 () (tptp.tc_fun @t2005 @t231)) % 54.38/54.67 (define @t4598 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 @t4597 @t17) (tptp.c_COMBB @t17 tptp.tc_HOL_Obool @t17)) tptp.c_fequal)) % 54.38/54.67 (define @t4599 () (tptp.hAPP (tptp.c_COMBC @t17 @t2005 @t231) @t4598)) % 54.38/54.67 (define @t4600 () (tptp.hAPP (tptp.c_COMBB @t3980 @t3021 @t17) @t4233)) % 54.38/54.67 (define @t4601 () (tptp.c_HOL_OEx @t17)) % 54.38/54.67 (define @t4602 () (tptp.hAPP @t3341 @t4601)) % 54.38/54.67 (define @t4603 () (tptp.hAPP @t4177 @t4129)) % 54.38/54.67 (define @t4604 () (tptp.hAPP (tptp.c_COMBC @t17 @t2006 @t2088) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4597 (tptp.tc_fun @t2006 @t2088) @t17) (tptp.c_COMBB @t2005 @t231 @t17)) @t4598))) % 54.38/54.67 (define @t4605 () (tptp.tc_fun @t17 @t3980)) % 54.38/54.67 (define @t4606 () (tptp.hAPP (tptp.c_COMBB @t2088 @t4605 @t17) @t3981)) % 54.38/54.67 (define @t4607 () (tptp.tc_fun @t17 @t3021)) % 54.38/54.67 (define @t4608 () (tptp.hAPP (tptp.c_COMBB @t4605 @t4607 @t17) @t4600)) % 54.38/54.67 (define @t4609 () (tptp.hAPP (tptp.c_COMBB @t4607 (tptp.tc_fun @t2088 @t2088) @t17) (tptp.c_COMBS @t17 @t231 @t231))) % 54.38/54.67 (define @t4610 () (tptp.c_COMBC @t17 @t2088 @t2088)) % 54.38/54.67 (define @t4611 () (tptp.hAPP (tptp.c_COMBB @t2088 @t231 @t17) @t4602)) % 54.38/54.67 (define @t4612 () (tptp.c_Set_OCollect @t231)) % 54.38/54.67 (define @t4613 () (tptp.hAPP @t4612 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t231 @t231 tptp.tc_HOL_Obool) @t232) @t226))) % 54.38/54.67 (define @t4614 () (tptp.c_COMBB @t2621 tptp.tc_HOL_Obool @t231)) % 54.38/54.67 (define @t4615 () (tptp.c_COMBB @t231 tptp.tc_HOL_Obool @t231)) % 54.38/54.67 (define @t4616 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1991 @t231)) % 54.38/54.67 (define @t4617 () (tptp.hAPP @t4616 tptp.c_fconj)) % 54.38/54.67 (define @t4618 () (tptp.tc_fun @t231 @t1991)) % 54.38/54.67 (define @t4619 () (tptp.hAPP (tptp.c_COMBB @t2621 @t4618 @t231) @t4617)) % 54.38/54.67 (define @t4620 () (tptp.c_COMBS @t231 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4621 () (tptp.hAPP (tptp.c_COMBB @t4618 @t3963 @t231) @t4620)) % 54.38/54.67 (define @t4622 () (tptp.c_COMBC @t231 @t2621 @t2621)) % 54.38/54.67 (define @t4623 () (tptp.c_HOL_OEx @t231)) % 54.38/54.67 (define @t4624 () (tptp.hAPP @t4591 @t4601)) % 54.38/54.67 (define @t4625 () (tptp.c_COMBC @t67 @t17 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4626 () (tptp.hAPP @t4625 @t2260)) % 54.38/54.67 (define @t4627 () (tptp.hBOOL @t2439)) % 54.38/54.67 (define @t4628 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 54.38/54.67 (define @t4629 () (tptp.hAPP @t4628 (tptp.hAPP @t2128 @t111))) % 54.38/54.67 (define @t4630 () (tptp.tc_fun @t67 @t3683)) % 54.38/54.67 (define @t4631 () (tptp.tc_fun @t17 @t3683)) % 54.38/54.67 (define @t4632 () (tptp.tc_fun @t3844 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4633 () (tptp.tc_fun @t17 @t4632)) % 54.38/54.67 (define @t4634 () (tptp.c_Set_OCollect @t3532)) % 54.38/54.67 (define @t4635 () (tptp.hAPP @t836 @t359)) % 54.38/54.67 (define @t4636 () (tptp.hAPP @t4541 (tptp.hAPP @t4602 (tptp.hAPP (tptp.hAPP @t3315 (tptp.hAPP @t4600 (tptp.hAPP @t3981 (tptp.hAPP @t4599 @t4635)))) (tptp.hAPP @t3429 @t3151))))) % 54.38/54.67 (define @t4637 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t17)) % 54.38/54.67 (define @t4638 () (@list @t359 @t3151 @t17)) % 54.38/54.67 (define @t4639 () (tptp.class_Lattices_Odistrib__lattice @t17)) % 54.38/54.67 (define @t4640 () (tptp.hAPP (tptp.hAPP @t2485 (tptp.hAPP @t2484 @t4174)) @t4368)) % 54.38/54.67 (define @t4641 () (tptp.hAPP @t1995 (tptp.hAPP @t523 @t863))) % 54.38/54.67 (define @t4642 () (tptp.c_Set_OCollect @t1978)) % 54.38/54.67 (define @t4643 () (tptp.c_Int_Oint__ge__less__than @t863)) % 54.38/54.67 (define @t4644 () (@list @t863)) % 54.38/54.67 (define @t4645 () (tptp.c_Int_Oint__ge__less__than2 @t863)) % 54.38/54.67 (define @t4646 () (tptp.hAPP @t4634 (tptp.hAPP @t3982 @t1753))) % 54.38/54.67 (define @t4647 () (tptp.c_Predicate_Oreflp @t17 @t1753)) % 54.38/54.67 (define @t4648 () (tptp.tc_fun @t1945 @t1945)) % 54.38/54.67 (define @t4649 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t2173 @t2173) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4648 (tptp.tc_fun @t2173 @t2173) @t17) (tptp.c_COMBB @t1945 @t1945 @t67)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1945 @t4648 @t17) @t4490) @t2))) @t1)) % 54.38/54.67 (define @t4650 () (tptp.tc_fun @t2173 @t2423)) % 54.38/54.67 (define @t4651 () (tptp.tc_fun @t17 @t2173)) % 54.38/54.67 (define @t4652 () (tptp.tc_fun @t67 @t1991)) % 54.38/54.67 (define @t4653 () (tptp.tc_fun @t17 @t4652)) % 54.38/54.67 (define @t4654 () (tptp.tc_fun @t17 @t2483)) % 54.38/54.67 (define @t4655 () (tptp.c_HOL_OEx @t67)) % 54.38/54.67 (define @t4656 () (tptp.hAPP @t4584 @t4655)) % 54.38/54.67 (define @t4657 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t231 @t2)) % 54.38/54.67 (define @t4658 () (tptp.c_Fun_Oid @t17)) % 54.38/54.67 (define @t4659 () (@var "V_x_1" $$unsorted)) % 54.38/54.67 (define @t4660 () (tptp.c_Fun_Oid @t10)) % 54.38/54.67 (define @t4661 () (tptp.c_Fun_Oid @t2172)) % 54.38/54.67 (define @t4662 () (tptp.c_Fun_Oid @t67)) % 54.38/54.67 (define @t4663 () (@list @t17 @t67)) % 54.38/54.67 (define @t4664 () (tptp.hAPP @t1753 @t125)) % 54.38/54.67 (define @t4665 () (tptp.c_Set_Oimage @t17 @t17 @t4658)) % 54.38/54.67 (define @t4666 () (@list @t230 @t2 @t17 @t67)) % 54.38/54.67 (define @t4667 () (tptp.hAPP @t2420 @t748)) % 54.38/54.67 (define @t4668 () (tptp.c_COMBB @t231 @t231 @t231)) % 54.38/54.67 (define @t4669 () (tptp.hAPP (tptp.hAPP @t4668 @t4541) @t111)) % 54.38/54.67 (define @t4670 () (tptp.hAPP @t4571 @t2460)) % 54.38/54.67 (define @t4671 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t3442 @t2)) % 54.38/54.67 (define @t4672 () (tptp.tc_prod @t1945 @t67)) % 54.38/54.67 (define @t4673 () (tptp.c_member @t4672)) % 54.38/54.67 (define @t4674 () (tptp.tc_fun @t4672 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4675 () (tptp.tc_fun @t4674 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4676 () (tptp.tc_fun @t1945 @t4675)) % 54.38/54.67 (define @t4677 () (tptp.c_member @t4500)) % 54.38/54.67 (define @t4678 () (tptp.tc_fun @t4501 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4679 () (tptp.tc_fun @t1945 @t4678)) % 54.38/54.67 (define @t4680 () (tptp.tc_fun @t1945 @t1991)) % 54.38/54.67 (define @t4681 () (tptp.c_Relation_Orel__comp @t17 @t1945 @t67)) % 54.38/54.67 (define @t4682 () (tptp.hAPP (tptp.hAPP @t4681 @t1753) @t2232)) % 54.38/54.67 (define @t4683 () (tptp.c_Relation_Orel__comp @t17 @t67 @t1945)) % 54.38/54.67 (define @t4684 () (tptp.hAPP (tptp.hAPP @t4683 @t1753) @t2232)) % 54.38/54.67 (define @t4685 () (tptp.hAPP @t4681 @t2232)) % 54.38/54.67 (define @t4686 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2170 @t3442) @t1936)) % 54.38/54.67 (define @t4687 () (tptp.hAPP @t4681 @t2186)) % 54.38/54.67 (define @t4688 () (@list @t2186 @t67 @t1945 @t17)) % 54.38/54.67 (define @t4689 () (@var "V_s_H_2" $$unsorted)) % 54.38/54.67 (define @t4690 () (tptp.c_Orderings_Oord__class_Oless__eq @t4501)) % 54.38/54.67 (define @t4691 () (tptp.c_Orderings_Oord__class_Oless__eq @t4323)) % 54.38/54.67 (define @t4692 () (tptp.c_Relation_Orel__comp @t17 @t17 @t17)) % 54.38/54.67 (define @t4693 () (tptp.hAPP @t4692 @t226)) % 54.38/54.67 (define @t4694 () (= (tptp.hAPP @t4693 @t563) @t3535)) % 54.38/54.67 (define @t4695 () (tptp.tc_fun @t3690 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4696 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3690) (tptp.hAPP (tptp.hAPP @t3689 @t3254) @t3254)) (tptp.c_Orderings_Obot__class_Obot @t4695))) % 54.38/54.67 (define @t4697 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4695)) % 54.38/54.67 (define @t4698 () (tptp.c_Relation_Orel__comp @t231 @t231 @t231)) % 54.38/54.67 (define @t4699 () (tptp.c_Orderings_Oord__class_Oless__eq @t4695)) % 54.38/54.67 (define @t4700 () (tptp.hAPP @t4692 @t2186)) % 54.38/54.67 (define @t4701 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 (tptp.hAPP @t4700 @t2909)) @t2186))) % 54.38/54.67 (define @t4702 () (tptp.c_Wellfounded_Omin__ext @t17 @t2186)) % 54.38/54.67 (define @t4703 () (tptp.hAPP @t3445 @t1753)) % 54.38/54.67 (define @t4704 () (tptp.c_Wellfounded_Owf @t17 @t2186)) % 54.38/54.67 (define @t4705 () (tptp.hAPP @t4625 @t111)) % 54.38/54.67 (define @t4706 () (tptp.hAPP (tptp.c_Set_OCollect @t2395) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t67 @t17 tptp.tc_HOL_Obool) @t111))) % 54.38/54.67 (define @t4707 () (tptp.c_Relation_ORange @t67 @t17)) % 54.38/54.67 (define @t4708 () (@list @t111 @t17 @t67)) % 54.38/54.67 (define @t4709 () (tptp.c_Predicate_Opred__comp @t17 @t67 @t1945 @t1753 @t2232)) % 54.38/54.67 (define @t4710 () (tptp.hAPP (tptp.hAPP @t3843 @t1753) @t2)) % 54.38/54.67 (define @t4711 () (tptp.c_Wellfounded_Owf @t17 @t1753)) % 54.38/54.67 (define @t4712 () (@list @t2 @t67 @t1753 @t17)) % 54.38/54.67 (define @t4713 () (@var "V_rb_2" $$unsorted)) % 54.38/54.67 (define @t4714 () (@var "V_ra_2" $$unsorted)) % 54.38/54.67 (define @t4715 () (tptp.hAPP (tptp.c_Relation_ORange @t17 @t67) @t1753)) % 54.38/54.67 (define @t4716 () (@list @t1753 @t346 @t36 @t67 @t17)) % 54.38/54.67 (define @t4717 () (tptp.hAPP @t4700 @t2186)) % 54.38/54.67 (define @t4718 () (tptp.c_Relation_ORange @t17 @t17)) % 54.38/54.67 (define @t4719 () (tptp.hAPP @t1753 @t2105)) % 54.38/54.67 (define @t4720 () (@list @t1882 @t1753 @t17)) % 54.38/54.67 (define @t4721 () (@list @t3933 @t1753 @t17)) % 54.38/54.67 (define @t4722 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4723 () (tptp.c_Set_OCollect @t2254)) % 54.38/54.67 (define @t4724 () (tptp.hAPP @t3876 @t2186)) % 54.38/54.67 (define @t4725 () (tptp.hAPP @t4724 @t2909)) % 54.38/54.67 (define @t4726 () (tptp.c_Wellfounded_Owf @t17 @t4725)) % 54.38/54.67 (define @t4727 () (tptp.c_Orderings_Obot__class_Obot @t3935)) % 54.38/54.67 (define @t4728 () (tptp.hAPP @t4707 @t1753)) % 54.38/54.67 (define @t4729 () (@list @t1753 @t17 @t67)) % 54.38/54.67 (define @t4730 () (tptp.hAPP @t4707 @t230)) % 54.38/54.67 (define @t4731 () (tptp.hAPP @t4707 @t226)) % 54.38/54.67 (define @t4732 () (tptp.hBOOL (tptp.hAPP @t4283 @t1753))) % 54.38/54.67 (define @t4733 () (@list @t1753 @t67 @t17)) % 54.38/54.67 (define @t4734 () (tptp.c_Relation_OImage @t17 @t17 @t2186)) % 54.38/54.67 (define @t4735 () (tptp.c_Wellfounded_Owf @t17 @t2909)) % 54.38/54.67 (define @t4736 () (@list @t1753 @t67 @t36 @t17)) % 54.38/54.67 (define @t4737 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t3533 @t3533) @t111)) % 54.38/54.67 (define @t4738 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t3533 @t3533) @t111)) % 54.38/54.67 (define @t4739 () (tptp.hAPP @t3534 @t2909)) % 54.38/54.67 (define @t4740 () (tptp.hAPP @t3534 @t2186)) % 54.38/54.67 (define @t4741 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3935)) % 54.38/54.67 (define @t4742 () (tptp.c_List_Olenlex @t17 @t1753)) % 54.38/54.67 (define @t4743 () (tptp.tc_List_Olist @t17)) % 54.38/54.67 (define @t4744 () (tptp.c_Predicate_ORangeP @t17 @t67 @t1753)) % 54.38/54.67 (define @t4745 () (@list @t67 @t17 @t346 @t36 @t1753)) % 54.38/54.67 (define @t4746 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1986 tptp.tc_Nat_Onat)) % 54.38/54.67 (define @t4747 () (tptp.c_List_Olex @t17 @t1753)) % 54.38/54.67 (define @t4748 () (tptp.c_List_Olexn @t17 @t1753)) % 54.38/54.67 (define @t4749 () (tptp.hAPP @t4748 @t33)) % 54.38/54.67 (define @t4750 () (@list @t33 @t1753 @t17)) % 54.38/54.67 (define @t4751 () (tptp.tc_prod @t4743 @t4743)) % 54.38/54.67 (define @t4752 () (tptp.tc_fun @t4751 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4753 () (tptp.c_Relation_ODomain @t17 @t17)) % 54.38/54.67 (define @t4754 () (tptp.hAPP @t4753 @t1753)) % 54.38/54.67 (define @t4755 () (tptp.c_Relation_ODomain @t17 @t67)) % 54.38/54.67 (define @t4756 () (tptp.hAPP @t4755 @t1753)) % 54.38/54.67 (define @t4757 () (tptp.hBOOL (tptp.hAPP @t3367 @t4756))) % 54.38/54.67 (define @t4758 () (tptp.hBOOL (tptp.hAPP @t4452 @t2232))) % 54.38/54.67 (define @t4759 () (@list @t2232 @t1753 @t67 @t17)) % 54.38/54.67 (define @t4760 () (tptp.hAPP @t4755 @t230)) % 54.38/54.67 (define @t4761 () (tptp.hAPP @t4755 @t226)) % 54.38/54.67 (define @t4762 () (@list @t2186 @t67 @t17)) % 54.38/54.67 (define @t4763 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3410 (tptp.hAPP @t2177 @t283)) @t1753))) % 54.38/54.67 (define @t4764 () (tptp.hAPP @t4718 @t1753)) % 54.38/54.67 (define @t4765 () (tptp.c_Wellfounded_OwfP @t17 @t1753)) % 54.38/54.67 (define @t4766 () (tptp.c_Predicate_ODomainP @t17 @t67 @t1753)) % 54.38/54.67 (define @t4767 () (tptp.c_Wellfounded_Oacyclic @t17 @t4646)) % 54.38/54.67 (define @t4768 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4351 @t283) tptp.c_Int_OInteg))) % 54.38/54.67 (define @t4769 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t283)) % 54.38/54.67 (define @t4770 () (tptp.c_Wellfounded_Oacyclic @t17 @t1753)) % 54.38/54.67 (define @t4771 () (@list @t1753 @t2232 @t17)) % 54.38/54.67 (define @t4772 () (tptp.hAPP @t1753 @t217)) % 54.38/54.67 (define @t4773 () (tptp.hAPP @t1753 @t1264)) % 54.38/54.67 (define @t4774 () (tptp.hAPP @t3409 @t522)) % 54.38/54.67 (define @t4775 () (tptp.c_Fun_Ocomp @t67 @t67 @t17 @t4662)) % 54.38/54.67 (define @t4776 () (tptp.hAPP @t36 (tptp.hAPP @t346 @t751))) % 54.38/54.67 (define @t4777 () (= @t4776 (tptp.hAPP @t55 @t751))) % 54.38/54.67 (define @t4778 () (tptp.hAPP (tptp.c_Fun_Ocomp @t1945 @t67 @t17 @t36) @t346)) % 54.38/54.67 (define @t4779 () (@list @t751 @t55 @t346 @t36 @t17 @t67 @t1945)) % 54.38/54.67 (define @t4780 () (tptp.c_Fun_Ocomp @t67 @t67 @t67 @t127)) % 54.38/54.67 (define @t4781 () (= (tptp.hAPP @t4780 @t127) @t127)) % 54.38/54.67 (define @t4782 () (tptp.hAPP (tptp.c_Fun_Ocomp @t1945 @t67 @t17 @t1) @t2)) % 54.38/54.67 (define @t4783 () (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t17 @t1945 @t2) @t1)) % 54.38/54.67 (define @t4784 () (tptp.hAPP @t4783 @t125)) % 54.38/54.67 (define @t4785 () (tptp.hAPP (tptp.c_Fun_Ocomp @t1945 @t67 @t2170 @t2) @t1)) % 54.38/54.67 (define @t4786 () (tptp.c_Fun_Ocomp @t1945 @t67 @t17 @t2)) % 54.38/54.67 (define @t4787 () (= @t4778 (tptp.hAPP (tptp.c_Fun_Ocomp @t2170 @t67 @t17 @t55) @t863))) % 54.38/54.67 (define @t4788 () (@var "B_v" $$unsorted)) % 54.38/54.67 (define @t4789 () (@var "V_x_H_2" $$unsorted)) % 54.38/54.67 (define @t4790 () (@var "V_g_H_2" $$unsorted)) % 54.38/54.67 (define @t4791 () (@var "V_f_H_2" $$unsorted)) % 54.38/54.67 (define @t4792 () (tptp.hAPP @t4786 @t1)) % 54.38/54.67 (define @t4793 () (@var "V_prod_2" $$unsorted)) % 54.38/54.67 (define @t4794 () (@var "V_g2_2" $$unsorted)) % 54.38/54.67 (define @t4795 () (@var "V_g1_2" $$unsorted)) % 54.38/54.67 (define @t4796 () (tptp.tc_prod @t2168 @t2400)) % 54.38/54.67 (define @t4797 () (tptp.hAPP (tptp.c_Fun_Ocomp @t17 @t67 @t1945 @t2) @t1)) % 54.38/54.67 (define @t4798 () (tptp.c_Fun_Ocomp @t67 @t1945 @t17 @t1)) % 54.38/54.67 (define @t4799 () (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t1945 @t17 @t53) @t2)) % 54.38/54.67 (define @t4800 () (tptp.hAPP @t4487 @t4799)) % 54.38/54.67 (define @t4801 () (tptp.hAPP @t4485 @t53)) % 54.38/54.67 (define @t4802 () (@list @t53 @t230 @t2 @t67 @t17 @t1945)) % 54.38/54.67 (define @t4803 () (tptp.hAPP @t4478 @t53)) % 54.38/54.67 (define @t4804 () (= (tptp.hAPP @t4803 @t230) (tptp.hAPP (tptp.hAPP @t4482 @t1) @t226))) % 54.38/54.67 (define @t4805 () (= @t230 @t2819)) % 54.38/54.67 (define @t4806 () (@list @t53 @t1 @t230 @t226 @t2 @t67 @t17 @t1945)) % 54.38/54.67 (define @t4807 () (tptp.hAPP (tptp.c_Fun_Ocomp @t17 @t67 @t17 @t1) @t53)) % 54.38/54.67 (define @t4808 () (tptp.hAPP @t3790 @t226)) % 54.38/54.67 (define @t4809 () (tptp.c_Fun_Oinj__on @t17 @t17 @t53 @t226)) % 54.38/54.67 (define @t4810 () (@list @t1 @t53 @t226 @t17 @t67)) % 54.38/54.67 (define @t4811 () (tptp.hAPP (tptp.c_Set_Oimage @t1945 @t17 @t1) @t226)) % 54.38/54.67 (define @t4812 () (tptp.c_Nitpick_ORep__Frac @t17)) % 54.38/54.67 (define @t4813 () (tptp.tc_prod @t2170 @t1945)) % 54.38/54.67 (define @t4814 () (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t67 @t67 @t3353) @t127)) % 54.38/54.67 (define @t4815 () (tptp.c_Finite__Set_Ofolding @t17 @t67 @t2 @t3180)) % 54.38/54.67 (define @t4816 () (@list @t125 @t226 @t3180 @t2 @t67 @t17)) % 54.38/54.67 (define @t4817 () (tptp.c_Finite__Set_Ofolding__image @t17 @t67 @t2 @t522 @t3180)) % 54.38/54.67 (define @t4818 () (tptp.hAPP @t4780 @t195)) % 54.38/54.67 (define @t4819 () (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t67 @t67 @t195) @t127)) % 54.38/54.67 (define @t4820 () (tptp.c_Fun_Ocomp @t67 @t67 @t1945 @t195)) % 54.38/54.67 (define @t4821 () (tptp.c_Fun_Ocomp @t67 @t67 @t1945 @t127)) % 54.38/54.67 (define @t4822 () (tptp.hAPP @t4821 @t1)) % 54.38/54.67 (define @t4823 () (tptp.hAPP (tptp.hAPP @t2692 @t2) @t1)) % 54.38/54.67 (define @t4824 () (tptp.c_Fun_Ocomp @t67 @t67 @t67 @t3458)) % 54.38/54.67 (define @t4825 () (tptp.hAPP @t4824 @t127)) % 54.38/54.67 (define @t4826 () (tptp.c_Fun_Ocomp @t67 @t67 @t1945 @t3458)) % 54.38/54.67 (define @t4827 () (tptp.hAPP @t4826 @t1)) % 54.38/54.67 (define @t4828 () (tptp.hAPP @t4824 @t3894)) % 54.38/54.67 (define @t4829 () (@list @t230 @t226 @t3180 @t2 @t67 @t17)) % 54.38/54.67 (define @t4830 () (tptp.c_Fun_Ocomp @t67 @t67 @t1945 @t3894)) % 54.38/54.67 (define @t4831 () (= @t3355 @t4825)) % 54.38/54.67 (define @t4832 () (= @t3896 @t4828)) % 54.38/54.67 (define @t4833 () (= @t3 @t283)) % 54.38/54.67 (define @t4834 () (@list @t111 @t2 @t17 @t67)) % 54.38/54.67 (define @t4835 () (tptp.c_Finite__Set_Ofolding__idem @t17 @t67 @t2 @t3180)) % 54.38/54.67 (define @t4836 () (tptp.c_New__Random__Sequence_Oneg__single @t17)) % 54.38/54.67 (define @t4837 () (@list @t2503 @t2472 @t2473 @t125 @t17)) % 54.38/54.67 (define @t4838 () (tptp.c_New__Random__Sequence_Opos__single @t17)) % 54.38/54.67 (define @t4839 () (@list @t2522 @t28 @t10)) % 54.38/54.67 (define @t4840 () (tptp.c_Hilbert__Choice_OEps @t17 @t111)) % 54.38/54.67 (define @t4841 () (tptp.hAPP @t2492 @t125)) % 54.38/54.67 (define @t4842 () (tptp.hBOOL (tptp.hAPP @t111 @t4840))) % 54.38/54.67 (define @t4843 () (@list @t17 @t111)) % 54.38/54.67 (define @t4844 () (@var "B_P" $$unsorted)) % 54.38/54.67 (define @t4845 () (@list @t3890)) % 54.38/54.67 (define @t4846 () (tptp.c_Wellfounded_Oacc @t17 @t2186)) % 54.38/54.67 (define @t4847 () (tptp.hAPP @t3539 @t748)) % 54.38/54.67 (define @t4848 () (@list @t2186 @t125 @t17)) % 54.38/54.67 (define @t4849 () (tptp.hAPP @t3539 @t283)) % 54.38/54.67 (define @t4850 () (@list @t2 @t2909 @t17 @t67)) % 54.38/54.67 (define @t4851 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 54.38/54.67 (define @t4852 () (tptp.hAPP @t3807 (tptp.hAPP @t3957 @t33))) % 54.38/54.67 (define @t4853 () (tptp.c_Transitive__Closure_Otrancl @t17 @t1753)) % 54.38/54.67 (define @t4854 () (forall @t7 (not (tptp.hBOOL (tptp.hAPP @t3543 @t4853))))) % 54.38/54.67 (define @t4855 () (tptp.hBOOL (tptp.hAPP @t3970 @t4853))) % 54.38/54.67 (define @t4856 () (tptp.hAPP @t3534 @t4853)) % 54.38/54.67 (define @t4857 () (tptp.hAPP @t3542 @t1882)) % 54.38/54.67 (define @t4858 () (tptp.hBOOL (tptp.hAPP @t4857 @t4853))) % 54.38/54.67 (define @t4859 () (tptp.hBOOL (tptp.hAPP @t4857 @t1753))) % 54.38/54.67 (define @t4860 () (@list @t1753 @t1882 @t17)) % 54.38/54.67 (define @t4861 () (tptp.c_Transitive__Closure_Otrancl @t17 @t2186)) % 54.38/54.67 (define @t4862 () (tptp.hAPP @t3542 (tptp.hAPP @t3685 @t55))) % 54.38/54.67 (define @t4863 () (tptp.hAPP @t3539 @t346)) % 54.38/54.67 (define @t4864 () (tptp.hAPP @t3542 (tptp.hAPP @t4863 @t55))) % 54.38/54.67 (define @t4865 () (tptp.hBOOL (tptp.hAPP @t4862 @t4853))) % 54.38/54.67 (define @t4866 () (=> (tptp.hBOOL (tptp.hAPP @t4864 @t4853)) @t4865)) % 54.38/54.67 (define @t4867 () (@list @t55 @t1753 @t346 @t36 @t17)) % 54.38/54.67 (define @t4868 () (tptp.hBOOL (tptp.hAPP @t4864 @t1753))) % 54.38/54.67 (define @t4869 () (=> @t4868 @t4865)) % 54.38/54.67 (define @t4870 () (tptp.c_Transitive__Closure_Ortrancl @t17 @t1753)) % 54.38/54.67 (define @t4871 () (tptp.hAPP @t3876 @t4853)) % 54.38/54.67 (define @t4872 () (tptp.hAPP @t4150 @t125)) % 54.38/54.67 (define @t4873 () (tptp.hAPP (tptp.hAPP @t3861 @t4872) @t1753)) % 54.38/54.67 (define @t4874 () (@list @t1753 @t125 @t176 @t17)) % 54.38/54.67 (define @t4875 () (tptp.c_Relation_OId @t17)) % 54.38/54.67 (define @t4876 () (tptp.hAPP @t3877 @t4875)) % 54.38/54.67 (define @t4877 () (@list @t176 @t125 @t1753 @t17)) % 54.38/54.67 (define @t4878 () (tptp.hBOOL (tptp.hAPP @t3970 @t4870))) % 54.38/54.67 (define @t4879 () (tptp.c_Transitive__Closure_Ortrancl @t17 @t2186)) % 54.38/54.67 (define @t4880 () (tptp.hAPP @t4692 @t1753)) % 54.38/54.67 (define @t4881 () (tptp.hAPP @t4880 @t4870)) % 54.38/54.67 (define @t4882 () (tptp.hAPP (tptp.hAPP @t4692 @t4870) @t1753)) % 54.38/54.67 (define @t4883 () (tptp.hAPP @t3534 @t4870)) % 54.38/54.67 (define @t4884 () (tptp.c_Transitive__Closure_Ortrancl @t17 @t2232)) % 54.38/54.67 (define @t4885 () (tptp.hBOOL (tptp.hAPP @t4883 @t4884))) % 54.38/54.67 (define @t4886 () (tptp.c_Transitive__Closure_Ortrancl @t17 @t2909)) % 54.38/54.67 (define @t4887 () (tptp.c_Transitive__Closure_Ortrancl @t17 @t4725)) % 54.38/54.67 (define @t4888 () (tptp.hAPP @t3876 @t4879)) % 54.38/54.67 (define @t4889 () (tptp.hAPP @t4888 @t4886)) % 54.38/54.67 (define @t4890 () (tptp.hAPP @t3542 @t125)) % 54.38/54.67 (define @t4891 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3533) @t1753) @t4875)) % 54.38/54.67 (define @t4892 () (tptp.hBOOL (tptp.hAPP @t4862 @t4870))) % 54.38/54.67 (define @t4893 () (tptp.hBOOL (tptp.hAPP @t4864 @t4870))) % 54.38/54.67 (define @t4894 () (=> @t4893 @t4892)) % 54.38/54.67 (define @t4895 () (tptp.hBOOL (tptp.hAPP @t3558 @t4861))) % 54.38/54.67 (define @t4896 () (tptp.hBOOL (tptp.hAPP @t3558 @t4879))) % 54.38/54.67 (define @t4897 () (@list @t2186 @t176 @t125 @t17)) % 54.38/54.67 (define @t4898 () (=> @t4893 @t4865)) % 54.38/54.67 (define @t4899 () (tptp.hAPP @t3542 (tptp.hAPP @t3557 @t522))) % 54.38/54.67 (define @t4900 () (tptp.hBOOL (tptp.hAPP @t3558 @t4870))) % 54.38/54.67 (define @t4901 () (@list @t522 @t1753 @t176 @t125 @t17)) % 54.38/54.67 (define @t4902 () (tptp.hAPP @t3542 (tptp.hAPP @t4863 @t36))) % 54.38/54.67 (define @t4903 () (tptp.hBOOL (tptp.hAPP @t4902 @t4870))) % 54.38/54.67 (define @t4904 () (not @t4900)) % 54.38/54.67 (define @t4905 () (tptp.hAPP @t3542 (tptp.hAPP @t3557 @t125))) % 54.38/54.67 (define @t4906 () (tptp.c_Relation_Oconverse @t17 @t17)) % 54.38/54.67 (define @t4907 () (tptp.hAPP @t4906 @t1753)) % 54.38/54.67 (define @t4908 () (tptp.c_Transitive__Closure_Ortrancl @t17 @t4907)) % 54.38/54.67 (define @t4909 () (tptp.c_Relation_Oconverse @t67 @t17)) % 54.38/54.67 (define @t4910 () (@list @t2232 @t1753 @t1945 @t17 @t67)) % 54.38/54.67 (define @t4911 () (tptp.hAPP @t4909 @t2232)) % 54.38/54.67 (define @t4912 () (tptp.hAPP @t4909 @t1753)) % 54.38/54.67 (define @t4913 () (@list @t2232 @t1753 @t17 @t67)) % 54.38/54.67 (define @t4914 () (tptp.hAPP @t3943 (tptp.hAPP (tptp.hAPP @t2261 @t346) @t36))) % 54.38/54.67 (define @t4915 () (tptp.hBOOL (tptp.hAPP @t4914 @t1753))) % 54.38/54.67 (define @t4916 () (tptp.hBOOL (tptp.hAPP @t3411 @t4912))) % 54.38/54.67 (define @t4917 () (tptp.hAPP (tptp.c_Relation_Oconverse @t17 @t67) @t1753)) % 54.38/54.67 (define @t4918 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3935 @t3442 @t1945) @t4909) @t1753)) % 54.38/54.67 (define @t4919 () (@list @t1753 @t2909 @t1945 @t17 @t67)) % 54.38/54.67 (define @t4920 () (tptp.hAPP @t4906 @t4853)) % 54.38/54.67 (define @t4921 () (tptp.c_Transitive__Closure_Otrancl @t17 @t4907)) % 54.38/54.67 (define @t4922 () (tptp.c_Wellfounded_Owf @t17 @t4907)) % 54.38/54.67 (define @t4923 () (tptp.hAPP (tptp.hAPP @t4692 @t4907) @t1753)) % 54.38/54.67 (define @t4924 () (= @t4923 @t1753)) % 54.38/54.67 (define @t4925 () (tptp.hAPP @t4755 @t4912)) % 54.38/54.67 (define @t4926 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 @t4872) @t4870))) % 54.38/54.67 (define @t4927 () (tptp.hBOOL (tptp.hAPP @t3558 @t4908))) % 54.38/54.67 (define @t4928 () (@list @t1753 @t176 @t125 @t17)) % 54.38/54.67 (define @t4929 () (tptp.hBOOL (tptp.hAPP @t3558 @t4920))) % 54.38/54.67 (define @t4930 () (tptp.hBOOL (tptp.hAPP @t3558 @t4921))) % 54.38/54.67 (define @t4931 () (tptp.tc_fun @t67 @t4595)) % 54.38/54.67 (define @t4932 () (tptp.c_Relation_Ototal__on @t17 @t226 @t1753)) % 54.38/54.67 (define @t4933 () (tptp.c_Relation_Osingle__valued @t17 @t67 @t1753)) % 54.38/54.67 (define @t4934 () (tptp.hAPP @t4497 @t748)) % 54.38/54.67 (define @t4935 () (@list @t522 @t176 @t125 @t1753 @t17)) % 54.38/54.67 (define @t4936 () (tptp.c_Nat_Ocompow @t3532 tptp.tc_HOL_Obool)) % 54.38/54.67 (define @t4937 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t3533) @t4289) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3533 @t3533) @t4936) @t2186))) % 54.38/54.67 (define @t4938 () (tptp.hBOOL (tptp.hAPP @t4857 @t4879))) % 54.38/54.67 (define @t4939 () (@list @t2186 @t1882 @t17)) % 54.38/54.67 (define @t4940 () (tptp.hAPP (tptp.hAPP @t4936 @t33) @t2186)) % 54.38/54.67 (define @t4941 () (@list @t33 @t2186 @t17)) % 54.38/54.67 (define @t4942 () (tptp.c_Nat_Ocompow @t17 @t17)) % 54.38/54.67 (define @t4943 () (tptp.hAPP (tptp.hAPP @t4942 @t86) @t2)) % 54.38/54.67 (define @t4944 () (tptp.hAPP @t4942 @t33)) % 54.38/54.67 (define @t4945 () (tptp.hAPP @t4944 @t2)) % 54.38/54.67 (define @t4946 () (@list @t2186 @t33 @t17)) % 54.38/54.67 (define @t4947 () (tptp.hAPP (tptp.hAPP @t4692 @t4940) @t2186)) % 54.38/54.67 (define @t4948 () (tptp.hBOOL (tptp.hAPP @t4857 (tptp.hAPP (tptp.hAPP @t4936 @t16) @t2186)))) % 54.38/54.67 (define @t4949 () (tptp.hAPP (tptp.hAPP @t4936 @t34) @t2186)) % 54.38/54.67 (define @t4950 () (tptp.hAPP (tptp.hAPP @t4936 @t56) @t2186)) % 54.38/54.67 (define @t4951 () (tptp.hBOOL (tptp.hAPP @t4899 @t4949))) % 54.38/54.67 (define @t4952 () (tptp.hAPP @t3542 (tptp.hAPP @t4849 @t522))) % 54.38/54.67 (define @t4953 () (not (tptp.hBOOL (tptp.hAPP @t4952 @t2186)))) % 54.38/54.67 (define @t4954 () (tptp.hAPP (tptp.hAPP @t4936 @t222) @t2186)) % 54.38/54.67 (define @t4955 () (tptp.hAPP @t3542 (tptp.hAPP @t3557 @t283))) % 54.38/54.67 (define @t4956 () (@list @t283 @t222)) % 54.38/54.67 (define @t4957 () (=> @t83 (not @t4266))) % 54.38/54.67 (define @t4958 () (tptp.hBOOL (tptp.hAPP @t4899 @t4940))) % 54.38/54.67 (define @t4959 () (@list @t2186 @t33 @t522 @t125 @t17)) % 54.38/54.67 (define @t4960 () (tptp.hBOOL (tptp.hAPP @t4955 @t2186))) % 54.38/54.67 (define @t4961 () (tptp.c_Transitive__Closure_Ortrancl @t17 @t111)) % 54.38/54.67 (define @t4962 () (tptp.hBOOL (tptp.hAPP @t3970 @t4961))) % 54.38/54.67 (define @t4963 () (tptp.hBOOL (tptp.hAPP @t3970 (tptp.c_Transitive__Closure_Ortrancl @t17 (tptp.hAPP (tptp.hAPP @t3876 @t111) @t2260))))) % 54.38/54.68 (define @t4964 () (@list @t2260 @t111 @t346 @t36 @t17)) % 54.38/54.68 (define @t4965 () (tptp.hAPP @t3542 (tptp.hAPP @t4849 @t3))) % 54.38/54.68 (define @t4966 () (tptp.hBOOL (tptp.hAPP @t4952 @t4940))) % 54.38/54.68 (define @t4967 () (tptp.hAPP @t3542 (tptp.hAPP @t4847 @t176))) % 54.38/54.68 (define @t4968 () (tptp.hAPP @t3542 (tptp.hAPP @t3557 @t748))) % 54.38/54.68 (define @t4969 () (tptp.c_Finite__Set_Ofold @t17 @t17 @t2357)) % 54.38/54.68 (define @t4970 () (tptp.hAPP (tptp.hAPP @t4969 @t125) @t226)) % 54.38/54.68 (define @t4971 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t67 @t17 @t2) @t522)) % 54.38/54.68 (define @t4972 () (tptp.c_Finite__Set_Ofold @t17 @t67 @t2)) % 54.38/54.68 (define @t4973 () (tptp.c_Finite__Set_Ofold @t17 @t17 @t2967)) % 54.38/54.68 (define @t4974 () (tptp.hAPP @t4973 @t346)) % 54.38/54.68 (define @t4975 () (tptp.hAPP @t4974 @t226)) % 54.38/54.68 (define @t4976 () (@list @t36 @t346 @t226 @t17)) % 54.38/54.68 (define @t4977 () (tptp.c_Finite__Set_Ofold @t17 @t17 @t4028)) % 54.38/54.68 (define @t4978 () (tptp.hAPP @t4977 @t346)) % 54.38/54.68 (define @t4979 () (tptp.hAPP @t4978 @t226)) % 54.38/54.68 (define @t4980 () (tptp.c_Finite__Set_Ofold @t17 @t17 @t2286)) % 54.38/54.68 (define @t4981 () (tptp.hAPP @t4980 @t346)) % 54.38/54.68 (define @t4982 () (tptp.hAPP @t4981 @t226)) % 54.38/54.68 (define @t4983 () (tptp.hAPP @t4969 @t346)) % 54.38/54.68 (define @t4984 () (tptp.hAPP @t4983 @t226)) % 54.38/54.68 (define @t4985 () (tptp.hAPP (tptp.hAPP @t4972 @t4527) @t226)) % 54.38/54.68 (define @t4986 () (tptp.hAPP @t4972 @t522)) % 54.38/54.68 (define @t4987 () (tptp.hAPP @t4986 @t3156)) % 54.38/54.68 (define @t4988 () (= @t4987 @t4985)) % 54.38/54.68 (define @t4989 () (@list @t125 @t522 @t226 @t2 @t67 @t17)) % 54.38/54.68 (define @t4990 () (tptp.hAPP @t4986 @t226)) % 54.38/54.68 (define @t4991 () (tptp.hAPP @t127 @t4990)) % 54.38/54.68 (define @t4992 () (= @t4987 @t4991)) % 54.38/54.68 (define @t4993 () (tptp.c_Finite__Set_Ofold @t17 @t67 (tptp.hAPP (tptp.hAPP @t3190 @t3036) @t2))) % 54.38/54.68 (define @t4994 () (tptp.c_Finite__Set_Ofold @t17 @t67 (tptp.hAPP (tptp.hAPP @t3190 @t4086) @t2))) % 54.38/54.68 (define @t4995 () (tptp.c_Finite__Set_Ofold @t17 @t17 @t2)) % 54.38/54.68 (define @t4996 () (tptp.hAPP @t4187 @t346)) % 54.38/54.68 (define @t4997 () (@list @t346 @t36 @t226 @t17)) % 54.38/54.68 (define @t4998 () (tptp.hAPP @t4108 @t346)) % 54.38/54.68 (define @t4999 () (= (tptp.hAPP @t4403 @t3210) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t17 @t17 @t349) @t36) @t226))) % 54.38/54.68 (define @t5000 () (tptp.hAPP (tptp.hAPP @t4980 @t36) @t226)) % 54.38/54.68 (define @t5001 () (tptp.hAPP (tptp.hAPP @t4969 @t36) @t226)) % 54.38/54.68 (define @t5002 () (tptp.hAPP (tptp.hAPP @t4980 @t125) @t226)) % 54.38/54.68 (define @t5003 () (tptp.hAPP @t127 (tptp.hAPP @t4986 @t3256))) % 54.38/54.68 (define @t5004 () (tptp.c_Finite__Set_Ofun__left__comm @t17 @t67 @t2)) % 54.38/54.68 (define @t5005 () (@list @t522 @t125 @t226 @t2 @t67 @t17)) % 54.38/54.68 (define @t5006 () (@var "B_y_H" $$unsorted)) % 54.38/54.68 (define @t5007 () (tptp.c_Complete__Lattice_OInf__class_OInf @t17 @t226)) % 54.38/54.68 (define @t5008 () (tptp.hBOOL (tptp.hAPP @t3130 @t3))) % 54.38/54.68 (define @t5009 () (@list @t1942 @t17)) % 54.38/54.68 (define @t5010 () (tptp.hAPP @t2420 @t226)) % 54.38/54.68 (define @t5011 () (tptp.hBOOL (tptp.hAPP @t5010 @t3067))) % 54.38/54.68 (define @t5012 () (tptp.hBOOL (tptp.hAPP @t3976 @t563))) % 54.38/54.68 (define @t5013 () (tptp.hBOOL (tptp.hAPP @t5010 (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t563)))) % 54.38/54.68 (define @t5014 () (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t226)) % 54.38/54.68 (define @t5015 () (tptp.hAPP @t232 @t5014)) % 54.38/54.68 (define @t5016 () (tptp.hBOOL (tptp.hAPP @t5015 @t230))) % 54.38/54.68 (define @t5017 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t230) @t226))) % 54.38/54.68 (define @t5018 () (forall @t7 (=> @t2422 (tptp.hBOOL (tptp.hAPP @t379 @t3))))) % 54.38/54.68 (define @t5019 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t231 @t231)) % 54.38/54.68 (define @t5020 () (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t230)) % 54.38/54.68 (define @t5021 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t231 @t2621 tptp.tc_HOL_Obool) @t3901) @t226)) % 54.38/54.68 (define @t5022 () (tptp.c_COMBB @t2621 @t2621 @t17)) % 54.38/54.68 (define @t5023 () (tptp.c_COMBB @t2621 tptp.tc_HOL_Obool @t17)) % 54.38/54.68 (define @t5024 () (tptp.hAPP (tptp.hAPP @t3910 @t36) @t230)) % 54.38/54.68 (define @t5025 () (tptp.hAPP (tptp.hAPP @t3911 @t226) @t230)) % 54.38/54.68 (define @t5026 () (tptp.c_Set_Oimage @t67 @t231 @t230)) % 54.38/54.68 (define @t5027 () (tptp.hAPP @t5026 @t226)) % 54.38/54.68 (define @t5028 () (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t5027)) % 54.38/54.68 (define @t5029 () (@list @t226 @t230 @t67 @t17)) % 54.38/54.68 (define @t5030 () (tptp.hAPP (tptp.hAPP @t3910 @t226) (tptp.hAPP (tptp.hAPP @t3910 @t230) @t3909))) % 54.38/54.68 (define @t5031 () (tptp.hAPP @t5026 @t563)) % 54.38/54.68 (define @t5032 () (tptp.hAPP (tptp.c_Set_Oimage @t67 @t231 @t226) @t563)) % 54.38/54.68 (define @t5033 () (tptp.hAPP (tptp.hAPP @t4018 @t226) @t230)) % 54.38/54.68 (define @t5034 () (tptp.hAPP @t3962 (tptp.hAPP @t4233 (tptp.hAPP @t4561 @t3915)))) % 54.38/54.68 (define @t5035 () (tptp.hAPP @t3341 (tptp.c_HOL_OAll @t17))) % 54.38/54.68 (define @t5036 () (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t226)) % 54.38/54.68 (define @t5037 () (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t563)) % 54.38/54.68 (define @t5038 () (tptp.hBOOL (tptp.hAPP @t5010 @t5037))) % 54.38/54.68 (define @t5039 () (tptp.c_COMBI @t231)) % 54.38/54.68 (define @t5040 () (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t2909)) % 54.38/54.68 (define @t5041 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2423 @t231)) % 54.38/54.68 (define @t5042 () (tptp.c_COMBC @t2423 @t3079 @t231)) % 54.38/54.68 (define @t5043 () (tptp.hAPP @t5041 @t226)) % 54.38/54.68 (define @t5044 () (tptp.hAPP @t5043 (tptp.hAPP (tptp.hAPP @t5042 @t3078) @t230))) % 54.38/54.68 (define @t5045 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2423 @t226)) % 54.38/54.68 (define @t5046 () (tptp.hAPP (tptp.hAPP @t3078 @t5045) @t230)) % 54.38/54.68 (define @t5047 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t231 @t231)) % 54.38/54.68 (define @t5048 () (tptp.hAPP @t5047 @t230)) % 54.38/54.68 (define @t5049 () (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t230)) % 54.38/54.68 (define @t5050 () (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t226)) % 54.38/54.68 (define @t5051 () (tptp.hAPP @t2622 @t226)) % 54.38/54.68 (define @t5052 () (tptp.hAPP @t4006 @t3)) % 54.38/54.68 (define @t5053 () (@list @t226 @t563 @t17)) % 54.38/54.68 (define @t5054 () (tptp.hAPP (tptp.hAPP @t1938 @t5045) @t230)) % 54.38/54.68 (define @t5055 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2423 @t231) @t226) (tptp.hAPP (tptp.hAPP @t5042 @t1938) @t230))) % 54.38/54.68 (define @t5056 () (forall @t7 (=> @t2422 (tptp.hBOOL (tptp.hAPP @t3585 @t346))))) % 54.38/54.68 (define @t5057 () (tptp.hBOOL (tptp.hAPP @t3904 @t226))) % 54.38/54.68 (define @t5058 () (tptp.hBOOL (tptp.hAPP @t3130 @t5050))) % 54.38/54.68 (define @t5059 () (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t5027)) % 54.38/54.68 (define @t5060 () (@var "B_X" $$unsorted)) % 54.38/54.68 (define @t5061 () (tptp.hAPP @t3901 @t5060)) % 54.38/54.68 (define @t5062 () (@list @t5060)) % 54.38/54.68 (define @t5063 () (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t2909)) % 54.38/54.68 (define @t5064 () (@var "B_M" $$unsorted)) % 54.38/54.68 (define @t5065 () (tptp.hAPP (tptp.hAPP @t3910 @t125) @t3180)) % 54.38/54.68 (define @t5066 () (@var "B_c2" $$unsorted)) % 54.38/54.68 (define @t5067 () (@var "B_c1" $$unsorted)) % 54.38/54.68 (define @t5068 () (@var "B_c" $$unsorted)) % 54.38/54.68 (define @t5069 () (@list @t55 @t346 @t226 @t17)) % 54.38/54.68 (define @t5070 () (tptp.hBOOL (tptp.hAPP @t5010 @t5060))) % 54.38/54.68 (define @t5071 () (tptp.hBOOL (tptp.hAPP @t5061 @t563))) % 54.38/54.68 (define @t5072 () (@var "B_Q" $$unsorted)) % 54.38/54.68 (define @t5073 () (tptp.hBOOL (tptp.hAPP @t4965 @t1753))) % 54.38/54.68 (define @t5074 () (tptp.hBOOL (tptp.hAPP @t2421 @t5072))) % 54.38/54.68 (define @t5075 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t17 @t67 @t2 @t522 @t1 @t3180)) % 54.38/54.68 (define @t5076 () (@var "V_P_H_2" $$unsorted)) % 54.38/54.68 (define @t5077 () (@var "V_xz_2" $$unsorted)) % 54.38/54.68 (define @t5078 () (@var "V_yx_2" $$unsorted)) % 54.38/54.68 (define @t5079 () (tptp.hAPP @t196 @t3170)) % 54.38/54.68 (define @t5080 () (tptp.class_Rings_Olinordered__semidom @t67)) % 54.38/54.68 (define @t5081 () (tptp.c_Nat_Osize__class_Osize @t4743)) % 54.38/54.68 (define @t5082 () (tptp.tc_prod tptp.tc_Nat_Onat @t4743)) % 54.38/54.68 (define @t5083 () (tptp.c_FunDef_Ois__measure @t17 @t2)) % 54.38/54.68 (define @t5084 () (@list @t67 @t2 @t17)) % 54.38/54.68 (define @t5085 () (@var "V_ys" $$unsorted)) % 54.38/54.68 (define @t5086 () (@var "V_xs" $$unsorted)) % 54.38/54.68 (define @t5087 () (= @t5086 @t5085)) % 54.38/54.68 (define @t5088 () (tptp.tc_List_Olist @t10)) % 54.38/54.68 (define @t5089 () (tptp.c_Nat_Osize__class_Osize @t5088)) % 54.38/54.68 (define @t5090 () (tptp.hAPP @t5089 @t5085)) % 54.38/54.68 (define @t5091 () (tptp.hAPP @t5089 @t5086)) % 54.38/54.68 (define @t5092 () (@list @t5085 @t5086 @t10)) % 54.38/54.68 (define @t5093 () (@var "V_ys_2" $$unsorted)) % 54.38/54.68 (define @t5094 () (tptp.hAPP @t5081 @t5093)) % 54.38/54.68 (define @t5095 () (= @t5094 @t33)) % 54.38/54.68 (define @t5096 () (@var "V_xs_2" $$unsorted)) % 54.38/54.68 (define @t5097 () (tptp.hAPP @t5081 @t5096)) % 54.38/54.68 (define @t5098 () (tptp.c_Product__Type_OPair @t4743 @t4743)) % 54.38/54.68 (define @t5099 () (tptp.hAPP @t5098 @t5096)) % 54.38/54.68 (define @t5100 () (tptp.c_member @t4751)) % 54.38/54.68 (define @t5101 () (tptp.hAPP @t5100 (tptp.hAPP @t5099 @t5093))) % 54.38/54.68 (define @t5102 () (tptp.tc_fun @t4752 tptp.tc_HOL_Obool)) % 54.38/54.68 (define @t5103 () (tptp.tc_fun @t4743 @t5102)) % 54.38/54.68 (define @t5104 () (tptp.tc_fun @t4743 @t4751)) % 54.38/54.68 (define @t5105 () (tptp.tc_fun @t4743 tptp.tc_HOL_Obool)) % 54.38/54.68 (define @t5106 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1986 @t4743)) % 54.38/54.68 (define @t5107 () (tptp.hAPP (tptp.hAPP @t5106 tptp.c_fequal) @t5081)) % 54.38/54.68 (define @t5108 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t4743)) % 54.38/54.68 (define @t5109 () (tptp.tc_fun @t4743 tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5110 () (tptp.hAPP (tptp.c_COMBB @t1986 (tptp.tc_fun @t5109 @t5105) @t4743) @t5108)) % 54.38/54.68 (define @t5111 () (tptp.c_COMBC @t4743 @t5109 @t5105)) % 54.38/54.68 (define @t5112 () (tptp.hAPP (tptp.hAPP @t5111 (tptp.hAPP @t5110 @t5107)) @t5081)) % 54.38/54.68 (define @t5113 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1991 @t4743)) % 54.38/54.68 (define @t5114 () (tptp.hAPP @t5113 tptp.c_fconj)) % 54.38/54.68 (define @t5115 () (tptp.tc_fun @t4743 @t1991)) % 54.38/54.68 (define @t5116 () (tptp.c_COMBB @t5105 @t5115 @t4743)) % 54.38/54.68 (define @t5117 () (tptp.c_COMBS @t4743 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.38/54.68 (define @t5118 () (tptp.tc_fun @t5105 @t5105)) % 54.38/54.68 (define @t5119 () (tptp.hAPP (tptp.c_COMBB @t5115 @t5118 @t4743) @t5117)) % 54.38/54.68 (define @t5120 () (tptp.c_COMBS @t4743 @t5105 @t5105)) % 54.38/54.68 (define @t5121 () (tptp.c_Product__Type_Oprod_Oprod__case @t4743 @t4743 tptp.tc_HOL_Obool)) % 54.38/54.68 (define @t5122 () (tptp.c_Set_OCollect @t4751)) % 54.38/54.68 (define @t5123 () (tptp.hAPP @t4528 @t5097)) % 54.38/54.68 (define @t5124 () (tptp.hAPP @t2627 (tptp.hAPP @t2625 @t5123))) % 54.38/54.68 (define @t5125 () (tptp.hAPP @t5124 (tptp.hAPP @t4530 @t1936))) % 54.38/54.68 (define @t5126 () (tptp.c_List_Osublist @t17 @t5096 @t1936)) % 54.38/54.68 (define @t5127 () (@list @t1936 @t5096 @t17)) % 54.38/54.68 (define @t5128 () (tptp.c_COMBC @t4743 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 54.38/54.68 (define @t5129 () (tptp.hAPP @t5128 @t5107)) % 54.38/54.68 (define @t5130 () (tptp.hAPP @t5129 @t34)) % 54.38/54.68 (define @t5131 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4743)) % 54.38/54.68 (define @t5132 () (tptp.c_List_Olist_OCons @t17)) % 54.38/54.68 (define @t5133 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t4743 @t4743) @t5132)) % 54.38/54.68 (define @t5134 () (tptp.tc_prod @t17 @t4743)) % 54.38/54.68 (define @t5135 () (tptp.c_List_Olist_OCons @t10)) % 54.38/54.68 (define @t5136 () (tptp.hAPP @t5135 @t28)) % 54.38/54.68 (define @t5137 () (tptp.hAPP @t5136 @t5085)) % 54.38/54.68 (define @t5138 () (tptp.hAPP @t79 @t5091)) % 54.38/54.68 (define @t5139 () (tptp.hAPP @t5136 @t5086)) % 54.38/54.68 (define @t5140 () (@list @t28 @t10 @t5086)) % 54.38/54.68 (define @t5141 () (@list @t5086 @t28 @t10)) % 54.38/54.68 (define @t5142 () (@var "V_list_H_2" $$unsorted)) % 54.38/54.68 (define @t5143 () (@var "V_list_2" $$unsorted)) % 54.38/54.68 (define @t5144 () (tptp.hAPP @t5132 @t36)) % 54.38/54.68 (define @t5145 () (tptp.hAPP @t5144 @t5143)) % 54.38/54.68 (define @t5146 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 54.38/54.68 (define @t5147 () (@var "V_list" $$unsorted)) % 54.38/54.68 (define @t5148 () (tptp.hAPP @t5135 @t149)) % 54.38/54.68 (define @t5149 () (= @t5097 @t5094)) % 54.38/54.68 (define @t5150 () (tptp.hAPP @t5132 @t176)) % 54.38/54.68 (define @t5151 () (tptp.hAPP @t5150 @t5093)) % 54.38/54.68 (define @t5152 () (tptp.hAPP @t5132 @t125)) % 54.38/54.68 (define @t5153 () (tptp.hAPP @t5152 @t5096)) % 54.38/54.68 (define @t5154 () (tptp.hAPP @t5098 @t5153)) % 54.38/54.68 (define @t5155 () (tptp.hAPP @t5100 (tptp.hAPP @t5154 @t5151))) % 54.38/54.68 (define @t5156 () (@list @t1753 @t5093 @t176 @t5096 @t125 @t17)) % 54.38/54.68 (define @t5157 () (tptp.c_member @t4743)) % 54.38/54.68 (define @t5158 () (tptp.hAPP (tptp.c_COMBC @t4743 @t5105 tptp.tc_HOL_Obool) @t5157)) % 54.38/54.68 (define @t5159 () (tptp.tc_fun @t4743 @t4743)) % 54.38/54.68 (define @t5160 () (tptp.tc_fun @t5159 @t5105)) % 54.38/54.68 (define @t5161 () (tptp.tc_fun @t17 @t5105)) % 54.38/54.68 (define @t5162 () (tptp.tc_fun @t17 @t5159)) % 54.38/54.68 (define @t5163 () (tptp.tc_fun @t17 @t5115)) % 54.38/54.68 (define @t5164 () (tptp.tc_fun @t17 @t5118)) % 54.38/54.68 (define @t5165 () (tptp.c_Set_OCollect @t4743)) % 54.38/54.68 (define @t5166 () (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t10) @t28)) % 54.38/54.68 (define @t5167 () (tptp.hAPP (tptp.c_Random_Opick @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t10)) @t28) @t5086)) @t240)) % 54.38/54.68 (define @t5168 () (tptp.hBOOL (tptp.hAPP @t1891 @t5166))) % 54.38/54.68 (define @t5169 () (tptp.c_Random_Oselect__weight @t17 @t5096)) % 54.38/54.68 (define @t5170 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t17)) % 54.38/54.68 (define @t5171 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t17)) % 54.38/54.68 (define @t5172 () (@list @t5096 @t125 @t17)) % 54.38/54.68 (define @t5173 () (tptp.c_List_Olexord @t17 @t1753)) % 54.38/54.68 (define @t5174 () (tptp.hAPP @t5098 @t125)) % 54.38/54.68 (define @t5175 () (tptp.hAPP @t5100 (tptp.hAPP @t5174 @t176))) % 54.38/54.68 (define @t5176 () (tptp.hBOOL (tptp.hAPP @t5175 @t5173))) % 54.38/54.68 (define @t5177 () (tptp.hAPP (tptp.hAPP @t5132 @t346) @t176)) % 54.38/54.68 (define @t5178 () (tptp.hAPP @t5144 @t125)) % 54.38/54.68 (define @t5179 () (tptp.hAPP @t5081 @t176)) % 54.38/54.68 (define @t5180 () (tptp.hAPP @t5081 @t125)) % 54.38/54.68 (define @t5181 () (= @t5180 @t5179)) % 54.38/54.68 (define @t5182 () (tptp.c_List_Olistrel1 @t17 @t1753)) % 54.38/54.68 (define @t5183 () (tptp.c_Transitive__Closure_Ortrancl @t4743 @t5182)) % 54.38/54.68 (define @t5184 () (tptp.hBOOL (tptp.hAPP @t5101 @t5183))) % 54.38/54.68 (define @t5185 () (@list @t5093 @t5096 @t1753 @t176 @t125 @t17)) % 54.38/54.68 (define @t5186 () (tptp.c_Wellfounded_Oacc @t4743 @t5182)) % 54.38/54.68 (define @t5187 () (tptp.hAPP @t5157 @t5153)) % 54.38/54.68 (define @t5188 () (tptp.hAPP @t5157 @t5096)) % 54.38/54.68 (define @t5189 () (tptp.hBOOL (tptp.hAPP @t5188 @t5186))) % 54.38/54.68 (define @t5190 () (tptp.c_Orderings_Oord__class_Oless__eq @t4752)) % 54.38/54.68 (define @t5191 () (tptp.hAPP (tptp.c_Relation_Oconverse @t4743 @t4743) @t5182)) % 54.38/54.68 (define @t5192 () (tptp.c_List_Olistrel1 @t17 @t4907)) % 54.38/54.68 (define @t5193 () (tptp.hAPP @t5190 @t5182)) % 54.38/54.68 (define @t5194 () (tptp.hAPP @t5100 (tptp.hAPP @t5154 (tptp.hAPP @t5152 @t5093)))) % 54.38/54.68 (define @t5195 () (tptp.hBOOL (tptp.hAPP @t5101 @t5182))) % 54.38/54.68 (define @t5196 () (@list @t125 @t1753 @t5093 @t5096 @t17)) % 54.38/54.68 (define @t5197 () (@list @t1753 @t5093 @t5096 @t17)) % 54.38/54.68 (define @t5198 () (= @t5096 @t5093)) % 54.38/54.68 (define @t5199 () (tptp.c_Orderings_Obot__class_Obot @t5105)) % 54.38/54.68 (define @t5200 () (tptp.c_Set_Oinsert @t4743)) % 54.38/54.68 (define @t5201 () (tptp.c_List_Olistrel @t17 @t1753)) % 54.38/54.68 (define @t5202 () (tptp.c_Relation_OImage @t4743 @t4743 @t5201)) % 54.38/54.68 (define @t5203 () (tptp.hAPP @t5098 @t176)) % 54.38/54.68 (define @t5204 () (tptp.c_List_Olistrel @t17 @t4870)) % 54.38/54.68 (define @t5205 () (@list @t1753 @t5096 @t17)) % 54.38/54.68 (define @t5206 () (tptp.hAPP @t5190 @t5201)) % 54.38/54.68 (define @t5207 () (tptp.hBOOL (tptp.hAPP @t5101 @t5201))) % 54.38/54.68 (define @t5208 () (@var "V_zs_2" $$unsorted)) % 54.38/54.68 (define @t5209 () (tptp.hAPP @t5098 @t5093)) % 54.38/54.68 (define @t5210 () (tptp.hBOOL (tptp.hAPP @t5101 @t5204))) % 54.38/54.68 (define @t5211 () (@var "B_xs" $$unsorted)) % 54.38/54.68 (define @t5212 () (tptp.hAPP @t5132 @t3)) % 54.38/54.68 (define @t5213 () (tptp.hAPP @t5212 @t5211)) % 54.38/54.68 (define @t5214 () (tptp.hBOOL (tptp.hAPP @t4664 @t176))) % 54.38/54.68 (define @t5215 () (tptp.hBOOL (tptp.hAPP @t4719 @t3574))) % 54.38/54.68 (define @t5216 () (tptp.hAPP @t5132 @t3574)) % 54.38/54.68 (define @t5217 () (tptp.hAPP @t5132 @t2105)) % 54.38/54.68 (define @t5218 () (@var "B_ys" $$unsorted)) % 54.38/54.68 (define @t5219 () (tptp.hAPP @t5132 @t283)) % 54.38/54.68 (define @t5220 () (tptp.c_List_Olists @t17 @t226)) % 54.38/54.68 (define @t5221 () (tptp.c_Orderings_Otop__class_Otop @t5105)) % 54.38/54.68 (define @t5222 () (tptp.c_List_Olists @t17 @t230)) % 54.38/54.68 (define @t5223 () (tptp.c_Orderings_Oord__class_Oless__eq @t5105)) % 54.38/54.68 (define @t5224 () (tptp.hBOOL (tptp.hAPP @t5188 @t5220))) % 54.38/54.68 (define @t5225 () (tptp.hBOOL (tptp.hAPP @t5188 (tptp.c_List_Olists @t17 @t4271)))) % 54.38/54.68 (define @t5226 () (tptp.c_List_Onth @t17)) % 54.38/54.68 (define @t5227 () (tptp.hAPP @t5226 @t5093)) % 54.38/54.68 (define @t5228 () (tptp.hAPP @t5226 @t5096)) % 54.38/54.68 (define @t5229 () (tptp.hAPP @t5228 @t16)) % 54.38/54.68 (define @t5230 () (tptp.hAPP @t3539 @t5229)) % 54.38/54.68 (define @t5231 () (tptp.hAPP @t60 @t16)) % 54.38/54.68 (define @t5232 () (tptp.hBOOL (tptp.hAPP @t5231 @t5097))) % 54.38/54.68 (define @t5233 () (tptp.hAPP @t3539 @t2109)) % 54.38/54.68 (define @t5234 () (tptp.c_Finite__Set_Ofinite @t4743)) % 54.38/54.68 (define @t5235 () (tptp.c_List_Onth @t10)) % 54.38/54.68 (define @t5236 () (tptp.hAPP @t5235 @t5086)) % 54.38/54.68 (define @t5237 () (tptp.hAPP @t5236 @t9)) % 54.38/54.68 (define @t5238 () (tptp.hAPP @t5235 @t5139)) % 54.38/54.68 (define @t5239 () (tptp.hAPP @t5228 @t1264)) % 54.38/54.68 (define @t5240 () (tptp.hBOOL (tptp.hAPP @t1616 @t5097))) % 54.38/54.68 (define @t5241 () (@list @t17 @t5093 @t5096)) % 54.38/54.68 (define @t5242 () (tptp.hAPP @t5238 @t9)) % 54.38/54.68 (define @t5243 () (@list @t5086 @t28 @t10 @t9)) % 54.38/54.68 (define @t5244 () (tptp.hAPP @t5238 @t1092)) % 54.38/54.68 (define @t5245 () (not @t1343)) % 54.38/54.68 (define @t5246 () (@list @t5086 @t28 @t10 @t731)) % 54.38/54.68 (define @t5247 () (tptp.tc_prod @t17 @t2335)) % 54.38/54.68 (define @t5248 () (tptp.hAPP (tptp.c_COMBB @t17 (tptp.tc_fun @t2335 @t5247) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t17 @t2335))) % 54.38/54.68 (define @t5249 () (tptp.c_Product__Type_Oscomp @t2335 tptp.tc_Code__Numeral_Ocode__numeral @t2335 @t5247)) % 54.38/54.68 (define @t5250 () (tptp.c_Random_Oselect @t17 @t5096)) % 54.38/54.68 (define @t5251 () (@list @t5096 @t17)) % 54.38/54.68 (define @t5252 () (tptp.c_List_Otake @t17)) % 54.38/54.68 (define @t5253 () (tptp.hAPP @t5252 @t1264)) % 54.38/54.68 (define @t5254 () (tptp.c_List_Otake @t10)) % 54.38/54.68 (define @t5255 () (tptp.hAPP @t5254 @t9)) % 54.38/54.68 (define @t5256 () (tptp.hAPP @t5255 @t5086)) % 54.38/54.68 (define @t5257 () (tptp.hBOOL (tptp.hAPP @t5138 @t9))) % 54.38/54.68 (define @t5258 () (@list @t9 @t5086 @t10)) % 54.38/54.68 (define @t5259 () (tptp.hAPP @t5236 @t240)) % 54.38/54.68 (define @t5260 () (tptp.hBOOL (tptp.hAPP @t245 @t9))) % 54.38/54.68 (define @t5261 () (tptp.hAPP @t2267 @t5091)) % 54.38/54.68 (define @t5262 () (@list @t5086 @t9 @t10)) % 54.38/54.68 (define @t5263 () (tptp.hAPP @t5254 @t12)) % 54.38/54.68 (define @t5264 () (@list @t5086 @t28 @t9 @t10)) % 54.38/54.68 (define @t5265 () (tptp.hAPP (tptp.hAPP @t5254 @t58) @t5086)) % 54.38/54.68 (define @t5266 () (@list @t5086 @t58 @t9 @t10)) % 54.38/54.68 (define @t5267 () (tptp.hAPP @t5252 @t33)) % 54.38/54.68 (define @t5268 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t17 @t5171) (tptp.hAPP @t5170 @t1751)) @t5096)) % 54.38/54.68 (define @t5269 () (tptp.c_List_Oset @t17)) % 54.38/54.68 (define @t5270 () (tptp.c_COMBB @t231 @t2621 @t4743)) % 54.38/54.68 (define @t5271 () (tptp.c_COMBC @t4743 @t231 tptp.tc_HOL_Obool)) % 54.38/54.68 (define @t5272 () (tptp.hAPP @t5271 (tptp.hAPP (tptp.hAPP @t5270 @t232) @t5269))) % 54.38/54.68 (define @t5273 () (tptp.hAPP @t5272 @t226)) % 54.38/54.68 (define @t5274 () (tptp.hAPP @t5117 (tptp.hAPP @t5114 @t5273))) % 54.38/54.68 (define @t5275 () (@list @t33 @t226 @t17)) % 54.38/54.68 (define @t5276 () (tptp.hAPP @t5269 @t5096)) % 54.38/54.68 (define @t5277 () (tptp.c_List_Omap @t17 @t67)) % 54.38/54.68 (define @t5278 () (tptp.hAPP @t5277 @t2)) % 54.38/54.68 (define @t5279 () (tptp.tc_List_Olist @t67)) % 54.38/54.68 (define @t5280 () (tptp.c_Fun_Oinj__on @t4743 @t5279 @t5278 @t5221)) % 54.38/54.68 (define @t5281 () (tptp.hAPP @t5267 @t5096)) % 54.38/54.68 (define @t5282 () (tptp.hAPP @t5269 @t5281)) % 54.38/54.68 (define @t5283 () (@list @t5096 @t33 @t17)) % 54.38/54.68 (define @t5284 () (tptp.hBOOL (tptp.hAPP @t3349 @t5276))) % 54.38/54.68 (define @t5285 () (@list @t5096 @t33 @t125 @t17)) % 54.38/54.68 (define @t5286 () (tptp.c_List_Otake @t67)) % 54.38/54.68 (define @t5287 () (tptp.hAPP @t5286 @t33)) % 54.38/54.68 (define @t5288 () (tptp.c_List_Omap @t67 @t17)) % 54.38/54.68 (define @t5289 () (tptp.hAPP @t5288 @t2)) % 54.38/54.68 (define @t5290 () (tptp.hAPP @t5289 @t5096)) % 54.38/54.68 (define @t5291 () (@list @t5096 @t2 @t67 @t33 @t17)) % 54.38/54.68 (define @t5292 () (tptp.hAPP @t3155 @t5276)) % 54.38/54.68 (define @t5293 () (tptp.hAPP @t5269 @t5153)) % 54.38/54.68 (define @t5294 () (tptp.c_List_Oset @t67)) % 54.38/54.68 (define @t5295 () (tptp.hAPP @t5294 @t5096)) % 54.38/54.68 (define @t5296 () (tptp.hAPP @t2825 @t5295)) % 54.38/54.68 (define @t5297 () (@list @t5096 @t2 @t67 @t17)) % 54.38/54.68 (define @t5298 () (tptp.c_Set_Oimage @t4743 @t231 @t5269)) % 54.38/54.68 (define @t5299 () (tptp.hAPP @t5278 @t5093)) % 54.38/54.68 (define @t5300 () (tptp.hAPP @t5278 @t5096)) % 54.38/54.68 (define @t5301 () (= (= @t5300 @t5299) @t5198)) % 54.38/54.68 (define @t5302 () (tptp.hAPP @t5269 @t5093)) % 54.38/54.68 (define @t5303 () (tptp.hAPP (tptp.hAPP @t2923 @t5276) @t5302)) % 54.38/54.68 (define @t5304 () (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t5303)) % 54.38/54.68 (define @t5305 () (@list @t5093 @t5096 @t2 @t67 @t17)) % 54.38/54.68 (define @t5306 () (tptp.hAPP @t5294 @t5093)) % 54.38/54.68 (define @t5307 () (tptp.hAPP @t5289 @t5093)) % 54.38/54.68 (define @t5308 () (= @t5290 @t5307)) % 54.38/54.68 (define @t5309 () (@list @t5093 @t5096 @t2 @t17 @t67)) % 54.38/54.68 (define @t5310 () (tptp.hAPP (tptp.hAPP @t5288 @t1) @t5096)) % 54.38/54.68 (define @t5311 () (tptp.c_List_Omap @t17 @t17)) % 54.38/54.68 (define @t5312 () (tptp.hAPP @t5311 @t1961)) % 54.38/54.68 (define @t5313 () (tptp.c_Fun_Oid @t4743)) % 54.38/54.68 (define @t5314 () (tptp.c_List_Omap @t1945 @t17)) % 54.38/54.68 (define @t5315 () (tptp.hAPP @t5314 @t4783)) % 54.38/54.68 (define @t5316 () (tptp.c_List_Omap @t1945 @t67)) % 54.38/54.68 (define @t5317 () (tptp.hAPP @t5316 @t1)) % 54.38/54.68 (define @t5318 () (tptp.hAPP @t5316 @t2)) % 54.38/54.68 (define @t5319 () (tptp.tc_List_Olist @t1945)) % 54.38/54.68 (define @t5320 () (tptp.c_List_Olist_OCons @t67)) % 54.38/54.68 (define @t5321 () (tptp.hAPP @t5320 @t125)) % 54.38/54.68 (define @t5322 () (tptp.hAPP @t5321 @t5096)) % 54.38/54.68 (define @t5323 () (@list @t5096 @t125 @t2 @t17 @t67)) % 54.38/54.68 (define @t5324 () (tptp.hBOOL (tptp.hAPP @t3424 @t5276))) % 54.38/54.68 (define @t5325 () (tptp.hAPP @t5269 @t5126)) % 54.38/54.68 (define @t5326 () (tptp.hBOOL (tptp.hAPP @t3349 @t5325))) % 54.38/54.68 (define @t5327 () (not @t5284)) % 54.38/54.68 (define @t5328 () (@list @t1936 @t5096 @t125 @t17)) % 54.38/54.68 (define @t5329 () (tptp.c_Nat_Osize__class_Osize @t5279)) % 54.38/54.68 (define @t5330 () (tptp.hAPP @t5329 @t5096)) % 54.38/54.68 (define @t5331 () (tptp.hAPP @t232 @t5276)) % 54.38/54.68 (define @t5332 () (@list @t125 @t5096 @t17)) % 54.38/54.68 (define @t5333 () (tptp.hAPP @t5228 @t33)) % 54.38/54.68 (define @t5334 () (tptp.c_List_Onth @t67)) % 54.38/54.68 (define @t5335 () (tptp.hBOOL (tptp.hAPP @t87 @t5097))) % 54.38/54.68 (define @t5336 () (tptp.hAPP @t2880 @t5276)) % 54.38/54.68 (define @t5337 () (tptp.hAPP @t111 @t5239)) % 54.38/54.68 (define @t5338 () (tptp.hBOOL @t5337)) % 54.38/54.68 (define @t5339 () (=> @t5240 @t5338)) % 54.38/54.68 (define @t5340 () (forall @t1268 @t5339)) % 54.38/54.68 (define @t5341 () (tptp.hBOOL (tptp.hAPP @t2421 @t5276))) % 54.38/54.68 (define @t5342 () (forall @t7 (=> @t5341 @t583))) % 54.38/54.68 (define @t5343 () (@list @t111 @t5096 @t17)) % 54.38/54.68 (define @t5344 () (tptp.c_List_Olist_Olist__size @t17 @t2 @t5096)) % 54.38/54.68 (define @t5345 () (tptp.hAPP @t60 @t176)) % 54.38/54.68 (define @t5346 () (@list @t2 @t176 @t5096 @t125 @t17)) % 54.38/54.68 (define @t5347 () (@list @t226 @t5096 @t17)) % 54.38/54.68 (define @t5348 () (tptp.hBOOL (tptp.hAPP @t81 @t5097))) % 54.38/54.68 (define @t5349 () (tptp.c_COMBB @t17 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5350 () (tptp.tc_fun tptp.tc_Nat_Onat @t17)) % 54.38/54.68 (define @t5351 () (tptp.hAPP (tptp.c_COMBC @t17 @t1986 @t1986) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2626 @t2628 @t17) @t2627) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1986 @t2626 @t17) @t2625) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t5350 @t1986) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 (tptp.tc_fun @t5350 @t1986) @t17) @t5349) tptp.c_fequal)) @t5228))))) % 54.38/54.68 (define @t5352 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5353 () (tptp.hAPP (tptp.c_COMBB @t1986 tptp.tc_HOL_Obool @t17) @t5352)) % 54.38/54.68 (define @t5354 () (tptp.hAPP @t5129 @t33)) % 54.38/54.68 (define @t5355 () (tptp.hAPP (tptp.c_List_Ozip @t17 @t17) @t5096)) % 54.38/54.68 (define @t5356 () (tptp.c_List_Oset @t3532)) % 54.38/54.68 (define @t5357 () (tptp.hBOOL (tptp.hAPP @t4140 (tptp.hAPP @t5356 (tptp.hAPP @t5355 @t5093))))) % 54.38/54.68 (define @t5358 () (tptp.c_List_Olist_ONil @t17)) % 54.38/54.68 (define @t5359 () (= @t5096 @t5358)) % 54.38/54.68 (define @t5360 () (not @t5359)) % 54.38/54.68 (define @t5361 () (@list @t17 @t5096)) % 54.38/54.68 (define @t5362 () (tptp.hAPP @t5100 (tptp.hAPP @t5099 @t5358))) % 54.38/54.68 (define @t5363 () (tptp.hAPP @t5098 @t5358)) % 54.38/54.68 (define @t5364 () (tptp.hAPP @t5100 (tptp.hAPP @t5363 @t5096))) % 54.38/54.68 (define @t5365 () (tptp.c_List_Olist_ONil @t67)) % 54.38/54.68 (define @t5366 () (= @t5096 @t5365)) % 54.38/54.68 (define @t5367 () (@list @t5096 @t2 @t17 @t67)) % 54.38/54.68 (define @t5368 () (tptp.hAPP (tptp.c_List_Omap @t2172 @t67) @t2225)) % 54.38/54.68 (define @t5369 () (tptp.hAPP @t5368 @t5208)) % 54.38/54.68 (define @t5370 () (tptp.hAPP (tptp.c_List_Omap @t2172 @t17) @t2226)) % 54.38/54.68 (define @t5371 () (tptp.hAPP @t5370 @t5208)) % 54.38/54.68 (define @t5372 () (tptp.c_List_Ozip @t17 @t67)) % 54.38/54.68 (define @t5373 () (tptp.hAPP @t5372 @t5096)) % 54.38/54.68 (define @t5374 () (tptp.hAPP @t5373 @t5093)) % 54.38/54.68 (define @t5375 () (tptp.hAPP @t5329 @t5093)) % 54.38/54.68 (define @t5376 () (= @t5097 @t5375)) % 54.38/54.68 (define @t5377 () (@list @t5093 @t67 @t5096 @t17)) % 54.38/54.68 (define @t5378 () (@list @t2456 @t17)) % 54.38/54.68 (define @t5379 () (tptp.c_List_Olist_ONil @t10)) % 54.38/54.68 (define @t5380 () (tptp.hAPP @t5081 @t5085)) % 54.38/54.68 (define @t5381 () (tptp.c_List_Ozip @t10 @t17)) % 54.38/54.68 (define @t5382 () (tptp.hAPP @t5381 @t5086)) % 54.38/54.68 (define @t5383 () (tptp.hAPP @t5382 @t5085)) % 54.38/54.68 (define @t5384 () (tptp.tc_prod @t10 @t17)) % 54.38/54.68 (define @t5385 () (@var "V_list_H" $$unsorted)) % 54.38/54.68 (define @t5386 () (tptp.hAPP (tptp.hAPP @t5135 @t1332) @t5385)) % 54.38/54.68 (define @t5387 () (@list @t5385 @t1332 @t10)) % 54.38/54.68 (define @t5388 () (tptp.c_List_Olist_ONil @t5384)) % 54.38/54.68 (define @t5389 () (@list @t5085 @t5086 @t9 @t17 @t10)) % 54.38/54.68 (define @t5390 () (@list @t5086 @t10)) % 54.38/54.68 (define @t5391 () (tptp.c_COMBC tptp.tc_Nat_Onat @t4743 @t4743)) % 54.38/54.68 (define @t5392 () (tptp.hAPP (tptp.c_COMBB @t4743 @t4743 tptp.tc_Nat_Onat) @t5152)) % 54.38/54.68 (define @t5393 () (@list @t5096 @t125 @t33 @t17)) % 54.38/54.68 (define @t5394 () (tptp.hAPP @t5355 @t5096)) % 54.38/54.68 (define @t5395 () (tptp.hAPP @t5136 @t5379)) % 54.38/54.68 (define @t5396 () (tptp.hAPP (tptp.c_List_Omap @t2170 @t67) @t1)) % 54.38/54.68 (define @t5397 () (tptp.c_List_Ozip @t67 @t1945)) % 54.38/54.68 (define @t5398 () (tptp.hAPP (tptp.c_List_Omap @t2169 @t17) @t2)) % 54.38/54.68 (define @t5399 () (tptp.tc_fun @t2170 @t2169)) % 54.38/54.68 (define @t5400 () (tptp.tc_fun @t2170 @t1945)) % 54.38/54.68 (define @t5401 () (tptp.tc_fun @t2170 @t2172)) % 54.38/54.68 (define @t5402 () (tptp.hAPP @t5314 @t2)) % 54.38/54.68 (define @t5403 () (tptp.hAPP @t5372 (tptp.hAPP @t5402 @t5096))) % 54.38/54.68 (define @t5404 () (tptp.tc_fun @t1945 @t2172)) % 54.38/54.68 (define @t5405 () (tptp.hAPP @t5363 @t5358)) % 54.38/54.68 (define @t5406 () (tptp.hBOOL (tptp.hAPP @t3367 @t5276))) % 54.38/54.68 (define @t5407 () (tptp.c_List_Oset @t2172)) % 54.38/54.68 (define @t5408 () (tptp.hAPP @t5407 @t5374)) % 54.38/54.68 (define @t5409 () (tptp.hBOOL (tptp.hAPP @t3450 @t5408))) % 54.38/54.68 (define @t5410 () (@list @t5093 @t5096 @t176 @t125 @t67 @t17)) % 54.38/54.68 (define @t5411 () (tptp.hBOOL (tptp.hAPP @t4216 @t5306))) % 54.38/54.68 (define @t5412 () (tptp.hBOOL (tptp.hAPP @t245 @t5091))) % 54.38/54.68 (define @t5413 () (tptp.hAPP @t5152 @t5358)) % 54.38/54.68 (define @t5414 () (tptp.c_List_Osublist @t17 @t5413 @t226)) % 54.38/54.68 (define @t5415 () (tptp.hAPP @t4538 @t226)) % 54.38/54.68 (define @t5416 () (tptp.hBOOL @t5415)) % 54.38/54.68 (define @t5417 () (tptp.hAPP (tptp.hAPP @t5200 @t5358) @t5199)) % 54.38/54.68 (define @t5418 () (tptp.hAPP @t5254 @t1173)) % 54.38/54.68 (define @t5419 () (tptp.hAPP @t5418 @t5086)) % 54.38/54.68 (define @t5420 () (tptp.hAPP @t5255 @t5139)) % 54.38/54.68 (define @t5421 () (tptp.c_Product__Type_Ofst @t17 @t2335)) % 54.38/54.68 (define @t5422 () (tptp.c_COMBC @t17 @t4743 @t4743)) % 54.38/54.68 (define @t5423 () (tptp.hAPP @t5422 @t5132)) % 54.38/54.68 (define @t5424 () (tptp.hAPP @t5423 @t5358)) % 54.38/54.68 (define @t5425 () (tptp.hAPP (tptp.hAPP @t5254 @t1092) @t5139)) % 54.38/54.68 (define @t5426 () (tptp.hAPP (tptp.hAPP @t2267 @t5097) @t5375)) % 54.38/54.68 (define @t5427 () (tptp.hAPP @t5334 @t5093)) % 54.38/54.68 (define @t5428 () (tptp.tc_fun tptp.tc_Nat_Onat @t2172)) % 54.38/54.68 (define @t5429 () (@list @t5093 @t5096 @t67 @t17)) % 54.38/54.68 (define @t5430 () (tptp.hAPP @t5269 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5171 @t17) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t17)) @t5096))) % 54.38/54.68 (define @t5431 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5171 tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t17)) @t5096))) % 54.38/54.68 (define @t5432 () (@list @t2232 @t5096 @t17)) % 54.38/54.68 (define @t5433 () (tptp.c_List_Omonoid__add__class_Olistsum @t10)) % 54.38/54.68 (define @t5434 () (tptp.hAPP @t5433 @t5086)) % 54.38/54.68 (define @t5435 () (tptp.c_List_Omonoid__add__class_Olistsum @t17)) % 54.38/54.68 (define @t5436 () (tptp.class_Groups_Omonoid__add @t17)) % 54.38/54.68 (define @t5437 () (tptp.hAPP @t5435 @t5310)) % 54.38/54.68 (define @t5438 () (tptp.hAPP @t5435 @t5290)) % 54.38/54.68 (define @t5439 () (@list @t5096 @t1 @t2 @t67 @t17)) % 54.38/54.68 (define @t5440 () (tptp.hAPP @t5435 @t5096)) % 54.38/54.68 (define @t5441 () (@var "V_As_2" $$unsorted)) % 54.38/54.68 (define @t5442 () (tptp.c_Random_Opick @t17 @t5096)) % 54.38/54.68 (define @t5443 () (@list @t5096 @t17 @t31)) % 54.38/54.68 (define @t5444 () (tptp.tc_List_Olist @t2172)) % 54.38/54.68 (define @t5445 () (tptp.c_List_Olist_OCons @t2172)) % 54.38/54.68 (define @t5446 () (tptp.tc_fun @t5444 @t5444)) % 54.38/54.68 (define @t5447 () (tptp.tc_fun @t4743 @t5444)) % 54.38/54.68 (define @t5448 () (tptp.c_List_Olist_ONil @t2172)) % 54.38/54.68 (define @t5449 () (tptp.hAPP @t5320 @t176)) % 54.38/54.68 (define @t5450 () (tptp.hAPP @t5449 @t5093)) % 54.38/54.68 (define @t5451 () (tptp.tc_fun @t5279 @t5444)) % 54.38/54.68 (define @t5452 () (@list @t5093 @t5096 @t125 @t67 @t17)) % 54.38/54.68 (define @t5453 () (@var "V_ns_2" $$unsorted)) % 54.38/54.68 (define @t5454 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5455 () (tptp.hAPP @t5454 @t5453)) % 54.38/54.68 (define @t5456 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2772 @t5455)) (= @t3 @t56)))) % 54.38/54.68 (define @t5457 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5458 () (@var "V_ns" $$unsorted)) % 54.38/54.68 (define @t5459 () (tptp.hAPP @t5457 @t5458)) % 54.38/54.68 (define @t5460 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5461 () (tptp.hAPP (tptp.hAPP @t5460 @t5458) @t239)) % 54.38/54.68 (define @t5462 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5463 () (tptp.c_Nat_Osize__class_Osize @t5462)) % 54.38/54.68 (define @t5464 () (tptp.hBOOL (tptp.hAPP @t1069 (tptp.hAPP @t5463 @t5458)))) % 54.38/54.68 (define @t5465 () (@list @t5096 @t2 @t17)) % 54.38/54.68 (define @t5466 () (tptp.hAPP @t40 @t36)) % 54.38/54.68 (define @t5467 () (tptp.c_List_Olist_Olist__case @t17 @t67 @t42 @t40)) % 54.38/54.68 (define @t5468 () (@list @t40 @t42 @t67 @t17)) % 54.38/54.68 (define @t5469 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 54.38/54.68 (define @t5470 () (tptp.c_List_Oupto @t31 @t759)) % 54.38/54.68 (define @t5471 () (tptp.hBOOL (tptp.hAPP @t692 @t759))) % 54.38/54.68 (define @t5472 () (tptp.c_List_Oupto @t3331 @t759)) % 54.38/54.68 (define @t5473 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 54.38/54.68 (define @t5474 () (tptp.c_Lazy__Sequence_Oanamorph @t67 @t17 @t2)) % 54.38/54.68 (define @t5475 () (tptp.c_Product__Type_OPair @t4743 @t67)) % 54.38/54.68 (define @t5476 () (tptp.tc_prod @t4743 @t67)) % 54.38/54.68 (define @t5477 () (tptp.tc_fun @t67 @t5476)) % 54.38/54.68 (define @t5478 () (tptp.tc_fun @t4743 @t5477)) % 54.38/54.68 (define @t5479 () (tptp.tc_fun @t5476 @t5476)) % 54.38/54.68 (define @t5480 () (tptp.hAPP (tptp.hAPP @t5475 @t5358) @t125)) % 54.38/54.68 (define @t5481 () (tptp.hAPP (tptp.hAPP @t5474 @t359) @t125)) % 54.38/54.68 (define @t5482 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 54.38/54.68 (define @t5483 () (tptp.hAPP @t5482 @t5470)) % 54.38/54.68 (define @t5484 () (tptp.c_List_Oupto @t240 @t242)) % 54.38/54.68 (define @t5485 () (= @t5484 @t5469)) % 54.38/54.68 (define @t5486 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t17) @t2)) % 54.38/54.68 (define @t5487 () (tptp.c_List_Oupto @t359 @t1045)) % 54.38/54.68 (define @t5488 () (tptp.hAPP @t1081 @t661)) % 54.38/54.68 (define @t5489 () (tptp.hAPP (tptp.hAPP @t829 @t759) @t661)) % 54.38/54.68 (define @t5490 () (tptp.hAPP @t752 @t58)) % 54.38/54.68 (define @t5491 () (tptp.c_List_Oupto @t5490 @t1714)) % 54.38/54.68 (define @t5492 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t5490) @t1714))) % 54.38/54.68 (define @t5493 () (tptp.c_List_Oappend @t17)) % 54.38/54.68 (define @t5494 () (tptp.hAPP @t5152 @t1045)) % 54.38/54.68 (define @t5495 () (@var "B_ys_H" $$unsorted)) % 54.38/54.68 (define @t5496 () (tptp.hAPP (tptp.hAPP @t5493 @t5495) @t5208)) % 54.38/54.68 (define @t5497 () (tptp.hAPP @t5152 @t5495)) % 54.38/54.68 (define @t5498 () (@list @t5495)) % 54.38/54.68 (define @t5499 () (= @t5093 @t5358)) % 54.38/54.68 (define @t5500 () (tptp.hAPP @t5493 @t5093)) % 54.38/54.68 (define @t5501 () (tptp.hAPP @t5500 @t5208)) % 54.38/54.68 (define @t5502 () (tptp.hAPP @t5150 @t5358)) % 54.38/54.68 (define @t5503 () (tptp.hAPP @t5500 @t5502)) % 54.38/54.68 (define @t5504 () (tptp.hAPP @t5493 @t5096)) % 54.38/54.68 (define @t5505 () (tptp.hAPP @t5504 @t5413)) % 54.38/54.68 (define @t5506 () (tptp.c_List_Oappend @t10)) % 54.38/54.68 (define @t5507 () (tptp.hAPP @t5506 @t5086)) % 54.38/54.68 (define @t5508 () (tptp.hAPP @t5507 @t5085)) % 54.38/54.68 (define @t5509 () (@var "V_zs" $$unsorted)) % 54.38/54.68 (define @t5510 () (tptp.hAPP (tptp.hAPP @t5506 @t5085) @t5509)) % 54.38/54.68 (define @t5511 () (@var "V_xs1" $$unsorted)) % 54.38/54.68 (define @t5512 () (tptp.hAPP @t5506 @t5511)) % 54.38/54.68 (define @t5513 () (tptp.c_List_Olist__update @t10 @t5086)) % 54.38/54.68 (define @t5514 () (tptp.hAPP @t5513 @t240)) % 54.38/54.68 (define @t5515 () (tptp.hAPP @t5514 @t27)) % 54.38/54.68 (define @t5516 () (tptp.c_List_Olist__update @t10 @t5139)) % 54.38/54.68 (define @t5517 () (@list @t5085 @t5086 @t28 @t10)) % 54.38/54.68 (define @t5518 () (tptp.hAPP @t5135 @t27)) % 54.38/54.68 (define @t5519 () (tptp.hAPP @t5518 @t5086)) % 54.38/54.68 (define @t5520 () (tptp.hAPP @t5518 @t5085)) % 54.38/54.68 (define @t5521 () (tptp.hAPP @t5507 @t5137)) % 54.38/54.68 (define @t5522 () (tptp.hAPP @t5504 @t5093)) % 54.38/54.68 (define @t5523 () (@list @t5093 @t5096 @t17)) % 54.38/54.68 (define @t5524 () (tptp.hAPP (tptp.c_List_Olist__update @t5384 @t5383) @t240)) % 54.38/54.68 (define @t5525 () (tptp.hAPP (tptp.c_List_Olist__update @t17 @t5085) @t240)) % 54.38/54.68 (define @t5526 () (tptp.hAPP @t5514 @t28)) % 54.38/54.68 (define @t5527 () (@list @t28 @t240 @t5086 @t10)) % 54.38/54.68 (define @t5528 () (tptp.hAPP @t5236 @t242)) % 54.38/54.68 (define @t5529 () (tptp.hAPP @t5235 @t5526)) % 54.38/54.68 (define @t5530 () (tptp.hAPP @t5529 @t242)) % 54.38/54.68 (define @t5531 () (= @t240 @t242)) % 54.38/54.68 (define @t5532 () (=> (not @t5531) (= @t5530 @t5528))) % 54.38/54.68 (define @t5533 () (@list @t240 @t5086 @t10)) % 54.38/54.68 (define @t5534 () (tptp.c_List_Olist__update @t10 @t5508)) % 54.38/54.68 (define @t5535 () (tptp.hAPP @t760 @t5091)) % 54.38/54.68 (define @t5536 () (tptp.hAPP @t5535 @t5090)) % 54.38/54.68 (define @t5537 () (tptp.hAPP @t891 @t5091)) % 54.38/54.68 (define @t5538 () (tptp.hAPP (tptp.hAPP @t5534 @t9) @t28)) % 54.38/54.68 (define @t5539 () (tptp.hBOOL (tptp.hAPP @t66 @t5091))) % 54.38/54.68 (define @t5540 () (not @t5539)) % 54.38/54.68 (define @t5541 () (tptp.hAPP (tptp.hAPP @t5506 @t5379) @t5085)) % 54.38/54.68 (define @t5542 () (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5379) @t240)) % 54.38/54.68 (define @t5543 () (tptp.c_List_Olist__update @t17 @t5096)) % 54.38/54.68 (define @t5544 () (and @t5359 @t5499)) % 54.38/54.68 (define @t5545 () (@list @t5085 @t10)) % 54.38/54.68 (define @t5546 () (@var "V_vs" $$unsorted)) % 54.38/54.68 (define @t5547 () (tptp.hAPP @t5381 @t5085)) % 54.38/54.68 (define @t5548 () (@var "V_us" $$unsorted)) % 54.38/54.68 (define @t5549 () (tptp.c_List_Oappend @t5384)) % 54.38/54.68 (define @t5550 () (tptp.hAPP @t5381 @t5508)) % 54.38/54.68 (define @t5551 () (tptp.c_List_Oappend @t67)) % 54.38/54.68 (define @t5552 () (tptp.hAPP (tptp.hAPP @t5551 @t5096) @t5093)) % 54.38/54.68 (define @t5553 () (@var "V_xy" $$unsorted)) % 54.38/54.68 (define @t5554 () (@var "B_us" $$unsorted)) % 54.38/54.68 (define @t5555 () (tptp.hAPP @t5493 @t5554)) % 54.38/54.68 (define @t5556 () (tptp.hAPP @t5493 @t5208)) % 54.38/54.68 (define @t5557 () (= @t5093 @t5208)) % 54.38/54.68 (define @t5558 () (@list @t5208 @t5093 @t5096 @t17)) % 54.38/54.68 (define @t5559 () (tptp.c_List_Olist__update @t10 @t5526)) % 54.38/54.68 (define @t5560 () (@var "V_x_H" $$unsorted)) % 54.38/54.68 (define @t5561 () (@var "V_i_H" $$unsorted)) % 54.38/54.68 (define @t5562 () (tptp.hAPP @t5157 @t5093)) % 54.38/54.68 (define @t5563 () (tptp.hAPP @t5235 @t5085)) % 54.38/54.68 (define @t5564 () (tptp.hAPP @t5235 @t5508)) % 54.38/54.68 (define @t5565 () (tptp.hAPP @t5506 @t5256)) % 54.38/54.68 (define @t5566 () (@list @t5085 @t5086 @t9 @t10)) % 54.38/54.68 (define @t5567 () (@var "V_vs_2" $$unsorted)) % 54.38/54.68 (define @t5568 () (@var "V_us_2" $$unsorted)) % 54.38/54.68 (define @t5569 () (tptp.hAPP @t5504 @t5568)) % 54.38/54.68 (define @t5570 () (tptp.hAPP @t5543 @t31)) % 54.38/54.68 (define @t5571 () (tptp.hAPP @t5570 @t125)) % 54.38/54.68 (define @t5572 () (tptp.hAPP @t232 (tptp.hAPP @t5269 @t5571))) % 54.38/54.68 (define @t5573 () (tptp.hAPP @t5493 @t125)) % 54.38/54.68 (define @t5574 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP (tptp.hAPP @t5098 (tptp.hAPP @t5573 @t952)) (tptp.hAPP @t5573 @t751))) @t5173))) % 54.38/54.68 (define @t5575 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP (tptp.hAPP @t5098 @t952) @t751)) @t5173))) % 54.38/54.68 (define @t5576 () (tptp.hAPP @t5228 @t31)) % 54.38/54.68 (define @t5577 () (tptp.hBOOL (tptp.hAPP @t765 @t5097))) % 54.38/54.68 (define @t5578 () (tptp.hAPP @t5564 @t9)) % 54.38/54.68 (define @t5579 () (@var "V_l_H_2" $$unsorted)) % 54.38/54.68 (define @t5580 () (tptp.hAPP @t5493 @t5568)) % 54.38/54.68 (define @t5581 () (tptp.hAPP @t5493 @t952)) % 54.38/54.68 (define @t5582 () (tptp.hAPP @t5135 @t5259)) % 54.38/54.68 (define @t5583 () (tptp.hAPP @t5254 @t240)) % 54.38/54.68 (define @t5584 () (tptp.hAPP @t5583 @t5086)) % 54.38/54.68 (define @t5585 () (tptp.hAPP @t5506 @t5584)) % 54.38/54.68 (define @t5586 () (@list @t5086 @t10 @t240)) % 54.38/54.68 (define @t5587 () (@var "B_vs" $$unsorted)) % 54.38/54.68 (define @t5588 () (@list @t5554 @t5587)) % 54.38/54.68 (define @t5589 () (tptp.hAPP (tptp.c_COMBC @t4743 @t4743 @t4743) @t5493)) % 54.38/54.68 (define @t5590 () (tptp.c_COMBB @t4743 @t5159 @t17)) % 54.38/54.68 (define @t5591 () (tptp.c_List_Orotate1 @t17)) % 54.38/54.68 (define @t5592 () (tptp.hAPP @t5591 @t5096)) % 54.38/54.68 (define @t5593 () (tptp.c_List_Odrop @t10)) % 54.38/54.68 (define @t5594 () (tptp.hAPP (tptp.hAPP @t5593 @t241) @t5086)) % 54.38/54.68 (define @t5595 () (tptp.c_List_Odrop @t17)) % 54.38/54.68 (define @t5596 () (tptp.hAPP @t5595 @t33)) % 54.38/54.68 (define @t5597 () (tptp.hAPP @t5596 @t5096)) % 54.38/54.68 (define @t5598 () (tptp.hAPP @t5269 @t5597)) % 54.38/54.68 (define @t5599 () (tptp.hAPP (tptp.c_List_Odrop @t67) @t33)) % 54.38/54.68 (define @t5600 () (tptp.hAPP @t5593 @t9)) % 54.38/54.68 (define @t5601 () (tptp.hAPP @t5600 @t5086)) % 54.38/54.68 (define @t5602 () (tptp.hAPP @t5593 @t58)) % 54.38/54.68 (define @t5603 () (tptp.hAPP @t5602 @t5086)) % 54.38/54.68 (define @t5604 () (tptp.hAPP @t740 @t5091)) % 54.38/54.68 (define @t5605 () (tptp.c_List_Orotate1 @t10)) % 54.38/54.68 (define @t5606 () (tptp.hAPP @t5605 @t5086)) % 54.38/54.68 (define @t5607 () (tptp.hAPP @t5593 @t12)) % 54.38/54.68 (define @t5608 () (tptp.hAPP @t5600 @t5139)) % 54.38/54.68 (define @t5609 () (tptp.hAPP @t769 @t240)) % 54.38/54.68 (define @t5610 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 54.38/54.68 (define @t5611 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 54.38/54.68 (define @t5612 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 54.38/54.68 (define @t5613 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 54.38/54.68 (define @t5614 () (tptp.hAPP @t5081 @t5613)) % 54.38/54.68 (define @t5615 () (tptp.hAPP @t5081 @t5612)) % 54.38/54.68 (define @t5616 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t5615) @t5614))) % 54.38/54.68 (define @t5617 () (tptp.hAPP @t5593 @t240)) % 54.38/54.68 (define @t5618 () (tptp.hAPP @t5617 @t5086)) % 54.38/54.68 (define @t5619 () (tptp.hAPP @t5582 @t5594)) % 54.38/54.68 (define @t5620 () (tptp.hAPP @t5132 @t28)) % 54.38/54.68 (define @t5621 () (tptp.hAPP (tptp.hAPP @t5593 @t1092) @t5139)) % 54.38/54.68 (define @t5622 () (tptp.hBOOL (tptp.hAPP @t5138 @t663))) % 54.38/54.68 (define @t5623 () (@list @t5509 @t5085 @t5086 @t17 @t10)) % 54.38/54.68 (define @t5624 () (tptp.hAPP @t5263 @t5086)) % 54.38/54.68 (define @t5625 () (tptp.c_List_Ohd @t10)) % 54.38/54.68 (define @t5626 () (tptp.hAPP @t5625 @t5601)) % 54.38/54.68 (define @t5627 () (@list @t5086 @t10 @t9)) % 54.38/54.68 (define @t5628 () (= @t5086 @t5379)) % 54.38/54.68 (define @t5629 () (not @t5628)) % 54.38/54.68 (define @t5630 () (@list @t9 @t10 @t5086)) % 54.38/54.68 (define @t5631 () (tptp.c_List_Ohd @t17)) % 54.38/54.68 (define @t5632 () (tptp.hAPP @t5631 @t5096)) % 54.38/54.68 (define @t5633 () (@list @t2 @t67 @t17 @t5096)) % 54.38/54.68 (define @t5634 () (tptp.hAPP @t5625 @t5086)) % 54.38/54.68 (define @t5635 () (tptp.hAPP @t5625 @t5508)) % 54.38/54.68 (define @t5636 () (=> @t5629 (= @t5635 @t5634))) % 54.38/54.68 (define @t5637 () (@list @t5085 @t10 @t5086)) % 54.38/54.68 (define @t5638 () (@list @t10 @t5086)) % 54.38/54.68 (define @t5639 () (tptp.hAPP @t5135 @t5634)) % 54.38/54.68 (define @t5640 () (tptp.c_List_Otl @t10)) % 54.38/54.68 (define @t5641 () (tptp.hAPP @t5640 @t5086)) % 54.38/54.68 (define @t5642 () (tptp.hAPP @t5506 @t5641)) % 54.38/54.68 (define @t5643 () (tptp.c_List_Odistinct @t17)) % 54.38/54.68 (define @t5644 () (tptp.hAPP @t1221 @t5276)) % 54.38/54.68 (define @t5645 () (tptp.hBOOL (tptp.hAPP @t5643 @t5096))) % 54.38/54.68 (define @t5646 () (tptp.c_List_Odistinct @t10)) % 54.38/54.68 (define @t5647 () (tptp.hBOOL (tptp.hAPP @t5646 @t5086))) % 54.38/54.68 (define @t5648 () (tptp.hAPP @t5640 @t5601)) % 54.38/54.68 (define @t5649 () (tptp.hAPP @t5600 @t5641)) % 54.38/54.68 (define @t5650 () (tptp.hAPP @t5255 @t5641)) % 54.38/54.68 (define @t5651 () (tptp.c_List_Otl @t17)) % 54.38/54.68 (define @t5652 () (tptp.c_List_Odistinct @t5384)) % 54.38/54.68 (define @t5653 () (@list @t5085 @t17 @t5086 @t10)) % 54.38/54.68 (define @t5654 () (and @t5327 @t5645)) % 54.38/54.68 (define @t5655 () (= @t5336 @t5097)) % 54.38/54.68 (define @t5656 () (tptp.hAPP @t5228 @t759)) % 54.38/54.68 (define @t5657 () (tptp.hAPP @t60 @t759)) % 54.38/54.68 (define @t5658 () (@list @t759 @t31 @t5096 @t17)) % 54.38/54.68 (define @t5659 () (tptp.hAPP @t5228 @t217)) % 54.38/54.68 (define @t5660 () (tptp.hBOOL (tptp.hAPP @t218 @t5097))) % 54.38/54.68 (define @t5661 () (tptp.c_List_Odistinct @t67)) % 54.38/54.68 (define @t5662 () (tptp.hBOOL (tptp.hAPP @t5643 @t5093))) % 54.38/54.68 (define @t5663 () (tptp.hAPP @t5604 @t663)) % 54.38/54.68 (define @t5664 () (tptp.c_List_Omonoid__add__class_Olistsum @t67)) % 54.38/54.68 (define @t5665 () (tptp.hAPP @t5664 @t5300)) % 54.38/54.68 (define @t5666 () (tptp.c_Nitpick_Osetsum_H @t17 @t67 @t2 @t226)) % 54.38/54.68 (define @t5667 () (tptp.c_Hilbert__Choice_OEps @t4743 (tptp.hAPP (tptp.hAPP @t5117 (tptp.hAPP @t5114 (tptp.hAPP (tptp.hAPP @t5271 (tptp.hAPP (tptp.hAPP @t5270 tptp.c_fequal) @t5269)) @t226))) @t5643))) % 54.38/54.68 (define @t5668 () (tptp.c_Nitpick_Ocard_H @t17 @t226)) % 54.38/54.68 (define @t5669 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t9 @t5091)) % 54.38/54.68 (define @t5670 () (tptp.c_List_Orotate @t10 @t9)) % 54.38/54.68 (define @t5671 () (tptp.hAPP @t5670 @t5086)) % 54.38/54.68 (define @t5672 () (tptp.c_List_Orotate @t17 @t33)) % 54.38/54.68 (define @t5673 () (tptp.hAPP @t5672 @t5096)) % 54.38/54.68 (define @t5674 () (tptp.hAPP @t5318 @t5096)) % 54.38/54.68 (define @t5675 () (@list @t5208 @t176 @t125 @t17)) % 54.38/54.68 (define @t5676 () (tptp.c_List_Ofoldl @t17 @t17 @t836 @t268)) % 54.38/54.68 (define @t5677 () (tptp.c_List_Ofoldl @t17 @t67 @t2 @t36)) % 54.38/54.68 (define @t5678 () (tptp.hAPP @t5677 @t5096)) % 54.38/54.68 (define @t5679 () (tptp.hAPP @t5605 @t5671)) % 54.38/54.68 (define @t5680 () (= @t5671 @t5086)) % 54.38/54.68 (define @t5681 () (tptp.c_List_Ofoldl @t67 @t17 (tptp.hAPP @t3494 @t2) @t176)) % 54.38/54.68 (define @t5682 () (tptp.hAPP (tptp.hAPP @t4972 @t176) @t5276)) % 54.38/54.68 (define @t5683 () (@list @t5096 @t176 @t2 @t67 @t17)) % 54.38/54.68 (define @t5684 () (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t17 @t2286 @t125) @t5096)) % 54.38/54.68 (define @t5685 () (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t17 @t2357 @t125) @t5096)) % 54.38/54.68 (define @t5686 () (@list @t2 @t5096 @t67 @t17)) % 54.38/54.68 (define @t5687 () (tptp.hAPP @t5132 @t2109)) % 54.38/54.68 (define @t5688 () (tptp.c_List_Olast @t10 @t5086)) % 54.38/54.68 (define @t5689 () (tptp.hAPP @t5513 @t239)) % 54.38/54.68 (define @t5690 () (tptp.hAPP @t5689 @t28)) % 54.38/54.68 (define @t5691 () (tptp.c_List_Olast @t10 @t5690)) % 54.38/54.68 (define @t5692 () (= @t239 @t5663)) % 54.38/54.68 (define @t5693 () (not @t5692)) % 54.38/54.68 (define @t5694 () (tptp.class_Groups_Omonoid__add @t67)) % 54.38/54.68 (define @t5695 () (tptp.c_List_Olast @t17 @t5096)) % 54.38/54.68 (define @t5696 () (tptp.c_List_Olast @t10 @t5139)) % 54.38/54.68 (define @t5697 () (=> @t5629 (= @t5696 @t5688))) % 54.38/54.68 (define @t5698 () (=> @t5628 (= @t5696 @t28))) % 54.38/54.68 (define @t5699 () (tptp.c_List_Olast @t10 @t5508)) % 54.38/54.68 (define @t5700 () (= @t5085 @t5379)) % 54.38/54.68 (define @t5701 () (=> @t5700 (= @t5699 @t5688))) % 54.38/54.68 (define @t5702 () (@list @t5086 @t10 @t5085)) % 54.38/54.68 (define @t5703 () (not @t5700)) % 54.38/54.68 (define @t5704 () (=> @t5703 (= @t5699 (tptp.c_List_Olast @t10 @t5085)))) % 54.38/54.68 (define @t5705 () (@var "V_as_2" $$unsorted)) % 54.38/54.68 (define @t5706 () (tptp.hAPP @t5507 @t5395)) % 54.38/54.68 (define @t5707 () (@list @t28 @t5086 @t10)) % 54.38/54.68 (define @t5708 () (@var "B_l" $$unsorted)) % 54.38/54.68 (define @t5709 () (= @t36 @t5358)) % 54.38/54.68 (define @t5710 () (tptp.hAPP @t5254 @t239)) % 54.38/54.68 (define @t5711 () (tptp.hAPP @t5236 @t1264)) % 54.38/54.68 (define @t5712 () (tptp.c_List_Obutlast @t10 @t5086)) % 54.38/54.68 (define @t5713 () (tptp.c_List_Obutlast @t10 @t5601)) % 54.38/54.68 (define @t5714 () (tptp.hAPP @t5600 @t5712)) % 54.38/54.68 (define @t5715 () (tptp.c_List_Obutlast @t17 @t5096)) % 54.38/54.68 (define @t5716 () (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP @t5269 @t5715)))) % 54.38/54.68 (define @t5717 () (tptp.c_List_Obutlast @t10 @t5139)) % 54.38/54.68 (define @t5718 () (tptp.c_List_Obutlast @t10 @t5508)) % 54.38/54.68 (define @t5719 () (tptp.c_List_Obutlast @t17 @t5093)) % 54.38/54.68 (define @t5720 () (@list @t5093 @t5096 @t125 @t17)) % 54.38/54.68 (define @t5721 () (tptp.c_List_Obutlast @t10 @t5690)) % 54.38/54.68 (define @t5722 () (tptp.c_List_Oremove1 @t17 @t125 @t5096)) % 54.38/54.68 (define @t5723 () (tptp.hAPP @t5644 @t3255)) % 54.38/54.68 (define @t5724 () (tptp.hAPP @t5269 @t5722)) % 54.38/54.68 (define @t5725 () (tptp.c_List_Oremove1 @t10 @t28 @t5086)) % 54.38/54.68 (define @t5726 () (tptp.c_List_Oremove1 @t10 @t28 @t5519)) % 54.38/54.68 (define @t5727 () (@list @t5086 @t10 @t27 @t28)) % 54.38/54.68 (define @t5728 () (@list @t5509 @t27 @t28 @t10)) % 54.38/54.68 (define @t5729 () (@list @t176 @t5096 @t125 @t17)) % 54.38/54.68 (define @t5730 () (tptp.c_List_Oremove1 @t17 @t125 @t5522)) % 54.38/54.68 (define @t5731 () (tptp.hAPP @t5081 @t5722)) % 54.38/54.68 (define @t5732 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t17 @t226)) % 54.38/54.68 (define @t5733 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t17 @t3256)) % 54.38/54.68 (define @t5734 () (@var "V_no_2" $$unsorted)) % 54.38/54.68 (define @t5735 () (tptp.hAPP @t5269 @t5734)) % 54.38/54.68 (define @t5736 () (@var "V_yes_2" $$unsorted)) % 54.38/54.68 (define @t5737 () (tptp.hAPP @t5269 @t5736)) % 54.38/54.68 (define @t5738 () (tptp.c_List_Opartition @t17 @t111 @t5096)) % 54.38/54.68 (define @t5739 () (= @t5738 (tptp.hAPP (tptp.hAPP @t5098 @t5736) @t5734))) % 54.38/54.68 (define @t5740 () (@list @t5734 @t5736 @t5096 @t111 @t17)) % 54.38/54.68 (define @t5741 () (tptp.tc_fun @t4751 @t4751)) % 54.38/54.68 (define @t5742 () (tptp.tc_fun @t4743 @t5741)) % 54.38/54.68 (define @t5743 () (@list @t5096 @t125 @t111 @t17)) % 54.38/54.68 (define @t5744 () (tptp.c_List_Olinorder__class_Oinsort__key @t17 @t17 @t1961)) % 54.38/54.68 (define @t5745 () (tptp.hAPP @t5744 @t125)) % 54.38/54.68 (define @t5746 () (tptp.c_List_Olistsp @t17 (tptp.hAPP (tptp.hAPP @t4006 @t3915) @t4129))) % 54.38/54.68 (define @t5747 () (tptp.hAPP @t5157 @t1045)) % 54.38/54.68 (define @t5748 () (tptp.c_List_Olistsp @t17 @t226)) % 54.38/54.68 (define @t5749 () (tptp.hBOOL (tptp.hAPP @t5748 @t5096))) % 54.38/54.68 (define @t5750 () (tptp.c_List_Olinorder__class_Oinsort__key @t17 @t67 @t2)) % 54.38/54.68 (define @t5751 () (tptp.hAPP @t5750 @t125)) % 54.38/54.68 (define @t5752 () (tptp.c_List_Olinorder__class_Oinsort__key @t67 @t17 @t2)) % 54.38/54.68 (define @t5753 () (tptp.hAPP @t5752 @t125)) % 54.38/54.68 (define @t5754 () (tptp.hAPP @t5753 @t5450)) % 54.38/54.68 (define @t5755 () (tptp.hAPP tptp.c_Nat_OSuc @t5097)) % 54.38/54.68 (define @t5756 () (tptp.hAPP @t5751 @t5096)) % 54.38/54.68 (define @t5757 () (tptp.hAPP @t5750 @t36)) % 54.38/54.68 (define @t5758 () (tptp.hAPP @t5757 @t5096)) % 54.38/54.68 (define @t5759 () (tptp.c_List_Olistsp @t17 @t230)) % 54.38/54.68 (define @t5760 () (tptp.hAPP @t5745 @t5096)) % 54.38/54.68 (define @t5761 () (tptp.hAPP @t5744 @t176)) % 54.38/54.68 (define @t5762 () (tptp.hAPP @t5752 @t176)) % 54.38/54.68 (define @t5763 () (tptp.hAPP @t5753 @t5096)) % 54.38/54.68 (define @t5764 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t5105)) % 54.38/54.68 (define @t5765 () (tptp.c_List_Olistsp @t17 @t4008)) % 54.38/54.68 (define @t5766 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t67 @t17 @t2 @t125 @t5096)) % 54.38/54.68 (define @t5767 () (tptp.hBOOL (tptp.hAPP @t4296 @t5296))) % 54.38/54.68 (define @t5768 () (@list @t5096 @t67 @t125 @t2 @t17)) % 54.38/54.68 (define @t5769 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t17 @t17 @t1961 @t125 @t5096)) % 54.38/54.68 (define @t5770 () (tptp.c_Enum_Oproduct @t17 @t67 @t5096 @t5093)) % 54.38/54.68 (define @t5771 () (tptp.hBOOL (tptp.hAPP @t2460 @t3))) % 54.38/54.68 (define @t5772 () (tptp.hAPP @t3410 @t3)) % 54.38/54.68 (define @t5773 () (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5096 @t5093)) % 54.38/54.68 (define @t5774 () (@list @t5093 @t5096 @t111 @t67 @t17)) % 54.38/54.68 (define @t5775 () (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t36 @t346)) % 54.38/54.68 (define @t5776 () (@var "V_bs_2" $$unsorted)) % 54.38/54.68 (define @t5777 () (@var "V_uu" $$unsorted)) % 54.38/54.68 (define @t5778 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP @t5228 @t1882)) (tptp.hAPP @t5427 @t1882)))) % 54.38/54.68 (define @t5779 () (tptp.hAPP @t60 @t1882)) % 54.38/54.68 (define @t5780 () (@list @t1882 @t5093 @t5096 @t111 @t67 @t17)) % 54.38/54.68 (define @t5781 () (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5571 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t67 @t5093) @t31) @t176))) % 54.38/54.68 (define @t5782 () (tptp.c_Enum_Osublists @t17 @t5096)) % 54.38/54.68 (define @t5783 () (tptp.c_List_Oset @t4743)) % 54.38/54.68 (define @t5784 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5088))) % 54.38/54.68 (define @t5785 () (tptp.c_List_Olist_ONil @t5088)) % 54.38/54.68 (define @t5786 () (tptp.c_List_Olist_OCons @t5088)) % 54.38/54.68 (define @t5787 () (tptp.hAPP @t5786 @t5379)) % 54.38/54.68 (define @t5788 () (tptp.hAPP @t5787 @t5785)) % 54.38/54.68 (define @t5789 () (tptp.tc_List_Olist @t4743)) % 54.38/54.68 (define @t5790 () (tptp.c_List_Omap @t4743 @t4743)) % 54.38/54.68 (define @t5791 () (tptp.c_Enum_On__lists @t17 @t33 @t5096)) % 54.38/54.68 (define @t5792 () (tptp.hAPP @t5783 @t5791)) % 54.38/54.68 (define @t5793 () (tptp.c_HOL_OThe @t17 @t111)) % 54.38/54.68 (define @t5794 () (tptp.c_Enum_On__lists @t10 @t9 @t5086)) % 54.38/54.68 (define @t5795 () (tptp.c_Enum_On__lists @t10 @t9 @t5379)) % 54.38/54.68 (define @t5796 () (tptp.hAPP @t5081 @t36)) % 54.38/54.68 (define @t5797 () (= @t5796 (tptp.hAPP @t5329 @t346))) % 54.38/54.68 (define @t5798 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2172)) % 54.38/54.68 (define @t5799 () (tptp.tc_fun @t67 @t5798)) % 54.38/54.68 (define @t5800 () (@var "V_s2_2" $$unsorted)) % 54.38/54.68 (define @t5801 () (@var "V_s1_2" $$unsorted)) % 54.38/54.68 (define @t5802 () (tptp.c_List_Oremdups @t17 @t5096)) % 54.38/54.68 (define @t5803 () (tptp.c_List_Oremdups @t10 @t5086)) % 54.38/54.68 (define @t5804 () (= @t5802 @t5096)) % 54.38/54.68 (define @t5805 () (tptp.hAPP @t5081 @t5802)) % 54.38/54.68 (define @t5806 () (= @t125 @t5358)) % 54.38/54.68 (define @t5807 () (tptp.c_List_Oremdups @t17 @t125)) % 54.38/54.68 (define @t5808 () (tptp.c_List_Oremdups @t17 @t5153)) % 54.38/54.68 (define @t5809 () (@var "V_xss_2" $$unsorted)) % 54.38/54.68 (define @t5810 () (tptp.hAPP @t5783 @t5809)) % 54.38/54.68 (define @t5811 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4743 @t231)) % 54.38/54.68 (define @t5812 () (tptp.c_List_Oconcat @t17 @t5809)) % 54.38/54.68 (define @t5813 () (@list @t5809 @t17)) % 54.38/54.68 (define @t5814 () (= @t3 @t5358)) % 54.38/54.68 (define @t5815 () (tptp.hAPP @t5157 @t3)) % 54.38/54.68 (define @t5816 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5815 @t5810)) @t5814))) % 54.38/54.68 (define @t5817 () (tptp.c_List_Oconcat @t10 @t5086)) % 54.38/54.68 (define @t5818 () (tptp.hAPP (tptp.c_List_Omap @t5279 @t4743) @t5289)) % 54.38/54.68 (define @t5819 () (tptp.hAPP @t5818 @t5096)) % 54.38/54.68 (define @t5820 () (tptp.c_List_Olinorder__class_Osort__key @t17 @t67 @t2 @t5096)) % 54.38/54.68 (define @t5821 () (tptp.hAPP (tptp.c_List_Omap @t4743 tptp.tc_Nat_Onat) @t5081)) % 54.38/54.68 (define @t5822 () (tptp.hAPP @t5783 @t5096)) % 54.38/54.68 (define @t5823 () (tptp.c_List_Oconcat @t17 @t5096)) % 54.38/54.68 (define @t5824 () (tptp.c_List_Olinorder__class_Osort__key @t17 @t17 @t1961 @t5096)) % 54.38/54.68 (define @t5825 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 @t3) (tptp.hAPP (tptp.c_List_Oset @t4751) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4743 @t4743) @t5096) @t5093)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5121 @t5112) @t3))))) % 54.38/54.68 (define @t5826 () (tptp.c_Nat_Osize__class_Osize @t5789)) % 54.38/54.68 (define @t5827 () (tptp.hAPP @t5826 @t5096)) % 54.38/54.68 (define @t5828 () (= @t5827 (tptp.hAPP @t5826 @t5093))) % 54.38/54.68 (define @t5829 () (= @t5823 (tptp.c_List_Oconcat @t17 @t5093))) % 54.38/54.68 (define @t5830 () (tptp.c_List_Omap @t67 @t4743)) % 54.38/54.68 (define @t5831 () (tptp.tc_fun @t4743 @t5789)) % 54.38/54.68 (define @t5832 () (tptp.c_List_Omap @t4743 @t5789)) % 54.38/54.68 (define @t5833 () (tptp.c_List_Olist_ONil @t4743)) % 54.38/54.68 (define @t5834 () (tptp.c_List_Olist_OCons @t4743)) % 54.38/54.68 (define @t5835 () (tptp.c_List_Oconcat @t4743 (tptp.hAPP (tptp.hAPP @t5832 (tptp.c_List_Olist_Olist__case @t5789 @t17 @t5833 (tptp.hAPP (tptp.c_COMBK @t5831 @t17) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4743 @t5789 @t5789) @t5834) @t5833)))) @t5809))) % 54.38/54.68 (define @t5836 () (tptp.c_List_Oconcat @t17 (tptp.hAPP (tptp.hAPP @t5790 (tptp.c_List_Olist_Olist__case @t4743 @t17 @t5358 (tptp.hAPP (tptp.hAPP @t5590 (tptp.c_COMBK @t4743 @t4743)) @t5424))) @t5809))) % 54.38/54.68 (define @t5837 () (tptp.hAPP (tptp.hAPP @t5834 @t5153) @t5809)) % 54.38/54.68 (define @t5838 () (= (tptp.c_List_Otranspose @t17 @t5837) (tptp.hAPP (tptp.hAPP @t5834 (tptp.hAPP @t5152 @t5836)) (tptp.c_List_Otranspose @t17 (tptp.hAPP (tptp.hAPP @t5834 @t5096) @t5835))))) % 54.38/54.68 (define @t5839 () (@list @t5809 @t5096 @t125 @t17)) % 54.38/54.68 (define @t5840 () (tptp.hAPP (tptp.hAPP @t5131 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4743 @t4743 tptp.tc_HOL_Obool) tptp.c_fequal) @t5358))) % 54.38/54.68 (define @t5841 () (tptp.c_List_Ofilter @t4743 @t5840)) % 54.38/54.68 (define @t5842 () (tptp.hAPP @t5841 @t5809)) % 54.38/54.68 (define @t5843 () (tptp.c_List_Omap @t4743 @t17)) % 54.38/54.68 (define @t5844 () (tptp.c_List_Ofilter @t17 @t1882)) % 54.38/54.68 (define @t5845 () (@list @t5096 @t1882 @t17)) % 54.38/54.68 (define @t5846 () (tptp.c_List_Ofilter @t17 @t111)) % 54.38/54.68 (define @t5847 () (tptp.hAPP @t5846 @t5096)) % 54.38/54.68 (define @t5848 () (@list @t5096 @t111 @t17)) % 54.38/54.68 (define @t5849 () (tptp.hAPP @t5269 @t5847)) % 54.38/54.68 (define @t5850 () (tptp.hAPP @t5081 @t5847)) % 54.38/54.68 (define @t5851 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t17 tptp.c_fNot)) % 54.38/54.68 (define @t5852 () (tptp.c_List_Ofilter @t17 @t2260)) % 54.38/54.68 (define @t5853 () (tptp.hAPP @t5852 @t5096)) % 54.38/54.68 (define @t5854 () (not @t2433)) % 54.38/54.68 (define @t5855 () (@list @t5096 @t17 @t125 @t111)) % 54.38/54.68 (define @t5856 () (tptp.hAPP (tptp.c_Fun_Ocomp @t17 tptp.tc_HOL_Obool @t67 @t111) @t2)) % 54.38/54.68 (define @t5857 () (tptp.hAPP (tptp.c_List_Ofilter @t67 @t5856) @t5096)) % 54.38/54.68 (define @t5858 () (tptp.hAPP @t5846 @t5290)) % 54.38/54.68 (define @t5859 () (@list @t5096 @t2 @t67 @t111 @t17)) % 54.38/54.68 (define @t5860 () (tptp.hAPP @t5846 @t5153)) % 54.38/54.68 (define @t5861 () (tptp.hAPP @t5846 @t5093)) % 54.38/54.68 (define @t5862 () (@list @t5093 @t5096 @t111 @t17)) % 54.38/54.68 (define @t5863 () (@var "V_xss" $$unsorted)) % 54.38/54.68 (define @t5864 () (tptp.c_List_Ofilter @t4743 (tptp.hAPP (tptp.hAPP @t5108 @t765) @t5081))) % 54.38/54.68 (define @t5865 () (tptp.hAPP @t5864 @t5096)) % 54.38/54.68 (define @t5866 () (tptp.hAPP @t5843 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4743 tptp.tc_Nat_Onat @t17) @t5226) @t31))) % 54.38/54.68 (define @t5867 () (tptp.c_List_Otranspose @t17 @t5096)) % 54.38/54.68 (define @t5868 () (tptp.c_List_Onth @t4743)) % 54.38/54.68 (define @t5869 () (tptp.hAPP (tptp.hAPP @t5868 @t5867) @t31)) % 54.38/54.68 (define @t5870 () (tptp.hAPP @t5826 @t5867)) % 54.38/54.68 (define @t5871 () (tptp.hBOOL (tptp.hAPP @t765 @t5870))) % 54.38/54.68 (define @t5872 () (@list @t176 @t5096 @t17)) % 54.38/54.68 (define @t5873 () (tptp.c_List_Osublist @t17 @t5096 @t2232)) % 54.38/54.68 (define @t5874 () (tptp.c_Wellfounded_Oaccp @t5789 (tptp.c_List_Otranspose__rel @t17))) % 54.38/54.68 (define @t5875 () (tptp.hAPP (tptp.hAPP @t5834 @t5358) @t5809)) % 54.38/54.68 (define @t5876 () (@var "V_is_2" $$unsorted)) % 54.38/54.68 (define @t5877 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 54.38/54.68 (define @t5878 () (tptp.hAPP (tptp.c_List_Ozip @t17 tptp.tc_Nat_Onat) @t5096)) % 54.38/54.68 (define @t5879 () (tptp.c_Product__Type_Osnd @t17 tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5880 () (tptp.tc_prod @t17 tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5881 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t5880) @t111)) % 54.38/54.68 (define @t5882 () (tptp.hAPP (tptp.c_List_Omap @t5880 @t17) (tptp.c_Product__Type_Ofst @t17 tptp.tc_Nat_Onat))) % 54.38/54.68 (define @t5883 () (tptp.hAPP (tptp.c_List_Ofilter @t5171 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral @t17 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t231 tptp.tc_Code__Numeral_Ocode__numeral) @t4558) @t2336))) @t5096)) % 54.38/54.68 (define @t5884 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1919 @t4743) @t2337) @t5081)) % 54.38/54.68 (define @t5885 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1919 @t5279)) % 54.38/54.68 (define @t5886 () (tptp.hAPP @t5885 @t2337)) % 54.38/54.68 (define @t5887 () (tptp.c_List_Ofoldr @t67 @t17 @t2 @t5096 @t36)) % 54.38/54.68 (define @t5888 () (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t17 @t836 @t36) @t5096)) % 54.38/54.68 (define @t5889 () (tptp.c_List_Ofoldr @t17 @t17 @t836 @t5096 @t268)) % 54.38/54.68 (define @t5890 () (@list @t5096 @t36 @t17)) % 54.38/54.68 (define @t5891 () (tptp.c_List_Oupt @t56 @t5097)) % 54.38/54.68 (define @t5892 () (tptp.hAPP @t5878 @t5891)) % 54.38/54.68 (define @t5893 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4534 @t5880) @t2771)) % 54.38/54.68 (define @t5894 () (tptp.c_COMBC @t5880 @t1986 tptp.tc_HOL_Obool)) % 54.38/54.68 (define @t5895 () (tptp.c_List_Ofilter @t5880 (tptp.hAPP (tptp.hAPP @t5894 (tptp.hAPP @t5893 @t5879)) @t226))) % 54.38/54.68 (define @t5896 () (tptp.c_List_Oupt @t240 @t242)) % 54.38/54.68 (define @t5897 () (tptp.c_List_Oupt @t31 @t759)) % 54.38/54.68 (define @t5898 () (tptp.hAPP @t5454 @t5897)) % 54.38/54.68 (define @t5899 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5900 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5901 () (tptp.c_List_Oappend tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5902 () (tptp.hAPP @t5901 @t5896)) % 54.38/54.68 (define @t5903 () (tptp.c_List_Oupt @t240 @t949)) % 54.38/54.68 (define @t5904 () (=> @t303 (= @t5903 (tptp.hAPP @t5902 (tptp.hAPP (tptp.hAPP @t5900 @t242) @t5899))))) % 54.38/54.68 (define @t5905 () (= @t5896 @t5899)) % 54.38/54.68 (define @t5906 () (=> @t246 (= @t5896 (tptp.hAPP (tptp.hAPP @t5900 @t240) (tptp.c_List_Oupt @t241 @t242))))) % 54.38/54.68 (define @t5907 () (tptp.c_List_Oupt @t86 @t33)) % 54.38/54.68 (define @t5908 () (tptp.hAPP @t1091 @t9)) % 54.38/54.68 (define @t5909 () (tptp.hAPP @t1091 @t58)) % 54.38/54.68 (define @t5910 () (tptp.c_List_Oupt @t5909 @t5908)) % 54.38/54.68 (define @t5911 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t5909) @t5908))) % 54.38/54.68 (define @t5912 () (tptp.c_List_Oupt @t56 @t33)) % 54.38/54.68 (define @t5913 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t17)) % 54.38/54.68 (define @t5914 () (tptp.hAPP (tptp.hAPP @t5913 @t2) @t5907)) % 54.38/54.68 (define @t5915 () (tptp.hAPP @t5435 @t5914)) % 54.38/54.68 (define @t5916 () (tptp.hAPP @t2681 (tptp.hAPP @t5454 @t5907))) % 54.38/54.68 (define @t5917 () (tptp.hAPP @t5868 @t5096)) % 54.38/54.68 (define @t5918 () (= @t5096 @t5833)) % 54.38/54.68 (define @t5919 () (tptp.c_List_Oremove1 @t17 @t36 @t5096)) % 54.38/54.68 (define @t5920 () (tptp.c_List_Olinorder__class_Osorted @t67 @t5300)) % 54.38/54.68 (define @t5921 () (tptp.c_List_Olinorder__class_Osorted @t17 @t5096)) % 54.38/54.68 (define @t5922 () (tptp.c_List_Olinorder__class_Osorted @t10 @t5086)) % 54.38/54.68 (define @t5923 () (tptp.hAPP @t5518 @t5509)) % 54.38/54.68 (define @t5924 () (tptp.hAPP @t5150 @t5208)) % 54.38/54.68 (define @t5925 () (=> (= @t5276 @t5302) @t5198)) % 54.38/54.68 (define @t5926 () (tptp.c_List_Olinorder__class_Osorted @t17 @t5093)) % 54.38/54.68 (define @t5927 () (tptp.c_List_Olinorder__class_Osorted @t17 @t5290)) % 54.38/54.68 (define @t5928 () (@list @t5096 @t125 @t2 @t67 @t17)) % 54.38/54.68 (define @t5929 () (@list @t125 @t5096 @t2 @t67 @t17)) % 54.38/54.68 (define @t5930 () (tptp.c_List_Ofilter @t67 @t111)) % 54.38/54.68 (define @t5931 () (tptp.hAPP @t5930 @t5096)) % 54.38/54.68 (define @t5932 () (tptp.hAPP @t1 @t5096)) % 54.38/54.68 (define @t5933 () (forall @t7 (=> @t5341 @t4472))) % 54.38/54.68 (define @t5934 () (tptp.c_List_Olinorder__class_Osorted @t17 @t5153)) % 54.38/54.68 (define @t5935 () (tptp.hBOOL (tptp.hAPP @t1267 @t217))) % 54.38/54.68 (define @t5936 () (tptp.hBOOL (tptp.hAPP @t243 @t5091))) % 54.38/54.68 (define @t5937 () (@list @t242 @t240 @t5086 @t10)) % 54.38/54.68 (define @t5938 () (tptp.hAPP @t5917 @t31)) % 54.38/54.68 (define @t5939 () (tptp.hAPP @t5864 @t5867)) % 54.38/54.68 (define @t5940 () (tptp.hBOOL (tptp.hAPP @t765 @t5827))) % 54.38/54.68 (define @t5941 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5942 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5941 (tptp.hAPP @t5821 @t5096)))) % 54.38/54.68 (define @t5943 () (@list @t31 @t5096 @t17)) % 54.38/54.68 (define @t5944 () (tptp.c_List_Orev @t17)) % 54.38/54.68 (define @t5945 () (tptp.hAPP @t5944 @t5096)) % 54.38/54.68 (define @t5946 () (tptp.c_List_Orev @t10)) % 54.38/54.68 (define @t5947 () (= @t5096 @t5413)) % 54.38/54.68 (define @t5948 () (tptp.hAPP @t5946 @t5086)) % 54.38/54.68 (define @t5949 () (tptp.c_List_Orev @t67)) % 54.38/54.68 (define @t5950 () (tptp.hAPP @t5949 @t5096)) % 54.38/54.68 (define @t5951 () (tptp.hAPP @t5944 @t5290)) % 54.38/54.68 (define @t5952 () (tptp.hAPP @t5949 @t5093)) % 54.38/54.68 (define @t5953 () (tptp.hAPP @t5944 @t5093)) % 54.38/54.68 (define @t5954 () (tptp.hAPP @t5604 @t240)) % 54.38/54.68 (define @t5955 () (@list @t5086 @t240 @t10)) % 54.38/54.68 (define @t5956 () (tptp.c_List_Ofoldr @t17 @t17 @t2357 @t5096 @t176)) % 54.38/54.68 (define @t5957 () (tptp.c_List_OtakeWhile @t17 @t111 @t5096)) % 54.38/54.68 (define @t5958 () (tptp.hAPP @t5081 @t5957)) % 54.38/54.68 (define @t5959 () (tptp.c_List_OtakeWhile @t17 @t111 @t5153)) % 54.38/54.68 (define @t5960 () (tptp.c_List_OtakeWhile @t17 @t111 @t5522)) % 54.38/54.68 (define @t5961 () (@list @t5093 @t111 @t5096 @t125 @t17)) % 54.38/54.68 (define @t5962 () (@list @t5096 @t111 @t17 @t759)) % 54.38/54.68 (define @t5963 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 tptp.tc_HOL_Obool @t67) (tptp.hAPP @t185 @t2231)) @t2)) % 54.38/54.68 (define @t5964 () (tptp.hAPP @t4560 @t4841)) % 54.38/54.68 (define @t5965 () (tptp.c_List_OdropWhile @t17 @t111 @t5096)) % 54.38/54.68 (define @t5966 () (tptp.hAPP @t5493 @t5957)) % 54.38/54.68 (define @t5967 () (tptp.hAPP @t5081 @t5965)) % 54.38/54.68 (define @t5968 () (= @t5965 @t5358)) % 54.38/54.68 (define @t5969 () (tptp.c_List_OdropWhile @t17 @t111 @t5153)) % 54.38/54.68 (define @t5970 () (tptp.c_List_OdropWhile @t17 @t111 @t5522)) % 54.38/54.68 (define @t5971 () (tptp.hBOOL (tptp.hAPP @t111 @t5333))) % 54.38/54.68 (define @t5972 () (@list @t111 @t5096 @t17 @t33)) % 54.38/54.68 (define @t5973 () (tptp.c_List_OremoveAll @t17 @t125)) % 54.38/54.68 (define @t5974 () (tptp.hAPP @t5973 @t5096)) % 54.38/54.68 (define @t5975 () (= (tptp.hAPP @t5278 @t5974) (tptp.hAPP (tptp.c_List_OremoveAll @t67 @t127) @t5300))) % 54.38/54.68 (define @t5976 () (tptp.c_List_OremoveAll @t10 @t28)) % 54.38/54.68 (define @t5977 () (tptp.hAPP @t5976 @t5086)) % 54.38/54.68 (define @t5978 () (tptp.hAPP @t5976 @t5519)) % 54.38/54.68 (define @t5979 () (tptp.c_List_Oinsert @t17 @t125 @t5096)) % 54.38/54.68 (define @t5980 () (=> @t5327 (= @t5979 @t5153))) % 54.38/54.68 (define @t5981 () (=> @t5284 (= @t5979 @t5096))) % 54.38/54.68 (define @t5982 () (tptp.c_List_Oinsert @t10 @t28 @t5086)) % 54.38/54.68 (define @t5983 () (tptp.c_List_Oconcat @t17 (tptp.hAPP (tptp.hAPP @t5830 @t2) @t5096))) % 54.38/54.68 (define @t5984 () (tptp.c_List_Omaps @t67 @t17 @t2 @t5096)) % 54.38/54.68 (define @t5985 () (@var "B_zs" $$unsorted)) % 54.38/54.68 (define @t5986 () (tptp.hAPP @t5269 @t5985)) % 54.38/54.68 (define @t5987 () (tptp.hAPP @t5269 @t5218)) % 54.38/54.68 (define @t5988 () (@list @t5985)) % 54.38/54.68 (define @t5989 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5157 @t5218) @t5822))) % 54.38/54.68 (define @t5990 () (@list @t5218)) % 54.38/54.68 (define @t5991 () (@var "V_fs_2" $$unsorted)) % 54.38/54.68 (define @t5992 () (tptp.tc_fun @t17 tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t5993 () (tptp.hBOOL (tptp.hAPP @t3558 (tptp.c_List_Omeasures @t17 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5992) @t2) @t5991))))) % 54.38/54.68 (define @t5994 () (tptp.c_List_Omeasures @t17 @t5991)) % 54.38/54.68 (define @t5995 () (tptp.hBOOL (tptp.hAPP @t3558 @t5994))) % 54.38/54.68 (define @t5996 () (@list @t5991 @t17 @t176 @t125 @t2)) % 54.38/54.68 (define @t5997 () (@list @t5991 @t17)) % 54.38/54.68 (define @t5998 () (tptp.tc_List_Olist @t5992)) % 54.38/54.68 (define @t5999 () (tptp.c_COMBS @t17 @t67 tptp.tc_HOL_Obool)) % 54.38/54.68 (define @t6000 () (tptp.c_Enum_Oenum__class_Oenum__ex @t17)) % 54.38/54.68 (define @t6001 () (tptp.class_Enum_Oenum @t17)) % 54.38/54.68 (define @t6002 () (and @t70 @t6001)) % 54.38/54.68 (define @t6003 () (tptp.hBOOL (tptp.hAPP @t6000 @t111))) % 54.38/54.68 (define @t6004 () (and (tptp.class_Enum_Oenum @t67) @t6001)) % 54.38/54.68 (define @t6005 () (tptp.hAPP (tptp.hAPP @t5286 @t5426) @t5093)) % 54.38/54.68 (define @t6006 () (tptp.hAPP (tptp.hAPP @t5252 @t5426) @t5096)) % 54.38/54.68 (define @t6007 () (tptp.c_Lazy__Sequence_Osingle @t4743)) % 54.38/54.68 (define @t6008 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t4743)) % 54.38/54.68 (define @t6009 () (tptp.hAPP (tptp.hAPP @t829 @t863) @t661)) % 54.38/54.68 (define @t6010 () (tptp.class_Lazy__Sequence_Osmall__lazy @t17)) % 54.38/54.68 (define @t6011 () (@var "V_yq_2" $$unsorted)) % 54.38/54.68 (define @t6012 () (@list @t5093 @t111 @t5096 @t17)) % 54.38/54.68 (define @t6013 () (tptp.c_Lazy__Sequence_Osingle tptp.tc_Int_Oint)) % 54.38/54.68 (define @t6014 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t407 @t240)) % 54.38/54.68 (define @t6015 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t407) @t240))) % 54.38/54.68 (define @t6016 () (tptp.c_Lazy__Sequence_Oempty tptp.tc_Int_Oint)) % 54.38/54.68 (define @t6017 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t863 @t31)) % 54.38/54.68 (define @t6018 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t863) @t31))) % 54.38/54.68 (define @t6019 () (tptp.c_Wellfounded_Oaccp @t1978 tptp.c_Lazy__Sequence_Osmall__lazy_H__rel)) % 54.38/54.68 (define @t6020 () (exists @t5588 (and (= @t5093 (tptp.hAPP @t5555 (tptp.hAPP @t5152 @t5587))) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2421 (tptp.hAPP @t5269 @t5554))) @t4556)) @t2433 (= @t5096 (tptp.hAPP @t5846 @t5587))))) % 54.38/54.68 (define @t6021 () (tptp.c_Enum_Oenum__class_Oenum__all @t17)) % 54.38/54.68 (define @t6022 () (tptp.hBOOL (tptp.hAPP @t6021 @t111))) % 54.38/54.68 (define @t6023 () (tptp.hBOOL (tptp.hAPP @t111 @t5229))) % 54.38/54.68 (define @t6024 () (tptp.c_List_Olist__ex @t17 @t111 @t5096)) % 54.38/54.68 (define @t6025 () (exists @t7 (and @t5341 @t583))) % 54.38/54.68 (define @t6026 () (= @t5096 (tptp.hAPP (tptp.hAPP @t5493 @t5218) (tptp.hAPP @t5152 @t5985)))) % 54.38/54.68 (define @t6027 () (@list @t5218 @t5985)) % 54.38/54.68 (define @t6028 () (tptp.c_List_Olist__all @t17 @t111 @t5096)) % 54.38/54.68 (define @t6029 () (tptp.c_List_Olist__ex1 @t17 @t111 @t5096)) % 54.38/54.68 (define @t6030 () (tptp.c_List_Osplice @t10 @t5086 @t5085)) % 54.38/54.68 (define @t6031 () (@var "V_va" $$unsorted)) % 54.38/54.68 (define @t6032 () (tptp.hAPP (tptp.hAPP @t5135 @t731) @t6031)) % 54.38/54.68 (define @t6033 () (tptp.c_List_Oreplicate @t10 @t9 @t28)) % 54.38/54.68 (define @t6034 () (@list @t28 @t10 @t9)) % 54.38/54.68 (define @t6035 () (tptp.c_List_Oreplicate @t17 @t33 @t176)) % 54.38/54.68 (define @t6036 () (tptp.c_List_Oreplicate @t17 @t33 @t125)) % 54.38/54.68 (define @t6037 () (tptp.hAPP @t5846 @t6036)) % 54.38/54.68 (define @t6038 () (@list @t125 @t33 @t17)) % 54.38/54.68 (define @t6039 () (@var "V_lst_2" $$unsorted)) % 54.38/54.68 (define @t6040 () (tptp.hAPP @t2267 @t240)) % 54.38/54.68 (define @t6041 () (tptp.c_List_Oreplicate @t10 @t239 @t28)) % 54.38/54.68 (define @t6042 () (@list @t28 @t239 @t240 @t10)) % 54.38/54.68 (define @t6043 () (tptp.hAPP (tptp.c_List_Ofilter @t17 @t2479) @t5096)) % 54.38/54.68 (define @t6044 () (tptp.c_List_Oreplicate @t10 @t240 @t28)) % 54.38/54.68 (define @t6045 () (tptp.hBOOL (tptp.hAPP @t2421 (tptp.hAPP @t5269 (tptp.c_List_Oreplicate @t17 @t33 @t36))))) % 54.38/54.68 (define @t6046 () (@list @t111 @t36 @t33 @t17)) % 54.38/54.68 (define @t6047 () (tptp.c_Predicate_Oconversep @t67 @t17 @t2232)) % 54.38/54.68 (define @t6048 () (tptp.c_Predicate_Oconversep @t67 @t17 @t1753)) % 54.38/54.68 (define @t6049 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1753 @t346) @t36))) % 54.38/54.68 (define @t6050 () (tptp.c_Predicate_Oconversep @t17 @t67 @t1753)) % 54.38/54.68 (define @t6051 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6050 @t36) @t346))) % 54.38/54.68 (define @t6052 () (@list @t346 @t36 @t1753 @t67 @t17)) % 54.38/54.68 (define @t6053 () (tptp.hAPP @t5506 @t6033)) % 54.38/54.68 (define @t6054 () (tptp.hAPP @t5269 @t6036)) % 54.38/54.68 (define @t6055 () (=> @t84 (= @t6054 @t3255))) % 54.38/54.68 (define @t6056 () (@list @t125 @t17 @t33)) % 54.38/54.68 (define @t6057 () (@var "V_lazy__sequence" $$unsorted)) % 54.38/54.68 (define @t6058 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence @t10))) % 54.38/54.68 (define @t6059 () (@var "V_yq" $$unsorted)) % 54.38/54.68 (define @t6060 () (@var "V_xq" $$unsorted)) % 54.38/54.68 (define @t6061 () (@var "V_lazy__sequence_H_2" $$unsorted)) % 54.38/54.68 (define @t6062 () (@var "V_lazy__sequence_2" $$unsorted)) % 54.38/54.68 (define @t6063 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t17 @t36 @t6062)) % 54.38/54.68 (define @t6064 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t17 @t2456)) % 54.38/54.68 (define @t6065 () (tptp.c_Lazy__Sequence_Oyield @t17)) % 54.38/54.68 (define @t6066 () (tptp.hAPP @t6065 @t2496)) % 54.38/54.68 (define @t6067 () (tptp.c_Nat_Osize__class_Osize @t2465)) % 54.38/54.68 (define @t6068 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1919 @t2465) @t760)) % 54.38/54.68 (define @t6069 () (tptp.c_COMBC @t2465 tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t6070 () (tptp.tc_fun @t2465 tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t6071 () (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t2465 tptp.tc_Nat_Onat)) % 54.38/54.68 (define @t6072 () (tptp.tc_prod @t17 @t2465)) % 54.38/54.68 (define @t6073 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t17 @t2232)) % 54.38/54.68 (define @t6074 () (tptp.tc_fun @t2465 @t1919)) % 54.38/54.68 (define @t6075 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t67)) % 54.38/54.68 (define @t6076 () (tptp.c_List_Omember @t17)) % 54.38/54.68 (define @t6077 () (tptp.hAPP @t6076 @t5096)) % 54.38/54.68 (define @t6078 () (tptp.hBOOL (tptp.hAPP @t6077 @t125))) % 54.38/54.68 (define @t6079 () (@var "B_T2" $$unsorted)) % 54.38/54.68 (define @t6080 () (@var "B_T1" $$unsorted)) % 54.38/54.68 (define @t6081 () (tptp.c_FunDef_OTHE__default @t17 @t863 @t111)) % 54.38/54.68 (define @t6082 () (exists @t7 (and @t583 (forall @t4157 (=> @t4627 @t4306))))) % 54.38/54.68 (define @t6083 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t10)) % 54.38/54.68 (define @t6084 () (@var "V_lazy__sequence_H" $$unsorted)) % 54.38/54.68 (define @t6085 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t1332 @t6084)) % 54.38/54.68 (define @t6086 () (@list @t6084 @t1332 @t10)) % 54.38/54.68 (define @t6087 () (tptp.c_List_Oall__interval__int @t111 @t31 @t759)) % 54.38/54.68 (define @t6088 () (@list @t759 @t31 @t111)) % 54.38/54.68 (define @t6089 () (tptp.hAPP @t4582 (tptp.hAPP @t4588 @t4580))) % 54.38/54.68 (define @t6090 () (tptp.c_Relation_Otrans @t17 @t1753)) % 54.38/54.68 (define @t6091 () (tptp.hAPP @t4612 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2423 tptp.tc_HOL_Obool @t231) @t4655) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2423 @t2423 @t231) @t6089) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t231 @t3079 @t2423) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2621 @t4592 @t231) @t4591) tptp.c_fequal)) @t230))))) % 54.38/54.68 (define @t6092 () (tptp.tc_fun @t1244 tptp.tc_HOL_Obool)) % 54.38/54.68 (define @t6093 () (tptp.tc_fun @t1244 @t17)) % 54.38/54.68 (define @t6094 () (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6092 tptp.tc_HOL_Obool @t17) (tptp.c_HOL_OEx @t1244)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6092 @t6092 @t17) (tptp.hAPP (tptp.c_COMBS @t1244 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1991 @t1244) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1244 @t6092 tptp.tc_HOL_Obool) (tptp.c_member @t1244)) @t226)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t6093 @t6092) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 (tptp.tc_fun @t6093 @t6092) @t17) (tptp.c_COMBB @t17 tptp.tc_HOL_Obool @t1244)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1244 @t67 @t17) (tptp.c_COMBI @t1244)) @t125)))))) % 54.38/54.68 (define @t6095 () (tptp.c_Predicate_Otransp @t17 @t1753)) % 54.38/54.68 (define @t6096 () (tptp.hAPP @t1753 @t176)) % 54.38/54.68 (define @t6097 () (tptp.c_Predicate_Otransp @t17 @t2186)) % 54.38/54.68 (define @t6098 () (tptp.c_Predicate_Osymp @t17 @t2186)) % 54.38/54.68 (define @t6099 () (tptp.c_Predicate_Oreflp @t17 @t2186)) % 54.38/54.68 (define @t6100 () (tptp.c_Predicate_Osymp @t17 @t1753)) % 54.38/54.68 (define @t6101 () (=> @t6098 (not @t6097))) % 54.38/54.68 (define @t6102 () (tptp.c_Relation_Oantisym @t17 @t1753)) % 54.38/54.68 (define @t6103 () (tptp.hBOOL (tptp.hAPP @t4902 @t1753))) % 54.38/54.68 (define @t6104 () (@list @t346 @t36 @t1753 @t17)) % 54.38/54.68 (define @t6105 () (tptp.tc_fun @t4305 tptp.tc_HOL_Obool)) % 54.38/54.68 (define @t6106 () (tptp.tc_fun @t4305 @t67)) % 54.38/54.68 (define @t6107 () (@var "V_L_2" $$unsorted)) % 54.38/54.68 (define @t6108 () (tptp.c_Relation_Osym @t17 @t1753)) % 54.38/54.68 (define @t6109 () (tptp.c_Relation_Osym @t17 @t2232)) % 54.38/54.68 (define @t6110 () (tptp.hBOOL (tptp.hAPP @t4340 @t3))) % 54.38/54.68 (define @t6111 () (exists @t7 @t6110)) % 54.38/54.68 (define @t6112 () (tptp.c_Equiv__Relations_Opart__equivp @t17 @t2186)) % 54.38/54.68 (define @t6113 () (= (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t17 @t17 (tptp.c_Hilbert__Choice_Oinv__into @t17 @t67 @t4275 @t2)) @t2) @t4658)) % 54.38/54.68 (define @t6114 () (tptp.c_Hilbert__Choice_Oinv__into @t67 @t17 @t226 @t2)) % 54.38/54.68 (define @t6115 () (tptp.c_Hilbert__Choice_Oinv__into @t67 @t17 @t4278 @t2)) % 54.38/54.68 (define @t6116 () (@var "T_1" $$unsorted)) % 54.38/54.68 (define @t6117 () (@var "T_2" $$unsorted)) % 54.38/54.68 (define @t6118 () (tptp.tc_fun @t6117 @t6116)) % 54.38/54.68 (define @t6119 () (tptp.class_Lattices_Obounded__lattice @t6116)) % 54.38/54.68 (define @t6120 () (@list @t6117 @t6116)) % 54.38/54.68 (define @t6121 () (tptp.class_Lattices_Olattice @t6116)) % 54.38/54.68 (define @t6122 () (tptp.class_Finite__Set_Ofinite @t6116)) % 54.38/54.68 (define @t6123 () (and (tptp.class_Finite__Set_Ofinite @t6117) @t6122)) % 54.38/54.68 (define @t6124 () (@list @t6116 @t6117)) % 54.38/54.68 (define @t6125 () (tptp.class_Enum_Oenum @t6116)) % 54.38/54.68 (define @t6126 () (and (tptp.class_Enum_Oenum @t6117) @t6125)) % 54.38/54.68 (define @t6127 () (tptp.tc_List_Olist @t6116)) % 54.38/54.68 (define @t6128 () (tptp.class_Lazy__Sequence_Osmall__lazy @t6116)) % 54.38/54.68 (define @t6129 () (@list @t6116)) % 54.38/54.68 (define @t6130 () (tptp.tc_sum @t6117 @t6116)) % 54.38/54.68 (define @t6131 () (tptp.tc_Option_Ooption @t6116)) % 54.38/54.68 (define @t6132 () (tptp.tc_prod @t6117 @t6116)) % 54.38/54.68 (define @t6133 () (@var "V_P" $$unsorted)) % 54.38/54.68 (define @t6134 () (@var "V_Q" $$unsorted)) % 54.38/54.68 (define @t6135 () (tptp.hAPP @t2260 @t2186)) % 54.38/54.68 (define @t6136 () (tptp.hAPP @t111 @t2186)) % 54.38/54.68 (define @t6137 () (@list @t2186 @t2260 @t111 @t17 @t1945 @t67)) % 54.38/54.68 (define @t6138 () (tptp.hBOOL (tptp.hAPP @t2479 @t176))) % 54.38/54.68 (define @t6139 () (tptp.hBOOL @t111)) % 54.38/54.68 (define @t6140 () (not @t6139)) % 54.38/54.68 (define @t6141 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t111))) % 54.38/54.68 (define @t6142 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t111) @t2260))) % 54.38/54.68 (define @t6143 () (tptp.hBOOL @t2260)) % 54.38/54.68 (define @t6144 () (not @t6143)) % 54.38/54.68 (define @t6145 () (@list @t2260 @t111)) % 54.38/54.68 (define @t6146 () (not @t6142)) % 54.38/54.68 (define @t6147 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t111) @t2260))) % 54.38/54.68 (define @t6148 () (@list @t111 @t2260)) % 54.38/54.68 (define @t6149 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t111) @t2260))) % 54.38/54.68 (define @t6150 () (tptp.hAPP tptp.c_Nat_OSuc tptp.v_n)) % 54.38/54.68 (define @t6151 () (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a @t6150 @t3)) % 54.38/54.68 (define @t6152 () (tptp.c_member (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a))) % 54.38/54.68 (define @t6153 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6152 @t3) tptp.v_ts))) % 54.38/54.68 (define @t6154 () (forall @t7 (=> @t6153 @t6151))) % 54.38/54.68 (define @t6155 () (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a tptp.v_n @t3)) % 54.38/54.68 (define @t6156 () (forall @t7 (=> @t6153 @t6155))) % 54.38/54.68 (define @t6157 () (not @t6156)) % 54.38/54.68 (define @t6158 () (@quantifiers_skolemize (forall @t7 (or (not @t6153) @t6155)) 0)) % 54.38/54.68 (define @t6159 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6152 @t6158) tptp.v_ts))) % 54.38/54.68 (define @t6160 () (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a tptp.v_n @t6158)) % 54.38/54.68 (define @t6161 () (not @t6159)) % 54.38/54.68 (define @t6162 () (or @t6161 @t6160)) % 54.38/54.68 (define @t6163 () (@list true)) % 54.38/54.68 (define @t6164 () (@list @t6162)) % 54.38/54.68 (define @t6165 () (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a @t6150 @t6158)) % 54.38/54.68 (define @t6166 () (or @t6161 @t6165)) % 54.38/54.68 (define @t6167 () (not @t6165)) % 54.38/54.68 (define @t6168 () (or @t6167 @t6160)) % 54.38/54.68 (define @t6169 () (not @t6168)) % 54.38/54.68 (define @t6170 () (@list true false)) % 54.38/54.68 (define @t6171 () (forall @t14 (or (not @t13) @t11))) % 54.38/54.68 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t7 @t6) (= @t2 @t1)))) % 54.38/54.68 (assume @p2 @t15) % 54.38/54.68 (assume @p3 (forall (@list @t19 @t21 @t17) (= (tptp.c_Hoare__Mirabelle_Ohoare__valids @t17 @t21 @t19) (forall @t22 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t20 @t21)) @t18)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t20 @t19)) @t18))))))) % 54.38/54.68 (assume @p4 (forall @t23 (not (= @t9 @t12)))) % 54.38/54.68 (assume @p5 (forall @t23 (not (= @t12 @t9)))) % 54.38/54.68 (assume @p6 (forall (@list @t24 @t25) (= (= @t26 (tptp.hAPP tptp.c_Nat_OSuc @t24)) (= @t25 @t24)))) % 54.38/54.68 (assume @p7 (forall @t30 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t28) (tptp.hAPP tptp.c_Nat_OSuc @t27)) @t29))) % 54.38/54.68 (assume @p8 (forall (@list @t31 @t33 @t32 @t17) (=> @t35 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t17 @t32 @t34 @t31) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t17 @t32 @t33 (tptp.hAPP @t32 @t31)))))) % 54.38/54.68 (assume @p9 (forall (@list @t33 @t36 @t37 @t38 @t17) (= (tptp.hAPP @t39 @t34) (tptp.hAPP (tptp.hAPP @t37 @t36) (tptp.hAPP @t39 @t33))))) % 54.38/54.68 (assume @p10 (forall @t43 (= (tptp.c_Nat_Onat_Onat__case @t17 @t42 @t40 @t26) @t41))) % 54.38/54.68 (assume @p11 (forall @t43 (= (tptp.hAPP @t44 @t26) (tptp.hAPP @t41 (tptp.hAPP @t44 @t25))))) % 54.38/54.68 (assume @p12 (forall @t45 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t17 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t17)))) % 54.38/54.68 (assume @p13 (tptp.c_Orderings_Oorder__class_Omono tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 54.38/54.68 (assume @p14 (forall @t51 (=> @t50 (= (tptp.c_Orderings_Oorder__class_Omono tptp.tc_Nat_Onat @t17 @t2) (forall @t22 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t48) @t47))))))) % 54.38/54.68 (assume @p15 (forall (@list @t33 @t53 @t55 @t17 @t2) (=> (forall @t22 (= @t48 (tptp.hAPP (tptp.c_Nat_Onat_Onat__rec @t17 @t55 @t53) @t16))) (= @t54 (tptp.hAPP (tptp.hAPP @t53 @t33) @t52))))) % 54.38/54.68 (assume @p16 (forall (@list @t31 @t32 @t17) (=> @t35 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t17 @t32 @t56 @t31) @t31)))) % 54.38/54.68 (assume @p17 (forall (@list @t36 @t37 @t38 @t17) (= (tptp.hAPP @t39 @t56) @t38))) % 54.38/54.68 (assume @p18 (forall @t57 (= (tptp.hAPP @t44 @t56) @t42))) % 54.38/54.68 (assume @p19 (forall @t57 (= (tptp.c_Nat_Onat_Onat__case @t17 @t42 @t40 @t56) @t42))) % 54.38/54.68 (assume @p20 (forall @t65 (=> @t64 @t62))) % 54.38/54.68 (assume @p21 (forall @t23 (tptp.hBOOL (tptp.hAPP @t66 @t12)))) % 54.38/54.68 (assume @p22 (forall @t72 (=> @t71 (=> @t69 @t68)))) % 54.38/54.68 (assume @p23 (forall @t73 (not (= @t59 @t56)))) % 54.38/54.68 (assume @p24 (forall @t73 (not (= @t56 @t59)))) % 54.38/54.68 (assume @p25 (forall (@list @t74) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t74) @t56)))) % 54.38/54.68 (assume @p26 (forall @t78 (=> @t77 (tptp.hBOOL (tptp.hAPP @t76 @t28))))) % 54.38/54.68 (assume @p27 (forall @t23 (tptp.hBOOL (tptp.hAPP @t80 @t9)))) % 54.38/54.68 (assume @p28 (forall @t23 (not (tptp.hBOOL (tptp.hAPP @t66 @t56))))) % 54.38/54.68 (assume @p29 (forall @t23 (tptp.hBOOL (tptp.hAPP @t81 @t12)))) % 54.38/54.68 (assume @p30 (forall @t23 (not (tptp.hBOOL (tptp.hAPP @t66 @t9))))) % 54.38/54.68 (assume @p31 (forall @t85 (= @t84 @t82))) % 54.38/54.68 (assume @p32 (forall @t93 (= @t92 (or @t90 @t88)))) % 54.38/54.68 (assume @p33 (forall @t85 (= (tptp.hBOOL (tptp.hAPP @t94 @t56)) @t83))) % 54.38/54.68 (assume @p34 (forall @t93 (= @t90 (and @t96 @t92)))) % 54.38/54.68 (assume @p35 (forall @t93 (= @t96 @t97))) % 54.38/54.68 (assume @p36 (forall @t30 (=> @t100 (=> (not @t99) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t27) @t28)))))) % 54.38/54.68 (assume @p37 (forall @t65 (=> @t64 @t102))) % 54.38/54.68 (assume @p38 (forall @t106 (=> @t105 @t104))) % 54.38/54.68 (assume @p39 (forall (@list @t8 @t107) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t107) @t8)) (not (= @t107 @t8))))) % 54.38/54.68 (assume @p40 (forall @t65 (=> @t64 @t109))) % 54.38/54.68 (assume @p41 (forall @t65 (=> @t109 (=> @t104 @t64)))) % 54.38/54.68 (assume @p42 (forall @t65 (=> (or @t64 @t103) @t109))) % 54.38/54.68 (assume @p43 (forall @t23 (=> @t102 @t110))) % 54.38/54.68 (assume @p44 (forall (@list @t111 @t33 @t86) (=> (=> @t90 @t113) (=> (=> @t91 @t113) (=> (=> @t88 @t113) @t113))))) % 54.38/54.68 (assume @p45 (forall @t121 (=> @t120 (=> @t119 (=> @t100 @t116))))) % 54.38/54.68 (assume @p46 (forall @t121 (=> @t120 (=> (not @t124) @t123)))) % 54.38/54.68 (assume @p47 (forall (@list @t125 @t1 @t2 @t17 @t67) (=> @t133 (=> @t132 (tptp.hBOOL (tptp.hAPP @t129 @t126)))))) % 54.38/54.68 (assume @p48 (forall @t121 (=> @t77 (=> @t118 (not @t116))))) % 54.38/54.68 (assume @p49 (forall @t139 (=> @t138 (=> @t123 (=> @t137 @t136))))) % 54.38/54.68 (assume @p50 (forall @t140 (=> @t138 (=> @t123 (=> @t124 @t29))))) % 54.38/54.68 (assume @p51 (forall @t139 (=> @t138 (=> @t123 @t143)))) % 54.38/54.68 (assume @p52 (forall @t146 (=> @t77 (=> @t124 (=> @t145 @t144))))) % 54.38/54.68 (assume @p53 (forall @t121 (=> @t138 (=> @t124 (=> @t123 @t29))))) % 54.38/54.68 (assume @p54 (forall @t146 (=> @t77 (=> @t124 @t148)))) % 54.38/54.68 (assume @p55 (forall @t157 (=> @t138 (=> @t156 (=> @t154 @t152))))) % 54.38/54.68 (assume @p56 (forall @t162 (=> @t161 (=> @t160 (=> @t154 @t159))))) % 54.38/54.68 (assume @p57 (forall @t139 (=> @t138 (=> @t116 (=> @t137 @t142))))) % 54.38/54.68 (assume @p58 (forall @t139 (=> @t138 (=> @t116 @t143)))) % 54.38/54.68 (assume @p59 (forall @t146 (=> @t77 (=> @t118 (=> @t145 @t147))))) % 54.38/54.68 (assume @p60 (forall @t146 (=> @t77 (=> @t118 @t148)))) % 54.38/54.68 (assume @p61 (forall @t157 (=> @t138 (=> @t166 (=> @t154 @t164))))) % 54.38/54.68 (assume @p62 (forall @t162 (=> @t161 (=> @t169 (=> @t154 @t168))))) % 54.38/54.68 (assume @p63 (forall @t162 (=> @t138 (=> @t170 (=> (tptp.hBOOL (tptp.hAPP @t151 @t153)) @t152))))) % 54.38/54.68 (assume @p64 (forall @t162 (=> @t161 (=> @t170 (=> @t171 @t159))))) % 54.38/54.68 (assume @p65 (forall @t162 (=> @t138 (=> @t170 (=> (tptp.hBOOL (tptp.hAPP @t163 @t153)) @t164))))) % 54.38/54.68 (assume @p66 (forall @t162 (=> @t161 (=> @t170 (=> @t172 @t168))))) % 54.38/54.68 (assume @p67 (forall @t173 (=> @t138 (=> @t166 (not @t169))))) % 54.38/54.68 (assume @p68 (forall @t174 (=> @t77 (=> @t169 (not @t166))))) % 54.38/54.68 (assume @p69 (forall @t173 (=> @t138 (=> @t156 (=> @t175 @t166))))) % 54.38/54.68 (assume @p70 (forall @t174 (=> @t138 (=> @t160 (=> @t175 @t169))))) % 54.38/54.68 (assume @p71 (forall @t183 (=> @t50 (=> @t182 @t180)))) % 54.38/54.68 (assume @p72 (forall @t121 (=> @t138 (=> @t124 (or @t118 @t29))))) % 54.38/54.68 (assume @p73 (forall @t121 (=> @t138 (=> @t118 @t184)))) % 54.38/54.68 (assume @p74 (forall @t121 (=> @t138 (=> @t118 @t100)))) % 54.38/54.68 (assume @p75 (forall @t191 (=> @t190 (=> @t179 @t189)))) % 54.38/54.68 (assume @p76 (forall @t121 (=> @t77 (=> @t118 @t124)))) % 54.38/54.68 (assume @p77 (forall @t121 (=> @t77 (=> @t29 @t124)))) % 54.38/54.68 (assume @p78 (forall @t140 (=> @t120 (=> @t123 @t119)))) % 54.38/54.68 (assume @p79 (forall @t121 (=> @t120 @t192))) % 54.38/54.68 (assume @p80 (forall @t174 (=> @t138 (=> @t175 (=> @t156 @t166))))) % 54.38/54.68 (assume @p81 (forall @t174 (=> @t138 (=> @t175 (=> @t160 @t169))))) % 54.38/54.68 (assume @p82 (forall @t191 (=> @t190 (=> @t188 @t180)))) % 54.38/54.68 (assume @p83 (forall @t183 (=> @t190 (=> (not @t194) @t189)))) % 54.38/54.68 (assume @p84 (forall @t140 (=> @t120 (=> (not @t123) @t118)))) % 54.38/54.68 (assume @p85 (forall @t121 (=> @t120 (=> @t119 @t123)))) % 54.38/54.68 (assume @p86 (forall @t198 (=> @t71 (=> @t69 (=> @t187 @t197))))) % 54.38/54.68 (assume @p87 (forall @t198 (=> @t200 (=> @t69 (= @t199 @t179))))) % 54.38/54.68 (assume @p88 (forall @t198 (=> @t200 (=> @t69 (= @t197 @t187))))) % 54.38/54.68 (assume @p89 (forall @t198 (=> @t200 (=> @t69 @t202)))) % 54.38/54.68 (assume @p90 (forall @t121 (=> @t120 (or @t118 @t29 @t116)))) % 54.38/54.68 (assume @p91 (forall @t191 (=> @t50 (= @t179 (or @t187 @t177))))) % 54.38/54.68 (assume @p92 (forall @t191 (=> @t50 (= @t177 (and @t179 @t182))))) % 54.38/54.68 (assume @p93 (forall @t191 (=> (tptp.class_Orderings_Opreorder @t17) (= @t187 (and @t179 (not @t182)))))) % 54.38/54.68 (assume @p94 (forall @t191 (=> @t50 (= @t187 (and @t179 @t203))))) % 54.38/54.68 (assume @p95 (forall @t121 (=> @t120 (or @t124 @t123)))) % 54.38/54.68 (assume @p96 (forall @t121 (=> @t120 (or @t124 @t116)))) % 54.38/54.68 (assume @p97 (forall @t205 (=> @t133 (= @t132 (forall @t7 @t204))))) % 54.38/54.68 (assume @p98 (forall @t191 (=> @t190 (= @t188 (or @t194 @t177))))) % 54.38/54.68 (assume @p99 (forall @t191 (=> @t190 (= @t203 (or @t187 @t194))))) % 54.38/54.68 (assume @p100 (forall @t191 (=> @t190 (= (not @t179) @t194)))) % 54.38/54.68 (assume @p101 (forall @t191 (=> @t190 (= @t188 @t182)))) % 54.38/54.68 (assume @p102 (forall @t78 (=> @t77 (not (tptp.hBOOL (tptp.hAPP @t117 @t28)))))) % 54.38/54.68 (assume @p103 (forall @t65 (=> @t206 @t64))) % 54.38/54.68 (assume @p104 (forall @t93 (=> @t96 @t210))) % 54.38/54.68 (assume @p105 (forall @t65 (=> @t64 @t206))) % 54.38/54.68 (assume @p106 (forall @t65 (=> @t109 @t211))) % 54.38/54.68 (assume @p107 (forall @t93 (= @t212 @t90))) % 54.38/54.68 (assume @p108 (forall @t93 (= @t213 @t96))) % 54.38/54.68 (assume @p109 (forall @t216 (= @t88 @t215))) % 54.38/54.68 (assume @p110 (forall @t93 (= @t213 (or @t220 (exists @t219 (and (= @t86 (tptp.hAPP tptp.c_Nat_OSuc @t217)) (tptp.hBOOL (tptp.hAPP @t218 @t33)))))))) % 54.38/54.68 (assume @p111 (forall @t85 (= (tptp.hBOOL (tptp.hAPP @t87 @t221)) @t83))) % 54.38/54.68 (assume @p112 (forall @t85 (= @t82 (exists @t225 @t224)))) % 54.38/54.68 (assume @p113 (forall @t236 (=> @t235 (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 (tptp.hAPP (tptp.hAPP @t227 @t230) @t2)) @t229)))))) % 54.38/54.68 (assume @p114 (forall @t198 (=> @t71 (=> @t68 (=> @t179 @t199))))) % 54.38/54.68 (assume @p115 (forall @t93 (= (not @t90) @t209))) % 54.38/54.68 (assume @p116 (forall @t93 (= @t213 @t97))) % 54.38/54.68 (assume @p117 (forall @t93 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t208) @t34)) @t90))) % 54.38/54.68 (assume @p118 (forall @t216 (=> @t237 @t210))) % 54.38/54.68 (assume @p119 (forall @t106 (=> (not @t105) (=> (tptp.hBOOL (tptp.hAPP @t66 @t59)) @t103)))) % 54.38/54.68 (assume @p120 (forall @t65 (=> @t64 @t211))) % 54.38/54.68 (assume @p121 (forall @t65 (=> @t64 (=> (not (= @t59 @t9)) @t238)))) % 54.38/54.68 (assume @p122 (forall @t247 (=> @t246 (=> @t244 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t241) @t239)))))) % 54.38/54.68 (assume @p123 (forall @t65 (=> @t211 (=> @t248 @t103)))) % 54.38/54.68 (assume @p124 (forall @t65 (=> @t238 @t64))) % 54.38/54.68 (assume @p125 (forall @t65 (=> @t62 @t64))) % 54.38/54.68 (assume @p126 (forall @t23 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t12) @t9))))) % 54.38/54.68 (assume @p127 (forall @t93 (= @t249 @t215))) % 54.38/54.68 (assume @p128 (forall @t93 (= @t250 (or @t96 (= @t86 @t34))))) % 54.38/54.68 (assume @p129 (forall @t216 (= (tptp.hBOOL (tptp.hAPP @t214 @t208)) @t251))) % 54.38/54.68 (assume @p130 (forall @t65 (=> @t109 @t252))) % 54.38/54.68 (assume @p131 (forall @t65 (=> @t252 (=> (not @t109) (= @t58 @t12))))) % 54.38/54.68 (assume @p132 (forall @t65 (=> @t206 @t109))) % 54.38/54.68 (assume @p133 (forall (@list @t253) (not (= @t56 (tptp.hAPP tptp.c_Nat_OSuc @t253))))) % 54.38/54.68 (assume @p134 (forall @t265 (=> @t264 (=> @t169 (=> @t263 (=> @t110 @t260)))))) % 54.38/54.68 (assume @p135 (forall @t271 (=> @t270 (= (tptp.hBOOL (tptp.hAPP @t269 @t267)) @t82)))) % 54.38/54.68 (assume @p136 (forall @t23 (=> @t110 (exists @t225 (= @t9 @t223))))) % 54.38/54.68 (assume @p137 (forall (@list @t86 @t33 @t2 @t17) (=> @t50 (=> @t274 (= (tptp.hBOOL (tptp.hAPP @t273 @t272)) @t88))))) % 54.38/54.68 (assume @p138 (forall (@list @t275 @t33 @t2 @t17) (=> @t50 (=> @t274 (=> (tptp.hBOOL (tptp.hAPP @t87 @t275)) (tptp.hBOOL (tptp.hAPP @t273 (tptp.hAPP @t2 @t275)))))))) % 54.38/54.68 (assume @p139 (forall @t277 (=> @t264 (=> (= @t258 @t256) (=> @t263 (=> @t276 (=> @t110 @t170))))))) % 54.38/54.68 (assume @p140 (forall @t30 (=> @t99 @t279))) % 54.38/54.68 (assume @p141 (forall @t121 (=> @t280 @t192))) % 54.38/54.68 (assume @p142 (forall @t282 (=> (tptp.class_Groups_Ozero @t17) (= (= @t268 @t125) @t281)))) % 54.38/54.68 (assume @p143 (forall @t72 (=> @t71 (=> (forall @t287 (=> (tptp.hBOOL (tptp.hAPP @t286 @t283)) (tptp.hBOOL (tptp.hAPP @t285 @t284)))) @t69)))) % 54.38/54.68 (assume @p144 (forall @t106 (=> @t293 (=> @t292 (tptp.hBOOL (tptp.hAPP @t66 @t290)))))) % 54.38/54.68 (assume @p145 (forall @t23 (tptp.hBOOL (tptp.hAPP @t294 @t9)))) % 54.38/54.68 (assume @p146 (forall @t73 (tptp.hBOOL (tptp.hAPP @t108 @t295)))) % 54.38/54.68 (assume @p147 (forall @t73 (tptp.hBOOL (tptp.hAPP @t108 (tptp.hAPP @t289 @t295))))) % 54.38/54.68 (assume @p148 (forall @t65 (or @t109 @t296))) % 54.38/54.68 (assume @p149 (forall @t65 (=> @t103 @t109))) % 54.38/54.68 (assume @p150 (forall @t247 (=> @t303 (tptp.hBOOL (tptp.hAPP @t301 @t298))))) % 54.38/54.68 (assume @p151 (forall @t247 (=> @t303 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t306) @t305))))) % 54.38/54.68 (assume @p152 (forall @t247 (=> @t303 (=> (tptp.hBOOL (tptp.hAPP @t307 @t239)) (tptp.hBOOL (tptp.hAPP @t302 @t239)))))) % 54.38/54.68 (assume @p153 (forall @t65 (=> @t109 (=> @t296 @t103)))) % 54.38/54.68 (assume @p154 (forall @t311 (=> @t303 (=> @t310 (tptp.hBOOL (tptp.hAPP @t301 (tptp.hAPP @t297 @t308))))))) % 54.38/54.68 (assume @p155 (forall @t205 (=> @t133 (= @t312 (and @t132 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t131 @t1) @t2)))))))) % 54.38/54.68 (assume @p156 (forall @t162 (=> (tptp.class_Groups_Oab__semigroup__mult @t10) (= (tptp.hAPP (tptp.hAPP @t313 @t317) @t150) (tptp.hAPP @t316 @t315))))) % 54.38/54.68 (assume @p157 (forall @t265 (=> @t319 (= (tptp.hAPP (tptp.hAPP @t254 @t317) @t9) (tptp.hAPP @t318 @t256))))) % 54.38/54.68 (assume @p158 (forall @t322 (= (tptp.hAPP (tptp.hAPP @t288 @t290) @t239) (tptp.hAPP @t289 @t321)))) % 54.38/54.68 (assume @p159 (forall @t326 (=> @t325 (= @t324 @t323)))) % 54.38/54.68 (assume @p160 (forall @t329 (=> @t328 (= (= @t327 @t267) @t91)))) % 54.38/54.68 (assume @p161 (forall @t331 (=> @t325 (= (tptp.hAPP @t257 @t290) (tptp.hAPP (tptp.hAPP @t254 @t330) @t9))))) % 54.38/54.68 (assume @p162 (forall @t65 (= @t290 @t332))) % 54.38/54.68 (assume @p163 (forall @t337 (=> @t336 (= (tptp.hAPP @t333 @t290) (tptp.hAPP (tptp.hAPP @t313 @t335) @t334))))) % 54.38/54.68 (assume @p164 (forall @t337 (=> @t336 (= (tptp.hAPP @t333 @t339) (tptp.hAPP (tptp.hAPP @t254 @t335) @t9))))) % 54.38/54.68 (assume @p165 (forall @t326 (=> @t341 (= @t340 @t323)))) % 54.38/54.68 (assume @p166 (forall @t326 (=> @t325 (= @t340 @t324)))) % 54.38/54.68 (assume @p167 (forall @t344 (=> @t343 @t342))) % 54.38/54.68 (assume @p168 (forall @t344 (=> @t343 @t345))) % 54.38/54.68 (assume @p169 (forall @t352 (=> (tptp.class_Rings_Oring__no__zero__divisors @t17) (= (= @t351 @t268) (or @t348 @t347))))) % 54.38/54.68 (assume @p170 (forall @t174 (=> @t358 (=> @t357 (=> @t355 (not @t353)))))) % 54.38/54.68 (assume @p171 (forall @t174 (=> @t358 (=> @t353 (or @t356 @t354))))) % 54.38/54.68 (assume @p172 (forall @t326 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t10) (=> @t357 (not (= @t258 @t261)))))) % 54.38/54.68 (assume @p173 (forall @t329 (=> @t270 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t327) @t267)) @t96)))) % 54.38/54.68 (assume @p174 (forall @t366 (= (= @t365 @t363) @t361))) % 54.38/54.68 (assume @p175 (forall @t371 (= @t370 @t361))) % 54.38/54.68 (assume @p176 (forall @t93 (= (= @t372 @t56) (or @t220 @t83)))) % 54.38/54.68 (assume @p177 (forall @t73 (= (tptp.hAPP @t289 @t56) @t56))) % 54.38/54.68 (assume @p178 (forall @t23 (= (tptp.hAPP (tptp.hAPP @t288 @t56) @t9) @t56))) % 54.38/54.68 (assume @p179 (forall @t371 (= (= @t376 @t375) @t91))) % 54.38/54.68 (assume @p180 (forall @t371 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t376) @t375)) @t96))) % 54.38/54.68 (assume @p181 (forall @t344 (=> @t378 (tptp.hBOOL (tptp.hAPP @t262 @t377))))) % 54.38/54.68 (assume @p182 (forall @t352 (=> @t387 (= (tptp.hBOOL (tptp.hAPP @t383 @t351)) @t386)))) % 54.38/54.68 (assume @p183 (forall @t352 (=> @t387 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t351) @t268)) @t388)))) % 54.38/54.68 (assume @p184 (forall @t174 (=> @t390 (=> @t263 (=> @t276 @t389))))) % 54.38/54.68 (assume @p185 (forall @t174 (=> @t390 (=> @t263 (=> @t392 @t391))))) % 54.38/54.68 (assume @p186 (forall @t174 (=> @t390 (=> @t263 (=> @t392 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t393) @t261))))))) % 54.38/54.68 (assume @p187 (forall @t174 (=> @t390 (=> @t394 (=> @t276 @t391))))) % 54.38/54.68 (assume @p188 (forall @t174 (=> @t395 (=> @t394 (=> @t392 @t389))))) % 54.38/54.68 (assume @p189 (forall @t162 (=> @t400 (=> @t160 (=> @t399 @t398))))) % 54.38/54.68 (assume @p190 (forall @t162 (=> @t400 @t405))) % 54.38/54.68 (assume @p191 (forall @t162 (=> (tptp.class_Rings_Oordered__comm__semiring @t10) @t405))) % 54.38/54.68 (assume @p192 (forall @t157 (=> @t395 (=> @t156 (=> @t406 @t398))))) % 54.38/54.68 (assume @p193 (forall @t157 (=> @t395 (=> @t156 (=> @t406 @t404))))) % 54.38/54.68 (assume @p194 (forall @t411 (=> @t400 (=> @t160 (=> @t410 (=> @t263 @t409)))))) % 54.38/54.68 (assume @p195 (forall @t411 (=> @t400 (=> @t160 (=> @t410 (=> @t276 @t409)))))) % 54.38/54.68 (assume @p196 (forall @t174 (=> @t395 (=> (or (and @t263 @t276) (and @t394 @t392)) @t389)))) % 54.38/54.68 (assume @p197 (forall @t174 (=> @t390 (=> (or (and @t263 @t392) (and @t394 @t276)) @t391)))) % 54.38/54.68 (assume @p198 (forall @t344 (=> @t378 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t377) @t261)))))) % 54.38/54.68 (assume @p199 (forall @t424 (=> @t387 (= (tptp.hBOOL (tptp.hAPP @t423 @t421)) @t419)))) % 54.38/54.68 (assume @p200 (forall @t429 (=> @t387 (= @t428 @t419)))) % 54.38/54.68 (assume @p201 (forall @t429 (=> @t387 (=> @t418 (= @t428 @t417))))) % 54.38/54.68 (assume @p202 (forall @t174 (=> @t434 (=> @t433 (=> @t432 @t431))))) % 54.38/54.68 (assume @p203 (forall @t174 (=> @t434 (=> @t433 (=> @t436 @t435))))) % 54.38/54.68 (assume @p204 (forall @t174 (=> @t434 (=> @t433 (=> @t436 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t393) @t261))))))) % 54.38/54.68 (assume @p205 (forall @t174 (=> @t434 (=> @t431 @t437)))) % 54.38/54.68 (assume @p206 (forall @t173 (=> @t434 (=> (tptp.hBOOL (tptp.hAPP @t430 @t393)) @t437)))) % 54.38/54.68 (assume @p207 (forall @t429 (=> @t387 (=> @t415 (= @t428 @t413))))) % 54.38/54.68 (assume @p208 (forall @t174 (=> @t434 (=> @t438 (=> @t432 @t435))))) % 54.38/54.68 (assume @p209 (forall @t174 (=> @t439 (=> @t438 (=> @t436 @t431))))) % 54.38/54.68 (assume @p210 (forall @t162 (=> @t434 (=> @t169 (=> @t442 @t441))))) % 54.38/54.68 (assume @p211 (forall @t162 (=> @t434 @t444))) % 54.38/54.68 (assume @p212 (forall @t162 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t10) @t444))) % 54.38/54.68 (assume @p213 (forall @t157 (=> @t439 (=> @t166 (=> @t445 @t441))))) % 54.38/54.68 (assume @p214 (forall @t157 (=> @t439 (=> @t166 (=> @t445 @t443))))) % 54.38/54.68 (assume @p215 (forall @t265 (=> @t264 (=> @t160 (=> @t263 (tptp.hBOOL (tptp.hAPP @t446 @t256))))))) % 54.38/54.68 (assume @p216 (forall @t326 (=> @t264 (=> @t263 (tptp.hBOOL (tptp.hAPP @t262 @t258)))))) % 54.38/54.68 (assume @p217 (forall @t326 (=> @t264 (=> @t433 (tptp.hBOOL (tptp.hAPP @t430 @t258)))))) % 54.38/54.68 (assume @p218 (forall @t451 (=> (and @t450 (tptp.class_Rings_Omult__zero @t17) (tptp.class_Rings_Ono__zero__divisors @t17) (tptp.class_Rings_Ozero__neq__one @t17)) (= (= @t449 @t268) (and @t348 @t84))))) % 54.38/54.68 (assume @p219 (forall @t454 (=> @t453 (= (tptp.hAPP @t452 @t12) @t261)))) % 54.38/54.68 (assume @p220 (forall @t429 (=> @t387 (=> @t418 (= @t456 @t455))))) % 54.38/54.68 (assume @p221 (forall @t429 (=> @t387 (=> @t415 (= @t456 @t457))))) % 54.38/54.68 (assume @p222 (forall @t411 (=> @t434 (=> @t169 (=> @t460 (=> @t432 @t459)))))) % 54.38/54.68 (assume @p223 (forall @t411 (=> @t434 (=> @t169 (=> @t460 (=> @t263 @t459)))))) % 54.38/54.68 (assume @p224 (forall @t411 (=> @t434 (=> @t169 (=> @t410 (=> @t263 (=> @t442 @t458))))))) % 54.38/54.68 (assume @p225 (forall @t411 (=> @t434 (=> @t160 (=> @t460 (=> @t433 @t459)))))) % 54.38/54.68 (assume @p226 (forall @t464 (=> @t463 @t462))) % 54.38/54.68 (assume @p227 (forall @t464 (=> @t434 @t462))) % 54.38/54.68 (assume @p228 (forall @t466 (=> @t463 @t465))) % 54.38/54.68 (assume @p229 (forall @t466 (=> @t434 @t465))) % 54.38/54.68 (assume @p230 (forall @t464 (=> @t434 (=> @t398 @t467)))) % 54.38/54.68 (assume @p231 (forall @t466 (=> @t434 (=> @t404 @t467)))) % 54.38/54.68 (assume @p232 (forall @t23 (= (tptp.hAPP (tptp.hAPP @t338 @t221) @t9) @t221))) % 54.38/54.68 (assume @p233 (forall (@list @t86 @t125) (= (= (tptp.hAPP @t468 @t86) @t221) (or @t220 (= @t125 @t221))))) % 54.38/54.68 (assume @p234 (forall @t472 (=> (tptp.hBOOL (tptp.hAPP @t471 @t240)) (tptp.hBOOL (tptp.hAPP @t471 @t470))))) % 54.38/54.68 (assume @p235 (forall @t474 (=> (tptp.hBOOL (tptp.hAPP @t81 @t240)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t473) @t470)) @t64)))) % 54.38/54.68 (assume @p236 (forall @t475 (= (tptp.hBOOL (tptp.hAPP @t81 (tptp.hAPP @t468 @t33))) (or (tptp.hBOOL (tptp.hAPP @t81 @t125)) @t83)))) % 54.38/54.68 (assume @p237 (forall @t454 (=> @t264 (tptp.hBOOL (tptp.hAPP @t262 @t334))))) % 54.38/54.68 (assume @p238 (forall @t476 (=> @t264 (tptp.hBOOL (tptp.hAPP @t262 @t335))))) % 54.38/54.68 (assume @p239 (forall @t476 (=> @t264 (not (tptp.hBOOL (tptp.hAPP @t477 @t261)))))) % 54.38/54.68 (assume @p240 (forall @t478 (=> @t336 (= (tptp.hAPP @t333 @t56) @t261)))) % 54.38/54.68 (assume @p241 (forall @t93 (= (= @t372 @t221) (and @t480 @t479)))) % 54.38/54.68 (assume @p242 (forall @t93 (= (tptp.hBOOL (tptp.hAPP @t471 @t372)) (and (tptp.hBOOL (tptp.hAPP @t471 @t86)) (tptp.hBOOL (tptp.hAPP @t471 @t33)))))) % 54.38/54.68 (assume @p243 (forall @t337 (=> @t264 (=> @t481 @t64)))) % 54.38/54.68 (assume @p244 (forall @t337 (=> @t264 (=> @t64 @t481)))) % 54.38/54.68 (assume @p245 (forall @t329 (=> @t270 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t327) @t267)) @t90)))) % 54.38/54.68 (assume @p246 (forall @t247 (=> @t246 (=> @t482 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t306) @t305)))))) % 54.38/54.68 (assume @p247 (forall @t247 (=> @t246 (=> @t482 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t300) @t298)))))) % 54.38/54.68 (assume @p248 (forall @t366 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t365) @t363)) @t484))) % 54.38/54.68 (assume @p249 (forall @t371 (= @t485 @t484))) % 54.38/54.68 (assume @p250 (forall @t366 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t365) @t363)) @t486))) % 54.38/54.68 (assume @p251 (forall @t371 (= @t487 @t486))) % 54.38/54.68 (assume @p252 (forall @t93 (= (tptp.hBOOL (tptp.hAPP @t81 @t372)) (and @t488 @t82)))) % 54.38/54.68 (assume @p253 (forall @t371 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t376) @t375)) @t90))) % 54.38/54.68 (assume @p254 (forall @t277 (=> @t264 (=> @t260 (=> @t276 @t169))))) % 54.38/54.68 (assume @p255 (forall @t277 (=> @t264 (=> (= @t340 @t489) (=> @t263 (=> @t276 @t170)))))) % 54.38/54.68 (assume @p256 (forall @t277 (=> @t264 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t340) @t489)) (=> @t276 @t160))))) % 54.38/54.68 (assume @p257 (forall @t106 (=> @t293 (=> @t292 (tptp.hBOOL (tptp.hAPP @t291 @t290)))))) % 54.38/54.68 (assume @p258 (forall @t106 (=> @t293 (=> @t292 (tptp.hBOOL (tptp.hAPP @t66 @t332)))))) % 54.38/54.68 (assume @p259 (forall @t371 (=> @t483 (= @t485 @t96)))) % 54.38/54.68 (assume @p260 (forall @t371 (=> @t483 (= @t370 @t91)))) % 54.38/54.68 (assume @p261 (forall @t371 (=> @t483 (= @t487 @t90)))) % 54.38/54.68 (assume @p262 (forall @t497 (=> @t496 (= @t495 @t494)))) % 54.38/54.68 (assume @p263 (forall @t497 (=> @t496 (= @t494 @t495)))) % 54.38/54.68 (assume @p264 (forall @t497 (=> @t496 (= (tptp.hAPP @t498 @t28) @t495)))) % 54.38/54.68 (assume @p265 (forall @t502 (=> @t234 (=> @t501 @t499)))) % 54.38/54.68 (assume @p266 (forall @t506 (=> @t496 (= (tptp.hAPP (tptp.hAPP @t254 @t505) @t490) (tptp.hAPP @t491 (tptp.hAPP @t504 @t490)))))) % 54.38/54.68 (assume @p267 (forall @t371 (= @t370 (or @t360 @t91)))) % 54.38/54.68 (assume @p268 (forall (@list @t490 @t27 @t28 @t10) (=> @t496 (= (tptp.hAPP (tptp.hAPP @t254 @t508) @t490) (tptp.hAPP @t498 (tptp.hAPP @t507 @t490)))))) % 54.38/54.68 (assume @p269 (forall @t85 (= (tptp.hBOOL (tptp.hAPP @t513 @t510)) @t82))) % 54.38/54.68 (assume @p270 (forall @t247 (=> @t518 (=> @t516 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP @t515 @t240)) (tptp.hAPP @t515 @t242))))))) % 54.38/54.68 (assume @p271 (forall @t30 (or (tptp.hBOOL (tptp.hAPP @t520 @t27)) @t29 (tptp.hBOOL (tptp.hAPP @t519 @t28))))) % 54.38/54.68 (assume @p272 (forall @t526 (= (tptp.hBOOL (tptp.hAPP @t525 @t521)) (and (tptp.hBOOL (tptp.hAPP @t524 @t521)) (not (= @t522 @t521)))))) % 54.38/54.68 (assume @p273 (forall @t23 (tptp.hBOOL (tptp.hAPP @t528 @t527)))) % 54.38/54.68 (assume @p274 (forall @t530 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t529) @t511))))) % 54.38/54.68 (assume @p275 (forall @t65 (= @t534 @t533))) % 54.38/54.68 (assume @p276 (forall @t65 (= @t533 @t534))) % 54.38/54.68 (assume @p277 (forall @t93 (= (= @t535 @t510) @t91))) % 54.38/54.68 (assume @p278 (forall @t65 (= @t537 @t536))) % 54.38/54.68 (assume @p279 (forall @t65 (= @t536 @t537))) % 54.38/54.68 (assume @p280 (forall @t247 (=> @t518 (=> @t482 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP @t538 @t240)) (tptp.hAPP @t538 @t242))))))) % 54.38/54.68 (assume @p281 (forall @t550 (=> @t496 (= @t549 (tptp.hAPP @t545 (tptp.hAPP @t541 @t539)))))) % 54.38/54.68 (assume @p282 (forall @t550 (=> @t496 (= @t549 (tptp.hAPP @t546 (tptp.hAPP @t548 @t539)))))) % 54.38/54.68 (assume @p283 (forall @t550 (=> @t496 (= @t549 (tptp.hAPP @t544 (tptp.hAPP @t541 @t547)))))) % 54.38/54.68 (assume @p284 (forall @t552 (=> @t496 (= @t551 (tptp.hAPP @t545 @t540))))) % 54.38/54.68 (assume @p285 (forall @t552 (=> @t496 (= @t551 (tptp.hAPP @t544 (tptp.hAPP @t541 @t542)))))) % 54.38/54.68 (assume @p286 (forall @t554 (=> @t496 (= @t553 (tptp.hAPP @t545 @t539))))) % 54.38/54.68 (assume @p287 (forall @t554 (=> @t496 (= @t553 (tptp.hAPP @t546 (tptp.hAPP @t544 @t539)))))) % 54.38/54.68 (assume @p288 (forall @t174 (=> @t496 (= @t317 @t393)))) % 54.38/54.68 (assume @p289 (= @t555 @t511)) % 54.38/54.68 (assume @p290 (forall @t85 (= (= @t510 @t511) @t83))) % 54.38/54.68 (assume @p291 (forall @t85 (= (tptp.hBOOL (tptp.hAPP @t556 @t511)) @t83))) % 54.38/54.68 (assume @p292 (forall @t93 (= (tptp.hBOOL (tptp.hAPP @t557 @t510)) @t90))) % 54.38/54.68 (assume @p293 (forall @t558 (tptp.hBOOL (tptp.hAPP @t233 @t226)))) % 54.38/54.68 (assume @p294 (forall @t502 (= @t561 (and @t234 (not @t499))))) % 54.38/54.68 (assume @p295 (forall @t562 (= @t499 (and @t234 @t501)))) % 54.38/54.68 (assume @p296 (forall @t502 (= @t234 (or @t561 @t499)))) % 54.38/54.68 (assume @p297 (forall @t562 (=> @t499 @t234))) % 54.38/54.68 (assume @p298 (forall @t562 (=> @t499 @t501))) % 54.38/54.68 (assume @p299 (forall @t502 (=> @t561 @t234))) % 54.38/54.68 (assume @p300 (forall @t566 (=> @t561 (=> @t565 @t564)))) % 54.38/54.68 (assume @p301 (forall @t566 (=> @t234 @t567))) % 54.38/54.68 (assume @p302 (forall @t566 (=> @t234 (=> @t565 @t568)))) % 54.38/54.68 (assume @p303 (forall @t562 (=> @t499 (not (=> @t234 (not @t501)))))) % 54.38/54.68 (assume @p304 (forall @t93 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t535) @t510)) @t96))) % 54.38/54.68 (assume @p305 (forall @t571 (= (tptp.hAPP (tptp.hAPP @t532 @t570) @t134) (tptp.hAPP @t569 (tptp.hAPP (tptp.hAPP @t288 @t27) @t134))))) % 54.38/54.68 (assume @p306 (forall @t344 (=> @t496 @t345))) % 54.38/54.68 (assume @p307 (forall @t344 (=> @t496 @t342))) % 54.38/54.68 (assume @p308 (forall @t575 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t574) @t573)) @t572))) % 54.38/54.68 (assume @p309 (= @t511 @t555)) % 54.38/54.68 (assume @p310 (forall @t577 (= (tptp.hAPP (tptp.hAPP @t532 @t576) @t9) (tptp.hAPP @t509 (tptp.hAPP (tptp.hAPP @t338 @t28) @t9))))) % 54.38/54.68 (assume @p311 (forall @t30 (= (tptp.hAPP (tptp.hAPP @t514 @t576) @t579) (tptp.hAPP @t509 @t578)))) % 54.38/54.68 (assume @p312 (forall @t575 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t574) @t573)) @t580))) % 54.38/54.68 (assume @p313 (forall @t585 (= (forall @t7 (=> @t584 @t583)) (forall @t7 @t581)))) % 54.38/54.68 (assume @p314 (forall @t585 (= (exists @t7 (and @t584 @t583)) (exists @t7 @t581)))) % 54.38/54.68 (assume @p315 (forall @t587 (tptp.hBOOL (tptp.hAPP @t528 @t586)))) % 54.38/54.68 (assume @p316 (forall @t530 (=> @t516 (exists @t22 (and @t589 (= @t239 @t588)))))) % 54.38/54.68 (assume @p317 (forall @t594 (=> @t593 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t592) @t268)) @t590)))) % 54.38/54.68 (assume @p318 (forall @t594 (=> @t593 (= (tptp.hBOOL (tptp.hAPP @t269 @t592)) @t595)))) % 54.38/54.68 (assume @p319 (forall @t601 (=> @t600 (=> @t598 (= @t134 @t596))))) % 54.38/54.68 (assume @p320 (forall @t247 (=> @t603 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t242) @t239)) (tptp.hBOOL (tptp.hAPP @t602 @t239)))))) % 54.38/54.68 (assume @p321 (forall @t566 (=> @t561 @t567))) % 54.38/54.68 (assume @p322 (forall @t601 (or @t600 @t598))) % 54.38/54.68 (assume @p323 (forall @t604 (tptp.hBOOL (tptp.hAPP @t597 @t596)))) % 54.38/54.68 (assume @p324 (forall @t601 (= @t608 @t606))) % 54.38/54.68 (assume @p325 (forall @t614 (= (tptp.hAPP (tptp.hAPP @t514 (tptp.hAPP @t613 @t610)) @t609) (tptp.hAPP @t613 (tptp.hAPP @t611 @t609))))) % 54.38/54.68 (assume @p326 (forall @t618 (=> @t617 (= (= @t616 @t592) @t615)))) % 54.38/54.68 (assume @p327 (forall @t618 (=> @t593 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t616) @t592)) @t620)))) % 54.38/54.68 (assume @p328 (forall @t625 (=> @t624 (= (tptp.hAPP @t621 @t606) (tptp.hAPP (tptp.hAPP @t313 @t623) @t622))))) % 54.38/54.68 (assume @p329 (forall @t23 (= (tptp.hAPP @t626 @t527) @t527))) % 54.38/54.68 (assume @p330 (forall (@list @t9 @t134 @t10) (=> @t624 (= (tptp.hAPP @t621 @t627) (tptp.hAPP (tptp.hAPP @t254 @t622) @t9))))) % 54.38/54.68 (assume @p331 (forall @t478 (=> @t624 (= (tptp.hAPP @t621 @t511) @t261)))) % 54.38/54.68 (assume @p332 (forall @t594 (=> @t617 (= (= @t268 @t592) @t628)))) % 54.38/54.68 (assume @p333 (forall @t594 (=> @t617 (= (= @t592 @t268) @t628)))) % 54.38/54.68 (assume @p334 (forall @t618 (=> @t593 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t616) @t592)) @t630)))) % 54.38/54.68 (assume @p335 (forall @t454 (=> @t624 (= (tptp.hAPP @t621 @t527) @t334)))) % 54.38/54.68 (assume @p336 (forall @t594 (=> @t593 (= (tptp.hBOOL (tptp.hAPP @t383 @t592)) @t631)))) % 54.38/54.68 (assume @p337 (forall @t594 (=> @t593 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t592) @t268)) (tptp.hBOOL (tptp.hAPP @t524 @t511)))))) % 54.38/54.68 (assume @p338 (tptp.hBOOL (tptp.hAPP @t528 @t511))) % 54.38/54.68 (assume @p339 (forall @t577 (=> @t633 (tptp.hBOOL (tptp.hAPP @t528 @t632))))) % 54.38/54.68 (assume @p340 (forall @t30 (=> @t633 (=> @t635 (tptp.hBOOL (tptp.hAPP @t528 @t634)))))) % 54.38/54.68 (assume @p341 (forall @t575 (= (= @t574 @t573) @t177))) % 54.38/54.68 (assume @p342 (forall @t30 (=> @t633 (=> @t635 (tptp.hBOOL (tptp.hAPP @t528 @t636)))))) % 54.38/54.68 (assume @p343 (forall @t640 (=> @t639 (= (tptp.hBOOL (tptp.hAPP @t638 @t86)) (tptp.hBOOL (tptp.hAPP @t629 @t535)))))) % 54.38/54.68 (assume @p344 (forall @t643 (=> @t642 (= (tptp.hAPP tptp.c_Int_Onat @t627) (tptp.hAPP (tptp.hAPP @t338 @t641) @t9))))) % 54.38/54.68 (assume @p345 (forall @t577 (=> @t633 (= (tptp.hAPP (tptp.hAPP @t338 @t644) @t9) (tptp.hAPP tptp.c_Int_Onat @t632))))) % 54.38/54.68 (assume @p346 (forall @t326 (=> @t264 (=> @t647 (=> @t110 (tptp.hBOOL (tptp.hAPP @t646 @t258))))))) % 54.38/54.68 (assume @p347 (forall @t331 (=> @t264 (=> @t647 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t330) @t258)) @t109))))) % 54.38/54.68 (assume @p348 (forall @t654 (=> @t270 (=> @t653 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t650) @t649)) @t580))))) % 54.38/54.68 (assume @p349 (forall @t658 (=> @t264 (=> @t657 (=> @t263 (=> (tptp.hBOOL (tptp.hAPP @t158 @t645)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t656) @t258)))))))) % 54.38/54.68 (assume @p350 (forall @t658 (=> @t264 (=> @t660 (=> @t433 (=> @t659 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t656) @t258)))))))) % 54.38/54.68 (assume @p351 (forall @t326 (=> @t264 (=> @t433 (=> @t659 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t340) @t645))))))) % 54.38/54.68 (assume @p352 (= @t663 @t662)) % 54.38/54.68 (assume @p353 (forall @t282 (=> (tptp.class_Groups_Oone @t17) (= (= @t651 @t125) @t664)))) % 54.38/54.68 (assume @p354 (forall @t478 (=> @t336 (= (tptp.hAPP @t333 @t663) @t645)))) % 54.38/54.68 (assume @p355 (= @t665 @t661)) % 54.38/54.68 (assume @p356 (= @t661 @t665)) % 54.38/54.68 (assume @p357 (forall @t478 (=> @t624 (= (tptp.hAPP @t621 @t661) @t645)))) % 54.38/54.68 (assume @p358 (= @t662 @t221)) % 54.38/54.68 (assume @p359 (forall @t478 (=> @t666 (not (= @t261 @t645))))) % 54.38/54.68 (assume @p360 (forall @t478 (=> @t666 (not (= @t645 @t261))))) % 54.38/54.68 (assume @p361 (forall @t23 (= (tptp.hAPP tptp.c_Int_Onat @t527) @t9))) % 54.38/54.68 (assume @p362 (forall @t344 (=> @t496 @t667))) % 54.38/54.68 (assume @p363 (forall @t344 (=> @t496 @t668))) % 54.38/54.68 (assume @p364 (forall @t344 (=> @t319 @t667))) % 54.38/54.68 (assume @p365 (forall @t344 (=> @t325 @t667))) % 54.38/54.68 (assume @p366 (forall @t344 (=> @t319 @t668))) % 54.38/54.68 (assume @p367 (forall @t344 (=> @t325 @t668))) % 54.38/54.68 (assume @p368 (forall @t454 (=> @t325 (= (tptp.hAPP @t669 @t9) @t645)))) % 54.38/54.68 (assume @p369 (not (= @t511 @t661))) % 54.38/54.68 (assume @p370 (forall @t78 (=> @t496 (= (tptp.hAPP @t491 @t663) @t28)))) % 54.38/54.68 (assume @p371 (forall @t344 (=> @t325 (= (tptp.hAPP @t257 @t663) @t149)))) % 54.38/54.68 (assume @p372 (forall @t23 (= (tptp.hAPP (tptp.hAPP @t288 @t663) @t9) @t9))) % 54.38/54.68 (assume @p373 (forall @t93 (= (= @t663 @t372) @t672))) % 54.38/54.68 (assume @p374 (forall @t23 (= (tptp.hAPP @t320 @t663) @t9))) % 54.38/54.68 (assume @p375 (forall @t93 (= (= @t372 @t663) @t672))) % 54.38/54.68 (assume @p376 (forall @t587 (= (tptp.hAPP @t607 @t661) @t134))) % 54.38/54.68 (assume @p377 (forall @t587 (= (tptp.hAPP (tptp.hAPP @t514 @t661) @t134) @t134))) % 54.38/54.68 (assume @p378 (forall @t675 (= (tptp.hBOOL (tptp.hAPP @t291 @t674)) (tptp.hBOOL (tptp.hAPP @t673 @t522))))) % 54.38/54.68 (assume @p379 (= @t676 @t56)) % 54.38/54.68 (assume @p380 (= @t56 @t676)) % 54.38/54.68 (assume @p381 (forall (@list @t677 @t522) (=> @t631 (=> (tptp.hBOOL (tptp.hAPP @t528 @t677)) (= (= @t674 @t678) (= @t522 @t677)))))) % 54.38/54.68 (assume @p382 (forall @t575 (=> @t682 (=> @t681 (= (= @t680 @t679) @t177))))) % 54.38/54.68 (assume @p383 (forall @t585 (= @t687 (forall @t7 (=> @t584 @t683))))) % 54.38/54.68 (assume @p384 (forall @t585 (= @t688 (exists @t7 (and @t584 @t683))))) % 54.38/54.68 (assume @p385 (forall @t478 (=> @t264 (tptp.hBOOL (tptp.hAPP @t262 @t645))))) % 54.38/54.68 (assume @p386 (forall @t478 (=> @t264 (not (tptp.hBOOL (tptp.hAPP @t689 @t261)))))) % 54.38/54.68 (assume @p387 (forall @t478 (=> @t264 (tptp.hBOOL (tptp.hAPP @t430 @t645))))) % 54.38/54.68 (assume @p388 (forall @t478 (=> @t264 (not (tptp.hBOOL (tptp.hAPP @t646 @t261)))))) % 54.38/54.68 (assume @p389 (forall @t337 (=> @t264 (=> (tptp.hBOOL (tptp.hAPP @t646 @t58)) (=> (tptp.hBOOL (tptp.hAPP @t646 @t9)) (tptp.hBOOL (tptp.hAPP @t646 (tptp.hAPP (tptp.hAPP @t313 @t58) @t9)))))))) % 54.38/54.68 (assume @p390 (forall @t326 (=> @t264 (=> @t690 (tptp.hBOOL (tptp.hAPP @t689 @t258)))))) % 54.38/54.68 (assume @p391 (forall (@list @t33 @t86 @t36 @t17) (=> @t270 (=> (tptp.hBOOL (tptp.hAPP @t652 @t36)) (= (= (tptp.hAPP @t448 @t86) @t449) @t91))))) % 54.38/54.68 (assume @p392 (forall @t78 (=> @t496 (= (tptp.hAPP @t491 @t56) @t645)))) % 54.38/54.68 (assume @p393 (forall @t344 (=> @t341 (= (tptp.hAPP @t257 @t56) @t645)))) % 54.38/54.68 (assume @p394 (= @t663 @t221)) % 54.38/54.68 (assume @p395 (forall @t65 (=> (= @t58 @t290) (or (= @t9 @t663) @t691)))) % 54.38/54.68 (assume @p396 (tptp.hBOOL (tptp.hAPP @t528 @t661))) % 54.38/54.68 (assume @p397 (tptp.hBOOL (tptp.hAPP @t513 @t661))) % 54.38/54.68 (assume @p398 (forall @t695 (= (= @t694 @t56) @t693))) % 54.38/54.68 (assume @p399 (forall @t587 (=> @t697 @t696))) % 54.38/54.68 (assume @p400 (forall @t699 (= @t698 (and @t595 @t630)))) % 54.38/54.68 (assume @p401 (forall @t526 (=> @t595 @t700))) % 54.38/54.68 (assume @p402 (forall @t575 (=> @t682 (=> @t681 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t680) @t679)) @t702))))) % 54.38/54.68 (assume @p403 (forall @t587 @t705)) % 54.38/54.68 (assume @p404 (forall @t706 (= (= @t535 @t522) (and (= @t86 @t674) @t631)))) % 54.38/54.68 (assume @p405 (forall @t587 (and @t705 (=> (not @t642) (= @t703 @t511))))) % 54.38/54.68 (assume @p406 (forall @t706 (= (tptp.hBOOL (tptp.hAPP @t89 @t674)) (tptp.hBOOL (tptp.hAPP @t557 @t522))))) % 54.38/54.68 (assume @p407 (forall @t121 (=> @t280 (=> @t711 (=> @t710 (=> @t709 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t708) @t28)))))))) % 54.38/54.68 (assume @p408 (forall @t121 (=> @t280 (=> @t711 (=> @t710 (=> @t709 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t508) @t28)))))))) % 54.38/54.68 (assume @p409 (forall @t326 (=> @t264 (=> @t647 (tptp.hBOOL (tptp.hAPP @t259 @t323)))))) % 54.38/54.68 (assume @p410 (forall @t326 (=> @t264 (=> @t647 (tptp.hBOOL (tptp.hAPP @t646 @t323)))))) % 54.38/54.68 (assume @p411 (forall @t454 (=> @t453 (and (=> @t101 (= @t712 @t645)) (=> @t102 (= @t712 @t261)))))) % 54.38/54.68 (assume @p412 (forall @t326 (=> @t264 (=> @t647 (tptp.hBOOL (tptp.hAPP @t646 @t340)))))) % 54.38/54.68 (assume @p413 (forall @t654 (=> @t270 (=> @t653 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t650) @t649)) @t572))))) % 54.38/54.68 (assume @p414 (forall @t331 (=> @t264 (=> @t647 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t330) @t258)) @t64))))) % 54.38/54.68 (assume @p415 (forall @t658 (=> @t264 (=> @t660 (=> @t647 (tptp.hBOOL (tptp.hAPP @t259 @t656))))))) % 54.38/54.68 (assume @p416 (forall @t658 (=> @t264 (=> @t657 (=> @t690 (tptp.hBOOL (tptp.hAPP @t446 @t656))))))) % 54.38/54.68 (assume @p417 (forall @t675 (= (tptp.hBOOL (tptp.hAPP @t713 @t522)) @t595))) % 54.38/54.68 (assume @p418 (= (tptp.hAPP @t509 @t221) @t661)) % 54.38/54.68 (assume @p419 (forall @t93 (=> (tptp.hBOOL (tptp.hAPP @t513 @t86)) (= @t716 @t714)))) % 54.38/54.68 (assume @p420 (forall @t45 (=> @t450 (= @t447 (tptp.c_Power_Opower_Opower @t17 @t651 @t349))))) % 54.38/54.68 (assume @p421 (forall @t675 (= (tptp.hBOOL (tptp.hAPP @t81 @t674)) @t595))) % 54.38/54.68 (assume @p422 (forall @t699 (=> @t639 @t700))) % 54.38/54.68 (assume @p423 (forall @t575 (=> @t682 (=> @t681 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t680) @t679)) @t718))))) % 54.38/54.68 (assume @p424 (forall (@list @t521 @t86) (= (= @t86 @t637) @t719))) % 54.38/54.68 (assume @p425 (forall @t640 (= (= @t637 @t86) @t719))) % 54.38/54.68 (assume @p426 (forall @t699 (=> (or (tptp.hBOOL (tptp.hAPP @t513 @t521)) @t631) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t637) @t674)) @t620)))) % 54.38/54.68 (assume @p427 (forall @t722 (= (tptp.hBOOL (tptp.hAPP @t111 @t694)) (and (forall @t22 (=> (= @t31 @t588) (tptp.hBOOL (tptp.hAPP @t111 @t16)))) (=> (tptp.hBOOL (tptp.hAPP @t721 @t511)) @t720))))) % 54.38/54.68 (assume @p428 (forall @t726 (=> @t642 (= @t725 (tptp.hAPP (tptp.hAPP @t288 @t641) @t724))))) % 54.38/54.68 (assume @p429 (forall @t30 (=> @t633 (=> @t635 (= (tptp.hAPP (tptp.hAPP @t288 @t644) @t727) (tptp.hAPP tptp.c_Int_Onat @t634)))))) % 54.38/54.68 (assume @p430 (forall @t728 (=> @t624 (=> @t642 (= (tptp.hAPP @t333 @t641) @t622))))) % 54.38/54.68 (assume @p431 (forall @t326 (=> @t264 (=> @t433 (=> @t659 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t323) @t258))))))) % 54.38/54.68 (assume @p432 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t528)) % 54.38/54.68 (assume @p433 (forall @t726 (=> @t697 (= @t725 (tptp.hAPP (tptp.hAPP @t288 (tptp.hAPP tptp.c_Int_Onat @t730)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t729 @t723))))))) % 54.38/54.68 (assume @p434 (forall @t739 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t10) (=> @t738 (=> (tptp.hBOOL (tptp.hAPP @t115 @t149)) (=> @t737 (=> @t736 (=> @t735 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t734) @t149)))))))))) % 54.38/54.68 (assume @p435 (forall @t30 (=> @t633 (=> @t635 (= (tptp.hAPP (tptp.hAPP @t740 @t644) @t727) (tptp.hAPP tptp.c_Int_Onat @t636)))))) % 54.38/54.68 (assume @p436 (forall @t344 (=> @t280 (=> @t433 (= @t741 @t645))))) % 54.38/54.68 (assume @p437 (forall @t744 (=> @t593 (= (= @t743 @t651) @t742)))) % 54.38/54.68 (assume @p438 (forall @t587 (=> @t642 (= (tptp.hAPP tptp.c_Nat_OSuc @t641) (tptp.hAPP tptp.c_Int_Onat @t747))))) % 54.38/54.68 (assume @p439 (forall @t121 (=> @t750 (=> (forall @t749 (=> (tptp.hBOOL (tptp.hAPP @t430 @t748)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t748) @t645)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 (tptp.hAPP (tptp.hAPP @t313 @t748) @t28)) @t27))))) @t124)))) % 54.38/54.68 (assume @p440 (forall (@list @t751 @t86) (= (= @t535 @t753) (and (= @t86 (tptp.hAPP tptp.c_Int_Onat @t753)) (tptp.hBOOL (tptp.hAPP @t528 @t753)))))) % 54.38/54.68 (assume @p441 (forall @t23 (tptp.hBOOL (tptp.hAPP @t755 @t511)))) % 54.38/54.68 (assume @p442 (forall @t106 (tptp.hBOOL (tptp.hAPP @t757 @t531)))) % 54.38/54.68 (assume @p443 (forall @t106 (tptp.hBOOL (tptp.hAPP @t755 @t531)))) % 54.38/54.68 (assume @p444 (forall @t587 (= (tptp.hAPP @t758 @t134) @t511))) % 54.38/54.68 (assume @p445 (forall @t766 (= (tptp.hBOOL (tptp.hAPP @t765 @t764)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t762) @t759))))) % 54.38/54.68 (assume @p446 (forall @t65 (=> @t248 @t770))) % 54.38/54.68 (assume @p447 (forall @t411 (=> @t496 (= (tptp.hAPP @t779 @t777) (tptp.hAPP @t775 @t772))))) % 54.38/54.68 (assume @p448 (forall @t162 (=> @t496 (= @t780 (tptp.hAPP @t775 @t153))))) % 54.38/54.68 (assume @p449 (forall @t614 (= (tptp.hAPP (tptp.hAPP @t745 @t782) @t609) (tptp.hAPP @t781 (tptp.hAPP (tptp.hAPP @t745 @t610) @t609))))) % 54.38/54.68 (assume @p450 (forall @t162 (=> @t496 @t784))) % 54.38/54.68 (assume @p451 (forall (@list @t150 @t596 @t731 @t10) (=> @t793 (= (tptp.hAPP @t792 (tptp.hAPP (tptp.hAPP @t789 @t790) @t150)) (tptp.hAPP (tptp.hAPP @t789 @t788) @t150))))) % 54.38/54.68 (assume @p452 (forall @t794 (=> @t793 (= (tptp.hAPP @t792 (tptp.hAPP (tptp.hAPP @t733 @t790) @t134)) (tptp.hAPP (tptp.hAPP @t733 @t788) @t134))))) % 54.38/54.68 (assume @p453 (forall (@list @t596 @t150 @t731 @t10) (=> @t793 (= (tptp.hAPP @t792 (tptp.hAPP (tptp.hAPP @t789 @t150) @t790)) (tptp.hAPP (tptp.hAPP @t733 @t797) @t150))))) % 54.38/54.68 (assume @p454 (forall @t191 (=> @t803 (= @t801 @t177)))) % 54.38/54.68 (assume @p455 (forall @t806 (=> @t793 (= @t805 @t797)))) % 54.38/54.68 (assume @p456 (forall @t810 (= (tptp.hAPP @t809 @t807) (tptp.hAPP @t752 @t786)))) % 54.38/54.68 (assume @p457 (forall @t806 (=> @t793 (= @t811 @t788)))) % 54.38/54.68 (assume @p458 (forall (@list @t125 @t521 @t17) (=> @t813 (= (= @t812 @t125) (= @t125 @t812))))) % 54.38/54.68 (assume @p459 (forall @t815 (=> @t496 (= @t814 (tptp.hAPP @t775 @t407))))) % 54.38/54.68 (assume @p460 (forall @t571 (= (tptp.hAPP @t816 (tptp.hAPP @t817 @t134)) (tptp.hAPP @t817 (tptp.hAPP @t816 @t134))))) % 54.38/54.68 (assume @p461 (forall @t815 (=> @t496 (= @t814 (tptp.hAPP @t776 (tptp.hAPP @t773 @t407)))))) % 54.38/54.68 (assume @p462 (forall @t121 (=> @t823 (= @t822 (tptp.hAPP @t820 @t819))))) % 54.38/54.68 (assume @p463 (forall @t601 (= @t827 @t825))) % 54.38/54.68 (assume @p464 (forall (@list @t150 @t149 @t10) (=> @t496 (= @t774 @t828)))) % 54.38/54.68 (assume @p465 (forall @t806 (=> @t793 (= (tptp.hAPP @t787 (tptp.hAPP (tptp.hAPP @t829 @t731) @t596)) @t805)))) % 54.38/54.68 (assume @p466 (forall @t806 (=> @t793 (= @t788 @t811)))) % 54.38/54.68 (assume @p467 (forall @t601 (= (tptp.hAPP @t729 @t827) (tptp.hAPP @t758 @t795)))) % 54.38/54.68 (assume @p468 (forall @t832 (=> @t793 (= @t831 @t830)))) % 54.38/54.68 (assume @p469 (forall @t604 (= @t833 (tptp.hAPP @t752 @t795)))) % 54.38/54.68 (assume @p470 (forall @t832 (=> @t793 (= @t830 @t831)))) % 54.38/54.68 (assume @p471 (forall @t587 (= (tptp.hAPP @t729 @t730) @t134))) % 54.38/54.68 (assume @p472 (forall @t530 (= (tptp.hAPP @t752 @t239) @t239))) % 54.38/54.68 (assume @p473 (forall @t344 (=> @t835 (= (tptp.hAPP (tptp.hAPP @t789 @t261) @t149) @t834)))) % 54.38/54.68 (assume @p474 (forall @t344 (=> @t835 (= (tptp.hAPP @t773 @t834) @t261)))) % 54.38/54.68 (assume @p475 (forall @t352 (=> @t842 (= @t841 (= @t838 @t268))))) % 54.38/54.68 (assume @p476 (forall @t344 (=> @t835 @t844))) % 54.38/54.68 (assume @p477 (forall @t344 (=> @t845 @t844))) % 54.38/54.68 (assume @p478 (forall @t174 (=> @t835 (=> (= @t778 @t261) (= @t834 @t153))))) % 54.38/54.68 (assume @p479 (forall @t850 (= (tptp.hAPP @t849 @t846) @t768))) % 54.38/54.68 (assume @p480 (forall @t854 (= (tptp.hAPP (tptp.hAPP @t740 @t853) @t852) @t768))) % 54.38/54.68 (assume @p481 (forall @t247 (= @t857 (tptp.hAPP (tptp.hAPP @t740 (tptp.hAPP @t855 @t239)) @t242)))) % 54.38/54.68 (assume @p482 (forall @t247 (= @t857 (tptp.hAPP @t855 @t859)))) % 54.38/54.68 (assume @p483 (forall @t106 (= (tptp.hAPP @t861 @t9) @t58))) % 54.38/54.68 (assume @p484 (forall @t65 (= (tptp.hAPP (tptp.hAPP @t740 @t862) @t9) @t58))) % 54.38/54.68 (assume @p485 (forall @t870 (=> @t869 (=> @t868 (= @t865 @t864))))) % 54.38/54.68 (assume @p486 (forall @t157 (=> @t872 (=> (= @t871 @t828) @t154)))) % 54.38/54.68 (assume @p487 (forall @t162 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t10) @t873))) % 54.38/54.68 (assume @p488 (forall @t162 (=> @t872 @t873))) % 54.38/54.68 (assume @p489 (forall (@list @t55 @t36 @t346 @t17) (=> @t879 (= (= @t878 @t876) @t874)))) % 54.38/54.68 (assume @p490 (forall @t881 (=> @t879 (= (= @t838 @t880) @t874)))) % 54.38/54.68 (assume @p491 (forall @t162 (=> (tptp.class_Groups_Oab__semigroup__add @t10) @t784))) % 54.38/54.68 (assume @p492 (forall @t174 (=> @t835 (= (tptp.hAPP @t882 @t153) @t149)))) % 54.38/54.68 (assume @p493 (forall @t174 (=> @t835 (= (tptp.hAPP (tptp.hAPP @t733 @t884) @t153) @t149)))) % 54.38/54.68 (assume @p494 (forall @t174 (=> @t835 (= (tptp.hAPP @t843 @t778) @t153)))) % 54.38/54.68 (assume @p495 (forall @t352 (=> @t842 (= (= @t885 @t840) @t865)))) % 54.38/54.68 (assume @p496 (forall @t352 (=> @t842 (= (= @t885 @t346) (= @t840 @t36))))) % 54.38/54.68 (assume @p497 (forall @t174 (=> @t835 (= (tptp.hAPP @t773 (tptp.hAPP @t843 @t153)) @t153)))) % 54.38/54.68 (assume @p498 (forall @t352 (=> @t842 (= @t841 (= @t346 @t885))))) % 54.38/54.68 (assume @p499 (forall @t174 (=> @t835 (= (tptp.hAPP @t883 @t886) @t778)))) % 54.38/54.68 (assume @p500 (forall @t174 (=> @t845 @t887))) % 54.38/54.68 (assume @p501 (forall @t174 (=> @t835 @t887))) % 54.38/54.68 (assume @p502 (forall @t174 (=> @t835 (= @t888 (tptp.hAPP (tptp.hAPP @t733 @t886) @t834))))) % 54.38/54.68 (assume @p503 (forall @t174 (=> @t845 (= @t888 (tptp.hAPP @t843 @t886))))) % 54.38/54.68 (assume @p504 (forall @t174 (=> @t845 (= (tptp.hAPP @t818 @t884) @t890)))) % 54.38/54.68 (assume @p505 (forall @t344 (=> @t280 (= (tptp.c_Groups_Osgn__class_Osgn @t10 @t741) @t741)))) % 54.38/54.68 (assume @p506 (forall @t344 (=> @t835 (= (tptp.hAPP @t818 @t834) @t149)))) % 54.38/54.68 (assume @p507 (forall @t106 (= (tptp.hAPP @t891 @t860) @t56))) % 54.38/54.68 (assume @p508 (forall @t898 (=> @t897 (= @t896 (= @t55 @t893))))) % 54.38/54.68 (assume @p509 (forall @t898 (=> @t897 (= @t896 (= @t899 @t863))))) % 54.38/54.68 (assume @p510 (forall @t904 (=> @t903 (= (tptp.hAPP (tptp.hAPP @t349 (tptp.hAPP (tptp.hAPP @t866 @t149) @t153)) @t900) (tptp.hAPP (tptp.hAPP @t866 @t902) @t901))))) % 54.38/54.68 (assume @p511 (forall @t904 (=> @t905 (= (tptp.hAPP (tptp.hAPP @t349 (tptp.hAPP (tptp.hAPP @t836 @t149) @t153)) @t900) (tptp.hAPP (tptp.hAPP @t836 @t902) @t901))))) % 54.38/54.68 (assume @p512 (forall @t625 (=> @t793 (= (tptp.hAPP (tptp.hAPP @t313 @t830) @t134) (tptp.hAPP (tptp.hAPP @t313 @t831) @t134))))) % 54.38/54.68 (assume @p513 (forall @t909 (=> @t903 (= (tptp.hAPP @t906 (tptp.hAPP (tptp.hAPP @t866 @t153) @t150)) (tptp.hAPP (tptp.hAPP @t866 @t908) @t907))))) % 54.38/54.68 (assume @p514 (forall @t909 (=> @t905 (= (tptp.hAPP @t906 (tptp.hAPP (tptp.hAPP @t836 @t153) @t150)) (tptp.hAPP (tptp.hAPP @t836 @t908) @t907))))) % 54.38/54.68 (assume @p515 (forall @t915 (=> @t914 (= (tptp.hAPP @t855 @t913) (tptp.hAPP (tptp.hAPP @t740 @t911) @t242))))) % 54.38/54.68 (assume @p516 (forall (@list @t31 @t359 @t759) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t764) @t31)) (tptp.hBOOL (tptp.hAPP @t916 @t762))))) % 54.38/54.68 (assume @p517 (forall @t918 (=> @t917 (tptp.hBOOL (tptp.hAPP @t108 (tptp.hAPP @t861 @t239)))))) % 54.38/54.68 (assume @p518 (forall @t106 (=> @t296 @t770))) % 54.38/54.68 (assume @p519 (forall @t915 (=> @t914 (= @t921 @t920)))) % 54.38/54.68 (assume @p520 (forall (@list @t31 @t759 @t359) (=> (tptp.hBOOL (tptp.hAPP @t923 @t759)) (= (tptp.hBOOL (tptp.hAPP @t922 @t764)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t762) @t759)))))) % 54.38/54.68 (assume @p521 (forall @t106 (=> @t296 (= (tptp.hAPP (tptp.hAPP @t760 @t768) @t9) @t58)))) % 54.38/54.68 (assume @p522 (forall @t766 (=> @t926 (= (= @t925 @t359) (= @t759 (tptp.hAPP @t924 @t31)))))) % 54.38/54.68 (assume @p523 (forall @t915 (=> @t914 (= @t920 @t921)))) % 54.38/54.68 (assume @p524 (forall @t915 (=> @t914 (= @t929 @t928)))) % 54.38/54.68 (assume @p525 (forall @t915 (=> @t914 (= @t928 @t929)))) % 54.38/54.68 (assume @p526 (forall @t337 (=> @t336 (= (tptp.hAPP @t333 @t862) (tptp.hAPP (tptp.hAPP @t733 @t335) @t334))))) % 54.38/54.68 (assume @p527 (forall @t625 (=> @t624 (= (tptp.hAPP @t621 (tptp.hAPP (tptp.hAPP @t829 @t596) @t134)) (tptp.hAPP (tptp.hAPP @t789 @t623) @t622))))) % 54.38/54.68 (assume @p528 (forall @t30 (= (tptp.hAPP (tptp.hAPP @t745 @t576) @t579) (tptp.hAPP @t509 (tptp.hAPP @t930 @t27))))) % 54.38/54.68 (assume @p529 (forall (@list @t134 @t9 @t58) (= (tptp.hAPP @t932 (tptp.hAPP (tptp.hAPP @t745 @t527) @t134)) (tptp.hAPP (tptp.hAPP @t745 @t931) @t134)))) % 54.38/54.68 (assume @p530 (forall @t65 (= (tptp.hAPP @t932 @t527) @t931))) % 54.38/54.68 (assume @p531 (forall @t728 (=> @t624 (= (tptp.hAPP @t621 @t730) (tptp.hAPP @t818 @t622))))) % 54.38/54.68 (assume @p532 (forall @t933 (=> @t793 (= (tptp.hAPP @t621 @t808) @t791)))) % 54.38/54.68 (assume @p533 (forall @t625 (=> @t624 (= (tptp.hAPP @t621 @t825) (tptp.hAPP (tptp.hAPP @t733 @t623) @t622))))) % 54.38/54.68 (assume @p534 (forall @t898 (=> @t935 (= @t934 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t899) @t863)))))) % 54.38/54.68 (assume @p535 (forall @t898 (=> @t935 (= @t934 (tptp.hBOOL (tptp.hAPP @t936 @t893)))))) % 54.38/54.68 (assume @p536 (forall @t898 (=> @t935 (= @t937 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t899) @t863)))))) % 54.38/54.68 (assume @p537 (forall @t898 (=> @t935 (= @t937 (tptp.hBOOL (tptp.hAPP @t414 @t893)))))) % 54.38/54.68 (assume @p538 (forall (@list @t58 @t9 @t10) (=> @t624 (=> @t296 (= (tptp.hAPP @t333 @t768) (tptp.hAPP (tptp.hAPP @t789 @t335) @t334)))))) % 54.38/54.68 (assume @p539 (forall @t65 (and (=> @t691 (= @t862 @t9)) (=> @t939 (= @t862 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t760 @t938) @t9))))))) % 54.38/54.68 (assume @p540 (forall @t947 (= @t946 (and (=> @t945 @t720) (forall @t944 (=> @t943 @t942)))))) % 54.38/54.68 (assume @p541 (forall @t947 (= @t946 (not (or (and @t945 @t948) (exists @t944 (and @t943 (not @t942)))))))) % 54.38/54.68 (assume @p542 (forall @t951 (=> @t914 (= (tptp.hAPP (tptp.hAPP @t740 @t950) @t58) (tptp.hAPP (tptp.hAPP @t740 @t949) @t853))))) % 54.38/54.68 (assume @p543 (forall @t951 (=> @t914 (= (tptp.hAPP @t767 @t950) (tptp.hAPP @t849 @t949))))) % 54.38/54.68 (assume @p544 (forall @t65 (and (=> @t691 (= @t290 @t56)) (=> @t939 (= @t290 (tptp.hAPP @t769 (tptp.hAPP (tptp.hAPP @t288 @t938) @t9))))))) % 54.38/54.68 (assume @p545 (forall @t958 (=> @t957 (= @t956 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t953) @t33)))))) % 54.38/54.68 (assume @p546 (forall (@list @t9 @t58 @t732 @t240 @t242) (=> @t962 (= @t961 (tptp.hAPP (tptp.hAPP @t740 (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP (tptp.hAPP @t288 @t856) @t732)) @t58)) @t9))))) % 54.38/54.68 (assume @p547 (forall @t958 (=> @t957 (= @t963 (= @t953 @t33))))) % 54.38/54.68 (assume @p548 (forall @t965 (=> @t926 (= @t956 (tptp.hBOOL (tptp.hAPP @t95 @t964)))))) % 54.38/54.68 (assume @p549 (forall (@list @t9 @t58 @t732 @t242 @t240) (=> @t303 (= @t961 (tptp.hAPP @t767 (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP (tptp.hAPP @t288 @t966) @t732)) @t9)))))) % 54.38/54.68 (assume @p550 (forall @t965 (=> @t926 (= @t963 (= @t86 @t964))))) % 54.38/54.68 (assume @p551 (forall @t870 (=> @t968 (=> @t868 (= @t455 @t967))))) % 54.38/54.68 (assume @p552 (forall @t344 (=> @t835 (= (tptp.hAPP @t883 @t261) @t149)))) % 54.38/54.68 (assume @p553 (forall @t344 (=> @t835 (= (tptp.hAPP @t883 @t149) @t261)))) % 54.38/54.68 (assume @p554 (forall @t352 (=> @t869 (= @t865 @t969)))) % 54.38/54.68 (assume @p555 (forall @t352 (=> @t842 (= @t969 @t865)))) % 54.38/54.68 (assume @p556 (forall @t870 (=> @t968 (=> @t868 (= @t417 @t970))))) % 54.38/54.68 (assume @p557 (forall @t352 (=> @t968 (= (tptp.hBOOL (tptp.hAPP @t381 @t840)) (tptp.hBOOL (tptp.hAPP @t379 @t885)))))) % 54.38/54.68 (assume @p558 (forall @t352 (=> @t968 (= @t973 (tptp.hBOOL (tptp.hAPP @t971 @t36)))))) % 54.38/54.68 (assume @p559 (forall @t974 (=> @t968 (= (tptp.hBOOL (tptp.hAPP @t971 @t885)) @t455)))) % 54.38/54.68 (assume @p560 (forall @t174 (=> @t975 (=> @t160 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t886) @t834)))))) % 54.38/54.68 (assume @p561 (forall @t478 (=> @t835 (= (tptp.hAPP @t818 @t261) @t261)))) % 54.38/54.68 (assume @p562 (forall @t744 (=> @t842 (= (= @t268 @t885) (= @t268 @t36))))) % 54.38/54.68 (assume @p563 (forall @t744 (=> @t976 (= (= @t36 @t885) @t348)))) % 54.38/54.68 (assume @p564 (forall @t744 (=> @t842 (= (= @t885 @t268) @t348)))) % 54.38/54.68 (assume @p565 (forall @t744 (=> @t976 (= (= @t885 @t36) @t348)))) % 54.38/54.68 (assume @p566 (forall @t352 (=> @t968 (= (tptp.hBOOL (tptp.hAPP @t416 @t840)) (tptp.hBOOL (tptp.hAPP @t412 @t885)))))) % 54.38/54.68 (assume @p567 (forall @t352 (=> @t968 (= @t979 (tptp.hBOOL (tptp.hAPP @t977 @t36)))))) % 54.38/54.68 (assume @p568 (forall @t974 (=> @t968 (= (tptp.hBOOL (tptp.hAPP @t977 @t885)) @t417)))) % 54.38/54.68 (assume @p569 (forall @t174 (=> @t982 (= @t981 @t980)))) % 54.38/54.68 (assume @p570 (forall @t174 (=> @t982 (= @t981 @t984)))) % 54.38/54.68 (assume @p571 (forall @t174 (=> @t982 (= @t984 @t980)))) % 54.38/54.68 (assume @p572 (forall @t174 (=> @t982 (= (tptp.hAPP @t983 @t886) @t317)))) % 54.38/54.68 (assume @p573 (forall @t352 (=> @t985 (= (= (tptp.hAPP @t350 @t36) (tptp.hAPP @t420 @t346)) (or @t865 @t841))))) % 54.38/54.68 (assume @p574 (forall @t424 (=> @t987 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t880) @t986)) @t455)))) % 54.38/54.68 (assume @p575 (forall @t429 (=> @t987 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t876) @t988)) @t455)))) % 54.38/54.68 (assume @p576 (forall @t162 (=> @t991 (=> @t160 @t990)))) % 54.38/54.68 (assume @p577 (forall @t162 (=> @t991 (=> @t160 @t993)))) % 54.38/54.68 (assume @p578 (forall @t411 (=> @t991 (=> @t160 (=> @t410 (tptp.hBOOL (tptp.hAPP @t989 @t772))))))) % 54.38/54.68 (assume @p579 (forall @t464 (=> @t994 (=> @t990 @t160)))) % 54.38/54.68 (assume @p580 (forall @t466 (=> @t994 (=> @t993 @t160)))) % 54.38/54.68 (assume @p581 (forall @t344 (=> @t997 @t996))) % 54.38/54.68 (assume @p582 (forall @t344 (=> @t998 @t996))) % 54.38/54.68 (assume @p583 (forall @t744 (=> @t976 (= (= @t268 @t999) @t348)))) % 54.38/54.68 (assume @p584 (forall @t344 (=> @t997 @t1000))) % 54.38/54.68 (assume @p585 (forall @t344 (=> @t998 @t1000))) % 54.38/54.68 (assume @p586 (forall @t344 (=> @t496 @t996))) % 54.38/54.68 (assume @p587 (forall @t344 (=> @t496 @t1000))) % 54.38/54.68 (assume @p588 (forall @t974 (=> @t1001 (= (= @t346 @t878) @t348)))) % 54.38/54.68 (assume @p589 (forall @t744 (=> @t976 @t1002))) % 54.38/54.68 (assume @p590 (forall @t424 (=> @t987 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t880) @t986)) @t417)))) % 54.38/54.68 (assume @p591 (forall @t429 (=> @t987 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t876) @t988)) @t417)))) % 54.38/54.68 (assume @p592 (forall @t162 (=> @t1005 (=> @t169 @t1004)))) % 54.38/54.68 (assume @p593 (forall @t162 (=> @t1005 (=> @t169 @t1006)))) % 54.38/54.68 (assume @p594 (forall @t411 (=> @t1005 (=> @t169 @t1008)))) % 54.38/54.68 (assume @p595 (forall @t464 (=> @t994 (=> @t1004 @t169)))) % 54.38/54.68 (assume @p596 (forall @t466 (=> @t994 (=> @t1006 @t169)))) % 54.38/54.68 (assume @p597 (forall @t162 (=> (tptp.class_Rings_Ocomm__semiring @t10) @t1010))) % 54.38/54.68 (assume @p598 (forall (@list @t150 @t153 @t1011 @t149 @t10) (=> (tptp.class_Rings_Osemiring @t10) (= (tptp.hAPP (tptp.hAPP @t733 (tptp.hAPP @t316 @t1011)) (tptp.hAPP (tptp.hAPP @t733 (tptp.hAPP @t314 @t1011)) @t150)) (tptp.hAPP (tptp.hAPP @t733 (tptp.hAPP @t1009 @t1011)) @t150))))) % 54.38/54.68 (assume @p599 (forall @t146 (=> @t496 (= (tptp.hAPP @t493 @t1014) (tptp.hAPP (tptp.hAPP @t733 @t508) @t1012))))) % 54.38/54.68 (assume @p600 (forall @t870 (=> @t1001 (= (and @t1016 (not @t864)) (not (= (tptp.hAPP (tptp.hAPP @t836 @t422) (tptp.hAPP @t420 @t863)) (tptp.hAPP (tptp.hAPP @t836 @t1015) @t421))))))) % 54.38/54.68 (assume @p601 (forall @t162 (=> @t496 @t1010))) % 54.38/54.68 (assume @p602 (forall (@list @t153 @t58 @t149 @t10) (=> @t496 (= (tptp.hAPP @t1018 (tptp.hAPP @t314 @t58)) (tptp.hAPP @t1009 @t58))))) % 54.38/54.68 (assume @p603 (forall (@list @t522 @t125 @t176 @t521 @t17) (=> @t1001 (= (= (tptp.hAPP (tptp.hAPP @t836 @t1023) @t1022) (tptp.hAPP (tptp.hAPP @t836 (tptp.hAPP @t1021 @t522)) (tptp.hAPP @t1020 @t176))) (or (= @t521 @t125) @t1019))))) % 54.38/54.68 (assume @p604 (forall @t65 (=> @t1025 (=> (= @t1024 @t56) @t103)))) % 54.38/54.68 (assume @p605 (forall @t73 (= (tptp.hAPP @t767 @t58) @t56))) % 54.38/54.68 (assume @p606 (forall @t73 (= (tptp.hAPP @t767 @t56) @t58))) % 54.38/54.68 (assume @p607 (forall @t23 (= (tptp.hAPP (tptp.hAPP @t740 @t56) @t9) @t56))) % 54.38/54.68 (assume @p608 (= (tptp.hAPP @t729 @t511) @t511)) % 54.38/54.68 (assume @p609 (forall @t322 (= (tptp.hAPP (tptp.hAPP @t740 @t1027) (tptp.hAPP tptp.c_Nat_OSuc @t239)) (tptp.hAPP (tptp.hAPP @t740 @t768) @t239)))) % 54.38/54.68 (assume @p610 (forall @t65 (= (tptp.hAPP @t1026 @t12) @t768))) % 54.38/54.68 (assume @p611 (forall @t65 (= (tptp.hAPP @t767 @t12) (tptp.hAPP (tptp.hAPP @t740 @t938) @t9)))) % 54.38/54.68 (assume @p612 (forall @t23 (= (tptp.hAPP (tptp.hAPP @t740 @t12) @t663) @t9))) % 54.38/54.68 (assume @p613 (forall @t1031 (=> @t64 (=> (tptp.hBOOL (tptp.hAPP @t63 @t308)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t1030) @t1029)))))) % 54.38/54.68 (assume @p614 (forall (@list @t9 @t239 @t242) (=> @t244 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t912 @t9)) @t239))))) % 54.38/54.68 (assume @p615 (forall @t1037 (and (=> @t1035 (= @t1033 @t511)) (=> @t1036 (and (=> @t1034 (= @t1033 @t661)) (=> (not @t1034) (= @t1033 @t1032))))))) % 54.38/54.68 (assume @p616 (forall @t65 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t768) @t58)))) % 54.38/54.68 (assume @p617 (forall @t1031 (=> @t109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t1030) @t1029))))) % 54.38/54.68 (assume @p618 (forall @t1031 (=> @t109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t767 @t308)) (tptp.hAPP @t891 @t308)))))) % 54.38/54.68 (assume @p619 (forall @t472 (=> (tptp.hBOOL (tptp.hAPP @t302 @t9)) (= (tptp.hAPP @t891 @t1038) @t240)))) % 54.38/54.68 (assume @p620 (forall @t371 (=> @t1044 (=> @t1043 (= (= @t1042 @t1040) @t91))))) % 54.38/54.68 (assume @p621 (forall @t854 (=> (tptp.hBOOL (tptp.hAPP @t309 @t58)) (=> @t917 (= (tptp.hAPP (tptp.hAPP @t740 (tptp.hAPP @t767 @t239)) (tptp.hAPP @t891 @t239)) @t768))))) % 54.38/54.68 (assume @p622 (forall @t371 (=> @t1044 (=> @t1043 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t1042) @t1040)) @t96))))) % 54.38/54.68 (assume @p623 (forall @t1050 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1049) @t1048)) @t1047))) % 54.38/54.68 (assume @p624 (forall @t587 (= (tptp.hAPP (tptp.hAPP @t745 @t511) @t134) @t134))) % 54.38/54.68 (assume @p625 (forall @t587 (= (tptp.hAPP @t826 @t511) @t134))) % 54.38/54.68 (assume @p626 (forall @t587 (not (= (tptp.hAPP (tptp.hAPP @t745 @t747) @t134) @t511)))) % 54.38/54.68 (assume @p627 (forall @t65 (=> (= @t862 @t58) @t101))) % 54.38/54.68 (assume @p628 (forall @t93 (= (= @t1052 @t56) (and @t220 @t83)))) % 54.38/54.68 (assume @p629 (forall @t73 (= (tptp.hAPP @t847 @t56) @t58))) % 54.38/54.68 (assume @p630 (forall @t23 (= (tptp.hAPP (tptp.hAPP @t760 @t56) @t9) @t9))) % 54.38/54.68 (assume @p631 (forall @t1050 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1049) @t1048)) @t1054))) % 54.38/54.68 (assume @p632 (forall @t322 (= (tptp.hAPP (tptp.hAPP @t288 @t768) @t239) (tptp.hAPP (tptp.hAPP @t740 @t1055) @t321)))) % 54.38/54.68 (assume @p633 (forall @t854 (= (tptp.hAPP @t304 @t768) (tptp.hAPP (tptp.hAPP @t740 @t1057) @t1056)))) % 54.38/54.68 (assume @p634 (forall @t65 (= @t1059 @t1058))) % 54.38/54.68 (assume @p635 (forall @t65 (= @t1059 @t1060))) % 54.38/54.68 (assume @p636 (forall @t65 (= @t1058 @t1060))) % 54.38/54.68 (assume @p637 (forall @t23 (= @t12 @t1062))) % 54.38/54.68 (assume @p638 (forall @t23 (= @t12 @t1063))) % 54.38/54.68 (assume @p639 (forall @t601 (= (tptp.hAPP (tptp.hAPP @t514 @t730) @t596) (tptp.hAPP @t729 @t608)))) % 54.38/54.68 (assume @p640 (forall @t571 (=> @t99 @t1066))) % 54.38/54.68 (assume @p641 (forall @t1067 (=> (tptp.hBOOL (tptp.hAPP @t98 @t134)) @t1066))) % 54.38/54.68 (assume @p642 (forall @t247 (=> (tptp.hBOOL (tptp.hAPP @t1068 @t239)) (tptp.hBOOL (tptp.hAPP @t245 @t239))))) % 54.38/54.68 (assume @p643 (forall (@list @t9 @t58 @t308 @t239) (=> @t1070 (=> (= (tptp.hAPP @t847 @t308) @t852) @t64)))) % 54.38/54.68 (assume @p644 (forall @t311 (=> @t246 (=> @t1070 (tptp.hBOOL (tptp.hAPP @t1072 @t1071)))))) % 54.38/54.68 (assume @p645 (forall @t247 (=> @t246 (tptp.hBOOL (tptp.hAPP @t1072 @t859))))) % 54.38/54.68 (assume @p646 (forall @t1074 (=> @t246 (tptp.hBOOL (tptp.hAPP @t245 @t1073))))) % 54.38/54.68 (assume @p647 (forall @t1074 (=> @t246 (tptp.hBOOL (tptp.hAPP @t245 @t1075))))) % 54.38/54.68 (assume @p648 (forall @t371 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t1077) @t1076)) @t90))) % 54.38/54.68 (assume @p649 (forall @t1078 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t927) @t240))))) % 54.38/54.68 (assume @p650 (forall @t1079 (not (tptp.hBOOL (tptp.hAPP @t1068 @t240))))) % 54.38/54.68 (assume @p651 (forall @t247 (=> @t603 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 (tptp.hAPP @t1080 @t240)) (tptp.hAPP @t1080 @t242)))))) % 54.38/54.68 (assume @p652 (forall @t247 (=> @t518 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP @t1081 @t239)) (tptp.hAPP (tptp.hAPP @t745 @t242) @t239)))))) % 54.38/54.68 (assume @p653 (forall @t699 (= @t1082 (or @t630 @t615)))) % 54.38/54.68 (assume @p654 (forall @t106 (tptp.hBOOL (tptp.hAPP @t294 @t862)))) % 54.38/54.68 (assume @p655 (forall @t106 (tptp.hBOOL (tptp.hAPP @t294 @t860)))) % 54.38/54.68 (assume @p656 (forall @t93 (= @t96 (exists @t1085 (= @t33 @t1084))))) % 54.38/54.68 (assume @p657 (forall @t371 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t1077) @t1076)) @t96))) % 54.38/54.68 (assume @p658 (forall @t1074 (=> @t303 (tptp.hBOOL (tptp.hAPP @t302 @t1075))))) % 54.38/54.68 (assume @p659 (forall @t1074 (=> @t303 (tptp.hBOOL (tptp.hAPP @t302 @t1073))))) % 54.38/54.68 (assume @p660 (forall @t247 (=> @t303 (tptp.hBOOL (tptp.hAPP @t1086 @t859))))) % 54.38/54.68 (assume @p661 (forall @t311 (=> @t303 (=> @t310 (tptp.hBOOL (tptp.hAPP @t1086 @t1071)))))) % 54.38/54.68 (assume @p662 (forall @t850 (=> @t1087 @t917))) % 54.38/54.68 (assume @p663 (forall @t850 (=> @t1087 @t109))) % 54.38/54.68 (assume @p664 (forall @t850 (=> @t1087 (not (=> @t109 (not @t917)))))) % 54.38/54.68 (assume @p665 (forall @t1067 (=> (tptp.hBOOL (tptp.hAPP @t278 @t134)) @t1088))) % 54.38/54.68 (assume @p666 (forall @t571 (=> @t279 @t1088))) % 54.38/54.68 (assume @p667 (forall @t810 (= (tptp.hAPP (tptp.hAPP @t514 @t808) @t807) (tptp.hAPP @t752 @t1090)))) % 54.38/54.68 (assume @p668 (forall @t322 (= (tptp.hAPP (tptp.hAPP @t288 @t862) @t239) (tptp.hAPP (tptp.hAPP @t760 @t1055) @t321)))) % 54.38/54.68 (assume @p669 (forall @t854 (= (tptp.hAPP @t304 @t862) (tptp.hAPP (tptp.hAPP @t760 @t1057) @t1056)))) % 54.38/54.68 (assume @p670 (forall (@list @t239 @t242 @t732 @t240) (= (tptp.hAPP @t960 (tptp.hAPP @t959 @t239)) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP (tptp.hAPP @t288 @t919) @t732)) @t239)))) % 54.38/54.68 (assume @p671 (forall @t933 (=> @t793 (and (=> @t1095 @t1096) (=> (not @t1095) @t1094))))) % 54.38/54.68 (assume @p672 (forall @t1099 (= (tptp.hAPP @t605 @t782) (tptp.hAPP (tptp.hAPP @t745 @t1098) @t1097)))) % 54.38/54.68 (assume @p673 (forall @t1102 (= (tptp.hAPP (tptp.hAPP @t514 @t782) @t596) (tptp.hAPP (tptp.hAPP @t745 @t1101) @t1100)))) % 54.38/54.68 (assume @p674 (forall @t1105 (=> @t793 (= @t1104 @t1103)))) % 54.38/54.68 (assume @p675 (forall @t958 (=> @t957 (= @t1106 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t953) @t33)))))) % 54.38/54.68 (assume @p676 (forall @t965 (=> @t926 (= @t1106 (tptp.hBOOL (tptp.hAPP @t89 @t964)))))) % 54.38/54.68 (assume @p677 (forall @t30 (=> @t633 (=> @t635 (= (tptp.hAPP (tptp.hAPP @t760 @t644) @t727) (tptp.hAPP tptp.c_Int_Onat @t1107)))))) % 54.38/54.68 (assume @p678 (forall @t726 (=> @t642 (=> @t1108 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t826 @t723)) (tptp.hAPP (tptp.hAPP @t760 @t641) @t724)))))) % 54.38/54.68 (assume @p679 (forall @t78 (=> @t1113 (and (=> @t1112 (= @t1110 @t261)) (=> (not @t1112) (and (=> @t1111 (= @t1110 @t645)) (=> (not @t1111) (= @t1110 @t1109)))))))) % 54.38/54.68 (assume @p680 (forall @t744 (=> @t593 (= (= @t743 @t1115) @t1114)))) % 54.38/54.68 (assume @p681 (forall @t344 (=> @t280 (=> @t438 (= @t741 @t1109))))) % 54.38/54.68 (assume @p682 (forall @t478 (=> @t1113 (= (tptp.c_Groups_Osgn__class_Osgn @t10 @t261) @t261)))) % 54.38/54.68 (assume @p683 (forall @t744 (=> @t593 (= (= @t743 @t268) @t348)))) % 54.38/54.68 (assume @p684 (forall @t174 (=> @t280 (= (tptp.c_Groups_Osgn__class_Osgn @t10 @t317) (tptp.hAPP (tptp.hAPP @t313 @t741) (tptp.c_Groups_Osgn__class_Osgn @t10 @t153)))))) % 54.38/54.68 (assume @p685 (forall @t352 (=> @t968 (= @t455 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t867) @t268)))))) % 54.38/54.68 (assume @p686 (forall @t352 (=> @t968 (= @t417 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t867) @t268)))))) % 54.38/54.68 (assume @p687 (forall @t744 (=> @t968 (= (tptp.hBOOL (tptp.hAPP @t383 @t885)) @t382)))) % 54.38/54.68 (assume @p688 (forall @t744 (=> @t976 (= (tptp.hBOOL (tptp.hAPP @t381 @t885)) @t382)))) % 54.38/54.68 (assume @p689 (forall @t744 (=> @t968 (= (tptp.hBOOL (tptp.hAPP @t972 @t268)) @t385)))) % 54.38/54.68 (assume @p690 (forall @t744 (=> @t976 (= (tptp.hBOOL (tptp.hAPP @t972 @t36)) @t385)))) % 54.38/54.68 (assume @p691 (forall @t744 (=> @t968 (= (tptp.hBOOL (tptp.hAPP @t269 @t885)) @t1114)))) % 54.38/54.68 (assume @p692 (forall @t744 (=> @t593 (= (tptp.hBOOL (tptp.hAPP @t416 @t885)) @t1114)))) % 54.38/54.68 (assume @p693 (forall @t744 (=> @t968 (= (tptp.hBOOL (tptp.hAPP @t978 @t268)) @t742)))) % 54.38/54.68 (assume @p694 (forall @t744 (=> @t976 (= (tptp.hBOOL (tptp.hAPP @t978 @t36)) @t742)))) % 54.38/54.68 (assume @p695 (forall @t604 (= @t807 (tptp.hAPP @t626 @t596)))) % 54.38/54.68 (assume @p696 (forall @t1118 (=> (and @t813 @t190) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t1116) @t812)) (not (tptp.hBOOL (tptp.hAPP @t1117 @t1116))))))) % 54.38/54.68 (assume @p697 (forall @t282 (=> @t1120 (= (= @t1119 @t651) (or @t664 (= @t125 @t1115)))))) % 54.38/54.68 (assume @p698 (forall @t78 (=> @t823 (= @t1121 (tptp.hAPP (tptp.hAPP @t313 @t1109) @t28))))) % 54.38/54.68 (assume @p699 (forall @t744 (=> @t976 (= (tptp.hBOOL (tptp.hAPP @t383 @t999)) @t385)))) % 54.38/54.68 (assume @p700 (forall @t744 (=> @t976 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t999) @t268)) @t382)))) % 54.38/54.68 (assume @p701 (forall @t174 (=> @t1122 (=> @t263 (=> @t276 (tptp.hBOOL (tptp.hAPP @t262 @t778))))))) % 54.38/54.68 (assume @p702 (forall @t191 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t17) (=> (tptp.hBOOL (tptp.hAPP @t383 @t125)) (=> (tptp.hBOOL (tptp.hAPP @t383 @t176)) (= (= @t1126 @t268) @t1124)))))) % 54.38/54.68 (assume @p703 (forall @t162 (=> @t1122 (=> @t263 (=> @t171 @t1127))))) % 54.38/54.68 (assume @p704 (forall @t1128 (=> @t1122 (=> @t399 (=> @t156 @t1127))))) % 54.38/54.68 (assume @p705 (forall @t174 (=> @t1122 (=> @t394 (=> @t392 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t778) @t261))))))) % 54.38/54.68 (assume @p706 (forall @t191 (=> @t1130 (= (tptp.hBOOL (tptp.hAPP @t1129 @t799)) @t702)))) % 54.38/54.68 (assume @p707 (forall @t411 (=> @t1005 (=> @t169 (=> @t410 @t1007))))) % 54.38/54.68 (assume @p708 (forall @t411 (=> @t1005 (=> @t160 @t1008)))) % 54.38/54.68 (assume @p709 (forall @t744 (=> @t976 (= (tptp.hBOOL (tptp.hAPP @t269 @t999)) @t742)))) % 54.38/54.68 (assume @p710 (forall @t744 (=> @t976 @t1131))) % 54.38/54.68 (assume @p711 (forall @t174 (=> @t1122 (=> @t433 @t1133)))) % 54.38/54.68 (assume @p712 (forall @t162 (=> @t264 (=> @t433 @t1135)))) % 54.38/54.68 (assume @p713 (forall @t174 (=> @t1122 (=> @t438 @t1137)))) % 54.38/54.68 (assume @p714 (forall @t744 (=> @t593 @t1131))) % 54.38/54.68 (assume @p715 (forall @t191 (=> @t1130 (= (tptp.hBOOL (tptp.hAPP @t1138 @t799)) @t718)))) % 54.38/54.68 (assume @p716 (forall @t191 (=> @t387 (= (= @t1139 @t268) @t1124)))) % 54.38/54.68 (assume @p717 (forall (@list @t407 @t150 @t153 @t149 @t1140 @t10) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t10) (=> (not (= @t1140 @t261)) (=> (and @t170 (not (= @t150 @t407))) (not (= (tptp.hAPP @t773 (tptp.hAPP @t1141 @t150)) (tptp.hAPP @t771 (tptp.hAPP @t1141 @t407))))))))) % 54.38/54.68 (assume @p718 (forall @t344 (=> @t264 (tptp.hBOOL (tptp.hAPP @t167 @t1142))))) % 54.38/54.68 (assume @p719 (forall @t806 (=> @t793 (= @t1145 @t1144)))) % 54.38/54.68 (assume @p720 (forall @t806 (=> @t793 (= @t1144 @t1145)))) % 54.38/54.68 (assume @p721 (forall @t794 (=> @t793 (= (tptp.hAPP @t1143 (tptp.hAPP (tptp.hAPP @t313 @t790) @t134)) (tptp.hAPP (tptp.hAPP @t313 @t1145) @t134))))) % 54.38/54.68 (assume @p722 (forall @t476 (=> @t496 (= (tptp.hAPP @t1149 @t58) (tptp.hAPP @t1148 @t58))))) % 54.38/54.68 (assume @p723 (forall (@list @t149 @t58 @t10) (=> @t496 (= (tptp.hAPP @t1149 @t1017) @t1150)))) % 54.38/54.68 (assume @p724 (forall (@list @t58 @t149 @t10) (=> @t496 (= (tptp.hAPP @t1018 @t58) @t1150)))) % 54.38/54.68 (assume @p725 (forall @t106 (=> @t110 (=> @t1152 (tptp.hBOOL (tptp.hAPP @t1151 @t58)))))) % 54.38/54.68 (assume @p726 (forall @t216 (= (tptp.hBOOL (tptp.hAPP @t81 @t1153)) @t90))) % 54.38/54.68 (assume @p727 (forall @t65 (tptp.hBOOL (tptp.hAPP @t1151 @t59)))) % 54.38/54.68 (assume @p728 (forall @t65 (=> @t109 @t1025))) % 54.38/54.68 (assume @p729 (forall @t93 (= (= @t1154 @t56) @t96))) % 54.38/54.68 (assume @p730 (forall @t106 (=> @t296 (= @t1027 (tptp.hAPP tptp.c_Nat_OSuc @t768))))) % 54.38/54.68 (assume @p731 (forall @t371 (=> @t1044 (=> @t1043 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t1042) @t1040)) @t90))))) % 54.38/54.68 (assume @p732 (forall @t1155 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t149) @t153)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t150) @t149)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t740 @t149) @t150)) (tptp.hAPP (tptp.hAPP @t740 @t153) @t150))))))) % 54.38/54.68 (assume @p733 (forall @t216 (= (= (tptp.hAPP @t729 @t510) @t535) @t1156))) % 54.38/54.68 (assume @p734 (forall @t106 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t527) (tptp.hAPP @t729 @t531)))))) % 54.38/54.68 (assume @p735 (forall @t93 (= (= @t221 @t1052) @t1157))) % 54.38/54.68 (assume @p736 (forall @t93 (= (= @t1052 @t221) @t1157))) % 54.38/54.68 (assume @p737 (forall @t93 (= (tptp.hBOOL (tptp.hAPP @t81 @t1052)) (or @t488 @t82)))) % 54.38/54.68 (assume @p738 (forall @t30 (=> @t633 (=> @t635 (tptp.hBOOL (tptp.hAPP @t528 @t1107)))))) % 54.38/54.68 (assume @p739 (forall @t1159 (tptp.hBOOL (tptp.hAPP @t245 (tptp.hAPP tptp.c_Nat_OSuc @t1158))))) % 54.38/54.68 (assume @p740 (forall @t1159 (tptp.hBOOL (tptp.hAPP @t245 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t847 @t240)))))) % 54.38/54.68 (assume @p741 (forall @t93 (= @t90 (exists @t1085 (= @t33 (tptp.hAPP tptp.c_Nat_OSuc @t1084)))))) % 54.38/54.68 (assume @p742 (forall @t675 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t746 @t522)) @t522)) @t511)) @t590))) % 54.38/54.68 (assume @p743 (forall @t331 (=> @t325 (= (tptp.hAPP @t257 @t862) (tptp.hAPP (tptp.hAPP @t313 @t330) @t258))))) % 54.38/54.68 (assume @p744 (forall @t506 (=> @t496 (= (tptp.hAPP (tptp.hAPP @t313 @t505) @t492) (tptp.hAPP @t491 (tptp.hAPP (tptp.hAPP @t760 @t503) @t490)))))) % 54.38/54.68 (assume @p745 (forall (@list @t134 @t723 @t596 @t1160) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1160) @t596)) (=> @t1161 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP (tptp.hAPP @t745 @t1160) @t723)) @t825)))))) % 54.38/54.68 (assume @p746 (forall @t699 (= @t1082 @t620))) % 54.38/54.68 (assume @p747 (forall @t699 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 (tptp.hAPP @t1162 @t661)) @t522)) @t630))) % 54.38/54.68 (assume @p748 (forall @t1163 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t596) @t134)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 (tptp.hAPP @t824 @t661)) @t134))))) % 54.38/54.68 (assume @p749 (forall @t73 (= (tptp.hAPP @t509 @t59) (tptp.hAPP @t746 @t531)))) % 54.38/54.68 (assume @p750 (forall @t65 (= (tptp.hAPP @t289 @t12) (tptp.hAPP @t847 @t290)))) % 54.38/54.68 (assume @p751 (forall @t65 (= (tptp.hAPP (tptp.hAPP @t288 @t59) @t9) (tptp.hAPP @t769 @t290)))) % 54.38/54.68 (assume @p752 (forall @t699 (= @t620 (exists @t22 (= @t522 (tptp.hAPP @t1162 @t588)))))) % 54.38/54.68 (assume @p753 (forall @t571 (= (tptp.hAPP @t569 @t1065) (tptp.hAPP (tptp.hAPP @t514 @t570) (tptp.hAPP @t569 @t134))))) % 54.38/54.68 (assume @p754 (forall @t1105 (=> @t624 (and (=> @t1164 (= @t1103 (tptp.hAPP @t818 (tptp.hAPP @t333 (tptp.hAPP tptp.c_Int_Onat @t1165))))) (=> (not @t1164) (= @t1103 (tptp.hAPP @t333 (tptp.hAPP tptp.c_Int_Onat @t239)))))))) % 54.38/54.68 (assume @p755 (forall @t30 (= (tptp.c_Nat__Transfer_Otsub @t576 @t579) (tptp.hAPP @t509 (tptp.hAPP (tptp.hAPP @t740 @t28) @t27))))) % 54.38/54.68 (assume @p756 (forall @t174 (=> @t1122 (=> @t433 (=> @t276 @t1132))))) % 54.38/54.68 (assume @p757 (forall @t174 (=> @t1122 (=> @t263 @t1133)))) % 54.38/54.68 (assume @p758 (forall @t162 (=> @t1122 (=> @t433 (=> @t171 @t1134))))) % 54.38/54.68 (assume @p759 (forall @t162 (=> @t1122 (=> @t263 @t1135)))) % 54.38/54.68 (assume @p760 (forall @t174 (=> @t1122 (=> @t438 (=> @t392 @t1136))))) % 54.38/54.68 (assume @p761 (forall @t174 (=> @t1122 (=> @t394 @t1137)))) % 54.38/54.68 (assume @p762 (forall @t191 (=> @t387 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t1139) @t268)) @t1124)))) % 54.38/54.68 (assume @p763 (forall @t121 (=> @t378 (tptp.hBOOL (tptp.hAPP @t262 @t1167))))) % 54.38/54.68 (assume @p764 (forall @t191 (=> @t387 (= (tptp.hBOOL (tptp.hAPP @t269 @t1139)) @t1169)))) % 54.38/54.68 (assume @p765 (forall @t121 (=> @t378 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1167) @t261)))))) % 54.38/54.68 (assume @p766 (forall @t326 (=> @t624 (= @t1172 (tptp.hAPP (tptp.hAPP @t313 (tptp.hAPP @t1170 @t9)) @t258))))) % 54.38/54.68 (assume @p767 (forall @t478 (=> @t264 (tptp.hBOOL (tptp.hAPP @t430 @t1147))))) % 54.38/54.68 (assume @p768 (forall (@list @t240 @t9) (=> @t110 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t891 @t241)) @t9))))) % 54.38/54.68 (assume @p769 (forall @t23 (=> @t110 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t891 @t221)) @t9)))) % 54.38/54.68 (assume @p770 (forall @t23 (=> @t110 (= @t1174 @t9)))) % 54.38/54.68 (assume @p771 (forall @t23 (=> @t110 (= @t9 @t1174)))) % 54.38/54.68 (assume @p772 (forall @t476 (=> @t336 (= (tptp.hAPP @t333 @t59) (tptp.hAPP @t1146 @t335))))) % 54.38/54.68 (assume @p773 (forall @t216 (= (tptp.hBOOL (tptp.hAPP @t556 (tptp.hAPP @t729 @t535))) @t1156))) % 54.38/54.68 (assume @p774 (forall @t23 (tptp.hBOOL (tptp.hAPP @t757 @t511)))) % 54.38/54.68 (assume @p775 (forall @t744 (=> @t593 (= (tptp.hBOOL (tptp.hAPP @t269 @t743)) @t742)))) % 54.38/54.68 (assume @p776 (forall @t744 (=> @t593 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t743) @t268)) @t1114)))) % 54.38/54.68 (assume @p777 (forall @t23 (= (tptp.hAPP tptp.c_Int_Onat @t756) @t56))) % 54.38/54.68 (assume @p778 (forall @t587 (=> @t642 (tptp.hBOOL (tptp.hAPP @t513 @t747))))) % 54.38/54.68 (assume @p779 (forall @t699 (= @t630 (exists @t22 (= @t522 (tptp.hAPP @t1162 @t1175)))))) % 54.38/54.68 (assume @p780 (forall (@list @t503 @t58) (and (=> @t691 (= @t1177 @t663)) (=> @t939 (= @t1177 (tptp.hAPP @t504 (tptp.hAPP @t1176 @t938))))))) % 54.38/54.68 (assume @p781 (forall @t739 (=> (tptp.class_Rings_Olinordered__semiring__1 @t10) (=> @t1178 (=> (tptp.hBOOL (tptp.hAPP @t122 @t149)) (=> @t737 (=> @t736 (=> @t735 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t734) @t149)))))))))) % 54.38/54.68 (assume @p782 (forall @t23 (not (tptp.hBOOL (tptp.hAPP @t528 @t754))))) % 54.38/54.68 (assume @p783 (forall @t1185 (=> @t1184 (=> @t1183 (=> @t1180 (tptp.hBOOL (tptp.hAPP @t1179 @t661))))))) % 54.38/54.68 (assume @p784 (forall @t1185 (=> @t1184 (=> @t1183 (=> (tptp.hBOOL (tptp.hAPP @t1186 @t149)) (tptp.hBOOL (tptp.hAPP @t713 @t490))))))) % 54.38/54.68 (assume @p785 (forall @t1195 (=> @t1194 (=> @t1192 (=> @t1189 (tptp.hBOOL (tptp.hAPP @t528 @t1187))))))) % 54.38/54.68 (assume @p786 (forall @t1195 (=> @t1198 (=> @t1197 (=> @t1189 (tptp.hBOOL (tptp.hAPP @t1196 @t511))))))) % 54.38/54.68 (assume @p787 (forall @t1204 (=> @t1203 (=> @t1197 (=> (tptp.hBOOL (tptp.hAPP @t1191 @t153)) (=> @t1200 @t1199)))))) % 54.38/54.68 (assume @p788 (forall @t1208 (=> @t1207 (=> @t1194 (=> @t1192 (=> @t1180 (=> @t1189 (=> @t1206 @t1205)))))))) % 54.38/54.68 (assume @p789 (forall @t1204 (=> @t1203 (=> @t1211 (=> @t1210 (=> (tptp.hBOOL (tptp.hAPP @t1209 @t1190)) @t1205)))))) % 54.38/54.68 (assume @p790 (forall @t1208 (=> @t1207 (=> @t1198 (=> @t1200 (=> @t1197 (=> @t1189 (=> @t1206 @t1199)))))))) % 54.38/54.68 (assume @p791 (forall @t472 (= (tptp.c_Int_Onat__aux @t240 @t9) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP tptp.c_Int_Onat @t240)) @t9)))) % 54.38/54.68 (assume @p792 (forall @t191 (=> @t1214 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t1213) @t1212)) @t182)))) % 54.38/54.68 (assume @p793 (forall @t366 (= (= @t1217 @t1216) @t91))) % 54.38/54.68 (assume @p794 (forall @t371 (= (= @t1077 @t1076) @t91))) % 54.38/54.68 (assume @p795 (forall @t322 (= (tptp.hAPP (tptp.hAPP @t760 @t862) @t239) (tptp.hAPP @t847 @t846)))) % 54.38/54.68 (assume @p796 (forall @t571 (= (tptp.hAPP @t930 @t1065) (tptp.hAPP @t1064 (tptp.hAPP @t930 @t134))))) % 54.38/54.68 (assume @p797 (forall @t65 (= @t862 @t860))) % 54.38/54.68 (assume @p798 (forall @t502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t1220) @t1219)) @t501))) % 54.38/54.68 (assume @p799 (forall @t502 (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t1219) @t1220))))) % 54.38/54.68 (assume @p800 (forall @t502 (tptp.hBOOL (tptp.hAPP @t1224 @t226)))) % 54.38/54.68 (assume @p801 (forall (@list @t230 @t1225 @t563 @t226 @t17) (=> @t568 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t1225) @t230)) (tptp.hBOOL (tptp.hAPP @t1224 (tptp.hAPP @t1226 @t1225))))))) % 54.38/54.68 (assume @p802 (forall @t566 (=> @t234 (=> @t565 (= (tptp.hAPP @t1227 (tptp.hAPP @t1226 @t226)) @t226))))) % 54.38/54.68 (assume @p803 (forall @t1102 (= (tptp.hAPP (tptp.hAPP @t514 @t1228) @t596) (tptp.hAPP (tptp.hAPP @t829 @t1101) @t1100)))) % 54.38/54.68 (assume @p804 (forall @t1099 (= (tptp.hAPP @t605 @t1228) (tptp.hAPP (tptp.hAPP @t829 @t1098) @t1097)))) % 54.38/54.68 (assume @p805 (forall @t1050 (= @t1054 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP (tptp.hAPP @t829 @t359) @t1045)) @t511))))) % 54.38/54.68 (assume @p806 (forall @t601 (= @t1231 @t1229))) % 54.38/54.68 (assume @p807 (forall @t601 (= @t1229 @t1231))) % 54.38/54.68 (assume @p808 (forall @t1232 (= @t1092 (tptp.hAPP tptp.c_Int_Onat @t808)))) % 54.38/54.68 (assume @p809 (forall @t604 (= (tptp.hAPP tptp.c_Int_Onat @t807) @t1233))) % 54.38/54.68 (assume @p810 (forall @t1239 @t1238)) % 54.38/54.68 (assume @p811 (forall @t699 (= (tptp.hBOOL (tptp.hAPP @t619 (tptp.hAPP @t1240 @t661))) @t630))) % 54.38/54.68 (assume @p812 (forall @t106 (=> @t296 (= (tptp.hAPP (tptp.hAPP @t829 @t531) @t527) (tptp.hAPP @t509 @t768))))) % 54.38/54.68 (assume @p813 (forall @t810 (= (tptp.hAPP (tptp.hAPP @t829 @t808) @t807) (tptp.hAPP @t752 @t796)))) % 54.38/54.68 (assume @p814 (forall @t174 (=> @t1241 (= (tptp.hAPP @t316 @t317) @t317)))) % 54.38/54.68 (assume @p815 (forall @t78 (=> @t1241 (= @t1166 @t28)))) % 54.38/54.68 (assume @p816 (forall @t344 (=> @t1241 (= @t377 @t149)))) % 54.38/54.68 (assume @p817 (forall (@list @t125 @t230 @t226 @t67 @t17) (=> (tptp.class_Groups_Ominus @t17) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t1244) @t226) @t230) @t125) (tptp.hAPP (tptp.hAPP @t866 @t1243) @t1242))))) % 54.38/54.68 (assume @p818 (forall @t191 (=> @t1214 (= (= @t1213 @t1212) @t177)))) % 54.38/54.68 (assume @p819 (forall @t1245 (=> (tptp.class_Groups_Ouminus @t17) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t1244) @t226) @t125) (tptp.hAPP @t839 @t1243))))) % 54.38/54.68 (assume @p820 (forall @t78 (=> @t1246 (= (tptp.hAPP @t818 @t1121) @t28)))) % 54.38/54.68 (assume @p821 (forall @t1239 (and @t1238 (=> (not @t1237) (= @t636 @t511))))) % 54.38/54.68 (assume @p822 (forall (@list @t134 @t723) (=> @t1108 (=> @t1161 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1230 @t723)) (tptp.hAPP (tptp.hAPP @t740 @t641) @t724)))))) % 54.38/54.68 (assume @p823 (forall @t1232 (=> (tptp.hBOOL (tptp.hAPP @t81 @t1092)) (= @t1092 (tptp.hAPP tptp.c_Nat_OSuc @t1247))))) % 54.38/54.68 (assume @p824 (forall @t121 (=> @t1246 (=> @t124 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t819) @t1121)))))) % 54.38/54.68 (assume @p825 (forall (@list @t176 @t125 @t111) (= (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t509 @t1251))) (and (=> (tptp.hBOOL (tptp.hAPP @t1249 @t125)) (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t829 @t574) @t573)))) (=> @t572 @t1248))))) % 54.38/54.68 (assume @p826 (forall @t810 (and (=> @t1255 (= @t1254 (tptp.hAPP @t1257 @t1233))) (=> @t1256 (= @t1254 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1252 @t1233))))))) % 54.38/54.68 (assume @p827 (forall @t1259 (and (=> @t1255 (= @t1258 (tptp.hAPP @t1257 @t9))) (=> @t1256 (= @t1258 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1252 @t9))))))) % 54.38/54.68 (assume @p828 (forall @t1262 (=> @t1152 (=> @t516 (= (tptp.hAPP (tptp.hAPP @t1261 (tptp.hAPP @t1260 @t58)) @t239) (tptp.hAPP @t1260 (tptp.hAPP @t767 @t221))))))) % 54.38/54.68 (assume @p829 (forall @t1263 (=> (tptp.hBOOL (tptp.hAPP @t520 @t511)) (exists @t22 (= @t28 (tptp.hAPP @t729 @t1175)))))) % 54.38/54.68 (assume @p830 (forall @t1270 (=> @t948 (=> @t1269 (exists @t1085 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t1083) @t33)) (forall @t1268 (=> (tptp.hBOOL (tptp.hAPP @t1267 @t1083)) (not @t1266))) (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t760 @t1083) @t663))))))))) % 54.38/54.68 (assume @p831 (forall @t933 (=> @t793 (and (=> @t1255 @t1094) (=> @t1256 @t1096))))) % 54.38/54.68 (assume @p832 (forall @t191 (=> @t802 (= @t801 (tptp.c_Int_Oiszero @t17 (tptp.hAPP @t798 (tptp.hAPP @t1272 @t1271))))))) % 54.38/54.68 (assume @p833 (forall @t502 (= (tptp.hAPP @t1273 @t230) @t1223))) % 54.38/54.68 (assume @p834 (forall @t502 (= (= @t1220 @t1219) @t499))) % 54.38/54.68 (assume @p835 (forall @t558 (= (tptp.hAPP @t1218 @t1220) @t226))) % 54.38/54.68 (assume @p836 (forall @t1274 (= (tptp.hAPP (tptp.hAPP @t1261 @t511) @t153) @t511))) % 54.38/54.68 (assume @p837 (forall @t1281 (= @t1280 @t1277))) % 54.38/54.68 (assume @p838 (forall @t1281 (= (tptp.hAPP @t1276 @t1278) @t1282))) % 54.38/54.68 (assume @p839 (forall @t344 (=> @t1284 (= (tptp.hAPP (tptp.hAPP @t1283 @t261) @t149) @t261)))) % 54.38/54.68 (assume @p840 (forall @t344 (=> @t1284 (= (tptp.hAPP @t1285 @t261) @t261)))) % 54.38/54.68 (assume @p841 (forall @t344 (=> @t1284 (= (tptp.hAPP @t1285 @t645) @t149)))) % 54.38/54.68 (assume @p842 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t511)))) % 54.38/54.68 (assume @p843 (forall @t23 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t527))))) % 54.38/54.68 (assume @p844 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t661)))) % 54.38/54.68 (assume @p845 (forall @t478 (=> @t336 (tptp.c_Int_Oiszero @t10 @t261)))) % 54.38/54.68 (assume @p846 (forall @t594 (=> @t35 (= (tptp.c_Int_Oiszero @t17 @t522) @t1286)))) % 54.38/54.68 (assume @p847 (forall @t30 (=> @t633 (=> @t635 (tptp.hBOOL (tptp.hAPP @t528 @t1288)))))) % 54.38/54.68 (assume @p848 (forall @t478 (=> @t336 (not (tptp.c_Int_Oiszero @t10 @t645))))) % 54.38/54.68 (assume @p849 (forall @t1295 (=> @t1294 (= @t1292 (tptp.hBOOL (tptp.hAPP @t1289 @t511)))))) % 54.38/54.68 (assume @p850 (forall @t1295 (=> @t1297 (= @t1292 (tptp.hBOOL (tptp.hAPP @t513 @t36)))))) % 54.38/54.68 (assume @p851 (forall @t1281 (=> @t1300 (=> @t1298 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1282) @t511)))))) % 54.38/54.68 (assume @p852 (forall @t1303 (=> @t1302 (= (tptp.hAPP @t1279 @t149) @t661)))) % 54.38/54.68 (assume @p853 (forall @t466 (=> @t1284 @t1308))) % 54.38/54.68 (assume @p854 (forall @t466 (=> @t1284 (=> @t1307 (= (tptp.hAPP (tptp.hAPP @t1283 @t396) @t315) @t1304))))) % 54.38/54.68 (assume @p855 (forall @t173 (=> @t1284 (=> @t355 (= (tptp.hAPP (tptp.hAPP @t1283 @t393) @t153) @t149))))) % 54.38/54.68 (assume @p856 (forall @t173 (=> @t1284 (=> @t355 (= (tptp.hAPP @t1309 @t153) @t149))))) % 54.38/54.68 (assume @p857 (forall @t466 (=> @t1284 (and (=> @t1306 (= @t1305 @t261)) @t1308)))) % 54.38/54.68 (assume @p858 (forall @t344 (=> @t1284 (=> @t357 (= (tptp.hAPP @t1285 @t149) @t645))))) % 54.38/54.68 (assume @p859 (forall @t1310 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t125))) @t682))) % 54.38/54.68 (assume @p860 (forall (@list @t1311) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1311)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1311) @t511))))) % 54.38/54.68 (assume @p861 (forall @t587 (=> @t1312 @t696))) % 54.38/54.68 (assume @p862 (forall @t587 (=> (not @t1312) @t704))) % 54.38/54.68 (assume @p863 (forall @t1315 (= (= @t1314 @t511) (or @t1313 (and (tptp.hBOOL (tptp.hAPP @t528 @t31)) (tptp.hBOOL (tptp.hAPP @t721 @t359))) (and @t693 (tptp.hBOOL (tptp.hAPP @t1053 @t31))))))) % 54.38/54.68 (assume @p864 (forall @t1295 (=> @t1294 (= @t1317 @t1316)))) % 54.38/54.68 (assume @p865 (forall (@list @t31 @t359) (=> @t1318 (= (tptp.hBOOL (tptp.hAPP @t513 @t1314)) (tptp.hBOOL (tptp.hAPP @t1046 @t31)))))) % 54.38/54.68 (assume @p866 (forall @t1320 (=> @t1316 (= (tptp.hBOOL (tptp.hAPP @t513 @t1291)) (and (tptp.hBOOL (tptp.hAPP @t1319 @t36)) @t1294))))) % 54.38/54.68 (assume @p867 (forall @t1324 (=> @t1323 (=> @t1189 (=> @t1206 (tptp.hBOOL (tptp.hAPP @t1322 @t1321))))))) % 54.38/54.68 (assume @p868 (forall @t1281 (=> @t1323 (=> @t1326 @t1325)))) % 54.38/54.68 (assume @p869 (forall @t1281 (=> @t1323 (=> @t1328 @t1327)))) % 54.38/54.68 (assume @p870 (forall @t1295 (=> @t1297 (= @t1317 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t36) @t511)))))) % 54.38/54.68 (assume @p871 (forall @t1281 (=> @t1330 (=> @t1298 @t1325)))) % 54.38/54.68 (assume @p872 (forall @t1324 (=> @t1300 (=> @t1189 (=> @t1206 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1321) @t1282))))))) % 54.38/54.68 (assume @p873 (forall @t1281 (=> @t1330 (=> @t1331 @t1327)))) % 54.38/54.68 (assume @p874 (forall @t1335 (=> @t1334 (=> @t1298 (tptp.hBOOL (tptp.hAPP @t1322 @t1333)))))) % 54.38/54.68 (assume @p875 (forall @t1335 (=> @t1334 (=> @t1326 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1333) @t1282)))))) % 54.38/54.68 (assume @p876 (forall (@list @t239 @t28) (=> (tptp.hBOOL (tptp.hAPP @t513 @t28)) (=> (tptp.hBOOL (tptp.hAPP @t673 @t239)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP @t1287 @t239)) @t28)))))) % 54.38/54.68 (assume @p877 (forall @t1338 (=> @t1337 (= (tptp.hAPP @t1279 @t1336) (tptp.hAPP (tptp.hAPP @t1261 @t1282) @t150))))) % 54.38/54.68 (assume @p878 (forall @t157 (=> @t1284 (=> @t355 (= (tptp.hAPP (tptp.hAPP @t1283 @t1340) @t153) @t1339))))) % 54.38/54.68 (assume @p879 (forall @t157 (=> @t1284 (=> @t355 (= (tptp.hAPP (tptp.hAPP @t1283 @t1341) @t153) @t1339))))) % 54.38/54.68 (assume @p880 (forall @t173 (=> @t1284 (=> @t355 (= (tptp.hAPP (tptp.hAPP @t1283 @t871) @t153) @t1342))))) % 54.38/54.68 (assume @p881 (forall @t173 (=> @t1284 (=> @t355 (= (tptp.hAPP (tptp.hAPP @t1283 @t778) @t153) @t1342))))) % 54.38/54.68 (assume @p882 (forall @t1232 (=> @t1255 @t1343))) % 54.38/54.68 (assume @p883 (forall @t23 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t754)))) % 54.38/54.68 (assume @p884 (forall @t1350 (= (= @t1349 @t1348) (and (=> @t1347 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1345) @t511))) (=> (not @t1347) (and (=> @t1346 (= @t753 @t511)) (=> (not @t1346) (= @t751 @t1344)))))))) % 54.38/54.68 (assume @p885 (forall @t1360 (and (=> @t1255 (= @t1356 @t1354)) (=> @t1256 (and (=> @t1358 (= @t1356 (tptp.hAPP @t1355 @t239))) (=> @t1359 (= @t1356 (tptp.hAPP (tptp.hAPP @t760 @t1352) @t239)))))))) % 54.38/54.68 (assume @p886 (forall @t1232 (and (=> @t1255 (= @t1361 @t511)) (=> @t1256 (= @t1361 @t808))))) % 54.38/54.68 (assume @p887 (forall @t1369 (= (tptp.hBOOL @t1368) (and (=> @t1313 @t1248) (=> @t1318 (forall @t1268 (=> (exists @t219 @t1367) @t1266))) (=> @t1366 (forall @t1268 (=> (exists @t219 @t1364) @t1266))))))) % 54.38/54.68 (assume @p888 (forall (@list @t1373 @t27 @t1370 @t1371) (=> (= @t1371 (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1377 @t27)) @t1373)) (=> (and (=> @t1375 (and (tptp.hBOOL (tptp.hAPP @t528 @t1373)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1373) @t1370)))) (=> @t1376 (and (tptp.hBOOL (tptp.hAPP @t1374 @t1373)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1373) @t511))))) (=> @t1372 (= (tptp.hAPP (tptp.hAPP @t1261 @t1371) @t1370) @t27)))))) % 54.38/54.68 (assume @p889 (forall @t1259 (and (=> @t1255 (= @t1379 @t1062)) (=> @t1256 (= @t1379 (tptp.hAPP (tptp.hAPP @t760 @t1378) @t9)))))) % 54.38/54.68 (assume @p890 (forall @t1386 (and (=> @t1383 (= @t1382 @t1385)) (=> @t1384 (= @t1382 (tptp.hAPP @t729 (tptp.hAPP @t1381 @t1380))))))) % 54.38/54.68 (assume @p891 (forall @t1232 (and (=> @t1255 (= @t1387 @t663)) (=> @t1256 (= @t1387 @t1378))))) % 54.38/54.68 (assume @p892 (forall @t1390 (= (tptp.hAPP (tptp.hAPP @t1389 @t221) @t1353) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1388 @t1357))))) % 54.38/54.68 (assume @p893 (forall @t1397 (=> @t1396 (=> (forall @t7 (=> @t583 (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t1392 @t863))))) (=> @t1394 (forall @t7 (=> @t583 (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t1392 @t1391)))))))))) % 54.38/54.68 (assume @p894 (forall @t1397 (=> @t1396 (=> (forall @t7 (=> @t583 (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t1398 @t863))))) (=> @t1394 (forall @t7 (=> @t583 (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t1398 @t1391)))))))))) % 54.38/54.68 (assume @p895 (forall @t1281 (=> @t1184 (=> @t1402 (= @t1282 @t1399))))) % 54.38/54.68 (assume @p896 (forall @t1407 (=> @t1366 (= @t1406 (forall @t1404 (=> @t1364 @t1403)))))) % 54.38/54.68 (assume @p897 (forall @t530 (= (tptp.hAPP @t1409 tptp.c_Int_OMin) @t1408))) % 54.38/54.68 (assume @p898 (forall @t174 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t1410 @t153) @t1410)))) % 54.38/54.68 (assume @p899 (forall @t1303 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t149 @t1399) @t511))) % 54.38/54.68 (assume @p900 (forall @t344 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t261 @t149) @t261)))) % 54.38/54.68 (assume @p901 (forall @t344 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t149 @t261) @t149)))) % 54.38/54.68 (assume @p902 (forall @t344 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t149 @t149) @t261)))) % 54.38/54.68 (assume @p903 (forall @t174 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t778 @t153) @t1410)))) % 54.38/54.68 (assume @p904 (forall @t173 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t871 @t153) @t1410)))) % 54.38/54.68 (assume @p905 (forall @t162 (=> @t1284 (= @t1413 @t1412)))) % 54.38/54.68 (assume @p906 (forall @t162 (=> @t1284 (= @t1413 @t1416)))) % 54.38/54.68 (assume @p907 (forall @t162 (=> @t1284 (= @t1413 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t1415 @t1411) @t150))))) % 54.38/54.68 (assume @p908 (forall @t162 (=> @t1284 (= @t1412 @t1413)))) % 54.38/54.68 (assume @p909 (forall @t464 (=> @t1284 (= @t1416 @t1413)))) % 54.38/54.68 (assume @p910 (forall @t1419 (=> @t1284 (=> @t1418 (=> @t1417 (= @t1413 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP (tptp.hAPP @t733 @t1332) @t1188) @t150))))))) % 54.38/54.68 (assume @p911 (forall @t162 (=> @t1284 (= @t1420 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t316 @t1411) @t150))))) % 54.38/54.68 (assume @p912 (forall @t162 (=> @t1284 (= @t1420 @t1422)))) % 54.38/54.68 (assume @p913 (forall @t162 (=> @t1284 (= @t1420 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t1421 @t1411) @t150))))) % 54.38/54.68 (assume @p914 (forall @t466 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t403 @t402) (tptp.hAPP @t401 @t1410))))) % 54.38/54.68 (assume @p915 (forall @t464 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t396 @t315) (tptp.hAPP (tptp.hAPP @t313 @t1410) @t150))))) % 54.38/54.68 (assume @p916 (forall @t464 (=> @t1284 (= @t1422 @t1420)))) % 54.38/54.68 (assume @p917 (forall @t1419 (=> @t1284 (=> @t1418 (=> @t1417 (= @t1420 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP (tptp.hAPP @t313 @t1332) @t1188) @t150))))))) % 54.38/54.68 (assume @p918 (forall @t1419 (=> @t1424 (=> @t1418 (=> @t1417 (= @t1423 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP (tptp.hAPP @t789 @t1332) @t1188) @t150))))))) % 54.38/54.68 (assume @p919 (forall @t162 (=> @t1424 (= @t1423 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t1425 @t1411) @t150))))) % 54.38/54.68 (assume @p920 (forall @t162 (=> @t1424 (= @t1423 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t1425 @t153) @t150))))) % 54.38/54.68 (assume @p921 (forall @t162 (=> @t1424 (= @t1423 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t883 @t1411) @t150))))) % 54.38/54.68 (assume @p922 (forall (@list @t1332 @t153 @t149 @t10) (=> @t1424 (=> (= @t1410 (tptp.c_Divides_Odiv__class_Omod @t10 @t1332 @t153)) (= @t1426 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t818 @t1332) @t153)))))) % 54.38/54.68 (assume @p923 (forall @t174 (=> @t1424 (= @t1426 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t818 @t1410) @t153))))) % 54.38/54.68 (assume @p924 (forall @t65 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t1428) @t58)))) % 54.38/54.68 (assume @p925 (forall @t322 (=> @t109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t1427 @t239)) (tptp.hAPP @t1429 @t239)))))) % 54.38/54.68 (assume @p926 (forall @t1155 (= (tptp.hAPP @t1430 @t1433) (tptp.hAPP (tptp.hAPP @t1389 @t1431) @t150)))) % 54.38/54.68 (assume @p927 (forall @t1303 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t149 @t149) @t511))) % 54.38/54.68 (assume @p928 (forall @t1274 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t511 @t153) @t511))) % 54.38/54.68 (assume @p929 (tptp.hBOOL (tptp.hAPP @t1434 tptp.c_Int_OMin))) % 54.38/54.68 (assume @p930 (not (tptp.hBOOL (tptp.hAPP @t1435 tptp.c_Int_OMin)))) % 54.38/54.68 (assume @p931 (forall @t1155 (= @t1440 @t1437))) % 54.38/54.68 (assume @p932 (forall @t1155 (= @t1437 @t1440))) % 54.38/54.68 (assume @p933 (forall (@list @t58 @t27 @t28) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t1234 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t27 @t58)) @t58) @t1441))) % 54.38/54.68 (assume @p934 (forall @t1443 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t829 @t1442) @t27) @t58) @t1441))) % 54.38/54.68 (assume @p935 (forall (@list @t58 @t28) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t729 @t1442) @t58) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t729 @t28) @t58)))) % 54.38/54.68 (assume @p936 (forall @t1281 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1275 @t1278) (tptp.hAPP @t729 @t1444)))) % 54.38/54.68 (assume @p937 (forall @t1281 (= @t1446 (tptp.hAPP @t729 @t1445)))) % 54.38/54.68 (assume @p938 (forall @t1443 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t532 @t1442) @t27) @t58) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t570 @t58)))) % 54.38/54.68 (assume @p939 (forall @t174 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t317 @t153) @t261)))) % 54.38/54.68 (assume @p940 (forall @t173 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t393 @t153) @t261)))) % 54.38/54.68 (assume @p941 (forall @t162 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t1341 @t153) @t1410)))) % 54.38/54.68 (assume @p942 (forall @t464 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t1340 @t153) @t1410)))) % 54.38/54.68 (assume @p943 (forall @t344 (=> @t1284 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t149 @t645) @t261)))) % 54.38/54.68 (assume @p944 (forall @t174 (=> @t1284 (= (tptp.hAPP (tptp.hAPP @t1283 @t1410) @t153) @t261)))) % 54.38/54.68 (assume @p945 (forall @t73 (= (tptp.hAPP @t1427 @t221) @t58))) % 54.38/54.68 (assume @p946 (forall @t65 @t1447)) % 54.38/54.68 (assume @p947 (forall @t854 (and (=> @t1450 (= @t1448 @t56)) (=> (not @t1450) @t1449)))) % 54.38/54.68 (assume @p948 (forall @t30 (=> @t633 (=> @t635 (tptp.hBOOL (tptp.hAPP @t528 @t1451)))))) % 54.38/54.68 (assume @p949 (forall @t1262 (=> @t1452 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t58 @t239)) @t58))))) % 54.38/54.68 (assume @p950 (forall @t1454 (=> @t1326 @t1453))) % 54.38/54.68 (assume @p951 (forall @t1454 (=> @t1298 @t1455))) % 54.38/54.68 (assume @p952 (forall @t1281 (= (tptp.hAPP @t509 @t1431) (tptp.hAPP (tptp.hAPP @t1261 @t1457) @t1456)))) % 54.38/54.68 (assume @p953 (forall @t30 (= (tptp.hAPP (tptp.hAPP @t1261 @t576) @t579) (tptp.hAPP @t509 (tptp.hAPP (tptp.hAPP @t1389 @t28) @t27))))) % 54.38/54.68 (assume @p954 (forall @t1460 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t86 @t863) @t511) (exists @t1459 (= @t86 (tptp.hAPP (tptp.hAPP @t514 @t863) @t1458)))))) % 54.38/54.68 (assume @p955 (tptp.hBOOL (tptp.hAPP @t1435 @t511))) % 54.38/54.68 (assume @p956 (forall @t1464 (=> (not (= @t1463 @t511)) @t1462))) % 54.38/54.68 (assume @p957 (forall @t1464 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1165 @t308) @t511)) @t1462))) % 54.38/54.68 (assume @p958 (forall @t1281 (= (tptp.hAPP (tptp.hAPP @t1261 @t1444) @t153) @t511))) % 54.38/54.68 (assume @p959 (forall @t1303 (and (= (tptp.hAPP @t1279 @t511) @t511) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t149 @t511) @t149)))) % 54.38/54.68 (assume @p960 (forall @t1155 (= (tptp.hAPP (tptp.hAPP @t1261 @t1401) @t150) (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1279 @t150)) @t1466)) (tptp.hAPP (tptp.hAPP @t1261 (tptp.hAPP (tptp.hAPP @t745 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t149 @t150)) @t1438)) @t150))))) % 54.38/54.68 (assume @p961 (= tptp.c_Int_OMin @t1032)) % 54.38/54.68 (assume @p962 (forall @t530 (= (tptp.hAPP (tptp.hAPP @t514 tptp.c_Int_OMin) @t239) @t1165))) % 54.38/54.68 (assume @p963 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1399))) % 54.38/54.68 (assume @p964 (forall @t478 (=> @t793 (not (tptp.c_Int_Oiszero @t10 @t1467))))) % 54.38/54.68 (assume @p965 (forall @t1274 (=> @t1298 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1399 @t153) @t1469)))) % 54.38/54.68 (assume @p966 (forall @t174 (=> @t1284 (= (tptp.hAPP (tptp.hAPP @t733 @t1410) @t1470) @t149)))) % 54.38/54.68 (assume @p967 (forall @t173 (=> @t1284 (= @t1471 @t149)))) % 54.38/54.68 (assume @p968 (forall @t174 (=> @t1284 (= @t1472 @t149)))) % 54.38/54.68 (assume @p969 (forall @t157 (=> @t1284 (= (tptp.hAPP (tptp.hAPP @t733 @t1471) @t150) @t774)))) % 54.38/54.68 (assume @p970 (forall @t162 (=> @t1284 (= (tptp.hAPP (tptp.hAPP @t733 @t1472) @t150) @t774)))) % 54.38/54.68 (assume @p971 (forall @t322 (=> @t1152 (=> @t109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t1473 @t9)) (tptp.hAPP @t1473 @t58))))))) % 54.38/54.68 (assume @p972 (forall @t106 (=> @t110 (= (tptp.hAPP (tptp.hAPP @t1389 @t332) @t9) @t58)))) % 54.38/54.68 (assume @p973 (forall @t106 (=> @t110 (= (tptp.hAPP (tptp.hAPP @t1389 @t290) @t9) @t58)))) % 54.38/54.68 (assume @p974 (forall @t854 (=> @t482 @t1449))) % 54.38/54.68 (assume @p975 (forall @t106 (=> @t1475 (=> @t1152 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t1428) @t58)))))) % 54.38/54.68 (assume @p976 (forall @t728 (=> @t793 (= (tptp.hAPP @t1477 @t1467) @t1476)))) % 54.38/54.68 (assume @p977 (forall @t728 (=> @t793 (= (tptp.hAPP (tptp.hAPP @t313 @t1467) @t134) @t1476)))) % 54.38/54.68 (assume @p978 (forall @t1281 (=> @t1330 (=> @t1331 @t1478)))) % 54.38/54.68 (assume @p979 (forall @t1454 (=> @t1326 (and @t1479 @t1453)))) % 54.38/54.68 (assume @p980 (forall @t1454 (=> @t1326 @t1479))) % 54.38/54.68 (assume @p981 (forall @t1281 (=> @t1323 (=> @t1328 @t1478)))) % 54.38/54.68 (assume @p982 (forall @t1454 (=> @t1298 (and @t1480 @t1455)))) % 54.38/54.68 (assume @p983 (forall @t1454 (=> @t1298 @t1480))) % 54.38/54.68 (assume @p984 (forall @t478 (=> @t793 (= @t1467 @t1109)))) % 54.38/54.68 (assume @p985 (forall @t478 (=> @t793 (= @t1109 @t1467)))) % 54.38/54.68 (assume @p986 (forall @t1281 (and (=> @t1481 (= @t1446 @t511)) (=> @t1482 (= @t1446 (tptp.hAPP (tptp.hAPP @t829 @t1444) @t153)))))) % 54.38/54.68 (assume @p987 (forall @t1281 (and (=> @t1481 (= @t1445 @t511)) (=> @t1482 (= @t1445 (tptp.hAPP @t1468 @t1444)))))) % 54.38/54.68 (assume @p988 (forall @t1281 (= @t149 @t1483))) % 54.38/54.68 (assume @p989 (forall @t1155 (= (tptp.hAPP (tptp.hAPP @t1261 @t1436) @t150) (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1181 @t1466)) (tptp.hAPP (tptp.hAPP @t1261 @t1439) @t150))))) % 54.38/54.68 (assume @p990 (forall (@list @t239 @t149 @t153) (= (tptp.hAPP (tptp.hAPP @t745 @t1483) @t239) @t1484))) % 54.38/54.68 (assume @p991 (forall (@list @t239 @t153 @t149) (= (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP (tptp.hAPP @t514 @t1282) @t153)) @t1444)) @t239) @t1484))) % 54.38/54.68 (assume @p992 (forall @t93 (= @t716 (or @t714 (and (= @t86 @t1399) (= @t33 @t1399)))))) % 54.38/54.68 (assume @p993 (forall @t65 (=> (= @t1485 @t661) (or (= @t58 @t661) (= @t58 @t1399))))) % 54.38/54.68 (assume @p994 (forall @t106 (= @t1489 (tptp.hAPP @t1487 @t1486)))) % 54.38/54.68 (assume @p995 (forall @t65 (= @t1486 (tptp.hAPP @t1487 (tptp.hAPP (tptp.hAPP @t514 @t1488) @t9))))) % 54.38/54.68 (assume @p996 (forall @t478 (=> @t793 (= (tptp.hAPP @t621 @t1399) @t1467)))) % 54.38/54.68 (assume @p997 (forall @t1303 (= (tptp.hAPP @t1279 @t1399) @t1275))) % 54.38/54.68 (assume @p998 (forall @t530 (= @t1408 (tptp.hAPP @t1080 @t661)))) % 54.38/54.68 (assume @p999 (forall @t106 (=> @t110 @t1492))) % 54.38/54.68 (assume @p1000 (forall @t106 (=> @t110 (and @t1447 @t1492)))) % 54.38/54.68 (assume @p1001 (forall @t1369 (= (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t1389 @t33) @t359))) (and (=> @t360 @t720) (=> @t1495 (forall @t1404 (=> @t1494 (=> @t1493 @t1266)))))))) % 54.38/54.68 (assume @p1002 (forall @t30 (=> @t633 (=> @t635 (= @t1497 @t1496))))) % 54.38/54.68 (assume @p1003 (forall @t30 (=> @t633 (= @t1496 @t1497)))) % 54.38/54.68 (assume @p1004 (forall @t1281 (=> @t1184 (=> @t1402 (= @t1444 @t1401))))) % 54.38/54.68 (assume @p1005 (forall @t1274 (=> @t1298 (= (tptp.hAPP (tptp.hAPP @t1261 @t1399) @t153) @t1399)))) % 54.38/54.68 (assume @p1006 (forall @t106 (=> @t110 (=> @t296 @t1491)))) % 54.38/54.68 (assume @p1007 (forall (@list @t86 @t1499 @t33) (=> @t82 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t362 @t1499)) @t86)) (tptp.hBOOL (tptp.hAPP @t89 (tptp.hAPP @t362 (tptp.hAPP tptp.c_Nat_OSuc @t1499))))) (= @t1499 @t1498))))) % 54.38/54.68 (assume @p1008 (forall (@list @t33 @t86 @t111) (= (tptp.hBOOL (tptp.hAPP @t111 @t1498)) (or (and @t83 @t720) (exists @t1459 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t362 @t1458)) @t86)) (tptp.hBOOL (tptp.hAPP @t89 (tptp.hAPP @t362 (tptp.hAPP tptp.c_Nat_OSuc @t1458)))) (tptp.hBOOL (tptp.hAPP @t111 @t1458)))))))) % 54.38/54.68 (assume @p1009 (forall @t1105 (=> @t793 (= (tptp.hAPP @t787 @t1408) (tptp.hAPP @t1146 @t1104))))) % 54.38/54.68 (assume @p1010 (forall (@list @t27 @t1500 @t1370 @t1371) (=> (= @t1371 (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1377 @t1500)) @t27)) (=> (and (=> @t1375 (and @t635 (tptp.hBOOL (tptp.hAPP @t519 @t1370)))) (=> @t1376 (and (tptp.hBOOL (tptp.hAPP @t1374 @t27)) (tptp.hBOOL (tptp.hAPP @t1236 @t511))))) (=> @t1372 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1371 @t1370) @t27)))))) % 54.38/54.68 (assume @p1011 (forall @t1502 (=> @t1337 (=> @t1210 (=> @t1211 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1501) @t511))))))) % 54.38/54.68 (assume @p1012 (forall @t1502 (=> @t1337 (=> @t1210 (=> @t1211 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1336) @t1501))))))) % 54.38/54.68 (assume @p1013 (forall @t1503 (=> @t1337 (=> @t1180 (=> @t1200 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1501) @t1336))))))) % 54.38/54.68 (assume @p1014 (forall @t1503 (=> @t1337 (=> @t1180 (=> @t1200 (tptp.hBOOL (tptp.hAPP @t528 @t1501))))))) % 54.38/54.68 (assume @p1015 (forall @t1369 (= (tptp.hBOOL (tptp.hAPP @t111 @t1405)) (and (=> @t1313 @t1269) (=> @t1318 (forall @t1404 (=> @t1367 @t1504))) (=> @t1366 (forall @t1404 (=> @t1364 @t1504))))))) % 54.38/54.68 (assume @p1016 (forall @t1338 (=> @t1337 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t149 @t1336) (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1201 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1282 @t150))) @t1444))))) % 54.38/54.68 (assume @p1017 (forall @t1454 (=> @t1507 (and (=> @t1481 (= @t1277 @t1505)) (=> @t1482 (= @t1277 @t1506)))))) % 54.38/54.68 (assume @p1018 (forall @t1454 (=> @t1507 (and (=> @t1481 (= @t1280 @t1505)) (=> @t1482 (= @t1280 @t1506)))))) % 54.38/54.68 (assume @p1019 (forall @t1510 (and (=> @t1255 (= @t1509 @t56)) (=> @t1256 (= @t1509 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1508 @t1357))))))) % 54.38/54.68 (assume @p1020 (forall @t1407 (=> @t1318 (= @t1406 (forall @t1404 (=> @t1367 @t1403)))))) % 54.38/54.68 (assume @p1021 (forall @t1386 (and (=> @t1383 (= @t1511 @t1461)) (=> @t1384 (= @t1511 @t1463))))) % 54.38/54.68 (assume @p1022 (forall @t1390 (and (=> @t1358 (= @t1512 @t221)) (=> @t1359 (= @t1512 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t661 @t1357))))))) % 54.38/54.68 (assume @p1023 (forall @t1510 (and (=> @t1255 (= @t1513 @t56)) (=> @t1256 (and (=> @t1358 (= @t1513 @t1092)) (=> @t1359 (= @t1513 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t808 @t1357))))))))) % 54.38/54.68 (assume @p1024 (forall (@list @t28 @t134 @t407) (=> @t1516 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t134) (tptp.hAPP @t816 @t1515)))))) % 54.38/54.68 (assume @p1025 (forall (@list @t134 @t28 @t407) (=> @t1516 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP @t1234 @t1515)) @t134))))) % 54.38/54.68 (assume @p1026 (forall @t1232 (and (=> @t1518 (= @t1517 @t663)) (=> @t1519 (= @t1517 @t1378))))) % 54.38/54.68 (assume @p1027 (forall @t1232 (and (=> @t1518 (= @t1520 @t663)) (=> @t1519 (= @t1520 @t1378))))) % 54.38/54.68 (assume @p1028 (forall @t1522 (=> @t802 (= (= @t268 @t799) (tptp.c_Int_Oiszero @t17 (tptp.hAPP @t798 (tptp.hAPP @t1521 @t1271))))))) % 54.38/54.68 (assume @p1029 (forall @t344 (=> @t1525 (= (tptp.hAPP @t1523 @t1524) @t1524)))) % 54.38/54.68 (assume @p1030 (forall @t344 (=> @t1525 (tptp.hBOOL (tptp.hAPP @t158 @t1524))))) % 54.38/54.68 (assume @p1031 (forall @t174 (=> @t1525 (=> @t1526 @t160)))) % 54.38/54.68 (assume @p1032 (forall @t478 (=> @t1525 (= (tptp.hAPP @t1523 @t261) @t261)))) % 54.38/54.68 (assume @p1033 (forall @t744 (=> @t1529 (= (= @t1528 @t268) @t348)))) % 54.38/54.68 (assume @p1034 (forall @t174 (=> @t1525 (= (tptp.hAPP @t1523 @t1531) @t1531)))) % 54.38/54.68 (assume @p1035 (forall @t174 (=> @t280 @t1534))) % 54.38/54.68 (assume @p1036 (forall @t344 (=> @t280 (= (tptp.hAPP @t1532 @t1524) @t377)))) % 54.38/54.68 (assume @p1037 (forall @t174 (=> @t1525 (= @t1536 @t1535)))) % 54.38/54.68 (assume @p1038 (forall @t478 (=> @t280 (= (tptp.hAPP @t1523 @t645) @t645)))) % 54.38/54.68 (assume @p1039 (forall @t344 (=> @t1525 (= (tptp.hAPP @t1523 @t834) @t1524)))) % 54.38/54.68 (assume @p1040 (forall @t326 (=> @t280 (= @t1539 @t1538)))) % 54.38/54.68 (assume @p1041 (forall @t454 (=> @t280 (= (tptp.hAPP @t1523 @t334) @t334)))) % 54.38/54.68 (assume @p1042 (forall @t65 (= @t1542 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1541 @t9)))) % 54.38/54.68 (assume @p1043 (forall @t65 @t1543)) % 54.38/54.68 (assume @p1044 (forall @t65 (tptp.hBOOL (tptp.hAPP @t1544 @t58)))) % 54.38/54.68 (assume @p1045 (forall @t73 (= (tptp.hAPP @t1514 @t531) @t531))) % 54.38/54.68 (assume @p1046 (forall @t854 (= (tptp.hAPP @t304 @t1540) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1057 @t1056)))) % 54.38/54.68 (assume @p1047 (forall @t322 (= (tptp.hAPP (tptp.hAPP @t288 @t1540) @t239) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1055 @t321)))) % 54.38/54.68 (assume @p1048 (= tptp.c_Int_OPls @t511)) % 54.38/54.68 (assume @p1049 (tptp.hBOOL (tptp.hAPP @t1545 tptp.c_Int_OPls))) % 54.38/54.68 (assume @p1050 (not (tptp.hBOOL (tptp.hAPP @t1546 tptp.c_Int_OPls)))) % 54.38/54.68 (assume @p1051 (forall @t530 (= (tptp.hAPP @t1080 tptp.c_Int_OPls) @t239))) % 54.38/54.68 (assume @p1052 (forall @t530 (= (tptp.hAPP @t1521 @t239) @t239))) % 54.38/54.68 (assume @p1053 (forall @t604 (= (tptp.hAPP (tptp.hAPP @t514 tptp.c_Int_OPls) @t596) tptp.c_Int_OPls))) % 54.38/54.68 (assume @p1054 (forall @t530 (= (tptp.hAPP @t1409 tptp.c_Int_OPls) @t239))) % 54.38/54.68 (assume @p1055 (= @t1547 tptp.c_Int_OPls)) % 54.38/54.68 (assume @p1056 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 54.38/54.68 (assume @p1057 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 54.38/54.68 (assume @p1058 (forall @t344 (=> @t1525 (tptp.hBOOL (tptp.hAPP @t262 @t1524))))) % 54.38/54.68 (assume @p1059 (forall @t744 (=> @t1529 (= (tptp.hBOOL (tptp.hAPP @t1548 @t268)) @t348)))) % 54.38/54.68 (assume @p1060 (forall @t344 (=> @t1525 (=> @t263 @t1549)))) % 54.38/54.68 (assume @p1061 (forall @t344 (=> @t1525 (not (tptp.hBOOL (tptp.hAPP @t1550 @t261)))))) % 54.38/54.68 (assume @p1062 (forall @t744 (=> @t1529 (= (tptp.hBOOL (tptp.hAPP @t269 @t1528)) @t1551)))) % 54.38/54.68 (assume @p1063 (forall @t344 (=> @t1525 (=> @t433 @t1549)))) % 54.38/54.68 (assume @p1064 (forall @t174 (=> @t1525 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 (tptp.hAPP @t1523 @t778)) @t1531))))) % 54.38/54.68 (assume @p1065 (forall @t1552 (=> @t280 (=> (tptp.hBOOL (tptp.hAPP @t1550 @t150)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1530) @t407)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1533) (tptp.hAPP @t401 @t407)))))))) % 54.38/54.68 (assume @p1066 (forall @t174 (=> @t1525 (tptp.hBOOL (tptp.hAPP @t1554 @t1535))))) % 54.38/54.68 (assume @p1067 (forall @t174 (=> @t1525 (tptp.hBOOL (tptp.hAPP @t1554 @t1536))))) % 54.38/54.68 (assume @p1068 (forall @t174 (=> @t1525 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 (tptp.hAPP @t1523 @t1553)) @t1536))))) % 54.38/54.68 (assume @p1069 (forall @t174 (=> @t1525 (=> @t1526 @t1556)))) % 54.38/54.68 (assume @p1070 (forall @t174 (=> @t1525 (=> @t160 (=> @t1556 @t1526))))) % 54.38/54.68 (assume @p1071 (forall @t352 (=> @t1529 (= (tptp.hBOOL (tptp.hAPP @t1548 @t346)) (and @t455 @t973))))) % 54.38/54.68 (assume @p1072 (forall @t344 (=> @t1525 (tptp.hBOOL (tptp.hAPP @t1555 @t1524))))) % 54.38/54.68 (assume @p1073 (forall @t352 (=> @t593 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t1528) @t346)) (and @t417 @t979))))) % 54.38/54.68 (assume @p1074 (forall @t326 (=> @t280 (= (tptp.hAPP @t1523 @t1172) @t1539)))) % 54.38/54.68 (assume @p1075 (forall @t73 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t58 @t221) @t56))) % 54.38/54.68 (assume @p1076 (forall @t65 (and (=> @t1557 (= @t1542 @t56)) (=> (not @t1557) (= @t1542 @t1541))))) % 54.38/54.68 (assume @p1077 (forall @t106 (=> @t110 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t1540) @t9))))) % 54.38/54.68 (assume @p1078 (forall @t1460 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t86 @t863) @t56) (exists @t1459 (= @t86 (tptp.hAPP (tptp.hAPP @t288 @t863) @t1458)))))) % 54.38/54.68 (assume @p1079 (forall @t65 (and @t1543 @t1560))) % 54.38/54.68 (assume @p1080 (forall @t65 @t1560)) % 54.38/54.68 (assume @p1081 (forall @t918 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1561 @t9) @t1540))) % 54.38/54.68 (assume @p1082 (forall @t106 (=> @t296 @t1559))) % 54.38/54.68 (assume @p1083 (forall @t65 (=> (= (tptp.hAPP @t1514 @t1485) @t661) (= (tptp.hAPP @t1514 @t58) @t661)))) % 54.38/54.68 (assume @p1084 (forall @t478 (=> @t793 (= @t1562 @t261)))) % 54.38/54.68 (assume @p1085 (forall @t478 (=> @t793 (= @t261 @t1562)))) % 54.38/54.68 (assume @p1086 (forall @t30 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t576 @t579) (tptp.hAPP @t509 @t1563)))) % 54.38/54.68 (assume @p1087 (forall @t1281 (= (tptp.hAPP @t509 @t1564) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1457 @t1456)))) % 54.38/54.68 (assume @p1088 (forall @t344 (=> @t793 (= (tptp.hAPP (tptp.hAPP @t733 @t1562) @t149) @t149)))) % 54.38/54.68 (assume @p1089 (forall @t344 (=> @t793 (= (tptp.hAPP @t773 @t1562) @t149)))) % 54.38/54.68 (assume @p1090 (forall @t1105 (=> @t280 (= @t1565 (tptp.hAPP (tptp.hAPP @t313 @t239) (tptp.c_Groups_Osgn__class_Osgn @t10 @t239)))))) % 54.38/54.68 (assume @p1091 (forall @t78 (=> @t280 (= (tptp.hAPP (tptp.hAPP @t313 @t1110) @t1566) @t28)))) % 54.38/54.68 (assume @p1092 (forall @t1155 (= (tptp.hAPP (tptp.hAPP @t1389 @t1569) @t150) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t1430 @t150)) @t1568)) (tptp.hAPP (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t760 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t149 @t150)) @t1567)) @t150))))) % 54.38/54.68 (assume @p1093 (not (tptp.hBOOL (tptp.hAPP @t1546 @t511)))) % 54.38/54.68 (assume @p1094 (= @t1570 @t56)) % 54.38/54.68 (assume @p1095 (= @t56 @t1570)) % 54.38/54.68 (assume @p1096 (= @t511 @t1571)) % 54.38/54.68 (assume @p1097 (tptp.hBOOL (tptp.hAPP @t1434 tptp.c_Int_OPls))) % 54.38/54.68 (assume @p1098 (not (tptp.hBOOL (tptp.hAPP @t1545 tptp.c_Int_OMin)))) % 54.38/54.68 (assume @p1099 (not (tptp.hBOOL (tptp.hAPP @t1546 tptp.c_Int_OMin)))) % 54.38/54.68 (assume @p1100 (tptp.hBOOL (tptp.hAPP @t1435 tptp.c_Int_OPls))) % 54.38/54.68 (assume @p1101 (not (= @t1571 @t1399))) % 54.38/54.68 (assume @p1102 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1571)))) % 54.38/54.68 (assume @p1103 (forall @t478 (=> @t793 (tptp.c_Int_Oiszero @t10 @t1562)))) % 54.38/54.68 (assume @p1104 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 54.38/54.68 (assume @p1105 (forall @t121 (=> @t280 (=> @t711 (= (tptp.hAPP (tptp.hAPP @t313 (tptp.hAPP @t1523 @t27)) @t28) (tptp.hAPP @t1523 @t708)))))) % 54.38/54.68 (assume @p1106 (forall @t174 (=> (tptp.class_Rings_Oordered__ring__abs @t10) (=> (and (or @t263 @t394) (or @t276 @t392)) @t1534)))) % 54.38/54.68 (assume @p1107 (forall @t411 (=> @t1525 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 (tptp.hAPP @t1523 (tptp.hAPP @t882 @t777))) (tptp.hAPP (tptp.hAPP @t733 (tptp.hAPP @t1523 (tptp.hAPP @t883 @t150))) (tptp.hAPP @t1523 (tptp.hAPP @t889 @t407)))))))) % 54.38/54.68 (assume @p1108 (forall @t174 (=> @t1525 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1536) @t1531))))) % 54.38/54.68 (assume @p1109 (forall @t344 (=> @t1525 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 (tptp.hAPP @t818 @t1524)) @t261))))) % 54.38/54.68 (assume @p1110 (forall @t344 (=> @t1525 (=> @t394 @t1572)))) % 54.38/54.68 (assume @p1111 (forall @t344 (=> (tptp.class_Groups_Oabs__if @t10) (and @t1573 (=> (not @t438) @t1549))))) % 54.38/54.68 (assume @p1112 (forall @t344 (=> @t1525 @t1573))) % 54.38/54.68 (assume @p1113 (forall @t326 (=> @t280 (tptp.hBOOL (tptp.hAPP @t262 @t1538))))) % 54.38/54.68 (assume @p1114 (forall @t478 (=> @t1574 (= (tptp.hAPP @t1523 @t1467) @t645)))) % 54.38/54.68 (assume @p1115 (forall @t106 (=> @t110 (tptp.hBOOL (tptp.hAPP @t1544 @t9))))) % 54.38/54.68 (assume @p1116 (forall @t675 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1575) @t661)) @t628))) % 54.38/54.68 (assume @p1117 (forall @t1037 (and (=> @t1577 (= @t1576 (tptp.hAPP @t729 @t240))) (=> (not @t1577) (= @t1576 @t240))))) % 54.38/54.68 (assume @p1118 (forall @t918 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1561) @t9) @t1542))) % 54.38/54.68 (assume @p1119 (forall @t1163 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1514 @t606)) (tptp.hAPP (tptp.hAPP @t288 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1514 @t596))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1514 @t134)))))) % 54.38/54.68 (assume @p1120 (forall @t1155 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t149 @t1433) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t1432 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1431 @t150))) @t1564)))) % 54.38/54.68 (assume @p1121 (forall @t1155 (= (tptp.hAPP (tptp.hAPP @t1389 @t1579) @t150) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t1578 @t1568)) (tptp.hAPP (tptp.hAPP @t1389 (tptp.hAPP @t1578 @t1567)) @t150))))) % 54.38/54.68 (assume @p1122 (forall @t577 (tptp.hBOOL (tptp.hAPP @t528 (tptp.hAPP (tptp.hAPP @t532 @t1580) @t9))))) % 54.38/54.68 (assume @p1123 (forall @t65 (= @t1582 @t1581))) % 54.38/54.68 (assume @p1124 (forall @t106 (= (tptp.hAPP @t320 @t1428) @t1581))) % 54.38/54.68 (assume @p1125 (forall @t65 (= @t1540 (tptp.hAPP @t767 @t1582)))) % 54.38/54.68 (assume @p1126 (forall @t1586 (= @t1585 @t1584))) % 54.38/54.68 (assume @p1127 (forall @t1586 (= (= @t56 @t1349) @t1584))) % 54.38/54.68 (assume @p1128 (tptp.hBOOL (tptp.hAPP @t528 @t1571))) % 54.38/54.68 (assume @p1129 (forall @t1350 (= (tptp.hBOOL (tptp.hAPP @t1588 @t1348)) (and (=> @t1587 (tptp.hBOOL (tptp.hAPP @t1546 @t1344))) @t1587)))) % 54.38/54.68 (assume @p1130 (forall @t1350 (= (tptp.hBOOL (tptp.hAPP @t1589 @t1348)) (=> (not (tptp.hBOOL (tptp.hAPP @t1583 @t1344))) @t1584)))) % 54.38/54.68 (assume @p1131 (forall @t78 (=> @t1574 (and (=> @t1592 (= @t1591 (tptp.hAPP @t818 @t1590))) (=> (not @t1592) (= @t1591 @t1590)))))) % 54.38/54.68 (assume @p1132 (forall @t454 (=> @t1574 (= (tptp.hAPP @t1523 (tptp.hAPP @t1593 @t9)) @t645)))) % 54.38/54.68 (assume @p1133 (forall @t1369 (= (tptp.hBOOL (tptp.hAPP @t111 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t33 @t359))) (and (=> @t360 @t1269) (=> @t1495 (forall @t1404 (=> @t1494 (=> @t1493 @t1504)))))))) % 54.38/54.68 (assume @p1134 (forall @t1503 (=> @t1595 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t1140) @t153)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t1594) @t1433)))))) % 54.38/54.68 (assume @p1135 (forall (@list @t58 @t239) (=> (tptp.hBOOL (tptp.hAPP @t1474 @t239)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1057) @t239) @t663)))) % 54.38/54.68 (assume @p1136 (forall @t30 (=> @t633 (=> @t635 (= @t1597 @t1596))))) % 54.38/54.68 (assume @p1137 (forall @t30 (=> @t633 (=> @t635 (= @t1596 @t1597))))) % 54.38/54.68 (assume @p1138 (forall @t475 (= (tptp.hBOOL (tptp.hAPP @t513 (tptp.hAPP (tptp.hAPP @t532 @t1598) @t33))) (or (not (= @t125 @t511)) @t83)))) % 54.38/54.68 (assume @p1139 (forall @t1522 (=> @t1130 (= (tptp.hBOOL (tptp.hAPP @t383 @t799)) (tptp.hBOOL (tptp.hAPP @t1545 @t176)))))) % 54.38/54.68 (assume @p1140 (forall @t282 (=> @t1130 (= (tptp.hBOOL (tptp.hAPP @t1129 @t268)) (tptp.hBOOL (tptp.hAPP @t701 tptp.c_Int_OPls)))))) % 54.38/54.68 (assume @p1141 (forall @t1522 (=> @t1130 (= (tptp.hBOOL (tptp.hAPP @t269 @t799)) (tptp.hBOOL (tptp.hAPP @t1546 @t176)))))) % 54.38/54.68 (assume @p1142 (forall @t282 (=> @t1130 (= (tptp.hBOOL (tptp.hAPP @t1138 @t268)) (tptp.hBOOL (tptp.hAPP @t717 tptp.c_Int_OPls)))))) % 54.38/54.68 (assume @p1143 (forall @t1586 (= (tptp.hBOOL (tptp.hAPP @t81 @t1349)) (tptp.hBOOL (tptp.hAPP @t1546 @t751))))) % 54.38/54.68 (assume @p1144 (forall @t1510 (and (=> @t1518 (= @t1599 @t1353)) (=> @t1519 (and (=> @t1600 (= @t1599 @t1092)) (=> (not @t1600) (= @t1599 @t1352))))))) % 54.38/54.68 (assume @p1145 (forall @t1510 (and (=> @t1518 (= @t1603 @t56)) (=> @t1519 (= @t1603 @t1601))))) % 54.38/54.68 (assume @p1146 (forall @t1360 (and (=> @t1518 (= @t1604 @t56)) (=> @t1519 (= @t1604 (tptp.hAPP (tptp.hAPP @t288 @t1601) @t239)))))) % 54.38/54.68 (assume @p1147 (forall @t282 (=> @t802 (= (= @t800 @t268) (tptp.c_Int_Oiszero @t17 (tptp.hAPP @t798 (tptp.hAPP @t1272 @t1547))))))) % 54.38/54.68 (assume @p1148 (forall @t1232 (and (=> @t1606 (= @t1247 @t56)) (=> (not @t1606) (= @t1247 @t1605))))) % 54.38/54.68 (assume @p1149 (forall (@list @t58 @t731) (=> (tptp.hBOOL (tptp.hAPP @t1546 @t731)) (= (tptp.hAPP @t1026 @t1092) (tptp.hAPP @t767 @t1605))))) % 54.38/54.68 (assume @p1150 (forall @t1522 (=> @t802 (= (= @t651 @t799) (tptp.c_Int_Oiszero @t17 (tptp.hAPP @t798 (tptp.hAPP @t1608 @t1271))))))) % 54.38/54.68 (assume @p1151 (forall @t282 (=> @t802 (= (= @t800 @t651) (tptp.c_Int_Oiszero @t17 (tptp.hAPP @t798 (tptp.hAPP @t1272 @t1609))))))) % 54.38/54.68 (assume @p1152 (forall @t832 (=> @t793 (= (tptp.hAPP (tptp.hAPP @t789 @t645) @t790) (tptp.hAPP @t787 (tptp.hAPP @t1608 @t795)))))) % 54.38/54.68 (assume @p1153 (forall @t933 (=> @t793 (= (tptp.hAPP @t804 @t645) (tptp.hAPP @t787 (tptp.hAPP @t785 @t1609)))))) % 54.38/54.68 (assume @p1154 (forall (@list @t359 @t2 @t33) (=> (forall @t1268 (=> @t1617 @t1615)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1614) @t359)) (=> @t1613 (exists @t1268 (and @t1612 @t1611))))))) % 54.38/54.68 (assume @p1155 (forall @t530 (= (tptp.hAPP @t729 @t1618) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t1165))))) % 54.38/54.68 (assume @p1156 (forall @t1050 (= (= @t1621 @t1620) @t1619))) % 54.38/54.68 (assume @p1157 (forall @t1050 (= (tptp.hBOOL (tptp.hAPP @t1622 @t1620)) @t1047))) % 54.38/54.68 (assume @p1158 (forall @t1629 (= (tptp.hBOOL (tptp.hAPP @t1628 @t1626)) @t1625))) % 54.38/54.68 (assume @p1159 (forall @t1629 (= (tptp.hBOOL (tptp.hAPP @t1631 @t1626)) @t1630))) % 54.38/54.68 (assume @p1160 (forall @t1050 (= (tptp.hBOOL (tptp.hAPP @t1632 @t1620)) @t1054))) % 54.38/54.68 (assume @p1161 (forall @t1634 (not (= tptp.c_Int_OPls @t1633)))) % 54.38/54.68 (assume @p1162 (forall @t530 (not (= @t1618 tptp.c_Int_OPls)))) % 54.38/54.68 (assume @p1163 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 54.38/54.68 (assume @p1164 (forall @t1635 (= (= tptp.c_Int_OMin @t1620) (= tptp.c_Int_OMin @t1045)))) % 54.38/54.68 (assume @p1165 (forall @t1636 (= (= @t1621 tptp.c_Int_OMin) (= @t359 tptp.c_Int_OMin)))) % 54.38/54.68 (assume @p1166 (forall @t1263 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t28)) @t28))) % 54.38/54.68 (assume @p1167 (forall @t1639 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1638) @t511)) @t1637))) % 54.38/54.68 (assume @p1168 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1545 @t1621)) @t1640))) % 54.38/54.68 (assume @p1169 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1632 tptp.c_Int_OPls)) @t1641))) % 54.38/54.68 (assume @p1170 (forall @t530 (= @t1618 (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t746 @t239)) @t239)))) % 54.38/54.68 (assume @p1171 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1622 tptp.c_Int_OMin)) @t1642))) % 54.38/54.68 (assume @p1172 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1434 @t1621)) (tptp.hBOOL (tptp.hAPP @t1434 @t359))))) % 54.38/54.68 (assume @p1173 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1435 @t1621)) @t1643))) % 54.38/54.68 (assume @p1174 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1632 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t1053 tptp.c_Int_OMin))))) % 54.38/54.68 (assume @p1175 (forall @t1639 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t752 @t1638))) @t1645))) % 54.38/54.68 (assume @p1176 (forall @t832 (=> (and @t793 (tptp.class_Int_Oring__char__0 @t10)) (not (tptp.c_Int_Oiszero @t10 @t1646))))) % 54.38/54.68 (assume @p1177 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t1607)) % 54.38/54.68 (assume @p1178 (forall @t1050 (= @t1047 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 (tptp.c_Int_Opred @t359)) @t1045))))) % 54.38/54.68 (assume @p1179 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 54.38/54.68 (assume @p1180 (forall @t530 (= @t1647 (tptp.hAPP @t1409 @t661)))) % 54.38/54.68 (assume @p1181 (forall @t530 (= (tptp.hAPP @t1080 tptp.c_Int_OMin) @t1647))) % 54.38/54.68 (assume @p1182 (forall @t530 (= (tptp.hAPP (tptp.hAPP @t745 tptp.c_Int_OMin) @t239) @t1647))) % 54.38/54.68 (assume @p1183 (forall @t832 (=> @t793 (= @t1646 (tptp.hAPP (tptp.hAPP @t733 @t1648) @t790))))) % 54.38/54.68 (assume @p1184 (forall @t344 (=> @t793 (= (tptp.hAPP @t316 @t1649) @t149)))) % 54.38/54.68 (assume @p1185 (forall @t344 (=> @t793 (= (tptp.hAPP (tptp.hAPP @t313 @t1649) @t149) @t149)))) % 54.38/54.68 (assume @p1186 (forall @t478 (=> @t793 (= @t1649 @t645)))) % 54.38/54.68 (assume @p1187 (forall @t478 (=> @t793 (= @t645 @t1649)))) % 54.38/54.68 (assume @p1188 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1622 tptp.c_Int_OPls)) @t1641))) % 54.38/54.68 (assume @p1189 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1546 @t1621)) @t1640))) % 54.38/54.68 (assume @p1190 (= @t661 (tptp.hAPP @t752 @t1607))) % 54.38/54.68 (assume @p1191 (= @t663 @t1650)) % 54.38/54.68 (assume @p1192 (= @t1650 @t663)) % 54.38/54.68 (assume @p1193 (forall @t1634 (= (tptp.hAPP @t1654 @t1633) @t1653))) % 54.38/54.68 (assume @p1194 (= (tptp.hAPP @t729 tptp.c_Int_OMin) @t1607)) % 54.38/54.68 (assume @p1195 (forall @t478 (=> @t793 (not (tptp.c_Int_Oiszero @t10 @t1649))))) % 54.38/54.68 (assume @p1196 (= @t1650 @t221)) % 54.38/54.68 (assume @p1197 (= @t1657 (tptp.hAPP tptp.c_Nat_OSuc @t1655))) % 54.38/54.68 (assume @p1198 (forall @t344 (=> @t325 (= (tptp.hAPP @t257 @t1657) (tptp.hAPP (tptp.hAPP @t313 @t377) @t149))))) % 54.38/54.68 (assume @p1199 (tptp.hBOOL (tptp.hAPP @t528 @t1658))) % 54.38/54.68 (assume @p1200 (forall @t23 (= @t1662 @t1660))) % 54.38/54.68 (assume @p1201 (= @t1658 (tptp.hAPP @t509 @t1657))) % 54.38/54.68 (assume @p1202 (= @t1657 (tptp.hAPP tptp.c_Int_Onat @t1658))) % 54.38/54.68 (assume @p1203 (forall @t282 (=> @t1130 (= (tptp.hBOOL (tptp.hAPP @t1129 @t651)) (tptp.hBOOL (tptp.hAPP @t701 @t1607)))))) % 54.38/54.68 (assume @p1204 (forall @t1522 (=> @t1130 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t651) @t799)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1607) @t176)))))) % 54.38/54.68 (assume @p1205 (forall @t282 (=> @t1130 (= (tptp.hBOOL (tptp.hAPP @t1138 @t651)) (tptp.hBOOL (tptp.hAPP @t717 @t1607)))))) % 54.38/54.68 (assume @p1206 (forall @t1522 (=> @t1130 (= (tptp.hBOOL (tptp.hAPP @t652 @t799)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1607) @t176)))))) % 54.38/54.68 (assume @p1207 (forall @t933 (=> @t793 (= (tptp.hAPP @t792 @t645) (tptp.hAPP @t787 (tptp.hAPP @t785 @t1607)))))) % 54.38/54.68 (assume @p1208 (forall @t832 (=> @t793 (= @t1648 (tptp.hAPP @t787 (tptp.hAPP @t1608 @t596)))))) % 54.38/54.68 (assume @p1209 (forall @t106 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t1570) @t9)) (= @t1027 (tptp.hAPP @t767 (tptp.hAPP @t891 @t1650)))))) % 54.38/54.68 (assume @p1210 (forall @t832 (=> @t793 (= (tptp.hAPP @t787 (tptp.c_Int_Opred @t596)) (tptp.hAPP (tptp.hAPP @t733 @t1109) @t790))))) % 54.38/54.68 (assume @p1211 (forall @t65 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t58 @t1662) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t58 @t1660)))) % 54.38/54.68 (assume @p1212 (forall @t65 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1665 @t9) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1663 @t9)))) % 54.38/54.68 (assume @p1213 (forall @t1666 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1665 @t1092) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1663 @t1092)))) % 54.38/54.68 (assume @p1214 (forall @t65 (= (tptp.hAPP @t1427 @t1662) (tptp.hAPP @t1427 @t1660)))) % 54.38/54.68 (assume @p1215 (forall @t65 (= (tptp.hAPP @t1668 @t9) (tptp.hAPP @t1667 @t9)))) % 54.38/54.68 (assume @p1216 (forall @t1666 (= (tptp.hAPP @t1668 @t1092) (tptp.hAPP @t1667 @t1092)))) % 54.38/54.68 (assume @p1217 (forall @t1586 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1669)) @t1585))) % 54.38/54.68 (assume @p1218 (forall @t1681 (and (=> @t1678 (= @t1677 (tptp.hAPP (tptp.hAPP @t745 @t1680) @t661))) (=> @t1679 (= @t1677 (tptp.hAPP (tptp.hAPP @t829 (tptp.hAPP @t1673 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1670 @t807))) @t661)))))) % 54.38/54.68 (assume @p1219 (forall @t1281 (=> @t1330 (= @t1686 (tptp.hAPP (tptp.hAPP @t829 (tptp.hAPP @t1673 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1682 @t149))) @t661))))) % 54.38/54.68 (assume @p1220 (forall @t1281 (=> @t1323 (= @t1687 (tptp.hAPP @t1465 @t149))))) % 54.38/54.68 (assume @p1221 (forall @t1281 (=> @t1330 (= @t1687 (tptp.hAPP (tptp.hAPP @t1261 @t1682) @t149))))) % 54.38/54.68 (assume @p1222 (forall @t1281 (=> @t1323 (= @t1686 (tptp.hAPP @t746 (tptp.hAPP @t1673 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t153 @t149))))))) % 54.38/54.68 (assume @p1223 (forall @t78 (=> @t336 (=> @t633 (= (tptp.hAPP @t333 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1673 @t28))) (tptp.hAPP (tptp.hAPP @t733 @t1688) @t1688)))))) % 54.38/54.68 (assume @p1224 (forall @t23 (=> @t110 (tptp.hBOOL (tptp.hAPP @t81 (tptp.hAPP (tptp.hAPP @t1389 @t1063) @t1689)))))) % 54.38/54.68 (assume @p1225 (forall @t1050 (= (= @t1691 @t1690) @t1619))) % 54.38/54.68 (assume @p1226 (forall @t1629 (= (tptp.hBOOL (tptp.hAPP @t1694 @t1692)) @t1625))) % 54.38/54.68 (assume @p1227 (forall @t1050 (= (tptp.hBOOL (tptp.hAPP @t1695 @t1690)) @t1047))) % 54.38/54.68 (assume @p1228 (forall @t1050 (= (tptp.hBOOL (tptp.hAPP @t1696 @t1690)) @t1054))) % 54.38/54.68 (assume @p1229 (forall @t1629 (= (tptp.hBOOL (tptp.hAPP @t1697 @t1692)) @t1630))) % 54.38/54.68 (assume @p1230 (forall @t1636 (= (= @t1691 tptp.c_Int_OPls) (= @t359 tptp.c_Int_OPls)))) % 54.38/54.68 (assume @p1231 (forall @t1635 (= (= tptp.c_Int_OPls @t1690) (= tptp.c_Int_OPls @t1045)))) % 54.38/54.68 (assume @p1232 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 54.38/54.68 (assume @p1233 (forall @t1464 (not (= @t1618 @t1698)))) % 54.38/54.68 (assume @p1234 (forall @t1464 (not (= @t1699 @t1633)))) % 54.38/54.68 (assume @p1235 (forall @t1464 (= (tptp.hAPP @t1701 @t1698) (tptp.c_Int_OBit0 @t1700)))) % 54.38/54.68 (assume @p1236 (forall @t530 (= @t1699 (tptp.hAPP @t1080 @t239)))) % 54.38/54.68 (assume @p1237 (forall @t1464 (= (tptp.hAPP (tptp.hAPP @t514 @t1699) @t308) @t1702))) % 54.38/54.68 (assume @p1238 (forall @t1464 (= (tptp.hAPP @t1705 @t1698) @t1704))) % 54.38/54.68 (assume @p1239 (forall @t530 (= (tptp.hAPP @t729 @t1699) (tptp.c_Int_OBit0 @t1165)))) % 54.38/54.68 (assume @p1240 (forall @t530 (not (= @t1699 tptp.c_Int_OMin)))) % 54.38/54.68 (assume @p1241 (forall @t1634 (not (= tptp.c_Int_OMin @t1698)))) % 54.38/54.68 (assume @p1242 (forall @t1639 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t1706) @t511)) @t1637))) % 54.38/54.68 (assume @p1243 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1545 @t1691)) @t1640))) % 54.38/54.68 (assume @p1244 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1695 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t1046 tptp.c_Int_OPls))))) % 54.38/54.68 (assume @p1245 (forall @t1050 (= (tptp.hBOOL (tptp.hAPP @t1695 @t1620)) @t1047))) % 54.38/54.68 (assume @p1246 (forall @t1629 (= (tptp.hBOOL (tptp.hAPP @t1694 @t1626)) @t1625))) % 54.38/54.68 (assume @p1247 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1696 tptp.c_Int_OPls)) @t1641))) % 54.38/54.68 (assume @p1248 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1546 @t1691)) (tptp.hBOOL (tptp.hAPP @t1546 @t359))))) % 54.38/54.68 (assume @p1249 (forall @t1629 (= (tptp.hBOOL (tptp.hAPP @t1631 @t1692)) @t1630))) % 54.38/54.68 (assume @p1250 (forall @t1050 (= (tptp.hBOOL (tptp.hAPP @t1632 @t1690)) @t1054))) % 54.38/54.68 (assume @p1251 (forall @t1464 (= (tptp.hAPP @t1708 @t1698) @t1707))) % 54.38/54.68 (assume @p1252 (forall @t1464 (= (tptp.hAPP @t1701 @t1633) @t1707))) % 54.38/54.68 (assume @p1253 (forall @t1634 (= (tptp.hAPP @t1654 @t1698) (tptp.c_Int_OBit0 (tptp.hAPP @t1654 @t308))))) % 54.38/54.68 (assume @p1254 (forall @t1464 (= (tptp.hAPP @t1709 @t1698) (tptp.c_Int_OBit1 @t1703)))) % 54.38/54.68 (assume @p1255 (forall @t1464 (= (tptp.hAPP @t1709 @t1633) @t1704))) % 54.38/54.68 (assume @p1256 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1695 tptp.c_Int_OMin)) @t1642))) % 54.38/54.68 (assume @p1257 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1435 @t1691)) @t1643))) % 54.38/54.68 (assume @p1258 (forall @t810 (= (tptp.hAPP (tptp.hAPP @t1261 @t1711) @t1675) @t1710))) % 54.38/54.68 (assume @p1259 (forall @t1639 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t752 @t1706))) @t1645))) % 54.38/54.68 (assume @p1260 (forall @t530 (= (tptp.c_Int_Opred @t1699) (tptp.c_Int_OBit1 @t1647)))) % 54.38/54.68 (assume @p1261 (forall @t530 (= (tptp.c_Int_Opred @t1618) @t1699))) % 54.38/54.68 (assume @p1262 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 54.38/54.68 (assume @p1263 (forall @t1712 (=> @t803 (= (tptp.c_Int_Oiszero @t17 (tptp.hAPP @t798 @t1706)) (tptp.c_Int_Oiszero @t17 @t812))))) % 54.38/54.68 (assume @p1264 (forall @t530 (= (tptp.c_Int_Osucc @t1699) @t1618))) % 54.38/54.68 (assume @p1265 (forall @t530 (= (tptp.c_Int_Osucc @t1618) (tptp.c_Int_OBit0 @t1408)))) % 54.38/54.68 (assume @p1266 (forall @t832 (=> @t793 (= @t1713 (tptp.hAPP (tptp.hAPP @t733 (tptp.hAPP @t995 @t790)) @t790))))) % 54.38/54.68 (assume @p1267 (forall @t1050 (= (tptp.hBOOL (tptp.hAPP @t1696 @t1620)) @t1047))) % 54.38/54.68 (assume @p1268 (forall @t1629 (= (tptp.hBOOL (tptp.hAPP @t1697 @t1626)) @t1625))) % 54.38/54.68 (assume @p1269 (forall @t1050 (= (tptp.hBOOL (tptp.hAPP @t1622 @t1690)) @t1054))) % 54.38/54.68 (assume @p1270 (forall @t1629 (= (tptp.hBOOL (tptp.hAPP @t1628 @t1692)) @t1630))) % 54.38/54.68 (assume @p1271 (forall @t1464 (= (tptp.hAPP (tptp.hAPP @t514 @t1618) @t308) (tptp.hAPP (tptp.hAPP @t745 @t1702) @t308)))) % 54.38/54.68 (assume @p1272 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1434 @t1691)) @t1643))) % 54.38/54.68 (assume @p1273 (forall @t1636 (= (tptp.hBOOL (tptp.hAPP @t1696 tptp.c_Int_OMin)) @t1642))) % 54.38/54.68 (assume @p1274 (forall @t1634 (= (tptp.hAPP @t1651 @t1698) @t1653))) % 54.38/54.68 (assume @p1275 (forall @t1634 (= (tptp.hAPP @t1651 @t1633) (tptp.c_Int_OBit0 @t1652)))) % 54.38/54.68 (assume @p1276 (forall @t1464 (= (tptp.hAPP @t1705 @t1633) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t829 @t1647) @t308))))) % 54.38/54.68 (assume @p1277 (forall @t1464 (= (tptp.hAPP @t1708 @t1633) (tptp.c_Int_OBit0 (tptp.hAPP @t1080 (tptp.c_Int_Osucc @t308)))))) % 54.38/54.68 (assume @p1278 (forall @t832 (=> @t793 (= (tptp.hAPP @t1148 @t790) @t1713)))) % 54.38/54.68 (assume @p1279 (forall @t23 (=> (tptp.hBOOL (tptp.hAPP @t528 @t1714)) (and (tptp.hBOOL (tptp.hAPP @t528 (tptp.hAPP @t752 (tptp.c_Int_OBit0 @t9)))) (tptp.hBOOL (tptp.hAPP @t528 (tptp.hAPP @t752 (tptp.c_Int_OBit1 @t9)))))))) % 54.38/54.68 (assume @p1280 (forall @t728 (=> @t793 (= (tptp.hAPP @t1718 @t134) @t1716)))) % 54.38/54.68 (assume @p1281 (forall @t728 (=> @t793 (= (tptp.hAPP @t1477 @t1717) @t1716)))) % 54.38/54.68 (assume @p1282 (forall @t478 (=> @t793 (= @t1147 @t1717)))) % 54.38/54.68 (assume @p1283 (forall @t478 (=> @t336 (= (tptp.hAPP @t452 @t1689) @t261)))) % 54.38/54.68 (assume @p1284 (forall @t744 (=> @t1120 (= (= @t1719 @t268) @t348)))) % 54.38/54.68 (assume @p1285 (= @t1655 @t1689)) % 54.38/54.68 (assume @p1286 (= @t1689 @t1655)) % 54.38/54.68 (assume @p1287 (forall @t78 (=> @t496 (= @t1166 @t1720)))) % 54.38/54.68 (assume @p1288 (forall @t344 (=> @t325 (= @t1721 @t377)))) % 54.38/54.68 (assume @p1289 (tptp.hBOOL (tptp.hAPP @t528 @t1672))) % 54.38/54.68 (assume @p1290 (forall @t23 (= (tptp.hAPP @t769 @t1689) @t1661))) % 54.38/54.68 (assume @p1291 (forall @t23 (= (tptp.hAPP (tptp.hAPP @t760 @t1689) @t9) @t1661))) % 54.38/54.68 (assume @p1292 (forall @t478 (=> @t336 (= (tptp.hAPP @t669 @t1689) @t645)))) % 54.38/54.68 (assume @p1293 (forall @t344 (=> @t624 (= (tptp.hAPP @t1171 @t1689) @t1721)))) % 54.38/54.68 (assume @p1294 (forall @t587 (= (tptp.hAPP @t1723 @t134) @t1722))) % 54.38/54.68 (assume @p1295 (forall @t587 (= (tptp.hAPP (tptp.hAPP @t288 @t134) @t1689) @t1722))) % 54.38/54.68 (assume @p1296 (forall @t326 (=> @t325 (= @t1726 @t1724)))) % 54.38/54.68 (assume @p1297 (= @t1672 (tptp.hAPP @t509 @t1689))) % 54.38/54.68 (assume @p1298 (= @t1689 @t1727)) % 54.38/54.68 (assume @p1299 (forall @t344 (=> @t280 (= (tptp.hAPP @t1523 @t1721) @t1721)))) % 54.38/54.68 (assume @p1300 (forall @t344 (=> @t280 (= (tptp.hAPP @t1537 @t1689) @t1721)))) % 54.38/54.68 (assume @p1301 (= (tptp.hAPP @t1061 @t663) @t1689)) % 54.38/54.68 (assume @p1302 (forall @t73 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1664 @t1689) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t58 @t1689)))) % 54.38/54.68 (assume @p1303 (forall @t73 (= (tptp.hAPP (tptp.hAPP @t1389 @t1664) @t1689) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1427 @t1689))))) % 54.38/54.68 (assume @p1304 (forall @t810 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1711 @t1675) @t1680))) % 54.38/54.68 (assume @p1305 (forall @t73 (= (tptp.hAPP (tptp.hAPP @t1389 (tptp.hAPP @t847 @t58)) @t1689) @t58))) % 54.38/54.68 (assume @p1306 (forall @t344 (=> @t280 (tptp.hBOOL (tptp.hAPP @t262 @t1721))))) % 54.38/54.68 (assume @p1307 (forall @t121 (=> @t264 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1720) @t1728)) (=> @t710 @t124))))) % 54.38/54.68 (assume @p1308 (forall @t121 (=> @t264 (=> (= @t1720 @t1728) (=> @t711 (=> @t710 @t29)))))) % 54.38/54.68 (assume @p1309 (forall @t344 (=> @t280 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1721) @t261)))))) % 54.38/54.68 (assume @p1310 (forall @t744 (=> @t593 (= (tptp.hBOOL (tptp.hAPP @t269 @t1719)) @t1551)))) % 54.38/54.68 (assume @p1311 (forall @t191 (=> @t593 (= (= @t1730 @t268) @t1124)))) % 54.38/54.68 (assume @p1312 (forall (@list @t596 @t17) (=> (and (tptp.class_Groups_Omonoid__mult @t17) @t813) (= (tptp.hAPP (tptp.hAPP @t447 @t1731) @t1689) (tptp.hAPP (tptp.hAPP @t349 @t1731) @t1731))))) % 54.38/54.68 (assume @p1313 (forall @t23 (=> (tptp.hBOOL (tptp.hAPP @t66 @t1689)) (or @t101 (= @t9 @t221))))) % 54.38/54.68 (assume @p1314 (= @t1727 @t1655)) % 54.38/54.68 (assume @p1315 (forall @t744 (=> @t1120 (= (= @t1719 @t651) (or (= @t36 @t651) (= @t36 @t1115)))))) % 54.38/54.68 (assume @p1316 (forall @t1734 (=> @t496 (= (tptp.hAPP @t491 @t1725) @t1733)))) % 54.38/54.68 (assume @p1317 (forall @t326 (=> @t624 (= (tptp.hAPP @t1171 @t1725) @t1726)))) % 54.38/54.68 (assume @p1318 (forall @t121 (=> @t264 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1720) @t1728)) (=> @t710 @t118))))) % 54.38/54.68 (assume @p1319 (forall @t121 (=> @t280 (tptp.hBOOL (tptp.hAPP @t262 @t1735))))) % 54.38/54.68 (assume @p1320 (forall @t191 (=> @t593 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t1730) @t268)) @t1124)))) % 54.38/54.68 (assume @p1321 (forall @t121 (=> @t280 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1735) @t261)))))) % 54.38/54.68 (assume @p1322 (forall @t191 (=> @t593 (= (tptp.hBOOL (tptp.hAPP @t269 @t1730)) @t1169)))) % 54.38/54.68 (assume @p1323 (forall @t121 (=> @t793 (= (tptp.hAPP (tptp.hAPP @t254 @t1737) @t1689) (tptp.hAPP (tptp.hAPP @t733 @t1735) @t1736))))) % 54.38/54.68 (assume @p1324 (forall @t326 (=> @t280 (tptp.hBOOL (tptp.hAPP @t262 @t1726))))) % 54.38/54.68 (assume @p1325 (forall @t326 (=> @t325 (= @t1739 (tptp.hAPP @t316 @t1724))))) % 54.38/54.68 (assume @p1326 (forall @t1734 (=> @t496 (= (tptp.hAPP @t491 @t1738) (tptp.hAPP @t493 @t1733))))) % 54.38/54.68 (assume @p1327 (forall @t454 (=> @t624 (= (tptp.hAPP @t1170 @t1725) @t645)))) % 54.38/54.68 (assume @p1328 (forall @t1681 (and (=> @t1678 (= @t1740 @t1710)) (=> @t1679 (= @t1740 (tptp.hAPP (tptp.hAPP @t1261 @t1670) @t807)))))) % 54.38/54.68 (assume @p1329 (forall @t1742 (= (tptp.hBOOL (tptp.hAPP @t81 @t1741)) (= @t1741 @t663)))) % 54.38/54.68 (assume @p1330 (forall @t23 (=> @t1475 (tptp.hBOOL (tptp.hAPP @t81 (tptp.hAPP @t1429 @t1689)))))) % 54.38/54.68 (assume @p1331 (forall @t121 (=> @t793 (= (tptp.hAPP (tptp.hAPP @t254 @t822) @t1689) (tptp.hAPP (tptp.hAPP @t789 @t1735) @t1736))))) % 54.38/54.68 (assume @p1332 (forall @t326 (=> @t280 (=> (tptp.hBOOL (tptp.hAPP @t262 @t1739)) @t263)))) % 54.38/54.68 (assume @p1333 (forall @t326 (=> @t280 (=> @t438 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1739) @t261)))))) % 54.38/54.68 (assume @p1334 (forall @t454 (=> @t624 (= (tptp.hAPP @t1170 @t1738) @t1109)))) % 54.38/54.68 (assume @p1335 (forall @t454 (=> @t793 (= (tptp.hAPP @t1593 @t1725) @t645)))) % 54.38/54.68 (assume @p1336 (forall @t454 (=> @t793 (= (tptp.hAPP @t1593 @t1738) @t1467)))) % 54.38/54.68 (assume @p1337 (forall @t530 (and (=> @t1750 (= @t1747 @t511)) (=> (not @t1750) (and (=> @t1749 (= @t1747 @t1746)) (=> (not @t1749) (= @t1747 (tptp.hAPP (tptp.hAPP @t745 @t1746) @t661)))))))) % 54.38/54.68 (assume @p1338 (= @t1751 (tptp.hAPP @t1743 @t1607))) % 54.38/54.68 (assume @p1339 (forall (@list @t1140 @t10) (=> (and @t750 @t793) (=> (tptp.hBOOL (tptp.hAPP @t430 @t1140)) (tptp.hBOOL (tptp.hAPP @t430 (tptp.hAPP (tptp.hAPP @t1752 @t1140) @t1717))))))) % 54.38/54.68 (assume @p1340 (forall @t1756 (=> (and @t1755 @t802) (= (tptp.hBOOL (tptp.hAPP @t269 (tptp.hAPP (tptp.hAPP @t1754 @t1753) (tptp.hAPP @t798 @t1671)))) (tptp.hBOOL (tptp.hAPP @t269 @t1753)))))) % 54.38/54.68 (assume @p1341 (tptp.c_Nat__Transfer_Ois__nat @t1672)) % 54.38/54.68 (assume @p1342 (forall (@list @t27 @t9 @t28) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t28 @t9) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t27 @t9)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t27) @t28)) (exists @t1459 (= @t28 (tptp.hAPP @t1064 (tptp.hAPP @t320 @t1458)))))))) % 54.38/54.68 (assume @p1343 (= (tptp.hAPP (tptp.hAPP @t1757 @t1748) @t1751) @t1748)) % 54.38/54.68 (assume @p1344 (forall @t344 (=> @t1759 (= (tptp.hAPP @t1758 @t261) @t261)))) % 54.38/54.68 (assume @p1345 (forall @t344 (=> @t1760 (= (tptp.hAPP (tptp.hAPP @t1752 @t261) @t149) @t261)))) % 54.38/54.68 (assume @p1346 (forall @t162 (=> @t1760 (= (tptp.hAPP @t1763 @t150) (tptp.hAPP (tptp.hAPP @t733 @t1762) @t1761))))) % 54.38/54.68 (assume @p1347 (forall @t162 (=> @t1760 (= (tptp.hAPP @t316 @t1761) (tptp.hAPP (tptp.hAPP @t1752 @t317) @t150))))) % 54.38/54.68 (assume @p1348 (forall (@list @t596 @t134 @t27 @t28 @t10) (=> @t1766 (= (tptp.hAPP (tptp.hAPP @t313 @t1765) (tptp.hAPP (tptp.hAPP @t1752 @t134) @t596)) (tptp.hAPP (tptp.hAPP @t1752 @t1012) (tptp.hAPP @t707 @t596)))))) % 54.38/54.68 (assume @p1349 (forall @t162 (=> @t1760 (= (tptp.hAPP (tptp.hAPP @t1752 @t884) @t150) (tptp.hAPP (tptp.hAPP @t789 @t1762) @t1761))))) % 54.38/54.68 (assume @p1350 (forall @t344 (=> @t1760 (= (tptp.hAPP @t1758 @t645) @t149)))) % 54.38/54.68 (assume @p1351 (forall @t174 (=> @t1760 (= @t1769 (tptp.hAPP @t1767 @t153))))) % 54.38/54.68 (assume @p1352 (forall @t174 (=> @t1766 @t1770))) % 54.38/54.68 (assume @p1353 (forall @t174 (=> @t1766 @t1771))) % 54.38/54.68 (assume @p1354 (forall @t265 (=> @t1766 @t1772))) % 54.38/54.68 (assume @p1355 (forall @t174 (=> @t750 @t1773))) % 54.38/54.68 (assume @p1356 (tptp.c_Nat__Transfer_Ois__nat @t511)) % 54.38/54.68 (assume @p1357 (forall @t30 (=> @t1775 (=> @t1774 (tptp.c_Nat__Transfer_Ois__nat @t1107))))) % 54.38/54.68 (assume @p1358 (forall @t587 (tptp.c_Nat__Transfer_Ois__nat @t586))) % 54.38/54.68 (assume @p1359 (tptp.c_Nat__Transfer_Ois__nat @t661)) % 54.38/54.68 (assume @p1360 (forall @t30 (=> @t1775 (=> @t1774 (tptp.c_Nat__Transfer_Ois__nat @t634))))) % 54.38/54.68 (assume @p1361 (forall @t30 (=> @t1775 (=> @t1774 (tptp.c_Nat__Transfer_Ois__nat @t1451))))) % 54.38/54.68 (assume @p1362 (forall @t30 (=> @t1775 (=> @t1774 (tptp.c_Nat__Transfer_Ois__nat @t1288))))) % 54.38/54.68 (assume @p1363 (forall @t577 (=> @t1775 (tptp.c_Nat__Transfer_Ois__nat @t632)))) % 54.38/54.68 (assume @p1364 (forall @t162 (=> @t750 (=> @t160 (=> @t406 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1761) @t1762))))))) % 54.38/54.68 (assume @p1365 (forall @t162 (=> @t750 (=> @t160 (=> @t399 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1762) @t1761))))))) % 54.38/54.68 (assume @p1366 (forall @t352 (=> @t1755 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t1776) @t268)) @t388)))) % 54.38/54.68 (assume @p1367 (forall @t352 (=> @t1755 (= (tptp.hBOOL (tptp.hAPP @t383 @t1776)) @t386)))) % 54.38/54.68 (assume @p1368 (forall @t157 (=> @t1778 (=> @t166 (=> @t445 @t1777))))) % 54.38/54.68 (assume @p1369 (forall @t162 (=> @t1778 (=> @t169 (=> @t442 @t1777))))) % 54.38/54.68 (assume @p1370 (forall @t121 (=> @t1778 (=> @t1781 (=> @t1780 @t1779))))) % 54.38/54.68 (assume @p1371 (forall @t121 (=> @t1778 (=> @t1781 (=> @t1784 @t1783))))) % 54.38/54.68 (assume @p1372 (forall @t121 (=> @t1778 (=> @t1111 (=> @t1780 @t1783))))) % 54.38/54.68 (assume @p1373 (forall @t121 (=> @t1778 (=> @t1111 (=> @t1784 @t1779))))) % 54.38/54.68 (assume @p1374 (forall @t352 (=> @t1755 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t1776) @t268)) (or (and @t742 @t1786) (and @t1114 @t1785)))))) % 54.38/54.68 (assume @p1375 (forall @t352 (=> @t1755 (= (tptp.hBOOL (tptp.hAPP @t269 @t1776)) (or (and @t742 @t1785) (and @t1114 @t1786)))))) % 54.38/54.68 (assume @p1376 (forall @t429 (=> @t1793 (=> @t1792 (= @t1790 @t1787))))) % 54.38/54.68 (assume @p1377 (forall @t1796 (=> @t1793 (=> @t1792 (= @t1795 @t1794))))) % 54.38/54.68 (assume @p1378 (forall @t1128 (=> @t1760 (=> @t1307 (=> (= @t153 @t396) (= @t1761 @t149)))))) % 54.38/54.68 (assume @p1379 (forall @t466 (=> @t1760 (=> @t1307 (=> (= @t396 @t153) (= @t149 @t1761)))))) % 54.38/54.68 (assume @p1380 (forall @t881 (=> @t1798 (= @t1790 (and (=> @t1792 @t1787) @t1797))))) % 54.38/54.68 (assume @p1381 (forall @t1799 (=> @t1798 (= @t1795 (and (=> @t1792 @t1794) @t1797))))) % 54.38/54.68 (assume @p1382 (forall @t466 (=> @t1766 (=> @t1307 (= (tptp.hAPP (tptp.hAPP @t1752 @t396) @t315) @t1768))))) % 54.38/54.68 (assume @p1383 (forall @t466 (=> @t1766 (=> @t1307 (= (tptp.hAPP (tptp.hAPP @t1752 @t403) @t402) @t1768))))) % 54.38/54.68 (assume @p1384 (forall (@list @t521 @t125 @t522 @t176 @t17) (=> @t1800 (=> @t1168 (=> (not @t1286) (= (= (tptp.hAPP (tptp.hAPP @t1754 @t125) @t176) (tptp.hAPP (tptp.hAPP @t1754 @t521) @t522)) (= @t1022 @t1023))))))) % 54.38/54.68 (assume @p1385 (forall @t974 (=> @t1793 (=> (not @t347) (= (= @t1776 @t651) @t865))))) % 54.38/54.68 (assume @p1386 (forall @t344 (=> @t1760 @t1802))) % 54.38/54.68 (assume @p1387 (forall @t344 (=> @t1759 (and (=> @t356 (= @t1801 @t261)) @t1802)))) % 54.38/54.68 (assume @p1388 (forall @t173 (=> @t1760 (=> @t355 @t1770)))) % 54.38/54.68 (assume @p1389 (forall @t173 (=> @t1760 (=> @t355 @t1771)))) % 54.38/54.68 (assume @p1390 (forall (@list @t9 @t149 @t153 @t10) (=> @t1803 (=> @t355 @t1772)))) % 54.38/54.68 (assume @p1391 (forall @t173 (=> @t1778 (=> @t355 @t1773)))) % 54.38/54.68 (assume @p1392 (forall @t326 (=> @t1766 (= (tptp.hAPP @t1804 @t258) (tptp.hAPP (tptp.hAPP @t254 (tptp.hAPP @t1804 @t149)) @t9))))) % 54.38/54.68 (assume @p1393 (forall @t30 (=> @t1775 (=> @t1774 (tptp.c_Nat__Transfer_Ois__nat @t636))))) % 54.38/54.68 (assume @p1394 (forall @t121 (=> @t1778 (=> @t1806 (=> @t1780 @t1805))))) % 54.38/54.68 (assume @p1395 (forall @t121 (=> @t1778 (=> @t1806 (=> @t1784 @t1808))))) % 54.38/54.68 (assume @p1396 (forall @t1814 (=> @t1778 (=> @t711 (=> @t124 (=> @t1813 (=> @t1812 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1811) @t1810))))))))) % 54.38/54.68 (assume @p1397 (forall @t1814 (=> @t1778 (=> @t711 (=> @t118 (=> @t1813 (=> @t1812 @t1815))))))) % 54.38/54.68 (assume @p1398 (forall @t1814 (=> @t1778 (=> @t1111 (=> @t124 (=> @t1813 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t596) @t134)) @t1815))))))) % 54.38/54.68 (assume @p1399 (forall @t121 (=> @t1778 (=> @t711 (=> @t1780 @t1808))))) % 54.38/54.68 (assume @p1400 (forall @t121 (=> @t1778 (=> @t711 (=> @t1784 @t1805))))) % 54.38/54.68 (assume @p1401 (forall @t162 (=> @t1778 (=> @t169 (=> @t445 @t1819))))) % 54.38/54.68 (assume @p1402 (forall @t157 (=> @t1778 (=> @t166 (=> @t442 @t1819))))) % 54.38/54.68 (assume @p1403 (forall @t1796 (=> @t1823 (=> @t415 (= @t1822 @t1820))))) % 54.38/54.68 (assume @p1404 (forall @t429 (=> @t1823 (=> @t415 (= @t1825 @t1824))))) % 54.38/54.68 (assume @p1405 (forall @t1827 (=> @t1778 (=> @t1784 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1826) @t28)) (tptp.hBOOL (tptp.hAPP @t141 @t1765))))))) % 54.38/54.68 (assume @p1406 (forall @t139 (=> @t1778 (=> @t1784 (=> (tptp.hBOOL (tptp.hAPP @t117 @t1826)) (tptp.hBOOL (tptp.hAPP @t1782 @t134))))))) % 54.38/54.68 (assume @p1407 (forall @t1796 (=> @t1823 (=> @t418 (= @t1822 @t1824))))) % 54.38/54.68 (assume @p1408 (forall @t429 (=> @t1823 (=> @t418 (= @t1825 @t1820))))) % 54.38/54.68 (assume @p1409 (forall @t1799 (=> @t1755 (= @t1822 (and (=> @t418 @t1824) (=> @t1829 (and (=> @t415 @t1820) (=> @t1828 @t742)))))))) % 54.38/54.68 (assume @p1410 (forall @t881 (=> @t1755 (= @t1825 (and (=> @t418 @t1820) (=> @t1829 (and (=> @t415 @t1824) (=> @t1828 @t1114)))))))) % 54.38/54.68 (assume @p1411 (forall @t1310 (= @t1830 @t682))) % 54.38/54.68 (assume @p1412 (forall @t1827 (=> @t1766 (=> @t1833 (= (tptp.hAPP @t1715 @t1765) @t1832))))) % 54.38/54.68 (assume @p1413 (forall @t1837 (=> @t1803 (=> @t1836 (= (tptp.hAPP @t820 @t1835) (tptp.hAPP (tptp.hAPP @t1752 (tptp.hAPP (tptp.hAPP @t733 @t1834) @t27)) @t134)))))) % 54.38/54.68 (assume @p1414 (forall @t139 (=> @t1766 (=> @t1833 (= (tptp.hAPP @t1838 @t134) @t1832))))) % 54.38/54.68 (assume @p1415 (forall @t1837 (=> @t1803 (=> @t1836 (= (tptp.hAPP (tptp.hAPP @t733 @t1811) @t27) (tptp.hAPP @t1831 @t134)))))) % 54.38/54.68 (assume @p1416 (forall @t1842 (=> @t1803 (=> @t1833 (=> @t1836 (= (tptp.hAPP @t1838 @t1841) (tptp.hAPP (tptp.hAPP @t1752 (tptp.hAPP (tptp.hAPP @t733 @t1012) @t1840)) @t1839))))))) % 54.38/54.68 (assume @p1417 (forall @t1837 (=> @t1803 (=> @t1836 (= (tptp.hAPP @t821 @t1835) (tptp.hAPP (tptp.hAPP @t1752 (tptp.hAPP (tptp.hAPP @t789 @t1834) @t27)) @t134)))))) % 54.38/54.68 (assume @p1418 (forall @t1837 (=> @t1803 (=> @t1836 (= (tptp.hAPP (tptp.hAPP @t789 @t1811) @t27) (tptp.hAPP (tptp.hAPP @t1752 (tptp.hAPP @t821 @t1826)) @t134)))))) % 54.38/54.68 (assume @p1419 (forall @t1842 (=> @t1803 (=> @t1833 (=> @t1836 (= (tptp.hAPP (tptp.hAPP @t789 @t1765) @t1841) (tptp.hAPP (tptp.hAPP @t1752 (tptp.hAPP (tptp.hAPP @t789 @t1012) @t1840)) @t1839))))))) % 54.38/54.68 (assume @p1420 (forall @t1849 (=> @t1848 (= (= @t36 @t1847) (and (=> @t1846 (= @t1845 @t346)) @t1844))))) % 54.38/54.68 (assume @p1421 (forall @t1852 (=> @t1848 (= (= @t812 @t1789) (and (=> @t1792 (= @t1851 @t346)) @t1850))))) % 54.38/54.68 (assume @p1422 (forall @t1853 (=> @t1848 (= (= @t1789 @t812) (and (=> @t1792 (= @t346 @t1851)) @t1850))))) % 54.38/54.68 (assume @p1423 (forall @t1854 (=> @t1848 (= (= @t1847 @t36) (and (=> @t1846 (= @t346 @t1845)) @t1844))))) % 54.38/54.68 (assume @p1424 (forall @t174 (=> @t1778 (=> @t169 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t1855) @t153)))))) % 54.38/54.68 (assume @p1425 (forall @t174 (=> @t1778 (=> @t169 (tptp.hBOOL (tptp.hAPP @t167 @t1855)))))) % 54.38/54.68 (assume @p1426 (forall @t78 (=> @t1856 (= (tptp.hAPP @t1764 @t1562) @t261)))) % 54.38/54.68 (assume @p1427 (forall @t140 (=> @t750 (=> @t1784 (= (tptp.hAPP (tptp.hAPP @t1752 @t1566) @t27) (tptp.hAPP @t1523 @t1765)))))) % 54.38/54.68 (assume @p1428 (forall @t344 (=> @t1857 (= (tptp.hAPP @t1758 @t1649) @t149)))) % 54.38/54.68 (assume @p1429 (forall @t78 (=> @t1857 (= (tptp.hAPP @t1764 @t1649) @t28)))) % 54.38/54.68 (assume @p1430 (forall @t78 (=> @t1856 (= (tptp.hAPP @t1764 @t1467) @t1121)))) % 54.38/54.68 (assume @p1431 (= @t1748 (tptp.hAPP @t1743 tptp.c_Int_OPls))) % 54.38/54.68 (assume @p1432 (forall @t162 (=> @t750 (=> @t160 (=> @t406 @t1858))))) % 54.38/54.68 (assume @p1433 (forall @t157 (=> @t1778 (=> @t156 (=> @t399 @t1858))))) % 54.38/54.68 (assume @p1434 (forall @t1796 (=> @t1823 (=> @t415 (= @t1861 @t1859))))) % 54.38/54.68 (assume @p1435 (forall @t429 (=> @t1823 (=> @t415 (= @t1863 @t1862))))) % 54.38/54.68 (assume @p1436 (forall @t1827 (=> @t1778 (=> @t1784 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1826) @t28)) (tptp.hBOOL (tptp.hAPP @t135 @t1765))))))) % 54.38/54.68 (assume @p1437 (forall @t139 (=> @t1778 (=> @t1784 (=> (tptp.hBOOL (tptp.hAPP @t76 @t1826)) (tptp.hBOOL (tptp.hAPP @t1807 @t134))))))) % 54.38/54.68 (assume @p1438 (forall @t1796 (=> @t1823 (=> @t418 (= @t1861 @t1862))))) % 54.38/54.68 (assume @p1439 (forall @t429 (=> @t1823 (=> @t418 (= @t1863 @t1859))))) % 54.38/54.68 (assume @p1440 (forall @t1799 (=> @t1755 (= @t1861 (and (=> @t418 @t1862) (=> @t1829 (and (=> @t415 @t1859) (=> @t1828 @t385)))))))) % 54.38/54.68 (assume @p1441 (forall @t881 (=> @t1755 (= @t1863 (and (=> @t418 @t1859) (=> @t1829 (and (=> @t415 @t1862) (=> @t1828 @t382)))))))) % 54.38/54.68 (assume @p1442 (forall @t1849 (=> @t1870 (= (tptp.hBOOL (tptp.hAPP @t416 @t1847)) (and (=> @t1867 @t1869) (=> @t1868 (and (=> @t1864 @t1866) (=> @t1865 @t1114)))))))) % 54.38/54.68 (assume @p1443 (forall @t1852 (=> @t1870 (= (tptp.hBOOL (tptp.hAPP @t1117 @t1789)) (and (=> @t418 @t1872) (=> @t1829 (and (=> @t415 @t1871) (=> @t1828 @t1864)))))))) % 54.38/54.68 (assume @p1444 (forall @t1853 (=> @t1870 (= (tptp.hBOOL (tptp.hAPP @t1821 @t812)) (and (=> @t418 @t1871) (=> @t1829 (and (=> @t415 @t1872) (=> @t1828 @t1867)))))))) % 54.38/54.68 (assume @p1445 (forall @t1854 (=> @t1870 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t1847) @t36)) (and (=> @t1867 @t1866) (=> @t1868 (and (=> @t1864 @t1869) (=> @t1865 @t742)))))))) % 54.38/54.68 (assume @p1446 (forall (@list @t58 @t9 @t149 @t10) (=> @t1803 (=> @t357 (=> @t296 (= (tptp.hAPP @t257 @t768) (tptp.hAPP (tptp.hAPP @t1752 @t330) @t258))))))) % 54.38/54.68 (assume @p1447 (forall @t78 (=> @t1856 (= (tptp.hAPP (tptp.hAPP @t1752 @t1467) @t28) (tptp.hAPP @t818 (tptp.hAPP @t1804 @t28)))))) % 54.38/54.68 (assume @p1448 (tptp.c_Nat__Transfer_Ois__nat @t1658)) % 54.38/54.68 (assume @p1449 (forall @t1854 (=> @t1870 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t1847) @t36)) (and (=> @t1867 @t1874) (=> @t1868 (and (=> @t1864 @t1873) (=> @t1865 @t385)))))))) % 54.38/54.68 (assume @p1450 (forall @t1853 (=> @t1870 (= (tptp.hBOOL (tptp.hAPP @t1860 @t812)) (and (=> @t418 @t1876) (=> @t1829 (and (=> @t415 @t1875) (=> @t1828 (tptp.hBOOL (tptp.hAPP @t383 @t812)))))))))) % 54.38/54.68 (assume @p1451 (forall @t1852 (=> @t1870 (= (tptp.hBOOL (tptp.hAPP @t1877 @t1789)) (and (=> @t418 @t1875) (=> @t1829 (and (=> @t415 @t1876) (=> @t1828 (tptp.hBOOL (tptp.hAPP @t1877 @t268)))))))))) % 54.38/54.68 (assume @p1452 (forall @t1849 (=> @t1870 (= (tptp.hBOOL (tptp.hAPP @t381 @t1847)) (and (=> @t1867 @t1873) (=> @t1868 (and (=> @t1864 @t1874) (=> @t1865 @t382)))))))) % 54.38/54.68 (assume @p1453 (forall @t472 (and (=> @t1880 (= @t1879 @t9)) (=> (not @t1880) (= @t1879 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t1878 @t1751) @t12)))))) % 54.38/54.68 (assume @p1454 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t1748) @t56)) % 54.38/54.68 (assume @p1455 (= (tptp.hAPP @t1881 @t1748) @t56)) % 54.38/54.68 (assume @p1456 (forall @t57 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t17 @t42 @t40 @t1748) @t42))) % 54.38/54.68 (assume @p1457 (forall (@list @t31 @t111 @t1882) (=> (forall @t1268 (=> (tptp.hBOOL (tptp.hAPP @t1616 @t1882)) (=> @t1266 (tptp.hBOOL (tptp.hAPP @t111 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1883 @t1882)))))) (=> (tptp.hBOOL (tptp.hAPP @t111 @t31)) (=> (tptp.hBOOL (tptp.hAPP @t765 @t1882)) @t720))))) % 54.38/54.68 (assume @p1458 (forall (@list @t359 @t2 @t33 @t86) (=> (forall @t1268 (=> (and @t1884 @t1617) @t1615)) (=> @t90 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t272) @t359)) (=> @t1613 (exists @t1268 (and @t1884 @t1612 @t1611)))))))) % 54.38/54.68 (assume @p1459 (forall @t1887 (= (tptp.hAPP @t1881 @t1886) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t1881 @t1885)) @t221)))) % 54.38/54.68 (assume @p1460 (forall @t1887 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t1886) (tptp.hAPP (tptp.hAPP @t760 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t1885)) @t221)))) % 54.38/54.68 (assume @p1461 (forall (@list @t240 @t153) (and (=> @t1893 (= @t1889 @t1751)) (=> (not @t1893) (= @t1889 (tptp.hAPP (tptp.hAPP @t1888 @t1751) (tptp.c_Random_Olog @t153 (tptp.hAPP (tptp.hAPP @t1745 @t240) @t153)))))))) % 54.38/54.68 (assume @p1462 (forall @t174 (=> @t1284 (= @t149 @t1472)))) % 54.38/54.68 (assume @p1463 (forall @t121 (=> @t1778 (=> (forall (@list @t1894) (=> (tptp.hBOOL (tptp.hAPP @t430 @t1894)) (tptp.hBOOL (tptp.hAPP @t76 (tptp.hAPP @t1013 @t1894))))) @t124)))) % 54.38/54.68 (assume @p1464 (forall @t106 (= @t1895 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t9) @t58)))) % 54.38/54.68 (assume @p1465 (forall (@list @t1896 @t1897) (= (= @t1898 (tptp.c_Code__Numeral_OSuc__code__numeral @t1896)) (= @t1897 @t1896)))) % 54.38/54.68 (assume @p1466 (forall (@list @t1899) (not (= @t1748 (tptp.c_Code__Numeral_OSuc__code__numeral @t1899))))) % 54.38/54.68 (assume @p1467 (forall (@list @t1900) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t1900) @t1748)))) % 54.38/54.68 (assume @p1468 (forall @t1902 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t17 @t42 @t40 @t1898) @t1901))) % 54.38/54.68 (assume @p1469 (forall @t23 (= (tptp.hAPP (tptp.hAPP @t1757 (tptp.c_Code__Numeral_OSuc__code__numeral @t9)) @t1751) @t9))) % 54.38/54.68 (assume @p1470 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t1757)) % 54.38/54.68 (assume @p1471 (forall (@list @t1140 @t308 @t239) (and (=> @t1904 (= @t1903 (tptp.hAPP (tptp.hAPP @t1757 (tptp.hAPP (tptp.hAPP @t1888 @t1140) @t239)) @t308))) (=> @t1905 (= @t1903 (tptp.hAPP (tptp.hAPP @t1757 @t239) @t308)))))) % 54.38/54.68 (assume @p1472 (forall (@list @t239 @t731) (and (=> @t1907 (= @t1906 @t1751)) (=> (not @t1907) (= @t1906 (tptp.hAPP (tptp.hAPP @t1888 @t239) @t1751)))))) % 54.38/54.68 (assume @p1473 (forall @t604 (=> @t1915 (and (=> @t1912 (= @t1910 (tptp.hAPP @t1914 @t1911))) (=> (not @t1912) (= @t1910 (tptp.hAPP @t1909 (tptp.c_Divides_OnegDivAlg @t661 @t1908)))))))) % 54.38/54.68 (assume @p1474 (forall @t1918 (= (tptp.c_Nat_Onat_Onat__size @t1917) (tptp.hAPP (tptp.hAPP @t760 (tptp.c_Nat_Onat_Onat__size @t1916)) @t221)))) % 54.38/54.68 (assume @p1475 (forall (@list @t751 @t1344) (and (=> @t1926 (= @t1925 @t1349)) (=> (not @t1926) (= @t1925 (tptp.hAPP (tptp.hAPP @t1924 (tptp.hAPP @t752 (tptp.hAPP (tptp.hAPP @t745 @t751) (tptp.hAPP @t729 @t1344)))) @t1923)))))) % 54.38/54.68 (assume @p1476 (forall @t1902 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t17 @t42 @t40 @t1898) (tptp.hAPP @t1901 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t17 @t42 @t40 @t1897))))) % 54.38/54.68 (assume @p1477 (forall (@list @t36 @t2 @t226 @t67 @t17) (=> @t1934 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 (tptp.hAPP @t1932 @t2)) @t36)) (exists @t7 (and @t1930 (tptp.hBOOL (tptp.hAPP @t1927 @t36)))))))) % 54.38/54.68 (assume @p1478 (forall @t93 (= @t212 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t95 @t33))))) % 54.38/54.68 (assume @p1479 (forall @t1941 (= (tptp.hBOOL (tptp.hAPP @t500 @t1940)) (forall @t7 (=> @t1937 (tptp.hBOOL (tptp.hAPP @t500 @t1935))))))) % 54.38/54.68 (assume @p1480 (forall (@list @t1942 @t226 @t67 @t952 @t17) (=> @t1933 (= (tptp.hBOOL (tptp.hAPP @t1944 (tptp.hAPP @t1932 @t1942))) (forall @t7 (=> @t1930 (tptp.hBOOL (tptp.hAPP @t1944 @t1943)))))))) % 54.38/54.68 (assume @p1481 (forall @t1950 (=> @t1933 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t67 @t1949) @t226) @t2) @t125) (tptp.hAPP @t1932 @t1948))))) % 54.38/54.68 (assume @p1482 (forall @t1954 (=> @t1933 (= (tptp.hAPP @t1932 (tptp.hAPP (tptp.hAPP @t1953 @t1952) @t2)) (tptp.hAPP @t1952 (tptp.hAPP (tptp.hAPP @t1951 @t1932) @t1947)))))) % 54.38/54.68 (assume @p1483 (forall @t85 (= @t87 @t214))) % 54.38/54.68 (assume @p1484 (forall @t93 (= (tptp.hAPP @t1041 @t34) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t56 @t1955 @t1154)))) % 54.38/54.68 (assume @p1485 (forall @t1639 (= @t1960 (tptp.hAPP @t1959 @t1957)))) % 54.38/54.68 (assume @p1486 (= (tptp.c_Nat_Onat_Onat__size @t56) @t56)) % 54.38/54.68 (assume @p1487 (forall (@list @t521 @t522 @t17) (=> @t802 (= (tptp.hAPP @t1964 @t1960) (tptp.hAPP @t1966 @t1963))))) % 54.38/54.68 (assume @p1488 (forall @t526 (= (tptp.hAPP @t1969 @t1960) (tptp.hAPP @t1970 (tptp.hAPP (tptp.hAPP @t1968 @t514) @t1967))))) % 54.38/54.68 (assume @p1489 (forall @t1118 (=> @t802 (= (tptp.hAPP @t1971 @t1960) (tptp.hAPP @t1972 @t1963))))) % 54.38/54.68 (assume @p1490 (forall (@list @t522 @t677) (and (=> @t1974 (= @t1973 @t674)) (=> (not @t1974) (= @t1973 (tptp.hAPP (tptp.hAPP @t1924 (tptp.hAPP @t1240 @t677)) @t1923)))))) % 54.38/54.68 (assume @p1491 (forall @t1464 (=> @t1164 (=> (tptp.hBOOL (tptp.hAPP @t513 @t308)) (= (tptp.c_Divides_OnegDivAlg @t239 @t308) @t1975))))) % 54.38/54.68 (assume @p1492 (forall @t1274 (= (tptp.c_Divides_OnegDivAlg @t1399 @t153) (tptp.hAPP @t1914 @t1469)))) % 54.38/54.68 (assume @p1493 (forall @t271 (=> @t35 (= @t267 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t17 (tptp.hAPP (tptp.hAPP @t1976 @t836) @t651) @t33 @t268))))) % 54.38/54.68 (assume @p1494 (forall (@list @t1753 @t1499 @t346) (= (tptp.hAPP @t1985 @t1984) (tptp.hAPP (tptp.hAPP @t1983 (tptp.hAPP (tptp.hAPP @t829 @t1753) @t346)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t1978 @t1978) (tptp.hAPP (tptp.hAPP @t1982 (tptp.hAPP @t1981 @t528)) (tptp.hAPP @t1913 (tptp.hAPP (tptp.hAPP @t745 @t1977) @t661)))) (tptp.hAPP (tptp.hAPP @t1913 @t1977) @t1753)))))) % 54.38/54.68 (assume @p1495 (forall @t1999 (= (= @t1349 @t34) @t1998))) % 54.38/54.68 (assume @p1496 (forall @t2000 (= (= @t34 @t1349) @t1998))) % 54.38/54.68 (assume @p1497 (forall @t2013 (= (tptp.c_Nat_Onat_Onat__case @t17 @t36 @t2 @t1349) (tptp.hAPP @t2012 (tptp.hAPP @t2010 @t2003))))) % 54.38/54.68 (assume @p1498 (forall @t2013 (= (tptp.hAPP @t2014 @t1349) (tptp.hAPP @t2012 (tptp.hAPP @t2010 (tptp.hAPP (tptp.hAPP @t2009 (tptp.hAPP @t2016 tptp.c_Int_Onat)) (tptp.hAPP @t2015 tptp.c_Int_Onat))))))) % 54.38/54.68 (assume @p1499 (forall @t1639 (and (=> @t1645 (= @t2019 @t56)) (=> (not @t1645) (= @t2019 (tptp.hAPP @t1959 (tptp.hAPP @t2018 @t1957))))))) % 54.38/54.68 (assume @p1500 (forall @t2000 (= (tptp.hBOOL (tptp.hAPP @t2021 @t1349)) (tptp.hBOOL (tptp.hAPP @t1997 (tptp.hAPP @t1996 (tptp.hAPP @t1994 (tptp.hAPP (tptp.hAPP @t2020 @t87) tptp.c_Int_Onat)))))))) % 54.38/54.68 (assume @p1501 (forall @t1999 (= (tptp.hBOOL (tptp.hAPP @t1588 @t34)) (tptp.hBOOL (tptp.hAPP @t1997 (tptp.hAPP @t1994 (tptp.hAPP (tptp.hAPP @t1988 (tptp.hAPP (tptp.hAPP @t1987 @t60) tptp.c_Int_Onat)) @t33))))))) % 54.38/54.68 (assume @p1502 (forall @t1999 (= (tptp.hBOOL (tptp.hAPP @t1589 @t34)) (tptp.hBOOL (tptp.hAPP @t1997 (tptp.hAPP @t1994 (tptp.hAPP (tptp.hAPP @t1988 (tptp.hAPP (tptp.hAPP @t1987 @t79) tptp.c_Int_Onat)) @t33))))))) % 54.38/54.68 (assume @p1503 (forall @t2000 (= (tptp.hBOOL (tptp.hAPP @t214 @t1349)) (tptp.hBOOL (tptp.hAPP @t1997 (tptp.hAPP @t1996 (tptp.hAPP @t1994 (tptp.hAPP (tptp.hAPP @t2020 @t94) tptp.c_Int_Onat)))))))) % 54.38/54.68 (assume @p1504 (forall @t2026 (= (tptp.c_Nat_Onat_Onat__case @t17 @t36 @t2 @t2025) (tptp.hAPP @t2012 (tptp.hAPP (tptp.hAPP @t2009 (tptp.hAPP @t2008 (tptp.c_Nat_Onat_Onat__case @t17 @t36 @t2 @t33))) (tptp.hAPP @t2002 @t2024)))))) % 54.38/54.68 (assume @p1505 (forall @t2026 (= (tptp.hAPP @t2014 @t2025) (tptp.hAPP @t2012 (tptp.hAPP (tptp.hAPP @t2009 (tptp.hAPP @t2008 (tptp.hAPP @t2014 @t33))) (tptp.hAPP (tptp.hAPP @t2009 (tptp.hAPP @t2016 @t2024)) (tptp.hAPP @t2015 @t2024))))))) % 54.38/54.68 (assume @p1506 (forall @t618 (=> @t802 (and (=> @t2028 (= @t2027 (tptp.hAPP @t1966 (tptp.hAPP (tptp.hAPP @t1962 (tptp.hAPP @t2032 @t2030)) @t1961)))) (=> @t2029 (= @t2027 @t651)))))) % 54.38/54.68 (assume @p1507 (forall @t699 (and (=> @t2028 (= @t2033 (tptp.hAPP @t1970 (tptp.hAPP (tptp.hAPP @t1968 (tptp.hAPP (tptp.hAPP @t2035 @t514) (tptp.hAPP @t514 @t522))) @t1967)))) (=> @t2029 (= @t2033 @t661))))) % 54.38/54.68 (assume @p1508 (forall @t1281 (and (=> @t2041 @t2042) (=> (not @t2041) @t2038)))) % 54.38/54.68 (assume @p1509 (forall (@list @t751 @t521 @t17) (=> @t802 (and (=> @t2028 (= @t2043 (tptp.hAPP @t1972 (tptp.hAPP (tptp.hAPP @t1962 (tptp.hAPP @t2032 (tptp.hAPP @t349 @t1116))) @t1961)))) (=> @t2029 (= @t2043 @t651)))))) % 54.38/54.68 (assume @p1510 (forall @t57 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t17 @t42 @t40 @t1748) @t42))) % 54.38/54.68 (assume @p1511 (forall @t1454 (=> @t1298 (and (=> @t2040 @t2042) (=> (not @t2040) @t2038))))) % 54.38/54.68 (assume @p1512 (forall @t810 (=> @t2049 (and (=> @t2048 (= @t2046 (tptp.hAPP @t1914 @t2047))) (=> (not @t2048) (= @t2046 (tptp.hAPP @t2045 (tptp.c_Divides_OnegDivAlg @t807 @t2044)))))))) % 54.38/54.68 (assume @p1513 (forall @t604 (=> @t1915 (and (=> @t2051 (= @t2050 @t2053)) (=> (not @t2051) (= @t2050 (tptp.hAPP @t1909 (tptp.c_Divides_OposDivAlg @t661 @t1908)))))))) % 54.38/54.68 (assume @p1514 (forall @t1281 (and (=> @t2056 @t2057) (=> (not @t2056) @t2055)))) % 54.38/54.68 (assume @p1515 (forall (@list @t346) (= @t1985 (tptp.hAPP @t2069 (tptp.hAPP (tptp.hAPP @t2068 (tptp.hAPP @t2067 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2058 @t2066 tptp.tc_Int_Oint) (tptp.hAPP @t1982 (tptp.hAPP @t1981 (tptp.hAPP (tptp.hAPP @t2065 @t528) @t2061)))) (tptp.hAPP (tptp.hAPP @t2064 (tptp.hAPP @t2063 (tptp.hAPP @t2059 (tptp.hAPP (tptp.hAPP @t2060 (tptp.hAPP @t2062 @t1673)) @t661)))) @t2061)))) (tptp.hAPP @t2059 @t1673)))))) % 54.38/54.68 (assume @p1516 (forall @t1454 (=> @t1298 (and (=> @t1328 @t2057) (=> (not @t1328) @t2055))))) % 54.38/54.68 (assume @p1517 (forall @t810 (=> @t2049 (and (=> @t2072 (= @t2070 (tptp.hAPP @t2052 @t807))) (=> (not @t2072) (= @t2070 (tptp.hAPP @t2045 (tptp.c_Divides_OposDivAlg @t807 @t2044)))))))) % 54.38/54.68 (assume @p1518 (forall @t1320 (=> (tptp.hBOOL (tptp.hAPP @t2080 @t2079)) (and (=> @t2078 (= @t2074 (tptp.hAPP @t1914 @t2077))) (=> (not @t2078) (= @t2074 (tptp.hAPP @t1985 (tptp.c_Divides_OnegDivAlg @t36 @t2073)))))))) % 54.38/54.68 (assume @p1519 (forall @t2084 (= @t2083 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2082 @t36)) (tptp.hBOOL (tptp.hAPP @t2081 @t3))))))) % 54.38/54.68 (assume @p1520 (forall (@list @t36 @t346 @t1753 @t17) (=> (tptp.hBOOL (tptp.hAPP @t2081 @t346)) (=> @t2085 @t2083)))) % 54.38/54.68 (assume @p1521 (forall @t2090 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2089 @t2086) @t2087)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.c_Wellfounded_Oaccp @t17 @t2087)) (tptp.c_Wellfounded_Oaccp @t17 @t2086)))))) % 54.38/54.68 (assume @p1522 (forall @t1274 (= (tptp.c_Divides_OposDivAlg @t511 @t153) @t2091))) % 54.38/54.68 (assume @p1523 (forall @t1464 (=> (tptp.hBOOL (tptp.hAPP @t528 @t239)) (=> @t1383 (= (tptp.c_Divides_OposDivAlg @t239 @t308) @t1975))))) % 54.38/54.68 (assume @p1524 (forall @t1320 (=> (tptp.hBOOL (tptp.hAPP @t2094 @t2079)) (and (=> @t2093 (= @t2092 (tptp.hAPP @t2052 @t36))) (=> (not @t2093) (= @t2092 (tptp.hAPP @t1985 (tptp.c_Divides_OposDivAlg @t36 @t2073)))))))) % 54.38/54.68 (assume @p1525 (forall @t2104 (=> @t2103 (and (=> @t1313 (= @t2101 @t268)) (=> @t2102 (and (=> @t1366 (= @t2101 (tptp.hAPP @t839 (tptp.hAPP @t591 (tptp.hAPP @t729 @t359))))) (=> (not @t1366) (= @t2101 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t17) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2100 @t2099) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2098 (tptp.tc_fun @t2100 @t2099) tptp.tc_Int_Oint) (tptp.c_COMBB @t2005 @t17 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t2098 tptp.tc_Int_Oint) @t1965) @t591))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2005 @t2005) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2006 (tptp.tc_fun @t2005 @t2005) tptp.tc_Int_Oint) @t1962) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2005 @t2006) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2006 (tptp.tc_fun @t2005 @t2006) tptp.tc_Int_Oint) @t2031) (tptp.hAPP @t2007 @t2097))) @t2095))) (tptp.hAPP (tptp.hAPP @t1976 (tptp.hAPP (tptp.hAPP @t2031 @t836) @t2095)) @t651)))) (tptp.c_Divides_Odivmod__int @t359 @t1672)))))))))) % 54.38/54.68 (assume @p1526 (forall @t2117 (=> (tptp.hBOOL (tptp.hAPP @t2080 @t2116)) (=> (forall @t2115 (=> (tptp.hBOOL (tptp.hAPP @t2080 @t2114)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t528 (tptp.hAPP (tptp.hAPP @t745 @t2109) @t2108))) @t2113)) @t2112) @t2111))) @t2107)))) % 54.38/54.68 (assume @p1527 (forall @t1386 (and (=> @t2121 (= @t2120 (tptp.hAPP @t2052 @t2119))) (=> (not @t2121) (= @t2120 (tptp.c_Divides_OposDivAlg @t2119 @t2118)))))) % 54.38/54.68 (assume @p1528 (forall @t1464 (= @t2120 (tptp.hAPP (tptp.hAPP @t1913 (tptp.hAPP (tptp.hAPP @t1261 @t2119) @t2118)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2119 @t2118))))) % 54.38/54.68 (assume @p1529 (forall @t2126 (=> @t2125 (=> @t1507 (=> @t1337 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t149 @t1336) (tptp.hAPP (tptp.hAPP @t1913 (tptp.hAPP (tptp.hAPP @t1261 @t490) @t150)) @t1501)))))))) % 54.38/54.68 (assume @p1530 (forall @t1454 (=> @t1507 (tptp.hBOOL (tptp.hAPP @t2124 @t2127))))) % 54.38/54.68 (assume @p1531 (forall @t1320 (= @t2134 (tptp.hAPP @t2133 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2130 @t2130) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2131 @t2132 tptp.tc_Int_Oint) @t1993) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2130 @t2131 tptp.tc_Int_Oint) @t1995) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2034 @t2130 tptp.tc_Int_Oint) (tptp.hAPP @t2065 @t2129)) (tptp.hAPP @t2062 (tptp.hAPP @t514 @t346)))))) (tptp.hAPP (tptp.hAPP @t1993 (tptp.hAPP @t1995 (tptp.hAPP (tptp.hAPP @t1989 (tptp.hAPP tptp.c_fimplies @t1293)) (tptp.hAPP @t2128 (tptp.hAPP (tptp.hAPP @t2096 @t512) @t346))))) (tptp.hAPP (tptp.hAPP @t1989 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t1293))) (tptp.hAPP (tptp.hAPP @t1993 (tptp.hAPP @t1995 @t1296)) (tptp.hAPP (tptp.hAPP @t2096 @t523) @t511))))))))) % 54.38/54.68 (assume @p1532 (forall @t2136 (=> @t2125 (=> @t2135 (=> @t1507 (= @t1140 @t1190)))))) % 54.38/54.68 (assume @p1533 (forall @t2136 (=> @t2125 (=> @t2135 (=> @t1507 (= @t490 @t1187)))))) % 54.38/54.68 (assume @p1534 (forall @t2138 (=> @t2137 (=> @t1302 (= @t1140 @t511))))) % 54.38/54.68 (assume @p1535 (forall @t1274 (=> @t1507 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t511 @t153) @t2091))))) % 54.38/54.68 (assume @p1536 (forall @t2138 (=> @t2137 (=> @t1302 (= @t490 @t661))))) % 54.38/54.68 (assume @p1537 (forall @t2139 (=> @t2125 (=> @t1507 (= @t1444 @t1140))))) % 54.38/54.68 (assume @p1538 (forall @t2139 (=> @t2125 (=> @t1507 (= @t1282 @t490))))) % 54.38/54.68 (assume @p1539 (forall @t1281 (=> @t1300 (=> @t1298 (tptp.hBOOL (tptp.hAPP @t2124 @t2037)))))) % 54.38/54.68 (assume @p1540 (forall @t1454 (=> @t1507 (tptp.hBOOL (tptp.hAPP @t2124 (tptp.hAPP (tptp.hAPP @t1913 @t1282) @t1444)))))) % 54.38/54.68 (assume @p1541 (forall @t1281 (=> @t1323 (=> @t1298 (tptp.hBOOL (tptp.hAPP @t2124 @t2054)))))) % 54.38/54.68 (assume @p1542 (forall (@list @t490 @t503) (= (tptp.c_Divides_Odivmod__int @t503 @t490) (tptp.hAPP (tptp.hAPP @t1913 (tptp.hAPP (tptp.hAPP @t1261 @t503) @t490)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t503 @t490))))) % 54.38/54.68 (assume @p1543 (forall @t2147 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t149 @t150) (tptp.hAPP (tptp.hAPP @t1913 @t2144) @t2141))) (=> (tptp.hBOOL (tptp.hAPP @t2146 (tptp.hAPP (tptp.hAPP @t1913 @t2143) @t2140))) (=> @t2145 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1401 @t150) (tptp.hAPP (tptp.hAPP @t1913 (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP (tptp.hAPP @t745 @t2144) @t2143)) (tptp.hAPP (tptp.hAPP @t1261 @t2142) @t150))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2142 @t150))))))))) % 54.38/54.68 (assume @p1544 (forall (@list @t1753 @t1499 @t346 @t36) (=> (tptp.hBOOL (tptp.hAPP @t2134 @t1984)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2150 @t346) (tptp.hAPP (tptp.hAPP @t1913 (tptp.hAPP (tptp.hAPP @t2148 @t2149) (tptp.hAPP (tptp.hAPP @t829 @t2149) @t661))) (tptp.hAPP (tptp.hAPP @t2148 @t511) (tptp.hAPP (tptp.hAPP @t829 @t346) @t1753)))))))) % 54.38/54.68 (assume @p1545 (forall @t2139 (=> (= @t149 @t1202) (=> (and (=> @t1298 (and @t1180 @t1200)) (=> @t2151 (and @t1210 @t1211))) @t2125)))) % 54.38/54.68 (assume @p1546 (forall @t2153 (=> (tptp.hBOOL (tptp.hAPP @t2146 @t2123)) (=> @t2145 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1436 @t150) (tptp.hAPP (tptp.hAPP @t1913 (tptp.hAPP (tptp.hAPP @t745 @t1182) (tptp.hAPP (tptp.hAPP @t1261 @t2152) @t150))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2152 @t150)))))))) % 54.38/54.68 (assume @p1547 (forall @t1050 (and @t2162 (=> @t2102 (and @t2161 (=> @t2160 (= @t2158 (tptp.hAPP @t2157 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1979 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t513 @t1045)) @t1393)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t512 @t1045) @t511)) @t1365))) @t2154) @t2155))))))))) % 54.38/54.68 (assume @p1548 (forall @t1050 (and @t2162 (=> @t2102 (and @t2161 (=> @t2160 (= @t2158 (tptp.hAPP @t2157 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1979 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t359)) @t2156)) @t2154) @t2155))))))))) % 54.38/54.68 (assume @p1549 (forall @t1281 (and (=> @t1323 (and (=> @t2165 (= @t2127 @t2054)) (=> (not @t2165) (and (=> @t1301 (= @t2127 @t2091)) (=> @t1302 (= @t2127 @t2164)))))) (=> (not @t1323) (and (=> @t1298 (= @t2127 @t2037)) (=> @t2151 (= @t2127 @t2163))))))) % 54.38/54.68 (assume @p1550 (forall @t2117 (=> (tptp.hBOOL (tptp.hAPP @t2094 @t2116)) (=> (forall @t2115 (=> (tptp.hBOOL (tptp.hAPP @t2094 @t2114)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t2109) @t2108)) @t2113)) @t2112) @t2111))) @t2107)))) % 54.38/54.68 (assume @p1551 (forall (@list @t1882 @t1 @t2168 @t2170 @t2 @t17 @t1945 @t67) (= (tptp.hAPP @t2167 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2170 @t2168 @t2169) @t1) @t1882)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2170 @t2168 @t17) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t2168 @t2169) (tptp.tc_fun @t2168 @t17) @t2170) (tptp.hAPP (tptp.c_COMBB @t2169 @t17 @t2168) @t2167)) @t1)) @t1882)))) % 54.38/54.68 (assume @p1552 (forall @t2176 (= (tptp.hAPP @t2175 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2174 @t2173 @t17) (tptp.hAPP (tptp.c_COMBB @t2172 @t1945 @t67) @t2)) @t2171)) @t2))) % 54.38/54.68 (assume @p1553 (forall (@list @t67 @t17 @t346 @t36 @t2) (=> @t2183 @t2180))) % 54.38/54.68 (assume @p1554 (forall (@list @t67 @t17 @t346 @t36 @t42) (=> (tptp.hBOOL @t2184) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2179 @t42) @t2178))))) % 54.38/54.68 (assume @p1555 (forall @t2185 (=> @t2180 @t2183))) % 54.38/54.68 (assume @p1556 (forall (@list @t55 @t346 @t36 @t2186 @t1945 @t67 @t17) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2188 @t2186) @t2178) @t55)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2186 @t36) @t346) @t55))))) % 54.38/54.68 (assume @p1557 (forall (@list @t176 @t125 @t2 @t17 @t67 @t1945) (= (tptp.hAPP @t2192 @t2191) (tptp.hAPP @t2189 @t195)))) % 54.38/54.68 (assume @p1558 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t729))) % 54.38/54.68 (assume @p1559 (forall (@list @t1188 @t1332 @t153 @t149 @t17 @t10) (=> (= @t2194 (tptp.hAPP (tptp.hAPP @t2193 @t1332) @t1188)) (not (=> (= @t149 @t1332) (not (= @t153 @t1188))))))) % 54.38/54.68 (assume @p1560 (forall @t2200 (= (= @t2178 @t2199) @t2198))) % 54.38/54.68 (assume @p1561 (forall (@list @t67 @t17 @t111) (= @t687 (forall @t2115 (tptp.hBOOL (tptp.hAPP @t111 @t2201)))))) % 54.38/54.68 (assume @p1562 (forall (@list @t55 @t1945 @t67 @t17 @t1499 @t1882) (=> (= @t1882 @t1499) (= (tptp.hAPP @t2202 @t1882) (tptp.hAPP @t2202 @t1499))))) % 54.38/54.68 (assume @p1563 (forall (@list @t1140 @t490) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t2123) (tptp.hAPP @t2122 (tptp.hAPP @t729 @t1140))))) % 54.38/54.68 (assume @p1564 (forall (@list @t2203 @t153 @t149) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1275 @t1278) @t2203)) (tptp.hBOOL (tptp.hAPP @t2124 (tptp.hAPP tptp.c_Divides_OnegateSnd @t2203)))))) % 54.38/54.68 (assume @p1565 (forall @t2206 (= (tptp.hAPP @t2167 @t2205) @t2182))) % 54.38/54.68 (assume @p1566 (forall @t2207 (= (tptp.hAPP (tptp.hAPP @t2166 @t42) @t2205) @t2184))) % 54.38/54.68 (assume @p1567 (forall @t106 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t9 @t58) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t2209) @t2208)))) % 54.38/54.68 (assume @p1568 (forall @t106 (=> @t110 (=> @t296 (= @t2211 (tptp.hAPP (tptp.hAPP @t2210 @t1490) @t1558)))))) % 54.38/54.68 (assume @p1569 (forall @t604 (=> @t2215 (= @t2214 (tptp.hAPP @t2213 @t2212))))) % 54.38/54.68 (assume @p1570 (forall @t2126 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t149 @t153) @t2216)) (=> (tptp.hBOOL (tptp.hAPP @t81 @t153)) (=> @t1595 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t149 @t1433) (tptp.hAPP (tptp.hAPP @t2210 (tptp.hAPP (tptp.hAPP @t1389 @t490) @t150)) @t1594)))))))) % 54.38/54.68 (assume @p1571 (forall @t2153 (=> (tptp.hBOOL (tptp.hAPP @t2218 @t2216)) (=> @t1595 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t1579 @t150) (tptp.hAPP (tptp.hAPP @t2210 (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t1578 @t490)) (tptp.hAPP (tptp.hAPP @t1389 @t2217) @t150))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2217 @t150)))))))) % 54.38/54.68 (assume @p1572 (forall @t604 (=> @t2215 (= @t2220 (tptp.hAPP @t2219 @t2212))))) % 54.38/54.68 (assume @p1573 (forall (@list @t1882 @t55 @t17 @t1945 @t67) (= (tptp.hAPP (tptp.hAPP @t2166 @t55) @t1882) (tptp.hAPP (tptp.hAPP @t55 @t2224) @t2222)))) % 54.38/54.68 (assume @p1574 (forall (@list @t1 @t2 @t2170 @t1945 @t67 @t17) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2172 @t67 @t1945) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2170 @t2173 @t2172) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t2170 @t2172) @t1) @t2226))) @t2225) (tptp.hAPP @t2175 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2170 @t2173 @t17) @t2) @t1))))) % 54.38/54.68 (assume @p1575 (forall (@list @t522 @t111 @t17 @t1945 @t67) (= (tptp.hAPP (tptp.hAPP @t2166 @t111) @t522) (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP @t2223 @t522)) (tptp.hAPP @t2221 @t522))))) % 54.38/54.68 (assume @p1576 (forall (@list @t1882 @t2 @t17 @t1945 @t67) (= (tptp.hAPP @t2167 @t1882) (tptp.hAPP (tptp.hAPP @t2 @t2224) @t2222)))) % 54.38/54.68 (assume @p1577 (forall (@list @t17 @t10 @t8) (= @t8 (tptp.hAPP (tptp.hAPP @t2193 (tptp.hAPP @t2228 @t8)) (tptp.hAPP @t2227 @t8))))) % 54.38/54.68 (assume @p1578 (forall (@list @t503 @t17 @t10) (= (tptp.hAPP (tptp.hAPP @t2193 @t2230) @t2229) @t503))) % 54.38/54.68 (assume @p1579 (forall (@list @t490 @t503 @t17 @t10) (=> (= @t2230 (tptp.hAPP @t2228 @t490)) (=> (= @t2229 (tptp.hAPP @t2227 @t490)) (= @t503 @t490))))) % 54.38/54.68 (assume @p1580 (forall (@list @t67 @t17 @t2231 @t2232) (= (= @t2232 @t2231) (and (= (tptp.hAPP @t2226 @t2232) (tptp.hAPP @t2226 @t2231)) (= (tptp.hAPP @t2225 @t2232) (tptp.hAPP @t2225 @t2231)))))) % 54.38/54.68 (assume @p1581 (forall (@list @t2233 @t2203 @t9 @t58) (=> @t2235 (=> (tptp.hBOOL (tptp.hAPP @t2234 @t2233)) (= @t2203 @t2233))))) % 54.38/54.68 (assume @p1582 (forall (@list @t2203 @t9 @t58) (=> @t2235 (= @t2211 @t2203)))) % 54.38/54.68 (assume @p1583 (forall @t65 (tptp.hBOOL (tptp.hAPP @t2234 @t2211)))) % 54.38/54.68 (assume @p1584 (forall (@list @t149 @t27 @t28 @t17 @t10) (=> (= (tptp.hAPP @t2228 @t2236) @t149) (= @t28 @t149)))) % 54.38/54.68 (assume @p1585 (forall @t2237 (= (tptp.hAPP @t2228 @t2194) @t149))) % 54.38/54.68 (assume @p1586 (forall (@list @t149 @t27 @t28 @t10 @t17) (=> (= (tptp.hAPP @t2239 (tptp.hAPP (tptp.hAPP @t2238 @t28) @t27)) @t149) (= @t27 @t149)))) % 54.38/54.68 (assume @p1587 (forall (@list @t153 @t149 @t10 @t17) (= (tptp.hAPP @t2239 (tptp.hAPP (tptp.hAPP @t2238 @t149) @t153)) @t153))) % 54.38/54.68 (assume @p1588 (forall @t2241 (= (tptp.hAPP @t2226 @t2240) (tptp.hAPP (tptp.c_Product__Type_Ofst @t17 @t1945) @t125)))) % 54.38/54.68 (assume @p1589 (forall @t2244 (= (tptp.hAPP @t2243 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1945 @t17 @t67 @t2) @t125)) (tptp.hAPP @t2 @t2242)))) % 54.38/54.68 (assume @p1590 (forall (@list @t1 @t125 @t2 @t17 @t67 @t1945) (= (= @t2240 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1945 @t67 @t17 @t1) @t125)) (= (tptp.hAPP @t2 @t2245) (tptp.hAPP @t1 @t2245))))) % 54.38/54.68 (assume @p1591 (forall (@list @t1882 @t67 @t17) (= @t2247 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t67 @t17) @t2246) @t1882)))) % 54.38/54.68 (assume @p1592 (forall (@list @t1882 @t17 @t67) (= @t2248 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t67 @t17 @t17) (tptp.hAPP (tptp.c_COMBK @t2005 @t67) @t1961)) @t1882)))) % 54.38/54.68 (assume @p1593 (forall @t2250 (=> @t2249 (= @t1540 @t1140)))) % 54.38/54.68 (assume @p1594 (forall @t2250 (=> @t2249 (= @t1428 @t490)))) % 54.38/54.68 (assume @p1595 (forall @t73 (= (tptp.c_Divides_Odivmod__nat @t58 @t56) @t2252))) % 54.38/54.68 (assume @p1596 (forall @t1281 (= @t1282 (tptp.hAPP @t2219 @t2127)))) % 54.38/54.68 (assume @p1597 (forall @t1281 (= @t1444 (tptp.hAPP @t2213 @t2127)))) % 54.38/54.68 (assume @p1598 (forall @t65 (tptp.hBOOL (tptp.hAPP @t2234 @t2253)))) % 54.38/54.68 (assume @p1599 (forall @t65 (=> @t64 (= @t2211 @t2252)))) % 54.38/54.68 (assume @p1600 (forall @t65 (= @t2211 @t2253))) % 54.38/54.68 (assume @p1601 (forall @t1281 (=> @t1300 (=> @t1298 (= @t1282 (tptp.hAPP @t2219 @t2037)))))) % 54.38/54.68 (assume @p1602 (forall @t1281 (=> @t1300 (=> @t1298 (= @t1444 (tptp.hAPP @t2213 @t2037)))))) % 54.38/54.68 (assume @p1603 (forall @t1281 (=> @t1184 (=> @t2165 (= @t1282 (tptp.hAPP @t2219 @t2054)))))) % 54.38/54.68 (assume @p1604 (forall @t1281 (=> @t1184 (=> @t2165 (= @t1444 (tptp.hAPP @t2213 @t2054)))))) % 54.38/54.68 (assume @p1605 (forall @t604 (=> @t1678 (= @t2220 (tptp.hAPP @t2219 @t2050))))) % 54.38/54.68 (assume @p1606 (forall @t604 (=> @t1678 (= @t2214 (tptp.hAPP @t2213 @t2050))))) % 54.38/54.68 (assume @p1607 (forall @t1281 (=> @t1184 (=> @t1326 (= @t1282 (tptp.hAPP @t2219 @t2164)))))) % 54.38/54.68 (assume @p1608 (forall @t1281 (=> @t1184 (=> @t1326 (= @t1444 (tptp.hAPP @t2213 @t2164)))))) % 54.38/54.68 (assume @p1609 (forall @t216 (and (=> @t2257 (= @t2256 (tptp.hAPP @t2251 @t86))) (=> (not @t2257) (= @t2256 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2254) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2255 tptp.tc_Nat_Onat) @t2210) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t1154 @t33))))))) % 54.38/54.68 (assume @p1610 (forall @t1281 (=> @t1300 (=> @t2039 (= @t1282 (tptp.hAPP @t2219 @t2163)))))) % 54.38/54.68 (assume @p1611 (forall @t2147 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t149 @t150) (tptp.hAPP (tptp.hAPP @t2210 @t2144) @t2141))) (=> (tptp.hBOOL (tptp.hAPP @t2218 (tptp.hAPP (tptp.hAPP @t2210 @t2143) @t2140))) (=> @t1595 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t1569 @t150) (tptp.hAPP (tptp.hAPP @t2210 (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP (tptp.hAPP @t760 @t2144) @t2143)) (tptp.hAPP (tptp.hAPP @t1389 @t2258) @t150))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2258 @t150))))))))) % 54.38/54.68 (assume @p1612 (forall @t1281 (=> @t1300 (=> @t2039 (= @t1444 (tptp.hAPP @t2213 @t2163)))))) % 54.38/54.68 (assume @p1613 (forall (@list @t1882 @t1 @t2 @t67 @t17) (= (tptp.c_Product__Type_Oprod_Oprod__size @t17 @t67 @t2 @t1 @t1882) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t2 @t2247)) (tptp.hAPP @t1 (tptp.hAPP @t2225 @t1882)))) @t221)))) % 54.38/54.68 (assume @p1614 (forall (@list @t67 @t17 @t1499 @t2260 @t1882 @t111) (=> (tptp.hBOOL (tptp.hAPP @t111 @t1882)) (=> (tptp.hBOOL (tptp.hAPP @t2260 @t1499)) (and (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t2226 @t2259))) (tptp.hBOOL (tptp.hAPP @t2260 (tptp.hAPP @t2225 @t2259)))))))) % 54.38/54.68 (assume @p1615 (forall (@list @t17 @t67 @t125 @t176 @t111) (=> (tptp.hBOOL (tptp.hAPP @t2265 @t125)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP @t2243 @t2263)) (tptp.hAPP @t2264 @t2263)))))) % 54.38/54.68 (assume @p1616 (forall @t1918 (= (tptp.hAPP @t2266 @t1917) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t2266 @t1916)) @t221)))) % 54.38/54.68 (assume @p1617 (forall @t1999 (= (tptp.hAPP (tptp.hAPP @t2267 @t1349) @t34) (tptp.hAPP @t2270 (tptp.hAPP @t1922 (tptp.hAPP @t2269 (tptp.hAPP (tptp.hAPP @t2023 (tptp.hAPP (tptp.hAPP @t2022 @t2267) tptp.c_Int_Onat)) @t33))))))) % 54.38/54.68 (assume @p1618 (forall @t2000 (= (tptp.hAPP @t2272 @t1349) (tptp.hAPP @t2270 (tptp.hAPP @t1922 (tptp.hAPP @t2269 (tptp.hAPP (tptp.hAPP @t2268 @t2271) tptp.c_Int_Onat))))))) % 54.38/54.68 (assume @p1619 (forall @t23 (= (tptp.hAPP @t2266 @t9) @t9))) % 54.38/54.68 (assume @p1620 (forall @t344 (=> @t120 (= (tptp.hAPP @t2274 @t149) @t149)))) % 54.38/54.68 (assume @p1621 (forall @t174 (=> @t120 (= @t2276 (tptp.hAPP @t2275 @t149))))) % 54.38/54.68 (assume @p1622 (forall @t121 (=> @t120 (= @t2280 @t2278)))) % 54.38/54.68 (assume @p1623 (forall @t174 (=> @t120 (= (tptp.hAPP @t2274 @t2276) @t2276)))) % 54.38/54.68 (assume @p1624 (forall @t121 (=> @t120 (= (tptp.hAPP @t2279 @t2280) @t2280)))) % 54.38/54.68 (assume @p1625 (forall @t157 (=> @t120 (= (tptp.hAPP @t2275 (tptp.hAPP @t2274 @t150)) @t2281)))) % 54.38/54.68 (assume @p1626 (forall @t146 (=> @t120 (= @t2284 (tptp.hAPP @t2277 @t2282))))) % 54.38/54.68 (assume @p1627 (forall @t162 (=> @t120 (= (tptp.hAPP (tptp.hAPP @t2273 @t2276) @t150) @t2281)))) % 54.38/54.68 (assume @p1628 (forall @t146 (=> @t120 (= (tptp.hAPP (tptp.hAPP @t2273 @t2280) @t134) @t2284)))) % 54.38/54.68 (assume @p1629 (forall @t121 (=> @t120 (tptp.hBOOL (tptp.hAPP @t2285 @t28))))) % 54.38/54.68 (assume @p1630 (forall @t121 (=> @t120 (tptp.hBOOL (tptp.hAPP @t2285 @t27))))) % 54.38/54.68 (assume @p1631 (forall @t191 (=> @t190 (= @t179 (= @t2288 @t125))))) % 54.38/54.68 (assume @p1632 (forall @t2291 (=> @t190 (= (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t2286 @t176) @t522))) @t2290)))) % 54.38/54.68 (assume @p1633 (forall @t2295 (=> @t120 (=> @t2294 @t2293)))) % 54.38/54.68 (assume @p1634 (forall @t2297 (=> @t120 (=> @t2296 @t2293)))) % 54.38/54.68 (assume @p1635 (forall @t121 (=> @t120 (=> @t124 (= @t2280 @t28))))) % 54.38/54.68 (assume @p1636 (forall @t140 (=> @t120 (=> @t123 (= @t2280 @t27))))) % 54.38/54.68 (assume @p1637 (forall @t2300 (=> @t120 (=> @t1178 (=> @t2299 @t2298))))) % 54.38/54.68 (assume @p1638 (forall @t146 (=> @t120 (=> @t124 (=> @t144 (tptp.hBOOL (tptp.hAPP @t76 @t2283))))))) % 54.38/54.68 (assume @p1639 (forall @t1552 (=> @t120 (=> @t159 (=> @t2301 (tptp.hBOOL (tptp.hAPP @t2292 (tptp.hAPP (tptp.hAPP @t2273 @t150) @t407)))))))) % 54.38/54.68 (assume @p1640 (forall @t2300 (=> @t120 (=> @t2298 @t2302)))) % 54.38/54.68 (assume @p1641 (forall @t2291 (=> @t190 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t2288) @t522)) (or @t2289 @t2303))))) % 54.38/54.68 (assume @p1642 (forall @t2297 (=> @t120 (=> @t2305 @t2304)))) % 54.38/54.68 (assume @p1643 (forall @t2295 (=> @t120 (=> @t2306 @t2304)))) % 54.38/54.68 (assume @p1644 (forall @t2291 (=> @t190 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t2288) @t522)) (or @t2308 @t2307))))) % 54.38/54.68 (assume @p1645 (forall @t2312 (=> @t190 (= (tptp.hBOOL (tptp.hAPP @t2309 @t2288)) (and @t2311 @t2310))))) % 54.38/54.68 (assume @p1646 (forall @t146 (=> @t994 (= (tptp.hAPP (tptp.hAPP @t733 @t2280) @t134) (tptp.hAPP (tptp.hAPP @t2273 @t2313) @t1014))))) % 54.38/54.68 (assume @p1647 (forall @t146 (=> @t975 (= (tptp.hAPP (tptp.hAPP @t789 @t2280) @t134) (tptp.hAPP (tptp.hAPP @t2273 @t2315) @t2314))))) % 54.38/54.68 (assume @p1648 (forall @t23 (= (tptp.hAPP (tptp.hAPP @t2267 @t56) @t9) @t56))) % 54.38/54.68 (assume @p1649 (forall @t23 (= (tptp.hAPP @t2316 @t56) @t56))) % 54.38/54.68 (assume @p1650 (forall @t65 (= (tptp.hAPP (tptp.hAPP @t2267 @t59) @t12) (tptp.hAPP tptp.c_Nat_OSuc @t2317)))) % 54.38/54.68 (assume @p1651 (forall (@list @t9 @t240 @t58) (= (tptp.hAPP (tptp.hAPP @t2267 (tptp.hAPP @t767 @t240)) @t1038) (tptp.hAPP (tptp.hAPP @t740 @t2317) @t240)))) % 54.38/54.68 (assume @p1652 (forall @t2320 (=> @t2319 (=> @t68 (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin @t67) @t272) @t52) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2286 @t86) @t33))))))) % 54.38/54.68 (assume @p1653 (forall @t2327 (=> @t2326 (and (=> @t2323 (= @t2322 @t2321)) (=> @t2324 (= @t2322 @t900)))))) % 54.38/54.68 (assume @p1654 (forall @t65 (= @t1428 (tptp.hAPP @t2328 @t2211)))) % 54.38/54.68 (assume @p1655 (forall @t65 (= @t1540 (tptp.hAPP @t2329 @t2211)))) % 54.38/54.68 (assume @p1656 (= (tptp.hAPP @t2266 @t56) @t56)) % 54.38/54.68 (assume @p1657 (forall (@list @t2330 @t33 @t86) (= (tptp.hBOOL (tptp.hAPP @t2333 @t2330)) (and (= @t86 (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP (tptp.hAPP @t288 @t2332) @t33)) @t2331)) (=> @t83 (= @t2332 @t56)) (=> @t84 (and (=> @t82 (and (tptp.hBOOL (tptp.hAPP @t80 @t2331)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t2331) @t33)))) (=> (not @t82) (and (tptp.hBOOL (tptp.hAPP @t87 @t2331)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t2331) @t56)))))))))) % 54.38/54.68 (assume @p1658 (forall @t93 (= (tptp.hAPP (tptp.hAPP @t2267 @t86) @t34) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t56 (tptp.hAPP @t2018 (tptp.hAPP (tptp.hAPP @t2334 @t2267) @t33)) @t86)))) % 54.38/54.68 (assume @p1659 (forall @t216 (= (tptp.hAPP @t2272 @t86) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t56 (tptp.hAPP @t2018 @t2271) @t86)))) % 54.38/54.68 (assume @p1660 (forall (@list @t107 @t239) (=> (tptp.hBOOL (tptp.hAPP @t2336 @t239)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1890 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t2335) (tptp.hAPP (tptp.c_Random_Orange @t239) @t107))) @t239))))) % 54.38/54.68 (assume @p1661 (forall @t45 (=> @t2325 (= @t2286 (tptp.c_Orderings_Oord_Omin @t17 @t49))))) % 54.38/54.68 (assume @p1662 (forall @t2207 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t67 @t1945 @t17 @t42 @t2205) @t2184))) % 54.38/54.68 (assume @p1663 (forall @t2000 (= (tptp.hAPP @t2340 @t1349) (tptp.hAPP @t2270 (tptp.hAPP @t2339 (tptp.hAPP @t2269 (tptp.hAPP (tptp.hAPP @t2268 @t2338) tptp.c_Int_Onat))))))) % 54.38/54.68 (assume @p1664 (forall @t1999 (= (tptp.hAPP (tptp.hAPP @t2337 @t1349) @t34) (tptp.hAPP @t2270 (tptp.hAPP @t2339 (tptp.hAPP @t2269 (tptp.hAPP (tptp.hAPP @t2023 (tptp.hAPP (tptp.hAPP @t2022 @t2337) tptp.c_Int_Onat)) @t33))))))) % 54.38/54.68 (assume @p1665 (forall @t2343 (= (tptp.hAPP @t2192 (tptp.hAPP @t2342 @t125)) (tptp.hAPP (tptp.hAPP @t2171 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t2170 @t1945) @t125))) (tptp.hAPP @t2 (tptp.hAPP @t2341 @t125)))))) % 54.38/54.68 (assume @p1666 (forall @t146 (=> @t120 (= (tptp.hAPP (tptp.hAPP @t2344 @t2349) @t134) @t2348)))) % 54.38/54.68 (assume @p1667 (forall @t162 (=> @t120 (= (tptp.hAPP (tptp.hAPP @t2344 @t2353) @t150) @t2352)))) % 54.38/54.68 (assume @p1668 (forall @t146 (=> @t120 (= @t2348 (tptp.hAPP @t2345 @t2354))))) % 54.38/54.68 (assume @p1669 (forall @t157 (=> @t120 (= (tptp.hAPP @t2350 (tptp.hAPP @t2351 @t150)) @t2352)))) % 54.38/54.68 (assume @p1670 (forall @t121 (=> @t120 (= (tptp.hAPP @t2347 @t2349) @t2349)))) % 54.38/54.68 (assume @p1671 (forall @t174 (=> @t120 (= (tptp.hAPP @t2351 @t2353) @t2353)))) % 54.38/54.68 (assume @p1672 (forall @t121 (=> @t120 (= @t2349 @t2355)))) % 54.38/54.68 (assume @p1673 (forall @t174 (=> @t120 (= @t2353 (tptp.hAPP @t2350 @t149))))) % 54.38/54.68 (assume @p1674 (forall @t344 (=> @t120 (= (tptp.hAPP @t2351 @t149) @t149)))) % 54.38/54.68 (assume @p1675 (forall @t2312 (=> @t190 (= (tptp.hBOOL (tptp.hAPP @t2356 @t2359)) (or (tptp.hBOOL (tptp.hAPP @t2356 @t125)) (tptp.hBOOL (tptp.hAPP @t2356 @t176))))))) % 54.38/54.68 (assume @p1676 (forall @t2363 (=> @t120 (=> @t2362 @t2360)))) % 54.38/54.68 (assume @p1677 (forall @t1552 (=> @t120 (=> @t159 (=> @t2301 (tptp.hBOOL (tptp.hAPP @t2361 (tptp.hAPP (tptp.hAPP @t2344 @t150) @t407)))))))) % 54.38/54.68 (assume @p1678 (forall @t139 (=> @t120 (=> @t123 (=> @t136 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t2346) @t28))))))) % 54.38/54.68 (assume @p1679 (forall @t2295 (=> @t120 (=> @t2294 (=> @t2296 @t2362))))) % 54.38/54.68 (assume @p1680 (forall @t140 (=> @t120 (=> @t123 (= @t2349 @t28))))) % 54.38/54.68 (assume @p1681 (forall @t121 (=> @t120 (=> @t124 (= @t2349 @t27))))) % 54.38/54.68 (assume @p1682 (forall @t2365 (=> @t120 (=> @t2299 @t2364)))) % 54.38/54.68 (assume @p1683 (forall @t2300 (=> @t120 (=> @t1178 @t2364)))) % 54.38/54.68 (assume @p1684 (forall @t2291 (=> @t190 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t2359) @t522)) @t2366)))) % 54.38/54.68 (assume @p1685 (forall @t191 (=> @t190 (= @t179 (= @t2359 @t176))))) % 54.38/54.68 (assume @p1686 (forall @t140 (=> @t120 (tptp.hBOOL (tptp.hAPP @t122 @t2349))))) % 54.38/54.68 (assume @p1687 (forall @t121 (=> @t120 (tptp.hBOOL (tptp.hAPP @t76 @t2349))))) % 54.38/54.68 (assume @p1688 (forall @t2312 (=> @t190 (= (tptp.hBOOL (tptp.hAPP @t2309 @t2359)) (or @t2311 @t2310))))) % 54.38/54.68 (assume @p1689 (forall @t2291 (=> @t190 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t2359) @t522)) (and @t2308 @t2307))))) % 54.38/54.68 (assume @p1690 (forall @t2300 (=> @t120 (=> @t738 @t2367)))) % 54.38/54.68 (assume @p1691 (forall @t2365 (=> @t120 (=> @t2368 @t2367)))) % 54.38/54.68 (assume @p1692 (forall @t146 (=> @t994 (= (tptp.hAPP (tptp.hAPP @t733 @t2349) @t134) (tptp.hAPP (tptp.hAPP @t2344 @t2313) @t1014))))) % 54.38/54.68 (assume @p1693 (forall @t146 (=> @t975 (= (tptp.hAPP (tptp.hAPP @t789 @t2349) @t134) (tptp.hAPP (tptp.hAPP @t2344 @t2315) @t2314))))) % 54.38/54.68 (assume @p1694 (forall @t23 (= (tptp.hAPP @t2369 @t56) @t9))) % 54.38/54.68 (assume @p1695 (forall @t23 (= (tptp.hAPP (tptp.hAPP @t2337 @t56) @t9) @t9))) % 54.38/54.68 (assume @p1696 (forall @t65 (= (tptp.hAPP (tptp.hAPP @t2337 @t59) @t12) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2337 @t58) @t9))))) % 54.38/54.68 (assume @p1697 (forall @t1827 (=> @t120 (= (tptp.hAPP (tptp.hAPP @t2273 @t2346) @t28) (tptp.hAPP (tptp.hAPP @t2344 @t2278) (tptp.hAPP (tptp.hAPP @t2273 @t134) @t28)))))) % 54.38/54.68 (assume @p1698 (forall @t1827 (=> @t120 (= (tptp.hAPP (tptp.hAPP @t2344 @t2283) @t28) (tptp.hAPP (tptp.hAPP @t2273 @t2355) (tptp.hAPP (tptp.hAPP @t2344 @t134) @t28)))))) % 54.38/54.68 (assume @p1699 (forall @t146 (=> @t120 (= @t2371 @t2370)))) % 54.38/54.68 (assume @p1700 (forall @t146 (=> @t120 (= @t2373 @t2372)))) % 54.38/54.68 (assume @p1701 (forall @t121 (=> @t120 (= (tptp.hAPP @t2279 @t2349) @t28)))) % 54.38/54.68 (assume @p1702 (forall @t121 (=> @t120 (= (tptp.hAPP @t2347 @t2280) @t28)))) % 54.38/54.68 (assume @p1703 (forall @t2320 (=> @t2319 (=> @t68 (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax @t67) @t272) @t52) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2357 @t86) @t33))))))) % 54.38/54.68 (assume @p1704 (forall (@list @t176 @t125 @t2 @t67 @t17 @t1945) (= (tptp.hAPP @t2375 (tptp.hAPP (tptp.hAPP @t2374 @t125) @t176)) (tptp.hAPP (tptp.hAPP @t2171 @t127) @t176)))) % 54.38/54.68 (assume @p1705 (forall (@list @t1 @t125 @t2 @t67 @t17 @t1945) (= (= @t2378 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t1945 @t17 @t67 @t1) @t125)) (= @t2377 (tptp.hAPP @t1 @t2376))))) % 54.38/54.68 (assume @p1706 (forall @t2241 (= (tptp.hAPP @t2226 @t2378) @t2377))) % 54.38/54.68 (assume @p1707 (forall @t2244 (= (tptp.hAPP @t2243 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t1945 @t67 @t17 @t2) @t125)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t1945 @t17) @t125)))) % 54.38/54.68 (assume @p1708 (forall @t2327 (=> @t2326 (and (=> @t2323 (= @t2379 @t900)) (=> @t2324 (= @t2379 @t2321)))))) % 54.38/54.68 (assume @p1709 (forall @t146 (=> @t120 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t2373) @t2372))))) % 54.38/54.68 (assume @p1710 (forall @t146 (=> @t120 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t2370) @t2371))))) % 54.38/54.68 (assume @p1711 (forall @t121 (=> @t2380 (= (tptp.hAPP @t818 @t2349) (tptp.hAPP (tptp.hAPP @t2273 @t1121) @t819))))) % 54.38/54.68 (assume @p1712 (forall @t121 (=> @t2380 (= (tptp.hAPP @t818 @t2280) (tptp.hAPP (tptp.hAPP @t2344 @t1121) @t819))))) % 54.38/54.68 (assume @p1713 (forall @t106 (= (tptp.hAPP (tptp.hAPP @t760 @t1024) @t58) (tptp.hAPP @t2369 @t58)))) % 54.38/54.68 (assume @p1714 (forall (@list @t1882 @t1 @t2170 @t2 @t17 @t67 @t1945) (= (tptp.hAPP @t2192 (tptp.hAPP @t2342 @t1882)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2170 @t17 @t67 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1945 @t67 @t2170 @t2) @t1882))))) % 54.38/54.68 (assume @p1715 (forall @t216 (= (tptp.hAPP @t2340 @t86) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t34 (tptp.hAPP @t2018 @t2338) @t86)))) % 54.38/54.68 (assume @p1716 (forall @t93 (= (tptp.hAPP (tptp.hAPP @t2337 @t86) @t34) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t34 (tptp.hAPP @t2018 (tptp.hAPP (tptp.hAPP @t2334 @t2337) @t33)) @t86)))) % 54.38/54.68 (assume @p1717 (forall @t2385 (= (tptp.hAPP @t2375 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2170 @t67 @t1945 @t1) @t125)) (tptp.hAPP (tptp.hAPP @t2171 @t2384) @t2382)))) % 54.38/54.68 (assume @p1718 (forall @t45 (=> @t190 (= (tptp.c_Orderings_Oord_Omin @t17 @t2387) @t2357)))) % 54.38/54.68 (assume @p1719 (forall @t45 (=> @t2325 (= @t2357 (tptp.c_Orderings_Oord_Omax @t17 @t49))))) % 54.38/54.68 (assume @p1720 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t2133 (tptp.hAPP (tptp.hAPP @t2389 (tptp.hAPP @t1993 (tptp.hAPP @t1995 @t513))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2130) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2388 @t2388 tptp.tc_Int_Oint) @t2096) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2034 @t2388 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2130 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t661))))) % 54.38/54.68 (assume @p1721 (forall @t1295 @t2392)) % 54.38/54.68 (assume @p1722 (forall @t1320 (=> (tptp.hBOOL (tptp.hAPP @t2393 @t2079)) @t2392))) % 54.38/54.68 (assume @p1723 (forall @t2399 (and (=> @t2397 (= @t2396 @t2262)) (=> @t2398 (= @t2396 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t17 @t67 @t17 @t2395) @t127) (tptp.c_Random_Oiterate @t67 @t17 @t2394 @t2))))))) % 54.38/54.68 (assume @p1724 (forall (@list @t53 @t1 @t2 @t2400 @t2168 @t67 @t2170 @t1945 @t17) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t17 @t1945 @t2170 @t67) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t17 @t2168 @t2400 @t2404) @t2) @t1)) @t53) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t17 @t2168 @t2400 @t67) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2168 @t2403 @t2401) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t2400 @t2404) (tptp.tc_fun @t2403 @t2401) @t2168) (tptp.c_Product__Type_Oscomp @t2400 @t1945 @t2170 @t67)) @t1)) @t53))))) % 54.38/54.68 (assume @p1725 (forall (@list @t125 @t1945 @t67 @t17) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t17 @t67 @t1945 @t2169) @t125) @t2204) @t125))) % 54.38/54.68 (assume @p1726 (forall (@list @t2 @t125 @t67 @t1945 @t17) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t17 @t1945 @t17 @t67) (tptp.hAPP (tptp.c_Product__Type_OPair @t1945 @t17) @t125)) @t2) @t127))) % 54.38/54.68 (assume @p1727 (forall @t2406 (= @t2405 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1945 @t2170 @t17) @t1) @t127)))) % 54.38/54.68 (assume @p1728 (forall @t78 (=> @t120 (= (tptp.hAPP @t2279 @t28) @t28)))) % 54.38/54.68 (assume @p1729 (forall @t78 (=> @t120 (= (tptp.hAPP @t2347 @t28) @t28)))) % 54.38/54.68 (assume @p1730 (forall @t45 (=> @t190 (= (tptp.c_Orderings_Oord_Omax @t17 @t2387) @t2286)))) % 54.38/54.68 (assume @p1731 (forall @t2406 (= @t2405 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t2383 @t127)) (tptp.hAPP @t2381 @t127))))) % 54.38/54.68 (assume @p1732 (forall @t30 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t28) @t27) (tptp.hAPP @t509 (tptp.c_Nitpick_Onat__gcd @t2409 @t2408))))) % 54.38/54.68 (assume @p1733 (forall @t2117 (=> (tptp.hBOOL (tptp.hAPP @t2393 @t2116)) (=> (forall @t2115 (=> (tptp.hBOOL (tptp.hAPP @t2393 @t2114)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t2108) @t511)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP @t729 @t2109)) (tptp.hAPP @t729 @t2108)))) @t2111))) @t2107)))) % 54.38/54.68 (assume @p1734 (forall @t30 (= (tptp.c_Nitpick_Oint__lcm @t28 @t27) (tptp.hAPP @t509 (tptp.c_Nitpick_Onat__lcm @t2409 @t2408))))) % 54.38/54.68 (assume @p1735 (forall @t478 (= (tptp.c_Nitpick_Ozero__frac @t10) (tptp.c_Nitpick_OAbs__Frac @t10 @t2053)))) % 54.38/54.68 (assume @p1736 (forall @t1239 (and (=> @t2411 (= @t2410 @t28)) (=> (not @t2411) (= @t2410 (tptp.c_Nitpick_Onat__gcd @t27 @t1563)))))) % 54.38/54.68 (assume @p1737 (forall @t30 (= (tptp.c_Nitpick_Onat__lcm @t28 @t27) (tptp.hAPP (tptp.hAPP @t1389 @t578) @t2410)))) % 54.38/54.68 (assume @p1738 (forall @t478 (= (tptp.c_Nitpick_Oone__frac @t10) (tptp.c_Nitpick_OAbs__Frac @t10 (tptp.hAPP (tptp.hAPP @t1913 @t661) @t661))))) % 54.38/54.68 (assume @p1739 (forall @t454 (= (tptp.c_Nitpick_Onumber__of__frac @t10 @t9) (tptp.c_Nitpick_OAbs__Frac @t10 (tptp.hAPP (tptp.hAPP @t1913 @t9) @t661))))) % 54.38/54.68 (assume @p1740 (forall @t575 (=> (tptp.hBOOL (tptp.hAPP @t2415 @t2414)) (and (=> @t2413 (= @t2412 @t125)) (=> (not @t2413) (= @t2412 (tptp.c_Nitpick_Onat__gcd @t176 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t125 @t176)))))))) % 54.38/54.68 (assume @p1741 (forall @t174 (= (tptp.hAPP (tptp.hAPP @t2416 @t149) @t153) (tptp.c_Nitpick_OAbs__Frac @t10 (tptp.c_Nitpick_Onorm__frac @t149 @t153))))) % 54.38/54.68 (assume @p1742 (forall @t2428 (= @t2427 (forall @t7 (=> @t2422 @t2419))))) % 54.38/54.68 (assume @p1743 (forall (@list @t2260 @t17 @t125 @t111) (=> @t2433 (=> @t2431 @t2430)))) % 54.38/54.68 (assume @p1744 (forall (@list @t125 @t2260 @t111 @t17) (=> @t2431 (=> @t2433 @t2430)))) % 54.38/54.68 (assume @p1745 (forall (@list @t2260 @t67 @t17 @t176 @t125 @t111) (=> @t2438 (=> @t2437 @t2434)))) % 54.38/54.68 (assume @p1746 (forall (@list @t176 @t125 @t2260 @t111 @t67 @t17) (=> @t2437 (=> @t2438 @t2434)))) % 54.38/54.68 (assume @p1747 (forall @t2117 (=> (tptp.hBOOL (tptp.hAPP @t2415 (tptp.hAPP (tptp.hAPP @t2210 @t2106) @t2105))) (=> (forall @t287 (=> (tptp.hBOOL (tptp.hAPP @t2415 @t2440)) (=> (=> (not (= @t283 @t56)) (tptp.hBOOL (tptp.hAPP @t2439 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3 @t283)))) (tptp.hBOOL (tptp.hAPP @t582 @t283))))) @t2107)))) % 54.38/54.68 (assume @p1748 (forall @t2447 (= (tptp.c_Nitpick_Oplus__frac @t17 @t1499 @t1753) (tptp.hAPP (tptp.hAPP @t2011 (tptp.c_Nitpick_Oint__lcm @t2446 @t2442)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t17) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2099 tptp.tc_Int_Oint) (tptp.c_Nitpick_Ofrac @t17)) (tptp.hAPP (tptp.hAPP @t1968 (tptp.hAPP @t2062 (tptp.hAPP (tptp.hAPP @t2445 (tptp.hAPP @t514 (tptp.hAPP @t2444 @t1499))) (tptp.hAPP @t2443 @t2446)))) (tptp.hAPP (tptp.hAPP @t2445 (tptp.hAPP @t514 (tptp.hAPP @t2444 @t1753))) (tptp.hAPP @t2443 @t2442))))) @t1967))))) % 54.38/54.68 (assume @p1749 (forall (@list @t1945 @t67 @t17) (= (tptp.c_Product__Type_Ointernal__split @t17 @t67 @t1945) @t2175))) % 54.38/54.68 (assume @p1750 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t56)) % 54.38/54.68 (assume @p1751 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t56)) % 54.38/54.68 (assume @p1752 (forall (@list @t346 @t36 @t55 @t17 @t1945 @t67) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t67 @t1945 @t17) @t55) @t2205) @t2448))) % 54.38/54.68 (assume @p1753 (forall (@list @t1140 @t490 @t10) (= (tptp.c_Nitpick_Otimes__frac @t10 @t490 @t1140) (tptp.hAPP (tptp.hAPP @t2416 (tptp.hAPP (tptp.hAPP @t514 @t2452) (tptp.hAPP @t2451 @t1140))) (tptp.hAPP (tptp.hAPP @t514 @t2450) (tptp.hAPP @t2449 @t1140)))))) % 54.38/54.68 (assume @p1754 (forall (@list @t490 @t10 @t17) (=> (and (tptp.class_Rings_Oinverse @t17) @t2103) (= (tptp.c_Nitpick_Oof__frac @t10 @t17 @t490) (tptp.hAPP (tptp.hAPP @t1754 (tptp.hAPP @t591 @t2452)) (tptp.hAPP @t591 @t2450)))))) % 54.38/54.68 (assume @p1755 (forall @t2453 (= (tptp.c_Nitpick_Oinverse__frac @t10 @t490) (tptp.hAPP (tptp.hAPP @t2416 @t2450) @t2452)))) % 54.38/54.68 (assume @p1756 (forall @t2453 (= (tptp.c_Nitpick_Ouminus__frac @t10 @t490) (tptp.c_Nitpick_OAbs__Frac @t10 (tptp.hAPP (tptp.hAPP @t1913 (tptp.hAPP @t729 @t2452)) @t2450))))) % 54.38/54.68 (assume @p1757 (forall @t2447 (= (tptp.c_Nitpick_Oless__frac @t17 @t1499 @t1753) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t2454) @t511))))) % 54.38/54.68 (assume @p1758 (forall @t2447 (= (tptp.c_Nitpick_Oless__eq__frac @t17 @t1499 @t1753) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t2454) @t511))))) % 54.38/54.68 (assume @p1759 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t509 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 54.38/54.68 (assume @p1760 (forall (@list @t346 @t36 @t2455 @t2456 @t67 @t17) (= (tptp.c_Nitpick_Opair__box_Opair__box__size @t17 @t67 @t2456 @t2455 @t2458) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t2457 (tptp.hAPP @t2455 @t346))) @t221)))) % 54.38/54.68 (assume @p1761 (forall @t2461 (= (tptp.c_HOL_OThe @t2172 @t2460) (tptp.c_HOL_OThe @t2172 @t2459)))) % 54.38/54.68 (assume @p1762 (forall (@list @t2472 @t1 @t17 @t2473) (and (=> @t2475 (= @t2474 @t2476)) (=> (not @t2475) (= @t2474 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t2335 @t2464 @t2335 @t2469) (tptp.hAPP @t1 @t2472)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2471 @t2470 @t2464) (tptp.hAPP (tptp.c_Product__Type_Oscomp @t2335 @t2466 @t2335 @t2469) (tptp.c_Random__Sequence_ORandom @t17 @t1 (tptp.hAPP (tptp.hAPP @t1757 @t2473) @t1751) @t2472))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2467 @t2471 @t2464) (tptp.hAPP (tptp.c_COMBB @t2466 @t2470 @t2466) @t2468)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2466 @t2467 @t2464) (tptp.c_DSequence_Ounion @t17)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t2466 @t2464) @t2463) (tptp.c_Product__Type_Ofst @t17 @t2462))))))))))) % 54.38/54.68 (assume @p1763 (forall @t2200 (= (= @t2458 (tptp.c_Nitpick_Opair__box_OPairBox @t17 @t67 @t2196 @t2195)) @t2198))) % 54.38/54.68 (assume @p1764 (forall @t2487 (= (tptp.c_HOL_OThe @t2172 @t2486) @t2477))) % 54.38/54.68 (assume @p1765 (forall @t2461 (= (tptp.c_HOL_OThe @t2172 @t111) (tptp.c_HOL_OThe @t2172 @t2489)))) % 54.38/54.68 (assume @p1766 (forall @t93 (= @t2256 (tptp.c_HOL_OThe @t2254 @t2333)))) % 54.38/54.68 (assume @p1767 (forall (@list @t2472 @t2473 @t17) (= (tptp.c_Random__Sequence_Oempty @t17 @t2473 @t2472) @t2476))) % 54.38/54.68 (assume @p1768 (forall (@list @t2472 @t2473 @t125 @t17) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2490 @t125) @t2473) @t2472) (tptp.hAPP @t2468 (tptp.hAPP @t2463 @t125))))) % 54.38/54.68 (assume @p1769 (forall @t2237 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Nitpick_Opair__box @t10 @t17)) (tptp.c_Nitpick_Opair__box_OPairBox @t10 @t17 @t149 @t153)) @t56))) % 54.38/54.68 (assume @p1770 (forall @t2207 (= (tptp.c_Nitpick_Opair__box_Opair__box__case @t67 @t1945 @t17 @t42 @t2491) @t2184))) % 54.38/54.68 (assume @p1771 (forall @t2207 (= (tptp.c_Nitpick_Opair__box_Opair__box__rec @t67 @t1945 @t17 @t42 @t2491) @t2184))) % 54.38/54.68 (assume @p1772 (forall @t744 (= (tptp.c_HOL_OThe @t17 @t2493) @t36))) % 54.38/54.68 (assume @p1773 (forall @t282 (= (tptp.c_HOL_OThe @t17 @t2479) @t125))) % 54.38/54.68 (assume @p1774 (forall (@list @t1945 @t2 @t2260 @t1882 @t17 @t67 @t111) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 @t2248) (tptp.hAPP @t2264 @t1882))) (=> (forall @t287 (=> (tptp.hBOOL (tptp.hAPP @t2439 @t3)) (tptp.hBOOL (tptp.hAPP @t2260 @t2494)))) (tptp.hBOOL (tptp.hAPP @t2260 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t67 @t17 @t1945) @t2) @t1882))))))) % 54.38/54.68 (assume @p1775 (forall (@list @t31 @t2496) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t2496) @t31) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t2496 (tptp.hAPP (tptp.hAPP @t2495 (tptp.hAPP @t1743 @t1656)) @t31)))))) % 54.38/54.68 (assume @p1776 (forall @t695 (= (not (= @t31 @t2497)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1892 @t1751) @t31))))) % 54.38/54.68 (assume @p1777 (forall @t216 (= (= @t2499 @t2498) @t207))) % 54.38/54.68 (assume @p1778 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 54.38/54.68 (assume @p1779 (forall @t106 (= (tptp.hAPP (tptp.hAPP @t2495 @t2501) @t2500) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t332)))) % 54.38/54.68 (assume @p1780 (= @t1748 @t2497)) % 54.38/54.68 (assume @p1781 (= @t1751 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t663))) % 54.38/54.68 (assume @p1782 (forall @t216 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1890 @t2499) @t2498)) @t88))) % 54.38/54.68 (assume @p1783 (forall @t106 (= (tptp.hAPP (tptp.hAPP @t1888 @t2501) @t2500) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t860)))) % 54.38/54.68 (assume @p1784 (forall @t216 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1892 @t2499) @t2498)) @t251))) % 54.38/54.68 (assume @p1785 (forall @t106 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t2501) @t2500) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1024)))) % 54.38/54.68 (assume @p1786 (forall @t530 (=> (not (= @t239 @t2497)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t740 @t2502) @t221)) @t2502))))) % 54.38/54.68 (assume @p1787 (forall (@list @t2503 @t2472 @t2473 @t2186) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t2186 @t2473 @t2472 @t2503) (tptp.c_New__DSequence_Opos__not__seq @t2504)))) % 54.38/54.68 (assume @p1788 (forall @t106 (= @t2208 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2506 @t2505))))) % 54.38/54.68 (assume @p1789 (forall @t106 (= (tptp.hAPP (tptp.hAPP @t2495 @t9) @t58) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t288 @t2506) @t2505))))) % 54.38/54.68 (assume @p1790 (forall @t2512 (and (=> @t2510 (= @t2509 (tptp.c_Lazy__Sequence_Oempty @t17))) (=> @t2511 (= @t2509 (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t67 @t17 @t2508) @t2507)))))) % 54.38/54.68 (assume @p1791 (forall @t1050 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t359) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1045)) @t1619))) % 54.38/54.68 (assume @p1792 (forall @t575 (= (= @t2513 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t176)) @t177))) % 54.38/54.68 (assume @p1793 (forall @t23 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t2501) @t9))) % 54.38/54.68 (assume @p1794 (forall @t530 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t2502) @t239))) % 54.38/54.68 (assume @p1795 (forall @t1263 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t28)) @t28))) % 54.38/54.68 (assume @p1796 (forall @t216 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1890 @t33) @t86)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t2515) @t2514))))) % 54.38/54.68 (assume @p1797 (forall @t530 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t1743 @t239)) (tptp.hAPP @t1091 @t239)))) % 54.38/54.68 (assume @p1798 (forall @t216 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1892 @t33) @t86)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t2515) @t2514))))) % 54.38/54.68 (assume @p1799 (forall @t1037 (= @t2516 (tptp.c_Code__Numeral_Onat__of__aux @t240 @t56)))) % 54.38/54.68 (assume @p1800 (forall @t472 (= @t1879 (tptp.hAPP (tptp.hAPP @t760 @t2516) @t9)))) % 54.38/54.68 (assume @p1801 (forall @t530 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t239) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t2502))))) % 54.38/54.68 (assume @p1802 (forall @t106 (= @t1895 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t740 @t2506) @t2505))))) % 54.38/54.68 (assume @p1803 (forall @t106 (= (tptp.hAPP (tptp.hAPP @t1888 @t9) @t58) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t760 @t2506) @t2505))))) % 54.38/54.68 (assume @p1804 (forall @t106 (= @t2209 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1389 @t2506) @t2505))))) % 54.38/54.68 (assume @p1805 (forall @t2521 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t67 @t17 @t2186 @t2 @t2473 @t2472 @t2503) (tptp.c_New__DSequence_Opos__decr__bind @t67 @t17 @t2504 @t2520)))) % 54.38/54.68 (assume @p1806 (forall (@list @t2522 @t10) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__empty @t10) @t2522) (tptp.c_Lazy__Sequence_Oempty @t10)))) % 54.38/54.68 (assume @p1807 (forall @t2524 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t67 @t17 @t125 @t2) @t31) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t67 @t17 @t2523) @t2507)))) % 54.38/54.68 (assume @p1808 (forall @t2512 (and (=> @t2510 (= @t2528 (tptp.c_Lazy__Sequence_Ohit__bound @t17))) (=> @t2511 (= @t2528 (tptp.c_Lazy__Sequence_Ohb__bind @t67 @t17 @t2508 @t2527)))))) % 54.38/54.68 (assume @p1809 (forall @t1464 (and (=> @t1904 (= @t2529 @t308)) (=> @t1905 (= @t2529 @t1748))))) % 54.38/54.68 (assume @p1810 (forall @t530 (= (tptp.c_Quickcheck_Obeyond @t239 @t1748) @t1748))) % 54.38/54.68 (assume @p1811 (forall (@list @t2503 @t2472 @t2473 @t17) (= (tptp.c_New__Random__Sequence_Opos__empty @t17 @t2473 @t2472 @t2503) (tptp.c_New__DSequence_Opos__empty @t17)))) % 54.38/54.68 (assume @p1812 (forall @t2521 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t67 @t17 @t2186 @t2 @t2473 @t2472 @t2503) (tptp.c_New__DSequence_Oneg__decr__bind @t67 @t17 @t2504 @t2533)))) % 54.38/54.68 (assume @p1813 (forall @t2521 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t67 @t17 @t2186 @t2) @t2473) @t2472) @t2503) (tptp.c_New__DSequence_Opos__bind @t67 @t17 @t2504 @t2520)))) % 54.38/54.68 (assume @p1814 (forall @t2524 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t67 @t17 @t125 @t2) @t31) (tptp.c_Lazy__Sequence_Ohb__bind @t67 @t17 @t2523 @t2527)))) % 54.38/54.68 (assume @p1815 (forall (@list @t176 @t125 @t55 @t17 @t1945 @t67) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t67 @t1945 @t17 @t55) @t125) @t176) (tptp.hAPP @t55 @t2534)))) % 54.38/54.68 (assume @p1816 (forall (@list @t346 @t36 @t67 @t17 @t2) (=> @t2536 @t2535))) % 54.38/54.68 (assume @p1817 (forall @t2185 (=> @t2535 @t2536))) % 54.38/54.68 (assume @p1818 (forall @t2206 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t67 @t1945 @t17 @t2) @t36) @t346) (tptp.hAPP @t2 @t2205)))) % 54.38/54.68 (assume @p1819 (forall @t2176 (= (tptp.hAPP @t2175 (tptp.c_Product__Type_Ocurry @t17 @t67 @t1945 @t2)) @t2))) % 54.38/54.68 (assume @p1820 (forall @t2176 (= (tptp.c_Product__Type_Ocurry @t17 @t67 @t1945 @t2537) @t2))) % 54.38/54.68 (assume @p1821 (forall @t2521 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t67 @t17 @t2186 @t2) @t2473) @t2472) @t2503) (tptp.c_New__DSequence_Oneg__bind @t67 @t17 @t2504 @t2533)))) % 54.38/54.68 (assume @p1822 (forall @t502 (= (tptp.hBOOL (tptp.hAPP @t2540 @t230)) (forall @t7 (=> @t2539 @t2538))))) % 54.38/54.68 (assume @p1823 (forall @t474 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t473) @t470)) (=> (tptp.hBOOL (tptp.hAPP @t1474 @t240)) @t109)))) % 54.38/54.68 (assume @p1824 (forall @t93 (=> @t488 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t372) @t86)) @t670)))) % 54.38/54.68 (assume @p1825 (forall @t93 (=> @t488 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 (tptp.hAPP @t362 @t86)) @t86)) @t670)))) % 54.38/54.68 (assume @p1826 (forall @t1263 (tptp.hBOOL (tptp.hAPP @t2542 @t28)))) % 54.38/54.68 (assume @p1827 (forall @t344 (=> @t496 (tptp.hBOOL (tptp.hAPP @t2544 @t261))))) % 54.38/54.68 (assume @p1828 (forall @t530 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t221) @t239)))) % 54.38/54.68 (assume @p1829 (forall @t2548 (=> @t593 (= (tptp.hBOOL (tptp.hAPP @t2546 (tptp.hAPP @t1527 @t359))) @t2547)))) % 54.38/54.68 (assume @p1830 (forall @t2548 (=> @t593 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2545 (tptp.hAPP @t1527 @t86)) @t359)) @t2547)))) % 54.38/54.68 (assume @p1831 (forall (@list @t239 @t308 @t10) (=> @t280 (=> (= (tptp.hAPP @t1523 @t308) @t1565) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2543 @t308) @t239)))))) % 54.38/54.68 (assume @p1832 (forall @t881 (=> @t2553 (=> @t2552 (=> (tptp.hBOOL (tptp.hAPP @t2551 @t55)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2545 @t2550) (tptp.hAPP (tptp.hAPP @t2549 @t55) @t36))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2545 @t346) @t55)))))))) % 54.38/54.68 (assume @p1833 (forall @t344 (=> @t496 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2543 @t645) @t149))))) % 54.38/54.68 (assume @p1834 (forall @t191 (=> @t2556 (= (tptp.hBOOL (tptp.hAPP @t2554 @t1212)) @t2555)))) % 54.38/54.68 (assume @p1835 (forall @t191 (=> @t2556 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2545 @t1213) @t176)) @t2555)))) % 54.38/54.68 (assume @p1836 (forall (@list @t86 @t33 @t359 @t17) (=> @t2553 (=> (tptp.hBOOL (tptp.hAPP @t2557 @t33)) (= (tptp.hBOOL (tptp.hAPP @t2557 (tptp.c_Divides_Odiv__class_Omod @t17 @t86 @t33))) (tptp.hBOOL (tptp.hAPP @t2557 @t86))))))) % 54.38/54.68 (assume @p1837 (forall @t1128 (=> @t1284 (=> @t2559 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t1410 @t150) @t1414))))) % 54.38/54.68 (assume @p1838 (forall @t2564 (=> @t1284 (=> @t2563 (=> @t2562 @t2561))))) % 54.38/54.68 (assume @p1839 (forall @t2564 (=> @t1284 (=> @t2561 (=> @t2562 @t2563))))) % 54.38/54.68 (assume @p1840 (forall @t344 (=> @t496 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2543 @t261) @t149)) @t356)))) % 54.38/54.68 (assume @p1841 (forall @t30 (=> @t2568 (not (and @t2567 (not @t2565)))))) % 54.38/54.68 (assume @p1842 (forall @t571 (=> @t2568 @t2573))) % 54.38/54.68 (assume @p1843 (forall @t1281 (=> @t2578 (not (and @t2577 (not @t2575)))))) % 54.38/54.68 (assume @p1844 (forall @t571 (=> @t2568 (=> @t2572 @t2571)))) % 54.38/54.68 (assume @p1845 (forall @t1155 (=> @t2578 (=> @t154 @t2581)))) % 54.38/54.68 (assume @p1846 (forall @t30 (=> @t2568 @t184))) % 54.38/54.68 (assume @p1847 (forall @t30 (=> @t2568 @t100))) % 54.38/54.68 (assume @p1848 (forall @t30 (=> @t2568 @t2565))) % 54.38/54.68 (assume @p1849 (forall @t571 (=> @t2565 @t2573))) % 54.38/54.68 (assume @p1850 (forall @t1155 (=> @t170 (=> (and @t2582 (not (tptp.hBOOL (tptp.hAPP @t2579 @t153)))) @t2581)))) % 54.38/54.68 (assume @p1851 (forall @t571 (=> @t2565 (=> @t2572 @t2570)))) % 54.38/54.68 (assume @p1852 (forall @t30 (=> @t2565 (=> @t2567 @t29)))) % 54.38/54.68 (assume @p1853 (forall @t65 (=> @t2584 (=> @t2583 @t103)))) % 54.38/54.68 (assume @p1854 (forall @t1155 (=> @t2575 (=> @t154 @t2580)))) % 54.38/54.68 (assume @p1855 (forall @t1155 (=> @t170 (=> @t2582 @t2580)))) % 54.38/54.68 (assume @p1856 (forall @t1281 (=> @t2575 (=> @t175 @t2578)))) % 54.38/54.68 (assume @p1857 (forall @t30 (=> @t2565 (or @t2568 @t29)))) % 54.38/54.68 (assume @p1858 (forall (@list @t125 @t176) (=> @t2586 (= @t2585 @t177)))) % 54.38/54.68 (assume @p1859 (forall @t30 (=> @t29 @t2565))) % 54.38/54.68 (assume @p1860 (forall @t1281 (=> @t175 (=> @t2575 @t2578)))) % 54.38/54.68 (assume @p1861 (forall @t575 (= @t2587 (and @t2585 @t203)))) % 54.38/54.68 (assume @p1862 (forall @t575 (= @t2585 (or @t2587 @t177)))) % 54.38/54.68 (assume @p1863 (forall @t575 (= @t177 (and @t2585 @t2586)))) % 54.38/54.68 (assume @p1864 (forall @t162 (=> @t496 (=> @t2591 (=> @t2590 @t2588))))) % 54.38/54.68 (assume @p1865 (forall @t344 (=> @t496 (tptp.hBOOL (tptp.hAPP @t2544 @t149))))) % 54.38/54.68 (assume @p1866 (forall @t146 (=> @t823 (=> @t2593 (=> (tptp.hBOOL (tptp.hAPP @t2592 @t134)) (tptp.hBOOL (tptp.hAPP @t2592 @t2314))))))) % 54.38/54.68 (assume @p1867 (forall @t162 (=> @t496 (=> @t2591 (=> @t2588 (tptp.hBOOL (tptp.hAPP @t2544 @t783))))))) % 54.38/54.68 (assume @p1868 (forall (@list @t9 @t27 @t28 @t10) (=> @t496 (=> @t2593 (tptp.hBOOL (tptp.hAPP @t2595 @t2594)))))) % 54.38/54.68 (assume @p1869 (forall @t174 (=> @t496 (tptp.hBOOL (tptp.hAPP @t2544 @t317))))) % 54.38/54.68 (assume @p1870 (forall @t174 (=> @t496 (tptp.hBOOL (tptp.hAPP @t2544 @t393))))) % 54.38/54.68 (assume @p1871 (forall @t162 (=> @t496 (=> @t2591 @t2596)))) % 54.38/54.68 (assume @p1872 (forall @t464 (=> @t496 (=> @t2588 @t2596)))) % 54.38/54.68 (assume @p1873 (forall @t411 (=> @t496 (=> @t2591 (=> (tptp.hBOOL (tptp.hAPP @t2558 @t407)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2543 @t396) @t408))))))) % 54.38/54.68 (assume @p1874 (forall (@list @t239 @t153 @t149 @t10) (=> (tptp.class_Rings_Odvd @t10) (=> (= @t149 (tptp.hAPP @t314 @t239)) (tptp.hBOOL (tptp.hAPP @t2589 @t149)))))) % 54.38/54.68 (assume @p1875 (forall @t162 (=> @t496 (=> @t2597 @t2588)))) % 54.38/54.68 (assume @p1876 (forall @t162 (=> @t496 (=> @t2597 @t2590)))) % 54.38/54.68 (assume @p1877 (forall (@list @t33 @t359) (= (tptp.hBOOL (tptp.hAPP @t2598 @t1216)) (tptp.hBOOL (tptp.hAPP @t2598 @t33))))) % 54.38/54.68 (assume @p1878 (forall @t854 (=> @t2602 (=> @t2601 @t2600)))) % 54.38/54.68 (assume @p1879 (forall @t1742 (= (tptp.hBOOL (tptp.hAPP @t2603 @t663)) @t671))) % 54.38/54.68 (assume @p1880 (forall @t429 (=> @t985 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2545 @t427) @t426)) @t2604)))) % 54.38/54.68 (assume @p1881 (forall @t424 (=> @t985 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2545 @t422) @t421)) @t2604)))) % 54.38/54.68 (assume @p1882 (forall @t352 (=> @t2553 (= @t2552 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t346 @t36) @t268))))) % 54.38/54.68 (assume @p1883 (forall @t174 (=> @t1284 (=> @t2591 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t153 @t149) @t261))))) % 54.38/54.68 (assume @p1884 (forall @t1837 (=> @t1284 (=> (tptp.hBOOL (tptp.hAPP @t2606 @t28)) (=> (tptp.hBOOL (tptp.hAPP @t2606 @t27)) (= (tptp.hAPP (tptp.hAPP @t1283 @t1737) @t134) (tptp.hAPP (tptp.hAPP @t733 (tptp.hAPP @t2605 @t134)) (tptp.hAPP (tptp.hAPP @t1283 @t27) @t134)))))))) % 54.38/54.68 (assume @p1885 (forall @t174 (=> @t1284 (=> @t2591 (= (tptp.hAPP @t316 @t2608) @t153))))) % 54.38/54.68 (assume @p1886 (forall @t1128 (=> @t1284 (=> @t2559 (= (tptp.hAPP @t316 (tptp.hAPP @t2607 @t150)) (tptp.hAPP @t1309 @t150)))))) % 54.38/54.68 (assume @p1887 (forall @t174 (=> @t1284 (=> @t2591 (= (tptp.hAPP @t2609 @t149) @t153))))) % 54.38/54.68 (assume @p1888 (forall @t162 (=> @t1284 (=> @t2591 (= (tptp.hAPP @t2609 @t150) (tptp.hAPP (tptp.hAPP @t1283 @t315) @t149)))))) % 54.38/54.68 (assume @p1889 (forall (@list @t596 @t134 @t28 @t27 @t10) (=> @t1284 (=> @t2611 (=> (tptp.hBOOL (tptp.hAPP @t2606 @t596)) (= (tptp.hAPP (tptp.hAPP @t313 @t2610) (tptp.hAPP (tptp.hAPP @t1283 @t596) @t134)) (tptp.hAPP (tptp.hAPP @t1283 (tptp.hAPP @t493 @t596)) @t1839))))))) % 54.38/54.68 (assume @p1890 (forall @t140 (=> @t1424 (=> @t2611 (= (tptp.hAPP @t2605 @t819) @t2612))))) % 54.38/54.68 (assume @p1891 (forall @t140 (=> @t1424 (=> @t2611 (= (tptp.hAPP (tptp.hAPP @t1283 @t1121) @t27) @t2612))))) % 54.38/54.68 (assume @p1892 (forall (@list @t149 @t9 @t58 @t10) (=> @t496 (=> @t109 (tptp.hBOOL (tptp.hAPP @t2613 @t258)))))) % 54.38/54.68 (assume @p1893 (forall (@list @t58 @t9 @t27 @t28 @t10) (=> @t496 (=> @t2593 (=> @t296 (tptp.hBOOL (tptp.hAPP @t2595 (tptp.hAPP @t507 @t58)))))))) % 54.38/54.68 (assume @p1894 (forall (@list @t58 @t153 @t9 @t149 @t10) (=> @t496 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2543 @t258) @t153)) (=> @t109 (tptp.hBOOL (tptp.hAPP @t2613 @t153))))))) % 54.38/54.68 (assume @p1895 (forall (@list @t9 @t28 @t27 @t10) (=> @t1284 (=> @t2611 (= (tptp.hAPP (tptp.hAPP @t254 @t2610) @t9) (tptp.hAPP (tptp.hAPP @t1283 @t1732) @t2594)))))) % 54.38/54.68 (assume @p1896 (forall @t1742 (= (tptp.hBOOL (tptp.hAPP @t2603 @t221)) @t480))) % 54.38/54.68 (assume @p1897 (forall @t65 (=> @t1152 (=> @t64 (not @t2583))))) % 54.38/54.68 (assume @p1898 (forall @t371 (= @t2615 (or @t360 @t2614)))) % 54.38/54.68 (assume @p1899 (forall @t854 (=> @t2600 (=> @t2601 (=> @t296 @t2602))))) % 54.38/54.68 (assume @p1900 (forall @t854 (=> @t2600 (=> @t2602 (=> @t296 @t2601))))) % 54.38/54.68 (assume @p1901 (forall (@list @t1045 @t111 @t17) (=> (and @t2618 @t2617) (= (exists @t7 (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t349 @t1045) @t3)))) (exists @t7 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2545 @t1045) (tptp.hAPP @t2616 @t268))) @t583)))))) % 54.38/54.68 (assume @p1902 (forall (@list @t2231 @t1225 @t863 @t17) (=> (and (tptp.class_Rings_Ocomm__ring @t17) @t2618) (=> (tptp.hBOOL (tptp.hAPP @t2619 @t1225)) (forall @t2620 (= (tptp.hBOOL (tptp.hAPP @t2619 (tptp.hAPP @t2616 @t2231))) (tptp.hBOOL (tptp.hAPP @t2619 (tptp.hAPP (tptp.hAPP @t836 (tptp.hAPP (tptp.hAPP @t866 @t3) (tptp.hAPP (tptp.hAPP @t349 @t1083) @t1225))) @t2231))))))))) % 54.38/54.68 (assume @p1903 (forall @t191 (=> (and @t2553 @t813) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2545 @t800) @t799)) (= (tptp.c_Divides_Odiv__class_Omod @t17 @t799 @t800) @t268))))) % 54.38/54.68 (assume @p1904 (forall @t881 (=> @t2553 (=> @t1551 (=> @t2552 (= (= @t2550 @t55) (= @t346 @t427))))))) % 54.38/54.68 (assume @p1905 (forall (@list @t863 @t346 @t55 @t36 @t17) (=> @t2553 (=> @t1551 (=> @t1792 (=> @t2552 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2545 @t55) @t863)) (= (= @t2550 (tptp.hAPP (tptp.hAPP @t2549 @t863) @t55)) (= @t421 @t1015))))))))) % 54.38/54.68 (assume @p1906 (forall (@list @t9 @t239) (=> @t2601 (=> @t110 @t917)))) % 54.38/54.68 (assume @p1907 (forall @t854 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t1057) @t1056)) (=> @t482 @t2584)))) % 54.38/54.68 (assume @p1908 (forall @t371 (=> @t483 (= @t2615 @t2614)))) % 54.38/54.68 (assume @p1909 (forall @t502 (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2622 @t2540) (tptp.c_Predicate_OPowp @t17 @t230)))))) % 54.38/54.68 (assume @p1910 (forall @t2623 (=> @t496 (=> (or @t110 (= @t28 @t645)) (tptp.hBOOL (tptp.hAPP @t2592 @t1732)))))) % 54.38/54.68 (assume @p1911 (forall @t2631 (=> @t50 (=> @t2630 (=> @t2587 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t127) @t195))))))) % 54.38/54.68 (assume @p1912 (forall @t2631 (=> @t50 (=> @t2633 (=> @t2585 @t2632))))) % 54.38/54.68 (assume @p1913 (forall @t2636 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t674) @t86)) (and (=> @t631 @t2635) (=> (not @t631) @t220))))) % 54.38/54.68 (assume @p1914 (forall @t706 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t535) @t522)) (tptp.hBOOL (tptp.hAPP @t2603 @t2637))))) % 54.38/54.68 (assume @p1915 (forall @t2636 (= @t2635 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t2637) @t86))))) % 54.38/54.68 (assume @p1916 (forall @t854 (=> (tptp.hBOOL (tptp.hAPP @t2638 (tptp.hAPP @t1487 @t9))) @t2639))) % 54.38/54.68 (assume @p1917 (forall @t2642 (= @t2641 (tptp.hBOOL (tptp.hAPP @t2640 (tptp.hAPP @t729 @t2231)))))) % 54.38/54.68 (assume @p1918 (forall @t2642 (= @t2641 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 (tptp.hAPP @t729 @t863)) @t2231))))) % 54.38/54.68 (assume @p1919 (forall (@list @t9 @t58 @t2643) (=> (tptp.hBOOL (tptp.hAPP @t2644 @t58)) (=> (tptp.hBOOL (tptp.hAPP @t2644 @t9)) (tptp.hBOOL (tptp.hAPP @t2644 @t1486)))))) % 54.38/54.68 (assume @p1920 (forall @t854 (=> (tptp.hBOOL (tptp.hAPP @t2638 @t1486)) @t2639))) % 54.38/54.68 (assume @p1921 (forall @t1281 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t149) @t153)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t153) @t149)) (= (tptp.hAPP @t1514 @t149) (tptp.hAPP @t1514 @t153)))))) % 54.38/54.68 (assume @p1922 (forall @t65 (=> @t1452 (=> (tptp.hBOOL (tptp.hAPP @t528 @t9)) (=> @t2646 (=> @t2645 @t103)))))) % 54.38/54.68 (assume @p1923 (forall @t65 (=> (tptp.hBOOL (tptp.hAPP @t513 @t58)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t58) @t9)) (not @t2645))))) % 54.38/54.68 (assume @p1924 (forall @t854 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 (tptp.hAPP @t515 @t58)) (tptp.hAPP @t515 @t9))) (=> (not (= @t239 @t511)) @t2646)))) % 54.38/54.68 (assume @p1925 (forall (@list @t2231 @t86 @t359) (=> @t2102 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t86) @t2231)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t2647) (tptp.hAPP @t1362 @t2231))))))) % 54.38/54.68 (assume @p1926 (forall (@list @t55 @t2231 @t125 @t863 @t36) (=> (tptp.hBOOL (tptp.hAPP @t2648 @t863)) (= (tptp.hBOOL (tptp.hAPP @t2648 (tptp.hAPP @t1272 @t2231))) (tptp.hBOOL (tptp.hAPP @t2648 (tptp.hAPP (tptp.hAPP @t745 (tptp.hAPP @t1272 (tptp.hAPP (tptp.hAPP @t514 @t55) @t863))) @t2231))))))) % 54.38/54.68 (assume @p1927 (forall (@list @t86 @t33 @t359) (= (tptp.hBOOL (tptp.hAPP @t2649 (tptp.hAPP (tptp.hAPP @t745 @t33) @t2647))) (tptp.hBOOL (tptp.hAPP @t2649 @t33))))) % 54.38/54.68 (assume @p1928 (forall @t575 (= @t2585 @t2650))) % 54.38/54.68 (assume @p1929 (forall @t575 (= @t2650 @t2585))) % 54.38/54.68 (assume @p1930 (forall @t106 (=> @t2645 (= @t1489 @t58)))) % 54.38/54.68 (assume @p1931 (forall @t2651 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t125 @t33) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t176 @t33)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t33) (tptp.hAPP (tptp.hAPP @t829 @t125) @t176)))))) % 54.38/54.68 (assume @p1932 (forall @t1310 (= (tptp.hBOOL (tptp.hAPP @t2652 @t661)) (= @t1598 @t661)))) % 54.38/54.68 (assume @p1933 (forall @t1239 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t27) @t28)) (= (tptp.hAPP @t1514 @t1288) (tptp.hAPP (tptp.hAPP @t1261 @t1580) @t2407))))) % 54.38/54.68 (assume @p1934 (forall @t51 (=> @t50 (=> @t2630 @t2633)))) % 54.38/54.68 (assume @p1935 (forall @t643 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t134) @t9)) (=> (tptp.hBOOL (tptp.hAPP @t513 @t9)) (tptp.hBOOL (tptp.hAPP @t599 @t9)))))) % 54.38/54.68 (assume @p1936 (forall @t575 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t2653) @t2654)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2654 @t2653) @t511)))) % 54.38/54.68 (assume @p1937 (forall (@list @t407 @t240) (=> @t1036 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t407) @t240)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 (tptp.hAPP @t1514 @t407)) @t1576)))))) % 54.38/54.68 (assume @p1938 (forall @t575 (=> @t682 (=> @t681 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t680) @t679)) (tptp.hBOOL (tptp.hAPP @t2652 @t176))))))) % 54.38/54.68 (assume @p1939 (forall @t93 (=> (not (= @t86 @t511)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2634 @t715) @t86)) (= (tptp.hAPP @t1514 @t33) @t661))))) % 54.38/54.68 (assume @p1940 (forall @t51 (=> @t50 (=> (forall @t287 (=> (and @t2655 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t283) @t3)))) (tptp.hBOOL (tptp.hAPP @t1927 @t284)))) @t2630)))) % 54.38/54.68 (assume @p1941 (forall @t51 (=> @t50 (=> (forall @t287 (=> @t2655 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t5) @t284)))) @t2633)))) % 54.38/54.68 (assume @p1942 (forall @t2659 (= (tptp.hAPP @t1673 (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) @t2076) (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 @t2034 tptp.tc_Nat_Onat) @t514) @t509)) @t863))) @t2658)) (tptp.hAPP (tptp.hAPP @t514 @t510) (tptp.hAPP @t2076 (tptp.hAPP @t2076 (tptp.hAPP (tptp.hAPP @t514 (tptp.hAPP @t509 @t2656)) @t863))))))) % 54.38/54.68 (assume @p1943 (forall (@list @t1140 @t407 @t58) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t58 @t407) @t1140) (exists @t1459 (= @t58 (tptp.hAPP (tptp.hAPP @t760 @t1140) (tptp.hAPP (tptp.hAPP @t288 @t1458) @t407))))))) % 54.38/54.68 (assume @p1944 (forall @t2651 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t125 @t33) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t176 @t33)) (exists (@list @t2662 @t2660) (= (tptp.hAPP @t2663 (tptp.hAPP @t362 @t2662)) (tptp.hAPP @t2661 (tptp.hAPP @t362 @t2660))))))) % 54.38/54.68 (assume @p1945 (forall @t2670 (=> @t1529 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.hAPP @t1527 @t2669)) @t2667))))) % 54.38/54.68 (assume @p1946 (forall @t2670 (=> @t1529 (tptp.hBOOL (tptp.hAPP @t383 @t2667))))) % 54.38/54.68 (assume @p1947 (forall @t2670 (=> @t35 (= (tptp.hAPP @t266 (tptp.hAPP (tptp.hAPP @t2672 @t2) @t226)) (tptp.hAPP (tptp.hAPP @t2666 @t2671) @t226))))) % 54.38/54.68 (assume @p1948 (forall @t2679 (=> @t2678 (= @t2677 (tptp.hAPP (tptp.hAPP @t2673 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1945 @t2423 @t17) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1244 (tptp.tc_fun @t2423 @t17) @t1945) @t2666) @t1947)) @t226)) @t230))))) % 54.38/54.68 (assume @p1949 (forall @t2683 (=> @t2678 (= (tptp.hAPP @t2681 @t2682) (tptp.hAPP (tptp.hAPP @t836 (tptp.hAPP @t2681 @t2658)) @t52))))) % 54.38/54.68 (assume @p1950 (forall @t2670 (=> @t2103 (= (tptp.hAPP @t591 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t67 tptp.tc_Int_Oint) @t2) @t226)) (tptp.hAPP (tptp.hAPP @t2666 @t2684) @t226))))) % 54.38/54.68 (assume @p1951 (forall @t191 (=> @t190 (= (= @t2687 @t2686) @t177)))) % 54.38/54.68 (assume @p1952 (forall @t2689 (=> @t2678 (= (tptp.hAPP (tptp.hAPP @t2666 @t2688) @t226) @t268)))) % 54.38/54.68 (assume @p1953 (forall @t2695 (=> @t2678 (= (tptp.hAPP (tptp.hAPP @t2666 @t2694) @t226) (tptp.hAPP (tptp.hAPP @t836 @t2669) @t2691))))) % 54.38/54.68 (assume @p1954 (forall (@list @t230 @t1 @t1945 @t226 @t2 @t67 @t17) (=> @t2617 (= (tptp.hAPP @t2697 (tptp.hAPP (tptp.hAPP @t2673 @t1) @t230)) (tptp.hAPP (tptp.hAPP @t2666 (tptp.hAPP (tptp.hAPP @t2676 (tptp.hAPP @t2675 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 @t1949 @t1949) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2005 (tptp.tc_fun @t1949 @t1949) @t67) (tptp.c_COMBB @t17 @t17 @t1945)) @t2696)) @t1))) @t230)) @t226))))) % 54.38/54.68 (assume @p1955 (forall @t2700 (=> @t2617 (= (tptp.hAPP @t2697 @t1753) (tptp.hAPP (tptp.hAPP @t2666 (tptp.hAPP @t2699 @t1753)) @t226))))) % 54.38/54.68 (assume @p1956 (forall (@list @t226 @t2 @t67 @t1753 @t17) (=> @t2617 (= (tptp.hAPP @t2701 @t2669) (tptp.hAPP (tptp.hAPP @t2666 (tptp.hAPP (tptp.hAPP @t2664 @t2701) @t2)) @t226))))) % 54.38/54.68 (assume @p1957 (forall @t2695 (=> @t869 (= (tptp.hAPP (tptp.hAPP @t2666 @t2702) @t226) (tptp.hAPP (tptp.hAPP @t866 @t2669) @t2691))))) % 54.38/54.68 (assume @p1958 (forall @t2670 (=> @t869 (= (tptp.hAPP (tptp.hAPP @t2666 (tptp.hAPP (tptp.hAPP @t2664 @t839) @t2)) @t226) (tptp.hAPP @t839 @t2669))))) % 54.38/54.68 (assume @p1959 (forall @t2700 (=> @t1800 (= (tptp.hAPP (tptp.hAPP @t1754 @t2669) @t1753) (tptp.hAPP (tptp.hAPP @t2666 (tptp.hAPP (tptp.hAPP @t2698 (tptp.hAPP (tptp.hAPP @t2692 @t1754) @t2)) @t1753)) @t226))))) % 54.38/54.68 (assume @p1960 (forall @t2670 (=> @t1529 (= (tptp.hAPP @t1527 @t2667) @t2667)))) % 54.38/54.68 (assume @p1961 (forall @t191 (=> @t190 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t2687) @t2686)) @t179)))) % 54.38/54.68 (assume @p1962 (forall @t329 (=> @t190 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t559 (tptp.hAPP @t2685 @t86)) (tptp.hAPP @t2685 @t33))) (tptp.hBOOL (tptp.hAPP @t2703 @t33)))))) % 54.38/54.68 (assume @p1963 (forall (@list @t33 @t863 @t36 @t17) (=> @t2708 (= (tptp.hAPP @t2707 (tptp.hAPP (tptp.hAPP @t2680 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t17 tptp.tc_Nat_Onat) @t837) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t17 @t17) (tptp.hAPP (tptp.hAPP @t2705 @t349) @t266)) @t863))) @t2658)) (tptp.hAPP @t2704 (tptp.hAPP @t837 (tptp.hAPP @t837 (tptp.hAPP (tptp.hAPP @t349 (tptp.hAPP @t266 @t2656)) @t863)))))))) % 54.38/54.68 (assume @p1964 (forall @t2659 (= (tptp.hAPP (tptp.hAPP @t288 @t1655) (tptp.hAPP (tptp.hAPP @t2710 (tptp.hAPP (tptp.hAPP @t2017 @t2709) (tptp.hAPP (tptp.hAPP @t2334 @t288) @t863))) @t2658)) (tptp.hAPP @t362 (tptp.hAPP @t2709 (tptp.hAPP @t2709 (tptp.hAPP (tptp.hAPP @t288 @t2656) @t863))))))) % 54.38/54.68 (assume @p1965 (forall @t2716 (=> @t869 (and (=> @t96 (= @t2714 (tptp.hAPP (tptp.hAPP @t866 @t272) (tptp.hAPP @t2 @t2715)))) (=> @t249 (= @t2714 @t268)))))) % 54.38/54.68 (assume @p1966 (forall @t271 (=> @t2708 (= (tptp.hAPP @t2707 (tptp.hAPP (tptp.hAPP @t2680 @t266) @t2717)) (tptp.hAPP @t2704 (tptp.hAPP (tptp.hAPP @t836 @t267) @t651)))))) % 54.38/54.68 (assume @p1967 (forall (@list @t33 @t125 @t17) (=> @t1800 (=> (not @t664) (= (tptp.hAPP (tptp.hAPP @t2680 @t1729) @t2719) (tptp.hAPP (tptp.hAPP @t1754 (tptp.hAPP (tptp.hAPP @t866 (tptp.hAPP @t1729 @t33)) @t651)) (tptp.hAPP (tptp.hAPP @t866 @t125) @t651))))))) % 54.38/54.68 (assume @p1968 (forall (@list @t1882 @t2 @t33 @t86 @t17) (=> @t2678 (=> (tptp.hBOOL (tptp.hAPP @t95 @t2715)) (= (tptp.hAPP @t2681 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t86 @t2720)) (tptp.hAPP @t2722 (tptp.hAPP @t2681 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2715 @t2720)))))))) % 54.38/54.68 (assume @p1969 (forall (@list @t359 @t2) (=> (= @t1614 @t56) (= (tptp.hAPP @t2723 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t221 @t359)) (tptp.hAPP @t2723 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t56 @t359)))))) % 54.38/54.68 (assume @p1970 (forall @t2727 (= (tptp.hAPP @t2726 @t2725) @t2724))) % 54.38/54.68 (assume @p1971 (forall @t870 (=> @t190 (=> @t2731 (=> @t417 (=> @t970 @t2728)))))) % 54.38/54.68 (assume @p1972 (forall @t870 (=> @t190 (=> @t2731 (=> @t417 (=> @t970 @t2732)))))) % 54.38/54.68 (assume @p1973 (forall @t870 (=> @t190 (=> @t417 (=> @t970 (= @t2731 @t2733)))))) % 54.38/54.68 (assume @p1974 (forall @t85 (= @t2719 @t2658))) % 54.38/54.68 (assume @p1975 (forall @t870 (=> @t50 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t2739) @t2738)) (or @t2737 @t2736))))) % 54.38/54.68 (assume @p1976 (forall @t870 (=> @t190 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t2730) @t2729)) (or @t457 @t2736))))) % 54.38/54.68 (assume @p1977 (forall @t2744 (=> @t2678 (= (tptp.hAPP @t2681 (tptp.hAPP @t2743 @t34)) (tptp.hAPP @t2742 @t2741))))) % 54.38/54.68 (assume @p1978 (forall @t2747 (=> @t2678 (= (tptp.hAPP @t2681 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1217) @t1216)) (tptp.hAPP @t2746 @t2741))))) % 54.38/54.68 (assume @p1979 (forall (@list @t86 @t33 @t31 @t17) (=> @t190 (=> (tptp.hBOOL (tptp.hAPP @t2749 @t33)) (= (tptp.hAPP (tptp.hAPP @t1221 (tptp.hAPP @t2748 @t86)) (tptp.hAPP @t2748 @t33)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t17 @t33) @t86)))))) % 54.38/54.68 (assume @p1980 (forall @t2744 (=> @t2678 (= (tptp.hAPP @t2681 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t208 @t34)) (tptp.hAPP @t2742 @t2711))))) % 54.38/54.68 (assume @p1981 (forall @t2747 (=> @t2678 (= (tptp.hAPP @t2681 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1217 @t1216)) (tptp.hAPP @t2746 @t2711))))) % 54.38/54.68 (assume @p1982 (forall @t2756 (= (tptp.hAPP @t509 @t2755) @t2752))) % 54.38/54.68 (assume @p1983 (forall @t2762 (=> @t2678 (=> @t96 (=> @t2761 (= (tptp.hAPP @t2760 @t2758) @t2757)))))) % 54.38/54.68 (assume @p1984 (forall @t2762 (=> @t869 (=> @t96 (=> @t2761 (= (tptp.hAPP (tptp.hAPP @t866 @t2757) @t2759) @t2758)))))) % 54.38/54.68 (assume @p1985 (forall @t2756 (= @t2755 (tptp.hAPP tptp.c_Int_Onat @t2752)))) % 54.38/54.68 (assume @p1986 (forall @t870 (=> @t50 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t559 @t2739) @t2738)) (and (or @t2737 (and @t2735 @t2734 (or (tptp.hBOOL (tptp.hAPP @t414 @t36)) (tptp.hBOOL (tptp.hAPP @t412 @t863))))) @t967))))) % 54.38/54.68 (assume @p1987 (forall (@list @t359 @t2 @t17) (=> @t2678 (=> (= @t1614 @t268) (= (tptp.hAPP @t2681 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t221) @t359)) (tptp.hAPP @t2681 (tptp.hAPP @t2718 @t359))))))) % 54.38/54.68 (assume @p1988 (forall @t2716 (=> @t2678 (=> @t90 (= @t2759 (tptp.hAPP @t2763 (tptp.hAPP @t2681 (tptp.hAPP @t2743 @t33)))))))) % 54.38/54.68 (assume @p1989 (forall @t2716 (=> @t2678 (=> @t96 (= @t2721 (tptp.hAPP @t2763 (tptp.hAPP @t2681 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t208 @t33)))))))) % 54.38/54.68 (assume @p1990 (forall @t2766 (=> @t2678 (and (=> @t88 (= @t2765 @t268)) (=> @t237 (= @t2765 (tptp.hAPP @t2760 @t52))))))) % 54.38/54.68 (assume @p1991 (forall @t2766 (=> @t2678 (and (=> @t2769 (= @t2768 @t268)) (=> (not @t2769) (= @t2768 (tptp.hAPP @t2722 @t54))))))) % 54.38/54.68 (assume @p1992 (forall @t2776 (= (forall @t225 (=> @t2775 @t2774)) (forall @t7 (=> @t2773 @t583))))) % 54.38/54.68 (assume @p1993 (forall @t2776 (= (exists @t225 (and @t2775 @t2774)) (exists @t7 (and @t2773 @t583))))) % 54.38/54.68 (assume @p1994 (forall @t2776 (= (forall @t225 (=> @t2778 @t2774)) (forall @t7 (=> @t2777 @t583))))) % 54.38/54.68 (assume @p1995 (forall @t2776 (= (exists @t225 (and @t2778 @t2774)) (exists @t7 (and @t2777 @t583))))) % 54.38/54.68 (assume @p1996 (forall (@list @t33 @t111 @t2260) (=> (forall @t7 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t2779) @t582))) (= (tptp.hAPP (tptp.hAPP @t740 (tptp.hAPP (tptp.hAPP @t2710 @t111) @t2658)) (tptp.hAPP (tptp.hAPP @t2710 @t2260) @t2658)) (tptp.hAPP (tptp.hAPP @t2710 (tptp.hAPP (tptp.hAPP @t1956 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1919 tptp.tc_Nat_Onat) @t740) @t111)) @t2260)) @t2658))))) % 54.38/54.68 (assume @p1997 (forall @t2727 (= (tptp.hAPP @t2781 (tptp.hAPP (tptp.hAPP @t745 @t952) @t661)) @t2780))) % 54.38/54.68 (assume @p1998 (forall @t2796 (=> @t2795 (forall @t7 (=> @t2794 (=> @t2784 (tptp.hBOOL (tptp.hAPP @t2783 @t2782)))))))) % 54.38/54.68 (assume @p1999 (forall @t2800 (=> @t2795 (forall @t7 (=> @t2799 (=> @t2798 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t2797) @t2231)))))))) % 54.38/54.68 (assume @p2000 (forall (@list @t111 @t863) (=> @t1396 (=> (forall @t2620 (= @t583 (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t1392 (tptp.hAPP (tptp.hAPP @t514 @t1083) @t863)))))) (= @t688 (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t2801 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t661 @t863))) @t583))))))) % 54.38/54.68 (assume @p2001 (forall @t2800 (=> @t2795 (forall @t7 (=> @t2799 (=> @t2802 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t2797) @t2231)))))))) % 54.38/54.68 (assume @p2002 (forall @t2796 (=> @t2795 (forall @t7 (=> @t2794 (=> @t2804 (tptp.hBOOL (tptp.hAPP @t2803 @t2782)))))))) % 54.38/54.68 (assume @p2003 (forall @t2808 (=> @t2807 (forall @t7 (=> @t2799 (=> @t2806 @t2805)))))) % 54.38/54.68 (assume @p2004 (forall @t2810 (=> @t2807 (forall @t7 (=> @t2794 (=> @t2806 @t2809)))))) % 54.38/54.68 (assume @p2005 (forall @t2808 (=> @t2807 (forall @t7 (=> @t2799 (=> @t2811 (not @t2805))))))) % 54.38/54.68 (assume @p2006 (forall @t2810 (=> @t2807 (forall @t7 (=> @t2794 (=> @t2811 (not @t2809))))))) % 54.38/54.68 (assume @p2007 (forall @t2816 (=> (tptp.hBOOL (tptp.hAPP @t528 @t952)) (= @t2815 (tptp.hAPP @t2813 (tptp.hAPP @t2657 @t2812)))))) % 54.38/54.68 (assume @p2008 (forall @t2823 (=> @t234 @t2822))) % 54.38/54.68 (assume @p2009 (forall (@list @t226 @t2 @t67 @t230 @t17) (= @t2827 (exists (@list @t2824) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 @t2824) @t226)) (= @t230 (tptp.hAPP @t2825 @t2824))))))) % 54.38/54.68 (assume @p2010 (forall @t2833 (= (tptp.hBOOL (tptp.hAPP @t2832 @t230)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2830 @t2829) @t2828))))) % 54.38/54.68 (assume @p2011 (forall @t2833 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2835 @t226) @t230)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2834 @t2829) @t2828))))) % 54.38/54.68 (assume @p2012 (forall @t2833 (= @t499 (= @t2829 @t2828)))) % 54.38/54.68 (assume @p2013 (forall (@list @t226 @t1 @t1945 @t2 @t17 @t67) (= (tptp.hAPP @t2825 (tptp.hAPP @t2837 @t226)) (tptp.hAPP (tptp.c_Set_Oimage @t1945 @t17 (tptp.hAPP (tptp.hAPP @t2836 @t2) @t1)) @t226)))) % 54.38/54.68 (assume @p2014 (forall @t2842 (= (tptp.hAPP (tptp.hAPP @t1938 @t2841) @t230) (tptp.hAPP @t2840 @t2838)))) % 54.38/54.68 (assume @p2015 (forall @t2846 (= (tptp.hAPP @t2845 @t2844) (tptp.hAPP (tptp.hAPP @t2839 @t2843) @t230)))) % 54.38/54.68 (assume @p2016 (forall @t2851 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP (tptp.hAPP @t1221 @t2826) @t2850)) (tptp.hAPP @t2825 @t2849))))) % 54.38/54.68 (assume @p2017 (forall @t191 (=> @t968 (= (tptp.hAPP @t2852 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t125 @t176)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t1212 @t1213))))) % 54.38/54.68 (assume @p2018 (forall @t2756 (=> @t2855 (= (tptp.hAPP @t2681 @t226) (tptp.hAPP (tptp.hAPP @t2853 @t2003) @t2829))))) % 54.38/54.68 (assume @p2019 (forall @t93 (=> (tptp.c_Nat__Transfer_Ois__nat @t86) (=> (tptp.c_Nat__Transfer_Ois__nat @t33) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t86 @t33) (tptp.hAPP @t2813 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t86) (tptp.hAPP tptp.c_Int_Onat @t33)))))))) % 54.38/54.68 (assume @p2020 (forall (@list @t111 @t33 @t86 @t17) (=> @t2678 (=> @t96 (= (tptp.hAPP @t2856 @t2711) (tptp.hAPP (tptp.hAPP @t836 (tptp.hAPP @t111 @t86)) (tptp.hAPP @t2856 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t86 @t33)))))))) % 54.38/54.68 (assume @p2021 (forall (@list @t33 @t226 @t2 @t17) (=> (= @t2755 @t34) (exists @t7 (and @t2422 @t2857))))) % 54.38/54.68 (assume @p2022 (forall (@list @t1 @t2 @t863 @t346 @t55 @t36 @t17 @t67) (=> (and @t2861 @t2325) (=> @t2732 (=> @t2728 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t936 @t3)) (=> (tptp.hBOOL (tptp.hAPP @t286 @t863)) @t6))) (= (tptp.hAPP @t2860 @t2730) (tptp.hAPP @t2859 @t2729)))))))) % 54.38/54.68 (assume @p2023 (forall @t2727 (= (tptp.hAPP @t2864 @t2780) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t745 @t2863) @t661))))) % 54.38/54.68 (assume @p2024 (forall @t282 (=> @t968 (= (tptp.hAPP @t2852 @t2866) (tptp.hAPP @t2685 @t1213))))) % 54.38/54.68 (assume @p2025 (forall @t191 (=> @t190 (= (= @t2866 @t2867) @t177)))) % 54.38/54.68 (assume @p2026 (forall @t2873 (= (tptp.hAPP @t2872 @t2871) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2869) @t2868)))) % 54.38/54.68 (assume @p2027 (forall @t2873 (= (tptp.hAPP @t2872 @t2874) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2869 @t2868)))) % 54.38/54.68 (assume @p2028 (forall @t2878 (= (tptp.hAPP @t2877 @t2871) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t762) @t2876)))) % 54.38/54.68 (assume @p2029 (forall @t2878 (= (tptp.hAPP @t2877 @t2874) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t762 @t2876)))) % 54.38/54.68 (assume @p2030 (forall @t558 (= @t2881 (tptp.hAPP (tptp.hAPP @t2753 @t2879) @t226)))) % 54.38/54.68 (assume @p2031 (forall @t2727 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2883 @t952) @t2882))) % 54.38/54.68 (assume @p2032 (forall @t2885 (= (tptp.hAPP @t2884 @t2829) @t226))) % 54.38/54.68 (assume @p2033 (forall @t191 (=> @t190 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t2866) @t2867)) @t182)))) % 54.38/54.68 (assume @p2034 (forall (@list @t226 @t176 @t67 @t17) (=> @t35 (= (tptp.hAPP (tptp.hAPP @t2666 (tptp.hAPP @t2246 @t176)) @t226) (tptp.hAPP (tptp.hAPP @t349 (tptp.hAPP @t266 @t2887)) @t176))))) % 54.38/54.68 (assume @p2035 (forall @t2816 (= (tptp.hAPP @t2864 @t2815) @t2812))) % 54.38/54.68 (assume @p2036 (forall @t2727 (= (tptp.hAPP @t2864 @t2889) @t2888))) % 54.38/54.68 (assume @p2037 (forall @t93 (= @t2711 (tptp.hAPP @t2884 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t535 @t510))))) % 54.38/54.68 (assume @p2038 (forall @t191 (=> @t968 (= (tptp.hAPP @t2852 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t17 @t125) @t176)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t17 @t1212 @t1213))))) % 54.38/54.68 (assume @p2039 (forall @t191 (=> @t968 (= (tptp.hAPP @t2852 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t17 @t125 @t176)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t17 @t1212) @t1213))))) % 54.38/54.68 (assume @p2040 (forall @t2727 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2060 @t745) @t1045)) (tptp.hAPP @t2814 @t2863)) @t2889))) % 54.38/54.68 (assume @p2041 (forall @t282 (=> @t968 (= (tptp.hAPP @t2852 @t2687) (tptp.hAPP @t2865 @t1213))))) % 54.38/54.68 (assume @p2042 (forall @t2727 (= (tptp.hAPP @t2864 @t2891) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2862 @t2890))))) % 54.38/54.68 (assume @p2043 (forall @t2897 (=> @t2855 (=> @t2896 (= @t2895 (tptp.hAPP (tptp.hAPP @t2680 @t2893) @t2892)))))) % 54.38/54.68 (assume @p2044 (forall @t2833 (=> @t2896 (=> @t2899 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2834 @t226) @t230)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2835 @t2892) @t2898))))))) % 54.38/54.68 (assume @p2045 (forall @t2833 (=> @t2896 (=> @t2899 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2830 @t226) @t230)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2831 @t2892) @t2898))))))) % 54.38/54.68 (assume @p2046 (forall @t85 (= @t2901 (tptp.hAPP @t2884 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t511 @t510))))) % 54.38/54.68 (assume @p2047 (forall @t2816 (= (tptp.hAPP @t2902 (tptp.hAPP @t2900 @t952)) @t2725))) % 54.38/54.68 (assume @p2048 (forall @t191 (=> @t190 (= (= @t2905 @t2904) @t177)))) % 54.38/54.68 (assume @p2049 (forall @t2816 (= (tptp.hAPP @t2902 (tptp.hAPP @t2657 @t952)) @t952))) % 54.38/54.68 (assume @p2050 (forall @t2885 (=> @t2896 (= (tptp.hAPP @t2864 @t226) (tptp.hAPP @t2902 @t2892))))) % 54.38/54.68 (assume @p2051 (forall @t2833 (=> @t2896 (=> @t2899 (= @t499 (= @t2892 @t2898)))))) % 54.38/54.68 (assume @p2052 (forall @t2727 (= (tptp.hAPP @t2902 @t2908) @t2907))) % 54.38/54.68 (assume @p2053 (forall @t2727 (= (tptp.hAPP @t2902 @t2882) @t2907))) % 54.38/54.68 (assume @p2054 (forall (@list @t2909) (= (tptp.c_Nat__Transfer_Onat__set @t2909) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2801 @t2909)) @t584))))) % 54.38/54.68 (assume @p2055 (forall @t85 (= @t2770 @t2901))) % 54.38/54.68 (assume @p2056 (forall @t1636 (= @t2911 @t2910))) % 54.38/54.68 (assume @p2057 (forall @t191 (=> @t968 (= (tptp.hAPP @t2852 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t17 @t125 @t176)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t17 @t1212 @t1213))))) % 54.38/54.68 (assume @p2058 (forall (@list @t563) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t2813 @t563)))) % 54.38/54.68 (assume @p2059 (forall @t191 (=> @t50 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t2905) @t2904)) @t179)))) % 54.38/54.68 (assume @p2060 (forall @t575 (=> @t1830 @t2912))) % 54.38/54.68 (assume @p2061 (forall @t2727 (= (tptp.hAPP @t2902 @t2724) (tptp.hAPP (tptp.hAPP @t740 @t2725) @t1045)))) % 54.38/54.68 (assume @p2062 (forall @t2104 (=> @t190 (= (tptp.hAPP @t1218 @t2914) @t2913)))) % 54.38/54.68 (assume @p2063 (forall @t2104 (=> @t190 (= (tptp.hAPP @t1218 @t2913) @t2914)))) % 54.38/54.68 (assume @p2064 (forall @t2885 (= @t2915 (tptp.hAPP @t2864 @t2829)))) % 54.38/54.68 (assume @p2065 (forall (@list @t359 @t226) (=> (tptp.hBOOL (tptp.hAPP @t2832 @t2916)) (= @t226 @t2916)))) % 54.38/54.68 (assume @p2066 (forall @t575 (=> @t682 @t2912))) % 54.38/54.68 (assume @p2067 (forall @t2727 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2890 @t952) @t2917))) % 54.38/54.68 (assume @p2068 (forall @t2885 (=> @t2896 (= (tptp.hAPP @t2813 @t2892) @t226)))) % 54.38/54.68 (assume @p2069 (forall @t2683 (=> @t2678 (= (tptp.hAPP @t2681 (tptp.hAPP @t2900 @t34)) (tptp.hAPP (tptp.hAPP @t836 (tptp.hAPP @t2681 @t2901)) @t54))))) % 54.38/54.68 (assume @p2070 (forall @t2727 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t2890) @t952) @t2891))) % 54.38/54.68 (assume @p2071 (forall @t2727 (= (tptp.hAPP @t2864 @t2917) @t2888))) % 54.38/54.68 (assume @p2072 (forall @t2919 (=> @t2855 (=> @t499 (=> @t2899 (=> @t2918 (= @t2895 (tptp.hAPP (tptp.hAPP @t2853 @t1) @t230)))))))) % 54.38/54.68 (assume @p2073 (forall @t2928 (=> @t190 (=> @t2927 (=> @t2925 (= (tptp.hAPP @t2924 @t2921) @t2920)))))) % 54.38/54.68 (assume @p2074 (forall @t2928 (=> @t190 (=> @t2936 (=> @t2934 (= (tptp.hAPP @t2933 @t2931) @t2930)))))) % 54.38/54.68 (assume @p2075 (forall @t2946 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2835 @t2945) @t2944)) (and (or @t2943 (and @t2941 @t2939 (or (and @t2941 (not (tptp.hBOOL (tptp.hAPP @t2940 @t55)))) (and @t2939 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2541 @t863) @t346))))))) (tptp.hBOOL (tptp.hAPP @t2937 @t863)))))) % 54.38/54.68 (assume @p2076 (forall @t2117 (=> (tptp.hBOOL (tptp.hAPP @t2948 @t2116)) (=> (forall @t1404 (=> (tptp.hBOOL (tptp.hAPP @t2948 (tptp.hAPP (tptp.hAPP @t1913 @t1264) @t217))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t1264) @t217)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 @t2947) @t217))) @t1403))) @t2107)))) % 54.38/54.68 (assume @p2077 (forall @t2954 (=> @t2953 (=> (not @t2950) @t2949)))) % 54.38/54.68 (assume @p2078 (forall (@list @t17 @t226 @t125 @t230) (=> (=> @t2955 @t2950) @t2953))) % 54.38/54.68 (assume @p2079 (forall @t2959 (= (tptp.hAPP @t2825 @t2958) (tptp.hAPP (tptp.hAPP @t2923 @t2826) @t2850)))) % 54.38/54.68 (assume @p2080 (forall @t566 (= (tptp.hAPP (tptp.hAPP @t1221 @t2952) @t563) (tptp.hAPP (tptp.hAPP @t2923 @t2961) @t2960)))) % 54.38/54.68 (assume @p2081 (forall @t2965 (= (tptp.hAPP (tptp.hAPP @t2923 @t2964) @t226) @t2963))) % 54.38/54.68 (assume @p2082 (forall @t502 (= @t2966 @t2952))) % 54.38/54.68 (assume @p2083 (forall @t45 (=> (and @t2968 @t190) (= @t2967 @t2357)))) % 54.38/54.68 (assume @p2084 (forall @t558 (= (tptp.hAPP @t2951 @t226) @t226))) % 54.38/54.68 (assume @p2085 (forall @t502 (= @t2952 @t2963))) % 54.38/54.68 (assume @p2086 (forall @t502 (= (tptp.hAPP @t2951 @t2952) @t2952))) % 54.38/54.68 (assume @p2087 (forall @t566 (= @t2971 (tptp.hAPP @t2962 @t2969)))) % 54.38/54.68 (assume @p2088 (forall @t566 (= (tptp.hAPP (tptp.hAPP @t2923 @t2952) @t563) @t2971))) % 54.38/54.68 (assume @p2089 (forall @t2973 (= (exists @t7 (and @t2972 @t583)) (or (exists @t7 (and @t2422 @t583)) (exists @t7 (and @t2539 @t583)))))) % 54.38/54.68 (assume @p2090 (forall @t2973 (= (forall @t7 (=> @t2972 @t583)) (and (forall @t7 (=> @t2422 @t583)) (forall @t7 (=> @t2539 @t583)))))) % 54.38/54.68 (assume @p2091 (forall @t344 (=> @t2976 (= (tptp.hAPP @t2975 @t149) @t149)))) % 54.38/54.68 (assume @p2092 (forall @t78 (=> @t2976 @t2978))) % 54.38/54.68 (assume @p2093 (forall @t174 (=> @t2976 (= @t2980 (tptp.hAPP @t2979 @t149))))) % 54.38/54.68 (assume @p2094 (forall @t121 (=> @t2985 @t2984))) % 54.38/54.68 (assume @p2095 (forall @t121 (=> @t2976 @t2984))) % 54.38/54.68 (assume @p2096 (forall @t174 (=> @t2976 (= (tptp.hAPP @t2975 @t2980) @t2980)))) % 54.38/54.68 (assume @p2097 (forall @t121 (=> @t2985 @t2986))) % 54.38/54.68 (assume @p2098 (forall @t121 (=> @t2976 @t2986))) % 54.38/54.68 (assume @p2099 (forall @t157 (=> @t2976 (= (tptp.hAPP @t2979 (tptp.hAPP @t2975 @t150)) @t2987)))) % 54.38/54.68 (assume @p2100 (forall @t146 (=> @t2985 @t2991))) % 54.38/54.68 (assume @p2101 (forall @t146 (=> @t2976 @t2991))) % 54.38/54.68 (assume @p2102 (forall @t162 (=> @t2976 (= (tptp.hAPP (tptp.hAPP @t2974 @t2980) @t150) @t2987)))) % 54.38/54.68 (assume @p2103 (forall @t146 (=> @t2985 @t2992))) % 54.38/54.68 (assume @p2104 (forall @t146 (=> @t2976 @t2992))) % 54.38/54.68 (assume @p2105 (forall @t2994 (=> @t2993 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1244) @t2) @t1) @t125) (tptp.hAPP (tptp.hAPP @t2967 @t127) @t126))))) % 54.38/54.68 (assume @p2106 (forall @t78 (=> @t2985 @t2978))) % 54.38/54.68 (assume @p2107 (forall (@list @t230 @t17 @t125 @t226) (=> @t2950 @t2953))) % 54.38/54.68 (assume @p2108 (forall (@list @t226 @t17 @t125 @t230) (=> @t2949 @t2953))) % 54.38/54.68 (assume @p2109 (forall @t2363 (=> @t2976 (=> @t2996 @t2360)))) % 54.38/54.68 (assume @p2110 (forall @t1552 (=> @t2976 (=> @t159 (=> @t2301 (tptp.hBOOL (tptp.hAPP @t2995 (tptp.hAPP (tptp.hAPP @t2974 @t150) @t407)))))))) % 54.38/54.68 (assume @p2111 (forall @t139 (=> @t2976 (=> @t123 (=> @t136 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t2989) @t28))))))) % 54.38/54.68 (assume @p2112 (forall @t2295 (=> @t2976 (=> @t2294 (=> @t2296 @t2996))))) % 54.38/54.68 (assume @p2113 (forall @t140 (=> @t2976 (=> @t123 (= @t2983 @t28))))) % 54.38/54.68 (assume @p2114 (forall @t121 (=> @t2976 (=> @t124 (= @t2983 @t27))))) % 54.38/54.68 (assume @p2115 (forall @t2365 (=> @t2976 (=> @t2299 @t2997)))) % 54.38/54.68 (assume @p2116 (forall @t2300 (=> @t2976 (=> @t1178 @t2997)))) % 54.38/54.68 (assume @p2117 (forall @t2291 (=> @t2968 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t2999) @t522)) @t2366)))) % 54.38/54.68 (assume @p2118 (forall @t191 (=> @t2968 (= @t179 (= @t2999 @t176))))) % 54.38/54.68 (assume @p2119 (forall @t140 (=> @t2976 @t3000))) % 54.38/54.68 (assume @p2120 (forall @t140 (=> @t2985 @t3000))) % 54.38/54.68 (assume @p2121 (forall @t121 (=> @t2976 @t3001))) % 54.38/54.68 (assume @p2122 (forall @t121 (=> @t2985 @t3001))) % 54.38/54.68 (assume @p2123 (forall @t502 (tptp.hBOOL (tptp.hAPP @t233 @t2952)))) % 54.38/54.68 (assume @p2124 (forall @t2965 (tptp.hBOOL (tptp.hAPP @t500 @t2952)))) % 54.38/54.68 (assume @p2125 (forall @t502 (= @t234 @t3002))) % 54.38/54.68 (assume @p2126 (forall @t502 (=> @t234 @t3002))) % 54.38/54.68 (assume @p2127 (forall @t2965 (=> @t501 (= @t2952 @t226)))) % 54.38/54.68 (assume @p2128 (forall @t3004 (=> @t568 (=> @t565 (tptp.hBOOL (tptp.hAPP @t3003 @t563)))))) % 54.38/54.68 (assume @p2129 (forall @t3007 (=> @t568 (=> @t3006 (tptp.hBOOL (tptp.hAPP @t3003 (tptp.hAPP @t3005 @t1225))))))) % 54.38/54.68 (assume @p2130 (forall @t2851 (=> @t3010 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 (tptp.hAPP (tptp.hAPP @t2956 @t3009) @t3008)) (tptp.hAPP @t2 @t2952)))))) % 54.38/54.68 (assume @p2131 (forall @t2300 (=> @t2976 (=> @t738 @t3011)))) % 54.38/54.68 (assume @p2132 (forall @t2365 (=> @t2976 (=> @t2368 @t3011)))) % 54.38/54.68 (assume @p2133 (forall @t2833 (=> @t2896 (=> @t2899 (tptp.c_Nat__Transfer_Onat__set @t3013))))) % 54.38/54.68 (assume @p2134 (forall @t3019 (= @t3018 @t3016))) % 54.38/54.68 (assume @p2135 (forall @t3019 (= @t3025 @t3020))) % 54.38/54.68 (assume @p2136 (forall @t3026 (= @t3016 @t3018))) % 54.38/54.68 (assume @p2137 (forall @t1941 (= (tptp.hAPP @t2962 @t1940) (tptp.hAPP @t1939 (tptp.hAPP (tptp.hAPP @t3017 @t2962) @t226))))) % 54.38/54.68 (assume @p2138 (forall @t3027 (= @t3020 @t3025))) % 54.38/54.68 (assume @p2139 (forall @t3035 (= (tptp.hAPP (tptp.hAPP @t2923 @t1940) (tptp.hAPP @t3033 @t230)) (tptp.hAPP @t1939 (tptp.hAPP (tptp.hAPP @t3034 @t3033) (tptp.hAPP (tptp.hAPP @t3031 (tptp.hAPP @t3030 @t3023)) @t230)))))) % 54.38/54.68 (assume @p2140 (forall @t2959 (=> (and @t3038 @t2968) (=> @t68 (tptp.hBOOL (tptp.hAPP @t3037 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2967 @t226) @t230)))))))) % 54.38/54.68 (assume @p2141 (forall @t2928 (=> @t190 (=> @t2936 (=> @t2925 (= (tptp.hAPP @t3041 @t3039) @t2930)))))) % 54.38/54.68 (assume @p2142 (forall @t502 (=> @t234 (= @t2966 @t230)))) % 54.38/54.68 (assume @p2143 (forall @t566 (= (tptp.hBOOL (tptp.hAPP @t1224 @t563)) (tptp.hBOOL (tptp.hAPP @t233 @t2970))))) % 54.38/54.68 (assume @p2144 (forall @t2833 (= (tptp.hAPP (tptp.hAPP @t3042 @t226) @t230) (tptp.hAPP @t2884 (tptp.hAPP (tptp.hAPP @t3012 @t2829) @t2828))))) % 54.38/54.68 (assume @p2145 (forall @t2928 (=> @t190 (=> @t2936 (=> @t2925 (= (tptp.hAPP @t3045 @t3043) @t2920)))))) % 54.38/54.68 (assume @p2146 (forall @t502 (= (tptp.hAPP @t1218 @t1223) (tptp.hAPP @t3046 @t230)))) % 54.38/54.68 (assume @p2147 (forall @t2833 (=> @t2896 (=> @t2899 (= @t3013 (tptp.hAPP @t2813 (tptp.hAPP (tptp.hAPP @t3042 @t2892) @t2898))))))) % 54.38/54.68 (assume @p2148 (forall @t2727 (= (tptp.hAPP @t2902 @t3047) (tptp.hAPP @t2906 @t2883)))) % 54.38/54.68 (assume @p2149 (forall @t2727 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2883) @t952) @t3047))) % 54.38/54.68 (assume @p2150 (forall @t2959 (=> (and @t3038 @t190) (=> @t68 (tptp.hBOOL (tptp.hAPP @t3037 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2357 @t226) @t230)))))))) % 54.38/54.68 (assume @p2151 (forall @t2928 (=> @t190 (=> @t2936 (=> @t2925 (= (tptp.hAPP @t3041 @t2921) @t3048)))))) % 54.38/54.68 (assume @p2152 (forall @t766 (=> @t926 (= (tptp.hAPP @t2870 @t2876) (tptp.hAPP (tptp.hAPP @t3042 @t2871) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t759) @t2876)))))) % 54.38/54.68 (assume @p2153 (forall @t3053 (=> @t190 (=> @t3052 (= (tptp.hAPP @t3051 @t2930) @t3049))))) % 54.38/54.68 (assume @p2154 (forall @t2928 (=> @t190 (=> @t2936 (=> @t2925 (= (tptp.hAPP @t2933 @t3043) @t3048)))))) % 54.38/54.68 (assume @p2155 (forall @t3053 (=> @t190 (=> @t3052 (= (tptp.hAPP @t3056 @t2920) @t3054))))) % 54.38/54.68 (assume @p2156 (forall @t3053 (=> @t190 (=> @t3052 (= (tptp.hAPP (tptp.hAPP @t2923 @t2920) @t3058) @t3057))))) % 54.38/54.68 (assume @p2157 (forall @t2928 (=> @t190 (=> @t2927 (=> @t2925 (= (tptp.hAPP @t2924 @t3039) @t3059)))))) % 54.38/54.68 (assume @p2158 (forall @t2928 (=> @t190 (=> @t2936 (=> @t2934 (= (tptp.hAPP @t3045 @t2931) @t3059)))))) % 54.38/54.68 (assume @p2159 (forall @t3053 (=> @t190 (=> @t3052 (= (tptp.hAPP @t3051 @t3048) @t3054))))) % 54.38/54.68 (assume @p2160 (forall @t3053 (=> @t190 (=> @t3060 (= (tptp.hAPP @t3056 @t3059) @t3049))))) % 54.38/54.68 (assume @p2161 (forall @t2946 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2831 @t2945) @t2944)) (or @t2943 (and @t2941 @t2939))))) % 54.38/54.68 (assume @p2162 (forall @t3053 (=> @t190 (=> @t3060 (= (tptp.hAPP @t3063 @t3062) @t3057))))) % 54.38/54.68 (assume @p2163 (forall @t3053 (=> @t190 (=> @t3052 (= (tptp.hAPP (tptp.hAPP @t2923 @t3048) @t3058) @t3064))))) % 54.38/54.68 (assume @p2164 (forall (@list @t1942 @t33 @t17) (= (tptp.hAPP @t3066 @t1942) (tptp.hAPP (tptp.hAPP @t2923 (tptp.hAPP (tptp.hAPP @t3065 @t2717) @t1942)) (tptp.hAPP @t1942 @t56))))) % 54.38/54.68 (assume @p2165 (forall (@list @t230 @t3067 @t2 @t67 @t17) (=> @t50 (=> (tptp.c_Orderings_Oorder__class_Omono @t17 @t2423 @t2) (tptp.c_Orderings_Oorder__class_Omono @t17 @t2423 (tptp.hAPP (tptp.hAPP @t2485 (tptp.hAPP @t3069 (tptp.hAPP (tptp.hAPP @t2485 (tptp.hAPP @t3069 @t2)) @t3067))) @t230)))))) % 54.38/54.68 (assume @p2166 (forall @t3071 (= (tptp.hAPP (tptp.c_Set_Oimage @t17 @t17 @t1961) @t3070) @t3070))) % 54.38/54.68 (assume @p2167 (forall @t2428 (= @t3075 (exists @t7 (and @t2422 @t2419))))) % 54.38/54.68 (assume @p2168 (forall @t1950 (=> @t1933 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t67 @t1949) @t226) @t2) @t125) (tptp.hAPP @t3077 @t1948))))) % 54.38/54.68 (assume @p2169 (forall @t3085 (= (tptp.hAPP (tptp.hAPP @t3078 @t3084) @t563) (tptp.hAPP @t3083 (tptp.hAPP (tptp.hAPP @t3081 (tptp.hAPP (tptp.hAPP @t3080 @t3078) @t230)) @t563))))) % 54.38/54.68 (assume @p2170 (forall @t3091 (= (tptp.hAPP @t3090 (tptp.hAPP (tptp.hAPP @t3089 (tptp.hAPP (tptp.hAPP @t3088 @t3082) @t230)) @t563)) (tptp.hAPP (tptp.hAPP @t3082 @t3087) @t563)))) % 54.38/54.68 (assume @p2171 (forall @t1954 (=> @t1933 (= (tptp.hAPP @t3077 (tptp.hAPP (tptp.hAPP @t1953 @t3092) @t2)) (tptp.hAPP @t3092 (tptp.hAPP (tptp.hAPP @t1951 @t3077) @t1947)))))) % 54.38/54.68 (assume @p2172 (forall (@list @t111 @t230 @t226 @t67 @t17) (= (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2421 @t3094)) @t583)) (forall @t7 (=> @t1930 (forall @t2793 (=> (tptp.hBOOL (tptp.hAPP @t3093 @t2417)) (tptp.hBOOL (tptp.hAPP @t111 @t2785))))))))) % 54.38/54.68 (assume @p2173 (forall @t191 (=> @t190 (= (= @t3096 @t3095) @t177)))) % 54.38/54.68 (assume @p2174 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t2337)) % 54.38/54.68 (assume @p2175 (forall @t3099 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3098) @t230)) (forall @t7 (=> @t1937 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t1935) @t230))))))) % 54.38/54.68 (assume @p2176 (forall @t2842 (= (tptp.hAPP (tptp.hAPP @t3078 @t2841) @t230) (tptp.hAPP @t3083 @t2838)))) % 54.38/54.68 (assume @p2177 (forall (@list @t230 @t226 @t1945 @t2 @t17 @t67) (= (tptp.hAPP @t2825 @t3084) (tptp.hAPP @t3083 (tptp.hAPP (tptp.hAPP @t3100 @t2825) @t230))))) % 54.38/54.68 (assume @p2178 (forall @t2846 (= (tptp.hAPP @t3090 @t2844) (tptp.hAPP @t3101 @t230)))) % 54.38/54.68 (assume @p2179 (forall @t3103 (= (tptp.hAPP (tptp.hAPP @t3078 @t2958) @t1942) (tptp.hAPP (tptp.hAPP @t2923 (tptp.hAPP @t3090 @t1942)) (tptp.hAPP @t3102 @t1942))))) % 54.38/54.68 (assume @p2180 (forall @t3106 (= (tptp.hAPP @t3097 @t3105) (tptp.hAPP (tptp.hAPP @t2923 @t3098) (tptp.hAPP @t3097 @t230))))) % 54.38/54.68 (assume @p2181 (forall @t3027 (= @t3110 @t3108))) % 54.38/54.68 (assume @p2182 (forall @t3019 (= @t3108 @t3110))) % 54.38/54.68 (assume @p2183 (forall @t3085 (= (tptp.hAPP (tptp.hAPP @t1938 @t3084) @t563) (tptp.hAPP @t2840 (tptp.hAPP (tptp.hAPP @t3081 (tptp.hAPP (tptp.hAPP @t3080 @t1938) @t230)) @t563))))) % 54.38/54.68 (assume @p2184 (forall @t3091 (= (tptp.hAPP @t2845 (tptp.hAPP (tptp.hAPP @t3089 (tptp.hAPP (tptp.hAPP @t3088 @t2839) @t230)) @t563)) (tptp.hAPP (tptp.hAPP @t2839 @t3087) @t563)))) % 54.38/54.68 (assume @p2185 (forall @t1636 (= @t3114 @t3112))) % 54.38/54.68 (assume @p2186 (forall (@list @t952 @t1942 @t226 @t67 @t17) (=> @t1933 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.hAPP @t3077 @t1942)) @t952)) (forall @t7 (=> @t1930 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t1943) @t952)))))))) % 54.38/54.68 (assume @p2187 (forall (@list @t2 @t226 @t67 @t36 @t17) (=> @t1934 (= (tptp.hBOOL (tptp.hAPP @t416 (tptp.hAPP @t3077 @t2))) (exists @t7 (and @t1930 (tptp.hBOOL (tptp.hAPP @t416 @t5)))))))) % 54.38/54.68 (assume @p2188 (forall @t3019 (= @t3116 @t3115))) % 54.38/54.68 (assume @p2189 (forall @t3026 (= @t3115 @t3116))) % 54.38/54.68 (assume @p2190 (forall @t3118 (= (tptp.hAPP @t1218 @t3094) (tptp.hAPP @t2845 @t3117)))) % 54.38/54.68 (assume @p2191 (forall @t3118 (= (tptp.hAPP @t1218 @t3119) (tptp.hAPP @t3090 @t3117)))) % 54.38/54.68 (assume @p2192 (forall @t236 (=> @t235 (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t3122) (tptp.hAPP (tptp.hAPP @t3120 @t230) @t2))))))) % 54.38/54.68 (assume @p2193 (forall @t191 (=> @t50 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3096) @t3095)) @t182)))) % 54.38/54.68 (assume @p2194 (forall @t2104 (=> @t190 (= (tptp.hAPP @t1218 @t3124) @t3123)))) % 54.38/54.68 (assume @p2195 (forall @t2104 (=> @t190 (= (tptp.hAPP @t1218 @t3123) @t3124)))) % 54.38/54.68 (assume @p2196 (forall (@list @t359 @t1942 @t33 @t17) (= (tptp.hAPP @t3066 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t231 tptp.tc_Nat_Onat) @t1942) @t2745)) (tptp.hAPP (tptp.hAPP @t3065 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t359 @t1216)) @t1942)))) % 54.38/54.68 (assume @p2197 (forall @t3053 (=> @t190 (=> @t3052 (= (tptp.hAPP @t3125 @t3062) @t3064))))) % 54.38/54.68 (assume @p2198 (forall @t282 (=> @t968 (= (tptp.hAPP @t2852 @t2905) (tptp.hAPP @t3061 @t1213))))) % 54.38/54.68 (assume @p2199 (forall @t282 (=> @t968 (= (tptp.hAPP @t2852 @t3096) (tptp.hAPP @t2903 @t1213))))) % 54.38/54.68 (assume @p2200 (forall @t85 (= @t2682 (tptp.hAPP @t3127 (tptp.hAPP @t2872 @t2658))))) % 54.38/54.68 (assume @p2201 (forall (@list @t2 @t226 @t230 @t17) (=> @t3131 (=> @t501 (= (tptp.hAPP @t2754 @t1223) (tptp.hAPP @t3129 @t3128)))))) % 54.38/54.68 (assume @p2202 (forall (@list @t3067 @t2 @t17) (=> @t1933 (=> @t3139 (=> @t3138 @t3134))))) % 54.38/54.68 (assume @p2203 (forall @t3140 (=> @t1933 (=> @t3138 (=> @t3139 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t3136) @t3137))))))) % 54.38/54.68 (assume @p2204 (forall @t2727 (tptp.hBOOL (tptp.hAPP @t3141 @t2908)))) % 54.38/54.68 (assume @p2205 (forall @t2727 (tptp.hBOOL (tptp.hAPP @t3142 @t2780)))) % 54.38/54.68 (assume @p2206 (forall @t2727 (tptp.hBOOL (tptp.hAPP @t3141 @t2724)))) % 54.38/54.68 (assume @p2207 (forall @t1636 (tptp.hBOOL (tptp.hAPP @t3141 @t3143)))) % 54.38/54.68 (assume @p2208 (forall @t1636 (tptp.hBOOL (tptp.hAPP @t3141 @t2910)))) % 54.38/54.68 (assume @p2209 (forall @t2727 (tptp.hBOOL (tptp.hAPP @t3142 @t2889)))) % 54.38/54.68 (assume @p2210 (forall @t2727 (tptp.hBOOL (tptp.hAPP @t3141 @t2882)))) % 54.38/54.68 (assume @p2211 (forall @t2727 (tptp.hBOOL (tptp.hAPP @t3142 @t2917)))) % 54.38/54.68 (assume @p2212 (forall @t2727 (tptp.hBOOL (tptp.hAPP @t3142 @t2891)))) % 54.38/54.68 (assume @p2213 (forall @t2727 (tptp.hBOOL (tptp.hAPP @t3141 @t3047)))) % 54.38/54.68 (assume @p2214 (forall @t3147 (= (tptp.hAPP @t2951 @t3146) (tptp.hAPP @t3145 @t2952)))) % 54.38/54.68 (assume @p2215 (forall (@list @t563 @t230 @t36 @t17) (= (tptp.hAPP (tptp.hAPP @t2923 @t3146) @t563) (tptp.hAPP @t3145 @t2970)))) % 54.38/54.68 (assume @p2216 (forall @t2885 (= (tptp.hBOOL (tptp.hAPP @t3141 @t226)) (tptp.hBOOL (tptp.hAPP @t3142 @t2829))))) % 54.38/54.68 (assume @p2217 (forall (@list @t230 @t36 @t2 @t17 @t67) (= (tptp.hAPP @t2825 @t3150) (tptp.hAPP (tptp.hAPP @t3144 @t2181) @t2850)))) % 54.38/54.68 (assume @p2218 (forall @t3154 (= @t3153 (exists @t225 (forall @t7 (=> @t3152 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t3) @t222)))))))) % 54.38/54.68 (assume @p2219 (forall @t3157 (= (tptp.hAPP @t3155 @t3156) @t3156))) % 54.38/54.68 (assume @p2220 (forall @t3160 (= (tptp.hAPP @t3155 @t3159) (tptp.hAPP @t3158 @t3156)))) % 54.38/54.68 (assume @p2221 (forall (@list @t125 @t226 @t176 @t17) (= (tptp.hBOOL (tptp.hAPP @t3159 @t125)) (or @t3161 @t2950)))) % 54.38/54.68 (assume @p2222 (forall (@list @t36 @t230 @t17) (tptp.hBOOL (tptp.hAPP @t500 @t3146)))) % 54.38/54.68 (assume @p2223 (forall (@list @t346 @t230 @t226 @t17) (=> @t234 (tptp.hBOOL (tptp.hAPP @t233 @t3163))))) % 54.38/54.68 (assume @p2224 (forall (@list @t36 @t1225 @t563 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3164 @t1225)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP @t3145 @t563)) (tptp.hAPP @t3145 @t1225)))))) % 54.38/54.68 (assume @p2225 (forall @t3154 (= @t3153 (exists @t225 (forall @t7 (=> @t3152 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t3) @t222)))))))) % 54.38/54.68 (assume @p2226 (forall (@list @t230 @t36 @t563 @t17 @t67) (= @t3166 @t3165))) % 54.38/54.68 (assume @p2227 (forall (@list @t230 @t563 @t67 @t36 @t17) (= @t3165 @t3166))) % 54.38/54.68 (assume @p2228 (forall @t3140 (=> @t1933 (=> (tptp.hBOOL (tptp.hAPP @t3133 @t3167)) @t3134)))) % 54.38/54.68 (assume @p2229 (forall @t2885 (=> @t2896 (= (tptp.hBOOL (tptp.hAPP @t3142 @t226)) (tptp.hBOOL (tptp.hAPP @t3141 @t2892)))))) % 54.38/54.68 (assume @p2230 (forall @t51 (=> @t1933 (=> @t3139 (= @t3132 @t3168))))) % 54.38/54.68 (assume @p2231 (forall @t2897 (=> @t1933 (=> @t3169 (=> @t3139 (= @t226 @t3009)))))) % 54.38/54.68 (assume @p2232 (forall @t3174 (=> @t2861 (=> @t3173 (= @t3171 @t3170))))) % 54.38/54.68 (assume @p2233 (forall @t3177 (=> @t2861 @t3176))) % 54.38/54.68 (assume @p2234 (forall @t1636 (= @t2911 (tptp.hAPP @t3178 @t3143)))) % 54.38/54.68 (assume @p2235 (forall @t1636 (= (tptp.hAPP @t2900 @t373) (tptp.hAPP @t3179 @t2910)))) % 54.38/54.68 (assume @p2236 (forall @t3183 (=> @t3182 (= (= (tptp.hAPP @t2754 @t3180) @t56) (forall @t7 (=> @t3181 (= @t5 @t56))))))) % 54.38/54.68 (assume @p2237 (forall @t3186 (= (tptp.hAPP (tptp.hAPP @t3078 @t3185) @t230) (tptp.hAPP (tptp.hAPP @t2923 @t3184) @t3094)))) % 54.38/54.68 (assume @p2238 (forall @t3192 (=> @t2861 (=> @t3172 (= (tptp.hAPP (tptp.hAPP @t2858 (tptp.hAPP (tptp.hAPP @t3191 (tptp.hAPP (tptp.hAPP @t3190 @t3187) @t1)) @t53)) @t226) (tptp.hAPP @t3188 (tptp.hAPP (tptp.hAPP @t2858 @t53) @t226))))))) % 54.38/54.68 (assume @p2239 (forall @t2816 (tptp.hBOOL (tptp.hAPP @t3142 @t2815)))) % 54.38/54.68 (assume @p2240 (forall @t51 (=> @t1933 (=> @t3139 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t3168) @t3132)))))) % 54.38/54.68 (assume @p2241 (forall @t51 (=> @t1933 (=> @t3139 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t3132) @t3168)))))) % 54.38/54.68 (assume @p2242 (forall @t93 (=> @t250 (= @t2767 (tptp.hAPP (tptp.hAPP @t3126 @t34) @t2711))))) % 54.38/54.68 (assume @p2243 (forall @t2897 (=> @t3172 (= (= @t2755 @t221) (exists @t7 (and @t2422 (= @t5 @t221) @t3197)))))) % 54.38/54.68 (assume @p2244 (forall @t2897 (=> @t3172 (= (= @t2755 @t663) (exists @t7 (and @t2422 @t3198 @t3197)))))) % 54.38/54.68 (assume @p2245 (forall @t236 (=> @t3202 (=> @t3172 (=> @t501 (= (tptp.hAPP @t2860 @t1223) (tptp.hAPP @t3201 @t3199))))))) % 54.38/54.68 (assume @p2246 (forall (@list @t3067 @t2 @t226 @t17) (=> @t1933 (=> @t3169 (=> @t3139 (=> (tptp.hBOOL (tptp.hAPP @t3133 (tptp.hAPP @t2 (tptp.hAPP @t3135 @t226)))) (tptp.hBOOL (tptp.hAPP @t3133 @t226)))))))) % 54.38/54.68 (assume @p2247 (forall (@list @t226 @t67 @t1936 @t17) (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t2421 @t1936)) (tptp.hBOOL (tptp.hAPP @t3204 @t1935)))) (tptp.hBOOL (tptp.hAPP @t3204 @t3203))))) % 54.38/54.68 (assume @p2248 (forall @t2965 (=> @t3131 (=> @t234 (=> @t3206 @t561))))) % 54.38/54.68 (assume @p2249 (forall @t2965 (=> @t3131 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t3209) @t3207))))) % 54.38/54.68 (assume @p2250 (forall @t2965 (=> @t3131 (=> @t501 (= @t3207 @t3209))))) % 54.38/54.68 (assume @p2251 (forall @t3212 (=> @t3172 @t3211))) % 54.38/54.68 (assume @p2252 (forall @t3214 (=> @t3182 (tptp.hBOOL (tptp.hAPP @t3204 (tptp.hAPP @t3213 @t3180)))))) % 54.38/54.68 (assume @p2253 (forall @t502 (=> @t3172 @t3215))) % 54.38/54.68 (assume @p2254 (forall @t558 (=> @t3216 @t3172))) % 54.38/54.68 (assume @p2255 (forall @t3217 (= @t3211 @t3172))) % 54.38/54.68 (assume @p2256 (forall @t2965 (=> @t3131 (=> @t234 @t3172)))) % 54.38/54.68 (assume @p2257 (forall @t502 (=> @t234 (=> @t3131 @t3172)))) % 54.38/54.68 (assume @p2258 (forall @t3220 (= @t3219 (and @t3182 @t3218)))) % 54.38/54.68 (assume @p2259 (forall @t3220 (=> @t3182 (=> @t3218 @t3219)))) % 54.38/54.68 (assume @p2260 (forall @t2965 (=> @t3131 (= @t3215 @t3172)))) % 54.38/54.68 (assume @p2261 (forall @t3223 (=> @t3172 (= @t3222 @t3221)))) % 54.38/54.68 (assume @p2262 (forall (@list @t2 @t230 @t67 @t226 @t17) (=> @t3172 (=> @t3226 @t3224)))) % 54.38/54.68 (assume @p2263 (forall @t3147 (= (tptp.hBOOL (tptp.hAPP @t3130 @t3227)) @t3215))) % 54.38/54.68 (assume @p2264 (forall @t558 @t3229)) % 54.38/54.68 (assume @p2265 (forall @t558 (=> @t3230 @t3172))) % 54.38/54.68 (assume @p2266 (forall @t3233 (=> @t3172 (tptp.hBOOL (tptp.hAPP @t3232 @t3231))))) % 54.38/54.68 (assume @p2267 (forall @t2965 (=> @t3131 (=> @t234 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t3205) @t2881)) @t499))))) % 54.38/54.68 (assume @p2268 (forall @t2965 (=> @t3131 (=> @t234 (tptp.hBOOL (tptp.hAPP @t3232 @t3205)))))) % 54.38/54.68 (assume @p2269 (forall @t3235 (=> @t3172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t3234) @t2881))))) % 54.38/54.68 (assume @p2270 (forall @t2965 (=> @t3131 (=> @t561 @t3206)))) % 54.38/54.68 (assume @p2271 (forall (@list @t125 @t176 @t55) (and (=> @t3240 (= @t3238 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t1250 @t55)) (tptp.hAPP (tptp.hAPP @t740 @t176) @t55)))) (=> (not @t3240) (and (=> @t572 (= @t3238 @t3239)) (=> (not @t572) (= @t3238 @t3236))))))) % 54.38/54.68 (assume @p2272 (forall @t3246 (=> (and @t2861 @t3245) (=> @t3131 (=> @t234 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2421 @t2964)) @t3244)) @t3242)))))) % 54.38/54.68 (assume @p2273 (forall @t3223 (and (=> @t3250 @t3253) (=> (not @t3250) (= @t3249 @t56))))) % 54.38/54.68 (assume @p2274 (forall @t3233 (=> @t3172 (= @t3231 @t3258)))) % 54.38/54.68 (assume @p2275 (forall @t45 (tptp.hBOOL (tptp.hAPP @t3130 @t3254)))) % 54.38/54.68 (assume @p2276 (forall @t558 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3254) @t226)))) % 54.38/54.68 (assume @p2277 (forall @t3217 (not (= @t3254 @t3210)))) % 54.38/54.68 (assume @p2278 (forall @t3217 (not (= @t3210 @t3254)))) % 54.38/54.68 (assume @p2279 (forall @t870 (= (= @t3261 (tptp.hAPP @t3259 (tptp.hAPP (tptp.hAPP @t3144 @t863) @t3254))) (or @t2733 (and (= @t36 @t863) @t874))))) % 54.38/54.68 (assume @p2280 (forall @t352 (=> (= @t3262 @t3260) @t865))) % 54.38/54.68 (assume @p2281 (forall @t558 (= (tptp.hAPP @t1222 @t226) @t3254))) % 54.38/54.68 (assume @p2282 (forall @t558 (= (tptp.hAPP @t1222 @t3254) @t226))) % 54.38/54.68 (assume @p2283 (forall @t558 (= (tptp.hAPP (tptp.hAPP @t1221 @t3254) @t226) @t3254))) % 54.38/54.68 (assume @p2284 (= @t3263 (tptp.hAPP @t2813 @t3236))) % 54.38/54.68 (assume @p2285 (= @t3236 (tptp.hAPP @t2884 @t3263))) % 54.38/54.68 (assume @p2286 (forall @t558 (= (tptp.hBOOL (tptp.hAPP @t233 @t3254)) @t3264))) % 54.38/54.68 (assume @p2287 (forall @t3267 (= (= @t2826 @t3254) @t3266))) % 54.38/54.68 (assume @p2288 (forall @t72 (= (tptp.hAPP @t2825 @t3265) @t3254))) % 54.38/54.68 (assume @p2289 (forall @t2670 (= (= @t3254 @t2826) @t3266))) % 54.38/54.68 (assume @p2290 (forall (@list @t111 @t17 @t3) (=> @t3268 @t583))) % 54.38/54.68 (assume @p2291 (forall @t3270 (=> (tptp.class_Orderings_Obot @t17) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t1244) @t125) @t3269)))) % 54.38/54.68 (assume @p2292 (forall @t502 (= (= @t2952 @t3254) (and @t3264 @t3271)))) % 54.38/54.68 (assume @p2293 (forall @t558 (= (tptp.hAPP @t2951 @t3254) @t226))) % 54.38/54.68 (assume @p2294 (forall @t3272 (= (tptp.hAPP (tptp.hAPP @t2923 @t3254) @t230) @t230))) % 54.38/54.68 (assume @p2295 (tptp.c_Nat__Transfer_Onat__set @t3263)) % 54.38/54.68 (assume @p2296 (forall @t558 (not (tptp.hBOOL (tptp.hAPP @t560 @t3254))))) % 54.38/54.68 (assume @p2297 (forall @t78 (=> (tptp.class_Orderings_Obot @t10) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t3273) @t28))))) % 54.38/54.68 (assume @p2298 (forall @t3277 (=> @t235 (=> @t3276 (= (tptp.hAPP @t3121 @t3275) @t1942))))) % 54.38/54.68 (assume @p2299 (forall @t3118 (= (= @t3254 @t3094) @t3278))) % 54.38/54.68 (assume @p2300 (forall (@list @t226 @t17 @t67) (= (tptp.hAPP @t3090 (tptp.hAPP @t3279 @t3254)) @t3254))) % 54.38/54.68 (assume @p2301 (forall @t3283 (and (=> @t3264 (= @t3282 @t3265)) (=> @t3276 (= @t3282 @t55))))) % 54.38/54.68 (assume @p2302 (forall @t3284 (= (= @t3094 @t3254) @t3278))) % 54.38/54.68 (assume @p2303 (forall @t3277 (=> @t235 (=> @t3276 (= (tptp.hAPP @t228 @t3275) @t1942))))) % 54.38/54.68 (assume @p2304 (forall @t78 (=> @t3285 (= (tptp.hAPP (tptp.hAPP @t2974 @t3273) @t28) @t28)))) % 54.38/54.68 (assume @p2305 (forall @t78 (=> @t3285 (= (tptp.hAPP @t2977 @t3273) @t28)))) % 54.38/54.68 (assume @p2306 (forall @t191 (=> (tptp.class_Lattices_Obounded__lattice__bot @t17) (= (= @t2999 @t3269) (and (= @t125 @t3269) (= @t176 @t3269)))))) % 54.38/54.68 (assume @p2307 (forall @t3118 (= @t3287 @t3250))) % 54.38/54.68 (assume @p2308 (forall @t3223 (=> @t3172 (=> @t3224 @t3287)))) % 54.38/54.68 (assume @p2309 (forall @t3118 (=> @t3287 @t3172))) % 54.38/54.68 (assume @p2310 (forall @t3118 (=> @t3287 @t3224))) % 54.38/54.68 (assume @p2311 (forall @t3288 (=> @t2678 (= (tptp.hAPP @t2668 @t3265) @t268)))) % 54.38/54.68 (assume @p2312 (forall @t3289 (=> @t2678 (= (tptp.hAPP @t2690 @t3265) @t268)))) % 54.38/54.68 (assume @p2313 (forall @t3233 (=> (tptp.hBOOL (tptp.hAPP @t233 @t3255)) (or @t3264 (= @t226 @t3255))))) % 54.38/54.68 (assume @p2314 (forall @t3217 (= @t3210 (tptp.hAPP (tptp.hAPP @t2923 @t3262) @t226)))) % 54.38/54.68 (assume @p2315 (forall @t352 (=> @t50 (= (= @t3254 @t2739) @t2737)))) % 54.38/54.68 (assume @p2316 (forall @t352 (=> @t50 (= @t3290 @t2737)))) % 54.38/54.68 (assume @p2317 (forall @t974 (=> @t50 (=> @t413 @t3290)))) % 54.38/54.68 (assume @p2318 (forall @t3147 (= @t3227 (tptp.hAPP @t1273 @t3262)))) % 54.38/54.68 (assume @p2319 (forall @t3147 (= @t3227 (tptp.hAPP (tptp.hAPP @t1221 @t3291) @t230)))) % 54.38/54.68 (assume @p2320 (forall @t3217 (= @t3292 @t3210))) % 54.38/54.68 (assume @p2321 (forall @t974 (=> @t50 (=> @t457 @t3293)))) % 54.38/54.68 (assume @p2322 (forall @t45 (= (tptp.hAPP @t2880 @t3254) @t56))) % 54.38/54.68 (assume @p2323 (forall @t352 (=> @t50 (= @t3293 @t3294)))) % 54.38/54.68 (assume @p2324 (forall @t352 (=> @t50 (= (= @t3254 @t2730) @t3294)))) % 54.38/54.68 (assume @p2325 (forall @t352 (=> @t50 (=> @t865 (= @t2739 @t3262))))) % 54.38/54.68 (assume @p2326 (forall @t881 (=> @t50 (= (= @t2739 (tptp.hAPP @t3259 @t3254)) @t3295)))) % 54.38/54.68 (assume @p2327 (forall @t744 (=> @t50 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t36 @t36) @t3262)))) % 54.38/54.68 (assume @p2328 (forall @t558 (= (tptp.hBOOL (tptp.hAPP @t233 @t1220)) @t3264))) % 54.38/54.68 (assume @p2329 (forall @t1742 (= (tptp.hAPP @t2740 @t56) @t3236))) % 54.38/54.68 (assume @p2330 (forall @t3299 (=> @t50 (=> @t3298 @t3297)))) % 54.38/54.68 (assume @p2331 (forall @t3302 (=> @t50 (= @t3297 @t3301)))) % 54.38/54.68 (assume @p2332 (forall @t3302 (=> @t50 (= (= @t3254 @t3296) @t3301)))) % 54.38/54.68 (assume @p2333 (forall @t3299 (=> @t50 (=> @t3298 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t17 @t359 @t1045) @t3254))))) % 54.38/54.68 (assume @p2334 (= (tptp.hAPP @t2657 @t56) @t3236)) % 54.38/54.68 (assume @p2335 (forall @t3283 (and (=> @t3264 (= @t3303 @t3265)) (=> @t3276 @t3304)))) % 54.38/54.68 (assume @p2336 (forall @t3314 (and (=> @t3311 (= @t3310 @t3313)) (=> @t3312 (= @t3310 @t3308))))) % 54.38/54.68 (assume @p2337 (forall @t558 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t17 @t231) @t226) @t3316) @t226))) % 54.38/54.68 (assume @p2338 (forall @t3314 (and (=> @t3311 (= @t3308 @t3265)) (=> @t3312 (= @t3308 @t3310))))) % 54.38/54.68 (assume @p2339 (forall @t1320 (= (= @t3236 @t2945) @t2943))) % 54.38/54.68 (assume @p2340 (forall @t1320 (= @t3317 @t2943))) % 54.38/54.68 (assume @p2341 (forall @t1295 (=> (and @t3318 @t2943) @t3317))) % 54.38/54.68 (assume @p2342 (forall @t3322 (and (=> @t3311 (= @t3321 @t230)) (=> @t3312 (= @t3321 @t3320))))) % 54.38/54.68 (assume @p2343 (forall @t3322 (and (=> @t3311 (= @t3324 @t226)) (=> @t3312 (= @t3324 @t3323))))) % 54.38/54.68 (assume @p2344 (forall @t3322 (and (=> @t3311 (= @t3320 @t3265)) (=> @t3312 (= @t3320 @t3321))))) % 54.38/54.68 (assume @p2345 (forall @t3322 (and (=> @t3311 (= @t3323 @t3265)) (=> @t3312 (= @t3323 @t3324))))) % 54.38/54.68 (assume @p2346 (forall @t558 (= @t3228 (or @t3264 @t3173)))) % 54.38/54.68 (assume @p2347 (forall @t2104 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t1221 @t3325) @t3124) @t3325)))) % 54.38/54.68 (assume @p2348 (forall @t3267 (= @t2826 (tptp.hAPP @t3090 (tptp.hAPP (tptp.hAPP @t3024 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t3021 @t67) @t3144) @t2)) @t3254))))) % 54.38/54.68 (assume @p2349 (forall @t1742 (= (tptp.hAPP @t2740 @t208) (tptp.hAPP (tptp.hAPP @t3126 @t86) @t3236)))) % 54.38/54.68 (assume @p2350 (forall @t3322 (and (=> @t3311 (= @t3328 @t226)) (=> @t3312 (= @t3328 @t3327))))) % 54.38/54.68 (assume @p2351 (= (tptp.hAPP @t2900 @t56) @t3239)) % 54.38/54.68 (assume @p2352 (forall @t1320 (=> @t865 (= @t2945 @t3329)))) % 54.38/54.68 (assume @p2353 (forall (@list @t36) (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2541 @t36 @t36) @t3329))) % 54.38/54.68 (assume @p2354 (forall (@list @t55 @t346 @t36) (= (= @t2945 (tptp.hAPP (tptp.hAPP @t3126 @t55) @t3236)) @t3295))) % 54.38/54.68 (assume @p2355 (forall @t1636 (= @t3114 (tptp.hAPP (tptp.hAPP @t3330 (tptp.hAPP @t3113 @t359)) (tptp.hAPP @t3178 @t3236))))) % 54.38/54.68 (assume @p2356 (forall @t1636 (= (tptp.hAPP @t3111 @t373) (tptp.hAPP (tptp.hAPP @t3330 @t3112) (tptp.hAPP @t3179 @t3236))))) % 54.38/54.68 (assume @p2357 (forall @t558 (= @t3230 (and @t3276 @t3172)))) % 54.38/54.68 (assume @p2358 (forall (@list @t31 @t759) (and (=> @t3333 (= @t3332 @t3263)) (=> (not @t3333) (= @t3332 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t31) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t3331 @t759))))))) % 54.38/54.68 (assume @p2359 (forall (@list @t952 @t17) (=> @t190 (= (tptp.hAPP (tptp.hAPP @t2923 @t3049) @t3334) @t3054)))) % 54.38/54.68 (assume @p2360 (forall @t93 (and (=> @t96 (= @t2764 (tptp.hAPP (tptp.hAPP @t3126 @t33) @t2741))) (=> @t249 (= @t2764 @t3236))))) % 54.38/54.68 (assume @p2361 (forall (@list @t1045 @t17) (=> @t190 (= (tptp.hAPP @t3335 @t3057) @t3064)))) % 54.38/54.68 (assume @p2362 (forall @t3223 (=> @t3172 (=> @t3224 @t3253)))) % 54.38/54.68 (assume @p2363 (forall @t3339 (=> @t2861 (=> @t3172 (= @t3338 @t3337))))) % 54.38/54.68 (assume @p2364 (forall @t3233 (=> @t3172 (= @t3231 @t3340)))) % 54.38/54.68 (assume @p2365 (forall @t3233 (=> @t3172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t3257) @t2881))))) % 54.38/54.68 (assume @p2366 (forall @t3053 (=> @t190 (=> @t3052 (= (tptp.hAPP @t3125 @t3334) @t3048))))) % 54.38/54.68 (assume @p2367 (forall @t3053 (=> @t190 (=> @t3052 (= (tptp.hAPP @t3335 @t2920) @t3048))))) % 54.38/54.68 (assume @p2368 (forall @t3053 (=> @t190 (=> @t3060 (= (tptp.hAPP @t3335 @t3059) @t2930))))) % 54.38/54.68 (assume @p2369 (forall @t3053 (=> @t190 (=> @t3060 (= (tptp.hAPP @t3063 @t3334) @t2920))))) % 54.38/54.68 (assume @p2370 (forall (@list @t3067 @t17) (= (tptp.c_Set_Othe__elem @t17 @t3067) (tptp.c_HOL_OThe @t17 (tptp.hAPP (tptp.hAPP @t3341 (tptp.hAPP tptp.c_fequal @t3067)) @t3316))))) % 54.38/54.68 (assume @p2371 (forall @t3343 (=> @t3342 (= (tptp.c_SetInterval_Oord_OgreaterThanLessThan tptp.tc_Nat_Onat @t2629 @t359 @t1045) @t3236)))) % 54.38/54.68 (assume @p2372 (forall @t282 (= (tptp.c_Set_Othe__elem @t17 @t3255) @t125))) % 54.38/54.68 (assume @p2373 (forall @t3118 (= (= @t3247 (tptp.c_Orderings_Obot__class_Obot @t3345)) (and @t3264 @t3344)))) % 54.38/54.68 (assume @p2374 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t56)) % 54.38/54.68 (assume @p2375 (forall @t675 (= @t674 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2254 @t1986) @t3348) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1986) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t1986 @t3347) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3346 (tptp.tc_fun @t1986 @t3347) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t1986 @t1986)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1919 @t3346 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2628 tptp.tc_Nat_Onat) @t3126)) @t740))) @t3236))))))) % 54.38/54.68 (assume @p2376 (forall @t3233 (=> @t3172 @t3351))) % 54.38/54.68 (assume @p2377 (forall @t3233 (=> @t3172 (and @t3351 (=> @t3352 (= @t3257 @t2881)))))) % 54.38/54.68 (assume @p2378 (forall @t3359 (=> @t3358 (=> @t3172 (and (=> @t3356 (= @t3355 @t125)) (=> @t3357 (= @t3355 @t3354))))))) % 54.38/54.68 (assume @p2379 (forall (@list @t55 @t17 @t230 @t226) (=> @t499 (=> @t3366 (not @t3364))))) % 54.38/54.68 (assume @p2380 (forall @t3375 (=> @t3374 (=> (not @t3371) @t3369)))) % 54.38/54.68 (assume @p2381 (forall @t3375 (=> @t3374 (=> @t3368 @t3371)))) % 54.38/54.68 (assume @p2382 (forall (@list @t1945 @t67 @t55 @t346 @t230 @t226 @t36 @t17) (=> @t3368 (=> @t3371 @t3377)))) % 54.38/54.68 (assume @p2383 (forall @t744 (not (tptp.hBOOL (tptp.hAPP @t3367 @t3254))))) % 54.38/54.68 (assume @p2384 (forall @t3380 (=> @t3379 (=> @t1016 @t3368)))) % 54.38/54.68 (assume @p2385 (forall @t3384 (=> (=> @t3383 @t865) @t3381))) % 54.38/54.68 (assume @p2386 (forall @t3386 (=> @t234 @t3385))) % 54.38/54.68 (assume @p2387 (forall (@list @t17 @t226 @t67 @t125 @t2 @t346) (=> @t3390 (=> @t3389 (tptp.hBOOL (tptp.hAPP @t3387 @t2826)))))) % 54.38/54.68 (assume @p2388 (forall @t3392 (=> @t3391 @t3364))) % 54.38/54.68 (assume @p2389 (forall @t3393 (=> (=> @t3365 @t3362) @t3391))) % 54.38/54.68 (assume @p2390 (forall @t3392 (=> @t3362 (=> @t3365 @t3394)))) % 54.38/54.68 (assume @p2391 (forall @t3392 (=> @t3394 (not @t3385)))) % 54.38/54.68 (assume @p2392 (forall @t3396 (=> @t3363 @t3395))) % 54.38/54.68 (assume @p2393 (forall @t3399 (=> @t3368 (=> @t3398 (tptp.hBOOL (tptp.hAPP @t3397 @t3074)))))) % 54.38/54.68 (assume @p2394 (forall (@list @t67 @t346 @t230 @t226 @t36 @t17) (=> @t3368 (=> @t3400 @t3075)))) % 54.38/54.68 (assume @p2395 (forall @t3401 (=> @t2427 (=> @t3368 @t3400)))) % 54.38/54.68 (assume @p2396 (forall @t3401 (=> @t2427 (=> (not @t3400) @t3369)))) % 54.38/54.68 (assume @p2397 (forall @t3406 (=> @t3405 (=> @t3404 @t3402)))) % 54.38/54.68 (assume @p2398 (forall @t3406 (=> @t3405 (=> (not @t3402) (not @t3404))))) % 54.38/54.68 (assume @p2399 (forall (@list @t1945 @t67 @t346 @t36 @t55 @t522 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3408 @t2448)) (tptp.hBOOL (tptp.hAPP @t3408 (tptp.hAPP @t3407 @t2205)))))) % 54.38/54.68 (assume @p2400 (forall (@list @t2 @t1945 @t226 @t346 @t36 @t67 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3411 @t226)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3409 @t2182) (tptp.hAPP (tptp.c_Set_Oimage @t2172 @t1945 @t2537) @t226)))))) % 54.38/54.68 (assume @p2401 (forall @t558 (= (forall @t7 @t3412) @t3264))) % 54.38/54.68 (assume @p2402 (forall @t558 (= @t3413 @t3276))) % 54.38/54.68 (assume @p2403 (forall (@list @t55 @t17) (not (tptp.hBOOL (tptp.hAPP @t3360 @t3254))))) % 54.38/54.68 (assume @p2404 (forall (@list @t36 @t17 @t226) (=> @t3264 @t3369))) % 54.38/54.68 (assume @p2405 (forall @t3392 (= @t3394 (and @t3362 @t3365)))) % 54.38/54.68 (assume @p2406 (forall @t3392 (=> @t3394 @t3362))) % 54.38/54.68 (assume @p2407 (forall @t3392 (=> @t3394 @t3365))) % 54.38/54.68 (assume @p2408 (forall @t3217 (=> @t3368 (= @t3210 @t226)))) % 54.38/54.68 (assume @p2409 (forall @t3384 (=> @t3382 @t3381))) % 54.38/54.68 (assume @p2410 (forall @t3417 (=> @t3352 (=> @t3416 (= (= @t3156 @t3414) @t499))))) % 54.38/54.68 (assume @p2411 (forall @t3380 (= @t3379 @t3418))) % 54.38/54.68 (assume @p2412 (forall @t3419 (tptp.hBOOL (tptp.hAPP @t3367 @t3146)))) % 54.38/54.68 (assume @p2413 (forall @t3396 (=> @t3395 @t3363))) % 54.38/54.68 (assume @p2414 (forall @t3396 (= @t3395 @t3363))) % 54.38/54.68 (assume @p2415 (forall @t3421 (= (tptp.hBOOL (tptp.hAPP @t3420 @t226)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2787 @t574) @t2829))))) % 54.38/54.68 (assume @p2416 (forall (@list @t67 @t2 @t346 @t226 @t125 @t17) (=> @t3350 (=> @t3390 (tptp.hBOOL (tptp.hAPP @t3397 @t2819)))))) % 54.38/54.68 (assume @p2417 (forall @t3422 (=> @t3350 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1928 @t127) @t2819))))) % 54.38/54.68 (assume @p2418 (forall (@list @t226 @t2 @t67 @t522 @t17) (= (tptp.hBOOL (tptp.hAPP @t3408 @t2826)) (exists @t7 (and @t1930 (= @t522 @t5)))))) % 54.38/54.68 (assume @p2419 (forall @t3157 (= @t3350 @t2950))) % 54.38/54.68 (assume @p2420 (forall @t575 (= (= @t3423 (tptp.hAPP tptp.c_Int_ORep__Integ @t176)) @t177))) % 54.38/54.68 (assume @p2421 (forall (@list @t125 @t17 @t230 @t226) (=> @t499 (= @t3350 @t3415)))) % 54.38/54.68 (assume @p2422 (forall (@list @t226 @t17 @t176 @t125) (=> @t177 (= @t3350 @t3425)))) % 54.38/54.68 (assume @p2423 (forall @t3427 (=> @t865 (=> @t3426 @t3368)))) % 54.38/54.68 (assume @p2424 (forall @t3432 (= (= @t3431 @t3430) @t3428))) % 54.38/54.68 (assume @p2425 (forall @t191 (= (tptp.hBOOL (tptp.hAPP @t3349 @t2478)) @t177))) % 54.38/54.68 (assume @p2426 (forall @t2954 (=> @t234 (=> @t3350 @t3415)))) % 54.38/54.68 (assume @p2427 (forall @t3417 (=> @t3350 (=> @t234 @t3415)))) % 54.38/54.68 (assume @p2428 (forall (@list @t2 @t3067 @t36 @t17) (=> @t3436 (=> (tptp.hBOOL (tptp.hAPP @t3435 @t3167)) @t3434)))) % 54.38/54.68 (assume @p2429 (forall @t3393 (=> @t3361 @t3391))) % 54.38/54.68 (assume @p2430 (forall @t3392 (=> @t3362 @t3391))) % 54.38/54.68 (assume @p2431 (forall @t3392 (= @t3391 (or @t3362 @t3361)))) % 54.38/54.68 (assume @p2432 (forall @t3386 (=> @t561 @t3385))) % 54.38/54.68 (assume @p2433 (forall @t282 (= (tptp.hBOOL (tptp.hAPP @t3254 @t125)) (tptp.hBOOL (tptp.hAPP @t3349 @t3254))))) % 54.38/54.68 (assume @p2434 (forall (@list @t952 @t1045 @t3437 @t31 @t17) (= (tptp.hBOOL (tptp.hAPP @t3441 (tptp.c_SetInterval_Oord_OatLeastAtMost @t17 @t3437 @t1045 @t952))) (and @t3440 @t3439)))) % 54.38/54.68 (assume @p2435 (forall @t3448 (= (= @t3447 @t3446) @t3428))) % 54.38/54.68 (assume @p2436 (forall @t3452 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3451 @t3447) @t3446) @t125) @t176)) (tptp.hBOOL (tptp.hAPP @t3450 (tptp.hAPP (tptp.hAPP @t3449 @t2186) @t2909)))))) % 54.38/54.68 (assume @p2437 (forall @t2487 (= @t3454 (tptp.hBOOL (tptp.hAPP @t3450 @t3453))))) % 54.38/54.68 (assume @p2438 (forall @t3432 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3431) @t3430)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t2186) @t2909))))) % 54.38/54.68 (assume @p2439 (forall @t3455 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2923 @t3431) @t3430) @t125)) (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP (tptp.hAPP @t2923 @t2186) @t2909)))))) % 54.38/54.68 (assume @p2440 (forall @t3457 (= (tptp.hBOOL (tptp.hAPP @t3387 @t3094)) (exists @t7 (and @t1930 @t3456))))) % 54.38/54.68 (assume @p2441 (forall @t3457 (= @t3405 (forall @t7 (=> @t1930 @t3456))))) % 54.38/54.68 (assume @p2442 (forall @t3359 (=> @t3358 (=> @t3172 (=> @t3352 @t3460))))) % 54.38/54.68 (assume @p2443 (forall @t974 (= @t3462 @t3461))) % 54.38/54.68 (assume @p2444 (forall @t974 (=> @t3462 @t3461))) % 54.38/54.68 (assume @p2445 (forall @t3417 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3156) @t230)) (and @t3415 @t234)))) % 54.38/54.68 (assume @p2446 (forall @t3417 (=> @t3352 (= @t3463 @t234)))) % 54.38/54.68 (assume @p2447 (forall @t3422 (=> @t3350 (= (tptp.hAPP (tptp.hAPP @t3148 @t127) @t2819) @t2819)))) % 54.38/54.68 (assume @p2448 (forall (@list @t2 @t1 @t67 @t3067 @t36 @t17) (=> @t3436 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 @t3465) (tptp.hAPP @t2 @t3465))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1928 @t3464) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t2423 @t2))))))) % 54.38/54.68 (assume @p2449 (forall @t3469 (and @t3468 (=> @t3416 (= @t3467 (tptp.hAPP @t3155 @t1223)))))) % 54.38/54.68 (assume @p2450 (forall @t3469 @t3468)) % 54.38/54.68 (assume @p2451 (forall @t3470 (=> @t2325 (= (tptp.hBOOL (tptp.hAPP @t3441 @t3124)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t31) @t359)))))) % 54.38/54.68 (assume @p2452 (forall (@list @t952 @t1045 @t3471 @t31 @t17) (= (tptp.hBOOL (tptp.hAPP @t3441 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t17 @t3471 @t1045 @t952))) (and @t3474 @t3473)))) % 54.38/54.68 (assume @p2453 (forall @t3421 (=> @t1830 (=> @t2896 (= @t3475 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2771 @t680) @t2892))))))) % 54.38/54.68 (assume @p2454 (forall @t3470 (=> @t2325 (= (tptp.hBOOL (tptp.hAPP @t3441 @t2914)) (tptp.hBOOL (tptp.hAPP @t2749 @t359)))))) % 54.38/54.68 (assume @p2455 (forall @t3470 (=> @t2325 (= (tptp.hBOOL (tptp.hAPP @t3441 @t3123)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t359) @t31)))))) % 54.38/54.68 (assume @p2456 (forall @t3470 (=> @t2325 (= (tptp.hBOOL (tptp.hAPP @t3441 @t2913)) (tptp.hBOOL (tptp.hAPP @t3300 @t31)))))) % 54.38/54.68 (assume @p2457 (forall @t3479 (=> @t3478 (=> @t3434 (tptp.hBOOL (tptp.hAPP @t3367 @t3477)))))) % 54.38/54.68 (assume @p2458 (forall @t3482 (=> @t235 (=> @t3481 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t3480) (tptp.hAPP @t3121 @t1942))))))) % 54.38/54.68 (assume @p2459 (forall @t3483 (=> @t2896 (=> @t3475 @t1830)))) % 54.38/54.68 (assume @p2460 (forall @t3482 (=> @t235 (=> @t3481 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 (tptp.hAPP @t228 @t1942)) @t3480)))))) % 54.38/54.68 (assume @p2461 (forall @t3359 (=> @t3358 (=> @t3172 (=> @t3350 (and (=> @t3356 (= @t3458 @t125)) (=> @t3357 (= @t3458 @t3354)))))))) % 54.38/54.68 (assume @p2462 (forall @t3485 (=> @t3484 (= (tptp.hAPP @t3073 @t3306) (tptp.hAPP @t3149 @t3074))))) % 54.38/54.68 (assume @p2463 (forall @t3486 (=> @t3368 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 @t3184) @t3074))))) % 54.38/54.68 (assume @p2464 (forall @t3490 (=> @t3489 (= (tptp.hAPP (tptp.hAPP @t2956 @t3488) @t3487) @t3487)))) % 54.38/54.68 (assume @p2465 (forall @t3485 (=> @t3484 (= (tptp.hAPP @t2425 @t3306) (tptp.hAPP @t3149 @t2426))))) % 54.38/54.68 (assume @p2466 (forall @t3486 (=> @t3368 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 @t2426) @t3184))))) % 54.38/54.68 (assume @p2467 (forall @t3448 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2436 @t3447) @t3446)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3491 @t2186) @t2909))))) % 54.38/54.68 (assume @p2468 (forall @t3157 (=> @t3352 (= (tptp.hAPP @t3466 @t3255) @t226)))) % 54.38/54.68 (assume @p2469 (forall @t3217 (=> @t3368 (= @t3292 @t226)))) % 54.38/54.68 (assume @p2470 (forall @t3483 (=> @t2896 (=> @t3475 @t682)))) % 54.38/54.68 (assume @p2471 (forall @t3501 (=> @t2861 (=> @t3500 (and (=> @t3497 (= @t3496 @t3499)) (=> @t3498 (= @t3496 @t3170))))))) % 54.38/54.68 (assume @p2472 (forall @t3501 (=> @t2861 (=> @t3500 (and (=> @t3497 (= @t3503 @t3499)) (=> @t3498 (= @t3503 @t3170))))))) % 54.38/54.68 (assume @p2473 (forall @t3479 (=> @t3478 (=> @t3436 (=> (tptp.hBOOL (tptp.hAPP @t3435 @t3477)) @t3434))))) % 54.38/54.68 (assume @p2474 (forall @t3506 (=> @t3505 (=> @t3478 (=> @t3436 (=> (tptp.hBOOL (tptp.hAPP @t3435 (tptp.hAPP @t2 @t3504))) @t3368)))))) % 54.38/54.68 (assume @p2475 (forall (@list @t55 @t67 @t226 @t125 @t17) (=> @t3350 @t3304))) % 54.38/54.68 (assume @p2476 (forall @t3507 (=> @t3358 (= (tptp.hAPP @t3180 @t3255) @t125)))) % 54.38/54.68 (assume @p2477 (forall @t3508 (=> @t2861 (=> @t3172 (=> @t3352 (= @t3338 (tptp.hAPP @t3336 @t3175))))))) % 54.38/54.68 (assume @p2478 (forall (@list @t2 @t36 @t3180 @t17 @t67) (=> @t2861 (=> @t3182 (=> (not (tptp.hBOOL (tptp.hAPP @t3367 @t3180))) (= (tptp.hAPP @t2860 (tptp.hAPP @t3145 @t3180)) (tptp.hAPP @t3509 (tptp.hAPP @t2860 @t3180)))))))) % 54.38/54.68 (assume @p2479 (forall @t3511 (=> @t3510 (=> @t3350 @t3463)))) % 54.38/54.68 (assume @p2480 (forall @t3511 (= @t3463 (and (=> @t3350 @t3510) @t3512)))) % 54.38/54.68 (assume @p2481 (forall @t3233 (=> @t3172 (and (=> @t3350 (= @t3231 @t2881)) @t3513)))) % 54.38/54.68 (assume @p2482 (forall @t3233 (=> @t3172 @t3513))) % 54.38/54.68 (assume @p2483 (forall @t3233 (=> @t3172 (=> @t3352 (= @t3231 (tptp.hAPP @t1061 @t2881)))))) % 54.38/54.68 (assume @p2484 (forall @t3511 (= (tptp.hBOOL (tptp.hAPP @t560 @t3414)) (and (=> @t3415 @t561) (=> @t3416 (and (=> @t3350 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t559 @t3256) @t230))) @t3512)))))) % 54.38/54.68 (assume @p2485 (forall (@list @t2 @t226 @t36 @t17) (and (=> @t3368 (= @t3514 (tptp.hAPP @t3129 @t2181))) (=> @t3369 (= @t3514 @t2755))))) % 54.38/54.68 (assume @p2486 (forall @t3516 (=> @t2861 (=> @t3172 (=> @t3368 (= @t3171 (tptp.hAPP @t3509 @t3515))))))) % 54.38/54.68 (assume @p2487 (forall @t3508 (=> @t2861 (=> @t3172 (=> @t3350 (= @t3175 @t3337)))))) % 54.38/54.68 (assume @p2488 (forall @t3516 (=> (tptp.class_Rings_Oring @t67) (=> @t3172 @t3517)))) % 54.38/54.68 (assume @p2489 (forall @t3516 (=> @t3202 (=> @t3172 (and @t3517 (=> @t3369 (= @t3515 @t3171))))))) % 54.38/54.68 (assume @p2490 (forall @t3233 (=> @t3172 (=> @t3350 (= @t3340 @t2881))))) % 54.38/54.68 (assume @p2491 (forall (@list @t176 @t125 @t226 @t17) (=> @t3172 (=> @t3350 (=> @t3425 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t2880 (tptp.hAPP (tptp.hAPP @t1221 @t3256) @t3518))) @t2881))))))) % 54.38/54.68 (assume @p2492 (forall @t3233 (=> @t3172 (=> @t3350 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t3257) @t2881)))))) % 54.38/54.68 (assume @p2493 (forall @t3147 (=> @t3172 (=> @t3368 (=> @t3383 (= (tptp.hAPP @t2880 @t3227) (tptp.hAPP (tptp.hAPP @t740 @t3207) @t663))))))) % 54.38/54.68 (assume @p2494 (forall @t3233 (=> @t3172 (=> @t3350 (= @t2881 @t3258))))) % 54.38/54.68 (assume @p2495 (forall (@list @t176 @t125 @t2186 @t67 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t17 @t67 @t2186) @t125) @t176)) (tptp.hBOOL (tptp.hAPP @t3450 @t2186))))) % 54.38/54.68 (assume @p2496 (forall @t2897 (=> @t3520 (= (tptp.hAPP (tptp.hAPP @t2751 @t2) @t226) (tptp.hAPP @t509 (tptp.hAPP (tptp.hAPP @t2753 @t3519) @t226)))))) % 54.38/54.68 (assume @p2497 (forall @t3523 (=> @t2795 (=> @t3522 (forall @t7 (=> @t2799 (=> @t2784 (tptp.hBOOL (tptp.hAPP @t2783 @t2797))))))))) % 54.38/54.68 (assume @p2498 (forall @t3526 (=> @t2795 (=> @t3525 (forall @t7 (=> @t2794 (=> @t2798 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t2782) @t2231))))))))) % 54.38/54.68 (assume @p2499 (forall @t3530 (=> @t3529 (=> (not @t3528) @t3527)))) % 54.38/54.68 (assume @p2500 (forall (@list @t67 @t17 @t226 @t176 @t125 @t230) (=> (=> @t3531 @t3528) @t3529))) % 54.38/54.68 (assume @p2501 (forall @t2487 (not @t3454))) % 54.38/54.68 (assume @p2502 (forall (@list @t230 @t17 @t226) (=> (= @t226 @t3535) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 @t226) @t230))))) % 54.38/54.68 (assume @p2503 (forall @t3537 (= @t3377 (exists @t7 (and @t2422 @t3536))))) % 54.38/54.68 (assume @p2504 (forall (@list @t230 @t67 @t17 @t176 @t125 @t226) (=> @t3528 @t3529))) % 54.38/54.68 (assume @p2505 (forall (@list @t226 @t67 @t17 @t176 @t125 @t230) (=> @t3527 @t3529))) % 54.38/54.68 (assume @p2506 (forall @t3537 (= @t3374 @t3538))) % 54.38/54.68 (assume @p2507 (forall @t1756 (= (tptp.c_Nitpick_Orefl_H @t17 @t1753) (forall @t7 @t3544)))) % 54.38/54.68 (assume @p2508 (forall @t1315 (= (tptp.hBOOL (tptp.hAPP @t3547 (tptp.c_SetInterval_Oord_OgreaterThan tptp.tc_Nat_Onat @t2629 @t359))) (and @t3546 (not @t3545))))) % 54.38/54.68 (assume @p2509 (forall @t1315 (= (tptp.hBOOL (tptp.hAPP @t3547 (tptp.c_SetInterval_Oord_OlessThan tptp.tc_Nat_Onat @t2629 @t359))) (and @t3545 (not @t3546))))) % 54.38/54.68 (assume @p2510 (forall @t3523 (=> @t2795 (=> @t3522 (=> (forall @t7 (=> @t3548 (forall @t2793 (=> (tptp.hBOOL (tptp.hAPP @t2791 @t230)) (not (= @t2231 (tptp.hAPP (tptp.hAPP @t745 @t2785) @t3))))))) (= (tptp.hAPP @t3521 @t1225) @t2231)))))) % 54.38/54.68 (assume @p2511 (forall @t3549 (= (tptp.hBOOL (tptp.hAPP @t3441 (tptp.c_SetInterval_Oord_OlessThan @t17 @t3471 @t359))) (tptp.hBOOL (tptp.hAPP @t3472 @t359))))) % 54.38/54.68 (assume @p2512 (forall @t3549 (= (tptp.hBOOL (tptp.hAPP @t3441 (tptp.c_SetInterval_Oord_OgreaterThan @t17 @t3471 @t359))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3471 @t359) @t31))))) % 54.38/54.68 (assume @p2513 (forall @t3526 (=> @t2795 (=> @t3552 (forall @t7 (=> @t2794 (=> @t3550 (not (= @t2782 @t2231))))))))) % 54.38/54.68 (assume @p2514 (forall @t3523 (=> @t2795 (=> @t3553 (forall @t7 (=> @t2799 (=> @t3550 (not (= @t2797 @t2231))))))))) % 54.38/54.68 (assume @p2515 (forall @t3523 (=> @t2795 (=> @t3553 (forall @t7 (=> @t2799 (=> @t2804 (tptp.hBOOL (tptp.hAPP @t2803 @t2797))))))))) % 54.38/54.68 (assume @p2516 (forall @t3526 (=> @t2795 (=> @t3552 (forall @t7 (=> @t2794 (=> @t2802 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t2782) @t2231))))))))) % 54.38/54.68 (assume @p2517 (forall @t3526 (=> @t2795 (=> @t3525 (=> (forall @t7 (=> @t3548 (forall @t2793 (=> (tptp.hBOOL (tptp.hAPP @t2791 @t226)) (not (= @t2231 (tptp.hAPP (tptp.hAPP @t829 @t2785) @t3))))))) (= (tptp.hAPP @t3524 @t1225) @t2231)))))) % 54.38/54.68 (assume @p2518 (forall (@list @t2 @t176 @t125 @t17) (= (tptp.hBOOL (tptp.hAPP @t3558 @t3556)) @t3554))) % 54.38/54.68 (assume @p2519 (forall @t1315 (= (tptp.hBOOL (tptp.hAPP @t3547 (tptp.c_SetInterval_Oord_OatLeast tptp.tc_Nat_Onat @t2541 @t359))) @t3546))) % 54.38/54.68 (assume @p2520 (forall @t1315 (= (tptp.hBOOL (tptp.hAPP @t3547 (tptp.c_SetInterval_Oord_OatMost tptp.tc_Nat_Onat @t2541 @t359))) @t3545))) % 54.38/54.68 (assume @p2521 (forall @t3559 (= (tptp.hBOOL (tptp.hAPP @t3441 (tptp.c_SetInterval_Oord_OatMost @t17 @t3437 @t359))) (tptp.hBOOL (tptp.hAPP @t3438 @t359))))) % 54.38/54.68 (assume @p2522 (forall @t3559 (= (tptp.hBOOL (tptp.hAPP @t3441 (tptp.c_SetInterval_Oord_OatLeast @t17 @t3437 @t359))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3437 @t359) @t31))))) % 54.38/54.68 (assume @p2523 (forall @t3565 (=> @t3564 (=> @t3563 (=> @t3389 (= @t3458 @t3562)))))) % 54.38/54.68 (assume @p2524 (forall @t3567 (=> @t3350 (=> (tptp.c_Nitpick_Ofold__graph_H @t17 @t67 @t2 @t522 @t3256 @t176) (tptp.c_Nitpick_Ofold__graph_H @t17 @t67 @t2 @t522 @t226 @t3566))))) % 54.38/54.68 (assume @p2525 (forall @t3246 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t67) (=> @t3131 (=> @t234 (=> (forall @t3569 (=> (tptp.hBOOL (tptp.hAPP @t3568 @t2964)) (tptp.hBOOL (tptp.hAPP @t3243 (tptp.hAPP @t2 @t2108))))) @t3242)))))) % 54.38/54.68 (assume @p2526 (forall @t3572 (and (=> @t3571 (= @t3570 @t346)) (=> (not @t3571) (= @t3570 (tptp.c_HOL_OThe @t17 (tptp.hAPP @t3429 (tptp.hAPP @t1222 @t3260)))))))) % 54.38/54.68 (assume @p2527 (forall (@list @t3180 @t1 @t522 @t2 @t67 @t17) (=> @t3564 (= (tptp.hAPP @t3180 @t3265) @t522)))) % 54.38/54.68 (assume @p2528 (forall @t3573 (tptp.c_Nitpick_Ofold__graph_H @t17 @t67 @t2 @t522 @t3254 @t522))) % 54.38/54.68 (assume @p2529 (forall (@list @t3574 @t2105 @t67 @t17) (tptp.c_Nitpick_Ofold__graph_H @t17 @t67 @t2105 @t3574 @t3254 @t3574))) % 54.38/54.68 (assume @p2530 (forall @t3565 (=> @t3564 (=> @t3563 (=> (not @t3389) @t3577))))) % 54.38/54.68 (assume @p2531 (forall @t3565 (=> @t3564 (=> @t3563 (= @t3576 @t3562))))) % 54.38/54.68 (assume @p2532 (forall @t3582 (=> @t3581 (=> @t3580 @t3579)))) % 54.38/54.68 (assume @p2533 (forall @t3582 (=> @t3554 @t3579))) % 54.38/54.68 (assume @p2534 (forall @t3588 (=> @t71 (=> @t68 (=> (exists @t7 (and @t3587 (forall @t2793 (=> (tptp.hBOOL (tptp.hAPP @t3093 @t2909)) @t3586)))) (= (tptp.c_Orderings_Oord__class_OLeast @t67 (tptp.hAPP @t3584 @t3583)) (tptp.hAPP @t2 (tptp.c_Orderings_Oord__class_OLeast @t17 @t3430)))))))) % 54.38/54.68 (assume @p2535 (forall @t3506 (=> @t3505 (=> @t3478 (=> @t3436 (=> (tptp.hBOOL (tptp.hAPP @t3435 (tptp.hAPP @t2 (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t231 (tptp.hAPP @t3591 @t226))))) @t3368)))))) % 54.38/54.68 (assume @p2536 (forall (@list @t2231 @t17) (=> @t1933 (= (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t17 (tptp.hAPP (tptp.c_COMBK @t17 @t17) @t2231)) @t2231)))) % 54.38/54.68 (assume @p2537 (forall @t3595 (=> @t3594 (=> @t688 @t3593)))) % 54.38/54.68 (assume @p2538 (forall @t3597 (=> @t3594 (=> @t3596 @t3593)))) % 54.38/54.68 (assume @p2539 (forall @t2756 (=> @t1933 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t3009) @t226)) (tptp.hBOOL (tptp.hAPP @t3599 @t226)))))) % 54.38/54.68 (assume @p2540 (forall @t51 (=> @t1933 (=> @t3139 (= @t3598 @t3600))))) % 54.38/54.68 (assume @p2541 (forall (@list @t2 @t53 @t17) (=> @t1933 (=> (= @t53 @t3598) (=> @t3139 (= @t53 (tptp.hAPP @t2 @t53))))))) % 54.38/54.68 (assume @p2542 (forall @t3597 (=> @t3594 (=> @t3596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t3592) @t359)))))) % 54.38/54.68 (assume @p2543 (forall (@list @t111 @t359 @t17) (=> @t3594 (=> (tptp.hBOOL (tptp.hAPP @t3300 @t3592)) (not @t3596))))) % 54.38/54.68 (assume @p2544 (forall @t51 (=> @t1933 (=> @t3139 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t3600) @t3598)))))) % 54.38/54.68 (assume @p2545 (forall @t51 (=> @t1933 (=> @t3139 (tptp.hBOOL (tptp.hAPP @t3599 @t3600)))))) % 54.38/54.68 (assume @p2546 (forall @t1270 (=> @t1269 (=> @t948 (= (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat @t111) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t111) tptp.c_Nat_OSuc)))))))) % 54.38/54.68 (assume @p2547 (forall @t3140 (=> @t3603 (=> @t3478 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3601) @t3602)))))) % 54.38/54.68 (assume @p2548 (forall @t3479 (=> @t3478 (=> @t3436 (=> @t3603 @t3434))))) % 54.38/54.68 (assume @p2549 (forall (@list @t3604 @t2 @t226 @t17 @t67) (=> (and @t3245 (tptp.class_Rings_Osemiring__1 @t67)) (=> (forall @t1268 (=> (tptp.hBOOL (tptp.hAPP @t3606 @t226)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t1610) @t3604)))) (tptp.hBOOL (tptp.hAPP @t3241 (tptp.hAPP (tptp.hAPP @t3605 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t67) @t2881)) @t3604))))))) % 54.38/54.68 (assume @p2550 (forall (@list @t359 @t226 @t17) (= (= @t2881 @t373) (exists (@list @t2108 @t3607) (and (= @t226 (tptp.hAPP (tptp.hAPP @t3144 @t2108) @t3607)) (not (tptp.hBOOL (tptp.hAPP @t3568 @t3607))) (= (tptp.hAPP @t2880 @t3607) @t359) (=> @t360 (= @t3607 @t3254))))))) % 54.38/54.68 (assume @p2551 (forall @t3608 (= (tptp.hBOOL (tptp.hAPP @t3441 (tptp.c_SetInterval_Oord_OatLeastLessThan @t17 @t3437 @t3471 @t1045 @t952))) (and @t3440 @t3473)))) % 54.38/54.68 (assume @p2552 (forall @t3608 (= (tptp.hBOOL (tptp.hAPP @t3441 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t17 @t3437 @t3471 @t1045 @t952))) (and @t3474 @t3439)))) % 54.38/54.68 (assume @p2553 (forall @t3343 (=> @t3342 @t3610))) % 54.38/54.68 (assume @p2554 (forall @t1295 (=> @t3318 @t3612))) % 54.38/54.68 (assume @p2555 (forall @t1050 (= @t3610 @t3613))) % 54.38/54.68 (assume @p2556 (forall @t1320 (= @t3612 @t3614))) % 54.38/54.68 (assume @p2557 (forall @t1050 (= (= @t3236 @t3609) @t3613))) % 54.38/54.68 (assume @p2558 (forall @t1320 (= (= @t3236 @t3611) @t3614))) % 54.38/54.68 (assume @p2559 (forall @t1712 (=> @t802 (=> (tptp.hBOOL (tptp.hAPP @t1545 @t521)) (tptp.hBOOL (tptp.hAPP @t3616 @t3615)))))) % 54.38/54.68 (assume @p2560 (forall @t744 (=> @t593 (=> @t3619 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t3617) @t268)) @t1114))))) % 54.38/54.68 (assume @p2561 (forall @t3233 (=> @t2993 (=> @t3172 (=> @t3350 (and (=> @t3356 (= @t3621 @t125)) (=> @t3357 (= @t3621 @t3620)))))))) % 54.38/54.68 (assume @p2562 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3350 (and (=> @t3356 @t3624) (=> @t3357 (= @t3623 @t3622)))))))) % 54.38/54.68 (assume @p2563 (forall @t282 (=> @t190 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t3255) @t125)))) % 54.38/54.68 (assume @p2564 (forall @t282 (=> @t2993 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 @t3255) @t125)))) % 54.38/54.68 (assume @p2565 (forall @t45 (=> @t2103 (tptp.hBOOL (tptp.hAPP @t3625 @t3618))))) % 54.38/54.68 (assume @p2566 (forall @t352 (=> @t2103 (=> @t3619 (=> @t3627 (tptp.hBOOL (tptp.hAPP @t3626 @t3618))))))) % 54.38/54.68 (assume @p2567 (forall @t352 (=> @t2103 (=> @t3619 (=> @t3627 (tptp.hBOOL (tptp.hAPP @t3628 @t3618))))))) % 54.38/54.68 (assume @p2568 (forall @t352 (=> @t2103 (=> @t3619 (=> @t3627 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t867) @t3618))))))) % 54.38/54.68 (assume @p2569 (forall @t1712 (=> @t802 (tptp.hBOOL (tptp.hAPP @t3616 @t3618))))) % 54.38/54.68 (assume @p2570 (forall @t45 (=> @t2103 (tptp.hBOOL (tptp.hAPP @t3629 @t3618))))) % 54.38/54.68 (assume @p2571 (forall @t744 (=> @t2103 (=> @t3619 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t885) @t3618)))))) % 54.38/54.68 (assume @p2572 (forall @t451 (=> @t2103 (=> @t3619 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t449) @t3618)))))) % 54.38/54.68 (assume @p2573 (forall @t271 (=> @t2103 (tptp.hBOOL (tptp.hAPP @t3630 @t3618))))) % 54.38/54.68 (assume @p2574 (forall @t594 (=> @t2103 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t592) @t3618))))) % 54.38/54.68 (assume @p2575 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3350 (tptp.hBOOL (tptp.hAPP @t178 @t3623))))))) % 54.38/54.68 (assume @p2576 (forall @t558 (=> @t190 (=> @t3172 (=> @t3276 @t3631))))) % 54.38/54.68 (assume @p2577 (forall @t3233 (=> @t2993 (=> @t3172 (=> @t3350 (= @t3632 @t3621)))))) % 54.38/54.68 (assume @p2578 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3350 (= @t3633 @t3623)))))) % 54.38/54.68 (assume @p2579 (forall @t45 (=> @t35 (tptp.hBOOL (tptp.hAPP @t3625 @t3615))))) % 54.38/54.68 (assume @p2580 (forall @t352 (=> @t35 (=> @t3635 (=> @t3634 (tptp.hBOOL (tptp.hAPP @t3626 @t3615))))))) % 54.38/54.68 (assume @p2581 (forall @t352 (=> @t35 (=> @t3635 (=> @t3634 (tptp.hBOOL (tptp.hAPP @t3628 @t3615))))))) % 54.38/54.68 (assume @p2582 (forall @t45 (=> @t35 (tptp.hBOOL (tptp.hAPP @t3629 @t3615))))) % 54.38/54.68 (assume @p2583 (forall @t271 (=> @t35 (tptp.hBOOL (tptp.hAPP @t3630 @t3615))))) % 54.38/54.68 (assume @p2584 (forall @t744 (=> @t617 (=> @t3619 @t1002)))) % 54.38/54.68 (assume @p2585 (forall @t3640 (=> @t190 (=> @t3639 (=> @t3638 (=> @t3637 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t1942)) @t3636)))))))) % 54.38/54.68 (assume @p2586 (forall @t3233 (=> @t2993 (=> @t3172 @t3642)))) % 54.38/54.68 (assume @p2587 (forall @t502 (=> @t2993 (=> @t3172 (=> @t3644 (=> @t501 (= (tptp.hAPP (tptp.hAPP @t2967 @t3643) @t3621) @t3621))))))) % 54.38/54.68 (assume @p2588 (forall @t3233 (=> @t190 (=> @t3172 @t3646)))) % 54.38/54.68 (assume @p2589 (forall @t502 (=> @t2993 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 @t3649))))))) % 54.38/54.68 (assume @p2590 (forall @t502 (=> @t190 (=> @t3172 (=> @t3644 (=> @t501 (= (tptp.hAPP (tptp.hAPP @t2357 @t3650) @t3623) @t3623))))))) % 54.38/54.68 (assume @p2591 (forall @t502 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 @t3653))))))) % 54.38/54.68 (assume @p2592 (forall @t744 (=> @t617 (=> @t3619 (not (= @t3617 @t268)))))) % 54.38/54.68 (assume @p2593 (forall @t3233 (=> @t2993 (=> @t3172 (=> @t3352 @t3642))))) % 54.38/54.68 (assume @p2594 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3352 @t3646))))) % 54.38/54.68 (assume @p2595 (forall @t3233 (=> @t2993 (=> @t3172 (and (=> @t3356 (= @t3641 @t125)) (=> @t3357 (= @t3641 @t3620))))))) % 54.38/54.68 (assume @p2596 (forall @t3233 (=> @t190 (=> @t3172 (and (=> @t3356 (= @t3645 @t125)) (=> @t3357 (= @t3645 @t3622))))))) % 54.38/54.68 (assume @p2597 (forall @t558 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3657 @t3631)))))) % 54.38/54.68 (assume @p2598 (forall @t558 (=> @t2993 (=> @t3172 (=> @t3276 (=> (forall @t287 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t3658) @t3655))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t3621) @t226)))))))) % 54.38/54.68 (assume @p2599 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3350 (and (=> @t3356 @t3661) (=> @t3357 (= @t3660 @t3659)))))))) % 54.38/54.68 (assume @p2600 (forall (@list @t3665 @t2105 @t3574 @t3663 @t3664 @t67 @t17) (= (tptp.c_Nitpick_Ofold__graph_H @t17 @t67 @t3664 @t3663 @t3574 @t3666) (or (and @t3667 (= @t3666 @t3663)) (exists @t287 (and (= @t3666 (tptp.hAPP (tptp.hAPP @t3664 @t3) @t283)) (tptp.hBOOL (tptp.hAPP @t2421 @t3574)) (tptp.c_Nitpick_Ofold__graph_H @t17 @t67 @t3664 @t3663 (tptp.hAPP (tptp.hAPP @t1221 @t3574) @t3662) @t283))))))) % 54.38/54.68 (assume @p2601 (forall @t282 (=> @t190 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t3255) @t125)))) % 54.38/54.68 (assume @p2602 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3350 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t3660) @t125))))))) % 54.38/54.68 (assume @p2603 (forall @t558 (=> @t190 (=> @t3172 (=> @t3276 @t3668))))) % 54.38/54.68 (assume @p2604 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3350 (= @t3669 @t3660)))))) % 54.38/54.68 (assume @p2605 (forall @t3640 (=> @t190 (=> @t3639 (=> @t3638 (=> @t3637 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t3670) (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t1942))))))))) % 54.38/54.68 (assume @p2606 (forall @t3233 (=> @t190 (=> @t3172 @t3672)))) % 54.38/54.68 (assume @p2607 (forall @t502 (=> @t190 (=> @t3172 (=> @t3644 (=> @t501 (= (tptp.hAPP (tptp.hAPP @t2286 @t3673) @t3660) @t3660))))))) % 54.38/54.68 (assume @p2608 (forall @t502 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 @t3676))))))) % 54.38/54.68 (assume @p2609 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3352 @t3672))))) % 54.38/54.68 (assume @p2610 (forall @t3233 (=> @t190 (=> @t3172 (and (=> @t3356 (= @t3671 @t125)) (=> @t3357 (= @t3671 @t3659))))))) % 54.38/54.68 (assume @p2611 (forall @t3679 (=> @t976 (=> @t3500 (=> @t3678 (= (tptp.hAPP @t839 (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t2909)) (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t3677))))))) % 54.38/54.68 (assume @p2612 (forall @t3679 (=> @t976 (=> @t3500 (=> @t3678 (= (tptp.hAPP @t839 (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t2909)) (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t3677))))))) % 54.38/54.68 (assume @p2613 (forall @t558 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3681 @t3668)))))) % 54.38/54.68 (assume @p2614 (forall (@list @t2232 @t1753 @t2195 @t2196 @t346 @t36 @t67 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3687 (tptp.hAPP (tptp.hAPP @t3686 @t2178) @t2199)) (tptp.c_Wellfounded_Olex__prod @t17 @t67 @t1753 @t2232))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t3685 @t2196)) @t1753)) (and @t2197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3684 (tptp.hAPP (tptp.hAPP @t3682 @t346) @t2195)) @t2232))))))) % 54.38/54.68 (assume @p2615 (forall @t502 (= (tptp.hBOOL (tptp.hAPP @t3692 @t3688)) (and @t561 @t3131)))) % 54.38/54.68 (assume @p2616 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3350 (and (=> @t3356 (= @t3694 @t125)) (=> @t3357 (= @t3694 @t3693)))))))) % 54.38/54.68 (assume @p2617 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3350 (= @t3695 @t3694)))))) % 54.38/54.68 (assume @p2618 (forall @t282 (=> @t190 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 @t3255) @t125)))) % 54.38/54.68 (assume @p2619 (forall @t3233 (=> @t190 (=> @t3172 @t3697)))) % 54.38/54.68 (assume @p2620 (forall @t502 (=> @t190 (=> @t3172 (=> @t3644 (=> @t501 (= (tptp.hAPP (tptp.hAPP @t2357 @t3698) @t3694) @t3694))))))) % 54.38/54.68 (assume @p2621 (forall @t3212 (=> @t190 (=> @t3172 (=> @t3368 (= (tptp.hAPP @t3699 @t3694) @t36)))))) % 54.38/54.68 (assume @p2622 (forall @t502 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 @t3702))))))) % 54.38/54.68 (assume @p2623 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3352 @t3697))))) % 54.38/54.68 (assume @p2624 (forall @t3233 (=> @t190 (=> @t3172 (and (=> @t3356 (= @t3696 @t125)) (=> @t3357 (= @t3696 @t3693))))))) % 54.38/54.68 (assume @p2625 (forall (@list @t17 @t2186 @t176 @t3704 @t67 @t125 @t111) (=> @t2433 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3684 (tptp.hAPP (tptp.hAPP @t3682 @t3704) @t176)) @t3705)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3687 (tptp.hAPP (tptp.hAPP @t3686 (tptp.hAPP @t2189 @t3704)) @t2477)) @t3703)))))) % 54.38/54.68 (assume @p2626 (forall @t558 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3657 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t3694) @t226)))))))) % 54.38/54.68 (assume @p2627 (forall @t558 (=> @t190 (=> @t3172 (=> @t3276 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t3706) @t3694))))))) % 54.38/54.68 (assume @p2628 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3350 (and (=> @t3356 (= @t3706 @t125)) (=> @t3357 (= @t3706 @t3707)))))))) % 54.38/54.68 (assume @p2629 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3350 (= @t3708 @t3706)))))) % 54.38/54.68 (assume @p2630 (forall @t282 (=> @t190 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 @t3255) @t125)))) % 54.38/54.68 (assume @p2631 (forall @t3233 (=> @t190 (=> @t3172 @t3710)))) % 54.38/54.68 (assume @p2632 (forall @t502 (=> @t190 (=> @t3172 (=> @t3644 (=> @t501 (= (tptp.hAPP (tptp.hAPP @t2286 @t3711) @t3706) @t3706))))))) % 54.38/54.68 (assume @p2633 (forall @t3212 (=> @t190 (=> @t3172 (=> @t3368 (= (tptp.hAPP @t3712 @t3706) @t36)))))) % 54.38/54.68 (assume @p2634 (forall @t502 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 @t3715))))))) % 54.38/54.68 (assume @p2635 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3352 @t3710))))) % 54.38/54.68 (assume @p2636 (forall @t3233 (=> @t190 (=> @t3172 (and (=> @t3356 (= @t3709 @t125)) (=> @t3357 (= @t3709 @t3707))))))) % 54.38/54.68 (assume @p2637 (forall @t558 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3681 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t3706) @t226)))))))) % 54.38/54.68 (assume @p2638 (forall @t3716 (=> @t3358 (=> @t3172 (=> @t3276 (=> (forall @t287 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t2494) @t3655))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t3458) @t226)))))))) % 54.38/54.68 (assume @p2639 (forall (@list @t176 @t2 @t67 @t226 @t125 @t17) (and (=> @t3350 (= @t3718 (tptp.hAPP (tptp.hAPP @t3148 @t176) (tptp.hAPP @t2817 @t3256)))) (=> @t3352 (= @t3718 @t2819))))) % 54.38/54.68 (assume @p2640 (forall (@list @t55 @t346 @t36 @t2909 @t17 @t67) (=> @t3724 (=> @t3500 (and (=> @t3497 (= @t3723 (tptp.hAPP (tptp.hAPP @t3605 @t3499) (tptp.hAPP @t3721 (tptp.hAPP (tptp.hAPP @t740 @t3719) @t663))))) (=> @t3498 (= @t3723 (tptp.hAPP @t3721 @t3719)))))))) % 54.38/54.68 (assume @p2641 (forall @t3725 (= (tptp.c_Fun_Ofun__upd @t17 @t67 @t2 @t125 @t127) @t2))) % 54.38/54.68 (assume @p2642 (forall @t2756 (=> @t2855 (= (tptp.hAPP (tptp.hAPP @t3727 @t2) @t226) (tptp.hAPP (tptp.hAPP @t3726 @t2003) @t2829))))) % 54.38/54.68 (assume @p2643 (forall (@list @t346 @t2 @t67 @t17 @t36 @t125) (and (=> @t3729 (= @t3728 @t346)) (=> (not @t3729) (= @t3728 @t127))))) % 54.38/54.68 (assume @p2644 (forall @t3731 (= (= @t3717 @t2) @t3730))) % 54.38/54.68 (assume @p2645 (forall @t3732 (= (tptp.c_Fun_Ofun__upd @t17 @t67 @t3717 @t125 @t522) (tptp.c_Fun_Ofun__upd @t17 @t67 @t2 @t125 @t522)))) % 54.38/54.68 (assume @p2646 (forall @t198 (= (tptp.hAPP @t3733 @t125) @t176))) % 54.38/54.68 (assume @p2647 (forall @t3738 (and (=> @t3736 (= @t3735 @t176)) @t3737))) % 54.38/54.68 (assume @p2648 (forall (@list @t863 @t346 @t86 @t67 @t17 @t55 @t36) (=> (not @t2732) (= (tptp.c_Fun_Ofun__upd @t17 @t67 (tptp.c_Fun_Ofun__upd @t17 @t67 @t86 @t36 @t346) @t55 @t863) (tptp.c_Fun_Ofun__upd @t17 @t67 (tptp.c_Fun_Ofun__upd @t17 @t67 @t86 @t55 @t863) @t36 @t346))))) % 54.38/54.68 (assume @p2649 (forall @t3738 @t3737)) % 54.38/54.68 (assume @p2650 (forall (@list @t17 @t67 @t176 @t125 @t2) (=> @t3730 (= @t3733 @t2)))) % 54.38/54.68 (assume @p2651 (forall @t2695 (=> @t2854 (= (tptp.hAPP (tptp.hAPP @t3739 (tptp.hAPP (tptp.hAPP @t2693 @t2696) @t1)) @t226) (tptp.hAPP (tptp.hAPP @t349 @t3742) (tptp.hAPP @t3740 @t226)))))) % 54.38/54.68 (assume @p2652 (forall @t2670 (=> (and @t2854 @t2103) (= (tptp.hAPP @t591 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t67 tptp.tc_Int_Oint) @t2) @t226)) (tptp.hAPP (tptp.hAPP @t3739 @t2684) @t226))))) % 54.38/54.68 (assume @p2653 (forall @t2756 (= @t3747 (tptp.hAPP tptp.c_Int_Onat @t3744)))) % 54.38/54.68 (assume @p2654 (forall @t2670 (=> (and @t2854 @t35) (= (tptp.hAPP @t266 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t67 tptp.tc_Nat_Onat) @t2) @t226)) (tptp.hAPP (tptp.hAPP @t3739 @t2671) @t226))))) % 54.38/54.68 (assume @p2655 (forall @t2756 (= (tptp.hAPP @t509 @t3747) @t3744))) % 54.38/54.68 (assume @p2656 (forall @t2689 (=> @t2854 (= (tptp.hAPP (tptp.hAPP @t3739 (tptp.hAPP @t2246 @t651)) @t226) @t651)))) % 54.38/54.68 (assume @p2657 (forall @t2670 (=> @t1823 (= (tptp.hAPP @t1527 @t3742) (tptp.hAPP (tptp.hAPP @t3739 @t2665) @t226))))) % 54.38/54.68 (assume @p2658 (forall @t3174 (=> (and @t3753 (tptp.class_Rings_Ono__zero__divisors @t67)) (=> @t3172 (= @t3752 @t3749))))) % 54.38/54.68 (assume @p2659 (forall @t3174 (=> @t3753 (=> @t3172 (=> @t3749 @t3752))))) % 54.38/54.68 (assume @p2660 (forall @t3289 (=> @t2854 (= (tptp.hAPP @t3740 @t3265) @t651)))) % 54.38/54.68 (assume @p2661 (forall @t3288 (=> @t2854 (= (tptp.hAPP @t3741 @t3265) @t651)))) % 54.38/54.68 (assume @p2662 (forall @t3177 (=> @t3724 @t3757))) % 54.38/54.68 (assume @p2663 (forall @t3174 (=> @t3724 (=> @t3173 (= @t3751 @t3754))))) % 54.38/54.68 (assume @p2664 (forall @t3183 (=> @t3182 (= (= (tptp.hAPP @t3746 @t3180) @t663) (forall @t7 (=> @t3181 @t3198)))))) % 54.38/54.68 (assume @p2665 (forall @t2897 (=> @t2855 (=> @t2896 (= @t3758 (tptp.hAPP (tptp.hAPP @t3727 @t2893) @t2892)))))) % 54.38/54.68 (assume @p2666 (forall @t3192 (=> @t3724 (=> @t3172 (= (tptp.hAPP (tptp.hAPP @t3722 @t3760) @t226) (tptp.hAPP @t3759 (tptp.hAPP (tptp.hAPP @t3722 @t53) @t226))))))) % 54.38/54.68 (assume @p2667 (forall @t3763 (=> (tptp.class_Fields_Ofield__inverse__zero @t67) (=> @t3172 (= (tptp.hAPP (tptp.hAPP @t3722 (tptp.hAPP (tptp.hAPP @t3191 (tptp.hAPP (tptp.hAPP @t3190 @t3761) @t2)) @t1)) @t226) (tptp.hAPP @t3762 @t3756)))))) % 54.38/54.68 (assume @p2668 (forall (@list @t2 @t31 @t226 @t17 @t67) (=> @t3753 (=> @t3172 (=> @t3481 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3765 @t3764) @t3751))))))) % 54.38/54.68 (assume @p2669 (forall @t3768 (=> @t3500 (= @t3767 @t3766)))) % 54.38/54.68 (assume @p2670 (forall @t3246 (=> (and @t3724 (tptp.class_Rings_Odvd @t67)) (=> @t3131 (=> @t234 (tptp.hBOOL (tptp.hAPP @t3770 @t3769))))))) % 54.38/54.68 (assume @p2671 (forall @t3501 (=> @t3724 (=> @t3500 (and (=> @t3497 (= @t3771 @t3499)) (=> @t3498 (= @t3771 @t3754))))))) % 54.38/54.68 (assume @p2672 (forall @t3501 (=> @t3724 (=> @t3500 (and (=> @t3497 (= @t3772 @t3499)) (=> @t3498 (= @t3772 @t3754))))))) % 54.38/54.68 (assume @p2673 (forall (@list @t176 @t226 @t17 @t67) (=> @t3724 (=> @t3172 (= (tptp.hAPP (tptp.hAPP @t3722 (tptp.hAPP @t3274 @t176)) @t226) (tptp.hAPP (tptp.hAPP @t3720 @t176) @t2881)))))) % 54.38/54.68 (assume @p2674 (forall @t3516 (=> @t3724 (=> @t3172 (=> @t3369 (= (tptp.hAPP @t3750 @t3210) (tptp.hAPP (tptp.hAPP @t3605 @t2181) @t3751))))))) % 54.38/54.68 (assume @p2675 (forall @t3508 (=> @t3724 (=> @t3172 (=> @t3352 (= @t3774 (tptp.hAPP @t3773 @t3756))))))) % 54.38/54.68 (assume @p2676 (forall @t3339 (=> @t3724 (=> @t3172 (= @t3774 @t3775))))) % 54.38/54.68 (assume @p2677 (forall @t3508 (=> @t3724 (=> @t3172 (=> @t3350 (= @t3756 @t3775)))))) % 54.38/54.68 (assume @p2678 (forall (@list @t36 @t2 @t226 @t17 @t67) (=> @t3777 (=> @t3172 (=> (not (= @t2181 @t3170)) (and (=> @t3368 (= @t3776 (tptp.hAPP @t3762 @t2181))) (=> @t3369 (= @t3776 @t3751)))))))) % 54.38/54.68 (assume @p2679 (forall (@list @t31 @t230 @t2 @t2232 @t17 @t67) (=> @t3782 (=> @t3781 (=> @t3780 (=> (= @t3779 @t230) (=> @t3778 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t3764) @t230))))))))) % 54.38/54.68 (assume @p2680 (forall (@list @t31 @t2 @t2232 @t17 @t67) (=> @t3782 (=> @t3781 (=> @t3780 (=> (= @t3779 @t3170) (=> @t3778 (= @t3764 @t3170)))))))) % 54.38/54.68 (assume @p2681 (forall @t3789 (=> @t3788 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t2232) @t2231)) @t3787)))) % 54.38/54.68 (assume @p2682 (forall @t3796 (=> @t190 (=> @t3795 (=> @t3637 (=> @t3792 (= (tptp.hAPP @t53 (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 @t3151)) (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 @t3791)))))))) % 54.38/54.68 (assume @p2683 (forall @t3789 (=> @t945 @t3787))) % 54.38/54.68 (assume @p2684 (forall @t3789 (=> @t3788 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t2232) @t2231)) @t3797)))) % 54.38/54.68 (assume @p2685 (forall (@list @t3067 @t125 @t3070 @t176) (=> (tptp.hBOOL (tptp.hAPP @t3808 @t3070)) (=> @t3806 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3803 (tptp.hAPP @t3804 @t3070)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3803 (tptp.hAPP (tptp.hAPP @t3801 (tptp.hAPP @t3799 @t3067)) @t3070)) tptp.c_FunDef_Omax__strict))))))) % 54.38/54.68 (assume @p2686 (forall @t3816 (=> @t3815 (=> @t3806 (=> (tptp.hBOOL (tptp.hAPP @t3814 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t3813 tptp.c_FunDef_Omin__strict))))))) % 54.38/54.68 (assume @p2687 (forall @t3789 (=> @t945 @t3797))) % 54.38/54.68 (assume @p2688 (forall (@list @t3070) (=> (tptp.hBOOL (tptp.hAPP @t3819 @t3070)) (=> (not (= @t3070 @t3817)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3803 (tptp.hAPP @t3818 @t3070)) tptp.c_FunDef_Omax__strict)))))) % 54.38/54.68 (assume @p2689 (forall @t3821 (=> (not (= @t3067 @t3817)) (tptp.hBOOL (tptp.hAPP @t3820 tptp.c_FunDef_Omin__strict))))) % 54.38/54.68 (assume @p2690 (forall @t3816 (=> @t3815 (=> @t3822 (=> (tptp.hBOOL (tptp.hAPP @t3814 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t3813 tptp.c_FunDef_Omin__weak))))))) % 54.38/54.68 (assume @p2691 (forall (@list @t3811 @t125 @t3809 @t176) (=> (tptp.hBOOL (tptp.hAPP @t3808 @t3809)) (=> @t3822 (=> (tptp.hBOOL (tptp.hAPP @t3814 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3803 (tptp.hAPP (tptp.hAPP @t3801 (tptp.hAPP @t3799 @t3811)) @t3809)) tptp.c_FunDef_Omax__weak))))))) % 54.38/54.68 (assume @p2692 (forall @t2897 (=> @t3520 (= (tptp.hAPP (tptp.hAPP @t3743 @t2) @t226) (tptp.hAPP @t509 (tptp.hAPP (tptp.hAPP @t3745 @t3519) @t226)))))) % 54.38/54.68 (assume @p2693 (forall @t3821 (=> (tptp.hBOOL (tptp.hAPP @t3819 @t3067)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3803 (tptp.hAPP @t3818 @t3067)) tptp.c_FunDef_Omax__weak))))) % 54.38/54.68 (assume @p2694 (forall @t3821 (tptp.hBOOL (tptp.hAPP @t3820 tptp.c_FunDef_Omin__weak)))) % 54.38/54.68 (assume @p2695 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t3825 (tptp.c_Wellfounded_Omin__ext @t2254 tptp.c_FunDef_Opair__leq)) @t3824))) % 54.38/54.68 (assume @p2696 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t3825 (tptp.c_Wellfounded_Omax__ext @t2254 tptp.c_FunDef_Opair__leq)) @t3824))) % 54.38/54.68 (assume @p2697 (tptp.c_FunDef_Oreduction__pair @t3800 (tptp.hAPP (tptp.hAPP @t3826 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 54.38/54.68 (assume @p2698 (tptp.c_FunDef_Oreduction__pair @t3800 (tptp.hAPP (tptp.hAPP @t3826 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 54.38/54.68 (assume @p2699 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t2254 tptp.c_FunDef_Opair__less))) % 54.38/54.68 (assume @p2700 (forall (@list @t1225 @t563 @t2186 @t230 @t226 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3692 @t3827)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3691 (tptp.hAPP (tptp.hAPP @t3689 @t563) @t1225)) @t3827)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3691 (tptp.hAPP (tptp.hAPP @t3689 @t2969) (tptp.hAPP @t2962 @t1225))) @t3827)))))) % 54.38/54.68 (assume @p2701 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t2254 tptp.c_FunDef_Opair__less))) % 54.38/54.68 (assume @p2702 (forall (@list @t3828 @t125 @t2186 @t17) (= (tptp.c_Wellfounded_Omax__extp @t17 (tptp.hAPP @t3834 @t2186) @t125 @t3828) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3691 (tptp.hAPP (tptp.hAPP @t3689 @t125) @t3828)) @t3827))))) % 54.38/54.68 (assume @p2703 (forall @t575 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3807 @t2414) tptp.c_Wellfounded_Oless__than)) @t572))) % 54.38/54.68 (assume @p2704 (forall @t3838 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3785 (tptp.hAPP (tptp.hAPP @t3783 @t2414) @t3837)) tptp.c_Int_Ointrel)) (= @t3836 @t3835)))) % 54.38/54.68 (assume @p2705 (forall @t3841 (=> @t3840 (tptp.c_FunDef_Oreduction__pair @t67 (tptp.hAPP (tptp.hAPP @t3839 @t111) @t2))))) % 54.38/54.68 (assume @p2706 (= 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))) % 54.38/54.68 (assume @p2707 (forall (@list @t2186 @t2 @t17) (= @t3578 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t3842 @t17) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t17 tptp.c_Wellfounded_Oless__than @t2186)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t17 @t17 @t3842) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t17 @t3842) @t17) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t17)) @t2)) @t1961))))) % 54.38/54.68 (assume @p2708 (forall @t3853 (= @t3839 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3533 @t3533 @t3849) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3533 @t3852 @t3851) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3850 (tptp.tc_fun @t3852 @t3851) @t3533) (tptp.c_COMBB @t3848 @t3849 @t3533)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3847 @t3850 @t3533) (tptp.c_COMBS @t1244 @t3844 @t3845)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3848 @t3847 @t3533) (tptp.hAPP (tptp.c_COMBB @t3844 @t3846 @t1244) (tptp.c_Product__Type_OPair @t3844 @t3844))) @t3843)))) @t3843))))) % 54.38/54.68 (assume @p2709 (forall @t3796 (=> @t190 (=> @t3854 (=> @t3637 (=> @t3792 (= (tptp.hAPP @t53 (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 @t3151)) (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 @t3791)))))))) % 54.38/54.68 (assume @p2710 (forall @t3796 (=> @t190 (=> @t3795 (=> @t3637 (=> @t3792 (= (tptp.hAPP @t53 @t3636) (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t3791)))))))) % 54.38/54.68 (assume @p2711 (forall @t45 (= @t3555 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t17) tptp.c_Wellfounded_Oless__than)))) % 54.38/54.68 (assume @p2712 (forall (@list @t2 @t1753 @t67 @t176 @t125 @t17) (= (tptp.hBOOL (tptp.hAPP @t3558 @t3856)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3684 (tptp.hAPP (tptp.hAPP @t3682 @t127) @t195)) @t1753))))) % 54.38/54.68 (assume @p2713 (forall @t3796 (=> @t190 (=> @t3854 (=> @t3637 (=> @t3792 (= (tptp.hAPP @t53 @t3670) (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t3791)))))))) % 54.38/54.68 (assume @p2714 (forall @t3796 (=> @t2993 (=> (forall @t287 (= (tptp.hAPP @t53 @t3658) (tptp.hAPP (tptp.hAPP @t2967 @t3794) @t3793))) (=> @t3637 (=> @t3792 (= (tptp.hAPP @t53 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 @t3151)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 @t3791)))))))) % 54.38/54.68 (assume @p2715 (forall @t1756 (= (tptp.c_Relation_Oirrefl @t17 @t1753) @t3857))) % 54.38/54.68 (assume @p2716 (forall @t3862 (= (tptp.hAPP @t3858 (tptp.hAPP (tptp.hAPP @t3861 @t3860) @t1753)) (tptp.hAPP (tptp.hAPP @t2923 @t3261) @t3859)))) % 54.38/54.68 (assume @p2717 (forall @t3871 (=> @t3724 (=> @t3870 (=> @t3869 (=> @t3868 (= @t3865 @t3864))))))) % 54.38/54.68 (assume @p2718 (forall @t45 (= (tptp.hAPP @t3858 @t3535) @t3254))) % 54.38/54.68 (assume @p2719 (forall @t3875 (=> @t3874 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3859) @t3872))))) % 54.38/54.68 (assume @p2720 (forall @t3875 (= (tptp.hAPP @t3858 @t3878) (tptp.hAPP (tptp.hAPP @t2923 @t3859) @t3872)))) % 54.38/54.68 (assume @p2721 (forall @t1756 (=> @t3880 (tptp.hBOOL (tptp.hAPP @t3130 @t3859))))) % 54.38/54.68 (assume @p2722 (forall @t3871 (=> @t3724 (=> @t3870 (=> @t3869 (=> @t3868 (= @t3864 @t3865))))))) % 54.38/54.68 (assume @p2723 (forall @t3871 (=> @t2861 (=> @t3870 (=> @t3869 (=> @t3883 (= @t3882 @t3881))))))) % 54.38/54.68 (assume @p2724 (forall @t3871 (=> @t2861 (=> @t3870 (=> @t3869 (=> @t3883 (= @t3881 @t3882))))))) % 54.38/54.68 (assume @p2725 (forall @t558 (=> @t3172 (= (tptp.hAPP @t3887 @t3886) (tptp.hAPP @t3884 @t2881))))) % 54.38/54.68 (assume @p2726 (forall (@list @t111 @t226 @t17) (=> @t3172 (=> (tptp.hBOOL (tptp.hAPP @t111 @t226)) (=> (forall @t3893 (=> (tptp.hBOOL (tptp.hAPP @t3130 @t3890)) (=> @t3892 (=> (tptp.hBOOL (tptp.hAPP @t111 @t3890)) (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t1221 @t3890) (tptp.hAPP @t3889 @t3254)))))))) @t3888))))) % 54.38/54.68 (assume @p2727 (forall @t3899 (=> @t3898 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 @t3897))))))) % 54.38/54.68 (assume @p2728 (forall @t502 (=> @t234 @t3903))) % 54.38/54.68 (assume @p2729 (forall @t558 (= (tptp.hBOOL (tptp.hAPP @t3904 @t3886)) @t3172))) % 54.38/54.68 (assume @p2730 (forall @t558 (not (exists @t3906 (= (tptp.hAPP (tptp.c_Set_Oimage @t17 @t231 @t3905) @t226) @t3886))))) % 54.38/54.68 (assume @p2731 (forall @t2959 (=> (= @t2826 @t230) (= @t3907 @t3900)))) % 54.38/54.68 (assume @p2732 (forall @t3507 (=> @t3898 @t3908))) % 54.38/54.68 (assume @p2733 (forall @t502 (=> @t3903 @t234))) % 54.38/54.68 (assume @p2734 (forall @t502 (= @t3903 @t234))) % 54.38/54.68 (assume @p2735 (forall @t558 (tptp.hBOOL (tptp.hAPP @t3902 @t3886)))) % 54.38/54.68 (assume @p2736 (forall @t558 (not (= @t3886 @t3909)))) % 54.38/54.68 (assume @p2737 (forall @t3272 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t3254) @t3900)))) % 54.38/54.68 (assume @p2738 (forall @t45 (= (tptp.hAPP @t3885 @t3254) (tptp.hAPP (tptp.hAPP @t3910 @t3254) @t3909)))) % 54.38/54.68 (assume @p2739 (forall @t3217 (= (tptp.hAPP @t3885 @t3210) (tptp.hAPP @t3912 (tptp.hAPP (tptp.c_Set_Oimage @t231 @t231 @t3145) @t3886))))) % 54.38/54.68 (assume @p2740 (forall @t3118 (= (tptp.hAPP @t3885 @t3119) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t67 @t2621) @t226) @t3913)))) % 54.38/54.68 (assume @p2741 (forall @t502 (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2622 @t3886) @t3900))))) % 54.38/54.68 (assume @p2742 (forall @t502 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2622 (tptp.hAPP @t3912 @t3900)) (tptp.hAPP @t3885 @t2952))))) % 54.38/54.68 (assume @p2743 (forall @t3118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2622 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t67 @t2621) @t226) @t3913)) (tptp.hAPP @t3885 @t3094))))) % 54.38/54.68 (assume @p2744 (forall @t3233 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t17 @t3915) @t125)) (tptp.hBOOL (tptp.hAPP @t3914 @t3886))))) % 54.38/54.68 (assume @p2745 (forall @t2851 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t2826) @t230)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2622 @t3907) @t3900))))) % 54.38/54.68 (assume @p2746 (forall @t3359 (=> @t3898 (=> @t3172 (=> @t3350 (= @t3459 @t3458)))))) % 54.38/54.68 (assume @p2747 (forall @t3359 (=> @t3898 (=> @t3172 @t3460)))) % 54.38/54.68 (assume @p2748 (forall @t3899 (=> @t3898 (=> @t3172 (=> @t3644 (=> @t501 @t3916)))))) % 54.38/54.68 (assume @p2749 (forall (@list @t111 @t226 @t3180 @t17) (=> @t3182 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3180) @t226)) (=> @t3888 (=> (forall (@list @t2109 @t3918) (=> @t3921 (=> @t3920 (=> (not (tptp.hBOOL (tptp.hAPP @t3891 @t3918))) (=> @t3919 (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t3889 @t3918)))))))) @t3917)))))) % 54.38/54.68 (assume @p2750 (forall @t3763 (=> (and @t2861 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t67)) (=> @t3172 (=> @t3276 (=> (forall @t7 (=> @t2422 (tptp.hBOOL (tptp.hAPP @t285 @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t196 @t3171) @t3175)))))))) % 54.38/54.68 (assume @p2751 (forall @t575 (= (= (tptp.hAPP @t3922 (tptp.hAPP @t3799 @t3817)) (tptp.hAPP @t3922 (tptp.hAPP @t3810 @t3817))) (tptp.hBOOL (tptp.hAPP @t3805 tptp.c_Int_Ointrel))))) % 54.38/54.68 (assume @p2752 (forall (@list @t230 @t226 @t1945 @t1753 @t17 @t67) (= (tptp.hAPP @t3923 @t3084) (tptp.hAPP @t3083 @t3924)))) % 54.38/54.68 (assume @p2753 (forall (@list @t230 @t226 @t2186 @t17 @t67) (= (tptp.hAPP @t3925 @t2958) (tptp.hAPP @t3928 @t3926)))) % 54.38/54.68 (assume @p2754 (forall @t3929 (= (tptp.hAPP @t3925 @t3265) @t3254))) % 54.38/54.68 (assume @p2755 (forall (@list @t226 @t3932 @t1753 @t3933 @t67 @t17) (=> @t3934 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3932) @t226)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 (tptp.hAPP (tptp.c_Relation_OImage @t17 @t67 @t3933) @t3932)) @t3931)))))) % 54.38/54.68 (assume @p2756 (forall (@list @t226 @t2909 @t2186 @t17 @t67) (= (tptp.hAPP (tptp.c_Relation_OImage @t67 @t17 (tptp.hAPP (tptp.hAPP @t3936 @t2186) @t2909)) @t226) (tptp.hAPP @t3928 (tptp.hAPP (tptp.c_Relation_OImage @t67 @t17 @t2909) @t226))))) % 54.38/54.68 (assume @p2757 (forall (@list @t230 @t226 @t1945 @t1753 @t67 @t17) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3940) @t3937)))) % 54.38/54.68 (assume @p2758 (forall (@list @t1753 @t346 @t67 @t226 @t36 @t17) (=> @t3368 (=> @t3941 (tptp.hBOOL (tptp.hAPP @t3397 @t3931)))))) % 54.38/54.68 (assume @p2759 (forall @t3947 (= @t3946 (exists @t7 (and @t1930 @t3944))))) % 54.38/54.68 (assume @p2760 (forall (@list @t230 @t1753 @t17 @t67) (= (tptp.hAPP @t3923 @t230) (tptp.hAPP @t3102 (tptp.hAPP (tptp.hAPP @t3949 @t3923) @t3948))))) % 54.38/54.68 (assume @p2761 (forall (@list @t36 @t1753 @t67 @t346 @t17) (= (tptp.hBOOL (tptp.hAPP @t3387 @t3952)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3943 @t3951) @t1753))))) % 54.38/54.68 (assume @p2762 (forall (@list @t759 @t31 @t17) (=> @t2103 (= (tptp.hAPP @t591 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3798 (tptp.hAPP (tptp.hAPP @t2210 @t31) @t759)) @t3817)))) (tptp.hAPP (tptp.hAPP @t866 (tptp.hAPP @t266 @t31)) (tptp.hAPP @t266 @t759)))))) % 54.38/54.68 (assume @p2763 (= @t661 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3798 (tptp.hAPP (tptp.hAPP @t2210 @t663) @t56)) @t3817))))) % 54.38/54.68 (assume @p2764 (forall @t3838 (= (tptp.hAPP (tptp.hAPP @t514 @t3956) @t3955) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3798 (tptp.hAPP (tptp.hAPP @t2210 (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t3954 @t952)) (tptp.hAPP @t3953 @t751))) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t3954 @t751)) (tptp.hAPP @t3953 @t952)))) @t3817)))))) % 54.38/54.68 (assume @p2765 (forall @t1310 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t3423) @t125))) % 54.38/54.68 (assume @p2766 (forall @t575 (= (tptp.hAPP @t729 @t3956) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3798 (tptp.hAPP (tptp.hAPP @t2210 @t176) @t125)) @t3817)))))) % 54.38/54.68 (assume @p2767 (= @t511 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3798 (tptp.hAPP @t2251 @t56)) @t3817))))) % 54.38/54.68 (assume @p2768 (forall @t1742 (= @t535 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3798 (tptp.hAPP @t3957 @t56)) @t3817)))))) % 54.38/54.68 (assume @p2769 (forall @t3838 (= (tptp.hAPP (tptp.hAPP @t745 @t3956) @t3955) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3798 (tptp.hAPP (tptp.hAPP @t2210 (tptp.hAPP @t2663 @t952)) (tptp.hAPP @t2661 @t751))) @t3817)))))) % 54.38/54.68 (assume @p2770 (forall @t575 (= (tptp.hAPP tptp.c_Int_Onat @t3956) @t1251))) % 54.38/54.68 (assume @p2771 (forall @t675 (= (tptp.hAPP @t729 @t522) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2254 @t3800) @t3348) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3800) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3960 @t3960 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t3800 @t3800 tptp.tc_Nat_Onat) @t3922)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3800 @t3960) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3959 (tptp.tc_fun @t3800 @t3960) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t3800 @t3800)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2255 @t3959 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t2254 @t3958 tptp.tc_Nat_Onat) @t3798)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2254) @t2210)))) @t3817)))))))) % 54.38/54.68 (assume @p2772 (forall @t3838 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t3956) @t3955)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t3836) @t3835))))) % 54.38/54.68 (assume @p2773 (forall @t3838 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t523 @t3956) @t3955)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t3836) @t3835))))) % 54.38/54.68 (assume @p2774 (forall @t675 (not (forall @t287 (not (= @t522 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3798 @t2440) @t3817))))))))) % 54.38/54.68 (assume @p2775 (forall @t3966 (= @t3965 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t17 @t2621) @t226) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t2621 @t2621) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 @t3963 @t17) @t3910) (tptp.hAPP (tptp.hAPP @t3962 @t3961) @t3316))) @t3909))))) % 54.38/54.68 (assume @p2776 (forall @t3947 (=> @t3946 (not (forall @t7 (=> @t3944 (not @t1930))))))) % 54.38/54.68 (assume @p2777 (forall @t1756 (= (tptp.hAPP (tptp.hAPP @t3964 @t3254) @t1753) @t3909))) % 54.38/54.68 (assume @p2778 (forall @t3966 (= (= @t3909 @t3965) @t3264))) % 54.38/54.68 (assume @p2779 (forall @t3966 (= (= @t3965 @t3909) @t3264))) % 54.38/54.68 (assume @p2780 (forall (@list @t1753 @t226 @t125 @t17) (=> @t3350 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t3967) @t3965))))) % 54.38/54.68 (assume @p2781 (forall @t3969 (= @t3968 (tptp.hAPP (tptp.hAPP @t3910 @t3967) @t3909)))) % 54.38/54.68 (assume @p2782 (forall (@list @t36 @t346 @t1753 @t226 @t17) (=> @t3975 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3974) @t3973)) @t3972)))) % 54.38/54.68 (assume @p2783 (forall (@list @t1753 @t226 @t3067 @t17) (=> @t3977 (not (forall @t7 (=> (= @t3067 (tptp.hAPP @t3961 @t3662)) @t3412)))))) % 54.38/54.68 (assume @p2784 (forall @t558 (= @t3979 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t17 @t3533) @t226) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t3533 @t3533) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3532 (tptp.tc_fun @t3533 @t3533) @t17) @t3861) @t3978)) @t3535))))) % 54.38/54.68 (assume @p2785 (forall @t558 (= @t3979 (tptp.hAPP @t3982 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t17 tptp.tc_HOL_Obool @t231) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3980 (tptp.tc_fun tptp.tc_HOL_Obool @t231) @t17) (tptp.c_COMBC @t17 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t3981 tptp.c_fequal))) @t226))))) % 54.38/54.68 (assume @p2786 (forall @t45 (= (tptp.c_Relation_OId__on @t17 @t3254) @t3535))) % 54.38/54.68 (assume @p2787 (forall @t3427 (=> @t865 (=> @t3368 (tptp.hBOOL (tptp.hAPP @t3970 @t3979)))))) % 54.38/54.68 (assume @p2788 (forall @t3160 (= (tptp.hBOOL (tptp.hAPP @t3558 @t3979)) (and @t177 @t3350)))) % 54.38/54.68 (assume @p2789 (forall @t3983 (=> @t3975 (=> @t3368 (tptp.hBOOL (tptp.hAPP @t3367 @t3973)))))) % 54.38/54.68 (assume @p2790 (forall @t3985 (=> @t3975 (=> @t3971 @t3984)))) % 54.38/54.68 (assume @p2791 (forall @t3991 (=> @t3975 (=> @t3977 (=> @t3990 (=> @t3989 (=> @t3988 (= @t3987 @t3986)))))))) % 54.38/54.68 (assume @p2792 (forall @t3991 (=> @t3975 (=> @t3977 (=> @t3990 (=> @t3989 (=> @t3988 (=> @t3986 @t3987)))))))) % 54.38/54.68 (assume @p2793 (forall (@list @t226 @t346 @t36 @t1753 @t17) (=> @t3984 (=> @t3975 @t3972)))) % 54.38/54.68 (assume @p2794 (forall @t3993 (=> @t3975 (=> @t3350 (=> @t3425 (= @t3992 @t3986)))))) % 54.38/54.68 (assume @p2795 (forall @t3993 (=> @t3975 (= @t3986 (and @t3992 @t3350 @t3425))))) % 54.38/54.68 (assume @p2796 (forall @t3985 (=> @t3975 (=> @t3971 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3973) @t3974)))))) % 54.38/54.68 (assume @p2797 (forall @t3993 (=> @t3975 (=> @t3350 (=> @t3425 (= (= @t3968 (tptp.hAPP (tptp.hAPP @t3964 @t3518) @t1753)) @t3986)))))) % 54.38/54.68 (assume @p2798 (forall (@list @t36 @t2 @t67 @t1753 @t226 @t17) (=> @t3975 (=> @t3994 (=> @t3368 (= (tptp.hAPP (tptp.hAPP @t3072 @t3973) @t2) @t2181)))))) % 54.38/54.68 (assume @p2799 (forall (@list @t3574 @t2105 @t2 @t1945 @t3995 @t4001 @t67 @t3999 @t4002 @t17) (=> @t4005 (=> @t4004 (=> @t4003 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t2105) @t4002)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1928 @t3574) @t4001)) (= (tptp.hAPP (tptp.hAPP @t4000 (tptp.hAPP (tptp.c_Relation_OImage @t17 @t17 @t3999) (tptp.hAPP @t3998 @t3254))) (tptp.hAPP (tptp.hAPP @t3997 (tptp.hAPP @t3086 (tptp.hAPP @t3996 (tptp.hAPP (tptp.hAPP @t3148 @t3574) @t3265)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t2105) @t3574))))))))) % 54.38/54.68 (assume @p2800 (forall (@list @t346 @t36 @t125 @t1753 @t226 @t17) (=> @t3975 (=> (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP (tptp.hAPP @t4006 @t3973) @t3974))) @t3971)))) % 54.38/54.68 (assume @p2801 (forall @t2954 (=> @t4009 (not (=> @t2950 @t2955))))) % 54.38/54.68 (assume @p2802 (forall (@list @t17 @t230 @t125 @t226) (=> @t2950 (=> @t2949 @t4009)))) % 54.38/54.68 (assume @p2803 (forall @t3392 (=> @t4010 (not @t3366)))) % 54.38/54.68 (assume @p2804 (forall @t3392 (=> @t3362 (=> @t3361 @t4010)))) % 54.38/54.68 (assume @p2805 (forall @t3220 (=> (or @t3182 @t3218) (tptp.hBOOL (tptp.hAPP @t3130 (tptp.hAPP (tptp.hAPP @t4006 @t3180) @t21)))))) % 54.38/54.68 (assume @p2806 (forall @t3035 (= (tptp.hAPP (tptp.hAPP @t4006 @t3098) (tptp.hAPP @t4012 @t230)) (tptp.hAPP @t3097 (tptp.hAPP (tptp.hAPP @t3034 @t4012) (tptp.hAPP (tptp.hAPP @t3031 (tptp.hAPP @t3030 @t4011)) @t230)))))) % 54.38/54.68 (assume @p2807 (forall @t3027 (= @t4014 @t4013))) % 54.38/54.68 (assume @p2808 (forall @t1941 (= (tptp.hAPP @t4015 @t3098) (tptp.hAPP @t3097 (tptp.hAPP (tptp.hAPP @t3017 @t4015) @t226))))) % 54.38/54.68 (assume @p2809 (forall @t3026 (= @t4017 @t4016))) % 54.38/54.68 (assume @p2810 (forall @t3019 (= @t4013 @t4014))) % 54.38/54.68 (assume @p2811 (forall @t3019 (= @t4016 @t4017))) % 54.38/54.68 (assume @p2812 (forall @t502 (= (tptp.hAPP @t3885 @t4008) (tptp.hAPP (tptp.hAPP @t4018 @t3886) @t3900)))) % 54.38/54.68 (assume @p2813 (forall @t2833 (=> @t2896 (=> @t2899 (tptp.c_Nat__Transfer_Onat__set @t4020))))) % 54.38/54.68 (assume @p2814 (forall @t2297 (=> @t4025 (=> @t2305 @t4024)))) % 54.38/54.68 (assume @p2815 (forall @t2295 (=> @t4025 (=> @t2306 @t4024)))) % 54.38/54.68 (assume @p2816 (forall @t2954 (=> @t4009 @t2949))) % 54.38/54.68 (assume @p2817 (forall @t2954 (=> @t4009 @t2950))) % 54.38/54.68 (assume @p2818 (forall @t78 (=> @t2985 @t4027))) % 54.38/54.68 (assume @p2819 (forall @t2994 (=> @t2993 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1244) @t2) @t1) @t125) (tptp.hAPP (tptp.hAPP @t4028 @t127) @t126))))) % 54.38/54.68 (assume @p2820 (forall @t146 (=> @t4025 @t4033))) % 54.38/54.68 (assume @p2821 (forall @t146 (=> @t2985 @t4033))) % 54.38/54.68 (assume @p2822 (forall @t162 (=> @t4025 (= (tptp.hAPP (tptp.hAPP @t4021 @t4023) @t150) @t4035)))) % 54.38/54.68 (assume @p2823 (forall @t146 (=> @t4025 @t4037))) % 54.38/54.68 (assume @p2824 (forall @t146 (=> @t2985 @t4037))) % 54.38/54.68 (assume @p2825 (forall @t157 (=> @t4025 (= (tptp.hAPP @t4034 (tptp.hAPP @t4022 @t150)) @t4035)))) % 54.38/54.68 (assume @p2826 (forall @t121 (=> @t4025 @t4038))) % 54.38/54.68 (assume @p2827 (forall @t121 (=> @t2985 @t4038))) % 54.38/54.68 (assume @p2828 (forall @t174 (=> @t4025 (= (tptp.hAPP @t4022 @t4023) @t4023)))) % 54.38/54.68 (assume @p2829 (forall @t121 (=> @t4025 @t4040))) % 54.38/54.68 (assume @p2830 (forall @t121 (=> @t2985 @t4040))) % 54.38/54.68 (assume @p2831 (forall @t174 (=> @t4025 (= @t4023 (tptp.hAPP @t4034 @t149))))) % 54.38/54.68 (assume @p2832 (forall @t78 (=> @t4025 @t4027))) % 54.38/54.68 (assume @p2833 (forall @t344 (=> @t4025 (= (tptp.hAPP @t4022 @t149) @t149)))) % 54.38/54.68 (assume @p2834 (forall @t566 (= (tptp.hAPP (tptp.hAPP @t4006 @t4008) @t563) @t4042))) % 54.38/54.68 (assume @p2835 (forall @t566 (= @t4042 (tptp.hAPP @t4015 @t4043)))) % 54.38/54.68 (assume @p2836 (forall @t502 (= (tptp.hAPP @t4007 @t4008) @t4008))) % 54.38/54.68 (assume @p2837 (forall @t502 (= @t4008 @t4044))) % 54.38/54.68 (assume @p2838 (forall @t558 (= (tptp.hAPP @t4007 @t226) @t226))) % 54.38/54.68 (assume @p2839 (forall @t45 (=> (and @t4045 @t190) (= @t4028 @t2286)))) % 54.38/54.68 (assume @p2840 (forall @t3004 (= @t4047 (tptp.hAPP @t4046 @t230)))) % 54.38/54.68 (assume @p2841 (forall @t566 (= (tptp.hAPP @t4048 @t563) @t4047))) % 54.38/54.68 (assume @p2842 (forall @t566 (= (tptp.hAPP (tptp.hAPP @t1221 @t4008) @t563) (tptp.hAPP @t4007 @t2960)))) % 54.38/54.68 (assume @p2843 (forall @t4051 (= (tptp.hAPP @t4049 @t1223) (tptp.hAPP (tptp.hAPP @t1221 @t4050) (tptp.hAPP @t4049 @t230))))) % 54.38/54.68 (assume @p2844 (forall @t2300 (=> @t4025 (=> @t4052 @t2302)))) % 54.38/54.68 (assume @p2845 (forall @t1552 (=> @t4025 (=> @t159 (=> @t2301 (tptp.hBOOL (tptp.hAPP @t4053 (tptp.hAPP (tptp.hAPP @t4021 @t150) @t407)))))))) % 54.38/54.68 (assume @p2846 (forall @t146 (=> @t4025 (=> @t124 (=> @t144 (tptp.hBOOL (tptp.hAPP @t76 @t4030))))))) % 54.38/54.68 (assume @p2847 (forall @t2300 (=> @t4025 (=> @t1178 (=> @t2299 @t4052))))) % 54.38/54.68 (assume @p2848 (forall @t140 (=> @t4025 (=> @t123 (= @t4032 @t27))))) % 54.38/54.68 (assume @p2849 (forall @t121 (=> @t4025 (=> @t124 (= @t4032 @t28))))) % 54.38/54.68 (assume @p2850 (forall @t2297 (=> @t4025 (=> @t2296 @t4054)))) % 54.38/54.68 (assume @p2851 (forall @t2295 (=> @t4025 (=> @t2294 @t4054)))) % 54.38/54.68 (assume @p2852 (forall @t2291 (=> @t4045 (= (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t4028 @t176) @t522))) @t2290)))) % 54.38/54.68 (assume @p2853 (forall @t191 (=> @t4045 (= @t179 (= @t4056 @t125))))) % 54.38/54.68 (assume @p2854 (forall @t121 (=> @t4025 @t4058))) % 54.38/54.68 (assume @p2855 (forall @t121 (=> @t2985 @t4058))) % 54.38/54.68 (assume @p2856 (forall @t121 (=> @t4025 @t4059))) % 54.38/54.68 (assume @p2857 (forall @t121 (=> @t2985 @t4059))) % 54.38/54.68 (assume @p2858 (forall @t502 (tptp.hBOOL (tptp.hAPP @t4060 @t226)))) % 54.38/54.68 (assume @p2859 (forall @t502 (tptp.hBOOL (tptp.hAPP @t4060 @t230)))) % 54.38/54.68 (assume @p2860 (forall @t502 (=> @t234 (= @t4008 @t226)))) % 54.38/54.68 (assume @p2861 (forall @t2965 (=> @t501 (= @t4008 @t230)))) % 54.38/54.68 (assume @p2862 (forall @t4051 (=> @t4061 (=> (tptp.hBOOL (tptp.hAPP @t3164 @t230)) (tptp.hBOOL (tptp.hAPP @t3164 @t4008)))))) % 54.38/54.68 (assume @p2863 (forall @t3007 (=> @t568 (=> @t3006 (tptp.hBOOL (tptp.hAPP @t4060 (tptp.hAPP @t4049 @t1225))))))) % 54.38/54.68 (assume @p2864 (forall @t3106 (= (tptp.hAPP @t1939 @t4062) (tptp.hAPP (tptp.hAPP @t4006 @t1940) (tptp.hAPP @t1939 @t230))))) % 54.38/54.68 (assume @p2865 (forall @t3455 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4006 @t3431) @t3430) @t125)) (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP (tptp.hAPP @t4006 @t2186) @t2909)))))) % 54.38/54.68 (assume @p2866 (forall @t3392 (=> @t4010 @t3361))) % 54.38/54.68 (assume @p2867 (forall @t3392 (=> @t4010 @t3362))) % 54.38/54.68 (assume @p2868 (forall @t3392 (= @t4010 (and @t3362 @t3361)))) % 54.38/54.68 (assume @p2869 (forall @t1827 (=> @t4063 (= (tptp.hAPP (tptp.hAPP @t2974 @t4030) @t28) (tptp.hAPP (tptp.hAPP @t4021 @t2982) (tptp.hAPP (tptp.hAPP @t2974 @t134) @t28)))))) % 54.38/54.68 (assume @p2870 (forall @t1827 (=> @t4063 (= (tptp.hAPP (tptp.hAPP @t4021 @t2989) @t28) (tptp.hAPP (tptp.hAPP @t2974 @t4039) (tptp.hAPP (tptp.hAPP @t4021 @t134) @t28)))))) % 54.38/54.68 (assume @p2871 (forall @t146 (=> @t4063 (= @t4065 @t4064)))) % 54.38/54.68 (assume @p2872 (forall @t146 (=> @t4063 (= @t4067 @t4066)))) % 54.38/54.68 (assume @p2873 (forall @t121 (=> @t2985 (= (tptp.hAPP @t2977 @t4032) @t28)))) % 54.38/54.68 (assume @p2874 (forall @t121 (=> @t2985 (= (tptp.hAPP @t4026 @t2983) @t28)))) % 54.38/54.68 (assume @p2875 (forall @t566 (= (tptp.hAPP (tptp.hAPP @t2923 (tptp.hAPP @t4070 @t4041)) @t4050) (tptp.hAPP (tptp.hAPP @t4006 (tptp.hAPP @t4069 @t2970)) @t4068)))) % 54.38/54.68 (assume @p2876 (forall @t4071 (= (tptp.hAPP (tptp.hAPP @t2923 @t4041) @t226) (tptp.hAPP (tptp.hAPP @t4006 @t2963) @t4068)))) % 54.38/54.68 (assume @p2877 (forall @t4071 (= (tptp.hAPP (tptp.hAPP @t4006 @t2970) @t226) (tptp.hAPP (tptp.hAPP @t2923 @t4044) @t4050)))) % 54.38/54.68 (assume @p2878 (forall @t566 (= (tptp.hAPP @t2951 @t4041) (tptp.hAPP @t4069 @t2969)))) % 54.38/54.68 (assume @p2879 (forall @t566 (= @t4072 (tptp.hAPP @t4070 @t4043)))) % 54.38/54.68 (assume @p2880 (forall @t3272 (= (tptp.hAPP (tptp.hAPP @t4006 @t3254) @t230) @t3254))) % 54.38/54.68 (assume @p2881 (forall @t558 (= (tptp.hAPP @t4007 @t3254) @t3254))) % 54.38/54.68 (assume @p2882 (forall @t502 (= @t4073 (forall @t7 (=> @t2422 (forall @t2793 (=> (tptp.hBOOL (tptp.hAPP @t3093 @t230)) @t3195))))))) % 54.38/54.68 (assume @p2883 (forall @t78 (=> @t3285 (= (tptp.hAPP (tptp.hAPP @t4021 @t3273) @t28) @t3273)))) % 54.38/54.68 (assume @p2884 (forall @t78 (=> @t3285 (= (tptp.hAPP @t4026 @t3273) @t3273)))) % 54.38/54.68 (assume @p2885 (forall @t4075 (= (tptp.hAPP (tptp.hAPP @t4006 @t3210) @t3146) @t4074))) % 54.38/54.68 (assume @p2886 (forall @t146 (=> @t2985 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t4065) @t4064))))) % 54.38/54.68 (assume @p2887 (forall @t146 (=> @t2985 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t4066) @t4067))))) % 54.38/54.68 (assume @p2888 (forall @t78 (=> @t1246 (= (tptp.hAPP @t4076 @t28) @t3273)))) % 54.38/54.68 (assume @p2889 (forall @t78 (=> @t1246 (= (tptp.hAPP @t4026 @t1121) @t3273)))) % 54.38/54.68 (assume @p2890 (forall @t121 (=> @t1246 (= @t822 (tptp.hAPP @t4026 @t819))))) % 54.38/54.68 (assume @p2891 (forall @t121 (=> @t1246 (= (tptp.hAPP @t818 @t2983) (tptp.hAPP @t4076 @t819))))) % 54.38/54.68 (assume @p2892 (forall @t121 (=> @t1246 (= (tptp.hAPP @t818 @t4032) (tptp.hAPP @t4077 @t819))))) % 54.38/54.68 (assume @p2893 (forall @t4075 (and @t4080 @t4079))) % 54.38/54.68 (assume @p2894 (forall @t4085 (and @t4084 @t4083))) % 54.38/54.68 (assume @p2895 (forall @t4075 @t4079)) % 54.38/54.68 (assume @p2896 (forall @t4085 @t4083)) % 54.38/54.68 (assume @p2897 (forall @t4075 @t4080)) % 54.38/54.68 (assume @p2898 (forall @t4085 @t4084)) % 54.38/54.68 (assume @p2899 (forall @t2959 (=> (and @t4089 @t4045) (=> @t68 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 (tptp.hAPP @t2 (tptp.hAPP @t4088 @t230))) @t4087)))))) % 54.38/54.68 (assume @p2900 (forall @t2851 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP @t2825 @t4092)) (tptp.hAPP (tptp.hAPP @t4006 @t2826) @t2850))))) % 54.38/54.68 (assume @p2901 (forall @t502 (=> @t4073 (= @t1223 @t226)))) % 54.38/54.68 (assume @p2902 (forall @t502 (= (tptp.hAPP @t4007 @t2964) @t3254))) % 54.38/54.68 (assume @p2903 (forall @t566 (= (= (tptp.hAPP @t4070 @t563) @t4072) @t4061))) % 54.38/54.68 (assume @p2904 (forall @t502 (= (tptp.hAPP @t4093 @t4008) @t226))) % 54.38/54.68 (assume @p2905 (forall @t566 (= (tptp.hAPP @t1222 @t2970) (tptp.hAPP @t4048 @t2961)))) % 54.38/54.68 (assume @p2906 (forall @t566 (= (tptp.hAPP @t1222 @t4041) (tptp.hAPP @t4093 @t2961)))) % 54.38/54.68 (assume @p2907 (forall @t2928 (=> @t50 (= (tptp.hAPP @t4094 @t3039) @t3254)))) % 54.38/54.68 (assume @p2908 (forall @t2833 (= (tptp.hAPP (tptp.hAPP @t4095 @t226) @t230) (tptp.hAPP @t2884 (tptp.hAPP (tptp.hAPP @t4019 @t2829) @t2828))))) % 54.38/54.68 (assume @p2909 (forall @t558 (= (tptp.hAPP @t4007 @t1220) @t3254))) % 54.38/54.68 (assume @p2910 (forall @t558 (= (tptp.hAPP @t4096 @t226) @t3254))) % 54.38/54.68 (assume @p2911 (forall @t4099 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t4098) @t4097)))) % 54.38/54.68 (assume @p2912 (forall @t502 (= (tptp.hAPP @t1218 @t4008) (tptp.hAPP @t3046 @t1219)))) % 54.38/54.68 (assume @p2913 (forall @t502 (= (tptp.hAPP @t1218 @t2952) (tptp.hAPP @t4096 @t1219)))) % 54.38/54.68 (assume @p2914 (forall @t502 (= (tptp.hAPP @t1222 @t1219) @t4008))) % 54.38/54.68 (assume @p2915 (forall @t502 (= @t1223 (tptp.hAPP @t4007 @t1219)))) % 54.38/54.68 (assume @p2916 (forall @t2928 (=> @t50 (= (tptp.hAPP @t4100 @t3043) @t3254)))) % 54.38/54.68 (assume @p2917 (forall @t2851 (=> @t3010 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 (tptp.hAPP @t2 @t4008)) (tptp.hAPP (tptp.hAPP @t4090 @t3009) @t3008)))))) % 54.38/54.68 (assume @p2918 (forall @t502 (= (tptp.hAPP (tptp.c_Relation_OImage @t17 @t17 @t3979) @t230) @t4008))) % 54.38/54.68 (assume @p2919 (forall @t3490 (=> @t3489 (= (tptp.hAPP (tptp.hAPP @t4090 @t3488) @t3203) @t3203)))) % 54.38/54.68 (assume @p2920 (forall @t3322 (and (=> @t3311 (= @t4104 @t230)) (=> @t3312 (= @t4104 @t4102))))) % 54.38/54.68 (assume @p2921 (forall @t3322 (and (=> @t3311 (= @t4106 @t226)) (=> @t3312 (= @t4106 @t4105))))) % 54.38/54.68 (assume @p2922 (forall @t3186 (= (tptp.hAPP (tptp.hAPP @t1938 @t3185) @t230) (tptp.hAPP (tptp.hAPP @t4006 @t3184) @t3119)))) % 54.38/54.68 (assume @p2923 (forall @t3103 (= (tptp.hAPP (tptp.hAPP @t1938 @t2958) @t1942) (tptp.hAPP (tptp.hAPP @t4006 (tptp.hAPP @t2845 @t1942)) (tptp.hAPP (tptp.hAPP @t1938 @t230) @t1942))))) % 54.38/54.68 (assume @p2924 (forall @t2833 (=> @t2896 (=> @t2899 (= @t4020 (tptp.hAPP @t2813 (tptp.hAPP (tptp.hAPP @t4095 @t2892) @t2898))))))) % 54.38/54.68 (assume @p2925 (forall (@list @t36 @t2 @t3995 @t1945 @t67 @t3999 @t226 @t17) (=> (tptp.c_Equiv__Relations_Oequiv @t17 @t226 @t3999) (=> @t4107 (=> @t3368 (tptp.c_Equiv__Relations_Ocongruent @t67 @t1945 @t3995 @t2181)))))) % 54.38/54.68 (assume @p2926 (forall @t3212 (=> @t2993 (=> @t3172 (=> @t3368 (= (tptp.hAPP @t4108 @t3621) @t36)))))) % 54.38/54.68 (assume @p2927 (forall @t2959 (=> (and @t4089 @t190) (=> @t68 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2286 @t226) @t230))) @t4087)))))) % 54.38/54.68 (assume @p2928 (forall @t502 (= @t4073 (tptp.hBOOL (tptp.hAPP @t233 @t1219))))) % 54.38/54.68 (assume @p2929 (forall @t2928 (=> @t50 (= (tptp.hAPP @t4094 @t2921) @t3254)))) % 54.38/54.68 (assume @p2930 (forall (@list @t111 @t2 @t17) (=> @t1933 (=> @t3139 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t4028 @t3598) @t111))) @t111)) (tptp.hBOOL (tptp.hAPP @t3599 @t111))))))) % 54.38/54.68 (assume @p2931 (forall (@list @t111 @t2 @t226 @t17) (=> @t1933 (=> (= @t226 @t3598) (=> @t3139 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.hAPP @t2 (tptp.hAPP @t4088 @t111))) @t111)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t226) @t111)))))))) % 54.38/54.68 (assume @p2932 (forall @t870 (=> @t190 (= (tptp.hAPP @t4112 @t2738) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t4111 @t4110))))) % 54.38/54.68 (assume @p2933 (forall @t870 (=> @t190 (= (tptp.hAPP (tptp.hAPP @t4006 @t2730) @t2729) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t17 @t4111) @t4110))))) % 54.38/54.68 (assume @p2934 (forall @t3053 (=> @t50 (= (tptp.hAPP @t4113 @t3048) @t3254)))) % 54.38/54.68 (assume @p2935 (forall @t3053 (=> @t50 (= (tptp.hAPP @t4113 @t2930) @t3254)))) % 54.38/54.68 (assume @p2936 (forall @t2928 (=> @t50 (= (tptp.hAPP @t4114 @t3043) @t3254)))) % 54.38/54.68 (assume @p2937 (forall @t2928 (=> @t50 (= (tptp.hAPP @t4115 @t2921) @t3254)))) % 54.38/54.68 (assume @p2938 (forall @t2928 (=> @t50 (= (tptp.hAPP @t4114 @t2931) @t3254)))) % 54.38/54.68 (assume @p2939 (forall @t870 (=> @t190 (= (tptp.hAPP (tptp.hAPP @t4006 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t17 @t36 @t346)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t17 @t55 @t863)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t17 @t4111 @t4110))))) % 54.38/54.68 (assume @p2940 (forall @t2928 (=> @t50 (= (tptp.hAPP @t4115 @t3039) @t3254)))) % 54.38/54.68 (assume @p2941 (forall @t870 (=> @t190 (= (tptp.hAPP (tptp.hAPP @t4006 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t17 @t36 @t346)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t17 @t55 @t863)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t17 @t4111 @t4110))))) % 54.38/54.68 (assume @p2942 (forall (@list @t863 @t55 @t346 @t17) (=> @t190 (= (tptp.hAPP (tptp.hAPP @t4006 (tptp.hAPP @t2903 @t346)) @t2738) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t55 @t4110))))) % 54.38/54.68 (assume @p2943 (forall (@list @t863 @t346 @t36 @t17) (=> @t190 (= (tptp.hAPP @t4112 (tptp.hAPP @t2903 @t863)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t36 @t4110))))) % 54.38/54.68 (assume @p2944 (forall @t3053 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t4006 @t2930) @t3062) @t3254)))) % 54.38/54.68 (assume @p2945 (forall @t3053 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t4006 @t3048) @t3058) @t3254)))) % 54.38/54.68 (assume @p2946 (forall (@list @t863 @t55 @t36 @t17) (=> @t190 (= (tptp.hAPP (tptp.hAPP @t4006 (tptp.hAPP @t3061 @t36)) @t2738) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t4111 @t863))))) % 54.38/54.68 (assume @p2947 (forall @t881 (=> @t190 (= (tptp.hAPP @t4112 (tptp.hAPP @t3061 @t55)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t17 @t4111 @t346))))) % 54.38/54.68 (assume @p2948 (forall @t3053 (=> @t50 (= (tptp.hAPP @t4116 @t2920) @t3254)))) % 54.38/54.68 (assume @p2949 (forall @t3053 (=> @t50 (= (tptp.hAPP @t4116 @t3059) @t3254)))) % 54.38/54.68 (assume @p2950 (forall @t2928 (=> @t50 (= (tptp.hAPP @t4100 @t2931) @t3254)))) % 54.38/54.68 (assume @p2951 (forall @t3053 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t4006 @t3059) @t3062) @t3254)))) % 54.38/54.68 (assume @p2952 (forall @t3053 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t4006 @t2920) @t3058) @t3254)))) % 54.38/54.68 (assume @p2953 (forall @t4118 (=> @t3564 (=> @t3563 (=> @t3224 (= (tptp.hAPP (tptp.hAPP @t2 @t4117) (tptp.hAPP @t3180 @t4092)) @t3895)))))) % 54.38/54.68 (assume @p2954 (forall @t4121 (=> @t2861 (=> @t3172 (=> @t3131 (= (tptp.hAPP (tptp.hAPP @t3187 @t4120) (tptp.hAPP @t2859 @t4008)) @t4119)))))) % 54.38/54.68 (assume @p2955 (forall @t4121 (=> @t3724 (=> @t3172 (=> @t3131 (= (tptp.hAPP (tptp.hAPP @t3605 @t4124) (tptp.hAPP @t3755 @t4008)) @t4123)))))) % 54.38/54.68 (assume @p2956 (forall @t502 (=> @t3172 (=> @t3131 (= @t4128 @t4125))))) % 54.38/54.68 (assume @p2957 (forall @t502 (=> @t3172 (=> @t3131 (= @t4125 @t4128))))) % 54.38/54.68 (assume @p2958 (forall @t502 (=> (tptp.hBOOL (tptp.hAPP @t3130 @t4008)) (= @t3207 (tptp.hAPP @t3208 @t4126))))) % 54.38/54.68 (assume @p2959 (forall @t4132 (=> @t2861 (=> @t3172 (= @t4131 @t4130))))) % 54.38/54.68 (assume @p2960 (forall (@list @t3070 @t3067 @t1753 @t226 @t17) (=> @t3975 (=> @t3977 (=> @t3990 (or @t3987 (= (tptp.hAPP (tptp.hAPP @t4006 @t3067) @t3070) @t3254))))))) % 54.38/54.68 (assume @p2961 (forall @t271 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t4006 (tptp.hAPP @t2903 @t33)) (tptp.hAPP @t3061 @t33)) (tptp.hAPP (tptp.hAPP @t3144 @t33) @t3254))))) % 54.38/54.68 (assume @p2962 (forall @t4118 (=> @t3564 (=> @t3563 (=> @t3224 (=> (= @t4092 @t3265) @t4133)))))) % 54.38/54.68 (assume @p2963 (forall @t3899 (=> @t3358 (=> @t3172 (=> @t3131 (=> @t4135 (= (tptp.hAPP (tptp.hAPP @t2 @t3896) @t4134) @t3895))))))) % 54.38/54.68 (assume @p2964 (forall @t3899 (=> @t3358 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (=> @t4073 @t3897)))))))) % 54.38/54.68 (assume @p2965 (forall (@list @t2 @t1753 @t67 @t17) (= @t4142 (forall @t7 (=> @t4141 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3982 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t130 @t231) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2423 @t4139 @t17) @t4138) @t4137)) @t2)) @t3))))))) % 54.38/54.68 (assume @p2966 (forall @t4121 (=> @t2861 (=> @t3172 (=> @t3131 (=> @t4073 @t4143)))))) % 54.38/54.68 (assume @p2967 (forall @t236 (=> @t3202 (=> @t3172 (=> @t3131 (= (tptp.hAPP @t2860 @t2952) (tptp.hAPP (tptp.hAPP @t3200 (tptp.hAPP (tptp.hAPP @t3187 @t3171) @t3199)) @t4131))))))) % 54.38/54.68 (assume @p2968 (forall @t4121 (=> @t3724 (=> @t3172 (=> @t3131 (=> @t4073 @t4144)))))) % 54.38/54.68 (assume @p2969 (forall @t502 (=> @t3172 (=> @t3131 (=> @t4073 @t4145))))) % 54.38/54.68 (assume @p2970 (forall @t502 (=> @t2993 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (=> @t4073 @t3649)))))))) % 54.38/54.68 (assume @p2971 (forall @t502 (=> @t2993 (=> @t3172 (=> @t3131 (=> @t4135 (= (tptp.hAPP (tptp.hAPP @t2967 @t3648) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 @t4008)) @t3647))))))) % 54.38/54.68 (assume @p2972 (forall @t502 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (=> @t4073 @t3676)))))))) % 54.38/54.68 (assume @p2973 (forall @t502 (=> @t190 (=> @t3172 (=> @t3131 (=> @t4135 (= (tptp.hAPP (tptp.hAPP @t2286 @t3675) (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t4008)) @t3674))))))) % 54.38/54.68 (assume @p2974 (forall @t502 (=> @t190 (=> @t3172 (=> @t3131 (=> @t4135 (= (tptp.hAPP (tptp.hAPP @t2357 @t3652) (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t4008)) @t3651))))))) % 54.38/54.68 (assume @p2975 (forall @t502 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (=> @t4073 @t3653)))))))) % 54.38/54.68 (assume @p2976 (forall @t502 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (=> @t4073 @t3715)))))))) % 54.38/54.68 (assume @p2977 (forall @t502 (=> @t190 (=> @t3172 (=> @t3131 (=> @t4135 (= (tptp.hAPP (tptp.hAPP @t2286 @t3714) (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 @t4008)) @t3713))))))) % 54.38/54.68 (assume @p2978 (forall @t502 (=> @t190 (=> @t3172 (=> @t3131 (=> @t4135 (= (tptp.hAPP (tptp.hAPP @t2357 @t3701) (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 @t4008)) @t3700))))))) % 54.38/54.68 (assume @p2979 (forall @t502 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (=> @t4073 @t3702)))))))) % 54.38/54.68 (assume @p2980 (forall (@list @t4146 @t4148 @t4147 @t4149 @t2 @t3995 @t3999 @t1945 @t67 @t17) (=> @t4107 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP @t3539 @t4149) @t4147)) @t3999)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3684 (tptp.hAPP (tptp.hAPP @t3682 @t4148) @t4146)) @t3995)) (= (tptp.hAPP (tptp.hAPP @t2 @t4149) @t4148) (tptp.hAPP (tptp.hAPP @t2 @t4147) @t4146))))))) % 54.38/54.68 (assume @p2981 (forall (@list @t2 @t230 @t226 @t17) (=> @t3172 (=> @t3131 (= (tptp.hAPP @t2754 @t2952) (tptp.hAPP (tptp.hAPP @t740 (tptp.hAPP (tptp.hAPP @t760 @t2755) @t3128)) (tptp.hAPP @t2754 @t4008))))))) % 54.38/54.68 (assume @p2982 (forall (@list @t522 @t176 @t2 @t1753 @t67 @t17) (=> @t4142 (=> (tptp.hBOOL (tptp.hAPP @t4151 @t1753)) (= @t195 @t3734))))) % 54.38/54.68 (assume @p2983 (forall (@list @t36 @t2 @t1945 @t3995 @t4001 @t67 @t3999 @t4002 @t17) (=> @t4005 (=> @t4004 (=> @t4003 (=> (tptp.hBOOL (tptp.hAPP @t3403 @t4001)) (tptp.c_Equiv__Relations_Ocongruent @t17 @t2187 @t3999 (tptp.hAPP (tptp.hAPP @t3997 (tptp.hAPP @t3086 (tptp.hAPP @t3996 @t3313))) @t2)))))))) % 54.38/54.68 (assume @p2984 (forall (@list @t3070 @t3067 @t2 @t67 @t1753 @t226 @t17) (=> @t3975 (=> @t3994 (=> (= @t4158 (tptp.hAPP (tptp.hAPP @t3072 @t3070) @t2)) (=> @t3977 (=> @t3990 (=> (forall @t7 (=> @t2422 (forall @t4157 (=> @t4156 (=> @t4154 @t4153))))) @t3987)))))))) % 54.38/54.68 (assume @p2985 (forall (@list @t230 @t4159 @t4160 @t2 @t1945 @t3995 @t4001 @t67 @t3999 @t4002 @t17) (=> @t4005 (=> @t4004 (=> @t4003 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t4160) (tptp.hAPP (tptp.hAPP @t3964 @t4002) @t3999))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4163 @t4159) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t67) @t4001) @t3995))) (=> (forall @t686 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t684) @t4002)) (forall (@list @t4162) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1928 @t4162) @t4001)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4161 (tptp.hAPP (tptp.hAPP @t2 @t684) @t4162)) @t230)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4161 (tptp.hAPP (tptp.hAPP @t4000 @t4160) (tptp.hAPP (tptp.hAPP @t3997 (tptp.hAPP @t3086 @t4159)) @t2))) @t230)))))))))) % 54.38/54.68 (assume @p2986 (forall (@list @t230 @t3067 @t2 @t67 @t1753 @t226 @t17) (=> @t3975 (=> @t3994 (=> @t3977 (=> (forall @t7 (=> @t2422 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4163 @t5) @t230)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4163 @t4158) @t230)))))))) % 54.38/54.68 (assume @p2987 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t2267)) % 54.38/54.68 (assume @p2988 (forall @t3452 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4165 @t3447) @t3446) @t125) @t176)) (tptp.hBOOL (tptp.hAPP @t3450 (tptp.hAPP (tptp.hAPP @t4164 @t2186) @t2909)))))) % 54.38/54.68 (assume @p2989 (forall @t502 (=> @t3172 (=> @t3131 (=> (=> (exists @t7 @t4167) @t4166) @t4145))))) % 54.38/54.68 (assume @p2990 (forall @t236 (=> @t3777 (=> @t3172 (=> @t3131 (=> (forall @t7 (=> @t4167 (not @t3748))) (= (tptp.hAPP @t3750 @t2952) (tptp.hAPP (tptp.hAPP @t3761 (tptp.hAPP (tptp.hAPP @t3605 @t3751) @t3769)) (tptp.hAPP @t3750 @t4008))))))))) % 54.38/54.68 (assume @p2991 (forall @t4171 (=> @t3724 (=> @t3500 (=> @t3870 (=> @t4170 (= (tptp.hAPP @t3750 @t4168) (tptp.hAPP (tptp.hAPP @t3605 @t3865) @t3864)))))))) % 54.38/54.68 (assume @p2992 (forall @t3530 (=> @t4172 (not (=> @t3528 @t3531))))) % 54.38/54.68 (assume @p2993 (forall (@list @t67 @t17 @t230 @t176 @t125 @t226) (=> @t3528 (=> @t3527 @t4172)))) % 54.38/54.68 (assume @p2994 (forall @t3530 (=> @t4172 @t3527))) % 54.38/54.68 (assume @p2995 (forall @t3530 (=> @t4172 @t3528))) % 54.38/54.68 (assume @p2996 (forall @t4121 (=> @t3724 (=> @t3172 (=> @t3131 (=> (forall @t7 (=> @t4167 (= @t4 @t3754))) @t4144)))))) % 54.38/54.68 (assume @p2997 (forall @t4171 (=> @t2861 (=> @t3500 (=> @t3870 (=> (forall @t7 (=> @t4169 @t3748)) (= (tptp.hAPP @t2860 @t4168) (tptp.hAPP (tptp.hAPP @t3187 @t3882) @t3881)))))))) % 54.38/54.68 (assume @p2998 (forall @t4121 (=> @t2861 (=> @t3172 (=> @t3131 (=> (forall @t7 (=> @t4167 (= @t4 @t3170))) @t4143)))))) % 54.38/54.68 (assume @p2999 (forall @t3966 (= @t4178 (and (forall @t7 (=> @t4141 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3982 (tptp.hAPP @t4177 @t3915)) @t3)))) @t4173)))) % 54.38/54.68 (assume @p3000 (forall @t3233 (=> @t2993 (=> @t3172 (=> @t3350 (and (=> @t3356 (= @t4180 @t125)) (=> @t3357 (= @t4180 @t4179)))))))) % 54.38/54.68 (assume @p3001 (forall (@list @t359 @t1753 @t226 @t17) (=> @t3172 (=> @t3975 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4181 @t3965)) (tptp.hBOOL (tptp.hAPP @t2598 (tptp.hAPP @t2880 @t3))))) (tptp.hBOOL (tptp.hAPP @t2598 @t2881))))))) % 54.38/54.68 (assume @p3002 (forall @t558 (tptp.c_Relation_Orefl__on @t17 @t226 @t3979))) % 54.38/54.68 (assume @p3003 (forall @t282 (=> @t2993 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 @t3255) @t125)))) % 54.38/54.68 (assume @p3004 (forall @t45 (tptp.c_Relation_Orefl__on @t17 @t3254 @t3535))) % 54.38/54.68 (assume @p3005 (forall @t4183 (=> @t4178 (=> @t4182 (tptp.c_Relation_Orefl__on @t17 @t2952 @t3878))))) % 54.38/54.68 (assume @p3006 (forall @t4183 (=> @t4178 (=> @t4182 (tptp.c_Relation_Orefl__on @t17 @t4008 @t4186))))) % 54.38/54.68 (assume @p3007 (forall @t3212 (=> @t2993 (=> @t3172 (=> @t3368 (= (tptp.hAPP @t4187 @t4180) @t36)))))) % 54.38/54.68 (assume @p3008 (forall @t3233 (=> @t2993 (=> @t3172 (=> @t3350 (= @t4188 @t4180)))))) % 54.38/54.68 (assume @p3009 (forall @t3983 (=> @t4178 (=> @t3368 @t4190)))) % 54.38/54.68 (assume @p3010 (forall @t3993 (=> @t4178 (=> @t3986 @t3350)))) % 54.38/54.68 (assume @p3011 (forall @t3993 (=> @t4178 (=> @t3986 @t3425)))) % 54.38/54.68 (assume @p3012 (forall @t3233 (=> @t2993 (=> @t3172 @t4192)))) % 54.38/54.68 (assume @p3013 (forall @t502 (=> @t2993 (=> @t3172 (=> @t3644 (=> @t501 (= (tptp.hAPP (tptp.hAPP @t4028 @t4193) @t4180) @t4180))))))) % 54.38/54.68 (assume @p3014 (forall @t502 (=> @t2993 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 @t4196))))))) % 54.38/54.68 (assume @p3015 (forall @t558 (=> @t2993 (=> @t3172 (=> @t3276 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t4180) @t3621))))))) % 54.38/54.68 (assume @p3016 (forall @t3233 (=> @t2993 (=> @t3172 (=> @t3352 @t4192))))) % 54.38/54.68 (assume @p3017 (forall @t3233 (=> @t2993 (=> @t3172 (and (=> @t3356 (= @t4191 @t125)) (=> @t3357 (= @t4191 @t4179))))))) % 54.38/54.68 (assume @p3018 (forall @t502 (=> @t2993 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (=> @t4073 @t4196)))))))) % 54.38/54.68 (assume @p3019 (forall @t502 (=> @t2993 (=> @t3172 (=> @t3131 (=> @t4135 (= (tptp.hAPP (tptp.hAPP @t4028 @t4195) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 @t4008)) @t4194))))))) % 54.38/54.68 (assume @p3020 (forall @t558 (=> @t2993 (=> @t3172 (=> @t3276 (=> (forall @t287 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t4197) @t3655))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t4180) @t226)))))))) % 54.38/54.68 (assume @p3021 (forall @t3966 (=> @t3172 (=> @t4198 (= (tptp.hAPP @t3887 @t3965) @t2881))))) % 54.38/54.68 (assume @p3022 (forall @t3396 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 @t55) @t3979)) (not (forall @t7 (=> @t2422 (not (= @t55 @t3541)))))))) % 54.38/54.68 (assume @p3023 (forall @t3288 (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t3254))) % 54.38/54.68 (assume @p3024 (forall @t558 (=> @t968 (tptp.c_Fun_Oinj__on @t17 @t17 @t839 @t226)))) % 54.38/54.68 (assume @p3025 (forall @t2851 (=> @t4200 (=> @t4199 (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t4008))))) % 54.38/54.68 (assume @p3026 (forall @t4202 (=> @t4200 (=> @t203 (=> @t3350 (=> @t3425 @t4201)))))) % 54.38/54.68 (assume @p3027 (forall @t4202 (=> @t4200 (=> @t3350 (=> @t3425 @t202))))) % 54.38/54.68 (assume @p3028 (forall @t4202 (=> @t4200 (=> @t201 (=> @t3350 (=> @t3425 @t177)))))) % 54.38/54.68 (assume @p3029 (forall @t4203 (=> @t4199 (=> @t234 @t4200)))) % 54.38/54.68 (assume @p3030 (forall @t3267 (=> @t200 (=> @t69 @t4200)))) % 54.38/54.68 (assume @p3031 (forall @t2851 (=> @t4200 (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t1223)))) % 54.38/54.68 (assume @p3032 (forall @t558 (tptp.c_Fun_Oinj__on @t17 @t17 @t1961 @t226))) % 54.38/54.68 (assume @p3033 (forall @t2670 (= @t4200 (forall @t7 (=> @t2422 (forall @t2793 (=> @t3196 (=> (= @t5 @t3193) @t3194)))))))) % 54.38/54.68 (assume @p3034 (forall @t2670 (=> (tptp.hBOOL (tptp.hAPP @t3130 @t2826)) (=> @t4204 @t3563)))) % 54.38/54.68 (assume @p3035 (forall @t2851 (=> @t4206 @t4205))) % 54.38/54.68 (assume @p3036 (forall @t2670 (=> @t4200 @t4207))) % 54.38/54.68 (assume @p3037 (forall @t4203 (=> @t4199 (=> @t561 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t2423) @t2819) @t2818)))))) % 54.38/54.68 (assume @p3038 (forall @t2897 (=> @t3172 (=> (tptp.hBOOL (tptp.hAPP @t233 @t4210)) @t4208)))) % 54.38/54.68 (assume @p3039 (forall @t2897 (=> @t3172 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t4210) @t226)) (=> @t4208 (= @t4210 @t226)))))) % 54.38/54.68 (assume @p3040 (forall @t4213 (=> @t4212 (=> @t568 (=> @t565 @t4211))))) % 54.38/54.68 (assume @p3041 (forall @t3235 (=> @t3172 (=> @t4207 @t4200)))) % 54.38/54.68 (assume @p3042 (forall @t3235 (=> @t3172 (= @t4200 @t4207)))) % 54.38/54.68 (assume @p3043 (forall @t4213 (=> @t4212 (=> @t568 (=> @t565 @t4215))))) % 54.38/54.68 (assume @p3044 (forall @t2670 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t2880 @t2826)) @t2887)) (not @t4204)))) % 54.38/54.68 (assume @p3045 (forall (@list @t125 @t176 @t226 @t2 @t67 @t17) (=> @t4200 (=> (not @t4217) (tptp.c_Fun_Oinj__on @t17 @t67 @t3717 @t226))))) % 54.38/54.68 (assume @p3046 (forall (@list @t1 @t230 @t226 @t2 @t67 @t17) (=> @t4200 (=> @t4219 (=> (tptp.c_Fun_Oinj__on @t67 @t17 @t1 @t230) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP @t4218 @t230)) @t226)) (=> @t3172 (=> @t3224 (= @t2881 @t3251))))))))) % 54.38/54.68 (assume @p3047 (forall @t4221 (= (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t3210) (and @t4200 (not (tptp.hBOOL (tptp.hAPP @t4220 (tptp.hAPP @t2817 @t3291)))))))) % 54.38/54.68 (assume @p3048 (forall @t2851 (= @t4206 (and @t4200 @t4199 (= (tptp.hAPP (tptp.hAPP @t4090 @t4214) (tptp.hAPP @t2817 @t2964)) @t3265))))) % 54.38/54.68 (assume @p3049 (forall @t3223 (=> @t3172 (=> @t3224 (= (exists @t3906 (and @t4224 (tptp.hBOOL (tptp.hAPP @t4223 @t230)))) @t4222))))) % 54.38/54.68 (assume @p3050 (forall @t2851 (=> @t4200 (=> @t4219 (=> @t3224 @t4222))))) % 54.38/54.68 (assume @p3051 (forall (@list @t36 @t226 @t1753 @t17) (=> @t4198 (=> @t3368 (= (tptp.hAPP (tptp.hAPP @t3964 @t3291) @t1753) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t2621) @t3965) (tptp.hAPP (tptp.hAPP @t3964 @t3262) @t1753))))))) % 54.38/54.68 (assume @p3052 (forall (@list @t3932 @t67 @t17 @t226) (=> @t3276 (= (exists @t3906 (and @t4224 (tptp.hBOOL (tptp.hAPP @t4223 @t3932)))) (exists (@list @t4225) (= (tptp.hAPP (tptp.c_Set_Oimage @t67 @t17 @t4225) @t3932) @t226)))))) % 54.38/54.68 (assume @p3053 (forall (@list @t759 @t230 @t226 @t1945 @t563 @t2 @t67 @t17) (=> @t4212 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3409 @t3) @t226)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t2417) @t563)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3409 @t759) @t226)) (= (tptp.hAPP @t2817 (tptp.hAPP @t2840 @t230)) (tptp.hAPP @t3938 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 @t2423 @t1945) @t2817) @t230)))))))) % 54.38/54.68 (assume @p3054 (forall (@list @t230 @t125 @t226 @t2 @t67 @t17) (=> @t4200 (=> (tptp.hBOOL (tptp.hAPP @t3388 @t2819)) (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t4227) @t230))))))) % 54.38/54.68 (assume @p3055 (forall @t3154 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t3151))) % 54.38/54.68 (assume @p3056 (forall (@list @t3151 @t359) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2745 @t3151))) % 54.38/54.68 (assume @p3057 (forall @t2689 (tptp.c_Fun_Oinj__on @t2172 @t2395 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t67 @t2395) @t4228) @t226))) % 54.38/54.68 (assume @p3058 (forall @t4202 (=> @t4200 (=> @t3730 (=> @t3350 (= @t4229 @t125)))))) % 54.38/54.68 (assume @p3059 (forall @t4230 (=> @t4200 (=> @t3350 (= (tptp.hAPP @t4226 @t127) @t125))))) % 54.38/54.68 (assume @p3060 (forall @t2670 (=> @t4200 (tptp.c_Fun_Oinj__on @t67 @t17 @t4226 @t2819)))) % 54.38/54.68 (assume @p3061 (forall @t2670 (=> @t4200 (= (tptp.hAPP (tptp.c_Set_Oimage @t67 @t17 @t4226) @t2819) @t226)))) % 54.38/54.68 (assume @p3062 (forall (@list @t125 @t2 @t226 @t67 @t17) (= @t4227 (tptp.c_HOL_OThe @t17 (tptp.hAPP @t4234 (tptp.hAPP @t4232 @t125)))))) % 54.38/54.68 (assume @p3063 (forall (@list @t176 @t226 @t2 @t67 @t17) (=> @t4200 (=> @t4217 (= (tptp.hAPP @t2 @t4229) @t176))))) % 54.38/54.68 (assume @p3064 (forall @t4121 (=> @t3724 (=> @t3172 (=> @t3131 (=> @t4073 (= @t4241 @t4240))))))) % 54.38/54.68 (assume @p3065 (forall @t3796 (=> @t2993 (=> (forall @t287 (= (tptp.hAPP @t53 @t4197) (tptp.hAPP (tptp.hAPP @t4028 @t3794) @t3793))) (=> @t3637 (=> @t3792 (= (tptp.hAPP @t53 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 @t3151)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 @t3791)))))))) % 54.38/54.68 (assume @p3066 (forall @t2919 (=> @t2855 (=> @t499 (=> @t2899 (=> @t2918 (= @t3758 (tptp.hAPP (tptp.hAPP @t3726 @t1) @t230)))))))) % 54.38/54.68 (assume @p3067 (forall (@list @t522 @t1 @t2 @t67 @t17) (= (tptp.hAPP @t4243 @t3265) @t522))) % 54.38/54.68 (assume @p3068 (forall (@list @t226 @t3180 @t1 @t522 @t2 @t67 @t17) (=> @t3564 (=> @t3563 (= @t3458 @t4244))))) % 54.38/54.68 (assume @p3069 (forall @t3192 (=> @t3724 (=> @t3172 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4235 @t3760) @t3754) @t226) (tptp.hAPP @t4239 (tptp.hAPP (tptp.hAPP @t4245 @t3754) @t226))))))) % 54.38/54.68 (assume @p3070 (forall (@list @t522 @t1 @t36 @t226 @t17 @t67) (=> @t4248 (=> @t3172 (=> @t3369 (= (tptp.hAPP @t4246 @t3210) (tptp.hAPP (tptp.hAPP @t3605 @t3464) @t4247))))))) % 54.38/54.68 (assume @p3071 (forall @t3177 (=> @t2861 @t4249))) % 54.38/54.68 (assume @p3072 (forall @t3177 (=> @t2861 (and @t4249 @t3176)))) % 54.38/54.68 (assume @p3073 (forall @t3177 (=> @t3724 (and @t4250 @t3757)))) % 54.38/54.68 (assume @p3074 (forall @t3177 (=> @t3724 @t4250))) % 54.38/54.68 (assume @p3075 (forall @t4121 (=> @t3724 (=> @t3172 (=> @t3131 (= @t4240 (tptp.hAPP (tptp.hAPP @t3605 @t4241) (tptp.hAPP @t4237 @t4008)))))))) % 54.38/54.68 (assume @p3076 (forall @t3235 (=> @t3172 (= @t2819 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t2423 @t17 @t2956) (tptp.hAPP (tptp.hAPP @t2485 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t67 @t2483 @t17) @t3148) @t2)) @t3265)) @t3265) @t226))))) % 54.38/54.68 (assume @p3077 (forall @t558 @t4251)) % 54.38/54.68 (assume @p3078 (forall @t558 (and @t4251 @t3229))) % 54.38/54.68 (assume @p3079 (forall @t4257 (=> @t4256 (and @t4255 @t4254)))) % 54.38/54.68 (assume @p3080 (forall @t4171 (=> @t3724 (=> @t3500 (=> @t3870 (=> @t4170 (= (tptp.hAPP @t4258 @t4168) (tptp.hAPP (tptp.hAPP @t3605 @t4259) (tptp.hAPP @t4258 @t3863))))))))) % 54.38/54.68 (assume @p3081 (forall (@list @t36 @t125 @t226 @t346 @t17) (=> @t4262 (=> (tptp.hBOOL (tptp.hAPP @t4261 @t125)) (=> @t3368 (=> @t4260 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t17 @t17 @t349 @t36 (tptp.hAPP @t3162 @t3291)) @t125)))))))) % 54.38/54.68 (assume @p3082 (forall (@list @t125 @t226 @t522 @t2 @t67 @t17) (=> @t4264 @t3172))) % 54.38/54.68 (assume @p3083 (forall @t3573 (tptp.hBOOL (tptp.hAPP @t4265 @t522)))) % 54.38/54.68 (assume @p3084 (forall (@list @t125 @t522 @t2 @t67 @t17) (=> (tptp.hBOOL (tptp.hAPP @t4265 @t125)) @t4266))) % 54.38/54.68 (assume @p3085 (forall @t3567 (=> @t3352 (=> @t4268 (tptp.hBOOL (tptp.hAPP @t4267 @t3566)))))) % 54.38/54.68 (assume @p3086 (forall (@list @t522 @t176 @t226 @t346 @t17) (=> @t4262 (=> (tptp.hBOOL (tptp.hAPP @t4261 @t176)) (=> @t4260 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t17 @t17 @t349 @t522 @t3378) (tptp.hAPP @t2030 @t176)))))))) % 54.38/54.68 (assume @p3087 (forall @t4257 (=> @t4256 @t4254))) % 54.38/54.68 (assume @p3088 (forall @t4269 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t17 @t67 @t2 @t522 @t3256) @t176)) (=> @t3350 (tptp.hBOOL (tptp.hAPP @t4263 @t3566)))))) % 54.38/54.68 (assume @p3089 (forall (@list @t125 @t226 @t36 @t2 @t17) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t17 @t17 @t2 @t36 @t226) @t125)) (=> @t3369 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t17 @t2 @t3210) @t125)))))) % 54.38/54.68 (assume @p3090 (forall @t121 (=> @t1246 (=> (= @t4032 @t3273) (=> (= @t2983 @t4270) (= @t1121 @t27)))))) % 54.38/54.68 (assume @p3091 (forall @t4274 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t17 @t4273) @t125)) @t4272))) % 54.38/54.68 (assume @p3092 (forall @t282 (tptp.hBOOL (tptp.hAPP @t3349 @t4275)))) % 54.38/54.68 (assume @p3093 (forall @t558 (= (tptp.hAPP @t4007 @t4275) @t226))) % 54.38/54.68 (assume @p3094 (forall @t3272 (= (tptp.hAPP (tptp.hAPP @t4006 @t4275) @t230) @t230))) % 54.38/54.68 (assume @p3095 (forall @t78 (=> @t4276 (= (tptp.hAPP (tptp.hAPP @t4021 @t4270) @t28) @t28)))) % 54.38/54.68 (assume @p3096 (forall @t78 (=> @t4276 (= (tptp.hAPP @t4026 @t4270) @t28)))) % 54.38/54.68 (assume @p3097 (forall @t191 (=> (tptp.class_Lattices_Obounded__lattice__top @t17) (= (= @t4056 @t4277) (and (= @t125 @t4277) (= @t176 @t4277)))))) % 54.38/54.68 (assume @p3098 (forall @t45 (not (= @t4275 @t3254)))) % 54.38/54.68 (assume @p3099 (forall @t3272 (= (tptp.hAPP (tptp.hAPP @t2923 @t4275) @t230) @t4275))) % 54.38/54.68 (assume @p3100 (forall @t558 (= (tptp.hAPP @t2951 @t4275) @t4275))) % 54.38/54.68 (assume @p3101 (forall (@list @t1 @t2 @t1945 @t17 @t67) (= (tptp.hAPP (tptp.c_Set_Oimage @t67 @t17 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1945 @t17 @t67) @t2) @t1)) @t4278) (tptp.hAPP @t4280 (tptp.hAPP @t4279 @t4278))))) % 54.38/54.68 (assume @p3102 (forall @t3118 (= (= @t4275 @t3119) @t4281))) % 54.38/54.68 (assume @p3103 (forall @t3284 (= (= @t3119 @t4275) @t4281))) % 54.38/54.68 (assume @p3104 (forall @t3853 (=> @t4285 (=> @t4284 (tptp.hBOOL (tptp.hAPP @t4283 @t4282)))))) % 54.38/54.68 (assume @p3105 (forall @t3853 (=> @t4287 @t4284))) % 54.38/54.68 (assume @p3106 (forall @t3853 (= (tptp.hBOOL (tptp.hAPP @t3286 @t4288)) (and @t4285 @t4284)))) % 54.38/54.68 (assume @p3107 (forall @t45 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t2525) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t2525 tptp.tc_HOL_Obool)))) @t4285))) % 54.38/54.68 (assume @p3108 (forall @t45 (=> @t3216 @t4285))) % 54.38/54.68 (assume @p3109 (not (tptp.hBOOL (tptp.hAPP @t3141 @t4289)))) % 54.38/54.68 (assume @p3110 (not (tptp.hBOOL (tptp.hAPP @t3142 (tptp.c_Orderings_Otop__class_Otop @t2130))))) % 54.38/54.68 (assume @p3111 (forall @t558 (tptp.hBOOL (tptp.hAPP @t233 @t4275)))) % 54.38/54.68 (assume @p3112 (forall @t3853 (= (tptp.c_Sum__Type_OPlus @t17 @t67 @t4275 @t4278) @t4288))) % 54.38/54.68 (assume @p3113 (forall @t3270 (=> (tptp.class_Orderings_Otop @t17) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t1244) @t125) @t4277)))) % 54.38/54.68 (assume @p3114 (forall @t78 (=> (tptp.class_Orderings_Otop @t10) (tptp.hBOOL (tptp.hAPP @t76 @t4270))))) % 54.38/54.68 (assume @p3115 (= (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))) @t663)) % 54.38/54.68 (assume @p3116 (forall @t45 (= (tptp.hAPP @t3885 @t4275) @t4290))) % 54.38/54.68 (assume @p3117 (tptp.c_Equiv__Relations_Oequiv @t2254 @t4291 tptp.c_Int_Ointrel)) % 54.38/54.68 (assume @p3118 (= (tptp.hAPP @t4292 @t2657) @t4289)) % 54.38/54.68 (assume @p3119 (forall @t78 (=> @t4276 (= (tptp.hAPP @t2977 @t4270) @t4270)))) % 54.38/54.68 (assume @p3120 (forall @t78 (=> @t4276 (= (tptp.hAPP (tptp.hAPP @t2974 @t4270) @t28) @t4270)))) % 54.38/54.68 (assume @p3121 (= (tptp.hAPP @t4292 @t2900) @t4289)) % 54.38/54.68 (assume @p3122 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t509 @t4289)) % 54.38/54.68 (assume @p3123 (forall @t3731 (=> @t4293 (=> @t201 @t177)))) % 54.38/54.68 (assume @p3124 (forall @t3731 (=> @t4293 @t202))) % 54.38/54.68 (assume @p3125 (forall (@list @t125 @t2 @t17) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t17 @t2 @t3254) @t125))))) % 54.38/54.68 (assume @p3126 (forall (@list @t125 @t226 @t2 @t17) (=> (tptp.hBOOL (tptp.hAPP @t4294 @t125)) @t3276))) % 54.38/54.68 (assume @p3127 (forall (@list @t67 @t17 @t125 @t2 @t346) (=> @t3390 (tptp.hBOOL (tptp.hAPP @t3387 @t4295))))) % 54.38/54.68 (assume @p3128 (forall (@list @t67 @t125 @t2 @t17) (tptp.hBOOL (tptp.hAPP @t4296 @t4295)))) % 54.38/54.68 (assume @p3129 (= (tptp.hAPP @t4292 @t3113) @t4289)) % 54.38/54.68 (assume @p3130 (forall @t558 (= (tptp.hAPP @t1222 @t4275) @t3254))) % 54.38/54.68 (assume @p3131 (forall @t558 (=> @t4285 (=> (= @t2881 @t4297) (= @t226 @t4275))))) % 54.38/54.68 (assume @p3132 (forall @t2851 (=> @t4293 @t4205))) % 54.38/54.68 (assume @p3133 (forall @t45 (= (tptp.hAPP @t1218 @t4275) @t3254))) % 54.38/54.68 (assume @p3134 (forall @t45 (= (tptp.hAPP @t1218 @t3254) @t4275))) % 54.38/54.68 (assume @p3135 (forall @t558 (=> @t3172 (= (tptp.hBOOL (tptp.hAPP @t3130 @t1220)) @t4285)))) % 54.38/54.68 (assume @p3136 (forall @t558 (= (tptp.hAPP @t3046 @t226) @t4275))) % 54.38/54.68 (assume @p3137 (forall @t558 (= (tptp.hAPP @t2951 @t1220) @t4275))) % 54.38/54.68 (assume @p3138 (forall @t558 (= @t1220 (tptp.hAPP (tptp.hAPP @t1221 @t4275) @t226)))) % 54.38/54.68 (assume @p3139 (forall @t575 (=> (tptp.hBOOL (tptp.hAPP @t3420 @t4289)) (=> @t4299 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t125) @t4298) @t177))))) % 54.38/54.68 (assume @p3140 (forall @t4302 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4300 @t4301) @t125)) (tptp.hBOOL (tptp.hAPP @t3388 (tptp.hAPP @t4300 @t1753)))))) % 54.38/54.68 (assume @p3141 (forall (@list @t2 @t1945 @t1 @t67 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3130 (tptp.hAPP @t4218 @t4278))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t1945) (tptp.hAPP (tptp.c_Set_Oimage @t67 @t1945 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t1945 @t67) @t2) @t1)) @t4278)))))) % 54.38/54.68 (assume @p3142 (forall @t1310 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2771 @t2513) @t4289)))) % 54.38/54.68 (assume @p3143 (forall @t3725 (=> @t4293 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t17 @t67 @t4275 @t2) @t127) @t125)))) % 54.38/54.68 (assume @p3144 (forall @t4302 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4303 @t4301) @t125)) (tptp.hBOOL (tptp.hAPP @t3388 (tptp.hAPP @t4303 @t1753)))))) % 54.38/54.68 (assume @p3145 (forall (@list @t230 @t17 @t67) (= (tptp.hAPP (tptp.hAPP @t1938 @t3265) @t230) @t4275))) % 54.38/54.68 (assume @p3146 (forall @t3283 (and (=> @t3264 (= @t4304 @t4278)) (=> @t3276 (= @t4304 @t55))))) % 54.38/54.68 (assume @p3147 (forall @t3853 (=> @t4287 (=> (not (= (tptp.hAPP @t2886 @t4278) @t221)) @t4285)))) % 54.38/54.68 (assume @p3148 (forall @t45 (=> @t328 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t17 @t266 @t4289)))) % 54.38/54.68 (assume @p3149 (= (tptp.hAPP @t3113 @t56) @t4289)) % 54.38/54.68 (assume @p3150 (forall @t2090 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 @t2086) @t2087)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.c_Wellfounded_Oacc @t17 @t2087)) (tptp.c_Wellfounded_Oacc @t17 @t2086)))))) % 54.38/54.68 (assume @p3151 (forall (@list @t1945 @t2 @t67 @t17) (=> @t4293 (tptp.c_Fun_Oinj__on @t17 @t4305 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t67 @t4305 @t17) (tptp.c_COMBK @t67 @t1945)) @t2) @t4275)))) % 54.38/54.68 (assume @p3152 (forall @t478 (=> @t1246 (= (tptp.hAPP @t818 @t4270) @t3273)))) % 54.38/54.68 (assume @p3153 (forall @t478 (=> @t1246 (= (tptp.hAPP @t818 @t3273) @t4270)))) % 54.38/54.68 (assume @p3154 (forall @t78 (=> @t1246 (= (tptp.hAPP @t2977 @t1121) @t4270)))) % 54.38/54.68 (assume @p3155 (forall @t78 (=> @t1246 (= (tptp.hAPP @t4077 @t28) @t4270)))) % 54.38/54.68 (assume @p3156 (forall @t4221 (=> @t4293 (= (tptp.hBOOL (tptp.hAPP @t4220 @t2819)) @t3368)))) % 54.38/54.68 (assume @p3157 (forall (@list @t346 @t2 @t67 @t17) (=> @t4293 (= (tptp.hBOOL (tptp.hAPP @t3397 (tptp.hAPP @t2817 @t4275))) (exists @t7 (and (= @t346 @t5) (forall @t4157 (=> (= @t346 @t284) @t4306)))))))) % 54.38/54.68 (assume @p3158 (forall @t51 (=> @t4285 (=> @t4308 @t4307)))) % 54.38/54.68 (assume @p3159 (forall @t51 (=> @t4285 (=> @t4307 @t4308)))) % 54.38/54.68 (assume @p3160 (forall @t2851 (=> @t4293 (= @t2822 @t234)))) % 54.38/54.68 (assume @p3161 (forall @t2851 (=> @t4293 @t4211))) % 54.38/54.68 (assume @p3162 (forall @t2851 (=> @t4293 @t4215))) % 54.38/54.68 (assume @p3163 (forall @t3267 (=> @t4311 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP @t1218 @t2826)) (tptp.hAPP @t2825 @t4310)))))) % 54.38/54.68 (assume @p3164 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t1986) @t4289) @t3111) @t3236)) % 54.38/54.68 (assume @p3165 (forall @t3322 (and (=> @t3311 (= @t4102 @t4278)) (=> @t3312 (= @t4102 @t4104))))) % 54.38/54.68 (assume @p3166 (forall @t3322 (and (=> @t3311 (= @t4105 @t4278)) (=> @t3312 (= @t4105 @t4106))))) % 54.38/54.68 (assume @p3167 (forall @t3322 (and (=> @t3311 (= @t4314 (tptp.hAPP (tptp.hAPP @t2847 @t4278) @t230))) (=> @t3312 (= @t4314 @t4313))))) % 54.38/54.68 (assume @p3168 (forall @t3322 (and (=> @t3311 (= @t4313 @t4278)) (=> @t3312 (= @t4313 @t4314))))) % 54.38/54.68 (assume @p3169 (forall @t4315 (=> @t4299 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t4298) @t176)))) % 54.38/54.68 (assume @p3170 (forall (@list @t346 @t36 @t2 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t17 @t2 @t3262) @t346)) @t865))) % 54.38/54.68 (assume @p3171 (forall (@list @t36 @t1753 @t346 @t17) (=> @t4317 (=> @t3971 @t4316)))) % 54.38/54.68 (assume @p3172 (forall @t4319 (= @t4316 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t3540 @t36)) @t1753)) @t4318))))) % 54.38/54.68 (assume @p3173 (forall @t558 (= (tptp.hAPP @t4320 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4322 @t231) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1986 (tptp.tc_fun @t4322 @t231) tptp.tc_Nat_Onat) @t3065) @t2718)) @t226)) @t4321))) % 54.38/54.68 (assume @p3174 (forall @t45 (tptp.c_Fun_Oinj__on @t17 @t231 @t3316 @t4275))) % 54.38/54.68 (assume @p3175 (forall @t4331 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3373 @t4275) @t4330) @t125) @t176)) (tptp.hBOOL (tptp.hAPP @t4325 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t17 @t4323) @t4275) @t1753)))))) % 54.38/54.68 (assume @p3176 (forall @t45 (=> @t4285 (tptp.hBOOL (tptp.hAPP @t81 @t4297))))) % 54.38/54.68 (assume @p3177 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t1991)) @t1689)) % 54.38/54.68 (assume @p3178 (forall @t2670 (=> @t4293 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 (tptp.hAPP @t2817 @t1220)) (tptp.hAPP @t4309 @t2819)))))) % 54.38/54.68 (assume @p3179 (forall @t3322 (and (=> @t3311 (= @t3327 @t4278)) (=> @t3312 (= @t3327 @t3328))))) % 54.38/54.68 (assume @p3180 (= (tptp.hAPP @t3111 @t56) (tptp.hAPP @t2872 @t4289))) % 54.38/54.68 (assume @p3181 (forall @t4331 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3376 @t4275) @t4330) @t125) @t176)) (tptp.hBOOL (tptp.hAPP @t4325 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t17 @t4323) @t4275) @t1753)))))) % 54.38/54.68 (assume @p3182 (forall @t4337 (=> (forall @t22 (tptp.hBOOL (tptp.hAPP @t4336 @t4334))) (tptp.hBOOL (tptp.hAPP @t4333 @t4332))))) % 54.38/54.68 (assume @p3183 (forall @t4337 (=> (forall @t22 (= @t4335 @t4334)) (= @t4321 @t4332)))) % 54.38/54.68 (assume @p3184 (forall @t4338 (=> (forall @t22 (tptp.hBOOL (tptp.hAPP @t4336 @t563))) (tptp.hBOOL (tptp.hAPP @t4333 @t563))))) % 54.38/54.68 (assume @p3185 (forall @t282 (tptp.hBOOL (tptp.hAPP @t4275 @t125)))) % 54.38/54.68 (assume @p3186 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t2254) @t4291) tptp.c_Int_Ointrel))) % 54.38/54.68 (assume @p3187 (forall @t558 (= (tptp.c_Equiv__Relations_Oequiv @t17 @t4275 @t226) (tptp.c_Equiv__Relations_Oequivp @t17 (tptp.hAPP @t3834 @t226))))) % 54.38/54.68 (assume @p3188 (forall @t45 (tptp.c_Equiv__Relations_Oequivp @t17 tptp.c_fequal))) % 54.38/54.68 (assume @p3189 (forall @t4344 (= @t4343 (forall @t287 (= @t4342 @t4341))))) % 54.38/54.68 (assume @p3190 (forall (@list @t125 @t2186 @t17) (=> @t4343 (tptp.hBOOL (tptp.hAPP @t3705 @t125))))) % 54.38/54.68 (assume @p3191 (forall @t4348 (=> @t4343 @t4347))) % 54.38/54.68 (assume @p3192 (forall @t4350 (=> @t4343 @t4349))) % 54.38/54.68 (assume @p3193 (forall @t1310 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4351 @t3423) tptp.c_Int_OInteg)))) % 54.38/54.68 (assume @p3194 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t3800 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 54.38/54.68 (assume @p3195 (forall @t4354 (=> @t4293 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t4353) (tptp.hAPP (tptp.hAPP @t3144 (tptp.c_HOL_OThe @t17 (tptp.hAPP @t4232 @t36))) @t3254)))))) % 54.38/54.68 (assume @p3196 (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 @t4289)) % 54.38/54.68 (assume @p3197 (forall (@list @t67 @t230 @t17 @t346 @t36 @t2) (=> @t4357 (=> (tptp.hBOOL (tptp.hAPP @t3387 @t230)) (tptp.hBOOL (tptp.hAPP @t3403 @t4356)))))) % 54.38/54.68 (assume @p3198 (forall @t4230 (= (tptp.hBOOL (tptp.hAPP @t4358 @t125)) (tptp.hBOOL (tptp.hAPP @t226 @t127))))) % 54.38/54.68 (assume @p3199 (forall @t2670 (= (tptp.hAPP @t4352 @t4310) (tptp.hAPP @t1218 @t4358)))) % 54.38/54.68 (assume @p3200 (forall @t3071 (= (tptp.hAPP (tptp.c_Set_Ovimage @t17 @t17 @t1961) @t3070) @t3070))) % 54.38/54.68 (assume @p3201 (forall @t2823 (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 @t4359) @t4356))))) % 54.38/54.68 (assume @p3202 (forall (@list @t67 @t226 @t36 @t2 @t17) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t2181) @t226)) (tptp.hBOOL (tptp.hAPP @t3403 @t4359))))) % 54.38/54.68 (assume @p3203 (forall (@list @t226 @t2 @t67 @t36 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3367 @t4358)) (tptp.hBOOL (tptp.hAPP @t4220 @t226))))) % 54.38/54.68 (assume @p3204 (forall (@list @t230 @t2 @t67 @t36 @t17) (= (tptp.hBOOL (tptp.hAPP @t3367 @t4360)) (tptp.hBOOL (tptp.hAPP @t4220 @t230))))) % 54.38/54.68 (assume @p3205 (forall @t2851 (= (tptp.hAPP @t4352 @t2958) (tptp.hAPP (tptp.hAPP @t2923 @t4358) @t4360)))) % 54.38/54.68 (assume @p3206 (forall @t3288 (= (tptp.hAPP @t4352 @t3265) @t3254))) % 54.38/54.68 (assume @p3207 (forall @t2851 (= (tptp.hAPP @t4352 @t4092) (tptp.hAPP (tptp.hAPP @t4006 @t4358) @t4360)))) % 54.38/54.68 (assume @p3208 (forall @t2851 (= (tptp.hAPP @t4352 @t2849) (tptp.hAPP (tptp.hAPP @t1221 @t4358) @t4360)))) % 54.38/54.68 (assume @p3209 (forall @t4362 (= (tptp.hAPP @t4352 @t3939) (tptp.hAPP @t2840 @t4361)))) % 54.38/54.68 (assume @p3210 (forall @t4362 (= (tptp.hAPP @t4352 @t3084) (tptp.hAPP @t3083 @t4361)))) % 54.38/54.68 (assume @p3211 (forall @t3288 (= (tptp.hAPP @t4352 @t4278) @t4275))) % 54.38/54.68 (assume @p3212 (forall @t2670 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t4363) @t226)))) % 54.38/54.68 (assume @p3213 (forall @t3267 (=> @t4311 (= @t4363 @t226)))) % 54.38/54.68 (assume @p3214 (forall (@list @t346 @t2 @t67 @t36 @t17) (= (tptp.hBOOL (tptp.hAPP @t3367 (tptp.hAPP @t4352 (tptp.hAPP @t4364 @t3265)))) @t4357))) % 54.38/54.68 (assume @p3215 (forall (@list @t230 @t36 @t2 @t67 @t17) (= (tptp.hAPP @t4352 @t3150) (tptp.hAPP (tptp.hAPP @t2923 @t4353) @t4360)))) % 54.38/54.68 (assume @p3216 (forall (@list @t3180 @t53 @t67 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3130 (tptp.hAPP (tptp.c_Set_Ovimage @t17 @t67 @t53) @t3180))) (=> (= (tptp.hAPP @t3213 @t4275) @t4278) (tptp.hBOOL (tptp.hAPP @t3204 @t3180)))))) % 54.38/54.68 (assume @p3217 (forall (@list @t226 @t230 @t2 @t17 @t67) (=> @t4311 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 @t4356) @t226)) @t2827)))) % 54.38/54.68 (assume @p3218 (forall @t3267 (= @t4363 (tptp.hAPP @t4007 @t4295)))) % 54.38/54.68 (assume @p3219 (forall @t3214 (=> @t3182 (=> (tptp.c_Fun_Oinj__on @t67 @t17 @t53 @t4278) (tptp.hBOOL (tptp.hAPP @t3204 (tptp.hAPP (tptp.c_Set_Ovimage @t67 @t17 @t53) @t3180))))))) % 54.38/54.68 (assume @p3220 (forall @t2670 (=> @t4293 (= (tptp.hAPP @t4352 @t2819) @t226)))) % 54.38/54.68 (assume @p3221 (forall (@list @t67 @t226 @t55 @t17) (and (=> @t3362 (= @t4366 @t4278)) (=> @t3363 (= @t4366 @t3265))))) % 54.38/54.68 (assume @p3222 (forall @t4367 (= @t4360 (tptp.hAPP @t3102 (tptp.hAPP (tptp.hAPP @t3949 @t4352) @t3948))))) % 54.38/54.68 (assume @p3223 (forall @t4203 (=> @t4293 (=> @t3226 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t4360) @t226)))))) % 54.38/54.68 (assume @p3224 (forall (@list @t230 @t67 @t863 @t226 @t55 @t17) (and (=> @t3362 (and (=> @t4371 (= @t4370 @t4278)) (=> @t4372 (= @t4370 @t230)))) (=> @t3363 (and (=> @t4371 (= @t4370 (tptp.hAPP @t4309 @t230))) (=> @t4372 (= @t4370 @t3265))))))) % 54.38/54.68 (assume @p3225 (forall @t4376 (=> @t4375 (= (tptp.hAPP (tptp.c_Set_Oimage @t17 @t67 @t4373) @t4275) @t226)))) % 54.38/54.68 (assume @p3226 (forall @t4376 (=> @t4375 (= (tptp.hAPP (tptp.c_Set_Oimage @t67 @t17 @t4374) @t226) @t4275)))) % 54.38/54.68 (assume @p3227 (forall @t4378 (=> @t4375 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1928 @t4377) @t226))))) % 54.38/54.68 (assume @p3228 (forall @t4379 (=> @t4375 (= (= @t4377 (tptp.hAPP @t4373 @t176)) @t177)))) % 54.38/54.68 (assume @p3229 (forall @t4378 (=> @t4375 (= (tptp.hAPP @t4374 @t4377) @t125)))) % 54.38/54.68 (assume @p3230 (forall @t4379 (=> @t4375 (=> @t3389 (=> @t4381 (= (= (tptp.hAPP @t4374 @t125) @t4380) @t177)))))) % 54.38/54.68 (assume @p3231 (forall (@list @t176 @t226 @t4374 @t4373 @t67 @t17) (=> @t4375 (=> @t4381 (= (tptp.hAPP @t4373 @t4380) @t176))))) % 54.38/54.68 (assume @p3232 (forall (@list @t3574 @t2105 @t2186 @t17) (= (tptp.c_Wellfounded_Omax__extp @t17 @t2186 @t2105 @t3574) (and @t4387 @t4386 @t4385 (forall @t7 (=> @t4384 (exists @t2793 (and @t4383 @t4382)))))))) % 54.38/54.68 (assume @p3233 (forall @t4395 (=> @t4394 (=> @t4393 (=> @t4392 (=> (forall @t7 (=> @t4391 (exists @t2793 (and @t4390 @t4389)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3691 (tptp.hAPP (tptp.hAPP @t3689 @t3067) @t3070)) @t3827)))))))) % 54.38/54.68 (assume @p3234 (forall (@list @t3664 @t3574 @t2105 @t2 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t17 @t2 @t4398) @t3664)) (exists @t3893 (and (= @t4398 @t4397) (tptp.hBOOL (tptp.hAPP @t4396 @t3664)) (not @t3892)))))) % 54.38/54.68 (assume @p3235 (forall (@list @t125 @t3067 @t36 @t2 @t17) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t17 @t2 @t4399) @t125)) (not (forall @t3893 (=> (= @t4399 @t4397) (=> (tptp.hBOOL (tptp.hAPP @t4396 @t125)) @t3892))))))) % 54.38/54.68 (assume @p3236 (forall (@list @t226 @t1 @t2 @t67 @t17 @t1945) (= (tptp.hAPP (tptp.c_Set_Oimage @t1945 @t2172 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t1945 @t67 @t2172) @t4402) @t1)) @t226) (tptp.hAPP (tptp.hAPP @t4401 (tptp.hAPP @t4280 @t226)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2187 @t2423 @t17) @t2837) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t2187 @t2187) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2187 @t4400 @t17) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2187)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 @t2187 @t17) (tptp.c_Set_Ovimage @t1945 @t17 @t2)) @t3316))) @t226)))))) % 54.38/54.68 (assume @p3237 (forall @t502 (=> @t4262 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (=> @t4073 @t4405)))))))) % 54.38/54.68 (assume @p3238 (forall @t3399 (=> @t3368 (=> @t3398 @t4408)))) % 54.38/54.68 (assume @p3239 (forall @t4415 (=> @t4414 (= (= @t4413 @t4411) @t499)))) % 54.38/54.68 (assume @p3240 (forall (@list @t230 @t67 @t17) (= (tptp.hAPP (tptp.hAPP @t4401 @t3254) @t230) @t3453))) % 54.38/54.68 (assume @p3241 (forall @t4420 (= (tptp.hAPP (tptp.hAPP @t4401 (tptp.hAPP (tptp.hAPP @t1221 @t1936) @t3032)) @t563) (tptp.hAPP (tptp.hAPP @t4419 @t4418) @t4416)))) % 54.38/54.68 (assume @p3242 (forall @t4425 (= (tptp.hAPP (tptp.hAPP @t4401 @t1223) @t4421) (tptp.hAPP (tptp.hAPP @t4419 @t4424) @t4423)))) % 54.38/54.68 (assume @p3243 (forall @t3099 (= (tptp.hAPP @t4417 (tptp.hAPP (tptp.hAPP @t4428 @t4312) @t230)) (tptp.hAPP (tptp.hAPP @t4419 @t4427) @t4426)))) % 54.38/54.68 (assume @p3244 (forall @t3118 (= (tptp.hAPP @t4431 @t4430) (tptp.hAPP (tptp.hAPP @t288 @t2881) @t3251)))) % 54.38/54.68 (assume @p3245 (forall @t2679 (=> @t2678 (= @t2677 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2169 @t17) @t2167) @t4434))))) % 54.38/54.68 (assume @p3246 (forall @t3118 (= (= @t4430 @t3453) (or @t3264 @t3344)))) % 54.38/54.68 (assume @p3247 (forall @t2689 (= (tptp.hAPP @t4406 (tptp.hAPP @t3280 @t3265)) @t3453))) % 54.38/54.68 (assume @p3248 (forall @t2689 (= (tptp.hAPP @t4437 (tptp.hAPP @t4435 @t4436)) (tptp.hAPP @t4435 (tptp.hAPP @t3280 @t4310))))) % 54.38/54.68 (assume @p3249 (forall @t2689 (= (tptp.hAPP @t4437 (tptp.hAPP @t4406 @t4438)) (tptp.hAPP (tptp.hAPP @t4401 @t1220) @t4438)))) % 54.38/54.68 (assume @p3250 (forall @t2679 (=> @t2854 (= (tptp.hAPP (tptp.hAPP @t3739 (tptp.hAPP (tptp.hAPP @t2676 (tptp.hAPP (tptp.hAPP @t2674 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t1945 @t17)) @t2)) @t230)) @t226) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2169 @t17) @t2167) @t4434))))) % 54.38/54.68 (assume @p3251 (forall @t4420 (= (tptp.hAPP (tptp.hAPP @t4401 (tptp.hAPP (tptp.hAPP @t2923 @t1936) @t3032)) @t563) (tptp.hAPP (tptp.hAPP @t3449 @t4418) @t4416)))) % 54.38/54.68 (assume @p3252 (forall @t4425 (= (tptp.hAPP (tptp.hAPP @t4401 @t2952) @t4421) (tptp.hAPP (tptp.hAPP @t3449 @t4424) @t4423)))) % 54.38/54.68 (assume @p3253 (forall @t3099 (= (tptp.hAPP @t4417 (tptp.hAPP (tptp.hAPP @t4428 @t3319) @t230)) (tptp.hAPP (tptp.hAPP @t3449 @t4427) @t4426)))) % 54.38/54.68 (assume @p3254 (forall @t3284 (= (tptp.hAPP (tptp.c_Set_Oimage @t2395 @t2172 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t67 @t17 @t2172) @t4440)) @t4439) (tptp.hAPP @t4422 @t4436)))) % 54.38/54.68 (assume @p3255 (forall @t3223 (=> @t3172 (=> @t3224 @t4441)))) % 54.38/54.68 (assume @p3256 (forall (@list @t36 @t2 @t17 @t1) (=> (= @t1 @t4442) (= (tptp.hAPP @t1 @t3262) @t36)))) % 54.38/54.68 (assume @p3257 (forall (@list @t36 @t2 @t17) (= (tptp.hAPP @t4442 @t3262) @t36))) % 54.38/54.68 (assume @p3258 (forall @t3966 (=> @t3975 @t4446))) % 54.38/54.68 (assume @p3259 (forall @t3099 (= (tptp.hAPP @t4417 (tptp.hAPP (tptp.hAPP @t4428 @t4101) @t230)) (tptp.hAPP (tptp.hAPP @t4164 @t4427) @t4426)))) % 54.38/54.68 (assume @p3260 (forall @t4425 (= (tptp.hAPP (tptp.hAPP @t4401 @t4008) @t4421) (tptp.hAPP (tptp.hAPP @t4164 @t4424) @t4423)))) % 54.38/54.68 (assume @p3261 (forall @t4420 (= (tptp.hAPP (tptp.hAPP @t4401 (tptp.hAPP (tptp.hAPP @t4006 @t1936) @t3032)) @t563) (tptp.hAPP (tptp.hAPP @t4164 @t4418) @t4416)))) % 54.38/54.68 (assume @p3262 (forall @t558 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 @t3979) @t4445)))) % 54.38/54.68 (assume @p3263 (forall @t3853 (= (tptp.hAPP @t4435 @t4438) @t4282))) % 54.38/54.68 (assume @p3264 (forall @t4447 (=> @t4408 (not (=> @t3368 (not @t3398)))))) % 54.38/54.68 (assume @p3265 (forall @t4447 (=> @t4408 @t3398))) % 54.38/54.68 (assume @p3266 (forall @t4447 (=> @t4408 @t3368))) % 54.38/54.68 (assume @p3267 (forall @t4447 (= @t4408 (and @t3368 @t3398)))) % 54.38/54.68 (assume @p3268 (forall @t3716 (=> @t3358 @t4449))) % 54.38/54.68 (assume @p3269 (forall (@list @t226 @t125 @t67 @t17) (= (tptp.hAPP @t4431 (tptp.hAPP (tptp.hAPP @t4401 @t3255) @t4436)) @t2887))) % 54.38/54.68 (assume @p3270 (forall @t4415 (=> @t4414 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4451 @t4413) @t4411)) (tptp.hBOOL (tptp.hAPP @t4450 @t230)))))) % 54.38/54.68 (assume @p3271 (forall (@list @t563 @t230 @t226 @t1753 @t67 @t17) (=> @t4453 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 (tptp.hAPP @t3930 @t563)) @t230))))) % 54.38/54.68 (assume @p3272 (forall @t3118 (=> @t4441 (=> (not @t3344) @t3172)))) % 54.38/54.68 (assume @p3273 (forall @t3118 (=> @t4441 (=> @t3276 @t3224)))) % 54.38/54.68 (assume @p3274 (forall (@list @t226 @t67 @t17 @t230) (and (=> @t3271 (= @t4454 @t3265)) (=> @t3644 (= @t4454 @t226))))) % 54.38/54.68 (assume @p3275 (forall (@list @t230 @t67 @t17 @t226) (and (=> @t3264 (= @t4455 @t3265)) (=> @t3276 (= @t4455 @t230))))) % 54.38/54.68 (assume @p3276 (forall @t2756 (= @t4448 (tptp.c_HOL_OThe @t17 @t4294)))) % 54.38/54.68 (assume @p3277 (forall @t558 (=> @t2993 (=> @t3172 (= @t3621 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t17 @t2967) @t226)))))) % 54.38/54.68 (assume @p3278 (forall @t558 (=> @t2993 (=> @t3172 (= @t4180 @t4456))))) % 54.38/54.68 (assume @p3279 (forall @t558 (=> @t190 (=> @t3172 (= @t3660 @t4458))))) % 54.38/54.68 (assume @p3280 (forall @t558 (=> @t190 (=> @t3172 (= @t3623 @t4459))))) % 54.38/54.68 (assume @p3281 (forall @t558 (=> @t190 (=> @t3172 (= @t3706 @t4458))))) % 54.38/54.68 (assume @p3282 (forall @t558 (=> @t190 (=> @t3172 (= @t3694 @t4459))))) % 54.38/54.68 (assume @p3283 (forall @t3966 (= @t4178 (and @t4446 @t4173)))) % 54.38/54.68 (assume @p3284 (forall (@list @t230 @t346 @t226 @t36 @t67 @t17) (= (tptp.hAPP @t4460 @t4461) (tptp.hAPP @t4463 (tptp.hAPP (tptp.hAPP @t3449 (tptp.hAPP @t4406 @t4461)) (tptp.hAPP @t4460 @t4429)))))) % 54.38/54.68 (assume @p3285 (forall (@list @t3067 @t1753 @t226 @t17) (=> @t3172 (=> @t4446 (=> @t3977 @t4394))))) % 54.38/54.68 (assume @p3286 (forall (@list @t3180 @t4464 @t230 @t226 @t67 @t17 @t2170 @t1945) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2404 @t3442) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t1945 @t2170) @t226) (tptp.hAPP (tptp.c_COMBK @t4468 @t1945) @t230))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1945 @t2170 @t3442) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1945 @t4467 @t4466) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4465 (tptp.tc_fun @t4467 @t4466) @t1945) (tptp.c_COMBB @t2435 @t3442 @t2170)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 @t4465 @t1945) @t4401) @t4464))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2423 @t2435 @t2170) @t3280) @t3180)))) (tptp.hAPP (tptp.hAPP @t4401 (tptp.hAPP @t3083 @t4464)) (tptp.hAPP @t3280 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2170 @t2423) @t230) @t3180)))))) % 54.38/54.68 (assume @p3287 (forall @t3118 (= @t4407 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t17 @t3442) @t226) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t17 @t4471 @t3442) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2423 (tptp.tc_fun @t4471 @t3442) @t17) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t67 @t3442)) @t230)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t3442 @t4471) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4470 (tptp.tc_fun @t3442 @t4471) @t17) (tptp.c_COMBC @t67 @t3442 @t3442)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2174 @t4470 @t17) (tptp.hAPP (tptp.c_COMBB @t2172 @t4469 @t67) @t4462)) @t2171))) @t3453)))))) % 54.38/54.68 (assume @p3288 (forall @t3212 (=> @t4045 (=> @t3172 (=> @t3368 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t4456) @t36))))))) % 54.38/54.68 (assume @p3289 (forall @t3966 (=> @t3172 (=> @t4446 (tptp.hBOOL (tptp.hAPP @t3904 @t3965)))))) % 54.38/54.68 (assume @p3290 (forall @t3233 (=> @t4045 (=> @t3172 (=> @t3276 (= (tptp.hBOOL (tptp.hAPP @t178 @t4456)) @t4473)))))) % 54.38/54.68 (assume @p3291 (forall @t3212 (=> @t190 (=> @t3172 (=> @t3368 (tptp.hBOOL (tptp.hAPP @t4474 @t36))))))) % 54.38/54.68 (assume @p3292 (forall @t3233 (=> @t4476 (=> @t3276 (=> @t3172 @t4475))))) % 54.38/54.68 (assume @p3293 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3276 (= (tptp.hBOOL (tptp.hAPP @t4474 @t125)) (exists @t7 (and @t2422 (tptp.hBOOL (tptp.hAPP @t3585 @t125)))))))))) % 54.38/54.68 (assume @p3294 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3276 (= (tptp.hBOOL (tptp.hAPP @t178 @t4458)) @t4473)))))) % 54.38/54.68 (assume @p3295 (forall @t502 (=> @t4476 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 @t4405))))))) % 54.38/54.68 (assume @p3296 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3276 (= (tptp.hBOOL (tptp.hAPP @t186 @t4458)) (forall @t7 (=> @t2422 (tptp.hBOOL (tptp.hAPP @t186 @t3)))))))))) % 54.38/54.68 (assume @p3297 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3276 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t4458) @t125)) (exists @t7 (and @t2422 (tptp.hBOOL (tptp.hAPP @t286 @t125)))))))))) % 54.38/54.68 (assume @p3298 (forall @t3233 (=> @t4262 (=> @t3276 (=> @t3172 (=> @t3352 @t4475)))))) % 54.38/54.68 (assume @p3299 (forall @t502 (=> @t190 (=> @t3276 (=> @t234 (=> @t3131 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.hAPP @t4457 @t230)) @t4458)))))))) % 54.38/54.68 (assume @p3300 (forall @t3716 (=> (tptp.c_Big__Operators_Osemilattice__big @t17 @t2 @t3180) @t4449))) % 54.38/54.68 (assume @p3301 (forall (@list @t226 @t1936 @t67 @t17) (exists @t3906 (and (tptp.c_Fun_Oinj__on @t17 @t2395 @t3905 @t3098) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4451 (tptp.hAPP (tptp.c_Set_Oimage @t17 @t2395 @t3905) @t3098)) (tptp.hAPP (tptp.hAPP @t4410 @t1936) @t226))))))) % 54.38/54.68 (assume @p3302 (forall @t4477 (=> @t4446 (=> @t4173 @t4178)))) % 54.38/54.68 (assume @p3303 (forall @t4484 (=> @t4483 (=> @t3172 (=> @t3221 (= (tptp.hAPP (tptp.hAPP @t4482 (tptp.hAPP (tptp.hAPP @t4481 (tptp.hAPP (tptp.hAPP @t4480 @t4478) @t2)) @t230)) @t226) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2172 @t1945) @t2537) @t4407))))))) % 54.38/54.68 (assume @p3304 (forall @t4484 (=> @t4488 (=> @t3172 (=> @t3221 (= (tptp.hAPP (tptp.hAPP @t4487 (tptp.hAPP @t4486 @t230)) @t226) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2172 @t1945) @t2537) @t4407))))))) % 54.38/54.68 (assume @p3305 (forall (@list @t1 @t230 @t67 @t226 @t17 @t1945) (=> @t4483 (=> @t3172 (=> @t3221 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4492 (tptp.hAPP (tptp.hAPP @t4481 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t1945 @t4479) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2173 (tptp.tc_fun @t1945 @t4479) @t17) @t4491) @t1)) @t4489)) @t230)) @t4489) @t226) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t1945 @t2172 @t4490) (tptp.hAPP @t2175 @t1)) @t4489) @t4407))))))) % 54.38/54.68 (assume @p3306 (forall @t3223 (=> @t3172 (=> @t3221 (= (tptp.hAPP @t4431 @t4407) (tptp.hAPP (tptp.hAPP @t2753 (tptp.hAPP @t4493 @t230)) @t226)))))) % 54.38/54.68 (assume @p3307 (forall @t558 (=> @t4262 (=> @t3172 (=> @t3276 (=> (forall @t287 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t4494) @t3655))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t4404) @t226)))))))) % 54.38/54.68 (assume @p3308 (forall @t3223 (=> @t3172 (=> @t4496 (tptp.hBOOL (tptp.hAPP @t4283 @t4407)))))) % 54.38/54.68 (assume @p3309 (forall @t3796 (=> @t4476 (=> (forall @t287 (= (tptp.hAPP @t53 @t4494) (tptp.hAPP (tptp.hAPP @t349 @t3794) @t3793))) (=> @t3637 (=> @t3792 (= (tptp.hAPP @t53 (tptp.hAPP @t4403 @t3151)) (tptp.hAPP @t4403 @t3791)))))))) % 54.38/54.68 (assume @p3310 (forall (@list @t230 @t226 @t55 @t67 @t17) (=> (tptp.hBOOL (tptp.hAPP @t4499 @t4407)) (not (forall @t7 (=> @t2422 (forall @t4157 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1928 @t283) @t2417)) (not (= @t55 @t4498)))))))))) % 54.38/54.68 (assume @p3311 (forall (@list @t1 @t1945 @t2170 @t2 @t17 @t67) (=> @t4311 (=> (= (tptp.hAPP @t4505 (tptp.c_Orderings_Otop__class_Otop @t4468)) @t4504) (= (tptp.hAPP @t4503 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4502 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t4501)))))) % 54.38/54.68 (assume @p3312 (forall (@list @t1 @t2 @t2170 @t1945 @t2186 @t346 @t36 @t67 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3411 @t2186)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4509 (tptp.hAPP (tptp.hAPP @t4508 @t2181) @t4507)) (tptp.hAPP (tptp.c_Set_Oimage @t2172 @t2404 @t4506) @t2186)))))) % 54.38/54.68 (assume @p3313 (forall (@list @t125 @t1 @t2 @t2170 @t1945 @t67 @t17) (= (tptp.hAPP @t2226 (tptp.hAPP @t4510 @t125)) @t2384))) % 54.38/54.68 (assume @p3314 (forall (@list @t522 @t67 @t17) (= (tptp.hAPP @t4511 @t522) @t522))) % 54.38/54.68 (assume @p3315 (forall (@list @t125 @t1 @t2 @t2170 @t1945 @t17 @t67) (= (tptp.hAPP @t2243 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t1945 @t67 @t2170 @t17 @t2 @t1) @t125)) @t2382))) % 54.38/54.68 (assume @p3316 (forall (@list @t346 @t36 @t1 @t2 @t67 @t2170 @t17 @t1945) (= (tptp.hAPP @t4510 (tptp.hAPP (tptp.hAPP @t4508 @t36) @t346)) (tptp.hAPP (tptp.hAPP @t2171 @t2181) @t4507)))) % 54.38/54.68 (assume @p3317 (forall (@list @t1 @t2 @t2170 @t67 @t1945 @t17) (= @t4506 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t67 @t2404) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t4514 @t4513) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4512 (tptp.tc_fun @t4514 @t4513) @t17) (tptp.c_COMBB @t2170 @t2404 @t67)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1945 @t4512 @t17) @t4508) @t2))) @t1))))) % 54.38/54.68 (assume @p3318 (forall (@list @t4515 @t230 @t1 @t1945 @t2170 @t3932 @t226 @t2 @t17 @t67) (=> @t4518 (=> (= (tptp.hAPP @t4505 @t230) @t4515) (= (tptp.hAPP @t4503 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t67 @t2170) @t226) (tptp.hAPP (tptp.c_COMBK @t4468 @t67) @t230))) (tptp.hAPP (tptp.hAPP @t4517 @t3932) (tptp.hAPP @t4516 @t4515))))))) % 54.38/54.68 (assume @p3319 (forall (@list @t230 @t1 @t2170 @t1945 @t226 @t2 @t67 @t17) (=> @t4200 (=> (tptp.c_Fun_Oinj__on @t1945 @t2170 @t1 @t230) (tptp.c_Fun_Oinj__on @t4500 @t4502 (tptp.c_Product__Type_Omap__pair @t17 @t67 @t1945 @t2170 @t2 @t1) (tptp.hAPP @t4519 (tptp.hAPP @t4516 @t230))))))) % 54.38/54.68 (assume @p3320 (forall (@list @t2186 @t1 @t2 @t2170 @t1945 @t55 @t67 @t17) (=> (tptp.hBOOL (tptp.hAPP @t4499 (tptp.hAPP (tptp.c_Set_Oimage @t2404 @t2172 @t4510) @t2186))) (not (forall @t287 (=> (= @t55 (tptp.hAPP (tptp.hAPP @t2171 @t5) (tptp.hAPP @t1 @t283))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4509 (tptp.hAPP (tptp.hAPP @t4508 @t3) @t283)) @t2186))))))))) % 54.38/54.68 (assume @p3321 (forall (@list @t3151 @t53 @t3180 @t2 @t17) (=> @t3898 (=> (forall @t287 (= (tptp.hAPP @t53 @t2494) (tptp.hAPP (tptp.hAPP @t2 @t3794) @t3793))) (=> @t3637 (=> @t3792 (= (tptp.hAPP @t53 (tptp.hAPP @t3180 @t3151)) (tptp.hAPP @t3180 @t3791)))))))) % 54.38/54.68 (assume @p3322 (forall @t3768 (=> @t3500 (=> @t3766 @t3767)))) % 54.38/54.68 (assume @p3323 (forall @t4315 (=> @t4521 (not (forall @t7 (not (= @t176 @t4520))))))) % 54.38/54.68 (assume @p3324 (forall (@list @t111 @t176) (=> @t4521 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t111 @t4520))) @t4522)))) % 54.38/54.68 (assume @p3325 (forall @t45 (tptp.c_Finite__Set_Ofun__left__comm__idem @t17 @t231 @t4523))) % 54.38/54.68 (assume @p3326 (forall @t45 (=> @t2968 (tptp.c_Finite__Set_Ofun__left__comm__idem @t17 @t17 @t2967)))) % 54.38/54.68 (assume @p3327 (forall @t45 (=> @t4045 (tptp.c_Finite__Set_Ofun__left__comm__idem @t17 @t17 @t4028)))) % 54.38/54.68 (assume @p3328 (forall @t45 (=> @t4476 (tptp.c_Finite__Set_Ofun__left__comm__idem @t17 @t17 @t349)))) % 54.38/54.68 (assume @p3329 (forall @t4526 (=> @t4525 (tptp.c_Finite__Set_Ofun__left__comm__idem @t1945 @t67 @t4524)))) % 54.38/54.68 (assume @p3330 (forall (@list @t522 @t125 @t2 @t67 @t17) (=> @t4525 (= (tptp.hAPP @t127 @t4527) @t4527)))) % 54.38/54.68 (assume @p3331 (forall @t45 (tptp.c_Finite__Set_Ofun__left__comm__idem @t17 @t231 @t3144))) % 54.38/54.68 (assume @p3332 (forall @t45 (=> @t190 (tptp.c_Finite__Set_Ofun__left__comm__idem @t17 @t17 @t2286)))) % 54.38/54.68 (assume @p3333 (forall @t45 (=> @t190 (tptp.c_Finite__Set_Ofun__left__comm__idem @t17 @t17 @t2357)))) % 54.38/54.68 (assume @p3334 (forall (@list @t226 @t2 @t1945 @t67 @t17 @t1936) (=> (not (= @t1936 @t3254)) (=> (forall @t1268 (=> (tptp.hBOOL (tptp.hAPP @t3606 @t1936)) (tptp.c_Fun_Oinj__on @t67 @t1945 @t2 (tptp.hAPP @t226 @t1264)))) (tptp.c_Fun_Oinj__on @t67 @t1945 @t2 @t3203))))) % 54.38/54.68 (assume @p3335 (forall @t4118 (=> @t3564 (=> @t3563 (=> @t3224 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1929 @t4092)) (= @t4 @t522))) @t4133)))))) % 54.38/54.68 (assume @p3336 (forall @t4540 (=> @t4539 (= (tptp.hAPP tptp.c_Nat_OSuc @t4537) @t4532)))) % 54.38/54.68 (assume @p3337 (forall @t4546 (=> @t4545 @t4543))) % 54.38/54.68 (assume @p3338 (forall @t4553 (=> (or @t4552 @t4551) (tptp.hBOOL (tptp.hAPP @t3130 @t4549))))) % 54.38/54.68 (assume @p3339 (forall @t1636 (tptp.hBOOL (tptp.hAPP @t3141 (tptp.hAPP @t4531 (tptp.hAPP @t4528 @t359)))))) % 54.38/54.68 (assume @p3340 (forall @t1636 (tptp.hBOOL (tptp.hAPP @t3141 (tptp.hAPP @t4531 (tptp.hAPP (tptp.hAPP @t2624 @t79) @t359)))))) % 54.38/54.68 (assume @p3341 (forall @t3595 (= @t4542 @t111))) % 54.38/54.68 (assume @p3342 (forall @t4553 (= @t4555 (tptp.hAPP (tptp.hAPP @t2923 @t4542) @t4550)))) % 54.38/54.68 (assume @p3343 (forall @t3595 (= (= @t3254 @t4542) @t4557))) % 54.38/54.68 (assume @p3344 (forall @t3595 (= (= @t4542 @t3254) @t4557))) % 54.38/54.68 (assume @p3345 (forall @t45 (= @t3254 (tptp.hAPP @t4541 @t4559)))) % 54.38/54.68 (assume @p3346 (forall @t4562 (= (tptp.hAPP @t3145 @t4542) (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t4561 (tptp.hAPP @t4560 @t2493))) @t111))))) % 54.38/54.68 (assume @p3347 (forall @t4553 (= @t4549 (tptp.hAPP (tptp.hAPP @t4006 @t4542) @t4550)))) % 54.38/54.68 (assume @p3348 (forall @t4553 (= (tptp.hBOOL (tptp.hAPP @t3130 @t4555)) (and @t4552 @t4551)))) % 54.38/54.68 (assume @p3349 (forall @t45 (= @t4275 (tptp.hAPP @t4541 (tptp.hAPP @t4558 tptp.c_fTrue))))) % 54.38/54.68 (assume @p3350 (forall @t558 (= (tptp.hAPP @t4541 @t3915) @t226))) % 54.38/54.68 (assume @p3351 (forall @t4562 (= @t4543 @t4545))) % 54.38/54.68 (assume @p3352 (forall @t4562 (=> @t4543 @t4545))) % 54.38/54.68 (assume @p3353 (forall (@list @t111 @t2 @t67 @t17) (= (tptp.hAPP @t4352 @t4564) (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t4138 @t111) @t2))))) % 54.38/54.68 (assume @p3354 (forall @t3595 (= @t4567 @t4565))) % 54.38/54.68 (assume @p3355 (forall @t4572 (= (tptp.hAPP @t4571 (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t4428 @t4570) @t2260))) (tptp.hAPP @t4569 (tptp.hAPP @t4568 @t2260))))) % 54.38/54.68 (assume @p3356 (forall @t4572 (= (tptp.hAPP @t4571 (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t2485 @t4570) @t2260))) (tptp.hAPP @t4569 (tptp.hAPP @t3280 (tptp.hAPP @t4563 @t2260)))))) % 54.38/54.68 (assume @p3357 (forall @t3419 (= @t3146 (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t4554 @t2493)) @t4129))))) % 54.38/54.68 (assume @p3358 (forall @t502 (= @t2952 (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t4554 @t3915)) @t4129))))) % 54.38/54.68 (assume @p3359 (forall (@list @t111 @t226 @t125 @t17) (= (tptp.hBOOL (tptp.hAPP @t3349 @t4573)) (and @t3350 @t2433)))) % 54.38/54.68 (assume @p3360 (forall @t502 (= @t4008 @t4574))) % 54.38/54.68 (assume @p3361 (forall @t4546 (and (=> @t4545 (= @t4575 @t3262)) (=> @t4576 (= @t4575 @t3254))))) % 54.38/54.68 (assume @p3362 (forall @t4546 (and (=> @t4545 (= @t4577 @t3262)) (=> @t4576 (= @t4577 @t3254))))) % 54.38/54.68 (assume @p3363 (forall @t744 (= @t4578 @t3262))) % 54.38/54.68 (assume @p3364 (forall @t744 (= (tptp.hAPP @t4541 @t2129) @t3262))) % 54.38/54.68 (assume @p3365 (forall @t502 (= @t1223 (tptp.hAPP @t4541 (tptp.hAPP @t4234 (tptp.hAPP @t4560 @t4129)))))) % 54.38/54.68 (assume @p3366 (forall @t3595 (=> @t4552 (= (tptp.hBOOL (tptp.hAPP @t3130 @t4567)) @t4285)))) % 54.38/54.68 (assume @p3367 (forall @t3419 (= @t3146 (tptp.hAPP (tptp.hAPP @t2923 @t4578) @t230)))) % 54.38/54.68 (assume @p3368 (forall @t558 (= @t1220 (tptp.hAPP @t4541 (tptp.hAPP @t4560 @t3915))))) % 54.38/54.68 (assume @p3369 (forall @t4367 (= @t4360 (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t2423 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t67 (tptp.tc_fun @t2423 tptp.tc_HOL_Obool) @t17) @t1928) @t2)) @t230))))) % 54.38/54.68 (assume @p3370 (forall (@list @t111 @t226 @t67 @t17) (= (tptp.hAPP @t4541 (tptp.hAPP @t4585 (tptp.hAPP @t4583 @t111))) (tptp.hAPP @t2845 (tptp.hAPP @t4579 (tptp.hAPP @t4231 @t111)))))) % 54.38/54.68 (assume @p3371 (forall @t4553 (= (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t4561 @t111)) @t2260)) (tptp.hAPP (tptp.hAPP @t2923 @t4565) @t4550)))) % 54.38/54.68 (assume @p3372 (forall @t722 (tptp.hBOOL (tptp.hAPP @t3141 (tptp.hAPP @t4531 (tptp.hAPP (tptp.hAPP @t2627 (tptp.hAPP @t2625 @t111)) @t4533)))))) % 54.38/54.68 (assume @p3373 (forall (@list @t2186 @t2 @t3863 @t67 @t2909 @t17 @t1945) (=> @t4488 (=> @t3500 (=> @t4590 (= (tptp.hAPP (tptp.hAPP @t4487 (tptp.hAPP @t4486 @t4589)) @t2909) (tptp.hAPP (tptp.hAPP @t4485 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t67 @t231 @t1945) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t17 @t1945) (tptp.tc_fun @t231 @t1945) @t67) @t4487) (tptp.hAPP (tptp.c_COMBC @t17 @t67 @t1945) @t2))) (tptp.hAPP @t4579 (tptp.hAPP (tptp.hAPP @t3017 @t4587) @t4586)))) @t3863))))))) % 54.38/54.68 (assume @p3374 (forall @t3284 (= @t3119 (tptp.hAPP @t4541 (tptp.hAPP @t4585 (tptp.hAPP @t4583 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t3079 @t2423) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2621 @t4592 @t17) @t4591) @t2420)) @t230))))))) % 54.38/54.68 (assume @p3375 (forall (@list @t2909 @t1 @t2 @t111 @t17 @t67) (= (tptp.hAPP (tptp.c_Set_Oimage @t67 @t17 (tptp.hAPP (tptp.hAPP @t2693 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t67 @t17 @t2005) (tptp.hAPP @t4369 @t111)) @t2)) @t1)) @t2909) (tptp.hAPP (tptp.hAPP @t2923 (tptp.hAPP @t2825 (tptp.hAPP @t4593 @t4564))) (tptp.hAPP @t4218 (tptp.hAPP @t4593 (tptp.hAPP @t4563 (tptp.hAPP (tptp.hAPP @t2482 tptp.c_fNot) @t111)))))))) % 54.38/54.68 (assume @p3376 (forall (@list @t33 @t2 @t17 @t226) (=> (= @t226 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t17 @t2) (tptp.hAPP @t4531 (tptp.hAPP @t4528 @t33)))) @t3172))) % 54.38/54.68 (assume @p3377 (forall @t4132 (=> @t2861 (=> @t3172 (= (tptp.hAPP @t2860 @t4574) @t4130))))) % 54.38/54.68 (assume @p3378 (forall (@list @t2 @t1945 @t1 @t2909 @t17 @t67) (=> @t2861 (=> @t3500 (= (tptp.hAPP @t2859 @t2909) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1945 @t67) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 @t67 @t1945) @t2859) (tptp.hAPP (tptp.hAPP @t3028 @t4541) (tptp.hAPP (tptp.hAPP @t3028 @t4587) (tptp.hAPP (tptp.c_COMBC @t17 @t1945 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1945 @t2187 @t17) tptp.c_fequal) @t2)))))) (tptp.hAPP @t4594 @t2909))))))) % 54.38/54.68 (assume @p3379 (forall (@list @t36 @t1753 @t17 @t67) (= @t3952 (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t3935 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2395 @t4595 @t17) @t3943) @t3950)) @t1753))))) % 54.38/54.68 (assume @p3380 (forall (@list @t1 @t2 @t111 @t226 @t17 @t67) (=> @t2861 (=> @t3172 (= (tptp.hAPP (tptp.hAPP @t2858 (tptp.hAPP (tptp.hAPP @t3191 (tptp.hAPP (tptp.hAPP @t3493 (tptp.hAPP @t3492 @t111)) @t2)) @t1)) @t226) (tptp.hAPP (tptp.hAPP @t3187 (tptp.hAPP @t2860 @t4573)) (tptp.hAPP @t2859 (tptp.hAPP @t4007 @t4565)))))))) % 54.38/54.68 (assume @p3381 (forall @t4540 (=> (not @t4539) (= @t4537 @t4532)))) % 54.38/54.68 (assume @p3382 (forall @t4540 (=> @t4539 (not (= @t4532 @t56))))) % 54.38/54.68 (assume @p3383 (forall (@list @t359 @t2186 @t3863 @t67 @t2909 @t17) (=> @t3500 (=> @t4590 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1929 @t3863)) (= (tptp.hAPP @t2880 (tptp.hAPP @t4541 (tptp.hAPP @t4587 @t4596))) @t359))) (= (tptp.hAPP (tptp.hAPP @t2753 (tptp.hAPP @t4493 @t4589)) @t2909) (tptp.hAPP @t367 (tptp.hAPP @t2886 @t3863)))))))) % 54.38/54.68 (assume @p3384 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3276 (= (tptp.hAPP @t2358 @t3706) (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 (tptp.hAPP @t4541 (tptp.hAPP @t4602 (tptp.hAPP (tptp.hAPP @t3315 (tptp.hAPP @t4600 (tptp.hAPP @t3981 (tptp.hAPP @t4599 @t2358)))) @t3915)))))))))) % 54.38/54.68 (assume @p3385 (forall @t502 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (= (tptp.hAPP (tptp.hAPP @t2357 @t3706) @t3711) (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 (tptp.hAPP @t4541 (tptp.hAPP @t4602 (tptp.hAPP @t4611 (tptp.hAPP (tptp.hAPP @t4610 (tptp.hAPP @t4609 (tptp.hAPP @t4608 (tptp.hAPP @t4606 (tptp.hAPP @t4604 @t2357))))) @t4603))))))))))))) % 54.38/54.68 (assume @p3386 (forall @t558 (=> @t3172 (tptp.hBOOL (tptp.hAPP @t3904 @t4613))))) % 54.38/54.68 (assume @p3387 (forall @t558 (= (tptp.hAPP @t3885 @t1220) (tptp.hAPP @t4612 (tptp.hAPP (tptp.hAPP @t4614 @t4623) (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t4621 (tptp.hAPP @t4619 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t231 @t3021 @t2621) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2621 (tptp.tc_fun @t3021 @t2621) @t231) @t4615) tptp.c_fequal)) @t1218)))) (tptp.hAPP (tptp.hAPP @t4614 @t3902) @t3885))))))) % 54.38/54.68 (assume @p3388 (forall @t558 (= @t3886 @t4613))) % 54.38/54.68 (assume @p3389 (forall @t3841 (=> @t4552 (tptp.hBOOL (tptp.hAPP @t3204 (tptp.hAPP @t4563 (tptp.hAPP @t4624 (tptp.hAPP (tptp.hAPP @t3024 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3980 @t3021 @t67) @t4233) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 @t3980 @t67) @t2481) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 @t130 @t231) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2423 @t4139 @t67) @t4138) tptp.c_fequal)) @t2)))) @t111)))))))) % 54.38/54.68 (assume @p3390 (forall (@list @t2260 @t67 @t111 @t17) (=> @t4552 (= (tptp.hBOOL (tptp.hAPP @t3204 (tptp.hAPP @t4563 (tptp.hAPP @t4624 (tptp.hAPP (tptp.hAPP @t3017 @t4548) @t2260))))) (forall @t4157 (=> @t4627 (tptp.hBOOL (tptp.hAPP @t3204 (tptp.hAPP @t4563 (tptp.hAPP @t4626 @t283)))))))))) % 54.38/54.68 (assume @p3391 (forall @t3853 (tptp.c_Fun_Oinj__on @t130 @t3442 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3442 @t3442 @t130) @t4571) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2435 @t3442 @t130) @t2179) (tptp.hAPP @t4136 (tptp.hAPP (tptp.c_COMBC @t67 @t67 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t4286))) % 54.38/54.68 (assume @p3392 (forall @t585 (tptp.c_Nat__Transfer_Onat__set @t4629))) % 54.38/54.68 (assume @p3393 (forall @t45 (= @t3688 (tptp.hAPP (tptp.c_Set_OCollect @t3690) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t231 @t231 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t4621 (tptp.hAPP @t4619 @t559))) @t3130)))))) % 54.38/54.68 (assume @p3394 (forall (@list @t2 @t1753 @t17 @t67) (= @t3856 (tptp.hAPP @t4634 (tptp.hAPP @t3982 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t3844 @t231) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4633 (tptp.tc_fun @t3844 @t231) @t17) (tptp.c_COMBC @t17 @t3844 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4631 @t4633 @t17) (tptp.hAPP (tptp.c_COMBB @t3683 @t4632 @t17) @t3684)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t130 @t4631) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4630 (tptp.tc_fun @t130 @t4631) @t17) (tptp.c_COMBB @t67 @t3683 @t17)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t67 @t4630 @t17) @t3682) @t2))) @t2)))) @t1753)))))) % 54.38/54.68 (assume @p3395 (forall @t585 (= @t4629 (tptp.hAPP @t2813 (tptp.hAPP @t4531 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t111) @t509)))))) % 54.38/54.68 (assume @p3396 (forall @t585 (= (tptp.hAPP @t4531 @t111) (tptp.hAPP @t2884 (tptp.hAPP @t4628 (tptp.hAPP @t2128 (tptp.hAPP (tptp.hAPP @t2020 @t111) tptp.c_Int_Onat))))))) % 54.38/54.68 (assume @p3397 (forall @t4638 (=> @t4637 (=> @t3637 (=> @t3792 (= (tptp.hAPP @t4635 @t3636) (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t4636))))))) % 54.38/54.68 (assume @p3398 (forall @t4638 (=> @t4637 (=> @t3637 (=> @t3792 (= (tptp.hAPP @t4635 @t3670) (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t4636))))))) % 54.38/54.68 (assume @p3399 (forall @t502 (=> @t4639 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (= (tptp.hAPP (tptp.hAPP @t2967 @t4180) @t4193) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 (tptp.hAPP @t4541 (tptp.hAPP @t4602 (tptp.hAPP @t4611 (tptp.hAPP (tptp.hAPP @t4610 (tptp.hAPP @t4609 (tptp.hAPP @t4608 (tptp.hAPP @t4606 (tptp.hAPP @t4604 @t2967))))) @t4603))))))))))))) % 54.38/54.68 (assume @p3400 (forall @t3233 (=> @t4639 (=> @t3172 (=> @t3276 (= (tptp.hAPP @t2998 @t4180) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 (tptp.hAPP @t4541 (tptp.hAPP @t4602 (tptp.hAPP (tptp.hAPP @t3315 (tptp.hAPP @t4600 (tptp.hAPP @t3981 (tptp.hAPP @t4599 @t2998)))) @t3915)))))))))) % 54.38/54.68 (assume @p3401 (forall @t3233 (=> @t4639 (=> @t3172 (=> @t3276 (= (tptp.hAPP @t4055 @t3621) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 (tptp.hAPP @t4541 (tptp.hAPP @t4602 (tptp.hAPP (tptp.hAPP @t3315 (tptp.hAPP @t4600 (tptp.hAPP @t3981 (tptp.hAPP @t4599 @t4055)))) @t3915)))))))))) % 54.38/54.68 (assume @p3402 (forall @t502 (=> @t4639 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (= (tptp.hAPP (tptp.hAPP @t4028 @t3621) @t3643) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 (tptp.hAPP @t4541 (tptp.hAPP @t4602 (tptp.hAPP @t4611 (tptp.hAPP (tptp.hAPP @t4610 (tptp.hAPP @t4609 (tptp.hAPP @t4608 (tptp.hAPP @t4606 (tptp.hAPP @t4604 @t4028))))) @t4603))))))))))))) % 54.38/54.68 (assume @p3403 (forall @t502 (=> @t190 (=> @t3172 (=> @t3276 (=> @t3131 (=> @t3644 (= (tptp.hAPP (tptp.hAPP @t2286 @t3694) @t3698) (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 (tptp.hAPP @t4541 (tptp.hAPP @t4602 (tptp.hAPP @t4611 (tptp.hAPP (tptp.hAPP @t4610 (tptp.hAPP @t4609 (tptp.hAPP @t4608 (tptp.hAPP @t4606 (tptp.hAPP @t4604 @t2286))))) @t4603))))))))))))) % 54.38/54.68 (assume @p3404 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3276 (= (tptp.hAPP @t2287 @t3694) (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 (tptp.hAPP @t4541 (tptp.hAPP @t4602 (tptp.hAPP (tptp.hAPP @t3315 (tptp.hAPP @t4600 (tptp.hAPP @t3981 (tptp.hAPP @t4599 @t2287)))) @t3915)))))))))) % 54.38/54.68 (assume @p3405 (forall @t3118 (= (tptp.c_Nitpick_Oprod @t17 @t67 @t226 @t230) (tptp.hAPP @t4571 (tptp.hAPP @t2179 @t4640))))) % 54.38/54.68 (assume @p3406 (forall @t4644 (= @t4643 (tptp.hAPP @t4642 (tptp.hAPP @t2133 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t2130 @t2130) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1991 @t2132 tptp.tc_Int_Oint) @t1989) @t4641)) @t512)))))) % 54.38/54.68 (assume @p3407 (forall @t4644 (= @t4645 (tptp.hAPP @t4642 (tptp.hAPP @t2133 (tptp.hAPP (tptp.hAPP @t2389 (tptp.hAPP @t1993 @t4641)) @t512)))))) % 54.38/54.68 (assume @p3408 (forall @t1756 (= @t4647 (tptp.c_Relation_Orefl__on @t17 @t4275 @t4646)))) % 54.38/54.68 (assume @p3409 (forall (@list @t230 @t226 @t1 @t2 @t67 @t17 @t1945) (=> (tptp.class_Rings_Osemiring__0 @t1945) (=> (tptp.c_Fun_Oinj__on @t2172 @t1945 (tptp.hAPP @t2175 @t4649) @t4430) (= (tptp.hAPP (tptp.hAPP @t4490 (tptp.hAPP (tptp.hAPP @t4487 @t2) @t226)) (tptp.hAPP (tptp.hAPP @t4485 @t1) @t230)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1945 @t1945) (tptp.c_Fun_Oid @t1945)) (tptp.hAPP (tptp.c_Set_OCollect @t1945) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 tptp.tc_HOL_Obool @t1945) @t4601) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2435 @t231 @t1945) @t4656) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1945 @t2435 @t2435) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4654 (tptp.tc_fun @t2435 @t2435) @t1945) @t4428) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4653 @t4654 @t1945) (tptp.hAPP (tptp.c_COMBB @t4652 @t2483 @t17) @t4582)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2435 @t4653 @t1945) (tptp.hAPP (tptp.c_COMBB @t2423 @t4652 @t17) @t4588)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1945 @t4651 @t2435) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4650 (tptp.tc_fun @t4651 @t2435) @t1945) (tptp.c_COMBB @t2173 @t2423 @t17)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2187 @t4650 @t1945) (tptp.c_COMBB @t1945 tptp.tc_HOL_Obool @t67)) tptp.c_fequal))) @t4649))))) @t4640)))))))))) % 54.38/54.68 (assume @p3410 (forall (@list @t111 @t36 @t2 @t17 @t226) (=> (= @t226 @t4657) (=> @t3478 (=> @t3368 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2421 (tptp.hAPP @t2 @t4573))) @t583)) @t4545)))))) % 54.38/54.68 (assume @p3411 (forall @t558 (tptp.c_Fun_Oinj__on @t17 @t17 @t4658 @t226))) % 54.38/54.68 (assume @p3412 (= @t626 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 54.38/54.68 (assume @p3413 (forall @t558 (= (tptp.hAPP (tptp.c_Set_Ovimage @t17 @t17 @t4658) @t226) @t226))) % 54.38/54.68 (assume @p3414 (forall (@list @t4659 @t10) (= (tptp.hAPP @t4660 @t4659) @t4659))) % 54.38/54.68 (assume @p3415 (forall @t78 (= (tptp.hAPP @t4660 @t28) @t28))) % 54.38/54.68 (assume @p3416 (forall @t3853 (= (tptp.c_Product__Type_Oapfst @t17 @t17 @t67 @t4658) @t4661))) % 54.38/54.68 (assume @p3417 (forall @t4663 (= (tptp.c_Product__Type_Oapsnd @t67 @t67 @t17 @t4662) @t4661))) % 54.38/54.68 (assume @p3418 (forall @t4274 (=> @t4647 (tptp.hBOOL (tptp.hAPP @t4664 @t125))))) % 54.38/54.68 (assume @p3419 (forall @t3853 (= @t4511 @t4661))) % 54.38/54.68 (assume @p3420 (forall @t3853 (= (tptp.c_Product__Type_Omap__pair @t17 @t17 @t67 @t67 @t4658 @t4662) @t4661))) % 54.38/54.68 (assume @p3421 (forall @t3071 (= (tptp.hAPP @t4665 @t3070) @t3070))) % 54.38/54.68 (assume @p3422 (forall @t45 (= (tptp.hAPP @t4665 @t4275) @t4275))) % 54.38/54.68 (assume @p3423 (forall (@list @t2 @t67 @t1945 @t17) (= (tptp.c_Product__Type_Oapfst @t17 @t1945 @t67 @t2) (tptp.c_Product__Type_Omap__pair @t17 @t1945 @t67 @t67 @t2 @t4662)))) % 54.38/54.68 (assume @p3424 (forall (@list @t2 @t17 @t1945 @t67) (= (tptp.c_Product__Type_Oapsnd @t67 @t1945 @t17 @t2) (tptp.c_Product__Type_Omap__pair @t17 @t17 @t67 @t1945 @t4658 @t2)))) % 54.38/54.68 (assume @p3425 (forall @t3853 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t67 @t2172) @t2171) @t4661))) % 54.38/54.68 (assume @p3426 (forall @t4666 (=> @t2861 (=> @t4199 (= @t3199 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t67 @t67) @t4662) @t2818)))))) % 54.38/54.68 (assume @p3427 (forall @t4666 (=> @t3724 (=> @t4199 (= @t3769 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t67 @t67) @t4662) @t2818)))))) % 54.38/54.68 (assume @p3428 (forall (@list @t111 @t2 @t36 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3367 @t4657)) (=> @t3478 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2421 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t4006 @t4657) @t4542)))) @t583)) @t4545))))) % 54.38/54.68 (assume @p3429 (forall (@list @t3067 @t36 @t111 @t17 @t226) (=> (= @t226 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t231 @t4669)) (=> (tptp.c_Orderings_Oorder__class_Omono @t231 @t231 @t4669) (=> @t3436 (=> (forall @t749 (=> (tptp.hBOOL (tptp.hAPP @t4667 @t3067)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 @t3504) @t748)))) @t3368)))))) % 54.38/54.68 (assume @p3430 (forall (@list @t111 @t2 @t346 @t36 @t67 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3411 @t4671)) (=> (tptp.c_Orderings_Oorder__class_Omono @t3442 @t3442 @t2) (=> (forall @t2115 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3410 @t2201) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t4164 @t4671) @t4670)))) @t2111)) (tptp.hBOOL (tptp.hAPP @t4544 @t346))))))) % 54.38/54.68 (assume @p3431 (forall (@list @t359 @t2186 @t2231 @t67 @t2232 @t17) (=> @t3781 (=> (tptp.hBOOL (tptp.hAPP @t3204 @t2231)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1929 @t2231)) (= (tptp.hAPP @t2880 (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t2481 (tptp.hAPP @t3429 @t2232))) @t4596))) (tptp.hAPP @t359 @t3)))) (= (tptp.hAPP (tptp.hAPP @t2753 (tptp.hAPP @t4493 (tptp.hAPP @t4568 (tptp.hAPP (tptp.hAPP @t3305 (tptp.hAPP @t4582 (tptp.hAPP @t4588 (tptp.hAPP @t3584 @t2231)))) @t2186)))) @t2232) (tptp.hAPP (tptp.hAPP @t2672 @t359) @t2231))))))) % 54.38/54.68 (assume @p3432 (forall @t558 (= @t3172 (exists (@list @t16 @t3905) (= @t226 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t17 @t3905) (tptp.hAPP @t4531 (tptp.hAPP @t4528 @t16)))))))) % 54.38/54.68 (assume @p3433 (forall (@list @t2232 @t1753 @t67 @t1945 @t17) (= @t4682 (tptp.hAPP @t4571 (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3372 @t2423 @t17) (tptp.hAPP (tptp.c_COMBB @t2187 tptp.tc_HOL_Obool @t67) (tptp.c_HOL_OEx @t1945))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t3372 @t3372) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4400 (tptp.tc_fun @t3372 @t3372) @t17) (tptp.c_COMBB @t2187 @t2187 @t67)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4680 @t4400 @t17) (tptp.c_COMBS @t1945 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2187 @t4680 @t17) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1991 @t1945) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t4501 @t2187) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4679 (tptp.tc_fun @t4501 @t2187) @t17) (tptp.c_COMBC @t1945 @t4501 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t1945 @t4500) @t4679 @t17) (tptp.hAPP (tptp.c_COMBB @t4500 @t4678 @t1945) @t4677)) @t2190))) @t1753))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 @t4674 @t2187) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4676 (tptp.tc_fun @t4674 @t2187) @t67) (tptp.c_COMBC @t1945 @t4674 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t1945 @t4672) @t4676 @t67) (tptp.hAPP (tptp.c_COMBB @t4672 @t4675 @t1945) @t4673)) (tptp.hAPP (tptp.c_COMBC @t1945 @t67 @t4672) @t2374)))) @t2232)))))))) % 54.38/54.68 (assume @p3434 (forall (@list @t2232 @t55 @t1945 @t1753 @t346 @t36 @t67 @t17) (=> @t3941 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4324 (tptp.hAPP (tptp.hAPP @t2204 @t346) @t55)) @t2232)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4677 (tptp.hAPP (tptp.hAPP @t2190 @t36) @t55)) @t4684)))))) % 54.38/54.68 (assume @p3435 (forall (@list @t1753 @t1936 @t2170 @t2232 @t67 @t1945 @t17) (= (tptp.hAPP @t4685 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2170 @t4674) @t1936) @t1753)) (tptp.hAPP @t4686 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4674 @t3442 @t2170) @t4685) @t1753))))) % 54.38/54.68 (assume @p3436 (forall (@list @t2232 @t1753 @t1936 @t2170 @t67 @t1945 @t17) (= (tptp.hAPP (tptp.hAPP @t4681 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2170 @t4501) @t1936) @t1753)) @t2232) (tptp.hAPP @t4686 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2170 @t4674 @t3442) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4501 (tptp.tc_fun @t4674 @t3442) @t2170) @t4681) @t1753)) @t2232))))) % 54.38/54.68 (assume @p3437 (forall (@list @t3863 @t2909 @t2186 @t67 @t1945 @t17) (= (tptp.hAPP @t4687 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4674) @t2909) @t3863)) (tptp.hAPP (tptp.hAPP @t3449 (tptp.hAPP @t4687 @t2909)) (tptp.hAPP @t4687 @t3863))))) % 54.38/54.68 (assume @p3438 (forall (@list @t2186 @t3863 @t2909 @t67 @t1945 @t17) (= (tptp.hAPP (tptp.hAPP @t4681 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4501) @t2909) @t3863)) @t2186) (tptp.hAPP (tptp.hAPP @t3449 (tptp.hAPP (tptp.hAPP @t4681 @t2909) @t2186)) (tptp.hAPP (tptp.hAPP @t4681 @t3863) @t2186))))) % 54.38/54.68 (assume @p3439 (forall @t4688 (= (tptp.hAPP @t4687 (tptp.c_Orderings_Obot__class_Obot @t4674)) @t3453))) % 54.38/54.68 (assume @p3440 (forall @t4688 (= (tptp.hAPP (tptp.hAPP @t4681 (tptp.c_Orderings_Obot__class_Obot @t4501)) @t2186) @t3453))) % 54.38/54.68 (assume @p3441 (forall (@list @t3863 @t2909 @t2186 @t2170 @t67 @t1945 @t17) (= (tptp.hAPP (tptp.hAPP @t4681 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t17 @t2170 @t1945) @t2186) @t2909)) @t3863) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t17 @t2170 @t67) @t2186) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t2170 @t1945 @t67) @t2909) @t3863))))) % 54.38/54.68 (assume @p3442 (forall (@list @t2232 @t4689 @t1945 @t1753 @t3933 @t67 @t17) (=> @t3934 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4691 @t4689) @t2232)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4690 (tptp.hAPP (tptp.hAPP @t4683 @t3933) @t4689)) @t4684)))))) % 54.38/54.68 (assume @p3443 (forall @t566 (=> (= (tptp.hAPP @t4693 @t230) @t3535) (=> @t4694 (= (tptp.hAPP @t4693 (tptp.hAPP (tptp.hAPP @t3876 @t230) @t563)) @t3535))))) % 54.38/54.68 (assume @p3444 (forall @t3004 (=> @t4694 (=> (= (tptp.hAPP (tptp.hAPP @t4692 @t230) @t563) @t3535) (= (tptp.hAPP (tptp.hAPP @t4692 (tptp.hAPP (tptp.hAPP @t3876 @t226) @t230)) @t563) @t3535))))) % 54.38/54.68 (assume @p3445 (forall (@list @t563 @t2232 @t1945 @t230 @t226 @t1753 @t67 @t17) (=> @t4453 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4691 @t2232) (tptp.hAPP (tptp.hAPP @t4433 @t230) (tptp.hAPP @t4432 @t563)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4690 @t4684) (tptp.hAPP @t4519 (tptp.hAPP @t4516 @t563)))))))) % 54.38/54.68 (assume @p3446 (forall @t3432 (=> @t4701 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4699 (tptp.hAPP (tptp.hAPP @t4698 @t3827) (tptp.hAPP (tptp.hAPP @t4697 (tptp.c_Wellfounded_Omax__ext @t17 @t2909)) @t4696))) @t3827))))) % 54.38/54.68 (assume @p3447 (forall @t3432 (=> @t4701 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4699 (tptp.hAPP (tptp.hAPP @t4698 @t4702) (tptp.hAPP (tptp.hAPP @t4697 (tptp.c_Wellfounded_Omin__ext @t17 @t2909)) @t4696))) @t4702))))) % 54.38/54.68 (assume @p3448 (forall (@list @t176 @t125 @t2232 @t1753 @t1945 @t67 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp @t17 @t67 @t1945 @t4703 (tptp.hAPP @t4329 @t2232)) @t125) @t176)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4677 @t2191) @t4684))))) % 54.38/54.68 (assume @p3449 (forall @t3432 (=> @t4704 (=> @t4701 (tptp.c_FunDef_Oreduction__pair @t17 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t3533 @t3533) @t2186) @t2909)))))) % 54.38/54.68 (assume @p3450 (forall @t4708 (= (tptp.hAPP @t4707 @t4706) (tptp.hAPP @t4541 (tptp.hAPP @t4656 @t4705))))) % 54.38/54.68 (assume @p3451 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 54.38/54.68 (assume @p3452 (forall (@list @t1945 @t67 @t17 @t55 @t2232 @t346 @t36 @t1753) (=> @t2085 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2232 @t346) @t55)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4709 @t36) @t55)))))) % 54.38/54.68 (assume @p3453 (forall @t45 (tptp.c_Wellfounded_Owf @t17 @t3535))) % 54.38/54.68 (assume @p3454 (forall @t4712 (=> @t4711 (tptp.c_Wellfounded_Owf @t67 @t4710)))) % 54.38/54.68 (assume @p3455 (forall (@list @t4713 @t67 @t4714 @t17) (=> (tptp.c_Wellfounded_Owf @t17 @t4714) (=> (tptp.c_Wellfounded_Owf @t67 @t4713) (tptp.c_Wellfounded_Owf @t2172 (tptp.c_Wellfounded_Olex__prod @t17 @t67 @t4714 @t4713)))))) % 54.38/54.68 (assume @p3456 (forall @t51 (tptp.c_Wellfounded_Owf @t17 @t3556))) % 54.38/54.68 (assume @p3457 (forall @t4716 (=> @t3941 (tptp.hBOOL (tptp.hAPP @t3397 @t4715))))) % 54.38/54.68 (assume @p3458 (forall @t4344 (= @t4704 (tptp.c_Wellfounded_Owf @t17 @t4717)))) % 54.38/54.68 (assume @p3459 (forall @t558 (= (tptp.hAPP @t4718 @t3979) @t226))) % 54.38/54.68 (assume @p3460 (forall @t45 (tptp.c_Wellfounded_Owf @t231 @t3688))) % 54.38/54.68 (assume @p3461 (forall (@list @t2 @t2186 @t17) (=> @t4704 (tptp.c_Wellfounded_Owf @t17 @t3578)))) % 54.38/54.68 (assume @p3462 (forall @t1756 (=> @t4711 (tptp.c_Wellfounded_Owf @t231 (tptp.c_Wellfounded_Omin__ext @t17 @t1753))))) % 54.38/54.68 (assume @p3463 (forall (@list @t3664 @t2105 @t2232 @t1753 @t1945 @t67 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4709 @t2105) @t3664)) (exists @t3569 (and (tptp.hBOOL (tptp.hAPP @t4719 @t2108)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2232 @t2108) @t3664))))))) % 54.38/54.68 (assume @p3464 (forall @t4720 (=> @t4711 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 @t1882) @t1753)) (tptp.c_Wellfounded_Owf @t17 @t1882))))) % 54.38/54.68 (assume @p3465 (tptp.c_Wellfounded_Owf @t2254 tptp.c_FunDef_Opair__less)) % 54.38/54.68 (assume @p3466 (forall @t1756 (=> @t4711 (tptp.c_Wellfounded_Owf @t231 (tptp.c_Wellfounded_Omax__ext @t17 @t1753))))) % 54.38/54.68 (assume @p3467 (forall @t4721 (=> @t4711 (tptp.c_Wellfounded_Owf @t17 (tptp.hAPP @t4185 @t3933))))) % 54.38/54.68 (assume @p3468 (forall @t4721 (=> @t4711 (tptp.c_Wellfounded_Owf @t17 (tptp.hAPP (tptp.hAPP @t4184 @t3933) @t1753))))) % 54.38/54.68 (assume @p3469 (forall @t2084 (=> @t4711 (not @t4190)))) % 54.38/54.68 (assume @p3470 (forall (@list @t125 @t36 @t1753 @t17) (=> @t4711 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t3685 @t125)) @t1753)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t3557 @t36)) @t1753))))))) % 54.38/54.68 (assume @p3471 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t4723 (tptp.hAPP @t4722 @t60)))) % 54.38/54.68 (assume @p3472 (forall @t4644 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4645))) % 54.38/54.68 (assume @p3473 (forall @t4644 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4643))) % 54.38/54.68 (assume @p3474 (forall @t4274 (=> @t4711 @t4272))) % 54.38/54.68 (assume @p3475 (forall @t1756 (= @t4711 (forall @t7 @t4318)))) % 54.38/54.68 (assume @p3476 (forall @t4344 (=> (= @t4717 @t3535) @t4704))) % 54.38/54.68 (assume @p3477 (forall @t3432 (= @t4726 (tptp.c_Wellfounded_Owf @t17 (tptp.hAPP (tptp.hAPP @t3876 (tptp.hAPP (tptp.hAPP @t3876 @t4717) (tptp.hAPP (tptp.hAPP @t4692 @t2909) @t2186))) @t2909))))) % 54.38/54.68 (assume @p3478 (forall @t4663 (= (tptp.hAPP @t4707 @t4727) @t3254))) % 54.38/54.68 (assume @p3479 (forall @t4729 (= (= @t4728 @t3254) (= @t1753 @t4727)))) % 54.38/54.68 (assume @p3480 (forall @t3284 (= (tptp.hAPP @t4707 (tptp.hAPP (tptp.hAPP @t3936 @t226) @t230)) (tptp.hAPP (tptp.hAPP @t2923 @t4731) @t4730)))) % 54.38/54.68 (assume @p3481 (forall @t4733 (=> @t4732 (tptp.hBOOL (tptp.hAPP @t3204 @t4715))))) % 54.38/54.68 (assume @p3482 (forall @t3929 (= (tptp.hAPP (tptp.c_Set_Oimage @t2395 @t17 @t2243) @t2186) (tptp.hAPP @t4707 @t2186)))) % 54.38/54.68 (assume @p3483 (forall @t1756 (= @t4711 (not (exists @t3906 (forall @t1268 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP @t3539 (tptp.hAPP @t3905 @t1883)) (tptp.hAPP @t3905 @t1264))) @t1753)))))))) % 54.38/54.68 (assume @p3484 (forall (@list @t226 @t2186 @t17) (=> @t4704 (=> (tptp.hBOOL (tptp.hAPP @t233 (tptp.hAPP @t4734 @t226))) @t3264)))) % 54.38/54.68 (assume @p3485 (forall @t3432 (=> @t4704 (=> @t4735 (=> @t4701 @t4726))))) % 54.38/54.68 (assume @p3486 (forall @t4736 (= (tptp.hBOOL (tptp.hAPP @t3367 @t4728)) (exists @t4157 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3943 (tptp.hAPP (tptp.hAPP @t2261 @t283) @t36)) @t1753)))))) % 54.38/54.68 (assume @p3487 (forall @t45 (=> @t3594 (tptp.c_Wellfounded_Owf @t17 (tptp.hAPP @t4634 (tptp.hAPP @t3982 @t185)))))) % 54.38/54.68 (assume @p3488 (forall @t3595 (= @t3840 (and (tptp.c_Wellfounded_Owf @t17 @t4737) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 (tptp.hAPP (tptp.hAPP @t4692 @t4737) @t4738)) @t4737)))))) % 54.38/54.68 (assume @p3489 (forall (@list @t2909 @t2186 @t111 @t17) (=> @t3840 (=> (tptp.hBOOL (tptp.hAPP @t4740 @t4737)) (=> (tptp.hBOOL (tptp.hAPP @t4739 @t4738)) (=> @t4735 @t4726)))))) % 54.38/54.68 (assume @p3490 (forall (@list @t1753 @t346 @t36 @t17 @t67) (= (tptp.hAPP @t4707 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t2395) @t3951) @t1753)) (tptp.hAPP @t3162 @t4728)))) % 54.38/54.68 (assume @p3491 (forall @t3118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP @t4707 (tptp.hAPP (tptp.hAPP @t4741 @t226) @t230))) (tptp.hAPP (tptp.hAPP @t4006 @t4731) @t4730))))) % 54.38/54.68 (assume @p3492 (forall @t3118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP (tptp.hAPP @t1221 @t4731) @t4730)) (tptp.hAPP @t4707 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3935) @t226) @t230)))))) % 54.38/54.68 (assume @p3493 (forall @t4712 (=> @t4711 (=> @t4293 (tptp.c_Wellfounded_Owf @t67 (tptp.hAPP (tptp.c_Set_Oimage @t3532 @t3683 (tptp.c_Product__Type_Omap__pair @t17 @t67 @t17 @t67 @t2 @t2)) @t1753)))))) % 54.38/54.68 (assume @p3494 (forall @t4302 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t17 @t67 @t4703) @t125)) (tptp.hBOOL (tptp.hAPP @t3388 @t4715))))) % 54.38/54.68 (assume @p3495 (forall @t1756 (=> @t4711 (tptp.c_Wellfounded_Owf @t4743 @t4742)))) % 54.38/54.68 (assume @p3496 (forall (@list @t1753 @t67 @t346 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3387 @t4728)) (not (forall @t7 (not @t3944)))))) % 54.38/54.68 (assume @p3497 (forall @t4745 (=> @t2085 (tptp.hBOOL (tptp.hAPP @t4744 @t346))))) % 54.38/54.68 (assume @p3498 (forall (@list @t3574 @t1753 @t67 @t17) (= (tptp.hBOOL (tptp.hAPP @t4744 @t3574)) (exists @t4495 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1753 @t2109) @t3574)))))) % 54.38/54.68 (assume @p3499 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t4723 (tptp.hAPP @t4722 (tptp.hAPP (tptp.hAPP @t4746 (tptp.hAPP @t2624 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 54.38/54.68 (assume @p3500 (forall @t1756 (=> @t4711 (tptp.c_Wellfounded_Owf @t4743 @t4747)))) % 54.38/54.68 (assume @p3501 (forall @t4750 (=> @t4711 (tptp.c_Wellfounded_Owf @t4743 @t4749)))) % 54.38/54.68 (assume @p3502 (forall @t1756 (= @t4747 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t4752) @t4289) @t4748)))) % 54.38/54.68 (assume @p3503 (forall @t1756 (= (tptp.hAPP @t4748 @t56) (tptp.c_Orderings_Obot__class_Obot @t4752)))) % 54.38/54.68 (assume @p3504 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 54.38/54.68 (assume @p3505 (forall @t3875 (=> @t4711 (=> (tptp.c_Wellfounded_Owf @t17 @t2232) (=> (= (tptp.hAPP (tptp.hAPP @t4006 @t4754) (tptp.hAPP @t4718 @t2232)) @t3254) (tptp.c_Wellfounded_Owf @t17 @t3878)))))) % 54.38/54.68 (assume @p3506 (forall (@list @t17 @t2186 @t67 @t111) (=> (forall @t7 (=> @t583 (tptp.c_Wellfounded_Owf @t67 @t4340))) (tptp.c_Wellfounded_Owf @t2172 @t3703)))) % 54.38/54.68 (assume @p3507 (forall (@list @t17 @t1 @t2 @t111) (=> (forall @t7 (=> @t583 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t2 @t4)) @t5)))) (tptp.c_Wellfounded_Owf @t17 (tptp.hAPP @t4634 (tptp.hAPP @t3982 (tptp.hAPP (tptp.hAPP @t3962 @t4548) (tptp.hAPP @t4599 @t1)))))))) % 54.38/54.68 (assume @p3508 (forall @t4716 (=> @t3941 @t4757))) % 54.38/54.68 (assume @p3509 (forall @t558 (= (tptp.hAPP @t4753 @t3979) @t226))) % 54.38/54.68 (assume @p3510 (forall @t4733 (= (= @t4756 @t3254) (= @t1753 @t3453)))) % 54.38/54.68 (assume @p3511 (forall @t3853 (= (tptp.hAPP @t4755 @t3453) @t3254))) % 54.38/54.68 (assume @p3512 (forall @t4759 (=> @t4758 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t4756) (tptp.hAPP @t4755 @t2232)))))) % 54.38/54.68 (assume @p3513 (forall @t3118 (= (tptp.hAPP @t4755 (tptp.hAPP (tptp.hAPP @t3449 @t226) @t230)) (tptp.hAPP (tptp.hAPP @t2923 @t4761) @t4760)))) % 54.38/54.68 (assume @p3514 (forall @t4733 (=> @t4732 (tptp.hBOOL (tptp.hAPP @t3130 @t4756))))) % 54.38/54.68 (assume @p3515 (forall @t4762 (= (tptp.hAPP (tptp.c_Set_Oimage @t2172 @t17 @t2226) @t2186) (tptp.hAPP @t4755 @t2186)))) % 54.38/54.68 (assume @p3516 (forall @t4736 (= @t4757 (exists @t4157 @t4763)))) % 54.38/54.68 (assume @p3517 (forall @t4716 (= (tptp.hAPP @t4755 (tptp.hAPP @t4463 @t1753)) (tptp.hAPP @t3145 @t4756)))) % 54.38/54.68 (assume @p3518 (forall @t3118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP @t4755 (tptp.hAPP (tptp.hAPP @t4164 @t226) @t230))) (tptp.hAPP (tptp.hAPP @t4006 @t4761) @t4760))))) % 54.38/54.68 (assume @p3519 (forall @t3118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP (tptp.hAPP @t1221 @t4761) @t4760)) (tptp.hAPP @t4755 (tptp.hAPP (tptp.hAPP @t4419 @t226) @t230)))))) % 54.38/54.68 (assume @p3520 (forall @t1756 (= @t3859 (tptp.hAPP (tptp.hAPP @t2923 @t4754) @t4764)))) % 54.38/54.68 (assume @p3521 (forall @t2461 (= (tptp.hAPP @t4755 @t4670) (tptp.hAPP @t4541 (tptp.hAPP @t4656 @t111))))) % 54.38/54.68 (assume @p3522 (forall @t4302 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t17 @t67 @t4703) @t125)) (tptp.hBOOL (tptp.hAPP @t3349 @t4756))))) % 54.38/54.68 (assume @p3523 (forall @t4736 (=> @t4757 (not (forall @t4157 (not @t4763)))))) % 54.38/54.68 (assume @p3524 (forall @t1756 (= @t4765 (tptp.c_Wellfounded_Owf @t17 @t4646)))) % 54.38/54.68 (assume @p3525 (forall @t4745 (=> @t2085 (tptp.hBOOL (tptp.hAPP @t4766 @t36))))) % 54.38/54.68 (assume @p3526 (forall @t45 (tptp.c_Wellfounded_OwfP @t17 (tptp.hAPP @t4443 @t4559)))) % 54.38/54.68 (assume @p3527 (forall @t1756 (= @t4765 (forall @t686 (tptp.hBOOL (tptp.hAPP @t2081 @t684)))))) % 54.38/54.68 (assume @p3528 (forall @t4274 (=> @t4765 (tptp.hBOOL (tptp.hAPP @t2081 @t125))))) % 54.38/54.68 (assume @p3529 (forall @t4720 (=> @t4765 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2089 @t1882) @t1753)) (tptp.c_Wellfounded_OwfP @t17 @t1882))))) % 54.38/54.68 (assume @p3530 (forall (@list @t2105 @t1753 @t67 @t17) (= (tptp.hBOOL (tptp.hAPP @t4766 @t2105)) (exists @t686 (tptp.hBOOL (tptp.hAPP @t4719 @t684)))))) % 54.38/54.68 (assume @p3531 (forall @t4344 (=> @t4704 (tptp.c_Wellfounded_OwfP @t17 (tptp.c_FunDef_Oin__rel @t17 @t17 @t2186))))) % 54.38/54.68 (assume @p3532 (forall @t1756 (= (tptp.c_Wellfounded_OwfP @t17 @t4273) @t4711))) % 54.38/54.68 (assume @p3533 (forall @t1756 (=> @t4765 @t4767))) % 54.38/54.68 (assume @p3534 (forall @t3235 (=> @t3173 (=> (tptp.hBOOL (tptp.hAPP @t3204 @t2819)) (exists @t7 (and @t2422 (not (tptp.hBOOL (tptp.hAPP @t3130 (tptp.hAPP @t4541 (tptp.hAPP @t4234 (tptp.hAPP @t4232 @t5)))))))))))) % 54.38/54.68 (assume @p3535 (forall @t1310 (not (forall @t4157 (=> (= @t125 @t4769) (not @t4768)))))) % 54.38/54.68 (assume @p3536 (forall @t4771 (=> (tptp.c_Wellfounded_Oacyclic @t17 @t2232) (=> @t3874 @t4770)))) % 54.38/54.68 (assume @p3537 (forall @t1756 (=> @t4711 @t4770))) % 54.38/54.68 (assume @p3538 (forall @t1756 (=> @t3880 (=> @t4770 @t4711)))) % 54.38/54.68 (assume @p3539 (forall @t1756 (=> @t3880 (= @t4711 @t4770)))) % 54.38/54.68 (assume @p3540 (forall @t1756 (= (tptp.c_Nitpick_Owf_H @t17 @t1753) (and @t4770 (or @t3880 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 54.38/54.68 (assume @p3541 (forall (@list @t125 @t111) (=> (forall @t4157 (=> @t4768 (tptp.hBOOL (tptp.hAPP @t111 @t4769)))) @t2433))) % 54.38/54.68 (assume @p3542 (forall @t3223 (=> @t3172 (=> @t4496 @t3222)))) % 54.38/54.68 (assume @p3543 (forall (@list @t359 @t3151) (=> (forall @t7 (=> @t3152 (tptp.hBOOL (tptp.hAPP @t923 @t3)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3237 @t359) @t3151)))) % 54.38/54.68 (assume @p3544 (forall (@list @t17 @t1753 @t67) (=> (forall @t1268 (tptp.c_Wellfounded_OwfP @t67 @t4773)) (=> (forall @t1404 (=> (not (= @t4773 @t4772)) (= (tptp.hAPP (tptp.hAPP @t4090 (tptp.c_Predicate_ODomainP @t67 @t67 @t4773)) (tptp.c_Predicate_ORangeP @t67 @t67 @t4772)) @t3265))) (tptp.c_Wellfounded_OwfP @t67 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t17 (tptp.tc_fun @t67 @t2423)) @t4275) @t1753)))))) % 54.38/54.68 (assume @p3545 (forall (@list @t55 @t522 @t1945 @t67 @t17 @t1882) (=> (forall @t2115 (=> (= @t1882 @t2201) (tptp.hBOOL (tptp.hAPP @t4774 (tptp.hAPP (tptp.hAPP @t55 @t2109) @t2108))))) (tptp.hBOOL (tptp.hAPP @t4774 (tptp.hAPP (tptp.hAPP @t2188 @t55) @t1882)))))) % 54.38/54.68 (assume @p3546 (forall (@list @t1882 @t55 @t1945 @t67 @t522 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3408 (tptp.hAPP @t3407 @t1882))) (not (forall @t287 (=> (= @t1882 (tptp.hAPP (tptp.hAPP @t2204 @t3) @t283)) (not (tptp.hBOOL (tptp.hAPP @t3408 (tptp.hAPP (tptp.hAPP @t55 @t3) @t283)))))))))) % 54.38/54.68 (assume @p3547 (forall (@list @t230 @t226 @t2 @t1945 @t67 @t17) (= (tptp.hAPP (tptp.c_Set_Ovimage @t17 @t2169 @t2) @t4434) (tptp.hAPP (tptp.hAPP @t4006 (tptp.hAPP (tptp.c_Set_Ovimage @t17 @t67 (tptp.hAPP (tptp.c_Fun_Ocomp @t2169 @t67 @t17 @t2223) @t2)) @t226)) (tptp.hAPP (tptp.c_Set_Ovimage @t17 @t1945 (tptp.hAPP (tptp.c_Fun_Ocomp @t2169 @t1945 @t17 @t2221) @t2)) @t230))))) % 54.38/54.68 (assume @p3548 (forall (@list @t1 @t17 @t67) (= (tptp.hAPP @t4775 @t1) @t1))) % 54.38/54.68 (assume @p3549 (forall @t3288 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t17 @t67 @t17 @t2) @t4658) @t2))) % 54.38/54.68 (assume @p3550 (forall @t4779 (=> (= @t4778 (tptp.hAPP @t4775 @t55)) @t4777))) % 54.38/54.68 (assume @p3551 (forall @t3725 (=> @t4525 @t4781))) % 54.38/54.68 (assume @p3552 (forall (@list @t125 @t2 @t1 @t1945 @t67 @t17) (= (tptp.hAPP (tptp.c_Set_Ovimage @t17 @t67 @t4782) @t125) (tptp.hAPP (tptp.c_Set_Ovimage @t17 @t1945 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t1945 @t67 @t1) @t125))))) % 54.38/54.68 (assume @p3553 (forall (@list @t125 @t1 @t2 @t1945 @t17 @t67) (= @t4784 @t3561))) % 54.38/54.68 (assume @p3554 (forall (@list @t53 @t1 @t2170 @t2 @t17 @t67 @t1945) (= (tptp.hAPP @t4786 (tptp.hAPP (tptp.c_Fun_Ocomp @t2170 @t1945 @t17 @t1) @t53)) (tptp.hAPP (tptp.c_Fun_Ocomp @t2170 @t67 @t17 @t4785) @t53)))) % 54.38/54.68 (assume @p3555 (forall (@list @t751 @t863 @t55 @t2170 @t346 @t36 @t17 @t67 @t1945) (=> @t4787 (= @t4776 (tptp.hAPP @t55 (tptp.hAPP @t863 @t751)))))) % 54.38/54.68 (assume @p3556 (forall (@list @t863 @t55 @t2170 @t346 @t36 @t17 @t67 @t1945) (=> @t4787 (forall (@list @t4788) (= (tptp.hAPP @t36 (tptp.hAPP @t346 @t4788)) (tptp.hAPP @t55 (tptp.hAPP @t863 @t4788))))))) % 54.38/54.68 (assume @p3557 (forall @t2385 (= (tptp.hAPP @t2375 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2170 @t1945 @t67 @t1) @t125)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2170 @t17 @t67 (tptp.hAPP (tptp.c_Fun_Ocomp @t1945 @t17 @t2170 @t2) @t1)) @t125)))) % 54.38/54.68 (assume @p3558 (forall @t2343 (= (tptp.hAPP @t2192 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2170 @t1945 @t17 @t1) @t125)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2170 @t67 @t17 @t4785) @t125)))) % 54.38/54.68 (assume @p3559 (forall (@list @t2168 @t2170 @t1945 @t17 @t67 @t4789 @t4790 @t4791 @t125 @t1 @t2) (=> (= @t3561 (tptp.hAPP @t4791 (tptp.hAPP @t4790 @t4789))) (= @t4784 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t2170 @t17 @t2168 @t4791) @t4790) @t4789))))) % 54.38/54.68 (assume @p3560 (forall (@list @t176 @t125 @t1 @t2 @t17 @t67 @t1945) (= (tptp.hAPP @t4786 (tptp.c_Fun_Ofun__upd @t17 @t1945 @t1 @t125 @t176)) (tptp.c_Fun_Ofun__upd @t17 @t67 @t4792 @t125 @t195)))) % 54.38/54.68 (assume @p3561 (forall (@list @t125 @t2 @t55 @t1945 @t17 @t67) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t17 @t1945 @t4365) @t2) @t125) @t55))) % 54.38/54.68 (assume @p3562 (forall @t4779 (=> (= @t4778 @t55) @t4777))) % 54.38/54.68 (assume @p3563 (forall (@list @t4793 @t31 @t53 @t2400 @t2168 @t1 @t2 @t67 @t2170 @t17 @t1945) (= (tptp.hAPP @t4510 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t2168 @t1945 @t2400 @t2170 @t53 @t31) @t4793)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t2168 @t17 @t2400 @t67 (tptp.hAPP (tptp.c_Fun_Ocomp @t1945 @t17 @t2168 @t2) @t53) (tptp.hAPP (tptp.c_Fun_Ocomp @t2170 @t67 @t2400 @t1) @t31)) @t4793)))) % 54.38/54.68 (assume @p3564 (forall (@list @t4794 @t4795 @t2400 @t40 @t42 @t2168 @t2170 @t67 @t1945 @t17) (= (tptp.c_Product__Type_Omap__pair @t17 @t1945 @t67 @t2170 (tptp.hAPP (tptp.c_Fun_Ocomp @t2168 @t1945 @t17 @t42) @t40) (tptp.hAPP (tptp.c_Fun_Ocomp @t2400 @t2170 @t67 @t4795) @t4794)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4796 @t2404 @t2172 (tptp.c_Product__Type_Omap__pair @t2168 @t1945 @t2400 @t2170 @t42 @t4795)) (tptp.c_Product__Type_Omap__pair @t17 @t2168 @t67 @t2400 @t40 @t4794))))) % 54.38/54.68 (assume @p3565 (forall (@list @t31 @t53 @t1 @t2 @t67 @t17 @t2170 @t1945 @t2400 @t2168) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4796 @t2404 @t2172 (tptp.c_Product__Type_Omap__pair @t2168 @t1945 @t2400 @t2170 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t17 @t2168 @t67 @t2400 @t53 @t31)) (tptp.c_Product__Type_Omap__pair @t17 @t1945 @t67 @t2170 (tptp.hAPP (tptp.c_Fun_Ocomp @t2168 @t1945 @t17 @t2) @t53) (tptp.hAPP (tptp.c_Fun_Ocomp @t2400 @t2170 @t67 @t1) @t31))))) % 54.38/54.68 (assume @p3566 (forall (@list @t1753 @t1 @t2 @t1945 @t17 @t67) (= (tptp.hAPP (tptp.c_Set_Oimage @t67 @t17 (tptp.hAPP (tptp.c_Fun_Ocomp @t1945 @t17 @t67 @t2) @t1)) @t1753) (tptp.hAPP @t4280 (tptp.hAPP @t4279 @t1753))))) % 54.38/54.68 (assume @p3567 (forall (@list @t1 @t1945 @t2 @t17 @t67) (=> @t4311 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t17 @t1945 @t1) @t4275) @t4504) (= (tptp.hAPP (tptp.c_Set_Oimage @t67 @t1945 (tptp.hAPP (tptp.c_Fun_Ocomp @t17 @t1945 @t67 @t1) @t2)) @t4278) @t4504))))) % 54.38/54.68 (assume @p3568 (forall (@list @t226 @t2 @t4791 @t1945 @t67 @t17) (=> (tptp.c_Fun_Oinj__on @t17 @t67 (tptp.hAPP (tptp.c_Fun_Ocomp @t1945 @t67 @t17 @t4791) @t2) @t226) (tptp.c_Fun_Oinj__on @t17 @t1945 @t2 @t226)))) % 54.38/54.68 (assume @p3569 (forall @t4526 (=> @t4293 (=> (tptp.c_Fun_Oinj__on @t1945 @t17 @t1 @t4504) (tptp.c_Fun_Oinj__on @t1945 @t67 @t4797 @t4504))))) % 54.38/54.68 (assume @p3570 (forall (@list @t226 @t2 @t1 @t1945 @t67 @t17) (=> (tptp.c_Fun_Oinj__on @t17 @t67 @t4782 @t226) (tptp.c_Fun_Oinj__on @t1945 @t67 @t1 (tptp.hAPP @t4594 @t226))))) % 54.38/54.68 (assume @p3571 (forall (@list @t1 @t1945 @t226 @t2 @t67 @t17) (=> @t4200 (=> (tptp.c_Fun_Oinj__on @t67 @t1945 @t1 @t2819) (tptp.c_Fun_Oinj__on @t17 @t1945 (tptp.hAPP @t4798 @t2) @t226))))) % 54.38/54.68 (assume @p3572 (forall (@list @t4791 @t1945 @t226 @t2 @t67 @t17) (=> @t4200 (= (tptp.c_Fun_Oinj__on @t67 @t1945 @t4791 @t2819) (tptp.c_Fun_Oinj__on @t17 @t1945 (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t1945 @t17 @t4791) @t2) @t226))))) % 54.38/54.68 (assume @p3573 (forall @t4802 (=> @t4488 (=> @t4199 (= (tptp.hAPP @t4801 @t2818) (tptp.hAPP @t4800 @t230)))))) % 54.38/54.68 (assume @p3574 (forall @t4806 (=> @t4483 (=> @t4200 (=> @t4805 (=> (= @t1 @t4799) @t4804)))))) % 54.38/54.68 (assume @p3575 (forall @t4802 (=> @t4483 (=> @t4199 (= (tptp.hAPP @t4803 @t2818) (tptp.hAPP (tptp.hAPP @t4482 @t4799) @t230)))))) % 54.38/54.68 (assume @p3576 (forall @t4810 (=> @t2861 (=> @t3172 (=> @t4809 (= (tptp.hAPP @t2859 @t4808) (tptp.hAPP (tptp.hAPP @t2858 @t4807) @t226))))))) % 54.38/54.68 (assume @p3577 (forall @t4810 (=> @t3724 (=> @t3172 (=> @t4809 (= (tptp.hAPP @t3755 @t4808) (tptp.hAPP (tptp.hAPP @t3722 @t4807) @t226))))))) % 54.38/54.68 (assume @p3578 (forall (@list @t125 @t226 @t1 @t1945 @t2 @t67 @t17) (=> (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t4811) (=> (tptp.c_Fun_Oinj__on @t1945 @t17 @t1 @t226) (=> (tptp.hBOOL (tptp.hAPP @t3388 (tptp.hAPP @t2817 @t4811))) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t1945 @t67 @t226 @t4797) @t125) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t17 @t1945 @t67 (tptp.c_Fun_Othe__inv__into @t1945 @t17 @t226 @t1)) (tptp.c_Fun_Othe__inv__into @t17 @t67 @t4811 @t2)) @t125))))))) % 54.38/54.68 (assume @p3579 (forall (@list @t522 @t1 @t53 @t67 @t226 @t17 @t1945) (=> (tptp.class_Groups_Oab__semigroup__mult @t1945) (=> @t3172 (=> (tptp.c_Fun_Oinj__on @t17 @t67 @t53 @t226) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4491 @t1) @t522) (tptp.hAPP @t3213 @t226)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4492 (tptp.hAPP @t4798 @t53)) @t522) @t226))))))) % 54.38/54.68 (assume @p3580 (forall @t45 (= @t2441 (tptp.hAPP (tptp.c_Fun_Ocomp @t1978 tptp.tc_Int_Oint @t17 @t2213) @t4812)))) % 54.38/54.68 (assume @p3581 (forall @t45 (= @t2444 (tptp.hAPP (tptp.c_Fun_Ocomp @t1978 tptp.tc_Int_Oint @t17 @t2219) @t4812)))) % 54.38/54.68 (assume @p3582 (forall (@list @t1 @t2 @t67 @t17 @t2170 @t1945) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t2404 @t1945 @t2172 @t2383) @t4506) (tptp.hAPP (tptp.c_Fun_Ocomp @t17 @t1945 @t2172 @t2) @t2226)))) % 54.38/54.68 (assume @p3583 (forall (@list @t1 @t2 @t67 @t17 @t1945 @t2170) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4813 @t1945 @t2172 @t2341) (tptp.c_Product__Type_Omap__pair @t17 @t2170 @t67 @t1945 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t1945 @t2172 @t1) @t2225)))) % 54.38/54.68 (assume @p3584 (forall (@list @t2 @t1 @t1945 @t226 @t17 @t67) (= (tptp.hAPP @t3090 (tptp.hAPP (tptp.c_Fun_Ocomp @t1945 @t231 @t67 @t1) @t2)) (tptp.hAPP @t3101 @t1)))) % 54.38/54.68 (assume @p3585 (forall (@list @t125 @t1 @t2 @t2170 @t17 @t1945 @t67) (= (tptp.hAPP (tptp.hAPP @t2166 (tptp.hAPP (tptp.c_Fun_Ocomp @t2170 @t1949 @t67 @t2) @t1)) @t125) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t2223 @t125))) @t2242)))) % 54.38/54.68 (assume @p3586 (= @t1743 (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))) % 54.38/54.68 (assume @p3587 (= 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 @t509) tptp.c_Code__Numeral_Onat__of))) % 54.38/54.68 (assume @p3588 (forall @t4816 (=> @t4815 (=> @t3172 (=> @t3350 (= @t3458 @t4814)))))) % 54.38/54.68 (assume @p3589 (forall (@list @t1 @t53 @t226 @t3180 @t522 @t2 @t67 @t17) (=> @t4817 (=> @t3563 (=> (tptp.c_Fun_Oinj__on @t67 @t67 @t53 @t226) (= (tptp.hAPP @t4252 (tptp.hAPP (tptp.c_Set_Oimage @t67 @t67 @t53) @t226)) (tptp.hAPP (tptp.hAPP @t3180 (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t17 @t67 @t1) @t53)) @t226))))))) % 54.38/54.68 (assume @p3590 (forall (@list @t53 @t1 @t2400 @t2 @t1945 @t2170 @t2168 @t3180 @t2456 @t67 @t17) (=> (tptp.c_Finite__Set_Ofolding @t17 @t67 @t2456 @t3180) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t2168 @t2170 @t1945 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t2400 @t2168 @t1945 @t1) @t53)) (tptp.hAPP (tptp.c_Fun_Ocomp @t2400 @t2170 @t1945 (tptp.hAPP (tptp.c_Fun_Ocomp @t2168 @t2170 @t2400 @t2) @t1)) @t53))))) % 54.38/54.68 (assume @p3591 (forall (@list @t125 @t176 @t3180 @t2 @t67 @t17) (=> @t4815 (= @t4819 @t4818)))) % 54.38/54.68 (assume @p3592 (forall (@list @t1 @t125 @t176 @t1945 @t3180 @t2 @t67 @t17) (=> @t4815 (= (tptp.hAPP @t4820 @t4822) (tptp.hAPP @t4821 (tptp.hAPP @t4820 @t1)))))) % 54.38/54.68 (assume @p3593 (forall (@list @t53 @t1 @t226 @t3180 @t522 @t2 @t67 @t17) (=> @t4817 (=> @t3563 (= (tptp.hAPP (tptp.hAPP @t3180 (tptp.hAPP (tptp.hAPP @t2693 @t4823) @t53)) @t226) (tptp.hAPP (tptp.hAPP @t2 @t4253) (tptp.hAPP (tptp.hAPP @t3180 @t53) @t226))))))) % 54.38/54.68 (assume @p3594 (forall @t4816 (=> @t4815 (=> @t3172 (= (tptp.hAPP @t4780 @t3458) @t4825))))) % 54.38/54.68 (assume @p3595 (forall (@list @t1 @t125 @t1945 @t226 @t3180 @t2 @t67 @t17) (=> @t4815 (=> @t3172 (= (tptp.hAPP @t4821 @t4827) (tptp.hAPP @t4826 @t4822)))))) % 54.38/54.68 (assume @p3596 (forall @t4829 (=> @t4815 (=> @t3172 (=> @t3131 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t67 @t67 @t3894) @t3458) @t4828)))))) % 54.38/54.68 (assume @p3597 (forall (@list @t1 @t1945 @t230 @t226 @t3180 @t2 @t67 @t17) (=> @t4815 (=> @t3172 (=> @t3131 (= (tptp.hAPP @t4830 @t4827) (tptp.hAPP @t4826 (tptp.hAPP @t4830 @t1)))))))) % 54.38/54.68 (assume @p3598 (forall (@list @t3180 @t2 @t67 @t17) (=> @t4815 (= (tptp.hAPP @t3180 @t3254) @t4662)))) % 54.38/54.68 (assume @p3599 (forall @t4257 (=> @t4817 @t4255))) % 54.38/54.68 (assume @p3600 (forall @t4816 (=> @t4815 (=> @t3172 (=> @t3352 @t4831))))) % 54.38/54.68 (assume @p3601 (forall @t4829 (=> @t4815 (=> @t3172 (=> @t3131 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t67 @t67 @t3896) @t4134) @t4828)))))) % 54.38/54.68 (assume @p3602 (forall @t4816 (=> @t4815 (=> @t3172 (= @t3355 @t4814))))) % 54.38/54.68 (assume @p3603 (forall @t4829 (=> @t4815 (=> @t3172 (=> @t3131 (=> @t4073 @t4832)))))) % 54.38/54.68 (assume @p3604 (forall (@list @t67 @t53 @t2 @t2909 @t17 @t1945) (=> @t4488 (=> @t3500 (=> (forall @t7 (=> @t3587 (forall @t4157 (=> (tptp.hBOOL (tptp.hAPP @t4155 @t2909)) (=> (not @t4833) (=> @t4154 (= (tptp.hAPP @t53 @t5) (tptp.c_Groups_Ozero__class_Ozero @t1945)))))))) (= (tptp.hAPP @t4801 @t3583) (tptp.hAPP @t4800 @t2909))))))) % 54.38/54.68 (assume @p3605 (forall @t4834 (= (tptp.c_Random__Sequence_Omap @t67 @t17 @t2 @t111) (tptp.c_Random__Sequence_Obind @t67 @t17 @t111 (tptp.hAPP (tptp.c_Fun_Ocomp @t17 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2470)) @t67 @t2490) @t2))))) % 54.38/54.68 (assume @p3606 (forall @t4829 (=> @t4835 (=> @t3172 (=> @t3131 @t4832))))) % 54.38/54.68 (assume @p3607 (forall @t4829 (=> @t4835 (=> @t3172 (=> @t501 (= @t4828 @t3458)))))) % 54.38/54.68 (assume @p3608 (forall (@list @t125 @t3180 @t2 @t67 @t17) (=> @t4835 @t4781))) % 54.38/54.68 (assume @p3609 (forall (@list @t1 @t125 @t1945 @t3180 @t2 @t67 @t17) (=> @t4835 (= (tptp.hAPP @t4821 @t4822) @t4822)))) % 54.38/54.68 (assume @p3610 (forall @t4816 (=> @t4835 (=> @t3172 (=> @t3350 (= @t4825 @t3458)))))) % 54.38/54.68 (assume @p3611 (forall @t4816 (=> @t4835 (=> @t3172 @t4831)))) % 54.38/54.68 (assume @p3612 (forall @t4806 (=> @t4483 (=> @t4200 (=> @t4805 (=> (forall @t7 (=> @t2422 (= @t4 (tptp.hAPP @t4799 @t3)))) @t4804)))))) % 54.38/54.68 (assume @p3613 (forall @t4834 (= (tptp.c_New__Random__Sequence_Oneg__map @t67 @t17 @t2 @t111) (tptp.c_New__Random__Sequence_Oneg__bind @t67 @t17 @t111 (tptp.hAPP (tptp.c_Fun_Ocomp @t17 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2532) @t67 @t4836) @t2))))) % 54.38/54.68 (assume @p3614 (forall @t4837 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4836 @t125) @t2473) @t2472) @t2503) (tptp.c_New__DSequence_Oneg__single @t17 @t125)))) % 54.38/54.68 (assume @p3615 (forall @t4834 (= (tptp.c_New__Random__Sequence_Opos__map @t67 @t17 @t2 @t111) (tptp.c_New__Random__Sequence_Opos__bind @t67 @t17 @t111 (tptp.hAPP (tptp.c_Fun_Ocomp @t17 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2519) @t67 @t4838) @t2))))) % 54.38/54.68 (assume @p3616 (forall @t4839 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t10 @t28) @t2522) (tptp.c_Lazy__Sequence_Ohb__single @t10 @t28)))) % 54.38/54.68 (assume @p3617 (forall @t4837 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4838 @t125) @t2473) @t2472) @t2503) (tptp.c_New__DSequence_Opos__single @t17 @t125)))) % 54.38/54.68 (assume @p3618 (forall @t4839 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t10 @t28) @t2522) (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle @t10) @t28)))) % 54.38/54.68 (assume @p3619 (forall @t2461 (= (tptp.c_Hilbert__Choice_OEps @t2172 @t2460) (tptp.c_Hilbert__Choice_OEps @t2172 @t2459)))) % 54.38/54.68 (assume @p3620 (forall (@list @t17 @t55 @t111) (=> @t688 (=> (= @t55 @t4840) (tptp.hBOOL (tptp.hAPP @t111 @t55)))))) % 54.38/54.68 (assume @p3621 (forall @t282 (= (tptp.c_Hilbert__Choice_OEps @t17 @t2479) @t125))) % 54.38/54.68 (assume @p3622 (forall @t282 (= (tptp.c_Hilbert__Choice_OEps @t17 @t4841) @t125))) % 54.38/54.68 (assume @p3623 (forall @t4843 (= @t4842 @t688))) % 54.38/54.68 (assume @p3624 (forall @t4843 (=> @t688 @t4842))) % 54.38/54.68 (assume @p3625 (forall (@list @t17 @t4844) (=> (exists @t7 (tptp.hBOOL (tptp.hAPP @t4844 @t3))) (tptp.hBOOL (tptp.hAPP @t4844 (tptp.c_Hilbert__Choice_OEps @t17 @t4844)))))) % 54.38/54.68 (assume @p3626 (forall (@list @t17 @t125 @t111) (=> @t2433 @t4842))) % 54.38/54.68 (assume @p3627 (forall @t2461 (= (tptp.c_Hilbert__Choice_OEps @t2172 @t111) (tptp.c_Hilbert__Choice_OEps @t2172 @t2489)))) % 54.38/54.68 (assume @p3628 (forall @t2487 (= (tptp.c_Hilbert__Choice_OEps @t2172 @t2486) @t2477))) % 54.38/54.68 (assume @p3629 (forall @t4344 (=> (forall @t4845 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3890) (tptp.hAPP @t4734 @t3890))) (= @t3890 @t3254))) @t4704))) % 54.38/54.68 (assume @p3630 (forall (@list @t1225 @t230 @t67 @t563 @t226 @t17) (=> @t568 (=> (forall @t7 (=> @t2422 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2820 @t2417) (tptp.hAPP @t1225 @t3))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3491 @t4407) (tptp.hAPP (tptp.hAPP @t4401 @t563) @t1225))))))) % 54.38/54.68 (assume @p3631 (forall @t4848 (=> (not (tptp.hBOOL (tptp.hAPP @t3349 @t4846))) (not (forall @t749 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t4847 @t125)) @t2186)) (tptp.hBOOL (tptp.hAPP @t4667 @t4846)))))))) % 54.38/54.68 (assume @p3632 (forall @t3969 (=> (forall @t4157 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t4849 @t125)) @t1753)) (tptp.hBOOL (tptp.hAPP @t4155 @t4271)))) @t4272))) % 54.38/54.68 (assume @p3633 (forall @t4850 (=> @t3724 (=> @t3500 (=> (forall @t7 (=> @t3587 @t3866)) (= @t4259 @t3754)))))) % 54.38/54.68 (assume @p3634 (forall @t558 (=> @t3172 (=> (=> @t3413 @t4166) @t3228)))) % 54.38/54.68 (assume @p3635 (forall (@list @t2186 @t3574 @t2105 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3691 (tptp.hAPP (tptp.hAPP @t3689 @t2105) @t3574)) @t3827)) (and @t4387 @t4386 @t4385 (forall @t7 (=> @t4384 (exists @t2793 (and @t4383 @t4389)))))))) % 54.38/54.68 (assume @p3636 (forall (@list @t522 @t53 @t1 @t226 @t17 @t67) (=> @t4248 (=> @t3172 (=> (forall @t7 (=> @t2422 (= @t4 @t3794))) (= @t4247 (tptp.hAPP (tptp.hAPP @t4245 @t522) @t226))))))) % 54.38/54.68 (assume @p3637 (forall (@list @t1 @t2 @t226 @t230 @t17 @t67) (=> @t3753 (=> @t3131 (=> @t234 (=> (forall @t7 (=> @t2422 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3765 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP @t3770 @t4122)))))))) % 54.38/54.68 (assume @p3638 (forall @t3233 (=> @t190 (=> @t3172 (=> (forall @t4157 (=> @t4156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t283) @t125)))) (=> @t3350 @t3624)))))) % 54.38/54.68 (assume @p3639 (forall @t3233 (=> @t190 (=> @t3172 (=> (forall @t4157 (=> @t4156 (tptp.hBOOL (tptp.hAPP @t178 @t283)))) (=> @t3350 @t3661)))))) % 54.38/54.68 (assume @p3640 (forall (@list @t2 @t1753 @t17) (=> @t4711 (not (forall @t1085 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP @t3539 (tptp.hAPP @t2 (tptp.hAPP tptp.c_Nat_OSuc @t1083))) (tptp.hAPP @t2 @t1083))) @t1753))))))) % 54.38/54.68 (assume @p3641 (forall @t4806 (=> @t4488 (=> @t4200 (=> @t4805 (=> (forall @t4495 (=> @t3920 (= (tptp.hAPP @t1 @t2109) (tptp.hAPP @t53 (tptp.hAPP @t2 @t2109))))) (= (tptp.hAPP @t4801 @t230) (tptp.hAPP (tptp.hAPP @t4487 @t1) @t226)))))))) % 54.38/54.68 (assume @p3642 (forall @t93 (= (tptp.hBOOL (tptp.hAPP @t4852 @t4851)) @t90))) % 54.38/54.68 (assume @p3643 (forall @t1756 (=> @t4711 (tptp.c_Wellfounded_Owf @t17 @t4853)))) % 54.38/54.68 (assume @p3644 (= tptp.c_Wellfounded_Oless__than @t4851)) % 54.38/54.68 (assume @p3645 (forall @t1756 (= @t4770 @t4854))) % 54.38/54.68 (assume @p3646 (forall @t3862 (=> @t3971 @t4855))) % 54.38/54.68 (assume @p3647 (forall @t1756 (tptp.hBOOL (tptp.hAPP @t4856 (tptp.hAPP (tptp.hAPP @t4444 @t3859) (tptp.hAPP @t4443 @t3859)))))) % 54.38/54.68 (assume @p3648 (forall @t4860 (=> @t4859 @t4858))) % 54.38/54.68 (assume @p3649 (forall @t45 (= (tptp.c_Transitive__Closure_Otrancl @t17 @t3535) @t3535))) % 54.38/54.68 (assume @p3650 (forall @t1756 (= (tptp.hAPP @t4753 @t4853) @t4754))) % 54.38/54.68 (assume @p3651 (forall @t1756 (= (tptp.hAPP @t4718 @t4853) @t4764))) % 54.38/54.68 (assume @p3652 (forall @t1756 (= (tptp.hBOOL (tptp.hAPP @t3879 @t4853)) @t3880))) % 54.38/54.68 (assume @p3653 (forall (@list @t55 @t2186 @t346 @t36 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3970 @t2186)) (=> (tptp.hBOOL (tptp.hAPP @t4864 @t2186)) (tptp.hBOOL (tptp.hAPP @t4862 @t4861)))))) % 54.38/54.68 (assume @p3654 (forall @t4867 (=> @t3971 @t4866))) % 54.38/54.68 (assume @p3655 (forall @t4867 (=> @t4855 @t4869))) % 54.38/54.68 (assume @p3656 (forall @t4867 (=> @t4855 @t4866))) % 54.38/54.68 (assume @p3657 (forall (@list @t2232 @t1753 @t1882 @t17) (=> @t4858 (=> @t3874 (tptp.hBOOL (tptp.hAPP @t4857 (tptp.c_Transitive__Closure_Otrancl @t17 @t2232))))))) % 54.38/54.68 (assume @p3658 (forall @t1756 (= @t4853 (tptp.hAPP @t3877 (tptp.hAPP (tptp.hAPP @t4692 @t4853) @t1753))))) % 54.38/54.68 (assume @p3659 (forall @t4477 (=> @t4446 (tptp.hBOOL (tptp.hAPP @t4856 @t4445))))) % 54.38/54.68 (assume @p3660 (forall @t3875 (=> @t3874 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 (tptp.hAPP (tptp.hAPP @t4692 (tptp.hAPP (tptp.hAPP @t4184 @t4853) @t2232)) @t1753)) @t2232)) (tptp.hBOOL (tptp.hAPP @t4856 @t2232)))))) % 54.38/54.68 (assume @p3661 (forall @t4874 (= (tptp.c_Transitive__Closure_Otrancl @t17 @t4873) (tptp.hAPP @t4871 (tptp.hAPP @t4634 (tptp.hAPP @t3982 (tptp.hAPP (tptp.hAPP @t3315 (tptp.hAPP @t4176 (tptp.hAPP @t2481 (tptp.hAPP (tptp.hAPP @t3833 (tptp.hAPP @t3830 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t17 @t3532) @t3539) @t176))) @t4870)))) (tptp.hAPP (tptp.hAPP @t3833 (tptp.hAPP @t3830 @t3557)) @t4870)))))))) % 54.38/54.68 (assume @p3662 (forall @t4877 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2088) @t4273) tptp.c_fequal) @t125) @t176)) (tptp.hBOOL (tptp.hAPP @t3558 @t4876))))) % 54.38/54.68 (assume @p3663 (forall @t4860 (=> @t4859 (tptp.hBOOL (tptp.hAPP @t4857 @t4870))))) % 54.38/54.68 (assume @p3664 (forall @t4319 (tptp.hBOOL (tptp.hAPP @t4189 @t4870)))) % 54.38/54.68 (assume @p3665 (forall @t744 (tptp.hBOOL (tptp.hAPP @t4189 @t4875)))) % 54.38/54.68 (assume @p3666 (forall @t3862 (=> @t4855 @t4878))) % 54.38/54.68 (assume @p3667 (forall @t4344 (= (tptp.c_Transitive__Closure_Otrancl @t17 @t4879) @t4879))) % 54.38/54.68 (assume @p3668 (forall @t4344 (= (tptp.c_Transitive__Closure_Ortrancl @t17 @t4861) @t4879))) % 54.38/54.68 (assume @p3669 (forall @t1756 (= (tptp.hAPP @t4871 @t4875) @t4870))) % 54.38/54.68 (assume @p3670 (forall @t1756 (= (tptp.c_Transitive__Closure_Otrancl @t17 @t4876) @t4870))) % 54.38/54.68 (assume @p3671 (forall @t1756 (= @t4853 @t4881))) % 54.38/54.68 (assume @p3672 (forall @t1756 (= @t4853 @t4882))) % 54.38/54.68 (assume @p3673 (forall @t4771 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 @t4875) @t2232)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 (tptp.hAPP (tptp.hAPP @t4692 (tptp.hAPP (tptp.hAPP @t4184 @t4870) @t2232)) @t1753)) @t2232)) (tptp.hBOOL (tptp.hAPP @t4883 @t2232)))))) % 54.38/54.68 (assume @p3674 (forall @t1756 (= @t4870 (tptp.hAPP (tptp.hAPP @t3876 @t4875) @t4882)))) % 54.38/54.68 (assume @p3675 (forall @t4344 (= (tptp.hAPP (tptp.hAPP @t4692 @t4879) @t4879) @t4879))) % 54.38/54.68 (assume @p3676 (forall @t1756 (= @t4881 @t4882))) % 54.38/54.68 (assume @p3677 (forall (@list @t3067 @t1753 @t17) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP @t3961 @t3067)) @t3067)) (= (tptp.hAPP (tptp.c_Relation_OImage @t17 @t17 @t4870) @t3067) @t3067)))) % 54.38/54.68 (assume @p3678 (forall @t3875 (=> @t3874 @t4885))) % 54.38/54.68 (assume @p3679 (forall @t3432 (=> (tptp.hBOOL (tptp.hAPP @t4740 @t2909)) (=> (tptp.hBOOL (tptp.hAPP @t4739 @t4879)) (= @t4886 @t4879))))) % 54.38/54.68 (assume @p3680 (forall @t3875 (=> (tptp.hBOOL (tptp.hAPP @t3873 @t4884)) @t4885))) % 54.38/54.68 (assume @p3681 (forall @t3432 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 @t4889) @t4887)))) % 54.38/54.68 (assume @p3682 (forall @t4344 (= (tptp.c_Transitive__Closure_Ortrancl @t17 (tptp.hAPP @t4724 @t4875)) @t4879))) % 54.38/54.68 (assume @p3683 (forall @t3432 (= (tptp.c_Transitive__Closure_Ortrancl @t17 @t4889) @t4887))) % 54.38/54.68 (assume @p3684 (forall @t4344 (= (tptp.hAPP @t4888 @t4875) @t4879))) % 54.38/54.68 (assume @p3685 (forall @t4344 (= (tptp.hAPP @t4718 @t4879) @t4275))) % 54.38/54.68 (assume @p3686 (forall (@list @t2909 @t2186 @t125 @t17) (=> (or (tptp.hBOOL (tptp.hAPP @t4890 @t4879)) (tptp.hBOOL (tptp.hAPP @t4890 @t4886))) (tptp.hBOOL (tptp.hAPP @t4890 @t4887))))) % 54.38/54.68 (assume @p3687 (forall @t1756 (= (tptp.c_Transitive__Closure_Ortrancl @t17 @t4891) @t4870))) % 54.38/54.68 (assume @p3688 (forall @t4867 (=> @t3971 @t4894))) % 54.38/54.68 (assume @p3689 (forall @t4867 (=> @t4878 (=> @t4868 @t4892)))) % 54.38/54.68 (assume @p3690 (forall @t4867 (=> @t4878 @t4894))) % 54.38/54.68 (assume @p3691 (forall @t1756 (tptp.c_Relation_Orefl__on @t17 @t4275 @t4870))) % 54.38/54.68 (assume @p3692 (forall @t1756 (= (tptp.c_Transitive__Closure_Ortrancl @t17 @t4870) @t4870))) % 54.38/54.68 (assume @p3693 (forall @t4344 (= (tptp.hAPP @t4753 @t4879) @t4275))) % 54.38/54.68 (assume @p3694 (forall @t45 (= (tptp.c_Transitive__Closure_Ortrancl @t17 @t3535) @t4875))) % 54.38/54.68 (assume @p3695 (forall @t558 (= (tptp.hAPP (tptp.c_Relation_OImage @t17 @t17 @t4875) @t226) @t226))) % 54.38/54.68 (assume @p3696 (forall @t4762 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t17 @t67 @t67) @t2186) (tptp.c_Relation_OId @t67)) @t2186))) % 54.38/54.68 (assume @p3697 (forall @t4762 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t17 @t17 @t67) @t4875) @t2186) @t2186))) % 54.38/54.68 (assume @p3698 (forall @t352 (= (tptp.hBOOL (tptp.hAPP @t3970 @t4875)) @t865))) % 54.38/54.68 (assume @p3699 (forall @t4897 (= @t4896 (or @t177 (and @t203 @t4895))))) % 54.38/54.68 (assume @p3700 (forall @t4867 (=> @t3971 @t4898))) % 54.38/54.68 (assume @p3701 (forall (@list @t2186 @t346 @t36 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3970 @t4879)) (or @t865 (and @t1016 (tptp.hBOOL (tptp.hAPP @t3970 @t4861))))))) % 54.38/54.68 (assume @p3702 (forall @t4867 (=> @t4878 @t4869))) % 54.38/54.68 (assume @p3703 (forall @t4867 (=> @t4855 @t4898))) % 54.38/54.68 (assume @p3704 (forall @t4901 (=> @t4900 (=> (tptp.hBOOL (tptp.hAPP @t4151 @t4853)) (tptp.hBOOL (tptp.hAPP @t4899 @t4853)))))) % 54.38/54.68 (assume @p3705 (forall @t45 (= (tptp.hAPP @t4753 @t4875) @t4275))) % 54.38/54.68 (assume @p3706 (forall @t45 (= (tptp.hAPP @t4718 @t4875) @t4275))) % 54.38/54.68 (assume @p3707 (forall @t45 (tptp.c_Relation_Orefl__on @t17 @t4275 @t4875))) % 54.38/54.68 (assume @p3708 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t3784 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t2254)))) % 54.38/54.68 (assume @p3709 (forall (@list @t176 @t2186 @t125 @t17) (=> (not (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP @t4753 @t2186)))) (= @t4896 @t177)))) % 54.38/54.68 (assume @p3710 (forall (@list @t346 @t1753 @t36 @t17) (=> @t4316 (=> @t4903 @t4317)))) % 54.38/54.68 (assume @p3711 (forall (@list @t1753 @t36 @t346 @t17) (=> @t4903 (=> @t4316 @t4317)))) % 54.38/54.68 (assume @p3712 (forall @t4874 (= (tptp.c_Wellfounded_Owf @t17 @t4873) (and @t4711 @t4904)))) % 54.38/54.68 (assume @p3713 (forall @t4874 (= (tptp.c_Wellfounded_Oacyclic @t17 @t4873) (and @t4770 @t4904)))) % 54.38/54.68 (assume @p3714 (forall @t1756 (tptp.c_Relation_Orefl__on @t17 @t4275 @t4876))) % 54.38/54.68 (assume @p3715 (forall @t45 (= @t4875 (tptp.hAPP @t4634 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 tptp.tc_HOL_Obool @t3532) @t4601) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3532 @t3832 @t231) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3533 (tptp.tc_fun @t3832 @t231) @t3532) (tptp.c_COMBB @t3532 tptp.tc_HOL_Obool @t17)) tptp.c_fequal)) @t3978)))))) % 54.38/54.68 (assume @p3716 (forall @t1756 (tptp.c_Relation_Oirrefl @t17 @t4891))) % 54.38/54.68 (assume @p3717 (forall @t93 (= (tptp.hBOOL (tptp.hAPP @t4852 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t96))) % 54.38/54.68 (assume @p3718 (forall (@list @t226 @t1753 @t346 @t36 @t17) (=> @t4878 (=> @t4446 @t3418)))) % 54.38/54.68 (assume @p3719 (forall @t4274 (=> (= (tptp.hAPP (tptp.hAPP @t4184 @t4907) @t4870) @t3535) (not (tptp.hBOOL (tptp.hAPP @t4905 @t4853)))))) % 54.38/54.68 (assume @p3720 (forall (@list @t359 @t31 @t1753 @t2 @t17) (=> (forall @t1268 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP @t3539 (tptp.hAPP @t2 @t1883)) @t1610)) @t4870))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP @t3539 (tptp.hAPP @t2 @t762)) @t3764)) @t4870))))) % 54.38/54.68 (assume @p3721 (forall @t1756 (= @t4908 (tptp.hAPP @t4906 @t4870)))) % 54.38/54.68 (assume @p3722 (forall @t45 (= (tptp.hAPP @t4906 @t4875) @t4875))) % 54.38/54.68 (assume @p3723 (forall @t4910 (= (tptp.hAPP @t4909 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t67 @t1945 @t17) @t1753) @t2232)) (tptp.hAPP (tptp.hAPP @t4681 (tptp.hAPP (tptp.c_Relation_Oconverse @t1945 @t17) @t2232)) (tptp.hAPP (tptp.c_Relation_Oconverse @t67 @t1945) @t1753))))) % 54.38/54.68 (assume @p3724 (forall @t4913 (= (tptp.hAPP @t4909 (tptp.hAPP (tptp.hAPP @t3936 @t1753) @t2232)) (tptp.hAPP (tptp.hAPP @t3449 @t4912) @t4911)))) % 54.38/54.68 (assume @p3725 (forall @t4716 (=> @t4916 @t4915))) % 54.38/54.68 (assume @p3726 (forall @t4716 (=> @t3941 (tptp.hBOOL (tptp.hAPP @t4914 @t4917))))) % 54.38/54.68 (assume @p3727 (forall @t4716 (= @t4916 @t4915))) % 54.38/54.68 (assume @p3728 (forall @t4919 (= (tptp.hAPP @t4909 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1945 @t3935) @t2909) @t1753)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1945 @t3442) @t2909) @t4918)))) % 54.38/54.68 (assume @p3729 (forall @t4733 (= (tptp.hBOOL (tptp.hAPP @t4283 @t4912)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t2395) @t1753))))) % 54.38/54.68 (assume @p3730 (forall @t3966 (= (tptp.c_Relation_Orefl__on @t17 @t226 @t4907) @t4178))) % 54.38/54.68 (assume @p3731 (forall @t4913 (= (tptp.hAPP @t4909 (tptp.hAPP (tptp.hAPP @t4741 @t1753) @t2232)) (tptp.hAPP (tptp.hAPP @t4164 @t4912) @t4911)))) % 54.38/54.68 (assume @p3732 (forall (@list @t2 @t2186 @t67 @t17) (= (tptp.hAPP @t4906 (tptp.hAPP (tptp.hAPP @t3855 @t2186) @t2)) (tptp.hAPP (tptp.hAPP @t3855 (tptp.hAPP (tptp.c_Relation_Oconverse @t67 @t67) @t2186)) @t2)))) % 54.38/54.68 (assume @p3733 (forall @t4729 (= (tptp.hAPP @t4909 @t4917) @t1753))) % 54.38/54.68 (assume @p3734 (forall @t1756 (= (tptp.hAPP @t3858 @t4907) @t3859))) % 54.38/54.68 (assume @p3735 (forall @t558 (= (tptp.hAPP @t4906 @t3979) @t3979))) % 54.38/54.68 (assume @p3736 (forall @t4919 (= (tptp.hAPP @t4909 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1945 @t3935) @t2909) @t1753)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1945 @t3442) @t2909) @t4918)))) % 54.38/54.68 (assume @p3737 (forall @t1756 (= (tptp.c_Wellfounded_Oacyclic @t17 @t4907) @t4770))) % 54.38/54.68 (assume @p3738 (forall @t1756 (= @t4921 @t4920))) % 54.38/54.68 (assume @p3739 (forall @t1756 (=> @t4922 (tptp.c_Wellfounded_Owf @t17 @t4920)))) % 54.38/54.68 (assume @p3740 (forall @t3966 (=> @t3975 @t4924))) % 54.38/54.68 (assume @p3741 (forall @t4729 (= @t4728 @t4925))) % 54.38/54.68 (assume @p3742 (forall @t4733 (= @t4925 @t4728))) % 54.38/54.68 (assume @p3743 (forall @t4729 (= (tptp.hAPP @t4707 @t4917) @t4756))) % 54.38/54.68 (assume @p3744 (forall @t4928 (=> @t4927 @t4926))) % 54.38/54.68 (assume @p3745 (forall @t4874 (=> @t4926 @t4927))) % 54.38/54.68 (assume @p3746 (forall @t4928 (=> @t4930 @t4929))) % 54.38/54.68 (assume @p3747 (forall @t4928 (=> @t4929 @t4930))) % 54.38/54.68 (assume @p3748 (forall (@list @t230 @t226 @t1753 @t67 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t3945) @t230)) (tptp.hBOOL (tptp.hAPP @t4450 (tptp.hAPP @t4309 (tptp.hAPP (tptp.c_Relation_OImage @t17 @t67 @t4912) @t1219))))))) % 54.38/54.68 (assume @p3749 (forall @t3966 (=> @t4178 (tptp.hBOOL (tptp.hAPP @t3873 @t4923))))) % 54.38/54.68 (assume @p3750 (forall @t4477 (=> @t4924 (=> (= @t4754 @t226) @t3975)))) % 54.38/54.68 (assume @p3751 (forall @t1756 (=> @t3880 (=> @t4770 @t4922)))) % 54.38/54.68 (assume @p3752 (forall @t4729 (= @t4912 (tptp.hAPP @t4571 (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t3935 @t2423) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4931 (tptp.tc_fun @t3935 @t2423) @t17) (tptp.c_COMBC @t67 @t3935 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t67 @t2395) @t4931 @t17) (tptp.hAPP (tptp.c_COMBB @t2395 @t4595 @t67) @t3943)) @t4228))) @t1753)))))) % 54.38/54.68 (assume @p3753 (forall (@list @t230 @t1945 @t226 @t1753 @t67 @t17) (=> (tptp.c_Relation_Osingle__valued @t17 @t67 @t4912) (=> (not (= @t226 (tptp.c_Orderings_Obot__class_Obot @t2187))) (= @t3940 @t3937))))) % 54.38/54.68 (assume @p3754 (forall @t3966 (= (tptp.c_Relation_Ototal__on @t17 @t226 @t4891) @t4932))) % 54.38/54.68 (assume @p3755 (forall @t45 (tptp.c_Relation_Osingle__valued @t17 @t17 @t4875))) % 54.38/54.68 (assume @p3756 (forall @t558 (tptp.c_Relation_Osingle__valued @t17 @t17 @t3979))) % 54.38/54.68 (assume @p3757 (forall @t4759 (=> @t4758 (=> (tptp.c_Relation_Osingle__valued @t17 @t67 @t2232) @t4933)))) % 54.38/54.68 (assume @p3758 (forall (@list @t2232 @t1945 @t1753 @t67 @t17) (=> @t4933 (=> (tptp.c_Relation_Osingle__valued @t67 @t1945 @t2232) (tptp.c_Relation_Osingle__valued @t17 @t1945 @t4684))))) % 54.38/54.68 (assume @p3759 (forall @t1756 (tptp.c_Relation_Ototal__on @t17 @t3254 @t1753))) % 54.38/54.68 (assume @p3760 (forall @t3966 (= (tptp.c_Relation_Ototal__on @t17 @t226 @t4907) @t4932))) % 54.38/54.68 (assume @p3761 (forall (@list @t522 @t176 @t125 @t1753 @t67 @t17) (=> @t4933 (=> (tptp.hBOOL (tptp.hAPP @t3450 @t1753)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3410 (tptp.hAPP @t2189 @t522)) @t1753)) @t1019))))) % 54.38/54.68 (assume @p3762 (forall @t4733 (= @t4933 (forall @t287 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3410 @t4498) @t1753)) (forall @t749 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3410 @t4934) @t1753)) (= @t283 @t748)))))))) % 54.38/54.68 (assume @p3763 (forall @t3966 (= @t4932 (forall @t7 (=> @t2422 (forall @t2793 (=> @t3196 (=> @t3195 (or (tptp.hBOOL (tptp.hAPP @t4388 @t1753)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP @t3539 @t2785) @t3)) @t1753))))))))))) % 54.38/54.68 (assume @p3764 (forall @t4935 (=> (tptp.c_Relation_Osingle__valued @t17 @t17 @t1753) (=> @t4900 (=> (tptp.hBOOL (tptp.hAPP @t4899 @t4870)) (or (tptp.hBOOL (tptp.hAPP @t4151 @t4870)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP @t3539 @t522) @t176)) @t4870)))))))) % 54.38/54.68 (assume @p3765 (forall @t4099 (=> (tptp.c_Relation_Osingle__valued @t17 @t67 (tptp.hAPP @t4909 @t2186)) (= @t4098 @t4097)))) % 54.38/54.68 (assume @p3766 (forall @t4939 (=> @t4938 (tptp.hBOOL (tptp.hAPP @t4857 @t4937))))) % 54.38/54.68 (assume @p3767 (forall @t1756 (=> @t4854 @t4770))) % 54.38/54.68 (assume @p3768 (forall @t4941 (=> (tptp.c_Relation_Osingle__valued @t17 @t17 @t2186) (tptp.c_Relation_Osingle__valued @t17 @t17 @t4940)))) % 54.38/54.68 (assume @p3769 (forall @t2766 (= (tptp.hAPP @t4944 @t4943) (tptp.hAPP (tptp.hAPP @t4942 @t372) @t2)))) % 54.38/54.68 (assume @p3770 (forall (@list @t125 @t33 @t17 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t4945 @t125)) (tptp.hAPP @t4945 @t127)))) % 54.38/54.68 (assume @p3771 (forall @t4946 (=> (tptp.c_Wellfounded_Owf @t17 @t4940) @t4704))) % 54.38/54.68 (assume @p3772 (forall (@list @t2 @t33 @t67 @t17) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t130 @t130) @t33) (tptp.c_Fun_Ocomp @t67 @t67 @t17 @t2)) (tptp.c_Fun_Ocomp @t67 @t67 @t17 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t67 @t67) @t33) @t2))))) % 54.38/54.68 (assume @p3773 (forall @t4344 (= (tptp.hAPP (tptp.hAPP @t4936 @t663) @t2186) @t2186))) % 54.38/54.68 (assume @p3774 (forall @t4941 (= (tptp.hAPP @t4700 @t4940) @t4947))) % 54.38/54.68 (assume @p3775 (forall @t4939 (= @t4938 (exists @t22 @t4948)))) % 54.38/54.68 (assume @p3776 (forall (@list @t2186 @t33 @t1882 @t17) (=> (tptp.hBOOL (tptp.hAPP @t4857 @t4940)) @t4938))) % 54.38/54.68 (assume @p3777 (forall @t4946 (= @t4949 @t4947))) % 54.38/54.68 (assume @p3778 (forall (@list @t2186 @t33 @t86 @t17) (= (tptp.hAPP (tptp.hAPP @t4936 @t1052) @t2186) (tptp.hAPP (tptp.hAPP @t4692 (tptp.hAPP (tptp.hAPP @t4936 @t86) @t2186)) @t4940)))) % 54.38/54.68 (assume @p3779 (forall @t4344 (= @t4950 @t4875))) % 54.38/54.68 (assume @p3780 (forall @t4897 (=> (tptp.hBOOL (tptp.hAPP @t3558 @t4950)) @t177))) % 54.38/54.68 (assume @p3781 (forall @t4848 (tptp.hBOOL (tptp.hAPP @t4905 @t4950)))) % 54.38/54.68 (assume @p3782 (forall (@list @t522 @t2186 @t33 @t176 @t125 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3558 @t4940)) (=> (tptp.hBOOL (tptp.hAPP @t4151 @t2186)) @t4951)))) % 54.38/54.68 (assume @p3783 (forall (@list @t33 @t522 @t2186 @t176 @t125 @t17) (=> @t3580 (=> (tptp.hBOOL (tptp.hAPP @t4151 @t4940)) @t4951)))) % 54.38/54.68 (assume @p3784 (forall (@list @t2 @t33 @t17) (= (tptp.hAPP (tptp.hAPP @t4942 @t34) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t17 @t17 @t17 @t2) @t4945)))) % 54.38/54.68 (assume @p3785 (forall @t2716 (= (tptp.hAPP (tptp.hAPP @t4942 @t1052) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t17 @t17 @t17 @t4943) @t4945)))) % 54.38/54.68 (assume @p3786 (forall @t51 (= (tptp.hAPP (tptp.hAPP @t4942 @t56) @t2) @t4658))) % 54.38/54.68 (assume @p3787 (forall @t4939 (= (tptp.hBOOL (tptp.hAPP @t4857 @t4861)) (exists @t22 (and @t589 @t4948))))) % 54.38/54.68 (assume @p3788 (forall @t4344 (= @t4879 @t4937))) % 54.38/54.68 (assume @p3789 (forall @t45 (= (tptp.c_Nat_Ofunpow @t17) @t4942))) % 54.38/54.68 (assume @p3790 (forall @t4959 (=> @t4958 (=> @t4957 (not (forall @t4956 (=> @t224 (=> (tptp.hBOOL (tptp.hAPP @t4955 @t4954)) @t4953)))))))) % 54.38/54.68 (assume @p3791 (forall @t4959 (=> @t4958 (=> @t4957 (not (forall @t4956 (=> @t224 (=> @t4960 (not (tptp.hBOOL (tptp.hAPP @t4952 @t4954))))))))))) % 54.38/54.68 (assume @p3792 (forall @t4964 (=> @t4963 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t3685 @t3)) @t4961)) (forall @t4157 (=> (tptp.hBOOL (tptp.hAPP @t4152 @t2260)) @t4833)))) @t4962)))) % 54.38/54.68 (assume @p3793 (forall @t4964 (=> @t4963 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t3540 @t346)) @t4961)) (forall @t4157 (=> (tptp.hBOOL (tptp.hAPP @t4965 @t2260)) @t4306)))) @t4962)))) % 54.38/54.68 (assume @p3794 (forall @t4959 (=> @t4951 (not (forall @t4157 (=> (tptp.hBOOL (tptp.hAPP @t4955 @t4940)) @t4953)))))) % 54.38/54.68 (assume @p3795 (forall @t4959 (=> @t4951 (exists @t4157 (and @t4960 @t4966))))) % 54.38/54.68 (assume @p3796 (forall @t4959 (=> @t4951 (not (forall @t4157 (=> @t4960 (not @t4966))))))) % 54.38/54.68 (assume @p3797 (forall @t4897 (=> @t4895 (exists @t749 (and (tptp.hBOOL (tptp.hAPP @t4968 @t2186)) (tptp.hBOOL (tptp.hAPP @t4967 @t4879))))))) % 54.38/54.68 (assume @p3798 (forall @t4897 (=> @t4895 (exists @t749 (and (tptp.hBOOL (tptp.hAPP @t4968 @t4879)) (tptp.hBOOL (tptp.hAPP @t4967 @t2186))))))) % 54.38/54.68 (assume @p3799 (forall (@list @t1882 @t17) (=> (tptp.hBOOL (tptp.hAPP @t4857 @t4875)) (not (forall @t7 (not (= @t1882 @t3541))))))) % 54.38/54.68 (assume @p3800 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3352 (= @t3696 @t4970)))))) % 54.38/54.68 (assume @p3801 (forall (@list @t1 @t2 @t67 @t17) (= @t4242 (tptp.c_Finite__Set_Ofold @t67 @t17 @t4823)))) % 54.38/54.68 (assume @p3802 (forall (@list @t522 @t2 @t17 @t67) (= (tptp.hAPP @t4971 @t3265) @t522))) % 54.38/54.68 (assume @p3803 (forall (@list @t2232 @t226 @t3180 @t2 @t67 @t17) (=> @t4815 (=> @t3172 (= (tptp.hAPP @t3458 @t2232) (tptp.hAPP (tptp.hAPP @t4972 @t2232) @t226)))))) % 54.38/54.68 (assume @p3804 (forall (@list @t226 @t522 @t2 @t17 @t67) (= (tptp.hAPP @t4971 @t226) (tptp.c_HOL_OThe @t17 (tptp.c_Finite__Set_Ofold__graph @t67 @t17 @t2 @t522 @t226))))) % 54.38/54.68 (assume @p3805 (forall @t502 (=> @t3172 (= @t2952 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t17 @t231 @t3144) @t230) @t226))))) % 54.38/54.68 (assume @p3806 (forall @t4976 (=> @t2968 (=> @t3172 (= (tptp.hAPP @t4974 @t3210) (tptp.hAPP @t4187 @t4975)))))) % 54.38/54.68 (assume @p3807 (forall @t4976 (=> @t4045 (=> @t3172 (= (tptp.hAPP @t4978 @t3210) (tptp.hAPP @t4108 @t4979)))))) % 54.38/54.68 (assume @p3808 (forall @t4976 (=> @t190 (=> @t3172 (= (tptp.hAPP @t4981 @t3210) (tptp.hAPP @t3699 @t4982)))))) % 54.38/54.68 (assume @p3809 (forall @t4976 (=> @t190 (=> @t3172 (= (tptp.hAPP @t4983 @t3210) (tptp.hAPP @t3712 @t4984)))))) % 54.38/54.68 (assume @p3810 (forall @t4989 (=> @t4525 (=> @t3172 @t4988)))) % 54.38/54.68 (assume @p3811 (forall @t4989 (=> @t4525 (=> @t3172 @t4992)))) % 54.38/54.68 (assume @p3812 (forall @t236 (=> @t235 (=> @t3172 (= (tptp.hAPP (tptp.hAPP @t3036 @t230) @t3122) (tptp.hAPP (tptp.hAPP @t4993 @t230) @t226)))))) % 54.38/54.68 (assume @p3813 (forall @t236 (=> @t235 (=> @t3172 (= (tptp.hAPP (tptp.hAPP @t4086 @t230) @t229) (tptp.hAPP (tptp.hAPP @t4994 @t230) @t226)))))) % 54.38/54.68 (assume @p3814 (forall (@list @t36 @t226 @t3180 @t2 @t17) (=> @t3898 (=> @t3172 (= (tptp.hAPP @t3180 @t3210) (tptp.hAPP (tptp.hAPP @t4995 @t36) @t226)))))) % 54.38/54.68 (assume @p3815 (forall @t4997 (=> @t2968 (=> @t3172 (=> @t3368 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t4996) @t4975))))))) % 54.38/54.68 (assume @p3816 (forall @t4997 (=> @t4045 (=> @t3172 (=> @t3368 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t4979) @t4998))))))) % 54.38/54.68 (assume @p3817 (forall @t4997 (=> @t190 (=> @t3172 (=> @t3368 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t4982) (tptp.hAPP @t3699 @t346)))))))) % 54.38/54.68 (assume @p3818 (forall @t4997 (=> @t190 (=> @t3172 (=> @t3368 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.hAPP @t3712 @t346)) @t4984))))))) % 54.38/54.68 (assume @p3819 (forall @t3212 (=> @t4476 (=> @t3172 @t4999)))) % 54.38/54.68 (assume @p3820 (forall @t3212 (=> @t2993 (=> @t3172 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 @t3210) (tptp.hAPP (tptp.hAPP @t4973 @t36) @t226)))))) % 54.38/54.68 (assume @p3821 (forall @t3212 (=> @t2993 (=> @t3172 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 @t3210) (tptp.hAPP (tptp.hAPP @t4977 @t36) @t226)))))) % 54.38/54.68 (assume @p3822 (forall @t3212 (=> @t190 (=> @t3172 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t3210) @t5000))))) % 54.38/54.68 (assume @p3823 (forall @t3212 (=> @t190 (=> @t3172 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t3210) @t5001))))) % 54.38/54.68 (assume @p3824 (forall @t3212 (=> @t190 (=> @t3172 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 @t3210) @t5000))))) % 54.38/54.68 (assume @p3825 (forall @t3212 (=> @t190 (=> @t3172 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 @t3210) @t5001))))) % 54.38/54.68 (assume @p3826 (forall @t502 (=> @t3172 (= @t2964 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t17 @t231 @t4523) @t230) @t226))))) % 54.38/54.68 (assume @p3827 (forall @t3359 (=> @t3358 (=> @t3172 (=> @t3352 (= @t3355 (tptp.hAPP (tptp.hAPP @t4995 @t125) @t226))))))) % 54.38/54.68 (assume @p3828 (forall @t3174 (=> @t235 (=> @t3172 (= @t3122 (tptp.hAPP (tptp.hAPP @t4993 (tptp.c_Orderings_Obot__class_Obot @t67)) @t226)))))) % 54.38/54.68 (assume @p3829 (forall @t3174 (=> @t235 (=> @t3172 (= @t229 (tptp.hAPP (tptp.hAPP @t4994 (tptp.c_Orderings_Otop__class_Otop @t67)) @t226)))))) % 54.38/54.68 (assume @p3830 (forall @t3212 (=> @t4262 (=> @t3172 (=> @t3369 @t4999))))) % 54.38/54.68 (assume @p3831 (forall @t3233 (=> @t2993 (=> @t3172 (=> @t3352 (= @t3641 (tptp.hAPP (tptp.hAPP @t4973 @t125) @t226))))))) % 54.38/54.68 (assume @p3832 (forall @t3233 (=> @t2993 (=> @t3172 (=> @t3352 (= @t4191 (tptp.hAPP (tptp.hAPP @t4977 @t125) @t226))))))) % 54.38/54.68 (assume @p3833 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3352 (= @t3671 @t5002)))))) % 54.38/54.68 (assume @p3834 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3352 (= @t3645 @t4970)))))) % 54.38/54.68 (assume @p3835 (forall @t3233 (=> @t190 (=> @t3172 (=> @t3352 (= @t3709 @t5002)))))) % 54.38/54.68 (assume @p3836 (forall @t5005 (=> @t5004 (=> @t3172 (=> @t3350 (= @t4990 @t5003)))))) % 54.38/54.68 (assume @p3837 (forall @t4989 (=> @t5004 (=> @t3172 (= @t4987 @t5003))))) % 54.38/54.68 (assume @p3838 (forall @t3731 (=> @t5004 (= @t4818 @t4819)))) % 54.38/54.68 (assume @p3839 (forall @t4269 (=> @t5004 (=> @t4264 (=> @t4268 @t3161))))) % 54.38/54.68 (assume @p3840 (forall @t45 (=> @t4262 (tptp.c_Finite__Set_Ofun__left__comm @t17 @t17 @t349)))) % 54.38/54.68 (assume @p3841 (forall @t3732 (=> @t5004 (= (tptp.hAPP @t127 (tptp.hAPP @t195 @t522)) (tptp.hAPP @t195 @t4527))))) % 54.38/54.68 (assume @p3842 (forall @t4526 (=> @t5004 (tptp.c_Finite__Set_Ofun__left__comm @t1945 @t67 @t4524)))) % 54.38/54.68 (assume @p3843 (forall @t5005 (=> @t5004 (=> @t3172 (= @t4991 @t4985))))) % 54.38/54.68 (assume @p3844 (forall (@list @t176 @t226 @t522 @t2 @t67 @t17) (=> @t5004 (=> @t4268 (= @t4990 @t176))))) % 54.38/54.68 (assume @p3845 (forall (@list @t522 @t226 @t2 @t67 @t17) (=> @t5004 (=> @t3172 (tptp.hBOOL (tptp.hAPP @t4263 @t4990)))))) % 54.38/54.68 (assume @p3846 (forall @t5005 (=> @t5004 (=> @t3172 (=> @t3352 @t4988))))) % 54.38/54.68 (assume @p3847 (forall @t5005 (=> @t5004 (=> @t3172 (=> @t3352 @t4992))))) % 54.38/54.68 (assume @p3848 (forall (@list @t36 @t176 @t226 @t522 @t2 @t67 @t17) (=> @t5004 (=> @t4268 (=> @t3368 (exists (@list @t5006) (and (= @t176 (tptp.hAPP @t2181 @t5006)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t17 @t67 @t2 @t522 @t3291) @t5006))))))))) % 54.38/54.68 (assume @p3849 (forall @t558 (=> @t1933 (=> @t3172 (= @t5007 (tptp.hAPP (tptp.hAPP @t4977 @t4277) @t226)))))) % 54.38/54.68 (assume @p3850 (forall @t5009 (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t4181 @t1942)) @t5008)) (tptp.hBOOL (tptp.hAPP @t3130 (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t1942)))))) % 54.38/54.68 (assume @p3851 (forall (@list @t3067 @t563 @t226 @t17) (=> @t5013 (=> @t5012 @t5011)))) % 54.38/54.68 (assume @p3852 (forall @t2965 (=> @t5017 @t5016))) % 54.38/54.68 (assume @p3853 (forall (@list @t226 @t346 @t17) (=> @t1933 (= (tptp.hBOOL (tptp.hAPP @t379 @t5007)) @t5018)))) % 54.38/54.68 (assume @p3854 (forall (@list @t36 @t2909 @t17) (=> @t1934 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 (tptp.c_Complete__Lattice_OInf__class_OInf @t17 @t2909)) @t36)) (exists @t7 (and @t3587 (tptp.hBOOL (tptp.hAPP @t286 @t36)))))))) % 54.38/54.68 (assume @p3855 (forall @t502 (= (tptp.hAPP @t2951 @t5020) (tptp.hAPP (tptp.hAPP @t5019 @t230) @t2951)))) % 54.38/54.68 (assume @p3856 (forall @t2965 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2622 @t230) @t226)) (tptp.hBOOL (tptp.hAPP @t5015 @t5020))))) % 54.38/54.68 (assume @p3857 (forall @t45 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t3909) @t4275))) % 54.38/54.68 (assume @p3858 (forall @t558 (= @t5014 (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t5023 (tptp.c_HOL_OAll @t231)) (tptp.hAPP (tptp.hAPP @t5022 (tptp.hAPP @t4620 (tptp.hAPP (tptp.hAPP @t4616 tptp.c_fimplies) @t5021))) @t2420)))))) % 54.38/54.68 (assume @p3859 (forall @t3419 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t5024) (tptp.hAPP (tptp.hAPP @t4006 @t36) @t5020)))) % 54.38/54.68 (assume @p3860 (forall @t45 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t4290) @t3254))) % 54.38/54.68 (assume @p3861 (forall @t3157 (=> @t1933 (=> @t3350 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t5007) @t125)))))) % 54.38/54.68 (assume @p3862 (forall @t502 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t5025) (tptp.hAPP (tptp.hAPP @t4006 @t5014) @t5020)))) % 54.38/54.68 (assume @p3863 (forall @t744 (=> @t1933 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t17 @t3262) @t36)))) % 54.38/54.68 (assume @p3864 (forall @t45 (=> @t1933 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t17 @t3254) @t4277)))) % 54.38/54.68 (assume @p3865 (forall @t45 (=> @t1933 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t17 @t4275) @t3269)))) % 54.38/54.68 (assume @p3866 (forall @t3217 (=> @t1933 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t17 @t3210) (tptp.hAPP @t4108 @t5007))))) % 54.38/54.68 (assume @p3867 (forall @t3284 (= @t3119 @t5028))) % 54.38/54.68 (assume @p3868 (forall @t5029 (= @t5028 @t3119))) % 54.38/54.68 (assume @p3869 (forall @t502 (= @t4008 (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t5030)))) % 54.38/54.68 (assume @p3870 (forall @t3019 (= (tptp.hAPP @t3014 @t4062) (tptp.hAPP (tptp.hAPP @t4006 (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t5032)) (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t5031))))) % 54.38/54.68 (assume @p3871 (forall @t502 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP (tptp.hAPP @t2923 @t5014) @t5020)) (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t5033))))) % 54.38/54.68 (assume @p3872 (forall @t352 (=> @t1933 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t17 @t3261) @t4998)))) % 54.38/54.68 (assume @p3873 (forall @t502 (=> @t1933 (=> @t3172 (= (tptp.hAPP (tptp.hAPP @t4028 @t230) @t5007) (tptp.hAPP (tptp.hAPP @t4977 @t230) @t226)))))) % 54.38/54.68 (assume @p3874 (forall @t558 (=> @t1933 (=> @t3172 (=> @t3276 (= @t4180 @t5007)))))) % 54.38/54.68 (assume @p3875 (forall @t558 (=> @t1933 (= @t5007 (tptp.c_Complete__Lattice_OSup__class_OSup @t17 (tptp.hAPP @t4541 (tptp.hAPP @t5035 (tptp.hAPP @t5034 @t49)))))))) % 54.38/54.68 (assume @p3876 (forall @t558 (=> @t1933 (= @t5036 (tptp.c_Complete__Lattice_OInf__class_OInf @t17 (tptp.hAPP @t4541 (tptp.hAPP @t5035 (tptp.hAPP @t5034 @t2387)))))))) % 54.38/54.68 (assume @p3877 (forall (@list @t226 @t563 @t3067 @t17) (=> @t5012 (=> @t5011 @t5038)))) % 54.38/54.68 (assume @p3878 (forall @t3679 (= @t5040 (tptp.hAPP (tptp.hAPP @t5019 @t2909) @t5039)))) % 54.38/54.68 (assume @p3879 (forall @t3588 (= (tptp.hAPP @t2825 (tptp.c_Complete__Lattice_OSup__class_OSup @t2423 @t2909)) (tptp.hAPP (tptp.hAPP @t5041 @t2909) @t2825)))) % 54.38/54.68 (assume @p3880 (forall (@list @t2909 @t67 @t17) (= (tptp.hAPP @t4755 (tptp.c_Complete__Lattice_OSup__class_OSup @t3442 @t2909)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3442 @t231) @t2909) @t4755)))) % 54.38/54.68 (assume @p3881 (forall @t3284 (= @t5046 @t5044))) % 54.38/54.68 (assume @p3882 (forall @t3284 (= @t5044 @t5046))) % 54.38/54.68 (assume @p3883 (forall @t2965 (= (tptp.hAPP (tptp.hAPP @t4006 @t5049) @t226) (tptp.hAPP @t5048 (tptp.hAPP (tptp.hAPP @t3590 @t4006) @t226))))) % 54.38/54.68 (assume @p3884 (forall @t502 (= (tptp.hAPP @t4007 @t5049) (tptp.hAPP @t5048 @t4007)))) % 54.38/54.68 (assume @p3885 (forall (@list @t230 @t3067 @t67 @t17) (= (tptp.hAPP (tptp.hAPP @t4401 (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t3067)) @t230) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t231 @t3442) @t3067) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t231 @t2435 @t3442) @t4401) @t230))))) % 54.38/54.68 (assume @p3886 (forall (@list @t2909 @t17 @t67) (= (tptp.hAPP @t4707 (tptp.c_Complete__Lattice_OSup__class_OSup @t3935 @t2909)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3935 @t231) @t2909) @t4707)))) % 54.38/54.68 (assume @p3887 (forall @t2670 (= (tptp.hAPP @t4352 @t5045) (tptp.hAPP @t5043 @t4352)))) % 54.38/54.68 (assume @p3888 (forall @t45 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t3909) @t3254))) % 54.38/54.68 (assume @p3889 (forall @t502 (=> (tptp.hBOOL (tptp.hAPP @t5051 @t230)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t5050) @t5049))))) % 54.38/54.68 (assume @p3890 (forall @t5053 (= (= (tptp.hAPP (tptp.hAPP @t4006 @t5037) @t226) @t3254) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4181 @t563)) (= (tptp.hAPP @t5052 @t226) @t3254)))))) % 54.38/54.68 (assume @p3891 (forall @t4344 (= (tptp.hAPP @t3858 (tptp.c_Complete__Lattice_OSup__class_OSup @t3533 @t2186)) (tptp.c_Complete__Lattice_OSup__class_OSup @t231 (tptp.hAPP (tptp.c_Set_Oimage @t3533 @t231 @t3858) @t2186))))) % 54.38/54.68 (assume @p3892 (forall @t558 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t3886) @t226))) % 54.38/54.68 (assume @p3893 (forall (@list @t2909 @t36 @t17) (=> @t1934 (= (tptp.hBOOL (tptp.hAPP @t416 (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t2909))) (exists @t7 (and @t3587 (tptp.hBOOL (tptp.hAPP @t416 @t3)))))))) % 54.38/54.68 (assume @p3894 (forall @t3284 (= @t5055 @t5054))) % 54.38/54.68 (assume @p3895 (forall @t3284 (= @t5054 @t5055))) % 54.38/54.68 (assume @p3896 (forall @t3572 (=> @t1933 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t5036) @t346)) @t5056)))) % 54.38/54.68 (assume @p3897 (forall @t2965 (=> @t5017 (tptp.hBOOL (tptp.hAPP @t500 @t5050))))) % 54.38/54.68 (assume @p3898 (forall @t3419 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t5024) (tptp.hAPP (tptp.hAPP @t2923 @t36) @t5049)))) % 54.38/54.68 (assume @p3899 (forall @t3966 (=> @t3975 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t3965) @t226)))) % 54.38/54.68 (assume @p3900 (forall @t558 (=> @t5058 @t5057))) % 54.38/54.68 (assume @p3901 (forall @t558 (tptp.hBOOL (tptp.hAPP @t5051 (tptp.hAPP @t3885 @t5050))))) % 54.38/54.68 (assume @p3902 (forall @t45 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t4290) @t4275))) % 54.38/54.68 (assume @p3903 (forall @t502 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t5025) (tptp.hAPP (tptp.hAPP @t2923 @t5050) @t5049)))) % 54.38/54.68 (assume @p3904 (forall @t3284 (= @t3094 @t5059))) % 54.38/54.68 (assume @p3905 (forall @t5029 (= @t5059 @t3094))) % 54.38/54.68 (assume @p3906 (forall @t3157 (=> @t1933 (=> @t3350 (tptp.hBOOL (tptp.hAPP @t178 @t5036)))))) % 54.38/54.68 (assume @p3907 (forall @t45 (=> @t1933 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t3254) @t3269)))) % 54.38/54.68 (assume @p3908 (forall @t744 (=> @t1933 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t3262) @t36)))) % 54.38/54.68 (assume @p3909 (forall @t3217 (=> @t1933 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t3210) (tptp.hAPP @t4187 @t5036))))) % 54.38/54.68 (assume @p3910 (forall @t45 (=> @t1933 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t4275) @t4277)))) % 54.38/54.68 (assume @p3911 (forall @t502 (= @t2952 (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t5030)))) % 54.38/54.68 (assume @p3912 (forall @t3019 (= (tptp.hAPP @t3107 @t3105) (tptp.hAPP (tptp.hAPP @t2923 (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t5032)) (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t5031))))) % 54.38/54.68 (assume @p3913 (forall @t502 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t5033)) (tptp.hAPP (tptp.hAPP @t4006 @t5050) @t5049))))) % 54.38/54.68 (assume @p3914 (forall @t352 (=> @t1933 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t3261) @t4996)))) % 54.38/54.68 (assume @p3915 (forall @t502 (=> @t1933 (=> @t3172 (= (tptp.hAPP (tptp.hAPP @t2967 @t230) @t5036) (tptp.hAPP (tptp.hAPP @t4973 @t230) @t226)))))) % 54.38/54.68 (assume @p3916 (forall @t558 (=> @t1933 (=> @t3172 (=> @t3276 (= @t3621 @t5036)))))) % 54.38/54.68 (assume @p3917 (forall @t558 (=> @t1933 (=> @t3172 (= @t5036 (tptp.hAPP (tptp.hAPP @t4973 @t3269) @t226)))))) % 54.38/54.68 (assume @p3918 (forall (@list @t2 @t67 @t17 @t2909) (=> (not (= @t2909 @t3909)) (=> (forall @t4845 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t3890) @t2909)) (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t3890))) (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t5040))))) % 54.38/54.68 (assume @p3919 (forall @t502 (=> (forall @t5062 (=> (tptp.hBOOL (tptp.hAPP @t5061 @t226)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t5060) @t230)))) (=> (not (= @t226 @t3909)) @t5016)))) % 54.38/54.68 (assume @p3920 (forall @t3679 (= @t5063 (tptp.hAPP (tptp.hAPP @t5047 @t2909) @t5039)))) % 54.38/54.68 (assume @p3921 (forall @t558 (=> @t5057 (=> (forall (@list @t5064) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t5064) @t226)) (tptp.hBOOL (tptp.hAPP @t3130 @t5064)))) @t5058)))) % 54.38/54.68 (assume @p3922 (forall (@list @t3180 @t125 @t17) (=> (not (tptp.hBOOL (tptp.hAPP @t3914 @t3180))) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4181 @t5065)) (forall @t2793 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t2785) @t5065)) (=> @t3195 (= (tptp.hAPP @t5052 @t2785) @t3254)))))) (= (tptp.hAPP (tptp.hAPP @t4006 @t125) (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t3180)) @t3254))))) % 54.38/54.68 (assume @p3923 (forall (@list @t359 @t563 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3904 @t563)) (=> (tptp.hBOOL (tptp.hAPP @t3130 @t5037)) (=> (forall (@list @t5068) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t5068) @t563)) (= (tptp.hAPP @t2880 @t5068) @t359))) (=> (forall (@list @t5067) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t5067) @t563)) (forall (@list @t5066) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t5066) @t563)) (=> (not (= @t5067 @t5066)) (= (tptp.hAPP (tptp.hAPP @t4006 @t5067) @t5066) @t3254)))))) (= (tptp.hAPP @t367 (tptp.hAPP @t3887 @t563)) (tptp.hAPP @t2880 @t5037)))))))) % 54.38/54.68 (assume @p3924 (forall (@list @t751 @t226 @t125 @t522 @t2 @t67 @t17) (=> @t5004 (=> (tptp.hBOOL (tptp.hAPP @t4267 @t751)) (=> @t3352 (not (forall @t4157 (=> (= @t751 (tptp.hAPP @t127 @t283)) (not (tptp.hBOOL (tptp.hAPP @t4263 @t283))))))))))) % 54.38/54.68 (assume @p3925 (forall @t5069 (=> @t190 (=> @t3172 (=> @t5056 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.hAPP (tptp.hAPP @t4969 @t55) @t226)) (tptp.hAPP (tptp.hAPP @t2357 @t346) @t55)))))))) % 54.38/54.68 (assume @p3926 (forall @t5069 (=> @t190 (=> @t3172 (=> @t5018 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.hAPP @t4109 @t55)) (tptp.hAPP (tptp.hAPP @t4980 @t55) @t226)))))))) % 54.38/54.68 (assume @p3927 (forall @t5053 (=> (forall @t5062 (=> @t5071 @t5070)) @t5013))) % 54.38/54.68 (assume @p3928 (forall @t5069 (=> @t4045 (=> @t3172 (=> @t5018 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.hAPP (tptp.hAPP @t4028 @t346) @t55)) (tptp.hAPP (tptp.hAPP @t4977 @t55) @t226)))))))) % 54.38/54.68 (assume @p3929 (forall @t5069 (=> @t2968 (=> @t3172 (=> @t5056 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.hAPP (tptp.hAPP @t4973 @t55) @t226)) (tptp.hAPP (tptp.hAPP @t2967 @t346) @t55)))))))) % 54.38/54.68 (assume @p3930 (forall @t1756 (= @t4711 (forall (@list @t5072) (=> (exists @t7 @t5074) (exists @t7 (and @t5074 (forall @t4157 (=> @t5073 (not (tptp.hBOOL (tptp.hAPP @t4155 @t5072)))))))))))) % 54.38/54.68 (assume @p3931 (forall @t4118 (=> @t5075 (=> @t3563 (=> @t3224 @t4133))))) % 54.38/54.68 (assume @p3932 (forall (@list @t5076 @t111) (=> (forall @t7 (=> @t584 (= @t583 (tptp.hBOOL (tptp.hAPP @t5076 @t3))))) (= @t4629 (tptp.hAPP @t4628 (tptp.hAPP @t2128 @t5076)))))) % 54.38/54.68 (assume @p3933 (forall (@list @t125 @t3180 @t1 @t522 @t2 @t67 @t17) (=> @t5075 @t3908))) % 54.38/54.68 (assume @p3934 (forall @t3565 (=> @t5075 (=> @t3563 (=> @t3389 (= @t3575 @t3458)))))) % 54.38/54.68 (assume @p3935 (forall @t3565 (=> @t5075 (=> @t3563 @t3577)))) % 54.38/54.68 (assume @p3936 (forall @t4118 (=> @t5075 (=> @t3563 (=> (tptp.hBOOL (tptp.hAPP @t3225 @t226)) @t3916))))) % 54.38/54.68 (assume @p3937 (forall (@list @t2260 @t111 @t230 @t226 @t17) (=> @t234 (=> (forall @t7 (=> @t2422 (=> @t583 (tptp.hBOOL @t2779)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t4573) (tptp.hAPP @t4015 @t4550))))))) % 54.38/54.68 (assume @p3938 (forall @t4338 (=> @t5038 (not (forall @t5062 (=> @t5070 (not @t5071))))))) % 54.38/54.68 (assume @p3939 (forall (@list @t2232 @t1753 @t1945 @t5077 @t67 @t17) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3410 @t5077) @t4682)) (not (forall (@list @t3 @t283 @t748) (=> (= @t5077 @t4934) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4677 (tptp.hAPP (tptp.hAPP @t2190 @t3) @t283)) @t1753)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4673 (tptp.hAPP (tptp.hAPP @t2374 @t283) @t748)) @t2232)))))))))) % 54.38/54.68 (assume @p3940 (forall (@list @t1753 @t5078 @t67 @t17) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3410 @t5078) @t4912)) (not (forall @t287 (=> (= @t5078 (tptp.hAPP (tptp.hAPP @t2171 @t283) @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3943 (tptp.hAPP @t3942 @t283)) @t1753))))))))) % 54.38/54.68 (assume @p3941 (forall @t3174 (=> @t5080 (=> (forall @t7 (=> @t2422 (tptp.hBOOL (tptp.hAPP @t5079 @t5)))) (tptp.hBOOL (tptp.hAPP @t5079 @t3751)))))) % 54.38/54.68 (assume @p3942 (forall @t3174 (=> @t5080 (=> (forall @t7 (=> @t2422 @t3244)) (tptp.hBOOL (tptp.hAPP @t3243 @t3751)))))) % 54.38/54.68 (assume @p3943 (forall (@list @t952 @t2) (=> (forall @t22 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t16) @t48))) (tptp.hBOOL (tptp.hAPP @t3141 (tptp.hAPP @t4531 (tptp.hAPP (tptp.hAPP @t2624 (tptp.hAPP (tptp.hAPP @t4746 @t79) @t2)) @t952))))))) % 54.38/54.68 (assume @p3944 (forall (@list @t111 @t3180 @t17) (=> @t3182 (=> @t3888 (=> (forall (@list @t3 @t3918) (=> @t3921 (=> (not (tptp.hBOOL (tptp.hAPP @t2421 @t3918))) (=> @t3919 (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t3654 @t3918))))))) @t3917))))) % 54.38/54.68 (assume @p3945 (forall @t1756 (= @t4742 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5082 @t4743) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t4743 tptp.c_Wellfounded_Oless__than @t4747)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4743 @t4743 @t5082) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t4743 @t5082) @t4743) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t4743)) @t5081)) (tptp.c_COMBI @t4743)))))) % 54.38/54.68 (assume @p3946 (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) @t1514))) % 54.38/54.68 (assume @p3947 (forall @t5084 (=> @t5083 (tptp.c_FunDef_Ois__measure @t2395 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 tptp.tc_Nat_Onat @t2395) @t2) @t2243))))) % 54.38/54.68 (assume @p3948 (forall @t5084 (=> @t5083 (tptp.c_FunDef_Ois__measure @t2172 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 tptp.tc_Nat_Onat @t2172) @t2) @t2226))))) % 54.38/54.68 (assume @p3949 (forall @t744 (tptp.c_FunDef_Ois__measure @t17 @t36))) % 54.38/54.68 (assume @p3950 (forall @t51 @t5083)) % 54.38/54.68 (assume @p3951 (forall @t5092 (=> (not (= @t5091 @t5090)) (not @t5087)))) % 54.38/54.68 (assume @p3952 (forall (@list @t33 @t1753 @t5093 @t5096 @t17) (=> (tptp.hBOOL (tptp.hAPP @t5101 @t4749)) (and (= @t5097 @t33) @t5095)))) % 54.38/54.68 (assume @p3953 (forall @t45 (=> (tptp.class_Nat_Osize @t17) (tptp.c_FunDef_Ois__measure @t17 (tptp.c_Nat_Osize__class_Osize @t17))))) % 54.38/54.68 (assume @p3954 (forall @t1756 (= @t4742 (tptp.hAPP @t5122 (tptp.hAPP @t5121 (tptp.hAPP (tptp.hAPP @t5120 (tptp.hAPP @t5119 (tptp.hAPP (tptp.hAPP @t5116 (tptp.hAPP @t5113 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t5111 (tptp.hAPP @t5110 (tptp.hAPP (tptp.hAPP @t5106 @t60) @t5081))) @t5081)))) (tptp.hAPP (tptp.hAPP @t5120 (tptp.hAPP @t5119 (tptp.hAPP (tptp.hAPP @t5116 @t5114) @t5112))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4743 @t4752 @t5105) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5103 (tptp.tc_fun @t4752 @t5105) @t4743) (tptp.c_COMBC @t4743 @t4752 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5104 @t5103 @t4743) (tptp.hAPP (tptp.c_COMBB @t4751 @t5102 @t4743) @t5100)) @t5098))) @t4747)))))))) % 54.38/54.68 (assume @p3955 (forall @t5127 (= (tptp.hAPP @t5081 @t5126) (tptp.hAPP @t2902 (tptp.hAPP @t4531 @t5125))))) % 54.38/54.68 (assume @p3956 (forall @t4750 (= (tptp.hAPP @t4748 @t34) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4752) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t5134 @t5134) @t4751 (tptp.c_Product__Type_Omap__pair @t5134 @t4743 @t5134 @t4743 @t5133 @t5133)) (tptp.c_Wellfounded_Olex__prod @t17 @t4743 @t1753 @t4749))) (tptp.hAPP @t5122 (tptp.hAPP @t5121 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4743 @t5105 @t5105) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1991 @t5118 @t4743) @t5131) (tptp.hAPP @t5114 @t5130))) @t5130))))))) % 54.38/54.68 (assume @p3957 (forall (@list @t28 @t5085 @t5086 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5138 @t5090)) (not (= @t5086 @t5137))))) % 54.38/54.68 (assume @p3958 (forall @t5140 (not (= @t5086 @t5139)))) % 54.38/54.68 (assume @p3959 (forall @t5141 (not (= @t5139 @t5086)))) % 54.38/54.68 (assume @p3960 (forall (@list @t5142 @t2196 @t5143 @t36 @t17) (= (= @t5145 (tptp.hAPP (tptp.hAPP @t5132 @t2196) @t5142)) (and @t2197 (= @t5143 @t5142))))) % 54.38/54.68 (assume @p3961 (= (tptp.hAPP @t5146 tptp.c_fFalse) @t56)) % 54.38/54.68 (assume @p3962 (= (tptp.hAPP @t5146 tptp.c_fTrue) @t56)) % 54.38/54.68 (assume @p3963 (forall (@list @t5147 @t149 @t10) (= (tptp.hAPP @t5089 (tptp.hAPP @t5148 @t5147)) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t5089 @t5147)) @t221)))) % 54.38/54.68 (assume @p3964 (forall @t5156 (= (tptp.hBOOL (tptp.hAPP @t5155 @t4747)) (or (and @t3986 @t5149) (and @t177 (tptp.hBOOL (tptp.hAPP @t5101 @t4747))))))) % 54.38/54.68 (assume @p3965 (forall (@list @t3811 @t226 @t17) (= (tptp.c_List_Oset__Cons @t17 @t226 @t3811) (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t231 tptp.tc_HOL_Obool @t4743) @t4601) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5161 @t231 @t4743) (tptp.hAPP (tptp.c_COMBB @t5105 tptp.tc_HOL_Obool @t17) (tptp.c_HOL_OEx @t4743))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4743 @t5161 @t5161) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5164 (tptp.tc_fun @t5161 @t5161) @t4743) (tptp.c_COMBS @t17 @t5105 @t5105)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5163 @t5164 @t4743) (tptp.hAPP (tptp.c_COMBB @t5115 @t5118 @t17) @t5117)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5161 @t5163 @t4743) (tptp.hAPP (tptp.c_COMBB @t5105 @t5115 @t17) @t5114)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4743 @t5162 @t5161) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5160 (tptp.tc_fun @t5162 @t5161) @t4743) (tptp.c_COMBB @t5159 @t5105 @t17)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5105 @t5160 @t4743) (tptp.c_COMBB @t4743 tptp.tc_HOL_Obool @t4743)) tptp.c_fequal))) @t5132))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t5105 @t5105) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1991 @t5118 @t17) @t5131) @t4174)) (tptp.hAPP @t5158 @t3811))))))))) % 54.38/54.68 (assume @p3966 (forall (@list @t5086 @t28 @t10 @t240) (and (=> @t5168 (= @t5167 (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t10) @t28))) (=> (not @t5168) (= @t5167 (tptp.hAPP (tptp.c_Random_Opick @t10 @t5086) (tptp.hAPP @t1878 @t5166))))))) % 54.38/54.68 (assume @p3967 (forall @t5172 (= (tptp.c_Random_Oselect__weight @t17 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5171) (tptp.hAPP (tptp.hAPP @t5170 @t1748) @t125)) @t5096)) @t5169))) % 54.38/54.68 (assume @p3968 (forall (@list @t1753 @t176 @t346 @t125 @t36 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP (tptp.hAPP @t5098 @t5178) @t5177)) @t5173)) (or @t3971 (and @t865 @t5176))))) % 54.38/54.68 (assume @p3969 (forall @t4928 (= (tptp.hBOOL (tptp.hAPP @t5175 @t4747)) (and @t5176 @t5181)))) % 54.38/54.68 (assume @p3970 (forall @t5185 (=> @t4900 (=> @t5184 (tptp.hBOOL (tptp.hAPP @t5155 @t5183)))))) % 54.38/54.68 (assume @p3971 (forall (@list @t5143 @t36 @t2456 @t17) (= (tptp.c_List_Olist_Olist__size @t17 @t2456 @t5145) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t2457 (tptp.c_List_Olist_Olist__size @t17 @t2456 @t5143))) @t221)))) % 54.38/54.68 (assume @p3972 (forall (@list @t5096 @t1753 @t125 @t17) (=> @t4272 (=> @t5189 (tptp.hBOOL (tptp.hAPP @t5187 @t5186)))))) % 54.38/54.68 (assume @p3973 (forall @t1756 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5190 (tptp.c_List_Olistrel1 @t17 @t4870)) @t5183)))) % 54.38/54.68 (assume @p3974 (forall @t1756 (= @t5192 @t5191))) % 54.38/54.68 (assume @p3975 (forall @t3875 (=> @t3874 (tptp.hBOOL (tptp.hAPP @t5193 (tptp.c_List_Olistrel1 @t17 @t2232)))))) % 54.38/54.68 (assume @p3976 (forall @t5196 (=> @t5195 (tptp.hBOOL (tptp.hAPP @t5194 @t5182))))) % 54.38/54.68 (assume @p3977 (forall @t5196 (=> @t5184 (tptp.hBOOL (tptp.hAPP @t5194 @t5183))))) % 54.38/54.68 (assume @p3978 (forall @t5197 (=> @t5195 @t5149))) % 54.38/54.68 (assume @p3979 (forall @t4928 (=> (tptp.hBOOL (tptp.hAPP @t5175 @t5183)) @t5181))) % 54.38/54.68 (assume @p3980 (forall @t4928 (= (tptp.hBOOL (tptp.hAPP @t5175 @t5192)) (tptp.hBOOL (tptp.hAPP @t5175 @t5191))))) % 54.38/54.68 (assume @p3981 (forall (@list @t5096 @t1753 @t176 @t125 @t17) (=> @t3986 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5154 (tptp.hAPP @t5150 @t5096))) @t5182))))) % 54.38/54.68 (assume @p3982 (forall @t5156 (= (tptp.hBOOL (tptp.hAPP @t5155 @t5182)) (or (and @t3986 @t5198) (and @t177 @t5195))))) % 54.38/54.68 (assume @p3983 (forall (@list @t5096 @t125 @t1753 @t17) (= (tptp.hAPP @t5202 (tptp.hAPP (tptp.hAPP @t5200 @t5153) @t5199)) (tptp.c_List_Oset__Cons @t17 @t3967 (tptp.hAPP @t5202 (tptp.hAPP (tptp.hAPP @t5200 @t5096) @t5199)))))) % 54.38/54.68 (assume @p3984 (forall (@list @t176 @t1753 @t17) (=> @t3857 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5203 @t176)) @t5173)))))) % 54.38/54.68 (assume @p3985 (forall @t5205 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5099 @t5096)) @t5204)))) % 54.38/54.68 (assume @p3986 (forall @t3875 (=> @t3874 (tptp.hBOOL (tptp.hAPP @t5206 (tptp.c_List_Olistrel @t17 @t2232)))))) % 54.38/54.68 (assume @p3987 (forall @t1756 (tptp.hBOOL (tptp.hAPP @t5206 @t5183)))) % 54.38/54.68 (assume @p3988 (forall @t5197 (=> @t5207 @t5149))) % 54.38/54.68 (assume @p3989 (forall (@list @t5208 @t1753 @t5093 @t5096 @t17) (=> @t5210 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5209 @t5208)) @t5204)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5099 @t5208)) @t5204)))))) % 54.38/54.68 (assume @p3990 (forall @t1756 (= @t5204 @t5183))) % 54.38/54.68 (assume @p3991 (forall @t5197 (=> @t5195 @t5210))) % 54.38/54.68 (assume @p3992 (forall @t4721 (=> (tptp.hBOOL (tptp.hAPP @t3873 @t3933)) (=> (tptp.c_Relation_Orefl__on @t17 @t4275 @t3933) (tptp.hBOOL (tptp.hAPP @t5193 (tptp.c_List_Olistrel @t17 @t3933))))))) % 54.38/54.68 (assume @p3993 (forall @t5197 (=> @t5207 @t5184))) % 54.38/54.68 (assume @p3994 (forall @t5185 (=> @t3986 (=> @t5207 (tptp.hBOOL (tptp.hAPP @t5155 @t5201)))))) % 54.38/54.68 (assume @p3995 (forall (@list @t3828 @t125 @t1753 @t17) (= (tptp.c_List_Olistrelp @t17 @t4273 @t125 @t3828) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5174 @t3828)) @t5201))))) % 54.38/54.68 (assume @p3996 (forall (@list @t1753 @t5093 @t176 @t5096 @t17) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5099 @t5151)) @t5201)) (not (forall (@list @t3 @t5211) (=> (= @t5096 @t5213) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t3540 @t176)) @t1753)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP (tptp.hAPP @t5098 @t5211) @t5093)) @t5201)))))))))) % 54.38/54.68 (assume @p3997 (forall (@list @t5093 @t5096 @t17 @t176 @t125 @t1753) (=> @t5214 (=> (tptp.c_List_Olistrelp @t17 @t1753 @t5096 @t5093) (tptp.c_List_Olistrelp @t17 @t1753 @t5153 @t5151))))) % 54.38/54.68 (assume @p3998 (forall (@list @t3663 @t3574 @t3664 @t2105 @t1753 @t17) (= (tptp.c_List_Olistrelp @t17 @t1753 (tptp.hAPP @t5217 @t3664) (tptp.hAPP @t5216 @t3663)) (and @t5215 (tptp.c_List_Olistrelp @t17 @t1753 @t3664 @t3663))))) % 54.38/54.68 (assume @p3999 (forall (@list @t1753 @t5096 @t5093 @t176 @t17) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP (tptp.hAPP @t5098 @t5151) @t5096)) @t5201)) (not (forall (@list @t283 @t5218) (=> (= @t5096 (tptp.hAPP @t5219 @t5218)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t4150 @t283)) @t1753)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5209 @t5218)) @t5201)))))))))) % 54.38/54.68 (assume @p4000 (forall @t4477 (=> @t4446 (tptp.hBOOL (tptp.hAPP @t5206 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t4743 @t4743) @t5220) (tptp.hAPP (tptp.c_COMBK @t5105 @t4743) @t5220))))))) % 54.38/54.68 (assume @p4001 (forall @t45 (= (tptp.c_List_Olists @t17 @t4275) @t5221))) % 54.38/54.68 (assume @p4002 (forall @t502 (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5223 @t5220) @t5222))))) % 54.38/54.68 (assume @p4003 (forall @t3966 (=> @t3975 (tptp.c_Equiv__Relations_Oequiv @t4743 @t5220 @t5201)))) % 54.38/54.68 (assume @p4004 (forall @t3966 (=> @t4178 (tptp.c_Relation_Orefl__on @t4743 @t5220 @t5201)))) % 54.38/54.68 (assume @p4005 (forall (@list @t226 @t5096 @t125 @t17) (= (tptp.hBOOL (tptp.hAPP @t5187 @t5220)) (and @t3350 @t5224)))) % 54.38/54.68 (assume @p4006 (forall @t5205 (=> @t5225 @t5189))) % 54.38/54.68 (assume @p4007 (forall @t5205 (=> @t5189 @t5225))) % 54.38/54.68 (assume @p4008 (forall @t5197 (= @t5207 (and @t5149 (forall @t22 (=> @t5232 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t5230 (tptp.hAPP @t5227 @t16))) @t1753)))))))) % 54.38/54.68 (assume @p4009 (forall @t4877 (=> (forall @t2115 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t5233 @t2108)) @t1753)) (= @t2109 @t2108) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP @t3539 @t2108) @t2109)) @t1753)))) (or @t5176 @t177 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5203 @t125)) @t5173)))))) % 54.38/54.68 (assume @p4010 (forall @t45 (not (tptp.hBOOL (tptp.hAPP @t5234 @t5221))))) % 54.38/54.68 (assume @p4011 (forall (@list @t9 @t5086 @t28 @t10) (= (tptp.hAPP @t5238 @t12) @t5237))) % 54.38/54.68 (assume @p4012 (forall @t5141 (= (tptp.hAPP @t5238 @t56) @t28))) % 54.38/54.68 (assume @p4013 (forall (@list @t33 @t5096 @t125 @t17) (= (tptp.hAPP (tptp.hAPP @t5226 @t5153) @t33) (tptp.c_Nat_Onat_Onat__case @t17 @t125 @t5228 @t33)))) % 54.38/54.68 (assume @p4014 (forall @t5241 (= @t5198 (and @t5149 (forall @t1268 (=> @t5240 (= @t5239 (tptp.hAPP @t5227 @t1264)))))))) % 54.38/54.68 (assume @p4015 (forall @t5243 (and (=> @t101 (= @t5242 @t28)) (=> @t102 (= @t5242 (tptp.hAPP @t5236 @t1173)))))) % 54.38/54.68 (assume @p4016 (forall @t5246 (and (=> @t1343 (= @t5244 @t28)) (=> @t5245 (= @t5244 (tptp.hAPP @t5236 @t1247)))))) % 54.38/54.68 (assume @p4017 (forall @t5251 (= @t5250 (tptp.hAPP (tptp.hAPP @t5249 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5097))) (tptp.hAPP @t5248 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t17 tptp.tc_Code__Numeral_Ocode__numeral) @t5228) tptp.c_Code__Numeral_Onat__of)))))) % 54.38/54.68 (assume @p4018 (forall @t4928 (= @t5176 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t5180) @t5179)) (= (tptp.hAPP (tptp.hAPP @t5252 @t5180) @t176) @t125)) (exists @t1268 (and (tptp.hBOOL (tptp.hAPP @t1616 (tptp.hAPP (tptp.hAPP @t2267 @t5180) @t5179))) (= (tptp.hAPP @t5253 @t125) (tptp.hAPP @t5253 @t176)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP @t3539 (tptp.hAPP (tptp.hAPP @t5226 @t125) @t1264)) (tptp.hAPP (tptp.hAPP @t5226 @t176) @t1264))) @t1753)))))))) % 54.38/54.68 (assume @p4019 (forall @t5258 (=> @t5257 (= @t5256 @t5086)))) % 54.38/54.68 (assume @p4020 (forall (@list @t5086 @t10 @t9 @t240) (=> @t5260 (= (tptp.hAPP (tptp.hAPP @t5235 @t5256) @t240) @t5259)))) % 54.38/54.68 (assume @p4021 (forall @t5262 (= (tptp.hAPP @t5089 @t5256) (tptp.hAPP @t5261 @t9)))) % 54.38/54.68 (assume @p4022 (forall @t5264 (= (tptp.hAPP @t5263 @t5139) (tptp.hAPP @t5136 @t5256)))) % 54.38/54.68 (assume @p4023 (forall @t5266 (= (tptp.hAPP @t5255 @t5265) (tptp.hAPP (tptp.hAPP @t5254 (tptp.hAPP @t2316 @t58)) @t5086)))) % 54.38/54.68 (assume @p4024 (forall (@list @t33 @t1045 @t17) (= (tptp.c_List_Osublist @t17 @t1045 @t2658) (tptp.hAPP @t5267 @t1045)))) % 54.38/54.68 (assume @p4025 (forall (@list @t5096 @t17 @t1045) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t1045) @t5097)) (= (tptp.hAPP (tptp.c_Random_Opick @t17 @t5268) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1045)) (tptp.hAPP @t5228 @t1045))))) % 54.38/54.68 (assume @p4026 (forall @t5275 (=> @t3172 (tptp.hBOOL (tptp.hAPP @t5234 (tptp.hAPP @t5165 (tptp.hAPP @t5274 (tptp.hAPP (tptp.hAPP @t5128 (tptp.hAPP (tptp.hAPP @t5106 @t79) @t5081)) @t33)))))))) % 54.38/54.68 (assume @p4027 (forall @t5251 (tptp.hBOOL (tptp.hAPP @t3130 @t5276)))) % 54.38/54.68 (assume @p4028 (forall @t3288 (=> @t4293 @t5280))) % 54.38/54.68 (assume @p4029 (forall @t5283 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t5282) @t5276)))) % 54.38/54.68 (assume @p4030 (forall @t5285 (=> (tptp.hBOOL (tptp.hAPP @t3349 @t5282)) @t5284))) % 54.38/54.68 (assume @p4031 (forall @t5291 (= (tptp.hAPP @t5267 @t5290) (tptp.hAPP @t5289 (tptp.hAPP @t5287 @t5096))))) % 54.38/54.68 (assume @p4032 (forall @t5172 (= @t5293 @t5292))) % 54.38/54.68 (assume @p4033 (forall @t5297 (= (tptp.hAPP @t5269 @t5290) @t5296))) % 54.38/54.68 (assume @p4034 (forall @t2670 (=> (tptp.c_Fun_Oinj__on @t17 @t67 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t231 (tptp.hAPP @t5298 @t226))) (tptp.c_Fun_Oinj__on @t4743 @t5279 @t5278 @t226)))) % 54.38/54.68 (assume @p4035 (forall @t5305 (=> @t5304 @t5301))) % 54.38/54.68 (assume @p4036 (forall @t5309 (=> @t5308 (=> (tptp.c_Fun_Oinj__on @t67 @t17 @t2 (tptp.hAPP (tptp.hAPP @t2956 @t5295) @t5306)) @t5198)))) % 54.38/54.68 (assume @p4037 (forall (@list @t1 @t5096 @t2 @t17 @t67) (= (= @t5290 @t5310) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1929 @t5295)) @t6))))) % 54.38/54.68 (assume @p4038 (forall @t5251 (= (tptp.hAPP @t5312 @t5096) @t5096))) % 54.38/54.68 (assume @p4039 (forall @t45 (= (tptp.hAPP @t5311 @t4658) @t5313))) % 54.38/54.68 (assume @p4040 (forall @t45 (= @t5312 @t5313))) % 54.38/54.68 (assume @p4041 (forall (@list @t5096 @t1 @t1945 @t2 @t17 @t67) (= (tptp.hAPP @t5289 (tptp.hAPP @t5317 @t5096)) (tptp.hAPP @t5315 @t5096)))) % 54.38/54.68 (assume @p4042 (forall (@list @t5143 @t1 @t1945 @t2 @t17 @t67) (= (tptp.hAPP @t5289 (tptp.hAPP @t5317 @t5143)) (tptp.hAPP @t5315 @t5143)))) % 54.38/54.68 (assume @p4043 (forall (@list @t1 @t2 @t17 @t67 @t1945) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5319 @t5279 @t4743 @t5318) (tptp.hAPP (tptp.c_List_Omap @t17 @t1945) @t1)) (tptp.hAPP @t5277 @t4792)))) % 54.38/54.68 (assume @p4044 (forall @t5323 (= (tptp.hAPP @t5289 @t5322) (tptp.hAPP (tptp.hAPP @t5132 @t127) @t5290)))) % 54.38/54.68 (assume @p4045 (forall (@list @t751 @t2 @t67 @t5096 @t176 @t17) (=> (not @t5324) (= (tptp.hAPP (tptp.hAPP @t5277 (tptp.c_Fun_Ofun__upd @t17 @t67 @t2 @t176 @t751)) @t5096) @t5300)))) % 54.38/54.68 (assume @p4046 (forall @t5328 (=> @t5327 (not @t5326)))) % 54.38/54.68 (assume @p4047 (forall @t5328 (=> @t5326 @t5284))) % 54.38/54.68 (assume @p4048 (forall (@list @t5096 @t125 @t176 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3424 @t5293)) (or @t3161 @t5324)))) % 54.38/54.68 (assume @p4049 (forall (@list @t5093 @t1 @t1945 @t5096 @t2 @t17 @t67) (=> (= @t5290 (tptp.hAPP (tptp.hAPP @t5314 @t1) @t5093)) (= @t5330 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t5319) @t5093))))) % 54.38/54.68 (assume @p4050 (forall @t5297 (= (tptp.hAPP @t5081 @t5290) @t5330))) % 54.38/54.68 (assume @p4051 (forall @t5305 (=> @t4293 @t5301))) % 54.38/54.68 (assume @p4052 (forall @t5309 (=> @t5308 (=> (tptp.c_Fun_Oinj__on @t67 @t17 @t2 @t4278) @t5198)))) % 54.38/54.68 (assume @p4053 (forall @t5127 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t5325) @t5276)))) % 54.38/54.68 (assume @p4054 (forall @t5332 (tptp.hBOOL (tptp.hAPP @t5331 @t5293)))) % 54.38/54.68 (assume @p4055 (forall (@list @t2 @t67 @t5096 @t17 @t33) (=> @t5335 (= (tptp.hAPP (tptp.hAPP @t5334 @t5300) @t33) (tptp.hAPP @t2 @t5333))))) % 54.38/54.68 (assume @p4056 (forall @t3288 (=> @t5280 @t4293))) % 54.38/54.68 (assume @p4057 (forall @t3288 (= @t5280 @t4293))) % 54.38/54.68 (assume @p4058 (forall @t5251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t5336) @t5097)))) % 54.38/54.68 (assume @p4059 (forall @t5343 (= @t5342 @t5340))) % 54.38/54.68 (assume @p4060 (forall (@list @t5096 @t17 @t33 @t86) (=> @t96 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP @t5269 (tptp.hAPP (tptp.hAPP @t5252 @t86) @t5096))) @t5282))))) % 54.38/54.68 (assume @p4061 (forall (@list @t5096 @t1 @t67 @t2 @t17) (= (tptp.c_List_Olist_Olist__size @t17 @t2 @t5310) (tptp.c_List_Olist_Olist__size @t67 (tptp.hAPP (tptp.c_Fun_Ocomp @t17 tptp.tc_Nat_Onat @t67 @t2) @t1) @t5096)))) % 54.38/54.68 (assume @p4062 (forall @t5346 (=> @t5284 (=> (tptp.hBOOL (tptp.hAPP @t5345 @t127)) (tptp.hBOOL (tptp.hAPP @t5345 @t5344)))))) % 54.38/54.68 (assume @p4063 (forall @t5346 (=> @t5284 (=> (tptp.hBOOL (tptp.hAPP @t1249 @t127)) (tptp.hBOOL (tptp.hAPP @t1249 @t5344)))))) % 54.38/54.68 (assume @p4064 (forall @t5347 (= @t5224 (forall @t7 (=> @t5341 @t2422))))) % 54.38/54.68 (assume @p4065 (forall @t5172 (=> @t5284 @t5348))) % 54.38/54.68 (assume @p4066 (forall @t5172 (= @t5284 (exists @t1268 (and @t5240 (= @t5239 @t125)))))) % 54.38/54.68 (assume @p4067 (forall (@list @t5096 @t17 @t33) (=> @t5335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t5333) @t5276))))) % 54.38/54.68 (assume @p4068 (forall @t558 (= @t5220 (tptp.hAPP @t5165 @t5273)))) % 54.38/54.68 (assume @p4069 (forall @t5251 (= @t5276 (tptp.hAPP @t4541 (tptp.hAPP @t5353 (tptp.hAPP @t5351 @t5123)))))) % 54.38/54.68 (assume @p4070 (forall @t5275 (=> @t3172 (tptp.hBOOL (tptp.hAPP @t5234 (tptp.hAPP @t5165 (tptp.hAPP @t5274 @t5354))))))) % 54.38/54.68 (assume @p4071 (forall @t5127 (= @t5325 (tptp.hAPP @t4541 (tptp.hAPP @t5353 (tptp.hAPP @t5351 @t5125)))))) % 54.38/54.68 (assume @p4072 (forall @t5197 (= @t5207 (and @t5149 (forall @t7 (=> @t5357 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3982 @t4273) @t3)))))))) % 54.38/54.68 (assume @p4073 (forall @t5361 (=> @t5360 (= (tptp.c_Random_Oselect__weight @t17 @t5268) @t5250)))) % 54.38/54.68 (assume @p4074 (forall @t558 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5157 @t5358) @t5220)))) % 54.38/54.68 (assume @p4075 (forall @t5205 (=> (tptp.hBOOL (tptp.hAPP @t5362 @t5201)) @t5359))) % 54.38/54.68 (assume @p4076 (forall @t5205 (=> (tptp.hBOOL (tptp.hAPP @t5364 @t5201)) @t5359))) % 54.38/54.68 (assume @p4077 (forall @t5251 (= (= @t5276 @t3254) @t5359))) % 54.38/54.68 (assume @p4078 (forall @t5251 (= (= @t3254 @t5276) @t5359))) % 54.38/54.68 (assume @p4079 (forall @t45 (= (tptp.hAPP @t5269 @t5358) @t3254))) % 54.38/54.68 (assume @p4080 (forall @t5367 (= (= @t5290 @t5358) @t5366))) % 54.38/54.68 (assume @p4081 (forall @t72 (= (tptp.hAPP @t5289 @t5365) @t5358))) % 54.38/54.68 (assume @p4082 (forall @t5297 (= (= @t5358 @t5290) @t5366))) % 54.38/54.68 (assume @p4083 (forall (@list @t5208 @t67 @t17) (= (tptp.hAPP (tptp.hAPP @t5372 @t5371) @t5369) @t5208))) % 54.38/54.68 (assume @p4084 (forall @t5377 (=> @t5376 (= (tptp.hAPP @t5368 @t5374) @t5093)))) % 54.38/54.68 (assume @p4085 (forall (@list @t5208 @t5093 @t67 @t5096 @t17) (=> @t5376 (= (= @t5374 @t5208) (and (= @t5371 @t5096) (= @t5369 @t5093)))))) % 54.38/54.68 (assume @p4086 (forall @t5377 (=> @t5376 (= (tptp.hAPP @t5370 @t5374) @t5096)))) % 54.38/54.68 (assume @p4087 (forall @t1756 (tptp.c_List_Olistrelp @t17 @t1753 @t5358 @t5358))) % 54.38/54.68 (assume @p4088 (forall @t5251 (= (tptp.c_List_Osublist @t17 @t5096 @t3236) @t5358))) % 54.38/54.68 (assume @p4089 (forall @t5378 (= (tptp.c_List_Olist_Olist__size @t17 @t2456 @t5358) @t56))) % 54.38/54.68 (assume @p4090 (forall @t478 (= (tptp.hAPP @t5089 @t5379) @t56))) % 54.38/54.68 (assume @p4091 (forall @t5251 (= (= @t5097 @t56) @t5359))) % 54.38/54.68 (assume @p4092 (forall (@list @t5085 @t5086 @t17 @t10) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5384)) @t5383) (tptp.hAPP @t5261 @t5380)))) % 54.38/54.68 (assume @p4093 (forall @t5387 (not (= @t5379 @t5386)))) % 54.38/54.68 (assume @p4094 (forall @t5387 (not (= @t5386 @t5379)))) % 54.38/54.68 (assume @p4095 (forall (@list @t5085 @t17 @t10) (= (tptp.hAPP (tptp.hAPP @t5381 @t5379) @t5085) @t5388))) % 54.38/54.68 (assume @p4096 (forall (@list @t5086 @t17 @t10) (= (tptp.hAPP @t5382 @t5358) @t5388))) % 54.38/54.68 (assume @p4097 (forall @t558 (= (tptp.c_List_Osublist @t17 @t5358 @t226) @t5358))) % 54.38/54.68 (assume @p4098 (forall @t5389 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t5384) @t9) @t5383) (tptp.hAPP (tptp.hAPP @t5381 @t5256) (tptp.hAPP (tptp.hAPP @t5252 @t9) @t5085))))) % 54.38/54.68 (assume @p4099 (forall @t454 (= (tptp.hAPP @t5255 @t5379) @t5379))) % 54.38/54.68 (assume @p4100 (forall @t5283 (= (= @t5281 @t5358) (or @t83 @t5359)))) % 54.38/54.68 (assume @p4101 (forall @t5390 (= (tptp.hAPP (tptp.hAPP @t5254 @t56) @t5086) @t5379))) % 54.38/54.68 (assume @p4102 (forall @t5393 (= (tptp.hAPP @t5267 @t5153) (tptp.c_Nat_Onat_Onat__case @t4743 @t5358 (tptp.hAPP @t5392 (tptp.hAPP (tptp.hAPP @t5391 @t5252) @t5096)) @t33)))) % 54.38/54.68 (assume @p4103 (forall @t5251 (= @t5394 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t17 @t3532) @t3978) @t5096)))) % 54.38/54.68 (assume @p4104 (forall @t5251 (= @t5348 @t5360))) % 54.38/54.68 (assume @p4105 (forall @t5141 (= (tptp.hAPP (tptp.hAPP @t5254 @t663) @t5139) @t5395))) % 54.38/54.68 (assume @p4106 (forall (@list @t5093 @t5096 @t1 @t2170 @t2 @t17 @t1945 @t67) (= (tptp.hAPP @t5398 (tptp.hAPP (tptp.hAPP @t5397 (tptp.hAPP @t5396 @t5096)) @t5093)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4813 @t17) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2170 @t1945 @t17) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4328 @t1949 @t2170) (tptp.hAPP (tptp.c_COMBB @t2169 @t17 @t1945) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t67 @t4328 @t2170) @t2204) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t2170 @t1945) @t5096) @t5093))))) % 54.38/54.68 (assume @p4107 (forall (@list @t5093 @t1 @t2170 @t5096 @t2 @t17 @t1945 @t67) (= (tptp.hAPP @t5398 (tptp.hAPP (tptp.hAPP @t5397 @t5096) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t2170 @t1945) @t1) @t5093))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4502 @t17) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t67 @t2170 @t17) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5399 (tptp.tc_fun @t2170 @t17) @t67) (tptp.hAPP (tptp.c_COMBB @t2169 @t17 @t2170) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 @t5400 @t5399) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4328 (tptp.tc_fun @t5400 @t5399) @t67) (tptp.c_COMBB @t1945 @t2169 @t2170)) @t2204)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t67 @t2170) @t5096) @t5093))))) % 54.38/54.68 (assume @p4108 (forall (@list @t5085 @t27 @t5086 @t28 @t17 @t10) (= (tptp.hAPP (tptp.hAPP @t5381 @t5139) (tptp.hAPP (tptp.hAPP @t5132 @t27) @t5085)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5384) @t2236) @t5383)))) % 54.38/54.68 (assume @p4109 (forall @t5205 (not (tptp.hBOOL (tptp.hAPP @t5362 @t5182))))) % 54.38/54.68 (assume @p4110 (forall @t5205 (not (tptp.hBOOL (tptp.hAPP @t5364 @t5182))))) % 54.38/54.68 (assume @p4111 (forall (@list @t5093 @t1 @t2170 @t5096 @t2 @t1945 @t67 @t17) (= (tptp.hAPP @t5403 (tptp.hAPP @t5396 @t5093)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t2404 @t2172) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1945 @t2170 @t2172) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1945 @t2402 @t5401) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2174 (tptp.tc_fun @t2402 @t5401) @t1945) (tptp.c_COMBB @t67 @t2172 @t2170)) @t4402)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t1945 @t2170) @t5096) @t5093))))) % 54.38/54.68 (assume @p4112 (forall (@list @t5093 @t5096 @t2 @t1945 @t67 @t17) (= (tptp.hAPP @t5403 @t5093) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4672 @t2172) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1945 @t67 @t2172) @t4402)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t1945 @t67) @t5096) @t5093))))) % 54.38/54.68 (assume @p4113 (forall (@list @t5093 @t2 @t1945 @t5096 @t67 @t17) (= (tptp.hAPP @t5373 (tptp.hAPP @t5318 @t5093)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4500 @t2172) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t1945 @t2172) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t4305 @t5404) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2174 (tptp.tc_fun @t4305 @t5404) @t17) (tptp.c_COMBB @t67 @t2172 @t1945)) @t2171)) @t2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t17 @t1945) @t5096) @t5093))))) % 54.38/54.68 (assume @p4114 (forall @t1756 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 @t5405) @t5201)))) % 54.38/54.68 (assume @p4115 (forall @t3969 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5174 @t5358)) @t5173))))) % 54.38/54.68 (assume @p4116 (forall @t5205 (not (tptp.hBOOL (tptp.hAPP @t5362 @t4747))))) % 54.38/54.68 (assume @p4117 (forall (@list @t1753 @t5093 @t17) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5363 @t5093)) @t4747))))) % 54.38/54.68 (assume @p4118 (forall @t5241 (= @t5198 (and @t5149 (forall @t7 (=> @t5357 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3982 tptp.c_fequal) @t3)))))))) % 54.38/54.68 (assume @p4119 (forall (@list @t5096 @t346 @t36 @t17) (= (tptp.hBOOL (tptp.hAPP @t3970 (tptp.hAPP @t5356 @t5394))) (and @t5406 @t865)))) % 54.38/54.68 (assume @p4120 (forall @t5410 (=> @t5409 @t5284))) % 54.38/54.68 (assume @p4121 (forall @t5410 (=> @t5409 @t5411))) % 54.38/54.68 (assume @p4122 (forall @t5410 (=> @t5409 (not (=> @t5284 (not @t5411)))))) % 54.38/54.68 (assume @p4123 (forall (@list @t5085 @t17 @t5086 @t10 @t240) (=> @t5412 (=> (tptp.hBOOL (tptp.hAPP @t245 @t5380)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t5384) @t5383) @t240) (tptp.hAPP (tptp.hAPP @t2193 @t5259) (tptp.hAPP (tptp.hAPP @t5226 @t5085) @t240))))))) % 54.38/54.68 (assume @p4124 (forall (@list @t125 @t17 @t226) (and (=> @t5416 (= @t5414 @t5413)) (=> (not @t5416) (= @t5414 @t5358))))) % 54.38/54.68 (assume @p4125 (forall @t45 (= (tptp.c_List_Olists @t17 @t3254) @t5417))) % 54.38/54.68 (assume @p4126 (forall @t5243 (and (=> @t101 (= @t5420 @t5379)) (=> @t102 (= @t5420 (tptp.hAPP @t5136 @t5419)))))) % 54.38/54.68 (assume @p4127 (forall (@list @t2232 @t17 @t5096) (=> @t5360 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 (tptp.hAPP @t5421 (tptp.hAPP @t5250 @t2232))) @t5276))))) % 54.38/54.68 (assume @p4128 (forall @t1756 (= (tptp.hAPP @t5202 @t5417) @t5417))) % 54.38/54.68 (assume @p4129 (forall @t558 (= (tptp.c_List_Oset__Cons @t17 @t226 @t5417) (tptp.hAPP (tptp.c_Set_Oimage @t17 @t4743 @t5424) @t226)))) % 54.38/54.68 (assume @p4130 (forall @t5246 (and (=> @t1343 (= @t5425 @t5379)) (=> @t5245 (= @t5425 (tptp.hAPP @t5136 (tptp.hAPP (tptp.hAPP @t5254 @t1247) @t5086))))))) % 54.38/54.68 (assume @p4131 (forall @t5429 (= @t5408 (tptp.hAPP @t4571 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1986 tptp.tc_HOL_Obool @t2172) @t5352) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2172 @t1986 @t1986) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2626 @t2628 @t2172) @t2627) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1986 @t2626 @t2172) @t2625) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2172 @t5428 @t1986) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3442 (tptp.tc_fun @t5428 @t1986) @t2172) (tptp.c_COMBB @t2172 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t67 @t2172) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t2174 tptp.tc_Nat_Onat) @t2171) @t5228)) @t5427))))) (tptp.hAPP @t4528 @t5426))))))) % 54.38/54.68 (assume @p4132 (forall @t45 (= (tptp.c_List_Olistset @t17 (tptp.c_List_Olist_ONil @t231)) @t5417))) % 54.38/54.68 (assume @p4133 (forall @t5432 (=> (tptp.hBOOL (tptp.hAPP @t2336 @t5431)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 (tptp.hAPP @t5421 (tptp.hAPP @t5169 @t2232))) @t5430))))) % 54.38/54.68 (assume @p4134 (forall @t478 (=> @t997 (= (tptp.hAPP @t5433 @t5379) @t261)))) % 54.38/54.68 (assume @p4135 (forall @t5141 (=> @t997 (= (tptp.hAPP @t5433 @t5139) (tptp.hAPP @t820 @t5434))))) % 54.38/54.68 (assume @p4136 (forall (@list @t5096 @t67 @t17) (=> @t5436 (= (tptp.hAPP @t5435 (tptp.hAPP (tptp.hAPP @t5288 @t2688) @t5096)) @t268)))) % 54.38/54.68 (assume @p4137 (forall @t5439 (=> @t2678 (= (tptp.hAPP @t5435 (tptp.hAPP (tptp.hAPP @t5288 @t2694) @t5096)) (tptp.hAPP (tptp.hAPP @t836 @t5438) @t5437))))) % 54.38/54.68 (assume @p4138 (forall (@list @t5096 @t55 @t2 @t67 @t17) (=> @t2617 (= (tptp.hAPP @t5435 (tptp.hAPP (tptp.hAPP @t5288 (tptp.hAPP @t2699 @t55)) @t5096)) (tptp.hAPP (tptp.hAPP @t349 @t5438) @t55))))) % 54.38/54.68 (assume @p4139 (forall (@list @t5096 @t2 @t55 @t67 @t17) (=> @t2617 (= (tptp.hAPP @t5435 (tptp.hAPP (tptp.hAPP @t5288 (tptp.hAPP (tptp.hAPP @t2664 @t425) @t2)) @t5096)) (tptp.hAPP @t425 @t5438))))) % 54.38/54.68 (assume @p4140 (forall @t5439 (=> @t869 (= (tptp.hAPP @t5435 (tptp.hAPP (tptp.hAPP @t5288 @t2702) @t5096)) (tptp.hAPP (tptp.hAPP @t866 @t5438) @t5437))))) % 54.38/54.68 (assume @p4141 (forall @t5251 (=> @t1529 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 (tptp.hAPP @t1527 @t5440)) (tptp.hAPP @t5435 (tptp.hAPP (tptp.hAPP @t5311 @t1527) @t5096))))))) % 54.38/54.68 (assume @p4142 (forall @t5297 (=> @t869 (= (tptp.hAPP @t839 @t5438) (tptp.hAPP @t5435 (tptp.hAPP (tptp.hAPP @t5288 (tptp.hAPP (tptp.c_Fun_Ocomp @t17 @t17 @t67 @t839) @t2)) @t5096)))))) % 54.38/54.68 (assume @p4143 (forall (@list @t5096 @t1753 @t67 @t17) (=> @t35 (= (tptp.hAPP @t5435 (tptp.hAPP (tptp.hAPP @t5288 (tptp.hAPP @t2246 @t1753)) @t5096)) (tptp.hAPP (tptp.hAPP @t349 (tptp.hAPP @t266 @t5330)) @t1753))))) % 54.38/54.68 (assume @p4144 (forall (@list @t5441 @t226 @t17) (= (tptp.c_List_Olistset @t17 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t231) @t226) @t5441)) (tptp.c_List_Oset__Cons @t17 @t226 (tptp.c_List_Olistset @t17 @t5441))))) % 54.38/54.68 (assume @p4145 (forall @t5251 (=> @t2678 (= @t5440 (tptp.hAPP (tptp.hAPP @t2680 @t5228) (tptp.hAPP @t2718 @t5097)))))) % 54.38/54.68 (assume @p4146 (forall @t5443 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1890 @t31) @t5431)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 (tptp.hAPP @t5442 @t31)) @t5430))))) % 54.38/54.68 (assume @p4147 (forall @t5251 (= @t5169 (tptp.hAPP (tptp.hAPP @t5249 (tptp.c_Random_Orange @t5431)) (tptp.hAPP @t5248 @t5442))))) % 54.38/54.68 (assume @p4148 (forall (@list @t5093 @t176 @t5096 @t67 @t17) (= (tptp.hAPP @t5373 @t5450) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5444 @t17 @t5448 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t5447 @t5447) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5446 (tptp.tc_fun @t5447 @t5447) @t17) (tptp.c_COMBB @t5444 @t5444 @t4743)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2172 @t5446 @t17) @t5445) (tptp.hAPP @t4440 @t176)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4743 @t5279 @t5444) @t5372) @t5093))) @t5096)))) % 54.38/54.68 (assume @p4149 (forall @t5452 (= (tptp.hAPP (tptp.hAPP @t5372 @t5153) @t5093) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5444 @t67 @t5448 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 @t5451 @t5451) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5446 (tptp.tc_fun @t5451 @t5451) @t67) (tptp.c_COMBB @t5444 @t5444 @t5279)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2172 @t5446 @t67) @t5445) @t2189))) @t5373)) @t5093)))) % 54.38/54.68 (assume @p4150 (forall (@list @t5453) (= (= (tptp.hAPP @t5457 @t5453) @t56) @t5456))) % 54.38/54.68 (assume @p4151 (forall (@list @t5458 @t239) (=> @t5464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t5461) @t5459))))) % 54.38/54.68 (assume @p4152 (forall @t5465 (= @t5344 (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t5457 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t17 tptp.tc_Nat_Onat) @t2) @t5096))) @t5097)))) % 54.38/54.68 (assume @p4153 (forall (@list @t5143 @t36 @t40 @t42 @t67 @t17) (= (tptp.hAPP @t5467 (tptp.hAPP (tptp.hAPP @t5320 @t36) @t5143)) (tptp.hAPP @t5466 @t5143)))) % 54.38/54.68 (assume @p4154 (forall @t5468 (= (tptp.hAPP @t5467 @t5365) @t42))) % 54.38/54.68 (assume @p4155 (forall @t2873 (=> (tptp.hBOOL (tptp.hAPP @t2948 (tptp.hAPP (tptp.hAPP @t1913 @t31) @t759))) (and (=> @t5471 (= @t5470 (tptp.hAPP (tptp.hAPP @t5473 @t31) @t5472))) (=> (not @t5471) (= @t5470 @t5469)))))) % 54.38/54.68 (assume @p4156 (forall @t2399 (and (=> @t2397 (= @t5481 @t5480)) (=> @t2398 (= @t5481 (tptp.c_Option_Ooption_Ooption__case @t5476 @t2172 @t5480 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t67 @t5476) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t5477 @t5477) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5479 (tptp.tc_fun @t5477 @t5477) @t17) (tptp.c_COMBB @t5476 @t5476 @t67)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5478 @t5479 @t17) (tptp.c_Product__Type_Oprod_Oprod__case @t4743 @t67 @t5476)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5159 @t5478 @t17) (tptp.hAPP (tptp.c_COMBB @t4743 @t5477 @t4743) @t5475)) @t5132)))) (tptp.hAPP @t5474 @t2394))) @t127)))))) % 54.38/54.68 (assume @p4157 (forall @t2873 (= @t3332 @t5483))) % 54.38/54.68 (assume @p4158 (forall @t2873 (= @t5483 @t3332))) % 54.38/54.68 (assume @p4159 (forall @t1078 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t242) @t240)) @t5485))) % 54.38/54.68 (assume @p4160 (forall (@list @t759 @t31 @t2 @t17) (=> @t2678 (= (tptp.hAPP @t2894 @t5483) (tptp.hAPP @t5435 (tptp.hAPP @t5486 @t5470)))))) % 54.38/54.68 (assume @p4161 (forall (@list @t1045 @t359 @t2 @t17) (=> @t2678 (= (tptp.hAPP @t5435 (tptp.hAPP @t5486 @t5487)) (tptp.hAPP @t2894 (tptp.hAPP @t5482 @t5487)))))) % 54.38/54.68 (assume @p4162 (forall @t1079 (and (=> @t603 (= @t5484 (tptp.hAPP (tptp.hAPP @t5473 @t240) (tptp.c_List_Oupto @t5488 @t242)))) (=> (not @t603) @t5485)))) % 54.38/54.68 (assume @p4163 (forall @t2873 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t31) @t759) (tptp.hAPP @t5482 (tptp.c_List_Oupto @t31 @t5489))))) % 54.38/54.68 (assume @p4164 (forall @t2873 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t31 @t759) (tptp.hAPP @t5482 @t5472)))) % 54.38/54.68 (assume @p4165 (forall @t65 (and (=> @t5492 (= @t5491 (tptp.hAPP (tptp.hAPP @t5473 @t5490) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t745 @t5490) @t661) @t1714)))) (=> (not @t5492) (= @t5491 @t5469))))) % 54.38/54.68 (assume @p4166 (forall @t2873 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t31 @t759) (tptp.hAPP @t5482 (tptp.c_List_Oupto @t3331 @t5489))))) % 54.38/54.68 (assume @p4167 (forall (@list @t9 @t5458 @t239) (=> @t5464 (= (tptp.hAPP @t5457 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t5458) @t239) @t9)) (tptp.hAPP (tptp.hAPP @t740 (tptp.hAPP (tptp.hAPP @t760 @t5459) @t9)) @t5461))))) % 54.38/54.68 (assume @p4168 (forall (@list @t226 @t1045 @t125 @t17) (= (tptp.c_List_Osublist @t17 @t5494 @t226) (tptp.hAPP (tptp.hAPP @t5493 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t4743) @t5415) @t5413) @t5358)) (tptp.c_List_Osublist @t17 @t1045 (tptp.hAPP @t4531 (tptp.hAPP @t4536 @t226))))))) % 54.38/54.68 (assume @p4169 (forall (@list @t5096 @t125 @t5208 @t5093 @t17) (= (= @t5501 @t5153) (or (and @t5499 (= @t5208 @t5153)) (exists @t5498 (and (= @t5093 @t5497) (= @t5496 @t5096))))))) % 54.38/54.68 (assume @p4170 (forall (@list @t5208 @t5093 @t5096 @t125 @t17) (= (= @t5153 @t5501) (or (and @t5499 (= @t5153 @t5208)) (exists @t5498 (and (= @t5497 @t5093) (= @t5096 @t5496))))))) % 54.38/54.68 (assume @p4171 (forall (@list @t176 @t5093 @t125 @t5096 @t17) (= (= @t5505 @t5503) (and @t5198 @t177)))) % 54.38/54.68 (assume @p4172 (forall @t5092 (=> @t997 (= (tptp.hAPP @t5433 @t5508) (tptp.hAPP (tptp.hAPP @t733 @t5434) (tptp.hAPP @t5433 @t5085)))))) % 54.38/54.68 (assume @p4173 (forall (@list @t5509 @t5086 @t5085 @t5511 @t28 @t10) (=> (= (tptp.hAPP @t5136 @t5511) @t5085) (=> (= @t5086 (tptp.hAPP @t5512 @t5509)) (= @t5139 @t5510))))) % 54.38/54.68 (assume @p4174 (forall (@list @t27 @t240 @t5086 @t28 @t10) (= (tptp.hAPP (tptp.hAPP @t5516 @t241) @t27) (tptp.hAPP @t5136 @t5515)))) % 54.38/54.68 (assume @p4175 (forall @t5517 (= (tptp.hAPP (tptp.hAPP @t5506 @t5139) @t5085) (tptp.hAPP @t5136 @t5508)))) % 54.38/54.68 (assume @p4176 (forall (@list @t27 @t5086 @t28 @t10) (= (tptp.hAPP (tptp.hAPP @t5516 @t56) @t27) @t5519))) % 54.38/54.68 (assume @p4177 (forall (@list @t27 @t5085 @t28 @t5086 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5521) @t5091) @t27) (tptp.hAPP @t5507 @t5520)))) % 54.38/54.68 (assume @p4178 (forall @t5523 (= (tptp.hAPP @t5269 @t5522) @t5303))) % 54.38/54.68 (assume @p4179 (forall (@list @t27 @t5085 @t28 @t240 @t5086 @t17 @t10) (= (tptp.hAPP (tptp.hAPP @t5381 @t5526) (tptp.hAPP @t5525 @t27)) (tptp.hAPP @t5524 @t2236)))) % 54.38/54.68 (assume @p4180 (forall @t5527 (=> (tptp.hBOOL (tptp.hAPP @t5138 @t240)) (= @t5526 @t5086)))) % 54.38/54.68 (assume @p4181 (forall (@list @t28 @t5086 @t10 @t242 @t240) @t5532)) % 54.38/54.68 (assume @p4182 (forall @t5533 (= (tptp.hAPP @t5514 @t5259) @t5086))) % 54.38/54.68 (assume @p4183 (forall (@list @t28 @t5085 @t5086 @t10 @t240) (=> @t5412 (= (tptp.hAPP (tptp.hAPP @t5534 @t240) @t28) (tptp.hAPP (tptp.hAPP @t5506 @t5526) @t5085))))) % 54.38/54.68 (assume @p4184 (forall @t5527 (= (tptp.hAPP @t5089 @t5526) @t5091))) % 54.38/54.68 (assume @p4185 (forall @t5092 (= (tptp.hAPP @t5089 @t5508) @t5536))) % 54.38/54.68 (assume @p4186 (forall (@list @t28 @t5085 @t5086 @t10 @t9) (and (=> @t5539 (= @t5538 (tptp.hAPP (tptp.hAPP @t5506 (tptp.hAPP (tptp.hAPP @t5513 @t9) @t28)) @t5085))) (=> @t5540 (= @t5538 (tptp.hAPP @t5507 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5085) @t5537) @t28))))))) % 54.38/54.68 (assume @p4187 (forall (@list @t10 @t5085 @t5086) (=> @t5087 (= @t5086 @t5541)))) % 54.38/54.68 (assume @p4188 (forall (@list @t27 @t240 @t10) (= (tptp.hAPP @t5542 @t27) @t5379))) % 54.38/54.68 (assume @p4189 (forall (@list @t731 @t240 @t10) (= (tptp.hAPP @t5542 @t731) @t5379))) % 54.38/54.68 (assume @p4190 (forall (@list @t125 @t359 @t5096 @t17) (= (= (tptp.hAPP (tptp.hAPP @t5543 @t359) @t125) @t5358) @t5359))) % 54.38/54.68 (assume @p4191 (forall @t5523 (= (= @t5522 @t5093) @t5359))) % 54.38/54.68 (assume @p4192 (forall @t5523 (= (= @t5522 @t5096) @t5499))) % 54.38/54.68 (assume @p4193 (forall @t5523 (= (= @t5522 @t5358) @t5544))) % 54.38/54.68 (assume @p4194 (forall (@list @t5096 @t17 @t5093) (= (= @t5093 @t5522) @t5359))) % 54.38/54.68 (assume @p4195 (forall (@list @t5093 @t17 @t5096) (= (= @t5096 @t5522) @t5499))) % 54.38/54.68 (assume @p4196 (forall @t5390 (= (tptp.hAPP @t5507 @t5379) @t5086))) % 54.38/54.68 (assume @p4197 (forall @t5523 (= (= @t5358 @t5522) @t5544))) % 54.38/54.68 (assume @p4198 (forall @t5545 (= @t5541 @t5085))) % 54.38/54.68 (assume @p4199 (forall (@list @t5546 @t5085 @t5548 @t17 @t5086 @t10) (=> (= @t5091 (tptp.hAPP @t5081 @t5548)) (=> (= @t5090 (tptp.hAPP @t5081 @t5546)) (= (tptp.hAPP @t5550 (tptp.hAPP (tptp.hAPP @t5493 @t5548) @t5546)) (tptp.hAPP (tptp.hAPP @t5549 (tptp.hAPP @t5382 @t5548)) (tptp.hAPP @t5547 @t5546))))))) % 54.38/54.68 (assume @p4200 (forall @t5309 (= (tptp.hAPP @t5289 @t5552) (tptp.hAPP (tptp.hAPP @t5493 @t5290) @t5307)))) % 54.38/54.68 (assume @p4201 (forall (@list @t176 @t359 @t5096 @t2 @t17 @t67) (= (tptp.hAPP @t5289 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t67 @t5096) @t359) @t176)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t17 @t5290) @t359) @t195)))) % 54.38/54.68 (assume @p4202 (forall (@list @t5553 @t240 @t5085 @t5086 @t17 @t10) (= (tptp.hAPP @t5524 @t5553) (tptp.hAPP (tptp.hAPP @t5381 (tptp.hAPP @t5514 (tptp.hAPP @t2228 @t5553))) (tptp.hAPP @t5525 (tptp.hAPP @t2227 @t5553)))))) % 54.38/54.68 (assume @p4203 (forall (@list @t5509 @t5085 @t5086 @t10) (= (tptp.hAPP (tptp.hAPP @t5506 @t5508) @t5509) (tptp.hAPP @t5507 @t5510)))) % 54.38/54.68 (assume @p4204 (forall (@list @t19 @t5208 @t5093 @t5096 @t17) (= (= @t5522 (tptp.hAPP @t5556 @t19)) (exists (@list @t5554) (or (and (= @t5096 (tptp.hAPP @t5556 @t5554)) (= (tptp.hAPP @t5555 @t5093) @t19)) (and (= (tptp.hAPP @t5504 @t5554) @t5208) (= @t5093 (tptp.hAPP @t5555 @t19)))))))) % 54.38/54.68 (assume @p4205 (forall @t5558 (= (= @t5522 (tptp.hAPP @t5504 @t5208)) @t5557))) % 54.38/54.68 (assume @p4206 (forall (@list @t5208 @t5096 @t5093 @t17) (= (= (tptp.hAPP @t5500 @t5096) (tptp.hAPP @t5556 @t5096)) @t5557))) % 54.38/54.68 (assume @p4207 (forall (@list @t27 @t28 @t240 @t5086 @t10) (= (tptp.hAPP (tptp.hAPP @t5559 @t240) @t27) @t5515))) % 54.38/54.68 (assume @p4208 (forall (@list @t5560 @t28 @t5086 @t10 @t5561 @t240) (=> (not (= @t240 @t5561)) (= (tptp.hAPP (tptp.hAPP @t5559 @t5561) @t5560) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 (tptp.hAPP (tptp.hAPP @t5513 @t5561) @t5560)) @t240) @t28))))) % 54.38/54.68 (assume @p4209 (forall (@list @t5548 @t5085 @t5509 @t5511 @t5086 @t10) (=> (= (tptp.hAPP @t5507 @t5511) @t5509) (=> (= @t5085 (tptp.hAPP @t5512 @t5548)) (= @t5508 (tptp.hAPP (tptp.hAPP @t5506 @t5509) @t5548)))))) % 54.38/54.68 (assume @p4210 (forall (@list @t226 @t5093 @t5096 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5157 @t5522) @t5220)) (and @t5224 (tptp.hBOOL (tptp.hAPP @t5562 @t5220)))))) % 54.38/54.68 (assume @p4211 (forall (@list @t5085 @t28 @t5086 @t10) (= (tptp.hAPP (tptp.hAPP @t5235 @t5521) @t5091) @t28))) % 54.38/54.68 (assume @p4212 (forall (@list @t9 @t5085 @t5086 @t10) (= (tptp.hAPP @t5564 (tptp.hAPP @t5535 @t9)) (tptp.hAPP @t5563 @t9)))) % 54.38/54.68 (assume @p4213 (forall @t5566 (= (tptp.hAPP @t5255 @t5508) (tptp.hAPP @t5565 (tptp.hAPP (tptp.hAPP @t5254 @t5537) @t5085))))) % 54.38/54.68 (assume @p4214 (forall (@list @t5567 @t5568 @t1753 @t5093 @t5096 @t17) (=> (or (and @t5195 (= @t5568 @t5567)) (and @t5198 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP (tptp.hAPP @t5098 @t5568) @t5567)) @t5182)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP (tptp.hAPP @t5098 @t5569) (tptp.hAPP @t5500 @t5567))) @t5182))))) % 54.38/54.68 (assume @p4215 (forall (@list @t31 @t125 @t226 @t5096 @t17) (=> (tptp.hBOOL (tptp.hAPP @t5331 @t226)) (=> @t3350 (tptp.hBOOL (tptp.hAPP @t5572 @t226)))))) % 54.38/54.68 (assume @p4216 (forall (@list @t125 @t31 @t5096 @t17) (tptp.hBOOL (tptp.hAPP @t5572 @t5292)))) % 54.38/54.68 (assume @p4217 (forall (@list @t125 @t1753 @t751 @t952 @t17) (=> @t5575 @t5574))) % 54.38/54.68 (assume @p4218 (forall (@list @t28 @t5086 @t10 @t240) (=> @t5412 (= (tptp.hAPP @t5529 @t240) @t28)))) % 54.38/54.68 (assume @p4219 (forall (@list @t125 @t5096 @t17 @t31) (=> @t5577 (= (= @t5571 @t5096) (= @t5576 @t125))))) % 54.38/54.68 (assume @p4220 (forall (@list @t28 @t242 @t5086 @t10 @t240) (=> @t5412 (and (=> @t5531 (= @t5530 @t28)) @t5532)))) % 54.38/54.68 (assume @p4221 (forall (@list @t751 @t31 @t5096 @t125 @t17) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t17 @t5153) @t31) @t751) (tptp.c_Nat_Onat_Onat__case @t4743 (tptp.hAPP (tptp.hAPP @t5132 @t751) @t5096) (tptp.hAPP @t5392 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t17 @t4743) @t5543) @t751)) @t31)))) % 54.38/54.68 (assume @p4222 (forall (@list @t5085 @t5086 @t10 @t9) (and (=> @t5539 (= @t5578 @t5237)) (=> @t5540 (= @t5578 (tptp.hAPP @t5563 @t5537)))))) % 54.38/54.68 (assume @p4223 (forall (@list @t125 @t5096 @t17 @t33) (=> @t5335 (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP @t5269 (tptp.hAPP (tptp.hAPP @t5543 @t33) @t125))))))) % 54.38/54.68 (assume @p4224 (forall (@list @t226 @t5579 @t1045 @t17) (= (tptp.c_List_Osublist @t17 (tptp.hAPP (tptp.hAPP @t5493 @t1045) @t5579) @t226) (tptp.hAPP (tptp.hAPP @t5493 (tptp.c_List_Osublist @t17 @t1045 @t226)) (tptp.c_List_Osublist @t17 @t5579 (tptp.hAPP @t4531 (tptp.hAPP (tptp.hAPP @t4529 (tptp.hAPP @t4535 (tptp.hAPP @t2712 (tptp.hAPP @t5081 @t1045)))) @t226))))))) % 54.38/54.68 (assume @p4225 (forall (@list @t5093 @t5567 @t5568 @t5096 @t1753 @t176 @t125 @t17) (=> @t3986 (=> (= @t5096 (tptp.hAPP @t5580 (tptp.hAPP @t5152 @t5567))) (=> (= @t5093 (tptp.hAPP @t5580 (tptp.hAPP @t5150 @t5567))) @t5195))))) % 54.38/54.68 (assume @p4226 (forall (@list @t176 @t125 @t952 @t1753 @t346 @t36 @t17) (=> @t3971 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP (tptp.hAPP @t5098 (tptp.hAPP @t5581 @t5178)) (tptp.hAPP @t5581 @t5177))) @t5173))))) % 54.38/54.68 (assume @p4227 (forall @t5586 (=> @t5412 (= (tptp.hAPP (tptp.hAPP @t5254 @t241) @t5086) (tptp.hAPP @t5585 (tptp.hAPP @t5582 @t5379)))))) % 54.38/54.68 (assume @p4228 (forall (@list @t1753 @t176 @t5093 @t125 @t5096 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP (tptp.hAPP @t5098 @t5505) @t5503)) @t5182)) (or (and @t5195 @t177) (and @t5198 @t3986))))) % 54.38/54.68 (assume @p4229 (forall @t5197 (= @t5195 (exists (@list @t283 @t16) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t5230 @t283)) @t1753)) @t5232 (= @t5093 (tptp.hAPP (tptp.hAPP @t5543 @t16) @t283))))))) % 54.38/54.68 (assume @p4230 (forall @t1635 (= (tptp.c_List_Onat__list @t1045) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t5482 @t1045))))) % 54.38/54.68 (assume @p4231 (forall @t5197 (=> @t5195 (not (forall @t287 (=> @t4153 (forall @t5588 (=> (= @t5096 (tptp.hAPP @t5555 (tptp.hAPP @t5212 @t5587))) (not (= @t5093 (tptp.hAPP @t5555 (tptp.hAPP @t5219 @t5587)))))))))))) % 54.38/54.68 (assume @p4232 (forall (@list @t1753 @t751 @t952 @t125 @t17) (=> @t5574 (=> (forall @t4495 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t5233 @t2109)) @t1753)))) @t5575)))) % 54.38/54.68 (assume @p4233 (forall @t5251 (= @t5592 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4743 @t17 @t5358 (tptp.hAPP (tptp.hAPP @t5590 @t5589) @t5424)) @t5096)))) % 54.38/54.68 (assume @p4234 (forall (@list @t149 @t5086 @t10 @t240) (=> @t5412 (= (tptp.hAPP @t5514 @t149) (tptp.hAPP @t5585 (tptp.hAPP @t5148 @t5594)))))) % 54.38/54.68 (assume @p4235 (forall @t5251 (= (tptp.hAPP @t5269 @t5592) @t5276))) % 54.38/54.68 (assume @p4236 (forall @t5285 (=> (tptp.hBOOL (tptp.hAPP @t3349 @t5598)) @t5284))) % 54.38/54.68 (assume @p4237 (forall @t5283 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t5598) @t5276)))) % 54.38/54.68 (assume @p4238 (forall @t5291 (= (tptp.hAPP @t5596 @t5290) (tptp.hAPP @t5289 (tptp.hAPP @t5599 @t5096))))) % 54.38/54.68 (assume @p4239 (forall @t5389 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t5384) @t9) @t5383) (tptp.hAPP (tptp.hAPP @t5381 @t5601) (tptp.hAPP (tptp.hAPP @t5595 @t9) @t5085))))) % 54.38/54.68 (assume @p4240 (forall @t5390 (= (tptp.hAPP (tptp.hAPP @t5593 @t56) @t5086) @t5086))) % 54.38/54.68 (assume @p4241 (forall @t5266 (= (tptp.hAPP @t5600 @t5603) (tptp.hAPP (tptp.hAPP @t5593 @t860) @t5086)))) % 54.38/54.68 (assume @p4242 (forall @t5266 (= (tptp.hAPP @t5255 @t5603) (tptp.hAPP @t5602 (tptp.hAPP (tptp.hAPP @t5254 @t860) @t5086))))) % 54.38/54.68 (assume @p4243 (forall @t5266 (= (tptp.hAPP @t5600 @t5265) (tptp.hAPP (tptp.hAPP @t5254 @t768) @t5601)))) % 54.38/54.68 (assume @p4244 (forall @t454 (= (tptp.hAPP @t5600 @t5379) @t5379))) % 54.38/54.68 (assume @p4245 (forall @t5251 (= (= @t5592 @t5358) @t5359))) % 54.38/54.68 (assume @p4246 (forall @t5262 (= (tptp.hAPP @t5089 @t5601) (tptp.hAPP @t5604 @t9)))) % 54.38/54.68 (assume @p4247 (forall @t5390 (= (tptp.hAPP @t5089 @t5606) @t5091))) % 54.38/54.68 (assume @p4248 (forall (@list @t5085 @t27 @t5086 @t9 @t10) (=> (= @t5601 @t5520) (= @t5237 @t27)))) % 54.38/54.68 (assume @p4249 (forall @t5141 (= (tptp.hAPP (tptp.hAPP @t5593 @t663) @t5139) @t5086))) % 54.38/54.68 (assume @p4250 (forall @t5264 (= (tptp.hAPP @t5607 @t5139) @t5601))) % 54.38/54.68 (assume @p4251 (forall @t5262 (= (tptp.hAPP @t5565 @t5601) @t5086))) % 54.38/54.68 (assume @p4252 (forall (@list @t5096 @t17 @t86 @t33) (=> @t251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP @t5269 (tptp.hAPP (tptp.hAPP @t5595 @t86) @t5096))) @t5598))))) % 54.38/54.68 (assume @p4253 (forall @t5283 (= (= @t5597 @t5358) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t5097) @t33))))) % 54.38/54.68 (assume @p4254 (forall @t5258 (=> @t5257 (= @t5601 @t5379)))) % 54.38/54.68 (assume @p4255 (forall @t5566 (= (tptp.hAPP @t5600 @t5508) (tptp.hAPP (tptp.hAPP @t5506 @t5601) (tptp.hAPP (tptp.hAPP @t5593 @t5537) @t5085))))) % 54.38/54.68 (assume @p4256 (forall @t5558 (= (= @t5522 @t5208) (and (= @t5096 (tptp.hAPP (tptp.hAPP @t5252 @t5097) @t5208)) (= @t5093 (tptp.hAPP (tptp.hAPP @t5595 @t5097) @t5208)))))) % 54.38/54.68 (assume @p4257 (forall @t5393 (= (tptp.hAPP @t5596 @t5153) (tptp.c_Nat_Onat_Onat__case @t4743 @t5153 (tptp.hAPP (tptp.hAPP @t5391 @t5595) @t5096) @t33)))) % 54.38/54.68 (assume @p4258 (forall @t5243 (and (=> @t101 (= @t5608 @t5139)) (=> @t102 (= @t5608 (tptp.hAPP (tptp.hAPP @t5593 @t1173) @t5086)))))) % 54.38/54.68 (assume @p4259 (forall (@list @t5086 @t10 @t240 @t9) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t5609) @t5091)) (= (tptp.hAPP (tptp.hAPP @t5235 @t5601) @t240) (tptp.hAPP @t5236 @t5609))))) % 54.38/54.68 (assume @p4260 (forall (@list @t5610 @t5613 @t5611 @t5612 @t17) (= (= (tptp.hAPP (tptp.hAPP @t5493 @t5612) @t5611) (tptp.hAPP (tptp.hAPP @t5493 @t5613) @t5610)) (and (=> @t5616 (and (= @t5612 (tptp.hAPP (tptp.hAPP @t5252 @t5615) @t5613)) (= @t5611 (tptp.hAPP (tptp.hAPP @t5493 (tptp.hAPP (tptp.hAPP @t5595 @t5615) @t5613)) @t5610)))) (=> (not @t5616) (and (= (tptp.hAPP (tptp.hAPP @t5252 @t5614) @t5612) @t5613) (= (tptp.hAPP (tptp.hAPP @t5493 (tptp.hAPP (tptp.hAPP @t5595 @t5614) @t5612)) @t5611) @t5610))))))) % 54.38/54.68 (assume @p4261 (forall @t5586 (=> @t5412 (= @t5619 @t5618)))) % 54.38/54.68 (assume @p4262 (forall (@list @t5086 @t28 @t17 @t10) (and (= (tptp.hAPP @t5605 @t5379) @t5379) (= (tptp.hAPP @t5591 (tptp.hAPP @t5620 @t5086)) (tptp.hAPP (tptp.hAPP @t5493 @t5086) (tptp.hAPP @t5620 @t5358)))))) % 54.38/54.68 (assume @p4263 (forall @t5246 (and (=> @t1343 (= @t5621 @t5139)) (=> @t5245 (= @t5621 (tptp.hAPP (tptp.hAPP @t5593 @t1247) @t5086)))))) % 54.38/54.68 (assume @p4264 (forall (@list @t5086 @t10 @t242 @t240) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t919) @t5091)) (= (tptp.hAPP (tptp.hAPP @t5254 @t919) @t5086) (tptp.hAPP @t5585 (tptp.hAPP (tptp.hAPP @t5254 @t242) @t5618)))))) % 54.38/54.68 (assume @p4265 (forall @t5390 (=> @t5622 (= @t5606 @t5086)))) % 54.38/54.68 (assume @p4266 (forall @t5623 (= (tptp.hAPP @t5550 @t5509) (tptp.hAPP (tptp.hAPP @t5549 (tptp.hAPP @t5382 (tptp.hAPP (tptp.hAPP @t5252 @t5091) @t5509))) (tptp.hAPP @t5547 (tptp.hAPP (tptp.hAPP @t5595 @t5091) @t5509)))))) % 54.38/54.68 (assume @p4267 (forall @t5623 (= (tptp.hAPP @t5382 (tptp.hAPP (tptp.hAPP @t5493 @t5085) @t5509)) (tptp.hAPP (tptp.hAPP @t5549 (tptp.hAPP (tptp.hAPP @t5381 (tptp.hAPP (tptp.hAPP @t5254 @t5380) @t5086)) @t5085)) (tptp.hAPP (tptp.hAPP @t5381 (tptp.hAPP (tptp.hAPP @t5593 @t5380) @t5086)) @t5509))))) % 54.38/54.68 (assume @p4268 (forall @t5586 (=> @t5412 (= @t5086 (tptp.hAPP @t5585 @t5619))))) % 54.38/54.68 (assume @p4269 (forall @t5627 (=> @t5539 (= (tptp.hAPP @t5565 (tptp.hAPP (tptp.hAPP @t5135 @t5626) @t5379)) @t5624)))) % 54.38/54.68 (assume @p4270 (forall @t5630 (=> @t5629 (=> @t5539 (= @t5626 @t5237))))) % 54.38/54.68 (assume @p4271 (forall @t5141 (= (tptp.hAPP @t5625 @t5139) @t28))) % 54.38/54.68 (assume @p4272 (forall @t5633 (=> @t5360 (= (tptp.hAPP (tptp.c_List_Ohd @t67) @t5300) (tptp.hAPP @t2 @t5632))))) % 54.38/54.68 (assume @p4273 (forall @t5637 @t5636)) % 54.38/54.68 (assume @p4274 (forall @t5637 (and (=> @t5628 (= @t5635 (tptp.hAPP @t5625 @t5085))) @t5636))) % 54.38/54.68 (assume @p4275 (forall @t5361 (=> @t5360 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 @t5632) @t5276))))) % 54.38/54.68 (assume @p4276 (forall @t5638 (=> @t5629 (= @t5634 (tptp.hAPP @t5236 @t56))))) % 54.38/54.68 (assume @p4277 (forall @t5638 (=> @t5629 (= @t5606 (tptp.hAPP @t5642 (tptp.hAPP @t5639 @t5379)))))) % 54.38/54.68 (assume @p4278 (forall (@list @t31 @t36 @t5096 @t17) (=> @t5645 (=> (not (tptp.hBOOL (tptp.hAPP @t3367 (tptp.hAPP @t5644 (tptp.hAPP (tptp.hAPP @t3144 @t5576) @t3254))))) (tptp.hBOOL (tptp.hAPP @t5643 (tptp.hAPP @t5570 @t36))))))) % 54.38/54.68 (assume @p4279 (forall @t5533 (=> @t5647 (tptp.hBOOL (tptp.hAPP @t5646 @t5618))))) % 54.38/54.68 (assume @p4280 (forall @t5262 (= @t5649 @t5648))) % 54.38/54.68 (assume @p4281 (forall @t5262 (= @t5648 @t5649))) % 54.38/54.68 (assume @p4282 (forall @t5262 (= @t5650 (tptp.hAPP @t5640 @t5624)))) % 54.38/54.68 (assume @p4283 (forall @t5367 (= (tptp.hAPP @t5289 (tptp.hAPP (tptp.c_List_Otl @t67) @t5096)) (tptp.hAPP @t5651 @t5290)))) % 54.38/54.68 (assume @p4284 (forall @t5653 (=> @t5647 (tptp.hBOOL (tptp.hAPP @t5652 @t5383))))) % 54.38/54.68 (assume @p4285 (forall (@list @t5086 @t17 @t5085 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5646 @t5085)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_prod @t17 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t17 @t10) @t5086) @t5085)))))) % 54.38/54.68 (assume @p4286 (forall @t5127 (=> @t5645 (tptp.hBOOL (tptp.hAPP @t5643 @t5126))))) % 54.38/54.68 (assume @p4287 (forall @t5390 (=> @t5647 (tptp.hBOOL (tptp.hAPP @t5646 @t5641))))) % 54.38/54.68 (assume @p4288 (forall @t5533 (=> @t5647 (tptp.hBOOL (tptp.hAPP @t5646 @t5584))))) % 54.38/54.68 (assume @p4289 (forall @t478 (= (tptp.hAPP @t5640 @t5379) @t5379))) % 54.38/54.68 (assume @p4290 (forall @t478 (tptp.hBOOL (tptp.hAPP @t5646 @t5379)))) % 54.38/54.68 (assume @p4291 (forall @t1079 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t5484)))) % 54.38/54.68 (assume @p4292 (forall @t5141 (= (tptp.hAPP @t5640 @t5139) @t5086))) % 54.38/54.68 (assume @p4293 (forall @t5637 (=> @t5629 (= (tptp.hAPP @t5640 @t5508) (tptp.hAPP @t5642 @t5085))))) % 54.38/54.68 (assume @p4294 (forall @t5251 (= (tptp.hBOOL (tptp.hAPP @t5643 @t5592)) @t5645))) % 54.38/54.68 (assume @p4295 (forall @t5262 (= (tptp.hAPP @t5607 @t5086) @t5649))) % 54.38/54.68 (assume @p4296 (forall @t5172 (= (tptp.hBOOL (tptp.hAPP @t5643 @t5153)) @t5654))) % 54.38/54.68 (assume @p4297 (forall @t5251 (=> @t5645 @t5655))) % 54.38/54.68 (assume @p4298 (forall @t5251 (=> @t5655 @t5645))) % 54.38/54.68 (assume @p4299 (forall @t5658 (=> @t5645 (=> @t5577 (=> (tptp.hBOOL (tptp.hAPP @t5657 @t5097)) (= (= @t5576 @t5656) (= @t31 @t759))))))) % 54.38/54.68 (assume @p4300 (forall @t5251 (= @t5645 (forall @t1268 (=> @t5240 (forall @t219 (=> @t5660 (=> (not (= @t1264 @t217)) (not (= @t5239 @t5659)))))))))) % 54.38/54.68 (assume @p4301 (forall @t5297 (= (tptp.hBOOL (tptp.hAPP @t5643 @t5290)) (and (tptp.hBOOL (tptp.hAPP @t5661 @t5096)) (tptp.c_Fun_Oinj__on @t67 @t17 @t2 @t5295))))) % 54.38/54.68 (assume @p4302 (forall @t5251 (=> @t2678 (=> @t5645 (= @t5440 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t17 @t17) @t1961) @t5276)))))) % 54.38/54.68 (assume @p4303 (forall @t5523 (= (tptp.hAPP @t5651 @t5522) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4743 @t17 (tptp.hAPP @t5651 @t5093) (tptp.hAPP (tptp.c_COMBK @t5159 @t17) (tptp.hAPP @t5589 @t5093))) @t5096)))) % 54.38/54.68 (assume @p4304 (forall @t5523 (= (tptp.hBOOL (tptp.hAPP @t5643 @t5522)) (and @t5645 @t5662 (= (tptp.hAPP (tptp.hAPP @t4006 @t5276) @t5302) @t3254))))) % 54.38/54.68 (assume @p4305 (forall @t5390 (= (tptp.hAPP @t5089 @t5641) @t5663))) % 54.38/54.68 (assume @p4306 (forall (@list @t2 @t5096 @t17 @t67) (=> @t2861 (=> @t5645 (= @t5665 (tptp.hAPP @t2860 @t5276)))))) % 54.38/54.68 (assume @p4307 (forall @t5262 (= (tptp.hAPP @t5640 @t5256) (tptp.hAPP @t5418 @t5641)))) % 54.38/54.68 (assume @p4308 (forall @t5630 (=> @t5629 (= @t5624 (tptp.hAPP @t5639 @t5650))))) % 54.38/54.68 (assume @p4309 (forall @t3174 (=> @t2861 (and (=> @t3172 (= @t5666 (tptp.hAPP @t5664 (tptp.hAPP @t5278 @t5667)))) (=> @t3173 (= @t5666 @t3170)))))) % 54.38/54.68 (assume @p4310 (forall @t558 (and (=> @t3172 (= @t5668 (tptp.hAPP @t5081 @t5667))) (=> @t3173 (= @t5668 @t56))))) % 54.38/54.68 (assume @p4311 (forall @t5251 (=> @t4476 (=> @t5360 (= (tptp.hAPP @t4403 @t5276) (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t17 @t349 @t5632) (tptp.hAPP @t5651 @t5096))))))) % 54.38/54.68 (assume @p4312 (forall @t5630 (=> @t5629 (= (tptp.hAPP @t5625 @t5671) (tptp.hAPP @t5236 @t5669))))) % 54.38/54.68 (assume @p4313 (forall @t5283 (= (tptp.hBOOL (tptp.hAPP @t5643 @t5673)) @t5645))) % 54.38/54.68 (assume @p4314 (forall @t5283 (= (tptp.hAPP @t5269 @t5673) @t5276))) % 54.38/54.68 (assume @p4315 (forall (@list @t5096 @t2 @t1945 @t36 @t1 @t67 @t17) (= (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t67 @t1 @t36) @t5674) (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t1945 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t4305 @t1949) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1244 (tptp.tc_fun @t4305 @t1949) @t17) @t2836) @t1)) @t2) @t36) @t5096)))) % 54.38/54.68 (assume @p4316 (forall @t5291 (= (tptp.hAPP @t5672 @t5290) (tptp.hAPP @t5289 (tptp.hAPP (tptp.c_List_Orotate @t67 @t33) @t5096))))) % 54.38/54.68 (assume @p4317 (forall (@list @t5086 @t9 @t58 @t10) (= (tptp.hAPP (tptp.c_List_Orotate @t10 @t58) @t5671) (tptp.hAPP (tptp.c_List_Orotate @t10 @t862) @t5086)))) % 54.38/54.68 (assume @p4318 (forall @t5675 (=> (tptp.class_Groups_Osemigroup__add @t17) (= (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t17 @t836 @t1126) @t5208) (tptp.hAPP @t1125 (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t17 @t836 @t176) @t5208)))))) % 54.38/54.68 (assume @p4319 (forall (@list @t5208 @t125 @t17) (=> @t5436 (= (tptp.hAPP @t1125 (tptp.hAPP @t5676 @t5208)) (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t17 @t836 @t125) @t5208))))) % 54.38/54.68 (assume @p4320 (forall (@list @t5453 @t33 @t86) (=> @t96 (tptp.hBOOL (tptp.hAPP @t95 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t760 @t33) @t5453)))))) % 54.38/54.68 (assume @p4321 (forall @t5283 (= (= @t5673 @t5358) @t5359))) % 54.38/54.68 (assume @p4322 (forall @t4354 (= (tptp.hAPP @t5677 @t5365) @t36))) % 54.38/54.68 (assume @p4323 (forall @t5262 (= (tptp.hAPP @t5089 @t5671) @t5091))) % 54.38/54.68 (assume @p4324 (forall (@list @t5096 @t125 @t36 @t2 @t67 @t17) (= (tptp.hAPP @t5677 @t5322) (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t67 @t2 (tptp.hAPP @t2181 @t125)) @t5096)))) % 54.38/54.68 (assume @p4325 (forall (@list @t5093 @t5096 @t36 @t2 @t67 @t17) (= (tptp.hAPP @t5677 @t5552) (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t67 @t2 @t5678) @t5093)))) % 54.38/54.68 (assume @p4326 (forall @t271 (= @t5672 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t4743 @t4743) @t33) @t5591)))) % 54.38/54.68 (assume @p4327 (forall @t5262 (= @t5679 (tptp.hAPP @t5670 @t5606)))) % 54.38/54.68 (assume @p4328 (forall @t5262 (= @t5671 (tptp.hAPP (tptp.c_List_Orotate @t10 @t5669) @t5086)))) % 54.38/54.68 (assume @p4329 (forall @t5262 (= (tptp.hAPP (tptp.c_List_Orotate @t10 @t12) @t5086) @t5679))) % 54.38/54.68 (assume @p4330 (forall @t45 (=> @t5436 (= @t5435 @t5676)))) % 54.38/54.68 (assume @p4331 (forall (@list @t5453 @t86) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t760 @t86) @t5453) @t56) (and @t220 @t5456)))) % 54.38/54.68 (assume @p4332 (forall @t45 (= (tptp.c_List_Orotate @t17 @t56) @t5313))) % 54.38/54.68 (assume @p4333 (forall @t329 (= (tptp.c_List_Orotate @t17 @t1052) (tptp.hAPP (tptp.c_Fun_Ocomp @t4743 @t4743 @t4743 (tptp.c_List_Orotate @t17 @t86)) @t5672)))) % 54.38/54.68 (assume @p4334 (forall @t5627 (=> (= @t5669 @t56) @t5680))) % 54.38/54.68 (assume @p4335 (forall @t5258 (=> @t5622 @t5680))) % 54.38/54.68 (assume @p4336 (forall @t5683 (=> @t4525 (= @t5682 (tptp.hAPP @t5681 @t5096))))) % 54.38/54.68 (assume @p4337 (forall @t5251 (=> @t1933 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t5276) (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t17 @t2967 @t3269) @t5096))))) % 54.38/54.68 (assume @p4338 (forall @t5251 (=> @t1933 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t17 @t5276) (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t17 @t4028 @t4277) @t5096))))) % 54.38/54.68 (assume @p4339 (forall @t5172 (=> @t2993 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t17 @t5293) (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t17 @t2967 @t125) @t5096))))) % 54.38/54.68 (assume @p4340 (forall @t5172 (=> @t2993 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t17 @t5293) (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t17 @t4028 @t125) @t5096))))) % 54.38/54.68 (assume @p4341 (forall @t5172 (=> @t190 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t17 @t5293) @t5684)))) % 54.38/54.68 (assume @p4342 (forall @t5172 (=> @t190 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t17 @t5293) @t5685)))) % 54.38/54.68 (assume @p4343 (forall @t5172 (=> @t190 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t17 @t2286 @t5293) @t5684)))) % 54.38/54.68 (assume @p4344 (forall @t5172 (=> @t190 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t17 @t2357 @t5293) @t5685)))) % 54.38/54.68 (assume @p4345 (forall @t5686 (=> @t1933 (= (tptp.hAPP (tptp.hAPP @t3076 @t5295) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t67 (tptp.hAPP @t2698 (tptp.hAPP (tptp.hAPP @t2692 @t2967) @t2)) @t3269) @t5096))))) % 54.38/54.68 (assume @p4346 (forall @t5686 (=> @t1933 (= (tptp.hAPP (tptp.hAPP @t1931 @t5295) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t67 (tptp.hAPP @t2698 (tptp.hAPP (tptp.hAPP @t2692 @t4028) @t2)) @t4277) @t5096))))) % 54.38/54.68 (assume @p4347 (forall (@list @t5453 @t33) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2771 @t33) @t5455)) (tptp.hBOOL (tptp.hAPP @t94 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t760 @t56) @t5453)))))) % 54.38/54.68 (assume @p4348 (forall @t5262 (= @t5671 (tptp.hAPP (tptp.hAPP @t5506 (tptp.hAPP (tptp.hAPP @t5593 @t5669) @t5086)) (tptp.hAPP (tptp.hAPP @t5254 @t5669) @t5086))))) % 54.38/54.68 (assume @p4349 (forall (@list @t1753 @t125 @t17 @t176) (=> (exists (@list @t2108 @t748) (= @t176 (tptp.hAPP (tptp.hAPP @t5132 @t2108) @t748))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5174 (tptp.hAPP @t5573 @t176))) @t5173))))) % 54.38/54.68 (assume @p4350 (forall (@list @t1753 @t176 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5363 @t176)) @t5173)) (exists (@list @t2109 @t3) (= @t176 (tptp.hAPP @t5687 @t3)))))) % 54.38/54.68 (assume @p4351 (forall (@list @t28 @t239 @t10 @t5086) (=> @t5629 (and (=> @t5692 (= @t5691 @t28)) (=> @t5693 (= @t5691 @t5688)))))) % 54.38/54.68 (assume @p4352 (forall (@list @t1 @t2 @t5096 @t17 @t67) (=> (and @t5694 @t3245) (=> (forall @t7 (=> @t5341 @t204)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t5665) (tptp.hAPP @t5664 (tptp.hAPP (tptp.hAPP @t5277 @t1) @t5096)))))))) % 54.38/54.68 (assume @p4353 (forall @t5633 (=> @t5360 (= (tptp.c_List_Olast @t67 @t5300) (tptp.hAPP @t2 @t5695))))) % 54.38/54.68 (assume @p4354 (forall @t5140 (and @t5698 @t5697))) % 54.38/54.68 (assume @p4355 (forall @t5140 @t5697)) % 54.38/54.68 (assume @p4356 (forall @t5140 @t5698)) % 54.38/54.68 (assume @p4357 (forall @t5702 @t5701)) % 54.38/54.68 (assume @p4358 (forall @t5702 @t5704)) % 54.38/54.68 (assume @p4359 (forall @t5702 (and @t5701 @t5704))) % 54.38/54.68 (assume @p4360 (forall (@list @t17 @t5705) (=> (not (= @t5705 @t5358)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2420 (tptp.c_List_Olast @t17 @t5705)) (tptp.hAPP @t5269 @t5705)))))) % 54.38/54.68 (assume @p4361 (forall @t5707 (= (tptp.c_List_Olast @t10 @t5706) @t28))) % 54.38/54.68 (assume @p4362 (forall @t5627 (=> @t5539 (= (tptp.c_List_Olast @t10 @t5601) @t5688)))) % 54.38/54.68 (assume @p4363 (forall @t5638 (=> @t5629 (= @t5688 (tptp.hAPP @t5236 @t5663))))) % 54.38/54.68 (assume @p4364 (forall @t3217 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5157 @t36) @t5220)) (or @t5709 (exists (@list @t2109 @t5708) (and (= @t36 (tptp.hAPP @t5687 @t5708)) @t3920 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5157 @t5708) @t5220)))))))) % 54.38/54.68 (assume @p4365 (forall (@list @t1 @t2 @t5096 @t17) (=> (forall @t7 (=> @t5341 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t5344) (tptp.c_List_Olist_Olist__size @t17 @t1 @t5096)))))) % 54.38/54.68 (assume @p4366 (forall @t5627 (=> (tptp.hBOOL (tptp.hAPP @t294 @t5091)) (= (tptp.c_List_Obutlast @t10 @t5256) @t5419)))) % 54.38/54.68 (assume @p4367 (forall (@list @t5085 @t5086 @t10 @t239) (=> (tptp.hBOOL (tptp.hAPP @t309 @t5091)) (=> (tptp.hBOOL (tptp.hAPP @t309 @t5090)) (=> (forall @t1268 (=> (tptp.hBOOL (tptp.hAPP @t1616 @t239)) (= @t5711 (tptp.hAPP @t5563 @t1264)))) (= (tptp.hAPP @t5710 @t5086) (tptp.hAPP @t5710 @t5085))))))) % 54.38/54.68 (assume @p4368 (forall @t5638 (=> @t5629 (=> @t5647 (tptp.hBOOL (tptp.hAPP @t5646 @t5712)))))) % 54.38/54.68 (assume @p4369 (forall @t5262 (= @t5714 @t5713))) % 54.38/54.68 (assume @p4370 (forall @t5262 (= @t5713 @t5714))) % 54.38/54.68 (assume @p4371 (forall @t5172 (=> @t5716 @t5284))) % 54.38/54.68 (assume @p4372 (forall @t5367 (= (tptp.hAPP @t5289 (tptp.c_List_Obutlast @t67 @t5096)) (tptp.c_List_Obutlast @t17 @t5290)))) % 54.38/54.68 (assume @p4373 (forall @t478 (= (tptp.c_List_Obutlast @t10 @t5379) @t5379))) % 54.38/54.68 (assume @p4374 (forall @t5140 (and (=> @t5628 (= @t5717 @t5379)) (=> @t5629 (= @t5717 (tptp.hAPP @t5136 @t5712)))))) % 54.38/54.68 (assume @p4375 (forall @t5702 (and (=> @t5700 (= @t5718 @t5712)) (=> @t5703 (= @t5718 (tptp.hAPP @t5507 (tptp.c_List_Obutlast @t10 @t5085))))))) % 54.38/54.68 (assume @p4376 (forall @t5720 (=> (or @t5716 (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP @t5269 @t5719)))) (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP @t5269 (tptp.c_List_Obutlast @t17 @t5522))))))) % 54.38/54.68 (assume @p4377 (forall @t5707 (= (tptp.c_List_Obutlast @t10 @t5706) @t5086))) % 54.38/54.68 (assume @p4378 (forall @t5627 (=> @t5539 (= (tptp.hAPP @t5255 @t5712) @t5256)))) % 54.38/54.68 (assume @p4379 (forall @t5390 (= (tptp.hAPP @t5089 @t5712) @t5663))) % 54.38/54.68 (assume @p4380 (forall @t5390 (= @t5712 (tptp.hAPP (tptp.hAPP @t5254 @t5663) @t5086)))) % 54.38/54.68 (assume @p4381 (forall (@list @t28 @t5086 @t10 @t239) (and (=> @t5692 (= @t5721 @t5712)) (=> @t5693 (= @t5721 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5712) @t239) @t28)))))) % 54.38/54.68 (assume @p4382 (forall @t5638 (=> @t5629 (= (tptp.hAPP (tptp.hAPP @t5506 @t5712) (tptp.hAPP (tptp.hAPP @t5135 @t5688) @t5379)) @t5086)))) % 54.38/54.68 (assume @p4383 (forall (@list @t5093 @t125 @t5096 @t17) (= (= @t5505 @t5093) (and (not @t5499) (= @t5719 @t5096) (= (tptp.c_List_Olast @t17 @t5093) @t125))))) % 54.38/54.68 (assume @p4384 (forall (@list @t2 @t5096 @t125 @t17 @t67) (=> @t2861 (=> @t5284 (= @t5665 (tptp.hAPP (tptp.hAPP @t3187 @t127) (tptp.hAPP @t5664 (tptp.hAPP @t5278 @t5722)))))))) % 54.38/54.68 (assume @p4385 (forall @t5332 (=> @t5645 (= @t5724 @t5723)))) % 54.38/54.68 (assume @p4386 (forall @t5727 (and (=> @t29 (= @t5726 @t5086)) (=> @t100 (= @t5726 (tptp.hAPP @t5518 @t5725)))))) % 54.38/54.68 (assume @p4387 (forall @t78 (= (tptp.c_List_Oremove1 @t10 @t28 @t5379) @t5379))) % 54.38/54.68 (assume @p4388 (forall @t5728 (= (tptp.c_List_Oremove1 @t10 @t28 (tptp.c_List_Oremove1 @t10 @t27 @t5509)) (tptp.c_List_Oremove1 @t10 @t27 (tptp.c_List_Oremove1 @t10 @t28 @t5509))))) % 54.38/54.68 (assume @p4389 (forall @t5172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t5724) @t5276)))) % 54.38/54.68 (assume @p4390 (forall @t5172 (=> @t5327 (= @t5722 @t5096)))) % 54.38/54.68 (assume @p4391 (forall @t5729 (=> @t5327 (not (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP @t5269 (tptp.c_List_Oremove1 @t17 @t176 @t5096)))))))) % 54.38/54.68 (assume @p4392 (forall (@list @t5096 @t17 @t346 @t36) (=> @t1016 (= (tptp.hBOOL (tptp.hAPP @t3367 (tptp.hAPP @t5269 (tptp.c_List_Oremove1 @t17 @t346 @t5096)))) @t5406)))) % 54.38/54.68 (assume @p4393 (forall @t5707 (=> @t5647 (tptp.hBOOL (tptp.hAPP @t5646 @t5725))))) % 54.38/54.68 (assume @p4394 (forall @t5720 (and (=> @t5284 (= @t5730 (tptp.hAPP (tptp.hAPP @t5493 @t5722) @t5093))) (=> @t5327 (= @t5730 (tptp.hAPP @t5504 (tptp.c_List_Oremove1 @t17 @t125 @t5093))))))) % 54.38/54.68 (assume @p4395 (forall @t5172 (and (=> @t5284 (= @t5731 (tptp.hAPP (tptp.hAPP @t740 @t5097) @t663))) (=> @t5327 (= @t5731 @t5097))))) % 54.38/54.68 (assume @p4396 (forall @t3233 (=> @t190 (=> @t3172 (= @t5733 (tptp.c_List_Oremove1 @t17 @t125 @t5732)))))) % 54.38/54.68 (assume @p4397 (forall @t5740 (=> @t5739 (= (tptp.hAPP (tptp.hAPP @t2923 @t5737) @t5735) @t5276)))) % 54.38/54.68 (assume @p4398 (forall @t45 (=> @t190 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t17 @t3254) @t5358)))) % 54.38/54.68 (assume @p4399 (forall @t5740 (=> @t5739 (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2421 @t5737)) @t583)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2421 @t5735)) @t4556)))))) % 54.38/54.68 (assume @p4400 (forall @t3595 (= (tptp.c_List_Opartition @t17 @t111 @t5358) @t5405))) % 54.38/54.68 (assume @p4401 (forall @t5743 (= (tptp.c_List_Opartition @t17 @t111 @t5153) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4743 @t4743 @t4751) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4743 @t5104 @t5104) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5742 (tptp.tc_fun @t5104 @t5104) @t4743) (tptp.c_COMBS @t4743 @t4751 @t4751)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5104 @t5742 @t4743) (tptp.hAPP (tptp.c_COMBB @t4751 @t5741 @t4743) (tptp.hAPP (tptp.c_If @t4751) @t2432))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4743 @t5104 @t4743) @t5098) @t5152)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4743 @t5159 @t5104) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5104 (tptp.tc_fun @t5159 @t5104) @t4743) (tptp.c_COMBB @t4743 @t4751 @t4743)) @t5098)) @t5152))) @t5738)))) % 54.38/54.68 (assume @p4402 (forall @t3233 (=> @t190 (=> @t3172 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t17 @t3156) (tptp.hAPP @t5745 @t5733)))))) % 54.38/54.68 (assume @p4403 (forall (@list @t230 @t226 @t1045 @t17) (=> (tptp.hBOOL (tptp.hAPP @t5747 @t5220)) (=> (tptp.hBOOL (tptp.hAPP @t5747 @t5222)) (tptp.hBOOL (tptp.hAPP @t5746 @t1045)))))) % 54.38/54.68 (assume @p4404 (forall @t558 (tptp.hBOOL (tptp.hAPP @t5748 @t5358)))) % 54.38/54.68 (assume @p4405 (forall (@list @t5093 @t5096 @t226 @t17) (= (tptp.hBOOL (tptp.hAPP @t5748 @t5522)) (and @t5749 (tptp.hBOOL (tptp.hAPP @t5748 @t5093)))))) % 54.38/54.68 (assume @p4406 (forall (@list @t125 @t2 @t17 @t67) (=> @t2318 (= (tptp.hAPP @t5751 @t5358) @t5413)))) % 54.38/54.68 (assume @p4407 (forall (@list @t3574 @t2105 @t226 @t17) (= (tptp.hBOOL (tptp.hAPP @t5748 (tptp.hAPP @t5217 @t3574))) (and (tptp.hBOOL (tptp.hAPP @t226 @t2105)) (tptp.hBOOL (tptp.hAPP @t5748 @t3574)))))) % 54.38/54.68 (assume @p4408 (forall (@list @t5093 @t67 @t176 @t125 @t2 @t17) (=> @t190 (and (=> @t2632 (= @t5754 (tptp.hAPP @t5321 @t5450))) (=> (not @t2632) (= @t5754 (tptp.hAPP @t5449 (tptp.hAPP @t5753 @t5093)))))))) % 54.38/54.68 (assume @p4409 (forall @t5323 (=> @t2318 (= (tptp.hAPP @t5081 @t5756) @t5755)))) % 54.38/54.68 (assume @p4410 (forall (@list @t5096 @t36 @t2 @t17 @t67) (=> @t2318 (not (= @t5758 @t5358))))) % 54.38/54.68 (assume @p4411 (forall @t45 (=> @t190 (tptp.c_Finite__Set_Ofun__left__comm @t17 @t4743 @t5744)))) % 54.38/54.68 (assume @p4412 (forall @t2954 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t17 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t2481 @t226)) @t230)) @t125)) (and (tptp.hBOOL (tptp.hAPP @t5748 @t125)) (tptp.hBOOL (tptp.hAPP @t5759 @t125)))))) % 54.38/54.68 (assume @p4413 (forall (@list @t5096 @t176 @t125 @t17) (=> @t190 (= (tptp.hAPP @t5745 (tptp.hAPP @t5761 @t5096)) (tptp.hAPP @t5761 @t5760))))) % 54.38/54.68 (assume @p4414 (forall (@list @t5096 @t67 @t176 @t125 @t2 @t17) (=> @t190 (=> @t4201 (= (tptp.hAPP @t5762 @t5763) (tptp.hAPP @t5753 (tptp.hAPP @t5762 @t5096))))))) % 54.38/54.68 (assume @p4415 (forall @t502 (= @t5765 (tptp.hAPP (tptp.hAPP @t5764 @t5748) @t5759)))) % 54.38/54.68 (assume @p4416 (forall (@list @t230 @t1045 @t226 @t17) (=> (tptp.hBOOL (tptp.hAPP @t5748 @t1045)) (=> (tptp.hBOOL (tptp.hAPP @t5759 @t1045)) (tptp.hBOOL (tptp.hAPP @t5765 @t1045)))))) % 54.38/54.68 (assume @p4417 (forall (@list @t5096 @t226 @t17) (= @t5749 (forall @t7 (=> @t5341 @t2538))))) % 54.38/54.68 (assume @p4418 (forall @t5323 (=> @t2318 (= (tptp.hAPP @t5269 @t5756) @t5292)))) % 54.38/54.68 (assume @p4419 (forall @t5172 (=> @t190 (= (tptp.c_List_Oremove1 @t17 @t125 @t5760) @t5096)))) % 54.38/54.68 (assume @p4420 (forall @t5323 (=> @t2318 (= (tptp.hBOOL (tptp.hAPP @t5643 @t5756)) @t5654)))) % 54.38/54.68 (assume @p4421 (forall @t502 (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5223 @t5748) @t5759))))) % 54.38/54.68 (assume @p4422 (forall @t3233 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t17 @t3915) @t125)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5157 @t125) @t5220))))) % 54.38/54.68 (assume @p4423 (forall @t502 (= @t5746 (tptp.hAPP (tptp.hAPP @t5764 (tptp.hAPP @t5158 @t5220)) (tptp.hAPP @t5158 @t5222))))) % 54.38/54.68 (assume @p4424 (forall @t5768 (=> @t190 (=> (not @t5767) (= @t5766 @t5763))))) % 54.38/54.68 (assume @p4425 (forall @t5172 (=> @t190 (=> @t5327 (= @t5769 @t5760))))) % 54.38/54.68 (assume @p4426 (forall (@list @t125 @t2 @t5096 @t17 @t67) (=> @t2318 (=> @t5645 (tptp.hBOOL (tptp.hAPP @t5643 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t17 @t67 @t2 @t125 @t5096))))))) % 54.38/54.68 (assume @p4427 (forall @t5172 (=> @t190 (=> @t5284 (= @t5769 @t5096))))) % 54.38/54.68 (assume @p4428 (forall @t5172 (=> @t190 (= (tptp.hAPP @t5269 @t5769) @t5292)))) % 54.38/54.68 (assume @p4429 (forall @t5768 (=> @t190 (=> @t5767 (= @t5766 @t5096))))) % 54.38/54.68 (assume @p4430 (forall @t5452 (= (tptp.c_Enum_Oproduct @t17 @t67 @t5153 @t5093) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t2172) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t67 @t2172) @t2189) @t5093)) @t5770)))) % 54.38/54.68 (assume @p4431 (forall @t5774 (= @t5773 (and @t5376 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5772 @t5408)) @t5771)))))) % 54.38/54.68 (assume @p4432 (forall (@list @t5567 @t5568 @t111 @t5093 @t67 @t5096 @t17) (=> @t5376 (= (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5569 (tptp.hAPP (tptp.hAPP @t5551 @t5093) @t5567)) (and @t5773 (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5568 @t5567)))))) % 54.38/54.68 (assume @p4433 (forall (@list @t863 @t55 @t346 @t36 @t111 @t67 @t17) (=> @t5775 (=> (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t55 @t863) (tptp.c_List_Olist__all2 @t17 @t67 @t111 (tptp.hAPP (tptp.hAPP @t5493 @t36) @t55) (tptp.hAPP (tptp.hAPP @t5551 @t346) @t863)))))) % 54.38/54.68 (assume @p4434 (forall (@list @t5093 @t176 @t5096 @t125 @t111 @t67 @t17) (= (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5153 @t5450) (and @t2438 @t5773)))) % 54.38/54.68 (assume @p4435 (forall @t5774 (=> @t5773 @t5376))) % 54.38/54.68 (assume @p4436 (forall (@list @t5096 @t111 @t67 @t17) (= (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5096 @t5365) @t5359))) % 54.38/54.68 (assume @p4437 (forall (@list @t5093 @t111 @t67 @t17) (= (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5358 @t5093) (= @t5093 @t5365)))) % 54.38/54.68 (assume @p4438 (forall (@list @t33 @t5093 @t5096 @t111 @t67 @t17) (=> @t5773 (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5281 (tptp.hAPP @t5287 @t5093))))) % 54.38/54.68 (assume @p4439 (forall @t5241 (= @t5198 (tptp.c_List_Olist__all2 @t17 @t17 tptp.c_fequal @t5096 @t5093)))) % 54.38/54.68 (assume @p4440 (forall (@list @t5776 @t5705 @t2 @t1945 @t111 @t67 @t17) (= (tptp.c_List_Olist__all2 @t17 @t67 @t111 (tptp.hAPP @t5402 @t5705) @t5776) (tptp.c_List_Olist__all2 @t1945 @t67 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t2423 @t1945) @t111) @t2) @t5705 @t5776)))) % 54.38/54.68 (assume @p4441 (forall (@list @t5776 @t2 @t1945 @t5705 @t111 @t67 @t17) (= (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5705 (tptp.hAPP @t5318 @t5776)) (tptp.c_List_Olist__all2 @t17 @t1945 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t4305 @t2187) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2423 (tptp.tc_fun @t4305 @t2187) @t17) (tptp.c_COMBB @t67 tptp.tc_HOL_Obool @t1945)) @t111)) @t2) @t5705 @t5776)))) % 54.38/54.68 (assume @p4442 (forall (@list @t33 @t5776 @t5705 @t111 @t67 @t17) (=> (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5705 @t5776) (tptp.c_List_Olist__all2 @t17 @t67 @t111 (tptp.hAPP @t5596 @t5705) (tptp.hAPP @t5599 @t5776))))) % 54.38/54.68 (assume @p4443 (forall (@list @t5777 @t17 @t10) (= (tptp.c_Enum_Oproduct @t10 @t17 @t5379 @t5777) @t5388))) % 54.38/54.68 (assume @p4444 (forall @t5774 (= @t5773 (and @t5376 (forall @t1268 (=> @t5240 (tptp.hBOOL (tptp.hAPP @t5337 (tptp.hAPP @t5427 @t1264))))))))) % 54.38/54.68 (assume @p4445 (forall @t5780 (=> @t5773 (=> (tptp.hBOOL (tptp.hAPP @t5779 @t5097)) @t5778)))) % 54.38/54.68 (assume @p4446 (forall @t5780 (=> @t5773 (=> (tptp.hBOOL (tptp.hAPP @t5779 @t5375)) @t5778)))) % 54.38/54.68 (assume @p4447 (forall (@list @t176 @t125 @t5093 @t111 @t67 @t5096 @t17 @t31) (=> @t5577 (=> @t5773 (=> @t2438 @t5781))))) % 54.38/54.68 (assume @p4448 (forall (@list @t31 @t176 @t125 @t5093 @t5096 @t111 @t67 @t17) (=> @t5773 (=> @t2438 (=> (tptp.hBOOL (tptp.hAPP @t765 @t5375)) @t5781))))) % 54.38/54.68 (assume @p4449 (forall @t5653 (=> @t5647 (=> (tptp.hBOOL (tptp.hAPP @t5643 @t5085)) (tptp.hBOOL (tptp.hAPP @t5652 (tptp.c_Enum_Oproduct @t10 @t17 @t5086 @t5085))))))) % 54.38/54.68 (assume @p4450 (forall @t5429 (= (tptp.hAPP @t5407 @t5770) (tptp.hAPP (tptp.hAPP @t4401 @t5276) (tptp.hAPP @t3280 @t5306))))) % 54.38/54.69 (assume @p4451 (forall @t5251 (= (tptp.hAPP @t5298 (tptp.hAPP @t5783 @t5782)) (tptp.hAPP @t3885 @t5276)))) % 54.38/54.69 (assume @p4452 (forall @t5390 (= (tptp.hAPP @t5784 (tptp.c_Enum_Osublists @t10 @t5086)) (tptp.hAPP @t3884 @t5091)))) % 54.38/54.69 (assume @p4453 (forall @t478 (= (tptp.c_Enum_Osublists @t10 @t5379) @t5788))) % 54.38/54.69 (assume @p4454 (forall @t5172 (= (tptp.c_Enum_Osublists @t17 @t5153) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet @t5789 @t5789) @t5782) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5789 @t5789 @t5789) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5789 (tptp.tc_fun @t5789 @t5789) @t5789) (tptp.c_List_Oappend @t4743)) (tptp.hAPP @t5790 @t5152))) (tptp.c_COMBI @t5789)))))) % 54.38/54.69 (assume @p4455 (forall @t5251 (=> @t5645 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t231) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4743 @t231) @t5269) @t5782)))))) % 54.38/54.69 (assume @p4456 (forall @t5283 (= @t5792 (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP @t5117 (tptp.hAPP @t5114 @t5354)) (tptp.hAPP @t5272 @t5276)))))) % 54.38/54.69 (assume @p4457 (forall @t3595 (= (tptp.c_Enum_Oenum__the @t17 @t111) @t5793))) % 54.38/54.69 (assume @p4458 (forall @t5258 (=> @t5647 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t5088) @t5794))))) % 54.38/54.69 (assume @p4459 (forall (@list @t10 @t9) (and (=> @t101 (= @t5795 @t5788)) (=> @t102 (= @t5795 @t5785))))) % 54.38/54.69 (assume @p4460 (forall @t5390 (= (tptp.c_Enum_On__lists @t10 @t56 @t5086) @t5788))) % 54.38/54.69 (assume @p4461 (forall @t5262 (= (tptp.hAPP @t5784 @t5794) (tptp.hAPP (tptp.hAPP @t338 @t5091) @t9)))) % 54.38/54.69 (assume @p4462 (forall (@list @t5096 @t33 @t5093 @t17) (=> (tptp.hBOOL (tptp.hAPP @t5562 @t5792)) @t5095))) % 54.38/54.69 (assume @p4463 (forall (@list @t111 @t346 @t36 @t67 @t17) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5772 (tptp.hAPP @t5407 (tptp.hAPP (tptp.hAPP @t5372 @t36) @t346)))) @t5771)) (=> @t5797 @t5775)))) % 54.38/54.69 (assume @p4464 (forall (@list @t125 @t111 @t5096 @t17) (=> @t5340 (=> @t5284 @t2433)))) % 54.38/54.69 (assume @p4465 (forall (@list @t5800 @t5801 @t67 @t17) (= (tptp.c_Lazy__Sequence_Oproduct @t17 @t67 @t5801 @t5800) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t17 @t2172 @t5801) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5799 @t5798 @t17) (tptp.c_Lazy__Sequence_Obind @t67 @t2172 @t5800)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2174 @t5799 @t17) (tptp.hAPP (tptp.c_COMBB @t2172 @t5798 @t67) (tptp.c_Lazy__Sequence_Osingle @t2172))) @t2171)))))) % 54.38/54.69 (assume @p4466 (forall @t5683 (=> @t5004 (= @t5682 (tptp.hAPP @t5681 @t5802))))) % 54.38/54.69 (assume @p4467 (forall @t5390 (tptp.hBOOL (tptp.hAPP @t5646 @t5803)))) % 54.38/54.69 (assume @p4468 (forall @t5390 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t5089 @t5803)) @t5091)))) % 54.38/54.69 (assume @p4469 (forall @t5251 (= @t5804 @t5645))) % 54.38/54.69 (assume @p4470 (forall @t5390 (=> @t5647 (= @t5803 @t5086)))) % 54.38/54.69 (assume @p4471 (forall @t5707 (=> @t5647 (= (tptp.c_List_Oremove1 @t10 @t28 @t5803) (tptp.c_List_Oremdups @t10 @t5725))))) % 54.38/54.69 (assume @p4472 (forall @t5251 (= (tptp.hAPP @t5269 @t5802) @t5276))) % 54.38/54.69 (assume @p4473 (forall @t5251 (= (= @t5805 @t5097) @t5804))) % 54.38/54.69 (assume @p4474 (forall @t5390 (= (tptp.c_List_Oremdups @t10 @t5803) @t5803))) % 54.38/54.69 (assume @p4475 (forall @t5297 (= (tptp.c_List_Oremdups @t17 (tptp.hAPP @t5289 (tptp.c_List_Oremdups @t67 @t5096))) (tptp.c_List_Oremdups @t17 @t5290)))) % 54.38/54.69 (assume @p4476 (forall @t478 (= (tptp.c_List_Oremdups @t10 @t5379) @t5379))) % 54.38/54.69 (assume @p4477 (forall @t282 (= (= @t5358 @t5807) @t5806))) % 54.38/54.69 (assume @p4478 (forall @t282 (= (= @t5807 @t5358) @t5806))) % 54.38/54.69 (assume @p4479 (forall @t5172 (and (=> @t5284 (= @t5808 @t5802)) (=> @t5327 (= @t5808 (tptp.hAPP @t5152 @t5802)))))) % 54.38/54.69 (assume @p4480 (forall @t5251 (= @t5805 @t5336))) % 54.38/54.69 (assume @p4481 (forall @t5813 (= (tptp.hAPP @t5081 (tptp.c_List_Oremdups @t17 @t5812)) (tptp.hAPP @t2880 (tptp.hAPP (tptp.hAPP @t5811 @t5810) @t5269))))) % 54.38/54.69 (assume @p4482 (forall @t5251 (=> @t190 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t17 @t5276) (tptp.c_List_Olinorder__class_Osort__key @t17 @t17 @t1961 @t5802))))) % 54.38/54.69 (assume @p4483 (forall @t5813 (= (= @t5358 @t5812) @t5816))) % 54.38/54.69 (assume @p4484 (forall @t5813 (= (= @t5812 @t5358) @t5816))) % 54.38/54.69 (assume @p4485 (forall @t5141 (= (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5786 @t28) @t5086)) (tptp.hAPP (tptp.hAPP @t5506 @t28) @t5817)))) % 54.38/54.69 (assume @p4486 (forall @t72 (=> @t2318 (= (tptp.c_List_Olinorder__class_Osort__key @t17 @t67 @t2 @t5358) @t5358)))) % 54.38/54.69 (assume @p4487 (forall @t478 (= (tptp.c_List_Oconcat @t10 @t5785) @t5379))) % 54.38/54.69 (assume @p4488 (forall @t5367 (= (tptp.hAPP @t5289 (tptp.c_List_Oconcat @t67 @t5096)) (tptp.c_List_Oconcat @t17 @t5819)))) % 54.38/54.69 (assume @p4489 (forall @t5813 (= @t5812 (tptp.hAPP (tptp.c_List_Ofoldl @t4743 @t4743 @t5493 @t5358) @t5809)))) % 54.38/54.69 (assume @p4490 (forall (@list @t5809 @t5096 @t17) (= (tptp.hAPP (tptp.c_List_Ofoldl @t4743 @t4743 @t5493 @t5096) @t5809) (tptp.hAPP @t5504 @t5812)))) % 54.38/54.69 (assume @p4491 (forall @t5367 (=> @t2318 (= (tptp.hAPP @t5081 @t5820) @t5097)))) % 54.38/54.69 (assume @p4492 (forall @t5367 (=> @t2318 (= (tptp.hAPP @t5269 @t5820) @t5276)))) % 54.38/54.69 (assume @p4493 (forall @t5367 (=> @t2318 (= (tptp.hBOOL (tptp.hAPP @t5643 @t5820)) @t5645)))) % 54.38/54.69 (assume @p4494 (forall @t5813 (= (tptp.hAPP @t5081 @t5812) (tptp.hAPP @t5457 (tptp.hAPP @t5821 @t5809))))) % 54.38/54.69 (assume @p4495 (forall @t5251 (= (tptp.hAPP @t5269 @t5823) (tptp.hAPP (tptp.hAPP @t5811 @t5822) @t5269)))) % 54.38/54.69 (assume @p4496 (forall @t5323 (=> @t2318 (= (tptp.c_List_Olinorder__class_Osort__key @t17 @t67 @t2 @t5153) (tptp.hAPP @t5751 @t5820))))) % 54.38/54.69 (assume @p4497 (forall @t5092 (= (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t5088) @t5086) @t5085)) (tptp.hAPP (tptp.hAPP @t5506 @t5817) (tptp.c_List_Oconcat @t10 @t5085))))) % 54.38/54.69 (assume @p4498 (forall @t5251 (=> @t190 (= @t5824 (tptp.hAPP (tptp.c_List_Ofoldl @t4743 @t17 (tptp.hAPP @t5422 @t5744) @t5358) @t5096))))) % 54.38/54.69 (assume @p4499 (forall @t5523 (=> @t5829 (=> @t5828 (=> @t5825 @t5198))))) % 54.38/54.69 (assume @p4500 (forall @t5523 (=> @t5825 (=> @t5828 (= @t5829 @t5198))))) % 54.38/54.69 (assume @p4501 (forall @t5297 (= (tptp.c_List_Oconcat @t17 (tptp.hAPP (tptp.hAPP @t5830 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 @t4743 @t4743) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t5159 @t67) @t5132) @t2)) @t5358)) @t5096)) @t5290))) % 54.38/54.69 (assume @p4502 (forall @t5283 (= (tptp.c_Enum_On__lists @t17 @t34 @t5096) (tptp.c_List_Oconcat @t4743 (tptp.hAPP (tptp.hAPP @t5832 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4743 @t4743 @t5789) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t17 @t4743) @t5831 @t4743) (tptp.c_List_Omap @t17 @t4743)) @t5423)) @t5096)) @t5791))))) % 54.38/54.69 (assume @p4503 (forall @t5839 @t5838)) % 54.38/54.69 (assume @p4504 (forall @t5813 (= @t5836 (tptp.hAPP (tptp.hAPP @t5843 @t5631) @t5842)))) % 54.38/54.69 (assume @p4505 (forall @t5845 (= (tptp.hAPP @t5844 @t5823) (tptp.c_List_Oconcat @t17 (tptp.hAPP (tptp.hAPP @t5790 @t5844) @t5096))))) % 54.38/54.69 (assume @p4506 (forall (@list @t5096 @t2 @t111 @t17 @t67) (=> @t2318 (= (tptp.hAPP @t5846 @t5820) (tptp.c_List_Olinorder__class_Osort__key @t17 @t67 @t2 @t5847))))) % 54.38/54.69 (assume @p4507 (forall @t5343 (=> @t5645 (tptp.hBOOL (tptp.hAPP @t5643 @t5847))))) % 54.38/54.69 (assume @p4508 (forall @t5848 (= (= @t5847 @t5096) @t5342))) % 54.38/54.69 (assume @p4509 (forall @t5848 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t5849) @t5276)))) % 54.38/54.69 (assume @p4510 (forall @t5848 (= (tptp.hAPP (tptp.hAPP @t760 @t5850) (tptp.hAPP @t5081 (tptp.hAPP (tptp.c_List_Ofilter @t17 @t4566) @t5096))) @t5097))) % 54.38/54.69 (assume @p4511 (forall @t5848 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t5850) @t5097)))) % 54.38/54.69 (assume @p4512 (forall @t5848 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t4743 @t4743) @t5738) (tptp.hAPP (tptp.c_List_Ofilter @t17 (tptp.hAPP @t5851 @t111)) @t5096)))) % 54.38/54.69 (assume @p4513 (forall @t5848 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t4743 @t4743) @t5738) @t5847))) % 54.38/54.69 (assume @p4514 (forall @t5465 (= (tptp.c_List_Opartition @t17 @t2 @t5096) (tptp.hAPP (tptp.hAPP @t5098 (tptp.hAPP (tptp.c_List_Ofilter @t17 @t2) @t5096)) (tptp.hAPP (tptp.c_List_Ofilter @t17 (tptp.hAPP @t5851 @t2)) @t5096))))) % 54.38/54.69 (assume @p4515 (forall (@list @t5096 @t2260 @t111 @t17) (= (tptp.hAPP @t5846 @t5853) (tptp.hAPP (tptp.c_List_Ofilter @t17 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t2481 @t2260)) @t111)) @t5096)))) % 54.38/54.69 (assume @p4516 (forall @t5855 (=> @t5854 (= (tptp.c_List_Oremove1 @t17 @t125 @t5847) @t5847)))) % 54.38/54.69 (assume @p4517 (forall (@list @t5096 @t125 @t2260 @t17) (= (tptp.hAPP @t5852 @t5722) (tptp.c_List_Oremove1 @t17 @t125 @t5853)))) % 54.38/54.69 (assume @p4518 (forall (@list @t5096 @t2 @t17 @t125 @t111 @t67) (=> @t2318 (=> @t5854 (= (tptp.hAPP @t5846 @t5756) @t5847))))) % 54.38/54.69 (assume @p4519 (forall @t5859 (= @t5858 (tptp.hAPP @t5289 @t5857)))) % 54.38/54.69 (assume @p4520 (forall @t478 (= (tptp.c_List_Otranspose @t10 @t5785) @t5785))) % 54.38/54.69 (assume @p4521 (forall @t3595 (= (tptp.hAPP @t5846 @t5358) @t5358))) % 54.38/54.69 (assume @p4522 (forall @t5855 (and (=> @t2433 (= @t5860 (tptp.hAPP @t5152 @t5847))) (=> @t5854 (= @t5860 @t5847))))) % 54.38/54.69 (assume @p4523 (forall @t5862 (= (tptp.hAPP @t5846 @t5522) (tptp.hAPP (tptp.hAPP @t5493 @t5847) @t5861)))) % 54.38/54.69 (assume @p4524 (forall @t5848 (= (= @t5847 @t5358) (forall @t7 (=> @t5341 @t4556))))) % 54.38/54.69 (assume @p4525 (forall @t5859 (= (tptp.hAPP @t5081 @t5858) (tptp.hAPP @t5329 @t5857)))) % 54.38/54.69 (assume @p4526 (forall @t5848 (= (tptp.c_List_Oremdups @t17 @t5847) (tptp.hAPP @t5846 @t5802)))) % 54.38/54.69 (assume @p4527 (forall (@list @t5863 @t10) (= (tptp.c_List_Otranspose @t10 (tptp.hAPP @t5787 @t5863)) (tptp.c_List_Otranspose @t10 @t5863)))) % 54.38/54.69 (assume @p4528 (forall @t5443 (=> @t5871 (= @t5869 (tptp.hAPP @t5866 @t5865))))) % 54.38/54.69 (assume @p4529 (forall @t5297 (= (tptp.c_List_Otranspose @t17 @t5819) (tptp.hAPP @t5818 (tptp.c_List_Otranspose @t67 @t5096))))) % 54.38/54.69 (assume @p4530 (forall @t5848 (= @t5849 (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t2481 (tptp.hAPP @t3429 @t5276))) @t111))))) % 54.38/54.69 (assume @p4531 (forall (@list @t111 @t5096 @t125 @t17) (=> @t5284 (=> @t5854 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t5850) @t5097)))))) % 54.38/54.69 (assume @p4532 (forall @t5872 (= (tptp.hAPP @t5644 @t3518) (tptp.hAPP @t5269 (tptp.hAPP (tptp.c_List_Ofilter @t17 (tptp.hAPP @t4560 (tptp.hAPP @t2492 @t176))) @t5096))))) % 54.38/54.69 (assume @p4533 (forall @t5432 (=> @t5645 (= (tptp.hAPP (tptp.c_List_Ofilter @t17 (tptp.hAPP @t3429 (tptp.hAPP @t5269 @t5873))) @t5096) @t5873)))) % 54.38/54.69 (assume @p4534 (forall @t5251 (= (= @t5867 @t5833) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5815 @t5822)) @t5814))))) % 54.38/54.69 (assume @p4535 (forall @t5845 (= (tptp.hAPP @t5081 (tptp.hAPP @t5844 @t5096)) (tptp.hAPP @t2902 (tptp.hAPP @t4531 (tptp.hAPP @t5124 (tptp.hAPP (tptp.hAPP @t5349 @t1882) @t5228))))))) % 54.38/54.69 (assume @p4536 (forall @t5813 (= @t5835 (tptp.hAPP (tptp.hAPP @t5790 @t5651) @t5842)))) % 54.38/54.69 (assume @p4537 (forall @t5839 (=> (tptp.hBOOL (tptp.hAPP @t5874 @t5837)) @t5838))) % 54.38/54.69 (assume @p4538 (forall @t5813 (=> (tptp.hBOOL (tptp.hAPP @t5874 @t5875)) (= (tptp.c_List_Otranspose @t17 @t5875) (tptp.c_List_Otranspose @t17 @t5809))))) % 54.38/54.69 (assume @p4539 (forall (@list @t5876 @t5096 @t111 @t17) (= (tptp.hAPP @t5882 (tptp.hAPP (tptp.c_List_Ofilter @t5880 (tptp.hAPP @t5881 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5880) tptp.c_Nat_OSuc) @t5879))) (tptp.hAPP @t5878 @t5876))) (tptp.hAPP @t5882 (tptp.hAPP (tptp.c_List_Ofilter @t5880 (tptp.hAPP @t5881 @t5879)) (tptp.hAPP @t5878 (tptp.hAPP @t5877 @t5876))))))) % 54.38/54.69 (assume @p4540 (forall @t5251 (= (tptp.c_Random_Opick @t17 @t5883) @t5442))) % 54.38/54.69 (assume @p4541 (forall @t5251 (= (tptp.c_Random_Oselect__weight @t17 @t5883) @t5169))) % 54.38/54.69 (assume @p4542 (forall @t45 (=> (tptp.hBOOL (tptp.hAPP @t5874 @t5833)) (= (tptp.c_List_Otranspose @t17 @t5833) @t5833)))) % 54.38/54.69 (assume @p4543 (forall @t5251 (= (tptp.c_List_Ofoldr @t4743 tptp.tc_Nat_Onat @t5884 @t5867 @t56) (tptp.hAPP @t5826 (tptp.hAPP @t5841 @t5096))))) % 54.38/54.69 (assume @p4544 (forall (@list @t5809 @t67 @t5096 @t17) (= (tptp.hAPP (tptp.hAPP @t2337 @t5755) (tptp.c_List_Ofoldr @t5279 tptp.tc_Nat_Onat (tptp.hAPP @t5886 @t5329) @t5809 @t56)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2337 @t5097) (tptp.c_List_Ofoldr @t5279 tptp.tc_Nat_Onat (tptp.hAPP @t5886 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5279 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t5885 @t740) @t5329)) @t221)) (tptp.hAPP (tptp.c_List_Ofilter @t5279 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5279) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5279 @t5279 tptp.tc_HOL_Obool) tptp.c_fequal) @t5365))) @t5809) @t56)))))) % 54.38/54.69 (assume @p4545 (forall (@list @t36 @t2 @t17 @t67) (= (tptp.c_List_Ofoldr @t67 @t17 @t2 @t5365 @t36) @t36))) % 54.38/54.69 (assume @p4546 (forall (@list @t36 @t5096 @t125 @t2 @t17 @t67) (= (tptp.c_List_Ofoldr @t67 @t17 @t2 @t5322 @t36) (tptp.hAPP @t127 @t5887)))) % 54.38/54.69 (assume @p4547 (forall (@list @t36 @t5093 @t5096 @t2 @t17 @t67) (= (tptp.c_List_Ofoldr @t67 @t17 @t2 @t5552 @t36) (tptp.c_List_Ofoldr @t67 @t17 @t2 @t5096 (tptp.c_List_Ofoldr @t67 @t17 @t2 @t5093 @t36))))) % 54.38/54.69 (assume @p4548 (forall (@list @t36 @t5096 @t17) (=> (tptp.class_Groups_Oab__semigroup__add @t17) (= (tptp.c_List_Ofoldr @t17 @t17 @t836 @t5096 @t36) @t5888)))) % 54.38/54.69 (assume @p4549 (forall (@list @t36 @t5096 @t2 @t1945 @t1 @t17 @t67) (= (tptp.c_List_Ofoldr @t67 @t17 @t1 @t5674 @t36) (tptp.c_List_Ofoldr @t1945 @t17 (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t2005 @t1945 @t1) @t2) @t5096 @t36)))) % 54.38/54.69 (assume @p4550 (forall @t5251 (=> @t5436 (= (tptp.hAPP @t5676 @t5096) @t5889)))) % 54.38/54.69 (assume @p4551 (forall @t5890 (=> @t5436 (= @t5888 (tptp.hAPP @t837 @t5889))))) % 54.38/54.69 (assume @p4552 (forall @t5251 (= @t5870 (tptp.c_List_Ofoldr @t4743 tptp.tc_Nat_Onat @t5884 @t5096 @t56)))) % 54.38/54.69 (assume @p4553 (forall @t5347 (= (tptp.c_List_Osublist @t17 @t5096 @t226) (tptp.hAPP @t5882 (tptp.hAPP @t5895 @t5892))))) % 54.38/54.69 (assume @p4554 (forall (@list @t31 @t5096 @t226 @t17) (= (tptp.hAPP @t5882 (tptp.hAPP @t5895 (tptp.hAPP @t5878 (tptp.c_List_Oupt @t31 (tptp.hAPP @t761 @t5097))))) (tptp.hAPP @t5882 (tptp.hAPP (tptp.c_List_Ofilter @t5880 (tptp.hAPP (tptp.hAPP @t5894 (tptp.hAPP @t5893 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5880 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1919 @t5880) @t760) @t5879)) @t31))) @t226)) @t5892))))) % 54.38/54.69 (assume @p4555 (forall @t1079 (= (tptp.hAPP @t5463 @t5896) @t966))) % 54.38/54.69 (assume @p4556 (forall @t2873 (= @t2871 @t5898))) % 54.38/54.69 (assume @p4557 (forall @t2873 (= @t5898 @t2871))) % 54.38/54.69 (assume @p4558 (forall @t1079 @t5904)) % 54.38/54.69 (assume @p4559 (forall @t1079 (and @t5904 (=> (not @t303) (= @t5903 @t5899))))) % 54.38/54.69 (assume @p4560 (forall @t247 (=> @t303 (= (tptp.c_List_Oupt @t240 @t859) (tptp.hAPP @t5902 (tptp.c_List_Oupt @t242 @t859)))))) % 54.38/54.69 (assume @p4561 (forall @t1079 (and @t5906 (=> (not @t246) @t5905)))) % 54.38/54.69 (assume @p4562 (forall @t1079 @t5906)) % 54.38/54.69 (assume @p4563 (forall @t1037 (= (tptp.c_List_Oupt @t240 @t56) @t5899))) % 54.38/54.69 (assume @p4564 (forall @t1078 (=> @t962 @t5905))) % 54.38/54.69 (assume @p4565 (forall @t2873 (= (= @t5897 @t5899) (or (= @t759 @t56) @t957)))) % 54.38/54.69 (assume @p4566 (forall (@list @t242 @t240 @t58) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t58) @t5896) (tptp.c_List_Oupt @t1158 @t242)))) % 54.38/54.69 (assume @p4567 (forall @t1079 (=> @t246 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t5896) @t240)))) % 54.38/54.69 (assume @p4568 (forall @t474 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t1158) @t9)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t58) (tptp.c_List_Oupt @t240 @t9)) (tptp.c_List_Oupt @t240 @t1158))))) % 54.38/54.69 (assume @p4569 (forall @t93 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t2741) @t5907))) % 54.38/54.69 (assume @p4570 (forall @t1079 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t5896)))) % 54.38/54.69 (assume @p4571 (forall @t65 (and (=> @t5911 (= @t5910 (tptp.hAPP (tptp.hAPP @t5900 @t5909) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t5909) @t5908)))) (=> (not @t5911) (= @t5910 @t5899))))) % 54.38/54.69 (assume @p4572 (forall (@list @t5096 @t125 @t759 @t31) (= (= @t5897 (tptp.hAPP (tptp.hAPP @t5900 @t125) @t5096)) (and (tptp.hBOOL (tptp.hAPP @t765 @t759)) (= @t31 @t125) (= (tptp.c_List_Oupt (tptp.hAPP @t761 @t663) @t759) @t5096))))) % 54.38/54.69 (assume @p4573 (forall @t1079 (=> @t246 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t5896) (tptp.hAPP @t912 @t663))))) % 54.38/54.69 (assume @p4574 (forall @t93 (= (tptp.hAPP @t5877 @t5907) (tptp.c_List_Oupt @t208 @t34)))) % 54.38/54.69 (assume @p4575 (forall @t216 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t33 @t86) (tptp.hAPP @t5454 (tptp.c_List_Oupt @t33 @t208))))) % 54.38/54.69 (assume @p4576 (forall @t85 (= @t2658 (tptp.hAPP @t5454 @t5912)))) % 54.38/54.69 (assume @p4577 (forall (@list @t242 @t239 @t240) (=> (tptp.hBOOL (tptp.hAPP @t1072 @t242)) (= (tptp.hAPP (tptp.hAPP @t5460 @t5896) @t239) @t911)))) % 54.38/54.69 (assume @p4578 (forall @t216 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t33 @t86) (tptp.hAPP @t5454 (tptp.c_List_Oupt @t34 @t208))))) % 54.38/54.69 (assume @p4579 (forall @t216 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t33 @t86) (tptp.hAPP @t5454 (tptp.c_List_Oupt @t34 @t86))))) % 54.38/54.69 (assume @p4580 (forall @t85 (= @t2901 (tptp.hAPP @t5454 (tptp.c_List_Oupt @t56 @t34))))) % 54.38/54.69 (assume @p4581 (forall @t5251 (= (tptp.hAPP (tptp.hAPP @t5913 @t5228) @t5891) @t5096))) % 54.38/54.69 (assume @p4582 (forall @t2744 (=> @t2678 (= @t5916 @t5915)))) % 54.38/54.69 (assume @p4583 (forall @t2744 (=> @t2678 (= @t5915 @t5916)))) % 54.38/54.69 (assume @p4584 (forall (@list @t2 @t17 @t86 @t33 @t31) (=> (tptp.hBOOL (tptp.hAPP @t765 @t1153)) (= (tptp.hAPP (tptp.hAPP @t5226 @t5914) @t31) (tptp.hAPP @t2 (tptp.hAPP @t1051 @t31)))))) % 54.38/54.69 (assume @p4585 (forall (@list @t33 @t17 @t5096) (=> (=> @t5918 @t83) (=> (forall @t1268 (=> (tptp.hBOOL (tptp.hAPP @t1616 @t5827)) (= (tptp.hAPP @t5081 (tptp.hAPP @t5917 @t1264)) @t33))) (= @t5867 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t4743) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t5462 @t4743) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5350 (tptp.tc_fun @t5462 @t4743) tptp.tc_Nat_Onat) @t5913) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t17) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4743 @t5350 tptp.tc_Nat_Onat) @t5226) @t5917)))) (tptp.c_List_Oupt @t56 @t5827))) @t5912)))))) % 54.38/54.69 (assume @p4586 (forall (@list @t2 @t5096 @t36 @t17 @t67) (=> @t2318 (=> @t5406 (=> @t5920 (=> (= (tptp.hAPP @t5631 (tptp.hAPP (tptp.c_List_Ofilter @t17 (tptp.hAPP (tptp.hAPP @t4138 (tptp.hAPP tptp.c_fequal @t2181)) @t2)) @t5096)) @t36) (= (tptp.hAPP @t5757 @t5919) @t5096))))))) % 54.38/54.69 (assume @p4587 (forall @t478 (=> @t120 (tptp.c_List_Olinorder__class_Osorted @t10 @t5379)))) % 54.38/54.69 (assume @p4588 (forall @t78 (=> @t120 (tptp.c_List_Olinorder__class_Osorted @t10 @t5395)))) % 54.38/54.69 (assume @p4589 (forall @t1079 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t5896))) % 54.38/54.69 (assume @p4590 (forall @t5251 (=> @t190 (tptp.c_List_Olinorder__class_Osorted @t17 @t5824)))) % 54.38/54.69 (assume @p4591 (forall @t5332 (=> @t190 (=> @t5921 (tptp.c_List_Olinorder__class_Osorted @t17 @t5769))))) % 54.38/54.69 (assume @p4592 (forall @t5390 (=> @t120 (=> @t5922 (tptp.c_List_Olinorder__class_Osorted @t10 @t5641))))) % 54.38/54.69 (assume @p4593 (forall @t1079 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t5484))) % 54.38/54.69 (assume @p4594 (forall @t5258 (=> @t120 (=> @t5922 (tptp.c_List_Olinorder__class_Osorted @t10 @t5256))))) % 54.38/54.69 (assume @p4595 (forall @t5258 (=> @t120 (=> @t5922 (tptp.c_List_Olinorder__class_Osorted @t10 @t5601))))) % 54.38/54.69 (assume @p4596 (forall (@list @t149 @t5086 @t10) (=> @t120 (=> @t5922 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.c_List_Oremove1 @t10 @t149 @t5086)))))) % 54.38/54.69 (assume @p4597 (forall @t5172 (=> @t190 (= (tptp.c_List_Olinorder__class_Osorted @t17 @t5760) @t5921)))) % 54.38/54.69 (assume @p4598 (forall @t5728 (=> @t120 (=> @t124 (=> (tptp.c_List_Olinorder__class_Osorted @t10 @t5923) (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5136 @t5923))))))) % 54.38/54.69 (assume @p4599 (forall @t5675 (=> @t190 (= (tptp.c_List_Olinorder__class_Osorted @t17 (tptp.hAPP @t5152 @t5924)) (and @t179 (tptp.c_List_Olinorder__class_Osorted @t17 @t5924)))))) % 54.38/54.69 (assume @p4600 (forall @t5390 (=> @t120 (=> @t5629 (=> @t5922 (tptp.c_List_Olinorder__class_Osorted @t10 @t5712)))))) % 54.38/54.69 (assume @p4601 (forall (@list @t308 @t10) (=> @t120 (=> (tptp.c_List_Olinorder__class_Osorted @t10 @t308) (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.c_List_Oremdups @t10 @t308)))))) % 54.38/54.69 (assume @p4602 (forall @t5523 (=> @t190 (=> @t5921 (=> @t5645 (=> @t5926 (=> @t5662 @t5925))))))) % 54.38/54.69 (assume @p4603 (forall @t5297 (=> @t190 (tptp.c_List_Olinorder__class_Osorted @t17 (tptp.hAPP @t5289 (tptp.c_List_Olinorder__class_Osort__key @t67 @t17 @t2 @t5096)))))) % 54.38/54.69 (assume @p4604 (forall @t5928 (=> @t190 (= (tptp.c_List_Olinorder__class_Osorted @t17 (tptp.hAPP @t5289 @t5763)) @t5927)))) % 54.38/54.69 (assume @p4605 (forall @t5929 (=> @t190 (=> @t5927 (tptp.c_List_Olinorder__class_Osorted @t17 (tptp.hAPP @t5289 (tptp.c_List_Oremove1 @t67 @t125 @t5096))))))) % 54.38/54.69 (assume @p4606 (forall @t5929 (=> @t190 (=> @t5927 (tptp.c_List_Olinorder__class_Osorted @t17 (tptp.hAPP @t5289 @t5766)))))) % 54.38/54.69 (assume @p4607 (forall (@list @t111 @t5096 @t2 @t67 @t17) (=> @t190 (=> @t5927 (tptp.c_List_Olinorder__class_Osorted @t17 (tptp.hAPP @t5289 @t5931)))))) % 54.38/54.69 (assume @p4608 (forall @t5439 (=> @t190 (tptp.c_List_Olinorder__class_Osorted @t17 (tptp.hAPP @t5289 (tptp.hAPP (tptp.c_List_Ofilter @t67 (tptp.hAPP (tptp.hAPP @t4625 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t17 @t231 @t67) tptp.c_fequal) @t2)) @t5932)) @t5096)))))) % 54.38/54.69 (assume @p4609 (forall (@list @t5096 @t1 @t17) (=> @t190 (tptp.c_List_Olinorder__class_Osorted @t17 (tptp.hAPP (tptp.c_List_Ofilter @t17 (tptp.hAPP @t2492 @t5932)) @t5096))))) % 54.38/54.69 (assume @p4610 (forall @t5172 (=> @t190 (= @t5934 (and @t5921 @t5933))))) % 54.38/54.69 (assume @p4611 (forall @t5523 (=> @t190 (= (tptp.c_List_Olinorder__class_Osorted @t17 @t5522) (and @t5921 @t5926 (forall @t7 (=> @t5341 (forall @t2793 (=> (tptp.hBOOL (tptp.hAPP @t3093 @t5302)) @t3586))))))))) % 54.38/54.69 (assume @p4612 (forall (@list @t125 @t111 @t5096 @t2 @t67 @t17) (=> @t190 (=> @t5927 (=> @t2433 (= (tptp.hAPP @t5930 @t5763) (tptp.hAPP @t5753 @t5931))))))) % 54.38/54.69 (assume @p4613 (forall (@list @t2105 @t3574 @t17) (=> @t190 (= (tptp.c_List_Olinorder__class_Osorted @t17 (tptp.hAPP @t5216 @t2105)) (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2421 (tptp.hAPP @t5269 @t2105))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t3574) @t3)))) (tptp.c_List_Olinorder__class_Osorted @t17 @t2105)))))) % 54.38/54.69 (assume @p4614 (forall @t558 (=> @t190 (=> @t3172 (and (= (tptp.hAPP @t5269 @t5732) @t226) (tptp.c_List_Olinorder__class_Osorted @t17 @t5732) (tptp.hBOOL (tptp.hAPP @t5643 @t5732))))))) % 54.38/54.69 (assume @p4615 (forall @t5890 (=> @t190 (=> @t5406 (=> @t5921 (= (tptp.hAPP (tptp.hAPP @t5744 @t36) @t5919) @t5096)))))) % 54.38/54.69 (assume @p4616 (forall @t5251 (=> @t190 (= @t5921 (forall @t219 (=> @t5660 (forall @t1268 (=> @t5935 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t5239) @t5659)))))))))) % 54.38/54.69 (assume @p4617 (forall @t5937 (=> @t120 (=> @t5922 (=> @t303 (=> @t5936 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t5259) @t5528)))))))) % 54.38/54.69 (assume @p4618 (forall @t5309 (=> @t2318 (=> @t5304 (=> @t5920 (=> (tptp.hBOOL (tptp.hAPP @t5661 @t5300)) (=> (tptp.c_List_Olinorder__class_Osorted @t67 @t5299) (=> (tptp.hBOOL (tptp.hAPP @t5661 @t5299)) @t5925)))))))) % 54.38/54.69 (assume @p4619 (forall @t5943 (=> @t5942 (=> @t5940 (= (tptp.hAPP @t5866 @t5939) @t5938))))) % 54.38/54.69 (assume @p4620 (forall @t5658 (=> @t5942 (=> @t5871 (=> (tptp.hBOOL (tptp.hAPP @t5657 (tptp.hAPP @t5826 @t5865))) (= (tptp.hAPP (tptp.hAPP @t5226 @t5869) @t759) (tptp.hAPP (tptp.hAPP @t5226 (tptp.hAPP @t5917 @t759)) @t31))))))) % 54.38/54.69 (assume @p4621 (forall @t558 (tptp.c_Fun_Oinj__on @t4743 @t4743 @t5944 @t226))) % 54.38/54.69 (assume @p4622 (forall @t5251 (= (tptp.hBOOL (tptp.hAPP @t5643 @t5945)) @t5645))) % 54.38/54.69 (assume @p4623 (forall @t478 (= (tptp.hAPP @t5946 @t5379) @t5379))) % 54.38/54.69 (assume @p4624 (forall @t5251 (= (= @t5358 @t5945) @t5359))) % 54.38/54.69 (assume @p4625 (forall @t5251 (= (= @t5945 @t5358) @t5359))) % 54.38/54.69 (assume @p4626 (forall @t5172 (= (= @t5413 @t5945) @t5947))) % 54.38/54.69 (assume @p4627 (forall @t5332 (= (= @t5945 @t5413) @t5947))) % 54.38/54.69 (assume @p4628 (forall @t5092 (= (tptp.hAPP @t5946 @t5508) (tptp.hAPP (tptp.hAPP @t5506 (tptp.hAPP @t5946 @t5085)) @t5948)))) % 54.38/54.69 (assume @p4629 (forall @t5251 (= (tptp.hAPP @t5944 @t5823) (tptp.c_List_Oconcat @t17 (tptp.hAPP (tptp.hAPP @t5790 @t5944) (tptp.hAPP (tptp.c_List_Orev @t4743) @t5096)))))) % 54.38/54.69 (assume @p4630 (forall @t5297 (= @t5951 (tptp.hAPP @t5289 @t5950)))) % 54.38/54.69 (assume @p4631 (forall @t5848 (= (tptp.hAPP @t5944 @t5847) (tptp.hAPP @t5846 @t5945)))) % 54.38/54.69 (assume @p4632 (forall @t5653 (=> (= @t5091 @t5380) (= (tptp.hAPP (tptp.hAPP @t5381 @t5948) (tptp.hAPP @t5944 @t5085)) (tptp.hAPP (tptp.c_List_Orev @t5384) @t5383))))) % 54.38/54.69 (assume @p4633 (forall @t5251 (= (tptp.hAPP @t5269 @t5945) @t5276))) % 54.38/54.69 (assume @p4634 (forall @t5774 (= (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5945 @t5093) (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5096 @t5952)))) % 54.38/54.69 (assume @p4635 (forall @t5774 (= (tptp.c_List_Olist__all2 @t17 @t67 @t111 @t5945 @t5952) @t5773))) % 54.38/54.69 (assume @p4636 (forall @t5523 (= (= @t5945 @t5953) @t5198))) % 54.38/54.69 (assume @p4637 (forall @t5523 (= (= @t5945 @t5093) (= @t5096 @t5953)))) % 54.38/54.69 (assume @p4638 (forall @t5390 (= (tptp.hAPP @t5946 @t5948) @t5086))) % 54.38/54.69 (assume @p4639 (forall @t5390 (=> @t998 (= (tptp.hAPP @t5433 @t5948) @t5434)))) % 54.38/54.69 (assume @p4640 (forall @t5390 (= (tptp.hAPP @t5089 @t5948) @t5091))) % 54.38/54.69 (assume @p4641 (forall (@list @t36 @t5096 @t2 @t17 @t67) (= @t5887 (tptp.hAPP (tptp.c_List_Ofoldl @t17 @t67 (tptp.hAPP @t2698 @t2) @t36) @t5950)))) % 54.38/54.69 (assume @p4642 (forall (@list @t5096 @t36 @t2 @t67 @t17) (= @t5678 (tptp.c_List_Ofoldr @t67 @t17 (tptp.hAPP (tptp.c_COMBC @t17 @t67 @t17) @t2) @t5950 @t36)))) % 54.38/54.69 (assume @p4643 (forall (@list @t5093 @t176 @t5096 @t17) (= (= @t5945 @t5151) (= @t5096 (tptp.hAPP (tptp.hAPP @t5493 @t5953) @t5502))))) % 54.38/54.69 (assume @p4644 (forall @t5141 (= (tptp.hAPP @t5946 @t5139) (tptp.hAPP (tptp.hAPP @t5506 @t5948) @t5395)))) % 54.38/54.69 (assume @p4645 (forall @t5638 (=> @t5629 (= (tptp.c_List_Olast @t10 @t5948) @t5634)))) % 54.38/54.69 (assume @p4646 (forall @t5638 (=> @t5629 (= (tptp.hAPP @t5625 @t5948) @t5688)))) % 54.38/54.69 (assume @p4647 (forall @t5251 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5941 (tptp.hAPP @t5821 @t5867))))) % 54.38/54.69 (assume @p4648 (forall @t5251 (= @t5945 (tptp.hAPP (tptp.c_List_Ofoldl @t4743 @t17 @t5423 @t5358) @t5096)))) % 54.38/54.69 (assume @p4649 (forall @t5955 (= (tptp.hAPP @t5946 @t5618) (tptp.hAPP (tptp.hAPP @t5254 @t5954) @t5948)))) % 54.38/54.69 (assume @p4650 (forall @t5955 (= (tptp.hAPP @t5946 @t5584) (tptp.hAPP (tptp.hAPP @t5593 @t5954) @t5948)))) % 54.38/54.69 (assume @p4651 (forall @t5262 (= (tptp.hAPP @t5670 @t5948) (tptp.hAPP @t5946 (tptp.hAPP (tptp.c_List_Orotate @t10 (tptp.hAPP @t5604 @t5669)) @t5086))))) % 54.38/54.69 (assume @p4652 (forall @t5627 (=> @t5539 (= (tptp.hAPP (tptp.hAPP @t5235 @t5948) @t9) (tptp.hAPP @t5236 (tptp.hAPP @t5604 @t12)))))) % 54.38/54.69 (assume @p4653 (forall (@list @t27 @t5086 @t10 @t239) (=> (tptp.hBOOL (tptp.hAPP @t1069 @t5091)) (= (tptp.hAPP @t5946 (tptp.hAPP @t5689 @t27)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5948) (tptp.hAPP (tptp.hAPP @t740 (tptp.hAPP @t5604 @t239)) @t663)) @t27))))) % 54.38/54.69 (assume @p4654 (forall @t5937 (=> @t120 (=> (tptp.c_List_Olinorder__class_Osorted @t10 @t5948) (=> @t303 (=> @t5936 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t5528) @t5259)))))))) % 54.38/54.69 (assume @p4655 (forall @t5872 (=> @t190 (=> (tptp.c_List_Olinorder__class_Osorted @t17 @t5945) (and (=> @t5359 (= @t5956 @t176)) (=> @t5360 (= @t5956 (tptp.hAPP (tptp.hAPP @t2357 (tptp.hAPP @t5228 @t56)) @t176)))))))) % 54.38/54.69 (assume @p4656 (forall @t5251 (=> @t5942 (and (=> @t5918 (= @t5870 @t56)) (=> (not @t5918) (= @t5870 (tptp.hAPP @t5081 (tptp.hAPP @t5917 @t56)))))))) % 54.38/54.69 (assume @p4657 (forall @t5943 (=> @t5942 (=> @t5940 (= (tptp.hAPP @t5826 @t5939) (tptp.hAPP @t5081 @t5938)))))) % 54.38/54.69 (assume @p4658 (forall @t5251 (=> @t5942 (= (tptp.c_List_Otranspose @t17 @t5867) (tptp.c_List_OtakeWhile @t4743 @t5840 @t5096))))) % 54.38/54.69 (assume @p4659 (= @t5899 (tptp.c_List_Oreturn__list @t5469))) % 54.38/54.69 (assume @p4660 (forall @t5343 (=> @t190 (=> @t5921 (tptp.c_List_Olinorder__class_Osorted @t17 @t5957))))) % 54.38/54.69 (assume @p4661 (forall @t5848 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t5958) @t5097)))) % 54.38/54.69 (assume @p4662 (forall (@list @t5096 @t111 @t125 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP @t5269 @t5957))) (and @t5284 @t2433)))) % 54.38/54.69 (assume @p4663 (forall @t5848 (= (= @t5957 @t5096) @t5342))) % 54.38/54.69 (assume @p4664 (forall (@list @t5093 @t111 @t5096 @t67 @t17) (= (tptp.hAPP @t5373 (tptp.c_List_OtakeWhile @t67 @t111 @t5093)) (tptp.c_List_OtakeWhile @t2172 (tptp.hAPP (tptp.c_Fun_Ocomp @t67 tptp.tc_HOL_Obool @t2172 @t111) @t2225) @t5374)))) % 54.38/54.69 (assume @p4665 (forall @t5774 (= (tptp.hAPP (tptp.hAPP @t5372 @t5957) @t5093) (tptp.c_List_OtakeWhile @t2172 (tptp.hAPP (tptp.c_Fun_Ocomp @t17 tptp.tc_HOL_Obool @t2172 @t111) @t2226) @t5374)))) % 54.38/54.69 (assume @p4666 (forall @t5859 (= (tptp.c_List_OtakeWhile @t17 @t111 @t5290) (tptp.hAPP @t5289 (tptp.c_List_OtakeWhile @t67 @t5856 @t5096))))) % 54.38/54.69 (assume @p4667 (forall (@list @t1045 @t5096 @t17 @t125 @t111) (=> @t5854 (= (tptp.c_List_OtakeWhile @t17 @t111 (tptp.hAPP @t5504 @t5494)) @t5957)))) % 54.38/54.69 (assume @p4668 (forall @t5855 (and (=> @t2433 (= @t5959 (tptp.hAPP @t5152 @t5957))) (=> @t5854 (= @t5959 @t5358))))) % 54.38/54.69 (assume @p4669 (forall @t3595 (= (tptp.c_List_OtakeWhile @t17 @t111 @t5358) @t5358))) % 54.38/54.69 (assume @p4670 (forall @t5848 (= @t5957 (tptp.hAPP (tptp.hAPP @t5252 @t5958) @t5096)))) % 54.38/54.69 (assume @p4671 (forall @t5343 (=> @t5645 (tptp.hBOOL (tptp.hAPP @t5643 @t5957))))) % 54.38/54.69 (assume @p4672 (forall @t1635 (= (tptp.c_List_Oreturn__list @t1045) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint tptp.tc_Nat_Onat) tptp.c_Int_Onat) @t1045)))) % 54.38/54.69 (assume @p4673 (forall @t5961 (=> @t5284 (=> @t5854 (= @t5960 @t5957))))) % 54.38/54.69 (assume @p4674 (forall @t5962 (=> (tptp.hBOOL (tptp.hAPP @t5657 @t5958)) (= (tptp.hAPP (tptp.hAPP @t5226 @t5957) @t759) @t5656)))) % 54.38/54.69 (assume @p4675 (forall @t5848 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t5958) @t5097)) (not (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t5228 @t5958))))))) % 54.38/54.69 (assume @p4676 (forall @t5361 (=> @t5360 (=> @t5645 (= (tptp.c_List_OtakeWhile @t17 (tptp.hAPP @t4560 (tptp.hAPP @t2492 @t5695)) @t5096) @t5715))))) % 54.38/54.69 (assume @p4677 (forall (@list @t2231 @t5096 @t2 @t67 @t17) (=> @t190 (=> (tptp.c_List_Olinorder__class_Osorted @t17 @t5951) (= (tptp.hAPP (tptp.c_List_Ofilter @t67 @t5963) @t5096) (tptp.c_List_OtakeWhile @t67 @t5963 @t5096)))))) % 54.38/54.69 (assume @p4678 (forall @t1634 (=> (tptp.c_List_Onat__list @t308) (= (tptp.c_List_Oembed__list (tptp.c_List_Oreturn__list @t308)) @t308)))) % 54.38/54.69 (assume @p4679 (forall (@list @t58 @t308) (= (tptp.hAPP (tptp.hAPP @t5901 @t308) @t58) (tptp.c_List_Oreturn__list (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Int_Oint) (tptp.c_List_Oembed__list @t308)) (tptp.c_List_Oembed__list @t58)))))) % 54.38/54.69 (assume @p4680 (forall @t1635 (= (tptp.c_List_Oembed__list @t1045) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Int_Oint) @t509) @t1045)))) % 54.38/54.69 (assume @p4681 (forall @t5332 (=> @t5645 (=> @t5284 (= (tptp.c_List_OtakeWhile @t17 @t5964 @t5945) (tptp.hAPP @t5944 (tptp.hAPP @t5651 (tptp.c_List_OdropWhile @t17 @t5964 @t5096)))))))) % 54.38/54.69 (assume @p4682 (forall @t5332 (=> @t5645 (=> @t5284 (= (tptp.c_List_OdropWhile @t17 @t5964 @t5945) (tptp.hAPP @t5152 (tptp.hAPP @t5944 (tptp.c_List_OtakeWhile @t17 @t5964 @t5096)))))))) % 54.38/54.69 (assume @p4683 (forall @t5848 (= (tptp.hAPP @t5966 @t5965) @t5096))) % 54.38/54.69 (assume @p4684 (forall @t5859 (= (tptp.c_List_OdropWhile @t17 @t111 @t5290) (tptp.hAPP @t5289 (tptp.c_List_OdropWhile @t67 @t5856 @t5096))))) % 54.38/54.69 (assume @p4685 (forall @t5343 (=> @t190 (=> @t5921 (tptp.c_List_Olinorder__class_Osorted @t17 @t5965))))) % 54.38/54.69 (assume @p4686 (forall @t5848 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t5967) @t5097)))) % 54.38/54.69 (assume @p4687 (forall @t5848 (= @t5968 @t5342))) % 54.38/54.69 (assume @p4688 (forall @t5855 (and (=> @t2433 (= @t5969 @t5965)) (=> @t5854 (= @t5969 @t5153))))) % 54.38/54.69 (assume @p4689 (forall @t3595 (= (tptp.c_List_OdropWhile @t17 @t111 @t5358) @t5358))) % 54.38/54.69 (assume @p4690 (forall @t5343 (=> @t5645 (tptp.hBOOL (tptp.hAPP @t5643 @t5965))))) % 54.38/54.69 (assume @p4691 (forall @t5848 (=> (not @t5968) (not (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP @t5631 @t5965))))))) % 54.38/54.69 (assume @p4692 (forall @t5961 (=> @t5284 (=> @t5854 (= @t5970 (tptp.hAPP (tptp.hAPP @t5493 @t5965) @t5093)))))) % 54.38/54.69 (assume @p4693 (forall (@list @t5093 @t176 @t5096 @t111 @t17) (= (= @t5965 @t5151) (and (= @t5096 (tptp.hAPP @t5966 @t5151)) (not @t4522))))) % 54.38/54.69 (assume @p4694 (forall @t5848 (= @t5965 (tptp.hAPP (tptp.hAPP @t5595 @t5958) @t5096)))) % 54.38/54.69 (assume @p4695 (forall @t5962 (=> (tptp.hBOOL (tptp.hAPP @t5657 @t5967)) (= (tptp.hAPP (tptp.hAPP @t5226 @t5965) @t759) (tptp.hAPP @t5228 (tptp.hAPP @t2875 @t5958)))))) % 54.38/54.69 (assume @p4696 (forall (@list @t2 @t111 @t5096 @t17 @t67) (=> @t5694 (=> (forall @t7 (=> @t5341 (=> @t4556 @t3748))) (= (tptp.hAPP @t5664 (tptp.hAPP @t5278 @t5847)) @t5665))))) % 54.38/54.69 (assume @p4697 (forall @t5390 (=> @t120 (=> (forall @t1404 (=> @t5935 (=> (tptp.hBOOL (tptp.hAPP @t218 @t5091)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t5711) (tptp.hAPP @t5236 @t217)))))) @t5922)))) % 54.38/54.69 (assume @p4698 (forall @t5848 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2421 (tptp.hAPP @t5269 @t5965))) @t4556)) (= @t5957 @t5847)))) % 54.38/54.69 (assume @p4699 (forall @t5972 (=> (forall @t1268 (=> @t1617 @t5339)) (=> (=> @t5335 (not @t5971)) (= @t5957 @t5281))))) % 54.38/54.69 (assume @p4700 (forall (@list @t5096 @t17 @t111 @t759) (=> (forall @t1268 (=> (tptp.hBOOL (tptp.hAPP @t1616 @t759)) @t5338)) (=> (tptp.hBOOL (tptp.hAPP @t916 @t5097)) (tptp.hBOOL (tptp.hAPP @t916 @t5958)))))) % 54.38/54.69 (assume @p4701 (forall @t744 (=> @t190 (= (tptp.c_List_Olinorder__class_Osorted @t17 @t36) (or @t5709 (exists (@list @t5211 @t3) (and (= @t36 @t5213) (forall @t2793 (=> (tptp.hBOOL (tptp.hAPP @t3093 (tptp.hAPP @t5269 @t5211))) @t3586)) (tptp.c_List_Olinorder__class_Osorted @t17 @t5211)))))))) % 54.38/54.69 (assume @p4702 (forall @t5928 (=> (tptp.c_Fun_Oinj__on @t17 @t67 @t2 @t5292) @t5975))) % 54.38/54.69 (assume @p4703 (forall @t5172 (= (tptp.hAPP @t5269 @t5974) @t5723))) % 54.38/54.69 (assume @p4704 (forall @t5517 (= (tptp.hAPP @t5976 @t5508) (tptp.hAPP (tptp.hAPP @t5506 @t5977) (tptp.hAPP @t5976 @t5085))))) % 54.38/54.69 (assume @p4705 (forall @t5172 (=> @t5327 (= @t5974 @t5096)))) % 54.38/54.69 (assume @p4706 (forall @t5855 (=> @t5854 (= (tptp.hAPP @t5973 @t5847) @t5847)))) % 54.38/54.69 (assume @p4707 (forall @t282 (= @t5973 (tptp.c_List_Ofilter @t17 (tptp.hAPP @t4560 @t2479))))) % 54.38/54.69 (assume @p4708 (forall @t5727 (and (=> @t29 (= @t5978 @t5977)) (=> @t100 (= @t5978 (tptp.hAPP @t5518 @t5977)))))) % 54.38/54.69 (assume @p4709 (forall @t78 (= (tptp.hAPP @t5976 @t5379) @t5379))) % 54.38/54.69 (assume @p4710 (forall @t5707 (=> @t5647 (tptp.hBOOL (tptp.hAPP @t5646 @t5977))))) % 54.38/54.69 (assume @p4711 (forall @t5707 (=> @t5647 (= @t5725 @t5977)))) % 54.38/54.69 (assume @p4712 (forall @t5928 (=> @t4293 @t5975))) % 54.38/54.69 (assume @p4713 (forall @t5172 @t5980)) % 54.38/54.69 (assume @p4714 (forall @t5172 (and @t5981 @t5980))) % 54.38/54.69 (assume @p4715 (forall @t5707 (=> @t5647 (tptp.hBOOL (tptp.hAPP @t5646 @t5982))))) % 54.38/54.69 (assume @p4716 (forall @t5141 (= (tptp.c_List_Oinsert @t10 @t28 @t5803) (tptp.c_List_Oremdups @t10 @t5982)))) % 54.38/54.69 (assume @p4717 (forall @t5172 @t5981)) % 54.38/54.69 (assume @p4718 (forall @t5172 (= (tptp.hAPP @t5269 @t5979) @t5292))) % 54.38/54.69 (assume @p4719 (forall @t78 (= (tptp.c_List_Oinsert @t10 @t28 @t5379) @t5395))) % 54.38/54.69 (assume @p4720 (forall @t5367 (= @t5984 @t5983))) % 54.38/54.69 (assume @p4721 (forall @t5297 (= @t5983 @t5984))) % 54.38/54.69 (assume @p4722 (forall @t72 (= (tptp.c_List_Omaps @t67 @t17 @t2 @t5365) @t5358))) % 54.38/54.69 (assume @p4723 (forall @t5323 (= (tptp.c_List_Omaps @t67 @t17 @t2 @t5322) (tptp.hAPP (tptp.hAPP @t5493 @t127) @t5984)))) % 54.38/54.69 (assume @p4724 (forall @t5251 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4743) @t5096)) (=> (forall @t5990 (=> @t5989 (tptp.hBOOL (tptp.hAPP @t5643 @t5218)))) (=> (forall @t5990 (=> @t5989 (forall @t5988 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5157 @t5985) @t5822)) (=> (not (= @t5218 @t5985)) (= (tptp.hAPP (tptp.hAPP @t4006 @t5987) @t5986) @t3254)))))) (tptp.hBOOL (tptp.hAPP @t5643 @t5823))))))) % 54.38/54.69 (assume @p4725 (forall @t5996 (=> @t3581 (=> @t5995 @t5993)))) % 54.38/54.69 (assume @p4726 (forall @t5997 (tptp.c_Wellfounded_Owf @t17 @t5994))) % 54.38/54.69 (assume @p4727 (forall @t191 (not (tptp.hBOOL (tptp.hAPP @t3558 (tptp.c_List_Omeasures @t17 (tptp.c_List_Olist_ONil @t5992))))))) % 54.38/54.69 (assume @p4728 (forall @t5997 (= @t5994 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5462 @t17) (tptp.c_List_Olex tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t5998 @t5462) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5992 tptp.tc_Nat_Onat) (tptp.tc_fun @t5998 @t5462) @t17) (tptp.c_List_Omap @t5992 tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBC @t5992 @t17 tptp.tc_Nat_Onat) (tptp.c_COMBI @t5992)))) @t5991))))) % 54.38/54.69 (assume @p4729 (forall @t5996 (=> @t3554 @t5993))) % 54.38/54.69 (assume @p4730 (forall (@list @t5991 @t2 @t176 @t125 @t17) (= @t5993 (or @t3554 (and @t201 @t5995))))) % 54.38/54.69 (assume @p4731 (forall (@list @t2232 @t1 @t53 @t2 @t67 @t1945 @t5096 @t17) (=> (forall @t7 (=> @t5341 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t1945 @t1945 @t67 @t5) @t53) (tptp.hAPP (tptp.c_Fun_Ocomp @t67 @t1945 @t67 @t53) @t4)))) (= (tptp.hAPP (tptp.c_List_Ofoldl @t1945 @t17 (tptp.hAPP (tptp.c_COMBC @t17 @t1945 @t1945) @t2) (tptp.hAPP @t53 @t2232)) @t5096) (tptp.hAPP @t53 (tptp.hAPP (tptp.c_List_Ofoldl @t67 @t17 (tptp.hAPP @t3494 @t1) @t2232) @t5096)))))) % 54.38/54.69 (assume @p4732 (forall @t205 (=> @t6002 (= @t312 (and @t132 (tptp.hBOOL (tptp.hAPP @t6000 (tptp.hAPP @t4560 (tptp.hAPP (tptp.hAPP @t5999 @t4137) @t1))))))))) % 54.38/54.69 (assume @p4733 (forall @t3595 (=> @t6001 (= @t6003 @t688)))) % 54.38/54.69 (assume @p4734 (forall @t3595 (=> @t6001 (= @t688 @t6003)))) % 54.38/54.69 (assume @p4735 (forall @t4708 (=> @t6004 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t2172) @t111)) (tptp.hBOOL (tptp.hAPP @t6000 (tptp.hAPP (tptp.hAPP @t4584 (tptp.c_Enum_Oenum__class_Oenum__ex @t67)) @t2488))))))) % 54.38/54.69 (assume @p4736 (forall (@list @t111 @t5093 @t67 @t5096 @t17) (=> (=> (= (tptp.hAPP @t5081 @t6006) (tptp.hAPP @t5329 @t6005)) (tptp.hBOOL (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t5372 @t6006) @t6005)))) (tptp.hBOOL (tptp.hAPP @t111 @t5374))))) % 54.38/54.69 (assume @p4737 (forall (@list @t863 @t17) (=> @t6010 (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4743 @t863) (tptp.c_Lazy__Sequence_Oappend @t4743 (tptp.hAPP @t6007 @t5358) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t6008) @t1395) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t5134 @t4743 (tptp.c_Lazy__Sequence_Oproduct @t17 @t4743 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t17 @t6009) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4743 @t6009))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t17 @t4743 @t6008) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5159 (tptp.tc_fun @t4743 @t6008) @t17) (tptp.hAPP (tptp.c_COMBB @t4743 @t6008 @t4743) @t6007)) @t5132)))) (tptp.c_Lazy__Sequence_Oempty @t4743))))))) % 54.38/54.69 (assume @p4738 (forall (@list @t407 @t17 @t10) (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t10) @t6010) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t5384 @t407) (tptp.c_Lazy__Sequence_Oproduct @t10 @t17 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t10 @t407) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t17 @t407)))))) % 54.38/54.69 (assume @p4739 (forall (@list @t31 @t6011 @t2496 @t17) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__union @t17 @t2496 @t6011) @t31) (tptp.c_Lazy__Sequence_Oappend @t17 (tptp.hAPP @t2496 @t31) (tptp.hAPP @t6011 @t31))))) % 54.38/54.69 (assume @p4740 (forall @t6012 (=> @t5342 (= @t5970 (tptp.c_List_OdropWhile @t17 @t111 @t5093))))) % 54.38/54.69 (assume @p4741 (forall (@list @t2503 @t2472 @t2473 @t2087 @t2086 @t17) (= (tptp.c_New__Random__Sequence_Opos__union @t17 @t2086 @t2087 @t2473 @t2472 @t2503) (tptp.c_New__DSequence_Opos__union @t17 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2086 @t2473) @t2472) @t2503) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2087 @t2473) @t2472) @t2503))))) % 54.38/54.69 (assume @p4742 (forall (@list @t240 @t407) (and (=> @t6015 (= @t6014 @t6016)) (=> (not @t6015) (= @t6014 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t6013 @t240) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t407 @t5488))))))) % 54.38/54.69 (assume @p4743 (forall (@list @t407) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy tptp.tc_Int_Oint @t407) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t407 (tptp.hAPP @t729 @t407))))) % 54.38/54.69 (assume @p4744 (forall (@list @t31 @t863) (=> (tptp.hBOOL (tptp.hAPP @t6019 (tptp.hAPP (tptp.hAPP @t1913 @t863) @t31))) (and (=> @t6018 (= @t6017 @t6016)) (=> (not @t6018) (= @t6017 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t6013 @t31) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t863 @t3331)))))))) % 54.38/54.69 (assume @p4745 (forall (@list @t111 @t346 @t67 @t36 @t17) (=> @t5797 (=> (forall @t22 (=> (tptp.hBOOL (tptp.hAPP @t5231 @t5796)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t5226 @t36) @t16)) (tptp.hAPP (tptp.hAPP @t5334 @t346) @t16))))) @t5775)))) % 54.38/54.69 (assume @p4746 (forall @t2117 (=> (tptp.hBOOL (tptp.hAPP @t6019 @t2116)) (=> (forall (@list @t940 @t1264) (=> (tptp.hBOOL (tptp.hAPP @t6019 (tptp.hAPP (tptp.hAPP @t1913 @t940) @t1264))) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t512 @t940) @t1264))) (tptp.hBOOL (tptp.hAPP @t941 @t2947))) (tptp.hBOOL (tptp.hAPP @t941 @t1264))))) @t2107)))) % 54.38/54.69 (assume @p4747 (forall @t558 (=> @t190 (=> @t3172 (exists @t7 (and (= (tptp.hAPP @t5269 @t3) @t226) (tptp.c_List_Olinorder__class_Osorted @t17 @t3) (tptp.hBOOL (tptp.hAPP @t5643 @t3)) (forall @t4157 (=> (and (= (tptp.hAPP @t5269 @t283) @t226) (tptp.c_List_Olinorder__class_Osorted @t17 @t283) (tptp.hBOOL (tptp.hAPP @t5643 @t283))) @t4306)))))))) % 54.38/54.69 (assume @p4748 (forall @t6012 (=> @t5342 (= @t5960 (tptp.hAPP @t5504 (tptp.c_List_OtakeWhile @t17 @t111 @t5093)))))) % 54.38/54.69 (assume @p4749 (forall (@list @t36 @t2 @t5096 @t17 @t67) (=> @t2318 (=> (forall @t7 (=> @t5341 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t2181) @t5)))) (= @t5758 (tptp.hAPP @t5144 @t5096)))))) % 54.38/54.69 (assume @p4750 (forall @t5961 (= (= @t5153 @t5861) @t6020))) % 54.38/54.69 (assume @p4751 (forall (@list @t5096 @t125 @t5093 @t111 @t17) (= (= @t5861 @t5153) @t6020))) % 54.38/54.69 (assume @p4752 (forall @t205 (=> @t6002 (= @t132 (tptp.hBOOL (tptp.hAPP @t6021 (tptp.hAPP (tptp.hAPP @t5999 (tptp.hAPP (tptp.hAPP @t4136 @t128) @t2)) @t1))))))) % 54.38/54.69 (assume @p4753 (forall @t5972 (=> @t5335 (=> @t5342 @t5971)))) % 54.38/54.69 (assume @p4754 (forall @t3595 (=> @t6001 (= @t6022 @t687)))) % 54.38/54.69 (assume @p4755 (forall @t3595 (=> @t6001 (= @t687 @t6022)))) % 54.38/54.69 (assume @p4756 (forall @t4708 (=> @t6004 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t2172) @t111)) (tptp.hBOOL (tptp.hAPP @t6021 (tptp.hAPP (tptp.hAPP @t4584 (tptp.c_Enum_Oenum__class_Oenum__all @t67)) @t2488))))))) % 54.38/54.69 (assume @p4757 (forall @t5332 (=> @t190 (=> @t5933 (=> @t5921 @t5934))))) % 54.38/54.69 (assume @p4758 (forall @t5848 (= @t6024 (exists @t22 (and @t5232 @t6023))))) % 54.38/54.69 (assume @p4759 (forall @t3595 (not (tptp.c_List_Olist__ex @t17 @t111 @t5358)))) % 54.38/54.69 (assume @p4760 (forall @t5848 (= (tptp.c_List_Olist__ex @t17 @t111 @t5945) @t6024))) % 54.38/54.69 (assume @p4761 (forall @t5848 (= @t6024 @t6025))) % 54.38/54.69 (assume @p4762 (forall @t5862 (= (tptp.c_List_Olist__ex @t17 @t111 @t5522) (or @t6024 (tptp.c_List_Olist__ex @t17 @t111 @t5093))))) % 54.38/54.69 (assume @p4763 (forall @t5743 (= (tptp.c_List_Olist__ex @t17 @t111 @t5153) (or @t2433 @t6024)))) % 54.38/54.69 (assume @p4764 (forall @t5172 (= @t5284 (exists @t5990 (and (exists @t5988 @t6026) (not (tptp.hBOOL (tptp.hAPP @t3349 @t5987)))))))) % 54.38/54.69 (assume @p4765 (forall @t5172 (= @t5284 (exists @t6027 (and @t6026 (not (tptp.hBOOL (tptp.hAPP @t3349 @t5986)))))))) % 54.38/54.69 (assume @p4766 (forall @t5172 (= @t5284 (exists @t6027 @t6026)))) % 54.38/54.69 (assume @p4767 (forall @t5848 (= @t6028 (forall @t22 (=> @t5232 @t6023))))) % 54.38/54.69 (assume @p4768 (forall @t3595 (tptp.c_List_Olist__all @t17 @t111 @t5358))) % 54.38/54.69 (assume @p4769 (forall @t5848 (= (tptp.c_List_Olist__all @t17 @t111 @t5945) @t6028))) % 54.38/54.69 (assume @p4770 (forall @t5848 (= @t6028 @t5342))) % 54.38/54.69 (assume @p4771 (forall @t5862 (= (tptp.c_List_Olist__all @t17 @t111 @t5522) (and @t6028 (tptp.c_List_Olist__all @t17 @t111 @t5093))))) % 54.38/54.69 (assume @p4772 (forall @t5343 (= @t5342 @t6028))) % 54.38/54.69 (assume @p4773 (forall @t5743 (= (tptp.c_List_Olist__all @t17 @t111 @t5153) (and @t2433 @t6028)))) % 54.38/54.69 (assume @p4774 (forall @t5743 (= (tptp.c_List_Olist__ex1 @t17 @t111 @t5153) (and (=> @t2433 (tptp.c_List_Olist__all @t17 (tptp.hAPP (tptp.hAPP @t4233 (tptp.hAPP @t4554 @t4566)) @t2479) @t5096)) (=> @t5854 @t6029))))) % 54.38/54.69 (assume @p4775 (forall @t5092 (= (tptp.hAPP @t5089 @t6030) @t5536))) % 54.38/54.69 (assume @p4776 (forall (@list @t5085 @t27 @t5086 @t28 @t10) (= (tptp.c_List_Osplice @t10 @t5139 @t5520) (tptp.hAPP @t5136 (tptp.hAPP @t5518 @t6030))))) % 54.38/54.69 (assume @p4777 (forall @t5390 (= (tptp.c_List_Osplice @t10 @t5086 @t5379) @t5086))) % 54.38/54.69 (assume @p4778 (forall @t3595 (not (tptp.c_List_Olist__ex1 @t17 @t111 @t5358)))) % 54.38/54.69 (assume @p4779 (forall @t5545 (= (tptp.c_List_Osplice @t10 @t5379 @t5085) @t5085))) % 54.38/54.69 (assume @p4780 (forall @t5848 (= @t6029 (exists @t7 (and @t5341 @t583 (forall @t4157 (=> (and (tptp.hBOOL (tptp.hAPP @t4155 @t5276)) @t4627) @t4306))))))) % 54.38/54.69 (assume @p4781 (forall (@list @t6031 @t731 @t10) (= (tptp.c_List_Osplice @t10 @t6032 @t5379) @t6032))) % 54.38/54.69 (assume @p4782 (forall @t1756 (= (tptp.c_Wellfounded_Oacyclic @t17 (tptp.hAPP @t4634 (tptp.hAPP @t3982 (tptp.c_Predicate_Oconversep @t17 @t17 @t1753)))) @t4767))) % 54.38/54.69 (assume @p4783 (forall @t6034 (=> @t102 (= (tptp.hAPP @t5640 @t6033) (tptp.c_List_Oreplicate @t10 @t1173 @t28))))) % 54.38/54.69 (assume @p4784 (forall (@list @t176 @t33 @t125 @t17) (= (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP @t5269 @t6035))) (and @t177 @t84)))) % 54.38/54.69 (assume @p4785 (forall (@list @t33 @t17 @t125 @t111) (and (=> @t2433 (= @t6037 @t6036)) (=> @t5854 (= @t6037 @t5358))))) % 54.38/54.69 (assume @p4786 (forall (@list @t240 @t10) (= (tptp.c_List_Oconcat @t10 (tptp.c_List_Oreplicate @t5088 @t240 @t5379)) @t5379))) % 54.38/54.69 (assume @p4787 (forall @t6038 (= (= @t6036 @t5358) @t83))) % 54.38/54.69 (assume @p4788 (forall @t6038 (= (= @t5358 @t6036) @t83))) % 54.38/54.69 (assume @p4789 (forall @t78 (= (tptp.c_List_Oreplicate @t10 @t56 @t28) @t5379))) % 54.38/54.69 (assume @p4790 (forall (@list @t6039 @t359 @t17 @t67) (= (tptp.hAPP (tptp.hAPP @t5288 (tptp.hAPP @t2246 @t359)) @t6039) (tptp.c_List_Oreplicate @t17 (tptp.hAPP @t5329 @t6039) @t359)))) % 54.38/54.69 (assume @p4791 (forall (@list @t125 @t33 @t2 @t17 @t67) (= (tptp.hAPP @t5289 (tptp.c_List_Oreplicate @t67 @t33 @t125)) (tptp.c_List_Oreplicate @t17 @t33 @t127)))) % 54.38/54.69 (assume @p4792 (forall @t2623 (= (tptp.hAPP @t5946 @t6033) @t6033))) % 54.38/54.69 (assume @p4793 (forall @t6034 (=> @t102 (= (tptp.c_List_Olast @t10 @t6033) @t28)))) % 54.38/54.69 (assume @p4794 (forall @t6042 (= (tptp.hAPP @t5583 @t6041) (tptp.c_List_Oreplicate @t10 (tptp.hAPP @t6040 @t239) @t28)))) % 54.38/54.69 (assume @p4795 (forall @t6034 (=> @t102 (= (tptp.hAPP @t5625 @t6033) @t28)))) % 54.38/54.69 (assume @p4796 (forall @t6042 (= (tptp.hAPP @t5617 @t6041) (tptp.c_List_Oreplicate @t10 (tptp.hAPP (tptp.hAPP @t740 @t239) @t240) @t28)))) % 54.38/54.69 (assume @p4797 (forall @t5172 (= (tptp.c_List_Oreplicate @t17 (tptp.hAPP @t5081 @t6043) @t125) @t6043))) % 54.38/54.69 (assume @p4798 (forall (@list @t27 @t242 @t28 @t240 @t17 @t10) (= (tptp.hAPP (tptp.hAPP @t5381 @t6044) (tptp.c_List_Oreplicate @t17 @t242 @t27)) (tptp.c_List_Oreplicate @t5384 (tptp.hAPP @t6040 @t242) @t2236)))) % 54.38/54.69 (assume @p4799 (forall @t6046 (= (forall @t7 (=> @t6045 @t583)) (or @t4545 @t83)))) % 54.38/54.69 (assume @p4800 (forall @t6046 (= (exists @t7 (and @t6045 @t583)) (and @t4545 @t84)))) % 54.38/54.69 (assume @p4801 (forall @t4913 (= (tptp.c_Predicate_Oconversep @t67 @t17 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3079) @t1753) @t2232)) (tptp.hAPP (tptp.hAPP @t3451 @t6048) @t6047)))) % 54.38/54.69 (assume @p4802 (forall @t6052 (=> @t6051 @t6049))) % 54.38/54.69 (assume @p4803 (forall @t4745 (=> @t2085 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6050 @t346) @t36))))) % 54.38/54.69 (assume @p4804 (forall (@list @t2105 @t3574 @t1753 @t67 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6050 @t3574) @t2105)) @t5215))) % 54.38/54.69 (assume @p4805 (forall @t6052 (= @t6051 @t6049))) % 54.38/54.69 (assume @p4806 (forall @t4729 (= (tptp.c_Predicate_Oconversep @t67 @t17 @t6050) @t1753))) % 54.38/54.69 (assume @p4807 (forall @t45 (= (tptp.c_Predicate_Oconversep @t17 @t17 tptp.c_fequal) tptp.c_fequal))) % 54.38/54.69 (assume @p4808 (forall @t191 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t17 @t17 (tptp.hAPP (tptp.hAPP @t3962 @t4560) tptp.c_fequal)) @t125) @t176)) @t203))) % 54.38/54.69 (assume @p4809 (forall (@list @t176 @t33 @t125 @t86 @t17) (= (= (tptp.c_List_Oreplicate @t17 @t86 @t125) @t6035) (and @t91 (=> (not @t220) @t177))))) % 54.38/54.69 (assume @p4810 (forall @t4910 (= (tptp.c_Predicate_Oconversep @t67 @t17 (tptp.c_Predicate_Opred__comp @t67 @t1945 @t17 @t1753 @t2232)) (tptp.c_Predicate_Opred__comp @t17 @t1945 @t67 (tptp.c_Predicate_Oconversep @t1945 @t17 @t2232) (tptp.c_Predicate_Oconversep @t67 @t1945 @t1753))))) % 54.38/54.69 (assume @p4811 (forall @t4913 (= (tptp.c_Predicate_Oconversep @t67 @t17 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3079) @t1753) @t2232)) (tptp.hAPP (tptp.hAPP @t4165 @t6048) @t6047)))) % 54.38/54.69 (assume @p4812 (forall @t2623 (= (tptp.hAPP @t5089 @t6033) @t9))) % 54.38/54.69 (assume @p4813 (forall (@list @t28 @t10 @t9 @t240) (=> @t5260 (= (tptp.hAPP (tptp.hAPP @t5235 @t6033) @t240) @t28)))) % 54.38/54.69 (assume @p4814 (forall (@list @t28 @t58 @t9 @t10) (= (tptp.c_List_Oreplicate @t10 @t860 @t28) (tptp.hAPP @t6053 (tptp.c_List_Oreplicate @t10 @t58 @t28))))) % 54.38/54.69 (assume @p4815 (forall (@list @t239 @t28 @t9 @t10) (= (tptp.hAPP @t6053 @t6041) (tptp.hAPP (tptp.hAPP @t5506 @t6041) @t6033)))) % 54.38/54.69 (assume @p4816 (forall @t5264 (= (tptp.hAPP @t6053 @t5139) (tptp.hAPP @t5136 (tptp.hAPP @t6053 @t5086))))) % 54.38/54.69 (assume @p4817 (forall @t2623 (= (tptp.c_List_Oreplicate @t10 @t12 @t28) (tptp.hAPP @t5136 @t6033)))) % 54.38/54.69 (assume @p4818 (forall (@list @t28 @t240 @t10) (= (tptp.hAPP (tptp.hAPP @t5506 @t6044) @t5395) (tptp.hAPP @t5136 @t6044)))) % 54.38/54.69 (assume @p4819 (forall (@list @t176 @t125 @t1753 @t67 @t17) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t17 @t67 @t4703) @t125) @t176)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3943 @t2263) @t4917))))) % 54.38/54.69 (assume @p4820 (forall (@list @t31 @t125 @t17) (= (tptp.hAPP (tptp.hAPP @t5913 (tptp.hAPP (tptp.c_COMBK @t17 tptp.tc_Nat_Onat) @t125)) (tptp.c_List_Oupt @t56 @t31)) (tptp.c_List_Oreplicate @t17 @t31 @t125)))) % 54.38/54.69 (assume @p4821 (forall @t6056 (and (=> @t83 (= @t6054 @t3254)) @t6055))) % 54.38/54.69 (assume @p4822 (forall @t6056 @t6055)) % 54.38/54.69 (assume @p4823 (forall @t6038 (= (tptp.hAPP @t5269 (tptp.c_List_Oreplicate @t17 @t34 @t125)) @t3255))) % 54.38/54.69 (assume @p4824 (forall @t4344 (= (tptp.c_Predicate_Opred__comp @t17 @t17 @t17 tptp.c_fequal (tptp.c_Predicate_Opred__comp @t17 @t17 @t17 @t2186 tptp.c_fequal)) @t2186))) % 54.38/54.69 (assume @p4825 (forall (@list @t6057 @t149 @t10) (= (tptp.hAPP @t6058 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t149 @t6057)) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t6058 @t6057)) @t221)))) % 54.38/54.69 (assume @p4826 (forall (@list @t6059 @t6060 @t28 @t10) (= (tptp.c_Lazy__Sequence_Oappend @t10 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t28 @t6060) @t6059) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t28 (tptp.c_Lazy__Sequence_Oappend @t10 @t6060 @t6059))))) % 54.38/54.69 (assume @p4827 (forall (@list @t6061 @t2196 @t6062 @t36 @t17) (= (= @t6063 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t17 @t2196 @t6061)) (and @t2197 (= @t6062 @t6061))))) % 54.38/54.69 (assume @p4828 (forall (@list @t6062 @t36 @t2456 @t17) (= (tptp.hAPP @t6064 @t6063) (tptp.hAPP (tptp.hAPP @t760 (tptp.hAPP @t2457 (tptp.hAPP @t6064 @t6062))) @t221)))) % 54.38/54.69 (assume @p4829 (forall (@list @t2496 @t17) (= (tptp.hAPP @t6067 @t2496) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t6072 @t56 (tptp.hAPP @t6071 (tptp.hAPP (tptp.c_COMBK @t6070 @t17) (tptp.hAPP (tptp.hAPP @t6069 (tptp.hAPP @t6068 @t6067)) @t663))) @t6066)))) % 54.38/54.69 (assume @p4830 (forall (@list @t2496 @t2232 @t17) (= (tptp.hAPP @t6073 @t2496) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t6072 @t56 (tptp.hAPP @t6071 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 tptp.tc_Nat_Onat @t6070) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6074 (tptp.tc_fun tptp.tc_Nat_Onat @t6070) @t17) @t6069) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6070 @t6074 @t17) @t6068) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t17 @t6070 @t6070) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1919 (tptp.tc_fun @t6070 @t6070) @t17) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2465)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1919 @t17) @t760) @t2232))) @t6073)))) @t663)) @t6066)))) % 54.38/54.69 (assume @p4831 (forall (@list @t2496 @t1 @t2 @t67 @t17) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t17 @t67 @t2 @t1 @t2496) (tptp.c_Option_Ooption_Ooption__case @t17 (tptp.tc_prod @t67 @t6075) @t2 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t67 @t6075 @t17) @t1) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield @t67) @t2496))))) % 54.38/54.69 (assume @p4832 (forall @t45 (= (tptp.c_Lazy__Sequence_Oyieldn @t17) (tptp.c_Lazy__Sequence_Oanamorph @t2465 @t17 @t6065)))) % 54.38/54.69 (assume @p4833 (forall (@list @t6062 @t36 @t40 @t42 @t67 @t17) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t17 @t67 @t42 @t40 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t67 @t36 @t6062)) (tptp.hAPP @t5466 @t6062)))) % 54.38/54.69 (assume @p4834 (forall (@list @t1753 @t226 @t67 @t2909 @t17) (=> (forall @t7 (=> @t3587 (tptp.c_Relation_Orefl__on @t67 @t1935 @t2082))) (tptp.c_Relation_Orefl__on @t67 (tptp.hAPP (tptp.hAPP @t2424 @t2909) @t226) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t17 @t3844) @t2909) @t1753))))) % 54.38/54.69 (assume @p4835 (forall @t5172 (= @t5284 @t6078))) % 54.38/54.69 (assume @p4836 (forall (@list @t27 @t10) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember @t10) @t5379) @t27))))) % 54.38/54.69 (assume @p4837 (forall @t45 (= @t6076 @t5269))) % 54.38/54.69 (assume @p4838 (forall @t5729 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6076 @t5153) @t176)) (or @t177 (tptp.hBOOL (tptp.hAPP @t6077 @t176)))))) % 54.38/54.69 (assume @p4839 (forall @t5332 (= @t6078 @t5284))) % 54.38/54.69 (assume @p4840 (forall @t4850 (=> @t2861 (=> (tptp.hBOOL (tptp.hAPP @t3904 @t2909)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4181 @t2909)) @t5008)) (=> (forall (@list @t6080) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t6080) @t2909)) (forall (@list @t6079) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t6079) @t2909)) (=> (not (= @t6080 @t6079)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2421 @t6080)) (=> (tptp.hBOOL (tptp.hAPP @t2421 @t6079)) @t3748)))))))) (= (tptp.hAPP @t2860 @t5063) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t231 @t67) @t2860) @t2909)))))))) % 54.38/54.69 (assume @p4841 (forall (@list @t863 @t17 @t111) (and (=> @t6082 (= @t6081 @t5793)) (=> (not @t6082) (= @t6081 @t863))))) % 54.38/54.69 (assume @p4842 (forall (@list @t1945 @t67 @t55 @t346 @t230 @t226 @t17) (=> @t3538 @t3374))) % 54.38/54.69 (assume @p4843 (forall @t3537 (=> @t3377 (not (forall @t7 (=> @t2422 (not @t3536))))))) % 54.38/54.69 (assume @p4844 (forall @t5009 (=> (tptp.hBOOL (tptp.hAPP @t5234 @t1942)) (exists @t22 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5815 @t1942)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t5081 @t3)) @t16)))))))) % 54.38/54.69 (assume @p4845 (forall @t478 (= (tptp.hAPP @t6058 @t6083) @t56))) % 54.38/54.69 (assume @p4846 (forall @t5378 (= (tptp.hAPP @t6064 (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t17)) @t56))) % 54.38/54.69 (assume @p4847 (forall @t5468 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t17 @t67 @t42 @t40 (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t67)) @t42))) % 54.38/54.69 (assume @p4848 (forall @t6086 (not (= @t6083 @t6085)))) % 54.38/54.69 (assume @p4849 (forall @t6086 (not (= @t6085 @t6083)))) % 54.38/54.69 (assume @p4850 (forall (@list @t6059 @t10) (= (tptp.c_Lazy__Sequence_Oappend @t10 @t6083 @t6059) @t6059))) % 54.38/54.69 (assume @p4851 (forall @t6088 (= (tptp.c_List_Olist__all tptp.tc_Int_Oint @t111 @t5470) @t6087))) % 54.38/54.69 (assume @p4852 (forall @t6088 (= (tptp.c_List_Olist__ex tptp.tc_Int_Oint @t111 @t5470) (not (tptp.c_List_Oall__interval__int (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint tptp.c_fNot) @t111) @t31 @t759))))) % 54.38/54.69 (assume @p4853 (forall @t6088 (= @t6087 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2801 @t3332)) @t583))))) % 54.38/54.69 (assume @p4854 (forall (@list @t226 @t111 @t17 @t67) (= (tptp.hAPP (tptp.c_Relation_OImage @t67 @t17 @t4706) @t226) (tptp.hAPP @t4541 (tptp.hAPP @t4656 (tptp.hAPP (tptp.hAPP @t3305 @t6089) @t4705)))))) % 54.38/54.69 (assume @p4855 (forall @t4901 (=> @t5176 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5203 @t522)) @t5173)) (=> @t6090 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5100 (tptp.hAPP @t5174 @t522)) @t5173))))))) % 54.38/54.69 (assume @p4856 (tptp.c_Relation_Otrans tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 54.38/54.69 (assume @p4857 (forall (@list @t2087 @t67 @t2086 @t17) (=> (tptp.c_Relation_Otrans @t17 @t2086) (=> (tptp.c_Relation_Otrans @t67 @t2087) (tptp.c_Relation_Otrans @t2172 (tptp.c_Wellfounded_Olex__prod @t17 @t67 @t2086 @t2087)))))) % 54.38/54.69 (assume @p4858 (forall @t5343 (= @t6025 @t6024))) % 54.38/54.69 (assume @p4859 (forall @t3284 (= @t3094 (tptp.c_Complete__Lattice_OSup__class_OSup @t231 @t6091)))) % 54.38/54.69 (assume @p4860 (forall @t4712 (=> @t6090 (tptp.c_Relation_Otrans @t67 @t4710)))) % 54.38/54.69 (assume @p4861 (forall @t1756 (=> @t6090 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 (tptp.hAPP @t4880 @t1753)) @t1753))))) % 54.38/54.69 (assume @p4862 (forall @t3595 (= (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t2421 @t4275)) @t583)) @t688))) % 54.38/54.69 (assume @p4863 (forall (@list @t2260 @t67 @t226 @t17) (=> @t3172 (= (tptp.hBOOL (tptp.hAPP @t3204 (tptp.hAPP @t4563 (tptp.hAPP @t4624 (tptp.hAPP (tptp.hAPP @t3017 @t4234) @t2260))))) (forall @t7 (=> @t2422 (tptp.hBOOL (tptp.hAPP @t3204 (tptp.hAPP @t4563 (tptp.hAPP @t4626 @t3)))))))))) % 54.38/54.69 (assume @p4864 (forall @t1756 (=> @t6090 (tptp.c_Relation_Otrans @t4743 @t5201)))) % 54.38/54.69 (assume @p4865 (forall @t3595 (not (exists @t7 (and @t3268 @t583))))) % 54.38/54.69 (assume @p4866 (forall @t1756 (= (tptp.c_Relation_Otrans @t17 @t4907) @t6090))) % 54.38/54.69 (assume @p4867 (forall @t1756 (=> @t6090 (tptp.c_Relation_Otrans @t4743 @t5173)))) % 54.38/54.69 (assume @p4868 (forall @t45 (tptp.c_Relation_Otrans @t17 @t4875))) % 54.38/54.69 (assume @p4869 (forall @t1756 (tptp.c_Relation_Otrans @t17 @t4853))) % 54.38/54.69 (assume @p4870 (forall @t1756 (=> @t6090 (= @t4853 @t1753)))) % 54.38/54.69 (assume @p4871 (forall @t558 (tptp.c_Relation_Otrans @t17 @t3979))) % 54.38/54.69 (assume @p4872 (forall @t45 (tptp.c_Relation_Otrans @t231 @t3688))) % 54.38/54.69 (assume @p4873 (forall @t1756 (tptp.c_Relation_Otrans @t17 @t4870))) % 54.38/54.69 (assume @p4874 (forall (@list @t55 @t346 @t36 @t1753 @t17) (=> @t6090 (=> @t3971 (=> @t4868 (tptp.hBOOL (tptp.hAPP @t4862 @t1753))))))) % 54.38/54.69 (assume @p4875 (forall @t1756 (= @t6090 (forall @t287 (=> @t4153 (forall @t749 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t4849 @t748)) @t1753)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP @t3540 @t748)) @t1753))))))))) % 54.38/54.69 (assume @p4876 (forall @t3875 (=> @t6090 (=> (tptp.c_Relation_Otrans @t17 @t2232) (tptp.c_Relation_Otrans @t17 @t4186))))) % 54.38/54.69 (assume @p4877 (forall @t45 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t17 tptp.tc_HOL_Obool) (tptp.c_Set_OBex @t17)))) % 54.38/54.69 (assume @p4878 (forall @t1756 (=> @t6090 (tptp.c_Relation_Otrans @t17 @t4876)))) % 54.38/54.69 (assume @p4879 (forall @t558 (= @t5050 (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP @t5023 @t4623) (tptp.hAPP (tptp.hAPP @t5022 (tptp.hAPP @t4620 (tptp.hAPP @t4617 @t5021))) @t2420)))))) % 54.38/54.69 (assume @p4880 (forall @t3284 (= @t3119 (tptp.c_Complete__Lattice_OInf__class_OInf @t231 @t6091)))) % 54.38/54.69 (assume @p4881 (forall @t1245 (=> @t1933 (= (tptp.hAPP (tptp.c_Complete__Lattice_OSup__class_OSup @t1244 @t226) @t125) (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t6094))))) % 54.38/54.69 (assume @p4882 (forall @t1245 (=> @t1933 (= (tptp.hAPP (tptp.c_Complete__Lattice_OInf__class_OInf @t1244 @t226) @t125) (tptp.c_Complete__Lattice_OInf__class_OInf @t17 @t6094))))) % 54.38/54.69 (assume @p4883 (forall @t4395 (=> @t4394 (=> @t4393 (=> @t4392 (=> (forall @t7 (=> @t4391 (exists @t2793 (and @t4390 @t4382)))) (tptp.c_Wellfounded_Omax__extp @t17 @t2186 @t3067 @t3070))))))) % 54.38/54.69 (assume @p4884 (forall @t1756 (= @t6095 (tptp.c_Relation_Otrans @t17 @t4646)))) % 54.38/54.69 (assume @p4885 (forall @t4935 (=> @t6095 (=> @t5214 (=> (tptp.hBOOL (tptp.hAPP @t6096 @t522)) (tptp.hBOOL (tptp.hAPP @t4664 @t522))))))) % 54.38/54.69 (assume @p4886 (forall @t4344 (= @t4343 (and @t6099 @t6098 @t6097)))) % 54.38/54.69 (assume @p4887 (forall @t4344 (=> @t6099 (=> @t6098 (=> @t6097 @t4343))))) % 54.38/54.69 (assume @p4888 (forall @t4877 (=> @t6100 (=> @t5214 (tptp.hBOOL (tptp.hAPP @t6096 @t125)))))) % 54.38/54.69 (assume @p4889 (forall @t4344 (=> @t4343 (not (=> @t6099 @t6101))))) % 54.38/54.69 (assume @p4890 (forall @t1756 (=> @t6090 (=> @t6102 (tptp.c_Relation_Otrans @t17 @t4891))))) % 54.38/54.69 (assume @p4891 (forall @t3875 (=> @t3874 (=> (tptp.c_Relation_Oantisym @t17 @t2232) @t6102)))) % 54.38/54.69 (assume @p4892 (forall @t558 (tptp.c_Relation_Oantisym @t17 @t3979))) % 54.38/54.69 (assume @p4893 (forall @t45 (tptp.c_Relation_Oantisym @t17 @t4875))) % 54.38/54.69 (assume @p4894 (forall @t1756 (= (tptp.c_Relation_Oantisym @t17 @t4907) @t6102))) % 54.38/54.69 (assume @p4895 (forall @t45 (tptp.c_Relation_Oantisym @t17 @t3535))) % 54.38/54.69 (assume @p4896 (forall @t6104 (=> @t6102 (=> @t3971 (=> @t6103 @t865))))) % 54.38/54.69 (assume @p4897 (forall @t1756 (= @t6102 (forall @t287 (=> @t4153 (=> @t5073 @t4833)))))) % 54.38/54.69 (assume @p4898 (forall @t1756 (= (tptp.c_Relation_Oantisym @t17 @t4876) @t6102))) % 54.38/54.69 (assume @p4899 (forall @t1756 (=> @t4770 (tptp.c_Relation_Oantisym @t17 @t4870)))) % 54.38/54.69 (assume @p4900 (forall (@list @t125 @t226 @t6107 @t1945 @t17 @t67) (= (tptp.c_Partial__Function_Ofun__lub @t67 @t17 @t1945 @t6107 @t226 @t125) (tptp.hAPP @t6107 (tptp.hAPP @t4563 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6105 tptp.tc_HOL_Obool @t67) (tptp.c_HOL_OEx @t4305)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6105 @t6105 @t67) (tptp.hAPP (tptp.c_COMBS @t4305 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1991 @t4305) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4305 @t6105 tptp.tc_HOL_Obool) (tptp.c_member @t4305)) @t226)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t67 @t6106 @t6105) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2423 (tptp.tc_fun @t6106 @t6105) @t67) (tptp.c_COMBB @t67 tptp.tc_HOL_Obool @t4305)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4305 @t1945 @t67) (tptp.c_COMBI @t4305)) @t125))))))))) % 54.38/54.69 (assume @p4901 (forall @t1756 (=> @t6108 (=> @t6090 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3534 @t4923) @t1753)))))) % 54.38/54.69 (assume @p4902 (forall @t4712 (=> @t6108 (tptp.c_Relation_Osym @t67 @t4710)))) % 54.38/54.69 (assume @p4903 (forall @t1756 (tptp.c_Relation_Osym @t17 (tptp.hAPP @t4185 @t4907)))) % 54.38/54.69 (assume @p4904 (forall @t1756 (=> @t6108 (tptp.c_Relation_Osym @t4743 @t5201)))) % 54.38/54.69 (assume @p4905 (forall @t1756 (= (tptp.c_Relation_Osym @t17 @t4907) @t6108))) % 54.38/54.69 (assume @p4906 (forall @t1756 (= @t6108 (= @t4907 @t1753)))) % 54.38/54.69 (assume @p4907 (forall @t45 (tptp.c_Relation_Osym @t17 @t4875))) % 54.38/54.69 (assume @p4908 (forall @t3875 (=> @t6108 (=> @t6109 (tptp.c_Relation_Osym @t17 @t3878))))) % 54.38/54.69 (assume @p4909 (forall @t1756 (=> @t6108 (tptp.c_Relation_Osym @t17 @t4853)))) % 54.38/54.69 (assume @p4910 (forall @t558 (tptp.c_Relation_Osym @t17 @t3979))) % 54.38/54.69 (assume @p4911 (forall @t1756 (=> @t6108 (tptp.c_Relation_Osym @t17 @t4870)))) % 54.38/54.69 (assume @p4912 (forall @t6104 (=> @t6108 (=> @t3971 @t6103)))) % 54.38/54.69 (assume @p4913 (forall @t1756 (= @t6108 (forall @t287 (=> @t4153 @t5073))))) % 54.38/54.69 (assume @p4914 (forall @t1756 (tptp.c_Relation_Osym @t17 (tptp.hAPP @t3877 @t4907)))) % 54.38/54.69 (assume @p4915 (forall @t3875 (=> @t6108 (=> @t6109 (tptp.c_Relation_Osym @t17 @t4186))))) % 54.38/54.69 (assume @p4916 (forall @t3966 (=> @t3975 (not (=> @t4178 (=> @t6108 (not @t6090))))))) % 54.38/54.69 (assume @p4917 (forall @t3966 (=> @t4178 (=> @t6108 (=> @t6090 @t3975))))) % 54.38/54.69 (assume @p4918 (forall @t3966 (= @t3975 (and @t4178 @t6108 @t6090)))) % 54.38/54.69 (assume @p4919 (forall @t1756 (= @t6100 (tptp.c_Relation_Osym @t17 @t4646)))) % 54.38/54.69 (assume @p4920 (forall @t4344 (= @t6112 (and @t6111 @t6098 @t6097)))) % 54.38/54.69 (assume @p4921 (forall (@list @t17 @t2186) (=> @t6111 (=> @t6098 (=> @t6097 @t6112))))) % 54.38/54.69 (assume @p4922 (forall @t4344 (=> @t4343 @t6112))) % 54.38/54.69 (assume @p4923 (forall @t4344 (= @t6112 (and @t6111 (forall @t287 (= @t4342 (and @t6110 (tptp.hBOOL (tptp.hAPP @t4339 @t283)) @t4341))))))) % 54.38/54.69 (assume @p4924 (forall @t4348 (=> @t6112 @t4347))) % 54.38/54.69 (assume @p4925 (forall @t4350 (=> @t6112 @t4349))) % 54.38/54.69 (assume @p4926 (forall @t4344 (=> @t6112 (not (=> @t6111 @t6101))))) % 54.38/54.69 (assume @p4927 (forall @t4344 (=> @t6112 (exists @t944 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3901 @t940) (tptp.hAPP (tptp.hAPP @t4615 @t4601) (tptp.hAPP (tptp.hAPP @t4668 (tptp.hAPP @t4233 (tptp.hAPP @t2481 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t17 @t17 tptp.tc_HOL_Obool) @t2186) @t1961)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t231 @t2088 @t231) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2621 (tptp.tc_fun @t2088 @t231) @t231) @t3341) tptp.c_fequal)) @t2186))))))))) % 54.38/54.69 (assume @p4928 (forall @t3288 (=> @t4293 @t6113))) % 54.38/54.69 (assume @p4929 (forall @t3288 (= @t4293 @t6113))) % 54.38/54.69 (assume @p4930 (forall (@list @t4515 @t3932 @t226 @t2 @t17 @t67) (=> @t4518 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t4515) @t3932)) (= (tptp.hAPP @t2825 (tptp.hAPP (tptp.c_Set_Oimage @t17 @t67 @t6114) @t4515)) @t4515))))) % 54.38/54.69 (assume @p4931 (forall @t72 (= @t4311 (forall @t7 (= (tptp.hAPP @t2 (tptp.hAPP @t6115 @t3)) @t3))))) % 54.38/54.69 (assume @p4932 (forall (@list @t176 @t2 @t17 @t67) (=> @t4311 (= (tptp.hAPP @t2 (tptp.hAPP @t6115 @t176)) @t176)))) % 54.38/54.69 (assume @p4933 (forall @t3267 (=> @t4311 (= (tptp.hAPP @t2825 (tptp.hAPP (tptp.c_Set_Oimage @t17 @t67 @t6115) @t226)) @t226)))) % 54.38/54.69 (assume @p4934 (forall (@list @t226 @t2 @t67 @t176 @t17) (=> (tptp.hBOOL (tptp.hAPP @t3424 @t2826)) (= (tptp.hAPP @t2 (tptp.hAPP @t6114 @t176)) @t176)))) % 54.38/54.69 (assume @p4935 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p4936 (forall @t6120 (=> @t6119 (tptp.class_Lattices_Obounded__lattice @t6118)))) % 54.38/54.69 (assume @p4937 (forall @t6120 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6116) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6118)))) % 54.38/54.69 (assume @p4938 (forall @t6120 (=> @t6119 (tptp.class_Lattices_Obounded__lattice__top @t6118)))) % 54.38/54.69 (assume @p4939 (forall @t6120 (=> @t6119 (tptp.class_Lattices_Obounded__lattice__bot @t6118)))) % 54.38/54.69 (assume @p4940 (forall @t6120 (=> @t6121 (tptp.class_Lattices_Osemilattice__sup @t6118)))) % 54.38/54.69 (assume @p4941 (forall @t6120 (=> @t6121 (tptp.class_Lattices_Osemilattice__inf @t6118)))) % 54.38/54.69 (assume @p4942 (forall @t6120 (=> (tptp.class_Lattices_Odistrib__lattice @t6116) (tptp.class_Lattices_Odistrib__lattice @t6118)))) % 54.38/54.69 (assume @p4943 (forall @t6120 (=> (tptp.class_Lattices_Oboolean__algebra @t6116) (tptp.class_Lattices_Oboolean__algebra @t6118)))) % 54.38/54.69 (assume @p4944 (forall @t6120 (=> (tptp.class_Orderings_Opreorder @t6116) (tptp.class_Orderings_Opreorder @t6118)))) % 54.38/54.69 (assume @p4945 (forall @t6124 (=> @t6123 (tptp.class_Finite__Set_Ofinite @t6118)))) % 54.38/54.69 (assume @p4946 (forall @t6120 (=> @t6121 (tptp.class_Lattices_Olattice @t6118)))) % 54.38/54.69 (assume @p4947 (forall @t6120 (=> (tptp.class_Orderings_Oorder @t6116) (tptp.class_Orderings_Oorder @t6118)))) % 54.38/54.69 (assume @p4948 (forall @t6120 (=> (tptp.class_Orderings_Otop @t6116) (tptp.class_Orderings_Otop @t6118)))) % 54.38/54.69 (assume @p4949 (forall @t6120 (=> (tptp.class_Orderings_Oord @t6116) (tptp.class_Orderings_Oord @t6118)))) % 54.38/54.69 (assume @p4950 (forall @t6120 (=> (tptp.class_Orderings_Obot @t6116) (tptp.class_Orderings_Obot @t6118)))) % 54.38/54.69 (assume @p4951 (forall @t6120 (=> (tptp.class_Groups_Ouminus @t6116) (tptp.class_Groups_Ouminus @t6118)))) % 54.38/54.69 (assume @p4952 (forall @t6120 (=> (tptp.class_Groups_Ominus @t6116) (tptp.class_Groups_Ominus @t6118)))) % 54.38/54.69 (assume @p4953 (forall @t6124 (=> @t6126 (tptp.class_Enum_Oenum @t6118)))) % 54.38/54.69 (assume @p4954 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4955 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4956 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4957 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4958 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4959 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4960 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4961 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4962 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4963 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4964 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4965 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4966 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4967 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4968 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4969 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4970 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4971 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4972 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4973 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4974 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4975 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4976 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4977 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4978 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4979 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4980 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4981 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4982 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4983 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4984 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4985 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4986 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4987 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4988 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4989 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4990 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4991 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4992 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4993 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4994 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4995 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4996 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4997 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4998 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p4999 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5000 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5001 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5002 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5003 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5004 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5005 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5006 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5007 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5008 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5009 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5010 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5011 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5012 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5013 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5014 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5015 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5016 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5017 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5018 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5019 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5020 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5021 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5022 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5023 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5024 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5025 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 54.38/54.69 (assume @p5026 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5027 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5028 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5029 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5030 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5031 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5032 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5033 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5034 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5035 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5036 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5037 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5038 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5039 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5040 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5041 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5042 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5043 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5044 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5045 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5046 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5047 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5048 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5049 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5050 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5051 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5052 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5053 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5054 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5055 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5056 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5057 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5058 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5059 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5060 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5061 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5062 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5063 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5064 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5065 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5066 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5067 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5068 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5069 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5070 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5071 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5072 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5073 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5074 (tptp.class_Nat_Osize tptp.tc_Nat_Onat)) % 54.38/54.69 (assume @p5075 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5076 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5077 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5078 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5079 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5080 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5081 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5082 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5083 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5084 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5085 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5086 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5087 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5088 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5089 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5090 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5091 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5092 (tptp.class_Nat_Osize tptp.tc_HOL_Obool)) % 54.38/54.69 (assume @p5093 (forall @t6129 (=> @t6128 (tptp.class_Lazy__Sequence_Osmall__lazy @t6127)))) % 54.38/54.69 (assume @p5094 (forall @t6129 (tptp.class_Nat_Osize @t6127))) % 54.38/54.69 (assume @p5095 (forall @t6124 (=> @t6123 (tptp.class_Finite__Set_Ofinite @t6130)))) % 54.38/54.69 (assume @p5096 (forall @t6124 (=> @t6126 (tptp.class_Enum_Oenum @t6130)))) % 54.38/54.69 (assume @p5097 (forall @t6124 (tptp.class_Nat_Osize @t6130))) % 54.38/54.69 (assume @p5098 (forall @t6129 (=> @t6122 (tptp.class_Finite__Set_Ofinite @t6131)))) % 54.38/54.69 (assume @p5099 (forall @t6129 (=> @t6125 (tptp.class_Enum_Oenum @t6131)))) % 54.38/54.69 (assume @p5100 (forall @t6129 (tptp.class_Nat_Osize @t6131))) % 54.38/54.69 (assume @p5101 (forall @t6124 (tptp.class_Nat_Osize (tptp.tc_Nitpick_Opair__box @t6117 @t6116)))) % 54.38/54.69 (assume @p5102 (forall @t6124 (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t6117) @t6128) (tptp.class_Lazy__Sequence_Osmall__lazy @t6132)))) % 54.38/54.69 (assume @p5103 (forall @t6124 (=> @t6123 (tptp.class_Finite__Set_Ofinite @t6132)))) % 54.38/54.69 (assume @p5104 (forall @t6124 (=> @t6126 (tptp.class_Enum_Oenum @t6132)))) % 54.38/54.69 (assume @p5105 (forall @t6124 (tptp.class_Nat_Osize @t6132))) % 54.38/54.69 (assume @p5106 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Product__Type_Ounit)) % 54.38/54.69 (assume @p5107 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 54.38/54.69 (assume @p5108 (tptp.class_Enum_Oenum tptp.tc_Product__Type_Ounit)) % 54.38/54.69 (assume @p5109 (tptp.class_Nat_Osize tptp.tc_Product__Type_Ounit)) % 54.38/54.69 (assume @p5110 (tptp.class_Nat_Osize tptp.tc_Code__Evaluation_Oterm)) % 54.38/54.69 (assume @p5111 (forall @t6129 (tptp.class_Nat_Osize (tptp.tc_Hoare__Mirabelle_Otriple @t6116)))) % 54.38/54.69 (assume @p5112 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5113 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5114 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5115 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5116 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5117 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5118 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5119 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5120 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5121 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5122 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5123 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5124 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5125 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5126 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5127 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5128 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5129 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5130 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5131 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5132 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5133 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5134 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5135 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5136 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5137 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5138 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5139 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5140 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5141 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5142 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5143 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5144 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5145 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5146 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5147 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5148 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5149 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5150 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5151 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5152 (tptp.class_Rings_Odvd tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5153 (tptp.class_Nat_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 54.38/54.69 (assume @p5154 (forall @t6129 (tptp.class_Nat_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence @t6116)))) % 54.38/54.69 (assume @p5155 (forall (@list @t6133 @t10) (= (tptp.hAPP (tptp.c_COMBI @t10) @t6133) @t6133))) % 54.38/54.69 (assume @p5156 (forall (@list @t6134 @t6133 @t17 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t10 @t17) @t6133) @t6134) @t6133))) % 54.38/54.69 (assume @p5157 (forall (@list @t2186 @t2260 @t111 @t1945 @t17 @t67) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2836 @t111) @t2260) @t2186) (tptp.hAPP @t111 @t6135)))) % 54.38/54.69 (assume @p5158 (forall @t6137 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1946 @t111) @t2260) @t2186) (tptp.hAPP @t6136 @t2260)))) % 54.38/54.69 (assume @p5159 (forall @t6137 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t67 @t1945 @t17) @t111) @t2260) @t2186) (tptp.hAPP @t6136 @t6135)))) % 54.38/54.69 (assume @p5160 (forall @t575 (or (not @t6138) @t177))) % 54.38/54.69 (assume @p5161 (forall @t575 (or @t203 @t6138))) % 54.38/54.69 (assume @p5162 (not (tptp.hBOOL tptp.c_fFalse))) % 54.38/54.69 (assume @p5163 (tptp.hBOOL tptp.c_fTrue)) % 54.38/54.69 (assume @p5164 (forall @t585 (or (not @t6141) @t6140))) % 54.38/54.69 (assume @p5165 (forall @t585 (or (not @t6140) @t6141))) % 54.38/54.69 (assume @p5166 (forall @t6145 (or @t6140 @t6144 @t6142))) % 54.38/54.69 (assume @p5167 (forall @t6145 (or @t6146 @t6139))) % 54.38/54.69 (assume @p5168 (forall @t6145 (or @t6146 @t6143))) % 54.38/54.69 (assume @p5169 (forall @t6145 (or @t6140 @t6147))) % 54.38/54.69 (assume @p5170 (forall @t6148 (or @t6144 @t6147))) % 54.38/54.69 (assume @p5171 (forall @t6145 (or (not @t6147) @t6139 @t6143))) % 54.38/54.69 (assume @p5172 (forall @t6145 (or @t6139 @t6149))) % 54.38/54.69 (assume @p5173 (forall @t6148 (or @t6144 @t6149))) % 54.38/54.69 (assume @p5174 (forall @t6145 (or (not @t6149) @t6140 @t6143))) % 54.38/54.69 (assume @p5175 @t6154) % 54.38/54.69 (assume @p5176 @t6157) % 54.38/54.69 (assume @p5177 true) % 54.38/54.69 (step @p5178 :rule bool-impl-elim :args (@t13 @t11)) % 54.38/54.69 (step @p5179 :rule cong :premises (@p5178) :args (@t15)) % 54.38/54.69 (step @p5180 :rule eq_resolve :premises (@p2 @p5179)) % 54.38/54.69 (step @p5181 :rule bool-impl-elim :args (@t6153 @t6151)) % 54.38/54.69 (step @p5182 :rule cong :premises (@p5181) :args (@t6154)) % 54.38/54.69 (step @p5183 :rule eq_resolve :premises (@p5175 @p5182)) % 54.38/54.69 (step @p5184 :rule instantiate :premises (@p5183) :args ((@list @t6158))) % 54.38/54.69 (step @p5185 :rule bool-impl-elim :args (@t6153 @t6155)) % 54.38/54.69 (step @p5186 :rule cong :premises (@p5185) :args (@t6156)) % 54.38/54.69 (step @p5187 :rule cong :premises (@p5186) :args (@t6157)) % 54.38/54.69 (step @p5188 :rule eq_resolve :premises (@p5176 @p5187)) % 54.38/54.69 (step @p5189 :rule skolemize :premises (@p5188)) % 54.38/54.69 (step @p5190 :rule bool-double-not-elim :args (@t6159)) % 54.38/54.69 (step @p5191 :rule refl :args (@t6162)) % 54.38/54.69 (step @p5192 :rule nary_cong :premises (@p5191 @p5190) :args ((or @t6162 (not @t6161)))) % 54.38/54.69 (step @p5193 :rule cnf_or_neg :args (@t6162 0)) % 35.78/54.73 (step @p5194 :rule eq_resolve :premises (@p5193 @p5192)) % 35.78/54.73 (step @p5195 :rule reordering :premises (@p5194) :args ((or @t6159 @t6162))) % 35.78/54.73 (step @p5196 :rule chain_m_resolution :premises (@p5195 @p5189) :args (@t6159 @t6163 @t6164)) % 35.78/54.73 (step @p5197 :rule cnf_or_pos :args (@t6166)) % 35.78/54.73 (step @p5198 :rule reordering :premises (@p5197) :args ((or @t6161 @t6165 (not @t6166)))) % 35.78/54.73 (step @p5199 :rule chain_m_resolution :premises (@p5198 @p5196 @p5184) :args (@t6165 (@list false false) (@list @t6159 @t6166))) % 35.78/54.73 (step @p5200 :rule cnf_or_neg :args (@t6162 1)) % 35.78/54.73 (step @p5201 :rule chain_m_resolution :premises (@p5200 @p5189) :args ((not @t6160) @t6163 @t6164)) % 35.78/54.73 (step @p5202 :rule cnf_or_pos :args (@t6168)) % 35.78/54.73 (step @p5203 :rule reordering :premises (@p5202) :args ((or @t6160 @t6167 @t6169))) % 35.78/54.73 (step @p5204 :rule chain_m_resolution :premises (@p5203 @p5201 @p5199) :args (@t6169 @t6170 (@list @t6160 @t6165))) % 35.78/54.73 (assume-push @p5211 @t6171) % 35.78/54.73 (step @p5206 :rule instantiate :premises (@p5180) :args ((@list @t6158 tptp.v_n tptp.t_a))) % 35.78/54.73 (step-pop @p5212 :rule scope :premises (@p5206)) % 35.78/54.73 (step @p5207 :rule process_scope :premises (@p5212) :args (@t6168)) % 35.78/54.73 (step @p5209 :rule implies_elim :premises (@p5207)) % 35.78/54.73 (step @p5210 false :rule chain_m_resolution :premises (@p5209 @p5204 @p5180) :args (false @t6170 (@list @t6168 @t6171))) % 35.78/54.73 ) % 35.78/54.73 % SZS output end Proof % 35.78/54.73 % cvc5 exiting %------------------------------------------------------------------------------