%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW387+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:50 AM UTC 2026 % Result : Theorem 6.43s 6.68s % Output : Proof 6.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW387+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:54:56 EDT 2026 % 0.17/0.34 % CPUTime : % 1.07/1.96 %----Proving TF0_NAR, FOF, or CNF % 6.43/6.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.43/6.68 % SZS status Theorem % 6.43/6.68 % SZS output start Proof % 6.43/6.68 ( % 6.43/6.68 (declare-sort $$unsorted 0) % 6.43/6.68 (declare-const tptp.tc_Com_Ovname $$unsorted) % 6.43/6.68 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__DSequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Oneg__union (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H__rel $$unsorted) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Lazy__Sequence_Osmall__lazy (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OInsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_HOL_Oequal__class_Oequal (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olist__ex1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 6.43/6.68 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 6.43/6.68 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Oyield (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Omeasures (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 6.43/6.68 (declare-const tptp.c_Enum_Oenum__class_Oenum__all (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Enum_Oall__n__lists (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_HOL_Oequal (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olinorder__class_Osort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Enum_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Enum_On__lists (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Oembed__list (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Ohb__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Omaps (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_OremoveAll (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__DSequence_Oneg__union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Int_OInteg $$unsorted) % 6.43/6.68 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Oreturn__list (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.v_y $$unsorted) % 6.43/6.68 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_Ointrel $$unsorted) % 6.43/6.68 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 6.43/6.68 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 6.43/6.68 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 6.43/6.68 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 6.43/6.68 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 6.43/6.68 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 6.43/6.68 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 6.43/6.68 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Smallcheck_Osmall (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Smallcheck_Ofull__small_H (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Smallcheck_Osmall__class_Osmall (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_OMin $$unsorted) % 6.43/6.68 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Enum_Oex__n__lists (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_fFalse $$unsorted) % 6.43/6.68 (declare-const tptp.c_fTrue $$unsorted) % 6.43/6.68 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_fdisj $$unsorted) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 6.43/6.68 (declare-const tptp.c_Map_Omap__add (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_FunDef_Ois__measure (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 6.43/6.68 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nat_OSuc $$unsorted) % 6.43/6.68 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_fimplies $$unsorted) % 6.43/6.68 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.v_c $$unsorted) % 6.43/6.68 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 6.43/6.68 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Map_Omap__of (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Map_Oran (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Omap__filter (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_Onat $$unsorted) % 6.43/6.68 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Com_Ocom_OCall (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Enum_Oenum__the (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Option_Ooption_Ooption__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 6.43/6.68 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Hoare__Mirabelle_OMGT $$unsorted) % 6.43/6.68 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.tc_Com_Opname $$unsorted) % 6.43/6.68 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 6.43/6.68 (declare-const tptp.c_Com_Obody $$unsorted) % 6.43/6.68 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_fequal $$unsorted) % 6.43/6.68 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Ohb__flat (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Map_Orestrict__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 6.43/6.68 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.tc_Com_Ostate $$unsorted) % 6.43/6.68 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.v_pn $$unsorted) % 6.43/6.68 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 6.43/6.68 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Option_Oset (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Nat_Osize (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Enum_Osublists (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Enum_Oenum__class_Oenum__ex (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Oyieldn (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Com_OWT $$unsorted) % 6.43/6.68 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 6.43/6.68 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 6.43/6.68 (declare-const tptp.c_fconj $$unsorted) % 6.43/6.68 (declare-const tptp.c_Com_OWT__bodies Bool) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.tc_HOL_Obool $$unsorted) % 6.43/6.68 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Smallcheck_Oorelse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Map_Omap__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.tc_Com_Ocom $$unsorted) % 6.43/6.68 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Option_Omap (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Enum_Oenum__class_Oenum (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 6.43/6.68 (declare-const tptp.c_fNot $$unsorted) % 6.43/6.68 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Map_Omap__upds (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Smallcheck_Ofull__small__class_Ofull__small (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 6.43/6.68 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Option_Ooption_Ooption__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Com_Ocom_Ocom__size (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Smallcheck_Osmall_H__rel $$unsorted) % 6.43/6.68 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Smallcheck_Osmall_H (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_List_Omember (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Com_Obodies $$unsorted) % 6.43/6.68 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_New__DSequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.tc_Nat_Onat $$unsorted) % 6.43/6.68 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.tc_Int_Oint $$unsorted) % 6.43/6.68 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 6.43/6.68 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 6.43/6.68 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 6.43/6.68 (declare-const tptp.c_Int_OPls $$unsorted) % 6.43/6.68 (define @t1 () (@var "V_g_2" $$unsorted)) % 6.43/6.68 (define @t2 () (@var "V_f_2" $$unsorted)) % 6.43/6.68 (define @t3 () (@var "B_x" $$unsorted)) % 6.43/6.68 (define @t4 () (tptp.hAPP @t1 @t3)) % 6.43/6.68 (define @t5 () (tptp.hAPP @t2 @t3)) % 6.43/6.68 (define @t6 () (= @t5 @t4)) % 6.43/6.68 (define @t7 () (@list @t3)) % 6.43/6.68 (define @t8 () (@var "T_a" $$unsorted)) % 6.43/6.68 (define @t9 () (tptp.tc_Hoare__Mirabelle_Otriple @t8)) % 6.43/6.68 (define @t10 () (tptp.tc_fun @t9 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t11 () (tptp.c_Orderings_Obot__class_Obot @t10)) % 6.43/6.68 (define @t12 () (@var "V_G_2" $$unsorted)) % 6.43/6.68 (define @t13 () (@var "V_a_2" $$unsorted)) % 6.43/6.68 (define @t14 () (@list @t13 @t8)) % 6.43/6.68 (define @t15 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 6.43/6.68 (define @t16 () (tptp.tc_fun @t15 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t17 () (tptp.c_Orderings_Obot__class_Obot @t16)) % 6.43/6.68 (define @t18 () (@var "V_ca_2" $$unsorted)) % 6.43/6.68 (define @t19 () (tptp.c_Set_Oinsert @t15)) % 6.43/6.68 (define @t20 () (tptp.hAPP (tptp.hAPP @t19 (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t18)) @t17)) % 6.43/6.68 (define @t21 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t17 @t20)) % 6.43/6.68 (define @t22 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t18))) % 6.43/6.68 (define @t23 () (=> @t22 @t21)) % 6.43/6.68 (define @t24 () (=> tptp.c_Com_OWT__bodies @t23)) % 6.43/6.68 (define @t25 () (@list @t18)) % 6.43/6.68 (define @t26 () (forall @t25 (=> tptp.c_Hoare__Mirabelle_Ostate__not__singleton @t24))) % 6.43/6.68 (define @t27 () (@var "V_ts_2" $$unsorted)) % 6.43/6.68 (define @t28 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t27)) % 6.43/6.68 (define @t29 () (@var "V_G_H_2" $$unsorted)) % 6.43/6.68 (define @t30 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t29 @t27)) % 6.43/6.68 (define @t31 () (@list @t12 @t27 @t29 @t8)) % 6.43/6.68 (define @t32 () (@var "V_t_2" $$unsorted)) % 6.43/6.68 (define @t33 () (tptp.c_Set_Oinsert @t9)) % 6.43/6.68 (define @t34 () (tptp.hAPP @t33 @t32)) % 6.43/6.68 (define @t35 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP @t34 @t27))) % 6.43/6.68 (define @t36 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP @t34 @t11))) % 6.43/6.68 (define @t37 () (@list @t27 @t32 @t12 @t8)) % 6.43/6.68 (define @t38 () (@var "V_b" $$unsorted)) % 6.43/6.68 (define @t39 () (tptp.c_Option_Ooption_OSome tptp.tc_Com_Ocom)) % 6.43/6.68 (define @t40 () (@var "V_pn" $$unsorted)) % 6.43/6.68 (define @t41 () (tptp.hAPP tptp.c_Com_Obody @t40)) % 6.43/6.68 (define @t42 () (@var "B_y" $$unsorted)) % 6.43/6.68 (define @t43 () (tptp.hAPP @t39 @t42)) % 6.43/6.68 (define @t44 () (@list @t42)) % 6.43/6.68 (define @t45 () (tptp.c_Map_Odom tptp.tc_Com_Opname tptp.tc_Com_Ocom tptp.c_Com_Obody)) % 6.43/6.68 (define @t46 () (tptp.c_member tptp.tc_Com_Opname)) % 6.43/6.68 (define @t47 () (@var "T_b" $$unsorted)) % 6.43/6.68 (define @t48 () (tptp.tc_fun @t47 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t49 () (tptp.c_Orderings_Obot__class_Obot @t48)) % 6.43/6.68 (define @t50 () (tptp.c_Set_Oinsert @t47)) % 6.43/6.68 (define @t51 () (@var "V_A_2" $$unsorted)) % 6.43/6.68 (define @t52 () (tptp.c_COMBK @t47 @t8)) % 6.43/6.68 (define @t53 () (tptp.hAPP (tptp.c_Set_Oimage @t8 @t47 (tptp.hAPP @t52 @t18)) @t51)) % 6.43/6.68 (define @t54 () (= @t53 (tptp.hAPP (tptp.hAPP @t50 @t18) @t49))) % 6.43/6.68 (define @t55 () (tptp.tc_fun @t8 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t56 () (tptp.c_Orderings_Obot__class_Obot @t55)) % 6.43/6.68 (define @t57 () (= @t51 @t56)) % 6.43/6.68 (define @t58 () (not @t57)) % 6.43/6.68 (define @t59 () (@list @t18 @t47 @t8 @t51)) % 6.43/6.68 (define @t60 () (tptp.c_Map_Odom @t47 @t8 @t2)) % 6.43/6.68 (define @t61 () (@var "V_x_2" $$unsorted)) % 6.43/6.68 (define @t62 () (tptp.hAPP @t50 @t61)) % 6.43/6.68 (define @t63 () (tptp.hAPP @t62 @t60)) % 6.43/6.68 (define @t64 () (@var "V_y_2" $$unsorted)) % 6.43/6.68 (define @t65 () (tptp.c_Option_Ooption_OSome @t8)) % 6.43/6.68 (define @t66 () (tptp.hAPP @t65 @t64)) % 6.43/6.68 (define @t67 () (tptp.hAPP @t2 @t61)) % 6.43/6.68 (define @t68 () (@var "V_pn_2" $$unsorted)) % 6.43/6.68 (define @t69 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t68)) % 6.43/6.68 (define @t70 () (tptp.hAPP @t19 (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t69))) % 6.43/6.68 (define @t71 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 6.43/6.68 (define @t72 () (tptp.hAPP @t71 (tptp.hAPP tptp.c_Com_Obody @t68))) % 6.43/6.68 (define @t73 () (tptp.c_Orderings_Obot__class_Obot @t8)) % 6.43/6.68 (define @t74 () (tptp.tc_fun @t47 @t8)) % 6.43/6.68 (define @t75 () (tptp.class_Orderings_Obot @t8)) % 6.43/6.68 (define @t76 () (@list @t61 @t47 @t8)) % 6.43/6.68 (define @t77 () (@var "V_B_2" $$unsorted)) % 6.43/6.68 (define @t78 () (tptp.c_Set_Oimage @t47 @t8 @t2)) % 6.43/6.68 (define @t79 () (tptp.hAPP @t78 @t77)) % 6.43/6.68 (define @t80 () (tptp.hAPP @t2 @t13)) % 6.43/6.68 (define @t81 () (tptp.c_Set_Oinsert @t8)) % 6.43/6.68 (define @t82 () (tptp.hAPP @t50 @t13)) % 6.43/6.68 (define @t83 () (tptp.hAPP @t82 @t77)) % 6.43/6.68 (define @t84 () (= @t51 @t49)) % 6.43/6.68 (define @t85 () (tptp.hAPP @t78 @t51)) % 6.43/6.68 (define @t86 () (@list @t51 @t2 @t47 @t8)) % 6.43/6.68 (define @t87 () (@list @t2 @t8 @t47)) % 6.43/6.68 (define @t88 () (@list @t51 @t2 @t8 @t47)) % 6.43/6.68 (define @t89 () (tptp.hAPP @t81 @t13)) % 6.43/6.68 (define @t90 () (tptp.hAPP @t89 @t51)) % 6.43/6.68 (define @t91 () (@list @t51 @t13 @t8)) % 6.43/6.68 (define @t92 () (tptp.hAPP @t51 @t61)) % 6.43/6.68 (define @t93 () (tptp.hBOOL @t92)) % 6.43/6.68 (define @t94 () (= @t64 @t61)) % 6.43/6.68 (define @t95 () (tptp.hAPP @t81 @t64)) % 6.43/6.68 (define @t96 () (tptp.hAPP @t95 @t51)) % 6.43/6.68 (define @t97 () (tptp.hAPP @t81 @t61)) % 6.43/6.68 (define @t98 () (tptp.hAPP @t97 @t51)) % 6.43/6.68 (define @t99 () (@list @t51 @t64 @t61 @t8)) % 6.43/6.68 (define @t100 () (@list @t51 @t61 @t8)) % 6.43/6.68 (define @t101 () (@var "V_pname_H_2" $$unsorted)) % 6.43/6.68 (define @t102 () (@var "V_pname_2" $$unsorted)) % 6.43/6.68 (define @t103 () (= @t102 @t101)) % 6.43/6.68 (define @t104 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t101)) % 6.43/6.68 (define @t105 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t102)) % 6.43/6.68 (define @t106 () (@var "T_c" $$unsorted)) % 6.43/6.68 (define @t107 () (tptp.c_COMBB @t47 @t8 @t106)) % 6.43/6.68 (define @t108 () (tptp.c_Set_Oimage @t106 @t47 @t1)) % 6.43/6.68 (define @t109 () (@var "V_b_2" $$unsorted)) % 6.43/6.68 (define @t110 () (= @t13 @t109)) % 6.43/6.68 (define @t111 () (tptp.hAPP @t81 @t109)) % 6.43/6.68 (define @t112 () (tptp.hAPP @t111 @t56)) % 6.43/6.68 (define @t113 () (tptp.hAPP @t89 @t56)) % 6.43/6.68 (define @t114 () (@list @t109 @t13 @t8)) % 6.43/6.68 (define @t115 () (= @t109 @t18)) % 6.43/6.68 (define @t116 () (@var "V_d_2" $$unsorted)) % 6.43/6.68 (define @t117 () (= @t109 @t116)) % 6.43/6.68 (define @t118 () (= @t13 @t18)) % 6.43/6.68 (define @t119 () (and @t118 @t117)) % 6.43/6.68 (define @t120 () (tptp.hAPP @t81 @t18)) % 6.43/6.68 (define @t121 () (tptp.hAPP @t89 @t112)) % 6.43/6.68 (define @t122 () (@list @t116 @t18 @t109 @t13 @t8)) % 6.43/6.68 (define @t123 () (@var "V_F_2" $$unsorted)) % 6.43/6.68 (define @t124 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Com_Ocom @t15 tptp.tc_Com_Opname) tptp.c_Hoare__Mirabelle_OMGT)) % 6.43/6.68 (define @t125 () (tptp.c_Set_Oimage tptp.tc_Com_Opname @t15 (tptp.hAPP @t124 tptp.c_Com_Ocom_OBODY))) % 6.43/6.68 (define @t126 () (tptp.hAPP @t125 @t45)) % 6.43/6.68 (define @t127 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) @t71) tptp.c_Com_Obody)) % 6.43/6.68 (define @t128 () (tptp.c_Set_Oimage tptp.tc_Com_Opname @t15 (tptp.hAPP @t124 @t127))) % 6.43/6.68 (define @t129 () (tptp.hAPP @t97 @t56)) % 6.43/6.68 (define @t130 () (@list @t61 @t8)) % 6.43/6.68 (define @t131 () (@var "V_P" $$unsorted)) % 6.43/6.68 (define @t132 () (@var "V_x" $$unsorted)) % 6.43/6.68 (define @t133 () (tptp.c_Option_Othe @t8)) % 6.43/6.68 (define @t134 () (@list @t132 @t8)) % 6.43/6.68 (define @t135 () (@var "V_Q_2" $$unsorted)) % 6.43/6.68 (define @t136 () (@var "V_P_2" $$unsorted)) % 6.43/6.68 (define @t137 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t8)) % 6.43/6.68 (define @t138 () (tptp.hAPP @t137 @t136)) % 6.43/6.68 (define @t139 () (tptp.hAPP (tptp.hAPP @t138 @t69) @t135)) % 6.43/6.68 (define @t140 () (tptp.hAPP @t33 @t139)) % 6.43/6.68 (define @t141 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP @t140 @t11))) % 6.43/6.68 (define @t142 () (tptp.hAPP (tptp.hAPP @t138 @t72) @t135)) % 6.43/6.68 (define @t143 () (tptp.hAPP (tptp.hAPP @t33 @t142) @t11)) % 6.43/6.68 (define @t144 () (@var "V_Y_2" $$unsorted)) % 6.43/6.68 (define @t145 () (tptp.c_COMBI @t8)) % 6.43/6.68 (define @t146 () (@list @t144 @t8)) % 6.43/6.68 (define @t147 () (tptp.hAPP @t65 @t61)) % 6.43/6.68 (define @t148 () (@var "V_Procs_2" $$unsorted)) % 6.43/6.68 (define @t149 () (tptp.hAPP @t125 @t148)) % 6.43/6.68 (define @t150 () (tptp.c_Finite__Set_Ofinite tptp.tc_Com_Opname)) % 6.43/6.68 (define @t151 () (@var "V_a_H_2" $$unsorted)) % 6.43/6.68 (define @t152 () (= @t13 @t151)) % 6.43/6.68 (define @t153 () (tptp.hAPP @t65 @t13)) % 6.43/6.68 (define @t154 () (tptp.c_member @t8)) % 6.43/6.68 (define @t155 () (tptp.hAPP @t154 @t61)) % 6.43/6.68 (define @t156 () (tptp.hBOOL (tptp.hAPP @t155 @t51))) % 6.43/6.68 (define @t157 () (@var "V_X_2" $$unsorted)) % 6.43/6.68 (define @t158 () (tptp.c_Orderings_Oord__class_Oless__eq @t8)) % 6.43/6.68 (define @t159 () (tptp.hAPP @t158 @t132)) % 6.43/6.68 (define @t160 () (tptp.class_Orderings_Opreorder @t8)) % 6.43/6.68 (define @t161 () (tptp.hAPP @t154 @t18)) % 6.43/6.68 (define @t162 () (tptp.hBOOL (tptp.hAPP @t161 @t77))) % 6.43/6.68 (define @t163 () (tptp.hBOOL (tptp.hAPP @t161 @t51))) % 6.43/6.68 (define @t164 () (not @t163)) % 6.43/6.68 (define @t165 () (=> @t164 @t162)) % 6.43/6.68 (define @t166 () (not @t162)) % 6.43/6.68 (define @t167 () (=> @t163 @t166)) % 6.43/6.68 (define @t168 () (= @t51 @t77)) % 6.43/6.68 (define @t169 () (tptp.c_Orderings_Oord__class_Oless__eq @t55)) % 6.43/6.68 (define @t170 () (tptp.hAPP @t169 @t77)) % 6.43/6.68 (define @t171 () (tptp.hBOOL (tptp.hAPP @t170 @t51))) % 6.43/6.68 (define @t172 () (tptp.hAPP @t169 @t51)) % 6.43/6.68 (define @t173 () (tptp.hBOOL (tptp.hAPP @t172 @t77))) % 6.43/6.68 (define @t174 () (@list @t77 @t51 @t8)) % 6.43/6.68 (define @t175 () (tptp.hAPP @t154 @t13)) % 6.43/6.68 (define @t176 () (tptp.hBOOL (tptp.hAPP @t175 @t51))) % 6.43/6.68 (define @t177 () (not @t110)) % 6.43/6.68 (define @t178 () (tptp.hAPP @t111 @t51)) % 6.43/6.68 (define @t179 () (tptp.hBOOL (tptp.hAPP @t175 @t178))) % 6.43/6.68 (define @t180 () (@list @t51 @t109 @t13 @t8)) % 6.43/6.68 (define @t181 () (tptp.hAPP @t111 @t77)) % 6.43/6.68 (define @t182 () (tptp.hBOOL (tptp.hAPP @t175 @t181))) % 6.43/6.68 (define @t183 () (tptp.hBOOL (tptp.hAPP @t175 @t77))) % 6.43/6.68 (define @t184 () (not @t183)) % 6.43/6.68 (define @t185 () (@list @t109 @t77 @t13 @t8)) % 6.43/6.68 (define @t186 () (=> @t163 @t162)) % 6.43/6.68 (define @t187 () (@list @t18 @t77 @t51 @t8)) % 6.43/6.68 (define @t188 () (tptp.hAPP @t154 @t109)) % 6.43/6.68 (define @t189 () (tptp.c_member @t47)) % 6.43/6.68 (define @t190 () (tptp.hAPP @t189 @t61)) % 6.43/6.68 (define @t191 () (tptp.hBOOL (tptp.hAPP @t190 @t51))) % 6.43/6.68 (define @t192 () (= @t109 @t67)) % 6.43/6.68 (define @t193 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t55)) % 6.43/6.68 (define @t194 () (tptp.hAPP @t193 @t51)) % 6.43/6.68 (define @t195 () (tptp.hAPP @t194 @t77)) % 6.43/6.68 (define @t196 () (tptp.hBOOL (tptp.hAPP @t161 @t195))) % 6.43/6.68 (define @t197 () (@list @t77 @t51 @t18 @t8)) % 6.43/6.68 (define @t198 () (@list @t51 @t77 @t18 @t8)) % 6.43/6.68 (define @t199 () (@list @t51 @t8)) % 6.43/6.68 (define @t200 () (@list @t51 @t77 @t8)) % 6.43/6.68 (define @t201 () (tptp.c_Orderings_Oord__class_Oless__eq @t47)) % 6.43/6.68 (define @t202 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t201 @t5) @t4))) % 6.43/6.68 (define @t203 () (tptp.tc_fun @t8 @t47)) % 6.43/6.68 (define @t204 () (tptp.c_Orderings_Oord__class_Oless__eq @t203)) % 6.43/6.68 (define @t205 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t204 @t2) @t1))) % 6.43/6.68 (define @t206 () (tptp.class_Orderings_Oord @t47)) % 6.43/6.68 (define @t207 () (@list @t1 @t2 @t8 @t47)) % 6.43/6.68 (define @t208 () (tptp.hAPP @t193 @t77)) % 6.43/6.68 (define @t209 () (tptp.hAPP @t208 @t51)) % 6.43/6.68 (define @t210 () (@var "V_y" $$unsorted)) % 6.43/6.68 (define @t211 () (tptp.hAPP @t158 @t210)) % 6.43/6.68 (define @t212 () (tptp.hBOOL (tptp.hAPP @t211 @t132))) % 6.43/6.68 (define @t213 () (tptp.hBOOL (tptp.hAPP @t159 @t210))) % 6.43/6.68 (define @t214 () (tptp.class_Orderings_Olinorder @t8)) % 6.43/6.68 (define @t215 () (@list @t210 @t132 @t8)) % 6.43/6.68 (define @t216 () (= @t195 @t77)) % 6.43/6.68 (define @t217 () (@list @t8 @t77 @t51)) % 6.43/6.68 (define @t218 () (tptp.hAPP @t158 @t64)) % 6.43/6.68 (define @t219 () (tptp.hBOOL (tptp.hAPP @t218 @t61))) % 6.43/6.68 (define @t220 () (tptp.hAPP @t158 @t61)) % 6.43/6.68 (define @t221 () (tptp.hBOOL (tptp.hAPP @t220 @t64))) % 6.43/6.68 (define @t222 () (= @t61 @t64)) % 6.43/6.68 (define @t223 () (tptp.class_Orderings_Oorder @t8)) % 6.43/6.68 (define @t224 () (@list @t64 @t61 @t8)) % 6.43/6.68 (define @t225 () (@var "V_C_2" $$unsorted)) % 6.43/6.68 (define @t226 () (tptp.hAPP @t194 @t225)) % 6.43/6.68 (define @t227 () (tptp.hAPP @t208 @t225)) % 6.43/6.68 (define @t228 () (tptp.hAPP @t194 @t227)) % 6.43/6.68 (define @t229 () (@list @t225 @t77 @t51 @t8)) % 6.43/6.68 (define @t230 () (tptp.hAPP @t136 @t3)) % 6.43/6.68 (define @t231 () (tptp.hBOOL @t230)) % 6.43/6.68 (define @t232 () (tptp.hAPP @t154 @t3)) % 6.43/6.68 (define @t233 () (tptp.hBOOL (tptp.hAPP @t232 @t77))) % 6.43/6.68 (define @t234 () (tptp.hBOOL (tptp.hAPP @t232 @t51))) % 6.43/6.68 (define @t235 () (tptp.hBOOL (tptp.hAPP @t232 @t195))) % 6.43/6.68 (define @t236 () (@list @t136 @t77 @t51 @t8)) % 6.43/6.68 (define @t237 () (@var "V_fun_H_2" $$unsorted)) % 6.43/6.68 (define @t238 () (@var "V_fun_2" $$unsorted)) % 6.43/6.68 (define @t239 () (= @t238 @t237)) % 6.43/6.68 (define @t240 () (@var "V_vname_H_2" $$unsorted)) % 6.43/6.68 (define @t241 () (@var "V_vname_2" $$unsorted)) % 6.43/6.68 (define @t242 () (tptp.c_Com_Ocom_OCall @t240 @t101 @t237)) % 6.43/6.68 (define @t243 () (tptp.c_Com_Ocom_OCall @t241 @t102 @t238)) % 6.43/6.68 (define @t244 () (= @t132 @t210)) % 6.43/6.68 (define @t245 () (tptp.hAPP @t1 @t61)) % 6.43/6.68 (define @t246 () (tptp.hBOOL (tptp.hAPP @t155 @t77))) % 6.43/6.68 (define @t247 () (tptp.hAPP @t154 @t64)) % 6.43/6.68 (define @t248 () (tptp.hBOOL (tptp.hAPP @t247 @t51))) % 6.43/6.68 (define @t249 () (@list @t61 @t77 @t51 @t8)) % 6.43/6.68 (define @t250 () (= @t221 @t222)) % 6.43/6.68 (define @t251 () (@list @t61 @t64 @t8)) % 6.43/6.68 (define @t252 () (tptp.hBOOL (tptp.hAPP @t188 @t51))) % 6.43/6.68 (define @t253 () (@list @t51 @t8 @t109 @t13)) % 6.43/6.68 (define @t254 () (@var "V_c" $$unsorted)) % 6.43/6.68 (define @t255 () (@var "V_a" $$unsorted)) % 6.43/6.68 (define @t256 () (tptp.hAPP @t158 @t255)) % 6.43/6.68 (define @t257 () (tptp.hBOOL (tptp.hAPP @t256 @t254))) % 6.43/6.68 (define @t258 () (tptp.hAPP @t158 @t38)) % 6.43/6.68 (define @t259 () (tptp.hBOOL (tptp.hAPP @t258 @t254))) % 6.43/6.68 (define @t260 () (= @t255 @t38)) % 6.43/6.68 (define @t261 () (tptp.class_Orderings_Oord @t8)) % 6.43/6.68 (define @t262 () (@list @t254 @t38 @t255 @t8)) % 6.43/6.68 (define @t263 () (tptp.hAPP @t158 @t254)) % 6.43/6.68 (define @t264 () (tptp.hBOOL (tptp.hAPP @t263 @t255))) % 6.43/6.68 (define @t265 () (@list @t77 @t51 @t61 @t8)) % 6.43/6.68 (define @t266 () (tptp.hBOOL (tptp.hAPP @t172 @t225))) % 6.43/6.68 (define @t267 () (tptp.hBOOL (tptp.hAPP @t170 @t225))) % 6.43/6.68 (define @t268 () (= @t38 @t254)) % 6.43/6.68 (define @t269 () (tptp.hBOOL (tptp.hAPP @t256 @t38))) % 6.43/6.68 (define @t270 () (tptp.hBOOL (tptp.hAPP @t258 @t255))) % 6.43/6.68 (define @t271 () (@list @t254 @t255 @t38 @t8)) % 6.43/6.68 (define @t272 () (@var "V_z" $$unsorted)) % 6.43/6.68 (define @t273 () (tptp.hBOOL (tptp.hAPP @t159 @t272))) % 6.43/6.68 (define @t274 () (tptp.hBOOL (tptp.hAPP @t211 @t272))) % 6.43/6.68 (define @t275 () (@list @t272 @t210 @t132 @t8)) % 6.43/6.68 (define @t276 () (@list @t132 @t210 @t8)) % 6.43/6.68 (define @t277 () (tptp.hAPP @t158 @t272)) % 6.43/6.68 (define @t278 () (tptp.hBOOL (tptp.hAPP @t277 @t132))) % 6.43/6.68 (define @t279 () (tptp.hBOOL (tptp.hAPP @t277 @t210))) % 6.43/6.68 (define @t280 () (@list @t272 @t132 @t210 @t8)) % 6.43/6.68 (define @t281 () (tptp.hAPP @t169 @t195)) % 6.43/6.68 (define @t282 () (@list @t77 @t225 @t51 @t8)) % 6.43/6.68 (define @t283 () (@var "V_D_2" $$unsorted)) % 6.43/6.68 (define @t284 () (tptp.hAPP @t193 @t225)) % 6.43/6.68 (define @t285 () (tptp.hBOOL (tptp.hAPP @t170 @t283))) % 6.43/6.68 (define @t286 () (@list @t283 @t77 @t225 @t51 @t8)) % 6.43/6.68 (define @t287 () (@var "V_fun2_H_2" $$unsorted)) % 6.43/6.68 (define @t288 () (@var "V_fun2_2" $$unsorted)) % 6.43/6.68 (define @t289 () (@var "V_com_H_2" $$unsorted)) % 6.43/6.68 (define @t290 () (@var "V_com_2" $$unsorted)) % 6.43/6.68 (define @t291 () (= @t290 @t289)) % 6.43/6.68 (define @t292 () (@var "V_fun1_H_2" $$unsorted)) % 6.43/6.68 (define @t293 () (@var "V_fun1_2" $$unsorted)) % 6.43/6.68 (define @t294 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t137 @t293) @t290) @t288)) % 6.43/6.68 (define @t295 () (@var "V_xo_2" $$unsorted)) % 6.43/6.68 (define @t296 () (tptp.c_Option_Oset @t8 @t295)) % 6.43/6.68 (define @t297 () (tptp.hAPP @t97 @t77)) % 6.43/6.68 (define @t298 () (tptp.hBOOL (tptp.hAPP @t172 @t297))) % 6.43/6.68 (define @t299 () (not @t156)) % 6.43/6.68 (define @t300 () (@list @t77 @t8)) % 6.43/6.68 (define @t301 () (= @t77 @t56)) % 6.43/6.68 (define @t302 () (tptp.hAPP @t89 @t77)) % 6.43/6.68 (define @t303 () (@list @t77 @t13 @t51 @t8)) % 6.43/6.68 (define @t304 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t48)) % 6.43/6.68 (define @t305 () (tptp.hAPP @t304 @t51)) % 6.43/6.68 (define @t306 () (tptp.hAPP @t305 @t77)) % 6.43/6.68 (define @t307 () (@list @t77 @t51 @t2 @t8 @t47)) % 6.43/6.68 (define @t308 () (not @t234)) % 6.43/6.68 (define @t309 () (exists @t7 @t234)) % 6.43/6.68 (define @t310 () (not @t176)) % 6.43/6.68 (define @t311 () (@list @t77 @t13 @t8)) % 6.43/6.68 (define @t312 () (or @t110 @t176)) % 6.43/6.68 (define @t313 () (not @t246)) % 6.43/6.68 (define @t314 () (tptp.hAPP @t169 @t225)) % 6.43/6.68 (define @t315 () (@var "V_z_2" $$unsorted)) % 6.43/6.68 (define @t316 () (tptp.hAPP @t189 @t3)) % 6.43/6.68 (define @t317 () (tptp.hBOOL (tptp.hAPP @t316 @t51))) % 6.43/6.68 (define @t318 () (tptp.hAPP @t154 @t315)) % 6.43/6.68 (define @t319 () (tptp.c_Set_Oimage @t8 @t47 @t2)) % 6.43/6.68 (define @t320 () (tptp.hAPP @t319 @t51)) % 6.43/6.68 (define @t321 () (@list @t2 @t47 @t51 @t61 @t8)) % 6.43/6.68 (define @t322 () (tptp.hAPP @t189 @t109)) % 6.43/6.68 (define @t323 () (@var "B_AA" $$unsorted)) % 6.43/6.68 (define @t324 () (tptp.c_Orderings_Oord__class_Oless__eq @t48)) % 6.43/6.68 (define @t325 () (tptp.hBOOL (tptp.hAPP @t170 @t85))) % 6.43/6.68 (define @t326 () (tptp.hAPP @t319 @t77)) % 6.43/6.68 (define @t327 () (tptp.hAPP @t324 @t320)) % 6.43/6.68 (define @t328 () (tptp.hBOOL (tptp.hAPP @t327 @t326))) % 6.43/6.68 (define @t329 () (@list @t2 @t47 @t77 @t51 @t8)) % 6.43/6.68 (define @t330 () (tptp.c_Orderings_Oord__class_Oless__eq @t10)) % 6.43/6.68 (define @t331 () (tptp.hAPP @t330 @t27)) % 6.43/6.68 (define @t332 () (@var "V_ts_H_2" $$unsorted)) % 6.43/6.68 (define @t333 () (= @t109 @t13)) % 6.43/6.68 (define @t334 () (tptp.hBOOL (tptp.hAPP @t188 @t113))) % 6.43/6.68 (define @t335 () (@list @t13 @t109 @t8)) % 6.43/6.68 (define @t336 () (@list @t61 @t51 @t8)) % 6.43/6.68 (define @t337 () (@var "V_m_2" $$unsorted)) % 6.43/6.68 (define @t338 () (tptp.hAPP @t189 @t13)) % 6.43/6.68 (define @t339 () (tptp.hAPP @t65 @t109)) % 6.43/6.68 (define @t340 () (tptp.hAPP @t337 @t13)) % 6.43/6.68 (define @t341 () (= @t340 @t339)) % 6.43/6.68 (define @t342 () (@list @t47 @t109 @t8 @t13 @t337)) % 6.43/6.68 (define @t343 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t344 () (tptp.tc_fun @t8 @t343)) % 6.43/6.68 (define @t345 () (tptp.tc_fun @t344 @t9)) % 6.43/6.68 (define @t346 () (tptp.hAPP (tptp.c_COMBS tptp.tc_Com_Opname tptp.tc_Com_Ocom @t345) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t344 (tptp.tc_fun tptp.tc_Com_Ocom @t345) tptp.tc_Com_Opname) @t137) @t136))) % 6.43/6.68 (define @t347 () (tptp.c_COMBS tptp.tc_Com_Opname @t344 @t9)) % 6.43/6.68 (define @t348 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t9 (tptp.hAPP (tptp.hAPP @t347 (tptp.hAPP @t346 @t127)) @t135)) @t148)) % 6.43/6.68 (define @t349 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t9 (tptp.hAPP (tptp.hAPP @t347 (tptp.hAPP @t346 tptp.c_Com_Ocom_OBODY)) @t135)) @t148)) % 6.43/6.68 (define @t350 () (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t10) @t12) @t349)) % 6.43/6.68 (define @t351 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t350 @t348)) % 6.43/6.68 (define @t352 () (@var "V_a1_2" $$unsorted)) % 6.43/6.68 (define @t353 () (@var "V_a3_2" $$unsorted)) % 6.43/6.68 (define @t354 () (@var "V_a2_2" $$unsorted)) % 6.43/6.68 (define @t355 () (@list @t148 @t135 @t136 @t12 @t8)) % 6.43/6.68 (define @t356 () (@var "V_h_2" $$unsorted)) % 6.43/6.68 (define @t357 () (tptp.c_Set_Oimage @t8 @t47 @t356)) % 6.43/6.68 (define @t358 () (tptp.c_Finite__Set_Ofinite @t47)) % 6.43/6.68 (define @t359 () (tptp.c_Finite__Set_Ofinite @t8)) % 6.43/6.68 (define @t360 () (tptp.hBOOL (tptp.hAPP @t359 @t123))) % 6.43/6.68 (define @t361 () (@list @t356 @t47 @t123 @t8)) % 6.43/6.68 (define @t362 () (tptp.hBOOL (tptp.hAPP @t359 @t90))) % 6.43/6.68 (define @t363 () (tptp.hBOOL (tptp.hAPP @t359 @t51))) % 6.43/6.68 (define @t364 () (@list @t13 @t51 @t8)) % 6.43/6.68 (define @t365 () (@list @t8)) % 6.43/6.68 (define @t366 () (tptp.hAPP (tptp.hAPP @t19 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate) @t136) @t18) @t135)) @t17)) % 6.43/6.68 (define @t367 () (tptp.hBOOL (tptp.hAPP @t358 @t77))) % 6.43/6.68 (define @t368 () (tptp.hAPP @t324 @t77)) % 6.43/6.68 (define @t369 () (tptp.hBOOL (tptp.hAPP @t368 @t320))) % 6.43/6.68 (define @t370 () (tptp.hBOOL (tptp.hAPP @t195 @t61))) % 6.43/6.68 (define @t371 () (tptp.hAPP @t77 @t61)) % 6.43/6.68 (define @t372 () (tptp.hBOOL @t371)) % 6.43/6.68 (define @t373 () (not @t372)) % 6.43/6.68 (define @t374 () (@var "V_U_2" $$unsorted)) % 6.43/6.68 (define @t375 () (@var "V_c0_2" $$unsorted)) % 6.43/6.68 (define @t376 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t47)) % 6.43/6.68 (define @t377 () (tptp.tc_Hoare__Mirabelle_Otriple @t47)) % 6.43/6.68 (define @t378 () (tptp.tc_fun @t47 @t343)) % 6.43/6.68 (define @t379 () (tptp.tc_fun @t378 @t377)) % 6.43/6.68 (define @t380 () (tptp.hAPP (tptp.c_COMBB @t378 (tptp.tc_fun tptp.tc_Com_Ocom @t379) @t8) @t376)) % 6.43/6.68 (define @t381 () (tptp.c_COMBS @t8 tptp.tc_Com_Ocom @t379)) % 6.43/6.68 (define @t382 () (tptp.c_COMBS @t8 @t378 @t377)) % 6.43/6.68 (define @t383 () (@var "V_Q_H_2" $$unsorted)) % 6.43/6.68 (define @t384 () (@var "V_P_H_2" $$unsorted)) % 6.43/6.68 (define @t385 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t377 tptp.tc_HOL_Obool))) % 6.43/6.68 (define @t386 () (@var "B_p" $$unsorted)) % 6.43/6.68 (define @t387 () (tptp.hAPP @t375 @t386)) % 6.43/6.68 (define @t388 () (tptp.c_Set_Oinsert @t377)) % 6.43/6.68 (define @t389 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8)) % 6.43/6.68 (define @t390 () (tptp.class_Lattices_Olattice @t8)) % 6.43/6.68 (define @t391 () (@list @t61 @t1 @t2 @t47 @t8)) % 6.43/6.68 (define @t392 () (@var "V_S_2" $$unsorted)) % 6.43/6.68 (define @t393 () (@var "V_R_2" $$unsorted)) % 6.43/6.68 (define @t394 () (tptp.hAPP (tptp.c_COMBC @t8 @t55 tptp.tc_HOL_Obool) @t154)) % 6.43/6.68 (define @t395 () (tptp.hAPP @t394 @t392)) % 6.43/6.68 (define @t396 () (tptp.hAPP @t394 @t393)) % 6.43/6.68 (define @t397 () (@list @t61 @t392 @t393 @t8)) % 6.43/6.68 (define @t398 () (@list @t392 @t393 @t8)) % 6.43/6.68 (define @t399 () (tptp.c_Hoare__Mirabelle_Ohoare__valids @t8 @t12 @t27)) % 6.43/6.68 (define @t400 () (@list @t27 @t12 @t8)) % 6.43/6.68 (define @t401 () (tptp.hAPP tptp.c_fequal @t64)) % 6.43/6.68 (define @t402 () (tptp.class_Finite__Set_Ofinite @t8)) % 6.43/6.68 (define @t403 () (tptp.hAPP @t389 @t255)) % 6.43/6.68 (define @t404 () (tptp.class_Lattices_Osemilattice__sup @t8)) % 6.43/6.68 (define @t405 () (@list @t255 @t8)) % 6.43/6.68 (define @t406 () (tptp.hAPP @t389 @t132)) % 6.43/6.68 (define @t407 () (= (tptp.hAPP @t406 @t132) @t132)) % 6.43/6.68 (define @t408 () (tptp.hAPP @t389 @t38)) % 6.43/6.68 (define @t409 () (tptp.hAPP @t403 @t38)) % 6.43/6.68 (define @t410 () (@list @t38 @t255 @t8)) % 6.43/6.68 (define @t411 () (tptp.hAPP @t389 @t210)) % 6.43/6.68 (define @t412 () (tptp.hAPP @t411 @t132)) % 6.43/6.68 (define @t413 () (tptp.hAPP @t406 @t210)) % 6.43/6.68 (define @t414 () (= @t413 @t412)) % 6.43/6.68 (define @t415 () (= (tptp.hAPP @t406 @t413) @t413)) % 6.43/6.68 (define @t416 () (tptp.hAPP @t403 (tptp.hAPP @t408 @t254))) % 6.43/6.68 (define @t417 () (tptp.hAPP @t406 @t272)) % 6.43/6.68 (define @t418 () (tptp.hAPP @t411 @t272)) % 6.43/6.68 (define @t419 () (tptp.hAPP @t406 @t418)) % 6.43/6.68 (define @t420 () (= @t419 (tptp.hAPP @t411 @t417))) % 6.43/6.68 (define @t421 () (= (tptp.hAPP (tptp.hAPP @t389 @t413) @t272) @t419)) % 6.43/6.68 (define @t422 () (tptp.hAPP @t135 @t61)) % 6.43/6.68 (define @t423 () (tptp.hBOOL @t422)) % 6.43/6.68 (define @t424 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t136) @t135))) % 6.43/6.68 (define @t425 () (tptp.hAPP @t136 @t61)) % 6.43/6.68 (define @t426 () (tptp.hBOOL @t425)) % 6.43/6.68 (define @t427 () (= @t393 @t392)) % 6.43/6.68 (define @t428 () (tptp.hBOOL (tptp.hAPP @t159 @t413))) % 6.43/6.68 (define @t429 () (tptp.hBOOL (tptp.hAPP @t211 @t413))) % 6.43/6.68 (define @t430 () (tptp.hAPP @t389 @t61)) % 6.43/6.68 (define @t431 () (tptp.hAPP @t430 @t64)) % 6.43/6.68 (define @t432 () (tptp.hBOOL (tptp.hAPP @t218 @t315))) % 6.43/6.68 (define @t433 () (tptp.hBOOL (tptp.hAPP @t220 @t315))) % 6.43/6.68 (define @t434 () (and @t433 @t432)) % 6.43/6.68 (define @t435 () (@list @t315 @t64 @t61 @t8)) % 6.43/6.68 (define @t436 () (tptp.hBOOL (tptp.hAPP @t159 @t409))) % 6.43/6.68 (define @t437 () (tptp.hBOOL (tptp.hAPP @t159 @t255))) % 6.43/6.68 (define @t438 () (@list @t38 @t255 @t132 @t8)) % 6.43/6.68 (define @t439 () (tptp.hBOOL (tptp.hAPP @t159 @t38))) % 6.43/6.68 (define @t440 () (@list @t255 @t38 @t132 @t8)) % 6.43/6.68 (define @t441 () (tptp.hAPP @t158 @t409)) % 6.43/6.68 (define @t442 () (tptp.hBOOL (tptp.hAPP @t441 @t132))) % 6.43/6.68 (define @t443 () (tptp.hBOOL (tptp.hAPP @t258 @t132))) % 6.43/6.68 (define @t444 () (tptp.hBOOL (tptp.hAPP @t256 @t132))) % 6.43/6.68 (define @t445 () (@list @t38 @t132 @t255 @t8)) % 6.43/6.68 (define @t446 () (@var "V_d" $$unsorted)) % 6.43/6.68 (define @t447 () (tptp.hBOOL (tptp.hAPP @t258 @t446))) % 6.43/6.68 (define @t448 () (@list @t446 @t38 @t254 @t255 @t8)) % 6.43/6.68 (define @t449 () (not (=> @t444 (not @t443)))) % 6.43/6.68 (define @t450 () (@list @t132 @t38 @t255 @t8)) % 6.43/6.68 (define @t451 () (tptp.class_Lattices_Obounded__lattice__bot @t8)) % 6.43/6.68 (define @t452 () (tptp.hBOOL (tptp.hAPP @t359 @t77))) % 6.43/6.68 (define @t453 () (tptp.hBOOL (tptp.hAPP @t359 @t12))) % 6.43/6.68 (define @t454 () (tptp.hBOOL (tptp.hAPP @t359 (tptp.hAPP (tptp.hAPP @t193 @t123) @t12)))) % 6.43/6.68 (define @t455 () (@list @t12 @t123 @t8)) % 6.43/6.68 (define @t456 () (@var "V_f1_2" $$unsorted)) % 6.43/6.68 (define @t457 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t456 @t293) @t290) @t288)) % 6.43/6.68 (define @t458 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t376 @t293) @t290) @t288)) % 6.43/6.68 (define @t459 () (@list @t288 @t290 @t293 @t456 @t8 @t47)) % 6.43/6.68 (define @t460 () (tptp.hAPP @t123 @t51)) % 6.43/6.68 (define @t461 () (tptp.hAPP @t67 @t460)) % 6.43/6.68 (define @t462 () (tptp.hAPP @t123 @t98)) % 6.43/6.68 (define @t463 () (=> @t58 (= @t462 @t461))) % 6.43/6.68 (define @t464 () (tptp.c_Finite__Set_Ofolding__one @t8 @t2 @t123)) % 6.43/6.68 (define @t465 () (@list @t61 @t51 @t123 @t2 @t8)) % 6.43/6.68 (define @t466 () (tptp.hAPP @t123 @t77)) % 6.43/6.68 (define @t467 () (tptp.hAPP (tptp.hAPP @t2 @t460) @t466)) % 6.43/6.68 (define @t468 () (tptp.hAPP @t123 @t195)) % 6.43/6.68 (define @t469 () (= @t468 @t467)) % 6.43/6.68 (define @t470 () (not @t301)) % 6.43/6.68 (define @t471 () (tptp.c_Finite__Set_Ofolding__one__idem @t8 @t2 @t123)) % 6.43/6.68 (define @t472 () (@list @t77 @t51 @t123 @t2 @t8)) % 6.43/6.68 (define @t473 () (= (tptp.hAPP (tptp.hAPP @t2 @t466) @t460) @t460)) % 6.43/6.68 (define @t474 () (tptp.hBOOL (tptp.hAPP @t136 @t123))) % 6.43/6.68 (define @t475 () (@var "B_F" $$unsorted)) % 6.43/6.68 (define @t476 () (@var "B_a" $$unsorted)) % 6.43/6.68 (define @t477 () (tptp.hAPP @t81 @t476)) % 6.43/6.68 (define @t478 () (tptp.hBOOL (tptp.hAPP @t136 @t475))) % 6.43/6.68 (define @t479 () (tptp.hAPP @t154 @t476)) % 6.43/6.68 (define @t480 () (tptp.hBOOL (tptp.hAPP @t479 @t51))) % 6.43/6.68 (define @t481 () (tptp.hBOOL (tptp.hAPP @t359 @t475))) % 6.43/6.68 (define @t482 () (tptp.hBOOL (tptp.hAPP @t136 @t56))) % 6.43/6.68 (define @t483 () (tptp.hAPP @t138 @t18)) % 6.43/6.68 (define @t484 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP @t483 @t135)) @t11))) % 6.43/6.68 (define @t485 () (@var "B_Z" $$unsorted)) % 6.43/6.68 (define @t486 () (tptp.hAPP @t135 @t485)) % 6.43/6.68 (define @t487 () (tptp.c_COMBK @t343 @t8)) % 6.43/6.68 (define @t488 () (@var "B_s" $$unsorted)) % 6.43/6.68 (define @t489 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t485) @t488))) % 6.43/6.68 (define @t490 () (@list @t485 @t488)) % 6.43/6.68 (define @t491 () (tptp.c_COMBC @t8 @t55 @t55)) % 6.43/6.68 (define @t492 () (tptp.hAPP (tptp.hAPP @t491 @t81) @t56)) % 6.43/6.68 (define @t493 () (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t8)) % 6.43/6.68 (define @t494 () (= (tptp.hAPP @t67 @t61) @t61)) % 6.43/6.68 (define @t495 () (@list @t61 @t123 @t2 @t8)) % 6.43/6.68 (define @t496 () (@var "V_pname_H" $$unsorted)) % 6.43/6.68 (define @t497 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t496)) % 6.43/6.68 (define @t498 () (@list @t496)) % 6.43/6.68 (define @t499 () (@list @t237 @t101 @t240)) % 6.43/6.68 (define @t500 () (tptp.hAPP @t81 @t3)) % 6.43/6.68 (define @t501 () (tptp.hAPP @t500 (tptp.hAPP (tptp.hAPP @t81 @t42) @t56))) % 6.43/6.68 (define @t502 () (tptp.hAPP @t5 @t42)) % 6.43/6.68 (define @t503 () (@list @t3 @t42)) % 6.43/6.68 (define @t504 () (@list @t51 @t123 @t2 @t8)) % 6.43/6.68 (define @t505 () (@var "V_N_2" $$unsorted)) % 6.43/6.68 (define @t506 () (tptp.c_Set_Oimage @t8 @t8 @t356)) % 6.43/6.68 (define @t507 () (tptp.hAPP @t506 @t505)) % 6.43/6.68 (define @t508 () (not (= @t505 @t56))) % 6.43/6.68 (define @t509 () (tptp.hBOOL (tptp.hAPP @t359 @t505))) % 6.43/6.68 (define @t510 () (tptp.hAPP @t356 @t42)) % 6.43/6.68 (define @t511 () (tptp.hAPP @t356 @t3)) % 6.43/6.68 (define @t512 () (tptp.hAPP @t2 @t245)) % 6.43/6.68 (define @t513 () (tptp.hAPP @t512 @t460)) % 6.43/6.68 (define @t514 () (tptp.hAPP @t62 @t51)) % 6.43/6.68 (define @t515 () (tptp.hAPP @t123 @t514)) % 6.43/6.68 (define @t516 () (= @t515 @t513)) % 6.43/6.68 (define @t517 () (tptp.hBOOL (tptp.hAPP @t358 @t51))) % 6.43/6.68 (define @t518 () (tptp.c_Finite__Set_Ofolding__image__simple @t8 @t47 @t2 @t315 @t1 @t123)) % 6.43/6.68 (define @t519 () (@list @t61 @t51 @t123 @t1 @t315 @t2 @t47 @t8)) % 6.43/6.68 (define @t520 () (tptp.c_COMBC @t8 @t8 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t521 () (tptp.hAPP @t520 tptp.c_fequal)) % 6.43/6.68 (define @t522 () (tptp.hAPP @t521 @t13)) % 6.43/6.68 (define @t523 () (tptp.hAPP tptp.c_fequal @t61)) % 6.43/6.68 (define @t524 () (tptp.c_Com_Ocom_OWhile @t109 @t18)) % 6.43/6.68 (define @t525 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t526 () (tptp.tc_fun tptp.tc_Com_Ostate @t525)) % 6.43/6.68 (define @t527 () (@list @t18 @t109 @t136 @t12 @t8)) % 6.43/6.68 (define @t528 () (tptp.c_Groups_Ominus__class_Ominus @t55)) % 6.43/6.68 (define @t529 () (tptp.hAPP @t528 @t51)) % 6.43/6.68 (define @t530 () (tptp.hAPP @t529 @t129)) % 6.43/6.68 (define @t531 () (tptp.hAPP @t123 @t530)) % 6.43/6.68 (define @t532 () (tptp.hAPP @t67 @t531)) % 6.43/6.68 (define @t533 () (= @t530 @t56)) % 6.43/6.68 (define @t534 () (not @t533)) % 6.43/6.68 (define @t535 () (tptp.hAPP @t123 @t306)) % 6.43/6.68 (define @t536 () (= @t535 @t467)) % 6.43/6.68 (define @t537 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t8 @t47 @t2 @t315 @t1 @t123)) % 6.43/6.68 (define @t538 () (@list @t77 @t51 @t123 @t1 @t315 @t2 @t47 @t8)) % 6.43/6.68 (define @t539 () (tptp.hAPP @t529 @t77)) % 6.43/6.68 (define @t540 () (tptp.hBOOL (tptp.hAPP @t161 @t539))) % 6.43/6.68 (define @t541 () (tptp.hBOOL (tptp.hAPP @t359 @t539))) % 6.43/6.68 (define @t542 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t524))) % 6.43/6.68 (define @t543 () (@var "V_c2" $$unsorted)) % 6.43/6.68 (define @t544 () (@var "V_c1" $$unsorted)) % 6.43/6.68 (define @t545 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t544))) % 6.43/6.68 (define @t546 () (tptp.c_Com_Ocom_OWhile @t237 @t289)) % 6.43/6.68 (define @t547 () (tptp.c_Com_Ocom_OWhile @t238 @t290)) % 6.43/6.68 (define @t548 () (@var "V_com2_H_2" $$unsorted)) % 6.43/6.68 (define @t549 () (@var "V_com2_2" $$unsorted)) % 6.43/6.68 (define @t550 () (= @t549 @t548)) % 6.43/6.68 (define @t551 () (@var "V_com1_H_2" $$unsorted)) % 6.43/6.68 (define @t552 () (@var "V_com1_2" $$unsorted)) % 6.43/6.68 (define @t553 () (= @t552 @t551)) % 6.43/6.68 (define @t554 () (tptp.c_Com_Ocom_OSemi @t551 @t548)) % 6.43/6.68 (define @t555 () (tptp.c_Com_Ocom_OSemi @t552 @t549)) % 6.43/6.68 (define @t556 () (tptp.hAPP @t528 @t539)) % 6.43/6.68 (define @t557 () (tptp.c_Groups_Ominus__class_Ominus @t8)) % 6.43/6.68 (define @t558 () (tptp.hAPP @t528 @t225)) % 6.43/6.68 (define @t559 () (tptp.hAPP @t528 @t77)) % 6.43/6.68 (define @t560 () (tptp.hAPP @t169 @t539)) % 6.43/6.68 (define @t561 () (tptp.hAPP @t559 @t225)) % 6.43/6.68 (define @t562 () (tptp.hAPP @t529 @t225)) % 6.43/6.68 (define @t563 () (tptp.hAPP @t559 @t51)) % 6.43/6.68 (define @t564 () (tptp.hAPP @t194 @t563)) % 6.43/6.68 (define @t565 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t352))) % 6.43/6.68 (define @t566 () (@list @t289 @t237)) % 6.43/6.68 (define @t567 () (@var "V_com2" $$unsorted)) % 6.43/6.68 (define @t568 () (@var "V_com1" $$unsorted)) % 6.43/6.68 (define @t569 () (tptp.c_Com_Ocom_OSemi @t568 @t567)) % 6.43/6.68 (define @t570 () (@var "V_c0" $$unsorted)) % 6.43/6.68 (define @t571 () (and @t565 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t354)))) % 6.43/6.68 (define @t572 () (@var "V_com2_H" $$unsorted)) % 6.43/6.68 (define @t573 () (@var "V_com1_H" $$unsorted)) % 6.43/6.68 (define @t574 () (tptp.c_Com_Ocom_OSemi @t573 @t572)) % 6.43/6.68 (define @t575 () (@list @t572 @t573)) % 6.43/6.68 (define @t576 () (tptp.hAPP @t62 @t49)) % 6.43/6.68 (define @t577 () (tptp.c_Groups_Ominus__class_Ominus @t48)) % 6.43/6.68 (define @t578 () (tptp.hAPP @t577 @t51)) % 6.43/6.68 (define @t579 () (tptp.hAPP @t512 (tptp.hAPP @t123 (tptp.hAPP @t578 @t576)))) % 6.43/6.68 (define @t580 () (tptp.hAPP @t528 @t98)) % 6.43/6.68 (define @t581 () (tptp.hAPP @t580 @t77)) % 6.43/6.68 (define @t582 () (=> @t246 (= @t581 @t539))) % 6.43/6.68 (define @t583 () (@list @t51 @t77 @t61 @t8)) % 6.43/6.68 (define @t584 () (tptp.hAPP @t529 @t113)) % 6.43/6.68 (define @t585 () (tptp.hAPP @t89 @t584)) % 6.43/6.68 (define @t586 () (tptp.hAPP @t529 @t302)) % 6.43/6.68 (define @t587 () (tptp.hAPP @t578 @t77)) % 6.43/6.68 (define @t588 () (@list @t77 @t51 @t2 @t47 @t8)) % 6.43/6.68 (define @t589 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t530) @t77))) % 6.43/6.68 (define @t590 () (@list @t77 @t61 @t51 @t8)) % 6.43/6.68 (define @t591 () (=> @t299 @t173)) % 6.43/6.68 (define @t592 () (tptp.c_Partial__Function_Oflat__lub @t8 @t109 @t51)) % 6.43/6.68 (define @t593 () (tptp.hBOOL (tptp.hAPP @t172 @t112))) % 6.43/6.68 (define @t594 () (@list @t109 @t51 @t8)) % 6.43/6.68 (define @t595 () (tptp.hAPP @t158 @t18)) % 6.43/6.68 (define @t596 () (tptp.hBOOL (tptp.hAPP @t595 @t116))) % 6.43/6.68 (define @t597 () (tptp.hAPP @t158 @t13)) % 6.43/6.68 (define @t598 () (tptp.hBOOL (tptp.hAPP @t597 @t109))) % 6.43/6.68 (define @t599 () (tptp.hAPP (tptp.hAPP @t557 @t13) @t109)) % 6.43/6.68 (define @t600 () (= @t599 (tptp.hAPP (tptp.hAPP @t557 @t18) @t116))) % 6.43/6.68 (define @t601 () (tptp.class_Groups_Oordered__ab__group__add @t8)) % 6.43/6.68 (define @t602 () (tptp.c_Fun_Ofun__upd @t8 @t47)) % 6.43/6.68 (define @t603 () (tptp.hAPP @t602 @t2)) % 6.43/6.68 (define @t604 () (tptp.hAPP @t603 @t61)) % 6.43/6.68 (define @t605 () (tptp.hAPP @t604 @t64)) % 6.43/6.68 (define @t606 () (tptp.hAPP (tptp.c_Set_Oimage @t8 @t47 @t605) @t51)) % 6.43/6.68 (define @t607 () (@var "B_A" $$unsorted)) % 6.43/6.68 (define @t608 () (tptp.hBOOL (tptp.hAPP @t479 @t607))) % 6.43/6.68 (define @t609 () (@list @t476 @t607)) % 6.43/6.68 (define @t610 () (tptp.c_COMBC @t55 @t55 @t55)) % 6.43/6.68 (define @t611 () (tptp.tc_fun @t55 @t55)) % 6.43/6.68 (define @t612 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t611 @t8) (tptp.hAPP @t610 @t528)) @t492)) % 6.43/6.68 (define @t613 () (tptp.c_Orderings_Oord__class_Oless @t55)) % 6.43/6.68 (define @t614 () (tptp.hAPP @t613 @t51)) % 6.43/6.68 (define @t615 () (tptp.hBOOL (tptp.hAPP @t614 @t77))) % 6.43/6.68 (define @t616 () (@var "V_f2_2" $$unsorted)) % 6.43/6.68 (define @t617 () (tptp.hAPP @t616 @t13)) % 6.43/6.68 (define @t618 () (tptp.c_Option_Ooption_OSome @t47)) % 6.43/6.68 (define @t619 () (tptp.hAPP @t618 @t13)) % 6.43/6.68 (define @t620 () (tptp.c_Option_Ooption_Ooption__case @t8 @t47 @t456 @t616)) % 6.43/6.68 (define @t621 () (@list @t13 @t616 @t456 @t47 @t8)) % 6.43/6.68 (define @t622 () (tptp.hAPP @t67 @t64)) % 6.43/6.68 (define @t623 () (@list @t64 @t315 @t2 @t47 @t51 @t61 @t8)) % 6.43/6.68 (define @t624 () (tptp.hAPP @t430 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t530))) % 6.43/6.68 (define @t625 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t51)) % 6.43/6.68 (define @t626 () (@list @t61 @t2 @t47 @t8)) % 6.43/6.68 (define @t627 () (tptp.c_Orderings_Oord__class_Oless @t8)) % 6.43/6.68 (define @t628 () (tptp.hAPP @t627 @t132)) % 6.43/6.68 (define @t629 () (tptp.hAPP @t627 @t64)) % 6.43/6.68 (define @t630 () (tptp.hBOOL (tptp.hAPP @t629 @t61))) % 6.43/6.68 (define @t631 () (tptp.hAPP @t627 @t61)) % 6.43/6.68 (define @t632 () (tptp.hBOOL (tptp.hAPP @t631 @t64))) % 6.43/6.68 (define @t633 () (not @t222)) % 6.43/6.68 (define @t634 () (not @t632)) % 6.43/6.68 (define @t635 () (tptp.hAPP @t627 @t210)) % 6.43/6.68 (define @t636 () (tptp.hBOOL (tptp.hAPP @t635 @t132))) % 6.43/6.68 (define @t637 () (tptp.hBOOL (tptp.hAPP @t628 @t210))) % 6.43/6.68 (define @t638 () (= @t634 @t222)) % 6.43/6.68 (define @t639 () (not @t637)) % 6.43/6.68 (define @t640 () (not @t244)) % 6.43/6.68 (define @t641 () (=> @t640 (=> @t639 @t636))) % 6.43/6.68 (define @t642 () (tptp.hAPP @t627 @t38)) % 6.43/6.68 (define @t643 () (tptp.hBOOL (tptp.hAPP @t642 @t255))) % 6.43/6.68 (define @t644 () (tptp.hAPP @t627 @t255)) % 6.43/6.68 (define @t645 () (tptp.hBOOL (tptp.hAPP @t644 @t38))) % 6.43/6.68 (define @t646 () (@list @t255 @t38 @t8)) % 6.43/6.68 (define @t647 () (tptp.hBOOL (tptp.hAPP @t644 @t254))) % 6.43/6.68 (define @t648 () (tptp.hBOOL (tptp.hAPP @t642 @t254))) % 6.43/6.68 (define @t649 () (tptp.hAPP @t627 @t254)) % 6.43/6.68 (define @t650 () (tptp.hBOOL (tptp.hAPP @t649 @t255))) % 6.43/6.68 (define @t651 () (tptp.hBOOL (tptp.hAPP @t614 @t225))) % 6.43/6.68 (define @t652 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t613 @t77) @t225)) @t651)) % 6.43/6.68 (define @t653 () (tptp.hBOOL (tptp.hAPP @t628 @t272))) % 6.43/6.68 (define @t654 () (=> (tptp.hBOOL (tptp.hAPP @t635 @t272)) @t653)) % 6.43/6.68 (define @t655 () (tptp.hAPP @t627 @t272)) % 6.43/6.68 (define @t656 () (tptp.hBOOL (tptp.hAPP @t655 @t132))) % 6.43/6.68 (define @t657 () (=> (tptp.hBOOL (tptp.hAPP @t655 @t210)) @t656)) % 6.43/6.68 (define @t658 () (= @t67 @t64)) % 6.43/6.68 (define @t659 () (@list @t64 @t61 @t2 @t47 @t8)) % 6.43/6.68 (define @t660 () (@list @t315 @t64 @t61 @t2 @t47 @t8)) % 6.43/6.68 (define @t661 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t47 @t8) @t2) @t61) @t64)) % 6.43/6.68 (define @t662 () (tptp.hAPP @t2 @t315)) % 6.43/6.68 (define @t663 () (tptp.hAPP @t605 @t315)) % 6.43/6.68 (define @t664 () (= @t315 @t61)) % 6.43/6.68 (define @t665 () (=> (not @t664) (= @t663 @t662))) % 6.43/6.68 (define @t666 () (@list @t64 @t2 @t47 @t8 @t61 @t315)) % 6.43/6.68 (define @t667 () (tptp.hAPP @t602 @t337)) % 6.43/6.68 (define @t668 () (tptp.hAPP @t67 @t315)) % 6.43/6.68 (define @t669 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t47 @t2)) % 6.43/6.68 (define @t670 () (tptp.hAPP @t627 @t18)) % 6.43/6.68 (define @t671 () (tptp.hBOOL (tptp.hAPP @t670 @t116))) % 6.43/6.68 (define @t672 () (tptp.hAPP @t627 @t13)) % 6.43/6.68 (define @t673 () (tptp.hBOOL (tptp.hAPP @t672 @t109))) % 6.43/6.68 (define @t674 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t603 @t13) @t109) @t61)) % 6.43/6.68 (define @t675 () (= @t61 @t13)) % 6.43/6.68 (define @t676 () (not @t675)) % 6.43/6.68 (define @t677 () (tptp.tc_fun @t47 @t47)) % 6.43/6.68 (define @t678 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t677 @t106) @t2) @t1)) % 6.43/6.68 (define @t679 () (@list @t1 @t106 @t2 @t47 @t8)) % 6.43/6.68 (define @t680 () (@list @t315 @t2 @t47 @t8)) % 6.43/6.68 (define @t681 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t203) @t2) @t1))) % 6.43/6.68 (define @t682 () (not @t260)) % 6.43/6.68 (define @t683 () (tptp.hBOOL (tptp.hAPP @t628 @t409))) % 6.43/6.68 (define @t684 () (tptp.hBOOL (tptp.hAPP @t628 @t38))) % 6.43/6.68 (define @t685 () (tptp.hBOOL (tptp.hAPP @t628 @t255))) % 6.43/6.68 (define @t686 () (tptp.hAPP @t337 @t61)) % 6.43/6.68 (define @t687 () (tptp.tc_Option_Ooption @t8)) % 6.43/6.68 (define @t688 () (tptp.c_Fun_Ofun__upd @t47 @t687)) % 6.43/6.68 (define @t689 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t688 @t337) @t13) @t339)) % 6.43/6.68 (define @t690 () (@var "V_k_2" $$unsorted)) % 6.43/6.68 (define @t691 () (tptp.hAPP @t618 @t64)) % 6.43/6.68 (define @t692 () (@var "V_n_2" $$unsorted)) % 6.43/6.68 (define @t693 () (tptp.tc_Option_Ooption @t47)) % 6.43/6.68 (define @t694 () (tptp.c_Fun_Ofun__upd @t8 @t693)) % 6.43/6.68 (define @t695 () (tptp.hAPP @t618 @t61)) % 6.43/6.68 (define @t696 () (tptp.hAPP @t694 @t337)) % 6.43/6.68 (define @t697 () (tptp.hAPP @t696 @t13)) % 6.43/6.68 (define @t698 () (tptp.hAPP @t696 @t61)) % 6.43/6.68 (define @t699 () (tptp.hAPP @t698 @t691)) % 6.43/6.68 (define @t700 () (tptp.hAPP @t430 @t625)) % 6.43/6.68 (define @t701 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t98)) % 6.43/6.68 (define @t702 () (=> @t58 (= @t701 @t700))) % 6.43/6.68 (define @t703 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t77)) % 6.43/6.68 (define @t704 () (tptp.hAPP (tptp.hAPP @t389 @t625) @t703)) % 6.43/6.68 (define @t705 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t195)) % 6.43/6.68 (define @t706 () (= @t705 @t704)) % 6.43/6.68 (define @t707 () (= @t18 @t116)) % 6.43/6.68 (define @t708 () (tptp.class_Groups_Oab__group__add @t8)) % 6.43/6.68 (define @t709 () (tptp.hAPP (tptp.hAPP @t389 @t3) @t42)) % 6.43/6.68 (define @t710 () (tptp.hAPP @t500 @t56)) % 6.43/6.68 (define @t711 () (@var "V_a4_2" $$unsorted)) % 6.43/6.68 (define @t712 () (@var "V_a5_2" $$unsorted)) % 6.43/6.68 (define @t713 () (tptp.hAPP (tptp.hAPP @t353 @t352) @t712)) % 6.43/6.68 (define @t714 () (= @t354 @t56)) % 6.43/6.68 (define @t715 () (@list @t505 @t356 @t8)) % 6.43/6.68 (define @t716 () (tptp.tc_fun @t48 @t48)) % 6.43/6.68 (define @t717 () (tptp.c_COMBC @t8 @t48 @t48)) % 6.43/6.68 (define @t718 () (@list @t2 @t47 @t51 @t8)) % 6.43/6.68 (define @t719 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t47)) % 6.43/6.68 (define @t720 () (tptp.hAPP @t719 @t2)) % 6.43/6.68 (define @t721 () (tptp.hAPP @t720 @t51)) % 6.43/6.68 (define @t722 () (tptp.hAPP @t720 @t584)) % 6.43/6.68 (define @t723 () (tptp.c_Groups_Ominus__class_Ominus @t47)) % 6.43/6.68 (define @t724 () (tptp.hAPP @t723 @t721)) % 6.43/6.68 (define @t725 () (=> @t176 (= @t722 (tptp.hAPP @t724 @t80)))) % 6.43/6.68 (define @t726 () (tptp.class_Groups_Oab__group__add @t47)) % 6.43/6.68 (define @t727 () (@list @t2 @t13 @t51 @t8 @t47)) % 6.43/6.68 (define @t728 () (tptp.class_Rings_Oring @t47)) % 6.43/6.68 (define @t729 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t55)) % 6.43/6.68 (define @t730 () (tptp.hAPP @t729 @t51)) % 6.43/6.68 (define @t731 () (tptp.hAPP @t730 @t77)) % 6.43/6.68 (define @t732 () (= @t731 @t56)) % 6.43/6.68 (define @t733 () (not @t732)) % 6.43/6.68 (define @t734 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t389)) % 6.43/6.68 (define @t735 () (tptp.hAPP @t528 @t283)) % 6.43/6.68 (define @t736 () (tptp.c_Map_Orestrict__map @t8 @t47 @t337 (tptp.hAPP @t735 @t129))) % 6.43/6.68 (define @t737 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 @t736) @t61) @t64)) % 6.43/6.68 (define @t738 () (tptp.c_Map_Orestrict__map @t8 @t47 @t337 @t283)) % 6.43/6.68 (define @t739 () (tptp.hAPP (tptp.hAPP @t694 @t738) @t61)) % 6.43/6.68 (define @t740 () (= (tptp.hAPP @t739 @t64) @t737)) % 6.43/6.68 (define @t741 () (tptp.hBOOL (tptp.hAPP @t155 @t283))) % 6.43/6.68 (define @t742 () (@list @t64 @t337 @t47 @t283 @t61 @t8)) % 6.43/6.68 (define @t743 () (tptp.hBOOL (tptp.hAPP @t731 @t61))) % 6.43/6.68 (define @t744 () (tptp.hBOOL (tptp.hAPP @t161 @t731))) % 6.43/6.68 (define @t745 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8)) % 6.43/6.68 (define @t746 () (tptp.hAPP @t745 @t132)) % 6.43/6.68 (define @t747 () (= (tptp.hAPP @t746 @t132) @t132)) % 6.43/6.68 (define @t748 () (tptp.hAPP @t729 @t77)) % 6.43/6.68 (define @t749 () (tptp.hAPP @t748 @t225)) % 6.43/6.68 (define @t750 () (tptp.hAPP @t730 @t749)) % 6.43/6.68 (define @t751 () (tptp.c_Map_Orestrict__map @t8 @t47 @t337 @t51)) % 6.43/6.68 (define @t752 () (tptp.hAPP @t730 @t225)) % 6.43/6.68 (define @t753 () (tptp.hAPP @t748 @t51)) % 6.43/6.68 (define @t754 () (tptp.hAPP @t745 @t210)) % 6.43/6.68 (define @t755 () (tptp.hAPP @t754 @t272)) % 6.43/6.68 (define @t756 () (tptp.hAPP @t746 @t755)) % 6.43/6.68 (define @t757 () (tptp.hAPP @t746 @t210)) % 6.43/6.68 (define @t758 () (= (tptp.hAPP (tptp.hAPP @t745 @t757) @t272) @t756)) % 6.43/6.68 (define @t759 () (tptp.class_Lattices_Osemilattice__inf @t8)) % 6.43/6.68 (define @t760 () (tptp.hAPP @t745 @t38)) % 6.43/6.68 (define @t761 () (tptp.hAPP @t745 @t255)) % 6.43/6.68 (define @t762 () (tptp.hAPP @t761 (tptp.hAPP @t760 @t254))) % 6.43/6.68 (define @t763 () (tptp.hAPP @t761 @t38)) % 6.43/6.68 (define @t764 () (tptp.hAPP @t746 @t272)) % 6.43/6.68 (define @t765 () (= @t756 (tptp.hAPP @t754 @t764))) % 6.43/6.68 (define @t766 () (= (tptp.hAPP @t746 @t757) @t757)) % 6.43/6.68 (define @t767 () (tptp.hAPP @t754 @t132)) % 6.43/6.68 (define @t768 () (= @t757 @t767)) % 6.43/6.68 (define @t769 () (tptp.tc_fun @t8 @t8)) % 6.43/6.68 (define @t770 () (tptp.c_COMBB @t8 @t769 @t47)) % 6.43/6.68 (define @t771 () (tptp.hAPP (tptp.hAPP @t770 @t2) @t1)) % 6.43/6.68 (define @t772 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t8 @t47 @t2) @t1)) % 6.43/6.68 (define @t773 () (@list @t1 @t2 @t47 @t8)) % 6.43/6.68 (define @t774 () (tptp.c_COMBC @t47 @t106 @t8)) % 6.43/6.68 (define @t775 () (tptp.hAPP @t774 @t2)) % 6.43/6.68 (define @t776 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t47 @t8)) % 6.43/6.68 (define @t777 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t106 @t8)) % 6.43/6.68 (define @t778 () (tptp.tc_fun @t106 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t779 () (tptp.tc_fun @t106 @t8)) % 6.43/6.68 (define @t780 () (tptp.c_COMBB @t779 (tptp.tc_fun @t778 @t8) @t47)) % 6.43/6.68 (define @t781 () (tptp.hAPP @t780 @t777)) % 6.43/6.68 (define @t782 () (tptp.c_COMBC @t47 @t778 @t8)) % 6.43/6.68 (define @t783 () (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP (tptp.hAPP @t782 (tptp.hAPP @t781 @t2)) @t77)) @t51)) % 6.43/6.68 (define @t784 () (tptp.class_Groups_Ocomm__monoid__add @t8)) % 6.43/6.68 (define @t785 () (@list @t51 @t77 @t2 @t106 @t47 @t8)) % 6.43/6.68 (define @t786 () (tptp.c_Map_Odom @t8 @t47 @t337)) % 6.43/6.68 (define @t787 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t745)) % 6.43/6.68 (define @t788 () (tptp.hAPP @t787 @t109)) % 6.43/6.68 (define @t789 () (tptp.hAPP @t788 @t51)) % 6.43/6.68 (define @t790 () (tptp.hAPP @t745 @t13)) % 6.43/6.68 (define @t791 () (@list @t13 @t109 @t51 @t8)) % 6.43/6.68 (define @t792 () (tptp.hAPP @t158 @t757)) % 6.43/6.68 (define @t793 () (tptp.hBOOL (tptp.hAPP @t792 @t132))) % 6.43/6.68 (define @t794 () (tptp.hBOOL (tptp.hAPP @t792 @t210))) % 6.43/6.68 (define @t795 () (tptp.hAPP @t745 @t61)) % 6.43/6.68 (define @t796 () (tptp.hAPP @t795 @t64)) % 6.43/6.68 (define @t797 () (and @t221 @t433)) % 6.43/6.68 (define @t798 () (tptp.hAPP @t158 @t763)) % 6.43/6.68 (define @t799 () (tptp.hBOOL (tptp.hAPP @t798 @t132))) % 6.43/6.68 (define @t800 () (@list @t255 @t132 @t38 @t8)) % 6.43/6.68 (define @t801 () (tptp.hBOOL (tptp.hAPP @t159 @t763))) % 6.43/6.68 (define @t802 () (not (=> @t437 (not @t439)))) % 6.43/6.68 (define @t803 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t763) @t132))) % 6.43/6.68 (define @t804 () (tptp.hBOOL (tptp.hAPP @t642 @t132))) % 6.43/6.68 (define @t805 () (tptp.hBOOL (tptp.hAPP @t644 @t132))) % 6.43/6.68 (define @t806 () (tptp.hAPP (tptp.hAPP @t389 @t757) @t764)) % 6.43/6.68 (define @t807 () (tptp.hAPP @t746 @t418)) % 6.43/6.68 (define @t808 () (tptp.class_Lattices_Odistrib__lattice @t8)) % 6.43/6.68 (define @t809 () (tptp.hAPP (tptp.hAPP @t745 @t413) @t417)) % 6.43/6.68 (define @t810 () (tptp.hAPP @t406 @t755)) % 6.43/6.68 (define @t811 () (@list @t132 @t272 @t210 @t8)) % 6.43/6.68 (define @t812 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t47 @t8 @t2) @t315)) % 6.43/6.68 (define @t813 () (@var "B_xa" $$unsorted)) % 6.43/6.68 (define @t814 () (= @t3 @t813)) % 6.43/6.68 (define @t815 () (not @t814)) % 6.43/6.68 (define @t816 () (tptp.hAPP @t154 @t813)) % 6.43/6.68 (define @t817 () (@list @t813)) % 6.43/6.68 (define @t818 () (tptp.hAPP @t89 @t731)) % 6.43/6.68 (define @t819 () (@list @t77 @t51 @t13 @t8)) % 6.43/6.68 (define @t820 () (tptp.hAPP @t729 @t225)) % 6.43/6.68 (define @t821 () (tptp.hAPP @t169 @t731)) % 6.43/6.68 (define @t822 () (tptp.hBOOL (tptp.hAPP @t314 @t51))) % 6.43/6.68 (define @t823 () (@list @t77 @t51 @t225 @t8)) % 6.43/6.68 (define @t824 () (tptp.hAPP @t284 @t51)) % 6.43/6.68 (define @t825 () (tptp.hAPP @t729 @t195)) % 6.43/6.68 (define @t826 () (tptp.hAPP @t820 @t51)) % 6.43/6.68 (define @t827 () (tptp.hAPP @t193 @t731)) % 6.43/6.68 (define @t828 () (@list @t51 @t225 @t77 @t8)) % 6.43/6.68 (define @t829 () (tptp.hAPP @t730 @t227)) % 6.43/6.68 (define @t830 () (tptp.hAPP @t528 @t752)) % 6.43/6.68 (define @t831 () (tptp.hAPP @t830 @t749)) % 6.43/6.68 (define @t832 () (tptp.hAPP @t729 @t539)) % 6.43/6.68 (define @t833 () (tptp.hAPP @t772 @t315)) % 6.43/6.68 (define @t834 () (tptp.hAPP @t790 @t109)) % 6.43/6.68 (define @t835 () (@list @t109 @t13 @t51 @t8)) % 6.43/6.68 (define @t836 () (tptp.hAPP @t776 @t1)) % 6.43/6.68 (define @t837 () (tptp.hAPP @t836 @t51)) % 6.43/6.68 (define @t838 () (tptp.hAPP @t776 @t2)) % 6.43/6.68 (define @t839 () (tptp.hAPP @t838 @t51)) % 6.43/6.68 (define @t840 () (tptp.c_COMBS @t47 @t8 @t8)) % 6.43/6.68 (define @t841 () (tptp.hAPP (tptp.hAPP @t840 (tptp.hAPP (tptp.hAPP @t770 @t557) @t2)) @t1)) % 6.43/6.68 (define @t842 () (@list @t51 @t1 @t2 @t47 @t8)) % 6.43/6.68 (define @t843 () (tptp.hAPP @t751 @t61)) % 6.43/6.68 (define @t844 () (=> @t156 (= @t843 @t686))) % 6.43/6.68 (define @t845 () (@list @t337 @t47 @t51 @t61 @t8)) % 6.43/6.68 (define @t846 () (@list @t51 @t13 @t2 @t47 @t8)) % 6.43/6.68 (define @t847 () (tptp.hAPP @t730 @t302)) % 6.43/6.68 (define @t848 () (=> @t310 (= @t847 @t731))) % 6.43/6.68 (define @t849 () (=> @t176 (= @t847 @t818))) % 6.43/6.68 (define @t850 () (tptp.hAPP (tptp.hAPP @t729 @t302) @t225)) % 6.43/6.68 (define @t851 () (tptp.hBOOL (tptp.hAPP @t175 @t225))) % 6.43/6.68 (define @t852 () (=> (not @t851) (= @t850 @t749))) % 6.43/6.68 (define @t853 () (=> @t851 (= @t850 (tptp.hAPP @t89 @t749)))) % 6.43/6.68 (define @t854 () (@list @t77 @t225 @t13 @t8)) % 6.43/6.68 (define @t855 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t48)) % 6.43/6.68 (define @t856 () (tptp.hAPP @t855 @t51)) % 6.43/6.68 (define @t857 () (tptp.hAPP @t856 @t77)) % 6.43/6.68 (define @t858 () (tptp.hAPP @t193 @t539)) % 6.43/6.68 (define @t859 () (tptp.hAPP @t833 @t51)) % 6.43/6.68 (define @t860 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t861 () (tptp.hAPP @t860 @t2)) % 6.43/6.68 (define @t862 () (tptp.hAPP @t861 @t77)) % 6.43/6.68 (define @t863 () (tptp.hAPP @t861 @t51)) % 6.43/6.68 (define @t864 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t865 () (tptp.hAPP @t864 @t863)) % 6.43/6.68 (define @t866 () (tptp.hAPP @t734 @t109)) % 6.43/6.68 (define @t867 () (tptp.hAPP @t866 @t51)) % 6.43/6.68 (define @t868 () (tptp.hAPP @t389 @t13)) % 6.43/6.68 (define @t869 () (tptp.c_Finite__Set_Ofold @t8 @t47 @t2)) % 6.43/6.68 (define @t870 () (tptp.hAPP (tptp.hAPP @t869 @t668) @t51)) % 6.43/6.68 (define @t871 () (tptp.hAPP @t869 @t315)) % 6.43/6.68 (define @t872 () (tptp.hAPP @t871 @t98)) % 6.43/6.68 (define @t873 () (= @t872 @t870)) % 6.43/6.68 (define @t874 () (@list @t61 @t315 @t51 @t2 @t47 @t8)) % 6.43/6.68 (define @t875 () (tptp.hAPP @t871 @t51)) % 6.43/6.68 (define @t876 () (tptp.hAPP @t67 @t875)) % 6.43/6.68 (define @t877 () (= @t872 @t876)) % 6.43/6.68 (define @t878 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t2)) % 6.43/6.68 (define @t879 () (tptp.hAPP @t861 @t584)) % 6.43/6.68 (define @t880 () (tptp.hAPP @t720 @t77)) % 6.43/6.68 (define @t881 () (@list @t2 @t77 @t51 @t8 @t47)) % 6.43/6.68 (define @t882 () (tptp.hAPP @t868 @t109)) % 6.43/6.68 (define @t883 () (tptp.hAPP @t123 @t731)) % 6.43/6.68 (define @t884 () (tptp.c_Map_Orestrict__map @t8 @t47 (tptp.hAPP @t698 @t64) @t283)) % 6.43/6.68 (define @t885 () (not @t741)) % 6.43/6.68 (define @t886 () (tptp.hAPP @t67 (tptp.hAPP @t871 @t530))) % 6.43/6.68 (define @t887 () (tptp.c_Finite__Set_Ofun__left__comm @t8 @t47 @t2)) % 6.43/6.68 (define @t888 () (@list @t315 @t61 @t51 @t2 @t47 @t8)) % 6.43/6.68 (define @t889 () (tptp.hAPP @t123 @t1)) % 6.43/6.68 (define @t890 () (tptp.hAPP @t889 @t51)) % 6.43/6.68 (define @t891 () (=> (not @t517) (= @t890 @t315))) % 6.43/6.68 (define @t892 () (=> @t517 (= @t890 @t859))) % 6.43/6.68 (define @t893 () (tptp.c_Big__Operators_Ocomm__monoid__big @t8 @t47 @t2 @t315 @t123)) % 6.43/6.68 (define @t894 () (@list @t1 @t51 @t123 @t315 @t2 @t47 @t8)) % 6.43/6.68 (define @t895 () (tptp.hAPP @t795 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t530))) % 6.43/6.68 (define @t896 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t51)) % 6.43/6.68 (define @t897 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t47)) % 6.43/6.68 (define @t898 () (tptp.c_COMBB @t47 @t677 @t8)) % 6.43/6.68 (define @t899 () (tptp.c_Finite__Set_Ofold @t8 @t47 (tptp.hAPP (tptp.hAPP @t898 @t897) @t2))) % 6.43/6.68 (define @t900 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t47)) % 6.43/6.68 (define @t901 () (tptp.hAPP @t900 @t51)) % 6.43/6.68 (define @t902 () (tptp.hAPP @t901 @t2)) % 6.43/6.68 (define @t903 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t47)) % 6.43/6.68 (define @t904 () (@list @t2 @t51 @t8 @t47)) % 6.43/6.68 (define @t905 () (tptp.c_Option_Ooption_ONone @t47)) % 6.43/6.68 (define @t906 () (tptp.hAPP @t739 @t905)) % 6.43/6.68 (define @t907 () (tptp.hAPP @t719 @t1)) % 6.43/6.68 (define @t908 () (tptp.hAPP @t907 @t51)) % 6.43/6.68 (define @t909 () (tptp.c_Orderings_Oord__class_Oless @t47)) % 6.43/6.68 (define @t910 () (tptp.class_Groups_Ocomm__monoid__add @t47)) % 6.43/6.68 (define @t911 () (@list @t1 @t2 @t51 @t8 @t47)) % 6.43/6.68 (define @t912 () (tptp.c_Groups_Oplus__class_Oplus @t47)) % 6.43/6.68 (define @t913 () (tptp.hAPP @t912 @t245)) % 6.43/6.68 (define @t914 () (tptp.hAPP @t913 (tptp.hAPP @t907 @t530))) % 6.43/6.68 (define @t915 () (@list @t1 @t61 @t51 @t8 @t47)) % 6.43/6.68 (define @t916 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t48)) % 6.43/6.68 (define @t917 () (tptp.hAPP @t916 @t51)) % 6.43/6.68 (define @t918 () (tptp.hAPP @t917 @t77)) % 6.43/6.68 (define @t919 () (tptp.hBOOL (tptp.hAPP @t918 @t109))) % 6.43/6.68 (define @t920 () (tptp.hAPP @t77 @t13)) % 6.43/6.68 (define @t921 () (tptp.hAPP @t920 @t109)) % 6.43/6.68 (define @t922 () (tptp.hBOOL @t921)) % 6.43/6.68 (define @t923 () (tptp.tc_fun @t47 @t778)) % 6.43/6.68 (define @t924 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t923)) % 6.43/6.68 (define @t925 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t924 @t51) @t77) @t109) @t18))) % 6.43/6.68 (define @t926 () (tptp.hBOOL (tptp.hAPP @t921 @t18))) % 6.43/6.68 (define @t927 () (tptp.hAPP @t2 @t64)) % 6.43/6.68 (define @t928 () (tptp.c_Groups_Oplus__class_Oplus @t8)) % 6.43/6.68 (define @t929 () (tptp.hAPP @t928 @t38)) % 6.43/6.68 (define @t930 () (tptp.hAPP @t929 @t254)) % 6.43/6.68 (define @t931 () (tptp.hAPP @t928 @t255)) % 6.43/6.68 (define @t932 () (tptp.hAPP @t931 @t38)) % 6.43/6.68 (define @t933 () (tptp.hAPP @t928 @t932)) % 6.43/6.68 (define @t934 () (tptp.hAPP @t933 @t254)) % 6.43/6.68 (define @t935 () (= @t934 (tptp.hAPP @t931 @t930))) % 6.43/6.68 (define @t936 () (tptp.class_Groups_Oab__semigroup__add @t8)) % 6.43/6.68 (define @t937 () (tptp.hAPP @t928 @t13)) % 6.43/6.68 (define @t938 () (tptp.hAPP @t937 @t18)) % 6.43/6.68 (define @t939 () (tptp.hAPP @t937 @t109)) % 6.43/6.68 (define @t940 () (tptp.class_Groups_Ocancel__semigroup__add @t8)) % 6.43/6.68 (define @t941 () (@list @t18 @t109 @t13 @t8)) % 6.43/6.68 (define @t942 () (tptp.hAPP @t928 @t18)) % 6.43/6.68 (define @t943 () (tptp.hAPP @t942 @t13)) % 6.43/6.68 (define @t944 () (tptp.hAPP @t928 @t109)) % 6.43/6.68 (define @t945 () (tptp.hAPP @t944 @t13)) % 6.43/6.68 (define @t946 () (tptp.hAPP @t931 @t254)) % 6.43/6.68 (define @t947 () (=> (= @t932 @t946) @t268)) % 6.43/6.68 (define @t948 () (tptp.hAPP @t928 @t254)) % 6.43/6.68 (define @t949 () (tptp.hAPP @t948 @t255)) % 6.43/6.68 (define @t950 () (tptp.hAPP @t929 @t255)) % 6.43/6.68 (define @t951 () (tptp.hAPP @t77 @t3)) % 6.43/6.68 (define @t952 () (forall @t7 (=> @t234 (tptp.hBOOL (tptp.hAPP @t358 @t951))))) % 6.43/6.68 (define @t953 () (tptp.hBOOL (tptp.hAPP @t358 @t918))) % 6.43/6.68 (define @t954 () (@list @t77 @t47 @t51 @t8)) % 6.43/6.68 (define @t955 () (tptp.hAPP @t948 @t38)) % 6.43/6.68 (define @t956 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t949) @t955))) % 6.43/6.68 (define @t957 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t8)) % 6.43/6.68 (define @t958 () (@list @t38 @t255 @t254 @t8)) % 6.43/6.68 (define @t959 () (tptp.hAPP @t158 @t946)) % 6.43/6.68 (define @t960 () (tptp.hBOOL (tptp.hAPP @t959 @t930))) % 6.43/6.68 (define @t961 () (@list @t38 @t254 @t255 @t8)) % 6.43/6.68 (define @t962 () (tptp.hAPP @t929 @t446)) % 6.43/6.68 (define @t963 () (tptp.hBOOL (tptp.hAPP @t263 @t446))) % 6.43/6.68 (define @t964 () (tptp.class_Groups_Oordered__ab__semigroup__add @t8)) % 6.43/6.68 (define @t965 () (@list @t446 @t254 @t38 @t255 @t8)) % 6.43/6.68 (define @t966 () (tptp.hAPP @t942 @t109)) % 6.43/6.68 (define @t967 () (@list @t109 @t13 @t18 @t8)) % 6.43/6.68 (define @t968 () (tptp.hAPP @t944 @t18)) % 6.43/6.68 (define @t969 () (@list @t109 @t18 @t13 @t8)) % 6.43/6.68 (define @t970 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t949) @t955))) % 6.43/6.68 (define @t971 () (tptp.hAPP @t627 @t946)) % 6.43/6.68 (define @t972 () (tptp.hBOOL (tptp.hAPP @t971 @t930))) % 6.43/6.68 (define @t973 () (tptp.hBOOL (tptp.hAPP @t971 @t962))) % 6.43/6.68 (define @t974 () (tptp.hBOOL (tptp.hAPP @t649 @t446))) % 6.43/6.68 (define @t975 () (=> @t974 @t973)) % 6.43/6.68 (define @t976 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t8)) % 6.43/6.68 (define @t977 () (tptp.hAPP @t557 @t932)) % 6.43/6.68 (define @t978 () (tptp.class_Groups_Ogroup__add @t8)) % 6.43/6.68 (define @t979 () (tptp.hAPP @t557 @t255)) % 6.43/6.68 (define @t980 () (tptp.hAPP @t979 @t38)) % 6.43/6.68 (define @t981 () (@var "V_a_H" $$unsorted)) % 6.43/6.68 (define @t982 () (tptp.hAPP @t65 @t981)) % 6.43/6.68 (define @t983 () (tptp.c_Option_Ooption_ONone @t8)) % 6.43/6.68 (define @t984 () (@list @t981 @t8)) % 6.43/6.68 (define @t985 () (= @t61 @t983)) % 6.43/6.68 (define @t986 () (= @t61 (tptp.hAPP @t65 @t42))) % 6.43/6.68 (define @t987 () (@list @t8 @t61)) % 6.43/6.68 (define @t988 () (@list @t616 @t456 @t47 @t8)) % 6.43/6.68 (define @t989 () (tptp.hAPP (tptp.hAPP @t840 (tptp.hAPP (tptp.hAPP @t770 @t928) @t2)) @t1)) % 6.43/6.68 (define @t990 () (@var "V_xa_2" $$unsorted)) % 6.43/6.68 (define @t991 () (tptp.hAPP (tptp.c_COMBK @t687 @t47) @t983)) % 6.43/6.68 (define @t992 () (=> @t299 (= @t843 @t905))) % 6.43/6.68 (define @t993 () (tptp.hAPP @t912 @t908)) % 6.43/6.68 (define @t994 () (tptp.c_COMBS @t8 @t47 @t47)) % 6.43/6.68 (define @t995 () (@list @t356 @t1 @t51 @t8 @t47)) % 6.43/6.68 (define @t996 () (tptp.hAPP (tptp.c_COMBK @t693 @t8) @t905)) % 6.43/6.68 (define @t997 () (@list @t47 @t8)) % 6.43/6.68 (define @t998 () (tptp.c_Map_Odom @t8 @t47 @t2)) % 6.43/6.68 (define @t999 () (@list @t2 @t47 @t8)) % 6.43/6.68 (define @t1000 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t1001 () (tptp.hAPP @t577 @t60)) % 6.43/6.68 (define @t1002 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t40)))) % 6.43/6.68 (define @t1003 () (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom)) % 6.43/6.68 (define @t1004 () (= @t41 @t1003)) % 6.43/6.68 (define @t1005 () (not @t1004)) % 6.43/6.68 (define @t1006 () (@list @t40)) % 6.43/6.68 (define @t1007 () (forall @t1006 (=> @t1005 @t1002))) % 6.43/6.68 (define @t1008 () (tptp.hAPP @t795 @t896)) % 6.43/6.68 (define @t1009 () (tptp.hAPP @t907 @t98)) % 6.43/6.68 (define @t1010 () (tptp.hAPP @t912 @t80)) % 6.43/6.68 (define @t1011 () (tptp.hAPP @t993 (tptp.hAPP @t907 @t77))) % 6.43/6.68 (define @t1012 () (tptp.hAPP @t907 @t195)) % 6.43/6.68 (define @t1013 () (@list @t1 @t77 @t51 @t8 @t47)) % 6.43/6.68 (define @t1014 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t98)) % 6.43/6.68 (define @t1015 () (=> @t58 (= @t1014 @t1008))) % 6.43/6.68 (define @t1016 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t77)) % 6.43/6.68 (define @t1017 () (tptp.hAPP (tptp.hAPP @t745 @t896) @t1016)) % 6.43/6.68 (define @t1018 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t195)) % 6.43/6.68 (define @t1019 () (= @t1018 @t1017)) % 6.43/6.68 (define @t1020 () (@list @t61 @t1 @t51 @t8 @t47)) % 6.43/6.68 (define @t1021 () (= @t1012 @t1011)) % 6.43/6.68 (define @t1022 () (tptp.hAPP @t720 @t731)) % 6.43/6.68 (define @t1023 () (tptp.hAPP @t688 @t2)) % 6.43/6.68 (define @t1024 () (tptp.c_Map_Odom @t47 @t8 (tptp.hAPP (tptp.hAPP @t1023 @t61) @t64))) % 6.43/6.68 (define @t1025 () (= @t64 @t983)) % 6.43/6.68 (define @t1026 () (@var "B_v" $$unsorted)) % 6.43/6.68 (define @t1027 () (@list @t1026)) % 6.43/6.68 (define @t1028 () (tptp.c_COMBC @t47 @t55 @t55)) % 6.43/6.68 (define @t1029 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t47 @t55)) % 6.43/6.68 (define @t1030 () (tptp.hAPP @t1029 @t51)) % 6.43/6.68 (define @t1031 () (tptp.hBOOL (tptp.hAPP @t322 @t920))) % 6.43/6.68 (define @t1032 () (@list @t77 @t109 @t47 @t51 @t13 @t8)) % 6.43/6.68 (define @t1033 () (@var "V_M_2" $$unsorted)) % 6.43/6.68 (define @t1034 () (@var "V_i_2" $$unsorted)) % 6.43/6.68 (define @t1035 () (tptp.hAPP @t1033 @t1034)) % 6.43/6.68 (define @t1036 () (tptp.hAPP @t154 @t1034)) % 6.43/6.68 (define @t1037 () (tptp.hBOOL (tptp.hAPP @t1036 @t51))) % 6.43/6.68 (define @t1038 () (@list @t1033 @t51 @t1034 @t8 @t47)) % 6.43/6.68 (define @t1039 () (tptp.c_Map_Oran @t47 @t8 @t337)) % 6.43/6.68 (define @t1040 () (tptp.hAPP @t52 @t1033)) % 6.43/6.68 (define @t1041 () (@list @t1033 @t8 @t51 @t47)) % 6.43/6.68 (define @t1042 () (tptp.hAPP @t1030 @t77)) % 6.43/6.68 (define @t1043 () (tptp.hAPP @t82 @t51)) % 6.43/6.68 (define @t1044 () (@list @t77 @t51 @t13 @t8 @t47)) % 6.43/6.68 (define @t1045 () (tptp.hAPP @t916 @t225)) % 6.43/6.68 (define @t1046 () (tptp.hAPP @t1045 @t77)) % 6.43/6.68 (define @t1047 () (tptp.hAPP @t305 @t1046)) % 6.43/6.68 (define @t1048 () (tptp.c_COMBB @t48 @t48 @t8)) % 6.43/6.68 (define @t1049 () (tptp.hAPP @t1045 (tptp.hAPP (tptp.hAPP @t1048 @t305) @t77))) % 6.43/6.68 (define @t1050 () (= @t225 @t56)) % 6.43/6.68 (define @t1051 () (not @t1050)) % 6.43/6.68 (define @t1052 () (@list @t77 @t51 @t47 @t8 @t225)) % 6.43/6.68 (define @t1053 () (tptp.hAPP (tptp.hAPP @t304 (tptp.hAPP @t1045 @t51)) @t77)) % 6.43/6.68 (define @t1054 () (tptp.c_COMBB @t48 @t716 @t8)) % 6.43/6.68 (define @t1055 () (tptp.hAPP (tptp.hAPP @t1054 @t304) @t51)) % 6.43/6.68 (define @t1056 () (tptp.hAPP @t1045 (tptp.hAPP (tptp.hAPP @t717 @t1055) @t77))) % 6.43/6.68 (define @t1057 () (tptp.hAPP @t951 @t109)) % 6.43/6.68 (define @t1058 () (tptp.hBOOL @t1057)) % 6.43/6.68 (define @t1059 () (@list @t109 @t77 @t51 @t47 @t8)) % 6.43/6.68 (define @t1060 () (tptp.tc_fun @t47 @t55)) % 6.43/6.68 (define @t1061 () (tptp.c_COMBB @t48 (tptp.tc_fun @t1060 @t55) @t106)) % 6.43/6.68 (define @t1062 () (tptp.c_COMBC @t106 @t1060 @t55)) % 6.43/6.68 (define @t1063 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t106 @t55)) % 6.43/6.68 (define @t1064 () (tptp.hAPP @t1063 @t51)) % 6.43/6.68 (define @t1065 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t106 @t48) @t51) @t77)) % 6.43/6.68 (define @t1066 () (@list @t225 @t77 @t51 @t106 @t8 @t47)) % 6.43/6.68 (define @t1067 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t47 @t778)) % 6.43/6.68 (define @t1068 () (tptp.hAPP (tptp.hAPP @t1067 @t51) @t77)) % 6.43/6.68 (define @t1069 () (tptp.tc_fun @t106 @t55)) % 6.43/6.68 (define @t1070 () (tptp.c_COMBB @t778 (tptp.tc_fun @t1069 @t55) @t47)) % 6.43/6.68 (define @t1071 () (tptp.c_COMBC @t47 @t1069 @t55)) % 6.43/6.68 (define @t1072 () (@list @t225 @t77 @t106 @t51 @t8 @t47)) % 6.43/6.68 (define @t1073 () (tptp.hBOOL (tptp.hAPP @t1057 @t18))) % 6.43/6.68 (define @t1074 () (@list @t18 @t109 @t77 @t51 @t106 @t47 @t8)) % 6.43/6.68 (define @t1075 () (tptp.hBOOL (tptp.hAPP @t188 @t951))) % 6.43/6.68 (define @t1076 () (@list @t77 @t51 @t47 @t109 @t8)) % 6.43/6.68 (define @t1077 () (forall @t7 (=> @t317 (= @t951 @t56)))) % 6.43/6.68 (define @t1078 () (@list @t77 @t51 @t8 @t47)) % 6.43/6.68 (define @t1079 () (tptp.c_COMBK @t48 @t8)) % 6.43/6.68 (define @t1080 () (tptp.hAPP @t1079 @t18)) % 6.43/6.68 (define @t1081 () (tptp.hAPP @t917 @t1080)) % 6.43/6.68 (define @t1082 () (tptp.c_COMBK @t55 @t47)) % 6.43/6.68 (define @t1083 () (@list @t77 @t51 @t47 @t8)) % 6.43/6.68 (define @t1084 () (tptp.hAPP @t51 @t3)) % 6.43/6.68 (define @t1085 () (@var "V_I_2" $$unsorted)) % 6.43/6.68 (define @t1086 () (tptp.hBOOL (tptp.hAPP @t316 @t1085))) % 6.43/6.68 (define @t1087 () (tptp.hAPP @t1029 @t1085)) % 6.43/6.68 (define @t1088 () (tptp.hAPP @t1087 @t51)) % 6.43/6.68 (define @t1089 () (@list @t77 @t51 @t1085 @t47 @t8)) % 6.43/6.68 (define @t1090 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t47 @t55 @t106) @t77) @t2)) % 6.43/6.68 (define @t1091 () (tptp.hAPP (tptp.c_Set_Oimage @t106 @t47 @t2) @t51)) % 6.43/6.68 (define @t1092 () (@list @t77 @t51 @t2 @t106 @t8 @t47)) % 6.43/6.68 (define @t1093 () (tptp.c_COMBB @t48 @t55 @t106)) % 6.43/6.68 (define @t1094 () (tptp.hAPP (tptp.c_Set_Oimage @t47 @t106 @t2) @t51)) % 6.43/6.68 (define @t1095 () (tptp.hAPP @t1063 @t1094)) % 6.43/6.68 (define @t1096 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t106 @t55 @t47) @t77) @t2)) % 6.43/6.68 (define @t1097 () (@list @t2 @t77 @t106 @t51 @t8 @t47)) % 6.43/6.68 (define @t1098 () (tptp.c_COMBB @t55 @t611 @t47)) % 6.43/6.68 (define @t1099 () (tptp.hAPP (tptp.hAPP @t1098 @t193) @t51)) % 6.43/6.68 (define @t1100 () (tptp.c_COMBS @t47 @t55 @t55)) % 6.43/6.68 (define @t1101 () (tptp.hAPP (tptp.hAPP @t1100 @t1099) @t77)) % 6.43/6.68 (define @t1102 () (@list @t77 @t51 @t1085 @t8 @t47)) % 6.43/6.68 (define @t1103 () (tptp.hAPP @t1029 @t77)) % 6.43/6.68 (define @t1104 () (@list @t1033 @t77 @t51 @t8 @t47)) % 6.43/6.68 (define @t1105 () (tptp.hAPP @t1029 @t225)) % 6.43/6.68 (define @t1106 () (tptp.hAPP @t730 (tptp.hAPP @t1105 @t77))) % 6.43/6.68 (define @t1107 () (tptp.c_COMBB @t55 @t55 @t47)) % 6.43/6.68 (define @t1108 () (tptp.hAPP @t1105 (tptp.hAPP (tptp.hAPP @t1107 @t730) @t77))) % 6.43/6.68 (define @t1109 () (@list @t77 @t51 @t225 @t8 @t47)) % 6.43/6.68 (define @t1110 () (tptp.hAPP @t1105 @t51)) % 6.43/6.68 (define @t1111 () (tptp.hAPP (tptp.hAPP @t729 @t1110) @t77)) % 6.43/6.68 (define @t1112 () (tptp.hAPP (tptp.hAPP @t1098 @t729) @t51)) % 6.43/6.68 (define @t1113 () (tptp.hAPP @t1105 (tptp.hAPP (tptp.hAPP @t1028 @t1112) @t77))) % 6.43/6.68 (define @t1114 () (@list @t77 @t225 @t47 @t51 @t8)) % 6.43/6.68 (define @t1115 () (@list @t51 @t1085 @t47 @t77 @t8)) % 6.43/6.68 (define @t1116 () (@list @t77 @t51 @t225 @t47 @t8)) % 6.43/6.68 (define @t1117 () (tptp.c_COMBB @t55 @t55 @t106)) % 6.43/6.68 (define @t1118 () (tptp.hAPP (tptp.c_COMBB @t611 (tptp.tc_fun @t1069 @t1069) @t47) @t1117)) % 6.43/6.68 (define @t1119 () (tptp.c_COMBC @t47 @t1069 @t1069)) % 6.43/6.68 (define @t1120 () (@var "V_J_2" $$unsorted)) % 6.43/6.68 (define @t1121 () (tptp.hAPP @t1063 @t1120)) % 6.43/6.68 (define @t1122 () (tptp.c_COMBB @t1069 @t55 @t47)) % 6.43/6.68 (define @t1123 () (@list @t77 @t1120 @t106 @t51 @t1085 @t47 @t8)) % 6.43/6.68 (define @t1124 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t47 @t8)) % 6.43/6.68 (define @t1125 () (tptp.hAPP @t1124 @t51)) % 6.43/6.68 (define @t1126 () (tptp.c_COMBB @t74 @t8 @t106)) % 6.43/6.68 (define @t1127 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t106 @t8) @t77)) % 6.43/6.68 (define @t1128 () (tptp.c_COMBB @t779 @t8 @t47)) % 6.43/6.68 (define @t1129 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t8)) % 6.43/6.68 (define @t1130 () (@list @t2 @t77 @t106 @t51 @t47 @t8)) % 6.43/6.68 (define @t1131 () (tptp.hAPP @t775 @t61)) % 6.43/6.68 (define @t1132 () (@list @t61 @t2 @t51 @t106 @t47 @t8)) % 6.43/6.68 (define @t1133 () (tptp.hAPP (tptp.hAPP @t528 @t1110) @t77)) % 6.43/6.68 (define @t1134 () (tptp.hAPP @t1105 (tptp.hAPP (tptp.hAPP @t1028 (tptp.hAPP (tptp.hAPP @t1098 @t528) @t51)) @t77))) % 6.43/6.68 (define @t1135 () (@list @t8 @t47)) % 6.43/6.68 (define @t1136 () (tptp.hAPP (tptp.hAPP @t1048 @t82) @t77)) % 6.43/6.68 (define @t1137 () (@var "V_u_2" $$unsorted)) % 6.43/6.68 (define @t1138 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t1137) @t51))) % 6.43/6.68 (define @t1139 () (@list @t77 @t13 @t47 @t51 @t1137 @t8)) % 6.43/6.68 (define @t1140 () (@list @t77 @t47 @t51 @t13 @t8)) % 6.43/6.68 (define @t1141 () (tptp.hAPP (tptp.hAPP @t916 @t1085) @t51)) % 6.43/6.68 (define @t1142 () (tptp.hAPP @t51 @t690)) % 6.43/6.68 (define @t1143 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t690) @t1085))) % 6.43/6.68 (define @t1144 () (@list @t51 @t47 @t1085 @t690 @t8)) % 6.43/6.68 (define @t1145 () (tptp.hAPP @t1045 @t1136)) % 6.43/6.68 (define @t1146 () (tptp.hAPP @t82 @t1046)) % 6.43/6.68 (define @t1147 () (tptp.hAPP @t82 @t49)) % 6.43/6.68 (define @t1148 () (@list @t77 @t13 @t47 @t8 @t225)) % 6.43/6.68 (define @t1149 () (tptp.hAPP @t1033 @t3)) % 6.43/6.68 (define @t1150 () (and @t1129 @t214)) % 6.43/6.68 (define @t1151 () (tptp.hAPP (tptp.hAPP @t745 @t3) @t42)) % 6.43/6.68 (define @t1152 () (@var "V_m" $$unsorted)) % 6.43/6.68 (define @t1153 () (@var "V_n" $$unsorted)) % 6.43/6.68 (define @t1154 () (tptp.hAPP @t1000 @t1152)) % 6.43/6.68 (define @t1155 () (tptp.hAPP @t1154 @t1153)) % 6.43/6.68 (define @t1156 () (@list @t1153 @t1152)) % 6.43/6.68 (define @t1157 () (tptp.hAPP @t1000 @t1153)) % 6.43/6.68 (define @t1158 () (tptp.hAPP @t1157 @t1152)) % 6.43/6.68 (define @t1159 () (tptp.hAPP @t864 @t1158)) % 6.43/6.68 (define @t1160 () (@list @t1152 @t1153)) % 6.43/6.68 (define @t1161 () (@var "V_k" $$unsorted)) % 6.43/6.68 (define @t1162 () (@var "V_j" $$unsorted)) % 6.43/6.68 (define @t1163 () (tptp.hAPP @t1000 @t1162)) % 6.43/6.68 (define @t1164 () (tptp.hAPP @t1163 @t1161)) % 6.43/6.68 (define @t1165 () (@var "V_i" $$unsorted)) % 6.43/6.68 (define @t1166 () (tptp.hAPP @t864 @t1165)) % 6.43/6.68 (define @t1167 () (tptp.hAPP @t1166 @t1162)) % 6.43/6.68 (define @t1168 () (tptp.hAPP (tptp.hAPP @t864 @t1167) @t1161)) % 6.43/6.68 (define @t1169 () (@list @t1161 @t1162 @t1165)) % 6.43/6.68 (define @t1170 () (tptp.hAPP @t864 @t1152)) % 6.43/6.68 (define @t1171 () (tptp.hAPP @t1170 @t1153)) % 6.43/6.68 (define @t1172 () (tptp.hAPP @t1000 @t1161)) % 6.43/6.68 (define @t1173 () (tptp.hAPP @t1172 @t1153)) % 6.43/6.68 (define @t1174 () (tptp.hAPP @t1172 @t1152)) % 6.43/6.68 (define @t1175 () (@list @t1153 @t1152 @t1161)) % 6.43/6.68 (define @t1176 () (tptp.hAPP @t1157 @t1161)) % 6.43/6.68 (define @t1177 () (tptp.hAPP @t1154 @t1161)) % 6.43/6.68 (define @t1178 () (tptp.hAPP @t864 @t1177)) % 6.43/6.68 (define @t1179 () (@list @t1153 @t1161 @t1152)) % 6.43/6.68 (define @t1180 () (tptp.hAPP @t1000 @t1165)) % 6.43/6.68 (define @t1181 () (tptp.hAPP @t1180 @t1161)) % 6.43/6.68 (define @t1182 () (tptp.hAPP @t864 @t1162)) % 6.43/6.68 (define @t1183 () (tptp.hAPP @t1182 @t1161)) % 6.43/6.68 (define @t1184 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t1185 () (tptp.hAPP @t1184 @t1161)) % 6.43/6.68 (define @t1186 () (tptp.hBOOL (tptp.hAPP @t1185 @t1162))) % 6.43/6.68 (define @t1187 () (@list @t1165 @t1162 @t1161)) % 6.43/6.68 (define @t1188 () (tptp.hAPP @t1000 @t1034)) % 6.43/6.68 (define @t1189 () (tptp.hAPP @t1188 @t690)) % 6.43/6.68 (define @t1190 () (@var "V_j_2" $$unsorted)) % 6.43/6.68 (define @t1191 () (tptp.hAPP @t1184 @t1190)) % 6.43/6.68 (define @t1192 () (tptp.hAPP @t864 @t1190)) % 6.43/6.68 (define @t1193 () (tptp.hAPP @t1192 @t690)) % 6.43/6.68 (define @t1194 () (tptp.hAPP @t1184 @t1152)) % 6.43/6.68 (define @t1195 () (tptp.hBOOL (tptp.hAPP @t1185 @t1153))) % 6.43/6.68 (define @t1196 () (@list @t1152 @t1153 @t1161)) % 6.43/6.68 (define @t1197 () (tptp.hBOOL (tptp.hAPP @t1194 @t1153))) % 6.43/6.68 (define @t1198 () (= @t1152 @t1153)) % 6.43/6.68 (define @t1199 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t1200 () (tptp.hAPP @t1199 @t1152)) % 6.43/6.68 (define @t1201 () (tptp.hBOOL (tptp.hAPP @t1200 @t1153))) % 6.43/6.68 (define @t1202 () (not @t1198)) % 6.43/6.68 (define @t1203 () (= @t337 @t692)) % 6.43/6.68 (define @t1204 () (tptp.hAPP @t1199 @t337)) % 6.43/6.68 (define @t1205 () (tptp.hBOOL (tptp.hAPP @t1204 @t692))) % 6.43/6.68 (define @t1206 () (or @t1205 @t1203)) % 6.43/6.68 (define @t1207 () (tptp.hAPP @t1184 @t337)) % 6.43/6.68 (define @t1208 () (tptp.hBOOL (tptp.hAPP @t1207 @t692))) % 6.43/6.68 (define @t1209 () (@list @t692 @t337)) % 6.43/6.68 (define @t1210 () (not @t1203)) % 6.43/6.68 (define @t1211 () (tptp.hAPP @t1184 @t1153)) % 6.43/6.68 (define @t1212 () (tptp.hBOOL (tptp.hAPP @t1211 @t1152))) % 6.43/6.68 (define @t1213 () (tptp.hAPP @t1184 @t1165)) % 6.43/6.68 (define @t1214 () (tptp.hAPP @t1184 @t1162)) % 6.43/6.68 (define @t1215 () (tptp.hBOOL (tptp.hAPP @t1213 @t1162))) % 6.43/6.68 (define @t1216 () (@list @t1153)) % 6.43/6.68 (define @t1217 () (tptp.hAPP @t1000 @t132)) % 6.43/6.68 (define @t1218 () (tptp.hAPP @t1000 @t210)) % 6.43/6.68 (define @t1219 () (tptp.hAPP @t1218 @t272)) % 6.43/6.68 (define @t1220 () (@list @t272 @t210 @t132)) % 6.43/6.68 (define @t1221 () (@list @t1161 @t1153 @t1152)) % 6.43/6.68 (define @t1222 () (tptp.hAPP @t1000 @t690)) % 6.43/6.68 (define @t1223 () (tptp.hAPP @t1222 @t692)) % 6.43/6.68 (define @t1224 () (tptp.hAPP @t1222 @t337)) % 6.43/6.68 (define @t1225 () (@list @t692 @t337 @t690)) % 6.43/6.68 (define @t1226 () (tptp.hAPP @t1000 @t692)) % 6.43/6.68 (define @t1227 () (tptp.hAPP @t1226 @t690)) % 6.43/6.68 (define @t1228 () (tptp.hAPP @t1000 @t337)) % 6.43/6.68 (define @t1229 () (tptp.hAPP @t1228 @t690)) % 6.43/6.68 (define @t1230 () (@list @t692 @t690 @t337)) % 6.43/6.68 (define @t1231 () (@var "B_k" $$unsorted)) % 6.43/6.68 (define @t1232 () (tptp.hAPP @t1228 @t1231)) % 6.43/6.68 (define @t1233 () (@list @t1231)) % 6.43/6.68 (define @t1234 () (tptp.hAPP @t1163 @t1152)) % 6.43/6.68 (define @t1235 () (@list @t1152 @t1162 @t1165)) % 6.43/6.68 (define @t1236 () (tptp.hAPP @t1154 @t1162)) % 6.43/6.68 (define @t1237 () (tptp.hAPP @t1184 @t1181)) % 6.43/6.68 (define @t1238 () (@var "V_l" $$unsorted)) % 6.43/6.68 (define @t1239 () (tptp.hAPP @t1163 @t1238)) % 6.43/6.68 (define @t1240 () (tptp.hBOOL (tptp.hAPP @t1185 @t1238))) % 6.43/6.68 (define @t1241 () (@list @t1238 @t1161 @t1162 @t1165)) % 6.43/6.68 (define @t1242 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1177) @t1153))) % 6.43/6.68 (define @t1243 () (tptp.hAPP @t1180 @t1162)) % 6.43/6.68 (define @t1244 () (tptp.hAPP @t1199 @t1243)) % 6.43/6.68 (define @t1245 () (@list @t1162 @t1165)) % 6.43/6.68 (define @t1246 () (tptp.hAPP @t1163 @t1165)) % 6.43/6.68 (define @t1247 () (@list @t1165 @t1162)) % 6.43/6.68 (define @t1248 () (tptp.hAPP @t1199 @t1165)) % 6.43/6.68 (define @t1249 () (tptp.hBOOL (tptp.hAPP @t1248 @t1162))) % 6.43/6.68 (define @t1250 () (tptp.hAPP @t1199 @t1181)) % 6.43/6.68 (define @t1251 () (tptp.hAPP @t1199 @t1161)) % 6.43/6.68 (define @t1252 () (tptp.hBOOL (tptp.hAPP @t1251 @t1238))) % 6.43/6.68 (define @t1253 () (tptp.hAPP @t1199 @t1162)) % 6.43/6.68 (define @t1254 () (tptp.hBOOL (tptp.hAPP @t1253 @t1161))) % 6.43/6.68 (define @t1255 () (tptp.hAPP @t864 @t1238)) % 6.43/6.68 (define @t1256 () (tptp.hAPP @t1255 @t1152)) % 6.43/6.68 (define @t1257 () (tptp.hAPP @t1255 @t1153)) % 6.43/6.68 (define @t1258 () (@list @t1238 @t1153 @t1152)) % 6.43/6.68 (define @t1259 () (@list @t254 @t38 @t255)) % 6.43/6.68 (define @t1260 () (tptp.hAPP @t864 @t692)) % 6.43/6.68 (define @t1261 () (tptp.hAPP @t1260 @t690)) % 6.43/6.68 (define @t1262 () (tptp.hAPP @t864 @t337)) % 6.43/6.68 (define @t1263 () (tptp.hAPP @t1262 @t690)) % 6.43/6.68 (define @t1264 () (tptp.hAPP @t1184 @t690)) % 6.43/6.68 (define @t1265 () (tptp.hBOOL (tptp.hAPP @t1264 @t692))) % 6.43/6.68 (define @t1266 () (tptp.hBOOL (tptp.hAPP @t1264 @t337))) % 6.43/6.68 (define @t1267 () (tptp.hAPP @t864 @t1153)) % 6.43/6.68 (define @t1268 () (tptp.hAPP @t1267 @t1165)) % 6.43/6.68 (define @t1269 () (@list @t1153 @t1165)) % 6.43/6.68 (define @t1270 () (tptp.hAPP @t1199 @t1034)) % 6.43/6.68 (define @t1271 () (@list @t690 @t1190 @t1034)) % 6.43/6.68 (define @t1272 () (= (tptp.hAPP @t1157 @t1171) @t1152)) % 6.43/6.68 (define @t1273 () (not @t1201)) % 6.43/6.68 (define @t1274 () (tptp.hAPP (tptp.hAPP @t1000 @t1183) @t1165)) % 6.43/6.68 (define @t1275 () (tptp.hAPP (tptp.hAPP @t864 @t1246) @t1161)) % 6.43/6.68 (define @t1276 () (tptp.hAPP @t1180 @t1183)) % 6.43/6.68 (define @t1277 () (tptp.hAPP (tptp.hAPP @t864 @t1243) @t1161)) % 6.43/6.68 (define @t1278 () (tptp.hAPP @t1192 @t1034)) % 6.43/6.68 (define @t1279 () (tptp.hAPP @t1184 @t1034)) % 6.43/6.68 (define @t1280 () (tptp.hBOOL (tptp.hAPP @t1279 @t1190))) % 6.43/6.68 (define @t1281 () (tptp.hAPP @t1184 @t132)) % 6.43/6.68 (define @t1282 () (tptp.hBOOL (tptp.hAPP @t1281 @t1219))) % 6.43/6.68 (define @t1283 () (tptp.hBOOL (tptp.hAPP @t1281 @t210))) % 6.43/6.68 (define @t1284 () (@list @t210 @t272 @t132)) % 6.43/6.68 (define @t1285 () (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t51)) % 6.43/6.68 (define @t1286 () (@list @t476)) % 6.43/6.68 (define @t1287 () (forall @t1286 (=> @t480 (tptp.hBOOL (tptp.hAPP @t358 (tptp.hAPP @t77 @t476)))))) % 6.43/6.68 (define @t1288 () (tptp.c_Groups_Ouminus__class_Ouminus @t55)) % 6.43/6.68 (define @t1289 () (tptp.hAPP @t1288 @t129)) % 6.43/6.68 (define @t1290 () (tptp.hAPP (tptp.hAPP @t694 @t2) @t61)) % 6.43/6.68 (define @t1291 () (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t225)) % 6.43/6.68 (define @t1292 () (tptp.hAPP @t154 @t51)) % 6.43/6.68 (define @t1293 () (tptp.hBOOL (tptp.hAPP @t1292 @t1291))) % 6.43/6.68 (define @t1294 () (tptp.hBOOL (tptp.hAPP @t1292 @t157))) % 6.43/6.68 (define @t1295 () (tptp.c_member @t55)) % 6.43/6.68 (define @t1296 () (tptp.hAPP @t1295 @t157)) % 6.43/6.68 (define @t1297 () (tptp.hBOOL (tptp.hAPP @t1296 @t225))) % 6.43/6.68 (define @t1298 () (tptp.hAPP @t1288 @t51)) % 6.43/6.68 (define @t1299 () (tptp.hBOOL (tptp.hAPP @t161 @t1298))) % 6.43/6.68 (define @t1300 () (@list @t51 @t18 @t8)) % 6.43/6.68 (define @t1301 () (tptp.hAPP @t136 @t692)) % 6.43/6.68 (define @t1302 () (tptp.hBOOL (tptp.hAPP @t1301 @t337))) % 6.43/6.68 (define @t1303 () (tptp.hAPP @t1199 @t692)) % 6.43/6.68 (define @t1304 () (tptp.hBOOL (tptp.hAPP @t1303 @t337))) % 6.43/6.68 (define @t1305 () (@var "V_t" $$unsorted)) % 6.43/6.68 (define @t1306 () (@var "V_s" $$unsorted)) % 6.43/6.68 (define @t1307 () (tptp.hAPP @t1199 @t1153)) % 6.43/6.68 (define @t1308 () (tptp.hBOOL (tptp.hAPP @t1307 @t1152))) % 6.43/6.68 (define @t1309 () (tptp.hAPP @t1199 @t132)) % 6.43/6.68 (define @t1310 () (tptp.hBOOL (tptp.hAPP @t1309 @t210))) % 6.43/6.68 (define @t1311 () (@list @t210 @t132)) % 6.43/6.68 (define @t1312 () (tptp.c_Groups_Ouminus__class_Ouminus @t8)) % 6.43/6.68 (define @t1313 () (tptp.hAPP @t1312 @t109)) % 6.43/6.68 (define @t1314 () (tptp.hAPP @t1312 @t13)) % 6.43/6.68 (define @t1315 () (= @t13 @t1313)) % 6.43/6.68 (define @t1316 () (tptp.hAPP @t1312 @t255)) % 6.43/6.68 (define @t1317 () (tptp.hAPP @t1288 @t77)) % 6.43/6.68 (define @t1318 () (tptp.hAPP @t1312 @t64)) % 6.43/6.68 (define @t1319 () (tptp.hAPP @t1312 @t61)) % 6.43/6.68 (define @t1320 () (tptp.class_Lattices_Oboolean__algebra @t8)) % 6.43/6.68 (define @t1321 () (tptp.hAPP @t1312 @t132)) % 6.43/6.68 (define @t1322 () (tptp.hAPP @t1312 @t210)) % 6.43/6.68 (define @t1323 () (tptp.hAPP @t158 @t109)) % 6.43/6.68 (define @t1324 () (tptp.hAPP @t158 @t1313)) % 6.43/6.68 (define @t1325 () (tptp.hAPP @t158 @t1314)) % 6.43/6.68 (define @t1326 () (tptp.hBOOL (tptp.hAPP @t1325 @t109))) % 6.43/6.68 (define @t1327 () (tptp.hAPP @t1312 @t38)) % 6.43/6.68 (define @t1328 () (tptp.hAPP @t627 @t109)) % 6.43/6.68 (define @t1329 () (tptp.hAPP @t627 @t1313)) % 6.43/6.68 (define @t1330 () (tptp.hAPP @t627 @t1314)) % 6.43/6.68 (define @t1331 () (tptp.hBOOL (tptp.hAPP @t1330 @t109))) % 6.43/6.68 (define @t1332 () (tptp.hAPP @t928 @t1316)) % 6.43/6.68 (define @t1333 () (tptp.hAPP @t1312 @t932)) % 6.43/6.68 (define @t1334 () (tptp.hAPP @t557 @t38)) % 6.43/6.68 (define @t1335 () (tptp.hAPP @t1334 @t255)) % 6.43/6.68 (define @t1336 () (tptp.tc_fun @t55 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1337 () (tptp.c_Orderings_Obot__class_Obot @t1336)) % 6.43/6.68 (define @t1338 () (tptp.c_Finite__Set_Ofinite @t55)) % 6.43/6.68 (define @t1339 () (tptp.hBOOL (tptp.hAPP @t1338 @t51))) % 6.43/6.68 (define @t1340 () (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t51)) % 6.43/6.68 (define @t1341 () (tptp.hBOOL (tptp.hAPP @t359 @t1340))) % 6.43/6.68 (define @t1342 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1295 @t77) @t51))) % 6.43/6.68 (define @t1343 () (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t77)) % 6.43/6.68 (define @t1344 () (tptp.c_Orderings_Oord__class_Oless__eq @t1336)) % 6.43/6.68 (define @t1345 () (tptp.hAPP @t1344 @t51)) % 6.43/6.68 (define @t1346 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1336)) % 6.43/6.68 (define @t1347 () (tptp.hAPP (tptp.hAPP @t1346 @t51) @t77)) % 6.43/6.68 (define @t1348 () (tptp.c_Set_Oinsert @t55)) % 6.43/6.68 (define @t1349 () (tptp.hAPP (tptp.hAPP @t1348 @t51) (tptp.hAPP (tptp.hAPP @t1348 @t77) @t1337))) % 6.43/6.68 (define @t1350 () (tptp.hAPP (tptp.hAPP @t1348 @t13) @t77)) % 6.43/6.68 (define @t1351 () (tptp.c_COMBB @t8 @t8 @t47)) % 6.43/6.68 (define @t1352 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t48 @t55)) % 6.43/6.68 (define @t1353 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t55 @t55)) % 6.43/6.68 (define @t1354 () (tptp.hAPP @t1353 @t77)) % 6.43/6.68 (define @t1355 () (tptp.c_Set_Oimage @t47 @t55 @t77)) % 6.43/6.68 (define @t1356 () (tptp.hAPP @t1355 @t51)) % 6.43/6.68 (define @t1357 () (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t1356)) % 6.43/6.68 (define @t1358 () (@list @t51 @t77 @t47 @t8)) % 6.43/6.68 (define @t1359 () (tptp.c_COMBC @t48 @t1060 @t55)) % 6.43/6.68 (define @t1360 () (tptp.hAPP @t1352 @t51)) % 6.43/6.68 (define @t1361 () (tptp.hAPP @t1360 (tptp.hAPP (tptp.hAPP @t1359 @t1029) @t77))) % 6.43/6.68 (define @t1362 () (tptp.c_Complete__Lattice_OSup__class_OSup @t48 @t51)) % 6.43/6.68 (define @t1363 () (tptp.hAPP (tptp.hAPP @t1029 @t1362) @t77)) % 6.43/6.68 (define @t1364 () (tptp.hAPP @t158 @t3)) % 6.43/6.68 (define @t1365 () (forall @t7 (=> @t234 (tptp.hBOOL (tptp.hAPP @t1364 @t109))))) % 6.43/6.68 (define @t1366 () (tptp.hBOOL (tptp.hAPP @t232 @t392))) % 6.43/6.68 (define @t1367 () (= @t980 (tptp.hAPP @t931 @t1327))) % 6.43/6.68 (define @t1368 () (tptp.hAPP @t745 @t1321)) % 6.43/6.68 (define @t1369 () (tptp.hAPP @t557 @t132)) % 6.43/6.68 (define @t1370 () (tptp.hAPP @t1369 @t210)) % 6.43/6.68 (define @t1371 () (tptp.hAPP @t389 @t1321)) % 6.43/6.68 (define @t1372 () (tptp.hAPP @t729 @t1298)) % 6.43/6.68 (define @t1373 () (tptp.hAPP @t729 @t3)) % 6.43/6.68 (define @t1374 () (tptp.hAPP @t1295 @t3)) % 6.43/6.68 (define @t1375 () (@list @t51 @t225 @t8)) % 6.43/6.68 (define @t1376 () (tptp.hAPP @t193 @t1298)) % 6.43/6.68 (define @t1377 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1336)) % 6.43/6.68 (define @t1378 () (tptp.hAPP (tptp.hAPP @t1377 @t51) @t77)) % 6.43/6.68 (define @t1379 () (tptp.hAPP @t1355 @t225)) % 6.43/6.68 (define @t1380 () (tptp.hAPP (tptp.c_Set_Oimage @t47 @t55 @t51) @t225)) % 6.43/6.68 (define @t1381 () (tptp.hBOOL (tptp.hAPP @t1309 @t1219))) % 6.43/6.68 (define @t1382 () (tptp.hAPP @t928 @t132)) % 6.43/6.68 (define @t1383 () (tptp.class_Rings_Ocomm__ring__1 @t8)) % 6.43/6.68 (define @t1384 () (tptp.c_Orderings_Otop__class_Otop @t8)) % 6.43/6.68 (define @t1385 () (tptp.c_Finite__Set_Ocard @t8)) % 6.43/6.68 (define @t1386 () (tptp.hAPP @t1385 @t51)) % 6.43/6.68 (define @t1387 () (tptp.hAPP @t95 @t56)) % 6.43/6.68 (define @t1388 () (tptp.hAPP @t1385 @t530)) % 6.43/6.68 (define @t1389 () (tptp.c_Set_OCollect @t8)) % 6.43/6.68 (define @t1390 () (tptp.hAPP @t1389 @t136)) % 6.43/6.68 (define @t1391 () (tptp.hAPP @t1288 @t1390)) % 6.43/6.68 (define @t1392 () (tptp.hAPP @t730 @t1390)) % 6.43/6.68 (define @t1393 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t47 @t677) @t8) (tptp.c_If @t47))) % 6.43/6.68 (define @t1394 () (tptp.c_COMBS @t8 @t47 @t677)) % 6.43/6.68 (define @t1395 () (forall @t7 (=> @t234 (tptp.hBOOL (tptp.hAPP @t1323 @t3))))) % 6.43/6.68 (define @t1396 () (@list @t18 @t109 @t51 @t8)) % 6.43/6.68 (define @t1397 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t47)) % 6.43/6.68 (define @t1398 () (tptp.c_Finite__Set_Ofold @t8 @t47 (tptp.hAPP (tptp.hAPP @t898 @t1397) @t2))) % 6.43/6.68 (define @t1399 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t47)) % 6.43/6.68 (define @t1400 () (tptp.hAPP @t1399 @t51)) % 6.43/6.68 (define @t1401 () (tptp.hAPP @t1400 @t2)) % 6.43/6.68 (define @t1402 () (@var "V_u1_2" $$unsorted)) % 6.43/6.68 (define @t1403 () (tptp.hAPP @t618 @t1402)) % 6.43/6.68 (define @t1404 () (@var "V_e2_2" $$unsorted)) % 6.43/6.68 (define @t1405 () (@var "V_e1_2" $$unsorted)) % 6.43/6.68 (define @t1406 () (tptp.hAPP @t154 @t337)) % 6.43/6.68 (define @t1407 () (tptp.c_Orderings_Otop__class_Otop @t55)) % 6.43/6.68 (define @t1408 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t48)) % 6.43/6.68 (define @t1409 () (tptp.hAPP @t1408 @t51)) % 6.43/6.68 (define @t1410 () (tptp.hAPP @t1409 @t77)) % 6.43/6.68 (define @t1411 () (tptp.hBOOL (tptp.hAPP @t1410 @t109))) % 6.43/6.68 (define @t1412 () (@list @t13 @t109 @t77 @t51 @t47 @t8)) % 6.43/6.68 (define @t1413 () (tptp.hBOOL (tptp.hAPP @t338 @t51))) % 6.43/6.68 (define @t1414 () (tptp.hBOOL (tptp.hAPP @t188 @t920))) % 6.43/6.68 (define @t1415 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t47 @t55)) % 6.43/6.68 (define @t1416 () (tptp.hAPP @t1415 @t51)) % 6.43/6.68 (define @t1417 () (tptp.hAPP @t1416 @t77)) % 6.43/6.68 (define @t1418 () (tptp.hBOOL (tptp.hAPP @t188 @t1417))) % 6.43/6.68 (define @t1419 () (@list @t13 @t77 @t51 @t47 @t109 @t8)) % 6.43/6.68 (define @t1420 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t923)) % 6.43/6.68 (define @t1421 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1420 @t51) @t77) @t109) @t18))) % 6.43/6.68 (define @t1422 () (@list @t13 @t18 @t109 @t77 @t51 @t106 @t47 @t8)) % 6.43/6.68 (define @t1423 () (tptp.hAPP (tptp.hAPP @t1408 @t1085) @t51)) % 6.43/6.68 (define @t1424 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1425 () (tptp.hAPP @t1424 @t1199)) % 6.43/6.68 (define @t1426 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t1427 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t1428 () (@list @t690)) % 6.43/6.68 (define @t1429 () (tptp.hBOOL (tptp.hAPP @t175 @t1390))) % 6.43/6.68 (define @t1430 () (tptp.hBOOL (tptp.hAPP @t136 @t13))) % 6.43/6.68 (define @t1431 () (@list @t8 @t13 @t136)) % 6.43/6.68 (define @t1432 () (tptp.c_COMBB tptp.tc_HOL_Obool @t525 @t8)) % 6.43/6.68 (define @t1433 () (tptp.hAPP @t1432 tptp.c_fconj)) % 6.43/6.68 (define @t1434 () (tptp.hAPP @t1433 @t136)) % 6.43/6.68 (define @t1435 () (tptp.c_COMBS @t8 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1436 () (tptp.hAPP @t1435 @t1434)) % 6.43/6.68 (define @t1437 () (tptp.hAPP @t1389 (tptp.hAPP @t1436 @t135))) % 6.43/6.68 (define @t1438 () (tptp.hAPP @t1389 @t135)) % 6.43/6.68 (define @t1439 () (tptp.hBOOL (tptp.hAPP @t359 @t1438))) % 6.43/6.68 (define @t1440 () (tptp.hBOOL (tptp.hAPP @t359 @t1390))) % 6.43/6.68 (define @t1441 () (@list @t135 @t136 @t8)) % 6.43/6.68 (define @t1442 () (tptp.c_Set_OCollect @t55)) % 6.43/6.68 (define @t1443 () (tptp.hAPP @t1442 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t55 @t55 tptp.tc_HOL_Obool) @t169) @t51))) % 6.43/6.68 (define @t1444 () (tptp.c_COMBI @t55)) % 6.43/6.68 (define @t1445 () (@list @t392 @t8)) % 6.43/6.68 (define @t1446 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t48 @t55) @t51) (tptp.hAPP (tptp.hAPP @t1359 @t1415) @t77))) % 6.43/6.68 (define @t1447 () (tptp.hAPP (tptp.hAPP @t1415 @t1362) @t77)) % 6.43/6.68 (define @t1448 () (tptp.c_Orderings_Otop__class_Otop @t1336)) % 6.43/6.68 (define @t1449 () (@var "V_r_2" $$unsorted)) % 6.43/6.68 (define @t1450 () (tptp.hAPP @t1408 @t1407)) % 6.43/6.68 (define @t1451 () (tptp.hAPP (tptp.c_COMBC @t47 @t48 tptp.tc_HOL_Obool) @t189)) % 6.43/6.68 (define @t1452 () (tptp.hAPP (tptp.hAPP @t1048 @t1451) @t1449)) % 6.43/6.68 (define @t1453 () (@list @t61 @t1449 @t47 @t8)) % 6.43/6.68 (define @t1454 () (tptp.hAPP @t1409 @t1080)) % 6.43/6.68 (define @t1455 () (tptp.c_Orderings_Otop__class_Otop @t48)) % 6.43/6.68 (define @t1456 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t47 @t8)) % 6.43/6.68 (define @t1457 () (tptp.hAPP @t1456 @t51)) % 6.43/6.68 (define @t1458 () (tptp.hBOOL (tptp.hAPP @t358 @t1455))) % 6.43/6.68 (define @t1459 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t203 tptp.tc_HOL_Obool))) % 6.43/6.68 (define @t1460 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t203) @t1459))) % 6.43/6.68 (define @t1461 () (tptp.hBOOL (tptp.hAPP @t359 @t1407))) % 6.43/6.68 (define @t1462 () (tptp.tc_sum @t8 @t47)) % 6.43/6.68 (define @t1463 () (tptp.tc_fun @t1462 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1464 () (tptp.c_Orderings_Otop__class_Otop @t1463)) % 6.43/6.68 (define @t1465 () (tptp.c_Finite__Set_Ofinite @t1462)) % 6.43/6.68 (define @t1466 () (tptp.tc_fun @t687 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1467 () (tptp.c_Orderings_Otop__class_Otop @t1466)) % 6.43/6.68 (define @t1468 () (tptp.c_Finite__Set_Ofinite @t687)) % 6.43/6.68 (define @t1469 () (tptp.tc_prod @t8 @t47)) % 6.43/6.68 (define @t1470 () (tptp.tc_fun @t1469 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1471 () (tptp.c_Orderings_Otop__class_Otop @t1470)) % 6.43/6.68 (define @t1472 () (tptp.c_Finite__Set_Ofinite @t1469)) % 6.43/6.68 (define @t1473 () (tptp.c_COMBK tptp.tc_HOL_Obool @t8)) % 6.43/6.68 (define @t1474 () (tptp.class_Orderings_Otop @t8)) % 6.43/6.68 (define @t1475 () (@list @t136 @t8)) % 6.43/6.68 (define @t1476 () (@var "V_m3_2" $$unsorted)) % 6.43/6.68 (define @t1477 () (@var "V_m2_2" $$unsorted)) % 6.43/6.68 (define @t1478 () (@var "V_m1_2" $$unsorted)) % 6.43/6.68 (define @t1479 () (tptp.c_Map_Omap__add @t8 @t47 @t1478 @t1477)) % 6.43/6.68 (define @t1480 () (tptp.hAPP @t1385 @t1407)) % 6.43/6.68 (define @t1481 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t8)) % 6.43/6.68 (define @t1482 () (tptp.hAPP @t1481 tptp.c_fNot)) % 6.43/6.68 (define @t1483 () (tptp.hAPP @t1482 @t136)) % 6.43/6.68 (define @t1484 () (tptp.hAPP @t1389 @t1483)) % 6.43/6.68 (define @t1485 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t106 @t8) @t77)) % 6.43/6.68 (define @t1486 () (not @t231)) % 6.43/6.68 (define @t1487 () (forall @t7 @t1486)) % 6.43/6.68 (define @t1488 () (tptp.hAPP @t1408 @t225)) % 6.43/6.68 (define @t1489 () (tptp.hAPP @t856 (tptp.hAPP @t1488 @t77))) % 6.43/6.68 (define @t1490 () (tptp.hAPP @t1488 (tptp.hAPP (tptp.hAPP @t1048 @t856) @t77))) % 6.43/6.68 (define @t1491 () (tptp.hAPP @t1488 @t51)) % 6.43/6.68 (define @t1492 () (tptp.hAPP (tptp.hAPP @t855 @t1491) @t77)) % 6.43/6.68 (define @t1493 () (tptp.hAPP (tptp.hAPP @t1054 @t855) @t51)) % 6.43/6.68 (define @t1494 () (tptp.hAPP @t1488 (tptp.hAPP (tptp.hAPP @t717 @t1493) @t77))) % 6.43/6.68 (define @t1495 () (tptp.hAPP (tptp.hAPP @t577 @t1491) @t77)) % 6.43/6.68 (define @t1496 () (tptp.hAPP (tptp.hAPP @t1054 @t577) @t51)) % 6.43/6.68 (define @t1497 () (tptp.hAPP @t1488 (tptp.hAPP (tptp.hAPP @t717 @t1496) @t77))) % 6.43/6.68 (define @t1498 () (tptp.hAPP @t1415 @t225)) % 6.43/6.68 (define @t1499 () (tptp.hAPP @t1498 @t77)) % 6.43/6.68 (define @t1500 () (tptp.hAPP @t89 @t1499)) % 6.43/6.68 (define @t1501 () (tptp.hAPP @t1498 (tptp.hAPP (tptp.hAPP @t1107 @t89) @t77))) % 6.43/6.68 (define @t1502 () (tptp.hAPP @t1415 @t1085)) % 6.43/6.68 (define @t1503 () (tptp.hAPP @t1502 @t51)) % 6.43/6.68 (define @t1504 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t106 @t55)) % 6.43/6.68 (define @t1505 () (tptp.hAPP @t1504 @t51)) % 6.43/6.68 (define @t1506 () (tptp.hAPP @t1504 @t1120)) % 6.43/6.68 (define @t1507 () (tptp.hAPP @t1498 (tptp.hAPP (tptp.hAPP @t1028 @t1099) @t77))) % 6.43/6.68 (define @t1508 () (tptp.hAPP (tptp.hAPP @t193 (tptp.hAPP @t1498 @t51)) @t77)) % 6.43/6.68 (define @t1509 () (tptp.hAPP @t1498 (tptp.hAPP (tptp.hAPP @t1107 @t194) @t77))) % 6.43/6.68 (define @t1510 () (tptp.hAPP @t194 @t1499)) % 6.43/6.68 (define @t1511 () (tptp.hAPP (tptp.hAPP @t1100 @t1112) @t77)) % 6.43/6.68 (define @t1512 () (tptp.hAPP @t394 @t51)) % 6.43/6.68 (define @t1513 () (@list @t136 @t13 @t8)) % 6.43/6.68 (define @t1514 () (tptp.hAPP @t1473 tptp.c_fFalse)) % 6.43/6.68 (define @t1515 () (tptp.hAPP @t1432 tptp.c_fdisj)) % 6.43/6.68 (define @t1516 () (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1515 @t136)) @t135))) % 6.43/6.68 (define @t1517 () (tptp.hAPP @t1432 tptp.c_fimplies)) % 6.43/6.68 (define @t1518 () (tptp.hAPP @t337 @t690)) % 6.43/6.68 (define @t1519 () (tptp.hAPP @t692 @t690)) % 6.43/6.68 (define @t1520 () (= @t1519 @t983)) % 6.43/6.68 (define @t1521 () (tptp.hAPP (tptp.c_Map_Omap__add @t47 @t8 @t337 @t692) @t690)) % 6.43/6.68 (define @t1522 () (@var "V_xx_2" $$unsorted)) % 6.43/6.68 (define @t1523 () (tptp.hAPP @t65 @t1522)) % 6.43/6.68 (define @t1524 () (tptp.c_Set_Oimage @t47 @t106 @t1)) % 6.43/6.68 (define @t1525 () (tptp.c_Set_Oimage @t106 @t8 @t2)) % 6.43/6.68 (define @t1526 () (tptp.hAPP @t578 @t1046)) % 6.43/6.68 (define @t1527 () (tptp.hAPP @t1488 (tptp.hAPP (tptp.hAPP @t1048 @t578) @t77))) % 6.43/6.68 (define @t1528 () (tptp.class_Lattices_Obounded__lattice__top @t8)) % 6.43/6.68 (define @t1529 () (@list @t337 @t47 @t8)) % 6.43/6.68 (define @t1530 () (tptp.hAPP @t158 @t1137)) % 6.43/6.68 (define @t1531 () (tptp.hAPP @t78 @t1455)) % 6.43/6.68 (define @t1532 () (tptp.hAPP @t154 @t67)) % 6.43/6.68 (define @t1533 () (tptp.hAPP @t1105 (tptp.hAPP (tptp.hAPP @t1107 @t529) @t77))) % 6.43/6.68 (define @t1534 () (tptp.hAPP @t529 @t1499)) % 6.43/6.68 (define @t1535 () (tptp.hAPP @t394 @t77)) % 6.43/6.68 (define @t1536 () (tptp.hAPP @t1433 @t1512)) % 6.43/6.68 (define @t1537 () (tptp.hAPP @t1435 @t1536)) % 6.43/6.68 (define @t1538 () (tptp.hAPP @t1389 (tptp.hAPP @t1537 @t1535))) % 6.43/6.68 (define @t1539 () (tptp.hAPP tptp.c_fequal @t13)) % 6.43/6.68 (define @t1540 () (tptp.hAPP @t1389 @t522)) % 6.43/6.68 (define @t1541 () (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1433 @t1539)) @t136))) % 6.43/6.68 (define @t1542 () (not @t1430)) % 6.43/6.68 (define @t1543 () (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1433 @t522)) @t136))) % 6.43/6.68 (define @t1544 () (tptp.hAPP (tptp.hAPP @t1107 @t1288) @t77)) % 6.43/6.68 (define @t1545 () (tptp.tc_fun @t693 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1546 () (tptp.hAPP (tptp.c_COMBB @t693 @t1545 @t8) tptp.c_fequal)) % 6.43/6.68 (define @t1547 () (@var "V_l2_2" $$unsorted)) % 6.43/6.68 (define @t1548 () (@var "V_l1_2" $$unsorted)) % 6.43/6.68 (define @t1549 () (tptp.hAPP (tptp.c_Map_Omap__add @t8 @t47 @t1548 @t1547) @t337)) % 6.43/6.68 (define @t1550 () (= @t1549 (tptp.hAPP @t1547 @t337))) % 6.43/6.68 (define @t1551 () (tptp.hBOOL (tptp.hAPP @t1406 (tptp.c_Map_Odom @t8 @t47 @t1547)))) % 6.43/6.68 (define @t1552 () (@list @t1548 @t1547 @t47 @t337 @t8)) % 6.43/6.68 (define @t1553 () (tptp.hAPP @t916 @t1407)) % 6.43/6.68 (define @t1554 () (tptp.c_Set_Oimage @t47 @t8 @t1)) % 6.43/6.68 (define @t1555 () (or (= @t1519 @t147) (and @t1520 (= @t1518 @t147)))) % 6.43/6.68 (define @t1556 () (= @t1521 @t147)) % 6.43/6.68 (define @t1557 () (@list @t61 @t690 @t692 @t337 @t8 @t47)) % 6.43/6.68 (define @t1558 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t47 @t693 @t8) @t618) @t2)) % 6.43/6.68 (define @t1559 () (tptp.hAPP @t1385 @t98)) % 6.43/6.68 (define @t1560 () (tptp.hAPP @t1184 @t1386)) % 6.43/6.68 (define @t1561 () (tptp.hAPP @t1385 @t77)) % 6.43/6.68 (define @t1562 () (tptp.c_Finite__Set_Ocard @t47)) % 6.43/6.68 (define @t1563 () (tptp.hAPP @t1562 @t320)) % 6.43/6.68 (define @t1564 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1386) @t1561))) % 6.43/6.68 (define @t1565 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t47)) % 6.43/6.68 (define @t1566 () (tptp.hAPP @t1565 tptp.c_fNot)) % 6.43/6.68 (define @t1567 () (tptp.c_Set_OCollect @t47)) % 6.43/6.68 (define @t1568 () (tptp.hAPP @t855 @t392)) % 6.43/6.68 (define @t1569 () (tptp.hAPP @t1567 @t136)) % 6.43/6.68 (define @t1570 () (tptp.c_If @t8)) % 6.43/6.68 (define @t1571 () (tptp.tc_fun @t8 @t769)) % 6.43/6.68 (define @t1572 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1571 @t47) @t1570)) % 6.43/6.68 (define @t1573 () (tptp.hAPP @t928 @t946)) % 6.43/6.68 (define @t1574 () (tptp.hAPP @t948 @t446)) % 6.43/6.68 (define @t1575 () (tptp.class_Rings_Ocomm__semiring__1 @t8)) % 6.43/6.68 (define @t1576 () (tptp.hAPP @t931 @t1574)) % 6.43/6.68 (define @t1577 () (@list @t446 @t254 @t255 @t8)) % 6.43/6.68 (define @t1578 () (tptp.c_Groups_Ouminus__class_Ouminus @t48)) % 6.43/6.68 (define @t1579 () (tptp.hAPP @t1578 @t51)) % 6.43/6.68 (define @t1580 () (= @t1531 @t1407)) % 6.43/6.68 (define @t1581 () (tptp.c_Map_Odom @t8 @t47 @t1)) % 6.43/6.68 (define @t1582 () (tptp.tc_fun @t693 @t693)) % 6.43/6.68 (define @t1583 () (tptp.hAPP @t1000 @t1386)) % 6.43/6.68 (define @t1584 () (tptp.hAPP @t1583 @t1561)) % 6.43/6.68 (define @t1585 () (tptp.hAPP @t1385 @t731)) % 6.43/6.68 (define @t1586 () (tptp.hAPP @t1385 @t195)) % 6.43/6.68 (define @t1587 () (tptp.hAPP (tptp.hAPP @t1000 @t1586) @t1585)) % 6.43/6.68 (define @t1588 () (tptp.hBOOL (tptp.hAPP @t1468 (tptp.hAPP (tptp.c_Set_Oimage @t47 @t687 @t2) @t1455)))) % 6.43/6.68 (define @t1589 () (@list @t109 @t13 @t2 @t47 @t8)) % 6.43/6.68 (define @t1590 () (tptp.hAPP @t864 @t1386)) % 6.43/6.68 (define @t1591 () (tptp.hAPP @t1590 @t1561)) % 6.43/6.68 (define @t1592 () (tptp.hAPP @t1385 @t539)) % 6.43/6.68 (define @t1593 () (= @t1586 @t1584)) % 6.43/6.68 (define @t1594 () (tptp.c_Set_Oimage @t8 @t106 @t2)) % 6.43/6.68 (define @t1595 () (tptp.hAPP @t1435 (tptp.hAPP @t1433 @t395))) % 6.43/6.68 (define @t1596 () (tptp.hBOOL (tptp.hAPP @t359 @t392))) % 6.43/6.68 (define @t1597 () (@var "V_T_2" $$unsorted)) % 6.43/6.68 (define @t1598 () (tptp.c_COMBC @t8 @t47 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1599 () (tptp.hAPP @t1598 @t393)) % 6.43/6.68 (define @t1600 () (tptp.hAPP @t1107 @t1389)) % 6.43/6.68 (define @t1601 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t106)) % 6.43/6.68 (define @t1602 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t47 @t106)) % 6.43/6.68 (define @t1603 () (tptp.c_COMBB tptp.tc_HOL_Obool @t525 @t47)) % 6.43/6.68 (define @t1604 () (tptp.hAPP @t1603 tptp.c_fconj)) % 6.43/6.68 (define @t1605 () (tptp.c_COMBS @t47 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1606 () (tptp.hAPP @t1048 @t1567)) % 6.43/6.68 (define @t1607 () (tptp.hAPP @t1606 (tptp.hAPP (tptp.hAPP @t1048 (tptp.hAPP @t1605 (tptp.hAPP @t1604 (tptp.hAPP @t1451 @t1597)))) @t393))) % 6.43/6.68 (define @t1608 () (tptp.tc_fun @t48 @t106)) % 6.43/6.68 (define @t1609 () (tptp.tc_fun @t47 @t106)) % 6.43/6.68 (define @t1610 () (tptp.c_COMBB @t1609 @t1608 @t8)) % 6.43/6.68 (define @t1611 () (tptp.c_COMBS @t8 @t48 @t106)) % 6.43/6.68 (define @t1612 () (tptp.hAPP @t1611 (tptp.hAPP (tptp.hAPP @t1610 @t1602) @t2))) % 6.43/6.68 (define @t1613 () (tptp.hBOOL (tptp.hAPP @t358 @t1597))) % 6.43/6.68 (define @t1614 () (tptp.class_Groups_Ocomm__monoid__add @t106)) % 6.43/6.68 (define @t1615 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t1616 () (=> @t156 (= @t1388 (tptp.hAPP @t1590 @t1615)))) % 6.43/6.68 (define @t1617 () (@var "B_M" $$unsorted)) % 6.43/6.68 (define @t1618 () (tptp.hAPP @t1000 @t1615)) % 6.43/6.68 (define @t1619 () (tptp.hAPP @t1618 @t1388)) % 6.43/6.68 (define @t1620 () (tptp.hAPP (tptp.hAPP @t1348 @t61) @t123)) % 6.43/6.68 (define @t1621 () (tptp.hAPP @t1295 @t61)) % 6.43/6.68 (define @t1622 () (forall @t7 (=> @t317 (= @t951 @t1407)))) % 6.43/6.68 (define @t1623 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1624 () (tptp.c_Orderings_Otop__class_Otop @t1623)) % 6.43/6.68 (define @t1625 () (tptp.c_Groups_Oone__class_Oone @t8)) % 6.43/6.68 (define @t1626 () (= @t61 @t1625)) % 6.43/6.68 (define @t1627 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t8) @t1615)) % 6.43/6.68 (define @t1628 () (tptp.hAPP (tptp.c_Fun_Ooverride__on @t8 @t47 @t2 @t1 @t51) @t13)) % 6.43/6.68 (define @t1629 () (=> @t310 (= @t1628 @t80))) % 6.43/6.68 (define @t1630 () (@list @t1 @t2 @t47 @t51 @t13 @t8)) % 6.43/6.68 (define @t1631 () (tptp.hAPP @t1 @t13)) % 6.43/6.68 (define @t1632 () (=> @t176 (= @t1628 @t1631))) % 6.43/6.68 (define @t1633 () (@var "B_m" $$unsorted)) % 6.43/6.68 (define @t1634 () (tptp.c_member tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t1635 () (tptp.hAPP @t1634 @t3)) % 6.43/6.68 (define @t1636 () (tptp.hBOOL (tptp.hAPP @t1635 @t505))) % 6.43/6.68 (define @t1637 () (@list @t1633)) % 6.43/6.68 (define @t1638 () (tptp.hBOOL (tptp.hAPP @t1427 @t505))) % 6.43/6.68 (define @t1639 () (@list @t505)) % 6.43/6.68 (define @t1640 () (tptp.hAPP @t1425 @t1034)) % 6.43/6.68 (define @t1641 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t525 tptp.tc_Nat_Onat) tptp.c_fconj)) % 6.43/6.68 (define @t1642 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1643 () (@list @t1034 @t136)) % 6.43/6.68 (define @t1644 () (tptp.hAPP @t931 @t1625)) % 6.43/6.68 (define @t1645 () (tptp.class_Rings_Olinordered__semidom @t8)) % 6.43/6.68 (define @t1646 () (@var "V_less__eq_2" $$unsorted)) % 6.43/6.68 (define @t1647 () (tptp.hAPP @t1646 @t1034)) % 6.43/6.68 (define @t1648 () (@list @t690 @t1646 @t1034 @t8)) % 6.43/6.68 (define @t1649 () (@var "V_less_2" $$unsorted)) % 6.43/6.68 (define @t1650 () (tptp.hAPP @t1649 @t1034)) % 6.43/6.68 (define @t1651 () (@list @t690 @t1649 @t1034 @t8)) % 6.43/6.68 (define @t1652 () (tptp.hBOOL (tptp.hAPP @t1647 @t1137))) % 6.43/6.68 (define @t1653 () (@var "V_l_2" $$unsorted)) % 6.43/6.68 (define @t1654 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1646 @t1653) @t1034))) % 6.43/6.68 (define @t1655 () (tptp.hBOOL (tptp.hAPP @t1650 @t1137))) % 6.43/6.68 (define @t1656 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1649 @t1653) @t1034))) % 6.43/6.68 (define @t1657 () (@list @t1137 @t1653 @t1649 @t1646 @t1034 @t8)) % 6.43/6.68 (define @t1658 () (tptp.class_Rings_Olinordered__idom @t8)) % 6.43/6.68 (define @t1659 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t47 tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t1660 () (@var "V_s_2" $$unsorted)) % 6.43/6.68 (define @t1661 () (tptp.hAPP (tptp.c_COMBB @t48 tptp.tc_Nat_Onat @t8) @t1562)) % 6.43/6.68 (define @t1662 () (tptp.hAPP @t1599 @t3)) % 6.43/6.68 (define @t1663 () (tptp.hBOOL (tptp.hAPP @t359 @t1660))) % 6.43/6.68 (define @t1664 () (tptp.c_Predicate_OPowp @t8 @t51)) % 6.43/6.68 (define @t1665 () (tptp.tc_fun @t769 @t55)) % 6.43/6.68 (define @t1666 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t1665 @t8) (tptp.c_COMBB @t8 tptp.tc_HOL_Obool @t8)) tptp.c_fequal)) % 6.43/6.68 (define @t1667 () (tptp.hAPP (tptp.c_COMBC @t8 @t769 @t55) @t1666)) % 6.43/6.68 (define @t1668 () (tptp.tc_fun @t8 @t525)) % 6.43/6.68 (define @t1669 () (tptp.hAPP (tptp.c_COMBB @t55 @t1668 @t8) @t1433)) % 6.43/6.68 (define @t1670 () (tptp.hAPP (tptp.c_COMBB @t1668 @t611 @t8) @t1435)) % 6.43/6.68 (define @t1671 () (tptp.c_HOL_OEx @t8)) % 6.43/6.68 (define @t1672 () (tptp.hAPP @t493 @t1671)) % 6.43/6.68 (define @t1673 () (tptp.hAPP (tptp.c_COMBB @t525 @t611 @t8) @t1481)) % 6.43/6.68 (define @t1674 () (tptp.hAPP @t491 (tptp.hAPP @t1673 @t1536))) % 6.43/6.68 (define @t1675 () (tptp.hAPP @t1674 @t1535)) % 6.43/6.68 (define @t1676 () (tptp.tc_fun @t8 @t55)) % 6.43/6.68 (define @t1677 () (tptp.hAPP (tptp.c_COMBC @t8 @t1571 @t1676) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1665 (tptp.tc_fun @t1571 @t1676) @t8) (tptp.c_COMBB @t769 @t55 @t8)) @t1666))) % 6.43/6.68 (define @t1678 () (tptp.tc_fun @t8 @t1668)) % 6.43/6.68 (define @t1679 () (tptp.hAPP (tptp.c_COMBB @t1676 @t1678 @t8) @t1669)) % 6.43/6.68 (define @t1680 () (tptp.tc_fun @t8 @t611)) % 6.43/6.68 (define @t1681 () (tptp.hAPP (tptp.c_COMBB @t1678 @t1680 @t8) @t1670)) % 6.43/6.68 (define @t1682 () (tptp.hAPP (tptp.c_COMBB @t1680 (tptp.tc_fun @t1676 @t1676) @t8) (tptp.c_COMBS @t8 @t55 @t55))) % 6.43/6.68 (define @t1683 () (tptp.c_COMBC @t8 @t1676 @t1676)) % 6.43/6.68 (define @t1684 () (tptp.hAPP (tptp.c_COMBB @t1676 @t55 @t8) @t1672)) % 6.43/6.68 (define @t1685 () (tptp.c_COMBB @t47 tptp.tc_HOL_Obool @t8)) % 6.43/6.68 (define @t1686 () (tptp.tc_fun @t203 @t55)) % 6.43/6.68 (define @t1687 () (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t47)) % 6.43/6.68 (define @t1688 () (tptp.hAPP @t1687 @t1671)) % 6.43/6.68 (define @t1689 () (@list @t2 @t47 @t136 @t8)) % 6.43/6.68 (define @t1690 () (tptp.c_COMBC @t47 @t8 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1691 () (tptp.hAPP @t136 @t42)) % 6.43/6.68 (define @t1692 () (tptp.hBOOL @t1691)) % 6.43/6.68 (define @t1693 () (tptp.hAPP (tptp.c_COMBB @t687 @t1466 @t47) tptp.c_fequal)) % 6.43/6.68 (define @t1694 () (tptp.c_COMBC @t47 @t687 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t1695 () (tptp.c_COMBB @t48 tptp.tc_HOL_Obool @t8)) % 6.43/6.68 (define @t1696 () (tptp.hAPP @t1695 (tptp.c_HOL_OEx @t47))) % 6.43/6.68 (define @t1697 () (tptp.hAPP @t928 @t690)) % 6.43/6.68 (define @t1698 () (tptp.hAPP @t1389 (tptp.hAPP @t1672 (tptp.hAPP (tptp.hAPP @t491 (tptp.hAPP @t1670 (tptp.hAPP @t1669 (tptp.hAPP @t1667 @t1697)))) (tptp.hAPP @t394 @t505))))) % 6.43/6.68 (define @t1699 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t505)) % 6.43/6.68 (define @t1700 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t8)) % 6.43/6.68 (define @t1701 () (@list @t690 @t505 @t8)) % 6.43/6.68 (define @t1702 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t505)) % 6.43/6.68 (define @t1703 () (tptp.c_Groups_Oone__class_Oone @t47)) % 6.43/6.68 (define @t1704 () (tptp.c_Groups_Otimes__class_Otimes @t47)) % 6.43/6.68 (define @t1705 () (tptp.c_Finite__Set_Ofold__image @t47 @t8 @t1704)) % 6.43/6.68 (define @t1706 () (tptp.hAPP @t1705 @t1)) % 6.43/6.68 (define @t1707 () (tptp.hAPP @t1706 @t1703)) % 6.43/6.68 (define @t1708 () (tptp.hAPP @t1707 @t51)) % 6.43/6.68 (define @t1709 () (tptp.hAPP @t1704 @t1708)) % 6.43/6.68 (define @t1710 () (tptp.hAPP @t1709 (tptp.hAPP @t1707 @t77))) % 6.43/6.68 (define @t1711 () (tptp.hAPP @t1707 @t195)) % 6.43/6.68 (define @t1712 () (tptp.class_Groups_Ocomm__monoid__mult @t47)) % 6.43/6.68 (define @t1713 () (tptp.hAPP tptp.c_Nat_OSuc @t1388)) % 6.43/6.68 (define @t1714 () (@var "B_n" $$unsorted)) % 6.43/6.68 (define @t1715 () (@var "B_f" $$unsorted)) % 6.43/6.68 (define @t1716 () (tptp.hAPP tptp.c_Nat_OSuc @t1153)) % 6.43/6.68 (define @t1717 () (tptp.hAPP tptp.c_Nat_OSuc @t1152)) % 6.43/6.68 (define @t1718 () (tptp.hAPP @t1199 @t1717)) % 6.43/6.68 (define @t1719 () (tptp.hBOOL (tptp.hAPP @t1718 @t1716))) % 6.43/6.68 (define @t1720 () (tptp.hAPP tptp.c_Nat_OSuc @t690)) % 6.43/6.68 (define @t1721 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t1722 () (tptp.hAPP @t1721 @t1720)) % 6.43/6.68 (define @t1723 () (tptp.hAPP @t1722 @t692)) % 6.43/6.68 (define @t1724 () (tptp.hAPP @t1722 @t337)) % 6.43/6.68 (define @t1725 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 6.43/6.68 (define @t1726 () (tptp.hAPP @t1725 @t255)) % 6.43/6.68 (define @t1727 () (tptp.hAPP @t1726 @t255)) % 6.43/6.68 (define @t1728 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t8)) % 6.43/6.68 (define @t1729 () (tptp.hAPP @t1725 @t132)) % 6.43/6.68 (define @t1730 () (tptp.hAPP @t1729 @t132)) % 6.43/6.68 (define @t1731 () (tptp.hAPP @t1726 @t38)) % 6.43/6.68 (define @t1732 () (tptp.hAPP @t1725 @t38)) % 6.43/6.68 (define @t1733 () (tptp.hAPP @t1732 @t254)) % 6.43/6.68 (define @t1734 () (tptp.class_Groups_Oab__semigroup__mult @t8)) % 6.43/6.68 (define @t1735 () (@var "V_nat_H_2" $$unsorted)) % 6.43/6.68 (define @t1736 () (@var "V_nat_2" $$unsorted)) % 6.43/6.68 (define @t1737 () (tptp.hAPP tptp.c_Nat_OSuc @t1736)) % 6.43/6.68 (define @t1738 () (tptp.hAPP @t1721 @t1152)) % 6.43/6.68 (define @t1739 () (tptp.hAPP @t1738 @t1153)) % 6.43/6.68 (define @t1740 () (tptp.hAPP @t1732 @t255)) % 6.43/6.68 (define @t1741 () (@var "V_ry" $$unsorted)) % 6.43/6.68 (define @t1742 () (@var "V_lx" $$unsorted)) % 6.43/6.68 (define @t1743 () (tptp.hAPP @t1725 @t1742)) % 6.43/6.68 (define @t1744 () (@var "V_rx" $$unsorted)) % 6.43/6.68 (define @t1745 () (tptp.hAPP @t1725 @t1744)) % 6.43/6.68 (define @t1746 () (tptp.hAPP @t1745 @t1741)) % 6.43/6.68 (define @t1747 () (tptp.hAPP @t1743 @t1746)) % 6.43/6.68 (define @t1748 () (@list @t1741 @t1744 @t1742 @t8)) % 6.43/6.68 (define @t1749 () (tptp.hAPP @t1725 (tptp.hAPP @t1743 @t1744))) % 6.43/6.68 (define @t1750 () (@var "V_ly" $$unsorted)) % 6.43/6.68 (define @t1751 () (tptp.hAPP @t1725 @t1750)) % 6.43/6.68 (define @t1752 () (tptp.hAPP @t1725 (tptp.hAPP @t1743 @t1750))) % 6.43/6.68 (define @t1753 () (tptp.hAPP @t1752 @t1744)) % 6.43/6.68 (define @t1754 () (@list @t1744 @t1750 @t1742 @t8)) % 6.43/6.68 (define @t1755 () (tptp.hAPP @t1752 @t1746)) % 6.43/6.68 (define @t1756 () (@list @t1741 @t1744 @t1750 @t1742 @t8)) % 6.43/6.68 (define @t1757 () (tptp.hAPP @t1726 @t254)) % 6.43/6.68 (define @t1758 () (tptp.hAPP @t1725 @t932)) % 6.43/6.68 (define @t1759 () (= (tptp.hAPP @t1758 @t254) (tptp.hAPP (tptp.hAPP @t928 @t1757) @t1733))) % 6.43/6.68 (define @t1760 () (@var "V_e" $$unsorted)) % 6.43/6.68 (define @t1761 () (tptp.hAPP @t1729 @t272)) % 6.43/6.68 (define @t1762 () (tptp.hAPP @t1729 @t210)) % 6.43/6.68 (define @t1763 () (tptp.hAPP @t928 @t210)) % 6.43/6.68 (define @t1764 () (tptp.hAPP @t1763 @t272)) % 6.43/6.68 (define @t1765 () (tptp.hAPP @t1725 @t109)) % 6.43/6.68 (define @t1766 () (tptp.hAPP @t1765 @t18)) % 6.43/6.68 (define @t1767 () (tptp.hAPP @t1725 @t13)) % 6.43/6.68 (define @t1768 () (tptp.hAPP @t1767 @t18)) % 6.43/6.68 (define @t1769 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t8)) % 6.43/6.68 (define @t1770 () (tptp.hAPP @t1726 @t1152)) % 6.43/6.68 (define @t1771 () (tptp.hAPP @t928 @t1770)) % 6.43/6.68 (define @t1772 () (= @t64 @t315)) % 6.43/6.68 (define @t1773 () (@var "V_w_2" $$unsorted)) % 6.43/6.68 (define @t1774 () (tptp.hAPP @t1725 @t61)) % 6.43/6.68 (define @t1775 () (tptp.hAPP @t1725 @t1773)) % 6.43/6.68 (define @t1776 () (tptp.hAPP @t1774 @t315)) % 6.43/6.68 (define @t1777 () (tptp.hAPP @t1775 @t64)) % 6.43/6.68 (define @t1778 () (tptp.hAPP tptp.c_Nat_OSuc @t337)) % 6.43/6.68 (define @t1779 () (tptp.hBOOL (tptp.hAPP @t1303 @t1778))) % 6.43/6.68 (define @t1780 () (tptp.hAPP tptp.c_Nat_OSuc @t692)) % 6.43/6.68 (define @t1781 () (tptp.hBOOL (tptp.hAPP @t1204 @t1780))) % 6.43/6.68 (define @t1782 () (= @t692 @t337)) % 6.43/6.68 (define @t1783 () (= @t1779 @t1782)) % 6.43/6.68 (define @t1784 () (not @t1304)) % 6.43/6.68 (define @t1785 () (@list @t337 @t692)) % 6.43/6.68 (define @t1786 () (tptp.hBOOL (tptp.hAPP @t1200 @t1716))) % 6.43/6.68 (define @t1787 () (tptp.hBOOL (tptp.hAPP @t1718 @t1153))) % 6.43/6.68 (define @t1788 () (tptp.hAPP tptp.c_Nat_OSuc @t1165)) % 6.43/6.68 (define @t1789 () (= (tptp.hAPP (tptp.hAPP @t1725 @t1625) @t255) @t255)) % 6.43/6.68 (define @t1790 () (tptp.class_Groups_Omonoid__mult @t8)) % 6.43/6.68 (define @t1791 () (tptp.class_Groups_Ocomm__monoid__mult @t8)) % 6.43/6.68 (define @t1792 () (= (tptp.hAPP @t1726 @t1625) @t255)) % 6.43/6.68 (define @t1793 () (tptp.hAPP tptp.c_Nat_OSuc @t1155)) % 6.43/6.68 (define @t1794 () (tptp.hAPP @t1154 @t1716)) % 6.43/6.68 (define @t1795 () (tptp.hAPP (tptp.hAPP @t1000 @t1717) @t1153)) % 6.43/6.68 (define @t1796 () (tptp.hAPP @t1725 @t1316)) % 6.43/6.68 (define @t1797 () (tptp.class_Rings_Oring @t8)) % 6.43/6.68 (define @t1798 () (tptp.hAPP @t1726 @t1327)) % 6.43/6.68 (define @t1799 () (tptp.hAPP @t1796 @t38)) % 6.43/6.68 (define @t1800 () (tptp.hAPP @t1312 @t1731)) % 6.43/6.68 (define @t1801 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1717) @t1153))) % 6.43/6.68 (define @t1802 () (tptp.hBOOL (tptp.hAPP @t1194 @t1716))) % 6.43/6.68 (define @t1803 () (tptp.hAPP @t1184 @t692)) % 6.43/6.68 (define @t1804 () (tptp.hBOOL (tptp.hAPP @t1803 @t337))) % 6.43/6.68 (define @t1805 () (tptp.hAPP @t1184 @t1780)) % 6.43/6.68 (define @t1806 () (tptp.hBOOL (tptp.hAPP @t1207 @t1780))) % 6.43/6.68 (define @t1807 () (tptp.hBOOL (tptp.hAPP @t1805 @t337))) % 6.43/6.68 (define @t1808 () (not @t1208)) % 6.43/6.68 (define @t1809 () (tptp.hAPP @t864 @t1717)) % 6.43/6.68 (define @t1810 () (tptp.hAPP @t1809 @t1153)) % 6.43/6.68 (define @t1811 () (tptp.hAPP @t1721 @t1161)) % 6.43/6.68 (define @t1812 () (tptp.hAPP @t1811 @t1153)) % 6.43/6.68 (define @t1813 () (tptp.hAPP @t1811 @t1152)) % 6.43/6.68 (define @t1814 () (tptp.hAPP @t1721 @t1153)) % 6.43/6.68 (define @t1815 () (tptp.hAPP @t1814 @t1161)) % 6.43/6.68 (define @t1816 () (tptp.hAPP @t1738 @t1161)) % 6.43/6.68 (define @t1817 () (tptp.hAPP @t1721 @t1162)) % 6.43/6.68 (define @t1818 () (tptp.hAPP @t1721 @t1165)) % 6.43/6.68 (define @t1819 () (tptp.hAPP @t1818 @t1161)) % 6.43/6.68 (define @t1820 () (tptp.hAPP @t1184 @t1819)) % 6.43/6.68 (define @t1821 () (tptp.hAPP @t1811 @t1162)) % 6.43/6.68 (define @t1822 () (tptp.hAPP @t1811 @t1165)) % 6.43/6.68 (define @t1823 () (tptp.hAPP @t1817 @t1161)) % 6.43/6.68 (define @t1824 () (tptp.hAPP @t1738 @t1152)) % 6.43/6.68 (define @t1825 () (@list @t1152)) % 6.43/6.68 (define @t1826 () (and (= @t337 @t1615) (= @t692 @t1615))) % 6.43/6.68 (define @t1827 () (tptp.hAPP @t1721 @t337)) % 6.43/6.68 (define @t1828 () (tptp.hAPP @t1827 @t692)) % 6.43/6.68 (define @t1829 () (tptp.hAPP @t1725 @t1449)) % 6.43/6.68 (define @t1830 () (tptp.class_Rings_Osemiring__0 @t8)) % 6.43/6.68 (define @t1831 () (tptp.hAPP (tptp.hAPP @t770 @t1725) @t2)) % 6.43/6.68 (define @t1832 () (tptp.c_COMBC @t47 @t8 @t8)) % 6.43/6.68 (define @t1833 () (tptp.hAPP @t1832 @t1831)) % 6.43/6.68 (define @t1834 () (tptp.hAPP @t1725 @t839)) % 6.43/6.68 (define @t1835 () (@list @t1449 @t51 @t2 @t47 @t8)) % 6.43/6.68 (define @t1836 () (tptp.hAPP @t627 @t1625)) % 6.43/6.68 (define @t1837 () (@list @t1153 @t1152 @t8)) % 6.43/6.68 (define @t1838 () (@var "V_e_2" $$unsorted)) % 6.43/6.68 (define @t1839 () (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP (tptp.hAPP @t1725 @t599) @t1838)) @t18)) % 6.43/6.68 (define @t1840 () (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t1765 @t1838)) @t116)) % 6.43/6.68 (define @t1841 () (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t1767 @t1838)) @t18)) % 6.43/6.68 (define @t1842 () (= @t1841 @t1840)) % 6.43/6.68 (define @t1843 () (@list @t116 @t109 @t18 @t1838 @t13 @t8)) % 6.43/6.68 (define @t1844 () (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP (tptp.hAPP @t1725 (tptp.hAPP (tptp.hAPP @t557 @t109) @t13)) @t1838)) @t116)) % 6.43/6.68 (define @t1845 () (tptp.hAPP @t928 @t1625)) % 6.43/6.68 (define @t1846 () (tptp.hAPP @t1845 @t1625)) % 6.43/6.68 (define @t1847 () (tptp.hAPP @t1725 @t1846)) % 6.43/6.68 (define @t1848 () (tptp.hAPP @t928 @t1152)) % 6.43/6.68 (define @t1849 () (@list @t1152 @t8)) % 6.43/6.68 (define @t1850 () (tptp.hAPP (tptp.hAPP @t1725 @t1644) @t1152)) % 6.43/6.68 (define @t1851 () (tptp.hAPP @t1180 @t1152)) % 6.43/6.68 (define @t1852 () (@list @t1152 @t1165)) % 6.43/6.68 (define @t1853 () (tptp.hAPP @t1312 @t1625)) % 6.43/6.68 (define @t1854 () (tptp.hAPP @t1774 @t61)) % 6.43/6.68 (define @t1855 () (tptp.class_Rings_Oring__1__no__zero__divisors @t8)) % 6.43/6.68 (define @t1856 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1778) @t692))) % 6.43/6.68 (define @t1857 () (tptp.hAPP @t1199 @t1171)) % 6.43/6.68 (define @t1858 () (tptp.c_Set_Oimage @t8 @t8 @t1312)) % 6.43/6.68 (define @t1859 () (tptp.hAPP @t1858 @t392)) % 6.43/6.68 (define @t1860 () (not (= @t392 @t56))) % 6.43/6.68 (define @t1861 () (tptp.class_Groups_Olinordered__ab__group__add @t8)) % 6.43/6.68 (define @t1862 () (@list @t692)) % 6.43/6.68 (define @t1863 () (tptp.c_Map_Omap__comp @t8 @t106 @t47 @t1478 @t1477 @t690)) % 6.43/6.68 (define @t1864 () (tptp.hAPP @t1477 @t690)) % 6.43/6.68 (define @t1865 () (@var "V_v_2" $$unsorted)) % 6.43/6.68 (define @t1866 () (tptp.hAPP @t65 @t1865)) % 6.43/6.68 (define @t1867 () (@var "B_k_H" $$unsorted)) % 6.43/6.68 (define @t1868 () (tptp.hAPP @t1478 @t1867)) % 6.43/6.68 (define @t1869 () (= @t1864 (tptp.hAPP @t618 @t1867))) % 6.43/6.68 (define @t1870 () (@list @t1867)) % 6.43/6.68 (define @t1871 () (tptp.c_Map_Omap__comp @t47 @t8 @t106 @t1478 @t1477 @t690)) % 6.43/6.68 (define @t1872 () (@var "V_k_H_2" $$unsorted)) % 6.43/6.68 (define @t1873 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1841) @t1840))) % 6.43/6.68 (define @t1874 () (tptp.class_Rings_Oordered__ring @t8)) % 6.43/6.68 (define @t1875 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t1841) @t1840))) % 6.43/6.68 (define @t1876 () (tptp.hAPP tptp.c_Nat_OSuc @t1162)) % 6.43/6.68 (define @t1877 () (tptp.hAPP tptp.c_Nat_OSuc @t1183)) % 6.43/6.68 (define @t1878 () (@list @t1152 @t1162 @t1161)) % 6.43/6.68 (define @t1879 () (tptp.hAPP (tptp.c_COMBK @t693 @t106) @t905)) % 6.43/6.68 (define @t1880 () (@list @t61 @t337 @t106 @t8 @t47)) % 6.43/6.68 (define @t1881 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t51)) % 6.43/6.68 (define @t1882 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t51)) % 6.43/6.68 (define @t1883 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t1882) @t51))) % 6.43/6.68 (define @t1884 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t1881) @t51))) % 6.43/6.68 (define @t1885 () (tptp.hAPP @t1705 @t356)) % 6.43/6.68 (define @t1886 () (tptp.hAPP (tptp.hAPP @t994 (tptp.hAPP (tptp.hAPP @t898 @t1704) @t1)) @t356)) % 6.43/6.68 (define @t1887 () (=> @t299 (= @t1559 (tptp.hAPP tptp.c_Nat_OSuc @t1386)))) % 6.43/6.68 (define @t1888 () (tptp.hAPP @t1706 @t315)) % 6.43/6.68 (define @t1889 () (tptp.hAPP @t1888 @t51)) % 6.43/6.68 (define @t1890 () (tptp.class_Groups_Oab__semigroup__mult @t47)) % 6.43/6.68 (define @t1891 () (not (= @t1033 @t56))) % 6.43/6.68 (define @t1892 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t1033) @t505))) % 6.43/6.68 (define @t1893 () (@list @t505 @t1033 @t8)) % 6.43/6.68 (define @t1894 () (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1721 @t1278) @t1137)) @t692)) % 6.43/6.68 (define @t1895 () (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1721 @t1190) @t1137)) @t692)) % 6.43/6.68 (define @t1896 () (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1721 @t1034) @t1137)) @t337)) % 6.43/6.68 (define @t1897 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1896) @t1895))) % 6.43/6.68 (define @t1898 () (@list @t692 @t337 @t1137 @t1190 @t1034)) % 6.43/6.68 (define @t1899 () (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1721 (tptp.hAPP (tptp.hAPP @t864 @t1034) @t1190)) @t1137)) @t337)) % 6.43/6.68 (define @t1900 () (tptp.hBOOL (tptp.hAPP @t1191 @t1034))) % 6.43/6.68 (define @t1901 () (@list @t692 @t337 @t1137 @t1034 @t1190)) % 6.43/6.68 (define @t1902 () (tptp.hAPP @t1170 @t1615)) % 6.43/6.68 (define @t1903 () (tptp.hAPP @t1157 @t1615)) % 6.43/6.68 (define @t1904 () (tptp.hAPP @t1618 @t1153)) % 6.43/6.68 (define @t1905 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1896) @t1895))) % 6.43/6.68 (define @t1906 () (@var "V_u" $$unsorted)) % 6.43/6.68 (define @t1907 () (tptp.hAPP @t1000 (tptp.hAPP @t1817 @t1906))) % 6.43/6.68 (define @t1908 () (tptp.hAPP @t1000 (tptp.hAPP @t1818 @t1906))) % 6.43/6.68 (define @t1909 () (tptp.hAPP (tptp.hAPP @t864 (tptp.hAPP @t1908 @t1152)) (tptp.hAPP @t1907 @t1153))) % 6.43/6.68 (define @t1910 () (tptp.hBOOL (tptp.hAPP @t1214 @t1165))) % 6.43/6.68 (define @t1911 () (tptp.hAPP @t1814 @t1152)) % 6.43/6.68 (define @t1912 () (= @t1896 @t1895)) % 6.43/6.68 (define @t1913 () (tptp.hAPP @t1182 @t1165)) % 6.43/6.68 (define @t1914 () (tptp.hAPP @t1721 @t690)) % 6.43/6.68 (define @t1915 () (tptp.hAPP (tptp.hAPP @t1705 @t2) @t1703)) % 6.43/6.68 (define @t1916 () (tptp.hAPP @t1915 @t392)) % 6.43/6.68 (define @t1917 () (tptp.hAPP (tptp.hAPP @t193 @t392) @t1597)) % 6.43/6.68 (define @t1918 () (= @t5 @t1703)) % 6.43/6.68 (define @t1919 () (tptp.hBOOL (tptp.hAPP @t232 (tptp.hAPP (tptp.hAPP @t729 @t392) @t1597)))) % 6.43/6.68 (define @t1920 () (forall @t7 (=> @t1919 @t1918))) % 6.43/6.68 (define @t1921 () (tptp.hBOOL (tptp.hAPP @t359 @t1597))) % 6.43/6.68 (define @t1922 () (@list @t2 @t1597 @t392 @t8 @t47)) % 6.43/6.68 (define @t1923 () (not @t252)) % 6.43/6.68 (define @t1924 () (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t1725 @t109 @t51)) % 6.43/6.68 (define @t1925 () (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t51)) % 6.43/6.68 (define @t1926 () (tptp.c_Orderings_Oord__class_Omin @t8)) % 6.43/6.68 (define @t1927 () (tptp.hAPP @t1926 @t61)) % 6.43/6.68 (define @t1928 () (tptp.hAPP @t1927 (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t530))) % 6.43/6.68 (define @t1929 () (= @t1881 @t61)) % 6.43/6.68 (define @t1930 () (tptp.c_Orderings_Oord__class_Omax @t8)) % 6.43/6.68 (define @t1931 () (tptp.hAPP @t1930 @t61)) % 6.43/6.68 (define @t1932 () (tptp.hAPP @t1931 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t530))) % 6.43/6.68 (define @t1933 () (= @t1882 @t61)) % 6.43/6.68 (define @t1934 () (tptp.hBOOL (tptp.hAPP @t1292 (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t225)))) % 6.43/6.68 (define @t1935 () (tptp.hAPP @t1930 @t255)) % 6.43/6.68 (define @t1936 () (tptp.hAPP @t1926 @t255)) % 6.43/6.68 (define @t1937 () (tptp.hAPP @t1930 @t38)) % 6.43/6.68 (define @t1938 () (tptp.hAPP @t1935 @t38)) % 6.43/6.68 (define @t1939 () (tptp.hAPP @t1930 @t210)) % 6.43/6.68 (define @t1940 () (tptp.hAPP @t1939 @t132)) % 6.43/6.68 (define @t1941 () (tptp.hAPP @t1930 @t132)) % 6.43/6.68 (define @t1942 () (tptp.hAPP @t1941 @t210)) % 6.43/6.68 (define @t1943 () (tptp.hAPP @t1926 @t38)) % 6.43/6.68 (define @t1944 () (tptp.hAPP @t1936 @t38)) % 6.43/6.68 (define @t1945 () (tptp.hAPP @t1926 @t210)) % 6.43/6.68 (define @t1946 () (tptp.hAPP @t1945 @t132)) % 6.43/6.68 (define @t1947 () (tptp.hAPP @t1926 @t132)) % 6.43/6.68 (define @t1948 () (tptp.hAPP @t1947 @t210)) % 6.43/6.68 (define @t1949 () (tptp.hAPP @t1935 (tptp.hAPP @t1937 @t254))) % 6.43/6.68 (define @t1950 () (tptp.hAPP @t1941 @t272)) % 6.43/6.68 (define @t1951 () (tptp.hAPP @t1939 @t272)) % 6.43/6.68 (define @t1952 () (tptp.hAPP @t1941 @t1951)) % 6.43/6.68 (define @t1953 () (tptp.hAPP @t1936 (tptp.hAPP @t1943 @t254))) % 6.43/6.68 (define @t1954 () (tptp.hAPP @t1947 @t272)) % 6.43/6.68 (define @t1955 () (tptp.hAPP @t1945 @t272)) % 6.43/6.68 (define @t1956 () (tptp.hAPP @t1947 @t1955)) % 6.43/6.68 (define @t1957 () (tptp.hAPP (tptp.hAPP @t1926 @t1942) @t1950)) % 6.43/6.68 (define @t1958 () (tptp.hAPP @t1941 @t1955)) % 6.43/6.68 (define @t1959 () (tptp.hAPP (tptp.hAPP @t1930 @t1948) @t1954)) % 6.43/6.68 (define @t1960 () (tptp.hAPP @t1947 @t1951)) % 6.43/6.68 (define @t1961 () (tptp.hAPP @t158 @t315)) % 6.43/6.68 (define @t1962 () (tptp.hAPP @t1931 @t64)) % 6.43/6.68 (define @t1963 () (@list @t64 @t61 @t315 @t8)) % 6.43/6.68 (define @t1964 () (tptp.hAPP @t158 @t1938)) % 6.43/6.68 (define @t1965 () (tptp.hBOOL (tptp.hAPP @t1964 @t132))) % 6.43/6.68 (define @t1966 () (tptp.hBOOL (tptp.hAPP @t159 @t1938))) % 6.43/6.68 (define @t1967 () (tptp.hAPP @t1927 @t64)) % 6.43/6.68 (define @t1968 () (tptp.hBOOL (tptp.hAPP @t159 @t1944))) % 6.43/6.68 (define @t1969 () (tptp.hAPP @t158 @t1944)) % 6.43/6.68 (define @t1970 () (tptp.hBOOL (tptp.hAPP @t1969 @t132))) % 6.43/6.68 (define @t1971 () (tptp.hAPP @t158 @t1948)) % 6.43/6.68 (define @t1972 () (tptp.hBOOL (tptp.hAPP @t628 @t1938))) % 6.43/6.68 (define @t1973 () (tptp.hAPP @t627 @t315)) % 6.43/6.68 (define @t1974 () (tptp.hBOOL (tptp.hAPP @t1973 @t64))) % 6.43/6.68 (define @t1975 () (tptp.hBOOL (tptp.hAPP @t1973 @t61))) % 6.43/6.68 (define @t1976 () (tptp.hBOOL (tptp.hAPP @t629 @t315))) % 6.43/6.68 (define @t1977 () (tptp.hBOOL (tptp.hAPP @t631 @t315))) % 6.43/6.68 (define @t1978 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t1944) @t132))) % 6.43/6.68 (define @t1979 () (tptp.hAPP @t1382 @t272)) % 6.43/6.68 (define @t1980 () (tptp.hAPP (tptp.hAPP @t557 @t210) @t272)) % 6.43/6.68 (define @t1981 () (tptp.hAPP @t1369 @t272)) % 6.43/6.68 (define @t1982 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t1983 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t1984 () (tptp.hAPP (tptp.hAPP @t1983 @t1152) @t1153)) % 6.43/6.68 (define @t1985 () (tptp.c_Finite__Set_Ofold__graph @t8 @t47 @t2 @t315 @t56)) % 6.43/6.68 (define @t1986 () (= @t61 @t315)) % 6.43/6.68 (define @t1987 () (tptp.c_Finite__Set_Ofold__graph @t8 @t47 @t2 @t315 @t51)) % 6.43/6.68 (define @t1988 () (tptp.hBOOL (tptp.hAPP @t1987 @t61))) % 6.43/6.68 (define @t1989 () (tptp.hAPP @t627 @t3)) % 6.43/6.68 (define @t1990 () (tptp.hBOOL (tptp.hAPP @t1987 @t64))) % 6.43/6.68 (define @t1991 () (@list @t64 @t61 @t51 @t315 @t2 @t47 @t8)) % 6.43/6.68 (define @t1992 () (tptp.hAPP @t1982 @t1153)) % 6.43/6.68 (define @t1993 () (tptp.hAPP @t1267 @t1152)) % 6.43/6.68 (define @t1994 () (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t51)) % 6.43/6.68 (define @t1995 () (tptp.hAPP @t169 @t1994)) % 6.43/6.68 (define @t1996 () (tptp.hBOOL (tptp.hAPP @t1995 @t77))) % 6.43/6.68 (define @t1997 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t55 @t55)) % 6.43/6.68 (define @t1998 () (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t392)) % 6.43/6.68 (define @t1999 () (tptp.c_Finite__Set_Ofold__graph @t8 @t47 @t2 @t315 @t98)) % 6.43/6.68 (define @t2000 () (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t77)) % 6.43/6.68 (define @t2001 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t1930)) % 6.43/6.68 (define @t2002 () (tptp.hAPP @t2001 @t109)) % 6.43/6.68 (define @t2003 () (tptp.hAPP @t2002 @t51)) % 6.43/6.68 (define @t2004 () (tptp.hAPP @t1930 @t13)) % 6.43/6.68 (define @t2005 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t1926)) % 6.43/6.68 (define @t2006 () (tptp.hAPP @t2005 @t109)) % 6.43/6.68 (define @t2007 () (tptp.hAPP @t2006 @t51)) % 6.43/6.68 (define @t2008 () (tptp.hAPP @t1926 @t13)) % 6.43/6.68 (define @t2009 () (tptp.hAPP @t1931 @t1882)) % 6.43/6.68 (define @t2010 () (tptp.hAPP @t1927 @t1881)) % 6.43/6.68 (define @t2011 () (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t1356)) % 6.43/6.68 (define @t2012 () (tptp.hAPP @t1725 @t315)) % 6.43/6.68 (define @t2013 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t98)) % 6.43/6.68 (define @t2014 () (=> @t58 (= @t2013 @t2009))) % 6.43/6.68 (define @t2015 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t98)) % 6.43/6.68 (define @t2016 () (=> @t58 (= @t2015 @t2010))) % 6.43/6.68 (define @t2017 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t77)) % 6.43/6.68 (define @t2018 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t77)) % 6.43/6.68 (define @t2019 () (tptp.hAPP (tptp.hAPP @t1930 @t1882) @t2017)) % 6.43/6.68 (define @t2020 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t195)) % 6.43/6.68 (define @t2021 () (= @t2020 @t2019)) % 6.43/6.68 (define @t2022 () (tptp.hAPP (tptp.hAPP @t1926 @t1881) @t2018)) % 6.43/6.68 (define @t2023 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t195)) % 6.43/6.68 (define @t2024 () (= @t2023 @t2022)) % 6.43/6.68 (define @t2025 () (tptp.hAPP (tptp.hAPP @t2001 @t13) @t51)) % 6.43/6.68 (define @t2026 () (tptp.hAPP (tptp.hAPP @t2005 @t13) @t51)) % 6.43/6.68 (define @t2027 () (tptp.hAPP (tptp.hAPP @t2001 @t61) @t51)) % 6.43/6.68 (define @t2028 () (tptp.hAPP (tptp.hAPP @t2005 @t61) @t51)) % 6.43/6.68 (define @t2029 () (tptp.hAPP @t520 @t158)) % 6.43/6.68 (define @t2030 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 @t51)) % 6.43/6.68 (define @t2031 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 @t51)) % 6.43/6.68 (define @t2032 () (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t51)) % 6.43/6.68 (define @t2033 () (tptp.hAPP @t1927 @t2030)) % 6.43/6.68 (define @t2034 () (tptp.hAPP @t1931 @t2031)) % 6.43/6.68 (define @t2035 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 @t98)) % 6.43/6.68 (define @t2036 () (=> @t58 (= @t2035 @t2033))) % 6.43/6.68 (define @t2037 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 @t98)) % 6.43/6.68 (define @t2038 () (=> @t58 (= @t2037 @t2034))) % 6.43/6.68 (define @t2039 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 @t77)) % 6.43/6.68 (define @t2040 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 @t77)) % 6.43/6.68 (define @t2041 () (tptp.hAPP (tptp.hAPP @t1926 @t2030) @t2039)) % 6.43/6.68 (define @t2042 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 @t195)) % 6.43/6.68 (define @t2043 () (= @t2042 @t2041)) % 6.43/6.68 (define @t2044 () (tptp.hAPP (tptp.hAPP @t1930 @t2031) @t2040)) % 6.43/6.68 (define @t2045 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 @t195)) % 6.43/6.68 (define @t2046 () (= @t2045 @t2044)) % 6.43/6.68 (define @t2047 () (tptp.hAPP @t1927 (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 @t530))) % 6.43/6.68 (define @t2048 () (tptp.hAPP @t1931 (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 @t530))) % 6.43/6.68 (define @t2049 () (@var "B_y_H" $$unsorted)) % 6.43/6.68 (define @t2050 () (tptp.hAPP (tptp.hAPP @t1930 @t3) @t42)) % 6.43/6.68 (define @t2051 () (forall @t503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t2050) @t501)))) % 6.43/6.68 (define @t2052 () (tptp.hAPP (tptp.hAPP @t1926 @t3) @t42)) % 6.43/6.68 (define @t2053 () (forall @t503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t2052) @t501)))) % 6.43/6.68 (define @t2054 () (forall @t503 (= (tptp.hAPP @t356 @t2050) (tptp.hAPP (tptp.hAPP @t1930 @t511) @t510)))) % 6.43/6.68 (define @t2055 () (forall @t503 (= (tptp.hAPP @t356 @t2052) (tptp.hAPP (tptp.hAPP @t1926 @t511) @t510)))) % 6.43/6.68 (define @t2056 () (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t2 @t476 @t607)) % 6.43/6.68 (define @t2057 () (tptp.hAPP @t477 @t607)) % 6.43/6.68 (define @t2058 () (tptp.hAPP @t81 @t352)) % 6.43/6.68 (define @t2059 () (tptp.hAPP @t2058 @t354)) % 6.43/6.68 (define @t2060 () (tptp.hAPP @t89 @t157)) % 6.43/6.68 (define @t2061 () (tptp.c_Finite__Set_Ofold1 @t8 @t1725)) % 6.43/6.68 (define @t2062 () (= (tptp.hAPP @t2061 @t90) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t8 @t1725) @t13) @t51))) % 6.43/6.68 (define @t2063 () (tptp.c_Finite__Set_Ofold1 @t8 @t2)) % 6.43/6.68 (define @t2064 () (tptp.hAPP @t2063 @t51)) % 6.43/6.68 (define @t2065 () (=> @t363 (= @t460 @t2064))) % 6.43/6.68 (define @t2066 () (@list @t51 @t2 @t8)) % 6.43/6.68 (define @t2067 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t745) @t51)) % 6.43/6.68 (define @t2068 () (tptp.c_Finite__Set_Ofold1 @t8 @t1926)) % 6.43/6.68 (define @t2069 () (tptp.hAPP @t2068 @t51)) % 6.43/6.68 (define @t2070 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t1930) @t51)) % 6.43/6.68 (define @t2071 () (tptp.hBOOL (tptp.hAPP @t220 @t3))) % 6.43/6.68 (define @t2072 () (forall @t7 (=> @t234 @t2071))) % 6.43/6.68 (define @t2073 () (tptp.hAPP @t158 @t2069)) % 6.43/6.68 (define @t2074 () (tptp.hAPP @t2061 @t51)) % 6.43/6.68 (define @t2075 () (= (tptp.hAPP @t2061 @t98) (tptp.hAPP @t1774 @t2074))) % 6.43/6.68 (define @t2076 () (= (tptp.hAPP @t2061 @t195) (tptp.hAPP (tptp.hAPP @t1725 @t2074) (tptp.hAPP @t2061 @t77)))) % 6.43/6.68 (define @t2077 () (tptp.hAPP (tptp.hAPP @t1725 @t3) @t42)) % 6.43/6.68 (define @t2078 () (@var "B_X" $$unsorted)) % 6.43/6.68 (define @t2079 () (tptp.hAPP @t1295 @t2078)) % 6.43/6.68 (define @t2080 () (@list @t2078)) % 6.43/6.68 (define @t2081 () (tptp.c_Option_Omap @t8 @t47)) % 6.43/6.68 (define @t2082 () (tptp.hAPP (tptp.c_Option_Omap @t47 @t8) @t2)) % 6.43/6.68 (define @t2083 () (@var "V_opt_2" $$unsorted)) % 6.43/6.68 (define @t2084 () (@list @t61 @t2 @t8 @t47)) % 6.43/6.68 (define @t2085 () (@var "B_z" $$unsorted)) % 6.43/6.68 (define @t2086 () (@list @t2085)) % 6.43/6.68 (define @t2087 () (tptp.c_Option_Omap @t106 @t47)) % 6.43/6.68 (define @t2088 () (tptp.tc_Option_Ooption @t106)) % 6.43/6.68 (define @t2089 () (tptp.tc_fun @t106 @t47)) % 6.43/6.68 (define @t2090 () (tptp.c_COMBB @t47 @t48 @t8)) % 6.43/6.68 (define @t2091 () (tptp.hAPP (tptp.hAPP @t2090 tptp.c_fequal) @t2)) % 6.43/6.68 (define @t2092 () (tptp.hAPP @t1598 @t2091)) % 6.43/6.68 (define @t2093 () (not @t363)) % 6.43/6.68 (define @t2094 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t2095 () (tptp.hAPP tptp.c_Nat_OSuc @t2094)) % 6.43/6.68 (define @t2096 () (tptp.c_Map_Omap__of @t47 @t8)) % 6.43/6.68 (define @t2097 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 @t47)) % 6.43/6.68 (define @t2098 () (tptp.hAPP @t2097 @t1)) % 6.43/6.68 (define @t2099 () (tptp.hAPP @t1704 @t245)) % 6.43/6.68 (define @t2100 () (tptp.hAPP @t2099 (tptp.hAPP @t2098 @t530))) % 6.43/6.68 (define @t2101 () (tptp.hAPP @t2098 @t51)) % 6.43/6.68 (define @t2102 () (tptp.hAPP @t1184 @t2094)) % 6.43/6.68 (define @t2103 () (tptp.hAPP @t1199 @t2094)) % 6.43/6.68 (define @t2104 () (@list @t616 @t456 @t8)) % 6.43/6.68 (define @t2105 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 6.43/6.68 (define @t2106 () (= @t61 @t2105)) % 6.43/6.68 (define @t2107 () (tptp.c_Groups_Ozero__class_Ozero @t47)) % 6.43/6.68 (define @t2108 () (tptp.hAPP @t2097 @t2)) % 6.43/6.68 (define @t2109 () (tptp.hAPP @t2108 @t51)) % 6.43/6.68 (define @t2110 () (= @t2109 @t2107)) % 6.43/6.68 (define @t2111 () (= @t5 @t2107)) % 6.43/6.68 (define @t2112 () (exists @t7 (and @t234 @t2111))) % 6.43/6.68 (define @t2113 () (tptp.class_Rings_Ocomm__semiring__1 @t47)) % 6.43/6.68 (define @t2114 () (tptp.hBOOL (tptp.hAPP @t2103 @t5))) % 6.43/6.68 (define @t2115 () (forall @t7 (=> @t1366 @t2114))) % 6.43/6.68 (define @t2116 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t2117 () (tptp.hAPP @t2116 @t2)) % 6.43/6.68 (define @t2118 () (tptp.hBOOL (tptp.hAPP @t2103 (tptp.hAPP @t2117 @t392)))) % 6.43/6.68 (define @t2119 () (@list @t2 @t392 @t8)) % 6.43/6.68 (define @t2120 () (= (tptp.hAPP @t931 @t2105) @t255)) % 6.43/6.68 (define @t2121 () (tptp.class_Groups_Omonoid__add @t8)) % 6.43/6.68 (define @t2122 () (= @t13 @t2105)) % 6.43/6.68 (define @t2123 () (tptp.hAPP @t937 @t13)) % 6.43/6.68 (define @t2124 () (tptp.hAPP @t928 @t2105)) % 6.43/6.68 (define @t2125 () (= (tptp.hAPP @t2124 @t255) @t255)) % 6.43/6.68 (define @t2126 () (= @t38 @t2105)) % 6.43/6.68 (define @t2127 () (= @t255 @t2105)) % 6.43/6.68 (define @t2128 () (= @t1731 @t2105)) % 6.43/6.68 (define @t2129 () (tptp.class_Rings_Ono__zero__divisors @t8)) % 6.43/6.68 (define @t2130 () (not @t2126)) % 6.43/6.68 (define @t2131 () (not @t2127)) % 6.43/6.68 (define @t2132 () (= @t109 @t2105)) % 6.43/6.68 (define @t2133 () (tptp.hAPP @t1767 @t109)) % 6.43/6.68 (define @t2134 () (= (tptp.hAPP @t1726 @t2105) @t2105)) % 6.43/6.68 (define @t2135 () (tptp.class_Rings_Omult__zero @t8)) % 6.43/6.68 (define @t2136 () (= (tptp.hAPP (tptp.hAPP @t1725 @t2105) @t255) @t2105)) % 6.43/6.68 (define @t2137 () (= @t599 @t2105)) % 6.43/6.68 (define @t2138 () (tptp.class_Rings_Ozero__neq__one @t8)) % 6.43/6.68 (define @t2139 () (@var "V_nat_H_1" $$unsorted)) % 6.43/6.68 (define @t2140 () (@var "V_nat_H" $$unsorted)) % 6.43/6.68 (define @t2141 () (tptp.hBOOL (tptp.hAPP @t2103 @t1153))) % 6.43/6.68 (define @t2142 () (= @t1153 @t2094)) % 6.43/6.68 (define @t2143 () (not @t2142)) % 6.43/6.68 (define @t2144 () (tptp.hBOOL (tptp.hAPP @t2103 @t692))) % 6.43/6.68 (define @t2145 () (= @t692 @t2094)) % 6.43/6.68 (define @t2146 () (not @t2145)) % 6.43/6.68 (define @t2147 () (= @t337 @t2094)) % 6.43/6.68 (define @t2148 () (tptp.hAPP @t1228 @t692)) % 6.43/6.68 (define @t2149 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t47 @t8)) % 6.43/6.68 (define @t2150 () (tptp.hAPP @t2149 @t1)) % 6.43/6.68 (define @t2151 () (tptp.hAPP @t2149 @t2)) % 6.43/6.68 (define @t2152 () (tptp.hAPP @t2151 @t51)) % 6.43/6.68 (define @t2153 () (= @t1171 @t2094)) % 6.43/6.68 (define @t2154 () (= @t690 @t2094)) % 6.43/6.68 (define @t2155 () (tptp.hAPP @t1914 @t692)) % 6.43/6.68 (define @t2156 () (tptp.hAPP @t1914 @t337)) % 6.43/6.68 (define @t2157 () (= @t2156 @t2155)) % 6.43/6.68 (define @t2158 () (or @t1203 @t2154)) % 6.43/6.68 (define @t2159 () (tptp.hAPP @t1721 @t692)) % 6.43/6.68 (define @t2160 () (tptp.hAPP @t2159 @t690)) % 6.43/6.68 (define @t2161 () (tptp.hAPP @t1827 @t690)) % 6.43/6.68 (define @t2162 () (tptp.c_COMBK @t8 @t47)) % 6.43/6.68 (define @t2163 () (@list @t51 @t47 @t8)) % 6.43/6.68 (define @t2164 () (tptp.hAPP @t1983 @t1153)) % 6.43/6.68 (define @t2165 () (tptp.hAPP @t2162 @t2105)) % 6.43/6.68 (define @t2166 () (@list @t1 @t47 @t8)) % 6.43/6.68 (define @t2167 () (=> @t2093 (= @t2101 @t1703))) % 6.43/6.68 (define @t2168 () (@list @t1 @t51 @t8 @t47)) % 6.43/6.68 (define @t2169 () (= @t5 @t1615)) % 6.43/6.68 (define @t2170 () (tptp.hBOOL (tptp.hAPP @t232 @t123))) % 6.43/6.68 (define @t2171 () (@list @t2 @t123 @t8)) % 6.43/6.68 (define @t2172 () (tptp.hAPP @t1704 @t2101)) % 6.43/6.68 (define @t2173 () (tptp.hBOOL (tptp.hAPP @t258 @t2105))) % 6.43/6.68 (define @t2174 () (tptp.hBOOL (tptp.hAPP @t256 @t2105))) % 6.43/6.68 (define @t2175 () (tptp.class_Groups_Oordered__comm__monoid__add @t8)) % 6.43/6.68 (define @t2176 () (tptp.hBOOL (tptp.hAPP @t258 @t946))) % 6.43/6.68 (define @t2177 () (tptp.hAPP @t158 @t2105)) % 6.43/6.68 (define @t2178 () (tptp.hBOOL (tptp.hAPP @t2177 @t254))) % 6.43/6.68 (define @t2179 () (@list @t255 @t38 @t254 @t8)) % 6.43/6.68 (define @t2180 () (tptp.hBOOL (tptp.hAPP @t2177 @t255))) % 6.43/6.68 (define @t2181 () (= @t64 @t2105)) % 6.43/6.68 (define @t2182 () (and @t2106 @t2181)) % 6.43/6.68 (define @t2183 () (tptp.hAPP @t928 @t61)) % 6.43/6.68 (define @t2184 () (tptp.hAPP @t2183 @t64)) % 6.43/6.68 (define @t2185 () (tptp.hBOOL (tptp.hAPP @t2177 @t38))) % 6.43/6.68 (define @t2186 () (tptp.hBOOL (tptp.hAPP @t597 @t2105))) % 6.43/6.68 (define @t2187 () (tptp.hBOOL (tptp.hAPP @t2177 @t13))) % 6.43/6.68 (define @t2188 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1731) @t2105))) % 6.43/6.68 (define @t2189 () (tptp.class_Rings_Oordered__cancel__semiring @t8)) % 6.43/6.68 (define @t2190 () (tptp.hBOOL (tptp.hAPP @t2177 @t1731))) % 6.43/6.68 (define @t2191 () (tptp.hAPP @t1732 @t446)) % 6.43/6.68 (define @t2192 () (tptp.hAPP @t158 @t1757)) % 6.43/6.68 (define @t2193 () (=> @t2178 (tptp.hBOOL (tptp.hAPP @t2192 @t2191)))) % 6.43/6.68 (define @t2194 () (tptp.class_Rings_Oordered__semiring @t8)) % 6.43/6.68 (define @t2195 () (tptp.hAPP @t1725 @t254)) % 6.43/6.68 (define @t2196 () (tptp.hAPP @t2195 @t38)) % 6.43/6.68 (define @t2197 () (tptp.hAPP @t2195 @t255)) % 6.43/6.68 (define @t2198 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2197) @t2196))) % 6.43/6.68 (define @t2199 () (tptp.hBOOL (tptp.hAPP @t263 @t2105))) % 6.43/6.68 (define @t2200 () (tptp.hBOOL (tptp.hAPP @t2192 @t1733))) % 6.43/6.68 (define @t2201 () (=> @t269 (=> @t2178 @t2198))) % 6.43/6.68 (define @t2202 () (tptp.hBOOL (tptp.hAPP @t2177 @t109))) % 6.43/6.68 (define @t2203 () (tptp.hBOOL (tptp.hAPP @t1323 @t2105))) % 6.43/6.68 (define @t2204 () (or (and @t2187 @t2203) (and @t2186 @t2202))) % 6.43/6.68 (define @t2205 () (tptp.class_Rings_Olinordered__ring__strict @t8)) % 6.43/6.68 (define @t2206 () (or (and @t2187 @t2202) (and @t2186 @t2203))) % 6.43/6.68 (define @t2207 () (tptp.class_Rings_Olinordered__ring @t8)) % 6.43/6.68 (define @t2208 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t932) @t2105))) % 6.43/6.68 (define @t2209 () (tptp.hBOOL (tptp.hAPP @t642 @t2105))) % 6.43/6.68 (define @t2210 () (=> @t2209 @t2208)) % 6.43/6.68 (define @t2211 () (tptp.hBOOL (tptp.hAPP @t644 @t2105))) % 6.43/6.68 (define @t2212 () (tptp.hAPP @t627 @t2105)) % 6.43/6.68 (define @t2213 () (tptp.hBOOL (tptp.hAPP @t2212 @t932))) % 6.43/6.68 (define @t2214 () (tptp.hBOOL (tptp.hAPP @t2212 @t38))) % 6.43/6.68 (define @t2215 () (=> @t2214 @t2213)) % 6.43/6.68 (define @t2216 () (tptp.hBOOL (tptp.hAPP @t2212 @t255))) % 6.43/6.68 (define @t2217 () (tptp.hBOOL (tptp.hAPP @t672 @t2105))) % 6.43/6.68 (define @t2218 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2123) @t2105)) @t2217)) % 6.43/6.68 (define @t2219 () (tptp.hBOOL (tptp.hAPP @t2212 @t13))) % 6.43/6.68 (define @t2220 () (tptp.hBOOL (tptp.hAPP @t642 @t946))) % 6.43/6.68 (define @t2221 () (=> @t648 @t2220)) % 6.43/6.68 (define @t2222 () (tptp.hBOOL (tptp.hAPP @t1328 @t13))) % 6.43/6.68 (define @t2223 () (tptp.hBOOL (tptp.hAPP @t670 @t2105))) % 6.43/6.68 (define @t2224 () (tptp.hBOOL (tptp.hAPP @t2212 @t18))) % 6.43/6.68 (define @t2225 () (or (and @t2224 @t673) (and @t2223 @t2222))) % 6.43/6.68 (define @t2226 () (tptp.hAPP @t627 @t1768)) % 6.43/6.68 (define @t2227 () (tptp.hAPP @t1725 @t18)) % 6.43/6.68 (define @t2228 () (tptp.hAPP @t2227 @t109)) % 6.43/6.68 (define @t2229 () (tptp.hAPP @t2227 @t13)) % 6.43/6.68 (define @t2230 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2229) @t2228))) % 6.43/6.68 (define @t2231 () (tptp.hBOOL (tptp.hAPP @t2212 @t1731))) % 6.43/6.68 (define @t2232 () (tptp.class_Rings_Olinordered__semiring__strict @t8)) % 6.43/6.68 (define @t2233 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t1731) @t2105))) % 6.43/6.68 (define @t2234 () (=> @t2216 @t2214)) % 6.43/6.68 (define @t2235 () (tptp.hAPP @t627 @t1757)) % 6.43/6.68 (define @t2236 () (tptp.hBOOL (tptp.hAPP @t2235 @t1733))) % 6.43/6.68 (define @t2237 () (tptp.hBOOL (tptp.hAPP @t2212 @t254))) % 6.43/6.68 (define @t2238 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2197) @t2196))) % 6.43/6.68 (define @t2239 () (=> @t645 (=> @t2237 @t2238))) % 6.43/6.68 (define @t2240 () (tptp.hBOOL (tptp.hAPP @t649 @t2105))) % 6.43/6.68 (define @t2241 () (tptp.hAPP (tptp.hAPP @t928 @t1854) (tptp.hAPP (tptp.hAPP @t1725 @t64) @t64))) % 6.43/6.68 (define @t2242 () (@var "V_r" $$unsorted)) % 6.43/6.68 (define @t2243 () (tptp.hAPP @t1725 @t2242)) % 6.43/6.68 (define @t2244 () (tptp.hAPP @t158 @t1625)) % 6.43/6.68 (define @t2245 () (= (tptp.hAPP @t1332 @t255) @t2105)) % 6.43/6.68 (define @t2246 () (=> @t2093 (= @t908 @t2107))) % 6.43/6.68 (define @t2247 () (= @t692 (tptp.hAPP tptp.c_Nat_OSuc @t1633))) % 6.43/6.68 (define @t2248 () (@var "B_j" $$unsorted)) % 6.43/6.68 (define @t2249 () (tptp.hAPP @t1199 @t2248)) % 6.43/6.68 (define @t2250 () (@list @t2248)) % 6.43/6.68 (define @t2251 () (= @t692 @t2095)) % 6.43/6.68 (define @t2252 () (= @t337 @t2095)) % 6.43/6.68 (define @t2253 () (or (and @t2252 @t2145) (and @t2147 @t2251))) % 6.43/6.68 (define @t2254 () (tptp.c_Map_Omap__of @t8 @t47)) % 6.43/6.68 (define @t2255 () (tptp.hAPP @t2254 @t1653)) % 6.43/6.68 (define @t2256 () (tptp.hBOOL (tptp.hAPP @t2103 @t337))) % 6.43/6.68 (define @t2257 () (= @t1386 @t2094)) % 6.43/6.68 (define @t2258 () (=> @t2093 @t2257)) % 6.43/6.68 (define @t2259 () (tptp.hBOOL (tptp.hAPP @t2103 @t1152))) % 6.43/6.68 (define @t2260 () (tptp.hAPP @t1260 @t337)) % 6.43/6.68 (define @t2261 () (tptp.hBOOL (tptp.hAPP @t2103 @t690))) % 6.43/6.68 (define @t2262 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t2156) @t2155))) % 6.43/6.68 (define @t2263 () (and @t2261 @t1205)) % 6.43/6.68 (define @t2264 () (tptp.hBOOL (tptp.hAPP @t2103 @t1161))) % 6.43/6.68 (define @t2265 () (tptp.hAPP @t1262 @t692)) % 6.43/6.68 (define @t2266 () (= @t1152 @t2094)) % 6.43/6.68 (define @t2267 () (tptp.hAPP @t616 @t1736)) % 6.43/6.68 (define @t2268 () (@list @t1736 @t616 @t456 @t8)) % 6.43/6.68 (define @t2269 () (tptp.c_COMBC @t8 @t47 @t47)) % 6.43/6.68 (define @t2270 () (tptp.hAPP @t2269 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1393 @t1539)) @t109))) % 6.43/6.68 (define @t2271 () (tptp.hAPP (tptp.hAPP @t2097 (tptp.hAPP @t2270 @t1703)) @t392)) % 6.43/6.68 (define @t2272 () (tptp.hBOOL (tptp.hAPP @t175 @t392))) % 6.43/6.68 (define @t2273 () (not @t2272)) % 6.43/6.68 (define @t2274 () (tptp.hAPP @t109 @t13)) % 6.43/6.68 (define @t2275 () (@list @t109 @t13 @t392 @t8 @t47)) % 6.43/6.68 (define @t2276 () (tptp.hAPP @t2269 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1393 @t522)) @t109))) % 6.43/6.68 (define @t2277 () (tptp.hAPP (tptp.hAPP @t2097 (tptp.hAPP @t2276 @t1703)) @t392)) % 6.43/6.68 (define @t2278 () (=> @t2237 @t269)) % 6.43/6.68 (define @t2279 () (=> @t2178 @t645)) % 6.43/6.68 (define @t2280 () (=> @t2238 @t2279)) % 6.43/6.68 (define @t2281 () (tptp.class_Rings_Olinordered__semiring @t8)) % 6.43/6.68 (define @t2282 () (=> @t2236 @t2279)) % 6.43/6.68 (define @t2283 () (tptp.hBOOL (tptp.hAPP @t2235 @t2191))) % 6.43/6.68 (define @t2284 () (=> @t2178 @t2283)) % 6.43/6.68 (define @t2285 () (tptp.hBOOL (tptp.hAPP @t1323 @t13))) % 6.43/6.68 (define @t2286 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2229) @t2228))) % 6.43/6.68 (define @t2287 () (tptp.hAPP @t1725 @t210)) % 6.43/6.68 (define @t2288 () (tptp.hAPP (tptp.hAPP @t928 @t1730) (tptp.hAPP @t2287 @t210))) % 6.43/6.68 (define @t2289 () (not @t2181)) % 6.43/6.68 (define @t2290 () (or (not @t2106) @t2289)) % 6.43/6.68 (define @t2291 () (tptp.hAPP @t2287 @t132)) % 6.43/6.68 (define @t2292 () (tptp.hBOOL (tptp.hAPP @t211 @t1625))) % 6.43/6.68 (define @t2293 () (tptp.hBOOL (tptp.hAPP @t2177 @t210))) % 6.43/6.68 (define @t2294 () (tptp.hBOOL (tptp.hAPP @t2177 @t132))) % 6.43/6.68 (define @t2295 () (tptp.hBOOL (tptp.hAPP @t2103 @t1386))) % 6.43/6.68 (define @t2296 () (tptp.hAPP @t1199 @t2095)) % 6.43/6.68 (define @t2297 () (tptp.hBOOL (tptp.hAPP @t2296 @t1152))) % 6.43/6.68 (define @t2298 () (tptp.hBOOL (tptp.hAPP @t2296 @t1153))) % 6.43/6.68 (define @t2299 () (@var "B_d" $$unsorted)) % 6.43/6.68 (define @t2300 () (tptp.hAPP @t136 @t2299)) % 6.43/6.68 (define @t2301 () (tptp.hBOOL @t2300)) % 6.43/6.68 (define @t2302 () (= @t13 (tptp.hAPP (tptp.hAPP @t1000 @t109) @t2299))) % 6.43/6.68 (define @t2303 () (@list @t2299)) % 6.43/6.68 (define @t2304 () (tptp.hBOOL (tptp.hAPP @t136 @t2094))) % 6.43/6.68 (define @t2305 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t13) @t109))) % 6.43/6.68 (define @t2306 () (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t864 @t13) @t109)))) % 6.43/6.68 (define @t2307 () (@list @t109 @t13 @t136)) % 6.43/6.68 (define @t2308 () (not @t2304)) % 6.43/6.68 (define @t2309 () (tptp.hAPP @t1184 @t2095)) % 6.43/6.68 (define @t2310 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t2156) @t2155))) % 6.43/6.68 (define @t2311 () (=> @t2261 @t1208)) % 6.43/6.68 (define @t2312 () (tptp.hAPP @t2098 @t98)) % 6.43/6.68 (define @t2313 () (tptp.hAPP @t2 @t813)) % 6.43/6.68 (define @t2314 () (tptp.hBOOL (tptp.hAPP @t816 @t51))) % 6.43/6.68 (define @t2315 () (forall @t817 (=> @t2314 (=> @t815 (= @t2313 @t2094))))) % 6.43/6.68 (define @t2316 () (@list @t2 @t51 @t8)) % 6.43/6.68 (define @t2317 () (tptp.hAPP @t2172 (tptp.hAPP @t2098 @t77))) % 6.43/6.68 (define @t2318 () (tptp.hAPP @t2098 @t195)) % 6.43/6.68 (define @t2319 () (tptp.hAPP (tptp.hAPP @t719 (tptp.hAPP @t2270 @t2107)) @t392)) % 6.43/6.68 (define @t2320 () (tptp.hAPP (tptp.hAPP @t719 (tptp.hAPP @t2276 @t2107)) @t392)) % 6.43/6.68 (define @t2321 () (=> @t363 (= @t2101 @t1708))) % 6.43/6.68 (define @t2322 () (tptp.hAPP tptp.c_Nat_OSuc @t1034)) % 6.43/6.68 (define @t2323 () (tptp.c_COMBC tptp.tc_Nat_Onat @t1623 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t2324 () (tptp.hAPP @t2323 @t1634)) % 6.43/6.68 (define @t2325 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t2326 () (tptp.hAPP @t2325 (tptp.hAPP @t1426 (tptp.hAPP (tptp.hAPP @t1642 (tptp.hAPP @t1641 (tptp.hAPP @t2324 @t1033))) (tptp.hAPP @t1425 @t2322))))) % 6.43/6.68 (define @t2327 () (tptp.tc_fun @t1623 tptp.tc_HOL_Obool)) % 6.43/6.68 (define @t2328 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2327 tptp.tc_Nat_Onat) @t1634)) % 6.43/6.68 (define @t2329 () (tptp.hAPP @t2323 (tptp.hAPP @t2328 tptp.c_Nat_OSuc))) % 6.43/6.68 (define @t2330 () (tptp.hAPP @t2325 (tptp.hAPP @t1426 (tptp.hAPP (tptp.hAPP @t1642 (tptp.hAPP @t1641 (tptp.hAPP @t2329 @t1033))) @t1640)))) % 6.43/6.68 (define @t2331 () (tptp.hAPP @t1634 @t2094)) % 6.43/6.68 (define @t2332 () (tptp.hBOOL (tptp.hAPP @t2331 @t1033))) % 6.43/6.68 (define @t2333 () (@list @t1034 @t1033)) % 6.43/6.68 (define @t2334 () (@var "V_xys_2" $$unsorted)) % 6.43/6.68 (define @t2335 () (tptp.hAPP @t2096 @t2334)) % 6.43/6.68 (define @t2336 () (@list @t2334 @t47 @t8)) % 6.43/6.68 (define @t2337 () (@var "V_v" $$unsorted)) % 6.43/6.68 (define @t2338 () (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP (tptp.hAPP @t1725 @t1906) @t132)) (tptp.hAPP (tptp.hAPP @t1725 @t2337) @t210))) % 6.43/6.68 (define @t2339 () (= (tptp.hAPP (tptp.hAPP @t928 @t1906) @t2337) @t1625)) % 6.43/6.68 (define @t2340 () (tptp.hBOOL (tptp.hAPP @t2177 @t2337))) % 6.43/6.68 (define @t2341 () (tptp.hBOOL (tptp.hAPP @t2177 @t1906))) % 6.43/6.68 (define @t2342 () (@list @t2337 @t1906 @t210 @t255 @t132 @t8)) % 6.43/6.68 (define @t2343 () (= @t2318 @t2317)) % 6.43/6.68 (define @t2344 () (=> @t363 (= @t908 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t47 @t8 @t912) @t1) @t2107) @t51)))) % 6.43/6.68 (define @t2345 () (tptp.hAPP @t1267 @t1615)) % 6.43/6.68 (define @t2346 () (tptp.hAPP tptp.c_Nat_OSuc @t2345)) % 6.43/6.68 (define @t2347 () (not @t2266)) % 6.43/6.68 (define @t2348 () (tptp.hAPP (tptp.hAPP @t719 (tptp.hAPP (tptp.hAPP @t2269 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1393 @t1535)) @t2)) @t2107)) @t51)) % 6.43/6.68 (define @t2349 () (@list @t77 @t2 @t51 @t8 @t47)) % 6.43/6.68 (define @t2350 () (=> @t363 (= @t1386 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t8 @t1000) @t1627) @t2094) @t51)))) % 6.43/6.68 (define @t2351 () (@var "V_fa_2" $$unsorted)) % 6.43/6.68 (define @t2352 () (= @t1615 @t2094)) % 6.43/6.68 (define @t2353 () (tptp.hBOOL (tptp.hAPP @t232 @t731))) % 6.43/6.68 (define @t2354 () (tptp.hAPP @t201 @t721)) % 6.43/6.68 (define @t2355 () (tptp.hBOOL (tptp.hAPP @t2354 @t880))) % 6.43/6.68 (define @t2356 () (@var "B_b" $$unsorted)) % 6.43/6.68 (define @t2357 () (tptp.hAPP @t201 @t2107)) % 6.43/6.68 (define @t2358 () (tptp.hAPP @t154 @t2356)) % 6.43/6.68 (define @t2359 () (@list @t2356)) % 6.43/6.68 (define @t2360 () (@list @t2 @t51 @t77 @t8 @t47)) % 6.43/6.68 (define @t2361 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t2362 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t2363 () (tptp.hAPP @t2362 tptp.c_Nat_OSuc)) % 6.43/6.68 (define @t2364 () (tptp.hAPP @t1982 @t692)) % 6.43/6.68 (define @t2365 () (tptp.hAPP @t1982 @t1780)) % 6.43/6.68 (define @t2366 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t2367 () (tptp.hAPP @t1983 @t692)) % 6.43/6.68 (define @t2368 () (tptp.hAPP @t1983 @t1780)) % 6.43/6.68 (define @t2369 () (= (= @t2123 @t2105) @t2122)) % 6.43/6.68 (define @t2370 () (tptp.hAPP @t2108 @t1597)) % 6.43/6.68 (define @t2371 () (tptp.hAPP @t2108 @t392)) % 6.43/6.68 (define @t2372 () (tptp.hAPP @t1260 @t1615)) % 6.43/6.68 (define @t2373 () (tptp.hAPP @t1000 @t13)) % 6.43/6.68 (define @t2374 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t2375 () (tptp.hAPP @t2374 @t692)) % 6.43/6.68 (define @t2376 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t2377 () (tptp.hAPP tptp.c_Nat_OSuc @t2095)) % 6.43/6.68 (define @t2378 () (@list @t692 @t116 @t13)) % 6.43/6.68 (define @t2379 () (tptp.hAPP @t720 @t1597)) % 6.43/6.68 (define @t2380 () (tptp.hAPP @t720 @t392)) % 6.43/6.68 (define @t2381 () (@var "B_B" $$unsorted)) % 6.43/6.68 (define @t2382 () (tptp.hBOOL (tptp.hAPP @t2357 @t5))) % 6.43/6.68 (define @t2383 () (tptp.class_Groups_Oordered__ab__semigroup__add @t47)) % 6.43/6.68 (define @t2384 () (tptp.hAPP @t2374 @t690)) % 6.43/6.68 (define @t2385 () (tptp.c_SetInterval_Oord__class_OlessThan @t8)) % 6.43/6.68 (define @t2386 () (tptp.hAPP @t2385 @t64)) % 6.43/6.68 (define @t2387 () (tptp.hAPP @t2385 @t61)) % 6.43/6.68 (define @t2388 () (tptp.c_Orderings_Obot__class_Obot @t1623)) % 6.43/6.68 (define @t2389 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t2390 () (tptp.hAPP @t2389 @t690)) % 6.43/6.68 (define @t2391 () (tptp.hAPP @t2374 @t1720)) % 6.43/6.68 (define @t2392 () (@list @t1137)) % 6.43/6.68 (define @t2393 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t1623) @t1624)) % 6.43/6.68 (define @t2394 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 6.43/6.68 (define @t2395 () (tptp.hAPP @t2389 @t2094)) % 6.43/6.68 (define @t2396 () (tptp.hAPP @t2374 @t1780)) % 6.43/6.68 (define @t2397 () (tptp.hAPP @t2 @t692)) % 6.43/6.68 (define @t2398 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t8)) % 6.43/6.68 (define @t2399 () (tptp.hAPP @t2398 @t2)) % 6.43/6.68 (define @t2400 () (@list @t692 @t2 @t8)) % 6.43/6.68 (define @t2401 () (tptp.hAPP @t2385 @t690)) % 6.43/6.68 (define @t2402 () (@list @t690 @t1034 @t8)) % 6.43/6.68 (define @t2403 () (tptp.hAPP @t627 @t337)) % 6.43/6.68 (define @t2404 () (@list @t692 @t337 @t8)) % 6.43/6.68 (define @t2405 () (tptp.hAPP (tptp.hAPP @t81 @t690) @t56)) % 6.43/6.68 (define @t2406 () (@list @t690 @t8)) % 6.43/6.68 (define @t2407 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8)) % 6.43/6.68 (define @t2408 () (tptp.hAPP @t2407 @t692)) % 6.43/6.68 (define @t2409 () (tptp.hAPP @t1725 @t2408)) % 6.43/6.68 (define @t2410 () (tptp.c_COMBB @t8 @t769 tptp.tc_Nat_Onat)) % 6.43/6.68 (define @t2411 () (tptp.hAPP @t1385 @t392)) % 6.43/6.68 (define @t2412 () (tptp.c_Power_Opower__class_Opower @t47)) % 6.43/6.68 (define @t2413 () (tptp.hAPP @t2412 @t18)) % 6.43/6.68 (define @t2414 () (tptp.hAPP (tptp.hAPP @t2097 (tptp.hAPP @t2276 @t18)) @t392)) % 6.43/6.68 (define @t2415 () (tptp.hAPP @t1000 (tptp.hAPP @t2351 @t13))) % 6.43/6.68 (define @t2416 () (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t1845 @t13)) @t13)) % 6.43/6.68 (define @t2417 () (tptp.c_Int_Oring__1__class_OInts @t8)) % 6.43/6.68 (define @t2418 () (tptp.hBOOL (tptp.hAPP @t175 @t2417))) % 6.43/6.68 (define @t2419 () (@list @t567 @t568)) % 6.43/6.68 (define @t2420 () (tptp.c_Sum__Type_OPlus @t8 @t47 @t51 @t77)) % 6.43/6.68 (define @t2421 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t1462) @t2420)) % 6.43/6.68 (define @t2422 () (and @t363 @t367)) % 6.43/6.68 (define @t2423 () (tptp.hAPP @t1562 @t77)) % 6.43/6.69 (define @t2424 () (= @t2421 (tptp.hAPP @t1583 @t2423))) % 6.43/6.69 (define @t2425 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2426 () (tptp.hAPP @t2425 @t1152)) % 6.43/6.69 (define @t2427 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2428 () (tptp.hAPP @t2427 (tptp.hAPP @t2425 @t1716))) % 6.43/6.69 (define @t2429 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2430 () (tptp.hAPP @t2429 @t2428)) % 6.43/6.69 (define @t2431 () (tptp.hAPP @t2407 @t337)) % 6.43/6.69 (define @t2432 () (tptp.class_Nat_Osemiring__char__0 @t8)) % 6.43/6.69 (define @t2433 () (tptp.c_Power_Opower__class_Opower @t8)) % 6.43/6.69 (define @t2434 () (tptp.hAPP @t2433 @t13)) % 6.43/6.69 (define @t2435 () (tptp.hAPP @t2434 @t692)) % 6.43/6.69 (define @t2436 () (tptp.class_Rings_Oring__1 @t8)) % 6.43/6.69 (define @t2437 () (@list @t692 @t13 @t8)) % 6.43/6.69 (define @t2438 () (tptp.hAPP @t154 @t2408)) % 6.43/6.69 (define @t2439 () (@list @t692 @t8)) % 6.43/6.69 (define @t2440 () (@var "V_q" $$unsorted)) % 6.43/6.69 (define @t2441 () (tptp.hAPP @t2433 @t210)) % 6.43/6.69 (define @t2442 () (tptp.hAPP @t2433 @t132)) % 6.43/6.69 (define @t2443 () (tptp.hAPP @t2442 @t2440)) % 6.43/6.69 (define @t2444 () (tptp.hAPP @t1725 @t2443)) % 6.43/6.69 (define @t2445 () (and @t2145 @t2147)) % 6.43/6.69 (define @t2446 () (tptp.hAPP @t2425 @t337)) % 6.43/6.69 (define @t2447 () (tptp.hAPP @t2425 @t692)) % 6.43/6.69 (define @t2448 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2449 () (tptp.hAPP @t2448 @t2447)) % 6.43/6.69 (define @t2450 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2451 () (tptp.hAPP @t2425 @t2094)) % 6.43/6.69 (define @t2452 () (tptp.hAPP @t2448 @t2450)) % 6.43/6.69 (define @t2453 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2454 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2455 () (tptp.hAPP @t2454 @t2453)) % 6.43/6.69 (define @t2456 () (tptp.hAPP @t2425 (tptp.hAPP tptp.c_Nat_OSuc @t1714))) % 6.43/6.69 (define @t2457 () (tptp.hAPP @t2454 @t1773)) % 6.43/6.69 (define @t2458 () (@list @t1714)) % 6.43/6.69 (define @t2459 () (tptp.hAPP @t2429 @t1773)) % 6.43/6.69 (define @t2460 () (tptp.hBOOL (tptp.hAPP @t2459 @t315))) % 6.43/6.69 (define @t2461 () (@list @t315 @t1773)) % 6.43/6.69 (define @t2462 () (tptp.hAPP @t2429 @t2446)) % 6.43/6.69 (define @t2463 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2464 () (tptp.hAPP @t2463 @t132)) % 6.43/6.69 (define @t2465 () (tptp.hAPP @t2464 @t210)) % 6.43/6.69 (define @t2466 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2467 () (tptp.hAPP @t2425 @t1155)) % 6.43/6.69 (define @t2468 () (tptp.hAPP @t2425 @t1153)) % 6.43/6.69 (define @t2469 () (tptp.hAPP @t2454 @t2426)) % 6.43/6.69 (define @t2470 () (@var "V_p" $$unsorted)) % 6.43/6.69 (define @t2471 () (tptp.hAPP @t1721 @t2470)) % 6.43/6.69 (define @t2472 () (tptp.hAPP @t2442 @t2470)) % 6.43/6.69 (define @t2473 () (@list @t2440 @t2470 @t132 @t8)) % 6.43/6.69 (define @t2474 () (tptp.hAPP @t2425 @t1739)) % 6.43/6.69 (define @t2475 () (tptp.hAPP (tptp.hAPP @t2466 @t2426) @t2468)) % 6.43/6.69 (define @t2476 () (tptp.hAPP @t2425 @t1615)) % 6.43/6.69 (define @t2477 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t8) @t2425) @t2)) % 6.43/6.69 (define @t2478 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2479 () (tptp.hAPP (tptp.hAPP @t2478 @t2477) @t51)) % 6.43/6.69 (define @t2480 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2481 () (tptp.hAPP (tptp.hAPP @t2480 @t2477) @t51)) % 6.43/6.69 (define @t2482 () (tptp.hAPP @t2117 @t51)) % 6.43/6.69 (define @t2483 () (tptp.hAPP @t1729 @t2443)) % 6.43/6.69 (define @t2484 () (tptp.hAPP @t2442 (tptp.hAPP tptp.c_Nat_OSuc @t2440))) % 6.43/6.69 (define @t2485 () (@list @t2440 @t132 @t8)) % 6.43/6.69 (define @t2486 () (tptp.hAPP @t2429 @t2450)) % 6.43/6.69 (define @t2487 () (tptp.hAPP @t2425 @t1161)) % 6.43/6.69 (define @t2488 () (tptp.hAPP @t2466 @t2487)) % 6.43/6.69 (define @t2489 () (tptp.hAPP @t2429 @t1165)) % 6.43/6.69 (define @t2490 () (tptp.hBOOL (tptp.hAPP @t2489 @t1162))) % 6.43/6.69 (define @t2491 () (tptp.hAPP @t2407 @t1153)) % 6.43/6.69 (define @t2492 () (@list @t1153 @t8)) % 6.43/6.69 (define @t2493 () (tptp.hAPP @t2407 @t1152)) % 6.43/6.69 (define @t2494 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2495 () (tptp.hAPP @t627 @t2493)) % 6.43/6.69 (define @t2496 () (tptp.class_Rings_Osemiring__1 @t8)) % 6.43/6.69 (define @t2497 () (tptp.hBOOL (tptp.hAPP @t2495 @t2491))) % 6.43/6.69 (define @t2498 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 @t47) @t2407) @t2)) % 6.43/6.69 (define @t2499 () (tptp.hAPP @t154 @t2105)) % 6.43/6.69 (define @t2500 () (tptp.hAPP @t154 @t939)) % 6.43/6.69 (define @t2501 () (tptp.hBOOL (tptp.hAPP @t188 @t2417))) % 6.43/6.69 (define @t2502 () (tptp.hAPP @t154 @t2133)) % 6.43/6.69 (define @t2503 () (tptp.hAPP @t154 @t1625)) % 6.43/6.69 (define @t2504 () (@list @t2351 @t8)) % 6.43/6.69 (define @t2505 () (@var "V_pname" $$unsorted)) % 6.43/6.69 (define @t2506 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t2505)) % 6.43/6.69 (define @t2507 () (@list @t2505)) % 6.43/6.69 (define @t2508 () (tptp.hAPP @t1562 @t51)) % 6.43/6.69 (define @t2509 () (@list @t238 @t102 @t241)) % 6.43/6.69 (define @t2510 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t2511 () (tptp.hAPP @t2510 @t2470)) % 6.43/6.69 (define @t2512 () (tptp.hAPP @t2511 @t1152)) % 6.43/6.69 (define @t2513 () (tptp.class_Int_Oring__char__0 @t8)) % 6.43/6.69 (define @t2514 () (tptp.hBOOL (tptp.hAPP @t1465 @t2420))) % 6.43/6.69 (define @t2515 () (tptp.hAPP (tptp.hAPP @t1000 (tptp.c_Com_Ocom_Ocom__size @t290)) @t2095)) % 6.43/6.69 (define @t2516 () (@list @t290 @t238)) % 6.43/6.69 (define @t2517 () (tptp.hAPP @t2433 @t38)) % 6.43/6.69 (define @t2518 () (tptp.hAPP @t2517 @t1153)) % 6.43/6.69 (define @t2519 () (tptp.hAPP @t2433 @t255)) % 6.43/6.69 (define @t2520 () (tptp.hAPP @t2519 @t1153)) % 6.43/6.69 (define @t2521 () (tptp.hAPP @t627 @t2520)) % 6.43/6.69 (define @t2522 () (tptp.hBOOL (tptp.hAPP @t2521 @t2518))) % 6.43/6.69 (define @t2523 () (@list @t1153 @t38 @t255 @t8)) % 6.43/6.69 (define @t2524 () (tptp.hBOOL (tptp.hAPP @t1836 @t255))) % 6.43/6.69 (define @t2525 () (@list @t1153 @t255 @t8)) % 6.43/6.69 (define @t2526 () (tptp.hAPP @t2519 @t1152)) % 6.43/6.69 (define @t2527 () (@list @t1153 @t1152 @t255 @t8)) % 6.43/6.69 (define @t2528 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t61) @t64))) % 6.43/6.69 (define @t2529 () (tptp.hAPP @t2433 @t109)) % 6.43/6.69 (define @t2530 () (tptp.hAPP @t2529 @t64)) % 6.43/6.69 (define @t2531 () (tptp.hAPP @t2529 @t61)) % 6.43/6.69 (define @t2532 () (tptp.hBOOL (tptp.hAPP @t1836 @t109))) % 6.43/6.69 (define @t2533 () (@list @t64 @t61 @t109 @t8)) % 6.43/6.69 (define @t2534 () (@var "V_N" $$unsorted)) % 6.43/6.69 (define @t2535 () (tptp.hAPP @t2519 @t2534)) % 6.43/6.69 (define @t2536 () (tptp.hBOOL (tptp.hAPP @t1211 @t2534))) % 6.43/6.69 (define @t2537 () (@list @t255 @t2534 @t1153 @t8)) % 6.43/6.69 (define @t2538 () (tptp.hAPP @t2427 @t2468)) % 6.43/6.69 (define @t2539 () (tptp.hAPP @t2448 @t2538)) % 6.43/6.69 (define @t2540 () (tptp.hAPP @t2425 @t1714)) % 6.43/6.69 (define @t2541 () (tptp.hAPP @t2448 @t1773)) % 6.43/6.69 (define @t2542 () (tptp.hBOOL (tptp.hAPP @t2541 @t315))) % 6.43/6.69 (define @t2543 () (tptp.hAPP (tptp.hAPP @t2463 @t2426) @t1153)) % 6.43/6.69 (define @t2544 () (tptp.hAPP (tptp.hAPP @t2510 @t1152) @t1153)) % 6.43/6.69 (define @t2545 () (tptp.hAPP @t2425 @t2544)) % 6.43/6.69 (define @t2546 () (@list @t1161)) % 6.43/6.69 (define @t2547 () (tptp.hAPP @t2455 @t272)) % 6.43/6.69 (define @t2548 () (tptp.hBOOL (tptp.hAPP @t2452 @t272))) % 6.43/6.69 (define @t2549 () (@list @t272)) % 6.43/6.69 (define @t2550 () (tptp.hBOOL (tptp.hAPP @t2486 @t315))) % 6.43/6.69 (define @t2551 () (tptp.hAPP @t2448 @t2453)) % 6.43/6.69 (define @t2552 () (@list @t315)) % 6.43/6.69 (define @t2553 () (tptp.hAPP @t2429 @t315)) % 6.43/6.69 (define @t2554 () (tptp.hBOOL (tptp.hAPP @t2553 @t2450))) % 6.43/6.69 (define @t2555 () (tptp.hAPP @t2427 @t272)) % 6.43/6.69 (define @t2556 () (tptp.hAPP @t2454 @t2555)) % 6.43/6.69 (define @t2557 () (tptp.hAPP @t2454 @t272)) % 6.43/6.69 (define @t2558 () (tptp.hAPP (tptp.hAPP @t2494 @t690) @t1653)) % 6.43/6.69 (define @t2559 () (tptp.hAPP @t2429 @t690)) % 6.43/6.69 (define @t2560 () (tptp.hBOOL (tptp.hAPP @t2559 @t1653))) % 6.43/6.69 (define @t2561 () (@list @t1653 @t690)) % 6.43/6.69 (define @t2562 () (and (= @t337 @t2453) (= @t692 @t2453))) % 6.43/6.69 (define @t2563 () (= (tptp.hAPP (tptp.hAPP @t2466 @t337) @t692) @t2453)) % 6.43/6.69 (define @t2564 () (tptp.hAPP @t2466 @t1161)) % 6.43/6.69 (define @t2565 () (tptp.hBOOL (tptp.hAPP @t2486 @t1161))) % 6.43/6.69 (define @t2566 () (@var "V_w" $$unsorted)) % 6.43/6.69 (define @t2567 () (@var "V_z2" $$unsorted)) % 6.43/6.69 (define @t2568 () (tptp.hAPP @t2466 @t2567)) % 6.43/6.69 (define @t2569 () (tptp.hAPP @t2568 @t2566)) % 6.43/6.69 (define @t2570 () (@var "V_z1" $$unsorted)) % 6.43/6.69 (define @t2571 () (tptp.hAPP @t2466 @t2570)) % 6.43/6.69 (define @t2572 () (tptp.hAPP @t2571 @t2566)) % 6.43/6.69 (define @t2573 () (tptp.hAPP @t2454 @t2570)) % 6.43/6.69 (define @t2574 () (tptp.hAPP @t2573 @t2567)) % 6.43/6.69 (define @t2575 () (@list @t2566 @t2567 @t2570)) % 6.43/6.69 (define @t2576 () (tptp.hAPP @t2466 @t2566)) % 6.43/6.69 (define @t2577 () (tptp.hAPP @t2576 @t2567)) % 6.43/6.69 (define @t2578 () (tptp.hAPP @t2576 @t2570)) % 6.43/6.69 (define @t2579 () (@list @t2567 @t2570 @t2566)) % 6.43/6.69 (define @t2580 () (@var "V_z3" $$unsorted)) % 6.43/6.69 (define @t2581 () (@list @t2580 @t2567 @t2570)) % 6.43/6.69 (define @t2582 () (tptp.hAPP @t2576 @t272)) % 6.43/6.69 (define @t2583 () (tptp.hAPP @t2466 @t272)) % 6.43/6.69 (define @t2584 () (tptp.hAPP @t2583 @t2566)) % 6.43/6.69 (define @t2585 () (@list @t2566 @t272)) % 6.43/6.69 (define @t2586 () (tptp.hAPP (tptp.hAPP @t2494 @t2570) @t2567)) % 6.43/6.69 (define @t2587 () (tptp.hAPP @t2429 @t210)) % 6.43/6.69 (define @t2588 () (tptp.hAPP @t2429 @t132)) % 6.43/6.69 (define @t2589 () (tptp.hAPP @t2454 @t1165)) % 6.43/6.69 (define @t2590 () (tptp.hAPP @t2454 @t132)) % 6.43/6.69 (define @t2591 () (tptp.hAPP @t2454 @t210)) % 6.43/6.69 (define @t2592 () (tptp.hAPP @t2454 @t2566)) % 6.43/6.69 (define @t2593 () (tptp.hAPP @t2592 @t272)) % 6.43/6.69 (define @t2594 () (tptp.hAPP @t2557 @t2566)) % 6.43/6.69 (define @t2595 () (tptp.hAPP @t2454 @t1161)) % 6.43/6.69 (define @t2596 () (tptp.hAPP @t2448 @t1165)) % 6.43/6.69 (define @t2597 () (tptp.hBOOL (tptp.hAPP @t2596 @t1162))) % 6.43/6.69 (define @t2598 () (tptp.hAPP @t2448 @t2566)) % 6.43/6.69 (define @t2599 () (tptp.hBOOL (tptp.hAPP @t2598 @t272))) % 6.43/6.69 (define @t2600 () (tptp.hAPP @t2448 @t272)) % 6.43/6.69 (define @t2601 () (tptp.hBOOL (tptp.hAPP @t2600 @t2566))) % 6.43/6.69 (define @t2602 () (@list @t2566)) % 6.43/6.69 (define @t2603 () (tptp.hAPP @t2427 @t2566)) % 6.43/6.69 (define @t2604 () (tptp.hAPP @t2494 @t272)) % 6.43/6.69 (define @t2605 () (tptp.hAPP @t2604 @t2566)) % 6.43/6.69 (define @t2606 () (tptp.hAPP @t2557 @t2603)) % 6.43/6.69 (define @t2607 () (tptp.hAPP @t2448 @t315)) % 6.43/6.69 (define @t2608 () (@list @t1773 @t315)) % 6.43/6.69 (define @t2609 () (@var "V_z_H" $$unsorted)) % 6.43/6.69 (define @t2610 () (@var "V_w_H" $$unsorted)) % 6.43/6.69 (define @t2611 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2609) @t272))) % 6.43/6.69 (define @t2612 () (= @t1773 @t315)) % 6.43/6.69 (define @t2613 () (tptp.hBOOL (tptp.hAPP @t2459 (tptp.hAPP (tptp.hAPP @t2454 @t315) @t2453)))) % 6.43/6.69 (define @t2614 () (tptp.hAPP @t2494 @t315)) % 6.43/6.69 (define @t2615 () (@list @t272 @t2566)) % 6.43/6.69 (define @t2616 () (tptp.hAPP @t2510 @t61)) % 6.43/6.69 (define @t2617 () (tptp.hAPP @t2510 @t1165)) % 6.43/6.69 (define @t2618 () (tptp.hAPP @t2617 @t1153)) % 6.43/6.69 (define @t2619 () (@list @t1153 @t1152 @t1165)) % 6.43/6.69 (define @t2620 () (@list @t692 @t61)) % 6.43/6.69 (define @t2621 () (tptp.hAPP @t1726 @t2520)) % 6.43/6.69 (define @t2622 () (tptp.hAPP @t1725 @t2520)) % 6.43/6.69 (define @t2623 () (tptp.hAPP @t2622 @t255)) % 6.43/6.69 (define @t2624 () (tptp.hAPP @t2433 @t1625)) % 6.43/6.69 (define @t2625 () (tptp.hAPP @t158 @t2520)) % 6.43/6.69 (define @t2626 () (tptp.class_Power_Opower @t8)) % 6.43/6.69 (define @t2627 () (tptp.hBOOL (tptp.hAPP @t2244 @t255))) % 6.43/6.69 (define @t2628 () (tptp.hAPP @t2433 @t2105)) % 6.43/6.69 (define @t2629 () (and @t2626 @t1830)) % 6.43/6.69 (define @t2630 () (tptp.hAPP @t2519 @t1716)) % 6.43/6.69 (define @t2631 () (@list @t38 @t1153 @t255 @t8)) % 6.43/6.69 (define @t2632 () (tptp.hAPP @t2517 @t1716)) % 6.43/6.69 (define @t2633 () (tptp.hAPP @t2628 @t1153)) % 6.43/6.69 (define @t2634 () (tptp.hBOOL (tptp.hAPP @t1307 @t2534))) % 6.43/6.69 (define @t2635 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t61) @t64))) % 6.43/6.69 (define @t2636 () (tptp.hAPP @t2433 @t1853)) % 6.43/6.69 (define @t2637 () (tptp.hAPP @t2433 @t1316)) % 6.43/6.69 (define @t2638 () (tptp.hAPP @t2637 @t1153)) % 6.43/6.69 (define @t2639 () (tptp.hBOOL (tptp.hAPP @t644 @t1625))) % 6.43/6.69 (define @t2640 () (tptp.hBOOL (tptp.hAPP @t136 @t2450))) % 6.43/6.69 (define @t2641 () (tptp.hAPP @t2425 @t64)) % 6.43/6.69 (define @t2642 () (tptp.hAPP @t2425 @t61)) % 6.43/6.69 (define @t2643 () (tptp.hAPP @t1184 @t64)) % 6.43/6.69 (define @t2644 () (tptp.hAPP @t864 @t61)) % 6.43/6.69 (define @t2645 () (tptp.hAPP @t2644 @t64)) % 6.43/6.69 (define @t2646 () (tptp.hAPP @t2429 @t2242)) % 6.43/6.69 (define @t2647 () (tptp.hAPP @t2466 @t255)) % 6.43/6.69 (define @t2648 () (tptp.hAPP @t2647 @t2440)) % 6.43/6.69 (define @t2649 () (= @t255 (tptp.hAPP (tptp.hAPP @t2454 @t2242) @t2648))) % 6.43/6.69 (define @t2650 () (tptp.hBOOL (tptp.hAPP @t2486 @t255))) % 6.43/6.69 (define @t2651 () (@list @t2440 @t2242 @t255)) % 6.43/6.69 (define @t2652 () (tptp.hAPP @t2448 @t2440)) % 6.43/6.69 (define @t2653 () (tptp.hBOOL (tptp.hAPP @t2452 @t2242))) % 6.43/6.69 (define @t2654 () (@var "V_q_H" $$unsorted)) % 6.43/6.69 (define @t2655 () (tptp.hAPP @t2448 @t2654)) % 6.43/6.69 (define @t2656 () (tptp.hBOOL (tptp.hAPP @t2655 @t2440))) % 6.43/6.69 (define @t2657 () (@var "V_b_H" $$unsorted)) % 6.43/6.69 (define @t2658 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2657) @t38))) % 6.43/6.69 (define @t2659 () (tptp.hBOOL (tptp.hAPP @t2486 @t2657))) % 6.43/6.69 (define @t2660 () (@var "V_r_H" $$unsorted)) % 6.43/6.69 (define @t2661 () (tptp.hBOOL (tptp.hAPP @t2452 @t2660))) % 6.43/6.69 (define @t2662 () (tptp.hBOOL (tptp.hAPP @t2646 @t38))) % 6.43/6.69 (define @t2663 () (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP (tptp.hAPP @t2466 @t2657) @t2654)) @t2660)) % 6.43/6.69 (define @t2664 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2663) @t2450))) % 6.43/6.69 (define @t2665 () (tptp.hAPP @t2466 @t38)) % 6.43/6.69 (define @t2666 () (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2665 @t2440)) @t2242)) % 6.43/6.69 (define @t2667 () (= @t2666 @t2663)) % 6.43/6.69 (define @t2668 () (@list @t2660 @t2654 @t2657 @t2242 @t2440 @t38)) % 6.43/6.69 (define @t2669 () (tptp.hBOOL (tptp.hAPP @t2652 @t2654))) % 6.43/6.69 (define @t2670 () (tptp.hAPP @t2429 @t38)) % 6.43/6.69 (define @t2671 () (tptp.hBOOL (tptp.hAPP @t2670 @t2242))) % 6.43/6.69 (define @t2672 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2242) @t2450))) % 6.43/6.69 (define @t2673 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2665 @t2654)) @t2660)) @t2666))) % 6.43/6.69 (define @t2674 () (@list @t2242 @t2440 @t2660 @t2654 @t38)) % 6.43/6.69 (define @t2675 () (tptp.hAPP @t2429 @t2660)) % 6.43/6.69 (define @t2676 () (tptp.hBOOL (tptp.hAPP @t2675 @t2657))) % 6.43/6.69 (define @t2677 () (tptp.hBOOL (tptp.hAPP @t2452 @t2663))) % 6.43/6.69 (define @t2678 () (@list @t2660 @t2654 @t2657)) % 6.43/6.69 (define @t2679 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2425)) % 6.43/6.69 (define @t2680 () (tptp.c_COMBB tptp.tc_HOL_Obool @t525 tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2681 () (tptp.hAPP @t2680 tptp.c_fconj)) % 6.43/6.69 (define @t2682 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t2683 () (tptp.hAPP @t2682 (tptp.hAPP @t2681 @t2452))) % 6.43/6.69 (define @t2684 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2685 () (tptp.hAPP @t2684 (tptp.hAPP @t2683 @t136))) % 6.43/6.69 (define @t2686 () (@list @t136)) % 6.43/6.69 (define @t2687 () (tptp.hAPP @t2425 @t132)) % 6.43/6.69 (define @t2688 () (@list @t1153 @t132)) % 6.43/6.69 (define @t2689 () (tptp.hAPP @t2464 @t1153)) % 6.43/6.69 (define @t2690 () (tptp.hBOOL (tptp.hAPP @t2452 @t132))) % 6.43/6.69 (define @t2691 () (tptp.c_COMBC @t8 @t8 @t8)) % 6.43/6.69 (define @t2692 () (@var "V_inc_2" $$unsorted)) % 6.43/6.69 (define @t2693 () (tptp.hAPP @t2679 @t77)) % 6.43/6.69 (define @t2694 () (tptp.hAPP @t2679 @t51)) % 6.43/6.69 (define @t2695 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t2696 () (tptp.c_Orderings_Oord__class_Oless @t2695)) % 6.43/6.69 (define @t2697 () (tptp.c_Orderings_Oord__class_Oless @t1623)) % 6.43/6.69 (define @t2698 () (@list @t77 @t51)) % 6.43/6.69 (define @t2699 () (tptp.c_Orderings_Oord__class_Oless__eq @t2695)) % 6.43/6.69 (define @t2700 () (tptp.c_Orderings_Oord__class_Oless__eq @t1623)) % 6.43/6.69 (define @t2701 () (tptp.hAPP @t2700 @t51)) % 6.43/6.69 (define @t2702 () (@list @t64 @t61)) % 6.43/6.69 (define @t2703 () (tptp.c_member tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2704 () (tptp.hAPP @t1634 @t61)) % 6.43/6.69 (define @t2705 () (@list @t51 @t61)) % 6.43/6.69 (define @t2706 () (tptp.c_Orderings_Obot__class_Obot @t2695)) % 6.43/6.69 (define @t2707 () (= @t77 @t49)) % 6.43/6.69 (define @t2708 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2709 () (tptp.hAPP @t2325 @t51)) % 6.43/6.69 (define @t2710 () (@list @t51)) % 6.43/6.69 (define @t2711 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2712 () (tptp.hAPP @t2590 @t210)) % 6.43/6.69 (define @t2713 () (tptp.hBOOL (tptp.hAPP @t2452 @t210))) % 6.43/6.69 (define @t2714 () (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t2425 @t3)))) % 6.43/6.69 (define @t2715 () (tptp.hBOOL (tptp.hAPP @t2452 @t3))) % 6.43/6.69 (define @t2716 () (tptp.hAPP @t2425 @t272)) % 6.43/6.69 (define @t2717 () (tptp.hAPP (tptp.hAPP @t2466 @t132) @t210)) % 6.43/6.69 (define @t2718 () (tptp.hAPP @t2425 @t210)) % 6.43/6.69 (define @t2719 () (tptp.hAPP (tptp.hAPP @t1721 @t132) @t210)) % 6.43/6.69 (define @t2720 () (@var "V_nat" $$unsorted)) % 6.43/6.69 (define @t2721 () (tptp.hAPP tptp.c_Nat_OSuc @t2720)) % 6.43/6.69 (define @t2722 () (@list @t2720)) % 6.43/6.69 (define @t2723 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t2724 () (tptp.hAPP @t2 @t1034)) % 6.43/6.69 (define @t2725 () (tptp.tc_List_Olist tptp.tc_Code__Evaluation_Oterm)) % 6.43/6.69 (define @t2726 () (tptp.hAPP (tptp.hAPP @t2454 @t1034) @t2453)) % 6.43/6.69 (define @t2727 () (tptp.tc_Option_Ooption @t2725)) % 6.43/6.69 (define @t2728 () (tptp.c_Smallcheck_Osmall_H @t2 @t116 @t1034)) % 6.43/6.69 (define @t2729 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t116) @t1034))) % 6.43/6.69 (define @t2730 () (not @t2729)) % 6.43/6.69 (define @t2731 () (tptp.c_Option_Ooption_ONone @t2725)) % 6.43/6.69 (define @t2732 () (and (=> @t2729 (= @t2728 @t2731)) (=> @t2730 (= @t2728 (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t2727 @t2725 (tptp.c_Smallcheck_Osmall_H @t2 @t116 @t2726) (tptp.c_Option_Ooption_OSome @t2725)) @t2724))))) % 6.43/6.69 (define @t2733 () (@var "V_K_2" $$unsorted)) % 6.43/6.69 (define @t2734 () (@var "B_i" $$unsorted)) % 6.43/6.69 (define @t2735 () (tptp.hAPP @t2 @t2734)) % 6.43/6.69 (define @t2736 () (tptp.hAPP @t154 @t2734)) % 6.43/6.69 (define @t2737 () (@list @t2734)) % 6.43/6.69 (define @t2738 () (@var "V_one_2" $$unsorted)) % 6.43/6.69 (define @t2739 () (@var "V_times_2" $$unsorted)) % 6.43/6.69 (define @t2740 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t8 @t2738 @t2739) @t13)) % 6.43/6.69 (define @t2741 () (tptp.c_Nat__Transfer_Otsub @t132 @t210)) % 6.43/6.69 (define @t2742 () (tptp.hAPP @t2448 @t210)) % 6.43/6.69 (define @t2743 () (tptp.hBOOL (tptp.hAPP @t2742 @t132))) % 6.43/6.69 (define @t2744 () (tptp.hAPP @t2494 @t132)) % 6.43/6.69 (define @t2745 () (tptp.hAPP @t2744 @t210)) % 6.43/6.69 (define @t2746 () (=> @t2743 (= @t2741 @t2745))) % 6.43/6.69 (define @t2747 () (@list @t132 @t210)) % 6.43/6.69 (define @t2748 () (tptp.c_Nat_Osize__class_Osize @t687)) % 6.43/6.69 (define @t2749 () (tptp.hAPP @t2361 @t864)) % 6.43/6.69 (define @t2750 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t2749 @t18)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t61) @t64))) % 6.43/6.69 (define @t2751 () (tptp.hAPP @t2395 @t2388)) % 6.43/6.69 (define @t2752 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t18) @t64))) % 6.43/6.69 (define @t2753 () (tptp.hAPP @t2463 @t1161)) % 6.43/6.69 (define @t2754 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2755 () (@list @t1161 @t1152)) % 6.43/6.69 (define @t2756 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1653)) % 6.43/6.69 (define @t2757 () (tptp.hAPP @t2756 @t1137)) % 6.43/6.69 (define @t2758 () (@list @t1137 @t1653)) % 6.43/6.69 (define @t2759 () (@list @t38)) % 6.43/6.69 (define @t2760 () (tptp.hAPP @t2427 @t255)) % 6.43/6.69 (define @t2761 () (tptp.hAPP @t2754 @t2760)) % 6.43/6.69 (define @t2762 () (tptp.hAPP @t2761 @t38)) % 6.43/6.69 (define @t2763 () (tptp.hAPP @t2427 @t38)) % 6.43/6.69 (define @t2764 () (tptp.hAPP @t2754 @t255)) % 6.43/6.69 (define @t2765 () (tptp.hAPP @t2764 @t2763)) % 6.43/6.69 (define @t2766 () (@list @t38 @t255)) % 6.43/6.69 (define @t2767 () (tptp.hAPP @t2764 @t38)) % 6.43/6.69 (define @t2768 () (tptp.c_Divides_Odiv__class_Odiv @t8)) % 6.43/6.69 (define @t2769 () (tptp.hAPP @t2768 @t255)) % 6.43/6.69 (define @t2770 () (tptp.class_Divides_Osemiring__div @t8)) % 6.43/6.69 (define @t2771 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t18) @t116)) % 6.43/6.69 (define @t2772 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t13) @t109)) % 6.43/6.69 (define @t2773 () (= @t2772 @t2771)) % 6.43/6.69 (define @t2774 () (tptp.hAPP @t2754 @t132)) % 6.43/6.69 (define @t2775 () (tptp.hAPP @t2774 @t210)) % 6.43/6.69 (define @t2776 () (tptp.hBOOL (tptp.hAPP @t2486 @t38))) % 6.43/6.69 (define @t2777 () (tptp.hAPP @t2429 @t255)) % 6.43/6.69 (define @t2778 () (tptp.hBOOL (tptp.hAPP @t2777 @t2450))) % 6.43/6.69 (define @t2779 () (tptp.hAPP @t2754 @t13)) % 6.43/6.69 (define @t2780 () (tptp.hAPP @t2779 @t109)) % 6.43/6.69 (define @t2781 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2780) @t2450))) % 6.43/6.69 (define @t2782 () (tptp.hAPP @t2429 @t109)) % 6.43/6.69 (define @t2783 () (tptp.hBOOL (tptp.hAPP @t2782 @t2450))) % 6.43/6.69 (define @t2784 () (@list @t13 @t109)) % 6.43/6.69 (define @t2785 () (tptp.hAPP @t2429 @t13)) % 6.43/6.69 (define @t2786 () (tptp.hAPP @t2486 @t109)) % 6.43/6.69 (define @t2787 () (tptp.hBOOL @t2786)) % 6.43/6.69 (define @t2788 () (tptp.hAPP @t1000 @t1190)) % 6.43/6.69 (define @t2789 () (tptp.hAPP @t2788 @t690)) % 6.43/6.69 (define @t2790 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1034)) % 6.43/6.69 (define @t2791 () (tptp.hAPP @t2790 @t1190)) % 6.43/6.69 (define @t2792 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1623)) % 6.43/6.69 (define @t2793 () (= @t255 @t2450)) % 6.43/6.69 (define @t2794 () (not @t2793)) % 6.43/6.69 (define @t2795 () (@list @t255)) % 6.43/6.69 (define @t2796 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t337)) % 6.43/6.69 (define @t2797 () (@list @t337)) % 6.43/6.69 (define @t2798 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2094)) % 6.43/6.69 (define @t2799 () (tptp.hAPP @t2798 @t692)) % 6.43/6.69 (define @t2800 () (tptp.hAPP @t2769 @t38)) % 6.43/6.69 (define @t2801 () (tptp.hAPP (tptp.hAPP @t2768 @t2197) @t2196)) % 6.43/6.69 (define @t2802 () (= @t254 @t2105)) % 6.43/6.69 (define @t2803 () (not @t2802)) % 6.43/6.69 (define @t2804 () (=> @t2803 (= @t2801 @t2800))) % 6.43/6.69 (define @t2805 () (tptp.hAPP @t864 @t1137)) % 6.43/6.69 (define @t2806 () (tptp.hAPP @t2805 @t1653)) % 6.43/6.69 (define @t2807 () (tptp.hAPP tptp.c_Nat_OSuc @t1190)) % 6.43/6.69 (define @t2808 () (@list @t1190 @t1034)) % 6.43/6.69 (define @t2809 () (= @t2772 @t56)) % 6.43/6.69 (define @t2810 () (not @t673)) % 6.43/6.69 (define @t2811 () (tptp.hBOOL (tptp.hAPP @t1323 @t116))) % 6.43/6.69 (define @t2812 () (tptp.hBOOL (tptp.hAPP @t595 @t13))) % 6.43/6.69 (define @t2813 () (and @t2812 @t2811)) % 6.43/6.69 (define @t2814 () (tptp.hAPP @t2796 @t692)) % 6.43/6.69 (define @t2815 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Nat_Onat) @t2)) % 6.43/6.69 (define @t2816 () (tptp.hAPP @t2398 (tptp.hAPP @t2815 tptp.c_Nat_OSuc))) % 6.43/6.69 (define @t2817 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1778)) % 6.43/6.69 (define @t2818 () (@list @t692 @t337 @t2 @t8)) % 6.43/6.69 (define @t2819 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t1653)) % 6.43/6.69 (define @t2820 () (tptp.hAPP @t2819 @t1137)) % 6.43/6.69 (define @t2821 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t337) @t1137)) % 6.43/6.69 (define @t2822 () (tptp.hAPP @t2819 @t337)) % 6.43/6.69 (define @t2823 () (tptp.hAPP @t193 @t2822)) % 6.43/6.69 (define @t2824 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t337) @t1137))) % 6.43/6.69 (define @t2825 () (tptp.hAPP @t158 @t1653)) % 6.43/6.69 (define @t2826 () (tptp.hBOOL (tptp.hAPP @t2825 @t337))) % 6.43/6.69 (define @t2827 () (@list @t1137 @t337 @t1653 @t8)) % 6.43/6.69 (define @t2828 () (tptp.hAPP @t2361 @t1000)) % 6.43/6.69 (define @t2829 () (tptp.hAPP @t2828 @t690)) % 6.43/6.69 (define @t2830 () (tptp.hAPP @t2398 (tptp.hAPP @t2815 @t2829))) % 6.43/6.69 (define @t2831 () (@list @t692 @t690 @t337 @t2 @t8)) % 6.43/6.69 (define @t2832 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t1034)) % 6.43/6.69 (define @t2833 () (tptp.hAPP @t158 @t1034)) % 6.43/6.69 (define @t2834 () (tptp.hAPP @t729 @t2822)) % 6.43/6.69 (define @t2835 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2829)) % 6.43/6.69 (define @t2836 () (@list @t1190 @t1034 @t690)) % 6.43/6.69 (define @t2837 () (tptp.hAPP (tptp.hAPP @t2754 @t981) @t38)) % 6.43/6.69 (define @t2838 () (tptp.hBOOL (tptp.hAPP @t2670 @t2450))) % 6.43/6.69 (define @t2839 () (tptp.hAPP @t2448 @t255)) % 6.43/6.69 (define @t2840 () (tptp.hBOOL (tptp.hAPP @t2839 @t981))) % 6.43/6.69 (define @t2841 () (@list @t38 @t981 @t255)) % 6.43/6.69 (define @t2842 () (tptp.hAPP @t2448 @t2767)) % 6.43/6.69 (define @t2843 () (= @t2767 @t2450)) % 6.43/6.69 (define @t2844 () (tptp.hBOOL (tptp.hAPP @t2670 @t255))) % 6.43/6.69 (define @t2845 () (tptp.hBOOL (tptp.hAPP @t2839 @t2450))) % 6.43/6.69 (define @t2846 () (tptp.hAPP @t2764 @t2657)) % 6.43/6.69 (define @t2847 () (@list @t38 @t2657 @t255)) % 6.43/6.69 (define @t2848 () (tptp.hBOOL (tptp.hAPP @t2842 @t2450))) % 6.43/6.69 (define @t2849 () (tptp.hBOOL (tptp.hAPP @t2452 @t2780))) % 6.43/6.69 (define @t2850 () (tptp.hBOOL (tptp.hAPP @t2777 @t38))) % 6.43/6.69 (define @t2851 () (tptp.hBOOL (tptp.hAPP @t2452 @t255))) % 6.43/6.69 (define @t2852 () (tptp.hAPP @t2448 @t109)) % 6.43/6.69 (define @t2853 () (tptp.hBOOL (tptp.hAPP @t2452 @t13))) % 6.43/6.69 (define @t2854 () (@list @t109 @t13)) % 6.43/6.69 (define @t2855 () (tptp.hAPP @t2448 @t690)) % 6.43/6.69 (define @t2856 () (tptp.hAPP (tptp.hAPP @t2754 @t1034) @t690)) % 6.43/6.69 (define @t2857 () (tptp.hBOOL (tptp.hAPP @t2486 @t690))) % 6.43/6.69 (define @t2858 () (tptp.hAPP @t2448 @t1034)) % 6.43/6.69 (define @t2859 () (tptp.hBOOL (tptp.hAPP @t2858 @t2450))) % 6.43/6.69 (define @t2860 () (tptp.hAPP @t2429 @t1034)) % 6.43/6.69 (define @t2861 () (= @t690 @t2450)) % 6.43/6.69 (define @t2862 () (tptp.hAPP @t2429 @t2453)) % 6.43/6.69 (define @t2863 () (tptp.hAPP @t2665 @t254)) % 6.43/6.69 (define @t2864 () (tptp.hBOOL (tptp.hAPP @t2486 @t254))) % 6.43/6.69 (define @t2865 () (@list @t38 @t255 @t254)) % 6.43/6.69 (define @t2866 () (@var "V_p_2" $$unsorted)) % 6.43/6.69 (define @t2867 () (tptp.hAPP @t2399 (tptp.hAPP @t2796 @t2866))) % 6.43/6.69 (define @t2868 () (tptp.hAPP @t2399 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t692) @t2866))) % 6.43/6.69 (define @t2869 () (tptp.hAPP @t2399 @t2814)) % 6.43/6.69 (define @t2870 () (tptp.hAPP @t928 @t2869)) % 6.43/6.69 (define @t2871 () (tptp.hBOOL (tptp.hAPP @t1803 @t2866))) % 6.43/6.69 (define @t2872 () (@list @t2 @t2866 @t692 @t337 @t8)) % 6.43/6.69 (define @t2873 () (tptp.hAPP @t948 @t2800)) % 6.43/6.69 (define @t2874 () (tptp.hAPP @t931 @t1733)) % 6.43/6.69 (define @t2875 () (tptp.hAPP @t931 @t2196)) % 6.43/6.69 (define @t2876 () (tptp.hAPP (tptp.hAPP @t928 @t2800) @t1625)) % 6.43/6.69 (define @t2877 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t55)) % 6.43/6.69 (define @t2878 () (tptp.hAPP @t2877 @t1624)) % 6.43/6.69 (define @t2879 () (tptp.hAPP @t2878 @t51)) % 6.43/6.69 (define @t2880 () (tptp.tc_fun tptp.tc_Nat_Onat @t55)) % 6.43/6.69 (define @t2881 () (tptp.hAPP @t1926 @t109)) % 6.43/6.69 (define @t2882 () (tptp.hAPP @t2881 @t116)) % 6.43/6.69 (define @t2883 () (tptp.hAPP @t2004 @t18)) % 6.43/6.69 (define @t2884 () (tptp.hAPP @t2385 @t1137)) % 6.43/6.69 (define @t2885 () (tptp.hAPP @t2385 @t1653)) % 6.43/6.69 (define @t2886 () (tptp.hAPP @t193 @t2885)) % 6.43/6.69 (define @t2887 () (tptp.hBOOL (tptp.hAPP @t2825 @t1137))) % 6.43/6.69 (define @t2888 () (@list @t1137 @t1653 @t8)) % 6.43/6.69 (define @t2889 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t690) (tptp.hAPP @t1222 @t2709))) % 6.43/6.69 (define @t2890 () (tptp.hAPP @t729 @t2885)) % 6.43/6.69 (define @t2891 () (tptp.hAPP @t2 @t2094)) % 6.43/6.69 (define @t2892 () (tptp.hAPP @t2 @t337)) % 6.43/6.69 (define @t2893 () (tptp.hAPP @t928 @t2892)) % 6.43/6.69 (define @t2894 () (@list @t2 @t692 @t337 @t8)) % 6.43/6.69 (define @t2895 () (tptp.hAPP @t2796 @t1780)) % 6.43/6.69 (define @t2896 () (tptp.hAPP @t2399 @t2895)) % 6.43/6.69 (define @t2897 () (@list @t2 @t337 @t692 @t8)) % 6.43/6.69 (define @t2898 () (@var "V_b_1" $$unsorted)) % 6.43/6.69 (define @t2899 () (@var "V_a_1" $$unsorted)) % 6.43/6.69 (define @t2900 () (not (= @t2898 @t2450))) % 6.43/6.69 (define @t2901 () (@var "V_r_1" $$unsorted)) % 6.43/6.69 (define @t2902 () (tptp.hAPP @t2429 @t2898)) % 6.43/6.69 (define @t2903 () (tptp.hBOOL (tptp.hAPP @t2486 @t2898))) % 6.43/6.69 (define @t2904 () (not @t2903)) % 6.43/6.69 (define @t2905 () (tptp.hAPP @t2466 @t2898)) % 6.43/6.69 (define @t2906 () (tptp.hAPP @t136 @t2734)) % 6.43/6.69 (define @t2907 () (tptp.hBOOL @t2906)) % 6.43/6.69 (define @t2908 () (tptp.hAPP @t2466 @t690)) % 6.43/6.69 (define @t2909 () (= @t692 (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2908 @t2734)) @t2248))) % 6.43/6.69 (define @t2910 () (and (tptp.hBOOL (tptp.hAPP @t2559 @t2248)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2248) @t2450)) @t2909)) % 6.43/6.69 (define @t2911 () (tptp.hAPP @t2559 @t2450)) % 6.43/6.69 (define @t2912 () (tptp.hBOOL @t2911)) % 6.43/6.69 (define @t2913 () (and (tptp.hBOOL (tptp.hAPP @t2452 @t2248)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2248) @t690)) @t2909)) % 6.43/6.69 (define @t2914 () (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t2754 @t692) @t690))) % 6.43/6.69 (define @t2915 () (@list @t690 @t692 @t136)) % 6.43/6.69 (define @t2916 () (tptp.hBOOL (tptp.hAPP @t1635 @t2799))) % 6.43/6.69 (define @t2917 () (tptp.hBOOL (tptp.hAPP @t136 @t1633))) % 6.43/6.69 (define @t2918 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1633) @t692))) % 6.43/6.69 (define @t2919 () (@list @t136 @t692)) % 6.43/6.69 (define @t2920 () (tptp.hAPP @t2427 @t1238)) % 6.43/6.69 (define @t2921 () (tptp.hAPP @t2754 @t1161)) % 6.43/6.69 (define @t2922 () (tptp.c_SMT_Oz3div @t1161 @t1238)) % 6.43/6.69 (define @t2923 () (tptp.hBOOL (tptp.hAPP @t2452 @t1238))) % 6.43/6.69 (define @t2924 () (not @t2923)) % 6.43/6.69 (define @t2925 () (tptp.hAPP @t2921 @t1238)) % 6.43/6.69 (define @t2926 () (@list @t1161 @t1238)) % 6.43/6.69 (define @t2927 () (tptp.hAPP @t2878 @t77)) % 6.43/6.69 (define @t2928 () (tptp.hAPP @t169 @t2879)) % 6.43/6.69 (define @t2929 () (tptp.hAPP (tptp.hAPP @t2877 (tptp.hAPP @t2798 (tptp.hAPP (tptp.hAPP @t1000 @t1714) @t690))) @t77)) % 6.43/6.69 (define @t2930 () (tptp.hAPP (tptp.hAPP @t2877 (tptp.hAPP @t2798 @t1714)) @t51)) % 6.43/6.69 (define @t2931 () (tptp.hAPP @t169 @t2930)) % 6.43/6.69 (define @t2932 () (@list @t77 @t690 @t51 @t8)) % 6.43/6.69 (define @t2933 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1653)) % 6.43/6.69 (define @t2934 () (tptp.hAPP @t2933 @t1137)) % 6.43/6.69 (define @t2935 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t2936 () (tptp.hAPP @t2935 @t1153)) % 6.43/6.69 (define @t2937 () (tptp.hAPP @t2935 @t1152)) % 6.43/6.69 (define @t2938 () (tptp.hAPP @t2937 @t1153)) % 6.43/6.69 (define @t2939 () (tptp.hAPP @t2935 @t255)) % 6.43/6.69 (define @t2940 () (tptp.hAPP @t2939 @t38)) % 6.43/6.69 (define @t2941 () (tptp.hAPP @t1721 @t38)) % 6.43/6.69 (define @t2942 () (tptp.hAPP @t2941 @t254)) % 6.43/6.69 (define @t2943 () (=> @t1201 (= @t2938 @t2094))) % 6.43/6.69 (define @t2944 () (tptp.hAPP (tptp.hAPP @t2935 @t1813) @t1812)) % 6.43/6.69 (define @t2945 () (= @t2944 @t2938)) % 6.43/6.69 (define @t2946 () (= @t1161 @t2094)) % 6.43/6.69 (define @t2947 () (tptp.hAPP @t2425 @t38)) % 6.43/6.69 (define @t2948 () (tptp.hAPP @t2425 @t255)) % 6.43/6.69 (define @t2949 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t2450)) % 6.43/6.69 (define @t2950 () (tptp.hAPP @t2949 @t1137)) % 6.43/6.69 (define @t2951 () (tptp.hAPP @t2935 @t1161)) % 6.43/6.69 (define @t2952 () (tptp.hAPP @t1199 @t1615)) % 6.43/6.69 (define @t2953 () (tptp.hBOOL (tptp.hAPP @t2952 @t1153))) % 6.43/6.69 (define @t2954 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2935 @t1171) @t1153))) % 6.43/6.69 (define @t2955 () (= @t2938 @t2954)) % 6.43/6.69 (define @t2956 () (=> @t1273 @t2955)) % 6.43/6.69 (define @t2957 () (= @t692 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t1914 @t2734)) @t2248))) % 6.43/6.69 (define @t2958 () (tptp.hBOOL (tptp.hAPP @t2249 @t690))) % 6.43/6.69 (define @t2959 () (@list @t2734 @t2248)) % 6.43/6.69 (define @t2960 () (not @t2154)) % 6.43/6.69 (define @t2961 () (tptp.hAPP @t2494 @t1137)) % 6.43/6.69 (define @t2962 () (tptp.hAPP @t2961 @t1653)) % 6.43/6.69 (define @t2963 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.43/6.69 (define @t2964 () (@var "B_q" $$unsorted)) % 6.43/6.69 (define @t2965 () (@list @t2964)) % 6.43/6.69 (define @t2966 () (tptp.hAPP (tptp.hAPP @t2935 @t337) @t692)) % 6.43/6.69 (define @t2967 () (@var "V_q_2" $$unsorted)) % 6.43/6.69 (define @t2968 () (@list @t225 @t51 @t8)) % 6.43/6.69 (define @t2969 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t1653 @t1137)) % 6.43/6.69 (define @t2970 () (tptp.hAPP @t193 (tptp.hAPP (tptp.hAPP @t81 @t1653) @t56))) % 6.43/6.69 (define @t2971 () (tptp.hAPP @t627 @t1653)) % 6.43/6.69 (define @t2972 () (tptp.hBOOL (tptp.hAPP @t2971 @t1137))) % 6.43/6.69 (define @t2973 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Com_Ocom)) % 6.43/6.69 (define @t2974 () (tptp.hAPP @t2108 @t584)) % 6.43/6.69 (define @t2975 () (tptp.c_Rings_Oinverse__class_Odivide @t47)) % 6.43/6.69 (define @t2976 () (tptp.hAPP @t2975 @t2109)) % 6.43/6.69 (define @t2977 () (tptp.class_Fields_Ofield @t47)) % 6.43/6.69 (define @t2978 () (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t2973 @t290)) @t2095)) % 6.43/6.69 (define @t2979 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t1653 @t1137)) % 6.43/6.69 (define @t2980 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1653 @t1137)) % 6.43/6.69 (define @t2981 () (tptp.c_Rings_Oinverse__class_Odivide @t8)) % 6.43/6.69 (define @t2982 () (tptp.hAPP @t2981 @t255)) % 6.43/6.69 (define @t2983 () (tptp.hAPP @t2982 @t38)) % 6.43/6.69 (define @t2984 () (= (tptp.hAPP (tptp.hAPP @t2433 @t2983) @t1153) (tptp.hAPP (tptp.hAPP @t2981 @t2520) @t2518))) % 6.43/6.69 (define @t2985 () (tptp.class_Fields_Ofield__inverse__zero @t8)) % 6.43/6.69 (define @t2986 () (tptp.hAPP @t2981 @t1316)) % 6.43/6.69 (define @t2987 () (tptp.hAPP @t1312 @t2983)) % 6.43/6.69 (define @t2988 () (tptp.class_Rings_Odivision__ring @t8)) % 6.43/6.69 (define @t2989 () (tptp.hAPP (tptp.hAPP @t2981 @t38) @t254)) % 6.43/6.69 (define @t2990 () (tptp.hAPP @t2982 @t254)) % 6.43/6.69 (define @t2991 () (tptp.hAPP @t2981 @t932)) % 6.43/6.69 (define @t2992 () (tptp.class_Rings_Odivision__ring__inverse__zero @t8)) % 6.43/6.69 (define @t2993 () (tptp.class_Fields_Ofield @t8)) % 6.43/6.69 (define @t2994 () (= @t109 @t1768)) % 6.43/6.69 (define @t2995 () (tptp.hAPP @t2981 @t109)) % 6.43/6.69 (define @t2996 () (tptp.hAPP @t2995 @t18)) % 6.43/6.69 (define @t2997 () (= @t2996 @t13)) % 6.43/6.69 (define @t2998 () (= @t18 @t2105)) % 6.43/6.69 (define @t2999 () (not @t2998)) % 6.43/6.69 (define @t3000 () (@list @t13 @t109 @t18 @t8)) % 6.43/6.69 (define @t3001 () (= @t1768 @t109)) % 6.43/6.69 (define @t3002 () (= @t13 @t2996)) % 6.43/6.69 (define @t3003 () (tptp.hAPP @t2982 @t255)) % 6.43/6.69 (define @t3004 () (=> @t2131 (= @t3003 @t1625))) % 6.43/6.69 (define @t3005 () (tptp.hAPP (tptp.hAPP @t2981 @t13) @t109)) % 6.43/6.69 (define @t3006 () (= (tptp.hAPP @t2986 @t1327) @t2983)) % 6.43/6.69 (define @t3007 () (= @t2987 (tptp.hAPP @t2982 @t1327))) % 6.43/6.69 (define @t3008 () (tptp.hAPP @t2981 @t1625)) % 6.43/6.69 (define @t3009 () (tptp.hBOOL (tptp.hAPP @t2825 @t690))) % 6.43/6.69 (define @t3010 () (@list @t690 @t1653 @t8)) % 6.43/6.69 (define @t3011 () (tptp.hAPP (tptp.hAPP @t2454 @t1653) @t2453)) % 6.43/6.69 (define @t3012 () (tptp.hAPP tptp.c_Nat_OSuc @t1653)) % 6.43/6.69 (define @t3013 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t1653 @t337)) % 6.43/6.69 (define @t3014 () (tptp.hAPP @t729 @t3013)) % 6.43/6.69 (define @t3015 () (tptp.hAPP @t193 @t3013)) % 6.43/6.69 (define @t3016 () (tptp.hBOOL (tptp.hAPP @t2971 @t337))) % 6.43/6.69 (define @t3017 () (tptp.hAPP @t2433 @t61)) % 6.43/6.69 (define @t3018 () (tptp.hAPP @t2981 @t254)) % 6.43/6.69 (define @t3019 () (tptp.hAPP @t3018 @t38)) % 6.43/6.69 (define @t3020 () (tptp.hAPP @t3018 @t255)) % 6.43/6.69 (define @t3021 () (=> @t2231 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3020) @t3019)))) % 6.43/6.69 (define @t3022 () (tptp.class_Fields_Olinordered__field__inverse__zero @t8)) % 6.43/6.69 (define @t3023 () (tptp.class_Fields_Olinordered__field @t8)) % 6.43/6.69 (define @t3024 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1768) @t109))) % 6.43/6.69 (define @t3025 () (tptp.hAPP @t158 @t2996)) % 6.43/6.69 (define @t3026 () (tptp.hBOOL (tptp.hAPP @t3025 @t13))) % 6.43/6.69 (define @t3027 () (tptp.hBOOL (tptp.hAPP @t1323 @t1768))) % 6.43/6.69 (define @t3028 () (tptp.hBOOL (tptp.hAPP @t597 @t2996))) % 6.43/6.69 (define @t3029 () (tptp.hAPP @t2981 @t132)) % 6.43/6.69 (define @t3030 () (tptp.hAPP @t3029 @t210)) % 6.43/6.69 (define @t3031 () (tptp.hAPP @t1725 @t272)) % 6.43/6.69 (define @t3032 () (tptp.hAPP @t3031 @t210)) % 6.43/6.69 (define @t3033 () (tptp.hBOOL (tptp.hAPP @t2212 @t210))) % 6.43/6.69 (define @t3034 () (tptp.hBOOL (tptp.hAPP @t1328 @t2105))) % 6.43/6.69 (define @t3035 () (tptp.hBOOL (tptp.hAPP @t2212 @t109))) % 6.43/6.69 (define @t3036 () (tptp.hBOOL (tptp.hAPP @t2212 @t3030))) % 6.43/6.69 (define @t3037 () (tptp.hBOOL (tptp.hAPP @t2212 @t132))) % 6.43/6.69 (define @t3038 () (tptp.hAPP @t627 @t3030)) % 6.43/6.69 (define @t3039 () (tptp.hBOOL (tptp.hAPP @t3038 @t2105))) % 6.43/6.69 (define @t3040 () (tptp.hBOOL (tptp.hAPP @t635 @t2105))) % 6.43/6.69 (define @t3041 () (tptp.hBOOL (tptp.hAPP @t628 @t2105))) % 6.43/6.69 (define @t3042 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2990) @t2989))) % 6.43/6.69 (define @t3043 () (= @t315 @t2105)) % 6.43/6.69 (define @t3044 () (=> @t2998 @t2122)) % 6.43/6.69 (define @t3045 () (@list @t13 @t18 @t109 @t8)) % 6.43/6.69 (define @t3046 () (tptp.hBOOL (tptp.hAPP @t2177 @t3030))) % 6.43/6.69 (define @t3047 () (tptp.hAPP @t158 @t3030)) % 6.43/6.69 (define @t3048 () (tptp.hBOOL (tptp.hAPP @t3047 @t2105))) % 6.43/6.69 (define @t3049 () (tptp.hAPP @t2981 @t210)) % 6.43/6.69 (define @t3050 () (tptp.hAPP @t3049 @t2566)) % 6.43/6.69 (define @t3051 () (tptp.hAPP @t3029 @t272)) % 6.43/6.69 (define @t3052 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3051) @t3050))) % 6.43/6.69 (define @t3053 () (tptp.hBOOL (tptp.hAPP @t2212 @t2566))) % 6.43/6.69 (define @t3054 () (@list @t272 @t2566 @t210 @t132 @t8)) % 6.43/6.69 (define @t3055 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2566) @t272))) % 6.43/6.69 (define @t3056 () (tptp.hBOOL (tptp.hAPP @t159 @t2105))) % 6.43/6.69 (define @t3057 () (not @t2223)) % 6.43/6.69 (define @t3058 () (tptp.hBOOL (tptp.hAPP @t1328 @t1768))) % 6.43/6.69 (define @t3059 () (not @t2224)) % 6.43/6.69 (define @t3060 () (tptp.hBOOL (tptp.hAPP @t2226 @t109))) % 6.43/6.69 (define @t3061 () (tptp.hBOOL (tptp.hAPP @t672 @t2996))) % 6.43/6.69 (define @t3062 () (tptp.hAPP @t627 @t2996)) % 6.43/6.69 (define @t3063 () (tptp.hBOOL (tptp.hAPP @t3062 @t13))) % 6.43/6.69 (define @t3064 () (=> @t2231 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3020) @t3019)))) % 6.43/6.69 (define @t3065 () (tptp.hAPP @t2287 @t272)) % 6.43/6.69 (define @t3066 () (tptp.hAPP (tptp.hAPP @t1725 @t2566) @t210)) % 6.43/6.69 (define @t3067 () (tptp.hAPP (tptp.hAPP @t2981 @t2566) @t272)) % 6.43/6.69 (define @t3068 () (tptp.hAPP @t928 @t3030)) % 6.43/6.69 (define @t3069 () (not (= @t272 @t2105))) % 6.43/6.69 (define @t3070 () (not (= @t210 @t2105))) % 6.43/6.69 (define @t3071 () (@list @t2566 @t132 @t272 @t210 @t8)) % 6.43/6.69 (define @t3072 () (tptp.hAPP @t2981 (tptp.hAPP @t1382 @t3032))) % 6.43/6.69 (define @t3073 () (@list @t210 @t132 @t272 @t8)) % 6.43/6.69 (define @t3074 () (tptp.hAPP @t3072 @t210)) % 6.43/6.69 (define @t3075 () (tptp.hAPP @t3031 @t132)) % 6.43/6.69 (define @t3076 () (tptp.hAPP @t3049 @t272)) % 6.43/6.69 (define @t3077 () (tptp.hAPP @t928 @t272)) % 6.43/6.69 (define @t3078 () (tptp.hAPP @t2991 @t1846)) % 6.43/6.69 (define @t3079 () (tptp.hAPP @t2108 @t77)) % 6.43/6.69 (define @t3080 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t1653 @t1137)) % 6.43/6.69 (define @t3081 () (tptp.hAPP (tptp.hAPP @t81 @t1137) @t56)) % 6.43/6.69 (define @t3082 () (tptp.hAPP @t193 @t2969)) % 6.43/6.69 (define @t3083 () (tptp.hAPP tptp.c_Int_Onat @t1137)) % 6.43/6.69 (define @t3084 () (tptp.hBOOL (tptp.hAPP @t1036 @t1660))) % 6.43/6.69 (define @t3085 () (tptp.hAPP @t720 @t1660)) % 6.43/6.69 (define @t3086 () (forall @t2737 (=> (tptp.hBOOL (tptp.hAPP @t2736 @t1660)) (tptp.hBOOL (tptp.hAPP @t2357 @t2735))))) % 6.43/6.69 (define @t3087 () (tptp.class_Groups_Oordered__ab__group__add @t47)) % 6.43/6.69 (define @t3088 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t1653 @t1137)) % 6.43/6.69 (define @t3089 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1653 @t1137)) % 6.43/6.69 (define @t3090 () (tptp.hAPP tptp.c_Int_Onat @t2962)) % 6.43/6.69 (define @t3091 () (tptp.hAPP tptp.c_Int_Onat @t2450)) % 6.43/6.69 (define @t3092 () (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 6.43/6.69 (define @t3093 () (@var "B_x1" $$unsorted)) % 6.43/6.69 (define @t3094 () (tptp.hBOOL (tptp.hAPP @t136 @t3093))) % 6.43/6.69 (define @t3095 () (@list @t3093)) % 6.43/6.69 (define @t3096 () (exists @t3095 @t3094)) % 6.43/6.69 (define @t3097 () (forall @t3095 @t3094)) % 6.43/6.69 (define @t3098 () (tptp.hAPP tptp.c_Int_Onat @t64)) % 6.43/6.69 (define @t3099 () (tptp.hAPP tptp.c_Int_Onat @t61)) % 6.43/6.69 (define @t3100 () (tptp.hBOOL (tptp.hAPP @t2452 @t64))) % 6.43/6.69 (define @t3101 () (tptp.hBOOL (tptp.hAPP @t2452 @t61))) % 6.43/6.69 (define @t3102 () (@var "V_z_H_2" $$unsorted)) % 6.43/6.69 (define @t3103 () (tptp.hAPP tptp.c_Int_Onat @t3102)) % 6.43/6.69 (define @t3104 () (tptp.hAPP tptp.c_Int_Onat @t315)) % 6.43/6.69 (define @t3105 () (tptp.hBOOL (tptp.hAPP @t2452 @t315))) % 6.43/6.69 (define @t3106 () (tptp.hAPP tptp.c_Int_Onat @t2453)) % 6.43/6.69 (define @t3107 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2695)) % 6.43/6.69 (define @t3108 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 6.43/6.69 (define @t3109 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1623)) % 6.43/6.69 (define @t3110 () (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3111 () (tptp.hAPP @t3110 @t2)) % 6.43/6.69 (define @t3112 () (tptp.hAPP @t3111 tptp.c_Int_Onat)) % 6.43/6.69 (define @t3113 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t8)) % 6.43/6.69 (define @t3114 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t8)) % 6.43/6.69 (define @t3115 () (and @t784 @t1791)) % 6.43/6.69 (define @t3116 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t690 @t1653)) % 6.43/6.69 (define @t3117 () (= @t3116 @t56)) % 6.43/6.69 (define @t3118 () (tptp.hAPP @t627 @t690)) % 6.43/6.69 (define @t3119 () (not (tptp.hBOOL (tptp.hAPP @t3118 @t1653)))) % 6.43/6.69 (define @t3120 () (@list @t1653 @t690 @t8)) % 6.43/6.69 (define @t3121 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t337 @t1137)) % 6.43/6.69 (define @t3122 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t1653 @t337)) % 6.43/6.69 (define @t3123 () (tptp.hAPP @t193 @t3122)) % 6.43/6.69 (define @t3124 () (tptp.hAPP @t729 @t3122)) % 6.43/6.69 (define @t3125 () (tptp.hAPP tptp.c_Int_Onat @t272)) % 6.43/6.69 (define @t3126 () (= @t3125 @t2094)) % 6.43/6.69 (define @t3127 () (tptp.hBOOL (tptp.hAPP @t2600 @t2450))) % 6.43/6.69 (define @t3128 () (tptp.hAPP tptp.c_Int_Onat @t1034)) % 6.43/6.69 (define @t3129 () (@list @t1034)) % 6.43/6.69 (define @t3130 () (tptp.hAPP tptp.c_Int_Onat @t1773)) % 6.43/6.69 (define @t3131 () (tptp.hAPP @t1199 @t3130)) % 6.43/6.69 (define @t3132 () (tptp.hBOOL (tptp.hAPP @t3131 @t3104))) % 6.43/6.69 (define @t3133 () (= @t3132 @t2460)) % 6.43/6.69 (define @t3134 () (tptp.hAPP @t2448 @t61)) % 6.43/6.69 (define @t3135 () (tptp.hBOOL (tptp.hAPP @t3134 @t64))) % 6.43/6.69 (define @t3136 () (tptp.hAPP @t2425 @t3125)) % 6.43/6.69 (define @t3137 () (= @t3136 @t272)) % 6.43/6.69 (define @t3138 () (=> @t2548 @t3137)) % 6.43/6.69 (define @t3139 () (@list @t315 @t337)) % 6.43/6.69 (define @t3140 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t8)) % 6.43/6.69 (define @t3141 () (tptp.hAPP @t2429 @t61)) % 6.43/6.69 (define @t3142 () (tptp.hBOOL (tptp.hAPP @t3141 @t64))) % 6.43/6.69 (define @t3143 () (tptp.hBOOL (tptp.hAPP @t2452 @t1773))) % 6.43/6.69 (define @t3144 () (and (=> @t3143 (= @t1773 @t2446)) (=> (not @t3143) @t2147))) % 6.43/6.69 (define @t3145 () (@list @t337 @t1773)) % 6.43/6.69 (define @t3146 () (tptp.hAPP tptp.c_Int_Onat @t210)) % 6.43/6.69 (define @t3147 () (tptp.hAPP tptp.c_Int_Onat @t132)) % 6.43/6.69 (define @t3148 () (tptp.hAPP tptp.c_Int_Onat @t2609)) % 6.43/6.69 (define @t3149 () (tptp.hBOOL (tptp.hAPP @t2452 @t2609))) % 6.43/6.69 (define @t3150 () (@list @t2609 @t272)) % 6.43/6.69 (define @t3151 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2583 @t2609))) % 6.43/6.69 (define @t3152 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2695)) % 6.43/6.69 (define @t3153 () (tptp.hAPP tptp.c_Int_Onat @t2775)) % 6.43/6.69 (define @t3154 () (tptp.hAPP (tptp.hAPP @t2935 @t3147) @t3146)) % 6.43/6.69 (define @t3155 () (tptp.hAPP (tptp.hAPP @t2463 @t272) @t1153)) % 6.43/6.69 (define @t3156 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t337 @t1137)) % 6.43/6.69 (define @t3157 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3158 () (tptp.hBOOL (tptp.hAPP @t2403 @t1137))) % 6.43/6.69 (define @t3159 () (tptp.c_Int_Oring__1__class_Oof__int @t8)) % 6.43/6.69 (define @t3160 () (tptp.hAPP @t3159 @t1161)) % 6.43/6.69 (define @t3161 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t1161) @t2450))) % 6.43/6.69 (define @t3162 () (tptp.hAPP @t2427 @t1161)) % 6.43/6.69 (define @t3163 () (@list @t1161 @t8)) % 6.43/6.69 (define @t3164 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t3165 () (tptp.hAPP @t3108 @t77)) % 6.43/6.69 (define @t3166 () (tptp.hAPP @t3108 @t51)) % 6.43/6.69 (define @t3167 () (tptp.hAPP (tptp.hAPP @t3152 @t51) @t77)) % 6.43/6.69 (define @t3168 () (tptp.c_Nat__Transfer_Onat__set @t77)) % 6.43/6.69 (define @t3169 () (tptp.c_Nat__Transfer_Onat__set @t51)) % 6.43/6.69 (define @t3170 () (tptp.hAPP (tptp.hAPP @t3107 @t51) @t77)) % 6.43/6.69 (define @t3171 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t8)) % 6.43/6.69 (define @t3172 () (tptp.hAPP @t3171 @t64)) % 6.43/6.69 (define @t3173 () (tptp.hAPP @t3171 @t61)) % 6.43/6.69 (define @t3174 () (tptp.hAPP @t3159 @t315)) % 6.43/6.69 (define @t3175 () (tptp.hAPP @t3159 @t1773)) % 6.43/6.69 (define @t3176 () (@list @t315 @t1773 @t8)) % 6.43/6.69 (define @t3177 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3178 () (= @t315 @t2450)) % 6.43/6.69 (define @t3179 () (@list @t315 @t8)) % 6.43/6.69 (define @t3180 () (tptp.hAPP @t3159 @t272)) % 6.43/6.69 (define @t3181 () (tptp.hAPP @t3159 @t2566)) % 6.43/6.69 (define @t3182 () (@list @t272 @t2566 @t8)) % 6.43/6.69 (define @t3183 () (@list @t272 @t8)) % 6.43/6.69 (define @t3184 () (tptp.hAPP @t2703 @t3)) % 6.43/6.69 (define @t3185 () (tptp.hAPP @t3171 @t690)) % 6.43/6.69 (define @t3186 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t8 tptp.tc_Nat_Onat) @t2) @t2425)) % 6.43/6.69 (define @t3187 () (tptp.hAPP (tptp.hAPP @t3113 @t2) @t51)) % 6.43/6.69 (define @t3188 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t8 @t47) @t3159) @t2)) % 6.43/6.69 (define @t3189 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2703 @t61) @t51))) % 6.43/6.69 (define @t3190 () (@list @t61 @t51)) % 6.43/6.69 (define @t3191 () (tptp.hAPP @t3140 @t2)) % 6.43/6.69 (define @t3192 () (tptp.hAPP @t3191 @t51)) % 6.43/6.69 (define @t3193 () (tptp.hAPP @t3171 @t1653)) % 6.43/6.69 (define @t3194 () (tptp.hAPP @t3171 @t1137)) % 6.43/6.69 (define @t3195 () (tptp.hAPP @t2389 @t1720)) % 6.43/6.69 (define @t3196 () (tptp.hAPP @t3164 @t690)) % 6.43/6.69 (define @t3197 () (tptp.c_Groups_Ominus__class_Ominus @t1623)) % 6.43/6.69 (define @t3198 () (tptp.c_Nat__Transfer_Ois__nat @t61)) % 6.43/6.69 (define @t3199 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t3200 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t3201 () (tptp.hAPP @t135 @t3)) % 6.43/6.69 (define @t3202 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t337 @t692)) % 6.43/6.69 (define @t3203 () (tptp.hAPP (tptp.hAPP @t2398 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t8 @t8) (tptp.hAPP (tptp.hAPP @t2410 @t557) @t2)) (tptp.hAPP @t2815 (tptp.hAPP @t2828 @t1615)))) @t3202)) % 6.43/6.69 (define @t3204 () (tptp.hAPP @t1226 @t1615)) % 6.43/6.69 (define @t3205 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1615 @t692)) % 6.43/6.69 (define @t3206 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1653 @t1137)) % 6.43/6.69 (define @t3207 () (tptp.c_Nat__Transfer_Ois__nat @t210)) % 6.43/6.69 (define @t3208 () (tptp.c_Nat__Transfer_Ois__nat @t132)) % 6.43/6.69 (define @t3209 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2094 @t692)) % 6.43/6.69 (define @t3210 () (tptp.hBOOL (tptp.hAPP @t1635 @t3209))) % 6.43/6.69 (define @t3211 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1633) @t692))) % 6.43/6.69 (define @t3212 () (tptp.hAPP tptp.c_Nat_OSuc @t1137)) % 6.43/6.69 (define @t3213 () (not @t598)) % 6.43/6.69 (define @t3214 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t109)) % 6.43/6.69 (define @t3215 () (= @t3214 @t56)) % 6.43/6.69 (define @t3216 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t18 @t116)) % 6.43/6.69 (define @t3217 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1034 @t1190)) % 6.43/6.69 (define @t3218 () (@list @t61)) % 6.43/6.69 (define @t3219 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t337 @t1780)) % 6.43/6.69 (define @t3220 () (tptp.hAPP @t2376 @t2)) % 6.43/6.69 (define @t3221 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t1653 @t1137)) % 6.43/6.69 (define @t3222 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t337 @t1137)) % 6.43/6.69 (define @t3223 () (tptp.hAPP @t729 @t3214)) % 6.43/6.69 (define @t3224 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t1653 @t337)) % 6.43/6.69 (define @t3225 () (tptp.hAPP @t193 @t3224)) % 6.43/6.69 (define @t3226 () (tptp.hAPP @t729 @t3224)) % 6.43/6.69 (define @t3227 () (tptp.hAPP @t2399 @t3202)) % 6.43/6.69 (define @t3228 () (tptp.hAPP @t2 @t1780)) % 6.43/6.69 (define @t3229 () (tptp.hAPP @t928 @t3227)) % 6.43/6.69 (define @t3230 () (tptp.hAPP @t2399 @t3219)) % 6.43/6.69 (define @t3231 () (tptp.hAPP @t1199 @t1780)) % 6.43/6.69 (define @t3232 () (tptp.hBOOL (tptp.hAPP @t3231 @t337))) % 6.43/6.69 (define @t3233 () (tptp.hAPP @t2398 @t136)) % 6.43/6.69 (define @t3234 () (tptp.hAPP @t1226 @t2866)) % 6.43/6.69 (define @t3235 () (tptp.hAPP @t193 @t2820)) % 6.43/6.69 (define @t3236 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t8) tptp.c_Int_Onat) @t2)) % 6.43/6.69 (define @t3237 () (forall @t7 (=> @t234 (tptp.c_Nat__Transfer_Ois__nat @t5)))) % 6.43/6.69 (define @t3238 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t3239 () (tptp.hAPP @t3238 @t1720)) % 6.43/6.69 (define @t3240 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t3241 () (tptp.hAPP @t3240 @t692)) % 6.43/6.69 (define @t3242 () (tptp.hAPP @t2877 @t3241)) % 6.43/6.69 (define @t3243 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1653 @t1137)) % 6.43/6.69 (define @t3244 () (tptp.hAPP @t3240 @t690)) % 6.43/6.69 (define @t3245 () (tptp.c_SetInterval_Oord__class_OatMost @t8)) % 6.43/6.69 (define @t3246 () (tptp.hAPP @t3245 @t64)) % 6.43/6.69 (define @t3247 () (tptp.hAPP @t3245 @t61)) % 6.43/6.69 (define @t3248 () (tptp.c_SetInterval_Oord__class_OatLeast @t8)) % 6.43/6.69 (define @t3249 () (tptp.hAPP @t3248 @t64)) % 6.43/6.69 (define @t3250 () (tptp.hAPP @t3248 @t61)) % 6.43/6.69 (define @t3251 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t61 @t64))) % 6.43/6.69 (define @t3252 () (tptp.hAPP @t3248 @t690)) % 6.43/6.69 (define @t3253 () (tptp.hAPP @t3245 @t690)) % 6.43/6.69 (define @t3254 () (tptp.hAPP @t3248 @t1653)) % 6.43/6.69 (define @t3255 () (tptp.hAPP @t3248 @t1137)) % 6.43/6.69 (define @t3256 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1034 @t1190)) % 6.43/6.69 (define @t3257 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t1190) @t1034))) % 6.43/6.69 (define @t3258 () (tptp.hAPP @t3245 @t1137)) % 6.43/6.69 (define @t3259 () (tptp.hAPP @t3245 @t1653)) % 6.43/6.69 (define @t3260 () (tptp.hAPP @t193 @t3259)) % 6.43/6.69 (define @t3261 () (tptp.hAPP @t729 @t3259)) % 6.43/6.69 (define @t3262 () (tptp.hAPP @t2454 @t3)) % 6.43/6.69 (define @t3263 () (tptp.hAPP @t3262 @t283)) % 6.43/6.69 (define @t3264 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t3) @t32))) % 6.43/6.69 (define @t3265 () (@var "B_xb" $$unsorted)) % 6.43/6.69 (define @t3266 () (tptp.hAPP @t2703 @t3265)) % 6.43/6.69 (define @t3267 () (@list @t3265)) % 6.43/6.69 (define @t3268 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2453 @t283)) % 6.43/6.69 (define @t3269 () (tptp.hAPP @t2703 @t813)) % 6.43/6.69 (define @t3270 () (tptp.hBOOL (tptp.hAPP @t3269 @t3268))) % 6.43/6.69 (define @t3271 () (forall @t817 (=> @t3270 (forall @t3267 (=> (tptp.hBOOL (tptp.hAPP @t3266 @t51)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t2494 @t3265) @t813)))))))) % 6.43/6.69 (define @t3272 () (tptp.hAPP @t2454 @t32)) % 6.43/6.69 (define @t3273 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2703 (tptp.hAPP @t3272 @t2453)) @t51))) % 6.43/6.69 (define @t3274 () (tptp.hBOOL (tptp.hAPP @t2486 @t283))) % 6.43/6.69 (define @t3275 () (@list @t51 @t32 @t283)) % 6.43/6.69 (define @t3276 () (tptp.hAPP @t2494 @t3)) % 6.43/6.69 (define @t3277 () (tptp.hAPP @t3276 @t283)) % 6.43/6.69 (define @t3278 () (tptp.hAPP @t2448 @t32)) % 6.43/6.69 (define @t3279 () (tptp.hBOOL (tptp.hAPP @t3278 @t3))) % 6.43/6.69 (define @t3280 () (forall @t817 (=> @t3270 (forall @t3267 (=> (tptp.hBOOL (tptp.hAPP @t3266 @t77)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t2454 @t3265) @t813)))))))) % 6.43/6.69 (define @t3281 () (tptp.hAPP @t2494 @t32)) % 6.43/6.69 (define @t3282 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2703 (tptp.hAPP @t3281 @t2453)) @t77))) % 6.43/6.69 (define @t3283 () (@list @t77 @t32 @t283)) % 6.43/6.69 (define @t3284 () (not (= @t3 @t32))) % 6.43/6.69 (define @t3285 () (tptp.hAPP @t2703 @t32)) % 6.43/6.69 (define @t3286 () (tptp.hBOOL (tptp.hAPP @t3285 @t51))) % 6.43/6.69 (define @t3287 () (tptp.hBOOL (tptp.hAPP @t3285 @t77))) % 6.43/6.69 (define @t3288 () (tptp.hBOOL (tptp.hAPP @t3184 @t3268))) % 6.43/6.69 (define @t3289 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3) @t32))) % 6.43/6.69 (define @t3290 () (tptp.hAPP @t2429 @t32)) % 6.43/6.69 (define @t3291 () (tptp.hBOOL (tptp.hAPP @t3290 @t3))) % 6.43/6.69 (define @t3292 () (@list @t32 @t77 @t283)) % 6.43/6.69 (define @t3293 () (@list @t32 @t51 @t283)) % 6.43/6.69 (define @t3294 () (tptp.hAPP @t2486 @t116)) % 6.43/6.69 (define @t3295 () (tptp.hBOOL @t3294)) % 6.43/6.69 (define @t3296 () (tptp.hAPP @t2908 @t116)) % 6.43/6.69 (define @t3297 () (tptp.hAPP @t2452 @t690)) % 6.43/6.69 (define @t3298 () (tptp.hBOOL @t3297)) % 6.43/6.69 (define @t3299 () (@list @t690 @t136 @t116)) % 6.43/6.69 (define @t3300 () (@list @t132)) % 6.43/6.69 (define @t3301 () (tptp.hAPP @t1184 @t2734)) % 6.43/6.69 (define @t3302 () (tptp.hBOOL @t1301)) % 6.43/6.69 (define @t3303 () (tptp.hBOOL (tptp.hAPP @t232 (tptp.hAPP (tptp.hAPP @t528 @t1597) @t392)))) % 6.43/6.69 (define @t3304 () (forall @t7 (=> @t3303 @t1918))) % 6.43/6.69 (define @t3305 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t392) @t1597))) % 6.43/6.69 (define @t3306 () (@list @t2 @t392 @t1597 @t8 @t47)) % 6.43/6.69 (define @t3307 () (tptp.hBOOL (tptp.hAPP @t2103 @t1714))) % 6.43/6.69 (define @t3308 () (forall @t7 (=> @t3303 @t2111))) % 6.43/6.69 (define @t3309 () (tptp.hAPP @t2510 @t2377)) % 6.43/6.69 (define @t3310 () (tptp.c_Set_OPow @t8)) % 6.43/6.69 (define @t3311 () (tptp.hAPP @t3310 @t51)) % 6.43/6.69 (define @t3312 () (tptp.c_Finite__Set_Ocard @t55)) % 6.43/6.69 (define @t3313 () (tptp.hAPP @t3310 @t77)) % 6.43/6.69 (define @t3314 () (tptp.hAPP @t1295 @t51)) % 6.43/6.69 (define @t3315 () (tptp.hBOOL (tptp.hAPP @t3314 @t3313))) % 6.43/6.69 (define @t3316 () (tptp.hAPP (tptp.c_Set_Oimage @t48 @t55 @t78) (tptp.hAPP (tptp.c_Set_OPow @t47) @t51))) % 6.43/6.69 (define @t3317 () (@list @t1715)) % 6.43/6.69 (define @t3318 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t1336 @t47) @t3310) @t77)) % 6.43/6.69 (define @t3319 () (tptp.hAPP @t1346 @t3311)) % 6.43/6.69 (define @t3320 () (tptp.c_COMBB @t1336 tptp.tc_HOL_Obool @t55)) % 6.43/6.69 (define @t3321 () (tptp.c_COMBB tptp.tc_HOL_Obool @t525 @t55)) % 6.43/6.69 (define @t3322 () (tptp.tc_fun @t55 @t525)) % 6.43/6.69 (define @t3323 () (tptp.hAPP (tptp.c_COMBB @t1336 @t3322 @t55) (tptp.hAPP @t3321 tptp.c_fconj))) % 6.43/6.69 (define @t3324 () (tptp.c_COMBS @t55 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t3325 () (tptp.tc_fun @t1336 @t1336)) % 6.43/6.69 (define @t3326 () (tptp.hAPP (tptp.c_COMBB @t3322 @t3325 @t55) @t3324)) % 6.43/6.69 (define @t3327 () (tptp.c_COMBC @t55 @t1336 @t1336)) % 6.43/6.69 (define @t3328 () (@var "B_c2" $$unsorted)) % 6.43/6.69 (define @t3329 () (@var "B_c1" $$unsorted)) % 6.43/6.69 (define @t3330 () (@var "B_c" $$unsorted)) % 6.43/6.69 (define @t3331 () (forall @t7 (=> @t2715 @t6))) % 6.43/6.69 (define @t3332 () (@list @t1 @t2 @t77 @t51 @t8)) % 6.43/6.69 (define @t3333 () (tptp.hBOOL (tptp.hAPP @t2906 @t2248))) % 6.43/6.69 (define @t3334 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t692 @t690)) % 6.43/6.69 (define @t3335 () (tptp.hBOOL (tptp.hAPP @t2914 @t3334))) % 6.43/6.69 (define @t3336 () (@list @t692 @t136 @t690)) % 6.43/6.69 (define @t3337 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t132 @t1152)) % 6.43/6.69 (define @t3338 () (@list @t210 @t1152 @t132)) % 6.43/6.69 (define @t3339 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2760 @t38)) % 6.43/6.69 (define @t3340 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t255 @t2763)) % 6.43/6.69 (define @t3341 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t255 @t38)) % 6.43/6.69 (define @t3342 () (tptp.c_Divides_Odiv__class_Omod @t8 @t255 @t38)) % 6.43/6.69 (define @t3343 () (tptp.c_Divides_Odiv__class_Omod @t8 @t1316 @t38)) % 6.43/6.69 (define @t3344 () (tptp.class_Divides_Oring__div @t8)) % 6.43/6.69 (define @t3345 () (tptp.c_Divides_Odiv__class_Omod @t8 @t38 @t254)) % 6.43/6.69 (define @t3346 () (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t931 @t3345) @t254)) % 6.43/6.69 (define @t3347 () (tptp.c_Divides_Odiv__class_Omod @t8 @t932 @t254)) % 6.43/6.69 (define @t3348 () (tptp.c_Divides_Odiv__class_Omod @t8 @t255 @t254)) % 6.43/6.69 (define @t3349 () (tptp.hAPP @t928 @t3348)) % 6.43/6.69 (define @t3350 () (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t3349 @t38) @t254)) % 6.43/6.69 (define @t3351 () (= @t3345 (tptp.c_Divides_Odiv__class_Omod @t8 @t2657 @t254))) % 6.43/6.69 (define @t3352 () (= @t3348 (tptp.c_Divides_Odiv__class_Omod @t8 @t981 @t254))) % 6.43/6.69 (define @t3353 () (@list @t2657 @t38 @t981 @t254 @t255 @t8)) % 6.43/6.69 (define @t3354 () (tptp.c_Divides_Odiv__class_Omod @t8 @t1731 @t254)) % 6.43/6.69 (define @t3355 () (tptp.hAPP @t1725 @t3348)) % 6.43/6.69 (define @t3356 () (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t3355 @t38) @t254)) % 6.43/6.69 (define @t3357 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t38 @t254)) % 6.43/6.69 (define @t3358 () (tptp.hAPP @t2647 @t3357)) % 6.43/6.69 (define @t3359 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3358 @t254)) % 6.43/6.69 (define @t3360 () (tptp.hAPP @t2647 @t38)) % 6.43/6.69 (define @t3361 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3360 @t254)) % 6.43/6.69 (define @t3362 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t132 @t210)) % 6.43/6.69 (define @t3363 () (tptp.c_Divides_Odiv__class_Omod @t8 @t980 @t254)) % 6.43/6.69 (define @t3364 () (tptp.hAPP @t557 @t3348)) % 6.43/6.69 (define @t3365 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2745 @t1152)) % 6.43/6.69 (define @t3366 () (tptp.hBOOL (tptp.hAPP @t2670 @t3341))) % 6.43/6.69 (define @t3367 () (@list @t255 @t38)) % 6.43/6.69 (define @t3368 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3341) @t38))) % 6.43/6.69 (define @t3369 () (@list @t116 @t337)) % 6.43/6.69 (define @t3370 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1161 @t1238)) % 6.43/6.69 (define @t3371 () (not (= @t3370 @t2450))) % 6.43/6.69 (define @t3372 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1161 @t2920)) % 6.43/6.69 (define @t3373 () (@list @t1238 @t1161)) % 6.43/6.69 (define @t3374 () (tptp.hAPP @t2754 @t38)) % 6.43/6.69 (define @t3375 () (tptp.hAPP @t3374 @t254)) % 6.43/6.69 (define @t3376 () (tptp.hAPP @t2454 @t255)) % 6.43/6.69 (define @t3377 () (tptp.hAPP @t3376 @t38)) % 6.43/6.69 (define @t3378 () (tptp.hAPP (tptp.hAPP @t1725 @t2800) @t38)) % 6.43/6.69 (define @t3379 () (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t1732 @t2800)) @t3342)) % 6.43/6.69 (define @t3380 () (tptp.hAPP (tptp.hAPP @t928 @t3378) @t3342)) % 6.43/6.69 (define @t3381 () (= @t3341 @t255)) % 6.43/6.69 (define @t3382 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t3341) @t2450))) % 6.43/6.69 (define @t3383 () (tptp.hBOOL (tptp.hAPP @t2452 @t3341))) % 6.43/6.69 (define @t3384 () (tptp.hAPP @t2494 @t38)) % 6.43/6.69 (define @t3385 () (= @t3341 @t2450)) % 6.43/6.69 (define @t3386 () (not @t3385)) % 6.43/6.69 (define @t3387 () (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2665 @t2767)) @t3341)) % 6.43/6.69 (define @t3388 () (tptp.hAPP @t3376 @t1161)) % 6.43/6.69 (define @t3389 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1152 @t1153)) % 6.43/6.69 (define @t3390 () (tptp.hAPP @t2494 @t1152)) % 6.43/6.69 (define @t3391 () (tptp.hAPP (tptp.hAPP @t2754 @t1152) @t1153)) % 6.43/6.69 (define @t3392 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t3377) @t2450))) % 6.43/6.69 (define @t3393 () (@var "V_q_1" $$unsorted)) % 6.43/6.69 (define @t3394 () (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2665 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2440 @t254))) @t2242)) % 6.43/6.69 (define @t3395 () (@list @t2440 @t2242 @t38 @t254)) % 6.43/6.69 (define @t3396 () (@list @t2440 @t38 @t2242 @t254)) % 6.43/6.69 (define @t3397 () (tptp.hBOOL (tptp.hAPP @t136 @t2248))) % 6.43/6.69 (define @t3398 () (tptp.hAPP @t2427 @t2767)) % 6.43/6.69 (define @t3399 () (tptp.hAPP (tptp.hAPP @t2494 @t3398) @t2453)) % 6.43/6.69 (define @t3400 () (not (= @t38 @t2450))) % 6.43/6.69 (define @t3401 () (tptp.c_SMT_Oz3mod @t1161 @t1238)) % 6.43/6.69 (define @t3402 () (tptp.c_Groups_Osgn__class_Osgn @t8 @t132)) % 6.43/6.69 (define @t3403 () (= @t132 @t2105)) % 6.43/6.69 (define @t3404 () (tptp.class_Groups_Osgn__if @t8)) % 6.43/6.69 (define @t3405 () (tptp.c_Groups_Osgn__class_Osgn @t8 @t13)) % 6.43/6.69 (define @t3406 () (tptp.c_Groups_Osgn__class_Osgn @t8 @t255)) % 6.43/6.69 (define @t3407 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1152 @t1153)) % 6.43/6.69 (define @t3408 () (=> @t1201 (= @t3407 @t1152))) % 6.43/6.69 (define @t3409 () (tptp.hAPP @t1184 @t3407)) % 6.43/6.69 (define @t3410 () (tptp.hAPP tptp.c_Nat_OSuc @t3407)) % 6.43/6.69 (define @t3411 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1717 @t1153)) % 6.43/6.69 (define @t3412 () (= @t3410 @t1153)) % 6.43/6.69 (define @t3413 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1171 @t1153)) % 6.43/6.69 (define @t3414 () (= @t3407 @t3413)) % 6.43/6.69 (define @t3415 () (=> @t1273 @t3414)) % 6.43/6.69 (define @t3416 () (tptp.hAPP (tptp.hAPP @t1000 @t1812) @t1152)) % 6.43/6.69 (define @t3417 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t255 @t38)) % 6.43/6.69 (define @t3418 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t132 @t210)) % 6.43/6.69 (define @t3419 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t38 @t254)) % 6.43/6.69 (define @t3420 () (tptp.hAPP (tptp.hAPP @t2935 @t38) @t254)) % 6.43/6.69 (define @t3421 () (tptp.hAPP (tptp.hAPP @t1000 @t255) @t38)) % 6.43/6.69 (define @t3422 () (tptp.hAPP @t1721 @t255)) % 6.43/6.69 (define @t3423 () (tptp.hAPP @t3422 @t38)) % 6.43/6.69 (define @t3424 () (tptp.hAPP @t1170 @t3407)) % 6.43/6.69 (define @t3425 () (tptp.hAPP (tptp.hAPP @t1721 @t2938) @t1153)) % 6.43/6.69 (define @t3426 () (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t2941 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2440 @t254))) @t2242)) % 6.43/6.69 (define @t3427 () (tptp.hBOOL (tptp.hAPP @t2103 @t254))) % 6.43/6.69 (define @t3428 () (tptp.hAPP tptp.c_Int_Onat @t3362)) % 6.43/6.69 (define @t3429 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3147 @t3146)) % 6.43/6.69 (define @t3430 () (tptp.hAPP @t2427 @t2453)) % 6.43/6.69 (define @t3431 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1165)) % 6.43/6.69 (define @t3432 () (tptp.hBOOL (tptp.hAPP @t2486 @t1165))) % 6.43/6.69 (define @t3433 () (= @t1165 @t2450)) % 6.43/6.69 (define @t3434 () (@list @t1165)) % 6.43/6.69 (define @t3435 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3436 () (tptp.hAPP (tptp.hAPP @t2466 (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t3435 (tptp.hAPP @t2744 @t272))) @t2453)) @t446)) % 6.43/6.69 (define @t3437 () (tptp.hBOOL (tptp.hAPP @t2486 @t446))) % 6.43/6.69 (define @t3438 () (tptp.c_Groups_Oabs__class_Oabs @t8)) % 6.43/6.69 (define @t3439 () (tptp.hAPP (tptp.hAPP @t1351 @t3438) @t2)) % 6.43/6.69 (define @t3440 () (tptp.hAPP (tptp.hAPP @t776 @t3439) @t51)) % 6.43/6.69 (define @t3441 () (tptp.class_Groups_Oordered__ab__group__add__abs @t8)) % 6.43/6.69 (define @t3442 () (tptp.hAPP @t3438 @t38)) % 6.43/6.69 (define @t3443 () (tptp.hAPP @t3438 @t255)) % 6.43/6.69 (define @t3444 () (= (tptp.hAPP @t3438 @t2983) (tptp.hAPP (tptp.hAPP @t2981 @t3443) @t3442))) % 6.43/6.69 (define @t3445 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3443) @t38))) % 6.43/6.69 (define @t3446 () (tptp.hAPP @t1725 @t3443)) % 6.43/6.69 (define @t3447 () (tptp.hAPP @t3446 @t3442)) % 6.43/6.69 (define @t3448 () (= (tptp.hAPP @t3438 @t1731) @t3447)) % 6.43/6.69 (define @t3449 () (tptp.hAPP (tptp.hAPP @t928 @t3443) @t3442)) % 6.43/6.69 (define @t3450 () (tptp.hAPP @t3438 @t13)) % 6.43/6.69 (define @t3451 () (tptp.hAPP @t2433 @t3443)) % 6.43/6.69 (define @t3452 () (tptp.hAPP @t3451 @t1153)) % 6.43/6.69 (define @t3453 () (tptp.hAPP @t3438 @t2520)) % 6.43/6.69 (define @t3454 () (tptp.hAPP @t3438 @t1335)) % 6.43/6.69 (define @t3455 () (tptp.hAPP @t3438 @t980)) % 6.43/6.69 (define @t3456 () (= @t3443 @t255)) % 6.43/6.69 (define @t3457 () (tptp.hAPP @t158 @t3450)) % 6.43/6.69 (define @t3458 () (not @t2122)) % 6.43/6.69 (define @t3459 () (tptp.hAPP @t627 @t3443)) % 6.43/6.69 (define @t3460 () (tptp.hAPP (tptp.hAPP @t557 @t3443) @t3442)) % 6.43/6.69 (define @t3461 () (tptp.hAPP @t158 @t3460)) % 6.43/6.69 (define @t3462 () (tptp.hAPP @t158 @t1316)) % 6.43/6.69 (define @t3463 () (tptp.hBOOL (tptp.hAPP @t3462 @t38))) % 6.43/6.69 (define @t3464 () (tptp.hAPP (tptp.hAPP @t2466 @t1152) @t1153)) % 6.43/6.69 (define @t3465 () (tptp.hAPP @t3438 @t132)) % 6.43/6.69 (define @t3466 () (= @t3443 @t1316)) % 6.43/6.69 (define @t3467 () (=> @t2211 @t3466)) % 6.43/6.69 (define @t3468 () (tptp.hAPP @t3435 @t1165)) % 6.43/6.69 (define @t3469 () (tptp.hBOOL (tptp.hAPP @t2489 @t2450))) % 6.43/6.69 (define @t3470 () (tptp.hAPP @t3435 @t132)) % 6.43/6.69 (define @t3471 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3435 @t210))) % 6.43/6.69 (define @t3472 () (tptp.hAPP tptp.c_Int_Onat @t3470)) % 6.43/6.69 (define @t3473 () (= @t2735 @t690)) % 6.43/6.69 (define @t3474 () (tptp.hBOOL (tptp.hAPP @t3301 @t692))) % 6.43/6.69 (define @t3475 () (tptp.hBOOL (tptp.hAPP @t2855 @t2397))) % 6.43/6.69 (define @t3476 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 (tptp.hAPP @t3435 (tptp.hAPP (tptp.hAPP @t2494 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t1000 @t2734) @t1615))) @t2735))) @t2453))) % 6.43/6.69 (define @t3477 () (tptp.hAPP @t1199 @t2734)) % 6.43/6.69 (define @t3478 () (tptp.hBOOL (tptp.hAPP @t3477 @t692))) % 6.43/6.69 (define @t3479 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t3199) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t3199) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 6.43/6.69 (define @t3480 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t3481 () (tptp.hAPP @t3480 (tptp.hAPP @t3479 @t2094))) % 6.43/6.69 (define @t3482 () (tptp.hAPP @t3481 tptp.c_Int_Onat)) % 6.43/6.69 (define @t3483 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t3484 () (tptp.hAPP (tptp.hAPP @t864 @t3104) @t3103)) % 6.43/6.69 (define @t3485 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3102))) % 6.43/6.69 (define @t3486 () (@var "V_Z_2" $$unsorted)) % 6.43/6.69 (define @t3487 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t272))) % 6.43/6.69 (define @t3488 () (tptp.c_Nitpick_Onat__gcd @t132 @t210)) % 6.43/6.69 (define @t3489 () (tptp.c_Com_Ocom_OCond @t238 @t552 @t549)) % 6.43/6.69 (define @t3490 () (@list @t549 @t552 @t238)) % 6.43/6.69 (define @t3491 () (@var "V_c2_2" $$unsorted)) % 6.43/6.69 (define @t3492 () (@var "V_c1_2" $$unsorted)) % 6.43/6.69 (define @t3493 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t3492))) % 6.43/6.69 (define @t3494 () (tptp.c_Com_Ocom_OCond @t237 @t551 @t548)) % 6.43/6.69 (define @t3495 () (@list @t548 @t551 @t237)) % 6.43/6.69 (define @t3496 () (= @t210 @t2094)) % 6.43/6.69 (define @t3497 () (tptp.hAPP tptp.c_Nat_OSuc @t2734)) % 6.43/6.69 (define @t3498 () (tptp.hBOOL (tptp.hAPP @t1292 @t2078))) % 6.43/6.69 (define @t3499 () (tptp.hBOOL (tptp.hAPP @t2079 @t225))) % 6.43/6.69 (define @t3500 () (tptp.hAPP @t154 @t42)) % 6.43/6.69 (define @t3501 () (tptp.hBOOL (tptp.hAPP @t3500 @t51))) % 6.43/6.69 (define @t3502 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t3503 () (tptp.hAPP @t3502 @t2337)) % 6.43/6.69 (define @t3504 () (tptp.hAPP (tptp.hAPP @t864 @t3503) @t1615)) % 6.43/6.69 (define @t3505 () (@list @t2337)) % 6.43/6.69 (define @t3506 () (@var "V_loc_2" $$unsorted)) % 6.43/6.69 (define @t3507 () (tptp.c_Com_Ocom_OLocal @t3506 @t238 @t290)) % 6.43/6.69 (define @t3508 () (@list @t290 @t238 @t3506)) % 6.43/6.69 (define @t3509 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t144 @t13 @t18)))) % 6.43/6.69 (define @t3510 () (tptp.c_Int_Onumber__class_Onumber__of @t8)) % 6.43/6.69 (define @t3511 () (tptp.hAPP @t3510 @t1161)) % 6.43/6.69 (define @t3512 () (tptp.class_Int_Onumber__ring @t8)) % 6.43/6.69 (define @t3513 () (tptp.hAPP @t3510 @t2337)) % 6.43/6.69 (define @t3514 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3515 () (tptp.hAPP @t3514 @t2337)) % 6.43/6.69 (define @t3516 () (@list @t2337 @t8)) % 6.43/6.69 (define @t3517 () (@var "V_loc_H_2" $$unsorted)) % 6.43/6.69 (define @t3518 () (tptp.c_Com_Ocom_OLocal @t3517 @t237 @t289)) % 6.43/6.69 (define @t3519 () (tptp.hAPP @t3510 @t1773)) % 6.43/6.69 (define @t3520 () (tptp.class_Int_Onumber @t8)) % 6.43/6.69 (define @t3521 () (tptp.hAPP @t3510 @t64)) % 6.43/6.69 (define @t3522 () (tptp.hAPP @t3510 @t61)) % 6.43/6.69 (define @t3523 () (= @t3522 @t3521)) % 6.43/6.69 (define @t3524 () (and @t3512 @t2513)) % 6.43/6.69 (define @t3525 () (tptp.hAPP @t2407 @t3503)) % 6.43/6.69 (define @t3526 () (= @t3525 @t2105)) % 6.43/6.69 (define @t3527 () (tptp.hBOOL (tptp.hAPP @t2452 @t3515))) % 6.43/6.69 (define @t3528 () (= @t3525 @t3513)) % 6.43/6.69 (define @t3529 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3515))) % 6.43/6.69 (define @t3530 () (not @t3529)) % 6.43/6.69 (define @t3531 () (@list @t289 @t237 @t3517)) % 6.43/6.69 (define @t3532 () (tptp.hAPP @t3510 @t1865)) % 6.43/6.69 (define @t3533 () (tptp.hAPP @t627 @t3519)) % 6.43/6.69 (define @t3534 () (@list @t1773 @t1865 @t8)) % 6.43/6.69 (define @t3535 () (tptp.c_Int_Onumber__class_Onumber__of @t47)) % 6.43/6.69 (define @t3536 () (tptp.hAPP @t3535 @t2337)) % 6.43/6.69 (define @t3537 () (tptp.hAPP (tptp.hAPP @t1704 @t38) @t3536)) % 6.43/6.69 (define @t3538 () (tptp.hAPP (tptp.hAPP @t1704 @t255) @t3536)) % 6.43/6.69 (define @t3539 () (tptp.class_Int_Onumber @t47)) % 6.43/6.69 (define @t3540 () (and @t3539 (tptp.class_Rings_Osemiring @t47))) % 6.43/6.69 (define @t3541 () (@list @t2337 @t38 @t255 @t47)) % 6.43/6.69 (define @t3542 () (tptp.hAPP @t1704 @t3536)) % 6.43/6.69 (define @t3543 () (tptp.hAPP @t3542 @t254)) % 6.43/6.69 (define @t3544 () (tptp.hAPP @t3542 @t38)) % 6.43/6.69 (define @t3545 () (@list @t254 @t38 @t2337 @t47)) % 6.43/6.69 (define @t3546 () (and @t3539 @t728)) % 6.43/6.69 (define @t3547 () (tptp.hAPP @t158 @t3522)) % 6.43/6.69 (define @t3548 () (and @t3512 @t1658)) % 6.43/6.69 (define @t3549 () (tptp.hAPP @t627 @t3522)) % 6.43/6.69 (define @t3550 () (tptp.hAPP @t3535 @t1906)) % 6.43/6.69 (define @t3551 () (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin @t47) @t3550) @t3536)) % 6.43/6.69 (define @t3552 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t201 @t3550) @t3536))) % 6.43/6.69 (define @t3553 () (not @t3552)) % 6.43/6.69 (define @t3554 () (and @t3539 @t206)) % 6.43/6.69 (define @t3555 () (@list @t2337 @t1906 @t47)) % 6.43/6.69 (define @t3556 () (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax @t47) @t3550) @t3536)) % 6.43/6.69 (define @t3557 () (tptp.hAPP @t2454 @t2337)) % 6.43/6.69 (define @t3558 () (tptp.hAPP @t3557 @t2566)) % 6.43/6.69 (define @t3559 () (tptp.hAPP @t3510 @t3558)) % 6.43/6.69 (define @t3560 () (tptp.hAPP @t3510 @t2566)) % 6.43/6.69 (define @t3561 () (tptp.hAPP @t928 @t3513)) % 6.43/6.69 (define @t3562 () (@list @t272 @t2566 @t2337 @t8)) % 6.43/6.69 (define @t3563 () (tptp.hAPP @t3561 @t3560)) % 6.43/6.69 (define @t3564 () (@list @t2566 @t2337 @t8)) % 6.43/6.69 (define @t3565 () (tptp.hAPP @t2466 @t2337)) % 6.43/6.69 (define @t3566 () (tptp.hAPP @t3565 @t2566)) % 6.43/6.69 (define @t3567 () (tptp.hAPP @t3510 @t3566)) % 6.43/6.69 (define @t3568 () (tptp.hAPP @t1725 @t3513)) % 6.43/6.69 (define @t3569 () (tptp.hAPP @t3568 @t3560)) % 6.43/6.69 (define @t3570 () (tptp.hAPP @t557 @t3513)) % 6.43/6.69 (define @t3571 () (tptp.hAPP @t3570 @t3560)) % 6.43/6.69 (define @t3572 () (tptp.hAPP @t1312 @t3560)) % 6.43/6.69 (define @t3573 () (tptp.hAPP @t3510 @t2603)) % 6.43/6.69 (define @t3574 () (@list @t2566 @t8)) % 6.43/6.69 (define @t3575 () (tptp.hAPP @t154 @t3519)) % 6.43/6.69 (define @t3576 () (@list @t1773 @t8)) % 6.43/6.69 (define @t3577 () (= @t3519 @t2105)) % 6.43/6.69 (define @t3578 () (=> @t3577 @t2122)) % 6.43/6.69 (define @t3579 () (tptp.hAPP @t1767 @t3519)) % 6.43/6.69 (define @t3580 () (not @t3577)) % 6.43/6.69 (define @t3581 () (tptp.hAPP @t2995 @t3519)) % 6.43/6.69 (define @t3582 () (and @t2985 @t3520)) % 6.43/6.69 (define @t3583 () (@list @t1773 @t109 @t13 @t8)) % 6.43/6.69 (define @t3584 () (=> @t2998 @t3577)) % 6.43/6.69 (define @t3585 () (tptp.hAPP (tptp.hAPP @t1725 @t3519) @t18)) % 6.43/6.69 (define @t3586 () (@list @t18 @t109 @t1773 @t8)) % 6.43/6.69 (define @t3587 () (@list @t1773 @t18 @t109 @t8)) % 6.43/6.69 (define @t3588 () (@list @t13 @t1773 @t109 @t8)) % 6.43/6.69 (define @t3589 () (tptp.hAPP @t3557 @t2603)) % 6.43/6.69 (define @t3590 () (tptp.hAPP @t3510 @t3589)) % 6.43/6.69 (define @t3591 () (tptp.hBOOL (tptp.hAPP @t3533 @t2105))) % 6.43/6.69 (define @t3592 () (not @t3591)) % 6.43/6.69 (define @t3593 () (tptp.hBOOL (tptp.hAPP @t1328 @t3579))) % 6.43/6.69 (define @t3594 () (tptp.hBOOL (tptp.hAPP @t2212 @t3519))) % 6.43/6.69 (define @t3595 () (not @t3594)) % 6.43/6.69 (define @t3596 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3579) @t109))) % 6.43/6.69 (define @t3597 () (and @t3022 @t3520)) % 6.43/6.69 (define @t3598 () (tptp.hBOOL (tptp.hAPP @t1328 @t3585))) % 6.43/6.69 (define @t3599 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3585) @t109))) % 6.43/6.69 (define @t3600 () (tptp.hAPP @t3510 @t132)) % 6.43/6.69 (define @t3601 () (tptp.hAPP @t3438 @t3600)) % 6.43/6.69 (define @t3602 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3600) @t2105))) % 6.43/6.69 (define @t3603 () (tptp.hBOOL (tptp.hAPP @t1323 @t3579))) % 6.43/6.69 (define @t3604 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3579) @t109))) % 6.43/6.69 (define @t3605 () (tptp.hAPP @t158 @t3519)) % 6.43/6.69 (define @t3606 () (tptp.hBOOL (tptp.hAPP @t1323 @t3585))) % 6.43/6.69 (define @t3607 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3585) @t109))) % 6.43/6.69 (define @t3608 () (@var "V_v_H" $$unsorted)) % 6.43/6.69 (define @t3609 () (tptp.hAPP @t3514 @t3608)) % 6.43/6.69 (define @t3610 () (tptp.hAPP @t3502 @t3608)) % 6.43/6.69 (define @t3611 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2095 @t3610)) % 6.43/6.69 (define @t3612 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3609))) % 6.43/6.69 (define @t3613 () (not @t3612)) % 6.43/6.69 (define @t3614 () (@list @t3608)) % 6.43/6.69 (define @t3615 () (tptp.hAPP @t2754 @t2453)) % 6.43/6.69 (define @t3616 () (tptp.c_Int_OBit1 @t1773)) % 6.43/6.69 (define @t3617 () (tptp.hAPP @t3502 @t3616)) % 6.43/6.69 (define @t3618 () (tptp.hAPP @t2433 @t3532)) % 6.43/6.69 (define @t3619 () (tptp.hAPP @t3618 @t3617)) % 6.43/6.69 (define @t3620 () (tptp.hAPP @t3514 @t1773)) % 6.43/6.69 (define @t3621 () (tptp.hBOOL (tptp.hAPP @t2452 @t3620))) % 6.43/6.69 (define @t3622 () (not @t3621)) % 6.43/6.69 (define @t3623 () (tptp.c_COMBB @t8 @t769 @t8)) % 6.43/6.69 (define @t3624 () (tptp.hAPP @t3623 @t1725)) % 6.43/6.69 (define @t3625 () (tptp.c_COMBS @t8 @t8 @t8)) % 6.43/6.69 (define @t3626 () (tptp.hAPP @t3502 @t1773)) % 6.43/6.69 (define @t3627 () (tptp.c_HOL_OLet @t8 @t8)) % 6.43/6.69 (define @t3628 () (tptp.hAPP @t3627 (tptp.hAPP @t3618 @t3626))) % 6.43/6.69 (define @t3629 () (tptp.hAPP @t3502 @t2566)) % 6.43/6.69 (define @t3630 () (tptp.hAPP @t2463 @t3515)) % 6.43/6.69 (define @t3631 () (tptp.hAPP @t2510 @t3503)) % 6.43/6.69 (define @t3632 () (tptp.hAPP @t3631 @t3629)) % 6.43/6.69 (define @t3633 () (tptp.hAPP @t2510 @t2094)) % 6.43/6.69 (define @t3634 () (@list @t2566 @t2337)) % 6.43/6.69 (define @t3635 () (tptp.hAPP @t3514 @t1653)) % 6.43/6.69 (define @t3636 () (tptp.hAPP @t3514 @t690)) % 6.43/6.69 (define @t3637 () (tptp.hBOOL (tptp.hAPP @t2855 @t1653))) % 6.43/6.69 (define @t3638 () (tptp.hAPP @t3514 @t2566)) % 6.43/6.69 (define @t3639 () (tptp.hAPP @t2427 @t3638)) % 6.43/6.69 (define @t3640 () (tptp.hAPP @t2454 @t3515)) % 6.43/6.69 (define @t3641 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3620))) % 6.43/6.69 (define @t3642 () (@list @t1773)) % 6.43/6.69 (define @t3643 () (tptp.c_Int_OBit1 @t1653)) % 6.43/6.69 (define @t3644 () (tptp.c_Int_OBit1 @t690)) % 6.43/6.69 (define @t3645 () (tptp.hAPP @t2429 @t3644)) % 6.43/6.69 (define @t3646 () (@var "V_k2_2" $$unsorted)) % 6.43/6.69 (define @t3647 () (@var "V_k1_2" $$unsorted)) % 6.43/6.69 (define @t3648 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3647) @t3646))) % 6.43/6.69 (define @t3649 () (tptp.c_Int_OBit1 @t3646)) % 6.43/6.69 (define @t3650 () (tptp.c_Int_OBit1 @t3647)) % 6.43/6.69 (define @t3651 () (tptp.hAPP @t2429 @t3650)) % 6.43/6.69 (define @t3652 () (@list @t3646 @t3647)) % 6.43/6.69 (define @t3653 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t3647) @t3646))) % 6.43/6.69 (define @t3654 () (tptp.hAPP @t2448 @t3650)) % 6.43/6.69 (define @t3655 () (tptp.hAPP @t2448 @t3644)) % 6.43/6.69 (define @t3656 () (= @t690 @t1653)) % 6.43/6.69 (define @t3657 () (tptp.hBOOL (tptp.hAPP @t2459 @t2450))) % 6.43/6.69 (define @t3658 () (tptp.c_Int_OBit1 @t1161)) % 6.43/6.69 (define @t3659 () (tptp.hAPP (tptp.hAPP @t3200 @t1000) @t2366)) % 6.43/6.69 (define @t3660 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t3626)) % 6.43/6.69 (define @t3661 () (tptp.hAPP @t1845 @t3560)) % 6.43/6.69 (define @t3662 () (tptp.hAPP @t3510 (tptp.c_Int_OBit1 @t2566))) % 6.43/6.69 (define @t3663 () (tptp.hAPP @t2433 @t315)) % 6.43/6.69 (define @t3664 () (tptp.hAPP @t3663 @t3617)) % 6.43/6.69 (define @t3665 () (tptp.hAPP @t3627 (tptp.hAPP @t3663 @t3626))) % 6.43/6.69 (define @t3666 () (tptp.hAPP @t2463 @t315)) % 6.43/6.69 (define @t3667 () (tptp.hAPP @t3666 @t3617)) % 6.43/6.69 (define @t3668 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3669 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3670 () (tptp.c_COMBB tptp.tc_Int_Oint @t3669 tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3671 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3672 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t3666 @t3626))) % 6.43/6.69 (define @t3673 () (= @t3503 @t2094)) % 6.43/6.69 (define @t3674 () (tptp.hAPP @t3514 @t1865)) % 6.43/6.69 (define @t3675 () (@var "V_v_H_2" $$unsorted)) % 6.43/6.69 (define @t3676 () (tptp.hAPP @t3514 @t3675)) % 6.43/6.69 (define @t3677 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3676))) % 6.43/6.69 (define @t3678 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3674))) % 6.43/6.69 (define @t3679 () (tptp.hAPP @t3502 @t3675)) % 6.43/6.69 (define @t3680 () (tptp.hAPP @t3502 @t1865)) % 6.43/6.69 (define @t3681 () (@list @t3675 @t1865)) % 6.43/6.69 (define @t3682 () (tptp.hAPP @t3502 (tptp.hAPP @t3557 @t3608))) % 6.43/6.69 (define @t3683 () (tptp.hAPP (tptp.hAPP @t1000 @t3610) @t1161)) % 6.43/6.69 (define @t3684 () (tptp.hAPP @t1000 @t3503)) % 6.43/6.69 (define @t3685 () (tptp.hAPP @t3684 @t3683)) % 6.43/6.69 (define @t3686 () (@list @t1161 @t3608 @t2337)) % 6.43/6.69 (define @t3687 () (tptp.hAPP @t2425 @t3503)) % 6.43/6.69 (define @t3688 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3503 @t3610)) % 6.43/6.69 (define @t3689 () (@list @t3608 @t2337)) % 6.43/6.69 (define @t3690 () (tptp.hAPP @t2754 @t3515)) % 6.43/6.69 (define @t3691 () (tptp.hAPP (tptp.hAPP @t2935 @t3503) @t3610)) % 6.43/6.69 (define @t3692 () (tptp.hAPP @t3631 @t1153)) % 6.43/6.69 (define @t3693 () (@list @t1153 @t2337)) % 6.43/6.69 (define @t3694 () (tptp.hAPP @t3502 (tptp.c_Int_Osucc @t2337))) % 6.43/6.69 (define @t3695 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t3684 @t1153))) % 6.43/6.69 (define @t3696 () (tptp.hAPP (tptp.hAPP @t864 @t3680) @t3679)) % 6.43/6.69 (define @t3697 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3675) tptp.c_Int_OPls))) % 6.43/6.69 (define @t3698 () (tptp.c_COMBB tptp.tc_Nat_Onat @t3199 tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3699 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t3700 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3701 () (tptp.hAPP @t3700 tptp.c_Nat_OSuc)) % 6.43/6.69 (define @t3702 () (tptp.hAPP @t3514 (tptp.c_Int_Opred @t1865))) % 6.43/6.69 (define @t3703 () (tptp.hAPP @t3483 @t3702)) % 6.43/6.69 (define @t3704 () (@list @t692 @t1865)) % 6.43/6.69 (define @t3705 () (@list @t1865 @t692)) % 6.43/6.69 (define @t3706 () (tptp.c_Int_OBit1 @t1238)) % 6.43/6.69 (define @t3707 () (@list @t1238)) % 6.43/6.69 (define @t3708 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 6.43/6.69 (define @t3709 () (tptp.hAPP @t2494 @t1161)) % 6.43/6.69 (define @t3710 () (tptp.hAPP @t2454 tptp.c_Int_OPls)) % 6.43/6.69 (define @t3711 () (tptp.hAPP @t2429 tptp.c_Int_OPls)) % 6.43/6.69 (define @t3712 () (tptp.hAPP @t2448 tptp.c_Int_OPls)) % 6.43/6.69 (define @t3713 () (tptp.hAPP @t2427 tptp.c_Int_OPls)) % 6.43/6.69 (define @t3714 () (tptp.hAPP @t3510 tptp.c_Int_OPls)) % 6.43/6.69 (define @t3715 () (tptp.hAPP @t3502 tptp.c_Int_OPls)) % 6.43/6.69 (define @t3716 () (tptp.hAPP @t3514 tptp.c_Int_OPls)) % 6.43/6.69 (define @t3717 () (tptp.hBOOL (tptp.hAPP @t3712 @t690))) % 6.43/6.69 (define @t3718 () (tptp.hBOOL (tptp.hAPP @t2559 tptp.c_Int_OPls))) % 6.43/6.69 (define @t3719 () (tptp.hAPP @t3502 (tptp.c_Int_Opred @t2337))) % 6.43/6.69 (define @t3720 () (tptp.hAPP @t3684 @t1615)) % 6.43/6.69 (define @t3721 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2337) tptp.c_Int_OPls))) % 6.43/6.69 (define @t3722 () (not @t3721)) % 6.43/6.69 (define @t3723 () (tptp.hAPP @t1618 @t3503)) % 6.43/6.69 (define @t3724 () (tptp.c_Int_Opred @t1161)) % 6.43/6.69 (define @t3725 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2337) tptp.c_Int_OPls))) % 6.43/6.69 (define @t3726 () (tptp.hAPP @t3510 @t3708)) % 6.43/6.69 (define @t3727 () (and @t2985 @t3512)) % 6.43/6.69 (define @t3728 () (tptp.hAPP @t2448 @t1865)) % 6.43/6.69 (define @t3729 () (tptp.hBOOL (tptp.hAPP @t3728 tptp.c_Int_OPls))) % 6.43/6.69 (define @t3730 () (@list @t1865)) % 6.43/6.69 (define @t3731 () (= @t3680 @t2094)) % 6.43/6.69 (define @t3732 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t1865) @t3675))) % 6.43/6.69 (define @t3733 () (tptp.hAPP @t1199 @t3680)) % 6.43/6.69 (define @t3734 () (and @t2993 @t3512)) % 6.43/6.69 (define @t3735 () (tptp.hAPP @t1184 @t3680)) % 6.43/6.69 (define @t3736 () (tptp.hAPP @t3502 @t3708)) % 6.43/6.69 (define @t3737 () (tptp.c_Int_OBit1 @t3708)) % 6.43/6.69 (define @t3738 () (tptp.hAPP @t3514 @t3737)) % 6.43/6.69 (define @t3739 () (tptp.c_Int_Osucc @t1161)) % 6.43/6.69 (define @t3740 () (@list @t64 @t8)) % 6.43/6.69 (define @t3741 () (tptp.hAPP @t3502 @t3737)) % 6.43/6.69 (define @t3742 () (tptp.hAPP @t1000 @t3741)) % 6.43/6.69 (define @t3743 () (tptp.hAPP @t3742 @t1153)) % 6.43/6.69 (define @t3744 () (tptp.hAPP tptp.c_Nat_OSuc @t1716)) % 6.43/6.69 (define @t3745 () (tptp.hAPP tptp.c_Nat_OSuc @t3744)) % 6.43/6.69 (define @t3746 () (tptp.hAPP @t3684 @t3610)) % 6.43/6.69 (define @t3747 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3608) tptp.c_Int_OPls))) % 6.43/6.69 (define @t3748 () (tptp.hAPP @t2454 @t3708)) % 6.43/6.69 (define @t3749 () (tptp.hAPP @t3502 (tptp.hAPP @t3565 @t3608))) % 6.43/6.69 (define @t3750 () (tptp.hAPP @t1721 @t3503)) % 6.43/6.69 (define @t3751 () (tptp.hAPP @t3750 (tptp.hAPP (tptp.hAPP @t1721 @t3610) @t1161))) % 6.43/6.69 (define @t3752 () (tptp.hAPP @t3750 @t3610)) % 6.43/6.69 (define @t3753 () (tptp.hAPP @t3742 @t1152)) % 6.43/6.69 (define @t3754 () (tptp.hAPP tptp.c_Nat_OSuc @t1717)) % 6.43/6.69 (define @t3755 () (tptp.hAPP tptp.c_Nat_OSuc @t3754)) % 6.43/6.69 (define @t3756 () (@list @t2337 @t1152)) % 6.43/6.69 (define @t3757 () (tptp.hAPP @t2935 @t3753)) % 6.43/6.69 (define @t3758 () (tptp.hAPP @t2935 @t3755)) % 6.43/6.69 (define @t3759 () (tptp.hAPP @t2427 @t3708)) % 6.43/6.69 (define @t3760 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1623 tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3761 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t3762 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3763 () (tptp.hAPP (tptp.hAPP @t3762 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 6.43/6.69 (define @t3764 () (tptp.hAPP @t2682 (tptp.hAPP (tptp.hAPP @t2680 tptp.c_fimplies) @t3763))) % 6.43/6.69 (define @t3765 () (tptp.hAPP @t2682 (tptp.hAPP @t2681 @t3763))) % 6.43/6.69 (define @t3766 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t3702)) % 6.43/6.69 (define @t3767 () (tptp.hBOOL (tptp.hAPP @t3766 (tptp.hAPP @t3765 (tptp.hAPP @t3764 (tptp.hAPP (tptp.hAPP @t3761 (tptp.hAPP (tptp.hAPP @t3760 tptp.c_fequal) tptp.c_Int_Onat)) @t692)))))) % 6.43/6.69 (define @t3768 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1571 tptp.tc_Int_Oint) @t1570)) % 6.43/6.69 (define @t3769 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t8 @t769) (tptp.hAPP @t3768 tptp.c_Nat__Numeral_Oneg))) % 6.43/6.69 (define @t3770 () (tptp.c_COMBS tptp.tc_Int_Oint @t8 @t8)) % 6.43/6.69 (define @t3771 () (tptp.hAPP @t3770 (tptp.hAPP @t3769 @t13))) % 6.43/6.69 (define @t3772 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t8)) % 6.43/6.69 (define @t3773 () (tptp.hAPP @t3772 @t3702)) % 6.43/6.69 (define @t3774 () (@list @t1865 @t2 @t13 @t8)) % 6.43/6.69 (define @t3775 () (tptp.hAPP tptp.c_Nat_OSuc @t3503)) % 6.43/6.69 (define @t3776 () (tptp.hAPP @t3480 (tptp.hAPP @t3479 @t1780))) % 6.43/6.69 (define @t3777 () (tptp.hAPP (tptp.hAPP @t3699 (tptp.hAPP (tptp.hAPP @t3698 @t1000) tptp.c_Int_Onat)) @t692)) % 6.43/6.69 (define @t3778 () (tptp.hAPP (tptp.hAPP @t1000 @t3680) @t692)) % 6.43/6.69 (define @t3779 () (@list @t692 @t1865 @t2 @t13 @t8)) % 6.43/6.69 (define @t3780 () (tptp.c_Nat_Onat_Onat__rec @t8 @t13 @t2)) % 6.43/6.69 (define @t3781 () (tptp.hAPP @t3110 @t3780)) % 6.43/6.69 (define @t3782 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t769 tptp.tc_Int_Oint) @t2)) % 6.43/6.69 (define @t3783 () (tptp.hAPP @t2427 @t64)) % 6.43/6.69 (define @t3784 () (tptp.hAPP @t2454 @t61)) % 6.43/6.69 (define @t3785 () (tptp.c_Nat_Onat_Onat__rec @t8 @t456 @t616)) % 6.43/6.69 (define @t3786 () (tptp.hAPP @t3640 @t2453)) % 6.43/6.69 (define @t3787 () (tptp.c_Int_OBit0 @t3708)) % 6.43/6.69 (define @t3788 () (tptp.hAPP @t3514 @t3787)) % 6.43/6.69 (define @t3789 () (tptp.hAPP @t2466 @t3788)) % 6.43/6.69 (define @t3790 () (tptp.c_Int_OBit0 @t2566)) % 6.43/6.69 (define @t3791 () (tptp.hAPP @t3514 @t3790)) % 6.43/6.69 (define @t3792 () (tptp.hAPP @t3514 (tptp.c_Int_OBit1 @t2337))) % 6.43/6.69 (define @t3793 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3792 @t3791)) % 6.43/6.69 (define @t3794 () (tptp.hBOOL (tptp.hAPP @t2452 @t3638))) % 6.43/6.69 (define @t3795 () (not @t3794)) % 6.43/6.69 (define @t3796 () (tptp.hAPP @t3789 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3515 @t3638))) % 6.43/6.69 (define @t3797 () (@list @t2337 @t2566)) % 6.43/6.69 (define @t3798 () (tptp.hAPP (tptp.hAPP @t2454 @t38) @t2453)) % 6.43/6.69 (define @t3799 () (tptp.hAPP @t3789 @t255)) % 6.43/6.69 (define @t3800 () (tptp.hAPP @t3789 @t38)) % 6.43/6.69 (define @t3801 () (tptp.hAPP @t2455 @t3800)) % 6.43/6.69 (define @t3802 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3801 @t3799)) % 6.43/6.69 (define @t3803 () (tptp.hAPP @t2454 @t13)) % 6.43/6.69 (define @t3804 () (tptp.c_Int_OBit0 @t1238)) % 6.43/6.69 (define @t3805 () (tptp.c_Int_OBit0 @t1161)) % 6.43/6.69 (define @t3806 () (tptp.hAPP @t3709 @t1238)) % 6.43/6.69 (define @t3807 () (tptp.c_Int_OBit0 @t3806)) % 6.43/6.69 (define @t3808 () (tptp.hAPP @t2494 @t3805)) % 6.43/6.69 (define @t3809 () (tptp.c_Int_OBit0 @t1653)) % 6.43/6.69 (define @t3810 () (tptp.c_Int_OBit0 @t690)) % 6.43/6.69 (define @t3811 () (tptp.c_Int_OBit0 (tptp.hAPP @t2564 @t1238))) % 6.43/6.69 (define @t3812 () (tptp.hAPP @t2595 @t1238)) % 6.43/6.69 (define @t3813 () (tptp.hAPP @t2454 @t3805)) % 6.43/6.69 (define @t3814 () (tptp.hAPP @t2448 @t3810)) % 6.43/6.69 (define @t3815 () (tptp.c_Int_OBit0 @t3646)) % 6.43/6.69 (define @t3816 () (tptp.c_Int_OBit0 @t3647)) % 6.43/6.69 (define @t3817 () (tptp.hAPP @t2448 @t3816)) % 6.43/6.69 (define @t3818 () (tptp.hAPP @t2429 @t3816)) % 6.43/6.69 (define @t3819 () (tptp.hAPP @t2429 @t3810)) % 6.43/6.69 (define @t3820 () (@list @t1653)) % 6.43/6.69 (define @t3821 () (tptp.c_Int_OBit0 @t1773)) % 6.43/6.69 (define @t3822 () (tptp.c_Int_OBit1 @t3812)) % 6.43/6.69 (define @t3823 () (tptp.hAPP @t2454 @t3658)) % 6.43/6.69 (define @t3824 () (tptp.hAPP @t2494 tptp.c_Int_OPls)) % 6.43/6.69 (define @t3825 () (tptp.hAPP @t2494 @t3658)) % 6.43/6.69 (define @t3826 () (tptp.hAPP @t3690 @t3638)) % 6.43/6.69 (define @t3827 () (tptp.hAPP @t3514 (tptp.c_Int_OBit0 @t2337))) % 6.43/6.69 (define @t3828 () (tptp.hAPP @t3502 @t3821)) % 6.43/6.69 (define @t3829 () (tptp.hAPP @t3510 @t3790)) % 6.43/6.69 (define @t3830 () (tptp.hAPP @t3502 @t3787)) % 6.43/6.69 (define @t3831 () (tptp.hAPP (tptp.hAPP @t3625 @t1725) @t145)) % 6.43/6.69 (define @t3832 () (tptp.hAPP @t3514 @t1153)) % 6.43/6.69 (define @t3833 () (tptp.hAPP @t3077 @t272)) % 6.43/6.69 (define @t3834 () (tptp.hAPP @t3510 @t3787)) % 6.43/6.69 (define @t3835 () (tptp.hAPP @t1725 @t3834)) % 6.43/6.69 (define @t3836 () (tptp.hAPP @t2434 @t3830)) % 6.43/6.69 (define @t3837 () (tptp.hAPP @t2442 @t3830)) % 6.43/6.69 (define @t3838 () (tptp.hAPP @t2519 @t3830)) % 6.43/6.69 (define @t3839 () (tptp.hAPP (tptp.hAPP @t1000 @t272) @t272)) % 6.43/6.69 (define @t3840 () (tptp.hAPP @t1721 @t3830)) % 6.43/6.69 (define @t3841 () (tptp.hAPP (tptp.hAPP @t2433 @t2520) @t3830)) % 6.43/6.69 (define @t3842 () (tptp.hAPP @t3840 @t1153)) % 6.43/6.69 (define @t3843 () (tptp.hAPP @t2519 @t3842)) % 6.43/6.69 (define @t3844 () (tptp.hAPP tptp.c_Int_Onat @t3788)) % 6.43/6.69 (define @t3845 () (and @t3022 @t3512)) % 6.43/6.69 (define @t3846 () (@list @t1449 @t8)) % 6.43/6.69 (define @t3847 () (tptp.hAPP @t2441 @t3830)) % 6.43/6.69 (define @t3848 () (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t3017 @t3830)) (tptp.hAPP (tptp.hAPP @t2433 @t64) @t3830))) % 6.43/6.69 (define @t3849 () (tptp.hAPP @t3535 @t2566)) % 6.43/6.69 (define @t3850 () (tptp.hAPP @t2442 @t1153)) % 6.43/6.69 (define @t3851 () (tptp.hAPP (tptp.hAPP @t1725 @t3850) @t3850)) % 6.43/6.69 (define @t3852 () (@list @t1153 @t132 @t8)) % 6.43/6.69 (define @t3853 () (tptp.hAPP (tptp.hAPP @t928 @t3837) @t3847)) % 6.43/6.69 (define @t3854 () (tptp.hAPP (tptp.hAPP @t1725 (tptp.hAPP @t3835 @t132)) @t210)) % 6.43/6.69 (define @t3855 () (tptp.hAPP tptp.c_Nat_OSuc @t3842)) % 6.43/6.69 (define @t3856 () (tptp.hAPP @t2519 @t3855)) % 6.43/6.69 (define @t3857 () (tptp.hAPP (tptp.hAPP @t2754 @t3792) @t3791)) % 6.43/6.69 (define @t3858 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t337 @t3830)) % 6.43/6.69 (define @t3859 () (tptp.hAPP @t2407 @t3147)) % 6.43/6.69 (define @t3860 () (tptp.hAPP (tptp.hAPP @t2754 @t3801) @t3799)) % 6.43/6.69 (define @t3861 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 6.43/6.69 (define @t3862 () (tptp.hAPP @t3861 @t3787)) % 6.43/6.69 (define @t3863 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 6.43/6.69 (define @t3864 () (tptp.hAPP @t3789 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t3863 @t1161) @t3862)))) % 6.43/6.69 (define @t3865 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t1161)) % 6.43/6.69 (define @t3866 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.43/6.69 (define @t3867 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t1161 @t3862) @t3866)) % 6.43/6.69 (define @t3868 () (= @t1161 @t3866)) % 6.43/6.69 (define @t3869 () (tptp.hAPP (tptp.hAPP @t3625 @t928) @t145)) % 6.43/6.69 (define @t3870 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t3871 () (tptp.hAPP (tptp.hAPP @t3870 tptp.c_fequal) @t2450)) % 6.43/6.69 (define @t3872 () (tptp.tc_fun @t769 @t8)) % 6.43/6.69 (define @t3873 () (tptp.tc_fun tptp.tc_Int_Oint @t8)) % 6.43/6.69 (define @t3874 () (tptp.tc_fun tptp.tc_Int_Oint @t769)) % 6.43/6.69 (define @t3875 () (tptp.hAPP @t3159 @t690)) % 6.43/6.69 (define @t3876 () (not @t2861)) % 6.43/6.69 (define @t3877 () (tptp.hAPP @t3510 tptp.c_Int_OMin)) % 6.43/6.69 (define @t3878 () (tptp.hAPP @t2433 @t3877)) % 6.43/6.69 (define @t3879 () (tptp.hAPP @t2429 tptp.c_Int_OMin)) % 6.43/6.69 (define @t3880 () (tptp.hAPP @t2448 tptp.c_Int_OMin)) % 6.43/6.69 (define @t3881 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 6.43/6.69 (define @t3882 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.43/6.69 (define @t3883 () (tptp.hBOOL (tptp.hAPP @t2855 tptp.c_Int_OMin))) % 6.43/6.69 (define @t3884 () (tptp.hBOOL (tptp.hAPP @t3879 @t690))) % 6.43/6.69 (define @t3885 () (tptp.hAPP @t3514 tptp.c_Int_OMin)) % 6.43/6.69 (define @t3886 () (tptp.hAPP @t1312 @t272)) % 6.43/6.69 (define @t3887 () (tptp.hAPP @t2494 tptp.c_Int_OMin)) % 6.43/6.69 (define @t3888 () (tptp.hAPP @t3887 @t1238)) % 6.43/6.69 (define @t3889 () (tptp.c_Int_OBit1 @t3888)) % 6.43/6.69 (define @t3890 () (tptp.hAPP @t3384 @t2453)) % 6.43/6.69 (define @t3891 () (tptp.tc_fun tptp.tc_Int_Oint @t2695)) % 6.43/6.69 (define @t3892 () (tptp.c_COMBB @t2695 @t2695 tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3893 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t3894 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t116)) % 6.43/6.69 (define @t3895 () (tptp.hAPP @t2427 @t3894)) % 6.43/6.69 (define @t3896 () (@list @t116 @t2)) % 6.43/6.69 (define @t3897 () (tptp.hAPP @t2681 (tptp.hAPP @t2448 @t116))) % 6.43/6.69 (define @t3898 () (tptp.tc_fun @t2695 @t2695)) % 6.43/6.69 (define @t3899 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3900 () (tptp.c_Set_OCollect @t3899)) % 6.43/6.69 (define @t3901 () (tptp.c_Int_Oint__ge__less__than @t116)) % 6.43/6.69 (define @t3902 () (@list @t116)) % 6.43/6.69 (define @t3903 () (tptp.c_Int_Oint__ge__less__than2 @t116)) % 6.43/6.69 (define @t3904 () (tptp.hAPP @t1451 @t77)) % 6.43/6.69 (define @t3905 () (tptp.hAPP (tptp.c_COMBB @t525 @t716 @t8) @t1565)) % 6.43/6.69 (define @t3906 () (tptp.hAPP (tptp.hAPP @t717 (tptp.hAPP @t3905 @t1536)) @t3904)) % 6.43/6.69 (define @t3907 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t47 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t3908 () (tptp.c_Set_OCollect @t1469)) % 6.43/6.69 (define @t3909 () (tptp.hAPP @t3882 @t1165)) % 6.43/6.69 (define @t3910 () (tptp.c_Code__Numeral_Onat__of__aux @t1165 @t1153)) % 6.43/6.69 (define @t3911 () (= @t1165 @t3866)) % 6.43/6.69 (define @t3912 () (tptp.hAPP @t3670 @t2454)) % 6.43/6.69 (define @t3913 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3914 () (tptp.tc_fun tptp.tc_Int_Oint @t525)) % 6.43/6.69 (define @t3915 () (tptp.c_Divides_Odivmod__int__rel @t13 @t109)) % 6.43/6.69 (define @t3916 () (tptp.tc_prod @t55 @t55)) % 6.43/6.69 (define @t3917 () (tptp.c_Wellfounded_Ofinite__psubset @t8)) % 6.43/6.69 (define @t3918 () (tptp.c_Divides_Odivmod__int @t255 @t38)) % 6.43/6.69 (define @t3919 () (tptp.c_Divides_Odivmod__int__rel @t255 @t38)) % 6.43/6.69 (define @t3920 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.43/6.69 (define @t3921 () (tptp.hAPP @t3920 @t2440)) % 6.43/6.69 (define @t3922 () (tptp.hAPP @t3921 @t2242)) % 6.43/6.69 (define @t3923 () (tptp.hBOOL (tptp.hAPP @t3919 @t3922))) % 6.43/6.69 (define @t3924 () (@list @t254 @t2242 @t2440 @t38 @t255)) % 6.43/6.69 (define @t3925 () (tptp.c_Nat_Osemiring__1__class_ONats @t8)) % 6.43/6.69 (define @t3926 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1470)) % 6.43/6.69 (define @t3927 () (tptp.c_Product__Type_OPair @t8 @t47)) % 6.43/6.69 (define @t3928 () (tptp.hAPP @t3927 @t61)) % 6.43/6.69 (define @t3929 () (tptp.hAPP @t3928 @t64)) % 6.43/6.69 (define @t3930 () (tptp.c_member @t1469)) % 6.43/6.69 (define @t3931 () (tptp.hAPP @t3930 @t3929)) % 6.43/6.69 (define @t3932 () (tptp.tc_fun @t1470 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t3933 () (tptp.tc_fun @t47 @t3932)) % 6.43/6.69 (define @t3934 () (tptp.tc_fun @t47 @t1469)) % 6.43/6.69 (define @t3935 () (tptp.hAPP (tptp.c_COMBC @t8 @t1470 @t48) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3933 (tptp.tc_fun @t1470 @t48) @t8) (tptp.c_COMBC @t47 @t1470 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3934 @t3933 @t8) (tptp.hAPP (tptp.c_COMBB @t1469 @t3932 @t47) @t3930)) @t3927)))) % 6.43/6.69 (define @t3936 () (tptp.hAPP @t3935 @t392)) % 6.43/6.69 (define @t3937 () (tptp.hAPP @t3935 @t393)) % 6.43/6.69 (define @t3938 () (tptp.tc_fun @t8 @t48)) % 6.43/6.69 (define @t3939 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3938)) % 6.43/6.69 (define @t3940 () (@list @t64 @t61 @t392 @t393 @t47 @t8)) % 6.43/6.69 (define @t3941 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1470)) % 6.43/6.69 (define @t3942 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3938)) % 6.43/6.69 (define @t3943 () (tptp.c_Orderings_Oord__class_Oless__eq @t1470)) % 6.43/6.69 (define @t3944 () (tptp.c_Orderings_Oord__class_Oless__eq @t3938)) % 6.43/6.69 (define @t3945 () (@list @t392 @t393 @t47 @t8)) % 6.43/6.69 (define @t3946 () (tptp.c_Orderings_Obot__class_Obot @t1470)) % 6.43/6.69 (define @t3947 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t3938) @t61) @t64))) % 6.43/6.69 (define @t3948 () (@list @t64 @t61 @t47 @t8)) % 6.43/6.69 (define @t3949 () (tptp.tc_fun @t47 @t2727)) % 6.43/6.69 (define @t3950 () (tptp.hBOOL (tptp.hAPP @t3919 (tptp.hAPP (tptp.hAPP @t3920 @t2654) @t2660)))) % 6.43/6.69 (define @t3951 () (@list @t2660 @t2654 @t2242 @t2440 @t38 @t255)) % 6.43/6.69 (define @t3952 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t255 @t255) @t3922))) % 6.43/6.69 (define @t3953 () (@list @t2242 @t2440 @t255)) % 6.43/6.69 (define @t3954 () (tptp.hAPP @t3920 @t2450)) % 6.43/6.69 (define @t3955 () (tptp.hAPP @t3954 @t2450)) % 6.43/6.69 (define @t3956 () (tptp.tc_prod @t47 @t106)) % 6.43/6.69 (define @t3957 () (tptp.tc_fun @t3956 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t3958 () (tptp.c_Product__Type_OPair @t47 @t106)) % 6.43/6.69 (define @t3959 () (tptp.c_member @t3956)) % 6.43/6.69 (define @t3960 () (tptp.hAPP @t3959 (tptp.hAPP (tptp.hAPP @t3958 @t61) @t64))) % 6.43/6.69 (define @t3961 () (tptp.tc_fun @t3957 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t3962 () (tptp.tc_fun @t106 @t3961)) % 6.43/6.69 (define @t3963 () (tptp.tc_fun @t106 @t3956)) % 6.43/6.69 (define @t3964 () (tptp.hAPP (tptp.c_COMBC @t47 @t3957 @t778) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3962 (tptp.tc_fun @t3957 @t778) @t47) (tptp.c_COMBC @t106 @t3957 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3963 @t3962 @t47) (tptp.hAPP (tptp.c_COMBB @t3956 @t3961 @t106) @t3959)) @t3958)))) % 6.43/6.69 (define @t3965 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3957 @t923 @t8) @t3964) @t1449)) % 6.43/6.69 (define @t3966 () (@list @t64 @t61 @t1449 @t106 @t47 @t8)) % 6.43/6.69 (define @t3967 () (@list @t2242 @t2440 @t38 @t255)) % 6.43/6.69 (define @t3968 () (tptp.hBOOL (tptp.hAPP @t188 @t3925))) % 6.43/6.69 (define @t3969 () (tptp.hBOOL (tptp.hAPP @t175 @t3925))) % 6.43/6.69 (define @t3970 () (@var "V_br" $$unsorted)) % 6.43/6.69 (define @t3971 () (@var "V_ar" $$unsorted)) % 6.43/6.69 (define @t3972 () (tptp.hAPP (tptp.hAPP @t2454 @t3971) @t3970)) % 6.43/6.69 (define @t3973 () (@var "V_bq" $$unsorted)) % 6.43/6.69 (define @t3974 () (@var "V_aq" $$unsorted)) % 6.43/6.69 (define @t3975 () (not (= @t254 @t2450))) % 6.43/6.69 (define @t3976 () (tptp.c_Divides_Odivmod__int__rel @t38 @t254)) % 6.43/6.69 (define @t3977 () (@list @t3970 @t3973 @t38 @t3971 @t3974 @t254 @t255)) % 6.43/6.69 (define @t3978 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t1449) @t2450))) % 6.43/6.69 (define @t3979 () (tptp.hAPP @t2427 @t2967)) % 6.43/6.69 (define @t3980 () (tptp.hAPP @t2427 @t13)) % 6.43/6.69 (define @t3981 () (tptp.hAPP (tptp.hAPP @t3920 @t2967) @t1449)) % 6.43/6.69 (define @t3982 () (not @t2776)) % 6.43/6.69 (define @t3983 () (tptp.hAPP @t2647 @t2242)) % 6.43/6.69 (define @t3984 () (@list @t255 @t2242 @t2440 @t254 @t38)) % 6.43/6.69 (define @t3985 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t47 @t106)) % 6.43/6.69 (define @t3986 () (tptp.hAPP @t3985 @t2)) % 6.43/6.69 (define @t3987 () (tptp.hAPP @t80 @t109)) % 6.43/6.69 (define @t3988 () (tptp.c_member @t106)) % 6.43/6.69 (define @t3989 () (tptp.hAPP @t3927 @t13)) % 6.43/6.69 (define @t3990 () (tptp.hAPP @t3989 @t109)) % 6.43/6.69 (define @t3991 () (tptp.hAPP @t3930 @t3990)) % 6.43/6.69 (define @t3992 () (tptp.tc_fun tptp.tc_Int_Oint @t3899)) % 6.43/6.69 (define @t3993 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t3992 tptp.tc_Int_Oint) @t3920)) % 6.43/6.69 (define @t3994 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t3899)) % 6.43/6.69 (define @t3995 () (tptp.c_Nitpick_Onorm__frac @t13 @t109)) % 6.43/6.69 (define @t3996 () (or (= @t13 @t2450) (= @t109 @t2450))) % 6.43/6.69 (define @t3997 () (tptp.hAPP @t3954 @t2453)) % 6.43/6.69 (define @t3998 () (and (=> @t2783 (= @t3995 (tptp.c_Nitpick_Onorm__frac @t3980 (tptp.hAPP @t2427 @t109)))) (=> (not @t2783) (and (=> @t3996 (= @t3995 @t3997)) (=> (not @t3996) (= @t3995 (tptp.hAPP (tptp.hAPP @t3994 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t13) @t109)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t3899) (tptp.hAPP @t3993 @t2779)) (tptp.hAPP @t2754 @t109))))))))) % 6.43/6.69 (define @t3999 () (tptp.hAPP (tptp.hAPP @t2963 @t2494) @t109)) % 6.43/6.69 (define @t4000 () (tptp.hAPP (tptp.c_COMBB @t3992 (tptp.tc_fun @t3669 @t3992) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t3899 tptp.tc_Int_Oint))) % 6.43/6.69 (define @t4001 () (tptp.c_COMBC tptp.tc_Int_Oint @t3669 @t3992)) % 6.43/6.69 (define @t4002 () (tptp.c_If @t3899)) % 6.43/6.69 (define @t4003 () (tptp.tc_fun @t3899 @t3899)) % 6.43/6.69 (define @t4004 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t3899 @t4003) tptp.tc_Int_Oint) @t4002)) % 6.43/6.69 (define @t4005 () (tptp.c_COMBS tptp.tc_Int_Oint @t3899 @t4003)) % 6.43/6.69 (define @t4006 () (tptp.tc_fun tptp.tc_Int_Oint @t4003)) % 6.43/6.69 (define @t4007 () (tptp.hAPP (tptp.c_COMBB @t4006 (tptp.tc_fun @t3992 @t3992) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t3899 @t3899))) % 6.43/6.69 (define @t4008 () (tptp.c_COMBS tptp.tc_Int_Oint @t3992 @t3992)) % 6.43/6.69 (define @t4009 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t3899)) % 6.43/6.69 (define @t4010 () (tptp.c_Divides_Oadjust @t109)) % 6.43/6.69 (define @t4011 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3942 @t51) @t77) @t61) @t64))) % 6.43/6.69 (define @t4012 () (tptp.hBOOL (tptp.hAPP @t92 @t64))) % 6.43/6.69 (define @t4013 () (tptp.hBOOL (tptp.hAPP @t371 @t64))) % 6.43/6.69 (define @t4014 () (not @t4013)) % 6.43/6.69 (define @t4015 () (@list @t64 @t61 @t77 @t51 @t47 @t8)) % 6.43/6.69 (define @t4016 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3939 @t51) @t77) @t61) @t64))) % 6.43/6.69 (define @t4017 () (tptp.hAPP (tptp.hAPP @t3958 @t13) @t109)) % 6.43/6.69 (define @t4018 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t47 @t106 @t55) @t18)) % 6.43/6.69 (define @t4019 () (tptp.hAPP (tptp.hAPP @t18 @t13) @t109)) % 6.43/6.69 (define @t4020 () (tptp.hAPP (tptp.hAPP @t456 @t13) @t109)) % 6.43/6.69 (define @t4021 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3907 @t2) @t3990))) % 6.43/6.69 (define @t4022 () (tptp.hBOOL @t3987)) % 6.43/6.69 (define @t4023 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t47 @t778)) % 6.43/6.69 (define @t4024 () (tptp.hBOOL (tptp.hAPP @t422 @t64))) % 6.43/6.69 (define @t4025 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3944 @t136) @t135))) % 6.43/6.69 (define @t4026 () (tptp.hBOOL (tptp.hAPP @t425 @t64))) % 6.43/6.69 (define @t4027 () (tptp.tc_prod @t8 @t8)) % 6.43/6.69 (define @t4028 () (tptp.tc_fun @t4027 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4029 () (tptp.c_Orderings_Oord__class_Oless__eq @t4028)) % 6.43/6.69 (define @t4030 () (tptp.c_Orderings_Obot__class_Obot @t4028)) % 6.43/6.69 (define @t4031 () (tptp.hAPP (tptp.hAPP @t3927 @t255) @t38)) % 6.43/6.69 (define @t4032 () (@var "V_b_H_2" $$unsorted)) % 6.43/6.69 (define @t4033 () (tptp.hAPP (tptp.hAPP @t3927 @t151) @t4032)) % 6.43/6.69 (define @t4034 () (tptp.hAPP (tptp.hAPP @t3927 @t476) @t2356)) % 6.43/6.69 (define @t4035 () (@list @t476 @t2356)) % 6.43/6.69 (define @t4036 () (tptp.hAPP @t3985 @t18)) % 6.43/6.69 (define @t4037 () (tptp.c_Product__Type_OPair @t55 @t55)) % 6.43/6.69 (define @t4038 () (tptp.c_member @t3916)) % 6.43/6.69 (define @t4039 () (tptp.hAPP @t4038 (tptp.hAPP (tptp.hAPP @t4037 @t51) @t77))) % 6.43/6.69 (define @t4040 () (tptp.c_Product__Type_Oprod_Oprod__case @t47 @t106 @t8)) % 6.43/6.69 (define @t4041 () (tptp.hAPP @t4040 @t2)) % 6.43/6.69 (define @t4042 () (@var "T_e" $$unsorted)) % 6.43/6.69 (define @t4043 () (@var "T_d" $$unsorted)) % 6.43/6.69 (define @t4044 () (@list @t109 @t13 @t456 @t8 @t106 @t47)) % 6.43/6.69 (define @t4045 () (tptp.hAPP @t3907 (tptp.hAPP (tptp.hAPP @t717 (tptp.hAPP @t3905 (tptp.hAPP @t1433 @t523))) @t401))) % 6.43/6.69 (define @t4046 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3934 @t48 @t8) (tptp.hAPP (tptp.c_COMBB @t1469 tptp.tc_HOL_Obool @t47) @t136)) @t3927)) % 6.43/6.69 (define @t4047 () (tptp.hAPP @t3907 @t4046)) % 6.43/6.69 (define @t4048 () (@list @t136 @t47 @t8)) % 6.43/6.69 (define @t4049 () (tptp.hAPP @t3789 @t2967)) % 6.43/6.69 (define @t4050 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t1153 @t1152)) % 6.43/6.69 (define @t4051 () (tptp.hAPP (tptp.hAPP @t3863 @t1153) @t1152)) % 6.43/6.69 (define @t4052 () (tptp.hAPP @t3789 @t3638)) % 6.43/6.69 (define @t4053 () (tptp.c_Divides_Oadjust @t3638)) % 6.43/6.69 (define @t4054 () (tptp.c_Divides_OnegDivAlg @t2453 @t3638)) % 6.43/6.69 (define @t4055 () (tptp.hAPP @t2455 @t3638)) % 6.43/6.69 (define @t4056 () (tptp.hBOOL (tptp.hAPP @t2452 @t4055))) % 6.43/6.69 (define @t4057 () (tptp.hAPP @t3920 @t3885)) % 6.43/6.69 (define @t4058 () (tptp.hBOOL (tptp.hAPP @t2486 @t3638))) % 6.43/6.69 (define @t4059 () (tptp.c_Divides_OnegDivAlg @t255 @t38)) % 6.43/6.69 (define @t4060 () (tptp.hAPP (tptp.hAPP @t3920 @t2925) @t3370)) % 6.43/6.69 (define @t4061 () (tptp.c_Divides_Oadjust @t38)) % 6.43/6.69 (define @t4062 () (= @t4059 (tptp.hAPP @t4061 (tptp.c_Divides_OnegDivAlg @t255 @t3800)))) % 6.43/6.69 (define @t4063 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t38) @t2450))) % 6.43/6.69 (define @t4064 () (tptp.hBOOL (tptp.hAPP @t2452 @t3377))) % 6.43/6.69 (define @t4065 () (or @t4064 @t4063)) % 6.43/6.69 (define @t4066 () (= @t4059 (tptp.hAPP @t4057 @t3377))) % 6.43/6.69 (define @t4067 () (tptp.hAPP @t3789 @t3515)) % 6.43/6.69 (define @t4068 () (tptp.c_Divides_Oadjust @t3515)) % 6.43/6.69 (define @t4069 () (tptp.c_Divides_OnegDivAlg @t3638 @t3515)) % 6.43/6.69 (define @t4070 () (tptp.hAPP (tptp.hAPP @t2454 @t3638) @t3515)) % 6.43/6.69 (define @t4071 () (tptp.hBOOL (tptp.hAPP @t2452 @t4070))) % 6.43/6.69 (define @t4072 () (tptp.hBOOL (tptp.hAPP @t2486 @t3515))) % 6.43/6.69 (define @t4073 () (tptp.c_Product__Type_OPair @t8 @t8)) % 6.43/6.69 (define @t4074 () (tptp.hAPP @t4073 @t3)) % 6.43/6.69 (define @t4075 () (tptp.hAPP @t4074 @t3)) % 6.43/6.69 (define @t4076 () (tptp.c_member @t4027)) % 6.43/6.69 (define @t4077 () (tptp.hAPP @t4076 @t4075)) % 6.43/6.69 (define @t4078 () (tptp.hBOOL (tptp.hAPP @t4077 @t1449))) % 6.43/6.69 (define @t4079 () (tptp.c_Divides_OposDivAlg @t2453 @t3638)) % 6.43/6.69 (define @t4080 () (tptp.hBOOL (tptp.hAPP @t2862 @t3638))) % 6.43/6.69 (define @t4081 () (tptp.c_Divides_OposDivAlg @t255 @t38)) % 6.43/6.69 (define @t4082 () (= @t4081 (tptp.hAPP @t4061 (tptp.c_Divides_OposDivAlg @t255 @t3800)))) % 6.43/6.69 (define @t4083 () (or @t2850 @t4063)) % 6.43/6.69 (define @t4084 () (= @t4081 (tptp.hAPP @t3954 @t255))) % 6.43/6.69 (define @t4085 () (tptp.c_Divides_OposDivAlg @t3638 @t3515)) % 6.43/6.69 (define @t4086 () (tptp.hAPP @t2429 @t3638)) % 6.43/6.69 (define @t4087 () (tptp.hBOOL (tptp.hAPP @t4086 @t3515))) % 6.43/6.69 (define @t4088 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t2760 @t2763))) % 6.43/6.69 (define @t4089 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t2760 @t2763))) % 6.43/6.69 (define @t4090 () (tptp.hBOOL (tptp.hAPP @t2452 @t38))) % 6.43/6.69 (define @t4091 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t4092 () (tptp.c_Divides_Odivmod__nat @t1152 @t1153)) % 6.43/6.69 (define @t4093 () (tptp.c_Divides_Opdivmod @t690 @t1653)) % 6.43/6.69 (define @t4094 () (tptp.hAPP (tptp.hAPP @t4009 (tptp.hAPP (tptp.hAPP @t4008 (tptp.hAPP @t4007 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3899 @t4006 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3899 @t4003) (tptp.hAPP @t4004 @t3871))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t3899) (tptp.hAPP @t3993 @t2427)) @t2450)))) (tptp.hAPP (tptp.hAPP @t4001 (tptp.hAPP @t4000 (tptp.hAPP @t3993 (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t3670 @t2494) @t2427)) @t2453)))) (tptp.hAPP @t2494 (tptp.hAPP @t3435 @t1653))))) @t4093)) % 6.43/6.69 (define @t4095 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1653)) % 6.43/6.69 (define @t4096 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t2466 @t4095))) % 6.43/6.69 (define @t4097 () (tptp.c_Divides_Odivmod__int @t690 @t1653)) % 6.43/6.69 (define @t4098 () (= @t1653 @t2450)) % 6.43/6.69 (define @t4099 () (not @t4098)) % 6.43/6.69 (define @t4100 () (=> @t4098 (= @t4097 (tptp.hAPP @t3954 @t690)))) % 6.43/6.69 (define @t4101 () (=> @t2861 (= @t4097 @t3955))) % 6.43/6.69 (define @t4102 () (tptp.c_Product__Type_OPair @t8 @t106)) % 6.43/6.69 (define @t4103 () (tptp.hAPP (tptp.hAPP @t4102 @t61) @t64)) % 6.43/6.69 (define @t4104 () (tptp.c_Product__Type_Oapsnd @t106 @t47 @t8 @t2)) % 6.43/6.69 (define @t4105 () (tptp.hAPP @t4091 @t2094)) % 6.43/6.69 (define @t4106 () (tptp.hAPP @t4105 @t1152)) % 6.43/6.69 (define @t4107 () (tptp.hAPP (tptp.hAPP @t4091 @t2938) @t3407)) % 6.43/6.69 (define @t4108 () (@var "V_qr" $$unsorted)) % 6.43/6.69 (define @t4109 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t4110 () (tptp.tc_fun tptp.tc_Nat_Onat @t4109)) % 6.43/6.69 (define @t4111 () (tptp.c_Divides_Odivmod__nat @t337 @t692)) % 6.43/6.69 (define @t4112 () (or @t2145 @t1205)) % 6.43/6.69 (define @t4113 () (tptp.hAPP @t3435 @t1238)) % 6.43/6.69 (define @t4114 () (tptp.hAPP @t3435 @t1161)) % 6.43/6.69 (define @t4115 () (tptp.c_Divides_Opdivmod @t1161 @t1238)) % 6.43/6.69 (define @t4116 () (= @t1238 @t2450)) % 6.43/6.69 (define @t4117 () (tptp.hAPP (tptp.hAPP @t4091 @t2440) @t2242)) % 6.43/6.69 (define @t4118 () (tptp.hAPP @t3422 @t2242)) % 6.43/6.69 (define @t4119 () (tptp.c_Divides_Odivmod__nat__rel @t38 @t254)) % 6.43/6.69 (define @t4120 () (tptp.hAPP @t3789 @t109)) % 6.43/6.69 (define @t4121 () (tptp.c_Divides_OnegDivAlg @t13 @t109)) % 6.43/6.69 (define @t4122 () (tptp.hBOOL (tptp.hAPP @t2852 @t2450))) % 6.43/6.69 (define @t4123 () (tptp.hAPP @t3803 @t109)) % 6.43/6.69 (define @t4124 () (or (tptp.hBOOL (tptp.hAPP @t2452 @t4123)) @t4122)) % 6.43/6.69 (define @t4125 () (tptp.hAPP (tptp.hAPP @t3920 @t13) @t109)) % 6.43/6.69 (define @t4126 () (tptp.c_Wellfounded_Oaccp @t3899 tptp.c_Divides_OnegDivAlg__rel)) % 6.43/6.69 (define @t4127 () (tptp.c_Wellfounded_Oaccp @t8 @t1449)) % 6.43/6.69 (define @t4128 () (tptp.hAPP @t1449 @t3)) % 6.43/6.69 (define @t4129 () (tptp.hBOOL (tptp.hAPP @t4127 @t13))) % 6.43/6.69 (define @t4130 () (@list @t13 @t1449 @t8)) % 6.43/6.69 (define @t4131 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1449 @t13) @t109))) % 6.43/6.69 (define @t4132 () (@var "V_qr_H" $$unsorted)) % 6.43/6.69 (define @t4133 () (tptp.c_Divides_Odivmod__nat__rel @t1152 @t1153)) % 6.43/6.69 (define @t4134 () (tptp.hBOOL (tptp.hAPP @t4133 @t4108))) % 6.43/6.69 (define @t4135 () (tptp.c_Divides_Odivmod__nat__rel @t337 @t692)) % 6.43/6.69 (define @t4136 () (@var "V_R1_2" $$unsorted)) % 6.43/6.69 (define @t4137 () (@var "V_R2_2" $$unsorted)) % 6.43/6.69 (define @t4138 () (tptp.c_Orderings_Oord__class_Oless__eq @t1676)) % 6.43/6.69 (define @t4139 () (@list @t4137 @t4136 @t8)) % 6.43/6.69 (define @t4140 () (tptp.hBOOL (tptp.hAPP @t4133 @t4117))) % 6.43/6.69 (define @t4141 () (@list @t2242 @t2440 @t1153 @t1152)) % 6.43/6.69 (define @t4142 () (tptp.hAPP (tptp.hAPP @t1000 @t3971) @t3970)) % 6.43/6.69 (define @t4143 () (tptp.c_Divides_OposDivAlg @t13 @t109)) % 6.43/6.69 (define @t4144 () (or (tptp.hBOOL (tptp.hAPP @t2785 @t109)) @t4122)) % 6.43/6.69 (define @t4145 () (tptp.c_Wellfounded_Oaccp @t3899 tptp.c_Divides_OposDivAlg__rel)) % 6.43/6.69 (define @t4146 () (tptp.c_Wellfounded_Oaccp @t3899 tptp.c_Nitpick_Onorm__frac__rel)) % 6.43/6.69 (define @t4147 () (@var "V_a0_2" $$unsorted)) % 6.43/6.69 (define @t4148 () (tptp.hAPP (tptp.hAPP @t136 @t4147) @t352)) % 6.43/6.69 (define @t4149 () (tptp.hBOOL @t4148)) % 6.43/6.69 (define @t4150 () (tptp.hAPP @t136 @t476)) % 6.43/6.69 (define @t4151 () (tptp.hBOOL (tptp.hAPP @t4150 @t2356))) % 6.43/6.69 (define @t4152 () (tptp.hBOOL (tptp.hAPP @t4150 (tptp.hAPP @t3789 @t2356)))) % 6.43/6.69 (define @t4153 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2356) @t2450))) % 6.43/6.69 (define @t4154 () (tptp.hAPP (tptp.hAPP @t3920 @t476) @t2356)) % 6.43/6.69 (define @t4155 () (tptp.hAPP (tptp.hAPP @t3920 @t4147) @t352)) % 6.43/6.69 (define @t4156 () (@list @t136 @t352 @t4147)) % 6.43/6.69 (define @t4157 () (tptp.hAPP (tptp.hAPP @t3920 @t116) @t1034)) % 6.43/6.69 (define @t4158 () (tptp.tc_fun tptp.tc_Int_Oint @t2727)) % 6.43/6.69 (define @t4159 () (tptp.c_Product__Type_OPair @t4158 @t3899)) % 6.43/6.69 (define @t4160 () (tptp.c_Wellfounded_Oaccp (tptp.tc_prod @t4158 @t3899) tptp.c_Smallcheck_Osmall_H__rel)) % 6.43/6.69 (define @t4161 () (tptp.c_Nitpick_Onat__gcd @t61 @t64)) % 6.43/6.69 (define @t4162 () (= @t64 @t2094)) % 6.43/6.69 (define @t4163 () (tptp.hAPP (tptp.hAPP @t4091 @t61) @t64)) % 6.43/6.69 (define @t4164 () (tptp.c_Wellfounded_Oaccp @t4109 tptp.c_Nitpick_Onat__gcd__rel)) % 6.43/6.69 (define @t4165 () (tptp.hAPP (tptp.hAPP @t136 @t1715) @t2299)) % 6.43/6.69 (define @t4166 () (tptp.hAPP (tptp.hAPP @t2454 @t2734) @t2453)) % 6.43/6.69 (define @t4167 () (tptp.hAPP @t1715 @t2734)) % 6.43/6.69 (define @t4168 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2299) @t2734)))) % 6.43/6.69 (define @t4169 () (tptp.hAPP (tptp.hAPP @t3920 @t2299) @t2734)) % 6.43/6.69 (define @t4170 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t3430 @t3639))) % 6.43/6.69 (define @t4171 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.43/6.69 (define @t4172 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2453 @t3638)) % 6.43/6.69 (define @t4173 () (tptp.hBOOL (tptp.hAPP @t4086 @t2450))) % 6.43/6.69 (define @t4174 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t67) @t927))) % 6.43/6.69 (define @t4175 () (tptp.c_Wellfounded_Omeasure @t8)) % 6.43/6.69 (define @t4176 () (tptp.hAPP @t4175 @t2)) % 6.43/6.69 (define @t4177 () (tptp.hAPP @t4073 @t61)) % 6.43/6.69 (define @t4178 () (tptp.hAPP @t4076 (tptp.hAPP @t4177 @t64))) % 6.43/6.69 (define @t4179 () (tptp.c_Product__Type_OPair @t47 @t8)) % 6.43/6.69 (define @t4180 () (tptp.c_Product__Type_Osnd @t47 @t8)) % 6.43/6.69 (define @t4181 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t8 @t106) @t61)) % 6.43/6.69 (define @t4182 () (tptp.hAPP @t4104 @t61)) % 6.43/6.69 (define @t4183 () (tptp.c_Product__Type_Osnd @t47 @t106)) % 6.43/6.69 (define @t4184 () (tptp.hAPP @t4183 @t61)) % 6.43/6.69 (define @t4185 () (@list @t61 @t2 @t106 @t8 @t47)) % 6.43/6.69 (define @t4186 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.43/6.69 (define @t4187 () (tptp.hAPP @t3615 @t3638)) % 6.43/6.69 (define @t4188 () (tptp.tc_fun @t1623 @t1623)) % 6.43/6.69 (define @t4189 () (tptp.tc_fun tptp.tc_Nat_Onat @t4188)) % 6.43/6.69 (define @t4190 () (tptp.tc_fun tptp.tc_Nat_Onat @t1623)) % 6.43/6.69 (define @t4191 () (tptp.hAPP tptp.c_Int_ORep__Integ @t315)) % 6.43/6.69 (define @t4192 () (tptp.c_Product__Type_Osnd @t8 @t47)) % 6.43/6.69 (define @t4193 () (tptp.hAPP @t4192 @t2470)) % 6.43/6.69 (define @t4194 () (tptp.c_Product__Type_Ofst @t8 @t47)) % 6.43/6.69 (define @t4195 () (tptp.hAPP @t4194 @t2470)) % 6.43/6.69 (define @t4196 () (tptp.hAPP tptp.c_Int_ORep__Integ @t61)) % 6.43/6.69 (define @t4197 () (tptp.hAPP @t4194 @t2866)) % 6.43/6.69 (define @t4198 () (@list @t61 @t2 @t106 @t47 @t8)) % 6.43/6.69 (define @t4199 () (tptp.hAPP (tptp.hAPP @t3927 @t132) @t210)) % 6.43/6.69 (define @t4200 () (tptp.hAPP @t4183 @t2866)) % 6.43/6.69 (define @t4201 () (tptp.c_Product__Type_Ofst @t47 @t106)) % 6.43/6.69 (define @t4202 () (tptp.hAPP @t4201 @t2866)) % 6.43/6.69 (define @t4203 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t4204 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t1469 @t47 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t48 @t1469) @t136) @t4194)) @t4192)) % 6.43/6.69 (define @t4205 () (tptp.hAPP @t3907 @t136)) % 6.43/6.69 (define @t4206 () (tptp.hAPP @t4192 @t2866)) % 6.43/6.69 (define @t4207 () (tptp.hAPP @t4179 @t61)) % 6.43/6.69 (define @t4208 () (tptp.hAPP @t4207 @t64)) % 6.43/6.69 (define @t4209 () (tptp.c_Product__Type_Ofst @t47 @t8)) % 6.43/6.69 (define @t4210 () (tptp.hAPP @t136 @t64)) % 6.43/6.69 (define @t4211 () (tptp.hAPP (tptp.hAPP @t3927 @t2866) @t2967)) % 6.43/6.69 (define @t4212 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t4213 () (@var "V_qr_2" $$unsorted)) % 6.43/6.69 (define @t4214 () (tptp.hAPP @t4203 @t4213)) % 6.43/6.69 (define @t4215 () (tptp.hAPP @t4212 @t4213)) % 6.43/6.69 (define @t4216 () (tptp.hAPP (tptp.hAPP @t4091 @t3) @t42)) % 6.43/6.69 (define @t4217 () (tptp.c_Wellfounded_Omlex__prod @t8 @t2 @t393)) % 6.43/6.69 (define @t4218 () (tptp.hBOOL (tptp.hAPP @t4178 @t4217))) % 6.43/6.69 (define @t4219 () (tptp.hBOOL (tptp.hAPP @t4178 @t393))) % 6.43/6.69 (define @t4220 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t67) @t927))) % 6.43/6.69 (define @t4221 () (@list @t393 @t8 @t64 @t61 @t2)) % 6.43/6.69 (define @t4222 () (@var "V_code__numeral" $$unsorted)) % 6.43/6.69 (define @t4223 () (tptp.c_Code__Numeral_OSuc__code__numeral @t4222)) % 6.43/6.69 (define @t4224 () (@list @t4222)) % 6.43/6.69 (define @t4225 () (@var "V_code__numeral_H_2" $$unsorted)) % 6.43/6.69 (define @t4226 () (@var "V_code__numeral_2" $$unsorted)) % 6.43/6.69 (define @t4227 () (tptp.c_Code__Numeral_OSuc__code__numeral @t4226)) % 6.43/6.69 (define @t4228 () (@var "V_code__numeral_H" $$unsorted)) % 6.43/6.69 (define @t4229 () (@var "V_code__numeral_H_1" $$unsorted)) % 6.43/6.69 (define @t4230 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 6.43/6.69 (define @t4231 () (@var "V_ps_2" $$unsorted)) % 6.43/6.69 (define @t4232 () (tptp.tc_fun @t8 @t693)) % 6.43/6.69 (define @t4233 () (tptp.tc_fun @t693 @t4232)) % 6.43/6.69 (define @t4234 () (tptp.tc_fun @t4232 @t4232)) % 6.43/6.69 (define @t4235 () (tptp.tc_fun @t693 @t4234)) % 6.43/6.69 (define @t4236 () (tptp.tc_fun @t47 @t4234)) % 6.43/6.69 (define @t4237 () (tptp.tc_fun @t47 @t693)) % 6.43/6.69 (define @t4238 () (tptp.hAPP @t2254 @t4231)) % 6.43/6.69 (define @t4239 () (tptp.c_Product__Type_OPair @t47 @t47)) % 6.43/6.69 (define @t4240 () (tptp.tc_prod @t47 @t47)) % 6.43/6.69 (define @t4241 () (tptp.c_member @t4240)) % 6.43/6.69 (define @t4242 () (tptp.hAPP @t4073 @t13)) % 6.43/6.69 (define @t4243 () (tptp.c_Product__Type_OPair @t1469 @t1469)) % 6.43/6.69 (define @t4244 () (tptp.c_member (tptp.tc_prod @t1469 @t1469))) % 6.43/6.69 (define @t4245 () (tptp.c_Product__Type_Osnd @t106 @t4043)) % 6.43/6.69 (define @t4246 () (tptp.hAPP @t1 (tptp.hAPP @t4245 @t61))) % 6.43/6.69 (define @t4247 () (tptp.c_Product__Type_Ofst @t106 @t4043)) % 6.43/6.69 (define @t4248 () (tptp.hAPP @t2 (tptp.hAPP @t4247 @t61))) % 6.43/6.69 (define @t4249 () (tptp.c_Product__Type_Oapfst @t106 @t8 @t47 @t2)) % 6.43/6.69 (define @t4250 () (@list @t61 @t1 @t4043 @t2 @t47 @t8 @t106)) % 6.43/6.69 (define @t4251 () (tptp.c_Product__Type_Osnd @t4043 @t106)) % 6.43/6.69 (define @t4252 () (tptp.c_Product__Type_Oapfst @t4043 @t8 @t106 @t1)) % 6.43/6.69 (define @t4253 () (@list @t61 @t1 @t4043 @t2 @t8 @t47 @t106)) % 6.43/6.69 (define @t4254 () (tptp.c_Product__Type_OPair @t106 @t47)) % 6.43/6.69 (define @t4255 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t106 @t47) @t61)) % 6.43/6.69 (define @t4256 () (tptp.hAPP @t2 @t4255)) % 6.43/6.69 (define @t4257 () (tptp.hAPP @t4249 @t61)) % 6.43/6.69 (define @t4258 () (tptp.c_Recdef_Osame__fst @t8 @t47 @t136 @t393)) % 6.43/6.69 (define @t4259 () (@var "V_y_H_2" $$unsorted)) % 6.43/6.69 (define @t4260 () (tptp.hAPP @t393 @t61)) % 6.43/6.69 (define @t4261 () (tptp.c_Product__Type_OPair @t4109 @t4109)) % 6.43/6.69 (define @t4262 () (tptp.tc_prod @t4109 @t4109)) % 6.43/6.69 (define @t4263 () (tptp.c_member @t4262)) % 6.43/6.69 (define @t4264 () (tptp.hAPP @t4263 (tptp.hAPP (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP @t4091 @t13) @t1660)) (tptp.hAPP (tptp.hAPP @t4091 @t109) @t32)))) % 6.43/6.69 (define @t4265 () (tptp.hBOOL (tptp.hAPP @t4264 tptp.c_FunDef_Opair__less))) % 6.43/6.69 (define @t4266 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t13) @t109))) % 6.43/6.69 (define @t4267 () (@list @t32 @t1660 @t109 @t13)) % 6.43/6.69 (define @t4268 () (tptp.c_Wellfounded_Omax__ext @t8 @t393)) % 6.43/6.69 (define @t4269 () (tptp.tc_fun @t4028 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4270 () (tptp.hAPP (tptp.c_COMBB @t4027 @t4269 @t8) @t4076)) % 6.43/6.69 (define @t4271 () (tptp.tc_fun @t8 @t4269)) % 6.43/6.69 (define @t4272 () (tptp.tc_fun @t8 @t4027)) % 6.43/6.69 (define @t4273 () (tptp.c_COMBC @t8 @t4028 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4274 () (tptp.hAPP (tptp.c_COMBC @t8 @t4028 @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4271 (tptp.tc_fun @t4028 @t55) @t8) @t4273) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4272 @t4271 @t8) @t4270) @t4073)))) % 6.43/6.69 (define @t4275 () (tptp.hBOOL (tptp.hAPP @t4264 tptp.c_FunDef_Opair__leq))) % 6.43/6.69 (define @t4276 () (@var "V_YS_2" $$unsorted)) % 6.43/6.69 (define @t4277 () (tptp.c_Set_Oinsert @t4109)) % 6.43/6.69 (define @t4278 () (tptp.hAPP @t4277 @t64)) % 6.43/6.69 (define @t4279 () (@var "V_XS_2" $$unsorted)) % 6.43/6.69 (define @t4280 () (tptp.tc_fun @t4109 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4281 () (tptp.c_Product__Type_OPair @t4280 @t4280)) % 6.43/6.69 (define @t4282 () (tptp.hAPP @t4281 @t4279)) % 6.43/6.69 (define @t4283 () (tptp.tc_prod @t4280 @t4280)) % 6.43/6.69 (define @t4284 () (tptp.c_member @t4283)) % 6.43/6.69 (define @t4285 () (tptp.hAPP @t4284 (tptp.hAPP @t4282 (tptp.hAPP @t4278 @t4276)))) % 6.43/6.69 (define @t4286 () (tptp.hAPP @t4284 (tptp.hAPP @t4282 @t4276))) % 6.43/6.69 (define @t4287 () (tptp.hAPP @t4263 (tptp.hAPP (tptp.hAPP @t4261 @t61) @t64))) % 6.43/6.69 (define @t4288 () (tptp.hBOOL (tptp.hAPP @t4287 tptp.c_FunDef_Opair__less))) % 6.43/6.69 (define @t4289 () (tptp.c_member @t4109)) % 6.43/6.69 (define @t4290 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4289 @t61) @t4279))) % 6.43/6.69 (define @t4291 () (@list @t4276 @t64 @t4279 @t61)) % 6.43/6.69 (define @t4292 () (tptp.c_Orderings_Obot__class_Obot @t4280)) % 6.43/6.69 (define @t4293 () (tptp.hAPP @t4281 @t157)) % 6.43/6.69 (define @t4294 () (tptp.hAPP @t4284 (tptp.hAPP @t4293 @t4292))) % 6.43/6.69 (define @t4295 () (@list @t157)) % 6.43/6.69 (define @t4296 () (tptp.hAPP @t4277 @t61)) % 6.43/6.69 (define @t4297 () (tptp.hBOOL (tptp.hAPP @t4287 tptp.c_FunDef_Opair__leq))) % 6.43/6.69 (define @t4298 () (tptp.hAPP @t4289 @t64)) % 6.43/6.69 (define @t4299 () (tptp.hAPP @t4281 @t4292)) % 6.43/6.69 (define @t4300 () (tptp.c_Finite__Set_Ofinite @t4109)) % 6.43/6.69 (define @t4301 () (tptp.tc_fun @t4283 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4302 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4283) (tptp.hAPP @t4299 @t4292)) (tptp.c_Orderings_Obot__class_Obot @t4301))) % 6.43/6.69 (define @t4303 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4301)) % 6.43/6.69 (define @t4304 () (tptp.c_Product__Type_OPair @t4301 @t4301)) % 6.43/6.69 (define @t4305 () (tptp.hAPP (tptp.hAPP @t1000 @t1137) @t64)) % 6.43/6.69 (define @t4306 () (tptp.hAPP @t1000 @t61)) % 6.43/6.69 (define @t4307 () (tptp.hAPP @t4306 @t1865)) % 6.43/6.69 (define @t4308 () (tptp.hAPP (tptp.hAPP @t4091 @t1137) @t1865)) % 6.43/6.69 (define @t4309 () (@list @t1865 @t1137 @t64 @t61)) % 6.43/6.69 (define @t4310 () (tptp.c_FunDef_Orp__inv__image @t8 @t47)) % 6.43/6.69 (define @t4311 () (tptp.c_FunDef_Oreduction__pair @t8 @t136)) % 6.43/6.69 (define @t4312 () (tptp.tc_prod tptp.tc_Nat_Onat @t8)) % 6.43/6.69 (define @t4313 () (tptp.c_Relation_Oinv__image @t8 @t47)) % 6.43/6.69 (define @t4314 () (tptp.tc_fun @t4240 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4315 () (tptp.tc_prod @t4314 @t4314)) % 6.43/6.69 (define @t4316 () (tptp.tc_fun @t4314 @t4315)) % 6.43/6.69 (define @t4317 () (tptp.tc_fun @t74 @t4316)) % 6.43/6.69 (define @t4318 () (tptp.tc_fun @t74 @t4314)) % 6.43/6.69 (define @t4319 () (tptp.tc_fun @t74 @t4315)) % 6.43/6.69 (define @t4320 () (tptp.tc_fun @t4318 @t4319)) % 6.43/6.69 (define @t4321 () (tptp.tc_fun @t4028 @t4319)) % 6.43/6.69 (define @t4322 () (tptp.tc_fun @t4028 @t4318)) % 6.43/6.69 (define @t4323 () (tptp.c_Relation_OImage @t4109 @t4109 tptp.c_Int_Ointrel)) % 6.43/6.69 (define @t4324 () (tptp.hAPP @t4179 @t13)) % 6.43/6.69 (define @t4325 () (tptp.tc_prod @t47 @t8)) % 6.43/6.69 (define @t4326 () (tptp.c_member @t4325)) % 6.43/6.69 (define @t4327 () (tptp.tc_fun @t4325 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4328 () (tptp.tc_fun @t4327 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4329 () (tptp.c_Relation_OImage @t47 @t8 @t1449)) % 6.43/6.69 (define @t4330 () (tptp.hAPP @t4329 @t1147)) % 6.43/6.69 (define @t4331 () (tptp.hAPP @t4324 @t109)) % 6.43/6.69 (define @t4332 () (tptp.tc_fun @t47 @t4240)) % 6.43/6.69 (define @t4333 () (tptp.tc_fun @t8 @t4240)) % 6.43/6.69 (define @t4334 () (tptp.tc_fun @t4314 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4335 () (tptp.tc_fun @t8 @t4334)) % 6.43/6.69 (define @t4336 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t8 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4337 () (tptp.c_Set_OCollect @t4027)) % 6.43/6.69 (define @t4338 () (tptp.c_Relation_Oinv__image @t47 @t8)) % 6.43/6.69 (define @t4339 () (tptp.hAPP (tptp.hAPP @t4338 @t1449) @t2)) % 6.43/6.69 (define @t4340 () (tptp.c_Relation_OImage @t47 @t8 @t393)) % 6.43/6.69 (define @t4341 () (@list @t393 @t8 @t47)) % 6.43/6.69 (define @t4342 () (tptp.hAPP @t4340 @t77)) % 6.43/6.69 (define @t4343 () (tptp.hAPP @t4340 @t51)) % 6.43/6.69 (define @t4344 () (tptp.hAPP @t193 @t4343)) % 6.43/6.69 (define @t4345 () (tptp.hAPP (tptp.hAPP @t1093 @t4329) @t77)) % 6.43/6.69 (define @t4346 () (tptp.hAPP (tptp.hAPP @t729 @t4343) @t4342)) % 6.43/6.69 (define @t4347 () (tptp.hAPP @t4340 @t857)) % 6.43/6.69 (define @t4348 () (@list @t77 @t51 @t393 @t47 @t8)) % 6.43/6.69 (define @t4349 () (tptp.c_Relation_OImage @t8 @t47 @t1449)) % 6.43/6.69 (define @t4350 () (tptp.hAPP @t4349 @t51)) % 6.43/6.69 (define @t4351 () (@var "V_A_H_2" $$unsorted)) % 6.43/6.69 (define @t4352 () (@var "V_r_H_2" $$unsorted)) % 6.43/6.69 (define @t4353 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3943 @t4352) @t1449))) % 6.43/6.69 (define @t4354 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4327)) % 6.43/6.69 (define @t4355 () (tptp.hAPP @t1505 @t4345)) % 6.43/6.69 (define @t4356 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t106 @t48) @t51)) % 6.43/6.69 (define @t4357 () (tptp.hAPP @t4356 @t77)) % 6.43/6.69 (define @t4358 () (tptp.hAPP @t4329 @t4357)) % 6.43/6.69 (define @t4359 () (tptp.hAPP @t4179 @t3)) % 6.43/6.69 (define @t4360 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4326 (tptp.hAPP @t4359 @t109)) @t1449))) % 6.43/6.69 (define @t4361 () (tptp.hAPP @t4329 @t51)) % 6.43/6.69 (define @t4362 () (tptp.hBOOL (tptp.hAPP @t188 @t4361))) % 6.43/6.69 (define @t4363 () (@list @t51 @t1449 @t47 @t109 @t8)) % 6.43/6.69 (define @t4364 () (tptp.hBOOL (tptp.hAPP @t3991 @t1449))) % 6.43/6.69 (define @t4365 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t48 @t48) @t50) @t49)) % 6.43/6.69 (define @t4366 () (tptp.c_COMBB @t48 @t55 @t47)) % 6.43/6.69 (define @t4367 () (tptp.hAPP @t1721 @t64)) % 6.43/6.69 (define @t4368 () (tptp.hAPP @t1721 @t61)) % 6.43/6.69 (define @t4369 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4323 (tptp.hAPP (tptp.hAPP @t4277 @t4308) @t4292)))) % 6.43/6.69 (define @t4370 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4323 (tptp.hAPP (tptp.hAPP @t4277 @t4163) @t4292)))) % 6.43/6.69 (define @t4371 () (tptp.hAPP @t4091 @t337)) % 6.43/6.69 (define @t4372 () (tptp.tc_fun @t4280 @t4280)) % 6.43/6.69 (define @t4373 () (tptp.tc_fun tptp.tc_Nat_Onat @t4372)) % 6.43/6.69 (define @t4374 () (tptp.tc_fun tptp.tc_Nat_Onat @t4280)) % 6.43/6.69 (define @t4375 () (forall @t7 (not @t4078))) % 6.43/6.69 (define @t4376 () (tptp.c_Relation_OField @t8)) % 6.43/6.69 (define @t4377 () (tptp.hAPP @t4376 @t1449)) % 6.43/6.69 (define @t4378 () (tptp.hAPP @t4242 @t109)) % 6.43/6.69 (define @t4379 () (tptp.c_Set_Oinsert @t4027)) % 6.43/6.69 (define @t4380 () (@list @t1449 @t109 @t13 @t8)) % 6.43/6.69 (define @t4381 () (@list @t393 @t8)) % 6.43/6.69 (define @t4382 () (tptp.hAPP @t4376 @t1660)) % 6.43/6.69 (define @t4383 () (tptp.hAPP @t4029 @t1449)) % 6.43/6.69 (define @t4384 () (tptp.hBOOL (tptp.hAPP @t4383 @t1660))) % 6.43/6.69 (define @t4385 () (@list @t1660 @t1449 @t8)) % 6.43/6.69 (define @t4386 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4028)) % 6.43/6.69 (define @t4387 () (tptp.hAPP @t4386 @t1449)) % 6.43/6.69 (define @t4388 () (tptp.hAPP @t4387 @t1660)) % 6.43/6.69 (define @t4389 () (tptp.c_Finite__Set_Ofinite @t4027)) % 6.43/6.69 (define @t4390 () (tptp.hBOOL (tptp.hAPP @t4389 @t1449))) % 6.43/6.69 (define @t4391 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t8 @t4027) @t4073) @t145)) % 6.43/6.69 (define @t4392 () (tptp.c_Relation_OId__on @t8 @t51)) % 6.43/6.69 (define @t4393 () (tptp.c_Relation_OImage @t8 @t8 @t1449)) % 6.43/6.69 (define @t4394 () (tptp.c_COMBB @t55 @t55 @t8)) % 6.43/6.69 (define @t4395 () (tptp.c_Equiv__Relations_Oquotient @t8)) % 6.43/6.69 (define @t4396 () (tptp.hAPP (tptp.hAPP @t4395 @t51) @t1449)) % 6.43/6.69 (define @t4397 () (@list @t1449 @t51 @t8)) % 6.43/6.69 (define @t4398 () (tptp.hAPP @t4393 @t129)) % 6.43/6.69 (define @t4399 () (tptp.hAPP @t4076 @t4378)) % 6.43/6.69 (define @t4400 () (tptp.hAPP (tptp.hAPP @t4395 @t129) @t1449)) % 6.43/6.69 (define @t4401 () (@list @t1449 @t61 @t8)) % 6.43/6.69 (define @t4402 () (tptp.hBOOL (tptp.hAPP @t4399 @t1449))) % 6.43/6.69 (define @t4403 () (tptp.hAPP @t4393 @t112)) % 6.43/6.69 (define @t4404 () (tptp.hAPP @t4393 @t113)) % 6.43/6.69 (define @t4405 () (tptp.c_Equiv__Relations_Oequiv @t8 @t51 @t1449)) % 6.43/6.69 (define @t4406 () (=> @t252 @t4402)) % 6.43/6.69 (define @t4407 () (tptp.hBOOL (tptp.hAPP @t1296 @t4396))) % 6.43/6.69 (define @t4408 () (tptp.c_Orderings_Otop__class_Otop @t4280)) % 6.43/6.69 (define @t4409 () (@list @t13 @t1449 @t51 @t8)) % 6.43/6.69 (define @t4410 () (= @t157 @t144)) % 6.43/6.69 (define @t4411 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1295 @t144) @t4396))) % 6.43/6.69 (define @t4412 () (= @t4404 @t4403)) % 6.43/6.69 (define @t4413 () (@list @t109 @t13 @t1449 @t51 @t8)) % 6.43/6.69 (define @t4414 () (tptp.hBOOL (tptp.hAPP @t4178 @t1449))) % 6.43/6.69 (define @t4415 () (tptp.hBOOL (tptp.hAPP @t247 @t144))) % 6.43/6.69 (define @t4416 () (tptp.hBOOL (tptp.hAPP @t155 @t157))) % 6.43/6.69 (define @t4417 () (@list @t64 @t61 @t144 @t157 @t1449 @t51 @t8)) % 6.43/6.69 (define @t4418 () (= @t4398 (tptp.hAPP @t4393 @t1387))) % 6.43/6.69 (define @t4419 () (@list @t64 @t61 @t1449 @t51 @t8)) % 6.43/6.69 (define @t4420 () (tptp.c_Equiv__Relations_Ocongruent @t8 @t48 @t1449 @t2)) % 6.43/6.69 (define @t4421 () (@var "V_r2_2" $$unsorted)) % 6.43/6.69 (define @t4422 () (tptp.c_Relation_OImage @t47 @t47 @t4421)) % 6.43/6.69 (define @t4423 () (tptp.c_COMBB @t923 @t778 @t8)) % 6.43/6.69 (define @t4424 () (@var "V_r1_2" $$unsorted)) % 6.43/6.69 (define @t4425 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t778)) % 6.43/6.69 (define @t4426 () (@var "V_A2_2" $$unsorted)) % 6.43/6.69 (define @t4427 () (@var "V_A1_2" $$unsorted)) % 6.43/6.69 (define @t4428 () (tptp.c_Equiv__Relations_Ocongruent2 @t8 @t47 @t778 @t4424 @t4421 @t2)) % 6.43/6.69 (define @t4429 () (tptp.c_Equiv__Relations_Oequiv @t47 @t4426 @t4421)) % 6.43/6.69 (define @t4430 () (tptp.c_Equiv__Relations_Oequiv @t8 @t4427 @t4424)) % 6.43/6.69 (define @t4431 () (tptp.hAPP @t393 @t3)) % 6.43/6.69 (define @t4432 () (tptp.c_Equiv__Relations_Oequivp @t8 @t393)) % 6.43/6.69 (define @t4433 () (tptp.hAPP @t393 @t64)) % 6.43/6.69 (define @t4434 () (tptp.hBOOL (tptp.hAPP @t4260 @t64))) % 6.43/6.69 (define @t4435 () (tptp.c_Equiv__Relations_Ocongruent2 @t8 @t47 @t106 @t4424 @t4421 @t2)) % 6.43/6.69 (define @t4436 () (@var "V_z2_2" $$unsorted)) % 6.43/6.69 (define @t4437 () (@var "V_z1_2" $$unsorted)) % 6.43/6.69 (define @t4438 () (@var "V_y2_2" $$unsorted)) % 6.43/6.69 (define @t4439 () (@var "V_y1_2" $$unsorted)) % 6.43/6.69 (define @t4440 () (tptp.hAPP @t4073 @t64)) % 6.43/6.69 (define @t4441 () (tptp.hAPP @t4076 (tptp.hAPP @t4440 @t315))) % 6.43/6.69 (define @t4442 () (tptp.c_Equiv__Relations_Ocongruent @t8 @t47 @t1449 @t2)) % 6.43/6.69 (define @t4443 () (tptp.hAPP @t4076 (tptp.hAPP @t4074 @t42))) % 6.43/6.69 (define @t4444 () (tptp.hBOOL (tptp.hAPP @t4443 @t1449))) % 6.43/6.69 (define @t4445 () (tptp.hAPP @t2 @t42)) % 6.43/6.69 (define @t4446 () (= @t5 @t4445)) % 6.43/6.69 (define @t4447 () (tptp.hAPP (tptp.hAPP @t916 @t157) @t2)) % 6.43/6.69 (define @t4448 () (@var "V_X2_2" $$unsorted)) % 6.43/6.69 (define @t4449 () (@var "V_X1_2" $$unsorted)) % 6.43/6.69 (define @t4450 () (tptp.c_member @t778)) % 6.43/6.69 (define @t4451 () (@var "B_x2" $$unsorted)) % 6.43/6.69 (define @t4452 () (tptp.c_member @t48)) % 6.43/6.69 (define @t4453 () (tptp.c_Fun_Oinj__on @t8 @t1336 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4028 @t1336) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 (tptp.tc_fun @t4028 @t1336) @t8) @t4395) @t492)) @t1449) @t51)) % 6.43/6.69 (define @t4454 () (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t51)) % 6.43/6.69 (define @t4455 () (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t77)) % 6.43/6.69 (define @t4456 () (@list @t51 @t77 @t2 @t47 @t8)) % 6.43/6.69 (define @t4457 () (= @t67 @t927)) % 6.43/6.69 (define @t4458 () (not @t4457)) % 6.43/6.69 (define @t4459 () (@list @t64 @t61 @t51 @t2 @t47 @t8)) % 6.43/6.69 (define @t4460 () (= @t4457 @t222)) % 6.43/6.69 (define @t4461 () (= (= @t320 @t326) @t168)) % 6.43/6.69 (define @t4462 () (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t195)) % 6.43/6.69 (define @t4463 () (tptp.c_Fun_Oinj__on @t47 @t8 @t2 @t51)) % 6.43/6.69 (define @t4464 () (= @t1563 @t1386)) % 6.43/6.69 (define @t4465 () (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t1407)) % 6.43/6.69 (define @t4466 () (= @t42 @t3)) % 6.43/6.69 (define @t4467 () (tptp.hAPP @t189 @t80)) % 6.43/6.69 (define @t4468 () (@var "B_g" $$unsorted)) % 6.43/6.69 (define @t4469 () (tptp.hAPP @t324 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t47 @t1715) @t51))) % 6.43/6.69 (define @t4470 () (tptp.c_Fun_Oinj__on @t8 @t47 @t1715 @t51)) % 6.43/6.69 (define @t4471 () (tptp.c_Fun_Oinj__on @t8 @t8 @t2 @t51)) % 6.43/6.69 (define @t4472 () (tptp.c_Set_Oimage @t8 @t8 @t2)) % 6.43/6.69 (define @t4473 () (tptp.hAPP @t4472 @t51)) % 6.43/6.69 (define @t4474 () (= (tptp.hAPP @t4472 @t1407) @t1407)) % 6.43/6.69 (define @t4475 () (tptp.c_Fun_Oinj__on @t8 @t8 @t2 @t1407)) % 6.43/6.69 (define @t4476 () (@list @t2 @t8)) % 6.43/6.69 (define @t4477 () (= (tptp.hAPP @t319 @t731) (tptp.hAPP (tptp.hAPP @t855 @t320) @t326))) % 6.43/6.69 (define @t4478 () (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t225)) % 6.43/6.69 (define @t4479 () (@list @t77 @t51 @t225 @t2 @t47 @t8)) % 6.43/6.69 (define @t4480 () (tptp.hAPP @t319 @t539)) % 6.43/6.69 (define @t4481 () (= @t4480 (tptp.hAPP (tptp.hAPP @t577 @t320) @t326))) % 6.43/6.69 (define @t4482 () (tptp.hAPP @t189 @t64)) % 6.43/6.69 (define @t4483 () (tptp.hBOOL (tptp.hAPP @t4482 @t320))) % 6.43/6.69 (define @t4484 () (tptp.c_member @t4280)) % 6.43/6.69 (define @t4485 () (tptp.hBOOL (tptp.hAPP @t327 @t77))) % 6.43/6.69 (define @t4486 () (tptp.hBOOL (tptp.hAPP @t1560 @t2423))) % 6.43/6.69 (define @t4487 () (tptp.c_Fun_Othe__inv__into @t8 @t47 @t51 @t2)) % 6.43/6.69 (define @t4488 () (tptp.hAPP @t4487 @t61)) % 6.43/6.69 (define @t4489 () (@var "V_m_H_2" $$unsorted)) % 6.43/6.69 (define @t4490 () (tptp.c_Map_Odom @t8 @t47 @t4489)) % 6.43/6.69 (define @t4491 () (tptp.hAPP (tptp.c_COMBC @t47 @t8 @t4325) @t4179)) % 6.43/6.69 (define @t4492 () (tptp.hAPP @t4487 @t64)) % 6.43/6.69 (define @t4493 () (@list @t61 @t51 @t2 @t47 @t8)) % 6.43/6.69 (define @t4494 () (@var "V_Abs_2" $$unsorted)) % 6.43/6.69 (define @t4495 () (@var "V_Rep_2" $$unsorted)) % 6.43/6.69 (define @t4496 () (tptp.c_Typedef_Otype__definition @t8 @t47 @t4495 @t4494 @t51)) % 6.43/6.69 (define @t4497 () (@list @t51 @t4494 @t4495 @t47 @t8)) % 6.43/6.69 (define @t4498 () (tptp.hAPP @t4495 @t61)) % 6.43/6.69 (define @t4499 () (@list @t61 @t51 @t4494 @t4495 @t47 @t8)) % 6.43/6.69 (define @t4500 () (@list @t64 @t61 @t51 @t4494 @t4495 @t47 @t8)) % 6.43/6.69 (define @t4501 () (tptp.hAPP @t4494 @t64)) % 6.43/6.69 (define @t4502 () (tptp.hBOOL (tptp.hAPP @t4482 @t51))) % 6.43/6.69 (define @t4503 () (tptp.c_Set_Ovimage @t8 @t47 @t2)) % 6.43/6.69 (define @t4504 () (tptp.hAPP @t4503 @t1147)) % 6.43/6.69 (define @t4505 () (@list @t13 @t2 @t47 @t8)) % 6.43/6.69 (define @t4506 () (tptp.c_Option_Ooption_OSome @t106)) % 6.43/6.69 (define @t4507 () (tptp.hAPP @t4506 @t61)) % 6.43/6.69 (define @t4508 () (tptp.tc_prod @t8 @t106)) % 6.43/6.69 (define @t4509 () (tptp.c_Map_Omap__of @t47 @t106)) % 6.43/6.69 (define @t4510 () (tptp.c_Map_Omap__of @t8 @t106)) % 6.43/6.69 (define @t4511 () (tptp.c_Set_Ovimage @t47 @t8 @t2)) % 6.43/6.69 (define @t4512 () (tptp.hAPP @t4511 @t77)) % 6.43/6.69 (define @t4513 () (= @t80 @t109)) % 6.43/6.69 (define @t4514 () (tptp.tc_List_Olist @t8)) % 6.43/6.69 (define @t4515 () (tptp.tc_fun @t4514 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4516 () (tptp.c_Orderings_Otop__class_Otop @t4515)) % 6.43/6.69 (define @t4517 () (tptp.c_List_Omap @t8 @t47)) % 6.43/6.69 (define @t4518 () (tptp.hAPP @t4517 @t2)) % 6.43/6.69 (define @t4519 () (tptp.tc_List_Olist @t47)) % 6.43/6.69 (define @t4520 () (tptp.c_Fun_Oinj__on @t4514 @t4519 @t4518 @t4516)) % 6.43/6.69 (define @t4521 () (@var "V_ys_2" $$unsorted)) % 6.43/6.69 (define @t4522 () (@var "V_xs_2" $$unsorted)) % 6.43/6.69 (define @t4523 () (= @t4522 @t4521)) % 6.43/6.69 (define @t4524 () (tptp.hAPP @t4518 @t4521)) % 6.43/6.69 (define @t4525 () (tptp.hAPP @t4518 @t4522)) % 6.43/6.69 (define @t4526 () (= (= @t4525 @t4524) @t4523)) % 6.43/6.69 (define @t4527 () (@list @t4521 @t4522 @t2 @t47 @t8)) % 6.43/6.69 (define @t4528 () (tptp.c_List_Omap @t47 @t8)) % 6.43/6.69 (define @t4529 () (tptp.hAPP @t4528 @t2)) % 6.43/6.69 (define @t4530 () (tptp.hAPP @t4529 @t4521)) % 6.43/6.69 (define @t4531 () (tptp.hAPP @t4529 @t4522)) % 6.43/6.69 (define @t4532 () (= @t4531 @t4530)) % 6.43/6.69 (define @t4533 () (@list @t4521 @t4522 @t2 @t8 @t47)) % 6.43/6.69 (define @t4534 () (tptp.hAPP @t4511 @t51)) % 6.43/6.69 (define @t4535 () (tptp.hAPP @t78 @t4534)) % 6.43/6.69 (define @t4536 () (tptp.hAPP @t4503 @t77)) % 6.43/6.69 (define @t4537 () (tptp.hAPP @t4503 @t51)) % 6.43/6.69 (define @t4538 () (tptp.hAPP (tptp.hAPP @t1093 @t4503) @t77)) % 6.43/6.69 (define @t4539 () (@list @t77 @t51 @t106 @t2 @t47 @t8)) % 6.43/6.69 (define @t4540 () (tptp.c_List_Omap @t8 @t8)) % 6.43/6.69 (define @t4541 () (tptp.hAPP @t4540 @t145)) % 6.43/6.69 (define @t4542 () (@list @t4522 @t8)) % 6.43/6.69 (define @t4543 () (@list @t77 @t2 @t47 @t8)) % 6.43/6.69 (define @t4544 () (tptp.hAPP @t50 @t109)) % 6.43/6.69 (define @t4545 () (tptp.hAPP @t2162 @t18)) % 6.43/6.69 (define @t4546 () (tptp.hAPP (tptp.c_Set_Ovimage @t47 @t8 @t4545) @t51)) % 6.43/6.69 (define @t4547 () (tptp.hAPP (tptp.c_Set_Ovimage @t47 @t8 (tptp.hAPP (tptp.hAPP @t1832 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t8 @t769) (tptp.hAPP @t1572 @t3904)) @t18)) @t116)) @t51)) % 6.43/6.69 (define @t4548 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t116) @t51))) % 6.43/6.69 (define @t4549 () (not @t4548)) % 6.43/6.69 (define @t4550 () (tptp.c_Option_Othe @t47)) % 6.43/6.69 (define @t4551 () (tptp.hAPP (tptp.c_COMBS @t8 @t47 @t1469) @t3927)) % 6.43/6.69 (define @t4552 () (tptp.c_List_Omap @t8 @t1469)) % 6.43/6.69 (define @t4553 () (tptp.c_List_Oset @t8)) % 6.43/6.69 (define @t4554 () (tptp.hAPP @t4553 @t4522)) % 6.43/6.69 (define @t4555 () (tptp.hAPP @t2087 @t2)) % 6.43/6.69 (define @t4556 () (tptp.c_Fun_Ocomp @t2088 @t693 @t8 @t4555)) % 6.43/6.69 (define @t4557 () (tptp.tc_fun @t106 @t1469)) % 6.43/6.69 (define @t4558 () (tptp.hAPP (tptp.c_List_Omap @t4508 @t1469) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t106 @t1469) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t2089 @t4557) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3934 (tptp.tc_fun @t2089 @t4557) @t8) (tptp.c_COMBB @t47 @t1469 @t106)) @t3927)) @t2)))) % 6.43/6.69 (define @t4559 () (tptp.c_Wellfounded_Oacc @t8 @t1449)) % 6.43/6.69 (define @t4560 () (tptp.hBOOL (tptp.hAPP @t155 @t4559))) % 6.43/6.69 (define @t4561 () (tptp.hAPP @t4274 @t1449)) % 6.43/6.69 (define @t4562 () (@list @t61 @t1449 @t8)) % 6.43/6.69 (define @t4563 () (tptp.c_List_Oset @t47)) % 6.43/6.69 (define @t4564 () (tptp.hAPP @t4563 @t4522)) % 6.43/6.69 (define @t4565 () (tptp.hAPP @t78 @t4564)) % 6.43/6.69 (define @t4566 () (@list @t4522 @t2 @t47 @t8)) % 6.43/6.69 (define @t4567 () (tptp.hAPP (tptp.hAPP @t4528 @t1) @t4522)) % 6.43/6.69 (define @t4568 () (tptp.c_Fun_Ocomp @t106 @t47 @t8 @t2)) % 6.43/6.69 (define @t4569 () (tptp.hAPP @t4568 @t1)) % 6.43/6.69 (define @t4570 () (tptp.c_List_Omap @t106 @t47)) % 6.43/6.69 (define @t4571 () (tptp.hAPP @t4570 @t2)) % 6.43/6.69 (define @t4572 () (tptp.tc_List_Olist @t106)) % 6.43/6.69 (define @t4573 () (@list @t1 @t2 @t8 @t47 @t106)) % 6.43/6.69 (define @t4574 () (@var "V_list_2" $$unsorted)) % 6.43/6.69 (define @t4575 () (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t8 @t106 @t2) @t1)) % 6.43/6.69 (define @t4576 () (tptp.c_List_Omap @t106 @t8)) % 6.43/6.69 (define @t4577 () (tptp.hAPP @t4576 @t4575)) % 6.43/6.69 (define @t4578 () (tptp.hAPP @t4570 @t1)) % 6.43/6.69 (define @t4579 () (tptp.hAPP (tptp.c_Fun_Ocomp @t106 @t47 @t8 @t1) @t2)) % 6.43/6.69 (define @t4580 () (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t47 @t47 @t927) @t67)) % 6.43/6.69 (define @t4581 () (tptp.c_Fun_Ocomp @t47 @t47 @t47 @t67)) % 6.43/6.69 (define @t4582 () (tptp.hAPP @t4581 @t927)) % 6.43/6.69 (define @t4583 () (@var "V_option_2" $$unsorted)) % 6.43/6.69 (define @t4584 () (tptp.hAPP (tptp.c_Option_Omap @t106 @t8) @t4575)) % 6.43/6.69 (define @t4585 () (tptp.hAPP @t2087 @t1)) % 6.43/6.69 (define @t4586 () (tptp.hAPP @t13 (tptp.hAPP @t109 @t1865))) % 6.43/6.69 (define @t4587 () (= @t4586 (tptp.hAPP @t18 @t1865))) % 6.43/6.69 (define @t4588 () (tptp.hAPP (tptp.c_Fun_Ocomp @t106 @t47 @t8 @t13) @t109)) % 6.43/6.69 (define @t4589 () (@list @t1865 @t18 @t109 @t13 @t8 @t47 @t106)) % 6.43/6.69 (define @t4590 () (@var "V_x_H_2" $$unsorted)) % 6.43/6.69 (define @t4591 () (@var "V_g_H_2" $$unsorted)) % 6.43/6.69 (define @t4592 () (@var "V_f_H_2" $$unsorted)) % 6.43/6.69 (define @t4593 () (tptp.hAPP @t4575 @t61)) % 6.43/6.69 (define @t4594 () (tptp.hAPP (tptp.c_Fun_Ocomp @t106 @t47 @t4043 @t2) @t1)) % 6.43/6.69 (define @t4595 () (= @t4588 (tptp.hAPP (tptp.c_Fun_Ocomp @t4043 @t47 @t8 @t18) @t116))) % 6.43/6.69 (define @t4596 () (= (tptp.hAPP @t4581 @t67) @t67)) % 6.43/6.69 (define @t4597 () (tptp.c_Orderings_Otop__class_Otop @t778)) % 6.43/6.69 (define @t4598 () (tptp.c_Finite__Set_Ofinite @t4514)) % 6.43/6.69 (define @t4599 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t47 @t106 @t2) @t1)) % 6.43/6.69 (define @t4600 () (tptp.c_Fun_Ocomp @t47 @t106 @t8 @t1)) % 6.43/6.69 (define @t4601 () (@var "V_ks_2" $$unsorted)) % 6.43/6.69 (define @t4602 () (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t106 @t8 @t356) @t2)) % 6.43/6.69 (define @t4603 () (tptp.hAPP @t1601 @t4602)) % 6.43/6.69 (define @t4604 () (tptp.hAPP @t1602 @t356)) % 6.43/6.69 (define @t4605 () (@list @t356 @t77 @t2 @t47 @t8 @t106)) % 6.43/6.69 (define @t4606 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 @t106)) % 6.43/6.69 (define @t4607 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t47 @t106)) % 6.43/6.69 (define @t4608 () (tptp.hAPP @t4607 @t356)) % 6.43/6.69 (define @t4609 () (= (tptp.hAPP @t4608 @t77) (tptp.hAPP (tptp.hAPP @t4606 @t1) @t51))) % 6.43/6.69 (define @t4610 () (= @t77 @t320)) % 6.43/6.69 (define @t4611 () (tptp.class_Groups_Ocomm__monoid__mult @t106)) % 6.43/6.69 (define @t4612 () (@list @t356 @t1 @t77 @t51 @t2 @t47 @t8 @t106)) % 6.43/6.69 (define @t4613 () (tptp.hAPP @t4553 @t4521)) % 6.43/6.69 (define @t4614 () (tptp.hAPP (tptp.hAPP @t193 @t4554) @t4613)) % 6.43/6.69 (define @t4615 () (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t4614)) % 6.43/6.69 (define @t4616 () (tptp.hAPP @t4563 @t4521)) % 6.43/6.69 (define @t4617 () (tptp.hBOOL (tptp.hAPP @t247 @t4554))) % 6.43/6.69 (define @t4618 () (tptp.c_Set_Oimage @t4514 @t55 @t4553)) % 6.43/6.69 (define @t4619 () (tptp.c_List_Oset @t1469)) % 6.43/6.69 (define @t4620 () (tptp.hAPP @t4619 @t4521)) % 6.43/6.69 (define @t4621 () (tptp.c_Set_Oimage @t1469 @t8 @t4194)) % 6.43/6.69 (define @t4622 () (tptp.hAPP @t4619 @t4522)) % 6.43/6.69 (define @t4623 () (tptp.hAPP @t2254 @t4521)) % 6.43/6.69 (define @t4624 () (tptp.hAPP @t2254 @t4522)) % 6.43/6.69 (define @t4625 () (= @t4624 @t4623)) % 6.43/6.69 (define @t4626 () (@list @t4521 @t4522 @t47 @t8)) % 6.43/6.69 (define @t4627 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t47 @t8 @t1) @t356)) % 6.43/6.69 (define @t4628 () (tptp.hAPP @t506 @t51)) % 6.43/6.69 (define @t4629 () (tptp.c_Fun_Oinj__on @t8 @t8 @t356 @t51)) % 6.43/6.69 (define @t4630 () (@list @t1 @t356 @t51 @t8 @t47)) % 6.43/6.69 (define @t4631 () (tptp.hBOOL (tptp.hAPP @t175 @t4559))) % 6.43/6.69 (define @t4632 () (tptp.hBOOL (tptp.hAPP @t188 @t4559))) % 6.43/6.69 (define @t4633 () (tptp.hBOOL (tptp.hAPP @t232 @t4559))) % 6.43/6.69 (define @t4634 () (@list @t1449 @t13 @t8)) % 6.43/6.69 (define @t4635 () (tptp.hAPP (tptp.c_Set_Oimage @t106 @t8 @t1) @t51)) % 6.43/6.69 (define @t4636 () (tptp.c_List_Oset @t4325)) % 6.43/6.69 (define @t4637 () (tptp.hAPP (tptp.hAPP @t2096 @t4522) @t690)) % 6.43/6.69 (define @t4638 () (tptp.hAPP @t4636 @t2334)) % 6.43/6.69 (define @t4639 () (tptp.hAPP @t4326 @t4208)) % 6.43/6.69 (define @t4640 () (tptp.hAPP @t2335 @t61)) % 6.43/6.69 (define @t4641 () (tptp.hAPP @t4619 @t2334)) % 6.43/6.69 (define @t4642 () (tptp.hAPP @t2254 @t2334)) % 6.43/6.69 (define @t4643 () (tptp.c_Groups_Otimes__class_Otimes @t106)) % 6.43/6.69 (define @t4644 () (tptp.c_Finite__Set_Ofold__image @t106 @t8 @t4643)) % 6.43/6.69 (define @t4645 () (tptp.c_Finite__Set_Ofold__image @t106 @t47 @t4643)) % 6.43/6.69 (define @t4646 () (tptp.c_Set_Oimage @t4325 @t47 @t4209)) % 6.43/6.69 (define @t4647 () (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t47 @t47 @t531) @t67)) % 6.43/6.69 (define @t4648 () (tptp.c_Finite__Set_Ofolding @t8 @t47 @t2 @t123)) % 6.43/6.69 (define @t4649 () (@list @t61 @t51 @t123 @t2 @t47 @t8)) % 6.43/6.69 (define @t4650 () (tptp.c_Finite__Set_Ofolding__image @t8 @t47 @t2 @t315 @t123)) % 6.43/6.69 (define @t4651 () (tptp.c_Fun_Ocomp @t47 @t47 @t47 @t460)) % 6.43/6.69 (define @t4652 () (tptp.hAPP @t4651 @t466)) % 6.43/6.69 (define @t4653 () (= @t468 @t4652)) % 6.43/6.69 (define @t4654 () (@list @t77 @t51 @t123 @t2 @t47 @t8)) % 6.43/6.69 (define @t4655 () (@var "T_f" $$unsorted)) % 6.43/6.69 (define @t4656 () (tptp.c_Fun_Ocomp @t47 @t47 @t106 @t927)) % 6.43/6.69 (define @t4657 () (tptp.c_Fun_Ocomp @t47 @t47 @t106 @t67)) % 6.43/6.69 (define @t4658 () (tptp.hAPP @t4657 @t1)) % 6.43/6.69 (define @t4659 () (tptp.hAPP @t4571 @t4522)) % 6.43/6.69 (define @t4660 () (tptp.hAPP @t4651 @t67)) % 6.43/6.69 (define @t4661 () (tptp.c_Fun_Ocomp @t47 @t47 @t106 @t460)) % 6.43/6.69 (define @t4662 () (tptp.hAPP @t4661 @t1)) % 6.43/6.69 (define @t4663 () (tptp.c_Fun_Ocomp @t47 @t47 @t106 @t466)) % 6.43/6.69 (define @t4664 () (= @t462 @t4660)) % 6.43/6.69 (define @t4665 () (tptp.c_Hoare__Mirabelle_Opeek__and @t8 @t136 (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate tptp.c_fNot) @t109))) % 6.43/6.69 (define @t4666 () (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP @t138 @t524) @t4665)) @t11)) % 6.43/6.69 (define @t4667 () (tptp.hAPP (tptp.hAPP @t137 (tptp.c_Hoare__Mirabelle_Opeek__and @t8 @t136 @t109)) @t18)) % 6.43/6.69 (define @t4668 () (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP @t4667 @t136)) @t11)) % 6.43/6.69 (define @t4669 () (@var "V_al_2" $$unsorted)) % 6.43/6.69 (define @t4670 () (tptp.c_Set_Oimage @t1469 @t47 @t4192)) % 6.43/6.69 (define @t4671 () (tptp.hAPP (tptp.c_List_Omap @t1469 @t8) @t4194)) % 6.43/6.69 (define @t4672 () (tptp.c_List_Odistinct @t8)) % 6.43/6.69 (define @t4673 () (tptp.hAPP @t4671 @t4522)) % 6.43/6.69 (define @t4674 () (tptp.hBOOL (tptp.hAPP @t4672 @t4673))) % 6.43/6.69 (define @t4675 () (@list @t4522 @t47 @t8)) % 6.43/6.69 (define @t4676 () (tptp.hAPP @t4642 @t61)) % 6.43/6.69 (define @t4677 () (= @t4676 @t691)) % 6.43/6.69 (define @t4678 () (tptp.hBOOL (tptp.hAPP @t3931 @t4641))) % 6.43/6.69 (define @t4679 () (tptp.hBOOL (tptp.hAPP @t4672 (tptp.hAPP @t4671 @t2334)))) % 6.43/6.69 (define @t4680 () (@list @t64 @t61 @t2334 @t47 @t8)) % 6.43/6.69 (define @t4681 () (tptp.c_List_Odistinct @t47)) % 6.43/6.69 (define @t4682 () (tptp.hBOOL (tptp.hAPP @t4681 @t4522))) % 6.43/6.69 (define @t4683 () (tptp.hAPP @t4671 @t4521)) % 6.43/6.69 (define @t4684 () (= @t3 @t42)) % 6.43/6.69 (define @t4685 () (tptp.hAPP (tptp.hAPP @t2494 @t1190) @t2453)) % 6.43/6.69 (define @t4686 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 6.43/6.69 (define @t4687 () (tptp.c_List_Oupto @t1165 @t1162)) % 6.43/6.69 (define @t4688 () (tptp.c_List_Oupto @t1034 @t1190)) % 6.43/6.69 (define @t4689 () (tptp.hAPP @t4686 @t4688)) % 6.43/6.69 (define @t4690 () (tptp.c_List_Oupto @t2726 @t1190)) % 6.43/6.69 (define @t4691 () (tptp.c_Finite__Set_Ofolding__idem @t8 @t47 @t2 @t123)) % 6.43/6.69 (define @t4692 () (tptp.hAPP @t528 @t4554)) % 6.43/6.69 (define @t4693 () (tptp.hAPP @t4692 @t129)) % 6.43/6.69 (define @t4694 () (tptp.c_List_Oremove1 @t8 @t61 @t4522)) % 6.43/6.69 (define @t4695 () (tptp.hAPP @t4553 @t4694)) % 6.43/6.69 (define @t4696 () (tptp.hBOOL (tptp.hAPP @t4672 @t4522))) % 6.43/6.69 (define @t4697 () (@list @t61 @t4522 @t8)) % 6.43/6.69 (define @t4698 () (tptp.c_List_Ozip @t8 @t47)) % 6.43/6.69 (define @t4699 () (tptp.hAPP @t4698 @t4522)) % 6.43/6.69 (define @t4700 () (tptp.hAPP (tptp.hAPP @t2254 (tptp.hAPP @t4699 @t4525)) @t61)) % 6.43/6.69 (define @t4701 () (tptp.hBOOL (tptp.hAPP @t155 @t4554))) % 6.43/6.69 (define @t4702 () (not @t4701)) % 6.43/6.69 (define @t4703 () (@var "V_ys" $$unsorted)) % 6.43/6.69 (define @t4704 () (@var "V_xs" $$unsorted)) % 6.43/6.69 (define @t4705 () (tptp.hAPP @t4698 @t4704)) % 6.43/6.69 (define @t4706 () (tptp.hAPP @t4705 @t4703)) % 6.43/6.69 (define @t4707 () (tptp.c_List_Odistinct @t1469)) % 6.43/6.69 (define @t4708 () (tptp.hBOOL (tptp.hAPP @t4672 @t4704))) % 6.43/6.69 (define @t4709 () (@list @t4703 @t47 @t4704 @t8)) % 6.43/6.69 (define @t4710 () (tptp.c_List_Oremove1 @t8 @t132 @t4704)) % 6.43/6.69 (define @t4711 () (@list @t132 @t4704 @t8)) % 6.43/6.69 (define @t4712 () (tptp.c_List_Ozip @t47 @t8)) % 6.43/6.69 (define @t4713 () (@var "V_zs" $$unsorted)) % 6.43/6.69 (define @t4714 () (@list @t4713 @t210 @t132 @t8)) % 6.43/6.69 (define @t4715 () (@list @t4522 @t61 @t8)) % 6.43/6.69 (define @t4716 () (tptp.hBOOL (tptp.hAPP @t175 @t4554))) % 6.43/6.69 (define @t4717 () (tptp.hAPP (tptp.c_List_Ozip @t8 @t8) @t4522)) % 6.43/6.69 (define @t4718 () (tptp.hAPP @t4717 @t4522)) % 6.43/6.69 (define @t4719 () (@var "V_zs_2" $$unsorted)) % 6.43/6.69 (define @t4720 () (tptp.hAPP (tptp.c_List_Omap @t1469 @t47) @t4192)) % 6.43/6.69 (define @t4721 () (tptp.hAPP @t4720 @t4719)) % 6.43/6.69 (define @t4722 () (tptp.hAPP @t4671 @t4719)) % 6.43/6.69 (define @t4723 () (tptp.tc_prod @t4043 @t106)) % 6.43/6.69 (define @t4724 () (tptp.hAPP (tptp.c_List_Omap @t4043 @t47) @t1)) % 6.43/6.69 (define @t4725 () (tptp.c_List_Ozip @t47 @t106)) % 6.43/6.69 (define @t4726 () (tptp.hAPP (tptp.c_List_Omap @t3956 @t8) @t2)) % 6.43/6.69 (define @t4727 () (tptp.tc_fun @t4043 @t3956)) % 6.43/6.69 (define @t4728 () (tptp.tc_fun @t4043 @t106)) % 6.43/6.69 (define @t4729 () (tptp.tc_prod @t47 @t4043)) % 6.43/6.69 (define @t4730 () (tptp.c_List_Oset @t4027)) % 6.43/6.69 (define @t4731 () (tptp.hAPP @t4699 @t4521)) % 6.43/6.69 (define @t4732 () (tptp.hAPP @t4619 @t4731)) % 6.43/6.69 (define @t4733 () (tptp.hBOOL (tptp.hAPP @t3931 @t4732))) % 6.43/6.69 (define @t4734 () (@list @t4521 @t4522 @t64 @t61 @t47 @t8)) % 6.43/6.69 (define @t4735 () (tptp.hBOOL (tptp.hAPP @t4482 @t4616))) % 6.43/6.69 (define @t4736 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t3934 @t106) @t3927) @t2)) % 6.43/6.69 (define @t4737 () (tptp.tc_fun @t4043 @t1469)) % 6.43/6.69 (define @t4738 () (tptp.tc_fun @t4043 @t47)) % 6.43/6.69 (define @t4739 () (tptp.tc_prod @t106 @t4043)) % 6.43/6.69 (define @t4740 () (tptp.hAPP @t4576 @t2)) % 6.43/6.69 (define @t4741 () (tptp.hAPP @t4698 (tptp.hAPP @t4740 @t4522))) % 6.43/6.69 (define @t4742 () (tptp.tc_prod @t106 @t47)) % 6.43/6.69 (define @t4743 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t51)) % 6.43/6.69 (define @t4744 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t530)) % 6.43/6.69 (define @t4745 () (tptp.hAPP @t4712 @t4522)) % 6.43/6.69 (define @t4746 () (tptp.hAPP @t2096 (tptp.hAPP @t4745 @t4719))) % 6.43/6.69 (define @t4747 () (tptp.hAPP @t2096 (tptp.hAPP @t4745 @t4521))) % 6.43/6.69 (define @t4748 () (= @t4747 @t4746)) % 6.43/6.69 (define @t4749 () (tptp.hAPP @t65 @t315)) % 6.43/6.69 (define @t4750 () (tptp.c_Nat_Osize__class_Osize @t4519)) % 6.43/6.69 (define @t4751 () (tptp.hAPP @t4750 @t4522)) % 6.43/6.69 (define @t4752 () (tptp.c_Nat_Osize__class_Osize @t4514)) % 6.43/6.69 (define @t4753 () (= (tptp.hAPP @t4752 @t4719) @t4751)) % 6.43/6.69 (define @t4754 () (tptp.hAPP @t4752 @t4521)) % 6.43/6.69 (define @t4755 () (= @t4754 @t4751)) % 6.43/6.69 (define @t4756 () (tptp.c_List_OremoveAll @t8 @t61)) % 6.43/6.69 (define @t4757 () (tptp.hAPP @t4756 @t4522)) % 6.43/6.69 (define @t4758 () (= (tptp.hAPP @t4518 @t4757) (tptp.hAPP (tptp.c_List_OremoveAll @t47 @t67) @t4525))) % 6.43/6.69 (define @t4759 () (tptp.hAPP @t97 @t4554)) % 6.43/6.69 (define @t4760 () (@list @t4522 @t61 @t2 @t47 @t8)) % 6.43/6.69 (define @t4761 () (tptp.hAPP @t4750 @t4703)) % 6.43/6.69 (define @t4762 () (tptp.hAPP @t4752 @t4704)) % 6.43/6.69 (define @t4763 () (tptp.hAPP @t1983 @t4762)) % 6.43/6.69 (define @t4764 () (tptp.tc_List_Olist @t1469)) % 6.43/6.69 (define @t4765 () (= @t4704 @t4703)) % 6.43/6.69 (define @t4766 () (tptp.hAPP @t4752 @t4703)) % 6.43/6.69 (define @t4767 () (@list @t4703 @t4704 @t8)) % 6.43/6.69 (define @t4768 () (tptp.c_List_OremoveAll @t8 @t132)) % 6.43/6.69 (define @t4769 () (tptp.hAPP @t4768 @t4704)) % 6.43/6.69 (define @t4770 () (tptp.hAPP @t4752 @t4522)) % 6.43/6.69 (define @t4771 () (tptp.hAPP @t1385 @t4554)) % 6.43/6.69 (define @t4772 () (= @t4771 @t4770)) % 6.43/6.69 (define @t4773 () (= @t4521 @t4719)) % 6.43/6.69 (define @t4774 () (tptp.hAPP @t4750 @t4521)) % 6.43/6.69 (define @t4775 () (= @t4770 @t4774)) % 6.43/6.69 (define @t4776 () (@list @t4521 @t47 @t4522 @t8)) % 6.43/6.69 (define @t4777 () (tptp.hBOOL (tptp.hAPP @t2103 @t4770))) % 6.43/6.69 (define @t4778 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1623 @t4514)) % 6.43/6.69 (define @t4779 () (tptp.hAPP (tptp.hAPP @t4778 tptp.c_fequal) @t4752)) % 6.43/6.69 (define @t4780 () (tptp.c_COMBC @t4514 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4781 () (tptp.hAPP @t4780 @t4779)) % 6.43/6.69 (define @t4782 () (tptp.hAPP @t4781 @t692)) % 6.43/6.69 (define @t4783 () (tptp.c_COMBB @t55 @t1336 @t4514)) % 6.43/6.69 (define @t4784 () (tptp.c_COMBC @t4514 @t55 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4785 () (tptp.hAPP @t4784 (tptp.hAPP (tptp.hAPP @t4783 @t169) @t4553))) % 6.43/6.69 (define @t4786 () (tptp.hAPP @t4785 @t51)) % 6.43/6.69 (define @t4787 () (tptp.c_COMBB tptp.tc_HOL_Obool @t525 @t4514)) % 6.43/6.69 (define @t4788 () (tptp.hAPP @t4787 tptp.c_fconj)) % 6.43/6.69 (define @t4789 () (tptp.c_COMBS @t4514 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4790 () (tptp.hAPP @t4789 (tptp.hAPP @t4788 @t4786))) % 6.43/6.69 (define @t4791 () (tptp.c_Set_OCollect @t4514)) % 6.43/6.69 (define @t4792 () (@list @t692 @t51 @t8)) % 6.43/6.69 (define @t4793 () (tptp.hAPP @t2254 @t4731)) % 6.43/6.69 (define @t4794 () (tptp.hAPP @t4793 @t61)) % 6.43/6.69 (define @t4795 () (@list @t61 @t4521 @t47 @t4522 @t8)) % 6.43/6.69 (define @t4796 () (tptp.hAPP @t618 @t42)) % 6.43/6.69 (define @t4797 () (tptp.hAPP @t4752 @t4694)) % 6.43/6.69 (define @t4798 () (tptp.hAPP @t1425 @t4770)) % 6.43/6.69 (define @t4799 () (tptp.hAPP @t1642 (tptp.hAPP @t1641 @t4798))) % 6.43/6.69 (define @t4800 () (tptp.hAPP @t4799 (tptp.hAPP @t2324 @t1085))) % 6.43/6.69 (define @t4801 () (tptp.c_List_Osublist @t8 @t4522 @t1085)) % 6.43/6.69 (define @t4802 () (@list @t1085 @t4522 @t8)) % 6.43/6.69 (define @t4803 () (tptp.hAPP (tptp.hAPP @t1983 @t4770) @t4774)) % 6.43/6.69 (define @t4804 () (tptp.c_List_Onth @t47)) % 6.43/6.69 (define @t4805 () (tptp.hAPP @t4804 @t4521)) % 6.43/6.69 (define @t4806 () (tptp.c_List_Onth @t8)) % 6.43/6.69 (define @t4807 () (tptp.hAPP @t4806 @t4522)) % 6.43/6.69 (define @t4808 () (tptp.tc_fun tptp.tc_Nat_Onat @t1469)) % 6.43/6.69 (define @t4809 () (tptp.tc_fun tptp.tc_Nat_Onat @t525)) % 6.43/6.69 (define @t4810 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t4811 () (tptp.c_List_Olinorder__class_Oinsort__key @t8 @t8 @t145)) % 6.43/6.69 (define @t4812 () (tptp.hAPP @t4811 @t61)) % 6.43/6.69 (define @t4813 () (tptp.hAPP @t4806 @t4704)) % 6.43/6.69 (define @t4814 () (tptp.hAPP @t4813 @t1165)) % 6.43/6.69 (define @t4815 () (tptp.hBOOL (tptp.hAPP @t1248 @t4762))) % 6.43/6.69 (define @t4816 () (tptp.hAPP @t4806 @t4521)) % 6.43/6.69 (define @t4817 () (tptp.hAPP @t4807 @t2734)) % 6.43/6.69 (define @t4818 () (tptp.hBOOL (tptp.hAPP @t3477 @t4770))) % 6.43/6.69 (define @t4819 () (= @t4770 @t4754)) % 6.43/6.69 (define @t4820 () (@list @t8 @t4521 @t4522)) % 6.43/6.69 (define @t4821 () (tptp.hAPP @t4812 @t4522)) % 6.43/6.69 (define @t4822 () (tptp.hAPP @t4811 @t64)) % 6.43/6.69 (define @t4823 () (tptp.c_List_Olinorder__class_Oinsort__key @t47 @t8 @t2)) % 6.43/6.69 (define @t4824 () (tptp.hAPP @t4823 @t64)) % 6.43/6.69 (define @t4825 () (tptp.hAPP @t4823 @t61)) % 6.43/6.69 (define @t4826 () (tptp.hAPP @t4825 @t4522)) % 6.43/6.69 (define @t4827 () (tptp.c_List_Olinorder__class_Oinsort__key @t8 @t47 @t2)) % 6.43/6.69 (define @t4828 () (tptp.hAPP @t4827 @t61)) % 6.43/6.69 (define @t4829 () (tptp.hAPP @t4828 @t4522)) % 6.43/6.69 (define @t4830 () (tptp.class_Orderings_Olinorder @t47)) % 6.43/6.69 (define @t4831 () (@list @t4522 @t61 @t2 @t8 @t47)) % 6.43/6.69 (define @t4832 () (tptp.hAPP tptp.c_Nat_OSuc @t4770)) % 6.43/6.69 (define @t4833 () (tptp.hAPP @t136 @t4817)) % 6.43/6.69 (define @t4834 () (tptp.hBOOL @t4833)) % 6.43/6.69 (define @t4835 () (=> @t4818 @t4834)) % 6.43/6.69 (define @t4836 () (forall @t2737 @t4835)) % 6.43/6.69 (define @t4837 () (tptp.hBOOL (tptp.hAPP @t232 @t4554))) % 6.43/6.69 (define @t4838 () (forall @t7 (=> @t4837 @t231))) % 6.43/6.69 (define @t4839 () (@list @t136 @t4522 @t8)) % 6.43/6.69 (define @t4840 () (tptp.hAPP @t4807 @t692)) % 6.43/6.69 (define @t4841 () (tptp.hBOOL (tptp.hAPP @t1303 @t4770))) % 6.43/6.69 (define @t4842 () (tptp.hAPP @t4807 @t1190)) % 6.43/6.69 (define @t4843 () (tptp.hAPP @t4807 @t1034)) % 6.43/6.69 (define @t4844 () (tptp.hAPP @t1199 @t1190)) % 6.43/6.69 (define @t4845 () (tptp.hBOOL (tptp.hAPP @t1270 @t4770))) % 6.43/6.69 (define @t4846 () (@list @t1190 @t1034 @t4522 @t8)) % 6.43/6.69 (define @t4847 () (tptp.hAPP @t4807 @t2248)) % 6.43/6.69 (define @t4848 () (tptp.hBOOL (tptp.hAPP @t2249 @t4770))) % 6.43/6.69 (define @t4849 () (tptp.c_COMBB @t8 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t4850 () (tptp.tc_fun tptp.tc_Nat_Onat @t8)) % 6.43/6.69 (define @t4851 () (tptp.hAPP (tptp.c_COMBC @t8 @t1623 @t1623) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4809 @t4188 @t8) @t1642) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1623 @t4809 @t8) @t1641) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4850 @t1623) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 (tptp.tc_fun @t4850 @t1623) @t8) @t4849) tptp.c_fequal)) @t4807))))) % 6.43/6.69 (define @t4852 () (tptp.hAPP (tptp.c_COMBB @t1623 tptp.tc_HOL_Obool @t8) @t4810)) % 6.43/6.69 (define @t4853 () (tptp.hAPP @t4553 @t4801)) % 6.43/6.69 (define @t4854 () (tptp.hBOOL (tptp.hAPP @t155 @t4853))) % 6.43/6.69 (define @t4855 () (@list @t1085 @t4522 @t61 @t8)) % 6.43/6.69 (define @t4856 () (and @t4702 @t4696)) % 6.43/6.69 (define @t4857 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t47 @t8 @t2 @t61 @t4522)) % 6.43/6.69 (define @t4858 () (tptp.hBOOL (tptp.hAPP @t1532 @t4565))) % 6.43/6.69 (define @t4859 () (@list @t4522 @t47 @t61 @t2 @t8)) % 6.43/6.69 (define @t4860 () (tptp.c_List_Olist__update @t8 @t4522)) % 6.43/6.69 (define @t4861 () (tptp.hAPP @t4860 @t1034)) % 6.43/6.69 (define @t4862 () (tptp.c_List_Olist__update @t8 @t4704)) % 6.43/6.69 (define @t4863 () (tptp.hAPP @t4862 @t1165)) % 6.43/6.69 (define @t4864 () (tptp.hAPP @t4863 @t132)) % 6.43/6.69 (define @t4865 () (@list @t132 @t1165 @t4704 @t8)) % 6.43/6.69 (define @t4866 () (@list @t1165 @t4704 @t8)) % 6.43/6.69 (define @t4867 () (tptp.hAPP @t4813 @t1162)) % 6.43/6.69 (define @t4868 () (tptp.hAPP @t4806 @t4864)) % 6.43/6.69 (define @t4869 () (tptp.hAPP @t4868 @t1162)) % 6.43/6.69 (define @t4870 () (= @t1165 @t1162)) % 6.43/6.69 (define @t4871 () (=> (not @t4870) (= @t4869 @t4867))) % 6.43/6.69 (define @t4872 () (@var "V_xy" $$unsorted)) % 6.43/6.69 (define @t4873 () (tptp.hAPP (tptp.c_List_Olist__update @t47 @t4703) @t1165)) % 6.43/6.69 (define @t4874 () (tptp.hAPP (tptp.c_List_Olist__update @t1469 @t4706) @t1165)) % 6.43/6.69 (define @t4875 () (@var "V_x_H" $$unsorted)) % 6.43/6.69 (define @t4876 () (@var "V_i_H" $$unsorted)) % 6.43/6.69 (define @t4877 () (tptp.c_List_Olist__update @t8 @t4864)) % 6.43/6.69 (define @t4878 () (tptp.hAPP @t4863 @t210)) % 6.43/6.69 (define @t4879 () (tptp.hAPP @t1184 @t4762)) % 6.43/6.69 (define @t4880 () (tptp.hAPP @t4861 @t61)) % 6.43/6.69 (define @t4881 () (tptp.hAPP @t169 (tptp.hAPP @t4553 @t4880))) % 6.43/6.69 (define @t4882 () (tptp.hAPP @t169 @t4554)) % 6.43/6.69 (define @t4883 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t8 @t8 @t145 @t61 @t4522)) % 6.43/6.69 (define @t4884 () (tptp.c_List_Omonoid__add__class_Olistsum @t8)) % 6.43/6.69 (define @t4885 () (tptp.hAPP @t4884 @t4522)) % 6.43/6.69 (define @t4886 () (tptp.c_Map_Omap__upds @t8 @t47 @t337 @t4522 @t4521)) % 6.43/6.69 (define @t4887 () (@var "V_ns_2" $$unsorted)) % 6.43/6.69 (define @t4888 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t4889 () (tptp.hAPP @t4888 @t4887)) % 6.43/6.69 (define @t4890 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1635 @t4889)) (= @t3 @t2094)))) % 6.43/6.69 (define @t4891 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t4892 () (@var "V_ns" $$unsorted)) % 6.43/6.69 (define @t4893 () (tptp.hAPP @t4891 @t4892)) % 6.43/6.69 (define @t4894 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t4895 () (tptp.hAPP (tptp.hAPP @t4894 @t4892) @t1161)) % 6.43/6.69 (define @t4896 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t4897 () (tptp.c_Nat_Osize__class_Osize @t4896)) % 6.43/6.69 (define @t4898 () (tptp.hBOOL (tptp.hAPP @t1251 (tptp.hAPP @t4897 @t4892)))) % 6.43/6.69 (define @t4899 () (tptp.c_Map_Omap__upds @t8 @t47 @t2 @t4522 @t4521)) % 6.43/6.69 (define @t4900 () (tptp.hAPP @t4884 @t4567)) % 6.43/6.69 (define @t4901 () (tptp.hAPP @t4884 @t4531)) % 6.43/6.69 (define @t4902 () (@list @t4522 @t1 @t2 @t47 @t8)) % 6.43/6.69 (define @t4903 () (tptp.c_List_Omonoid__add__class_Olistsum @t47)) % 6.43/6.69 (define @t4904 () (tptp.hAPP @t4903 @t4525)) % 6.43/6.69 (define @t4905 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t8) @t2)) % 6.43/6.69 (define @t4906 () (tptp.c_List_Oupto @t690 @t1653)) % 6.43/6.69 (define @t4907 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t47 @t4521) @t1034) @t64)) % 6.43/6.69 (define @t4908 () (tptp.hBOOL (tptp.hAPP @t1270 @t4774))) % 6.43/6.69 (define @t4909 () (tptp.hAPP @t1184 @t4770)) % 6.43/6.69 (define @t4910 () (tptp.hAPP @t618 @t109)) % 6.43/6.69 (define @t4911 () (@var "V_bs_2" $$unsorted)) % 6.43/6.69 (define @t4912 () (@var "V_as_2" $$unsorted)) % 6.43/6.69 (define @t4913 () (tptp.c_Map_Omap__upds @t8 @t47 (tptp.hAPP @t697 @t4910) @t4912 @t4911)) % 6.43/6.69 (define @t4914 () (tptp.hAPP @t4553 @t4912)) % 6.43/6.69 (define @t4915 () (tptp.c_Nitpick_Osetsum_H @t8 @t47 @t2 @t51)) % 6.43/6.69 (define @t4916 () (tptp.c_Hilbert__Choice_OEps @t4514 (tptp.hAPP (tptp.hAPP @t4789 (tptp.hAPP @t4788 (tptp.hAPP (tptp.hAPP @t4784 (tptp.hAPP (tptp.hAPP @t4783 tptp.c_fequal) @t4553)) @t51))) @t4672))) % 6.43/6.69 (define @t4917 () (tptp.class_Groups_Omonoid__add @t47)) % 6.43/6.69 (define @t4918 () (tptp.c_Hilbert__Choice_OEps @t8 @t136)) % 6.43/6.69 (define @t4919 () (tptp.hBOOL (tptp.hAPP @t136 @t4918))) % 6.43/6.69 (define @t4920 () (@var "B_P" $$unsorted)) % 6.43/6.69 (define @t4921 () (tptp.hAPP @t521 @t61)) % 6.43/6.69 (define @t4922 () (@list @t8 @t136)) % 6.43/6.69 (define @t4923 () (tptp.c_Nitpick_Ocard_H @t8 @t51)) % 6.43/6.69 (define @t4924 () (tptp.c_List_Olist_Olist__size @t8 @t2 @t4522)) % 6.43/6.69 (define @t4925 () (@list @t4522 @t2 @t8)) % 6.43/6.69 (define @t4926 () (tptp.c_Map_Omap__upds @t8 @t47 (tptp.hAPP @t1290 @t691) @t4522 @t4521)) % 6.43/6.69 (define @t4927 () (tptp.c_List_Otake @t8)) % 6.43/6.69 (define @t4928 () (tptp.hAPP @t4553 (tptp.hAPP (tptp.hAPP @t4927 @t4774) @t4522))) % 6.43/6.69 (define @t4929 () (tptp.hBOOL (tptp.hAPP @t155 @t4928))) % 6.43/6.69 (define @t4930 () (tptp.c_List_Otake @t47)) % 6.43/6.69 (define @t4931 () (tptp.hAPP @t4927 @t1153)) % 6.43/6.69 (define @t4932 () (tptp.hAPP @t4931 @t4704)) % 6.43/6.69 (define @t4933 () (@list @t4703 @t4704 @t1153 @t47 @t8)) % 6.43/6.69 (define @t4934 () (tptp.hAPP (tptp.hAPP @t4927 @t1152) @t4704)) % 6.43/6.69 (define @t4935 () (@list @t4704 @t1152 @t1153 @t8)) % 6.43/6.69 (define @t4936 () (tptp.hAPP @t4927 @t1165)) % 6.43/6.69 (define @t4937 () (tptp.hAPP @t4936 @t4704)) % 6.43/6.69 (define @t4938 () (tptp.hBOOL (tptp.hAPP @t1248 @t1153))) % 6.43/6.69 (define @t4939 () (@list @t4704 @t1153 @t8)) % 6.43/6.69 (define @t4940 () (tptp.hAPP @t4930 @t692)) % 6.43/6.69 (define @t4941 () (tptp.hAPP @t4927 @t692)) % 6.43/6.69 (define @t4942 () (@list @t4522 @t2 @t47 @t692 @t8)) % 6.43/6.69 (define @t4943 () (tptp.hAPP @t4941 @t4522)) % 6.43/6.69 (define @t4944 () (tptp.hAPP @t4553 @t4943)) % 6.43/6.69 (define @t4945 () (@list @t4522 @t692 @t8)) % 6.43/6.69 (define @t4946 () (@list @t4522 @t692 @t61 @t8)) % 6.43/6.69 (define @t4947 () (tptp.hBOOL (tptp.hAPP @t4879 @t1153))) % 6.43/6.69 (define @t4948 () (@list @t1153 @t4704 @t8)) % 6.43/6.69 (define @t4949 () (@list @t4521 @t4522 @t337 @t47 @t8)) % 6.43/6.69 (define @t4950 () (tptp.hAPP @t1199 @t64)) % 6.43/6.69 (define @t4951 () (@list @t2 @t64 @t4522 @t61 @t8)) % 6.43/6.69 (define @t4952 () (tptp.hAPP @t4927 @t2734)) % 6.43/6.69 (define @t4953 () (tptp.hAPP @t4752 @t64)) % 6.43/6.69 (define @t4954 () (tptp.hAPP @t4752 @t61)) % 6.43/6.69 (define @t4955 () (tptp.c_List_Olexord @t8 @t1449)) % 6.43/6.69 (define @t4956 () (tptp.c_Product__Type_OPair @t4514 @t4514)) % 6.43/6.69 (define @t4957 () (tptp.hAPP @t4956 @t61)) % 6.43/6.69 (define @t4958 () (tptp.tc_prod @t4514 @t4514)) % 6.43/6.69 (define @t4959 () (tptp.c_member @t4958)) % 6.43/6.69 (define @t4960 () (tptp.hAPP @t4959 (tptp.hAPP @t4957 @t64))) % 6.43/6.69 (define @t4961 () (tptp.hBOOL (tptp.hAPP @t4960 @t4955))) % 6.43/6.69 (define @t4962 () (@list @t1449 @t64 @t61 @t8)) % 6.43/6.69 (define @t4963 () (tptp.hAPP @t4807 @t1714)) % 6.43/6.69 (define @t4964 () (tptp.hAPP @t4073 @t4963)) % 6.43/6.69 (define @t4965 () (tptp.hAPP @t1199 @t1714)) % 6.43/6.69 (define @t4966 () (tptp.hBOOL (tptp.hAPP @t4965 @t4770))) % 6.43/6.69 (define @t4967 () (tptp.c_List_Olistrel @t8 @t1449)) % 6.43/6.69 (define @t4968 () (tptp.hAPP @t4956 @t4522)) % 6.43/6.69 (define @t4969 () (tptp.hAPP @t4959 (tptp.hAPP @t4968 @t4521))) % 6.43/6.69 (define @t4970 () (tptp.hBOOL (tptp.hAPP @t4969 @t4967))) % 6.43/6.69 (define @t4971 () (@list @t1449 @t4521 @t4522 @t8)) % 6.43/6.69 (define @t4972 () (= @t4954 @t4953)) % 6.43/6.69 (define @t4973 () (tptp.c_List_Olex @t8 @t1449)) % 6.43/6.69 (define @t4974 () (tptp.tc_fun @t4958 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4975 () (tptp.c_Orderings_Oord__class_Oless__eq @t4974)) % 6.43/6.69 (define @t4976 () (tptp.hAPP @t4975 @t4967)) % 6.43/6.69 (define @t4977 () (tptp.tc_fun @t4974 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4978 () (tptp.tc_fun @t4514 @t4977)) % 6.43/6.69 (define @t4979 () (tptp.tc_fun @t4514 @t4958)) % 6.43/6.69 (define @t4980 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t4514)) % 6.43/6.69 (define @t4981 () (tptp.tc_fun @t4514 tptp.tc_Nat_Onat)) % 6.43/6.69 (define @t4982 () (tptp.hAPP (tptp.c_COMBB @t1623 (tptp.tc_fun @t4981 @t4515) @t4514) @t4980)) % 6.43/6.69 (define @t4983 () (tptp.c_COMBC @t4514 @t4981 @t4515)) % 6.43/6.69 (define @t4984 () (tptp.hAPP (tptp.hAPP @t4983 (tptp.hAPP @t4982 @t4779)) @t4752)) % 6.43/6.69 (define @t4985 () (tptp.tc_fun @t4514 @t525)) % 6.43/6.69 (define @t4986 () (tptp.c_COMBB @t4515 @t4985 @t4514)) % 6.43/6.69 (define @t4987 () (tptp.tc_fun @t4515 @t4515)) % 6.43/6.69 (define @t4988 () (tptp.hAPP (tptp.c_COMBB @t4985 @t4987 @t4514) @t4789)) % 6.43/6.69 (define @t4989 () (tptp.c_COMBS @t4514 @t4515 @t4515)) % 6.43/6.69 (define @t4990 () (tptp.c_Product__Type_Oprod_Oprod__case @t4514 @t4514 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t4991 () (tptp.c_Set_OCollect @t4958)) % 6.43/6.69 (define @t4992 () (tptp.c_List_Olenlex @t8 @t1449)) % 6.43/6.69 (define @t4993 () (tptp.tc_prod tptp.tc_Nat_Onat @t4514)) % 6.43/6.69 (define @t4994 () (tptp.hAPP @t4076 @t3)) % 6.43/6.69 (define @t4995 () (tptp.hBOOL (tptp.hAPP @t4994 (tptp.hAPP @t4730 (tptp.hAPP @t4717 @t4521))))) % 6.43/6.69 (define @t4996 () (tptp.hBOOL @t1084)) % 6.43/6.69 (define @t4997 () (tptp.hAPP @t1048 (tptp.hAPP @t1605 (tptp.hAPP (tptp.hAPP @t1603 tptp.c_fimplies) (tptp.hAPP @t1451 @t51))))) % 6.43/6.69 (define @t4998 () (tptp.hAPP @t1695 (tptp.c_HOL_OAll @t47))) % 6.43/6.69 (define @t4999 () (tptp.hBOOL (tptp.hAPP @t4994 @t1449))) % 6.43/6.69 (define @t5000 () (tptp.hAPP @t4394 (tptp.hAPP @t1435 (tptp.hAPP @t1517 @t1512)))) % 6.43/6.69 (define @t5001 () (tptp.hAPP @t493 (tptp.c_HOL_OAll @t8))) % 6.43/6.69 (define @t5002 () (tptp.tc_prod tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 6.43/6.69 (define @t5003 () (= @t4754 @t692)) % 6.43/6.69 (define @t5004 () (tptp.c_List_Olexn @t8 @t1449)) % 6.43/6.69 (define @t5005 () (tptp.hAPP @t5004 @t692)) % 6.43/6.69 (define @t5006 () (forall @t7 (=> @t234 @t4078))) % 6.43/6.69 (define @t5007 () (tptp.c_Relation_Orefl__on @t8 @t51 @t1449)) % 6.43/6.69 (define @t5008 () (tptp.hAPP (tptp.c_member @t9) @t3)) % 6.43/6.69 (define @t5009 () (tptp.hBOOL (tptp.hAPP @t5008 @t27))) % 6.43/6.69 (define @t5010 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t1714 @t3)) % 6.43/6.69 (define @t5011 () (tptp.c_Relation_Orefl__on @t8 @t77 @t1660)) % 6.43/6.69 (define @t5012 () (@list @t1660 @t77 @t1449 @t51 @t8)) % 6.43/6.69 (define @t5013 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4028)) % 6.43/6.69 (define @t5014 () (tptp.hAPP @t5013 @t1449)) % 6.43/6.69 (define @t5015 () (tptp.hAPP @t4076 (tptp.hAPP @t4242 @t13))) % 6.43/6.69 (define @t5016 () (tptp.hBOOL (tptp.hAPP @t5015 @t1449))) % 6.43/6.69 (define @t5017 () (tptp.hAPP @t4337 (tptp.hAPP @t4336 @t1449))) % 6.43/6.69 (define @t5018 () (tptp.c_Predicate_Oreflp @t8 @t1449)) % 6.43/6.69 (define @t5019 () (tptp.c_List_Olistrel1 @t8 @t1449)) % 6.43/6.69 (define @t5020 () (tptp.hAPP @t4975 @t5019)) % 6.43/6.69 (define @t5021 () (@list @t4352 @t1449 @t8)) % 6.43/6.69 (define @t5022 () (tptp.hAPP @t1449 @t61)) % 6.43/6.69 (define @t5023 () (tptp.hBOOL (tptp.hAPP @t4969 @t5019))) % 6.43/6.69 (define @t5024 () (tptp.hAPP @t4956 @t64)) % 6.43/6.69 (define @t5025 () (tptp.hAPP @t4073 @t476)) % 6.43/6.69 (define @t5026 () (@list @t64 @t61 @t1449 @t8)) % 6.43/6.69 (define @t5027 () (tptp.hAPP @t4927 @t2345)) % 6.43/6.69 (define @t5028 () (tptp.hAPP @t5027 @t4704)) % 6.43/6.69 (define @t5029 () (@list @t4704 @t8 @t1153)) % 6.43/6.69 (define @t5030 () (@list @t4522 @t2 @t8 @t47)) % 6.43/6.69 (define @t5031 () (tptp.c_List_Obutlast @t8 @t4522)) % 6.43/6.69 (define @t5032 () (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP @t4553 @t5031)))) % 6.43/6.69 (define @t5033 () (tptp.c_List_Obutlast @t8 @t4704)) % 6.43/6.69 (define @t5034 () (tptp.hBOOL (tptp.hAPP @t1307 @t4762))) % 6.43/6.69 (define @t5035 () (tptp.hAPP @t864 @t4762)) % 6.43/6.69 (define @t5036 () (tptp.hAPP @t5035 @t1615)) % 6.43/6.69 (define @t5037 () (@list @t4704 @t8)) % 6.43/6.69 (define @t5038 () (tptp.hAPP @t4862 @t1161)) % 6.43/6.69 (define @t5039 () (tptp.hAPP @t5038 @t132)) % 6.43/6.69 (define @t5040 () (tptp.c_List_Obutlast @t8 @t5039)) % 6.43/6.69 (define @t5041 () (= @t1161 @t5036)) % 6.43/6.69 (define @t5042 () (not @t5041)) % 6.43/6.69 (define @t5043 () (tptp.hAPP @t4927 @t1161)) % 6.43/6.69 (define @t5044 () (tptp.hAPP @t4806 @t4703)) % 6.43/6.69 (define @t5045 () (tptp.hAPP @t4813 @t2734)) % 6.43/6.69 (define @t5046 () (tptp.c_List_Olist_OCons @t8)) % 6.43/6.69 (define @t5047 () (tptp.hAPP @t5046 @t64)) % 6.43/6.69 (define @t5048 () (tptp.hAPP @t5047 @t4521)) % 6.43/6.69 (define @t5049 () (tptp.hAPP @t5046 @t61)) % 6.43/6.69 (define @t5050 () (tptp.hAPP @t5049 @t4522)) % 6.43/6.69 (define @t5051 () (tptp.hAPP @t4956 @t5050)) % 6.43/6.69 (define @t5052 () (tptp.hAPP @t4959 (tptp.hAPP @t5051 @t5048))) % 6.43/6.69 (define @t5053 () (@list @t1449 @t4521 @t64 @t4522 @t61 @t8)) % 6.43/6.69 (define @t5054 () (tptp.c_Wellfounded_Oacc @t4514 @t5019)) % 6.43/6.69 (define @t5055 () (tptp.c_member @t4514)) % 6.43/6.69 (define @t5056 () (tptp.hAPP @t5055 @t5050)) % 6.43/6.69 (define @t5057 () (tptp.hAPP @t5055 @t4522)) % 6.43/6.69 (define @t5058 () (tptp.hBOOL (tptp.hAPP @t5057 @t5054))) % 6.43/6.69 (define @t5059 () (tptp.hAPP @t1449 @t352)) % 6.43/6.69 (define @t5060 () (tptp.hBOOL (tptp.hAPP @t5059 @t354))) % 6.43/6.69 (define @t5061 () (tptp.hAPP @t5046 @t354)) % 6.43/6.69 (define @t5062 () (tptp.hAPP @t5046 @t352)) % 6.43/6.69 (define @t5063 () (tptp.c_List_Olist_OCons @t47)) % 6.43/6.69 (define @t5064 () (tptp.hAPP @t5063 @t61)) % 6.43/6.69 (define @t5065 () (tptp.hAPP @t5064 @t4522)) % 6.43/6.69 (define @t5066 () (tptp.hAPP (tptp.c_COMBB @t4514 @t4514 tptp.tc_Nat_Onat) @t5049)) % 6.43/6.69 (define @t5067 () (tptp.hAPP @t5046 @t132)) % 6.43/6.69 (define @t5068 () (tptp.hAPP @t5067 @t4704)) % 6.43/6.69 (define @t5069 () (tptp.c_List_Olist__update @t8 @t5068)) % 6.43/6.69 (define @t5070 () (tptp.hAPP @t5046 @t210)) % 6.43/6.69 (define @t5071 () (tptp.hAPP @t5070 @t4704)) % 6.43/6.69 (define @t5072 () (tptp.hAPP @t4884 @t4704)) % 6.43/6.69 (define @t5073 () (@list @t4704 @t132 @t8)) % 6.43/6.69 (define @t5074 () (tptp.hAPP @t4813 @t1153)) % 6.43/6.69 (define @t5075 () (tptp.hAPP @t4806 @t5068)) % 6.43/6.69 (define @t5076 () (tptp.hAPP @t4768 @t5071)) % 6.43/6.69 (define @t5077 () (@list @t4704 @t8 @t210 @t132)) % 6.43/6.69 (define @t5078 () (@list @t132 @t8 @t4704)) % 6.43/6.69 (define @t5079 () (@var "V_list_H_2" $$unsorted)) % 6.43/6.69 (define @t5080 () (tptp.hAPP @t5046 @t13)) % 6.43/6.69 (define @t5081 () (tptp.hAPP @t5080 @t4574)) % 6.43/6.69 (define @t5082 () (tptp.c_List_Ofoldr @t47 @t8 @t2 @t4522 @t13)) % 6.43/6.69 (define @t5083 () (tptp.c_List_Oremove1 @t8 @t132 @t5071)) % 6.43/6.69 (define @t5084 () (tptp.hAPP @t4927 @t1716)) % 6.43/6.69 (define @t5085 () (@list @t4704 @t132 @t1153 @t8)) % 6.43/6.69 (define @t5086 () (tptp.c_List_Olist_OCons @t1469)) % 6.43/6.69 (define @t5087 () (tptp.hAPP @t5063 @t64)) % 6.43/6.69 (define @t5088 () (tptp.hAPP @t5087 @t4521)) % 6.43/6.69 (define @t5089 () (tptp.hAPP @t4825 @t5088)) % 6.43/6.69 (define @t5090 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t67) @t927))) % 6.43/6.69 (define @t5091 () (tptp.hAPP @t5067 @t4703)) % 6.43/6.69 (define @t5092 () (tptp.hAPP @t4553 @t5050)) % 6.43/6.69 (define @t5093 () (@var "V_ps" $$unsorted)) % 6.43/6.69 (define @t5094 () (tptp.hAPP (tptp.hAPP @t4509 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t3956) (tptp.hAPP (tptp.hAPP @t3958 @t1238) @t2337)) @t5093)) @t1161)) % 6.43/6.69 (define @t5095 () (= @t1238 @t1161)) % 6.43/6.69 (define @t5096 () (tptp.hAPP @t4959 (tptp.hAPP @t5051 (tptp.hAPP @t5049 @t4521)))) % 6.43/6.69 (define @t5097 () (@list @t61 @t1449 @t4521 @t4522 @t8)) % 6.43/6.69 (define @t5098 () (@var "V_list" $$unsorted)) % 6.43/6.69 (define @t5099 () (tptp.hAPP @t5046 @t255)) % 6.43/6.69 (define @t5100 () (tptp.hAPP @t5075 @t1153)) % 6.43/6.69 (define @t5101 () (@list @t4704 @t132 @t8 @t1153)) % 6.43/6.69 (define @t5102 () (tptp.hAPP @t5075 @t3503)) % 6.43/6.69 (define @t5103 () (not @t3673)) % 6.43/6.69 (define @t5104 () (@list @t4704 @t132 @t8 @t2337)) % 6.43/6.69 (define @t5105 () (@list @t4521 @t4522 @t1449 @t64 @t61 @t8)) % 6.43/6.69 (define @t5106 () (tptp.hAPP (tptp.hAPP @t5046 @t109) @t64)) % 6.43/6.69 (define @t5107 () (tptp.hAPP @t5080 @t61)) % 6.43/6.69 (define @t5108 () (tptp.c_Orderings_Obot__class_Obot @t4515)) % 6.43/6.69 (define @t5109 () (tptp.c_Set_Oinsert @t4514)) % 6.43/6.69 (define @t5110 () (tptp.c_Relation_OImage @t4514 @t4514 @t4967)) % 6.43/6.69 (define @t5111 () (tptp.hAPP (tptp.c_COMBC @t4514 @t4515 tptp.tc_HOL_Obool) @t5055)) % 6.43/6.69 (define @t5112 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4514)) % 6.43/6.69 (define @t5113 () (tptp.tc_fun @t4514 @t4514)) % 6.43/6.69 (define @t5114 () (tptp.tc_fun @t5113 @t4515)) % 6.43/6.69 (define @t5115 () (tptp.tc_fun @t8 @t4515)) % 6.43/6.69 (define @t5116 () (tptp.tc_fun @t8 @t5113)) % 6.43/6.69 (define @t5117 () (tptp.tc_fun @t8 @t4985)) % 6.43/6.69 (define @t5118 () (tptp.tc_fun @t8 @t4987)) % 6.43/6.69 (define @t5119 () (tptp.hAPP @t4781 @t1780)) % 6.43/6.69 (define @t5120 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t4514 @t4514) @t5046)) % 6.43/6.69 (define @t5121 () (tptp.tc_prod @t8 @t4514)) % 6.43/6.69 (define @t5122 () (@list @t692 @t1449 @t8)) % 6.43/6.69 (define @t5123 () (@var "B_xs" $$unsorted)) % 6.43/6.69 (define @t5124 () (tptp.hAPP @t5046 @t3)) % 6.43/6.69 (define @t5125 () (tptp.hAPP @t5124 @t5123)) % 6.43/6.69 (define @t5126 () (tptp.c_Product__Type_Omap__pair @t8 @t106 @t47 @t4043 @t2 @t1)) % 6.43/6.69 (define @t5127 () (tptp.hAPP @t1 @t109)) % 6.43/6.69 (define @t5128 () (tptp.c_Product__Type_OPair @t106 @t4043)) % 6.43/6.69 (define @t5129 () (tptp.c_member @t4739)) % 6.43/6.69 (define @t5130 () (tptp.c_Product__Type_Omap__pair @t8 @t8 @t47 @t47 @t145 (tptp.c_COMBI @t47))) % 6.43/6.69 (define @t5131 () (tptp.c_Product__Type_Omap__pair @t106 @t8 @t4043 @t47 @t2 @t1)) % 6.43/6.69 (define @t5132 () (tptp.tc_prod @t4042 @t4655)) % 6.43/6.69 (define @t5133 () (@var "V_g2_2" $$unsorted)) % 6.43/6.69 (define @t5134 () (@var "V_g1_2" $$unsorted)) % 6.43/6.69 (define @t5135 () (@var "V_prod_2" $$unsorted)) % 6.43/6.69 (define @t5136 () (tptp.tc_fun @t4043 @t4739)) % 6.43/6.69 (define @t5137 () (tptp.tc_fun @t47 @t4739)) % 6.43/6.69 (define @t5138 () (tptp.tc_fun @t47 @t4043)) % 6.43/6.69 (define @t5139 () (tptp.tc_fun @t4508 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t5140 () (tptp.c_Set_Oimage @t4729 @t4508 (tptp.c_Product__Type_Omap__pair @t47 @t8 @t4043 @t106 @t2 @t1))) % 6.43/6.69 (define @t5141 () (tptp.tc_fun @t4043 tptp.tc_HOL_Obool)) % 6.43/6.69 (define @t5142 () (tptp.c_Set_Oimage @t4043 @t106 @t1)) % 6.43/6.69 (define @t5143 () (@var "B_ys" $$unsorted)) % 6.43/6.69 (define @t5144 () (tptp.hAPP @t4956 @t4521)) % 6.43/6.69 (define @t5145 () (tptp.hAPP @t5046 @t42)) % 6.43/6.69 (define @t5146 () (tptp.hAPP @t3930 @t18)) % 6.43/6.69 (define @t5147 () (tptp.hBOOL (tptp.hAPP @t5057 (tptp.c_List_Olists @t8 @t4559)))) % 6.43/6.69 (define @t5148 () (@list @t1449 @t4522 @t8)) % 6.43/6.69 (define @t5149 () (tptp.c_List_Olists @t8 @t77)) % 6.43/6.69 (define @t5150 () (tptp.c_List_Olists @t8 @t51)) % 6.43/6.69 (define @t5151 () (tptp.c_Orderings_Oord__class_Oless__eq @t4515)) % 6.43/6.69 (define @t5152 () (tptp.hBOOL (tptp.hAPP @t5057 @t5150))) % 6.43/6.69 (define @t5153 () (@list @t51 @t4522 @t8)) % 6.43/6.69 (define @t5154 () (tptp.tc_fun @t778 @t778)) % 6.43/6.69 (define @t5155 () (tptp.c_Product__Type_OSigma @t8 @t47)) % 6.43/6.69 (define @t5156 () (tptp.hAPP (tptp.hAPP @t4927 @t3503) @t5068)) % 6.43/6.69 (define @t5157 () (tptp.c_List_Olist_ONil @t8)) % 6.43/6.69 (define @t5158 () (tptp.hAPP @t5155 @t51)) % 6.43/6.69 (define @t5159 () (tptp.hAPP @t5158 @t77)) % 6.43/6.69 (define @t5160 () (tptp.hBOOL (tptp.hAPP @t3991 @t5159))) % 6.43/6.69 (define @t5161 () (= @t4522 @t5157)) % 6.43/6.69 (define @t5162 () (tptp.hAPP @t4956 @t5157)) % 6.43/6.69 (define @t5163 () (tptp.hAPP @t4959 (tptp.hAPP @t5162 @t4522))) % 6.43/6.69 (define @t5164 () (tptp.hAPP @t4959 (tptp.hAPP @t4968 @t5157))) % 6.43/6.69 (define @t5165 () (tptp.c_COMBK @t55 @t8)) % 6.43/6.69 (define @t5166 () (tptp.c_Product__Type_OSigma @t8 @t8)) % 6.43/6.69 (define @t5167 () (tptp.hAPP (tptp.hAPP @t5166 @t51) (tptp.hAPP @t5165 @t51))) % 6.43/6.69 (define @t5168 () (tptp.hBOOL (tptp.hAPP @t4383 @t5167))) % 6.43/6.69 (define @t5169 () (@list @t51 @t1449 @t8)) % 6.43/6.69 (define @t5170 () (tptp.hAPP @t5155 @t1085)) % 6.43/6.69 (define @t5171 () (tptp.hAPP @t5170 @t77)) % 6.43/6.69 (define @t5172 () (tptp.hAPP @t5170 @t51)) % 6.43/6.69 (define @t5173 () (tptp.c_COMBS @t8 @t48 @t48)) % 6.43/6.69 (define @t5174 () (tptp.hAPP @t1079 @t225)) % 6.43/6.69 (define @t5175 () (tptp.hAPP @t5155 @t77)) % 6.43/6.69 (define @t5176 () (tptp.hAPP @t5175 @t5174)) % 6.43/6.69 (define @t5177 () (tptp.hAPP @t5158 @t5174)) % 6.43/6.69 (define @t5178 () (@list @t225 @t77 @t51 @t47 @t8)) % 6.43/6.69 (define @t5179 () (tptp.hAPP (tptp.hAPP @t5155 @t1120) @t225)) % 6.43/6.69 (define @t5180 () (tptp.hAPP @t5170 @t225)) % 6.43/6.69 (define @t5181 () (@list @t225 @t1120 @t1085 @t47 @t8)) % 6.43/6.69 (define @t5182 () (tptp.c_COMBK @t778 @t47)) % 6.43/6.69 (define @t5183 () (tptp.c_Product__Type_OSigma @t47 @t106)) % 6.43/6.69 (define @t5184 () (tptp.hAPP (tptp.hAPP @t5183 @t51) (tptp.hAPP @t5182 @t77))) % 6.43/6.69 (define @t5185 () (tptp.hAPP @t1079 @t77)) % 6.43/6.69 (define @t5186 () (tptp.hAPP @t5158 @t5185)) % 6.43/6.69 (define @t5187 () (tptp.hBOOL (tptp.hAPP @t1472 @t5186))) % 6.43/6.69 (define @t5188 () (tptp.c_List_Olist_ONil @t47)) % 6.43/6.69 (define @t5189 () (tptp.hAPP @t4827 @t13)) % 6.43/6.69 (define @t5190 () (tptp.hAPP @t5189 @t4522)) % 6.43/6.69 (define @t5191 () (tptp.c_List_Olist_ONil @t1469)) % 6.43/6.69 (define @t5192 () (tptp.c_Groups_Ominus__class_Ominus @t1470)) % 6.43/6.69 (define @t5193 () (tptp.c_Finite__Set_Ocard @t1469)) % 6.43/6.69 (define @t5194 () (tptp.hAPP @t5155 @t1407)) % 6.43/6.69 (define @t5195 () (tptp.hAPP @t1079 @t51)) % 6.43/6.69 (define @t5196 () (tptp.c_Groups_Ouminus__class_Ouminus @t1470)) % 6.43/6.69 (define @t5197 () (tptp.hAPP @t1079 @t1455)) % 6.43/6.69 (define @t5198 () (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5157) @t1165)) % 6.43/6.69 (define @t5199 () (= @t4522 @t5188)) % 6.43/6.69 (define @t5200 () (tptp.c_List_Obutlast @t8 @t5068)) % 6.43/6.69 (define @t5201 () (= @t4704 @t5157)) % 6.43/6.69 (define @t5202 () (not @t5201)) % 6.43/6.69 (define @t5203 () (tptp.hAPP @t1082 @t225)) % 6.43/6.69 (define @t5204 () (tptp.c_Product__Type_OSigma @t47 @t8)) % 6.43/6.69 (define @t5205 () (tptp.hAPP (tptp.hAPP @t5204 @t77) @t5203)) % 6.43/6.69 (define @t5206 () (tptp.hAPP @t5204 @t51)) % 6.43/6.69 (define @t5207 () (tptp.hAPP @t5206 @t5203)) % 6.43/6.69 (define @t5208 () (tptp.hBOOL (tptp.hAPP @t155 @t225))) % 6.43/6.69 (define @t5209 () (@list @t77 @t51 @t47 @t225 @t61 @t8)) % 6.43/6.69 (define @t5210 () (tptp.hAPP @t5049 @t5157)) % 6.43/6.69 (define @t5211 () (@var "V_list_H" $$unsorted)) % 6.43/6.69 (define @t5212 () (tptp.hAPP (tptp.hAPP @t5046 @t981) @t5211)) % 6.43/6.69 (define @t5213 () (@list @t5211 @t981 @t8)) % 6.43/6.69 (define @t5214 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 6.43/6.69 (define @t5215 () (= @t4687 @t5214)) % 6.43/6.69 (define @t5216 () (@list @t8 @t4704)) % 6.43/6.69 (define @t5217 () (@list @t77 @t51 @t109 @t13 @t47 @t8)) % 6.43/6.69 (define @t5218 () (@var "V_x_1" $$unsorted)) % 6.43/6.69 (define @t5219 () (tptp.hAPP @t324 @t51)) % 6.43/6.69 (define @t5220 () (tptp.c_Orderings_Oord__class_Oless__eq @t4327)) % 6.43/6.69 (define @t5221 () (not @t5161)) % 6.43/6.69 (define @t5222 () (tptp.hAPP @t3943 @t1449)) % 6.43/6.69 (define @t5223 () (tptp.hBOOL (tptp.hAPP @t5222 @t5186))) % 6.43/6.69 (define @t5224 () (tptp.hAPP @t5155 @t1390)) % 6.43/6.69 (define @t5225 () (tptp.hAPP @t3905 @t1434)) % 6.43/6.69 (define @t5226 () (@list @t135 @t136 @t47 @t8)) % 6.43/6.69 (define @t5227 () (tptp.hAPP @t5206 (tptp.hAPP @t1082 @t77))) % 6.43/6.69 (define @t5228 () (tptp.hAPP @t4646 @t5227)) % 6.43/6.69 (define @t5229 () (tptp.hAPP @t4670 @t5186)) % 6.43/6.69 (define @t5230 () (tptp.hAPP @t5067 @t5157)) % 6.43/6.69 (define @t5231 () (tptp.hAPP @t5162 @t5157)) % 6.43/6.69 (define @t5232 () (@var "V_B_H_2" $$unsorted)) % 6.43/6.69 (define @t5233 () (tptp.c_COMBK @t778 @t8)) % 6.43/6.69 (define @t5234 () (tptp.c_Product__Type_OSigma @t8 @t106)) % 6.43/6.69 (define @t5235 () (tptp.hAPP (tptp.c_COMBC @t8 @t47 @t1469) @t3927)) % 6.43/6.69 (define @t5236 () (tptp.hAPP @t5155 @t90)) % 6.43/6.69 (define @t5237 () (tptp.hAPP @t1079 (tptp.hAPP @t4544 @t77))) % 6.43/6.69 (define @t5238 () (tptp.c_Set_Oinsert @t1469)) % 6.43/6.69 (define @t5239 () (tptp.hAPP @t5238 @t3990)) % 6.43/6.69 (define @t5240 () (tptp.hBOOL (tptp.hAPP @t359 @t157))) % 6.43/6.69 (define @t5241 () (tptp.hAPP @t5234 @t51)) % 6.43/6.69 (define @t5242 () (@var "V_E_2" $$unsorted)) % 6.43/6.69 (define @t5243 () (tptp.tc_fun @t3938 @t1470)) % 6.43/6.69 (define @t5244 () (tptp.tc_fun @t4043 @t1470)) % 6.43/6.69 (define @t5245 () (tptp.tc_fun @t4043 @t3938)) % 6.43/6.69 (define @t5246 () (tptp.tc_fun @t1470 @t1470)) % 6.43/6.69 (define @t5247 () (tptp.tc_fun @t47 @t5246)) % 6.43/6.69 (define @t5248 () (tptp.tc_fun @t47 @t1470)) % 6.43/6.69 (define @t5249 () (tptp.c_COMBC tptp.tc_Nat_Onat @t4514 @t4514)) % 6.43/6.69 (define @t5250 () (@list @t4522 @t61 @t692 @t8)) % 6.43/6.69 (define @t5251 () (tptp.hAPP @t2589 @t2453)) % 6.43/6.69 (define @t5252 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 6.43/6.69 (define @t5253 () (tptp.c_List_Osublist @t8 @t5210 @t51)) % 6.43/6.69 (define @t5254 () (tptp.hAPP @t2331 @t51)) % 6.43/6.69 (define @t5255 () (tptp.hBOOL @t5254)) % 6.43/6.69 (define @t5256 () (tptp.hAPP (tptp.hAPP @t5109 @t5157) @t5108)) % 6.43/6.69 (define @t5257 () (tptp.hAPP @t4931 @t5068)) % 6.43/6.69 (define @t5258 () (tptp.hAPP @t3514 @t1152)) % 6.43/6.69 (define @t5259 () (tptp.c_List_Oupto @t5258 @t3832)) % 6.43/6.69 (define @t5260 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t5258) @t3832))) % 6.43/6.69 (define @t5261 () (tptp.c_COMBC @t8 @t4514 @t4514)) % 6.43/6.69 (define @t5262 () (tptp.hAPP @t5261 @t5046)) % 6.43/6.69 (define @t5263 () (tptp.hAPP @t5262 @t5157)) % 6.43/6.69 (define @t5264 () (tptp.hBOOL (tptp.hAPP @t2858 @t1190))) % 6.43/6.69 (define @t5265 () (tptp.c_Wellfounded_Oaccp @t3899 tptp.c_List_Oupto__rel)) % 6.43/6.69 (define @t5266 () (tptp.hAPP (tptp.hAPP @t3882 @t690) @t3881)) % 6.43/6.69 (define @t5267 () (tptp.c_Lazy__Sequence_Oanamorph @t47 @t8 @t2)) % 6.43/6.69 (define @t5268 () (tptp.c_Product__Type_OPair @t4514 @t47)) % 6.43/6.69 (define @t5269 () (tptp.tc_prod @t4514 @t47)) % 6.43/6.69 (define @t5270 () (tptp.tc_fun @t47 @t5269)) % 6.43/6.69 (define @t5271 () (tptp.tc_fun @t4514 @t5270)) % 6.43/6.69 (define @t5272 () (tptp.tc_fun @t5269 @t5269)) % 6.43/6.69 (define @t5273 () (tptp.hAPP (tptp.hAPP @t5268 @t5157) @t61)) % 6.43/6.69 (define @t5274 () (tptp.hAPP (tptp.hAPP @t5267 @t690) @t61)) % 6.43/6.69 (define @t5275 () (= @t690 @t3866)) % 6.43/6.69 (define @t5276 () (not @t5275)) % 6.43/6.69 (define @t5277 () (@list @t61 @t2 @t8 @t47 @t690)) % 6.43/6.69 (define @t5278 () (tptp.tc_fun @t4764 @t4764)) % 6.43/6.69 (define @t5279 () (tptp.tc_fun @t4519 @t4764)) % 6.43/6.69 (define @t5280 () (@list @t4521 @t4522 @t61 @t47 @t8)) % 6.43/6.69 (define @t5281 () (tptp.c_List_Olist_Olist__case @t8 @t47 @t456 @t616)) % 6.43/6.69 (define @t5282 () (@var "V_As_2" $$unsorted)) % 6.43/6.69 (define @t5283 () (tptp.tc_fun @t4514 @t4764)) % 6.43/6.69 (define @t5284 () (tptp.tc_fun @t106 @t106)) % 6.43/6.69 (define @t5285 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1609 @t1609) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5284 (tptp.tc_fun @t1609 @t1609) @t8) (tptp.c_COMBB @t106 @t106 @t47)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t106 @t5284 @t8) @t4643) @t2))) @t1)) % 6.43/6.69 (define @t5286 () (tptp.tc_fun @t1609 @t48)) % 6.43/6.69 (define @t5287 () (tptp.tc_fun @t8 @t1609)) % 6.43/6.69 (define @t5288 () (tptp.tc_fun @t47 @t525)) % 6.43/6.69 (define @t5289 () (tptp.tc_fun @t8 @t5288)) % 6.43/6.69 (define @t5290 () (tptp.tc_fun @t8 @t716)) % 6.43/6.69 (define @t5291 () (tptp.c_Fun_Oid @t1469)) % 6.43/6.69 (define @t5292 () (tptp.c_Fun_Oid @t47)) % 6.43/6.69 (define @t5293 () (tptp.c_Fun_Oid @t8)) % 6.43/6.69 (define @t5294 () (tptp.c_Fun_Oid @t4514)) % 6.43/6.69 (define @t5295 () (tptp.c_Fun_Oid @t687)) % 6.43/6.69 (define @t5296 () (tptp.c_Option_Omap @t8 @t8)) % 6.43/6.69 (define @t5297 () (tptp.c_Fun_Ocomp @t47 @t47 @t8 @t5292)) % 6.43/6.69 (define @t5298 () (tptp.c_Set_Oimage @t8 @t8 @t5293)) % 6.43/6.69 (define @t5299 () (@list @t77 @t2 @t8 @t47)) % 6.43/6.69 (define @t5300 () (@list @t2 @t77 @t47 @t51 @t8 @t106)) % 6.43/6.69 (define @t5301 () (tptp.c_Groups_Oone__class_Oone @t106)) % 6.43/6.69 (define @t5302 () (tptp.c_List_Oappend @t8)) % 6.43/6.69 (define @t5303 () (tptp.hAPP @t5302 @t4522)) % 6.43/6.69 (define @t5304 () (tptp.hAPP @t5303 @t5210)) % 6.43/6.69 (define @t5305 () (tptp.hAPP @t5047 @t5157)) % 6.43/6.69 (define @t5306 () (tptp.hAPP @t5302 @t4521)) % 6.43/6.69 (define @t5307 () (tptp.hAPP @t5306 @t5305)) % 6.43/6.69 (define @t5308 () (@var "B_ys_H" $$unsorted)) % 6.43/6.69 (define @t5309 () (tptp.hAPP (tptp.hAPP @t5302 @t5308) @t4719)) % 6.43/6.69 (define @t5310 () (tptp.hAPP @t5049 @t5308)) % 6.43/6.69 (define @t5311 () (@list @t5308)) % 6.43/6.69 (define @t5312 () (= @t4521 @t5157)) % 6.43/6.69 (define @t5313 () (tptp.hAPP @t5306 @t4719)) % 6.43/6.69 (define @t5314 () (tptp.hAPP (tptp.hAPP @t5302 @t4703) @t4713)) % 6.43/6.69 (define @t5315 () (@var "V_xs1" $$unsorted)) % 6.43/6.69 (define @t5316 () (tptp.hAPP @t5302 @t5315)) % 6.43/6.69 (define @t5317 () (tptp.hAPP @t5302 @t4704)) % 6.43/6.69 (define @t5318 () (tptp.hAPP @t5317 @t4703)) % 6.43/6.69 (define @t5319 () (@list @t4703 @t4704 @t132 @t8)) % 6.43/6.69 (define @t5320 () (tptp.hAPP @t5055 @t4521)) % 6.43/6.69 (define @t5321 () (tptp.hAPP @t5303 @t4521)) % 6.43/6.69 (define @t5322 () (@list @t4521 @t4522 @t8)) % 6.43/6.69 (define @t5323 () (tptp.c_List_Oappend @t47)) % 6.43/6.69 (define @t5324 () (tptp.hAPP (tptp.hAPP @t5323 @t4522) @t4521)) % 6.43/6.69 (define @t5325 () (@var "V_us" $$unsorted)) % 6.43/6.69 (define @t5326 () (tptp.hAPP @t5302 @t4719)) % 6.43/6.69 (define @t5327 () (tptp.hAPP @t5303 @t4719)) % 6.43/6.69 (define @t5328 () (@list @t4719 @t4521 @t4522 @t8)) % 6.43/6.69 (define @t5329 () (@var "B_us" $$unsorted)) % 6.43/6.69 (define @t5330 () (tptp.hAPP @t5302 @t5329)) % 6.43/6.69 (define @t5331 () (tptp.c_List_Oappend @t1469)) % 6.43/6.69 (define @t5332 () (tptp.hAPP @t1000 @t4762)) % 6.43/6.69 (define @t5333 () (tptp.hAPP @t5332 @t4766)) % 6.43/6.69 (define @t5334 () (@var "V_vs" $$unsorted)) % 6.43/6.69 (define @t5335 () (tptp.hAPP @t4698 @t4703)) % 6.43/6.69 (define @t5336 () (tptp.hAPP @t4698 @t5318)) % 6.43/6.69 (define @t5337 () (tptp.hAPP @t5323 @t4521)) % 6.43/6.69 (define @t5338 () (@list @t4719 @t337 @t4521 @t47 @t4522 @t8)) % 6.43/6.69 (define @t5339 () (tptp.c_List_Obutlast @t8 @t5318)) % 6.43/6.69 (define @t5340 () (= @t4703 @t5157)) % 6.43/6.69 (define @t5341 () (not @t5340)) % 6.43/6.69 (define @t5342 () (@list @t4704 @t8 @t4703)) % 6.43/6.69 (define @t5343 () (tptp.hAPP (tptp.hAPP @t5302 @t5157) @t4703)) % 6.43/6.69 (define @t5344 () (@list @t4703 @t8)) % 6.43/6.69 (define @t5345 () (and @t5161 @t5312)) % 6.43/6.69 (define @t5346 () (tptp.hAPP @t5317 @t5091)) % 6.43/6.69 (define @t5347 () (tptp.hAPP @t4806 @t5318)) % 6.43/6.69 (define @t5348 () (tptp.hAPP @t1267 @t4762)) % 6.43/6.69 (define @t5349 () (tptp.hAPP @t5302 @t4932)) % 6.43/6.69 (define @t5350 () (@list @t4703 @t4704 @t1153 @t8)) % 6.43/6.69 (define @t5351 () (tptp.c_List_Olist__update @t8 @t5318)) % 6.43/6.69 (define @t5352 () (tptp.hAPP @t5070 @t4703)) % 6.43/6.69 (define @t5353 () (tptp.c_List_Oremove1 @t8 @t61 @t5321)) % 6.43/6.69 (define @t5354 () (@list @t4521 @t4522 @t61 @t8)) % 6.43/6.69 (define @t5355 () (tptp.c_List_Obutlast @t8 @t4521)) % 6.43/6.69 (define @t5356 () (tptp.hAPP @t5317 @t5230)) % 6.43/6.69 (define @t5357 () (@var "V_vs_2" $$unsorted)) % 6.43/6.69 (define @t5358 () (@var "V_us_2" $$unsorted)) % 6.43/6.69 (define @t5359 () (tptp.hAPP @t5303 @t5358)) % 6.43/6.69 (define @t5360 () (tptp.hAPP @t5302 @t61)) % 6.43/6.69 (define @t5361 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4956 (tptp.hAPP @t5360 @t1137)) (tptp.hAPP @t5360 @t1865))) @t4955))) % 6.43/6.69 (define @t5362 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4956 @t1137) @t1865)) @t4955))) % 6.43/6.69 (define @t5363 () (tptp.hBOOL (tptp.hAPP @t4672 @t4521))) % 6.43/6.69 (define @t5364 () (tptp.hAPP @t5347 @t1153)) % 6.43/6.69 (define @t5365 () (not @t5034)) % 6.43/6.69 (define @t5366 () (tptp.hAPP (tptp.hAPP @t5351 @t1153) @t132)) % 6.43/6.69 (define @t5367 () (@var "V_l_H_2" $$unsorted)) % 6.43/6.69 (define @t5368 () (tptp.hAPP @t5302 @t5358)) % 6.43/6.69 (define @t5369 () (tptp.hAPP @t5302 @t1137)) % 6.43/6.69 (define @t5370 () (tptp.hAPP @t5046 @t4814)) % 6.43/6.69 (define @t5371 () (tptp.hAPP @t5302 @t4937)) % 6.43/6.69 (define @t5372 () (@list @t4704 @t8 @t1165)) % 6.43/6.69 (define @t5373 () (tptp.hAPP @t5049 @t1653)) % 6.43/6.69 (define @t5374 () (@var "B_vs" $$unsorted)) % 6.43/6.69 (define @t5375 () (@list @t5329 @t5374)) % 6.43/6.69 (define @t5376 () (tptp.hAPP (tptp.c_COMBC @t4514 @t4514 @t4514) @t5302)) % 6.43/6.69 (define @t5377 () (tptp.c_COMBB @t4514 @t5113 @t8)) % 6.43/6.69 (define @t5378 () (tptp.c_List_Orotate1 @t8)) % 6.43/6.69 (define @t5379 () (tptp.hAPP @t5378 @t4522)) % 6.43/6.69 (define @t5380 () (tptp.hAPP @t5378 @t4704)) % 6.43/6.69 (define @t5381 () (tptp.hAPP @t5063 @t132)) % 6.43/6.69 (define @t5382 () (tptp.hBOOL (tptp.hAPP @t4879 @t1615))) % 6.43/6.69 (define @t5383 () (tptp.c_List_Odrop @t8)) % 6.43/6.69 (define @t5384 () (tptp.hAPP (tptp.hAPP @t5383 @t1788) @t4704)) % 6.43/6.69 (define @t5385 () (tptp.hAPP @t5383 @t1153)) % 6.43/6.69 (define @t5386 () (tptp.hAPP @t5383 @t692)) % 6.43/6.69 (define @t5387 () (tptp.hAPP @t5386 @t4522)) % 6.43/6.69 (define @t5388 () (tptp.hAPP @t4553 @t5387)) % 6.43/6.69 (define @t5389 () (tptp.hAPP @t5385 @t4704)) % 6.43/6.69 (define @t5390 () (tptp.c_List_Obutlast @t8 @t5389)) % 6.43/6.69 (define @t5391 () (tptp.hAPP @t5385 @t5033)) % 6.43/6.69 (define @t5392 () (tptp.c_List_Odrop @t47)) % 6.43/6.69 (define @t5393 () (tptp.hAPP @t5392 @t692)) % 6.43/6.69 (define @t5394 () (tptp.hAPP @t5383 @t1165)) % 6.43/6.69 (define @t5395 () (tptp.hAPP @t5394 @t4704)) % 6.43/6.69 (define @t5396 () (tptp.hAPP @t5383 @t1152)) % 6.43/6.69 (define @t5397 () (tptp.hAPP @t5396 @t4704)) % 6.43/6.69 (define @t5398 () (tptp.hAPP @t5383 @t1716)) % 6.43/6.69 (define @t5399 () (tptp.hAPP @t5385 @t5068)) % 6.43/6.69 (define @t5400 () (tptp.hAPP @t1157 @t1165)) % 6.43/6.69 (define @t5401 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 6.43/6.69 (define @t5402 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 6.43/6.69 (define @t5403 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 6.43/6.69 (define @t5404 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 6.43/6.69 (define @t5405 () (tptp.hAPP @t4752 @t5404)) % 6.43/6.69 (define @t5406 () (tptp.hAPP @t4752 @t5403)) % 6.43/6.69 (define @t5407 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t5406) @t5405))) % 6.43/6.69 (define @t5408 () (tptp.hAPP @t5370 @t5384)) % 6.43/6.69 (define @t5409 () (tptp.hAPP (tptp.hAPP @t5383 @t3503) @t5068)) % 6.43/6.69 (define @t5410 () (@list @t4713 @t4703 @t4704 @t47 @t8)) % 6.43/6.69 (define @t5411 () (tptp.hAPP @t5084 @t4704)) % 6.43/6.69 (define @t5412 () (tptp.c_List_Ohd @t8)) % 6.43/6.69 (define @t5413 () (tptp.hAPP @t5412 @t5389)) % 6.43/6.69 (define @t5414 () (@list @t1153 @t8 @t4704)) % 6.43/6.69 (define @t5415 () (tptp.hAPP @t5412 @t4522)) % 6.43/6.69 (define @t5416 () (@list @t2 @t47 @t8 @t4522)) % 6.43/6.69 (define @t5417 () (tptp.hAPP @t5412 @t4704)) % 6.43/6.69 (define @t5418 () (tptp.hAPP @t5412 @t5318)) % 6.43/6.69 (define @t5419 () (=> @t5202 (= @t5418 @t5417))) % 6.43/6.69 (define @t5420 () (@list @t4703 @t8 @t4704)) % 6.43/6.69 (define @t5421 () (@list @t8 @t4522)) % 6.43/6.69 (define @t5422 () (tptp.hAPP @t5046 @t5417)) % 6.43/6.69 (define @t5423 () (tptp.c_List_Otl @t8)) % 6.43/6.69 (define @t5424 () (tptp.hAPP @t5423 @t4704)) % 6.43/6.69 (define @t5425 () (tptp.hAPP @t5302 @t5424)) % 6.43/6.69 (define @t5426 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1153 @t4762)) % 6.43/6.69 (define @t5427 () (tptp.c_List_Orotate @t8 @t1153)) % 6.43/6.69 (define @t5428 () (tptp.hAPP @t5427 @t4704)) % 6.43/6.69 (define @t5429 () (tptp.hAPP @t5385 @t5424)) % 6.43/6.69 (define @t5430 () (tptp.hAPP @t5423 @t5389)) % 6.43/6.69 (define @t5431 () (tptp.hAPP @t5378 @t5428)) % 6.43/6.69 (define @t5432 () (tptp.c_List_Orotate @t8 @t692)) % 6.43/6.69 (define @t5433 () (tptp.hAPP @t5432 @t4522)) % 6.43/6.69 (define @t5434 () (tptp.hAPP @t4931 @t5424)) % 6.43/6.69 (define @t5435 () (= @t5428 @t4704)) % 6.43/6.69 (define @t5436 () (tptp.c_List_Ofoldl @t8 @t47 @t2 @t13)) % 6.43/6.70 (define @t5437 () (tptp.hAPP @t5436 @t4522)) % 6.43/6.70 (define @t5438 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t928 @t13) @t4522)) % 6.43/6.70 (define @t5439 () (tptp.c_List_Ofoldl @t8 @t8 @t928 @t2105)) % 6.43/6.70 (define @t5440 () (@list @t4719 @t64 @t61 @t8)) % 6.43/6.70 (define @t5441 () (tptp.c_List_Ofoldr @t8 @t8 @t928 @t4522 @t2105)) % 6.43/6.70 (define @t5442 () (@list @t4522 @t13 @t8)) % 6.43/6.70 (define @t5443 () (tptp.c_List_Ofoldl @t47 @t8 (tptp.hAPP @t2269 @t2) @t64)) % 6.43/6.70 (define @t5444 () (tptp.hAPP (tptp.hAPP @t869 @t64) @t4554)) % 6.43/6.70 (define @t5445 () (@list @t4522 @t64 @t2 @t47 @t8)) % 6.43/6.70 (define @t5446 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t1926 @t61) @t4522)) % 6.43/6.70 (define @t5447 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t1930 @t61) @t4522)) % 6.43/6.70 (define @t5448 () (@list @t2 @t4522 @t47 @t8)) % 6.43/6.70 (define @t5449 () (tptp.tc_fun @t47 @t4232)) % 6.43/6.70 (define @t5450 () (tptp.tc_fun @t4237 @t5449)) % 6.43/6.70 (define @t5451 () (tptp.tc_fun @t8 @t5450)) % 6.43/6.70 (define @t5452 () (tptp.tc_fun @t8 @t5449)) % 6.43/6.70 (define @t5453 () (tptp.hAPP @t5046 @t476)) % 6.43/6.70 (define @t5454 () (tptp.c_List_Olast @t8 @t4704)) % 6.43/6.70 (define @t5455 () (tptp.c_List_Olast @t8 @t5039)) % 6.43/6.70 (define @t5456 () (tptp.c_List_Olast @t8 @t5068)) % 6.43/6.70 (define @t5457 () (=> @t5202 (= @t5456 @t5454))) % 6.43/6.70 (define @t5458 () (=> @t5201 (= @t5456 @t132))) % 6.43/6.70 (define @t5459 () (tptp.c_List_Olast @t8 @t4522)) % 6.43/6.70 (define @t5460 () (tptp.c_List_Olast @t8 @t5318)) % 6.43/6.70 (define @t5461 () (=> @t5340 (= @t5460 @t5454))) % 6.43/6.70 (define @t5462 () (=> @t5341 (= @t5460 (tptp.c_List_Olast @t8 @t4703)))) % 6.43/6.70 (define @t5463 () (@var "B_l" $$unsorted)) % 6.43/6.70 (define @t5464 () (= @t13 @t5157)) % 6.43/6.70 (define @t5465 () (@var "V_xss_2" $$unsorted)) % 6.43/6.70 (define @t5466 () (tptp.c_COMBB tptp.tc_Nat_Onat @t3199 @t4519)) % 6.43/6.70 (define @t5467 () (tptp.hAPP @t5466 @t1982)) % 6.43/6.70 (define @t5468 () (tptp.c_List_Ofilter @t8 @t136)) % 6.43/6.70 (define @t5469 () (tptp.hAPP @t5468 @t4521)) % 6.43/6.70 (define @t5470 () (tptp.hAPP @t5468 @t4522)) % 6.43/6.70 (define @t5471 () (@list @t4521 @t4522 @t136 @t8)) % 6.43/6.70 (define @t5472 () (tptp.hAPP @t5468 @t5050)) % 6.43/6.70 (define @t5473 () (not @t426)) % 6.43/6.70 (define @t5474 () (@list @t4522 @t8 @t61 @t136)) % 6.43/6.70 (define @t5475 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_HOL_Obool @t47 @t136) @t2)) % 6.43/6.70 (define @t5476 () (tptp.hAPP (tptp.c_List_Ofilter @t47 @t5475) @t4522)) % 6.43/6.70 (define @t5477 () (tptp.hAPP @t5468 @t4531)) % 6.43/6.70 (define @t5478 () (@list @t4522 @t2 @t47 @t136 @t8)) % 6.43/6.70 (define @t5479 () (tptp.hAPP @t4752 @t5470)) % 6.43/6.70 (define @t5480 () (@list @t4522 @t136 @t8)) % 6.43/6.70 (define @t5481 () (tptp.c_List_Ofilter @t8 @t135)) % 6.43/6.70 (define @t5482 () (tptp.hAPP @t5481 @t4522)) % 6.43/6.70 (define @t5483 () (tptp.hAPP @t4553 @t5470)) % 6.43/6.70 (define @t5484 () (@list @t64 @t4522 @t8)) % 6.43/6.70 (define @t5485 () (tptp.c_List_Osublist @t8 @t4522 @t1660)) % 6.43/6.70 (define @t5486 () (@list @t1660 @t4522 @t8)) % 6.43/6.70 (define @t5487 () (tptp.c_List_Ofilter @t8 @t2866)) % 6.43/6.70 (define @t5488 () (@list @t4522 @t2866 @t8)) % 6.43/6.70 (define @t5489 () (tptp.c_Fun_Ocomp @t687 @t8 @t47 @t133)) % 6.43/6.70 (define @t5490 () (tptp.c_List_Omap__filter @t47 @t8 @t2 @t4522)) % 6.43/6.70 (define @t5491 () (tptp.hAPP (tptp.hAPP @t5112 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4514 @t4514 tptp.tc_HOL_Obool) tptp.c_fequal) @t5157))) % 6.43/6.70 (define @t5492 () (tptp.c_List_Ofilter @t4514 @t5491)) % 6.43/6.70 (define @t5493 () (tptp.tc_List_Olist @t4514)) % 6.43/6.70 (define @t5494 () (tptp.c_Nat_Osize__class_Osize @t5493)) % 6.43/6.70 (define @t5495 () (tptp.c_List_Otranspose @t8 @t4522)) % 6.43/6.70 (define @t5496 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3199 @t4514) @t1982) @t4752)) % 6.43/6.70 (define @t5497 () (= @t3 @t5157)) % 6.43/6.70 (define @t5498 () (tptp.c_List_Oset @t4514)) % 6.43/6.70 (define @t5499 () (tptp.hAPP @t5498 @t4522)) % 6.43/6.70 (define @t5500 () (tptp.hAPP @t5055 @t3)) % 6.43/6.70 (define @t5501 () (tptp.c_List_Olist_ONil @t4514)) % 6.43/6.70 (define @t5502 () (= (tptp.c_List_Otranspose @t8 @t5501) @t5501)) % 6.43/6.70 (define @t5503 () (tptp.hAPP (tptp.c_List_Omap @t4519 @t4514) @t4529)) % 6.43/6.70 (define @t5504 () (tptp.hAPP @t5503 @t4522)) % 6.43/6.70 (define @t5505 () (@var "V_xss" $$unsorted)) % 6.43/6.70 (define @t5506 () (tptp.c_List_Olist_OCons @t4514)) % 6.43/6.70 (define @t5507 () (tptp.hAPP @t5506 @t5157)) % 6.43/6.70 (define @t5508 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t47 @t8 tptp.tc_HOL_Obool) @t136)) % 6.43/6.70 (define @t5509 () (@var "V_is_2" $$unsorted)) % 6.43/6.70 (define @t5510 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 6.43/6.70 (define @t5511 () (tptp.hAPP (tptp.c_List_Ozip @t8 tptp.tc_Nat_Onat) @t4522)) % 6.43/6.70 (define @t5512 () (tptp.c_Product__Type_Osnd @t8 tptp.tc_Nat_Onat)) % 6.43/6.70 (define @t5513 () (tptp.tc_prod @t8 tptp.tc_Nat_Onat)) % 6.43/6.70 (define @t5514 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t5513) @t136)) % 6.43/6.70 (define @t5515 () (tptp.hAPP (tptp.c_List_Omap @t5513 @t8) (tptp.c_Product__Type_Ofst @t8 tptp.tc_Nat_Onat))) % 6.43/6.70 (define @t5516 () (tptp.c_List_Ofilter @t4514 (tptp.hAPP (tptp.hAPP @t4980 @t1270) @t4752))) % 6.43/6.70 (define @t5517 () (tptp.hAPP @t5516 @t4522)) % 6.43/6.70 (define @t5518 () (tptp.c_List_Omap @t4514 @t8)) % 6.43/6.70 (define @t5519 () (tptp.hAPP @t5518 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4514 tptp.tc_Nat_Onat @t8) @t4806) @t1034))) % 6.43/6.70 (define @t5520 () (tptp.c_List_Onth @t4514)) % 6.43/6.70 (define @t5521 () (tptp.hAPP (tptp.hAPP @t5520 @t5495) @t1034)) % 6.43/6.70 (define @t5522 () (tptp.hAPP @t5494 @t5495)) % 6.43/6.70 (define @t5523 () (tptp.hBOOL (tptp.hAPP @t1270 @t5522))) % 6.43/6.70 (define @t5524 () (@list @t4522 @t8 @t1034)) % 6.43/6.70 (define @t5525 () (tptp.tc_fun @t687 @t687)) % 6.43/6.70 (define @t5526 () (tptp.c_List_Ofilter @t47 @t136)) % 6.43/6.70 (define @t5527 () (tptp.hAPP @t5526 @t4522)) % 6.43/6.70 (define @t5528 () (tptp.hAPP @t4529 @t5527)) % 6.43/6.70 (define @t5529 () (tptp.c_List_Oremove1 @t8 @t13 @t4522)) % 6.43/6.70 (define @t5530 () (tptp.c_List_Olinorder__class_Osorted @t47 @t4525)) % 6.43/6.70 (define @t5531 () (tptp.c_List_Oupt @t2094 @t4770)) % 6.43/6.70 (define @t5532 () (tptp.hAPP @t5511 @t5531)) % 6.43/6.70 (define @t5533 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2327 @t5513) @t1634)) % 6.43/6.70 (define @t5534 () (tptp.c_COMBC @t5513 @t1623 tptp.tc_HOL_Obool)) % 6.43/6.70 (define @t5535 () (tptp.c_List_Ofilter @t5513 (tptp.hAPP (tptp.hAPP @t5534 (tptp.hAPP @t5533 @t5512)) @t51))) % 6.43/6.70 (define @t5536 () (tptp.hAPP @t1 @t4522)) % 6.43/6.70 (define @t5537 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4531)) % 6.43/6.70 (define @t5538 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4704)) % 6.43/6.70 (define @t5539 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 6.43/6.70 (define @t5540 () (tptp.c_List_Oupt @t1165 @t1876)) % 6.43/6.70 (define @t5541 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 6.43/6.70 (define @t5542 () (tptp.c_List_Oupt @t1165 @t1162)) % 6.43/6.70 (define @t5543 () (tptp.c_List_Oappend tptp.tc_Nat_Onat)) % 6.43/6.70 (define @t5544 () (tptp.hAPP @t5543 @t5542)) % 6.43/6.70 (define @t5545 () (=> @t1215 (= @t5540 (tptp.hAPP @t5544 (tptp.hAPP (tptp.hAPP @t5541 @t1162) @t5539))))) % 6.43/6.70 (define @t5546 () (= @t5542 @t5539)) % 6.43/6.70 (define @t5547 () (=> @t1249 (= @t5542 (tptp.hAPP (tptp.hAPP @t5541 @t1165) (tptp.c_List_Oupt @t1788 @t1162))))) % 6.43/6.70 (define @t5548 () (tptp.hAPP @t5047 @t4719)) % 6.43/6.70 (define @t5549 () (tptp.hAPP @t5070 @t4713)) % 6.43/6.70 (define @t5550 () (@list @t61 @t4522 @t2 @t47 @t8)) % 6.43/6.70 (define @t5551 () (=> (= @t4554 @t4613) @t4523)) % 6.43/6.70 (define @t5552 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4521)) % 6.43/6.70 (define @t5553 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4522)) % 6.43/6.70 (define @t5554 () (tptp.c_List_Oupt @t337 @t692)) % 6.43/6.70 (define @t5555 () (tptp.c_List_Oupt @t1034 @t1190)) % 6.43/6.70 (define @t5556 () (tptp.hAPP @t4888 @t5555)) % 6.43/6.70 (define @t5557 () (forall @t7 (=> @t4837 @t2071))) % 6.43/6.70 (define @t5558 () (tptp.c_List_Olinorder__class_Osorted @t8 @t5050)) % 6.43/6.70 (define @t5559 () (tptp.hBOOL (tptp.hAPP @t1364 @t813))) % 6.43/6.70 (define @t5560 () (tptp.hAPP @t3502 @t1153)) % 6.43/6.70 (define @t5561 () (tptp.hAPP @t3502 @t1152)) % 6.43/6.70 (define @t5562 () (tptp.c_List_Oupt @t5561 @t5560)) % 6.43/6.70 (define @t5563 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t5561) @t5560))) % 6.43/6.70 (define @t5564 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t8)) % 6.43/6.70 (define @t5565 () (tptp.c_List_Oupt @t2094 @t692)) % 6.43/6.70 (define @t5566 () (tptp.hAPP (tptp.hAPP @t5564 @t2) @t5554)) % 6.43/6.70 (define @t5567 () (tptp.hAPP @t4884 @t5566)) % 6.43/6.70 (define @t5568 () (tptp.hAPP @t2399 (tptp.hAPP @t4888 @t5554))) % 6.43/6.70 (define @t5569 () (tptp.hBOOL (tptp.hAPP @t1253 @t4762))) % 6.43/6.70 (define @t5570 () (@list @t1162 @t1165 @t4704 @t8)) % 6.43/6.70 (define @t5571 () (tptp.hBOOL (tptp.hAPP @t3301 @t2248))) % 6.43/6.70 (define @t5572 () (tptp.hAPP @t5494 @t4522)) % 6.43/6.70 (define @t5573 () (tptp.hAPP @t5520 @t4522)) % 6.43/6.70 (define @t5574 () (= @t4522 @t5501)) % 6.43/6.70 (define @t5575 () (tptp.hAPP @t5507 @t5465)) % 6.43/6.70 (define @t5576 () (tptp.c_Wellfounded_Oaccp @t5493 (tptp.c_List_Otranspose__rel @t8))) % 6.43/6.70 (define @t5577 () (@list @t5465 @t8)) % 6.43/6.70 (define @t5578 () (tptp.hAPP @t5573 @t1034)) % 6.43/6.70 (define @t5579 () (tptp.hAPP @t5516 @t5495)) % 6.43/6.70 (define @t5580 () (tptp.hBOOL (tptp.hAPP @t1270 @t5572))) % 6.43/6.70 (define @t5581 () (tptp.hAPP (tptp.c_List_Omap @t4514 tptp.tc_Nat_Onat) @t4752)) % 6.43/6.70 (define @t5582 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 6.43/6.70 (define @t5583 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5582 (tptp.hAPP @t5581 @t4522)))) % 6.43/6.70 (define @t5584 () (@list @t1034 @t4522 @t8)) % 6.43/6.70 (define @t5585 () (tptp.hAPP @t5492 @t5465)) % 6.43/6.70 (define @t5586 () (tptp.c_List_Omap @t4514 @t4514)) % 6.43/6.70 (define @t5587 () (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5586 (tptp.c_List_Olist_Olist__case @t4514 @t8 @t5157 (tptp.hAPP (tptp.hAPP @t5377 (tptp.c_COMBK @t4514 @t4514)) @t5263))) @t5465))) % 6.43/6.70 (define @t5588 () (tptp.c_List_Orev @t8)) % 6.43/6.70 (define @t5589 () (tptp.hAPP @t5588 @t4522)) % 6.43/6.70 (define @t5590 () (tptp.c_List_Oconcat @t8 @t5465)) % 6.43/6.70 (define @t5591 () (= @t4522 @t5210)) % 6.43/6.70 (define @t5592 () (tptp.c_List_Oconcat @t8 @t4522)) % 6.43/6.70 (define @t5593 () (tptp.c_List_Orev @t47)) % 6.43/6.70 (define @t5594 () (tptp.hAPP @t5593 @t4522)) % 6.43/6.70 (define @t5595 () (tptp.hAPP @t5588 @t4531)) % 6.43/6.70 (define @t5596 () (tptp.hAPP @t5588 @t4704)) % 6.43/6.70 (define @t5597 () (tptp.c_List_Oconcat @t8 @t4704)) % 6.43/6.70 (define @t5598 () (tptp.c_List_Oappend @t4514)) % 6.43/6.70 (define @t5599 () (tptp.hAPP @t5588 @t4521)) % 6.43/6.70 (define @t5600 () (tptp.c_List_Orev @t1469)) % 6.43/6.70 (define @t5601 () (tptp.hAPP @t5498 @t5465)) % 6.43/6.70 (define @t5602 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5500 @t5601)) @t5497))) % 6.43/6.70 (define @t5603 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4514 @t55)) % 6.43/6.70 (define @t5604 () (tptp.hAPP @t5035 @t1165)) % 6.43/6.70 (define @t5605 () (@list @t4704 @t1165 @t8)) % 6.43/6.70 (define @t5606 () (tptp.tc_fun @t4514 @t5493)) % 6.43/6.70 (define @t5607 () (tptp.c_List_Omap @t4514 @t5493)) % 6.43/6.70 (define @t5608 () (tptp.c_List_Oconcat @t4514 (tptp.hAPP (tptp.hAPP @t5607 (tptp.c_List_Olist_Olist__case @t5493 @t8 @t5501 (tptp.hAPP (tptp.c_COMBK @t5606 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4514 @t5493 @t5493) @t5506) @t5501)))) @t5465))) % 6.43/6.70 (define @t5609 () (tptp.hAPP (tptp.hAPP @t5506 @t5050) @t5465)) % 6.43/6.70 (define @t5610 () (= (tptp.c_List_Otranspose @t8 @t5609) (tptp.hAPP (tptp.hAPP @t5506 (tptp.hAPP @t5049 @t5587)) (tptp.c_List_Otranspose @t8 (tptp.hAPP (tptp.hAPP @t5506 @t4522) @t5608))))) % 6.43/6.70 (define @t5611 () (@list @t5465 @t4522 @t61 @t8)) % 6.43/6.70 (define @t5612 () (= @t5592 (tptp.c_List_Oconcat @t8 @t4521))) % 6.43/6.70 (define @t5613 () (= @t5572 (tptp.hAPP @t5494 @t4521))) % 6.43/6.70 (define @t5614 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 @t3) (tptp.hAPP (tptp.c_List_Oset @t4958) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4514 @t4514) @t4522) @t4521)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4990 @t4984) @t3))))) % 6.43/6.70 (define @t5615 () (tptp.c_List_Omap @t47 @t4514)) % 6.43/6.70 (define @t5616 () (tptp.c_List_Ofoldr @t8 @t8 @t1930 @t4522 @t64)) % 6.43/6.70 (define @t5617 () (tptp.c_List_OtakeWhile @t8 @t136 @t4522)) % 6.43/6.70 (define @t5618 () (@list @t4521 @t4522 @t136 @t47 @t8)) % 6.43/6.70 (define @t5619 () (tptp.hAPP @t4752 @t5617)) % 6.43/6.70 (define @t5620 () (tptp.c_List_OtakeWhile @t8 @t136 @t5050)) % 6.43/6.70 (define @t5621 () (tptp.c_List_OtakeWhile @t8 @t136 @t5321)) % 6.43/6.70 (define @t5622 () (@list @t4521 @t136 @t4522 @t61 @t8)) % 6.43/6.70 (define @t5623 () (@list @t4522 @t136 @t8 @t1190)) % 6.43/6.70 (define @t5624 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 tptp.tc_HOL_Obool @t47) (tptp.hAPP @t627 @t32)) @t2)) % 6.43/6.70 (define @t5625 () (tptp.c_List_Oremdups @t8 @t4704)) % 6.43/6.70 (define @t5626 () (tptp.c_List_Oremdups @t8 @t4522)) % 6.43/6.70 (define @t5627 () (= @t61 @t5157)) % 6.43/6.70 (define @t5628 () (tptp.c_List_Oremdups @t8 @t61)) % 6.43/6.70 (define @t5629 () (= @t5626 @t4522)) % 6.43/6.70 (define @t5630 () (tptp.hAPP @t4752 @t5626)) % 6.43/6.70 (define @t5631 () (tptp.c_List_Oremdups @t8 @t5050)) % 6.43/6.70 (define @t5632 () (tptp.hAPP @t1482 @t4921)) % 6.43/6.70 (define @t5633 () (tptp.c_List_OdropWhile @t8 @t136 @t4522)) % 6.43/6.70 (define @t5634 () (tptp.c_List_OdropWhile @t8 @t136 @t5050)) % 6.43/6.70 (define @t5635 () (tptp.hAPP @t4752 @t5633)) % 6.43/6.70 (define @t5636 () (= @t5633 @t5157)) % 6.43/6.70 (define @t5637 () (tptp.hAPP @t5302 @t5617)) % 6.43/6.70 (define @t5638 () (tptp.c_List_OdropWhile @t8 @t136 @t5321)) % 6.43/6.70 (define @t5639 () (tptp.hBOOL @t4210)) % 6.43/6.70 (define @t5640 () (tptp.c_Enum_On__lists @t8 @t692 @t4522)) % 6.43/6.70 (define @t5641 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t8 tptp.c_fNot)) % 6.43/6.70 (define @t5642 () (tptp.c_List_Opartition @t8 @t136 @t4522)) % 6.43/6.70 (define @t5643 () (tptp.c_Enum_On__lists @t8 @t1153 @t4704)) % 6.43/6.70 (define @t5644 () (tptp.c_List_Odistinct @t4514)) % 6.43/6.70 (define @t5645 () (tptp.hAPP @t5498 @t5640)) % 6.43/6.70 (define @t5646 () (@var "V_no_2" $$unsorted)) % 6.43/6.70 (define @t5647 () (tptp.hAPP @t4553 @t5646)) % 6.43/6.70 (define @t5648 () (@var "V_yes_2" $$unsorted)) % 6.43/6.70 (define @t5649 () (tptp.hAPP @t4553 @t5648)) % 6.43/6.70 (define @t5650 () (= @t5642 (tptp.hAPP (tptp.hAPP @t4956 @t5648) @t5646))) % 6.43/6.70 (define @t5651 () (@list @t5646 @t5648 @t4522 @t136 @t8)) % 6.43/6.70 (define @t5652 () (tptp.c_Enum_On__lists @t8 @t1153 @t5157)) % 6.43/6.70 (define @t5653 () (tptp.hAPP @t5507 @t5501)) % 6.43/6.70 (define @t5654 () (tptp.tc_fun @t4958 @t4958)) % 6.43/6.70 (define @t5655 () (tptp.tc_fun @t4514 @t5654)) % 6.43/6.70 (define @t5656 () (@list @t4522 @t61 @t136 @t8)) % 6.43/6.70 (define @t5657 () (tptp.c_Enum_Osublists @t8 @t4522)) % 6.43/6.70 (define @t5658 () (tptp.c_Enum_Oproduct @t8 @t47 @t4522 @t4521)) % 6.43/6.70 (define @t5659 () (@var "V_uu" $$unsorted)) % 6.43/6.70 (define @t5660 () (tptp.c_Enum_Oenum__class_Oenum @t47)) % 6.43/6.70 (define @t5661 () (tptp.hAPP @t4712 @t5660)) % 6.43/6.70 (define @t5662 () (tptp.hAPP @t4750 @t5660)) % 6.43/6.70 (define @t5663 () (tptp.class_Enum_Oenum @t8)) % 6.43/6.70 (define @t5664 () (tptp.class_Enum_Oenum @t47)) % 6.43/6.70 (define @t5665 () (and @t5664 @t5663)) % 6.43/6.70 (define @t5666 () (tptp.c_List_Olinorder__class_Osort__key @t8 @t8 @t145 @t4522)) % 6.43/6.70 (define @t5667 () (tptp.c_Enum_Oenum__class_Oenum @t8)) % 6.43/6.70 (define @t5668 () (tptp.c_List_Olinorder__class_Osort__key @t8 @t47 @t2 @t4522)) % 6.43/6.70 (define @t5669 () (and @t5663 @t5664)) % 6.43/6.70 (define @t5670 () (tptp.hAPP @t4553 @t5667)) % 6.43/6.70 (define @t5671 () (tptp.hAPP @t4752 @t5667)) % 6.43/6.70 (define @t5672 () (tptp.hAPP @t4698 @t5667)) % 6.43/6.70 (define @t5673 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4232 @t203 @t4519) (tptp.c_Fun_Ocomp @t693 @t47 @t8 @t4550)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4764 @t4232 @t4519) @t2254) @t5672))) % 6.43/6.70 (define @t5674 () (= (tptp.c_Enum_Oenum__class_Oenum @t203) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4519 @t203) @t5673) (tptp.c_Enum_On__lists @t47 @t5671 @t5660)))) % 6.43/6.70 (define @t5675 () (tptp.class_HOL_Oequal @t8)) % 6.43/6.70 (define @t5676 () (tptp.hBOOL (tptp.hAPP @t5500 (tptp.hAPP @t5498 (tptp.c_Enum_On__lists @t8 @t692 @t5667))))) % 6.43/6.70 (define @t5677 () (@list @t692 @t136 @t8)) % 6.43/6.70 (define @t5678 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t203 tptp.tc_HOL_Obool @t4519) @t136) @t5673)) % 6.43/6.70 (define @t5679 () (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t203) @t136)) (tptp.c_Enum_Oall__n__lists @t47 @t5678 @t5671))) % 6.43/6.70 (define @t5680 () (@list @t136 @t8 @t47)) % 6.43/6.70 (define @t5681 () (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t203) @t136)) (tptp.c_Enum_Oex__n__lists @t47 @t5678 @t5671))) % 6.43/6.70 (define @t5682 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t687 tptp.tc_HOL_Obool @t8) @t136) @t65)) % 6.43/6.70 (define @t5683 () (tptp.c_Enum_Oenum__class_Oenum__ex @t8)) % 6.43/6.70 (define @t5684 () (tptp.hBOOL (tptp.hAPP @t136 @t983))) % 6.43/6.70 (define @t5685 () (tptp.c_Enum_Oenum__class_Oenum__all @t8)) % 6.43/6.70 (define @t5686 () (tptp.hBOOL (tptp.hAPP @t5685 @t136))) % 6.43/6.70 (define @t5687 () (tptp.hBOOL (tptp.hAPP @t5683 @t136))) % 6.43/6.70 (define @t5688 () (tptp.c_COMBS @t8 @t47 tptp.tc_HOL_Obool)) % 6.43/6.70 (define @t5689 () (and (tptp.class_Orderings_Oorder @t47) @t5663)) % 6.43/6.70 (define @t5690 () (and @t5664 @t5663 @t5675)) % 6.43/6.70 (define @t5691 () (tptp.hBOOL (tptp.hAPP @t136 @t4840))) % 6.43/6.70 (define @t5692 () (@list @t136 @t4522 @t8 @t692)) % 6.43/6.70 (define @t5693 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4515)) % 6.43/6.70 (define @t5694 () (tptp.c_List_Olistsp @t8 (tptp.hAPP (tptp.hAPP @t729 @t1512) @t1535))) % 6.43/6.70 (define @t5695 () (tptp.hAPP @t5055 @t1653)) % 6.43/6.70 (define @t5696 () (tptp.c_List_Olistsp @t8 @t51)) % 6.43/6.70 (define @t5697 () (tptp.c_List_Olistsp @t8 @t77)) % 6.43/6.70 (define @t5698 () (tptp.c_List_Olistsp @t8 @t731)) % 6.43/6.70 (define @t5699 () (tptp.hBOOL (tptp.hAPP @t5696 @t4522))) % 6.43/6.70 (define @t5700 () (tptp.hBOOL (tptp.hAPP @t4205 @t3))) % 6.43/6.70 (define @t5701 () (tptp.hAPP @t3930 @t3)) % 6.43/6.70 (define @t5702 () (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t4522 @t4521)) % 6.43/6.70 (define @t5703 () (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t13 @t109)) % 6.43/6.70 (define @t5704 () (tptp.hAPP @t5593 @t4521)) % 6.43/6.70 (define @t5705 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t4807 @t2866)) (tptp.hAPP @t4805 @t2866)))) % 6.43/6.70 (define @t5706 () (tptp.hAPP @t1199 @t2866)) % 6.43/6.70 (define @t5707 () (@list @t2866 @t4521 @t4522 @t136 @t47 @t8)) % 6.43/6.70 (define @t5708 () (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t4880 @t4907)) % 6.43/6.70 (define @t5709 () (tptp.hAPP @t4752 @t13)) % 6.43/6.70 (define @t5710 () (= @t5709 (tptp.hAPP @t4750 @t109))) % 6.43/6.70 (define @t5711 () (tptp.hAPP @t3927 @t3)) % 6.43/6.70 (define @t5712 () (tptp.hAPP @t5711 @t42)) % 6.43/6.70 (define @t5713 () (tptp.c_List_Oinsert @t8 @t61 @t4522)) % 6.43/6.70 (define @t5714 () (=> @t4702 (= @t5713 @t5050))) % 6.43/6.70 (define @t5715 () (=> @t4701 (= @t5713 @t4522))) % 6.43/6.70 (define @t5716 () (tptp.c_List_Oinsert @t8 @t132 @t4704)) % 6.43/6.70 (define @t5717 () (tptp.c_List_Omaps @t47 @t8 @t2 @t4522)) % 6.43/6.70 (define @t5718 () (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5615 @t2) @t4522))) % 6.43/6.70 (define @t5719 () (@var "B_zs" $$unsorted)) % 6.43/6.70 (define @t5720 () (tptp.hAPP @t4553 @t5719)) % 6.43/6.70 (define @t5721 () (tptp.hAPP @t4553 @t5143)) % 6.43/6.70 (define @t5722 () (@list @t5719)) % 6.43/6.70 (define @t5723 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5055 @t5143) @t5499))) % 6.43/6.70 (define @t5724 () (@list @t5143)) % 6.43/6.70 (define @t5725 () (@var "V_fs_2" $$unsorted)) % 6.43/6.70 (define @t5726 () (tptp.tc_fun @t8 tptp.tc_Nat_Onat)) % 6.43/6.70 (define @t5727 () (tptp.hBOOL (tptp.hAPP @t4178 (tptp.c_List_Omeasures @t8 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5726) @t2) @t5725))))) % 6.43/6.70 (define @t5728 () (tptp.c_List_Omeasures @t8 @t5725)) % 6.43/6.70 (define @t5729 () (tptp.hBOOL (tptp.hAPP @t4178 @t5728))) % 6.43/6.70 (define @t5730 () (@list @t5725 @t8 @t64 @t61 @t2)) % 6.43/6.70 (define @t5731 () (tptp.tc_List_Olist @t5726)) % 6.43/6.70 (define @t5732 () (@list @t5725 @t8)) % 6.43/6.70 (define @t5733 () (tptp.c_member @t4742)) % 6.43/6.70 (define @t5734 () (tptp.tc_fun @t4742 tptp.tc_HOL_Obool)) % 6.43/6.70 (define @t5735 () (tptp.tc_fun @t5734 tptp.tc_HOL_Obool)) % 6.43/6.70 (define @t5736 () (tptp.tc_fun @t106 @t5735)) % 6.43/6.70 (define @t5737 () (tptp.c_member @t4508)) % 6.43/6.70 (define @t5738 () (tptp.tc_fun @t5139 tptp.tc_HOL_Obool)) % 6.43/6.70 (define @t5739 () (tptp.tc_fun @t106 @t5738)) % 6.43/6.70 (define @t5740 () (tptp.tc_fun @t106 @t525)) % 6.43/6.70 (define @t5741 () (tptp.c_Relation_Orel__comp @t8 @t106 @t47)) % 6.43/6.70 (define @t5742 () (tptp.hAPP (tptp.hAPP @t5741 @t1449) @t1660)) % 6.43/6.70 (define @t5743 () (tptp.hBOOL (tptp.hAPP @t816 @t354))) % 6.43/6.70 (define @t5744 () (tptp.hBOOL (tptp.hAPP @t232 @t352))) % 6.43/6.70 (define @t5745 () (not @t714)) % 6.43/6.70 (define @t5746 () (tptp.hBOOL (tptp.hAPP @t359 @t354))) % 6.43/6.70 (define @t5747 () (tptp.hBOOL (tptp.hAPP @t359 @t352))) % 6.43/6.70 (define @t5748 () (tptp.c_Relation_Orel__comp @t8 @t47 @t106)) % 6.43/6.70 (define @t5749 () (tptp.hAPP (tptp.hAPP @t5748 @t1449) @t1660)) % 6.43/6.70 (define @t5750 () (tptp.c_Orderings_Oord__class_Oless__eq @t5139)) % 6.43/6.70 (define @t5751 () (tptp.c_Orderings_Oord__class_Oless__eq @t3957)) % 6.43/6.70 (define @t5752 () (@var "V_s_H_2" $$unsorted)) % 6.43/6.70 (define @t5753 () (@list @t393 @t47 @t106 @t8)) % 6.43/6.70 (define @t5754 () (tptp.hAPP @t5741 @t393)) % 6.43/6.70 (define @t5755 () (tptp.c_Relation_Orel__comp @t8 @t8 @t8)) % 6.43/6.70 (define @t5756 () (tptp.hAPP @t5755 @t51)) % 6.43/6.70 (define @t5757 () (= (tptp.hAPP @t5756 @t225) @t4030)) % 6.43/6.70 (define @t5758 () (tptp.hAPP @t5741 @t1660)) % 6.43/6.70 (define @t5759 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4043 @t1470) @t1085)) % 6.43/6.70 (define @t5760 () (tptp.tc_fun @t3916 tptp.tc_HOL_Obool)) % 6.43/6.70 (define @t5761 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3916) (tptp.hAPP (tptp.hAPP @t4037 @t56) @t56)) (tptp.c_Orderings_Obot__class_Obot @t5760))) % 6.43/6.70 (define @t5762 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t5760)) % 6.43/6.70 (define @t5763 () (tptp.c_Relation_Orel__comp @t55 @t55 @t55)) % 6.43/6.70 (define @t5764 () (tptp.c_Orderings_Oord__class_Oless__eq @t5760)) % 6.43/6.70 (define @t5765 () (tptp.hAPP @t5755 @t393)) % 6.43/6.70 (define @t5766 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 (tptp.hAPP @t5765 @t392)) @t393))) % 6.43/6.70 (define @t5767 () (tptp.c_Wellfounded_Omin__ext @t8 @t393)) % 6.43/6.70 (define @t5768 () (tptp.hAPP @t3935 @t1449)) % 6.43/6.70 (define @t5769 () (tptp.c_Wellfounded_Owf @t8 @t393)) % 6.43/6.70 (define @t5770 () (tptp.c_Predicate_Opred__comp @t8 @t47 @t106 @t1449 @t1660)) % 6.43/6.70 (define @t5771 () (tptp.c_Wellfounded_Owf @t8 @t1449)) % 6.43/6.70 (define @t5772 () (@list @t2 @t47 @t1449 @t8)) % 6.43/6.70 (define @t5773 () (@var "V_rb_2" $$unsorted)) % 6.43/6.70 (define @t5774 () (@var "V_ra_2" $$unsorted)) % 6.43/6.70 (define @t5775 () (tptp.hAPP @t5765 @t393)) % 6.43/6.70 (define @t5776 () (tptp.hAPP @t4386 @t393)) % 6.43/6.70 (define @t5777 () (tptp.hAPP @t5776 @t392)) % 6.43/6.70 (define @t5778 () (tptp.c_Wellfounded_Owf @t8 @t5777)) % 6.43/6.70 (define @t5779 () (@list @t2866 @t1449 @t8)) % 6.43/6.70 (define @t5780 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.43/6.70 (define @t5781 () (tptp.c_Set_OCollect @t4109)) % 6.43/6.70 (define @t5782 () (tptp.c_Relation_OImage @t8 @t8 @t393)) % 6.43/6.70 (define @t5783 () (tptp.c_Wellfounded_Owf @t8 @t392)) % 6.43/6.70 (define @t5784 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t4028 @t4028) @t136)) % 6.43/6.70 (define @t5785 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t4028 @t4028) @t136)) % 6.43/6.70 (define @t5786 () (tptp.hAPP @t4029 @t392)) % 6.43/6.70 (define @t5787 () (tptp.hAPP @t4029 @t393)) % 6.43/6.70 (define @t5788 () (tptp.hAPP @t4076 (tptp.hAPP @t4074 @t813))) % 6.43/6.70 (define @t5789 () (tptp.hBOOL (tptp.hAPP @t5788 @t393))) % 6.43/6.70 (define @t5790 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1623 tptp.tc_Nat_Onat)) % 6.43/6.70 (define @t5791 () (@list @t607)) % 6.43/6.70 (define @t5792 () (tptp.c_Nitpick_Ofrac @t8)) % 6.43/6.70 (define @t5793 () (tptp.c_Relation_ORange @t47 @t8)) % 6.43/6.70 (define @t5794 () (tptp.hAPP (tptp.c_Relation_ORange @t8 @t47) @t1449)) % 6.43/6.70 (define @t5795 () (@list @t1449 @t109 @t13 @t47 @t8)) % 6.43/6.70 (define @t5796 () (tptp.c_Orderings_Obot__class_Obot @t4327)) % 6.43/6.70 (define @t5797 () (tptp.hAPP @t5793 @t1449)) % 6.43/6.70 (define @t5798 () (@list @t1449 @t8 @t47)) % 6.43/6.70 (define @t5799 () (tptp.hAPP @t5793 @t77)) % 6.43/6.70 (define @t5800 () (tptp.hAPP @t5793 @t51)) % 6.43/6.70 (define @t5801 () (tptp.c_Relation_ORange @t8 @t8)) % 6.43/6.70 (define @t5802 () (tptp.hBOOL (tptp.hAPP @t1472 @t1449))) % 6.43/6.70 (define @t5803 () (@list @t1449 @t47 @t8)) % 6.43/6.70 (define @t5804 () (@list @t1449 @t47 @t13 @t8)) % 6.43/6.70 (define @t5805 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4327)) % 6.43/6.70 (define @t5806 () (tptp.c_Predicate_ORangeP @t8 @t47 @t1449)) % 6.43/6.70 (define @t5807 () (@list @t47 @t8 @t109 @t13 @t1449)) % 6.43/6.70 (define @t5808 () (tptp.c_Relation_ODomain @t8 @t8)) % 6.43/6.70 (define @t5809 () (tptp.hAPP @t5808 @t1449)) % 6.43/6.70 (define @t5810 () (tptp.c_Relation_ODomain @t8 @t47)) % 6.43/6.70 (define @t5811 () (tptp.hAPP @t5810 @t1449)) % 6.43/6.70 (define @t5812 () (tptp.hBOOL (tptp.hAPP @t175 @t5811))) % 6.43/6.70 (define @t5813 () (tptp.hBOOL (tptp.hAPP @t5222 @t1660))) % 6.43/6.70 (define @t5814 () (@list @t1660 @t1449 @t47 @t8)) % 6.43/6.70 (define @t5815 () (tptp.hAPP @t5810 @t77)) % 6.43/6.70 (define @t5816 () (tptp.hAPP @t5810 @t51)) % 6.43/6.70 (define @t5817 () (@list @t393 @t47 @t8)) % 6.43/6.70 (define @t5818 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 (tptp.hAPP @t3989 @t42)) @t1449))) % 6.43/6.70 (define @t5819 () (tptp.hAPP @t5801 @t1449)) % 6.43/6.70 (define @t5820 () (tptp.c_Predicate_ODomainP @t8 @t47 @t1449)) % 6.43/6.70 (define @t5821 () (tptp.c_Wellfounded_OwfP @t8 @t1449)) % 6.43/6.70 (define @t5822 () (tptp.hAPP tptp.c_Int_ORep__Integ @t3)) % 6.43/6.70 (define @t5823 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4484 @t64) tptp.c_Int_OInteg))) % 6.43/6.70 (define @t5824 () (@list @t64)) % 6.43/6.70 (define @t5825 () (tptp.c_Wellfounded_Oacyclic @t8 @t5017)) % 6.43/6.70 (define @t5826 () (tptp.c_Wellfounded_Oacyclic @t8 @t1449)) % 6.43/6.70 (define @t5827 () (@list @t1449 @t1660 @t8)) % 6.43/6.70 (define @t5828 () (tptp.hAPP (tptp.hAPP @t4930 @t4803) @t4521)) % 6.43/6.70 (define @t5829 () (tptp.hAPP (tptp.hAPP @t4927 @t4803) @t4522)) % 6.43/6.70 (define @t5830 () (tptp.hAPP @t4553 @t4673)) % 6.43/6.70 (define @t5831 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t42)) % 6.43/6.70 (define @t5832 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4484 @t42) tptp.c_Int_OInteg))) % 6.43/6.70 (define @t5833 () (tptp.hAPP @t1449 @t2248)) % 6.43/6.70 (define @t5834 () (tptp.hAPP @t1449 @t2734)) % 6.43/6.70 (define @t5835 () (@list @t4521 @t136 @t4522 @t8)) % 6.43/6.70 (define @t5836 () (tptp.hAPP @t3988 @t315)) % 6.43/6.70 (define @t5837 () (exists @t5375 (and (= @t4521 (tptp.hAPP @t5330 (tptp.hAPP @t5049 @t5374))) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t232 (tptp.hAPP @t4553 @t5329))) @t1486)) @t426 (= @t4522 (tptp.hAPP @t5468 @t5374))))) % 6.43/6.70 (define @t5838 () (tptp.hAPP @t4073 @t42)) % 6.43/6.70 (define @t5839 () (tptp.c_Wellfounded_Oacc @t8 @t393)) % 6.43/6.70 (define @t5840 () (tptp.hAPP @t4073 @t2085)) % 6.43/6.70 (define @t5841 () (@list @t393 @t61 @t8)) % 6.43/6.70 (define @t5842 () (tptp.hBOOL (tptp.hAPP @t136 @t4963))) % 6.43/6.70 (define @t5843 () (tptp.c_List_Olist__ex @t8 @t136 @t4522)) % 6.43/6.70 (define @t5844 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t47 @t106 @t4043 @t8) @t2) @t1) @t61)) % 6.43/6.70 (define @t5845 () (@list @t61 @t1 @t2 @t8 @t4043 @t106 @t47)) % 6.43/6.70 (define @t5846 () (tptp.tc_fun @t4655 @t47)) % 6.43/6.70 (define @t5847 () (tptp.tc_fun @t106 @t4738)) % 6.43/6.70 (define @t5848 () (tptp.hAPP (tptp.c_Random_Oiterate @t47 @t8 @t690 @t2) @t61)) % 6.43/6.70 (define @t5849 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.43/6.70 (define @t5850 () (tptp.c_Random_Olog @t38 @t1165)) % 6.43/6.70 (define @t5851 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 6.43/6.70 (define @t5852 () (tptp.hAPP @t5851 @t1165)) % 6.43/6.70 (define @t5853 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 6.43/6.70 (define @t5854 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5853 @t38) @t3881)) (tptp.hBOOL (tptp.hAPP @t5852 @t38)))) % 6.43/6.70 (define @t5855 () (tptp.c_Random_Ominus__shift @t2242 @t1161 @t1238)) % 6.43/6.70 (define @t5856 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5851 @t1161) @t1238))) % 6.43/6.70 (define @t5857 () (tptp.c_Random_Oinc__shift @t2337 @t1161)) % 6.43/6.70 (define @t5858 () (= @t2337 @t1161)) % 6.43/6.70 (define @t5859 () (tptp.c_Random_Oselect @t8 @t4522)) % 6.43/6.70 (define @t5860 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 6.43/6.70 (define @t5861 () (tptp.c_Product__Type_Ofst @t8 @t5860)) % 6.43/6.70 (define @t5862 () (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 6.43/6.70 (define @t5863 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 6.43/6.70 (define @t5864 () (tptp.hAPP @t4553 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5863 @t8) @t5862) @t4522))) % 6.43/6.70 (define @t5865 () (tptp.c_Random_Oselect__weight @t8 @t4522)) % 6.43/6.70 (define @t5866 () (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 6.43/6.70 (define @t5867 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5863 tptp.tc_Code__Numeral_Ocode__numeral) @t5866) @t4522))) % 6.43/6.70 (define @t5868 () (tptp.hAPP @t5851 @t3866)) % 6.43/6.70 (define @t5869 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 6.43/6.70 (define @t5870 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 @t5863) (tptp.hAPP @t5869 @t3881)) @t4522)) % 6.43/6.70 (define @t5871 () (tptp.c_List_Olist_OCons @t5863)) % 6.43/6.70 (define @t5872 () (tptp.hAPP (tptp.c_List_Ofilter @t5863 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral @t8 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t55 tptp.tc_Code__Numeral_Ocode__numeral) @t1473) @t5868))) @t4522)) % 6.43/6.70 (define @t5873 () (tptp.c_Random_Opick @t8 @t4522)) % 6.43/6.70 (define @t5874 () (tptp.hAPP @t5866 @t132)) % 6.43/6.70 (define @t5875 () (tptp.hAPP (tptp.c_Random_Opick @t8 (tptp.hAPP (tptp.hAPP @t5871 @t132) @t4704)) @t1165)) % 6.43/6.70 (define @t5876 () (tptp.hBOOL (tptp.hAPP @t5852 @t5874))) % 6.43/6.70 (define @t5877 () (tptp.tc_prod @t8 @t5860)) % 6.43/6.70 (define @t5878 () (tptp.hAPP (tptp.c_COMBB @t8 (tptp.tc_fun @t5860 @t5877) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t8 @t5860))) % 6.43/6.70 (define @t5879 () (tptp.c_Product__Type_Oscomp @t5860 tptp.tc_Code__Numeral_Ocode__numeral @t5860 @t5877)) % 6.43/6.70 (define @t5880 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t64)) % 6.43/6.70 (define @t5881 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1634 @t64) @t1624))) % 6.43/6.70 (define @t5882 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1152)) % 6.43/6.70 (define @t5883 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1153)) % 6.43/6.70 (define @t5884 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 6.43/6.70 (define @t5885 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t337)) % 6.43/6.70 (define @t5886 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t692)) % 6.43/6.70 (define @t5887 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t2094)) % 6.43/6.70 (define @t5888 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1152)) % 6.43/6.70 (define @t5889 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1153)) % 6.43/6.70 (define @t5890 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1161)) % 6.43/6.70 (define @t5891 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t337)) % 6.43/6.70 (define @t5892 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t692)) % 6.43/6.70 (define @t5893 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t61)) % 6.43/6.70 (define @t5894 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1165)) % 6.43/6.70 (define @t5895 () (tptp.hAPP (tptp.hAPP @t3882 @t1153) @t1152)) % 6.43/6.70 (define @t5896 () (@var "V_xq_2" $$unsorted)) % 6.43/6.70 (define @t5897 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 6.43/6.70 (define @t5898 () (tptp.hAPP @t4289 (tptp.hAPP @t4371 @t692))) % 6.43/6.70 (define @t5899 () (tptp.c_Transitive__Closure_Otrancl @t8 @t1449)) % 6.43/6.70 (define @t5900 () (forall @t7 (not (tptp.hBOOL (tptp.hAPP @t4077 @t5899))))) % 6.43/6.70 (define @t5901 () (tptp.hBOOL (tptp.hAPP @t4399 @t5899))) % 6.43/6.70 (define @t5902 () (tptp.hAPP @t4029 @t5899)) % 6.43/6.70 (define @t5903 () (tptp.hAPP @t4076 @t2866)) % 6.43/6.70 (define @t5904 () (tptp.hBOOL (tptp.hAPP @t5903 @t5899))) % 6.43/6.70 (define @t5905 () (tptp.hBOOL (tptp.hAPP @t5903 @t1449))) % 6.43/6.70 (define @t5906 () (@list @t1449 @t2866 @t8)) % 6.43/6.70 (define @t5907 () (tptp.hAPP @t4076 (tptp.hAPP @t4242 @t18))) % 6.43/6.70 (define @t5908 () (tptp.hBOOL (tptp.hAPP @t5907 @t5899))) % 6.43/6.70 (define @t5909 () (tptp.hAPP @t4073 @t109)) % 6.43/6.70 (define @t5910 () (tptp.hAPP @t4076 (tptp.hAPP @t5909 @t18))) % 6.43/6.70 (define @t5911 () (=> (tptp.hBOOL (tptp.hAPP @t5910 @t5899)) @t5908)) % 6.43/6.70 (define @t5912 () (@list @t18 @t1449 @t109 @t13 @t8)) % 6.43/6.70 (define @t5913 () (tptp.hBOOL (tptp.hAPP @t5910 @t1449))) % 6.43/6.70 (define @t5914 () (=> @t5913 @t5908)) % 6.43/6.70 (define @t5915 () (tptp.c_Transitive__Closure_Otrancl @t8 @t393)) % 6.43/6.70 (define @t5916 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t1449)) % 6.43/6.70 (define @t5917 () (tptp.hAPP @t4386 @t5899)) % 6.43/6.70 (define @t5918 () (tptp.hAPP @t4440 @t61)) % 6.43/6.70 (define @t5919 () (tptp.hAPP (tptp.hAPP @t4379 @t5918) @t1449)) % 6.43/6.70 (define @t5920 () (@list @t1449 @t61 @t64 @t8)) % 6.43/6.70 (define @t5921 () (tptp.c_Relation_OId @t8)) % 6.43/6.70 (define @t5922 () (tptp.hAPP @t4387 @t5921)) % 6.43/6.70 (define @t5923 () (tptp.hBOOL (tptp.hAPP @t4399 @t5916))) % 6.43/6.70 (define @t5924 () (tptp.c_List_Olistrel @t8 @t5916)) % 6.43/6.70 (define @t5925 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t393)) % 6.43/6.70 (define @t5926 () (tptp.hAPP (tptp.hAPP @t5755 @t1449) @t5916)) % 6.43/6.70 (define @t5927 () (tptp.hAPP (tptp.hAPP @t5755 @t5916) @t1449)) % 6.43/6.70 (define @t5928 () (tptp.hBOOL (tptp.hAPP @t4178 @t5915))) % 6.43/6.70 (define @t5929 () (tptp.hBOOL (tptp.hAPP @t4178 @t5925))) % 6.43/6.70 (define @t5930 () (@list @t393 @t64 @t61 @t8)) % 6.43/6.70 (define @t5931 () (tptp.hBOOL (tptp.hAPP @t5910 @t5916))) % 6.43/6.70 (define @t5932 () (=> @t5931 @t5908)) % 6.43/6.70 (define @t5933 () (tptp.hAPP @t4076 (tptp.hAPP @t4177 @t315))) % 6.43/6.70 (define @t5934 () (tptp.hBOOL (tptp.hAPP @t4178 @t5916))) % 6.43/6.70 (define @t5935 () (tptp.hBOOL (tptp.hAPP @t5907 @t5916))) % 6.43/6.70 (define @t5936 () (=> @t5931 @t5935)) % 6.43/6.70 (define @t5937 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t1660)) % 6.43/6.70 (define @t5938 () (tptp.hAPP @t4029 @t5916)) % 6.43/6.70 (define @t5939 () (tptp.hBOOL (tptp.hAPP @t5938 @t5937))) % 6.43/6.70 (define @t5940 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t392)) % 6.43/6.70 (define @t5941 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t5777)) % 6.43/6.70 (define @t5942 () (tptp.hAPP @t4386 @t5925)) % 6.43/6.70 (define @t5943 () (tptp.hAPP @t5942 @t5940)) % 6.43/6.70 (define @t5944 () (tptp.hAPP @t4076 @t61)) % 6.43/6.70 (define @t5945 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t4028) @t1449) @t5921)) % 6.43/6.70 (define @t5946 () (tptp.hBOOL (tptp.hAPP @t4969 @t5924))) % 6.43/6.70 (define @t5947 () (tptp.c_Transitive__Closure_Ortrancl @t4514 @t5019)) % 6.43/6.70 (define @t5948 () (tptp.hBOOL (tptp.hAPP @t4969 @t5947))) % 6.43/6.70 (define @t5949 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t5909 @t13)) @t5916))) % 6.43/6.70 (define @t5950 () (not @t5934)) % 6.43/6.70 (define @t5951 () (tptp.hAPP @t4076 (tptp.hAPP @t4177 @t61))) % 6.43/6.70 (define @t5952 () (tptp.c_Relation_Oconverse @t8 @t8)) % 6.43/6.70 (define @t5953 () (tptp.hAPP @t5952 @t1449)) % 6.43/6.70 (define @t5954 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 @t5918) @t5916))) % 6.43/6.70 (define @t5955 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t5953)) % 6.43/6.70 (define @t5956 () (tptp.hBOOL (tptp.hAPP @t4178 @t5955))) % 6.43/6.70 (define @t5957 () (tptp.hAPP (tptp.c_Relation_Oconverse @t4514 @t4514) @t5019)) % 6.43/6.70 (define @t5958 () (tptp.c_List_Olistrel1 @t8 @t5953)) % 6.43/6.70 (define @t5959 () (tptp.hAPP @t4326 (tptp.hAPP (tptp.hAPP @t4179 @t109) @t13))) % 6.43/6.70 (define @t5960 () (tptp.hBOOL (tptp.hAPP @t5959 @t1449))) % 6.43/6.70 (define @t5961 () (tptp.c_Relation_Oconverse @t47 @t8)) % 6.43/6.70 (define @t5962 () (tptp.hAPP @t5961 @t1449)) % 6.43/6.70 (define @t5963 () (tptp.hBOOL (tptp.hAPP @t3991 @t5962))) % 6.43/6.70 (define @t5964 () (tptp.hAPP (tptp.c_Relation_Oconverse @t8 @t47) @t1449)) % 6.43/6.70 (define @t5965 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4327 @t1470 @t106) @t5961) @t1449)) % 6.43/6.70 (define @t5966 () (@list @t1449 @t392 @t106 @t8 @t47)) % 6.43/6.70 (define @t5967 () (tptp.hAPP (tptp.hAPP @t5755 @t5953) @t1449)) % 6.43/6.70 (define @t5968 () (= @t5967 @t1449)) % 6.43/6.70 (define @t5969 () (@list @t1660 @t1449 @t106 @t8 @t47)) % 6.43/6.70 (define @t5970 () (tptp.hAPP @t5961 @t1660)) % 6.43/6.70 (define @t5971 () (@list @t1660 @t1449 @t8 @t47)) % 6.43/6.70 (define @t5972 () (tptp.hAPP @t5810 @t5962)) % 6.43/6.70 (define @t5973 () (tptp.hAPP @t5952 @t5899)) % 6.43/6.70 (define @t5974 () (tptp.hBOOL (tptp.hAPP @t4178 @t5973))) % 6.43/6.70 (define @t5975 () (tptp.c_Transitive__Closure_Otrancl @t8 @t5953)) % 6.43/6.70 (define @t5976 () (tptp.hBOOL (tptp.hAPP @t4178 @t5975))) % 6.43/6.70 (define @t5977 () (tptp.c_Wellfounded_Owf @t8 @t5953)) % 6.43/6.70 (define @t5978 () (tptp.tc_fun @t47 @t4328)) % 6.43/6.70 (define @t5979 () (tptp.c_Relation_Ototal__on @t8 @t51 @t1449)) % 6.43/6.70 (define @t5980 () (tptp.c_Relation_Osingle__valued @t8 @t47 @t1449)) % 6.43/6.70 (define @t5981 () (tptp.hAPP @t5711 @t2085)) % 6.43/6.70 (define @t5982 () (tptp.c_Nat_Ocompow @t4027 tptp.tc_HOL_Obool)) % 6.43/6.70 (define @t5983 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t4028) @t1624) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4028 @t4028) @t5982) @t393))) % 6.43/6.70 (define @t5984 () (tptp.hBOOL (tptp.hAPP @t5903 @t5925))) % 6.43/6.70 (define @t5985 () (@list @t393 @t2866 @t8)) % 6.43/6.70 (define @t5986 () (tptp.hAPP (tptp.hAPP @t5982 @t692) @t393)) % 6.43/6.70 (define @t5987 () (@list @t692 @t393 @t8)) % 6.43/6.70 (define @t5988 () (tptp.c_Nat_Ocompow @t8 @t8)) % 6.43/6.70 (define @t5989 () (tptp.hAPP @t5988 @t692)) % 6.43/6.70 (define @t5990 () (tptp.hAPP @t5989 @t2)) % 6.43/6.70 (define @t5991 () (@list @t393 @t692 @t8)) % 6.43/6.70 (define @t5992 () (tptp.hAPP (tptp.hAPP @t5988 @t337) @t2)) % 6.43/6.70 (define @t5993 () (tptp.hAPP (tptp.hAPP @t5755 @t5986) @t393)) % 6.43/6.70 (define @t5994 () (tptp.hAPP (tptp.hAPP @t5982 @t1780) @t393)) % 6.43/6.70 (define @t5995 () (tptp.hBOOL (tptp.hAPP @t5933 @t5994))) % 6.43/6.70 (define @t5996 () (tptp.hAPP (tptp.hAPP @t5982 @t2094) @t393)) % 6.43/6.70 (define @t5997 () (tptp.hBOOL (tptp.hAPP @t5903 (tptp.hAPP (tptp.hAPP @t5982 @t1714) @t393)))) % 6.43/6.70 (define @t5998 () (tptp.hAPP (tptp.hAPP @t5982 @t1633) @t393)) % 6.43/6.70 (define @t5999 () (tptp.hAPP @t4076 (tptp.hAPP @t5838 @t315))) % 6.43/6.70 (define @t6000 () (tptp.hAPP @t4076 (tptp.hAPP @t4177 @t42))) % 6.43/6.70 (define @t6001 () (tptp.hBOOL (tptp.hAPP @t6000 @t393))) % 6.43/6.70 (define @t6002 () (@list @t42 @t1633)) % 6.43/6.70 (define @t6003 () (=> @t2145 (not @t1986))) % 6.43/6.70 (define @t6004 () (tptp.hBOOL (tptp.hAPP @t5933 @t5986))) % 6.43/6.70 (define @t6005 () (@list @t393 @t692 @t315 @t61 @t8)) % 6.43/6.70 (define @t6006 () (not (tptp.hBOOL (tptp.hAPP @t5999 @t393)))) % 6.43/6.70 (define @t6007 () (@var "V_seed_2" $$unsorted)) % 6.43/6.70 (define @t6008 () (@var "V_size_2" $$unsorted)) % 6.43/6.70 (define @t6009 () (@var "V_nrandom_2" $$unsorted)) % 6.43/6.70 (define @t6010 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t393 @t6009) @t6008) @t6007)) % 6.43/6.70 (define @t6011 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t136)) % 6.43/6.70 (define @t6012 () (tptp.hBOOL (tptp.hAPP @t4399 @t6011))) % 6.43/6.70 (define @t6013 () (tptp.hBOOL (tptp.hAPP @t4399 (tptp.c_Transitive__Closure_Ortrancl @t8 (tptp.hAPP (tptp.hAPP @t4386 @t136) @t135))))) % 6.43/6.70 (define @t6014 () (@list @t135 @t136 @t109 @t13 @t8)) % 6.43/6.70 (define @t6015 () (tptp.hAPP @t4076 (tptp.hAPP @t5838 @t3))) % 6.43/6.70 (define @t6016 () (tptp.hBOOL (tptp.hAPP @t5999 @t5986))) % 6.43/6.70 (define @t6017 () (tptp.hAPP @t4076 (tptp.hAPP @t5840 @t64))) % 6.43/6.70 (define @t6018 () (tptp.hAPP @t4076 (tptp.hAPP @t4177 @t2085))) % 6.43/6.70 (define @t6019 () (tptp.hBOOL (tptp.hAPP @t1207 @t2734))) % 6.43/6.70 (define @t6020 () (= @t4522 (tptp.hAPP (tptp.hAPP @t5302 @t5143) (tptp.hAPP @t5049 @t5719)))) % 6.43/6.70 (define @t6021 () (@list @t5143 @t5719)) % 6.43/6.70 (define @t6022 () (@var "B_Q" $$unsorted)) % 6.43/6.70 (define @t6023 () (tptp.hBOOL (tptp.hAPP @t232 @t6022))) % 6.43/6.70 (define @t6024 () (@var "V_yx_2" $$unsorted)) % 6.43/6.70 (define @t6025 () (@var "V_xz_2" $$unsorted)) % 6.43/6.70 (define @t6026 () (tptp.c_Nitpick_Odenom @t8)) % 6.43/6.70 (define @t6027 () (tptp.hAPP @t6026 @t1449)) % 6.43/6.70 (define @t6028 () (tptp.hAPP @t2963 @t2754)) % 6.43/6.70 (define @t6029 () (tptp.c_Nitpick_Onum @t8)) % 6.43/6.70 (define @t6030 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.43/6.70 (define @t6031 () (tptp.hAPP @t6026 @t2967)) % 6.43/6.70 (define @t6032 () (@list @t1449 @t2967 @t8)) % 6.43/6.70 (define @t6033 () (tptp.hAPP @t6026 @t2440)) % 6.43/6.70 (define @t6034 () (tptp.hAPP @t6029 @t2440)) % 6.43/6.70 (define @t6035 () (tptp.c_Int_Oring__1__class_Oof__int @t47)) % 6.43/6.70 (define @t6036 () (@list @t2440 @t8)) % 6.43/6.70 (define @t6037 () (tptp.hAPP @t6029 (tptp.c_Nitpick_Oplus__frac @t8 @t2967 (tptp.c_Nitpick_Ouminus__frac @t8 @t1449)))) % 6.43/6.70 (define @t6038 () (tptp.c_Nitpick_ORep__Frac @t8)) % 6.43/6.70 (define @t6039 () (tptp.hAPP @t909 @t2107)) % 6.43/6.70 (define @t6040 () (tptp.class_Rings_Olinordered__semidom @t47)) % 6.43/6.70 (define @t6041 () (tptp.c_List_Olist__all @t8 @t136 @t4522)) % 6.43/6.70 (define @t6042 () (tptp.c_List_Olist__ex1 @t8 @t136 @t4522)) % 6.43/6.70 (define @t6043 () (tptp.c_FunDef_Ois__measure @t8 @t2)) % 6.43/6.70 (define @t6044 () (@list @t47 @t2 @t8)) % 6.43/6.70 (define @t6045 () (tptp.c_HOL_Oequal__class_Oequal @t8)) % 6.43/6.70 (define @t6046 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 6.43/6.70 (define @t6047 () (tptp.c_Lazy__Sequence_Oyield @t8)) % 6.43/6.70 (define @t6048 () (tptp.hAPP @t6047 @t5896)) % 6.43/6.70 (define @t6049 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t8)) % 6.43/6.70 (define @t6050 () (tptp.c_Nat_Osize__class_Osize @t6049)) % 6.43/6.70 (define @t6051 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3199 @t6049) @t1000)) % 6.43/6.70 (define @t6052 () (tptp.c_COMBC @t6049 tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.43/6.70 (define @t6053 () (tptp.tc_fun @t6049 tptp.tc_Nat_Onat)) % 6.43/6.70 (define @t6054 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t6049 tptp.tc_Nat_Onat)) % 6.43/6.70 (define @t6055 () (tptp.tc_prod @t8 @t6049)) % 6.43/6.70 (define @t6056 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 tptp.tc_Code__Numeral_Ocode__numeral @t6049) @t2) @t1034)) % 6.43/6.70 (define @t6057 () (tptp.hAPP @t61 (tptp.hAPP (tptp.hAPP @t3882 @t1034) @t3881))) % 6.43/6.70 (define @t6058 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t47 @t8 @t61 @t2) @t1034)) % 6.43/6.70 (define @t6059 () (= @t1034 @t3866)) % 6.43/6.70 (define @t6060 () (not @t6059)) % 6.43/6.70 (define @t6061 () (tptp.c_Lazy__Sequence_Oempty @t8)) % 6.43/6.70 (define @t6062 () (@list @t2 @t61 @t8 @t47 @t1034)) % 6.43/6.70 (define @t6063 () (tptp.c_HOL_Oequal__class_Oequal tptp.tc_Int_Oint)) % 6.43/6.70 (define @t6064 () (tptp.hAPP @t6063 tptp.c_Int_OPls)) % 6.43/6.70 (define @t6065 () (tptp.hAPP @t6063 tptp.c_Int_OMin)) % 6.43/6.70 (define @t6066 () (tptp.hAPP @t6063 @t3647)) % 6.43/6.70 (define @t6067 () (tptp.hAPP @t6063 @t3650)) % 6.43/6.70 (define @t6068 () (@list @t3647)) % 6.43/6.70 (define @t6069 () (@list @t3646)) % 6.43/6.70 (define @t6070 () (@var "V_k1" $$unsorted)) % 6.43/6.70 (define @t6071 () (tptp.hAPP @t6063 (tptp.c_Int_OBit0 @t6070))) % 6.43/6.70 (define @t6072 () (@list @t6070)) % 6.43/6.70 (define @t6073 () (@var "V_k2" $$unsorted)) % 6.43/6.70 (define @t6074 () (tptp.c_Int_OBit0 @t6073)) % 6.43/6.70 (define @t6075 () (@list @t6073)) % 6.43/6.70 (define @t6076 () (tptp.hAPP @t6063 (tptp.c_Int_OBit1 @t6070))) % 6.43/6.70 (define @t6077 () (tptp.c_Int_OBit1 @t6073)) % 6.43/6.70 (define @t6078 () (tptp.hBOOL (tptp.hAPP @t6066 @t3646))) % 6.43/6.70 (define @t6079 () (tptp.hAPP @t6063 @t3816)) % 6.43/6.70 (define @t6080 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6063 @t690) @t1653))) % 6.43/6.70 (define @t6081 () (@list @t6073 @t6070)) % 6.43/6.70 (define @t6082 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t8 @t1660)) % 6.43/6.70 (define @t6083 () (tptp.tc_fun @t6049 @t3199)) % 6.43/6.70 (define @t6084 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6049)) % 6.43/6.70 (define @t6085 () (tptp.tc_fun @t5860 @t6084)) % 6.43/6.70 (define @t6086 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6085)) % 6.43/6.70 (define @t6087 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t5860 @t6084) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 tptp.tc_Code__Numeral_Ocode__numeral @t6085) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 tptp.tc_Code__Numeral_Ocode__numeral @t6086) @t2) @t6009)) @t6008)) @t6007)) % 6.43/6.70 (define @t6088 () (@list @t6007 @t6008 @t6009 @t2 @t393 @t8 @t47)) % 6.43/6.70 (define @t6089 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t47)) % 6.43/6.70 (define @t6090 () (@var "V_i_1" $$unsorted)) % 6.43/6.70 (define @t6091 () (tptp.c_New__DSequence_Opos__empty @t8)) % 6.43/6.70 (define @t6092 () (tptp.hAPP @t61 @t1034)) % 6.43/6.70 (define @t6093 () (@list @t1034 @t2 @t61 @t8 @t47)) % 6.43/6.70 (define @t6094 () (@var "V_lazy__sequence" $$unsorted)) % 6.43/6.70 (define @t6095 () (@var "V_lazy__sequence_2" $$unsorted)) % 6.43/6.70 (define @t6096 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t8 @t2351)) % 6.43/6.70 (define @t6097 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t13 @t6095)) % 6.43/6.70 (define @t6098 () (@var "V_xq" $$unsorted)) % 6.43/6.70 (define @t6099 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t132 @t6098)) % 6.43/6.70 (define @t6100 () (@var "V_lazy__sequence_H_2" $$unsorted)) % 6.43/6.70 (define @t6101 () (tptp.c_New__Random__Sequence_Opos__single @t8)) % 6.43/6.70 (define @t6102 () (@list @t136 @t2 @t8 @t47)) % 6.43/6.70 (define @t6103 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t687)) % 6.43/6.70 (define @t6104 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 tptp.tc_Code__Numeral_Ocode__numeral @t6103) @t2) @t1034)) % 6.43/6.70 (define @t6105 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t47 @t8 @t61 @t2) @t1034)) % 6.43/6.70 (define @t6106 () (tptp.c_Lazy__Sequence_Ohit__bound @t8)) % 6.43/6.70 (define @t6107 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6103)) % 6.43/6.70 (define @t6108 () (tptp.tc_fun @t5860 @t6107)) % 6.43/6.70 (define @t6109 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6108)) % 6.43/6.70 (define @t6110 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t5860 @t6107) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 tptp.tc_Code__Numeral_Ocode__numeral @t6108) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 tptp.tc_Code__Numeral_Ocode__numeral @t6109) @t2) @t6009)) @t6008)) @t6007)) % 6.43/6.70 (define @t6111 () (@list @t6007 @t6008 @t6009 @t61 @t8)) % 6.43/6.70 (define @t6112 () (@list @t6090 @t132 @t8)) % 6.43/6.70 (define @t6113 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t1469)) % 6.43/6.70 (define @t6114 () (tptp.tc_fun @t47 @t6113)) % 6.43/6.70 (define @t6115 () (@var "V_s2_2" $$unsorted)) % 6.51/6.70 (define @t6116 () (@var "V_s1_2" $$unsorted)) % 6.51/6.70 (define @t6117 () (tptp.c_New__Random__Sequence_Oneg__single @t8)) % 6.51/6.70 (define @t6118 () (tptp.c_Lazy__Sequence_Osingle @t4514)) % 6.51/6.70 (define @t6119 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t4514)) % 6.51/6.70 (define @t6120 () (tptp.hAPP (tptp.hAPP @t2494 @t116) @t2453)) % 6.51/6.70 (define @t6121 () (tptp.class_Lazy__Sequence_Osmall__lazy @t8)) % 6.51/6.70 (define @t6122 () (@var "V_yq" $$unsorted)) % 6.51/6.70 (define @t6123 () (@var "V_yq_2" $$unsorted)) % 6.51/6.70 (define @t6124 () (tptp.hAPP @t5896 @t1034)) % 6.51/6.70 (define @t6125 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4137 @t6009) @t6008) @t6007)) % 6.51/6.70 (define @t6126 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4136 @t6009) @t6008) @t6007)) % 6.51/6.70 (define @t6127 () (@list @t6007 @t6008 @t6009 @t4137 @t4136 @t8)) % 6.51/6.70 (define @t6128 () (tptp.c_Lazy__Sequence_Osingle tptp.tc_Int_Oint)) % 6.51/6.70 (define @t6129 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t446 @t1165)) % 6.51/6.70 (define @t6130 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t446) @t1165))) % 6.51/6.70 (define @t6131 () (tptp.c_Lazy__Sequence_Oempty tptp.tc_Int_Oint)) % 6.51/6.70 (define @t6132 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t116 @t1034)) % 6.51/6.70 (define @t6133 () (tptp.c_Wellfounded_Oaccp @t3899 tptp.c_Lazy__Sequence_Osmall__lazy_H__rel)) % 6.51/6.70 (define @t6134 () (@var "V_xqq_2" $$unsorted)) % 6.51/6.70 (define @t6135 () (tptp.c_List_Osplice @t8 @t4704 @t4703)) % 6.51/6.70 (define @t6136 () (tptp.c_Predicate_Oconversep @t47 @t8 @t1660)) % 6.51/6.70 (define @t6137 () (tptp.c_Predicate_Oconversep @t47 @t8 @t1449)) % 6.51/6.70 (define @t6138 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1449 @t109) @t13))) % 6.51/6.70 (define @t6139 () (tptp.c_Predicate_Oconversep @t8 @t47 @t1449)) % 6.51/6.70 (define @t6140 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6139 @t13) @t109))) % 6.51/6.70 (define @t6141 () (@list @t109 @t13 @t1449 @t47 @t8)) % 6.51/6.70 (define @t6142 () (@var "V_va" $$unsorted)) % 6.51/6.70 (define @t6143 () (tptp.hAPP (tptp.hAPP @t5046 @t2337) @t6142)) % 6.51/6.70 (define @t6144 () (tptp.c_List_Oreplicate @t8 @t1153 @t132)) % 6.51/6.70 (define @t6145 () (@list @t132 @t8 @t1153)) % 6.51/6.70 (define @t6146 () (tptp.hAPP @t5302 @t6144)) % 6.51/6.70 (define @t6147 () (tptp.c_List_Oreplicate @t8 @t692 @t64)) % 6.51/6.70 (define @t6148 () (tptp.hAPP @t1983 @t1165)) % 6.51/6.70 (define @t6149 () (tptp.c_List_Oreplicate @t8 @t1161 @t132)) % 6.51/6.70 (define @t6150 () (@list @t132 @t1161 @t1165 @t8)) % 6.51/6.70 (define @t6151 () (tptp.hBOOL (tptp.hAPP @t232 (tptp.hAPP @t4553 (tptp.c_List_Oreplicate @t8 @t692 @t13))))) % 6.51/6.70 (define @t6152 () (@list @t136 @t13 @t692 @t8)) % 6.51/6.70 (define @t6153 () (@list @t132 @t1153 @t8)) % 6.51/6.70 (define @t6154 () (tptp.c_List_Oreplicate @t8 @t692 @t61)) % 6.51/6.70 (define @t6155 () (@list @t61 @t692 @t8)) % 6.51/6.70 (define @t6156 () (tptp.hAPP @t5468 @t6154)) % 6.51/6.70 (define @t6157 () (tptp.c_List_Oreplicate @t8 @t1165 @t132)) % 6.51/6.70 (define @t6158 () (@var "V_lst_2" $$unsorted)) % 6.51/6.70 (define @t6159 () (tptp.hAPP (tptp.c_List_Ofilter @t8 @t523) @t4522)) % 6.51/6.70 (define @t6160 () (tptp.hAPP @t4553 @t6154)) % 6.51/6.70 (define @t6161 () (=> @t2146 (= @t6160 @t129))) % 6.51/6.70 (define @t6162 () (@list @t61 @t8 @t692)) % 6.51/6.70 (define @t6163 () (@var "B_e" $$unsorted)) % 6.51/6.70 (define @t6164 () (tptp.c_List_Omember @t8)) % 6.51/6.70 (define @t6165 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6164 @t4522) @t61))) % 6.51/6.70 (define @t6166 () (@var "T_1" $$unsorted)) % 6.51/6.70 (define @t6167 () (@var "T_2" $$unsorted)) % 6.51/6.70 (define @t6168 () (tptp.tc_fun @t6167 @t6166)) % 6.51/6.70 (define @t6169 () (tptp.class_Lattices_Obounded__lattice @t6166)) % 6.51/6.70 (define @t6170 () (@list @t6167 @t6166)) % 6.51/6.70 (define @t6171 () (tptp.class_Lattices_Olattice @t6166)) % 6.51/6.70 (define @t6172 () (tptp.class_Finite__Set_Ofinite @t6166)) % 6.51/6.70 (define @t6173 () (and (tptp.class_Finite__Set_Ofinite @t6167) @t6172)) % 6.51/6.70 (define @t6174 () (@list @t6166 @t6167)) % 6.51/6.70 (define @t6175 () (tptp.class_Enum_Oenum @t6167)) % 6.51/6.70 (define @t6176 () (tptp.class_Enum_Oenum @t6166)) % 6.51/6.70 (define @t6177 () (and @t6175 @t6176)) % 6.51/6.70 (define @t6178 () (tptp.tc_List_Olist @t6166)) % 6.51/6.70 (define @t6179 () (tptp.class_Lazy__Sequence_Osmall__lazy @t6166)) % 6.51/6.70 (define @t6180 () (@list @t6166)) % 6.51/6.70 (define @t6181 () (tptp.tc_sum @t6167 @t6166)) % 6.51/6.70 (define @t6182 () (tptp.tc_Option_Ooption @t6166)) % 6.51/6.70 (define @t6183 () (tptp.tc_prod @t6167 @t6166)) % 6.51/6.70 (define @t6184 () (tptp.tc_Hoare__Mirabelle_Otriple @t6166)) % 6.51/6.70 (define @t6185 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t6166)) % 6.51/6.70 (define @t6186 () (@var "V_Q" $$unsorted)) % 6.51/6.70 (define @t6187 () (tptp.hAPP @t135 @t393)) % 6.51/6.70 (define @t6188 () (tptp.hAPP @t136 @t393)) % 6.51/6.70 (define @t6189 () (@list @t393 @t135 @t136 @t8 @t106 @t47)) % 6.51/6.70 (define @t6190 () (tptp.hBOOL (tptp.hAPP @t523 @t64))) % 6.51/6.70 (define @t6191 () (tptp.hBOOL @t136)) % 6.51/6.70 (define @t6192 () (not @t6191)) % 6.51/6.70 (define @t6193 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t136))) % 6.51/6.70 (define @t6194 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t136) @t135))) % 6.51/6.70 (define @t6195 () (tptp.hBOOL @t135)) % 6.51/6.70 (define @t6196 () (not @t6195)) % 6.51/6.70 (define @t6197 () (@list @t135 @t136)) % 6.51/6.70 (define @t6198 () (not @t6194)) % 6.51/6.70 (define @t6199 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t136) @t135))) % 6.51/6.70 (define @t6200 () (@list @t136 @t135)) % 6.51/6.70 (define @t6201 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t136) @t135))) % 6.51/6.70 (define @t6202 () (tptp.hAPP @t39 tptp.v_y)) % 6.51/6.70 (define @t6203 () (tptp.hAPP tptp.c_Com_Obody tptp.v_pn)) % 6.51/6.70 (define @t6204 () (= @t6203 @t6202)) % 6.51/6.70 (define @t6205 () (tptp.hAPP tptp.c_Com_Ocom_OBODY tptp.v_pn)) % 6.51/6.70 (define @t6206 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t17 (tptp.hAPP (tptp.hAPP @t19 (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t6205)) @t17))) % 6.51/6.70 (define @t6207 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t6205))) % 6.51/6.70 (define @t6208 () (or (= @t6203 @t1003) @t6207)) % 6.51/6.70 (define @t6209 () (forall @t1006 (or @t1004 @t1002))) % 6.51/6.70 (define @t6210 () (= @t1003 @t6203)) % 6.51/6.70 (define @t6211 () (or @t6210 @t6207)) % 6.51/6.70 (define @t6212 () (not @t22)) % 6.51/6.70 (define @t6213 () (or @t6212 @t21)) % 6.51/6.70 (define @t6214 () (forall @t25 @t6213)) % 6.51/6.70 (define @t6215 () (not tptp.c_Com_OWT__bodies)) % 6.51/6.70 (define @t6216 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 6.51/6.70 (define @t6217 () (or @t6216 @t6215 @t6213)) % 6.51/6.70 (define @t6218 () (or @t6216 @t6215 @t6212 @t21)) % 6.51/6.70 (define @t6219 () (or @t6215 @t6212 @t21)) % 6.51/6.70 (define @t6220 () (not @t6207)) % 6.51/6.70 (define @t6221 () (or @t6220 @t6206)) % 6.51/6.70 (define @t6222 () (@list true false)) % 6.51/6.70 (define @t6223 () (not @t6210)) % 6.51/6.70 (define @t6224 () (= @t1003 @t6202)) % 6.51/6.70 (define @t6225 () (not @t6204)) % 6.51/6.70 (define @t6226 () (not @t6224)) % 6.51/6.70 (define @t6227 () (and @t6204 @t6226)) % 6.51/6.70 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t7 @t6) (= @t2 @t1)))) % 6.51/6.70 (assume @p2 (forall (@list @t12 @t8) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t11))) % 6.51/6.70 (assume @p3 (forall @t14 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t13 @t11))) % 6.51/6.70 (assume @p4 @t26) % 6.51/6.70 (assume @p5 (forall @t31 (=> @t30 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t29) @t28)))) % 6.51/6.70 (assume @p6 (forall @t37 (=> @t36 (=> @t28 @t35)))) % 6.51/6.70 (assume @p7 (forall @t37 (=> @t35 (and @t36 @t28)))) % 6.51/6.70 (assume @p8 (forall (@list @t38 @t40) (=> tptp.c_Com_OWT__bodies (=> (= @t41 (tptp.hAPP @t39 @t38)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t38)))))) % 6.51/6.70 (assume @p9 (forall (@list @t13) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t13))) (exists @t44 (= (tptp.hAPP tptp.c_Com_Obody @t13) @t43))))) % 6.51/6.70 (assume @p10 (forall (@list @t18 @t12) (=> tptp.c_Hoare__Mirabelle_Ostate__not__singleton (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t3) @t45)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t12 (tptp.hAPP (tptp.hAPP @t19 (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t3))) @t17)))) (=> @t22 (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t12 @t20)))))) % 6.51/6.70 (assume @p11 (forall @t59 (and (=> @t57 (= @t53 @t49)) (=> @t58 @t54)))) % 6.51/6.70 (assume @p12 (forall (@list @t47 @t64 @t8 @t61 @t2) (=> (= @t67 @t66) (= @t63 @t60)))) % 6.51/6.70 (assume @p13 (forall (@list @t12 @t68) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate (tptp.hAPP @t70 @t12) (tptp.hAPP (tptp.hAPP @t19 (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t72)) @t17)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t12 (tptp.hAPP @t70 @t17))))) % 6.51/6.70 (assume @p14 (forall @t76 (=> @t75 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t74) @t61) @t73)))) % 6.51/6.70 (assume @p15 (forall (@list @t77 @t13 @t2 @t8 @t47) (= (tptp.hAPP @t78 @t83) (tptp.hAPP (tptp.hAPP @t81 @t80) @t79)))) % 6.51/6.70 (assume @p16 (forall @t86 (= (= @t56 @t85) @t84))) % 6.51/6.70 (assume @p17 (forall @t87 (= (tptp.hAPP @t78 @t49) @t56))) % 6.51/6.70 (assume @p18 (forall @t88 (= (= @t85 @t56) @t84))) % 6.51/6.70 (assume @p19 (forall @t91 (not (= @t56 @t90)))) % 6.51/6.70 (assume @p20 (forall (@list @t61 @t51 @t64 @t8) (= (tptp.hBOOL (tptp.hAPP @t96 @t61)) (or @t94 @t93)))) % 6.51/6.70 (assume @p21 (forall @t99 (= (tptp.hAPP @t97 @t96) (tptp.hAPP @t95 @t98)))) % 6.51/6.70 (assume @p22 (forall @t100 (= (tptp.hAPP @t97 @t98) @t98))) % 6.51/6.70 (assume @p23 (forall (@list @t101 @t102) (= (= @t105 @t104) @t103))) % 6.51/6.70 (assume @p24 (forall (@list @t51 @t1 @t106 @t2 @t8 @t47) (= (tptp.hAPP @t78 (tptp.hAPP @t108 @t51)) (tptp.hAPP (tptp.c_Set_Oimage @t106 @t8 (tptp.hAPP (tptp.hAPP @t107 @t2) @t1)) @t51)))) % 6.51/6.70 (assume @p25 (forall @t114 (=> (= @t113 @t112) @t110))) % 6.51/6.70 (assume @p26 (forall @t122 (= (= @t121 (tptp.hAPP @t120 (tptp.hAPP (tptp.hAPP @t81 @t116) @t56))) (or @t119 (and (= @t13 @t116) @t115))))) % 6.51/6.70 (assume @p27 (forall @t91 (not (= @t90 @t56)))) % 6.51/6.70 (assume @p28 (forall (@list @t123) (=> tptp.c_Hoare__Mirabelle_Ostate__not__singleton (=> tptp.c_Com_OWT__bodies (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16) @t123) (tptp.hAPP @t128 @t45))) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t126 @t123)))))) % 6.51/6.70 (assume @p29 (forall @t130 (= (tptp.c_Set_Othe__elem @t8 @t129) @t61))) % 6.51/6.70 (assume @p30 (forall (@list @t131) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t131))) (not (forall @t44 (not (= (tptp.hAPP tptp.c_Com_Obody @t131) @t43))))))) % 6.51/6.70 (assume @p31 (forall @t134 (= (tptp.hAPP @t133 (tptp.hAPP @t65 @t132)) @t132))) % 6.51/6.70 (assume @p32 (forall (@list @t12 @t135 @t68 @t136 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 (tptp.hAPP @t140 @t12) @t143) @t141))) % 6.51/6.70 (assume @p33 (forall (@list @t135 @t68 @t136 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t143) @t141))) % 6.51/6.70 (assume @p34 (forall @t146 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t8 @t145) @t144) @t144))) % 6.51/6.70 (assume @p35 (forall @t130 (= (tptp.c_Option_Oset @t8 @t147) @t129))) % 6.51/6.70 (assume @p36 (forall (@list @t148 @t12) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t16) @t12) @t149) (tptp.hAPP @t128 @t148)) (=> (tptp.hBOOL (tptp.hAPP @t150 @t148)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t12 @t149))))) % 6.51/6.70 (assume @p37 (forall (@list @t151 @t13 @t8) (= (= @t153 (tptp.hAPP @t65 @t151)) @t152))) % 6.51/6.70 (assume @p38 (forall (@list @t18 @t47 @t51 @t61 @t8) (=> @t156 @t54))) % 6.51/6.70 (assume @p39 (forall (@list @t13 @t136 @t157) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t157 @t136 @t13))) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t136)))))) % 6.51/6.70 (assume @p40 (forall @t134 (=> @t160 (tptp.hBOOL (tptp.hAPP @t159 @t132))))) % 6.51/6.70 (assume @p41 (forall (@list @t18 @t8 @t77 @t51) (=> @t168 (=> @t167 (not @t165))))) % 6.51/6.70 (assume @p42 (forall @t174 (=> @t173 (=> @t171 @t168)))) % 6.51/6.70 (assume @p43 (forall @t14 (not (tptp.hBOOL (tptp.hAPP @t175 @t56))))) % 6.51/6.70 (assume @p44 (forall @t180 (=> @t179 (=> @t177 @t176)))) % 6.51/6.70 (assume @p45 (forall @t185 (=> (=> @t184 @t110) @t182))) % 6.51/6.70 (assume @p46 (forall @t187 (=> @t173 @t186))) % 6.51/6.70 (assume @p47 (forall (@list @t8 @t51 @t47 @t61 @t2 @t109) (=> @t192 (=> @t191 (tptp.hBOOL (tptp.hAPP @t188 @t85)))))) % 6.51/6.70 (assume @p48 (forall @t197 (=> @t196 @t165))) % 6.51/6.70 (assume @p49 (forall @t198 (=> (=> @t166 @t163) @t196))) % 6.51/6.70 (assume @p50 (forall @t199 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t56) @t51)))) % 6.51/6.70 (assume @p51 (forall @t199 (tptp.hBOOL (tptp.hAPP @t172 @t51)))) % 6.51/6.70 (assume @p52 (forall @t174 (tptp.hBOOL (tptp.hAPP @t172 @t195)))) % 6.51/6.70 (assume @p53 (forall @t200 (tptp.hBOOL (tptp.hAPP @t170 @t195)))) % 6.51/6.70 (assume @p54 (forall @t199 (= (tptp.hAPP @t194 @t51) @t51))) % 6.51/6.70 (assume @p55 (forall @t207 (=> @t206 (= @t205 (forall @t7 @t202))))) % 6.51/6.70 (assume @p56 (forall @t100 (= @t156 @t93))) % 6.51/6.70 (assume @p57 (forall @t174 (= @t195 @t209))) % 6.51/6.70 (assume @p58 (forall @t215 (=> @t214 (or @t213 @t212)))) % 6.51/6.70 (assume @p59 (forall @t174 (= @t173 @t216))) % 6.51/6.70 (assume @p60 (forall @t217 (= @t168 (and @t173 @t171)))) % 6.51/6.70 (assume @p61 (forall @t224 (=> @t223 (= @t222 (and @t221 @t219))))) % 6.51/6.70 (assume @p62 (forall @t174 (= (tptp.hAPP @t194 @t195) @t195))) % 6.51/6.70 (assume @p63 (forall @t229 (= @t228 (tptp.hAPP @t208 @t226)))) % 6.51/6.70 (assume @p64 (forall @t197 (= @t196 (or @t163 @t162)))) % 6.51/6.70 (assume @p65 (forall @t229 (= (tptp.hAPP (tptp.hAPP @t193 @t195) @t225) @t228))) % 6.51/6.70 (assume @p66 (forall @t236 (= (exists @t7 (and @t235 @t231)) (or (exists @t7 (and @t234 @t231)) (exists @t7 (and @t233 @t231)))))) % 6.51/6.70 (assume @p67 (forall @t236 (= (forall @t7 (=> @t235 @t231)) (and (forall @t7 (=> @t234 @t231)) (forall @t7 (=> @t233 @t231)))))) % 6.51/6.70 (assume @p68 (forall (@list @t237 @t101 @t240 @t238 @t102 @t241) (= (= @t243 @t242) (and (= @t241 @t240) @t103 @t239)))) % 6.51/6.70 (assume @p69 (forall @t217 (=> @t168 @t173))) % 6.51/6.70 (assume @p70 (forall @t217 (=> @t168 @t171))) % 6.51/6.70 (assume @p71 (forall @t215 (=> @t160 (=> @t244 @t213)))) % 6.51/6.70 (assume @p72 (forall @t197 (=> @t163 @t196))) % 6.51/6.70 (assume @p73 (forall @t198 (=> @t162 @t196))) % 6.51/6.70 (assume @p74 (forall (@list @t61 @t1 @t2 @t8 @t47) (=> @t206 (=> @t205 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t201 @t67) @t245)))))) % 6.51/6.70 (assume @p75 (forall @t174 (=> @t173 @t216))) % 6.51/6.70 (assume @p76 (forall @t200 (=> @t171 (= @t195 @t51)))) % 6.51/6.70 (assume @p77 (forall (@list @t61 @t8 @t77 @t51) (=> @t168 (= @t156 @t246)))) % 6.51/6.70 (assume @p78 (forall (@list @t51 @t8 @t64 @t61) (=> @t222 (= @t156 @t248)))) % 6.51/6.70 (assume @p79 (forall @t249 (=> @t173 (=> @t156 @t246)))) % 6.51/6.70 (assume @p80 (forall @t251 (=> @t223 (=> @t219 @t250)))) % 6.51/6.70 (assume @p81 (forall @t253 (=> @t110 (=> @t252 @t176)))) % 6.51/6.70 (assume @p82 (forall @t262 (=> @t261 (=> @t260 (=> @t259 @t257))))) % 6.51/6.70 (assume @p83 (forall @t262 (=> @t223 (=> @t260 (=> (tptp.hBOOL (tptp.hAPP @t263 @t38)) @t264))))) % 6.51/6.70 (assume @p84 (forall @t265 (=> @t156 (=> @t173 @t246)))) % 6.51/6.70 (assume @p85 (forall @t229 (=> @t173 (=> @t267 @t266)))) % 6.51/6.70 (assume @p86 (forall @t262 (=> @t261 (=> @t269 (=> @t268 @t257))))) % 6.51/6.70 (assume @p87 (forall @t271 (=> @t223 (=> @t270 (=> @t268 @t264))))) % 6.51/6.70 (assume @p88 (forall @t215 (=> @t223 (=> @t213 (=> @t212 @t244))))) % 6.51/6.70 (assume @p89 (forall @t275 (=> @t160 (=> @t213 (=> @t274 @t273))))) % 6.51/6.70 (assume @p90 (forall @t276 (=> @t223 (=> @t212 (=> @t213 @t244))))) % 6.51/6.70 (assume @p91 (forall @t280 (=> @t223 (=> @t212 (=> @t279 @t278))))) % 6.51/6.70 (assume @p92 (forall @t282 (=> @t266 (=> @t267 (tptp.hBOOL (tptp.hAPP @t281 @t225)))))) % 6.51/6.70 (assume @p93 (forall @t286 (=> @t266 (=> @t285 (tptp.hBOOL (tptp.hAPP @t281 (tptp.hAPP @t284 @t283))))))) % 6.51/6.70 (assume @p94 (forall @t217 (=> @t168 (not (=> @t173 (not @t171)))))) % 6.51/6.70 (assume @p95 (forall @t215 (=> @t214 (=> (not @t213) @t212)))) % 6.51/6.70 (assume @p96 (forall (@list @t287 @t289 @t292 @t288 @t290 @t293 @t8) (= (= @t294 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t137 @t292) @t289) @t287)) (and (= @t293 @t292) @t291 (= @t288 @t287))))) % 6.51/6.70 (assume @p97 (forall (@list @t295 @t61 @t8) (= (tptp.hBOOL (tptp.hAPP @t155 @t296)) (= @t295 @t147)))) % 6.51/6.70 (assume @p98 (forall @t265 (=> @t299 (= @t298 @t173)))) % 6.51/6.70 (assume @p99 (forall @t265 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t98) @t77)) (and @t246 @t173)))) % 6.51/6.70 (assume @p100 (forall @t300 (= (tptp.hAPP (tptp.hAPP @t193 @t56) @t77) @t77))) % 6.51/6.70 (assume @p101 (forall @t199 (= (tptp.hAPP @t194 @t56) @t51))) % 6.51/6.70 (assume @p102 (forall @t174 (= (= @t195 @t56) (and @t57 @t301)))) % 6.51/6.70 (assume @p103 (forall @t303 (= (tptp.hAPP @t194 @t302) (tptp.hAPP @t89 @t195)))) % 6.51/6.70 (assume @p104 (forall (@list @t225 @t77 @t13 @t8) (= (tptp.hAPP (tptp.hAPP @t193 @t302) @t225) (tptp.hAPP @t89 @t227)))) % 6.51/6.70 (assume @p105 (forall @t307 (= (tptp.hAPP @t78 @t306) (tptp.hAPP (tptp.hAPP @t193 @t85) @t79)))) % 6.51/6.70 (assume @p106 (forall @t134 (=> @t75 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t73) @t132))))) % 6.51/6.70 (assume @p107 (forall @t199 (= (forall @t7 @t308) @t57))) % 6.51/6.70 (assume @p108 (forall @t199 (= @t309 @t58))) % 6.51/6.70 (assume @p109 (forall (@list @t18 @t8) (not (tptp.hBOOL (tptp.hAPP @t161 @t56))))) % 6.51/6.70 (assume @p110 (forall (@list @t13 @t8 @t51) (=> @t57 @t310))) % 6.51/6.70 (assume @p111 (forall @t199 (= (tptp.hBOOL (tptp.hAPP @t172 @t56)) @t57))) % 6.51/6.70 (assume @p112 (forall @t311 (tptp.hBOOL (tptp.hAPP @t175 @t302)))) % 6.51/6.70 (assume @p113 (forall @t180 (= @t179 @t312))) % 6.51/6.70 (assume @p114 (forall @t265 (=> @t299 (=> @t313 (= (= @t98 @t297) @t168))))) % 6.51/6.70 (assume @p115 (forall @t185 (=> @t183 @t182))) % 6.51/6.70 (assume @p116 (forall @t91 (=> @t176 (= @t90 @t51)))) % 6.51/6.70 (assume @p117 (forall (@list @t13 @t77 @t8) (tptp.hBOOL (tptp.hAPP @t170 @t302)))) % 6.51/6.70 (assume @p118 (forall (@list @t109 @t77 @t51 @t8) (=> @t173 (tptp.hBOOL (tptp.hAPP @t172 @t181))))) % 6.51/6.70 (assume @p119 (forall (@list @t13 @t283 @t225 @t8) (=> (tptp.hBOOL (tptp.hAPP @t314 @t283)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t89 @t225)) (tptp.hAPP @t89 @t283)))))) % 6.51/6.70 (assume @p120 (forall (@list @t51 @t2 @t47 @t315 @t8) (= (tptp.hBOOL (tptp.hAPP @t318 @t85)) (exists @t7 (and @t317 (= @t315 @t5)))))) % 6.51/6.70 (assume @p121 (forall @t321 (=> @t156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t189 @t67) @t320))))) % 6.51/6.70 (assume @p122 (forall (@list @t47 @t2 @t109 @t51 @t61 @t8) (=> @t156 (=> @t192 (tptp.hBOOL (tptp.hAPP @t322 @t320)))))) % 6.51/6.70 (assume @p123 (forall (@list @t51 @t2 @t47 @t77 @t8) (= @t325 (exists (@list @t323) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t323) @t51)) (= @t77 (tptp.hAPP @t78 @t323))))))) % 6.51/6.70 (assume @p124 (forall @t329 (=> @t173 @t328))) % 6.51/6.70 (assume @p125 (forall (@list @t12 @t27 @t8) (=> (tptp.hBOOL (tptp.hAPP @t331 @t12)) @t28))) % 6.51/6.70 (assume @p126 (forall (@list @t27 @t332 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t332) (=> (tptp.hBOOL (tptp.hAPP @t331 @t332)) @t28)))) % 6.51/6.70 (assume @p127 (forall @t31 (=> @t30 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t330 @t29) @t12)) @t28)))) % 6.51/6.70 (assume @p128 (forall (@list @t237 @t101 @t240 @t102) (not (= @t105 @t242)))) % 6.51/6.70 (assume @p129 (forall (@list @t102 @t237 @t101 @t240) (not (= @t242 @t105)))) % 6.51/6.70 (assume @p130 (forall @t91 (= @t90 (tptp.hAPP (tptp.hAPP @t193 @t113) @t51)))) % 6.51/6.70 (assume @p131 (forall @t335 (= @t334 @t333))) % 6.51/6.70 (assume @p132 (forall @t335 (=> @t334 @t333))) % 6.51/6.70 (assume @p133 (forall @t336 (=> (tptp.hBOOL (tptp.hAPP @t172 @t129)) (or @t57 (= @t51 @t129))))) % 6.51/6.70 (assume @p134 (forall @t321 (=> @t156 (= (tptp.hAPP (tptp.hAPP @t50 @t67) @t320) @t320)))) % 6.51/6.70 (assume @p135 (forall @t342 (=> @t341 (tptp.hBOOL (tptp.hAPP @t338 (tptp.c_Map_Odom @t47 @t8 @t337)))))) % 6.51/6.70 (assume @p136 (forall (@list @t68 @t148 @t135 @t136 @t12 @t8) (=> @t351 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t68) @t148)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t137 (tptp.hAPP @t136 @t68)) @t69) (tptp.hAPP @t135 @t68))) @t11)))))) % 6.51/6.70 (assume @p137 (forall (@list @t353 @t352 @t354) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t354 @t352 @t353))) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t352)))))) % 6.51/6.70 (assume @p138 (forall (@list @t13 @t157 @t68) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t69)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t157 @t68 @t13)))))) % 6.51/6.70 (assume @p139 (forall @t355 (=> @t351 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t349)))) % 6.51/6.70 (assume @p140 (tptp.hBOOL (tptp.hAPP @t150 @t45))) % 6.51/6.70 (assume @p141 (forall @t355 (=> (tptp.c_Hoare__Mirabelle_Ohoare__valids @t8 @t350 @t348) (tptp.c_Hoare__Mirabelle_Ohoare__valids @t8 @t12 @t349)))) % 6.51/6.70 (assume @p142 (forall @t361 (=> @t360 (tptp.hBOOL (tptp.hAPP @t358 (tptp.hAPP @t357 @t123)))))) % 6.51/6.70 (assume @p143 (forall @t364 (=> @t363 @t362))) % 6.51/6.70 (assume @p144 (forall @t365 (tptp.hBOOL (tptp.hAPP @t359 @t56)))) % 6.51/6.70 (assume @p145 (forall (@list @t135 @t136 @t18) (=> @t21 (=> (tptp.c_Hoare__Mirabelle_Ohoare__valids tptp.tc_Com_Ostate @t17 @t366) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t17 @t366))))) % 6.51/6.70 (assume @p146 (forall (@list @t2 @t77 @t47 @t51 @t8) (=> @t363 (=> @t369 @t367)))) % 6.51/6.70 (assume @p147 (forall (@list @t8 @t51 @t61 @t77) (=> (=> @t373 @t93) @t370))) % 6.51/6.70 (assume @p148 (forall @t249 (=> @t370 (=> (not @t93) @t372)))) % 6.51/6.70 (assume @p149 (forall (@list @t135 @t136 @t383 @t375 @t384 @t12 @t47 @t374 @t8) (=> (tptp.hBOOL (tptp.hAPP @t359 @t374)) (=> (forall (@list @t386) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t47 @t12 (tptp.hAPP (tptp.hAPP @t388 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t376 (tptp.hAPP @t384 @t386)) @t387) (tptp.hAPP @t383 @t386))) @t385)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t47 @t12 (tptp.hAPP (tptp.hAPP @t388 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t376 (tptp.hAPP @t136 @t386)) @t387) (tptp.hAPP @t135 @t386))) @t385)))) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t47 @t12 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t377 (tptp.hAPP (tptp.hAPP @t382 (tptp.hAPP (tptp.hAPP @t381 (tptp.hAPP @t380 @t384)) @t375)) @t383)) @t374)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t47 @t12 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t377 (tptp.hAPP (tptp.hAPP @t382 (tptp.hAPP (tptp.hAPP @t381 (tptp.hAPP @t380 @t136)) @t375)) @t135)) @t374))))))) % 6.51/6.70 (assume @p150 (forall @t391 (=> @t390 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t74) @t2) @t1) @t61) (tptp.hAPP (tptp.hAPP @t389 @t67) @t245))))) % 6.51/6.70 (assume @p151 (forall @t397 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t193 @t396) @t395) @t61)) (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP (tptp.hAPP @t193 @t393) @t392)))))) % 6.51/6.70 (assume @p152 (forall @t398 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t396) @t395)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t393) @t392))))) % 6.51/6.70 (assume @p153 (forall @t400 (=> @t28 @t399))) % 6.51/6.70 (assume @p154 (forall @t224 (= (tptp.hBOOL (tptp.hAPP @t155 @t401)) @t222))) % 6.51/6.70 (assume @p155 (forall @t199 (=> @t402 @t363))) % 6.51/6.70 (assume @p156 (forall @t405 (=> @t404 (= (tptp.hAPP @t403 @t255) @t255)))) % 6.51/6.70 (assume @p157 (forall @t134 (=> @t404 @t407))) % 6.51/6.70 (assume @p158 (forall @t410 (=> @t404 (= @t409 (tptp.hAPP @t408 @t255))))) % 6.51/6.70 (assume @p159 (forall @t215 (=> @t390 @t414))) % 6.51/6.70 (assume @p160 (forall @t215 (=> @t404 @t414))) % 6.51/6.70 (assume @p161 (forall @t410 (=> @t404 (= (tptp.hAPP @t403 @t409) @t409)))) % 6.51/6.70 (assume @p162 (forall @t215 (=> @t390 @t415))) % 6.51/6.70 (assume @p163 (forall @t215 (=> @t404 @t415))) % 6.51/6.70 (assume @p164 (forall @t271 (=> @t404 (= (tptp.hAPP @t408 (tptp.hAPP @t403 @t254)) @t416)))) % 6.51/6.70 (assume @p165 (forall @t275 (=> @t390 @t420))) % 6.51/6.70 (assume @p166 (forall @t275 (=> @t404 @t420))) % 6.51/6.70 (assume @p167 (forall @t262 (=> @t404 (= (tptp.hAPP (tptp.hAPP @t389 @t409) @t254) @t416)))) % 6.51/6.70 (assume @p168 (forall @t275 (=> @t390 @t421))) % 6.51/6.70 (assume @p169 (forall @t275 (=> @t404 @t421))) % 6.51/6.70 (assume @p170 (forall (@list @t135 @t8 @t61 @t136) (=> @t426 (=> @t424 @t423)))) % 6.51/6.70 (assume @p171 (forall (@list @t61 @t135 @t136 @t8) (=> @t424 (=> @t426 @t423)))) % 6.51/6.70 (assume @p172 (forall (@list @t77 @t8 @t61 @t51) (=> @t93 @t370))) % 6.51/6.70 (assume @p173 (forall (@list @t51 @t8 @t61 @t77) (=> @t372 @t370))) % 6.51/6.70 (assume @p174 (forall @t398 (= (= @t396 @t395) @t427))) % 6.51/6.70 (assume @p175 (forall @t215 (=> @t390 @t428))) % 6.51/6.70 (assume @p176 (forall @t215 (=> @t404 @t428))) % 6.51/6.70 (assume @p177 (forall @t276 (=> @t390 @t429))) % 6.51/6.70 (assume @p178 (forall @t276 (=> @t404 @t429))) % 6.51/6.70 (assume @p179 (forall @t224 (=> @t404 (= @t221 (= @t431 @t64))))) % 6.51/6.70 (assume @p180 (forall @t435 (=> @t404 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t431) @t315)) @t434)))) % 6.51/6.70 (assume @p181 (forall @t438 (=> @t404 (=> @t437 @t436)))) % 6.51/6.70 (assume @p182 (forall @t440 (=> @t404 (=> @t439 @t436)))) % 6.51/6.70 (assume @p183 (forall @t215 (=> @t404 (=> @t213 (= @t413 @t210))))) % 6.51/6.70 (assume @p184 (forall @t276 (=> @t404 (=> @t212 (= @t413 @t132))))) % 6.51/6.70 (assume @p185 (forall @t445 (=> @t404 (=> @t444 (=> @t443 @t442))))) % 6.51/6.70 (assume @p186 (forall @t280 (=> @t404 (=> @t212 (=> @t278 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t418) @t132))))))) % 6.51/6.70 (assume @p187 (forall @t448 (=> @t404 (=> @t257 (=> @t447 (tptp.hBOOL (tptp.hAPP @t441 (tptp.hAPP (tptp.hAPP @t389 @t254) @t446)))))))) % 6.51/6.70 (assume @p188 (forall @t450 (=> @t404 (=> @t442 @t449)))) % 6.51/6.70 (assume @p189 (forall @t224 (=> @t451 (= (= @t431 @t73) (and (= @t61 @t73) (= @t64 @t73)))))) % 6.51/6.70 (assume @p190 (forall @t134 (=> @t451 (= (tptp.hAPP @t406 @t73) @t132)))) % 6.51/6.70 (assume @p191 (forall @t134 (=> @t451 (= (tptp.hAPP (tptp.hAPP @t389 @t73) @t132) @t132)))) % 6.51/6.70 (assume @p192 (forall @t91 (= @t362 @t363))) % 6.51/6.70 (assume @p193 (forall @t200 (=> @t452 (=> @t173 @t363)))) % 6.51/6.70 (assume @p194 (forall @t174 (=> @t173 (=> @t452 @t363)))) % 6.51/6.70 (assume @p195 (forall @t455 (= @t454 (and @t360 @t453)))) % 6.51/6.70 (assume @p196 (forall @t455 (=> @t360 (=> @t453 @t454)))) % 6.51/6.70 (assume @p197 (forall @t130 (= (tptp.hBOOL (tptp.hAPP @t56 @t61)) (tptp.hBOOL (tptp.hAPP @t155 @t56))))) % 6.51/6.70 (assume @p198 (forall @t459 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t47 @t8 @t456 @t458) @t457))) % 6.51/6.70 (assume @p199 (forall @t459 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t47 @t8 @t456 @t458) @t457))) % 6.51/6.70 (assume @p200 (forall @t465 (=> @t464 (=> @t363 (=> @t299 @t463))))) % 6.51/6.70 (assume @p201 (forall @t472 (=> @t471 (=> @t363 (=> @t58 (=> @t452 (=> @t470 @t469))))))) % 6.51/6.70 (assume @p202 (forall @t472 (=> @t471 (=> @t363 (=> @t470 (=> @t171 @t473)))))) % 6.51/6.70 (assume @p203 (forall (@list @t136 @t51 @t123 @t8) (=> @t360 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t123) @t51)) (=> @t482 (=> (forall (@list @t476 @t475) (=> @t481 (=> @t480 (=> (not (tptp.hBOOL (tptp.hAPP @t479 @t475))) (=> @t478 (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t477 @t475)))))))) @t474)))))) % 6.51/6.70 (assume @p204 (forall @t465 (=> @t471 (=> @t363 @t463)))) % 6.51/6.70 (assume @p205 (forall (@list @t135 @t18 @t12 @t8 @t136) (=> (forall @t490 (=> @t489 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t137 (tptp.hAPP @t487 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Com_Ostate tptp.tc_HOL_Obool) tptp.c_fequal) @t488))) @t18) (tptp.hAPP @t487 @t486))) @t11)))) @t484))) % 6.51/6.70 (assume @p206 (forall (@list @t354 @t352 @t8) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t352 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t137 @t354) tptp.c_Com_Ocom_OSKIP) @t354)) @t11)))) % 6.51/6.70 (assume @p207 (forall (@list @t136 @t12 @t8) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP @t138 tptp.c_Com_Ocom_OSKIP) @t136)) @t11)))) % 6.51/6.70 (assume @p208 (forall (@list @t157 @t8) (= (tptp.c_Set_Othe__elem @t8 @t157) (tptp.c_HOL_OThe @t8 (tptp.hAPP (tptp.hAPP @t493 (tptp.hAPP tptp.c_fequal @t157)) @t492))))) % 6.51/6.70 (assume @p209 (forall @t495 (=> @t471 @t494))) % 6.51/6.70 (assume @p210 (forall @t498 (not (= tptp.c_Com_Ocom_OSKIP @t497)))) % 6.51/6.70 (assume @p211 (forall @t498 (not (= @t497 tptp.c_Com_Ocom_OSKIP)))) % 6.51/6.70 (assume @p212 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP))) % 6.51/6.70 (assume @p213 (forall @t499 (not (= tptp.c_Com_Ocom_OSKIP @t242)))) % 6.51/6.70 (assume @p214 (forall @t499 (not (= @t242 tptp.c_Com_Ocom_OSKIP)))) % 6.51/6.70 (assume @p215 (forall @t495 (=> @t464 (= (tptp.hAPP @t123 @t129) @t61)))) % 6.51/6.70 (assume @p216 (forall @t465 (=> @t471 (=> @t363 (=> @t156 (= @t461 @t460)))))) % 6.51/6.70 (assume @p217 (forall @t504 (=> @t464 (=> @t363 (=> @t58 (=> (forall @t503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t502) @t501))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t460) @t51)))))))) % 6.51/6.70 (assume @p218 (forall (@list @t135 @t383 @t18 @t136 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP @t483 @t383)) @t11)) (=> (forall @t490 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t383 @t485) @t488)) (tptp.hBOOL (tptp.hAPP @t486 @t488)))) @t484)))) % 6.51/6.70 (assume @p219 (forall (@list @t136 @t135 @t18 @t384 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t137 @t384) @t18) @t135)) @t11)) (=> (forall @t490 (=> @t489 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t384 @t485) @t488)))) @t484)))) % 6.51/6.70 (assume @p220 (forall (@list @t505 @t356 @t123 @t2 @t8) (=> @t471 (=> (forall @t503 (= (tptp.hAPP @t356 @t502) (tptp.hAPP (tptp.hAPP @t2 @t511) @t510))) (=> @t509 (=> @t508 (= (tptp.hAPP @t356 (tptp.hAPP @t123 @t505)) (tptp.hAPP @t123 @t507)))))))) % 6.51/6.70 (assume @p221 (forall (@list @t393 @t116 @t135 @t18 @t136 @t12 @t8) (=> @t484 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t137 @t135) @t116) @t393)) @t11)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP @t138 (tptp.c_Com_Ocom_OSemi @t18 @t116)) @t393)) @t11)))))) % 6.51/6.70 (assume @p222 (forall @t519 (=> @t518 (=> @t517 (=> (not @t191) @t516))))) % 6.51/6.70 (assume @p223 (forall @t14 (= (tptp.c_HOL_OThe @t8 @t522) @t13))) % 6.51/6.70 (assume @p224 (forall @t130 (= (tptp.c_HOL_OThe @t8 @t523) @t61))) % 6.51/6.70 (assume @p225 (forall @t527 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t137 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t343 @t343) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t526 (tptp.tc_fun @t343 @t343) @t8) (tptp.c_COMBS tptp.tc_Com_Ostate tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t343 @t526 @t8) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t525 tptp.tc_Com_Ostate) tptp.c_fconj)) @t136))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate) tptp.c_fNot) @t109))) @t524) @t136)) @t11)))) % 6.51/6.70 (assume @p226 (forall @t465 (=> @t464 (=> @t363 (=> @t156 (and (=> @t533 (= @t460 @t61)) (=> @t534 (= @t460 @t532)))))))) % 6.51/6.70 (assume @p227 (forall @t538 (=> @t537 (=> @t517 (=> @t367 @t536))))) % 6.51/6.70 (assume @p228 (forall @t197 (=> @t540 (not @t186)))) % 6.51/6.70 (assume @p229 (forall @t197 (=> @t163 (=> @t166 @t540)))) % 6.51/6.70 (assume @p230 (forall @t174 (=> @t363 @t541))) % 6.51/6.70 (assume @p231 (forall (@list @t18 @t109) (=> @t542 @t22))) % 6.51/6.70 (assume @p232 (forall (@list @t543 @t544) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t544 @t543))) (not (=> @t545 (not (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t543)))))))) % 6.51/6.70 (assume @p233 (forall (@list @t289 @t237 @t290 @t238) (= (= @t547 @t546) (and @t239 @t291)))) % 6.51/6.70 (assume @p234 (forall (@list @t548 @t551 @t549 @t552) (= (= @t555 @t554) (and @t553 @t550)))) % 6.51/6.70 (assume @p235 (forall @t174 (= (tptp.hAPP @t556 @t77) @t539))) % 6.51/6.70 (assume @p236 (forall (@list @t549 @t552 @t289 @t237) (not (= @t546 @t555)))) % 6.51/6.70 (assume @p237 (forall (@list @t289 @t237 @t549 @t552) (not (= @t555 @t546)))) % 6.51/6.70 (assume @p238 (forall (@list @t61 @t77 @t51 @t47 @t8) (=> (tptp.class_Groups_Ominus @t8) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t74) @t51) @t77) @t61) (tptp.hAPP (tptp.hAPP @t557 @t92) @t371))))) % 6.51/6.70 (assume @p239 (forall (@list @t61 @t123 @t1 @t315 @t2 @t47 @t8) (=> @t537 @t494))) % 6.51/6.70 (assume @p240 (forall @t197 (=> @t540 @t166))) % 6.51/6.70 (assume @p241 (forall @t197 (=> @t540 @t163))) % 6.51/6.70 (assume @p242 (forall @t197 (= @t540 (and @t163 @t166)))) % 6.51/6.70 (assume @p243 (forall @t199 (= (tptp.hAPP @t529 @t51) @t56))) % 6.51/6.70 (assume @p244 (forall @t199 (= (tptp.hAPP @t529 @t56) @t51))) % 6.51/6.70 (assume @p245 (forall @t199 (= (tptp.hAPP (tptp.hAPP @t528 @t56) @t51) @t56))) % 6.51/6.70 (assume @p246 (forall @t200 (=> @t452 (= @t541 @t363)))) % 6.51/6.70 (assume @p247 (forall @t229 (=> @t173 (=> @t267 (= (tptp.hAPP @t559 (tptp.hAPP @t558 @t51)) @t51))))) % 6.51/6.70 (assume @p248 (forall (@list @t77 @t283 @t225 @t51 @t8) (=> @t266 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t283) @t77)) (tptp.hBOOL (tptp.hAPP @t560 (tptp.hAPP @t558 @t283))))))) % 6.51/6.70 (assume @p249 (forall @t174 (tptp.hBOOL (tptp.hAPP @t560 @t51)))) % 6.51/6.70 (assume @p250 (forall @t229 (= (tptp.hAPP (tptp.hAPP @t528 @t195) @t225) (tptp.hAPP (tptp.hAPP @t193 @t562) @t561)))) % 6.51/6.70 (assume @p251 (forall @t200 (= (tptp.hAPP (tptp.hAPP @t193 @t563) @t51) @t209))) % 6.51/6.70 (assume @p252 (forall @t174 (= @t564 @t195))) % 6.51/6.70 (assume @p253 (forall (@list @t101 @t290 @t238) (not (= @t547 @t104)))) % 6.51/6.70 (assume @p254 (forall (@list @t290 @t238 @t101) (not (= @t104 @t547)))) % 6.51/6.70 (assume @p255 (forall (@list @t109 @t18) (=> @t22 @t542))) % 6.51/6.70 (assume @p256 (forall (@list @t352 @t354) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OWhile @t354 @t352))) @t565))) % 6.51/6.70 (assume @p257 (forall (@list @t290 @t238 @t237 @t101 @t240) (not (= @t242 @t547)))) % 6.51/6.70 (assume @p258 (forall (@list @t237 @t101 @t240 @t290 @t238) (not (= @t547 @t242)))) % 6.51/6.70 (assume @p259 (forall @t566 (not (= @t546 tptp.c_Com_Ocom_OSKIP)))) % 6.51/6.70 (assume @p260 (forall @t566 (not (= tptp.c_Com_Ocom_OSKIP @t546)))) % 6.51/6.70 (assume @p261 (forall (@list @t496 @t567 @t568) (not (= @t569 @t497)))) % 6.51/6.70 (assume @p262 (forall (@list @t567 @t568 @t496) (not (= @t497 @t569)))) % 6.51/6.70 (assume @p263 (forall (@list @t544 @t570) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t570)) (=> @t545 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t570 @t544))))))) % 6.51/6.70 (assume @p264 (forall (@list @t354 @t352) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t352 @t354))) @t571))) % 6.51/6.70 (assume @p265 (forall (@list @t549 @t552 @t237 @t101 @t240) (not (= @t242 @t555)))) % 6.51/6.70 (assume @p266 (forall (@list @t237 @t101 @t240 @t549 @t552) (not (= @t555 @t242)))) % 6.51/6.70 (assume @p267 (forall @t575 (not (= @t574 tptp.c_Com_Ocom_OSKIP)))) % 6.51/6.70 (assume @p268 (forall @t575 (not (= tptp.c_Com_Ocom_OSKIP @t574)))) % 6.51/6.70 (assume @p269 (forall @t519 (=> @t518 (=> @t517 (= @t515 @t579))))) % 6.51/6.70 (assume @p270 (forall @t583 (and @t582 (=> @t313 (= @t581 (tptp.hAPP @t97 @t539)))))) % 6.51/6.70 (assume @p271 (forall @t583 @t582)) % 6.51/6.70 (assume @p272 (forall @t91 (= @t585 @t90))) % 6.51/6.70 (assume @p273 (forall @t303 (= @t586 (tptp.hAPP (tptp.hAPP @t528 @t584) @t77)))) % 6.51/6.70 (assume @p274 (forall @t303 (= @t586 (tptp.hAPP @t556 @t113)))) % 6.51/6.70 (assume @p275 (forall @t303 (= (tptp.hBOOL (tptp.hAPP @t359 @t586)) @t541))) % 6.51/6.70 (assume @p276 (forall @t588 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP (tptp.hAPP @t528 @t85) @t79)) (tptp.hAPP @t78 @t587))))) % 6.51/6.70 (assume @p277 (forall @t174 (=> @t173 (= @t564 @t77)))) % 6.51/6.70 (assume @p278 (forall @t229 (= (tptp.hBOOL (tptp.hAPP @t560 @t225)) (tptp.hBOOL (tptp.hAPP @t172 @t227))))) % 6.51/6.70 (assume @p279 (forall (@list @t123 @t1 @t315 @t2 @t47 @t8) (=> @t518 (= (tptp.hAPP @t123 @t49) @t315)))) % 6.51/6.70 (assume @p280 (forall @t519 (=> @t518 (=> @t517 (=> @t191 (= @t460 @t579)))))) % 6.51/6.70 (assume @p281 (forall @t91 (=> @t176 (= @t585 @t51)))) % 6.51/6.70 (assume @p282 (forall @t100 (=> @t299 (= (tptp.hAPP @t580 @t129) @t51)))) % 6.51/6.70 (assume @p283 (forall @t590 (=> @t589 (=> @t156 @t298)))) % 6.51/6.70 (assume @p284 (forall @t590 (= @t298 (and (=> @t156 @t589) @t591)))) % 6.51/6.70 (assume @p285 (forall @t465 (=> @t464 (=> @t363 (and (=> @t533 (= @t462 @t61)) (=> @t534 (= @t462 @t532))))))) % 6.51/6.70 (assume @p286 (forall @t519 (=> @t537 (=> @t517 (=> @t191 (= @t513 @t460)))))) % 6.51/6.70 (assume @p287 (forall @t519 (=> @t537 (=> @t517 @t516)))) % 6.51/6.70 (assume @p288 (forall @t538 (=> @t537 (=> @t517 (=> (tptp.hBOOL (tptp.hAPP @t368 @t51)) @t473))))) % 6.51/6.70 (assume @p289 (forall @t594 (and (=> @t593 (= @t592 @t109)) (=> (not @t593) (= @t592 (tptp.c_HOL_OThe @t8 (tptp.hAPP @t394 (tptp.hAPP @t529 @t112)))))))) % 6.51/6.70 (assume @p290 (forall @t122 (=> @t601 (=> @t600 (= @t598 @t596))))) % 6.51/6.70 (assume @p291 (forall (@list @t64 @t2 @t47 @t51 @t61 @t8) (and (=> @t156 (= @t606 (tptp.hAPP (tptp.hAPP @t50 @t64) (tptp.hAPP @t319 @t530)))) (=> @t299 (= @t606 @t320))))) % 6.51/6.70 (assume @p292 (forall (@list @t136 @t51 @t8) (=> @t363 (=> (tptp.hBOOL (tptp.hAPP @t136 @t51)) (=> (forall @t609 (=> (tptp.hBOOL (tptp.hAPP @t359 @t607)) (=> @t608 (=> (tptp.hBOOL (tptp.hAPP @t136 @t607)) (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t528 @t607) (tptp.hAPP @t477 @t56)))))))) @t482))))) % 6.51/6.70 (assume @p293 (forall @t365 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t55 @t612))) % 6.51/6.70 (assume @p294 (forall @t590 (= (tptp.hBOOL (tptp.hAPP @t614 @t297)) (and (=> @t246 @t615) (=> @t313 (and (=> @t156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t613 @t530) @t77))) @t591)))))) % 6.51/6.70 (assume @p295 (forall @t621 (= (tptp.hAPP @t620 @t619) @t617))) % 6.51/6.70 (assume @p296 (forall @t621 (= (tptp.c_Option_Ooption_Ooption__rec @t8 @t47 @t456 @t616 @t619) @t617))) % 6.51/6.70 (assume @p297 (forall (@list @t136 @t123 @t8) (=> @t360 (=> @t482 (=> (forall (@list @t3 @t475) (=> @t481 (=> (not (tptp.hBOOL (tptp.hAPP @t232 @t475))) (=> @t478 (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t500 @t475))))))) @t474))))) % 6.51/6.70 (assume @p298 (forall @t623 (=> @t156 (=> (tptp.c_Nitpick_Ofold__graph_H @t8 @t47 @t2 @t315 @t530 @t64) (tptp.c_Nitpick_Ofold__graph_H @t8 @t47 @t2 @t315 @t51 @t622))))) % 6.51/6.70 (assume @p299 (forall @t336 (=> @t390 (=> @t363 (=> @t156 (and (=> @t533 (= @t625 @t61)) (=> @t534 (= @t625 @t624)))))))) % 6.51/6.70 (assume @p300 (forall @t626 (= (tptp.hAPP @t604 @t67) @t2))) % 6.51/6.70 (assume @p301 (forall @t134 (=> @t160 (not (tptp.hBOOL (tptp.hAPP @t628 @t132)))))) % 6.51/6.70 (assume @p302 (forall @t224 (=> @t214 (= @t633 (or @t632 @t630))))) % 6.51/6.70 (assume @p303 (forall @t224 (=> @t214 (= @t634 (or @t630 @t222))))) % 6.51/6.70 (assume @p304 (forall @t215 (=> @t214 (or @t637 @t244 @t636)))) % 6.51/6.70 (assume @p305 (forall @t251 (=> @t214 (=> (not @t630) @t638)))) % 6.51/6.70 (assume @p306 (forall @t215 (=> @t214 @t641))) % 6.51/6.70 (assume @p307 (forall @t215 (=> @t223 (=> @t637 @t640)))) % 6.51/6.70 (assume @p308 (forall @t215 (=> @t160 (=> @t637 (not @t636))))) % 6.51/6.70 (assume @p309 (forall @t215 (=> @t223 (=> @t637 (not (= @t210 @t132)))))) % 6.51/6.70 (assume @p310 (forall @t410 (=> @t160 (=> @t645 (not @t643))))) % 6.51/6.70 (assume @p311 (forall @t646 (=> @t223 (=> @t643 (not @t645))))) % 6.51/6.70 (assume @p312 (forall @t262 (=> @t261 (=> @t260 (=> @t648 @t647))))) % 6.51/6.70 (assume @p313 (forall @t262 (=> @t223 (=> @t260 (=> (tptp.hBOOL (tptp.hAPP @t649 @t38)) @t650))))) % 6.51/6.70 (assume @p314 (forall @t229 (=> @t615 @t652))) % 6.51/6.70 (assume @p315 (forall @t262 (=> @t261 (=> @t645 (=> @t268 @t647))))) % 6.51/6.70 (assume @p316 (forall @t271 (=> @t223 (=> @t643 (=> @t268 @t650))))) % 6.51/6.70 (assume @p317 (forall @t275 (=> @t160 (=> @t637 @t654)))) % 6.51/6.70 (assume @p318 (forall @t280 (=> @t223 (=> @t636 @t657)))) % 6.51/6.70 (assume @p319 (forall @t215 (=> @t214 (=> @t639 (=> @t640 @t636))))) % 6.51/6.70 (assume @p320 (forall @t659 (= (= @t605 @t2) @t658))) % 6.51/6.70 (assume @p321 (forall @t660 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t602 @t605) @t61) @t315) (tptp.hAPP @t604 @t315)))) % 6.51/6.70 (assume @p322 (forall (@list @t64 @t61 @t2 @t8 @t47) (= (tptp.hAPP @t661 @t61) @t64))) % 6.51/6.70 (assume @p323 (forall @t666 (and (=> @t664 (= @t663 @t64)) @t665))) % 6.51/6.70 (assume @p324 (forall (@list @t116 @t109 @t337 @t47 @t8 @t18 @t13) (=> (not @t118) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t602 (tptp.hAPP (tptp.hAPP @t667 @t13) @t109)) @t18) @t116) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t602 (tptp.hAPP (tptp.hAPP @t667 @t18) @t116)) @t13) @t109))))) % 6.51/6.70 (assume @p325 (forall @t666 @t665)) % 6.51/6.70 (assume @p326 (forall (@list @t8 @t47 @t64 @t61 @t2) (=> @t658 (= @t661 @t2)))) % 6.51/6.70 (assume @p327 (forall (@list @t315 @t61 @t2 @t47 @t8) (=> @t669 (= (tptp.hAPP @t67 @t668) @t668)))) % 6.51/6.70 (assume @p328 (forall @t122 (=> @t601 (=> @t600 (= @t673 @t671))))) % 6.51/6.70 (assume @p329 (forall (@list @t109 @t2 @t47 @t8 @t13 @t61) (and (=> @t675 (= @t674 @t109)) (=> @t676 (= @t674 @t67))))) % 6.51/6.70 (assume @p330 (forall @t679 (=> @t669 (tptp.c_Finite__Set_Ofun__left__comm__idem @t106 @t47 @t678)))) % 6.51/6.70 (assume @p331 (forall (@list @t354 @t352 @t47 @t8) (tptp.c_Nitpick_Ofold__graph_H @t8 @t47 @t352 @t354 @t56 @t354))) % 6.51/6.70 (assume @p332 (forall @t680 (tptp.c_Nitpick_Ofold__graph_H @t8 @t47 @t2 @t315 @t56 @t315))) % 6.51/6.70 (assume @p333 (forall @t207 (=> @t206 (= @t681 (and @t205 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t204 @t1) @t2)))))))) % 6.51/6.70 (assume @p334 (forall @t224 (=> @t214 (= @t634 @t219)))) % 6.51/6.70 (assume @p335 (forall @t224 (=> @t214 (= (not @t221) @t630)))) % 6.51/6.70 (assume @p336 (forall @t215 (=> @t214 (or @t213 @t636)))) % 6.51/6.70 (assume @p337 (forall @t224 (=> @t223 (= @t632 (and @t221 @t633))))) % 6.51/6.70 (assume @p338 (forall @t224 (=> @t160 (= @t632 (and @t221 (not @t219)))))) % 6.51/6.70 (assume @p339 (forall @t224 (=> @t223 (= @t221 (or @t632 @t222))))) % 6.51/6.70 (assume @p340 (forall @t215 (=> @t214 (=> @t639 @t212)))) % 6.51/6.70 (assume @p341 (forall @t276 (=> @t214 (=> (not @t212) @t637)))) % 6.51/6.70 (assume @p342 (forall @t224 (=> @t214 (=> @t634 @t250)))) % 6.51/6.70 (assume @p343 (forall @t410 (=> @t223 (=> @t682 (=> @t269 @t645))))) % 6.51/6.70 (assume @p344 (forall @t410 (=> @t223 (=> @t682 (=> @t270 @t643))))) % 6.51/6.70 (assume @p345 (forall @t276 (=> @t214 (=> @t212 @t639)))) % 6.51/6.70 (assume @p346 (forall @t215 (=> @t160 (=> @t637 @t213)))) % 6.51/6.70 (assume @p347 (forall @t224 (=> @t214 (=> @t221 @t638)))) % 6.51/6.70 (assume @p348 (forall @t215 (=> @t223 (=> @t213 (or @t637 @t244))))) % 6.51/6.70 (assume @p349 (forall @t410 (=> @t223 (=> @t269 (=> @t682 @t645))))) % 6.51/6.70 (assume @p350 (forall @t646 (=> @t223 (=> @t270 (=> @t682 @t643))))) % 6.51/6.70 (assume @p351 (forall @t275 (=> @t160 (=> @t637 (=> @t274 @t653))))) % 6.51/6.70 (assume @p352 (forall @t280 (=> @t223 (=> @t636 (=> @t279 @t656))))) % 6.51/6.70 (assume @p353 (forall @t275 (=> @t160 (=> @t213 @t654)))) % 6.51/6.70 (assume @p354 (forall @t280 (=> @t223 (=> @t212 @t657)))) % 6.51/6.70 (assume @p355 (forall @t187 (=> @t615 @t186))) % 6.51/6.70 (assume @p356 (forall @t199 (not (tptp.hBOOL (tptp.hAPP @t614 @t56))))) % 6.51/6.70 (assume @p357 (forall @t440 (=> @t404 (=> @t684 @t683)))) % 6.51/6.70 (assume @p358 (forall @t438 (=> @t404 (=> @t685 @t683)))) % 6.51/6.70 (assume @p359 (forall @t174 (= @t615 (and @t173 (not @t168))))) % 6.51/6.70 (assume @p360 (forall @t174 (= @t173 (or @t615 @t168)))) % 6.51/6.70 (assume @p361 (forall @t174 (=> @t615 @t173))) % 6.51/6.70 (assume @p362 (forall @t229 (=> @t615 (=> @t267 @t651)))) % 6.51/6.70 (assume @p363 (forall @t229 (=> @t173 @t652))) % 6.51/6.70 (assume @p364 (forall (@list @t64 @t61 @t109 @t13 @t337 @t8 @t47) (= (= (tptp.hAPP @t689 @t61) @t66) (or (and @t675 (= @t109 @t64)) (and @t676 (= @t686 @t66)))))) % 6.51/6.70 (assume @p365 (forall (@list @t47 @t61 @t8 @t690 @t32) (=> (= (tptp.hAPP @t32 @t690) @t147) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t688 @t32) @t690) @t147) @t32)))) % 6.51/6.70 (assume @p366 (forall (@list @t64 @t692 @t61 @t13 @t337 @t47 @t8) (=> (= (tptp.hAPP @t697 @t695) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 @t692) @t13) @t691)) @t222))) % 6.51/6.70 (assume @p367 (forall @t130 (=> @t390 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t129) @t61)))) % 6.51/6.70 (assume @p368 (forall @t365 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t55 @t81))) % 6.51/6.70 (assume @p369 (forall @t365 (=> @t404 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t389)))) % 6.51/6.70 (assume @p370 (forall (@list @t64 @t337 @t47 @t51 @t61 @t8) (=> @t299 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t693 @t699) @t51) (tptp.hAPP (tptp.c_Set_Oimage @t8 @t693 @t337) @t51))))) % 6.51/6.70 (assume @p371 (forall @t336 (=> @t390 (=> @t363 (=> @t156 (= @t700 @t625)))))) % 6.51/6.70 (assume @p372 (forall @t336 (=> @t390 (=> @t363 @t702)))) % 6.51/6.70 (assume @p373 (forall @t174 (=> @t390 (=> @t363 (=> @t470 (=> @t171 (= (tptp.hAPP (tptp.hAPP @t389 @t703) @t625) @t625))))))) % 6.51/6.70 (assume @p374 (forall @t174 (=> @t390 (=> @t363 (=> @t58 (=> @t452 (=> @t470 @t706))))))) % 6.51/6.70 (assume @p375 (forall @t122 (=> @t708 (=> @t600 (= @t110 @t707))))) % 6.51/6.70 (assume @p376 (forall @t134 (=> @t390 @t407))) % 6.51/6.70 (assume @p377 (forall @t336 (=> @t390 (=> @t363 (=> @t299 @t702))))) % 6.51/6.70 (assume @p378 (forall @t336 (=> @t390 (=> @t363 (and (=> @t533 (= @t701 @t61)) (=> @t534 (= @t701 @t624))))))) % 6.51/6.70 (assume @p379 (forall @t199 (=> @t390 (=> @t363 (=> @t58 (=> (forall @t503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t709) @t501))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t625) @t51)))))))) % 6.51/6.70 (assume @p380 (forall (@list @t712 @t352 @t354 @t711 @t353 @t47 @t8) (= (tptp.c_Nitpick_Ofold__graph_H @t8 @t47 @t353 @t711 @t354 @t713) (or (and @t714 (= @t713 @t711)) (exists @t503 (and (= @t713 (tptp.hAPP (tptp.hAPP @t353 @t3) @t42)) (tptp.hBOOL (tptp.hAPP @t232 @t354)) (tptp.c_Nitpick_Ofold__graph_H @t8 @t47 @t353 @t711 (tptp.hAPP (tptp.hAPP @t528 @t354) @t710) @t42))))))) % 6.51/6.70 (assume @p381 (forall @t715 (=> @t390 (=> (forall @t503 (= (tptp.hAPP @t356 @t709) (tptp.hAPP (tptp.hAPP @t389 @t511) @t510))) (=> @t509 (=> @t508 (= (tptp.hAPP @t356 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t505)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t507)))))))) % 6.51/6.70 (assume @p382 (forall @t718 (=> @t363 (= @t320 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t48 @t8 @t304) (tptp.hAPP (tptp.hAPP @t717 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t47 @t716 @t8) @t50) @t2)) @t49)) @t49) @t51))))) % 6.51/6.70 (assume @p383 (forall @t727 (=> @t726 (=> @t363 (and @t725 (=> @t310 (= @t722 @t721))))))) % 6.51/6.70 (assume @p384 (forall @t727 (=> @t728 (=> @t363 @t725)))) % 6.51/6.70 (assume @p385 (forall @t174 (=> @t390 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (=> @t732 @t706)))))))) % 6.51/6.70 (assume @p386 (forall @t174 (=> @t390 (=> @t363 (=> @t452 (=> @t733 (= (tptp.hAPP (tptp.hAPP @t389 @t705) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t731)) @t704))))))) % 6.51/6.70 (assume @p387 (forall @t336 (=> @t390 (=> @t363 (=> @t299 (= @t701 (tptp.hAPP (tptp.hAPP @t734 @t61) @t51))))))) % 6.51/6.70 (assume @p388 (forall @t742 (=> @t741 @t740))) % 6.51/6.70 (assume @p389 (forall @t249 (=> @t743 (not (=> @t93 @t373))))) % 6.51/6.70 (assume @p390 (forall (@list @t8 @t77 @t61 @t51) (=> @t93 (=> @t372 @t743)))) % 6.51/6.70 (assume @p391 (forall @t197 (=> @t744 (not @t167)))) % 6.51/6.70 (assume @p392 (forall @t197 (=> @t163 (=> @t162 @t744)))) % 6.51/6.70 (assume @p393 (forall @t455 (=> (or @t360 @t453) (tptp.hBOOL (tptp.hAPP @t359 (tptp.hAPP (tptp.hAPP @t729 @t123) @t12)))))) % 6.51/6.70 (assume @p394 (forall @t134 (=> @t390 @t747))) % 6.51/6.70 (assume @p395 (forall @t229 (= (tptp.hAPP (tptp.hAPP @t729 @t731) @t225) @t750))) % 6.51/6.70 (assume @p396 (forall (@list @t77 @t51 @t337 @t47 @t8) (= (tptp.c_Map_Orestrict__map @t8 @t47 @t751 @t77) (tptp.c_Map_Orestrict__map @t8 @t47 @t337 @t731)))) % 6.51/6.70 (assume @p397 (forall @t229 (= @t750 (tptp.hAPP @t748 @t752)))) % 6.51/6.70 (assume @p398 (forall @t174 (= (tptp.hAPP @t730 @t731) @t731))) % 6.51/6.70 (assume @p399 (forall @t174 (= @t731 @t753))) % 6.51/6.70 (assume @p400 (forall @t199 (= (tptp.hAPP @t730 @t51) @t51))) % 6.51/6.70 (assume @p401 (forall @t249 (=> @t743 @t372))) % 6.51/6.70 (assume @p402 (forall @t249 (=> @t743 @t93))) % 6.51/6.70 (assume @p403 (forall @t391 (=> @t390 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t74) @t2) @t1) @t61) (tptp.hAPP (tptp.hAPP @t745 @t67) @t245))))) % 6.51/6.70 (assume @p404 (forall @t275 (=> @t759 @t758))) % 6.51/6.70 (assume @p405 (forall @t275 (=> @t390 @t758))) % 6.51/6.70 (assume @p406 (forall @t262 (=> @t759 (= (tptp.hAPP (tptp.hAPP @t745 @t763) @t254) @t762)))) % 6.51/6.70 (assume @p407 (forall @t275 (=> @t759 @t765))) % 6.51/6.70 (assume @p408 (forall @t275 (=> @t390 @t765))) % 6.51/6.70 (assume @p409 (forall @t271 (=> @t759 (= (tptp.hAPP @t760 (tptp.hAPP @t761 @t254)) @t762)))) % 6.51/6.70 (assume @p410 (forall @t215 (=> @t759 @t766))) % 6.51/6.70 (assume @p411 (forall @t215 (=> @t390 @t766))) % 6.51/6.70 (assume @p412 (forall @t410 (=> @t759 (= (tptp.hAPP @t761 @t763) @t763)))) % 6.51/6.70 (assume @p413 (forall @t215 (=> @t759 @t768))) % 6.51/6.70 (assume @p414 (forall @t215 (=> @t390 @t768))) % 6.51/6.70 (assume @p415 (forall @t410 (=> @t759 (= @t763 (tptp.hAPP @t760 @t255))))) % 6.51/6.70 (assume @p416 (forall @t773 (= @t772 (tptp.c_Finite__Set_Ofold @t47 @t8 @t771)))) % 6.51/6.70 (assume @p417 (forall @t134 (=> @t759 @t747))) % 6.51/6.70 (assume @p418 (forall @t405 (=> @t759 (= (tptp.hAPP @t761 @t255) @t255)))) % 6.51/6.70 (assume @p419 (forall @t785 (=> @t784 (= @t783 (tptp.hAPP (tptp.hAPP @t777 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t106 @t48 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 (tptp.tc_fun @t48 @t8) @t106) @t776) @t775)) @t51)) @t77))))) % 6.51/6.70 (assume @p420 (forall (@list @t51 @t337 @t47 @t8) (= (tptp.c_Map_Odom @t8 @t47 @t751) (tptp.hAPP (tptp.hAPP @t729 @t786) @t51)))) % 6.51/6.70 (assume @p421 (forall @t791 (=> @t759 (=> @t363 (= (tptp.hAPP @t788 @t90) (tptp.hAPP @t790 @t789)))))) % 6.51/6.70 (assume @p422 (forall @t215 (=> @t390 @t793))) % 6.51/6.70 (assume @p423 (forall @t215 (=> @t759 @t793))) % 6.51/6.70 (assume @p424 (forall @t215 (=> @t390 @t794))) % 6.51/6.70 (assume @p425 (forall @t215 (=> @t759 @t794))) % 6.51/6.70 (assume @p426 (forall @t224 (=> @t759 (= @t221 (= @t796 @t61))))) % 6.51/6.70 (assume @p427 (forall @t435 (=> @t759 (= (tptp.hBOOL (tptp.hAPP @t220 (tptp.hAPP (tptp.hAPP @t745 @t64) @t315))) @t797)))) % 6.51/6.70 (assume @p428 (forall @t445 (=> @t759 (=> @t444 @t799)))) % 6.51/6.70 (assume @p429 (forall @t800 (=> @t759 (=> @t443 @t799)))) % 6.51/6.70 (assume @p430 (forall @t215 (=> @t759 (=> @t213 (= @t757 @t132))))) % 6.51/6.70 (assume @p431 (forall @t276 (=> @t759 (=> @t212 (= @t757 @t210))))) % 6.51/6.70 (assume @p432 (forall @t438 (=> @t759 (=> @t437 (=> @t439 @t801))))) % 6.51/6.70 (assume @p433 (forall @t275 (=> @t759 (=> @t213 (=> @t273 (tptp.hBOOL (tptp.hAPP @t159 @t755))))))) % 6.51/6.70 (assume @p434 (forall @t448 (=> @t759 (=> @t257 (=> @t447 (tptp.hBOOL (tptp.hAPP @t798 (tptp.hAPP (tptp.hAPP @t745 @t254) @t446)))))))) % 6.51/6.70 (assume @p435 (forall @t438 (=> @t759 (=> @t801 @t802)))) % 6.51/6.70 (assume @p436 (forall @t800 (=> @t759 (=> @t804 @t803)))) % 6.51/6.70 (assume @p437 (forall @t445 (=> @t759 (=> @t805 @t803)))) % 6.51/6.70 (assume @p438 (forall @t134 (=> @t451 (= (tptp.hAPP @t746 @t73) @t73)))) % 6.51/6.70 (assume @p439 (forall @t134 (=> @t451 (= (tptp.hAPP (tptp.hAPP @t745 @t73) @t132) @t73)))) % 6.51/6.70 (assume @p440 (forall @t215 (=> @t390 (= (tptp.hAPP @t746 @t413) @t132)))) % 6.51/6.70 (assume @p441 (forall @t215 (=> @t390 (= (tptp.hAPP @t406 @t757) @t132)))) % 6.51/6.70 (assume @p442 (forall @t275 (=> @t808 (= @t807 @t806)))) % 6.51/6.70 (assume @p443 (forall @t275 (=> @t808 (= @t810 @t809)))) % 6.51/6.70 (assume @p444 (forall @t811 (=> @t808 (= (tptp.hAPP (tptp.hAPP @t745 @t418) @t132) (tptp.hAPP (tptp.hAPP @t389 @t767) (tptp.hAPP (tptp.hAPP @t745 @t272) @t132)))))) % 6.51/6.70 (assume @p445 (forall @t811 (=> @t808 (= (tptp.hAPP (tptp.hAPP @t389 @t755) @t132) (tptp.hAPP (tptp.hAPP @t745 @t412) (tptp.hAPP (tptp.hAPP @t389 @t272) @t132)))))) % 6.51/6.70 (assume @p446 (forall @t197 (=> @t744 @t162))) % 6.51/6.70 (assume @p447 (forall @t197 (=> @t744 @t163))) % 6.51/6.70 (assume @p448 (forall @t197 (= @t744 (and @t163 @t162)))) % 6.51/6.70 (assume @p449 (forall (@list @t315 @t2 @t8 @t47) (= (tptp.hAPP @t812 @t49) @t315))) % 6.51/6.70 (assume @p450 (forall @t174 (= @t732 (forall @t7 (=> @t234 (forall @t817 (=> (tptp.hBOOL (tptp.hAPP @t816 @t77)) @t815))))))) % 6.51/6.70 (assume @p451 (forall @t199 (= (tptp.hAPP @t730 @t56) @t56))) % 6.51/6.70 (assume @p452 (forall @t300 (= (tptp.hAPP (tptp.hAPP @t729 @t56) @t77) @t56))) % 6.51/6.70 (assume @p453 (forall @t819 (= (tptp.hAPP (tptp.hAPP @t729 @t90) @t302) @t818))) % 6.51/6.70 (assume @p454 (forall @t286 (=> @t266 (=> @t285 (tptp.hBOOL (tptp.hAPP @t821 (tptp.hAPP @t820 @t283))))))) % 6.51/6.70 (assume @p455 (forall @t823 (=> @t822 (=> (tptp.hBOOL (tptp.hAPP @t314 @t77)) (tptp.hBOOL (tptp.hAPP @t314 @t731)))))) % 6.51/6.70 (assume @p456 (forall @t200 (=> @t171 (= @t731 @t77)))) % 6.51/6.70 (assume @p457 (forall @t174 (=> @t173 (= @t731 @t51)))) % 6.51/6.70 (assume @p458 (forall @t174 (tptp.hBOOL (tptp.hAPP @t821 @t77)))) % 6.51/6.70 (assume @p459 (forall @t174 (tptp.hBOOL (tptp.hAPP @t821 @t51)))) % 6.51/6.70 (assume @p460 (forall @t229 (= (tptp.hAPP (tptp.hAPP @t193 (tptp.hAPP @t827 @t749)) @t826) (tptp.hAPP (tptp.hAPP @t729 (tptp.hAPP @t825 @t227)) @t824)))) % 6.51/6.70 (assume @p461 (forall @t828 (= (tptp.hAPP (tptp.hAPP @t193 @t749) @t51) (tptp.hAPP (tptp.hAPP @t729 @t209) @t824)))) % 6.51/6.70 (assume @p462 (forall @t828 (= (tptp.hAPP (tptp.hAPP @t729 @t227) @t51) (tptp.hAPP (tptp.hAPP @t193 @t753) @t826)))) % 6.51/6.70 (assume @p463 (forall @t229 (= (tptp.hAPP @t194 @t749) (tptp.hAPP @t825 @t226)))) % 6.51/6.70 (assume @p464 (forall @t229 (= @t829 (tptp.hAPP @t827 @t752)))) % 6.51/6.70 (assume @p465 (forall @t282 (= @t831 (tptp.hAPP @t830 @t77)))) % 6.51/6.70 (assume @p466 (forall @t229 (= (tptp.hAPP @t832 @t225) @t831))) % 6.51/6.70 (assume @p467 (forall @t229 (= (tptp.hAPP (tptp.hAPP @t528 @t731) @t225) (tptp.hAPP @t730 @t561)))) % 6.51/6.70 (assume @p468 (forall @t823 (= (tptp.hAPP @t820 @t539) (tptp.hAPP (tptp.hAPP @t528 @t826) (tptp.hAPP @t820 @t77))))) % 6.51/6.70 (assume @p469 (forall (@list @t315 @t1 @t2 @t47 @t8) (= (tptp.hAPP @t833 @t49) @t315))) % 6.51/6.70 (assume @p470 (forall @t835 (=> @t759 (=> @t363 (=> @t176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t789) @t834))))))) % 6.51/6.70 (assume @p471 (forall @t842 (=> @t708 (= (tptp.hAPP (tptp.hAPP @t776 @t841) @t51) (tptp.hAPP (tptp.hAPP @t557 @t839) @t837))))) % 6.51/6.70 (assume @p472 (forall @t365 (=> @t759 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t745)))) % 6.51/6.70 (assume @p473 (forall @t845 @t844)) % 6.51/6.70 (assume @p474 (forall @t846 (= (tptp.c_Map_Orestrict__map @t8 @t47 @t2 @t90) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 (tptp.c_Map_Orestrict__map @t8 @t47 @t2 @t51)) @t13) @t80)))) % 6.51/6.70 (assume @p475 (forall @t397 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t729 @t396) @t395) @t61)) (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP (tptp.hAPP @t729 @t393) @t392)))))) % 6.51/6.70 (assume @p476 (forall @t275 (=> @t390 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t810) @t809))))) % 6.51/6.70 (assume @p477 (forall @t275 (=> @t390 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t806) @t807))))) % 6.51/6.70 (assume @p478 (forall @t819 (and @t849 @t848))) % 6.51/6.70 (assume @p479 (forall @t854 (and @t853 @t852))) % 6.51/6.70 (assume @p480 (forall @t819 @t848)) % 6.51/6.70 (assume @p481 (forall @t854 @t852)) % 6.51/6.70 (assume @p482 (forall @t819 @t849)) % 6.51/6.70 (assume @p483 (forall @t854 @t853)) % 6.51/6.70 (assume @p484 (forall @t588 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t78 @t857)) (tptp.hAPP (tptp.hAPP @t729 @t85) @t79))))) % 6.51/6.70 (assume @p485 (forall @t174 (= (tptp.hAPP @t730 @t563) @t56))) % 6.51/6.70 (assume @p486 (forall @t174 (=> @t732 (= @t539 @t51)))) % 6.51/6.70 (assume @p487 (forall @t229 (= (= (tptp.hAPP @t827 @t225) @t829) @t822))) % 6.51/6.70 (assume @p488 (forall @t174 (= (tptp.hAPP @t858 @t731) @t51))) % 6.51/6.70 (assume @p489 (forall @t229 (= (tptp.hAPP @t529 @t227) (tptp.hAPP @t832 @t562)))) % 6.51/6.70 (assume @p490 (forall @t229 (= (tptp.hAPP @t529 @t749) (tptp.hAPP @t858 @t562)))) % 6.51/6.70 (assume @p491 (forall (@list @t51 @t123 @t1 @t315 @t2 @t47 @t8) (=> @t518 (=> @t517 (= @t460 @t859))))) % 6.51/6.70 (assume @p492 (forall (@list @t2 @t51 @t77 @t8) (=> @t452 (=> @t171 (= (tptp.hAPP @t861 @t539) (tptp.hAPP @t865 @t862)))))) % 6.51/6.70 (assume @p493 (forall @t174 (=> @t363 (= @t195 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t55 @t81) @t77) @t51))))) % 6.51/6.70 (assume @p494 (forall @t791 (=> @t404 (=> @t363 (= (tptp.hAPP @t866 @t90) (tptp.hAPP @t868 @t867)))))) % 6.51/6.70 (assume @p495 (forall @t364 (=> @t390 (=> @t363 (=> @t176 (= (tptp.hAPP @t790 @t625) @t13)))))) % 6.51/6.70 (assume @p496 (forall @t874 (=> @t669 (=> @t363 @t873)))) % 6.51/6.70 (assume @p497 (forall @t874 (=> @t669 (=> @t363 @t877)))) % 6.51/6.70 (assume @p498 (forall (@list @t13 @t51 @t123 @t2 @t8) (=> @t471 (=> @t363 (= (tptp.hAPP @t123 @t90) (tptp.hAPP (tptp.hAPP @t878 @t13) @t51)))))) % 6.51/6.70 (assume @p499 (forall @t538 (=> @t518 (=> @t517 (=> @t367 (= (tptp.hAPP (tptp.hAPP @t2 @t535) (tptp.hAPP @t123 @t857)) @t467)))))) % 6.51/6.70 (assume @p500 (forall (@list @t2 @t51 @t13 @t8) (and (=> @t176 (= @t879 (tptp.hAPP @t865 @t80))) (=> @t310 (= @t879 @t863))))) % 6.51/6.70 (assume @p501 (forall @t881 (=> @t726 (=> @t363 (=> @t171 (= (tptp.hAPP @t720 @t539) (tptp.hAPP @t724 @t880))))))) % 6.51/6.70 (assume @p502 (forall (@list @t64 @t61 @t283 @t337 @t47 @t8) @t740)) % 6.51/6.70 (assume @p503 (forall @t835 (=> @t404 (=> @t363 (=> @t176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t882) @t867))))))) % 6.51/6.70 (assume @p504 (forall @t364 (=> @t390 (=> @t363 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t90) (tptp.hAPP (tptp.hAPP @t734 @t13) @t51)))))) % 6.51/6.70 (assume @p505 (forall @t174 (=> @t363 (= @t563 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t55 @t612) @t77) @t51))))) % 6.51/6.70 (assume @p506 (forall @t465 (=> @t464 (=> @t363 (=> @t299 (= @t462 (tptp.hAPP (tptp.hAPP @t878 @t61) @t51))))))) % 6.51/6.70 (assume @p507 (forall @t538 (=> @t518 (=> @t517 (=> @t367 (=> (= @t857 @t49) @t536)))))) % 6.51/6.70 (assume @p508 (forall @t472 (=> @t464 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (=> @t732 @t469)))))))) % 6.51/6.70 (assume @p509 (forall @t472 (=> @t464 (=> @t363 (=> @t452 (=> @t733 (= (tptp.hAPP (tptp.hAPP @t2 @t468) @t883) @t467))))))) % 6.51/6.70 (assume @p510 (forall @t742 (and (=> @t741 (= @t884 @t737)) (=> @t885 (= @t884 @t738))))) % 6.51/6.70 (assume @p511 (forall @t888 (=> @t887 (=> @t363 (=> @t156 (= @t875 @t886)))))) % 6.51/6.70 (assume @p512 (forall @t894 (=> @t893 (and @t892 @t891)))) % 6.51/6.70 (assume @p513 (forall @t874 (=> @t887 (=> @t363 (= @t872 @t886))))) % 6.51/6.70 (assume @p514 (forall @t336 (=> @t390 (=> @t363 (=> @t156 (and (=> @t533 (= @t896 @t61)) (=> @t534 (= @t896 @t895)))))))) % 6.51/6.70 (assume @p515 (forall @t904 (=> @t903 (=> @t363 (= @t902 (tptp.hAPP (tptp.hAPP @t899 (tptp.c_Orderings_Obot__class_Obot @t47)) @t51)))))) % 6.51/6.70 (assume @p516 (forall @t888 (=> @t887 (=> @t363 (=> @t299 @t873))))) % 6.51/6.70 (assume @p517 (forall @t888 (=> @t887 (=> @t363 (=> @t299 @t877))))) % 6.51/6.70 (assume @p518 (forall (@list @t337 @t47 @t283 @t61 @t8) (and (=> @t741 (= @t906 @t736)) (=> @t885 (= @t906 @t738))))) % 6.51/6.70 (assume @p519 (forall @t911 (=> (and @t910 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t47)) (=> @t363 (=> @t58 (=> (forall @t7 (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t909 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t909 @t721) @t908)))))))) % 6.51/6.70 (assume @p520 (forall @t915 (=> @t910 (=> @t363 (=> @t156 (= @t908 @t914)))))) % 6.51/6.70 (assume @p521 (forall (@list @t47 @t109 @t77 @t51 @t13 @t8) (=> @t176 (=> @t922 @t919)))) % 6.51/6.70 (assume @p522 (forall (@list @t106 @t47 @t18 @t109 @t77 @t51 @t13 @t8) (=> @t176 (=> @t926 @t925)))) % 6.51/6.70 (assume @p523 (forall @t660 (=> @t887 (= (tptp.hAPP @t67 (tptp.hAPP @t927 @t315)) (tptp.hAPP @t927 @t668))))) % 6.51/6.70 (assume @p524 (forall @t262 (=> @t936 @t935))) % 6.51/6.70 (assume @p525 (forall @t941 (=> @t940 (= (= @t939 @t938) @t115)))) % 6.51/6.70 (assume @p526 (forall (@list @t18 @t13 @t109 @t8) (=> @t940 (= (= @t945 @t943) @t115)))) % 6.51/6.70 (assume @p527 (forall @t262 (=> @t940 @t947))) % 6.51/6.70 (assume @p528 (forall @t262 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t8) @t947))) % 6.51/6.70 (assume @p529 (forall @t271 (=> @t940 (=> (= @t950 @t949) @t268)))) % 6.51/6.70 (assume @p530 (forall @t679 (=> @t887 (tptp.c_Finite__Set_Ofun__left__comm @t106 @t47 @t678)))) % 6.51/6.70 (assume @p531 (forall @t954 (=> @t363 (= @t953 @t952)))) % 6.51/6.70 (assume @p532 (forall @t958 (=> @t957 (=> @t956 @t269)))) % 6.51/6.70 (assume @p533 (forall @t961 (=> @t957 (=> @t960 @t269)))) % 6.51/6.70 (assume @p534 (forall @t965 (=> @t964 (=> @t269 (=> @t963 (tptp.hBOOL (tptp.hAPP @t959 @t962))))))) % 6.51/6.70 (assume @p535 (forall @t262 (=> @t964 (=> @t269 @t956)))) % 6.51/6.70 (assume @p536 (forall @t262 (=> @t964 (=> @t269 @t960)))) % 6.51/6.70 (assume @p537 (forall @t967 (=> @t957 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t943) @t966)) @t598)))) % 6.51/6.70 (assume @p538 (forall @t969 (=> @t957 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t938) @t968)) @t598)))) % 6.51/6.70 (assume @p539 (forall @t958 (=> @t957 (=> @t970 @t645)))) % 6.51/6.70 (assume @p540 (forall @t961 (=> @t957 (=> @t972 @t645)))) % 6.51/6.70 (assume @p541 (forall @t965 (=> @t976 (=> @t645 @t975)))) % 6.51/6.70 (assume @p542 (forall @t262 (=> @t976 (=> @t645 @t970)))) % 6.51/6.70 (assume @p543 (forall @t262 (=> @t976 (=> @t645 @t972)))) % 6.51/6.70 (assume @p544 (forall @t967 (=> @t957 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t943) @t966)) @t673)))) % 6.51/6.70 (assume @p545 (forall @t969 (=> @t957 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t938) @t968)) @t673)))) % 6.51/6.70 (assume @p546 (forall @t410 (=> @t978 (= (tptp.hAPP @t977 @t38) @t255)))) % 6.51/6.70 (assume @p547 (forall @t410 (=> @t978 (= (tptp.hAPP (tptp.hAPP @t928 @t980) @t38) @t255)))) % 6.51/6.70 (assume @p548 (forall @t984 (not (= @t983 @t982)))) % 6.51/6.70 (assume @p549 (forall @t984 (not (= @t982 @t983)))) % 6.51/6.70 (assume @p550 (forall @t987 (= (forall @t44 (not @t986)) @t985))) % 6.51/6.70 (assume @p551 (forall @t987 (= (not @t985) (exists @t44 @t986)))) % 6.51/6.70 (assume @p552 (forall @t988 (= (tptp.hAPP @t620 @t905) @t456))) % 6.51/6.70 (assume @p553 (forall @t842 (=> @t784 (= (tptp.hAPP (tptp.hAPP @t776 @t989) @t51) (tptp.hAPP (tptp.hAPP @t928 @t839) @t837))))) % 6.51/6.70 (assume @p554 (forall (@list @t990 @t61 @t8 @t47) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t688 @t991) @t61) @t983) @t990) @t983))) % 6.51/6.70 (assume @p555 (forall (@list @t61 @t283 @t8 @t47) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t47 @t8 @t991 @t283) @t61) @t983))) % 6.51/6.70 (assume @p556 (forall @t965 (=> @t976 (=> @t269 @t975)))) % 6.51/6.70 (assume @p557 (forall @t965 (=> @t976 (=> @t645 (=> @t963 @t973))))) % 6.51/6.70 (assume @p558 (forall (@list @t337 @t47 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t175 @t786)) (not (= @t340 @t905))))) % 6.51/6.70 (assume @p559 (forall @t988 (= (tptp.c_Option_Ooption_Ooption__rec @t8 @t47 @t456 @t616 @t905) @t456))) % 6.51/6.70 (assume @p560 (forall @t845 @t992)) % 6.51/6.70 (assume @p561 (forall @t130 (=> @t390 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t129) @t61)))) % 6.51/6.70 (assume @p562 (forall @t995 (=> @t910 (=> @t363 (= (tptp.hAPP (tptp.hAPP @t719 (tptp.hAPP (tptp.hAPP @t994 (tptp.hAPP (tptp.hAPP @t898 @t912) @t1)) @t356)) @t51) (tptp.hAPP @t993 (tptp.hAPP (tptp.hAPP @t719 @t356) @t51))))))) % 6.51/6.70 (assume @p563 (forall @t997 (= (tptp.c_Map_Odom @t8 @t47 @t996) @t56))) % 6.51/6.70 (assume @p564 (forall @t999 (= (= @t998 @t56) (= @t2 @t996)))) % 6.51/6.70 (assume @p565 (forall @t845 (and @t844 @t992))) % 6.51/6.70 (assume @p566 (forall (@list @t61 @t337 @t8 @t47) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t47 @t8 @t337 @t49) @t61) @t983))) % 6.51/6.70 (assume @p567 (forall (@list @t295 @t8) (= (= @t296 @t56) (= @t295 @t983)))) % 6.51/6.70 (assume @p568 (forall @t365 (= (tptp.c_Option_Oset @t8 @t983) @t56))) % 6.51/6.70 (assume @p569 (forall (@list @t61 @t690 @t32 @t47 @t8) (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 @t32) @t690) @t695) @t996)))) % 6.51/6.70 (assume @p570 (forall (@list @t2 @t77 @t51 @t8) (=> @t363 (=> @t452 (= (tptp.hAPP @t861 @t195) (tptp.hAPP (tptp.hAPP @t864 (tptp.hAPP (tptp.hAPP @t1000 @t863) @t862)) (tptp.hAPP @t861 @t731))))))) % 6.51/6.70 (assume @p571 (forall (@list @t51 @t47 @t8 @t61 @t2) (=> (= @t67 @t983) (= (tptp.hAPP @t1001 @t514) (tptp.hAPP @t1001 @t51))))) % 6.51/6.70 (assume @p572 (forall @t888 (=> @t887 (=> @t363 (= @t876 @t870))))) % 6.51/6.70 (assume @p573 @t1007) % 6.51/6.70 (assume @p574 (forall @t364 (=> @t390 (=> @t363 (=> @t176 (= (tptp.hAPP @t868 @t896) @t13)))))) % 6.51/6.70 (assume @p575 (forall @t336 (=> @t390 (=> @t363 (=> @t156 (= @t1008 @t896)))))) % 6.51/6.70 (assume @p576 (forall @t915 (=> @t910 (=> @t363 (=> @t299 (= @t1009 (tptp.hAPP @t913 @t908))))))) % 6.51/6.70 (assume @p577 (forall (@list @t2 @t13 @t123 @t8 @t47) (=> @t910 (=> @t360 (=> (not (tptp.hBOOL (tptp.hAPP @t175 @t123))) (= (tptp.hAPP @t720 (tptp.hAPP @t89 @t123)) (tptp.hAPP @t1010 (tptp.hAPP @t720 @t123)))))))) % 6.51/6.70 (assume @p578 (forall @t1013 (=> @t910 (=> @t363 (=> @t452 (= (tptp.hAPP (tptp.hAPP @t912 @t1012) (tptp.hAPP @t907 @t731)) @t1011)))))) % 6.51/6.70 (assume @p579 (forall @t336 (=> @t390 (=> @t363 @t1015)))) % 6.51/6.70 (assume @p580 (forall @t174 (=> @t390 (=> @t363 (=> @t470 (=> @t171 (= (tptp.hAPP (tptp.hAPP @t745 @t1016) @t896) @t896))))))) % 6.51/6.70 (assume @p581 (forall @t894 (=> @t893 @t891))) % 6.51/6.70 (assume @p582 (forall @t174 (=> @t390 (=> @t363 (=> @t58 (=> @t452 (=> @t470 @t1019))))))) % 6.51/6.70 (assume @p583 (forall @t199 (=> @t390 (=> @t363 (=> @t58 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t896) @t625))))))) % 6.51/6.70 (assume @p584 (forall @t364 (=> @t390 (=> @t363 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t90) (tptp.hAPP (tptp.hAPP @t787 @t13) @t51)))))) % 6.51/6.70 (assume @p585 (forall @t1020 (=> @t910 (=> @t363 (= @t1009 @t914))))) % 6.51/6.70 (assume @p586 (forall @t1013 (=> @t910 (=> @t363 (=> @t452 (=> @t732 @t1021)))))) % 6.51/6.70 (assume @p587 (forall @t881 (=> @t726 (=> @t363 (=> @t452 (= (tptp.hAPP @t720 @t195) (tptp.hAPP (tptp.hAPP @t723 (tptp.hAPP (tptp.hAPP @t912 @t721) @t880)) @t1022))))))) % 6.51/6.70 (assume @p588 (forall @t881 (=> @t903 (=> @t363 (= (tptp.hAPP (tptp.hAPP @t897 @t77) @t902) (tptp.hAPP (tptp.hAPP @t899 @t77) @t51)))))) % 6.51/6.70 (assume @p589 (forall (@list @t61 @t2 @t47 @t8 @t64) (and (=> @t1025 (= @t1024 (tptp.hAPP @t1001 @t576))) (=> (not @t1025) (= @t1024 @t63))))) % 6.51/6.70 (assume @p590 (forall @t626 (= (= @t998 @t129) (exists @t1027 (= @t2 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 @t996) @t61) (tptp.hAPP @t618 @t1026))))))) % 6.51/6.70 (assume @p591 (forall @t336 (=> @t390 (=> @t363 (=> @t299 @t1015))))) % 6.51/6.70 (assume @p592 (forall @t336 (=> @t390 (=> @t363 (and (=> @t533 (= @t1014 @t61)) (=> @t534 (= @t1014 @t895))))))) % 6.51/6.70 (assume @p593 (forall @t174 (=> @t390 (=> @t363 (=> @t452 (=> @t733 (= (tptp.hAPP (tptp.hAPP @t745 @t1018) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t731)) @t1017))))))) % 6.51/6.70 (assume @p594 (forall @t174 (=> @t390 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (=> @t732 @t1019)))))))) % 6.51/6.70 (assume @p595 (forall @t336 (=> @t390 (=> @t363 (=> @t299 (= @t1014 (tptp.hAPP (tptp.hAPP @t787 @t61) @t51))))))) % 6.51/6.70 (assume @p596 (forall @t727 (=> @t910 (=> @t363 (=> @t176 (= @t721 (tptp.hAPP @t1010 @t722))))))) % 6.51/6.70 (assume @p597 (forall @t88 (= @t85 (tptp.hAPP @t1030 (tptp.hAPP (tptp.hAPP @t1028 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t611 @t47) @t81) @t2)) @t56))))) % 6.51/6.70 (assume @p598 (forall @t1032 (=> @t176 (=> @t1031 (tptp.hBOOL (tptp.hAPP @t322 @t918)))))) % 6.51/6.70 (assume @p599 (forall @t1038 (=> @t903 (=> @t1037 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t201 @t1035) (tptp.hAPP @t901 @t1033))))))) % 6.51/6.70 (assume @p600 (forall @t881 (=> @t903 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t201 @t902) (tptp.hAPP (tptp.hAPP @t900 @t77) @t2))))))) % 6.51/6.70 (assume @p601 (forall (@list @t109 @t47 @t8 @t13 @t337) (=> (= @t340 @t983) (= (tptp.c_Map_Oran @t47 @t8 @t689) (tptp.hAPP @t111 @t1039))))) % 6.51/6.70 (assume @p602 (forall @t1041 (=> @t903 (=> @t58 (= (tptp.hAPP @t901 @t1040) @t1033))))) % 6.51/6.70 (assume @p603 (forall @t1044 (= (tptp.hAPP (tptp.hAPP @t1029 @t1043) @t77) (tptp.hAPP (tptp.hAPP @t193 @t920) @t1042)))) % 6.51/6.70 (assume @p604 (forall @t1052 (and (=> @t1050 (= @t1049 @t49)) (=> @t1051 (= @t1049 @t1047))))) % 6.51/6.70 (assume @p605 (forall @t1052 (and (=> @t1050 (= @t1056 @t49)) (=> @t1051 (= @t1056 @t1053))))) % 6.51/6.70 (assume @p606 (forall @t1059 (= @t919 (exists @t7 (and @t234 @t1058))))) % 6.51/6.70 (assume @p607 (forall @t1066 (= (tptp.hAPP (tptp.hAPP @t1029 @t1065) @t225) (tptp.hAPP @t1064 (tptp.hAPP (tptp.hAPP @t1062 (tptp.hAPP (tptp.hAPP @t1061 @t1029) @t77)) @t225))))) % 6.51/6.70 (assume @p608 (forall (@list @t136 @t77 @t51 @t47 @t8) (= (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t232 @t1042)) @t231)) (forall @t7 (=> @t317 (forall @t817 (=> (tptp.hBOOL (tptp.hAPP @t816 @t951)) (tptp.hBOOL (tptp.hAPP @t136 @t813))))))))) % 6.51/6.70 (assume @p609 (forall @t1072 (= (tptp.hAPP @t1030 (tptp.hAPP (tptp.hAPP @t1071 (tptp.hAPP (tptp.hAPP @t1070 @t1063) @t77)) @t225)) (tptp.hAPP (tptp.hAPP @t1063 @t1068) @t225)))) % 6.51/6.70 (assume @p610 (forall @t1074 (= @t925 (exists @t7 (and @t234 @t1073))))) % 6.51/6.70 (assume @p611 (forall @t342 (=> @t341 (tptp.hBOOL (tptp.hAPP @t188 @t1039))))) % 6.51/6.70 (assume @p612 (forall @t1076 (= (tptp.hBOOL (tptp.hAPP @t188 @t1042)) (exists @t7 (and @t317 @t1075))))) % 6.51/6.70 (assume @p613 (forall @t1078 (= (= @t1042 @t56) @t1077))) % 6.51/6.70 (assume @p614 (forall @t59 (and (=> @t57 (= @t1081 @t49)) (=> @t58 (= @t1081 @t18))))) % 6.51/6.70 (assume @p615 (forall (@list @t51 @t8 @t47) (= (tptp.hAPP @t1030 (tptp.hAPP @t1082 @t56)) @t56))) % 6.51/6.70 (assume @p616 (forall @t1083 (= (= @t56 @t1042) @t1077))) % 6.51/6.70 (assume @p617 (forall @t1089 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t1088) @t77)) (forall @t7 (=> @t1086 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t1084) @t77))))))) % 6.51/6.70 (assume @p618 (forall @t1092 (= (tptp.hAPP (tptp.hAPP @t1029 @t1091) @t77) (tptp.hAPP @t1064 @t1090)))) % 6.51/6.70 (assume @p619 (forall (@list @t77 @t51 @t106 @t2 @t8 @t47) (= (tptp.hAPP @t78 @t1065) (tptp.hAPP @t1064 (tptp.hAPP (tptp.hAPP @t1093 @t78) @t77))))) % 6.51/6.70 (assume @p620 (forall @t1097 (= (tptp.hAPP @t1030 @t1096) (tptp.hAPP @t1095 @t77)))) % 6.51/6.70 (assume @p621 (forall @t1102 (= (tptp.hAPP @t1087 @t1101) (tptp.hAPP (tptp.hAPP @t193 @t1088) (tptp.hAPP @t1087 @t77))))) % 6.51/6.70 (assume @p622 (forall @t1104 (= (tptp.hAPP (tptp.hAPP @t1029 @t306) @t1033) (tptp.hAPP (tptp.hAPP @t193 (tptp.hAPP @t1030 @t1033)) (tptp.hAPP @t1103 @t1033))))) % 6.51/6.70 (assume @p623 (forall @t1109 (= @t1108 @t1106))) % 6.51/6.70 (assume @p624 (forall @t1109 (= @t1113 @t1111))) % 6.51/6.70 (assume @p625 (forall @t1114 (= @t1106 @t1108))) % 6.51/6.70 (assume @p626 (forall @t1115 (= (tptp.hAPP @t748 @t1088) (tptp.hAPP @t1087 (tptp.hAPP (tptp.hAPP @t1107 @t748) @t51))))) % 6.51/6.70 (assume @p627 (forall @t1116 (= @t1111 @t1113))) % 6.51/6.70 (assume @p628 (forall @t1123 (= (tptp.hAPP (tptp.hAPP @t729 @t1088) (tptp.hAPP @t1121 @t77)) (tptp.hAPP @t1087 (tptp.hAPP (tptp.hAPP @t1122 @t1121) (tptp.hAPP (tptp.hAPP @t1119 (tptp.hAPP @t1118 @t1112)) @t77)))))) % 6.51/6.70 (assume @p629 (forall @t1130 (=> @t1129 (= (tptp.hAPP @t1125 (tptp.hAPP (tptp.hAPP @t1128 @t1127) @t2)) (tptp.hAPP @t1127 (tptp.hAPP (tptp.hAPP @t1126 @t1125) @t775)))))) % 6.51/6.70 (assume @p630 (forall @t1132 (=> @t1129 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t47 @t779) @t51) @t2) @t61) (tptp.hAPP @t1125 @t1131))))) % 6.51/6.70 (assume @p631 (forall @t1109 (= @t1134 @t1133))) % 6.51/6.70 (assume @p632 (forall @t1116 (= @t1133 @t1134))) % 6.51/6.70 (assume @p633 (forall @t1135 (= (tptp.c_Map_Oran @t47 @t8 @t991) @t56))) % 6.51/6.70 (assume @p634 (forall @t1139 (=> @t1138 (= (tptp.hAPP @t917 @t1136) (tptp.hAPP @t82 @t918))))) % 6.51/6.70 (assume @p635 (forall @t1140 (=> @t176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t920) @t918))))) % 6.51/6.70 (assume @p636 (forall @t1144 (=> @t1143 (= (tptp.hAPP (tptp.hAPP @t304 @t1142) @t1141) @t1141)))) % 6.51/6.70 (assume @p637 (forall @t1148 (and (=> @t1050 (= @t1146 @t1147)) (=> @t1051 (= @t1146 @t1145))))) % 6.51/6.70 (assume @p638 (forall @t199 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t55) @t51) @t492) @t51))) % 6.51/6.70 (assume @p639 (forall @t1148 (and (=> @t1050 (= @t1145 @t49)) (=> @t1051 (= @t1145 @t1146))))) % 6.51/6.70 (assume @p640 (forall (@list @t1137 @t1033 @t51 @t47 @t8) (=> @t1129 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t1125 @t1033)) @t1137)) (forall @t7 (=> @t317 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1149) @t1137)))))))) % 6.51/6.70 (assume @p641 (forall (@list @t2 @t51 @t47 @t13 @t8) (=> @t1150 (= (tptp.hBOOL (tptp.hAPP @t672 (tptp.hAPP @t1125 @t2))) (exists @t7 (and @t317 (tptp.hBOOL (tptp.hAPP @t672 @t5)))))))) % 6.51/6.70 (assume @p642 (forall @t1052 (and (=> @t1050 (= @t1053 @t77)) (=> @t1051 (= @t1053 @t1056))))) % 6.51/6.70 (assume @p643 (forall @t1052 (and (=> @t1050 (= @t1047 @t51)) (=> @t1051 (= @t1047 @t1049))))) % 6.51/6.70 (assume @p644 (forall @t199 (=> @t390 (=> @t363 (=> @t58 (=> (forall @t503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t1151) @t501))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t896) @t51)))))))) % 6.51/6.70 (assume @p645 (forall @t1156 (= (tptp.hAPP (tptp.hAPP @t864 @t1155) @t1153) @t1152))) % 6.51/6.70 (assume @p646 (forall @t1160 (= (tptp.hAPP @t1159 @t1153) @t1152))) % 6.51/6.70 (assume @p647 (forall @t1169 (= @t1168 (tptp.hAPP @t1166 @t1164)))) % 6.51/6.70 (assume @p648 (forall @t1175 (= (tptp.hAPP (tptp.hAPP @t864 @t1174) @t1173) @t1171))) % 6.51/6.70 (assume @p649 (forall @t1179 (= (tptp.hAPP @t1178 @t1176) @t1171))) % 6.51/6.70 (assume @p650 (forall @t1187 (=> @t1186 (= (tptp.hAPP @t1166 @t1183) (tptp.hAPP (tptp.hAPP @t864 @t1181) @t1162))))) % 6.51/6.70 (assume @p651 (forall (@list @t1034 @t690 @t1190) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1193) @t1034)) (tptp.hBOOL (tptp.hAPP @t1191 @t1189))))) % 6.51/6.70 (assume @p652 (forall @t1196 (=> @t1195 (tptp.hBOOL (tptp.hAPP @t1194 (tptp.hAPP @t1159 @t1161)))))) % 6.51/6.70 (assume @p653 (forall @t1156 (=> (or @t1201 @t1198) @t1197))) % 6.51/6.70 (assume @p654 (forall @t1156 (=> @t1197 (=> @t1202 @t1201)))) % 6.51/6.70 (assume @p655 (forall @t1156 (=> @t1201 @t1197))) % 6.51/6.70 (assume @p656 (forall @t1209 (= @t1208 @t1206))) % 6.51/6.70 (assume @p657 (forall @t1209 (= @t1205 (and @t1208 @t1210)))) % 6.51/6.70 (assume @p658 (forall @t1156 (=> @t1197 (=> @t1212 @t1198)))) % 6.51/6.70 (assume @p659 (forall @t1169 (=> @t1215 (=> (tptp.hBOOL (tptp.hAPP @t1214 @t1161)) (tptp.hBOOL (tptp.hAPP @t1213 @t1161)))))) % 6.51/6.70 (assume @p660 (forall @t1156 (=> @t1198 @t1197))) % 6.51/6.70 (assume @p661 (forall @t1156 (or @t1197 @t1212))) % 6.51/6.70 (assume @p662 (forall @t1216 (tptp.hBOOL (tptp.hAPP @t1211 @t1153)))) % 6.51/6.70 (assume @p663 (forall @t1156 (= @t1155 @t1158))) % 6.51/6.70 (assume @p664 (forall @t1220 (= (tptp.hAPP @t1217 @t1219) (tptp.hAPP @t1218 (tptp.hAPP @t1217 @t272))))) % 6.51/6.70 (assume @p665 (forall @t1221 (= (tptp.hAPP (tptp.hAPP @t1000 @t1155) @t1161) (tptp.hAPP @t1154 @t1176)))) % 6.51/6.70 (assume @p666 (forall @t1225 (= (= @t1224 @t1223) @t1203))) % 6.51/6.70 (assume @p667 (forall @t1230 (= (= @t1229 @t1227) @t1203))) % 6.51/6.70 (assume @p668 (forall @t1160 (tptp.hBOOL (tptp.hAPP @t1211 @t1155)))) % 6.51/6.70 (assume @p669 (forall @t1160 (tptp.hBOOL (tptp.hAPP @t1211 @t1158)))) % 6.51/6.70 (assume @p670 (forall @t1209 (= @t1208 (exists @t1233 (= @t692 @t1232))))) % 6.51/6.70 (assume @p671 (forall @t1225 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1224) @t1223)) @t1208))) % 6.51/6.70 (assume @p672 (forall @t1235 (=> @t1215 (tptp.hBOOL (tptp.hAPP @t1213 @t1234))))) % 6.51/6.70 (assume @p673 (forall @t1235 (=> @t1215 (tptp.hBOOL (tptp.hAPP @t1213 @t1236))))) % 6.51/6.70 (assume @p674 (forall @t1169 (=> @t1215 (tptp.hBOOL (tptp.hAPP @t1237 @t1164))))) % 6.51/6.70 (assume @p675 (forall @t1241 (=> @t1215 (=> @t1240 (tptp.hBOOL (tptp.hAPP @t1237 @t1239)))))) % 6.51/6.70 (assume @p676 (forall @t1179 (=> @t1242 @t1195))) % 6.51/6.70 (assume @p677 (forall @t1179 (=> @t1242 @t1197))) % 6.51/6.70 (assume @p678 (forall @t1179 (=> @t1242 (not (=> @t1197 (not @t1195)))))) % 6.51/6.70 (assume @p679 (forall @t1245 (not (tptp.hBOOL (tptp.hAPP @t1244 @t1165))))) % 6.51/6.70 (assume @p680 (forall @t1247 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1246) @t1165))))) % 6.51/6.70 (assume @p681 (forall @t1225 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1224) @t1223)) @t1205))) % 6.51/6.70 (assume @p682 (forall @t1235 (=> @t1249 (tptp.hBOOL (tptp.hAPP @t1248 @t1234))))) % 6.51/6.70 (assume @p683 (forall @t1235 (=> @t1249 (tptp.hBOOL (tptp.hAPP @t1248 @t1236))))) % 6.51/6.70 (assume @p684 (forall @t1169 (=> @t1249 (tptp.hBOOL (tptp.hAPP @t1250 @t1164))))) % 6.51/6.70 (assume @p685 (forall @t1241 (=> @t1249 (=> @t1252 (tptp.hBOOL (tptp.hAPP @t1250 @t1239)))))) % 6.51/6.70 (assume @p686 (forall (@list @t1153 @t1152 @t1238 @t1161) (=> @t1252 (=> (= (tptp.hAPP @t1154 @t1238) @t1173) @t1201)))) % 6.51/6.70 (assume @p687 (forall @t1169 (=> (tptp.hBOOL (tptp.hAPP @t1244 @t1161)) (tptp.hBOOL (tptp.hAPP @t1248 @t1161))))) % 6.51/6.70 (assume @p688 (forall (@list @t1153 @t1161 @t1162) (=> @t1254 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 (tptp.hAPP @t1182 @t1153)) @t1161))))) % 6.51/6.70 (assume @p689 (forall @t1258 (=> @t1201 (=> (tptp.hBOOL (tptp.hAPP @t1200 @t1238)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1257) @t1256)))))) % 6.51/6.70 (assume @p690 (forall @t1259 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t255) @t38)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t254) @t255)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 (tptp.hAPP (tptp.hAPP @t864 @t255) @t254)) (tptp.hAPP (tptp.hAPP @t864 @t38) @t254))))))) % 6.51/6.70 (assume @p691 (forall @t1225 (=> @t1266 (=> @t1265 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1263) @t1261)) @t1205))))) % 6.51/6.70 (assume @p692 (forall @t1225 (=> @t1266 (=> @t1265 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1263) @t1261)) @t1208))))) % 6.51/6.70 (assume @p693 (forall @t1175 (=> (tptp.hBOOL (tptp.hAPP @t1185 @t1152)) (=> @t1195 (= (tptp.hAPP (tptp.hAPP @t864 (tptp.hAPP @t1170 @t1161)) (tptp.hAPP @t1267 @t1161)) @t1171))))) % 6.51/6.70 (assume @p694 (forall @t1225 (=> @t1266 (=> @t1265 (= (= @t1263 @t1261) @t1203))))) % 6.51/6.70 (assume @p695 (forall @t1269 (=> (tptp.hBOOL (tptp.hAPP @t1213 @t1153)) (= (tptp.hAPP @t1267 @t1268) @t1165)))) % 6.51/6.70 (assume @p696 (forall @t1258 (=> @t1197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 (tptp.hAPP @t1170 @t1238)) (tptp.hAPP @t1267 @t1238)))))) % 6.51/6.70 (assume @p697 (forall @t1258 (=> @t1197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1257) @t1256))))) % 6.51/6.70 (assume @p698 (forall @t1156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1171) @t1152)))) % 6.51/6.70 (assume @p699 (forall @t1169 (= @t1168 (tptp.hAPP (tptp.hAPP @t864 (tptp.hAPP @t1166 @t1161)) @t1162)))) % 6.51/6.70 (assume @p700 (forall @t1271 (= (tptp.hBOOL (tptp.hAPP @t1270 @t1193)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1189) @t1190))))) % 6.51/6.70 (assume @p701 (forall @t1156 (=> @t1273 @t1272))) % 6.51/6.70 (assume @p702 (forall @t1187 (=> @t1186 (= @t1275 @t1274)))) % 6.51/6.70 (assume @p703 (forall @t1187 (=> @t1186 (= @t1274 @t1275)))) % 6.51/6.70 (assume @p704 (forall @t1187 (=> @t1186 (= @t1277 @t1276)))) % 6.51/6.70 (assume @p705 (forall @t1271 (=> @t1280 (= (= @t1278 @t690) (= @t1190 (tptp.hAPP @t1222 @t1034)))))) % 6.51/6.70 (assume @p706 (forall @t1160 (=> @t1212 (= (tptp.hAPP (tptp.hAPP @t1000 @t1171) @t1153) @t1152)))) % 6.51/6.70 (assume @p707 (forall (@list @t1034 @t1190 @t690) (=> (tptp.hBOOL (tptp.hAPP @t1264 @t1190)) (= (tptp.hBOOL (tptp.hAPP @t1279 @t1193)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1189) @t1190)))))) % 6.51/6.70 (assume @p708 (forall @t1187 (=> @t1186 (= @t1276 @t1277)))) % 6.51/6.70 (assume @p709 (forall @t1160 (=> @t1212 @t1272))) % 6.51/6.70 (assume @p710 (forall @t1220 (=> @t1283 @t1282))) % 6.51/6.70 (assume @p711 (forall @t1284 (=> (tptp.hBOOL (tptp.hAPP @t1281 @t272)) @t1282))) % 6.51/6.70 (assume @p712 (forall @t715 (=> @t390 (=> (forall @t503 (= (tptp.hAPP @t356 @t1151) (tptp.hAPP (tptp.hAPP @t745 @t511) @t510))) (=> @t509 (=> @t508 (= (tptp.hAPP @t356 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t505)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t507)))))))) % 6.51/6.70 (assume @p713 (forall (@list @t51 @t337 @t47 @t64 @t8) (=> (tptp.hBOOL (tptp.hAPP @t247 (tptp.c_Map_Oran @t47 @t8 (tptp.c_Map_Orestrict__map @t47 @t8 @t337 @t51)))) (exists @t7 (and @t317 (= (tptp.hAPP @t337 @t3) @t66)))))) % 6.51/6.70 (assume @p714 (forall @t199 (=> @t1129 (=> @t363 (= @t1285 (tptp.hAPP (tptp.hAPP @t734 @t73) @t51)))))) % 6.51/6.70 (assume @p715 (forall @t538 (=> @t518 (=> @t517 (=> @t367 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t316 @t857)) (= @t4 @t315))) @t536)))))) % 6.51/6.70 (assume @p716 (forall @t954 (=> @t363 (=> @t1287 @t953)))) % 6.51/6.70 (assume @p717 (forall (@list @t64 @t61 @t337 @t47 @t8) (= (tptp.c_Map_Orestrict__map @t8 @t47 @t699 @t1289) (tptp.c_Map_Orestrict__map @t8 @t47 @t337 @t1289)))) % 6.51/6.70 (assume @p718 (forall @t626 (= (tptp.c_Map_Orestrict__map @t8 @t47 @t2 @t1289) (tptp.hAPP @t1290 @t905)))) % 6.51/6.70 (assume @p719 (forall (@list @t51 @t225 @t157 @t8) (=> @t1297 (=> @t1294 @t1293)))) % 6.51/6.70 (assume @p720 (forall @t1300 (=> @t164 @t1299))) % 6.51/6.70 (assume @p721 (forall (@list @t136 @t692 @t337) (=> (=> @t1205 @t1302) (=> (=> @t1203 @t1302) (=> (=> @t1304 @t1302) @t1302))))) % 6.51/6.70 (assume @p722 (forall (@list @t1305 @t1306) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1306) @t1305)) (not (= @t1306 @t1305))))) % 6.51/6.70 (assume @p723 (forall @t1160 (=> @t1308 @t1202))) % 6.51/6.70 (assume @p724 (forall @t1216 (not (tptp.hBOOL (tptp.hAPP @t1307 @t1153))))) % 6.51/6.70 (assume @p725 (forall @t1311 (=> @t640 (=> (not @t1310) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t210) @t132)))))) % 6.51/6.70 (assume @p726 (forall @t1209 (= @t1210 (or @t1205 @t1304)))) % 6.51/6.70 (assume @p727 (forall @t114 (=> @t978 (= (= @t1314 @t1313) @t110)))) % 6.51/6.70 (assume @p728 (forall @t114 (=> @t978 (= (= @t1314 @t109) (= @t1313 @t13))))) % 6.51/6.70 (assume @p729 (forall @t114 (=> @t978 (= @t1315 (= @t109 @t1314))))) % 6.51/6.70 (assume @p730 (forall @t405 (=> @t978 (= (tptp.hAPP @t1312 @t1316) @t255)))) % 6.51/6.70 (assume @p731 (forall @t174 (= (= @t1298 @t1317) @t168))) % 6.51/6.70 (assume @p732 (forall @t199 (= (tptp.hAPP @t1288 @t1298) @t51))) % 6.51/6.70 (assume @p733 (forall @t224 (=> @t1320 (= (= @t1319 @t1318) @t222)))) % 6.51/6.70 (assume @p734 (forall (@list @t61 @t51 @t47 @t8) (=> (tptp.class_Groups_Ouminus @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t74) @t51) @t61) (tptp.hAPP @t1312 @t92))))) % 6.51/6.70 (assume @p735 (forall @t134 (=> @t1320 (= (tptp.hAPP @t1312 @t1321) @t132)))) % 6.51/6.70 (assume @p736 (forall @t224 (=> @t1320 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1319) @t1318)) @t219)))) % 6.51/6.70 (assume @p737 (forall @t215 (=> @t1320 (=> @t213 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1322) @t1321)))))) % 6.51/6.70 (assume @p738 (forall @t114 (=> @t601 (= (tptp.hBOOL (tptp.hAPP @t597 @t1313)) (tptp.hBOOL (tptp.hAPP @t1323 @t1314)))))) % 6.51/6.70 (assume @p739 (forall @t114 (=> @t601 (= @t1326 (tptp.hBOOL (tptp.hAPP @t1324 @t13)))))) % 6.51/6.70 (assume @p740 (forall @t335 (=> @t601 (= (tptp.hBOOL (tptp.hAPP @t1324 @t1314)) @t598)))) % 6.51/6.70 (assume @p741 (forall @t410 (=> @t601 (=> @t269 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1327) @t1316)))))) % 6.51/6.70 (assume @p742 (forall @t114 (=> @t601 (= (tptp.hBOOL (tptp.hAPP @t672 @t1313)) (tptp.hBOOL (tptp.hAPP @t1328 @t1314)))))) % 6.51/6.70 (assume @p743 (forall @t114 (=> @t601 (= @t1331 (tptp.hBOOL (tptp.hAPP @t1329 @t13)))))) % 6.51/6.70 (assume @p744 (forall @t335 (=> @t601 (= (tptp.hBOOL (tptp.hAPP @t1329 @t1314)) @t673)))) % 6.51/6.70 (assume @p745 (forall @t410 (=> @t978 (= (tptp.hAPP @t1332 @t932) @t38)))) % 6.51/6.70 (assume @p746 (forall @t410 (=> @t978 (= (tptp.hAPP @t931 (tptp.hAPP @t1332 @t38)) @t38)))) % 6.51/6.70 (assume @p747 (forall @t410 (=> @t978 (= @t1333 (tptp.hAPP (tptp.hAPP @t928 @t1327) @t1316))))) % 6.51/6.70 (assume @p748 (forall @t410 (=> @t708 (= @t1333 (tptp.hAPP @t1332 @t1327))))) % 6.51/6.70 (assume @p749 (forall @t1300 (=> @t1299 @t164))) % 6.51/6.70 (assume @p750 (forall @t1300 (= @t1299 @t164))) % 6.51/6.70 (assume @p751 (forall @t410 (=> @t708 (= (tptp.hAPP @t1312 @t980) @t1335)))) % 6.51/6.70 (assume @p752 (forall @t365 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t1337) @t56))) % 6.51/6.70 (assume @p753 (forall @t199 (=> @t1341 @t1339))) % 6.51/6.70 (assume @p754 (forall @t174 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t1317) @t1298))))) % 6.51/6.70 (assume @p755 (forall @t174 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t1298) @t1317)) @t171))) % 6.51/6.70 (assume @p756 (forall @t200 (=> @t1342 (tptp.hBOOL (tptp.hAPP @t170 @t1340))))) % 6.51/6.70 (assume @p757 (forall @t174 (=> (tptp.hBOOL (tptp.hAPP @t1345 @t77)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t1340) @t1343))))) % 6.51/6.70 (assume @p758 (forall @t174 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t1347) (tptp.hAPP (tptp.hAPP @t193 @t1340) @t1343)))) % 6.51/6.70 (assume @p759 (forall @t174 (= @t195 (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t1349)))) % 6.51/6.70 (assume @p760 (forall @t311 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t1350) (tptp.hAPP (tptp.hAPP @t193 @t13) @t1343)))) % 6.51/6.70 (assume @p761 (forall @t86 (=> @t708 (= (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP (tptp.hAPP @t1351 @t1312) @t2)) @t51) (tptp.hAPP @t1312 @t839))))) % 6.51/6.70 (assume @p762 (forall (@list @t392 @t2 @t8 @t47) (= (tptp.hAPP @t78 (tptp.c_Complete__Lattice_OSup__class_OSup @t48 @t392)) (tptp.hAPP (tptp.hAPP @t1352 @t392) @t78)))) % 6.51/6.70 (assume @p763 (forall @t200 (= (tptp.hAPP (tptp.hAPP @t729 @t1343) @t51) (tptp.hAPP @t1354 (tptp.hAPP (tptp.hAPP @t610 @t729) @t51))))) % 6.51/6.70 (assume @p764 (forall @t174 (= (tptp.hAPP @t730 @t1343) (tptp.hAPP @t1354 @t730)))) % 6.51/6.70 (assume @p765 (forall @t1358 (= @t1357 @t1042))) % 6.51/6.70 (assume @p766 (forall @t1078 (= @t1042 @t1357))) % 6.51/6.70 (assume @p767 (forall @t1078 (= @t1363 @t1361))) % 6.51/6.70 (assume @p768 (forall @t1078 (= @t1361 @t1363))) % 6.51/6.70 (assume @p769 (forall @t594 (=> @t1129 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1285) @t109)) @t1365)))) % 6.51/6.70 (assume @p770 (forall (@list @t392 @t13 @t8) (=> @t1150 (= (tptp.hBOOL (tptp.hAPP @t672 (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t392))) (exists @t7 (and @t1366 (tptp.hBOOL (tptp.hAPP @t672 @t3)))))))) % 6.51/6.70 (assume @p771 (forall @t410 (=> @t978 @t1367))) % 6.51/6.70 (assume @p772 (forall @t410 (=> @t708 @t1367))) % 6.51/6.70 (assume @p773 (forall @t410 (=> @t978 (= (tptp.hAPP @t979 @t1327) @t932)))) % 6.51/6.70 (assume @p774 (forall @t134 (=> @t1320 (= (tptp.hAPP @t746 @t1321) @t73)))) % 6.51/6.70 (assume @p775 (forall @t134 (=> @t1320 (= (tptp.hAPP @t1368 @t132) @t73)))) % 6.51/6.70 (assume @p776 (forall @t215 (=> @t1320 (= @t1370 (tptp.hAPP @t746 @t1322))))) % 6.51/6.70 (assume @p777 (forall @t215 (=> @t1320 (= (tptp.hAPP @t1312 @t757) (tptp.hAPP @t1371 @t1322))))) % 6.51/6.70 (assume @p778 (forall @t215 (=> @t1320 (= (tptp.hAPP @t1312 @t413) (tptp.hAPP @t1368 @t1322))))) % 6.51/6.70 (assume @p779 (forall @t199 (= (tptp.hBOOL (tptp.hAPP @t172 @t1298)) @t57))) % 6.51/6.70 (assume @p780 (forall @t199 (= (tptp.hAPP @t1372 @t51) @t56))) % 6.51/6.70 (assume @p781 (forall @t199 (= (tptp.hAPP @t730 @t1298) @t56))) % 6.51/6.70 (assume @p782 (forall @t1375 (= (= (tptp.hAPP (tptp.hAPP @t729 @t1291) @t51) @t56) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1374 @t225)) (= (tptp.hAPP @t1373 @t51) @t56)))))) % 6.51/6.70 (assume @p783 (forall @t174 (= (tptp.hAPP @t1288 @t195) (tptp.hAPP @t1372 @t1317)))) % 6.51/6.70 (assume @p784 (forall @t174 (= (tptp.hAPP @t1288 @t731) (tptp.hAPP @t1376 @t1317)))) % 6.51/6.70 (assume @p785 (forall @t174 (= (tptp.hAPP @t1288 @t539) (tptp.hAPP @t1376 @t77)))) % 6.51/6.70 (assume @p786 (forall @t174 (= (tptp.hAPP @t529 @t1317) @t731))) % 6.51/6.70 (assume @p787 (forall @t174 (= @t539 (tptp.hAPP @t730 @t1317)))) % 6.51/6.70 (assume @p788 (forall @t174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t1378)) (tptp.hAPP (tptp.hAPP @t729 @t1340) @t1343))))) % 6.51/6.70 (assume @p789 (forall @t1109 (= (tptp.hAPP @t1105 @t1101) (tptp.hAPP (tptp.hAPP @t193 (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t1380)) (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t1379))))) % 6.51/6.70 (assume @p790 (forall @t100 (=> @t1129 (=> @t156 (tptp.hBOOL (tptp.hAPP @t220 @t1285)))))) % 6.51/6.70 (assume @p791 (forall @t365 (=> @t1129 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t56) @t73)))) % 6.51/6.70 (assume @p792 (forall @t14 (=> @t1129 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t113) @t13)))) % 6.51/6.70 (assume @p793 (forall @t91 (=> @t1129 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t90) (tptp.hAPP @t868 @t1285))))) % 6.51/6.70 (assume @p794 (forall @t174 (= @t732 (tptp.hBOOL (tptp.hAPP @t172 @t1317))))) % 6.51/6.70 (assume @p795 (forall @t1284 (=> (tptp.hBOOL (tptp.hAPP @t1309 @t272)) @t1381))) % 6.51/6.70 (assume @p796 (forall @t1220 (=> @t1310 @t1381))) % 6.51/6.70 (assume @p797 (forall @t1311 (=> @t1310 @t1283))) % 6.51/6.70 (assume @p798 (forall @t114 (=> @t1129 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t121) @t882)))) % 6.51/6.70 (assume @p799 (forall @t174 (=> @t1129 (=> @t363 (= (tptp.hAPP (tptp.hAPP @t389 @t77) @t1285) (tptp.hAPP (tptp.hAPP @t734 @t77) @t51)))))) % 6.51/6.70 (assume @p800 (forall @t199 (=> @t1129 (=> @t363 (=> @t58 (= @t625 @t1285)))))) % 6.51/6.70 (assume @p801 (forall @t215 (=> @t1383 (= @t1370 (tptp.hAPP @t1382 @t1322))))) % 6.51/6.70 (assume @p802 (forall @t215 (=> @t1320 (=> (= @t757 @t73) (=> (= @t413 @t1384) (= @t1321 @t210)))))) % 6.51/6.70 (assume @p803 (forall (@list @t64 @t61 @t51 @t8) (=> @t363 (=> @t156 (=> @t248 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 (tptp.hAPP @t1385 (tptp.hAPP (tptp.hAPP @t528 @t530) @t1387))) @t1386))))))) % 6.51/6.70 (assume @p804 (forall @t336 (=> @t363 (=> @t156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1388) @t1386)))))) % 6.51/6.70 (assume @p805 (forall (@list @t1 @t2 @t136 @t51 @t8 @t47) (=> @t910 (=> @t363 (= (tptp.hAPP (tptp.hAPP @t719 (tptp.hAPP (tptp.hAPP @t994 (tptp.hAPP (tptp.hAPP @t1394 (tptp.hAPP @t1393 @t136)) @t2)) @t1)) @t51) (tptp.hAPP (tptp.hAPP @t912 (tptp.hAPP @t720 @t1392)) (tptp.hAPP @t907 (tptp.hAPP @t730 @t1391)))))))) % 6.51/6.70 (assume @p806 (forall @t1396 (=> @t759 (=> @t363 (=> @t1395 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP (tptp.hAPP @t745 @t109) @t18)) (tptp.hAPP (tptp.hAPP @t787 @t18) @t51)))))))) % 6.51/6.70 (assume @p807 (forall @t1396 (=> @t404 (=> @t363 (=> @t1365 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP (tptp.hAPP @t734 @t18) @t51)) (tptp.hAPP (tptp.hAPP @t389 @t109) @t18)))))))) % 6.51/6.70 (assume @p808 (forall @t881 (=> @t903 (=> @t363 (= (tptp.hAPP (tptp.hAPP @t1397 @t77) @t1401) (tptp.hAPP (tptp.hAPP @t1398 @t77) @t51)))))) % 6.51/6.70 (assume @p809 (forall (@list @t1402 @t1405 @t1404 @t47 @t337 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t1406 (tptp.c_Map_Odom @t8 @t47 @t1404)))) (= (tptp.c_Map_Omap__add @t8 @t47 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 @t1405) @t337) @t1403) @t1404) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 (tptp.c_Map_Omap__add @t8 @t47 @t1405 @t1404)) @t337) @t1403))))) % 6.51/6.70 (assume @p810 (forall @t130 (tptp.hBOOL (tptp.hAPP @t155 @t1407)))) % 6.51/6.70 (assume @p811 (forall @t1412 (=> @t1411 (=> (not @t922) @t310)))) % 6.51/6.70 (assume @p812 (forall @t1412 (=> @t1411 (=> @t176 @t922)))) % 6.51/6.70 (assume @p813 (forall @t1419 (=> @t1418 (=> (not @t1414) (not @t1413))))) % 6.51/6.70 (assume @p814 (forall @t1419 (=> @t1418 (=> @t1413 @t1414)))) % 6.51/6.70 (assume @p815 (forall @t1422 (=> @t1421 (=> (not @t926) @t310)))) % 6.51/6.70 (assume @p816 (forall @t1422 (=> @t1421 (=> @t176 @t926)))) % 6.51/6.70 (assume @p817 (forall (@list @t51 @t47 @t1085 @t8) (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t232 @t1085)) (tptp.hBOOL (tptp.hAPP @t358 @t1084)))) (tptp.hBOOL (tptp.hAPP @t358 @t1423))))) % 6.51/6.70 (assume @p818 (forall @t1428 (tptp.hBOOL (tptp.hAPP @t1427 (tptp.hAPP @t1426 (tptp.hAPP @t1425 @t690)))))) % 6.51/6.70 (assume @p819 (forall @t1428 (tptp.hBOOL (tptp.hAPP @t1427 (tptp.hAPP @t1426 (tptp.hAPP (tptp.hAPP @t1424 @t1184) @t690)))))) % 6.51/6.70 (assume @p820 (forall @t1431 (=> @t1430 @t1429))) % 6.51/6.70 (assume @p821 (forall @t1441 (=> (or @t1440 @t1439) (tptp.hBOOL (tptp.hAPP @t359 @t1437))))) % 6.51/6.70 (assume @p822 (forall @t199 (=> @t363 (tptp.hBOOL (tptp.hAPP @t1338 @t1443))))) % 6.51/6.70 (assume @p823 (forall @t1445 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t392) (tptp.hAPP (tptp.hAPP @t1353 @t392) @t1444)))) % 6.51/6.70 (assume @p824 (forall @t1078 (= @t1447 @t1446))) % 6.51/6.70 (assume @p825 (forall @t1078 (= @t1446 @t1447))) % 6.51/6.70 (assume @p826 (forall @t365 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t1448) @t1407))) % 6.51/6.70 (assume @p827 (forall @t1453 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1450 @t1452) @t61)) (tptp.hBOOL (tptp.hAPP @t190 (tptp.hAPP @t1450 @t1449)))))) % 6.51/6.70 (assume @p828 (forall (@list @t77 @t8 @t47) (= (tptp.hAPP (tptp.hAPP @t1415 @t49) @t77) @t1407))) % 6.51/6.70 (assume @p829 (forall @t59 (and (=> @t57 (= @t1454 @t1455)) (=> @t58 (= @t1454 @t18))))) % 6.51/6.70 (assume @p830 (forall @t1132 (=> @t1129 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t47 @t779) @t51) @t2) @t61) (tptp.hAPP @t1457 @t1131))))) % 6.51/6.70 (assume @p831 (forall @t997 (=> @t1460 @t1458))) % 6.51/6.70 (assume @p832 (forall @t997 (= (tptp.hBOOL (tptp.hAPP @t1465 @t1464)) (and @t1461 @t1458)))) % 6.51/6.70 (assume @p833 (forall @t365 (= (tptp.hBOOL (tptp.hAPP @t1468 @t1467)) @t1461))) % 6.51/6.70 (assume @p834 (forall @t997 (=> @t1461 (=> @t1458 (tptp.hBOOL (tptp.hAPP @t1472 @t1471)))))) % 6.51/6.70 (assume @p835 (forall @t365 (= @t1407 (tptp.hAPP @t1389 (tptp.hAPP @t1473 tptp.c_fTrue))))) % 6.51/6.70 (assume @p836 (forall @t76 (=> @t1474 (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t74) @t61) @t1384)))) % 6.51/6.70 (assume @p837 (forall @t1475 (= @t1390 @t136))) % 6.51/6.70 (assume @p838 (forall (@list @t1476 @t1477 @t1478 @t47 @t8) (= (tptp.c_Map_Omap__add @t8 @t47 @t1478 (tptp.c_Map_Omap__add @t8 @t47 @t1477 @t1476)) (tptp.c_Map_Omap__add @t8 @t47 @t1479 @t1476)))) % 6.51/6.70 (assume @p839 (forall @t199 (=> @t1461 (=> (= @t1386 @t1480) (= @t51 @t1407))))) % 6.51/6.70 (assume @p840 (forall @t1475 (=> @t1440 (= (tptp.hBOOL (tptp.hAPP @t359 @t1484)) @t1461)))) % 6.51/6.70 (assume @p841 (forall @t365 (=> @t1129 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t1407) @t1384)))) % 6.51/6.70 (assume @p842 (forall @t1130 (=> @t1129 (= (tptp.hAPP @t1457 (tptp.hAPP (tptp.hAPP @t1128 @t1485) @t2)) (tptp.hAPP @t1485 (tptp.hAPP (tptp.hAPP @t1126 @t1457) @t775)))))) % 6.51/6.70 (assume @p843 (forall @t1475 (= (= @t56 @t1390) @t1487))) % 6.51/6.70 (assume @p844 (forall @t1475 (= (= @t1390 @t56) @t1487))) % 6.51/6.70 (assume @p845 (forall @t1052 (and (=> @t1050 (= @t1490 @t1455)) (=> @t1051 (= @t1490 @t1489))))) % 6.51/6.70 (assume @p846 (forall @t1052 (and (=> @t1050 (= @t1494 @t1455)) (=> @t1051 (= @t1494 @t1492))))) % 6.51/6.70 (assume @p847 (forall @t1052 (and (=> @t1050 (= @t1497 @t1455)) (=> @t1051 (= @t1497 @t1495))))) % 6.51/6.70 (assume @p848 (forall @t1052 (and (=> @t1050 (= @t1495 (tptp.hAPP (tptp.hAPP @t577 @t1455) @t77))) (=> @t1051 (= @t1495 @t1497))))) % 6.51/6.70 (assume @p849 (forall @t365 (not (= @t1407 @t56)))) % 6.51/6.70 (assume @p850 (forall @t365 (=> @t402 @t1461))) % 6.51/6.70 (assume @p851 (forall @t199 (tptp.hBOOL (tptp.hAPP @t172 @t1407)))) % 6.51/6.70 (assume @p852 (forall @t300 (= (tptp.hAPP (tptp.hAPP @t193 @t1407) @t77) @t1407))) % 6.51/6.70 (assume @p853 (forall @t199 (= (tptp.hAPP @t194 @t1407) @t1407))) % 6.51/6.70 (assume @p854 (forall @t300 (= (tptp.hAPP (tptp.hAPP @t729 @t1407) @t77) @t77))) % 6.51/6.70 (assume @p855 (forall @t199 (= (tptp.hAPP @t730 @t1407) @t51))) % 6.51/6.70 (assume @p856 (forall @t1076 (= @t1418 (forall @t7 (=> @t317 @t1075))))) % 6.51/6.70 (assume @p857 (forall (@list @t77 @t13 @t225 @t8 @t47) (= @t1501 @t1500))) % 6.51/6.70 (assume @p858 (forall (@list @t77 @t225 @t47 @t13 @t8) (= @t1500 @t1501))) % 6.51/6.70 (assume @p859 (forall @t1115 (= (tptp.hBOOL (tptp.hAPP @t170 @t1503)) (forall @t7 (=> @t1086 (tptp.hBOOL (tptp.hAPP @t170 @t1084))))))) % 6.51/6.70 (assume @p860 (forall @t1097 (= (tptp.hAPP @t1416 @t1096) (tptp.hAPP (tptp.hAPP @t1504 @t1094) @t77)))) % 6.51/6.70 (assume @p861 (forall @t1092 (= (tptp.hAPP (tptp.hAPP @t1415 @t1091) @t77) (tptp.hAPP @t1505 @t1090)))) % 6.51/6.70 (assume @p862 (forall @t1123 (= (tptp.hAPP (tptp.hAPP @t193 @t1503) (tptp.hAPP @t1506 @t77)) (tptp.hAPP @t1502 (tptp.hAPP (tptp.hAPP @t1122 @t1506) (tptp.hAPP (tptp.hAPP @t1119 (tptp.hAPP @t1118 @t1099)) @t77)))))) % 6.51/6.70 (assume @p863 (forall @t1116 (= @t1508 @t1507))) % 6.51/6.70 (assume @p864 (forall @t1115 (= (tptp.hAPP @t208 @t1503) (tptp.hAPP @t1502 (tptp.hAPP (tptp.hAPP @t1107 @t208) @t51))))) % 6.51/6.70 (assume @p865 (forall @t1114 (= @t1510 @t1509))) % 6.51/6.70 (assume @p866 (forall @t1109 (= @t1507 @t1508))) % 6.51/6.70 (assume @p867 (forall @t1109 (= @t1509 @t1510))) % 6.51/6.70 (assume @p868 (forall @t1102 (= (tptp.hAPP @t1502 @t1511) (tptp.hAPP (tptp.hAPP @t729 @t1503) (tptp.hAPP @t1502 @t77))))) % 6.51/6.70 (assume @p869 (forall @t1072 (= (tptp.hAPP @t1416 (tptp.hAPP (tptp.hAPP @t1071 (tptp.hAPP (tptp.hAPP @t1070 @t1504) @t77)) @t225)) (tptp.hAPP (tptp.hAPP @t1504 @t1068) @t225)))) % 6.51/6.70 (assume @p870 (forall @t1066 (= (tptp.hAPP (tptp.hAPP @t1415 @t1065) @t225) (tptp.hAPP @t1505 (tptp.hAPP (tptp.hAPP @t1062 (tptp.hAPP (tptp.hAPP @t1061 @t1415) @t77)) @t225))))) % 6.51/6.70 (assume @p871 (forall @t199 (= (tptp.hAPP @t1389 @t1512) @t51))) % 6.51/6.70 (assume @p872 (forall @t1513 (= @t1429 @t1430))) % 6.51/6.70 (assume @p873 (forall @t1513 (=> @t1429 @t1430))) % 6.51/6.70 (assume @p874 (forall @t365 (= @t56 (tptp.hAPP @t1389 @t1514)))) % 6.51/6.70 (assume @p875 (forall @t1441 (= (tptp.hBOOL (tptp.hAPP @t359 @t1516)) (and @t1440 @t1439)))) % 6.51/6.70 (assume @p876 (forall @t1513 (= (tptp.hAPP @t89 @t1390) (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1517 (tptp.hAPP @t1482 @t522))) @t136))))) % 6.51/6.70 (assume @p877 (forall (@list @t690 @t692 @t337 @t8 @t47) (= (= @t1521 @t983) (and @t1520 (= @t1518 @t983))))) % 6.51/6.70 (assume @p878 (forall (@list @t337 @t47 @t1522 @t8 @t690 @t692) (=> (= @t1519 @t1523) (= @t1521 @t1523)))) % 6.51/6.70 (assume @p879 (forall @t1441 (= @t1516 (tptp.hAPP (tptp.hAPP @t193 @t1390) @t1438)))) % 6.51/6.70 (assume @p880 (forall @t1441 (= @t1437 (tptp.hAPP (tptp.hAPP @t729 @t1390) @t1438)))) % 6.51/6.70 (assume @p881 (forall @t1475 (= @t1484 @t1391))) % 6.51/6.70 (assume @p882 (forall (@list @t1 @t2 @t106 @t8 @t47) (= (tptp.hAPP (tptp.c_Set_Oimage @t47 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t106 @t8 @t47) @t2) @t1)) @t1455) (tptp.hAPP @t1525 (tptp.hAPP @t1524 @t1455))))) % 6.51/6.70 (assume @p883 (forall @t1052 (and (=> @t1050 (= @t1527 @t1455)) (=> @t1051 (= @t1527 @t1526))))) % 6.51/6.70 (assume @p884 (forall @t134 (=> @t1474 (tptp.hBOOL (tptp.hAPP @t159 @t1384))))) % 6.51/6.70 (assume @p885 (forall @t134 (=> @t1528 (= (tptp.hAPP @t406 @t1384) @t1384)))) % 6.51/6.70 (assume @p886 (forall @t134 (=> @t1528 (= (tptp.hAPP (tptp.hAPP @t389 @t1384) @t132) @t1384)))) % 6.51/6.70 (assume @p887 (forall @t134 (=> @t1528 (= (tptp.hAPP (tptp.hAPP @t745 @t1384) @t132) @t132)))) % 6.51/6.70 (assume @p888 (forall @t134 (=> @t1528 (= (tptp.hAPP @t746 @t1384) @t132)))) % 6.51/6.70 (assume @p889 (forall @t224 (=> @t1528 (= (= @t796 @t1384) (and (= @t61 @t1384) (= @t64 @t1384)))))) % 6.51/6.70 (assume @p890 (forall @t365 (= @t1467 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t687) @t983) (tptp.hAPP (tptp.c_Set_Oimage @t8 @t687 @t65) @t1407))))) % 6.51/6.70 (assume @p891 (forall @t1529 (= (tptp.c_Map_Omap__add @t8 @t47 @t337 @t996) @t337))) % 6.51/6.70 (assume @p892 (forall @t1529 (= (tptp.c_Map_Omap__add @t8 @t47 @t996 @t337) @t337))) % 6.51/6.70 (assume @p893 (forall (@list @t61 @t1477 @t1478 @t8 @t47) (= (tptp.hAPP (tptp.c_Map_Omap__add @t47 @t8 @t1478 @t1477) @t61) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t687 @t8 (tptp.hAPP @t1478 @t61) @t65) (tptp.hAPP @t1477 @t61))))) % 6.51/6.70 (assume @p894 (forall (@list @t1033 @t51 @t47 @t1137 @t8) (=> @t1129 (= (tptp.hBOOL (tptp.hAPP @t1530 (tptp.hAPP @t1457 @t1033))) (forall @t7 (=> @t317 (tptp.hBOOL (tptp.hAPP @t1530 @t1149)))))))) % 6.51/6.70 (assume @p895 (forall (@list @t13 @t2 @t51 @t47 @t8) (=> @t1150 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 (tptp.hAPP @t1457 @t2)) @t13)) (exists @t7 (and @t317 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t5) @t13)))))))) % 6.51/6.70 (assume @p896 (forall @t1139 (=> @t1138 (= (tptp.hAPP @t1409 @t1136) (tptp.hAPP @t82 @t1410))))) % 6.51/6.70 (assume @p897 (forall (@list @t47 @t8 @t61 @t2 @t109) (=> @t192 (tptp.hBOOL (tptp.hAPP @t188 @t1531))))) % 6.51/6.70 (assume @p898 (forall (@list @t47 @t61 @t2 @t8) (tptp.hBOOL (tptp.hAPP @t1532 @t1531)))) % 6.51/6.70 (assume @p899 (forall @t1140 (=> @t176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t1410) @t920))))) % 6.51/6.70 (assume @p900 (forall @t1144 (=> @t1143 (= (tptp.hAPP (tptp.hAPP @t855 @t1142) @t1423) @t1423)))) % 6.51/6.70 (assume @p901 (forall @t1041 (=> @t903 (=> @t58 (= (tptp.hAPP @t1400 @t1040) @t1033))))) % 6.51/6.70 (assume @p902 (forall @t1052 (and (=> @t1050 (= @t1489 @t51)) (=> @t1051 (= @t1489 @t1490))))) % 6.51/6.70 (assume @p903 (forall @t1052 (and (=> @t1050 (= @t1492 @t77)) (=> @t1051 (= @t1492 @t1494))))) % 6.51/6.70 (assume @p904 (forall @t1044 (= (tptp.hAPP (tptp.hAPP @t1415 @t1043) @t77) (tptp.hAPP (tptp.hAPP @t729 @t920) @t1417)))) % 6.51/6.70 (assume @p905 (forall @t199 (= (tptp.hAPP @t529 @t1407) @t56))) % 6.51/6.70 (assume @p906 (forall @t1104 (= (tptp.hAPP (tptp.hAPP @t1415 @t306) @t1033) (tptp.hAPP (tptp.hAPP @t729 (tptp.hAPP @t1416 @t1033)) (tptp.hAPP (tptp.hAPP @t1415 @t77) @t1033))))) % 6.51/6.70 (assume @p907 (forall @t1114 (= @t1534 @t1533))) % 6.51/6.70 (assume @p908 (forall @t1109 (= @t1533 @t1534))) % 6.51/6.70 (assume @p909 (forall @t311 (= @t302 (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1515 @t522)) @t1535))))) % 6.51/6.70 (assume @p910 (forall @t365 (= (tptp.hAPP @t1288 @t56) @t1407))) % 6.51/6.70 (assume @p911 (forall @t365 (= (tptp.hAPP @t1288 @t1407) @t56))) % 6.51/6.70 (assume @p912 (forall @t174 (= @t195 (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1515 @t1512)) @t1535))))) % 6.51/6.70 (assume @p913 (forall @t174 (= @t731 @t1538))) % 6.51/6.70 (assume @p914 (forall (@list @t136 @t51 @t61 @t8) (= (tptp.hBOOL (tptp.hAPP @t155 @t1392)) (and @t156 @t426)))) % 6.51/6.70 (assume @p915 (forall @t199 (=> @t363 (= (tptp.hBOOL (tptp.hAPP @t359 @t1298)) @t1461)))) % 6.51/6.70 (assume @p916 (forall @t14 (= (tptp.hAPP @t1389 @t1539) @t113))) % 6.51/6.70 (assume @p917 (forall @t14 (= @t1540 @t113))) % 6.51/6.70 (assume @p918 (forall @t1431 (and (=> @t1430 (= @t1541 @t113)) (=> @t1542 (= @t1541 @t56))))) % 6.51/6.70 (assume @p919 (forall @t1431 (and (=> @t1430 (= @t1543 @t113)) (=> @t1542 (= @t1543 @t56))))) % 6.51/6.70 (assume @p920 (forall @t174 (= @t539 (tptp.hAPP @t1389 (tptp.hAPP @t1537 (tptp.hAPP @t1482 @t1535)))))) % 6.51/6.70 (assume @p921 (forall @t1083 (= (tptp.hAPP @t1288 @t1417) (tptp.hAPP @t1030 @t1544)))) % 6.51/6.70 (assume @p922 (forall @t1083 (= (tptp.hAPP @t1288 @t1042) (tptp.hAPP @t1416 @t1544)))) % 6.51/6.70 (assume @p923 (forall @t199 (= (tptp.hAPP @t1376 @t51) @t1407))) % 6.51/6.70 (assume @p924 (forall @t199 (= (tptp.hAPP @t194 @t1298) @t1407))) % 6.51/6.70 (assume @p925 (forall @t311 (= @t302 (tptp.hAPP (tptp.hAPP @t193 @t1540) @t77)))) % 6.51/6.70 (assume @p926 (forall (@list @t692 @t2 @t8 @t51) (=> (= @t51 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t8 @t2) (tptp.hAPP @t1426 (tptp.hAPP @t1425 @t692)))) @t363))) % 6.51/6.70 (assume @p927 (forall @t199 (= @t1298 (tptp.hAPP (tptp.hAPP @t528 @t1407) @t51)))) % 6.51/6.70 (assume @p928 (forall @t199 (= @t1298 (tptp.hAPP @t1389 (tptp.hAPP @t1482 @t1512))))) % 6.51/6.70 (assume @p929 (forall @t1441 (= (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1517 @t136)) @t135)) (tptp.hAPP (tptp.hAPP @t193 @t1391) @t1438)))) % 6.51/6.70 (assume @p930 (forall @t904 (=> @t903 (=> @t363 (= @t1401 (tptp.hAPP (tptp.hAPP @t1398 (tptp.c_Orderings_Otop__class_Otop @t47)) @t51)))))) % 6.51/6.70 (assume @p931 (forall @t1529 (= @t786 (tptp.hAPP @t1389 (tptp.hAPP @t1482 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t693 tptp.tc_HOL_Obool) (tptp.hAPP @t1546 @t337)) @t905)))))) % 6.51/6.70 (assume @p932 (forall @t1552 (=> @t1551 @t1550))) % 6.51/6.70 (assume @p933 (forall @t1552 (=> (not @t1551) (= @t1549 (tptp.hAPP @t1548 @t337))))) % 6.51/6.70 (assume @p934 (forall (@list @t1547 @t1548 @t47 @t337 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t1406 (tptp.c_Map_Odom @t8 @t47 @t1548)))) @t1550))) % 6.51/6.70 (assume @p935 (forall @t1453 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1553 @t1452) @t61)) (tptp.hBOOL (tptp.hAPP @t190 (tptp.hAPP @t1553 @t1449)))))) % 6.51/6.70 (assume @p936 (forall (@list @t2 @t106 @t1 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP @t359 (tptp.hAPP @t1554 @t1455))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t106) (tptp.hAPP (tptp.c_Set_Oimage @t47 @t106 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t106 @t47) @t2) @t1)) @t1455)))))) % 6.51/6.70 (assume @p937 (forall @t1557 (=> @t1556 @t1555))) % 6.51/6.70 (assume @p938 (forall @t1557 (= @t1556 @t1555))) % 6.51/6.70 (assume @p939 (forall (@list @t692 @t337 @t47 @t8) (= (tptp.c_Map_Odom @t8 @t47 (tptp.c_Map_Omap__add @t8 @t47 @t337 @t692)) (tptp.hAPP (tptp.hAPP @t193 (tptp.c_Map_Odom @t8 @t47 @t692)) @t786)))) % 6.51/6.70 (assume @p940 (forall (@list @t64 @t61 @t1 @t2 @t47 @t8) (= (tptp.c_Map_Omap__add @t8 @t47 @t2 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 @t1) @t61) @t691)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 (tptp.c_Map_Omap__add @t8 @t47 @t2 @t1)) @t61) @t691)))) % 6.51/6.70 (assume @p941 (forall @t999 (= (tptp.c_Map_Odom @t8 @t47 @t1558) @t1407))) % 6.51/6.70 (assume @p942 (forall @t336 (=> @t363 (tptp.hBOOL (tptp.hAPP @t1560 @t1559))))) % 6.51/6.70 (assume @p943 (forall @t200 (=> @t452 (=> @t173 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1561) @t1386)) @t168))))) % 6.51/6.70 (assume @p944 (forall @t200 (=> @t452 (=> @t173 (tptp.hBOOL (tptp.hAPP @t1560 @t1561)))))) % 6.51/6.70 (assume @p945 (forall @t718 (=> @t363 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1563) @t1386))))) % 6.51/6.70 (assume @p946 (forall @t881 (=> @t903 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t201 (tptp.hAPP (tptp.hAPP @t1399 @t77) @t2)) @t1401)))))) % 6.51/6.70 (assume @p947 (forall @t200 (=> @t452 (=> @t615 @t1564)))) % 6.51/6.70 (assume @p948 (forall @t365 (=> @t1320 (= (tptp.hAPP @t1312 @t1384) @t73)))) % 6.51/6.70 (assume @p949 (forall @t365 (=> @t1320 (= (tptp.hAPP @t1312 @t73) @t1384)))) % 6.51/6.70 (assume @p950 (forall @t1052 (and (=> @t1050 (= @t1526 @t51)) (=> @t1051 (= @t1526 @t1527))))) % 6.51/6.70 (assume @p951 (forall @t134 (=> @t1320 (= (tptp.hAPP @t1371 @t132) @t1384)))) % 6.51/6.70 (assume @p952 (forall @t134 (=> @t1320 (= (tptp.hAPP @t406 @t1321) @t1384)))) % 6.51/6.70 (assume @p953 (forall (@list @t392 @t1 @t2 @t136 @t8 @t47) (= (tptp.hAPP (tptp.c_Set_Oimage @t47 @t8 (tptp.hAPP (tptp.hAPP @t840 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t47 @t8 @t769) (tptp.hAPP @t1572 @t136)) @t2)) @t1)) @t392) (tptp.hAPP (tptp.hAPP @t193 (tptp.hAPP @t78 (tptp.hAPP @t1568 @t1569))) (tptp.hAPP @t1554 (tptp.hAPP @t1568 (tptp.hAPP @t1567 (tptp.hAPP @t1566 @t136)))))))) % 6.51/6.70 (assume @p954 (forall @t965 (=> @t1575 (= (tptp.hAPP @t933 @t1574) (tptp.hAPP @t1573 @t962))))) % 6.51/6.70 (assume @p955 (forall @t262 (=> @t1575 (= @t934 (tptp.hAPP @t1573 @t38))))) % 6.51/6.70 (assume @p956 (forall @t262 (=> @t1575 @t935))) % 6.51/6.70 (assume @p957 (forall @t1577 (=> @t1575 (= @t1576 (tptp.hAPP @t1573 @t446))))) % 6.51/6.70 (assume @p958 (forall @t1577 (=> @t1575 (= @t1576 (tptp.hAPP @t948 (tptp.hAPP @t931 @t446)))))) % 6.51/6.70 (assume @p959 (forall (@list @t254 @t255 @t8) (=> @t1575 (= @t946 @t949)))) % 6.51/6.70 (assume @p960 (forall @t88 (=> @t1580 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t1288 @t85)) (tptp.hAPP @t78 @t1579)))))) % 6.51/6.70 (assume @p961 (forall (@list @t1 @t2 @t136 @t47 @t8) (= (tptp.c_Map_Odom @t8 @t47 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t693 @t693) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t693 @t1582) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t693 @t1582) @t8) (tptp.c_If @t693)) @t136)) @t2)) @t1)) (tptp.hAPP (tptp.hAPP @t193 (tptp.hAPP (tptp.hAPP @t729 @t998) @t1390)) (tptp.hAPP (tptp.hAPP @t729 @t1581) @t1484))))) % 6.51/6.70 (assume @p962 (forall @t1038 (=> @t903 (=> @t1037 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t201 (tptp.hAPP @t1400 @t1033)) @t1035)))))) % 6.51/6.70 (assume @p963 (forall (@list @t1477 @t1478 @t47 @t8) (=> (= (tptp.hAPP (tptp.hAPP @t729 (tptp.c_Map_Odom @t8 @t47 @t1478)) (tptp.c_Map_Odom @t8 @t47 @t1477)) @t56) (= @t1479 (tptp.c_Map_Omap__add @t8 @t47 @t1477 @t1478))))) % 6.51/6.70 (assume @p964 (forall @t174 (=> @t363 (=> @t452 (= @t1587 @t1584))))) % 6.51/6.70 (assume @p965 (forall @t174 (=> @t363 (=> @t452 (= @t1584 @t1587))))) % 6.51/6.70 (assume @p966 (forall @t1589 (=> @t1588 (tptp.hBOOL (tptp.hAPP @t1468 (tptp.hAPP (tptp.c_Set_Oimage @t47 @t687 (tptp.hAPP (tptp.hAPP @t1023 @t13) @t339)) @t1455)))))) % 6.51/6.70 (assume @p967 (forall @t200 (=> @t452 (=> @t171 (= @t1592 @t1591))))) % 6.51/6.70 (assume @p968 (forall @t174 (=> (tptp.hBOOL (tptp.hAPP @t359 @t731)) (= @t1592 (tptp.hAPP @t1590 @t1585))))) % 6.51/6.70 (assume @p969 (forall @t200 (=> @t452 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1591) @t1592))))) % 6.51/6.70 (assume @p970 (forall @t200 (=> @t452 (=> @t173 (=> @t1564 @t615))))) % 6.51/6.70 (assume @p971 (forall @t174 (=> @t363 (=> @t452 (=> @t732 @t1593))))) % 6.51/6.70 (assume @p972 (forall @t336 (=> @t363 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1388) @t1386))))) % 6.51/6.70 (assume @p973 (forall (@list @t2 @t106 @t1 @t392 @t8 @t47) (=> @t910 (=> @t1596 (= (tptp.hAPP @t907 @t392) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t106 @t47) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t47 @t106) @t907) (tptp.hAPP (tptp.hAPP @t1117 @t1389) (tptp.hAPP (tptp.hAPP @t1117 @t1595) (tptp.hAPP (tptp.c_COMBC @t8 @t106 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t106 @t778 @t8) tptp.c_fequal) @t2)))))) (tptp.hAPP @t1594 @t392))))))) % 6.51/6.70 (assume @p974 (forall (@list @t393 @t2 @t1597 @t47 @t392 @t8 @t106) (=> @t1614 (=> @t1596 (=> @t1613 (= (tptp.hAPP (tptp.hAPP @t1601 (tptp.hAPP @t1612 @t1607)) @t392) (tptp.hAPP (tptp.hAPP @t1602 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t47 @t55 @t106) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t8 @t106) (tptp.tc_fun @t55 @t106) @t47) @t1601) (tptp.hAPP (tptp.c_COMBC @t8 @t47 @t106) @t2))) (tptp.hAPP @t1600 (tptp.hAPP (tptp.hAPP @t1107 @t1595) @t1599)))) @t1597))))))) % 6.51/6.70 (assume @p975 (forall @t842 (= (tptp.c_Map_Odom @t8 @t47 (tptp.c_Fun_Ooverride__on @t8 @t693 @t2 @t1 @t51)) (tptp.hAPP (tptp.hAPP @t193 (tptp.hAPP (tptp.hAPP @t528 @t998) (tptp.hAPP @t1389 (tptp.hAPP @t394 (tptp.hAPP @t529 @t1581))))) (tptp.hAPP @t1389 (tptp.hAPP @t394 (tptp.hAPP @t730 @t1581))))))) % 6.51/6.70 (assume @p976 (forall @t336 (=> @t363 (and @t1616 (=> @t299 (= @t1388 @t1386)))))) % 6.51/6.70 (assume @p977 (forall @t336 (=> @t363 @t1616))) % 6.51/6.70 (assume @p978 (forall @t199 (=> @t1339 (=> (forall (@list @t1617) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1295 @t1617) @t51)) (tptp.hBOOL (tptp.hAPP @t359 @t1617)))) @t1341)))) % 6.51/6.70 (assume @p979 (forall @t336 (=> @t363 (=> @t156 (= @t1386 @t1619))))) % 6.51/6.70 (assume @p980 (forall (@list @t123 @t61 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t1621 @t123))) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1374 @t1620)) (forall @t817 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1295 @t813) @t1620)) (=> @t815 (= (tptp.hAPP @t1373 @t813) @t56)))))) (= (tptp.hAPP (tptp.hAPP @t729 @t61) (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t123)) @t56))))) % 6.51/6.70 (assume @p981 (forall @t130 (tptp.hBOOL (tptp.hAPP @t1407 @t61)))) % 6.51/6.70 (assume @p982 (forall @t1083 (= (= @t1407 @t1417) @t1622))) % 6.51/6.70 (assume @p983 (forall @t1078 (= (= @t1417 @t1407) @t1622))) % 6.51/6.70 (assume @p984 (not (tptp.hBOOL (tptp.hAPP @t1427 @t1624)))) % 6.51/6.70 (assume @p985 (= (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))) @t1615)) % 6.51/6.70 (assume @p986 (forall @t1059 (= @t1411 (forall @t7 (=> @t234 @t1058))))) % 6.51/6.70 (assume @p987 (forall @t1074 (= @t1421 (forall @t7 (=> @t234 @t1073))))) % 6.51/6.70 (assume @p988 (forall @t130 (=> (tptp.class_Groups_Oone @t8) (= (= @t1625 @t61) @t1626)))) % 6.51/6.70 (assume @p989 (forall @t199 (= @t1386 (tptp.hAPP (tptp.hAPP @t860 @t1627) @t51)))) % 6.51/6.70 (assume @p990 (forall @t1630 @t1629)) % 6.51/6.70 (assume @p991 (forall @t1630 @t1632)) % 6.51/6.70 (assume @p992 (forall @t773 (= (tptp.c_Fun_Ooverride__on @t8 @t47 @t2 @t1 @t56) @t2))) % 6.51/6.70 (assume @p993 (forall @t1639 (= @t1638 (exists @t1637 (forall @t7 (=> @t1636 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t3) @t1633)))))))) % 6.51/6.70 (assume @p994 (forall @t1639 (= @t1638 (exists @t1637 (forall @t7 (=> @t1636 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t3) @t1633)))))))) % 6.51/6.70 (assume @p995 (forall @t1630 (and @t1632 @t1629))) % 6.51/6.70 (assume @p996 (forall @t1643 (tptp.hBOOL (tptp.hAPP @t1427 (tptp.hAPP @t1426 (tptp.hAPP (tptp.hAPP @t1642 (tptp.hAPP @t1641 @t136)) @t1640)))))) % 6.51/6.70 (assume @p997 (forall @t336 (=> @t363 (=> @t299 (= @t1559 (tptp.hAPP @t1618 @t1386)))))) % 6.51/6.70 (assume @p998 (forall @t303 (=> @t363 (=> @t176 (=> @t184 (= (tptp.hAPP @t1385 @t586) (tptp.hAPP (tptp.hAPP @t864 @t1592) @t1615))))))) % 6.51/6.70 (assume @p999 (forall @t336 (=> @t363 (= @t1559 @t1619)))) % 6.51/6.70 (assume @p1000 (forall @t405 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t644 @t1644))))) % 6.51/6.70 (assume @p1001 (forall @t1648 (= (tptp.hBOOL (tptp.hAPP @t1036 (tptp.c_SetInterval_Oord_OatMost @t8 @t1646 @t690))) (tptp.hBOOL (tptp.hAPP @t1647 @t690))))) % 6.51/6.70 (assume @p1002 (forall @t1648 (= (tptp.hBOOL (tptp.hAPP @t1036 (tptp.c_SetInterval_Oord_OatLeast @t8 @t1646 @t690))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1646 @t690) @t1034))))) % 6.51/6.70 (assume @p1003 (forall @t1651 (= (tptp.hBOOL (tptp.hAPP @t1036 (tptp.c_SetInterval_Oord_OlessThan @t8 @t1649 @t690))) (tptp.hBOOL (tptp.hAPP @t1650 @t690))))) % 6.51/6.70 (assume @p1004 (forall @t1651 (= (tptp.hBOOL (tptp.hAPP @t1036 (tptp.c_SetInterval_Oord_OgreaterThan @t8 @t1649 @t690))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1649 @t690) @t1034))))) % 6.51/6.70 (assume @p1005 (forall (@list @t1137 @t1653 @t1646 @t1034 @t8) (= (tptp.hBOOL (tptp.hAPP @t1036 (tptp.c_SetInterval_Oord_OatLeastAtMost @t8 @t1646 @t1653 @t1137))) (and @t1654 @t1652)))) % 6.51/6.70 (assume @p1006 (forall (@list @t1137 @t1653 @t1649 @t1034 @t8) (= (tptp.hBOOL (tptp.hAPP @t1036 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t8 @t1649 @t1653 @t1137))) (and @t1656 @t1655)))) % 6.51/6.70 (assume @p1007 (forall @t1657 (= (tptp.hBOOL (tptp.hAPP @t1036 (tptp.c_SetInterval_Oord_OatLeastLessThan @t8 @t1646 @t1649 @t1653 @t1137))) (and @t1654 @t1655)))) % 6.51/6.70 (assume @p1008 (forall @t215 (=> @t1658 @t641))) % 6.51/6.70 (assume @p1009 (forall @t1657 (= (tptp.hBOOL (tptp.hAPP @t1036 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t8 @t1646 @t1649 @t1653 @t1137))) (and @t1656 @t1652)))) % 6.51/6.70 (assume @p1010 (forall (@list @t690 @t393 @t32 @t47 @t1660 @t8) (=> @t1663 (=> (tptp.hBOOL (tptp.hAPP @t358 @t32)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t316 @t32)) (= (tptp.hAPP @t1385 (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1433 (tptp.hAPP @t394 @t1660))) @t1662))) (tptp.hAPP @t690 @t3)))) (= (tptp.hAPP (tptp.hAPP @t860 (tptp.hAPP @t1661 (tptp.hAPP @t1606 (tptp.hAPP (tptp.hAPP @t1048 (tptp.hAPP @t1605 (tptp.hAPP @t1604 (tptp.hAPP @t1451 @t32)))) @t393)))) @t1660) (tptp.hAPP (tptp.hAPP @t1659 @t690) @t32))))))) % 6.51/6.70 (assume @p1011 (forall @t174 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1344 @t1664) (tptp.c_Predicate_OPowp @t8 @t77)))))) % 6.51/6.70 (assume @p1012 (forall @t336 (=> @t808 (=> @t363 (=> @t58 (= (tptp.hAPP @t795 @t625) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 (tptp.hAPP @t1389 (tptp.hAPP @t1672 (tptp.hAPP (tptp.hAPP @t491 (tptp.hAPP @t1670 (tptp.hAPP @t1669 (tptp.hAPP @t1667 @t795)))) @t1512)))))))))) % 6.51/6.70 (assume @p1013 (forall @t174 (=> @t808 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (= (tptp.hAPP (tptp.hAPP @t745 @t625) @t703) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 (tptp.hAPP @t1389 (tptp.hAPP @t1672 (tptp.hAPP @t1684 (tptp.hAPP (tptp.hAPP @t1683 (tptp.hAPP @t1682 (tptp.hAPP @t1681 (tptp.hAPP @t1679 (tptp.hAPP @t1677 @t745))))) @t1675))))))))))))) % 6.51/6.70 (assume @p1014 (forall @t336 (=> @t808 (=> @t363 (=> @t58 (= (tptp.hAPP @t430 @t896) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 (tptp.hAPP @t1389 (tptp.hAPP @t1672 (tptp.hAPP (tptp.hAPP @t491 (tptp.hAPP @t1670 (tptp.hAPP @t1669 (tptp.hAPP @t1667 @t430)))) @t1512)))))))))) % 6.51/6.70 (assume @p1015 (forall @t1689 (=> @t1440 (tptp.hBOOL (tptp.hAPP @t358 (tptp.hAPP @t1567 (tptp.hAPP @t1688 (tptp.hAPP (tptp.hAPP @t1028 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1668 @t611 @t47) @t1435) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t1668 @t47) @t1433) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t203 @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t48 @t1686 @t47) @t1685) tptp.c_fequal)) @t2)))) @t136)))))))) % 6.51/6.70 (assume @p1016 (forall (@list @t135 @t47 @t136 @t8) (=> @t1440 (= (tptp.hBOOL (tptp.hAPP @t358 (tptp.hAPP @t1567 (tptp.hAPP @t1688 (tptp.hAPP (tptp.hAPP @t1107 @t1436) @t135))))) (forall @t44 (=> @t1692 (tptp.hBOOL (tptp.hAPP @t358 (tptp.hAPP @t1567 (tptp.hAPP (tptp.hAPP @t1690 @t135) @t42)))))))))) % 6.51/6.70 (assume @p1017 (forall (@list @t337 @t8 @t47) (= @t1039 (tptp.hAPP @t1389 (tptp.hAPP @t1696 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t687 @t48 @t8) (tptp.hAPP @t1694 (tptp.hAPP @t1693 @t337))) @t65)))))) % 6.51/6.70 (assume @p1018 (forall @t174 (=> @t808 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (= (tptp.hAPP (tptp.hAPP @t389 @t896) @t1016) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 (tptp.hAPP @t1389 (tptp.hAPP @t1672 (tptp.hAPP @t1684 (tptp.hAPP (tptp.hAPP @t1683 (tptp.hAPP @t1682 (tptp.hAPP @t1681 (tptp.hAPP @t1679 (tptp.hAPP @t1677 @t389))))) @t1675))))))))))))) % 6.51/6.70 (assume @p1019 (forall @t1701 (=> @t1700 (=> @t509 (=> @t508 (= (tptp.hAPP @t1697 @t1699) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1698))))))) % 6.51/6.70 (assume @p1020 (forall @t1701 (=> @t1700 (=> @t509 (=> @t508 (= (tptp.hAPP @t1697 @t1702) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1698))))))) % 6.51/6.70 (assume @p1021 (forall @t224 (= (tptp.c_Smallcheck_Oorelse @t8 @t61 @t64) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t687 @t8 @t64 @t65) @t61)))) % 6.51/6.70 (assume @p1022 (forall @t1013 (=> @t1712 (=> @t363 (=> @t452 (=> @t732 (= @t1711 @t1710))))))) % 6.51/6.70 (assume @p1023 (forall (@list @t690 @t1 @t2 @t106 @t8 @t47) (= (tptp.c_Map_Omap__comp @t47 @t8 @t106 @t2 @t1 @t690) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t687 @t47 @t983 @t2) (tptp.hAPP @t1 @t690))))) % 6.51/6.70 (assume @p1024 (forall @t336 (=> @t363 (=> @t156 (= @t1713 @t1386))))) % 6.51/6.70 (assume @p1025 (forall @t199 (= @t363 (exists (@list @t1714 @t1715) (= @t51 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t8 @t1715) (tptp.hAPP @t1426 (tptp.hAPP @t1425 @t1714)))))))) % 6.51/6.70 (assume @p1026 (forall @t1216 (tptp.hBOOL (tptp.hAPP @t1307 @t1716)))) % 6.51/6.70 (assume @p1027 (forall @t1156 (=> @t1201 @t1719))) % 6.51/6.70 (assume @p1028 (forall @t1225 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1724) @t1723)) @t1205))) % 6.51/6.70 (assume @p1029 (forall @t405 (=> @t1728 (= @t1727 @t255)))) % 6.51/6.70 (assume @p1030 (forall @t134 (=> @t1728 (= @t1730 @t132)))) % 6.51/6.70 (assume @p1031 (forall @t410 (=> @t1728 (= (tptp.hAPP @t1726 @t1731) @t1731)))) % 6.51/6.70 (assume @p1032 (forall @t262 (=> @t1734 (= (tptp.hAPP (tptp.hAPP @t1725 @t1731) @t254) (tptp.hAPP @t1726 @t1733))))) % 6.51/6.70 (assume @p1033 (forall @t1216 (not (= @t1153 @t1716)))) % 6.51/6.70 (assume @p1034 (forall @t1216 (not (= @t1716 @t1153)))) % 6.51/6.70 (assume @p1035 (forall (@list @t1735 @t1736) (= (= @t1737 (tptp.hAPP tptp.c_Nat_OSuc @t1735)) (= @t1736 @t1735)))) % 6.51/6.70 (assume @p1036 (forall @t1225 (= (= @t1724 @t1723) @t1203))) % 6.51/6.70 (assume @p1037 (forall @t1311 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t132) (tptp.hAPP tptp.c_Nat_OSuc @t210)) @t244))) % 6.51/6.70 (assume @p1038 (forall @t1156 (= (tptp.hAPP @t1738 @t1716) (tptp.hAPP @t1154 @t1739)))) % 6.51/6.70 (assume @p1039 (forall @t1156 (= (tptp.hAPP (tptp.hAPP @t1721 @t1717) @t1153) (tptp.hAPP @t1157 @t1739)))) % 6.51/6.70 (assume @p1040 (forall @t1225 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1724) @t1723)) @t1208))) % 6.51/6.70 (assume @p1041 (forall @t410 (=> @t1575 (= @t1731 @t1740)))) % 6.51/6.70 (assume @p1042 (forall @t1748 (=> @t1575 (= @t1747 (tptp.hAPP @t1745 (tptp.hAPP @t1743 @t1741)))))) % 6.51/6.70 (assume @p1043 (forall @t1748 (=> @t1575 (= @t1747 (tptp.hAPP @t1749 @t1741))))) % 6.51/6.70 (assume @p1044 (forall @t1754 (=> @t1575 (= @t1753 (tptp.hAPP @t1743 (tptp.hAPP @t1751 @t1744)))))) % 6.51/6.70 (assume @p1045 (forall @t1754 (=> @t1575 (= @t1753 (tptp.hAPP @t1749 @t1750))))) % 6.51/6.70 (assume @p1046 (forall @t1756 (=> @t1575 (= @t1755 (tptp.hAPP @t1743 (tptp.hAPP @t1751 @t1746)))))) % 6.51/6.70 (assume @p1047 (forall @t1756 (=> @t1575 (= @t1755 (tptp.hAPP @t1745 (tptp.hAPP @t1752 @t1741)))))) % 6.51/6.70 (assume @p1048 (forall @t1756 (=> @t1575 (= @t1755 (tptp.hAPP @t1749 (tptp.hAPP @t1751 @t1741)))))) % 6.51/6.70 (assume @p1049 (forall @t262 (=> (tptp.class_Rings_Ocomm__semiring @t8) @t1759))) % 6.51/6.70 (assume @p1050 (forall (@list @t254 @t38 @t1760 @t255 @t8) (=> (tptp.class_Rings_Osemiring @t8) (= (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t1726 @t1760)) (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t1732 @t1760)) @t254)) (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t1758 @t1760)) @t254))))) % 6.51/6.70 (assume @p1051 (forall @t275 (=> @t1575 (= (tptp.hAPP @t1729 @t1764) (tptp.hAPP (tptp.hAPP @t928 @t1762) @t1761))))) % 6.51/6.70 (assume @p1052 (forall @t122 (=> @t1769 (= (and @t177 (not @t707)) (not (= (tptp.hAPP (tptp.hAPP @t928 @t1768) (tptp.hAPP @t1765 @t116)) (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t1767 @t116)) @t1766))))))) % 6.51/6.70 (assume @p1053 (forall @t262 (=> @t1575 @t1759))) % 6.51/6.70 (assume @p1054 (forall (@list @t38 @t1152 @t255 @t8) (=> @t1575 (= (tptp.hAPP @t1771 (tptp.hAPP @t1732 @t1152)) (tptp.hAPP @t1758 @t1152))))) % 6.51/6.70 (assume @p1055 (forall (@list @t315 @t61 @t64 @t1773 @t8) (=> @t1769 (= (= (tptp.hAPP (tptp.hAPP @t928 @t1777) @t1776) (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t1775 @t315)) (tptp.hAPP @t1774 @t64))) (or (= @t1773 @t61) @t1772))))) % 6.51/6.70 (assume @p1056 (forall @t1209 (= (not @t1205) @t1779))) % 6.51/6.70 (assume @p1057 (forall @t1209 (= @t1781 @t1206))) % 6.51/6.70 (assume @p1058 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1778) @t1780)) @t1205))) % 6.51/6.70 (assume @p1059 (forall @t1785 (=> @t1784 @t1783))) % 6.51/6.70 (assume @p1060 (forall @t1160 (=> (not @t1308) (=> (tptp.hBOOL (tptp.hAPP @t1307 @t1717)) @t1198)))) % 6.51/6.70 (assume @p1061 (forall @t1156 (=> @t1201 @t1786))) % 6.51/6.70 (assume @p1062 (forall @t1156 (=> @t1201 (=> (not (= @t1717 @t1153)) @t1787)))) % 6.51/6.70 (assume @p1063 (forall @t1169 (=> @t1249 (=> @t1254 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1788) @t1161)))))) % 6.51/6.70 (assume @p1064 (forall @t1156 (=> @t1786 (=> @t1273 @t1198)))) % 6.51/6.70 (assume @p1065 (forall @t1156 (=> @t1787 @t1201))) % 6.51/6.70 (assume @p1066 (forall @t1156 (=> @t1719 @t1201))) % 6.51/6.70 (assume @p1067 (forall @t405 (=> @t1790 @t1789))) % 6.51/6.70 (assume @p1068 (forall @t405 (=> @t1791 @t1789))) % 6.51/6.70 (assume @p1069 (forall @t405 (=> @t1790 @t1792))) % 6.51/6.70 (assume @p1070 (forall @t405 (=> @t1791 @t1792))) % 6.51/6.70 (assume @p1071 (forall @t405 (=> @t1575 @t1789))) % 6.51/6.70 (assume @p1072 (forall @t405 (=> @t1575 @t1792))) % 6.51/6.70 (assume @p1073 (forall @t1156 (= @t1794 @t1793))) % 6.51/6.70 (assume @p1074 (forall @t1156 (= @t1795 @t1793))) % 6.51/6.70 (assume @p1075 (forall @t1156 (= @t1795 @t1794))) % 6.51/6.70 (assume @p1076 (forall @t114 (=> (tptp.class_Rings_Oidom @t8) (= (= (tptp.hAPP @t1767 @t13) (tptp.hAPP @t1765 @t109)) (or @t110 @t1315))))) % 6.51/6.70 (assume @p1077 (forall @t410 (=> @t1797 (= (tptp.hAPP @t1796 @t1327) @t1731)))) % 6.51/6.70 (assume @p1078 (forall @t410 (=> @t1797 (= @t1799 @t1798)))) % 6.51/6.70 (assume @p1079 (forall @t410 (=> @t1797 (= @t1800 @t1799)))) % 6.51/6.70 (assume @p1080 (forall @t410 (=> @t1797 (= @t1800 @t1798)))) % 6.51/6.70 (assume @p1081 (forall @t1156 (=> @t1801 @t1197))) % 6.51/6.70 (assume @p1082 (forall @t1156 (=> @t1802 (=> (not @t1197) (= @t1152 @t1716))))) % 6.51/6.70 (assume @p1083 (forall @t1156 (=> @t1197 @t1802))) % 6.51/6.70 (assume @p1084 (forall @t1785 (= (tptp.hBOOL (tptp.hAPP @t1805 @t1778)) @t1804))) % 6.51/6.70 (assume @p1085 (forall @t1209 (= @t1806 (or @t1208 (= @t337 @t1780))))) % 6.51/6.70 (assume @p1086 (forall @t1209 (= @t1808 @t1807))) % 6.51/6.70 (assume @p1087 (forall @t1216 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1716) @t1153))))) % 6.51/6.70 (assume @p1088 (forall @t1221 (= (tptp.hAPP (tptp.hAPP @t864 @t1810) (tptp.hAPP tptp.c_Nat_OSuc @t1161)) (tptp.hAPP (tptp.hAPP @t864 @t1171) @t1161)))) % 6.51/6.70 (assume @p1089 (forall @t1156 (= (tptp.hAPP @t1809 @t1716) @t1171))) % 6.51/6.70 (assume @p1090 (forall @t1175 (= (tptp.hAPP @t1811 @t1155) (tptp.hAPP (tptp.hAPP @t1000 @t1813) @t1812)))) % 6.51/6.70 (assume @p1091 (forall @t1221 (= (tptp.hAPP (tptp.hAPP @t1721 @t1155) @t1161) (tptp.hAPP (tptp.hAPP @t1000 @t1816) @t1815)))) % 6.51/6.70 (assume @p1092 (forall @t1241 (=> @t1215 (=> @t1240 (tptp.hBOOL (tptp.hAPP @t1820 (tptp.hAPP @t1817 @t1238))))))) % 6.51/6.70 (assume @p1093 (forall @t1169 (=> @t1215 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1822) @t1821))))) % 6.51/6.70 (assume @p1094 (forall @t1169 (=> @t1215 (tptp.hBOOL (tptp.hAPP @t1820 @t1823))))) % 6.51/6.70 (assume @p1095 (forall @t1825 (tptp.hBOOL (tptp.hAPP @t1194 (tptp.hAPP @t1738 @t1824))))) % 6.51/6.70 (assume @p1096 (forall @t1825 (tptp.hBOOL (tptp.hAPP @t1194 @t1824)))) % 6.51/6.70 (assume @p1097 (forall @t1221 (= (tptp.hAPP (tptp.hAPP @t1721 @t1171) @t1161) (tptp.hAPP (tptp.hAPP @t864 @t1816) @t1815)))) % 6.51/6.70 (assume @p1098 (forall @t1175 (= (tptp.hAPP @t1811 @t1171) (tptp.hAPP (tptp.hAPP @t864 @t1813) @t1812)))) % 6.51/6.70 (assume @p1099 (forall @t1216 (= (tptp.hAPP (tptp.hAPP @t1721 @t1615) @t1153) @t1153))) % 6.51/6.70 (assume @p1100 (forall @t1209 (= (= @t1615 @t1828) @t1826))) % 6.51/6.70 (assume @p1101 (forall @t1216 (= (tptp.hAPP @t1814 @t1615) @t1153))) % 6.51/6.70 (assume @p1102 (forall @t1209 (= (= @t1828 @t1615) @t1826))) % 6.51/6.70 (assume @p1103 (forall @t365 (=> @t1734 (tptp.c_Finite__Set_Ofun__left__comm @t8 @t8 @t1725)))) % 6.51/6.70 (assume @p1104 (forall @t365 (=> @t1728 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t1725)))) % 6.51/6.70 (assume @p1105 (forall (@list @t51 @t2 @t47 @t1449 @t8) (=> @t1830 (= (tptp.hAPP @t1829 @t839) (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP (tptp.hAPP @t1351 @t1829) @t2)) @t51))))) % 6.51/6.70 (assume @p1106 (forall @t1835 (=> @t1830 (= (tptp.hAPP @t1834 @t1449) (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP @t1833 @t1449)) @t51))))) % 6.51/6.70 (assume @p1107 (forall (@list @t77 @t1 @t106 @t51 @t2 @t47 @t8) (=> @t1830 (= (tptp.hAPP @t1834 (tptp.hAPP (tptp.hAPP @t777 @t1) @t77)) (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP (tptp.hAPP @t782 (tptp.hAPP @t781 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t779 @t779) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t769 (tptp.tc_fun @t779 @t779) @t47) (tptp.c_COMBB @t8 @t8 @t106)) @t1831)) @t1))) @t77)) @t51))))) % 6.51/6.70 (assume @p1108 (forall @t1837 (=> @t1645 (=> (tptp.hBOOL (tptp.hAPP @t1836 @t1152)) (=> (tptp.hBOOL (tptp.hAPP @t1836 @t1153)) (tptp.hBOOL (tptp.hAPP @t1836 (tptp.hAPP (tptp.hAPP @t1725 @t1152) @t1153)))))))) % 6.51/6.70 (assume @p1109 (forall @t1843 (=> @t1797 (= @t1842 (= @t1839 @t116))))) % 6.51/6.70 (assume @p1110 (forall @t1843 (=> @t1797 (= @t1842 (= @t18 @t1844))))) % 6.51/6.70 (assume @p1111 (forall @t1849 (=> @t1575 (= (tptp.hAPP @t1848 @t1152) (tptp.hAPP @t1847 @t1152))))) % 6.51/6.70 (assume @p1112 (forall (@list @t255 @t1152 @t8) (=> @t1575 (= (tptp.hAPP @t1848 @t1770) @t1850)))) % 6.51/6.70 (assume @p1113 (forall (@list @t1152 @t255 @t8) (=> @t1575 (= (tptp.hAPP @t1771 @t1152) @t1850)))) % 6.51/6.70 (assume @p1114 (forall @t1852 (tptp.hBOOL (tptp.hAPP @t1248 (tptp.hAPP tptp.c_Nat_OSuc @t1851))))) % 6.51/6.70 (assume @p1115 (forall @t1852 (tptp.hBOOL (tptp.hAPP @t1248 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1154 @t1165)))))) % 6.51/6.70 (assume @p1116 (forall @t1209 (= @t1205 (exists @t1233 (= @t692 (tptp.hAPP tptp.c_Nat_OSuc @t1232)))))) % 6.51/6.70 (assume @p1117 (forall @t130 (=> @t1855 (= (= @t1854 @t1625) (or @t1626 (= @t61 @t1853)))))) % 6.51/6.70 (assume @p1118 (forall @t134 (=> @t1383 (= @t1321 (tptp.hAPP (tptp.hAPP @t1725 @t1853) @t132))))) % 6.51/6.70 (assume @p1119 (forall @t1156 (=> @t1801 @t1201))) % 6.51/6.70 (assume @p1120 (forall @t1209 (=> @t1208 @t1783))) % 6.51/6.70 (assume @p1121 (forall @t1156 (=> @t1201 @t1801))) % 6.51/6.70 (assume @p1122 (forall @t1156 (=> @t1197 @t1786))) % 6.51/6.70 (assume @p1123 (forall @t1209 (= @t1856 @t1205))) % 6.51/6.70 (assume @p1124 (forall @t1209 (= @t1781 @t1208))) % 6.51/6.70 (assume @p1125 (forall @t1785 (= @t1304 @t1807))) % 6.51/6.70 (assume @p1126 (forall @t1156 (tptp.hBOOL (tptp.hAPP @t1857 @t1717)))) % 6.51/6.70 (assume @p1127 (forall @t1160 (=> @t1212 (= @t1810 (tptp.hAPP tptp.c_Nat_OSuc @t1171))))) % 6.51/6.70 (assume @p1128 (forall @t1216 (= (tptp.hAPP (tptp.hAPP @t864 @t1716) @t1615) @t1153))) % 6.51/6.70 (assume @p1129 (forall @t1445 (=> @t1861 (=> @t1596 (=> @t1860 (= (tptp.hAPP @t1312 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t392)) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1859))))))) % 6.51/6.70 (assume @p1130 (forall @t1445 (=> @t1861 (=> @t1596 (=> @t1860 (= (tptp.hAPP @t1312 (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t392)) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1859))))))) % 6.51/6.70 (assume @p1131 (forall @t130 (=> @t214 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t129) @t61)))) % 6.51/6.70 (assume @p1132 (forall @t130 (=> @t214 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t129) @t61)))) % 6.51/6.70 (assume @p1133 (forall @t1862 (= @t1303 @t1805))) % 6.51/6.70 (assume @p1134 (forall (@list @t1478 @t47 @t106 @t8 @t690 @t1477) (=> (= @t1864 @t983) (= @t1863 (tptp.c_Option_Ooption_ONone @t106))))) % 6.51/6.70 (assume @p1135 (forall (@list @t1865 @t690 @t1477 @t1478 @t106 @t8 @t47) (= (= @t1871 @t1866) (exists @t1870 (and @t1869 (= @t1868 @t1866)))))) % 6.51/6.70 (assume @p1136 (forall (@list @t1478 @t47 @t106 @t1872 @t8 @t690 @t1477) (=> (= @t1864 (tptp.hAPP @t65 @t1872)) (= @t1863 (tptp.hAPP @t1478 @t1872))))) % 6.51/6.70 (assume @p1137 (forall @t1843 (=> @t1874 (= @t1873 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1839) @t116)))))) % 6.51/6.70 (assume @p1138 (forall @t1843 (=> @t1874 (= @t1873 (tptp.hBOOL (tptp.hAPP @t595 @t1844)))))) % 6.51/6.70 (assume @p1139 (forall @t1843 (=> @t1874 (= @t1875 (tptp.hBOOL (tptp.hAPP @t670 @t1844)))))) % 6.51/6.70 (assume @p1140 (forall @t1843 (=> @t1874 (= @t1875 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t1839) @t116)))))) % 6.51/6.70 (assume @p1141 (forall @t1878 (=> @t1186 (= (tptp.hAPP (tptp.hAPP @t864 @t1877) @t1152) (tptp.hAPP (tptp.hAPP @t864 @t1876) @t1174))))) % 6.51/6.70 (assume @p1142 (forall @t1878 (=> @t1186 (= (tptp.hAPP @t1170 @t1877) (tptp.hAPP @t1178 @t1876))))) % 6.51/6.70 (assume @p1143 (forall @t1880 (= (tptp.c_Map_Omap__comp @t47 @t8 @t106 @t337 @t1879 @t61) @t983))) % 6.51/6.70 (assume @p1144 (forall @t1880 (= (tptp.c_Map_Omap__comp @t47 @t8 @t106 @t991 @t337 @t61) @t983))) % 6.51/6.70 (assume @p1145 (forall @t336 (=> @t214 (=> @t363 (=> @t156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1881) @t61))))))) % 6.51/6.70 (assume @p1146 (forall @t336 (=> @t214 (=> @t363 (=> @t156 (tptp.hBOOL (tptp.hAPP @t220 @t1882))))))) % 6.51/6.70 (assume @p1147 (forall @t199 (=> @t214 (=> @t363 (=> @t58 @t1883))))) % 6.51/6.70 (assume @p1148 (forall @t199 (=> @t214 (=> @t363 (=> @t58 @t1884))))) % 6.51/6.70 (assume @p1149 (forall @t995 (=> @t1712 (=> @t363 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1705 @t1886) @t1703) @t51) (tptp.hAPP @t1709 (tptp.hAPP (tptp.hAPP @t1885 @t1703) @t51))))))) % 6.51/6.70 (assume @p1150 (forall @t336 (=> @t363 (and (=> @t156 (= @t1559 @t1386)) @t1887)))) % 6.51/6.70 (assume @p1151 (forall @t336 (=> @t363 @t1887))) % 6.51/6.70 (assume @p1152 (forall (@list @t315 @t1 @t13 @t51 @t8 @t47) (=> @t1890 (=> @t363 (=> @t310 (= (tptp.hAPP @t1888 @t90) (tptp.hAPP (tptp.hAPP @t1704 @t1631) @t1889))))))) % 6.51/6.70 (assume @p1153 (forall (@list @t690 @t1477 @t1478 @t106 @t8 @t47) (= (= @t1871 @t983) (or (= @t1864 @t905) (exists @t1870 (and @t1869 (= @t1868 @t983))))))) % 6.51/6.70 (assume @p1154 (forall @t1893 (=> @t214 (=> @t1892 (=> @t1891 (=> @t509 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1033)) @t1702)))))))) % 6.51/6.70 (assume @p1155 (forall @t1893 (=> @t214 (=> @t1892 (=> @t1891 (=> @t509 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1699) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1033))))))))) % 6.51/6.70 (assume @p1156 (forall @t336 (=> @t363 (= @t1559 @t1713)))) % 6.51/6.70 (assume @p1157 (forall @t1013 (=> @t1712 (=> @t363 (=> @t452 (= @t1710 (tptp.hAPP (tptp.hAPP @t1704 @t1711) (tptp.hAPP @t1707 @t731)))))))) % 6.51/6.70 (assume @p1158 (forall @t1898 (=> @t1280 (= @t1897 (tptp.hBOOL (tptp.hAPP @t1204 @t1894)))))) % 6.51/6.70 (assume @p1159 (forall @t1901 (=> @t1900 (= @t1897 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1899) @t692)))))) % 6.51/6.70 (assume @p1160 (forall @t1156 (= (tptp.hAPP @t1170 @t1716) (tptp.hAPP (tptp.hAPP @t864 @t1902) @t1153)))) % 6.51/6.70 (assume @p1161 (forall @t1216 (= @t1716 @t1903))) % 6.51/6.70 (assume @p1162 (forall @t1216 (= @t1716 @t1904))) % 6.51/6.70 (assume @p1163 (forall @t1901 (=> @t1900 (= @t1905 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1899) @t692)))))) % 6.51/6.70 (assume @p1164 (forall (@list @t1153 @t1152 @t1906 @t1165 @t1162) (=> @t1910 (= @t1909 (tptp.hAPP (tptp.hAPP @t864 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1721 @t1167) @t1906)) @t1152)) @t1153))))) % 6.51/6.70 (assume @p1165 (forall @t1156 (= @t1739 @t1911))) % 6.51/6.70 (assume @p1166 (forall @t1221 (= (tptp.hAPP (tptp.hAPP @t1721 @t1739) @t1161) (tptp.hAPP @t1738 @t1815)))) % 6.51/6.70 (assume @p1167 (forall (@list @t1161 @t1162 @t1906 @t1165) (= (tptp.hAPP @t1908 (tptp.hAPP @t1907 @t1161)) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1721 @t1243) @t1906)) @t1161)))) % 6.51/6.70 (assume @p1168 (forall @t1898 (=> @t1280 (= @t1912 (= @t337 @t1894))))) % 6.51/6.70 (assume @p1169 (forall (@list @t1153 @t1152 @t1906 @t1162 @t1165) (=> @t1215 (= @t1909 (tptp.hAPP @t1170 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1721 @t1913) @t1906)) @t1153)))))) % 6.51/6.70 (assume @p1170 (forall @t1898 (=> @t1280 (= @t1905 (tptp.hBOOL (tptp.hAPP @t1207 @t1894)))))) % 6.51/6.70 (assume @p1171 (forall @t1901 (=> @t1900 (= @t1912 (= @t1899 @t692))))) % 6.51/6.70 (assume @p1172 (forall (@list @t135 @t68 @t136 @t692 @t8) (= (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t692 @t142) (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t1780 @t139)))) % 6.51/6.70 (assume @p1173 (forall (@list @t690 @t393 @t1597 @t47 @t392 @t8) (=> @t1596 (=> @t1613 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t316 @t1597)) (= (tptp.hAPP @t1385 (tptp.hAPP @t1389 (tptp.hAPP @t1595 @t1662))) @t690))) (= (tptp.hAPP (tptp.hAPP @t860 (tptp.hAPP @t1661 @t1607)) @t392) (tptp.hAPP @t1914 (tptp.hAPP @t1562 @t1597)))))))) % 6.51/6.70 (assume @p1174 (forall @t1922 (=> @t1712 (=> @t1596 (=> @t1921 (=> @t1920 (= (tptp.hAPP @t1915 @t1917) (tptp.hAPP (tptp.hAPP @t1704 @t1916) (tptp.hAPP @t1915 @t1597))))))))) % 6.51/6.70 (assume @p1175 (forall (@list @t13 @t61 @t51 @t109 @t8) (=> @t1734 (=> (tptp.hBOOL (tptp.hAPP @t1924 @t61)) (=> @t176 (=> @t1923 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t1725 @t13 (tptp.hAPP @t111 @t584)) @t61)))))))) % 6.51/6.70 (assume @p1176 (forall @t199 (=> @t1129 (=> @t363 (= @t1925 (tptp.hAPP (tptp.hAPP @t787 @t1384) @t51)))))) % 6.51/6.70 (assume @p1177 (forall @t336 (=> @t214 (=> @t363 (=> @t156 (and (=> @t533 @t1929) (=> @t534 (= @t1881 @t1928)))))))) % 6.51/6.70 (assume @p1178 (forall @t336 (=> @t214 (=> @t363 (=> @t156 (and (=> @t533 @t1933) (=> @t534 (= @t1882 @t1932)))))))) % 6.51/6.70 (assume @p1179 (forall (@list @t1033 @t8) (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t1374 @t1033)) (tptp.hBOOL (tptp.hAPP @t359 @t3)))) (tptp.hBOOL (tptp.hAPP @t359 (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t1033)))))) % 6.51/6.70 (assume @p1180 (forall (@list @t157 @t225 @t51 @t8) (=> @t1934 (=> @t1297 @t1294)))) % 6.51/6.70 (assume @p1181 (forall @t405 (=> @t214 (= (tptp.hAPP @t1935 @t255) @t255)))) % 6.51/6.70 (assume @p1182 (forall @t405 (=> @t214 (= (tptp.hAPP @t1936 @t255) @t255)))) % 6.51/6.70 (assume @p1183 (forall @t410 (=> @t214 (= @t1938 (tptp.hAPP @t1937 @t255))))) % 6.51/6.70 (assume @p1184 (forall @t215 (=> @t214 (= @t1942 @t1940)))) % 6.51/6.70 (assume @p1185 (forall @t410 (=> @t214 (= @t1944 (tptp.hAPP @t1943 @t255))))) % 6.51/6.70 (assume @p1186 (forall @t215 (=> @t214 (= @t1948 @t1946)))) % 6.51/6.70 (assume @p1187 (forall @t215 (=> @t214 (= (tptp.hAPP @t1941 @t1948) @t132)))) % 6.51/6.70 (assume @p1188 (forall @t215 (=> @t214 (= (tptp.hAPP @t1947 @t1942) @t132)))) % 6.51/6.70 (assume @p1189 (forall @t410 (=> @t214 (= (tptp.hAPP @t1935 @t1938) @t1938)))) % 6.51/6.70 (assume @p1190 (forall @t215 (=> @t214 (= (tptp.hAPP @t1941 @t1942) @t1942)))) % 6.51/6.70 (assume @p1191 (forall @t410 (=> @t214 (= (tptp.hAPP @t1936 @t1944) @t1944)))) % 6.51/6.70 (assume @p1192 (forall @t215 (=> @t214 (= (tptp.hAPP @t1947 @t1948) @t1948)))) % 6.51/6.70 (assume @p1193 (forall @t271 (=> @t214 (= (tptp.hAPP @t1937 (tptp.hAPP @t1935 @t254)) @t1949)))) % 6.51/6.70 (assume @p1194 (forall @t275 (=> @t214 (= @t1952 (tptp.hAPP @t1939 @t1950))))) % 6.51/6.70 (assume @p1195 (forall @t271 (=> @t214 (= (tptp.hAPP @t1943 (tptp.hAPP @t1936 @t254)) @t1953)))) % 6.51/6.70 (assume @p1196 (forall @t275 (=> @t214 (= @t1956 (tptp.hAPP @t1945 @t1954))))) % 6.51/6.70 (assume @p1197 (forall @t275 (=> @t214 (= @t1958 @t1957)))) % 6.51/6.70 (assume @p1198 (forall @t275 (=> @t214 (= @t1960 @t1959)))) % 6.51/6.70 (assume @p1199 (forall @t262 (=> @t214 (= (tptp.hAPP (tptp.hAPP @t1930 @t1938) @t254) @t1949)))) % 6.51/6.70 (assume @p1200 (forall @t275 (=> @t214 (= (tptp.hAPP (tptp.hAPP @t1930 @t1942) @t272) @t1952)))) % 6.51/6.70 (assume @p1201 (forall @t262 (=> @t214 (= (tptp.hAPP (tptp.hAPP @t1926 @t1944) @t254) @t1953)))) % 6.51/6.70 (assume @p1202 (forall @t275 (=> @t214 (= (tptp.hAPP (tptp.hAPP @t1926 @t1948) @t272) @t1956)))) % 6.51/6.70 (assume @p1203 (forall @t811 (=> @t214 (= (tptp.hAPP (tptp.hAPP @t1930 @t1955) @t132) (tptp.hAPP (tptp.hAPP @t1926 @t1940) (tptp.hAPP (tptp.hAPP @t1930 @t272) @t132)))))) % 6.51/6.70 (assume @p1204 (forall @t811 (=> @t214 (= (tptp.hAPP (tptp.hAPP @t1926 @t1951) @t132) (tptp.hAPP (tptp.hAPP @t1930 @t1946) (tptp.hAPP (tptp.hAPP @t1926 @t272) @t132)))))) % 6.51/6.70 (assume @p1205 (forall @t134 (=> @t214 (= (tptp.hAPP @t1941 @t132) @t132)))) % 6.51/6.70 (assume @p1206 (forall @t134 (=> @t214 (= (tptp.hAPP @t1947 @t132) @t132)))) % 6.51/6.70 (assume @p1207 (forall @t275 (=> @t214 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1959) @t1960))))) % 6.51/6.70 (assume @p1208 (forall @t275 (=> @t214 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1958) @t1957))))) % 6.51/6.70 (assume @p1209 (forall @t215 (=> @t1861 (= (tptp.hAPP @t1312 @t1942) (tptp.hAPP (tptp.hAPP @t1926 @t1321) @t1322))))) % 6.51/6.70 (assume @p1210 (forall @t215 (=> @t1861 (= (tptp.hAPP @t1312 @t1948) (tptp.hAPP (tptp.hAPP @t1930 @t1321) @t1322))))) % 6.51/6.70 (assume @p1211 (forall @t1963 (=> @t214 (= (tptp.hBOOL (tptp.hAPP @t1961 @t1962)) (or (tptp.hBOOL (tptp.hAPP @t1961 @t61)) (tptp.hBOOL (tptp.hAPP @t1961 @t64))))))) % 6.51/6.70 (assume @p1212 (forall @t450 (=> @t214 (=> @t1965 @t449)))) % 6.51/6.70 (assume @p1213 (forall @t448 (=> @t214 (=> @t257 (=> @t447 (tptp.hBOOL (tptp.hAPP @t1964 (tptp.hAPP (tptp.hAPP @t1930 @t254) @t446)))))))) % 6.51/6.70 (assume @p1214 (forall @t280 (=> @t214 (=> @t212 (=> @t278 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1951) @t132))))))) % 6.51/6.70 (assume @p1215 (forall @t445 (=> @t214 (=> @t444 (=> @t443 @t1965))))) % 6.51/6.70 (assume @p1216 (forall @t276 (=> @t214 (=> @t212 (= @t1942 @t132))))) % 6.51/6.70 (assume @p1217 (forall @t215 (=> @t214 (=> @t213 (= @t1942 @t210))))) % 6.51/6.70 (assume @p1218 (forall @t440 (=> @t214 (=> @t439 @t1966)))) % 6.51/6.70 (assume @p1219 (forall @t438 (=> @t214 (=> @t437 @t1966)))) % 6.51/6.70 (assume @p1220 (forall @t435 (=> @t214 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1962) @t315)) @t434)))) % 6.51/6.70 (assume @p1221 (forall @t224 (=> @t214 (= @t221 (= @t1962 @t64))))) % 6.51/6.70 (assume @p1222 (forall @t276 (=> @t214 (tptp.hBOOL (tptp.hAPP @t211 @t1942))))) % 6.51/6.70 (assume @p1223 (forall @t215 (=> @t214 (tptp.hBOOL (tptp.hAPP @t159 @t1942))))) % 6.51/6.70 (assume @p1224 (forall @t435 (=> @t214 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1967) @t315)) (or @t433 @t432))))) % 6.51/6.70 (assume @p1225 (forall @t438 (=> @t214 (=> @t1968 @t802)))) % 6.51/6.70 (assume @p1226 (forall @t448 (=> @t214 (=> @t257 (=> @t447 (tptp.hBOOL (tptp.hAPP @t1969 (tptp.hAPP (tptp.hAPP @t1926 @t254) @t446)))))))) % 6.51/6.70 (assume @p1227 (forall @t275 (=> @t214 (=> @t213 (=> @t273 (tptp.hBOOL (tptp.hAPP @t159 @t1955))))))) % 6.51/6.70 (assume @p1228 (forall @t438 (=> @t214 (=> @t437 (=> @t439 @t1968))))) % 6.51/6.70 (assume @p1229 (forall @t276 (=> @t214 (=> @t212 (= @t1948 @t210))))) % 6.51/6.70 (assume @p1230 (forall @t215 (=> @t214 (=> @t213 (= @t1948 @t132))))) % 6.51/6.70 (assume @p1231 (forall @t800 (=> @t214 (=> @t443 @t1970)))) % 6.51/6.70 (assume @p1232 (forall @t445 (=> @t214 (=> @t444 @t1970)))) % 6.51/6.70 (assume @p1233 (forall @t435 (=> @t214 (= (tptp.hBOOL (tptp.hAPP @t220 (tptp.hAPP (tptp.hAPP @t1926 @t64) @t315))) @t797)))) % 6.51/6.70 (assume @p1234 (forall @t224 (=> @t214 (= @t221 (= @t1967 @t61))))) % 6.51/6.70 (assume @p1235 (forall @t215 (=> @t214 (tptp.hBOOL (tptp.hAPP @t1971 @t210))))) % 6.51/6.70 (assume @p1236 (forall @t215 (=> @t214 (tptp.hBOOL (tptp.hAPP @t1971 @t132))))) % 6.51/6.70 (assume @p1237 (forall @t438 (=> @t214 (=> @t685 @t1972)))) % 6.51/6.70 (assume @p1238 (forall @t440 (=> @t214 (=> @t684 @t1972)))) % 6.51/6.70 (assume @p1239 (forall @t1963 (=> @t214 (= (tptp.hBOOL (tptp.hAPP @t1973 @t1962)) (or @t1975 @t1974))))) % 6.51/6.70 (assume @p1240 (forall @t435 (=> @t214 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t1962) @t315)) (and @t1977 @t1976))))) % 6.51/6.70 (assume @p1241 (forall @t445 (=> @t214 (=> @t805 @t1978)))) % 6.51/6.70 (assume @p1242 (forall @t800 (=> @t214 (=> @t804 @t1978)))) % 6.51/6.70 (assume @p1243 (forall @t1963 (=> @t214 (= (tptp.hBOOL (tptp.hAPP @t1973 @t1967)) (and @t1975 @t1974))))) % 6.51/6.70 (assume @p1244 (forall @t435 (=> @t214 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t1967) @t315)) (or @t1977 @t1976))))) % 6.51/6.70 (assume @p1245 (forall @t275 (=> @t957 (= (tptp.hAPP (tptp.hAPP @t928 @t1942) @t272) (tptp.hAPP (tptp.hAPP @t1930 @t1979) @t1764))))) % 6.51/6.70 (assume @p1246 (forall @t275 (=> @t957 (= (tptp.hAPP (tptp.hAPP @t928 @t1948) @t272) (tptp.hAPP (tptp.hAPP @t1926 @t1979) @t1764))))) % 6.51/6.70 (assume @p1247 (forall @t275 (=> @t601 (= (tptp.hAPP (tptp.hAPP @t557 @t1942) @t272) (tptp.hAPP (tptp.hAPP @t1930 @t1981) @t1980))))) % 6.51/6.70 (assume @p1248 (forall @t275 (=> @t601 (= (tptp.hAPP (tptp.hAPP @t557 @t1948) @t272) (tptp.hAPP (tptp.hAPP @t1926 @t1981) @t1980))))) % 6.51/6.70 (assume @p1249 (forall @t365 (=> (and @t404 @t214) (= @t389 @t1930)))) % 6.51/6.70 (assume @p1250 (forall @t365 (=> (and @t759 @t214) (= @t745 @t1926)))) % 6.51/6.70 (assume @p1251 (forall @t1156 (= (tptp.hAPP (tptp.hAPP @t1982 @t1717) @t1716) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1982 @t1152) @t1153))))) % 6.51/6.70 (assume @p1252 (forall @t1156 (= (tptp.hAPP (tptp.hAPP @t1983 @t1717) @t1716) (tptp.hAPP tptp.c_Nat_OSuc @t1984)))) % 6.51/6.70 (assume @p1253 (forall (@list @t1153 @t1165 @t1152) (= (tptp.hAPP (tptp.hAPP @t1983 (tptp.hAPP @t1170 @t1165)) @t1268) (tptp.hAPP (tptp.hAPP @t864 @t1984) @t1165)))) % 6.51/6.70 (assume @p1254 (forall @t680 (tptp.hBOOL (tptp.hAPP @t1985 @t315)))) % 6.51/6.70 (assume @p1255 (forall (@list @t61 @t315 @t2 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP @t1985 @t61)) @t1986))) % 6.51/6.70 (assume @p1256 (forall (@list @t61 @t51 @t315 @t2 @t47 @t8) (=> @t1988 @t363))) % 6.51/6.70 (assume @p1257 (forall @t365 (=> @t214 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t1930)))) % 6.51/6.70 (assume @p1258 (forall @t365 (=> @t214 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t1926)))) % 6.51/6.70 (assume @p1259 (forall (@list @t51 @t109 @t8) (=> @t1129 (= (tptp.hBOOL (tptp.hAPP @t1323 @t1925)) @t1395)))) % 6.51/6.70 (assume @p1260 (forall (@list @t13 @t392 @t8) (=> @t1150 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t392)) @t13)) (exists @t7 (and @t1366 (tptp.hBOOL (tptp.hAPP @t1989 @t13)))))))) % 6.51/6.70 (assume @p1261 (forall @t1991 (=> @t887 (=> @t1988 (=> @t1990 @t94))))) % 6.51/6.70 (assume @p1262 (forall @t1160 (= (tptp.hAPP (tptp.hAPP @t1000 @t1993) @t1152) (tptp.hAPP @t1992 @t1152)))) % 6.51/6.70 (assume @p1263 (forall (@list @t1305 @t1153 @t8) (=> (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t1716 @t1305) (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t1153 @t1305)))) % 6.51/6.70 (assume @p1264 (forall @t200 (=> @t1342 @t1996))) % 6.51/6.70 (assume @p1265 (forall @t1445 (= @t1998 (tptp.hAPP (tptp.hAPP @t1997 @t392) @t1444)))) % 6.51/6.70 (assume @p1266 (forall @t623 (=> @t299 (=> @t1990 (tptp.hBOOL (tptp.hAPP @t1999 @t622)))))) % 6.51/6.70 (assume @p1267 (forall @t200 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1344 @t77) @t51)) (tptp.hBOOL (tptp.hAPP @t1995 @t2000))))) % 6.51/6.70 (assume @p1268 (forall @t365 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t1337) @t1407))) % 6.51/6.70 (assume @p1269 (forall @t311 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t1350) (tptp.hAPP (tptp.hAPP @t729 @t13) @t2000)))) % 6.51/6.70 (assume @p1270 (forall @t365 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t1448) @t56))) % 6.51/6.70 (assume @p1271 (forall @t100 (=> @t1129 (=> @t156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1925) @t61)))))) % 6.51/6.70 (assume @p1272 (forall @t174 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t1347) (tptp.hAPP (tptp.hAPP @t729 @t1994) @t2000)))) % 6.51/6.70 (assume @p1273 (forall (@list @t64 @t51 @t315 @t2 @t47 @t8) (=> @t887 (=> @t1990 (= @t875 @t64))))) % 6.51/6.70 (assume @p1274 (forall @t14 (=> @t1129 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t113) @t13)))) % 6.51/6.70 (assume @p1275 (forall @t365 (=> @t1129 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t56) @t1384)))) % 6.51/6.70 (assume @p1276 (forall @t365 (=> @t1129 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t1407) @t73)))) % 6.51/6.70 (assume @p1277 (forall @t91 (=> @t1129 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t90) (tptp.hAPP @t790 @t1925))))) % 6.51/6.70 (assume @p1278 (forall @t791 (=> @t214 (=> @t363 (= (tptp.hAPP @t2002 @t90) (tptp.hAPP @t2004 @t2003)))))) % 6.51/6.70 (assume @p1279 (forall @t791 (=> @t214 (=> @t363 (= (tptp.hAPP @t2006 @t90) (tptp.hAPP @t2008 @t2007)))))) % 6.51/6.70 (assume @p1280 (forall @t336 (=> @t214 (=> @t363 (=> @t156 (= @t2009 @t1882)))))) % 6.51/6.70 (assume @p1281 (forall @t336 (=> @t214 (=> @t363 (=> @t156 (= @t2010 @t1881)))))) % 6.51/6.70 (assume @p1282 (forall @t1078 (= @t1417 @t2011))) % 6.51/6.70 (assume @p1283 (forall @t1358 (= @t2011 @t1417))) % 6.51/6.70 (assume @p1284 (forall (@list @t51 @t315 @t2 @t8 @t47) (= (tptp.hAPP @t812 @t51) (tptp.c_HOL_OThe @t8 (tptp.c_Finite__Set_Ofold__graph @t47 @t8 @t2 @t315 @t51))))) % 6.51/6.70 (assume @p1285 (forall @t174 (= (tptp.hAPP @t194 @t2000) (tptp.hAPP (tptp.hAPP @t1997 @t77) @t194)))) % 6.51/6.70 (assume @p1286 (forall (@list @t315 @t64 @t51 @t109 @t8) (=> @t1734 (=> (tptp.hBOOL (tptp.hAPP @t1924 @t64)) (=> @t1923 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t1725 @t315 @t178) (tptp.hAPP @t2012 @t64)))))))) % 6.51/6.70 (assume @p1287 (forall @t835 (=> @t214 (=> @t363 (=> @t176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t2004 @t109)) @t2003))))))) % 6.51/6.70 (assume @p1288 (forall @t835 (=> @t214 (=> @t363 (=> @t176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2007) (tptp.hAPP @t2008 @t109)))))))) % 6.51/6.70 (assume @p1289 (forall @t336 (=> @t214 (=> @t363 @t2014)))) % 6.51/6.70 (assume @p1290 (forall @t336 (=> @t214 (=> @t363 @t2016)))) % 6.51/6.70 (assume @p1291 (forall @t174 (=> @t214 (=> @t363 (=> @t470 (=> @t171 (= (tptp.hAPP (tptp.hAPP @t1930 @t2017) @t1882) @t1882))))))) % 6.51/6.70 (assume @p1292 (forall @t174 (=> @t214 (=> @t363 (=> @t470 (=> @t171 (= (tptp.hAPP (tptp.hAPP @t1926 @t2018) @t1881) @t1881))))))) % 6.51/6.70 (assume @p1293 (forall @t174 (=> @t214 (=> @t363 (=> @t58 (=> @t452 (=> @t470 @t2021))))))) % 6.51/6.70 (assume @p1294 (forall @t174 (=> @t214 (=> @t363 (=> @t58 (=> @t452 (=> @t470 @t2024))))))) % 6.51/6.70 (assume @p1295 (forall @t174 (= @t731 (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t1349)))) % 6.51/6.70 (assume @p1296 (forall (@list @t315 @t51 @t2 @t47 @t8) (=> @t887 (=> @t363 (tptp.hBOOL (tptp.hAPP @t1987 @t875)))))) % 6.51/6.70 (assume @p1297 (forall @t364 (=> @t214 (=> @t363 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t90) @t2025))))) % 6.51/6.70 (assume @p1298 (forall @t1109 (= (tptp.hAPP @t1498 @t1511) (tptp.hAPP (tptp.hAPP @t729 (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t1380)) (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t1379))))) % 6.51/6.70 (assume @p1299 (forall @t364 (=> @t214 (=> @t363 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t90) @t2026))))) % 6.51/6.70 (assume @p1300 (forall @t174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP (tptp.hAPP @t193 @t1994) @t2000)) (tptp.c_Complete__Lattice_OInf__class_OInf @t55 @t1378))))) % 6.51/6.70 (assume @p1301 (forall @t114 (=> @t1129 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t121) @t834)))) % 6.51/6.70 (assume @p1302 (forall @t174 (=> @t1129 (=> @t363 (= (tptp.hAPP (tptp.hAPP @t745 @t77) @t1925) (tptp.hAPP (tptp.hAPP @t787 @t77) @t51)))))) % 6.51/6.70 (assume @p1303 (forall @t199 (=> @t1129 (=> @t363 (=> @t58 (= @t896 @t1925)))))) % 6.51/6.70 (assume @p1304 (forall @t1991 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t47 @t2 @t315 @t530) @t64)) (=> @t156 (tptp.hBOOL (tptp.hAPP @t1987 @t622)))))) % 6.51/6.70 (assume @p1305 (forall @t336 (=> @t214 (=> @t363 (=> @t299 @t2014))))) % 6.51/6.70 (assume @p1306 (forall @t336 (=> @t214 (=> @t363 (=> @t299 @t2016))))) % 6.51/6.70 (assume @p1307 (forall @t336 (=> @t214 (=> @t363 (and (=> @t533 (= @t2013 @t61)) (=> @t534 (= @t2013 @t1932))))))) % 6.51/6.70 (assume @p1308 (forall @t174 (=> @t214 (=> @t363 (=> @t452 (=> @t733 (= (tptp.hAPP (tptp.hAPP @t1930 @t2020) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t731)) @t2019))))))) % 6.51/6.70 (assume @p1309 (forall @t174 (=> @t214 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (=> @t732 @t2021)))))))) % 6.51/6.70 (assume @p1310 (forall @t336 (=> @t214 (=> @t363 (and (=> @t533 (= @t2015 @t61)) (=> @t534 (= @t2015 @t1928))))))) % 6.51/6.70 (assume @p1311 (forall @t174 (=> @t214 (=> @t363 (=> @t452 (=> @t733 (= (tptp.hAPP (tptp.hAPP @t1926 @t2023) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t731)) @t2022))))))) % 6.51/6.70 (assume @p1312 (forall @t174 (=> @t214 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (=> @t732 @t2024)))))))) % 6.51/6.70 (assume @p1313 (forall @t336 (=> @t214 (=> @t363 (=> @t299 (= @t2013 @t2027)))))) % 6.51/6.70 (assume @p1314 (forall @t336 (=> @t214 (=> @t363 (=> @t299 (= @t2015 @t2028)))))) % 6.51/6.70 (assume @p1315 (forall @t365 (=> @t214 (= (tptp.c_Orderings_Oord_Omin @t8 @t2029) @t1930)))) % 6.51/6.70 (assume @p1316 (forall @t365 (=> @t214 (= (tptp.c_Orderings_Oord_Omax @t8 @t2029) @t1926)))) % 6.51/6.70 (assume @p1317 (forall @t365 (=> @t261 (= @t1930 (tptp.c_Orderings_Oord_Omax @t8 @t158))))) % 6.51/6.70 (assume @p1318 (forall @t365 (=> @t261 (= @t1926 (tptp.c_Orderings_Oord_Omin @t8 @t158))))) % 6.51/6.70 (assume @p1319 (forall (@list @t61 @t51 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t2 @t13 @t51) @t61)) (=> @t310 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t90) @t61)))))) % 6.51/6.70 (assume @p1320 (forall @t336 (=> @t214 (=> @t363 (=> @t58 (= (tptp.hAPP @t1931 @t2030) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 (tptp.hAPP @t1389 (tptp.hAPP @t1672 (tptp.hAPP (tptp.hAPP @t491 (tptp.hAPP @t1670 (tptp.hAPP @t1669 (tptp.hAPP @t1667 @t1931)))) @t1512)))))))))) % 6.51/6.70 (assume @p1321 (forall @t336 (=> @t214 (=> @t363 (=> @t58 (= (tptp.hAPP @t1927 @t2031) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 (tptp.hAPP @t1389 (tptp.hAPP @t1672 (tptp.hAPP (tptp.hAPP @t491 (tptp.hAPP @t1670 (tptp.hAPP @t1669 (tptp.hAPP @t1667 @t1927)))) @t1512)))))))))) % 6.51/6.70 (assume @p1322 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t1982)) % 6.51/6.70 (assume @p1323 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t1983)) % 6.51/6.70 (assume @p1324 (forall (@list @t61 @t51 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP @t2032 @t61)) @t58))) % 6.51/6.70 (assume @p1325 (forall (@list @t61 @t2 @t8) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t56) @t61))))) % 6.51/6.70 (assume @p1326 (forall @t199 (=> @t214 (=> @t363 (=> @t58 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2030) @t2031))))))) % 6.51/6.70 (assume @p1327 (forall @t336 (=> @t214 (=> @t363 (=> @t156 (= @t2033 @t2030)))))) % 6.51/6.70 (assume @p1328 (forall @t336 (=> @t214 (=> @t363 (=> @t156 (= @t2034 @t2031)))))) % 6.51/6.70 (assume @p1329 (forall @t130 (=> @t214 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 @t129) @t61)))) % 6.51/6.70 (assume @p1330 (forall @t130 (=> @t214 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 @t129) @t61)))) % 6.51/6.70 (assume @p1331 (forall (@list @t109 @t13 @t2 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t113) @t109)) @t110))) % 6.51/6.70 (assume @p1332 (forall @t336 (=> @t214 (=> @t363 @t2036)))) % 6.51/6.70 (assume @p1333 (forall @t336 (=> @t214 (=> @t363 @t2038)))) % 6.51/6.70 (assume @p1334 (forall @t174 (=> @t214 (=> @t363 (=> @t470 (=> @t171 (= (tptp.hAPP (tptp.hAPP @t1926 @t2039) @t2030) @t2030))))))) % 6.51/6.70 (assume @p1335 (forall @t174 (=> @t214 (=> @t363 (=> @t470 (=> @t171 (= (tptp.hAPP (tptp.hAPP @t1930 @t2040) @t2031) @t2031))))))) % 6.51/6.70 (assume @p1336 (forall @t364 (=> @t214 (=> @t363 (=> @t176 (= (tptp.hAPP @t2004 @t2030) @t13)))))) % 6.51/6.70 (assume @p1337 (forall @t364 (=> @t214 (=> @t363 (=> @t176 (= (tptp.hAPP @t2008 @t2031) @t13)))))) % 6.51/6.70 (assume @p1338 (forall @t174 (=> @t214 (=> @t363 (=> @t58 (=> @t452 (=> @t470 @t2043))))))) % 6.51/6.70 (assume @p1339 (forall @t174 (=> @t214 (=> @t363 (=> @t58 (=> @t452 (=> @t470 @t2046))))))) % 6.51/6.70 (assume @p1340 (forall @t364 (=> @t214 (=> @t363 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 @t90) @t2026))))) % 6.51/6.70 (assume @p1341 (forall @t364 (=> @t214 (=> @t363 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 @t90) @t2025))))) % 6.51/6.70 (assume @p1342 (forall @t336 (=> @t214 (=> @t363 (=> @t299 @t2036))))) % 6.51/6.70 (assume @p1343 (forall @t336 (=> @t214 (=> @t363 (=> @t299 @t2038))))) % 6.51/6.70 (assume @p1344 (forall @t336 (=> @t214 (=> @t363 (and (=> @t533 (= @t2035 @t61)) (=> @t534 (= @t2035 @t2047))))))) % 6.51/6.70 (assume @p1345 (forall @t336 (=> @t214 (=> @t363 (and (=> @t533 (= @t2037 @t61)) (=> @t534 (= @t2037 @t2048))))))) % 6.51/6.70 (assume @p1346 (forall @t174 (=> @t214 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (=> @t732 @t2043)))))))) % 6.51/6.70 (assume @p1347 (forall @t174 (=> @t214 (=> @t363 (=> @t452 (=> @t733 (= (tptp.hAPP (tptp.hAPP @t1926 @t2042) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 @t731)) @t2041))))))) % 6.51/6.70 (assume @p1348 (forall @t174 (=> @t214 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (=> @t732 @t2046)))))))) % 6.51/6.70 (assume @p1349 (forall @t174 (=> @t214 (=> @t363 (=> @t452 (=> @t733 (= (tptp.hAPP (tptp.hAPP @t1930 @t2045) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 @t731)) @t2044))))))) % 6.51/6.70 (assume @p1350 (forall @t336 (=> @t214 (=> @t363 (=> @t299 (= @t2035 @t2028)))))) % 6.51/6.70 (assume @p1351 (forall @t336 (=> @t214 (=> @t363 (=> @t299 (= @t2037 @t2027)))))) % 6.51/6.70 (assume @p1352 (forall @t336 (=> @t214 (=> @t363 (=> @t156 (and (=> @t533 (= @t2030 @t61)) (=> @t534 (= @t2030 @t2047)))))))) % 6.51/6.70 (assume @p1353 (forall @t336 (=> @t214 (=> @t363 (=> @t156 (and (=> @t533 (= @t2031 @t61)) (=> @t534 (= @t2031 @t2048)))))))) % 6.51/6.70 (assume @p1354 (forall @t174 (=> @t214 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (= (tptp.hAPP (tptp.hAPP @t1926 @t2031) @t2040) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 (tptp.hAPP @t1389 (tptp.hAPP @t1672 (tptp.hAPP @t1684 (tptp.hAPP (tptp.hAPP @t1683 (tptp.hAPP @t1682 (tptp.hAPP @t1681 (tptp.hAPP @t1679 (tptp.hAPP @t1677 @t1926))))) @t1675))))))))))))) % 6.51/6.70 (assume @p1355 (forall @t174 (=> @t214 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (= (tptp.hAPP (tptp.hAPP @t1930 @t2030) @t2039) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 (tptp.hAPP @t1389 (tptp.hAPP @t1672 (tptp.hAPP @t1684 (tptp.hAPP (tptp.hAPP @t1683 (tptp.hAPP @t1682 (tptp.hAPP @t1681 (tptp.hAPP @t1679 (tptp.hAPP @t1677 @t1930))))) @t1675))))))))))))) % 6.51/6.70 (assume @p1356 (forall (@list @t13 @t64 @t51 @t315 @t2 @t47 @t8) (=> @t887 (=> @t1990 (=> @t176 (exists (@list @t2049) (and (= @t64 (tptp.hAPP @t80 @t2049)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t47 @t2 @t315 @t584) @t2049))))))))) % 6.51/6.70 (assume @p1357 (forall @t199 (=> @t214 (=> @t363 (=> @t58 (=> @t2051 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t2031) @t51)))))))) % 6.51/6.70 (assume @p1358 (forall @t199 (=> @t214 (=> @t363 (=> @t58 (=> @t2053 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t2030) @t51)))))))) % 6.51/6.70 (assume @p1359 (forall @t199 (=> @t214 (=> @t363 (=> @t58 (=> @t2051 @t1883)))))) % 6.51/6.70 (assume @p1360 (forall @t199 (=> @t214 (=> @t363 (=> @t58 (=> @t2053 @t1884)))))) % 6.51/6.70 (assume @p1361 (forall @t715 (=> @t214 (=> @t2054 (=> @t509 (=> @t508 (= (tptp.hAPP @t356 (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 @t505)) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 @t507)))))))) % 6.51/6.70 (assume @p1362 (forall @t715 (=> @t214 (=> @t2055 (=> @t509 (=> @t508 (= (tptp.hAPP @t356 (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 @t505)) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 @t507)))))))) % 6.51/6.70 (assume @p1363 (forall @t715 (=> @t214 (=> @t2054 (=> @t509 (=> @t508 (= (tptp.hAPP @t356 @t1702) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t507)))))))) % 6.51/6.70 (assume @p1364 (forall @t715 (=> @t214 (=> @t2055 (=> @t509 (=> @t508 (= (tptp.hAPP @t356 @t1699) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t507)))))))) % 6.51/6.70 (assume @p1365 (forall (@list @t353 @t354 @t352 @t2 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t2059) @t353)) (exists @t609 (and (= @t2059 @t2057) (tptp.hBOOL (tptp.hAPP @t2056 @t353)) (not @t608)))))) % 6.51/6.70 (assume @p1366 (forall (@list @t61 @t157 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t2060) @t61)) (not (forall @t609 (=> (= @t2060 @t2057) (=> (tptp.hBOOL (tptp.hAPP @t2056 @t61)) @t608))))))) % 6.51/6.70 (assume @p1367 (forall @t364 (=> @t1734 (=> @t363 (=> @t310 @t2062))))) % 6.51/6.70 (assume @p1368 (forall (@list @t13 @t2 @t8 @t1) (=> (= @t1 @t2063) (= (tptp.hAPP @t1 @t113) @t13)))) % 6.51/6.70 (assume @p1369 (forall (@list @t13 @t2 @t8) (= (tptp.hAPP @t2063 @t113) @t13))) % 6.51/6.70 (assume @p1370 (forall @t504 (=> @t464 @t2065))) % 6.51/6.70 (assume @p1371 (forall @t2066 (= @t2064 (tptp.c_HOL_OThe @t8 @t2032)))) % 6.51/6.70 (assume @p1372 (forall @t199 (=> @t390 (=> @t363 (= @t625 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t389) @t51)))))) % 6.51/6.70 (assume @p1373 (forall @t199 (=> @t390 (=> @t363 (= @t896 @t2067))))) % 6.51/6.70 (assume @p1374 (forall @t199 (=> @t214 (=> @t363 (= @t1881 @t2069))))) % 6.51/6.70 (assume @p1375 (forall @t199 (=> @t214 (=> @t363 (= @t1882 @t2070))))) % 6.51/6.70 (assume @p1376 (forall @t199 (=> @t214 (=> @t363 (= @t2030 @t2069))))) % 6.51/6.70 (assume @p1377 (forall @t199 (=> @t214 (=> @t363 (= @t2031 @t2070))))) % 6.51/6.70 (assume @p1378 (forall @t364 (=> @t759 (=> @t363 (=> @t176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2067) @t13))))))) % 6.51/6.70 (assume @p1379 (forall @t336 (=> @t759 (=> @t363 (=> @t58 (= (tptp.hBOOL (tptp.hAPP @t220 @t2067)) @t2072)))))) % 6.51/6.70 (assume @p1380 (forall @t364 (=> @t214 (=> @t363 (=> @t176 (tptp.hBOOL (tptp.hAPP @t2073 @t13))))))) % 6.51/6.70 (assume @p1381 (forall @t336 (=> @t1728 (=> @t58 (=> @t363 @t2075))))) % 6.51/6.70 (assume @p1382 (forall @t336 (=> @t214 (=> @t363 (=> @t58 (= (tptp.hBOOL (tptp.hAPP @t2073 @t61)) (exists @t7 (and @t234 (tptp.hBOOL (tptp.hAPP @t1364 @t61)))))))))) % 6.51/6.70 (assume @p1383 (forall @t336 (=> @t214 (=> @t363 (=> @t58 (= (tptp.hBOOL (tptp.hAPP @t220 @t2069)) @t2072)))))) % 6.51/6.70 (assume @p1384 (forall @t174 (=> @t1728 (=> @t363 (=> @t58 (=> @t452 (=> @t470 @t2076))))))) % 6.51/6.70 (assume @p1385 (forall @t336 (=> @t214 (=> @t363 (=> @t58 (= (tptp.hBOOL (tptp.hAPP @t631 @t2069)) (forall @t7 (=> @t234 (tptp.hBOOL (tptp.hAPP @t631 @t3)))))))))) % 6.51/6.70 (assume @p1386 (forall @t336 (=> @t214 (=> @t363 (=> @t58 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2069) @t61)) (exists @t7 (and @t234 (tptp.hBOOL (tptp.hAPP @t1989 @t61)))))))))) % 6.51/6.70 (assume @p1387 (forall @t364 (=> @t1728 (=> @t363 @t2062)))) % 6.51/6.70 (assume @p1388 (forall @t336 (=> @t1734 (=> @t58 (=> @t363 (=> @t299 @t2075)))))) % 6.51/6.70 (assume @p1389 (forall @t174 (=> @t214 (=> @t58 (=> @t173 (=> @t452 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t2068 @t77)) @t2069)))))))) % 6.51/6.70 (assume @p1390 (forall @t174 (=> @t1734 (=> @t363 (=> @t58 (=> @t452 (=> @t470 (=> @t732 @t2076)))))))) % 6.51/6.70 (assume @p1391 (forall @t504 (=> (tptp.c_Big__Operators_Osemilattice__big @t8 @t2 @t123) @t2065))) % 6.51/6.70 (assume @p1392 (forall @t199 (=> @t1734 (=> @t363 (=> @t58 (=> (forall @t503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t2077) @t501))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t2074) @t51)))))))) % 6.51/6.70 (assume @p1393 (forall @t715 (=> @t1728 (=> (forall @t503 (= (tptp.hAPP @t356 @t2077) (tptp.hAPP (tptp.hAPP @t1725 @t511) @t510))) (=> @t509 (=> @t508 (= (tptp.hAPP @t356 (tptp.hAPP @t2061 @t505)) (tptp.hAPP @t2061 @t507)))))))) % 6.51/6.70 (assume @p1394 (forall @t174 (=> (forall @t2080 (=> (tptp.hBOOL (tptp.hAPP @t2079 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2078) @t77)))) (=> (not (= @t51 @t1337)) @t1996)))) % 6.51/6.70 (assume @p1395 (forall @t999 (= (tptp.hAPP @t2081 @t2) (tptp.c_Option_Ooption_Ooption__case @t693 @t8 @t905 @t1558)))) % 6.51/6.70 (assume @p1396 (forall (@list @t1865 @t51 @t61 @t315 @t2 @t47 @t8) (=> @t887 (=> (tptp.hBOOL (tptp.hAPP @t1999 @t1865)) (=> @t299 (not (forall @t44 (=> (= @t1865 (tptp.hAPP @t67 @t42)) (not (tptp.hBOOL (tptp.hAPP @t1987 @t42))))))))))) % 6.51/6.70 (assume @p1397 (forall @t87 (= (tptp.hAPP @t2082 @t905) @t983))) % 6.51/6.70 (assume @p1398 (forall (@list @t2083 @t2 @t8 @t47) (= (= (tptp.hAPP @t2082 @t2083) @t983) (= @t2083 @t905)))) % 6.51/6.70 (assume @p1399 (forall @t2084 (= (tptp.hAPP @t2082 @t695) (tptp.hAPP @t65 @t67)))) % 6.51/6.70 (assume @p1400 (forall (@list @t64 @t295 @t2 @t8 @t47) (= (= (tptp.hAPP @t2082 @t295) @t66) (exists @t2086 (and (= @t295 (tptp.hAPP @t618 @t2085)) (= (tptp.hAPP @t2 @t2085) @t64)))))) % 6.51/6.70 (assume @p1401 (forall (@list @t337 @t2 @t106 @t47 @t8) (= (tptp.c_Map_Odom @t8 @t47 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t2088 @t693) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2089 (tptp.tc_fun @t2088 @t693) @t8) @t2087) @t2)) @t337)) (tptp.c_Map_Odom @t8 @t106 @t337)))) % 6.51/6.70 (assume @p1402 (forall @t718 (=> @t2093 (=> (tptp.hBOOL (tptp.hAPP @t358 @t320)) (exists @t7 (and @t234 (not (tptp.hBOOL (tptp.hAPP @t359 (tptp.hAPP @t1389 (tptp.hAPP @t1537 (tptp.hAPP @t2092 @t5)))))))))))) % 6.51/6.70 (assume @p1403 (forall @t997 (=> @t1460 (=> (not (= (tptp.hAPP @t1562 @t1455) @t2095)) @t1461)))) % 6.51/6.70 (assume @p1404 (forall (@list @t1653 @t2 @t47 @t8) (=> @t1588 (tptp.hBOOL (tptp.hAPP @t1468 (tptp.hAPP (tptp.c_Set_Oimage @t47 @t687 (tptp.c_Map_Omap__add @t47 @t8 @t2 (tptp.hAPP @t2096 @t1653))) @t1455)))))) % 6.51/6.70 (assume @p1405 (forall @t1209 (= @t1856 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t1207 @t692))))) % 6.51/6.70 (assume @p1406 (forall @t999 (=> (tptp.hBOOL (tptp.hAPP @t359 @t998)) (=> (not @t1461) (exists @t7 (= @t5 @t905)))))) % 6.51/6.70 (assume @p1407 (forall @t915 (=> @t1712 (=> @t363 (=> @t156 (= @t2101 @t2100)))))) % 6.51/6.70 (assume @p1408 (forall @t1216 (not (tptp.hBOOL (tptp.hAPP @t1307 @t2094))))) % 6.51/6.70 (assume @p1409 (forall @t1216 (tptp.hBOOL (tptp.hAPP @t2102 @t1153)))) % 6.51/6.70 (assume @p1410 (forall @t1216 (tptp.hBOOL (tptp.hAPP @t2103 @t1716)))) % 6.51/6.70 (assume @p1411 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t2094)) % 6.51/6.70 (assume @p1412 (forall @t2104 (= (tptp.c_Nat_Onat_Onat__case @t8 @t456 @t616 @t2094) @t456))) % 6.51/6.70 (assume @p1413 (forall @t130 (=> (tptp.class_Groups_Ozero @t8) (= (= @t2105 @t61) @t2106)))) % 6.51/6.70 (assume @p1414 (forall @t904 (=> @t2113 (=> @t363 (=> @t2112 @t2110))))) % 6.51/6.70 (assume @p1415 (forall @t904 (=> (and @t2113 (tptp.class_Rings_Ono__zero__divisors @t47)) (=> @t363 (= @t2110 @t2112))))) % 6.51/6.70 (assume @p1416 (forall @t2119 (=> @t1596 (= @t2118 @t2115)))) % 6.51/6.70 (assume @p1417 (forall @t405 (=> @t784 @t2120))) % 6.51/6.70 (assume @p1418 (forall @t405 (=> @t2121 @t2120))) % 6.51/6.70 (assume @p1419 (forall @t14 (=> @t1861 (= (= @t2105 @t2123) @t2122)))) % 6.51/6.70 (assume @p1420 (forall @t405 (=> @t784 @t2125))) % 6.51/6.70 (assume @p1421 (forall @t405 (=> @t2121 @t2125))) % 6.51/6.70 (assume @p1422 (forall @t335 (=> @t1769 (= (= @t109 @t945) @t2122)))) % 6.51/6.70 (assume @p1423 (forall @t405 (=> @t1575 @t2120))) % 6.51/6.70 (assume @p1424 (forall @t405 (=> @t1575 @t2125))) % 6.51/6.70 (assume @p1425 (forall @t410 (=> @t2129 (=> @t2128 (or @t2127 @t2126))))) % 6.51/6.70 (assume @p1426 (forall @t410 (=> @t2129 (=> @t2131 (=> @t2130 (not @t2128)))))) % 6.51/6.70 (assume @p1427 (forall @t114 (=> (tptp.class_Rings_Oring__no__zero__divisors @t8) (= (= @t2133 @t2105) (or @t2122 @t2132))))) % 6.51/6.70 (assume @p1428 (forall @t405 (=> @t2135 @t2134))) % 6.51/6.70 (assume @p1429 (forall @t405 (=> @t2135 @t2136))) % 6.51/6.70 (assume @p1430 (forall @t405 (=> @t1575 @t2134))) % 6.51/6.70 (assume @p1431 (forall @t405 (=> @t1575 @t2136))) % 6.51/6.70 (assume @p1432 (forall @t405 (=> @t978 (= (tptp.hAPP @t979 @t2105) @t255)))) % 6.51/6.70 (assume @p1433 (forall @t405 (=> @t978 (= (tptp.hAPP @t979 @t255) @t2105)))) % 6.51/6.70 (assume @p1434 (forall @t114 (=> @t708 (= @t110 @t2137)))) % 6.51/6.70 (assume @p1435 (forall @t114 (=> @t978 (= @t2137 @t110)))) % 6.51/6.70 (assume @p1436 (forall @t365 (=> @t2138 (not (= @t2105 @t1625))))) % 6.51/6.70 (assume @p1437 (forall @t365 (=> @t2138 (not (= @t1625 @t2105))))) % 6.51/6.70 (assume @p1438 (forall @t14 (=> @t1861 (= (= @t1314 @t13) @t2122)))) % 6.51/6.70 (assume @p1439 (forall @t14 (=> @t978 (= (= @t1314 @t2105) @t2122)))) % 6.51/6.70 (assume @p1440 (forall @t14 (=> @t1861 (= (= @t13 @t1314) @t2122)))) % 6.51/6.70 (assume @p1441 (forall @t14 (=> @t978 (= (= @t2105 @t1314) (= @t2105 @t13))))) % 6.51/6.70 (assume @p1442 (forall @t365 (=> @t978 (= (tptp.hAPP @t1312 @t2105) @t2105)))) % 6.51/6.70 (assume @p1443 (forall @t1825 (not (= @t1717 @t2094)))) % 6.51/6.70 (assume @p1444 (forall @t1825 (not (= @t2094 @t1717)))) % 6.51/6.70 (assume @p1445 (forall (@list @t2139) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t2139) @t2094)))) % 6.51/6.70 (assume @p1446 (forall (@list @t2140) (not (= @t2094 (tptp.hAPP tptp.c_Nat_OSuc @t2140))))) % 6.51/6.70 (assume @p1447 (forall @t1216 (=> @t2143 @t2141))) % 6.51/6.70 (assume @p1448 (forall @t1156 (=> @t1201 @t2143))) % 6.51/6.70 (assume @p1449 (forall @t1862 (= @t2146 @t2144))) % 6.51/6.70 (assume @p1450 (forall @t1156 (=> (= @t1155 @t1152) @t2142))) % 6.51/6.70 (assume @p1451 (forall @t1209 (= (= @t2148 @t2094) (and @t2147 @t2145)))) % 6.51/6.70 (assume @p1452 (forall @t1825 (= (tptp.hAPP @t1154 @t2094) @t1152))) % 6.51/6.70 (assume @p1453 (forall @t1216 (= (tptp.hAPP (tptp.hAPP @t1000 @t2094) @t1153) @t1153))) % 6.51/6.70 (assume @p1454 (forall @t1862 (= (tptp.hBOOL (tptp.hAPP @t1803 @t2094)) @t2145))) % 6.51/6.70 (assume @p1455 (forall @t842 (=> @t1791 (= (tptp.hAPP (tptp.hAPP @t2149 (tptp.hAPP (tptp.hAPP @t840 @t1831) @t1)) @t51) (tptp.hAPP (tptp.hAPP @t1725 @t2152) (tptp.hAPP @t2150 @t51)))))) % 6.51/6.70 (assume @p1456 (forall @t1216 (= (tptp.hAPP (tptp.hAPP @t864 @t2094) @t1153) @t2094))) % 6.51/6.70 (assume @p1457 (forall @t1825 (= (tptp.hAPP @t1170 @t2094) @t1152))) % 6.51/6.70 (assume @p1458 (forall @t1825 (= (tptp.hAPP @t1170 @t1152) @t2094))) % 6.51/6.70 (assume @p1459 (forall @t1156 (=> @t2153 (=> (= @t1993 @t2094) @t1198)))) % 6.51/6.70 (assume @p1460 (forall @t1225 (= @t2157 (or @t2154 @t1203)))) % 6.51/6.70 (assume @p1461 (forall @t1216 (= (tptp.hAPP (tptp.hAPP @t1721 @t2094) @t1153) @t2094))) % 6.51/6.70 (assume @p1462 (forall @t1825 (= (tptp.hAPP @t1738 @t2094) @t2094))) % 6.51/6.70 (assume @p1463 (forall @t1209 (= (= @t1828 @t2094) (or @t2147 @t2145)))) % 6.51/6.70 (assume @p1464 (forall @t1225 (= @t2157 @t2158))) % 6.51/6.70 (assume @p1465 (forall @t1230 (= (= @t2161 @t2160) @t2158))) % 6.51/6.70 (assume @p1466 (forall @t2163 (=> @t1791 (= (tptp.hAPP (tptp.hAPP @t2149 (tptp.hAPP @t2162 @t1625)) @t51) @t1625)))) % 6.51/6.70 (assume @p1467 (forall @t1216 (= (tptp.hAPP (tptp.hAPP @t1983 @t2094) @t1153) @t2094))) % 6.51/6.70 (assume @p1468 (forall @t1216 (= (tptp.hAPP @t2164 @t2094) @t2094))) % 6.51/6.70 (assume @p1469 (forall @t1216 (= (tptp.hAPP (tptp.hAPP @t1982 @t2094) @t1153) @t1153))) % 6.51/6.70 (assume @p1470 (forall @t1216 (= (tptp.hAPP @t1992 @t2094) @t1153))) % 6.51/6.70 (assume @p1471 (forall @t2163 (=> @t784 (= (tptp.hAPP (tptp.hAPP @t776 @t2165) @t51) @t2105)))) % 6.51/6.70 (assume @p1472 (forall @t2166 (=> @t1791 (= (tptp.hAPP @t2150 @t49) @t1625)))) % 6.51/6.70 (assume @p1473 (forall @t999 (=> @t1791 (= (tptp.hAPP @t2151 @t49) @t1625)))) % 6.51/6.70 (assume @p1474 (forall @t904 (=> @t1712 (=> @t2093 (= @t2109 @t1703))))) % 6.51/6.70 (assume @p1475 (forall @t2168 (=> @t1712 @t2167))) % 6.51/6.70 (assume @p1476 (forall @t2171 (=> @t360 (= (= (tptp.hAPP @t2117 @t123) @t1615) (forall @t7 (=> @t2170 @t2169)))))) % 6.51/6.70 (assume @p1477 (forall @t995 (=> @t1712 (=> @t363 (= (tptp.hAPP (tptp.hAPP @t2097 @t1886) @t51) (tptp.hAPP @t2172 (tptp.hAPP (tptp.hAPP @t2097 @t356) @t51))))))) % 6.51/6.70 (assume @p1478 (forall @t410 (=> @t2175 (=> @t2174 (=> @t2173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t932) @t2105))))))) % 6.51/6.70 (assume @p1479 (forall @t2179 (=> @t2175 (=> @t2178 (=> @t270 @t2176))))) % 6.51/6.70 (assume @p1480 (forall @t262 (=> @t2175 (=> @t2180 (=> @t259 @t2176))))) % 6.51/6.70 (assume @p1481 (forall @t224 (=> @t2175 (=> (tptp.hBOOL (tptp.hAPP @t2177 @t61)) (=> (tptp.hBOOL (tptp.hAPP @t2177 @t64)) (= (= @t2184 @t2105) @t2182)))))) % 6.51/6.70 (assume @p1482 (forall @t410 (=> @t2175 (=> @t2180 (=> @t2185 (tptp.hBOOL (tptp.hAPP @t2177 @t932))))))) % 6.51/6.70 (assume @p1483 (forall @t14 (=> @t1861 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2123) @t2105)) @t2186)))) % 6.51/6.70 (assume @p1484 (forall @t14 (=> @t1861 (= (tptp.hBOOL (tptp.hAPP @t2177 @t2123)) @t2187)))) % 6.51/6.70 (assume @p1485 (forall @t410 (=> @t2189 (=> (or (and @t2180 @t2173) (and @t2174 @t2185)) @t2188)))) % 6.51/6.70 (assume @p1486 (forall @t410 (=> @t1874 (=> (or (and @t2180 @t2185) (and @t2174 @t2173)) @t2190)))) % 6.51/6.70 (assume @p1487 (forall @t965 (=> @t2194 (=> @t269 (=> @t963 (=> @t2185 @t2193)))))) % 6.51/6.70 (assume @p1488 (forall @t965 (=> @t2194 (=> @t269 (=> @t963 (=> @t2180 @t2193)))))) % 6.51/6.70 (assume @p1489 (forall @t271 (=> @t1874 (=> @t270 (=> @t2199 @t2198))))) % 6.51/6.70 (assume @p1490 (forall @t271 (=> @t1874 (=> @t270 (=> @t2199 @t2200))))) % 6.51/6.70 (assume @p1491 (forall @t262 (=> (tptp.class_Rings_Oordered__comm__semiring @t8) @t2201))) % 6.51/6.70 (assume @p1492 (forall @t262 (=> @t2194 @t2201))) % 6.51/6.70 (assume @p1493 (forall @t262 (=> @t2194 (=> @t269 (=> @t2178 @t2200))))) % 6.51/6.70 (assume @p1494 (forall @t410 (=> @t1874 (=> @t2174 (=> @t2173 @t2190))))) % 6.51/6.70 (assume @p1495 (forall @t410 (=> @t2189 (=> @t2174 (=> @t2185 @t2188))))) % 6.51/6.70 (assume @p1496 (forall @t410 (=> @t2189 (=> @t2180 (=> @t2173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1740) @t2105))))))) % 6.51/6.70 (assume @p1497 (forall @t410 (=> @t2189 (=> @t2180 (=> @t2173 @t2188))))) % 6.51/6.70 (assume @p1498 (forall @t410 (=> @t2189 (=> @t2180 (=> @t2185 @t2190))))) % 6.51/6.70 (assume @p1499 (forall @t114 (=> @t2205 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2133) @t2105)) @t2204)))) % 6.51/6.70 (assume @p1500 (forall @t114 (=> @t2205 (= (tptp.hBOOL (tptp.hAPP @t2177 @t2133)) @t2206)))) % 6.51/6.70 (assume @p1501 (forall @t405 (=> @t2207 (tptp.hBOOL (tptp.hAPP @t2177 @t1727))))) % 6.51/6.70 (assume @p1502 (forall @t410 (=> @t2175 (=> @t2211 @t2210)))) % 6.51/6.70 (assume @p1503 (forall @t410 (=> @t2175 (=> @t2216 @t2215)))) % 6.51/6.70 (assume @p1504 (forall @t14 (=> @t1861 @t2218))) % 6.51/6.70 (assume @p1505 (forall @t14 (=> @t1861 (= (tptp.hBOOL (tptp.hAPP @t2212 @t2123)) @t2219)))) % 6.51/6.70 (assume @p1506 (forall @t262 (=> @t1645 (=> @t2216 @t2221)))) % 6.51/6.70 (assume @p1507 (forall @t405 (=> @t2207 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t1727) @t2105)))))) % 6.51/6.70 (assume @p1508 (forall @t969 (=> @t2205 (= (tptp.hBOOL (tptp.hAPP @t2226 @t1766)) @t2225)))) % 6.51/6.70 (assume @p1509 (forall @t967 (=> @t2205 (= @t2230 @t2225)))) % 6.51/6.70 (assume @p1510 (forall @t967 (=> @t2205 (=> @t2224 (= @t2230 @t673))))) % 6.51/6.70 (assume @p1511 (forall @t410 (=> @t2232 (=> @t2216 (=> @t2214 @t2231))))) % 6.51/6.70 (assume @p1512 (forall @t410 (=> @t2232 (=> @t2216 (=> @t2209 @t2233))))) % 6.51/6.70 (assume @p1513 (forall @t410 (=> @t2232 (=> @t2216 (=> @t2209 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t1740) @t2105))))))) % 6.51/6.70 (assume @p1514 (forall @t410 (=> @t2232 (=> @t2231 @t2234)))) % 6.51/6.70 (assume @p1515 (forall @t646 (=> @t2232 (=> (tptp.hBOOL (tptp.hAPP @t2212 @t1740)) @t2234)))) % 6.51/6.70 (assume @p1516 (forall @t967 (=> @t2205 (=> @t2223 (= @t2230 @t2222))))) % 6.51/6.70 (assume @p1517 (forall @t410 (=> @t2232 (=> @t2211 (=> @t2214 @t2233))))) % 6.51/6.70 (assume @p1518 (forall @t410 (=> @t2205 (=> @t2211 (=> @t2209 @t2231))))) % 6.51/6.70 (assume @p1519 (forall @t262 (=> @t2232 (=> @t645 (=> @t2237 @t2236))))) % 6.51/6.70 (assume @p1520 (forall @t262 (=> @t2232 @t2239))) % 6.51/6.70 (assume @p1521 (forall @t262 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t8) @t2239))) % 6.51/6.70 (assume @p1522 (forall @t271 (=> @t2205 (=> @t643 (=> @t2240 @t2236))))) % 6.51/6.70 (assume @p1523 (forall @t271 (=> @t2205 (=> @t643 (=> @t2240 @t2238))))) % 6.51/6.70 (assume @p1524 (forall @t114 (=> @t601 (= @t598 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t599) @t2105)))))) % 6.51/6.70 (assume @p1525 (forall @t114 (=> @t601 (= @t673 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t599) @t2105)))))) % 6.51/6.70 (assume @p1526 (forall @t224 (=> @t2205 (= (= @t2241 @t2105) @t2182)))) % 6.51/6.70 (assume @p1527 (forall (@list @t446 @t254 @t38 @t255 @t2242 @t8) (=> @t1769 (=> (not (= @t2242 @t2105)) (=> (and @t260 (not (= @t254 @t446))) (not (= (tptp.hAPP @t931 (tptp.hAPP @t2243 @t254)) (tptp.hAPP @t929 (tptp.hAPP @t2243 @t446))))))))) % 6.51/6.70 (assume @p1528 (forall @t365 (=> @t1645 (not (tptp.hBOOL (tptp.hAPP @t2244 @t2105)))))) % 6.51/6.70 (assume @p1529 (forall @t365 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t2177 @t1625))))) % 6.51/6.70 (assume @p1530 (forall @t365 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t2212 @t1625))))) % 6.51/6.70 (assume @p1531 (forall @t365 (=> @t1645 (not (tptp.hBOOL (tptp.hAPP @t1836 @t2105)))))) % 6.51/6.70 (assume @p1532 (forall @t14 (=> @t601 (= (tptp.hBOOL (tptp.hAPP @t2177 @t1314)) @t2186)))) % 6.51/6.70 (assume @p1533 (forall @t14 (=> @t1861 (= (tptp.hBOOL (tptp.hAPP @t597 @t1314)) @t2186)))) % 6.51/6.70 (assume @p1534 (forall @t14 (=> @t601 (= (tptp.hBOOL (tptp.hAPP @t1325 @t2105)) @t2187)))) % 6.51/6.70 (assume @p1535 (forall @t14 (=> @t1861 (= (tptp.hBOOL (tptp.hAPP @t1325 @t13)) @t2187)))) % 6.51/6.70 (assume @p1536 (forall @t14 (=> @t601 (= (tptp.hBOOL (tptp.hAPP @t2212 @t1314)) @t2217)))) % 6.51/6.70 (assume @p1537 (forall @t14 (=> @t601 (= (tptp.hBOOL (tptp.hAPP @t1330 @t2105)) @t2219)))) % 6.51/6.70 (assume @p1538 (forall @t14 (=> @t1861 (= (tptp.hBOOL (tptp.hAPP @t1330 @t13)) @t2219)))) % 6.51/6.70 (assume @p1539 (forall @t14 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP @t672 @t1314)) @t2217)))) % 6.51/6.70 (assume @p1540 (forall @t410 (=> @t978 (=> (= @t932 @t2105) (= @t1316 @t38))))) % 6.51/6.70 (assume @p1541 (forall @t405 (=> @t708 @t2245))) % 6.51/6.70 (assume @p1542 (forall @t405 (=> @t978 @t2245))) % 6.51/6.70 (assume @p1543 (forall @t114 (=> @t978 (= @t1315 (= @t939 @t2105))))) % 6.51/6.70 (assume @p1544 (forall @t405 (=> @t978 (= (tptp.hAPP @t931 @t1316) @t2105)))) % 6.51/6.70 (assume @p1545 (forall @t405 (=> @t978 (= (tptp.hAPP (tptp.hAPP @t557 @t2105) @t255) @t1316)))) % 6.51/6.70 (assume @p1546 (forall @t999 (=> @t784 (= (tptp.hAPP @t838 @t49) @t2105)))) % 6.51/6.70 (assume @p1547 (forall @t2166 (=> @t784 (= (tptp.hAPP @t836 @t49) @t2105)))) % 6.51/6.70 (assume @p1548 (forall @t2168 (=> @t910 @t2246))) % 6.51/6.70 (assume @p1549 (forall @t904 (=> @t910 (=> @t2093 (= @t721 @t2107))))) % 6.51/6.70 (assume @p1550 (forall @t1862 (= @t2144 (exists @t1637 @t2247)))) % 6.51/6.70 (assume @p1551 (forall @t1862 (= (tptp.hBOOL (tptp.hAPP @t1303 @t2095)) @t2145))) % 6.51/6.70 (assume @p1552 (forall @t1209 (= @t1781 (or @t2147 (exists @t2250 (and (= @t337 (tptp.hAPP tptp.c_Nat_OSuc @t2248)) (tptp.hBOOL (tptp.hAPP @t2249 @t692)))))))) % 6.51/6.70 (assume @p1553 (forall @t1209 (= (= @t2148 @t2095) @t2253))) % 6.51/6.70 (assume @p1554 (forall @t1209 (= (= @t2095 @t2148) @t2253))) % 6.51/6.70 (assume @p1555 (forall (@list @t1653 @t47 @t8) (tptp.hBOOL (tptp.hAPP @t359 (tptp.c_Map_Odom @t8 @t47 @t2255))))) % 6.51/6.70 (assume @p1556 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP @t2103 @t2148)) (or @t2256 @t2144)))) % 6.51/6.70 (assume @p1557 (forall @t365 (= (tptp.hAPP @t1385 @t56) @t2094))) % 6.51/6.70 (assume @p1558 (forall @t199 @t2258)) % 6.51/6.70 (assume @p1559 (forall @t1209 (= (= @t1828 @t2095) (and @t2252 @t2251)))) % 6.51/6.70 (assume @p1560 (forall @t1160 (=> @t2141 (=> @t2259 (tptp.hBOOL (tptp.hAPP @t1857 @t1152)))))) % 6.51/6.70 (assume @p1561 (forall @t1785 (= (tptp.hBOOL (tptp.hAPP @t2103 @t2260)) @t1205))) % 6.51/6.70 (assume @p1562 (forall @t1225 (=> @t2261 (= @t2157 @t1203)))) % 6.51/6.70 (assume @p1563 (forall @t1225 (=> @t2261 (= @t2262 @t1205)))) % 6.51/6.70 (assume @p1564 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP @t2103 @t1828)) (and @t2256 @t2144)))) % 6.51/6.70 (assume @p1565 (forall @t1225 (= @t2262 @t2263))) % 6.51/6.70 (assume @p1566 (forall @t1230 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t2161) @t2160)) @t2263))) % 6.51/6.70 (assume @p1567 (forall @t1169 (=> @t1249 (=> @t2264 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1819) @t1823)))))) % 6.51/6.70 (assume @p1568 (forall @t1169 (=> @t1249 (=> @t2264 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1822) @t1821)))))) % 6.51/6.70 (assume @p1569 (forall @t1160 (= (tptp.hAPP @t1267 @t1158) @t2094))) % 6.51/6.70 (assume @p1570 (forall @t1209 (= (= @t2265 @t2094) @t1208))) % 6.51/6.70 (assume @p1571 (forall @t1156 (=> @t1197 @t2153))) % 6.51/6.70 (assume @p1572 (= @t1615 @t2095)) % 6.51/6.70 (assume @p1573 (forall @t1156 (=> (= @t1152 @t1739) (or (= @t1153 @t1615) @t2266)))) % 6.51/6.70 (assume @p1574 (forall @t2171 (=> @t360 (= (= (tptp.hAPP @t861 @t123) @t2094) (forall @t7 (=> @t2170 (= @t5 @t2094))))))) % 6.51/6.70 (assume @p1575 (forall @t2268 (= (tptp.c_Nat_Onat_Onat__case @t8 @t456 @t616 @t1737) @t2267))) % 6.51/6.70 (assume @p1576 (forall @t2275 (=> @t1712 (=> @t1596 (and (=> @t2272 (= @t2271 @t2274)) (=> @t2273 (= @t2271 @t1703))))))) % 6.51/6.70 (assume @p1577 (forall @t2275 (=> @t1712 (=> @t1596 (and (=> @t2272 (= @t2277 @t2274)) (=> @t2273 (= @t2277 @t1703))))))) % 6.51/6.70 (assume @p1578 (forall @t410 (=> @t2175 (=> @t2216 (=> @t2185 @t2213))))) % 6.51/6.70 (assume @p1579 (forall @t410 (=> @t2175 (=> @t2180 @t2215)))) % 6.51/6.70 (assume @p1580 (forall @t262 (=> @t2175 (=> @t2216 (=> @t259 @t2220))))) % 6.51/6.70 (assume @p1581 (forall @t262 (=> @t2175 (=> @t2180 @t2221)))) % 6.51/6.70 (assume @p1582 (forall @t410 (=> @t2175 (=> @t2211 (=> @t2173 @t2208))))) % 6.51/6.70 (assume @p1583 (forall @t410 (=> @t2175 (=> @t2174 @t2210)))) % 6.51/6.70 (assume @p1584 (forall @t958 (=> @t2232 (=> @t2198 @t2278)))) % 6.51/6.70 (assume @p1585 (forall @t961 (=> @t2232 (=> @t2200 @t2278)))) % 6.51/6.70 (assume @p1586 (forall @t958 (=> @t2232 @t2280))) % 6.51/6.70 (assume @p1587 (forall @t958 (=> @t2281 @t2280))) % 6.51/6.70 (assume @p1588 (forall @t961 (=> @t2232 @t2282))) % 6.51/6.70 (assume @p1589 (forall @t961 (=> @t2281 @t2282))) % 6.51/6.70 (assume @p1590 (forall @t965 (=> @t2232 (=> @t269 (=> @t974 (=> @t2216 @t2284)))))) % 6.51/6.70 (assume @p1591 (forall @t965 (=> @t2232 (=> @t645 (=> @t963 (=> @t2180 (=> @t2237 @t2283))))))) % 6.51/6.70 (assume @p1592 (forall @t965 (=> @t2232 (=> @t645 (=> @t974 (=> @t2180 @t2284)))))) % 6.51/6.70 (assume @p1593 (forall @t965 (=> @t2232 (=> @t645 (=> @t974 (=> @t2214 @t2284)))))) % 6.51/6.70 (assume @p1594 (forall @t967 (=> @t2205 (=> @t2223 (= @t2286 @t2285))))) % 6.51/6.70 (assume @p1595 (forall @t967 (=> @t2205 (=> @t2224 (= @t2286 @t598))))) % 6.51/6.70 (assume @p1596 (forall @t224 (=> @t2205 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2241) @t2105)) @t2182)))) % 6.51/6.70 (assume @p1597 (forall @t215 (=> @t2207 (tptp.hBOOL (tptp.hAPP @t2177 @t2288))))) % 6.51/6.70 (assume @p1598 (forall @t224 (=> @t2205 (= (tptp.hBOOL (tptp.hAPP @t2212 @t2241)) @t2290)))) % 6.51/6.70 (assume @p1599 (forall @t215 (=> @t2207 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2288) @t2105)))))) % 6.51/6.70 (assume @p1600 (forall @t215 (=> @t1658 (=> @t2294 (=> @t2293 (=> @t2292 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2291) @t132)))))))) % 6.51/6.70 (assume @p1601 (forall @t215 (=> @t1658 (=> @t2294 (=> @t2293 (=> @t2292 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t1762) @t132)))))))) % 6.51/6.70 (assume @p1602 (forall @t365 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t2212 @t1846))))) % 6.51/6.70 (assume @p1603 (forall @t199 (= @t2257 (or @t57 @t2093)))) % 6.51/6.70 (assume @p1604 (forall @t199 (=> @t2295 @t363))) % 6.51/6.70 (assume @p1605 (forall (@list @t1165 @t1153) (=> @t2141 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 (tptp.hAPP @t1267 @t1788)) @t1153))))) % 6.51/6.70 (assume @p1606 (forall @t1216 (=> @t2141 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1267 @t2095)) @t1153)))) % 6.51/6.70 (assume @p1607 (forall @t1160 (=> @t2298 (=> @t2297 (tptp.hBOOL (tptp.hAPP @t1307 @t1739)))))) % 6.51/6.70 (assume @p1608 (forall @t1160 (=> @t2298 (=> @t2297 (tptp.hBOOL (tptp.hAPP @t1307 @t1911)))))) % 6.51/6.70 (assume @p1609 (forall @t1160 (=> @t2298 (=> @t2297 (tptp.hBOOL (tptp.hAPP @t2296 @t1739)))))) % 6.51/6.70 (assume @p1610 (forall @t2307 (= @t2306 (and (=> @t2305 @t2304) (forall @t2303 (=> @t2302 @t2301)))))) % 6.51/6.70 (assume @p1611 (forall @t2307 (= @t2306 (not (or (and @t2305 @t2308) (exists @t2303 (and @t2302 (not @t2301)))))))) % 6.51/6.70 (assume @p1612 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP @t2309 @t1828)) (and (tptp.hBOOL (tptp.hAPP @t2309 @t337)) (tptp.hBOOL (tptp.hAPP @t2309 @t692)))))) % 6.51/6.70 (assume @p1613 (forall @t1225 (=> @t2261 (= @t2310 @t1208)))) % 6.51/6.70 (assume @p1614 (forall @t1230 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t2161) @t2160)) @t2311))) % 6.51/6.70 (assume @p1615 (forall @t1225 (= @t2310 @t2311))) % 6.51/6.70 (assume @p1616 (forall @t915 (=> @t1712 (=> @t363 (=> @t299 (= @t2312 (tptp.hAPP @t2099 @t2101))))))) % 6.51/6.70 (assume @p1617 (forall @t727 (=> @t1712 (=> @t363 (=> @t310 (= (tptp.hAPP @t2108 @t90) (tptp.hAPP (tptp.hAPP @t1704 @t80) @t2109))))))) % 6.51/6.70 (assume @p1618 (forall @t2316 (=> @t363 (= (= @t863 @t2095) (exists @t7 (and @t234 (= @t5 @t2095) @t2315)))))) % 6.51/6.70 (assume @p1619 (forall @t1013 (=> @t1712 (=> @t363 (=> @t452 (= (tptp.hAPP (tptp.hAPP @t1704 @t2318) (tptp.hAPP @t2098 @t731)) @t2317)))))) % 6.51/6.70 (assume @p1620 (forall @t2316 (=> @t363 (= (= @t863 @t1615) (exists @t7 (and @t234 @t2169 @t2315)))))) % 6.51/6.70 (assume @p1621 (forall @t2275 (=> @t910 (=> @t1596 (and (=> @t2272 (= @t2319 @t2274)) (=> @t2273 (= @t2319 @t2107))))))) % 6.51/6.70 (assume @p1622 (forall @t2275 (=> @t910 (=> @t1596 (and (=> @t2272 (= @t2320 @t2274)) (=> @t2273 (= @t2320 @t2107))))))) % 6.51/6.70 (assume @p1623 (forall @t2168 (=> @t1712 @t2321))) % 6.51/6.70 (assume @p1624 (forall @t2168 (=> @t1712 (and @t2321 @t2167)))) % 6.51/6.70 (assume @p1625 (forall (@list @t135 @t68 @t136 @t8) (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t2094 @t139))) % 6.51/6.70 (assume @p1626 (forall @t2333 (=> (not @t2332) (= @t2330 @t2326)))) % 6.51/6.70 (assume @p1627 (forall @t2333 (=> @t2332 (not (= @t2326 @t2094))))) % 6.51/6.70 (assume @p1628 (forall @t2333 (=> @t2332 (= (tptp.hAPP tptp.c_Nat_OSuc @t2330) @t2326)))) % 6.51/6.70 (assume @p1629 (forall @t2336 (tptp.hBOOL (tptp.hAPP @t1468 (tptp.hAPP (tptp.c_Set_Oimage @t47 @t687 @t2335) @t1455))))) % 6.51/6.70 (assume @p1630 (forall @t2342 (=> (tptp.class_Rings_Olinordered__semiring__1 @t8) (=> @t437 (=> (tptp.hBOOL (tptp.hAPP @t211 @t255)) (=> @t2341 (=> @t2340 (=> @t2339 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2338) @t255)))))))))) % 6.51/6.70 (assume @p1631 (forall @t1020 (=> @t1712 (=> @t363 (= @t2312 @t2100))))) % 6.51/6.70 (assume @p1632 (forall @t1013 (=> @t1712 (=> @t363 (=> @t452 (=> @t732 @t2343)))))) % 6.51/6.70 (assume @p1633 (forall @t199 (= @t2295 (and @t58 @t363)))) % 6.51/6.70 (assume @p1634 (forall @t365 (=> @t1461 (tptp.hBOOL (tptp.hAPP @t2103 @t1480))))) % 6.51/6.70 (assume @p1635 (forall @t2168 (=> @t910 @t2344))) % 6.51/6.70 (assume @p1636 (forall @t2168 (=> @t910 (and @t2344 @t2246)))) % 6.51/6.70 (assume @p1637 (forall @t1216 (=> @t2141 (= @t1153 @t2346)))) % 6.51/6.70 (assume @p1638 (forall @t1216 (=> @t2141 (= @t2346 @t1153)))) % 6.51/6.70 (assume @p1639 (forall @t1156 (and (=> @t2266 (= @t1155 @t1153)) (=> @t2347 (= @t1155 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1000 @t1902) @t1153))))))) % 6.51/6.70 (assume @p1640 (forall @t1156 (and (=> @t2266 (= @t1739 @t2094)) (=> @t2347 (= @t1739 (tptp.hAPP @t1157 (tptp.hAPP (tptp.hAPP @t1721 @t1902) @t1153))))))) % 6.51/6.70 (assume @p1641 (forall @t2349 (=> @t910 (=> @t363 (= (tptp.hAPP @t720 @t1538) @t2348))))) % 6.51/6.70 (assume @p1642 (forall @t2349 (=> @t910 (=> @t363 (= @t1022 @t2348))))) % 6.51/6.70 (assume @p1643 (forall @t199 (and @t2350 @t2258))) % 6.51/6.70 (assume @p1644 (forall @t199 @t2350)) % 6.51/6.70 (assume @p1645 (forall @t2342 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t8) (=> @t685 (=> (tptp.hBOOL (tptp.hAPP @t635 @t255)) (=> @t2341 (=> @t2340 (=> @t2339 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2338) @t255)))))))))) % 6.51/6.70 (assume @p1646 (forall (@list @t288 @t290 @t293 @t2351 @t8) (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__size @t8 @t2351 @t294) @t2094))) % 6.51/6.70 (assume @p1647 (forall @t14 (=> @t1658 @t2218))) % 6.51/6.70 (assume @p1648 (forall (@list @t288 @t290 @t293 @t8) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t9) @t294) @t2094))) % 6.51/6.70 (assume @p1649 (forall @t174 (=> @t363 (=> @t452 (=> (=> (exists @t7 @t2353) @t2352) @t1593))))) % 6.51/6.70 (assume @p1650 (forall @t2360 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t47) (=> @t452 (=> @t173 (=> (forall @t2359 (=> (tptp.hBOOL (tptp.hAPP @t2358 @t563)) (tptp.hBOOL (tptp.hAPP @t2357 (tptp.hAPP @t2 @t2356))))) @t2355)))))) % 6.51/6.70 (assume @p1651 (forall @t1013 (=> @t1712 (=> @t363 (=> @t452 (=> (forall @t7 (=> @t2353 (= @t4 @t1703))) @t2343)))))) % 6.51/6.70 (assume @p1652 (forall @t1209 (= (tptp.hAPP (tptp.hAPP @t1982 @t337) @t1780) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1780 (tptp.hAPP @t2363 (tptp.hAPP (tptp.hAPP @t2361 @t1982) @t692)) @t337)))) % 6.51/6.70 (assume @p1653 (forall @t1785 (= (tptp.hAPP @t2365 @t337) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1780 (tptp.hAPP @t2363 @t2364) @t337)))) % 6.51/6.70 (assume @p1654 (forall @t1209 (= (tptp.hAPP @t1262 @t1780) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t2094 @t2366 @t2265)))) % 6.51/6.70 (assume @p1655 (forall @t1785 (= (tptp.hAPP @t2368 @t337) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t2094 (tptp.hAPP @t2363 @t2367) @t337)))) % 6.51/6.70 (assume @p1656 (forall @t1209 (= (tptp.hAPP (tptp.hAPP @t1983 @t337) @t1780) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t2094 (tptp.hAPP @t2363 (tptp.hAPP (tptp.hAPP @t2361 @t1983) @t692)) @t337)))) % 6.51/6.70 (assume @p1657 (forall @t14 (=> @t1861 @t2369))) % 6.51/6.70 (assume @p1658 (forall @t1922 (=> @t1712 (=> @t1596 (=> @t1921 (=> @t1920 (= (tptp.hAPP @t2108 @t1917) (tptp.hAPP (tptp.hAPP @t1704 @t2371) @t2370)))))))) % 6.51/6.70 (assume @p1659 (forall @t2378 (= (tptp.hAPP (tptp.hAPP @t1721 @t2377) (tptp.hAPP (tptp.hAPP @t2376 (tptp.hAPP (tptp.hAPP @t2362 @t2373) (tptp.hAPP (tptp.hAPP @t2361 @t1721) @t116))) @t2375)) (tptp.hAPP @t2159 (tptp.hAPP @t2373 (tptp.hAPP @t2373 (tptp.hAPP (tptp.hAPP @t1721 @t2372) @t116))))))) % 6.51/6.70 (assume @p1660 (forall @t1013 (=> @t910 (=> @t363 (=> @t452 (=> (forall @t7 (=> @t2353 (= @t4 @t2107))) @t1021)))))) % 6.51/6.70 (assume @p1661 (forall @t1922 (=> @t910 (=> @t1596 (=> @t1921 (=> (forall @t7 (=> @t1919 @t2111)) (= (tptp.hAPP @t720 @t1917) (tptp.hAPP (tptp.hAPP @t912 @t2380) @t2379)))))))) % 6.51/6.70 (assume @p1662 (forall (@list @t690 @t51 @t8) (= (= @t1386 @t1720) (exists (@list @t2356 @t2381) (and (= @t51 (tptp.hAPP (tptp.hAPP @t81 @t2356) @t2381)) (not (tptp.hBOOL (tptp.hAPP @t2358 @t2381))) (= (tptp.hAPP @t1385 @t2381) @t690) (=> @t2154 (= @t2381 @t56))))))) % 6.51/6.70 (assume @p1663 (forall @t2360 (=> (and @t910 @t2383) (=> @t452 (=> @t173 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t232 @t563)) @t2382)) @t2355)))))) % 6.51/6.70 (assume @p1664 (forall @t1428 (tptp.hBOOL (tptp.hAPP @t1427 @t2384)))) % 6.51/6.70 (assume @p1665 (forall @t224 (=> @t214 (= (= @t2387 @t2386) @t222)))) % 6.51/6.70 (assume @p1666 (= (tptp.hAPP @t2374 @t2094) @t2388)) % 6.51/6.70 (assume @p1667 (forall @t1428 (= @t2391 (tptp.hAPP @t2390 @t2384)))) % 6.51/6.70 (assume @p1668 (forall @t2392 (= (tptp.hAPP @t2325 (tptp.hAPP @t2374 @t1137)) @t1137))) % 6.51/6.70 (assume @p1669 (= (tptp.hAPP @t2393 @t2374) @t1624)) % 6.51/6.70 (assume @p1670 (forall @t1862 (= @t2396 (tptp.hAPP @t2395 (tptp.hAPP @t2394 @t2375))))) % 6.51/6.70 (assume @p1671 (forall @t2400 (=> @t784 (= (tptp.hAPP @t2399 @t2396) (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t2399 @t2375)) @t2397))))) % 6.51/6.70 (assume @p1672 (forall @t2402 (=> @t261 (= (tptp.hBOOL (tptp.hAPP @t1036 @t2401)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t1034) @t690)))))) % 6.51/6.70 (assume @p1673 (forall @t224 (=> @t214 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2387) @t2386)) @t221)))) % 6.51/6.70 (assume @p1674 (forall @t2404 (=> @t214 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t613 (tptp.hAPP @t2385 @t337)) (tptp.hAPP @t2385 @t692))) (tptp.hBOOL (tptp.hAPP @t2403 @t692)))))) % 6.51/6.70 (assume @p1675 (forall @t2406 (=> @t223 (= (tptp.hAPP (tptp.hAPP @t528 @t2405) @t2401) @t2405)))) % 6.51/6.70 (assume @p1676 (forall (@list @t692 @t116 @t13 @t8) (=> @t1575 (= (tptp.hAPP @t1847 (tptp.hAPP (tptp.hAPP @t2398 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t8 tptp.tc_Nat_Onat) @t937) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t8 @t8) (tptp.hAPP (tptp.hAPP @t2410 @t1725) @t2407)) @t116))) @t2375)) (tptp.hAPP @t2409 (tptp.hAPP @t937 (tptp.hAPP @t937 (tptp.hAPP (tptp.hAPP @t1725 (tptp.hAPP @t2407 @t2372)) @t116)))))))) % 6.51/6.70 (assume @p1677 (forall (@list @t18 @t109 @t13 @t392 @t8 @t47) (=> @t1712 (=> @t1596 (and (=> @t2272 (= @t2414 (tptp.hAPP (tptp.hAPP @t1704 @t2274) (tptp.hAPP @t2413 (tptp.hAPP (tptp.hAPP @t864 @t2411) @t1615))))) (=> @t2273 (= @t2414 (tptp.hAPP @t2413 @t2411)))))))) % 6.51/6.70 (assume @p1678 (forall (@list @t13 @t2351 @t8) (= (tptp.c_Option_Ooption_Ooption__size @t8 @t2351 @t153) (tptp.hAPP @t2415 @t2095)))) % 6.51/6.70 (assume @p1679 (forall @t14 (=> @t1658 (=> @t2418 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2416) @t2105)) @t2217))))) % 6.51/6.70 (assume @p1680 (forall @t2419 (= (tptp.c_Com_Ocom_Ocom__size @t569) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1000 (tptp.c_Com_Ocom_Ocom__size @t568)) (tptp.c_Com_Ocom_Ocom__size @t567))) @t2095)))) % 6.51/6.70 (assume @p1681 (forall @t954 (and (=> @t2422 @t2424) (=> (not @t2422) (= @t2421 @t2094))))) % 6.51/6.70 (assume @p1682 (forall @t1160 (tptp.hBOOL (tptp.hAPP @t2430 @t2426)))) % 6.51/6.70 (assume @p1683 (forall @t2404 (=> @t2432 (= (= @t2431 @t2408) @t1203)))) % 6.51/6.70 (assume @p1684 (forall @t2437 (=> @t2436 (=> @t2418 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t2435) @t2417)))))) % 6.51/6.70 (assume @p1685 (forall @t2439 (=> @t2436 (tptp.hBOOL (tptp.hAPP @t2438 @t2417))))) % 6.51/6.70 (assume @p1686 (forall (@list @t2440 @t210 @t132 @t8) (=> @t1575 (= (tptp.hAPP (tptp.hAPP @t2433 @t1762) @t2440) (tptp.hAPP @t2444 (tptp.hAPP @t2441 @t2440)))))) % 6.51/6.70 (assume @p1687 (forall @t1785 (= (tptp.hBOOL (tptp.hAPP @t2449 (tptp.hAPP @t2427 @t2446))) @t2445))) % 6.51/6.70 (assume @p1688 (forall @t1785 (= (= (tptp.hAPP @t2427 @t2447) @t2446) @t2445))) % 6.51/6.70 (assume @p1689 (forall @t1862 (= (tptp.hBOOL (tptp.hAPP @t2449 @t2450)) @t2145))) % 6.51/6.70 (assume @p1690 (= @t2451 @t2450)) % 6.51/6.70 (assume @p1691 (forall @t1862 (= (= @t2447 @t2450) @t2145))) % 6.51/6.70 (assume @p1692 (forall @t1216 (tptp.hBOOL (tptp.hAPP @t2430 @t2450)))) % 6.51/6.70 (assume @p1693 (forall @t1216 (not (tptp.hBOOL (tptp.hAPP @t2452 @t2428))))) % 6.51/6.70 (assume @p1694 (forall @t1825 (= (tptp.hAPP @t2425 @t1717) (tptp.hAPP @t2455 @t2426)))) % 6.51/6.70 (assume @p1695 (forall @t2461 (= @t2460 (exists @t2458 (= @t315 (tptp.hAPP @t2457 @t2456)))))) % 6.51/6.70 (assume @p1696 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP @t2462 @t2447)) @t1205))) % 6.51/6.70 (assume @p1697 (forall @t1220 (= (tptp.hAPP @t2464 @t1219) (tptp.hAPP (tptp.hAPP @t2466 @t2465) (tptp.hAPP @t2464 @t272))))) % 6.51/6.70 (assume @p1698 (forall (@list @t272 @t1153 @t1152) (= (tptp.hAPP @t2469 (tptp.hAPP (tptp.hAPP @t2454 @t2468) @t272)) (tptp.hAPP (tptp.hAPP @t2454 @t2467) @t272)))) % 6.51/6.70 (assume @p1699 (forall @t1156 (= (tptp.hAPP @t2469 @t2468) @t2467))) % 6.51/6.70 (assume @p1700 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2446) @t2447)) @t1208))) % 6.51/6.70 (assume @p1701 (forall @t2473 (=> @t1575 (= (tptp.hAPP (tptp.hAPP @t2433 @t2472) @t2440) (tptp.hAPP @t2442 (tptp.hAPP @t2471 @t2440)))))) % 6.51/6.70 (assume @p1702 (forall @t1220 (= (tptp.hAPP (tptp.hAPP @t2463 @t2465) @t272) (tptp.hAPP @t2464 (tptp.hAPP (tptp.hAPP @t1721 @t210) @t272))))) % 6.51/6.70 (assume @p1703 (forall @t1156 (= @t2475 @t2474))) % 6.51/6.70 (assume @p1704 (forall @t1156 (= @t2474 @t2475))) % 6.51/6.70 (assume @p1705 (forall @t134 (=> @t1575 (= (tptp.hAPP @t2442 @t1615) @t132)))) % 6.51/6.70 (assume @p1706 (= @t2476 @t2453)) % 6.51/6.70 (assume @p1707 (forall @t2066 (= (tptp.hAPP @t2425 @t863) @t2479))) % 6.51/6.70 (assume @p1708 (forall @t2066 (= (tptp.hAPP @t2425 @t2482) @t2481))) % 6.51/6.70 (assume @p1709 (forall @t2485 (=> @t1575 (= @t2484 @t2483)))) % 6.51/6.70 (assume @p1710 (forall @t2485 (=> @t1575 (= @t2483 @t2484)))) % 6.51/6.70 (assume @p1711 (forall @t2485 (=> @t1575 (= (tptp.hAPP @t2444 @t132) @t2484)))) % 6.51/6.70 (assume @p1712 (forall @t134 (=> @t1575 (= (tptp.hAPP @t2442 @t2094) @t1625)))) % 6.51/6.70 (assume @p1713 (forall @t2473 (=> @t1575 (= (tptp.hAPP (tptp.hAPP @t1725 @t2472) @t2443) (tptp.hAPP @t2442 (tptp.hAPP (tptp.hAPP @t1000 @t2470) @t2440)))))) % 6.51/6.70 (assume @p1714 (= (tptp.hAPP @t2425 @t2095) @t2453)) % 6.51/6.70 (assume @p1715 (forall @t1862 (= (tptp.hBOOL (tptp.hAPP @t2486 @t2447)) @t2144))) % 6.51/6.70 (assume @p1716 (forall @t1169 (=> @t2490 (=> @t2264 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 (tptp.hAPP @t2488 @t1165)) (tptp.hAPP @t2488 @t1162))))))) % 6.51/6.70 (assume @p1717 (forall @t2492 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t2177 @t2491))))) % 6.51/6.70 (assume @p1718 (forall @t1849 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t2177 @t2493))))) % 6.51/6.70 (assume @p1719 (forall @t1160 (=> @t1212 (= (tptp.hAPP (tptp.hAPP @t2494 @t2426) @t2468) (tptp.hAPP @t2425 @t1171))))) % 6.51/6.70 (assume @p1720 (forall @t1849 (=> @t1645 (not (tptp.hBOOL (tptp.hAPP @t2495 @t2105)))))) % 6.51/6.70 (assume @p1721 (forall @t365 (=> @t2496 (= (tptp.hAPP @t2407 @t2094) @t2105)))) % 6.51/6.70 (assume @p1722 (forall @t2404 (=> @t1645 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2431) @t2408)) @t1205)))) % 6.51/6.70 (assume @p1723 (forall @t1837 (=> @t1645 (=> @t1201 @t2497)))) % 6.51/6.70 (assume @p1724 (forall @t1837 (=> @t1645 (=> @t2497 @t1201)))) % 6.51/6.70 (assume @p1725 (forall @t2404 (=> @t1645 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2431) @t2408)) @t1208)))) % 6.51/6.70 (assume @p1726 (forall @t1837 (=> @t2496 (= (tptp.hAPP @t2407 @t1155) (tptp.hAPP (tptp.hAPP @t928 @t2493) @t2491))))) % 6.51/6.70 (assume @p1727 (forall @t1837 (=> @t2496 (= (tptp.hAPP @t2407 @t1739) (tptp.hAPP (tptp.hAPP @t1725 @t2493) @t2491))))) % 6.51/6.70 (assume @p1728 (forall @t365 (=> @t2496 (= (tptp.hAPP @t2407 @t1615) @t1625)))) % 6.51/6.70 (assume @p1729 (forall @t86 (=> @t2496 (= (tptp.hAPP @t2407 (tptp.hAPP (tptp.hAPP @t1659 @t2) @t51)) (tptp.hAPP (tptp.hAPP @t776 @t2498) @t51))))) % 6.51/6.70 (assume @p1730 (forall @t365 (=> @t2436 (tptp.hBOOL (tptp.hAPP @t2499 @t2417))))) % 6.51/6.70 (assume @p1731 (forall @t114 (=> @t2436 (=> @t2418 (=> @t2501 (tptp.hBOOL (tptp.hAPP @t2500 @t2417))))))) % 6.51/6.70 (assume @p1732 (forall @t114 (=> @t2436 (=> @t2418 (=> @t2501 (tptp.hBOOL (tptp.hAPP @t2502 @t2417))))))) % 6.51/6.70 (assume @p1733 (forall @t114 (=> @t2436 (=> @t2418 (=> @t2501 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t599) @t2417))))))) % 6.51/6.70 (assume @p1734 (forall @t365 (=> @t2436 (tptp.hBOOL (tptp.hAPP @t2503 @t2417))))) % 6.51/6.70 (assume @p1735 (forall @t14 (=> @t2436 (=> @t2418 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t1314) @t2417)))))) % 6.51/6.70 (assume @p1736 (forall @t86 (=> (and @t1791 @t2496) (= (tptp.hAPP @t2407 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t47 tptp.tc_Nat_Onat) @t2) @t51)) (tptp.hAPP (tptp.hAPP @t2149 @t2498) @t51))))) % 6.51/6.70 (assume @p1737 (forall @t1849 (=> @t2496 (= (tptp.hAPP @t2407 @t1717) (tptp.hAPP @t1845 @t2493))))) % 6.51/6.70 (assume @p1738 (forall (@list @t1152 @t1153 @t8) (=> @t2436 (=> @t1212 (= (tptp.hAPP @t2407 @t1171) (tptp.hAPP (tptp.hAPP @t557 @t2493) @t2491)))))) % 6.51/6.70 (assume @p1739 (forall (@list @t64 @t51 @t8 @t47) (=> @t1712 (=> @t363 (= (tptp.hAPP (tptp.hAPP @t2097 (tptp.hAPP @t52 @t64)) @t51) (tptp.hAPP (tptp.hAPP @t2412 @t64) @t1386)))))) % 6.51/6.70 (assume @p1740 (forall @t2504 (= (tptp.c_Option_Ooption_Ooption__size @t8 @t2351 @t983) @t2094))) % 6.51/6.70 (assume @p1741 (forall @t2507 (= (tptp.c_Com_Ocom_Ocom__size @t2506) @t2094))) % 6.51/6.70 (assume @p1742 (forall (@list @t51 @t64 @t47 @t8) (=> @t2496 (= (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP @t2162 @t64)) @t51) (tptp.hAPP (tptp.hAPP @t1725 (tptp.hAPP @t2407 @t2508)) @t64))))) % 6.51/6.70 (assume @p1743 (forall @t2509 (= (tptp.c_Com_Ocom_Ocom__size @t243) @t2094))) % 6.51/6.70 (assume @p1744 (= (tptp.c_Com_Ocom_Ocom__size tptp.c_Com_Ocom_OSKIP) @t2094)) % 6.51/6.70 (assume @p1745 (forall (@list @t2470 @t1152) (and (=> @t2266 (= @t2512 @t1615)) (=> @t2347 (= @t2512 (tptp.hAPP @t2471 (tptp.hAPP @t2511 @t1902))))))) % 6.51/6.70 (assume @p1746 (forall @t2439 (=> @t1645 (= (tptp.hBOOL (tptp.hAPP @t2212 @t2408)) @t2144)))) % 6.51/6.70 (assume @p1747 (forall @t14 (=> @t2513 (=> @t2418 @t2369)))) % 6.51/6.70 (assume @p1748 (forall @t1083 (=> @t2514 @t367))) % 6.51/6.70 (assume @p1749 (forall @t1083 (=> @t2514 @t363))) % 6.51/6.70 (assume @p1750 (forall @t954 (=> @t363 (=> @t367 @t2514)))) % 6.51/6.70 (assume @p1751 (forall @t1083 (= @t2514 @t2422))) % 6.51/6.70 (assume @p1752 (forall @t954 (=> @t363 (=> @t367 @t2424)))) % 6.51/6.70 (assume @p1753 (forall @t14 (=> @t2513 (=> @t2418 (not (= @t2416 @t2105)))))) % 6.51/6.70 (assume @p1754 (forall @t2516 (= (tptp.c_Com_Ocom_Ocom__size @t547) @t2515))) % 6.51/6.70 (assume @p1755 (forall @t2523 (=> @t1645 (=> @t645 (=> @t2180 (=> @t2141 @t2522)))))) % 6.51/6.70 (assume @p1756 (forall @t2525 (=> @t1645 (=> @t2524 (=> @t2141 (tptp.hBOOL (tptp.hAPP @t1836 @t2520))))))) % 6.51/6.70 (assume @p1757 (forall @t2527 (=> @t1645 (=> @t2524 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2526) @t2520)) @t1197))))) % 6.51/6.70 (assume @p1758 (forall @t2533 (=> @t1645 (=> @t2532 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2531) @t2530)) @t2528))))) % 6.51/6.70 (assume @p1759 (forall @t2537 (=> @t1645 (=> @t2536 (=> @t2180 (=> (tptp.hBOOL (tptp.hAPP @t256 @t1625)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2535) @t2520)))))))) % 6.51/6.70 (assume @p1760 (forall @t1160 (tptp.hBOOL (tptp.hAPP @t2539 @t2426)))) % 6.51/6.70 (assume @p1761 (forall @t1160 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2468) (tptp.hAPP @t2427 @t2426)))))) % 6.51/6.70 (assume @p1762 (forall @t2461 (= @t2542 (exists @t2458 (= @t315 (tptp.hAPP @t2457 @t2540)))))) % 6.51/6.70 (assume @p1763 (forall @t1156 (= @t2545 @t2543))) % 6.51/6.70 (assume @p1764 (forall @t1156 (= @t2543 @t2545))) % 6.51/6.70 (assume @p1765 (forall @t1209 (= (= @t2446 @t2447) @t1203))) % 6.51/6.70 (assume @p1766 (forall @t2546 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2487) @t2450))))) % 6.51/6.70 (assume @p1767 (forall @t1216 (tptp.hBOOL (tptp.hAPP @t2452 @t2468)))) % 6.51/6.70 (assume @p1768 (forall @t1216 (tptp.hBOOL (tptp.hAPP @t2539 @t2450)))) % 6.51/6.70 (assume @p1769 (forall @t2549 (=> @t2548 (tptp.hBOOL (tptp.hAPP @t2486 @t2547))))) % 6.51/6.70 (assume @p1770 (forall @t2552 (= (tptp.hBOOL (tptp.hAPP @t2551 @t315)) @t2550))) % 6.51/6.70 (assume @p1771 (not (= @t2450 @t2453))) % 6.51/6.70 (assume @p1772 (forall @t2549 (not (= (tptp.hAPP (tptp.hAPP @t2454 @t2547) @t272) @t2450)))) % 6.51/6.70 (assume @p1773 (forall @t2552 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2455 @t315)) @t315)) @t2450)) @t2554))) % 6.51/6.70 (assume @p1774 (tptp.hBOOL (tptp.hAPP @t2486 @t2453))) % 6.51/6.70 (assume @p1775 (= (tptp.hAPP @t2427 @t2450) @t2450)) % 6.51/6.70 (assume @p1776 (forall @t2549 (= (tptp.hAPP @t2556 @t272) @t2450))) % 6.51/6.70 (assume @p1777 (forall @t2549 (= (tptp.hAPP (tptp.hAPP @t2454 @t2450) @t272) @t272))) % 6.51/6.70 (assume @p1778 (forall @t2549 (= (tptp.hAPP @t2557 @t2450) @t272))) % 6.51/6.70 (assume @p1779 (forall @t2561 (= @t2560 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2558) @t2450))))) % 6.51/6.70 (assume @p1780 (forall @t1209 (=> (tptp.hBOOL (tptp.hAPP @t2486 @t337)) (= @t2563 @t2562)))) % 6.51/6.70 (assume @p1781 (forall @t1169 (=> @t2490 (=> @t2565 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 (tptp.hAPP @t2564 @t1165)) (tptp.hAPP @t2564 @t1162))))))) % 6.51/6.70 (assume @p1782 (forall @t2575 (= (tptp.hAPP (tptp.hAPP @t2466 @t2574) @t2566) (tptp.hAPP (tptp.hAPP @t2454 @t2572) @t2569)))) % 6.51/6.70 (assume @p1783 (forall @t2579 (= (tptp.hAPP @t2576 @t2574) (tptp.hAPP (tptp.hAPP @t2454 @t2578) @t2577)))) % 6.51/6.70 (assume @p1784 (forall @t2581 (= (tptp.hAPP (tptp.hAPP @t2466 (tptp.hAPP @t2571 @t2567)) @t2580) (tptp.hAPP @t2571 (tptp.hAPP @t2568 @t2580))))) % 6.51/6.70 (assume @p1785 (forall @t2585 (= @t2584 @t2582))) % 6.51/6.70 (assume @p1786 (forall @t2579 (= (tptp.hAPP @t2576 @t2586) (tptp.hAPP (tptp.hAPP @t2494 @t2578) @t2577)))) % 6.51/6.70 (assume @p1787 (forall @t2575 (= (tptp.hAPP (tptp.hAPP @t2466 @t2586) @t2566) (tptp.hAPP (tptp.hAPP @t2494 @t2572) @t2569)))) % 6.51/6.70 (assume @p1788 (forall @t2585 (= (tptp.hAPP (tptp.hAPP @t2466 @t2555) @t2566) (tptp.hAPP @t2427 @t2584)))) % 6.51/6.70 (assume @p1789 (forall @t2549 (= (tptp.hAPP @t2583 @t2453) @t272))) % 6.51/6.70 (assume @p1790 (forall @t2549 (= (tptp.hAPP (tptp.hAPP @t2466 @t2453) @t272) @t272))) % 6.51/6.70 (assume @p1791 (forall @t1311 (or (tptp.hBOOL (tptp.hAPP @t2588 @t210)) @t244 (tptp.hBOOL (tptp.hAPP @t2587 @t132))))) % 6.51/6.70 (assume @p1792 (forall @t1169 (=> @t2490 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 (tptp.hAPP @t2589 @t1161)) (tptp.hAPP (tptp.hAPP @t2454 @t1162) @t1161)))))) % 6.51/6.70 (assume @p1793 (forall @t2581 (= (tptp.hAPP (tptp.hAPP @t2454 @t2574) @t2580) (tptp.hAPP @t2573 (tptp.hAPP (tptp.hAPP @t2454 @t2567) @t2580))))) % 6.51/6.70 (assume @p1794 (forall @t1220 (= (tptp.hAPP @t2590 (tptp.hAPP @t2591 @t272)) (tptp.hAPP @t2591 (tptp.hAPP @t2590 @t272))))) % 6.51/6.70 (assume @p1795 (forall @t2585 (= @t2594 @t2593))) % 6.51/6.70 (assume @p1796 (forall @t1169 (=> @t2597 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 (tptp.hAPP @t2595 @t1165)) (tptp.hAPP @t2595 @t1162)))))) % 6.51/6.70 (assume @p1797 (forall @t2585 (=> @t2601 (=> @t2599 (= @t272 @t2566))))) % 6.51/6.70 (assume @p1798 (forall @t1169 (=> @t2597 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t1162) @t1161)) (tptp.hBOOL (tptp.hAPP @t2596 @t1161)))))) % 6.51/6.70 (assume @p1799 (forall @t2585 (or @t2601 @t2599))) % 6.51/6.70 (assume @p1800 (forall @t2602 (tptp.hBOOL (tptp.hAPP @t2598 @t2566)))) % 6.51/6.70 (assume @p1801 (forall @t2585 (= (tptp.hAPP @t2427 @t2594) (tptp.hAPP @t2556 @t2603)))) % 6.51/6.70 (assume @p1802 (forall @t2585 (= @t2606 @t2605))) % 6.51/6.70 (assume @p1803 (forall @t2585 (= @t2605 @t2606))) % 6.51/6.70 (assume @p1804 (forall @t2549 (= (tptp.hAPP @t2427 @t2555) @t272))) % 6.51/6.70 (assume @p1805 (forall @t2608 (= (tptp.hBOOL (tptp.hAPP @t2553 @t1773)) (and (tptp.hBOOL (tptp.hAPP @t2607 @t1773)) (not (= @t315 @t1773)))))) % 6.51/6.70 (assume @p1806 (forall (@list @t272 @t2609 @t2566 @t2610) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2610) @t2566)) (=> @t2611 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 (tptp.hAPP (tptp.hAPP @t2454 @t2610) @t2609)) @t2593)))))) % 6.51/6.70 (assume @p1807 (forall @t2461 (= @t2613 (or @t2460 @t2612)))) % 6.51/6.70 (assume @p1808 (forall @t2461 (= (tptp.hBOOL (tptp.hAPP @t2541 (tptp.hAPP @t2614 @t2453))) @t2460))) % 6.51/6.70 (assume @p1809 (forall @t2461 (= @t2613 @t2542))) % 6.51/6.70 (assume @p1810 (forall @t2461 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 (tptp.hAPP @t2457 @t2453)) @t315)) @t2460))) % 6.51/6.70 (assume @p1811 (forall @t2615 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2566) @t272)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 (tptp.hAPP @t2592 @t2453)) @t272))))) % 6.51/6.70 (assume @p1812 (forall @t2525 (=> @t1855 (=> @t2131 (not (= @t2520 @t2105)))))) % 6.51/6.70 (assume @p1813 (forall (@list @t337 @t61) (= (= (tptp.hAPP @t2616 @t337) @t2095) (or @t2147 (= @t61 @t2095))))) % 6.51/6.70 (assume @p1814 (forall @t1216 (= (tptp.hAPP (tptp.hAPP @t2510 @t2095) @t1153) @t2095))) % 6.51/6.70 (assume @p1815 (forall @t2619 (=> (tptp.hBOOL (tptp.hAPP @t2103 @t1165)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 (tptp.hAPP @t2617 @t1152)) @t2618)) @t1201)))) % 6.51/6.70 (assume @p1816 (forall @t2620 (= (tptp.hBOOL (tptp.hAPP @t2103 (tptp.hAPP @t2616 @t692))) (or (tptp.hBOOL (tptp.hAPP @t2103 @t61)) @t2145)))) % 6.51/6.70 (assume @p1817 (forall @t2525 (=> @t1790 (= @t2623 @t2621)))) % 6.51/6.70 (assume @p1818 (forall @t2523 (=> @t1791 (= (tptp.hAPP (tptp.hAPP @t2433 @t1731) @t1153) (tptp.hAPP @t2622 @t2518))))) % 6.51/6.70 (assume @p1819 (forall @t2492 (=> @t1790 (= (tptp.hAPP @t2624 @t1153) @t1625)))) % 6.51/6.70 (assume @p1820 (forall @t1837 (=> @t2496 (= (tptp.hAPP @t2407 @t2544) (tptp.hAPP (tptp.hAPP @t2433 @t2493) @t1153))))) % 6.51/6.70 (assume @p1821 (forall @t2527 (=> @t1790 (= (tptp.hAPP @t2519 @t1739) (tptp.hAPP (tptp.hAPP @t2433 @t2526) @t1153))))) % 6.51/6.70 (assume @p1822 (forall @t405 (=> @t1790 (= (tptp.hAPP @t2519 @t1615) @t255)))) % 6.51/6.70 (assume @p1823 (forall @t2525 (=> @t1645 (=> @t2180 (tptp.hBOOL (tptp.hAPP @t2177 @t2520)))))) % 6.51/6.70 (assume @p1824 (forall @t2523 (=> @t1645 (=> @t269 (=> @t2180 (tptp.hBOOL (tptp.hAPP @t2625 @t2518))))))) % 6.51/6.70 (assume @p1825 (forall @t2525 (=> @t1645 (=> @t2216 (tptp.hBOOL (tptp.hAPP @t2212 @t2520)))))) % 6.51/6.70 (assume @p1826 (forall @t2437 (=> (and @t2626 @t2135 @t2129 @t2138) (= (= @t2435 @t2105) (and @t2122 @t2146))))) % 6.51/6.70 (assume @p1827 (forall @t2525 (=> @t1645 (=> @t2627 (tptp.hBOOL (tptp.hAPP @t2244 @t2520)))))) % 6.51/6.70 (assume @p1828 (forall @t2492 (=> @t2629 (= (tptp.hAPP @t2628 @t1716) @t2105)))) % 6.51/6.70 (assume @p1829 (forall (@list @t692 @t337 @t13 @t8) (=> @t1645 (=> (tptp.hBOOL (tptp.hAPP @t1836 @t13)) (= (= (tptp.hAPP @t2434 @t337) @t2435) @t1203))))) % 6.51/6.70 (assume @p1830 (forall @t2525 (=> @t2626 (= @t2630 @t2621)))) % 6.51/6.70 (assume @p1831 (forall @t2525 (=> @t1790 (= @t2630 @t2623)))) % 6.51/6.70 (assume @p1832 (forall @t1269 (=> (tptp.hBOOL (tptp.hAPP @t2309 @t1165)) (tptp.hBOOL (tptp.hAPP @t2309 @t2618))))) % 6.51/6.70 (assume @p1833 (forall @t405 (=> @t2626 (= (tptp.hAPP @t2519 @t2094) @t1625)))) % 6.51/6.70 (assume @p1834 (forall @t2527 (=> @t1790 (= (tptp.hAPP @t2519 @t1155) (tptp.hAPP (tptp.hAPP @t1725 @t2526) @t2520))))) % 6.51/6.70 (assume @p1835 (forall @t2631 (=> @t1645 (=> @t2522 (=> @t2185 @t645))))) % 6.51/6.70 (assume @p1836 (forall @t2631 (=> @t1645 (=> (= @t2630 @t2632) (=> @t2180 (=> @t2185 @t260)))))) % 6.51/6.70 (assume @p1837 (forall @t2631 (=> @t1645 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2630) @t2632)) (=> @t2185 @t269))))) % 6.51/6.70 (assume @p1838 (forall @t2525 (=> @t1645 (=> @t2524 (tptp.hBOOL (tptp.hAPP @t2521 @t2621)))))) % 6.51/6.70 (assume @p1839 (forall @t2525 (=> @t1645 (=> @t2524 (tptp.hBOOL (tptp.hAPP @t1836 @t2621)))))) % 6.51/6.70 (assume @p1840 (forall @t2492 (=> @t2629 (and (=> @t2142 (= @t2633 @t1625)) (=> @t2143 (= @t2633 @t2105)))))) % 6.51/6.70 (assume @p1841 (forall @t2525 (=> @t1645 (=> @t2524 (tptp.hBOOL (tptp.hAPP @t1836 @t2630)))))) % 6.51/6.70 (assume @p1842 (forall @t2537 (=> @t1645 (=> @t2634 (=> @t2524 (tptp.hBOOL (tptp.hAPP @t2521 @t2535))))))) % 6.51/6.70 (assume @p1843 (forall @t2527 (=> @t1645 (=> @t2524 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2526) @t2520)) @t1201))))) % 6.51/6.70 (assume @p1844 (forall @t2533 (=> @t1645 (=> @t2532 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2531) @t2530)) @t2635))))) % 6.51/6.70 (assume @p1845 (forall @t2537 (=> @t1645 (=> @t2536 (=> @t2627 (tptp.hBOOL (tptp.hAPP @t2625 @t2535))))))) % 6.51/6.70 (assume @p1846 (forall @t2525 (=> @t2436 (= @t2638 (tptp.hAPP (tptp.hAPP @t1725 (tptp.hAPP @t2636 @t1153)) @t2520))))) % 6.51/6.70 (assume @p1847 (forall @t2525 (=> @t1645 (=> @t2216 (=> @t2639 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2621) @t2520))))))) % 6.51/6.70 (assume @p1848 (forall @t2631 (=> @t1645 (=> (= @t2520 @t2518) (=> @t2180 (=> @t2185 (=> @t2141 @t260))))))) % 6.51/6.70 (assume @p1849 (forall @t2525 (=> @t1645 (=> @t2216 (=> @t2639 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2630) @t1625))))))) % 6.51/6.70 (assume @p1850 (forall @t2537 (=> @t1645 (=> @t2634 (=> @t2216 (=> @t2639 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2535) @t2520)))))))) % 6.51/6.70 (assume @p1851 (forall (@list @t64 @t61 @t136) (= (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t2425 @t2645))) (and (=> (tptp.hBOOL (tptp.hAPP @t2643 @t61)) (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t2494 @t2642) @t2641)))) (=> @t2635 @t2640))))) % 6.51/6.70 (assume @p1852 (forall @t2651 (=> @t2650 (=> @t2649 (=> (tptp.hBOOL (tptp.hAPP @t2646 @t255)) (tptp.hBOOL (tptp.hAPP @t2551 @t2440))))))) % 6.51/6.70 (assume @p1853 (forall @t2651 (=> @t2650 (=> @t2649 (=> @t2653 (tptp.hBOOL (tptp.hAPP @t2652 @t2453))))))) % 6.51/6.70 (assume @p1854 (forall @t2668 (=> @t2667 (=> @t2664 (=> @t2662 (=> @t2661 (=> @t2659 (=> @t2658 @t2656)))))))) % 6.51/6.70 (assume @p1855 (forall @t2674 (=> @t2673 (=> @t2672 (=> @t2671 (=> (tptp.hBOOL (tptp.hAPP @t2670 @t2660)) @t2669)))))) % 6.51/6.70 (assume @p1856 (forall @t2678 (=> @t2677 (=> @t2676 (=> @t2659 (tptp.hBOOL (tptp.hAPP @t2452 @t2654))))))) % 6.51/6.70 (assume @p1857 (forall @t2678 (=> @t2664 (=> @t2661 (=> @t2659 (tptp.hBOOL (tptp.hAPP @t2655 @t2450))))))) % 6.51/6.70 (assume @p1858 (forall @t2674 (=> @t2673 (=> @t2661 (=> (tptp.hBOOL (tptp.hAPP @t2675 @t38)) (=> @t2662 @t2656)))))) % 6.51/6.70 (assume @p1859 (forall @t2668 (=> @t2667 (=> @t2677 (=> @t2676 (=> @t2653 (=> @t2659 (=> @t2658 @t2669)))))))) % 6.51/6.70 (assume @p1860 (forall @t2686 (= @t2685 (tptp.hAPP @t2679 (tptp.hAPP @t1426 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t136) @t2425)))))) % 6.51/6.70 (assume @p1861 (forall @t997 (= (tptp.c_Sum__Type_OPlus @t8 @t47 @t1407 @t1455) @t1464))) % 6.51/6.70 (assume @p1862 (forall @t2688 (= (tptp.hAPP (tptp.hAPP @t2463 @t2687) @t1153) (tptp.hAPP @t2425 (tptp.hAPP (tptp.hAPP @t2510 @t132) @t1153))))) % 6.51/6.70 (assume @p1863 (forall @t2688 (=> @t2690 (tptp.hBOOL (tptp.hAPP @t2452 @t2689))))) % 6.51/6.70 (assume @p1864 (forall @t2439 (=> @t2496 (= @t2408 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 (tptp.hAPP (tptp.hAPP @t2691 @t928) @t1625) @t692 @t2105))))) % 6.51/6.70 (assume @p1865 (forall (@list @t1034 @t2692 @t8) (=> @t2496 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2692 @t2094 @t1034) @t1034)))) % 6.51/6.70 (assume @p1866 (forall (@list @t1034 @t692 @t2692 @t8) (=> @t2496 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2692 @t1780 @t1034) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2692 @t692 (tptp.hAPP @t2692 @t1034)))))) % 6.51/6.70 (assume @p1867 (forall @t2698 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2697 @t51) @t77)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2696 @t2694) @t2693))))) % 6.51/6.70 (assume @p1868 (forall @t2698 (= @t168 (= @t2694 @t2693)))) % 6.51/6.70 (assume @p1869 (forall @t2698 (= (tptp.hBOOL (tptp.hAPP @t2701 @t77)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2699 @t2694) @t2693))))) % 6.51/6.70 (assume @p1870 (forall @t2702 (= (= @t2642 @t2641) @t222))) % 6.51/6.70 (assume @p1871 (tptp.hBOOL (tptp.hAPP @t2452 @t2450))) % 6.51/6.70 (assume @p1872 (forall @t2705 (= (tptp.hBOOL (tptp.hAPP @t2704 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2703 @t2642) @t2694))))) % 6.51/6.70 (assume @p1873 (= @t2706 (tptp.hAPP @t2679 @t2388))) % 6.51/6.70 (assume @p1874 (forall @t1083 (= (= @t2420 (tptp.c_Orderings_Obot__class_Obot @t1463)) (and @t57 @t2707)))) % 6.51/6.70 (assume @p1875 (forall @t2710 (= @t2709 (tptp.hAPP @t2708 @t2694)))) % 6.51/6.70 (assume @p1876 (forall @t2710 (= (tptp.hBOOL (tptp.hAPP @t1427 @t51)) (tptp.hBOOL (tptp.hAPP @t2711 @t2694))))) % 6.51/6.70 (assume @p1877 (= @t2450 @t2451)) % 6.51/6.70 (assume @p1878 (forall @t1311 (=> @t2690 (=> @t2713 (tptp.hBOOL (tptp.hAPP @t2452 @t2712)))))) % 6.51/6.70 (assume @p1879 (forall @t2686 (= (forall @t7 (=> @t2715 @t231)) (forall @t7 @t2714)))) % 6.51/6.70 (assume @p1880 (forall @t2686 (= (exists @t7 (and @t2715 @t231)) (exists @t7 @t2714)))) % 6.51/6.70 (assume @p1881 (forall @t2549 (tptp.hBOOL (tptp.hAPP @t2452 @t2716)))) % 6.51/6.70 (assume @p1882 (tptp.hBOOL (tptp.hAPP @t2452 @t2453))) % 6.51/6.70 (assume @p1883 (forall @t1311 (=> @t2690 (=> @t2713 (tptp.hBOOL (tptp.hAPP @t2452 @t2717)))))) % 6.51/6.70 (assume @p1884 (forall @t2702 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2642) @t2641)) @t2635))) % 6.51/6.70 (assume @p1885 (forall @t2702 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2642) @t2641)) @t2528))) % 6.51/6.70 (assume @p1886 (forall @t1311 (= (tptp.hAPP (tptp.hAPP @t2454 @t2687) @t2718) (tptp.hAPP @t2425 (tptp.hAPP @t1217 @t210))))) % 6.51/6.70 (assume @p1887 (forall @t1311 (= (tptp.hAPP (tptp.hAPP @t2466 @t2687) @t2718) (tptp.hAPP @t2425 @t2719)))) % 6.51/6.70 (assume @p1888 (= @t2453 @t2476)) % 6.51/6.70 (assume @p1889 (forall @t2722 (= (tptp.c_Nat_Onat_Onat__size @t2721) (tptp.hAPP (tptp.hAPP @t1000 (tptp.c_Nat_Onat_Onat__size @t2720)) @t2095)))) % 6.51/6.70 (assume @p1890 (forall @t365 (=> @t2626 (= @t2433 (tptp.c_Power_Opower_Opower @t8 @t1625 @t1725))))) % 6.51/6.70 (assume @p1891 (forall @t2722 (= (tptp.hAPP @t2723 @t2721) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t2723 @t2720)) @t2095)))) % 6.51/6.70 (assume @p1892 (forall (@list @t2 @t1034 @t116) @t2732)) % 6.51/6.70 (assume @p1893 (forall (@list @t2733 @t2 @t51 @t8 @t47) (=> (and @t2383 (tptp.class_Rings_Osemiring__1 @t47)) (=> (forall @t2737 (=> (tptp.hBOOL (tptp.hAPP @t2736 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t201 @t2735) @t2733)))) (tptp.hBOOL (tptp.hAPP @t2354 (tptp.hAPP (tptp.hAPP @t1704 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t47) @t1386)) @t2733))))))) % 6.51/6.70 (assume @p1894 (not (tptp.hBOOL (tptp.hAPP @t2711 (tptp.c_Orderings_Otop__class_Otop @t2695))))) % 6.51/6.70 (assume @p1895 (forall @t1216 (= (tptp.hAPP @t2723 @t1153) @t1153))) % 6.51/6.70 (assume @p1896 (= (tptp.hAPP @t2723 @t2094) @t2094)) % 6.51/6.70 (assume @p1897 (forall (@list @t13 @t2739 @t2738 @t8) (= (tptp.hAPP @t2740 @t2094) @t2738))) % 6.51/6.70 (assume @p1898 (forall (@list @t692 @t13 @t2739 @t2738 @t8) (= (tptp.hAPP @t2740 @t1780) (tptp.hAPP (tptp.hAPP @t2739 @t13) (tptp.hAPP @t2740 @t692))))) % 6.51/6.70 (assume @p1899 (= (tptp.c_Nat_Onat_Onat__size @t2094) @t2094)) % 6.51/6.70 (assume @p1900 (forall @t2747 (and @t2746 (=> (not @t2743) (= @t2741 @t2450))))) % 6.51/6.70 (assume @p1901 (forall @t405 (= (tptp.hAPP @t2748 (tptp.hAPP @t65 @t255)) @t2094))) % 6.51/6.70 (assume @p1902 (forall @t365 (= (tptp.hAPP @t2748 @t983) @t2094))) % 6.51/6.70 (assume @p1903 (forall (@list @t61 @t64 @t18) (and (=> @t2752 (= @t2750 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t2644 @t18)) (tptp.hAPP (tptp.hAPP @t864 @t64) @t18)))) (=> (not @t2752) (and (=> @t2635 (= @t2750 @t2751)) (=> (not @t2635) (= @t2750 @t2388))))))) % 6.51/6.70 (assume @p1904 (forall @t2755 (=> @t2259 (=> @t2565 (= (tptp.hAPP (tptp.hAPP @t2754 (tptp.hAPP @t2753 @t1152)) @t1161) (tptp.hAPP @t2753 (tptp.hAPP @t1170 @t2095))))))) % 6.51/6.70 (assume @p1905 (forall @t2758 (tptp.hBOOL (tptp.hAPP @t1427 @t2757)))) % 6.51/6.70 (assume @p1906 (forall @t2759 (= (tptp.hAPP (tptp.hAPP @t2754 @t2450) @t38) @t2450))) % 6.51/6.70 (assume @p1907 (forall @t2766 (= @t2765 @t2762))) % 6.51/6.70 (assume @p1908 (forall @t2766 (= (tptp.hAPP @t2761 @t2763) @t2767))) % 6.51/6.70 (assume @p1909 (forall @t405 (=> @t2770 (= (tptp.hAPP @t2769 @t2105) @t2105)))) % 6.51/6.70 (assume @p1910 (forall @t405 (=> @t2770 (= (tptp.hAPP (tptp.hAPP @t2768 @t2105) @t255) @t2105)))) % 6.51/6.70 (assume @p1911 (forall @t405 (=> @t2770 (= (tptp.hAPP @t2769 @t1625) @t255)))) % 6.51/6.70 (assume @p1912 (forall @t122 (=> @t214 (=> @t2773 (=> @t673 (=> @t671 @t117)))))) % 6.51/6.70 (assume @p1913 (forall @t122 (=> @t214 (=> @t2773 (=> @t673 (=> @t671 @t118)))))) % 6.51/6.70 (assume @p1914 (forall @t122 (=> @t214 (=> @t673 (=> @t671 (= @t2773 @t119)))))) % 6.51/6.70 (assume @p1915 (forall @t1311 (=> @t2690 (=> @t2713 (tptp.hBOOL (tptp.hAPP @t2452 @t2775)))))) % 6.51/6.70 (assume @p1916 (forall @t2766 (=> @t2778 (=> @t2776 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2767) @t2450)))))) % 6.51/6.70 (assume @p1917 (forall @t2784 (=> @t2783 (= @t2781 (tptp.hBOOL (tptp.hAPP @t2486 @t13)))))) % 6.51/6.70 (assume @p1918 (forall @t2784 (=> @t2787 (= @t2781 (tptp.hBOOL (tptp.hAPP @t2785 @t2450)))))) % 6.51/6.70 (assume @p1919 (forall @t1271 (=> @t1280 (= (tptp.hAPP @t2790 @t2789) (tptp.hAPP (tptp.hAPP @t2792 @t2791) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1190) @t2789)))))) % 6.51/6.70 (assume @p1920 (forall @t2795 (=> @t2794 (= (tptp.hAPP @t2764 @t255) @t2453)))) % 6.51/6.70 (assume @p1921 (forall @t2797 (= (tptp.hAPP @t2796 @t2094) @t2388))) % 6.51/6.70 (assume @p1922 (forall @t1862 (= @t2799 @t2375))) % 6.51/6.70 (assume @p1923 (forall @t958 (=> @t2770 (and (=> @t2802 (= @t2801 @t2105)) @t2804)))) % 6.51/6.70 (assume @p1924 (forall @t646 (=> @t2770 (=> @t2130 (= (tptp.hAPP (tptp.hAPP @t2768 @t1731) @t38) @t255))))) % 6.51/6.70 (assume @p1925 (forall @t646 (=> @t2770 (=> @t2130 (= (tptp.hAPP (tptp.hAPP @t2768 @t1740) @t38) @t255))))) % 6.51/6.70 (assume @p1926 (forall @t958 (=> @t2770 (=> @t2803 (= (tptp.hAPP (tptp.hAPP @t2768 @t1757) @t1733) @t2800))))) % 6.51/6.70 (assume @p1927 (forall @t958 (=> @t2770 @t2804))) % 6.51/6.70 (assume @p1928 (forall @t405 (=> @t2770 (=> @t2131 (= (tptp.hAPP @t2769 @t255) @t1625))))) % 6.51/6.70 (assume @p1929 (forall @t2758 (= (tptp.hAPP @t2325 @t2757) @t2806))) % 6.51/6.70 (assume @p1930 (forall @t2808 (= (tptp.hAPP @t2394 @t2791) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2322) @t2807)))) % 6.51/6.70 (assume @p1931 (forall @t335 (=> @t223 (=> @t2285 @t2809)))) % 6.51/6.70 (assume @p1932 (forall @t114 (=> @t223 (= @t2809 @t2810)))) % 6.51/6.70 (assume @p1933 (forall @t114 (=> @t223 (= (= @t56 @t2772) @t2810)))) % 6.51/6.70 (assume @p1934 (forall @t122 (=> @t214 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2772) @t2771)) (or @t2285 @t2813))))) % 6.51/6.70 (assume @p1935 (forall @t2818 (=> @t784 (= (tptp.hAPP @t2399 (tptp.hAPP @t2817 @t1780)) (tptp.hAPP @t2816 @t2814))))) % 6.51/6.70 (assume @p1936 (forall @t2827 (=> @t214 (=> @t2826 (=> @t2824 (= (tptp.hAPP @t2823 @t2821) @t2820)))))) % 6.51/6.70 (assume @p1937 (forall @t2831 (=> @t784 (= (tptp.hAPP @t2399 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1229) @t1227)) (tptp.hAPP @t2830 @t2814))))) % 6.51/6.70 (assume @p1938 (forall (@list @t337 @t692 @t1034 @t8) (=> @t214 (=> (tptp.hBOOL (tptp.hAPP @t2833 @t692)) (= (tptp.hAPP (tptp.hAPP @t528 (tptp.hAPP @t2832 @t337)) (tptp.hAPP @t2832 @t692)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t692) @t337)))))) % 6.51/6.70 (assume @p1939 (forall @t2827 (=> @t223 (= (tptp.hAPP @t2834 @t2821) @t56)))) % 6.51/6.70 (assume @p1940 (forall @t2836 (= (tptp.hAPP @t2835 @t2791) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1189) @t2789)))) % 6.51/6.70 (assume @p1941 (forall @t2841 (=> @t2840 (=> @t2838 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2837) @t2767)))))) % 6.51/6.70 (assume @p1942 (forall @t2841 (=> @t2840 (=> @t2776 (tptp.hBOOL (tptp.hAPP @t2842 @t2837)))))) % 6.51/6.70 (assume @p1943 (forall @t2766 (=> @t2845 (=> @t2844 @t2843)))) % 6.51/6.70 (assume @p1944 (forall @t2847 (=> @t2778 (=> @t2659 (=> @t2658 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2846) @t2767))))))) % 6.51/6.70 (assume @p1945 (forall @t2766 (=> @t2845 (=> @t2776 @t2848)))) % 6.51/6.70 (assume @p1946 (forall @t2784 (=> @t2783 (= @t2849 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t13) @t2450)))))) % 6.51/6.70 (assume @p1947 (forall @t2766 (=> @t2851 (=> @t2850 @t2843)))) % 6.51/6.70 (assume @p1948 (forall @t2766 (=> @t2851 (=> @t2838 @t2848)))) % 6.51/6.70 (assume @p1949 (forall @t2847 (=> @t2851 (=> @t2659 (=> @t2658 (tptp.hBOOL (tptp.hAPP @t2842 @t2846))))))) % 6.51/6.70 (assume @p1950 (forall @t2854 (=> @t2853 (= (tptp.hBOOL (tptp.hAPP @t2486 @t2780)) (and (tptp.hBOOL (tptp.hAPP @t2852 @t13)) @t2787))))) % 6.51/6.70 (assume @p1951 (forall (@list @t1034 @t690) (=> @t2857 (= (tptp.hBOOL (tptp.hAPP @t2486 @t2856)) (tptp.hBOOL (tptp.hAPP @t2855 @t1034)))))) % 6.51/6.70 (assume @p1952 (forall @t2784 (=> @t2787 (= @t2849 @t2853)))) % 6.51/6.70 (assume @p1953 (forall (@list @t690 @t1034) (= (= @t2856 @t2450) (or @t2861 (and (tptp.hBOOL (tptp.hAPP @t2452 @t1034)) (tptp.hBOOL (tptp.hAPP @t2860 @t690))) (and @t2859 (tptp.hBOOL (tptp.hAPP @t2559 @t1034))))))) % 6.51/6.70 (assume @p1954 (forall (@list @t1161 @t132) (=> (tptp.hBOOL (tptp.hAPP @t2486 @t132)) (=> (tptp.hBOOL (tptp.hAPP @t2862 @t1161)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 (tptp.hAPP @t2774 @t1161)) @t132)))))) % 6.51/6.70 (assume @p1955 (forall @t2865 (=> @t2864 (= (tptp.hAPP @t2764 @t2863) (tptp.hAPP (tptp.hAPP @t2754 @t2767) @t254))))) % 6.51/6.70 (assume @p1956 (forall @t2872 (=> @t784 (=> @t1208 (=> @t2871 (= (tptp.hAPP @t2870 @t2868) @t2867)))))) % 6.51/6.70 (assume @p1957 (forall @t2872 (=> @t708 (=> @t1208 (=> @t2871 (= (tptp.hAPP (tptp.hAPP @t557 @t2867) @t2869) @t2868)))))) % 6.51/6.70 (assume @p1958 (forall @t271 (=> @t2770 (=> @t2130 (= (tptp.hAPP (tptp.hAPP @t2768 @t2874) @t38) @t2873))))) % 6.51/6.70 (assume @p1959 (forall @t271 (=> @t2770 (=> @t2130 (= (tptp.hAPP (tptp.hAPP @t2768 @t2875) @t38) @t2873))))) % 6.51/6.70 (assume @p1960 (forall @t646 (=> @t2770 (=> @t2130 (= (tptp.hAPP (tptp.hAPP @t2768 @t932) @t38) @t2876))))) % 6.51/6.70 (assume @p1961 (forall @t646 (=> @t2770 (=> @t2130 (= (tptp.hAPP (tptp.hAPP @t2768 @t950) @t38) @t2876))))) % 6.51/6.70 (assume @p1962 (forall @t2797 (= (tptp.hAPP @t2796 @t1778) (tptp.hAPP (tptp.hAPP @t2389 @t337) @t2388)))) % 6.51/6.70 (assume @p1963 (forall @t199 (= (tptp.hAPP @t2878 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t2880 @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1623 (tptp.tc_fun @t2880 @t55) tptp.tc_Nat_Onat) @t2877) @t2798)) @t51)) @t2879))) % 6.51/6.70 (assume @p1964 (forall @t122 (=> @t214 (= (tptp.hAPP (tptp.hAPP @t729 @t2772) @t2771) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t2883) @t2882))))) % 6.51/6.70 (assume @p1965 (forall @t2888 (=> @t214 (=> @t2887 (= (tptp.hAPP @t2886 @t2820) @t2884))))) % 6.51/6.70 (assume @p1966 (forall (@list @t690 @t51) (=> (tptp.hBOOL (tptp.hAPP @t2701 @t2889)) (= @t51 @t2889)))) % 6.51/6.70 (assume @p1967 (forall @t2888 (=> @t223 (= (tptp.hAPP @t2890 @t2820) @t56)))) % 6.51/6.70 (assume @p1968 (forall (@list @t690 @t2 @t8) (=> @t784 (=> (= @t2891 @t2105) (= (tptp.hAPP @t2399 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2095) @t690)) (tptp.hAPP @t2399 (tptp.hAPP @t2798 @t690))))))) % 6.51/6.70 (assume @p1969 (forall @t2894 (=> @t784 (=> @t1205 (= @t2869 (tptp.hAPP @t2893 (tptp.hAPP @t2399 (tptp.hAPP @t2817 @t692)))))))) % 6.51/6.70 (assume @p1970 (forall @t1209 (and (=> @t1208 (= @t2895 (tptp.hAPP (tptp.hAPP @t2389 @t692) @t2814))) (=> @t1808 (= @t2895 @t2388))))) % 6.51/6.70 (assume @p1971 (forall @t2897 (=> @t784 (and (=> @t1304 (= @t2896 @t2105)) (=> @t1784 (= @t2896 (tptp.hAPP @t2870 @t2397))))))) % 6.51/6.70 (assume @p1972 (forall (@list @t2901 @t210 @t2898 @t2899) (=> (= @t2899 (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2905 @t210)) @t2901)) (=> (and (=> @t2903 (and (tptp.hBOOL (tptp.hAPP @t2452 @t2901)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2901) @t2898)))) (=> @t2904 (and (tptp.hBOOL (tptp.hAPP @t2902 @t2901)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2901) @t2450))))) (=> @t2900 (= (tptp.hAPP (tptp.hAPP @t2754 @t2899) @t2898) @t210)))))) % 6.51/6.70 (assume @p1973 (forall @t2915 (= (tptp.hBOOL @t2914) (and (=> @t2861 @t2640) (=> @t2857 (forall @t2737 (=> (exists @t2250 @t2913) @t2907))) (=> @t2912 (forall @t2737 (=> (exists @t2250 @t2910) @t2907))))))) % 6.51/6.70 (assume @p1974 (forall @t1311 (=> @t2690 (=> @t2713 (tptp.hBOOL (tptp.hAPP @t2452 @t2741)))))) % 6.51/6.70 (assume @p1975 (forall @t2747 @t2746)) % 6.51/6.70 (assume @p1976 (forall @t1311 (= (tptp.c_Nat__Transfer_Otsub @t2687 @t2718) (tptp.hAPP @t2425 (tptp.hAPP (tptp.hAPP @t864 @t132) @t210))))) % 6.51/6.70 (assume @p1977 (forall @t2919 (= (forall @t1637 (=> @t2918 @t2917)) (forall @t7 (=> @t2916 @t231))))) % 6.51/6.70 (assume @p1978 (forall @t2919 (= (exists @t1637 (and @t2918 @t2917)) (exists @t7 (and @t2916 @t231))))) % 6.51/6.70 (assume @p1979 (forall @t2926 (and (=> @t2923 (= @t2922 @t2925)) (=> @t2924 (= @t2922 (tptp.hAPP @t2427 (tptp.hAPP @t2921 @t2920))))))) % 6.51/6.70 (assume @p1980 (forall @t2932 (=> (forall @t2458 (tptp.hBOOL (tptp.hAPP @t2931 @t2929))) (tptp.hBOOL (tptp.hAPP @t2928 @t2927))))) % 6.51/6.70 (assume @p1981 (forall @t2932 (=> (forall @t2458 (= @t2930 @t2929)) (= @t2879 @t2927)))) % 6.51/6.70 (assume @p1982 (forall @t2758 (tptp.hBOOL (tptp.hAPP @t2711 @t2934)))) % 6.51/6.70 (assume @p1983 (forall @t1221 (=> @t1197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 (tptp.hAPP @t2937 @t1161)) (tptp.hAPP @t2936 @t1161)))))) % 6.51/6.70 (assume @p1984 (forall @t1156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t2938) @t1152)))) % 6.51/6.70 (assume @p1985 (forall @t1259 (= (tptp.hAPP @t2939 @t2942) (tptp.hAPP (tptp.hAPP @t2935 @t2940) @t254)))) % 6.51/6.70 (assume @p1986 (forall @t1825 (= (tptp.hAPP @t2937 @t2095) @t1152))) % 6.51/6.70 (assume @p1987 (forall @t1156 @t2943)) % 6.51/6.70 (assume @p1988 (forall @t1175 (and (=> @t2946 (= @t2944 @t2094)) (=> (not @t2946) @t2945)))) % 6.51/6.70 (assume @p1989 (forall @t2766 (= (tptp.hAPP @t2425 @t2940) (tptp.hAPP (tptp.hAPP @t2754 @t2948) @t2947)))) % 6.51/6.70 (assume @p1990 (forall @t1311 (= (tptp.hAPP (tptp.hAPP @t2754 @t2687) @t2718) (tptp.hAPP @t2425 (tptp.hAPP (tptp.hAPP @t2935 @t132) @t210))))) % 6.51/6.70 (assume @p1991 (forall @t2392 (tptp.hBOOL (tptp.hAPP @t2711 @t2950)))) % 6.51/6.70 (assume @p1992 (forall @t1221 (=> @t2259 (=> @t1197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 (tptp.hAPP @t2951 @t1153)) (tptp.hAPP @t2951 @t1152))))))) % 6.51/6.70 (assume @p1993 (forall @t1160 (=> @t2141 (= (tptp.hAPP (tptp.hAPP @t2935 @t1739) @t1153) @t1152)))) % 6.51/6.70 (assume @p1994 (forall @t1160 (=> @t2141 (= (tptp.hAPP (tptp.hAPP @t2935 @t1911) @t1153) @t1152)))) % 6.51/6.70 (assume @p1995 (forall @t1175 (=> @t2264 @t2945))) % 6.51/6.70 (assume @p1996 (forall @t1160 (=> @t2953 (=> @t2259 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t2938) @t1152)))))) % 6.51/6.70 (assume @p1997 (forall @t1160 (=> @t2141 (and @t2943 @t2956)))) % 6.51/6.70 (assume @p1998 (forall @t1160 (=> @t2141 @t2956))) % 6.51/6.70 (assume @p1999 (forall @t2915 (= (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t2935 @t692) @t690))) (and (=> @t2154 @t2304) (=> @t2960 (forall @t2959 (=> @t2958 (=> @t2957 @t2907)))))))) % 6.51/6.70 (assume @p2000 (forall @t2758 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2963 @t2454) @t1653)) (tptp.hAPP @t2949 @t2962)) @t2934))) % 6.51/6.70 (assume @p2001 (forall @t1160 (=> @t2141 (=> @t1212 @t2955)))) % 6.51/6.70 (assume @p2002 (forall (@list @t692 @t337 @t136) (= (tptp.hBOOL (tptp.hAPP @t136 @t2966)) (or (and @t2145 @t2304) (exists @t2965 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 (tptp.hAPP @t2159 @t2964)) @t337)) (tptp.hBOOL (tptp.hAPP @t1204 (tptp.hAPP @t2159 (tptp.hAPP tptp.c_Nat_OSuc @t2964)))) (tptp.hBOOL (tptp.hAPP @t136 @t2964)))))))) % 6.51/6.71 (assume @p2003 (forall (@list @t337 @t2967 @t692) (=> @t2144 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 (tptp.hAPP @t2159 @t2967)) @t337)) (tptp.hBOOL (tptp.hAPP @t1204 (tptp.hAPP @t2159 (tptp.hAPP tptp.c_Nat_OSuc @t2967))))) (= @t2967 @t2966))))) % 6.51/6.71 (assume @p2004 (forall @t2968 (=> (forall @t2458 (tptp.hBOOL (tptp.hAPP @t2931 @t225))) (tptp.hBOOL (tptp.hAPP @t2928 @t225))))) % 6.51/6.71 (assume @p2005 (forall @t2888 (=> @t214 (=> @t2972 (= (tptp.hAPP @t2970 @t2969) @t2820))))) % 6.51/6.71 (assume @p2006 (forall @t2419 (= (tptp.hAPP @t2973 @t569) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t2973 @t568)) (tptp.hAPP @t2973 @t567))) @t2095)))) % 6.51/6.71 (assume @p2007 (forall (@list @t13 @t2 @t51 @t8 @t47) (=> @t2977 (=> @t363 (=> (not (= @t80 @t2107)) (and (=> @t176 (= @t2974 (tptp.hAPP @t2976 @t80))) (=> @t310 (= @t2974 @t2109)))))))) % 6.51/6.71 (assume @p2008 (forall @t2516 (= (tptp.hAPP @t2973 @t547) @t2978))) % 6.51/6.71 (assume @p2009 (forall @t2758 (tptp.hBOOL (tptp.hAPP @t1427 @t2979)))) % 6.51/6.71 (assume @p2010 (forall @t2758 (tptp.hBOOL (tptp.hAPP @t2711 @t2980)))) % 6.51/6.71 (assume @p2011 (forall @t2523 (=> @t2985 @t2984))) % 6.51/6.71 (assume @p2012 (forall @t410 (=> @t2988 (= @t2987 (tptp.hAPP @t2986 @t38))))) % 6.51/6.71 (assume @p2013 (forall @t405 (=> @t2988 (= (tptp.hAPP @t2982 @t1625) @t255)))) % 6.51/6.71 (assume @p2014 (forall @t262 (=> @t2988 (= (tptp.hAPP (tptp.hAPP @t2981 @t980) @t254) (tptp.hAPP (tptp.hAPP @t557 @t2990) @t2989))))) % 6.51/6.71 (assume @p2015 (forall @t262 (=> @t2988 (= (tptp.hAPP @t1726 @t2989) (tptp.hAPP (tptp.hAPP @t2981 @t1731) @t254))))) % 6.51/6.71 (assume @p2016 (forall @t262 (=> @t2988 (= (tptp.hAPP @t2991 @t254) (tptp.hAPP (tptp.hAPP @t928 @t2990) @t2989))))) % 6.51/6.71 (assume @p2017 (forall @t405 (=> @t2992 (= (tptp.hAPP @t2982 @t2105) @t2105)))) % 6.51/6.71 (assume @p2018 (forall @t405 (=> @t2988 (= (tptp.hAPP (tptp.hAPP @t2981 @t2105) @t255) @t2105)))) % 6.51/6.71 (assume @p2019 (forall @t1835 (=> @t2993 (= (tptp.hAPP (tptp.hAPP @t2981 @t839) @t1449) (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP (tptp.hAPP @t1832 (tptp.hAPP (tptp.hAPP @t770 @t2981) @t2)) @t1449)) @t51))))) % 6.51/6.71 (assume @p2020 (forall @t958 (=> @t2988 (=> @t2803 (=> (= @t1757 @t38) (= @t255 @t2989)))))) % 6.51/6.71 (assume @p2021 (forall @t2179 (=> @t2988 (=> @t2803 (=> (= @t38 @t1757) (= @t2989 @t255)))))) % 6.51/6.71 (assume @p2022 (forall @t3000 (=> @t2988 (=> @t2999 (= @t2997 @t2994))))) % 6.51/6.71 (assume @p2023 (forall @t967 (=> @t2988 (=> @t2999 (= @t3002 @t3001))))) % 6.51/6.71 (assume @p2024 (forall @t405 (=> @t2992 (and (=> @t2127 (= @t3003 @t2105)) @t3004)))) % 6.51/6.71 (assume @p2025 (forall @t405 (=> @t2988 @t3004))) % 6.51/6.71 (assume @p2026 (forall @t335 (=> @t2988 (=> (not @t2132) (= (= @t3005 @t1625) @t110))))) % 6.51/6.71 (assume @p2027 (forall @t646 (=> @t2988 (=> @t2130 @t3006)))) % 6.51/6.71 (assume @p2028 (forall @t646 (=> @t2988 (=> @t2130 @t3007)))) % 6.51/6.71 (assume @p2029 (forall (@list @t1153 @t255 @t38 @t8) (=> @t2993 (=> @t2130 @t2984)))) % 6.51/6.71 (assume @p2030 (forall @t2525 (=> @t2985 (= (tptp.hAPP @t3008 @t2520) (tptp.hAPP (tptp.hAPP @t2433 (tptp.hAPP @t3008 @t255)) @t1153))))) % 6.51/6.71 (assume @p2031 (forall @t911 (=> (tptp.class_Fields_Ofield__inverse__zero @t47) (=> @t363 (= (tptp.hAPP (tptp.hAPP @t2097 (tptp.hAPP (tptp.hAPP @t994 (tptp.hAPP (tptp.hAPP @t898 @t2975) @t2)) @t1)) @t51) (tptp.hAPP @t2976 @t2101)))))) % 6.51/6.71 (assume @p2032 (forall @t3010 (=> @t223 (=> @t3009 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t690 @t1653) @t56))))) % 6.51/6.71 (assume @p2033 (forall @t2758 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t3011) @t1137) @t2980))) % 6.51/6.71 (assume @p2034 (forall @t2758 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t3012) @t1137) @t2979))) % 6.51/6.71 (assume @p2035 (forall @t224 (=> @t601 (= (tptp.hAPP @t1858 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t61 @t64)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t1318 @t1319))))) % 6.51/6.71 (assume @p2036 (forall @t2507 (= (tptp.hAPP @t2973 @t2506) @t2094))) % 6.51/6.71 (assume @p2037 (forall @t2509 (= (tptp.hAPP @t2973 @t243) @t2094))) % 6.51/6.71 (assume @p2038 (= (tptp.hAPP @t2973 tptp.c_Com_Ocom_OSKIP) @t2094)) % 6.51/6.71 (assume @p2039 (forall (@list @t1152 @t1153 @t255 @t8) (=> @t2993 (=> @t2131 (=> @t1212 (= (tptp.hAPP @t2519 @t1171) (tptp.hAPP (tptp.hAPP @t2981 @t2526) @t2520))))))) % 6.51/6.71 (assume @p2040 (forall @t2827 (=> @t223 (= (tptp.hAPP @t3014 @t2821) @t56)))) % 6.51/6.71 (assume @p2041 (forall @t122 (=> @t214 (= (tptp.hAPP (tptp.hAPP @t729 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t13 @t109)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t18 @t116)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t2883 @t2882))))) % 6.51/6.71 (assume @p2042 (forall @t2758 (= (tptp.hAPP @t2325 @t2979) (tptp.hAPP @t2805 @t3012)))) % 6.51/6.71 (assume @p2043 (forall @t2827 (=> @t214 (=> @t3016 (=> @t2824 (= (tptp.hAPP @t3015 @t2821) @t2969)))))) % 6.51/6.71 (assume @p2044 (forall (@list @t692 @t61 @t8) (=> @t2993 (=> (not @t1626) (= (tptp.hAPP (tptp.hAPP @t2398 @t3017) @t2799) (tptp.hAPP (tptp.hAPP @t2981 (tptp.hAPP (tptp.hAPP @t557 (tptp.hAPP @t3017 @t692)) @t1625)) (tptp.hAPP (tptp.hAPP @t557 @t61) @t1625))))))) % 6.51/6.71 (assume @p2045 (forall @t262 (=> @t3022 (=> @t269 (=> @t2199 @t3021))))) % 6.51/6.71 (assume @p2046 (forall @t271 (=> @t3023 (=> @t270 (=> @t2178 @t3021))))) % 6.51/6.71 (assume @p2047 (forall @t3000 (=> @t3023 (=> @t2223 (= @t3026 @t3024))))) % 6.51/6.71 (assume @p2048 (forall @t967 (=> @t3023 (=> @t2223 (= @t3028 @t3027))))) % 6.51/6.71 (assume @p2049 (forall @t811 (=> @t3023 (=> @t3033 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3032) @t132)) (tptp.hBOOL (tptp.hAPP @t277 @t3030))))))) % 6.51/6.71 (assume @p2050 (forall (@list @t2566 @t272 @t210 @t132 @t8) (=> @t2985 (= (tptp.hAPP (tptp.hAPP @t1725 @t3030) (tptp.hAPP (tptp.hAPP @t2981 @t272) @t2566)) (tptp.hAPP (tptp.hAPP @t2981 @t1761) (tptp.hAPP @t2287 @t2566)))))) % 6.51/6.71 (assume @p2051 (forall @t410 (=> @t2985 @t3007))) % 6.51/6.71 (assume @p2052 (forall @t410 (=> @t2985 @t3006))) % 6.51/6.71 (assume @p2053 (forall @t114 (=> @t3022 (= (tptp.hBOOL (tptp.hAPP @t2177 @t3005)) @t2206)))) % 6.51/6.71 (assume @p2054 (forall @t114 (=> @t3022 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3005) @t2105)) @t2204)))) % 6.51/6.71 (assume @p2055 (forall @t262 (=> @t3022 (=> @t269 (=> @t2178 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2990) @t2989))))))) % 6.51/6.71 (assume @p2056 (forall @t262 (=> @t3022 (=> @t269 (=> @t2199 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t2989) @t2990))))))) % 6.51/6.71 (assume @p2057 (forall @t114 (=> @t3022 (= (tptp.hBOOL (tptp.hAPP @t2212 @t3005)) (or (and @t2219 @t3035) (and @t2217 @t3034)))))) % 6.51/6.71 (assume @p2058 (forall @t114 (=> @t3022 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3005) @t2105)) (or (and @t2219 @t3034) (and @t2217 @t3035)))))) % 6.51/6.71 (assume @p2059 (forall @t215 (=> @t3023 (=> @t3037 (=> @t3033 @t3036))))) % 6.51/6.71 (assume @p2060 (forall @t215 (=> @t3023 (=> @t3037 (=> @t3040 @t3039))))) % 6.51/6.71 (assume @p2061 (forall @t215 (=> @t3023 (=> @t3041 (=> @t3033 @t3039))))) % 6.51/6.71 (assume @p2062 (forall @t215 (=> @t3023 (=> @t3041 (=> @t3040 @t3036))))) % 6.51/6.71 (assume @p2063 (forall @t262 (=> @t3023 (=> @t645 (=> @t2237 @t3042))))) % 6.51/6.71 (assume @p2064 (forall @t271 (=> @t3023 (=> @t643 (=> @t2240 @t3042))))) % 6.51/6.71 (assume @p2065 (forall (@list @t1773 @t61 @t315 @t64 @t8) (=> @t2993 (=> @t2289 (=> (not @t3043) (= (= (tptp.hAPP (tptp.hAPP @t2981 @t61) @t64) (tptp.hAPP (tptp.hAPP @t2981 @t1773) @t315)) (= @t1776 @t1777))))))) % 6.51/6.71 (assume @p2066 (forall @t958 (=> @t2985 (=> @t2803 (= (tptp.hAPP (tptp.hAPP @t2981 @t2197) @t2196) @t2983))))) % 6.51/6.71 (assume @p2067 (forall @t958 (=> @t2985 (=> @t2803 (= (tptp.hAPP (tptp.hAPP @t2981 @t1757) @t1733) @t2983))))) % 6.51/6.71 (assume @p2068 (forall @t3045 (=> @t2985 (= @t2997 (and (=> @t2999 @t2994) @t3044))))) % 6.51/6.71 (assume @p2069 (forall @t941 (=> @t2985 (= @t3002 (and (=> @t2999 @t3001) @t3044))))) % 6.51/6.71 (assume @p2070 (forall @t215 (=> @t3023 (=> @t2294 (=> @t3033 @t3046))))) % 6.51/6.71 (assume @p2071 (forall @t215 (=> @t3023 (=> @t2294 (=> @t3040 @t3048))))) % 6.51/6.71 (assume @p2072 (forall @t3054 (=> @t3023 (=> @t3037 (=> @t213 (=> @t3053 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2566) @t272)) @t3052))))))) % 6.51/6.71 (assume @p2073 (forall @t3054 (=> @t3023 (=> @t2294 (=> @t637 (=> @t3053 (=> @t3055 @t3052))))))) % 6.51/6.71 (assume @p2074 (forall @t3054 (=> @t3023 (=> @t2294 (=> @t213 (=> @t3053 (=> @t3055 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3051) @t3050))))))))) % 6.51/6.71 (assume @p2075 (forall @t215 (=> @t3023 (=> @t3056 (=> @t3033 @t3048))))) % 6.51/6.71 (assume @p2076 (forall @t215 (=> @t3023 (=> @t3056 (=> @t3040 @t3046))))) % 6.51/6.71 (assume @p2077 (forall @t941 (=> @t3022 (= @t3061 (and (=> @t2224 @t3060) (=> @t3059 (and (=> @t2223 @t3058) (=> @t3057 @t2217)))))))) % 6.51/6.71 (assume @p2078 (forall @t3045 (=> @t3022 (= @t3063 (and (=> @t2224 @t3058) (=> @t3059 (and (=> @t2223 @t3060) (=> @t3057 @t2219)))))))) % 6.51/6.71 (assume @p2079 (forall @t967 (=> @t3023 (=> @t2224 (= @t3061 @t3060))))) % 6.51/6.71 (assume @p2080 (forall @t3000 (=> @t3023 (=> @t2224 (= @t3063 @t3058))))) % 6.51/6.71 (assume @p2081 (forall @t280 (=> @t3023 (=> @t3033 (=> (tptp.hBOOL (tptp.hAPP @t628 @t3032)) (tptp.hBOOL (tptp.hAPP @t3038 @t272))))))) % 6.51/6.71 (assume @p2082 (forall @t811 (=> @t3023 (=> @t3033 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3032) @t132)) (tptp.hBOOL (tptp.hAPP @t655 @t3030))))))) % 6.51/6.71 (assume @p2083 (forall @t967 (=> @t3023 (=> @t2223 (= @t3061 @t3058))))) % 6.51/6.71 (assume @p2084 (forall @t3000 (=> @t3023 (=> @t2223 (= @t3063 @t3060))))) % 6.51/6.71 (assume @p2085 (forall @t271 (=> @t3023 (=> @t643 (=> @t2237 @t3064))))) % 6.51/6.71 (assume @p2086 (forall @t262 (=> @t3023 (=> @t645 (=> @t2240 @t3064))))) % 6.51/6.71 (assume @p2087 (forall @t3071 (=> @t2993 (=> @t3070 (=> @t3069 (= (tptp.hAPP @t3068 @t3067) (tptp.hAPP (tptp.hAPP @t2981 (tptp.hAPP (tptp.hAPP @t928 @t1761) @t3066)) @t3065))))))) % 6.51/6.71 (assume @p2088 (forall @t3073 (=> @t2993 (=> @t3069 (= (tptp.hAPP (tptp.hAPP @t928 @t3051) @t210) (tptp.hAPP @t3072 @t272)))))) % 6.51/6.71 (assume @p2089 (forall @t280 (=> @t2985 (=> @t3070 (= (tptp.hAPP @t3068 @t272) @t3074))))) % 6.51/6.71 (assume @p2090 (forall @t3073 (=> @t2993 (=> @t3069 (= (tptp.hAPP @t1382 @t3076) (tptp.hAPP (tptp.hAPP @t2981 (tptp.hAPP (tptp.hAPP @t928 @t3075) @t210)) @t272)))))) % 6.51/6.71 (assume @p2091 (forall @t811 (=> @t2985 (=> @t3070 (= (tptp.hAPP @t3077 @t3030) @t3074))))) % 6.51/6.71 (assume @p2092 (forall @t3073 (=> @t2993 (=> @t3069 (= (tptp.hAPP @t1369 @t3076) (tptp.hAPP (tptp.hAPP @t2981 (tptp.hAPP (tptp.hAPP @t557 @t3075) @t210)) @t272)))))) % 6.51/6.71 (assume @p2093 (forall @t3073 (=> @t2993 (=> @t3069 (= (tptp.hAPP (tptp.hAPP @t557 @t3051) @t210) (tptp.hAPP (tptp.hAPP @t2981 (tptp.hAPP @t1369 @t3032)) @t272)))))) % 6.51/6.71 (assume @p2094 (forall @t3071 (=> @t2993 (=> @t3070 (=> @t3069 (= (tptp.hAPP (tptp.hAPP @t557 @t3030) @t3067) (tptp.hAPP (tptp.hAPP @t2981 (tptp.hAPP (tptp.hAPP @t557 @t1761) @t3066)) @t3065))))))) % 6.51/6.71 (assume @p2095 (forall @t410 (=> @t3023 (=> @t645 (tptp.hBOOL (tptp.hAPP @t644 @t3078)))))) % 6.51/6.71 (assume @p2096 (forall @t410 (=> @t3023 (=> @t645 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3078) @t38)))))) % 6.51/6.71 (assume @p2097 (forall @t941 (=> @t3022 (= @t3028 (and (=> @t2224 @t3024) (=> @t3059 (and (=> @t2223 @t3027) (=> @t3057 @t2186)))))))) % 6.51/6.71 (assume @p2098 (forall @t3045 (=> @t3022 (= @t3026 (and (=> @t2224 @t3027) (=> @t3059 (and (=> @t2223 @t3024) (=> @t3057 @t2187)))))))) % 6.51/6.71 (assume @p2099 (forall @t967 (=> @t3023 (=> @t2224 (= @t3028 @t3024))))) % 6.51/6.71 (assume @p2100 (forall @t3000 (=> @t3023 (=> @t2224 (= @t3026 @t3027))))) % 6.51/6.71 (assume @p2101 (forall @t280 (=> @t3023 (=> @t3033 (=> (tptp.hBOOL (tptp.hAPP @t159 @t3032)) (tptp.hBOOL (tptp.hAPP @t3047 @t272))))))) % 6.51/6.71 (assume @p2102 (forall @t881 (=> @t2977 (=> @t363 (=> @t452 (=> (forall @t7 (=> @t2353 (not @t2111))) (= (tptp.hAPP @t2108 @t195) (tptp.hAPP (tptp.hAPP @t2975 (tptp.hAPP (tptp.hAPP @t1704 @t2109) @t3079)) (tptp.hAPP @t2108 @t731))))))))) % 6.51/6.71 (assume @p2103 (forall @t2888 (=> @t214 (=> @t2972 (= (tptp.hAPP @t3082 @t3081) @t3080))))) % 6.51/6.71 (assume @p2104 (forall @t2392 (=> (tptp.hBOOL (tptp.hAPP @t2452 @t1137)) (= @t2950 (tptp.hAPP @t2679 (tptp.hAPP @t2374 @t3083)))))) % 6.51/6.71 (assume @p2105 (forall (@list @t1034 @t77 @t2 @t1660 @t8 @t47) (=> @t3087 (=> @t1663 (=> @t3086 (=> (= @t3085 @t77) (=> @t3084 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t201 @t2724) @t77))))))))) % 6.51/6.71 (assume @p2106 (forall (@list @t1034 @t2 @t1660 @t8 @t47) (=> @t3087 (=> @t1663 (=> @t3086 (=> (= @t3085 @t2107) (=> @t3084 (= @t2724 @t2107)))))))) % 6.51/6.71 (assume @p2107 (forall @t2758 (tptp.hBOOL (tptp.hAPP @t1427 @t3088)))) % 6.51/6.71 (assume @p2108 (forall @t2758 (tptp.hBOOL (tptp.hAPP @t2711 @t3089)))) % 6.51/6.71 (assume @p2109 (forall @t1216 (= (tptp.hAPP tptp.c_Int_Onat @t2468) @t1153))) % 6.51/6.71 (assume @p2110 (forall @t2758 (= (tptp.hAPP @t2708 @t3089) @t3090))) % 6.51/6.71 (assume @p2111 (= @t2094 @t3091)) % 6.51/6.71 (assume @p2112 (= @t3091 @t2094)) % 6.51/6.71 (assume @p2113 (forall @t2686 (= @t3096 (exists @t7 (and @t2715 @t3092))))) % 6.51/6.71 (assume @p2114 (forall @t2686 (= @t3097 (forall @t7 (=> @t2715 @t3092))))) % 6.51/6.71 (assume @p2115 (forall @t2702 (=> @t3101 (=> @t3100 (= (= @t3099 @t3098) @t222))))) % 6.51/6.71 (assume @p2116 (forall (@list @t3102 @t315) (=> @t3105 (=> (tptp.hBOOL (tptp.hAPP @t2452 @t3102)) (= (= @t3104 @t3103) (= @t315 @t3102)))))) % 6.51/6.71 (assume @p2117 (= @t1615 @t3106)) % 6.51/6.71 (assume @p2118 (forall @t2698 (= (tptp.hAPP (tptp.hAPP @t3109 @t51) @t77) (tptp.hAPP @t3108 (tptp.hAPP (tptp.hAPP @t3107 @t2694) @t2693))))) % 6.51/6.71 (assume @p2119 (forall @t2710 (= (tptp.hAPP @t3108 @t2694) @t51))) % 6.51/6.71 (assume @p2120 (forall @t2066 (=> @t3115 (= (tptp.hAPP (tptp.hAPP @t3114 @t2) @t51) (tptp.hAPP (tptp.hAPP @t3113 @t3112) @t2694))))) % 6.51/6.71 (assume @p2121 (forall @t3010 (=> @t223 (=> @t3009 @t3117)))) % 6.51/6.71 (assume @p2122 (forall @t3120 (=> @t223 (= @t3117 @t3119)))) % 6.51/6.71 (assume @p2123 (forall @t3120 (=> @t223 (= (= @t56 @t3116) @t3119)))) % 6.51/6.71 (assume @p2124 (forall @t2827 (=> @t214 (=> @t2826 (=> @t2824 (= (tptp.hAPP @t3123 @t3121) @t3080)))))) % 6.51/6.71 (assume @p2125 (= @t2388 (tptp.hAPP @t3108 @t2706))) % 6.51/6.71 (assume @p2126 (forall @t2827 (=> @t223 (= (tptp.hAPP @t3124 @t3121) @t56)))) % 6.51/6.71 (assume @p2127 (forall @t2549 (=> @t3127 @t3126))) % 6.51/6.71 (assume @p2128 (forall @t3129 (= (= @t3128 @t2094) @t2859))) % 6.51/6.71 (assume @p2129 (forall @t2461 (= @t3132 (and @t2550 @t2460)))) % 6.51/6.71 (assume @p2130 (forall @t2608 (=> @t2550 @t3133))) % 6.51/6.71 (assume @p2131 (forall @t2702 (=> @t3101 (=> @t3100 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t3099) @t3098)) @t3135))))) % 6.51/6.71 (assume @p2132 (= @t3106 @t2095)) % 6.51/6.71 (assume @p2133 (forall @t2549 @t3138)) % 6.51/6.71 (assume @p2134 (forall @t3139 (= (= @t2446 @t315) (and (= @t337 @t3104) @t3105)))) % 6.51/6.71 (assume @p2135 (forall @t2549 (and @t3138 (=> (not @t2548) (= @t3136 @t2450))))) % 6.51/6.71 (assume @p2136 (forall @t3139 (= (tptp.hBOOL (tptp.hAPP @t1204 @t3104)) (tptp.hBOOL (tptp.hAPP @t2462 @t315))))) % 6.51/6.71 (assume @p2137 (forall @t1216 (= (tptp.hAPP tptp.c_Int_Onat @t2538) @t2094))) % 6.51/6.71 (assume @p2138 (forall @t2758 (= (tptp.hAPP @t2325 @t3088) @t2806))) % 6.51/6.71 (assume @p2139 (forall @t2066 (=> @t3115 (= (tptp.hAPP @t2399 @t51) (tptp.hAPP (tptp.hAPP @t3140 @t3112) @t2694))))) % 6.51/6.71 (assume @p2140 (forall @t2392 (= (tptp.hAPP @t2708 @t2950) @t3083))) % 6.51/6.71 (assume @p2141 (forall @t2758 (= (tptp.hAPP @t2708 @t2934) @t3090))) % 6.51/6.71 (assume @p2142 (forall @t2552 (= (tptp.hBOOL (tptp.hAPP @t2103 @t3104)) @t2550))) % 6.51/6.71 (assume @p2143 (forall @t2702 (=> @t3101 (=> @t3100 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t3099) @t3098)) @t3142))))) % 6.51/6.71 (assume @p2144 (forall @t2461 (=> @t3143 @t3133))) % 6.51/6.71 (assume @p2145 (forall (@list @t1773 @t337) (= (= @t337 @t3130) @t3144))) % 6.51/6.71 (assume @p2146 (forall @t3145 (= (= @t3130 @t337) @t3144))) % 6.51/6.71 (assume @p2147 (forall @t2461 (=> (or (tptp.hBOOL (tptp.hAPP @t2486 @t1773)) @t3105) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t3130) @t3104)) @t2542)))) % 6.51/6.71 (assume @p2148 (forall @t1643 (= (tptp.hBOOL (tptp.hAPP @t136 @t3128)) (and (forall @t2458 (=> (= @t1034 @t2540) (tptp.hBOOL (tptp.hAPP @t136 @t1714)))) (=> (tptp.hBOOL (tptp.hAPP @t2860 @t2450)) @t2304))))) % 6.51/6.71 (assume @p2149 (forall @t1311 (=> @t2690 (=> @t2713 (= (tptp.hAPP (tptp.hAPP @t1000 @t3147) @t3146) (tptp.hAPP tptp.c_Int_Onat @t2712)))))) % 6.51/6.71 (assume @p2150 (forall @t3150 (=> @t2548 (=> @t3149 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2557 @t2609)) (tptp.hAPP (tptp.hAPP @t1000 @t3125) @t3148)))))) % 6.51/6.71 (assume @p2151 (forall @t1311 (=> @t2690 (=> @t2713 (= (tptp.hAPP (tptp.hAPP @t1721 @t3147) @t3146) (tptp.hAPP tptp.c_Int_Onat @t2717)))))) % 6.51/6.71 (assume @p2152 (forall @t3150 (=> @t2548 (= @t3151 (tptp.hAPP (tptp.hAPP @t1721 @t3125) @t3148))))) % 6.51/6.71 (assume @p2153 (forall @t2698 (= (tptp.hAPP (tptp.hAPP @t2792 @t51) @t77) (tptp.hAPP @t3108 (tptp.hAPP (tptp.hAPP @t3152 @t2694) @t2693))))) % 6.51/6.71 (assume @p2154 (forall (@list @t272 @t2609) (=> @t3149 (=> @t2611 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2604 @t2609)) (tptp.hAPP (tptp.hAPP @t864 @t3125) @t3148)))))) % 6.51/6.71 (assume @p2155 (forall @t2066 (= @t863 (tptp.hAPP tptp.c_Int_Onat @t2479)))) % 6.51/6.71 (assume @p2156 (forall @t1311 (=> @t2690 (=> @t2713 (= @t3154 @t3153))))) % 6.51/6.71 (assume @p2157 (forall @t1311 (=> @t2690 (= @t3153 @t3154)))) % 6.51/6.71 (assume @p2158 (forall @t122 (=> @t214 (= (tptp.hAPP (tptp.hAPP @t729 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t13 @t109)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t18 @t116)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t2883 @t2882))))) % 6.51/6.71 (assume @p2159 (forall @t224 (=> @t601 (= (tptp.hAPP @t1858 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t61 @t64)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t1318) @t1319))))) % 6.51/6.71 (assume @p2160 (forall @t224 (=> @t601 (= (tptp.hAPP @t1858 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t61) @t64)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t1318 @t1319))))) % 6.51/6.71 (assume @p2161 (forall @t2688 (=> @t2690 (= (tptp.hAPP (tptp.hAPP @t2510 @t3147) @t1153) (tptp.hAPP tptp.c_Int_Onat @t2689))))) % 6.51/6.71 (assume @p2162 (forall (@list @t1153 @t272) (=> @t2548 (= (tptp.hAPP tptp.c_Int_Onat @t3155) (tptp.hAPP (tptp.hAPP @t2510 @t3125) @t1153))))) % 6.51/6.71 (assume @p2163 (forall @t2066 (= @t2482 (tptp.hAPP tptp.c_Int_Onat @t2481)))) % 6.51/6.71 (assume @p2164 (forall @t2827 (=> @t223 (= (tptp.hAPP @t3124 @t3156) @t56)))) % 6.51/6.71 (assume @p2165 (forall @t1311 (=> @t2690 (=> @t2713 (= (tptp.hAPP (tptp.hAPP @t864 @t3147) @t3146) (tptp.hAPP tptp.c_Int_Onat @t2741)))))) % 6.51/6.71 (assume @p2166 (forall @t2552 (= (tptp.hBOOL (tptp.hAPP @t2296 @t3104)) (tptp.hBOOL (tptp.hAPP @t2862 @t315))))) % 6.51/6.71 (assume @p2167 (forall @t3145 (=> @t3143 (= (tptp.hBOOL (tptp.hAPP @t3131 @t337)) (tptp.hBOOL (tptp.hAPP @t2459 @t2446)))))) % 6.51/6.71 (assume @p2168 (forall @t2549 (=> @t2548 (= (tptp.hAPP tptp.c_Nat_OSuc @t3125) (tptp.hAPP tptp.c_Int_Onat @t2547))))) % 6.51/6.71 (assume @p2169 (forall @t3150 (=> @t3127 (= @t3151 (tptp.hAPP (tptp.hAPP @t1721 (tptp.hAPP tptp.c_Int_Onat @t2555)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2427 @t2609))))))) % 6.51/6.71 (assume @p2170 (forall @t2686 (= (tptp.hAPP @t1426 @t136) (tptp.hAPP @t3108 (tptp.hAPP @t2684 (tptp.hAPP @t2683 (tptp.hAPP (tptp.hAPP @t3157 @t136) tptp.c_Int_Onat))))))) % 6.51/6.71 (assume @p2171 (forall @t2827 (=> @t214 (=> @t2826 (=> @t3158 (= (tptp.hAPP @t3123 @t3156) @t2969)))))) % 6.51/6.71 (assume @p2172 (forall @t2758 (= (tptp.hAPP @t2708 @t2980) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2961 @t3011))))) % 6.51/6.71 (assume @p2173 (forall @t1269 (= (tptp.c_Int_Onat__aux @t1165 @t1153) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP tptp.c_Int_Onat @t1165)) @t1153)))) % 6.51/6.71 (assume @p2174 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t2452)) % 6.51/6.71 (assume @p2175 (forall @t3163 (=> @t2436 (and (=> @t3161 (= @t3160 (tptp.hAPP @t1312 (tptp.hAPP @t2407 (tptp.hAPP tptp.c_Int_Onat @t3162))))) (=> (not @t3161) (= @t3160 (tptp.hAPP @t2407 (tptp.hAPP tptp.c_Int_Onat @t1161)))))))) % 6.51/6.71 (assume @p2176 (= (tptp.hAPP @t3164 @t2094) (tptp.hAPP @t2394 @t1624))) % 6.51/6.71 (assume @p2177 (forall @t2698 (=> @t3169 (=> @t3168 (= @t3167 (tptp.hAPP @t2679 (tptp.hAPP (tptp.hAPP @t2792 @t3166) @t3165))))))) % 6.51/6.71 (assume @p2178 (forall @t2698 (=> @t3169 (=> @t3168 (tptp.c_Nat__Transfer_Onat__set @t3170))))) % 6.51/6.71 (assume @p2179 (forall @t224 (=> @t214 (= (= @t3173 @t3172) @t222)))) % 6.51/6.71 (assume @p2180 (forall @t3176 (=> @t2513 (= (= @t3175 @t3174) @t2612)))) % 6.51/6.71 (assume @p2181 (forall @t2698 (=> @t3169 (=> @t3168 (tptp.c_Nat__Transfer_Onat__set @t3167))))) % 6.51/6.71 (assume @p2182 (forall @t1216 (= (tptp.hAPP @t3177 @t2468) @t2468))) % 6.51/6.71 (assume @p2183 (forall @t2698 (=> @t3169 (=> @t3168 (= @t168 (= @t3166 @t3165)))))) % 6.51/6.71 (assume @p2184 (forall @t365 (=> @t2436 (= (tptp.hAPP @t3159 @t2450) @t2105)))) % 6.51/6.71 (assume @p2185 (forall @t3179 (=> @t2513 (= (= @t2105 @t3174) @t3178)))) % 6.51/6.71 (assume @p2186 (forall @t3179 (=> @t2513 (= (= @t3174 @t2105) @t3178)))) % 6.51/6.71 (assume @p2187 (tptp.c_Nat__Transfer_Onat__set @t2706)) % 6.51/6.71 (assume @p2188 (forall @t3176 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3175) @t3174)) @t2542)))) % 6.51/6.71 (assume @p2189 (forall @t3176 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3175) @t3174)) @t2460)))) % 6.51/6.71 (assume @p2190 (forall @t3182 (=> @t2436 (= (tptp.hAPP @t3159 @t2593) (tptp.hAPP (tptp.hAPP @t928 @t3181) @t3180))))) % 6.51/6.71 (assume @p2191 (forall @t3182 (=> @t2436 (= (tptp.hAPP @t3159 @t2582) (tptp.hAPP (tptp.hAPP @t1725 @t3181) @t3180))))) % 6.51/6.71 (assume @p2192 (forall @t365 (=> @t2436 (= (tptp.hAPP @t3159 @t2453) @t1625)))) % 6.51/6.71 (assume @p2193 (forall @t3182 (=> @t2436 (= (tptp.hAPP @t3159 (tptp.hAPP (tptp.hAPP @t2494 @t2566) @t272)) (tptp.hAPP (tptp.hAPP @t557 @t3181) @t3180))))) % 6.51/6.71 (assume @p2194 (forall @t2492 (=> @t2436 (= (tptp.hAPP @t3159 @t2468) @t2491)))) % 6.51/6.71 (assume @p2195 (forall @t3183 (=> @t2436 (= (tptp.hAPP @t3159 @t2555) (tptp.hAPP @t1312 @t3180))))) % 6.51/6.71 (assume @p2196 (forall @t3179 (=> @t2436 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t3174) @t2417))))) % 6.51/6.71 (assume @p2197 (forall (@list @t1153 @t272 @t8) (=> @t2436 (= (tptp.hAPP @t3159 @t3155) (tptp.hAPP (tptp.hAPP @t2433 @t3180) @t1153))))) % 6.51/6.71 (assume @p2198 (forall (@list @t392) (= (tptp.c_Nat__Transfer_Onat__set @t392) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t3184 @t392)) @t2715))))) % 6.51/6.71 (assume @p2199 (forall (@list @t225) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t2679 @t225)))) % 6.51/6.71 (assume @p2200 (forall @t2402 (=> @t261 (= (tptp.hBOOL (tptp.hAPP @t1036 @t3185)) (tptp.hBOOL (tptp.hAPP @t3118 @t1034)))))) % 6.51/6.71 (assume @p2201 (forall @t224 (=> @t214 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t3173) @t3172)) @t219)))) % 6.51/6.71 (assume @p2202 (forall @t2316 (=> @t3115 (=> @t3169 (= @t3187 (tptp.hAPP (tptp.hAPP @t3114 @t3186) @t3166)))))) % 6.51/6.71 (assume @p2203 (forall @t86 (=> @t2436 (= (tptp.hAPP @t3159 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t47 tptp.tc_Int_Oint) @t2) @t51)) (tptp.hAPP (tptp.hAPP @t776 @t3188) @t51))))) % 6.51/6.71 (assume @p2204 (forall @t86 (=> (and @t1791 @t2436) (= (tptp.hAPP @t3159 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t47 tptp.tc_Int_Oint) @t2) @t51)) (tptp.hAPP (tptp.hAPP @t2149 @t3188) @t51))))) % 6.51/6.71 (assume @p2205 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t1623) @t1624) @t3164) @t2388)) % 6.51/6.71 (assume @p2206 (forall @t2710 (=> @t3169 (= (tptp.hAPP @t2679 @t3166) @t51)))) % 6.51/6.71 (assume @p2207 (forall @t2698 (=> @t3169 (=> @t3168 (= @t3170 (tptp.hAPP @t2679 (tptp.hAPP (tptp.hAPP @t3109 @t3166) @t3165))))))) % 6.51/6.71 (assume @p2208 (forall @t3190 (=> @t3169 (=> @t3189 @t3101)))) % 6.51/6.71 (assume @p2209 (forall @t3179 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3174) @t2105)) (tptp.hBOOL (tptp.hAPP @t2607 @t2450)))))) % 6.51/6.71 (assume @p2210 (forall @t3179 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP @t2177 @t3174)) @t3105)))) % 6.51/6.71 (assume @p2211 (forall @t3179 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP @t2212 @t3174)) @t2550)))) % 6.51/6.71 (assume @p2212 (forall @t3179 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3174) @t2105)) @t2554)))) % 6.51/6.71 (assume @p2213 (forall @t3183 (=> @t2436 (=> @t2548 (= (tptp.hAPP @t2407 @t3125) @t3180))))) % 6.51/6.71 (assume @p2214 (forall @t2316 (=> @t3115 (=> @t3169 (= @t3192 (tptp.hAPP (tptp.hAPP @t2398 @t3186) @t3166)))))) % 6.51/6.71 (assume @p2215 (forall @t2710 (=> @t3169 (= (tptp.hBOOL (tptp.hAPP @t2711 @t51)) (tptp.hBOOL (tptp.hAPP @t1427 @t3166)))))) % 6.51/6.71 (assume @p2216 (forall @t2710 (=> @t3169 (= (tptp.hAPP @t2708 @t51) (tptp.hAPP @t2325 @t3166))))) % 6.51/6.71 (assume @p2217 (forall @t2888 (=> @t214 (=> @t2887 (= (tptp.hAPP (tptp.hAPP @t193 @t3080) @t3194) @t3193))))) % 6.51/6.71 (assume @p2218 (forall @t130 (=> @t601 (= (tptp.hAPP @t1858 @t2387) (tptp.hAPP @t3171 @t1319))))) % 6.51/6.71 (assume @p2219 (forall @t130 (=> @t601 (= (tptp.hAPP @t1858 @t3173) (tptp.hAPP @t2385 @t1319))))) % 6.51/6.71 (assume @p2220 (forall @t2888 (=> @t223 (= (tptp.hAPP (tptp.hAPP @t729 @t3080) @t3194) @t56)))) % 6.51/6.71 (assume @p2221 (forall @t1428 (= (tptp.hAPP @t3164 @t1720) (tptp.hAPP (tptp.hAPP @t3197 @t3196) (tptp.hAPP @t3195 @t2388))))) % 6.51/6.71 (assume @p2222 (forall @t2686 (tptp.c_Nat__Transfer_Onat__set @t2685))) % 6.51/6.71 (assume @p2223 (forall @t2698 (=> @t3169 (=> @t3168 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2699 @t51) @t77)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2700 @t3166) @t3165))))))) % 6.51/6.71 (assume @p2224 (forall @t2698 (=> @t3169 (=> @t3168 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2696 @t51) @t77)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2697 @t3166) @t3165))))))) % 6.51/6.71 (assume @p2225 (forall @t2705 (=> @t3198 (=> @t3169 (= @t3189 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1634 @t3099) @t3166))))))) % 6.51/6.71 (assume @p2226 (forall (@list @t692 @t136 @t135) (=> (forall @t7 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t3201) @t230))) (= (tptp.hAPP (tptp.hAPP @t864 (tptp.hAPP (tptp.hAPP @t2376 @t136) @t2375)) (tptp.hAPP (tptp.hAPP @t2376 @t135) @t2375)) (tptp.hAPP (tptp.hAPP @t2376 (tptp.hAPP (tptp.hAPP @t3200 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3199 tptp.tc_Nat_Onat) @t864) @t136)) @t135)) @t2375))))) % 6.51/6.71 (assume @p2227 (forall @t2894 (=> @t708 (and (=> @t1208 (= @t3203 (tptp.hAPP (tptp.hAPP @t557 @t2892) (tptp.hAPP @t2 @t3204)))) (=> @t1808 (= @t3203 @t2105)))))) % 6.51/6.71 (assume @p2228 (forall @t2439 (=> @t1575 (= (tptp.hAPP @t1847 (tptp.hAPP (tptp.hAPP @t2398 @t2407) @t3205)) (tptp.hAPP @t2409 (tptp.hAPP (tptp.hAPP @t928 @t2408) @t1625)))))) % 6.51/6.71 (assume @p2229 (forall @t2758 (tptp.hBOOL (tptp.hAPP @t1427 @t3206)))) % 6.51/6.71 (assume @p2230 (tptp.c_Nat__Transfer_Ois__nat @t2450)) % 6.51/6.71 (assume @p2231 (forall @t1311 (=> @t3208 (=> @t3207 (tptp.c_Nat__Transfer_Ois__nat @t2712))))) % 6.51/6.71 (assume @p2232 (forall @t2549 (tptp.c_Nat__Transfer_Ois__nat @t2716))) % 6.51/6.71 (assume @p2233 (tptp.c_Nat__Transfer_Ois__nat @t2453)) % 6.51/6.71 (assume @p2234 (forall @t1311 (=> @t3208 (=> @t3207 (tptp.c_Nat__Transfer_Ois__nat @t2717))))) % 6.51/6.71 (assume @p2235 (forall @t1311 (=> @t3208 (=> @t3207 (tptp.c_Nat__Transfer_Ois__nat @t2775))))) % 6.51/6.71 (assume @p2236 (forall @t2688 (=> @t3208 (tptp.c_Nat__Transfer_Ois__nat @t2689)))) % 6.51/6.71 (assume @p2237 (forall @t2919 (= (exists @t1637 (and @t3211 @t2917)) (exists @t7 (and @t3210 @t231))))) % 6.51/6.71 (assume @p2238 (forall @t2919 (= (forall @t1637 (=> @t3211 @t2917)) (forall @t7 (=> @t3210 @t231))))) % 6.51/6.71 (assume @p2239 (forall @t2758 (= (tptp.hAPP @t2756 @t3212) @t3206))) % 6.51/6.71 (assume @p2240 (forall @t1311 (=> @t3208 (=> @t3207 (tptp.c_Nat__Transfer_Ois__nat @t2741))))) % 6.51/6.71 (assume @p2241 (forall @t114 (=> @t223 (= @t3215 @t3213)))) % 6.51/6.71 (assume @p2242 (forall @t114 (=> @t223 (= (= @t56 @t3214) @t3213)))) % 6.51/6.71 (assume @p2243 (forall @t335 (=> @t223 (=> @t2222 @t3215)))) % 6.51/6.71 (assume @p2244 (forall @t122 (=> @t223 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t3214) @t3216)) (or @t3213 @t2813))))) % 6.51/6.71 (assume @p2245 (forall @t114 (=> @t223 (=> @t110 (= @t3214 @t113))))) % 6.51/6.71 (assume @p2246 (forall @t941 (=> @t223 (= (= @t3214 (tptp.hAPP @t120 @t56)) (and @t110 @t115))))) % 6.51/6.71 (assume @p2247 (forall @t14 (=> @t223 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t13) @t113)))) % 6.51/6.71 (assume @p2248 (forall @t224 (=> @t601 (= (tptp.hAPP @t1858 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t61 @t64)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t1318 @t1319))))) % 6.51/6.71 (assume @p2249 (forall @t2808 (= (tptp.hAPP @t2394 @t3217) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2322 @t2807)))) % 6.51/6.71 (assume @p2250 (forall @t2818 (=> @t784 (= (tptp.hAPP @t2399 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1778 @t1780)) (tptp.hAPP @t2816 @t3202))))) % 6.51/6.71 (assume @p2251 (forall @t2831 (=> @t784 (= (tptp.hAPP @t2399 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1229 @t1227)) (tptp.hAPP @t2830 @t3202))))) % 6.51/6.71 (assume @p2252 (forall @t2758 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3012 @t1137) @t3088))) % 6.51/6.71 (assume @p2253 (forall @t3218 (= @t3198 @t3101))) % 6.51/6.71 (assume @p2254 (forall @t2836 (= (tptp.hAPP @t2835 @t3217) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1189 @t2789)))) % 6.51/6.71 (assume @p2255 (forall @t2758 (= (tptp.hAPP @t2325 @t3206) (tptp.hAPP (tptp.hAPP @t864 @t3212) @t1653)))) % 6.51/6.71 (assume @p2256 (forall @t1209 (=> @t1806 (= @t3219 (tptp.hAPP (tptp.hAPP @t2389 @t1780) @t3202))))) % 6.51/6.71 (assume @p2257 (forall @t3190 (=> @t3169 (=> @t3189 @t3198)))) % 6.51/6.71 (assume @p2258 (forall (@list @t690 @t2) (=> (= @t2891 @t2094) (= (tptp.hAPP @t3220 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2095 @t690)) (tptp.hAPP @t3220 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2094 @t690)))))) % 6.51/6.71 (assume @p2259 (forall @t2827 (=> @t214 (=> @t2826 (=> @t2824 (= (tptp.hAPP @t2823 @t3222) @t3221)))))) % 6.51/6.71 (assume @p2260 (forall @t2827 (=> @t223 (= (tptp.hAPP @t2834 @t3222) @t56)))) % 6.51/6.71 (assume @p2261 (forall @t122 (=> @t214 (= (tptp.hAPP @t3223 @t3216) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t2883 @t2882))))) % 6.51/6.71 (assume @p2262 (forall @t122 (=> @t223 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t613 @t3214) @t3216)) (and (or @t3213 (and @t2812 @t2811 (or (tptp.hBOOL (tptp.hAPP @t670 @t13)) (tptp.hBOOL (tptp.hAPP @t1328 @t116))))) @t596))))) % 6.51/6.71 (assume @p2263 (forall @t2827 (=> @t214 (=> @t2826 (=> @t2824 (= (tptp.hAPP @t3225 @t3121) @t3221)))))) % 6.51/6.71 (assume @p2264 (forall @t2888 (=> @t223 (= (tptp.hAPP @t2890 @t3221) @t56)))) % 6.51/6.71 (assume @p2265 (forall @t2827 (=> @t223 (= (tptp.hAPP @t3226 @t3121) @t56)))) % 6.51/6.71 (assume @p2266 (forall @t2827 (=> @t223 (= (tptp.hAPP @t3014 @t3222) @t56)))) % 6.51/6.71 (assume @p2267 (forall @t2827 (=> @t223 (= (tptp.hAPP @t3226 @t3156) @t56)))) % 6.51/6.71 (assume @p2268 (forall @t2888 (=> @t223 (= (tptp.hAPP (tptp.hAPP @t729 @t3221) @t3194) @t56)))) % 6.51/6.71 (assume @p2269 (forall @t2894 (=> @t784 (=> @t1208 (= @t3227 (tptp.hAPP @t2893 (tptp.hAPP @t2399 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1778 @t692)))))))) % 6.51/6.71 (assume @p2270 (forall @t2897 (=> @t784 (and (=> @t3232 (= @t3230 @t2105)) (=> (not @t3232) (= @t3230 (tptp.hAPP @t3229 @t3228))))))) % 6.51/6.71 (assume @p2271 (forall (@list @t136 @t692 @t337 @t8) (=> @t784 (=> @t1208 (= (tptp.hAPP @t3233 @t3202) (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t136 @t337)) (tptp.hAPP @t3233 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t337 @t692)))))))) % 6.51/6.71 (assume @p2272 (forall (@list @t2866 @t2 @t692 @t337 @t8) (=> @t784 (=> (tptp.hBOOL (tptp.hAPP @t1207 @t3204)) (= (tptp.hAPP @t2399 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t337 @t3234)) (tptp.hAPP @t3229 (tptp.hAPP @t2399 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3204 @t3234)))))))) % 6.51/6.71 (assume @p2273 (forall @t2888 (=> @t214 (=> @t2887 (= (tptp.hAPP @t3235 @t3081) @t3221))))) % 6.51/6.71 (assume @p2274 (forall @t2888 (=> @t214 (=> @t2887 (= (tptp.hAPP @t2970 @t3080) @t3221))))) % 6.51/6.71 (assume @p2275 (forall @t2827 (=> @t214 (=> @t2826 (=> @t3158 (= (tptp.hAPP @t3225 @t3156) @t2820)))))) % 6.51/6.71 (assume @p2276 (forall @t2827 (=> @t214 (=> @t3016 (=> @t2824 (= (tptp.hAPP @t3015 @t3222) @t3080)))))) % 6.51/6.71 (assume @p2277 (forall @t2316 (=> @t3237 (= (tptp.hAPP (tptp.hAPP @t2480 @t2) @t51) (tptp.hAPP @t2425 (tptp.hAPP (tptp.hAPP @t2116 @t3236) @t51)))))) % 6.51/6.71 (assume @p2278 (forall @t2316 (=> @t3237 (= (tptp.hAPP (tptp.hAPP @t2478 @t2) @t51) (tptp.hAPP @t2425 (tptp.hAPP (tptp.hAPP @t860 @t3236) @t51)))))) % 6.51/6.71 (assume @p2279 (forall @t1428 (= @t3239 (tptp.hAPP (tptp.hAPP @t3197 (tptp.hAPP @t3238 @t690)) (tptp.hAPP @t2390 @t2388))))) % 6.51/6.71 (assume @p2280 (forall (@list @t1033 @t692 @t8) (= (tptp.hAPP @t3242 @t1033) (tptp.hAPP (tptp.hAPP @t193 (tptp.hAPP (tptp.hAPP @t2877 @t3205) @t1033)) (tptp.hAPP @t1033 @t2094))))) % 6.51/6.71 (assume @p2281 (forall @t2758 (tptp.hBOOL (tptp.hAPP @t2711 @t3243)))) % 6.51/6.71 (assume @p2282 (forall @t1428 (tptp.hBOOL (tptp.hAPP @t1427 @t3244)))) % 6.51/6.71 (assume @p2283 (forall @t224 (=> @t214 (= (= @t3247 @t3246) @t222)))) % 6.51/6.71 (assume @p2284 (forall @t224 (=> @t214 (= (= @t3250 @t3249) @t222)))) % 6.51/6.71 (assume @p2285 (forall @t130 (=> @t601 (= (tptp.hAPP @t1858 @t3247) (tptp.hAPP @t3248 @t1319))))) % 6.51/6.71 (assume @p2286 (forall @t130 (=> @t601 (= (tptp.hAPP @t1858 @t3250) (tptp.hAPP @t3245 @t1319))))) % 6.51/6.71 (assume @p2287 (forall @t2439 (=> @t223 (= (tptp.hAPP (tptp.hAPP @t729 (tptp.hAPP @t3245 @t692)) (tptp.hAPP @t3248 @t692)) (tptp.hAPP (tptp.hAPP @t81 @t692) @t56))))) % 6.51/6.71 (assume @p2288 (forall @t1862 (= @t3241 (tptp.hAPP @t3108 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2450 @t2447))))) % 6.51/6.71 (assume @p2289 (forall @t2702 (=> @t3198 @t3251))) % 6.51/6.71 (assume @p2290 (forall @t1862 (= @t3209 @t3241))) % 6.51/6.71 (assume @p2291 (forall @t1428 (= @t2391 @t3244))) % 6.51/6.71 (assume @p2292 (forall @t2392 (= (tptp.hAPP @t2325 (tptp.hAPP @t3240 @t1137)) @t3212))) % 6.51/6.71 (assume @p2293 (forall @t1428 (= (tptp.hAPP @t3240 @t1720) (tptp.hAPP @t3195 @t3244)))) % 6.51/6.71 (assume @p2294 (forall @t2402 (=> @t261 (= (tptp.hBOOL (tptp.hAPP @t1036 @t3252)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t690) @t1034)))))) % 6.51/6.71 (assume @p2295 (forall @t2402 (=> @t261 (= (tptp.hBOOL (tptp.hAPP @t1036 @t3253)) (tptp.hBOOL (tptp.hAPP @t2833 @t690)))))) % 6.51/6.71 (assume @p2296 (forall @t224 (=> @t223 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t3250) @t3249)) @t219)))) % 6.51/6.71 (assume @p2297 (forall @t224 (=> @t223 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t3247) @t3246)) @t221)))) % 6.51/6.71 (assume @p2298 (= (tptp.hAPP @t3238 @t2094) @t1624)) % 6.51/6.71 (assume @p2299 (forall @t2702 (=> @t3101 @t3251))) % 6.51/6.71 (assume @p2300 (forall @t2758 (= (tptp.hAPP @t2933 (tptp.hAPP (tptp.hAPP @t2454 @t1137) @t2453)) @t3243))) % 6.51/6.71 (assume @p2301 (forall @t2406 (=> @t214 (= (tptp.hAPP @t1288 @t3252) @t2401)))) % 6.51/6.71 (assume @p2302 (forall @t2406 (=> @t214 (= (tptp.hAPP @t1288 @t2401) @t3252)))) % 6.51/6.71 (assume @p2303 (forall @t2406 (=> @t214 (= (tptp.hAPP @t1288 @t3185) @t3253)))) % 6.51/6.71 (assume @p2304 (forall @t2406 (=> @t214 (= (tptp.hAPP @t1288 @t3253) @t3185)))) % 6.51/6.71 (assume @p2305 (forall @t2758 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t3011 @t1137) @t3089))) % 6.51/6.71 (assume @p2306 (forall @t1428 (= @t3239 @t3196))) % 6.51/6.71 (assume @p2307 (= (tptp.hAPP @t2393 @t3240) @t1624)) % 6.51/6.71 (assume @p2308 (forall @t1209 (= @t3202 (tptp.hAPP @t3108 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2446 @t2447))))) % 6.51/6.71 (assume @p2309 (forall @t2400 (=> @t784 (= (tptp.hAPP @t2399 (tptp.hAPP @t3240 @t1780)) (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t2399 @t3241)) @t3228))))) % 6.51/6.71 (assume @p2310 (= (tptp.hAPP @t3240 @t2094) @t2751)) % 6.51/6.71 (assume @p2311 (forall @t2888 (=> @t214 (=> @t2887 (= (tptp.hAPP @t3235 @t3255) @t3254))))) % 6.51/6.71 (assume @p2312 (forall (@list @t1034 @t1190) (and (=> @t3257 (= @t3256 @t2706)) (=> (not @t3257) (= @t3256 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t1034) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2726 @t1190))))))) % 6.51/6.71 (assume @p2313 (forall @t2888 (=> @t223 (= (tptp.hAPP (tptp.hAPP @t729 @t2820) @t3255) @t56)))) % 6.51/6.71 (assume @p2314 (forall (@list @t116 @t18 @t109 @t8) (=> @t214 (= (tptp.hAPP (tptp.hAPP @t729 (tptp.hAPP @t3245 @t109)) @t3216) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t18 @t2882))))) % 6.51/6.71 (assume @p2315 (forall (@list @t116 @t109 @t13 @t8) (=> @t214 (= (tptp.hAPP @t3223 (tptp.hAPP @t3245 @t116)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t2882))))) % 6.51/6.71 (assume @p2316 (forall (@list @t116 @t18 @t13 @t8) (=> @t214 (= (tptp.hAPP (tptp.hAPP @t729 (tptp.hAPP @t3248 @t13)) @t3216) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t2883 @t116))))) % 6.51/6.71 (assume @p2317 (forall @t941 (=> @t214 (= (tptp.hAPP @t3223 (tptp.hAPP @t3248 @t18)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t2883 @t109))))) % 6.51/6.71 (assume @p2318 (= (tptp.hAPP @t2393 @t3238) @t1624)) % 6.51/6.71 (assume @p2319 (forall @t2888 (=> @t214 (=> @t2887 (= (tptp.hAPP @t3260 @t3080) @t3258))))) % 6.51/6.71 (assume @p2320 (forall (@list @t690 @t1033 @t692 @t8) (= (tptp.hAPP @t3242 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t55 tptp.tc_Nat_Onat) @t1033) @t2829)) (tptp.hAPP (tptp.hAPP @t2877 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t690 @t1227)) @t1033)))) % 6.51/6.71 (assume @p2321 (forall @t2888 (=> @t223 (= (tptp.hAPP @t3261 @t3080) @t56)))) % 6.51/6.71 (assume @p2322 (forall @t2888 (=> @t223 (= (tptp.hAPP @t3261 @t2969) @t56)))) % 6.51/6.71 (assume @p2323 (forall @t2888 (=> @t223 (= (tptp.hAPP (tptp.hAPP @t729 @t2969) @t3255) @t56)))) % 6.51/6.71 (assume @p2324 (forall @t2758 (= (tptp.hAPP @t2708 @t3243) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t2454 @t2962) @t2453))))) % 6.51/6.71 (assume @p2325 (forall @t1209 (=> (tptp.c_Nat__Transfer_Ois__nat @t337) (=> (tptp.c_Nat__Transfer_Ois__nat @t692) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t337 @t692) (tptp.hAPP @t2679 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t337) (tptp.hAPP tptp.c_Int_Onat @t692)))))))) % 6.51/6.71 (assume @p2326 (forall (@list @t1137 @t8) (=> @t214 (= (tptp.hAPP (tptp.hAPP @t193 @t2884) @t3081) @t3258)))) % 6.51/6.71 (assume @p2327 (forall @t2888 (=> @t214 (=> @t2887 (= (tptp.hAPP @t2886 @t3221) @t3258))))) % 6.51/6.71 (assume @p2328 (forall (@list @t1653 @t8) (=> @t214 (= (tptp.hAPP @t2970 @t3193) @t3254)))) % 6.51/6.71 (assume @p2329 (forall @t2888 (=> @t214 (=> @t2887 (= (tptp.hAPP (tptp.hAPP @t193 @t3221) @t3194) @t3254))))) % 6.51/6.71 (assume @p2330 (forall @t2888 (=> @t214 (=> @t2972 (= (tptp.hAPP @t3260 @t2969) @t2884))))) % 6.51/6.71 (assume @p2331 (forall @t2888 (=> @t214 (=> @t2972 (= (tptp.hAPP @t3082 @t3255) @t3193))))) % 6.51/6.71 (assume @p2332 (forall @t3275 (=> @t3274 (=> @t3273 (forall @t7 (=> @t3271 (=> @t3264 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t3263) @t32))))))))) % 6.51/6.71 (assume @p2333 (forall @t3283 (=> @t3274 (=> @t3282 (forall @t7 (=> @t3280 (=> @t3279 (tptp.hBOOL (tptp.hAPP @t3278 @t3277))))))))) % 6.51/6.71 (assume @p2334 (forall @t3275 (=> @t3274 (=> @t3286 (forall @t7 (=> @t3271 (=> @t3284 (not (= @t3263 @t32))))))))) % 6.51/6.71 (assume @p2335 (forall @t3283 (=> @t3274 (=> @t3287 (forall @t7 (=> @t3280 (=> @t3284 (not (= @t3277 @t32))))))))) % 6.51/6.71 (assume @p2336 (forall @t3283 (=> @t3274 (=> @t3282 (=> (forall @t7 (=> @t3288 (forall @t817 (=> (tptp.hBOOL (tptp.hAPP @t3269 @t77)) (not (= @t32 (tptp.hAPP (tptp.hAPP @t2454 @t813) @t3))))))) (= (tptp.hAPP @t3281 @t283) @t32)))))) % 6.51/6.71 (assume @p2337 (forall @t3275 (=> @t3274 (=> @t3273 (=> (forall @t7 (=> @t3288 (forall @t817 (=> (tptp.hBOOL (tptp.hAPP @t3269 @t51)) (not (= @t32 (tptp.hAPP (tptp.hAPP @t2494 @t813) @t3))))))) (= (tptp.hAPP @t3272 @t283) @t32)))))) % 6.51/6.71 (assume @p2338 (forall @t3275 (=> @t3274 (=> @t3286 (forall @t7 (=> @t3271 (=> @t3289 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3263) @t32))))))))) % 6.51/6.71 (assume @p2339 (forall @t3283 (=> @t3274 (=> @t3287 (forall @t7 (=> @t3280 (=> @t3291 (tptp.hBOOL (tptp.hAPP @t3290 @t3277))))))))) % 6.51/6.71 (assume @p2340 (forall @t3292 (=> @t3274 (forall @t7 (=> @t3280 (=> @t3264 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t3277) @t32)))))))) % 6.51/6.71 (assume @p2341 (forall @t3293 (=> @t3274 (forall @t7 (=> @t3271 (=> @t3279 (tptp.hBOOL (tptp.hAPP @t3278 @t3263)))))))) % 6.51/6.71 (assume @p2342 (forall (@list @t136 @t116) (=> @t3295 (=> (forall (@list @t3 @t1231) (= @t231 (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t3276 (tptp.hAPP (tptp.hAPP @t2466 @t1231) @t116)))))) (= @t3096 (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t3184 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2453 @t116))) @t231))))))) % 6.51/6.71 (assume @p2343 (forall @t3292 (=> @t3274 (forall @t7 (=> @t3280 (=> @t3289 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3277) @t32)))))))) % 6.51/6.71 (assume @p2344 (forall @t3293 (=> @t3274 (forall @t7 (=> @t3271 (=> @t3291 (tptp.hBOOL (tptp.hAPP @t3290 @t3263)))))))) % 6.51/6.71 (assume @p2345 (forall @t3299 (=> @t3295 (=> (forall @t7 (=> @t231 (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t3276 @t116))))) (=> @t3298 (forall @t7 (=> @t231 (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t3276 @t3296)))))))))) % 6.51/6.71 (assume @p2346 (forall @t3300 (=> (tptp.hBOOL (tptp.hAPP @t2588 @t2450)) (exists @t2458 (= @t132 (tptp.hAPP @t2427 @t2456)))))) % 6.51/6.71 (assume @p2347 (forall @t3299 (=> @t3295 (=> (forall @t7 (=> @t231 (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t3262 @t116))))) (=> @t3298 (forall @t7 (=> @t231 (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t3262 @t3296)))))))))) % 6.51/6.71 (assume @p2348 (forall (@list @t692 @t136) (=> @t2308 (=> @t3302 (exists @t1233 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1231) @t692)) (forall @t2737 (=> (tptp.hBOOL (tptp.hAPP @t3301 @t1231)) (not @t2907))) (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t1000 @t1231) @t1615))))))))) % 6.51/6.71 (assume @p2349 (forall @t3306 (=> @t1712 (=> @t1921 (=> @t3305 (=> @t3304 (= @t2370 @t2371))))))) % 6.51/6.71 (assume @p2350 (forall @t3306 (=> @t1712 (=> @t1921 (=> @t3305 (=> @t3304 (= @t2371 @t2370))))))) % 6.51/6.71 (assume @p2351 (forall @t2546 (=> @t2565 (exists @t2458 (and @t3307 (= @t1161 @t2540)))))) % 6.51/6.71 (assume @p2352 (forall @t3306 (=> @t910 (=> @t1921 (=> @t3305 (=> @t3308 (= @t2380 @t2379))))))) % 6.51/6.71 (assume @p2353 (forall @t3306 (=> @t910 (=> @t1921 (=> @t3305 (=> @t3308 (= @t2379 @t2380))))))) % 6.51/6.71 (assume @p2354 (forall @t199 (=> @t363 (= (tptp.hAPP @t3312 @t3311) (tptp.hAPP @t3309 @t1386))))) % 6.51/6.71 (assume @p2355 (= tptp.c_Com_Obody (tptp.hAPP (tptp.c_Map_Omap__of tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.c_Com_Obodies))) % 6.51/6.71 (assume @p2356 (forall @t174 (=> @t173 @t3315))) % 6.51/6.71 (assume @p2357 (forall @t307 (=> (= @t85 @t77) (= @t3316 @t3313)))) % 6.51/6.71 (assume @p2358 (forall @t199 (tptp.hBOOL (tptp.hAPP @t3314 @t3311)))) % 6.51/6.71 (assume @p2359 (forall @t199 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t3311) @t51))) % 6.51/6.71 (assume @p2360 (forall @t199 (not (exists @t3317 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t55 @t1715) @t51) @t3311))))) % 6.51/6.71 (assume @p2361 (forall @t199 (not (= @t3311 @t1337)))) % 6.51/6.71 (assume @p2362 (forall @t1083 (= (tptp.hAPP @t3310 @t1417) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t47 @t1336) @t51) @t3318)))) % 6.51/6.71 (assume @p2363 (forall @t300 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1295 @t56) @t3313)))) % 6.51/6.71 (assume @p2364 (forall @t174 (= @t3315 @t173))) % 6.51/6.71 (assume @p2365 (forall @t174 (=> @t3315 @t173))) % 6.51/6.71 (assume @p2366 (forall @t174 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1344 @t3311) @t3313))))) % 6.51/6.71 (assume @p2367 (forall @t199 (= @t3311 @t1443))) % 6.51/6.71 (assume @p2368 (forall @t199 (= (tptp.hBOOL (tptp.hAPP @t1338 @t3311)) @t363))) % 6.51/6.71 (assume @p2369 (forall @t199 (tptp.hBOOL (tptp.hAPP @t1345 (tptp.hAPP @t3310 @t1340))))) % 6.51/6.71 (assume @p2370 (forall @t91 (= (tptp.hAPP @t3310 @t90) (tptp.hAPP @t3319 (tptp.hAPP (tptp.c_Set_Oimage @t55 @t55 @t89) @t3311))))) % 6.51/6.71 (assume @p2371 (forall @t365 (= (tptp.hAPP @t3310 @t1407) @t1448))) % 6.51/6.71 (assume @p2372 (forall @t1083 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1344 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t47 @t1336) @t51) @t3318)) (tptp.hAPP @t3310 @t1042))))) % 6.51/6.71 (assume @p2373 (forall @t174 (= (tptp.hAPP @t3310 @t731) (tptp.hAPP (tptp.hAPP @t1377 @t3311) @t3313)))) % 6.51/6.71 (assume @p2374 (forall @t588 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t85) @t77)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1344 @t3316) @t3313))))) % 6.51/6.71 (assume @p2375 (forall @t199 (= (tptp.hAPP @t3310 @t1298) (tptp.hAPP @t1442 (tptp.hAPP (tptp.hAPP @t3320 (tptp.c_HOL_OEx @t55)) (tptp.hAPP (tptp.hAPP @t3327 (tptp.hAPP @t3326 (tptp.hAPP @t3323 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t55 @t611 @t1336) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1336 (tptp.tc_fun @t611 @t1336) @t55) (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t55)) tptp.c_fequal)) @t1288)))) (tptp.hAPP (tptp.hAPP @t3320 @t3314) @t3310))))))) % 6.51/6.71 (assume @p2376 (forall @t365 (= (tptp.hAPP @t3310 @t56) (tptp.hAPP (tptp.hAPP @t1348 @t56) @t1337)))) % 6.51/6.71 (assume @p2377 (forall @t174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1344 (tptp.hAPP @t3319 @t3313)) (tptp.hAPP @t3310 @t195))))) % 6.51/6.71 (assume @p2378 (forall @t336 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t8 @t1512) @t61)) (tptp.hBOOL (tptp.hAPP @t1621 @t3311))))) % 6.51/6.71 (assume @p2379 (forall (@list @t690 @t225 @t8) (=> (tptp.hBOOL (tptp.hAPP @t1338 @t225)) (=> (tptp.hBOOL (tptp.hAPP @t359 @t1291)) (=> (forall (@list @t3330) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1295 @t3330) @t225)) (= (tptp.hAPP @t1385 @t3330) @t690))) (=> (forall (@list @t3329) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1295 @t3329) @t225)) (forall (@list @t3328) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1295 @t3328) @t225)) (=> (not (= @t3329 @t3328)) (= (tptp.hAPP (tptp.hAPP @t729 @t3329) @t3328) @t56)))))) (= (tptp.hAPP @t1914 (tptp.hAPP @t3312 @t225)) (tptp.hAPP @t1385 @t1291)))))))) % 6.51/6.71 (assume @p2380 (forall @t215 (=> @t3022 (=> (forall @t2086 (=> (tptp.hBOOL (tptp.hAPP @t2212 @t2085)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t2085) @t1625)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP (tptp.hAPP @t1725 @t2085) @t132)) @t210))))) @t213)))) % 6.51/6.71 (assume @p2381 (forall @t3332 (=> @t3115 (=> @t168 (=> @t3168 (=> @t3331 (= @t3187 (tptp.hAPP (tptp.hAPP @t3113 @t1) @t77)))))))) % 6.51/6.71 (assume @p2382 (forall @t3336 (=> @t2857 (= @t3335 (forall @t2959 (=> @t2913 @t3333)))))) % 6.51/6.71 (assume @p2383 (forall @t3338 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2463 @t3337) @t210) @t1152) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2465 @t1152)))) % 6.51/6.71 (assume @p2384 (forall @t2766 (= @t3340 (tptp.hAPP @t2427 @t3339)))) % 6.51/6.71 (assume @p2385 (forall @t2766 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2760 @t2763) (tptp.hAPP @t2427 @t3341)))) % 6.51/6.71 (assume @p2386 (forall (@list @t1152 @t132) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2427 @t3337) @t1152) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2427 @t132) @t1152)))) % 6.51/6.71 (assume @p2387 (forall @t405 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t2105 @t255) @t2105)))) % 6.51/6.71 (assume @p2388 (forall @t2759 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2450 @t38) @t2450))) % 6.51/6.71 (assume @p2389 (forall @t405 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t255 @t2105) @t255)))) % 6.51/6.71 (assume @p2390 (forall @t405 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t255 @t255) @t2105)))) % 6.51/6.71 (assume @p2391 (forall @t2795 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t255 @t255) @t2450))) % 6.51/6.71 (assume @p2392 (forall @t410 (=> @t3344 (= @t3343 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t1312 @t3342) @t38))))) % 6.51/6.71 (assume @p2393 (forall (@list @t981 @t38 @t255 @t8) (=> @t3344 (=> (= @t3342 (tptp.c_Divides_Odiv__class_Omod @t8 @t981 @t38)) (= @t3343 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t1312 @t981) @t38)))))) % 6.51/6.71 (assume @p2394 (forall @t410 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t932 @t38) @t3342)))) % 6.51/6.71 (assume @p2395 (forall @t646 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t950 @t38) @t3342)))) % 6.51/6.71 (assume @p2396 (forall @t262 (=> @t2770 (= @t3347 @t3346)))) % 6.51/6.71 (assume @p2397 (forall @t262 (=> @t2770 (= @t3347 @t3350)))) % 6.51/6.71 (assume @p2398 (forall @t262 (=> @t2770 (= @t3347 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t3349 @t3345) @t254))))) % 6.51/6.71 (assume @p2399 (forall @t262 (=> @t2770 (= @t3346 @t3347)))) % 6.51/6.71 (assume @p2400 (forall @t961 (=> @t2770 (= @t3350 @t3347)))) % 6.51/6.71 (assume @p2401 (forall @t3353 (=> @t2770 (=> @t3352 (=> @t3351 (= @t3347 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP (tptp.hAPP @t928 @t981) @t2657) @t254))))))) % 6.51/6.71 (assume @p2402 (forall @t262 (=> @t2770 (= @t3354 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t1726 @t3345) @t254))))) % 6.51/6.71 (assume @p2403 (forall @t262 (=> @t2770 (= @t3354 @t3356)))) % 6.51/6.71 (assume @p2404 (forall @t262 (=> @t2770 (= @t3354 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t3355 @t3345) @t254))))) % 6.51/6.71 (assume @p2405 (forall @t958 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t2197 @t2196) (tptp.hAPP @t2195 @t3342))))) % 6.51/6.71 (assume @p2406 (forall @t961 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t1757 @t1733) (tptp.hAPP (tptp.hAPP @t1725 @t3342) @t254))))) % 6.51/6.71 (assume @p2407 (forall @t961 (=> @t2770 (= @t3356 @t3354)))) % 6.51/6.71 (assume @p2408 (forall @t3353 (=> @t2770 (=> @t3352 (=> @t3351 (= @t3354 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP (tptp.hAPP @t1725 @t981) @t2657) @t254))))))) % 6.51/6.71 (assume @p2409 (forall @t410 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t3342 @t38) @t3342)))) % 6.51/6.71 (assume @p2410 (forall @t1259 (= @t3361 @t3359))) % 6.51/6.71 (assume @p2411 (forall @t1259 (= @t3359 @t3361))) % 6.51/6.71 (assume @p2412 (forall @t1311 (=> @t3208 (=> @t3207 (tptp.c_Nat__Transfer_Ois__nat @t3362))))) % 6.51/6.71 (assume @p2413 (forall @t262 (=> @t3344 (= @t3363 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t979 @t3345) @t254))))) % 6.51/6.71 (assume @p2414 (forall @t262 (=> @t3344 (= @t3363 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t3364 @t38) @t254))))) % 6.51/6.71 (assume @p2415 (forall @t262 (=> @t3344 (= @t3363 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP @t3364 @t3345) @t254))))) % 6.51/6.71 (assume @p2416 (forall @t3353 (=> @t3344 (=> @t3352 (=> @t3351 (= @t3363 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.hAPP (tptp.hAPP @t557 @t981) @t2657) @t254))))))) % 6.51/6.71 (assume @p2417 (forall (@list @t1152 @t210 @t132) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2744 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t210 @t1152)) @t1152) @t3365))) % 6.51/6.71 (assume @p2418 (forall @t3338 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2494 @t3337) @t210) @t1152) @t3365))) % 6.51/6.71 (assume @p2419 (forall @t410 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t1731 @t38) @t2105)))) % 6.51/6.71 (assume @p2420 (forall @t646 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t1740 @t38) @t2105)))) % 6.51/6.71 (assume @p2421 (forall @t262 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t2874 @t38) @t3342)))) % 6.51/6.71 (assume @p2422 (forall @t961 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t2875 @t38) @t3342)))) % 6.51/6.71 (assume @p2423 (forall @t405 (=> @t2770 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t255 @t1625) @t2105)))) % 6.51/6.71 (assume @p2424 (forall @t410 (=> @t2770 (= (tptp.hAPP (tptp.hAPP @t2768 @t3342) @t38) @t2105)))) % 6.51/6.71 (assume @p2425 (forall @t2755 (=> (tptp.hBOOL (tptp.hAPP @t2452 @t1152)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1152 @t1161)) @t1152))))) % 6.51/6.71 (assume @p2426 (forall @t1311 (=> @t2690 (=> @t2713 (tptp.hBOOL (tptp.hAPP @t2452 @t3362)))))) % 6.51/6.71 (assume @p2427 (forall @t3367 (=> @t2838 @t3366))) % 6.51/6.71 (assume @p2428 (forall @t3367 (=> @t2776 @t3368))) % 6.51/6.71 (assume @p2429 (forall @t3369 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t337 @t116) @t2450) (exists @t2965 (= @t337 (tptp.hAPP (tptp.hAPP @t2466 @t116) @t2964)))))) % 6.51/6.71 (assume @p2430 (forall @t3373 (=> (not (= @t3372 @t2450)) @t3371))) % 6.51/6.71 (assume @p2431 (forall @t3373 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3162 @t1238) @t2450)) @t3371))) % 6.51/6.71 (assume @p2432 (forall @t2795 (and (= (tptp.hAPP @t2764 @t2450) @t2450) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t255 @t2450) @t255)))) % 6.51/6.71 (assume @p2433 (forall @t2766 (= (tptp.hAPP (tptp.hAPP @t2754 @t3341) @t38) @t2450))) % 6.51/6.71 (assume @p2434 (forall @t1259 (= (tptp.hAPP (tptp.hAPP @t2754 @t3377) @t254) (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2764 @t254)) @t3375)) (tptp.hAPP (tptp.hAPP @t2754 (tptp.hAPP (tptp.hAPP @t2454 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t255 @t254)) @t3357)) @t254))))) % 6.51/6.71 (assume @p2435 (forall @t410 (=> @t2770 (= (tptp.hAPP (tptp.hAPP @t928 @t3342) @t3378) @t255)))) % 6.51/6.71 (assume @p2436 (forall @t646 (=> @t2770 (= @t3379 @t255)))) % 6.51/6.71 (assume @p2437 (forall @t410 (=> @t2770 (= @t3380 @t255)))) % 6.51/6.71 (assume @p2438 (forall @t271 (=> @t2770 (= (tptp.hAPP (tptp.hAPP @t928 @t3379) @t254) @t946)))) % 6.51/6.71 (assume @p2439 (forall @t262 (=> @t2770 (= (tptp.hAPP (tptp.hAPP @t928 @t3380) @t254) @t946)))) % 6.51/6.71 (assume @p2440 (forall @t2766 (=> @t2845 (=> @t2844 @t3381)))) % 6.51/6.71 (assume @p2441 (forall @t3367 (=> @t2838 (and @t3382 @t3366)))) % 6.51/6.71 (assume @p2442 (forall @t3367 (=> @t2838 @t3382))) % 6.51/6.71 (assume @p2443 (forall @t2766 (=> @t2851 (=> @t2850 @t3381)))) % 6.51/6.71 (assume @p2444 (forall @t3367 (=> @t2776 (and @t3383 @t3368)))) % 6.51/6.71 (assume @p2445 (forall @t3367 (=> @t2776 @t3383))) % 6.51/6.71 (assume @p2446 (forall @t2766 (and (=> @t3385 (= @t3339 @t2450)) (=> @t3386 (= @t3339 (tptp.hAPP @t3384 @t3341)))))) % 6.51/6.71 (assume @p2447 (forall @t2766 (and (=> @t3385 (= @t3340 @t2450)) (=> @t3386 (= @t3340 (tptp.hAPP (tptp.hAPP @t2494 @t3341) @t38)))))) % 6.51/6.71 (assume @p2448 (forall @t2766 (= @t255 @t3387))) % 6.51/6.71 (assume @p2449 (forall @t1259 (= (tptp.hAPP (tptp.hAPP @t2754 @t3360) @t254) (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2647 @t3375)) (tptp.hAPP (tptp.hAPP @t2754 @t3358) @t254))))) % 6.51/6.71 (assume @p2450 (forall (@list @t1161 @t255 @t38) (= (tptp.hAPP (tptp.hAPP @t2454 @t3387) @t1161) @t3388))) % 6.51/6.71 (assume @p2451 (forall (@list @t1161 @t38 @t255) (= (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP (tptp.hAPP @t2466 @t2767) @t38)) @t3341)) @t1161) @t3388))) % 6.51/6.71 (assume @p2452 (forall @t1160 (= (tptp.hAPP (tptp.hAPP @t2466 @t1153) @t3391) (tptp.hAPP @t3390 @t3389)))) % 6.51/6.71 (assume @p2453 (forall @t1156 (= @t3389 (tptp.hAPP @t3390 (tptp.hAPP (tptp.hAPP @t2466 @t3391) @t1153))))) % 6.51/6.71 (assume @p2454 (forall @t2766 (=> @t2650 (=> @t3392 (= @t3341 @t3377))))) % 6.51/6.71 (assume @p2455 (forall (@list @t210 @t3393 @t2898 @t2899) (=> (= @t2899 (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2905 @t3393)) @t210)) (=> (and (=> @t2903 (and @t2713 (tptp.hBOOL (tptp.hAPP @t2587 @t2898)))) (=> @t2904 (and (tptp.hBOOL (tptp.hAPP @t2902 @t210)) (tptp.hBOOL (tptp.hAPP @t2742 @t2450))))) (=> @t2900 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2899 @t2898) @t210)))))) % 6.51/6.71 (assume @p2456 (forall @t3395 (=> @t2864 (=> @t2671 (=> @t2672 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t3394) @t2450))))))) % 6.51/6.71 (assume @p2457 (forall @t3395 (=> @t2864 (=> @t2671 (=> @t2672 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2863) @t3394))))))) % 6.51/6.71 (assume @p2458 (forall @t3396 (=> @t2864 (=> @t2653 (=> @t2662 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3394) @t2863))))))) % 6.51/6.71 (assume @p2459 (forall @t3396 (=> @t2864 (=> @t2653 (=> @t2662 (tptp.hBOOL (tptp.hAPP @t2452 @t3394))))))) % 6.51/6.71 (assume @p2460 (forall @t2915 (= (tptp.hBOOL (tptp.hAPP @t136 @t3334)) (and (=> @t2861 @t3302) (=> @t2857 (forall @t2959 (=> @t2913 @t3397))) (=> @t2912 (forall @t2959 (=> @t2910 @t3397))))))) % 6.51/6.71 (assume @p2461 (forall @t2865 (=> @t2864 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t255 @t2863) (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2665 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2767 @t254))) @t3341))))) % 6.51/6.71 (assume @p2462 (forall @t3367 (=> @t3400 (and (=> @t3385 (= @t2762 @t3398)) (=> @t3386 (= @t2762 @t3399)))))) % 6.51/6.71 (assume @p2463 (forall @t3367 (=> @t3400 (and (=> @t3385 (= @t2765 @t3398)) (=> @t3386 (= @t2765 @t3399)))))) % 6.51/6.71 (assume @p2464 (forall @t3336 (=> @t2912 (= @t3335 (forall @t2959 (=> @t2910 @t3333)))))) % 6.51/6.71 (assume @p2465 (forall @t2926 (and (=> @t2923 (= @t3401 @t3370)) (=> @t2924 (= @t3401 @t3372))))) % 6.51/6.71 (assume @p2466 (forall @t134 (=> @t3404 (and (=> @t3403 (= @t3402 @t2105)) (=> (not @t3403) (and (=> @t3037 (= @t3402 @t1625)) (=> (not @t3037) (= @t3402 @t1853)))))))) % 6.51/6.71 (assume @p2467 (forall @t14 (=> @t1658 (= (= @t3405 @t1853) @t2217)))) % 6.51/6.71 (assume @p2468 (forall @t405 (=> @t1658 (=> @t2211 (= @t3406 @t1853))))) % 6.51/6.71 (assume @p2469 (forall @t1156 @t3408)) % 6.51/6.71 (assume @p2470 (forall @t1156 (tptp.hBOOL (tptp.hAPP @t3409 @t1152)))) % 6.51/6.71 (assume @p2471 (forall @t1175 (= (tptp.hAPP @t1811 @t3407) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1813 @t1812)))) % 6.51/6.71 (assume @p2472 (forall @t1221 (= (tptp.hAPP (tptp.hAPP @t1721 @t3407) @t1161) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1816 @t1815)))) % 6.51/6.71 (assume @p2473 (forall @t1156 (= @t3411 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3410 @t1153)))) % 6.51/6.71 (assume @p2474 (forall @t405 (=> @t1658 (= (tptp.c_Groups_Osgn__class_Osgn @t8 @t3406) @t3406)))) % 6.51/6.71 (assume @p2475 (forall @t365 (=> @t3404 (= (tptp.c_Groups_Osgn__class_Osgn @t8 @t2105) @t2105)))) % 6.51/6.71 (assume @p2476 (forall @t14 (=> @t1658 (= (= @t3405 @t2105) @t2122)))) % 6.51/6.71 (assume @p2477 (forall @t410 (=> @t1658 (= (tptp.c_Groups_Osgn__class_Osgn @t8 @t1731) (tptp.hAPP (tptp.hAPP @t1725 @t3406) (tptp.c_Groups_Osgn__class_Osgn @t8 @t38)))))) % 6.51/6.71 (assume @p2478 (forall @t1825 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1152 @t2095) @t2094))) % 6.51/6.71 (assume @p2479 (forall @t1156 (and (=> @t3412 (= @t3411 @t2094)) (=> (not @t3412) (= @t3411 @t3410))))) % 6.51/6.71 (assume @p2480 (forall @t1160 (=> @t2141 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t3407) @t1153))))) % 6.51/6.71 (assume @p2481 (forall @t3369 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t337 @t116) @t2094) (exists @t2965 (= @t337 (tptp.hAPP (tptp.hAPP @t1721 @t116) @t2964)))))) % 6.51/6.71 (assume @p2482 (forall @t1156 @t3415)) % 6.51/6.71 (assume @p2483 (forall @t1156 (and @t3408 @t3415))) % 6.51/6.71 (assume @p2484 (forall @t1196 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3416 @t1153) @t3407))) % 6.51/6.71 (assume @p2485 (forall @t1160 (=> @t1212 @t3414))) % 6.51/6.71 (assume @p2486 (forall @t2766 (= (tptp.hAPP @t2425 @t3417) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2948 @t2947)))) % 6.51/6.71 (assume @p2487 (forall @t1311 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2687 @t2718) (tptp.hAPP @t2425 @t3418)))) % 6.51/6.71 (assume @p2488 (forall @t1259 (= (tptp.hAPP (tptp.hAPP @t2935 @t3421) @t254) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t2939 @t254)) @t3420)) (tptp.hAPP (tptp.hAPP @t2935 (tptp.hAPP (tptp.hAPP @t1000 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t255 @t254)) @t3419)) @t254))))) % 6.51/6.71 (assume @p2489 (forall @t1160 (=> @t2141 (tptp.hBOOL (tptp.hAPP @t3409 @t1153))))) % 6.51/6.71 (assume @p2490 (forall @t1196 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t3416) @t1153) @t3411))) % 6.51/6.71 (assume @p2491 (forall @t14 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3405) @t2105)) @t2217)))) % 6.51/6.71 (assume @p2492 (forall @t14 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP @t2212 @t3405)) @t2219)))) % 6.51/6.71 (assume @p2493 (forall @t1259 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t255 @t2942) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t2941 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2940 @t254))) @t3417)))) % 6.51/6.71 (assume @p2494 (forall @t1259 (= (tptp.hAPP (tptp.hAPP @t2935 @t3423) @t254) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t3422 @t3420)) (tptp.hAPP (tptp.hAPP @t2935 (tptp.hAPP @t3422 @t3419)) @t254))))) % 6.51/6.71 (assume @p2495 (forall @t1156 (= @t3425 @t3424))) % 6.51/6.71 (assume @p2496 (forall @t1160 (= (tptp.hAPP @t1814 @t2938) @t3424))) % 6.51/6.71 (assume @p2497 (forall @t1156 (= @t3407 (tptp.hAPP @t1170 @t3425)))) % 6.51/6.71 (assume @p2498 (forall @t3396 (=> @t3427 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t2242) @t38)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t3426) @t2942)))))) % 6.51/6.71 (assume @p2499 (forall @t2915 (= (tptp.hBOOL (tptp.hAPP @t136 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t692 @t690))) (and (=> @t2154 @t3302) (=> @t2960 (forall @t2959 (=> @t2958 (=> @t2957 @t3397)))))))) % 6.51/6.71 (assume @p2500 (forall (@list @t1152 @t1161) (=> (tptp.hBOOL (tptp.hAPP @t2952 @t1161)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1813) @t1161) @t1615)))) % 6.51/6.71 (assume @p2501 (forall @t1311 (=> @t2690 (=> @t2713 (= @t3429 @t3428))))) % 6.51/6.71 (assume @p2502 (forall @t1311 (=> @t2690 (=> @t2713 (= @t3428 @t3429))))) % 6.51/6.71 (assume @p2503 (forall @t14 (=> @t1658 (= (= @t3405 @t1625) @t2219)))) % 6.51/6.71 (assume @p2504 (forall @t405 (=> @t1658 (=> @t2216 (= @t3406 @t1625))))) % 6.51/6.71 (assume @p2505 (forall @t3434 (and (=> @t3433 (= @t3431 @t2450)) (=> (not @t3433) (and (=> @t3432 (= @t3431 @t2453)) (=> (not @t3432) (= @t3431 @t3430))))))) % 6.51/6.71 (assume @p2506 (forall (@list @t272 @t132 @t446) (=> @t3437 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 (tptp.hAPP @t2744 @t3436)) @t272))))) % 6.51/6.71 (assume @p2507 (forall (@list @t132 @t272 @t446) (=> @t3437 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t272) (tptp.hAPP @t2590 @t3436)))))) % 6.51/6.71 (assume @p2508 (forall @t3332 (=> @t3115 (=> @t168 (=> @t3168 (=> @t3331 (= @t3192 (tptp.hAPP (tptp.hAPP @t3140 @t1) @t77)))))))) % 6.51/6.71 (assume @p2509 (forall @t2119 (=> @t1596 (=> @t2115 @t2118)))) % 6.51/6.71 (assume @p2510 (forall @t86 (=> @t3441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t3438 @t839)) @t3440))))) % 6.51/6.71 (assume @p2511 (forall @t86 (=> @t3441 (tptp.hBOOL (tptp.hAPP @t2177 @t3440))))) % 6.51/6.71 (assume @p2512 (forall @t86 (=> @t3023 (= (tptp.hAPP @t3438 @t2152) (tptp.hAPP (tptp.hAPP @t2149 @t3439) @t51))))) % 6.51/6.71 (assume @p2513 (forall @t410 (=> @t3022 @t3444))) % 6.51/6.71 (assume @p2514 (forall @t410 (=> @t3441 (=> @t3445 @t269)))) % 6.51/6.71 (assume @p2515 (forall @t405 (=> @t3441 (tptp.hBOOL (tptp.hAPP @t256 @t3443))))) % 6.51/6.71 (assume @p2516 (forall @t1825 (= (tptp.hAPP @t3435 @t2426) @t2426))) % 6.51/6.71 (assume @p2517 (forall @t405 (=> @t3441 (= (tptp.hAPP @t3438 @t3443) @t3443)))) % 6.51/6.71 (assume @p2518 (forall @t2492 (=> @t1658 (= (tptp.hAPP @t3438 @t2491) @t2491)))) % 6.51/6.71 (assume @p2519 (forall @t405 (=> @t3441 (= (tptp.hAPP @t3438 @t1316) @t3443)))) % 6.51/6.71 (assume @p2520 (forall @t365 (=> @t1658 (= (tptp.hAPP @t3438 @t1625) @t1625)))) % 6.51/6.71 (assume @p2521 (forall @t405 (=> @t1658 (= (tptp.hAPP @t3446 @t3443) @t1727)))) % 6.51/6.71 (assume @p2522 (forall @t410 (=> @t1658 @t3448))) % 6.51/6.71 (assume @p2523 (forall @t410 (=> @t3441 (= (tptp.hAPP @t3438 @t3449) @t3449)))) % 6.51/6.71 (assume @p2524 (forall @t14 (=> @t3441 (= (= @t3450 @t2105) @t2122)))) % 6.51/6.71 (assume @p2525 (forall @t365 (=> @t3441 (= (tptp.hAPP @t3438 @t2105) @t2105)))) % 6.51/6.71 (assume @p2526 (forall @t2525 (=> @t1658 (= @t3453 @t3452)))) % 6.51/6.71 (assume @p2527 (forall @t410 (=> @t3441 (= @t3455 @t3454)))) % 6.51/6.71 (assume @p2528 (forall @t86 (=> @t3441 (= (tptp.hAPP @t3438 @t3440) @t3440)))) % 6.51/6.71 (assume @p2529 (forall @t405 (=> @t3441 (=> @t2180 @t3456)))) % 6.51/6.71 (assume @p2530 (forall @t14 (=> @t3441 (= (tptp.hBOOL (tptp.hAPP @t3457 @t2105)) @t2122)))) % 6.51/6.71 (assume @p2531 (forall @t405 (=> @t3441 (tptp.hBOOL (tptp.hAPP @t2177 @t3443))))) % 6.51/6.71 (assume @p2532 (forall @t405 (=> @t3441 (=> @t2216 @t3456)))) % 6.51/6.71 (assume @p2533 (forall @t14 (=> @t3441 (= (tptp.hBOOL (tptp.hAPP @t2212 @t3450)) @t3458)))) % 6.51/6.71 (assume @p2534 (forall @t405 (=> @t3441 (not (tptp.hBOOL (tptp.hAPP @t3459 @t2105)))))) % 6.51/6.71 (assume @p2535 (forall @t410 (=> @t3441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t3438 @t932)) @t3449))))) % 6.51/6.71 (assume @p2536 (forall @t448 (=> @t1658 (=> (tptp.hBOOL (tptp.hAPP @t3459 @t254)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3442) @t446)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3447) (tptp.hAPP @t2195 @t446)))))))) % 6.51/6.71 (assume @p2537 (forall @t410 (=> @t3441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t3438 @t3460)) @t3455))))) % 6.51/6.71 (assume @p2538 (forall @t410 (=> @t3441 (tptp.hBOOL (tptp.hAPP @t3461 @t3455))))) % 6.51/6.71 (assume @p2539 (forall @t410 (=> @t3441 (tptp.hBOOL (tptp.hAPP @t3461 @t3454))))) % 6.51/6.71 (assume @p2540 (forall @t405 (=> @t3441 (tptp.hBOOL (tptp.hAPP @t3462 @t3443))))) % 6.51/6.71 (assume @p2541 (forall @t114 (=> @t3441 (= (tptp.hBOOL (tptp.hAPP @t3457 @t109)) (and @t598 @t1326))))) % 6.51/6.71 (assume @p2542 (forall @t410 (=> @t3441 (=> @t269 (=> @t3463 @t3445))))) % 6.51/6.71 (assume @p2543 (forall @t410 (=> @t3441 (=> @t3445 @t3463)))) % 6.51/6.71 (assume @p2544 (forall @t114 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3450) @t109)) (and @t673 @t1331))))) % 6.51/6.71 (assume @p2545 (forall @t646 (=> @t3023 (=> @t2130 @t3444)))) % 6.51/6.71 (assume @p2546 (forall @t2525 (=> @t1658 (= (tptp.hAPP @t3438 @t2638) @t3453)))) % 6.51/6.71 (assume @p2547 (forall @t1156 (=> (= (tptp.hAPP @t3435 @t3464) @t2453) (= (tptp.hAPP @t3435 @t1152) @t2453)))) % 6.51/6.71 (assume @p2548 (forall @t3163 (=> @t1658 (= (tptp.hAPP @t3438 @t1161) (tptp.hAPP (tptp.hAPP @t1725 @t1161) (tptp.c_Groups_Osgn__class_Osgn @t8 @t1161)))))) % 6.51/6.71 (assume @p2549 (forall @t134 (=> @t1658 (= (tptp.hAPP (tptp.hAPP @t1725 @t3402) @t3465) @t132)))) % 6.51/6.71 (assume @p2550 (forall @t410 (=> (tptp.class_Rings_Oordered__ring__abs @t8) (=> (and (or @t2180 @t2174) (or @t2185 @t2173)) @t3448)))) % 6.51/6.71 (assume @p2551 (forall @t215 (=> @t1658 (=> @t2294 (= (tptp.hAPP (tptp.hAPP @t1725 (tptp.hAPP @t3438 @t210)) @t132) (tptp.hAPP @t3438 @t2291)))))) % 6.51/6.71 (assume @p2552 (forall @t410 (=> @t3441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3455) @t3449))))) % 6.51/6.71 (assume @p2553 (forall @t965 (=> @t3441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t3438 (tptp.hAPP @t977 @t1574))) (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t3438 (tptp.hAPP @t979 @t254))) (tptp.hAPP @t3438 (tptp.hAPP @t1334 @t446)))))))) % 6.51/6.71 (assume @p2554 (forall @t405 (=> @t3441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t1312 @t3443)) @t2105))))) % 6.51/6.71 (assume @p2555 (forall @t405 (=> @t3441 (=> @t2174 @t3466)))) % 6.51/6.71 (assume @p2556 (forall @t405 (=> (tptp.class_Groups_Oabs__if @t8) (and @t3467 (=> (not @t2211) @t3456))))) % 6.51/6.71 (assume @p2557 (forall @t405 (=> @t3441 @t3467))) % 6.51/6.71 (assume @p2558 (forall @t2525 (=> @t1658 (tptp.hBOOL (tptp.hAPP @t2177 @t3452))))) % 6.51/6.71 (assume @p2559 (forall @t276 (=> @t3022 (=> @t3033 (= (tptp.hAPP (tptp.hAPP @t2981 @t3465) @t210) (tptp.hAPP @t3438 @t3030)))))) % 6.51/6.71 (assume @p2560 (forall @t2552 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 (tptp.hAPP @t3435 @t315)) @t2453)) @t3178))) % 6.51/6.71 (assume @p2561 (forall @t3434 (and (=> @t3469 (= @t3468 (tptp.hAPP @t2427 @t1165))) (=> (not @t3469) (= @t3468 @t1165))))) % 6.51/6.71 (assume @p2562 (forall @t2615 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3435 @t2582)) (tptp.hAPP (tptp.hAPP @t1721 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3435 @t2566))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3435 @t272)))))) % 6.51/6.71 (assume @p2563 (forall @t2688 (tptp.hBOOL (tptp.hAPP @t2452 (tptp.hAPP (tptp.hAPP @t2463 @t3470) @t1153))))) % 6.51/6.71 (assume @p2564 (forall @t2620 (= (tptp.hBOOL (tptp.hAPP @t2486 (tptp.hAPP (tptp.hAPP @t2463 (tptp.hAPP @t3435 @t61)) @t692))) (or (not (= @t61 @t2450)) @t2145)))) % 6.51/6.71 (assume @p2565 (forall @t1311 (= (tptp.c_Nitpick_Oint__lcm @t132 @t210) (tptp.hAPP @t2425 (tptp.c_Nitpick_Onat__lcm @t3472 @t3471))))) % 6.51/6.71 (assume @p2566 (forall (@list @t690 @t2 @t692) (=> (forall @t2737 (=> @t3478 @t3476)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2891) @t690)) (=> @t3475 (exists @t2737 (and @t3474 @t3473))))))) % 6.51/6.71 (assume @p2567 (forall (@list @t315 @t3102) (and (=> @t3485 (= @t3484 @t3104)) (=> (not @t3485) (= @t3484 (tptp.hAPP (tptp.hAPP @t3483 (tptp.hAPP @t2614 @t3102)) @t3482)))))) % 6.51/6.71 (assume @p2568 (forall @t1216 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2468))))) % 6.51/6.71 (assume @p2569 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2453)))) % 6.51/6.71 (assume @p2570 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2450)))) % 6.51/6.71 (assume @p2571 (forall @t3218 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t61))) @t3101))) % 6.51/6.71 (assume @p2572 (forall (@list @t3486) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3486)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3486) @t2450))))) % 6.51/6.71 (assume @p2573 (forall @t2549 (=> @t3487 @t3126))) % 6.51/6.71 (assume @p2574 (forall @t2549 (=> (not @t3487) @t3137))) % 6.51/6.71 (assume @p2575 (forall @t1216 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2428)))) % 6.51/6.71 (assume @p2576 (forall @t1311 (= (tptp.c_Nitpick_Onat__lcm @t132 @t210) (tptp.hAPP (tptp.hAPP @t2935 @t2719) @t3488)))) % 6.51/6.71 (assume @p2577 (forall (@list @t692 @t51 @t2 @t8) (=> (= @t863 @t1780) (exists @t7 (and @t234 @t2114))))) % 6.51/6.71 (assume @p2578 (forall (@list @t210 @t1153 @t132) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t132 @t1153) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t210 @t1153)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t210) @t132)) (exists @t2965 (= @t132 (tptp.hAPP @t1218 (tptp.hAPP @t1814 @t2964)))))))) % 6.51/6.71 (assume @p2579 (forall @t3490 (= (tptp.c_Com_Ocom_Ocom__size @t3489) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1000 (tptp.c_Com_Ocom_Ocom__size @t552)) (tptp.c_Com_Ocom_Ocom__size @t549))) @t2095)))) % 6.51/6.71 (assume @p2580 (forall (@list @t3491 @t3492 @t109) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCond @t109 @t3492 @t3491))) (not (=> @t3493 (not (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t3491)))))))) % 6.51/6.71 (assume @p2581 (forall (@list @t549 @t552 @t238 @t101) (not (= @t104 @t3489)))) % 6.51/6.71 (assume @p2582 (forall (@list @t101 @t549 @t552 @t238) (not (= @t3489 @t104)))) % 6.51/6.71 (assume @p2583 (forall (@list @t354 @t352 @t353) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCond @t353 @t352 @t354))) @t571))) % 6.51/6.71 (assume @p2584 (forall (@list @t109 @t3492 @t375) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t375)) (=> @t3493 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCond @t109 @t375 @t3492))))))) % 6.51/6.71 (assume @p2585 (forall (@list @t549 @t552 @t238 @t289 @t237) (not (= @t546 @t3489)))) % 6.51/6.71 (assume @p2586 (forall (@list @t289 @t237 @t549 @t552 @t238) (not (= @t3489 @t546)))) % 6.51/6.71 (assume @p2587 (forall (@list @t548 @t551 @t237 @t549 @t552 @t238) (= (= @t3489 @t3494) (and @t239 @t553 @t550)))) % 6.51/6.71 (assume @p2588 (forall (@list @t549 @t552 @t548 @t551 @t237) (not (= @t3494 @t555)))) % 6.51/6.71 (assume @p2589 (forall (@list @t548 @t551 @t237 @t549 @t552) (not (= @t555 @t3494)))) % 6.51/6.71 (assume @p2590 (forall (@list @t237 @t101 @t240 @t549 @t552 @t238) (not (= @t3489 @t242)))) % 6.51/6.71 (assume @p2591 (forall (@list @t549 @t552 @t238 @t237 @t101 @t240) (not (= @t242 @t3489)))) % 6.51/6.71 (assume @p2592 (forall @t3495 (not (= @t3494 tptp.c_Com_Ocom_OSKIP)))) % 6.51/6.71 (assume @p2593 (forall @t3495 (not (= tptp.c_Com_Ocom_OSKIP @t3494)))) % 6.51/6.71 (assume @p2594 (forall @t2747 (and (=> @t3496 (= @t3488 @t132)) (=> (not @t3496) (= @t3488 (tptp.c_Nitpick_Onat__gcd @t210 @t3418)))))) % 6.51/6.71 (assume @p2595 (forall @t3490 (= (tptp.hAPP @t2973 @t3489) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t2973 @t552)) (tptp.hAPP @t2973 @t549))) @t2095)))) % 6.51/6.71 (assume @p2596 (forall @t1311 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t132) @t210) (tptp.hAPP @t2425 (tptp.c_Nitpick_Onat__gcd @t3472 @t3471))))) % 6.51/6.71 (assume @p2597 (forall (@list @t2 @t392 @t8 @t47) (=> @t1712 (=> @t1596 (=> (forall @t7 (=> @t1366 @t1918)) (= @t1916 @t1703)))))) % 6.51/6.71 (assume @p2598 (forall @t199 (=> @t363 (=> (=> @t309 @t2352) @t2257)))) % 6.51/6.71 (assume @p2599 (forall @t1396 (=> @t214 (=> @t363 (=> @t1365 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP (tptp.hAPP @t2001 @t18) @t51)) (tptp.hAPP (tptp.hAPP @t1930 @t109) @t18)))))))) % 6.51/6.71 (assume @p2600 (forall @t1396 (=> @t214 (=> @t363 (=> @t1395 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t2881 @t18)) (tptp.hAPP (tptp.hAPP @t2005 @t18) @t51)))))))) % 6.51/6.71 (assume @p2601 (forall (@list @t1034 @t136 @t2866) (=> (forall @t2737 (=> (tptp.hBOOL (tptp.hAPP @t3477 @t2866)) (=> @t2907 (tptp.hBOOL (tptp.hAPP @t136 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3497 @t2866)))))) (=> (tptp.hBOOL (tptp.hAPP @t136 @t1034)) (=> (tptp.hBOOL (tptp.hAPP @t1270 @t2866)) @t2304))))) % 6.51/6.71 (assume @p2602 (forall @t1375 (=> (forall @t2080 (=> @t3499 @t3498)) @t1934))) % 6.51/6.71 (assume @p2603 (forall (@list @t315 @t356 @t1 @t51 @t8 @t47) (=> @t1890 (=> @t363 (=> (forall @t7 (=> @t234 (= @t4 @t511))) (= @t1889 (tptp.hAPP (tptp.hAPP @t1885 @t315) @t51))))))) % 6.51/6.71 (assume @p2604 (forall @t336 (=> @t214 (=> @t363 (=> (forall @t44 (=> @t3501 (tptp.hBOOL (tptp.hAPP @t220 @t42)))) (=> @t156 @t1929)))))) % 6.51/6.71 (assume @p2605 (forall @t336 (=> @t214 (=> @t363 (=> (forall @t44 (=> @t3501 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t42) @t61)))) (=> @t156 @t1933)))))) % 6.51/6.71 (assume @p2606 (forall @t3505 (=> (tptp.hBOOL (tptp.hAPP @t2103 @t3503)) (= @t3503 (tptp.hAPP tptp.c_Nat_OSuc @t3504))))) % 6.51/6.71 (assume @p2607 (forall @t3508 (= (tptp.hAPP @t2973 @t3507) @t2978))) % 6.51/6.71 (assume @p2608 (forall (@list @t18 @t13 @t144) (=> @t3509 @t22))) % 6.51/6.71 (assume @p2609 (forall (@list @t548 @t551 @t237 @t290 @t238 @t3506) (not (= @t3507 @t3494)))) % 6.51/6.71 (assume @p2610 (forall (@list @t290 @t238 @t3506 @t548 @t551 @t237) (not (= @t3494 @t3507)))) % 6.51/6.71 (assume @p2611 (forall (@list @t101 @t290 @t238 @t3506) (not (= @t3507 @t104)))) % 6.51/6.71 (assume @p2612 (forall (@list @t290 @t238 @t3506 @t101) (not (= @t104 @t3507)))) % 6.51/6.71 (assume @p2613 (forall (@list @t13 @t144 @t18) (=> @t22 @t3509))) % 6.51/6.71 (assume @p2614 (forall (@list @t352 @t353 @t354) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t354 @t353 @t352))) @t565))) % 6.51/6.71 (assume @p2615 (forall @t3163 (=> @t3512 (= @t3511 @t3160)))) % 6.51/6.71 (assume @p2616 (forall @t3516 (=> @t3512 (= (tptp.hAPP @t3159 @t3515) @t3513)))) % 6.51/6.71 (assume @p2617 (forall (@list @t289 @t237 @t3517 @t290 @t238 @t3506) (= (= @t3507 @t3518) (and (= @t3506 @t3517) @t239 @t291)))) % 6.51/6.71 (assume @p2618 (forall (@list @t61 @t1773 @t8) (=> @t3520 (= (= @t3519 @t61) (= @t61 @t3519))))) % 6.51/6.71 (assume @p2619 (forall @t224 (=> @t3524 (= @t3523 @t222)))) % 6.51/6.71 (assume @p2620 (forall @t3516 (=> @t3512 (and (=> @t3527 @t3528) (=> (not @t3527) @t3526))))) % 6.51/6.71 (assume @p2621 (forall (@list @t289 @t237 @t290 @t238 @t3506) (not (= @t3507 @t546)))) % 6.51/6.71 (assume @p2622 (forall (@list @t290 @t238 @t3506 @t289 @t237) (not (= @t546 @t3507)))) % 6.51/6.71 (assume @p2623 (forall @t3516 (=> @t3512 (and (=> @t3529 @t3526) (=> @t3530 @t3528))))) % 6.51/6.71 (assume @p2624 (forall @t3531 (not (= @t3518 tptp.c_Com_Ocom_OSKIP)))) % 6.51/6.71 (assume @p2625 (forall @t3531 (not (= tptp.c_Com_Ocom_OSKIP @t3518)))) % 6.51/6.71 (assume @p2626 (forall (@list @t548 @t551 @t290 @t238 @t3506) (not (= @t3507 @t554)))) % 6.51/6.71 (assume @p2627 (forall (@list @t290 @t238 @t3506 @t548 @t551) (not (= @t554 @t3507)))) % 6.51/6.71 (assume @p2628 (forall (@list @t237 @t101 @t240 @t290 @t238 @t3506) (not (= @t3507 @t242)))) % 6.51/6.71 (assume @p2629 (forall (@list @t290 @t238 @t3506 @t237 @t101 @t240) (not (= @t242 @t3507)))) % 6.51/6.71 (assume @p2630 (forall @t3534 (=> (and @t3520 @t214) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3532) @t3519)) (not (tptp.hBOOL (tptp.hAPP @t3533 @t3532))))))) % 6.51/6.71 (assume @p2631 (forall @t3541 (=> @t3540 (= (tptp.hAPP (tptp.hAPP @t1704 (tptp.hAPP (tptp.hAPP @t912 @t255) @t38)) @t3536) (tptp.hAPP (tptp.hAPP @t912 @t3538) @t3537))))) % 6.51/6.71 (assume @p2632 (forall @t3545 (=> @t3540 (= (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP @t912 @t38) @t254)) (tptp.hAPP (tptp.hAPP @t912 @t3544) @t3543))))) % 6.51/6.71 (assume @p2633 (forall @t3545 (=> @t3546 (= (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP @t723 @t38) @t254)) (tptp.hAPP (tptp.hAPP @t723 @t3544) @t3543))))) % 6.51/6.71 (assume @p2634 (forall @t3541 (=> @t3546 (= (tptp.hAPP (tptp.hAPP @t1704 (tptp.hAPP (tptp.hAPP @t723 @t255) @t38)) @t3536) (tptp.hAPP (tptp.hAPP @t723 @t3538) @t3537))))) % 6.51/6.71 (assume @p2635 (forall @t224 (=> @t3548 (= (tptp.hBOOL (tptp.hAPP @t3547 @t3521)) @t3135)))) % 6.51/6.71 (assume @p2636 (forall @t224 (=> @t3548 (= (tptp.hBOOL (tptp.hAPP @t3549 @t3521)) @t3142)))) % 6.51/6.71 (assume @p2637 (forall @t3555 (=> @t3554 (and (=> @t3552 (= @t3551 @t3550)) (=> @t3553 (= @t3551 @t3536)))))) % 6.51/6.71 (assume @p2638 (forall @t3555 (=> @t3554 (and (=> @t3552 (= @t3556 @t3536)) (=> @t3553 (= @t3556 @t3550)))))) % 6.51/6.71 (assume @p2639 (forall @t3562 (=> @t3512 (= (tptp.hAPP @t3561 (tptp.hAPP (tptp.hAPP @t928 @t3560) @t272)) (tptp.hAPP (tptp.hAPP @t928 @t3559) @t272))))) % 6.51/6.71 (assume @p2640 (forall @t3564 (=> @t3512 (= @t3563 @t3559)))) % 6.51/6.71 (assume @p2641 (forall @t3564 (=> @t3512 (= @t3559 @t3563)))) % 6.51/6.71 (assume @p2642 (forall @t3562 (=> @t3512 (= (tptp.hAPP @t3568 (tptp.hAPP (tptp.hAPP @t1725 @t3560) @t272)) (tptp.hAPP (tptp.hAPP @t1725 @t3567) @t272))))) % 6.51/6.71 (assume @p2643 (forall @t3564 (=> @t3512 (= @t3569 @t3567)))) % 6.51/6.71 (assume @p2644 (forall @t3564 (=> @t3512 (= @t3567 @t3569)))) % 6.51/6.71 (assume @p2645 (forall @t3564 (=> @t3512 (= (tptp.hAPP @t3510 (tptp.hAPP (tptp.hAPP @t2494 @t2337) @t2566)) @t3571)))) % 6.51/6.71 (assume @p2646 (forall @t3574 (=> @t3512 (= @t3573 @t3572)))) % 6.51/6.71 (assume @p2647 (forall @t3574 (=> @t3512 (= @t3572 @t3573)))) % 6.51/6.71 (assume @p2648 (forall @t3576 (=> @t3512 (tptp.hBOOL (tptp.hAPP @t3575 @t2417))))) % 6.51/6.71 (assume @p2649 (forall @t3583 (=> @t3582 (= (= @t13 @t3581) (and (=> @t3580 (= @t3579 @t109)) @t3578))))) % 6.51/6.71 (assume @p2650 (forall @t3586 (=> @t3582 (= (= @t3519 @t2996) (and (=> @t2999 (= @t3585 @t109)) @t3584))))) % 6.51/6.71 (assume @p2651 (forall @t3587 (=> @t3582 (= (= @t2996 @t3519) (and (=> @t2999 (= @t109 @t3585)) @t3584))))) % 6.51/6.71 (assume @p2652 (forall @t3588 (=> @t3582 (= (= @t3581 @t13) (and (=> @t3580 (= @t109 @t3579)) @t3578))))) % 6.51/6.71 (assume @p2653 (forall (@list @t254 @t2566 @t2337 @t8) (=> @t3512 (= (tptp.hAPP @t3561 (tptp.hAPP (tptp.hAPP @t557 @t3560) @t254)) (tptp.hAPP (tptp.hAPP @t557 @t3559) @t254))))) % 6.51/6.71 (assume @p2654 (forall @t3182 (=> @t3512 (= (tptp.hAPP (tptp.hAPP @t1725 @t3572) @t272) (tptp.hAPP (tptp.hAPP @t1725 @t3573) @t272))))) % 6.51/6.71 (assume @p2655 (forall @t3564 (=> @t3512 (= @t3571 @t3590)))) % 6.51/6.71 (assume @p2656 (forall @t3583 (=> @t3597 (= (tptp.hBOOL (tptp.hAPP @t672 @t3581)) (and (=> @t3594 @t3596) (=> @t3595 (and (=> @t3591 @t3593) (=> @t3592 @t2217)))))))) % 6.51/6.71 (assume @p2657 (forall @t3586 (=> @t3597 (= (tptp.hBOOL (tptp.hAPP @t3533 @t2996)) (and (=> @t2224 @t3599) (=> @t3059 (and (=> @t2223 @t3598) (=> @t3057 @t3591)))))))) % 6.51/6.71 (assume @p2658 (forall @t3587 (=> @t3597 (= (tptp.hBOOL (tptp.hAPP @t3062 @t3519)) (and (=> @t2224 @t3598) (=> @t3059 (and (=> @t2223 @t3599) (=> @t3057 @t3594)))))))) % 6.51/6.71 (assume @p2659 (forall @t3588 (=> @t3597 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3581) @t13)) (and (=> @t3594 @t3593) (=> @t3595 (and (=> @t3591 @t3596) (=> @t3592 @t2219)))))))) % 6.51/6.71 (assume @p2660 (forall @t134 (=> @t3548 (and (=> @t3602 (= @t3601 (tptp.hAPP @t1312 @t3600))) (=> (not @t3602) (= @t3601 @t3600)))))) % 6.51/6.71 (assume @p2661 (forall (@list @t2566 @t254 @t2337 @t8) (=> @t3512 (= (tptp.hAPP @t3561 (tptp.hAPP (tptp.hAPP @t557 @t254) @t3560)) (tptp.hAPP (tptp.hAPP @t928 @t3590) @t254))))) % 6.51/6.71 (assume @p2662 (forall @t3583 (=> @t3597 (= (tptp.hBOOL (tptp.hAPP @t597 @t3581)) (and (=> @t3594 @t3604) (=> @t3595 (and (=> @t3591 @t3603) (=> @t3592 @t2186)))))))) % 6.51/6.71 (assume @p2663 (forall @t3586 (=> @t3597 (= (tptp.hBOOL (tptp.hAPP @t3605 @t2996)) (and (=> @t2224 @t3607) (=> @t3059 (and (=> @t2223 @t3606) (=> @t3057 (tptp.hBOOL (tptp.hAPP @t3605 @t2105)))))))))) % 6.51/6.71 (assume @p2664 (forall @t3587 (=> @t3597 (= (tptp.hBOOL (tptp.hAPP @t3025 @t3519)) (and (=> @t2224 @t3606) (=> @t3059 (and (=> @t2223 @t3607) (=> @t3057 (tptp.hBOOL (tptp.hAPP @t2177 @t3519)))))))))) % 6.51/6.71 (assume @p2665 (forall @t3588 (=> @t3597 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3581) @t13)) (and (=> @t3594 @t3603) (=> @t3595 (and (=> @t3591 @t3604) (=> @t3592 @t2187)))))))) % 6.51/6.71 (assume @p2666 (forall @t3508 (= (tptp.c_Com_Ocom_Ocom__size @t3507) @t2515))) % 6.51/6.71 (assume @p2667 (forall @t3614 (and (=> @t3612 (= @t3611 @t2095)) (=> @t3613 (= @t3611 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2453 @t3609))))))) % 6.51/6.71 (assume @p2668 (forall @t3614 (= (tptp.hAPP (tptp.hAPP @t2935 @t2095) @t3610) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3615 @t3609))))) % 6.51/6.71 (assume @p2669 (forall (@list @t1865 @t1773 @t8) (=> @t3512 (and (=> @t3621 (= @t3619 (tptp.hAPP @t3628 (tptp.hAPP (tptp.hAPP @t3625 (tptp.hAPP @t3624 (tptp.hAPP @t1725 @t3532))) @t145)))) (=> @t3622 (= @t3619 @t1625)))))) % 6.51/6.71 (assume @p2670 (forall @t3634 (and (=> @t3529 (= @t3632 (tptp.hAPP @t3633 @t3629))) (=> @t3530 (= @t3632 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3630 @t3629))))))) % 6.51/6.71 (assume @p2671 (forall @t2546 (= (tptp.hAPP @t3514 @t1161) @t1161))) % 6.51/6.71 (assume @p2672 (forall @t2561 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3636) @t3635)) @t2560))) % 6.51/6.71 (assume @p2673 (forall @t2561 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t3636) @t3635)) @t3637))) % 6.51/6.71 (assume @p2674 (forall @t2602 (= @t3639 (tptp.hAPP @t3514 @t2603)))) % 6.51/6.71 (assume @p2675 (forall @t3634 (= (tptp.hAPP (tptp.hAPP @t2466 @t3515) @t3638) (tptp.hAPP @t3514 @t3566)))) % 6.51/6.71 (assume @p2676 (forall @t3634 (= (tptp.hAPP @t3640 @t3638) (tptp.hAPP @t3514 @t3558)))) % 6.51/6.71 (assume @p2677 (forall @t3642 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t3514 @t3616))) @t3641))) % 6.51/6.71 (assume @p2678 (forall @t2561 (= (tptp.hBOOL (tptp.hAPP @t3645 @t3643)) @t2560))) % 6.51/6.71 (assume @p2679 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP @t3651 @t3649)) @t3648))) % 6.51/6.71 (assume @p2680 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP @t3654 @t3649)) @t3653))) % 6.51/6.71 (assume @p2681 (forall @t2561 (= (tptp.hBOOL (tptp.hAPP @t3655 @t3643)) @t3637))) % 6.51/6.71 (assume @p2682 (forall @t2561 (= (= @t3644 @t3643) @t3656))) % 6.51/6.71 (assume @p2683 (forall @t2602 (= @t3638 (tptp.hAPP @t3177 @t2566)))) % 6.51/6.71 (assume @p2684 (forall @t3642 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3616) @t2450)) @t3657))) % 6.51/6.71 (assume @p2685 (forall @t2546 (= @t3658 (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP @t2455 @t1161)) @t1161)))) % 6.51/6.71 (assume @p2686 (forall @t3505 (= @t3503 (tptp.hAPP tptp.c_Int_Onat @t3515)))) % 6.51/6.71 (assume @p2687 (forall @t2602 (= (tptp.hAPP tptp.c_Int_Onat @t3638) @t3629))) % 6.51/6.71 (assume @p2688 (forall @t3642 (and (=> @t3641 (= @t3617 @t2094)) (=> (not @t3641) (= @t3617 (tptp.hAPP @t3660 (tptp.hAPP @t2363 @t3659))))))) % 6.51/6.71 (assume @p2689 (forall @t3574 (=> @t3512 (= @t3662 (tptp.hAPP (tptp.hAPP @t928 @t3661) @t3560))))) % 6.51/6.71 (assume @p2690 (forall @t3176 (=> @t3512 (and (=> @t3621 (= @t3664 (tptp.hAPP @t3665 (tptp.hAPP (tptp.hAPP @t3625 (tptp.hAPP @t3624 @t2012)) @t145)))) (=> @t3622 (= @t3664 @t1625)))))) % 6.51/6.71 (assume @p2691 (forall @t2461 (and (=> @t3621 (= @t3667 (tptp.hAPP @t3672 (tptp.hAPP (tptp.hAPP @t3671 (tptp.hAPP (tptp.hAPP @t3670 @t2466) (tptp.hAPP @t2466 @t315))) @t3668)))) (=> @t3622 (= @t3667 @t2453))))) % 6.51/6.71 (assume @p2692 (forall @t3634 (= (tptp.hAPP (tptp.hAPP @t2494 @t3515) @t3638) (tptp.hAPP @t3514 @t3589)))) % 6.51/6.71 (assume @p2693 (forall @t3505 (=> @t3529 @t3673))) % 6.51/6.71 (assume @p2694 (forall (@list @t1865 @t337) (= (= @t2446 @t3674) (and (= @t337 (tptp.hAPP tptp.c_Int_Onat @t3674)) (tptp.hBOOL (tptp.hAPP @t2452 @t3674)))))) % 6.51/6.71 (assume @p2695 (forall @t3681 (= (= @t3680 @t3679) (and (=> @t3678 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t3676) @t2450))) (=> (not @t3678) (and (=> @t3677 (= @t3674 @t2450)) (=> (not @t3677) (= @t1865 @t3675)))))))) % 6.51/6.71 (assume @p2696 (forall @t3686 (and (=> @t3529 (= @t3685 @t3683)) (=> @t3530 (and (=> @t3612 (= @t3685 (tptp.hAPP @t3684 @t1161))) (=> @t3613 (= @t3685 (tptp.hAPP (tptp.hAPP @t1000 @t3682) @t1161)))))))) % 6.51/6.71 (assume @p2697 (forall @t3505 (and (=> @t3529 (= @t3687 @t2450)) (=> @t3530 (= @t3687 @t3515))))) % 6.51/6.71 (assume @p2698 (forall @t3689 (and (=> @t3529 (= @t3688 @t2094)) (=> @t3530 (and (=> @t3612 (= @t3688 @t3503)) (=> @t3613 (= @t3688 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3515 @t3609))))))))) % 6.51/6.71 (assume @p2699 (forall @t3689 (and (=> @t3529 (= @t3691 @t2094)) (=> @t3530 (= @t3691 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3690 @t3609))))))) % 6.51/6.71 (assume @p2700 (forall @t3693 (and (=> @t3529 (= @t3692 (tptp.hAPP @t3633 @t1153))) (=> @t3530 (= @t3692 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3630 @t1153))))))) % 6.51/6.71 (assume @p2701 (forall @t3693 (and (=> @t3529 (= @t3695 @t1904)) (=> @t3530 (= @t3695 (tptp.hAPP (tptp.hAPP @t1000 @t3694) @t1153)))))) % 6.51/6.71 (assume @p2702 (forall (@list @t1865 @t3675) (and (=> @t3697 (= @t3696 @t3680)) (=> (not @t3697) (= @t3696 (tptp.hAPP (tptp.hAPP @t3483 (tptp.hAPP @t3514 (tptp.hAPP (tptp.hAPP @t2454 @t1865) (tptp.hAPP @t2427 @t3675)))) @t3482)))))) % 6.51/6.71 (assume @p2703 (forall @t3704 (= (tptp.hAPP (tptp.hAPP @t1983 @t3680) @t1780) (tptp.hAPP @t3703 (tptp.hAPP @t3481 (tptp.hAPP @t3701 (tptp.hAPP (tptp.hAPP @t3699 (tptp.hAPP (tptp.hAPP @t3698 @t1983) tptp.c_Int_Onat)) @t692))))))) % 6.51/6.71 (assume @p2704 (forall @t3705 (= (tptp.hAPP @t2368 @t3680) (tptp.hAPP @t3703 (tptp.hAPP @t3481 (tptp.hAPP @t3701 (tptp.hAPP (tptp.hAPP @t3700 @t2367) tptp.c_Int_Onat))))))) % 6.51/6.71 (assume @p2705 (forall @t2546 (not (= @t3658 tptp.c_Int_OPls)))) % 6.51/6.71 (assume @p2706 (forall @t3707 (not (= tptp.c_Int_OPls @t3706)))) % 6.51/6.71 (assume @p2707 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t3708)) % 6.51/6.71 (assume @p2708 (forall @t2546 (= (tptp.hAPP @t3709 tptp.c_Int_OPls) @t1161))) % 6.51/6.71 (assume @p2709 (forall @t2602 (= (tptp.hAPP (tptp.hAPP @t2466 tptp.c_Int_OPls) @t2566) tptp.c_Int_OPls))) % 6.51/6.71 (assume @p2710 (forall @t3300 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t132)) @t132))) % 6.51/6.71 (assume @p2711 (forall @t2546 (= (tptp.hAPP @t2595 tptp.c_Int_OPls) @t1161))) % 6.51/6.71 (assume @p2712 (forall @t2546 (= (tptp.hAPP @t3710 @t1161) @t1161))) % 6.51/6.71 (assume @p2713 (not (tptp.hBOOL (tptp.hAPP @t3711 tptp.c_Int_OPls)))) % 6.51/6.71 (assume @p2714 (tptp.hBOOL (tptp.hAPP @t3712 tptp.c_Int_OPls))) % 6.51/6.71 (assume @p2715 (= tptp.c_Int_OPls @t2450)) % 6.51/6.71 (assume @p2716 (= @t3713 tptp.c_Int_OPls)) % 6.51/6.71 (assume @p2717 (forall @t365 (=> @t3512 (= @t3714 @t2105)))) % 6.51/6.71 (assume @p2718 (forall @t365 (=> @t3512 (= @t2105 @t3714)))) % 6.51/6.71 (assume @p2719 (forall @t405 (=> @t3512 (= (tptp.hAPP (tptp.hAPP @t928 @t3714) @t255) @t255)))) % 6.51/6.71 (assume @p2720 (forall @t405 (=> @t3512 (= (tptp.hAPP @t931 @t3714) @t255)))) % 6.51/6.71 (assume @p2721 (not (tptp.hBOOL (tptp.hAPP @t3711 @t2450)))) % 6.51/6.71 (assume @p2722 (= @t3715 @t2094)) % 6.51/6.71 (assume @p2723 (= @t2094 @t3715)) % 6.51/6.71 (assume @p2724 (= @t2450 @t3716)) % 6.51/6.71 (assume @p2725 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3712 @t3644)) @t3717))) % 6.51/6.71 (assume @p2726 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3645 tptp.c_Int_OPls)) @t3718))) % 6.51/6.71 (assume @p2727 (forall (@list @t1152 @t2337) (=> (tptp.hBOOL (tptp.hAPP @t3711 @t2337)) (= (tptp.hAPP @t1809 @t3503) (tptp.hAPP @t1170 @t3719))))) % 6.51/6.71 (assume @p2728 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3716)))) % 6.51/6.71 (assume @p2729 (forall @t3505 (and (=> @t3721 (= @t3720 @t1615)) (=> @t3722 (= @t3720 @t3694))))) % 6.51/6.71 (assume @p2730 (forall @t3505 (and (=> @t3721 (= @t3723 @t1615)) (=> @t3722 (= @t3723 @t3694))))) % 6.51/6.71 (assume @p2731 (forall @t2561 (= @t3637 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 (tptp.c_Int_Opred @t690)) @t1653))))) % 6.51/6.71 (assume @p2732 (forall @t2546 (= (tptp.hAPP @t2427 @t3658) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t3162))))) % 6.51/6.71 (assume @p2733 (forall @t2546 (= @t3724 (tptp.hAPP @t3709 @t2453)))) % 6.51/6.71 (assume @p2734 (forall @t3505 (and (=> @t3725 (= @t3504 @t2094)) (=> (not @t3725) (= @t3504 @t3719))))) % 6.51/6.71 (assume @p2735 (forall @t405 (=> @t3512 (= (tptp.hAPP @t1726 @t3726) @t255)))) % 6.51/6.71 (assume @p2736 (forall @t405 (=> @t3512 (= (tptp.hAPP (tptp.hAPP @t1725 @t3726) @t255) @t255)))) % 6.51/6.71 (assume @p2737 (forall @t134 (=> @t3727 (= (tptp.hAPP @t3029 @t3714) @t2105)))) % 6.51/6.71 (assume @p2738 (forall @t365 (=> @t3512 (= @t1625 @t3726)))) % 6.51/6.71 (assume @p2739 (forall @t365 (=> @t3512 (= @t3726 @t1625)))) % 6.51/6.71 (assume @p2740 (forall @t3730 (= (= @t2094 @t3680) @t3729))) % 6.51/6.71 (assume @p2741 (forall @t3730 (= @t3731 @t3729))) % 6.51/6.71 (assume @p2742 (tptp.hBOOL (tptp.hAPP @t2452 @t3716))) % 6.51/6.71 (assume @p2743 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3655 tptp.c_Int_OPls)) @t3718))) % 6.51/6.71 (assume @p2744 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3711 @t3644)) @t3717))) % 6.51/6.71 (assume @p2745 (forall @t3681 (= (tptp.hBOOL (tptp.hAPP @t3733 @t3679)) (and (=> @t3732 (tptp.hBOOL (tptp.hAPP @t3711 @t3675))) @t3732)))) % 6.51/6.71 (assume @p2746 (forall @t405 (=> @t3734 (= (tptp.hAPP @t2982 @t3726) @t255)))) % 6.51/6.71 (assume @p2747 (forall @t134 (=> @t3734 (= (tptp.hAPP @t3029 @t3726) @t132)))) % 6.51/6.71 (assume @p2748 (forall @t3681 (= (tptp.hBOOL (tptp.hAPP @t3735 @t3679)) (=> (not (tptp.hBOOL (tptp.hAPP @t3728 @t3675))) @t3729)))) % 6.51/6.71 (assume @p2749 (= @t2453 (tptp.hAPP @t3514 @t3708))) % 6.51/6.71 (assume @p2750 (= @t1615 @t3736)) % 6.51/6.71 (assume @p2751 (= @t3736 @t1615)) % 6.51/6.71 (assume @p2752 (tptp.c_Nat__Transfer_Ois__nat @t3738)) % 6.51/6.71 (assume @p2753 (forall @t2546 (= @t3739 (tptp.hAPP @t2595 @t2453)))) % 6.51/6.71 (assume @p2754 (forall @t3740 (=> @t3548 (= (tptp.hBOOL (tptp.hAPP @t2177 @t3521)) (tptp.hBOOL (tptp.hAPP @t3712 @t64)))))) % 6.51/6.71 (assume @p2755 (forall @t130 (=> @t3548 (= (tptp.hBOOL (tptp.hAPP @t3547 @t2105)) (tptp.hBOOL (tptp.hAPP @t3134 tptp.c_Int_OPls)))))) % 6.51/6.71 (assume @p2756 (forall @t130 (=> @t3548 (= (tptp.hBOOL (tptp.hAPP @t3549 @t2105)) (tptp.hBOOL (tptp.hAPP @t3141 tptp.c_Int_OPls)))))) % 6.51/6.71 (assume @p2757 (forall @t3740 (=> @t3548 (= (tptp.hBOOL (tptp.hAPP @t2212 @t3521)) (tptp.hBOOL (tptp.hAPP @t3711 @t64)))))) % 6.51/6.71 (assume @p2758 (forall @t3730 (= (tptp.hBOOL (tptp.hAPP @t2103 @t3680)) (tptp.hBOOL (tptp.hAPP @t3711 @t1865))))) % 6.51/6.71 (assume @p2759 (= @t3741 (tptp.hAPP tptp.c_Nat_OSuc @t2377))) % 6.51/6.71 (assume @p2760 (= @t3736 @t2095)) % 6.51/6.71 (assume @p2761 (forall @t405 (=> @t1790 (= (tptp.hAPP @t2519 @t3741) (tptp.hAPP (tptp.hAPP @t1725 @t1727) @t255))))) % 6.51/6.71 (assume @p2762 (tptp.hBOOL (tptp.hAPP @t2452 @t3738))) % 6.51/6.71 (assume @p2763 (forall @t1216 (= @t3745 @t3743))) % 6.51/6.71 (assume @p2764 (forall @t3689 (and (=> @t3721 (= @t3746 @t3610)) (=> @t3722 (and (=> @t3747 (= @t3746 @t3503)) (=> (not @t3747) (= @t3746 @t3682))))))) % 6.51/6.71 (assume @p2765 (= @t3738 (tptp.hAPP @t2425 @t3741))) % 6.51/6.71 (assume @p2766 (= @t3741 (tptp.hAPP tptp.c_Int_Onat @t3738))) % 6.51/6.71 (assume @p2767 (forall @t3163 (=> @t3512 (= (tptp.hAPP @t3510 @t3739) (tptp.hAPP @t1845 @t3511))))) % 6.51/6.71 (assume @p2768 (forall @t3574 (=> @t3512 (= (tptp.hAPP @t3510 (tptp.c_Int_Opred @t2566)) (tptp.hAPP (tptp.hAPP @t928 @t1853) @t3560))))) % 6.51/6.71 (assume @p2769 (forall @t3740 (=> @t3548 (= (tptp.hBOOL (tptp.hAPP @t2244 @t3521)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t3708) @t64)))))) % 6.51/6.71 (assume @p2770 (forall @t130 (=> @t3548 (= (tptp.hBOOL (tptp.hAPP @t3547 @t1625)) (tptp.hBOOL (tptp.hAPP @t3134 @t3708)))))) % 6.51/6.71 (assume @p2771 (forall @t130 (=> @t3548 (= (tptp.hBOOL (tptp.hAPP @t3549 @t1625)) (tptp.hBOOL (tptp.hAPP @t3141 @t3708)))))) % 6.51/6.71 (assume @p2772 (forall @t3740 (=> @t3548 (= (tptp.hBOOL (tptp.hAPP @t1836 @t3521)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3708) @t64)))))) % 6.51/6.71 (assume @p2773 (forall @t3516 (=> @t3512 (= (tptp.hAPP @t3561 @t1625) (tptp.hAPP @t3510 (tptp.hAPP @t3557 @t3708)))))) % 6.51/6.71 (assume @p2774 (forall @t3574 (=> @t3512 (= @t3661 (tptp.hAPP @t3510 (tptp.hAPP @t3748 @t2566)))))) % 6.51/6.71 (assume @p2775 (forall @t1160 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t3715) @t1153)) (= @t1810 (tptp.hAPP @t1170 (tptp.hAPP @t1267 @t3736)))))) % 6.51/6.71 (assume @p2776 (forall @t3686 (and (=> @t3721 (= @t3751 @t2094)) (=> @t3722 (= @t3751 (tptp.hAPP (tptp.hAPP @t1721 @t3749) @t1161)))))) % 6.51/6.71 (assume @p2777 (forall @t3689 (and (=> @t3721 (= @t3752 @t2094)) (=> @t3722 (= @t3752 @t3749))))) % 6.51/6.71 (assume @p2778 (forall @t3730 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3702)) @t3731))) % 6.51/6.71 (assume @p2779 (forall @t3756 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3755 @t3503) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3753 @t3503)))) % 6.51/6.71 (assume @p2780 (forall @t1156 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3755 @t1153) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3753 @t1153)))) % 6.51/6.71 (assume @p2781 (forall @t1156 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1152 @t3745) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1152 @t3743)))) % 6.51/6.71 (assume @p2782 (forall @t3756 (= (tptp.hAPP @t3758 @t3503) (tptp.hAPP @t3757 @t3503)))) % 6.51/6.71 (assume @p2783 (forall @t1156 (= (tptp.hAPP @t3758 @t1153) (tptp.hAPP @t3757 @t1153)))) % 6.51/6.71 (assume @p2784 (forall @t1156 (= (tptp.hAPP @t2937 @t3745) (tptp.hAPP @t2937 @t3743)))) % 6.51/6.71 (assume @p2785 (forall @t3574 (=> @t3512 (= (tptp.hAPP (tptp.hAPP @t557 @t1625) @t3560) (tptp.hAPP @t3510 (tptp.hAPP @t3748 @t2603)))))) % 6.51/6.71 (assume @p2786 (forall @t3516 (=> @t3512 (= (tptp.hAPP @t3570 @t1625) (tptp.hAPP @t3510 (tptp.hAPP @t3557 @t3759)))))) % 6.51/6.71 (assume @p2787 (forall @t3705 (= (= @t1780 @t3680) @t3767))) % 6.51/6.71 (assume @p2788 (forall @t3704 (= (= @t3680 @t1780) @t3767))) % 6.51/6.71 (assume @p2789 (forall @t3774 (= (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t3680) (tptp.hAPP @t3773 (tptp.hAPP @t3771 @t3112))))) % 6.51/6.71 (assume @p2790 (forall @t3704 (= (tptp.hBOOL (tptp.hAPP @t3733 @t1780)) (tptp.hBOOL (tptp.hAPP @t3766 (tptp.hAPP @t3764 (tptp.hAPP (tptp.hAPP @t3761 (tptp.hAPP (tptp.hAPP @t3760 @t1199) tptp.c_Int_Onat)) @t692))))))) % 6.51/6.71 (assume @p2791 (forall @t3705 (= (tptp.hBOOL (tptp.hAPP @t3231 @t3680)) (tptp.hBOOL (tptp.hAPP @t3766 (tptp.hAPP @t3765 (tptp.hAPP @t3764 (tptp.hAPP (tptp.hAPP @t3157 @t1303) tptp.c_Int_Onat)))))))) % 6.51/6.71 (assume @p2792 (forall @t3705 (= (tptp.hBOOL (tptp.hAPP @t1805 @t3680)) (tptp.hBOOL (tptp.hAPP @t3766 (tptp.hAPP @t3765 (tptp.hAPP @t3764 (tptp.hAPP (tptp.hAPP @t3157 @t1803) tptp.c_Int_Onat)))))))) % 6.51/6.71 (assume @p2793 (forall @t3704 (= (tptp.hBOOL (tptp.hAPP @t3735 @t1780)) (tptp.hBOOL (tptp.hAPP @t3766 (tptp.hAPP @t3764 (tptp.hAPP (tptp.hAPP @t3761 (tptp.hAPP (tptp.hAPP @t3760 @t1184) tptp.c_Int_Onat)) @t692))))))) % 6.51/6.71 (assume @p2794 (forall @t3505 (and (=> @t3529 (= @t3775 @t1615)) (=> @t3530 (= @t3775 @t3694))))) % 6.51/6.71 (assume @p2795 (forall @t3704 (= (tptp.hAPP (tptp.hAPP @t1982 @t3680) @t1780) (tptp.hAPP @t3703 (tptp.hAPP @t3776 (tptp.hAPP @t3701 (tptp.hAPP (tptp.hAPP @t3699 (tptp.hAPP (tptp.hAPP @t3698 @t1982) tptp.c_Int_Onat)) @t692))))))) % 6.51/6.71 (assume @p2796 (forall @t3705 (= (tptp.hAPP @t2365 @t3680) (tptp.hAPP @t3703 (tptp.hAPP @t3776 (tptp.hAPP @t3701 (tptp.hAPP (tptp.hAPP @t3700 @t2364) tptp.c_Int_Onat))))))) % 6.51/6.71 (assume @p2797 (forall @t3779 (= (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t3778) (tptp.hAPP @t3773 (tptp.hAPP (tptp.hAPP @t3770 (tptp.hAPP @t3769 (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t692))) (tptp.hAPP @t3111 @t3777)))))) % 6.51/6.71 (assume @p2798 (forall @t3779 (= (tptp.hAPP @t3780 @t3778) (tptp.hAPP @t3773 (tptp.hAPP (tptp.hAPP @t3770 (tptp.hAPP @t3769 (tptp.hAPP @t3780 @t692))) (tptp.hAPP (tptp.hAPP @t3770 (tptp.hAPP @t3782 @t3777)) (tptp.hAPP @t3781 @t3777))))))) % 6.51/6.71 (assume @p2799 (forall @t3740 (=> @t3512 (= (= @t1625 @t3521) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3510 (tptp.hAPP @t3748 @t3783))))))) % 6.51/6.71 (assume @p2800 (forall @t130 (=> @t3512 (= (= @t3522 @t1625) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3510 (tptp.hAPP @t3784 @t3759))))))) % 6.51/6.71 (assume @p2801 (forall @t3774 (= (tptp.hAPP @t3780 @t3680) (tptp.hAPP @t3773 (tptp.hAPP @t3771 (tptp.hAPP (tptp.hAPP @t3770 (tptp.hAPP @t3782 tptp.c_Int_Onat)) (tptp.hAPP @t3781 tptp.c_Int_Onat))))))) % 6.51/6.71 (assume @p2802 (forall @t3179 (=> @t2496 (= (tptp.c_Int_Oiszero @t8 @t315) @t3043)))) % 6.51/6.71 (assume @p2803 (forall @t365 (=> @t2496 (tptp.c_Int_Oiszero @t8 @t2105)))) % 6.51/6.71 (assume @p2804 (forall @t365 (=> @t2496 (not (tptp.c_Int_Oiszero @t8 @t1625))))) % 6.51/6.71 (assume @p2805 (forall @t2104 (= (tptp.hAPP @t3785 @t2094) @t456))) % 6.51/6.71 (assume @p2806 (forall @t2268 (= (tptp.hAPP @t3785 @t1737) (tptp.hAPP @t2267 (tptp.hAPP @t3785 @t1736))))) % 6.51/6.71 (assume @p2807 (forall @t365 (=> @t3512 (tptp.c_Int_Oiszero @t8 @t3714)))) % 6.51/6.71 (assume @p2808 (forall @t3574 (=> @t3524 (not (tptp.c_Int_Oiszero @t8 @t3662))))) % 6.51/6.71 (assume @p2809 (forall @t365 (=> @t3512 (not (tptp.c_Int_Oiszero @t8 @t3726))))) % 6.51/6.71 (assume @p2810 (forall @t224 (=> @t3512 (= @t3523 (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3510 (tptp.hAPP @t3784 @t3783))))))) % 6.51/6.71 (assume @p2811 (forall @t130 (=> @t3512 (= (= @t3522 @t2105) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3510 (tptp.hAPP @t3784 @t3713))))))) % 6.51/6.71 (assume @p2812 (forall @t3740 (=> @t3512 (= (= @t2105 @t3521) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3510 (tptp.hAPP @t3710 @t3783))))))) % 6.51/6.71 (assume @p2813 (forall @t3797 (and (=> @t3794 (= @t3793 (tptp.hAPP (tptp.hAPP @t2454 @t3796) @t2453))) (=> @t3795 (= @t3793 (tptp.hAPP (tptp.hAPP @t2494 (tptp.hAPP @t3789 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3786 @t3638))) @t2453)))))) % 6.51/6.71 (assume @p2814 (forall @t2766 (=> @t2845 (= @t3802 (tptp.hAPP (tptp.hAPP @t2494 (tptp.hAPP @t3789 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3798 @t255))) @t2453))))) % 6.51/6.71 (assume @p2815 (forall @t2378 (= (tptp.hAPP @t3789 (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) @t3803) (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 @t3669 tptp.tc_Nat_Onat) @t2466) @t2425)) @t116))) @t2375)) (tptp.hAPP (tptp.hAPP @t2466 @t2447) (tptp.hAPP @t3803 (tptp.hAPP @t3803 (tptp.hAPP (tptp.hAPP @t2466 (tptp.hAPP @t2425 @t2372)) @t116))))))) % 6.51/6.71 (assume @p2816 (forall @t3373 (not (= @t3658 @t3804)))) % 6.51/6.71 (assume @p2817 (forall @t3373 (not (= @t3805 @t3706)))) % 6.51/6.71 (assume @p2818 (forall @t3373 (= (tptp.hAPP @t3808 @t3804) @t3807))) % 6.51/6.71 (assume @p2819 (forall @t2561 (= (= @t3810 @t3809) @t3656))) % 6.51/6.71 (assume @p2820 (forall @t3373 (= (tptp.hAPP (tptp.hAPP @t2466 @t3805) @t1238) @t3811))) % 6.51/6.71 (assume @p2821 (forall @t3373 (= (tptp.hAPP @t3813 @t3804) (tptp.c_Int_OBit0 @t3812)))) % 6.51/6.71 (assume @p2822 (forall @t2546 (= @t3805 (tptp.hAPP @t2595 @t1161)))) % 6.51/6.71 (assume @p2823 (forall @t2546 (= (tptp.hAPP @t2427 @t3805) (tptp.c_Int_OBit0 @t3162)))) % 6.51/6.71 (assume @p2824 (forall @t2561 (= (tptp.hBOOL (tptp.hAPP @t3814 @t3809)) @t3637))) % 6.51/6.71 (assume @p2825 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP @t3817 @t3815)) @t3653))) % 6.51/6.71 (assume @p2826 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP @t3818 @t3815)) @t3648))) % 6.51/6.71 (assume @p2827 (forall @t2561 (= (tptp.hBOOL (tptp.hAPP @t3819 @t3809)) @t2560))) % 6.51/6.71 (assume @p2828 (forall @t1428 (= (= @t3810 tptp.c_Int_OPls) (= @t690 tptp.c_Int_OPls)))) % 6.51/6.71 (assume @p2829 (forall @t3820 (= (= tptp.c_Int_OPls @t3809) (= tptp.c_Int_OPls @t1653)))) % 6.51/6.71 (assume @p2830 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 6.51/6.71 (assume @p2831 (forall @t3642 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t3821) @t2450)) @t3657))) % 6.51/6.71 (assume @p2832 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3712 @t3810)) @t3717))) % 6.51/6.71 (assume @p2833 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3814 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t2855 tptp.c_Int_OPls))))) % 6.51/6.71 (assume @p2834 (forall @t2561 (= (tptp.hBOOL (tptp.hAPP @t3814 @t3643)) @t3637))) % 6.51/6.71 (assume @p2835 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP @t3817 @t3649)) @t3653))) % 6.51/6.71 (assume @p2836 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3819 tptp.c_Int_OPls)) @t3718))) % 6.51/6.71 (assume @p2837 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3711 @t3810)) (tptp.hBOOL (tptp.hAPP @t3711 @t690))))) % 6.51/6.71 (assume @p2838 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP @t3651 @t3815)) @t3648))) % 6.51/6.71 (assume @p2839 (forall @t2561 (= (tptp.hBOOL (tptp.hAPP @t3645 @t3809)) @t2560))) % 6.51/6.71 (assume @p2840 (forall @t3373 (= (tptp.hAPP @t3823 @t3804) @t3822))) % 6.51/6.71 (assume @p2841 (forall @t3373 (= (tptp.hAPP @t3813 @t3706) @t3822))) % 6.51/6.71 (assume @p2842 (forall @t3707 (= (tptp.hAPP @t3824 @t3804) (tptp.c_Int_OBit0 (tptp.hAPP @t3824 @t1238))))) % 6.51/6.71 (assume @p2843 (forall @t3373 (= (tptp.hAPP @t3825 @t3706) @t3807))) % 6.51/6.71 (assume @p2844 (forall @t3373 (= (tptp.hAPP @t3825 @t3804) (tptp.c_Int_OBit1 @t3806)))) % 6.51/6.71 (assume @p2845 (forall @t3634 (= (tptp.hAPP (tptp.hAPP @t2754 @t3827) @t3791) @t3826))) % 6.51/6.71 (assume @p2846 (forall @t3642 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t3514 @t3821))) @t3641))) % 6.51/6.71 (assume @p2847 (forall @t2546 (= (tptp.c_Int_Opred @t3805) (tptp.c_Int_OBit1 @t3724)))) % 6.51/6.71 (assume @p2848 (forall @t2546 (= (tptp.c_Int_Opred @t3658) @t3805))) % 6.51/6.71 (assume @p2849 (forall @t3576 (=> @t3524 (= (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3510 @t3821)) (tptp.c_Int_Oiszero @t8 @t3519))))) % 6.51/6.71 (assume @p2850 (forall @t2546 (= (tptp.c_Int_Osucc @t3658) (tptp.c_Int_OBit0 @t3739)))) % 6.51/6.71 (assume @p2851 (forall @t2546 (= (tptp.c_Int_Osucc @t3805) @t3658))) % 6.51/6.71 (assume @p2852 (forall @t3642 (= @t3828 (tptp.hAPP @t3660 @t3659)))) % 6.51/6.71 (assume @p2853 (forall @t3574 (=> @t3512 (= @t3829 (tptp.hAPP (tptp.hAPP @t928 (tptp.hAPP @t2124 @t3560)) @t3560))))) % 6.51/6.71 (assume @p2854 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP @t3654 @t3815)) @t3648))) % 6.51/6.71 (assume @p2855 (forall @t2561 (= (tptp.hBOOL (tptp.hAPP @t3655 @t3809)) @t2560))) % 6.51/6.71 (assume @p2856 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP @t3818 @t3649)) @t3653))) % 6.51/6.71 (assume @p2857 (forall @t2561 (= (tptp.hBOOL (tptp.hAPP @t3819 @t3643)) @t3637))) % 6.51/6.71 (assume @p2858 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t525)) @t3830)) % 6.51/6.71 (assume @p2859 (forall @t3373 (= (tptp.hAPP (tptp.hAPP @t2466 @t3658) @t1238) (tptp.hAPP (tptp.hAPP @t2454 @t3811) @t1238)))) % 6.51/6.71 (assume @p2860 (forall @t3373 (= (tptp.hAPP @t3808 @t3706) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t2494 @t3724) @t1238))))) % 6.51/6.71 (assume @p2861 (forall @t3373 (= (tptp.hAPP @t3823 @t3706) (tptp.c_Int_OBit0 (tptp.hAPP @t2595 (tptp.c_Int_Osucc @t1238)))))) % 6.51/6.71 (assume @p2862 (forall (@list @t1773 @t315 @t8) (=> @t3512 (= (tptp.hAPP @t3663 @t3828) (tptp.hAPP @t3665 @t3831))))) % 6.51/6.71 (assume @p2863 (forall @t2608 (= (tptp.hAPP @t3666 @t3828) (tptp.hAPP @t3672 (tptp.hAPP (tptp.hAPP @t3671 @t2466) @t3668))))) % 6.51/6.71 (assume @p2864 (forall @t3574 (=> @t3512 (= (tptp.hAPP @t1847 @t3560) @t3829)))) % 6.51/6.71 (assume @p2865 (forall @t1216 (=> (tptp.hBOOL (tptp.hAPP @t2452 @t3832)) (and (tptp.hBOOL (tptp.hAPP @t2452 (tptp.hAPP @t3514 (tptp.c_Int_OBit0 @t1153)))) (tptp.hBOOL (tptp.hAPP @t2452 (tptp.hAPP @t3514 (tptp.c_Int_OBit1 @t1153)))))))) % 6.51/6.71 (assume @p2866 (tptp.c_Nat__Transfer_Ois__nat @t3788)) % 6.51/6.71 (assume @p2867 (forall @t3534 (=> @t3512 (= (tptp.hAPP @t3618 @t3828) (tptp.hAPP @t3628 @t3831))))) % 6.51/6.71 (assume @p2868 (forall @t3183 (=> @t3512 (= (tptp.hAPP @t3031 @t3834) @t3833)))) % 6.51/6.71 (assume @p2869 (forall @t3183 (=> @t3512 (= (tptp.hAPP @t3835 @t272) @t3833)))) % 6.51/6.71 (assume @p2870 (forall @t365 (=> @t3512 (= @t1846 @t3834)))) % 6.51/6.71 (assume @p2871 (forall @t14 (=> @t1855 (= (= @t3836 @t2105) @t2122)))) % 6.51/6.71 (assume @p2872 (forall @t365 (=> @t2496 (= (tptp.hAPP @t2628 @t3830) @t2105)))) % 6.51/6.71 (assume @p2873 (= @t3830 @t2377)) % 6.51/6.71 (assume @p2874 (= @t2377 @t3830)) % 6.51/6.71 (assume @p2875 (forall @t134 (=> @t1575 (= @t1730 @t3837)))) % 6.51/6.71 (assume @p2876 (forall @t405 (=> @t1790 (= @t3838 @t1727)))) % 6.51/6.71 (assume @p2877 (tptp.hBOOL (tptp.hAPP @t2452 @t3788))) % 6.51/6.71 (assume @p2878 (forall @t1216 (= (tptp.hAPP (tptp.hAPP @t1000 @t3830) @t1153) @t3744))) % 6.51/6.71 (assume @p2879 (forall @t1216 (= (tptp.hAPP @t1157 @t3830) @t3744))) % 6.51/6.71 (assume @p2880 (forall @t365 (=> @t2496 (= (tptp.hAPP @t2624 @t3830) @t1625)))) % 6.51/6.71 (assume @p2881 (forall @t405 (=> @t2436 (= (tptp.hAPP @t2637 @t3830) @t3838)))) % 6.51/6.71 (assume @p2882 (forall @t2549 (= (tptp.hAPP @t3840 @t272) @t3839))) % 6.51/6.71 (assume @p2883 (forall @t2549 (= (tptp.hAPP (tptp.hAPP @t1721 @t272) @t3830) @t3839))) % 6.51/6.71 (assume @p2884 (forall @t2525 (=> @t1790 (= @t3843 @t3841)))) % 6.51/6.71 (assume @p2885 (= @t3788 (tptp.hAPP @t2425 @t3830))) % 6.51/6.71 (assume @p2886 (= @t3830 @t3844)) % 6.51/6.71 (assume @p2887 (forall @t405 (=> @t1658 (= (tptp.hAPP @t3451 @t3830) @t3838)))) % 6.51/6.71 (assume @p2888 (forall @t405 (=> @t1658 (= (tptp.hAPP @t3438 @t3838) @t3838)))) % 6.51/6.71 (assume @p2889 (= (tptp.hAPP @t1618 @t1615) @t3830)) % 6.51/6.71 (assume @p2890 (forall @t1825 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3754 @t3830) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1152 @t3830)))) % 6.51/6.71 (assume @p2891 (forall @t1825 (= (tptp.hAPP (tptp.hAPP @t2935 @t3754) @t3830) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t2937 @t3830))))) % 6.51/6.71 (assume @p2892 (forall @t3634 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3827 @t3791) @t3796))) % 6.51/6.71 (assume @p2893 (forall @t1825 (= (tptp.hAPP (tptp.hAPP @t2935 (tptp.hAPP @t1154 @t1152)) @t3830) @t1152))) % 6.51/6.71 (assume @p2894 (forall @t3846 (=> @t3845 (= (tptp.hBOOL (tptp.hAPP @t2212 (tptp.hAPP (tptp.hAPP @t2981 @t1449) @t3834))) (tptp.hBOOL (tptp.hAPP @t2212 @t1449)))))) % 6.51/6.71 (assume @p2895 (forall (@list @t2242 @t8) (=> @t3845 (=> (tptp.hBOOL (tptp.hAPP @t2212 @t2242)) (tptp.hBOOL (tptp.hAPP @t2212 (tptp.hAPP (tptp.hAPP @t2981 @t2242) @t3834))))))) % 6.51/6.71 (assume @p2896 (forall @t405 (=> @t1658 (tptp.hBOOL (tptp.hAPP @t2177 @t3838))))) % 6.51/6.71 (assume @p2897 (forall @t215 (=> @t1645 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3837) @t3847)) (=> @t2293 @t213))))) % 6.51/6.71 (assume @p2898 (forall @t215 (=> @t1645 (=> (= @t3837 @t3847) (=> @t2294 (=> @t2293 @t244)))))) % 6.51/6.71 (assume @p2899 (forall @t14 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP @t2212 @t3836)) @t3458)))) % 6.51/6.71 (assume @p2900 (forall @t405 (=> @t1658 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3838) @t2105)))))) % 6.51/6.71 (assume @p2901 (forall @t224 (=> @t1658 (= (= @t3848 @t2105) @t2182)))) % 6.51/6.71 (assume @p2902 (forall (@list @t2566 @t47) (=> (and (tptp.class_Groups_Omonoid__mult @t47) @t3539) (= (tptp.hAPP (tptp.hAPP @t2412 @t3849) @t3830) (tptp.hAPP (tptp.hAPP @t1704 @t3849) @t3849))))) % 6.51/6.71 (assume @p2903 (forall @t1216 (=> (tptp.hBOOL (tptp.hAPP @t1307 @t3830)) (or @t2142 (= @t1153 @t2095))))) % 6.51/6.71 (assume @p2904 (= @t3844 @t2377)) % 6.51/6.71 (assume @p2905 (forall @t14 (=> @t1855 (= (= @t3836 @t1625) (or (= @t13 @t1625) (= @t13 @t1853)))))) % 6.51/6.71 (assume @p2906 (forall @t3852 (=> @t1575 (= (tptp.hAPP @t2442 @t3842) @t3851)))) % 6.51/6.71 (assume @p2907 (forall @t2525 (=> @t2436 (= (tptp.hAPP @t2637 @t3842) @t3843)))) % 6.51/6.71 (assume @p2908 (forall @t215 (=> @t1645 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3837) @t3847)) (=> @t2293 @t637))))) % 6.51/6.71 (assume @p2909 (forall @t215 (=> @t1658 (tptp.hBOOL (tptp.hAPP @t2177 @t3853))))) % 6.51/6.71 (assume @p2910 (forall @t224 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t3848) @t2105)) @t2182)))) % 6.51/6.71 (assume @p2911 (forall @t224 (=> @t1658 (= (tptp.hBOOL (tptp.hAPP @t2212 @t3848)) @t2290)))) % 6.51/6.71 (assume @p2912 (forall @t215 (=> @t1658 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3853) @t2105)))))) % 6.51/6.71 (assume @p2913 (forall @t215 (=> @t3512 (= (tptp.hAPP (tptp.hAPP @t2433 (tptp.hAPP @t1382 @t210)) @t3830) (tptp.hAPP (tptp.hAPP @t928 @t3853) @t3854))))) % 6.51/6.71 (assume @p2914 (forall @t2525 (=> @t1658 (tptp.hBOOL (tptp.hAPP @t2177 @t3843))))) % 6.51/6.71 (assume @p2915 (forall @t3852 (=> @t1575 (= (tptp.hAPP @t2442 @t3855) (tptp.hAPP @t1729 @t3851))))) % 6.51/6.71 (assume @p2916 (forall @t2525 (=> @t1790 (= @t3856 (tptp.hAPP @t1726 @t3841))))) % 6.51/6.71 (assume @p2917 (forall @t2492 (=> @t2436 (= (tptp.hAPP @t2636 @t3842) @t1625)))) % 6.51/6.71 (assume @p2918 (forall @t3797 (and (=> @t3794 (= @t3857 @t3826)) (=> @t3795 (= @t3857 (tptp.hAPP (tptp.hAPP @t2754 @t3786) @t3638)))))) % 6.51/6.71 (assume @p2919 (forall @t2797 (= (tptp.hBOOL (tptp.hAPP @t2103 @t3858)) (= @t3858 @t1615)))) % 6.51/6.71 (assume @p2920 (forall @t1216 (=> @t2953 (tptp.hBOOL (tptp.hAPP @t2103 (tptp.hAPP @t2936 @t3830)))))) % 6.51/6.71 (assume @p2921 (forall @t215 (=> @t3512 (= (tptp.hAPP (tptp.hAPP @t2433 @t1370) @t3830) (tptp.hAPP (tptp.hAPP @t557 @t3853) @t3854))))) % 6.51/6.71 (assume @p2922 (forall @t2525 (=> @t1658 (=> (tptp.hBOOL (tptp.hAPP @t2177 @t3856)) @t2180)))) % 6.51/6.71 (assume @p2923 (forall @t2525 (=> @t1658 (=> @t2211 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t627 @t3856) @t2105)))))) % 6.51/6.71 (assume @p2924 (forall @t2492 (=> @t2436 (= (tptp.hAPP @t2636 @t3855) @t1853)))) % 6.51/6.71 (assume @p2925 (forall @t1216 (=> @t2141 (tptp.hBOOL (tptp.hAPP @t2103 (tptp.hAPP (tptp.hAPP @t2935 @t1903) @t3830)))))) % 6.51/6.71 (assume @p2926 (forall @t134 (=> @t2496 (=> @t2690 (= (tptp.hAPP @t2407 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3789 @t132))) (tptp.hAPP (tptp.hAPP @t928 @t3859) @t3859)))))) % 6.51/6.71 (assume @p2927 (forall @t2766 (=> @t2851 (= @t3802 (tptp.hAPP @t2455 (tptp.hAPP @t3789 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t38 @t255))))))) % 6.51/6.71 (assume @p2928 (forall @t2766 (=> @t2851 (= @t3860 (tptp.hAPP @t3374 @t255))))) % 6.51/6.71 (assume @p2929 (forall @t2766 (=> @t2845 (= @t3860 (tptp.hAPP (tptp.hAPP @t2754 @t3798) @t255))))) % 6.51/6.71 (assume @p2930 (forall @t2546 (and (=> @t3868 (= @t3865 @t2450)) (=> (not @t3868) (and (=> @t3867 (= @t3865 @t3864)) (=> (not @t3867) (= @t3865 (tptp.hAPP (tptp.hAPP @t2454 @t3864) @t2453)))))))) % 6.51/6.71 (assume @p2931 (forall @t2406 (=> @t2436 (and (=> @t2861 (= @t3875 @t2105)) (=> @t3876 (and (=> @t2912 (= @t3875 (tptp.hAPP @t1312 (tptp.hAPP @t3159 (tptp.hAPP @t2427 @t690))))) (=> (not @t2912) (= @t3875 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3874 @t3873) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3872 (tptp.tc_fun @t3874 @t3873) tptp.tc_Int_Oint) (tptp.c_COMBB @t769 @t8 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t3872 tptp.tc_Int_Oint) @t3627) @t3159))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t769 @t769) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1571 (tptp.tc_fun @t769 @t769) tptp.tc_Int_Oint) @t3625) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t769 @t1571) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1571 (tptp.tc_fun @t769 @t1571) tptp.tc_Int_Oint) @t3623) (tptp.hAPP @t3768 @t3871))) @t3869))) (tptp.hAPP (tptp.hAPP @t2691 (tptp.hAPP (tptp.hAPP @t3623 @t928) @t3869)) @t1625)))) (tptp.c_Divides_Odivmod__int @t690 @t3788)))))))))) % 6.51/6.71 (assume @p2932 (forall @t2492 (=> @t3512 (= (tptp.hAPP @t3878 @t3855) @t3877)))) % 6.51/6.71 (assume @p2933 (forall @t3707 (not (= tptp.c_Int_OMin @t3804)))) % 6.51/6.71 (assume @p2934 (forall @t2546 (not (= @t3805 tptp.c_Int_OMin)))) % 6.51/6.71 (assume @p2935 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 6.51/6.71 (assume @p2936 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 6.51/6.71 (assume @p2937 (not (tptp.hBOOL (tptp.hAPP @t3879 tptp.c_Int_OMin)))) % 6.51/6.71 (assume @p2938 (tptp.hBOOL (tptp.hAPP @t3880 tptp.c_Int_OMin))) % 6.51/6.71 (assume @p2939 (= (tptp.hAPP (tptp.hAPP @t3882 @t3866) @t3881) @t3866)) % 6.51/6.71 (assume @p2940 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 6.51/6.71 (assume @p2941 (forall @t3820 (= (= tptp.c_Int_OMin @t3643) (= tptp.c_Int_OMin @t1653)))) % 6.51/6.71 (assume @p2942 (forall @t1428 (= (= @t3644 tptp.c_Int_OMin) (= @t690 tptp.c_Int_OMin)))) % 6.51/6.71 (assume @p2943 (tptp.hBOOL (tptp.hAPP @t3879 @t2450))) % 6.51/6.71 (assume @p2944 (not (tptp.hBOOL (tptp.hAPP @t3712 tptp.c_Int_OMin)))) % 6.51/6.71 (assume @p2945 (tptp.hBOOL (tptp.hAPP @t3880 tptp.c_Int_OPls))) % 6.51/6.71 (assume @p2946 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3655 tptp.c_Int_OMin)) @t3883))) % 6.51/6.71 (assume @p2947 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3880 @t3644)) (tptp.hBOOL (tptp.hAPP @t3880 @t690))))) % 6.51/6.71 (assume @p2948 (tptp.hBOOL (tptp.hAPP @t3879 tptp.c_Int_OPls))) % 6.51/6.71 (assume @p2949 (not (tptp.hBOOL (tptp.hAPP @t3711 tptp.c_Int_OMin)))) % 6.51/6.71 (assume @p2950 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3879 @t3644)) @t3884))) % 6.51/6.71 (assume @p2951 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3645 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t2559 tptp.c_Int_OMin))))) % 6.51/6.71 (assume @p2952 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3814 tptp.c_Int_OMin)) @t3883))) % 6.51/6.71 (assume @p2953 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3879 @t3810)) @t3884))) % 6.51/6.71 (assume @p2954 (not (= @t3716 @t3885))) % 6.51/6.71 (assume @p2955 (= tptp.c_Int_OMin @t3430)) % 6.51/6.71 (assume @p2956 (forall @t2546 (= (tptp.hAPP (tptp.hAPP @t2466 tptp.c_Int_OMin) @t1161) @t3162))) % 6.51/6.71 (assume @p2957 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3885))) % 6.51/6.71 (assume @p2958 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 6.51/6.71 (assume @p2959 (forall @t2546 (= (tptp.hAPP (tptp.hAPP @t2454 tptp.c_Int_OMin) @t1161) @t3724))) % 6.51/6.71 (assume @p2960 (forall @t2546 (= (tptp.hAPP @t2595 tptp.c_Int_OMin) @t3724))) % 6.51/6.71 (assume @p2961 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 6.51/6.71 (assume @p2962 (forall @t365 (=> @t3512 (not (tptp.c_Int_Oiszero @t8 @t3877))))) % 6.51/6.71 (assume @p2963 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 6.51/6.71 (assume @p2964 (forall @t2546 (= (tptp.hAPP @t3709 tptp.c_Int_OMin) @t3739))) % 6.51/6.71 (assume @p2965 (forall @t3183 (=> @t3512 (= (tptp.hAPP @t3031 @t3877) @t3886)))) % 6.51/6.71 (assume @p2966 (forall @t3183 (=> @t3512 (= (tptp.hAPP (tptp.hAPP @t1725 @t3877) @t272) @t3886)))) % 6.51/6.71 (assume @p2967 (forall @t365 (=> @t3512 (= @t1853 @t3877)))) % 6.51/6.71 (assume @p2968 (forall @t365 (=> @t3512 (= @t3877 @t1853)))) % 6.51/6.71 (assume @p2969 (forall @t365 (=> @t3548 (= (tptp.hAPP @t3438 @t3877) @t1625)))) % 6.51/6.71 (assume @p2970 (forall @t134 (=> @t3727 (= (tptp.hAPP @t3029 @t3877) @t1321)))) % 6.51/6.71 (assume @p2971 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3880 @t3810)) @t3884))) % 6.51/6.71 (assume @p2972 (forall @t1428 (= (tptp.hBOOL (tptp.hAPP @t3819 tptp.c_Int_OMin)) @t3883))) % 6.51/6.71 (assume @p2973 (forall @t2795 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t255 @t3885) @t2450))) % 6.51/6.71 (assume @p2974 (forall @t3707 (= (tptp.hAPP @t3824 @t3706) @t3889))) % 6.51/6.71 (assume @p2975 (= (tptp.hAPP @t2427 tptp.c_Int_OMin) @t3708)) % 6.51/6.71 (assume @p2976 (forall @t1156 (=> (= @t3464 @t2453) (or (= @t1152 @t2453) (= @t1152 @t3885))))) % 6.51/6.71 (assume @p2977 (forall @t1209 (= @t2563 (or @t2562 (and (= @t337 @t3885) (= @t692 @t3885)))))) % 6.51/6.71 (assume @p2978 (forall @t3707 (= (tptp.hAPP @t3887 @t3706) (tptp.c_Int_OBit0 @t3888)))) % 6.51/6.71 (assume @p2979 (forall @t3707 (= (tptp.hAPP @t3887 @t3804) @t3889))) % 6.51/6.71 (assume @p2980 (forall @t365 (=> @t3512 (= (tptp.hAPP @t3159 @t3885) @t3877)))) % 6.51/6.71 (assume @p2981 (forall @t2795 (= (tptp.hAPP @t2764 @t3885) @t2760))) % 6.51/6.71 (assume @p2982 (= @t3866 (tptp.hAPP @t3861 tptp.c_Int_OPls))) % 6.51/6.71 (assume @p2983 (forall @t134 (=> @t3727 (= (tptp.hAPP (tptp.hAPP @t2981 @t3877) @t132) (tptp.hAPP @t1312 (tptp.hAPP @t3008 @t132)))))) % 6.51/6.71 (assume @p2984 (forall @t2492 (=> @t3548 (= (tptp.hAPP @t3438 (tptp.hAPP @t3878 @t1153)) @t1625)))) % 6.51/6.71 (assume @p2985 (forall @t2759 (=> @t2776 (= (tptp.hAPP (tptp.hAPP @t2754 @t3885) @t38) @t3885)))) % 6.51/6.71 (assume @p2986 (forall @t2766 (=> @t2650 (=> @t3392 (= @t2767 @t3885))))) % 6.51/6.71 (assume @p2987 (forall @t2759 (=> @t2776 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3885 @t38) @t3890)))) % 6.51/6.71 (assume @p2988 (= @t3881 (tptp.hAPP @t3861 @t3708))) % 6.51/6.71 (assume @p2989 (forall @t2492 (=> @t3512 (= (tptp.hAPP @t3878 @t3842) @t1625)))) % 6.51/6.71 (assume @p2990 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t3893 (tptp.hAPP (tptp.hAPP @t3892 (tptp.hAPP @t2682 (tptp.hAPP @t2681 @t2486))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2695) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3891 @t3891 tptp.tc_Int_Oint) @t3870) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3669 @t3891 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2695 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t2453))))) % 6.51/6.71 (assume @p2991 (forall @t3896 (= (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall tptp.tc_Int_Oint) @t2) @t116) (tptp.c_Smallcheck_Osmall_H @t2 @t3894 @t3895)))) % 6.51/6.71 (assume @p2992 (forall @t3902 (= @t3901 (tptp.hAPP @t3900 (tptp.hAPP @t3893 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t2695 @t2695) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t525 @t3898 tptp.tc_Int_Oint) @t3762) @t3897)) @t2429)))))) % 6.51/6.71 (assume @p2993 (forall @t3902 (= @t3903 (tptp.hAPP @t3900 (tptp.hAPP @t3893 (tptp.hAPP (tptp.hAPP @t3892 (tptp.hAPP @t2682 @t3897)) @t2429)))))) % 6.51/6.71 (assume @p2994 (forall @t1083 (= (tptp.c_Nitpick_Oprod @t8 @t47 @t51 @t77) (tptp.hAPP @t3908 (tptp.hAPP @t3907 @t3906))))) % 6.51/6.71 (assume @p2995 (forall @t1269 (and (=> @t3911 (= @t3910 @t1153)) (=> (not @t3911) (= @t3910 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t3909 @t3881) @t1716)))))) % 6.51/6.71 (assume @p2996 (forall @t2854 (= @t3915 (tptp.hAPP @t3893 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2695 @t2695) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3914 @t3898 tptp.tc_Int_Oint) @t2682) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2695 @t3914 tptp.tc_Int_Oint) @t2681) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3669 @t2695 tptp.tc_Int_Oint) (tptp.hAPP @t3913 @t1539)) (tptp.hAPP @t3912 (tptp.hAPP @t2466 @t109)))))) (tptp.hAPP (tptp.hAPP @t2682 (tptp.hAPP @t2681 (tptp.hAPP (tptp.hAPP @t3762 (tptp.hAPP tptp.c_fimplies @t2786)) (tptp.hAPP @t2683 (tptp.hAPP (tptp.hAPP @t3870 @t2429) @t109))))) (tptp.hAPP (tptp.hAPP @t3762 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t2786))) (tptp.hAPP (tptp.hAPP @t2682 (tptp.hAPP @t2681 @t2782)) (tptp.hAPP (tptp.hAPP @t3870 @t2448) @t2450))))))))) % 6.51/6.71 (assume @p2997 (forall @t365 (= @t3917 (tptp.hAPP (tptp.c_Set_OCollect @t3916) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t55 @t55 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t3327 (tptp.hAPP @t3326 (tptp.hAPP @t3323 @t613))) @t359)))))) % 6.51/6.71 (assume @p2998 (forall @t3896 (= (tptp.c_Smallcheck_Ofull__small__class_Ofull__small tptp.tc_Int_Oint @t2 @t116) (tptp.c_Smallcheck_Ofull__small_H @t2 @t3894 @t3895)))) % 6.51/6.71 (assume @p2999 (forall @t3367 (=> @t3400 (tptp.hBOOL (tptp.hAPP @t3919 @t3918))))) % 6.51/6.71 (assume @p3000 (forall @t3924 (=> @t3923 (=> @t3400 (=> @t2864 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t255 @t2863) (tptp.hAPP (tptp.hAPP @t3920 (tptp.hAPP (tptp.hAPP @t2754 @t2440) @t254)) @t3394)))))))) % 6.51/6.71 (assume @p3001 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t3866) @t2094)) % 6.51/6.71 (assume @p3002 (forall @t3576 (=> @t3512 (=> (tptp.hBOOL (tptp.hAPP @t3712 @t1773)) (tptp.hBOOL (tptp.hAPP @t3575 @t3925)))))) % 6.51/6.71 (assume @p3003 (forall @t3940 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3939 @t3937) @t3936) @t61) @t64)) (tptp.hBOOL (tptp.hAPP @t3931 (tptp.hAPP (tptp.hAPP @t3926 @t393) @t392)))))) % 6.51/6.71 (assume @p3004 (forall @t3940 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3942 @t3937) @t3936) @t61) @t64)) (tptp.hBOOL (tptp.hAPP @t3931 (tptp.hAPP (tptp.hAPP @t3941 @t393) @t392)))))) % 6.51/6.71 (assume @p3005 (forall @t3945 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3944 @t3937) @t3936)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3943 @t393) @t392))))) % 6.51/6.71 (assume @p3006 (forall @t3945 (= (= @t3937 @t3936) @t427))) % 6.51/6.71 (assume @p3007 (forall @t3948 (= @t3947 (tptp.hBOOL (tptp.hAPP @t3931 @t3946))))) % 6.51/6.71 (assume @p3008 (forall (@list @t116 @t2 @t8 @t47) (=> (and (tptp.class_Smallcheck_Osmall @t47) (tptp.class_Smallcheck_Osmall @t8)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall @t1469) @t2) @t116) (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 tptp.tc_Code__Numeral_Ocode__numeral @t2727) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3949 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2727) @t8) (tptp.c_Smallcheck_Osmall__class_Osmall @t47)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3934 @t3949 @t8) (tptp.hAPP (tptp.c_COMBB @t1469 @t2727 @t47) @t2)) @t3927))) @t116)) @t116))))) % 6.51/6.71 (assume @p3009 (forall @t3951 (=> @t3923 (=> @t3950 (=> @t3400 (= @t2242 @t2660)))))) % 6.51/6.71 (assume @p3010 (forall @t3951 (=> @t3923 (=> @t3950 (=> @t3400 (= @t2440 @t2654)))))) % 6.51/6.71 (assume @p3011 (forall @t3953 (=> @t3952 (=> @t2794 (= @t2242 @t2450))))) % 6.51/6.71 (assume @p3012 (forall @t2759 (=> @t3400 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2450 @t38) @t3955))))) % 6.51/6.71 (assume @p3013 (forall @t3966 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1420 @t1407) @t3965) @t61) @t64)) (tptp.hBOOL (tptp.hAPP @t3960 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t3957) @t1407) @t1449)))))) % 6.51/6.71 (assume @p3014 (forall @t3966 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t924 @t1407) @t3965) @t61) @t64)) (tptp.hBOOL (tptp.hAPP @t3960 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t3957) @t1407) @t1449)))))) % 6.51/6.71 (assume @p3015 (forall @t3953 (=> @t3952 (=> @t2794 (= @t2440 @t2453))))) % 6.51/6.71 (assume @p3016 (forall @t3967 (=> @t3923 (=> @t3400 (= @t3341 @t2242))))) % 6.51/6.71 (assume @p3017 (forall @t3967 (=> @t3923 (=> @t3400 (= @t2767 @t2440))))) % 6.51/6.71 (assume @p3018 (forall @t365 (=> @t2496 (tptp.hBOOL (tptp.hAPP @t2499 @t3925))))) % 6.51/6.71 (assume @p3019 (forall (@list @t2440 @t2470) (= (tptp.c_Divides_Odivmod__int @t2470 @t2440) (tptp.hAPP (tptp.hAPP @t3920 (tptp.hAPP (tptp.hAPP @t2754 @t2470) @t2440)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2470 @t2440))))) % 6.51/6.71 (assume @p3020 (forall @t114 (=> @t2496 (=> @t3969 (=> @t3968 (tptp.hBOOL (tptp.hAPP @t2500 @t3925))))))) % 6.51/6.71 (assume @p3021 (forall @t114 (=> @t2496 (=> @t3969 (=> @t3968 (tptp.hBOOL (tptp.hAPP @t2502 @t3925))))))) % 6.51/6.71 (assume @p3022 (forall @t365 (=> @t2496 (tptp.hBOOL (tptp.hAPP @t2503 @t3925))))) % 6.51/6.71 (assume @p3023 (forall @t2439 (=> @t2496 (tptp.hBOOL (tptp.hAPP @t2438 @t3925))))) % 6.51/6.71 (assume @p3024 (forall @t3367 (=> @t3400 (tptp.hBOOL (tptp.hAPP @t3919 (tptp.hAPP (tptp.hAPP @t3920 @t2767) @t3341)))))) % 6.51/6.71 (assume @p3025 (forall @t3977 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t255 @t254) (tptp.hAPP (tptp.hAPP @t3920 @t3974) @t3971))) (=> (tptp.hBOOL (tptp.hAPP @t3976 (tptp.hAPP (tptp.hAPP @t3920 @t3973) @t3970))) (=> @t3975 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3377 @t254) (tptp.hAPP (tptp.hAPP @t3920 (tptp.hAPP (tptp.hAPP @t2454 (tptp.hAPP (tptp.hAPP @t2454 @t3974) @t3973)) (tptp.hAPP (tptp.hAPP @t2754 @t3972) @t254))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3972 @t254))))))))) % 6.51/6.71 (assume @p3026 (forall (@list @t1449 @t2967 @t109 @t13) (=> (tptp.hBOOL (tptp.hAPP @t3915 @t3981)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3980 @t109) (tptp.hAPP (tptp.hAPP @t3920 (tptp.hAPP (tptp.hAPP @t3978 @t3979) (tptp.hAPP (tptp.hAPP @t2494 @t3979) @t2453))) (tptp.hAPP (tptp.hAPP @t3978 @t2450) (tptp.hAPP (tptp.hAPP @t2494 @t109) @t1449)))))))) % 6.51/6.71 (assume @p3027 (forall @t3967 (=> (= @t255 @t2666) (=> (and (=> @t2776 (and @t2653 @t2662)) (=> @t3982 (and @t2671 @t2672))) @t3923)))) % 6.51/6.71 (assume @p3028 (forall @t3984 (=> (tptp.hBOOL (tptp.hAPP @t3976 @t3922)) (=> @t3975 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3360 @t254) (tptp.hAPP (tptp.hAPP @t3920 (tptp.hAPP (tptp.hAPP @t2454 @t2648) (tptp.hAPP (tptp.hAPP @t2754 @t3983) @t254))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3983 @t254)))))))) % 6.51/6.71 (assume @p3029 (forall (@list @t2 @t106 @t51 @t109 @t13 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3991 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3988 @t3987) (tptp.hAPP (tptp.c_Set_Oimage @t1469 @t106 @t3986) @t51)))))) % 6.51/6.71 (assume @p3030 (forall @t2784 @t3998)) % 6.51/6.71 (assume @p3031 (forall (@list @t109) (= @t4010 (tptp.hAPP @t4009 (tptp.hAPP (tptp.hAPP @t4008 (tptp.hAPP @t4007 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3992 @t4006 tptp.tc_Int_Oint) (tptp.hAPP @t4005 (tptp.hAPP @t4004 (tptp.hAPP (tptp.hAPP @t3913 @t2452) @t3999)))) (tptp.hAPP (tptp.hAPP @t4001 (tptp.hAPP @t4000 (tptp.hAPP @t3993 (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t3912 @t3789)) @t2453)))) @t3999)))) (tptp.hAPP @t3993 @t3789)))))) % 6.51/6.71 (assume @p3032 (forall (@list @t47 @t8 @t51 @t64 @t61 @t77) (=> (=> @t4014 @t4012) @t4011))) % 6.51/6.71 (assume @p3033 (forall @t4015 (=> @t4011 (=> (not @t4012) @t4013)))) % 6.51/6.71 (assume @p3034 (forall @t4015 (=> @t4016 (not (=> @t4012 @t4014))))) % 6.51/6.71 (assume @p3035 (forall (@list @t47 @t8 @t77 @t64 @t61 @t51) (=> @t4012 (=> @t4013 @t4016)))) % 6.51/6.71 (assume @p3036 (forall (@list @t106 @t47 @t109 @t13 @t18 @t315 @t8) (=> (tptp.hBOOL (tptp.hAPP @t318 @t4019)) (tptp.hBOOL (tptp.hAPP @t318 (tptp.hAPP @t4018 @t4017)))))) % 6.51/6.71 (assume @p3037 (forall (@list @t47 @t8 @t109 @t13 @t456) (=> (tptp.hBOOL @t4020) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3907 @t456) @t3990))))) % 6.51/6.71 (assume @p3038 (forall (@list @t47 @t8 @t109 @t13 @t2) (=> @t4022 @t4021))) % 6.51/6.71 (assume @p3039 (forall @t3948 (not @t3947))) % 6.51/6.71 (assume @p3040 (forall (@list @t18 @t109 @t13 @t393 @t106 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4023 @t393) @t3990) @t18)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t393 @t13) @t109) @t18))))) % 6.51/6.71 (assume @p3041 (forall (@list @t135 @t47 @t8 @t64 @t61 @t136) (=> @t4026 (=> @t4025 @t4024)))) % 6.51/6.71 (assume @p3042 (forall (@list @t64 @t61 @t135 @t136 @t47 @t8) (=> @t4025 (=> @t4026 @t4024)))) % 6.51/6.71 (assume @p3043 (forall (@list @t77 @t8 @t51) (=> (= @t51 @t4030) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 @t51) @t77))))) % 6.51/6.71 (assume @p3044 (forall (@list @t51 @t47 @t8 @t64 @t61 @t77) (=> @t4013 @t4011))) % 6.51/6.71 (assume @p3045 (forall (@list @t77 @t47 @t8 @t64 @t61 @t51) (=> @t4012 @t4011))) % 6.51/6.71 (assume @p3046 (forall @t4015 (=> @t4016 @t4013))) % 6.51/6.71 (assume @p3047 (forall @t4015 (=> @t4016 @t4012))) % 6.51/6.71 (assume @p3048 (forall (@list @t2657 @t981 @t38 @t255 @t47 @t8) (=> (= @t4031 (tptp.hAPP (tptp.hAPP @t3927 @t981) @t2657)) (not (=> (= @t255 @t981) (not (= @t38 @t2657))))))) % 6.51/6.71 (assume @p3049 (forall (@list @t4032 @t151 @t109 @t13 @t47 @t8) (= (= @t3990 @t4033) (and @t152 (= @t109 @t4032))))) % 6.51/6.71 (assume @p3050 (forall (@list @t47 @t8 @t136) (= @t3097 (forall @t4035 (tptp.hBOOL (tptp.hAPP @t136 @t4034)))))) % 6.51/6.71 (assume @p3051 (forall (@list @t18 @t106 @t47 @t8 @t2967 @t2866) (=> (= @t2866 @t2967) (= (tptp.hAPP @t4036 @t2866) (tptp.hAPP @t4036 @t2967))))) % 6.51/6.71 (assume @p3052 (forall @t174 (= (tptp.hBOOL (tptp.hAPP @t4039 @t3917)) (and @t615 @t452)))) % 6.51/6.71 (assume @p3053 (forall (@list @t2866 @t1 @t4042 @t4043 @t2 @t8 @t106 @t47) (= (tptp.hAPP @t4041 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4043 @t4042 @t3956) @t1) @t2866)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4043 @t4042 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t4042 @t3956) (tptp.tc_fun @t4042 @t8) @t4043) (tptp.hAPP (tptp.c_COMBB @t3956 @t8 @t4042) @t4041)) @t1)) @t2866)))) % 6.51/6.71 (assume @p3054 (forall @t4044 (= (tptp.hAPP (tptp.hAPP @t4040 @t456) @t4017) @t4020))) % 6.51/6.71 (assume @p3055 (forall (@list @t109 @t13 @t2 @t8 @t106 @t47) (= (tptp.hAPP @t4041 @t4017) @t3987))) % 6.51/6.71 (assume @p3056 (forall @t1589 (=> @t4021 @t4022))) % 6.51/6.71 (assume @p3057 (forall (@list @t2 @t106 @t47 @t8) (= (tptp.hAPP @t3985 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3934 @t1609 @t8) (tptp.hAPP (tptp.c_COMBB @t1469 @t106 @t47) @t2)) @t3927)) @t2))) % 6.51/6.71 (assume @p3058 (forall @t3948 (= (tptp.c_HOL_OThe @t1469 @t4045) @t3929))) % 6.51/6.71 (assume @p3059 (forall @t4048 (= (tptp.c_HOL_OThe @t1469 @t136) (tptp.c_HOL_OThe @t1469 @t4047)))) % 6.51/6.71 (assume @p3060 (forall (@list @t1449 @t2967 @t109) (= (tptp.hAPP @t4010 @t3981) (tptp.hAPP (tptp.hAPP @t3994 (tptp.hAPP (tptp.hAPP @t2494 @t1449) @t109)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3899 @t3899) (tptp.hAPP (tptp.hAPP @t4005 (tptp.hAPP @t4004 @t2452)) (tptp.hAPP @t3920 (tptp.hAPP (tptp.hAPP @t2454 @t4049) @t2453)))) (tptp.hAPP (tptp.hAPP @t3920 @t4049) @t1449)))))) % 6.51/6.71 (assume @p3061 (forall (@list @t64 @t61 @t393 @t47 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t8 @t47 @t393) @t61) @t64)) (tptp.hBOOL (tptp.hAPP @t3931 @t393))))) % 6.51/6.71 (assume @p3062 (forall @t1160 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t1153 @t1152) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t4051) @t4050)))) % 6.51/6.71 (assume @p3063 (forall @t2602 (=> @t4058 (and (=> @t4056 (= @t4054 (tptp.hAPP @t4057 @t4055))) (=> (not @t4056) (= @t4054 (tptp.hAPP @t4053 (tptp.c_Divides_OnegDivAlg @t2453 @t4052)))))))) % 6.51/6.71 (assume @p3064 (forall @t2766 (=> @t2778 (=> @t2776 (tptp.hBOOL (tptp.hAPP @t3919 @t4059)))))) % 6.51/6.71 (assume @p3065 (forall @t3373 (=> @t3161 (=> (tptp.hBOOL (tptp.hAPP @t2486 @t1238)) (= (tptp.c_Divides_OnegDivAlg @t1161 @t1238) @t4060))))) % 6.51/6.71 (assume @p3066 (forall @t2759 (= (tptp.c_Divides_OnegDivAlg @t3885 @t38) (tptp.hAPP @t4057 @t3890)))) % 6.51/6.71 (assume @p3067 (forall @t2766 (and (=> @t4065 @t4066) (=> (not @t4065) @t4062)))) % 6.51/6.71 (assume @p3068 (forall @t3367 (=> @t2776 (and (=> @t4064 @t4066) (=> (not @t4064) @t4062))))) % 6.51/6.71 (assume @p3069 (forall @t3634 (=> @t4072 (and (=> @t4071 (= @t4069 (tptp.hAPP @t4057 @t4070))) (=> (not @t4071) (= @t4069 (tptp.hAPP @t4068 (tptp.c_Divides_OnegDivAlg @t3638 @t4067)))))))) % 6.51/6.71 (assume @p3070 (forall @t3846 (= (tptp.c_Nitpick_Orefl_H @t8 @t1449) (forall @t7 @t4078)))) % 6.51/6.71 (assume @p3071 (forall @t2602 (=> @t4058 (and (=> @t4080 (= @t4079 @t3997)) (=> (not @t4080) (= @t4079 (tptp.hAPP @t4053 (tptp.c_Divides_OposDivAlg @t2453 @t4052)))))))) % 6.51/6.71 (assume @p3072 (forall @t2766 (and (=> @t4083 @t4084) (=> (not @t4083) @t4082)))) % 6.51/6.71 (assume @p3073 (forall @t2759 (= (tptp.c_Divides_OposDivAlg @t2450 @t38) @t3955))) % 6.51/6.71 (assume @p3074 (forall @t2766 (=> @t2851 (=> @t2776 (tptp.hBOOL (tptp.hAPP @t3919 @t4081)))))) % 6.51/6.71 (assume @p3075 (forall @t3373 (=> (tptp.hBOOL (tptp.hAPP @t2452 @t1161)) (=> @t2923 (= (tptp.c_Divides_OposDivAlg @t1161 @t1238) @t4060))))) % 6.51/6.71 (assume @p3076 (forall @t3367 (=> @t2776 (and (=> @t2850 @t4084) (=> (not @t2850) @t4082))))) % 6.51/6.71 (assume @p3077 (forall @t3634 (=> @t4072 (and (=> @t4087 (= @t4085 (tptp.hAPP @t3954 @t3638))) (=> (not @t4087) (= @t4085 (tptp.hAPP @t4068 (tptp.c_Divides_OposDivAlg @t3638 @t4067)))))))) % 6.51/6.71 (assume @p3078 (forall @t2766 (and (=> @t2851 (and (=> @t4090 (= @t3918 @t4081)) (=> (not @t4090) (and (=> @t2793 (= @t3918 @t3955)) (=> @t2794 (= @t3918 @t4089)))))) (=> (not @t2851) (and (=> @t2776 (= @t3918 @t4059)) (=> @t3982 (= @t3918 @t4088))))))) % 6.51/6.71 (assume @p3079 (forall @t1160 (=> @t2141 (=> @t1212 (= @t4092 (tptp.hAPP (tptp.hAPP @t4091 @t2954) @t3413)))))) % 6.51/6.71 (assume @p3080 (forall @t2561 (and @t4101 (=> @t3876 (and @t4100 (=> @t4099 (= @t4097 (tptp.hAPP @t4096 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4002 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t2486 @t1653)) @t3297)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t2429 @t1653) @t2450)) @t2911))) @t4093) @t4094))))))))) % 6.51/6.71 (assume @p3081 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t2427))) % 6.51/6.71 (assume @p3082 (forall (@list @t64 @t61 @t2 @t8 @t47 @t106) (= (tptp.hAPP @t4104 @t4103) (tptp.hAPP @t3928 @t927)))) % 6.51/6.71 (assume @p3083 (forall @t1825 (= (tptp.c_Divides_Odivmod__nat @t1152 @t2094) @t4106))) % 6.51/6.71 (assume @p3084 (forall @t1156 (=> @t1201 (= @t4092 @t4106)))) % 6.51/6.71 (assume @p3085 (forall (@list @t2242 @t2440) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t3922) (tptp.hAPP @t3921 (tptp.hAPP @t2427 @t2242))))) % 6.51/6.71 (assume @p3086 (forall @t1156 (= @t4092 @t4107))) % 6.51/6.71 (assume @p3087 (forall (@list @t4108 @t38 @t255) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2760 @t2763) @t4108)) (tptp.hBOOL (tptp.hAPP @t3919 (tptp.hAPP tptp.c_Divides_OnegateSnd @t4108)))))) % 6.51/6.71 (assume @p3088 (forall @t1785 (and (=> @t4112 (= @t4111 (tptp.hAPP @t4105 @t337))) (=> (not @t4112) (= @t4111 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4109) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4110 tptp.tc_Nat_Onat) @t4091) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t2265 @t692))))))) % 6.51/6.71 (assume @p3089 (forall @t3373 (= @t4115 (tptp.hAPP (tptp.hAPP @t3920 (tptp.hAPP (tptp.hAPP @t2754 @t4114) @t4113)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t4114 @t4113))))) % 6.51/6.71 (assume @p3090 (forall @t2926 (and (=> @t4116 (= @t4115 (tptp.hAPP @t3954 @t4114))) (=> (not @t4116) (= @t4115 (tptp.c_Divides_OposDivAlg @t4114 @t4113)))))) % 6.51/6.71 (assume @p3091 (forall @t2561 (and @t4101 (=> @t3876 (and @t4100 (=> @t4099 (= @t4097 (tptp.hAPP @t4096 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4002 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t690)) @t4095)) @t4093) @t4094))))))))) % 6.51/6.71 (assume @p3092 (forall @t3924 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t255 @t38) @t4117)) (=> (tptp.hBOOL (tptp.hAPP @t2103 @t38)) (=> @t3427 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t255 @t2942) (tptp.hAPP (tptp.hAPP @t4091 (tptp.hAPP (tptp.hAPP @t2935 @t2440) @t254)) @t3426)))))))) % 6.51/6.71 (assume @p3093 (forall @t3984 (=> (tptp.hBOOL (tptp.hAPP @t4119 @t4117)) (=> @t3427 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t3423 @t254) (tptp.hAPP (tptp.hAPP @t4091 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t3422 @t2440)) (tptp.hAPP (tptp.hAPP @t2935 @t4118) @t254))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4118 @t254)))))))) % 6.51/6.71 (assume @p3094 (forall @t2854 (=> (tptp.hBOOL (tptp.hAPP @t4126 @t4125)) (and (=> @t4124 (= @t4121 (tptp.hAPP @t4057 @t4123))) (=> (not @t4124) (= @t4121 (tptp.hAPP @t4010 (tptp.c_Divides_OnegDivAlg @t13 @t4120)))))))) % 6.51/6.71 (assume @p3095 (forall @t4130 (= @t4129 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4128 @t13)) (tptp.hBOOL (tptp.hAPP @t4127 @t3))))))) % 6.51/6.71 (assume @p3096 (forall (@list @t13 @t109 @t1449 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4127 @t109)) (=> @t4131 @t4129)))) % 6.51/6.71 (assume @p3097 (forall (@list @t4132 @t4108 @t1153 @t1152) (=> @t4134 (=> (tptp.hBOOL (tptp.hAPP @t4133 @t4132)) (= @t4108 @t4132))))) % 6.51/6.71 (assume @p3098 (forall @t1156 (tptp.hBOOL (tptp.hAPP @t4133 @t4092)))) % 6.51/6.71 (assume @p3099 (forall (@list @t4108 @t1153 @t1152) (=> @t4134 (= @t4092 @t4108)))) % 6.51/6.71 (assume @p3100 (forall @t1209 (= @t4111 (tptp.c_HOL_OThe @t4109 @t4135)))) % 6.51/6.71 (assume @p3101 (forall @t4139 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4138 @t4136) @t4137)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.c_Wellfounded_Oaccp @t8 @t4137)) (tptp.c_Wellfounded_Oaccp @t8 @t4136)))))) % 6.51/6.71 (assume @p3102 (forall @t4141 (=> @t4140 (= @t3407 @t2242)))) % 6.51/6.71 (assume @p3103 (forall @t4141 (=> @t4140 (= @t2938 @t2440)))) % 6.51/6.71 (assume @p3104 (forall @t1156 (tptp.hBOOL (tptp.hAPP @t4133 @t4107)))) % 6.51/6.71 (assume @p3105 (forall @t3977 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t255 @t254) (tptp.hAPP (tptp.hAPP @t4091 @t3974) @t3971))) (=> (tptp.hBOOL (tptp.hAPP @t4119 (tptp.hAPP (tptp.hAPP @t4091 @t3973) @t3970))) (=> @t3427 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t3421 @t254) (tptp.hAPP (tptp.hAPP @t4091 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1000 @t3974) @t3973)) (tptp.hAPP (tptp.hAPP @t2935 @t4142) @t254))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4142 @t254))))))))) % 6.51/6.71 (assume @p3106 (forall @t2854 (=> (tptp.hBOOL (tptp.hAPP @t4145 @t4125)) (and (=> @t4144 (= @t4143 (tptp.hAPP @t3954 @t13))) (=> (not @t4144) (= @t4143 (tptp.hAPP @t4010 (tptp.c_Divides_OposDivAlg @t13 @t4120)))))))) % 6.51/6.71 (assume @p3107 (forall @t2854 (=> (tptp.hBOOL (tptp.hAPP @t4146 @t4125)) @t3998))) % 6.51/6.71 (assume @p3108 (forall @t4156 (=> (tptp.hBOOL (tptp.hAPP @t4126 @t4155)) (=> (forall @t4035 (=> (tptp.hBOOL (tptp.hAPP @t4126 @t4154)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t2452 (tptp.hAPP (tptp.hAPP @t2454 @t476) @t2356))) @t4153)) @t4152) @t4151))) @t4149)))) % 6.51/6.71 (assume @p3109 (forall (@list @t1034 @t116 @t2) (=> (tptp.hBOOL (tptp.hAPP @t4160 (tptp.hAPP (tptp.hAPP @t4159 @t2) @t4157))) @t2732))) % 6.51/6.71 (assume @p3110 (forall @t4156 (=> (tptp.hBOOL (tptp.hAPP @t4145 @t4155)) (=> (forall @t4035 (=> (tptp.hBOOL (tptp.hAPP @t4145 @t4154)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t476) @t2356)) @t4153)) @t4152) @t4151))) @t4149)))) % 6.51/6.71 (assume @p3111 (forall @t2702 (=> (tptp.hBOOL (tptp.hAPP @t4164 @t4163)) (and (=> @t4162 (= @t4161 @t61)) (=> (not @t4162) (= @t4161 (tptp.c_Nitpick_Onat__gcd @t64 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t61 @t64)))))))) % 6.51/6.71 (assume @p3112 (forall (@list @t136 @t354 @t352 @t4147) (=> (tptp.hBOOL (tptp.hAPP @t4160 (tptp.hAPP (tptp.hAPP @t4159 @t4147) (tptp.hAPP (tptp.hAPP @t3920 @t352) @t354)))) (=> (forall (@list @t1715 @t2299 @t2734) (=> (tptp.hBOOL (tptp.hAPP @t4160 (tptp.hAPP (tptp.hAPP @t4159 @t1715) @t4169))) (=> (=> @t4168 (=> (= @t4167 @t2731) (tptp.hBOOL (tptp.hAPP @t4165 @t4166)))) (tptp.hBOOL (tptp.hAPP @t4165 @t2734))))) (tptp.hBOOL (tptp.hAPP @t4148 @t354)))))) % 6.51/6.71 (assume @p3113 (forall @t2602 (=> @t4173 (= @t4172 (tptp.hAPP @t4171 @t4170))))) % 6.51/6.71 (assume @p3114 (forall (@list @t2 @t64 @t61 @t8) (= (tptp.hBOOL (tptp.hAPP @t4178 @t4176)) @t4174))) % 6.51/6.71 (assume @p3115 (forall (@list @t255 @t210 @t132 @t8 @t47) (=> (= (tptp.hAPP @t4180 (tptp.hAPP (tptp.hAPP @t4179 @t132) @t210)) @t255) (= @t210 @t255)))) % 6.51/6.71 (assume @p3116 (forall (@list @t38 @t255 @t8 @t47) (= (tptp.hAPP @t4180 (tptp.hAPP (tptp.hAPP @t4179 @t255) @t38)) @t38))) % 6.51/6.71 (assume @p3117 (forall (@list @t1 @t61 @t2 @t8 @t47 @t106) (= (= @t4182 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t106 @t47 @t8 @t1) @t61)) (= (tptp.hAPP @t2 @t4181) (tptp.hAPP @t1 @t4181))))) % 6.51/6.71 (assume @p3118 (forall @t4185 (= (tptp.hAPP @t4180 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t106 @t8 @t47 @t2) @t61)) (tptp.hAPP @t2 @t4184)))) % 6.51/6.71 (assume @p3119 (forall (@list @t2866 @t8 @t47) (= (tptp.hAPP @t4180 @t2866) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t47 @t8 @t8) (tptp.hAPP (tptp.c_COMBK @t769 @t47) @t145)) @t2866)))) % 6.51/6.71 (assume @p3120 (forall @t2766 (= @t3341 (tptp.hAPP @t4171 @t3918)))) % 6.51/6.71 (assume @p3121 (forall @t2766 (=> @t2778 (=> @t2776 (= @t3341 (tptp.hAPP @t4171 @t4059)))))) % 6.51/6.71 (assume @p3122 (forall @t2766 (=> @t2650 (=> @t4090 (= @t3341 (tptp.hAPP @t4171 @t4081)))))) % 6.51/6.71 (assume @p3123 (forall @t2602 (=> @t3794 (= @t4172 (tptp.hAPP @t4171 @t4079))))) % 6.51/6.71 (assume @p3124 (forall @t2766 (=> @t2650 (=> @t2838 (= @t3341 (tptp.hAPP @t4171 @t4089)))))) % 6.51/6.71 (assume @p3125 (forall @t2766 (=> @t2778 (=> @t4063 (= @t3341 (tptp.hAPP @t4171 @t4088)))))) % 6.51/6.71 (assume @p3126 (forall @t4156 (=> (tptp.hBOOL (tptp.hAPP @t4146 @t4155)) (=> (forall @t4035 (=> (tptp.hBOOL (tptp.hAPP @t4146 @t4154)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t2356) @t2450)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t2427 @t476)) (tptp.hAPP @t2427 @t2356)))) @t4151))) @t4149)))) % 6.51/6.71 (assume @p3127 (forall @t2602 (=> @t4173 (= @t4187 (tptp.hAPP @t4186 @t4170))))) % 6.51/6.71 (assume @p3128 (forall @t2552 (= @t3104 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4109 @t1623) @t4191) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1623) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t1623 @t4190) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4189 (tptp.tc_fun @t1623 @t4190) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t1623 @t1623)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3199 @t4189 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4188 tptp.tc_Nat_Onat) @t2389)) @t864))) @t2388))))))) % 6.51/6.71 (assume @p3129 (forall (@list @t2440 @t2470 @t47 @t8) (=> (= @t4195 (tptp.hAPP @t4194 @t2440)) (=> (= @t4193 (tptp.hAPP @t4192 @t2440)) (= @t2470 @t2440))))) % 6.51/6.71 (assume @p3130 (forall (@list @t47 @t8 @t32 @t1660) (= (= @t1660 @t32) (and (= (tptp.hAPP @t4194 @t1660) (tptp.hAPP @t4194 @t32)) (= (tptp.hAPP @t4192 @t1660) (tptp.hAPP @t4192 @t32)))))) % 6.51/6.71 (assume @p3131 (forall @t2702 (= (= @t4196 (tptp.hAPP tptp.c_Int_ORep__Integ @t64)) @t222))) % 6.51/6.71 (assume @p3132 (forall (@list @t2866 @t47 @t8) (= @t4197 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t47 @t8) @t2162) @t2866)))) % 6.51/6.71 (assume @p3133 (forall @t4198 (= (tptp.hAPP @t4194 @t4182) (tptp.hAPP (tptp.c_Product__Type_Ofst @t8 @t106) @t61)))) % 6.51/6.71 (assume @p3134 (forall (@list @t38 @t255 @t47 @t8) (= (tptp.hAPP @t4194 @t4031) @t255))) % 6.51/6.71 (assume @p3135 (forall (@list @t255 @t210 @t132 @t47 @t8) (=> (= (tptp.hAPP @t4194 @t4199) @t255) (= @t132 @t255)))) % 6.51/6.71 (assume @p3136 (forall (@list @t47 @t8 @t1305) (= @t1305 (tptp.hAPP (tptp.hAPP @t3927 (tptp.hAPP @t4194 @t1305)) (tptp.hAPP @t4192 @t1305))))) % 6.51/6.71 (assume @p3137 (forall (@list @t2470 @t47 @t8) (= (tptp.hAPP (tptp.hAPP @t3927 @t4195) @t4193) @t2470))) % 6.51/6.71 (assume @p3138 (forall (@list @t2866 @t2 @t8 @t106 @t47) (= (tptp.hAPP @t4041 @t2866) (tptp.hAPP (tptp.hAPP @t2 @t4202) @t4200)))) % 6.51/6.71 (assume @p3139 (forall @t2766 (= @t2767 (tptp.hAPP @t4186 @t3918)))) % 6.51/6.71 (assume @p3140 (forall @t1156 (= @t3407 (tptp.hAPP @t4203 @t4092)))) % 6.51/6.71 (assume @p3141 (forall (@list @t315 @t136 @t8 @t106 @t47) (= (tptp.hAPP (tptp.hAPP @t4040 @t136) @t315) (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t4201 @t315)) (tptp.hAPP @t4183 @t315))))) % 6.51/6.71 (assume @p3142 (forall (@list @t1 @t2 @t4043 @t106 @t47 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t1469 @t47 @t106) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4043 @t1609 @t1469) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t4043 @t1469) @t1) @t4194))) @t4192) (tptp.hAPP @t3985 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4043 @t1609 @t8) @t2) @t1))))) % 6.51/6.71 (assume @p3143 (forall (@list @t2866 @t18 @t8 @t106 @t47) (= (tptp.hAPP (tptp.hAPP @t4040 @t18) @t2866) (tptp.hAPP (tptp.hAPP @t18 @t4202) @t4200)))) % 6.51/6.71 (assume @p3144 (forall @t4048 (= (tptp.c_HOL_OThe @t1469 @t4205) (tptp.c_HOL_OThe @t1469 @t4204)))) % 6.51/6.71 (assume @p3145 (forall @t2766 (=> @t2778 (=> @t2776 (= @t2767 (tptp.hAPP @t4186 @t4059)))))) % 6.51/6.71 (assume @p3146 (forall @t2766 (=> @t2650 (=> @t4090 (= @t2767 (tptp.hAPP @t4186 @t4081)))))) % 6.51/6.71 (assume @p3147 (forall @t2602 (=> @t3794 (= @t4187 (tptp.hAPP @t4186 @t4079))))) % 6.51/6.71 (assume @p3148 (forall @t2766 (=> @t2650 (=> @t2838 (= @t2767 (tptp.hAPP @t4186 @t4089)))))) % 6.51/6.71 (assume @p3149 (forall @t2766 (=> @t2778 (=> @t4063 (= @t2767 (tptp.hAPP @t4186 @t4088)))))) % 6.51/6.71 (assume @p3150 (forall (@list @t2866 @t1 @t2 @t47 @t8) (= (tptp.c_Product__Type_Oprod_Oprod__size @t8 @t47 @t2 @t1 @t2866) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t2 @t4197)) (tptp.hAPP @t1 @t4206))) @t2095)))) % 6.51/6.71 (assume @p3151 (forall (@list @t8 @t47 @t61 @t64 @t136) (=> (tptp.hBOOL (tptp.hAPP @t4210 @t61)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t4180 @t4208)) (tptp.hAPP @t4209 @t4208)))))) % 6.51/6.71 (assume @p3152 (forall (@list @t47 @t8 @t2967 @t135 @t2866 @t136) (=> (tptp.hBOOL (tptp.hAPP @t136 @t2866)) (=> (tptp.hBOOL (tptp.hAPP @t135 @t2967)) (and (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t4194 @t4211))) (tptp.hBOOL (tptp.hAPP @t135 (tptp.hAPP @t4192 @t4211)))))))) % 6.51/6.71 (assume @p3153 (forall @t1156 (= @t2938 (tptp.hAPP @t4212 @t4092)))) % 6.51/6.71 (assume @p3154 (forall (@list @t4213 @t692 @t337) (= (tptp.hBOOL (tptp.hAPP @t4135 @t4213)) (and (= @t337 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP (tptp.hAPP @t1721 @t4215) @t692)) @t4214)) (=> @t2145 (= @t4215 @t2094)) (=> @t2146 (and (=> @t2144 (and (tptp.hBOOL (tptp.hAPP @t2102 @t4214)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t4214) @t692)))) (=> (not @t2144) (and (tptp.hBOOL (tptp.hAPP @t1303 @t4214)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t4214) @t2094)))))))))) % 6.51/6.71 (assume @p3155 (forall @t4156 (=> (tptp.hBOOL (tptp.hAPP @t4164 (tptp.hAPP (tptp.hAPP @t4091 @t4147) @t352))) (=> (forall @t503 (=> (tptp.hBOOL (tptp.hAPP @t4164 @t4216)) (=> (=> (not (= @t42 @t2094)) (tptp.hBOOL (tptp.hAPP @t1691 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3 @t42)))) (tptp.hBOOL (tptp.hAPP @t230 @t42))))) @t4149)))) % 6.51/6.71 (assume @p3156 (forall @t4221 (=> @t4220 (=> @t4219 @t4218)))) % 6.51/6.71 (assume @p3157 (forall @t4224 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t4223) (tptp.hAPP (tptp.hAPP @t1000 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t4222)) @t2095)))) % 6.51/6.71 (assume @p3158 (forall (@list @t4225 @t4226) (= (= @t4227 (tptp.c_Code__Numeral_OSuc__code__numeral @t4225)) (= @t4226 @t4225)))) % 6.51/6.71 (assume @p3159 (forall (@list @t4228) (not (= @t3866 (tptp.c_Code__Numeral_OSuc__code__numeral @t4228))))) % 6.51/6.71 (assume @p3160 (forall (@list @t4229) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t4229) @t3866)))) % 6.51/6.71 (assume @p3161 (forall @t1216 (= (tptp.hAPP (tptp.hAPP @t3882 (tptp.c_Code__Numeral_OSuc__code__numeral @t1153)) @t3881) @t1153))) % 6.51/6.71 (assume @p3162 (forall @t4221 (=> @t4174 @t4218))) % 6.51/6.71 (assume @p3163 (forall @t4224 (= (tptp.hAPP @t4230 @t4223) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t4230 @t4222)) @t2095)))) % 6.51/6.71 (assume @p3164 (forall @t4044 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t47 @t106 @t8 @t456 @t4017) @t4020))) % 6.51/6.71 (assume @p3165 (forall (@list @t4231 @t337 @t47 @t8) (= (tptp.c_Map_Omap__add @t8 @t47 @t337 @t4238) (tptp.c_List_Ofoldr @t1469 @t4232 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t47 @t4234) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4237 @t4236) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4235 (tptp.tc_fun @t4237 @t4236) @t8) (tptp.c_COMBB @t693 @t4234 @t47)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t4232 @t4233) @t4235 @t8) (tptp.c_COMBC @t4232 @t693 @t4232)) (tptp.hAPP (tptp.c_COMBC @t4232 @t8 @t4233) @t694)))) @t618)) @t4231 @t337)))) % 6.51/6.71 (assume @p3166 (= (tptp.hAPP @t4230 @t3866) @t2094)) % 6.51/6.71 (assume @p3167 (forall (@list @t1660 @t1449 @t4032 @t151 @t109 @t13 @t47 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4244 (tptp.hAPP (tptp.hAPP @t4243 @t3990) @t4033)) (tptp.c_Wellfounded_Olex__prod @t8 @t47 @t1449 @t1660))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t4242 @t151)) @t1449)) (and @t152 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4241 (tptp.hAPP (tptp.hAPP @t4239 @t109) @t4032)) @t1660))))))) % 6.51/6.71 (assume @p3168 (forall @t4250 (= (tptp.hAPP @t4249 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t4043 @t47 @t106 @t1) @t61)) (tptp.hAPP (tptp.hAPP @t3927 @t4248) @t4246)))) % 6.51/6.71 (assume @p3169 (forall @t4253 (= (tptp.hAPP @t4104 (tptp.hAPP @t4252 @t61)) (tptp.hAPP (tptp.hAPP @t3927 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t4043 @t106) @t61))) (tptp.hAPP @t2 (tptp.hAPP @t4251 @t61)))))) % 6.51/6.71 (assume @p3170 (forall @t4185 (= (tptp.hAPP @t4180 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t106 @t47 @t8 @t2) @t61)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t106 @t8) @t61)))) % 6.51/6.71 (assume @p3171 (forall (@list @t64 @t61 @t2 @t47 @t8 @t106) (= (tptp.hAPP @t4249 (tptp.hAPP (tptp.hAPP @t4254 @t61) @t64)) (tptp.hAPP (tptp.hAPP @t3927 @t67) @t64)))) % 6.51/6.71 (assume @p3172 (forall (@list @t1 @t61 @t2 @t47 @t8 @t106) (= (= @t4257 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t106 @t8 @t47 @t1) @t61)) (= @t4256 (tptp.hAPP @t1 @t4255))))) % 6.51/6.71 (assume @p3173 (forall @t4198 (= (tptp.hAPP @t4194 @t4257) @t4256))) % 6.51/6.71 (assume @p3174 (forall (@list @t2866 @t1 @t4043 @t2 @t8 @t47 @t106) (= (tptp.hAPP @t4104 (tptp.hAPP @t4252 @t2866)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t4043 @t8 @t47 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t106 @t47 @t4043 @t2) @t2866))))) % 6.51/6.71 (assume @p3175 (forall (@list @t8 @t393 @t64 @t4259 @t47 @t61 @t136) (=> @t426 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4241 (tptp.hAPP (tptp.hAPP @t4239 @t4259) @t64)) @t4260)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4244 (tptp.hAPP (tptp.hAPP @t4243 (tptp.hAPP @t3928 @t4259)) @t3929)) @t4258)))))) % 6.51/6.71 (assume @p3176 (forall @t4267 (=> @t4266 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1660) @t32)) @t4265)))) % 6.51/6.71 (assume @p3177 (forall (@list @t283 @t225 @t393 @t77 @t51 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4039 @t4268)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4038 (tptp.hAPP (tptp.hAPP @t4037 @t225) @t283)) @t4268)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4038 (tptp.hAPP (tptp.hAPP @t4037 @t226) (tptp.hAPP @t208 @t283))) @t4268)))))) % 6.51/6.71 (assume @p3178 (forall @t4267 (=> @t2305 @t4265))) % 6.51/6.71 (assume @p3179 (forall (@list @t990 @t61 @t393 @t8) (= (tptp.c_Wellfounded_Omax__extp @t8 (tptp.hAPP @t4274 @t393) @t61 @t990) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4038 (tptp.hAPP (tptp.hAPP @t4037 @t61) @t990)) @t4268))))) % 6.51/6.71 (assume @p3180 (forall @t4267 (=> @t4266 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1660) @t32)) @t4275)))) % 6.51/6.71 (assume @p3181 (forall @t4291 (=> @t4290 (=> @t4288 (=> (tptp.hBOOL (tptp.hAPP @t4286 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t4285 tptp.c_FunDef_Omin__strict))))))) % 6.51/6.71 (assume @p3182 (forall @t4295 (=> (not (= @t157 @t4292)) (tptp.hBOOL (tptp.hAPP @t4294 tptp.c_FunDef_Omin__strict))))) % 6.51/6.71 (assume @p3183 (forall @t4267 (=> @t2305 @t4275))) % 6.51/6.71 (assume @p3184 (forall (@list @t4279 @t61 @t4276 @t64) (=> (tptp.hBOOL (tptp.hAPP @t4298 @t4276)) (=> @t4297 (=> (tptp.hBOOL (tptp.hAPP @t4286 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4284 (tptp.hAPP (tptp.hAPP @t4281 (tptp.hAPP @t4296 @t4279)) @t4276)) tptp.c_FunDef_Omax__weak))))))) % 6.51/6.71 (assume @p3185 (forall @t4291 (=> @t4290 (=> @t4297 (=> (tptp.hBOOL (tptp.hAPP @t4286 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t4285 tptp.c_FunDef_Omin__weak))))))) % 6.51/6.71 (assume @p3186 (forall (@list @t157 @t61 @t144 @t64) (=> (tptp.hBOOL (tptp.hAPP @t4298 @t144)) (=> @t4288 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4284 (tptp.hAPP @t4293 @t144)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4284 (tptp.hAPP (tptp.hAPP @t4281 (tptp.hAPP @t4296 @t157)) @t144)) tptp.c_FunDef_Omax__strict))))))) % 6.51/6.71 (assume @p3187 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t4109 tptp.c_FunDef_Opair__less))) % 6.51/6.71 (assume @p3188 (forall @t4295 (tptp.hBOOL (tptp.hAPP @t4294 tptp.c_FunDef_Omin__weak)))) % 6.51/6.71 (assume @p3189 (forall @t4295 (=> (tptp.hBOOL (tptp.hAPP @t4300 @t157)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4284 (tptp.hAPP @t4299 @t157)) tptp.c_FunDef_Omax__weak))))) % 6.51/6.71 (assume @p3190 (forall (@list @t144) (=> (tptp.hBOOL (tptp.hAPP @t4300 @t144)) (=> (not (= @t144 @t4292)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4284 (tptp.hAPP @t4299 @t144)) tptp.c_FunDef_Omax__strict)))))) % 6.51/6.71 (assume @p3191 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t4303 (tptp.c_Wellfounded_Omax__ext @t4109 tptp.c_FunDef_Opair__leq)) @t4302))) % 6.51/6.71 (assume @p3192 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t4303 (tptp.c_Wellfounded_Omin__ext @t4109 tptp.c_FunDef_Opair__leq)) @t4302))) % 6.51/6.71 (assume @p3193 (tptp.c_FunDef_Oreduction__pair @t4280 (tptp.hAPP (tptp.hAPP @t4304 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 6.51/6.71 (assume @p3194 (tptp.c_FunDef_Oreduction__pair @t4280 (tptp.hAPP (tptp.hAPP @t4304 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 6.51/6.71 (assume @p3195 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t4109 tptp.c_FunDef_Opair__less))) % 6.51/6.71 (assume @p3196 (forall @t2702 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4289 @t4163) tptp.c_Wellfounded_Oless__than)) @t2635))) % 6.51/6.71 (assume @p3197 (forall @t4309 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4263 (tptp.hAPP (tptp.hAPP @t4261 @t4163) @t4308)) tptp.c_Int_Ointrel)) (= @t4307 @t4305)))) % 6.51/6.71 (assume @p3198 (forall @t1689 (=> @t4311 (tptp.c_FunDef_Oreduction__pair @t47 (tptp.hAPP (tptp.hAPP @t4310 @t136) @t2))))) % 6.51/6.71 (assume @p3199 (= tptp.c_FunDef_Opair__less (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than tptp.c_Wellfounded_Oless__than))) % 6.51/6.71 (assume @p3200 (forall (@list @t393 @t2 @t8) (= @t4217 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4312 @t8) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t8 tptp.c_Wellfounded_Oless__than @t393)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t8 @t4312) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t8 @t4312) @t8) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t8)) @t2)) @t145))))) % 6.51/6.71 (assume @p3201 (forall @t997 (= @t4310 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4028 @t4028 @t4319) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4028 @t4322 @t4321) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4320 (tptp.tc_fun @t4322 @t4321) @t4028) (tptp.c_COMBB @t4318 @t4319 @t4028)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4317 @t4320 @t4028) (tptp.c_COMBS @t74 @t4314 @t4315)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4318 @t4317 @t4028) (tptp.hAPP (tptp.c_COMBB @t4314 @t4316 @t74) (tptp.c_Product__Type_OPair @t4314 @t4314))) @t4313)))) @t4313))))) % 6.51/6.71 (assume @p3202 (forall @t2702 (= (= (tptp.hAPP @t4323 (tptp.hAPP @t4296 @t4292)) (tptp.hAPP @t4323 (tptp.hAPP @t4278 @t4292))) (tptp.hBOOL (tptp.hAPP @t4287 tptp.c_Int_Ointrel))))) % 6.51/6.71 (assume @p3203 (forall @t365 (= @t4175 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t8) tptp.c_Wellfounded_Oless__than)))) % 6.51/6.71 (assume @p3204 (forall (@list @t13 @t1449 @t8 @t47) (= @t4330 (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4327 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4325 @t4328 @t8) @t4326) @t4324)) @t1449))))) % 6.51/6.71 (assume @p3205 (forall (@list @t13 @t1449 @t47 @t109 @t8) (= (tptp.hBOOL (tptp.hAPP @t188 @t4330)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4326 @t4331) @t1449))))) % 6.51/6.71 (assume @p3206 (forall (@list @t2 @t1449 @t8 @t47) (= @t4339 (tptp.hAPP @t4337 (tptp.hAPP @t4336 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4314 @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4335 (tptp.tc_fun @t4314 @t55) @t8) (tptp.c_COMBC @t8 @t4314 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4333 @t4335 @t8) (tptp.hAPP (tptp.c_COMBB @t4240 @t4334 @t8) @t4241)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t203 @t4333) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4332 (tptp.tc_fun @t203 @t4333) @t8) (tptp.c_COMBB @t47 @t4240 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t47 @t4332 @t8) @t4239) @t2))) @t2)))) @t1449)))))) % 6.51/6.71 (assume @p3207 (forall @t4341 (= (tptp.hAPP @t4340 @t49) @t56))) % 6.51/6.71 (assume @p3208 (forall (@list @t77 @t51 @t393 @t8 @t47) (= (tptp.hAPP @t4340 @t306) (tptp.hAPP @t4344 @t4342)))) % 6.51/6.71 (assume @p3209 (forall (@list @t77 @t51 @t106 @t1449 @t8 @t47) (= (tptp.hAPP @t4329 @t1065) (tptp.hAPP @t1064 @t4345)))) % 6.51/6.71 (assume @p3210 (forall @t4348 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4347) @t4346)))) % 6.51/6.71 (assume @p3211 (forall (@list @t51 @t4351 @t1449 @t4352 @t47 @t8) (=> @t4353 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4351) @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t47 @t4352) @t4351)) @t4350)))))) % 6.51/6.71 (assume @p3212 (forall (@list @t51 @t392 @t393 @t8 @t47) (= (tptp.hAPP (tptp.c_Relation_OImage @t47 @t8 (tptp.hAPP (tptp.hAPP @t4354 @t393) @t392)) @t51) (tptp.hAPP @t4344 (tptp.hAPP (tptp.c_Relation_OImage @t47 @t8 @t392) @t51))))) % 6.51/6.71 (assume @p3213 (forall (@list @t2 @t1449 @t47 @t64 @t61 @t8) (= (tptp.hBOOL (tptp.hAPP @t4178 @t4339)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4241 (tptp.hAPP (tptp.hAPP @t4239 @t67) @t927)) @t1449))))) % 6.51/6.71 (assume @p3214 (forall (@list @t77 @t51 @t106 @t1449 @t47 @t8) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4358) @t4355)))) % 6.51/6.71 (assume @p3215 (forall @t4363 (= @t4362 (exists @t7 (and @t317 @t4360))))) % 6.51/6.71 (assume @p3216 (forall (@list @t1449 @t109 @t47 @t51 @t13 @t8) (=> @t176 (=> @t4364 (tptp.hBOOL (tptp.hAPP @t322 @t4350)))))) % 6.51/6.71 (assume @p3217 (forall (@list @t77 @t1449 @t8 @t47) (= (tptp.hAPP @t4329 @t77) (tptp.hAPP @t1103 (tptp.hAPP (tptp.hAPP @t4366 @t4329) @t4365))))) % 6.51/6.71 (assume @p3218 (forall (@list @t1190 @t1034 @t8) (=> @t2436 (= (tptp.hAPP @t3159 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4323 (tptp.hAPP (tptp.hAPP @t4277 (tptp.hAPP (tptp.hAPP @t4091 @t1034) @t1190)) @t4292)))) (tptp.hAPP (tptp.hAPP @t557 (tptp.hAPP @t2407 @t1034)) (tptp.hAPP @t2407 @t1190)))))) % 6.51/6.71 (assume @p3219 (= @t2453 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4323 (tptp.hAPP (tptp.hAPP @t4277 (tptp.hAPP (tptp.hAPP @t4091 @t1615) @t2094)) @t4292))))) % 6.51/6.71 (assume @p3220 (forall @t4309 (= (tptp.hAPP (tptp.hAPP @t2466 @t4370) @t4369) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4323 (tptp.hAPP (tptp.hAPP @t4277 (tptp.hAPP (tptp.hAPP @t4091 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t4368 @t1137)) (tptp.hAPP @t4367 @t1865))) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t4368 @t1865)) (tptp.hAPP @t4367 @t1137)))) @t4292)))))) % 6.51/6.71 (assume @p3221 (forall @t3218 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t4196) @t61))) % 6.51/6.71 (assume @p3222 (forall @t2702 (= (tptp.hAPP @t2427 @t4370) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4323 (tptp.hAPP (tptp.hAPP @t4277 (tptp.hAPP (tptp.hAPP @t4091 @t64) @t61)) @t4292)))))) % 6.51/6.71 (assume @p3223 (= @t2450 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4323 (tptp.hAPP (tptp.hAPP @t4277 (tptp.hAPP @t4105 @t2094)) @t4292))))) % 6.51/6.71 (assume @p3224 (forall @t2797 (= @t2446 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4323 (tptp.hAPP (tptp.hAPP @t4277 (tptp.hAPP @t4371 @t2094)) @t4292)))))) % 6.51/6.71 (assume @p3225 (forall @t4309 (= (tptp.hAPP (tptp.hAPP @t2454 @t4370) @t4369) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4323 (tptp.hAPP (tptp.hAPP @t4277 (tptp.hAPP (tptp.hAPP @t4091 (tptp.hAPP @t4306 @t1137)) (tptp.hAPP (tptp.hAPP @t1000 @t64) @t1865))) @t4292)))))) % 6.51/6.71 (assume @p3226 (forall @t2702 (= (tptp.hAPP tptp.c_Int_Onat @t4370) @t2645))) % 6.51/6.71 (assume @p3227 (forall @t2552 (= (tptp.hAPP @t2427 @t315) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4109 @t4280) @t4191) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4280) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4374 @t4374 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4280 @t4280 tptp.tc_Nat_Onat) @t4323)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4280 @t4374) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4373 (tptp.tc_fun @t4280 @t4374) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t4280 @t4280)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4110 @t4373 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4109 @t4372 tptp.tc_Nat_Onat) @t4277)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4109) @t4091)))) @t4292)))))))) % 6.51/6.71 (assume @p3228 (forall @t4309 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t4370) @t4369)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t4307) @t4305))))) % 6.51/6.71 (assume @p3229 (forall @t4309 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t4370) @t4369)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t4307) @t4305))))) % 6.51/6.71 (assume @p3230 (forall @t3846 (= (tptp.c_Relation_Oirrefl @t8 @t1449) @t4375))) % 6.51/6.71 (assume @p3231 (forall @t2552 (not (forall @t503 (not (= @t315 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4323 (tptp.hAPP (tptp.hAPP @t4277 @t4216) @t4292))))))))) % 6.51/6.71 (assume @p3232 (forall @t4380 (= (tptp.hAPP @t4376 (tptp.hAPP (tptp.hAPP @t4379 @t4378) @t1449)) (tptp.hAPP (tptp.hAPP @t193 @t121) @t4377)))) % 6.51/6.71 (assume @p3233 (forall @t4381 (= (tptp.hAPP @t4376 (tptp.c_Complete__Lattice_OSup__class_OSup @t4028 @t393)) (tptp.c_Complete__Lattice_OSup__class_OSup @t55 (tptp.hAPP (tptp.c_Set_Oimage @t4028 @t55 @t4376) @t393))))) % 6.51/6.71 (assume @p3234 (forall @t365 (= (tptp.hAPP @t4376 @t4030) @t56))) % 6.51/6.71 (assume @p3235 (forall @t4385 (=> @t4384 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4377) @t4382))))) % 6.51/6.71 (assume @p3236 (forall @t4385 (= (tptp.hAPP @t4376 @t4388) (tptp.hAPP (tptp.hAPP @t193 @t4377) @t4382)))) % 6.51/6.71 (assume @p3237 (forall @t3846 (=> @t4390 (tptp.hBOOL (tptp.hAPP @t359 @t4377))))) % 6.51/6.71 (assume @p3238 (forall @t199 (= @t4392 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t4028) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4028 @t4028) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4027 (tptp.tc_fun @t4028 @t4028) @t8) @t4379) @t4391)) @t4030))))) % 6.51/6.71 (assume @p3239 (forall @t4397 (= @t4396 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t1336) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1336 @t1336) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t3325 @t8) @t1348) (tptp.hAPP (tptp.hAPP @t4394 @t4393) @t492))) @t1337))))) % 6.51/6.71 (assume @p3240 (forall @t4363 (=> @t4362 (not (forall @t7 (=> @t4360 (not @t317))))))) % 6.51/6.71 (assume @p3241 (forall @t4397 (= (= @t4396 @t1337) @t57))) % 6.51/6.71 (assume @p3242 (forall @t4397 (= (= @t1337 @t4396) @t57))) % 6.51/6.71 (assume @p3243 (forall @t3846 (= (tptp.hAPP (tptp.hAPP @t4395 @t56) @t1449) @t1337))) % 6.51/6.71 (assume @p3244 (forall @t199 (= @t4392 (tptp.hAPP @t4336 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 tptp.tc_HOL_Obool @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1668 (tptp.tc_fun tptp.tc_HOL_Obool @t55) @t8) (tptp.c_COMBC @t8 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t1669 tptp.c_fequal))) @t51))))) % 6.51/6.71 (assume @p3245 (forall @t365 (= (tptp.c_Relation_OId__on @t8 @t56) @t4030))) % 6.51/6.71 (assume @p3246 (forall @t174 (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t4392) @t77) @t731))) % 6.51/6.71 (assume @p3247 (forall (@list @t1449 @t51 @t61 @t8) (=> @t156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1295 @t4398) @t4396))))) % 6.51/6.71 (assume @p3248 (forall @t253 (=> @t110 (=> @t176 (tptp.hBOOL (tptp.hAPP @t4399 @t4392)))))) % 6.51/6.71 (assume @p3249 (forall @t99 (= (tptp.hBOOL (tptp.hAPP @t4178 @t4392)) (and @t222 @t156)))) % 6.51/6.71 (assume @p3250 (forall @t4401 (= @t4400 (tptp.hAPP (tptp.hAPP @t1348 @t4398) @t1337)))) % 6.51/6.71 (assume @p3251 (forall (@list @t109 @t13 @t61 @t1449 @t51 @t8) (=> @t4405 (=> (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP (tptp.hAPP @t729 @t4404) @t4403))) @t4402)))) % 6.51/6.71 (assume @p3252 (forall (@list @t13 @t109 @t1449 @t51 @t8) (=> @t4405 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4403) @t4404)) @t4406)))) % 6.51/6.71 (assume @p3253 (forall (@list @t1449 @t51 @t157 @t8) (=> @t4407 (not (forall @t7 (=> (= @t157 (tptp.hAPP @t4393 @t710)) @t308)))))) % 6.51/6.71 (assume @p3254 (tptp.c_Equiv__Relations_Oequiv @t4109 @t4408 tptp.c_Int_Ointrel)) % 6.51/6.71 (assume @p3255 (forall @t4397 (=> @t4405 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t4396) @t51)))) % 6.51/6.71 (assume @p3256 (forall @t4409 (=> @t4405 (=> @t176 (tptp.hBOOL (tptp.hAPP @t175 @t4404)))))) % 6.51/6.71 (assume @p3257 (forall (@list @t144 @t157 @t1449 @t51 @t8) (=> @t4405 (=> @t4407 (=> @t4411 (or @t4410 (= (tptp.hAPP (tptp.hAPP @t729 @t157) @t144) @t56))))))) % 6.51/6.71 (assume @p3258 (forall @t4413 (=> @t4405 (=> @t4402 @t4412)))) % 6.51/6.71 (assume @p3259 (forall @t4417 (=> @t4405 (=> @t4407 (=> @t4411 (=> @t4416 (=> @t4415 (=> @t4414 @t4410)))))))) % 6.51/6.71 (assume @p3260 (forall @t4417 (=> @t4405 (=> @t4407 (=> @t4411 (=> @t4416 (=> @t4415 (= @t4410 @t4414)))))))) % 6.51/6.71 (assume @p3261 (forall @t4419 (=> @t4405 (= @t4414 (and @t4418 @t156 @t248))))) % 6.51/6.71 (assume @p3262 (forall (@list @t51 @t109 @t13 @t1449 @t8) (=> @t4412 (=> @t4405 @t4406)))) % 6.51/6.71 (assume @p3263 (forall @t4419 (=> @t4405 (=> @t156 (=> @t248 (= @t4418 @t4414)))))) % 6.51/6.71 (assume @p3264 (forall @t4413 (=> @t4405 (=> @t4402 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4404) @t4403)))))) % 6.51/6.71 (assume @p3265 (forall @t4419 (=> @t4405 (=> @t156 (=> @t248 (= (= @t4400 (tptp.hAPP (tptp.hAPP @t4395 @t1387) @t1449)) @t4414)))))) % 6.51/6.71 (assume @p3266 (forall (@list @t13 @t2 @t47 @t1449 @t51 @t8) (=> @t4405 (=> @t4420 (=> @t176 (= (tptp.hAPP (tptp.hAPP @t916 @t4404) @t2) @t80)))))) % 6.51/6.71 (assume @p3267 (forall (@list @t354 @t352 @t2 @t106 @t4421 @t4426 @t47 @t4424 @t4427 @t8) (=> @t4430 (=> @t4429 (=> @t4428 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t352) @t4427)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t189 @t354) @t4426)) (= (tptp.hAPP (tptp.hAPP @t4425 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t4424) (tptp.hAPP @t2058 @t56))) (tptp.hAPP (tptp.hAPP @t4423 (tptp.hAPP @t1067 (tptp.hAPP @t4422 (tptp.hAPP (tptp.hAPP @t50 @t354) @t49)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t352) @t354))))))))) % 6.51/6.71 (assume @p3268 (forall @t199 (= (tptp.c_Equiv__Relations_Oequiv @t8 @t1407 @t51) (tptp.c_Equiv__Relations_Oequivp @t8 (tptp.hAPP @t4274 @t51))))) % 6.51/6.71 (assume @p3269 (forall @t365 (tptp.c_Equiv__Relations_Oequivp @t8 tptp.c_fequal))) % 6.51/6.71 (assume @p3270 (forall @t4381 (= @t4432 (forall @t503 (= (tptp.hBOOL (tptp.hAPP @t4431 @t42)) (= @t4431 (tptp.hAPP @t393 @t42))))))) % 6.51/6.71 (assume @p3271 (forall (@list @t61 @t393 @t8) (=> @t4432 (tptp.hBOOL (tptp.hAPP @t4260 @t61))))) % 6.51/6.71 (assume @p3272 (forall (@list @t64 @t61 @t393 @t8) (=> @t4432 (=> @t4434 (tptp.hBOOL (tptp.hAPP @t4433 @t61)))))) % 6.51/6.71 (assume @p3273 (forall (@list @t315 @t64 @t61 @t393 @t8) (=> @t4432 (=> @t4434 (=> (tptp.hBOOL (tptp.hAPP @t4433 @t315)) (tptp.hBOOL (tptp.hAPP @t4260 @t315))))))) % 6.51/6.71 (assume @p3274 (forall (@list @t13 @t2 @t4421 @t106 @t47 @t4424 @t51 @t8) (=> (tptp.c_Equiv__Relations_Oequiv @t8 @t51 @t4424) (=> @t4435 (=> @t176 (tptp.c_Equiv__Relations_Ocongruent @t47 @t106 @t4421 @t80)))))) % 6.51/6.71 (assume @p3275 (forall (@list @t4436 @t4438 @t4437 @t4439 @t2 @t4421 @t4424 @t106 @t47 @t8) (=> @t4435 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP (tptp.hAPP @t4073 @t4439) @t4437)) @t4424)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4241 (tptp.hAPP (tptp.hAPP @t4239 @t4438) @t4436)) @t4421)) (= (tptp.hAPP (tptp.hAPP @t2 @t4439) @t4438) (tptp.hAPP (tptp.hAPP @t2 @t4437) @t4436))))))) % 6.51/6.71 (assume @p3276 (forall (@list @t315 @t64 @t2 @t1449 @t47 @t8) (=> @t4442 (=> (tptp.hBOOL (tptp.hAPP @t4441 @t1449)) (= @t927 @t662))))) % 6.51/6.71 (assume @p3277 (forall (@list @t13 @t2 @t106 @t4421 @t4426 @t47 @t4424 @t4427 @t8) (=> @t4430 (=> @t4429 (=> @t4428 (=> (tptp.hBOOL (tptp.hAPP @t338 @t4426)) (tptp.c_Equiv__Relations_Ocongruent @t8 @t778 @t4424 (tptp.hAPP (tptp.hAPP @t4423 (tptp.hAPP @t1067 (tptp.hAPP @t4422 @t1147))) @t2)))))))) % 6.51/6.71 (assume @p3278 (forall (@list @t144 @t157 @t2 @t47 @t1449 @t51 @t8) (=> @t4405 (=> @t4420 (=> (= @t4447 (tptp.hAPP (tptp.hAPP @t916 @t144) @t2)) (=> @t4407 (=> @t4411 (=> (forall @t7 (=> @t234 (forall @t44 (=> @t3501 (=> @t4446 @t4444))))) @t4410)))))))) % 6.51/6.71 (assume @p3279 (forall (@list @t77 @t4448 @t4449 @t2 @t106 @t4421 @t4426 @t47 @t4424 @t4427 @t8) (=> @t4430 (=> @t4429 (=> @t4428 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1295 @t4449) (tptp.hAPP (tptp.hAPP @t4395 @t4427) @t4424))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4452 @t4448) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t47) @t4426) @t4421))) (=> (forall @t3095 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t3093) @t4427)) (forall (@list @t4451) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t189 @t4451) @t4426)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4450 (tptp.hAPP (tptp.hAPP @t2 @t3093) @t4451)) @t77)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4450 (tptp.hAPP (tptp.hAPP @t4425 @t4449) (tptp.hAPP (tptp.hAPP @t4423 (tptp.hAPP @t1067 @t4448)) @t2))) @t77)))))))))) % 6.51/6.71 (assume @p3280 (forall (@list @t77 @t157 @t2 @t47 @t1449 @t51 @t8) (=> @t4405 (=> @t4420 (=> @t4407 (=> (forall @t7 (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4452 @t5) @t77)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4452 @t4447) @t77)))))))) % 6.51/6.71 (assume @p3281 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t4109) @t4408) tptp.c_Int_Ointrel))) % 6.51/6.71 (assume @p3282 (forall @t1300 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 @t18) @t4392)) (not (forall @t7 (=> @t234 (not (= @t18 @t4075)))))))) % 6.51/6.71 (assume @p3283 (forall @t4397 (=> @t363 (=> @t4453 (= (tptp.hAPP @t3312 @t4396) @t1386))))) % 6.51/6.71 (assume @p3284 (forall @t999 (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t56))) % 6.51/6.71 (assume @p3285 (forall @t199 (=> @t601 (tptp.c_Fun_Oinj__on @t8 @t8 @t1312 @t51)))) % 6.51/6.71 (assume @p3286 (forall @t86 (= @t4454 (forall @t7 (=> @t234 (forall @t817 (=> @t2314 (=> (= @t5 @t2313) @t814)))))))) % 6.51/6.71 (assume @p3287 (forall @t199 (tptp.c_Fun_Oinj__on @t8 @t8 @t145 @t51))) % 6.51/6.71 (assume @p3288 (forall @t588 (=> @t4454 (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t539)))) % 6.51/6.71 (assume @p3289 (forall @t588 (=> @t4454 (=> @t4455 (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t731))))) % 6.51/6.71 (assume @p3290 (forall @t4456 (=> @t4455 (=> @t173 @t4454)))) % 6.51/6.71 (assume @p3291 (forall @t4459 (=> @t4454 (=> @t633 (=> @t156 (=> @t248 @t4458)))))) % 6.51/6.71 (assume @p3292 (forall @t4459 (=> @t4454 (=> @t156 (=> @t248 @t4460))))) % 6.51/6.71 (assume @p3293 (forall @t4459 (=> @t4454 (=> @t4457 (=> @t156 (=> @t248 @t222)))))) % 6.51/6.71 (assume @p3294 (forall @t588 (=> @t4462 @t4461))) % 6.51/6.71 (assume @p3295 (forall @t86 (=> (tptp.hBOOL (tptp.hAPP @t359 @t85)) (=> @t4463 @t517)))) % 6.51/6.71 (assume @p3296 (forall @t86 (=> @t4454 @t4464))) % 6.51/6.71 (assume @p3297 (forall @t588 (=> @t4465 @t4461))) % 6.51/6.71 (assume @p3298 (forall @t659 (=> @t4465 (=> @t4457 @t222)))) % 6.51/6.71 (assume @p3299 (forall @t659 (=> @t4465 @t4460))) % 6.51/6.71 (assume @p3300 (forall (@list @t106 @t2 @t47 @t8) (=> @t4465 (tptp.c_Fun_Oinj__on @t8 @t2089 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t47 @t2089 @t8) (tptp.c_COMBK @t47 @t106)) @t2) @t1407)))) % 6.51/6.71 (assume @p3301 (forall @t4456 (=> @t4455 (=> @t615 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t48) @t320) @t326)))))) % 6.51/6.71 (assume @p3302 (forall (@list @t109 @t2 @t47 @t8) (=> @t4465 (= (tptp.hBOOL (tptp.hAPP @t322 (tptp.hAPP @t319 @t1407))) (exists @t7 (and (= @t109 @t5) (forall @t44 (=> (= @t109 @t4445) @t4466)))))))) % 6.51/6.71 (assume @p3303 (forall @t846 (=> @t4465 (= (tptp.hBOOL (tptp.hAPP @t4467 @t320)) @t176)))) % 6.51/6.71 (assume @p3304 (forall (@list @t4351 @t47 @t8 @t51) (=> @t58 (= (exists @t3317 (and @t4470 (tptp.hBOOL (tptp.hAPP @t4469 @t4351)))) (exists (@list @t4468) (= (tptp.hAPP (tptp.c_Set_Oimage @t47 @t8 @t4468) @t4351) @t51)))))) % 6.51/6.71 (assume @p3305 (forall @t2316 (=> @t363 (=> (tptp.hBOOL (tptp.hAPP @t172 @t4473)) @t4471)))) % 6.51/6.71 (assume @p3306 (forall @t2316 (=> @t363 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4473) @t51)) (=> @t4471 (= @t4473 @t51)))))) % 6.51/6.71 (assume @p3307 (forall @t4476 (=> @t1461 (=> @t4475 @t4474)))) % 6.51/6.71 (assume @p3308 (forall @t4476 (=> @t1461 (=> @t4474 @t4475)))) % 6.51/6.71 (assume @p3309 (forall @t588 (=> @t4465 (= @t328 @t173)))) % 6.51/6.71 (assume @p3310 (forall @t4479 (=> @t4478 (=> @t266 (=> @t267 @t4477))))) % 6.51/6.71 (assume @p3311 (forall @t588 (=> @t4465 @t4477))) % 6.51/6.71 (assume @p3312 (forall @t718 (=> @t363 (= @t4454 @t4464)))) % 6.51/6.71 (assume @p3313 (forall @t718 (=> @t363 (=> @t4464 @t4454)))) % 6.51/6.71 (assume @p3314 (forall @t4479 (=> @t4478 (=> @t266 (=> @t267 @t4481))))) % 6.51/6.71 (assume @p3315 (forall @t588 (=> @t4465 @t4481))) % 6.51/6.71 (assume @p3316 (forall @t86 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 (tptp.hAPP @t1385 @t85)) @t2508)) (not @t4463)))) % 6.51/6.71 (assume @p3317 (forall (@list @t61 @t64 @t51 @t2 @t47 @t8) (=> @t4454 (=> (not @t4483) (tptp.c_Fun_Oinj__on @t8 @t47 @t605 @t51))))) % 6.51/6.71 (assume @p3318 (forall @t365 (tptp.c_Fun_Oinj__on @t8 @t55 @t492 @t1407))) % 6.51/6.71 (assume @p3319 (forall @t3218 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4484 @t4196) tptp.c_Int_OInteg)))) % 6.51/6.71 (assume @p3320 (forall (@list @t1 @t77 @t51 @t2 @t47 @t8) (=> @t4454 (=> @t4485 (=> (tptp.c_Fun_Oinj__on @t47 @t8 @t1 @t77) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t1554 @t77)) @t51)) (=> @t363 (=> @t367 (= @t1386 @t2423))))))))) % 6.51/6.71 (assume @p3321 (forall @t86 (=> @t4465 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP @t319 @t1298)) (tptp.hAPP @t1578 @t320)))))) % 6.51/6.71 (assume @p3322 (forall @t846 (= (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t90) (and @t4454 (not (tptp.hBOOL (tptp.hAPP @t4467 (tptp.hAPP @t319 @t584)))))))) % 6.51/6.71 (assume @p3323 (forall @t588 (= @t4462 (and @t4454 @t4455 (= (tptp.hAPP (tptp.hAPP @t855 @t4480) (tptp.hAPP @t319 @t563)) @t49))))) % 6.51/6.71 (assume @p3324 (forall @t588 (=> @t4454 (=> @t4485 (=> @t367 @t4486))))) % 6.51/6.71 (assume @p3325 (forall @t954 (=> @t363 (=> @t367 (= (exists @t3317 (and @t4470 (tptp.hBOOL (tptp.hAPP @t4469 @t77)))) @t4486))))) % 6.51/6.71 (assume @p3326 (forall (@list @t13 @t51 @t1449 @t8) (=> @t4453 (=> @t176 (= (tptp.hAPP (tptp.hAPP @t4395 @t584) @t1449) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t1336) @t4396) (tptp.hAPP (tptp.hAPP @t4395 @t113) @t1449))))))) % 6.51/6.71 (assume @p3327 (forall (@list @t1190 @t77 @t51 @t106 @t225 @t2 @t47 @t8) (=> @t4478 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3988 @t3) @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t951) @t225)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3988 @t1190) @t51)) (= (tptp.hAPP @t319 (tptp.hAPP @t1505 @t77)) (tptp.hAPP @t4356 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t48 @t106) @t319) @t77)))))))) % 6.51/6.71 (assume @p3328 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t4280 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 6.51/6.71 (assume @p3329 (forall (@list @t77 @t61 @t51 @t2 @t47 @t8) (=> @t4454 (=> (tptp.hBOOL (tptp.hAPP @t190 @t320)) (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t4488) @t77))))))) % 6.51/6.71 (assume @p3330 (forall @t1639 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t505))) % 6.51/6.71 (assume @p3331 (forall @t199 (tptp.c_Fun_Oinj__on @t8 @t687 @t65 @t51))) % 6.51/6.71 (assume @p3332 (forall (@list @t505 @t690) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2829 @t505))) % 6.51/6.71 (assume @p3333 (forall @t365 (=> @t2432 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t8 @t2407 @t1624)))) % 6.51/6.71 (assume @p3334 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2425 @t1624)) % 6.51/6.71 (assume @p3335 (forall (@list @t4489 @t337 @t47 @t8) (= (tptp.c_Fun_Oinj__on @t8 @t693 (tptp.c_Map_Omap__add @t8 @t47 @t337 @t4489) @t4490) (tptp.c_Fun_Oinj__on @t8 @t693 @t4489 @t4490)))) % 6.51/6.71 (assume @p3336 (forall @t2163 (tptp.c_Fun_Oinj__on @t1469 @t4325 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t47 @t4325) @t4491) @t51))) % 6.51/6.71 (assume @p3337 (forall @t4459 (=> @t4454 (=> @t658 (=> @t156 (= @t4492 @t61)))))) % 6.51/6.71 (assume @p3338 (forall @t4493 (=> @t4454 (=> @t156 (= (tptp.hAPP @t4487 @t67) @t61))))) % 6.51/6.71 (assume @p3339 (forall @t86 (=> @t4454 (= (tptp.hAPP (tptp.c_Set_Oimage @t47 @t8 @t4487) @t320) @t51)))) % 6.51/6.71 (assume @p3340 (forall @t86 (=> @t4454 (tptp.c_Fun_Oinj__on @t47 @t8 @t4487 @t320)))) % 6.51/6.71 (assume @p3341 (forall @t626 (=> @t4465 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t8 @t47 @t1407 @t2) @t67) @t61)))) % 6.51/6.71 (assume @p3342 (forall @t997 (tptp.c_Fun_Oinj__on @t203 @t1470 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1470 @t1470 @t203) @t3908) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3938 @t1470 @t203) @t3907) (tptp.hAPP @t2090 (tptp.hAPP (tptp.c_COMBC @t47 @t47 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t1459))) % 6.51/6.71 (assume @p3343 (forall (@list @t61 @t2 @t51 @t47 @t8) (= @t4488 (tptp.c_HOL_OThe @t8 (tptp.hAPP @t1537 (tptp.hAPP @t2092 @t61)))))) % 6.51/6.71 (assume @p3344 (forall (@list @t64 @t51 @t2 @t47 @t8) (=> @t4454 (=> @t4483 (= (tptp.hAPP @t2 @t4492) @t64))))) % 6.51/6.71 (assume @p3345 (forall @t4497 (=> @t4496 (= (tptp.hAPP (tptp.c_Set_Oimage @t47 @t8 @t4494) @t51) @t1407)))) % 6.51/6.71 (assume @p3346 (forall @t4497 (=> @t4496 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t47 @t4495) @t1407) @t51)))) % 6.51/6.71 (assume @p3347 (forall @t4499 (=> @t4496 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t189 @t4498) @t51))))) % 6.51/6.71 (assume @p3348 (forall @t4500 (=> @t4496 (= (= @t4498 (tptp.hAPP @t4495 @t64)) @t222)))) % 6.51/6.71 (assume @p3349 (forall @t4499 (=> @t4496 (= (tptp.hAPP @t4494 @t4498) @t61)))) % 6.51/6.71 (assume @p3350 (forall @t4500 (=> @t4496 (=> @t191 (=> @t4502 (= (= (tptp.hAPP @t4494 @t61) @t4501) @t222)))))) % 6.51/6.71 (assume @p3351 (forall (@list @t64 @t51 @t4494 @t4495 @t47 @t8) (=> @t4496 (=> @t4502 (= (tptp.hAPP @t4495 @t4501) @t64))))) % 6.51/6.71 (assume @p3352 (forall @t4505 (=> @t4465 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4504) (tptp.hAPP (tptp.hAPP @t81 (tptp.c_HOL_OThe @t8 (tptp.hAPP @t2092 @t13))) @t56)))))) % 6.51/6.71 (assume @p3353 (forall (@list @t61 @t690 @t32 @t106 @t2 @t47 @t8) (=> @t4465 (=> (= (tptp.hAPP (tptp.hAPP @t4510 @t32) @t690) @t4507) (= (tptp.hAPP (tptp.hAPP @t4509 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4508 @t3956) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t106 @t3956) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t47 @t3963 @t8) @t3958) @t2))) @t32)) (tptp.hAPP @t2 @t690)) @t4507))))) % 6.51/6.71 (assume @p3354 (forall (@list @t4226 @t616 @t456 @t8) (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t8 @t456 @t616 @t4227) (tptp.hAPP @t616 @t4226)))) % 6.51/6.71 (assume @p3355 (forall (@list @t47 @t77 @t8 @t109 @t13 @t2) (=> @t4513 (=> (tptp.hBOOL (tptp.hAPP @t188 @t77)) (tptp.hBOOL (tptp.hAPP @t338 @t4512)))))) % 6.51/6.71 (assume @p3356 (forall @t999 (=> @t4465 @t4520))) % 6.51/6.71 (assume @p3357 (forall @t999 (= @t4520 @t4465))) % 6.51/6.71 (assume @p3358 (forall @t4527 (=> @t4465 @t4526))) % 6.51/6.71 (assume @p3359 (forall @t999 (=> @t4520 @t4465))) % 6.51/6.71 (assume @p3360 (forall @t4533 (=> @t4532 (=> (tptp.c_Fun_Oinj__on @t47 @t8 @t2 @t1455) @t4523)))) % 6.51/6.71 (assume @p3361 (forall @t86 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4535) @t51)))) % 6.51/6.71 (assume @p3362 (forall @t999 (= (tptp.hAPP @t4503 @t1455) @t1407))) % 6.51/6.71 (assume @p3363 (forall @t999 (= (tptp.hAPP @t4503 @t49) @t56))) % 6.51/6.71 (assume @p3364 (forall @t588 (= (tptp.hAPP @t4503 @t306) (tptp.hAPP (tptp.hAPP @t193 @t4537) @t4536)))) % 6.51/6.71 (assume @p3365 (forall @t4539 (= (tptp.hAPP @t4503 @t4357) (tptp.hAPP @t1505 @t4538)))) % 6.51/6.71 (assume @p3366 (forall @t329 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t4534) @t4512))))) % 6.51/6.71 (assume @p3367 (forall @t588 (= (tptp.hAPP @t4503 @t857) (tptp.hAPP (tptp.hAPP @t729 @t4537) @t4536)))) % 6.51/6.71 (assume @p3368 (forall (@list @t136 @t2 @t47 @t8) (= (tptp.hAPP @t4503 @t1569) (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t1685 @t136) @t2))))) % 6.51/6.71 (assume @p3369 (forall @t86 (= (tptp.hAPP @t4503 @t1579) (tptp.hAPP @t1288 @t4537)))) % 6.51/6.71 (assume @p3370 (forall @t4542 (= (tptp.hAPP @t4541 @t4522) @t4522))) % 6.51/6.71 (assume @p3371 (forall @t146 (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t8 @t145) @t144) @t144))) % 6.51/6.71 (assume @p3372 (forall @t4493 (= (tptp.hBOOL (tptp.hAPP @t4537 @t61)) (tptp.hBOOL (tptp.hAPP @t51 @t67))))) % 6.51/6.71 (assume @p3373 (forall @t4539 (= (tptp.hAPP @t4503 @t1065) (tptp.hAPP @t1064 @t4538)))) % 6.51/6.71 (assume @p3374 (forall @t588 (= (tptp.hAPP @t4503 @t587) (tptp.hAPP (tptp.hAPP @t528 @t4537) @t4536)))) % 6.51/6.71 (assume @p3375 (forall (@list @t47 @t51 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t80) @t51)) (tptp.hBOOL (tptp.hAPP @t338 @t4534))))) % 6.51/6.71 (assume @p3376 (forall (@list @t51 @t2 @t47 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t175 @t4537)) (tptp.hBOOL (tptp.hAPP @t4467 @t51))))) % 6.51/6.71 (assume @p3377 (forall (@list @t77 @t2 @t47 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t175 @t4536)) (tptp.hBOOL (tptp.hAPP @t4467 @t77))))) % 6.51/6.71 (assume @p3378 (forall @t88 (=> @t1580 (= @t4535 @t51)))) % 6.51/6.71 (assume @p3379 (forall @t4543 (= @t4536 (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t48 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t47 (tptp.tc_fun @t48 tptp.tc_HOL_Obool) @t8) @t189) @t2)) @t77))))) % 6.51/6.71 (assume @p3380 (forall @t86 (= (tptp.hAPP @t4503 @t1362) (tptp.hAPP @t1360 @t4503)))) % 6.51/6.71 (assume @p3381 (forall (@list @t109 @t2 @t47 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t175 (tptp.hAPP @t4503 (tptp.hAPP @t4544 @t49)))) @t4513))) % 6.51/6.71 (assume @p3382 (forall (@list @t77 @t13 @t2 @t47 @t8) (= (tptp.hAPP @t4503 @t83) (tptp.hAPP (tptp.hAPP @t193 @t4504) @t4536)))) % 6.51/6.71 (assume @p3383 (forall (@list @t123 @t356 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP @t359 (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t47 @t356) @t123))) (=> (= (tptp.hAPP @t357 @t1407) @t1455) (tptp.hBOOL (tptp.hAPP @t358 @t123)))))) % 6.51/6.71 (assume @p3384 (forall (@list @t51 @t77 @t2 @t8 @t47) (=> @t1580 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t4512) @t51)) @t325)))) % 6.51/6.71 (assume @p3385 (forall @t88 (= @t4535 (tptp.hAPP @t730 @t1531)))) % 6.51/6.71 (assume @p3386 (forall @t361 (=> @t360 (=> (tptp.c_Fun_Oinj__on @t47 @t8 @t356 @t1455) (tptp.hBOOL (tptp.hAPP @t358 (tptp.hAPP (tptp.c_Set_Ovimage @t47 @t8 @t356) @t123))))))) % 6.51/6.71 (assume @p3387 (forall @t86 (=> @t4465 (= (tptp.hAPP @t4503 @t320) @t51)))) % 6.51/6.71 (assume @p3388 (forall (@list @t47 @t51 @t18 @t8) (and (=> @t163 (= @t4546 @t1455)) (=> @t164 (= @t4546 @t49))))) % 6.51/6.71 (assume @p3389 (forall @t4543 (= @t4536 (tptp.hAPP @t1103 (tptp.hAPP (tptp.hAPP @t4366 @t4503) @t4365))))) % 6.51/6.71 (assume @p3390 (forall @t4456 (=> @t4465 (=> @t369 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4536) @t51)))))) % 6.51/6.71 (assume @p3391 (forall (@list @t77 @t47 @t116 @t51 @t18 @t8) (and (=> @t163 (and (=> @t4548 (= @t4547 @t1455)) (=> @t4549 (= @t4547 @t77)))) (=> @t164 (and (=> @t4548 (= @t4547 (tptp.hAPP @t1578 @t77))) (=> @t4549 (= @t4547 @t49))))))) % 6.51/6.71 (assume @p3392 (forall @t2104 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t8 @t456 @t616 @t3866) @t456))) % 6.51/6.71 (assume @p3393 (forall (@list @t337 @t47 @t4522 @t8) (=> (= @t4554 @t786) (= (tptp.hAPP @t2254 (tptp.hAPP (tptp.hAPP @t4552 (tptp.hAPP @t4551 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t693 @t47 @t8) @t4550) @t337))) @t4522)) @t337)))) % 6.51/6.71 (assume @p3394 (forall (@list @t4522 @t2 @t106 @t47 @t8) (= (tptp.hAPP @t2254 (tptp.hAPP @t4558 @t4522)) (tptp.hAPP @t4556 (tptp.hAPP @t4510 @t4522))))) % 6.51/6.71 (assume @p3395 (forall @t4562 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t8 @t4561) @t61)) @t4560))) % 6.51/6.71 (assume @p3396 (forall @t4542 (tptp.hBOOL (tptp.hAPP @t359 @t4554)))) % 6.51/6.71 (assume @p3397 (forall @t4566 (= (tptp.hAPP @t4553 @t4531) @t4565))) % 6.51/6.71 (assume @p3398 (forall (@list @t1 @t4522 @t2 @t8 @t47) (= (= @t4531 @t4567) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t316 @t4564)) @t6))))) % 6.51/6.71 (assume @p3399 (forall @t4573 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4572 @t4519 @t4514 @t4571) (tptp.hAPP (tptp.c_List_Omap @t8 @t106) @t1)) (tptp.hAPP @t4517 @t4569)))) % 6.51/6.71 (assume @p3400 (forall (@list @t4574 @t1 @t106 @t2 @t8 @t47) (= (tptp.hAPP @t4529 (tptp.hAPP @t4578 @t4574)) (tptp.hAPP @t4577 @t4574)))) % 6.51/6.71 (assume @p3401 (forall (@list @t4522 @t1 @t106 @t2 @t8 @t47) (= (tptp.hAPP @t4529 (tptp.hAPP @t4578 @t4522)) (tptp.hAPP @t4577 @t4522)))) % 6.51/6.71 (assume @p3402 (forall (@list @t61 @t2 @t1 @t106 @t47 @t8) (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t47 @t4579) @t61) (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t106 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t106 @t47 @t1) @t61))))) % 6.51/6.71 (assume @p3403 (forall @t659 (=> @t887 (= @t4582 @t4580)))) % 6.51/6.71 (assume @p3404 (forall (@list @t4583 @t1 @t106 @t2 @t8 @t47) (= (tptp.hAPP @t2082 (tptp.hAPP @t4585 @t4583)) (tptp.hAPP @t4584 @t4583)))) % 6.51/6.71 (assume @p3405 (forall (@list @t2083 @t1 @t106 @t2 @t8 @t47) (= (tptp.hAPP @t2082 (tptp.hAPP @t4585 @t2083)) (tptp.hAPP @t4584 @t2083)))) % 6.51/6.71 (assume @p3406 (forall @t4589 (=> (= @t4588 @t18) @t4587))) % 6.51/6.71 (assume @p3407 (forall (@list @t4042 @t4043 @t106 @t8 @t47 @t4590 @t4591 @t4592 @t61 @t1 @t2) (=> (= @t512 (tptp.hAPP @t4592 (tptp.hAPP @t4591 @t4590))) (= @t4593 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t4043 @t8 @t4042 @t4592) @t4591) @t4590))))) % 6.51/6.71 (assume @p3408 (forall (@list @t356 @t1 @t4043 @t2 @t8 @t47 @t106) (= (tptp.hAPP @t4568 (tptp.hAPP (tptp.c_Fun_Ocomp @t4043 @t106 @t8 @t1) @t356)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4043 @t47 @t8 @t4594) @t356)))) % 6.51/6.71 (assume @p3409 (forall (@list @t61 @t1 @t2 @t106 @t8 @t47) (= @t4593 @t512))) % 6.51/6.71 (assume @p3410 (forall (@list @t1865 @t116 @t18 @t4043 @t109 @t13 @t8 @t47 @t106) (=> @t4595 (= @t4586 (tptp.hAPP @t18 (tptp.hAPP @t116 @t1865)))))) % 6.51/6.71 (assume @p3411 (forall (@list @t116 @t18 @t4043 @t109 @t13 @t8 @t47 @t106) (=> @t4595 (forall @t1027 (= (tptp.hAPP @t13 (tptp.hAPP @t109 @t1026)) (tptp.hAPP @t18 (tptp.hAPP @t116 @t1026))))))) % 6.51/6.71 (assume @p3412 (forall @t4573 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t2088 @t693 @t687 @t4555) (tptp.hAPP (tptp.c_Option_Omap @t8 @t106) @t1)) (tptp.hAPP @t2081 @t4569)))) % 6.51/6.71 (assume @p3413 (forall (@list @t61 @t2 @t18 @t106 @t8 @t47) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t8 @t106 @t4545) @t2) @t61) @t18))) % 6.51/6.71 (assume @p3414 (forall (@list @t64 @t61 @t1 @t2 @t8 @t47 @t106) (= (tptp.hAPP @t4568 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t8 @t106) @t1) @t61) @t64)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t602 @t4569) @t61) @t927)))) % 6.51/6.71 (assume @p3415 (forall @t626 (=> @t669 @t4596))) % 6.51/6.71 (assume @p3416 (forall @t4253 (= (tptp.hAPP @t4104 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t4043 @t106 @t8 @t1) @t61)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t4043 @t47 @t8 @t4594) @t61)))) % 6.51/6.71 (assume @p3417 (forall @t4250 (= (tptp.hAPP @t4249 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t4043 @t106 @t47 @t1) @t61)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t4043 @t8 @t47 (tptp.hAPP (tptp.c_Fun_Ocomp @t106 @t8 @t4043 @t2) @t1)) @t61)))) % 6.51/6.71 (assume @p3418 (forall (@list @t1449 @t1 @t2 @t106 @t8 @t47) (= (tptp.hAPP (tptp.c_Set_Oimage @t47 @t8 (tptp.hAPP (tptp.c_Fun_Ocomp @t106 @t8 @t47 @t2) @t1)) @t1449) (tptp.hAPP @t1525 (tptp.hAPP @t1524 @t1449))))) % 6.51/6.71 (assume @p3419 (forall (@list @t1 @t106 @t2 @t8 @t47) (=> @t1580 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t106 @t1) @t1407) @t4597) (= (tptp.hAPP (tptp.c_Set_Oimage @t47 @t106 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t106 @t47 @t1) @t2)) @t1455) @t4597))))) % 6.51/6.71 (assume @p3420 (forall @t365 (not (tptp.hBOOL (tptp.hAPP @t4598 @t4516))))) % 6.51/6.71 (assume @p3421 (forall @t679 (=> @t4465 (=> (tptp.c_Fun_Oinj__on @t106 @t8 @t1 @t4597) (tptp.c_Fun_Oinj__on @t106 @t47 @t4599 @t4597))))) % 6.51/6.71 (assume @p3422 (forall (@list @t4592 @t106 @t51 @t2 @t47 @t8) (=> @t4454 (= (tptp.c_Fun_Oinj__on @t47 @t106 @t4592 @t320) (tptp.c_Fun_Oinj__on @t8 @t106 (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t106 @t8 @t4592) @t2) @t51))))) % 6.51/6.71 (assume @p3423 (forall (@list @t1 @t106 @t51 @t2 @t47 @t8) (=> @t4454 (=> (tptp.c_Fun_Oinj__on @t47 @t106 @t1 @t320) (tptp.c_Fun_Oinj__on @t8 @t106 (tptp.hAPP @t4600 @t2) @t51))))) % 6.51/6.71 (assume @p3424 (forall (@list @t51 @t2 @t1 @t106 @t47 @t8) (=> (tptp.c_Fun_Oinj__on @t8 @t47 @t4579 @t51) (tptp.c_Fun_Oinj__on @t106 @t47 @t1 (tptp.hAPP @t1594 @t51))))) % 6.51/6.71 (assume @p3425 (forall (@list @t51 @t2 @t4592 @t106 @t47 @t8) (=> (tptp.c_Fun_Oinj__on @t8 @t47 (tptp.hAPP (tptp.c_Fun_Ocomp @t106 @t47 @t8 @t4592) @t2) @t51) (tptp.c_Fun_Oinj__on @t8 @t106 @t2 @t51)))) % 6.51/6.71 (assume @p3426 (forall @t4185 (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t693 @t687 @t106 @t2082) @t1879) @t61) @t983))) % 6.51/6.71 (assume @p3427 (forall (@list @t4601 @t2 @t47 @t8) (= (tptp.hAPP @t2254 (tptp.hAPP (tptp.hAPP @t4552 (tptp.hAPP @t4551 @t2)) @t4601)) (tptp.c_Map_Orestrict__map @t8 @t47 (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t693 @t8 @t618) @t2) (tptp.hAPP @t4553 @t4601))))) % 6.51/6.71 (assume @p3428 (forall @t4605 (=> @t1614 (=> @t4455 (= (tptp.hAPP @t4604 @t326) (tptp.hAPP @t4603 @t77)))))) % 6.51/6.71 (assume @p3429 (forall @t4612 (=> @t4611 (=> @t4454 (=> @t4610 (=> (= @t1 @t4602) @t4609)))))) % 6.51/6.71 (assume @p3430 (forall @t4605 (=> @t4611 (=> @t4455 (= (tptp.hAPP @t4608 @t326) (tptp.hAPP (tptp.hAPP @t4606 @t4602) @t77)))))) % 6.51/6.71 (assume @p3431 (forall @t4139 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 @t4136) @t4137)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.c_Wellfounded_Oacc @t8 @t4137)) (tptp.c_Wellfounded_Oacc @t8 @t4136)))))) % 6.51/6.71 (assume @p3432 (forall @t4527 (=> @t4615 @t4526))) % 6.51/6.71 (assume @p3433 (forall @t4533 (=> @t4532 (=> (tptp.c_Fun_Oinj__on @t47 @t8 @t2 (tptp.hAPP (tptp.hAPP @t304 @t4564) @t4616)) @t4523)))) % 6.51/6.71 (assume @p3434 (forall (@list @t1865 @t2 @t47 @t4522 @t64 @t8) (=> (not @t4617) (= (tptp.hAPP (tptp.hAPP @t4517 (tptp.hAPP (tptp.hAPP @t603 @t64) @t1865)) @t4522) @t4525)))) % 6.51/6.71 (assume @p3435 (forall @t86 (=> (tptp.c_Fun_Oinj__on @t8 @t47 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t55 (tptp.hAPP @t4618 @t51))) (tptp.c_Fun_Oinj__on @t4514 @t4519 @t4518 @t51)))) % 6.51/6.71 (assume @p3436 (forall (@list @t109 @t13 @t337 @t2 @t8 @t47 @t106) (= (tptp.hAPP @t4556 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t8 @t2088) @t337) @t13) (tptp.hAPP @t4506 @t109))) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 (tptp.hAPP @t4556 @t337)) @t13) (tptp.hAPP @t618 (tptp.hAPP @t2 @t109)))))) % 6.51/6.71 (assume @p3437 (forall @t4626 (=> @t4625 (= (tptp.hAPP @t4621 @t4622) (tptp.hAPP @t4621 @t4620))))) % 6.51/6.71 (assume @p3438 (forall @t4630 (=> @t910 (=> @t363 (=> @t4629 (= (tptp.hAPP @t907 @t4628) (tptp.hAPP (tptp.hAPP @t719 @t4627) @t51))))))) % 6.51/6.71 (assume @p3439 (forall @t4630 (=> @t1712 (=> @t363 (=> @t4629 (= (tptp.hAPP @t2098 @t4628) (tptp.hAPP (tptp.hAPP @t2097 @t4627) @t51))))))) % 6.51/6.71 (assume @p3440 (forall (@list @t13 @t1449 @t109 @t8) (=> @t4632 (=> @t4402 @t4631)))) % 6.51/6.71 (assume @p3441 (forall @t4634 (= @t4631 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t4074 @t13)) @t1449)) @t4633))))) % 6.51/6.71 (assume @p3442 (forall (@list @t61 @t51 @t1 @t106 @t2 @t47 @t8) (=> (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t4635) (=> (tptp.c_Fun_Oinj__on @t106 @t8 @t1 @t51) (=> (tptp.hBOOL (tptp.hAPP @t190 (tptp.hAPP @t319 @t4635))) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t106 @t47 @t51 @t4599) @t61) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t106 @t47 (tptp.c_Fun_Othe__inv__into @t106 @t8 @t51 @t1)) (tptp.c_Fun_Othe__inv__into @t8 @t47 @t4635 @t2)) @t61))))))) % 6.51/6.71 (assume @p3443 (forall (@list @t64 @t690 @t4522 @t8 @t47) (=> (= @t4637 @t66) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4326 (tptp.hAPP (tptp.hAPP @t4179 @t690) @t64)) (tptp.hAPP @t4636 @t4522)))))) % 6.51/6.71 (assume @p3444 (forall (@list @t64 @t61 @t2334 @t8 @t47) (=> (= @t4640 @t66) (tptp.hBOOL (tptp.hAPP @t4639 @t4638))))) % 6.51/6.71 (assume @p3445 (forall @t2336 (= (tptp.c_Map_Odom @t8 @t47 @t4642) (tptp.hAPP @t4621 @t4641)))) % 6.51/6.71 (assume @p3446 (forall (@list @t315 @t1 @t356 @t47 @t51 @t8 @t106) (=> (tptp.class_Groups_Oab__semigroup__mult @t106) (=> @t363 (=> (tptp.c_Fun_Oinj__on @t8 @t47 @t356 @t51) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4645 @t1) @t315) (tptp.hAPP @t357 @t51)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4644 (tptp.hAPP @t4600 @t356)) @t315) @t51))))))) % 6.51/6.71 (assume @p3447 (forall (@list @t61 @t2334 @t8 @t47) (= (= @t4640 @t983) (not (tptp.hBOOL (tptp.hAPP @t190 (tptp.hAPP @t4646 @t4638))))))) % 6.51/6.71 (assume @p3448 (forall @t4649 (=> @t4648 (=> @t363 (=> @t156 (= @t460 @t4647)))))) % 6.51/6.71 (assume @p3449 (forall (@list @t1 @t356 @t51 @t123 @t315 @t2 @t47 @t8) (=> @t4650 (=> @t517 (=> (tptp.c_Fun_Oinj__on @t47 @t47 @t356 @t51) (= (tptp.hAPP @t889 (tptp.hAPP (tptp.c_Set_Oimage @t47 @t47 @t356) @t51)) (tptp.hAPP (tptp.hAPP @t123 (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t8 @t47 @t1) @t356)) @t51))))))) % 6.51/6.71 (assume @p3450 (forall @t4654 (=> @t4648 (=> @t363 (=> @t452 (=> @t732 @t4653)))))) % 6.51/6.71 (assume @p3451 (forall (@list @t356 @t1 @t4655 @t2 @t106 @t4043 @t4042 @t123 @t2351 @t47 @t8) (=> (tptp.c_Finite__Set_Ofolding @t8 @t47 @t2351 @t123) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4042 @t4043 @t106 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t4655 @t4042 @t106 @t1) @t356)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4655 @t4043 @t106 (tptp.hAPP (tptp.c_Fun_Ocomp @t4042 @t4043 @t4655 @t2) @t1)) @t356))))) % 6.51/6.71 (assume @p3452 (forall (@list @t61 @t64 @t123 @t2 @t47 @t8) (=> @t4648 (= @t4580 @t4582)))) % 6.51/6.71 (assume @p3453 (forall (@list @t1 @t61 @t64 @t106 @t123 @t2 @t47 @t8) (=> @t4648 (= (tptp.hAPP @t4656 @t4658) (tptp.hAPP @t4657 (tptp.hAPP @t4656 @t1)))))) % 6.51/6.71 (assume @p3454 (forall (@list @t2 @t1 @t106 @t51 @t8 @t47) (= (tptp.hAPP @t1030 (tptp.hAPP (tptp.c_Fun_Ocomp @t106 @t55 @t47 @t1) @t2)) (tptp.hAPP @t1095 @t1)))) % 6.51/6.71 (assume @p3455 (forall (@list @t13 @t4522 @t2 @t106 @t1 @t8 @t47) (= (tptp.c_List_Ofoldr @t47 @t8 @t1 @t4659 @t13) (tptp.c_List_Ofoldr @t106 @t8 (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t769 @t106 @t1) @t2) @t4522 @t13)))) % 6.51/6.71 (assume @p3456 (forall (@list @t356 @t1 @t51 @t123 @t315 @t2 @t47 @t8) (=> @t4650 (=> @t517 (= (tptp.hAPP (tptp.hAPP @t123 (tptp.hAPP (tptp.hAPP @t840 @t771) @t356)) @t51) (tptp.hAPP (tptp.hAPP @t2 @t890) (tptp.hAPP (tptp.hAPP @t123 @t356) @t51))))))) % 6.51/6.71 (assume @p3457 (forall (@list @t61 @t1 @t2 @t4043 @t8 @t106 @t47) (= (tptp.hAPP (tptp.hAPP @t4040 (tptp.hAPP (tptp.c_Fun_Ocomp @t4043 @t779 @t47 @t2) @t1)) @t61) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t4201 @t61))) @t4184)))) % 6.51/6.71 (assume @p3458 (forall @t4649 (=> @t4648 (=> @t363 (= (tptp.hAPP @t4581 @t460) @t4660))))) % 6.51/6.71 (assume @p3459 (forall (@list @t1 @t61 @t106 @t51 @t123 @t2 @t47 @t8) (=> @t4648 (=> @t363 (= (tptp.hAPP @t4657 @t4662) (tptp.hAPP @t4661 @t4658)))))) % 6.51/6.71 (assume @p3460 (forall @t4654 (=> @t4648 (=> @t363 (=> @t452 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t47 @t47 @t466) @t460) @t4652)))))) % 6.51/6.71 (assume @p3461 (forall (@list @t1 @t106 @t77 @t51 @t123 @t2 @t47 @t8) (=> @t4648 (=> @t363 (=> @t452 (= (tptp.hAPP @t4663 @t4662) (tptp.hAPP @t4661 (tptp.hAPP @t4663 @t1)))))))) % 6.51/6.71 (assume @p3462 (forall (@list @t1660 @t51 @t123 @t2 @t47 @t8) (=> @t4648 (=> @t363 (= (tptp.hAPP @t460 @t1660) (tptp.hAPP (tptp.hAPP @t869 @t1660) @t51)))))) % 6.51/6.71 (assume @p3463 (forall @t894 (=> @t4650 @t892))) % 6.51/6.71 (assume @p3464 (forall @t4649 (=> @t4648 (=> @t363 (=> @t299 @t4664))))) % 6.51/6.71 (assume @p3465 (forall @t4654 (=> @t4648 (=> @t363 (=> @t452 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t47 @t47 @t468) @t883) @t4652)))))) % 6.51/6.71 (assume @p3466 (forall @t4649 (=> @t4648 (=> @t363 (= @t462 @t4647))))) % 6.51/6.71 (assume @p3467 (forall @t527 (=> (tptp.c_Hoare__Mirabelle_Ohoare__valids @t8 @t12 @t4668) (tptp.c_Hoare__Mirabelle_Ohoare__valids @t8 @t12 @t4666)))) % 6.51/6.71 (assume @p3468 (forall (@list @t116 @t135 @t18 @t109 @t136 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP @t4667 @t135)) @t11)) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t137 @t4665) @t116) @t135)) @t11)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP @t138 (tptp.c_Com_Ocom_OCond @t109 @t18 @t116)) @t135)) @t11)))))) % 6.51/6.71 (assume @p3469 (forall @t527 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t4668) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t4666)))) % 6.51/6.71 (assume @p3470 (forall (@list @t1660 @t3486 @t2866 @t136 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Opeek__and @t8 @t136 @t2866) @t3486) @t1660)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t3486) @t1660)) (tptp.hBOOL (tptp.hAPP @t2866 @t1660)))))) % 6.51/6.71 (assume @p3471 (forall (@list @t4669 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4672 (tptp.hAPP @t4671 @t4669))) (= (tptp.c_Map_Oran @t8 @t47 (tptp.hAPP @t2254 @t4669)) (tptp.hAPP @t4670 (tptp.hAPP @t4619 @t4669)))))) % 6.51/6.71 (assume @p3472 (forall @t4675 (=> @t4674 (= @t4622 (tptp.hAPP @t3908 (tptp.hAPP @t3907 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4237 @t48) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1545 (tptp.tc_fun @t4237 @t48) @t8) (tptp.c_COMBB @t693 tptp.tc_HOL_Obool @t47)) (tptp.hAPP @t1546 @t4624))) @t618))))))) % 6.51/6.71 (assume @p3473 (forall @t4680 (=> @t4679 (=> @t4678 @t4677)))) % 6.51/6.71 (assume @p3474 (forall @t4566 (= (tptp.hBOOL (tptp.hAPP @t4672 @t4531)) (and @t4682 (tptp.c_Fun_Oinj__on @t47 @t8 @t2 @t4564))))) % 6.51/6.71 (assume @p3475 (forall @t4626 (=> @t4674 (=> (tptp.hBOOL (tptp.hAPP @t4672 @t4683)) (= @t4625 (= @t4622 @t4620)))))) % 6.51/6.71 (assume @p3476 (forall (@list @t61 @t64 @t2334 @t47 @t8) (=> @t4679 (= (= @t691 @t4676) @t4678)))) % 6.51/6.71 (assume @p3477 (forall @t4680 (=> @t4679 (= @t4677 @t4678)))) % 6.51/6.71 (assume @p3478 (forall (@list @t47 @t356 @t2 @t392 @t8 @t106) (=> @t1614 (=> @t1596 (=> (forall @t7 (=> @t1366 (forall @t44 (=> (tptp.hBOOL (tptp.hAPP @t3500 @t392)) (=> (not @t4684) (=> @t4446 (= (tptp.hAPP @t356 @t5) (tptp.c_Groups_Ozero__class_Ozero @t106)))))))) (= (tptp.hAPP @t4604 (tptp.hAPP @t319 @t392)) (tptp.hAPP @t4603 @t392))))))) % 6.51/6.71 (assume @p3479 (forall @t2808 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1034 @t1190) (tptp.hAPP @t4686 (tptp.c_List_Oupto @t2726 @t4685))))) % 6.51/6.71 (assume @p3480 (forall (@list @t1653 @t61 @t690 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 (tptp.hAPP (tptp.hAPP @t3927 @t690) @t61)) (tptp.hAPP @t4619 @t1653))) (exists @t7 (= (tptp.hAPP @t2255 @t690) (tptp.hAPP @t618 @t3)))))) % 6.51/6.71 (assume @p3481 (forall @t1245 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t4687)))) % 6.51/6.71 (assume @p3482 (forall @t2808 (= @t3256 @t4689))) % 6.51/6.71 (assume @p3483 (forall @t2808 (= @t4689 @t3256))) % 6.51/6.71 (assume @p3484 (forall @t2808 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1034) @t1190) (tptp.hAPP @t4686 (tptp.c_List_Oupto @t1034 @t4685))))) % 6.51/6.71 (assume @p3485 (forall @t2808 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1034 @t1190) (tptp.hAPP @t4686 @t4690)))) % 6.51/6.71 (assume @p3486 (forall @t3820 (= (tptp.c_List_Onat__list @t1653) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t4686 @t1653))))) % 6.51/6.71 (assume @p3487 (forall @t4654 (=> @t4691 (=> @t363 (=> @t452 @t4653))))) % 6.51/6.71 (assume @p3488 (forall @t4654 (=> @t4691 (=> @t363 (=> @t171 (= @t4652 @t460)))))) % 6.51/6.71 (assume @p3489 (forall (@list @t1 @t61 @t106 @t123 @t2 @t47 @t8) (=> @t4691 (= (tptp.hAPP @t4657 @t4658) @t4658)))) % 6.51/6.71 (assume @p3490 (forall (@list @t61 @t123 @t2 @t47 @t8) (=> @t4691 @t4596))) % 6.51/6.71 (assume @p3491 (forall @t4649 (=> @t4691 (=> @t363 (=> @t156 (= @t4660 @t460)))))) % 6.51/6.71 (assume @p3492 (forall @t4649 (=> @t4691 (=> @t363 @t4664)))) % 6.51/6.71 (assume @p3493 (forall @t4697 (=> @t4696 (= @t4695 @t4693)))) % 6.51/6.71 (assume @p3494 (forall (@list @t2 @t47 @t4522 @t61 @t8) (and (=> @t4701 (= @t4700 (tptp.hAPP @t618 @t67))) (=> @t4702 (= @t4700 @t905))))) % 6.51/6.71 (assume @p3495 (forall @t4612 (=> @t4611 (=> @t4454 (=> @t4610 (=> (forall @t7 (=> @t234 (= @t4 (tptp.hAPP @t4602 @t3)))) @t4609)))))) % 6.51/6.71 (assume @p3496 (forall @t4709 (=> @t4708 (tptp.hBOOL (tptp.hAPP @t4707 @t4706))))) % 6.51/6.71 (assume @p3497 (forall @t4711 (=> @t4708 (tptp.hBOOL (tptp.hAPP @t4672 @t4710))))) % 6.51/6.71 (assume @p3498 (forall (@list @t4704 @t47 @t4703 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4672 @t4703)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4325) (tptp.hAPP (tptp.hAPP @t4712 @t4704) @t4703)))))) % 6.51/6.71 (assume @p3499 (forall @t4714 (= (tptp.c_List_Oremove1 @t8 @t132 (tptp.c_List_Oremove1 @t8 @t210 @t4713)) (tptp.c_List_Oremove1 @t8 @t210 (tptp.c_List_Oremove1 @t8 @t132 @t4713))))) % 6.51/6.71 (assume @p3500 (forall @t4715 (=> @t4702 (= @t4694 @t4522)))) % 6.51/6.71 (assume @p3501 (forall (@list @t64 @t4522 @t61 @t8) (=> @t4702 (not (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP @t4553 (tptp.c_List_Oremove1 @t8 @t64 @t4522)))))))) % 6.51/6.71 (assume @p3502 (forall (@list @t4522 @t8 @t109 @t13) (=> @t177 (= (tptp.hBOOL (tptp.hAPP @t175 (tptp.hAPP @t4553 (tptp.c_List_Oremove1 @t8 @t109 @t4522)))) @t4716)))) % 6.51/6.71 (assume @p3503 (forall @t4542 (= @t4718 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 @t4027) @t4391) @t4522)))) % 6.51/6.71 (assume @p3504 (forall @t4715 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4695) @t4554)))) % 6.51/6.71 (assume @p3505 (forall (@list @t4719 @t47 @t8) (= (tptp.hAPP (tptp.hAPP @t4698 @t4722) @t4721) @t4719))) % 6.51/6.71 (assume @p3506 (forall (@list @t4521 @t4522 @t1 @t4043 @t2 @t8 @t106 @t47) (= (tptp.hAPP @t4726 (tptp.hAPP (tptp.hAPP @t4725 (tptp.hAPP @t4724 @t4522)) @t4521)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4723 @t8) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4043 @t106 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3963 @t779 @t4043) (tptp.hAPP (tptp.c_COMBB @t3956 @t8 @t106) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t47 @t3963 @t4043) @t3958) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4043 @t106) @t4522) @t4521))))) % 6.51/6.71 (assume @p3507 (forall (@list @t4521 @t1 @t4043 @t4522 @t2 @t8 @t106 @t47) (= (tptp.hAPP @t4726 (tptp.hAPP (tptp.hAPP @t4725 @t4522) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4043 @t106) @t1) @t4521))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4729 @t8) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t47 @t4043 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4727 (tptp.tc_fun @t4043 @t8) @t47) (tptp.hAPP (tptp.c_COMBB @t3956 @t8 @t4043) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t4728 @t4727) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3963 (tptp.tc_fun @t4728 @t4727) @t47) (tptp.c_COMBB @t106 @t3956 @t4043)) @t3958)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t47 @t4043) @t4522) @t4521))))) % 6.51/6.71 (assume @p3508 (forall (@list @t4522 @t109 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t4399 (tptp.hAPP @t4730 @t4718))) (and @t4716 @t110)))) % 6.51/6.71 (assume @p3509 (forall @t4734 (=> @t4733 @t4701))) % 6.51/6.71 (assume @p3510 (forall @t4734 (=> @t4733 @t4735))) % 6.51/6.71 (assume @p3511 (forall @t4734 (=> @t4733 (not (=> @t4701 (not @t4735)))))) % 6.51/6.71 (assume @p3512 (forall (@list @t4521 @t1 @t4043 @t4522 @t2 @t106 @t47 @t8) (= (tptp.hAPP @t4741 (tptp.hAPP @t4724 @t4521)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4739 @t1469) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t106 @t4043 @t1469) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t106 @t4738 @t4737) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3934 (tptp.tc_fun @t4738 @t4737) @t106) (tptp.c_COMBB @t47 @t1469 @t4043)) @t4736)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t106 @t4043) @t4522) @t4521))))) % 6.51/6.71 (assume @p3513 (forall (@list @t4521 @t4522 @t2 @t106 @t47 @t8) (= (tptp.hAPP @t4741 @t4521) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4742 @t1469) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t106 @t47 @t1469) @t4736)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t106 @t47) @t4522) @t4521))))) % 6.51/6.71 (assume @p3514 (forall (@list @t4521 @t2 @t106 @t4522 @t47 @t8) (= (tptp.hAPP @t4699 (tptp.hAPP @t4571 @t4521)) (tptp.hAPP @t4558 (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t8 @t106) @t4522) @t4521))))) % 6.51/6.71 (assume @p3515 (forall @t336 (=> @t214 (=> @t363 (= @t4744 (tptp.c_List_Oremove1 @t8 @t61 @t4743)))))) % 6.51/6.71 (assume @p3516 (forall (@list @t315 @t64 @t61 @t4719 @t4522 @t47 @t4521 @t8) (=> @t4755 (=> @t4753 (=> (not (tptp.hBOOL (tptp.hAPP @t190 @t4564))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t688 @t4747) @t61) @t66) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t688 @t4746) @t61) @t4749)) @t4748)))))) % 6.51/6.71 (assume @p3517 (forall @t4760 (=> (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t4759) @t4758))) % 6.51/6.71 (assume @p3518 (forall (@list @t4703 @t4704 @t47 @t8) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t4764) @t4706) (tptp.hAPP @t4763 @t4761)))) % 6.51/6.71 (assume @p3519 (forall @t4767 (=> (not (= @t4762 @t4766)) (not @t4765)))) % 6.51/6.71 (assume @p3520 (forall (@list @t4521 @t1 @t106 @t4522 @t2 @t8 @t47) (=> (= @t4531 (tptp.hAPP (tptp.hAPP @t4576 @t1) @t4521)) (= @t4751 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t4572) @t4521))))) % 6.51/6.71 (assume @p3521 (forall @t4566 (= (tptp.hAPP @t4752 @t4531) @t4751))) % 6.51/6.71 (assume @p3522 (forall @t4711 (=> @t4708 (tptp.hBOOL (tptp.hAPP @t4672 @t4769))))) % 6.51/6.71 (assume @p3523 (forall @t4542 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t4771) @t4770)))) % 6.51/6.71 (assume @p3524 (forall @t4715 (=> @t4702 (= @t4757 @t4522)))) % 6.51/6.71 (assume @p3525 (forall @t4542 (=> @t4772 @t4696))) % 6.51/6.71 (assume @p3526 (forall @t4542 (=> @t4696 @t4772))) % 6.51/6.71 (assume @p3527 (forall (@list @t4719 @t4522 @t47 @t4521 @t8) (=> @t4755 (=> @t4753 (=> @t4682 (=> @t4748 @t4773)))))) % 6.51/6.71 (assume @p3528 (forall @t4776 (=> @t4775 (= (tptp.hAPP @t4671 @t4731) @t4522)))) % 6.51/6.71 (assume @p3529 (forall @t4776 (=> @t4775 (= (tptp.hAPP @t4720 @t4731) @t4521)))) % 6.51/6.71 (assume @p3530 (forall @t4711 (=> @t4708 (= @t4710 @t4769)))) % 6.51/6.71 (assume @p3531 (forall @t4715 (=> @t4701 @t4777))) % 6.51/6.71 (assume @p3532 (forall (@list @t4719 @t4521 @t47 @t4522 @t8) (=> @t4775 (= (= @t4731 @t4719) (and (= @t4722 @t4522) (= @t4721 @t4521)))))) % 6.51/6.71 (assume @p3533 (forall @t4760 (=> @t4465 @t4758))) % 6.51/6.71 (assume @p3534 (forall @t4792 (=> @t363 (tptp.hBOOL (tptp.hAPP @t4598 (tptp.hAPP @t4791 (tptp.hAPP @t4790 @t4782))))))) % 6.51/6.71 (assume @p3535 (forall @t4795 (=> @t4775 (= (= @t4794 @t905) @t4702)))) % 6.51/6.71 (assume @p3536 (forall @t4795 (=> @t4775 (= @t4701 (exists @t44 (= @t4794 @t4796)))))) % 6.51/6.71 (assume @p3537 (forall @t4715 (and (=> @t4701 (= @t4797 (tptp.hAPP (tptp.hAPP @t864 @t4770) @t1615))) (=> @t4702 (= @t4797 @t4770))))) % 6.51/6.71 (assume @p3538 (forall @t4776 (=> @t4775 (=> @t4696 (= (tptp.c_Map_Odom @t8 @t47 @t4793) @t4554))))) % 6.51/6.71 (assume @p3539 (forall @t4792 (=> @t363 (tptp.hBOOL (tptp.hAPP @t4598 (tptp.hAPP @t4791 (tptp.hAPP @t4790 (tptp.hAPP (tptp.hAPP @t4780 (tptp.hAPP (tptp.hAPP @t4778 @t1184) @t4752)) @t692)))))))) % 6.51/6.71 (assume @p3540 (forall @t4715 (= (tptp.hAPP @t4553 @t4757) @t4693))) % 6.51/6.71 (assume @p3541 (forall @t4802 (= (tptp.hAPP @t4752 @t4801) (tptp.hAPP @t2325 (tptp.hAPP @t1426 @t4800))))) % 6.51/6.71 (assume @p3542 (forall @t4626 (= @t4732 (tptp.hAPP @t3908 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1623 tptp.tc_HOL_Obool @t1469) @t4810) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1469 @t1623 @t1623) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4809 @t4188 @t1469) @t1642) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1623 @t4809 @t1469) @t1641) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1469 @t4808 @t1623) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1470 (tptp.tc_fun @t4808 @t1623) @t1469) (tptp.c_COMBB @t1469 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t47 @t1469) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t3934 tptp.tc_Nat_Onat) @t3927) @t4807)) @t4805))))) (tptp.hAPP @t1425 @t4803))))))) % 6.51/6.71 (assume @p3543 (forall @t336 (=> @t214 (=> @t363 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t98) (tptp.hAPP @t4812 @t4744)))))) % 6.51/6.71 (assume @p3544 (forall (@list @t4703 @t47 @t4704 @t8 @t1165) (=> @t4815 (=> (tptp.hBOOL (tptp.hAPP @t1248 @t4761)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t1469) @t4706) @t1165) (tptp.hAPP (tptp.hAPP @t3927 @t4814) (tptp.hAPP (tptp.hAPP @t4804 @t4703) @t1165))))))) % 6.51/6.71 (assume @p3545 (forall @t4820 (= @t4523 (and @t4819 (forall @t2737 (=> @t4818 (= @t4817 (tptp.hAPP @t4816 @t2734)))))))) % 6.51/6.71 (assume @p3546 (forall @t4802 (=> @t4696 (tptp.hBOOL (tptp.hAPP @t4672 @t4801))))) % 6.51/6.71 (assume @p3547 (forall (@list @t4522 @t64 @t61 @t8) (=> @t214 (= (tptp.hAPP @t4812 (tptp.hAPP @t4822 @t4522)) (tptp.hAPP @t4822 @t4821))))) % 6.51/6.71 (assume @p3548 (forall @t365 (=> @t214 (tptp.c_Finite__Set_Ofun__left__comm @t8 @t4514 @t4811)))) % 6.51/6.71 (assume @p3549 (forall (@list @t4522 @t47 @t64 @t61 @t2 @t8) (=> @t214 (=> @t4458 (= (tptp.hAPP @t4824 @t4826) (tptp.hAPP @t4825 (tptp.hAPP @t4824 @t4522))))))) % 6.51/6.71 (assume @p3550 (forall @t4715 (=> @t214 (= (tptp.c_List_Oremove1 @t8 @t61 @t4821) @t4522)))) % 6.51/6.71 (assume @p3551 (forall @t4831 (=> @t4830 (= (tptp.hAPP @t4553 @t4829) @t4759)))) % 6.51/6.71 (assume @p3552 (forall @t4831 (=> @t4830 (= (tptp.hAPP @t4752 @t4829) @t4832)))) % 6.51/6.71 (assume @p3553 (forall @t4839 (= @t4838 @t4836))) % 6.51/6.71 (assume @p3554 (forall (@list @t2 @t47 @t4522 @t8 @t692) (=> @t4841 (= (tptp.hAPP (tptp.hAPP @t4804 @t4525) @t692) (tptp.hAPP @t2 @t4840))))) % 6.51/6.71 (assume @p3555 (forall @t4846 (=> @t4696 (=> @t4845 (=> (tptp.hBOOL (tptp.hAPP @t4844 @t4770)) (= (= @t4843 @t4842) (= @t1034 @t1190))))))) % 6.51/6.71 (assume @p3556 (forall @t4542 (= @t4696 (forall @t2737 (=> @t4818 (forall @t2250 (=> @t4848 (=> (not (= @t2734 @t2248)) (not (= @t4817 @t4847)))))))))) % 6.51/6.71 (assume @p3557 (forall @t4802 (= @t4853 (tptp.hAPP @t1389 (tptp.hAPP @t4852 (tptp.hAPP @t4851 @t4800)))))) % 6.51/6.71 (assume @p3558 (forall @t4855 (=> @t4854 @t4701))) % 6.51/6.71 (assume @p3559 (forall @t4855 (=> @t4702 (not @t4854)))) % 6.51/6.71 (assume @p3560 (forall @t4802 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4853) @t4554)))) % 6.51/6.71 (assume @p3561 (forall (@list @t4522 @t8 @t692) (=> @t4841 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t4840) @t4554))))) % 6.51/6.71 (assume @p3562 (forall @t4715 (= @t4701 (exists @t2737 (and @t4818 (= @t4817 @t61)))))) % 6.51/6.71 (assume @p3563 (forall @t4831 (=> @t4830 (= (tptp.hBOOL (tptp.hAPP @t4672 @t4829)) @t4856)))) % 6.51/6.71 (assume @p3564 (forall @t4542 (= @t4554 (tptp.hAPP @t1389 (tptp.hAPP @t4852 (tptp.hAPP @t4851 @t4798)))))) % 6.51/6.71 (assume @p3565 (forall @t4859 (=> @t214 (=> (not @t4858) (= @t4857 @t4826))))) % 6.51/6.71 (assume @p3566 (forall (@list @t1034 @t13 @t4522 @t8) (=> @t4696 (=> (not (tptp.hBOOL (tptp.hAPP @t175 (tptp.hAPP @t4692 (tptp.hAPP (tptp.hAPP @t81 @t4843) @t56))))) (tptp.hBOOL (tptp.hAPP @t4672 (tptp.hAPP @t4861 @t13))))))) % 6.51/6.71 (assume @p3567 (forall @t4865 (= (tptp.hAPP @t4752 @t4864) @t4762))) % 6.51/6.71 (assume @p3568 (forall @t4866 (= (tptp.hAPP @t4863 @t4814) @t4704))) % 6.51/6.71 (assume @p3569 (forall (@list @t132 @t4704 @t8 @t1162 @t1165) @t4871)) % 6.51/6.71 (assume @p3570 (forall (@list @t4872 @t1165 @t4703 @t4704 @t47 @t8) (= (tptp.hAPP @t4874 @t4872) (tptp.hAPP (tptp.hAPP @t4698 (tptp.hAPP @t4863 (tptp.hAPP @t4194 @t4872))) (tptp.hAPP @t4873 (tptp.hAPP @t4192 @t4872)))))) % 6.51/6.71 (assume @p3571 (forall (@list @t210 @t4703 @t132 @t1165 @t4704 @t47 @t8) (= (tptp.hAPP (tptp.hAPP @t4698 @t4864) (tptp.hAPP @t4873 @t210)) (tptp.hAPP @t4874 @t4199)))) % 6.51/6.71 (assume @p3572 (forall (@list @t4875 @t132 @t4704 @t8 @t4876 @t1165) (=> (not (= @t1165 @t4876)) (= (tptp.hAPP (tptp.hAPP @t4877 @t4876) @t4875) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 (tptp.hAPP (tptp.hAPP @t4862 @t4876) @t4875)) @t1165) @t132))))) % 6.51/6.71 (assume @p3573 (forall (@list @t210 @t132 @t1165 @t4704 @t8) (= (tptp.hAPP (tptp.hAPP @t4877 @t1165) @t210) @t4878))) % 6.51/6.71 (assume @p3574 (forall (@list @t64 @t690 @t4522 @t2 @t8 @t47) (= (tptp.hAPP @t4529 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t47 @t4522) @t690) @t64)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t4531) @t690) @t927)))) % 6.51/6.71 (assume @p3575 (forall @t4865 (=> (tptp.hBOOL (tptp.hAPP @t4879 @t1165)) (= @t4864 @t4704)))) % 6.51/6.71 (assume @p3576 (forall (@list @t61 @t2 @t4522 @t8 @t47) (=> @t4830 (=> @t4696 (tptp.hBOOL (tptp.hAPP @t4672 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t8 @t47 @t2 @t61 @t4522))))))) % 6.51/6.71 (assume @p3577 (forall (@list @t1034 @t61 @t51 @t4522 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4882 @t51)) (=> @t156 (tptp.hBOOL (tptp.hAPP @t4881 @t51)))))) % 6.51/6.71 (assume @p3578 (forall (@list @t61 @t1034 @t4522 @t8) (tptp.hBOOL (tptp.hAPP @t4881 @t4759)))) % 6.51/6.71 (assume @p3579 (forall (@list @t132 @t1162 @t4704 @t8 @t1165) (=> @t4815 (and (=> @t4870 (= @t4869 @t132)) @t4871)))) % 6.51/6.71 (assume @p3580 (forall (@list @t61 @t4522 @t8 @t1034) (=> @t4845 (= (= @t4880 @t4522) (= @t4843 @t61))))) % 6.51/6.71 (assume @p3581 (forall (@list @t132 @t4704 @t8 @t1165) (=> @t4815 (= (tptp.hAPP @t4868 @t1165) @t132)))) % 6.51/6.71 (assume @p3582 (forall (@list @t61 @t4522 @t8 @t692) (=> @t4841 (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP @t4553 (tptp.hAPP (tptp.hAPP @t4860 @t692) @t61))))))) % 6.51/6.71 (assume @p3583 (forall @t4715 (=> @t214 (=> @t4701 (= @t4883 @t4522))))) % 6.51/6.71 (assume @p3584 (forall @t4715 (=> @t214 (= (tptp.hAPP @t4553 @t4883) @t4759)))) % 6.51/6.71 (assume @p3585 (forall @t4859 (=> @t214 (=> @t4858 (= @t4857 @t4522))))) % 6.51/6.71 (assume @p3586 (forall @t4715 (=> @t214 (=> @t4702 (= @t4883 @t4821))))) % 6.51/6.71 (assume @p3587 (forall @t4542 (=> @t784 (= @t4885 (tptp.hAPP (tptp.hAPP @t2398 @t4807) (tptp.hAPP @t2798 @t4770)))))) % 6.51/6.71 (assume @p3588 (forall (@list @t337 @t283 @t4521 @t47 @t4522 @t8) (=> @t4775 (=> (tptp.hBOOL (tptp.hAPP @t4882 @t283)) (= (tptp.c_Map_Orestrict__map @t8 @t47 @t4886 @t283) (tptp.c_Map_Omap__upds @t8 @t47 (tptp.c_Map_Orestrict__map @t8 @t47 @t337 (tptp.hAPP @t735 @t4554)) @t4522 @t4521)))))) % 6.51/6.71 (assume @p3589 (forall (@list @t4521 @t4522 @t1477 @t1478 @t47 @t8) (= (tptp.c_Map_Omap__add @t8 @t47 @t1478 (tptp.c_Map_Omap__upds @t8 @t47 @t1477 @t4522 @t4521)) (tptp.c_Map_Omap__upds @t8 @t47 @t1479 @t4522 @t4521)))) % 6.51/6.71 (assume @p3590 (forall (@list @t4887) (= (= (tptp.hAPP @t4891 @t4887) @t2094) @t4890))) % 6.51/6.71 (assume @p3591 (forall (@list @t4892 @t1161) (=> @t4898 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t4895) @t4893))))) % 6.51/6.71 (assume @p3592 (forall (@list @t4521 @t2 @t47 @t4522 @t61 @t8) (=> @t4702 (= (tptp.hAPP @t4899 @t61) @t67)))) % 6.51/6.71 (assume @p3593 (forall @t4675 (=> @t2121 (= (tptp.hAPP @t4884 (tptp.hAPP (tptp.hAPP @t4528 @t2165) @t4522)) @t2105)))) % 6.51/6.71 (assume @p3594 (forall @t4902 (=> @t784 (= (tptp.hAPP @t4884 (tptp.hAPP (tptp.hAPP @t4528 @t989) @t4522)) (tptp.hAPP (tptp.hAPP @t928 @t4901) @t4900))))) % 6.51/6.71 (assume @p3595 (forall (@list @t4522 @t2 @t18 @t47 @t8) (=> @t1830 (= (tptp.hAPP @t4884 (tptp.hAPP (tptp.hAPP @t4528 (tptp.hAPP (tptp.hAPP @t1351 @t2227) @t2)) @t4522)) (tptp.hAPP @t2227 @t4901))))) % 6.51/6.71 (assume @p3596 (forall (@list @t4522 @t18 @t2 @t47 @t8) (=> @t1830 (= (tptp.hAPP @t4884 (tptp.hAPP (tptp.hAPP @t4528 (tptp.hAPP @t1833 @t18)) @t4522)) (tptp.hAPP (tptp.hAPP @t1725 @t4901) @t18))))) % 6.51/6.71 (assume @p3597 (forall @t4902 (=> @t708 (= (tptp.hAPP @t4884 (tptp.hAPP (tptp.hAPP @t4528 @t841) @t4522)) (tptp.hAPP (tptp.hAPP @t557 @t4901) @t4900))))) % 6.51/6.71 (assume @p3598 (forall (@list @t1153 @t4892 @t1161) (=> @t4898 (= (tptp.hAPP @t4891 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t4892) @t1161) @t1153)) (tptp.hAPP (tptp.hAPP @t864 (tptp.hAPP (tptp.hAPP @t1000 @t4893) @t1153)) @t4895))))) % 6.51/6.71 (assume @p3599 (forall @t4542 (=> @t3441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t3438 @t4885)) (tptp.hAPP @t4884 (tptp.hAPP (tptp.hAPP @t4540 @t3438) @t4522))))))) % 6.51/6.71 (assume @p3600 (forall @t4566 (=> @t708 (= (tptp.hAPP @t1312 @t4901) (tptp.hAPP @t4884 (tptp.hAPP (tptp.hAPP @t4528 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t47 @t1312) @t2)) @t4522)))))) % 6.51/6.71 (assume @p3601 (forall @t4542 (=> @t784 (=> @t4696 (= @t4885 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t8) @t145) @t4554)))))) % 6.51/6.71 (assume @p3602 (forall (@list @t2 @t4522 @t8 @t47) (=> @t910 (=> @t4696 (= @t4904 (tptp.hAPP @t720 @t4554)))))) % 6.51/6.71 (assume @p3603 (forall (@list @t1190 @t1034 @t2 @t8) (=> @t784 (= (tptp.hAPP @t3191 @t4689) (tptp.hAPP @t4884 (tptp.hAPP @t4905 @t4688)))))) % 6.51/6.71 (assume @p3604 (forall (@list @t1653 @t690 @t2 @t8) (=> @t784 (= (tptp.hAPP @t4884 (tptp.hAPP @t4905 @t4906)) (tptp.hAPP @t3191 (tptp.hAPP @t4686 @t4906)))))) % 6.51/6.71 (assume @p3605 (forall (@list @t64 @t337 @t4521 @t47 @t1034 @t4522 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4909 @t1034)) (=> @t4908 (= (tptp.c_Map_Omap__upds @t8 @t47 @t337 @t4522 @t4907) @t4886))))) % 6.51/6.71 (assume @p3606 (forall (@list @t4522 @t1449 @t47 @t8) (=> @t2496 (= (tptp.hAPP @t4884 (tptp.hAPP (tptp.hAPP @t4528 (tptp.hAPP @t2162 @t1449)) @t4522)) (tptp.hAPP (tptp.hAPP @t1725 (tptp.hAPP @t2407 @t4751)) @t1449))))) % 6.51/6.71 (assume @p3607 (forall (@list @t4911 @t109 @t337 @t47 @t4912 @t13 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t175 @t4914))) (= @t4913 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 (tptp.c_Map_Omap__upds @t8 @t47 @t337 @t4912 @t4911)) @t13) @t4910))))) % 6.51/6.71 (assume @p3608 (forall (@list @t2 @t4522 @t61 @t8 @t47) (=> @t910 (=> @t4701 (= @t4904 (tptp.hAPP (tptp.hAPP @t912 @t67) (tptp.hAPP @t4903 (tptp.hAPP @t4518 @t4694)))))))) % 6.51/6.71 (assume @p3609 (forall @t904 (=> @t910 (and (=> @t363 (= @t4915 (tptp.hAPP @t4903 (tptp.hAPP @t4518 @t4916)))) (=> @t2093 (= @t4915 @t2107)))))) % 6.51/6.71 (assume @p3610 (forall (@list @t1 @t2 @t4522 @t8 @t47) (=> (and @t4917 @t2383) (=> (forall @t7 (=> @t4837 @t202)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t201 @t4904) (tptp.hAPP @t4903 (tptp.hAPP (tptp.hAPP @t4517 @t1) @t4522)))))))) % 6.51/6.71 (assume @p3611 (forall (@list @t8 @t18 @t136) (=> @t3096 (=> (= @t18 @t4918) (tptp.hBOOL (tptp.hAPP @t136 @t18)))))) % 6.51/6.71 (assume @p3612 (forall (@list @t8 @t61 @t136) (=> @t426 @t4919))) % 6.51/6.71 (assume @p3613 (forall (@list @t8 @t4920) (=> (exists @t7 (tptp.hBOOL (tptp.hAPP @t4920 @t3))) (tptp.hBOOL (tptp.hAPP @t4920 (tptp.c_Hilbert__Choice_OEps @t8 @t4920)))))) % 6.51/6.71 (assume @p3614 (forall @t130 (= (tptp.c_Hilbert__Choice_OEps @t8 @t523) @t61))) % 6.51/6.71 (assume @p3615 (forall @t130 (= (tptp.c_Hilbert__Choice_OEps @t8 @t4921) @t61))) % 6.51/6.71 (assume @p3616 (forall @t4922 (= @t4919 @t3096))) % 6.51/6.71 (assume @p3617 (forall @t4922 (=> @t3096 @t4919))) % 6.51/6.71 (assume @p3618 (forall @t199 (and (=> @t363 (= @t4923 (tptp.hAPP @t4752 @t4916))) (=> @t2093 (= @t4923 @t2094))))) % 6.51/6.71 (assume @p3619 (forall (@list @t61 @t136 @t4522 @t8) (=> @t4836 (=> @t4701 @t426)))) % 6.51/6.71 (assume @p3620 (forall @t3948 (= (tptp.c_Hilbert__Choice_OEps @t1469 @t4045) @t3929))) % 6.51/6.71 (assume @p3621 (forall @t4048 (= (tptp.c_Hilbert__Choice_OEps @t1469 @t136) (tptp.c_Hilbert__Choice_OEps @t1469 @t4047)))) % 6.51/6.71 (assume @p3622 (forall @t4048 (= (tptp.c_Hilbert__Choice_OEps @t1469 @t4205) (tptp.c_Hilbert__Choice_OEps @t1469 @t4204)))) % 6.51/6.71 (assume @p3623 (forall @t4925 (= @t4924 (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t4891 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 tptp.tc_Nat_Onat) @t2) @t4522))) @t4770)))) % 6.51/6.71 (assume @p3624 (forall (@list @t64 @t2 @t4522 @t4521 @t47 @t61 @t8) (and (=> @t4929 (= @t4926 @t4899)) (=> (not @t4929) (= @t4926 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 @t4899) @t61) @t691)))))) % 6.51/6.71 (assume @p3625 (forall @t4933 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t1469) @t1153) @t4706) (tptp.hAPP (tptp.hAPP @t4698 @t4932) (tptp.hAPP (tptp.hAPP @t4930 @t1153) @t4703))))) % 6.51/6.71 (assume @p3626 (forall @t4935 (= (tptp.hAPP @t4931 @t4934) (tptp.hAPP (tptp.hAPP @t4927 (tptp.hAPP @t2164 @t1152)) @t4704)))) % 6.51/6.71 (assume @p3627 (forall @t4866 (=> @t4708 (tptp.hBOOL (tptp.hAPP @t4672 @t4937))))) % 6.51/6.71 (assume @p3628 (forall (@list @t4704 @t8 @t1153 @t1165) (=> @t4938 (= (tptp.hAPP (tptp.hAPP @t4806 @t4932) @t1165) @t4814)))) % 6.51/6.71 (assume @p3629 (forall @t4939 (= (tptp.hAPP @t4752 @t4932) (tptp.hAPP @t4763 @t1153)))) % 6.51/6.71 (assume @p3630 (forall (@list @t4522 @t1 @t47 @t2 @t8) (= (tptp.c_List_Olist_Olist__size @t8 @t2 @t4567) (tptp.c_List_Olist_Olist__size @t47 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_Nat_Onat @t47 @t2) @t1) @t4522)))) % 6.51/6.71 (assume @p3631 (forall @t4942 (= (tptp.hAPP @t4941 @t4531) (tptp.hAPP @t4529 (tptp.hAPP @t4940 @t4522))))) % 6.51/6.71 (assume @p3632 (forall @t4945 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4944) @t4554)))) % 6.51/6.71 (assume @p3633 (forall @t4946 (=> (tptp.hBOOL (tptp.hAPP @t155 @t4944)) @t4701))) % 6.51/6.71 (assume @p3634 (forall @t4948 (=> @t4947 (= @t4932 @t4704)))) % 6.51/6.71 (assume @p3635 (forall (@list @t692 @t1653 @t8) (= (tptp.c_List_Osublist @t8 @t1653 @t2375) (tptp.hAPP @t4941 @t1653)))) % 6.51/6.71 (assume @p3636 (forall (@list @t4522 @t8 @t692 @t337) (=> @t1208 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t4553 (tptp.hAPP (tptp.hAPP @t4927 @t337) @t4522))) @t4944))))) % 6.51/6.71 (assume @p3637 (forall @t4949 (= (tptp.c_Map_Odom @t8 @t47 @t4886) (tptp.hAPP (tptp.hAPP @t193 @t4928) @t786)))) % 6.51/6.71 (assume @p3638 (forall @t4951 (=> @t4701 (=> (tptp.hBOOL (tptp.hAPP @t4950 @t67)) (tptp.hBOOL (tptp.hAPP @t4950 @t4924)))))) % 6.51/6.71 (assume @p3639 (forall @t4951 (=> @t4701 (=> (tptp.hBOOL (tptp.hAPP @t2643 @t67)) (tptp.hBOOL (tptp.hAPP @t2643 @t4924)))))) % 6.51/6.71 (assume @p3640 (forall @t4962 (= @t4961 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t4954) @t4953)) (= (tptp.hAPP (tptp.hAPP @t4927 @t4954) @t64) @t61)) (exists @t2737 (and (tptp.hBOOL (tptp.hAPP @t3477 (tptp.hAPP (tptp.hAPP @t1983 @t4954) @t4953))) (= (tptp.hAPP @t4952 @t61) (tptp.hAPP @t4952 @t64)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP (tptp.hAPP @t4073 (tptp.hAPP (tptp.hAPP @t4806 @t61) @t2734)) (tptp.hAPP (tptp.hAPP @t4806 @t64) @t2734))) @t1449)))))))) % 6.51/6.71 (assume @p3641 (forall (@list @t1 @t2 @t4522 @t8) (=> (forall @t7 (=> @t4837 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t4924) (tptp.c_List_Olist_Olist__size @t8 @t1 @t4522)))))) % 6.51/6.71 (assume @p3642 (forall @t4971 (= @t4970 (and @t4819 (forall @t2458 (=> @t4966 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t4964 (tptp.hAPP @t4816 @t1714))) @t1449)))))))) % 6.51/6.71 (assume @p3643 (forall @t4962 (= (tptp.hBOOL (tptp.hAPP @t4960 @t4973)) (and @t4961 @t4972)))) % 6.51/6.71 (assume @p3644 (forall @t4385 (=> @t4384 (tptp.hBOOL (tptp.hAPP @t4976 (tptp.c_List_Olistrel @t8 @t1660)))))) % 6.51/6.71 (assume @p3645 (forall @t4971 (=> @t4970 @t4819))) % 6.51/6.71 (assume @p3646 (forall @t3846 (= @t4992 (tptp.hAPP @t4991 (tptp.hAPP @t4990 (tptp.hAPP (tptp.hAPP @t4989 (tptp.hAPP @t4988 (tptp.hAPP (tptp.hAPP @t4986 (tptp.hAPP @t4787 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t4983 (tptp.hAPP @t4982 (tptp.hAPP (tptp.hAPP @t4778 @t1199) @t4752))) @t4752)))) (tptp.hAPP (tptp.hAPP @t4989 (tptp.hAPP @t4988 (tptp.hAPP (tptp.hAPP @t4986 @t4788) @t4984))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4514 @t4974 @t4515) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4978 (tptp.tc_fun @t4974 @t4515) @t4514) (tptp.c_COMBC @t4514 @t4974 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4979 @t4978 @t4514) (tptp.hAPP (tptp.c_COMBB @t4958 @t4977 @t4514) @t4959)) @t4956))) @t4973)))))))) % 6.51/6.71 (assume @p3647 (forall @t3846 (= @t4992 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4993 @t4514) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t4514 tptp.c_Wellfounded_Oless__than @t4973)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4514 @t4514 @t4993) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t4514 @t4993) @t4514) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t4514)) @t4752)) (tptp.c_COMBI @t4514)))))) % 6.51/6.71 (assume @p3648 (forall (@list @t990 @t61 @t1449 @t8) (= (tptp.c_List_Olistrelp @t8 @t4561 @t61 @t990) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t4957 @t990)) @t4967))))) % 6.51/6.71 (assume @p3649 (forall @t4971 (= @t4970 (and @t4819 (forall @t7 (=> @t4995 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4336 @t4561) @t3)))))))) % 6.51/6.71 (assume @p3650 (forall (@list @t136 @t8 @t3) (=> (tptp.hBOOL (tptp.hAPP @t232 @t56)) @t231))) % 6.51/6.71 (assume @p3651 (forall @t365 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t8)))) % 6.51/6.71 (assume @p3652 (forall @t174 (= (tptp.hBOOL (tptp.hAPP @t1664 @t77)) (forall @t7 (=> @t233 @t4996))))) % 6.51/6.71 (assume @p3653 (forall (@list @t136 @t51 @t47 @t8) (= (tptp.hAPP @t1389 (tptp.hAPP @t4998 (tptp.hAPP @t4997 @t136))) (tptp.hAPP @t1416 (tptp.hAPP @t1600 (tptp.hAPP @t1598 @t136)))))) % 6.51/6.71 (assume @p3654 (forall (@list @t2 @t1449 @t47 @t8) (= @t4442 (forall @t7 (=> @t4999 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4336 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t203 @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t48 @t1686 @t8) @t1685) @t2091)) @t2)) @t3))))))) % 6.51/6.71 (assume @p3655 (forall @t1078 (= @t1417 (tptp.hAPP @t1389 (tptp.hAPP @t4998 (tptp.hAPP @t4997 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1060 @t48) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1336 (tptp.tc_fun @t1060 @t48) @t8) @t1687) @t154)) @t77))))))) % 6.51/6.71 (assume @p3656 (forall @t199 (=> @t1129 (= @t1925 (tptp.c_Complete__Lattice_OSup__class_OSup @t8 (tptp.hAPP @t1389 (tptp.hAPP @t5001 (tptp.hAPP @t5000 @t158)))))))) % 6.51/6.71 (assume @p3657 (forall @t199 (=> @t1129 (= @t1285 (tptp.c_Complete__Lattice_OInf__class_OInf @t8 (tptp.hAPP @t1389 (tptp.hAPP @t5001 (tptp.hAPP @t5000 @t2029)))))))) % 6.51/6.71 (assume @p3658 (forall @t4820 (= @t4523 (and @t4819 (forall @t7 (=> @t4995 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4336 tptp.c_fequal) @t3)))))))) % 6.51/6.71 (assume @p3659 (= tptp.c_Com_OWT__bodies (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t5002) @t3) (tptp.hAPP (tptp.c_List_Oset @t5002) tptp.c_Com_Obodies))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Com_Opname tptp.tc_Com_Ocom tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun tptp.tc_Com_Ocom tptp.tc_HOL_Obool) tptp.tc_Com_Opname) tptp.c_Com_OWT)) @t3)))))) % 6.51/6.71 (assume @p3660 (forall (@list @t692 @t1449 @t4521 @t4522 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4969 @t5005)) (and (= @t4770 @t692) @t5003)))) % 6.51/6.71 (assume @p3661 (forall @t4397 (= @t5007 (and (forall @t7 (=> @t4999 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4336 (tptp.hAPP @t1674 @t1512)) @t3)))) @t5006)))) % 6.51/6.71 (assume @p3662 (forall @t199 (tptp.c_Relation_Orefl__on @t8 @t51 @t4392))) % 6.51/6.71 (assume @p3663 (forall (@list @t692 @t27 @t8) (=> (forall @t7 (=> @t5009 (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t1780 @t3))) (forall @t7 (=> @t5009 (tptp.c_Hoare__Mirabelle_Otriple__valid @t8 @t692 @t3)))))) % 6.51/6.71 (assume @p3664 (forall @t3846 (= (tptp.hAPP @t5004 @t2094) (tptp.c_Orderings_Obot__class_Obot @t4974)))) % 6.51/6.71 (assume @p3665 (forall @t365 (tptp.c_Relation_Orefl__on @t8 @t56 @t4030))) % 6.51/6.71 (assume @p3666 (forall @t400 (= @t399 (forall @t2458 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5008 @t12)) @t5010)) (forall @t7 (=> @t5009 @t5010))))))) % 6.51/6.71 (assume @p3667 (forall @t5012 (=> @t5007 (=> @t5011 (tptp.c_Relation_Orefl__on @t8 @t195 @t4388))))) % 6.51/6.71 (assume @p3668 (forall @t5012 (=> @t5007 (=> @t5011 (tptp.c_Relation_Orefl__on @t8 @t731 (tptp.hAPP @t5014 @t1660)))))) % 6.51/6.71 (assume @p3669 (forall @t199 (= @t1994 (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1336 tptp.tc_HOL_Obool @t8) (tptp.c_HOL_OAll @t55)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1336 @t1336 @t8) (tptp.hAPP @t3324 (tptp.hAPP (tptp.hAPP @t3321 tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t55 @t1336 tptp.tc_HOL_Obool) @t1295) @t51)))) @t154)))))) % 6.51/6.71 (assume @p3670 (forall @t4409 (=> @t5007 (=> @t176 @t5016)))) % 6.51/6.71 (assume @p3671 (forall @t4419 (=> @t5007 (=> @t4414 @t248)))) % 6.51/6.71 (assume @p3672 (forall @t4419 (=> @t5007 (=> @t4414 @t156)))) % 6.51/6.71 (assume @p3673 (forall @t3846 (= @t4973 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t4974) @t1624) @t5004)))) % 6.51/6.71 (assume @p3674 (forall @t3846 (= @t5018 (tptp.c_Relation_Orefl__on @t8 @t1407 @t5017)))) % 6.51/6.71 (assume @p3675 (forall @t5021 (=> (tptp.hBOOL (tptp.hAPP @t4383 @t4352)) (=> (tptp.c_Relation_Orefl__on @t8 @t1407 @t4352) (tptp.hBOOL (tptp.hAPP @t5020 (tptp.c_List_Olistrel @t8 @t4352))))))) % 6.51/6.71 (assume @p3676 (forall @t4562 (=> @t5018 (tptp.hBOOL (tptp.hAPP @t5022 @t61))))) % 6.51/6.71 (assume @p3677 (forall @t4385 (=> @t4384 (tptp.hBOOL (tptp.hAPP @t5020 (tptp.c_List_Olistrel1 @t8 @t1660)))))) % 6.51/6.71 (assume @p3678 (forall @t4971 (=> @t5023 @t4819))) % 6.51/6.71 (assume @p3679 (forall @t4971 (= @t5023 (exists (@list @t42 @t1714) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t4964 @t42)) @t1449)) @t4966 (= @t4521 (tptp.hAPP (tptp.hAPP @t4860 @t1714) @t42))))))) % 6.51/6.71 (assume @p3680 (forall (@list @t64 @t1449 @t8) (=> @t4375 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t5024 @t64)) @t4955)))))) % 6.51/6.71 (assume @p3681 (forall @t5026 (=> (forall @t4035 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t5025 @t2356)) @t1449)) (= @t476 @t2356) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP (tptp.hAPP @t4073 @t2356) @t476)) @t1449)))) (or @t4961 @t222 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t5024 @t61)) @t4955)))))) % 6.51/6.71 (assume @p3682 (forall @t5029 (=> (tptp.hBOOL (tptp.hAPP @t1211 @t4762)) (= (tptp.c_List_Obutlast @t8 @t4932) @t5028)))) % 6.51/6.71 (assume @p3683 (forall @t5030 (= (tptp.hAPP @t4529 (tptp.c_List_Obutlast @t47 @t4522)) (tptp.c_List_Obutlast @t8 @t4531)))) % 6.51/6.71 (assume @p3684 (forall @t4715 (=> @t5032 @t4701))) % 6.51/6.71 (assume @p3685 (forall @t5029 (=> @t5034 (= (tptp.hAPP @t4931 @t5033) @t4932)))) % 6.51/6.71 (assume @p3686 (forall @t5037 (= (tptp.hAPP @t4752 @t5033) @t5036))) % 6.51/6.71 (assume @p3687 (forall @t5037 (= @t5033 (tptp.hAPP (tptp.hAPP @t4927 @t5036) @t4704)))) % 6.51/6.71 (assume @p3688 (forall (@list @t132 @t4704 @t8 @t1161) (and (=> @t5041 (= @t5040 @t5033)) (=> @t5042 (= @t5040 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5033) @t1161) @t132)))))) % 6.51/6.71 (assume @p3689 (forall (@list @t4703 @t4704 @t8 @t1161) (=> (tptp.hBOOL (tptp.hAPP @t1185 @t4762)) (=> (tptp.hBOOL (tptp.hAPP @t1185 @t4766)) (=> (forall @t2737 (=> (tptp.hBOOL (tptp.hAPP @t3477 @t1161)) (= @t5045 (tptp.hAPP @t5044 @t2734)))) (= (tptp.hAPP @t5043 @t4704) (tptp.hAPP @t5043 @t4703))))))) % 6.51/6.71 (assume @p3690 (forall @t5053 (= (tptp.hBOOL (tptp.hAPP @t5052 @t4973)) (or (and @t4414 @t4819) (and @t222 (tptp.hBOOL (tptp.hAPP @t4969 @t4973))))))) % 6.51/6.71 (assume @p3691 (forall (@list @t4522 @t1449 @t61 @t8) (=> @t4560 (=> @t5058 (tptp.hBOOL (tptp.hAPP @t5056 @t5054)))))) % 6.51/6.71 (assume @p3692 (forall (@list @t4521 @t4522 @t8 @t64 @t61 @t1449) (=> (tptp.hBOOL (tptp.hAPP @t5022 @t64)) (=> (tptp.c_List_Olistrelp @t8 @t1449 @t4522 @t4521) (tptp.c_List_Olistrelp @t8 @t1449 @t5050 @t5048))))) % 6.51/6.71 (assume @p3693 (forall (@list @t711 @t354 @t353 @t352 @t1449 @t8) (= (tptp.c_List_Olistrelp @t8 @t1449 (tptp.hAPP @t5062 @t353) (tptp.hAPP @t5061 @t711)) (and @t5060 (tptp.c_List_Olistrelp @t8 @t1449 @t353 @t711))))) % 6.51/6.71 (assume @p3694 (forall @t4831 (= (tptp.hAPP @t4529 @t5065) (tptp.hAPP (tptp.hAPP @t5046 @t67) @t4531)))) % 6.51/6.71 (assume @p3695 (forall (@list @t1865 @t1034 @t4522 @t61 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5050) @t1034) @t1865) (tptp.c_Nat_Onat_Onat__case @t4514 (tptp.hAPP (tptp.hAPP @t5046 @t1865) @t4522) (tptp.hAPP @t5066 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t8 @t4514) @t4860) @t1865)) @t1034)))) % 6.51/6.71 (assume @p3696 (forall (@list @t210 @t1165 @t4704 @t132 @t8) (= (tptp.hAPP (tptp.hAPP @t5069 @t1788) @t210) (tptp.hAPP @t5067 @t4878)))) % 6.51/6.71 (assume @p3697 (forall (@list @t210 @t4704 @t132 @t8) (= (tptp.hAPP (tptp.hAPP @t5069 @t2094) @t210) @t5071))) % 6.51/6.71 (assume @p3698 (forall @t5073 (=> @t2121 (= (tptp.hAPP @t4884 @t5068) (tptp.hAPP @t1382 @t5072))))) % 6.51/6.71 (assume @p3699 (forall (@list @t1153 @t4704 @t132 @t8) (= (tptp.hAPP @t5075 @t1716) @t5074))) % 6.51/6.71 (assume @p3700 (forall @t5073 (= (tptp.hAPP @t5075 @t2094) @t132))) % 6.51/6.71 (assume @p3701 (forall @t5077 (and (=> @t244 (= @t5076 @t4769)) (=> @t640 (= @t5076 (tptp.hAPP @t5070 @t4769)))))) % 6.51/6.71 (assume @p3702 (forall @t5078 (not (= @t4704 @t5068)))) % 6.51/6.71 (assume @p3703 (forall @t5073 (not (= @t5068 @t4704)))) % 6.51/6.71 (assume @p3704 (forall (@list @t5079 @t151 @t4574 @t13 @t8) (= (= @t5081 (tptp.hAPP (tptp.hAPP @t5046 @t151) @t5079)) (and @t152 (= @t4574 @t5079))))) % 6.51/6.71 (assume @p3705 (forall (@list @t13 @t4522 @t61 @t2 @t8 @t47) (= (tptp.c_List_Ofoldr @t47 @t8 @t2 @t5065 @t13) (tptp.hAPP @t67 @t5082)))) % 6.51/6.71 (assume @p3706 (forall @t5077 (and (=> @t244 (= @t5083 @t4704)) (=> @t640 (= @t5083 (tptp.hAPP @t5070 @t4710)))))) % 6.51/6.71 (assume @p3707 (forall @t5085 (= (tptp.hAPP @t5084 @t5068) (tptp.hAPP @t5067 @t4932)))) % 6.51/6.71 (assume @p3708 (forall (@list @t4703 @t210 @t4704 @t132 @t47 @t8) (= (tptp.hAPP (tptp.hAPP @t4698 @t5068) (tptp.hAPP (tptp.hAPP @t5063 @t210) @t4703)) (tptp.hAPP (tptp.hAPP @t5086 @t4199) @t4706)))) % 6.51/6.71 (assume @p3709 (forall (@list @t4521 @t47 @t64 @t61 @t2 @t8) (=> @t214 (and (=> @t5090 (= @t5089 (tptp.hAPP @t5064 @t5088))) (=> (not @t5090) (= @t5089 (tptp.hAPP @t5087 (tptp.hAPP @t4825 @t4521)))))))) % 6.51/6.71 (assume @p3710 (forall (@list @t132 @t4703 @t4704 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4879 @t4766)) (not (= @t4704 @t5091))))) % 6.51/6.71 (assume @p3711 (forall @t4697 (tptp.hBOOL (tptp.hAPP @t4882 @t5092)))) % 6.51/6.71 (assume @p3712 (forall (@list @t4522 @t61 @t64 @t8) (=> (tptp.hBOOL (tptp.hAPP @t247 @t5092)) (or @t94 @t4617)))) % 6.51/6.71 (assume @p3713 (forall @t4715 (= @t5092 @t4759))) % 6.51/6.71 (assume @p3714 (forall (@list @t692 @t4522 @t61 @t8) (= (tptp.hAPP (tptp.hAPP @t4806 @t5050) @t692) (tptp.c_Nat_Onat_Onat__case @t8 @t61 @t4807 @t692)))) % 6.51/6.71 (assume @p3715 (forall @t4715 (= (tptp.hBOOL (tptp.hAPP @t4672 @t5050)) @t4856))) % 6.51/6.71 (assume @p3716 (forall (@list @t5093 @t2337 @t106 @t47 @t1161 @t1238) (and (=> @t5095 (= @t5094 (tptp.hAPP @t4506 @t2337))) (=> (not @t5095) (= @t5094 (tptp.hAPP (tptp.hAPP @t4509 @t5093) @t1161)))))) % 6.51/6.71 (assume @p3717 (forall @t5097 (=> @t5023 (tptp.hBOOL (tptp.hAPP @t5096 @t5019))))) % 6.51/6.71 (assume @p3718 (forall (@list @t4911 @t109 @t4912 @t13 @t337 @t47 @t8) (= (tptp.c_Map_Omap__upds @t8 @t47 @t337 (tptp.hAPP @t5080 @t4912) (tptp.hAPP (tptp.hAPP @t5063 @t109) @t4911)) @t4913))) % 6.51/6.71 (assume @p3719 (forall (@list @t5098 @t255 @t8) (= (tptp.hAPP @t4752 (tptp.hAPP @t5099 @t5098)) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t4752 @t5098)) @t2095)))) % 6.51/6.71 (assume @p3720 (forall @t5101 (and (=> @t2142 (= @t5100 @t132)) (=> @t2143 (= @t5100 (tptp.hAPP @t4813 @t2345)))))) % 6.51/6.71 (assume @p3721 (forall (@list @t4574 @t13 @t2351 @t8) (= (tptp.c_List_Olist_Olist__size @t8 @t2351 @t5081) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t2415 (tptp.c_List_Olist_Olist__size @t8 @t2351 @t4574))) @t2095)))) % 6.51/6.71 (assume @p3722 (forall @t5104 (and (=> @t3673 (= @t5102 @t132)) (=> @t5103 (= @t5102 (tptp.hAPP @t4813 @t3504)))))) % 6.51/6.71 (assume @p3723 (forall @t5053 (= (tptp.hBOOL (tptp.hAPP @t5052 @t5019)) (or (and @t4414 @t4523) (and @t222 @t5023))))) % 6.51/6.71 (assume @p3724 (forall (@list @t4522 @t1449 @t64 @t61 @t8) (=> @t4414 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t5051 (tptp.hAPP @t5047 @t4522))) @t5019))))) % 6.51/6.71 (assume @p3725 (forall @t5105 (=> @t4414 (=> @t4970 (tptp.hBOOL (tptp.hAPP @t5052 @t4967)))))) % 6.51/6.71 (assume @p3726 (forall (@list @t1449 @t64 @t109 @t61 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4956 @t5107) @t5106)) @t4955)) (or @t4402 (and @t110 @t4961))))) % 6.51/6.71 (assume @p3727 (forall (@list @t4231 @t2866 @t47 @t8) (= (tptp.hAPP @t2254 (tptp.hAPP (tptp.hAPP @t5086 @t2866) @t4231)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 @t4238) @t4197) (tptp.hAPP @t618 @t4206))))) % 6.51/6.71 (assume @p3728 (forall (@list @t4522 @t61 @t1449 @t8) (= (tptp.hAPP @t5110 (tptp.hAPP (tptp.hAPP @t5109 @t5050) @t5108)) (tptp.c_List_Oset__Cons @t8 @t4398 (tptp.hAPP @t5110 (tptp.hAPP (tptp.hAPP @t5109 @t4522) @t5108)))))) % 6.51/6.71 (assume @p3729 (forall (@list @t4279 @t51 @t8) (= (tptp.c_List_Oset__Cons @t8 @t51 @t4279) (tptp.hAPP @t4791 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t4514) @t1671) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5115 @t55 @t4514) (tptp.hAPP (tptp.c_COMBB @t4515 tptp.tc_HOL_Obool @t8) (tptp.c_HOL_OEx @t4514))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4514 @t5115 @t5115) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5118 (tptp.tc_fun @t5115 @t5115) @t4514) (tptp.c_COMBS @t8 @t4515 @t4515)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5117 @t5118 @t4514) (tptp.hAPP (tptp.c_COMBB @t4985 @t4987 @t8) @t4789)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5115 @t5117 @t4514) (tptp.hAPP (tptp.c_COMBB @t4515 @t4985 @t8) @t4788)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4514 @t5116 @t5115) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5114 (tptp.tc_fun @t5116 @t5115) @t4514) (tptp.c_COMBB @t5113 @t4515 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4515 @t5114 @t4514) (tptp.c_COMBB @t4514 tptp.tc_HOL_Obool @t4514)) tptp.c_fequal))) @t5046))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4515 @t4515) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t525 @t4987 @t8) @t5112) @t1536)) (tptp.hAPP @t5111 @t4279))))))))) % 6.51/6.71 (assume @p3730 (forall @t5122 (= (tptp.hAPP @t5004 @t1780) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4974) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t5121 @t5121) @t4958 (tptp.c_Product__Type_Omap__pair @t5121 @t4514 @t5121 @t4514 @t5120 @t5120)) (tptp.c_Wellfounded_Olex__prod @t8 @t4514 @t1449 @t5005))) (tptp.hAPP @t4991 (tptp.hAPP @t4990 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4514 @t4515 @t4515) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t525 @t4987 @t4514) @t5112) (tptp.hAPP @t4788 @t5119))) @t5119))))))) % 6.51/6.71 (assume @p3731 (forall (@list @t1449 @t4521 @t64 @t4522 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t4968 @t5048)) @t4967)) (not (forall (@list @t3 @t5123) (=> (= @t4522 @t5125) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t4074 @t64)) @t1449)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4956 @t5123) @t4521)) @t4967)))))))))) % 6.51/6.71 (assume @p3732 (forall (@list @t1 @t2 @t4043 @t106 @t393 @t109 @t13 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3991 @t393)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5129 (tptp.hAPP (tptp.hAPP @t5128 @t80) @t5127)) (tptp.hAPP (tptp.c_Set_Oimage @t1469 @t4739 @t5126) @t393)))))) % 6.51/6.71 (assume @p3733 (forall (@list @t61 @t1 @t2 @t4043 @t106 @t8 @t47) (= (tptp.hAPP @t4180 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t106 @t47 @t4043 @t8 @t2 @t1) @t61)) @t4246))) % 6.51/6.71 (assume @p3734 (forall (@list @t315 @t47 @t8) (= (tptp.hAPP @t5130 @t315) @t315))) % 6.51/6.71 (assume @p3735 (forall (@list @t61 @t1 @t2 @t4043 @t106 @t47 @t8) (= (tptp.hAPP @t4194 (tptp.hAPP @t5131 @t61)) @t4248))) % 6.51/6.71 (assume @p3736 (forall (@list @t1 @t2 @t47 @t8 @t106 @t4043) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4723 @t106 @t1469 @t4251) (tptp.c_Product__Type_Omap__pair @t8 @t4043 @t47 @t106 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t106 @t1469 @t1) @t4192)))) % 6.51/6.71 (assume @p3737 (forall (@list @t1034 @t356 @t1 @t2 @t47 @t8 @t4043 @t106 @t4655 @t4042) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5132 @t4739 @t1469 (tptp.c_Product__Type_Omap__pair @t4042 @t106 @t4655 @t4043 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t8 @t4042 @t47 @t4655 @t356 @t1034)) (tptp.c_Product__Type_Omap__pair @t8 @t106 @t47 @t4043 (tptp.hAPP (tptp.c_Fun_Ocomp @t4042 @t106 @t8 @t2) @t356) (tptp.hAPP (tptp.c_Fun_Ocomp @t4655 @t4043 @t47 @t1) @t1034))))) % 6.51/6.71 (assume @p3738 (forall (@list @t5133 @t5134 @t4655 @t616 @t456 @t4042 @t4043 @t47 @t106 @t8) (= (tptp.c_Product__Type_Omap__pair @t8 @t106 @t47 @t4043 (tptp.hAPP (tptp.c_Fun_Ocomp @t4042 @t106 @t8 @t456) @t616) (tptp.hAPP (tptp.c_Fun_Ocomp @t4655 @t4043 @t47 @t5134) @t5133)) (tptp.hAPP (tptp.c_Fun_Ocomp @t5132 @t4739 @t1469 (tptp.c_Product__Type_Omap__pair @t4042 @t106 @t4655 @t4043 @t456 @t5134)) (tptp.c_Product__Type_Omap__pair @t8 @t4042 @t47 @t4655 @t616 @t5133))))) % 6.51/6.71 (assume @p3739 (forall (@list @t5135 @t1034 @t356 @t4655 @t4042 @t1 @t2 @t47 @t4043 @t8 @t106) (= (tptp.hAPP @t5131 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t4042 @t106 @t4655 @t4043 @t356 @t1034) @t5135)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t4042 @t8 @t4655 @t47 (tptp.hAPP (tptp.c_Fun_Ocomp @t106 @t8 @t4042 @t2) @t356) (tptp.hAPP (tptp.c_Fun_Ocomp @t4043 @t47 @t4655 @t1) @t1034)) @t5135)))) % 6.51/6.71 (assume @p3740 (forall (@list @t1 @t2 @t47 @t8 @t4043 @t106) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4739 @t106 @t1469 @t4247) @t5126) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t106 @t1469 @t2) @t4194)))) % 6.51/6.71 (assume @p3741 (forall (@list @t109 @t13 @t1 @t2 @t47 @t4043 @t8 @t106) (= (tptp.hAPP @t5131 (tptp.hAPP (tptp.hAPP @t5128 @t13) @t109)) (tptp.hAPP (tptp.hAPP @t3927 @t80) @t5127)))) % 6.51/6.71 (assume @p3742 (forall (@list @t1 @t2 @t4043 @t47 @t106 @t8) (= @t5126 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t47 @t4739) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5138 @t5137) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5136 (tptp.tc_fun @t5138 @t5137) @t8) (tptp.c_COMBB @t4043 @t4739 @t47)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t106 @t5136 @t8) @t5128) @t2))) @t1))))) % 6.51/6.71 (assume @p3743 (forall (@list @t1 @t106 @t4043 @t2 @t8 @t47) (=> @t1580 (=> (= (tptp.hAPP @t5142 (tptp.c_Orderings_Otop__class_Otop @t5141)) @t4597) (= (tptp.hAPP @t5140 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4729 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t5139)))))) % 6.51/6.71 (assume @p3744 (forall (@list @t1449 @t4522 @t4521 @t64 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4956 @t5048) @t4522)) @t4967)) (not (forall (@list @t42 @t5143) (=> (= @t4522 (tptp.hAPP @t5145 @t5143)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t4440 @t42)) @t1449)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t5144 @t5143)) @t4967)))))))))) % 6.51/6.71 (assume @p3745 (forall (@list @t393 @t1 @t2 @t4043 @t106 @t18 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5146 (tptp.hAPP (tptp.c_Set_Oimage @t4739 @t1469 @t5131) @t393))) (not (forall @t503 (=> (= @t18 (tptp.hAPP (tptp.hAPP @t3927 @t5) (tptp.hAPP @t1 @t42))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5129 (tptp.hAPP (tptp.hAPP @t5128 @t3) @t42)) @t393))))))))) % 6.51/6.71 (assume @p3746 (forall @t5148 (=> @t5147 @t5058))) % 6.51/6.71 (assume @p3747 (forall @t5148 (=> @t5058 @t5147))) % 6.51/6.71 (assume @p3748 (forall @t174 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5151 @t5150) @t5149))))) % 6.51/6.71 (assume @p3749 (forall @t365 (= (tptp.c_List_Olists @t8 @t1407) @t4516))) % 6.51/6.71 (assume @p3750 (forall @t4397 (=> @t4405 (tptp.c_Equiv__Relations_Oequiv @t4514 @t5150 @t4967)))) % 6.51/6.71 (assume @p3751 (forall @t4397 (=> @t5007 (tptp.c_Relation_Orefl__on @t4514 @t5150 @t4967)))) % 6.51/6.71 (assume @p3752 (forall (@list @t51 @t4522 @t61 @t8) (= (tptp.hBOOL (tptp.hAPP @t5056 @t5150)) (and @t156 @t5152)))) % 6.51/6.71 (assume @p3753 (forall @t5153 (= @t5152 (forall @t7 (=> @t4837 @t234))))) % 6.51/6.71 (assume @p3754 (forall @t199 (= @t5150 (tptp.hAPP @t4791 @t4786)))) % 6.51/6.71 (assume @p3755 (forall (@list @t51 @t1 @t2 @t47 @t8 @t106) (= (tptp.hAPP (tptp.c_Set_Oimage @t106 @t1469 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t106 @t47 @t1469) @t4736) @t1)) @t51) (tptp.hAPP (tptp.hAPP @t5155 (tptp.hAPP @t1525 @t51)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t778 @t48 @t8) @t108) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t778 @t778) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t778 @t5154 @t8) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t778)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t778 @t8) (tptp.c_Set_Ovimage @t106 @t8 @t2)) @t492))) @t51)))))) % 6.51/6.71 (assume @p3756 (forall @t5104 (and (=> @t3673 (= @t5156 @t5157)) (=> @t5103 (= @t5156 (tptp.hAPP @t5067 (tptp.hAPP (tptp.hAPP @t4927 @t3504) @t4704))))))) % 6.51/6.71 (assume @p3757 (forall @t199 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5055 @t5157) @t5150)))) % 6.51/6.71 (assume @p3758 (forall @t1032 (=> @t176 (=> @t1031 @t5160)))) % 6.51/6.71 (assume @p3759 (forall @t5148 (=> (tptp.hBOOL (tptp.hAPP @t5163 @t4967)) @t5161))) % 6.51/6.71 (assume @p3760 (forall @t5148 (=> (tptp.hBOOL (tptp.hAPP @t5164 @t4967)) @t5161))) % 6.51/6.71 (assume @p3761 (forall @t5169 (=> @t5168 (tptp.hBOOL (tptp.hAPP @t4976 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t4514 @t4514) @t5150) (tptp.hAPP (tptp.c_COMBK @t4515 @t4514) @t5150))))))) % 6.51/6.71 (assume @p3762 (forall @t1089 (= (tptp.hAPP @t5170 (tptp.hAPP (tptp.hAPP @t5173 @t1493) @t77)) (tptp.hAPP (tptp.hAPP @t3926 @t5172) @t5171)))) % 6.51/6.71 (assume @p3763 (forall @t5178 (= (tptp.hAPP (tptp.hAPP @t5155 @t731) @t5174) (tptp.hAPP (tptp.hAPP @t3926 @t5177) @t5176)))) % 6.51/6.71 (assume @p3764 (forall @t5181 (= (tptp.hAPP (tptp.hAPP @t5155 (tptp.hAPP (tptp.hAPP @t729 @t1085) @t1120)) @t225) (tptp.hAPP (tptp.hAPP @t3926 @t5180) @t5179)))) % 6.51/6.71 (assume @p3765 (forall @t785 (=> @t1791 (= (tptp.hAPP (tptp.hAPP @t2149 (tptp.hAPP (tptp.hAPP @t782 (tptp.hAPP (tptp.hAPP @t780 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t106 @t8)) @t2)) @t77)) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t3956 @t8) @t4041) @t5184))))) % 6.51/6.71 (assume @p3766 (forall @t785 (=> @t784 (= @t783 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t3956 @t8) @t4041) @t5184))))) % 6.51/6.71 (assume @p3767 (forall (@list @t1161 @t8 @t47) (= (tptp.hAPP (tptp.hAPP @t2096 (tptp.c_List_Olist_ONil @t4325)) @t1161) @t983))) % 6.51/6.71 (assume @p3768 (forall @t954 (=> @t363 (=> @t367 @t5187)))) % 6.51/6.71 (assume @p3769 (forall @t2492 (= (tptp.hAPP @t4931 @t5157) @t5157))) % 6.51/6.71 (assume @p3770 (forall @t4945 (= (= @t4943 @t5157) (or @t2145 @t5161)))) % 6.51/6.71 (assume @p3771 (forall @t5037 (= (tptp.hAPP (tptp.hAPP @t4927 @t2094) @t4704) @t5157))) % 6.51/6.71 (assume @p3772 (forall (@list @t4911 @t337 @t47 @t8) (= (tptp.c_Map_Omap__upds @t8 @t47 @t337 @t5157 @t4911) @t337))) % 6.51/6.71 (assume @p3773 (forall (@list @t4912 @t337 @t47 @t8) (= (tptp.c_Map_Omap__upds @t8 @t47 @t337 @t4912 @t5188) @t337))) % 6.51/6.71 (assume @p3774 (forall (@list @t4522 @t13 @t2 @t8 @t47) (=> @t4830 (not (= @t5190 @t5157))))) % 6.51/6.71 (assume @p3775 (forall @t199 (= (tptp.c_List_Osublist @t8 @t5157 @t51) @t5157))) % 6.51/6.71 (assume @p3776 (forall (@list @t4703 @t47 @t8) (= (tptp.hAPP (tptp.hAPP @t4698 @t5157) @t4703) @t5191))) % 6.51/6.71 (assume @p3777 (forall (@list @t4704 @t47 @t8) (= (tptp.hAPP @t4705 @t5188) @t5191))) % 6.51/6.71 (assume @p3778 (forall @t134 (= (tptp.c_List_Oremove1 @t8 @t132 @t5157) @t5157))) % 6.51/6.71 (assume @p3779 (forall (@list @t13 @t2 @t8 @t47) (= (tptp.c_List_Ofoldr @t47 @t8 @t2 @t5188 @t13) @t13))) % 6.51/6.71 (assume @p3780 (forall @t5181 (= (tptp.hAPP (tptp.hAPP @t5155 (tptp.hAPP (tptp.hAPP @t528 @t1085) @t1120)) @t225) (tptp.hAPP (tptp.hAPP @t5192 @t5180) @t5179)))) % 6.51/6.71 (assume @p3781 (forall @t5178 (= (tptp.hAPP (tptp.hAPP @t5155 @t539) @t5174) (tptp.hAPP (tptp.hAPP @t5192 @t5177) @t5176)))) % 6.51/6.71 (assume @p3782 (forall @t1089 (= (tptp.hAPP @t5170 (tptp.hAPP (tptp.hAPP @t5173 @t1496) @t77)) (tptp.hAPP (tptp.hAPP @t5192 @t5172) @t5171)))) % 6.51/6.71 (assume @p3783 (forall @t1083 (= (tptp.hAPP @t5193 @t5186) (tptp.hAPP (tptp.hAPP @t1721 @t1386) @t2423)))) % 6.51/6.71 (assume @p3784 (forall @t365 (tptp.hBOOL (tptp.hAPP @t4672 @t5157)))) % 6.51/6.71 (assume @p3785 (forall @t134 (= (tptp.hAPP @t4768 @t5157) @t5157))) % 6.51/6.71 (assume @p3786 (forall @t2163 (= (tptp.hAPP @t5196 (tptp.hAPP @t5194 @t5195)) (tptp.hAPP @t5194 (tptp.hAPP @t1079 @t1579))))) % 6.51/6.71 (assume @p3787 (forall @t2163 (= (tptp.hAPP @t5196 (tptp.hAPP @t5158 @t5197)) (tptp.hAPP (tptp.hAPP @t5155 @t1298) @t5197)))) % 6.51/6.71 (assume @p3788 (forall @t1089 (= (tptp.hAPP @t5170 (tptp.hAPP (tptp.hAPP @t5173 @t1055) @t77)) (tptp.hAPP (tptp.hAPP @t3941 @t5172) @t5171)))) % 6.51/6.71 (assume @p3789 (forall @t5178 (= (tptp.hAPP (tptp.hAPP @t5155 @t195) @t5174) (tptp.hAPP (tptp.hAPP @t3941 @t5177) @t5176)))) % 6.51/6.71 (assume @p3790 (forall @t5181 (= (tptp.hAPP (tptp.hAPP @t5155 (tptp.hAPP (tptp.hAPP @t193 @t1085) @t1120)) @t225) (tptp.hAPP (tptp.hAPP @t3941 @t5180) @t5179)))) % 6.51/6.71 (assume @p3791 (forall @t365 (= (tptp.hAPP @t4752 @t5157) @t2094))) % 6.51/6.71 (assume @p3792 (forall @t4542 (= (= @t4770 @t2094) @t5161))) % 6.51/6.71 (assume @p3793 (forall @t365 (=> @t2121 (= (tptp.hAPP @t4884 @t5157) @t2105)))) % 6.51/6.71 (assume @p3794 (forall (@list @t61 @t690 @t4522 @t8) (= (= (tptp.hAPP (tptp.hAPP @t4860 @t690) @t61) @t5157) @t5161))) % 6.51/6.71 (assume @p3795 (forall (@list @t2337 @t1165 @t8) (= (tptp.hAPP @t5198 @t2337) @t5157))) % 6.51/6.71 (assume @p3796 (forall (@list @t210 @t1165 @t8) (= (tptp.hAPP @t5198 @t210) @t5157))) % 6.51/6.71 (assume @p3797 (forall @t4566 (= (= @t5157 @t4531) @t5199))) % 6.51/6.71 (assume @p3798 (forall @t87 (= (tptp.hAPP @t4529 @t5188) @t5157))) % 6.51/6.71 (assume @p3799 (forall @t5030 (= (= @t4531 @t5157) @t5199))) % 6.51/6.71 (assume @p3800 (forall @t3846 (tptp.c_List_Olistrelp @t8 @t1449 @t5157 @t5157))) % 6.51/6.71 (assume @p3801 (forall (@list @t77 @t157 @t47 @t8) (= (tptp.hAPP (tptp.hAPP @t5155 (tptp.c_Complete__Lattice_OSup__class_OSup @t55 @t157)) @t77) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t55 @t1470) @t157) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t55 @t3938 @t1470) @t5155) @t77))))) % 6.51/6.71 (assume @p3802 (forall @t365 (= (tptp.c_List_Obutlast @t8 @t5157) @t5157))) % 6.51/6.71 (assume @p3803 (forall @t4397 (=> @t4405 @t5168))) % 6.51/6.71 (assume @p3804 (forall @t5078 (and (=> @t5201 (= @t5200 @t5157)) (=> @t5202 (= @t5200 (tptp.hAPP @t5067 @t5033)))))) % 6.51/6.71 (assume @p3805 (forall @t4542 (= (= @t4554 @t56) @t5161))) % 6.51/6.71 (assume @p3806 (forall @t4542 (= (= @t56 @t4554) @t5161))) % 6.51/6.71 (assume @p3807 (forall @t365 (= (tptp.hAPP @t4553 @t5157) @t56))) % 6.51/6.71 (assume @p3808 (forall @t1083 (= (= @t5186 @t3946) (or @t57 @t2707)))) % 6.51/6.71 (assume @p3809 (forall @t2163 (= (tptp.hAPP @t5158 (tptp.hAPP @t1079 @t49)) @t3946))) % 6.51/6.71 (assume @p3810 (forall (@list @t77 @t47 @t8) (= (tptp.hAPP (tptp.hAPP @t5155 @t56) @t77) @t3946))) % 6.51/6.71 (assume @p3811 (forall @t5209 (=> @t5208 (= (= @t5207 @t5205) @t168)))) % 6.51/6.71 (assume @p3812 (forall @t2084 (=> @t4830 (= (tptp.hAPP @t4828 @t5157) @t5210)))) % 6.51/6.71 (assume @p3813 (forall @t5213 (not (= @t5212 @t5157)))) % 6.51/6.71 (assume @p3814 (forall @t5213 (not (= @t5157 @t5212)))) % 6.51/6.71 (assume @p3815 (forall @t1247 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t1162) @t1165)) @t5215))) % 6.51/6.71 (assume @p3816 (forall @t5216 (=> @t5202 (=> @t4708 (tptp.hBOOL (tptp.hAPP @t4672 @t5033)))))) % 6.51/6.71 (assume @p3817 (forall @t199 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 @t4392) @t5167)))) % 6.51/6.71 (assume @p3818 (forall @t2504 (= (tptp.c_List_Olist_Olist__size @t8 @t2351 @t5157) @t2094))) % 6.51/6.71 (assume @p3819 (forall @t365 (=> @t214 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t56) @t5157)))) % 6.51/6.71 (assume @p3820 (forall @t997 (= (tptp.hAPP @t5194 @t5197) @t1471))) % 6.51/6.71 (assume @p3821 (forall @t5217 (= @t5160 (and @t176 @t1031)))) % 6.51/6.71 (assume @p3822 (forall @t5217 (=> @t5160 @t176))) % 6.51/6.71 (assume @p3823 (forall @t5217 (=> @t5160 @t1031))) % 6.51/6.71 (assume @p3824 (forall @t5217 (=> @t5160 (not (=> @t176 (not @t1031)))))) % 6.51/6.71 (assume @p3825 (forall @t4542 (= (tptp.c_List_Osublist @t8 @t4522 @t2388) @t5157))) % 6.51/6.71 (assume @p3826 (forall (@list @t5218 @t47 @t8) (= (tptp.hAPP (tptp.hAPP @t2254 @t5191) @t5218) @t905))) % 6.51/6.71 (assume @p3827 (forall (@list @t51 @t61 @t47 @t8) (= (tptp.hAPP @t5193 (tptp.hAPP (tptp.hAPP @t5155 @t129) @t5195)) @t2508))) % 6.51/6.71 (assume @p3828 (forall @t5209 (=> @t5208 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5220 @t5207) @t5205)) (tptp.hBOOL (tptp.hAPP @t5219 @t77)))))) % 6.51/6.71 (assume @p3829 (forall @t4542 (= @t4777 @t5221))) % 6.51/6.71 (assume @p3830 (forall (@list @t225 @t77 @t51 @t1449 @t47 @t8) (=> @t5223 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP @t4349 @t225)) @t77))))) % 6.51/6.71 (assume @p3831 (forall @t1083 (=> @t5187 (=> (not @t2707) @t363)))) % 6.51/6.71 (assume @p3832 (forall @t1083 (=> @t5187 (=> @t58 @t367)))) % 6.51/6.71 (assume @p3833 (forall @t5226 (= (tptp.hAPP @t3908 (tptp.hAPP @t3907 (tptp.hAPP (tptp.hAPP @t5173 @t5225) @t135))) (tptp.hAPP @t5224 (tptp.hAPP @t1606 @t135))))) % 6.51/6.71 (assume @p3834 (forall @t5226 (= (tptp.hAPP @t3908 (tptp.hAPP @t3907 (tptp.hAPP (tptp.hAPP @t717 @t5225) @t135))) (tptp.hAPP @t5224 (tptp.hAPP @t1079 (tptp.hAPP @t1567 @t135)))))) % 6.51/6.71 (assume @p3835 (forall (@list @t51 @t47 @t8 @t77) (and (=> @t301 (= @t5228 @t49)) (=> @t470 (= @t5228 @t51))))) % 6.51/6.71 (assume @p3836 (forall (@list @t77 @t47 @t8 @t51) (and (=> @t57 (= @t5229 @t49)) (=> @t58 (= @t5229 @t77))))) % 6.51/6.71 (assume @p3837 (forall @t5073 (= (tptp.hAPP (tptp.hAPP @t4927 @t1615) @t5068) @t5230))) % 6.51/6.71 (assume @p3838 (forall @t5148 (not (tptp.hBOOL (tptp.hAPP @t5164 @t5019))))) % 6.51/6.71 (assume @p3839 (forall @t5148 (not (tptp.hBOOL (tptp.hAPP @t5163 @t5019))))) % 6.51/6.71 (assume @p3840 (forall @t3846 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 @t5231) @t4967)))) % 6.51/6.71 (assume @p3841 (forall (@list @t5232 @t77 @t1 @t106 @t4043 @t4351 @t51 @t2 @t8 @t47) (=> (= @t85 @t4351) (=> (= (tptp.hAPP @t5142 @t77) @t5232) (= (tptp.hAPP @t5140 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t47 @t4043) @t51) (tptp.hAPP (tptp.c_COMBK @t5141 @t47) @t77))) (tptp.hAPP (tptp.hAPP @t5234 @t4351) (tptp.hAPP @t5233 @t5232))))))) % 6.51/6.71 (assume @p3842 (forall @t1078 (= (tptp.hAPP (tptp.c_Set_Oimage @t4325 @t1469 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t47 @t8 @t1469) @t5235)) @t5227) (tptp.hAPP @t5175 @t5195)))) % 6.51/6.71 (assume @p3843 (forall @t4401 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t4957 @t5157)) @t4955))))) % 6.51/6.71 (assume @p3844 (forall (@list @t1449 @t4521 @t8) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t5162 @t4521)) @t4973))))) % 6.51/6.71 (assume @p3845 (forall @t5148 (not (tptp.hBOOL (tptp.hAPP @t5164 @t4973))))) % 6.51/6.71 (assume @p3846 (forall @t4397 (= @t5007 (and @t5168 @t5006)))) % 6.51/6.71 (assume @p3847 (forall (@list @t77 @t109 @t51 @t13 @t47 @t8) (= (tptp.hAPP @t5236 @t5237) (tptp.hAPP @t5239 (tptp.hAPP (tptp.hAPP @t3941 (tptp.hAPP @t5158 @t5237)) (tptp.hAPP @t5236 @t5185)))))) % 6.51/6.71 (assume @p3848 (forall (@list @t157 @t1449 @t51 @t8) (=> @t363 (=> @t5168 (=> @t4407 @t5240))))) % 6.51/6.71 (assume @p3849 (forall (@list @t77 @t1 @t4043 @t106 @t51 @t2 @t47 @t8) (=> @t4454 (=> (tptp.c_Fun_Oinj__on @t106 @t4043 @t1 @t77) (tptp.c_Fun_Oinj__on @t4508 @t4729 (tptp.c_Product__Type_Omap__pair @t8 @t47 @t106 @t4043 @t2 @t1) (tptp.hAPP @t5241 (tptp.hAPP @t5233 @t77))))))) % 6.51/6.71 (assume @p3850 (forall (@list @t123 @t5242 @t77 @t51 @t47 @t8 @t4043 @t106) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4739 @t1470) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t106 @t4043) @t51) (tptp.hAPP (tptp.c_COMBK @t5141 @t106) @t77))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t106 @t4043 @t1470) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t106 @t5245 @t5244) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5243 (tptp.tc_fun @t5245 @t5244) @t106) (tptp.c_COMBB @t3938 @t1470 @t4043)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 @t5243 @t106) @t5155) @t5242))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t48 @t3938 @t4043) @t1079) @t123)))) (tptp.hAPP (tptp.hAPP @t5155 (tptp.hAPP @t1064 @t5242)) (tptp.hAPP @t1079 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4043 @t48) @t77) @t123)))))) % 6.51/6.71 (assume @p3851 (forall @t1083 (= @t5159 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t1470) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t5248 @t1470) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t48 (tptp.tc_fun @t5248 @t1470) @t8) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t47 @t1470)) @t77)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1470 @t5248) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5247 (tptp.tc_fun @t1470 @t5248) @t8) (tptp.c_COMBC @t47 @t1470 @t1470)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3934 @t5247 @t8) (tptp.hAPP (tptp.c_COMBB @t1469 @t5246 @t47) @t5238)) @t3927))) @t3946)))))) % 6.51/6.71 (assume @p3852 (forall @t4397 (=> @t363 (=> @t5168 (tptp.hBOOL (tptp.hAPP @t1338 @t4396)))))) % 6.51/6.71 (assume @p3853 (forall @t5250 (= (tptp.hAPP @t4941 @t5050) (tptp.c_Nat_Onat_Onat__case @t4514 @t5157 (tptp.hAPP @t5066 (tptp.hAPP (tptp.hAPP @t5249 @t4927) @t4522)) @t692)))) % 6.51/6.71 (assume @p3854 (forall @t1245 (and (=> @t2597 (= @t4687 (tptp.hAPP (tptp.hAPP @t5252 @t1165) (tptp.c_List_Oupto @t5251 @t1162)))) (=> (not @t2597) @t5215)))) % 6.51/6.71 (assume @p3855 (forall (@list @t61 @t8 @t51) (and (=> @t5255 (= @t5253 @t5210)) (=> (not @t5255) (= @t5253 @t5157))))) % 6.51/6.71 (assume @p3856 (forall (@list @t77 @t51 @t2 @t106 @t47 @t8) (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t3956 @t2) @t5184) (tptp.hAPP (tptp.hAPP @t729 (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t47 (tptp.hAPP (tptp.c_Fun_Ocomp @t3956 @t47 @t8 @t4201) @t2)) @t51)) (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t106 (tptp.hAPP (tptp.c_Fun_Ocomp @t3956 @t106 @t8 @t4183) @t2)) @t77))))) % 6.51/6.71 (assume @p3857 (forall @t365 (= (tptp.c_List_Olists @t8 @t56) @t5256))) % 6.51/6.71 (assume @p3858 (forall @t5101 (and (=> @t2142 (= @t5257 @t5157)) (=> @t2143 (= @t5257 (tptp.hAPP @t5067 @t5028)))))) % 6.51/6.71 (assume @p3859 (forall @t1156 (and (=> @t5260 (= @t5259 (tptp.hAPP (tptp.hAPP @t5252 @t5258) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t2454 @t5258) @t2453) @t3832)))) (=> (not @t5260) (= @t5259 @t5214))))) % 6.51/6.71 (assume @p3860 (forall @t3846 (= (tptp.hAPP @t5110 @t5256) @t5256))) % 6.51/6.71 (assume @p3861 (forall @t199 (= (tptp.c_List_Oset__Cons @t8 @t51 @t5256) (tptp.hAPP (tptp.c_Set_Oimage @t8 @t4514 @t5263) @t51)))) % 6.51/6.71 (assume @p3862 (forall @t2808 (=> (tptp.hBOOL (tptp.hAPP @t5265 (tptp.hAPP (tptp.hAPP @t3920 @t1034) @t1190))) (and (=> @t5264 (= @t4688 (tptp.hAPP (tptp.hAPP @t5252 @t1034) @t4690))) (=> (not @t5264) (= @t4688 @t5214)))))) % 6.51/6.71 (assume @p3863 (forall @t5277 (and (=> @t5275 (= @t5274 @t5273)) (=> @t5276 (= @t5274 (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t5269 @t1469 @t5273 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t47 @t5269) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5270 @t5270) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5272 (tptp.tc_fun @t5270 @t5270) @t8) (tptp.c_COMBB @t5269 @t5269 @t47)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5271 @t5272 @t8) (tptp.c_Product__Type_Oprod_Oprod__case @t4514 @t47 @t5269)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5113 @t5271 @t8) (tptp.hAPP (tptp.c_COMBB @t4514 @t5270 @t4514) @t5268)) @t5046)))) (tptp.hAPP @t5267 @t5266)))) @t67)))))) % 6.51/6.71 (assume @p3864 (forall @t365 (= (tptp.c_List_Olistset @t8 (tptp.c_List_Olist_ONil @t55)) @t5256))) % 6.51/6.71 (assume @p3865 (forall @t5280 (= (tptp.hAPP (tptp.hAPP @t4698 @t5050) @t4521) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4764 @t47 @t5191 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t5279 @t5279) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5278 (tptp.tc_fun @t5279 @t5279) @t47) (tptp.c_COMBB @t4764 @t4764 @t4519)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1469 @t5278 @t47) @t5086) @t3928))) @t4699)) @t4521)))) % 6.51/6.71 (assume @p3866 (forall (@list @t4574 @t13 @t616 @t456 @t47 @t8) (= (tptp.hAPP @t5281 (tptp.hAPP (tptp.hAPP @t5063 @t13) @t4574)) (tptp.hAPP @t617 @t4574)))) % 6.51/6.71 (assume @p3867 (forall @t988 (= (tptp.hAPP @t5281 @t5188) @t456))) % 6.51/6.71 (assume @p3868 (forall (@list @t5282 @t51 @t8) (= (tptp.c_List_Olistset @t8 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t55) @t51) @t5282)) (tptp.c_List_Oset__Cons @t8 @t51 (tptp.c_List_Olistset @t8 @t5282))))) % 6.51/6.71 (assume @p3869 (forall (@list @t4521 @t64 @t4522 @t47 @t8) (= (tptp.hAPP @t4699 @t5088) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4764 @t8 @t5191 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5283 @t5283) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5278 (tptp.tc_fun @t5283 @t5283) @t8) (tptp.c_COMBB @t4764 @t4764 @t4514)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1469 @t5278 @t8) @t5086) (tptp.hAPP @t5235 @t64)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4514 @t4519 @t4764) @t4698) @t4521))) @t4522)))) % 6.51/6.71 (assume @p3870 (forall (@list @t77 @t51 @t1 @t2 @t47 @t8 @t106) (=> (tptp.class_Rings_Osemiring__0 @t106) (=> (tptp.c_Fun_Oinj__on @t1469 @t106 (tptp.hAPP @t3985 @t5285) @t5186) (= (tptp.hAPP (tptp.hAPP @t4643 (tptp.hAPP (tptp.hAPP @t1601 @t2) @t51)) (tptp.hAPP (tptp.hAPP @t1602 @t1) @t77)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t106 @t106) (tptp.c_Fun_Oid @t106)) (tptp.hAPP (tptp.c_Set_OCollect @t106) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t106) @t1671) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3938 @t55 @t106) @t1696) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t106 @t3938 @t3938) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5290 (tptp.tc_fun @t3938 @t3938) @t106) @t5173) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5289 @t5290 @t106) (tptp.hAPP (tptp.c_COMBB @t5288 @t716 @t8) @t1605)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3938 @t5289 @t106) (tptp.hAPP (tptp.c_COMBB @t48 @t5288 @t8) @t1604)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t106 @t5287 @t3938) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5286 (tptp.tc_fun @t5287 @t3938) @t106) (tptp.c_COMBB @t1609 @t48 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t778 @t5286 @t106) (tptp.c_COMBB @t106 tptp.tc_HOL_Obool @t47)) tptp.c_fequal))) @t5285))))) @t3906)))))))))) % 6.51/6.71 (assume @p3871 (forall @t4156 (=> (tptp.hBOOL (tptp.hAPP @t5265 @t4155)) (=> (forall @t2959 (=> (tptp.hBOOL (tptp.hAPP @t5265 (tptp.hAPP (tptp.hAPP @t3920 @t2734) @t2248))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2734) @t2248)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t4166) @t2248))) @t3333))) @t4149)))) % 6.51/6.71 (assume @p3872 (forall @t997 (= @t5130 @t5291))) % 6.51/6.71 (assume @p3873 (forall @t997 (= (tptp.c_Product__Type_Omap__pair @t8 @t8 @t47 @t47 @t5293 @t5292) @t5291))) % 6.51/6.71 (assume @p3874 (forall @t365 (= (tptp.hAPP @t4540 @t5293) @t5294))) % 6.51/6.71 (assume @p3875 (forall @t365 (= @t4541 @t5294))) % 6.51/6.71 (assume @p3876 (forall @t134 (= (tptp.hAPP @t5293 @t132) @t132))) % 6.51/6.71 (assume @p3877 (forall (@list @t5218 @t8) (= (tptp.hAPP @t5293 @t5218) @t5218))) % 6.51/6.71 (assume @p3878 (forall @t365 (= (tptp.hAPP @t5296 @t5293) @t5295))) % 6.51/6.71 (assume @p3879 (forall @t365 (= (tptp.hAPP @t5296 @t145) @t5295))) % 6.51/6.71 (assume @p3880 (forall @t1135 (= (tptp.c_Product__Type_Oapsnd @t47 @t47 @t8 @t5292) @t5291))) % 6.51/6.71 (assume @p3881 (forall @t997 (= (tptp.c_Product__Type_Oapfst @t8 @t8 @t47 @t5293) @t5291))) % 6.51/6.71 (assume @p3882 (= @t3177 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 6.51/6.71 (assume @p3883 (forall @t199 (tptp.c_Fun_Oinj__on @t8 @t8 @t5293 @t51))) % 6.51/6.71 (assume @p3884 (forall @t199 (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t8 @t5293) @t51) @t51))) % 6.51/6.71 (assume @p3885 (forall @t4589 (=> (= @t4588 (tptp.hAPP @t5297 @t18)) @t4587))) % 6.51/6.71 (assume @p3886 (forall (@list @t1 @t8 @t47) (= (tptp.hAPP @t5297 @t1) @t1))) % 6.51/6.71 (assume @p3887 (forall @t999 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t47 @t8 @t2) @t5293) @t2))) % 6.51/6.71 (assume @p3888 (forall @t146 (= (tptp.hAPP @t5298 @t144) @t144))) % 6.51/6.71 (assume @p3889 (forall @t365 (= (tptp.hAPP @t5298 @t1407) @t1407))) % 6.51/6.71 (assume @p3890 (forall (@list @t123 @t2 @t47 @t8) (=> @t4648 (= (tptp.hAPP @t123 @t56) @t5292)))) % 6.51/6.71 (assume @p3891 (forall (@list @t2 @t8 @t106 @t47) (= (tptp.c_Product__Type_Oapsnd @t47 @t106 @t8 @t2) (tptp.c_Product__Type_Omap__pair @t8 @t8 @t47 @t106 @t5293 @t2)))) % 6.51/6.71 (assume @p3892 (forall (@list @t2 @t47 @t106 @t8) (= (tptp.c_Product__Type_Oapfst @t8 @t106 @t47 @t2) (tptp.c_Product__Type_Omap__pair @t8 @t106 @t47 @t47 @t2 @t5292)))) % 6.51/6.71 (assume @p3893 (forall @t997 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t47 @t1469) @t3927) @t5291))) % 6.51/6.71 (assume @p3894 (forall @t5299 (=> @t910 (=> @t4455 (= @t880 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t47 @t47) @t5292) @t326)))))) % 6.51/6.71 (assume @p3895 (forall @t5299 (=> @t1712 (=> @t4455 (= @t3079 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t47 @t47) @t5292) @t326)))))) % 6.51/6.71 (assume @p3896 (forall (@list @t51 @t1085 @t47 @t8) (exists @t3317 (and (tptp.c_Fun_Oinj__on @t8 @t4325 @t1715 @t1088) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5220 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t4325 @t1715) @t1088)) (tptp.hAPP (tptp.hAPP @t5204 @t1085) @t51))))))) % 6.51/6.71 (assume @p3897 (forall @t5300 (=> @t4611 (=> @t363 (=> @t952 (= (tptp.hAPP (tptp.hAPP @t4606 (tptp.hAPP (tptp.hAPP @t1611 (tptp.hAPP (tptp.hAPP @t1610 @t4607) @t2)) @t77)) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t1469 @t106) @t3986) @t5159))))))) % 6.51/6.71 (assume @p3898 (forall @t5169 (=> @t5168 (=> @t5006 @t5007)))) % 6.51/6.71 (assume @p3899 (forall @t5300 (=> @t1614 (=> @t363 (=> @t952 (= (tptp.hAPP (tptp.hAPP @t1601 (tptp.hAPP @t1612 @t77)) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1469 @t106) @t3986) @t5159))))))) % 6.51/6.71 (assume @p3900 (forall (@list @t1 @t77 @t47 @t51 @t8 @t106) (=> @t4611 (=> @t363 (=> @t952 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4644 (tptp.hAPP (tptp.hAPP @t1611 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t106 @t1608) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1609 (tptp.tc_fun @t106 @t1608) @t8) @t4645) @t1)) @t5301)) @t77)) @t5301) @t51) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t106 @t1469 @t4643) (tptp.hAPP @t3985 @t1)) @t5301) @t5159))))))) % 6.51/6.71 (assume @p3901 (forall (@list @t61 @t337 @t4521 @t47 @t4522 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t4770) @t4774)) (= (tptp.c_Map_Omap__upds @t8 @t47 @t337 @t5304 @t4521) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t694 @t4886) @t61) (tptp.hAPP @t618 (tptp.hAPP @t4805 @t4770))))))) % 6.51/6.71 (assume @p3902 (forall (@list @t64 @t4521 @t61 @t4522 @t8) (= (= @t5304 @t5307) (and @t4523 @t222)))) % 6.51/6.71 (assume @p3903 (forall (@list @t4719 @t4521 @t4522 @t61 @t8) (= (= @t5050 @t5313) (or (and @t5312 (= @t5050 @t4719)) (exists @t5311 (and (= @t5310 @t4521) (= @t4522 @t5309))))))) % 6.51/6.71 (assume @p3904 (forall (@list @t4522 @t61 @t4719 @t4521 @t8) (= (= @t5313 @t5050) (or (and @t5312 (= @t4719 @t5050)) (exists @t5311 (and (= @t4521 @t5310) (= @t5309 @t4522))))))) % 6.51/6.71 (assume @p3905 (forall (@list @t4713 @t4704 @t4703 @t5315 @t132 @t8) (=> (= (tptp.hAPP @t5067 @t5315) @t4703) (=> (= @t4704 (tptp.hAPP @t5316 @t4713)) (= @t5068 @t5314))))) % 6.51/6.71 (assume @p3906 (forall @t5319 (= (tptp.hAPP (tptp.hAPP @t5302 @t5068) @t4703) (tptp.hAPP @t5067 @t5318)))) % 6.51/6.71 (assume @p3907 (forall (@list @t51 @t4521 @t4522 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5055 @t5321) @t5150)) (and @t5152 (tptp.hBOOL (tptp.hAPP @t5320 @t5150)))))) % 6.51/6.71 (assume @p3908 (forall @t5322 (= (tptp.hAPP @t4553 @t5321) @t4614))) % 6.51/6.71 (assume @p3909 (forall (@list @t13 @t4521 @t4522 @t2 @t8 @t47) (= (tptp.c_List_Ofoldr @t47 @t8 @t2 @t5324 @t13) (tptp.c_List_Ofoldr @t47 @t8 @t2 @t4522 (tptp.c_List_Ofoldr @t47 @t8 @t2 @t4521 @t13))))) % 6.51/6.71 (assume @p3910 (forall (@list @t5325 @t4703 @t4713 @t5315 @t4704 @t8) (=> (= (tptp.hAPP @t5317 @t5315) @t4713) (=> (= @t4703 (tptp.hAPP @t5316 @t5325)) (= @t5318 (tptp.hAPP (tptp.hAPP @t5302 @t4713) @t5325)))))) % 6.51/6.71 (assume @p3911 (forall (@list @t4719 @t4522 @t4521 @t8) (= (= (tptp.hAPP @t5306 @t4522) (tptp.hAPP @t5326 @t4522)) @t4773))) % 6.51/6.71 (assume @p3912 (forall @t5328 (= (= @t5321 @t5327) @t4773))) % 6.51/6.71 (assume @p3913 (forall (@list @t27 @t4719 @t4521 @t4522 @t8) (= (= @t5321 (tptp.hAPP @t5326 @t27)) (exists (@list @t5329) (or (and (= @t4522 (tptp.hAPP @t5326 @t5329)) (= (tptp.hAPP @t5330 @t4521) @t27)) (and (= (tptp.hAPP @t5303 @t5329) @t4719) (= @t4521 (tptp.hAPP @t5330 @t27)))))))) % 6.51/6.71 (assume @p3914 (forall (@list @t4713 @t4703 @t4704 @t8) (= (tptp.hAPP (tptp.hAPP @t5302 @t5318) @t4713) (tptp.hAPP @t5317 @t5314)))) % 6.51/6.71 (assume @p3915 (forall @t5319 (= (tptp.hAPP @t4768 @t5318) (tptp.hAPP (tptp.hAPP @t5302 @t4769) (tptp.hAPP @t4768 @t4703))))) % 6.51/6.71 (assume @p3916 (forall @t4626 (= (tptp.hAPP @t2254 (tptp.hAPP (tptp.hAPP @t5331 @t4522) @t4521)) (tptp.c_Map_Omap__add @t8 @t47 @t4623 @t4624)))) % 6.51/6.71 (assume @p3917 (forall @t4767 (= (tptp.hAPP @t4752 @t5318) @t5333))) % 6.51/6.71 (assume @p3918 (forall (@list @t5334 @t4703 @t5325 @t47 @t4704 @t8) (=> (= @t4762 (tptp.hAPP @t4750 @t5325)) (=> (= @t4766 (tptp.hAPP @t4750 @t5334)) (= (tptp.hAPP @t5336 (tptp.hAPP (tptp.hAPP @t5323 @t5325) @t5334)) (tptp.hAPP (tptp.hAPP @t5331 (tptp.hAPP @t4705 @t5325)) (tptp.hAPP @t5335 @t5334))))))) % 6.51/6.71 (assume @p3919 (forall @t5338 (=> @t4775 (= (tptp.c_Map_Omap__upds @t8 @t47 @t337 @t4522 (tptp.hAPP @t5337 @t4719)) @t4886)))) % 6.51/6.71 (assume @p3920 (forall @t5338 (=> @t4775 (= (tptp.c_Map_Omap__upds @t8 @t47 @t337 @t5327 @t4521) @t4886)))) % 6.51/6.71 (assume @p3921 (forall @t4767 (=> @t2121 (= (tptp.hAPP @t4884 @t5318) (tptp.hAPP (tptp.hAPP @t928 @t5072) (tptp.hAPP @t4884 @t4703)))))) % 6.51/6.71 (assume @p3922 (forall @t4533 (= (tptp.hAPP @t4529 @t5324) (tptp.hAPP (tptp.hAPP @t5302 @t4531) @t4530)))) % 6.51/6.71 (assume @p3923 (forall @t5342 (and (=> @t5340 (= @t5339 @t5033)) (=> @t5341 (= @t5339 (tptp.hAPP @t5317 (tptp.c_List_Obutlast @t8 @t4703))))))) % 6.51/6.71 (assume @p3924 (forall @t5344 (= @t5343 @t4703))) % 6.51/6.71 (assume @p3925 (forall @t5322 (= (= @t5157 @t5321) @t5345))) % 6.51/6.71 (assume @p3926 (forall @t5037 (= (tptp.hAPP @t5317 @t5157) @t4704))) % 6.51/6.71 (assume @p3927 (forall (@list @t4521 @t8 @t4522) (= (= @t4522 @t5321) @t5312))) % 6.51/6.71 (assume @p3928 (forall (@list @t4522 @t8 @t4521) (= (= @t4521 @t5321) @t5161))) % 6.51/6.71 (assume @p3929 (forall @t5322 (= (= @t5321 @t5157) @t5345))) % 6.51/6.71 (assume @p3930 (forall @t5322 (= (= @t5321 @t4522) @t5312))) % 6.51/6.71 (assume @p3931 (forall @t5322 (= (= @t5321 @t4521) @t5161))) % 6.51/6.71 (assume @p3932 (forall (@list @t8 @t4703 @t4704) (=> @t4765 (= @t4704 @t5343)))) % 6.51/6.71 (assume @p3933 (forall (@list @t4703 @t132 @t4704 @t8) (= (tptp.hAPP (tptp.hAPP @t4806 @t5346) @t4762) @t132))) % 6.51/6.71 (assume @p3934 (forall (@list @t1153 @t4703 @t4704 @t8) (= (tptp.hAPP @t5347 (tptp.hAPP @t5332 @t1153)) (tptp.hAPP @t5044 @t1153)))) % 6.51/6.71 (assume @p3935 (forall @t5350 (= (tptp.hAPP @t4931 @t5318) (tptp.hAPP @t5349 (tptp.hAPP (tptp.hAPP @t4927 @t5348) @t4703))))) % 6.51/6.71 (assume @p3936 (forall (@list @t132 @t4703 @t4704 @t8 @t1165) (=> @t4815 (= (tptp.hAPP (tptp.hAPP @t5351 @t1165) @t132) (tptp.hAPP (tptp.hAPP @t5302 @t4864) @t4703))))) % 6.51/6.71 (assume @p3937 (forall (@list @t210 @t4703 @t132 @t4704 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5346) @t4762) @t210) (tptp.hAPP @t5317 @t5352)))) % 6.51/6.71 (assume @p3938 (forall @t5354 (and (=> @t4701 (= @t5353 (tptp.hAPP (tptp.hAPP @t5302 @t4694) @t4521))) (=> @t4702 (= @t5353 (tptp.hAPP @t5303 (tptp.c_List_Oremove1 @t8 @t61 @t4521))))))) % 6.51/6.71 (assume @p3939 (forall @t5354 (=> (or @t5032 (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP @t4553 @t5355)))) (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP @t4553 (tptp.c_List_Obutlast @t8 @t5321))))))) % 6.51/6.71 (assume @p3940 (forall @t4711 (= (tptp.c_List_Obutlast @t8 @t5356) @t4704))) % 6.51/6.71 (assume @p3941 (forall (@list @t5357 @t5358 @t1449 @t4521 @t4522 @t8) (=> (or (and @t5023 (= @t5358 @t5357)) (and @t4523 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4956 @t5358) @t5357)) @t5019)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4956 @t5359) (tptp.hAPP @t5306 @t5357))) @t5019))))) % 6.51/6.71 (assume @p3942 (forall (@list @t61 @t1449 @t1865 @t1137 @t8) (=> @t5362 @t5361))) % 6.51/6.71 (assume @p3943 (forall @t5322 (= (tptp.hBOOL (tptp.hAPP @t4672 @t5321)) (and @t4696 @t5363 (= (tptp.hAPP (tptp.hAPP @t729 @t4554) @t4613) @t56))))) % 6.51/6.71 (assume @p3944 (forall (@list @t4703 @t4704 @t8 @t1153) (and (=> @t5034 (= @t5364 @t5074)) (=> @t5365 (= @t5364 (tptp.hAPP @t5044 @t5348)))))) % 6.51/6.71 (assume @p3945 (forall (@list @t132 @t4703 @t4704 @t8 @t1153) (and (=> @t5034 (= @t5366 (tptp.hAPP (tptp.hAPP @t5302 (tptp.hAPP (tptp.hAPP @t4862 @t1153) @t132)) @t4703))) (=> @t5365 (= @t5366 (tptp.hAPP @t5317 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t4703) @t5348) @t132))))))) % 6.51/6.71 (assume @p3946 (forall (@list @t51 @t5367 @t1653 @t8) (= (tptp.c_List_Osublist @t8 (tptp.hAPP (tptp.hAPP @t5302 @t1653) @t5367) @t51) (tptp.hAPP (tptp.hAPP @t5302 (tptp.c_List_Osublist @t8 @t1653 @t51)) (tptp.c_List_Osublist @t8 @t5367 (tptp.hAPP @t1426 (tptp.hAPP (tptp.hAPP @t2323 (tptp.hAPP @t2328 (tptp.hAPP @t2828 (tptp.hAPP @t4752 @t1653)))) @t51))))))) % 6.51/6.71 (assume @p3947 (forall (@list @t4521 @t5357 @t5358 @t4522 @t1449 @t64 @t61 @t8) (=> @t4414 (=> (= @t4522 (tptp.hAPP @t5368 (tptp.hAPP @t5049 @t5357))) (=> (= @t4521 (tptp.hAPP @t5368 (tptp.hAPP @t5047 @t5357))) @t5023))))) % 6.51/6.71 (assume @p3948 (forall (@list @t64 @t61 @t1137 @t1449 @t109 @t13 @t8) (=> @t4402 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4956 (tptp.hAPP @t5369 @t5107)) (tptp.hAPP @t5369 @t5106))) @t4955))))) % 6.51/6.71 (assume @p3949 (forall @t5372 (=> @t4815 (= (tptp.hAPP (tptp.hAPP @t4927 @t1788) @t4704) (tptp.hAPP @t5371 (tptp.hAPP @t5370 @t5157)))))) % 6.51/6.71 (assume @p3950 (forall (@list @t1449 @t64 @t4521 @t61 @t4522 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4956 @t5304) @t5307)) @t5019)) (or (and @t5023 @t222) (and @t4523 @t4414))))) % 6.51/6.71 (assume @p3951 (forall (@list @t51 @t1653 @t61 @t8) (= (tptp.c_List_Osublist @t8 @t5373 @t51) (tptp.hAPP (tptp.hAPP @t5302 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t4514) @t5254) @t5210) @t5157)) (tptp.c_List_Osublist @t8 @t1653 (tptp.hAPP @t1426 (tptp.hAPP @t2329 @t51))))))) % 6.51/6.71 (assume @p3952 (forall @t4971 (=> @t5023 (not (forall @t503 (=> @t4444 (forall @t5375 (=> (= @t4522 (tptp.hAPP @t5330 (tptp.hAPP @t5124 @t5374))) (not (= @t4521 (tptp.hAPP @t5330 (tptp.hAPP @t5145 @t5374)))))))))))) % 6.51/6.71 (assume @p3953 (forall @t954 (=> @t363 (=> @t952 (= (tptp.hAPP @t5193 @t5159) (tptp.hAPP (tptp.hAPP @t860 (tptp.hAPP @t1661 @t77)) @t51)))))) % 6.51/6.71 (assume @p3954 (forall (@list @t1449 @t1865 @t1137 @t61 @t8) (=> @t5361 (=> (forall @t1286 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t5025 @t476)) @t1449)))) @t5362)))) % 6.51/6.71 (assume @p3955 (forall @t4542 (= @t5379 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4514 @t8 @t5157 (tptp.hAPP (tptp.hAPP @t5377 @t5376) @t5263)) @t4522)))) % 6.51/6.71 (assume @p3956 (forall @t4542 (= (tptp.hAPP @t4553 @t5379) @t4554))) % 6.51/6.71 (assume @p3957 (forall @t4542 (= (tptp.hBOOL (tptp.hAPP @t4672 @t5379)) @t4696))) % 6.51/6.71 (assume @p3958 (forall @t5037 (= (tptp.hAPP @t4752 @t5380) @t4762))) % 6.51/6.71 (assume @p3959 (forall @t4542 (= (= @t5379 @t5157) @t5161))) % 6.51/6.71 (assume @p3960 (forall (@list @t4704 @t132 @t47 @t8) (and (= (tptp.hAPP @t5378 @t5157) @t5157) (= (tptp.hAPP (tptp.c_List_Orotate1 @t47) (tptp.hAPP @t5381 @t4704)) (tptp.hAPP (tptp.hAPP @t5323 @t4704) (tptp.hAPP @t5381 @t5188)))))) % 6.51/6.71 (assume @p3961 (forall @t5037 (=> @t5382 (= @t5380 @t4704)))) % 6.51/6.71 (assume @p3962 (forall @t954 (=> @t363 (=> @t1287 (tptp.hBOOL (tptp.hAPP @t1472 @t5159)))))) % 6.51/6.71 (assume @p3963 (forall (@list @t255 @t4704 @t8 @t1165) (=> @t4815 (= (tptp.hAPP @t4863 @t255) (tptp.hAPP @t5371 (tptp.hAPP @t5099 @t5384)))))) % 6.51/6.71 (assume @p3964 (forall @t2492 (= (tptp.hAPP @t5385 @t5157) @t5157))) % 6.51/6.71 (assume @p3965 (forall @t4945 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t5388) @t4554)))) % 6.51/6.71 (assume @p3966 (forall @t4946 (=> (tptp.hBOOL (tptp.hAPP @t155 @t5388)) @t4701))) % 6.51/6.71 (assume @p3967 (forall @t4939 (= @t5391 @t5390))) % 6.51/6.71 (assume @p3968 (forall @t4939 (= @t5390 @t5391))) % 6.51/6.71 (assume @p3969 (forall @t4942 (= (tptp.hAPP @t5386 @t4531) (tptp.hAPP @t4529 (tptp.hAPP @t5393 @t4522))))) % 6.51/6.71 (assume @p3970 (forall @t4866 (=> @t4708 (tptp.hBOOL (tptp.hAPP @t4672 @t5395))))) % 6.51/6.71 (assume @p3971 (forall @t5037 (= (tptp.hAPP (tptp.hAPP @t5383 @t2094) @t4704) @t4704))) % 6.51/6.71 (assume @p3972 (forall @t4935 (= (tptp.hAPP @t5385 @t5397) (tptp.hAPP (tptp.hAPP @t5383 @t1158) @t4704)))) % 6.51/6.71 (assume @p3973 (forall @t4933 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t1469) @t1153) @t4706) (tptp.hAPP (tptp.hAPP @t4698 @t5389) (tptp.hAPP (tptp.hAPP @t5392 @t1153) @t4703))))) % 6.51/6.71 (assume @p3974 (forall @t4935 (= (tptp.hAPP @t4931 @t5397) (tptp.hAPP @t5396 (tptp.hAPP (tptp.hAPP @t4927 @t1158) @t4704))))) % 6.51/6.71 (assume @p3975 (forall @t4935 (= (tptp.hAPP @t5385 @t4934) (tptp.hAPP (tptp.hAPP @t4927 @t1171) @t5389)))) % 6.51/6.71 (assume @p3976 (forall @t4939 (= (tptp.hAPP @t4752 @t5389) (tptp.hAPP @t5035 @t1153)))) % 6.51/6.71 (assume @p3977 (forall (@list @t4703 @t210 @t4704 @t1153 @t8) (=> (= @t5389 @t5352) (= @t5074 @t210)))) % 6.51/6.71 (assume @p3978 (forall @t5085 (= (tptp.hAPP @t5398 @t5068) @t5389))) % 6.51/6.71 (assume @p3979 (forall @t5073 (= (tptp.hAPP (tptp.hAPP @t5383 @t1615) @t5068) @t4704))) % 6.51/6.71 (assume @p3980 (forall @t4939 (= (tptp.hAPP @t5349 @t5389) @t4704))) % 6.51/6.71 (assume @p3981 (forall (@list @t4522 @t8 @t337 @t692) (=> @t1804 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t4553 (tptp.hAPP (tptp.hAPP @t5383 @t337) @t4522))) @t5388))))) % 6.51/6.71 (assume @p3982 (forall @t4948 (=> @t4947 (= @t5389 @t5157)))) % 6.51/6.71 (assume @p3983 (forall @t4945 (= (= @t5387 @t5157) (tptp.hBOOL (tptp.hAPP @t4909 @t692))))) % 6.51/6.71 (assume @p3984 (forall @t5350 (= (tptp.hAPP @t5385 @t5318) (tptp.hAPP (tptp.hAPP @t5302 @t5389) (tptp.hAPP (tptp.hAPP @t5383 @t5348) @t4703))))) % 6.51/6.71 (assume @p3985 (forall @t5328 (= (= @t5321 @t4719) (and (= @t4522 (tptp.hAPP (tptp.hAPP @t4927 @t4770) @t4719)) (= @t4521 (tptp.hAPP (tptp.hAPP @t5383 @t4770) @t4719)))))) % 6.51/6.71 (assume @p3986 (forall @t5250 (= (tptp.hAPP @t5386 @t5050) (tptp.c_Nat_Onat_Onat__case @t4514 @t5050 (tptp.hAPP (tptp.hAPP @t5249 @t5383) @t4522) @t692)))) % 6.51/6.71 (assume @p3987 (forall @t5101 (and (=> @t2142 (= @t5399 @t5068)) (=> @t2143 (= @t5399 (tptp.hAPP (tptp.hAPP @t5383 @t2345) @t4704)))))) % 6.51/6.71 (assume @p3988 (forall (@list @t4704 @t8 @t1165 @t1153) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t5400) @t4762)) (= (tptp.hAPP (tptp.hAPP @t4806 @t5389) @t1165) (tptp.hAPP @t4813 @t5400))))) % 6.51/6.71 (assume @p3989 (forall (@list @t5401 @t5404 @t5402 @t5403 @t8) (= (= (tptp.hAPP (tptp.hAPP @t5302 @t5403) @t5402) (tptp.hAPP (tptp.hAPP @t5302 @t5404) @t5401)) (and (=> @t5407 (and (= @t5403 (tptp.hAPP (tptp.hAPP @t4927 @t5406) @t5404)) (= @t5402 (tptp.hAPP (tptp.hAPP @t5302 (tptp.hAPP (tptp.hAPP @t5383 @t5406) @t5404)) @t5401)))) (=> (not @t5407) (and (= (tptp.hAPP (tptp.hAPP @t4927 @t5405) @t5403) @t5404) (= (tptp.hAPP (tptp.hAPP @t5302 (tptp.hAPP (tptp.hAPP @t5383 @t5405) @t5403)) @t5402) @t5401))))))) % 6.51/6.71 (assume @p3990 (forall @t5372 (=> @t4815 (= @t5408 @t5395)))) % 6.51/6.71 (assume @p3991 (forall @t5104 (and (=> @t3673 (= @t5409 @t5068)) (=> @t5103 (= @t5409 (tptp.hAPP (tptp.hAPP @t5383 @t3504) @t4704)))))) % 6.51/6.71 (assume @p3992 (forall (@list @t4704 @t8 @t1162 @t1165) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1243) @t4762)) (= (tptp.hAPP (tptp.hAPP @t4927 @t1243) @t4704) (tptp.hAPP @t5371 (tptp.hAPP (tptp.hAPP @t4927 @t1162) @t5395)))))) % 6.51/6.71 (assume @p3993 (forall @t5410 (= (tptp.hAPP @t5336 @t4713) (tptp.hAPP (tptp.hAPP @t5331 (tptp.hAPP @t4705 (tptp.hAPP (tptp.hAPP @t4930 @t4762) @t4713))) (tptp.hAPP @t5335 (tptp.hAPP (tptp.hAPP @t5392 @t4762) @t4713)))))) % 6.51/6.71 (assume @p3994 (forall @t5410 (= (tptp.hAPP @t4705 (tptp.hAPP (tptp.hAPP @t5323 @t4703) @t4713)) (tptp.hAPP (tptp.hAPP @t5331 (tptp.hAPP (tptp.hAPP @t4698 (tptp.hAPP (tptp.hAPP @t4927 @t4761) @t4704)) @t4703)) (tptp.hAPP (tptp.hAPP @t4698 (tptp.hAPP (tptp.hAPP @t5383 @t4761) @t4704)) @t4713))))) % 6.51/6.71 (assume @p3995 (forall @t5372 (=> @t4815 (= @t4704 (tptp.hAPP @t5371 @t5408))))) % 6.51/6.71 (assume @p3996 (forall @t5029 (=> @t5034 (= (tptp.hAPP @t5349 (tptp.hAPP (tptp.hAPP @t5046 @t5413) @t5157)) @t5411)))) % 6.51/6.71 (assume @p3997 (forall @t5414 (=> @t5202 (=> @t5034 (= @t5413 @t5074))))) % 6.51/6.71 (assume @p3998 (forall @t5073 (= (tptp.hAPP @t5412 @t5068) @t132))) % 6.51/6.71 (assume @p3999 (forall @t5416 (=> @t5221 (= (tptp.hAPP (tptp.c_List_Ohd @t47) @t4525) (tptp.hAPP @t2 @t5415))))) % 6.51/6.71 (assume @p4000 (forall @t5420 (and (=> @t5201 (= @t5418 (tptp.hAPP @t5412 @t4703))) @t5419))) % 6.51/6.71 (assume @p4001 (forall @t5420 @t5419)) % 6.51/6.71 (assume @p4002 (forall @t5421 (=> @t5221 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t5415) @t4554))))) % 6.51/6.71 (assume @p4003 (forall @t5216 (=> @t5202 (= @t5417 (tptp.hAPP @t4813 @t2094))))) % 6.51/6.71 (assume @p4004 (forall @t5216 (=> @t5202 (= @t5380 (tptp.hAPP @t5425 (tptp.hAPP @t5422 @t5157)))))) % 6.51/6.71 (assume @p4005 (forall @t5414 (=> @t5202 (= (tptp.hAPP @t5412 @t5428) (tptp.hAPP @t4813 @t5426))))) % 6.51/6.71 (assume @p4006 (forall @t4939 (= @t5430 @t5429))) % 6.51/6.71 (assume @p4007 (forall @t4939 (= @t5429 @t5430))) % 6.51/6.71 (assume @p4008 (forall @t4939 (= @t5431 (tptp.hAPP @t5427 @t5380)))) % 6.51/6.71 (assume @p4009 (forall @t4945 (= (= @t5433 @t5157) @t5161))) % 6.51/6.71 (assume @p4010 (forall @t365 (= (tptp.hAPP @t5423 @t5157) @t5157))) % 6.51/6.71 (assume @p4011 (forall @t4942 (= (tptp.hAPP @t5432 @t4531) (tptp.hAPP @t4529 (tptp.hAPP (tptp.c_List_Orotate @t47 @t692) @t4522))))) % 6.51/6.71 (assume @p4012 (forall @t5030 (= (tptp.hAPP @t4529 (tptp.hAPP (tptp.c_List_Otl @t47) @t4522)) (tptp.hAPP @t5423 @t4531)))) % 6.51/6.71 (assume @p4013 (forall @t4939 (= (tptp.hAPP @t4752 @t5428) @t4762))) % 6.51/6.71 (assume @p4014 (forall @t5037 (=> @t4708 (tptp.hBOOL (tptp.hAPP @t4672 @t5424))))) % 6.51/6.71 (assume @p4015 (forall @t4945 (= (tptp.hBOOL (tptp.hAPP @t4672 @t5433)) @t4696))) % 6.51/6.71 (assume @p4016 (forall (@list @t4704 @t1153 @t1152 @t8) (= (tptp.hAPP (tptp.c_List_Orotate @t8 @t1152) @t5428) (tptp.hAPP (tptp.c_List_Orotate @t8 @t1155) @t4704)))) % 6.51/6.71 (assume @p4017 (forall @t4945 (= (tptp.hAPP @t4553 @t5433) @t4554))) % 6.51/6.71 (assume @p4018 (forall @t5073 (= (tptp.hAPP @t5423 @t5068) @t4704))) % 6.51/6.71 (assume @p4019 (forall @t5420 (=> @t5202 (= (tptp.hAPP @t5423 @t5318) (tptp.hAPP @t5425 @t4703))))) % 6.51/6.71 (assume @p4020 (forall @t4939 (= @t5434 (tptp.hAPP @t5423 @t5411)))) % 6.51/6.71 (assume @p4021 (forall @t4939 (= @t5428 (tptp.hAPP (tptp.c_List_Orotate @t8 @t5426) @t4704)))) % 6.51/6.71 (assume @p4022 (forall @t4939 (= (tptp.hAPP @t5398 @t4704) @t5429))) % 6.51/6.71 (assume @p4023 (forall @t4939 (= (tptp.hAPP (tptp.c_List_Orotate @t8 @t1716) @t4704) @t5431))) % 6.51/6.71 (assume @p4024 (forall @t5322 (= (tptp.hAPP @t5423 @t5321) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4514 @t8 (tptp.hAPP @t5423 @t4521) (tptp.hAPP (tptp.c_COMBK @t5113 @t8) (tptp.hAPP @t5376 @t4521))) @t4522)))) % 6.51/6.71 (assume @p4025 (forall @t365 (= (tptp.c_List_Orotate @t8 @t2094) @t5294))) % 6.51/6.71 (assume @p4026 (forall @t2404 (= (tptp.c_List_Orotate @t8 @t2148) (tptp.hAPP (tptp.c_Fun_Ocomp @t4514 @t4514 @t4514 (tptp.c_List_Orotate @t8 @t337)) @t5432)))) % 6.51/6.71 (assume @p4027 (forall @t5029 (=> (= @t5426 @t2094) @t5435))) % 6.51/6.71 (assume @p4028 (forall @t4948 (=> @t5382 @t5435))) % 6.51/6.71 (assume @p4029 (forall @t5037 (= (tptp.hAPP @t4752 @t5424) @t5036))) % 6.51/6.71 (assume @p4030 (forall @t4939 (= (tptp.hAPP @t5423 @t4932) (tptp.hAPP @t5027 @t5424)))) % 6.51/6.71 (assume @p4031 (forall @t5414 (=> @t5202 (= @t5411 (tptp.hAPP @t5422 @t5434))))) % 6.51/6.71 (assume @p4032 (forall @t4939 (= @t5428 (tptp.hAPP (tptp.hAPP @t5302 (tptp.hAPP (tptp.hAPP @t5383 @t5426) @t4704)) (tptp.hAPP (tptp.hAPP @t4927 @t5426) @t4704))))) % 6.51/6.71 (assume @p4033 (forall @t4542 (=> @t1728 (=> @t5221 (= (tptp.hAPP @t2061 @t4554) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t1725 @t5415) (tptp.hAPP @t5423 @t4522))))))) % 6.51/6.71 (assume @p4034 (forall (@list @t1449 @t61 @t8 @t64) (=> (exists (@list @t2356 @t2085) (= @t64 (tptp.hAPP (tptp.hAPP @t5046 @t2356) @t2085))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t4957 (tptp.hAPP @t5360 @t64))) @t4955))))) % 6.51/6.71 (assume @p4035 (forall (@list @t4521 @t4522 @t13 @t2 @t47 @t8) (= (tptp.hAPP @t5436 @t5324) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t47 @t2 @t5437) @t4521)))) % 6.51/6.71 (assume @p4036 (forall (@list @t4522 @t61 @t13 @t2 @t47 @t8) (= (tptp.hAPP @t5436 @t5065) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t47 @t2 (tptp.hAPP @t80 @t61)) @t4522)))) % 6.51/6.71 (assume @p4037 (forall (@list @t13 @t4522 @t8) (=> @t936 (= (tptp.c_List_Ofoldr @t8 @t8 @t928 @t4522 @t13) @t5438)))) % 6.51/6.71 (assume @p4038 (forall (@list @t4719 @t61 @t8) (=> @t2121 (= (tptp.hAPP @t2183 (tptp.hAPP @t5439 @t4719)) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t928 @t61) @t4719))))) % 6.51/6.71 (assume @p4039 (forall @t5440 (=> (tptp.class_Groups_Osemigroup__add @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t928 @t2184) @t4719) (tptp.hAPP @t2183 (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t928 @t64) @t4719)))))) % 6.51/6.71 (assume @p4040 (forall (@list @t4522 @t2 @t106 @t13 @t1 @t47 @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t47 @t1 @t13) @t4659) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t106 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t2089 @t779) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 (tptp.tc_fun @t2089 @t779) @t8) @t107) @t1)) @t2) @t13) @t4522)))) % 6.51/6.71 (assume @p4041 (forall (@list @t4887 @t692 @t337) (=> @t1208 (tptp.hBOOL (tptp.hAPP @t1207 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1000 @t692) @t4887)))))) % 6.51/6.71 (assume @p4042 (forall @t4505 (= (tptp.hAPP @t5436 @t5188) @t13))) % 6.51/6.71 (assume @p4043 (forall @t365 (=> @t2121 (= @t4884 @t5439)))) % 6.51/6.71 (assume @p4044 (forall @t5442 (=> @t2121 (= @t5438 (tptp.hAPP @t937 @t5441))))) % 6.51/6.71 (assume @p4045 (forall @t4542 (=> @t2121 (= (tptp.hAPP @t5439 @t4522) @t5441)))) % 6.51/6.71 (assume @p4046 (forall (@list @t4887 @t337) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1000 @t337) @t4887) @t2094) (and @t2147 @t4890)))) % 6.51/6.71 (assume @p4047 (forall @t5445 (=> @t669 (= @t5444 (tptp.hAPP @t5443 @t4522))))) % 6.51/6.71 (assume @p4048 (forall @t4542 (=> @t1129 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t4554) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t389 @t73) @t4522))))) % 6.51/6.71 (assume @p4049 (forall @t4542 (=> @t1129 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t4554) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t745 @t1384) @t4522))))) % 6.51/6.71 (assume @p4050 (forall @t4715 (=> @t390 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t5092) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t389 @t61) @t4522))))) % 6.51/6.71 (assume @p4051 (forall @t4715 (=> @t390 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t5092) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t745 @t61) @t4522))))) % 6.51/6.71 (assume @p4052 (forall @t4715 (=> @t214 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t5092) @t5446)))) % 6.51/6.71 (assume @p4053 (forall @t4715 (=> @t214 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t5092) @t5447)))) % 6.51/6.71 (assume @p4054 (forall @t4715 (=> @t214 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1926 @t5092) @t5446)))) % 6.51/6.71 (assume @p4055 (forall @t4715 (=> @t214 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t1930 @t5092) @t5447)))) % 6.51/6.71 (assume @p4056 (forall @t5448 (=> @t1129 (= (tptp.hAPP (tptp.hAPP @t1124 @t4564) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t47 (tptp.hAPP @t1832 (tptp.hAPP (tptp.hAPP @t770 @t389) @t2)) @t73) @t4522))))) % 6.51/6.71 (assume @p4057 (forall @t5448 (=> @t1129 (= (tptp.hAPP (tptp.hAPP @t1456 @t4564) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t47 (tptp.hAPP @t1832 (tptp.hAPP (tptp.hAPP @t770 @t745) @t2)) @t1384) @t4522))))) % 6.51/6.71 (assume @p4058 (forall (@list @t5357 @t4601 @t337 @t47 @t8) (= (tptp.c_Map_Omap__upds @t8 @t47 @t337 @t4601 @t5357) (tptp.hAPP (tptp.c_List_Ofoldl @t4232 @t1469 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5452 (tptp.tc_fun @t1469 @t4232) @t4232) (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t47 @t4232)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4232 @t4237 @t5452) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5451 (tptp.tc_fun @t4237 @t5452) @t4232) (tptp.c_COMBC @t8 @t4237 @t5449)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t8 @t4233) @t5451 @t4232) (tptp.hAPP (tptp.c_COMBB @t4233 @t5450 @t8) (tptp.c_COMBB @t693 @t4232 @t47))) @t694))) @t618)) @t337) (tptp.hAPP (tptp.hAPP @t4698 @t4601) @t5357))))) % 6.51/6.71 (assume @p4059 (forall (@list @t4887 @t692) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1634 @t692) @t4889)) (tptp.hBOOL (tptp.hAPP @t1803 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1000 @t2094) @t4887)))))) % 6.51/6.71 (assume @p4060 (forall (@list @t1449 @t64 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t5162 @t64)) @t4955)) (exists (@list @t476 @t3) (= @t64 (tptp.hAPP @t5453 @t3)))))) % 6.51/6.71 (assume @p4061 (forall (@list @t132 @t1161 @t8 @t4704) (=> @t5202 (and (=> @t5041 (= @t5455 @t132)) (=> @t5042 (= @t5455 @t5454)))))) % 6.51/6.71 (assume @p4062 (forall @t5078 (and @t5458 @t5457))) % 6.51/6.71 (assume @p4063 (forall @t5078 @t5457)) % 6.51/6.71 (assume @p4064 (forall @t5078 @t5458)) % 6.51/6.71 (assume @p4065 (forall @t5416 (=> @t5221 (= (tptp.c_List_Olast @t47 @t4525) (tptp.hAPP @t2 @t5459))))) % 6.51/6.71 (assume @p4066 (forall @t5342 @t5461)) % 6.51/6.71 (assume @p4067 (forall @t5342 @t5462)) % 6.51/6.71 (assume @p4068 (forall @t5342 (and @t5461 @t5462))) % 6.51/6.71 (assume @p4069 (forall (@list @t8 @t4912) (=> (not (= @t4912 @t5157)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 (tptp.c_List_Olast @t8 @t4912)) @t4914))))) % 6.51/6.71 (assume @p4070 (forall @t4711 (= (tptp.c_List_Olast @t8 @t5356) @t132))) % 6.51/6.71 (assume @p4071 (forall @t5029 (=> @t5034 (= (tptp.c_List_Olast @t8 @t5389) @t5454)))) % 6.51/6.71 (assume @p4072 (forall @t5216 (=> @t5202 (= (tptp.hAPP (tptp.hAPP @t5302 @t5033) (tptp.hAPP (tptp.hAPP @t5046 @t5454) @t5157)) @t4704)))) % 6.51/6.71 (assume @p4073 (forall (@list @t4521 @t61 @t4522 @t8) (= (= @t5304 @t4521) (and (not @t5312) (= @t5355 @t4522) (= (tptp.c_List_Olast @t8 @t4521) @t61))))) % 6.51/6.71 (assume @p4074 (forall @t5216 (=> @t5202 (= @t5454 (tptp.hAPP @t4813 @t5036))))) % 6.51/6.71 (assume @p4075 (forall @t91 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5055 @t13) @t5150)) (or @t5464 (exists (@list @t476 @t5463) (and (= @t13 (tptp.hAPP @t5453 @t5463)) @t480 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5055 @t5463) @t5150)))))))) % 6.51/6.71 (assume @p4076 (forall (@list @t5465 @t47 @t4522 @t8) (= (tptp.hAPP (tptp.hAPP @t1982 @t4832) (tptp.c_List_Ofoldr @t4519 tptp.tc_Nat_Onat (tptp.hAPP @t5467 @t4750) @t5465 @t2094)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1982 @t4770) (tptp.c_List_Ofoldr @t4519 tptp.tc_Nat_Onat (tptp.hAPP @t5467 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4519 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t5466 @t864) @t4750)) @t2095)) (tptp.hAPP (tptp.c_List_Ofilter @t4519 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4519) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4519 @t4519 tptp.tc_HOL_Obool) tptp.c_fequal) @t5188))) @t5465) @t2094)))))) % 6.51/6.71 (assume @p4077 (forall @t5471 (= (tptp.hAPP @t5468 @t5321) (tptp.hAPP (tptp.hAPP @t5302 @t5470) @t5469)))) % 6.51/6.71 (assume @p4078 (forall @t5474 (and (=> @t426 (= @t5472 (tptp.hAPP @t5049 @t5470))) (=> @t5473 (= @t5472 @t5470))))) % 6.51/6.71 (assume @p4079 (forall @t5478 (= @t5477 (tptp.hAPP @t4529 @t5476)))) % 6.51/6.71 (assume @p4080 (forall @t5480 (= (tptp.hAPP (tptp.hAPP @t1000 @t5479) (tptp.hAPP @t4752 (tptp.hAPP (tptp.c_List_Ofilter @t8 @t1483) @t4522))) @t4770))) % 6.51/6.71 (assume @p4081 (forall @t5480 (= (= @t5470 @t4522) @t4838))) % 6.51/6.71 (assume @p4082 (forall (@list @t4522 @t2 @t8 @t61 @t136 @t47) (=> @t4830 (=> @t5473 (= (tptp.hAPP @t5468 @t4829) @t5470))))) % 6.51/6.71 (assume @p4083 (forall (@list @t4522 @t61 @t135 @t8) (= (tptp.hAPP @t5481 @t4694) (tptp.c_List_Oremove1 @t8 @t61 @t5482)))) % 6.51/6.71 (assume @p4084 (forall @t5474 (=> @t5473 (= (tptp.c_List_Oremove1 @t8 @t61 @t5470) @t5470)))) % 6.51/6.71 (assume @p4085 (forall (@list @t4522 @t135 @t136 @t8) (= (tptp.hAPP @t5468 @t5482) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1433 @t135)) @t136)) @t4522)))) % 6.51/6.71 (assume @p4086 (forall @t4839 (=> @t4696 (tptp.hBOOL (tptp.hAPP @t4672 @t5470))))) % 6.51/6.71 (assume @p4087 (forall @t130 (= @t4756 (tptp.c_List_Ofilter @t8 (tptp.hAPP @t1482 @t523))))) % 6.51/6.71 (assume @p4088 (forall @t5474 (=> @t5473 (= (tptp.hAPP @t4756 @t5470) @t5470)))) % 6.51/6.71 (assume @p4089 (forall @t5480 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t5479) @t4770)))) % 6.51/6.71 (assume @p4090 (forall @t5480 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t5483) @t4554)))) % 6.51/6.71 (assume @p4091 (forall @t1475 (= (tptp.hAPP @t5468 @t5157) @t5157))) % 6.51/6.71 (assume @p4092 (forall @t5480 (= (= @t5470 @t5157) (forall @t7 (=> @t4837 @t1486))))) % 6.51/6.71 (assume @p4093 (forall @t5480 (= @t5483 (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1433 (tptp.hAPP @t394 @t4554))) @t136))))) % 6.51/6.71 (assume @p4094 (forall @t5478 (= (tptp.hAPP @t4752 @t5477) (tptp.hAPP @t4750 @t5476)))) % 6.51/6.71 (assume @p4095 (forall (@list @t136 @t4522 @t61 @t8) (=> @t4701 (=> @t5473 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t5479) @t4770)))))) % 6.51/6.71 (assume @p4096 (forall @t5484 (= (tptp.hAPP @t4692 @t1387) (tptp.hAPP @t4553 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t1482 (tptp.hAPP @t521 @t64))) @t4522))))) % 6.51/6.71 (assume @p4097 (forall @t5486 (=> @t4696 (= (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t394 (tptp.hAPP @t4553 @t5485))) @t4522) @t5485)))) % 6.51/6.71 (assume @p4098 (forall @t5488 (= (tptp.hAPP @t4752 (tptp.hAPP @t5487 @t4522)) (tptp.hAPP @t2325 (tptp.hAPP @t1426 (tptp.hAPP @t4799 (tptp.hAPP (tptp.hAPP @t4849 @t2866) @t4807))))))) % 6.51/6.71 (assume @p4099 (forall @t5030 (= @t5490 (tptp.hAPP (tptp.hAPP @t4528 (tptp.hAPP @t5489 @t2)) (tptp.hAPP (tptp.c_List_Ofilter @t47 (tptp.hAPP @t1566 (tptp.hAPP (tptp.hAPP @t1694 (tptp.hAPP @t1693 @t2)) @t983))) @t4522))))) % 6.51/6.71 (assume @p4100 (forall @t4542 (= (tptp.c_List_Ofoldr @t4514 tptp.tc_Nat_Onat @t5496 @t5495 @t2094) (tptp.hAPP @t5494 (tptp.hAPP @t5492 @t4522))))) % 6.51/6.71 (assume @p4101 (forall @t4542 (= (= @t5495 @t5501) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5500 @t5499)) @t5497))))) % 6.51/6.71 (assume @p4102 (forall @t365 @t5502)) % 6.51/6.71 (assume @p4103 (forall @t4566 (= (tptp.c_List_Otranspose @t8 @t5504) (tptp.hAPP @t5503 (tptp.c_List_Otranspose @t47 @t4522))))) % 6.51/6.71 (assume @p4104 (forall (@list @t5505 @t8) (= (tptp.c_List_Otranspose @t8 (tptp.hAPP @t5507 @t5505)) (tptp.c_List_Otranspose @t8 @t5505)))) % 6.51/6.71 (assume @p4105 (forall @t87 (= (tptp.c_List_Omap__filter @t47 @t8 @t2 @t5188) @t5157))) % 6.51/6.71 (assume @p4106 (forall (@list @t136 @t315 @t690 @t4522 @t8 @t47) (=> (= @t4637 @t4749) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 @t690) @t315)) (= (tptp.hAPP (tptp.hAPP @t2096 (tptp.hAPP (tptp.c_List_Ofilter @t4325 @t5508) @t4522)) @t690) @t4749))))) % 6.51/6.71 (assume @p4107 (forall @t4831 (= (tptp.c_List_Omap__filter @t47 @t8 @t2 @t5065) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t4514 @t8 @t5490 (tptp.hAPP @t5262 @t5490)) @t67)))) % 6.51/6.71 (assume @p4108 (forall (@list @t5509 @t4522 @t136 @t8) (= (tptp.hAPP @t5515 (tptp.hAPP (tptp.c_List_Ofilter @t5513 (tptp.hAPP @t5514 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5513) tptp.c_Nat_OSuc) @t5512))) (tptp.hAPP @t5511 @t5509))) (tptp.hAPP @t5515 (tptp.hAPP (tptp.c_List_Ofilter @t5513 (tptp.hAPP @t5514 @t5512)) (tptp.hAPP @t5511 (tptp.hAPP @t5510 @t5509))))))) % 6.51/6.71 (assume @p4109 (forall @t5524 (=> @t5523 (= @t5521 (tptp.hAPP @t5519 @t5517))))) % 6.51/6.71 (assume @p4110 (forall @t4542 (= @t5522 (tptp.c_List_Ofoldr @t4514 tptp.tc_Nat_Onat @t5496 @t4522 @t2094)))) % 6.51/6.71 (assume @p4111 (forall (@list @t4522 @t136 @t2 @t8 @t47) (= @t5528 (tptp.c_List_Omap__filter @t47 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t687 @t687) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t47 @t687 @t5525) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t687 @t5525) @t47) (tptp.c_If @t687)) @t136)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t687 @t47) @t65) @t2))) @t983) @t4522)))) % 6.51/6.71 (assume @p4112 (forall (@list @t2 @t4522 @t13 @t8 @t47) (=> @t4830 (=> @t4716 (=> @t5530 (=> (= (tptp.hAPP @t5412 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP (tptp.hAPP @t1685 (tptp.hAPP tptp.c_fequal @t80)) @t2)) @t4522)) @t13) (= (tptp.hAPP @t5189 @t5529) @t4522))))))) % 6.51/6.71 (assume @p4113 (forall @t5153 (= (tptp.c_List_Osublist @t8 @t4522 @t51) (tptp.hAPP @t5515 (tptp.hAPP @t5535 @t5532))))) % 6.51/6.71 (assume @p4114 (forall @t365 (=> @t214 (tptp.c_List_Olinorder__class_Osorted @t8 @t5157)))) % 6.51/6.71 (assume @p4115 (forall @t134 (=> @t214 (tptp.c_List_Olinorder__class_Osorted @t8 @t5230)))) % 6.51/6.71 (assume @p4116 (forall (@list @t4522 @t1 @t8) (=> @t214 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t521 @t5536)) @t4522))))) % 6.51/6.71 (assume @p4117 (forall (@list @t136 @t4522 @t2 @t47 @t8) (=> @t214 (=> @t5537 (tptp.c_List_Olinorder__class_Osorted @t8 @t5528))))) % 6.51/6.71 (assume @p4118 (forall @t5037 (=> @t214 (=> @t5538 (tptp.c_List_Olinorder__class_Osorted @t8 @t5424))))) % 6.51/6.71 (assume @p4119 (forall @t1245 (and @t5545 (=> (not @t1215) (= @t5540 @t5539))))) % 6.51/6.71 (assume @p4120 (forall @t1245 @t5545)) % 6.51/6.71 (assume @p4121 (forall @t1169 (=> @t1215 (= (tptp.c_List_Oupt @t1165 @t1164) (tptp.hAPP @t5544 (tptp.c_List_Oupt @t1162 @t1164)))))) % 6.51/6.71 (assume @p4122 (forall @t1245 (and @t5547 (=> (not @t1249) @t5546)))) % 6.51/6.71 (assume @p4123 (forall @t1245 @t5547)) % 6.51/6.71 (assume @p4124 (forall @t5440 (=> @t214 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5049 @t5548)) (and @t221 (tptp.c_List_Olinorder__class_Osorted @t8 @t5548)))))) % 6.51/6.71 (assume @p4125 (forall @t4714 (=> @t214 (=> @t213 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5549) (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5067 @t5549))))))) % 6.51/6.71 (assume @p4126 (forall @t4760 (=> @t214 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4529 @t4826)) @t5537)))) % 6.51/6.71 (assume @p4127 (forall @t5550 (=> @t214 (=> @t5537 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4529 (tptp.c_List_Oremove1 @t47 @t61 @t4522))))))) % 6.51/6.71 (assume @p4128 (forall @t5322 (=> @t214 (=> @t5553 (=> @t4696 (=> @t5552 (=> @t5363 @t5551))))))) % 6.51/6.71 (assume @p4129 (forall @t4948 (=> @t214 (=> @t5538 (tptp.c_List_Olinorder__class_Osorted @t8 @t4932))))) % 6.51/6.71 (assume @p4130 (forall @t4715 (=> @t214 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t4821) @t5553)))) % 6.51/6.71 (assume @p4131 (forall (@list @t255 @t4704 @t8) (=> @t214 (=> @t5538 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.c_List_Oremove1 @t8 @t255 @t4704)))))) % 6.51/6.71 (assume @p4132 (forall @t1245 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t4687))) % 6.51/6.71 (assume @p4133 (forall @t1245 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t5542))) % 6.51/6.71 (assume @p4134 (forall @t1245 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t5542)))) % 6.51/6.71 (assume @p4135 (forall @t1209 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t2814) @t5554))) % 6.51/6.71 (assume @p4136 (forall @t4697 (=> @t214 (=> @t5553 (tptp.c_List_Olinorder__class_Osorted @t8 @t4883))))) % 6.51/6.71 (assume @p4137 (forall @t1209 (= (tptp.hAPP @t5510 @t5554) (tptp.c_List_Oupt @t1778 @t1780)))) % 6.51/6.71 (assume @p4138 (forall @t2619 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1851) @t1153)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t1152) (tptp.c_List_Oupt @t1165 @t1153)) (tptp.c_List_Oupt @t1165 @t1851))))) % 6.51/6.71 (assume @p4139 (forall @t5037 (=> @t214 (=> @t5202 (=> @t5538 (tptp.c_List_Olinorder__class_Osorted @t8 @t5033)))))) % 6.51/6.71 (assume @p4140 (forall @t3434 (= (tptp.c_List_Oupt @t1165 @t2094) @t5539))) % 6.51/6.71 (assume @p4141 (forall @t2808 (= (= @t5555 @t5539) (or (= @t1190 @t2094) @t1900)))) % 6.51/6.71 (assume @p4142 (forall @t1247 (=> @t1910 @t5546))) % 6.51/6.71 (assume @p4143 (forall @t1245 (=> @t1249 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t5542) @t1165)))) % 6.51/6.71 (assume @p4144 (forall (@list @t1162 @t1165 @t1152) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t1152) @t5542) (tptp.c_List_Oupt @t1851 @t1162)))) % 6.51/6.71 (assume @p4145 (forall @t4948 (=> @t214 (=> @t5538 (tptp.c_List_Olinorder__class_Osorted @t8 @t5389))))) % 6.51/6.71 (assume @p4146 (forall @t5550 (=> @t214 (=> @t5537 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4529 @t4857)))))) % 6.51/6.71 (assume @p4147 (forall @t2808 (= @t5556 @t2791))) % 6.51/6.71 (assume @p4148 (forall @t2808 (= @t2791 @t5556))) % 6.51/6.71 (assume @p4149 (forall @t4902 (=> @t214 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4529 (tptp.hAPP (tptp.c_List_Ofilter @t47 (tptp.hAPP (tptp.hAPP @t1690 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t55 @t47) tptp.c_fequal) @t2)) @t5536)) @t4522)))))) % 6.51/6.71 (assume @p4150 (forall @t1245 (= (tptp.hAPP @t4897 @t5542) @t1913))) % 6.51/6.71 (assume @p4151 (forall @t4715 (=> @t214 (= @t5558 (and @t5553 @t5557))))) % 6.51/6.71 (assume @p4152 (forall @t5322 (=> @t214 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t5321) (and @t5553 @t5552 (forall @t7 (=> @t4837 (forall @t817 (=> (tptp.hBOOL (tptp.hAPP @t816 @t4613)) @t5559))))))))) % 6.51/6.71 (assume @p4153 (forall @t1156 (and (=> @t5563 (= @t5562 (tptp.hAPP (tptp.hAPP @t5541 @t5561) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t5561) @t5560)))) (=> (not @t5563) (= @t5562 @t5539))))) % 6.51/6.71 (assume @p4154 (forall (@list @t4522 @t61 @t1190 @t1034) (= (= @t5555 (tptp.hAPP (tptp.hAPP @t5541 @t61) @t4522)) (and (tptp.hBOOL (tptp.hAPP @t1270 @t1190)) (= @t1034 @t61) (= (tptp.c_List_Oupt (tptp.hAPP @t1188 @t1615) @t1190) @t4522))))) % 6.51/6.71 (assume @p4155 (forall @t1245 (=> @t1249 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t5542) (tptp.hAPP @t1182 @t1615))))) % 6.51/6.71 (assume @p4156 (forall (@list @t61 @t136 @t4522 @t2 @t47 @t8) (=> @t214 (=> @t5537 (=> @t426 (= (tptp.hAPP @t5526 @t4826) (tptp.hAPP @t4825 @t5527))))))) % 6.51/6.71 (assume @p4157 (forall @t4542 (= (tptp.hAPP (tptp.hAPP @t5564 @t4807) @t5531) @t4522))) % 6.51/6.71 (assume @p4158 (forall @t1785 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t692 @t337) (tptp.hAPP @t4888 (tptp.c_List_Oupt @t692 @t1778))))) % 6.51/6.71 (assume @p4159 (forall @t1862 (= @t2375 (tptp.hAPP @t4888 @t5565)))) % 6.51/6.71 (assume @p4160 (forall @t2818 (=> @t784 (= @t5568 @t5567)))) % 6.51/6.71 (assume @p4161 (forall @t2818 (=> @t784 (= @t5567 @t5568)))) % 6.51/6.71 (assume @p4162 (forall (@list @t1162 @t1161 @t1165) (=> (tptp.hBOOL (tptp.hAPP @t1250 @t1162)) (= (tptp.hAPP (tptp.hAPP @t4894 @t5542) @t1161) @t1181)))) % 6.51/6.71 (assume @p4163 (forall @t1785 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t692 @t337) (tptp.hAPP @t4888 (tptp.c_List_Oupt @t1780 @t1778))))) % 6.51/6.71 (assume @p4164 (forall (@list @t352 @t354 @t8) (=> @t214 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5061 @t352)) (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t232 (tptp.hAPP @t4553 @t352))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t354) @t3)))) (tptp.c_List_Olinorder__class_Osorted @t8 @t352)))))) % 6.51/6.71 (assume @p4165 (forall @t1785 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t692 @t337) (tptp.hAPP @t4888 (tptp.c_List_Oupt @t1780 @t337))))) % 6.51/6.71 (assume @p4166 (forall (@list @t2 @t8 @t337 @t692 @t1034) (=> (tptp.hBOOL (tptp.hAPP @t1270 @t2260)) (= (tptp.hAPP (tptp.hAPP @t4806 @t5566) @t1034) (tptp.hAPP @t2 (tptp.hAPP @t1228 @t1034)))))) % 6.51/6.71 (assume @p4167 (forall @t199 (=> @t214 (=> @t363 (and (= (tptp.hAPP @t4553 @t4743) @t51) (tptp.c_List_Olinorder__class_Osorted @t8 @t4743) (tptp.hBOOL (tptp.hAPP @t4672 @t4743))))))) % 6.51/6.71 (assume @p4168 (forall @t1862 (= @t3241 (tptp.hAPP @t4888 (tptp.c_List_Oupt @t2094 @t1780))))) % 6.51/6.71 (assume @p4169 (forall @t5442 (=> @t214 (=> @t4716 (=> @t5553 (= (tptp.hAPP (tptp.hAPP @t4811 @t13) @t5529) @t4522)))))) % 6.51/6.71 (assume @p4170 (forall @t5570 (=> @t214 (=> @t5538 (=> @t1215 (=> @t5569 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t4814) @t4867)))))))) % 6.51/6.71 (assume @p4171 (forall @t4542 (=> @t214 (= @t5553 (forall @t2250 (=> @t4848 (forall @t2737 (=> @t5571 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t4817) @t4847)))))))))) % 6.51/6.71 (assume @p4172 (forall @t4533 (=> @t4830 (=> @t4615 (=> @t5530 (=> (tptp.hBOOL (tptp.hAPP @t4681 @t4525)) (=> (tptp.c_List_Olinorder__class_Osorted @t47 @t4524) (=> (tptp.hBOOL (tptp.hAPP @t4681 @t4524)) @t5551)))))))) % 6.51/6.71 (assume @p4173 (forall (@list @t1034 @t4522 @t51 @t8) (= (tptp.hAPP @t5515 (tptp.hAPP @t5535 (tptp.hAPP @t5511 (tptp.c_List_Oupt @t1034 (tptp.hAPP @t1188 @t4770))))) (tptp.hAPP @t5515 (tptp.hAPP (tptp.c_List_Ofilter @t5513 (tptp.hAPP (tptp.hAPP @t5534 (tptp.hAPP @t5533 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5513 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3199 @t5513) @t1000) @t5512)) @t1034))) @t51)) @t5532))))) % 6.51/6.71 (assume @p4174 (forall (@list @t692 @t8 @t4522) (=> (=> @t5574 @t2145) (=> (forall @t2737 (=> (tptp.hBOOL (tptp.hAPP @t3477 @t5572)) (= (tptp.hAPP @t4752 (tptp.hAPP @t5573 @t2734)) @t692))) (= @t5495 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t4514) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4896 @t4514) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4850 (tptp.tc_fun @t4896 @t4514) tptp.tc_Nat_Onat) @t5564) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4514 @t4850 tptp.tc_Nat_Onat) @t4806) @t5573)))) (tptp.c_List_Oupt @t2094 @t5572))) @t5565)))))) % 6.51/6.71 (assume @p4175 (forall @t5577 (=> (tptp.hBOOL (tptp.hAPP @t5576 @t5575)) (= (tptp.c_List_Otranspose @t8 @t5575) (tptp.c_List_Otranspose @t8 @t5465))))) % 6.51/6.71 (assume @p4176 (forall @t365 (=> (tptp.hBOOL (tptp.hAPP @t5576 @t5501)) @t5502))) % 6.51/6.71 (assume @p4177 (forall @t5584 (=> @t5583 (=> @t5580 (= (tptp.hAPP @t5519 @t5579) @t5578))))) % 6.51/6.71 (assume @p4178 (forall @t5577 (= @t5587 (tptp.hAPP (tptp.hAPP @t5518 @t5412) @t5585)))) % 6.51/6.71 (assume @p4179 (forall @t199 (tptp.c_Fun_Oinj__on @t4514 @t4514 @t5588 @t51))) % 6.51/6.71 (assume @p4180 (forall @t4542 (= @t5589 (tptp.hAPP (tptp.c_List_Ofoldl @t4514 @t8 @t5262 @t5157) @t4522)))) % 6.51/6.71 (assume @p4181 (forall @t5577 (= @t5590 (tptp.hAPP (tptp.c_List_Ofoldl @t4514 @t4514 @t5302 @t5157) @t5465)))) % 6.51/6.71 (assume @p4182 (forall @t4715 (= (= @t5210 @t5589) @t5591))) % 6.51/6.71 (assume @p4183 (forall @t4697 (= (= @t5589 @t5210) @t5591))) % 6.51/6.71 (assume @p4184 (forall @t4542 (= (tptp.hAPP @t5588 @t5592) (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5586 @t5588) (tptp.hAPP (tptp.c_List_Orev @t4514) @t4522)))))) % 6.51/6.71 (assume @p4185 (forall @t4566 (= @t5595 (tptp.hAPP @t4529 @t5594)))) % 6.51/6.71 (assume @p4186 (forall @t365 (= (tptp.hAPP @t5588 @t5157) @t5157))) % 6.51/6.71 (assume @p4187 (forall @t4542 (= (= @t5157 @t5589) @t5161))) % 6.51/6.71 (assume @p4188 (forall @t4542 (= (= @t5589 @t5157) @t5161))) % 6.51/6.71 (assume @p4189 (forall @t4542 (= (tptp.hBOOL (tptp.hAPP @t4672 @t5589)) @t4696))) % 6.51/6.71 (assume @p4190 (forall @t4767 (= (tptp.hAPP @t5588 @t5318) (tptp.hAPP (tptp.hAPP @t5302 (tptp.hAPP @t5588 @t4703)) @t5596)))) % 6.51/6.71 (assume @p4191 (forall @t4767 (= (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5598 @t4704) @t4703)) (tptp.hAPP (tptp.hAPP @t5302 @t5597) (tptp.c_List_Oconcat @t8 @t4703))))) % 6.51/6.71 (assume @p4192 (forall (@list @t5465 @t4522 @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t4514 @t4514 @t5302 @t4522) @t5465) (tptp.hAPP @t5303 @t5590)))) % 6.51/6.71 (assume @p4193 (forall @t5037 (= (tptp.hAPP @t4752 @t5596) @t4762))) % 6.51/6.71 (assume @p4194 (forall @t5322 (= (= @t5589 @t5599) @t4523))) % 6.51/6.71 (assume @p4195 (forall @t5322 (= (= @t5589 @t4521) (= @t4522 @t5599)))) % 6.51/6.71 (assume @p4196 (forall @t5037 (= (tptp.hAPP @t5588 @t5596) @t4704))) % 6.51/6.71 (assume @p4197 (forall @t5037 (=> @t784 (= (tptp.hAPP @t4884 @t5596) @t5072)))) % 6.51/6.71 (assume @p4198 (forall @t4542 (= (tptp.hAPP @t4553 @t5589) @t4554))) % 6.51/6.71 (assume @p4199 (forall @t4709 (=> (= @t4762 @t4761) (= (tptp.hAPP (tptp.hAPP @t4698 @t5596) (tptp.hAPP @t5593 @t4703)) (tptp.hAPP @t5600 @t4706))))) % 6.51/6.71 (assume @p4200 (forall @t5480 (= (tptp.hAPP @t5588 @t5470) (tptp.hAPP @t5468 @t5589)))) % 6.51/6.71 (assume @p4201 (forall (@list @t13 @t4522 @t2 @t8 @t47) (= @t5082 (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t47 (tptp.hAPP @t1832 @t2) @t13) @t5594)))) % 6.51/6.71 (assume @p4202 (forall (@list @t4522 @t13 @t2 @t47 @t8) (= @t5437 (tptp.c_List_Ofoldr @t47 @t8 (tptp.hAPP (tptp.c_COMBC @t8 @t47 @t8) @t2) @t5594 @t13)))) % 6.51/6.71 (assume @p4203 (forall @t365 (= (tptp.c_List_Oconcat @t8 @t5501) @t5157))) % 6.51/6.71 (assume @p4204 (forall @t5073 (= (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5506 @t132) @t4704)) (tptp.hAPP (tptp.hAPP @t5302 @t132) @t5597)))) % 6.51/6.71 (assume @p4205 (forall @t5577 (= (= @t5590 @t5157) @t5602))) % 6.51/6.71 (assume @p4206 (forall @t5577 (= (= @t5157 @t5590) @t5602))) % 6.51/6.71 (assume @p4207 (forall @t5030 (= (tptp.hAPP @t4529 (tptp.c_List_Oconcat @t47 @t4522)) (tptp.c_List_Oconcat @t8 @t5504)))) % 6.51/6.71 (assume @p4208 (forall @t5488 (= (tptp.hAPP @t5487 @t5592) (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5586 @t5487) @t4522))))) % 6.51/6.71 (assume @p4209 (forall (@list @t4521 @t64 @t4522 @t8) (= (= @t5589 @t5048) (= @t4522 (tptp.hAPP (tptp.hAPP @t5302 @t5599) @t5305))))) % 6.51/6.71 (assume @p4210 (forall @t5073 (= (tptp.hAPP @t5588 @t5068) (tptp.hAPP (tptp.hAPP @t5302 @t5596) @t5230)))) % 6.51/6.71 (assume @p4211 (forall @t5577 (= (tptp.hAPP @t4752 @t5590) (tptp.hAPP @t4891 (tptp.hAPP @t5581 @t5465))))) % 6.51/6.71 (assume @p4212 (forall @t4542 (= (tptp.hAPP @t4553 @t5592) (tptp.hAPP (tptp.hAPP @t5603 @t5499) @t4553)))) % 6.51/6.71 (assume @p4213 (forall @t5216 (=> @t5202 (= (tptp.c_List_Olast @t8 @t5596) @t5417)))) % 6.51/6.71 (assume @p4214 (forall @t5216 (=> @t5202 (= (tptp.hAPP @t5412 @t5596) @t5454)))) % 6.51/6.71 (assume @p4215 (forall @t4542 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5582 (tptp.hAPP @t5581 @t5495))))) % 6.51/6.71 (assume @p4216 (forall @t5605 (= (tptp.hAPP @t5588 @t4937) (tptp.hAPP (tptp.hAPP @t5383 @t5604) @t5596)))) % 6.51/6.71 (assume @p4217 (forall @t5605 (= (tptp.hAPP @t5588 @t5395) (tptp.hAPP (tptp.hAPP @t4927 @t5604) @t5596)))) % 6.51/6.71 (assume @p4218 (forall @t4939 (= (tptp.hAPP @t5427 @t5596) (tptp.hAPP @t5588 (tptp.hAPP (tptp.c_List_Orotate @t8 (tptp.hAPP @t5035 @t5426)) @t4704))))) % 6.51/6.71 (assume @p4219 (forall @t5611 @t5610)) % 6.51/6.71 (assume @p4220 (forall @t5029 (=> @t5034 (= (tptp.hAPP (tptp.hAPP @t4806 @t5596) @t1153) (tptp.hAPP @t4813 (tptp.hAPP @t5035 @t1716)))))) % 6.51/6.71 (assume @p4221 (forall @t5322 (=> @t5614 (=> @t5613 (= @t5612 @t4523))))) % 6.51/6.71 (assume @p4222 (forall @t5322 (=> @t5612 (=> @t5613 (=> @t5614 @t4523))))) % 6.51/6.71 (assume @p4223 (forall (@list @t210 @t4704 @t8 @t1161) (=> (tptp.hBOOL (tptp.hAPP @t1251 @t4762)) (= (tptp.hAPP @t5588 (tptp.hAPP @t5038 @t210)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5596) (tptp.hAPP (tptp.hAPP @t864 (tptp.hAPP @t5035 @t1161)) @t1615)) @t210))))) % 6.51/6.71 (assume @p4224 (forall @t4566 (= (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5615 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t4514 @t4514) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t5113 @t47) @t5046) @t2)) @t5157)) @t4522)) @t4531))) % 6.51/6.71 (assume @p4225 (forall @t5570 (=> @t214 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5596) (=> @t1215 (=> @t5569 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t4867) @t4814)))))))) % 6.51/6.71 (assume @p4226 (forall @t5484 (=> @t214 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5589) (and (=> @t5161 (= @t5616 @t64)) (=> @t5221 (= @t5616 (tptp.hAPP (tptp.hAPP @t1930 (tptp.hAPP @t4807 @t2094)) @t64)))))))) % 6.51/6.71 (assume @p4227 (forall @t5611 (=> (tptp.hBOOL (tptp.hAPP @t5576 @t5609)) @t5610))) % 6.51/6.71 (assume @p4228 (forall @t4542 (=> @t5583 (and (=> @t5574 (= @t5522 @t2094)) (=> (not @t5574) (= @t5522 (tptp.hAPP @t4752 (tptp.hAPP @t5573 @t2094)))))))) % 6.51/6.71 (assume @p4229 (forall @t5584 (=> @t5583 (=> @t5580 (= (tptp.hAPP @t5494 @t5579) (tptp.hAPP @t4752 @t5578)))))) % 6.51/6.71 (assume @p4230 (forall @t5577 (= @t5608 (tptp.hAPP (tptp.hAPP @t5586 @t5423) @t5585)))) % 6.51/6.71 (assume @p4231 (forall @t4846 (=> @t5583 (=> @t5523 (=> (tptp.hBOOL (tptp.hAPP @t4844 (tptp.hAPP @t5494 @t5517))) (= (tptp.hAPP (tptp.hAPP @t4806 @t5521) @t1190) (tptp.hAPP (tptp.hAPP @t4806 (tptp.hAPP @t5573 @t1190)) @t1034))))))) % 6.51/6.71 (assume @p4232 (forall @t4542 (=> @t5583 (= (tptp.c_List_Otranspose @t8 @t5495) (tptp.c_List_OtakeWhile @t4514 @t5491 @t4522))))) % 6.51/6.71 (assume @p4233 (= @t5539 (tptp.c_List_Oreturn__list @t5214))) % 6.51/6.71 (assume @p4234 (forall @t5618 (= (tptp.hAPP (tptp.hAPP @t4698 @t5617) @t4521) (tptp.c_List_OtakeWhile @t1469 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_HOL_Obool @t1469 @t136) @t4194) @t4731)))) % 6.51/6.71 (assume @p4235 (forall (@list @t4521 @t136 @t4522 @t47 @t8) (= (tptp.hAPP @t4699 (tptp.c_List_OtakeWhile @t47 @t136 @t4521)) (tptp.c_List_OtakeWhile @t1469 (tptp.hAPP (tptp.c_Fun_Ocomp @t47 tptp.tc_HOL_Obool @t1469 @t136) @t4192) @t4731)))) % 6.51/6.71 (assume @p4236 (forall (@list @t4522 @t136 @t61 @t8) (=> (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP @t4553 @t5617))) (and @t4701 @t426)))) % 6.51/6.71 (assume @p4237 (forall @t5480 (= (= @t5617 @t4522) @t4838))) % 6.51/6.71 (assume @p4238 (forall @t5480 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t5619) @t4770)))) % 6.51/6.71 (assume @p4239 (forall @t5480 (= @t5617 (tptp.hAPP (tptp.hAPP @t4927 @t5619) @t4522)))) % 6.51/6.71 (assume @p4240 (forall @t4839 (=> @t4696 (tptp.hBOOL (tptp.hAPP @t4672 @t5617))))) % 6.51/6.71 (assume @p4241 (forall @t1475 (= (tptp.c_List_OtakeWhile @t8 @t136 @t5157) @t5157))) % 6.51/6.71 (assume @p4242 (forall @t4839 (=> @t214 (=> @t5553 (tptp.c_List_Olinorder__class_Osorted @t8 @t5617))))) % 6.51/6.71 (assume @p4243 (forall @t5474 (and (=> @t426 (= @t5620 (tptp.hAPP @t5049 @t5617))) (=> @t5473 (= @t5620 @t5157))))) % 6.51/6.71 (assume @p4244 (forall (@list @t1653 @t4522 @t8 @t61 @t136) (=> @t5473 (= (tptp.c_List_OtakeWhile @t8 @t136 (tptp.hAPP @t5303 @t5373)) @t5617)))) % 6.51/6.71 (assume @p4245 (forall @t5478 (= (tptp.c_List_OtakeWhile @t8 @t136 @t4531) (tptp.hAPP @t4529 (tptp.c_List_OtakeWhile @t47 @t5475 @t4522))))) % 6.51/6.71 (assume @p4246 (forall @t3820 (= (tptp.c_List_Oreturn__list @t1653) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint tptp.tc_Nat_Onat) tptp.c_Int_Onat) @t1653)))) % 6.51/6.71 (assume @p4247 (forall @t5622 (=> @t4701 (=> @t5473 (= @t5621 @t5617))))) % 6.51/6.71 (assume @p4248 (forall @t5623 (=> (tptp.hBOOL (tptp.hAPP @t4844 @t5619)) (= (tptp.hAPP (tptp.hAPP @t4806 @t5617) @t1190) @t4842)))) % 6.51/6.71 (assume @p4249 (forall @t5480 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t5619) @t4770)) (not (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t4807 @t5619))))))) % 6.51/6.71 (assume @p4250 (forall @t4949 (= @t4886 (tptp.c_Map_Omap__add @t8 @t47 @t337 (tptp.hAPP @t2254 (tptp.hAPP @t5600 @t4731)))))) % 6.51/6.71 (assume @p4251 (forall @t5421 (=> @t5221 (=> @t4696 (= (tptp.c_List_OtakeWhile @t8 (tptp.hAPP @t1482 (tptp.hAPP @t521 @t5459)) @t4522) @t5031))))) % 6.51/6.71 (assume @p4252 (forall (@list @t32 @t4522 @t2 @t47 @t8) (=> @t214 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5595) (= (tptp.hAPP (tptp.c_List_Ofilter @t47 @t5624) @t4522) (tptp.c_List_OtakeWhile @t47 @t5624 @t4522)))))) % 6.51/6.71 (assume @p4253 (forall @t3707 (=> (tptp.c_List_Onat__list @t1238) (= (tptp.c_List_Oembed__list (tptp.c_List_Oreturn__list @t1238)) @t1238)))) % 6.51/6.71 (assume @p4254 (forall @t5577 (= (tptp.hAPP @t4752 (tptp.c_List_Oremdups @t8 @t5590)) (tptp.hAPP @t1385 (tptp.hAPP (tptp.hAPP @t5603 @t5601) @t4553))))) % 6.51/6.71 (assume @p4255 (forall @t5037 (tptp.hBOOL (tptp.hAPP @t4672 @t5625)))) % 6.51/6.71 (assume @p4256 (forall @t5037 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 (tptp.hAPP @t4752 @t5625)) @t4762)))) % 6.51/6.71 (assume @p4257 (forall @t4566 (= (tptp.c_List_Oremdups @t8 (tptp.hAPP @t4529 (tptp.c_List_Oremdups @t47 @t4522))) (tptp.c_List_Oremdups @t8 @t4531)))) % 6.51/6.71 (assume @p4258 (forall @t4542 (= (tptp.hAPP @t4553 @t5626) @t4554))) % 6.51/6.71 (assume @p4259 (forall (@list @t1238 @t8) (=> @t214 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t1238) (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.c_List_Oremdups @t8 @t1238)))))) % 6.51/6.71 (assume @p4260 (forall @t365 (= (tptp.c_List_Oremdups @t8 @t5157) @t5157))) % 6.51/6.71 (assume @p4261 (forall @t130 (= (= @t5157 @t5628) @t5627))) % 6.51/6.71 (assume @p4262 (forall @t130 (= (= @t5628 @t5157) @t5627))) % 6.51/6.71 (assume @p4263 (forall @t5037 (=> @t4708 (= @t5625 @t4704)))) % 6.51/6.71 (assume @p4264 (forall @t4542 (= @t5629 @t4696))) % 6.51/6.71 (assume @p4265 (forall @t4542 (= (= @t5630 @t4770) @t5629))) % 6.51/6.71 (assume @p4266 (forall @t5037 (= (tptp.c_List_Oremdups @t8 @t5625) @t5625))) % 6.51/6.71 (assume @p4267 (forall @t5480 (= (tptp.c_List_Oremdups @t8 @t5470) (tptp.hAPP @t5468 @t5626)))) % 6.51/6.71 (assume @p4268 (forall @t4711 (=> @t4708 (= (tptp.c_List_Oremove1 @t8 @t132 @t5625) (tptp.c_List_Oremdups @t8 @t4710))))) % 6.51/6.71 (assume @p4269 (forall @t3820 (= (tptp.c_List_Oembed__list @t1653) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Int_Oint) @t2425) @t1653)))) % 6.51/6.71 (assume @p4270 (forall @t4715 (and (=> @t4701 (= @t5631 @t5626)) (=> @t4702 (= @t5631 (tptp.hAPP @t5049 @t5626)))))) % 6.51/6.71 (assume @p4271 (forall @t4542 (= @t5630 @t4771))) % 6.51/6.71 (assume @p4272 (forall @t5445 (=> @t887 (= @t5444 (tptp.hAPP @t5443 @t5626))))) % 6.51/6.71 (assume @p4273 (forall (@list @t1152 @t1238) (= (tptp.hAPP (tptp.hAPP @t5543 @t1238) @t1152) (tptp.c_List_Oreturn__list (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Int_Oint) (tptp.c_List_Oembed__list @t1238)) (tptp.c_List_Oembed__list @t1152)))))) % 6.51/6.71 (assume @p4274 (forall @t4697 (=> @t4696 (=> @t4701 (= (tptp.c_List_OtakeWhile @t8 @t5632 @t5589) (tptp.hAPP @t5588 (tptp.hAPP @t5423 (tptp.c_List_OdropWhile @t8 @t5632 @t4522)))))))) % 6.51/6.71 (assume @p4275 (forall @t4697 (=> @t4696 (=> @t4701 (= (tptp.c_List_OdropWhile @t8 @t5632 @t5589) (tptp.hAPP @t5049 (tptp.hAPP @t5588 (tptp.c_List_OtakeWhile @t8 @t5632 @t4522)))))))) % 6.51/6.71 (assume @p4276 (forall @t4839 (=> @t4696 (tptp.hBOOL (tptp.hAPP @t4672 @t5633))))) % 6.51/6.71 (assume @p4277 (forall @t1475 (= (tptp.c_List_OdropWhile @t8 @t136 @t5157) @t5157))) % 6.51/6.71 (assume @p4278 (forall @t4839 (=> @t214 (=> @t5553 (tptp.c_List_Olinorder__class_Osorted @t8 @t5633))))) % 6.51/6.71 (assume @p4279 (forall @t5474 (and (=> @t426 (= @t5634 @t5633)) (=> @t5473 (= @t5634 @t5050))))) % 6.51/6.71 (assume @p4280 (forall @t5480 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t5635) @t4770)))) % 6.51/6.71 (assume @p4281 (forall @t5480 (= @t5636 @t4838))) % 6.51/6.71 (assume @p4282 (forall @t5480 (= (tptp.hAPP @t5637 @t5633) @t4522))) % 6.51/6.71 (assume @p4283 (forall @t5480 (=> (not @t5636) (not (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP @t5412 @t5633))))))) % 6.51/6.71 (assume @p4284 (forall @t5478 (= (tptp.c_List_OdropWhile @t8 @t136 @t4531) (tptp.hAPP @t4529 (tptp.c_List_OdropWhile @t47 @t5475 @t4522))))) % 6.51/6.71 (assume @p4285 (forall @t5622 (=> @t4701 (=> @t5473 (= @t5638 (tptp.hAPP (tptp.hAPP @t5302 @t5633) @t4521)))))) % 6.51/6.71 (assume @p4286 (forall (@list @t4521 @t64 @t4522 @t136 @t8) (= (= @t5633 @t5048) (and (= @t4522 (tptp.hAPP @t5637 @t5048)) (not @t5639))))) % 6.51/6.71 (assume @p4287 (forall @t5480 (= @t5633 (tptp.hAPP (tptp.hAPP @t5383 @t5619) @t4522)))) % 6.51/6.71 (assume @p4288 (forall @t5623 (=> (tptp.hBOOL (tptp.hAPP @t4844 @t5635)) (= (tptp.hAPP (tptp.hAPP @t4806 @t5633) @t1190) (tptp.hAPP @t4807 (tptp.hAPP @t2788 @t5619)))))) % 6.51/6.71 (assume @p4289 (forall (@list @t2 @t136 @t4522 @t8 @t47) (=> @t4917 (=> (forall @t7 (=> @t4837 (=> @t1486 @t2111))) (= (tptp.hAPP @t4903 (tptp.hAPP @t4518 @t5470)) @t4904))))) % 6.51/6.71 (assume @p4290 (forall @t5037 (=> @t214 (=> (forall @t2959 (=> @t5571 (=> (tptp.hBOOL (tptp.hAPP @t2249 @t4762)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t5045) (tptp.hAPP @t4813 @t2248)))))) @t5538)))) % 6.51/6.71 (assume @p4291 (forall @t4945 (= (tptp.c_Enum_On__lists @t8 @t1780 @t4522) (tptp.c_List_Oconcat @t4514 (tptp.hAPP (tptp.hAPP @t5607 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4514 @t4514 @t5493) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t8 @t4514) @t5606 @t4514) (tptp.c_List_Omap @t8 @t4514)) @t5262)) @t4522)) @t5640))))) % 6.51/6.71 (assume @p4292 (forall @t4925 (= (tptp.c_List_Opartition @t8 @t2 @t4522) (tptp.hAPP (tptp.hAPP @t4956 (tptp.hAPP (tptp.c_List_Ofilter @t8 @t2) @t4522)) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t5641 @t2)) @t4522))))) % 6.51/6.71 (assume @p4293 (forall @t5480 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t4514 @t4514) @t5642) @t5470))) % 6.51/6.71 (assume @p4294 (forall @t4948 (=> @t4708 (tptp.hBOOL (tptp.hAPP @t5644 @t5643))))) % 6.51/6.71 (assume @p4295 (forall @t4939 (= (tptp.hAPP @t5494 @t5643) (tptp.hAPP (tptp.hAPP @t2510 @t4762) @t1153)))) % 6.51/6.71 (assume @p4296 (forall (@list @t4522 @t692 @t4521 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5320 @t5645)) @t5003))) % 6.51/6.71 (assume @p4297 (forall @t5651 (=> @t5650 (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t232 @t5649)) @t231)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t232 @t5647)) @t1486)))))) % 6.51/6.71 (assume @p4298 (forall @t1475 (= (tptp.c_List_Opartition @t8 @t136 @t5157) @t5231))) % 6.51/6.71 (assume @p4299 (forall (@list @t8 @t1153) (and (=> @t2142 (= @t5652 @t5653)) (=> @t2143 (= @t5652 @t5501))))) % 6.51/6.71 (assume @p4300 (forall @t5037 (= (tptp.c_Enum_On__lists @t8 @t2094 @t4704) @t5653))) % 6.51/6.71 (assume @p4301 (forall @t5656 (= (tptp.c_List_Opartition @t8 @t136 @t5050) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4514 @t4514 @t4958) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4514 @t4979 @t4979) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5655 (tptp.tc_fun @t4979 @t4979) @t4514) (tptp.c_COMBS @t4514 @t4958 @t4958)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4979 @t5655 @t4514) (tptp.hAPP (tptp.c_COMBB @t4958 @t5654 @t4514) (tptp.hAPP (tptp.c_If @t4958) @t425))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4514 @t4979 @t4514) @t4956) @t5049)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4514 @t5113 @t4979) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4979 (tptp.tc_fun @t5113 @t4979) @t4514) (tptp.c_COMBB @t4514 @t4958 @t4514)) @t4956)) @t5049))) @t5642)))) % 6.51/6.71 (assume @p4302 (forall @t5480 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t4514 @t4514) @t5642) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t5641 @t136)) @t4522)))) % 6.51/6.71 (assume @p4303 (forall @t5651 (=> @t5650 (= (tptp.hAPP (tptp.hAPP @t193 @t5649) @t5647) @t4554)))) % 6.51/6.71 (assume @p4304 (forall @t4945 (= @t5645 (tptp.hAPP @t4791 (tptp.hAPP (tptp.hAPP @t4789 (tptp.hAPP @t4788 @t4782)) (tptp.hAPP @t4785 @t4554)))))) % 6.51/6.71 (assume @p4305 (forall @t4542 (= (tptp.hAPP @t4618 (tptp.hAPP @t5498 @t5657)) (tptp.hAPP @t3310 @t4554)))) % 6.51/6.71 (assume @p4306 (forall @t5037 (= (tptp.hAPP @t5494 (tptp.c_Enum_Osublists @t8 @t4704)) (tptp.hAPP @t3309 @t4762)))) % 6.51/6.71 (assume @p4307 (forall @t4542 (=> @t4696 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t55) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4514 @t55) @t4553) @t5657)))))) % 6.51/6.71 (assume @p4308 (forall @t365 (= (tptp.c_Enum_Osublists @t8 @t5157) @t5653))) % 6.51/6.71 (assume @p4309 (forall @t4715 (= (tptp.c_Enum_Osublists @t8 @t5050) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet @t5493 @t5493) @t5657) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5493 @t5493 @t5493) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5493 (tptp.tc_fun @t5493 @t5493) @t5493) @t5598) (tptp.hAPP @t5586 @t5049))) (tptp.c_COMBI @t5493)))))) % 6.51/6.71 (assume @p4310 (forall @t5280 (= (tptp.c_Enum_Oproduct @t8 @t47 @t5050 @t4521) (tptp.hAPP (tptp.hAPP @t5331 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t47 @t1469) @t3928) @t4521)) @t5658)))) % 6.51/6.71 (assume @p4311 (forall @t1475 (= (tptp.c_Enum_Oenum__the @t8 @t136) (tptp.c_HOL_OThe @t8 @t136)))) % 6.51/6.71 (assume @p4312 (forall (@list @t5659 @t47 @t8) (= (tptp.c_Enum_Oproduct @t8 @t47 @t5157 @t5659) @t5191))) % 6.51/6.71 (assume @p4313 (forall @t4709 (=> @t4708 (=> (tptp.hBOOL (tptp.hAPP @t4681 @t4703)) (tptp.hBOOL (tptp.hAPP @t4707 (tptp.c_Enum_Oproduct @t8 @t47 @t4704 @t4703))))))) % 6.51/6.71 (assume @p4314 (forall @t4626 (= (tptp.hAPP @t4619 @t5658) (tptp.hAPP (tptp.hAPP @t5155 @t4554) (tptp.hAPP @t1079 @t4616))))) % 6.51/6.71 (assume @p4315 (forall (@list @t4521 @t4522 @t8 @t47) (=> @t5665 (=> (= @t4770 @t5662) (=> (= @t4754 @t5662) (=> (= (tptp.hAPP @t5489 (tptp.hAPP @t2096 (tptp.hAPP @t5661 @t4522))) (tptp.hAPP @t5489 (tptp.hAPP @t2096 (tptp.hAPP @t5661 @t4521)))) @t4523)))))) % 6.51/6.71 (assume @p4316 (forall @t4542 (=> @t214 (= @t5666 (tptp.hAPP (tptp.c_List_Ofoldl @t4514 @t8 (tptp.hAPP @t5261 @t4811) @t5157) @t4522))))) % 6.51/6.71 (assume @p4317 (forall @t365 (=> @t5663 (tptp.hBOOL (tptp.hAPP @t4672 @t5667))))) % 6.51/6.71 (assume @p4318 (forall @t5030 (=> @t4830 (= (tptp.hBOOL (tptp.hAPP @t4672 @t5668)) @t4696)))) % 6.51/6.71 (assume @p4319 (forall @t365 (=> @t5663 (= (tptp.c_Enum_Oenum__class_Oenum @t687) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t687) @t983) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 @t687) @t65) @t5667)))))) % 6.51/6.71 (assume @p4320 (forall @t997 (=> @t5669 (= (tptp.c_Enum_Oenum__class_Oenum @t1469) (tptp.c_Enum_Oproduct @t8 @t47 @t5667 @t5660))))) % 6.51/6.71 (assume @p4321 (forall @t130 (=> @t5663 (tptp.hBOOL (tptp.hAPP @t155 @t5670))))) % 6.51/6.71 (assume @p4322 (forall @t365 (=> @t5663 (= @t1407 @t5670)))) % 6.51/6.71 (assume @p4323 (forall @t365 (=> @t5663 (= @t5670 @t1407)))) % 6.51/6.71 (assume @p4324 (forall @t5030 (=> @t4830 (= (tptp.hAPP @t4553 @t5668) @t4554)))) % 6.51/6.71 (assume @p4325 (forall @t4542 (=> @t214 (tptp.c_List_Olinorder__class_Osorted @t8 @t5666)))) % 6.51/6.71 (assume @p4326 (forall @t87 (=> @t4830 (= (tptp.c_List_Olinorder__class_Osort__key @t8 @t47 @t2 @t5157) @t5157)))) % 6.51/6.71 (assume @p4327 (forall @t5030 (=> @t4830 (= (tptp.hAPP @t4752 @t5668) @t4770)))) % 6.51/6.71 (assume @p4328 (forall (@list @t4522 @t2 @t136 @t8 @t47) (=> @t4830 (= (tptp.hAPP @t5468 @t5668) (tptp.c_List_Olinorder__class_Osort__key @t8 @t47 @t2 @t5470))))) % 6.51/6.71 (assume @p4329 (forall @t4566 (=> @t214 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4529 (tptp.c_List_Olinorder__class_Osort__key @t47 @t8 @t2 @t4522)))))) % 6.51/6.71 (assume @p4330 (forall @t4831 (=> @t4830 (= (tptp.c_List_Olinorder__class_Osort__key @t8 @t47 @t2 @t5050) (tptp.hAPP @t4828 @t5668))))) % 6.51/6.71 (assume @p4331 (forall @t997 (=> (and @t5663 @t5675 @t5664) @t5674))) % 6.51/6.71 (assume @p4332 (forall @t997 (=> @t5669 @t5674))) % 6.51/6.71 (assume @p4333 (forall @t4542 (=> @t214 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t4554) (tptp.c_List_Olinorder__class_Osort__key @t8 @t8 @t145 @t5626))))) % 6.51/6.71 (assume @p4334 (forall @t5677 (=> @t5663 (= (tptp.c_Enum_Oex__n__lists @t8 @t136 @t692) (exists @t7 (and @t5676 @t231)))))) % 6.51/6.71 (assume @p4335 (forall @t5677 (=> @t5663 (= (tptp.c_Enum_Oall__n__lists @t8 @t136 @t692) (forall @t7 (=> @t5676 @t231)))))) % 6.51/6.71 (assume @p4336 (forall @t5680 (=> @t5665 @t5679))) % 6.51/6.71 (assume @p4337 (forall @t5680 (=> @t5665 @t5681))) % 6.51/6.71 (assume @p4338 (forall @t1475 (=> @t5663 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t687) @t136)) (or @t5684 (tptp.hBOOL (tptp.hAPP @t5683 @t5682))))))) % 6.51/6.71 (assume @p4339 (forall @t1475 (=> @t5663 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t687) @t136)) (and @t5684 (tptp.hBOOL (tptp.hAPP @t5685 @t5682))))))) % 6.51/6.71 (assume @p4340 (forall @t1475 (=> @t5663 (= @t3097 @t5686)))) % 6.51/6.71 (assume @p4341 (forall @t1475 (=> @t5663 (= @t3096 @t5687)))) % 6.51/6.71 (assume @p4342 (forall @t1475 (=> @t5663 (= @t5686 @t3097)))) % 6.51/6.71 (assume @p4343 (forall @t1475 (=> @t5663 (= @t5687 @t3096)))) % 6.51/6.71 (assume @p4344 (forall @t5680 (=> @t5665 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t1469) @t136)) (tptp.hBOOL (tptp.hAPP @t5685 (tptp.hAPP (tptp.hAPP @t1695 (tptp.c_Enum_Oenum__class_Oenum__all @t47)) @t4046))))))) % 6.51/6.71 (assume @p4345 (forall @t5680 (=> @t5665 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t1469) @t136)) (tptp.hBOOL (tptp.hAPP @t5683 (tptp.hAPP (tptp.hAPP @t1695 (tptp.c_Enum_Oenum__class_Oenum__ex @t47)) @t4046))))))) % 6.51/6.71 (assume @p4346 (forall @t207 (=> @t5689 (= @t205 (tptp.hBOOL (tptp.hAPP @t5685 (tptp.hAPP (tptp.hAPP @t5688 (tptp.hAPP (tptp.hAPP @t2090 @t201) @t2)) @t1))))))) % 6.51/6.71 (assume @p4347 (forall @t207 (=> @t5689 (= @t681 (and @t205 (tptp.hBOOL (tptp.hAPP @t5683 (tptp.hAPP @t1482 (tptp.hAPP (tptp.hAPP @t5688 @t2091) @t1))))))))) % 6.51/6.71 (assume @p4348 (forall @t5680 (=> @t5690 @t5681))) % 6.51/6.71 (assume @p4349 (forall @t5680 (=> @t5690 @t5679))) % 6.51/6.71 (assume @p4350 (forall (@list @t132 @t4703 @t47 @t8) (=> @t5663 (=> (= @t4761 @t5671) (exists @t44 (= (tptp.hAPP (tptp.hAPP @t2254 (tptp.hAPP @t5672 @t4703)) @t132) @t4796)))))) % 6.51/6.71 (assume @p4351 (forall @t5480 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t232 (tptp.hAPP @t4553 @t5633))) @t1486)) (= @t5617 @t5470)))) % 6.51/6.71 (assume @p4352 (forall @t5692 (=> (forall @t2737 (=> @t3478 @t4835)) (=> (=> @t4841 (not @t5691)) (= @t5617 @t4943))))) % 6.51/6.71 (assume @p4353 (forall (@list @t4522 @t8 @t136 @t1190) (=> (forall @t2737 (=> (tptp.hBOOL (tptp.hAPP @t3477 @t1190)) @t4834)) (=> (tptp.hBOOL (tptp.hAPP @t1191 @t4770)) (tptp.hBOOL (tptp.hAPP @t1191 @t5619)))))) % 6.51/6.71 (assume @p4354 (forall @t174 (= @t5694 (tptp.hAPP (tptp.hAPP @t5693 (tptp.hAPP @t5111 @t5150)) (tptp.hAPP @t5111 @t5149))))) % 6.51/6.71 (assume @p4355 (forall (@list @t77 @t51 @t1653 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5695 @t5150)) (=> (tptp.hBOOL (tptp.hAPP @t5695 @t5149)) (tptp.hBOOL (tptp.hAPP @t5694 @t1653)))))) % 6.51/6.71 (assume @p4356 (forall @t199 (tptp.hBOOL (tptp.hAPP @t5696 @t5157)))) % 6.51/6.71 (assume @p4357 (forall @t249 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t8 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1433 @t51)) @t77)) @t61)) (and (tptp.hBOOL (tptp.hAPP @t5696 @t61)) (tptp.hBOOL (tptp.hAPP @t5697 @t61)))))) % 6.51/6.71 (assume @p4358 (forall @t174 (= @t5698 (tptp.hAPP (tptp.hAPP @t5693 @t5696) @t5697)))) % 6.51/6.71 (assume @p4359 (forall (@list @t77 @t1653 @t51 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5696 @t1653)) (=> (tptp.hBOOL (tptp.hAPP @t5697 @t1653)) (tptp.hBOOL (tptp.hAPP @t5698 @t1653)))))) % 6.51/6.71 (assume @p4360 (forall (@list @t4522 @t51 @t8) (= @t5699 (forall @t7 (=> @t4837 @t4996))))) % 6.51/6.71 (assume @p4361 (forall (@list @t4521 @t4522 @t51 @t8) (= (tptp.hBOOL (tptp.hAPP @t5696 @t5321)) (and @t5699 (tptp.hBOOL (tptp.hAPP @t5696 @t4521)))))) % 6.51/6.71 (assume @p4362 (forall (@list @t354 @t352 @t51 @t8) (= (tptp.hBOOL (tptp.hAPP @t5696 (tptp.hAPP @t5062 @t354))) (and (tptp.hBOOL (tptp.hAPP @t51 @t352)) (tptp.hBOOL (tptp.hAPP @t5696 @t354)))))) % 6.51/6.71 (assume @p4363 (forall @t174 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5151 @t5696) @t5697))))) % 6.51/6.71 (assume @p4364 (forall @t336 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t8 @t1512) @t61)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5055 @t61) @t5150))))) % 6.51/6.71 (assume @p4365 (forall @t5618 (= @t5702 (and @t4775 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5701 @t4732)) @t5700)))))) % 6.51/6.71 (assume @p4366 (forall @t14 (=> @t214 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t13) (or @t5464 (exists (@list @t5123 @t3) (and (= @t13 @t5125) (forall @t817 (=> (tptp.hBOOL (tptp.hAPP @t816 (tptp.hAPP @t4553 @t5123))) @t5559)) (tptp.c_List_Olinorder__class_Osorted @t8 @t5123)))))))) % 6.51/6.71 (assume @p4367 (forall (@list @t4521 @t64 @t4522 @t61 @t136 @t47 @t8) (= (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t5050 @t5088) (and @t4026 @t5702)))) % 6.51/6.71 (assume @p4368 (forall (@list @t4911 @t4912 @t2 @t106 @t136 @t47 @t8) (= (tptp.c_List_Olist__all2 @t8 @t47 @t136 (tptp.hAPP @t4740 @t4912) @t4911) (tptp.c_List_Olist__all2 @t106 @t47 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t48 @t106) @t136) @t2) @t4912 @t4911)))) % 6.51/6.71 (assume @p4369 (forall (@list @t4911 @t2 @t106 @t4912 @t136 @t47 @t8) (= (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t4912 (tptp.hAPP @t4571 @t4911)) (tptp.c_List_Olist__all2 @t8 @t106 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t2089 @t778) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t48 (tptp.tc_fun @t2089 @t778) @t8) (tptp.c_COMBB @t47 tptp.tc_HOL_Obool @t106)) @t136)) @t2) @t4912 @t4911)))) % 6.51/6.71 (assume @p4370 (forall (@list @t116 @t18 @t109 @t13 @t136 @t47 @t8) (=> @t5703 (=> (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t18 @t116) (tptp.c_List_Olist__all2 @t8 @t47 @t136 (tptp.hAPP (tptp.hAPP @t5302 @t13) @t18) (tptp.hAPP (tptp.hAPP @t5323 @t109) @t116)))))) % 6.51/6.71 (assume @p4371 (forall (@list @t5357 @t5358 @t136 @t4521 @t47 @t4522 @t8) (=> @t4775 (= (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t5359 (tptp.hAPP @t5337 @t5357)) (and @t5702 (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t5358 @t5357)))))) % 6.51/6.71 (assume @p4372 (forall @t5618 (= (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t5589 @t5704) @t5702))) % 6.51/6.71 (assume @p4373 (forall @t5618 (= (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t5589 @t4521) (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t4522 @t5704)))) % 6.51/6.71 (assume @p4374 (forall (@list @t4521 @t136 @t47 @t8) (= (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t5157 @t4521) (= @t4521 @t5188)))) % 6.51/6.71 (assume @p4375 (forall (@list @t4522 @t136 @t47 @t8) (= (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t4522 @t5188) @t5161))) % 6.51/6.71 (assume @p4376 (forall (@list @t692 @t4911 @t4912 @t136 @t47 @t8) (=> (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t4912 @t4911) (tptp.c_List_Olist__all2 @t8 @t47 @t136 (tptp.hAPP @t5386 @t4912) (tptp.hAPP @t5393 @t4911))))) % 6.51/6.71 (assume @p4377 (forall (@list @t692 @t4521 @t4522 @t136 @t47 @t8) (=> @t5702 (tptp.c_List_Olist__all2 @t8 @t47 @t136 @t4943 (tptp.hAPP @t4940 @t4521))))) % 6.51/6.71 (assume @p4378 (forall @t5618 (=> @t5702 @t4775))) % 6.51/6.71 (assume @p4379 (forall @t4820 (= @t4523 (tptp.c_List_Olist__all2 @t8 @t8 tptp.c_fequal @t4522 @t4521)))) % 6.51/6.71 (assume @p4380 (forall @t5707 (=> @t5702 (=> (tptp.hBOOL (tptp.hAPP @t5706 @t4774)) @t5705)))) % 6.51/6.71 (assume @p4381 (forall @t5707 (=> @t5702 (=> (tptp.hBOOL (tptp.hAPP @t5706 @t4770)) @t5705)))) % 6.51/6.71 (assume @p4382 (forall @t5618 (= @t5702 (and @t4775 (forall @t2737 (=> @t4818 (tptp.hBOOL (tptp.hAPP @t4833 (tptp.hAPP @t4805 @t2734))))))))) % 6.51/6.71 (assume @p4383 (forall (@list @t64 @t61 @t4521 @t136 @t47 @t4522 @t8 @t1034) (=> @t4845 (=> @t5702 (=> @t4026 @t5708))))) % 6.51/6.71 (assume @p4384 (forall (@list @t1034 @t64 @t61 @t4521 @t4522 @t136 @t47 @t8) (=> @t5702 (=> @t4026 (=> @t4908 @t5708))))) % 6.51/6.71 (assume @p4385 (forall (@list @t136 @t109 @t13 @t47 @t8) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5701 (tptp.hAPP @t4619 (tptp.hAPP (tptp.hAPP @t4698 @t13) @t109)))) @t5700)) (=> @t5710 @t5703)))) % 6.51/6.71 (assume @p4386 (forall (@list @t77 @t51 @t18 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5146 @t5159)) (not (forall @t7 (=> @t234 (forall @t44 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t189 @t42) @t951)) (not (= @t18 @t5712)))))))))) % 6.51/6.71 (assume @p4387 (forall @t4715 @t5714)) % 6.51/6.71 (assume @p4388 (forall @t4715 (and @t5715 @t5714))) % 6.51/6.71 (assume @p4389 (forall @t4711 (=> @t4708 (tptp.hBOOL (tptp.hAPP @t4672 @t5716))))) % 6.51/6.71 (assume @p4390 (forall @t5073 (= (tptp.c_List_Oinsert @t8 @t132 @t5625) (tptp.c_List_Oremdups @t8 @t5716)))) % 6.51/6.71 (assume @p4391 (forall @t4715 @t5715)) % 6.51/6.71 (assume @p4392 (forall @t4715 (= (tptp.hAPP @t4553 @t5713) @t4759))) % 6.51/6.71 (assume @p4393 (forall @t134 (= (tptp.c_List_Oinsert @t8 @t132 @t5157) @t5230))) % 6.51/6.71 (assume @p4394 (forall @t4566 (= @t5718 @t5717))) % 6.51/6.71 (assume @p4395 (forall @t5030 (= @t5717 @t5718))) % 6.51/6.71 (assume @p4396 (forall @t87 (= (tptp.c_List_Omaps @t47 @t8 @t2 @t5188) @t5157))) % 6.51/6.71 (assume @p4397 (forall @t4831 (= (tptp.c_List_Omaps @t47 @t8 @t2 @t5065) (tptp.hAPP (tptp.hAPP @t5302 @t67) @t5717)))) % 6.51/6.71 (assume @p4398 (forall @t4542 (=> (tptp.hBOOL (tptp.hAPP @t5644 @t4522)) (=> (forall @t5724 (=> @t5723 (tptp.hBOOL (tptp.hAPP @t4672 @t5143)))) (=> (forall @t5724 (=> @t5723 (forall @t5722 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5055 @t5719) @t5499)) (=> (not (= @t5143 @t5719)) (= (tptp.hAPP (tptp.hAPP @t729 @t5721) @t5720) @t56)))))) (tptp.hBOOL (tptp.hAPP @t4672 @t5592))))))) % 6.51/6.71 (assume @p4399 (forall @t5730 (=> @t4220 (=> @t5729 @t5727)))) % 6.51/6.71 (assume @p4400 (forall @t224 (not (tptp.hBOOL (tptp.hAPP @t4178 (tptp.c_List_Omeasures @t8 (tptp.c_List_Olist_ONil @t5726))))))) % 6.51/6.71 (assume @p4401 (forall @t5732 (= @t5728 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4896 @t8) (tptp.c_List_Olex tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5731 @t4896) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5726 tptp.tc_Nat_Onat) (tptp.tc_fun @t5731 @t4896) @t8) (tptp.c_List_Omap @t5726 tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBC @t5726 @t8 tptp.tc_Nat_Onat) (tptp.c_COMBI @t5726)))) @t5725))))) % 6.51/6.71 (assume @p4402 (forall @t5730 (=> @t4174 @t5727))) % 6.51/6.71 (assume @p4403 (forall (@list @t5725 @t2 @t64 @t61 @t8) (= @t5727 (or @t4174 (and @t4457 @t5729))))) % 6.51/6.71 (assume @p4404 (forall (@list @t1660 @t1449 @t47 @t106 @t8) (= @t5742 (tptp.hAPP @t3908 (tptp.hAPP @t3907 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t923 @t48 @t8) (tptp.hAPP (tptp.c_COMBB @t778 tptp.tc_HOL_Obool @t47) (tptp.c_HOL_OEx @t106))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t923 @t923) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5154 (tptp.tc_fun @t923 @t923) @t8) (tptp.c_COMBB @t778 @t778 @t47)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5740 @t5154 @t8) (tptp.c_COMBS @t106 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t778 @t5740 @t8) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t525 @t106) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5139 @t778) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5739 (tptp.tc_fun @t5139 @t778) @t8) (tptp.c_COMBC @t106 @t5139 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t106 @t4508) @t5739 @t8) (tptp.hAPP (tptp.c_COMBB @t4508 @t5738 @t106) @t5737)) @t4102))) @t1449))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t5734 @t778) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5736 (tptp.tc_fun @t5734 @t778) @t47) (tptp.c_COMBC @t106 @t5734 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t106 @t4742) @t5736 @t47) (tptp.hAPP (tptp.c_COMBB @t4742 @t5735 @t106) @t5733)) (tptp.hAPP (tptp.c_COMBC @t106 @t47 @t4742) @t4254)))) @t1660)))))))) % 6.51/6.71 (assume @p4405 (forall (@list @t354 @t352 @t393 @t8) (= (tptp.c_Wellfounded_Omax__extp @t8 @t393 @t352 @t354) (and @t5747 @t5746 @t5745 (forall @t7 (=> @t5744 (exists @t817 (and @t5743 (tptp.hBOOL (tptp.hAPP @t4431 @t813)))))))))) % 6.51/6.71 (assume @p4406 (forall (@list @t1660 @t18 @t106 @t1449 @t109 @t13 @t47 @t8) (=> @t4364 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3959 (tptp.hAPP (tptp.hAPP @t3958 @t109) @t18)) @t1660)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5737 (tptp.hAPP (tptp.hAPP @t4102 @t13) @t18)) @t5749)))))) % 6.51/6.71 (assume @p4407 (forall (@list @t225 @t1660 @t106 @t77 @t51 @t1449 @t47 @t8) (=> @t5223 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5751 @t1660) (tptp.hAPP (tptp.hAPP @t5183 @t77) (tptp.hAPP @t5182 @t225)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5750 @t5749) (tptp.hAPP @t5241 (tptp.hAPP @t5233 @t225)))))))) % 6.51/6.71 (assume @p4408 (forall (@list @t1660 @t5752 @t106 @t1449 @t4352 @t47 @t8) (=> @t4353 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5751 @t5752) @t1660)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5750 (tptp.hAPP (tptp.hAPP @t5748 @t4352) @t5752)) @t5749)))))) % 6.51/6.71 (assume @p4409 (forall @t5753 (= (tptp.hAPP (tptp.hAPP @t5741 (tptp.c_Orderings_Obot__class_Obot @t5139)) @t393) @t3946))) % 6.51/6.71 (assume @p4410 (forall @t5753 (= (tptp.hAPP @t5754 (tptp.c_Orderings_Obot__class_Obot @t5734)) @t3946))) % 6.51/6.71 (assume @p4411 (forall (@list @t1597 @t392 @t393 @t47 @t106 @t8) (= (tptp.hAPP @t5754 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t5734) @t392) @t1597)) (tptp.hAPP (tptp.hAPP @t3941 (tptp.hAPP @t5754 @t392)) (tptp.hAPP @t5754 @t1597))))) % 6.51/6.71 (assume @p4412 (forall (@list @t393 @t1597 @t392 @t47 @t106 @t8) (= (tptp.hAPP (tptp.hAPP @t5741 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t5139) @t392) @t1597)) @t393) (tptp.hAPP (tptp.hAPP @t3941 (tptp.hAPP (tptp.hAPP @t5741 @t392) @t393)) (tptp.hAPP (tptp.hAPP @t5741 @t1597) @t393))))) % 6.51/6.71 (assume @p4413 (forall (@list @t1597 @t392 @t393 @t4043 @t47 @t106 @t8) (= (tptp.hAPP (tptp.hAPP @t5741 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t4043 @t106) @t393) @t392)) @t1597) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t4043 @t47) @t393) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t4043 @t106 @t47) @t392) @t1597))))) % 6.51/6.71 (assume @p4414 (forall @t282 (=> @t5757 (=> (= (tptp.hAPP (tptp.hAPP @t5755 @t77) @t225) @t4030) (= (tptp.hAPP (tptp.hAPP @t5755 (tptp.hAPP (tptp.hAPP @t4386 @t51) @t77)) @t225) @t4030))))) % 6.51/6.71 (assume @p4415 (forall @t229 (=> (= (tptp.hAPP @t5756 @t77) @t4030) (=> @t5757 (= (tptp.hAPP @t5756 (tptp.hAPP (tptp.hAPP @t4386 @t77) @t225)) @t4030))))) % 6.51/6.71 (assume @p4416 (forall (@list @t1449 @t1085 @t4043 @t1660 @t47 @t106 @t8) (= (tptp.hAPP @t5758 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4043 @t5734) @t1085) @t1449)) (tptp.hAPP @t5759 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5734 @t1470 @t4043) @t5758) @t1449))))) % 6.51/6.71 (assume @p4417 (forall (@list @t1660 @t1449 @t1085 @t4043 @t47 @t106 @t8) (= (tptp.hAPP (tptp.hAPP @t5741 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4043 @t5139) @t1085) @t1449)) @t1660) (tptp.hAPP @t5759 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4043 @t5734 @t1470) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5139 (tptp.tc_fun @t5734 @t1470) @t4043) @t5741) @t1449)) @t1660))))) % 6.51/6.71 (assume @p4418 (forall @t398 (=> @t5766 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5764 (tptp.hAPP (tptp.hAPP @t5763 @t4268) (tptp.hAPP (tptp.hAPP @t5762 (tptp.c_Wellfounded_Omax__ext @t8 @t392)) @t5761))) @t4268))))) % 6.51/6.71 (assume @p4419 (forall @t398 (=> @t5766 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5764 (tptp.hAPP (tptp.hAPP @t5763 @t5767) (tptp.hAPP (tptp.hAPP @t5762 (tptp.c_Wellfounded_Omin__ext @t8 @t392)) @t5761))) @t5767))))) % 6.51/6.71 (assume @p4420 (forall (@list @t64 @t61 @t1660 @t1449 @t106 @t47 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp @t8 @t47 @t106 @t5768 (tptp.hAPP @t3964 @t1660)) @t61) @t64)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5737 @t4103) @t5749))))) % 6.51/6.71 (assume @p4421 (forall @t398 (=> @t5769 (=> @t5766 (tptp.c_FunDef_Oreduction__pair @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t4028 @t4028) @t393) @t392)))))) % 6.51/6.71 (assume @p4422 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 6.51/6.71 (assume @p4423 (forall (@list @t106 @t47 @t8 @t18 @t1660 @t109 @t13 @t1449) (=> @t4131 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1660 @t109) @t18)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5770 @t13) @t18)))))) % 6.51/6.71 (assume @p4424 (forall @t365 (tptp.c_Wellfounded_Owf @t8 @t4030))) % 6.51/6.71 (assume @p4425 (forall @t5772 (=> @t5771 (tptp.c_Wellfounded_Owf @t47 (tptp.hAPP (tptp.hAPP @t4313 @t1449) @t2))))) % 6.51/6.71 (assume @p4426 (forall @t3846 (=> @t5771 (tptp.c_Wellfounded_Owf @t4514 @t4973)))) % 6.51/6.71 (assume @p4427 (forall (@list @t5773 @t47 @t5774 @t8) (=> (tptp.c_Wellfounded_Owf @t8 @t5774) (=> (tptp.c_Wellfounded_Owf @t47 @t5773) (tptp.c_Wellfounded_Owf @t1469 (tptp.c_Wellfounded_Olex__prod @t8 @t47 @t5774 @t5773)))))) % 6.51/6.71 (assume @p4428 (forall @t3846 (=> @t5771 (tptp.c_Wellfounded_Owf @t4514 @t4992)))) % 6.51/6.71 (assume @p4429 (forall @t4476 (tptp.c_Wellfounded_Owf @t8 @t4176))) % 6.51/6.71 (assume @p4430 (forall @t4381 (=> (= @t5775 @t4030) @t5769))) % 6.51/6.71 (assume @p4431 (forall @t4381 (= @t5769 (tptp.c_Wellfounded_Owf @t8 @t5775)))) % 6.51/6.71 (assume @p4432 (forall @t398 (= @t5778 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP (tptp.hAPP @t4386 (tptp.hAPP (tptp.hAPP @t4386 @t5775) (tptp.hAPP (tptp.hAPP @t5755 @t392) @t393))) @t392))))) % 6.51/6.71 (assume @p4433 (forall @t5021 (=> @t5771 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP (tptp.hAPP @t5013 @t4352) @t1449))))) % 6.51/6.71 (assume @p4434 (forall @t5021 (=> @t5771 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t5014 @t4352))))) % 6.51/6.71 (assume @p4435 (forall @t4130 (=> @t5771 (not @t5016)))) % 6.51/6.71 (assume @p4436 (forall (@list @t61 @t13 @t1449 @t8) (=> @t5771 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t4242 @t61)) @t1449)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t4177 @t13)) @t1449))))))) % 6.51/6.71 (assume @p4437 (forall @t5122 (=> @t5771 (tptp.c_Wellfounded_Owf @t4514 @t5005)))) % 6.51/6.71 (assume @p4438 (forall @t3846 (=> @t5771 (tptp.c_Wellfounded_Owf @t55 (tptp.c_Wellfounded_Omax__ext @t8 @t1449))))) % 6.51/6.71 (assume @p4439 (forall @t3846 (=> @t5771 (tptp.c_Wellfounded_Owf @t55 (tptp.c_Wellfounded_Omin__ext @t8 @t1449))))) % 6.51/6.71 (assume @p4440 (forall (@list @t2 @t393 @t8) (=> @t5769 (tptp.c_Wellfounded_Owf @t8 @t4217)))) % 6.51/6.71 (assume @p4441 (forall @t365 (tptp.c_Wellfounded_Owf @t55 @t3917))) % 6.51/6.71 (assume @p4442 (forall (@list @t353 @t352 @t1660 @t1449 @t106 @t47 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5770 @t352) @t353)) (exists @t2359 (and (tptp.hBOOL (tptp.hAPP @t5059 @t2356)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1660 @t2356) @t353))))))) % 6.51/6.71 (assume @p4443 (tptp.c_Wellfounded_Owf @t4109 tptp.c_FunDef_Opair__less)) % 6.51/6.71 (assume @p4444 (forall @t3902 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t3901))) % 6.51/6.71 (assume @p4445 (forall @t3902 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t3903))) % 6.51/6.71 (assume @p4446 (forall @t4562 (=> @t5771 @t4560))) % 6.51/6.71 (assume @p4447 (forall @t3846 (= @t5771 (forall @t7 @t4633)))) % 6.51/6.71 (assume @p4448 (forall @t5779 (=> @t5771 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 @t2866) @t1449)) (tptp.c_Wellfounded_Owf @t8 @t2866))))) % 6.51/6.71 (assume @p4449 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t5781 (tptp.hAPP @t5780 @t1199)))) % 6.51/6.71 (assume @p4450 (forall @t5732 (tptp.c_Wellfounded_Owf @t8 @t5728))) % 6.51/6.71 (assume @p4451 (forall @t3846 (= @t5771 (not (exists @t3317 (forall @t2737 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP (tptp.hAPP @t4073 (tptp.hAPP @t1715 @t3497)) @t4167)) @t1449)))))))) % 6.51/6.71 (assume @p4452 (forall (@list @t51 @t393 @t8) (=> @t5769 (=> (tptp.hBOOL (tptp.hAPP @t172 (tptp.hAPP @t5782 @t51))) @t57)))) % 6.51/6.71 (assume @p4453 (forall @t398 (=> @t5769 (=> @t5783 (=> @t5766 @t5778))))) % 6.51/6.71 (assume @p4454 (forall @t365 (=> (tptp.class_Orderings_Owellorder @t8) (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t4337 (tptp.hAPP @t4336 @t627)))))) % 6.51/6.71 (assume @p4455 (forall @t1475 (= @t4311 (and (tptp.c_Wellfounded_Owf @t8 @t5784) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 (tptp.hAPP (tptp.hAPP @t5755 @t5784) @t5785)) @t5784)))))) % 6.51/6.71 (assume @p4456 (forall (@list @t392 @t393 @t136 @t8) (=> @t4311 (=> (tptp.hBOOL (tptp.hAPP @t5787 @t5784)) (=> (tptp.hBOOL (tptp.hAPP @t5786 @t5785)) (=> @t5783 @t5778)))))) % 6.51/6.71 (assume @p4457 (forall @t5772 (=> @t5771 (=> @t4465 (tptp.c_Wellfounded_Owf @t47 (tptp.hAPP (tptp.c_Set_Oimage @t4027 @t4240 (tptp.c_Product__Type_Omap__pair @t8 @t47 @t8 @t47 @t2 @t2)) @t1449)))))) % 6.51/6.71 (assume @p4458 (forall (@list @t8 @t1 @t2 @t136) (=> (forall @t7 (=> @t231 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 (tptp.hAPP @t2 @t4)) @t5)))) (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t4337 (tptp.hAPP @t4336 (tptp.hAPP (tptp.hAPP @t4394 @t1436) (tptp.hAPP @t1667 @t1)))))))) % 6.51/6.71 (assume @p4459 (forall (@list @t393 @t144 @t157 @t8) (=> @t5240 (=> (tptp.hBOOL (tptp.hAPP @t359 @t144)) (=> (not (= @t144 @t56)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t232 @t157)) (exists @t817 (and (tptp.hBOOL (tptp.hAPP @t816 @t144)) @t5789)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4038 (tptp.hAPP (tptp.hAPP @t4037 @t157) @t144)) @t4268)))))))) % 6.51/6.71 (assume @p4460 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t5781 (tptp.hAPP @t5780 (tptp.hAPP (tptp.hAPP @t5790 (tptp.hAPP @t1424 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 6.51/6.71 (assume @p4461 (forall (@list @t8 @t393 @t47 @t136) (=> (forall @t7 (=> @t231 (tptp.c_Wellfounded_Owf @t47 @t4431))) (tptp.c_Wellfounded_Owf @t1469 @t4258)))) % 6.51/6.71 (assume @p4462 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 6.51/6.71 (assume @p4463 (forall @t365 (= (tptp.c_Nitpick_Ozero__frac @t8) (tptp.c_Nitpick_OAbs__Frac @t8 @t3997)))) % 6.51/6.71 (assume @p4464 (forall (@list @t2 @t47 @t8 @t392) (=> (not (= @t392 @t1337)) (=> (forall @t5791 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1295 @t607) @t392)) (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t607))) (tptp.c_Fun_Oinj__on @t8 @t47 @t2 @t1998))))) % 6.51/6.71 (assume @p4465 (forall @t365 (= (tptp.c_Nitpick_Oone__frac @t8) (tptp.c_Nitpick_OAbs__Frac @t8 (tptp.hAPP (tptp.hAPP @t3920 @t2453) @t2453))))) % 6.51/6.71 (assume @p4466 (forall @t2492 (= (tptp.c_Nitpick_Onumber__of__frac @t8 @t1153) (tptp.c_Nitpick_OAbs__Frac @t8 (tptp.hAPP (tptp.hAPP @t3920 @t1153) @t2453))))) % 6.51/6.71 (assume @p4467 (forall @t410 (= (tptp.hAPP (tptp.hAPP @t5792 @t255) @t38) (tptp.c_Nitpick_OAbs__Frac @t8 (tptp.c_Nitpick_Onorm__frac @t255 @t38))))) % 6.51/6.71 (assume @p4468 (forall @t5680 (= (tptp.hAPP @t5793 (tptp.hAPP (tptp.c_Set_OCollect @t4325) @t5508)) (tptp.hAPP @t1389 (tptp.hAPP @t1696 (tptp.hAPP @t1690 @t136)))))) % 6.51/6.71 (assume @p4469 (forall @t5795 (=> @t4364 (tptp.hBOOL (tptp.hAPP @t322 @t5794))))) % 6.51/6.71 (assume @p4470 (forall @t5798 (= (= @t5797 @t56) (= @t1449 @t5796)))) % 6.51/6.71 (assume @p4471 (forall @t1135 (= (tptp.hAPP @t5793 @t5796) @t56))) % 6.51/6.71 (assume @p4472 (forall @t1078 (= (tptp.hAPP @t5793 (tptp.hAPP (tptp.hAPP @t4354 @t51) @t77)) (tptp.hAPP (tptp.hAPP @t193 @t5800) @t5799)))) % 6.51/6.71 (assume @p4473 (forall @t199 (= (tptp.hAPP @t5801 @t4392) @t51))) % 6.51/6.71 (assume @p4474 (forall @t5803 (=> @t5802 (tptp.hBOOL (tptp.hAPP @t358 @t5794))))) % 6.51/6.71 (assume @p4475 (forall (@list @t392 @t8 @t47) (= (tptp.hAPP @t5793 (tptp.c_Complete__Lattice_OSup__class_OSup @t4327 @t392)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4327 @t55) @t392) @t5793)))) % 6.51/6.71 (assume @p4476 (forall @t4341 (= (tptp.hAPP (tptp.c_Set_Oimage @t4325 @t8 @t4180) @t393) (tptp.hAPP @t5793 @t393)))) % 6.51/6.71 (assume @p4477 (forall @t5804 (= (tptp.hBOOL (tptp.hAPP @t175 @t5797)) (exists @t44 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4326 (tptp.hAPP (tptp.hAPP @t4179 @t42) @t13)) @t1449)))))) % 6.51/6.71 (assume @p4478 (forall (@list @t1449 @t109 @t13 @t8 @t47) (= (tptp.hAPP @t5793 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4325) @t4331) @t1449)) (tptp.hAPP @t111 @t5797)))) % 6.51/6.71 (assume @p4479 (forall @t1083 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t5793 (tptp.hAPP (tptp.hAPP @t5805 @t51) @t77))) (tptp.hAPP (tptp.hAPP @t729 @t5800) @t5799))))) % 6.51/6.71 (assume @p4480 (forall @t1083 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP (tptp.hAPP @t528 @t5800) @t5799)) (tptp.hAPP @t5793 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t4327) @t51) @t77)))))) % 6.51/6.71 (assume @p4481 (forall @t1453 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t8 @t47 @t5768) @t61)) (tptp.hBOOL (tptp.hAPP @t190 @t5794))))) % 6.51/6.71 (assume @p4482 (forall (@list @t1449 @t47 @t109 @t8) (=> (tptp.hBOOL (tptp.hAPP @t188 @t5797)) (not (forall @t7 (not @t4360)))))) % 6.51/6.71 (assume @p4483 (forall @t5807 (=> @t4131 (tptp.hBOOL (tptp.hAPP @t5806 @t109))))) % 6.51/6.71 (assume @p4484 (forall (@list @t354 @t1449 @t47 @t8) (= (tptp.hBOOL (tptp.hAPP @t5806 @t354)) (exists @t1286 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1449 @t476) @t354)))))) % 6.51/6.71 (assume @p4485 (forall @t4385 (=> @t5771 (=> (tptp.c_Wellfounded_Owf @t8 @t1660) (=> (= (tptp.hAPP (tptp.hAPP @t729 @t5809) (tptp.hAPP @t5801 @t1660)) @t56) (tptp.c_Wellfounded_Owf @t8 @t4388)))))) % 6.51/6.71 (assume @p4486 (forall (@list @t1660 @t1 @t356 @t2 @t47 @t106 @t4522 @t8) (=> (forall @t7 (=> @t4837 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t106 @t106 @t47 @t5) @t356) (tptp.hAPP (tptp.c_Fun_Ocomp @t47 @t106 @t47 @t356) @t4)))) (= (tptp.hAPP (tptp.c_List_Ofoldl @t106 @t8 (tptp.hAPP (tptp.c_COMBC @t8 @t106 @t106) @t2) (tptp.hAPP @t356 @t1660)) @t4522) (tptp.hAPP @t356 (tptp.hAPP (tptp.c_List_Ofoldl @t47 @t8 (tptp.hAPP @t2269 @t1) @t1660) @t4522)))))) % 6.51/6.71 (assume @p4487 (forall @t5795 (=> @t4364 @t5812))) % 6.51/6.71 (assume @p4488 (forall @t5803 (= (= @t5811 @t56) (= @t1449 @t3946)))) % 6.51/6.71 (assume @p4489 (forall @t997 (= (tptp.hAPP @t5810 @t3946) @t56))) % 6.51/6.71 (assume @p4490 (forall @t5814 (=> @t5813 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t5811) (tptp.hAPP @t5810 @t1660)))))) % 6.51/6.71 (assume @p4491 (forall @t1083 (= (tptp.hAPP @t5810 (tptp.hAPP (tptp.hAPP @t3941 @t51) @t77)) (tptp.hAPP (tptp.hAPP @t193 @t5816) @t5815)))) % 6.51/6.71 (assume @p4492 (forall @t199 (= (tptp.hAPP @t5808 @t4392) @t51))) % 6.51/6.71 (assume @p4493 (forall @t5803 (=> @t5802 (tptp.hBOOL (tptp.hAPP @t359 @t5811))))) % 6.51/6.71 (assume @p4494 (forall @t5817 (= (tptp.hAPP @t4621 @t393) (tptp.hAPP @t5810 @t393)))) % 6.51/6.71 (assume @p4495 (forall @t5804 (= @t5812 (exists @t44 @t5818)))) % 6.51/6.71 (assume @p4496 (forall @t5795 (= (tptp.hAPP @t5810 (tptp.hAPP @t5239 @t1449)) (tptp.hAPP @t89 @t5811)))) % 6.51/6.71 (assume @p4497 (forall @t1083 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t5810 (tptp.hAPP (tptp.hAPP @t3926 @t51) @t77))) (tptp.hAPP (tptp.hAPP @t729 @t5816) @t5815))))) % 6.51/6.71 (assume @p4498 (forall @t1083 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP (tptp.hAPP @t528 @t5816) @t5815)) (tptp.hAPP @t5810 (tptp.hAPP (tptp.hAPP @t5192 @t51) @t77)))))) % 6.51/6.71 (assume @p4499 (forall @t3846 (= @t4377 (tptp.hAPP (tptp.hAPP @t193 @t5809) @t5819)))) % 6.51/6.71 (assume @p4500 (forall (@list @t392 @t47 @t8) (= (tptp.hAPP @t5810 (tptp.c_Complete__Lattice_OSup__class_OSup @t1470 @t392)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1470 @t55) @t392) @t5810)))) % 6.51/6.71 (assume @p4501 (forall @t4048 (= (tptp.hAPP @t5810 (tptp.hAPP @t3908 @t4205)) (tptp.hAPP @t1389 (tptp.hAPP @t1696 @t136))))) % 6.51/6.71 (assume @p4502 (forall @t1453 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t8 @t47 @t5768) @t61)) (tptp.hBOOL (tptp.hAPP @t155 @t5811))))) % 6.51/6.71 (assume @p4503 (forall @t5804 (=> @t5812 (not (forall @t44 (not @t5818)))))) % 6.51/6.71 (assume @p4504 (forall @t5807 (=> @t4131 (tptp.hBOOL (tptp.hAPP @t5820 @t13))))) % 6.51/6.71 (assume @p4505 (forall (@list @t352 @t1449 @t47 @t8) (= (tptp.hBOOL (tptp.hAPP @t5820 @t352)) (exists @t3095 (tptp.hBOOL (tptp.hAPP @t5059 @t3093)))))) % 6.51/6.71 (assume @p4506 (forall @t3846 (= @t5821 (tptp.c_Wellfounded_Owf @t8 @t5017)))) % 6.51/6.71 (assume @p4507 (forall @t5824 (=> @t5823 (not (forall @t7 (not (= @t64 @t5822))))))) % 6.51/6.71 (assume @p4508 (forall @t365 (tptp.c_Wellfounded_OwfP @t8 (tptp.hAPP @t5165 @t1514)))) % 6.51/6.71 (assume @p4509 (forall @t5779 (=> @t5821 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4138 @t2866) @t1449)) (tptp.c_Wellfounded_OwfP @t8 @t2866))))) % 6.51/6.71 (assume @p4510 (forall @t3846 (= @t5821 (forall @t3095 (tptp.hBOOL (tptp.hAPP @t4127 @t3093)))))) % 6.51/6.71 (assume @p4511 (forall @t4562 (=> @t5821 (tptp.hBOOL (tptp.hAPP @t4127 @t61))))) % 6.51/6.71 (assume @p4512 (forall @t4381 (=> @t5769 (tptp.c_Wellfounded_OwfP @t8 (tptp.c_FunDef_Oin__rel @t8 @t8 @t393))))) % 6.51/6.71 (assume @p4513 (forall @t3846 (= (tptp.c_Wellfounded_OwfP @t8 @t4561) @t5771))) % 6.51/6.71 (assume @p4514 (forall @t3846 (=> @t5821 @t5825))) % 6.51/6.71 (assume @p4515 (forall (@list @t136 @t64) (=> @t5823 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t136 @t5822))) @t5639)))) % 6.51/6.71 (assume @p4516 (forall @t3846 (=> @t5771 @t5826))) % 6.51/6.71 (assume @p4517 (forall @t5827 (=> (tptp.c_Wellfounded_Oacyclic @t8 @t1660) (=> @t4384 @t5826)))) % 6.51/6.71 (assume @p4518 (forall @t3846 (=> @t4390 (= @t5771 @t5826)))) % 6.51/6.71 (assume @p4519 (forall @t3846 (=> @t4390 (=> @t5826 @t5771)))) % 6.51/6.71 (assume @p4520 (forall @t3846 (= (tptp.c_Nitpick_Owf_H @t8 @t1449) (and @t5826 (or @t4390 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 6.51/6.71 (assume @p4521 (forall (@list @t51 @t2 @t106 @t47 @t8 @t1085) (=> (not (= @t1085 @t56)) (=> (forall @t2737 (=> (tptp.hBOOL (tptp.hAPP @t2736 @t1085)) (tptp.c_Fun_Oinj__on @t47 @t106 @t2 (tptp.hAPP @t51 @t2734)))) (tptp.c_Fun_Oinj__on @t47 @t106 @t2 @t1423))))) % 6.51/6.71 (assume @p4522 (forall (@list @t136 @t4521 @t47 @t4522 @t8) (=> (=> (= (tptp.hAPP @t4752 @t5829) (tptp.hAPP @t4750 @t5828)) (tptp.hBOOL (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t4698 @t5829) @t5828)))) (tptp.hBOOL (tptp.hAPP @t136 @t4731))))) % 6.51/6.71 (assume @p4523 (forall @t4626 (=> (= @t5830 (tptp.hAPP @t4553 @t4683)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t232 @t5830)) (= (tptp.hAPP @t4624 @t3) (tptp.hAPP @t4623 @t3)))) @t4625)))) % 6.51/6.71 (assume @p4524 (forall (@list @t61 @t136) (=> (forall @t44 (=> @t5832 (tptp.hBOOL (tptp.hAPP @t136 @t5831)))) @t426))) % 6.51/6.71 (assume @p4525 (forall @t3218 (not (forall @t44 (=> (= @t61 @t5831) (not @t5832)))))) % 6.51/6.71 (assume @p4526 (forall (@list @t690 @t505) (=> (forall @t7 (=> @t1636 (tptp.hBOOL (tptp.hAPP @t1264 @t3)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t2749 @t690) @t505)))) % 6.51/6.71 (assume @p4527 (forall (@list @t8 @t1449 @t47) (=> (forall @t2737 (tptp.c_Wellfounded_OwfP @t47 @t5834)) (=> (forall @t2959 (=> (not (= @t5834 @t5833)) (= (tptp.hAPP (tptp.hAPP @t855 (tptp.c_Predicate_ODomainP @t47 @t47 @t5834)) (tptp.c_Predicate_ORangeP @t47 @t47 @t5833)) @t49))) (tptp.c_Wellfounded_OwfP @t47 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 (tptp.tc_fun @t47 @t48)) @t1407) @t1449)))))) % 6.51/6.71 (assume @p4528 (forall @t5835 (=> @t4838 (= @t5638 (tptp.c_List_OdropWhile @t8 @t136 @t4521))))) % 6.51/6.71 (assume @p4529 (forall (@list @t136 @t109 @t47 @t13 @t8) (=> @t5710 (=> (forall @t2458 (=> (tptp.hBOOL (tptp.hAPP @t4965 @t5709)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t4806 @t13) @t1714)) (tptp.hAPP (tptp.hAPP @t4804 @t109) @t1714))))) @t5703)))) % 6.51/6.71 (assume @p4530 (forall (@list @t2866 @t18 @t106 @t47 @t315 @t8) (=> (tptp.hBOOL (tptp.hAPP @t318 (tptp.hAPP @t4018 @t2866))) (not (forall @t503 (=> (= @t2866 (tptp.hAPP (tptp.hAPP @t3958 @t3) @t42)) (not (tptp.hBOOL (tptp.hAPP @t318 (tptp.hAPP (tptp.hAPP @t18 @t3) @t42)))))))))) % 6.51/6.71 (assume @p4531 (forall (@list @t18 @t315 @t106 @t47 @t8 @t2866) (=> (forall @t4035 (=> (= @t2866 @t4034) (tptp.hBOOL (tptp.hAPP @t5836 (tptp.hAPP (tptp.hAPP @t18 @t476) @t2356))))) (tptp.hBOOL (tptp.hAPP @t5836 (tptp.hAPP (tptp.hAPP @t4023 @t18) @t2866)))))) % 6.51/6.71 (assume @p4532 (forall @t199 (=> @t214 (=> @t363 (exists @t7 (and (= (tptp.hAPP @t4553 @t3) @t51) (tptp.c_List_Olinorder__class_Osorted @t8 @t3) (tptp.hBOOL (tptp.hAPP @t4672 @t3)) (forall @t44 (=> (and (= (tptp.hAPP @t4553 @t42) @t51) (tptp.c_List_Olinorder__class_Osorted @t8 @t42) (tptp.hBOOL (tptp.hAPP @t4672 @t42))) @t4466)))))))) % 6.51/6.71 (assume @p4533 (forall @t5835 (=> @t4838 (= @t5621 (tptp.hAPP @t5303 (tptp.c_List_OtakeWhile @t8 @t136 @t4521)))))) % 6.51/6.71 (assume @p4534 (forall (@list @t13 @t2 @t4522 @t8 @t47) (=> @t4830 (=> (forall @t7 (=> @t4837 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t201 @t80) @t5)))) (= @t5190 (tptp.hAPP @t5080 @t4522)))))) % 6.51/6.71 (assume @p4535 (forall @t4381 (=> (forall @t5791 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t607) (tptp.hAPP @t5782 @t607))) (= @t607 @t56))) @t5769))) % 6.51/6.71 (assume @p4536 (forall (@list @t4522 @t61 @t4521 @t136 @t8) (= (= @t5469 @t5050) @t5837))) % 6.51/6.71 (assume @p4537 (forall @t5622 (= (= @t5050 @t5469) @t5837))) % 6.51/6.71 (assume @p4538 (forall (@list @t283 @t77 @t47 @t225 @t51 @t8) (=> @t266 (=> (forall @t7 (=> @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t951) (tptp.hAPP @t283 @t3))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3943 @t5159) (tptp.hAPP (tptp.hAPP @t5155 @t225) @t283))))))) % 6.51/6.71 (assume @p4539 (forall @t4401 (=> (forall @t44 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t5838 @t61)) @t1449)) (tptp.hBOOL (tptp.hAPP @t3500 @t4559)))) @t4560))) % 6.51/6.71 (assume @p4540 (forall @t5841 (=> (not (tptp.hBOOL (tptp.hAPP @t155 @t5839))) (not (forall @t2086 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t5840 @t61)) @t393)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 @t2085) @t5839)))))))) % 6.51/6.71 (assume @p4541 (forall @t5692 (=> @t4841 (=> @t4838 @t5691)))) % 6.51/6.71 (assume @p4542 (forall (@list @t393 @t354 @t352 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4038 (tptp.hAPP (tptp.hAPP @t4037 @t352) @t354)) @t4268)) (and @t5747 @t5746 @t5745 (forall @t7 (=> @t5744 (exists @t817 (and @t5743 @t5789)))))))) % 6.51/6.71 (assume @p4543 (forall @t4697 (=> @t214 (=> @t5557 (=> @t5553 @t5558))))) % 6.51/6.71 (assume @p4544 (forall (@list @t2 @t1449 @t8) (=> @t5771 (not (forall @t1233 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP (tptp.hAPP @t4073 (tptp.hAPP @t2 (tptp.hAPP tptp.c_Nat_OSuc @t1231))) (tptp.hAPP @t2 @t1231))) @t1449))))))) % 6.51/6.71 (assume @p4545 (forall @t5480 (= @t5843 (exists @t2458 (and @t4966 @t5842))))) % 6.51/6.71 (assume @p4546 (forall @t5656 (= (tptp.c_List_Olist__ex @t8 @t136 @t5050) (or @t426 @t5843)))) % 6.51/6.71 (assume @p4547 (forall @t5480 (= @t5843 (exists @t7 (and @t4837 @t231))))) % 6.51/6.71 (assume @p4548 (forall @t5480 (= (tptp.c_List_Olist__ex @t8 @t136 @t5589) @t5843))) % 6.51/6.71 (assume @p4549 (forall @t5471 (= (tptp.c_List_Olist__ex @t8 @t136 @t5321) (or @t5843 (tptp.c_List_Olist__ex @t8 @t136 @t4521))))) % 6.51/6.71 (assume @p4550 (forall @t1475 (not (tptp.c_List_Olist__ex @t8 @t136 @t5157)))) % 6.51/6.71 (assume @p4551 (forall @t4612 (=> @t1614 (=> @t4454 (=> @t4610 (=> (forall @t1286 (=> @t480 (= (tptp.hAPP @t1 @t476) (tptp.hAPP @t356 (tptp.hAPP @t2 @t476))))) (= (tptp.hAPP @t4604 @t77) (tptp.hAPP (tptp.hAPP @t1601 @t1) @t51)))))))) % 6.51/6.71 (assume @p4552 (forall @t5845 (= @t5844 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t4247 @t67)) (tptp.hAPP @t4245 @t67))))) % 6.51/6.71 (assume @p4553 (forall @t5845 (= @t5844 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t106 @t4043 @t8) @t1) @t67)))) % 6.51/6.71 (assume @p4554 (forall (@list @t61 @t106 @t47 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t47 @t106 @t3956) @t61) @t3958) @t61))) % 6.51/6.71 (assume @p4555 (forall (@list @t2 @t61 @t47 @t106 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t106 @t8 @t47) (tptp.hAPP (tptp.c_Product__Type_OPair @t106 @t8) @t61)) @t2) @t67))) % 6.51/6.71 (assume @p4556 (forall (@list @t356 @t1 @t2 @t4655 @t4042 @t47 @t4043 @t106 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t106 @t4043 @t47) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t4042 @t4655 @t4739) @t2) @t1)) @t356) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t4042 @t4655 @t47) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4042 @t5847 @t5846) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t4655 @t4739) (tptp.tc_fun @t5847 @t5846) @t4042) (tptp.c_Product__Type_Oscomp @t4655 @t106 @t4043 @t47)) @t1)) @t356))))) % 6.51/6.71 (assume @p4557 (forall @t5277 (and (=> @t5275 (= @t5848 @t4207)) (=> @t5276 (= @t5848 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t47 @t8 @t4325) @t67) (tptp.c_Random_Oiterate @t47 @t8 @t5266 @t2))))))) % 6.51/6.71 (assume @p4558 (forall (@list @t1 @t2 @t116 @t109 @t18 @t13 @t8 @t47) (=> (and @t910 @t261) (=> @t118 (=> @t117 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t595 @t3)) (=> (tptp.hBOOL (tptp.hAPP @t1989 @t116)) @t6))) (= (tptp.hAPP @t720 @t2772) (tptp.hAPP @t907 @t2771)))))))) % 6.51/6.71 (assume @p4559 (forall (@list @t1165 @t38) (and (=> @t5854 (= @t5850 @t3881)) (=> (not @t5854) (= @t5850 (tptp.hAPP (tptp.hAPP @t5849 @t3881) (tptp.c_Random_Olog @t38 (tptp.hAPP (tptp.hAPP @t3863 @t1165) @t38)))))))) % 6.51/6.71 (assume @p4560 (forall (@list @t2242 @t1238 @t1161) (and (=> @t5856 (= @t5855 (tptp.hAPP (tptp.hAPP @t3882 (tptp.hAPP (tptp.hAPP @t5849 @t2242) @t1161)) @t1238))) (=> (not @t5856) (= @t5855 (tptp.hAPP (tptp.hAPP @t3882 @t1161) @t1238)))))) % 6.51/6.71 (assume @p4561 (forall (@list @t1161 @t2337) (and (=> @t5858 (= @t5857 @t3881)) (=> (not @t5858) (= @t5857 (tptp.hAPP (tptp.hAPP @t5849 @t1161) @t3881)))))) % 6.51/6.71 (assume @p4562 (forall (@list @t1660 @t8 @t4522) (=> @t5221 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 (tptp.hAPP @t5861 (tptp.hAPP @t5859 @t1660))) @t4554))))) % 6.51/6.71 (assume @p4563 (forall @t5486 (=> (tptp.hBOOL (tptp.hAPP @t5868 @t5867)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 (tptp.hAPP @t5861 (tptp.hAPP @t5865 @t1660))) @t5864))))) % 6.51/6.71 (assume @p4564 (forall @t5421 (=> @t5221 (= (tptp.c_Random_Oselect__weight @t8 @t5870) @t5859)))) % 6.51/6.71 (assume @p4565 (forall @t4715 (= (tptp.c_Random_Oselect__weight @t8 (tptp.hAPP (tptp.hAPP @t5871 (tptp.hAPP (tptp.hAPP @t5869 @t3866) @t61)) @t4522)) @t5865))) % 6.51/6.71 (assume @p4566 (forall @t4542 (= (tptp.c_Random_Oselect__weight @t8 @t5872) @t5865))) % 6.51/6.71 (assume @p4567 (forall @t5524 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5851 @t1034) @t5867)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t154 (tptp.hAPP @t5873 @t1034)) @t5864))))) % 6.51/6.71 (assume @p4568 (forall (@list @t4704 @t132 @t8 @t1165) (and (=> @t5876 (= @t5875 (tptp.hAPP @t5862 @t132))) (=> (not @t5876) (= @t5875 (tptp.hAPP (tptp.c_Random_Opick @t8 @t4704) (tptp.hAPP @t3909 @t5874))))))) % 6.51/6.71 (assume @p4569 (forall @t4542 (= (tptp.c_Random_Opick @t8 @t5872) @t5873))) % 6.51/6.71 (assume @p4570 (forall @t4542 (= @t5865 (tptp.hAPP (tptp.hAPP @t5879 (tptp.c_Random_Orange @t5867)) (tptp.hAPP @t5878 @t5873))))) % 6.51/6.71 (assume @p4571 (forall (@list @t4522 @t8 @t1653) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t1653) @t4770)) (= (tptp.hAPP (tptp.c_Random_Opick @t8 @t5870) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1653)) (tptp.hAPP @t4807 @t1653))))) % 6.51/6.71 (assume @p4572 (forall @t2702 (=> (tptp.hBOOL (tptp.hAPP @t2704 @t1624)) (=> @t5881 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t61) @t5880) @t222))))) % 6.51/6.71 (assume @p4573 (= @t3881 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1615))) % 6.51/6.71 (assume @p4574 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 6.51/6.71 (assume @p4575 (forall @t1160 (= (tptp.hAPP (tptp.hAPP @t5884 @t5883) @t5882) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1911)))) % 6.51/6.71 (assume @p4576 (forall @t1785 (= (= @t5886 @t5885) @t1782))) % 6.51/6.71 (assume @p4577 (= @t3866 @t5887)) % 6.51/6.71 (assume @p4578 (= @t3861 (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_Nat_Onat tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Int_Oint tptp.c_Code__Numeral_Oof__nat) tptp.c_Int_Onat))) % 6.51/6.71 (assume @p4579 (forall @t1785 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5853 @t5886) @t5885)) @t1804))) % 6.51/6.71 (assume @p4580 (forall @t1785 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5851 @t5886) @t5885)) @t1304))) % 6.51/6.71 (assume @p4581 (forall @t1160 (= (tptp.hAPP (tptp.hAPP @t5849 @t5883) @t5882) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1158)))) % 6.51/6.71 (assume @p4582 (forall @t3129 (= (not (= @t1034 @t5887)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5853 @t3881) @t1034))))) % 6.51/6.71 (assume @p4583 (forall (@list @t1306 @t1161) (=> (tptp.hBOOL (tptp.hAPP @t5868 @t1161)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5851 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t5860) (tptp.hAPP (tptp.c_Random_Orange @t1161) @t1306))) @t1161))))) % 6.51/6.71 (assume @p4584 (forall @t4542 (= @t5859 (tptp.hAPP (tptp.hAPP @t5879 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t4770))) (tptp.hAPP @t5878 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Code__Numeral_Ocode__numeral) @t4807) tptp.c_Code__Numeral_Onat__of)))))) % 6.51/6.71 (assume @p4585 (forall @t1160 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t5883) @t5882) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1993)))) % 6.51/6.71 (assume @p4586 (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 @t1624)) % 6.51/6.71 (assume @p4587 (forall @t1160 (= (tptp.hAPP (tptp.hAPP @t5884 @t1153) @t1152) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1721 @t5889) @t5888))))) % 6.51/6.71 (assume @p4588 (forall @t3300 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t132)) @t132))) % 6.51/6.71 (assume @p4589 (forall @t2546 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5890) @t1161))) % 6.51/6.71 (assume @p4590 (forall @t1216 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5883) @t1153))) % 6.51/6.71 (assume @p4591 (forall @t1785 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5851 @t692) @t337)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 @t5892) @t5891))))) % 6.51/6.71 (assume @p4592 (= 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 @t2425) tptp.c_Code__Numeral_Onat__of))) % 6.51/6.71 (assume @p4593 (forall @t3218 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1634 @t5893) @t1624)))) % 6.51/6.71 (assume @p4594 (forall @t2561 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t690) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1653)) @t3656))) % 6.51/6.71 (assume @p4595 (forall @t2702 (= (= @t5893 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t64)) @t222))) % 6.51/6.71 (assume @p4596 (forall @t2546 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t3861 @t1161)) (tptp.hAPP @t3502 @t1161)))) % 6.51/6.71 (assume @p4597 (forall @t1785 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5853 @t692) @t337)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t5892) @t5891))))) % 6.51/6.71 (assume @p4598 (forall @t3434 (= @t5894 (tptp.c_Code__Numeral_Onat__of__aux @t1165 @t2094)))) % 6.51/6.71 (assume @p4599 (forall @t1269 (= @t3910 (tptp.hAPP (tptp.hAPP @t1000 @t5894) @t1153)))) % 6.51/6.71 (assume @p4600 (forall @t2546 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t1161) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t5890))))) % 6.51/6.71 (assume @p4601 (forall @t1160 (= @t5895 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t864 @t5889) @t5888))))) % 6.51/6.71 (assume @p4602 (forall @t5824 (=> @t5881 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5880) @t64)))) % 6.51/6.71 (assume @p4603 (forall @t1160 (= (tptp.hAPP (tptp.hAPP @t5849 @t1153) @t1152) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1000 @t5889) @t5888))))) % 6.51/6.71 (assume @p4604 (forall @t1160 (= @t4051 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t2935 @t5889) @t5888))))) % 6.51/6.71 (assume @p4605 (forall @t1160 (= @t5895 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t1153) @t1152)))) % 6.51/6.71 (assume @p4606 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t3882)) % 6.51/6.71 (assume @p4607 (forall @t1160 (= @t4050 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t5889 @t5888))))) % 6.51/6.71 (assume @p4608 (forall @t2546 (=> (not (= @t1161 @t5887)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1199 (tptp.hAPP (tptp.hAPP @t864 @t5890) @t2095)) @t5890))))) % 6.51/6.71 (assume @p4609 (forall (@list @t1034 @t5896) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t5896) @t1034) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t5896 (tptp.hAPP (tptp.hAPP @t5884 (tptp.hAPP @t3861 @t3737)) @t1034)))))) % 6.51/6.71 (assume @p4610 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP @t5898 @t5897)) @t1205))) % 6.51/6.71 (assume @p4611 (forall @t3846 (=> @t5771 (tptp.c_Wellfounded_Owf @t8 @t5899)))) % 6.51/6.71 (assume @p4612 (= tptp.c_Wellfounded_Oless__than @t5897)) % 6.51/6.71 (assume @p4613 (forall @t3846 (= @t5826 @t5900))) % 6.51/6.71 (assume @p4614 (forall @t4380 (=> @t4402 @t5901))) % 6.51/6.71 (assume @p4615 (forall @t3846 (tptp.hBOOL (tptp.hAPP @t5902 (tptp.hAPP (tptp.hAPP @t5166 @t4377) (tptp.hAPP @t5165 @t4377)))))) % 6.51/6.71 (assume @p4616 (forall @t5906 (=> @t5905 @t5904))) % 6.51/6.71 (assume @p4617 (forall @t365 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t4030) @t4030))) % 6.51/6.71 (assume @p4618 (forall @t3846 (= (tptp.hAPP @t5808 @t5899) @t5809))) % 6.51/6.71 (assume @p4619 (forall @t3846 (= (tptp.hAPP @t5801 @t5899) @t5819))) % 6.51/6.71 (assume @p4620 (forall @t3846 (= (tptp.hBOOL (tptp.hAPP @t4389 @t5899)) @t4390))) % 6.51/6.71 (assume @p4621 (forall @t5912 (=> @t5901 @t5911))) % 6.51/6.71 (assume @p4622 (forall @t5912 (=> @t5901 @t5914))) % 6.51/6.71 (assume @p4623 (forall @t5912 (=> @t4402 @t5911))) % 6.51/6.71 (assume @p4624 (forall (@list @t18 @t393 @t109 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4399 @t393)) (=> (tptp.hBOOL (tptp.hAPP @t5910 @t393)) (tptp.hBOOL (tptp.hAPP @t5907 @t5915)))))) % 6.51/6.71 (assume @p4625 (forall (@list @t1660 @t1449 @t2866 @t8) (=> @t5904 (=> @t4384 (tptp.hBOOL (tptp.hAPP @t5903 (tptp.c_Transitive__Closure_Otrancl @t8 @t1660))))))) % 6.51/6.71 (assume @p4626 (forall @t3846 (= @t5899 (tptp.hAPP @t4387 (tptp.hAPP (tptp.hAPP @t5755 @t5899) @t1449))))) % 6.51/6.71 (assume @p4627 (forall @t5169 (=> @t5168 (tptp.hBOOL (tptp.hAPP @t5902 @t5167))))) % 6.51/6.71 (assume @p4628 (forall @t4385 (=> @t4384 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 (tptp.hAPP (tptp.hAPP @t5755 (tptp.hAPP (tptp.hAPP @t5013 @t5899) @t1660)) @t1449)) @t1660)) (tptp.hBOOL (tptp.hAPP @t5902 @t1660)))))) % 6.51/6.71 (assume @p4629 (forall @t5920 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t5919) (tptp.hAPP @t5917 (tptp.hAPP @t4337 (tptp.hAPP @t4336 (tptp.hAPP (tptp.hAPP @t491 (tptp.hAPP @t1673 (tptp.hAPP @t1433 (tptp.hAPP (tptp.hAPP @t4273 (tptp.hAPP @t4270 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t8 @t4027) @t4073) @t64))) @t5916)))) (tptp.hAPP (tptp.hAPP @t4273 (tptp.hAPP @t4270 @t4177)) @t5916)))))))) % 6.51/6.71 (assume @p4630 (forall @t5026 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1676) @t4561) tptp.c_fequal) @t61) @t64)) (tptp.hBOOL (tptp.hAPP @t4178 @t5922))))) % 6.51/6.71 (assume @p4631 (forall @t5906 (=> @t5905 (tptp.hBOOL (tptp.hAPP @t5903 @t5916))))) % 6.51/6.71 (assume @p4632 (forall @t4634 (tptp.hBOOL (tptp.hAPP @t5015 @t5916)))) % 6.51/6.71 (assume @p4633 (forall @t14 (tptp.hBOOL (tptp.hAPP @t5015 @t5921)))) % 6.51/6.71 (assume @p4634 (forall @t4380 (=> @t5901 @t5923))) % 6.51/6.71 (assume @p4635 (forall @t5148 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t4968 @t4522)) @t5924)))) % 6.51/6.72 (assume @p4636 (forall @t4381 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t5925) @t5925))) % 6.51/6.72 (assume @p4637 (forall @t4381 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t5915) @t5925))) % 6.51/6.72 (assume @p4638 (forall @t3846 (= (tptp.hAPP @t5917 @t5921) @t5916))) % 6.51/6.72 (assume @p4639 (forall @t3846 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t5922) @t5916))) % 6.51/6.72 (assume @p4640 (forall @t3846 (= @t5899 @t5926))) % 6.51/6.72 (assume @p4641 (forall @t3846 (= @t5899 @t5927))) % 6.51/6.72 (assume @p4642 (forall @t5930 (= @t5929 (or @t222 (and @t633 @t5928))))) % 6.51/6.72 (assume @p4643 (forall @t5912 (=> @t4402 @t5932))) % 6.51/6.72 (assume @p4644 (forall (@list @t393 @t109 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4399 @t5925)) (or @t110 (and @t177 (tptp.hBOOL (tptp.hAPP @t4399 @t5915))))))) % 6.51/6.72 (assume @p4645 (forall @t5912 (=> @t5923 @t5914))) % 6.51/6.72 (assume @p4646 (forall @t5912 (=> @t5901 @t5932))) % 6.51/6.72 (assume @p4647 (forall (@list @t315 @t1449 @t64 @t61 @t8) (=> @t5934 (=> (tptp.hBOOL (tptp.hAPP @t4441 @t5899)) (tptp.hBOOL (tptp.hAPP @t5933 @t5899)))))) % 6.51/6.72 (assume @p4648 (forall @t5912 (=> @t5923 @t5936))) % 6.51/6.72 (assume @p4649 (forall @t5912 (=> @t5923 (=> @t5913 @t5935)))) % 6.51/6.72 (assume @p4650 (forall @t5912 (=> @t4402 @t5936))) % 6.51/6.72 (assume @p4651 (forall @t4385 (=> @t4384 @t5939))) % 6.51/6.72 (assume @p4652 (forall @t398 (=> (tptp.hBOOL (tptp.hAPP @t5787 @t392)) (=> (tptp.hBOOL (tptp.hAPP @t5786 @t5925)) (= @t5940 @t5925))))) % 6.51/6.72 (assume @p4653 (forall @t4385 (=> (tptp.hBOOL (tptp.hAPP @t4383 @t5937)) @t5939))) % 6.51/6.72 (assume @p4654 (forall @t398 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 @t5943) @t5941)))) % 6.51/6.72 (assume @p4655 (forall (@list @t157 @t1449 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t4393 @t157)) @t157)) (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t5916) @t157) @t157)))) % 6.51/6.72 (assume @p4656 (forall @t5827 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 @t5921) @t1660)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 (tptp.hAPP (tptp.hAPP @t5755 (tptp.hAPP (tptp.hAPP @t5013 @t5916) @t1660)) @t1449)) @t1660)) (tptp.hBOOL (tptp.hAPP @t5938 @t1660)))))) % 6.51/6.72 (assume @p4657 (forall @t4381 (= (tptp.hAPP (tptp.hAPP @t5755 @t5925) @t5925) @t5925))) % 6.51/6.72 (assume @p4658 (forall @t3846 (= @t5926 @t5927))) % 6.51/6.72 (assume @p4659 (forall @t3846 (= @t5916 (tptp.hAPP (tptp.hAPP @t4386 @t5921) @t5927)))) % 6.51/6.72 (assume @p4660 (forall @t4381 (= (tptp.c_Transitive__Closure_Ortrancl @t8 (tptp.hAPP @t5776 @t5921)) @t5925))) % 6.51/6.72 (assume @p4661 (forall @t398 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t5943) @t5941))) % 6.51/6.72 (assume @p4662 (forall @t4381 (= (tptp.hAPP @t5942 @t5921) @t5925))) % 6.51/6.72 (assume @p4663 (forall @t365 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t4030) @t5921))) % 6.51/6.72 (assume @p4664 (forall (@list @t392 @t393 @t61 @t8) (=> (or (tptp.hBOOL (tptp.hAPP @t5944 @t5925)) (tptp.hBOOL (tptp.hAPP @t5944 @t5940))) (tptp.hBOOL (tptp.hAPP @t5944 @t5941))))) % 6.51/6.72 (assume @p4665 (forall @t3846 (tptp.c_Relation_Orefl__on @t8 @t1407 @t5916))) % 6.51/6.72 (assume @p4666 (forall @t3846 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t5916) @t5916))) % 6.51/6.72 (assume @p4667 (forall @t3846 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t5945) @t5916))) % 6.51/6.72 (assume @p4668 (forall @t4381 (= (tptp.hAPP @t5801 @t5925) @t1407))) % 6.51/6.72 (assume @p4669 (forall @t4381 (= (tptp.hAPP @t5808 @t5925) @t1407))) % 6.51/6.72 (assume @p4670 (forall (@list @t4719 @t1449 @t4521 @t4522 @t8) (=> @t5946 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t5144 @t4719)) @t5924)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4959 (tptp.hAPP @t4968 @t4719)) @t5924)))))) % 6.51/6.72 (assume @p4671 (forall @t365 (= (tptp.hAPP @t5808 @t5921) @t1407))) % 6.51/6.72 (assume @p4672 (forall @t365 (= (tptp.hAPP @t5801 @t5921) @t1407))) % 6.51/6.72 (assume @p4673 (forall @t3846 (= @t5924 @t5947))) % 6.51/6.72 (assume @p4674 (forall @t199 (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t5921) @t51) @t51))) % 6.51/6.72 (assume @p4675 (forall @t365 (tptp.c_Relation_Orefl__on @t8 @t1407 @t5921))) % 6.51/6.72 (assume @p4676 (forall @t5817 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t47 @t47) @t393) (tptp.c_Relation_OId @t47)) @t393))) % 6.51/6.72 (assume @p4677 (forall @t5817 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t8 @t47) @t5921) @t393) @t393))) % 6.51/6.72 (assume @p4678 (forall @t3846 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4975 (tptp.c_List_Olistrel1 @t8 @t5916)) @t5947)))) % 6.51/6.72 (assume @p4679 (forall @t114 (= (tptp.hBOOL (tptp.hAPP @t4399 @t5921)) @t110))) % 6.51/6.72 (assume @p4680 (forall @t5105 (=> @t5934 (=> @t5948 (tptp.hBOOL (tptp.hAPP @t5052 @t5947)))))) % 6.51/6.72 (assume @p4681 (forall @t3846 (tptp.hBOOL (tptp.hAPP @t4976 @t5947)))) % 6.51/6.72 (assume @p4682 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t4262 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t4109)))) % 6.51/6.72 (assume @p4683 (forall (@list @t64 @t393 @t61 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP @t5808 @t393)))) (= @t5929 @t222)))) % 6.51/6.72 (assume @p4684 (forall (@list @t1449 @t13 @t109 @t8) (=> @t5949 (=> @t4631 @t4632)))) % 6.51/6.72 (assume @p4685 (forall (@list @t109 @t1449 @t13 @t8) (=> @t4631 (=> @t5949 @t4632)))) % 6.51/6.72 (assume @p4686 (forall @t5920 (= (tptp.c_Wellfounded_Owf @t8 @t5919) (and @t5771 @t5950)))) % 6.51/6.72 (assume @p4687 (forall @t5097 (=> @t5948 (tptp.hBOOL (tptp.hAPP @t5096 @t5947))))) % 6.51/6.72 (assume @p4688 (forall @t4962 (=> (tptp.hBOOL (tptp.hAPP @t4960 @t5947)) @t4972))) % 6.51/6.72 (assume @p4689 (forall @t5920 (= (tptp.c_Wellfounded_Oacyclic @t8 @t5919) (and @t5826 @t5950)))) % 6.51/6.72 (assume @p4690 (forall @t4971 (=> @t5023 @t5946))) % 6.51/6.72 (assume @p4691 (forall @t4971 (=> @t4970 @t5948))) % 6.51/6.72 (assume @p4692 (forall @t3846 (tptp.c_Relation_Orefl__on @t8 @t1407 @t5922))) % 6.51/6.72 (assume @p4693 (forall @t365 (= @t5921 (tptp.hAPP @t4337 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t55 tptp.tc_HOL_Obool @t4027) @t1671) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4027 @t4272 @t55) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4028 (tptp.tc_fun @t4272 @t55) @t4027) (tptp.c_COMBB @t4027 tptp.tc_HOL_Obool @t8)) tptp.c_fequal)) @t4391)))))) % 6.51/6.72 (assume @p4694 (forall @t3846 (tptp.c_Relation_Oirrefl @t8 @t5945))) % 6.51/6.72 (assume @p4695 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP @t5898 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t1208))) % 6.51/6.72 (assume @p4696 (forall (@list @t51 @t1449 @t109 @t13 @t8) (=> @t5923 (=> @t5168 @t312)))) % 6.51/6.72 (assume @p4697 (forall @t4562 (=> (= (tptp.hAPP (tptp.hAPP @t5013 @t5953) @t5916) @t4030) (not (tptp.hBOOL (tptp.hAPP @t5951 @t5899)))))) % 6.51/6.72 (assume @p4698 (forall (@list @t690 @t1034 @t1449 @t2 @t8) (=> (forall @t2737 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP (tptp.hAPP @t4073 (tptp.hAPP @t2 @t3497)) @t2735)) @t5916))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP (tptp.hAPP @t4073 (tptp.hAPP @t2 @t1189)) @t2724)) @t5916))))) % 6.51/6.72 (assume @p4699 (forall @t4962 (=> @t5956 @t5954))) % 6.51/6.72 (assume @p4700 (forall @t5920 (=> @t5954 @t5956))) % 6.51/6.72 (assume @p4701 (forall @t3846 (= @t5955 (tptp.hAPP @t5952 @t5916)))) % 6.51/6.72 (assume @p4702 (forall @t365 (= (tptp.hAPP @t5952 @t5921) @t5921))) % 6.51/6.72 (assume @p4703 (forall @t4962 (= (tptp.hBOOL (tptp.hAPP @t4960 @t5958)) (tptp.hBOOL (tptp.hAPP @t4960 @t5957))))) % 6.51/6.72 (assume @p4704 (forall @t5795 (=> @t5963 @t5960))) % 6.51/6.72 (assume @p4705 (forall @t5795 (=> @t4364 (tptp.hBOOL (tptp.hAPP @t5959 @t5964))))) % 6.51/6.72 (assume @p4706 (forall @t5795 (= @t5963 @t5960))) % 6.51/6.72 (assume @p4707 (forall @t3846 (= (tptp.c_Wellfounded_Oacyclic @t8 @t5953) @t5826))) % 6.51/6.72 (assume @p4708 (forall @t5966 (= (tptp.hAPP @t5961 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t106 @t4327) @t392) @t1449)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t106 @t1470) @t392) @t5965)))) % 6.51/6.72 (assume @p4709 (forall @t4397 (=> @t4405 @t5968))) % 6.51/6.72 (assume @p4710 (forall @t5969 (= (tptp.hAPP @t5961 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t47 @t106 @t8) @t1449) @t1660)) (tptp.hAPP (tptp.hAPP @t5741 (tptp.hAPP (tptp.c_Relation_Oconverse @t106 @t8) @t1660)) (tptp.hAPP (tptp.c_Relation_Oconverse @t47 @t106) @t1449))))) % 6.51/6.72 (assume @p4711 (forall @t5971 (= (tptp.hAPP @t5961 (tptp.hAPP (tptp.hAPP @t4354 @t1449) @t1660)) (tptp.hAPP (tptp.hAPP @t3941 @t5962) @t5970)))) % 6.51/6.72 (assume @p4712 (forall @t4397 (= (tptp.c_Relation_Orefl__on @t8 @t51 @t5953) @t5007))) % 6.51/6.72 (assume @p4713 (forall @t3846 (= @t5958 @t5957))) % 6.51/6.72 (assume @p4714 (forall @t5803 (= (tptp.hBOOL (tptp.hAPP @t1472 @t5962)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t4325) @t1449))))) % 6.51/6.72 (assume @p4715 (forall @t3846 (= (tptp.hAPP @t4376 @t5953) @t4377))) % 6.51/6.72 (assume @p4716 (forall @t5798 (= (tptp.hAPP @t5961 @t5964) @t1449))) % 6.51/6.72 (assume @p4717 (forall @t199 (= (tptp.hAPP @t5952 @t4392) @t4392))) % 6.51/6.72 (assume @p4718 (forall @t5966 (= (tptp.hAPP @t5961 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t106 @t4327) @t392) @t1449)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t106 @t1470) @t392) @t5965)))) % 6.51/6.72 (assume @p4719 (forall @t5971 (= (tptp.hAPP @t5961 (tptp.hAPP (tptp.hAPP @t5805 @t1449) @t1660)) (tptp.hAPP (tptp.hAPP @t3926 @t5962) @t5970)))) % 6.51/6.72 (assume @p4720 (forall (@list @t2 @t393 @t47 @t8) (= (tptp.hAPP @t5952 (tptp.hAPP (tptp.hAPP @t4338 @t393) @t2)) (tptp.hAPP (tptp.hAPP @t4338 (tptp.hAPP (tptp.c_Relation_Oconverse @t47 @t47) @t393)) @t2)))) % 6.51/6.72 (assume @p4721 (forall @t5798 (= (tptp.hAPP @t5793 @t5964) @t5811))) % 6.51/6.72 (assume @p4722 (forall @t5803 (= @t5972 @t5797))) % 6.51/6.72 (assume @p4723 (forall @t5798 (= @t5797 @t5972))) % 6.51/6.72 (assume @p4724 (forall @t4962 (=> @t5976 @t5974))) % 6.51/6.72 (assume @p4725 (forall @t4962 (=> @t5974 @t5976))) % 6.51/6.72 (assume @p4726 (forall @t3846 (= @t5975 @t5973))) % 6.51/6.72 (assume @p4727 (forall @t3846 (=> @t5977 (tptp.c_Wellfounded_Owf @t8 @t5973)))) % 6.51/6.72 (assume @p4728 (forall (@list @t77 @t51 @t1449 @t47 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t4361) @t77)) (tptp.hBOOL (tptp.hAPP @t5219 (tptp.hAPP @t1578 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t47 @t5962) @t1317))))))) % 6.51/6.72 (assume @p4729 (forall @t4397 (=> @t5007 (tptp.hBOOL (tptp.hAPP @t4383 @t5967))))) % 6.51/6.72 (assume @p4730 (forall @t5169 (=> @t5968 (=> (= @t5809 @t51) @t4405)))) % 6.51/6.72 (assume @p4731 (forall @t3846 (=> @t4390 (=> @t5826 @t5977)))) % 6.51/6.72 (assume @p4732 (forall @t5798 (= @t5962 (tptp.hAPP @t3908 (tptp.hAPP @t3907 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4327 @t48) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5978 (tptp.tc_fun @t4327 @t48) @t8) (tptp.c_COMBC @t47 @t4327 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t47 @t4325) @t5978 @t8) (tptp.hAPP (tptp.c_COMBB @t4325 @t4328 @t47) @t4326)) @t4491))) @t1449)))))) % 6.51/6.72 (assume @p4733 (forall (@list @t77 @t106 @t51 @t1449 @t47 @t8) (=> (tptp.c_Relation_Osingle__valued @t8 @t47 @t5962) (=> (not (= @t51 (tptp.c_Orderings_Obot__class_Obot @t778))) (= @t4358 @t4355))))) % 6.51/6.72 (assume @p4734 (forall @t4397 (= (tptp.c_Relation_Ototal__on @t8 @t51 @t5945) @t5979))) % 6.51/6.72 (assume @p4735 (forall @t365 (tptp.c_Relation_Osingle__valued @t8 @t8 @t5921))) % 6.51/6.72 (assume @p4736 (forall @t4397 (= (tptp.c_Relation_Ototal__on @t8 @t51 @t5953) @t5979))) % 6.51/6.72 (assume @p4737 (forall @t199 (tptp.c_Relation_Osingle__valued @t8 @t8 @t4392))) % 6.51/6.72 (assume @p4738 (forall @t3846 (tptp.c_Relation_Ototal__on @t8 @t56 @t1449))) % 6.51/6.72 (assume @p4739 (forall (@list @t1660 @t106 @t1449 @t47 @t8) (=> @t5980 (=> (tptp.c_Relation_Osingle__valued @t47 @t106 @t1660) (tptp.c_Relation_Osingle__valued @t8 @t106 @t5749))))) % 6.51/6.72 (assume @p4740 (forall @t5814 (=> @t5813 (=> (tptp.c_Relation_Osingle__valued @t8 @t47 @t1660) @t5980)))) % 6.51/6.72 (assume @p4741 (forall @t5803 (= @t5980 (forall @t503 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 @t5712) @t1449)) (forall @t2086 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 @t5981) @t1449)) (= @t42 @t2085)))))))) % 6.51/6.72 (assume @p4742 (forall (@list @t315 @t64 @t61 @t1449 @t47 @t8) (=> @t5980 (=> (tptp.hBOOL (tptp.hAPP @t3931 @t1449)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 (tptp.hAPP @t3928 @t315)) @t1449)) @t1772))))) % 6.51/6.72 (assume @p4743 (forall @t4397 (= @t5979 (forall @t7 (=> @t234 (forall @t817 (=> @t2314 (=> @t815 (or (tptp.hBOOL (tptp.hAPP @t5788 @t1449)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP (tptp.hAPP @t4073 @t813) @t3)) @t1449))))))))))) % 6.51/6.72 (assume @p4744 (forall (@list @t315 @t64 @t61 @t1449 @t8) (=> (tptp.c_Relation_Osingle__valued @t8 @t8 @t1449) (=> @t5934 (=> (tptp.hBOOL (tptp.hAPP @t5933 @t5916)) (or (tptp.hBOOL (tptp.hAPP @t4441 @t5916)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP (tptp.hAPP @t4073 @t315) @t64)) @t5916)))))))) % 6.51/6.72 (assume @p4745 (forall @t4348 (=> (tptp.c_Relation_Osingle__valued @t8 @t47 (tptp.hAPP @t5961 @t393)) (= @t4347 @t4346)))) % 6.51/6.72 (assume @p4746 (forall @t5985 (=> @t5984 (tptp.hBOOL (tptp.hAPP @t5903 @t5983))))) % 6.51/6.72 (assume @p4747 (forall @t3846 (=> @t5900 @t5826))) % 6.51/6.72 (assume @p4748 (forall @t5987 (=> (tptp.c_Relation_Osingle__valued @t8 @t8 @t393) (tptp.c_Relation_Osingle__valued @t8 @t8 @t5986)))) % 6.51/6.72 (assume @p4749 (forall (@list @t2 @t692 @t8) (= (tptp.hAPP (tptp.hAPP @t5988 @t1780) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t8 @t2) @t5990)))) % 6.51/6.72 (assume @p4750 (forall (@list @t2 @t692 @t47 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t203 @t203) @t692) (tptp.c_Fun_Ocomp @t47 @t47 @t8 @t2)) (tptp.c_Fun_Ocomp @t47 @t47 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t47 @t47) @t692) @t2))))) % 6.51/6.72 (assume @p4751 (forall (@list @t61 @t692 @t8 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t5990 @t61)) (tptp.hAPP @t5990 @t67)))) % 6.51/6.72 (assume @p4752 (forall @t5991 (=> (tptp.c_Wellfounded_Owf @t8 @t5986) @t5769))) % 6.51/6.72 (assume @p4753 (forall @t2897 (= (tptp.hAPP @t5989 @t5992) (tptp.hAPP (tptp.hAPP @t5988 @t1828) @t2)))) % 6.51/6.72 (assume @p4754 (forall @t4381 (= (tptp.hAPP (tptp.hAPP @t5982 @t1615) @t393) @t393))) % 6.51/6.72 (assume @p4755 (forall @t5991 (= @t5994 @t5993))) % 6.51/6.72 (assume @p4756 (forall @t5987 (= (tptp.hAPP @t5765 @t5986) @t5993))) % 6.51/6.72 (assume @p4757 (forall (@list @t393 @t692 @t337 @t8) (= (tptp.hAPP (tptp.hAPP @t5982 @t2148) @t393) (tptp.hAPP (tptp.hAPP @t5755 (tptp.hAPP (tptp.hAPP @t5982 @t337) @t393)) @t5986)))) % 6.51/6.72 (assume @p4758 (forall (@list @t692 @t315 @t393 @t64 @t61 @t8) (=> @t4219 (=> (tptp.hBOOL (tptp.hAPP @t4441 @t5986)) @t5995)))) % 6.51/6.72 (assume @p4759 (forall (@list @t315 @t393 @t692 @t64 @t61 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4178 @t5986)) (=> (tptp.hBOOL (tptp.hAPP @t4441 @t393)) @t5995)))) % 6.51/6.72 (assume @p4760 (forall @t5841 (tptp.hBOOL (tptp.hAPP @t5951 @t5996)))) % 6.51/6.72 (assume @p4761 (forall @t5930 (=> (tptp.hBOOL (tptp.hAPP @t4178 @t5996)) @t222))) % 6.51/6.72 (assume @p4762 (forall @t4381 (= @t5996 @t5921))) % 6.51/6.72 (assume @p4763 (forall (@list @t393 @t692 @t2866 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5903 @t5986)) @t5984))) % 6.51/6.72 (assume @p4764 (forall @t5985 (= @t5984 (exists @t2458 @t5997)))) % 6.51/6.72 (assume @p4765 (forall @t2894 (= (tptp.hAPP (tptp.hAPP @t5988 @t2148) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t8 @t5992) @t5990)))) % 6.51/6.72 (assume @p4766 (forall @t4476 (= (tptp.hAPP (tptp.hAPP @t5988 @t2094) @t2) @t5293))) % 6.51/6.72 (assume @p4767 (forall @t5985 (= (tptp.hBOOL (tptp.hAPP @t5903 @t5915)) (exists @t2458 (and @t3307 @t5997))))) % 6.51/6.72 (assume @p4768 (forall @t4381 (= @t5925 @t5983))) % 6.51/6.72 (assume @p4769 (forall @t365 (= (tptp.c_Nat_Ofunpow @t8) @t5988))) % 6.51/6.72 (assume @p4770 (forall @t6005 (=> @t6004 (=> @t6003 (not (forall @t6002 (=> @t2247 (=> @t6001 (not (tptp.hBOOL (tptp.hAPP @t5999 @t5998))))))))))) % 6.51/6.72 (assume @p4771 (forall @t2439 (= @t5432 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t4514 @t4514) @t692) @t5378)))) % 6.51/6.72 (assume @p4772 (forall @t6005 (=> @t6004 (=> @t6003 (not (forall @t6002 (=> @t2247 (=> (tptp.hBOOL (tptp.hAPP @t6000 @t5998)) @t6006)))))))) % 6.51/6.72 (assume @p4773 (forall (@list @t6007 @t6008 @t6009 @t393) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t393 @t6009 @t6008 @t6007) (tptp.c_New__DSequence_Opos__not__seq @t6010)))) % 6.51/6.72 (assume @p4774 (forall @t6014 (=> @t6013 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t4242 @t3)) @t6011)) (forall @t44 (=> (tptp.hBOOL (tptp.hAPP @t4443 @t135)) @t4684)))) @t6012)))) % 6.51/6.72 (assume @p4775 (forall @t6014 (=> @t6013 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t4074 @t109)) @t6011)) (forall @t44 (=> (tptp.hBOOL (tptp.hAPP @t6015 @t135)) @t4466)))) @t6012)))) % 6.51/6.72 (assume @p4776 (forall @t6005 (=> @t5995 (exists @t44 (and @t6001 @t6016))))) % 6.51/6.72 (assume @p4777 (forall @t6005 (=> @t5995 (not (forall @t44 (=> @t6001 (not @t6016))))))) % 6.51/6.72 (assume @p4778 (forall @t6005 (=> @t5995 (not (forall @t44 (=> (tptp.hBOOL (tptp.hAPP @t6000 @t5986)) @t6006)))))) % 6.51/6.72 (assume @p4779 (forall @t5930 (=> @t5928 (exists @t2086 (and (tptp.hBOOL (tptp.hAPP @t6018 @t5925)) (tptp.hBOOL (tptp.hAPP @t6017 @t393))))))) % 6.51/6.72 (assume @p4780 (forall @t5930 (=> @t5928 (exists @t2086 (and (tptp.hBOOL (tptp.hAPP @t6018 @t393)) (tptp.hBOOL (tptp.hAPP @t6017 @t5925))))))) % 6.51/6.72 (assume @p4781 (forall (@list @t2866 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5903 @t5921)) (not (forall @t7 (not (= @t2866 @t4075))))))) % 6.51/6.72 (assume @p4782 (forall (@list @t690 @t2 @t692 @t337) (=> (forall @t2737 (=> (and @t6019 @t3478) @t3476)) (=> @t1205 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t2892) @t690)) (=> @t3475 (exists @t2737 (and @t6019 @t3474 @t3473)))))))) % 6.51/6.72 (assume @p4783 (forall @t4715 (= @t4701 (exists @t5724 (and (exists @t5722 @t6020) (not (tptp.hBOOL (tptp.hAPP @t155 @t5721)))))))) % 6.51/6.72 (assume @p4784 (forall @t4715 (= @t4701 (exists @t6021 @t6020)))) % 6.51/6.72 (assume @p4785 (forall @t4715 (= @t4701 (exists @t6021 (and @t6020 (not (tptp.hBOOL (tptp.hAPP @t155 @t5720)))))))) % 6.51/6.72 (assume @p4786 (forall @t410 (=> @t2770 (= @t255 @t3380)))) % 6.51/6.72 (assume @p4787 (forall @t3846 (= @t5771 (forall (@list @t6022) (=> (exists @t7 @t6023) (exists @t7 (and @t6023 (forall @t44 (=> (tptp.hBOOL (tptp.hAPP @t6015 @t1449)) (not (tptp.hBOOL (tptp.hAPP @t3500 @t6022)))))))))))) % 6.51/6.72 (assume @p4788 (forall (@list @t384 @t136) (=> (forall @t7 (=> @t2715 (= @t231 (tptp.hBOOL (tptp.hAPP @t384 @t3))))) (= @t2685 (tptp.hAPP @t2684 (tptp.hAPP @t2683 @t384)))))) % 6.51/6.72 (assume @p4789 (forall (@list @t135 @t136 @t77 @t51 @t8) (=> @t173 (=> (forall @t7 (=> @t234 (=> @t231 (tptp.hBOOL @t3201)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t1392) (tptp.hAPP @t748 @t1438))))))) % 6.51/6.72 (assume @p4790 (forall @t2968 (=> @t1293 (not (forall @t2080 (=> @t3498 (not @t3499))))))) % 6.51/6.72 (assume @p4791 (forall (@list @t1449 @t6024 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 @t6024) @t5962)) (not (forall @t503 (=> (= @t6024 (tptp.hAPP (tptp.hAPP @t3927 @t42) @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4326 (tptp.hAPP @t4359 @t42)) @t1449))))))))) % 6.51/6.72 (assume @p4792 (forall (@list @t1660 @t1449 @t106 @t6025 @t47 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 @t6025) @t5742)) (not (forall (@list @t3 @t42 @t2085) (=> (= @t6025 @t5981) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5737 (tptp.hAPP (tptp.hAPP @t4102 @t3) @t42)) @t1449)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5733 (tptp.hAPP (tptp.hAPP @t4254 @t42) @t2085)) @t1660)))))))))) % 6.51/6.72 (assume @p4793 (forall @t6032 (= (tptp.c_Nitpick_Oplus__frac @t8 @t2967 @t1449) (tptp.hAPP (tptp.hAPP @t3772 (tptp.c_Nitpick_Oint__lcm @t6031 @t6027)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t3873 tptp.tc_Int_Oint) @t5792) (tptp.hAPP (tptp.hAPP @t3671 (tptp.hAPP @t3912 (tptp.hAPP (tptp.hAPP @t6030 (tptp.hAPP @t2466 (tptp.hAPP @t6029 @t2967))) (tptp.hAPP @t6028 @t6031)))) (tptp.hAPP (tptp.hAPP @t6030 (tptp.hAPP @t2466 (tptp.hAPP @t6029 @t1449))) (tptp.hAPP @t6028 @t6027))))) @t3668))))) % 6.51/6.72 (assume @p4794 (forall (@list @t2242 @t2440 @t8) (= (tptp.c_Nitpick_Otimes__frac @t8 @t2440 @t2242) (tptp.hAPP (tptp.hAPP @t5792 (tptp.hAPP (tptp.hAPP @t2466 @t6034) (tptp.hAPP @t6029 @t2242))) (tptp.hAPP (tptp.hAPP @t2466 @t6033) (tptp.hAPP @t6026 @t2242)))))) % 6.51/6.72 (assume @p4795 (forall (@list @t2440 @t8 @t47) (=> (and (tptp.class_Rings_Oinverse @t47) (tptp.class_Rings_Oring__1 @t47)) (= (tptp.c_Nitpick_Oof__frac @t8 @t47 @t2440) (tptp.hAPP (tptp.hAPP @t2975 (tptp.hAPP @t6035 @t6034)) (tptp.hAPP @t6035 @t6033)))))) % 6.51/6.72 (assume @p4796 (forall @t6036 (= (tptp.c_Nitpick_Oinverse__frac @t8 @t2440) (tptp.hAPP (tptp.hAPP @t5792 @t6033) @t6034)))) % 6.51/6.72 (assume @p4797 (forall @t6036 (= (tptp.c_Nitpick_Ouminus__frac @t8 @t2440) (tptp.c_Nitpick_OAbs__Frac @t8 (tptp.hAPP (tptp.hAPP @t3920 (tptp.hAPP @t2427 @t6034)) @t6033))))) % 6.51/6.72 (assume @p4798 (forall @t6032 (= (tptp.c_Nitpick_Oless__frac @t8 @t2967 @t1449) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2429 @t6037) @t2450))))) % 6.51/6.72 (assume @p4799 (forall @t6032 (= (tptp.c_Nitpick_Oless__eq__frac @t8 @t2967 @t1449) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2448 @t6037) @t2450))))) % 6.51/6.72 (assume @p4800 (forall @t365 (= @t6026 (tptp.hAPP (tptp.c_Fun_Ocomp @t3899 tptp.tc_Int_Oint @t8 @t4171) @t6038)))) % 6.51/6.72 (assume @p4801 (forall @t365 (= @t6029 (tptp.hAPP (tptp.c_Fun_Ocomp @t3899 tptp.tc_Int_Oint @t8 @t4186) @t6038)))) % 6.51/6.72 (assume @p4802 (forall @t904 (=> @t6040 (=> (forall @t7 (=> @t234 (tptp.hBOOL (tptp.hAPP @t6039 @t5)))) (tptp.hBOOL (tptp.hAPP @t6039 @t2109)))))) % 6.51/6.72 (assume @p4803 (forall @t5480 (= @t6041 (forall @t2458 (=> @t4966 @t5842))))) % 6.51/6.72 (assume @p4804 (forall @t5656 (= (tptp.c_List_Olist__all @t8 @t136 @t5050) (and @t426 @t6041)))) % 6.51/6.72 (assume @p4805 (forall @t1475 (tptp.c_List_Olist__all @t8 @t136 @t5157))) % 6.51/6.72 (assume @p4806 (forall @t5471 (= (tptp.c_List_Olist__all @t8 @t136 @t5321) (and @t6041 (tptp.c_List_Olist__all @t8 @t136 @t4521))))) % 6.51/6.72 (assume @p4807 (forall @t5480 (= (tptp.c_List_Olist__all @t8 @t136 @t5589) @t6041))) % 6.51/6.72 (assume @p4808 (forall @t5480 (= @t6041 @t4838))) % 6.51/6.72 (assume @p4809 (forall @t4839 (= @t4838 @t6041))) % 6.51/6.72 (assume @p4810 (forall @t5656 (= (tptp.c_List_Olist__ex1 @t8 @t136 @t5050) (and (=> @t426 (tptp.c_List_Olist__all @t8 (tptp.hAPP (tptp.hAPP @t1435 (tptp.hAPP @t1515 @t1483)) @t523) @t4522)) (=> @t5473 @t6042))))) % 6.51/6.72 (assume @p4811 (forall (@list @t106 @t47 @t8) (= (tptp.c_Product__Type_Ointernal__split @t8 @t47 @t106) @t3985))) % 6.51/6.72 (assume @p4812 (forall @t1475 (=> @t5663 (= (exists @t7 (and @t231 (forall @t44 (=> @t1692 @t4466)))) (tptp.c_List_Olist__ex1 @t8 @t136 @t5667))))) % 6.51/6.72 (assume @p4813 (forall @t1475 (not (tptp.c_List_Olist__ex1 @t8 @t136 @t5157)))) % 6.51/6.72 (assume @p4814 (forall (@list @t109 @t13 @t18 @t8 @t106 @t47) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t47 @t106 @t8) @t18) @t4017) @t4019))) % 6.51/6.72 (assume @p4815 (forall @t5480 (= @t6042 (exists @t7 (and @t4837 @t231 (forall @t44 (=> (and (tptp.hBOOL (tptp.hAPP @t3500 @t4554)) @t1692) @t4466))))))) % 6.51/6.72 (assume @p4816 (forall @t904 (=> @t6040 (=> (forall @t7 (=> @t234 @t2382)) (tptp.hBOOL (tptp.hAPP @t2357 @t2109)))))) % 6.51/6.72 (assume @p4817 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t2094)) % 6.51/6.72 (assume @p4818 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t2094)) % 6.51/6.72 (assume @p4819 (forall (@list @t1137 @t2) (=> (forall @t2458 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1184 @t1714) (tptp.hAPP @t2 @t1714)))) (tptp.hBOOL (tptp.hAPP @t1427 (tptp.hAPP @t1426 (tptp.hAPP (tptp.hAPP @t1424 (tptp.hAPP (tptp.hAPP @t5790 @t1184) @t2)) @t1137))))))) % 6.51/6.72 (assume @p4820 (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) @t3435))) % 6.51/6.72 (assume @p4821 (forall @t6044 (=> @t6043 (tptp.c_FunDef_Ois__measure @t4325 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 tptp.tc_Nat_Onat @t4325) @t2) @t4180))))) % 6.51/6.72 (assume @p4822 (forall @t4476 @t6043)) % 6.51/6.72 (assume @p4823 (forall @t14 (tptp.c_FunDef_Ois__measure @t8 @t13))) % 6.51/6.72 (assume @p4824 (forall @t365 (=> (tptp.class_Nat_Osize @t8) (tptp.c_FunDef_Ois__measure @t8 (tptp.c_Nat_Osize__class_Osize @t8))))) % 6.51/6.72 (assume @p4825 (forall @t6044 (=> @t6043 (tptp.c_FunDef_Ois__measure @t1469 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 tptp.tc_Nat_Onat @t1469) @t2) @t4194))))) % 6.51/6.72 (assume @p4826 (forall @t207 (=> (and (tptp.class_HOL_Oequal @t47) @t5663) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oequal__class_Oequal @t203) @t2) @t1)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t232 @t5670)) @t6)))))) % 6.51/6.72 (assume @p4827 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2425 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 6.51/6.72 (assume @p4828 (forall @t365 (=> @t5675 (= tptp.c_fequal @t6045)))) % 6.51/6.72 (assume @p4829 (forall @t224 (=> @t5675 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6045 @t61) @t64)) @t222)))) % 6.51/6.72 (assume @p4830 (forall @t134 (=> @t5675 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6045 @t132) @t132))))) % 6.51/6.72 (assume @p4831 (forall @t365 (=> @t5675 (= @t6045 tptp.c_fequal)))) % 6.51/6.72 (assume @p4832 (= (tptp.hAPP @t6046 tptp.c_fTrue) @t2094)) % 6.51/6.72 (assume @p4833 (= (tptp.hAPP @t6046 tptp.c_fFalse) @t2094)) % 6.51/6.72 (assume @p4834 (forall (@list @t5896 @t8) (= (tptp.hAPP @t6050 @t5896) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t6055 @t2094 (tptp.hAPP @t6054 (tptp.hAPP (tptp.c_COMBK @t6053 @t8) (tptp.hAPP (tptp.hAPP @t6052 (tptp.hAPP @t6051 @t6050)) @t1615)))) @t6048)))) % 6.51/6.72 (assume @p4835 (forall @t6062 (and (=> @t6059 (= @t6058 @t6061)) (=> @t6060 (= @t6058 (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t47 @t8 @t6057) @t6056)))))) % 6.51/6.72 (assume @p4836 (not (tptp.hBOOL (tptp.hAPP @t6064 tptp.c_Int_OMin)))) % 6.51/6.72 (assume @p4837 (not (tptp.hBOOL (tptp.hAPP @t6065 tptp.c_Int_OPls)))) % 6.51/6.72 (assume @p4838 (forall @t6068 (= (tptp.hBOOL (tptp.hAPP @t6067 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t6066 tptp.c_Int_OMin))))) % 6.51/6.72 (assume @p4839 (forall @t6069 (= (tptp.hBOOL (tptp.hAPP @t6065 @t3649)) (tptp.hBOOL (tptp.hAPP @t6065 @t3646))))) % 6.51/6.72 (assume @p4840 (forall @t6072 (not (tptp.hBOOL (tptp.hAPP @t6071 tptp.c_Int_OMin))))) % 6.51/6.72 (assume @p4841 (forall @t6075 (not (tptp.hBOOL (tptp.hAPP @t6065 @t6074))))) % 6.51/6.72 (assume @p4842 (forall @t6072 (not (tptp.hBOOL (tptp.hAPP @t6076 tptp.c_Int_OPls))))) % 6.51/6.72 (assume @p4843 (forall @t6075 (not (tptp.hBOOL (tptp.hAPP @t6064 @t6077))))) % 6.51/6.72 (assume @p4844 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP @t6079 @t3815)) @t6078))) % 6.51/6.72 (assume @p4845 (tptp.hBOOL (tptp.hAPP @t6064 tptp.c_Int_OPls))) % 6.51/6.72 (assume @p4846 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP @t6067 @t3649)) @t6078))) % 6.51/6.72 (assume @p4847 (forall @t2561 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6063 @t3636) @t3635)) @t6080))) % 6.51/6.72 (assume @p4848 (tptp.hBOOL (tptp.hAPP @t6065 tptp.c_Int_OMin))) % 6.51/6.72 (assume @p4849 (forall @t2561 (= @t6080 (= @t2558 @t2450)))) % 6.51/6.72 (assume @p4850 (forall @t6081 (not (tptp.hBOOL (tptp.hAPP @t6076 @t6074))))) % 6.51/6.72 (assume @p4851 (forall @t6081 (not (tptp.hBOOL (tptp.hAPP @t6071 @t6077))))) % 6.51/6.72 (assume @p4852 (forall @t6068 (= (tptp.hBOOL (tptp.hAPP @t6079 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t6066 tptp.c_Int_OPls))))) % 6.51/6.72 (assume @p4853 (forall @t6069 (= (tptp.hBOOL (tptp.hAPP @t6064 @t3815)) (tptp.hBOOL (tptp.hAPP @t6064 @t3646))))) % 6.51/6.72 (assume @p4854 (forall (@list @t5896 @t1660 @t8) (= (tptp.hAPP @t6082 @t5896) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t6055 @t2094 (tptp.hAPP @t6054 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 tptp.tc_Nat_Onat @t6053) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6083 (tptp.tc_fun tptp.tc_Nat_Onat @t6053) @t8) @t6052) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6053 @t6083 @t8) @t6051) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t6053 @t6053) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3199 (tptp.tc_fun @t6053 @t6053) @t8) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t6049)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3199 @t8) @t1000) @t1660))) @t6082)))) @t1615))) @t6048)))) % 6.51/6.72 (assume @p4855 (forall @t6088 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t47 @t8 @t393 @t2 @t6009 @t6008 @t6007) (tptp.c_New__DSequence_Opos__decr__bind @t47 @t8 @t6010 @t6087)))) % 6.51/6.72 (assume @p4856 (forall @t2546 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6063 @t1161) @t1161)))) % 6.51/6.72 (assume @p4857 (forall (@list @t5896 @t1 @t2 @t47 @t8) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t8 @t47 @t2 @t1 @t5896) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t8 (tptp.tc_prod @t47 @t6089) @t2 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t47 @t6089 @t8) @t1)) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield @t47) @t5896))))) % 6.51/6.72 (assume @p4858 (forall @t365 (= (tptp.c_Lazy__Sequence_Oyieldn @t8) (tptp.c_Lazy__Sequence_Oanamorph @t6049 @t8 @t6047)))) % 6.51/6.72 (assume @p4859 (forall (@list @t6090 @t8) (= (tptp.hAPP @t6091 @t6090) @t6061))) % 6.51/6.72 (assume @p4860 (forall @t6093 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t47 @t8 @t61 @t2) @t1034) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t47 @t8 @t6092) @t6056)))) % 6.51/6.72 (assume @p4861 (forall (@list @t6007 @t6008 @t6009 @t8) (= (tptp.c_New__Random__Sequence_Opos__empty @t8 @t6009 @t6008 @t6007) @t6091))) % 6.51/6.72 (assume @p4862 (forall @t6088 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t47 @t8 @t393 @t2) @t6009) @t6008) @t6007) (tptp.c_New__DSequence_Opos__bind @t47 @t8 @t6010 @t6087)))) % 6.51/6.72 (assume @p4863 (forall (@list @t6094 @t255 @t8) (= (tptp.hAPP @t6050 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t255 @t6094)) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t6050 @t6094)) @t2095)))) % 6.51/6.72 (assume @p4864 (forall (@list @t6095 @t13 @t2351 @t8) (= (tptp.hAPP @t6096 @t6097) (tptp.hAPP (tptp.hAPP @t1000 (tptp.hAPP @t2415 (tptp.hAPP @t6096 @t6095))) @t2095)))) % 6.51/6.72 (assume @p4865 (forall (@list @t6095 @t13 @t616 @t456 @t47 @t8) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t8 @t47 @t456 @t616 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t47 @t13 @t6095)) (tptp.hAPP @t617 @t6095)))) % 6.51/6.72 (assume @p4866 (forall (@list @t6098 @t132 @t8) (= (tptp.hAPP @t6047 @t6099) (tptp.hAPP (tptp.c_Option_Ooption_OSome @t6055) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t8 @t6049) @t132) @t6098))))) % 6.51/6.72 (assume @p4867 (forall (@list @t6100 @t151 @t6095 @t13 @t8) (= (= @t6097 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t151 @t6100)) (and @t152 (= @t6095 @t6100))))) % 6.51/6.72 (assume @p4868 (forall @t6102 (= (tptp.c_New__Random__Sequence_Opos__map @t47 @t8 @t2 @t136) (tptp.c_New__Random__Sequence_Opos__bind @t47 @t8 @t136 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6086) @t47 @t6101) @t2))))) % 6.51/6.72 (assume @p4869 (forall @t6062 (and (=> @t6059 (= @t6105 @t6106)) (=> @t6060 (= @t6105 (tptp.c_Lazy__Sequence_Ohb__bind @t47 @t8 @t6057 @t6104)))))) % 6.51/6.72 (assume @p4870 (forall @t6088 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t47 @t8 @t393 @t2 @t6009 @t6008 @t6007) (tptp.c_New__DSequence_Oneg__decr__bind @t47 @t8 @t6010 @t6110)))) % 6.51/6.72 (assume @p4871 (forall @t6111 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6101 @t61) @t6009) @t6008) @t6007) (tptp.c_New__DSequence_Opos__single @t8 @t61)))) % 6.51/6.72 (assume @p4872 (forall @t6112 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t8 @t132) @t6090) (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle @t8) @t132)))) % 6.51/6.72 (assume @p4873 (forall @t6093 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t47 @t8 @t61 @t2) @t1034) (tptp.c_Lazy__Sequence_Ohb__bind @t47 @t8 @t6092 @t6104)))) % 6.51/6.72 (assume @p4874 (forall @t6088 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t47 @t8 @t393 @t2) @t6009) @t6008) @t6007) (tptp.c_New__DSequence_Oneg__bind @t47 @t8 @t6010 @t6110)))) % 6.51/6.72 (assume @p4875 (forall (@list @t6115 @t6116 @t47 @t8) (= (tptp.c_Lazy__Sequence_Oproduct @t8 @t47 @t6116 @t6115) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t8 @t1469 @t6116) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6114 @t6113 @t8) (tptp.c_Lazy__Sequence_Obind @t47 @t1469 @t6115)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3934 @t6114 @t8) (tptp.hAPP (tptp.c_COMBB @t1469 @t6113 @t47) (tptp.c_Lazy__Sequence_Osingle @t1469))) @t3927)))))) % 6.51/6.72 (assume @p4876 (forall @t6102 (= (tptp.c_New__Random__Sequence_Oneg__map @t47 @t8 @t2 @t136) (tptp.c_New__Random__Sequence_Oneg__bind @t47 @t8 @t136 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6109) @t47 @t6117) @t2))))) % 6.51/6.72 (assume @p4877 (forall (@list @t116 @t8) (=> @t6121 (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4514 @t116) (tptp.c_Lazy__Sequence_Oappend @t4514 (tptp.hAPP @t6118 @t5157) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t6119) @t3294) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t5121 @t4514 (tptp.c_Lazy__Sequence_Oproduct @t8 @t4514 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t8 @t6120) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4514 @t6120))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t4514 @t6119) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5113 (tptp.tc_fun @t4514 @t6119) @t8) (tptp.hAPP (tptp.c_COMBB @t4514 @t6119 @t4514) @t6118)) @t5046)))) (tptp.c_Lazy__Sequence_Oempty @t4514))))))) % 6.51/6.72 (assume @p4878 (forall (@list @t446 @t47 @t8) (=> (and @t6121 (tptp.class_Lazy__Sequence_Osmall__lazy @t47)) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t1469 @t446) (tptp.c_Lazy__Sequence_Oproduct @t8 @t47 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t8 @t446) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t47 @t446)))))) % 6.51/6.72 (assume @p4879 (forall (@list @t6122 @t6098 @t132 @t8) (= (tptp.c_Lazy__Sequence_Oappend @t8 @t6099 @t6122) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t132 (tptp.c_Lazy__Sequence_Oappend @t8 @t6098 @t6122))))) % 6.51/6.72 (assume @p4880 (forall @t6111 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6117 @t61) @t6009) @t6008) @t6007) (tptp.c_New__DSequence_Oneg__single @t8 @t61)))) % 6.51/6.72 (assume @p4881 (forall (@list @t1034 @t6123 @t5896 @t8) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__union @t8 @t5896 @t6123) @t1034) (tptp.c_Lazy__Sequence_Oappend @t8 @t6124 (tptp.hAPP @t6123 @t1034))))) % 6.51/6.72 (assume @p4882 (forall @t6112 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t8 @t132) @t6090) (tptp.c_Lazy__Sequence_Ohb__single @t8 @t132)))) % 6.51/6.72 (assume @p4883 (forall @t6127 (= (tptp.c_New__Random__Sequence_Opos__union @t8 @t4136 @t4137 @t6009 @t6008 @t6007) (tptp.c_New__DSequence_Opos__union @t8 @t6126 @t6125)))) % 6.51/6.72 (assume @p4884 (forall (@list @t1165 @t446) (and (=> @t6130 (= @t6129 @t6131)) (=> (not @t6130) (= @t6129 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t6128 @t1165) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t446 @t5251))))))) % 6.51/6.72 (assume @p4885 (forall (@list @t1034 @t116) (=> (tptp.hBOOL (tptp.hAPP @t6133 @t4157)) (and (=> @t2729 (= @t6132 @t6131)) (=> @t2730 (= @t6132 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t6128 @t1034) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t116 @t2726)))))))) % 6.51/6.72 (assume @p4886 (forall (@list @t446) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy tptp.tc_Int_Oint @t446) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t446 (tptp.hAPP @t2427 @t446))))) % 6.51/6.72 (assume @p4887 (forall @t4156 (=> (tptp.hBOOL (tptp.hAPP @t6133 @t4155)) (=> (forall (@list @t2299 @t2734) (=> (tptp.hBOOL (tptp.hAPP @t6133 @t4169)) (=> (=> @t4168 (tptp.hBOOL (tptp.hAPP @t2300 @t4166))) (tptp.hBOOL (tptp.hAPP @t2300 @t2734))))) @t4149)))) % 6.51/6.72 (assume @p4888 (forall (@list @t6134 @t5896 @t8) (= (tptp.c_Lazy__Sequence_Ohb__flat @t8 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert (tptp.tc_Option_Ooption @t6103) @t5896 @t6134)) (tptp.c_Lazy__Sequence_Oappend @t687 (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t6103 @t6103 @t6106 (tptp.c_COMBI @t6103)) @t5896) (tptp.c_Lazy__Sequence_Ohb__flat @t8 @t6134))))) % 6.51/6.72 (assume @p4889 (forall (@list @t1034 @t64 @t61 @t8) (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__union @t8 @t61 @t64) @t1034) (tptp.c_Lazy__Sequence_Oappend @t687 @t6092 (tptp.hAPP @t64 @t1034))))) % 6.51/6.72 (assume @p4890 (forall (@list @t2 @t5896 @t8 @t47) (= (tptp.c_Lazy__Sequence_Ohb__bind @t47 @t8 @t5896 @t2) (tptp.c_Lazy__Sequence_Ohb__flat @t8 (tptp.c_Lazy__Sequence_Ohb__map @t47 @t6103 @t2 @t5896))))) % 6.51/6.72 (assume @p4891 (forall (@list @t5896 @t61 @t2 @t8 @t47) (= (tptp.c_Lazy__Sequence_Ohb__map @t47 @t8 @t2 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t693 @t61 @t5896)) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t687 (tptp.hAPP @t2082 @t61) (tptp.c_Lazy__Sequence_Ohb__map @t47 @t8 @t2 @t5896))))) % 6.51/6.72 (assume @p4892 (forall @t6127 (= (tptp.c_New__Random__Sequence_Oneg__union @t8 @t4136 @t4137 @t6009 @t6008 @t6007) (tptp.c_New__DSequence_Oneg__union @t8 @t6126 @t6125)))) % 6.51/6.72 (assume @p4893 (forall (@list @t1034 @t5896 @t2 @t8 @t47) (= (tptp.c_New__DSequence_Oneg__map @t47 @t8 @t2 @t5896 @t1034) (tptp.c_Lazy__Sequence_Ohb__map @t47 @t8 @t2 @t6124)))) % 6.51/6.72 (assume @p4894 (forall @t4767 (= (tptp.hAPP @t4752 @t6135) @t5333))) % 6.51/6.72 (assume @p4895 (forall @t3846 (= (tptp.c_Wellfounded_Oacyclic @t8 (tptp.hAPP @t4337 (tptp.hAPP @t4336 (tptp.c_Predicate_Oconversep @t8 @t8 @t1449)))) @t5825))) % 6.51/6.72 (assume @p4896 (forall @t5971 (= (tptp.c_Predicate_Oconversep @t47 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1060) @t1449) @t1660)) (tptp.hAPP (tptp.hAPP @t3942 @t6137) @t6136)))) % 6.51/6.72 (assume @p4897 (forall (@list @t4703 @t210 @t4704 @t132 @t8) (= (tptp.c_List_Osplice @t8 @t5068 @t5352) (tptp.hAPP @t5067 (tptp.hAPP @t5070 @t6135))))) % 6.51/6.72 (assume @p4898 (forall @t5037 (= (tptp.c_List_Osplice @t8 @t4704 @t5157) @t4704))) % 6.51/6.72 (assume @p4899 (forall @t5344 (= (tptp.c_List_Osplice @t8 @t5157 @t4703) @t4703))) % 6.51/6.72 (assume @p4900 (forall @t5971 (= (tptp.c_Predicate_Oconversep @t47 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1060) @t1449) @t1660)) (tptp.hAPP (tptp.hAPP @t3939 @t6137) @t6136)))) % 6.51/6.72 (assume @p4901 (forall @t224 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t8 @t8 (tptp.hAPP (tptp.hAPP @t4394 @t1482) tptp.c_fequal)) @t61) @t64)) @t633))) % 6.51/6.72 (assume @p4902 (forall @t6141 (=> @t6140 @t6138))) % 6.51/6.72 (assume @p4903 (forall @t5807 (=> @t4131 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6139 @t109) @t13))))) % 6.51/6.72 (assume @p4904 (forall (@list @t352 @t354 @t1449 @t47 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6139 @t354) @t352)) @t5060))) % 6.51/6.72 (assume @p4905 (forall @t6141 (= @t6140 @t6138))) % 6.51/6.72 (assume @p4906 (forall @t5798 (= (tptp.c_Predicate_Oconversep @t47 @t8 @t6139) @t1449))) % 6.51/6.72 (assume @p4907 (forall @t365 (= (tptp.c_Predicate_Oconversep @t8 @t8 tptp.c_fequal) tptp.c_fequal))) % 6.51/6.72 (assume @p4908 (forall @t5969 (= (tptp.c_Predicate_Oconversep @t47 @t8 (tptp.c_Predicate_Opred__comp @t47 @t106 @t8 @t1449 @t1660)) (tptp.c_Predicate_Opred__comp @t8 @t106 @t47 (tptp.c_Predicate_Oconversep @t106 @t8 @t1660) (tptp.c_Predicate_Oconversep @t47 @t106 @t1449))))) % 6.51/6.72 (assume @p4909 (forall (@list @t64 @t61 @t1449 @t47 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t8 @t47 @t5768) @t61) @t64)) (tptp.hBOOL (tptp.hAPP @t4639 @t5964))))) % 6.51/6.72 (assume @p4910 (forall (@list @t6142 @t2337 @t8) (= (tptp.c_List_Osplice @t8 @t6143 @t5157) @t6143))) % 6.51/6.72 (assume @p4911 (forall @t6145 (=> @t2143 (= (tptp.hAPP @t5423 @t6144) (tptp.c_List_Oreplicate @t8 @t2345 @t132))))) % 6.51/6.72 (assume @p4912 (forall @t4381 (= (tptp.c_Predicate_Opred__comp @t8 @t8 @t8 tptp.c_fequal (tptp.c_Predicate_Opred__comp @t8 @t8 @t8 @t393 tptp.c_fequal)) @t393))) % 6.51/6.72 (assume @p4913 (forall (@list @t61 @t692 @t2 @t8 @t47) (= (tptp.hAPP @t4529 (tptp.c_List_Oreplicate @t47 @t692 @t61)) (tptp.c_List_Oreplicate @t8 @t692 @t67)))) % 6.51/6.72 (assume @p4914 (forall (@list @t132 @t1152 @t1153 @t8) (= (tptp.c_List_Oreplicate @t8 @t1158 @t132) (tptp.hAPP @t6146 (tptp.c_List_Oreplicate @t8 @t1152 @t132))))) % 6.51/6.72 (assume @p4915 (forall (@list @t132 @t8 @t1153 @t1165) (=> @t4938 (= (tptp.hAPP (tptp.hAPP @t4806 @t6144) @t1165) @t132)))) % 6.51/6.72 (assume @p4916 (forall (@list @t64 @t692 @t61 @t337 @t8) (= (= (tptp.c_List_Oreplicate @t8 @t337 @t61) @t6147) (and @t1203 (=> (not @t2147) @t222))))) % 6.51/6.72 (assume @p4917 (forall @t6150 (= (tptp.hAPP @t4936 @t6149) (tptp.c_List_Oreplicate @t8 (tptp.hAPP @t6148 @t1161) @t132)))) % 6.51/6.72 (assume @p4918 (forall @t6145 (=> @t2143 (= (tptp.c_List_Olast @t8 @t6144) @t132)))) % 6.51/6.72 (assume @p4919 (forall @t6145 (=> @t2143 (= (tptp.hAPP @t5412 @t6144) @t132)))) % 6.51/6.72 (assume @p4920 (forall @t6150 (= (tptp.hAPP @t5394 @t6149) (tptp.c_List_Oreplicate @t8 (tptp.hAPP (tptp.hAPP @t864 @t1161) @t1165) @t132)))) % 6.51/6.72 (assume @p4921 (forall @t6152 (= (forall @t7 (=> @t6151 @t231)) (or @t1430 @t2145)))) % 6.51/6.72 (assume @p4922 (forall @t6152 (= (exists @t7 (and @t6151 @t231)) (and @t1430 @t2146)))) % 6.51/6.72 (assume @p4923 (forall @t6153 (= (tptp.hAPP @t5588 @t6144) @t6144))) % 6.51/6.72 (assume @p4924 (forall (@list @t1161 @t132 @t1153 @t8) (= (tptp.hAPP @t6146 @t6149) (tptp.hAPP (tptp.hAPP @t5302 @t6149) @t6144)))) % 6.51/6.72 (assume @p4925 (forall (@list @t1165 @t8) (= (tptp.c_List_Oconcat @t8 (tptp.c_List_Oreplicate @t4514 @t1165 @t5157)) @t5157))) % 6.51/6.72 (assume @p4926 (forall @t134 (= (tptp.c_List_Oreplicate @t8 @t2094 @t132) @t5157))) % 6.51/6.72 (assume @p4927 (forall @t6155 (= (= @t5157 @t6154) @t2145))) % 6.51/6.72 (assume @p4928 (forall @t6155 (= (= @t6154 @t5157) @t2145))) % 6.51/6.72 (assume @p4929 (forall (@list @t692 @t8 @t61 @t136) (and (=> @t426 (= @t6156 @t6154)) (=> @t5473 (= @t6156 @t5157))))) % 6.51/6.72 (assume @p4930 (forall @t5085 (= (tptp.hAPP @t6146 @t5068) (tptp.hAPP @t5067 (tptp.hAPP @t6146 @t4704))))) % 6.51/6.72 (assume @p4931 (forall @t6153 (= (tptp.c_List_Oreplicate @t8 @t1716 @t132) (tptp.hAPP @t5067 @t6144)))) % 6.51/6.72 (assume @p4932 (forall (@list @t64 @t692 @t61 @t8) (= (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP @t4553 @t6147))) (and @t222 @t2146)))) % 6.51/6.72 (assume @p4933 (forall (@list @t132 @t1165 @t8) (= (tptp.hAPP (tptp.hAPP @t5302 @t6157) @t5230) (tptp.hAPP @t5067 @t6157)))) % 6.51/6.72 (assume @p4934 (forall (@list @t6158 @t690 @t8 @t47) (= (tptp.hAPP (tptp.hAPP @t4528 (tptp.hAPP @t2162 @t690)) @t6158) (tptp.c_List_Oreplicate @t8 (tptp.hAPP @t4750 @t6158) @t690)))) % 6.51/6.72 (assume @p4935 (forall @t6153 (= (tptp.hAPP @t4752 @t6144) @t1153))) % 6.51/6.72 (assume @p4936 (forall @t4715 (= (tptp.c_List_Oreplicate @t8 (tptp.hAPP @t4752 @t6159) @t61) @t6159))) % 6.51/6.72 (assume @p4937 (forall (@list @t210 @t1162 @t132 @t1165 @t47 @t8) (= (tptp.hAPP (tptp.hAPP @t4698 @t6157) (tptp.c_List_Oreplicate @t47 @t1162 @t210)) (tptp.c_List_Oreplicate @t1469 (tptp.hAPP @t6148 @t1162) @t4199)))) % 6.51/6.72 (assume @p4938 (forall (@list @t1034 @t61 @t8) (= (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP (tptp.c_COMBK @t8 tptp.tc_Nat_Onat) @t61)) (tptp.c_List_Oupt @t2094 @t1034)) (tptp.c_List_Oreplicate @t8 @t1034 @t61)))) % 6.51/6.72 (assume @p4939 (forall @t6162 (and (=> @t2145 (= @t6160 @t56)) @t6161))) % 6.51/6.72 (assume @p4940 (forall @t6162 @t6161)) % 6.51/6.72 (assume @p4941 (forall @t6155 (= (tptp.hAPP @t4553 (tptp.c_List_Oreplicate @t8 @t1780 @t61)) @t129))) % 6.51/6.72 (assume @p4942 (forall @t215 (=> @t3023 (=> (forall (@list @t6163) (=> (tptp.hBOOL (tptp.hAPP @t2212 @t6163)) (tptp.hBOOL (tptp.hAPP @t159 (tptp.hAPP @t1763 @t6163))))) @t213)))) % 6.51/6.72 (assume @p4943 (forall (@list @t1449 @t51 @t47 @t392 @t8) (=> (forall @t7 (=> @t1366 (tptp.c_Relation_Orefl__on @t47 @t1084 @t4128))) (tptp.c_Relation_Orefl__on @t47 (tptp.hAPP (tptp.hAPP @t1408 @t392) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t4314) @t392) @t1449))))) % 6.51/6.72 (assume @p4944 (forall @t4697 (= @t6165 @t4701))) % 6.51/6.72 (assume @p4945 (forall @t4715 (= @t4701 @t6165))) % 6.51/6.72 (assume @p4946 (forall @t365 (= @t6164 @t4553))) % 6.51/6.72 (assume @p4947 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p4948 (forall @t6170 (=> @t6169 (tptp.class_Lattices_Obounded__lattice @t6168)))) % 6.51/6.72 (assume @p4949 (forall @t6170 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6166) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6168)))) % 6.51/6.72 (assume @p4950 (forall @t6170 (=> @t6169 (tptp.class_Lattices_Obounded__lattice__top @t6168)))) % 6.51/6.72 (assume @p4951 (forall @t6170 (=> @t6169 (tptp.class_Lattices_Obounded__lattice__bot @t6168)))) % 6.51/6.72 (assume @p4952 (forall @t6170 (=> @t6171 (tptp.class_Lattices_Osemilattice__sup @t6168)))) % 6.51/6.72 (assume @p4953 (forall @t6170 (=> @t6171 (tptp.class_Lattices_Osemilattice__inf @t6168)))) % 6.51/6.72 (assume @p4954 (forall @t6170 (=> (tptp.class_Lattices_Odistrib__lattice @t6166) (tptp.class_Lattices_Odistrib__lattice @t6168)))) % 6.51/6.72 (assume @p4955 (forall @t6170 (=> (tptp.class_Lattices_Oboolean__algebra @t6166) (tptp.class_Lattices_Oboolean__algebra @t6168)))) % 6.51/6.72 (assume @p4956 (forall @t6170 (=> (tptp.class_Orderings_Opreorder @t6166) (tptp.class_Orderings_Opreorder @t6168)))) % 6.51/6.72 (assume @p4957 (forall @t6174 (=> @t6173 (tptp.class_Finite__Set_Ofinite @t6168)))) % 6.51/6.72 (assume @p4958 (forall @t6170 (=> @t6171 (tptp.class_Lattices_Olattice @t6168)))) % 6.51/6.72 (assume @p4959 (forall @t6170 (=> (tptp.class_Orderings_Oorder @t6166) (tptp.class_Orderings_Oorder @t6168)))) % 6.51/6.72 (assume @p4960 (forall @t6170 (=> (tptp.class_Orderings_Otop @t6166) (tptp.class_Orderings_Otop @t6168)))) % 6.51/6.72 (assume @p4961 (forall @t6170 (=> (tptp.class_Orderings_Oord @t6166) (tptp.class_Orderings_Oord @t6168)))) % 6.51/6.72 (assume @p4962 (forall @t6170 (=> (tptp.class_Orderings_Obot @t6166) (tptp.class_Orderings_Obot @t6168)))) % 6.51/6.72 (assume @p4963 (forall @t6170 (=> (tptp.class_Groups_Ouminus @t6166) (tptp.class_Groups_Ouminus @t6168)))) % 6.51/6.72 (assume @p4964 (forall @t6170 (=> (tptp.class_Groups_Ominus @t6166) (tptp.class_Groups_Ominus @t6168)))) % 6.51/6.72 (assume @p4965 (forall @t6174 (=> (and @t6175 (tptp.class_HOL_Oequal @t6166)) (tptp.class_HOL_Oequal @t6168)))) % 6.51/6.72 (assume @p4966 (forall @t6174 (=> @t6177 (tptp.class_Enum_Oenum @t6168)))) % 6.51/6.72 (assume @p4967 (tptp.class_HOL_Oequal tptp.tc_Com_Ocom)) % 6.51/6.72 (assume @p4968 (tptp.class_Nat_Osize tptp.tc_Com_Ocom)) % 6.51/6.72 (assume @p4969 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4970 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4971 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4972 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4973 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4974 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4975 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4976 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4977 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4978 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4979 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4980 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4981 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4982 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4983 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4984 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4985 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4986 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4987 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4988 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4989 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4990 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4991 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4992 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4993 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4994 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4995 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4996 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4997 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4998 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p4999 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5000 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5001 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5002 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5003 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5004 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5005 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5006 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5007 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5008 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5009 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5010 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5011 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5012 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5013 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5014 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5015 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5016 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5017 (tptp.class_Smallcheck_Osmall tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5018 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5019 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5020 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5021 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5022 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5023 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5024 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5025 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5026 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5027 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5028 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5029 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5030 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5031 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5032 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5033 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5034 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5035 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5036 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5037 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5038 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5039 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5040 (tptp.class_HOL_Oequal tptp.tc_Int_Oint)) % 6.51/6.72 (assume @p5041 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5042 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5043 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5044 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5045 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5046 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5047 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5048 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5049 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5050 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5051 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5052 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5053 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5054 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5055 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5056 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5057 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5058 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5059 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5060 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5061 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5062 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5063 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5064 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5065 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5066 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5067 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5068 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5069 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5070 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5071 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5072 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5073 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5074 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5075 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5076 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5077 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5078 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5079 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5080 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5081 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5082 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5083 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5084 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5085 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5086 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5087 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5088 (tptp.class_HOL_Oequal tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5089 (tptp.class_Nat_Osize tptp.tc_Nat_Onat)) % 6.51/6.72 (assume @p5090 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5091 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5092 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5093 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5094 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5095 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5096 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5097 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5098 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5099 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5100 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5101 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5102 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5103 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5104 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5105 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5106 (tptp.class_HOL_Oequal tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5107 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5108 (tptp.class_Nat_Osize tptp.tc_HOL_Obool)) % 6.51/6.72 (assume @p5109 (tptp.class_HOL_Oequal tptp.tc_Com_Ostate)) % 6.51/6.72 (assume @p5110 (tptp.class_Nat_Osize tptp.tc_Com_Ostate)) % 6.51/6.72 (assume @p5111 (tptp.class_HOL_Oequal tptp.tc_Com_Ovname)) % 6.51/6.72 (assume @p5112 (tptp.class_Nat_Osize tptp.tc_Com_Ovname)) % 6.51/6.72 (assume @p5113 (forall @t6180 (=> @t6179 (tptp.class_Lazy__Sequence_Osmall__lazy @t6178)))) % 6.51/6.72 (assume @p5114 (forall @t6180 (tptp.class_HOL_Oequal @t6178))) % 6.51/6.72 (assume @p5115 (forall @t6180 (tptp.class_Nat_Osize @t6178))) % 6.51/6.72 (assume @p5116 (forall @t6174 (=> @t6173 (tptp.class_Finite__Set_Ofinite @t6181)))) % 6.51/6.72 (assume @p5117 (forall @t6174 (tptp.class_HOL_Oequal @t6181))) % 6.51/6.72 (assume @p5118 (forall @t6174 (=> @t6177 (tptp.class_Enum_Oenum @t6181)))) % 6.51/6.72 (assume @p5119 (forall @t6174 (tptp.class_Nat_Osize @t6181))) % 6.51/6.72 (assume @p5120 (forall @t6180 (=> @t6172 (tptp.class_Finite__Set_Ofinite @t6182)))) % 6.51/6.72 (assume @p5121 (forall @t6180 (tptp.class_HOL_Oequal @t6182))) % 6.51/6.72 (assume @p5122 (forall @t6180 (=> @t6176 (tptp.class_Enum_Oenum @t6182)))) % 6.51/6.72 (assume @p5123 (forall @t6180 (tptp.class_Nat_Osize @t6182))) % 6.51/6.72 (assume @p5124 (forall @t6174 (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t6167) @t6179) (tptp.class_Lazy__Sequence_Osmall__lazy @t6183)))) % 6.51/6.72 (assume @p5125 (forall @t6174 (=> @t6173 (tptp.class_Finite__Set_Ofinite @t6183)))) % 6.51/6.72 (assume @p5126 (forall @t6174 (=> (and (tptp.class_Smallcheck_Osmall @t6167) (tptp.class_Smallcheck_Osmall @t6166)) (tptp.class_Smallcheck_Osmall @t6183)))) % 6.51/6.72 (assume @p5127 (forall @t6174 (tptp.class_HOL_Oequal @t6183))) % 6.51/6.72 (assume @p5128 (forall @t6174 (=> @t6177 (tptp.class_Enum_Oenum @t6183)))) % 6.51/6.72 (assume @p5129 (forall @t6174 (tptp.class_Nat_Osize @t6183))) % 6.51/6.72 (assume @p5130 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Product__Type_Ounit)) % 6.51/6.72 (assume @p5131 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 6.51/6.72 (assume @p5132 (tptp.class_Smallcheck_Osmall tptp.tc_Product__Type_Ounit)) % 6.51/6.72 (assume @p5133 (tptp.class_HOL_Oequal tptp.tc_Product__Type_Ounit)) % 6.51/6.72 (assume @p5134 (tptp.class_Enum_Oenum tptp.tc_Product__Type_Ounit)) % 6.51/6.72 (assume @p5135 (tptp.class_Nat_Osize tptp.tc_Product__Type_Ounit)) % 6.51/6.72 (assume @p5136 (tptp.class_HOL_Oequal tptp.tc_Code__Evaluation_Oterm)) % 6.51/6.72 (assume @p5137 (tptp.class_Nat_Osize tptp.tc_Code__Evaluation_Oterm)) % 6.51/6.72 (assume @p5138 (forall @t6180 (tptp.class_HOL_Oequal @t6184))) % 6.51/6.72 (assume @p5139 (forall @t6180 (tptp.class_Nat_Osize @t6184))) % 6.51/6.72 (assume @p5140 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5141 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5142 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5143 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5144 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5145 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5146 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5147 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5148 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5149 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5150 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5151 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5152 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5153 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5154 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5155 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5156 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5157 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5158 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5159 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5160 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5161 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5162 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5163 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5164 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5165 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5166 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5167 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5168 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5169 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5170 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5171 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5172 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5173 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5174 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5175 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5176 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5177 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5178 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5179 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5180 (tptp.class_HOL_Oequal tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5181 (tptp.class_Nat_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 6.51/6.72 (assume @p5182 (forall @t6180 (tptp.class_HOL_Oequal @t6185))) % 6.51/6.72 (assume @p5183 (forall @t6180 (tptp.class_Nat_Osize @t6185))) % 6.51/6.72 (assume @p5184 (forall (@list @t131 @t8) (= (tptp.hAPP @t145 @t131) @t131))) % 6.51/6.72 (assume @p5185 (forall (@list @t6186 @t131 @t47 @t8) (= (tptp.hAPP (tptp.hAPP @t2162 @t131) @t6186) @t131))) % 6.51/6.72 (assume @p5186 (forall (@list @t393 @t135 @t136 @t106 @t8 @t47) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t107 @t136) @t135) @t393) (tptp.hAPP @t136 @t6187)))) % 6.51/6.72 (assume @p5187 (forall @t6189 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t774 @t136) @t135) @t393) (tptp.hAPP @t6188 @t135)))) % 6.51/6.72 (assume @p5188 (forall @t6189 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t47 @t106 @t8) @t136) @t135) @t393) (tptp.hAPP @t6188 @t6187)))) % 6.51/6.72 (assume @p5189 (forall @t2702 (or (not @t6190) @t222))) % 6.51/6.72 (assume @p5190 (forall @t2702 (or @t633 @t6190))) % 6.51/6.72 (assume @p5191 (not (tptp.hBOOL tptp.c_fFalse))) % 6.51/6.72 (assume @p5192 (tptp.hBOOL tptp.c_fTrue)) % 6.51/6.72 (assume @p5193 (forall @t2686 (or (not @t6193) @t6192))) % 6.51/6.72 (assume @p5194 (forall @t2686 (or (not @t6192) @t6193))) % 6.51/6.72 (assume @p5195 (forall @t6197 (or @t6192 @t6196 @t6194))) % 6.51/6.72 (assume @p5196 (forall @t6197 (or @t6198 @t6191))) % 6.51/6.72 (assume @p5197 (forall @t6197 (or @t6198 @t6195))) % 6.51/6.72 (assume @p5198 (forall @t6197 (or @t6192 @t6199))) % 6.51/6.72 (assume @p5199 (forall @t6200 (or @t6196 @t6199))) % 6.51/6.72 (assume @p5200 (forall @t6197 (or (not @t6199) @t6191 @t6195))) % 6.51/6.72 (assume @p5201 (forall @t6197 (or @t6191 @t6201))) % 6.51/6.72 (assume @p5202 (forall @t6200 (or @t6196 @t6201))) % 6.51/6.72 (assume @p5203 (forall @t6197 (or (not @t6201) @t6192 @t6195))) % 6.51/6.72 (assume @p5204 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 6.51/6.72 (assume @p5205 tptp.c_Com_OWT__bodies) % 6.51/6.72 (assume @p5206 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT tptp.v_c))) % 6.51/6.72 (assume @p5207 @t6204) % 6.51/6.72 (assume @p5208 (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.tc_Com_Ostate @t17 @t126)) % 6.51/6.72 (assume @p5209 (not @t6206)) % 6.51/6.72 (assume @p5210 true) % 6.51/6.72 (step @p5211 :rule instantiate :premises (@p548) :args ((@list tptp.v_y tptp.tc_Com_Ocom))) % 6.51/6.72 (step @p5212 :rule refl :args (@t1002)) % 6.51/6.72 (step @p5213 :rule bool-double-not-elim :args (@t1004)) % 6.51/6.72 (step @p5214 :rule nary_cong :premises (@p5213 @p5212) :args ((or (not @t1005) @t1002))) % 6.51/6.72 (step @p5215 :rule bool-impl-elim :args (@t1005 @t1002)) % 6.51/6.72 (step @p5216 :rule trans :premises (@p5215 @p5214)) % 6.51/6.72 (step @p5217 :rule cong :premises (@p5216) :args (@t1007)) % 6.51/6.72 (step @p5218 :rule eq_resolve :premises (@p573 @p5217)) % 6.51/6.72 (step @p5219 :rule refl :args (@t6207)) % 6.51/6.72 (step @p5220 :rule eq-symm :args (@t6203 @t1003)) % 6.51/6.72 (step @p5221 :rule nary_cong :premises (@p5220 @p5219) :args (@t6208)) % 6.51/6.72 (step @p5222 :rule refl :args (@t6209)) % 6.51/6.72 (step @p5223 :rule cong :premises (@p5222 @p5221) :args ((=> @t6209 @t6208))) % 6.51/6.72 (assume-push @p5278 @t6209) % 6.51/6.72 (step @p5225 :rule instantiate :premises (@p5218) :args ((@list tptp.v_pn))) % 6.51/6.72 (step-pop @p5279 :rule scope :premises (@p5225)) % 6.51/6.72 (step @p5226 :rule process_scope :premises (@p5279) :args (@t6208)) % 6.51/6.72 (step @p5228 :rule eq_resolve :premises (@p5226 @p5223)) % 6.51/6.72 (step @p5229 :rule implies_elim :premises (@p5228)) % 6.51/6.72 (step @p5230 :rule chain_m_resolution :premises (@p5229 @p5218) :args (@t6211 (@list false) (@list @t6209))) % 6.51/6.72 (step @p5231 :rule quant-miniscope-or :args ((= (forall @t25 @t6217) (or @t6216 @t6215 @t6214)))) % 6.51/6.72 (step @p5232 :rule aci_norm :args ((= @t6218 @t6217))) % 6.51/6.72 (step @p5233 :rule cong :premises (@p5232) :args ((forall @t25 @t6218))) % 6.51/6.72 (step @p5234 :rule trans :premises (@p5233 @p5231)) % 6.51/6.72 (step @p5235 :rule aci_norm :args ((= (or @t6216 @t6219) @t6218))) % 6.51/6.72 (step @p5236 :rule aci_norm :args ((= (or @t6215 @t6213) @t6219))) % 6.51/6.72 (step @p5237 :rule bool-impl-elim :args (@t22 @t21)) % 6.51/6.72 (step @p5238 :rule refl :args (@t6215)) % 6.51/6.72 (step @p5239 :rule nary_cong :premises (@p5238 @p5237) :args ((or @t6215 @t23))) % 6.51/6.72 (step @p5240 :rule trans :premises (@p5239 @p5236)) % 6.51/6.72 (step @p5241 :rule bool-impl-elim :args (tptp.c_Com_OWT__bodies @t23)) % 6.51/6.72 (step @p5242 :rule trans :premises (@p5241 @p5240)) % 6.51/6.72 (step @p5243 :rule refl :args (@t6216)) % 6.51/6.72 (step @p5244 :rule nary_cong :premises (@p5243 @p5242) :args ((or @t6216 @t24))) % 6.51/6.72 (step @p5245 :rule trans :premises (@p5244 @p5235)) % 6.51/6.72 (step @p5246 :rule bool-impl-elim :args (tptp.c_Hoare__Mirabelle_Ostate__not__singleton @t24)) % 6.51/6.72 (step @p5247 :rule trans :premises (@p5246 @p5245)) % 6.51/6.72 (step @p5248 :rule cong :premises (@p5247) :args (@t26)) % 6.51/6.72 (step @p5249 :rule trans :premises (@p5248 @p5234)) % 6.51/6.72 (step @p5250 :rule eq_resolve :premises (@p4 @p5249)) % 6.51/6.72 (step @p5251 :rule chain_m_resolution :premises (@p5250 @p5204 @p5205) :args (@t6214 (@list false false) (@list tptp.c_Hoare__Mirabelle_Ostate__not__singleton tptp.c_Com_OWT__bodies))) % 6.51/6.72 (step @p5252 :rule instantiate :premises (@p5251) :args ((@list @t6205))) % 6.51/6.72 (step @p5253 :rule cnf_or_pos :args (@t6221)) % 6.51/6.72 (step @p5254 :rule reordering :premises (@p5253) :args ((or @t6206 @t6220 (not @t6221)))) % 6.51/6.72 (step @p5255 :rule chain_m_resolution :premises (@p5254 @p5209 @p5252) :args (@t6220 @t6222 (@list @t6206 @t6221))) % 6.51/6.72 (step @p5256 :rule cnf_or_pos :args (@t6211)) % 6.51/6.72 (step @p5257 :rule reordering :premises (@p5256) :args ((or @t6207 @t6210 (not @t6211)))) % 6.51/6.72 (step @p5258 :rule chain_m_resolution :premises (@p5257 @p5255 @p5230) :args (@t6210 @t6222 (@list @t6207 @t6211))) % 6.51/6.72 (step @p5259 :rule refl :args (@t6223)) % 6.51/6.72 (step @p5260 :rule bool-double-not-elim :args (@t6224)) % 6.51/6.72 (step @p5261 :rule refl :args (@t6225)) % 6.51/6.72 (step @p5262 :rule nary_cong :premises (@p5261 @p5260 @p5259) :args ((or @t6225 (not @t6226) @t6223))) % 6.51/6.72 (assume-push @p5280 @t6204) % 6.51/6.72 (assume-push @p5281 @t6226) % 6.51/6.74 (step @p5265 :rule false_intro :premises (@p5211)) % 6.51/6.74 (step @p5266 :rule refl :args (@t1003)) % 6.51/6.74 (step @p5267 :rule cong :premises (@p5266 @p5207) :args (@t6210)) % 6.51/6.74 (step @p5268 :rule trans :premises (@p5267 @p5265)) % 6.51/6.74 (step @p5269 :rule false_elim :premises (@p5268)) % 6.51/6.74 (step-pop @p5282 :rule scope :premises (@p5269)) % 6.51/6.74 (step-pop @p5283 :rule scope :premises (@p5282)) % 6.51/6.74 (step @p5270 :rule process_scope :premises (@p5283) :args (@t6223)) % 6.51/6.74 (step @p5273 :rule implies_elim :premises (@p5270)) % 6.51/6.74 (step @p5274 :rule cnf_and_neg :args (@t6227)) % 6.51/6.74 (step @p5275 :rule resolution :premises (@p5274 @p5273) :args (true @t6227)) % 6.51/6.74 (step @p5276 :rule eq_resolve :premises (@p5275 @p5262)) % 6.51/6.74 (step @p5277 false :rule chain_m_resolution :premises (@p5276 @p5258 @p5211 @p5207) :args (false (@list false true false) (@list @t6210 @t6224 @t6204))) % 6.51/6.74 ) % 6.51/6.74 % SZS output end Proof % 6.51/6.74 % cvc5 exiting %------------------------------------------------------------------------------