%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW314+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 : n023.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 09:04:43 AM UTC 2026 % Result : Theorem 18.94s 19.15s % Output : Proof 17.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWW314+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n023.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 21:46:43 EDT 2026 % 0.16/0.36 % CPUTime : % 1.03/1.97 %----Proving TF0_NAR, FOF, or CNF % 18.94/19.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 18.94/19.15 --- Run --no-e-matching --full-saturate-quant at 6... % 18.94/19.15 % SZS status Theorem % 18.94/19.15 % SZS output start Proof % 18.94/19.15 ( % 18.94/19.15 (declare-sort $$unsorted 0) % 18.94/19.15 (declare-const tptp.v_Ga $$unsorted) % 18.94/19.15 (declare-const tptp.v_G_H $$unsorted) % 18.94/19.15 (declare-const tptp.v_ts $$unsorted) % 18.94/19.15 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Oall__interval__nat (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Oflat (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Quotient_OBabs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Predicate_Osymp (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Set_OBex (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Random__Sequence_Osingle (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_DSequence_Osingle (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 18.94/19.15 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Equiv__Relations_Opart__equivp (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.tc_Nitpick_Opair__box (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Omember (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Oyield (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OInsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Random__Sequence_ORandom (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H__rel $$unsorted) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__DSequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Lazy__Sequence_Osmall__lazy (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_DSequence_Oempty (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Nat_Osize (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_OremoveAll (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Oembed__list (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 18.94/19.15 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 18.94/19.15 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Oreturn__list (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_FunDef_OTHE__default (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Enum_On__lists (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Partial__Function_Ofun__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Random__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 18.94/19.15 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_OInteg $$unsorted) % 18.94/19.15 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 18.94/19.15 (declare-const tptp.c_Int_Ointrel $$unsorted) % 18.94/19.15 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 18.94/19.15 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 18.94/19.15 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Oyieldn (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.v_G $$unsorted) % 18.94/19.15 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 18.94/19.15 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 18.94/19.15 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 18.94/19.15 (declare-const tptp.c_Random__Sequence_Oempty (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Omaps (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 18.94/19.15 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.tc_Nat_Onat $$unsorted) % 18.94/19.15 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_fconj $$unsorted) % 18.94/19.15 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 18.94/19.15 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_fdisj $$unsorted) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_DSequence_Ounion (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Fun_Obij__betw (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__DSequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.t_a $$unsorted) % 18.94/19.15 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nat_OSuc $$unsorted) % 18.94/19.15 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olinorder__class_Osort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Orderings_Oord__class_OLeast (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 18.94/19.15 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Enum_Osublists (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Predicate_Oinv__imagep (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Enum_Oenum__the (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Enum_Oenum__class_Oenum__all (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Oall__interval__int (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 18.94/19.15 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Orderings_Oorder__class_Ostrict__mono (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_New__Random__Sequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Random__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Opair__box_OPairBox (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.tc_HOL_Obool $$unsorted) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_fequal $$unsorted) % 18.94/19.15 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 18.94/19.15 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 18.94/19.15 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.tc_Int_Oint $$unsorted) % 18.94/19.15 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Orderings_Oorder__class_Omono (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Omeasures (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Quickcheck_Obeyond (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Enum_Oenum__class_Oenum__ex (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_fNot $$unsorted) % 18.94/19.15 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_FunDef_Ois__measure (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 18.94/19.15 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_fTrue $$unsorted) % 18.94/19.15 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Quotient_ORespects (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_fFalse $$unsorted) % 18.94/19.15 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 18.94/19.15 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Enum_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_OPls $$unsorted) % 18.94/19.15 (declare-const tptp.c_fimplies $$unsorted) % 18.94/19.15 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Olfp (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_OMin $$unsorted) % 18.94/19.15 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 18.94/19.15 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Predicate_Otransp (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_List_Olist__ex1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Partial__Function_Omk__less (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 18.94/19.15 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 18.94/19.15 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 18.94/19.15 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 18.94/19.15 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Int_Onat $$unsorted) % 18.94/19.15 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 18.94/19.15 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 18.94/19.15 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 18.94/19.15 (define @t1 () (@var "V_g_2" $$unsorted)) % 18.94/19.15 (define @t2 () (@var "V_f_2" $$unsorted)) % 18.94/19.15 (define @t3 () (@var "B_x" $$unsorted)) % 18.94/19.15 (define @t4 () (tptp.hAPP @t1 @t3)) % 18.94/19.15 (define @t5 () (tptp.hAPP @t2 @t3)) % 18.94/19.15 (define @t6 () (= @t5 @t4)) % 18.94/19.15 (define @t7 () (@list @t3)) % 18.94/19.15 (define @t8 () (@var "V_tsa_2" $$unsorted)) % 18.94/19.15 (define @t9 () (@var "V_G_2" $$unsorted)) % 18.94/19.15 (define @t10 () (@var "T_b" $$unsorted)) % 18.94/19.15 (define @t11 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t8)) % 18.94/19.15 (define @t12 () (tptp.tc_Hoare__Mirabelle_Otriple @t10)) % 18.94/19.15 (define @t13 () (tptp.tc_fun @t12 tptp.tc_HOL_Obool)) % 18.94/19.15 (define @t14 () (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t13) @t8)) % 18.94/19.15 (define @t15 () (@var "V_ts_H_2" $$unsorted)) % 18.94/19.15 (define @t16 () (@var "V_G_Ha_2" $$unsorted)) % 18.94/19.15 (define @t17 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t16)) % 18.94/19.15 (define @t18 () (=> @t17 @t11)) % 18.94/19.15 (define @t19 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 @t8)) % 18.94/19.15 (define @t20 () (@list @t9 @t8 @t16 @t10)) % 18.94/19.15 (define @t21 () (forall @t20 (=> @t19 @t18))) % 18.94/19.15 (define @t22 () (@var "V_B_2" $$unsorted)) % 18.94/19.15 (define @t23 () (@var "V_A_2" $$unsorted)) % 18.94/19.15 (define @t24 () (= @t23 @t22)) % 18.94/19.15 (define @t25 () (tptp.tc_fun @t10 tptp.tc_HOL_Obool)) % 18.94/19.15 (define @t26 () (tptp.c_Orderings_Oord__class_Oless__eq @t25)) % 18.94/19.15 (define @t27 () (tptp.hAPP @t26 @t22)) % 18.94/19.15 (define @t28 () (tptp.hBOOL (tptp.hAPP @t27 @t23))) % 18.94/19.15 (define @t29 () (tptp.hAPP @t26 @t23)) % 18.94/19.15 (define @t30 () (tptp.hBOOL (tptp.hAPP @t29 @t22))) % 18.94/19.15 (define @t31 () (@list @t22 @t23 @t10)) % 18.94/19.15 (define @t32 () (@var "V_x" $$unsorted)) % 18.94/19.15 (define @t33 () (@var "T_a" $$unsorted)) % 18.94/19.15 (define @t34 () (tptp.c_Orderings_Oord__class_Oless__eq @t33)) % 18.94/19.15 (define @t35 () (tptp.hAPP @t34 @t32)) % 18.94/19.15 (define @t36 () (tptp.class_Orderings_Opreorder @t33)) % 18.94/19.15 (define @t37 () (@list @t32 @t33)) % 18.94/19.15 (define @t38 () (@var "T_c" $$unsorted)) % 18.94/19.15 (define @t39 () (tptp.c_Orderings_Oord__class_Oless__eq @t38)) % 18.94/19.15 (define @t40 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 @t5) @t4))) % 18.94/19.15 (define @t41 () (forall @t7 @t40)) % 18.94/19.15 (define @t42 () (tptp.tc_fun @t10 @t38)) % 18.94/19.15 (define @t43 () (tptp.c_Orderings_Oord__class_Oless__eq @t42)) % 18.94/19.15 (define @t44 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t43 @t2) @t1))) % 18.94/19.15 (define @t45 () (tptp.class_Orderings_Oord @t38)) % 18.94/19.15 (define @t46 () (@list @t1 @t2 @t10 @t38)) % 18.94/19.15 (define @t47 () (@var "V_x_2" $$unsorted)) % 18.94/19.15 (define @t48 () (tptp.hAPP @t1 @t47)) % 18.94/19.15 (define @t49 () (tptp.hAPP @t2 @t47)) % 18.94/19.15 (define @t50 () (tptp.hAPP @t39 @t49)) % 18.94/19.15 (define @t51 () (@list @t23 @t10)) % 18.94/19.15 (define @t52 () (@list @t10 @t22 @t23)) % 18.94/19.15 (define @t53 () (@var "V_Q_2" $$unsorted)) % 18.94/19.15 (define @t54 () (tptp.hAPP @t53 @t47)) % 18.94/19.15 (define @t55 () (tptp.hBOOL @t54)) % 18.94/19.15 (define @t56 () (@var "V_P_2" $$unsorted)) % 18.94/19.15 (define @t57 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t56) @t53))) % 18.94/19.15 (define @t58 () (tptp.hAPP @t56 @t47)) % 18.94/19.15 (define @t59 () (tptp.hBOOL @t58)) % 18.94/19.15 (define @t60 () (@var "V_C_2" $$unsorted)) % 18.94/19.15 (define @t61 () (tptp.hBOOL (tptp.hAPP @t29 @t60))) % 18.94/19.15 (define @t62 () (tptp.hBOOL (tptp.hAPP @t27 @t60))) % 18.94/19.15 (define @t63 () (@list @t60 @t22 @t23 @t10)) % 18.94/19.15 (define @t64 () (@var "V_y" $$unsorted)) % 18.94/19.15 (define @t65 () (tptp.hAPP @t34 @t64)) % 18.94/19.15 (define @t66 () (tptp.hBOOL (tptp.hAPP @t65 @t32))) % 18.94/19.15 (define @t67 () (tptp.hBOOL (tptp.hAPP @t35 @t64))) % 18.94/19.15 (define @t68 () (tptp.class_Orderings_Olinorder @t33)) % 18.94/19.15 (define @t69 () (@list @t64 @t32 @t33)) % 18.94/19.15 (define @t70 () (@var "V_z" $$unsorted)) % 18.94/19.15 (define @t71 () (tptp.hAPP @t34 @t70)) % 18.94/19.15 (define @t72 () (tptp.hBOOL (tptp.hAPP @t71 @t32))) % 18.94/19.15 (define @t73 () (tptp.hBOOL (tptp.hAPP @t71 @t64))) % 18.94/19.15 (define @t74 () (tptp.class_Orderings_Oorder @t33)) % 18.94/19.15 (define @t75 () (@list @t70 @t32 @t64 @t33)) % 18.94/19.15 (define @t76 () (= @t32 @t64)) % 18.94/19.15 (define @t77 () (@list @t32 @t64 @t33)) % 18.94/19.15 (define @t78 () (tptp.hBOOL (tptp.hAPP @t35 @t70))) % 18.94/19.15 (define @t79 () (tptp.hBOOL (tptp.hAPP @t65 @t70))) % 18.94/19.15 (define @t80 () (@list @t70 @t64 @t32 @t33)) % 18.94/19.15 (define @t81 () (@var "V_a" $$unsorted)) % 18.94/19.15 (define @t82 () (@var "V_c" $$unsorted)) % 18.94/19.15 (define @t83 () (tptp.hAPP @t34 @t82)) % 18.94/19.15 (define @t84 () (tptp.hBOOL (tptp.hAPP @t83 @t81))) % 18.94/19.15 (define @t85 () (@var "V_b" $$unsorted)) % 18.94/19.15 (define @t86 () (= @t85 @t82)) % 18.94/19.15 (define @t87 () (tptp.hAPP @t34 @t85)) % 18.94/19.15 (define @t88 () (tptp.hBOOL (tptp.hAPP @t87 @t81))) % 18.94/19.15 (define @t89 () (@list @t82 @t81 @t85 @t33)) % 18.94/19.15 (define @t90 () (tptp.hAPP @t34 @t81)) % 18.94/19.15 (define @t91 () (tptp.hBOOL (tptp.hAPP @t90 @t82))) % 18.94/19.15 (define @t92 () (tptp.hBOOL (tptp.hAPP @t90 @t85))) % 18.94/19.15 (define @t93 () (tptp.class_Orderings_Oord @t33)) % 18.94/19.15 (define @t94 () (@list @t82 @t85 @t81 @t33)) % 18.94/19.15 (define @t95 () (= @t81 @t85)) % 18.94/19.15 (define @t96 () (tptp.hBOOL (tptp.hAPP @t87 @t82))) % 18.94/19.15 (define @t97 () (@var "V_y_2" $$unsorted)) % 18.94/19.15 (define @t98 () (= @t47 @t97)) % 18.94/19.15 (define @t99 () (tptp.c_Orderings_Oord__class_Oless__eq @t10)) % 18.94/19.15 (define @t100 () (tptp.hAPP @t99 @t47)) % 18.94/19.15 (define @t101 () (tptp.hBOOL (tptp.hAPP @t100 @t97))) % 18.94/19.15 (define @t102 () (= @t101 @t98)) % 18.94/19.15 (define @t103 () (tptp.hAPP @t99 @t97)) % 18.94/19.15 (define @t104 () (tptp.hBOOL (tptp.hAPP @t103 @t47))) % 18.94/19.15 (define @t105 () (tptp.class_Orderings_Oorder @t10)) % 18.94/19.15 (define @t106 () (@list @t47 @t97 @t10)) % 18.94/19.15 (define @t107 () (@list @t97 @t47 @t10)) % 18.94/19.15 (define @t108 () (tptp.c_Predicate_OPowp @t10 @t23)) % 18.94/19.15 (define @t109 () (tptp.tc_fun @t25 tptp.tc_HOL_Obool)) % 18.94/19.15 (define @t110 () (tptp.c_Orderings_Oord__class_Oless__eq @t109)) % 18.94/19.15 (define @t111 () (tptp.tc_fun @t38 tptp.tc_HOL_Obool)) % 18.94/19.15 (define @t112 () (tptp.c_COMBB @t38 @t111 @t10)) % 18.94/19.15 (define @t113 () (tptp.c_COMBS @t10 @t38 tptp.tc_HOL_Obool)) % 18.94/19.15 (define @t114 () (tptp.c_Enum_Oenum__class_Oenum__all @t10)) % 18.94/19.15 (define @t115 () (tptp.class_Enum_Oenum @t10)) % 18.94/19.15 (define @t116 () (tptp.class_Orderings_Oorder @t38)) % 18.94/19.15 (define @t117 () (and @t116 @t115)) % 18.94/19.15 (define @t118 () (@var "V_k_2" $$unsorted)) % 18.94/19.15 (define @t119 () (tptp.c_Orderings_Oord__class_OLeast @t10 @t56)) % 18.94/19.15 (define @t120 () (tptp.hBOOL (tptp.hAPP @t56 @t118))) % 18.94/19.15 (define @t121 () (tptp.class_Orderings_Owellorder @t10)) % 18.94/19.15 (define @t122 () (@list @t118 @t56 @t10)) % 18.94/19.15 (define @t123 () (tptp.hAPP @t2 @t97)) % 18.94/19.15 (define @t124 () (@var "V_r_2" $$unsorted)) % 18.94/19.15 (define @t125 () (tptp.hBOOL (tptp.hAPP @t50 @t123))) % 18.94/19.15 (define @t126 () (tptp.c_Orderings_Oorder__class_Ostrict__mono @t10 @t38 @t2)) % 18.94/19.15 (define @t127 () (tptp.class_Orderings_Olinorder @t10)) % 18.94/19.15 (define @t128 () (and @t116 @t127)) % 18.94/19.15 (define @t129 () (@list @t97 @t47 @t2 @t10 @t38)) % 18.94/19.15 (define @t130 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t10)) % 18.94/19.15 (define @t131 () (tptp.hAPP @t130 @t97)) % 18.94/19.15 (define @t132 () (tptp.hAPP @t130 @t47)) % 18.94/19.15 (define @t133 () (tptp.c_SetInterval_Oord__class_OlessThan @t10)) % 18.94/19.15 (define @t134 () (tptp.hAPP @t133 @t97)) % 18.94/19.15 (define @t135 () (tptp.hAPP @t133 @t47)) % 18.94/19.15 (define @t136 () (tptp.c_SetInterval_Oord__class_OatLeast @t10)) % 18.94/19.15 (define @t137 () (tptp.hAPP @t136 @t97)) % 18.94/19.15 (define @t138 () (tptp.hAPP @t136 @t47)) % 18.94/19.15 (define @t139 () (tptp.c_SetInterval_Oord__class_OatMost @t10)) % 18.94/19.15 (define @t140 () (tptp.hAPP @t139 @t97)) % 18.94/19.15 (define @t141 () (tptp.hAPP @t139 @t47)) % 18.94/19.15 (define @t142 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t38)) % 18.94/19.15 (define @t143 () (tptp.hAPP @t142 @t23)) % 18.94/19.15 (define @t144 () (tptp.hAPP @t143 @t2)) % 18.94/19.15 (define @t145 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t38)) % 18.94/19.15 (define @t146 () (@list @t2 @t22 @t23 @t10 @t38)) % 18.94/19.15 (define @t147 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t38)) % 18.94/19.15 (define @t148 () (tptp.hAPP @t147 @t23)) % 18.94/19.15 (define @t149 () (tptp.hAPP @t148 @t2)) % 18.94/19.15 (define @t150 () (@var "T_d" $$unsorted)) % 18.94/19.15 (define @t151 () (tptp.c_COMBC @t38 @t150 @t10)) % 18.94/19.15 (define @t152 () (tptp.hAPP @t151 @t2)) % 18.94/19.15 (define @t153 () (tptp.hAPP @t152 @t47)) % 18.94/19.15 (define @t154 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t38 @t10)) % 18.94/19.15 (define @t155 () (tptp.hAPP @t154 @t23)) % 18.94/19.15 (define @t156 () (tptp.tc_fun @t150 @t10)) % 18.94/19.15 (define @t157 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t10)) % 18.94/19.15 (define @t158 () (@list @t47 @t2 @t23 @t150 @t38 @t10)) % 18.94/19.15 (define @t159 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t38 @t10)) % 18.94/19.15 (define @t160 () (tptp.hAPP @t159 @t23)) % 18.94/19.15 (define @t161 () (tptp.tc_fun @t38 @t10)) % 18.94/19.15 (define @t162 () (tptp.c_COMBB @t161 @t10 @t150)) % 18.94/19.15 (define @t163 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t150 @t10) @t22)) % 18.94/19.15 (define @t164 () (tptp.c_COMBB @t156 @t10 @t38)) % 18.94/19.15 (define @t165 () (@list @t2 @t22 @t150 @t23 @t38 @t10)) % 18.94/19.15 (define @t166 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t150 @t10) @t22)) % 18.94/19.15 (define @t167 () (tptp.hBOOL (tptp.hAPP @t114 @t56))) % 18.94/19.15 (define @t168 () (@var "B_x1" $$unsorted)) % 18.94/19.15 (define @t169 () (tptp.hBOOL (tptp.hAPP @t56 @t168))) % 18.94/19.15 (define @t170 () (@list @t168)) % 18.94/19.15 (define @t171 () (forall @t170 @t169)) % 18.94/19.15 (define @t172 () (@list @t56 @t10)) % 18.94/19.15 (define @t173 () (tptp.hBOOL (tptp.hAPP @t56 @t119))) % 18.94/19.15 (define @t174 () (exists @t170 @t169)) % 18.94/19.15 (define @t175 () (= @t49 @t123)) % 18.94/19.15 (define @t176 () (= @t175 @t98)) % 18.94/19.15 (define @t177 () (tptp.hAPP @t23 @t3)) % 18.94/19.15 (define @t178 () (@var "V_I_2" $$unsorted)) % 18.94/19.15 (define @t179 () (tptp.c_member @t38)) % 18.94/19.15 (define @t180 () (tptp.hAPP @t179 @t3)) % 18.94/19.15 (define @t181 () (tptp.hBOOL (tptp.hAPP @t180 @t178))) % 18.94/19.15 (define @t182 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t38 @t25)) % 18.94/19.15 (define @t183 () (tptp.hAPP @t182 @t178)) % 18.94/19.15 (define @t184 () (tptp.hAPP @t183 @t23)) % 18.94/19.15 (define @t185 () (@list @t23 @t178 @t38 @t22 @t10)) % 18.94/19.15 (define @t186 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t38 @t25)) % 18.94/19.15 (define @t187 () (tptp.hAPP @t186 @t178)) % 18.94/19.15 (define @t188 () (tptp.hAPP @t187 @t23)) % 18.94/19.15 (define @t189 () (@list @t22 @t23 @t178 @t38 @t10)) % 18.94/19.15 (define @t190 () (@var "V_M_2" $$unsorted)) % 18.94/19.15 (define @t191 () (tptp.hAPP @t190 @t3)) % 18.94/19.15 (define @t192 () (@var "V_u_2" $$unsorted)) % 18.94/19.15 (define @t193 () (tptp.hAPP @t99 @t192)) % 18.94/19.15 (define @t194 () (tptp.hBOOL (tptp.hAPP @t180 @t23))) % 18.94/19.15 (define @t195 () (@var "B_y" $$unsorted)) % 18.94/19.15 (define @t196 () (tptp.hBOOL (tptp.hAPP @t100 @t195))) % 18.94/19.15 (define @t197 () (tptp.hAPP @t56 @t195)) % 18.94/19.15 (define @t198 () (tptp.hBOOL @t197)) % 18.94/19.15 (define @t199 () (@list @t195)) % 18.94/19.15 (define @t200 () (tptp.c_Set_OPow @t10)) % 18.94/19.15 (define @t201 () (tptp.hAPP @t200 @t22)) % 18.94/19.15 (define @t202 () (tptp.hAPP @t200 @t23)) % 18.94/19.15 (define @t203 () (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t22)) % 18.94/19.15 (define @t204 () (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t23)) % 18.94/19.15 (define @t205 () (tptp.hAPP @t26 @t204)) % 18.94/19.15 (define @t206 () (@list @t23 @t22 @t10)) % 18.94/19.15 (define @t207 () (@var "V_i_2" $$unsorted)) % 18.94/19.15 (define @t208 () (tptp.hAPP @t190 @t207)) % 18.94/19.15 (define @t209 () (tptp.hAPP @t148 @t190)) % 18.94/19.15 (define @t210 () (tptp.c_member @t10)) % 18.94/19.15 (define @t211 () (tptp.hAPP @t210 @t207)) % 18.94/19.15 (define @t212 () (tptp.hBOOL (tptp.hAPP @t211 @t23))) % 18.94/19.15 (define @t213 () (@list @t190 @t23 @t207 @t10 @t38)) % 18.94/19.15 (define @t214 () (tptp.hAPP @t143 @t190)) % 18.94/19.15 (define @t215 () (@var "V_d_2" $$unsorted)) % 18.94/19.15 (define @t216 () (@var "V_b_2" $$unsorted)) % 18.94/19.15 (define @t217 () (tptp.hAPP @t99 @t216)) % 18.94/19.15 (define @t218 () (tptp.hBOOL (tptp.hAPP @t217 @t215))) % 18.94/19.15 (define @t219 () (@var "V_a_2" $$unsorted)) % 18.94/19.15 (define @t220 () (@var "V_c_2" $$unsorted)) % 18.94/19.15 (define @t221 () (tptp.hAPP @t99 @t220)) % 18.94/19.15 (define @t222 () (tptp.hBOOL (tptp.hAPP @t221 @t219))) % 18.94/19.15 (define @t223 () (and @t222 @t218)) % 18.94/19.15 (define @t224 () (tptp.hBOOL (tptp.hAPP @t217 @t219))) % 18.94/19.15 (define @t225 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t220) @t215)) % 18.94/19.15 (define @t226 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t219) @t216)) % 18.94/19.15 (define @t227 () (@list @t215 @t220 @t216 @t219 @t10)) % 18.94/19.15 (define @t228 () (tptp.hAPP @t139 @t118)) % 18.94/19.15 (define @t229 () (tptp.hAPP @t130 @t118)) % 18.94/19.15 (define @t230 () (tptp.c_Groups_Ouminus__class_Ouminus @t25)) % 18.94/19.15 (define @t231 () (@list @t118 @t10)) % 18.94/19.15 (define @t232 () (tptp.hAPP @t99 @t219)) % 18.94/19.15 (define @t233 () (tptp.hBOOL (tptp.hAPP @t232 @t216))) % 18.94/19.15 (define @t234 () (not @t233)) % 18.94/19.15 (define @t235 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t220 @t215)) % 18.94/19.15 (define @t236 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t219 @t216)) % 18.94/19.15 (define @t237 () (tptp.hAPP @t136 @t118)) % 18.94/19.15 (define @t238 () (tptp.hAPP @t133 @t118)) % 18.94/19.15 (define @t239 () (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t22)) % 18.94/19.15 (define @t240 () (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t23)) % 18.94/19.15 (define @t241 () (tptp.hAPP @t26 @t240)) % 18.94/19.15 (define @t242 () (tptp.hAPP @t110 @t23)) % 18.94/19.15 (define @t243 () (tptp.hAPP @t210 @t220)) % 18.94/19.15 (define @t244 () (tptp.hBOOL (tptp.hAPP @t243 @t22))) % 18.94/19.15 (define @t245 () (tptp.hBOOL (tptp.hAPP @t243 @t23))) % 18.94/19.15 (define @t246 () (not @t245)) % 18.94/19.15 (define @t247 () (=> @t246 @t244)) % 18.94/19.15 (define @t248 () (not @t244)) % 18.94/19.15 (define @t249 () (=> @t245 @t248)) % 18.94/19.15 (define @t250 () (tptp.hAPP @t210 @t219)) % 18.94/19.15 (define @t251 () (tptp.hBOOL (tptp.hAPP @t250 @t23))) % 18.94/19.15 (define @t252 () (not @t251)) % 18.94/19.15 (define @t253 () (tptp.hAPP @t22 @t219)) % 18.94/19.15 (define @t254 () (tptp.hAPP @t253 @t216)) % 18.94/19.15 (define @t255 () (tptp.hBOOL (tptp.hAPP @t254 @t220))) % 18.94/19.15 (define @t256 () (tptp.tc_fun @t150 tptp.tc_HOL_Obool)) % 18.94/19.15 (define @t257 () (tptp.tc_fun @t38 @t256)) % 18.94/19.15 (define @t258 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t257)) % 18.94/19.15 (define @t259 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t258 @t23) @t22) @t216) @t220))) % 18.94/19.15 (define @t260 () (@list @t219 @t220 @t216 @t22 @t23 @t150 @t38 @t10)) % 18.94/19.15 (define @t261 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t257)) % 18.94/19.15 (define @t262 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t261 @t23) @t22) @t216) @t220))) % 18.94/19.15 (define @t263 () (=> @t245 @t244)) % 18.94/19.15 (define @t264 () (@list @t220 @t22 @t23 @t10)) % 18.94/19.15 (define @t265 () (tptp.hAPP @t230 @t23)) % 18.94/19.15 (define @t266 () (tptp.hBOOL (tptp.hAPP @t243 @t265))) % 18.94/19.15 (define @t267 () (@list @t23 @t220 @t10)) % 18.94/19.15 (define @t268 () (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t60)) % 18.94/19.15 (define @t269 () (tptp.hAPP @t210 @t23)) % 18.94/19.15 (define @t270 () (tptp.hBOOL (tptp.hAPP @t269 @t268))) % 18.94/19.15 (define @t271 () (@var "V_X_2" $$unsorted)) % 18.94/19.15 (define @t272 () (tptp.hBOOL (tptp.hAPP @t269 @t271))) % 18.94/19.15 (define @t273 () (tptp.c_member @t25)) % 18.94/19.15 (define @t274 () (tptp.hAPP @t273 @t271)) % 18.94/19.15 (define @t275 () (tptp.hBOOL (tptp.hAPP @t274 @t60))) % 18.94/19.15 (define @t276 () (tptp.hBOOL (tptp.hAPP @t269 (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t60)))) % 18.94/19.15 (define @t277 () (tptp.hAPP @t273 @t23)) % 18.94/19.15 (define @t278 () (tptp.hBOOL (tptp.hAPP @t277 @t201))) % 18.94/19.15 (define @t279 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t111)) % 18.94/19.15 (define @t280 () (tptp.hAPP @t279 @t23)) % 18.94/19.15 (define @t281 () (tptp.hAPP @t280 @t22)) % 18.94/19.15 (define @t282 () (tptp.hAPP @t179 @t216)) % 18.94/19.15 (define @t283 () (tptp.hBOOL (tptp.hAPP @t282 @t253))) % 18.94/19.15 (define @t284 () (@list @t22 @t216 @t38 @t23 @t219 @t10)) % 18.94/19.15 (define @t285 () (tptp.hBOOL (tptp.hAPP @t281 @t216))) % 18.94/19.15 (define @t286 () (tptp.hBOOL @t254)) % 18.94/19.15 (define @t287 () (tptp.hAPP @t210 @t216)) % 18.94/19.15 (define @t288 () (tptp.hBOOL (tptp.hAPP @t287 @t253))) % 18.94/19.15 (define @t289 () (tptp.hAPP @t179 @t219)) % 18.94/19.15 (define @t290 () (tptp.hBOOL (tptp.hAPP @t289 @t23))) % 18.94/19.15 (define @t291 () (tptp.hAPP @t182 @t23)) % 18.94/19.15 (define @t292 () (tptp.hAPP @t291 @t22)) % 18.94/19.15 (define @t293 () (tptp.hBOOL (tptp.hAPP @t287 @t292))) % 18.94/19.15 (define @t294 () (@list @t219 @t22 @t23 @t38 @t216 @t10)) % 18.94/19.15 (define @t295 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t111)) % 18.94/19.15 (define @t296 () (tptp.hAPP @t295 @t23)) % 18.94/19.15 (define @t297 () (tptp.hAPP @t296 @t22)) % 18.94/19.15 (define @t298 () (tptp.hBOOL (tptp.hAPP @t297 @t216))) % 18.94/19.15 (define @t299 () (@list @t219 @t216 @t22 @t23 @t38 @t10)) % 18.94/19.15 (define @t300 () (tptp.tc_fun @t38 @t25)) % 18.94/19.15 (define @t301 () (tptp.c_COMBB @t111 (tptp.tc_fun @t300 @t25) @t150)) % 18.94/19.15 (define @t302 () (tptp.c_COMBC @t150 @t300 @t25)) % 18.94/19.15 (define @t303 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t150 @t25)) % 18.94/19.15 (define @t304 () (tptp.hAPP @t303 @t23)) % 18.94/19.15 (define @t305 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t150 @t111) @t23) @t22)) % 18.94/19.15 (define @t306 () (@list @t60 @t22 @t23 @t150 @t10 @t38)) % 18.94/19.15 (define @t307 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t150 @t25)) % 18.94/19.15 (define @t308 () (tptp.hAPP @t307 @t23)) % 18.94/19.15 (define @t309 () (@var "B_xa" $$unsorted)) % 18.94/19.15 (define @t310 () (tptp.hAPP @t22 @t3)) % 18.94/19.15 (define @t311 () (tptp.hAPP @t210 @t309)) % 18.94/19.15 (define @t312 () (@list @t309)) % 18.94/19.15 (define @t313 () (tptp.hAPP @t56 @t3)) % 18.94/19.15 (define @t314 () (tptp.hBOOL @t313)) % 18.94/19.15 (define @t315 () (tptp.hAPP @t186 @t23)) % 18.94/19.15 (define @t316 () (tptp.hAPP @t315 @t22)) % 18.94/19.15 (define @t317 () (tptp.hAPP @t210 @t3)) % 18.94/19.15 (define @t318 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t38 @t256)) % 18.94/19.15 (define @t319 () (tptp.hAPP (tptp.hAPP @t318 @t23) @t22)) % 18.94/19.15 (define @t320 () (tptp.tc_fun @t150 @t25)) % 18.94/19.15 (define @t321 () (tptp.c_COMBB @t256 (tptp.tc_fun @t320 @t25) @t38)) % 18.94/19.15 (define @t322 () (tptp.c_COMBC @t38 @t320 @t25)) % 18.94/19.15 (define @t323 () (@list @t60 @t22 @t150 @t23 @t10 @t38)) % 18.94/19.15 (define @t324 () (tptp.hAPP @t310 @t216)) % 18.94/19.15 (define @t325 () (tptp.hBOOL @t324)) % 18.94/19.15 (define @t326 () (tptp.hBOOL (tptp.hAPP @t317 @t23))) % 18.94/19.15 (define @t327 () (forall @t7 (=> @t326 @t325))) % 18.94/19.15 (define @t328 () (@list @t216 @t22 @t23 @t38 @t10)) % 18.94/19.15 (define @t329 () (tptp.hBOOL (tptp.hAPP @t287 @t23))) % 18.94/19.15 (define @t330 () (= @t219 @t216)) % 18.94/19.15 (define @t331 () (@list @t23 @t10 @t216 @t219)) % 18.94/19.15 (define @t332 () (tptp.hAPP @t210 @t97)) % 18.94/19.15 (define @t333 () (tptp.hBOOL (tptp.hAPP @t332 @t23))) % 18.94/19.15 (define @t334 () (tptp.hAPP @t210 @t47)) % 18.94/19.15 (define @t335 () (tptp.hBOOL (tptp.hAPP @t334 @t23))) % 18.94/19.15 (define @t336 () (tptp.hBOOL (tptp.hAPP @t334 @t22))) % 18.94/19.15 (define @t337 () (tptp.hAPP @t230 @t22)) % 18.94/19.15 (define @t338 () (tptp.hAPP tptp.c_fequal @t97)) % 18.94/19.15 (define @t339 () (tptp.hAPP @t23 @t47)) % 18.94/19.15 (define @t340 () (tptp.hBOOL @t339)) % 18.94/19.15 (define @t341 () (@list @t23 @t47 @t10)) % 18.94/19.15 (define @t342 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t22) @t23))) % 18.94/19.15 (define @t343 () (tptp.hBOOL (tptp.hAPP @t205 @t22))) % 18.94/19.15 (define @t344 () (tptp.c_COMBB @t25 @t25 @t38)) % 18.94/19.15 (define @t345 () (tptp.hAPP (tptp.hAPP @t344 @t230) @t22)) % 18.94/19.15 (define @t346 () (@list @t22 @t23 @t38 @t10)) % 18.94/19.15 (define @t347 () (tptp.c_COMBI @t25)) % 18.94/19.15 (define @t348 () (@var "V_S_2" $$unsorted)) % 18.94/19.15 (define @t349 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t25 @t25)) % 18.94/19.15 (define @t350 () (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t348)) % 18.94/19.15 (define @t351 () (@list @t348 @t10)) % 18.94/19.15 (define @t352 () (tptp.c_Complete__Lattice_OSup__class_OSup @t111 @t23)) % 18.94/19.15 (define @t353 () (tptp.hAPP (tptp.hAPP @t182 @t352) @t22)) % 18.94/19.15 (define @t354 () (tptp.c_COMBC @t111 @t300 @t25)) % 18.94/19.15 (define @t355 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t111 @t25) @t23) (tptp.hAPP (tptp.hAPP @t354 @t182) @t22))) % 18.94/19.15 (define @t356 () (@list @t22 @t23 @t10 @t38)) % 18.94/19.15 (define @t357 () (tptp.hAPP (tptp.hAPP @t186 @t352) @t22)) % 18.94/19.15 (define @t358 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t111 @t25)) % 18.94/19.15 (define @t359 () (tptp.hAPP @t358 @t23)) % 18.94/19.15 (define @t360 () (tptp.hAPP @t359 (tptp.hAPP (tptp.hAPP @t354 @t186) @t22))) % 18.94/19.15 (define @t361 () (@var "V_R_2" $$unsorted)) % 18.94/19.15 (define @t362 () (= @t361 @t348)) % 18.94/19.15 (define @t363 () (tptp.hAPP (tptp.c_COMBC @t10 @t25 tptp.tc_HOL_Obool) @t210)) % 18.94/19.15 (define @t364 () (tptp.hAPP @t363 @t348)) % 18.94/19.15 (define @t365 () (tptp.hAPP @t363 @t361)) % 18.94/19.15 (define @t366 () (@list @t348 @t361 @t10)) % 18.94/19.15 (define @t367 () (tptp.hBOOL (tptp.hAPP @t287 @t310))) % 18.94/19.15 (define @t368 () (@list @t22 @t23 @t38 @t216 @t10)) % 18.94/19.15 (define @t369 () (tptp.hBOOL (tptp.hAPP @t287 @t316))) % 18.94/19.15 (define @t370 () (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t23)) % 18.94/19.15 (define @t371 () (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t23)) % 18.94/19.15 (define @t372 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t25 @t25)) % 18.94/19.15 (define @t373 () (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t348)) % 18.94/19.15 (define @t374 () (tptp.hAPP @t273 @t47)) % 18.94/19.15 (define @t375 () (tptp.hAPP @t363 @t23)) % 18.94/19.15 (define @t376 () (@list @t47 @t23 @t10)) % 18.94/19.15 (define @t377 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 @t109 @t38) @t200) @t22)) % 18.94/19.15 (define @t378 () (@list @t47 @t22 @t23 @t10)) % 18.94/19.15 (define @t379 () (@list @t22 @t23 @t47 @t10)) % 18.94/19.15 (define @t380 () (tptp.c_Orderings_Oord__class_Oless__eq @t111)) % 18.94/19.15 (define @t381 () (@list @t22 @t38 @t23 @t219 @t10)) % 18.94/19.15 (define @t382 () (tptp.hAPP @t99 @t3)) % 18.94/19.15 (define @t383 () (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t382 @t216))))) % 18.94/19.15 (define @t384 () (tptp.hAPP @t99 @t370)) % 18.94/19.15 (define @t385 () (@list @t216 @t23 @t10)) % 18.94/19.15 (define @t386 () (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t217 @t3))))) % 18.94/19.15 (define @t387 () (tptp.hAPP @t99 @t207)) % 18.94/19.15 (define @t388 () (tptp.class_Orderings_Oord @t10)) % 18.94/19.15 (define @t389 () (@list @t118 @t207 @t10)) % 18.94/19.15 (define @t390 () (tptp.c_Groups_Ouminus__class_Ouminus @t10)) % 18.94/19.15 (define @t391 () (@list @t47 @t23 @t38 @t10)) % 18.94/19.15 (define @t392 () (@var "V_less__eq_2" $$unsorted)) % 18.94/19.15 (define @t393 () (tptp.hAPP @t392 @t207)) % 18.94/19.15 (define @t394 () (tptp.hBOOL (tptp.hAPP @t393 @t192))) % 18.94/19.15 (define @t395 () (@var "V_l_2" $$unsorted)) % 18.94/19.15 (define @t396 () (@var "V_less_2" $$unsorted)) % 18.94/19.15 (define @t397 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t396 @t395) @t207))) % 18.94/19.15 (define @t398 () (@list @t192 @t395 @t396 @t392 @t207 @t10)) % 18.94/19.15 (define @t399 () (tptp.hAPP @t396 @t207)) % 18.94/19.15 (define @t400 () (tptp.hBOOL (tptp.hAPP @t399 @t192))) % 18.94/19.15 (define @t401 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t392 @t395) @t207))) % 18.94/19.15 (define @t402 () (@list @t118 @t396 @t207 @t10)) % 18.94/19.15 (define @t403 () (@list @t118 @t392 @t207 @t10)) % 18.94/19.15 (define @t404 () (tptp.c_Groups_Ouminus__class_Ouminus @t33)) % 18.94/19.15 (define @t405 () (tptp.hAPP @t404 @t32)) % 18.94/19.15 (define @t406 () (tptp.hAPP @t404 @t64)) % 18.94/19.15 (define @t407 () (tptp.class_Lattices_Oboolean__algebra @t33)) % 18.94/19.15 (define @t408 () (tptp.hAPP @t404 @t81)) % 18.94/19.15 (define @t409 () (tptp.hAPP @t404 @t85)) % 18.94/19.15 (define @t410 () (tptp.class_Groups_Oordered__ab__group__add @t33)) % 18.94/19.15 (define @t411 () (@list @t85 @t81 @t33)) % 18.94/19.15 (define @t412 () (tptp.hBOOL (tptp.hAPP @t324 @t220))) % 18.94/19.15 (define @t413 () (@list @t220 @t216 @t22 @t23 @t150 @t38 @t10)) % 18.94/19.15 (define @t414 () (forall @t7 (=> @t326 @t412))) % 18.94/19.15 (define @t415 () (tptp.hAPP @t390 @t97)) % 18.94/19.15 (define @t416 () (tptp.hAPP @t390 @t47)) % 18.94/19.15 (define @t417 () (tptp.class_Lattices_Oboolean__algebra @t10)) % 18.94/19.15 (define @t418 () (tptp.hAPP @t390 @t216)) % 18.94/19.15 (define @t419 () (tptp.hAPP @t390 @t219)) % 18.94/19.15 (define @t420 () (tptp.class_Groups_Ogroup__add @t10)) % 18.94/19.15 (define @t421 () (@list @t216 @t219 @t10)) % 18.94/19.15 (define @t422 () (= @t219 @t418)) % 18.94/19.15 (define @t423 () (tptp.class_Groups_Ogroup__add @t33)) % 18.94/19.15 (define @t424 () (@list @t81 @t33)) % 18.94/19.15 (define @t425 () (tptp.class_Groups_Oordered__ab__group__add @t10)) % 18.94/19.15 (define @t426 () (tptp.hAPP @t99 @t418)) % 18.94/19.15 (define @t427 () (tptp.hAPP @t99 @t419)) % 18.94/19.15 (define @t428 () (tptp.hBOOL (tptp.hAPP @t427 @t216))) % 18.94/19.15 (define @t429 () (@list @t219 @t216 @t10)) % 18.94/19.15 (define @t430 () (@var "B_X" $$unsorted)) % 18.94/19.15 (define @t431 () (tptp.hBOOL (tptp.hAPP @t269 @t430))) % 18.94/19.15 (define @t432 () (tptp.hAPP @t273 @t430)) % 18.94/19.15 (define @t433 () (tptp.hBOOL (tptp.hAPP @t432 @t60))) % 18.94/19.15 (define @t434 () (@list @t430)) % 18.94/19.15 (define @t435 () (@list @t23 @t60 @t10)) % 18.94/19.15 (define @t436 () (@list @t60 @t23 @t10)) % 18.94/19.15 (define @t437 () (tptp.hAPP @t136 @t395)) % 18.94/19.15 (define @t438 () (tptp.hAPP @t130 @t192)) % 18.94/19.15 (define @t439 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t395 @t192)) % 18.94/19.15 (define @t440 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25)) % 18.94/19.15 (define @t441 () (tptp.hAPP @t99 @t395)) % 18.94/19.15 (define @t442 () (tptp.hBOOL (tptp.hAPP @t441 @t192))) % 18.94/19.15 (define @t443 () (@list @t192 @t395 @t10)) % 18.94/19.15 (define @t444 () (tptp.hAPP @t139 @t192)) % 18.94/19.15 (define @t445 () (tptp.hAPP @t133 @t395)) % 18.94/19.15 (define @t446 () (tptp.hAPP @t440 @t445)) % 18.94/19.15 (define @t447 () (tptp.hAPP @t380 @t60)) % 18.94/19.15 (define @t448 () (@list @t22 @t60 @t38 @t23 @t10)) % 18.94/19.15 (define @t449 () (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 @t5) @t4))))) % 18.94/19.15 (define @t450 () (tptp.hAPP @t380 @t310)) % 18.94/19.15 (define @t451 () (tptp.hAPP @t39 @t192)) % 18.94/19.15 (define @t452 () (@var "B_i" $$unsorted)) % 18.94/19.15 (define @t453 () (tptp.hAPP @t190 @t452)) % 18.94/19.15 (define @t454 () (tptp.hAPP @t210 @t452)) % 18.94/19.15 (define @t455 () (tptp.hBOOL (tptp.hAPP @t454 @t23))) % 18.94/19.15 (define @t456 () (@list @t452)) % 18.94/19.15 (define @t457 () (tptp.hAPP @t440 @t23)) % 18.94/19.15 (define @t458 () (tptp.hAPP @t457 @t22)) % 18.94/19.15 (define @t459 () (tptp.hBOOL (tptp.hAPP @t458 @t47))) % 18.94/19.15 (define @t460 () (tptp.hAPP @t22 @t47)) % 18.94/19.15 (define @t461 () (tptp.hBOOL @t460)) % 18.94/19.15 (define @t462 () (not @t461)) % 18.94/19.15 (define @t463 () (tptp.hBOOL (tptp.hAPP @t243 @t458))) % 18.94/19.15 (define @t464 () (@list @t23 @t22 @t220 @t10)) % 18.94/19.15 (define @t465 () (@list @t22 @t23 @t220 @t10)) % 18.94/19.15 (define @t466 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t10)) % 18.94/19.15 (define @t467 () (tptp.class_Lattices_Olattice @t10)) % 18.94/19.15 (define @t468 () (@list @t47 @t1 @t2 @t38 @t10)) % 18.94/19.15 (define @t469 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t33)) % 18.94/19.15 (define @t470 () (tptp.hAPP @t469 @t64)) % 18.94/19.15 (define @t471 () (tptp.hAPP @t470 @t70)) % 18.94/19.15 (define @t472 () (tptp.hAPP @t469 @t32)) % 18.94/19.15 (define @t473 () (tptp.hAPP @t472 @t471)) % 18.94/19.15 (define @t474 () (tptp.hAPP @t472 @t64)) % 18.94/19.15 (define @t475 () (= (tptp.hAPP (tptp.hAPP @t469 @t474) @t70) @t473)) % 18.94/19.15 (define @t476 () (tptp.class_Lattices_Osemilattice__sup @t33)) % 18.94/19.15 (define @t477 () (tptp.class_Lattices_Olattice @t33)) % 18.94/19.15 (define @t478 () (tptp.hAPP @t469 @t85)) % 18.94/19.15 (define @t479 () (tptp.hAPP @t469 @t81)) % 18.94/19.15 (define @t480 () (tptp.hAPP @t479 (tptp.hAPP @t478 @t82))) % 18.94/19.15 (define @t481 () (tptp.hAPP @t479 @t85)) % 18.94/19.15 (define @t482 () (tptp.hAPP @t472 @t70)) % 18.94/19.15 (define @t483 () (= @t473 (tptp.hAPP @t470 @t482))) % 18.94/19.15 (define @t484 () (= (tptp.hAPP @t472 @t474) @t474)) % 18.94/19.15 (define @t485 () (tptp.hAPP @t470 @t32)) % 18.94/19.15 (define @t486 () (= @t474 @t485)) % 18.94/19.15 (define @t487 () (= (tptp.hAPP @t472 @t32) @t32)) % 18.94/19.15 (define @t488 () (tptp.hBOOL (tptp.hAPP @t317 @t22))) % 18.94/19.15 (define @t489 () (tptp.hBOOL (tptp.hAPP @t317 @t458))) % 18.94/19.15 (define @t490 () (@list @t56 @t22 @t23 @t10)) % 18.94/19.15 (define @t491 () (tptp.hAPP @t440 @t22)) % 18.94/19.15 (define @t492 () (tptp.hAPP @t491 @t60)) % 18.94/19.15 (define @t493 () (tptp.hAPP @t457 @t492)) % 18.94/19.15 (define @t494 () (tptp.hAPP @t457 @t60)) % 18.94/19.15 (define @t495 () (tptp.hAPP @t491 @t23)) % 18.94/19.15 (define @t496 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t109)) % 18.94/19.15 (define @t497 () (tptp.hAPP (tptp.hAPP @t496 @t23) @t22)) % 18.94/19.15 (define @t498 () (tptp.hBOOL (tptp.hAPP @t87 @t32))) % 18.94/19.15 (define @t499 () (tptp.hBOOL (tptp.hAPP @t90 @t32))) % 18.94/19.15 (define @t500 () (not (=> @t499 (not @t498)))) % 18.94/19.15 (define @t501 () (tptp.hAPP @t34 @t481)) % 18.94/19.15 (define @t502 () (tptp.hBOOL (tptp.hAPP @t501 @t32))) % 18.94/19.15 (define @t503 () (@list @t32 @t85 @t81 @t33)) % 18.94/19.15 (define @t504 () (@var "V_d" $$unsorted)) % 18.94/19.15 (define @t505 () (tptp.hBOOL (tptp.hAPP @t87 @t504))) % 18.94/19.15 (define @t506 () (@list @t504 @t85 @t82 @t81 @t33)) % 18.94/19.15 (define @t507 () (@list @t85 @t32 @t81 @t33)) % 18.94/19.15 (define @t508 () (tptp.hBOOL (tptp.hAPP @t35 @t481))) % 18.94/19.15 (define @t509 () (tptp.hBOOL (tptp.hAPP @t35 @t85))) % 18.94/19.15 (define @t510 () (@list @t81 @t85 @t32 @t33)) % 18.94/19.15 (define @t511 () (tptp.hBOOL (tptp.hAPP @t35 @t81))) % 18.94/19.15 (define @t512 () (@list @t85 @t81 @t32 @t33)) % 18.94/19.15 (define @t513 () (@var "V_z_2" $$unsorted)) % 18.94/19.15 (define @t514 () (tptp.hBOOL (tptp.hAPP @t103 @t513))) % 18.94/19.15 (define @t515 () (tptp.hBOOL (tptp.hAPP @t100 @t513))) % 18.94/19.15 (define @t516 () (and @t515 @t514)) % 18.94/19.15 (define @t517 () (tptp.hAPP @t466 @t47)) % 18.94/19.15 (define @t518 () (tptp.hAPP @t517 @t97)) % 18.94/19.15 (define @t519 () (tptp.class_Lattices_Osemilattice__sup @t10)) % 18.94/19.15 (define @t520 () (@list @t513 @t97 @t47 @t10)) % 18.94/19.15 (define @t521 () (tptp.hBOOL (tptp.hAPP @t65 @t474))) % 18.94/19.15 (define @t522 () (tptp.hBOOL (tptp.hAPP @t35 @t474))) % 18.94/19.15 (define @t523 () (@var "V_D_2" $$unsorted)) % 18.94/19.15 (define @t524 () (tptp.hAPP @t440 @t60)) % 18.94/19.15 (define @t525 () (tptp.hAPP @t26 @t458)) % 18.94/19.15 (define @t526 () (tptp.hBOOL (tptp.hAPP @t27 @t523))) % 18.94/19.15 (define @t527 () (@list @t523 @t22 @t60 @t23 @t10)) % 18.94/19.15 (define @t528 () (@list @t22 @t60 @t23 @t10)) % 18.94/19.15 (define @t529 () (= @t458 @t22)) % 18.94/19.15 (define @t530 () (tptp.hAPP @t496 @t202)) % 18.94/19.15 (define @t531 () (@list @t47 @t348 @t361 @t10)) % 18.94/19.15 (define @t532 () (tptp.tc_fun @t25 @t25)) % 18.94/19.15 (define @t533 () (tptp.c_COMBB @t25 @t532 @t38)) % 18.94/19.15 (define @t534 () (tptp.hAPP (tptp.hAPP @t533 @t440) @t23)) % 18.94/19.15 (define @t535 () (tptp.c_COMBS @t38 @t25 @t25)) % 18.94/19.15 (define @t536 () (tptp.hAPP (tptp.hAPP @t535 @t534) @t22)) % 18.94/19.15 (define @t537 () (@list @t22 @t23 @t178 @t10 @t38)) % 18.94/19.15 (define @t538 () (tptp.hAPP @t186 @t22)) % 18.94/19.15 (define @t539 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t111)) % 18.94/19.15 (define @t540 () (tptp.hAPP @t539 @t23)) % 18.94/19.15 (define @t541 () (tptp.hAPP @t540 @t22)) % 18.94/19.15 (define @t542 () (@list @t190 @t22 @t23 @t10 @t38)) % 18.94/19.15 (define @t543 () (tptp.hAPP @t182 @t60)) % 18.94/19.15 (define @t544 () (tptp.hAPP @t543 @t22)) % 18.94/19.15 (define @t545 () (tptp.hAPP @t457 @t544)) % 18.94/19.15 (define @t546 () (tptp.hAPP @t543 (tptp.hAPP (tptp.hAPP @t344 @t457) @t22))) % 18.94/19.15 (define @t547 () (@list @t22 @t23 @t60 @t10 @t38)) % 18.94/19.15 (define @t548 () (tptp.hAPP (tptp.hAPP @t440 (tptp.hAPP @t543 @t23)) @t22)) % 18.94/19.15 (define @t549 () (tptp.c_COMBC @t38 @t25 @t25)) % 18.94/19.15 (define @t550 () (tptp.hAPP @t543 (tptp.hAPP (tptp.hAPP @t549 @t534) @t22))) % 18.94/19.15 (define @t551 () (@list @t22 @t23 @t60 @t38 @t10)) % 18.94/19.15 (define @t552 () (tptp.c_COMBB @t25 @t25 @t150)) % 18.94/19.15 (define @t553 () (tptp.hAPP (tptp.c_COMBB @t532 (tptp.tc_fun @t320 @t320) @t38) @t552)) % 18.94/19.15 (define @t554 () (tptp.c_COMBC @t38 @t320 @t320)) % 18.94/19.15 (define @t555 () (@var "V_J_2" $$unsorted)) % 18.94/19.15 (define @t556 () (tptp.hAPP @t307 @t555)) % 18.94/19.15 (define @t557 () (tptp.c_COMBB @t320 @t25 @t38)) % 18.94/19.15 (define @t558 () (@list @t22 @t555 @t150 @t23 @t178 @t38 @t10)) % 18.94/19.15 (define @t559 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t395)) % 18.94/19.15 (define @t560 () (tptp.hAPP @t559 @t192)) % 18.94/19.15 (define @t561 () (@var "V_m_2" $$unsorted)) % 18.94/19.15 (define @t562 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t561) @t192)) % 18.94/19.15 (define @t563 () (tptp.hAPP @t559 @t561)) % 18.94/19.15 (define @t564 () (tptp.hAPP @t440 @t563)) % 18.94/19.15 (define @t565 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t561) @t192))) % 18.94/19.15 (define @t566 () (tptp.hBOOL (tptp.hAPP @t441 @t561))) % 18.94/19.15 (define @t567 () (@list @t192 @t561 @t395 @t10)) % 18.94/19.15 (define @t568 () (tptp.hAPP (tptp.hAPP @t279 @t178) @t23)) % 18.94/19.15 (define @t569 () (tptp.hAPP @t23 @t118)) % 18.94/19.15 (define @t570 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t118) @t178))) % 18.94/19.15 (define @t571 () (@list @t23 @t38 @t178 @t118 @t10)) % 18.94/19.15 (define @t572 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t561 @t192)) % 18.94/19.15 (define @t573 () (tptp.hAPP @t133 @t192)) % 18.94/19.15 (define @t574 () (tptp.hAPP @t136 @t192)) % 18.94/19.15 (define @t575 () (tptp.hAPP @t440 @t560)) % 18.94/19.15 (define @t576 () (tptp.hAPP @t130 @t395)) % 18.94/19.15 (define @t577 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t395 @t192)) % 18.94/19.15 (define @t578 () (tptp.hAPP @t139 @t395)) % 18.94/19.15 (define @t579 () (tptp.hAPP @t440 @t578)) % 18.94/19.15 (define @t580 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t561 @t192)) % 18.94/19.15 (define @t581 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t395 @t561)) % 18.94/19.15 (define @t582 () (tptp.hAPP @t440 @t581)) % 18.94/19.15 (define @t583 () (tptp.hAPP @t26 @t60)) % 18.94/19.15 (define @t584 () (tptp.hBOOL (tptp.hAPP @t432 @t23))) % 18.94/19.15 (define @t585 () (tptp.hAPP @t26 @t430)) % 18.94/19.15 (define @t586 () (tptp.hAPP @t99 @t513)) % 18.94/19.15 (define @t587 () (@list @t513 @t23 @t10)) % 18.94/19.15 (define @t588 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t395 @t561)) % 18.94/19.15 (define @t589 () (tptp.hAPP @t440 @t588)) % 18.94/19.15 (define @t590 () (tptp.c_Set_Oimage @t38 @t25 @t22)) % 18.94/19.15 (define @t591 () (tptp.hAPP @t590 @t60)) % 18.94/19.15 (define @t592 () (tptp.hAPP (tptp.c_Set_Oimage @t38 @t25 @t23) @t60)) % 18.94/19.15 (define @t593 () (tptp.hAPP @t186 @t60)) % 18.94/19.15 (define @t594 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t109)) % 18.94/19.15 (define @t595 () (tptp.hAPP (tptp.hAPP @t594 @t23) @t22)) % 18.94/19.15 (define @t596 () (tptp.c_Set_Oimage @t10 @t10 @t390)) % 18.94/19.15 (define @t597 () (@list @t47 @t10)) % 18.94/19.15 (define @t598 () (tptp.hAPP @t523 @t3)) % 18.94/19.15 (define @t599 () (tptp.c_Orderings_Otop__class_Otop @t33)) % 18.94/19.15 (define @t600 () (tptp.c_Orderings_Otop__class_Otop @t25)) % 18.94/19.15 (define @t601 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t25)) % 18.94/19.15 (define @t602 () (tptp.hAPP @t601 @t23)) % 18.94/19.15 (define @t603 () (tptp.hAPP @t602 @t22)) % 18.94/19.15 (define @t604 () (tptp.hBOOL (tptp.hAPP @t603 @t47))) % 18.94/19.15 (define @t605 () (tptp.c_Set_Oimage @t38 @t10 @t2)) % 18.94/19.15 (define @t606 () (tptp.hAPP @t605 @t23)) % 18.94/19.15 (define @t607 () (tptp.hBOOL (tptp.hAPP @t287 @t606))) % 18.94/19.15 (define @t608 () (tptp.hAPP @t179 @t47)) % 18.94/19.15 (define @t609 () (tptp.hBOOL (tptp.hAPP @t608 @t23))) % 18.94/19.15 (define @t610 () (= @t216 @t49)) % 18.94/19.15 (define @t611 () (tptp.hBOOL (tptp.hAPP @t243 @t603))) % 18.94/19.15 (define @t612 () (tptp.c_Orderings_Otop__class_Otop @t111)) % 18.94/19.15 (define @t613 () (tptp.hAPP @t605 @t612)) % 18.94/19.15 (define @t614 () (tptp.hAPP @t210 @t49)) % 18.94/19.15 (define @t615 () (tptp.hBOOL (tptp.hAPP @t287 @t613))) % 18.94/19.15 (define @t616 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t10)) % 18.94/19.15 (define @t617 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t33)) % 18.94/19.15 (define @t618 () (tptp.hAPP @t617 @t64)) % 18.94/19.15 (define @t619 () (tptp.hAPP @t618 @t70)) % 18.94/19.15 (define @t620 () (tptp.hAPP @t617 @t32)) % 18.94/19.15 (define @t621 () (tptp.hAPP @t620 @t619)) % 18.94/19.15 (define @t622 () (tptp.hAPP @t620 @t64)) % 18.94/19.15 (define @t623 () (= (tptp.hAPP (tptp.hAPP @t617 @t622) @t70) @t621)) % 18.94/19.15 (define @t624 () (tptp.class_Lattices_Osemilattice__inf @t33)) % 18.94/19.15 (define @t625 () (tptp.hAPP @t617 @t85)) % 18.94/19.15 (define @t626 () (tptp.hAPP @t617 @t81)) % 18.94/19.15 (define @t627 () (tptp.hAPP @t626 (tptp.hAPP @t625 @t82))) % 18.94/19.15 (define @t628 () (tptp.hAPP @t626 @t85)) % 18.94/19.15 (define @t629 () (tptp.c_Orderings_Otop__class_Otop @t10)) % 18.94/19.15 (define @t630 () (tptp.hAPP @t616 @t47)) % 18.94/19.15 (define @t631 () (tptp.hAPP @t630 @t97)) % 18.94/19.15 (define @t632 () (tptp.hAPP @t620 @t70)) % 18.94/19.15 (define @t633 () (= @t621 (tptp.hAPP @t618 @t632))) % 18.94/19.15 (define @t634 () (= (tptp.hAPP @t620 @t622) @t622)) % 18.94/19.15 (define @t635 () (tptp.hAPP @t618 @t32)) % 18.94/19.15 (define @t636 () (= @t622 @t635)) % 18.94/19.15 (define @t637 () (= (tptp.hAPP @t620 @t32) @t32)) % 18.94/19.15 (define @t638 () (tptp.class_Lattices_Obounded__lattice__top @t33)) % 18.94/19.15 (define @t639 () (tptp.hAPP @t601 @t22)) % 18.94/19.15 (define @t640 () (tptp.hAPP @t639 @t60)) % 18.94/19.15 (define @t641 () (tptp.hAPP @t602 @t640)) % 18.94/19.15 (define @t642 () (tptp.c_Set_Oimage @t38 @t150 @t1)) % 18.94/19.15 (define @t643 () (tptp.c_Set_Oimage @t150 @t10 @t2)) % 18.94/19.15 (define @t644 () (tptp.hAPP @t602 @t60)) % 18.94/19.15 (define @t645 () (tptp.hAPP @t639 @t23)) % 18.94/19.15 (define @t646 () (@list @t22 @t10)) % 18.94/19.15 (define @t647 () (@list @t47 @t38 @t10)) % 18.94/19.15 (define @t648 () (tptp.hAPP @t605 @t22)) % 18.94/19.15 (define @t649 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t111)) % 18.94/19.15 (define @t650 () (tptp.hAPP @t649 @t23)) % 18.94/19.15 (define @t651 () (tptp.hAPP @t650 @t22)) % 18.94/19.15 (define @t652 () (@list @t22 @t23 @t2 @t38 @t10)) % 18.94/19.15 (define @t653 () (tptp.c_COMBB @t38 @t10 @t150)) % 18.94/19.15 (define @t654 () (tptp.c_Set_Oimage @t150 @t38 @t1)) % 18.94/19.15 (define @t655 () (tptp.hAPP (tptp.c_Set_Oimage @t111 @t25 @t605) (tptp.hAPP (tptp.c_Set_OPow @t38) @t23))) % 18.94/19.15 (define @t656 () (@list @t22 @t23 @t2 @t10 @t38)) % 18.94/19.15 (define @t657 () (tptp.c_Orderings_Otop__class_Otop @t109)) % 18.94/19.15 (define @t658 () (@list @t10)) % 18.94/19.15 (define @t659 () (tptp.c_Set_Oimage @t10 @t38 @t2)) % 18.94/19.15 (define @t660 () (tptp.hAPP @t659 @t23)) % 18.94/19.15 (define @t661 () (@list @t2 @t38 @t23 @t47 @t10)) % 18.94/19.15 (define @t662 () (tptp.hAPP @t210 @t513)) % 18.94/19.15 (define @t663 () (not (=> @t511 (not @t509)))) % 18.94/19.15 (define @t664 () (tptp.hBOOL (tptp.hAPP @t35 @t628))) % 18.94/19.15 (define @t665 () (tptp.hAPP @t34 @t628)) % 18.94/19.15 (define @t666 () (tptp.hBOOL (tptp.hAPP @t665 @t32))) % 18.94/19.15 (define @t667 () (@list @t81 @t32 @t85 @t33)) % 18.94/19.15 (define @t668 () (and @t101 @t515)) % 18.94/19.15 (define @t669 () (tptp.class_Lattices_Osemilattice__inf @t10)) % 18.94/19.15 (define @t670 () (tptp.hAPP @t34 @t622)) % 18.94/19.15 (define @t671 () (tptp.hBOOL (tptp.hAPP @t670 @t64))) % 18.94/19.15 (define @t672 () (tptp.hBOOL (tptp.hAPP @t670 @t32))) % 18.94/19.15 (define @t673 () (tptp.hAPP @t659 @t22)) % 18.94/19.15 (define @t674 () (tptp.hAPP @t380 @t660)) % 18.94/19.15 (define @t675 () (tptp.hBOOL (tptp.hAPP @t674 @t673))) % 18.94/19.15 (define @t676 () (@list @t2 @t38 @t22 @t23 @t10)) % 18.94/19.15 (define @t677 () (@var "B_AA" $$unsorted)) % 18.94/19.15 (define @t678 () (tptp.hBOOL (tptp.hAPP @t27 @t606))) % 18.94/19.15 (define @t679 () (@list @t23 @t2 @t38 @t22 @t10)) % 18.94/19.15 (define @t680 () (tptp.class_Lattices_Odistrib__lattice @t33)) % 18.94/19.15 (define @t681 () (@list @t32 @t70 @t64 @t33)) % 18.94/19.15 (define @t682 () (tptp.hAPP (tptp.hAPP @t617 @t474) @t482)) % 18.94/19.15 (define @t683 () (tptp.hAPP @t472 @t619)) % 18.94/19.15 (define @t684 () (tptp.hAPP (tptp.hAPP @t469 @t622) @t632)) % 18.94/19.15 (define @t685 () (tptp.hAPP @t620 @t471)) % 18.94/19.15 (define @t686 () (tptp.hAPP @t601 @t60)) % 18.94/19.15 (define @t687 () (tptp.hAPP @t26 @t603)) % 18.94/19.15 (define @t688 () (tptp.hBOOL (tptp.hAPP @t583 @t23))) % 18.94/19.15 (define @t689 () (@list @t22 @t23 @t60 @t10)) % 18.94/19.15 (define @t690 () (tptp.hAPP @t524 @t23)) % 18.94/19.15 (define @t691 () (tptp.hAPP @t601 @t458)) % 18.94/19.15 (define @t692 () (tptp.hAPP @t686 @t23)) % 18.94/19.15 (define @t693 () (tptp.hAPP @t440 @t603)) % 18.94/19.15 (define @t694 () (@list @t23 @t60 @t22 @t10)) % 18.94/19.15 (define @t695 () (tptp.hAPP @t602 @t492)) % 18.94/19.15 (define @t696 () (tptp.hAPP (tptp.hAPP @t533 @t601) @t23)) % 18.94/19.15 (define @t697 () (tptp.hAPP (tptp.hAPP @t535 @t696) @t22)) % 18.94/19.15 (define @t698 () (tptp.hAPP (tptp.c_Set_Oimage @t38 @t150 @t2) @t23)) % 18.94/19.15 (define @t699 () (tptp.hAPP @t303 @t698)) % 18.94/19.15 (define @t700 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t150 @t25 @t38) @t22) @t2)) % 18.94/19.15 (define @t701 () (@list @t2 @t22 @t150 @t23 @t10 @t38)) % 18.94/19.15 (define @t702 () (tptp.c_COMBB @t111 @t25 @t150)) % 18.94/19.15 (define @t703 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t38 @t25 @t150) @t22) @t2)) % 18.94/19.15 (define @t704 () (tptp.hAPP (tptp.c_Set_Oimage @t150 @t38 @t2) @t23)) % 18.94/19.15 (define @t705 () (@list @t22 @t23 @t2 @t150 @t10 @t38)) % 18.94/19.15 (define @t706 () (tptp.hAPP @t602 (tptp.hAPP @t593 @t22))) % 18.94/19.15 (define @t707 () (tptp.hAPP @t593 (tptp.hAPP (tptp.hAPP @t344 @t602) @t22))) % 18.94/19.15 (define @t708 () (tptp.hAPP @t593 @t23)) % 18.94/19.15 (define @t709 () (tptp.hAPP (tptp.hAPP @t601 @t708) @t22)) % 18.94/19.15 (define @t710 () (tptp.hAPP @t593 (tptp.hAPP (tptp.hAPP @t549 @t696) @t22))) % 18.94/19.15 (define @t711 () (tptp.hAPP @t303 @t555)) % 18.94/19.15 (define @t712 () (forall @t7 (=> @t194 (= @t310 @t600)))) % 18.94/19.15 (define @t713 () (tptp.hAPP @t617 @t405)) % 18.94/19.15 (define @t714 () (tptp.hAPP @t469 @t405)) % 18.94/19.15 (define @t715 () (tptp.hAPP @t601 @t265)) % 18.94/19.15 (define @t716 () (tptp.hAPP @t440 @t265)) % 18.94/19.15 (define @t717 () (tptp.hAPP @t590 @t23)) % 18.94/19.15 (define @t718 () (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t717)) % 18.94/19.15 (define @t719 () (@list @t23 @t22 @t38 @t10)) % 18.94/19.15 (define @t720 () (tptp.hAPP (tptp.hAPP @t295 @t178) @t23)) % 18.94/19.15 (define @t721 () (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t717)) % 18.94/19.15 (define @t722 () (tptp.hAPP @t279 @t600)) % 18.94/19.15 (define @t723 () (tptp.hAPP (tptp.c_COMBC @t38 @t111 tptp.tc_HOL_Obool) @t179)) % 18.94/19.15 (define @t724 () (tptp.c_COMBB @t111 @t111 @t10)) % 18.94/19.15 (define @t725 () (tptp.hAPP (tptp.hAPP @t724 @t723) @t124)) % 18.94/19.15 (define @t726 () (@list @t47 @t124 @t38 @t10)) % 18.94/19.15 (define @t727 () (tptp.hAPP @t295 @t600)) % 18.94/19.15 (define @t728 () (@list @t348 @t2 @t10 @t38)) % 18.94/19.15 (define @t729 () (tptp.c_COMBC @t25 @t25 @t25)) % 18.94/19.15 (define @t730 () (tptp.hAPP @t349 @t22)) % 18.94/19.15 (define @t731 () (tptp.c_Groups_Ouminus__class_Ouminus @t111)) % 18.94/19.15 (define @t732 () (tptp.hAPP @t731 @t23)) % 18.94/19.15 (define @t733 () (= @t613 @t600)) % 18.94/19.15 (define @t734 () (@list @t23 @t2 @t10 @t38)) % 18.94/19.15 (define @t735 () (@var "B_f" $$unsorted)) % 18.94/19.15 (define @t736 () (@list @t735)) % 18.94/19.15 (define @t737 () (tptp.hAPP @t659 @t348)) % 18.94/19.15 (define @t738 () (tptp.hBOOL (tptp.hAPP @t382 @t309))) % 18.94/19.15 (define @t739 () (tptp.hBOOL (tptp.hAPP @t317 @t348))) % 18.94/19.15 (define @t740 () (tptp.c_Orderings_Oorder__class_Omono @t10 @t38 @t2)) % 18.94/19.15 (define @t741 () (and @t116 @t105)) % 18.94/19.15 (define @t742 () (tptp.c_Orderings_Obot__class_Obot @t33)) % 18.94/19.15 (define @t743 () (@var "V_Y_2" $$unsorted)) % 18.94/19.15 (define @t744 () (tptp.c_COMBI @t10)) % 18.94/19.15 (define @t745 () (@list @t743 @t10)) % 18.94/19.15 (define @t746 () (not @t194)) % 18.94/19.15 (define @t747 () (= @t216 @t5)) % 18.94/19.15 (define @t748 () (tptp.hBOOL (tptp.hAPP @t674 @t22))) % 18.94/19.15 (define @t749 () (tptp.c_Orderings_Obot__class_Obot @t25)) % 18.94/19.15 (define @t750 () (tptp.hAPP @t601 @t578)) % 18.94/19.15 (define @t751 () (@list @t219 @t10)) % 18.94/19.15 (define @t752 () (tptp.c_Orderings_Obot__class_Obot @t10)) % 18.94/19.15 (define @t753 () (tptp.c_Orderings_Obot__class_Obot @t109)) % 18.94/19.15 (define @t754 () (= @t23 @t749)) % 18.94/19.15 (define @t755 () (not @t326)) % 18.94/19.15 (define @t756 () (not @t754)) % 18.94/19.15 (define @t757 () (exists @t7 @t326)) % 18.94/19.15 (define @t758 () (tptp.c_Orderings_Obot__class_Obot @t111)) % 18.94/19.15 (define @t759 () (= @t23 @t758)) % 18.94/19.15 (define @t760 () (@list @t23 @t2 @t38 @t10)) % 18.94/19.15 (define @t761 () (@list @t2 @t10 @t38)) % 18.94/19.15 (define @t762 () (= @t22 @t749)) % 18.94/19.15 (define @t763 () (= @t3 @t309)) % 18.94/19.15 (define @t764 () (not @t763)) % 18.94/19.15 (define @t765 () (= @t603 @t749)) % 18.94/19.15 (define @t766 () (tptp.c_Orderings_Obot__class_Obot @t13)) % 18.94/19.15 (define @t767 () (tptp.c_COMBK @t38 @t10)) % 18.94/19.16 (define @t768 () (tptp.hAPP @t767 @t190)) % 18.94/19.16 (define @t769 () (@list @t190 @t10 @t23 @t38)) % 18.94/19.16 (define @t770 () (forall @t7 (=> @t194 (= @t310 @t749)))) % 18.94/19.16 (define @t771 () (tptp.c_COMBK @t111 @t10)) % 18.94/19.16 (define @t772 () (tptp.hAPP @t771 @t220)) % 18.94/19.16 (define @t773 () (tptp.hAPP @t280 @t772)) % 18.94/19.16 (define @t774 () (@list @t220 @t38 @t10 @t23)) % 18.94/19.16 (define @t775 () (tptp.c_COMBK @t25 @t38)) % 18.94/19.16 (define @t776 () (tptp.hAPP @t296 @t772)) % 18.94/19.16 (define @t777 () (tptp.class_Lattices_Obounded__lattice__bot @t33)) % 18.94/19.16 (define @t778 () (= @t236 @t749)) % 18.94/19.16 (define @t779 () (= @t226 @t749)) % 18.94/19.16 (define @t780 () (tptp.hAPP @t601 @t563)) % 18.94/19.16 (define @t781 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t118 @t395)) % 18.94/19.16 (define @t782 () (= @t781 @t749)) % 18.94/19.16 (define @t783 () (tptp.hBOOL (tptp.hAPP @t441 @t118))) % 18.94/19.16 (define @t784 () (@list @t118 @t395 @t10)) % 18.94/19.16 (define @t785 () (tptp.hAPP @t601 @t3)) % 18.94/19.16 (define @t786 () (tptp.hAPP @t273 @t3)) % 18.94/19.16 (define @t787 () (tptp.hAPP @t601 @t588)) % 18.94/19.16 (define @t788 () (tptp.hAPP @t2 @t22)) % 18.94/19.16 (define @t789 () (tptp.hAPP @t2 @t23)) % 18.94/19.16 (define @t790 () (tptp.c_Orderings_Oorder__class_Omono @t25 @t111 @t2)) % 18.94/19.16 (define @t791 () (tptp.hAPP @t279 @t60)) % 18.94/19.16 (define @t792 () (tptp.hAPP @t791 @t22)) % 18.94/19.16 (define @t793 () (tptp.hAPP @t540 @t792)) % 18.94/19.16 (define @t794 () (tptp.hAPP @t791 (tptp.hAPP (tptp.hAPP @t724 @t540) @t22))) % 18.94/19.16 (define @t795 () (= @t60 @t749)) % 18.94/19.16 (define @t796 () (not @t795)) % 18.94/19.16 (define @t797 () (@list @t22 @t23 @t38 @t10 @t60)) % 18.94/19.16 (define @t798 () (tptp.hAPP (tptp.hAPP @t539 (tptp.hAPP @t791 @t23)) @t22)) % 18.94/19.16 (define @t799 () (tptp.tc_fun @t111 @t111)) % 18.94/19.16 (define @t800 () (tptp.c_COMBB @t111 @t799 @t10)) % 18.94/19.16 (define @t801 () (tptp.hAPP @t800 @t539)) % 18.94/19.16 (define @t802 () (tptp.hAPP @t801 @t23)) % 18.94/19.16 (define @t803 () (tptp.c_COMBC @t10 @t111 @t111)) % 18.94/19.16 (define @t804 () (tptp.hAPP @t791 (tptp.hAPP (tptp.hAPP @t803 @t802) @t22))) % 18.94/19.16 (define @t805 () (tptp.hAPP @t295 @t60)) % 18.94/19.16 (define @t806 () (tptp.hAPP @t805 (tptp.hAPP (tptp.hAPP @t724 @t650) @t22))) % 18.94/19.16 (define @t807 () (tptp.hAPP @t650 (tptp.hAPP @t805 @t22))) % 18.94/19.16 (define @t808 () (tptp.hAPP (tptp.hAPP @t800 @t649) @t23)) % 18.94/19.16 (define @t809 () (tptp.hAPP @t805 (tptp.hAPP (tptp.hAPP @t803 @t808) @t22))) % 18.94/19.16 (define @t810 () (tptp.hAPP @t805 @t23)) % 18.94/19.16 (define @t811 () (tptp.hAPP (tptp.hAPP @t649 @t810) @t22)) % 18.94/19.16 (define @t812 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t38)) % 18.94/19.16 (define @t813 () (tptp.hAPP @t39 (tptp.hAPP (tptp.hAPP @t812 @t789) @t788))) % 18.94/19.16 (define @t814 () (tptp.class_Lattices_Osemilattice__sup @t38)) % 18.94/19.16 (define @t815 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t38)) % 18.94/19.16 (define @t816 () (tptp.hAPP (tptp.hAPP @t815 @t789) @t788)) % 18.94/19.16 (define @t817 () (tptp.hAPP @t616 @t23)) % 18.94/19.16 (define @t818 () (tptp.class_Lattices_Osemilattice__inf @t38)) % 18.94/19.16 (define @t819 () (@list @t33)) % 18.94/19.16 (define @t820 () (tptp.hAPP @t601 @t445)) % 18.94/19.16 (define @t821 () (tptp.hAPP @t601 @t581)) % 18.94/19.16 (define @t822 () (tptp.c_Set_Oinsert @t10)) % 18.94/19.16 (define @t823 () (tptp.hAPP @t440 (tptp.hAPP (tptp.hAPP @t822 @t395) @t749))) % 18.94/19.16 (define @t824 () (tptp.hAPP (tptp.hAPP @t822 @t192) @t749)) % 18.94/19.16 (define @t825 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t395 @t192)) % 18.94/19.16 (define @t826 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t561 @t192)) % 18.94/19.16 (define @t827 () (tptp.c_Groups_Ominus__class_Ominus @t111)) % 18.94/19.16 (define @t828 () (tptp.hAPP @t827 @t23)) % 18.94/19.16 (define @t829 () (tptp.hAPP @t828 @t792)) % 18.94/19.16 (define @t830 () (tptp.hAPP @t805 (tptp.hAPP (tptp.hAPP @t724 @t828) @t22))) % 18.94/19.16 (define @t831 () (@var "V_n_2" $$unsorted)) % 18.94/19.16 (define @t832 () (@list @t831 @t10)) % 18.94/19.16 (define @t833 () (tptp.hAPP @t822 @t216)) % 18.94/19.16 (define @t834 () (tptp.hAPP @t833 @t22)) % 18.94/19.16 (define @t835 () (tptp.hBOOL (tptp.hAPP @t250 @t834))) % 18.94/19.16 (define @t836 () (tptp.hBOOL (tptp.hAPP @t250 @t22))) % 18.94/19.16 (define @t837 () (not @t836)) % 18.94/19.16 (define @t838 () (@list @t216 @t22 @t219 @t10)) % 18.94/19.16 (define @t839 () (not @t330)) % 18.94/19.16 (define @t840 () (tptp.hAPP @t833 @t23)) % 18.94/19.16 (define @t841 () (tptp.hBOOL (tptp.hAPP @t250 @t840))) % 18.94/19.16 (define @t842 () (@list @t23 @t216 @t219 @t10)) % 18.94/19.16 (define @t843 () (tptp.c_Groups_Ominus__class_Ominus @t25)) % 18.94/19.16 (define @t844 () (tptp.hAPP @t843 @t23)) % 18.94/19.16 (define @t845 () (tptp.hAPP @t844 @t22)) % 18.94/19.16 (define @t846 () (tptp.hBOOL (tptp.hAPP @t243 @t845))) % 18.94/19.16 (define @t847 () (tptp.hAPP @t822 @t219)) % 18.94/19.16 (define @t848 () (tptp.hAPP @t847 @t749)) % 18.94/19.16 (define @t849 () (tptp.hAPP @t843 @t845)) % 18.94/19.16 (define @t850 () (tptp.hAPP @t847 @t22)) % 18.94/19.16 (define @t851 () (tptp.hAPP @t844 @t850)) % 18.94/19.16 (define @t852 () (@list @t22 @t219 @t23 @t10)) % 18.94/19.16 (define @t853 () (tptp.hAPP @t844 @t848)) % 18.94/19.16 (define @t854 () (tptp.hAPP @t847 @t23)) % 18.94/19.16 (define @t855 () (tptp.hAPP @t847 @t853)) % 18.94/19.16 (define @t856 () (@list @t23 @t219 @t10)) % 18.94/19.16 (define @t857 () (tptp.hAPP @t822 @t47)) % 18.94/19.16 (define @t858 () (tptp.hAPP @t857 @t23)) % 18.94/19.16 (define @t859 () (tptp.hAPP @t843 @t858)) % 18.94/19.16 (define @t860 () (tptp.hAPP @t859 @t22)) % 18.94/19.16 (define @t861 () (not @t336)) % 18.94/19.16 (define @t862 () (=> @t336 (= @t860 @t845))) % 18.94/19.16 (define @t863 () (@list @t23 @t22 @t47 @t10)) % 18.94/19.16 (define @t864 () (= @t220 @t215)) % 18.94/19.16 (define @t865 () (tptp.c_Groups_Ominus__class_Ominus @t10)) % 18.94/19.16 (define @t866 () (tptp.hAPP (tptp.hAPP @t865 @t219) @t216)) % 18.94/19.16 (define @t867 () (= @t866 (tptp.hAPP (tptp.hAPP @t865 @t220) @t215))) % 18.94/19.16 (define @t868 () (tptp.class_Groups_Oab__group__add @t10)) % 18.94/19.16 (define @t869 () (= @t97 @t47)) % 18.94/19.16 (define @t870 () (tptp.hAPP @t822 @t97)) % 18.94/19.16 (define @t871 () (tptp.hAPP @t870 @t23)) % 18.94/19.16 (define @t872 () (@list @t23 @t97 @t47 @t10)) % 18.94/19.16 (define @t873 () (tptp.hAPP @t857 @t749)) % 18.94/19.16 (define @t874 () (not @t335)) % 18.94/19.16 (define @t875 () (tptp.hBOOL (tptp.hAPP @t221 @t215))) % 18.94/19.16 (define @t876 () (tptp.hAPP (tptp.hAPP @t822 @t118) @t749)) % 18.94/19.16 (define @t877 () (tptp.c_Groups_Ominus__class_Ominus @t33)) % 18.94/19.16 (define @t878 () (tptp.hAPP @t877 @t85)) % 18.94/19.16 (define @t879 () (tptp.hAPP @t878 @t81)) % 18.94/19.16 (define @t880 () (tptp.hAPP @t877 @t81)) % 18.94/19.16 (define @t881 () (tptp.hAPP @t880 @t85)) % 18.94/19.16 (define @t882 () (tptp.class_Groups_Oab__group__add @t33)) % 18.94/19.16 (define @t883 () (tptp.hAPP @t857 @t22)) % 18.94/19.16 (define @t884 () (or @t330 @t251)) % 18.94/19.16 (define @t885 () (@list @t22 @t219 @t10)) % 18.94/19.16 (define @t886 () (tptp.hAPP @t833 @t749)) % 18.94/19.16 (define @t887 () (= @t216 @t220)) % 18.94/19.16 (define @t888 () (= @t216 @t215)) % 18.94/19.16 (define @t889 () (= @t219 @t220)) % 18.94/19.16 (define @t890 () (and @t889 @t888)) % 18.94/19.16 (define @t891 () (tptp.hAPP @t822 @t220)) % 18.94/19.16 (define @t892 () (tptp.hAPP @t847 @t886)) % 18.94/19.16 (define @t893 () (tptp.hAPP @t843 @t60)) % 18.94/19.16 (define @t894 () (tptp.hAPP @t843 @t22)) % 18.94/19.16 (define @t895 () (tptp.hAPP @t26 @t845)) % 18.94/19.16 (define @t896 () (tptp.hAPP @t894 @t60)) % 18.94/19.16 (define @t897 () (tptp.hAPP @t844 @t60)) % 18.94/19.16 (define @t898 () (tptp.hAPP @t894 @t23)) % 18.94/19.16 (define @t899 () (tptp.hAPP @t457 @t898)) % 18.94/19.16 (define @t900 () (tptp.hAPP @t843 @t644)) % 18.94/19.16 (define @t901 () (tptp.hAPP @t900 @t640)) % 18.94/19.16 (define @t902 () (tptp.hAPP @t601 @t845)) % 18.94/19.16 (define @t903 () (tptp.hAPP @t2 @t219)) % 18.94/19.16 (define @t904 () (tptp.c_Set_Oinsert @t38)) % 18.94/19.16 (define @t905 () (tptp.hAPP @t904 @t219)) % 18.94/19.16 (define @t906 () (tptp.hAPP @t905 @t22)) % 18.94/19.16 (define @t907 () (tptp.hAPP @t847 @t603)) % 18.94/19.16 (define @t908 () (@list @t22 @t23 @t219 @t10)) % 18.94/19.16 (define @t909 () (@var "V_t_2" $$unsorted)) % 18.94/19.16 (define @t910 () (tptp.hAPP (tptp.c_Set_Oinsert @t12) @t909)) % 18.94/19.16 (define @t911 () (=> @t874 @t30)) % 18.94/19.16 (define @t912 () (tptp.hAPP @t844 @t873)) % 18.94/19.16 (define @t913 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t912) @t22))) % 18.94/19.16 (define @t914 () (tptp.hBOOL (tptp.hAPP @t29 @t883))) % 18.94/19.16 (define @t915 () (@list @t22 @t47 @t23 @t10)) % 18.94/19.16 (define @t916 () (tptp.hAPP (tptp.hAPP @t843 @t708) @t22)) % 18.94/19.16 (define @t917 () (tptp.hAPP @t593 (tptp.hAPP (tptp.hAPP @t549 (tptp.hAPP (tptp.hAPP @t533 @t843) @t23)) @t22))) % 18.94/19.16 (define @t918 () (tptp.hAPP @t847 @t544)) % 18.94/19.16 (define @t919 () (tptp.hAPP @t543 (tptp.hAPP (tptp.hAPP @t344 @t847) @t22))) % 18.94/19.16 (define @t920 () (tptp.hAPP @t877 @t32)) % 18.94/19.16 (define @t921 () (tptp.hAPP @t920 @t64)) % 18.94/19.16 (define @t922 () (= @t216 @t219)) % 18.94/19.16 (define @t923 () (tptp.hBOOL (tptp.hAPP @t287 @t848))) % 18.94/19.16 (define @t924 () (tptp.hAPP (tptp.hAPP @t601 @t850) @t60)) % 18.94/19.16 (define @t925 () (tptp.hBOOL (tptp.hAPP @t250 @t60))) % 18.94/19.16 (define @t926 () (=> @t925 (= @t924 (tptp.hAPP @t847 @t640)))) % 18.94/19.16 (define @t927 () (@list @t22 @t60 @t219 @t10)) % 18.94/19.16 (define @t928 () (tptp.hAPP @t602 @t850)) % 18.94/19.16 (define @t929 () (=> @t251 (= @t928 @t907))) % 18.94/19.16 (define @t930 () (=> (not @t925) (= @t924 @t640))) % 18.94/19.16 (define @t931 () (=> @t252 (= @t928 @t603))) % 18.94/19.16 (define @t932 () (tptp.hAPP @t828 @t22)) % 18.94/19.16 (define @t933 () (tptp.hAPP @t440 @t845)) % 18.94/19.16 (define @t934 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t207)) % 18.94/19.16 (define @t935 () (and @t330 @t887)) % 18.94/19.16 (define @t936 () (@list @t220 @t216 @t219 @t10)) % 18.94/19.16 (define @t937 () (tptp.hAPP @t466 @t219)) % 18.94/19.16 (define @t938 () (tptp.hAPP @t616 @t219)) % 18.94/19.16 (define @t939 () (tptp.c_Set_Oinsert @t25)) % 18.94/19.16 (define @t940 () (tptp.hAPP (tptp.hAPP @t939 @t219) @t22)) % 18.94/19.16 (define @t941 () (tptp.hAPP (tptp.hAPP @t939 @t23) (tptp.hAPP (tptp.hAPP @t939 @t22) @t753))) % 18.94/19.16 (define @t942 () (tptp.hAPP (tptp.hAPP @t724 @t905) @t22)) % 18.94/19.16 (define @t943 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t192) @t23))) % 18.94/19.16 (define @t944 () (@list @t22 @t219 @t38 @t23 @t192 @t10)) % 18.94/19.16 (define @t945 () (tptp.hAPP (tptp.c_Set_Oimage @t10 @t38 (tptp.hAPP @t767 @t220)) @t23)) % 18.94/19.16 (define @t946 () (= @t945 (tptp.hAPP (tptp.hAPP @t904 @t220) @t758))) % 18.94/19.16 (define @t947 () (tptp.hAPP @t791 @t942)) % 18.94/19.16 (define @t948 () (tptp.hAPP @t905 @t792)) % 18.94/19.16 (define @t949 () (tptp.hAPP @t905 @t758)) % 18.94/19.16 (define @t950 () (@list @t22 @t219 @t38 @t10 @t60)) % 18.94/19.16 (define @t951 () (tptp.c_COMBC @t10 @t25 @t25)) % 18.94/19.16 (define @t952 () (tptp.hAPP (tptp.hAPP @t951 @t822) @t749)) % 18.94/19.16 (define @t953 () (tptp.hAPP @t905 @t23)) % 18.94/19.16 (define @t954 () (@list @t22 @t23 @t219 @t10 @t38)) % 18.94/19.16 (define @t955 () (tptp.hAPP @t844 @t544)) % 18.94/19.16 (define @t956 () (tptp.hAPP @t593 (tptp.hAPP (tptp.hAPP @t344 @t844) @t22))) % 18.94/19.16 (define @t957 () (tptp.hAPP @t937 @t216)) % 18.94/19.16 (define @t958 () (tptp.hAPP @t938 @t216)) % 18.94/19.16 (define @t959 () (tptp.hAPP (tptp.hAPP @t827 @t810) @t22)) % 18.94/19.16 (define @t960 () (tptp.hAPP (tptp.hAPP @t800 @t827) @t23)) % 18.94/19.16 (define @t961 () (tptp.hAPP @t805 (tptp.hAPP (tptp.hAPP @t803 @t960) @t22))) % 18.94/19.16 (define @t962 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t395 @t561)) % 18.94/19.16 (define @t963 () (tptp.hAPP @t601 @t962)) % 18.94/19.16 (define @t964 () (tptp.c_Fun_Ofun__upd @t10 @t38 @t2 @t47 @t97)) % 18.94/19.16 (define @t965 () (tptp.hAPP (tptp.c_Set_Oimage @t10 @t38 @t964) @t23)) % 18.94/19.16 (define @t966 () (tptp.hAPP @t440 @t962)) % 18.94/19.16 (define @t967 () (tptp.c_Orderings_Oord__class_Oless @t10)) % 18.94/19.16 (define @t968 () (tptp.hAPP @t967 @t395)) % 18.94/19.16 (define @t969 () (tptp.hBOOL (tptp.hAPP @t968 @t561))) % 18.94/19.16 (define @t970 () (tptp.hAPP @t440 @t825)) % 18.94/19.16 (define @t971 () (tptp.hBOOL (tptp.hAPP @t968 @t192))) % 18.94/19.16 (define @t972 () (tptp.hAPP @t967 @t561)) % 18.94/19.16 (define @t973 () (tptp.hBOOL (tptp.hAPP @t972 @t192))) % 18.94/19.16 (define @t974 () (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t25 @t2)) % 18.94/19.16 (define @t975 () (tptp.hBOOL (tptp.hAPP @t250 @t974))) % 18.94/19.16 (define @t976 () (tptp.hAPP @t440 @t271)) % 18.94/19.16 (define @t977 () (tptp.hAPP @t2 (tptp.hAPP @t976 @t974))) % 18.94/19.16 (define @t978 () (tptp.hAPP @t26 @t271)) % 18.94/19.16 (define @t979 () (tptp.hBOOL (tptp.hAPP @t250 @t271))) % 18.94/19.16 (define @t980 () (tptp.c_Orderings_Oorder__class_Omono @t25 @t25 @t2)) % 18.94/19.16 (define @t981 () (@list @t271 @t219 @t2 @t10)) % 18.94/19.16 (define @t982 () (tptp.hAPP @t976 @t23)) % 18.94/19.16 (define @t983 () (= @t23 @t974)) % 18.94/19.16 (define @t984 () (@list @t271 @t219 @t2 @t10 @t23)) % 18.94/19.16 (define @t985 () (@list @t47 @t2 @t38 @t10)) % 18.94/19.16 (define @t986 () (tptp.c_Orderings_Oord__class_Oless @t33)) % 18.94/19.16 (define @t987 () (tptp.hAPP @t986 @t32)) % 18.94/19.16 (define @t988 () (tptp.hAPP @t967 @t97)) % 18.94/19.16 (define @t989 () (tptp.hBOOL (tptp.hAPP @t988 @t47))) % 18.94/19.16 (define @t990 () (tptp.hAPP @t967 @t47)) % 18.94/19.16 (define @t991 () (tptp.hBOOL (tptp.hAPP @t990 @t97))) % 18.94/19.16 (define @t992 () (not @t98)) % 18.94/19.16 (define @t993 () (not @t991)) % 18.94/19.16 (define @t994 () (tptp.hAPP @t986 @t64)) % 18.94/19.16 (define @t995 () (tptp.hBOOL (tptp.hAPP @t994 @t32))) % 18.94/19.16 (define @t996 () (tptp.hBOOL (tptp.hAPP @t987 @t64))) % 18.94/19.16 (define @t997 () (= @t993 @t98)) % 18.94/19.16 (define @t998 () (not @t996)) % 18.94/19.16 (define @t999 () (not @t76)) % 18.94/19.16 (define @t1000 () (=> @t999 (=> @t998 @t995))) % 18.94/19.16 (define @t1001 () (tptp.hAPP @t986 @t85)) % 18.94/19.16 (define @t1002 () (tptp.hBOOL (tptp.hAPP @t1001 @t81))) % 18.94/19.16 (define @t1003 () (tptp.hAPP @t986 @t81)) % 18.94/19.16 (define @t1004 () (tptp.hBOOL (tptp.hAPP @t1003 @t85))) % 18.94/19.16 (define @t1005 () (@list @t81 @t85 @t33)) % 18.94/19.16 (define @t1006 () (tptp.hBOOL (tptp.hAPP @t1003 @t82))) % 18.94/19.16 (define @t1007 () (tptp.hBOOL (tptp.hAPP @t1001 @t82))) % 18.94/19.16 (define @t1008 () (tptp.hAPP @t986 @t82)) % 18.94/19.16 (define @t1009 () (tptp.hBOOL (tptp.hAPP @t1008 @t81))) % 18.94/19.16 (define @t1010 () (tptp.hBOOL (tptp.hAPP @t987 @t70))) % 18.94/19.16 (define @t1011 () (=> (tptp.hBOOL (tptp.hAPP @t994 @t70)) @t1010)) % 18.94/19.16 (define @t1012 () (tptp.hAPP @t986 @t70)) % 18.94/19.16 (define @t1013 () (tptp.hBOOL (tptp.hAPP @t1012 @t32))) % 18.94/19.16 (define @t1014 () (=> (tptp.hBOOL (tptp.hAPP @t1012 @t64)) @t1013)) % 18.94/19.16 (define @t1015 () (= @t49 @t97)) % 18.94/19.16 (define @t1016 () (@list @t97 @t47 @t2 @t38 @t10)) % 18.94/19.16 (define @t1017 () (@list @t513 @t97 @t47 @t2 @t38 @t10)) % 18.94/19.16 (define @t1018 () (tptp.c_Fun_Ofun__upd @t38 @t10 @t2 @t47 @t97)) % 18.94/19.16 (define @t1019 () (tptp.hAPP @t2 @t513)) % 18.94/19.16 (define @t1020 () (tptp.hAPP @t964 @t513)) % 18.94/19.16 (define @t1021 () (= @t513 @t47)) % 18.94/19.16 (define @t1022 () (=> (not @t1021) (= @t1020 @t1019))) % 18.94/19.16 (define @t1023 () (@list @t97 @t2 @t38 @t10 @t47 @t513)) % 18.94/19.16 (define @t1024 () (tptp.c_Orderings_Oord__class_Oless @t25)) % 18.94/19.16 (define @t1025 () (@list @t831 @t561 @t10)) % 18.94/19.16 (define @t1026 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t10 @t38 @t2 @t219 @t216) @t47)) % 18.94/19.16 (define @t1027 () (= @t47 @t219)) % 18.94/19.16 (define @t1028 () (tptp.hAPP @t967 @t216)) % 18.94/19.16 (define @t1029 () (tptp.hAPP @t967 @t220)) % 18.94/19.16 (define @t1030 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t42) @t2) @t1))) % 18.94/19.16 (define @t1031 () (not @t95)) % 18.94/19.16 (define @t1032 () (tptp.hAPP @t1024 @t23)) % 18.94/19.16 (define @t1033 () (tptp.hBOOL (tptp.hAPP @t1032 @t22))) % 18.94/19.16 (define @t1034 () (tptp.hBOOL (tptp.hAPP @t1029 @t215))) % 18.94/19.16 (define @t1035 () (tptp.hAPP @t967 @t219)) % 18.94/19.16 (define @t1036 () (tptp.hBOOL (tptp.hAPP @t1035 @t216))) % 18.94/19.16 (define @t1037 () (tptp.hBOOL (tptp.hAPP @t987 @t481))) % 18.94/19.16 (define @t1038 () (tptp.hBOOL (tptp.hAPP @t987 @t81))) % 18.94/19.16 (define @t1039 () (tptp.hBOOL (tptp.hAPP @t987 @t85))) % 18.94/19.16 (define @t1040 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t628) @t32))) % 18.94/19.16 (define @t1041 () (tptp.hBOOL (tptp.hAPP @t1003 @t32))) % 18.94/19.16 (define @t1042 () (tptp.hBOOL (tptp.hAPP @t1001 @t32))) % 18.94/19.16 (define @t1043 () (tptp.hAPP @t967 @t418)) % 18.94/19.16 (define @t1044 () (tptp.hAPP @t967 @t419)) % 18.94/19.16 (define @t1045 () (tptp.hBOOL (tptp.hAPP @t1044 @t216))) % 18.94/19.16 (define @t1046 () (tptp.hBOOL (tptp.hAPP @t1032 @t60))) % 18.94/19.16 (define @t1047 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1024 @t22) @t60)) @t1046)) % 18.94/19.16 (define @t1048 () (= @t226 @t225)) % 18.94/19.16 (define @t1049 () (and @t157 @t127)) % 18.94/19.16 (define @t1050 () (tptp.hAPP @t967 @t3)) % 18.94/19.16 (define @t1051 () (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t10 @t2)) % 18.94/19.16 (define @t1052 () (tptp.hAPP @t99 @t271)) % 18.94/19.16 (define @t1053 () (tptp.hBOOL (tptp.hAPP @t1052 @t1051))) % 18.94/19.16 (define @t1054 () (tptp.hAPP @t2 @t271)) % 18.94/19.16 (define @t1055 () (@list @t2 @t271 @t10)) % 18.94/19.16 (define @t1056 () (tptp.c_Orderings_Oord__class_Oless @t38)) % 18.94/19.16 (define @t1057 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1056 @t49) @t123))) % 18.94/19.16 (define @t1058 () (tptp.hAPP @t967 @t118)) % 18.94/19.16 (define @t1059 () (tptp.c_Orderings_Oorder__class_Omono @t10 @t10 @t2)) % 18.94/19.16 (define @t1060 () (= @t23 @t1051)) % 18.94/19.16 (define @t1061 () (@list @t2 @t23 @t10)) % 18.94/19.16 (define @t1062 () (tptp.hAPP @t2 @t1051)) % 18.94/19.16 (define @t1063 () (@list @t2 @t10)) % 18.94/19.16 (define @t1064 () (tptp.hBOOL (tptp.hAPP @t1028 @t219))) % 18.94/19.16 (define @t1065 () (not @t1036)) % 18.94/19.16 (define @t1066 () (not (tptp.hBOOL (tptp.hAPP @t1058 @t395)))) % 18.94/19.16 (define @t1067 () (@list @t395 @t118 @t10)) % 18.94/19.16 (define @t1068 () (tptp.hAPP @t1 @t219)) % 18.94/19.16 (define @t1069 () (tptp.hAPP (tptp.c_Set_Oimage @t10 @t38 @t1) @t271)) % 18.94/19.16 (define @t1070 () (tptp.hAPP @t466 @t271)) % 18.94/19.16 (define @t1071 () (tptp.hAPP @t1070 @t1051)) % 18.94/19.16 (define @t1072 () (tptp.hAPP @t2 @t1071)) % 18.94/19.16 (define @t1073 () (tptp.hBOOL (tptp.hAPP @t1052 @t1072))) % 18.94/19.16 (define @t1074 () (tptp.hAPP (tptp.c_COMBB @t25 @t532 @t25) @t440)) % 18.94/19.16 (define @t1075 () (tptp.hAPP @t729 (tptp.hAPP @t1074 (tptp.hAPP (tptp.hAPP @t729 (tptp.hAPP @t1074 @t2)) @t271)))) % 18.94/19.16 (define @t1076 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t25 (tptp.hAPP @t1075 @t974))) % 18.94/19.16 (define @t1077 () (tptp.hAPP @t2 @t1076)) % 18.94/19.16 (define @t1078 () (tptp.hBOOL (tptp.hAPP @t978 @t1077))) % 18.94/19.16 (define @t1079 () (tptp.c_COMBB @t25 tptp.tc_HOL_Obool @t10)) % 18.94/19.16 (define @t1080 () (tptp.hAPP @t49 @t97)) % 18.94/19.16 (define @t1081 () (@list @t97 @t513 @t2 @t38 @t23 @t47 @t10)) % 18.94/19.16 (define @t1082 () (@var "V_F_2" $$unsorted)) % 18.94/19.16 (define @t1083 () (tptp.hAPP (tptp.hAPP @t939 @t47) @t1082)) % 18.94/19.16 (define @t1084 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t10 @t2)) % 18.94/19.16 (define @t1085 () (tptp.hAPP @t99 @t1084)) % 18.94/19.16 (define @t1086 () (tptp.hAPP @t659 @t845)) % 18.94/19.16 (define @t1087 () (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t22)) % 18.94/19.16 (define @t1088 () (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t23)) % 18.94/19.16 (define @t1089 () (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t458)) % 18.94/19.16 (define @t1090 () (@list @t2 @t38 @t10)) % 18.94/19.16 (define @t1091 () (tptp.tc_fun @t150 @t38)) % 18.94/19.16 (define @t1092 () (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t600)) % 18.94/19.16 (define @t1093 () (tptp.hAPP @t2 @t309)) % 18.94/19.16 (define @t1094 () (tptp.hBOOL (tptp.hAPP @t311 @t23))) % 18.94/19.16 (define @t1095 () (not @t175)) % 18.94/19.16 (define @t1096 () (@list @t97 @t47 @t23 @t2 @t38 @t10)) % 18.94/19.16 (define @t1097 () (@list @t23 @t22 @t2 @t38 @t10)) % 18.94/19.16 (define @t1098 () (@var "V_a2_2" $$unsorted)) % 18.94/19.16 (define @t1099 () (@var "V_a1_2" $$unsorted)) % 18.94/19.16 (define @t1100 () (@list @t513 @t2 @t38 @t10)) % 18.94/19.16 (define @t1101 () (@list @t23 @t2 @t10)) % 18.94/19.16 (define @t1102 () (= (= @t660 @t673) @t24)) % 18.94/19.16 (define @t1103 () (tptp.hAPP @t2 @t1084)) % 18.94/19.16 (define @t1104 () (@var "V_h_2" $$unsorted)) % 18.94/19.16 (define @t1105 () (= @t195 @t3)) % 18.94/19.16 (define @t1106 () (tptp.hAPP @t2 @t195)) % 18.94/19.16 (define @t1107 () (tptp.hAPP @t659 @t600)) % 18.94/19.16 (define @t1108 () (tptp.hAPP @t179 @t903)) % 18.94/19.16 (define @t1109 () (@list @t23 @t219 @t2 @t38 @t10)) % 18.94/19.16 (define @t1110 () (= (tptp.hAPP @t659 @t603) (tptp.hAPP (tptp.hAPP @t649 @t660) @t673))) % 18.94/19.16 (define @t1111 () (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t60)) % 18.94/19.16 (define @t1112 () (@list @t22 @t23 @t60 @t2 @t38 @t10)) % 18.94/19.16 (define @t1113 () (= @t1086 (tptp.hAPP (tptp.hAPP @t827 @t660) @t673))) % 18.94/19.16 (define @t1114 () (tptp.hAPP @t179 @t97)) % 18.94/19.16 (define @t1115 () (tptp.hBOOL (tptp.hAPP @t1114 @t660))) % 18.94/19.16 (define @t1116 () (tptp.hAPP @t731 @t660)) % 18.94/19.16 (define @t1117 () (tptp.hAPP @t659 @t265)) % 18.94/19.16 (define @t1118 () (@var "V_A_H_2" $$unsorted)) % 18.94/19.16 (define @t1119 () (@var "B_g" $$unsorted)) % 18.94/19.16 (define @t1120 () (tptp.hAPP @t380 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t38 @t735) @t23))) % 18.94/19.16 (define @t1121 () (tptp.c_Fun_Oinj__on @t10 @t38 @t735 @t23)) % 18.94/19.16 (define @t1122 () (tptp.c_HOL_OThe @t10 @t56)) % 18.94/19.16 (define @t1123 () (tptp.c_Partial__Function_Oflat__lub @t10 @t216 @t23)) % 18.94/19.16 (define @t1124 () (tptp.hBOOL (tptp.hAPP @t29 @t886))) % 18.94/19.16 (define @t1125 () (tptp.hAPP @t822 @t3)) % 18.94/19.16 (define @t1126 () (tptp.hAPP @t1125 @t749)) % 18.94/19.16 (define @t1127 () (@var "V_a4_2" $$unsorted)) % 18.94/19.16 (define @t1128 () (@var "V_a3_2" $$unsorted)) % 18.94/19.16 (define @t1129 () (@var "V_a5_2" $$unsorted)) % 18.94/19.16 (define @t1130 () (tptp.hAPP (tptp.hAPP @t1128 @t1099) @t1129)) % 18.94/19.16 (define @t1131 () (@list @t3 @t195)) % 18.94/19.16 (define @t1132 () (= @t1098 @t749)) % 18.94/19.16 (define @t1133 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t150 @t111) @t23)) % 18.94/19.16 (define @t1134 () (= (tptp.hAPP @t659 (tptp.hAPP @t308 @t22)) (tptp.hAPP @t1133 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 @t111 @t150) @t659) @t22)))) % 18.94/19.16 (define @t1135 () (@var "V_j_2" $$unsorted)) % 18.94/19.16 (define @t1136 () (tptp.c_member @t150)) % 18.94/19.16 (define @t1137 () (tptp.c_Fun_Othe__inv__into @t10 @t38 @t23 @t2)) % 18.94/19.16 (define @t1138 () (tptp.hAPP @t1137 @t47)) % 18.94/19.16 (define @t1139 () (tptp.hBOOL (tptp.hAPP @t608 @t660))) % 18.94/19.16 (define @t1140 () (tptp.hAPP (tptp.hAPP @t112 tptp.c_fequal) @t2)) % 18.94/19.16 (define @t1141 () (tptp.c_COMBC @t10 @t38 tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t1142 () (tptp.hAPP @t1141 @t1140)) % 18.94/19.16 (define @t1143 () (tptp.c_Set_Ovimage @t10 @t38 @t2)) % 18.94/19.16 (define @t1144 () (tptp.hAPP @t1143 @t949)) % 18.94/19.16 (define @t1145 () (@list @t219 @t2 @t38 @t10)) % 18.94/19.16 (define @t1146 () (@var "B_A" $$unsorted)) % 18.94/19.16 (define @t1147 () (@list @t1146)) % 18.94/19.16 (define @t1148 () (tptp.c_Set_Ovimage @t38 @t10 @t2)) % 18.94/19.16 (define @t1149 () (tptp.hAPP @t1148 @t22)) % 18.94/19.16 (define @t1150 () (= @t903 @t216)) % 18.94/19.16 (define @t1151 () (tptp.hAPP @t1143 @t23)) % 18.94/19.16 (define @t1152 () (@list @t47 @t23 @t2 @t38 @t10)) % 18.94/19.16 (define @t1153 () (tptp.hAPP @t1143 @t22)) % 18.94/19.16 (define @t1154 () (tptp.hAPP @t1148 @t23)) % 18.94/19.16 (define @t1155 () (tptp.hAPP (tptp.hAPP @t702 @t1143) @t22)) % 18.94/19.16 (define @t1156 () (@list @t22 @t23 @t150 @t2 @t38 @t10)) % 18.94/19.16 (define @t1157 () (tptp.hAPP @t1133 @t22)) % 18.94/19.16 (define @t1158 () (tptp.hAPP @t605 @t1154)) % 18.94/19.16 (define @t1159 () (tptp.hAPP @t904 @t216)) % 18.94/19.16 (define @t1160 () (tptp.c_COMBK @t10 @t38)) % 18.94/19.16 (define @t1161 () (tptp.hAPP @t1160 @t220)) % 18.94/19.16 (define @t1162 () (tptp.hAPP (tptp.c_Set_Ovimage @t38 @t10 @t1161) @t23)) % 18.94/19.16 (define @t1163 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 @t111 @t111) @t904) @t758)) % 18.94/19.16 (define @t1164 () (tptp.c_COMBB @t111 @t25 @t38)) % 18.94/19.16 (define @t1165 () (@list @t22 @t2 @t38 @t10)) % 18.94/19.16 (define @t1166 () (tptp.hAPP @t1137 @t97)) % 18.94/19.16 (define @t1167 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t1153) @t23))) % 18.94/19.16 (define @t1168 () (tptp.hAPP @t380 @t22)) % 18.94/19.16 (define @t1169 () (tptp.hBOOL (tptp.hAPP @t1168 @t660))) % 18.94/19.16 (define @t1170 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t1171 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1170 @t10)) % 18.94/19.16 (define @t1172 () (tptp.hAPP @t1171 tptp.c_fconj)) % 18.94/19.16 (define @t1173 () (tptp.hAPP @t1172 @t375)) % 18.94/19.16 (define @t1174 () (tptp.c_COMBS @t10 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t1175 () (tptp.hAPP @t1174 @t1173)) % 18.94/19.16 (define @t1176 () (tptp.hAPP @t1175 (tptp.hAPP @t1142 @t47))) % 18.94/19.16 (define @t1177 () (@list @t47 @t2 @t23 @t38 @t10)) % 18.94/19.16 (define @t1178 () (tptp.hAPP @t723 @t22)) % 18.94/19.16 (define @t1179 () (tptp.c_If @t10)) % 18.94/19.16 (define @t1180 () (tptp.tc_fun @t10 @t10)) % 18.94/19.16 (define @t1181 () (tptp.tc_fun @t10 @t1180)) % 18.94/19.16 (define @t1182 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1181 @t38) @t1179)) % 18.94/19.16 (define @t1183 () (tptp.c_COMBC @t38 @t10 @t10)) % 18.94/19.16 (define @t1184 () (tptp.hAPP (tptp.c_Set_Ovimage @t38 @t10 (tptp.hAPP (tptp.hAPP @t1183 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 @t10 @t1180) (tptp.hAPP @t1182 @t1178)) @t220)) @t215)) @t23)) % 18.94/19.16 (define @t1185 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t215) @t23))) % 18.94/19.16 (define @t1186 () (not @t1185)) % 18.94/19.16 (define @t1187 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t10)) % 18.94/19.16 (define @t1188 () (tptp.hAPP @t1187 tptp.c_fNot)) % 18.94/19.16 (define @t1189 () (tptp.c_Enum_Oenum__class_Oenum__ex @t10)) % 18.94/19.16 (define @t1190 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 @t532 @t10) (tptp.hAPP @t729 @t843)) @t952)) % 18.94/19.16 (define @t1191 () (tptp.c_COMBC @t10 @t10 tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t1192 () (tptp.hAPP @t1191 tptp.c_fequal)) % 18.94/19.16 (define @t1193 () (tptp.hAPP @t1192 @t219)) % 18.94/19.16 (define @t1194 () (tptp.hAPP tptp.c_fequal @t47)) % 18.94/19.16 (define @t1195 () (tptp.c_Finite__Set_Ofold__graph @t10 @t38 @t2 @t513 @t23)) % 18.94/19.16 (define @t1196 () (@list @t97 @t47 @t23 @t513 @t2 @t38 @t10)) % 18.94/19.16 (define @t1197 () (tptp.hAPP @t361 @t97)) % 18.94/19.16 (define @t1198 () (tptp.hBOOL (tptp.hAPP @t1197 @t47))) % 18.94/19.16 (define @t1199 () (tptp.hAPP @t361 @t47)) % 18.94/19.16 (define @t1200 () (tptp.hBOOL (tptp.hAPP @t1199 @t97))) % 18.94/19.16 (define @t1201 () (@list @t97 @t47 @t361 @t10)) % 18.94/19.16 (define @t1202 () (tptp.hBOOL (tptp.hAPP @t1189 @t56))) % 18.94/19.16 (define @t1203 () (tptp.hAPP @t49 @t513)) % 18.94/19.16 (define @t1204 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t38 @t2)) % 18.94/19.16 (define @t1205 () (tptp.tc_fun @t38 @t38)) % 18.94/19.16 (define @t1206 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t1205 @t150) @t2) @t1)) % 18.94/19.16 (define @t1207 () (@list @t1 @t150 @t2 @t38 @t10)) % 18.94/19.16 (define @t1208 () (tptp.c_Finite__Set_Ofold__graph @t10 @t38 @t2 @t513 @t749)) % 18.94/19.16 (define @t1209 () (= @t47 @t513)) % 18.94/19.16 (define @t1210 () (tptp.c_Finite__Set_Ofold__graph @t10 @t38 @t2 @t513 @t858)) % 18.94/19.16 (define @t1211 () (tptp.hBOOL (tptp.hAPP @t1195 @t97))) % 18.94/19.16 (define @t1212 () (tptp.c_Groups_Otimes__class_Otimes @t10)) % 18.94/19.16 (define @t1213 () (not @t329)) % 18.94/19.16 (define @t1214 () (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t1212 @t216 @t23)) % 18.94/19.16 (define @t1215 () (tptp.class_Groups_Oab__semigroup__mult @t10)) % 18.94/19.16 (define @t1216 () (tptp.c_Fun_Obij__betw @t10 @t38 @t2 @t600 @t612)) % 18.94/19.16 (define @t1217 () (@var "B_b" $$unsorted)) % 18.94/19.16 (define @t1218 () (tptp.hAPP @t210 @t1217)) % 18.94/19.16 (define @t1219 () (tptp.hBOOL (tptp.hAPP @t1218 @t898))) % 18.94/19.16 (define @t1220 () (@list @t1217)) % 18.94/19.16 (define @t1221 () (tptp.hAPP (tptp.c_Set_Oimage @t150 @t10 @t1) @t23)) % 18.94/19.16 (define @t1222 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t38 @t150 @t2) @t1)) % 18.94/19.16 (define @t1223 () (tptp.hBOOL (tptp.hAPP @t608 (tptp.hAPP @t659 @t1221)))) % 18.94/19.16 (define @t1224 () (tptp.c_Fun_Oinj__on @t150 @t10 @t1 @t23)) % 18.94/19.16 (define @t1225 () (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t1221)) % 18.94/19.16 (define @t1226 () (@list @t47 @t23 @t1 @t150 @t2 @t38 @t10)) % 18.94/19.16 (define @t1227 () (tptp.hAPP (tptp.c_Fun_Ooverride__on @t10 @t38 @t2 @t1 @t23) @t219)) % 18.94/19.16 (define @t1228 () (=> @t252 (= @t1227 @t903))) % 18.94/19.16 (define @t1229 () (=> @t251 (= @t1227 @t1068))) % 18.94/19.16 (define @t1230 () (@list @t1 @t2 @t38 @t23 @t219 @t10)) % 18.94/19.16 (define @t1231 () (@var "B_w" $$unsorted)) % 18.94/19.16 (define @t1232 () (tptp.c_Finite__Set_Ofolding__one @t10 @t2 @t1082)) % 18.94/19.16 (define @t1233 () (@list @t47 @t1082 @t2 @t10)) % 18.94/19.16 (define @t1234 () (@var "V_v_2" $$unsorted)) % 18.94/19.16 (define @t1235 () (tptp.hAPP @t219 (tptp.hAPP @t216 @t1234))) % 18.94/19.16 (define @t1236 () (= @t1235 (tptp.hAPP @t220 @t1234))) % 18.94/19.16 (define @t1237 () (tptp.hAPP (tptp.c_Fun_Ocomp @t150 @t38 @t10 @t219) @t216)) % 18.94/19.16 (define @t1238 () (@list @t1234 @t220 @t216 @t219 @t10 @t38 @t150)) % 18.94/19.16 (define @t1239 () (tptp.c_Groups_Otimes__class_Otimes @t33)) % 18.94/19.16 (define @t1240 () (tptp.hAPP @t1239 @t81)) % 18.94/19.16 (define @t1241 () (tptp.hAPP @t1240 @t81)) % 18.94/19.16 (define @t1242 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t33)) % 18.94/19.16 (define @t1243 () (tptp.hAPP @t1239 @t32)) % 18.94/19.16 (define @t1244 () (tptp.hAPP @t1243 @t32)) % 18.94/19.16 (define @t1245 () (tptp.hAPP @t1240 @t85)) % 18.94/19.16 (define @t1246 () (tptp.hAPP @t1239 @t85)) % 18.94/19.16 (define @t1247 () (tptp.hAPP @t1246 @t82)) % 18.94/19.16 (define @t1248 () (tptp.hAPP @t2 @t48)) % 18.94/19.16 (define @t1249 () (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t10 @t150 @t2) @t1)) % 18.94/19.16 (define @t1250 () (tptp.hAPP @t1249 @t47)) % 18.94/19.16 (define @t1251 () (@var "T_e" $$unsorted)) % 18.94/19.16 (define @t1252 () (tptp.hAPP (tptp.c_Fun_Ocomp @t150 @t38 @t1251 @t2) @t1)) % 18.94/19.16 (define @t1253 () (tptp.c_Fun_Ocomp @t150 @t38 @t10 @t2)) % 18.94/19.16 (define @t1254 () (= @t1237 (tptp.hAPP (tptp.c_Fun_Ocomp @t1251 @t38 @t10 @t220) @t215))) % 18.94/19.16 (define @t1255 () (@var "B_v" $$unsorted)) % 18.94/19.16 (define @t1256 () (@var "V_A_H_H_2" $$unsorted)) % 18.94/19.16 (define @t1257 () (@var "V_f_H_2" $$unsorted)) % 18.94/19.16 (define @t1258 () (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t150 @t10 @t1257) @t2)) % 18.94/19.16 (define @t1259 () (tptp.c_Fun_Obij__betw @t10 @t38 @t2 @t23 @t1118)) % 18.94/19.16 (define @t1260 () (tptp.c_Fun_Ocomp @t38 @t150 @t10 @t1)) % 18.94/19.16 (define @t1261 () (tptp.hAPP @t1260 @t2)) % 18.94/19.16 (define @t1262 () (tptp.c_Fun_Obij__betw @t10 @t38 @t2 @t23 @t22)) % 18.94/19.16 (define @t1263 () (tptp.c_Orderings_Otop__class_Otop @t256)) % 18.94/19.16 (define @t1264 () (tptp.hAPP @t643 @t23)) % 18.94/19.16 (define @t1265 () (tptp.hAPP @t1253 @t1)) % 18.94/19.16 (define @t1266 () (tptp.hAPP (tptp.c_Fun_Ocomp @t150 @t38 @t10 @t1) @t2)) % 18.94/19.16 (define @t1267 () (tptp.c_Fun_Ocomp @t38 @t38 @t38 @t49)) % 18.94/19.16 (define @t1268 () (= (tptp.hAPP @t1267 @t49) @t49)) % 18.94/19.16 (define @t1269 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t10)) % 18.94/19.16 (define @t1270 () (tptp.c_Fun_Ocomp @t10 @t150 @t38 @t1)) % 18.94/19.16 (define @t1271 () (tptp.c_Set_Oimage @t10 @t150 @t2)) % 18.94/19.16 (define @t1272 () (@var "V_B_H_2" $$unsorted)) % 18.94/19.16 (define @t1273 () (tptp.c_Fun_Obij__betw @t10 @t38 @t2 @t22 @t1272)) % 18.94/19.16 (define @t1274 () (= @t1107 @t612)) % 18.94/19.16 (define @t1275 () (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t23)) % 18.94/19.16 (define @t1276 () (@list @t1 @t2 @t38 @t10)) % 18.94/19.16 (define @t1277 () (tptp.hAPP @t1212 @t513)) % 18.94/19.16 (define @t1278 () (tptp.hAPP @t1240 @t409)) % 18.94/19.16 (define @t1279 () (tptp.hAPP @t404 @t1245)) % 18.94/19.16 (define @t1280 () (tptp.class_Rings_Oring @t33)) % 18.94/19.16 (define @t1281 () (tptp.hAPP @t1239 @t408)) % 18.94/19.16 (define @t1282 () (tptp.hAPP @t1281 @t85)) % 18.94/19.16 (define @t1283 () (tptp.hAPP @t1212 @t216)) % 18.94/19.16 (define @t1284 () (tptp.hAPP @t1212 @t219)) % 18.94/19.16 (define @t1285 () (tptp.class_Rings_Oidom @t10)) % 18.94/19.16 (define @t1286 () (tptp.hAPP @t1082 @t912)) % 18.94/19.16 (define @t1287 () (tptp.hAPP @t49 @t1286)) % 18.94/19.16 (define @t1288 () (tptp.hAPP @t1082 @t23)) % 18.94/19.16 (define @t1289 () (= @t912 @t749)) % 18.94/19.16 (define @t1290 () (not @t1289)) % 18.94/19.16 (define @t1291 () (tptp.c_Finite__Set_Ofinite @t10)) % 18.94/19.16 (define @t1292 () (tptp.hBOOL (tptp.hAPP @t1291 @t23))) % 18.94/19.16 (define @t1293 () (@list @t47 @t23 @t1082 @t2 @t10)) % 18.94/19.16 (define @t1294 () (@var "B_a" $$unsorted)) % 18.94/19.16 (define @t1295 () (tptp.hAPP @t210 @t1294)) % 18.94/19.16 (define @t1296 () (tptp.hBOOL (tptp.hAPP @t1295 @t1146))) % 18.94/19.16 (define @t1297 () (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t2 @t1294 @t1146)) % 18.94/19.16 (define @t1298 () (tptp.hAPP @t822 @t1294)) % 18.94/19.16 (define @t1299 () (tptp.hAPP @t1298 @t1146)) % 18.94/19.16 (define @t1300 () (tptp.hAPP @t822 @t1099)) % 18.94/19.16 (define @t1301 () (tptp.hAPP @t1300 @t1098)) % 18.94/19.16 (define @t1302 () (@list @t1294 @t1146)) % 18.94/19.16 (define @t1303 () (tptp.hAPP @t847 @t271)) % 18.94/19.16 (define @t1304 () (tptp.hBOOL (tptp.hAPP @t1291 @t854))) % 18.94/19.16 (define @t1305 () (@list @t219 @t23 @t10)) % 18.94/19.16 (define @t1306 () (tptp.c_Set_Oimage @t10 @t38 @t1104)) % 18.94/19.16 (define @t1307 () (tptp.c_Finite__Set_Ofinite @t38)) % 18.94/19.16 (define @t1308 () (tptp.hBOOL (tptp.hAPP @t1291 @t1082))) % 18.94/19.16 (define @t1309 () (@list @t1104 @t38 @t1082 @t10)) % 18.94/19.16 (define @t1310 () (tptp.hBOOL (tptp.hAPP @t1291 @t9))) % 18.94/19.16 (define @t1311 () (@list @t9 @t1082 @t10)) % 18.94/19.16 (define @t1312 () (tptp.hBOOL (tptp.hAPP @t1291 @t845))) % 18.94/19.16 (define @t1313 () (tptp.hBOOL (tptp.hAPP @t1291 @t3))) % 18.94/19.16 (define @t1314 () (@list @t190 @t10)) % 18.94/19.16 (define @t1315 () (tptp.hBOOL (tptp.hAPP @t1307 @t177))) % 18.94/19.16 (define @t1316 () (tptp.hBOOL (tptp.hAPP @t317 @t178))) % 18.94/19.16 (define @t1317 () (tptp.c_Finite__Set_Ofinite @t25)) % 18.94/19.16 (define @t1318 () (tptp.class_Finite__Set_Ofinite @t10)) % 18.94/19.16 (define @t1319 () (tptp.hBOOL (tptp.hAPP @t1317 @t23))) % 18.94/19.16 (define @t1320 () (tptp.hBOOL (tptp.hAPP @t1291 @t240))) % 18.94/19.16 (define @t1321 () (tptp.tc_prod @t10 @t38)) % 18.94/19.16 (define @t1322 () (tptp.tc_fun @t1321 tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t1323 () (tptp.c_Orderings_Otop__class_Otop @t1322)) % 18.94/19.16 (define @t1324 () (tptp.c_Finite__Set_Ofinite @t1321)) % 18.94/19.16 (define @t1325 () (tptp.hBOOL (tptp.hAPP @t1307 @t612))) % 18.94/19.16 (define @t1326 () (tptp.hBOOL (tptp.hAPP @t1291 @t600))) % 18.94/19.16 (define @t1327 () (@list @t38 @t10)) % 18.94/19.16 (define @t1328 () (tptp.tc_sum @t10 @t38)) % 18.94/19.16 (define @t1329 () (tptp.tc_fun @t1328 tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t1330 () (tptp.c_Orderings_Otop__class_Otop @t1329)) % 18.94/19.16 (define @t1331 () (tptp.c_Finite__Set_Ofinite @t1328)) % 18.94/19.16 (define @t1332 () (tptp.tc_Option_Ooption @t10)) % 18.94/19.16 (define @t1333 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t42 tptp.tc_HOL_Obool))) % 18.94/19.16 (define @t1334 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t42) @t1333))) % 18.94/19.16 (define @t1335 () (tptp.hBOOL (tptp.hAPP @t1291 @t22))) % 18.94/19.16 (define @t1336 () (tptp.hBOOL (tptp.hAPP @t1291 (tptp.hAPP (tptp.hAPP @t440 @t1082) @t9)))) % 18.94/19.16 (define @t1337 () (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t1307 @t310))))) % 18.94/19.16 (define @t1338 () (tptp.hBOOL (tptp.hAPP @t1307 @t281))) % 18.94/19.16 (define @t1339 () (@list @t22 @t38 @t23 @t10)) % 18.94/19.16 (define @t1340 () (tptp.hBOOL (tptp.hAPP @t1307 @t22))) % 18.94/19.16 (define @t1341 () (tptp.hBOOL (tptp.hAPP @t1195 @t47))) % 18.94/19.16 (define @t1342 () (tptp.hBOOL (tptp.hAPP @t1307 @t23))) % 18.94/19.16 (define @t1343 () (tptp.c_Fun_Oinj__on @t38 @t10 @t2 @t23)) % 18.94/19.16 (define @t1344 () (tptp.c_Set_Oimage @t38 @t10 @t1)) % 18.94/19.16 (define @t1345 () (tptp.class_Rings_Olinordered__idom @t33)) % 18.94/19.16 (define @t1346 () (tptp.c_Fun_Oinj__on @t10 @t10 @t2 @t23)) % 18.94/19.16 (define @t1347 () (tptp.c_Set_Oimage @t10 @t10 @t2)) % 18.94/19.16 (define @t1348 () (tptp.hAPP @t1347 @t23)) % 18.94/19.16 (define @t1349 () (tptp.c_Fun_Oinj__on @t10 @t10 @t2 @t600)) % 18.94/19.16 (define @t1350 () (= (tptp.hAPP @t1347 @t600) @t600)) % 18.94/19.16 (define @t1351 () (tptp.hBOOL (tptp.hAPP @t1307 @t1082))) % 18.94/19.16 (define @t1352 () (tptp.hBOOL (tptp.hAPP @t1291 (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t38 @t1104) @t1082)))) % 18.94/19.16 (define @t1353 () (@list @t1082 @t1104 @t38 @t10)) % 18.94/19.16 (define @t1354 () (tptp.hAPP @t49 @t1288)) % 18.94/19.16 (define @t1355 () (tptp.hAPP @t1082 @t858)) % 18.94/19.16 (define @t1356 () (=> @t756 (= @t1355 @t1354))) % 18.94/19.16 (define @t1357 () (tptp.hAPP @t1082 @t22)) % 18.94/19.16 (define @t1358 () (tptp.hAPP (tptp.hAPP @t2 @t1288) @t1357)) % 18.94/19.16 (define @t1359 () (tptp.hAPP @t1082 @t603)) % 18.94/19.16 (define @t1360 () (tptp.hAPP @t1082 @t458)) % 18.94/19.16 (define @t1361 () (not @t765)) % 18.94/19.16 (define @t1362 () (@list @t22 @t23 @t1082 @t2 @t10)) % 18.94/19.16 (define @t1363 () (= @t1360 @t1358)) % 18.94/19.16 (define @t1364 () (not @t762)) % 18.94/19.16 (define @t1365 () (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t38 @t38 @t1286) @t49)) % 18.94/19.16 (define @t1366 () (tptp.c_Finite__Set_Ofolding @t10 @t38 @t2 @t1082)) % 18.94/19.16 (define @t1367 () (@list @t47 @t23 @t1082 @t2 @t38 @t10)) % 18.94/19.16 (define @t1368 () (tptp.hAPP @t904 @t47)) % 18.94/19.16 (define @t1369 () (tptp.hAPP @t1248 (tptp.hAPP @t1082 (tptp.hAPP @t828 (tptp.hAPP @t1368 @t758))))) % 18.94/19.16 (define @t1370 () (tptp.c_Finite__Set_Ofolding__image__simple @t10 @t38 @t2 @t513 @t1 @t1082)) % 18.94/19.16 (define @t1371 () (@list @t47 @t23 @t1082 @t1 @t513 @t2 @t38 @t10)) % 18.94/19.16 (define @t1372 () (tptp.hAPP @t1082 @t1)) % 18.94/19.16 (define @t1373 () (tptp.c_Finite__Set_Ofolding__image @t10 @t38 @t2 @t513 @t1082)) % 18.94/19.16 (define @t1374 () (tptp.c_Fun_Ocomp @t38 @t38 @t38 @t1288)) % 18.94/19.16 (define @t1375 () (tptp.hAPP @t1374 @t1357)) % 18.94/19.16 (define @t1376 () (= @t1360 @t1375)) % 18.94/19.16 (define @t1377 () (@list @t22 @t23 @t1082 @t2 @t38 @t10)) % 18.94/19.16 (define @t1378 () (tptp.hAPP @t1082 @t541)) % 18.94/19.16 (define @t1379 () (= @t1378 @t1358)) % 18.94/19.16 (define @t1380 () (@list @t22 @t23 @t1082 @t1 @t513 @t2 @t38 @t10)) % 18.94/19.16 (define @t1381 () (tptp.hAPP @t1082 (tptp.hAPP @t1368 @t23))) % 18.94/19.16 (define @t1382 () (tptp.hAPP @t630 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t912))) % 18.94/19.16 (define @t1383 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t23)) % 18.94/19.16 (define @t1384 () (@var "T_g" $$unsorted)) % 18.94/19.16 (define @t1385 () (@var "T_f" $$unsorted)) % 18.94/19.16 (define @t1386 () (@var "V_fa_2" $$unsorted)) % 18.94/19.16 (define @t1387 () (tptp.hAPP @t1267 @t123)) % 18.94/19.16 (define @t1388 () (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t38 @t38 @t123) @t49)) % 18.94/19.16 (define @t1389 () (tptp.c_Fun_Ocomp @t38 @t38 @t150 @t123)) % 18.94/19.16 (define @t1390 () (tptp.c_Fun_Ocomp @t38 @t38 @t150 @t49)) % 18.94/19.16 (define @t1391 () (tptp.hAPP @t1390 @t1)) % 18.94/19.16 (define @t1392 () (tptp.hAPP (tptp.hAPP @t1082 @t1104) @t23)) % 18.94/19.16 (define @t1393 () (tptp.hAPP @t1372 @t23)) % 18.94/19.16 (define @t1394 () (tptp.c_COMBB @t10 @t1180 @t38)) % 18.94/19.16 (define @t1395 () (tptp.hAPP (tptp.hAPP @t1394 @t2) @t1)) % 18.94/19.16 (define @t1396 () (tptp.c_COMBS @t38 @t10 @t10)) % 18.94/19.16 (define @t1397 () (@list @t1104 @t1 @t23 @t1082 @t513 @t2 @t38 @t10)) % 18.94/19.16 (define @t1398 () (tptp.c_Fun_Ocomp @t38 @t38 @t150 @t1357)) % 18.94/19.16 (define @t1399 () (tptp.c_Fun_Ocomp @t38 @t38 @t150 @t1288)) % 18.94/19.16 (define @t1400 () (tptp.hAPP @t1399 @t1)) % 18.94/19.16 (define @t1401 () (tptp.hAPP @t1374 @t49)) % 18.94/19.16 (define @t1402 () (tptp.hAPP @t630 @t1383)) % 18.94/19.16 (define @t1403 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t858)) % 18.94/19.16 (define @t1404 () (=> @t756 (= @t1403 @t1402))) % 18.94/19.16 (define @t1405 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t22)) % 18.94/19.16 (define @t1406 () (tptp.hAPP (tptp.hAPP @t616 @t1383) @t1405)) % 18.94/19.16 (define @t1407 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t458)) % 18.94/19.16 (define @t1408 () (= @t1407 @t1406)) % 18.94/19.16 (define @t1409 () (tptp.hAPP @t1248 @t1288)) % 18.94/19.16 (define @t1410 () (= @t1381 @t1409)) % 18.94/19.16 (define @t1411 () (= @t1355 @t1401)) % 18.94/19.16 (define @t1412 () (tptp.hAPP @t1125 (tptp.hAPP (tptp.hAPP @t822 @t195) @t749))) % 18.94/19.16 (define @t1413 () (tptp.hAPP (tptp.hAPP @t616 @t3) @t195)) % 18.94/19.16 (define @t1414 () (@var "B_M" $$unsorted)) % 18.94/19.16 (define @t1415 () (tptp.hAPP @t517 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t912))) % 18.94/19.16 (define @t1416 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t23)) % 18.94/19.16 (define @t1417 () (tptp.c_Finite__Set_Ofolding__idem @t10 @t38 @t2 @t1082)) % 18.94/19.16 (define @t1418 () (tptp.hAPP @t5 @t195)) % 18.94/19.16 (define @t1419 () (@list @t23 @t1082 @t2 @t10)) % 18.94/19.16 (define @t1420 () (tptp.hAPP @t517 @t1416)) % 18.94/19.16 (define @t1421 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t858)) % 18.94/19.16 (define @t1422 () (=> @t756 (= @t1421 @t1420))) % 18.94/19.16 (define @t1423 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t22)) % 18.94/19.16 (define @t1424 () (tptp.hAPP (tptp.hAPP @t466 @t1416) @t1423)) % 18.94/19.16 (define @t1425 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t458)) % 18.94/19.16 (define @t1426 () (= @t1425 @t1424)) % 18.94/19.16 (define @t1427 () (tptp.hAPP (tptp.hAPP @t466 @t3) @t195)) % 18.94/19.16 (define @t1428 () (@var "V_N_2" $$unsorted)) % 18.94/19.16 (define @t1429 () (tptp.c_Set_Oimage @t10 @t10 @t1104)) % 18.94/19.16 (define @t1430 () (tptp.hAPP @t1429 @t1428)) % 18.94/19.16 (define @t1431 () (not (= @t1428 @t749))) % 18.94/19.16 (define @t1432 () (tptp.hBOOL (tptp.hAPP @t1291 @t1428))) % 18.94/19.16 (define @t1433 () (tptp.hAPP @t1104 @t195)) % 18.94/19.16 (define @t1434 () (tptp.hAPP @t1104 @t3)) % 18.94/19.16 (define @t1435 () (@list @t1428 @t1104 @t10)) % 18.94/19.16 (define @t1436 () (tptp.hBOOL (tptp.hAPP @t56 @t749))) % 18.94/19.16 (define @t1437 () (tptp.c_Finite__Set_Ofolding__one__idem @t10 @t2 @t1082)) % 18.94/19.16 (define @t1438 () (tptp.hBOOL (tptp.hAPP @t56 @t1082))) % 18.94/19.16 (define @t1439 () (@var "B_F" $$unsorted)) % 18.94/19.16 (define @t1440 () (tptp.hBOOL (tptp.hAPP @t56 @t1439))) % 18.94/19.16 (define @t1441 () (tptp.hBOOL (tptp.hAPP @t1295 @t23))) % 18.94/19.16 (define @t1442 () (tptp.hBOOL (tptp.hAPP @t1291 @t1439))) % 18.94/19.16 (define @t1443 () (= (tptp.hAPP (tptp.hAPP @t2 @t1357) @t1288) @t1288)) % 18.94/19.16 (define @t1444 () (= (tptp.hAPP @t49 @t47) @t47)) % 18.94/19.16 (define @t1445 () (@list @t2 @t38 @t23 @t10)) % 18.94/19.16 (define @t1446 () (tptp.c_Finite__Set_Ofold1 @t10 @t1212)) % 18.94/19.16 (define @t1447 () (tptp.hAPP @t1446 @t23)) % 18.94/19.16 (define @t1448 () (= (tptp.hAPP @t1446 @t458) (tptp.hAPP (tptp.hAPP @t1212 @t1447) (tptp.hAPP @t1446 @t22)))) % 18.94/19.16 (define @t1449 () (tptp.hAPP @t1212 @t47)) % 18.94/19.16 (define @t1450 () (= (tptp.hAPP @t1446 @t858) (tptp.hAPP @t1449 @t1447))) % 18.94/19.16 (define @t1451 () (tptp.c_Groups_Otimes__class_Otimes @t150)) % 18.94/19.16 (define @t1452 () (tptp.c_Finite__Set_Ofold__image @t150 @t10 @t1451)) % 18.94/19.16 (define @t1453 () (tptp.c_Finite__Set_Ofold__image @t150 @t38 @t1451)) % 18.94/19.16 (define @t1454 () (tptp.hAPP @t1453 @t1)) % 18.94/19.16 (define @t1455 () (@list @t1294)) % 18.94/19.16 (define @t1456 () (forall @t1455 (=> @t1441 (tptp.hBOOL (tptp.hAPP @t1307 (tptp.hAPP @t22 @t1294)))))) % 18.94/19.16 (define @t1457 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t10 @t38 @t2) @t1)) % 18.94/19.16 (define @t1458 () (tptp.hAPP @t1457 @t513)) % 18.94/19.16 (define @t1459 () (tptp.c_Finite__Set_Ofold1 @t10 @t2)) % 18.94/19.16 (define @t1460 () (tptp.hAPP @t1458 @t23)) % 18.94/19.16 (define @t1461 () (=> @t1342 (= @t1393 @t1460))) % 18.94/19.16 (define @t1462 () (@list @t1 @t23 @t1082 @t513 @t2 @t38 @t10)) % 18.94/19.16 (define @t1463 () (tptp.hAPP @t1459 @t23)) % 18.94/19.16 (define @t1464 () (=> @t1292 (= @t1288 @t1463))) % 18.94/19.16 (define @t1465 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t616) @t23)) % 18.94/19.16 (define @t1466 () (tptp.c_Groups_Otimes__class_Otimes @t38)) % 18.94/19.16 (define @t1467 () (tptp.c_Finite__Set_Ofold__image @t38 @t10 @t1466)) % 18.94/19.16 (define @t1468 () (tptp.hAPP @t1467 @t1)) % 18.94/19.16 (define @t1469 () (tptp.hAPP @t1468 @t513)) % 18.94/19.16 (define @t1470 () (tptp.hAPP @t1469 @t23)) % 18.94/19.16 (define @t1471 () (tptp.class_Groups_Oab__semigroup__mult @t38)) % 18.94/19.16 (define @t1472 () (tptp.hBOOL (tptp.hAPP @t100 @t3))) % 18.94/19.16 (define @t1473 () (forall @t7 (=> @t326 @t1472))) % 18.94/19.16 (define @t1474 () (=> (not @t1342) (= @t1393 @t513))) % 18.94/19.16 (define @t1475 () (tptp.c_Big__Operators_Ocomm__monoid__big @t10 @t38 @t2 @t513 @t1082)) % 18.94/19.16 (define @t1476 () (tptp.hAPP (tptp.hAPP @t1212 @t3) @t195)) % 18.94/19.16 (define @t1477 () (tptp.c_Groups_Oone__class_Oone @t38)) % 18.94/19.16 (define @t1478 () (tptp.hAPP @t1468 @t1477)) % 18.94/19.16 (define @t1479 () (tptp.hAPP @t1478 @t23)) % 18.94/19.16 (define @t1480 () (tptp.hAPP @t1466 @t1479)) % 18.94/19.16 (define @t1481 () (tptp.hAPP @t1480 (tptp.hAPP @t1478 @t22))) % 18.94/19.16 (define @t1482 () (tptp.hAPP @t1478 @t458)) % 18.94/19.16 (define @t1483 () (tptp.class_Groups_Ocomm__monoid__mult @t38)) % 18.94/19.16 (define @t1484 () (@list @t1 @t22 @t23 @t10 @t38)) % 18.94/19.16 (define @t1485 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t38)) % 18.94/19.16 (define @t1486 () (tptp.hAPP @t1485 @t2)) % 18.94/19.16 (define @t1487 () (tptp.hAPP @t1486 @t23)) % 18.94/19.16 (define @t1488 () (tptp.hAPP @t1486 @t853)) % 18.94/19.16 (define @t1489 () (tptp.c_Groups_Ominus__class_Ominus @t38)) % 18.94/19.16 (define @t1490 () (tptp.hAPP @t1489 @t1487)) % 18.94/19.16 (define @t1491 () (=> @t251 (= @t1488 (tptp.hAPP @t1490 @t903)))) % 18.94/19.16 (define @t1492 () (tptp.class_Groups_Oab__group__add @t38)) % 18.94/19.16 (define @t1493 () (@list @t2 @t219 @t23 @t10 @t38)) % 18.94/19.16 (define @t1494 () (tptp.c_Groups_Oone__class_Oone @t10)) % 18.94/19.16 (define @t1495 () (= @t47 @t1494)) % 18.94/19.16 (define @t1496 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t38 @t10)) % 18.94/19.16 (define @t1497 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t150 @t10)) % 18.94/19.16 (define @t1498 () (tptp.c_COMBB @t156 (tptp.tc_fun @t256 @t10) @t38)) % 18.94/19.16 (define @t1499 () (tptp.hAPP @t1498 @t1497)) % 18.94/19.16 (define @t1500 () (tptp.c_COMBC @t38 @t256 @t10)) % 18.94/19.16 (define @t1501 () (tptp.hAPP (tptp.hAPP @t1496 (tptp.hAPP (tptp.hAPP @t1500 (tptp.hAPP @t1499 @t2)) @t22)) @t23)) % 18.94/19.16 (define @t1502 () (tptp.class_Groups_Ocomm__monoid__add @t10)) % 18.94/19.16 (define @t1503 () (@list @t23 @t22 @t2 @t150 @t38 @t10)) % 18.94/19.16 (define @t1504 () (@var "V_p_2" $$unsorted)) % 18.94/19.16 (define @t1505 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t10)) % 18.94/19.16 (define @t1506 () (tptp.hAPP @t1505 @t2)) % 18.94/19.16 (define @t1507 () (tptp.hAPP @t1506 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t831) @t1504))) % 18.94/19.16 (define @t1508 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t561)) % 18.94/19.16 (define @t1509 () (tptp.hAPP @t1508 @t831)) % 18.94/19.16 (define @t1510 () (tptp.hAPP @t1506 @t1509)) % 18.94/19.16 (define @t1511 () (tptp.hAPP @t1506 (tptp.hAPP @t1508 @t1504))) % 18.94/19.16 (define @t1512 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1513 () (tptp.hAPP @t1512 @t831)) % 18.94/19.16 (define @t1514 () (tptp.hBOOL (tptp.hAPP @t1513 @t1504))) % 18.94/19.16 (define @t1515 () (tptp.hAPP @t1512 @t561)) % 18.94/19.16 (define @t1516 () (tptp.hBOOL (tptp.hAPP @t1515 @t831))) % 18.94/19.16 (define @t1517 () (@list @t2 @t1504 @t831 @t561 @t10)) % 18.94/19.16 (define @t1518 () (tptp.c_Groups_Oone__class_Oone @t33)) % 18.94/19.16 (define @t1519 () (= (tptp.hAPP (tptp.hAPP @t1239 @t1518) @t81) @t81)) % 18.94/19.16 (define @t1520 () (tptp.class_Groups_Omonoid__mult @t33)) % 18.94/19.16 (define @t1521 () (tptp.class_Groups_Ocomm__monoid__mult @t33)) % 18.94/19.16 (define @t1522 () (= (tptp.hAPP @t1240 @t1518) @t81)) % 18.94/19.16 (define @t1523 () (tptp.hAPP @t1212 @t124)) % 18.94/19.16 (define @t1524 () (tptp.c_COMBB @t10 @t10 @t38)) % 18.94/19.16 (define @t1525 () (tptp.hAPP @t1496 @t2)) % 18.94/19.16 (define @t1526 () (tptp.hAPP @t1525 @t23)) % 18.94/19.16 (define @t1527 () (tptp.class_Rings_Osemiring__0 @t10)) % 18.94/19.16 (define @t1528 () (tptp.hAPP (tptp.hAPP @t1394 @t1212) @t2)) % 18.94/19.16 (define @t1529 () (tptp.hAPP @t1183 @t1528)) % 18.94/19.16 (define @t1530 () (tptp.hAPP @t1212 @t1526)) % 18.94/19.16 (define @t1531 () (@list @t124 @t23 @t2 @t38 @t10)) % 18.94/19.16 (define @t1532 () (tptp.hAPP @t1496 @t1)) % 18.94/19.16 (define @t1533 () (tptp.hAPP @t1532 @t23)) % 18.94/19.16 (define @t1534 () (tptp.hAPP (tptp.hAPP @t1396 (tptp.hAPP (tptp.hAPP @t1394 @t865) @t2)) @t1)) % 18.94/19.16 (define @t1535 () (@list @t23 @t1 @t2 @t38 @t10)) % 18.94/19.16 (define @t1536 () (@var "V_n" $$unsorted)) % 18.94/19.16 (define @t1537 () (@var "V_m" $$unsorted)) % 18.94/19.16 (define @t1538 () (tptp.hAPP @t986 @t1518)) % 18.94/19.16 (define @t1539 () (tptp.class_Rings_Olinordered__semidom @t33)) % 18.94/19.16 (define @t1540 () (@list @t1536 @t1537 @t33)) % 18.94/19.16 (define @t1541 () (tptp.hAPP @t390 @t1494)) % 18.94/19.16 (define @t1542 () (tptp.hAPP @t1449 @t47)) % 18.94/19.16 (define @t1543 () (tptp.class_Rings_Oring__1__no__zero__divisors @t10)) % 18.94/19.16 (define @t1544 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1545 () (tptp.hAPP @t1544 @t2)) % 18.94/19.16 (define @t1546 () (tptp.hAPP @t1545 @t22)) % 18.94/19.16 (define @t1547 () (tptp.hAPP @t1545 @t23)) % 18.94/19.16 (define @t1548 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1549 () (tptp.hAPP @t1548 @t1547)) % 18.94/19.16 (define @t1550 () (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t150 @t10 @t1104) @t2)) % 18.94/19.16 (define @t1551 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t150)) % 18.94/19.16 (define @t1552 () (tptp.hAPP @t1551 @t1550)) % 18.94/19.16 (define @t1553 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t38 @t150)) % 18.94/19.16 (define @t1554 () (tptp.hAPP @t1553 @t1104)) % 18.94/19.16 (define @t1555 () (tptp.class_Groups_Ocomm__monoid__add @t150)) % 18.94/19.16 (define @t1556 () (@list @t1104 @t22 @t2 @t38 @t10 @t150)) % 18.94/19.16 (define @t1557 () (tptp.hAPP @t1467 @t1104)) % 18.94/19.16 (define @t1558 () (tptp.c_COMBB @t38 @t1205 @t10)) % 18.94/19.16 (define @t1559 () (tptp.c_COMBS @t10 @t38 @t38)) % 18.94/19.16 (define @t1560 () (tptp.hAPP (tptp.hAPP @t1559 (tptp.hAPP (tptp.hAPP @t1558 @t1466) @t1)) @t1104)) % 18.94/19.16 (define @t1561 () (@list @t1104 @t1 @t23 @t10 @t38)) % 18.94/19.16 (define @t1562 () (tptp.hAPP @t1545 @t853)) % 18.94/19.16 (define @t1563 () (tptp.hAPP @t1486 @t22)) % 18.94/19.16 (define @t1564 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t38 @t10 @t1) @t1104)) % 18.94/19.16 (define @t1565 () (tptp.hAPP @t1429 @t23)) % 18.94/19.16 (define @t1566 () (tptp.hAPP @t1485 @t1)) % 18.94/19.16 (define @t1567 () (tptp.c_Fun_Oinj__on @t10 @t10 @t1104 @t23)) % 18.94/19.16 (define @t1568 () (tptp.class_Groups_Ocomm__monoid__add @t38)) % 18.94/19.16 (define @t1569 () (@list @t1 @t1104 @t23 @t10 @t38)) % 18.94/19.16 (define @t1570 () (tptp.hAPP @t404 @t1518)) % 18.94/19.16 (define @t1571 () (tptp.class_Rings_Ocomm__ring__1 @t33)) % 18.94/19.16 (define @t1572 () (@var "V_T_2" $$unsorted)) % 18.94/19.16 (define @t1573 () (tptp.hAPP (tptp.hAPP @t1467 @t2) @t1477)) % 18.94/19.16 (define @t1574 () (tptp.hAPP @t1573 @t348)) % 18.94/19.16 (define @t1575 () (tptp.hAPP (tptp.hAPP @t440 @t348) @t1572)) % 18.94/19.16 (define @t1576 () (= @t5 @t1477)) % 18.94/19.16 (define @t1577 () (tptp.hBOOL (tptp.hAPP @t317 (tptp.hAPP (tptp.hAPP @t601 @t348) @t1572)))) % 18.94/19.16 (define @t1578 () (forall @t7 (=> @t1577 @t1576))) % 18.94/19.16 (define @t1579 () (tptp.hBOOL (tptp.hAPP @t1291 @t1572))) % 18.94/19.16 (define @t1580 () (tptp.hBOOL (tptp.hAPP @t1291 @t348))) % 18.94/19.16 (define @t1581 () (@list @t2 @t1572 @t348 @t10 @t38)) % 18.94/19.16 (define @t1582 () (tptp.class_Rings_Ocomm__semiring__1 @t33)) % 18.94/19.16 (define @t1583 () (tptp.hAPP @t1566 @t23)) % 18.94/19.16 (define @t1584 () (@list @t1 @t2 @t23 @t10 @t38)) % 18.94/19.16 (define @t1585 () (tptp.c_Groups_Oplus__class_Oplus @t38)) % 18.94/19.16 (define @t1586 () (tptp.hAPP @t1585 @t48)) % 18.94/19.16 (define @t1587 () (tptp.hAPP @t1586 (tptp.hAPP @t1566 @t912))) % 18.94/19.16 (define @t1588 () (@list @t1 @t47 @t23 @t10 @t38)) % 18.94/19.16 (define @t1589 () (tptp.hAPP @t1585 @t903)) % 18.94/19.16 (define @t1590 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t395)) % 18.94/19.16 (define @t1591 () (tptp.hAPP @t1590 @t192)) % 18.94/19.16 (define @t1592 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1593 () (@list @t192 @t395)) % 18.94/19.16 (define @t1594 () (tptp.c_Groups_Oplus__class_Oplus @t10)) % 18.94/19.16 (define @t1595 () (tptp.hAPP @t1594 @t1510)) % 18.94/19.16 (define @t1596 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1597 () (tptp.hAPP @t1596 @t831)) % 18.94/19.16 (define @t1598 () (tptp.hAPP @t1597 @t1504)) % 18.94/19.16 (define @t1599 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1600 () (tptp.hAPP @t1597 @t1599)) % 18.94/19.16 (define @t1601 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t561 @t831)) % 18.94/19.16 (define @t1602 () (tptp.hAPP @t1506 @t1601)) % 18.94/19.16 (define @t1603 () (tptp.hAPP @t1594 @t1602)) % 18.94/19.16 (define @t1604 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1605 () (tptp.hAPP @t1604 @t1596)) % 18.94/19.16 (define @t1606 () (tptp.hAPP @t1605 @t118)) % 18.94/19.16 (define @t1607 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Nat_Onat) @t2)) % 18.94/19.16 (define @t1608 () (tptp.hAPP @t1505 (tptp.hAPP @t1607 @t1606))) % 18.94/19.16 (define @t1609 () (tptp.hAPP @t1597 @t118)) % 18.94/19.16 (define @t1610 () (tptp.hAPP @t1596 @t561)) % 18.94/19.16 (define @t1611 () (tptp.hAPP @t1610 @t118)) % 18.94/19.16 (define @t1612 () (@list @t831 @t118 @t561 @t2 @t10)) % 18.94/19.16 (define @t1613 () (tptp.hAPP @t1505 @t56)) % 18.94/19.16 (define @t1614 () (@var "B_m" $$unsorted)) % 18.94/19.16 (define @t1615 () (tptp.c_member tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1616 () (tptp.hAPP @t1615 @t3)) % 18.94/19.16 (define @t1617 () (tptp.hBOOL (tptp.hAPP @t1616 @t1428))) % 18.94/19.16 (define @t1618 () (@list @t1614)) % 18.94/19.16 (define @t1619 () (tptp.hBOOL (tptp.hAPP @t1592 @t1428))) % 18.94/19.16 (define @t1620 () (@list @t1428)) % 18.94/19.16 (define @t1621 () (= @t97 @t513)) % 18.94/19.16 (define @t1622 () (@var "V_w_2" $$unsorted)) % 18.94/19.16 (define @t1623 () (tptp.hAPP @t1212 @t1622)) % 18.94/19.16 (define @t1624 () (tptp.hAPP @t1449 @t513)) % 18.94/19.16 (define @t1625 () (tptp.hAPP @t1623 @t97)) % 18.94/19.16 (define @t1626 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t10)) % 18.94/19.16 (define @t1627 () (tptp.c_Groups_Oplus__class_Oplus @t33)) % 18.94/19.16 (define @t1628 () (tptp.hAPP @t1627 @t81)) % 18.94/19.16 (define @t1629 () (tptp.hAPP @t1628 @t85)) % 18.94/19.16 (define @t1630 () (tptp.hAPP @t1239 @t1629)) % 18.94/19.16 (define @t1631 () (tptp.hAPP @t1240 @t1537)) % 18.94/19.16 (define @t1632 () (tptp.hAPP @t1627 @t1631)) % 18.94/19.16 (define @t1633 () (tptp.hAPP @t1240 @t82)) % 18.94/19.16 (define @t1634 () (= (tptp.hAPP @t1630 @t82) (tptp.hAPP (tptp.hAPP @t1627 @t1633) @t1247))) % 18.94/19.16 (define @t1635 () (tptp.hAPP @t1283 @t220)) % 18.94/19.16 (define @t1636 () (tptp.hAPP @t1284 @t215)) % 18.94/19.16 (define @t1637 () (tptp.hAPP @t1284 @t220)) % 18.94/19.16 (define @t1638 () (tptp.hAPP @t1243 @t70)) % 18.94/19.16 (define @t1639 () (tptp.hAPP @t1243 @t64)) % 18.94/19.16 (define @t1640 () (tptp.hAPP @t1627 @t64)) % 18.94/19.16 (define @t1641 () (tptp.hAPP @t1640 @t70)) % 18.94/19.16 (define @t1642 () (tptp.hAPP @t1596 @t1135)) % 18.94/19.16 (define @t1643 () (tptp.hAPP @t1642 @t118)) % 18.94/19.16 (define @t1644 () (tptp.hAPP @t1596 @t207)) % 18.94/19.16 (define @t1645 () (tptp.hAPP @t1644 @t118)) % 18.94/19.16 (define @t1646 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t207)) % 18.94/19.16 (define @t1647 () (tptp.hAPP @t1646 @t1135)) % 18.94/19.16 (define @t1648 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1606)) % 18.94/19.16 (define @t1649 () (@list @t1135 @t207 @t118)) % 18.94/19.16 (define @t1650 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t1651 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1650)) % 18.94/19.16 (define @t1652 () (tptp.hAPP @t1512 @t207)) % 18.94/19.16 (define @t1653 () (tptp.hBOOL (tptp.hAPP @t1652 @t1135))) % 18.94/19.16 (define @t1654 () (@list @t118 @t1135 @t207)) % 18.94/19.16 (define @t1655 () (tptp.hAPP @t1627 @t82)) % 18.94/19.16 (define @t1656 () (tptp.hAPP @t1655 @t81)) % 18.94/19.16 (define @t1657 () (tptp.hAPP @t1627 @t85)) % 18.94/19.16 (define @t1658 () (tptp.hAPP @t1657 @t81)) % 18.94/19.16 (define @t1659 () (tptp.class_Groups_Ocancel__semigroup__add @t33)) % 18.94/19.16 (define @t1660 () (tptp.hAPP @t1628 @t82)) % 18.94/19.16 (define @t1661 () (=> (= @t1629 @t1660) @t86)) % 18.94/19.16 (define @t1662 () (tptp.hAPP @t1594 @t220)) % 18.94/19.16 (define @t1663 () (tptp.hAPP @t1662 @t219)) % 18.94/19.16 (define @t1664 () (tptp.hAPP @t1594 @t216)) % 18.94/19.16 (define @t1665 () (tptp.hAPP @t1664 @t219)) % 18.94/19.16 (define @t1666 () (tptp.class_Groups_Ocancel__semigroup__add @t10)) % 18.94/19.16 (define @t1667 () (tptp.hAPP @t1594 @t219)) % 18.94/19.16 (define @t1668 () (tptp.hAPP @t1667 @t220)) % 18.94/19.16 (define @t1669 () (tptp.hAPP @t1667 @t216)) % 18.94/19.16 (define @t1670 () (tptp.hAPP @t1657 @t82)) % 18.94/19.16 (define @t1671 () (tptp.hAPP @t1627 @t1629)) % 18.94/19.16 (define @t1672 () (tptp.hAPP @t1671 @t82)) % 18.94/19.16 (define @t1673 () (= @t1672 (tptp.hAPP @t1628 @t1670))) % 18.94/19.16 (define @t1674 () (tptp.hAPP @t1655 @t504)) % 18.94/19.16 (define @t1675 () (tptp.hAPP @t1628 @t1674)) % 18.94/19.16 (define @t1676 () (@list @t504 @t82 @t81 @t33)) % 18.94/19.16 (define @t1677 () (tptp.hAPP @t1627 @t1660)) % 18.94/19.16 (define @t1678 () (tptp.hAPP @t1657 @t504)) % 18.94/19.16 (define @t1679 () (@list @t504 @t82 @t85 @t81 @t33)) % 18.94/19.16 (define @t1680 () (tptp.hAPP @t1655 @t85)) % 18.94/19.16 (define @t1681 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t1656) @t1680))) % 18.94/19.16 (define @t1682 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t33)) % 18.94/19.16 (define @t1683 () (@list @t85 @t81 @t82 @t33)) % 18.94/19.16 (define @t1684 () (tptp.hAPP @t34 @t1660)) % 18.94/19.16 (define @t1685 () (tptp.hBOOL (tptp.hAPP @t1684 @t1670))) % 18.94/19.16 (define @t1686 () (@list @t85 @t82 @t81 @t33)) % 18.94/19.16 (define @t1687 () (tptp.hBOOL (tptp.hAPP @t83 @t504))) % 18.94/19.16 (define @t1688 () (tptp.class_Groups_Oordered__ab__semigroup__add @t33)) % 18.94/19.16 (define @t1689 () (tptp.hAPP @t1662 @t216)) % 18.94/19.16 (define @t1690 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t10)) % 18.94/19.16 (define @t1691 () (@list @t216 @t219 @t220 @t10)) % 18.94/19.16 (define @t1692 () (tptp.hAPP @t1664 @t220)) % 18.94/19.16 (define @t1693 () (@list @t216 @t220 @t219 @t10)) % 18.94/19.16 (define @t1694 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t1656) @t1680))) % 18.94/19.16 (define @t1695 () (tptp.hAPP @t986 @t1660)) % 18.94/19.16 (define @t1696 () (tptp.hBOOL (tptp.hAPP @t1695 @t1670))) % 18.94/19.16 (define @t1697 () (tptp.hBOOL (tptp.hAPP @t1695 @t1678))) % 18.94/19.16 (define @t1698 () (tptp.hBOOL (tptp.hAPP @t1008 @t504))) % 18.94/19.16 (define @t1699 () (=> @t1698 @t1697)) % 18.94/19.16 (define @t1700 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t33)) % 18.94/19.16 (define @t1701 () (@var "V_e" $$unsorted)) % 18.94/19.16 (define @t1702 () (tptp.hAPP @t877 @t1629)) % 18.94/19.16 (define @t1703 () (tptp.hAPP @t1627 @t408)) % 18.94/19.16 (define @t1704 () (tptp.hAPP @t404 @t1629)) % 18.94/19.16 (define @t1705 () (tptp.hAPP @t1628 @t1518)) % 18.94/19.16 (define @t1706 () (tptp.hAPP (tptp.hAPP @t1239 @t1705) @t1537)) % 18.94/19.16 (define @t1707 () (tptp.hAPP @t1627 @t1537)) % 18.94/19.16 (define @t1708 () (tptp.hAPP @t1627 @t1518)) % 18.94/19.16 (define @t1709 () (tptp.hAPP @t1708 @t1518)) % 18.94/19.16 (define @t1710 () (tptp.hAPP @t1239 @t1709)) % 18.94/19.16 (define @t1711 () (@list @t1537 @t33)) % 18.94/19.16 (define @t1712 () (tptp.hAPP @t1627 @t32)) % 18.94/19.16 (define @t1713 () (tptp.hAPP (tptp.hAPP @t1396 (tptp.hAPP (tptp.hAPP @t1394 @t1594) @t2)) @t1)) % 18.94/19.16 (define @t1714 () (@var "V_e_2" $$unsorted)) % 18.94/19.16 (define @t1715 () (tptp.hAPP (tptp.hAPP @t1594 (tptp.hAPP (tptp.hAPP @t1212 (tptp.hAPP (tptp.hAPP @t865 @t216) @t219)) @t1714)) @t215)) % 18.94/19.16 (define @t1716 () (tptp.hAPP (tptp.hAPP @t1594 (tptp.hAPP @t1283 @t1714)) @t215)) % 18.94/19.16 (define @t1717 () (tptp.hAPP (tptp.hAPP @t1594 (tptp.hAPP @t1284 @t1714)) @t220)) % 18.94/19.16 (define @t1718 () (= @t1717 @t1716)) % 18.94/19.16 (define @t1719 () (tptp.class_Rings_Oring @t10)) % 18.94/19.16 (define @t1720 () (@list @t215 @t216 @t220 @t1714 @t219 @t10)) % 18.94/19.16 (define @t1721 () (tptp.hAPP (tptp.hAPP @t1594 (tptp.hAPP (tptp.hAPP @t1212 @t866) @t1714)) @t220)) % 18.94/19.16 (define @t1722 () (= @t881 (tptp.hAPP @t1628 @t409))) % 18.94/19.16 (define @t1723 () (tptp.hAPP @t1585 @t1583)) % 18.94/19.16 (define @t1724 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1717) @t1716))) % 18.94/19.16 (define @t1725 () (tptp.class_Rings_Oordered__ring @t10)) % 18.94/19.16 (define @t1726 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t1717) @t1716))) % 18.94/19.16 (define @t1727 () (tptp.hAPP @t1246 @t81)) % 18.94/19.16 (define @t1728 () (@var "V_ry" $$unsorted)) % 18.94/19.16 (define @t1729 () (@var "V_lx" $$unsorted)) % 18.94/19.16 (define @t1730 () (tptp.hAPP @t1239 @t1729)) % 18.94/19.16 (define @t1731 () (@var "V_rx" $$unsorted)) % 18.94/19.16 (define @t1732 () (tptp.hAPP @t1239 @t1731)) % 18.94/19.16 (define @t1733 () (tptp.hAPP @t1732 @t1728)) % 18.94/19.16 (define @t1734 () (tptp.hAPP @t1730 @t1733)) % 18.94/19.16 (define @t1735 () (@list @t1728 @t1731 @t1729 @t33)) % 18.94/19.16 (define @t1736 () (tptp.hAPP @t1239 (tptp.hAPP @t1730 @t1731))) % 18.94/19.16 (define @t1737 () (@var "V_ly" $$unsorted)) % 18.94/19.16 (define @t1738 () (tptp.hAPP @t1239 @t1737)) % 18.94/19.16 (define @t1739 () (tptp.hAPP @t1239 (tptp.hAPP @t1730 @t1737))) % 18.94/19.16 (define @t1740 () (tptp.hAPP @t1739 @t1731)) % 18.94/19.16 (define @t1741 () (@list @t1731 @t1737 @t1729 @t33)) % 18.94/19.16 (define @t1742 () (tptp.hAPP @t1739 @t1733)) % 18.94/19.16 (define @t1743 () (@list @t1728 @t1731 @t1737 @t1729 @t33)) % 18.94/19.16 (define @t1744 () (tptp.hAPP @t1566 @t858)) % 18.94/19.16 (define @t1745 () (tptp.hAPP @t1723 (tptp.hAPP @t1566 @t22))) % 18.94/19.16 (define @t1746 () (tptp.hAPP @t1566 @t458)) % 18.94/19.16 (define @t1747 () (@list @t47 @t1 @t23 @t10 @t38)) % 18.94/19.16 (define @t1748 () (= @t1746 @t1745)) % 18.94/19.16 (define @t1749 () (tptp.hAPP @t1486 @t603)) % 18.94/19.16 (define @t1750 () (tptp.hAPP @t1548 @t1135)) % 18.94/19.16 (define @t1751 () (tptp.hAPP @t1750 @t207)) % 18.94/19.16 (define @t1752 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1753 () (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP (tptp.hAPP @t1752 @t1751) @t192)) @t831)) % 18.94/19.16 (define @t1754 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1755 () (tptp.hAPP @t1754 @t561)) % 18.94/19.16 (define @t1756 () (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP (tptp.hAPP @t1752 @t1135) @t192)) @t831)) % 18.94/19.16 (define @t1757 () (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP (tptp.hAPP @t1752 @t207) @t192)) @t561)) % 18.94/19.16 (define @t1758 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1757) @t1756))) % 18.94/19.16 (define @t1759 () (@list @t831 @t561 @t192 @t1135 @t207)) % 18.94/19.16 (define @t1760 () (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP (tptp.hAPP @t1752 (tptp.hAPP (tptp.hAPP @t1548 @t207) @t1135)) @t192)) @t561)) % 18.94/19.16 (define @t1761 () (tptp.hAPP @t1512 @t1135)) % 18.94/19.16 (define @t1762 () (tptp.hBOOL (tptp.hAPP @t1761 @t207))) % 18.94/19.16 (define @t1763 () (@list @t831 @t561 @t192 @t207 @t1135)) % 18.94/19.16 (define @t1764 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1757) @t1756))) % 18.94/19.16 (define @t1765 () (@var "V_u" $$unsorted)) % 18.94/19.16 (define @t1766 () (@var "V_j" $$unsorted)) % 18.94/19.16 (define @t1767 () (@var "V_i" $$unsorted)) % 18.94/19.16 (define @t1768 () (tptp.hAPP @t1548 @t1767)) % 18.94/19.16 (define @t1769 () (tptp.hAPP @t1768 @t1766)) % 18.94/19.16 (define @t1770 () (tptp.hAPP @t1752 @t1766)) % 18.94/19.16 (define @t1771 () (tptp.hAPP @t1596 (tptp.hAPP @t1770 @t1765))) % 18.94/19.16 (define @t1772 () (tptp.hAPP @t1752 @t1767)) % 18.94/19.16 (define @t1773 () (tptp.hAPP @t1596 (tptp.hAPP @t1772 @t1765))) % 18.94/19.16 (define @t1774 () (tptp.hAPP (tptp.hAPP @t1548 (tptp.hAPP @t1773 @t1537)) (tptp.hAPP @t1771 @t1536))) % 18.94/19.16 (define @t1775 () (tptp.hAPP @t1512 @t1766)) % 18.94/19.16 (define @t1776 () (tptp.hBOOL (tptp.hAPP @t1775 @t1767))) % 18.94/19.16 (define @t1777 () (= @t1757 @t1756)) % 18.94/19.16 (define @t1778 () (tptp.hAPP @t1548 @t1766)) % 18.94/19.16 (define @t1779 () (tptp.hAPP @t1778 @t1767)) % 18.94/19.16 (define @t1780 () (tptp.hAPP @t1548 @t1537)) % 18.94/19.16 (define @t1781 () (tptp.hAPP @t1512 @t1767)) % 18.94/19.16 (define @t1782 () (tptp.hBOOL (tptp.hAPP @t1781 @t1766))) % 18.94/19.16 (define @t1783 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t395 @t192)) % 18.94/19.16 (define @t1784 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1785 () (tptp.hAPP @t1784 @t118)) % 18.94/19.16 (define @t1786 () (@list @t118)) % 18.94/19.16 (define @t1787 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1788 () (tptp.hAPP @t1787 @t118)) % 18.94/19.16 (define @t1789 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t395 @t192)) % 18.94/19.16 (define @t1790 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t395 @t192)) % 18.94/19.16 (define @t1791 () (@var "V_k" $$unsorted)) % 18.94/19.16 (define @t1792 () (tptp.hAPP @t1596 @t1767)) % 18.94/19.16 (define @t1793 () (tptp.hAPP @t1792 @t1766)) % 18.94/19.16 (define @t1794 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t25)) % 18.94/19.16 (define @t1795 () (tptp.hAPP @t1784 @t831)) % 18.94/19.16 (define @t1796 () (tptp.hAPP @t1794 @t1795)) % 18.94/19.16 (define @t1797 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t207 @t1135)) % 18.94/19.16 (define @t1798 () (tptp.c_Orderings_Otop__class_Otop @t1650)) % 18.94/19.16 (define @t1799 () (tptp.hAPP @t1778 @t1791)) % 18.94/19.16 (define @t1800 () (tptp.hAPP (tptp.hAPP @t1596 @t1799) @t1767)) % 18.94/19.16 (define @t1801 () (tptp.hAPP @t1596 @t1766)) % 18.94/19.16 (define @t1802 () (tptp.hAPP @t1801 @t1767)) % 18.94/19.16 (define @t1803 () (tptp.hAPP (tptp.hAPP @t1548 @t1802) @t1791)) % 18.94/19.16 (define @t1804 () (tptp.hAPP @t1512 @t1791)) % 18.94/19.16 (define @t1805 () (tptp.hBOOL (tptp.hAPP @t1804 @t1766))) % 18.94/19.16 (define @t1806 () (@list @t1767 @t1766 @t1791)) % 18.94/19.16 (define @t1807 () (tptp.hAPP @t1792 @t1799)) % 18.94/19.16 (define @t1808 () (tptp.hAPP (tptp.hAPP @t1548 @t1793) @t1791)) % 18.94/19.16 (define @t1809 () (tptp.hAPP @t1596 @t118)) % 18.94/19.16 (define @t1810 () (tptp.hAPP @t1780 @t1536)) % 18.94/19.16 (define @t1811 () (tptp.hAPP @t1512 @t1536)) % 18.94/19.16 (define @t1812 () (tptp.hBOOL (tptp.hAPP @t1811 @t1537))) % 18.94/19.16 (define @t1813 () (@list @t1537 @t1536)) % 18.94/19.16 (define @t1814 () (tptp.hAPP @t1750 @t118)) % 18.94/19.16 (define @t1815 () (tptp.hAPP @t1512 @t118)) % 18.94/19.16 (define @t1816 () (tptp.c_Orderings_Obot__class_Obot @t1650)) % 18.94/19.16 (define @t1817 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1818 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t1650) @t1798)) % 18.94/19.16 (define @t1819 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1820 () (tptp.hAPP @t1754 @t1536)) % 18.94/19.16 (define @t1821 () (@list @t1536)) % 18.94/19.16 (define @t1822 () (tptp.hAPP @t1754 @t831)) % 18.94/19.16 (define @t1823 () (tptp.hBOOL (tptp.hAPP @t1822 @t561))) % 18.94/19.16 (define @t1824 () (tptp.hBOOL (tptp.hAPP @t1755 @t831))) % 18.94/19.16 (define @t1825 () (= @t561 @t831)) % 18.94/19.16 (define @t1826 () (not @t1825)) % 18.94/19.16 (define @t1827 () (@list @t831 @t561)) % 18.94/19.16 (define @t1828 () (tptp.hAPP @t1754 @t32)) % 18.94/19.16 (define @t1829 () (tptp.hBOOL (tptp.hAPP @t1828 @t64))) % 18.94/19.16 (define @t1830 () (@list @t64 @t32)) % 18.94/19.16 (define @t1831 () (= @t1537 @t1536)) % 18.94/19.16 (define @t1832 () (not @t1831)) % 18.94/19.16 (define @t1833 () (tptp.hBOOL (tptp.hAPP @t1820 @t1537))) % 18.94/19.16 (define @t1834 () (@var "V_t" $$unsorted)) % 18.94/19.16 (define @t1835 () (@var "V_s" $$unsorted)) % 18.94/19.16 (define @t1836 () (tptp.hAPP @t56 @t831)) % 18.94/19.16 (define @t1837 () (tptp.hBOOL (tptp.hAPP @t1836 @t561))) % 18.94/19.16 (define @t1838 () (@list @t831 @t118 @t561)) % 18.94/19.16 (define @t1839 () (tptp.hAPP @t1809 @t831)) % 18.94/19.16 (define @t1840 () (tptp.hAPP @t1809 @t561)) % 18.94/19.16 (define @t1841 () (@list @t831 @t561 @t118)) % 18.94/19.16 (define @t1842 () (tptp.hAPP @t1596 @t1536)) % 18.94/19.16 (define @t1843 () (tptp.hAPP @t1842 @t1791)) % 18.94/19.16 (define @t1844 () (tptp.hAPP @t1596 @t1537)) % 18.94/19.16 (define @t1845 () (tptp.hAPP @t1844 @t1536)) % 18.94/19.16 (define @t1846 () (@list @t1791 @t1536 @t1537)) % 18.94/19.16 (define @t1847 () (tptp.hAPP @t1596 @t32)) % 18.94/19.16 (define @t1848 () (tptp.hAPP @t1596 @t64)) % 18.94/19.16 (define @t1849 () (tptp.hAPP @t1848 @t70)) % 18.94/19.16 (define @t1850 () (@list @t70 @t64 @t32)) % 18.94/19.16 (define @t1851 () (tptp.hAPP @t1842 @t1537)) % 18.94/19.16 (define @t1852 () (@list @t1536 @t1537)) % 18.94/19.16 (define @t1853 () (tptp.hAPP @t1512 @t1537)) % 18.94/19.16 (define @t1854 () (tptp.hBOOL (tptp.hAPP @t1853 @t1536))) % 18.94/19.16 (define @t1855 () (@list @t1791 @t1766 @t1767)) % 18.94/19.16 (define @t1856 () (tptp.hAPP (tptp.hAPP @t1548 @t1769) @t1791)) % 18.94/19.16 (define @t1857 () (tptp.hAPP @t1752 @t1536)) % 18.94/19.16 (define @t1858 () (tptp.hAPP @t1857 @t1791)) % 18.94/19.16 (define @t1859 () (tptp.hAPP @t1752 @t1537)) % 18.94/19.16 (define @t1860 () (tptp.hAPP @t1859 @t1536)) % 18.94/19.16 (define @t1861 () (tptp.hAPP @t1857 @t1537)) % 18.94/19.16 (define @t1862 () (tptp.hAPP @t1754 @t1767)) % 18.94/19.16 (define @t1863 () (tptp.hAPP @t1754 @t1793)) % 18.94/19.16 (define @t1864 () (tptp.hAPP @t1754 @t1537)) % 18.94/19.16 (define @t1865 () (tptp.hBOOL (tptp.hAPP @t1864 @t1536))) % 18.94/19.16 (define @t1866 () (tptp.hAPP @t1596 @t1791)) % 18.94/19.16 (define @t1867 () (tptp.hAPP @t1866 @t1536)) % 18.94/19.16 (define @t1868 () (@var "V_l" $$unsorted)) % 18.94/19.16 (define @t1869 () (tptp.hAPP @t1754 @t1791)) % 18.94/19.16 (define @t1870 () (tptp.hBOOL (tptp.hAPP @t1869 @t1868))) % 18.94/19.16 (define @t1871 () (tptp.hAPP @t1801 @t1868)) % 18.94/19.16 (define @t1872 () (tptp.hAPP @t1792 @t1791)) % 18.94/19.16 (define @t1873 () (tptp.hAPP @t1754 @t1872)) % 18.94/19.16 (define @t1874 () (tptp.hBOOL (tptp.hAPP @t1862 @t1766))) % 18.94/19.16 (define @t1875 () (@list @t1868 @t1791 @t1766 @t1767)) % 18.94/19.16 (define @t1876 () (tptp.hAPP @t1801 @t1791)) % 18.94/19.16 (define @t1877 () (tptp.hAPP @t1844 @t1766)) % 18.94/19.16 (define @t1878 () (@list @t1537 @t1766 @t1767)) % 18.94/19.16 (define @t1879 () (tptp.hAPP @t1801 @t1537)) % 18.94/19.16 (define @t1880 () (@list @t1767 @t1766)) % 18.94/19.16 (define @t1881 () (@list @t1766 @t1767)) % 18.94/19.16 (define @t1882 () (or @t1824 @t1825)) % 18.94/19.16 (define @t1883 () (@var "B_k" $$unsorted)) % 18.94/19.16 (define @t1884 () (tptp.hAPP @t1610 @t1883)) % 18.94/19.16 (define @t1885 () (@list @t1883)) % 18.94/19.16 (define @t1886 () (tptp.hAPP @t1512 @t1872)) % 18.94/19.16 (define @t1887 () (tptp.hBOOL (tptp.hAPP @t1804 @t1868))) % 18.94/19.16 (define @t1888 () (tptp.hBOOL (tptp.hAPP @t1804 @t1536))) % 18.94/19.16 (define @t1889 () (tptp.hAPP @t1844 @t1791)) % 18.94/19.16 (define @t1890 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1889) @t1536))) % 18.94/19.16 (define @t1891 () (@list @t1536 @t1791 @t1537)) % 18.94/19.16 (define @t1892 () (tptp.hAPP @t1548 @t1868)) % 18.94/19.16 (define @t1893 () (tptp.hAPP @t1892 @t1537)) % 18.94/19.16 (define @t1894 () (tptp.hAPP @t1892 @t1536)) % 18.94/19.16 (define @t1895 () (@list @t1868 @t1536 @t1537)) % 18.94/19.16 (define @t1896 () (tptp.hAPP @t1754 @t1766)) % 18.94/19.16 (define @t1897 () (tptp.hBOOL (tptp.hAPP @t1896 @t1791))) % 18.94/19.16 (define @t1898 () (tptp.hAPP @t1548 @t1851)) % 18.94/19.16 (define @t1899 () (tptp.hAPP @t1866 @t1537)) % 18.94/19.16 (define @t1900 () (@list @t1536 @t1537 @t1791)) % 18.94/19.16 (define @t1901 () (tptp.hAPP @t1548 @t1889)) % 18.94/19.16 (define @t1902 () (tptp.hAPP @t1752 @t1791)) % 18.94/19.16 (define @t1903 () (tptp.hAPP @t1902 @t1536)) % 18.94/19.16 (define @t1904 () (tptp.hAPP @t1902 @t1537)) % 18.94/19.16 (define @t1905 () (tptp.hAPP @t1859 @t1791)) % 18.94/19.16 (define @t1906 () (tptp.hAPP @t1548 @t1536)) % 18.94/19.16 (define @t1907 () (tptp.hAPP @t1906 @t1767)) % 18.94/19.16 (define @t1908 () (@list @t1536 @t1767)) % 18.94/19.16 (define @t1909 () (tptp.hAPP @t1548 @t831)) % 18.94/19.16 (define @t1910 () (tptp.hAPP @t1909 @t118)) % 18.94/19.16 (define @t1911 () (tptp.hAPP @t1548 @t561)) % 18.94/19.16 (define @t1912 () (tptp.hAPP @t1911 @t118)) % 18.94/19.16 (define @t1913 () (tptp.hBOOL (tptp.hAPP @t1815 @t831))) % 18.94/19.16 (define @t1914 () (tptp.hBOOL (tptp.hAPP @t1815 @t561))) % 18.94/19.16 (define @t1915 () (tptp.hAPP @t1772 @t1791)) % 18.94/19.16 (define @t1916 () (tptp.hAPP @t1512 @t1915)) % 18.94/19.16 (define @t1917 () (tptp.hAPP @t1902 @t1766)) % 18.94/19.16 (define @t1918 () (tptp.hAPP @t1902 @t1767)) % 18.94/19.16 (define @t1919 () (tptp.hAPP @t1770 @t1791)) % 18.94/19.16 (define @t1920 () (tptp.hAPP @t1859 @t1537)) % 18.94/19.16 (define @t1921 () (@list @t1537)) % 18.94/19.16 (define @t1922 () (and (= @t561 @t1599) (= @t831 @t1599))) % 18.94/19.16 (define @t1923 () (tptp.hAPP @t1752 @t561)) % 18.94/19.16 (define @t1924 () (tptp.hAPP @t1923 @t831)) % 18.94/19.16 (define @t1925 () (= (tptp.hAPP @t1842 @t1810) @t1537)) % 18.94/19.16 (define @t1926 () (not @t1865)) % 18.94/19.16 (define @t1927 () (tptp.hAPP @t1754 @t207)) % 18.94/19.16 (define @t1928 () (@list @t82 @t85 @t81)) % 18.94/19.16 (define @t1929 () (@list @t1537 @t1536 @t1791)) % 18.94/19.16 (define @t1930 () (tptp.hAPP @t1909 @t1599)) % 18.94/19.16 (define @t1931 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t10)) % 18.94/19.16 (define @t1932 () (tptp.hAPP @t1931 @t831)) % 18.94/19.16 (define @t1933 () (tptp.hAPP @t1212 @t1932)) % 18.94/19.16 (define @t1934 () (tptp.hAPP @t1787 @t831)) % 18.94/19.16 (define @t1935 () (tptp.c_COMBB @t10 @t1180 tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1936 () (tptp.hAPP @t1594 @t1494)) % 18.94/19.16 (define @t1937 () (tptp.hAPP @t1212 (tptp.hAPP @t1936 @t1494))) % 18.94/19.16 (define @t1938 () (tptp.class_Rings_Ocomm__semiring__1 @t10)) % 18.94/19.16 (define @t1939 () (tptp.c_Groups_Ozero__class_Ozero @t10)) % 18.94/19.16 (define @t1940 () (tptp.hAPP (tptp.hAPP @t1505 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t10 @t10) (tptp.hAPP (tptp.hAPP @t1935 @t865) @t2)) (tptp.hAPP @t1607 (tptp.hAPP @t1605 @t1599)))) @t1601)) % 18.94/19.16 (define @t1941 () (not @t1516)) % 18.94/19.16 (define @t1942 () (tptp.hAPP @t2 @t561)) % 18.94/19.16 (define @t1943 () (@list @t2 @t831 @t561 @t10)) % 18.94/19.16 (define @t1944 () (tptp.hAPP @t1512 @t32)) % 18.94/19.16 (define @t1945 () (tptp.hBOOL (tptp.hAPP @t1944 @t1849))) % 18.94/19.16 (define @t1946 () (tptp.hBOOL (tptp.hAPP @t1944 @t64))) % 18.94/19.16 (define @t1947 () (@list @t64 @t70 @t32)) % 18.94/19.16 (define @t1948 () (tptp.hBOOL (tptp.hAPP @t1828 @t1849))) % 18.94/19.16 (define @t1949 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t1950 () (tptp.hAPP @t1512 @t1949)) % 18.94/19.16 (define @t1951 () (tptp.hAPP @t1754 @t1949)) % 18.94/19.16 (define @t1952 () (tptp.hBOOL (tptp.hAPP @t1951 @t831))) % 18.94/19.16 (define @t1953 () (tptp.hAPP @t967 @t1939)) % 18.94/19.16 (define @t1954 () (tptp.class_Rings_Olinordered__semidom @t10)) % 18.94/19.16 (define @t1955 () (tptp.c_Groups_Ozero__class_Ozero @t33)) % 18.94/19.16 (define @t1956 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t33)) % 18.94/19.16 (define @t1957 () (tptp.hAPP @t1956 @t1537)) % 18.94/19.16 (define @t1958 () (tptp.hAPP @t986 @t1957)) % 18.94/19.16 (define @t1959 () (tptp.class_Rings_Osemiring__1 @t33)) % 18.94/19.16 (define @t1960 () (tptp.hAPP @t1931 @t561)) % 18.94/19.16 (define @t1961 () (tptp.class_Nat_Osemiring__char__0 @t10)) % 18.94/19.16 (define @t1962 () (tptp.hAPP @t1956 @t1536)) % 18.94/19.16 (define @t1963 () (tptp.hAPP @t34 @t1955)) % 18.94/19.16 (define @t1964 () (@list @t1536 @t33)) % 18.94/19.16 (define @t1965 () (= @t47 @t1939)) % 18.94/19.16 (define @t1966 () (= @t219 @t1939)) % 18.94/19.16 (define @t1967 () (= (tptp.hAPP @t1628 @t1955) @t81)) % 18.94/19.16 (define @t1968 () (tptp.hAPP @t1627 @t1955)) % 18.94/19.16 (define @t1969 () (= (tptp.hAPP @t1968 @t81) @t81)) % 18.94/19.16 (define @t1970 () (tptp.class_Groups_Omonoid__add @t33)) % 18.94/19.16 (define @t1971 () (tptp.class_Groups_Ocomm__monoid__add @t33)) % 18.94/19.16 (define @t1972 () (tptp.hAPP @t1667 @t219)) % 18.94/19.16 (define @t1973 () (tptp.class_Groups_Olinordered__ab__group__add @t10)) % 18.94/19.16 (define @t1974 () (= (tptp.hAPP (tptp.hAPP @t1239 @t1955) @t81) @t1955)) % 18.94/19.16 (define @t1975 () (tptp.class_Rings_Omult__zero @t33)) % 18.94/19.16 (define @t1976 () (= (tptp.hAPP @t1240 @t1955) @t1955)) % 18.94/19.16 (define @t1977 () (= @t216 @t1939)) % 18.94/19.16 (define @t1978 () (tptp.hAPP @t1284 @t216)) % 18.94/19.16 (define @t1979 () (= @t1245 @t1955)) % 18.94/19.16 (define @t1980 () (= @t85 @t1955)) % 18.94/19.16 (define @t1981 () (not @t1980)) % 18.94/19.16 (define @t1982 () (= @t81 @t1955)) % 18.94/19.16 (define @t1983 () (not @t1982)) % 18.94/19.16 (define @t1984 () (tptp.class_Rings_Ono__zero__divisors @t33)) % 18.94/19.16 (define @t1985 () (= @t866 @t1939)) % 18.94/19.16 (define @t1986 () (tptp.class_Rings_Ozero__neq__one @t33)) % 18.94/19.16 (define @t1987 () (= @t831 @t1949)) % 18.94/19.16 (define @t1988 () (not @t1987)) % 18.94/19.16 (define @t1989 () (@list @t831)) % 18.94/19.16 (define @t1990 () (= @t1536 @t1949)) % 18.94/19.16 (define @t1991 () (not @t1990)) % 18.94/19.16 (define @t1992 () (tptp.hBOOL (tptp.hAPP @t1951 @t1536))) % 18.94/19.16 (define @t1993 () (= @t561 @t1949)) % 18.94/19.16 (define @t1994 () (tptp.hAPP @t1610 @t831)) % 18.94/19.16 (define @t1995 () (tptp.hAPP @t1906 @t1537)) % 18.94/19.16 (define @t1996 () (= @t1810 @t1949)) % 18.94/19.16 (define @t1997 () (= @t118 @t1949)) % 18.94/19.16 (define @t1998 () (tptp.hAPP @t1752 @t118)) % 18.94/19.16 (define @t1999 () (tptp.hAPP @t1998 @t831)) % 18.94/19.16 (define @t2000 () (tptp.hAPP @t1998 @t561)) % 18.94/19.16 (define @t2001 () (= @t2000 @t1999)) % 18.94/19.16 (define @t2002 () (or @t1825 @t1997)) % 18.94/19.16 (define @t2003 () (tptp.hAPP @t1752 @t831)) % 18.94/19.16 (define @t2004 () (tptp.hAPP @t2003 @t118)) % 18.94/19.16 (define @t2005 () (tptp.hAPP @t1923 @t118)) % 18.94/19.16 (define @t2006 () (@list @t561)) % 18.94/19.16 (define @t2007 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2008 () (tptp.hAPP @t2007 @t1949)) % 18.94/19.16 (define @t2009 () (tptp.hAPP @t2008 @t1816)) % 18.94/19.16 (define @t2010 () (tptp.hAPP @t1160 @t1939)) % 18.94/19.16 (define @t2011 () (@list @t23 @t38 @t10)) % 18.94/19.16 (define @t2012 () (tptp.hBOOL (tptp.hAPP @t1958 @t1962))) % 18.94/19.16 (define @t2013 () (tptp.hAPP @t99 @t1939)) % 18.94/19.16 (define @t2014 () (tptp.hBOOL (tptp.hAPP @t2013 @t219))) % 18.94/19.16 (define @t2015 () (tptp.hBOOL (tptp.hAPP @t232 @t1939))) % 18.94/19.16 (define @t2016 () (tptp.hBOOL (tptp.hAPP @t1963 @t85))) % 18.94/19.16 (define @t2017 () (tptp.hBOOL (tptp.hAPP @t1963 @t81))) % 18.94/19.16 (define @t2018 () (tptp.class_Groups_Oordered__comm__monoid__add @t33)) % 18.94/19.16 (define @t2019 () (= @t97 @t1939)) % 18.94/19.16 (define @t2020 () (and @t1965 @t2019)) % 18.94/19.16 (define @t2021 () (tptp.hAPP @t1594 @t47)) % 18.94/19.16 (define @t2022 () (tptp.hAPP @t2021 @t97)) % 18.94/19.16 (define @t2023 () (tptp.hBOOL (tptp.hAPP @t87 @t1660))) % 18.94/19.16 (define @t2024 () (tptp.hBOOL (tptp.hAPP @t1963 @t82))) % 18.94/19.16 (define @t2025 () (@list @t81 @t85 @t82 @t33)) % 18.94/19.16 (define @t2026 () (tptp.hBOOL (tptp.hAPP @t87 @t1955))) % 18.94/19.16 (define @t2027 () (tptp.hBOOL (tptp.hAPP @t90 @t1955))) % 18.94/19.16 (define @t2028 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t1245) @t1955))) % 18.94/19.16 (define @t2029 () (tptp.class_Rings_Oordered__cancel__semiring @t33)) % 18.94/19.16 (define @t2030 () (tptp.hBOOL (tptp.hAPP @t1963 @t1245))) % 18.94/19.16 (define @t2031 () (tptp.class_Rings_Oordered__ring @t33)) % 18.94/19.16 (define @t2032 () (tptp.hAPP @t1246 @t504)) % 18.94/19.16 (define @t2033 () (tptp.hAPP @t34 @t1633)) % 18.94/19.16 (define @t2034 () (=> @t2024 (tptp.hBOOL (tptp.hAPP @t2033 @t2032)))) % 18.94/19.16 (define @t2035 () (tptp.class_Rings_Oordered__semiring @t33)) % 18.94/19.16 (define @t2036 () (tptp.hAPP @t1239 @t82)) % 18.94/19.16 (define @t2037 () (tptp.hAPP @t2036 @t85)) % 18.94/19.16 (define @t2038 () (tptp.hAPP @t2036 @t81)) % 18.94/19.16 (define @t2039 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t2038) @t2037))) % 18.94/19.16 (define @t2040 () (tptp.hBOOL (tptp.hAPP @t83 @t1955))) % 18.94/19.16 (define @t2041 () (tptp.hBOOL (tptp.hAPP @t2033 @t1247))) % 18.94/19.16 (define @t2042 () (=> @t92 (=> @t2024 @t2039))) % 18.94/19.16 (define @t2043 () (tptp.hBOOL (tptp.hAPP @t2013 @t216))) % 18.94/19.16 (define @t2044 () (tptp.hBOOL (tptp.hAPP @t217 @t1939))) % 18.94/19.16 (define @t2045 () (or (and @t2014 @t2044) (and @t2015 @t2043))) % 18.94/19.16 (define @t2046 () (tptp.class_Rings_Olinordered__ring__strict @t10)) % 18.94/19.16 (define @t2047 () (or (and @t2014 @t2043) (and @t2015 @t2044))) % 18.94/19.16 (define @t2048 () (tptp.class_Rings_Olinordered__ring @t33)) % 18.94/19.16 (define @t2049 () (tptp.hBOOL (tptp.hAPP @t1001 @t1660))) % 18.94/19.16 (define @t2050 () (=> @t1007 @t2049)) % 18.94/19.16 (define @t2051 () (tptp.hAPP @t986 @t1955)) % 18.94/19.16 (define @t2052 () (tptp.hBOOL (tptp.hAPP @t2051 @t81))) % 18.94/19.16 (define @t2053 () (tptp.hBOOL (tptp.hAPP @t1953 @t219))) % 18.94/19.16 (define @t2054 () (tptp.hBOOL (tptp.hAPP @t1035 @t1939))) % 18.94/19.16 (define @t2055 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t1972) @t1939)) @t2054)) % 18.94/19.16 (define @t2056 () (tptp.hBOOL (tptp.hAPP @t2051 @t1629))) % 18.94/19.16 (define @t2057 () (tptp.hBOOL (tptp.hAPP @t2051 @t85))) % 18.94/19.16 (define @t2058 () (=> @t2057 @t2056)) % 18.94/19.16 (define @t2059 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t1629) @t1955))) % 18.94/19.16 (define @t2060 () (tptp.hBOOL (tptp.hAPP @t1001 @t1955))) % 18.94/19.16 (define @t2061 () (=> @t2060 @t2059)) % 18.94/19.16 (define @t2062 () (tptp.hBOOL (tptp.hAPP @t1003 @t1955))) % 18.94/19.16 (define @t2063 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t2038) @t2037))) % 18.94/19.16 (define @t2064 () (tptp.hBOOL (tptp.hAPP @t1008 @t1955))) % 18.94/19.16 (define @t2065 () (tptp.class_Rings_Olinordered__ring__strict @t33)) % 18.94/19.16 (define @t2066 () (tptp.hAPP @t986 @t1633)) % 18.94/19.16 (define @t2067 () (tptp.hBOOL (tptp.hAPP @t2066 @t1247))) % 18.94/19.16 (define @t2068 () (tptp.hBOOL (tptp.hAPP @t2051 @t82))) % 18.94/19.16 (define @t2069 () (=> @t1004 (=> @t2068 @t2063))) % 18.94/19.16 (define @t2070 () (tptp.class_Rings_Olinordered__semiring__strict @t33)) % 18.94/19.16 (define @t2071 () (tptp.hBOOL (tptp.hAPP @t2051 @t1245))) % 18.94/19.16 (define @t2072 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t1245) @t1955))) % 18.94/19.16 (define @t2073 () (tptp.hAPP @t1212 @t220)) % 18.94/19.16 (define @t2074 () (tptp.hAPP @t2073 @t216)) % 18.94/19.16 (define @t2075 () (tptp.hAPP @t2073 @t219)) % 18.94/19.16 (define @t2076 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t2075) @t2074))) % 18.94/19.16 (define @t2077 () (tptp.hBOOL (tptp.hAPP @t1029 @t1939))) % 18.94/19.16 (define @t2078 () (=> @t2052 @t2057)) % 18.94/19.16 (define @t2079 () (tptp.hBOOL (tptp.hAPP @t1953 @t220))) % 18.94/19.16 (define @t2080 () (or (and @t2079 @t1036) (and @t2077 @t1064))) % 18.94/19.16 (define @t2081 () (tptp.hAPP @t967 @t1637)) % 18.94/19.16 (define @t2082 () (@var "V_r" $$unsorted)) % 18.94/19.16 (define @t2083 () (tptp.hAPP @t1239 @t2082)) % 18.94/19.16 (define @t2084 () (tptp.hAPP @t34 @t1518)) % 18.94/19.16 (define @t2085 () (tptp.class_Rings_Olinordered__idom @t10)) % 18.94/19.16 (define @t2086 () (= (tptp.hAPP @t1703 @t81) @t1955)) % 18.94/19.16 (define @t2087 () (@list @t1 @t38 @t10)) % 18.94/19.16 (define @t2088 () (tptp.c_Groups_Ozero__class_Ozero @t38)) % 18.94/19.16 (define @t2089 () (not @t1292)) % 18.94/19.16 (define @t2090 () (@list @t2 @t23 @t10 @t38)) % 18.94/19.16 (define @t2091 () (=> @t2089 (= @t1583 @t2088))) % 18.94/19.16 (define @t2092 () (@list @t1 @t23 @t10 @t38)) % 18.94/19.16 (define @t2093 () (tptp.hBOOL (tptp.hAPP @t1951 @t561))) % 18.94/19.16 (define @t2094 () (tptp.hAPP @t1754 @t1810)) % 18.94/19.16 (define @t2095 () (tptp.hBOOL (tptp.hAPP @t1951 @t1537))) % 18.94/19.16 (define @t2096 () (tptp.hAPP @t1909 @t561)) % 18.94/19.16 (define @t2097 () (@list @t561 @t831)) % 18.94/19.16 (define @t2098 () (tptp.hBOOL (tptp.hAPP @t1951 @t118))) % 18.94/19.16 (define @t2099 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t2000) @t1999))) % 18.94/19.16 (define @t2100 () (and @t2098 @t1824)) % 18.94/19.16 (define @t2101 () (tptp.hBOOL (tptp.hAPP @t1951 @t1791))) % 18.94/19.16 (define @t2102 () (tptp.hAPP @t1911 @t831)) % 18.94/19.16 (define @t2103 () (= @t1537 @t1949)) % 18.94/19.16 (define @t2104 () (tptp.hBOOL (tptp.hAPP @t317 @t1082))) % 18.94/19.16 (define @t2105 () (@list @t2 @t1082 @t10)) % 18.94/19.16 (define @t2106 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1949)) % 18.94/19.16 (define @t2107 () (tptp.hAPP @t2106 @t831)) % 18.94/19.16 (define @t2108 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1949 @t831)) % 18.94/19.16 (define @t2109 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2075) @t2074))) % 18.94/19.16 (define @t2110 () (tptp.hBOOL (tptp.hAPP @t2066 @t2032))) % 18.94/19.16 (define @t2111 () (=> @t2024 @t2110)) % 18.94/19.16 (define @t2112 () (=> @t2024 @t1004)) % 18.94/19.16 (define @t2113 () (=> @t2067 @t2112)) % 18.94/19.16 (define @t2114 () (tptp.class_Rings_Olinordered__semiring @t33)) % 18.94/19.16 (define @t2115 () (=> @t2063 @t2112)) % 18.94/19.16 (define @t2116 () (=> @t2068 @t92)) % 18.94/19.16 (define @t2117 () (tptp.hBOOL (tptp.hAPP @t65 @t1518))) % 18.94/19.16 (define @t2118 () (tptp.hBOOL (tptp.hAPP @t1963 @t64))) % 18.94/19.16 (define @t2119 () (tptp.hBOOL (tptp.hAPP @t1963 @t32))) % 18.94/19.16 (define @t2120 () (tptp.hAPP @t1239 @t64)) % 18.94/19.16 (define @t2121 () (tptp.hAPP @t2120 @t32)) % 18.94/19.16 (define @t2122 () (tptp.class_Rings_Oring__1 @t33)) % 18.94/19.16 (define @t2123 () (@var "B_d" $$unsorted)) % 18.94/19.16 (define @t2124 () (tptp.hAPP @t56 @t2123)) % 18.94/19.16 (define @t2125 () (tptp.hBOOL @t2124)) % 18.94/19.16 (define @t2126 () (= @t219 (tptp.hAPP (tptp.hAPP @t1596 @t216) @t2123))) % 18.94/19.16 (define @t2127 () (@list @t2123)) % 18.94/19.16 (define @t2128 () (tptp.hBOOL (tptp.hAPP @t56 @t1949))) % 18.94/19.16 (define @t2129 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t219) @t216))) % 18.94/19.16 (define @t2130 () (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP (tptp.hAPP @t1548 @t219) @t216)))) % 18.94/19.16 (define @t2131 () (@list @t216 @t219 @t56)) % 18.94/19.16 (define @t2132 () (not @t2128)) % 18.94/19.16 (define @t2133 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2000) @t1999))) % 18.94/19.16 (define @t2134 () (=> @t2098 @t1516)) % 18.94/19.16 (define @t2135 () (@var "V_x_H_2" $$unsorted)) % 18.94/19.16 (define @t2136 () (@var "V_g_H_2" $$unsorted)) % 18.94/19.16 (define @t2137 () (forall @t312 (=> @t1094 (=> @t764 (= @t1093 @t1949))))) % 18.94/19.16 (define @t2138 () (= @t5 @t1599)) % 18.94/19.16 (define @t2139 () (tptp.hAPP tptp.c_fequal @t219)) % 18.94/19.16 (define @t2140 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t38 @t1205) @t10) (tptp.c_If @t38))) % 18.94/19.16 (define @t2141 () (tptp.c_COMBS @t10 @t38 @t1205)) % 18.94/19.16 (define @t2142 () (tptp.c_COMBC @t10 @t38 @t38)) % 18.94/19.16 (define @t2143 () (tptp.hAPP @t2142 (tptp.hAPP (tptp.hAPP @t2141 (tptp.hAPP @t2140 @t2139)) @t216))) % 18.94/19.16 (define @t2144 () (tptp.hAPP (tptp.hAPP @t1485 (tptp.hAPP @t2143 @t2088)) @t348)) % 18.94/19.16 (define @t2145 () (tptp.hBOOL (tptp.hAPP @t250 @t348))) % 18.94/19.16 (define @t2146 () (not @t2145)) % 18.94/19.16 (define @t2147 () (tptp.hAPP @t216 @t219)) % 18.94/19.16 (define @t2148 () (@list @t216 @t219 @t348 @t10 @t38)) % 18.94/19.16 (define @t2149 () (tptp.hAPP @t2142 (tptp.hAPP (tptp.hAPP @t2141 (tptp.hAPP @t2140 @t1193)) @t216))) % 18.94/19.16 (define @t2150 () (tptp.hAPP (tptp.hAPP @t1485 (tptp.hAPP @t2149 @t2088)) @t348)) % 18.94/19.16 (define @t2151 () (@var "V_v" $$unsorted)) % 18.94/19.16 (define @t2152 () (tptp.hAPP (tptp.hAPP @t1627 (tptp.hAPP (tptp.hAPP @t1239 @t1765) @t32)) (tptp.hAPP (tptp.hAPP @t1239 @t2151) @t64))) % 18.94/19.16 (define @t2153 () (= (tptp.hAPP (tptp.hAPP @t1627 @t1765) @t2151) @t1518)) % 18.94/19.16 (define @t2154 () (tptp.hBOOL (tptp.hAPP @t1963 @t2151))) % 18.94/19.16 (define @t2155 () (tptp.hBOOL (tptp.hAPP @t1963 @t1765))) % 18.94/19.16 (define @t2156 () (@list @t2151 @t1765 @t64 @t81 @t32 @t33)) % 18.94/19.16 (define @t2157 () (tptp.hAPP @t1794 @t1798)) % 18.94/19.16 (define @t2158 () (tptp.hAPP @t2157 @t23)) % 18.94/19.16 (define @t2159 () (tptp.tc_fun tptp.tc_Nat_Onat @t25)) % 18.94/19.16 (define @t2160 () (=> @t1292 (= @t1583 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t38 @t10 @t1585) @t1) @t2088) @t23)))) % 18.94/19.16 (define @t2161 () (tptp.hAPP @t363 @t22)) % 18.94/19.16 (define @t2162 () (tptp.hAPP (tptp.hAPP @t1485 (tptp.hAPP (tptp.hAPP @t2142 (tptp.hAPP (tptp.hAPP @t2141 (tptp.hAPP @t2140 @t2161)) @t2)) @t2088)) @t23)) % 18.94/19.16 (define @t2163 () (@list @t22 @t2 @t23 @t10 @t38)) % 18.94/19.16 (define @t2164 () (tptp.hAPP @t1604 @t1548)) % 18.94/19.16 (define @t2165 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t2164 @t220)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t47) @t97))) % 18.94/19.16 (define @t2166 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t47) @t97))) % 18.94/19.16 (define @t2167 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t220) @t97))) % 18.94/19.16 (define @t2168 () (tptp.hAPP @t1548 @t47)) % 18.94/19.16 (define @t2169 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1599 @t831)) % 18.94/19.16 (define @t2170 () (tptp.hAPP @t1780 @t1599)) % 18.94/19.16 (define @t2171 () (not @t2103)) % 18.94/19.16 (define @t2172 () (tptp.hAPP (tptp.hAPP @t1627 @t1244) (tptp.hAPP @t2120 @t64))) % 18.94/19.16 (define @t2173 () (not @t2019)) % 18.94/19.16 (define @t2174 () (or (not @t1965) @t2173)) % 18.94/19.16 (define @t2175 () (tptp.hAPP (tptp.hAPP @t1594 @t1542) (tptp.hAPP (tptp.hAPP @t1212 @t97) @t97))) % 18.94/19.16 (define @t2176 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 @t38) @t1931) @t2)) % 18.94/19.16 (define @t2177 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t38 tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2178 () (tptp.class_Rings_Osemiring__1 @t10)) % 18.94/19.16 (define @t2179 () (tptp.c_COMBC @t10 @t10 @t10)) % 18.94/19.16 (define @t2180 () (@var "V_inc_2" $$unsorted)) % 18.94/19.16 (define @t2181 () (and @t1987 @t1993)) % 18.94/19.16 (define @t2182 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2183 () (tptp.hAPP @t2182 @t561)) % 18.94/19.16 (define @t2184 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2185 () (tptp.hAPP @t2182 @t831)) % 18.94/19.16 (define @t2186 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2187 () (tptp.hAPP @t2186 @t2185)) % 18.94/19.16 (define @t2188 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2189 () (tptp.hAPP @t2182 @t1949)) % 18.94/19.16 (define @t2190 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2191 () (tptp.hAPP @t2190 @t2183)) % 18.94/19.16 (define @t2192 () (tptp.hAPP @t2190 @t2188)) % 18.94/19.16 (define @t2193 () (tptp.hAPP @t2182 @t1791)) % 18.94/19.16 (define @t2194 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2195 () (tptp.hAPP @t2194 @t2193)) % 18.94/19.16 (define @t2196 () (tptp.hAPP @t2190 @t1767)) % 18.94/19.16 (define @t2197 () (tptp.hBOOL (tptp.hAPP @t2196 @t1766))) % 18.94/19.16 (define @t2198 () (tptp.hAPP @t2182 @t1845)) % 18.94/19.16 (define @t2199 () (tptp.hAPP @t2182 @t1536)) % 18.94/19.16 (define @t2200 () (tptp.hAPP @t2182 @t1537)) % 18.94/19.16 (define @t2201 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2202 () (tptp.hAPP @t2201 @t2200)) % 18.94/19.16 (define @t2203 () (tptp.hAPP (tptp.hAPP @t2194 @t2200) @t2199)) % 18.94/19.16 (define @t2204 () (tptp.hAPP @t2182 @t1860)) % 18.94/19.16 (define @t2205 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2206 () (tptp.hAPP @t2182 @t1599)) % 18.94/19.16 (define @t2207 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t10) @t2182) @t2)) % 18.94/19.16 (define @t2208 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2209 () (tptp.hAPP (tptp.hAPP @t2208 @t2207) @t23)) % 18.94/19.16 (define @t2210 () (= (= @t1972 @t1939) @t1966)) % 18.94/19.16 (define @t2211 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2212 () (tptp.hBOOL (tptp.hAPP @t1616 @t2108))) % 18.94/19.16 (define @t2213 () (tptp.hBOOL (tptp.hAPP @t56 @t1614))) % 18.94/19.16 (define @t2214 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1614) @t831))) % 18.94/19.16 (define @t2215 () (@list @t56 @t831)) % 18.94/19.16 (define @t2216 () (tptp.hBOOL (tptp.hAPP @t1616 @t2107))) % 18.94/19.16 (define @t2217 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1614) @t831))) % 18.94/19.16 (define @t2218 () (tptp.hBOOL (tptp.hAPP @t56 @t2188))) % 18.94/19.16 (define @t2219 () (tptp.hAPP @t2182 @t97)) % 18.94/19.16 (define @t2220 () (tptp.hAPP @t2182 @t47)) % 18.94/19.16 (define @t2221 () (tptp.hAPP @t1512 @t97)) % 18.94/19.16 (define @t2222 () (tptp.hAPP @t2168 @t97)) % 18.94/19.16 (define @t2223 () (tptp.hAPP @t2157 @t22)) % 18.94/19.16 (define @t2224 () (tptp.hAPP @t26 @t2158)) % 18.94/19.16 (define @t2225 () (@var "B_n" $$unsorted)) % 18.94/19.16 (define @t2226 () (tptp.hAPP (tptp.hAPP @t1794 (tptp.hAPP @t2106 (tptp.hAPP (tptp.hAPP @t1596 @t2225) @t118))) @t22)) % 18.94/19.16 (define @t2227 () (tptp.hAPP (tptp.hAPP @t1794 (tptp.hAPP @t2106 @t2225)) @t23)) % 18.94/19.16 (define @t2228 () (tptp.hAPP @t26 @t2227)) % 18.94/19.16 (define @t2229 () (@list @t2225)) % 18.94/19.16 (define @t2230 () (@list @t22 @t118 @t23 @t10)) % 18.94/19.16 (define @t2231 () (tptp.hAPP @t2184 @t2199)) % 18.94/19.16 (define @t2232 () (tptp.hAPP @t2186 @t2231)) % 18.94/19.16 (define @t2233 () (tptp.hAPP @t2186 @t2188)) % 18.94/19.16 (define @t2234 () (and (= @t561 @t2205) (= @t831 @t2205))) % 18.94/19.16 (define @t2235 () (= (tptp.hAPP (tptp.hAPP @t2194 @t561) @t831) @t2205)) % 18.94/19.16 (define @t2236 () (tptp.hAPP @t2194 @t1791)) % 18.94/19.16 (define @t2237 () (tptp.hBOOL (tptp.hAPP @t2192 @t1791))) % 18.94/19.16 (define @t2238 () (@list @t1791)) % 18.94/19.16 (define @t2239 () (tptp.hAPP @t2190 @t118)) % 18.94/19.16 (define @t2240 () (tptp.hBOOL (tptp.hAPP @t2239 @t395))) % 18.94/19.16 (define @t2241 () (@list @t395 @t118)) % 18.94/19.16 (define @t2242 () (tptp.hAPP @t2201 @t70)) % 18.94/19.16 (define @t2243 () (@list @t70)) % 18.94/19.16 (define @t2244 () (tptp.hAPP @t2182 @t2225)) % 18.94/19.16 (define @t2245 () (tptp.hAPP @t2201 @t1622)) % 18.94/19.16 (define @t2246 () (tptp.hAPP @t2186 @t1622)) % 18.94/19.16 (define @t2247 () (tptp.hBOOL (tptp.hAPP @t2246 @t513))) % 18.94/19.16 (define @t2248 () (@list @t513 @t1622)) % 18.94/19.16 (define @t2249 () (tptp.hAPP @t2184 @t70)) % 18.94/19.16 (define @t2250 () (tptp.hAPP @t2201 @t2249)) % 18.94/19.16 (define @t2251 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t395)) % 18.94/19.16 (define @t2252 () (tptp.hAPP @t2251 @t192)) % 18.94/19.16 (define @t2253 () (tptp.hAPP @t2211 @t192)) % 18.94/19.16 (define @t2254 () (tptp.hAPP @t2253 @t395)) % 18.94/19.16 (define @t2255 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t2188)) % 18.94/19.16 (define @t2256 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2257 () (tptp.hAPP @t2255 @t192)) % 18.94/19.16 (define @t2258 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2259 () (@list @t192)) % 18.94/19.16 (define @t2260 () (tptp.hAPP @t2201 @t2205)) % 18.94/19.16 (define @t2261 () (tptp.hAPP @t2260 @t70)) % 18.94/19.16 (define @t2262 () (tptp.hBOOL (tptp.hAPP @t2192 @t513))) % 18.94/19.16 (define @t2263 () (tptp.hAPP @t2186 @t2205)) % 18.94/19.16 (define @t2264 () (@list @t513)) % 18.94/19.16 (define @t2265 () (tptp.hBOOL (tptp.hAPP @t2233 @t70))) % 18.94/19.16 (define @t2266 () (tptp.hAPP @t2190 @t513)) % 18.94/19.16 (define @t2267 () (tptp.hBOOL (tptp.hAPP @t2266 @t2188))) % 18.94/19.16 (define @t2268 () (tptp.hAPP (tptp.hAPP @t2201 @t207) @t2205)) % 18.94/19.16 (define @t2269 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t207 @t1135)) % 18.94/19.16 (define @t2270 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t1135) @t207))) % 18.94/19.16 (define @t2271 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t2272 () (tptp.c_Orderings_Obot__class_Obot @t2271)) % 18.94/19.16 (define @t2273 () (tptp.hAPP @t2190 @t1622)) % 18.94/19.16 (define @t2274 () (tptp.hBOOL (tptp.hAPP @t2273 @t513))) % 18.94/19.16 (define @t2275 () (tptp.hAPP @t2211 @t513)) % 18.94/19.16 (define @t2276 () (= @t1622 @t513)) % 18.94/19.16 (define @t2277 () (tptp.hBOOL (tptp.hAPP @t2273 (tptp.hAPP (tptp.hAPP @t2201 @t513) @t2205)))) % 18.94/19.16 (define @t2278 () (@var "V_w" $$unsorted)) % 18.94/19.16 (define @t2279 () (tptp.hAPP @t2201 @t2278)) % 18.94/19.16 (define @t2280 () (@list @t70 @t2278)) % 18.94/19.16 (define @t2281 () (@var "V_z2" $$unsorted)) % 18.94/19.16 (define @t2282 () (tptp.hAPP @t2194 @t2281)) % 18.94/19.16 (define @t2283 () (tptp.hAPP @t2282 @t2278)) % 18.94/19.16 (define @t2284 () (@var "V_z1" $$unsorted)) % 18.94/19.16 (define @t2285 () (tptp.hAPP @t2194 @t2284)) % 18.94/19.16 (define @t2286 () (tptp.hAPP @t2285 @t2278)) % 18.94/19.16 (define @t2287 () (tptp.hAPP @t2201 @t2284)) % 18.94/19.16 (define @t2288 () (tptp.hAPP @t2287 @t2281)) % 18.94/19.16 (define @t2289 () (@list @t2278 @t2281 @t2284)) % 18.94/19.16 (define @t2290 () (tptp.hAPP @t2194 @t2278)) % 18.94/19.16 (define @t2291 () (tptp.hAPP @t2290 @t2281)) % 18.94/19.16 (define @t2292 () (tptp.hAPP @t2290 @t2284)) % 18.94/19.16 (define @t2293 () (@list @t2281 @t2284 @t2278)) % 18.94/19.16 (define @t2294 () (tptp.hAPP (tptp.hAPP @t2211 @t2284) @t2281)) % 18.94/19.16 (define @t2295 () (tptp.hAPP @t2184 @t2278)) % 18.94/19.16 (define @t2296 () (tptp.hAPP @t2242 @t2295)) % 18.94/19.16 (define @t2297 () (tptp.hAPP @t2211 @t70)) % 18.94/19.16 (define @t2298 () (tptp.hAPP @t2297 @t2278)) % 18.94/19.16 (define @t2299 () (@list @t2278 @t70)) % 18.94/19.16 (define @t2300 () (tptp.hAPP @t2242 @t2278)) % 18.94/19.16 (define @t2301 () (tptp.hAPP @t2201 @t1791)) % 18.94/19.16 (define @t2302 () (tptp.hAPP @t2186 @t1767)) % 18.94/19.16 (define @t2303 () (tptp.hBOOL (tptp.hAPP @t2302 @t1766))) % 18.94/19.16 (define @t2304 () (tptp.hAPP @t2279 @t70)) % 18.94/19.16 (define @t2305 () (tptp.hAPP @t2201 @t32)) % 18.94/19.16 (define @t2306 () (tptp.hAPP @t2201 @t64)) % 18.94/19.16 (define @t2307 () (@var "V_z3" $$unsorted)) % 18.94/19.16 (define @t2308 () (@list @t2307 @t2281 @t2284)) % 18.94/19.16 (define @t2309 () (tptp.hAPP @t2186 @t513)) % 18.94/19.16 (define @t2310 () (@list @t1622 @t513)) % 18.94/19.16 (define @t2311 () (@var "V_z_H" $$unsorted)) % 18.94/19.16 (define @t2312 () (@var "V_w_H" $$unsorted)) % 18.94/19.16 (define @t2313 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t2311) @t70))) % 18.94/19.16 (define @t2314 () (tptp.hAPP @t2201 @t1767)) % 18.94/19.16 (define @t2315 () (tptp.hAPP @t2190 @t64)) % 18.94/19.16 (define @t2316 () (tptp.hAPP @t2190 @t32)) % 18.94/19.16 (define @t2317 () (tptp.hAPP @t2194 @t70)) % 18.94/19.16 (define @t2318 () (tptp.hAPP @t2317 @t2278)) % 18.94/19.16 (define @t2319 () (tptp.hAPP @t2290 @t70)) % 18.94/19.16 (define @t2320 () (tptp.hAPP @t2186 @t2278)) % 18.94/19.16 (define @t2321 () (tptp.hBOOL (tptp.hAPP @t2320 @t70))) % 18.94/19.16 (define @t2322 () (tptp.hAPP @t2186 @t70)) % 18.94/19.16 (define @t2323 () (tptp.hBOOL (tptp.hAPP @t2322 @t2278))) % 18.94/19.16 (define @t2324 () (@list @t2278)) % 18.94/19.16 (define @t2325 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t395 @t192)) % 18.94/19.16 (define @t2326 () (tptp.hAPP (tptp.hAPP @t2201 @t395) @t2205)) % 18.94/19.16 (define @t2327 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t395 @t192)) % 18.94/19.16 (define @t2328 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t395 @t192)) % 18.94/19.16 (define @t2329 () (@var "V_q" $$unsorted)) % 18.94/19.16 (define @t2330 () (tptp.hAPP @t2190 @t2082)) % 18.94/19.16 (define @t2331 () (tptp.hAPP @t2194 @t81)) % 18.94/19.16 (define @t2332 () (tptp.hAPP @t2331 @t2329)) % 18.94/19.16 (define @t2333 () (= @t81 (tptp.hAPP (tptp.hAPP @t2201 @t2082) @t2332))) % 18.94/19.16 (define @t2334 () (tptp.hBOOL (tptp.hAPP @t2192 @t81))) % 18.94/19.16 (define @t2335 () (@list @t2329 @t2082 @t81)) % 18.94/19.16 (define @t2336 () (tptp.hAPP @t2186 @t2329)) % 18.94/19.16 (define @t2337 () (tptp.hBOOL (tptp.hAPP @t2233 @t2082))) % 18.94/19.16 (define @t2338 () (@var "V_q_H" $$unsorted)) % 18.94/19.16 (define @t2339 () (@var "V_b_H" $$unsorted)) % 18.94/19.16 (define @t2340 () (tptp.hBOOL (tptp.hAPP @t2192 @t2339))) % 18.94/19.16 (define @t2341 () (@var "V_r_H" $$unsorted)) % 18.94/19.16 (define @t2342 () (tptp.hAPP @t2190 @t2341)) % 18.94/19.16 (define @t2343 () (tptp.hBOOL (tptp.hAPP @t2342 @t2339))) % 18.94/19.16 (define @t2344 () (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP (tptp.hAPP @t2194 @t2339) @t2338)) @t2341)) % 18.94/19.16 (define @t2345 () (tptp.hBOOL (tptp.hAPP @t2233 @t2344))) % 18.94/19.16 (define @t2346 () (@list @t2341 @t2338 @t2339)) % 18.94/19.16 (define @t2347 () (tptp.hAPP @t2186 @t2338)) % 18.94/19.16 (define @t2348 () (tptp.hBOOL (tptp.hAPP @t2233 @t2341))) % 18.94/19.16 (define @t2349 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2344) @t2188))) % 18.94/19.16 (define @t2350 () (tptp.hBOOL (tptp.hAPP @t2347 @t2329))) % 18.94/19.16 (define @t2351 () (tptp.hBOOL (tptp.hAPP @t2330 @t85))) % 18.94/19.16 (define @t2352 () (tptp.hAPP @t2194 @t85)) % 18.94/19.16 (define @t2353 () (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t2352 @t2329)) @t2082)) % 18.94/19.16 (define @t2354 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t2352 @t2338)) @t2341)) @t2353))) % 18.94/19.16 (define @t2355 () (@list @t2082 @t2329 @t2341 @t2338 @t85)) % 18.94/19.16 (define @t2356 () (tptp.hBOOL (tptp.hAPP @t2336 @t2338))) % 18.94/19.16 (define @t2357 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t2339) @t85))) % 18.94/19.16 (define @t2358 () (= @t2353 @t2344)) % 18.94/19.16 (define @t2359 () (@list @t2341 @t2338 @t2339 @t2082 @t2329 @t85)) % 18.94/19.16 (define @t2360 () (tptp.hAPP @t2190 @t85)) % 18.94/19.16 (define @t2361 () (tptp.hBOOL (tptp.hAPP @t2360 @t2082))) % 18.94/19.16 (define @t2362 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t2082) @t2188))) % 18.94/19.16 (define @t2363 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2182)) % 18.94/19.16 (define @t2364 () (tptp.hAPP @t2363 @t23)) % 18.94/19.16 (define @t2365 () (@list @t23)) % 18.94/19.16 (define @t2366 () (tptp.hAPP (tptp.hAPP @t1752 @t32) @t64)) % 18.94/19.16 (define @t2367 () (tptp.hAPP @t2182 @t64)) % 18.94/19.16 (define @t2368 () (tptp.hAPP @t2182 @t32)) % 18.94/19.16 (define @t2369 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t47) @t97))) % 18.94/19.16 (define @t2370 () (@list @t97 @t47)) % 18.94/19.16 (define @t2371 () (tptp.hAPP @t2363 @t22)) % 18.94/19.16 (define @t2372 () (tptp.c_Orderings_Oord__class_Oless__eq @t2271)) % 18.94/19.16 (define @t2373 () (tptp.c_Orderings_Oord__class_Oless__eq @t1650)) % 18.94/19.16 (define @t2374 () (tptp.hAPP @t2373 @t23)) % 18.94/19.16 (define @t2375 () (@list @t22 @t23)) % 18.94/19.16 (define @t2376 () (tptp.c_Orderings_Oord__class_Oless @t2271)) % 18.94/19.16 (define @t2377 () (tptp.c_Orderings_Oord__class_Oless @t1650)) % 18.94/19.16 (define @t2378 () (tptp.c_member tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2379 () (tptp.hAPP @t1615 @t47)) % 18.94/19.16 (define @t2380 () (@list @t23 @t47)) % 18.94/19.16 (define @t2381 () (tptp.hAPP @t2305 @t64)) % 18.94/19.16 (define @t2382 () (tptp.hBOOL (tptp.hAPP @t2233 @t64))) % 18.94/19.16 (define @t2383 () (tptp.hBOOL (tptp.hAPP @t2233 @t32))) % 18.94/19.16 (define @t2384 () (tptp.hAPP @t2182 @t70)) % 18.94/19.16 (define @t2385 () (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t2182 @t3)))) % 18.94/19.16 (define @t2386 () (tptp.hBOOL (tptp.hAPP @t2233 @t3))) % 18.94/19.16 (define @t2387 () (@list @t56)) % 18.94/19.16 (define @t2388 () (tptp.hAPP (tptp.hAPP @t2194 @t32) @t64)) % 18.94/19.16 (define @t2389 () (tptp.hAPP @t2201 @t3)) % 18.94/19.16 (define @t2390 () (tptp.hAPP @t2389 @t523)) % 18.94/19.16 (define @t2391 () (tptp.hAPP @t2186 @t909)) % 18.94/19.16 (define @t2392 () (tptp.hBOOL (tptp.hAPP @t2391 @t3))) % 18.94/19.16 (define @t2393 () (@var "B_xb" $$unsorted)) % 18.94/19.16 (define @t2394 () (tptp.hAPP @t2378 @t2393)) % 18.94/19.16 (define @t2395 () (@list @t2393)) % 18.94/19.16 (define @t2396 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2205 @t523)) % 18.94/19.16 (define @t2397 () (tptp.hAPP @t2378 @t309)) % 18.94/19.16 (define @t2398 () (tptp.hBOOL (tptp.hAPP @t2397 @t2396))) % 18.94/19.16 (define @t2399 () (forall @t312 (=> @t2398 (forall @t2395 (=> (tptp.hBOOL (tptp.hAPP @t2394 @t23)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t2211 @t2393) @t309)))))))) % 18.94/19.16 (define @t2400 () (tptp.hBOOL (tptp.hAPP @t2192 @t523))) % 18.94/19.16 (define @t2401 () (@list @t909 @t23 @t523)) % 18.94/19.16 (define @t2402 () (tptp.hAPP @t2211 @t3)) % 18.94/19.16 (define @t2403 () (tptp.hAPP @t2402 @t523)) % 18.94/19.16 (define @t2404 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t3) @t909))) % 18.94/19.16 (define @t2405 () (forall @t312 (=> @t2398 (forall @t2395 (=> (tptp.hBOOL (tptp.hAPP @t2394 @t22)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t2201 @t2393) @t309)))))))) % 18.94/19.16 (define @t2406 () (@list @t909 @t22 @t523)) % 18.94/19.16 (define @t2407 () (tptp.hAPP @t2201 @t909)) % 18.94/19.16 (define @t2408 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2378 (tptp.hAPP @t2407 @t2205)) @t23))) % 18.94/19.16 (define @t2409 () (@list @t23 @t909 @t523)) % 18.94/19.16 (define @t2410 () (tptp.hAPP @t2211 @t909)) % 18.94/19.16 (define @t2411 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2378 (tptp.hAPP @t2410 @t2205)) @t22))) % 18.94/19.16 (define @t2412 () (@list @t22 @t909 @t523)) % 18.94/19.16 (define @t2413 () (tptp.hAPP @t39 @t1487)) % 18.94/19.16 (define @t2414 () (tptp.hBOOL (tptp.hAPP @t2413 @t1563))) % 18.94/19.16 (define @t2415 () (tptp.hAPP @t39 @t2088)) % 18.94/19.16 (define @t2416 () (@list @t2 @t23 @t22 @t10 @t38)) % 18.94/19.16 (define @t2417 () (tptp.hAPP @t2378 @t3)) % 18.94/19.16 (define @t2418 () (@list @t3 @t1883)) % 18.94/19.16 (define @t2419 () (tptp.hAPP @t2192 @t215)) % 18.94/19.16 (define @t2420 () (tptp.hBOOL @t2419)) % 18.94/19.16 (define @t2421 () (not (= @t3 @t909))) % 18.94/19.16 (define @t2422 () (tptp.hAPP @t2378 @t909)) % 18.94/19.16 (define @t2423 () (tptp.hBOOL (tptp.hAPP @t2422 @t23))) % 18.94/19.16 (define @t2424 () (tptp.hBOOL (tptp.hAPP @t2422 @t22))) % 18.94/19.16 (define @t2425 () (tptp.hAPP @t2190 @t909)) % 18.94/19.16 (define @t2426 () (tptp.hBOOL (tptp.hAPP @t2425 @t3))) % 18.94/19.16 (define @t2427 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3) @t909))) % 18.94/19.16 (define @t2428 () (tptp.hBOOL (tptp.hAPP @t2417 @t2396))) % 18.94/19.16 (define @t2429 () (tptp.hAPP @t1486 @t1572)) % 18.94/19.16 (define @t2430 () (tptp.hAPP @t1486 @t348)) % 18.94/19.16 (define @t2431 () (= @t5 @t2088)) % 18.94/19.16 (define @t2432 () (tptp.hBOOL (tptp.hAPP @t317 @t603))) % 18.94/19.16 (define @t2433 () (tptp.hBOOL (tptp.hAPP @t2415 @t5))) % 18.94/19.16 (define @t2434 () (tptp.class_Groups_Oordered__ab__semigroup__add @t38)) % 18.94/19.16 (define @t2435 () (= @t5 @t1106)) % 18.94/19.16 (define @t2436 () (= @t3 @t195)) % 18.94/19.16 (define @t2437 () (tptp.hAPP @t210 @t195)) % 18.94/19.16 (define @t2438 () (tptp.c_Nat__Transfer_Otsub @t32 @t64)) % 18.94/19.16 (define @t2439 () (tptp.hAPP @t2186 @t64)) % 18.94/19.16 (define @t2440 () (tptp.hBOOL (tptp.hAPP @t2439 @t32))) % 18.94/19.16 (define @t2441 () (tptp.hAPP @t2211 @t32)) % 18.94/19.16 (define @t2442 () (tptp.hAPP @t2441 @t64)) % 18.94/19.16 (define @t2443 () (=> @t2440 (= @t2438 @t2442))) % 18.94/19.16 (define @t2444 () (@list @t32 @t64)) % 18.94/19.16 (define @t2445 () (tptp.hAPP (tptp.hAPP @t1594 (tptp.hAPP @t1936 @t219)) @t219)) % 18.94/19.16 (define @t2446 () (tptp.c_Int_Oring__1__class_OInts @t10)) % 18.94/19.16 (define @t2447 () (tptp.hBOOL (tptp.hAPP @t250 @t2446))) % 18.94/19.16 (define @t2448 () (tptp.hAPP @t1596 @t219)) % 18.94/19.16 (define @t2449 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2450 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2451 () (tptp.hAPP tptp.c_Nat_OSuc @t1949)) % 18.94/19.16 (define @t2452 () (tptp.hAPP tptp.c_Nat_OSuc @t2451)) % 18.94/19.16 (define @t2453 () (@list @t831 @t215 @t219)) % 18.94/19.16 (define @t2454 () (tptp.c_Finite__Set_Ocard @t10)) % 18.94/19.16 (define @t2455 () (tptp.hAPP @t2454 @t23)) % 18.94/19.16 (define @t2456 () (tptp.hAPP @t1548 @t2455)) % 18.94/19.16 (define @t2457 () (tptp.hAPP @t2454 @t912)) % 18.94/19.16 (define @t2458 () (=> @t335 (= @t2457 (tptp.hAPP @t2456 @t1599)))) % 18.94/19.16 (define @t2459 () (tptp.hAPP tptp.c_Nat_OSuc @t1536)) % 18.94/19.16 (define @t2460 () (tptp.hAPP tptp.c_Nat_OSuc @t1537)) % 18.94/19.16 (define @t2461 () (tptp.hAPP @t1754 @t2460)) % 18.94/19.16 (define @t2462 () (tptp.hBOOL (tptp.hAPP @t2461 @t2459))) % 18.94/19.16 (define @t2463 () (tptp.hAPP @t2184 (tptp.hAPP @t2182 @t2459))) % 18.94/19.16 (define @t2464 () (tptp.hAPP @t2190 @t2463)) % 18.94/19.16 (define @t2465 () (tptp.hAPP tptp.c_Nat_OSuc @t192)) % 18.94/19.16 (define @t2466 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2467 () (@var "V_nat_H_2" $$unsorted)) % 18.94/19.16 (define @t2468 () (@var "V_nat_2" $$unsorted)) % 18.94/19.16 (define @t2469 () (tptp.hAPP tptp.c_Nat_OSuc @t2468)) % 18.94/19.16 (define @t2470 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2471 () (tptp.hAPP @t2466 @t23)) % 18.94/19.16 (define @t2472 () (tptp.hAPP tptp.c_Nat_OSuc @t2225)) % 18.94/19.16 (define @t2473 () (tptp.hAPP @t2 @t2225)) % 18.94/19.16 (define @t2474 () (@var "V_nat_H_1" $$unsorted)) % 18.94/19.16 (define @t2475 () (@var "V_nat_H" $$unsorted)) % 18.94/19.16 (define @t2476 () (tptp.hAPP tptp.c_Nat_OSuc @t561)) % 18.94/19.16 (define @t2477 () (tptp.hBOOL (tptp.hAPP @t1822 @t2476))) % 18.94/19.16 (define @t2478 () (tptp.hAPP tptp.c_Nat_OSuc @t831)) % 18.94/19.16 (define @t2479 () (tptp.hBOOL (tptp.hAPP @t1755 @t2478))) % 18.94/19.16 (define @t2480 () (= @t831 @t561)) % 18.94/19.16 (define @t2481 () (= @t2477 @t2480)) % 18.94/19.16 (define @t2482 () (not @t1823)) % 18.94/19.16 (define @t2483 () (tptp.hBOOL (tptp.hAPP @t1864 @t2459))) % 18.94/19.16 (define @t2484 () (tptp.hBOOL (tptp.hAPP @t2461 @t1536))) % 18.94/19.16 (define @t2485 () (tptp.hAPP tptp.c_Nat_OSuc @t1767)) % 18.94/19.16 (define @t2486 () (tptp.hAPP @t1844 @t2459)) % 18.94/19.16 (define @t2487 () (tptp.hAPP (tptp.hAPP @t1596 @t2460) @t1536)) % 18.94/19.16 (define @t2488 () (tptp.hAPP tptp.c_Nat_OSuc @t1845)) % 18.94/19.16 (define @t2489 () (tptp.hAPP @t1512 @t2478)) % 18.94/19.16 (define @t2490 () (tptp.hBOOL (tptp.hAPP @t2489 @t561))) % 18.94/19.16 (define @t2491 () (tptp.hBOOL (tptp.hAPP @t1515 @t2478))) % 18.94/19.16 (define @t2492 () (tptp.hBOOL (tptp.hAPP @t1513 @t561))) % 18.94/19.16 (define @t2493 () (tptp.hBOOL (tptp.hAPP @t1853 @t2459))) % 18.94/19.16 (define @t2494 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2460) @t1536))) % 18.94/19.16 (define @t2495 () (tptp.c_Finite__Set_Ocard @t38)) % 18.94/19.16 (define @t2496 () (tptp.hAPP @t2495 @t22)) % 18.94/19.16 (define @t2497 () (= @t2455 @t2496)) % 18.94/19.16 (define @t2498 () (tptp.hAPP @t1548 @t2460)) % 18.94/19.16 (define @t2499 () (tptp.hAPP @t2498 @t1536)) % 18.94/19.16 (define @t2500 () (tptp.hAPP tptp.c_Nat_OSuc @t118)) % 18.94/19.16 (define @t2501 () (tptp.hAPP @t1752 @t2500)) % 18.94/19.16 (define @t2502 () (tptp.hAPP @t2501 @t831)) % 18.94/19.16 (define @t2503 () (tptp.hAPP @t2501 @t561)) % 18.94/19.16 (define @t2504 () (tptp.hAPP tptp.c_Nat_OSuc @t395)) % 18.94/19.16 (define @t2505 () (tptp.hAPP @t1548 @t192)) % 18.94/19.16 (define @t2506 () (tptp.hAPP @t2454 @t858)) % 18.94/19.16 (define @t2507 () (=> @t874 (= @t2506 (tptp.hAPP tptp.c_Nat_OSuc @t2455)))) % 18.94/19.16 (define @t2508 () (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat @t56)) % 18.94/19.16 (define @t2509 () (tptp.hBOOL @t1836)) % 18.94/19.16 (define @t2510 () (@list @t831 @t56)) % 18.94/19.16 (define @t2511 () (tptp.hAPP tptp.c_Nat_OSuc @t2457)) % 18.94/19.16 (define @t2512 () (= @t2455 @t1949)) % 18.94/19.16 (define @t2513 () (=> @t2089 @t2512)) % 18.94/19.16 (define @t2514 () (tptp.hAPP @t2454 @t600)) % 18.94/19.16 (define @t2515 () (tptp.hAPP @t2495 @t660)) % 18.94/19.16 (define @t2516 () (= @t2515 @t2455)) % 18.94/19.16 (define @t2517 () (@var "B_j" $$unsorted)) % 18.94/19.16 (define @t2518 () (tptp.hAPP @t1754 @t2517)) % 18.94/19.16 (define @t2519 () (@list @t2517)) % 18.94/19.16 (define @t2520 () (= @t831 (tptp.hAPP tptp.c_Nat_OSuc @t1614))) % 18.94/19.16 (define @t2521 () (= @t831 @t2451)) % 18.94/19.16 (define @t2522 () (= @t561 @t2451)) % 18.94/19.16 (define @t2523 () (or (and @t2522 @t1987) (and @t1993 @t2521))) % 18.94/19.16 (define @t2524 () (tptp.hAPP @t1792 @t1537)) % 18.94/19.16 (define @t2525 () (@list @t1537 @t1767)) % 18.94/19.16 (define @t2526 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2476) @t831))) % 18.94/19.16 (define @t2527 () (tptp.hAPP @t2505 @t395)) % 18.94/19.16 (define @t2528 () (tptp.hAPP @t1842 @t1599)) % 18.94/19.16 (define @t2529 () (tptp.hAPP @t1596 @t1599)) % 18.94/19.16 (define @t2530 () (tptp.hAPP @t2529 @t1536)) % 18.94/19.16 (define @t2531 () (tptp.hAPP @t2450 @t2)) % 18.94/19.16 (define @t2532 () (tptp.hAPP @t2 @t1949)) % 18.94/19.16 (define @t2533 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t10) @t1599)) % 18.94/19.16 (define @t2534 () (tptp.hAPP @t1787 @t2500)) % 18.94/19.16 (define @t2535 () (tptp.hAPP @t2007 @t118)) % 18.94/19.16 (define @t2536 () (tptp.hAPP tptp.c_Nat_OSuc @t1135)) % 18.94/19.16 (define @t2537 () (tptp.hAPP tptp.c_Nat_OSuc @t207)) % 18.94/19.16 (define @t2538 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 18.94/19.16 (define @t2539 () (@list @t1135 @t207)) % 18.94/19.16 (define @t2540 () (tptp.hAPP @t2007 @t2500)) % 18.94/19.16 (define @t2541 () (tptp.hAPP @t1505 (tptp.hAPP @t1607 tptp.c_Nat_OSuc))) % 18.94/19.16 (define @t2542 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2476)) % 18.94/19.16 (define @t2543 () (@list @t831 @t561 @t2 @t10)) % 18.94/19.16 (define @t2544 () (tptp.hBOOL (tptp.hAPP @t1951 @t2455))) % 18.94/19.16 (define @t2545 () (tptp.hAPP @t1512 @t2455)) % 18.94/19.16 (define @t2546 () (tptp.hAPP @t2454 @t22)) % 18.94/19.16 (define @t2547 () (tptp.hAPP @t210 @t1939)) % 18.94/19.16 (define @t2548 () (tptp.class_Rings_Oring__1 @t10)) % 18.94/19.16 (define @t2549 () (tptp.hAPP @t2495 @t23)) % 18.94/19.16 (define @t2550 () (tptp.hAPP @t210 @t1669)) % 18.94/19.16 (define @t2551 () (tptp.hBOOL (tptp.hAPP @t287 @t2446))) % 18.94/19.16 (define @t2552 () (tptp.hAPP @t210 @t1978)) % 18.94/19.16 (define @t2553 () (tptp.hAPP @t210 @t1494)) % 18.94/19.16 (define @t2554 () (tptp.hAPP @t210 @t1932)) % 18.94/19.16 (define @t2555 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t2455) @t2546))) % 18.94/19.16 (define @t2556 () (tptp.hAPP @t1754 @t2451)) % 18.94/19.16 (define @t2557 () (tptp.hBOOL (tptp.hAPP @t2556 @t1537))) % 18.94/19.16 (define @t2558 () (tptp.hBOOL (tptp.hAPP @t2556 @t1536))) % 18.94/19.16 (define @t2559 () (tptp.hAPP @t1512 @t2451)) % 18.94/19.16 (define @t2560 () (tptp.hAPP tptp.c_Nat_OSuc @t1766)) % 18.94/19.16 (define @t2561 () (tptp.hAPP tptp.c_Nat_OSuc @t1799)) % 18.94/19.16 (define @t2562 () (@list @t1537 @t1766 @t1791)) % 18.94/19.16 (define @t2563 () (tptp.hAPP @t2182 @t2472)) % 18.94/19.16 (define @t2564 () (tptp.hAPP @t1817 @t118)) % 18.94/19.16 (define @t2565 () (tptp.hAPP @t1819 @t2500)) % 18.94/19.16 (define @t2566 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t561 @t2478)) % 18.94/19.16 (define @t2567 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t118) (tptp.hAPP @t1809 @t2471))) % 18.94/19.16 (define @t2568 () (tptp.hAPP @t2 @t831)) % 18.94/19.16 (define @t2569 () (tptp.hAPP @t1787 @t2478)) % 18.94/19.16 (define @t2570 () (@list @t831 @t2 @t10)) % 18.94/19.16 (define @t2571 () (tptp.hAPP @t2454 @t603)) % 18.94/19.16 (define @t2572 () (tptp.hAPP @t2454 @t458)) % 18.94/19.16 (define @t2573 () (tptp.hAPP (tptp.hAPP @t1596 @t2572) @t2571)) % 18.94/19.16 (define @t2574 () (tptp.hAPP @t1596 @t2455)) % 18.94/19.16 (define @t2575 () (tptp.hAPP @t2574 @t2546)) % 18.94/19.16 (define @t2576 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t1344 @t22)) @t23))) % 18.94/19.16 (define @t2577 () (tptp.c_Fun_Oinj__on @t38 @t10 @t1 @t22)) % 18.94/19.16 (define @t2578 () (@list @t1 @t22 @t23 @t2 @t38 @t10)) % 18.94/19.16 (define @t2579 () (tptp.hAPP @t2 @t2478)) % 18.94/19.16 (define @t2580 () (tptp.hAPP @t2456 @t2546)) % 18.94/19.16 (define @t2581 () (tptp.hAPP @t2454 @t845)) % 18.94/19.16 (define @t2582 () (tptp.hAPP @t1906 @t1599)) % 18.94/19.16 (define @t2583 () (tptp.hAPP tptp.c_Nat_OSuc @t2582)) % 18.94/19.16 (define @t2584 () (tptp.c_Groups_Ominus__class_Ominus @t1650)) % 18.94/19.16 (define @t2585 () (=> @t1292 (= @t2455 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t10 @t1596) @t2533) @t1949) @t23)))) % 18.94/19.16 (define @t2586 () (tptp.class_Int_Oring__char__0 @t10)) % 18.94/19.16 (define @t2587 () (tptp.hAPP @t1594 @t1942)) % 18.94/19.16 (define @t2588 () (tptp.hAPP @t1508 @t2478)) % 18.94/19.16 (define @t2589 () (= @t2572 @t2575)) % 18.94/19.16 (define @t2590 () (tptp.hBOOL (tptp.hAPP @t2545 @t2496))) % 18.94/19.16 (define @t2591 () (tptp.hAPP @t1506 @t2588)) % 18.94/19.16 (define @t2592 () (@list @t2 @t561 @t831 @t10)) % 18.94/19.16 (define @t2593 () (tptp.hAPP @t1506 @t2566)) % 18.94/19.16 (define @t2594 () (tptp.hAPP @t1754 @t2478)) % 18.94/19.16 (define @t2595 () (tptp.hBOOL (tptp.hAPP @t2594 @t561))) % 18.94/19.16 (define @t2596 () (tptp.hAPP @t870 @t749)) % 18.94/19.16 (define @t2597 () (tptp.hAPP @t2529 @t2457)) % 18.94/19.16 (define @t2598 () (= @t1599 @t1949)) % 18.94/19.16 (define @t2599 () (@var "V_K_2" $$unsorted)) % 18.94/19.16 (define @t2600 () (tptp.hAPP @t2 @t452)) % 18.94/19.16 (define @t2601 () (@var "B_B" $$unsorted)) % 18.94/19.16 (define @t2602 () (tptp.c_Sum__Type_OPlus @t10 @t38 @t23 @t22)) % 18.94/19.16 (define @t2603 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t1328) @t2602)) % 18.94/19.16 (define @t2604 () (and @t1292 @t1340)) % 18.94/19.16 (define @t2605 () (= @t2603 (tptp.hAPP @t2574 @t2496))) % 18.94/19.16 (define @t2606 () (tptp.hAPP tptp.c_Int_Onat @t192)) % 18.94/19.16 (define @t2607 () (tptp.hAPP @t2 @t207)) % 18.94/19.16 (define @t2608 () (@var "V_s_2" $$unsorted)) % 18.94/19.16 (define @t2609 () (tptp.hBOOL (tptp.hAPP @t211 @t2608))) % 18.94/19.16 (define @t2610 () (tptp.hAPP @t1486 @t2608)) % 18.94/19.16 (define @t2611 () (forall @t456 (=> (tptp.hBOOL (tptp.hAPP @t454 @t2608)) (tptp.hBOOL (tptp.hAPP @t2415 @t2600))))) % 18.94/19.16 (define @t2612 () (tptp.hBOOL (tptp.hAPP @t1291 @t2608))) % 18.94/19.16 (define @t2613 () (tptp.class_Groups_Oordered__ab__group__add @t38)) % 18.94/19.16 (define @t2614 () (tptp.hAPP tptp.c_Int_Onat @t2188)) % 18.94/19.16 (define @t2615 () (@var "V_z_H_2" $$unsorted)) % 18.94/19.16 (define @t2616 () (tptp.hAPP tptp.c_Int_Onat @t2615)) % 18.94/19.16 (define @t2617 () (tptp.hAPP tptp.c_Int_Onat @t513)) % 18.94/19.16 (define @t2618 () (tptp.hBOOL (tptp.hAPP @t2233 @t513))) % 18.94/19.16 (define @t2619 () (tptp.hAPP tptp.c_Int_Onat @t97)) % 18.94/19.16 (define @t2620 () (tptp.hAPP tptp.c_Int_Onat @t47)) % 18.94/19.16 (define @t2621 () (tptp.hBOOL (tptp.hAPP @t2233 @t97))) % 18.94/19.16 (define @t2622 () (tptp.hBOOL (tptp.hAPP @t2233 @t47))) % 18.94/19.16 (define @t2623 () (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 18.94/19.16 (define @t2624 () (tptp.hAPP tptp.c_Int_Onat @t2205)) % 18.94/19.16 (define @t2625 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 18.94/19.16 (define @t2626 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2271)) % 18.94/19.16 (define @t2627 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1650)) % 18.94/19.16 (define @t2628 () (tptp.hAPP tptp.c_Int_Onat @t2254)) % 18.94/19.16 (define @t2629 () (tptp.hAPP @t2186 @t207)) % 18.94/19.16 (define @t2630 () (tptp.hBOOL (tptp.hAPP @t2629 @t2188))) % 18.94/19.16 (define @t2631 () (tptp.hAPP tptp.c_Int_Onat @t207)) % 18.94/19.16 (define @t2632 () (@list @t207)) % 18.94/19.16 (define @t2633 () (tptp.hAPP tptp.c_Int_Onat @t70)) % 18.94/19.16 (define @t2634 () (= @t2633 @t1949)) % 18.94/19.16 (define @t2635 () (tptp.hBOOL (tptp.hAPP @t2322 @t2188))) % 18.94/19.16 (define @t2636 () (tptp.hAPP tptp.c_Int_Onat @t1622)) % 18.94/19.16 (define @t2637 () (tptp.hAPP @t1754 @t2636)) % 18.94/19.16 (define @t2638 () (tptp.hBOOL (tptp.hAPP @t2637 @t2617))) % 18.94/19.16 (define @t2639 () (= @t2638 @t2274)) % 18.94/19.16 (define @t2640 () (tptp.hAPP @t2186 @t47)) % 18.94/19.16 (define @t2641 () (tptp.hBOOL (tptp.hAPP @t2640 @t97))) % 18.94/19.16 (define @t2642 () (tptp.hAPP @t2182 @t2633)) % 18.94/19.16 (define @t2643 () (= @t2642 @t70)) % 18.94/19.16 (define @t2644 () (=> @t2265 @t2643)) % 18.94/19.16 (define @t2645 () (@list @t513 @t561)) % 18.94/19.16 (define @t2646 () (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2647 () (tptp.hAPP @t2646 @t2)) % 18.94/19.16 (define @t2648 () (tptp.hAPP @t2647 tptp.c_Int_Onat)) % 18.94/19.16 (define @t2649 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t10)) % 18.94/19.16 (define @t2650 () (tptp.class_Groups_Ocomm__monoid__mult @t10)) % 18.94/19.16 (define @t2651 () (and @t1502 @t2650)) % 18.94/19.16 (define @t2652 () (tptp.hBOOL (tptp.hAPP @t2233 @t1622))) % 18.94/19.16 (define @t2653 () (tptp.hAPP @t2190 @t47)) % 18.94/19.16 (define @t2654 () (tptp.hBOOL (tptp.hAPP @t2653 @t97))) % 18.94/19.16 (define @t2655 () (and (=> @t2652 (= @t1622 @t2183)) (=> (not @t2652) @t1993))) % 18.94/19.16 (define @t2656 () (@list @t561 @t1622)) % 18.94/19.16 (define @t2657 () (tptp.hAPP @t2190 @t207)) % 18.94/19.16 (define @t2658 () (@list @t207 @t56)) % 18.94/19.16 (define @t2659 () (tptp.hAPP tptp.c_Int_Onat @t2311)) % 18.94/19.16 (define @t2660 () (tptp.hBOOL (tptp.hAPP @t2233 @t2311))) % 18.94/19.16 (define @t2661 () (@list @t2311 @t70)) % 18.94/19.16 (define @t2662 () (tptp.hAPP tptp.c_Int_Onat @t64)) % 18.94/19.16 (define @t2663 () (tptp.hAPP tptp.c_Int_Onat @t32)) % 18.94/19.16 (define @t2664 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2317 @t2311))) % 18.94/19.16 (define @t2665 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2271)) % 18.94/19.16 (define @t2666 () (tptp.hBOOL (tptp.hAPP @t1331 @t2602))) % 18.94/19.16 (define @t2667 () (tptp.hAPP @t2190 @t2205)) % 18.94/19.16 (define @t2668 () (= @t22 @t758)) % 18.94/19.16 (define @t2669 () (tptp.c_Nat__Transfer_Ois__nat @t64)) % 18.94/19.16 (define @t2670 () (tptp.c_Nat__Transfer_Ois__nat @t32)) % 18.94/19.16 (define @t2671 () (tptp.c_Nat__Transfer_Ois__nat @t47)) % 18.94/19.16 (define @t2672 () (@list @t47)) % 18.94/19.16 (define @t2673 () (tptp.hAPP @t2625 @t22)) % 18.94/19.16 (define @t2674 () (tptp.hAPP @t2625 @t23)) % 18.94/19.16 (define @t2675 () (tptp.hAPP (tptp.hAPP @t2626 @t23) @t22)) % 18.94/19.16 (define @t2676 () (tptp.c_Nat__Transfer_Onat__set @t22)) % 18.94/19.16 (define @t2677 () (tptp.c_Nat__Transfer_Onat__set @t23)) % 18.94/19.16 (define @t2678 () (tptp.hAPP (tptp.hAPP @t2665 @t23) @t22)) % 18.94/19.16 (define @t2679 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t10) tptp.c_Int_Onat) @t2)) % 18.94/19.16 (define @t2680 () (forall @t7 (=> @t326 (tptp.c_Nat__Transfer_Ois__nat @t5)))) % 18.94/19.16 (define @t2681 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t10 tptp.tc_Nat_Onat) @t2) @t2182)) % 18.94/19.16 (define @t2682 () (tptp.hAPP @t2649 @t2)) % 18.94/19.16 (define @t2683 () (tptp.hAPP @t2682 @t23)) % 18.94/19.16 (define @t2684 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t47 @t97))) % 18.94/19.16 (define @t2685 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2378 @t47) @t23))) % 18.94/19.16 (define @t2686 () (@list @t47 @t23)) % 18.94/19.16 (define @t2687 () (tptp.c_Int_Oring__1__class_Oof__int @t33)) % 18.94/19.16 (define @t2688 () (tptp.hAPP @t2687 @t1791)) % 18.94/19.16 (define @t2689 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t1791) @t2188))) % 18.94/19.16 (define @t2690 () (tptp.hAPP @t2184 @t1791)) % 18.94/19.16 (define @t2691 () (@list @t1791 @t33)) % 18.94/19.16 (define @t2692 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2693 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2694 () (tptp.hAPP @t53 @t3)) % 18.94/19.16 (define @t2695 () (tptp.hAPP @t2194 @t118)) % 18.94/19.16 (define @t2696 () (tptp.hAPP @t2695 @t215)) % 18.94/19.16 (define @t2697 () (tptp.hAPP @t2233 @t118)) % 18.94/19.16 (define @t2698 () (tptp.hBOOL @t2697)) % 18.94/19.16 (define @t2699 () (@list @t118 @t56 @t215)) % 18.94/19.16 (define @t2700 () (@list @t32)) % 18.94/19.16 (define @t2701 () (tptp.c_Int_Oring__1__class_Oof__int @t10)) % 18.94/19.16 (define @t2702 () (tptp.hAPP @t2701 @t513)) % 18.94/19.16 (define @t2703 () (tptp.hAPP @t2701 @t1622)) % 18.94/19.16 (define @t2704 () (@list @t513 @t1622 @t10)) % 18.94/19.16 (define @t2705 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2706 () (= @t513 @t2188)) % 18.94/19.16 (define @t2707 () (@list @t513 @t10)) % 18.94/19.16 (define @t2708 () (tptp.hAPP @t2687 @t70)) % 18.94/19.16 (define @t2709 () (tptp.hAPP @t2687 @t2278)) % 18.94/19.16 (define @t2710 () (@list @t70 @t2278 @t33)) % 18.94/19.16 (define @t2711 () (@list @t70 @t33)) % 18.94/19.16 (define @t2712 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t10 @t38) @t2701) @t2)) % 18.94/19.16 (define @t2713 () (tptp.hAPP @t56 @t452)) % 18.94/19.16 (define @t2714 () (tptp.hBOOL @t2713)) % 18.94/19.16 (define @t2715 () (tptp.hAPP @t1512 @t452)) % 18.94/19.16 (define @t2716 () (tptp.hBOOL (tptp.hAPP @t1951 @t2225))) % 18.94/19.16 (define @t2717 () (tptp.hBOOL (tptp.hAPP @t317 (tptp.hAPP (tptp.hAPP @t843 @t1572) @t348)))) % 18.94/19.16 (define @t2718 () (forall @t7 (=> @t2717 @t2431))) % 18.94/19.16 (define @t2719 () (tptp.hAPP @t26 @t348)) % 18.94/19.16 (define @t2720 () (tptp.hBOOL (tptp.hAPP @t2719 @t1572))) % 18.94/19.16 (define @t2721 () (@list @t2 @t348 @t1572 @t10 @t38)) % 18.94/19.16 (define @t2722 () (tptp.c_Groups_Osgn__class_Osgn @t33 @t32)) % 18.94/19.16 (define @t2723 () (tptp.hBOOL (tptp.hAPP @t2051 @t32))) % 18.94/19.16 (define @t2724 () (= @t32 @t1955)) % 18.94/19.16 (define @t2725 () (tptp.class_Groups_Osgn__if @t33)) % 18.94/19.16 (define @t2726 () (tptp.c_Groups_Osgn__class_Osgn @t33 @t81)) % 18.94/19.16 (define @t2727 () (tptp.c_Groups_Osgn__class_Osgn @t10 @t219)) % 18.94/19.16 (define @t2728 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2729 () (tptp.hAPP (tptp.hAPP @t2194 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t2728 (tptp.hAPP @t2441 @t70))) @t2205)) @t504)) % 18.94/19.16 (define @t2730 () (tptp.hBOOL (tptp.hAPP @t2192 @t504))) % 18.94/19.16 (define @t2731 () (tptp.c_Groups_Oabs__class_Oabs @t10)) % 18.94/19.16 (define @t2732 () (tptp.hAPP (tptp.hAPP @t1524 @t2731) @t2)) % 18.94/19.16 (define @t2733 () (tptp.hAPP (tptp.hAPP @t1496 @t2732) @t23)) % 18.94/19.16 (define @t2734 () (tptp.class_Groups_Oordered__ab__group__add__abs @t10)) % 18.94/19.16 (define @t2735 () (tptp.c_Groups_Oabs__class_Oabs @t33)) % 18.94/19.16 (define @t2736 () (tptp.hAPP @t2735 @t85)) % 18.94/19.16 (define @t2737 () (tptp.hAPP @t2735 @t81)) % 18.94/19.16 (define @t2738 () (tptp.hAPP (tptp.hAPP @t1627 @t2737) @t2736)) % 18.94/19.16 (define @t2739 () (tptp.class_Groups_Oordered__ab__group__add__abs @t33)) % 18.94/19.16 (define @t2740 () (tptp.hAPP @t1239 @t2737)) % 18.94/19.16 (define @t2741 () (tptp.hAPP @t2740 @t2736)) % 18.94/19.16 (define @t2742 () (= (tptp.hAPP @t2735 @t1245) @t2741)) % 18.94/19.16 (define @t2743 () (tptp.hAPP @t2735 @t879)) % 18.94/19.16 (define @t2744 () (tptp.hAPP @t2735 @t881)) % 18.94/19.16 (define @t2745 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t2737) @t85))) % 18.94/19.16 (define @t2746 () (tptp.hAPP @t2735 @t32)) % 18.94/19.16 (define @t2747 () (tptp.hAPP @t2731 @t219)) % 18.94/19.16 (define @t2748 () (= @t2737 @t81)) % 18.94/19.16 (define @t2749 () (tptp.hAPP @t99 @t2747)) % 18.94/19.16 (define @t2750 () (not @t1966)) % 18.94/19.16 (define @t2751 () (tptp.hAPP @t986 @t2737)) % 18.94/19.16 (define @t2752 () (tptp.hAPP (tptp.hAPP @t877 @t2737) @t2736)) % 18.94/19.16 (define @t2753 () (tptp.hAPP @t34 @t2752)) % 18.94/19.16 (define @t2754 () (tptp.hAPP @t34 @t408)) % 18.94/19.16 (define @t2755 () (tptp.hBOOL (tptp.hAPP @t2754 @t85))) % 18.94/19.16 (define @t2756 () (tptp.hAPP (tptp.hAPP @t2194 @t1537) @t1536)) % 18.94/19.16 (define @t2757 () (= @t2737 @t408)) % 18.94/19.16 (define @t2758 () (=> @t2062 @t2757)) % 18.94/19.16 (define @t2759 () (tptp.hAPP @t2728 @t1767)) % 18.94/19.16 (define @t2760 () (tptp.hBOOL (tptp.hAPP @t2196 @t2188))) % 18.94/19.16 (define @t2761 () (@list @t1767)) % 18.94/19.16 (define @t2762 () (tptp.hAPP @t2184 @t2205)) % 18.94/19.16 (define @t2763 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1767)) % 18.94/19.16 (define @t2764 () (tptp.hBOOL (tptp.hAPP @t2192 @t1767))) % 18.94/19.16 (define @t2765 () (= @t1767 @t2188)) % 18.94/19.16 (define @t2766 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2728 @t64))) % 18.94/19.16 (define @t2767 () (tptp.hAPP @t2728 @t32)) % 18.94/19.16 (define @t2768 () (tptp.hAPP tptp.c_Int_Onat @t2767)) % 18.94/19.16 (define @t2769 () (forall @t7 (=> @t2386 @t6))) % 18.94/19.16 (define @t2770 () (@list @t1 @t2 @t22 @t23 @t10)) % 18.94/19.16 (define @t2771 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2772 () (= @t2600 @t118)) % 18.94/19.16 (define @t2773 () (tptp.hBOOL (tptp.hAPP @t2715 @t831))) % 18.94/19.16 (define @t2774 () (tptp.hAPP @t2186 @t118)) % 18.94/19.16 (define @t2775 () (tptp.hBOOL (tptp.hAPP @t2774 @t2568))) % 18.94/19.16 (define @t2776 () (tptp.hAPP @t1596 @t452)) % 18.94/19.16 (define @t2777 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 (tptp.hAPP @t2728 (tptp.hAPP (tptp.hAPP @t2211 (tptp.hAPP @t2 (tptp.hAPP @t2776 @t1599))) @t2600))) @t2205))) % 18.94/19.16 (define @t2778 () (tptp.hAPP @t1754 @t452)) % 18.94/19.16 (define @t2779 () (tptp.hBOOL (tptp.hAPP @t2778 @t831))) % 18.94/19.16 (define @t2780 () (@var "V_f1_2" $$unsorted)) % 18.94/19.16 (define @t2781 () (@var "V_f2_2" $$unsorted)) % 18.94/19.16 (define @t2782 () (@list @t2781 @t2780 @t10)) % 18.94/19.16 (define @t2783 () (tptp.hAPP @t2781 @t2468)) % 18.94/19.16 (define @t2784 () (@list @t2468 @t2781 @t2780 @t10)) % 18.94/19.16 (define @t2785 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t2786 () (tptp.hAPP @t2785 @t1754)) % 18.94/19.16 (define @t2787 () (tptp.c_COMBC tptp.tc_Nat_Onat @t1650 tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t2788 () (tptp.hAPP @t2787 @t1615)) % 18.94/19.16 (define @t2789 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1170 tptp.tc_Nat_Onat) tptp.c_fconj)) % 18.94/19.16 (define @t2790 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t2791 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2792 () (tptp.hAPP @t2466 (tptp.hAPP @t2791 (tptp.hAPP (tptp.hAPP @t2790 (tptp.hAPP @t2789 (tptp.hAPP @t2788 @t190))) (tptp.hAPP @t2786 @t2537))))) % 18.94/19.16 (define @t2793 () (tptp.hAPP @t2786 @t207)) % 18.94/19.16 (define @t2794 () (tptp.tc_fun @t1650 tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t2795 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2794 tptp.tc_Nat_Onat) @t1615)) % 18.94/19.16 (define @t2796 () (tptp.hAPP @t2787 (tptp.hAPP @t2795 tptp.c_Nat_OSuc))) % 18.94/19.16 (define @t2797 () (tptp.hAPP @t2466 (tptp.hAPP @t2791 (tptp.hAPP (tptp.hAPP @t2790 (tptp.hAPP @t2789 (tptp.hAPP @t2796 @t190))) @t2793)))) % 18.94/19.16 (define @t2798 () (tptp.hAPP @t1615 @t1949)) % 18.94/19.16 (define @t2799 () (tptp.hBOOL (tptp.hAPP @t2798 @t190))) % 18.94/19.16 (define @t2800 () (@list @t207 @t190)) % 18.94/19.16 (define @t2801 () (tptp.hAPP @t2454 @t190)) % 18.94/19.16 (define @t2802 () (@var "B_h" $$unsorted)) % 18.94/19.16 (define @t2803 () (@list @t2802)) % 18.94/19.16 (define @t2804 () (tptp.hBOOL (tptp.hAPP @t1291 @t190))) % 18.94/19.16 (define @t2805 () (tptp.c_Set_OCollect @t10)) % 18.94/19.16 (define @t2806 () (tptp.hAPP @t2805 @t56)) % 18.94/19.16 (define @t2807 () (tptp.hBOOL (tptp.hAPP @t250 @t2806))) % 18.94/19.16 (define @t2808 () (tptp.hAPP @t56 @t219)) % 18.94/19.16 (define @t2809 () (tptp.hBOOL @t2808)) % 18.94/19.16 (define @t2810 () (@list @t10 @t219 @t56)) % 18.94/19.16 (define @t2811 () (tptp.hAPP @t1172 @t56)) % 18.94/19.16 (define @t2812 () (tptp.hAPP @t1174 @t2811)) % 18.94/19.16 (define @t2813 () (tptp.hAPP @t2805 (tptp.hAPP @t2812 @t53))) % 18.94/19.16 (define @t2814 () (tptp.hAPP @t2805 @t53)) % 18.94/19.16 (define @t2815 () (tptp.hBOOL (tptp.hAPP @t1291 @t2814))) % 18.94/19.16 (define @t2816 () (tptp.hBOOL (tptp.hAPP @t1291 @t2806))) % 18.94/19.16 (define @t2817 () (@list @t53 @t56 @t10)) % 18.94/19.16 (define @t2818 () (not @t314)) % 18.94/19.16 (define @t2819 () (forall @t7 @t2818)) % 18.94/19.16 (define @t2820 () (@list @t56 @t219 @t10)) % 18.94/19.16 (define @t2821 () (tptp.c_COMBK tptp.tc_HOL_Obool @t10)) % 18.94/19.16 (define @t2822 () (tptp.hAPP @t2821 tptp.c_fFalse)) % 18.94/19.16 (define @t2823 () (tptp.hAPP @t1171 tptp.c_fdisj)) % 18.94/19.16 (define @t2824 () (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t2823 @t56)) @t53))) % 18.94/19.16 (define @t2825 () (tptp.hAPP @t1171 tptp.c_fimplies)) % 18.94/19.16 (define @t2826 () (tptp.hAPP @t230 @t2806)) % 18.94/19.16 (define @t2827 () (tptp.hAPP @t1188 @t56)) % 18.94/19.16 (define @t2828 () (tptp.hAPP @t2805 @t2827)) % 18.94/19.16 (define @t2829 () (tptp.c_COMBB @t38 tptp.tc_HOL_Obool @t10)) % 18.94/19.16 (define @t2830 () (tptp.c_Set_OCollect @t38)) % 18.94/19.16 (define @t2831 () (tptp.hAPP @t2830 @t56)) % 18.94/19.16 (define @t2832 () (@list @t56 @t2 @t38 @t10)) % 18.94/19.16 (define @t2833 () (tptp.hAPP @t2805 (tptp.hAPP @t1175 @t2161))) % 18.94/19.16 (define @t2834 () (tptp.hAPP @t602 @t2806)) % 18.94/19.16 (define @t2835 () (tptp.hAPP @t2805 @t1193)) % 18.94/19.16 (define @t2836 () (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t1172 @t2139)) @t56))) % 18.94/19.16 (define @t2837 () (not @t2809)) % 18.94/19.16 (define @t2838 () (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t1172 @t1193)) @t56))) % 18.94/19.16 (define @t2839 () (tptp.hAPP @t1141 @t361)) % 18.94/19.16 (define @t2840 () (tptp.hAPP @t1174 (tptp.hAPP @t1172 @t364))) % 18.94/19.16 (define @t2841 () (tptp.hAPP @t344 @t2805)) % 18.94/19.16 (define @t2842 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1170 @t38)) % 18.94/19.16 (define @t2843 () (tptp.hAPP @t2842 tptp.c_fconj)) % 18.94/19.16 (define @t2844 () (tptp.c_COMBS @t38 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t2845 () (tptp.hAPP @t724 @t2830)) % 18.94/19.16 (define @t2846 () (tptp.hAPP @t2845 (tptp.hAPP (tptp.hAPP @t724 (tptp.hAPP @t2844 (tptp.hAPP @t2843 (tptp.hAPP @t723 @t1572)))) @t361))) % 18.94/19.16 (define @t2847 () (tptp.tc_fun @t111 @t150)) % 18.94/19.16 (define @t2848 () (tptp.tc_fun @t38 @t150)) % 18.94/19.16 (define @t2849 () (tptp.c_COMBB @t2848 @t2847 @t10)) % 18.94/19.16 (define @t2850 () (tptp.c_COMBS @t10 @t111 @t150)) % 18.94/19.16 (define @t2851 () (tptp.hAPP @t2850 (tptp.hAPP (tptp.hAPP @t2849 @t1553) @t2))) % 18.94/19.16 (define @t2852 () (tptp.hBOOL (tptp.hAPP @t1307 @t1572))) % 18.94/19.16 (define @t2853 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t38)) % 18.94/19.16 (define @t2854 () (tptp.hAPP @t649 @t348)) % 18.94/19.16 (define @t2855 () (tptp.hAPP (tptp.c_COMBB @t111 tptp.tc_Nat_Onat @t10) @t2495)) % 18.94/19.16 (define @t2856 () (tptp.hAPP @t2839 @t3)) % 18.94/19.16 (define @t2857 () (tptp.hAPP @t2106 @t2801)) % 18.94/19.16 (define @t2858 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t25 @t2)) % 18.94/19.16 (define @t2859 () (@var "B_z" $$unsorted)) % 18.94/19.16 (define @t2860 () (tptp.hAPP @t210 @t2859)) % 18.94/19.16 (define @t2861 () (@list @t2859)) % 18.94/19.16 (define @t2862 () (tptp.c_COMBB @t25 @t25 @t25)) % 18.94/19.16 (define @t2863 () (tptp.hAPP (tptp.hAPP @t2862 @t2805) @t56)) % 18.94/19.16 (define @t2864 () (tptp.c_Set_OCollect @t25)) % 18.94/19.16 (define @t2865 () (tptp.hAPP @t2864 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t25 @t25 tptp.tc_HOL_Obool) @t26) @t23))) % 18.94/19.16 (define @t2866 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1170 tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2867 () (tptp.hAPP @t2866 tptp.c_fconj)) % 18.94/19.16 (define @t2868 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t2869 () (tptp.hAPP @t2868 (tptp.hAPP @t2867 @t2233))) % 18.94/19.16 (define @t2870 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2871 () (tptp.hAPP @t2870 (tptp.hAPP @t2869 @t56))) % 18.94/19.16 (define @t2872 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2873 () (tptp.hAPP (tptp.c_COMBB @t1170 @t532 @t10) @t1187)) % 18.94/19.16 (define @t2874 () (tptp.hAPP @t951 (tptp.hAPP @t2873 @t1173))) % 18.94/19.16 (define @t2875 () (tptp.hAPP @t2874 @t2161)) % 18.94/19.16 (define @t2876 () (tptp.tc_fun @t1180 @t25)) % 18.94/19.16 (define @t2877 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 @t2876 @t10) (tptp.c_COMBB @t10 tptp.tc_HOL_Obool @t10)) tptp.c_fequal)) % 18.94/19.16 (define @t2878 () (tptp.tc_fun @t10 @t25)) % 18.94/19.16 (define @t2879 () (tptp.hAPP (tptp.c_COMBC @t10 @t1181 @t2878) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2876 (tptp.tc_fun @t1181 @t2878) @t10) (tptp.c_COMBB @t1180 @t25 @t10)) @t2877))) % 18.94/19.16 (define @t2880 () (tptp.tc_fun @t10 @t1170)) % 18.94/19.16 (define @t2881 () (tptp.hAPP (tptp.c_COMBB @t25 @t2880 @t10) @t1172)) % 18.94/19.16 (define @t2882 () (tptp.tc_fun @t10 @t2880)) % 18.94/19.16 (define @t2883 () (tptp.hAPP (tptp.c_COMBB @t2878 @t2882 @t10) @t2881)) % 18.94/19.16 (define @t2884 () (tptp.hAPP (tptp.c_COMBB @t2880 @t532 @t10) @t1174)) % 18.94/19.16 (define @t2885 () (tptp.tc_fun @t10 @t532)) % 18.94/19.16 (define @t2886 () (tptp.hAPP (tptp.c_COMBB @t2882 @t2885 @t10) @t2884)) % 18.94/19.16 (define @t2887 () (tptp.hAPP (tptp.c_COMBB @t2885 (tptp.tc_fun @t2878 @t2878) @t10) (tptp.c_COMBS @t10 @t25 @t25))) % 18.94/19.16 (define @t2888 () (tptp.c_COMBC @t10 @t2878 @t2878)) % 18.94/19.16 (define @t2889 () (tptp.c_HOL_OEx @t10)) % 18.94/19.16 (define @t2890 () (tptp.hAPP @t1079 @t2889)) % 18.94/19.16 (define @t2891 () (tptp.hAPP (tptp.c_COMBB @t2878 @t25 @t10) @t2890)) % 18.94/19.16 (define @t2892 () (tptp.class_Lattices_Odistrib__lattice @t10)) % 18.94/19.16 (define @t2893 () (tptp.hAPP (tptp.c_COMBC @t10 @t1180 @t25) @t2877)) % 18.94/19.16 (define @t2894 () (tptp.tc_fun @t42 @t25)) % 18.94/19.16 (define @t2895 () (tptp.c_COMBB @t25 tptp.tc_HOL_Obool @t38)) % 18.94/19.16 (define @t2896 () (tptp.hAPP @t2895 @t2889)) % 18.94/19.16 (define @t2897 () (@list @t2 @t38 @t56 @t10)) % 18.94/19.16 (define @t2898 () (tptp.c_COMBC @t38 @t10 tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t2899 () (tptp.hAPP @t2898 @t53)) % 18.94/19.16 (define @t2900 () (tptp.c_COMBB @t109 tptp.tc_HOL_Obool @t25)) % 18.94/19.16 (define @t2901 () (tptp.c_COMBB @t25 tptp.tc_HOL_Obool @t25)) % 18.94/19.16 (define @t2902 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1170 @t25)) % 18.94/19.16 (define @t2903 () (tptp.hAPP @t2902 tptp.c_fconj)) % 18.94/19.16 (define @t2904 () (tptp.tc_fun @t25 @t1170)) % 18.94/19.16 (define @t2905 () (tptp.hAPP (tptp.c_COMBB @t109 @t2904 @t25) @t2903)) % 18.94/19.16 (define @t2906 () (tptp.c_COMBS @t25 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t2907 () (tptp.tc_fun @t109 @t109)) % 18.94/19.16 (define @t2908 () (tptp.hAPP (tptp.c_COMBB @t2904 @t2907 @t25) @t2906)) % 18.94/19.16 (define @t2909 () (tptp.c_COMBC @t25 @t109 @t109)) % 18.94/19.16 (define @t2910 () (tptp.c_HOL_OEx @t25)) % 18.94/19.16 (define @t2911 () (tptp.hAPP @t1594 @t118)) % 18.94/19.16 (define @t2912 () (tptp.hAPP @t2805 (tptp.hAPP @t2890 (tptp.hAPP (tptp.hAPP @t951 (tptp.hAPP @t2884 (tptp.hAPP @t2881 (tptp.hAPP @t2893 @t2911)))) (tptp.hAPP @t363 @t1428))))) % 18.94/19.16 (define @t2913 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t1428)) % 18.94/19.16 (define @t2914 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t10)) % 18.94/19.16 (define @t2915 () (@list @t118 @t1428 @t10)) % 18.94/19.16 (define @t2916 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t1428)) % 18.94/19.16 (define @t2917 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t2692) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t2692) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 18.94/19.16 (define @t2918 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2919 () (tptp.hAPP @t2918 (tptp.hAPP @t2917 @t1949))) % 18.94/19.16 (define @t2920 () (tptp.hAPP @t2919 tptp.c_Int_Onat)) % 18.94/19.16 (define @t2921 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2922 () (tptp.hAPP (tptp.hAPP @t1548 @t2617) @t2616)) % 18.94/19.16 (define @t2923 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2615))) % 18.94/19.16 (define @t2924 () (tptp.hAPP @t596 @t348)) % 18.94/19.16 (define @t2925 () (not (= @t348 @t749))) % 18.94/19.16 (define @t2926 () (@var "V_Z_2" $$unsorted)) % 18.94/19.16 (define @t2927 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t70))) % 18.94/19.16 (define @t2928 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t23)) % 18.94/19.16 (define @t2929 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t23)) % 18.94/19.16 (define @t2930 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t2929) @t23))) % 18.94/19.16 (define @t2931 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t2928) @t23))) % 18.94/19.16 (define @t2932 () (not (= @t190 @t749))) % 18.94/19.16 (define @t2933 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t190) @t1428))) % 18.94/19.16 (define @t2934 () (@list @t1428 @t190 @t10)) % 18.94/19.16 (define @t2935 () (tptp.c_Orderings_Oord__class_Omin @t10)) % 18.94/19.16 (define @t2936 () (tptp.hAPP @t2935 @t47)) % 18.94/19.16 (define @t2937 () (tptp.hAPP @t2936 (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t912))) % 18.94/19.16 (define @t2938 () (= @t2929 @t47)) % 18.94/19.16 (define @t2939 () (tptp.c_Orderings_Oord__class_Omax @t10)) % 18.94/19.16 (define @t2940 () (tptp.hAPP @t2939 @t47)) % 18.94/19.16 (define @t2941 () (tptp.hAPP @t2940 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t912))) % 18.94/19.16 (define @t2942 () (= @t2928 @t47)) % 18.94/19.16 (define @t2943 () (tptp.hBOOL (tptp.hAPP @t1951 @t5))) % 18.94/19.16 (define @t2944 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 @t38)) % 18.94/19.16 (define @t2945 () (tptp.hAPP @t2944 @t1)) % 18.94/19.16 (define @t2946 () (tptp.hAPP @t1466 @t48)) % 18.94/19.16 (define @t2947 () (tptp.hAPP @t2946 (tptp.hAPP @t2945 @t912))) % 18.94/19.16 (define @t2948 () (tptp.hAPP @t2945 @t23)) % 18.94/19.16 (define @t2949 () (tptp.class_Orderings_Olinorder @t38)) % 18.94/19.16 (define @t2950 () (and @t2949 @t127)) % 18.94/19.16 (define @t2951 () (@list @t831 @t561 @t2 @t10 @t38)) % 18.94/19.16 (define @t2952 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t38 @t10)) % 18.94/19.16 (define @t2953 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 tptp.tc_Int_Oint)) % 18.94/19.16 (define @t2954 () (tptp.hAPP (tptp.hAPP @t2953 @t2207) @t23)) % 18.94/19.16 (define @t2955 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2956 () (tptp.hAPP @t2955 @t2)) % 18.94/19.16 (define @t2957 () (tptp.hAPP @t2956 @t23)) % 18.94/19.16 (define @t2958 () (tptp.hAPP @t2940 @t97)) % 18.94/19.16 (define @t2959 () (@list @t97 @t47 @t513 @t10)) % 18.94/19.16 (define @t2960 () (tptp.c_Orderings_Oord__class_Omax @t33)) % 18.94/19.16 (define @t2961 () (tptp.hAPP @t2960 @t81)) % 18.94/19.16 (define @t2962 () (tptp.hAPP @t2961 @t85)) % 18.94/19.16 (define @t2963 () (tptp.hAPP @t34 @t2962)) % 18.94/19.16 (define @t2964 () (tptp.hBOOL (tptp.hAPP @t2963 @t32))) % 18.94/19.16 (define @t2965 () (tptp.hAPP @t2960 @t64)) % 18.94/19.16 (define @t2966 () (tptp.hAPP @t2965 @t70)) % 18.94/19.16 (define @t2967 () (tptp.hAPP @t2960 @t32)) % 18.94/19.16 (define @t2968 () (tptp.hAPP @t2967 @t64)) % 18.94/19.16 (define @t2969 () (tptp.hBOOL (tptp.hAPP @t35 @t2962))) % 18.94/19.16 (define @t2970 () (tptp.hAPP @t2936 @t97)) % 18.94/19.16 (define @t2971 () (tptp.c_Orderings_Oord__class_Omin @t33)) % 18.94/19.16 (define @t2972 () (tptp.hAPP @t2971 @t81)) % 18.94/19.16 (define @t2973 () (tptp.hAPP @t2972 @t85)) % 18.94/19.16 (define @t2974 () (tptp.hBOOL (tptp.hAPP @t35 @t2973))) % 18.94/19.16 (define @t2975 () (tptp.hAPP @t34 @t2973)) % 18.94/19.16 (define @t2976 () (tptp.hAPP @t2971 @t64)) % 18.94/19.16 (define @t2977 () (tptp.hAPP @t2976 @t70)) % 18.94/19.16 (define @t2978 () (tptp.hAPP @t2971 @t32)) % 18.94/19.16 (define @t2979 () (tptp.hAPP @t2978 @t64)) % 18.94/19.16 (define @t2980 () (tptp.hBOOL (tptp.hAPP @t2975 @t32))) % 18.94/19.16 (define @t2981 () (tptp.hAPP @t34 @t2979)) % 18.94/19.16 (define @t2982 () (tptp.hBOOL (tptp.hAPP @t987 @t2962))) % 18.94/19.16 (define @t2983 () (tptp.hBOOL (tptp.hAPP @t988 @t513))) % 18.94/19.16 (define @t2984 () (tptp.hBOOL (tptp.hAPP @t990 @t513))) % 18.94/19.16 (define @t2985 () (tptp.hAPP @t967 @t513)) % 18.94/19.16 (define @t2986 () (tptp.hBOOL (tptp.hAPP @t2985 @t97))) % 18.94/19.16 (define @t2987 () (tptp.hBOOL (tptp.hAPP @t2985 @t47))) % 18.94/19.16 (define @t2988 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t2973) @t32))) % 18.94/19.16 (define @t2989 () (tptp.hAPP @t1712 @t70)) % 18.94/19.16 (define @t2990 () (tptp.hAPP (tptp.hAPP @t877 @t64) @t70)) % 18.94/19.16 (define @t2991 () (tptp.hAPP @t920 @t70)) % 18.94/19.16 (define @t2992 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2993 () (tptp.hAPP @t2992 @t1536)) % 18.94/19.16 (define @t2994 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t2995 () (tptp.hAPP @t2994 @t1536)) % 18.94/19.16 (define @t2996 () (tptp.hAPP (tptp.hAPP @t2994 @t1537) @t1536)) % 18.94/19.16 (define @t2997 () (tptp.hAPP @t2978 @t2966)) % 18.94/19.16 (define @t2998 () (tptp.hAPP @t2978 @t70)) % 18.94/19.16 (define @t2999 () (tptp.hAPP (tptp.hAPP @t2960 @t2979) @t2998)) % 18.94/19.16 (define @t3000 () (tptp.hAPP @t2967 @t70)) % 18.94/19.16 (define @t3001 () (tptp.hAPP (tptp.hAPP @t2971 @t2968) @t3000)) % 18.94/19.16 (define @t3002 () (tptp.hAPP @t2967 @t2977)) % 18.94/19.16 (define @t3003 () (tptp.hAPP @t2960 @t85)) % 18.94/19.16 (define @t3004 () (tptp.hAPP @t2965 @t32)) % 18.94/19.16 (define @t3005 () (tptp.hAPP @t2971 @t85)) % 18.94/19.16 (define @t3006 () (tptp.hAPP @t2976 @t32)) % 18.94/19.16 (define @t3007 () (tptp.hAPP @t2961 (tptp.hAPP @t3003 @t82))) % 18.94/19.16 (define @t3008 () (tptp.hAPP @t2967 @t2966)) % 18.94/19.16 (define @t3009 () (tptp.hAPP @t2972 (tptp.hAPP @t3005 @t82))) % 18.94/19.16 (define @t3010 () (tptp.hAPP @t2978 @t2977)) % 18.94/19.16 (define @t3011 () (tptp.class_Groups_Olinordered__ab__group__add @t33)) % 18.94/19.16 (define @t3012 () (tptp.hAPP @t2935 @t216)) % 18.94/19.16 (define @t3013 () (tptp.hAPP @t3012 @t215)) % 18.94/19.16 (define @t3014 () (tptp.hAPP @t2939 @t219)) % 18.94/19.16 (define @t3015 () (tptp.hAPP @t3014 @t220)) % 18.94/19.16 (define @t3016 () (tptp.hAPP @t601 @t236)) % 18.94/19.16 (define @t3017 () (tptp.hAPP @t2952 @t1)) % 18.94/19.16 (define @t3018 () (tptp.hAPP @t2952 @t2)) % 18.94/19.16 (define @t3019 () (tptp.hAPP @t3018 @t23)) % 18.94/19.16 (define @t3020 () (tptp.class_Fields_Olinordered__field @t10)) % 18.94/19.16 (define @t3021 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t10)) % 18.94/19.16 (define @t3022 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t10)) % 18.94/19.16 (define @t3023 () (tptp.hAPP @t2944 @t2)) % 18.94/19.16 (define @t3024 () (tptp.hAPP @t3023 @t23)) % 18.94/19.16 (define @t3025 () (= @t3024 @t2088)) % 18.94/19.16 (define @t3026 () (exists @t7 (and @t326 @t2431))) % 18.94/19.16 (define @t3027 () (tptp.class_Rings_Ocomm__semiring__1 @t38)) % 18.94/19.16 (define @t3028 () (=> @t2089 (= @t2948 @t1477))) % 18.94/19.16 (define @t3029 () (tptp.hAPP (tptp.hAPP @t3021 @t2) @t23)) % 18.94/19.16 (define @t3030 () (tptp.hAPP @t1466 @t2948)) % 18.94/19.16 (define @t3031 () (forall @t7 (=> @t739 @t2943))) % 18.94/19.16 (define @t3032 () (tptp.hBOOL (tptp.hAPP @t1951 (tptp.hAPP @t2956 @t348)))) % 18.94/19.16 (define @t3033 () (@list @t2 @t348 @t10)) % 18.94/19.16 (define @t3034 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 @t150)) % 18.94/19.16 (define @t3035 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t38 @t150)) % 18.94/19.16 (define @t3036 () (tptp.hAPP @t3035 @t1104)) % 18.94/19.16 (define @t3037 () (= (tptp.hAPP @t3036 @t22) (tptp.hAPP (tptp.hAPP @t3034 @t1) @t23))) % 18.94/19.16 (define @t3038 () (= @t22 @t660)) % 18.94/19.16 (define @t3039 () (tptp.class_Groups_Ocomm__monoid__mult @t150)) % 18.94/19.16 (define @t3040 () (@list @t1104 @t1 @t22 @t23 @t2 @t38 @t10 @t150)) % 18.94/19.16 (define @t3041 () (tptp.hAPP @t2992 @t831)) % 18.94/19.16 (define @t3042 () (tptp.hAPP @t2449 tptp.c_Nat_OSuc)) % 18.94/19.16 (define @t3043 () (tptp.hAPP @t2992 @t2478)) % 18.94/19.16 (define @t3044 () (tptp.hAPP (tptp.hAPP @t2944 (tptp.hAPP @t2143 @t1477)) @t348)) % 18.94/19.16 (define @t3045 () (tptp.hAPP (tptp.hAPP @t2944 (tptp.hAPP @t2149 @t1477)) @t348)) % 18.94/19.16 (define @t3046 () (tptp.hAPP @t2940 @t2928)) % 18.94/19.16 (define @t3047 () (tptp.hAPP @t2936 @t2929)) % 18.94/19.16 (define @t3048 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t2939) @t23)) % 18.94/19.16 (define @t3049 () (tptp.c_Finite__Set_Ofold1 @t10 @t2935)) % 18.94/19.16 (define @t3050 () (tptp.hAPP @t3049 @t23)) % 18.94/19.16 (define @t3051 () (tptp.hAPP @t2945 @t858)) % 18.94/19.16 (define @t3052 () (tptp.hAPP @t3030 (tptp.hAPP @t2945 @t22))) % 18.94/19.16 (define @t3053 () (tptp.hAPP @t2945 @t458)) % 18.94/19.16 (define @t3054 () (=> @t1292 (= @t2948 @t1479))) % 18.94/19.16 (define @t3055 () (tptp.hAPP @t2994 @t831)) % 18.94/19.16 (define @t3056 () (tptp.hAPP @t2994 @t2478)) % 18.94/19.16 (define @t3057 () (tptp.hAPP @t99 @t3050)) % 18.94/19.16 (define @t3058 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t858)) % 18.94/19.16 (define @t3059 () (=> @t756 (= @t3058 @t3046))) % 18.94/19.16 (define @t3060 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t858)) % 18.94/19.16 (define @t3061 () (=> @t756 (= @t3060 @t3047))) % 18.94/19.16 (define @t3062 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t22)) % 18.94/19.16 (define @t3063 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t22)) % 18.94/19.16 (define @t3064 () (tptp.hAPP (tptp.hAPP @t2939 @t2928) @t3062)) % 18.94/19.16 (define @t3065 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t458)) % 18.94/19.16 (define @t3066 () (= @t3065 @t3064)) % 18.94/19.16 (define @t3067 () (tptp.hAPP (tptp.hAPP @t2935 @t2929) @t3063)) % 18.94/19.16 (define @t3068 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t458)) % 18.94/19.16 (define @t3069 () (= @t3068 @t3067)) % 18.94/19.16 (define @t3070 () (= @t3053 @t3052)) % 18.94/19.16 (define @t3071 () (tptp.hAPP @t1191 @t99)) % 18.94/19.16 (define @t3072 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 @t23)) % 18.94/19.16 (define @t3073 () (tptp.hAPP @t2936 @t3072)) % 18.94/19.16 (define @t3074 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 @t858)) % 18.94/19.16 (define @t3075 () (=> @t756 (= @t3074 @t3073))) % 18.94/19.16 (define @t3076 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 @t22)) % 18.94/19.16 (define @t3077 () (tptp.hAPP (tptp.hAPP @t2935 @t3072) @t3076)) % 18.94/19.16 (define @t3078 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 @t458)) % 18.94/19.16 (define @t3079 () (= @t3078 @t3077)) % 18.94/19.16 (define @t3080 () (tptp.hAPP @t2936 (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 @t912))) % 18.94/19.16 (define @t3081 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 @t22)) % 18.94/19.16 (define @t3082 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 @t23)) % 18.94/19.16 (define @t3083 () (tptp.hAPP (tptp.hAPP @t2935 @t3) @t195)) % 18.94/19.16 (define @t3084 () (forall @t1131 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t3083) @t1412)))) % 18.94/19.16 (define @t3085 () (tptp.hAPP @t2940 @t3082)) % 18.94/19.16 (define @t3086 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 @t858)) % 18.94/19.16 (define @t3087 () (=> @t756 (= @t3086 @t3085))) % 18.94/19.16 (define @t3088 () (tptp.hAPP @t2935 @t219)) % 18.94/19.16 (define @t3089 () (tptp.hAPP (tptp.hAPP @t2939 @t3082) @t3081)) % 18.94/19.16 (define @t3090 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 @t458)) % 18.94/19.16 (define @t3091 () (= @t3090 @t3089)) % 18.94/19.16 (define @t3092 () (tptp.hAPP @t2940 (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 @t912))) % 18.94/19.16 (define @t3093 () (tptp.hAPP (tptp.hAPP @t2939 @t3) @t195)) % 18.94/19.16 (define @t3094 () (forall @t1131 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t3093) @t1412)))) % 18.94/19.16 (define @t3095 () (tptp.hAPP @t3023 @t1572)) % 18.94/19.16 (define @t3096 () (tptp.hAPP @t3023 @t348)) % 18.94/19.16 (define @t3097 () (tptp.hAPP @t2454 @t348)) % 18.94/19.16 (define @t3098 () (tptp.c_Power_Opower__class_Opower @t38)) % 18.94/19.16 (define @t3099 () (tptp.hAPP @t3098 @t220)) % 18.94/19.16 (define @t3100 () (tptp.hAPP (tptp.hAPP @t2944 (tptp.hAPP @t2149 @t220)) @t348)) % 18.94/19.16 (define @t3101 () (tptp.hAPP @t3023 @t853)) % 18.94/19.16 (define @t3102 () (tptp.c_Rings_Oinverse__class_Odivide @t38)) % 18.94/19.16 (define @t3103 () (tptp.hAPP @t3102 @t3024)) % 18.94/19.16 (define @t3104 () (tptp.class_Fields_Ofield @t38)) % 18.94/19.16 (define @t3105 () (forall @t1131 (= (tptp.hAPP @t1104 @t3093) (tptp.hAPP (tptp.hAPP @t2939 @t1434) @t1433)))) % 18.94/19.16 (define @t3106 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 18.94/19.16 (define @t3107 () (tptp.hAPP @t3106 @t32)) % 18.94/19.16 (define @t3108 () (tptp.hAPP @t3107 @t1536)) % 18.94/19.16 (define @t3109 () (@list @t1536 @t32)) % 18.94/19.16 (define @t3110 () (tptp.c_Power_Opower__class_Opower @t33)) % 18.94/19.16 (define @t3111 () (tptp.hAPP (tptp.hAPP @t3106 @t70) @t1536)) % 18.94/19.16 (define @t3112 () (tptp.hAPP @t3110 @t32)) % 18.94/19.16 (define @t3113 () (tptp.hAPP @t3107 @t64)) % 18.94/19.16 (define @t3114 () (tptp.c_Rings_Oinverse__class_Odivide @t33)) % 18.94/19.16 (define @t3115 () (tptp.hAPP @t3114 @t81)) % 18.94/19.16 (define @t3116 () (tptp.class_Rings_Odivision__ring__inverse__zero @t33)) % 18.94/19.16 (define @t3117 () (tptp.class_Rings_Odivision__ring @t33)) % 18.94/19.16 (define @t3118 () (tptp.hAPP (tptp.hAPP @t3114 @t85) @t82)) % 18.94/19.16 (define @t3119 () (tptp.hAPP @t3115 @t82)) % 18.94/19.16 (define @t3120 () (tptp.hAPP @t3114 @t1629)) % 18.94/19.16 (define @t3121 () (tptp.hAPP @t3110 @t64)) % 18.94/19.16 (define @t3122 () (tptp.hAPP @t3112 @t2329)) % 18.94/19.16 (define @t3123 () (tptp.hAPP @t1239 @t3122)) % 18.94/19.16 (define @t3124 () (tptp.hAPP @t3114 @t408)) % 18.94/19.16 (define @t3125 () (tptp.hAPP @t3115 @t85)) % 18.94/19.16 (define @t3126 () (tptp.hAPP @t404 @t3125)) % 18.94/19.16 (define @t3127 () (tptp.hAPP (tptp.hAPP @t3106 @t2200) @t1536)) % 18.94/19.16 (define @t3128 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t3129 () (tptp.hAPP (tptp.hAPP @t3128 @t1537) @t1536)) % 18.94/19.16 (define @t3130 () (tptp.hAPP @t2182 @t3129)) % 18.94/19.16 (define @t3131 () (@var "V_p" $$unsorted)) % 18.94/19.16 (define @t3132 () (tptp.hAPP @t1752 @t3131)) % 18.94/19.16 (define @t3133 () (tptp.hAPP @t3112 @t3131)) % 18.94/19.16 (define @t3134 () (@list @t2329 @t3131 @t32 @t33)) % 18.94/19.16 (define @t3135 () (tptp.c_Rings_Oinverse__class_Odivide @t10)) % 18.94/19.16 (define @t3136 () (tptp.class_Fields_Ofield @t10)) % 18.94/19.16 (define @t3137 () (= @t1637 @t216)) % 18.94/19.16 (define @t3138 () (tptp.hAPP @t3135 @t216)) % 18.94/19.16 (define @t3139 () (tptp.hAPP @t3138 @t220)) % 18.94/19.16 (define @t3140 () (= @t219 @t3139)) % 18.94/19.16 (define @t3141 () (= @t220 @t1939)) % 18.94/19.16 (define @t3142 () (not @t3141)) % 18.94/19.16 (define @t3143 () (tptp.class_Rings_Odivision__ring @t10)) % 18.94/19.16 (define @t3144 () (= @t216 @t1637)) % 18.94/19.16 (define @t3145 () (= @t3139 @t219)) % 18.94/19.16 (define @t3146 () (@list @t219 @t216 @t220 @t10)) % 18.94/19.16 (define @t3147 () (= @t82 @t1955)) % 18.94/19.16 (define @t3148 () (not @t3147)) % 18.94/19.16 (define @t3149 () (tptp.hAPP @t3115 @t81)) % 18.94/19.16 (define @t3150 () (=> @t1983 (= @t3149 @t1518))) % 18.94/19.16 (define @t3151 () (tptp.hAPP (tptp.hAPP @t3135 @t219) @t216)) % 18.94/19.16 (define @t3152 () (= @t3126 (tptp.hAPP @t3115 @t409))) % 18.94/19.16 (define @t3153 () (= (tptp.hAPP @t3124 @t409) @t3125)) % 18.94/19.16 (define @t3154 () (tptp.hAPP @t3112 (tptp.hAPP tptp.c_Nat_OSuc @t2329))) % 18.94/19.16 (define @t3155 () (@list @t2329 @t32 @t33)) % 18.94/19.16 (define @t3156 () (tptp.hAPP @t1243 @t3122)) % 18.94/19.16 (define @t3157 () (tptp.c_Power_Opower__class_Opower @t10)) % 18.94/19.16 (define @t3158 () (tptp.hAPP @t3157 @t219)) % 18.94/19.16 (define @t3159 () (tptp.hAPP @t3158 @t831)) % 18.94/19.16 (define @t3160 () (@list @t831 @t219 @t10)) % 18.94/19.16 (define @t3161 () (tptp.hAPP @t3157 @t47)) % 18.94/19.16 (define @t3162 () (tptp.hAPP @t3128 @t3131)) % 18.94/19.16 (define @t3163 () (tptp.hAPP @t3162 @t1537)) % 18.94/19.16 (define @t3164 () (@list @t831 @t47)) % 18.94/19.16 (define @t3165 () (tptp.hAPP @t3128 @t2452)) % 18.94/19.16 (define @t3166 () (tptp.c_Finite__Set_Ocard @t25)) % 18.94/19.16 (define @t3167 () (tptp.hAPP @t3110 @t85)) % 18.94/19.16 (define @t3168 () (tptp.hAPP @t3167 @t1536)) % 18.94/19.16 (define @t3169 () (tptp.hAPP @t3110 @t81)) % 18.94/19.16 (define @t3170 () (tptp.hAPP @t3169 @t1536)) % 18.94/19.16 (define @t3171 () (tptp.hAPP @t986 @t3170)) % 18.94/19.16 (define @t3172 () (tptp.hBOOL (tptp.hAPP @t3171 @t3168))) % 18.94/19.16 (define @t3173 () (@list @t1536 @t85 @t81 @t33)) % 18.94/19.16 (define @t3174 () (tptp.hAPP @t3169 @t1537)) % 18.94/19.16 (define @t3175 () (tptp.class_Fields_Ofield @t33)) % 18.94/19.16 (define @t3176 () (tptp.hBOOL (tptp.hAPP @t1538 @t81))) % 18.94/19.16 (define @t3177 () (@list @t1536 @t81 @t33)) % 18.94/19.16 (define @t3178 () (tptp.hAPP @t3157 @t216)) % 18.94/19.16 (define @t3179 () (tptp.hAPP @t3178 @t97)) % 18.94/19.16 (define @t3180 () (tptp.hAPP @t3178 @t47)) % 18.94/19.16 (define @t3181 () (tptp.hAPP @t967 @t1494)) % 18.94/19.16 (define @t3182 () (tptp.hBOOL (tptp.hAPP @t3181 @t216))) % 18.94/19.16 (define @t3183 () (@list @t97 @t47 @t216 @t10)) % 18.94/19.16 (define @t3184 () (tptp.hAPP @t3128 @t47)) % 18.94/19.16 (define @t3185 () (tptp.hAPP @t3128 @t1767)) % 18.94/19.16 (define @t3186 () (tptp.hAPP @t3185 @t1536)) % 18.94/19.16 (define @t3187 () (tptp.hAPP @t3185 @t1537)) % 18.94/19.16 (define @t3188 () (@list @t1536 @t1537 @t1767)) % 18.94/19.16 (define @t3189 () (tptp.hAPP @t1239 @t3170)) % 18.94/19.16 (define @t3190 () (tptp.hAPP @t1240 @t3170)) % 18.94/19.16 (define @t3191 () (tptp.hAPP @t3189 @t81)) % 18.94/19.16 (define @t3192 () (tptp.hAPP @t3110 @t1518)) % 18.94/19.16 (define @t3193 () (@list @t1536 @t1537 @t81 @t33)) % 18.94/19.16 (define @t3194 () (= (tptp.hAPP (tptp.hAPP @t3110 @t3125) @t1536) (tptp.hAPP (tptp.hAPP @t3114 @t3170) @t3168))) % 18.94/19.16 (define @t3195 () (tptp.class_Fields_Ofield__inverse__zero @t33)) % 18.94/19.16 (define @t3196 () (tptp.hAPP @t3110 @t2737)) % 18.94/19.16 (define @t3197 () (tptp.hAPP @t3196 @t1536)) % 18.94/19.16 (define @t3198 () (tptp.hAPP @t2735 @t3170)) % 18.94/19.16 (define @t3199 () (tptp.hAPP @t34 @t3170)) % 18.94/19.16 (define @t3200 () (tptp.class_Power_Opower @t10)) % 18.94/19.16 (define @t3201 () (tptp.hBOOL (tptp.hAPP @t2084 @t81))) % 18.94/19.16 (define @t3202 () (tptp.hAPP @t3110 @t1955)) % 18.94/19.16 (define @t3203 () (tptp.class_Power_Opower @t33)) % 18.94/19.16 (define @t3204 () (and @t3203 (tptp.class_Rings_Osemiring__0 @t33))) % 18.94/19.16 (define @t3205 () (tptp.hAPP @t3169 @t2459)) % 18.94/19.16 (define @t3206 () (tptp.hAPP @t3114 @t1518)) % 18.94/19.16 (define @t3207 () (tptp.hAPP @t3110 @t408)) % 18.94/19.16 (define @t3208 () (tptp.hAPP @t3207 @t1536)) % 18.94/19.16 (define @t3209 () (@list @t85 @t1536 @t81 @t33)) % 18.94/19.16 (define @t3210 () (tptp.hAPP @t3167 @t2459)) % 18.94/19.16 (define @t3211 () (tptp.hAPP @t3202 @t1536)) % 18.94/19.16 (define @t3212 () (@var "V_N" $$unsorted)) % 18.94/19.16 (define @t3213 () (tptp.hAPP @t3169 @t3212)) % 18.94/19.16 (define @t3214 () (tptp.hBOOL (tptp.hAPP @t1820 @t3212))) % 18.94/19.16 (define @t3215 () (@list @t81 @t3212 @t1536 @t33)) % 18.94/19.16 (define @t3216 () (tptp.hBOOL (tptp.hAPP @t1811 @t3212))) % 18.94/19.16 (define @t3217 () (tptp.hAPP @t3110 @t1570)) % 18.94/19.16 (define @t3218 () (tptp.hBOOL (tptp.hAPP @t1003 @t1518))) % 18.94/19.16 (define @t3219 () (not @t2077)) % 18.94/19.16 (define @t3220 () (tptp.hBOOL (tptp.hAPP @t217 @t1637))) % 18.94/19.16 (define @t3221 () (not @t2079)) % 18.94/19.16 (define @t3222 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1637) @t216))) % 18.94/19.16 (define @t3223 () (tptp.hBOOL (tptp.hAPP @t232 @t3139))) % 18.94/19.16 (define @t3224 () (tptp.class_Fields_Olinordered__field__inverse__zero @t10)) % 18.94/19.16 (define @t3225 () (tptp.hAPP @t99 @t3139)) % 18.94/19.16 (define @t3226 () (tptp.hBOOL (tptp.hAPP @t3225 @t219))) % 18.94/19.16 (define @t3227 () (@list @t219 @t220 @t216 @t10)) % 18.94/19.16 (define @t3228 () (tptp.hAPP @t3114 @t32)) % 18.94/19.16 (define @t3229 () (tptp.hAPP @t3228 @t64)) % 18.94/19.16 (define @t3230 () (= (tptp.hAPP @t2735 @t3125) (tptp.hAPP (tptp.hAPP @t3114 @t2737) @t2736))) % 18.94/19.16 (define @t3231 () (tptp.class_Fields_Olinordered__field__inverse__zero @t33)) % 18.94/19.16 (define @t3232 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3119) @t3118))) % 18.94/19.16 (define @t3233 () (tptp.class_Fields_Olinordered__field @t33)) % 18.94/19.16 (define @t3234 () (tptp.hBOOL (tptp.hAPP @t2051 @t3229))) % 18.94/19.16 (define @t3235 () (tptp.hBOOL (tptp.hAPP @t994 @t1955))) % 18.94/19.16 (define @t3236 () (tptp.hBOOL (tptp.hAPP @t987 @t1955))) % 18.94/19.16 (define @t3237 () (tptp.hAPP @t986 @t3229)) % 18.94/19.16 (define @t3238 () (tptp.hBOOL (tptp.hAPP @t3237 @t1955))) % 18.94/19.16 (define @t3239 () (tptp.hBOOL (tptp.hAPP @t2051 @t64))) % 18.94/19.16 (define @t3240 () (tptp.hBOOL (tptp.hAPP @t1953 @t216))) % 18.94/19.16 (define @t3241 () (tptp.hBOOL (tptp.hAPP @t1028 @t1939))) % 18.94/19.16 (define @t3242 () (=> @t3141 @t1966)) % 18.94/19.16 (define @t3243 () (tptp.class_Fields_Ofield__inverse__zero @t10)) % 18.94/19.16 (define @t3244 () (= @t513 @t1939)) % 18.94/19.16 (define @t3245 () (tptp.hBOOL (tptp.hAPP @t1963 @t3229))) % 18.94/19.16 (define @t3246 () (tptp.hAPP @t34 @t3229)) % 18.94/19.16 (define @t3247 () (tptp.hBOOL (tptp.hAPP @t3246 @t1955))) % 18.94/19.16 (define @t3248 () (tptp.hAPP @t3114 @t64)) % 18.94/19.16 (define @t3249 () (tptp.hAPP @t3248 @t2278)) % 18.94/19.16 (define @t3250 () (tptp.hAPP @t3228 @t70)) % 18.94/19.16 (define @t3251 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3250) @t3249))) % 18.94/19.16 (define @t3252 () (tptp.hBOOL (tptp.hAPP @t2051 @t2278))) % 18.94/19.16 (define @t3253 () (@list @t70 @t2278 @t64 @t32 @t33)) % 18.94/19.16 (define @t3254 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t2278) @t70))) % 18.94/19.16 (define @t3255 () (tptp.hBOOL (tptp.hAPP @t35 @t1955))) % 18.94/19.16 (define @t3256 () (tptp.hAPP @t3114 @t82)) % 18.94/19.16 (define @t3257 () (tptp.hAPP @t3256 @t85)) % 18.94/19.16 (define @t3258 () (tptp.hAPP @t3256 @t81)) % 18.94/19.16 (define @t3259 () (=> @t2071 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3258) @t3257)))) % 18.94/19.16 (define @t3260 () (tptp.hBOOL (tptp.hAPP @t2081 @t216))) % 18.94/19.16 (define @t3261 () (tptp.hAPP @t967 @t3139)) % 18.94/19.16 (define @t3262 () (tptp.hBOOL (tptp.hAPP @t3261 @t219))) % 18.94/19.16 (define @t3263 () (tptp.hBOOL (tptp.hAPP @t1028 @t1637))) % 18.94/19.16 (define @t3264 () (tptp.hBOOL (tptp.hAPP @t1035 @t3139))) % 18.94/19.16 (define @t3265 () (tptp.hAPP @t1239 @t70)) % 18.94/19.16 (define @t3266 () (tptp.hAPP @t3265 @t64)) % 18.94/19.16 (define @t3267 () (tptp.hAPP @t3114 (tptp.hAPP @t1712 @t3266))) % 18.94/19.16 (define @t3268 () (tptp.hAPP @t3267 @t64)) % 18.94/19.16 (define @t3269 () (tptp.hAPP @t1627 @t70)) % 18.94/19.16 (define @t3270 () (not (= @t64 @t1955))) % 18.94/19.16 (define @t3271 () (tptp.hAPP @t3265 @t32)) % 18.94/19.16 (define @t3272 () (tptp.hAPP @t3248 @t70)) % 18.94/19.16 (define @t3273 () (not (= @t70 @t1955))) % 18.94/19.16 (define @t3274 () (@list @t64 @t32 @t70 @t33)) % 18.94/19.16 (define @t3275 () (tptp.hAPP @t1627 @t3229)) % 18.94/19.16 (define @t3276 () (tptp.hAPP @t2120 @t70)) % 18.94/19.16 (define @t3277 () (tptp.hAPP (tptp.hAPP @t1239 @t2278) @t64)) % 18.94/19.16 (define @t3278 () (tptp.hAPP (tptp.hAPP @t3114 @t2278) @t70)) % 18.94/19.16 (define @t3279 () (@list @t2278 @t32 @t70 @t64 @t33)) % 18.94/19.16 (define @t3280 () (tptp.hAPP @t3120 @t1709)) % 18.94/19.16 (define @t3281 () (=> @t2071 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t3258) @t3257)))) % 18.94/19.16 (define @t3282 () (tptp.hAPP @t3023 @t22)) % 18.94/19.16 (define @t3283 () (tptp.hAPP @t3106 @t1791)) % 18.94/19.16 (define @t3284 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 18.94/19.16 (define @t3285 () (@list @t1791 @t1537)) % 18.94/19.16 (define @t3286 () (forall @t1131 (= (tptp.hAPP @t1104 @t3083) (tptp.hAPP (tptp.hAPP @t2935 @t1434) @t1433)))) % 18.94/19.16 (define @t3287 () (@list @t85)) % 18.94/19.16 (define @t3288 () (tptp.hAPP @t2184 @t81)) % 18.94/19.16 (define @t3289 () (tptp.hAPP @t3284 @t3288)) % 18.94/19.16 (define @t3290 () (tptp.hAPP @t3289 @t85)) % 18.94/19.16 (define @t3291 () (tptp.hAPP @t2184 @t85)) % 18.94/19.16 (define @t3292 () (tptp.hAPP @t3284 @t81)) % 18.94/19.16 (define @t3293 () (tptp.hAPP @t3292 @t3291)) % 18.94/19.16 (define @t3294 () (@list @t85 @t81)) % 18.94/19.16 (define @t3295 () (tptp.hAPP @t3292 @t85)) % 18.94/19.16 (define @t3296 () (tptp.c_Divides_Odiv__class_Odiv @t33)) % 18.94/19.16 (define @t3297 () (tptp.class_Divides_Osemiring__div @t33)) % 18.94/19.16 (define @t3298 () (tptp.hAPP @t3296 @t81)) % 18.94/19.16 (define @t3299 () (tptp.hAPP @t3284 @t32)) % 18.94/19.16 (define @t3300 () (tptp.hAPP @t3299 @t64)) % 18.94/19.16 (define @t3301 () (tptp.hBOOL (tptp.hAPP @t2192 @t85))) % 18.94/19.16 (define @t3302 () (tptp.hAPP @t2190 @t81)) % 18.94/19.16 (define @t3303 () (tptp.hBOOL (tptp.hAPP @t3302 @t2188))) % 18.94/19.16 (define @t3304 () (tptp.hAPP @t3284 @t219)) % 18.94/19.16 (define @t3305 () (tptp.hAPP @t3304 @t216)) % 18.94/19.16 (define @t3306 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3305) @t2188))) % 18.94/19.16 (define @t3307 () (tptp.hAPP @t2190 @t216)) % 18.94/19.16 (define @t3308 () (tptp.hBOOL (tptp.hAPP @t3307 @t2188))) % 18.94/19.16 (define @t3309 () (@list @t219 @t216)) % 18.94/19.16 (define @t3310 () (tptp.hAPP @t2190 @t219)) % 18.94/19.16 (define @t3311 () (tptp.hAPP @t2192 @t216)) % 18.94/19.16 (define @t3312 () (tptp.hBOOL @t3311)) % 18.94/19.16 (define @t3313 () (= @t81 @t2188)) % 18.94/19.16 (define @t3314 () (not @t3313)) % 18.94/19.16 (define @t3315 () (@list @t81)) % 18.94/19.16 (define @t3316 () (tptp.hAPP @t3298 @t85)) % 18.94/19.16 (define @t3317 () (tptp.hAPP (tptp.hAPP @t3296 @t2038) @t2037)) % 18.94/19.16 (define @t3318 () (=> @t3148 (= @t3317 @t3316))) % 18.94/19.16 (define @t3319 () (tptp.hAPP @t3296 @t1245)) % 18.94/19.16 (define @t3320 () (= @t118 @t2188)) % 18.94/19.16 (define @t3321 () (tptp.hAPP (tptp.hAPP @t3284 @t207) @t118)) % 18.94/19.16 (define @t3322 () (tptp.hBOOL (tptp.hAPP @t2233 @t219))) % 18.94/19.16 (define @t3323 () (tptp.hBOOL (tptp.hAPP @t2233 @t3305))) % 18.94/19.16 (define @t3324 () (tptp.hBOOL (tptp.hAPP @t2192 @t118))) % 18.94/19.16 (define @t3325 () (tptp.hAPP @t2186 @t216)) % 18.94/19.16 (define @t3326 () (@list @t216 @t219)) % 18.94/19.16 (define @t3327 () (tptp.hAPP @t3292 @t2339)) % 18.94/19.16 (define @t3328 () (tptp.hAPP @t2186 @t3295)) % 18.94/19.16 (define @t3329 () (tptp.hBOOL (tptp.hAPP @t2233 @t81))) % 18.94/19.16 (define @t3330 () (@list @t85 @t2339 @t81)) % 18.94/19.16 (define @t3331 () (tptp.hBOOL (tptp.hAPP @t3328 @t2188))) % 18.94/19.16 (define @t3332 () (tptp.hBOOL (tptp.hAPP @t2360 @t2188))) % 18.94/19.16 (define @t3333 () (= @t3295 @t2188)) % 18.94/19.16 (define @t3334 () (tptp.hBOOL (tptp.hAPP @t3302 @t85))) % 18.94/19.16 (define @t3335 () (tptp.hAPP @t2186 @t81)) % 18.94/19.16 (define @t3336 () (tptp.hBOOL (tptp.hAPP @t3335 @t2188))) % 18.94/19.16 (define @t3337 () (tptp.hBOOL (tptp.hAPP @t2360 @t81))) % 18.94/19.16 (define @t3338 () (@var "V_a_H" $$unsorted)) % 18.94/19.16 (define @t3339 () (tptp.hAPP (tptp.hAPP @t3284 @t3338) @t85)) % 18.94/19.16 (define @t3340 () (tptp.hBOOL (tptp.hAPP @t3335 @t3338))) % 18.94/19.16 (define @t3341 () (@list @t85 @t3338 @t81)) % 18.94/19.16 (define @t3342 () (tptp.hAPP @t2352 @t82)) % 18.94/19.16 (define @t3343 () (tptp.hBOOL (tptp.hAPP @t2192 @t82))) % 18.94/19.16 (define @t3344 () (@list @t85 @t81 @t82)) % 18.94/19.16 (define @t3345 () (@var "V_one_2" $$unsorted)) % 18.94/19.16 (define @t3346 () (@var "V_times_2" $$unsorted)) % 18.94/19.16 (define @t3347 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t10 @t3345 @t3346) @t219)) % 18.94/19.16 (define @t3348 () (tptp.hAPP @t1655 @t3316)) % 18.94/19.16 (define @t3349 () (tptp.hAPP @t1628 @t2037)) % 18.94/19.16 (define @t3350 () (tptp.hAPP @t1628 @t1247)) % 18.94/19.16 (define @t3351 () (tptp.hAPP (tptp.hAPP @t1627 @t3316) @t1518)) % 18.94/19.16 (define @t3352 () (@var "V_b_1" $$unsorted)) % 18.94/19.16 (define @t3353 () (@var "V_a_1" $$unsorted)) % 18.94/19.16 (define @t3354 () (not (= @t3352 @t2188))) % 18.94/19.16 (define @t3355 () (@var "V_r_1" $$unsorted)) % 18.94/19.16 (define @t3356 () (tptp.hAPP @t2190 @t3352)) % 18.94/19.16 (define @t3357 () (tptp.hBOOL (tptp.hAPP @t2192 @t3352))) % 18.94/19.16 (define @t3358 () (not @t3357)) % 18.94/19.16 (define @t3359 () (tptp.hAPP @t2194 @t3352)) % 18.94/19.16 (define @t3360 () (= @t831 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t2695 @t452)) @t2517))) % 18.94/19.16 (define @t3361 () (and (tptp.hBOOL (tptp.hAPP @t2239 @t2517)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t2517) @t2188)) @t3360)) % 18.94/19.16 (define @t3362 () (tptp.hAPP @t2239 @t2188)) % 18.94/19.16 (define @t3363 () (tptp.hBOOL @t3362)) % 18.94/19.16 (define @t3364 () (and (tptp.hBOOL (tptp.hAPP @t2233 @t2517)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2517) @t118)) @t3360)) % 18.94/19.16 (define @t3365 () (tptp.hAPP @t56 (tptp.hAPP (tptp.hAPP @t3284 @t831) @t118))) % 18.94/19.16 (define @t3366 () (@list @t118 @t831 @t56)) % 18.94/19.16 (define @t3367 () (tptp.hAPP @t2184 @t1868)) % 18.94/19.16 (define @t3368 () (tptp.hAPP @t3284 @t1791)) % 18.94/19.16 (define @t3369 () (tptp.c_SMT_Oz3div @t1791 @t1868)) % 18.94/19.16 (define @t3370 () (tptp.hBOOL (tptp.hAPP @t2233 @t1868))) % 18.94/19.16 (define @t3371 () (not @t3370)) % 18.94/19.16 (define @t3372 () (tptp.hAPP @t3368 @t1868)) % 18.94/19.16 (define @t3373 () (@list @t1791 @t1868)) % 18.94/19.16 (define @t3374 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t3375 () (tptp.hAPP @t3374 @t81)) % 18.94/19.16 (define @t3376 () (tptp.hAPP @t3375 @t85)) % 18.94/19.16 (define @t3377 () (tptp.hAPP @t1752 @t85)) % 18.94/19.16 (define @t3378 () (tptp.hAPP @t3377 @t82)) % 18.94/19.16 (define @t3379 () (tptp.hAPP @t3374 @t1536)) % 18.94/19.16 (define @t3380 () (tptp.hAPP @t3374 @t1537)) % 18.94/19.16 (define @t3381 () (tptp.hAPP @t3380 @t1536)) % 18.94/19.16 (define @t3382 () (=> @t1865 (= @t3381 @t1949))) % 18.94/19.16 (define @t3383 () (tptp.hAPP (tptp.hAPP @t3374 @t1904) @t1903)) % 18.94/19.16 (define @t3384 () (= @t3383 @t3381)) % 18.94/19.16 (define @t3385 () (= @t1791 @t1949)) % 18.94/19.16 (define @t3386 () (tptp.hAPP @t2182 @t85)) % 18.94/19.16 (define @t3387 () (tptp.hAPP @t2182 @t81)) % 18.94/19.16 (define @t3388 () (tptp.hAPP @t3374 @t1791)) % 18.94/19.16 (define @t3389 () (tptp.hAPP @t1754 @t1599)) % 18.94/19.16 (define @t3390 () (tptp.hBOOL (tptp.hAPP @t3389 @t1536))) % 18.94/19.16 (define @t3391 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t3374 @t1810) @t1536))) % 18.94/19.16 (define @t3392 () (= @t3381 @t3391)) % 18.94/19.16 (define @t3393 () (=> @t1926 @t3392)) % 18.94/19.16 (define @t3394 () (= @t831 (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t1998 @t452)) @t2517))) % 18.94/19.16 (define @t3395 () (tptp.hBOOL (tptp.hAPP @t2518 @t118))) % 18.94/19.16 (define @t3396 () (@list @t452 @t2517)) % 18.94/19.16 (define @t3397 () (not @t1997)) % 18.94/19.16 (define @t3398 () (tptp.hAPP (tptp.hAPP @t3374 @t2663) @t2662)) % 18.94/19.16 (define @t3399 () (tptp.hAPP tptp.c_Int_Onat @t3300)) % 18.94/19.16 (define @t3400 () (@var "B_q" $$unsorted)) % 18.94/19.16 (define @t3401 () (@list @t3400)) % 18.94/19.16 (define @t3402 () (tptp.hAPP (tptp.hAPP @t3374 @t561) @t831)) % 18.94/19.16 (define @t3403 () (@var "V_q_2" $$unsorted)) % 18.94/19.16 (define @t3404 () (tptp.c_Nitpick_Onat__gcd @t32 @t64)) % 18.94/19.16 (define @t3405 () (forall @t7 (=> @t2717 @t1576))) % 18.94/19.16 (define @t3406 () (@var "B_c2" $$unsorted)) % 18.94/19.16 (define @t3407 () (@var "B_c1" $$unsorted)) % 18.94/19.16 (define @t3408 () (@var "B_c" $$unsorted)) % 18.94/19.16 (define @t3409 () (tptp.hBOOL (tptp.hAPP @t2713 @t2517))) % 18.94/19.16 (define @t3410 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t831 @t118)) % 18.94/19.16 (define @t3411 () (tptp.hBOOL (tptp.hAPP @t3365 @t3410))) % 18.94/19.16 (define @t3412 () (@list @t831 @t56 @t118)) % 18.94/19.16 (define @t3413 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t32 @t1537)) % 18.94/19.16 (define @t3414 () (@list @t64 @t1537 @t32)) % 18.94/19.16 (define @t3415 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t32 @t64)) % 18.94/19.16 (define @t3416 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2442 @t1537)) % 18.94/19.16 (define @t3417 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t85)) % 18.94/19.16 (define @t3418 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3288 @t85)) % 18.94/19.16 (define @t3419 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t3291)) % 18.94/19.16 (define @t3420 () (tptp.c_Divides_Odiv__class_Omod @t33 @t1629 @t82)) % 18.94/19.16 (define @t3421 () (tptp.c_Divides_Odiv__class_Omod @t33 @t85 @t82)) % 18.94/19.16 (define @t3422 () (= @t3421 (tptp.c_Divides_Odiv__class_Omod @t33 @t2339 @t82))) % 18.94/19.16 (define @t3423 () (tptp.c_Divides_Odiv__class_Omod @t33 @t81 @t82)) % 18.94/19.16 (define @t3424 () (= @t3423 (tptp.c_Divides_Odiv__class_Omod @t33 @t3338 @t82))) % 18.94/19.16 (define @t3425 () (@list @t2339 @t85 @t3338 @t82 @t81 @t33)) % 18.94/19.16 (define @t3426 () (tptp.hAPP @t1627 @t3423)) % 18.94/19.16 (define @t3427 () (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP @t3426 @t85) @t82)) % 18.94/19.16 (define @t3428 () (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP @t1628 @t3421) @t82)) % 18.94/19.16 (define @t3429 () (tptp.c_Divides_Odiv__class_Omod @t33 @t81 @t85)) % 18.94/19.16 (define @t3430 () (tptp.c_Divides_Odiv__class_Omod @t33 @t1245 @t82)) % 18.94/19.16 (define @t3431 () (tptp.hAPP @t1239 @t3423)) % 18.94/19.16 (define @t3432 () (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP @t3431 @t85) @t82)) % 18.94/19.16 (define @t3433 () (tptp.c_Divides_Odiv__class_Omod @t33 @t881 @t82)) % 18.94/19.16 (define @t3434 () (tptp.class_Divides_Oring__div @t33)) % 18.94/19.16 (define @t3435 () (tptp.hAPP @t877 @t3423)) % 18.94/19.16 (define @t3436 () (tptp.c_Divides_Odiv__class_Omod @t33 @t408 @t85)) % 18.94/19.16 (define @t3437 () (tptp.hAPP @t2331 @t85)) % 18.94/19.16 (define @t3438 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3437 @t82)) % 18.94/19.16 (define @t3439 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t85 @t82)) % 18.94/19.16 (define @t3440 () (tptp.hAPP @t2331 @t3439)) % 18.94/19.16 (define @t3441 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3440 @t82)) % 18.94/19.16 (define @t3442 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3417) @t85))) % 18.94/19.16 (define @t3443 () (@list @t81 @t85)) % 18.94/19.16 (define @t3444 () (tptp.hBOOL (tptp.hAPP @t2360 @t3417))) % 18.94/19.16 (define @t3445 () (@list @t215 @t561)) % 18.94/19.16 (define @t3446 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1791 @t1868)) % 18.94/19.16 (define @t3447 () (not (= @t3446 @t2188))) % 18.94/19.16 (define @t3448 () (@list @t1868 @t1791)) % 18.94/19.16 (define @t3449 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1791 @t3367)) % 18.94/19.16 (define @t3450 () (tptp.hAPP @t3284 @t85)) % 18.94/19.16 (define @t3451 () (tptp.hAPP @t3450 @t82)) % 18.94/19.16 (define @t3452 () (tptp.hAPP @t2201 @t81)) % 18.94/19.16 (define @t3453 () (tptp.hAPP @t3452 @t85)) % 18.94/19.16 (define @t3454 () (tptp.hAPP (tptp.hAPP @t1239 @t3316) @t85)) % 18.94/19.16 (define @t3455 () (tptp.hAPP (tptp.hAPP @t1627 (tptp.hAPP @t1246 @t3316)) @t3429)) % 18.94/19.16 (define @t3456 () (tptp.hAPP (tptp.hAPP @t1627 @t3454) @t3429)) % 18.94/19.16 (define @t3457 () (= @t3417 @t81)) % 18.94/19.16 (define @t3458 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t3417) @t2188))) % 18.94/19.16 (define @t3459 () (tptp.hBOOL (tptp.hAPP @t2233 @t3417))) % 18.94/19.16 (define @t3460 () (= @t3417 @t2188)) % 18.94/19.16 (define @t3461 () (not @t3460)) % 18.94/19.16 (define @t3462 () (tptp.hAPP @t2211 @t85)) % 18.94/19.16 (define @t3463 () (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t2352 @t3295)) @t3417)) % 18.94/19.16 (define @t3464 () (tptp.hAPP @t3452 @t1791)) % 18.94/19.16 (define @t3465 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1537 @t1536)) % 18.94/19.16 (define @t3466 () (tptp.hAPP @t2211 @t1537)) % 18.94/19.16 (define @t3467 () (tptp.hAPP (tptp.hAPP @t3284 @t1537) @t1536)) % 18.94/19.16 (define @t3468 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t3453) @t2188))) % 18.94/19.16 (define @t3469 () (tptp.hBOOL (tptp.hAPP @t56 @t2517))) % 18.94/19.16 (define @t3470 () (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t2352 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2329 @t82))) @t2082)) % 18.94/19.16 (define @t3471 () (@list @t2329 @t85 @t2082 @t82)) % 18.94/19.16 (define @t3472 () (@list @t2329 @t2082 @t85 @t82)) % 18.94/19.16 (define @t3473 () (@var "V_q_1" $$unsorted)) % 18.94/19.16 (define @t3474 () (tptp.hAPP @t2184 @t3295)) % 18.94/19.16 (define @t3475 () (tptp.hAPP (tptp.hAPP @t2211 @t3474) @t2205)) % 18.94/19.16 (define @t3476 () (not (= @t85 @t2188))) % 18.94/19.16 (define @t3477 () (tptp.c_SMT_Oz3mod @t1791 @t1868)) % 18.94/19.16 (define @t3478 () (tptp.c_Equiv__Relations_Oquotient @t10)) % 18.94/19.16 (define @t3479 () (tptp.hAPP (tptp.hAPP @t3478 @t23) @t124)) % 18.94/19.16 (define @t3480 () (tptp.tc_prod @t10 @t10)) % 18.94/19.16 (define @t3481 () (tptp.tc_fun @t3480 tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t3482 () (tptp.c_Fun_Oinj__on @t10 @t109 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3481 @t109) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 (tptp.tc_fun @t3481 @t109) @t10) @t3478) @t952)) @t124) @t23)) % 18.94/19.16 (define @t3483 () (@list @t124 @t23 @t10)) % 18.94/19.16 (define @t3484 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1537 @t1536)) % 18.94/19.16 (define @t3485 () (tptp.hAPP tptp.c_Nat_OSuc @t3484)) % 18.94/19.16 (define @t3486 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2460 @t1536)) % 18.94/19.16 (define @t3487 () (=> @t1865 (= @t3484 @t1537))) % 18.94/19.16 (define @t3488 () (tptp.hAPP @t1512 @t3484)) % 18.94/19.16 (define @t3489 () (@list @t124 @t10)) % 18.94/19.16 (define @t3490 () (= @t3485 @t1536)) % 18.94/19.16 (define @t3491 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1810 @t1536)) % 18.94/19.16 (define @t3492 () (= @t3484 @t3491)) % 18.94/19.16 (define @t3493 () (=> @t1926 @t3492)) % 18.94/19.16 (define @t3494 () (tptp.hAPP (tptp.hAPP @t1596 @t1903) @t1537)) % 18.94/19.16 (define @t3495 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t32 @t64)) % 18.94/19.16 (define @t3496 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t81 @t85)) % 18.94/19.16 (define @t3497 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t85 @t82)) % 18.94/19.16 (define @t3498 () (tptp.hAPP (tptp.hAPP @t3374 @t85) @t82)) % 18.94/19.16 (define @t3499 () (tptp.hAPP (tptp.hAPP @t1596 @t81) @t85)) % 18.94/19.16 (define @t3500 () (= @t64 @t1949)) % 18.94/19.16 (define @t3501 () (tptp.hAPP @t1752 @t81)) % 18.94/19.16 (define @t3502 () (tptp.hAPP @t3501 @t85)) % 18.94/19.16 (define @t3503 () (tptp.hAPP @t1780 @t3484)) % 18.94/19.16 (define @t3504 () (tptp.hAPP (tptp.hAPP @t1752 @t3381) @t1536)) % 18.94/19.16 (define @t3505 () (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t3377 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2329 @t82))) @t2082)) % 18.94/19.16 (define @t3506 () (tptp.hBOOL (tptp.hAPP @t1951 @t82))) % 18.94/19.16 (define @t3507 () (tptp.hAPP tptp.c_Int_Onat @t3415)) % 18.94/19.16 (define @t3508 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2663 @t2662)) % 18.94/19.16 (define @t3509 () (tptp.c_Relation_OImage @t10 @t10 @t124)) % 18.94/19.16 (define @t3510 () (tptp.c_COMBB @t25 @t25 @t10)) % 18.94/19.16 (define @t3511 () (tptp.hAPP @t3509 @t873)) % 18.94/19.16 (define @t3512 () (tptp.hAPP (tptp.hAPP @t3478 @t873) @t124)) % 18.94/19.16 (define @t3513 () (@list @t124 @t47 @t10)) % 18.94/19.16 (define @t3514 () (@list @t2 @t348 @t10 @t38)) % 18.94/19.16 (define @t3515 () (tptp.c_Relation_OImage @t38 @t10 @t124)) % 18.94/19.16 (define @t3516 () (tptp.hAPP (tptp.hAPP @t702 @t3515) @t22)) % 18.94/19.16 (define @t3517 () (tptp.hAPP @t308 @t3516)) % 18.94/19.16 (define @t3518 () (tptp.hAPP @t3515 @t1157)) % 18.94/19.16 (define @t3519 () (tptp.c_Relation_OImage @t38 @t10 @t361)) % 18.94/19.16 (define @t3520 () (tptp.hAPP @t3519 @t22)) % 18.94/19.16 (define @t3521 () (tptp.hAPP @t3519 @t23)) % 18.94/19.16 (define @t3522 () (tptp.hAPP (tptp.hAPP @t601 @t3521) @t3520)) % 18.94/19.16 (define @t3523 () (tptp.hAPP @t3519 @t651)) % 18.94/19.16 (define @t3524 () (@list @t22 @t23 @t361 @t38 @t10)) % 18.94/19.16 (define @t3525 () (@list @t361 @t10 @t38)) % 18.94/19.16 (define @t3526 () (tptp.c_Relation_OImage @t10 @t38 @t124)) % 18.94/19.16 (define @t3527 () (tptp.hAPP @t3526 @t23)) % 18.94/19.16 (define @t3528 () (@var "V_r_H_2" $$unsorted)) % 18.94/19.16 (define @t3529 () (tptp.c_Orderings_Oord__class_Oless__eq @t1322)) % 18.94/19.16 (define @t3530 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3529 @t3528) @t124))) % 18.94/19.16 (define @t3531 () (tptp.hAPP @t440 @t3521)) % 18.94/19.16 (define @t3532 () (tptp.tc_prod @t38 @t10)) % 18.94/19.16 (define @t3533 () (tptp.tc_fun @t3532 tptp.tc_HOL_Obool)) % 18.94/19.16 (define @t3534 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3533)) % 18.94/19.16 (define @t3535 () (tptp.hBOOL (tptp.hAPP @t274 @t3479))) % 18.94/19.16 (define @t3536 () (tptp.hAPP tptp.c_Nat_OSuc @t452)) % 18.94/19.16 (define @t3537 () (tptp.c_Orderings_Oord__class_Oless__eq @t3481)) % 18.94/19.16 (define @t3538 () (tptp.c_Orderings_Obot__class_Obot @t3481)) % 18.94/19.16 (define @t3539 () (= @t4 @t1434)) % 18.94/19.16 (define @t3540 () (tptp.hBOOL (tptp.hAPP @t2437 @t23))) % 18.94/19.16 (define @t3541 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t3542 () (tptp.hAPP @t3541 @t2151)) % 18.94/19.16 (define @t3543 () (tptp.hAPP (tptp.hAPP @t1548 @t3542) @t1599)) % 18.94/19.16 (define @t3544 () (@list @t2151)) % 18.94/19.16 (define @t3545 () (tptp.hAPP @t1956 @t3542)) % 18.94/19.16 (define @t3546 () (= @t3545 @t1955)) % 18.94/19.16 (define @t3547 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 18.94/19.16 (define @t3548 () (tptp.hAPP @t3547 @t2151)) % 18.94/19.16 (define @t3549 () (tptp.hBOOL (tptp.hAPP @t2233 @t3548))) % 18.94/19.16 (define @t3550 () (tptp.c_Int_Onumber__class_Onumber__of @t33)) % 18.94/19.16 (define @t3551 () (tptp.hAPP @t3550 @t2151)) % 18.94/19.16 (define @t3552 () (= @t3545 @t3551)) % 18.94/19.16 (define @t3553 () (tptp.class_Int_Onumber__ring @t33)) % 18.94/19.16 (define @t3554 () (@list @t2151 @t33)) % 18.94/19.16 (define @t3555 () (tptp.hAPP @t3550 @t1791)) % 18.94/19.16 (define @t3556 () (tptp.c_Int_Onumber__class_Onumber__of @t10)) % 18.94/19.16 (define @t3557 () (tptp.hAPP @t3556 @t97)) % 18.94/19.16 (define @t3558 () (tptp.hAPP @t3556 @t47)) % 18.94/19.16 (define @t3559 () (= @t3558 @t3557)) % 18.94/19.16 (define @t3560 () (tptp.class_Int_Onumber__ring @t10)) % 18.94/19.16 (define @t3561 () (and @t3560 @t2586)) % 18.94/19.16 (define @t3562 () (tptp.hAPP @t3556 @t1622)) % 18.94/19.16 (define @t3563 () (tptp.class_Int_Onumber @t10)) % 18.94/19.16 (define @t3564 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3548))) % 18.94/19.16 (define @t3565 () (not @t3564)) % 18.94/19.16 (define @t3566 () (tptp.hAPP @t3556 @t1234)) % 18.94/19.16 (define @t3567 () (tptp.hAPP @t967 @t3562)) % 18.94/19.16 (define @t3568 () (@list @t1622 @t1234 @t10)) % 18.94/19.16 (define @t3569 () (tptp.hAPP @t3556 @t2151)) % 18.94/19.16 (define @t3570 () (tptp.hAPP (tptp.hAPP @t1212 @t85) @t3569)) % 18.94/19.16 (define @t3571 () (tptp.hAPP (tptp.hAPP @t1212 @t81) @t3569)) % 18.94/19.16 (define @t3572 () (and @t3563 (tptp.class_Rings_Osemiring @t10))) % 18.94/19.16 (define @t3573 () (@list @t2151 @t85 @t81 @t10)) % 18.94/19.16 (define @t3574 () (tptp.hAPP @t1212 @t3569)) % 18.94/19.16 (define @t3575 () (tptp.hAPP @t3574 @t82)) % 18.94/19.16 (define @t3576 () (tptp.hAPP @t3574 @t85)) % 18.94/19.16 (define @t3577 () (@list @t82 @t85 @t2151 @t10)) % 18.94/19.16 (define @t3578 () (and @t3563 @t1719)) % 18.94/19.16 (define @t3579 () (tptp.hAPP @t99 @t3558)) % 18.94/19.16 (define @t3580 () (and @t3560 @t2085)) % 18.94/19.16 (define @t3581 () (tptp.hAPP @t967 @t3558)) % 18.94/19.16 (define @t3582 () (tptp.hAPP @t3556 @t1765)) % 18.94/19.16 (define @t3583 () (tptp.hAPP (tptp.hAPP @t2935 @t3582) @t3569)) % 18.94/19.16 (define @t3584 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3582) @t3569))) % 18.94/19.16 (define @t3585 () (not @t3584)) % 18.94/19.16 (define @t3586 () (and @t3563 @t388)) % 18.94/19.16 (define @t3587 () (@list @t2151 @t1765 @t10)) % 18.94/19.16 (define @t3588 () (tptp.hAPP (tptp.hAPP @t2939 @t3582) @t3569)) % 18.94/19.16 (define @t3589 () (tptp.hAPP @t3550 @t2278)) % 18.94/19.16 (define @t3590 () (tptp.hAPP @t1627 @t3551)) % 18.94/19.16 (define @t3591 () (tptp.hAPP @t3590 @t3589)) % 18.94/19.16 (define @t3592 () (tptp.hAPP @t2201 @t2151)) % 18.94/19.16 (define @t3593 () (tptp.hAPP @t3592 @t2278)) % 18.94/19.16 (define @t3594 () (tptp.hAPP @t3550 @t3593)) % 18.94/19.16 (define @t3595 () (@list @t2278 @t2151 @t33)) % 18.94/19.16 (define @t3596 () (@list @t70 @t2278 @t2151 @t33)) % 18.94/19.16 (define @t3597 () (tptp.hAPP @t1239 @t3551)) % 18.94/19.16 (define @t3598 () (tptp.hAPP @t3597 @t3589)) % 18.94/19.16 (define @t3599 () (tptp.hAPP @t2194 @t2151)) % 18.94/19.16 (define @t3600 () (tptp.hAPP @t3599 @t2278)) % 18.94/19.16 (define @t3601 () (tptp.hAPP @t3550 @t3600)) % 18.94/19.16 (define @t3602 () (tptp.hAPP @t877 @t3551)) % 18.94/19.16 (define @t3603 () (tptp.hAPP @t3602 @t3589)) % 18.94/19.16 (define @t3604 () (tptp.hAPP @t404 @t3589)) % 18.94/19.16 (define @t3605 () (tptp.hAPP @t3550 @t2295)) % 18.94/19.16 (define @t3606 () (@list @t2278 @t33)) % 18.94/19.16 (define @t3607 () (tptp.hAPP @t210 @t3562)) % 18.94/19.16 (define @t3608 () (@list @t1622 @t10)) % 18.94/19.16 (define @t3609 () (= @t3562 @t1939)) % 18.94/19.16 (define @t3610 () (=> @t3609 @t1966)) % 18.94/19.16 (define @t3611 () (tptp.hAPP @t1284 @t3562)) % 18.94/19.16 (define @t3612 () (not @t3609)) % 18.94/19.16 (define @t3613 () (tptp.hAPP @t3138 @t3562)) % 18.94/19.16 (define @t3614 () (and @t3243 @t3563)) % 18.94/19.16 (define @t3615 () (@list @t219 @t1622 @t216 @t10)) % 18.94/19.16 (define @t3616 () (=> @t3141 @t3609)) % 18.94/19.16 (define @t3617 () (tptp.hAPP (tptp.hAPP @t1212 @t3562) @t220)) % 18.94/19.16 (define @t3618 () (@list @t1622 @t220 @t216 @t10)) % 18.94/19.16 (define @t3619 () (@list @t220 @t216 @t1622 @t10)) % 18.94/19.16 (define @t3620 () (@list @t1622 @t216 @t219 @t10)) % 18.94/19.16 (define @t3621 () (tptp.hAPP @t3592 @t2295)) % 18.94/19.16 (define @t3622 () (tptp.hAPP @t3550 @t3621)) % 18.94/19.16 (define @t3623 () (tptp.hBOOL (tptp.hAPP @t3567 @t1939))) % 18.94/19.16 (define @t3624 () (not @t3623)) % 18.94/19.16 (define @t3625 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t3611) @t216))) % 18.94/19.16 (define @t3626 () (tptp.hBOOL (tptp.hAPP @t1953 @t3562))) % 18.94/19.16 (define @t3627 () (not @t3626)) % 18.94/19.16 (define @t3628 () (tptp.hBOOL (tptp.hAPP @t1028 @t3611))) % 18.94/19.16 (define @t3629 () (and @t3224 @t3563)) % 18.94/19.16 (define @t3630 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t3617) @t216))) % 18.94/19.16 (define @t3631 () (tptp.hBOOL (tptp.hAPP @t1028 @t3617))) % 18.94/19.16 (define @t3632 () (tptp.hAPP @t3550 @t32)) % 18.94/19.16 (define @t3633 () (tptp.hAPP @t2735 @t3632)) % 18.94/19.16 (define @t3634 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3632) @t1955))) % 18.94/19.16 (define @t3635 () (and @t3553 @t1345)) % 18.94/19.16 (define @t3636 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3611) @t216))) % 18.94/19.16 (define @t3637 () (tptp.hBOOL (tptp.hAPP @t217 @t3611))) % 18.94/19.16 (define @t3638 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3617) @t216))) % 18.94/19.16 (define @t3639 () (tptp.hBOOL (tptp.hAPP @t217 @t3617))) % 18.94/19.16 (define @t3640 () (tptp.hAPP @t99 @t3562)) % 18.94/19.16 (define @t3641 () (@var "V_v_H" $$unsorted)) % 18.94/19.16 (define @t3642 () (tptp.hAPP @t3547 @t3641)) % 18.94/19.16 (define @t3643 () (tptp.hAPP @t3541 @t3641)) % 18.94/19.16 (define @t3644 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2451 @t3643)) % 18.94/19.16 (define @t3645 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3642))) % 18.94/19.16 (define @t3646 () (not @t3645)) % 18.94/19.16 (define @t3647 () (@list @t3641)) % 18.94/19.16 (define @t3648 () (tptp.hAPP @t3284 @t2205)) % 18.94/19.16 (define @t3649 () (tptp.c_Int_OBit1 @t1622)) % 18.94/19.16 (define @t3650 () (tptp.hAPP @t3541 @t3649)) % 18.94/19.16 (define @t3651 () (tptp.hAPP @t3157 @t3566)) % 18.94/19.16 (define @t3652 () (tptp.hAPP @t3651 @t3650)) % 18.94/19.16 (define @t3653 () (tptp.hAPP @t3547 @t1622)) % 18.94/19.16 (define @t3654 () (tptp.hBOOL (tptp.hAPP @t2233 @t3653))) % 18.94/19.16 (define @t3655 () (not @t3654)) % 18.94/19.16 (define @t3656 () (tptp.c_COMBB @t10 @t1180 @t10)) % 18.94/19.16 (define @t3657 () (tptp.hAPP @t3656 @t1212)) % 18.94/19.16 (define @t3658 () (tptp.c_COMBS @t10 @t10 @t10)) % 18.94/19.16 (define @t3659 () (tptp.hAPP @t3541 @t1622)) % 18.94/19.16 (define @t3660 () (tptp.c_HOL_OLet @t10 @t10)) % 18.94/19.16 (define @t3661 () (tptp.hAPP @t3660 (tptp.hAPP @t3651 @t3659))) % 18.94/19.16 (define @t3662 () (tptp.hAPP @t3541 @t2278)) % 18.94/19.16 (define @t3663 () (tptp.hAPP @t3106 @t3548)) % 18.94/19.16 (define @t3664 () (tptp.hAPP @t3128 @t3542)) % 18.94/19.16 (define @t3665 () (tptp.hAPP @t3664 @t3662)) % 18.94/19.16 (define @t3666 () (tptp.hAPP @t3128 @t1949)) % 18.94/19.16 (define @t3667 () (@list @t2278 @t2151)) % 18.94/19.16 (define @t3668 () (tptp.hBOOL (tptp.hAPP @t2774 @t395))) % 18.94/19.16 (define @t3669 () (tptp.hAPP @t3547 @t395)) % 18.94/19.16 (define @t3670 () (tptp.hAPP @t3547 @t118)) % 18.94/19.16 (define @t3671 () (tptp.hAPP @t3547 @t2278)) % 18.94/19.16 (define @t3672 () (tptp.hAPP @t2201 @t3548)) % 18.94/19.16 (define @t3673 () (tptp.hAPP @t2184 @t3671)) % 18.94/19.16 (define @t3674 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3653))) % 18.94/19.16 (define @t3675 () (@list @t1622)) % 18.94/19.16 (define @t3676 () (= @t118 @t395)) % 18.94/19.16 (define @t3677 () (tptp.c_Int_OBit1 @t395)) % 18.94/19.16 (define @t3678 () (tptp.c_Int_OBit1 @t118)) % 18.94/19.16 (define @t3679 () (tptp.hAPP @t2190 @t3678)) % 18.94/19.16 (define @t3680 () (@var "V_k2_2" $$unsorted)) % 18.94/19.16 (define @t3681 () (@var "V_k1_2" $$unsorted)) % 18.94/19.16 (define @t3682 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3681) @t3680))) % 18.94/19.16 (define @t3683 () (tptp.c_Int_OBit1 @t3680)) % 18.94/19.16 (define @t3684 () (tptp.c_Int_OBit1 @t3681)) % 18.94/19.16 (define @t3685 () (tptp.hAPP @t2190 @t3684)) % 18.94/19.16 (define @t3686 () (@list @t3680 @t3681)) % 18.94/19.16 (define @t3687 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t3681) @t3680))) % 18.94/19.16 (define @t3688 () (tptp.hAPP @t2186 @t3684)) % 18.94/19.16 (define @t3689 () (tptp.hAPP @t2186 @t3678)) % 18.94/19.16 (define @t3690 () (tptp.hBOOL (tptp.hAPP @t2273 @t2188))) % 18.94/19.16 (define @t3691 () (tptp.c_Int_OBit1 @t1791)) % 18.94/19.16 (define @t3692 () (tptp.hAPP (tptp.hAPP @t2693 @t1596) @t2771)) % 18.94/19.16 (define @t3693 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t3659)) % 18.94/19.16 (define @t3694 () (tptp.hAPP @t1708 @t3589)) % 18.94/19.16 (define @t3695 () (tptp.hAPP @t3550 (tptp.c_Int_OBit1 @t2278))) % 18.94/19.16 (define @t3696 () (tptp.hAPP @t3157 @t513)) % 18.94/19.16 (define @t3697 () (tptp.hAPP @t3696 @t3650)) % 18.94/19.16 (define @t3698 () (tptp.hAPP @t3660 (tptp.hAPP @t3696 @t3659))) % 18.94/19.16 (define @t3699 () (tptp.hAPP @t3106 @t513)) % 18.94/19.16 (define @t3700 () (tptp.hAPP @t3699 @t3650)) % 18.94/19.16 (define @t3701 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 18.94/19.16 (define @t3702 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 18.94/19.16 (define @t3703 () (tptp.c_COMBB tptp.tc_Int_Oint @t3702 tptp.tc_Int_Oint)) % 18.94/19.16 (define @t3704 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 18.94/19.16 (define @t3705 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t3699 @t3659))) % 18.94/19.16 (define @t3706 () (= @t3542 @t1949)) % 18.94/19.16 (define @t3707 () (tptp.hAPP @t3547 @t1234)) % 18.94/19.16 (define @t3708 () (@var "V_v_H_2" $$unsorted)) % 18.94/19.16 (define @t3709 () (tptp.hAPP @t3547 @t3708)) % 18.94/19.16 (define @t3710 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3709))) % 18.94/19.16 (define @t3711 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3707))) % 18.94/19.16 (define @t3712 () (tptp.hAPP @t3541 @t3708)) % 18.94/19.16 (define @t3713 () (tptp.hAPP @t3541 @t1234)) % 18.94/19.16 (define @t3714 () (@list @t3708 @t1234)) % 18.94/19.16 (define @t3715 () (tptp.hAPP @t3541 (tptp.hAPP @t3592 @t3641))) % 18.94/19.16 (define @t3716 () (tptp.hAPP (tptp.hAPP @t1596 @t3643) @t1791)) % 18.94/19.16 (define @t3717 () (tptp.hAPP @t1596 @t3542)) % 18.94/19.16 (define @t3718 () (tptp.hAPP @t3717 @t3716)) % 18.94/19.16 (define @t3719 () (@list @t1791 @t3641 @t2151)) % 18.94/19.16 (define @t3720 () (tptp.hAPP @t2182 @t3542)) % 18.94/19.16 (define @t3721 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3542 @t3643)) % 18.94/19.16 (define @t3722 () (@list @t3641 @t2151)) % 18.94/19.16 (define @t3723 () (tptp.hAPP @t3284 @t3548)) % 18.94/19.16 (define @t3724 () (tptp.hAPP (tptp.hAPP @t3374 @t3542) @t3643)) % 18.94/19.16 (define @t3725 () (tptp.hAPP @t3664 @t1536)) % 18.94/19.16 (define @t3726 () (@list @t1536 @t2151)) % 18.94/19.16 (define @t3727 () (tptp.hAPP @t3541 (tptp.c_Int_Osucc @t2151))) % 18.94/19.16 (define @t3728 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t3717 @t1536))) % 18.94/19.16 (define @t3729 () (tptp.hAPP (tptp.hAPP @t1548 @t3713) @t3712)) % 18.94/19.16 (define @t3730 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3708) tptp.c_Int_OPls))) % 18.94/19.16 (define @t3731 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2692 tptp.tc_Int_Oint)) % 18.94/19.16 (define @t3732 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.16 (define @t3733 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 18.94/19.16 (define @t3734 () (tptp.hAPP @t3733 tptp.c_Nat_OSuc)) % 18.94/19.16 (define @t3735 () (tptp.hAPP @t3547 (tptp.c_Int_Opred @t1234))) % 18.94/19.16 (define @t3736 () (tptp.hAPP @t2921 @t3735)) % 18.94/19.16 (define @t3737 () (@list @t831 @t1234)) % 18.94/19.16 (define @t3738 () (@list @t1234 @t831)) % 18.94/19.16 (define @t3739 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 18.94/19.16 (define @t3740 () (tptp.c_Int_OBit1 @t1868)) % 18.94/19.16 (define @t3741 () (@list @t1868)) % 18.94/19.16 (define @t3742 () (tptp.hAPP @t2186 tptp.c_Int_OPls)) % 18.94/19.16 (define @t3743 () (tptp.hAPP @t2211 @t1791)) % 18.94/19.16 (define @t3744 () (tptp.hAPP @t2184 tptp.c_Int_OPls)) % 18.94/19.16 (define @t3745 () (tptp.hAPP @t2190 tptp.c_Int_OPls)) % 18.94/19.16 (define @t3746 () (tptp.hAPP @t2201 tptp.c_Int_OPls)) % 18.94/19.16 (define @t3747 () (tptp.hAPP @t3550 tptp.c_Int_OPls)) % 18.94/19.16 (define @t3748 () (tptp.hAPP @t3541 tptp.c_Int_OPls)) % 18.94/19.16 (define @t3749 () (tptp.hAPP @t3547 tptp.c_Int_OPls)) % 18.94/19.16 (define @t3750 () (tptp.hBOOL (tptp.hAPP @t3742 @t118))) % 18.94/19.16 (define @t3751 () (tptp.hBOOL (tptp.hAPP @t2239 tptp.c_Int_OPls))) % 18.94/19.16 (define @t3752 () (tptp.hAPP @t3541 (tptp.c_Int_Opred @t2151))) % 18.94/19.16 (define @t3753 () (tptp.hAPP @t3717 @t1599)) % 18.94/19.16 (define @t3754 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2151) tptp.c_Int_OPls))) % 18.94/19.16 (define @t3755 () (not @t3754)) % 18.94/19.16 (define @t3756 () (tptp.hAPP @t2529 @t3542)) % 18.94/19.16 (define @t3757 () (tptp.c_Int_Opred @t1791)) % 18.94/19.16 (define @t3758 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t2151) tptp.c_Int_OPls))) % 18.94/19.16 (define @t3759 () (tptp.hAPP @t3550 @t3739)) % 18.94/19.16 (define @t3760 () (and @t3195 @t3553)) % 18.94/19.16 (define @t3761 () (tptp.hAPP @t2186 @t1234)) % 18.94/19.16 (define @t3762 () (tptp.hBOOL (tptp.hAPP @t3761 tptp.c_Int_OPls))) % 18.94/19.16 (define @t3763 () (@list @t1234)) % 18.94/19.16 (define @t3764 () (= @t3713 @t1949)) % 18.94/19.16 (define @t3765 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t1234) @t3708))) % 18.94/19.16 (define @t3766 () (tptp.hAPP @t1754 @t3713)) % 18.94/19.16 (define @t3767 () (and @t3175 @t3553)) % 18.94/19.16 (define @t3768 () (tptp.hAPP @t1512 @t3713)) % 18.94/19.16 (define @t3769 () (tptp.hAPP @t3541 @t3739)) % 18.94/19.16 (define @t3770 () (tptp.c_Int_OBit1 @t3739)) % 18.94/19.16 (define @t3771 () (tptp.hAPP @t3547 @t3770)) % 18.94/19.16 (define @t3772 () (tptp.c_Int_Osucc @t1791)) % 18.94/19.16 (define @t3773 () (@list @t97 @t10)) % 18.94/19.16 (define @t3774 () (tptp.hAPP @t3541 @t3770)) % 18.94/19.16 (define @t3775 () (tptp.hAPP @t1596 @t3774)) % 18.94/19.16 (define @t3776 () (tptp.hAPP @t3775 @t1536)) % 18.94/19.16 (define @t3777 () (tptp.hAPP tptp.c_Nat_OSuc @t2459)) % 18.94/19.16 (define @t3778 () (tptp.hAPP tptp.c_Nat_OSuc @t3777)) % 18.94/19.16 (define @t3779 () (tptp.hAPP @t3717 @t3643)) % 18.94/19.16 (define @t3780 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3641) tptp.c_Int_OPls))) % 18.94/19.16 (define @t3781 () (tptp.hAPP @t2201 @t3739)) % 18.94/19.16 (define @t3782 () (tptp.hAPP @t3541 (tptp.hAPP @t3599 @t3641))) % 18.94/19.16 (define @t3783 () (tptp.hAPP @t1752 @t3542)) % 18.94/19.16 (define @t3784 () (tptp.hAPP @t3783 (tptp.hAPP (tptp.hAPP @t1752 @t3643) @t1791))) % 18.94/19.16 (define @t3785 () (tptp.hAPP @t3783 @t3643)) % 18.94/19.16 (define @t3786 () (tptp.hAPP @t3775 @t1537)) % 18.94/19.16 (define @t3787 () (tptp.hAPP tptp.c_Nat_OSuc @t2460)) % 18.94/19.16 (define @t3788 () (tptp.hAPP tptp.c_Nat_OSuc @t3787)) % 18.94/19.16 (define @t3789 () (@list @t2151 @t1537)) % 18.94/19.16 (define @t3790 () (tptp.hAPP @t3374 @t3786)) % 18.94/19.17 (define @t3791 () (tptp.hAPP @t3374 @t3788)) % 18.94/19.17 (define @t3792 () (tptp.hAPP @t2184 @t3739)) % 18.94/19.17 (define @t3793 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1650 tptp.tc_Int_Oint)) % 18.94/19.17 (define @t3794 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t3795 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 18.94/19.17 (define @t3796 () (tptp.hAPP (tptp.hAPP @t3795 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 18.94/19.17 (define @t3797 () (tptp.hAPP @t2868 (tptp.hAPP (tptp.hAPP @t2866 tptp.c_fimplies) @t3796))) % 18.94/19.17 (define @t3798 () (tptp.hAPP @t2868 (tptp.hAPP @t2867 @t3796))) % 18.94/19.17 (define @t3799 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t3735)) % 18.94/19.17 (define @t3800 () (tptp.hBOOL (tptp.hAPP @t3799 (tptp.hAPP @t3798 (tptp.hAPP @t3797 (tptp.hAPP (tptp.hAPP @t3794 (tptp.hAPP (tptp.hAPP @t3793 tptp.c_fequal) tptp.c_Int_Onat)) @t831)))))) % 18.94/19.17 (define @t3801 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1181 tptp.tc_Int_Oint) @t1179)) % 18.94/19.17 (define @t3802 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t10 @t1180) (tptp.hAPP @t3801 tptp.c_Nat__Numeral_Oneg))) % 18.94/19.17 (define @t3803 () (tptp.c_COMBS tptp.tc_Int_Oint @t10 @t10)) % 18.94/19.17 (define @t3804 () (tptp.hAPP @t3803 (tptp.hAPP @t3802 @t219))) % 18.94/19.17 (define @t3805 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t10)) % 18.94/19.17 (define @t3806 () (tptp.hAPP @t3805 @t3735)) % 18.94/19.17 (define @t3807 () (@list @t1234 @t2 @t219 @t10)) % 18.94/19.17 (define @t3808 () (tptp.hAPP tptp.c_Nat_OSuc @t3542)) % 18.94/19.17 (define @t3809 () (tptp.hAPP @t2918 (tptp.hAPP @t2917 @t2478))) % 18.94/19.17 (define @t3810 () (tptp.hAPP (tptp.hAPP @t3732 (tptp.hAPP (tptp.hAPP @t3731 @t1596) tptp.c_Int_Onat)) @t831)) % 18.94/19.17 (define @t3811 () (tptp.hAPP (tptp.hAPP @t1596 @t3713) @t831)) % 18.94/19.17 (define @t3812 () (@list @t831 @t1234 @t2 @t219 @t10)) % 18.94/19.17 (define @t3813 () (tptp.c_Nat_Onat_Onat__rec @t10 @t219 @t2)) % 18.94/19.17 (define @t3814 () (tptp.hAPP @t2646 @t3813)) % 18.94/19.17 (define @t3815 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t1180 tptp.tc_Int_Oint) @t2)) % 18.94/19.17 (define @t3816 () (tptp.hAPP @t2184 @t97)) % 18.94/19.17 (define @t3817 () (tptp.hAPP @t2201 @t47)) % 18.94/19.17 (define @t3818 () (tptp.c_Nat_Onat_Onat__rec @t10 @t2780 @t2781)) % 18.94/19.17 (define @t3819 () (tptp.hAPP (tptp.hAPP @t2201 @t85) @t2205)) % 18.94/19.17 (define @t3820 () (tptp.c_Int_OBit0 @t3739)) % 18.94/19.17 (define @t3821 () (tptp.hAPP @t3547 @t3820)) % 18.94/19.17 (define @t3822 () (tptp.hAPP @t2194 @t3821)) % 18.94/19.17 (define @t3823 () (tptp.hAPP @t3822 @t81)) % 18.94/19.17 (define @t3824 () (tptp.hAPP @t3822 @t85)) % 18.94/19.17 (define @t3825 () (tptp.hAPP @t2260 @t3824)) % 18.94/19.17 (define @t3826 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3825 @t3823)) % 18.94/19.17 (define @t3827 () (tptp.hAPP @t3672 @t2205)) % 18.94/19.17 (define @t3828 () (tptp.c_Int_OBit0 @t2278)) % 18.94/19.17 (define @t3829 () (tptp.hAPP @t3547 @t3828)) % 18.94/19.17 (define @t3830 () (tptp.hAPP @t3547 (tptp.c_Int_OBit1 @t2151))) % 18.94/19.17 (define @t3831 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3830 @t3829)) % 18.94/19.17 (define @t3832 () (tptp.hBOOL (tptp.hAPP @t2233 @t3671))) % 18.94/19.17 (define @t3833 () (not @t3832)) % 18.94/19.17 (define @t3834 () (tptp.hAPP @t3822 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3548 @t3671))) % 18.94/19.17 (define @t3835 () (@list @t2151 @t2278)) % 18.94/19.17 (define @t3836 () (tptp.hAPP @t2201 @t219)) % 18.94/19.17 (define @t3837 () (tptp.c_Int_OBit0 @t1791)) % 18.94/19.17 (define @t3838 () (tptp.c_Int_OBit0 @t1868)) % 18.94/19.17 (define @t3839 () (tptp.c_Int_OBit0 @t395)) % 18.94/19.17 (define @t3840 () (tptp.c_Int_OBit0 @t118)) % 18.94/19.17 (define @t3841 () (tptp.hAPP @t2186 @t3840)) % 18.94/19.17 (define @t3842 () (tptp.c_Int_OBit0 @t3680)) % 18.94/19.17 (define @t3843 () (tptp.c_Int_OBit0 @t3681)) % 18.94/19.17 (define @t3844 () (tptp.hAPP @t2186 @t3843)) % 18.94/19.17 (define @t3845 () (tptp.hAPP @t3743 @t1868)) % 18.94/19.17 (define @t3846 () (tptp.c_Int_OBit0 @t3845)) % 18.94/19.17 (define @t3847 () (tptp.hAPP @t2211 @t3837)) % 18.94/19.17 (define @t3848 () (tptp.c_Int_OBit0 (tptp.hAPP @t2236 @t1868))) % 18.94/19.17 (define @t3849 () (tptp.hAPP @t2190 @t3843)) % 18.94/19.17 (define @t3850 () (tptp.hAPP @t2190 @t3840)) % 18.94/19.17 (define @t3851 () (tptp.hAPP @t2301 @t1868)) % 18.94/19.17 (define @t3852 () (tptp.hAPP @t2201 @t3837)) % 18.94/19.17 (define @t3853 () (@list @t395)) % 18.94/19.17 (define @t3854 () (tptp.c_Int_OBit0 @t1622)) % 18.94/19.17 (define @t3855 () (tptp.c_Int_OBit1 @t3851)) % 18.94/19.17 (define @t3856 () (tptp.hAPP @t2201 @t3691)) % 18.94/19.17 (define @t3857 () (tptp.hAPP @t2211 tptp.c_Int_OPls)) % 18.94/19.17 (define @t3858 () (tptp.hAPP @t2211 @t3691)) % 18.94/19.17 (define @t3859 () (tptp.hAPP @t3723 @t3671)) % 18.94/19.17 (define @t3860 () (tptp.hAPP @t3547 (tptp.c_Int_OBit0 @t2151))) % 18.94/19.17 (define @t3861 () (tptp.hAPP @t3541 @t3854)) % 18.94/19.17 (define @t3862 () (tptp.hAPP @t3550 @t3828)) % 18.94/19.17 (define @t3863 () (tptp.hAPP @t3541 @t3820)) % 18.94/19.17 (define @t3864 () (tptp.hAPP (tptp.hAPP @t3658 @t1212) @t744)) % 18.94/19.17 (define @t3865 () (tptp.hAPP @t3547 @t1536)) % 18.94/19.17 (define @t3866 () (tptp.hAPP @t3269 @t70)) % 18.94/19.17 (define @t3867 () (tptp.hAPP @t3550 @t3820)) % 18.94/19.17 (define @t3868 () (tptp.hAPP @t1239 @t3867)) % 18.94/19.17 (define @t3869 () (tptp.hAPP @t3158 @t3863)) % 18.94/19.17 (define @t3870 () (tptp.hAPP @t3112 @t3863)) % 18.94/19.17 (define @t3871 () (tptp.hAPP @t3169 @t3863)) % 18.94/19.17 (define @t3872 () (tptp.hAPP (tptp.hAPP @t1596 @t70) @t70)) % 18.94/19.17 (define @t3873 () (tptp.hAPP @t1752 @t3863)) % 18.94/19.17 (define @t3874 () (tptp.hAPP (tptp.hAPP @t3110 @t3170) @t3863)) % 18.94/19.17 (define @t3875 () (tptp.hAPP @t3873 @t1536)) % 18.94/19.17 (define @t3876 () (tptp.hAPP @t3169 @t3875)) % 18.94/19.17 (define @t3877 () (tptp.hAPP tptp.c_Int_Onat @t3821)) % 18.94/19.17 (define @t3878 () (tptp.hAPP @t3121 @t3863)) % 18.94/19.17 (define @t3879 () (tptp.hAPP (tptp.hAPP @t1594 (tptp.hAPP @t3161 @t3863)) (tptp.hAPP (tptp.hAPP @t3157 @t97) @t3863))) % 18.94/19.17 (define @t3880 () (tptp.hAPP @t3556 @t2278)) % 18.94/19.17 (define @t3881 () (tptp.hAPP @t3112 @t1536)) % 18.94/19.17 (define @t3882 () (tptp.hAPP (tptp.hAPP @t1239 @t3881) @t3881)) % 18.94/19.17 (define @t3883 () (@list @t1536 @t32 @t33)) % 18.94/19.17 (define @t3884 () (tptp.hAPP (tptp.hAPP @t1627 @t3870) @t3878)) % 18.94/19.17 (define @t3885 () (tptp.hAPP (tptp.hAPP @t1239 (tptp.hAPP @t3868 @t32)) @t64)) % 18.94/19.17 (define @t3886 () (tptp.hAPP tptp.c_Nat_OSuc @t3875)) % 18.94/19.17 (define @t3887 () (tptp.hAPP @t3169 @t3886)) % 18.94/19.17 (define @t3888 () (tptp.hAPP (tptp.hAPP @t3284 @t3830) @t3829)) % 18.94/19.17 (define @t3889 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t561 @t3863)) % 18.94/19.17 (define @t3890 () (tptp.hAPP @t1956 @t2663)) % 18.94/19.17 (define @t3891 () (tptp.hAPP (tptp.hAPP @t3284 @t3825) @t3823)) % 18.94/19.17 (define @t3892 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.17 (define @t3893 () (tptp.hAPP @t3892 @t3820)) % 18.94/19.17 (define @t3894 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.17 (define @t3895 () (tptp.hAPP @t3822 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t3894 @t1791) @t3893)))) % 18.94/19.17 (define @t3896 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t1791)) % 18.94/19.17 (define @t3897 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.17 (define @t3898 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t1791 @t3893) @t3897)) % 18.94/19.17 (define @t3899 () (= @t1791 @t3897)) % 18.94/19.17 (define @t3900 () (tptp.hAPP (tptp.hAPP @t3658 @t1594) @t744)) % 18.94/19.17 (define @t3901 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t3902 () (tptp.hAPP (tptp.hAPP @t3901 tptp.c_fequal) @t2188)) % 18.94/19.17 (define @t3903 () (tptp.tc_fun @t1180 @t10)) % 18.94/19.17 (define @t3904 () (tptp.tc_fun tptp.tc_Int_Oint @t10)) % 18.94/19.17 (define @t3905 () (tptp.tc_fun tptp.tc_Int_Oint @t1180)) % 18.94/19.17 (define @t3906 () (tptp.hAPP @t2701 @t118)) % 18.94/19.17 (define @t3907 () (not @t3320)) % 18.94/19.17 (define @t3908 () (tptp.hAPP @t3550 tptp.c_Int_OMin)) % 18.94/19.17 (define @t3909 () (tptp.hAPP @t3110 @t3908)) % 18.94/19.17 (define @t3910 () (tptp.hAPP @t2190 tptp.c_Int_OMin)) % 18.94/19.17 (define @t3911 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.17 (define @t3912 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.17 (define @t3913 () (tptp.hAPP @t2186 tptp.c_Int_OMin)) % 18.94/19.17 (define @t3914 () (tptp.hBOOL (tptp.hAPP @t2774 tptp.c_Int_OMin))) % 18.94/19.17 (define @t3915 () (tptp.hBOOL (tptp.hAPP @t3910 @t118))) % 18.94/19.17 (define @t3916 () (tptp.hAPP @t3547 tptp.c_Int_OMin)) % 18.94/19.17 (define @t3917 () (tptp.hAPP @t404 @t70)) % 18.94/19.17 (define @t3918 () (tptp.hAPP @t2211 tptp.c_Int_OMin)) % 18.94/19.17 (define @t3919 () (tptp.hAPP @t3918 @t1868)) % 18.94/19.17 (define @t3920 () (tptp.c_Int_OBit1 @t3919)) % 18.94/19.17 (define @t3921 () (tptp.hAPP @t3462 @t2205)) % 18.94/19.17 (define @t3922 () (tptp.tc_fun tptp.tc_Int_Oint @t2271)) % 18.94/19.17 (define @t3923 () (tptp.c_COMBB @t2271 @t2271 tptp.tc_Int_Oint)) % 18.94/19.17 (define @t3924 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t3925 () (tptp.hAPP @t2867 (tptp.hAPP @t2186 @t215))) % 18.94/19.17 (define @t3926 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 18.94/19.17 (define @t3927 () (tptp.c_Set_OCollect @t3926)) % 18.94/19.17 (define @t3928 () (tptp.c_Int_Oint__ge__less__than2 @t215)) % 18.94/19.17 (define @t3929 () (@list @t215)) % 18.94/19.17 (define @t3930 () (tptp.tc_fun @t2271 @t2271)) % 18.94/19.17 (define @t3931 () (tptp.c_Int_Oint__ge__less__than @t215)) % 18.94/19.17 (define @t3932 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t38 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t3933 () (tptp.tc_fun @t10 @t111)) % 18.94/19.17 (define @t3934 () (tptp.c_Set_OCollect @t1321)) % 18.94/19.17 (define @t3935 () (tptp.hAPP (tptp.c_COMBB @t1170 @t799 @t10) @t2853)) % 18.94/19.17 (define @t3936 () (tptp.hAPP (tptp.hAPP @t803 (tptp.hAPP @t3935 @t1173)) @t1178)) % 18.94/19.17 (define @t3937 () (tptp.hAPP @t3912 @t1767)) % 18.94/19.17 (define @t3938 () (tptp.c_Code__Numeral_Onat__of__aux @t1767 @t1536)) % 18.94/19.17 (define @t3939 () (= @t1767 @t3897)) % 18.94/19.17 (define @t3940 () (tptp.hAPP @t3703 @t2201)) % 18.94/19.17 (define @t3941 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 18.94/19.17 (define @t3942 () (tptp.tc_fun tptp.tc_Int_Oint @t1170)) % 18.94/19.17 (define @t3943 () (tptp.c_Divides_Odivmod__int__rel @t219 @t216)) % 18.94/19.17 (define @t3944 () (tptp.c_Divides_Odivmod__int @t81 @t85)) % 18.94/19.17 (define @t3945 () (tptp.c_Divides_Odivmod__int__rel @t81 @t85)) % 18.94/19.17 (define @t3946 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 18.94/19.17 (define @t3947 () (tptp.hAPP @t3946 @t2329)) % 18.94/19.17 (define @t3948 () (tptp.hAPP @t3947 @t2082)) % 18.94/19.17 (define @t3949 () (tptp.hBOOL (tptp.hAPP @t3945 @t3948))) % 18.94/19.17 (define @t3950 () (@list @t82 @t2082 @t2329 @t85 @t81)) % 18.94/19.17 (define @t3951 () (tptp.c_Nat_Osemiring__1__class_ONats @t10)) % 18.94/19.17 (define @t3952 () (tptp.c_Orderings_Obot__class_Obot @t1322)) % 18.94/19.17 (define @t3953 () (tptp.c_Product__Type_OPair @t10 @t38)) % 18.94/19.17 (define @t3954 () (tptp.hAPP @t3953 @t47)) % 18.94/19.17 (define @t3955 () (tptp.hAPP @t3954 @t97)) % 18.94/19.17 (define @t3956 () (tptp.c_member @t1321)) % 18.94/19.17 (define @t3957 () (tptp.hAPP @t3956 @t3955)) % 18.94/19.17 (define @t3958 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t3933) @t47) @t97))) % 18.94/19.17 (define @t3959 () (@list @t97 @t47 @t38 @t10)) % 18.94/19.17 (define @t3960 () (tptp.tc_fun @t1322 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t3961 () (tptp.tc_fun @t38 @t3960)) % 18.94/19.17 (define @t3962 () (tptp.tc_fun @t38 @t1321)) % 18.94/19.17 (define @t3963 () (tptp.hAPP (tptp.c_COMBC @t10 @t1322 @t111) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3961 (tptp.tc_fun @t1322 @t111) @t10) (tptp.c_COMBC @t38 @t1322 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3962 @t3961 @t10) (tptp.hAPP (tptp.c_COMBB @t1321 @t3960 @t38) @t3956)) @t3953)))) % 18.94/19.17 (define @t3964 () (tptp.hAPP @t3963 @t348)) % 18.94/19.17 (define @t3965 () (tptp.hAPP @t3963 @t361)) % 18.94/19.17 (define @t3966 () (@list @t348 @t361 @t38 @t10)) % 18.94/19.17 (define @t3967 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1322)) % 18.94/19.17 (define @t3968 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3933)) % 18.94/19.17 (define @t3969 () (@list @t97 @t47 @t348 @t361 @t38 @t10)) % 18.94/19.17 (define @t3970 () (tptp.c_Orderings_Oord__class_Oless__eq @t3933)) % 18.94/19.17 (define @t3971 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1322)) % 18.94/19.17 (define @t3972 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3933)) % 18.94/19.17 (define @t3973 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3962 @t111 @t10) (tptp.hAPP (tptp.c_COMBB @t1321 tptp.tc_HOL_Obool @t38) @t56)) @t3953)) % 18.94/19.17 (define @t3974 () (tptp.c_COMBB @t111 tptp.tc_HOL_Obool @t10)) % 18.94/19.17 (define @t3975 () (and (tptp.class_Enum_Oenum @t38) @t115)) % 18.94/19.17 (define @t3976 () (@list @t56 @t10 @t38)) % 18.94/19.17 (define @t3977 () (tptp.c_Product__Type_OPair @t38 @t10)) % 18.94/19.17 (define @t3978 () (tptp.hAPP @t3977 @t3)) % 18.94/19.17 (define @t3979 () (tptp.c_member @t3532)) % 18.94/19.17 (define @t3980 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3979 (tptp.hAPP @t3978 @t216)) @t124))) % 18.94/19.17 (define @t3981 () (tptp.hAPP @t3515 @t23)) % 18.94/19.17 (define @t3982 () (tptp.hBOOL (tptp.hAPP @t287 @t3981))) % 18.94/19.17 (define @t3983 () (@list @t23 @t124 @t38 @t216 @t10)) % 18.94/19.17 (define @t3984 () (tptp.hAPP @t3953 @t219)) % 18.94/19.17 (define @t3985 () (tptp.hAPP @t3984 @t216)) % 18.94/19.17 (define @t3986 () (tptp.hAPP @t3956 @t3985)) % 18.94/19.17 (define @t3987 () (tptp.hBOOL (tptp.hAPP @t3986 @t124))) % 18.94/19.17 (define @t3988 () (tptp.hBOOL (tptp.hAPP @t3945 (tptp.hAPP (tptp.hAPP @t3946 @t2338) @t2341)))) % 18.94/19.17 (define @t3989 () (@list @t2341 @t2338 @t2082 @t2329 @t85 @t81)) % 18.94/19.17 (define @t3990 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t81 @t81) @t3948))) % 18.94/19.17 (define @t3991 () (@list @t2082 @t2329 @t81)) % 18.94/19.17 (define @t3992 () (tptp.hAPP @t3946 @t2188)) % 18.94/19.17 (define @t3993 () (tptp.hAPP @t3992 @t2188)) % 18.94/19.17 (define @t3994 () (tptp.tc_prod @t38 @t150)) % 18.94/19.17 (define @t3995 () (tptp.tc_fun @t3994 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t3996 () (tptp.c_Product__Type_OPair @t38 @t150)) % 18.94/19.17 (define @t3997 () (tptp.hAPP (tptp.hAPP @t3996 @t47) @t97)) % 18.94/19.17 (define @t3998 () (tptp.c_member @t3994)) % 18.94/19.17 (define @t3999 () (tptp.hAPP @t3998 @t3997)) % 18.94/19.17 (define @t4000 () (tptp.tc_fun @t3995 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4001 () (tptp.tc_fun @t150 @t4000)) % 18.94/19.17 (define @t4002 () (tptp.tc_fun @t150 @t3994)) % 18.94/19.17 (define @t4003 () (tptp.hAPP (tptp.c_COMBC @t38 @t3995 @t256) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4001 (tptp.tc_fun @t3995 @t256) @t38) (tptp.c_COMBC @t150 @t3995 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4002 @t4001 @t38) (tptp.hAPP (tptp.c_COMBB @t3994 @t4000 @t150) @t3998)) @t3996)))) % 18.94/19.17 (define @t4004 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3995 @t257 @t10) @t4003) @t124)) % 18.94/19.17 (define @t4005 () (@list @t97 @t47 @t124 @t150 @t38 @t10)) % 18.94/19.17 (define @t4006 () (@list @t2082 @t2329 @t85 @t81)) % 18.94/19.17 (define @t4007 () (tptp.hBOOL (tptp.hAPP @t287 @t3951))) % 18.94/19.17 (define @t4008 () (tptp.hBOOL (tptp.hAPP @t250 @t3951))) % 18.94/19.17 (define @t4009 () (tptp.hAPP @t3977 @t219)) % 18.94/19.17 (define @t4010 () (tptp.hAPP @t4009 @t216)) % 18.94/19.17 (define @t4011 () (tptp.hAPP @t3515 @t949)) % 18.94/19.17 (define @t4012 () (tptp.tc_fun @t3533 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4013 () (@var "V_br" $$unsorted)) % 18.94/19.17 (define @t4014 () (@var "V_ar" $$unsorted)) % 18.94/19.17 (define @t4015 () (tptp.hAPP (tptp.hAPP @t2201 @t4014) @t4013)) % 18.94/19.17 (define @t4016 () (@var "V_bq" $$unsorted)) % 18.94/19.17 (define @t4017 () (@var "V_aq" $$unsorted)) % 18.94/19.17 (define @t4018 () (not (= @t82 @t2188))) % 18.94/19.17 (define @t4019 () (tptp.c_Divides_Odivmod__int__rel @t85 @t82)) % 18.94/19.17 (define @t4020 () (@list @t4013 @t4016 @t85 @t4014 @t4017 @t82 @t81)) % 18.94/19.17 (define @t4021 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t124) @t2188))) % 18.94/19.17 (define @t4022 () (tptp.hAPP @t2184 @t3403)) % 18.94/19.17 (define @t4023 () (tptp.hAPP @t2184 @t219)) % 18.94/19.17 (define @t4024 () (tptp.hAPP (tptp.hAPP @t3946 @t3403) @t124)) % 18.94/19.17 (define @t4025 () (not @t3301)) % 18.94/19.17 (define @t4026 () (tptp.hAPP @t2331 @t2082)) % 18.94/19.17 (define @t4027 () (@list @t81 @t2082 @t2329 @t82 @t85)) % 18.94/19.17 (define @t4028 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t38 @t150)) % 18.94/19.17 (define @t4029 () (tptp.hAPP @t4028 @t2)) % 18.94/19.17 (define @t4030 () (tptp.hAPP @t903 @t216)) % 18.94/19.17 (define @t4031 () (tptp.tc_fun tptp.tc_Int_Oint @t3926)) % 18.94/19.17 (define @t4032 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t4031 tptp.tc_Int_Oint) @t3946)) % 18.94/19.17 (define @t4033 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t3926)) % 18.94/19.17 (define @t4034 () (tptp.c_Nitpick_Onorm__frac @t219 @t216)) % 18.94/19.17 (define @t4035 () (or (= @t219 @t2188) (= @t216 @t2188))) % 18.94/19.17 (define @t4036 () (tptp.hAPP @t3992 @t2205)) % 18.94/19.17 (define @t4037 () (and (=> @t3308 (= @t4034 (tptp.c_Nitpick_Onorm__frac @t4023 (tptp.hAPP @t2184 @t216)))) (=> (not @t3308) (and (=> @t4035 (= @t4034 @t4036)) (=> (not @t4035) (= @t4034 (tptp.hAPP (tptp.hAPP @t4033 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t219) @t216)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t3926) (tptp.hAPP @t4032 @t3304)) (tptp.hAPP @t3284 @t216))))))))) % 18.94/19.17 (define @t4038 () (tptp.hAPP @t3822 @t3403)) % 18.94/19.17 (define @t4039 () (tptp.c_If @t3926)) % 18.94/19.17 (define @t4040 () (tptp.tc_fun @t3926 @t3926)) % 18.94/19.17 (define @t4041 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t3926 @t4040) tptp.tc_Int_Oint) @t4039)) % 18.94/19.17 (define @t4042 () (tptp.c_COMBS tptp.tc_Int_Oint @t3926 @t4040)) % 18.94/19.17 (define @t4043 () (tptp.c_Divides_Oadjust @t216)) % 18.94/19.17 (define @t4044 () (tptp.hBOOL (tptp.hAPP @t460 @t97))) % 18.94/19.17 (define @t4045 () (tptp.hBOOL (tptp.hAPP @t339 @t97))) % 18.94/19.17 (define @t4046 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3972 @t23) @t22) @t47) @t97))) % 18.94/19.17 (define @t4047 () (@list @t97 @t47 @t22 @t23 @t38 @t10)) % 18.94/19.17 (define @t4048 () (not @t4044)) % 18.94/19.17 (define @t4049 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3968 @t23) @t22) @t47) @t97))) % 18.94/19.17 (define @t4050 () (tptp.hAPP (tptp.hAPP @t3996 @t219) @t216)) % 18.94/19.17 (define @t4051 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t38 @t150 @t25) @t220)) % 18.94/19.17 (define @t4052 () (tptp.hAPP (tptp.hAPP @t220 @t219) @t216)) % 18.94/19.17 (define @t4053 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3932 @t2) @t3985))) % 18.94/19.17 (define @t4054 () (tptp.hBOOL @t4030)) % 18.94/19.17 (define @t4055 () (tptp.hAPP (tptp.hAPP @t2780 @t219) @t216)) % 18.94/19.17 (define @t4056 () (tptp.hAPP (tptp.c_COMBC @t38 @t10 @t3532) @t3977)) % 18.94/19.17 (define @t4057 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t38 @t256)) % 18.94/19.17 (define @t4058 () (tptp.hBOOL (tptp.hAPP @t54 @t97))) % 18.94/19.17 (define @t4059 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3970 @t56) @t53))) % 18.94/19.17 (define @t4060 () (tptp.hBOOL (tptp.hAPP @t58 @t97))) % 18.94/19.17 (define @t4061 () (tptp.c_Product__Type_OPair @t33 @t10)) % 18.94/19.17 (define @t4062 () (tptp.hAPP (tptp.hAPP @t4061 @t81) @t85)) % 18.94/19.17 (define @t4063 () (@var "V_b_H_2" $$unsorted)) % 18.94/19.17 (define @t4064 () (@var "V_a_H_2" $$unsorted)) % 18.94/19.17 (define @t4065 () (= @t219 @t4064)) % 18.94/19.17 (define @t4066 () (and @t4065 (= @t216 @t4063))) % 18.94/19.17 (define @t4067 () (tptp.hAPP (tptp.hAPP @t3953 @t4064) @t4063)) % 18.94/19.17 (define @t4068 () (@list @t4063 @t4064 @t216 @t219 @t38 @t10)) % 18.94/19.17 (define @t4069 () (tptp.hAPP (tptp.hAPP @t3953 @t1294) @t1217)) % 18.94/19.17 (define @t4070 () (@list @t1294 @t1217)) % 18.94/19.17 (define @t4071 () (tptp.hAPP @t4028 @t220)) % 18.94/19.17 (define @t4072 () (tptp.c_Product__Type_Oprod_Oprod__case @t38 @t150 @t10)) % 18.94/19.17 (define @t4073 () (tptp.hAPP @t4072 @t2)) % 18.94/19.17 (define @t4074 () (@list @t216 @t219 @t2 @t10 @t150 @t38)) % 18.94/19.17 (define @t4075 () (@list @t216 @t219 @t2780 @t10 @t150 @t38)) % 18.94/19.17 (define @t4076 () (@list @t216 @t219 @t2 @t38 @t10)) % 18.94/19.17 (define @t4077 () (@list @t2 @t150 @t38 @t10)) % 18.94/19.17 (define @t4078 () (tptp.hAPP @t3932 (tptp.hAPP (tptp.hAPP @t803 (tptp.hAPP @t3935 (tptp.hAPP @t1172 @t1194))) @t338))) % 18.94/19.17 (define @t4079 () (tptp.hAPP @t3932 @t3973)) % 18.94/19.17 (define @t4080 () (@list @t56 @t38 @t10)) % 18.94/19.17 (define @t4081 () (tptp.hAPP (tptp.hAPP @t2256 @t2211) @t216)) % 18.94/19.17 (define @t4082 () (tptp.hAPP (tptp.c_COMBB @t4031 (tptp.tc_fun @t3702 @t4031) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t3926 tptp.tc_Int_Oint))) % 18.94/19.17 (define @t4083 () (tptp.c_COMBC tptp.tc_Int_Oint @t3702 @t4031)) % 18.94/19.17 (define @t4084 () (tptp.tc_fun tptp.tc_Int_Oint @t4040)) % 18.94/19.17 (define @t4085 () (tptp.hAPP (tptp.c_COMBB @t4084 (tptp.tc_fun @t4031 @t4031) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t3926 @t3926))) % 18.94/19.17 (define @t4086 () (tptp.c_COMBS tptp.tc_Int_Oint @t4031 @t4031)) % 18.94/19.17 (define @t4087 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t3926)) % 18.94/19.17 (define @t4088 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t1536 @t1537)) % 18.94/19.17 (define @t4089 () (tptp.hAPP (tptp.hAPP @t3894 @t1536) @t1537)) % 18.94/19.17 (define @t4090 () (tptp.hAPP @t3822 @t3671)) % 18.94/19.17 (define @t4091 () (tptp.c_Divides_Oadjust @t3671)) % 18.94/19.17 (define @t4092 () (tptp.c_Divides_OnegDivAlg @t2205 @t3671)) % 18.94/19.17 (define @t4093 () (tptp.hAPP @t2260 @t3671)) % 18.94/19.17 (define @t4094 () (tptp.hBOOL (tptp.hAPP @t2233 @t4093))) % 18.94/19.17 (define @t4095 () (tptp.hAPP @t3946 @t3916)) % 18.94/19.17 (define @t4096 () (tptp.hBOOL (tptp.hAPP @t2192 @t3671))) % 18.94/19.17 (define @t4097 () (tptp.c_Divides_OnegDivAlg @t81 @t85)) % 18.94/19.17 (define @t4098 () (tptp.hAPP (tptp.hAPP @t3946 @t3372) @t3446)) % 18.94/19.17 (define @t4099 () (tptp.c_Divides_Oadjust @t85)) % 18.94/19.17 (define @t4100 () (= @t4097 (tptp.hAPP @t4099 (tptp.c_Divides_OnegDivAlg @t81 @t3824)))) % 18.94/19.17 (define @t4101 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t85) @t2188))) % 18.94/19.17 (define @t4102 () (tptp.hBOOL (tptp.hAPP @t2233 @t3453))) % 18.94/19.17 (define @t4103 () (or @t4102 @t4101)) % 18.94/19.17 (define @t4104 () (= @t4097 (tptp.hAPP @t4095 @t3453))) % 18.94/19.17 (define @t4105 () (tptp.hAPP @t3822 @t3548)) % 18.94/19.17 (define @t4106 () (tptp.c_Divides_Oadjust @t3548)) % 18.94/19.17 (define @t4107 () (tptp.c_Divides_OnegDivAlg @t3671 @t3548)) % 18.94/19.17 (define @t4108 () (tptp.hAPP (tptp.hAPP @t2201 @t3671) @t3548)) % 18.94/19.17 (define @t4109 () (tptp.hBOOL (tptp.hAPP @t2233 @t4108))) % 18.94/19.17 (define @t4110 () (tptp.hBOOL (tptp.hAPP @t2192 @t3548))) % 18.94/19.17 (define @t4111 () (tptp.c_Product__Type_OPair @t10 @t10)) % 18.94/19.17 (define @t4112 () (tptp.hAPP @t4111 @t3)) % 18.94/19.17 (define @t4113 () (tptp.hAPP @t4112 @t3)) % 18.94/19.17 (define @t4114 () (tptp.c_member @t3480)) % 18.94/19.17 (define @t4115 () (tptp.hAPP @t4114 @t4113)) % 18.94/19.17 (define @t4116 () (tptp.hBOOL (tptp.hAPP @t4115 @t124))) % 18.94/19.17 (define @t4117 () (tptp.c_Divides_OposDivAlg @t2205 @t3671)) % 18.94/19.17 (define @t4118 () (tptp.hBOOL (tptp.hAPP @t2667 @t3671))) % 18.94/19.17 (define @t4119 () (tptp.c_Divides_OposDivAlg @t81 @t85)) % 18.94/19.17 (define @t4120 () (= @t4119 (tptp.hAPP @t4099 (tptp.c_Divides_OposDivAlg @t81 @t3824)))) % 18.94/19.17 (define @t4121 () (or @t3334 @t4101)) % 18.94/19.17 (define @t4122 () (= @t4119 (tptp.hAPP @t3992 @t81))) % 18.94/19.17 (define @t4123 () (tptp.c_Divides_OposDivAlg @t3671 @t3548)) % 18.94/19.17 (define @t4124 () (tptp.hAPP @t2190 @t3671)) % 18.94/19.17 (define @t4125 () (tptp.hBOOL (tptp.hAPP @t4124 @t3548))) % 18.94/19.17 (define @t4126 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t3288 @t3291))) % 18.94/19.17 (define @t4127 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t3288 @t3291))) % 18.94/19.17 (define @t4128 () (tptp.hBOOL (tptp.hAPP @t2233 @t85))) % 18.94/19.17 (define @t4129 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t4130 () (tptp.c_Divides_Odivmod__nat @t1537 @t1536)) % 18.94/19.17 (define @t4131 () (tptp.c_Divides_Opdivmod @t118 @t395)) % 18.94/19.17 (define @t4132 () (tptp.hAPP (tptp.hAPP @t4087 (tptp.hAPP (tptp.hAPP @t4086 (tptp.hAPP @t4085 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3926 @t4084 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3926 @t4040) (tptp.hAPP @t4041 @t3902))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t3926) (tptp.hAPP @t4032 @t2184)) @t2188)))) (tptp.hAPP (tptp.hAPP @t4083 (tptp.hAPP @t4082 (tptp.hAPP @t4032 (tptp.hAPP (tptp.hAPP @t2256 (tptp.hAPP (tptp.hAPP @t3703 @t2211) @t2184)) @t2205)))) (tptp.hAPP @t2211 (tptp.hAPP @t2728 @t395))))) @t4131)) % 18.94/19.17 (define @t4133 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t395)) % 18.94/19.17 (define @t4134 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t2194 @t4133))) % 18.94/19.17 (define @t4135 () (tptp.c_Divides_Odivmod__int @t118 @t395)) % 18.94/19.17 (define @t4136 () (= @t395 @t2188)) % 18.94/19.17 (define @t4137 () (not @t4136)) % 18.94/19.17 (define @t4138 () (=> @t4136 (= @t4135 (tptp.hAPP @t3992 @t118)))) % 18.94/19.17 (define @t4139 () (=> @t3320 (= @t4135 @t3993))) % 18.94/19.17 (define @t4140 () (tptp.c_Product__Type_Oapsnd @t150 @t38 @t10 @t2)) % 18.94/19.17 (define @t4141 () (@list @t47 @t1 @t1251 @t2 @t10 @t38 @t150)) % 18.94/19.17 (define @t4142 () (tptp.c_Product__Type_OPair @t10 @t150)) % 18.94/19.17 (define @t4143 () (tptp.hAPP (tptp.hAPP @t4142 @t47) @t97)) % 18.94/19.17 (define @t4144 () (tptp.hAPP @t4129 @t1949)) % 18.94/19.17 (define @t4145 () (tptp.hAPP @t4144 @t1537)) % 18.94/19.17 (define @t4146 () (tptp.hAPP (tptp.hAPP @t4129 @t3381) @t3484)) % 18.94/19.17 (define @t4147 () (@var "V_qr" $$unsorted)) % 18.94/19.17 (define @t4148 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t4149 () (tptp.tc_fun tptp.tc_Nat_Onat @t4148)) % 18.94/19.17 (define @t4150 () (tptp.c_Divides_Odivmod__nat @t561 @t831)) % 18.94/19.17 (define @t4151 () (or @t1987 @t1824)) % 18.94/19.17 (define @t4152 () (tptp.hAPP @t2728 @t1868)) % 18.94/19.17 (define @t4153 () (tptp.hAPP @t2728 @t1791)) % 18.94/19.17 (define @t4154 () (tptp.c_Divides_Opdivmod @t1791 @t1868)) % 18.94/19.17 (define @t4155 () (= @t1868 @t2188)) % 18.94/19.17 (define @t4156 () (tptp.hAPP @t3501 @t2082)) % 18.94/19.17 (define @t4157 () (tptp.hAPP (tptp.hAPP @t4129 @t2329) @t2082)) % 18.94/19.17 (define @t4158 () (tptp.c_Divides_Odivmod__nat__rel @t85 @t82)) % 18.94/19.17 (define @t4159 () (tptp.hAPP @t3822 @t216)) % 18.94/19.17 (define @t4160 () (tptp.c_Divides_OnegDivAlg @t219 @t216)) % 18.94/19.17 (define @t4161 () (tptp.hBOOL (tptp.hAPP @t3325 @t2188))) % 18.94/19.17 (define @t4162 () (tptp.hAPP @t3836 @t216)) % 18.94/19.17 (define @t4163 () (or (tptp.hBOOL (tptp.hAPP @t2233 @t4162)) @t4161)) % 18.94/19.17 (define @t4164 () (tptp.hAPP (tptp.hAPP @t3946 @t219) @t216)) % 18.94/19.17 (define @t4165 () (tptp.c_Wellfounded_Oaccp @t3926 tptp.c_Divides_OnegDivAlg__rel)) % 18.94/19.17 (define @t4166 () (@var "V_qr_H" $$unsorted)) % 18.94/19.17 (define @t4167 () (tptp.c_Divides_Odivmod__nat__rel @t1537 @t1536)) % 18.94/19.17 (define @t4168 () (tptp.hBOOL (tptp.hAPP @t4167 @t4147))) % 18.94/19.17 (define @t4169 () (tptp.c_Divides_Odivmod__nat__rel @t561 @t831)) % 18.94/19.17 (define @t4170 () (tptp.hBOOL (tptp.hAPP @t4167 @t4157))) % 18.94/19.17 (define @t4171 () (@list @t2082 @t2329 @t1536 @t1537)) % 18.94/19.17 (define @t4172 () (tptp.hAPP (tptp.hAPP @t1596 @t4014) @t4013)) % 18.94/19.17 (define @t4173 () (tptp.c_Divides_OposDivAlg @t219 @t216)) % 18.94/19.17 (define @t4174 () (or (tptp.hBOOL (tptp.hAPP @t3310 @t216)) @t4161)) % 18.94/19.17 (define @t4175 () (tptp.c_Wellfounded_Oaccp @t3926 tptp.c_Divides_OposDivAlg__rel)) % 18.94/19.17 (define @t4176 () (tptp.c_Wellfounded_Oaccp @t3926 tptp.c_Nitpick_Onorm__frac__rel)) % 18.94/19.17 (define @t4177 () (@var "V_a0_2" $$unsorted)) % 18.94/19.17 (define @t4178 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t56 @t4177) @t1099))) % 18.94/19.17 (define @t4179 () (tptp.hAPP @t56 @t1294)) % 18.94/19.17 (define @t4180 () (tptp.hBOOL (tptp.hAPP @t4179 @t1217))) % 18.94/19.17 (define @t4181 () (tptp.hBOOL (tptp.hAPP @t4179 (tptp.hAPP @t3822 @t1217)))) % 18.94/19.17 (define @t4182 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t1217) @t2188))) % 18.94/19.17 (define @t4183 () (tptp.hAPP (tptp.hAPP @t3946 @t1294) @t1217)) % 18.94/19.17 (define @t4184 () (tptp.hAPP (tptp.hAPP @t3946 @t4177) @t1099)) % 18.94/19.17 (define @t4185 () (@list @t56 @t1099 @t4177)) % 18.94/19.17 (define @t4186 () (@var "V_R1_2" $$unsorted)) % 18.94/19.17 (define @t4187 () (@var "V_R2_2" $$unsorted)) % 18.94/19.17 (define @t4188 () (tptp.c_Orderings_Oord__class_Oless__eq @t2878)) % 18.94/19.17 (define @t4189 () (@list @t4187 @t4186 @t10)) % 18.94/19.17 (define @t4190 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t2762 @t3673))) % 18.94/19.17 (define @t4191 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 18.94/19.17 (define @t4192 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2205 @t3671)) % 18.94/19.17 (define @t4193 () (tptp.hBOOL (tptp.hAPP @t4124 @t2188))) % 18.94/19.17 (define @t4194 () (tptp.c_Product__Type_OPair @t10 @t33)) % 18.94/19.17 (define @t4195 () (tptp.c_Product__Type_Osnd @t10 @t33)) % 18.94/19.17 (define @t4196 () (tptp.c_Product__Type_Osnd @t38 @t10)) % 18.94/19.17 (define @t4197 () (tptp.hAPP @t4196 @t1504)) % 18.94/19.17 (define @t4198 () (tptp.c_Product__Type_Osnd @t38 @t150)) % 18.94/19.17 (define @t4199 () (tptp.hAPP @t4198 @t47)) % 18.94/19.17 (define @t4200 () (@list @t47 @t2 @t150 @t10 @t38)) % 18.94/19.17 (define @t4201 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t10 @t150) @t47)) % 18.94/19.17 (define @t4202 () (tptp.hAPP @t4140 @t47)) % 18.94/19.17 (define @t4203 () (tptp.c_Wellfounded_Oaccp @t10 @t124)) % 18.94/19.17 (define @t4204 () (tptp.hBOOL (tptp.hAPP @t4203 @t219))) % 18.94/19.17 (define @t4205 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t219) @t216))) % 18.94/19.17 (define @t4206 () (tptp.hAPP @t124 @t3)) % 18.94/19.17 (define @t4207 () (@list @t219 @t124 @t10)) % 18.94/19.17 (define @t4208 () (tptp.c_Nitpick_Onat__gcd @t47 @t97)) % 18.94/19.17 (define @t4209 () (= @t97 @t1949)) % 18.94/19.17 (define @t4210 () (tptp.hAPP (tptp.hAPP @t4129 @t47) @t97)) % 18.94/19.17 (define @t4211 () (tptp.c_Wellfounded_Oaccp @t4148 tptp.c_Nitpick_Onat__gcd__rel)) % 18.94/19.17 (define @t4212 () (@var "V_nat" $$unsorted)) % 18.94/19.17 (define @t4213 () (tptp.hAPP tptp.c_Nat_OSuc @t4212)) % 18.94/19.17 (define @t4214 () (@list @t4212)) % 18.94/19.17 (define @t4215 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t49) @t123))) % 18.94/19.17 (define @t4216 () (tptp.c_Wellfounded_Omeasure @t10)) % 18.94/19.17 (define @t4217 () (tptp.hAPP @t4216 @t2)) % 18.94/19.17 (define @t4218 () (tptp.hAPP @t4111 @t47)) % 18.94/19.17 (define @t4219 () (tptp.hAPP @t4114 (tptp.hAPP @t4218 @t97))) % 18.94/19.17 (define @t4220 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t4221 () (forall @t7 (not @t4116))) % 18.94/19.17 (define @t4222 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 18.94/19.17 (define @t4223 () (tptp.hAPP @t3648 @t3671)) % 18.94/19.17 (define @t4224 () (tptp.c_Product__Type_Osnd @t10 @t38)) % 18.94/19.17 (define @t4225 () (tptp.c_Product__Type_Ofst @t10 @t38)) % 18.94/19.17 (define @t4226 () (tptp.c_Product__Type_Osnd @t33 @t10)) % 18.94/19.17 (define @t4227 () (tptp.hAPP @t4226 @t3131)) % 18.94/19.17 (define @t4228 () (tptp.c_Product__Type_Ofst @t33 @t10)) % 18.94/19.17 (define @t4229 () (tptp.hAPP @t4228 @t3131)) % 18.94/19.17 (define @t4230 () (tptp.hAPP (tptp.hAPP @t4061 @t32) @t64)) % 18.94/19.17 (define @t4231 () (@list @t85 @t81 @t10 @t33)) % 18.94/19.17 (define @t4232 () (tptp.hAPP @t4225 @t1504)) % 18.94/19.17 (define @t4233 () (@list @t47 @t2 @t150 @t38 @t10)) % 18.94/19.17 (define @t4234 () (tptp.hAPP @t4198 @t1504)) % 18.94/19.17 (define @t4235 () (tptp.c_Product__Type_Ofst @t38 @t150)) % 18.94/19.17 (define @t4236 () (tptp.hAPP @t4235 @t1504)) % 18.94/19.17 (define @t4237 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t1321 @t38 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t111 @t1321) @t56) @t4225)) @t4224)) % 18.94/19.17 (define @t4238 () (tptp.hAPP @t3932 @t56)) % 18.94/19.17 (define @t4239 () (tptp.hAPP @t3977 @t47)) % 18.94/19.17 (define @t4240 () (tptp.hAPP @t4239 @t97)) % 18.94/19.17 (define @t4241 () (tptp.c_Product__Type_Ofst @t38 @t10)) % 18.94/19.17 (define @t4242 () (tptp.hAPP @t56 @t97)) % 18.94/19.17 (define @t4243 () (tptp.hAPP (tptp.hAPP @t3953 @t1504) @t3403)) % 18.94/19.17 (define @t4244 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t4245 () (@var "V_qr_2" $$unsorted)) % 18.94/19.17 (define @t4246 () (tptp.hAPP @t4220 @t4245)) % 18.94/19.17 (define @t4247 () (tptp.hAPP @t4244 @t4245)) % 18.94/19.17 (define @t4248 () (tptp.tc_fun @t1650 @t1650)) % 18.94/19.17 (define @t4249 () (tptp.tc_fun tptp.tc_Nat_Onat @t4248)) % 18.94/19.17 (define @t4250 () (tptp.tc_fun tptp.tc_Nat_Onat @t1650)) % 18.94/19.17 (define @t4251 () (tptp.hAPP tptp.c_Int_ORep__Integ @t513)) % 18.94/19.17 (define @t4252 () (tptp.hAPP (tptp.hAPP @t4129 @t3) @t195)) % 18.94/19.17 (define @t4253 () (tptp.c_Product__Type_OPair @t38 @t38)) % 18.94/19.17 (define @t4254 () (tptp.tc_prod @t38 @t38)) % 18.94/19.17 (define @t4255 () (tptp.tc_fun @t38 @t4254)) % 18.94/19.17 (define @t4256 () (tptp.tc_fun @t10 @t4254)) % 18.94/19.17 (define @t4257 () (tptp.c_member @t4254)) % 18.94/19.17 (define @t4258 () (tptp.tc_fun @t4254 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4259 () (tptp.tc_fun @t4258 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4260 () (tptp.tc_fun @t10 @t4259)) % 18.94/19.17 (define @t4261 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t10 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4262 () (tptp.c_Set_OCollect @t3480)) % 18.94/19.17 (define @t4263 () (tptp.c_Relation_Oinv__image @t38 @t10)) % 18.94/19.17 (define @t4264 () (tptp.hAPP (tptp.hAPP @t4263 @t124) @t2)) % 18.94/19.17 (define @t4265 () (tptp.hAPP tptp.c_Int_ORep__Integ @t47)) % 18.94/19.17 (define @t4266 () (tptp.c_Relation_Oinv__image @t10 @t38)) % 18.94/19.17 (define @t4267 () (tptp.tc_prod @t4258 @t4258)) % 18.94/19.17 (define @t4268 () (tptp.tc_fun @t4258 @t4267)) % 18.94/19.17 (define @t4269 () (tptp.tc_fun @t161 @t4268)) % 18.94/19.17 (define @t4270 () (tptp.tc_fun @t161 @t4258)) % 18.94/19.17 (define @t4271 () (tptp.tc_fun @t161 @t4267)) % 18.94/19.17 (define @t4272 () (tptp.tc_fun @t4270 @t4271)) % 18.94/19.17 (define @t4273 () (tptp.tc_fun @t3481 @t4271)) % 18.94/19.17 (define @t4274 () (tptp.tc_fun @t3481 @t4270)) % 18.94/19.17 (define @t4275 () (tptp.c_FunDef_Orp__inv__image @t10 @t38)) % 18.94/19.17 (define @t4276 () (tptp.hAPP @t4111 @t219)) % 18.94/19.17 (define @t4277 () (tptp.hAPP @t4276 @t216)) % 18.94/19.17 (define @t4278 () (tptp.hAPP @t4114 @t4277)) % 18.94/19.17 (define @t4279 () (tptp.hBOOL (tptp.hAPP @t4278 @t124))) % 18.94/19.17 (define @t4280 () (tptp.hAPP @t3509 @t886)) % 18.94/19.17 (define @t4281 () (tptp.hAPP @t3509 @t848)) % 18.94/19.17 (define @t4282 () (tptp.c_Equiv__Relations_Oequiv @t10 @t23 @t124)) % 18.94/19.17 (define @t4283 () (=> @t329 @t4279)) % 18.94/19.17 (define @t4284 () (@list @t219 @t124 @t23 @t10)) % 18.94/19.17 (define @t4285 () (= @t271 @t743)) % 18.94/19.17 (define @t4286 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t743) @t3479))) % 18.94/19.17 (define @t4287 () (= @t4281 @t4280)) % 18.94/19.17 (define @t4288 () (@list @t216 @t219 @t124 @t23 @t10)) % 18.94/19.17 (define @t4289 () (tptp.hBOOL (tptp.hAPP @t4219 @t124))) % 18.94/19.17 (define @t4290 () (tptp.hBOOL (tptp.hAPP @t332 @t743))) % 18.94/19.17 (define @t4291 () (tptp.hBOOL (tptp.hAPP @t334 @t271))) % 18.94/19.17 (define @t4292 () (@list @t97 @t47 @t743 @t271 @t124 @t23 @t10)) % 18.94/19.17 (define @t4293 () (= @t3511 (tptp.hAPP @t3509 @t2596))) % 18.94/19.17 (define @t4294 () (@list @t97 @t47 @t124 @t23 @t10)) % 18.94/19.17 (define @t4295 () (tptp.c_Equiv__Relations_Ocongruent @t10 @t111 @t124 @t2)) % 18.94/19.17 (define @t4296 () (@var "V_r2_2" $$unsorted)) % 18.94/19.17 (define @t4297 () (tptp.c_Relation_OImage @t38 @t38 @t4296)) % 18.94/19.17 (define @t4298 () (tptp.c_COMBB @t257 @t256 @t10)) % 18.94/19.17 (define @t4299 () (@var "V_r1_2" $$unsorted)) % 18.94/19.17 (define @t4300 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t256)) % 18.94/19.17 (define @t4301 () (@var "V_A2_2" $$unsorted)) % 18.94/19.17 (define @t4302 () (@var "V_A1_2" $$unsorted)) % 18.94/19.17 (define @t4303 () (tptp.c_Equiv__Relations_Ocongruent2 @t10 @t38 @t256 @t4299 @t4296 @t2)) % 18.94/19.17 (define @t4304 () (tptp.c_Equiv__Relations_Oequiv @t38 @t4301 @t4296)) % 18.94/19.17 (define @t4305 () (tptp.c_Equiv__Relations_Oequiv @t10 @t4302 @t4299)) % 18.94/19.17 (define @t4306 () (tptp.c_Wellfounded_Ofinite__psubset @t10)) % 18.94/19.17 (define @t4307 () (tptp.c_Product__Type_OPair @t25 @t25)) % 18.94/19.17 (define @t4308 () (tptp.tc_prod @t25 @t25)) % 18.94/19.17 (define @t4309 () (tptp.c_member @t4308)) % 18.94/19.17 (define @t4310 () (tptp.hAPP @t4309 (tptp.hAPP (tptp.hAPP @t4307 @t23) @t22))) % 18.94/19.17 (define @t4311 () (tptp.c_Equiv__Relations_Ocongruent2 @t10 @t38 @t150 @t4299 @t4296 @t2)) % 18.94/19.17 (define @t4312 () (@var "V_z2_2" $$unsorted)) % 18.94/19.17 (define @t4313 () (@var "V_z1_2" $$unsorted)) % 18.94/19.17 (define @t4314 () (@var "V_y2_2" $$unsorted)) % 18.94/19.17 (define @t4315 () (@var "V_y1_2" $$unsorted)) % 18.94/19.17 (define @t4316 () (tptp.hAPP @t4111 @t97)) % 18.94/19.17 (define @t4317 () (tptp.hAPP @t4114 (tptp.hAPP @t4316 @t513))) % 18.94/19.17 (define @t4318 () (tptp.c_Equiv__Relations_Ocongruent @t10 @t38 @t124 @t2)) % 18.94/19.17 (define @t4319 () (tptp.hAPP @t4114 (tptp.hAPP @t4112 @t195))) % 18.94/19.17 (define @t4320 () (tptp.hBOOL (tptp.hAPP @t4319 @t124))) % 18.94/19.17 (define @t4321 () (tptp.hAPP (tptp.hAPP @t279 @t271) @t2)) % 18.94/19.17 (define @t4322 () (@var "V_X2_2" $$unsorted)) % 18.94/19.17 (define @t4323 () (@var "V_X1_2" $$unsorted)) % 18.94/19.17 (define @t4324 () (tptp.c_member @t256)) % 18.94/19.17 (define @t4325 () (@var "B_x2" $$unsorted)) % 18.94/19.17 (define @t4326 () (tptp.c_member @t111)) % 18.94/19.17 (define @t4327 () (tptp.c_Wellfounded_Omlex__prod @t10 @t2 @t361)) % 18.94/19.17 (define @t4328 () (tptp.hBOOL (tptp.hAPP @t4219 @t4327))) % 18.94/19.17 (define @t4329 () (tptp.hBOOL (tptp.hAPP @t4219 @t361))) % 18.94/19.17 (define @t4330 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t49) @t123))) % 18.94/19.17 (define @t4331 () (@list @t361 @t10 @t97 @t47 @t2)) % 18.94/19.17 (define @t4332 () (@var "V_code__numeral" $$unsorted)) % 18.94/19.17 (define @t4333 () (tptp.c_Code__Numeral_OSuc__code__numeral @t4332)) % 18.94/19.17 (define @t4334 () (@list @t4332)) % 18.94/19.17 (define @t4335 () (@var "V_code__numeral_H_2" $$unsorted)) % 18.94/19.17 (define @t4336 () (@var "V_code__numeral_2" $$unsorted)) % 18.94/19.17 (define @t4337 () (tptp.c_Code__Numeral_OSuc__code__numeral @t4336)) % 18.94/19.17 (define @t4338 () (@var "V_code__numeral_H" $$unsorted)) % 18.94/19.17 (define @t4339 () (@var "V_code__numeral_H_1" $$unsorted)) % 18.94/19.17 (define @t4340 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.17 (define @t4341 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t4342 () (tptp.hAPP @t3934 @t4238)) % 18.94/19.17 (define @t4343 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t1322 @t2)) % 18.94/19.17 (define @t4344 () (tptp.c_Product__Type_OPair @t1321 @t1321)) % 18.94/19.17 (define @t4345 () (tptp.c_member (tptp.tc_prod @t1321 @t1321))) % 18.94/19.17 (define @t4346 () (tptp.tc_fun @t3481 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4347 () (tptp.hAPP (tptp.c_COMBB @t3480 @t4346 @t10) @t4114)) % 18.94/19.17 (define @t4348 () (tptp.tc_fun @t10 @t4346)) % 18.94/19.17 (define @t4349 () (tptp.tc_fun @t10 @t3480)) % 18.94/19.17 (define @t4350 () (tptp.c_COMBC @t10 @t3481 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4351 () (tptp.hAPP (tptp.c_COMBC @t10 @t3481 @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4348 (tptp.tc_fun @t3481 @t25) @t10) @t4350) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4349 @t4348 @t10) @t4347) @t4111)))) % 18.94/19.17 (define @t4352 () (tptp.hAPP @t361 @t195)) % 18.94/19.17 (define @t4353 () (tptp.hAPP @t361 @t3)) % 18.94/19.17 (define @t4354 () (= @t4353 @t4352)) % 18.94/19.17 (define @t4355 () (tptp.hBOOL (tptp.hAPP @t4353 @t195))) % 18.94/19.17 (define @t4356 () (tptp.c_Equiv__Relations_Oequivp @t10 @t361)) % 18.94/19.17 (define @t4357 () (@list @t361 @t10)) % 18.94/19.17 (define @t4358 () (tptp.hBOOL (tptp.hAPP @t1199 @t47))) % 18.94/19.17 (define @t4359 () (@list @t47 @t361 @t10)) % 18.94/19.17 (define @t4360 () (=> @t1200 @t1198)) % 18.94/19.17 (define @t4361 () (=> @t1200 (=> (tptp.hBOOL (tptp.hAPP @t1197 @t513)) (tptp.hBOOL (tptp.hAPP @t1199 @t513))))) % 18.94/19.17 (define @t4362 () (@list @t513 @t97 @t47 @t361 @t10)) % 18.94/19.17 (define @t4363 () (tptp.c_Recdef_Osame__fst @t10 @t38 @t56 @t361)) % 18.94/19.17 (define @t4364 () (@var "V_y_H_2" $$unsorted)) % 18.94/19.17 (define @t4365 () (tptp.c_Product__Type_Osnd @t150 @t1251)) % 18.94/19.17 (define @t4366 () (tptp.hAPP @t1 (tptp.hAPP @t4365 @t47))) % 18.94/19.17 (define @t4367 () (tptp.c_Product__Type_Ofst @t150 @t1251)) % 18.94/19.17 (define @t4368 () (tptp.hAPP @t2 (tptp.hAPP @t4367 @t47))) % 18.94/19.17 (define @t4369 () (tptp.c_Product__Type_Oapfst @t150 @t10 @t38 @t2)) % 18.94/19.17 (define @t4370 () (@list @t47 @t1 @t1251 @t2 @t38 @t10 @t150)) % 18.94/19.17 (define @t4371 () (tptp.c_Product__Type_Osnd @t1251 @t150)) % 18.94/19.17 (define @t4372 () (tptp.c_Product__Type_Oapfst @t1251 @t10 @t150 @t1)) % 18.94/19.17 (define @t4373 () (tptp.c_Product__Type_OPair @t150 @t38)) % 18.94/19.17 (define @t4374 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t150 @t38) @t47)) % 18.94/19.17 (define @t4375 () (tptp.hAPP @t2 @t4374)) % 18.94/19.17 (define @t4376 () (tptp.hAPP @t4369 @t47)) % 18.94/19.17 (define @t4377 () (tptp.c_Product__Type_OPair @t4148 @t4148)) % 18.94/19.17 (define @t4378 () (tptp.tc_prod @t4148 @t4148)) % 18.94/19.17 (define @t4379 () (tptp.c_member @t4378)) % 18.94/19.17 (define @t4380 () (tptp.hAPP @t4379 (tptp.hAPP (tptp.hAPP @t4377 (tptp.hAPP (tptp.hAPP @t4129 @t219) @t2608)) (tptp.hAPP (tptp.hAPP @t4129 @t216) @t909)))) % 18.94/19.17 (define @t4381 () (tptp.hBOOL (tptp.hAPP @t4380 tptp.c_FunDef_Opair__less))) % 18.94/19.17 (define @t4382 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t219) @t216))) % 18.94/19.17 (define @t4383 () (@list @t909 @t2608 @t216 @t219)) % 18.94/19.17 (define @t4384 () (tptp.tc_prod tptp.tc_Nat_Onat @t10)) % 18.94/19.17 (define @t4385 () (tptp.c_member @t4148)) % 18.94/19.17 (define @t4386 () (tptp.hBOOL (tptp.hAPP @t4380 tptp.c_FunDef_Opair__leq))) % 18.94/19.17 (define @t4387 () (@var "V_YS_2" $$unsorted)) % 18.94/19.17 (define @t4388 () (tptp.c_Set_Oinsert @t4148)) % 18.94/19.17 (define @t4389 () (tptp.hAPP @t4388 @t97)) % 18.94/19.17 (define @t4390 () (@var "V_XS_2" $$unsorted)) % 18.94/19.17 (define @t4391 () (tptp.tc_fun @t4148 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4392 () (tptp.c_Product__Type_OPair @t4391 @t4391)) % 18.94/19.17 (define @t4393 () (tptp.hAPP @t4392 @t4390)) % 18.94/19.17 (define @t4394 () (tptp.tc_prod @t4391 @t4391)) % 18.94/19.17 (define @t4395 () (tptp.c_member @t4394)) % 18.94/19.17 (define @t4396 () (tptp.hAPP @t4395 (tptp.hAPP @t4393 (tptp.hAPP @t4389 @t4387)))) % 18.94/19.17 (define @t4397 () (tptp.hAPP @t4395 (tptp.hAPP @t4393 @t4387))) % 18.94/19.17 (define @t4398 () (tptp.hAPP @t4379 (tptp.hAPP (tptp.hAPP @t4377 @t47) @t97))) % 18.94/19.17 (define @t4399 () (tptp.hBOOL (tptp.hAPP @t4398 tptp.c_FunDef_Opair__less))) % 18.94/19.17 (define @t4400 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4385 @t47) @t4390))) % 18.94/19.17 (define @t4401 () (@list @t4387 @t97 @t4390 @t47)) % 18.94/19.17 (define @t4402 () (tptp.hAPP @t4388 @t47)) % 18.94/19.17 (define @t4403 () (tptp.hAPP @t4392 @t271)) % 18.94/19.17 (define @t4404 () (tptp.hAPP @t4385 @t97)) % 18.94/19.17 (define @t4405 () (tptp.c_Orderings_Obot__class_Obot @t4391)) % 18.94/19.17 (define @t4406 () (tptp.hAPP @t4392 @t4405)) % 18.94/19.17 (define @t4407 () (tptp.c_Finite__Set_Ofinite @t4148)) % 18.94/19.17 (define @t4408 () (tptp.hAPP @t4395 (tptp.hAPP @t4403 @t4405))) % 18.94/19.17 (define @t4409 () (@list @t271)) % 18.94/19.17 (define @t4410 () (tptp.hBOOL (tptp.hAPP @t4398 tptp.c_FunDef_Opair__leq))) % 18.94/19.17 (define @t4411 () (tptp.c_Relation_OField @t10)) % 18.94/19.17 (define @t4412 () (tptp.hAPP @t4411 @t124)) % 18.94/19.17 (define @t4413 () (tptp.c_Set_Oinsert @t3480)) % 18.94/19.17 (define @t4414 () (@list @t124 @t216 @t219 @t10)) % 18.94/19.17 (define @t4415 () (tptp.hAPP @t4411 @t2608)) % 18.94/19.17 (define @t4416 () (tptp.hAPP @t3537 @t124)) % 18.94/19.17 (define @t4417 () (tptp.hBOOL (tptp.hAPP @t4416 @t2608))) % 18.94/19.17 (define @t4418 () (@list @t2608 @t124 @t10)) % 18.94/19.17 (define @t4419 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3481)) % 18.94/19.17 (define @t4420 () (tptp.hAPP @t4419 @t124)) % 18.94/19.17 (define @t4421 () (tptp.hAPP @t4420 @t2608)) % 18.94/19.17 (define @t4422 () (tptp.c_Finite__Set_Ofinite @t3480)) % 18.94/19.17 (define @t4423 () (tptp.hBOOL (tptp.hAPP @t4422 @t124))) % 18.94/19.17 (define @t4424 () (tptp.tc_fun @t4394 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4425 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4394) (tptp.hAPP @t4406 @t4405)) (tptp.c_Orderings_Obot__class_Obot @t4424))) % 18.94/19.17 (define @t4426 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4424)) % 18.94/19.17 (define @t4427 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 @t3480) @t4111) @t744)) % 18.94/19.17 (define @t4428 () (tptp.c_Relation_OId__on @t10 @t23)) % 18.94/19.17 (define @t4429 () (tptp.c_Wellfounded_Omax__ext @t10 @t361)) % 18.94/19.17 (define @t4430 () (@var "V_xa_2" $$unsorted)) % 18.94/19.17 (define @t4431 () (tptp.c_Product__Type_OPair @t4424 @t4424)) % 18.94/19.17 (define @t4432 () (tptp.c_FunDef_Oreduction__pair @t10 @t56)) % 18.94/19.17 (define @t4433 () (tptp.c_Relation_OImage @t4148 @t4148 tptp.c_Int_Ointrel)) % 18.94/19.17 (define @t4434 () (tptp.hAPP (tptp.hAPP @t1596 @t192) @t97)) % 18.94/19.17 (define @t4435 () (tptp.hAPP @t1596 @t47)) % 18.94/19.17 (define @t4436 () (tptp.hAPP @t4435 @t1234)) % 18.94/19.17 (define @t4437 () (tptp.hAPP (tptp.hAPP @t4129 @t192) @t1234)) % 18.94/19.17 (define @t4438 () (@list @t1234 @t192 @t97 @t47)) % 18.94/19.17 (define @t4439 () (tptp.c_Orderings_Otop__class_Otop @t4391)) % 18.94/19.17 (define @t4440 () (tptp.hAPP @t1752 @t97)) % 18.94/19.17 (define @t4441 () (tptp.hAPP @t1752 @t47)) % 18.94/19.17 (define @t4442 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4433 (tptp.hAPP (tptp.hAPP @t4388 @t4437) @t4405)))) % 18.94/19.17 (define @t4443 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4433 (tptp.hAPP (tptp.hAPP @t4388 @t4210) @t4405)))) % 18.94/19.17 (define @t4444 () (tptp.hAPP @t4129 @t561)) % 18.94/19.17 (define @t4445 () (tptp.tc_fun @t4391 @t4391)) % 18.94/19.17 (define @t4446 () (tptp.tc_fun tptp.tc_Nat_Onat @t4445)) % 18.94/19.17 (define @t4447 () (tptp.tc_fun tptp.tc_Nat_Onat @t4391)) % 18.94/19.17 (define @t4448 () (tptp.hAPP @t2781 @t4336)) % 18.94/19.17 (define @t4449 () (@list @t4336 @t2781 @t2780 @t10)) % 18.94/19.17 (define @t4450 () (tptp.c_member @t4391)) % 18.94/19.17 (define @t4451 () (tptp.c_Wellfounded_Oacc @t10 @t124)) % 18.94/19.17 (define @t4452 () (tptp.hBOOL (tptp.hAPP @t334 @t4451))) % 18.94/19.17 (define @t4453 () (tptp.hAPP @t4351 @t124)) % 18.94/19.17 (define @t4454 () (@list @t47 @t124 @t10)) % 18.94/19.17 (define @t4455 () (tptp.tc_prod @t150 @t38)) % 18.94/19.17 (define @t4456 () (tptp.c_member @t4455)) % 18.94/19.17 (define @t4457 () (tptp.tc_fun @t4455 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4458 () (tptp.tc_fun @t4457 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4459 () (tptp.tc_fun @t150 @t4458)) % 18.94/19.17 (define @t4460 () (tptp.tc_prod @t10 @t150)) % 18.94/19.17 (define @t4461 () (tptp.c_member @t4460)) % 18.94/19.17 (define @t4462 () (tptp.tc_fun @t4460 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4463 () (tptp.tc_fun @t4462 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4464 () (tptp.tc_fun @t150 @t4463)) % 18.94/19.17 (define @t4465 () (tptp.tc_fun @t150 @t1170)) % 18.94/19.17 (define @t4466 () (tptp.tc_fun @t256 @t256)) % 18.94/19.17 (define @t4467 () (tptp.c_Relation_Orel__comp @t10 @t150 @t38)) % 18.94/19.17 (define @t4468 () (tptp.hAPP (tptp.hAPP @t4467 @t124) @t2608)) % 18.94/19.17 (define @t4469 () (tptp.c_Relation_Orel__comp @t10 @t38 @t150)) % 18.94/19.17 (define @t4470 () (tptp.hAPP (tptp.hAPP @t4469 @t124) @t2608)) % 18.94/19.17 (define @t4471 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1251 @t1322) @t178)) % 18.94/19.17 (define @t4472 () (tptp.hAPP @t4467 @t2608)) % 18.94/19.17 (define @t4473 () (@list @t361 @t38 @t150 @t10)) % 18.94/19.17 (define @t4474 () (tptp.hAPP @t4467 @t361)) % 18.94/19.17 (define @t4475 () (@var "V_s_H_2" $$unsorted)) % 18.94/19.17 (define @t4476 () (tptp.c_Orderings_Oord__class_Oless__eq @t4462)) % 18.94/19.17 (define @t4477 () (tptp.c_Orderings_Oord__class_Oless__eq @t3995)) % 18.94/19.17 (define @t4478 () (tptp.c_Relation_Orel__comp @t10 @t10 @t10)) % 18.94/19.17 (define @t4479 () (tptp.hAPP @t4478 @t23)) % 18.94/19.17 (define @t4480 () (= (tptp.hAPP @t4479 @t60) @t3538)) % 18.94/19.17 (define @t4481 () (tptp.hBOOL (tptp.hAPP @t250 @t4451))) % 18.94/19.17 (define @t4482 () (tptp.hBOOL (tptp.hAPP @t287 @t4451))) % 18.94/19.17 (define @t4483 () (tptp.hBOOL (tptp.hAPP @t317 @t4451))) % 18.94/19.17 (define @t4484 () (@list @t124 @t219 @t10)) % 18.94/19.17 (define @t4485 () (tptp.tc_fun @t4308 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4486 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4308) (tptp.hAPP (tptp.hAPP @t4307 @t749) @t749)) (tptp.c_Orderings_Obot__class_Obot @t4485))) % 18.94/19.17 (define @t4487 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4485)) % 18.94/19.17 (define @t4488 () (tptp.c_Relation_Orel__comp @t25 @t25 @t25)) % 18.94/19.17 (define @t4489 () (tptp.c_Orderings_Oord__class_Oless__eq @t4485)) % 18.94/19.17 (define @t4490 () (tptp.hAPP @t4478 @t361)) % 18.94/19.17 (define @t4491 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 (tptp.hAPP @t4490 @t348)) @t361))) % 18.94/19.17 (define @t4492 () (tptp.c_Wellfounded_Omin__ext @t10 @t361)) % 18.94/19.17 (define @t4493 () (@var "V_Abs_2" $$unsorted)) % 18.94/19.17 (define @t4494 () (@var "V_Rep_2" $$unsorted)) % 18.94/19.17 (define @t4495 () (tptp.c_Typedef_Otype__definition @t10 @t38 @t4494 @t4493 @t23)) % 18.94/19.17 (define @t4496 () (@list @t23 @t4493 @t4494 @t38 @t10)) % 18.94/19.17 (define @t4497 () (tptp.hAPP @t4494 @t47)) % 18.94/19.17 (define @t4498 () (@list @t47 @t23 @t4493 @t4494 @t38 @t10)) % 18.94/19.17 (define @t4499 () (@list @t97 @t47 @t23 @t4493 @t4494 @t38 @t10)) % 18.94/19.17 (define @t4500 () (tptp.hAPP @t4493 @t97)) % 18.94/19.17 (define @t4501 () (tptp.hBOOL (tptp.hAPP @t1114 @t23))) % 18.94/19.17 (define @t4502 () (tptp.hAPP @t3963 @t124)) % 18.94/19.17 (define @t4503 () (tptp.c_Wellfounded_Owf @t10 @t361)) % 18.94/19.17 (define @t4504 () (tptp.hBOOL (tptp.hAPP @t4353 @t309))) % 18.94/19.17 (define @t4505 () (tptp.hBOOL (tptp.hAPP @t311 @t1098))) % 18.94/19.17 (define @t4506 () (tptp.hBOOL (tptp.hAPP @t317 @t1099))) % 18.94/19.17 (define @t4507 () (not @t1132)) % 18.94/19.17 (define @t4508 () (tptp.hBOOL (tptp.hAPP @t1291 @t1098))) % 18.94/19.17 (define @t4509 () (tptp.hBOOL (tptp.hAPP @t1291 @t1099))) % 18.94/19.17 (define @t4510 () (tptp.c_Predicate_Opred__comp @t10 @t38 @t150 @t124 @t2608)) % 18.94/19.17 (define @t4511 () (tptp.hAPP (tptp.hAPP @t4266 @t124) @t2)) % 18.94/19.17 (define @t4512 () (tptp.c_Wellfounded_Owf @t10 @t124)) % 18.94/19.17 (define @t4513 () (@list @t2 @t38 @t124 @t10)) % 18.94/19.17 (define @t4514 () (@var "V_rb_2" $$unsorted)) % 18.94/19.17 (define @t4515 () (@var "V_ra_2" $$unsorted)) % 18.94/19.17 (define @t4516 () (tptp.hAPP @t4490 @t361)) % 18.94/19.17 (define @t4517 () (@list @t1504 @t124 @t10)) % 18.94/19.17 (define @t4518 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4519 () (tptp.c_Set_OCollect @t4148)) % 18.94/19.17 (define @t4520 () (tptp.hAPP @t124 @t1099)) % 18.94/19.17 (define @t4521 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3481)) % 18.94/19.17 (define @t4522 () (@list @t3528 @t124 @t10)) % 18.94/19.17 (define @t4523 () (tptp.hAPP @t4521 @t124)) % 18.94/19.17 (define @t4524 () (tptp.hAPP @t4114 (tptp.hAPP @t4276 @t219))) % 18.94/19.17 (define @t4525 () (tptp.hBOOL (tptp.hAPP @t4524 @t124))) % 18.94/19.17 (define @t4526 () (tptp.hAPP @t4419 @t361)) % 18.94/19.17 (define @t4527 () (tptp.hAPP @t4526 @t348)) % 18.94/19.17 (define @t4528 () (tptp.c_Wellfounded_Owf @t10 @t4527)) % 18.94/19.17 (define @t4529 () (tptp.c_Relation_OImage @t10 @t10 @t361)) % 18.94/19.17 (define @t4530 () (tptp.c_Wellfounded_Owf @t10 @t348)) % 18.94/19.17 (define @t4531 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t3481 @t3481) @t56)) % 18.94/19.17 (define @t4532 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t3481 @t3481) @t56)) % 18.94/19.17 (define @t4533 () (tptp.hAPP @t3537 @t348)) % 18.94/19.17 (define @t4534 () (tptp.hAPP @t3537 @t361)) % 18.94/19.17 (define @t4535 () (tptp.c_List_Olenlex @t10 @t124)) % 18.94/19.17 (define @t4536 () (tptp.tc_List_Olist @t10)) % 18.94/19.17 (define @t4537 () (tptp.hAPP @t4114 (tptp.hAPP @t4112 @t309))) % 18.94/19.17 (define @t4538 () (tptp.hBOOL (tptp.hAPP @t4537 @t361))) % 18.94/19.17 (define @t4539 () (tptp.hBOOL (tptp.hAPP @t311 @t743))) % 18.94/19.17 (define @t4540 () (tptp.hBOOL (tptp.hAPP @t317 @t271))) % 18.94/19.17 (define @t4541 () (not (= @t743 @t749))) % 18.94/19.17 (define @t4542 () (tptp.hBOOL (tptp.hAPP @t1291 @t743))) % 18.94/19.17 (define @t4543 () (tptp.hBOOL (tptp.hAPP @t1291 @t271))) % 18.94/19.17 (define @t4544 () (@list @t361 @t743 @t271 @t10)) % 18.94/19.17 (define @t4545 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1650 tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t4546 () (tptp.c_List_Olex @t10 @t124)) % 18.94/19.17 (define @t4547 () (tptp.c_List_Olexn @t10 @t124)) % 18.94/19.17 (define @t4548 () (tptp.hAPP @t4547 @t831)) % 18.94/19.17 (define @t4549 () (@list @t831 @t124 @t10)) % 18.94/19.17 (define @t4550 () (tptp.tc_prod @t4536 @t4536)) % 18.94/19.17 (define @t4551 () (tptp.tc_fun @t4550 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4552 () (tptp.hAPP @t2898 @t56)) % 18.94/19.17 (define @t4553 () (tptp.c_HOL_OEx @t38)) % 18.94/19.17 (define @t4554 () (tptp.hAPP @t3974 @t4553)) % 18.94/19.17 (define @t4555 () (tptp.hAPP (tptp.c_Set_OCollect @t3532) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t38 @t10 tptp.tc_HOL_Obool) @t56))) % 18.94/19.17 (define @t4556 () (tptp.c_Relation_ORange @t38 @t10)) % 18.94/19.17 (define @t4557 () (tptp.hAPP (tptp.c_Relation_ORange @t10 @t38) @t124)) % 18.94/19.17 (define @t4558 () (@list @t124 @t216 @t219 @t38 @t10)) % 18.94/19.17 (define @t4559 () (tptp.c_Relation_ORange @t10 @t10)) % 18.94/19.17 (define @t4560 () (tptp.hAPP @t4556 @t22)) % 18.94/19.17 (define @t4561 () (tptp.hAPP @t4556 @t23)) % 18.94/19.17 (define @t4562 () (tptp.c_Orderings_Obot__class_Obot @t3533)) % 18.94/19.17 (define @t4563 () (@list @t10 @t38)) % 18.94/19.17 (define @t4564 () (tptp.hAPP @t4556 @t124)) % 18.94/19.17 (define @t4565 () (@list @t124 @t10 @t38)) % 18.94/19.17 (define @t4566 () (tptp.hBOOL (tptp.hAPP @t1324 @t124))) % 18.94/19.17 (define @t4567 () (@list @t124 @t38 @t10)) % 18.94/19.17 (define @t4568 () (@list @t124 @t38 @t219 @t10)) % 18.94/19.17 (define @t4569 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3533)) % 18.94/19.17 (define @t4570 () (tptp.c_Predicate_ORangeP @t10 @t38 @t124)) % 18.94/19.17 (define @t4571 () (@list @t38 @t10 @t216 @t219 @t124)) % 18.94/19.17 (define @t4572 () (tptp.c_Nitpick_Ofrac @t33)) % 18.94/19.17 (define @t4573 () (tptp.c_Relation_ODomain @t10 @t10)) % 18.94/19.17 (define @t4574 () (tptp.hAPP @t4573 @t124)) % 18.94/19.17 (define @t4575 () (tptp.c_Relation_ODomain @t10 @t38)) % 18.94/19.17 (define @t4576 () (tptp.hAPP @t4575 @t124)) % 18.94/19.17 (define @t4577 () (tptp.hBOOL (tptp.hAPP @t250 @t4576))) % 18.94/19.17 (define @t4578 () (tptp.hAPP @t3529 @t124)) % 18.94/19.17 (define @t4579 () (tptp.hBOOL (tptp.hAPP @t4578 @t2608))) % 18.94/19.17 (define @t4580 () (@list @t2608 @t124 @t38 @t10)) % 18.94/19.17 (define @t4581 () (tptp.hAPP @t4575 @t22)) % 18.94/19.17 (define @t4582 () (tptp.hAPP @t4575 @t23)) % 18.94/19.17 (define @t4583 () (@list @t361 @t38 @t10)) % 18.94/19.17 (define @t4584 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3956 (tptp.hAPP @t3984 @t195)) @t124))) % 18.94/19.17 (define @t4585 () (tptp.c_Set_Oinsert @t1321)) % 18.94/19.17 (define @t4586 () (tptp.hAPP @t4585 @t3985)) % 18.94/19.17 (define @t4587 () (tptp.c_Groups_Ominus__class_Ominus @t1322)) % 18.94/19.17 (define @t4588 () (tptp.hAPP @t4559 @t124)) % 18.94/19.17 (define @t4589 () (tptp.c_Product__Type_OSigma @t10 @t38)) % 18.94/19.17 (define @t4590 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3962 @t150) @t3953) @t2)) % 18.94/19.17 (define @t4591 () (tptp.c_Predicate_ODomainP @t10 @t38 @t124)) % 18.94/19.17 (define @t4592 () (tptp.hAPP @t4589 @t23)) % 18.94/19.17 (define @t4593 () (tptp.hAPP @t4592 @t22)) % 18.94/19.17 (define @t4594 () (tptp.hBOOL (tptp.hAPP @t3986 @t4593))) % 18.94/19.17 (define @t4595 () (tptp.hAPP @t775 @t60)) % 18.94/19.17 (define @t4596 () (tptp.c_Product__Type_OSigma @t38 @t10)) % 18.94/19.17 (define @t4597 () (tptp.hAPP (tptp.hAPP @t4596 @t22) @t4595)) % 18.94/19.17 (define @t4598 () (tptp.hAPP @t4596 @t23)) % 18.94/19.17 (define @t4599 () (tptp.hAPP @t4598 @t4595)) % 18.94/19.17 (define @t4600 () (tptp.hBOOL (tptp.hAPP @t334 @t60))) % 18.94/19.17 (define @t4601 () (@list @t22 @t23 @t38 @t60 @t47 @t10)) % 18.94/19.17 (define @t4602 () (tptp.hAPP @t771 @t22)) % 18.94/19.17 (define @t4603 () (tptp.hAPP @t4592 @t4602)) % 18.94/19.17 (define @t4604 () (tptp.c_Finite__Set_Ocard @t1321)) % 18.94/19.17 (define @t4605 () (tptp.c_COMBK @t256 @t38)) % 18.94/19.17 (define @t4606 () (tptp.c_Product__Type_OSigma @t38 @t150)) % 18.94/19.17 (define @t4607 () (tptp.hAPP (tptp.hAPP @t4606 @t23) (tptp.hAPP @t4605 @t22))) % 18.94/19.17 (define @t4608 () (tptp.hAPP @t771 @t612)) % 18.94/19.17 (define @t4609 () (tptp.c_Groups_Ouminus__class_Ouminus @t1322)) % 18.94/19.17 (define @t4610 () (tptp.hAPP @t4589 @t600)) % 18.94/19.17 (define @t4611 () (tptp.hAPP @t771 @t23)) % 18.94/19.17 (define @t4612 () (tptp.hAPP @t4589 @t178)) % 18.94/19.17 (define @t4613 () (tptp.hAPP @t4612 @t22)) % 18.94/19.17 (define @t4614 () (tptp.hAPP @t4612 @t23)) % 18.94/19.17 (define @t4615 () (tptp.c_COMBS @t10 @t111 @t111)) % 18.94/19.17 (define @t4616 () (tptp.hAPP @t771 @t60)) % 18.94/19.17 (define @t4617 () (tptp.hAPP @t4589 @t22)) % 18.94/19.17 (define @t4618 () (tptp.hAPP @t4617 @t4616)) % 18.94/19.17 (define @t4619 () (tptp.hAPP @t4592 @t4616)) % 18.94/19.17 (define @t4620 () (@list @t60 @t22 @t23 @t38 @t10)) % 18.94/19.17 (define @t4621 () (tptp.hAPP (tptp.hAPP @t4589 @t555) @t60)) % 18.94/19.17 (define @t4622 () (tptp.hAPP @t4612 @t60)) % 18.94/19.17 (define @t4623 () (@list @t60 @t555 @t178 @t38 @t10)) % 18.94/19.17 (define @t4624 () (tptp.c_COMBK @t256 @t10)) % 18.94/19.17 (define @t4625 () (tptp.c_Product__Type_OSigma @t10 @t150)) % 18.94/19.17 (define @t4626 () (tptp.hAPP @t4625 @t23)) % 18.94/19.17 (define @t4627 () (tptp.hBOOL (tptp.hAPP @t4578 @t4603))) % 18.94/19.17 (define @t4628 () (tptp.hAPP @t4598 (tptp.hAPP @t775 @t22))) % 18.94/19.17 (define @t4629 () (tptp.hAPP (tptp.c_COMBC @t10 @t38 @t1321) @t3953)) % 18.94/19.17 (define @t4630 () (tptp.hBOOL (tptp.hAPP @t1324 @t4603))) % 18.94/19.17 (define @t4631 () (tptp.c_COMBK @t25 @t10)) % 18.94/19.17 (define @t4632 () (tptp.c_Product__Type_OSigma @t10 @t10)) % 18.94/19.17 (define @t4633 () (tptp.hAPP (tptp.hAPP @t4632 @t23) (tptp.hAPP @t4631 @t23))) % 18.94/19.17 (define @t4634 () (tptp.hBOOL (tptp.hAPP @t4416 @t4633))) % 18.94/19.17 (define @t4635 () (@list @t22 @t23 @t216 @t219 @t38 @t10)) % 18.94/19.17 (define @t4636 () (tptp.hAPP @t380 @t23)) % 18.94/19.17 (define @t4637 () (tptp.c_Orderings_Oord__class_Oless__eq @t3533)) % 18.94/19.17 (define @t4638 () (tptp.hAPP @t4589 @t2806)) % 18.94/19.17 (define @t4639 () (tptp.hAPP @t3935 @t2811)) % 18.94/19.17 (define @t4640 () (@list @t53 @t56 @t38 @t10)) % 18.94/19.17 (define @t4641 () (tptp.hAPP (tptp.c_Set_Oimage @t3532 @t38 @t4241) @t4628)) % 18.94/19.17 (define @t4642 () (tptp.hAPP (tptp.c_Set_Oimage @t1321 @t38 @t4224) @t4603)) % 18.94/19.17 (define @t4643 () (tptp.hAPP @t4589 @t854)) % 18.94/19.17 (define @t4644 () (tptp.hAPP @t771 (tptp.hAPP @t1159 @t22))) % 18.94/19.17 (define @t4645 () (@var "V_E_2" $$unsorted)) % 18.94/19.17 (define @t4646 () (tptp.tc_fun @t3933 @t1322)) % 18.94/19.17 (define @t4647 () (tptp.tc_fun @t1251 @t1322)) % 18.94/19.17 (define @t4648 () (tptp.tc_fun @t1251 @t3933)) % 18.94/19.17 (define @t4649 () (tptp.tc_fun @t1251 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4650 () (tptp.tc_prod @t150 @t1251)) % 18.94/19.17 (define @t4651 () (tptp.tc_fun @t1322 @t1322)) % 18.94/19.17 (define @t4652 () (tptp.tc_fun @t38 @t4651)) % 18.94/19.17 (define @t4653 () (tptp.tc_fun @t38 @t1322)) % 18.94/19.17 (define @t4654 () (tptp.tc_fun @t150 @t150)) % 18.94/19.17 (define @t4655 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t2848 @t2848) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4654 (tptp.tc_fun @t2848 @t2848) @t10) (tptp.c_COMBB @t150 @t150 @t38)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t150 @t4654 @t10) @t1451) @t2))) @t1)) % 18.94/19.17 (define @t4656 () (tptp.tc_fun @t2848 @t111)) % 18.94/19.17 (define @t4657 () (tptp.tc_fun @t10 @t2848)) % 18.94/19.17 (define @t4658 () (tptp.tc_fun @t38 @t1170)) % 18.94/19.17 (define @t4659 () (tptp.tc_fun @t10 @t4658)) % 18.94/19.17 (define @t4660 () (tptp.tc_fun @t10 @t799)) % 18.94/19.17 (define @t4661 () (tptp.c_Groups_Oone__class_Oone @t150)) % 18.94/19.17 (define @t4662 () (tptp.c_Fun_Oid @t10)) % 18.94/19.17 (define @t4663 () (tptp.c_Set_Oimage @t10 @t10 @t4662)) % 18.94/19.17 (define @t4664 () (tptp.c_Fun_Oid @t1321)) % 18.94/19.17 (define @t4665 () (tptp.c_Fun_Oid @t38)) % 18.94/19.17 (define @t4666 () (@var "V_x_1" $$unsorted)) % 18.94/19.17 (define @t4667 () (tptp.c_Fun_Oid @t33)) % 18.94/19.17 (define @t4668 () (tptp.c_Fun_Ocomp @t38 @t38 @t10 @t4665)) % 18.94/19.17 (define @t4669 () (@list @t22 @t2 @t10 @t38)) % 18.94/19.17 (define @t4670 () (@list @t2 @t22 @t38 @t23 @t10 @t150)) % 18.94/19.17 (define @t4671 () (tptp.hAPP @t3953 @t3)) % 18.94/19.17 (define @t4672 () (tptp.hAPP @t4671 @t195)) % 18.94/19.17 (define @t4673 () (tptp.hAPP @t179 @t195)) % 18.94/19.17 (define @t4674 () (tptp.hAPP @t3956 @t220)) % 18.94/19.17 (define @t4675 () (tptp.tc_prod @t38 @t1251)) % 18.94/19.17 (define @t4676 () (tptp.c_Set_Oimage @t4675 @t4460 (tptp.c_Product__Type_Omap__pair @t38 @t10 @t1251 @t150 @t2 @t1))) % 18.94/19.17 (define @t4677 () (tptp.c_Set_Oimage @t1251 @t150 @t1)) % 18.94/19.17 (define @t4678 () (tptp.c_Product__Type_Omap__pair @t10 @t150 @t38 @t1251 @t2 @t1)) % 18.94/19.17 (define @t4679 () (tptp.hAPP @t1 @t216)) % 18.94/19.17 (define @t4680 () (tptp.c_Product__Type_OPair @t150 @t1251)) % 18.94/19.17 (define @t4681 () (tptp.c_member @t4650)) % 18.94/19.17 (define @t4682 () (tptp.c_Product__Type_Omap__pair @t150 @t10 @t1251 @t38 @t2 @t1)) % 18.94/19.17 (define @t4683 () (tptp.c_Product__Type_Omap__pair @t10 @t10 @t38 @t38 @t744 (tptp.c_COMBI @t38))) % 18.94/19.17 (define @t4684 () (tptp.tc_prod @t1251 @t150)) % 18.94/19.17 (define @t4685 () (tptp.tc_prod @t1385 @t1384)) % 18.94/19.17 (define @t4686 () (@var "V_g2_2" $$unsorted)) % 18.94/19.17 (define @t4687 () (@var "V_g1_2" $$unsorted)) % 18.94/19.17 (define @t4688 () (@var "V_prod_2" $$unsorted)) % 18.94/19.17 (define @t4689 () (tptp.tc_fun @t1251 @t4650)) % 18.94/19.17 (define @t4690 () (tptp.tc_fun @t38 @t4650)) % 18.94/19.17 (define @t4691 () (tptp.tc_fun @t38 @t1251)) % 18.94/19.17 (define @t4692 () (= @t606 @t1118)) % 18.94/19.17 (define @t4693 () (forall @t7 (=> @t326 @t4116))) % 18.94/19.17 (define @t4694 () (tptp.c_Relation_Orefl__on @t10 @t23 @t124)) % 18.94/19.17 (define @t4695 () (tptp.hAPP @t4262 (tptp.hAPP @t4261 @t124))) % 18.94/19.17 (define @t4696 () (tptp.c_Wellfounded_OwfP @t10 @t124)) % 18.94/19.17 (define @t4697 () (tptp.c_Relation_Orefl__on @t10 @t22 @t2608)) % 18.94/19.17 (define @t4698 () (@list @t2608 @t22 @t124 @t23 @t10)) % 18.94/19.17 (define @t4699 () (tptp.hAPP @t4523 @t2608)) % 18.94/19.17 (define @t4700 () (tptp.c_Predicate_Oreflp @t10 @t124)) % 18.94/19.17 (define @t4701 () (@list @t23 @t124 @t10)) % 18.94/19.17 (define @t4702 () (tptp.c_Wellfounded_Oacyclic @t10 @t4695)) % 18.94/19.17 (define @t4703 () (tptp.hAPP @t124 @t47)) % 18.94/19.17 (define @t4704 () (tptp.c_Wellfounded_Oacyclic @t10 @t124)) % 18.94/19.17 (define @t4705 () (@list @t124 @t2608 @t10)) % 18.94/19.17 (define @t4706 () (tptp.hBOOL @t4242)) % 18.94/19.17 (define @t4707 () (tptp.hAPP tptp.c_Int_ORep__Integ @t3)) % 18.94/19.17 (define @t4708 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4450 @t97) tptp.c_Int_OInteg))) % 18.94/19.17 (define @t4709 () (@list @t56 @t97)) % 18.94/19.17 (define @t4710 () (@list @t97)) % 18.94/19.17 (define @t4711 () (tptp.hAPP @t4114 @t3)) % 18.94/19.17 (define @t4712 () (tptp.hBOOL (tptp.hAPP @t4711 @t124))) % 18.94/19.17 (define @t4713 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t195)) % 18.94/19.17 (define @t4714 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4450 @t195) tptp.c_Int_OInteg))) % 18.94/19.17 (define @t4715 () (@list @t47 @t56)) % 18.94/19.17 (define @t4716 () (tptp.hBOOL @t177)) % 18.94/19.17 (define @t4717 () (tptp.hBOOL (tptp.hAPP @t317 @t749))) % 18.94/19.17 (define @t4718 () (tptp.hAPP @t723 @t23)) % 18.94/19.17 (define @t4719 () (tptp.hAPP @t724 (tptp.hAPP @t2844 (tptp.hAPP (tptp.hAPP @t2842 tptp.c_fimplies) @t4718)))) % 18.94/19.17 (define @t4720 () (tptp.hAPP @t3974 (tptp.c_HOL_OAll @t38))) % 18.94/19.17 (define @t4721 () (tptp.tc_fun @t300 @t111)) % 18.94/19.17 (define @t4722 () (tptp.hAPP @t3510 (tptp.hAPP @t1174 (tptp.hAPP @t2825 @t375)))) % 18.94/19.17 (define @t4723 () (tptp.hAPP @t1079 (tptp.c_HOL_OAll @t10))) % 18.94/19.17 (define @t4724 () (tptp.hAPP @t124 @t2517)) % 18.94/19.17 (define @t4725 () (tptp.hAPP @t124 @t452)) % 18.94/19.17 (define @t4726 () (tptp.hAPP @t1136 @t513)) % 18.94/19.17 (define @t4727 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t25 @t109 tptp.tc_HOL_Obool) @t273) @t23)) % 18.94/19.17 (define @t4728 () (tptp.c_COMBB @t109 @t109 @t10)) % 18.94/19.17 (define @t4729 () (tptp.c_COMBB @t109 tptp.tc_HOL_Obool @t10)) % 18.94/19.17 (define @t4730 () (tptp.hAPP @t1192 @t47)) % 18.94/19.17 (define @t4731 () (tptp.c_Hilbert__Choice_OEps @t10 @t56)) % 18.94/19.17 (define @t4732 () (tptp.hBOOL (tptp.hAPP @t56 @t4731))) % 18.94/19.17 (define @t4733 () (@list @t10 @t56)) % 18.94/19.17 (define @t4734 () (@var "B_P" $$unsorted)) % 18.94/19.17 (define @t4735 () (tptp.hAPP @t4111 @t195)) % 18.94/19.17 (define @t4736 () (tptp.c_Wellfounded_Oacc @t10 @t361)) % 18.94/19.17 (define @t4737 () (tptp.hAPP @t4111 @t2859)) % 18.94/19.17 (define @t4738 () (@list @t361 @t47 @t10)) % 18.94/19.17 (define @t4739 () (tptp.hAPP tptp.c_Nat_OSuc @t1883)) % 18.94/19.17 (define @t4740 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t38 @t150 @t1251 @t10) @t2) @t1) @t47)) % 18.94/19.17 (define @t4741 () (@list @t47 @t1 @t2 @t10 @t1251 @t150 @t38)) % 18.94/19.17 (define @t4742 () (tptp.tc_fun @t1384 @t38)) % 18.94/19.17 (define @t4743 () (tptp.tc_fun @t1251 @t38)) % 18.94/19.17 (define @t4744 () (tptp.tc_fun @t150 @t4743)) % 18.94/19.17 (define @t4745 () (tptp.hAPP (tptp.hAPP @t3912 @t118) @t3911)) % 18.94/19.17 (define @t4746 () (tptp.hAPP (tptp.c_Random_Oiterate @t38 @t10 @t118 @t2) @t47)) % 18.94/19.17 (define @t4747 () (= @t118 @t3897)) % 18.94/19.17 (define @t4748 () (not @t4747)) % 18.94/19.17 (define @t4749 () (@list @t47 @t2 @t10 @t38 @t118)) % 18.94/19.17 (define @t4750 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.17 (define @t4751 () (tptp.c_Random_Olog @t85 @t1767)) % 18.94/19.17 (define @t4752 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.17 (define @t4753 () (tptp.hAPP @t4752 @t1767)) % 18.94/19.17 (define @t4754 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.17 (define @t4755 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4754 @t85) @t3911)) (tptp.hBOOL (tptp.hAPP @t4753 @t85)))) % 18.94/19.17 (define @t4756 () (tptp.c_Random_Ominus__shift @t2082 @t1791 @t1868)) % 18.94/19.17 (define @t4757 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4752 @t1791) @t1868))) % 18.94/19.17 (define @t4758 () (not @t4757)) % 18.94/19.17 (define @t4759 () (tptp.c_Random_Oinc__shift @t2151 @t1791)) % 18.94/19.17 (define @t4760 () (= @t2151 @t1791)) % 18.94/19.17 (define @t4761 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.17 (define @t4762 () (tptp.hAPP @t4752 @t3897)) % 18.94/19.17 (define @t4763 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 18.94/19.17 (define @t4764 () (tptp.hAPP @t4385 (tptp.hAPP @t4444 @t831))) % 18.94/19.17 (define @t4765 () (tptp.hBOOL (tptp.hAPP @t1515 @t452))) % 18.94/19.17 (define @t4766 () (tptp.c_Transitive__Closure_Otrancl @t10 @t124)) % 18.94/19.17 (define @t4767 () (tptp.c_Wellfounded_Owf @t10 @t4766)) % 18.94/19.17 (define @t4768 () (forall @t7 (not (tptp.hBOOL (tptp.hAPP @t4115 @t4766))))) % 18.94/19.17 (define @t4769 () (tptp.hBOOL (tptp.hAPP @t4278 @t4766))) % 18.94/19.17 (define @t4770 () (tptp.hAPP @t3537 @t4766)) % 18.94/19.17 (define @t4771 () (tptp.hAPP @t4114 @t1504)) % 18.94/19.17 (define @t4772 () (tptp.hBOOL (tptp.hAPP @t4771 @t4766))) % 18.94/19.17 (define @t4773 () (tptp.hBOOL (tptp.hAPP @t4771 @t124))) % 18.94/19.17 (define @t4774 () (@list @t124 @t1504 @t10)) % 18.94/19.17 (define @t4775 () (tptp.hAPP @t4114 (tptp.hAPP @t4276 @t220))) % 18.94/19.17 (define @t4776 () (tptp.hBOOL (tptp.hAPP @t4775 @t4766))) % 18.94/19.17 (define @t4777 () (tptp.hAPP @t4111 @t216)) % 18.94/19.17 (define @t4778 () (tptp.hAPP @t4114 (tptp.hAPP @t4777 @t220))) % 18.94/19.17 (define @t4779 () (=> (tptp.hBOOL (tptp.hAPP @t4778 @t4766)) @t4776)) % 18.94/19.17 (define @t4780 () (@list @t220 @t124 @t216 @t219 @t10)) % 18.94/19.17 (define @t4781 () (tptp.hBOOL (tptp.hAPP @t4778 @t124))) % 18.94/19.17 (define @t4782 () (=> @t4781 @t4776)) % 18.94/19.17 (define @t4783 () (tptp.c_Transitive__Closure_Otrancl @t10 @t361)) % 18.94/19.17 (define @t4784 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t124)) % 18.94/19.17 (define @t4785 () (tptp.hAPP @t4419 @t4766)) % 18.94/19.17 (define @t4786 () (tptp.hAPP @t4316 @t47)) % 18.94/19.17 (define @t4787 () (tptp.hAPP (tptp.hAPP @t4413 @t4786) @t124)) % 18.94/19.17 (define @t4788 () (@list @t124 @t47 @t97 @t10)) % 18.94/19.17 (define @t4789 () (tptp.c_Relation_OId @t10)) % 18.94/19.17 (define @t4790 () (tptp.hAPP @t4420 @t4789)) % 18.94/19.17 (define @t4791 () (@list @t97 @t47 @t124 @t10)) % 18.94/19.17 (define @t4792 () (tptp.hBOOL (tptp.hAPP @t4278 @t4784))) % 18.94/19.17 (define @t4793 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t361)) % 18.94/19.17 (define @t4794 () (tptp.hAPP @t4478 @t124)) % 18.94/19.17 (define @t4795 () (tptp.hAPP @t4794 @t4784)) % 18.94/19.17 (define @t4796 () (tptp.hAPP (tptp.hAPP @t4478 @t4784) @t124)) % 18.94/19.17 (define @t4797 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t4527)) % 18.94/19.17 (define @t4798 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t348)) % 18.94/19.17 (define @t4799 () (tptp.hAPP @t4419 @t4793)) % 18.94/19.17 (define @t4800 () (tptp.hAPP @t4799 @t4798)) % 18.94/19.17 (define @t4801 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t2608)) % 18.94/19.17 (define @t4802 () (tptp.hAPP @t3537 @t4784)) % 18.94/19.17 (define @t4803 () (tptp.hBOOL (tptp.hAPP @t4802 @t4801))) % 18.94/19.17 (define @t4804 () (tptp.hAPP @t4114 @t47)) % 18.94/19.17 (define @t4805 () (tptp.hBOOL (tptp.hAPP @t4775 @t4784))) % 18.94/19.17 (define @t4806 () (tptp.hBOOL (tptp.hAPP @t4778 @t4784))) % 18.94/19.17 (define @t4807 () (=> @t4806 @t4805)) % 18.94/19.17 (define @t4808 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3481) @t124) @t4789)) % 18.94/19.17 (define @t4809 () (tptp.hAPP @t4114 (tptp.hAPP @t4218 @t513))) % 18.94/19.17 (define @t4810 () (tptp.hBOOL (tptp.hAPP @t4219 @t4784))) % 18.94/19.17 (define @t4811 () (@list @t513 @t124 @t97 @t47 @t10)) % 18.94/19.17 (define @t4812 () (=> @t4806 @t4776)) % 18.94/19.17 (define @t4813 () (tptp.hBOOL (tptp.hAPP @t4219 @t4783))) % 18.94/19.17 (define @t4814 () (tptp.hBOOL (tptp.hAPP @t4219 @t4793))) % 18.94/19.17 (define @t4815 () (@list @t361 @t97 @t47 @t10)) % 18.94/19.17 (define @t4816 () (tptp.hAPP @t4114 (tptp.hAPP @t4777 @t219))) % 18.94/19.17 (define @t4817 () (tptp.hBOOL (tptp.hAPP @t4816 @t4784))) % 18.94/19.17 (define @t4818 () (not @t4810)) % 18.94/19.17 (define @t4819 () (tptp.hAPP @t4114 (tptp.hAPP @t4218 @t47))) % 18.94/19.17 (define @t4820 () (tptp.c_Relation_Oconverse @t10 @t10)) % 18.94/19.17 (define @t4821 () (tptp.hAPP @t4820 @t124)) % 18.94/19.17 (define @t4822 () (forall @t456 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4111 (tptp.hAPP @t2 @t3536)) @t2600)) @t4784)))) % 18.94/19.17 (define @t4823 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t4821)) % 18.94/19.17 (define @t4824 () (tptp.c_Relation_Oconverse @t38 @t10)) % 18.94/19.17 (define @t4825 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3533 @t1322 @t150) @t4824) @t124)) % 18.94/19.17 (define @t4826 () (@list @t124 @t348 @t150 @t10 @t38)) % 18.94/19.17 (define @t4827 () (tptp.hAPP @t3979 (tptp.hAPP (tptp.hAPP @t3977 @t216) @t219))) % 18.94/19.17 (define @t4828 () (tptp.hBOOL (tptp.hAPP @t4827 @t124))) % 18.94/19.17 (define @t4829 () (tptp.hAPP @t4824 @t124)) % 18.94/19.17 (define @t4830 () (tptp.hBOOL (tptp.hAPP @t3986 @t4829))) % 18.94/19.17 (define @t4831 () (tptp.hAPP (tptp.c_Relation_Oconverse @t10 @t38) @t124)) % 18.94/19.17 (define @t4832 () (@list @t2608 @t124 @t150 @t10 @t38)) % 18.94/19.17 (define @t4833 () (tptp.hAPP @t4824 @t2608)) % 18.94/19.17 (define @t4834 () (@list @t2608 @t124 @t10 @t38)) % 18.94/19.17 (define @t4835 () (tptp.hAPP @t4820 @t4766)) % 18.94/19.17 (define @t4836 () (tptp.c_Transitive__Closure_Otrancl @t10 @t4821)) % 18.94/19.17 (define @t4837 () (tptp.c_Wellfounded_Owf @t10 @t4821)) % 18.94/19.17 (define @t4838 () (tptp.hAPP (tptp.hAPP @t4478 @t4821) @t124)) % 18.94/19.17 (define @t4839 () (= @t4838 @t124)) % 18.94/19.17 (define @t4840 () (tptp.hAPP @t4575 @t4829)) % 18.94/19.17 (define @t4841 () (tptp.hBOOL (tptp.hAPP @t4219 @t4823))) % 18.94/19.17 (define @t4842 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 @t4786) @t4784))) % 18.94/19.17 (define @t4843 () (@list @t124 @t97 @t47 @t10)) % 18.94/19.17 (define @t4844 () (tptp.hBOOL (tptp.hAPP @t4219 @t4836))) % 18.94/19.17 (define @t4845 () (tptp.hBOOL (tptp.hAPP @t4219 @t4835))) % 18.94/19.17 (define @t4846 () (tptp.tc_fun @t38 @t4012)) % 18.94/19.17 (define @t4847 () (tptp.c_Relation_Ototal__on @t10 @t23 @t124)) % 18.94/19.17 (define @t4848 () (tptp.c_Relation_Osingle__valued @t10 @t38 @t124)) % 18.94/19.17 (define @t4849 () (tptp.hAPP @t4671 @t2859)) % 18.94/19.17 (define @t4850 () (@list @t513 @t97 @t47 @t124 @t10)) % 18.94/19.17 (define @t4851 () (tptp.c_Nat_Ocompow @t3480 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4852 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t3481) @t1798) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3481 @t3481) @t4851) @t361))) % 18.94/19.17 (define @t4853 () (tptp.hBOOL (tptp.hAPP @t4771 @t4793))) % 18.94/19.17 (define @t4854 () (@list @t361 @t1504 @t10)) % 18.94/19.17 (define @t4855 () (tptp.hAPP (tptp.hAPP @t4851 @t831) @t361)) % 18.94/19.17 (define @t4856 () (@list @t831 @t361 @t10)) % 18.94/19.17 (define @t4857 () (@list @t361 @t831 @t10)) % 18.94/19.17 (define @t4858 () (tptp.c_Nat_Ocompow @t10 @t10)) % 18.94/19.17 (define @t4859 () (tptp.hAPP (tptp.hAPP @t4858 @t561) @t2)) % 18.94/19.17 (define @t4860 () (tptp.hAPP @t4858 @t831)) % 18.94/19.17 (define @t4861 () (tptp.hAPP @t4860 @t2)) % 18.94/19.17 (define @t4862 () (tptp.hAPP (tptp.hAPP @t4478 @t4855) @t361)) % 18.94/19.17 (define @t4863 () (tptp.hBOOL (tptp.hAPP @t4771 (tptp.hAPP (tptp.hAPP @t4851 @t2225) @t361)))) % 18.94/19.17 (define @t4864 () (tptp.hAPP (tptp.hAPP @t4851 @t2478) @t361)) % 18.94/19.17 (define @t4865 () (tptp.hAPP (tptp.hAPP @t4851 @t1949) @t361)) % 18.94/19.17 (define @t4866 () (tptp.hBOOL (tptp.hAPP @t4809 @t4864))) % 18.94/19.17 (define @t4867 () (tptp.hAPP @t4114 (tptp.hAPP @t4735 @t513))) % 18.94/19.17 (define @t4868 () (not (tptp.hBOOL (tptp.hAPP @t4867 @t361)))) % 18.94/19.17 (define @t4869 () (tptp.hAPP (tptp.hAPP @t4851 @t1614) @t361)) % 18.94/19.17 (define @t4870 () (tptp.hAPP @t4114 (tptp.hAPP @t4218 @t195))) % 18.94/19.17 (define @t4871 () (@list @t195 @t1614)) % 18.94/19.17 (define @t4872 () (=> @t1987 (not @t1209))) % 18.94/19.17 (define @t4873 () (tptp.hBOOL (tptp.hAPP @t4809 @t4855))) % 18.94/19.17 (define @t4874 () (@list @t361 @t831 @t513 @t47 @t10)) % 18.94/19.17 (define @t4875 () (tptp.hBOOL (tptp.hAPP @t4870 @t361))) % 18.94/19.17 (define @t4876 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t56)) % 18.94/19.17 (define @t4877 () (tptp.hBOOL (tptp.hAPP @t4278 @t4876))) % 18.94/19.17 (define @t4878 () (tptp.hAPP @t4114 (tptp.hAPP @t4735 @t3))) % 18.94/19.17 (define @t4879 () (tptp.hBOOL (tptp.hAPP @t4278 (tptp.c_Transitive__Closure_Ortrancl @t10 (tptp.hAPP (tptp.hAPP @t4419 @t56) @t53))))) % 18.94/19.17 (define @t4880 () (@list @t53 @t56 @t216 @t219 @t10)) % 18.94/19.17 (define @t4881 () (tptp.hBOOL (tptp.hAPP @t4867 @t4855))) % 18.94/19.17 (define @t4882 () (tptp.hAPP @t4114 (tptp.hAPP @t4737 @t97))) % 18.94/19.17 (define @t4883 () (tptp.hAPP @t4114 (tptp.hAPP @t4218 @t2859))) % 18.94/19.17 (define @t4884 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t2939)) % 18.94/19.17 (define @t4885 () (tptp.hAPP (tptp.hAPP @t4884 @t47) @t23)) % 18.94/19.17 (define @t4886 () (tptp.c_Finite__Set_Ofold @t10 @t38 @t2)) % 18.94/19.17 (define @t4887 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t38 @t10 @t2) @t513)) % 18.94/19.17 (define @t4888 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t466)) % 18.94/19.17 (define @t4889 () (tptp.hAPP @t4888 @t216)) % 18.94/19.17 (define @t4890 () (tptp.hAPP @t4889 @t23)) % 18.94/19.17 (define @t4891 () (@list @t219 @t216 @t23 @t10)) % 18.94/19.17 (define @t4892 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t616)) % 18.94/19.17 (define @t4893 () (tptp.hAPP @t4892 @t216)) % 18.94/19.17 (define @t4894 () (tptp.hAPP @t4893 @t23)) % 18.94/19.17 (define @t4895 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t2935)) % 18.94/19.17 (define @t4896 () (tptp.hAPP @t4895 @t216)) % 18.94/19.17 (define @t4897 () (tptp.hAPP @t4896 @t23)) % 18.94/19.17 (define @t4898 () (tptp.hAPP @t4884 @t216)) % 18.94/19.17 (define @t4899 () (tptp.hAPP @t4898 @t23)) % 18.94/19.17 (define @t4900 () (tptp.hAPP @t4886 @t513)) % 18.94/19.17 (define @t4901 () (tptp.hAPP @t4900 @t23)) % 18.94/19.17 (define @t4902 () (tptp.hAPP @t49 @t4901)) % 18.94/19.17 (define @t4903 () (tptp.hAPP @t4900 @t858)) % 18.94/19.17 (define @t4904 () (= @t4903 @t4902)) % 18.94/19.17 (define @t4905 () (@list @t47 @t513 @t23 @t2 @t38 @t10)) % 18.94/19.17 (define @t4906 () (tptp.hAPP (tptp.hAPP @t4886 @t1203) @t23)) % 18.94/19.17 (define @t4907 () (= @t4903 @t4906)) % 18.94/19.17 (define @t4908 () (tptp.c_Finite__Set_Ofold @t10 @t38 (tptp.hAPP (tptp.hAPP @t1558 @t812) @t2))) % 18.94/19.17 (define @t4909 () (tptp.c_Finite__Set_Ofold @t10 @t38 (tptp.hAPP (tptp.hAPP @t1558 @t815) @t2))) % 18.94/19.17 (define @t4910 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t2)) % 18.94/19.17 (define @t4911 () (@list @t216 @t219 @t23 @t10)) % 18.94/19.17 (define @t4912 () (= (tptp.hAPP @t1446 @t854) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t10 @t1212) @t219) @t23))) % 18.94/19.17 (define @t4913 () (tptp.hAPP (tptp.hAPP @t4895 @t219) @t23)) % 18.94/19.17 (define @t4914 () (tptp.hAPP (tptp.hAPP @t4884 @t219) @t23)) % 18.94/19.17 (define @t4915 () (tptp.hAPP (tptp.hAPP @t4895 @t47) @t23)) % 18.94/19.17 (define @t4916 () (tptp.hAPP @t49 (tptp.hAPP @t4900 @t912))) % 18.94/19.17 (define @t4917 () (tptp.c_Finite__Set_Ofun__left__comm @t10 @t38 @t2)) % 18.94/19.17 (define @t4918 () (@list @t513 @t47 @t23 @t2 @t38 @t10)) % 18.94/19.17 (define @t4919 () (@var "B_y_H" $$unsorted)) % 18.94/19.17 (define @t4920 () (@list @t220 @t216 @t23 @t10)) % 18.94/19.17 (define @t4921 () (@var "B_Q" $$unsorted)) % 18.94/19.17 (define @t4922 () (tptp.hBOOL (tptp.hAPP @t4878 @t124))) % 18.94/19.17 (define @t4923 () (tptp.hBOOL (tptp.hAPP @t317 @t4921))) % 18.94/19.17 (define @t4924 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t10 @t38 @t2 @t513 @t1 @t1082)) % 18.94/19.17 (define @t4925 () (@var "V_P_H_2" $$unsorted)) % 18.94/19.17 (define @t4926 () (tptp.hBOOL @t2694)) % 18.94/19.17 (define @t4927 () (@var "V_yx_2" $$unsorted)) % 18.94/19.17 (define @t4928 () (@var "V_xz_2" $$unsorted)) % 18.94/19.17 (define @t4929 () (tptp.c_Nitpick_Odenom @t10)) % 18.94/19.17 (define @t4930 () (tptp.hAPP @t4929 @t124)) % 18.94/19.17 (define @t4931 () (tptp.hAPP @t2256 @t3284)) % 18.94/19.17 (define @t4932 () (tptp.c_Nitpick_Onum @t10)) % 18.94/19.17 (define @t4933 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 18.94/19.17 (define @t4934 () (tptp.hAPP @t4929 @t3403)) % 18.94/19.17 (define @t4935 () (@list @t124 @t3403 @t10)) % 18.94/19.17 (define @t4936 () (tptp.c_Nitpick_Odenom @t33)) % 18.94/19.17 (define @t4937 () (tptp.hAPP @t4936 @t2329)) % 18.94/19.17 (define @t4938 () (tptp.c_Nitpick_Onum @t33)) % 18.94/19.17 (define @t4939 () (tptp.hAPP @t4938 @t2329)) % 18.94/19.17 (define @t4940 () (@list @t2329 @t33)) % 18.94/19.17 (define @t4941 () (tptp.hAPP @t4932 (tptp.c_Nitpick_Oplus__frac @t10 @t3403 (tptp.c_Nitpick_Ouminus__frac @t10 @t124)))) % 18.94/19.17 (define @t4942 () (tptp.c_Nitpick_ORep__Frac @t10)) % 18.94/19.17 (define @t4943 () (tptp.hAPP @t1056 @t2088)) % 18.94/19.17 (define @t4944 () (tptp.class_Rings_Olinordered__semidom @t38)) % 18.94/19.17 (define @t4945 () (tptp.c_Nat_Osize__class_Osize @t4536)) % 18.94/19.17 (define @t4946 () (tptp.tc_prod tptp.tc_Nat_Onat @t4536)) % 18.94/19.17 (define @t4947 () (@var "V_ys_2" $$unsorted)) % 18.94/19.17 (define @t4948 () (tptp.hAPP @t4945 @t4947)) % 18.94/19.17 (define @t4949 () (= @t4948 @t831)) % 18.94/19.17 (define @t4950 () (@var "V_xs_2" $$unsorted)) % 18.94/19.17 (define @t4951 () (tptp.hAPP @t4945 @t4950)) % 18.94/19.17 (define @t4952 () (tptp.c_Product__Type_OPair @t4536 @t4536)) % 18.94/19.17 (define @t4953 () (tptp.hAPP @t4952 @t4950)) % 18.94/19.17 (define @t4954 () (tptp.c_member @t4550)) % 18.94/19.17 (define @t4955 () (tptp.hAPP @t4954 (tptp.hAPP @t4953 @t4947))) % 18.94/19.17 (define @t4956 () (@var "V_ys" $$unsorted)) % 18.94/19.17 (define @t4957 () (@var "V_xs" $$unsorted)) % 18.94/19.17 (define @t4958 () (= @t4957 @t4956)) % 18.94/19.17 (define @t4959 () (tptp.tc_List_Olist @t33)) % 18.94/19.17 (define @t4960 () (tptp.c_Nat_Osize__class_Osize @t4959)) % 18.94/19.17 (define @t4961 () (tptp.hAPP @t4960 @t4956)) % 18.94/19.17 (define @t4962 () (tptp.hAPP @t4960 @t4957)) % 18.94/19.17 (define @t4963 () (@list @t4956 @t4957 @t33)) % 18.94/19.17 (define @t4964 () (tptp.tc_fun @t4551 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4965 () (tptp.tc_fun @t4536 @t4964)) % 18.94/19.17 (define @t4966 () (tptp.tc_fun @t4536 @t4550)) % 18.94/19.17 (define @t4967 () (tptp.tc_fun @t4536 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4968 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1650 @t4536)) % 18.94/19.17 (define @t4969 () (tptp.hAPP (tptp.hAPP @t4968 tptp.c_fequal) @t4945)) % 18.94/19.17 (define @t4970 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t4536)) % 18.94/19.17 (define @t4971 () (tptp.tc_fun @t4536 tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t4972 () (tptp.hAPP (tptp.c_COMBB @t1650 (tptp.tc_fun @t4971 @t4967) @t4536) @t4970)) % 18.94/19.17 (define @t4973 () (tptp.c_COMBC @t4536 @t4971 @t4967)) % 18.94/19.17 (define @t4974 () (tptp.hAPP (tptp.hAPP @t4973 (tptp.hAPP @t4972 @t4969)) @t4945)) % 18.94/19.17 (define @t4975 () (tptp.c_COMBB tptp.tc_HOL_Obool @t1170 @t4536)) % 18.94/19.17 (define @t4976 () (tptp.hAPP @t4975 tptp.c_fconj)) % 18.94/19.17 (define @t4977 () (tptp.tc_fun @t4536 @t1170)) % 18.94/19.17 (define @t4978 () (tptp.c_COMBB @t4967 @t4977 @t4536)) % 18.94/19.17 (define @t4979 () (tptp.c_COMBS @t4536 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4980 () (tptp.tc_fun @t4967 @t4967)) % 18.94/19.17 (define @t4981 () (tptp.hAPP (tptp.c_COMBB @t4977 @t4980 @t4536) @t4979)) % 18.94/19.17 (define @t4982 () (tptp.c_COMBS @t4536 @t4967 @t4967)) % 18.94/19.17 (define @t4983 () (tptp.c_Product__Type_Oprod_Oprod__case @t4536 @t4536 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4984 () (tptp.c_Set_OCollect @t4550)) % 18.94/19.17 (define @t4985 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t4959))) % 18.94/19.17 (define @t4986 () (@list @t4957 @t33)) % 18.94/19.17 (define @t4987 () (tptp.hAPP @t2786 @t4951)) % 18.94/19.17 (define @t4988 () (tptp.hAPP @t2790 (tptp.hAPP @t2789 @t4987))) % 18.94/19.17 (define @t4989 () (tptp.hAPP @t4988 (tptp.hAPP @t2788 @t178))) % 18.94/19.17 (define @t4990 () (tptp.c_List_Osublist @t10 @t4950 @t178)) % 18.94/19.17 (define @t4991 () (@list @t178 @t4950 @t10)) % 18.94/19.17 (define @t4992 () (tptp.c_COMBC @t4536 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t4993 () (tptp.hAPP @t4992 @t4969)) % 18.94/19.17 (define @t4994 () (tptp.hAPP @t4993 @t2478)) % 18.94/19.17 (define @t4995 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4536)) % 18.94/19.17 (define @t4996 () (tptp.c_List_Olist_OCons @t10)) % 18.94/19.17 (define @t4997 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t4536 @t4536) @t4996)) % 18.94/19.17 (define @t4998 () (tptp.tc_prod @t10 @t4536)) % 18.94/19.17 (define @t4999 () (tptp.hAPP @t4945 @t97)) % 18.94/19.17 (define @t5000 () (tptp.hAPP @t4945 @t47)) % 18.94/19.17 (define @t5001 () (= @t5000 @t4999)) % 18.94/19.17 (define @t5002 () (tptp.c_List_Olexord @t10 @t124)) % 18.94/19.17 (define @t5003 () (tptp.hAPP @t4952 @t47)) % 18.94/19.17 (define @t5004 () (tptp.hAPP @t4954 (tptp.hAPP @t5003 @t97))) % 18.94/19.17 (define @t5005 () (tptp.hBOOL (tptp.hAPP @t5004 @t5002))) % 18.94/19.17 (define @t5006 () (tptp.hAPP (tptp.hAPP @t4996 @t216) @t97)) % 18.94/19.17 (define @t5007 () (tptp.hAPP @t4996 @t219)) % 18.94/19.17 (define @t5008 () (tptp.hAPP @t5007 @t47)) % 18.94/19.17 (define @t5009 () (tptp.c_List_Olist_OCons @t33)) % 18.94/19.17 (define @t5010 () (tptp.hAPP @t5009 @t32)) % 18.94/19.17 (define @t5011 () (tptp.hAPP @t5010 @t4956)) % 18.94/19.17 (define @t5012 () (tptp.hAPP @t1512 @t4962)) % 18.94/19.17 (define @t5013 () (@var "V_list_H_2" $$unsorted)) % 18.94/19.17 (define @t5014 () (@var "V_list_2" $$unsorted)) % 18.94/19.17 (define @t5015 () (tptp.hAPP @t5007 @t5014)) % 18.94/19.17 (define @t5016 () (tptp.hAPP @t5010 @t4957)) % 18.94/19.17 (define @t5017 () (@list @t4957 @t32 @t33)) % 18.94/19.17 (define @t5018 () (@list @t32 @t33 @t4957)) % 18.94/19.17 (define @t5019 () (@var "V_list" $$unsorted)) % 18.94/19.17 (define @t5020 () (tptp.hAPP @t5009 @t81)) % 18.94/19.17 (define @t5021 () (= @t4951 @t4948)) % 18.94/19.17 (define @t5022 () (tptp.hAPP @t4996 @t97)) % 18.94/19.17 (define @t5023 () (tptp.hAPP @t5022 @t4947)) % 18.94/19.17 (define @t5024 () (tptp.hAPP @t4996 @t47)) % 18.94/19.17 (define @t5025 () (tptp.hAPP @t5024 @t4950)) % 18.94/19.17 (define @t5026 () (tptp.hAPP @t4952 @t5025)) % 18.94/19.17 (define @t5027 () (tptp.hAPP @t4954 (tptp.hAPP @t5026 @t5023))) % 18.94/19.17 (define @t5028 () (@list @t124 @t4947 @t97 @t4950 @t47 @t10)) % 18.94/19.17 (define @t5029 () (tptp.c_member @t4536)) % 18.94/19.17 (define @t5030 () (tptp.hAPP (tptp.c_COMBC @t4536 @t4967 tptp.tc_HOL_Obool) @t5029)) % 18.94/19.17 (define @t5031 () (tptp.tc_fun @t4536 @t4536)) % 18.94/19.17 (define @t5032 () (tptp.tc_fun @t5031 @t4967)) % 18.94/19.17 (define @t5033 () (tptp.tc_fun @t10 @t4967)) % 18.94/19.17 (define @t5034 () (tptp.tc_fun @t10 @t5031)) % 18.94/19.17 (define @t5035 () (tptp.tc_fun @t10 @t4977)) % 18.94/19.17 (define @t5036 () (tptp.tc_fun @t10 @t4980)) % 18.94/19.17 (define @t5037 () (tptp.c_Set_OCollect @t4536)) % 18.94/19.17 (define @t5038 () (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t33) @t32)) % 18.94/19.17 (define @t5039 () (tptp.hAPP (tptp.c_Random_Opick @t33 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t33)) @t32) @t4957)) @t1767)) % 18.94/19.17 (define @t5040 () (tptp.hBOOL (tptp.hAPP @t4753 @t5038))) % 18.94/19.17 (define @t5041 () (tptp.c_Random_Oselect__weight @t10 @t4950)) % 18.94/19.17 (define @t5042 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t10)) % 18.94/19.17 (define @t5043 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t10)) % 18.94/19.17 (define @t5044 () (@list @t4950 @t47 @t10)) % 18.94/19.17 (define @t5045 () (tptp.c_List_Olistrel1 @t10 @t124)) % 18.94/19.17 (define @t5046 () (tptp.c_Transitive__Closure_Ortrancl @t4536 @t5045)) % 18.94/19.17 (define @t5047 () (tptp.hBOOL (tptp.hAPP @t4955 @t5046))) % 18.94/19.17 (define @t5048 () (@list @t4947 @t4950 @t124 @t97 @t47 @t10)) % 18.94/19.17 (define @t5049 () (tptp.c_Wellfounded_Oacc @t4536 @t5045)) % 18.94/19.17 (define @t5050 () (tptp.hAPP @t5029 @t5025)) % 18.94/19.17 (define @t5051 () (tptp.hAPP @t5029 @t4950)) % 18.94/19.17 (define @t5052 () (tptp.hBOOL (tptp.hAPP @t5051 @t5049))) % 18.94/19.17 (define @t5053 () (tptp.c_Orderings_Oord__class_Oless__eq @t4551)) % 18.94/19.17 (define @t5054 () (tptp.hAPP (tptp.c_Relation_Oconverse @t4536 @t4536) @t5045)) % 18.94/19.17 (define @t5055 () (tptp.c_List_Olistrel1 @t10 @t4821)) % 18.94/19.17 (define @t5056 () (tptp.hAPP @t5053 @t5045)) % 18.94/19.17 (define @t5057 () (tptp.hAPP @t4954 (tptp.hAPP @t5026 (tptp.hAPP @t5024 @t4947)))) % 18.94/19.17 (define @t5058 () (@list @t47 @t124 @t4947 @t4950 @t10)) % 18.94/19.17 (define @t5059 () (tptp.hBOOL (tptp.hAPP @t4955 @t5045))) % 18.94/19.17 (define @t5060 () (@list @t124 @t4947 @t4950 @t10)) % 18.94/19.17 (define @t5061 () (= @t4950 @t4947)) % 18.94/19.17 (define @t5062 () (tptp.hAPP @t1596 (tptp.hAPP @t1386 @t219))) % 18.94/19.17 (define @t5063 () (tptp.c_Orderings_Obot__class_Obot @t4967)) % 18.94/19.17 (define @t5064 () (tptp.c_Set_Oinsert @t4536)) % 18.94/19.17 (define @t5065 () (tptp.c_List_Olistrel @t10 @t124)) % 18.94/19.17 (define @t5066 () (tptp.c_Relation_OImage @t4536 @t4536 @t5065)) % 18.94/19.17 (define @t5067 () (tptp.c_List_Olistrel @t10 @t4784)) % 18.94/19.17 (define @t5068 () (@list @t124 @t4950 @t10)) % 18.94/19.17 (define @t5069 () (tptp.hAPP @t5053 @t5065)) % 18.94/19.17 (define @t5070 () (tptp.hBOOL (tptp.hAPP @t4955 @t5065))) % 18.94/19.17 (define @t5071 () (@var "V_zs_2" $$unsorted)) % 18.94/19.17 (define @t5072 () (tptp.hAPP @t4952 @t4947)) % 18.94/19.17 (define @t5073 () (tptp.hBOOL (tptp.hAPP @t4955 @t5067))) % 18.94/19.17 (define @t5074 () (@var "B_xs" $$unsorted)) % 18.94/19.17 (define @t5075 () (tptp.hAPP @t4996 @t3)) % 18.94/19.17 (define @t5076 () (tptp.hAPP @t5075 @t5074)) % 18.94/19.17 (define @t5077 () (tptp.hBOOL (tptp.hAPP @t4703 @t97))) % 18.94/19.17 (define @t5078 () (tptp.hBOOL (tptp.hAPP @t4520 @t1098))) % 18.94/19.17 (define @t5079 () (tptp.hAPP @t4996 @t1098)) % 18.94/19.17 (define @t5080 () (tptp.hAPP @t4996 @t1099)) % 18.94/19.17 (define @t5081 () (@var "B_ys" $$unsorted)) % 18.94/19.17 (define @t5082 () (tptp.hAPP @t4996 @t195)) % 18.94/19.17 (define @t5083 () (tptp.c_List_Olists @t10 @t23)) % 18.94/19.17 (define @t5084 () (tptp.c_Orderings_Otop__class_Otop @t4967)) % 18.94/19.17 (define @t5085 () (tptp.c_List_Olists @t10 @t22)) % 18.94/19.17 (define @t5086 () (tptp.c_Orderings_Oord__class_Oless__eq @t4967)) % 18.94/19.17 (define @t5087 () (tptp.hBOOL (tptp.hAPP @t5051 @t5083))) % 18.94/19.17 (define @t5088 () (tptp.hBOOL (tptp.hAPP @t5051 (tptp.c_List_Olists @t10 @t4451)))) % 18.94/19.17 (define @t5089 () (tptp.c_List_Onth @t10)) % 18.94/19.17 (define @t5090 () (tptp.hAPP @t5089 @t4947)) % 18.94/19.17 (define @t5091 () (tptp.hAPP @t5089 @t4950)) % 18.94/19.17 (define @t5092 () (tptp.hAPP @t5091 @t2225)) % 18.94/19.17 (define @t5093 () (tptp.hAPP @t4111 @t5092)) % 18.94/19.17 (define @t5094 () (tptp.hAPP @t1754 @t2225)) % 18.94/19.17 (define @t5095 () (tptp.hBOOL (tptp.hAPP @t5094 @t4951))) % 18.94/19.17 (define @t5096 () (tptp.hAPP @t4952 @t97)) % 18.94/19.17 (define @t5097 () (tptp.c_List_Onth @t33)) % 18.94/19.17 (define @t5098 () (tptp.hAPP @t5097 @t5016)) % 18.94/19.17 (define @t5099 () (tptp.hAPP @t5097 @t4957)) % 18.94/19.17 (define @t5100 () (tptp.hAPP @t5099 @t1536)) % 18.94/19.17 (define @t5101 () (tptp.hAPP @t5091 @t452)) % 18.94/19.17 (define @t5102 () (tptp.hBOOL (tptp.hAPP @t2778 @t4951))) % 18.94/19.17 (define @t5103 () (@list @t10 @t4947 @t4950)) % 18.94/19.17 (define @t5104 () (tptp.c_Finite__Set_Ofinite @t4536)) % 18.94/19.17 (define @t5105 () (tptp.hAPP @t5098 @t1536)) % 18.94/19.17 (define @t5106 () (@list @t4957 @t32 @t33 @t1536)) % 18.94/19.17 (define @t5107 () (tptp.hAPP @t5098 @t3542)) % 18.94/19.17 (define @t5108 () (not @t3706)) % 18.94/19.17 (define @t5109 () (@list @t4957 @t32 @t33 @t2151)) % 18.94/19.17 (define @t5110 () (tptp.c_List_Otake @t10)) % 18.94/19.17 (define @t5111 () (tptp.hAPP @t5110 @t452)) % 18.94/19.17 (define @t5112 () (tptp.hAPP @t4111 @t1294)) % 18.94/19.17 (define @t5113 () (tptp.c_List_Otake @t33)) % 18.94/19.17 (define @t5114 () (tptp.hAPP @t5113 @t1536)) % 18.94/19.17 (define @t5115 () (tptp.hAPP @t5114 @t4957)) % 18.94/19.17 (define @t5116 () (tptp.hBOOL (tptp.hAPP @t5012 @t1536))) % 18.94/19.17 (define @t5117 () (@list @t1536 @t4957 @t33)) % 18.94/19.17 (define @t5118 () (tptp.hAPP @t5099 @t1767)) % 18.94/19.17 (define @t5119 () (tptp.hBOOL (tptp.hAPP @t1862 @t1536))) % 18.94/19.17 (define @t5120 () (tptp.hAPP @t5110 @t831)) % 18.94/19.17 (define @t5121 () (tptp.hAPP (tptp.hAPP @t5113 @t1537) @t4957)) % 18.94/19.17 (define @t5122 () (@list @t4957 @t1537 @t1536 @t33)) % 18.94/19.17 (define @t5123 () (tptp.hAPP @t2994 @t4962)) % 18.94/19.17 (define @t5124 () (@list @t4957 @t1536 @t33)) % 18.94/19.17 (define @t5125 () (tptp.hAPP @t5113 @t2459)) % 18.94/19.17 (define @t5126 () (@list @t4957 @t32 @t1536 @t33)) % 18.94/19.17 (define @t5127 () (tptp.c_List_Oset @t10)) % 18.94/19.17 (define @t5128 () (tptp.c_COMBB @t25 @t109 @t4536)) % 18.94/19.17 (define @t5129 () (tptp.c_COMBC @t4536 @t25 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t5130 () (tptp.hAPP @t5129 (tptp.hAPP (tptp.hAPP @t5128 @t26) @t5127))) % 18.94/19.17 (define @t5131 () (tptp.hAPP @t5130 @t23)) % 18.94/19.17 (define @t5132 () (tptp.hAPP @t4979 (tptp.hAPP @t4976 @t5131))) % 18.94/19.17 (define @t5133 () (@list @t831 @t23 @t10)) % 18.94/19.17 (define @t5134 () (tptp.c_COMBB @t10 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5135 () (tptp.tc_fun tptp.tc_Nat_Onat @t10)) % 18.94/19.17 (define @t5136 () (tptp.tc_fun tptp.tc_Nat_Onat @t1170)) % 18.94/19.17 (define @t5137 () (tptp.hAPP (tptp.c_COMBC @t10 @t1650 @t1650) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5136 @t4248 @t10) @t2790) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1650 @t5136 @t10) @t2789) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5135 @t1650) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 (tptp.tc_fun @t5135 @t1650) @t10) @t5134) tptp.c_fequal)) @t5091))))) % 18.94/19.17 (define @t5138 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5139 () (tptp.hAPP (tptp.c_COMBB @t1650 tptp.tc_HOL_Obool @t10) @t5138)) % 18.94/19.17 (define @t5140 () (tptp.hAPP @t5127 @t4990)) % 18.94/19.17 (define @t5141 () (tptp.hAPP @t5127 @t4950)) % 18.94/19.17 (define @t5142 () (@list @t4950 @t10)) % 18.94/19.17 (define @t5143 () (tptp.hAPP @t5120 @t4950)) % 18.94/19.17 (define @t5144 () (tptp.hAPP @t5127 @t5143)) % 18.94/19.17 (define @t5145 () (@list @t4950 @t831 @t10)) % 18.94/19.17 (define @t5146 () (tptp.hBOOL (tptp.hAPP @t334 @t5141))) % 18.94/19.17 (define @t5147 () (@list @t4950 @t831 @t47 @t10)) % 18.94/19.17 (define @t5148 () (tptp.hAPP @t857 @t5141)) % 18.94/19.17 (define @t5149 () (tptp.hAPP @t5127 @t5025)) % 18.94/19.17 (define @t5150 () (tptp.hBOOL (tptp.hAPP @t332 @t5141))) % 18.94/19.17 (define @t5151 () (tptp.hBOOL (tptp.hAPP @t334 @t5140))) % 18.94/19.17 (define @t5152 () (not @t5146)) % 18.94/19.17 (define @t5153 () (@list @t178 @t4950 @t47 @t10)) % 18.94/19.17 (define @t5154 () (tptp.c_Enum_Osublists @t10 @t4950)) % 18.94/19.17 (define @t5155 () (tptp.c_List_Oset @t4536)) % 18.94/19.17 (define @t5156 () (tptp.c_Set_Oimage @t4536 @t25 @t5127)) % 18.94/19.17 (define @t5157 () (tptp.hAPP @t26 @t5141)) % 18.94/19.17 (define @t5158 () (@list @t47 @t4950 @t10)) % 18.94/19.17 (define @t5159 () (tptp.hAPP @t2454 @t5141)) % 18.94/19.17 (define @t5160 () (tptp.hAPP @t56 @t5101)) % 18.94/19.17 (define @t5161 () (tptp.hBOOL @t5160)) % 18.94/19.17 (define @t5162 () (=> @t5102 @t5161)) % 18.94/19.17 (define @t5163 () (forall @t456 @t5162)) % 18.94/19.17 (define @t5164 () (tptp.hBOOL (tptp.hAPP @t317 @t5141))) % 18.94/19.17 (define @t5165 () (forall @t7 (=> @t5164 @t314))) % 18.94/19.17 (define @t5166 () (@list @t56 @t4950 @t10)) % 18.94/19.17 (define @t5167 () (tptp.c_List_Olist_Olist__size @t10 @t2 @t4950)) % 18.94/19.17 (define @t5168 () (tptp.hAPP @t1754 @t97)) % 18.94/19.17 (define @t5169 () (@list @t2 @t97 @t4950 @t47 @t10)) % 18.94/19.17 (define @t5170 () (@list @t23 @t4950 @t10)) % 18.94/19.17 (define @t5171 () (tptp.hBOOL (tptp.hAPP @t1951 @t4951))) % 18.94/19.17 (define @t5172 () (tptp.hAPP @t5091 @t831)) % 18.94/19.17 (define @t5173 () (tptp.hBOOL (tptp.hAPP @t1822 @t4951))) % 18.94/19.17 (define @t5174 () (tptp.hAPP @t4993 @t831)) % 18.94/19.17 (define @t5175 () (tptp.hAPP (tptp.c_List_Ozip @t10 @t10) @t4950)) % 18.94/19.17 (define @t5176 () (tptp.c_List_Oset @t3480)) % 18.94/19.17 (define @t5177 () (tptp.hBOOL (tptp.hAPP @t4711 (tptp.hAPP @t5176 (tptp.hAPP @t5175 @t4947))))) % 18.94/19.17 (define @t5178 () (tptp.c_Enum_On__lists @t10 @t831 @t4950)) % 18.94/19.17 (define @t5179 () (tptp.hAPP @t5155 @t5178)) % 18.94/19.17 (define @t5180 () (tptp.hAPP @t4945 @t4956)) % 18.94/19.17 (define @t5181 () (tptp.c_List_Ozip @t33 @t10)) % 18.94/19.17 (define @t5182 () (tptp.hAPP @t5181 @t4957)) % 18.94/19.17 (define @t5183 () (tptp.hAPP @t5182 @t4956)) % 18.94/19.17 (define @t5184 () (tptp.tc_prod @t33 @t10)) % 18.94/19.17 (define @t5185 () (@list @t4956 @t4957 @t1536 @t10 @t33)) % 18.94/19.17 (define @t5186 () (tptp.hBOOL (tptp.hAPP @t250 @t5141))) % 18.94/19.17 (define @t5187 () (tptp.hAPP @t5175 @t4950)) % 18.94/19.17 (define @t5188 () (tptp.c_List_Ozip @t10 @t38)) % 18.94/19.17 (define @t5189 () (tptp.hAPP @t5188 @t4950)) % 18.94/19.17 (define @t5190 () (tptp.hAPP @t5189 @t4947)) % 18.94/19.17 (define @t5191 () (tptp.c_List_Oset @t1321)) % 18.94/19.17 (define @t5192 () (tptp.hAPP @t5191 @t5190)) % 18.94/19.17 (define @t5193 () (tptp.hBOOL (tptp.hAPP @t3957 @t5192))) % 18.94/19.17 (define @t5194 () (@list @t4947 @t4950 @t97 @t47 @t38 @t10)) % 18.94/19.17 (define @t5195 () (tptp.c_List_Oset @t38)) % 18.94/19.17 (define @t5196 () (tptp.hAPP @t5195 @t4947)) % 18.94/19.17 (define @t5197 () (tptp.hBOOL (tptp.hAPP @t1114 @t5196))) % 18.94/19.17 (define @t5198 () (tptp.hBOOL (tptp.hAPP @t1862 @t4962))) % 18.94/19.17 (define @t5199 () (tptp.hAPP @t5029 @t4947)) % 18.94/19.17 (define @t5200 () (tptp.c_Enum_On__lists @t33 @t1536 @t4957)) % 18.94/19.17 (define @t5201 () (tptp.tc_List_Olist @t38)) % 18.94/19.17 (define @t5202 () (tptp.c_Nat_Osize__class_Osize @t5201)) % 18.94/19.17 (define @t5203 () (tptp.hAPP @t5202 @t4947)) % 18.94/19.17 (define @t5204 () (tptp.hAPP (tptp.hAPP @t2994 @t4951) @t5203)) % 18.94/19.17 (define @t5205 () (tptp.c_List_Onth @t38)) % 18.94/19.17 (define @t5206 () (tptp.hAPP @t5205 @t4947)) % 18.94/19.17 (define @t5207 () (tptp.tc_fun tptp.tc_Nat_Onat @t1321)) % 18.94/19.17 (define @t5208 () (@list @t4947 @t4950 @t38 @t10)) % 18.94/19.17 (define @t5209 () (tptp.c_Enum_Oproduct @t10 @t38 @t4950 @t4947)) % 18.94/19.17 (define @t5210 () (tptp.hAPP (tptp.hAPP @t2211 @t1135) @t2205)) % 18.94/19.17 (define @t5211 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 18.94/19.17 (define @t5212 () (tptp.c_List_Oupto @t207 @t1135)) % 18.94/19.17 (define @t5213 () (tptp.hAPP @t5211 @t5212)) % 18.94/19.17 (define @t5214 () (tptp.c_List_Oupto @t2268 @t1135)) % 18.94/19.17 (define @t5215 () (tptp.c_List_Omonoid__add__class_Olistsum @t10)) % 18.94/19.17 (define @t5216 () (tptp.hAPP @t5215 @t4950)) % 18.94/19.17 (define @t5217 () (@var "V_ns_2" $$unsorted)) % 18.94/19.17 (define @t5218 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5219 () (tptp.hAPP @t5218 @t5217)) % 18.94/19.17 (define @t5220 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1616 @t5219)) (= @t3 @t1949)))) % 18.94/19.17 (define @t5221 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5222 () (tptp.c_List_Omonoid__add__class_Olistsum @t33)) % 18.94/19.17 (define @t5223 () (tptp.hAPP @t5222 @t4957)) % 18.94/19.17 (define @t5224 () (@var "V_ns" $$unsorted)) % 18.94/19.17 (define @t5225 () (tptp.hAPP @t5221 @t5224)) % 18.94/19.17 (define @t5226 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5227 () (tptp.hAPP (tptp.hAPP @t5226 @t5224) @t1791)) % 18.94/19.17 (define @t5228 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5229 () (tptp.c_Nat_Osize__class_Osize @t5228)) % 18.94/19.17 (define @t5230 () (tptp.hBOOL (tptp.hAPP @t1869 (tptp.hAPP @t5229 @t5224)))) % 18.94/19.17 (define @t5231 () (tptp.hAPP @t5113 @t2582)) % 18.94/19.17 (define @t5232 () (tptp.hAPP @t5231 @t4957)) % 18.94/19.17 (define @t5233 () (@list @t4957 @t33 @t1536)) % 18.94/19.17 (define @t5234 () (tptp.c_List_Obutlast @t10 @t4950)) % 18.94/19.17 (define @t5235 () (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP @t5127 @t5234)))) % 18.94/19.17 (define @t5236 () (tptp.c_List_Obutlast @t33 @t4957)) % 18.94/19.17 (define @t5237 () (tptp.hBOOL (tptp.hAPP @t1820 @t4962))) % 18.94/19.17 (define @t5238 () (tptp.hAPP @t1548 @t4962)) % 18.94/19.17 (define @t5239 () (tptp.hAPP @t5238 @t1599)) % 18.94/19.17 (define @t5240 () (tptp.hAPP @t5113 @t1791)) % 18.94/19.17 (define @t5241 () (tptp.hAPP @t5097 @t4956)) % 18.94/19.17 (define @t5242 () (tptp.hAPP @t5099 @t452)) % 18.94/19.17 (define @t5243 () (tptp.c_List_Olist__update @t33 @t4957)) % 18.94/19.17 (define @t5244 () (tptp.hAPP @t5243 @t1767)) % 18.94/19.17 (define @t5245 () (tptp.hAPP @t5244 @t32)) % 18.94/19.17 (define @t5246 () (@list @t32 @t1767 @t4957 @t33)) % 18.94/19.17 (define @t5247 () (tptp.hAPP @t5099 @t1766)) % 18.94/19.17 (define @t5248 () (tptp.hAPP @t5097 @t5245)) % 18.94/19.17 (define @t5249 () (tptp.hAPP @t5248 @t1766)) % 18.94/19.17 (define @t5250 () (= @t1767 @t1766)) % 18.94/19.17 (define @t5251 () (=> (not @t5250) (= @t5249 @t5247))) % 18.94/19.17 (define @t5252 () (@list @t1767 @t4957 @t33)) % 18.94/19.17 (define @t5253 () (tptp.c_List_Olist__update @t10 @t4950)) % 18.94/19.17 (define @t5254 () (tptp.hAPP (tptp.c_COMBB @t4536 @t4536 tptp.tc_Nat_Onat) @t5024)) % 18.94/19.17 (define @t5255 () (tptp.hAPP @t5009 @t64)) % 18.94/19.17 (define @t5256 () (tptp.hAPP @t5255 @t4957)) % 18.94/19.17 (define @t5257 () (tptp.c_List_Olist__update @t33 @t5016)) % 18.94/19.17 (define @t5258 () (tptp.hAPP @t5244 @t64)) % 18.94/19.17 (define @t5259 () (tptp.c_List_Olist__update @t33 @t5245)) % 18.94/19.17 (define @t5260 () (@var "V_x_H" $$unsorted)) % 18.94/19.17 (define @t5261 () (@var "V_i_H" $$unsorted)) % 18.94/19.17 (define @t5262 () (@var "V_xy" $$unsorted)) % 18.94/19.17 (define @t5263 () (tptp.hAPP (tptp.c_List_Olist__update @t10 @t4956) @t1767)) % 18.94/19.17 (define @t5264 () (tptp.hAPP (tptp.c_List_Olist__update @t5184 @t5183) @t1767)) % 18.94/19.17 (define @t5265 () (tptp.hAPP @t5253 @t207)) % 18.94/19.17 (define @t5266 () (tptp.hAPP @t5265 @t47)) % 18.94/19.17 (define @t5267 () (tptp.hAPP @t26 (tptp.hAPP @t5127 @t5266))) % 18.94/19.17 (define @t5268 () (tptp.hAPP @t5091 @t207)) % 18.94/19.17 (define @t5269 () (tptp.hBOOL (tptp.hAPP @t1927 @t4951))) % 18.94/19.17 (define @t5270 () (tptp.hAPP @t5243 @t1791)) % 18.94/19.17 (define @t5271 () (tptp.hAPP @t5270 @t32)) % 18.94/19.17 (define @t5272 () (tptp.c_List_Obutlast @t33 @t5271)) % 18.94/19.17 (define @t5273 () (= @t1791 @t5239)) % 18.94/19.17 (define @t5274 () (not @t5273)) % 18.94/19.17 (define @t5275 () (tptp.c_List_Odistinct @t10)) % 18.94/19.17 (define @t5276 () (tptp.hAPP @t843 @t5141)) % 18.94/19.17 (define @t5277 () (tptp.hBOOL (tptp.hAPP @t5275 @t4950))) % 18.94/19.17 (define @t5278 () (tptp.c_List_Odistinct @t33)) % 18.94/19.17 (define @t5279 () (tptp.hBOOL (tptp.hAPP @t5278 @t4957))) % 18.94/19.17 (define @t5280 () (tptp.c_List_Odistinct @t5184)) % 18.94/19.17 (define @t5281 () (@list @t4956 @t10 @t4957 @t33)) % 18.94/19.17 (define @t5282 () (tptp.c_List_Oupto @t1767 @t1766)) % 18.94/19.17 (define @t5283 () (tptp.hAPP @t5113 @t1767)) % 18.94/19.17 (define @t5284 () (tptp.hAPP @t5283 @t4957)) % 18.94/19.17 (define @t5285 () (and @t5152 @t5277)) % 18.94/19.17 (define @t5286 () (= @t5159 @t4951)) % 18.94/19.17 (define @t5287 () (tptp.hAPP @t5091 @t1135)) % 18.94/19.17 (define @t5288 () (tptp.hAPP @t1754 @t1135)) % 18.94/19.17 (define @t5289 () (@list @t1135 @t207 @t4950 @t10)) % 18.94/19.17 (define @t5290 () (tptp.hAPP @t5091 @t2517)) % 18.94/19.17 (define @t5291 () (tptp.hBOOL (tptp.hAPP @t2518 @t4951))) % 18.94/19.17 (define @t5292 () (tptp.c_Nitpick_Ocard_H @t10 @t23)) % 18.94/19.17 (define @t5293 () (tptp.c_Hilbert__Choice_OEps @t4536 (tptp.hAPP (tptp.hAPP @t4979 (tptp.hAPP @t4976 (tptp.hAPP (tptp.hAPP @t5129 (tptp.hAPP (tptp.hAPP @t5128 tptp.c_fequal) @t5127)) @t23))) @t5275))) % 18.94/19.17 (define @t5294 () (tptp.hAPP @t5276 @t873)) % 18.94/19.17 (define @t5295 () (tptp.c_List_Oremove1 @t10 @t47 @t4950)) % 18.94/19.17 (define @t5296 () (tptp.hAPP @t5127 @t5295)) % 18.94/19.17 (define @t5297 () (tptp.c_List_Oremove1 @t33 @t32 @t4957)) % 18.94/19.17 (define @t5298 () (@list @t32 @t4957 @t33)) % 18.94/19.17 (define @t5299 () (tptp.c_List_Oremove1 @t33 @t32 @t5256)) % 18.94/19.17 (define @t5300 () (@list @t4957 @t33 @t64 @t32)) % 18.94/19.17 (define @t5301 () (@var "V_zs" $$unsorted)) % 18.94/19.17 (define @t5302 () (@list @t5301 @t64 @t32 @t33)) % 18.94/19.17 (define @t5303 () (@list @t97 @t4950 @t47 @t10)) % 18.94/19.17 (define @t5304 () (tptp.hAPP @t4945 @t5295)) % 18.94/19.17 (define @t5305 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t23)) % 18.94/19.17 (define @t5306 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t912)) % 18.94/19.17 (define @t5307 () (tptp.hAPP (tptp.hAPP @t5113 @t3542) @t5016)) % 18.94/19.17 (define @t5308 () (tptp.c_List_Olist_ONil @t33)) % 18.94/19.17 (define @t5309 () (tptp.c_List_Olist_ONil @t10)) % 18.94/19.17 (define @t5310 () (= @t4950 @t5309)) % 18.94/19.17 (define @t5311 () (tptp.hAPP @t4954 (tptp.hAPP @t4953 @t5309))) % 18.94/19.17 (define @t5312 () (tptp.hAPP @t4952 @t5309)) % 18.94/19.17 (define @t5313 () (tptp.hAPP @t4954 (tptp.hAPP @t5312 @t4950))) % 18.94/19.17 (define @t5314 () (= @t4957 @t5308)) % 18.94/19.17 (define @t5315 () (not @t5314)) % 18.94/19.17 (define @t5316 () (@list @t33 @t4957)) % 18.94/19.17 (define @t5317 () (tptp.c_List_Olist_ONil @t5184)) % 18.94/19.17 (define @t5318 () (@list @t1386 @t10)) % 18.94/19.17 (define @t5319 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 18.94/19.17 (define @t5320 () (= @t5282 @t5319)) % 18.94/19.17 (define @t5321 () (@var "V_uu" $$unsorted)) % 18.94/19.17 (define @t5322 () (@var "V_list_H" $$unsorted)) % 18.94/19.17 (define @t5323 () (tptp.hAPP (tptp.hAPP @t5009 @t3338) @t5322)) % 18.94/19.17 (define @t5324 () (@list @t5322 @t3338 @t33)) % 18.94/19.17 (define @t5325 () (tptp.c_List_Olist_ONil @t4959)) % 18.94/19.17 (define @t5326 () (tptp.c_List_Olist_OCons @t4959)) % 18.94/19.17 (define @t5327 () (tptp.hAPP @t5326 @t5308)) % 18.94/19.17 (define @t5328 () (tptp.hAPP @t5327 @t5325)) % 18.94/19.17 (define @t5329 () (tptp.c_Enum_On__lists @t33 @t1536 @t5308)) % 18.94/19.17 (define @t5330 () (tptp.c_List_Obutlast @t33 @t5016)) % 18.94/19.17 (define @t5331 () (tptp.hAPP (tptp.c_List_Olist__update @t33 @t5308) @t1767)) % 18.94/19.17 (define @t5332 () (not @t5310)) % 18.94/19.17 (define @t5333 () (tptp.hAPP @t5010 @t5308)) % 18.94/19.17 (define @t5334 () (tptp.hAPP @t5312 @t5309)) % 18.94/19.17 (define @t5335 () (tptp.c_COMBC tptp.tc_Nat_Onat @t4536 @t4536)) % 18.94/19.17 (define @t5336 () (@list @t4950 @t47 @t831 @t10)) % 18.94/19.17 (define @t5337 () (tptp.hAPP @t2314 @t2205)) % 18.94/19.17 (define @t5338 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 18.94/19.17 (define @t5339 () (tptp.hAPP @t5024 @t5309)) % 18.94/19.17 (define @t5340 () (tptp.c_List_Osublist @t10 @t5339 @t23)) % 18.94/19.17 (define @t5341 () (tptp.hAPP @t2798 @t23)) % 18.94/19.17 (define @t5342 () (tptp.hBOOL @t5341)) % 18.94/19.17 (define @t5343 () (tptp.hAPP (tptp.hAPP @t5064 @t5309) @t5063)) % 18.94/19.17 (define @t5344 () (tptp.hAPP @t5114 @t5016)) % 18.94/19.17 (define @t5345 () (tptp.hAPP @t3547 @t1537)) % 18.94/19.17 (define @t5346 () (tptp.c_List_Oupto @t5345 @t3865)) % 18.94/19.17 (define @t5347 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t5345) @t3865))) % 18.94/19.17 (define @t5348 () (tptp.c_COMBC @t10 @t4536 @t4536)) % 18.94/19.17 (define @t5349 () (tptp.hAPP @t5348 @t4996)) % 18.94/19.17 (define @t5350 () (tptp.hAPP @t5349 @t5309)) % 18.94/19.17 (define @t5351 () (tptp.hBOOL (tptp.hAPP @t2629 @t1135))) % 18.94/19.17 (define @t5352 () (tptp.c_Wellfounded_Oaccp @t3926 tptp.c_List_Oupto__rel)) % 18.94/19.17 (define @t5353 () (tptp.c_Random_Oselect @t10 @t4950)) % 18.94/19.17 (define @t5354 () (tptp.c_Product__Type_Ofst @t10 @t4761)) % 18.94/19.17 (define @t5355 () (tptp.tc_List_Olist @t1321)) % 18.94/19.17 (define @t5356 () (tptp.c_List_Olist_OCons @t1321)) % 18.94/19.17 (define @t5357 () (tptp.tc_fun @t5355 @t5355)) % 18.94/19.17 (define @t5358 () (tptp.tc_fun @t4536 @t5355)) % 18.94/19.17 (define @t5359 () (tptp.c_List_Olist_ONil @t1321)) % 18.94/19.17 (define @t5360 () (tptp.c_List_Olist_OCons @t38)) % 18.94/19.17 (define @t5361 () (tptp.hAPP @t5360 @t97)) % 18.94/19.17 (define @t5362 () (tptp.hAPP @t5361 @t4947)) % 18.94/19.17 (define @t5363 () (tptp.hAPP @t2781 @t219)) % 18.94/19.17 (define @t5364 () (tptp.c_List_Olist_Olist__case @t10 @t38 @t2780 @t2781)) % 18.94/19.17 (define @t5365 () (tptp.c_List_Olist_ONil @t38)) % 18.94/19.17 (define @t5366 () (@list @t2781 @t2780 @t38 @t10)) % 18.94/19.17 (define @t5367 () (@var "V_As_2" $$unsorted)) % 18.94/19.17 (define @t5368 () (tptp.tc_fun @t5201 @t5355)) % 18.94/19.17 (define @t5369 () (@list @t4947 @t4950 @t47 @t38 @t10)) % 18.94/19.17 (define @t5370 () (tptp.hAPP (tptp.hAPP @t2201 @t452) @t2205)) % 18.94/19.17 (define @t5371 () (tptp.c_Lazy__Sequence_Oanamorph @t38 @t10 @t2)) % 18.94/19.17 (define @t5372 () (tptp.c_Product__Type_OPair @t4536 @t38)) % 18.94/19.17 (define @t5373 () (tptp.tc_prod @t4536 @t38)) % 18.94/19.17 (define @t5374 () (tptp.tc_fun @t38 @t5373)) % 18.94/19.17 (define @t5375 () (tptp.tc_fun @t4536 @t5374)) % 18.94/19.17 (define @t5376 () (tptp.tc_fun @t5373 @t5373)) % 18.94/19.17 (define @t5377 () (tptp.hAPP (tptp.hAPP @t5372 @t5309) @t47)) % 18.94/19.17 (define @t5378 () (tptp.hAPP (tptp.hAPP @t5371 @t118) @t47)) % 18.94/19.17 (define @t5379 () (tptp.c_List_Oappend @t10)) % 18.94/19.17 (define @t5380 () (tptp.hAPP @t5024 @t395)) % 18.94/19.17 (define @t5381 () (tptp.hAPP @t5022 @t5309)) % 18.94/19.17 (define @t5382 () (tptp.hAPP @t5379 @t4947)) % 18.94/19.17 (define @t5383 () (tptp.hAPP @t5382 @t5381)) % 18.94/19.17 (define @t5384 () (tptp.hAPP @t5379 @t4950)) % 18.94/19.17 (define @t5385 () (tptp.hAPP @t5384 @t5339)) % 18.94/19.17 (define @t5386 () (@var "B_ys_H" $$unsorted)) % 18.94/19.17 (define @t5387 () (tptp.hAPP (tptp.hAPP @t5379 @t5386) @t5071)) % 18.94/19.17 (define @t5388 () (tptp.hAPP @t5024 @t5386)) % 18.94/19.17 (define @t5389 () (@list @t5386)) % 18.94/19.17 (define @t5390 () (= @t4947 @t5309)) % 18.94/19.17 (define @t5391 () (tptp.hAPP @t5382 @t5071)) % 18.94/19.17 (define @t5392 () (tptp.c_List_Oappend @t33)) % 18.94/19.17 (define @t5393 () (tptp.hAPP @t5392 @t4957)) % 18.94/19.17 (define @t5394 () (tptp.hAPP @t5393 @t4956)) % 18.94/19.17 (define @t5395 () (@list @t4956 @t4957 @t32 @t33)) % 18.94/19.17 (define @t5396 () (tptp.hAPP (tptp.hAPP @t5392 @t4956) @t5301)) % 18.94/19.17 (define @t5397 () (@var "V_xs1" $$unsorted)) % 18.94/19.17 (define @t5398 () (tptp.hAPP @t5392 @t5397)) % 18.94/19.17 (define @t5399 () (tptp.hAPP @t5384 @t4947)) % 18.94/19.17 (define @t5400 () (@var "V_us" $$unsorted)) % 18.94/19.17 (define @t5401 () (= @t4947 @t5071)) % 18.94/19.17 (define @t5402 () (tptp.hAPP @t5379 @t5071)) % 18.94/19.17 (define @t5403 () (@list @t5071 @t4947 @t4950 @t10)) % 18.94/19.17 (define @t5404 () (@var "B_us" $$unsorted)) % 18.94/19.17 (define @t5405 () (tptp.hAPP @t5379 @t5404)) % 18.94/19.17 (define @t5406 () (tptp.hAPP @t5127 @t4947)) % 18.94/19.17 (define @t5407 () (tptp.hAPP (tptp.hAPP @t440 @t5141) @t5406)) % 18.94/19.17 (define @t5408 () (@list @t4947 @t4950 @t10)) % 18.94/19.17 (define @t5409 () (@var "V_vs" $$unsorted)) % 18.94/19.17 (define @t5410 () (tptp.hAPP @t5181 @t4956)) % 18.94/19.17 (define @t5411 () (tptp.c_List_Oappend @t5184)) % 18.94/19.17 (define @t5412 () (tptp.hAPP @t5181 @t5394)) % 18.94/19.17 (define @t5413 () (tptp.hAPP @t1596 @t4962)) % 18.94/19.17 (define @t5414 () (tptp.hAPP @t5413 @t4961)) % 18.94/19.17 (define @t5415 () (tptp.c_List_Obutlast @t33 @t5394)) % 18.94/19.17 (define @t5416 () (= @t4956 @t5308)) % 18.94/19.17 (define @t5417 () (not @t5416)) % 18.94/19.17 (define @t5418 () (@list @t4957 @t33 @t4956)) % 18.94/19.17 (define @t5419 () (tptp.hAPP (tptp.hAPP @t5392 @t5308) @t4956)) % 18.94/19.17 (define @t5420 () (@list @t4956 @t33)) % 18.94/19.17 (define @t5421 () (and @t5310 @t5390)) % 18.94/19.17 (define @t5422 () (tptp.hAPP @t5393 @t5011)) % 18.94/19.17 (define @t5423 () (tptp.hAPP @t5097 @t5394)) % 18.94/19.17 (define @t5424 () (tptp.hAPP @t1906 @t4962)) % 18.94/19.17 (define @t5425 () (tptp.hAPP @t5392 @t5115)) % 18.94/19.17 (define @t5426 () (@list @t4956 @t4957 @t1536 @t33)) % 18.94/19.17 (define @t5427 () (tptp.c_List_Olist__update @t33 @t5394)) % 18.94/19.17 (define @t5428 () (tptp.hAPP @t5255 @t4956)) % 18.94/19.17 (define @t5429 () (tptp.c_List_Oremove1 @t10 @t47 @t5399)) % 18.94/19.17 (define @t5430 () (@list @t4947 @t4950 @t47 @t10)) % 18.94/19.17 (define @t5431 () (tptp.c_List_Obutlast @t10 @t4947)) % 18.94/19.17 (define @t5432 () (tptp.hAPP @t5393 @t5333)) % 18.94/19.17 (define @t5433 () (@var "V_vs_2" $$unsorted)) % 18.94/19.17 (define @t5434 () (@var "V_us_2" $$unsorted)) % 18.94/19.17 (define @t5435 () (tptp.hAPP @t5384 @t5434)) % 18.94/19.17 (define @t5436 () (tptp.hAPP @t5379 @t47)) % 18.94/19.17 (define @t5437 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t4952 (tptp.hAPP @t5436 @t192)) (tptp.hAPP @t5436 @t1234))) @t5002))) % 18.94/19.17 (define @t5438 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t4952 @t192) @t1234)) @t5002))) % 18.94/19.17 (define @t5439 () (tptp.hBOOL (tptp.hAPP @t5275 @t4947))) % 18.94/19.17 (define @t5440 () (tptp.hAPP @t5423 @t1536)) % 18.94/19.17 (define @t5441 () (not @t5237)) % 18.94/19.17 (define @t5442 () (tptp.hAPP (tptp.hAPP @t5427 @t1536) @t32)) % 18.94/19.17 (define @t5443 () (@var "V_l_H_2" $$unsorted)) % 18.94/19.17 (define @t5444 () (tptp.hAPP @t5379 @t5434)) % 18.94/19.17 (define @t5445 () (tptp.hAPP @t5379 @t192)) % 18.94/19.17 (define @t5446 () (tptp.hAPP @t5009 @t5118)) % 18.94/19.17 (define @t5447 () (tptp.hAPP @t5392 @t5284)) % 18.94/19.17 (define @t5448 () (@list @t4957 @t33 @t1767)) % 18.94/19.17 (define @t5449 () (@var "B_vs" $$unsorted)) % 18.94/19.17 (define @t5450 () (@list @t5404 @t5449)) % 18.94/19.17 (define @t5451 () (tptp.hAPP (tptp.c_COMBC @t4536 @t4536 @t4536) @t5379)) % 18.94/19.17 (define @t5452 () (tptp.c_COMBB @t4536 @t5031 @t10)) % 18.94/19.17 (define @t5453 () (tptp.c_List_Orotate1 @t10)) % 18.94/19.17 (define @t5454 () (tptp.hAPP @t5453 @t4950)) % 18.94/19.17 (define @t5455 () (tptp.c_List_Odrop @t33)) % 18.94/19.17 (define @t5456 () (tptp.hAPP (tptp.hAPP @t5455 @t2485) @t4957)) % 18.94/19.17 (define @t5457 () (tptp.hAPP @t5455 @t1536)) % 18.94/19.17 (define @t5458 () (tptp.hAPP @t5457 @t4957)) % 18.94/19.17 (define @t5459 () (tptp.hAPP @t5455 @t2459)) % 18.94/19.17 (define @t5460 () (tptp.hAPP @t5455 @t1767)) % 18.94/19.17 (define @t5461 () (tptp.hAPP @t5460 @t4957)) % 18.94/19.17 (define @t5462 () (tptp.c_List_Odrop @t10)) % 18.94/19.17 (define @t5463 () (tptp.hAPP @t5455 @t1537)) % 18.94/19.17 (define @t5464 () (tptp.hAPP @t5463 @t4957)) % 18.94/19.17 (define @t5465 () (tptp.hAPP @t5462 @t831)) % 18.94/19.17 (define @t5466 () (tptp.hAPP @t5465 @t4950)) % 18.94/19.17 (define @t5467 () (tptp.hAPP @t5127 @t5466)) % 18.94/19.17 (define @t5468 () (tptp.c_List_Orotate1 @t33)) % 18.94/19.17 (define @t5469 () (tptp.hAPP @t5468 @t4957)) % 18.94/19.17 (define @t5470 () (tptp.hAPP @t5457 @t5236)) % 18.94/19.17 (define @t5471 () (tptp.c_List_Obutlast @t33 @t5458)) % 18.94/19.17 (define @t5472 () (tptp.hAPP @t5457 @t5016)) % 18.94/19.17 (define @t5473 () (tptp.hAPP @t1842 @t1767)) % 18.94/19.17 (define @t5474 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 18.94/19.17 (define @t5475 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 18.94/19.17 (define @t5476 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 18.94/19.17 (define @t5477 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 18.94/19.17 (define @t5478 () (tptp.hAPP @t4945 @t5477)) % 18.94/19.17 (define @t5479 () (tptp.hAPP @t4945 @t5476)) % 18.94/19.17 (define @t5480 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t5479) @t5478))) % 18.94/19.17 (define @t5481 () (tptp.hAPP @t5446 @t5456)) % 18.94/19.17 (define @t5482 () (tptp.hAPP @t4996 @t32)) % 18.94/19.17 (define @t5483 () (tptp.hAPP (tptp.hAPP @t5455 @t3542) @t5016)) % 18.94/19.17 (define @t5484 () (tptp.hBOOL (tptp.hAPP @t5012 @t1599))) % 18.94/19.17 (define @t5485 () (@list @t5301 @t4956 @t4957 @t10 @t33)) % 18.94/19.17 (define @t5486 () (tptp.hAPP @t5125 @t4957)) % 18.94/19.17 (define @t5487 () (tptp.c_List_Ohd @t33)) % 18.94/19.17 (define @t5488 () (tptp.hAPP @t5487 @t5458)) % 18.94/19.17 (define @t5489 () (@list @t1536 @t33 @t4957)) % 18.94/19.17 (define @t5490 () (tptp.hAPP @t5487 @t4957)) % 18.94/19.17 (define @t5491 () (tptp.hAPP @t5487 @t5394)) % 18.94/19.17 (define @t5492 () (=> @t5315 (= @t5491 @t5490))) % 18.94/19.17 (define @t5493 () (@list @t4956 @t33 @t4957)) % 18.94/19.17 (define @t5494 () (tptp.c_List_Ohd @t10)) % 18.94/19.17 (define @t5495 () (tptp.hAPP @t5494 @t4950)) % 18.94/19.17 (define @t5496 () (@list @t10 @t4950)) % 18.94/19.17 (define @t5497 () (tptp.hAPP @t5009 @t5490)) % 18.94/19.17 (define @t5498 () (tptp.c_List_Otl @t33)) % 18.94/19.17 (define @t5499 () (tptp.hAPP @t5498 @t4957)) % 18.94/19.17 (define @t5500 () (tptp.hAPP @t5392 @t5499)) % 18.94/19.17 (define @t5501 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1536 @t4962)) % 18.94/19.17 (define @t5502 () (tptp.c_List_Orotate @t33 @t1536)) % 18.94/19.17 (define @t5503 () (tptp.hAPP @t5502 @t4957)) % 18.94/19.17 (define @t5504 () (tptp.hAPP @t5498 @t5458)) % 18.94/19.17 (define @t5505 () (tptp.hAPP @t5457 @t5499)) % 18.94/19.17 (define @t5506 () (tptp.c_List_Orotate @t10 @t831)) % 18.94/19.17 (define @t5507 () (tptp.hAPP @t5506 @t4950)) % 18.94/19.17 (define @t5508 () (tptp.c_Fun_Oid @t4536)) % 18.94/19.17 (define @t5509 () (tptp.hAPP @t5468 @t5503)) % 18.94/19.17 (define @t5510 () (tptp.hAPP @t5114 @t5499)) % 18.94/19.17 (define @t5511 () (tptp.c_List_Otl @t10)) % 18.94/19.17 (define @t5512 () (= @t5503 @t4957)) % 18.94/19.17 (define @t5513 () (tptp.c_List_Ofoldl @t10 @t38 @t2 @t219)) % 18.94/19.17 (define @t5514 () (@list @t5071 @t97 @t47 @t10)) % 18.94/19.17 (define @t5515 () (tptp.c_List_Ofoldl @t10 @t10 @t1594 @t1939)) % 18.94/19.17 (define @t5516 () (tptp.class_Groups_Omonoid__add @t10)) % 18.94/19.17 (define @t5517 () (tptp.hAPP @t5360 @t47)) % 18.94/19.17 (define @t5518 () (tptp.hAPP @t5517 @t4950)) % 18.94/19.17 (define @t5519 () (tptp.hAPP @t5513 @t4950)) % 18.94/19.17 (define @t5520 () (tptp.c_List_Oappend @t38)) % 18.94/19.17 (define @t5521 () (tptp.hAPP (tptp.hAPP @t5520 @t4950) @t4947)) % 18.94/19.17 (define @t5522 () (tptp.c_List_Ofoldl @t38 @t10 (tptp.hAPP @t2142 @t2) @t97)) % 18.94/19.17 (define @t5523 () (tptp.hAPP (tptp.hAPP @t4886 @t97) @t5141)) % 18.94/19.17 (define @t5524 () (@list @t4950 @t97 @t2 @t38 @t10)) % 18.94/19.17 (define @t5525 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t2935 @t47) @t4950)) % 18.94/19.17 (define @t5526 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t2939 @t47) @t4950)) % 18.94/19.17 (define @t5527 () (tptp.hAPP @t5195 @t4950)) % 18.94/19.17 (define @t5528 () (@list @t2 @t4950 @t38 @t10)) % 18.94/19.17 (define @t5529 () (tptp.c_List_Olinorder__class_Oinsort__key @t10 @t10 @t744)) % 18.94/19.17 (define @t5530 () (tptp.hAPP @t5529 @t47)) % 18.94/19.17 (define @t5531 () (tptp.hAPP @t4996 @t1294)) % 18.94/19.17 (define @t5532 () (tptp.c_List_Olinorder__class_Oinsort__key @t10 @t38 @t2)) % 18.94/19.17 (define @t5533 () (tptp.hAPP @t5532 @t47)) % 18.94/19.17 (define @t5534 () (tptp.c_List_Olinorder__class_Oinsort__key @t38 @t10 @t2)) % 18.94/19.17 (define @t5535 () (tptp.hAPP @t5534 @t47)) % 18.94/19.17 (define @t5536 () (tptp.hAPP @t5535 @t5362)) % 18.94/19.17 (define @t5537 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t49) @t123))) % 18.94/19.17 (define @t5538 () (tptp.hAPP @t5530 @t4950)) % 18.94/19.17 (define @t5539 () (tptp.hAPP @t5529 @t97)) % 18.94/19.17 (define @t5540 () (tptp.hAPP @t5534 @t97)) % 18.94/19.17 (define @t5541 () (tptp.hAPP @t5535 @t4950)) % 18.94/19.17 (define @t5542 () (tptp.hAPP @t5533 @t4950)) % 18.94/19.17 (define @t5543 () (@list @t4950 @t47 @t2 @t10 @t38)) % 18.94/19.17 (define @t5544 () (tptp.hAPP tptp.c_Nat_OSuc @t4951)) % 18.94/19.17 (define @t5545 () (tptp.hAPP @t5532 @t219)) % 18.94/19.17 (define @t5546 () (tptp.hAPP @t5545 @t4950)) % 18.94/19.17 (define @t5547 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t38 @t10 @t2 @t47 @t4950)) % 18.94/19.17 (define @t5548 () (tptp.hAPP @t605 @t5527)) % 18.94/19.17 (define @t5549 () (tptp.hBOOL (tptp.hAPP @t614 @t5548))) % 18.94/19.17 (define @t5550 () (@list @t4950 @t38 @t47 @t2 @t10)) % 18.94/19.17 (define @t5551 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t10 @t10 @t744 @t47 @t4950)) % 18.94/19.17 (define @t5552 () (tptp.c_List_Olast @t33 @t4957)) % 18.94/19.17 (define @t5553 () (tptp.c_List_Olast @t33 @t5271)) % 18.94/19.17 (define @t5554 () (tptp.c_List_Olast @t33 @t5394)) % 18.94/19.17 (define @t5555 () (=> @t5416 (= @t5554 @t5552))) % 18.94/19.17 (define @t5556 () (=> @t5417 (= @t5554 (tptp.c_List_Olast @t33 @t4956)))) % 18.94/19.17 (define @t5557 () (tptp.c_List_Olast @t33 @t5016)) % 18.94/19.17 (define @t5558 () (=> @t5314 (= @t5557 @t32))) % 18.94/19.17 (define @t5559 () (=> @t5315 (= @t5557 @t5552))) % 18.94/19.17 (define @t5560 () (@var "V_as_2" $$unsorted)) % 18.94/19.17 (define @t5561 () (@var "B_l" $$unsorted)) % 18.94/19.17 (define @t5562 () (= @t219 @t5309)) % 18.94/19.17 (define @t5563 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 @t5043) (tptp.hAPP @t5042 @t3911)) @t4950)) % 18.94/19.17 (define @t5564 () (tptp.c_List_Omap @t10 @t38)) % 18.94/19.17 (define @t5565 () (tptp.hAPP @t5564 @t2)) % 18.94/19.17 (define @t5566 () (tptp.c_Fun_Oinj__on @t4536 @t5201 @t5565 @t5084)) % 18.94/19.17 (define @t5567 () (tptp.c_List_Olast @t10 @t4950)) % 18.94/19.17 (define @t5568 () (tptp.hAPP @t5565 @t4950)) % 18.94/19.17 (define @t5569 () (@list @t2 @t38 @t10 @t4950)) % 18.94/19.17 (define @t5570 () (tptp.hAPP @t5565 @t4947)) % 18.94/19.17 (define @t5571 () (= (= @t5568 @t5570) @t5061)) % 18.94/19.17 (define @t5572 () (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t5407)) % 18.94/19.17 (define @t5573 () (@list @t4947 @t4950 @t2 @t38 @t10)) % 18.94/19.17 (define @t5574 () (tptp.c_List_Omap @t38 @t10)) % 18.94/19.17 (define @t5575 () (tptp.hAPP @t5574 @t2)) % 18.94/19.17 (define @t5576 () (tptp.hAPP @t5575 @t4947)) % 18.94/19.17 (define @t5577 () (tptp.hAPP @t5575 @t4950)) % 18.94/19.17 (define @t5578 () (= @t5577 @t5576)) % 18.94/19.17 (define @t5579 () (@list @t4947 @t4950 @t2 @t10 @t38)) % 18.94/19.17 (define @t5580 () (tptp.c_List_Omap @t150 @t38)) % 18.94/19.17 (define @t5581 () (tptp.hAPP @t5580 @t2)) % 18.94/19.17 (define @t5582 () (tptp.hAPP @t5581 @t4950)) % 18.94/19.17 (define @t5583 () (@list @t4950 @t2 @t38 @t831 @t10)) % 18.94/19.17 (define @t5584 () (@list @t4950 @t2 @t10 @t38)) % 18.94/19.17 (define @t5585 () (= @t4950 @t5365)) % 18.94/19.17 (define @t5586 () (@list @t4950 @t2 @t38 @t10)) % 18.94/19.17 (define @t5587 () (tptp.hAPP (tptp.hAPP @t5574 @t1) @t4950)) % 18.94/19.17 (define @t5588 () (tptp.hAPP @t5215 @t5587)) % 18.94/19.17 (define @t5589 () (tptp.hAPP @t5215 @t5577)) % 18.94/19.17 (define @t5590 () (@list @t4950 @t1 @t2 @t38 @t10)) % 18.94/19.17 (define @t5591 () (tptp.tc_List_Olist @t150)) % 18.94/19.17 (define @t5592 () (tptp.hAPP @t5202 @t4950)) % 18.94/19.17 (define @t5593 () (tptp.c_List_Omap @t150 @t10)) % 18.94/19.17 (define @t5594 () (tptp.c_List_Otake @t38)) % 18.94/19.17 (define @t5595 () (tptp.hAPP @t5594 @t831)) % 18.94/19.17 (define @t5596 () (tptp.c_List_Omap @t10 @t10)) % 18.94/19.17 (define @t5597 () (tptp.hAPP @t5596 @t744)) % 18.94/19.17 (define @t5598 () (tptp.tc_fun @t1251 @t1321)) % 18.94/19.17 (define @t5599 () (tptp.hAPP (tptp.c_List_Omap @t1251 @t38) @t1)) % 18.94/19.17 (define @t5600 () (tptp.hAPP @t5593 @t2)) % 18.94/19.17 (define @t5601 () (tptp.hAPP @t5188 (tptp.hAPP @t5600 @t4950))) % 18.94/19.17 (define @t5602 () (tptp.c_List_Ozip @t38 @t150)) % 18.94/19.17 (define @t5603 () (tptp.hAPP (tptp.c_List_Omap @t3994 @t10) @t2)) % 18.94/19.17 (define @t5604 () (tptp.tc_fun @t1251 @t3994)) % 18.94/19.17 (define @t5605 () (tptp.tc_fun @t1251 @t150)) % 18.94/19.17 (define @t5606 () (tptp.tc_fun @t150 @t1321)) % 18.94/19.17 (define @t5607 () (tptp.hAPP (tptp.c_List_Odrop @t38) @t831)) % 18.94/19.17 (define @t5608 () (tptp.hAPP @t5593 @t1249)) % 18.94/19.17 (define @t5609 () (tptp.hAPP @t5580 @t1)) % 18.94/19.17 (define @t5610 () (tptp.c_List_Odistinct @t38)) % 18.94/19.17 (define @t5611 () (tptp.c_List_Omonoid__add__class_Olistsum @t38)) % 18.94/19.17 (define @t5612 () (tptp.hAPP @t5611 @t5568)) % 18.94/19.17 (define @t5613 () (tptp.c_Nitpick_Osetsum_H @t10 @t38 @t2 @t23)) % 18.94/19.17 (define @t5614 () (tptp.tc_List_Olist @t4536)) % 18.94/19.17 (define @t5615 () (tptp.c_List_Omap @t4536 @t4536)) % 18.94/19.17 (define @t5616 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t561)) % 18.94/19.17 (define @t5617 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t831)) % 18.94/19.17 (define @t5618 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1949)) % 18.94/19.17 (define @t5619 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1537)) % 18.94/19.17 (define @t5620 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1536)) % 18.94/19.17 (define @t5621 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.17 (define @t5622 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t97)) % 18.94/19.17 (define @t5623 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1615 @t97) @t1798))) % 18.94/19.17 (define @t5624 () (tptp.hAPP (tptp.c_List_Omap @t1321 @t10) @t4225)) % 18.94/19.17 (define @t5625 () (= @t4951 @t5203)) % 18.94/19.17 (define @t5626 () (@list @t4947 @t38 @t4950 @t10)) % 18.94/19.17 (define @t5627 () (tptp.hAPP (tptp.c_List_Omap @t1321 @t38) @t4224)) % 18.94/19.17 (define @t5628 () (tptp.hAPP @t5627 @t5071)) % 18.94/19.17 (define @t5629 () (tptp.hAPP @t5624 @t5071)) % 18.94/19.17 (define @t5630 () (tptp.hAPP @t5127 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5043 @t10) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t10)) @t4950))) % 18.94/19.17 (define @t5631 () (tptp.c_Random_Opick @t10 @t4950)) % 18.94/19.17 (define @t5632 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5043 tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t10)) @t4950))) % 18.94/19.17 (define @t5633 () (@list @t4950 @t10 @t207)) % 18.94/19.17 (define @t5634 () (@list @t4950 @t2 @t10)) % 18.94/19.17 (define @t5635 () (tptp.c_List_Oupto @t118 @t395)) % 18.94/19.17 (define @t5636 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t10) @t2)) % 18.94/19.17 (define @t5637 () (@list @t2608 @t4950 @t10)) % 18.94/19.17 (define @t5638 () (tptp.tc_prod @t10 @t4761)) % 18.94/19.17 (define @t5639 () (tptp.hAPP (tptp.c_COMBB @t10 (tptp.tc_fun @t4761 @t5638) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t10 @t4761))) % 18.94/19.17 (define @t5640 () (tptp.c_Product__Type_Oscomp @t4761 tptp.tc_Code__Numeral_Ocode__numeral @t4761 @t5638)) % 18.94/19.17 (define @t5641 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1791)) % 18.94/19.17 (define @t5642 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1537)) % 18.94/19.17 (define @t5643 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1536)) % 18.94/19.17 (define @t5644 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t47)) % 18.94/19.17 (define @t5645 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t561)) % 18.94/19.17 (define @t5646 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t831)) % 18.94/19.17 (define @t5647 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1767)) % 18.94/19.17 (define @t5648 () (tptp.hAPP (tptp.hAPP @t3912 @t1536) @t1537)) % 18.94/19.17 (define @t5649 () (tptp.class_Groups_Omonoid__add @t38)) % 18.94/19.17 (define @t5650 () (@var "V_xq_2" $$unsorted)) % 18.94/19.17 (define @t5651 () (@var "V_no_2" $$unsorted)) % 18.94/19.17 (define @t5652 () (tptp.hAPP @t5127 @t5651)) % 18.94/19.17 (define @t5653 () (@var "V_yes_2" $$unsorted)) % 18.94/19.17 (define @t5654 () (tptp.hAPP @t5127 @t5653)) % 18.94/19.17 (define @t5655 () (tptp.c_List_Opartition @t10 @t56 @t4950)) % 18.94/19.17 (define @t5656 () (= @t5655 (tptp.hAPP (tptp.hAPP @t4952 @t5653) @t5651))) % 18.94/19.17 (define @t5657 () (@list @t5651 @t5653 @t4950 @t56 @t10)) % 18.94/19.17 (define @t5658 () (tptp.c_List_Olistsp @t10 (tptp.hAPP (tptp.hAPP @t601 @t375) @t2161))) % 18.94/19.17 (define @t5659 () (tptp.hAPP @t5029 @t395)) % 18.94/19.17 (define @t5660 () (tptp.c_List_Olistsp @t10 @t23)) % 18.94/19.17 (define @t5661 () (tptp.hBOOL (tptp.hAPP @t5660 @t4950))) % 18.94/19.17 (define @t5662 () (tptp.c_List_Olistsp @t10 @t603)) % 18.94/19.17 (define @t5663 () (tptp.c_List_Olistsp @t10 @t22)) % 18.94/19.17 (define @t5664 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4967)) % 18.94/19.17 (define @t5665 () (tptp.tc_fun @t4550 @t4550)) % 18.94/19.17 (define @t5666 () (tptp.tc_fun @t4536 @t5665)) % 18.94/19.17 (define @t5667 () (@list @t4950 @t47 @t56 @t10)) % 18.94/19.17 (define @t5668 () (tptp.hBOOL (tptp.hAPP @t4238 @t3))) % 18.94/19.17 (define @t5669 () (tptp.hAPP @t3956 @t3)) % 18.94/19.17 (define @t5670 () (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t4950 @t4947)) % 18.94/19.17 (define @t5671 () (@list @t4947 @t4950 @t56 @t38 @t10)) % 18.94/19.17 (define @t5672 () (@var "V_bs_2" $$unsorted)) % 18.94/19.17 (define @t5673 () (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t219 @t216)) % 18.94/19.17 (define @t5674 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t56 (tptp.hAPP @t5091 @t1504)) (tptp.hAPP @t5206 @t1504)))) % 18.94/19.17 (define @t5675 () (tptp.hAPP @t1754 @t1504)) % 18.94/19.17 (define @t5676 () (@list @t1504 @t4947 @t4950 @t56 @t38 @t10)) % 18.94/19.17 (define @t5677 () (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t5266 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t38 @t4947) @t207) @t97))) % 18.94/19.17 (define @t5678 () (tptp.hAPP @t4945 @t219)) % 18.94/19.17 (define @t5679 () (= @t5678 (tptp.hAPP @t5202 @t216))) % 18.94/19.17 (define @t5680 () (tptp.c_List_Oremdups @t10 @t4950)) % 18.94/19.17 (define @t5681 () (tptp.c_List_Oremdups @t33 @t4957)) % 18.94/19.17 (define @t5682 () (= @t47 @t5309)) % 18.94/19.17 (define @t5683 () (tptp.c_List_Oremdups @t10 @t47)) % 18.94/19.17 (define @t5684 () (= @t5680 @t4950)) % 18.94/19.17 (define @t5685 () (tptp.hAPP @t4945 @t5680)) % 18.94/19.17 (define @t5686 () (tptp.c_List_Oremdups @t10 @t5025)) % 18.94/19.17 (define @t5687 () (@var "V_xss_2" $$unsorted)) % 18.94/19.17 (define @t5688 () (tptp.hAPP @t5155 @t5687)) % 18.94/19.17 (define @t5689 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4536 @t25)) % 18.94/19.17 (define @t5690 () (tptp.c_List_Oconcat @t10 @t5687)) % 18.94/19.17 (define @t5691 () (@list @t5687 @t10)) % 18.94/19.17 (define @t5692 () (tptp.c_List_Olinorder__class_Osort__key @t10 @t38 @t2 @t4950)) % 18.94/19.17 (define @t5693 () (tptp.c_List_Oconcat @t33 @t4957)) % 18.94/19.17 (define @t5694 () (= @t3 @t5309)) % 18.94/19.17 (define @t5695 () (tptp.hAPP @t5029 @t3)) % 18.94/19.17 (define @t5696 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5695 @t5688)) @t5694))) % 18.94/19.17 (define @t5697 () (tptp.hAPP (tptp.c_List_Omap @t5201 @t4536) @t5575)) % 18.94/19.17 (define @t5698 () (tptp.hAPP @t5697 @t4950)) % 18.94/19.17 (define @t5699 () (tptp.hAPP (tptp.c_List_Omap @t4536 tptp.tc_Nat_Onat) @t4945)) % 18.94/19.17 (define @t5700 () (tptp.hAPP @t5155 @t4950)) % 18.94/19.17 (define @t5701 () (tptp.c_List_Oconcat @t10 @t4950)) % 18.94/19.17 (define @t5702 () (tptp.c_List_Olinorder__class_Osort__key @t10 @t10 @t744 @t4950)) % 18.94/19.17 (define @t5703 () (= @t5701 (tptp.c_List_Oconcat @t10 @t4947))) % 18.94/19.17 (define @t5704 () (tptp.c_Nat_Osize__class_Osize @t5614)) % 18.94/19.17 (define @t5705 () (tptp.hAPP @t5704 @t4950)) % 18.94/19.17 (define @t5706 () (= @t5705 (tptp.hAPP @t5704 @t4947))) % 18.94/19.17 (define @t5707 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 @t3) (tptp.hAPP (tptp.c_List_Oset @t4550) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4536 @t4536) @t4950) @t4947)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4983 @t4974) @t3))))) % 18.94/19.17 (define @t5708 () (tptp.c_List_Omap @t38 @t4536)) % 18.94/19.17 (define @t5709 () (tptp.tc_fun @t4536 @t5614)) % 18.94/19.17 (define @t5710 () (tptp.c_List_Omap @t4536 @t5614)) % 18.94/19.17 (define @t5711 () (tptp.c_List_Olist_ONil @t4536)) % 18.94/19.17 (define @t5712 () (tptp.c_List_Olist_OCons @t4536)) % 18.94/19.17 (define @t5713 () (tptp.c_List_Oconcat @t4536 (tptp.hAPP (tptp.hAPP @t5710 (tptp.c_List_Olist_Olist__case @t5614 @t10 @t5711 (tptp.hAPP (tptp.c_COMBK @t5709 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4536 @t5614 @t5614) @t5712) @t5711)))) @t5687))) % 18.94/19.17 (define @t5714 () (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5615 (tptp.c_List_Olist_Olist__case @t4536 @t10 @t5309 (tptp.hAPP (tptp.hAPP @t5452 (tptp.c_COMBK @t4536 @t4536)) @t5350))) @t5687))) % 18.94/19.17 (define @t5715 () (tptp.hAPP (tptp.hAPP @t5712 @t5025) @t5687)) % 18.94/19.17 (define @t5716 () (= (tptp.c_List_Otranspose @t10 @t5715) (tptp.hAPP (tptp.hAPP @t5712 (tptp.hAPP @t5024 @t5714)) (tptp.c_List_Otranspose @t10 (tptp.hAPP (tptp.hAPP @t5712 @t4950) @t5713))))) % 18.94/19.17 (define @t5717 () (@list @t5687 @t4950 @t47 @t10)) % 18.94/19.17 (define @t5718 () (tptp.hAPP (tptp.hAPP @t4995 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4536 @t4536 tptp.tc_HOL_Obool) tptp.c_fequal) @t5309))) % 18.94/19.17 (define @t5719 () (tptp.c_List_Ofilter @t4536 @t5718)) % 18.94/19.17 (define @t5720 () (tptp.hAPP @t5719 @t5687)) % 18.94/19.17 (define @t5721 () (tptp.c_List_Omap @t4536 @t10)) % 18.94/19.17 (define @t5722 () (tptp.c_List_Ofilter @t10 @t1504)) % 18.94/19.17 (define @t5723 () (@list @t4950 @t1504 @t10)) % 18.94/19.17 (define @t5724 () (tptp.c_List_Ofilter @t10 @t56)) % 18.94/19.17 (define @t5725 () (tptp.hAPP @t5724 @t4950)) % 18.94/19.17 (define @t5726 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_HOL_Obool @t38 @t56) @t2)) % 18.94/19.17 (define @t5727 () (tptp.hAPP (tptp.c_List_Ofilter @t38 @t5726) @t4950)) % 18.94/19.17 (define @t5728 () (tptp.hAPP @t5724 @t5577)) % 18.94/19.17 (define @t5729 () (@list @t4950 @t2 @t38 @t56 @t10)) % 18.94/19.17 (define @t5730 () (not @t59)) % 18.94/19.17 (define @t5731 () (@list @t4950 @t56 @t10)) % 18.94/19.17 (define @t5732 () (tptp.hAPP @t4945 @t5725)) % 18.94/19.17 (define @t5733 () (tptp.hAPP @t5127 @t5725)) % 18.94/19.17 (define @t5734 () (tptp.c_List_Ofilter @t10 @t53)) % 18.94/19.17 (define @t5735 () (tptp.hAPP @t5734 @t4950)) % 18.94/19.17 (define @t5736 () (@list @t4950 @t10 @t47 @t56)) % 18.94/19.17 (define @t5737 () (tptp.hAPP @t5724 @t5025)) % 18.94/19.17 (define @t5738 () (tptp.hAPP @t5724 @t4947)) % 18.94/19.17 (define @t5739 () (@list @t4947 @t4950 @t56 @t10)) % 18.94/19.17 (define @t5740 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t10 tptp.c_fNot)) % 18.94/19.17 (define @t5741 () (@var "V_xss" $$unsorted)) % 18.94/19.17 (define @t5742 () (tptp.c_List_Ofilter @t4536 (tptp.hAPP (tptp.hAPP @t4970 @t1927) @t4945))) % 18.94/19.17 (define @t5743 () (tptp.hAPP @t5742 @t4950)) % 18.94/19.17 (define @t5744 () (tptp.hAPP @t5721 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4536 tptp.tc_Nat_Onat @t10) @t5089) @t207))) % 18.94/19.17 (define @t5745 () (tptp.c_List_Otranspose @t10 @t4950)) % 18.94/19.17 (define @t5746 () (tptp.c_List_Onth @t4536)) % 18.94/19.17 (define @t5747 () (tptp.hAPP (tptp.hAPP @t5746 @t5745) @t207)) % 18.94/19.17 (define @t5748 () (tptp.hAPP @t5704 @t5745)) % 18.94/19.17 (define @t5749 () (tptp.hBOOL (tptp.hAPP @t1927 @t5748))) % 18.94/19.17 (define @t5750 () (@list @t97 @t4950 @t10)) % 18.94/19.17 (define @t5751 () (tptp.c_List_Osublist @t10 @t4950 @t2608)) % 18.94/19.17 (define @t5752 () (tptp.c_Wellfounded_Oaccp @t5614 (tptp.c_List_Otranspose__rel @t10))) % 18.94/19.17 (define @t5753 () (tptp.hAPP (tptp.hAPP @t5712 @t5309) @t5687)) % 18.94/19.17 (define @t5754 () (@var "V_is_2" $$unsorted)) % 18.94/19.17 (define @t5755 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 18.94/19.17 (define @t5756 () (tptp.hAPP (tptp.c_List_Ozip @t10 tptp.tc_Nat_Onat) @t4950)) % 18.94/19.17 (define @t5757 () (tptp.c_Product__Type_Osnd @t10 tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5758 () (tptp.tc_prod @t10 tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5759 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t5758) @t56)) % 18.94/19.17 (define @t5760 () (tptp.hAPP (tptp.c_List_Omap @t5758 @t10) (tptp.c_Product__Type_Ofst @t10 tptp.tc_Nat_Onat))) % 18.94/19.17 (define @t5761 () (tptp.hAPP (tptp.c_List_Ofilter @t5043 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral @t10 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t25 tptp.tc_Code__Numeral_Ocode__numeral) @t2821) @t4762))) @t4950)) % 18.94/19.17 (define @t5762 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2692 @t4536) @t2992) @t4945)) % 18.94/19.17 (define @t5763 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2692 @t5201)) % 18.94/19.17 (define @t5764 () (tptp.hAPP @t5763 @t2992)) % 18.94/19.17 (define @t5765 () (tptp.c_List_Ofoldr @t38 @t10 @t2 @t4950 @t219)) % 18.94/19.17 (define @t5766 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1594 @t219) @t4950)) % 18.94/19.17 (define @t5767 () (tptp.c_List_Ofoldr @t10 @t10 @t1594 @t4950 @t1939)) % 18.94/19.17 (define @t5768 () (@list @t4950 @t219 @t10)) % 18.94/19.17 (define @t5769 () (tptp.c_List_Oupt @t1949 @t4951)) % 18.94/19.17 (define @t5770 () (tptp.hAPP @t5756 @t5769)) % 18.94/19.17 (define @t5771 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2794 @t5758) @t1615)) % 18.94/19.17 (define @t5772 () (tptp.c_COMBC @t5758 @t1650 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t5773 () (tptp.c_List_Ofilter @t5758 (tptp.hAPP (tptp.hAPP @t5772 (tptp.hAPP @t5771 @t5757)) @t23))) % 18.94/19.17 (define @t5774 () (tptp.c_List_Oupt @t207 @t1135)) % 18.94/19.17 (define @t5775 () (tptp.hAPP @t5218 @t5774)) % 18.94/19.17 (define @t5776 () (tptp.c_List_Oupt @t1767 @t1766)) % 18.94/19.17 (define @t5777 () (tptp.c_List_Oappend tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5778 () (tptp.hAPP @t5777 @t5776)) % 18.94/19.17 (define @t5779 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5780 () (tptp.c_List_Oupt @t1767 @t2560)) % 18.94/19.17 (define @t5781 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5782 () (=> @t1782 (= @t5780 (tptp.hAPP @t5778 (tptp.hAPP (tptp.hAPP @t5781 @t1766) @t5779))))) % 18.94/19.17 (define @t5783 () (= @t5776 @t5779)) % 18.94/19.17 (define @t5784 () (=> @t1874 (= @t5776 (tptp.hAPP (tptp.hAPP @t5781 @t1767) (tptp.c_List_Oupt @t2485 @t1766))))) % 18.94/19.17 (define @t5785 () (tptp.c_List_Oupt @t561 @t831)) % 18.94/19.17 (define @t5786 () (tptp.hAPP @t3541 @t1536)) % 18.94/19.17 (define @t5787 () (tptp.hAPP @t3541 @t1537)) % 18.94/19.17 (define @t5788 () (tptp.c_List_Oupt @t5787 @t5786)) % 18.94/19.17 (define @t5789 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t5787) @t5786))) % 18.94/19.17 (define @t5790 () (tptp.c_List_Oupt @t1949 @t831)) % 18.94/19.17 (define @t5791 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t10)) % 18.94/19.17 (define @t5792 () (tptp.hAPP (tptp.hAPP @t5791 @t2) @t5785)) % 18.94/19.17 (define @t5793 () (tptp.hAPP @t5215 @t5792)) % 18.94/19.17 (define @t5794 () (tptp.hAPP @t1506 (tptp.hAPP @t5218 @t5785))) % 18.94/19.17 (define @t5795 () (tptp.hAPP @t5746 @t4950)) % 18.94/19.17 (define @t5796 () (= @t4950 @t5711)) % 18.94/19.17 (define @t5797 () (tptp.c_List_Oremove1 @t10 @t219 @t4950)) % 18.94/19.17 (define @t5798 () (tptp.c_List_Olinorder__class_Osorted @t38 @t5568)) % 18.94/19.17 (define @t5799 () (tptp.c_List_Olinorder__class_Osorted @t10 @t4950)) % 18.94/19.17 (define @t5800 () (tptp.c_List_Olinorder__class_Osorted @t33 @t4957)) % 18.94/19.17 (define @t5801 () (tptp.hAPP @t5255 @t5301)) % 18.94/19.17 (define @t5802 () (tptp.hAPP @t5022 @t5071)) % 18.94/19.17 (define @t5803 () (=> (= @t5141 @t5406) @t5061)) % 18.94/19.17 (define @t5804 () (tptp.c_List_Olinorder__class_Osorted @t10 @t4947)) % 18.94/19.17 (define @t5805 () (tptp.c_List_Olinorder__class_Osorted @t10 @t5577)) % 18.94/19.17 (define @t5806 () (@list @t47 @t4950 @t2 @t38 @t10)) % 18.94/19.17 (define @t5807 () (@list @t4950 @t47 @t2 @t38 @t10)) % 18.94/19.17 (define @t5808 () (tptp.c_List_Ofilter @t38 @t56)) % 18.94/19.17 (define @t5809 () (tptp.hAPP @t5808 @t4950)) % 18.94/19.17 (define @t5810 () (tptp.hAPP @t1 @t4950)) % 18.94/19.17 (define @t5811 () (forall @t7 (=> @t5164 @t1472))) % 18.94/19.17 (define @t5812 () (tptp.c_List_Olinorder__class_Osorted @t10 @t5025)) % 18.94/19.17 (define @t5813 () (tptp.hBOOL (tptp.hAPP @t1896 @t4962))) % 18.94/19.17 (define @t5814 () (@list @t1766 @t1767 @t4957 @t33)) % 18.94/19.17 (define @t5815 () (tptp.hBOOL (tptp.hAPP @t2715 @t2517))) % 18.94/19.17 (define @t5816 () (tptp.hAPP @t5795 @t207)) % 18.94/19.17 (define @t5817 () (tptp.hAPP @t5742 @t5745)) % 18.94/19.17 (define @t5818 () (tptp.hBOOL (tptp.hAPP @t1927 @t5705))) % 18.94/19.17 (define @t5819 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5820 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5819 (tptp.hAPP @t5699 @t4950)))) % 18.94/19.17 (define @t5821 () (@list @t207 @t4950 @t10)) % 18.94/19.17 (define @t5822 () (tptp.c_List_Orev @t10)) % 18.94/19.17 (define @t5823 () (tptp.hAPP @t5822 @t4950)) % 18.94/19.17 (define @t5824 () (tptp.c_List_Orev @t33)) % 18.94/19.17 (define @t5825 () (= @t4950 @t5339)) % 18.94/19.17 (define @t5826 () (tptp.hAPP @t5824 @t4957)) % 18.94/19.17 (define @t5827 () (tptp.c_List_Orev @t38)) % 18.94/19.17 (define @t5828 () (tptp.hAPP @t5827 @t4950)) % 18.94/19.17 (define @t5829 () (tptp.hAPP @t5822 @t5577)) % 18.94/19.17 (define @t5830 () (tptp.hAPP @t5822 @t4947)) % 18.94/19.17 (define @t5831 () (tptp.hAPP @t5827 @t4947)) % 18.94/19.17 (define @t5832 () (tptp.hAPP @t5238 @t1767)) % 18.94/19.17 (define @t5833 () (@list @t4957 @t1767 @t33)) % 18.94/19.17 (define @t5834 () (tptp.c_List_Ofoldr @t10 @t10 @t2939 @t4950 @t97)) % 18.94/19.17 (define @t5835 () (tptp.c_List_OtakeWhile @t10 @t56 @t4950)) % 18.94/19.17 (define @t5836 () (tptp.hAPP @t4945 @t5835)) % 18.94/19.17 (define @t5837 () (tptp.c_List_OtakeWhile @t10 @t56 @t5025)) % 18.94/19.17 (define @t5838 () (tptp.c_List_OtakeWhile @t10 @t56 @t5399)) % 18.94/19.17 (define @t5839 () (@list @t4947 @t56 @t4950 @t47 @t10)) % 18.94/19.17 (define @t5840 () (@list @t4950 @t56 @t10 @t1135)) % 18.94/19.17 (define @t5841 () (tptp.c_COMBB @t10 tptp.tc_HOL_Obool @t38)) % 18.94/19.17 (define @t5842 () (tptp.hAPP (tptp.hAPP @t5841 (tptp.hAPP @t967 @t909)) @t2)) % 18.94/19.17 (define @t5843 () (tptp.hAPP @t1188 @t4730)) % 18.94/19.17 (define @t5844 () (tptp.c_List_OdropWhile @t10 @t56 @t4950)) % 18.94/19.17 (define @t5845 () (tptp.hAPP @t5379 @t5835)) % 18.94/19.17 (define @t5846 () (= @t5844 @t5309)) % 18.94/19.17 (define @t5847 () (tptp.hAPP @t4945 @t5844)) % 18.94/19.17 (define @t5848 () (tptp.c_List_OdropWhile @t10 @t56 @t5025)) % 18.94/19.17 (define @t5849 () (tptp.c_List_OdropWhile @t10 @t56 @t5399)) % 18.94/19.17 (define @t5850 () (tptp.hBOOL (tptp.hAPP @t56 @t5172))) % 18.94/19.17 (define @t5851 () (@list @t56 @t4950 @t10 @t831)) % 18.94/19.17 (define @t5852 () (tptp.c_List_OremoveAll @t10 @t47)) % 18.94/19.17 (define @t5853 () (tptp.hAPP @t5852 @t4950)) % 18.94/19.17 (define @t5854 () (= (tptp.hAPP @t5565 @t5853) (tptp.hAPP (tptp.c_List_OremoveAll @t38 @t49) @t5568))) % 18.94/19.17 (define @t5855 () (tptp.c_List_Oinsert @t10 @t47 @t4950)) % 18.94/19.17 (define @t5856 () (=> @t5152 (= @t5855 @t5025))) % 18.94/19.17 (define @t5857 () (tptp.c_List_OremoveAll @t33 @t32)) % 18.94/19.17 (define @t5858 () (tptp.hAPP @t5857 @t4957)) % 18.94/19.17 (define @t5859 () (tptp.c_List_Oinsert @t33 @t32 @t4957)) % 18.94/19.17 (define @t5860 () (tptp.hAPP @t5857 @t5256)) % 18.94/19.17 (define @t5861 () (=> @t5146 (= @t5855 @t4950))) % 18.94/19.17 (define @t5862 () (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5708 @t2) @t4950))) % 18.94/19.17 (define @t5863 () (tptp.c_List_Omaps @t38 @t10 @t2 @t4950)) % 18.94/19.17 (define @t5864 () (@var "B_zs" $$unsorted)) % 18.94/19.17 (define @t5865 () (tptp.hAPP @t5127 @t5864)) % 18.94/19.17 (define @t5866 () (tptp.hAPP @t5127 @t5081)) % 18.94/19.17 (define @t5867 () (@list @t5864)) % 18.94/19.17 (define @t5868 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5029 @t5081) @t5700))) % 18.94/19.17 (define @t5869 () (@list @t5081)) % 18.94/19.17 (define @t5870 () (@var "V_fs_2" $$unsorted)) % 18.94/19.17 (define @t5871 () (tptp.tc_fun @t10 tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5872 () (tptp.hBOOL (tptp.hAPP @t4219 (tptp.c_List_Omeasures @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5871) @t2) @t5870))))) % 18.94/19.17 (define @t5873 () (tptp.c_List_Omeasures @t10 @t5870)) % 18.94/19.17 (define @t5874 () (tptp.hBOOL (tptp.hAPP @t4219 @t5873))) % 18.94/19.17 (define @t5875 () (@list @t5870 @t10 @t97 @t47 @t2)) % 18.94/19.17 (define @t5876 () (@list @t5870 @t10)) % 18.94/19.17 (define @t5877 () (tptp.tc_List_Olist @t5871)) % 18.94/19.17 (define @t5878 () (tptp.hAPP (tptp.hAPP @t5594 @t5204) @t4947)) % 18.94/19.17 (define @t5879 () (tptp.hAPP (tptp.hAPP @t5110 @t5204) @t4950)) % 18.94/19.17 (define @t5880 () (@var "V_seed_2" $$unsorted)) % 18.94/19.17 (define @t5881 () (@var "V_size_2" $$unsorted)) % 18.94/19.17 (define @t5882 () (@var "V_nrandom_2" $$unsorted)) % 18.94/19.17 (define @t5883 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t361 @t5882) @t5881) @t5880)) % 18.94/19.17 (define @t5884 () (@list @t4947 @t56 @t4950 @t10)) % 18.94/19.17 (define @t5885 () (exists @t5450 (and (= @t4947 (tptp.hAPP @t5405 (tptp.hAPP @t5024 @t5449))) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t317 (tptp.hAPP @t5127 @t5404))) @t2818)) @t59 (= @t4950 (tptp.hAPP @t5724 @t5449))))) % 18.94/19.17 (define @t5886 () (tptp.hBOOL (tptp.hAPP @t56 @t5092))) % 18.94/19.17 (define @t5887 () (tptp.c_List_Olist__ex @t10 @t56 @t4950)) % 18.94/19.17 (define @t5888 () (= @t4950 (tptp.hAPP (tptp.hAPP @t5379 @t5081) (tptp.hAPP @t5024 @t5864)))) % 18.94/19.17 (define @t5889 () (@list @t5081 @t5864)) % 18.94/19.17 (define @t5890 () (exists @t7 (and @t5164 @t314))) % 18.94/19.17 (define @t5891 () (tptp.c_List_Olist__all @t10 @t56 @t4950)) % 18.94/19.17 (define @t5892 () (tptp.c_List_Olist__ex1 @t10 @t56 @t4950)) % 18.94/19.17 (define @t5893 () (tptp.c_FunDef_Ois__measure @t10 @t2)) % 18.94/19.17 (define @t5894 () (@list @t38 @t2 @t10)) % 18.94/19.17 (define @t5895 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t1332)) % 18.94/19.17 (define @t5896 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 tptp.tc_Code__Numeral_Ocode__numeral @t5895) @t2) @t207)) % 18.94/19.17 (define @t5897 () (tptp.hAPP @t47 (tptp.hAPP (tptp.hAPP @t3912 @t207) @t3911))) % 18.94/19.17 (define @t5898 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t38 @t10 @t47 @t2) @t207)) % 18.94/19.17 (define @t5899 () (= @t207 @t3897)) % 18.94/19.17 (define @t5900 () (not @t5899)) % 18.94/19.17 (define @t5901 () (@list @t2 @t47 @t10 @t38 @t207)) % 18.94/19.17 (define @t5902 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t5903 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5895)) % 18.94/19.17 (define @t5904 () (tptp.tc_fun @t4761 @t5903)) % 18.94/19.17 (define @t5905 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5904)) % 18.94/19.17 (define @t5906 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 @t4761 @t5903) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 tptp.tc_Code__Numeral_Ocode__numeral @t5904) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 tptp.tc_Code__Numeral_Ocode__numeral @t5905) @t2) @t5882)) @t5881)) @t5880)) % 18.94/19.17 (define @t5907 () (@list @t5880 @t5881 @t5882 @t2 @t361 @t10 @t38)) % 18.94/19.17 (define @t5908 () (tptp.hAPP @t47 @t207)) % 18.94/19.17 (define @t5909 () (@list @t207 @t2 @t47 @t10 @t38)) % 18.94/19.17 (define @t5910 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t10)) % 18.94/19.17 (define @t5911 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 tptp.tc_Code__Numeral_Ocode__numeral @t5910) @t2) @t207)) % 18.94/19.17 (define @t5912 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t38 @t10 @t47 @t2) @t207)) % 18.94/19.17 (define @t5913 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5910)) % 18.94/19.17 (define @t5914 () (tptp.tc_fun @t4761 @t5913)) % 18.94/19.17 (define @t5915 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5914)) % 18.94/19.17 (define @t5916 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 @t4761 @t5913) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 tptp.tc_Code__Numeral_Ocode__numeral @t5914) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 tptp.tc_Code__Numeral_Ocode__numeral @t5915) @t2) @t5882)) @t5881)) @t5880)) % 18.94/19.17 (define @t5917 () (@var "V_i_1" $$unsorted)) % 18.94/19.17 (define @t5918 () (tptp.c_New__Random__Sequence_Oneg__single @t10)) % 18.94/19.17 (define @t5919 () (@list @t56 @t2 @t10 @t38)) % 18.94/19.17 (define @t5920 () (@list @t5880 @t5881 @t5882 @t47 @t10)) % 18.94/19.17 (define @t5921 () (tptp.c_New__Random__Sequence_Opos__single @t10)) % 18.94/19.17 (define @t5922 () (@list @t5917 @t32 @t33)) % 18.94/19.17 (define @t5923 () (tptp.c_List_Osplice @t33 @t4957 @t4956)) % 18.94/19.17 (define @t5924 () (@var "V_va" $$unsorted)) % 18.94/19.17 (define @t5925 () (tptp.hAPP (tptp.hAPP @t5009 @t2151) @t5924)) % 18.94/19.17 (define @t5926 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t1321)) % 18.94/19.17 (define @t5927 () (tptp.tc_fun @t38 @t5926)) % 18.94/19.17 (define @t5928 () (@var "V_s2_2" $$unsorted)) % 18.94/19.17 (define @t5929 () (@var "V_s1_2" $$unsorted)) % 18.94/19.17 (define @t5930 () (tptp.c_Hilbert__Choice_Oinv__into @t10 @t38 @t600 @t2)) % 18.94/19.17 (define @t5931 () (tptp.c_Hilbert__Choice_Oinv__into @t10 @t38 @t23 @t2)) % 18.94/19.17 (define @t5932 () (tptp.hAPP @t5931 @t97)) % 18.94/19.17 (define @t5933 () (tptp.hAPP @t5930 @t97)) % 18.94/19.17 (define @t5934 () (tptp.hAPP @t5931 @t47)) % 18.94/19.17 (define @t5935 () (tptp.c_Hilbert__Choice_Oinv__into @t38 @t10 @t23 @t2)) % 18.94/19.17 (define @t5936 () (tptp.c_Hilbert__Choice_Oinv__into @t38 @t10 @t612 @t2)) % 18.94/19.17 (define @t5937 () (tptp.c_Set_Oimage @t38 @t10 @t5930)) % 18.94/19.17 (define @t5938 () (= (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t10 @t10 @t5930) @t2) @t4662)) % 18.94/19.17 (define @t5939 () (tptp.c_Lazy__Sequence_Osingle @t4536)) % 18.94/19.17 (define @t5940 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t4536)) % 18.94/19.17 (define @t5941 () (tptp.hAPP (tptp.hAPP @t2211 @t215) @t2205)) % 18.94/19.17 (define @t5942 () (tptp.class_Lazy__Sequence_Osmall__lazy @t10)) % 18.94/19.17 (define @t5943 () (@var "V_yq_2" $$unsorted)) % 18.94/19.17 (define @t5944 () (tptp.hAPP @t5650 @t207)) % 18.94/19.17 (define @t5945 () (tptp.c_Predicate_Oconversep @t38 @t10 @t2608)) % 18.94/19.17 (define @t5946 () (tptp.c_Predicate_Oconversep @t38 @t10 @t124)) % 18.94/19.17 (define @t5947 () (tptp.c_Predicate_Oconversep @t10 @t38 @t124)) % 18.94/19.17 (define @t5948 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t216) @t219))) % 18.94/19.17 (define @t5949 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5947 @t219) @t216))) % 18.94/19.17 (define @t5950 () (@list @t216 @t219 @t124 @t38 @t10)) % 18.94/19.17 (define @t5951 () (tptp.c_Lazy__Sequence_Osingle tptp.tc_Int_Oint)) % 18.94/19.17 (define @t5952 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t504 @t1767)) % 18.94/19.17 (define @t5953 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t504) @t1767))) % 18.94/19.17 (define @t5954 () (tptp.c_Lazy__Sequence_Oempty tptp.tc_Int_Oint)) % 18.94/19.17 (define @t5955 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t215 @t207)) % 18.94/19.17 (define @t5956 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t215) @t207))) % 18.94/19.17 (define @t5957 () (tptp.c_Wellfounded_Oaccp @t3926 tptp.c_Lazy__Sequence_Osmall__lazy_H__rel)) % 18.94/19.17 (define @t5958 () (tptp.c_List_Oreplicate @t33 @t1536 @t32)) % 18.94/19.17 (define @t5959 () (@list @t32 @t33 @t1536)) % 18.94/19.17 (define @t5960 () (tptp.c_List_Oreplicate @t10 @t831 @t47)) % 18.94/19.17 (define @t5961 () (@list @t47 @t831 @t10)) % 18.94/19.17 (define @t5962 () (tptp.hAPP @t5724 @t5960)) % 18.94/19.17 (define @t5963 () (tptp.c_List_Oreplicate @t33 @t1791 @t32)) % 18.94/19.17 (define @t5964 () (tptp.hAPP @t5392 @t5958)) % 18.94/19.17 (define @t5965 () (tptp.c_List_Oreplicate @t10 @t831 @t97)) % 18.94/19.17 (define @t5966 () (tptp.hBOOL (tptp.hAPP @t317 (tptp.hAPP @t5127 (tptp.c_List_Oreplicate @t10 @t831 @t219))))) % 18.94/19.17 (define @t5967 () (@list @t56 @t219 @t831 @t10)) % 18.94/19.17 (define @t5968 () (tptp.hAPP @t2994 @t1767)) % 18.94/19.17 (define @t5969 () (tptp.c_List_Oreplicate @t33 @t1767 @t32)) % 18.94/19.17 (define @t5970 () (@list @t32 @t1791 @t1767 @t33)) % 18.94/19.17 (define @t5971 () (@list @t32 @t1536 @t33)) % 18.94/19.17 (define @t5972 () (@var "V_lst_2" $$unsorted)) % 18.94/19.17 (define @t5973 () (tptp.hAPP (tptp.c_List_Ofilter @t10 @t1194) @t4950)) % 18.94/19.17 (define @t5974 () (tptp.hAPP @t5127 @t5960)) % 18.94/19.17 (define @t5975 () (=> @t1988 (= @t5974 @t873))) % 18.94/19.17 (define @t5976 () (@list @t47 @t10 @t831)) % 18.94/19.17 (define @t5977 () (@var "B_e" $$unsorted)) % 18.94/19.17 (define @t5978 () (@var "V_lazy__sequence" $$unsorted)) % 18.94/19.17 (define @t5979 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t33)) % 18.94/19.17 (define @t5980 () (tptp.c_Nat_Osize__class_Osize @t5979)) % 18.94/19.17 (define @t5981 () (@var "V_yq" $$unsorted)) % 18.94/19.17 (define @t5982 () (@var "V_xq" $$unsorted)) % 18.94/19.17 (define @t5983 () (@var "V_lazy__sequence_H_2" $$unsorted)) % 18.94/19.17 (define @t5984 () (@var "V_lazy__sequence_2" $$unsorted)) % 18.94/19.17 (define @t5985 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t219 @t5984)) % 18.94/19.17 (define @t5986 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t10 @t1386)) % 18.94/19.17 (define @t5987 () (tptp.c_Lazy__Sequence_Oyield @t10)) % 18.94/19.17 (define @t5988 () (tptp.hAPP @t5987 @t5650)) % 18.94/19.17 (define @t5989 () (tptp.c_Nat_Osize__class_Osize @t5910)) % 18.94/19.17 (define @t5990 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2692 @t5910) @t1596)) % 18.94/19.17 (define @t5991 () (tptp.c_COMBC @t5910 tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5992 () (tptp.tc_fun @t5910 tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5993 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t5910 tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t5994 () (tptp.tc_prod @t10 @t5910)) % 18.94/19.17 (define @t5995 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t10 @t2608)) % 18.94/19.17 (define @t5996 () (tptp.tc_fun @t5910 @t2692)) % 18.94/19.17 (define @t5997 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t38)) % 18.94/19.17 (define @t5998 () (tptp.hAPP @t5363 @t5984)) % 18.94/19.17 (define @t5999 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t38 @t219 @t5984)) % 18.94/19.17 (define @t6000 () (@list @t5984 @t219 @t2781 @t2780 @t38 @t10)) % 18.94/19.17 (define @t6001 () (forall @t7 (=> @t739 (tptp.c_Relation_Orefl__on @t38 @t177 @t4206)))) % 18.94/19.17 (define @t6002 () (@list @t124 @t23 @t38 @t348 @t10)) % 18.94/19.17 (define @t6003 () (tptp.c_List_Omember @t10)) % 18.94/19.17 (define @t6004 () (tptp.hAPP @t6003 @t4950)) % 18.94/19.17 (define @t6005 () (tptp.hBOOL (tptp.hAPP @t6004 @t47))) % 18.94/19.17 (define @t6006 () (@var "V_fb_2" $$unsorted)) % 18.94/19.17 (define @t6007 () (tptp.c_Nitpick_Opair__box_OPairBox @t10 @t38 @t219 @t216)) % 18.94/19.17 (define @t6008 () (tptp.c_Nitpick_Opair__box_OPairBox @t38 @t150 @t219 @t216)) % 18.94/19.17 (define @t6009 () (tptp.c_FunDef_OTHE__default @t10 @t215 @t56)) % 18.94/19.17 (define @t6010 () (exists @t7 (and @t314 (forall @t199 (=> @t198 @t1105))))) % 18.94/19.17 (define @t6011 () (@var "B_T2" $$unsorted)) % 18.94/19.17 (define @t6012 () (@var "B_T1" $$unsorted)) % 18.94/19.17 (define @t6013 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t33)) % 18.94/19.17 (define @t6014 () (@var "V_lazy__sequence_H" $$unsorted)) % 18.94/19.17 (define @t6015 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t33 @t3338 @t6014)) % 18.94/19.17 (define @t6016 () (@list @t6014 @t3338 @t33)) % 18.94/19.17 (define @t6017 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t38)) % 18.94/19.17 (define @t6018 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t10)) % 18.94/19.17 (define @t6019 () (tptp.c_List_Oall__interval__int @t56 @t207 @t1135)) % 18.94/19.17 (define @t6020 () (@list @t1135 @t207 @t56)) % 18.94/19.17 (define @t6021 () (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm)) % 18.94/19.17 (define @t6022 () (tptp.c_DSequence_Osingle @t10)) % 18.94/19.17 (define @t6023 () (tptp.tc_prod @t10 @t6021)) % 18.94/19.17 (define @t6024 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption @t5910)))) % 18.94/19.17 (define @t6025 () (tptp.tc_fun @t6024 @t6024)) % 18.94/19.17 (define @t6026 () (tptp.c_Product__Type_OPair @t6024 @t4761)) % 18.94/19.17 (define @t6027 () (tptp.tc_prod @t6024 @t4761)) % 18.94/19.17 (define @t6028 () (tptp.tc_fun @t4761 @t6027)) % 18.94/19.17 (define @t6029 () (tptp.tc_fun @t6024 @t6028)) % 18.94/19.17 (define @t6030 () (tptp.c_Random__Sequence_ORandom @t10 @t1 @t5882 @t5881)) % 18.94/19.17 (define @t6031 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4754 @t5882) @t3897))) % 18.94/19.17 (define @t6032 () (tptp.hAPP @t6026 (tptp.c_DSequence_Oempty @t10))) % 18.94/19.17 (define @t6033 () (tptp.c_Random__Sequence_Osingle @t10)) % 18.94/19.17 (define @t6034 () (tptp.hAPP @t2844 (tptp.hAPP @t2843 @t4718))) % 18.94/19.17 (define @t6035 () (tptp.c_Relation_Otrans @t10 @t124)) % 18.94/19.17 (define @t6036 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4735 @t2859)) @t124))) % 18.94/19.17 (define @t6037 () (tptp.hAPP @t2864 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 tptp.tc_HOL_Obool @t25) @t4553) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 @t111 @t25) @t6034) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t25 @t300 @t111) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t109 @t4721 @t25) @t2895) tptp.c_fequal)) @t22))))) % 18.94/19.17 (define @t6038 () (tptp.tc_fun @t161 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t6039 () (tptp.tc_fun @t161 @t10)) % 18.94/19.17 (define @t6040 () (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6038 tptp.tc_HOL_Obool @t10) (tptp.c_HOL_OEx @t161)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6038 @t6038 @t10) (tptp.hAPP (tptp.c_COMBS @t161 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1170 @t161) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t161 @t6038 tptp.tc_HOL_Obool) (tptp.c_member @t161)) @t23)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t6039 @t6038) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 (tptp.tc_fun @t6039 @t6038) @t10) (tptp.c_COMBB @t10 tptp.tc_HOL_Obool @t161)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t161 @t38 @t10) (tptp.c_COMBI @t161)) @t47)))))) % 18.94/19.17 (define @t6041 () (tptp.c_Predicate_Otransp @t10 @t124)) % 18.94/19.17 (define @t6042 () (tptp.hAPP @t124 @t97)) % 18.94/19.17 (define @t6043 () (tptp.c_Predicate_Otransp @t10 @t361)) % 18.94/19.17 (define @t6044 () (tptp.c_Predicate_Osymp @t10 @t361)) % 18.94/19.17 (define @t6045 () (=> @t6044 (not @t6043))) % 18.94/19.17 (define @t6046 () (tptp.c_Predicate_Oreflp @t10 @t361)) % 18.94/19.17 (define @t6047 () (tptp.c_Predicate_Osymp @t10 @t124)) % 18.94/19.17 (define @t6048 () (tptp.c_Relation_Oantisym @t10 @t124)) % 18.94/19.17 (define @t6049 () (tptp.hBOOL (tptp.hAPP @t4816 @t124))) % 18.94/19.17 (define @t6050 () (@list @t216 @t219 @t124 @t10)) % 18.94/19.17 (define @t6051 () (tptp.tc_fun @t1091 tptp.tc_HOL_Obool)) % 18.94/19.17 (define @t6052 () (tptp.tc_fun @t1091 @t38)) % 18.94/19.17 (define @t6053 () (@var "V_L_2" $$unsorted)) % 18.94/19.17 (define @t6054 () (tptp.c_Relation_Osym @t10 @t124)) % 18.94/19.17 (define @t6055 () (tptp.c_Relation_Osym @t10 @t2608)) % 18.94/19.17 (define @t6056 () (tptp.c_Equiv__Relations_Opart__equivp @t10 @t361)) % 18.94/19.17 (define @t6057 () (tptp.hBOOL (tptp.hAPP @t4353 @t3))) % 18.94/19.17 (define @t6058 () (exists @t7 @t6057)) % 18.94/19.17 (define @t6059 () (tptp.hAPP @t1454 @t4661)) % 18.94/19.17 (define @t6060 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t3)) % 18.94/19.17 (define @t6061 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1615 @t195) @t1798))) % 18.94/19.17 (define @t6062 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t195)) % 18.94/19.17 (define @t6063 () (tptp.c_Quickcheck_Obeyond @t1791 @t1868)) % 18.94/19.17 (define @t6064 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t10 @t38 tptp.tc_HOL_Obool @t2) @t219) @t216))) % 18.94/19.17 (define @t6065 () (tptp.hBOOL (tptp.hAPP @t2 @t3985))) % 18.94/19.17 (define @t6066 () (tptp.c_Quotient_ORespects @t10 @t361)) % 18.94/19.17 (define @t6067 () (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t317 @t6066)) @t314))) % 18.94/19.17 (define @t6068 () (tptp.c_Transitive__Closure_Ortrancl @t1321 @t124)) % 18.94/19.17 (define @t6069 () (@var "V_zb_2" $$unsorted)) % 18.94/19.17 (define @t6070 () (@var "V_za_2" $$unsorted)) % 18.94/19.17 (define @t6071 () (tptp.hAPP (tptp.hAPP @t3953 @t6070) @t6069)) % 18.94/19.17 (define @t6072 () (tptp.hAPP @t4344 @t4069)) % 18.94/19.17 (define @t6073 () (@var "V_xb_2" $$unsorted)) % 18.94/19.17 (define @t6074 () (tptp.hAPP (tptp.hAPP @t3953 @t4430) @t6073)) % 18.94/19.17 (define @t6075 () (tptp.hAPP @t4344 @t6074)) % 18.94/19.17 (define @t6076 () (@var "V_ay_2" $$unsorted)) % 18.94/19.17 (define @t6077 () (@var "V_ax_2" $$unsorted)) % 18.94/19.17 (define @t6078 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t56 @t6077) @t6076))) % 18.94/19.17 (define @t6079 () (@var "B_ba" $$unsorted)) % 18.94/19.17 (define @t6080 () (@var "B_aa" $$unsorted)) % 18.94/19.17 (define @t6081 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t56 @t6080) @t6079))) % 18.94/19.17 (define @t6082 () (@var "V_by_2" $$unsorted)) % 18.94/19.17 (define @t6083 () (@var "V_bx_2" $$unsorted)) % 18.94/19.17 (define @t6084 () (tptp.hAPP (tptp.hAPP @t3953 @t6083) @t6082)) % 18.94/19.17 (define @t6085 () (tptp.hAPP (tptp.hAPP @t3953 @t6080) @t6079)) % 18.94/19.17 (define @t6086 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4345 (tptp.hAPP @t6072 @t6085)) @t124))) % 18.94/19.17 (define @t6087 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t56 @t6083) @t6082))) % 18.94/19.17 (define @t6088 () (tptp.hAPP @t4344 (tptp.hAPP (tptp.hAPP @t3953 @t6077) @t6076))) % 18.94/19.17 (define @t6089 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4345 (tptp.hAPP @t6088 @t6084)) @t6068))) % 18.94/19.17 (define @t6090 () (@list @t56 @t124 @t6082 @t6083 @t6076 @t6077 @t38 @t10)) % 18.94/19.17 (define @t6091 () (@var "B_z2" $$unsorted)) % 18.94/19.17 (define @t6092 () (@var "B_z1" $$unsorted)) % 18.94/19.17 (define @t6093 () (@var "B_y2" $$unsorted)) % 18.94/19.17 (define @t6094 () (@var "B_y1" $$unsorted)) % 18.94/19.17 (define @t6095 () (@var "V_xqq" $$unsorted)) % 18.94/19.17 (define @t6096 () (tptp.c_List_Oall__interval__nat @t56 @t207 @t1135)) % 18.94/19.17 (define @t6097 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 18.94/19.17 (define @t6098 () (tptp.c_Rings_Odvd__class_Odvd @t33)) % 18.94/19.17 (define @t6099 () (tptp.hAPP @t6098 @t81)) % 18.94/19.17 (define @t6100 () (tptp.hAPP @t1594 @t3)) % 18.94/19.17 (define @t6101 () (tptp.c_Rings_Odvd__class_Odvd @t10)) % 18.94/19.17 (define @t6102 () (tptp.class_Rings_Odvd @t10)) % 18.94/19.17 (define @t6103 () (tptp.hAPP @t3296 @t85)) % 18.94/19.17 (define @t6104 () (tptp.hAPP @t6103 @t81)) % 18.94/19.17 (define @t6105 () (tptp.hBOOL (tptp.hAPP @t6099 @t85))) % 18.94/19.17 (define @t6106 () (tptp.hAPP @t6098 @t82)) % 18.94/19.17 (define @t6107 () (tptp.hAPP @t1239 @t6104)) % 18.94/19.17 (define @t6108 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6101 @t219) @t216))) % 18.94/19.17 (define @t6109 () (or @t3141 @t6108)) % 18.94/19.17 (define @t6110 () (tptp.hAPP @t6098 @t85)) % 18.94/19.17 (define @t6111 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6098 @t1245) @t82))) % 18.94/19.17 (define @t6112 () (tptp.hBOOL (tptp.hAPP @t6099 @t82))) % 18.94/19.17 (define @t6113 () (tptp.hBOOL (tptp.hAPP @t6099 @t1247))) % 18.94/19.17 (define @t6114 () (tptp.hAPP @t6101 @t215)) % 18.94/19.17 (define @t6115 () (tptp.c_Divides_Odiv__class_Odiv @t10)) % 18.94/19.17 (define @t6116 () (tptp.hAPP (tptp.hAPP @t6115 @t216) @t219)) % 18.94/19.17 (define @t6117 () (tptp.class_Divides_Osemiring__div @t10)) % 18.94/19.17 (define @t6118 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t6097 @t219 @t216)) % 18.94/19.17 (define @t6119 () (tptp.hAPP (tptp.hAPP @t2007 @t219) @t1816)) % 18.94/19.17 (define @t6120 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t1650 @t1650) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5136 @t4248 tptp.tc_Nat_Onat) @t2790) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1650 @t5136 tptp.tc_Nat_Onat) @t2789) @t6097))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1650 @t1650 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP @t2785 @t6097)))) % 18.94/19.17 (define @t6121 () (tptp.c_SetInterval_Oord_OgreaterThanAtMost tptp.tc_Nat_Onat @t6097 @t6120 @t118 @t395)) % 18.94/19.17 (define @t6122 () (= @t6121 @t1816)) % 18.94/19.17 (define @t6123 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6097 @t395) @t118))) % 18.94/19.17 (define @t6124 () (@list @t118 @t395)) % 18.94/19.17 (define @t6125 () (= (tptp.c_SetInterval_Oord_OatLeastLessThan tptp.tc_Nat_Onat @t6097 @t6120 @t219 @t216) @t1816)) % 18.94/19.17 (define @t6126 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6097 @t216) @t219))) % 18.94/19.17 (define @t6127 () (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6097 @t118) @t395)) (not @t6123)))) % 18.94/19.17 (define @t6128 () (@var "T_1" $$unsorted)) % 18.94/19.17 (define @t6129 () (@var "T_2" $$unsorted)) % 18.94/19.17 (define @t6130 () (tptp.tc_fun @t6129 @t6128)) % 18.94/19.17 (define @t6131 () (tptp.class_Lattices_Obounded__lattice @t6128)) % 18.94/19.17 (define @t6132 () (@list @t6129 @t6128)) % 18.94/19.17 (define @t6133 () (tptp.class_Lattices_Olattice @t6128)) % 18.94/19.17 (define @t6134 () (tptp.class_Finite__Set_Ofinite @t6128)) % 18.94/19.17 (define @t6135 () (and (tptp.class_Finite__Set_Ofinite @t6129) @t6134)) % 18.94/19.17 (define @t6136 () (@list @t6128 @t6129)) % 18.94/19.17 (define @t6137 () (tptp.class_Enum_Oenum @t6128)) % 18.94/19.17 (define @t6138 () (and (tptp.class_Enum_Oenum @t6129) @t6137)) % 18.94/19.17 (define @t6139 () (tptp.tc_List_Olist @t6128)) % 18.94/19.17 (define @t6140 () (tptp.class_Lazy__Sequence_Osmall__lazy @t6128)) % 18.94/19.17 (define @t6141 () (@list @t6128)) % 18.94/19.17 (define @t6142 () (tptp.tc_sum @t6129 @t6128)) % 18.94/19.17 (define @t6143 () (tptp.tc_Option_Ooption @t6128)) % 18.94/19.17 (define @t6144 () (tptp.tc_prod @t6129 @t6128)) % 18.94/19.17 (define @t6145 () (@var "V_P" $$unsorted)) % 18.94/19.17 (define @t6146 () (@var "V_Q" $$unsorted)) % 18.94/19.17 (define @t6147 () (tptp.hAPP @t53 @t361)) % 18.94/19.17 (define @t6148 () (tptp.hAPP @t56 @t361)) % 18.94/19.17 (define @t6149 () (@list @t361 @t53 @t56 @t10 @t150 @t38)) % 18.94/19.17 (define @t6150 () (tptp.hBOOL (tptp.hAPP @t1194 @t97))) % 18.94/19.17 (define @t6151 () (tptp.hBOOL @t56)) % 18.94/19.17 (define @t6152 () (not @t6151)) % 18.94/19.17 (define @t6153 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t56))) % 18.94/19.17 (define @t6154 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t56) @t53))) % 18.94/19.17 (define @t6155 () (tptp.hBOOL @t53)) % 18.94/19.17 (define @t6156 () (not @t6155)) % 18.94/19.17 (define @t6157 () (@list @t53 @t56)) % 18.94/19.17 (define @t6158 () (not @t6154)) % 18.94/19.17 (define @t6159 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t56) @t53))) % 18.94/19.17 (define @t6160 () (@list @t56 @t53)) % 18.94/19.17 (define @t6161 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t56) @t53))) % 18.94/19.17 (define @t6162 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a tptp.v_G_H tptp.v_ts)) % 18.94/19.17 (define @t6163 () (@var "B_G" $$unsorted)) % 18.94/19.17 (define @t6164 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_HOL_Obool))) % 18.94/19.17 (define @t6165 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a tptp.v_Ga tptp.v_G_H)) % 18.94/19.17 (define @t6166 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a tptp.v_Ga tptp.v_ts)) % 18.94/19.17 (define @t6167 () (not @t17)) % 18.94/19.17 (define @t6168 () (not @t19)) % 18.94/19.17 (define @t6169 () (or @t6168 @t6167 @t11)) % 18.94/19.17 (define @t6170 () (not @t6165)) % 18.94/19.17 (define @t6171 () (not @t6162)) % 18.94/19.17 (define @t6172 () (or @t6171 @t6170 @t6166)) % 18.94/19.17 (define @t6173 () (not @t6172)) % 18.94/19.17 (define @t6174 () (forall @t20 @t6169)) % 18.94/19.17 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t7 @t6) (= @t2 @t1)))) % 18.94/19.17 (assume @p2 (forall (@list @t9 @t8 @t10) (=> (tptp.hBOOL (tptp.hAPP @t14 @t9)) @t11))) % 18.94/19.17 (assume @p3 (forall (@list @t8 @t15 @t9 @t10) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t15) (=> (tptp.hBOOL (tptp.hAPP @t14 @t15)) @t11)))) % 18.94/19.17 (assume @p4 @t21) % 18.94/19.17 (assume @p5 (forall @t31 (=> @t30 (=> @t28 @t24)))) % 18.94/19.17 (assume @p6 (forall @t37 (=> @t36 (tptp.hBOOL (tptp.hAPP @t35 @t32))))) % 18.94/19.17 (assume @p7 (forall @t46 (=> @t45 (= @t44 @t41)))) % 18.94/19.17 (assume @p8 (forall (@list @t47 @t1 @t2 @t10 @t38) (=> @t45 (=> @t44 (tptp.hBOOL (tptp.hAPP @t50 @t48)))))) % 18.94/19.17 (assume @p9 (forall @t51 (tptp.hBOOL (tptp.hAPP @t29 @t23)))) % 18.94/19.17 (assume @p10 (forall @t52 (= @t24 (and @t30 @t28)))) % 18.94/19.17 (assume @p11 (forall (@list @t53 @t10 @t47 @t56) (=> @t59 (=> @t57 @t55)))) % 18.94/19.17 (assume @p12 (forall @t52 (=> @t24 @t30))) % 18.94/19.17 (assume @p13 (forall @t52 (=> @t24 @t28))) % 18.94/19.17 (assume @p14 (forall (@list @t47 @t53 @t56 @t10) (=> @t57 (=> @t59 @t55)))) % 18.94/19.17 (assume @p15 (forall @t63 (=> @t30 (=> @t62 @t61)))) % 18.94/19.17 (assume @p16 (forall @t69 (=> @t68 (=> (not @t67) @t66)))) % 18.94/19.17 (assume @p17 (forall @t75 (=> @t74 (=> @t66 (=> @t73 @t72))))) % 18.94/19.17 (assume @p18 (forall @t77 (=> @t74 (=> @t66 (=> @t67 @t76))))) % 18.94/19.17 (assume @p19 (forall @t80 (=> @t36 (=> @t67 (=> @t79 @t78))))) % 18.94/19.17 (assume @p20 (forall @t69 (=> @t74 (=> @t67 (=> @t66 @t76))))) % 18.94/19.17 (assume @p21 (forall @t89 (=> @t74 (=> @t88 (=> @t86 @t84))))) % 18.94/19.17 (assume @p22 (forall @t94 (=> @t93 (=> @t92 (=> @t86 @t91))))) % 18.94/19.17 (assume @p23 (forall @t94 (=> @t74 (=> @t95 (=> (tptp.hBOOL (tptp.hAPP @t83 @t85)) @t84))))) % 18.94/19.17 (assume @p24 (forall @t94 (=> @t93 (=> @t95 (=> @t96 @t91))))) % 18.94/19.17 (assume @p25 (forall @t106 (=> @t105 (=> @t104 @t102)))) % 18.94/19.17 (assume @p26 (forall @t69 (=> @t36 (=> @t76 @t67)))) % 18.94/19.17 (assume @p27 (forall @t107 (=> @t105 (= @t98 (and @t101 @t104))))) % 18.94/19.17 (assume @p28 (forall @t69 (=> @t68 (or @t67 @t66)))) % 18.94/19.17 (assume @p29 (forall @t52 (=> @t24 (not (=> @t30 (not @t28)))))) % 18.94/19.17 (assume @p30 (forall @t31 (=> @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t110 @t108) (tptp.c_Predicate_OPowp @t10 @t22)))))) % 18.94/19.17 (assume @p31 (forall @t46 (=> @t117 (= @t44 (tptp.hBOOL (tptp.hAPP @t114 (tptp.hAPP (tptp.hAPP @t113 (tptp.hAPP (tptp.hAPP @t112 @t39) @t2)) @t1))))))) % 18.94/19.17 (assume @p32 (forall @t122 (=> @t121 (=> @t120 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t119) @t118)))))) % 18.94/19.17 (assume @p33 (forall (@list @t10 @t1 @t2 @t38) (=> @t45 (=> @t41 @t44)))) % 18.94/19.17 (assume @p34 (forall (@list @t97 @t47 @t2 @t124 @t38 @t10) (= (tptp.c_Predicate_Oinv__imagep @t10 @t38 @t124 @t2 @t47 @t97) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t49) @t123))))) % 18.94/19.17 (assume @p35 (forall @t129 (=> @t128 (=> @t126 (= @t125 @t101))))) % 18.94/19.17 (assume @p36 (forall @t107 (=> @t127 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t132) @t131)) @t104)))) % 18.94/19.17 (assume @p37 (forall @t107 (=> @t127 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t135) @t134)) @t101)))) % 18.94/19.17 (assume @p38 (forall @t107 (=> @t105 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t138) @t137)) @t104)))) % 18.94/19.17 (assume @p39 (forall @t107 (=> @t105 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t141) @t140)) @t101)))) % 18.94/19.17 (assume @p40 (forall @t146 (=> @t145 (=> @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 @t144) (tptp.hAPP (tptp.hAPP @t142 @t22) @t2))))))) % 18.94/19.17 (assume @p41 (forall @t146 (=> @t145 (=> @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 (tptp.hAPP (tptp.hAPP @t147 @t22) @t2)) @t149)))))) % 18.94/19.17 (assume @p42 (forall @t158 (=> @t157 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t38 @t156) @t23) @t2) @t47) (tptp.hAPP @t155 @t153))))) % 18.94/19.17 (assume @p43 (forall @t158 (=> @t157 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t38 @t156) @t23) @t2) @t47) (tptp.hAPP @t160 @t153))))) % 18.94/19.17 (assume @p44 (forall @t107 (=> @t127 (= (= @t132 @t131) @t98)))) % 18.94/19.17 (assume @p45 (forall @t107 (=> @t127 (= (= @t135 @t134) @t98)))) % 18.94/19.17 (assume @p46 (forall @t107 (=> @t127 (= (= @t138 @t137) @t98)))) % 18.94/19.17 (assume @p47 (forall @t107 (=> @t127 (= (= @t141 @t140) @t98)))) % 18.94/19.17 (assume @p48 (forall @t165 (=> @t157 (= (tptp.hAPP @t155 (tptp.hAPP (tptp.hAPP @t164 @t163) @t2)) (tptp.hAPP @t163 (tptp.hAPP (tptp.hAPP @t162 @t155) @t152)))))) % 18.94/19.17 (assume @p49 (forall @t165 (=> @t157 (= (tptp.hAPP @t160 (tptp.hAPP (tptp.hAPP @t164 @t166) @t2)) (tptp.hAPP @t166 (tptp.hAPP (tptp.hAPP @t162 @t160) @t152)))))) % 18.94/19.17 (assume @p50 (forall @t172 (=> @t115 (= @t171 @t167)))) % 18.94/19.17 (assume @p51 (forall @t172 (=> @t115 (= @t167 @t171)))) % 18.94/19.17 (assume @p52 (forall @t172 (=> @t121 (=> @t174 @t173)))) % 18.94/19.17 (assume @p53 (forall @t129 (=> @t128 (=> @t126 @t176)))) % 18.94/19.17 (assume @p54 (forall @t185 (= (tptp.hBOOL (tptp.hAPP @t27 @t184)) (forall @t7 (=> @t181 (tptp.hBOOL (tptp.hAPP @t27 @t177))))))) % 18.94/19.17 (assume @p55 (forall @t189 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t188) @t22)) (forall @t7 (=> @t181 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t177) @t22))))))) % 18.94/19.17 (assume @p56 (forall @t122 (=> @t121 (=> @t120 @t173)))) % 18.94/19.17 (assume @p57 (forall (@list @t190 @t23 @t38 @t192 @t10) (=> @t157 (= (tptp.hBOOL (tptp.hAPP @t193 (tptp.hAPP @t160 @t190))) (forall @t7 (=> @t194 (tptp.hBOOL (tptp.hAPP @t193 @t191)))))))) % 18.94/19.17 (assume @p58 (forall (@list @t192 @t190 @t23 @t38 @t10) (=> @t157 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t155 @t190)) @t192)) (forall @t7 (=> @t194 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t191) @t192)))))))) % 18.94/19.17 (assume @p59 (forall (@list @t47 @t56 @t10) (=> @t105 (=> @t59 (=> (forall @t199 (=> @t198 @t196)) (= @t119 @t47)))))) % 18.94/19.17 (assume @p60 (forall @t31 (=> @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t110 @t202) @t201))))) % 18.94/19.17 (assume @p61 (forall @t206 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t110 @t22) @t23)) (tptp.hBOOL (tptp.hAPP @t205 @t203))))) % 18.94/19.17 (assume @p62 (forall @t213 (=> @t145 (=> @t212 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 @t209) @t208)))))) % 18.94/19.17 (assume @p63 (forall @t213 (=> @t145 (=> @t212 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 @t208) @t214)))))) % 18.94/19.17 (assume @p64 (forall @t227 (=> @t127 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t226) @t225)) (or @t224 @t223))))) % 18.94/19.17 (assume @p65 (forall @t231 (=> @t127 (= (tptp.hAPP @t230 @t229) @t228)))) % 18.94/19.17 (assume @p66 (forall @t231 (=> @t127 (= (tptp.hAPP @t230 @t228) @t229)))) % 18.94/19.17 (assume @p67 (forall @t227 (=> @t105 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t236) @t235)) (or @t234 @t223))))) % 18.94/19.17 (assume @p68 (forall @t231 (=> @t127 (= (tptp.hAPP @t230 @t238) @t237)))) % 18.94/19.17 (assume @p69 (forall @t231 (=> @t127 (= (tptp.hAPP @t230 @t237) @t238)))) % 18.94/19.17 (assume @p70 (forall @t31 (=> (tptp.hBOOL (tptp.hAPP @t242 @t22)) (tptp.hBOOL (tptp.hAPP @t241 @t239))))) % 18.94/19.17 (assume @p71 (forall (@list @t220 @t10 @t22 @t23) (=> @t24 (=> @t249 (not @t247))))) % 18.94/19.17 (assume @p72 (forall @t260 (=> @t259 (=> (not @t255) @t252)))) % 18.94/19.17 (assume @p73 (forall @t260 (=> @t259 (=> @t251 @t255)))) % 18.94/19.17 (assume @p74 (forall (@list @t150 @t38 @t220 @t216 @t22 @t23 @t219 @t10) (=> @t251 (=> @t255 @t262)))) % 18.94/19.17 (assume @p75 (forall @t264 (=> @t30 @t263))) % 18.94/19.17 (assume @p76 (forall @t267 (=> @t246 @t266))) % 18.94/19.17 (assume @p77 (forall (@list @t23 @t60 @t271 @t10) (=> @t275 (=> @t272 @t270)))) % 18.94/19.17 (assume @p78 (forall (@list @t271 @t60 @t23 @t10) (=> @t276 (=> @t275 @t272)))) % 18.94/19.17 (assume @p79 (forall @t31 (=> @t30 @t278))) % 18.94/19.17 (assume @p80 (forall @t284 (=> @t251 (=> @t283 (tptp.hBOOL (tptp.hAPP @t282 @t281)))))) % 18.94/19.17 (assume @p81 (forall (@list @t38 @t216 @t22 @t23 @t219 @t10) (=> @t251 (=> @t286 @t285)))) % 18.94/19.17 (assume @p82 (forall @t294 (=> @t293 (=> @t290 @t288)))) % 18.94/19.17 (assume @p83 (forall @t294 (=> @t293 (=> (not @t288) (not @t290))))) % 18.94/19.17 (assume @p84 (forall @t299 (=> @t298 (=> (not @t286) @t252)))) % 18.94/19.17 (assume @p85 (forall @t299 (=> @t298 (=> @t251 @t286)))) % 18.94/19.17 (assume @p86 (forall @t306 (= (tptp.hAPP (tptp.hAPP @t186 @t305) @t60) (tptp.hAPP @t304 (tptp.hAPP (tptp.hAPP @t302 (tptp.hAPP (tptp.hAPP @t301 @t186) @t22)) @t60))))) % 18.94/19.17 (assume @p87 (forall @t306 (= (tptp.hAPP (tptp.hAPP @t182 @t305) @t60) (tptp.hAPP @t308 (tptp.hAPP (tptp.hAPP @t302 (tptp.hAPP (tptp.hAPP @t301 @t182) @t22)) @t60))))) % 18.94/19.17 (assume @p88 (forall (@list @t56 @t22 @t23 @t38 @t10) (= (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t317 @t316)) @t314)) (forall @t7 (=> @t194 (forall @t312 (=> (tptp.hBOOL (tptp.hAPP @t311 @t310)) (tptp.hBOOL (tptp.hAPP @t56 @t309))))))))) % 18.94/19.17 (assume @p89 (forall @t323 (= (tptp.hAPP @t315 (tptp.hAPP (tptp.hAPP @t322 (tptp.hAPP (tptp.hAPP @t321 @t303) @t22)) @t60)) (tptp.hAPP (tptp.hAPP @t303 @t319) @t60)))) % 18.94/19.17 (assume @p90 (forall @t323 (= (tptp.hAPP @t291 (tptp.hAPP (tptp.hAPP @t322 (tptp.hAPP (tptp.hAPP @t321 @t307) @t22)) @t60)) (tptp.hAPP (tptp.hAPP @t307 @t319) @t60)))) % 18.94/19.17 (assume @p91 (forall @t51 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t202) @t23))) % 18.94/19.17 (assume @p92 (forall @t328 (= @t298 @t327))) % 18.94/19.17 (assume @p93 (forall @t328 (= @t285 (exists @t7 (and @t326 @t325))))) % 18.94/19.17 (assume @p94 (forall @t267 (=> @t266 @t246))) % 18.94/19.17 (assume @p95 (forall @t331 (=> @t330 (=> @t329 @t251)))) % 18.94/19.17 (assume @p96 (forall (@list @t23 @t10 @t97 @t47) (=> @t98 (= @t335 @t333)))) % 18.94/19.17 (assume @p97 (forall (@list @t47 @t10 @t22 @t23) (=> @t24 (= @t335 @t336)))) % 18.94/19.17 (assume @p98 (forall @t31 (= (= @t265 @t337) @t24))) % 18.94/19.17 (assume @p99 (forall @t107 (= (tptp.hBOOL (tptp.hAPP @t334 @t338)) @t98))) % 18.94/19.17 (assume @p100 (forall @t267 (= @t266 @t246))) % 18.94/19.17 (assume @p101 (forall @t341 (= @t335 @t340))) % 18.94/19.17 (assume @p102 (forall @t51 (= (tptp.hAPP @t230 @t265) @t23))) % 18.94/19.17 (assume @p103 (forall @t51 (tptp.hBOOL (tptp.hAPP @t277 @t202)))) % 18.94/19.17 (assume @p104 (forall @t206 (=> @t342 (tptp.hBOOL (tptp.hAPP @t27 @t240))))) % 18.94/19.17 (assume @p105 (forall @t206 (=> @t342 @t343))) % 18.94/19.17 (assume @p106 (forall @t346 (= (tptp.hAPP @t230 @t292) (tptp.hAPP @t315 @t345)))) % 18.94/19.17 (assume @p107 (forall @t346 (= (tptp.hAPP @t230 @t316) (tptp.hAPP @t291 @t345)))) % 18.94/19.17 (assume @p108 (forall @t351 (= @t350 (tptp.hAPP (tptp.hAPP @t349 @t348) @t347)))) % 18.94/19.17 (assume @p109 (forall @t356 (= @t355 @t353))) % 18.94/19.17 (assume @p110 (forall @t356 (= @t360 @t357))) % 18.94/19.17 (assume @p111 (forall @t356 (= @t353 @t355))) % 18.94/19.17 (assume @p112 (forall @t356 (= @t357 @t360))) % 18.94/19.17 (assume @p113 (forall @t31 (= @t278 @t30))) % 18.94/19.17 (assume @p114 (forall @t31 (=> @t278 @t30))) % 18.94/19.17 (assume @p115 (forall @t366 (= (= @t365 @t364) @t362))) % 18.94/19.17 (assume @p116 (forall @t368 (= @t293 (forall @t7 (=> @t194 @t367))))) % 18.94/19.17 (assume @p117 (forall @t368 (= @t369 (exists @t7 (and @t194 @t367))))) % 18.94/19.17 (assume @p118 (forall @t341 (=> @t157 (=> @t335 (tptp.hBOOL (tptp.hAPP @t100 @t370)))))) % 18.94/19.17 (assume @p119 (forall @t341 (=> @t157 (=> @t335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t371) @t47)))))) % 18.94/19.17 (assume @p120 (forall @t351 (= @t373 (tptp.hAPP (tptp.hAPP @t372 @t348) @t347)))) % 18.94/19.17 (assume @p121 (forall @t376 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t10 @t375) @t47)) (tptp.hBOOL (tptp.hAPP @t374 @t202))))) % 18.94/19.17 (assume @p122 (forall @t346 (= (tptp.hAPP @t200 @t292) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t38 @t109) @t23) @t377)))) % 18.94/19.17 (assume @p123 (forall @t51 (tptp.hBOOL (tptp.hAPP @t242 (tptp.hAPP @t200 @t240))))) % 18.94/19.17 (assume @p124 (forall @t31 (=> @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t337) @t265))))) % 18.94/19.17 (assume @p125 (forall @t31 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t265) @t337)) @t28))) % 18.94/19.17 (assume @p126 (forall @t378 (=> @t30 (=> @t335 @t336)))) % 18.94/19.17 (assume @p127 (forall @t379 (=> @t335 (=> @t30 @t336)))) % 18.94/19.17 (assume @p128 (forall @t366 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t365) @t364)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t361) @t348))))) % 18.94/19.17 (assume @p129 (forall @t381 (=> @t251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 @t253) @t281))))) % 18.94/19.17 (assume @p130 (forall @t381 (=> @t251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 @t297) @t253))))) % 18.94/19.17 (assume @p131 (forall @t385 (=> @t157 (= (tptp.hBOOL (tptp.hAPP @t384 @t216)) @t383)))) % 18.94/19.17 (assume @p132 (forall (@list @t23 @t216 @t10) (=> @t157 (= (tptp.hBOOL (tptp.hAPP @t217 @t371)) @t386)))) % 18.94/19.17 (assume @p133 (forall @t346 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t110 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t38 @t109) @t23) @t377)) (tptp.hAPP @t200 @t316))))) % 18.94/19.17 (assume @p134 (forall @t389 (=> @t388 (= (tptp.hBOOL (tptp.hAPP @t211 @t228)) (tptp.hBOOL (tptp.hAPP @t387 @t118)))))) % 18.94/19.17 (assume @p135 (forall @t389 (=> @t388 (= (tptp.hBOOL (tptp.hAPP @t211 @t237)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t118) @t207)))))) % 18.94/19.17 (assume @p136 (forall @t391 (=> (tptp.class_Groups_Ouminus @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t161) @t23) @t47) (tptp.hAPP @t390 @t339))))) % 18.94/19.17 (assume @p137 (forall @t398 (= (tptp.hBOOL (tptp.hAPP @t211 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t10 @t392 @t396 @t395 @t192))) (and @t397 @t394)))) % 18.94/19.17 (assume @p138 (forall @t398 (= (tptp.hBOOL (tptp.hAPP @t211 (tptp.c_SetInterval_Oord_OatLeastLessThan @t10 @t392 @t396 @t395 @t192))) (and @t401 @t400)))) % 18.94/19.17 (assume @p139 (forall (@list @t192 @t395 @t396 @t207 @t10) (= (tptp.hBOOL (tptp.hAPP @t211 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t10 @t396 @t395 @t192))) (and @t397 @t400)))) % 18.94/19.17 (assume @p140 (forall (@list @t192 @t395 @t392 @t207 @t10) (= (tptp.hBOOL (tptp.hAPP @t211 (tptp.c_SetInterval_Oord_OatLeastAtMost @t10 @t392 @t395 @t192))) (and @t401 @t394)))) % 18.94/19.17 (assume @p141 (forall @t402 (= (tptp.hBOOL (tptp.hAPP @t211 (tptp.c_SetInterval_Oord_OgreaterThan @t10 @t396 @t118))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t396 @t118) @t207))))) % 18.94/19.17 (assume @p142 (forall @t402 (= (tptp.hBOOL (tptp.hAPP @t211 (tptp.c_SetInterval_Oord_OlessThan @t10 @t396 @t118))) (tptp.hBOOL (tptp.hAPP @t399 @t118))))) % 18.94/19.17 (assume @p143 (forall @t403 (= (tptp.hBOOL (tptp.hAPP @t211 (tptp.c_SetInterval_Oord_OatLeast @t10 @t392 @t118))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t392 @t118) @t207))))) % 18.94/19.17 (assume @p144 (forall @t403 (= (tptp.hBOOL (tptp.hAPP @t211 (tptp.c_SetInterval_Oord_OatMost @t10 @t392 @t118))) (tptp.hBOOL (tptp.hAPP @t393 @t118))))) % 18.94/19.17 (assume @p145 (forall @t69 (=> @t407 (=> @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t406) @t405)))))) % 18.94/19.17 (assume @p146 (forall @t411 (=> @t410 (=> @t92 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t409) @t408)))))) % 18.94/19.17 (assume @p147 (forall @t413 (= @t262 (exists @t7 (and @t326 @t412))))) % 18.94/19.17 (assume @p148 (forall @t413 (= @t259 @t414))) % 18.94/19.17 (assume @p149 (forall @t107 (=> @t417 (= (= @t416 @t415) @t98)))) % 18.94/19.17 (assume @p150 (forall @t421 (=> @t420 (= (= @t419 @t418) @t330)))) % 18.94/19.17 (assume @p151 (forall @t421 (=> @t420 (= (= @t419 @t216) (= @t418 @t219))))) % 18.94/19.17 (assume @p152 (forall @t421 (=> @t420 (= @t422 (= @t216 @t419))))) % 18.94/19.17 (assume @p153 (forall @t37 (=> @t407 (= (tptp.hAPP @t404 @t405) @t32)))) % 18.94/19.17 (assume @p154 (forall @t424 (=> @t423 (= (tptp.hAPP @t404 @t408) @t81)))) % 18.94/19.17 (assume @p155 (forall @t421 (=> @t425 (= (tptp.hBOOL (tptp.hAPP @t232 @t418)) (tptp.hBOOL (tptp.hAPP @t217 @t419)))))) % 18.94/19.17 (assume @p156 (forall @t421 (=> @t425 (= @t428 (tptp.hBOOL (tptp.hAPP @t426 @t219)))))) % 18.94/19.17 (assume @p157 (forall @t429 (=> @t425 (= (tptp.hBOOL (tptp.hAPP @t426 @t419)) @t233)))) % 18.94/19.17 (assume @p158 (forall @t107 (=> @t417 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t416) @t415)) @t104)))) % 18.94/19.17 (assume @p159 (forall @t435 (=> (forall @t434 (=> @t433 @t431)) @t276))) % 18.94/19.17 (assume @p160 (forall @t436 (=> @t270 (not (forall @t434 (=> @t431 (not @t433))))))) % 18.94/19.17 (assume @p161 (forall @t413 (=> @t262 (not (forall @t7 (=> @t326 (not @t412))))))) % 18.94/19.17 (assume @p162 (forall (@list @t150 @t38 @t220 @t216 @t22 @t23 @t10) (=> @t414 @t259))) % 18.94/19.17 (assume @p163 (forall @t443 (=> @t127 (=> @t442 (= (tptp.hAPP (tptp.hAPP @t440 @t439) @t438) @t437))))) % 18.94/19.17 (assume @p164 (forall @t443 (=> @t127 (=> @t442 (= (tptp.hAPP @t446 @t439) @t444))))) % 18.94/19.17 (assume @p165 (forall @t448 (=> (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t447 @t310)))) (tptp.hBOOL (tptp.hAPP @t447 @t297))))) % 18.94/19.17 (assume @p166 (forall (@list @t1 @t2 @t38 @t23 @t22 @t10) (=> @t28 (=> @t449 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 (tptp.hAPP @t296 @t2)) (tptp.hAPP @t296 @t1))))))) % 18.94/19.17 (assume @p167 (forall (@list @t60 @t22 @t38 @t23 @t10) (=> (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t450 @t60)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 @t281) @t60))))) % 18.94/19.17 (assume @p168 (forall (@list @t1 @t2 @t38 @t22 @t23 @t10) (=> @t30 (=> @t449 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 (tptp.hAPP @t280 @t2)) (tptp.hAPP (tptp.hAPP @t279 @t22) @t1))))))) % 18.94/19.17 (assume @p169 (forall (@list @t190 @t192 @t23 @t10 @t38) (=> @t145 (=> (forall @t456 (=> @t455 (tptp.hBOOL (tptp.hAPP @t451 @t453)))) (tptp.hBOOL (tptp.hAPP @t451 @t209)))))) % 18.94/19.17 (assume @p170 (forall (@list @t10 @t23 @t47 @t22) (=> (=> @t462 @t340) @t459))) % 18.94/19.17 (assume @p171 (forall @t378 (=> @t459 (=> (not @t340) @t461)))) % 18.94/19.17 (assume @p172 (forall @t464 (=> (=> @t248 @t245) @t463))) % 18.94/19.17 (assume @p173 (forall @t465 (=> @t463 @t247))) % 18.94/19.17 (assume @p174 (forall @t468 (=> @t467 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t161) @t2) @t1) @t47) (tptp.hAPP (tptp.hAPP @t466 @t49) @t48))))) % 18.94/19.17 (assume @p175 (forall @t80 (=> @t476 @t475))) % 18.94/19.17 (assume @p176 (forall @t80 (=> @t477 @t475))) % 18.94/19.17 (assume @p177 (forall @t94 (=> @t476 (= (tptp.hAPP (tptp.hAPP @t469 @t481) @t82) @t480)))) % 18.94/19.17 (assume @p178 (forall @t80 (=> @t476 @t483))) % 18.94/19.17 (assume @p179 (forall @t80 (=> @t477 @t483))) % 18.94/19.17 (assume @p180 (forall @t89 (=> @t476 (= (tptp.hAPP @t478 (tptp.hAPP @t479 @t82)) @t480)))) % 18.94/19.17 (assume @p181 (forall @t69 (=> @t476 @t484))) % 18.94/19.17 (assume @p182 (forall @t69 (=> @t477 @t484))) % 18.94/19.17 (assume @p183 (forall @t411 (=> @t476 (= (tptp.hAPP @t479 @t481) @t481)))) % 18.94/19.17 (assume @p184 (forall @t69 (=> @t476 @t486))) % 18.94/19.17 (assume @p185 (forall @t69 (=> @t477 @t486))) % 18.94/19.17 (assume @p186 (forall @t411 (=> @t476 (= @t481 (tptp.hAPP @t478 @t81))))) % 18.94/19.17 (assume @p187 (forall @t37 (=> @t476 @t487))) % 18.94/19.17 (assume @p188 (forall @t424 (=> @t476 (= (tptp.hAPP @t479 @t81) @t81)))) % 18.94/19.17 (assume @p189 (forall (@list @t23 @t10 @t47 @t22) (=> @t461 @t459))) % 18.94/19.17 (assume @p190 (forall (@list @t22 @t10 @t47 @t23) (=> @t340 @t459))) % 18.94/19.17 (assume @p191 (forall @t490 (= (forall @t7 (=> @t489 @t314)) (and (forall @t7 (=> @t326 @t314)) (forall @t7 (=> @t488 @t314)))))) % 18.94/19.17 (assume @p192 (forall @t490 (= (exists @t7 (and @t489 @t314)) (or (exists @t7 (and @t326 @t314)) (exists @t7 (and @t488 @t314)))))) % 18.94/19.17 (assume @p193 (forall @t63 (= (tptp.hAPP (tptp.hAPP @t440 @t458) @t60) @t493))) % 18.94/19.17 (assume @p194 (forall @t63 (= @t493 (tptp.hAPP @t491 @t494)))) % 18.94/19.17 (assume @p195 (forall @t31 (= (tptp.hAPP @t457 @t458) @t458))) % 18.94/19.17 (assume @p196 (forall @t31 (= @t458 @t495))) % 18.94/19.17 (assume @p197 (forall @t51 (= (tptp.hAPP @t457 @t23) @t23))) % 18.94/19.17 (assume @p198 (forall @t31 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t497) (tptp.hAPP (tptp.hAPP @t440 @t240) @t239)))) % 18.94/19.17 (assume @p199 (forall @t503 (=> @t476 (=> @t502 @t500)))) % 18.94/19.17 (assume @p200 (forall @t506 (=> @t476 (=> @t91 (=> @t505 (tptp.hBOOL (tptp.hAPP @t501 (tptp.hAPP (tptp.hAPP @t469 @t82) @t504)))))))) % 18.94/19.17 (assume @p201 (forall @t75 (=> @t476 (=> @t66 (=> @t72 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t471) @t32))))))) % 18.94/19.17 (assume @p202 (forall @t507 (=> @t476 (=> @t499 (=> @t498 @t502))))) % 18.94/19.17 (assume @p203 (forall @t77 (=> @t476 (=> @t66 (= @t474 @t32))))) % 18.94/19.17 (assume @p204 (forall @t69 (=> @t476 (=> @t67 (= @t474 @t64))))) % 18.94/19.17 (assume @p205 (forall @t510 (=> @t476 (=> @t509 @t508)))) % 18.94/19.17 (assume @p206 (forall @t512 (=> @t476 (=> @t511 @t508)))) % 18.94/19.17 (assume @p207 (forall @t520 (=> @t519 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t518) @t513)) @t516)))) % 18.94/19.17 (assume @p208 (forall @t107 (=> @t519 (= @t101 (= @t518 @t97))))) % 18.94/19.17 (assume @p209 (forall @t77 (=> @t476 @t521))) % 18.94/19.17 (assume @p210 (forall @t77 (=> @t477 @t521))) % 18.94/19.17 (assume @p211 (forall @t69 (=> @t476 @t522))) % 18.94/19.17 (assume @p212 (forall @t69 (=> @t477 @t522))) % 18.94/19.17 (assume @p213 (forall @t464 (=> @t244 @t463))) % 18.94/19.17 (assume @p214 (forall @t465 (=> @t245 @t463))) % 18.94/19.17 (assume @p215 (forall @t465 (= @t463 (or @t245 @t244)))) % 18.94/19.17 (assume @p216 (forall @t527 (=> @t61 (=> @t526 (tptp.hBOOL (tptp.hAPP @t525 (tptp.hAPP @t524 @t523))))))) % 18.94/19.17 (assume @p217 (forall @t528 (=> @t61 (=> @t62 (tptp.hBOOL (tptp.hAPP @t525 @t60)))))) % 18.94/19.17 (assume @p218 (forall @t206 (=> @t28 (= @t458 @t23)))) % 18.94/19.17 (assume @p219 (forall @t31 (=> @t30 @t529))) % 18.94/19.17 (assume @p220 (forall @t31 (= @t30 @t529))) % 18.94/19.17 (assume @p221 (forall @t206 (tptp.hBOOL (tptp.hAPP @t27 @t458)))) % 18.94/19.17 (assume @p222 (forall @t31 (tptp.hBOOL (tptp.hAPP @t29 @t458)))) % 18.94/19.17 (assume @p223 (forall @t31 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t110 (tptp.hAPP @t530 @t201)) (tptp.hAPP @t200 @t458))))) % 18.94/19.17 (assume @p224 (forall @t531 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t440 @t365) @t364) @t47)) (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP (tptp.hAPP @t440 @t361) @t348)))))) % 18.94/19.17 (assume @p225 (forall @t537 (= (tptp.hAPP @t187 @t536) (tptp.hAPP (tptp.hAPP @t440 @t188) (tptp.hAPP @t187 @t22))))) % 18.94/19.17 (assume @p226 (forall @t542 (= (tptp.hAPP (tptp.hAPP @t186 @t541) @t190) (tptp.hAPP (tptp.hAPP @t440 (tptp.hAPP @t315 @t190)) (tptp.hAPP @t538 @t190))))) % 18.94/19.17 (assume @p227 (forall @t547 (= @t546 @t545))) % 18.94/19.17 (assume @p228 (forall @t547 (= @t550 @t548))) % 18.94/19.17 (assume @p229 (forall @t448 (= @t545 @t546))) % 18.94/19.17 (assume @p230 (forall @t185 (= (tptp.hAPP @t491 @t184) (tptp.hAPP @t183 (tptp.hAPP (tptp.hAPP @t344 @t491) @t23))))) % 18.94/19.17 (assume @p231 (forall @t551 (= @t548 @t550))) % 18.94/19.17 (assume @p232 (forall @t558 (= (tptp.hAPP (tptp.hAPP @t440 @t184) (tptp.hAPP @t556 @t22)) (tptp.hAPP @t183 (tptp.hAPP (tptp.hAPP @t557 @t556) (tptp.hAPP (tptp.hAPP @t554 (tptp.hAPP @t553 @t534)) @t22)))))) % 18.94/19.17 (assume @p233 (forall @t567 (=> @t127 (=> @t566 (=> @t565 (= (tptp.hAPP @t564 @t562) @t560)))))) % 18.94/19.17 (assume @p234 (forall @t571 (=> @t570 (= (tptp.hAPP (tptp.hAPP @t539 @t569) @t568) @t568)))) % 18.94/19.17 (assume @p235 (forall @t567 (=> @t127 (=> @t566 (=> @t565 (= (tptp.hAPP @t564 @t572) @t439)))))) % 18.94/19.17 (assume @p236 (forall @t443 (=> @t127 (=> @t442 (= (tptp.hAPP @t446 @t560) @t573))))) % 18.94/19.17 (assume @p237 (forall @t443 (=> @t127 (=> @t442 (= (tptp.hAPP @t575 @t574) @t437))))) % 18.94/19.17 (assume @p238 (forall @t31 (= (tptp.hAPP @t457 @t203) (tptp.hAPP (tptp.hAPP @t372 @t22) @t457)))) % 18.94/19.17 (assume @p239 (forall @t443 (=> @t127 (=> @t442 (= (tptp.hAPP (tptp.hAPP @t440 @t577) @t438) @t576))))) % 18.94/19.17 (assume @p240 (forall @t443 (=> @t127 (=> @t442 (= (tptp.hAPP @t579 @t577) @t444))))) % 18.94/19.17 (assume @p241 (forall (@list @t192 @t190 @t23 @t10 @t38) (=> @t145 (=> (forall @t456 (=> @t455 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 @t453) @t192)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 @t214) @t192)))))) % 18.94/19.17 (assume @p242 (forall @t567 (=> @t127 (=> @t566 (=> @t565 (= (tptp.hAPP @t582 @t580) @t439)))))) % 18.94/19.17 (assume @p243 (forall @t436 (=> (forall @t434 (=> @t584 (tptp.hBOOL (tptp.hAPP @t583 @t430)))) (tptp.hBOOL (tptp.hAPP @t583 @t204))))) % 18.94/19.17 (assume @p244 (forall @t436 (=> (forall @t434 (=> @t584 (tptp.hBOOL (tptp.hAPP @t585 @t60)))) (tptp.hBOOL (tptp.hAPP @t241 @t60))))) % 18.94/19.17 (assume @p245 (forall (@list @t38 @t216 @t22 @t23 @t10) (=> @t327 @t298))) % 18.94/19.17 (assume @p246 (forall (@list @t22 @t216 @t38 @t23 @t10) (=> (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t282 @t310)))) (tptp.hBOOL (tptp.hAPP @t282 @t297))))) % 18.94/19.17 (assume @p247 (forall @t328 (=> @t285 (not (forall @t7 (=> @t326 (not @t325))))))) % 18.94/19.17 (assume @p248 (forall @t368 (=> @t369 (not (forall @t7 (=> @t194 (not @t367))))))) % 18.94/19.17 (assume @p249 (forall @t587 (=> @t157 (=> (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t586 @t3)))) (tptp.hBOOL (tptp.hAPP @t586 @t371)))))) % 18.94/19.17 (assume @p250 (forall @t567 (=> @t127 (=> @t566 (=> @t565 (= (tptp.hAPP @t589 @t580) @t577)))))) % 18.94/19.17 (assume @p251 (forall @t587 (=> @t157 (=> (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t382 @t513)))) (tptp.hBOOL (tptp.hAPP @t384 @t513)))))) % 18.94/19.17 (assume @p252 (forall @t37 (=> @t477 @t487))) % 18.94/19.17 (assume @p253 (forall @t547 (= (tptp.hAPP @t593 @t536) (tptp.hAPP (tptp.hAPP @t440 (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t592)) (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t591))))) % 18.94/19.17 (assume @p254 (forall @t31 (=> (forall @t7 (=> @t326 @t488)) @t30))) % 18.94/19.17 (assume @p255 (forall @t31 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP (tptp.hAPP @t440 @t204) @t203)) (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t595))))) % 18.94/19.17 (assume @p256 (forall @t597 (=> @t425 (= (tptp.hAPP @t596 @t138) (tptp.hAPP @t139 @t416))))) % 18.94/19.17 (assume @p257 (forall @t597 (=> @t425 (= (tptp.hAPP @t596 @t141) (tptp.hAPP @t136 @t416))))) % 18.94/19.17 (assume @p258 (forall @t597 (=> @t425 (= (tptp.hAPP @t596 @t132) (tptp.hAPP @t133 @t416))))) % 18.94/19.17 (assume @p259 (forall @t597 (=> @t425 (= (tptp.hAPP @t596 @t135) (tptp.hAPP @t130 @t416))))) % 18.94/19.17 (assume @p260 (forall (@list @t38 @t523 @t60 @t10 @t22 @t23) (=> @t24 (=> (forall @t7 (=> @t488 (= (tptp.hAPP @t60 @t3) @t598))) (= (tptp.hAPP @t296 @t60) (tptp.hAPP (tptp.hAPP @t295 @t22) @t523)))))) % 18.94/19.17 (assume @p261 (forall @t37 (=> @t407 (= (tptp.hAPP @t472 @t405) @t599)))) % 18.94/19.17 (assume @p262 (forall @t597 (tptp.hBOOL (tptp.hAPP @t334 @t600)))) % 18.94/19.17 (assume @p263 (forall @t378 (=> @t604 (not (=> @t340 @t462))))) % 18.94/19.17 (assume @p264 (forall (@list @t10 @t22 @t47 @t23) (=> @t340 (=> @t461 @t604)))) % 18.94/19.17 (assume @p265 (forall (@list @t10 @t23 @t38 @t47 @t2 @t216) (=> @t610 (=> @t609 @t607)))) % 18.94/19.17 (assume @p266 (forall @t465 (=> @t611 (not @t249)))) % 18.94/19.17 (assume @p267 (forall @t465 (=> @t245 (=> @t244 @t611)))) % 18.94/19.17 (assume @p268 (forall (@list @t38 @t47 @t2 @t10) (tptp.hBOOL (tptp.hAPP @t614 @t613)))) % 18.94/19.17 (assume @p269 (forall (@list @t38 @t10 @t47 @t2 @t216) (=> @t610 @t615))) % 18.94/19.17 (assume @p270 (forall @t468 (=> @t467 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t161) @t2) @t1) @t47) (tptp.hAPP (tptp.hAPP @t616 @t49) @t48))))) % 18.94/19.17 (assume @p271 (forall @t80 (=> @t624 @t623))) % 18.94/19.17 (assume @p272 (forall @t80 (=> @t477 @t623))) % 18.94/19.17 (assume @p273 (forall @t94 (=> @t624 (= (tptp.hAPP (tptp.hAPP @t617 @t628) @t82) @t627)))) % 18.94/19.17 (assume @p274 (forall @t107 (=> (tptp.class_Lattices_Obounded__lattice__top @t10) (= (= @t631 @t629) (and (= @t47 @t629) (= @t97 @t629)))))) % 18.94/19.17 (assume @p275 (forall @t80 (=> @t624 @t633))) % 18.94/19.17 (assume @p276 (forall @t80 (=> @t477 @t633))) % 18.94/19.17 (assume @p277 (forall @t89 (=> @t624 (= (tptp.hAPP @t625 (tptp.hAPP @t626 @t82)) @t627)))) % 18.94/19.17 (assume @p278 (forall @t69 (=> @t624 @t634))) % 18.94/19.17 (assume @p279 (forall @t69 (=> @t477 @t634))) % 18.94/19.17 (assume @p280 (forall @t411 (=> @t624 (= (tptp.hAPP @t626 @t628) @t628)))) % 18.94/19.17 (assume @p281 (forall @t69 (=> @t624 @t636))) % 18.94/19.17 (assume @p282 (forall @t69 (=> @t477 @t636))) % 18.94/19.17 (assume @p283 (forall @t411 (=> @t624 (= @t628 (tptp.hAPP @t625 @t81))))) % 18.94/19.17 (assume @p284 (forall @t37 (=> @t624 @t637))) % 18.94/19.17 (assume @p285 (forall @t424 (=> @t624 (= (tptp.hAPP @t626 @t81) @t81)))) % 18.94/19.17 (assume @p286 (forall @t37 (=> @t638 (= (tptp.hAPP @t620 @t599) @t32)))) % 18.94/19.17 (assume @p287 (forall @t37 (=> @t638 (= (tptp.hAPP (tptp.hAPP @t617 @t599) @t32) @t32)))) % 18.94/19.17 (assume @p288 (forall @t37 (=> @t477 @t637))) % 18.94/19.17 (assume @p289 (forall @t378 (=> @t604 @t461))) % 18.94/19.17 (assume @p290 (forall @t378 (=> @t604 @t340))) % 18.94/19.17 (assume @p291 (forall @t63 (= (tptp.hAPP (tptp.hAPP @t601 @t603) @t60) @t641))) % 18.94/19.17 (assume @p292 (forall (@list @t1 @t2 @t150 @t10 @t38) (= (tptp.hAPP (tptp.c_Set_Oimage @t38 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t150 @t10 @t38) @t2) @t1)) @t612) (tptp.hAPP @t643 (tptp.hAPP @t642 @t612))))) % 18.94/19.17 (assume @p293 (forall @t63 (= @t641 (tptp.hAPP @t639 @t644)))) % 18.94/19.17 (assume @p294 (forall @t31 (= (tptp.hAPP @t602 @t603) @t603))) % 18.94/19.17 (assume @p295 (forall @t31 (= @t603 @t645))) % 18.94/19.17 (assume @p296 (forall @t51 (= (tptp.hAPP @t602 @t23) @t23))) % 18.94/19.17 (assume @p297 (forall @t51 (= (tptp.hAPP @t602 @t600) @t23))) % 18.94/19.17 (assume @p298 (forall @t646 (= (tptp.hAPP (tptp.hAPP @t601 @t600) @t22) @t22))) % 18.94/19.17 (assume @p299 (forall @t647 (=> (tptp.class_Orderings_Otop @t10) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t161) @t47) @t629)))) % 18.94/19.17 (assume @p300 (forall @t652 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t605 @t651)) (tptp.hAPP (tptp.hAPP @t601 @t606) @t648))))) % 18.94/19.17 (assume @p301 (forall (@list @t23 @t1 @t150 @t2 @t10 @t38) (= (tptp.hAPP @t605 (tptp.hAPP @t654 @t23)) (tptp.hAPP (tptp.c_Set_Oimage @t150 @t10 (tptp.hAPP (tptp.hAPP @t653 @t2) @t1)) @t23)))) % 18.94/19.17 (assume @p302 (forall @t656 (=> (= @t606 @t22) (= @t655 @t201)))) % 18.94/19.17 (assume @p303 (forall @t31 (= (tptp.hAPP @t200 @t603) (tptp.hAPP (tptp.hAPP @t594 @t202) @t201)))) % 18.94/19.17 (assume @p304 (forall @t658 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t657) @t600))) % 18.94/19.17 (assume @p305 (forall @t658 (= (tptp.hAPP @t200 @t600) @t657))) % 18.94/19.17 (assume @p306 (forall @t658 (=> @t157 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t600) @t629)))) % 18.94/19.17 (assume @p307 (forall (@list @t38 @t2 @t216 @t23 @t47 @t10) (=> @t335 (=> @t610 (tptp.hBOOL (tptp.hAPP @t282 @t660)))))) % 18.94/19.17 (assume @p308 (forall @t661 (=> @t335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 @t49) @t660))))) % 18.94/19.17 (assume @p309 (forall (@list @t23 @t2 @t38 @t513 @t10) (= (tptp.hBOOL (tptp.hAPP @t662 @t606)) (exists @t7 (and @t194 (= @t513 @t5)))))) % 18.94/19.17 (assume @p310 (forall @t31 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t595)) (tptp.hAPP (tptp.hAPP @t601 @t240) @t239))))) % 18.94/19.17 (assume @p311 (forall @t512 (=> @t624 (=> @t664 @t663)))) % 18.94/19.17 (assume @p312 (forall @t506 (=> @t624 (=> @t91 (=> @t505 (tptp.hBOOL (tptp.hAPP @t665 (tptp.hAPP (tptp.hAPP @t617 @t82) @t504)))))))) % 18.94/19.17 (assume @p313 (forall @t80 (=> @t624 (=> @t67 (=> @t78 (tptp.hBOOL (tptp.hAPP @t35 @t619))))))) % 18.94/19.17 (assume @p314 (forall @t512 (=> @t624 (=> @t511 (=> @t509 @t664))))) % 18.94/19.17 (assume @p315 (forall @t77 (=> @t624 (=> @t66 (= @t622 @t64))))) % 18.94/19.17 (assume @p316 (forall @t69 (=> @t624 (=> @t67 (= @t622 @t32))))) % 18.94/19.17 (assume @p317 (forall @t667 (=> @t624 (=> @t498 @t666)))) % 18.94/19.17 (assume @p318 (forall @t507 (=> @t624 (=> @t499 @t666)))) % 18.94/19.17 (assume @p319 (forall @t520 (=> @t669 (= (tptp.hBOOL (tptp.hAPP @t100 (tptp.hAPP (tptp.hAPP @t616 @t97) @t513))) @t668)))) % 18.94/19.17 (assume @p320 (forall @t107 (=> @t669 (= @t101 (= @t631 @t47))))) % 18.94/19.17 (assume @p321 (forall @t69 (=> @t624 @t671))) % 18.94/19.17 (assume @p322 (forall @t69 (=> @t477 @t671))) % 18.94/19.17 (assume @p323 (forall @t69 (=> @t624 @t672))) % 18.94/19.17 (assume @p324 (forall @t69 (=> @t477 @t672))) % 18.94/19.17 (assume @p325 (forall @t676 (=> @t30 @t675))) % 18.94/19.17 (assume @p326 (forall @t679 (= @t678 (exists (@list @t677) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 @t677) @t23)) (= @t22 (tptp.hAPP @t605 @t677))))))) % 18.94/19.17 (assume @p327 (forall @t656 (= (tptp.hAPP @t605 @t541) (tptp.hAPP (tptp.hAPP @t440 @t606) @t648)))) % 18.94/19.17 (assume @p328 (forall @t681 (=> @t680 (= (tptp.hAPP (tptp.hAPP @t469 @t619) @t32) (tptp.hAPP (tptp.hAPP @t617 @t485) (tptp.hAPP (tptp.hAPP @t469 @t70) @t32)))))) % 18.94/19.17 (assume @p329 (forall @t681 (=> @t680 (= (tptp.hAPP (tptp.hAPP @t617 @t471) @t32) (tptp.hAPP (tptp.hAPP @t469 @t635) (tptp.hAPP (tptp.hAPP @t617 @t70) @t32)))))) % 18.94/19.17 (assume @p330 (forall @t80 (=> @t680 (= @t683 @t682)))) % 18.94/19.17 (assume @p331 (forall @t80 (=> @t680 (= @t685 @t684)))) % 18.94/19.17 (assume @p332 (forall @t69 (=> @t477 (= (tptp.hAPP @t472 @t622) @t32)))) % 18.94/19.17 (assume @p333 (forall @t69 (=> @t477 (= (tptp.hAPP @t620 @t474) @t32)))) % 18.94/19.17 (assume @p334 (forall @t465 (=> @t611 @t244))) % 18.94/19.17 (assume @p335 (forall @t465 (=> @t611 @t245))) % 18.94/19.17 (assume @p336 (forall @t465 (= @t611 (and @t245 @t244)))) % 18.94/19.17 (assume @p337 (forall @t527 (=> @t61 (=> @t526 (tptp.hBOOL (tptp.hAPP @t687 (tptp.hAPP @t686 @t523))))))) % 18.94/19.17 (assume @p338 (forall @t689 (=> @t688 (=> (tptp.hBOOL (tptp.hAPP @t583 @t22)) (tptp.hBOOL (tptp.hAPP @t583 @t603)))))) % 18.94/19.17 (assume @p339 (forall @t206 (=> @t28 (= @t603 @t22)))) % 18.94/19.17 (assume @p340 (forall @t31 (=> @t30 (= @t603 @t23)))) % 18.94/19.17 (assume @p341 (forall @t31 (tptp.hBOOL (tptp.hAPP @t687 @t22)))) % 18.94/19.17 (assume @p342 (forall @t31 (tptp.hBOOL (tptp.hAPP @t687 @t23)))) % 18.94/19.17 (assume @p343 (forall @t63 (= (tptp.hAPP (tptp.hAPP @t440 (tptp.hAPP @t693 @t640)) @t692) (tptp.hAPP (tptp.hAPP @t601 (tptp.hAPP @t691 @t492)) @t690)))) % 18.94/19.17 (assume @p344 (forall @t694 (= (tptp.hAPP (tptp.hAPP @t440 @t640) @t23) (tptp.hAPP (tptp.hAPP @t601 @t495) @t690)))) % 18.94/19.17 (assume @p345 (forall @t694 (= (tptp.hAPP (tptp.hAPP @t601 @t492) @t23) (tptp.hAPP (tptp.hAPP @t440 @t645) @t692)))) % 18.94/19.17 (assume @p346 (forall @t63 (= (tptp.hAPP @t457 @t640) (tptp.hAPP @t691 @t494)))) % 18.94/19.17 (assume @p347 (forall @t63 (= @t695 (tptp.hAPP @t693 @t644)))) % 18.94/19.17 (assume @p348 (forall @t51 (tptp.hBOOL (tptp.hAPP @t29 @t600)))) % 18.94/19.17 (assume @p349 (forall @t51 (= (tptp.hAPP @t457 @t600) @t600))) % 18.94/19.17 (assume @p350 (forall @t646 (= (tptp.hAPP (tptp.hAPP @t440 @t600) @t22) @t600))) % 18.94/19.17 (assume @p351 (forall @t547 (= (tptp.hAPP @t543 @t697) (tptp.hAPP (tptp.hAPP @t601 (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t592)) (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t591))))) % 18.94/19.17 (assume @p352 (forall @t701 (= (tptp.hAPP @t315 @t700) (tptp.hAPP @t699 @t22)))) % 18.94/19.17 (assume @p353 (forall (@list @t22 @t23 @t150 @t2 @t10 @t38) (= (tptp.hAPP @t605 @t305) (tptp.hAPP @t304 (tptp.hAPP (tptp.hAPP @t702 @t605) @t22))))) % 18.94/19.17 (assume @p354 (forall @t705 (= (tptp.hAPP (tptp.hAPP @t186 @t704) @t22) (tptp.hAPP @t304 @t703)))) % 18.94/19.17 (assume @p355 (forall @t701 (= (tptp.hAPP @t291 @t700) (tptp.hAPP (tptp.hAPP @t307 @t698) @t22)))) % 18.94/19.17 (assume @p356 (forall @t705 (= (tptp.hAPP (tptp.hAPP @t182 @t704) @t22) (tptp.hAPP @t308 @t703)))) % 18.94/19.17 (assume @p357 (forall @t531 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t601 @t365) @t364) @t47)) (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP (tptp.hAPP @t601 @t361) @t348)))))) % 18.94/19.17 (assume @p358 (forall @t547 (= @t707 @t706))) % 18.94/19.17 (assume @p359 (forall @t547 (= @t710 @t709))) % 18.94/19.17 (assume @p360 (forall @t448 (= @t706 @t707))) % 18.94/19.17 (assume @p361 (forall @t185 (= (tptp.hAPP @t639 @t188) (tptp.hAPP @t187 (tptp.hAPP (tptp.hAPP @t344 @t639) @t23))))) % 18.94/19.17 (assume @p362 (forall @t551 (= @t709 @t710))) % 18.94/19.17 (assume @p363 (forall @t558 (= (tptp.hAPP (tptp.hAPP @t601 @t188) (tptp.hAPP @t711 @t22)) (tptp.hAPP @t187 (tptp.hAPP (tptp.hAPP @t557 @t711) (tptp.hAPP (tptp.hAPP @t554 (tptp.hAPP @t553 @t696)) @t22)))))) % 18.94/19.17 (assume @p364 (forall @t652 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t606) @t22)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t110 @t655) @t201))))) % 18.94/19.17 (assume @p365 (forall @t537 (= (tptp.hAPP @t183 @t697) (tptp.hAPP (tptp.hAPP @t601 @t184) (tptp.hAPP @t183 @t22))))) % 18.94/19.17 (assume @p366 (forall @t346 (= (= @t600 @t292) @t712))) % 18.94/19.17 (assume @p367 (forall @t356 (= (= @t292 @t600) @t712))) % 18.94/19.17 (assume @p368 (forall @t37 (=> (tptp.class_Orderings_Otop @t33) (tptp.hBOOL (tptp.hAPP @t35 @t599))))) % 18.94/19.17 (assume @p369 (forall @t37 (=> @t638 (= (tptp.hAPP @t472 @t599) @t599)))) % 18.94/19.17 (assume @p370 (forall @t37 (=> @t638 (= (tptp.hAPP (tptp.hAPP @t469 @t599) @t32) @t599)))) % 18.94/19.17 (assume @p371 (forall @t80 (=> @t477 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t683) @t682))))) % 18.94/19.17 (assume @p372 (forall @t80 (=> @t477 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t684) @t685))))) % 18.94/19.17 (assume @p373 (forall @t69 (=> @t407 (= (tptp.hAPP @t404 @t474) (tptp.hAPP @t713 @t406))))) % 18.94/19.17 (assume @p374 (forall @t69 (=> @t407 (= (tptp.hAPP @t404 @t622) (tptp.hAPP @t714 @t406))))) % 18.94/19.17 (assume @p375 (forall @t107 (=> @t425 (= (tptp.hAPP @t596 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t47 @t97)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t415 @t416))))) % 18.94/19.17 (assume @p376 (forall @t63 (= (= (tptp.hAPP @t693 @t60) @t695) @t688))) % 18.94/19.17 (assume @p377 (forall @t31 (= (tptp.hAPP @t230 @t458) (tptp.hAPP @t715 @t337)))) % 18.94/19.17 (assume @p378 (forall @t31 (= (tptp.hAPP @t230 @t603) (tptp.hAPP @t716 @t337)))) % 18.94/19.17 (assume @p379 (forall @t51 (= (tptp.hAPP @t716 @t23) @t600))) % 18.94/19.17 (assume @p380 (forall @t51 (= (tptp.hAPP @t457 @t265) @t600))) % 18.94/19.17 (assume @p381 (forall @t356 (= @t316 @t718))) % 18.94/19.17 (assume @p382 (forall @t719 (= @t718 @t316))) % 18.94/19.17 (assume @p383 (forall @t571 (=> @t570 (= (tptp.hAPP (tptp.hAPP @t649 @t569) @t720) @t720)))) % 18.94/19.17 (assume @p384 (forall @t356 (= @t292 @t721))) % 18.94/19.17 (assume @p385 (forall @t719 (= @t721 @t292))) % 18.94/19.17 (assume @p386 (forall @t542 (= (tptp.hAPP (tptp.hAPP @t182 @t541) @t190) (tptp.hAPP (tptp.hAPP @t601 (tptp.hAPP @t291 @t190)) (tptp.hAPP (tptp.hAPP @t182 @t22) @t190))))) % 18.94/19.17 (assume @p387 (forall @t726 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t722 @t725) @t47)) (tptp.hBOOL (tptp.hAPP @t608 (tptp.hAPP @t722 @t124)))))) % 18.94/19.17 (assume @p388 (forall @t726 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t727 @t725) @t47)) (tptp.hBOOL (tptp.hAPP @t608 (tptp.hAPP @t727 @t124)))))) % 18.94/19.17 (assume @p389 (forall @t728 (= (tptp.hAPP @t605 (tptp.c_Complete__Lattice_OSup__class_OSup @t111 @t348)) (tptp.hAPP (tptp.hAPP @t358 @t348) @t605)))) % 18.94/19.17 (assume @p390 (forall @t31 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t497) (tptp.hAPP (tptp.hAPP @t601 @t204) @t203)))) % 18.94/19.17 (assume @p391 (forall @t206 (= (tptp.hAPP (tptp.hAPP @t601 @t239) @t23) (tptp.hAPP @t730 (tptp.hAPP (tptp.hAPP @t729 @t601) @t23))))) % 18.94/19.17 (assume @p392 (forall @t31 (= (tptp.hAPP @t602 @t239) (tptp.hAPP @t730 @t602)))) % 18.94/19.17 (assume @p393 (forall @t107 (=> @t425 (= (tptp.hAPP @t596 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t47 @t97)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t415) @t416))))) % 18.94/19.17 (assume @p394 (forall @t107 (=> @t425 (= (tptp.hAPP @t596 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t47) @t97)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t415 @t416))))) % 18.94/19.17 (assume @p395 (forall @t37 (=> @t407 (= (tptp.hAPP @t714 @t32) @t599)))) % 18.94/19.17 (assume @p396 (forall @t734 (=> @t733 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t230 @t606)) (tptp.hAPP @t605 @t732)))))) % 18.94/19.17 (assume @p397 (forall @t51 (not (exists @t736 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t25 @t735) @t23) @t202))))) % 18.94/19.17 (assume @p398 (forall @t728 (=> @t741 (=> @t740 (=> (exists @t7 (and @t739 (forall @t312 (=> (tptp.hBOOL (tptp.hAPP @t311 @t348)) @t738)))) (= (tptp.c_Orderings_Oord__class_OLeast @t38 (tptp.hAPP @t723 @t737)) (tptp.hAPP @t2 (tptp.c_Orderings_Oord__class_OLeast @t10 @t364)))))))) % 18.94/19.17 (assume @p399 (forall @t69 (=> @t407 (=> (= @t622 @t742) (=> (= @t474 @t599) (= @t405 @t64)))))) % 18.94/19.17 (assume @p400 (forall @t745 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t10 @t744) @t743) @t743))) % 18.94/19.17 (assume @p401 (forall (@list @t23 @t2 @t38 @t216 @t10) (=> @t607 (not (forall @t7 (=> @t747 @t746)))))) % 18.94/19.17 (assume @p402 (forall (@list @t22 @t2 @t38 @t23 @t10) (=> (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 @t5) @t22)))) @t748))) % 18.94/19.17 (assume @p403 (forall @t443 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t601 @t577) @t438) @t749)))) % 18.94/19.17 (assume @p404 (forall @t443 (=> @t105 (= (tptp.hAPP @t750 @t577) @t749)))) % 18.94/19.17 (assume @p405 (forall @t443 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t601 @t439) @t438) @t749)))) % 18.94/19.17 (assume @p406 (forall @t443 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t601 @t560) @t574) @t749)))) % 18.94/19.17 (assume @p407 (forall @t597 (tptp.hBOOL (tptp.hAPP @t600 @t47)))) % 18.94/19.17 (assume @p408 (forall @t751 (not (tptp.hBOOL (tptp.hAPP @t250 @t749))))) % 18.94/19.17 (assume @p409 (forall @t51 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t749) @t23)))) % 18.94/19.17 (assume @p410 (forall @t658 (not (= @t600 @t749)))) % 18.94/19.17 (assume @p411 (forall @t647 (=> (tptp.class_Orderings_Obot @t10) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t161) @t47) @t752)))) % 18.94/19.17 (assume @p412 (forall @t658 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t753) @t749))) % 18.94/19.17 (assume @p413 (forall @t658 (=> @t157 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t749) @t752)))) % 18.94/19.17 (assume @p414 (forall @t51 (= (forall @t7 @t755) @t754))) % 18.94/19.17 (assume @p415 (forall @t51 (= @t757 @t756))) % 18.94/19.17 (assume @p416 (forall (@list @t220 @t10) (not (tptp.hBOOL (tptp.hAPP @t243 @t749))))) % 18.94/19.17 (assume @p417 (forall (@list @t219 @t10 @t23) (=> @t754 @t252))) % 18.94/19.17 (assume @p418 (forall @t51 (= (tptp.hBOOL (tptp.hAPP @t29 @t749)) @t754))) % 18.94/19.17 (assume @p419 (forall @t760 (= (= @t749 @t606) @t759))) % 18.94/19.17 (assume @p420 (forall @t761 (= (tptp.hAPP @t605 @t758) @t749))) % 18.94/19.17 (assume @p421 (forall @t734 (= (= @t606 @t749) @t759))) % 18.94/19.17 (assume @p422 (forall @t646 (= (tptp.hAPP (tptp.hAPP @t440 @t749) @t22) @t22))) % 18.94/19.17 (assume @p423 (forall @t51 (= (tptp.hAPP @t457 @t749) @t23))) % 18.94/19.17 (assume @p424 (forall @t31 (= (= @t458 @t749) (and @t754 @t762)))) % 18.94/19.17 (assume @p425 (forall @t646 (= (tptp.hAPP (tptp.hAPP @t601 @t749) @t22) @t749))) % 18.94/19.17 (assume @p426 (forall @t51 (= (tptp.hAPP @t602 @t749) @t749))) % 18.94/19.17 (assume @p427 (forall @t31 (= @t765 (forall @t7 (=> @t326 (forall @t312 (=> (tptp.hBOOL (tptp.hAPP @t311 @t22)) @t764))))))) % 18.94/19.17 (assume @p428 (forall @t658 (= (tptp.hAPP @t230 @t749) @t600))) % 18.94/19.17 (assume @p429 (forall @t658 (= (tptp.hAPP @t230 @t600) @t749))) % 18.94/19.17 (assume @p430 (forall (@list @t9 @t10) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t766))) % 18.94/19.17 (assume @p431 (forall @t751 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t219 @t766))) % 18.94/19.17 (assume @p432 (forall @t51 (not (= @t202 @t753)))) % 18.94/19.17 (assume @p433 (forall @t658 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t657) @t749))) % 18.94/19.17 (assume @p434 (forall @t658 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t753) @t600))) % 18.94/19.17 (assume @p435 (forall @t129 (=> @t741 (=> @t740 (=> @t101 @t125))))) % 18.94/19.17 (assume @p436 (forall @t597 (= (tptp.hBOOL (tptp.hAPP @t749 @t47)) (tptp.hBOOL (tptp.hAPP @t334 @t749))))) % 18.94/19.17 (assume @p437 (forall @t37 (=> (tptp.class_Orderings_Obot @t33) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t742) @t32))))) % 18.94/19.17 (assume @p438 (forall @t769 (=> @t145 (=> @t756 (= (tptp.hAPP @t143 @t768) @t190))))) % 18.94/19.17 (assume @p439 (forall @t356 (= (= @t316 @t749) @t770))) % 18.94/19.17 (assume @p440 (forall @t774 (and (=> @t754 (= @t773 @t758)) (=> @t756 (= @t773 @t220))))) % 18.94/19.17 (assume @p441 (forall (@list @t23 @t10 @t38) (= (tptp.hAPP @t315 (tptp.hAPP @t775 @t749)) @t749))) % 18.94/19.17 (assume @p442 (forall @t346 (= (= @t749 @t316) @t770))) % 18.94/19.17 (assume @p443 (forall @t769 (=> @t145 (=> @t756 (= (tptp.hAPP @t148 @t768) @t190))))) % 18.94/19.17 (assume @p444 (forall (@list @t22 @t10 @t38) (= (tptp.hAPP (tptp.hAPP @t182 @t758) @t22) @t600))) % 18.94/19.17 (assume @p445 (forall @t774 (and (=> @t754 (= @t776 @t612)) (=> @t756 (= @t776 @t220))))) % 18.94/19.17 (assume @p446 (forall @t37 (=> @t777 (= (tptp.hAPP (tptp.hAPP @t469 @t742) @t32) @t32)))) % 18.94/19.17 (assume @p447 (forall @t37 (=> @t777 (= (tptp.hAPP @t472 @t742) @t32)))) % 18.94/19.17 (assume @p448 (forall @t107 (=> (tptp.class_Lattices_Obounded__lattice__bot @t10) (= (= @t518 @t752) (and (= @t47 @t752) (= @t97 @t752)))))) % 18.94/19.17 (assume @p449 (forall @t37 (=> @t777 (= (tptp.hAPP (tptp.hAPP @t617 @t742) @t32) @t742)))) % 18.94/19.17 (assume @p450 (forall @t37 (=> @t777 (= (tptp.hAPP @t620 @t742) @t742)))) % 18.94/19.17 (assume @p451 (forall @t658 (=> @t157 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t600) @t752)))) % 18.94/19.17 (assume @p452 (forall @t761 (=> @t741 (=> @t126 @t740)))) % 18.94/19.17 (assume @p453 (forall @t421 (=> @t105 (= (= @t749 @t236) @t234)))) % 18.94/19.17 (assume @p454 (forall @t421 (=> @t105 (= @t778 @t234)))) % 18.94/19.17 (assume @p455 (forall @t429 (=> @t105 (=> @t224 @t779)))) % 18.94/19.17 (assume @p456 (forall @t567 (=> @t105 (= (tptp.hAPP @t780 @t562) @t749)))) % 18.94/19.17 (assume @p457 (forall @t51 (= (tptp.hBOOL (tptp.hAPP @t29 @t265)) @t754))) % 18.94/19.17 (assume @p458 (forall @t51 (= (tptp.hAPP @t602 @t265) @t749))) % 18.94/19.17 (assume @p459 (forall @t51 (= (tptp.hAPP @t715 @t23) @t749))) % 18.94/19.17 (assume @p460 (forall @t784 (=> @t105 (=> @t783 @t782)))) % 18.94/19.17 (assume @p461 (forall @t658 (=> @t157 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t749) @t629)))) % 18.94/19.17 (assume @p462 (forall @t435 (= (= (tptp.hAPP (tptp.hAPP @t601 @t268) @t23) @t749) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t786 @t60)) (= (tptp.hAPP @t785 @t23) @t749)))))) % 18.94/19.17 (assume @p463 (forall @t646 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t749) @t201)))) % 18.94/19.17 (assume @p464 (forall @t567 (=> @t105 (= (tptp.hAPP @t787 @t580) @t749)))) % 18.94/19.17 (assume @p465 (forall @t652 (=> @t790 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 (tptp.hAPP (tptp.hAPP @t539 @t789) @t788)) (tptp.hAPP @t2 @t458)))))) % 18.94/19.17 (assume @p466 (forall @t652 (=> @t790 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 (tptp.hAPP @t2 @t603)) (tptp.hAPP (tptp.hAPP @t649 @t789) @t788)))))) % 18.94/19.17 (assume @p467 (forall @t797 (and (=> @t795 (= @t794 @t758)) (=> @t796 (= @t794 @t793))))) % 18.94/19.17 (assume @p468 (forall @t797 (and (=> @t795 (= @t804 @t758)) (=> @t796 (= @t804 @t798))))) % 18.94/19.17 (assume @p469 (forall @t797 (and (=> @t795 (= @t793 @t23)) (=> @t796 (= @t793 @t794))))) % 18.94/19.17 (assume @p470 (forall @t797 (and (=> @t795 (= @t798 @t22)) (=> @t796 (= @t798 @t804))))) % 18.94/19.17 (assume @p471 (forall @t797 (and (=> @t795 (= @t807 @t23)) (=> @t796 (= @t807 @t806))))) % 18.94/19.17 (assume @p472 (forall @t797 (and (=> @t795 (= @t811 @t22)) (=> @t796 (= @t811 @t809))))) % 18.94/19.17 (assume @p473 (forall @t797 (and (=> @t795 (= @t809 @t612)) (=> @t796 (= @t809 @t811))))) % 18.94/19.17 (assume @p474 (forall @t797 (and (=> @t795 (= @t806 @t612)) (=> @t796 (= @t806 @t807))))) % 18.94/19.17 (assume @p475 (forall @t656 (=> (and @t814 @t519) (=> @t740 (tptp.hBOOL (tptp.hAPP @t813 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t466 @t23) @t22)))))))) % 18.94/19.17 (assume @p476 (forall @t656 (=> (and @t818 @t669) (=> @t740 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 (tptp.hAPP @t2 (tptp.hAPP @t817 @t22))) @t816)))))) % 18.94/19.17 (assume @p477 (forall @t37 (=> @t407 (= (tptp.hAPP @t620 @t405) @t742)))) % 18.94/19.17 (assume @p478 (forall @t37 (=> @t407 (= (tptp.hAPP @t713 @t32) @t742)))) % 18.94/19.17 (assume @p479 (forall @t819 (=> @t407 (= (tptp.hAPP @t404 @t599) @t742)))) % 18.94/19.17 (assume @p480 (forall @t819 (=> @t407 (= (tptp.hAPP @t404 @t742) @t599)))) % 18.94/19.17 (assume @p481 (forall @t31 (= @t765 (tptp.hBOOL (tptp.hAPP @t29 @t337))))) % 18.94/19.17 (assume @p482 (forall @t567 (=> @t105 (= (tptp.hAPP @t780 @t572) @t749)))) % 18.94/19.17 (assume @p483 (forall @t443 (=> @t105 (= (tptp.hAPP @t820 @t439) @t749)))) % 18.94/19.17 (assume @p484 (forall @t443 (=> @t105 (= (tptp.hAPP @t820 @t560) @t749)))) % 18.94/19.17 (assume @p485 (forall @t567 (=> @t105 (= (tptp.hAPP @t821 @t580) @t749)))) % 18.94/19.17 (assume @p486 (forall @t443 (=> @t127 (=> @t442 (= (tptp.hAPP @t823 @t577) @t439))))) % 18.94/19.17 (assume @p487 (forall @t443 (=> @t127 (=> @t442 (= (tptp.hAPP @t575 @t824) @t439))))) % 18.94/19.17 (assume @p488 (forall (@list @t22 @t271 @t2 @t38 @t10) (=> @t105 (=> (tptp.c_Orderings_Oorder__class_Omono @t10 @t111 @t2) (tptp.c_Orderings_Oorder__class_Omono @t10 @t111 (tptp.hAPP (tptp.hAPP @t803 (tptp.hAPP @t801 (tptp.hAPP (tptp.hAPP @t803 (tptp.hAPP @t801 @t2)) @t271))) @t22)))))) % 18.94/19.17 (assume @p489 (forall @t443 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t601 @t825) @t574) @t749)))) % 18.94/19.17 (assume @p490 (forall @t443 (=> @t105 (= (tptp.hAPP @t750 @t825) @t749)))) % 18.94/19.17 (assume @p491 (forall @t567 (=> @t105 (= (tptp.hAPP @t787 @t826) @t749)))) % 18.94/19.17 (assume @p492 (forall (@list @t395 @t10) (=> @t127 (= (tptp.hAPP @t823 @t576) @t437)))) % 18.94/19.17 (assume @p493 (forall @t797 (and (=> @t795 (= @t830 @t612)) (=> @t796 (= @t830 @t829))))) % 18.94/19.17 (assume @p494 (forall @t832 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t601 (tptp.hAPP @t139 @t831)) (tptp.hAPP @t136 @t831)) (tptp.hAPP (tptp.hAPP @t822 @t831) @t749))))) % 18.94/19.17 (assume @p495 (forall @t838 (=> (=> @t837 @t330) @t835))) % 18.94/19.17 (assume @p496 (forall @t842 (=> @t841 (=> @t839 @t251)))) % 18.94/19.17 (assume @p497 (forall @t465 (=> @t846 (not @t263)))) % 18.94/19.17 (assume @p498 (forall @t465 (=> @t245 (=> @t248 @t846)))) % 18.94/19.17 (assume @p499 (forall @t852 (= @t851 (tptp.hAPP @t849 @t848)))) % 18.94/19.17 (assume @p500 (forall @t852 (= @t851 (tptp.hAPP (tptp.hAPP @t843 @t853) @t22)))) % 18.94/19.17 (assume @p501 (forall @t856 (= @t855 @t854))) % 18.94/19.17 (assume @p502 (forall @t863 (and @t862 (=> @t861 (= @t860 (tptp.hAPP @t857 @t845)))))) % 18.94/19.17 (assume @p503 (forall @t863 @t862)) % 18.94/19.17 (assume @p504 (forall @t227 (=> @t868 (=> @t867 (= @t330 @t864))))) % 18.94/19.17 (assume @p505 (forall (@list @t47 @t22 @t23 @t38 @t10) (=> (tptp.class_Groups_Ominus @t10) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t161) @t23) @t22) @t47) (tptp.hAPP (tptp.hAPP @t865 @t339) @t460))))) % 18.94/19.17 (assume @p506 (forall (@list @t47 @t23 @t97 @t10) (= (tptp.hBOOL (tptp.hAPP @t871 @t47)) (or @t869 @t340)))) % 18.94/19.17 (assume @p507 (forall @t31 (= (tptp.hAPP @t849 @t22) @t845))) % 18.94/19.17 (assume @p508 (forall @t872 (= (tptp.hAPP @t857 @t871) (tptp.hAPP @t870 @t858)))) % 18.94/19.17 (assume @p509 (forall @t341 (= (tptp.hAPP @t857 @t858) @t858))) % 18.94/19.17 (assume @p510 (forall @t856 (=> @t251 (= @t855 @t23)))) % 18.94/19.17 (assume @p511 (forall @t341 (=> @t874 (= (tptp.hAPP @t859 @t873) @t23)))) % 18.94/19.17 (assume @p512 (forall @t227 (=> @t425 (=> @t867 (= @t233 @t875))))) % 18.94/19.17 (assume @p513 (forall @t231 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t843 @t876) @t238) @t876)))) % 18.94/19.17 (assume @p514 (forall @t411 (=> @t882 (= (tptp.hAPP @t404 @t881) @t879)))) % 18.94/19.17 (assume @p515 (forall @t465 (=> @t846 @t248))) % 18.94/19.17 (assume @p516 (forall @t465 (=> @t846 @t245))) % 18.94/19.17 (assume @p517 (forall @t465 (= @t846 (and @t245 @t248)))) % 18.94/19.17 (assume @p518 (forall @t856 (=> @t251 (= @t854 @t23)))) % 18.94/19.17 (assume @p519 (forall @t838 (=> @t836 @t835))) % 18.94/19.17 (assume @p520 (forall @t379 (=> @t874 (=> @t861 (= (= @t858 @t883) @t24))))) % 18.94/19.17 (assume @p521 (forall @t842 (= @t841 @t884))) % 18.94/19.17 (assume @p522 (forall @t885 (tptp.hBOOL (tptp.hAPP @t250 @t850)))) % 18.94/19.17 (assume @p523 (forall @t51 (= (tptp.hAPP @t844 @t23) @t749))) % 18.94/19.17 (assume @p524 (forall @t51 (= (tptp.hAPP @t844 @t749) @t23))) % 18.94/19.17 (assume @p525 (forall @t51 (= (tptp.hAPP (tptp.hAPP @t843 @t749) @t23) @t749))) % 18.94/19.17 (assume @p526 (forall @t421 (=> (= @t848 @t886) @t330))) % 18.94/19.17 (assume @p527 (forall @t227 (= (= @t892 (tptp.hAPP @t891 (tptp.hAPP (tptp.hAPP @t822 @t215) @t749))) (or @t890 (and (= @t219 @t215) @t887))))) % 18.94/19.17 (assume @p528 (forall @t856 (not (= @t854 @t749)))) % 18.94/19.17 (assume @p529 (forall @t856 (not (= @t749 @t854)))) % 18.94/19.18 (assume @p530 (forall @t63 (=> @t30 (=> @t62 (= (tptp.hAPP @t894 (tptp.hAPP @t893 @t23)) @t23))))) % 18.94/19.18 (assume @p531 (forall (@list @t22 @t523 @t60 @t23 @t10) (=> @t61 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t523) @t22)) (tptp.hBOOL (tptp.hAPP @t895 (tptp.hAPP @t893 @t523))))))) % 18.94/19.18 (assume @p532 (forall @t31 (tptp.hBOOL (tptp.hAPP @t895 @t23)))) % 18.94/19.18 (assume @p533 (forall @t63 (= (tptp.hAPP (tptp.hAPP @t843 @t458) @t60) (tptp.hAPP (tptp.hAPP @t440 @t897) @t896)))) % 18.94/19.18 (assume @p534 (forall @t206 (= (tptp.hAPP (tptp.hAPP @t440 @t898) @t23) @t495))) % 18.94/19.18 (assume @p535 (forall @t31 (= @t899 @t458))) % 18.94/19.18 (assume @p536 (forall @t528 (= @t901 (tptp.hAPP @t900 @t22)))) % 18.94/19.18 (assume @p537 (forall @t63 (= (tptp.hAPP @t902 @t60) @t901))) % 18.94/19.18 (assume @p538 (forall @t63 (= (tptp.hAPP (tptp.hAPP @t843 @t603) @t60) (tptp.hAPP @t602 @t896)))) % 18.94/19.18 (assume @p539 (forall @t689 (= (tptp.hAPP @t686 @t845) (tptp.hAPP (tptp.hAPP @t843 @t692) (tptp.hAPP @t686 @t22))))) % 18.94/19.18 (assume @p540 (forall (@list @t219 @t523 @t60 @t10) (=> (tptp.hBOOL (tptp.hAPP @t583 @t523)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t847 @t60)) (tptp.hAPP @t847 @t523)))))) % 18.94/19.18 (assume @p541 (forall (@list @t216 @t22 @t23 @t10) (=> @t30 (tptp.hBOOL (tptp.hAPP @t29 @t834))))) % 18.94/19.18 (assume @p542 (forall (@list @t219 @t22 @t10) (tptp.hBOOL (tptp.hAPP @t27 @t850)))) % 18.94/19.18 (assume @p543 (forall (@list @t22 @t219 @t2 @t10 @t38) (= (tptp.hAPP @t605 @t906) (tptp.hAPP (tptp.hAPP @t822 @t903) @t648)))) % 18.94/19.18 (assume @p544 (forall (@list @t60 @t22 @t219 @t10) (= (tptp.hAPP (tptp.hAPP @t440 @t850) @t60) (tptp.hAPP @t847 @t492)))) % 18.94/19.18 (assume @p545 (forall @t852 (= (tptp.hAPP @t457 @t850) (tptp.hAPP @t847 @t458)))) % 18.94/19.18 (assume @p546 (forall @t908 (= (tptp.hAPP (tptp.hAPP @t601 @t854) @t850) @t907))) % 18.94/19.18 (assume @p547 (forall (@list @t8 @t909 @t9 @t10) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 (tptp.hAPP @t910 @t766)) (=> @t11 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 (tptp.hAPP @t910 @t8)))))) % 18.94/19.18 (assume @p548 (forall @t915 (= @t914 (and (=> @t335 @t913) @t911)))) % 18.94/19.18 (assume @p549 (forall @t915 (=> @t913 (=> @t335 @t914)))) % 18.94/19.18 (assume @p550 (forall @t547 (= @t917 @t916))) % 18.94/19.18 (assume @p551 (forall @t551 (= @t916 @t917))) % 18.94/19.18 (assume @p552 (forall (@list @t22 @t219 @t60 @t10 @t38) (= @t919 @t918))) % 18.94/19.18 (assume @p553 (forall (@list @t22 @t60 @t38 @t219 @t10) (= @t918 @t919))) % 18.94/19.18 (assume @p554 (forall @t69 (=> @t407 (= @t921 (tptp.hAPP @t620 @t406))))) % 18.94/19.18 (assume @p555 (forall @t429 (=> @t923 @t922))) % 18.94/19.18 (assume @p556 (forall @t429 (= @t923 @t922))) % 18.94/19.18 (assume @p557 (forall @t379 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t858) @t22)) (and @t336 @t30)))) % 18.94/19.18 (assume @p558 (forall @t379 (=> @t874 (= @t914 @t30)))) % 18.94/19.18 (assume @p559 (forall @t661 (=> @t335 (= (tptp.hAPP (tptp.hAPP @t904 @t49) @t660) @t660)))) % 18.94/19.18 (assume @p560 (forall @t51 (= (tptp.hAPP @t844 @t600) @t749))) % 18.94/19.18 (assume @p561 (forall @t927 @t926)) % 18.94/19.18 (assume @p562 (forall @t908 @t929)) % 18.94/19.18 (assume @p563 (forall @t927 @t930)) % 18.94/19.18 (assume @p564 (forall @t908 @t931)) % 18.94/19.18 (assume @p565 (forall @t927 (and @t926 @t930))) % 18.94/19.18 (assume @p566 (forall @t908 (and @t929 @t931))) % 18.94/19.18 (assume @p567 (forall @t31 (=> @t765 (= @t845 @t23)))) % 18.94/19.18 (assume @p568 (forall @t31 (= (tptp.hAPP @t602 @t898) @t749))) % 18.94/19.18 (assume @p569 (forall @t652 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP (tptp.hAPP @t843 @t606) @t648)) (tptp.hAPP @t605 @t932))))) % 18.94/19.18 (assume @p570 (forall @t376 (=> (tptp.hBOOL (tptp.hAPP @t29 @t873)) (or @t754 (= @t23 @t873))))) % 18.94/19.18 (assume @p571 (forall @t63 (= (tptp.hBOOL (tptp.hAPP @t895 @t60)) (tptp.hBOOL (tptp.hAPP @t29 @t492))))) % 18.94/19.18 (assume @p572 (forall @t31 (=> @t30 (= @t899 @t22)))) % 18.94/19.18 (assume @p573 (forall @t856 (= @t854 (tptp.hAPP (tptp.hAPP @t440 @t848) @t23)))) % 18.94/19.18 (assume @p574 (forall @t31 (= (tptp.hAPP @t933 @t603) @t23))) % 18.94/19.18 (assume @p575 (forall @t63 (= (tptp.hAPP @t844 @t492) (tptp.hAPP @t902 @t897)))) % 18.94/19.18 (assume @p576 (forall @t63 (= (tptp.hAPP @t844 @t640) (tptp.hAPP @t933 @t897)))) % 18.94/19.18 (assume @p577 (forall (@list @t561 @t831 @t207 @t10) (=> @t127 (=> (tptp.hBOOL (tptp.hAPP @t387 @t831)) (= (tptp.hAPP (tptp.hAPP @t843 (tptp.hAPP @t934 @t561)) (tptp.hAPP @t934 @t831)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t831) @t561)))))) % 18.94/19.18 (assume @p578 (forall @t421 (=> @t105 (=> @t330 (= @t236 @t848))))) % 18.94/19.18 (assume @p579 (forall @t936 (=> @t105 (= (= @t236 (tptp.hAPP @t891 @t749)) @t935)))) % 18.94/19.18 (assume @p580 (forall @t751 (=> @t105 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t219 @t219) @t848)))) % 18.94/19.18 (assume @p581 (forall @t751 (=> @t157 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t848) @t219)))) % 18.94/19.18 (assume @p582 (forall @t856 (=> @t157 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t854) (tptp.hAPP @t937 @t370))))) % 18.94/19.18 (assume @p583 (forall @t51 (= @t265 (tptp.hAPP (tptp.hAPP @t843 @t600) @t23)))) % 18.94/19.18 (assume @p584 (forall @t31 (= (tptp.hAPP @t230 @t845) (tptp.hAPP @t716 @t22)))) % 18.94/19.18 (assume @p585 (forall @t31 (= (tptp.hAPP @t844 @t337) @t603))) % 18.94/19.18 (assume @p586 (forall @t31 (= @t845 (tptp.hAPP @t602 @t337)))) % 18.94/19.18 (assume @p587 (forall @t751 (=> @t157 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t848) @t219)))) % 18.94/19.18 (assume @p588 (forall @t856 (=> @t157 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t854) (tptp.hAPP @t938 @t371))))) % 18.94/19.18 (assume @p589 (forall @t885 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t940) (tptp.hAPP (tptp.hAPP @t440 @t219) @t239)))) % 18.94/19.18 (assume @p590 (forall @t31 (= @t458 (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t941)))) % 18.94/19.18 (assume @p591 (forall @t658 (= (tptp.hAPP @t200 @t749) (tptp.hAPP (tptp.hAPP @t939 @t749) @t753)))) % 18.94/19.18 (assume @p592 (forall @t885 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t940) (tptp.hAPP (tptp.hAPP @t601 @t219) @t203)))) % 18.94/19.18 (assume @p593 (forall @t31 (= @t603 (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t941)))) % 18.94/19.18 (assume @p594 (forall @t944 (=> @t943 (= (tptp.hAPP @t280 @t942) (tptp.hAPP @t905 @t281))))) % 18.94/19.18 (assume @p595 (forall @t774 (and (=> @t754 (= @t945 @t758)) (=> @t756 @t946)))) % 18.94/19.18 (assume @p596 (forall @t950 (and (=> @t795 (= @t948 @t949)) (=> @t796 (= @t948 @t947))))) % 18.94/19.18 (assume @p597 (forall @t51 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t25) @t23) @t952) @t23))) % 18.94/19.18 (assume @p598 (forall @t950 (and (=> @t795 (= @t947 @t758)) (=> @t796 (= @t947 @t948))))) % 18.94/19.18 (assume @p599 (forall @t944 (=> @t943 (= (tptp.hAPP @t296 @t942) (tptp.hAPP @t905 @t297))))) % 18.94/19.18 (assume @p600 (forall @t954 (= (tptp.hAPP (tptp.hAPP @t186 @t953) @t22) (tptp.hAPP (tptp.hAPP @t440 @t253) @t316)))) % 18.94/19.18 (assume @p601 (forall @t547 (= @t956 @t955))) % 18.94/19.18 (assume @p602 (forall @t448 (= @t955 @t956))) % 18.94/19.18 (assume @p603 (forall @t954 (= (tptp.hAPP (tptp.hAPP @t182 @t953) @t22) (tptp.hAPP (tptp.hAPP @t601 @t253) @t292)))) % 18.94/19.18 (assume @p604 (forall @t784 (=> @t105 (=> @t783 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t118 @t395) @t749))))) % 18.94/19.18 (assume @p605 (forall @t107 (=> @t425 (= (tptp.hAPP @t596 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t47 @t97)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t415 @t416))))) % 18.94/19.18 (assume @p606 (forall @t421 (=> @t157 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t892) @t957)))) % 18.94/19.18 (assume @p607 (forall @t421 (=> @t157 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t892) @t958)))) % 18.94/19.18 (assume @p608 (forall (@list @t220 @t38 @t23 @t47 @t10) (=> @t335 @t946))) % 18.94/19.18 (assume @p609 (forall @t797 (and (=> @t795 (= @t961 @t612)) (=> @t796 (= @t961 @t959))))) % 18.94/19.18 (assume @p610 (forall @t797 (and (=> @t795 (= @t959 (tptp.hAPP (tptp.hAPP @t827 @t612) @t22))) (=> @t796 (= @t959 @t961))))) % 18.94/19.18 (assume @p611 (forall @t734 (= @t606 (tptp.hAPP @t315 (tptp.hAPP (tptp.hAPP @t549 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t532 @t38) @t822) @t2)) @t749))))) % 18.94/19.18 (assume @p612 (forall @t797 (and (=> @t795 (= @t829 @t23)) (=> @t796 (= @t829 @t830))))) % 18.94/19.18 (assume @p613 (forall @t856 (= (tptp.hAPP @t200 @t854) (tptp.hAPP @t530 (tptp.hAPP (tptp.c_Set_Oimage @t25 @t25 @t847) @t202))))) % 18.94/19.18 (assume @p614 (forall @t567 (=> @t105 (= (tptp.hAPP @t821 @t826) @t749)))) % 18.94/19.18 (assume @p615 (forall @t567 (=> @t105 (= (tptp.hAPP @t963 @t572) @t749)))) % 18.94/19.18 (assume @p616 (forall (@list @t192 @t10) (=> @t127 (= (tptp.hAPP (tptp.hAPP @t440 @t573) @t824) @t444)))) % 18.94/19.18 (assume @p617 (forall @t567 (=> @t105 (= (tptp.hAPP @t963 @t562) @t749)))) % 18.94/19.18 (assume @p618 (forall @t597 (= (tptp.c_Set_Othe__elem @t10 @t873) @t47))) % 18.94/19.18 (assume @p619 (forall (@list @t97 @t2 @t38 @t23 @t47 @t10) (and (=> @t335 (= @t965 (tptp.hAPP (tptp.hAPP @t904 @t97) (tptp.hAPP @t659 @t912)))) (=> @t874 (= @t965 @t660))))) % 18.94/19.18 (assume @p620 (forall @t31 (=> (forall @t434 (=> @t584 (tptp.hBOOL (tptp.hAPP @t585 @t22)))) (=> (not (= @t23 @t753)) @t343)))) % 18.94/19.18 (assume @p621 (forall @t567 (=> @t127 (=> @t969 (=> @t565 (= (tptp.hAPP @t966 @t572) @t577)))))) % 18.94/19.18 (assume @p622 (forall @t443 (=> @t127 (=> @t971 (= (tptp.hAPP @t970 @t824) @t577))))) % 18.94/19.18 (assume @p623 (forall @t567 (=> @t127 (=> @t566 (=> @t973 (= (tptp.hAPP @t582 @t826) @t560)))))) % 18.94/19.18 (assume @p624 (forall @t443 (=> @t127 (=> @t971 (= (tptp.hAPP @t823 @t825) @t560))))) % 18.94/19.18 (assume @p625 (forall @t981 (=> @t980 (=> @t979 (=> (tptp.hBOOL (tptp.hAPP @t978 @t977)) @t975))))) % 18.94/19.18 (assume @p626 (forall @t984 (=> @t983 (=> @t980 (=> @t979 (=> (tptp.hBOOL (tptp.hAPP @t978 (tptp.hAPP @t2 @t982))) @t251)))))) % 18.94/19.18 (assume @p627 (forall @t985 (= (tptp.c_Fun_Ofun__upd @t10 @t38 @t2 @t47 @t49) @t2))) % 18.94/19.18 (assume @p628 (forall @t37 (=> @t36 (not (tptp.hBOOL (tptp.hAPP @t987 @t32)))))) % 18.94/19.18 (assume @p629 (forall @t107 (=> @t127 (= @t992 (or @t991 @t989))))) % 18.94/19.18 (assume @p630 (forall @t107 (=> @t127 (= @t993 (or @t989 @t98))))) % 18.94/19.18 (assume @p631 (forall @t69 (=> @t68 (or @t996 @t76 @t995)))) % 18.94/19.18 (assume @p632 (forall @t106 (=> @t127 (=> (not @t989) @t997)))) % 18.94/19.18 (assume @p633 (forall @t69 (=> @t68 @t1000))) % 18.94/19.18 (assume @p634 (forall @t69 (=> @t74 (=> @t996 @t999)))) % 18.94/19.18 (assume @p635 (forall @t69 (=> @t36 (=> @t996 (not @t995))))) % 18.94/19.18 (assume @p636 (forall @t69 (=> @t74 (=> @t996 (not (= @t64 @t32)))))) % 18.94/19.18 (assume @p637 (forall @t411 (=> @t36 (=> @t1004 (not @t1002))))) % 18.94/19.18 (assume @p638 (forall @t1005 (=> @t74 (=> @t1002 (not @t1004))))) % 18.94/19.18 (assume @p639 (forall @t94 (=> @t93 (=> @t95 (=> @t1007 @t1006))))) % 18.94/19.18 (assume @p640 (forall @t94 (=> @t74 (=> @t95 (=> (tptp.hBOOL (tptp.hAPP @t1008 @t85)) @t1009))))) % 18.94/19.18 (assume @p641 (forall @t94 (=> @t93 (=> @t1004 (=> @t86 @t1006))))) % 18.94/19.18 (assume @p642 (forall @t89 (=> @t74 (=> @t1002 (=> @t86 @t1009))))) % 18.94/19.18 (assume @p643 (forall @t80 (=> @t36 (=> @t996 @t1011)))) % 18.94/19.18 (assume @p644 (forall @t75 (=> @t74 (=> @t995 @t1014)))) % 18.94/19.18 (assume @p645 (forall @t69 (=> @t68 (=> @t998 (=> @t999 @t995))))) % 18.94/19.18 (assume @p646 (forall @t1016 (= (= @t964 @t2) @t1015))) % 18.94/19.18 (assume @p647 (forall @t1017 (= (tptp.c_Fun_Ofun__upd @t10 @t38 @t964 @t47 @t513) (tptp.c_Fun_Ofun__upd @t10 @t38 @t2 @t47 @t513)))) % 18.94/19.18 (assume @p648 (forall @t129 (= (tptp.hAPP @t1018 @t47) @t97))) % 18.94/19.18 (assume @p649 (forall @t1023 (and (=> @t1021 (= @t1020 @t97)) @t1022))) % 18.94/19.18 (assume @p650 (forall (@list @t215 @t216 @t561 @t38 @t10 @t220 @t219) (=> (not @t889) (= (tptp.c_Fun_Ofun__upd @t10 @t38 (tptp.c_Fun_Ofun__upd @t10 @t38 @t561 @t219 @t216) @t220 @t215) (tptp.c_Fun_Ofun__upd @t10 @t38 (tptp.c_Fun_Ofun__upd @t10 @t38 @t561 @t220 @t215) @t219 @t216))))) % 18.94/19.18 (assume @p651 (forall @t1023 @t1022)) % 18.94/19.18 (assume @p652 (forall (@list @t10 @t38 @t97 @t47 @t2) (=> @t1015 (= @t1018 @t2)))) % 18.94/19.18 (assume @p653 (forall @t1025 (=> @t127 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1024 (tptp.hAPP @t133 @t561)) (tptp.hAPP @t133 @t831))) (tptp.hBOOL (tptp.hAPP @t972 @t831)))))) % 18.94/19.18 (assume @p654 (forall (@list @t216 @t2 @t38 @t10 @t219 @t47) (and (=> @t1027 (= @t1026 @t216)) (=> (not @t1027) (= @t1026 @t49))))) % 18.94/19.18 (assume @p655 (forall @t227 (=> @t105 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1024 @t236) @t235)) (and (or @t234 (and @t222 @t218 (or (tptp.hBOOL (tptp.hAPP @t1029 @t219)) (tptp.hBOOL (tptp.hAPP @t1028 @t215))))) @t875))))) % 18.94/19.18 (assume @p656 (forall @t46 (=> @t45 (= @t1030 (and @t44 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t43 @t1) @t2)))))))) % 18.94/19.18 (assume @p657 (forall @t107 (=> @t127 (= @t993 @t104)))) % 18.94/19.18 (assume @p658 (forall @t107 (=> @t127 (= (not @t101) @t989)))) % 18.94/19.18 (assume @p659 (forall @t69 (=> @t68 (or @t67 @t995)))) % 18.94/19.18 (assume @p660 (forall @t107 (=> @t105 (= @t991 (and @t101 @t992))))) % 18.94/19.18 (assume @p661 (forall @t107 (=> (tptp.class_Orderings_Opreorder @t10) (= @t991 (and @t101 (not @t104)))))) % 18.94/19.18 (assume @p662 (forall @t107 (=> @t105 (= @t101 (or @t991 @t98))))) % 18.94/19.18 (assume @p663 (forall @t69 (=> @t68 (=> @t998 @t66)))) % 18.94/19.18 (assume @p664 (forall @t77 (=> @t68 (=> (not @t66) @t996)))) % 18.94/19.18 (assume @p665 (forall @t107 (=> @t127 (=> @t993 @t102)))) % 18.94/19.18 (assume @p666 (forall @t411 (=> @t74 (=> @t1031 (=> @t92 @t1004))))) % 18.94/19.18 (assume @p667 (forall @t411 (=> @t74 (=> @t1031 (=> @t88 @t1002))))) % 18.94/19.18 (assume @p668 (forall @t77 (=> @t68 (=> @t66 @t998)))) % 18.94/19.18 (assume @p669 (forall @t69 (=> @t36 (=> @t996 @t67)))) % 18.94/19.18 (assume @p670 (forall @t107 (=> @t127 (=> @t101 @t997)))) % 18.94/19.18 (assume @p671 (forall @t69 (=> @t74 (=> @t67 (or @t996 @t76))))) % 18.94/19.18 (assume @p672 (forall @t411 (=> @t74 (=> @t92 (=> @t1031 @t1004))))) % 18.94/19.18 (assume @p673 (forall @t1005 (=> @t74 (=> @t88 (=> @t1031 @t1002))))) % 18.94/19.18 (assume @p674 (forall @t80 (=> @t36 (=> @t996 (=> @t79 @t1010))))) % 18.94/19.18 (assume @p675 (forall @t75 (=> @t74 (=> @t995 (=> @t73 @t1013))))) % 18.94/19.18 (assume @p676 (forall @t80 (=> @t36 (=> @t67 @t1011)))) % 18.94/19.18 (assume @p677 (forall @t75 (=> @t74 (=> @t66 @t1014)))) % 18.94/19.18 (assume @p678 (forall @t264 (=> @t1033 @t263))) % 18.94/19.18 (assume @p679 (forall @t51 (not (tptp.hBOOL (tptp.hAPP @t1032 @t749))))) % 18.94/19.18 (assume @p680 (forall @t227 (=> @t425 (=> @t867 (= @t1036 @t1034))))) % 18.94/19.18 (assume @p681 (forall @t512 (=> @t476 (=> @t1038 @t1037)))) % 18.94/19.18 (assume @p682 (forall @t510 (=> @t476 (=> @t1039 @t1037)))) % 18.94/19.18 (assume @p683 (forall @t507 (=> @t624 (=> @t1041 @t1040)))) % 18.94/19.18 (assume @p684 (forall @t667 (=> @t624 (=> @t1042 @t1040)))) % 18.94/19.18 (assume @p685 (forall @t429 (=> @t425 (= (tptp.hBOOL (tptp.hAPP @t1043 @t419)) @t1036)))) % 18.94/19.18 (assume @p686 (forall @t421 (=> @t425 (= @t1045 (tptp.hBOOL (tptp.hAPP @t1043 @t219)))))) % 18.94/19.18 (assume @p687 (forall @t421 (=> @t425 (= (tptp.hBOOL (tptp.hAPP @t1035 @t418)) (tptp.hBOOL (tptp.hAPP @t1028 @t419)))))) % 18.94/19.18 (assume @p688 (forall @t31 (= @t1033 (and @t30 (not @t24))))) % 18.94/19.18 (assume @p689 (forall @t31 (= @t30 (or @t1033 @t24)))) % 18.94/19.18 (assume @p690 (forall @t31 (=> @t1033 @t30))) % 18.94/19.18 (assume @p691 (forall @t63 (=> @t1033 (=> @t62 @t1046)))) % 18.94/19.18 (assume @p692 (forall @t63 (=> @t30 @t1047))) % 18.94/19.18 (assume @p693 (forall @t227 (=> @t127 (=> @t1036 (=> @t1034 (= @t1048 @t890)))))) % 18.94/19.18 (assume @p694 (forall @t227 (=> @t127 (=> @t1048 (=> @t1036 (=> @t1034 @t889)))))) % 18.94/19.18 (assume @p695 (forall @t227 (=> @t127 (=> @t1048 (=> @t1036 (=> @t1034 @t888)))))) % 18.94/19.18 (assume @p696 (forall (@list @t348 @t219 @t10) (=> @t1049 (= (tptp.hBOOL (tptp.hAPP @t1035 (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t348))) (exists @t7 (and @t739 (tptp.hBOOL (tptp.hAPP @t1035 @t3)))))))) % 18.94/19.18 (assume @p697 (forall (@list @t219 @t348 @t10) (=> @t1049 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t348)) @t219)) (exists @t7 (and @t739 (tptp.hBOOL (tptp.hAPP @t1050 @t219)))))))) % 18.94/19.18 (assume @p698 (forall (@list @t2 @t23 @t38 @t219 @t10) (=> @t1049 (= (tptp.hBOOL (tptp.hAPP @t1035 (tptp.hAPP @t155 @t2))) (exists @t7 (and @t194 (tptp.hBOOL (tptp.hAPP @t1035 @t5)))))))) % 18.94/19.18 (assume @p699 (forall (@list @t219 @t2 @t23 @t38 @t10) (=> @t1049 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 (tptp.hAPP @t160 @t2)) @t219)) (exists @t7 (and @t194 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t5) @t219)))))))) % 18.94/19.18 (assume @p700 (forall @t1055 (=> @t157 (=> (tptp.hBOOL (tptp.hAPP @t1052 @t1054)) @t1053)))) % 18.94/19.18 (assume @p701 (forall @t129 (=> @t128 (=> @t126 (= @t1057 @t991))))) % 18.94/19.18 (assume @p702 (forall @t129 (=> @t741 (=> @t126 (=> @t991 @t1057))))) % 18.94/19.18 (assume @p703 (forall (@list @t56 @t118 @t10) (=> @t121 (=> (tptp.hBOOL (tptp.hAPP @t1058 @t119)) (not @t120))))) % 18.94/19.18 (assume @p704 (forall @t1061 (=> @t157 (=> @t1060 (=> @t1059 (= @t23 @t789)))))) % 18.94/19.18 (assume @p705 (forall @t1063 (=> @t157 (=> @t1059 (= @t1051 @t1062))))) % 18.94/19.18 (assume @p706 (forall @t429 (=> @t105 (=> @t1064 @t778)))) % 18.94/19.18 (assume @p707 (forall @t421 (=> @t105 (= (= @t749 @t226) @t1065)))) % 18.94/19.18 (assume @p708 (forall @t421 (=> @t105 (= @t779 @t1065)))) % 18.94/19.18 (assume @p709 (forall @t389 (=> @t388 (= (tptp.hBOOL (tptp.hAPP @t211 @t238)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t207) @t118)))))) % 18.94/19.18 (assume @p710 (forall @t1067 (=> @t105 (= (= @t749 @t781) @t1066)))) % 18.94/19.18 (assume @p711 (forall @t1067 (=> @t105 (= @t782 @t1066)))) % 18.94/19.18 (assume @p712 (forall @t389 (=> @t388 (= (tptp.hBOOL (tptp.hAPP @t211 @t229)) (tptp.hBOOL (tptp.hAPP @t1058 @t207)))))) % 18.94/19.18 (assume @p713 (forall (@list @t2 @t271 @t219 @t10) (=> @t979 (=> (tptp.hBOOL (tptp.hAPP @t978 @t1054)) @t975)))) % 18.94/19.18 (assume @p714 (forall @t1063 (=> @t157 (=> @t1059 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1062) @t1051)))))) % 18.94/19.18 (assume @p715 (forall @t1063 (=> @t157 (=> @t1059 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1051) @t1062)))))) % 18.94/19.18 (assume @p716 (forall (@list @t2 @t1 @t38 @t271 @t219 @t10) (=> @t979 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 @t1069) (tptp.hAPP @t2 @t1069))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 @t1068) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t111 @t2))))))) % 18.94/19.18 (assume @p717 (forall @t981 (=> @t980 (=> @t975 (tptp.hBOOL (tptp.hAPP @t250 @t977)))))) % 18.94/19.18 (assume @p718 (forall @t567 (=> @t127 (=> @t969 (=> @t565 (= (tptp.hAPP @t966 @t562) @t825)))))) % 18.94/19.18 (assume @p719 (forall @t567 (=> @t127 (=> @t566 (=> @t973 (= (tptp.hAPP @t589 @t826) @t825)))))) % 18.94/19.18 (assume @p720 (forall (@list @t271 @t2 @t23 @t10) (=> @t157 (=> @t1060 (=> @t1059 (=> (tptp.hBOOL (tptp.hAPP @t1052 (tptp.hAPP @t2 (tptp.hAPP @t1070 @t23)))) (tptp.hBOOL (tptp.hAPP @t1052 @t23)))))))) % 18.94/19.18 (assume @p721 (forall @t1055 (=> @t157 (=> @t1073 (=> @t1059 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1071) @t1072))))))) % 18.94/19.18 (assume @p722 (forall (@list @t271 @t2 @t10) (=> @t157 (=> @t1059 (=> @t1073 @t1053))))) % 18.94/19.18 (assume @p723 (forall @t443 (=> @t127 (=> @t971 (= (tptp.hAPP @t579 @t825) @t573))))) % 18.94/19.18 (assume @p724 (forall @t443 (=> @t127 (=> @t971 (= (tptp.hAPP @t970 @t574) @t576))))) % 18.94/19.18 (assume @p725 (forall @t915 (= (tptp.hBOOL (tptp.hAPP @t1032 @t883)) (and (=> @t336 @t1033) (=> @t861 (and (=> @t335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1024 @t912) @t22))) @t911)))))) % 18.94/19.18 (assume @p726 (forall @t981 (=> @t980 (=> @t979 (=> @t1078 @t975))))) % 18.94/19.18 (assume @p727 (forall @t984 (=> @t983 (=> @t980 (=> @t979 (=> (tptp.hBOOL (tptp.hAPP @t978 (tptp.hAPP @t2 (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t25 (tptp.hAPP @t1075 @t23))))) @t251)))))) % 18.94/19.18 (assume @p728 (forall @t1055 (=> @t1078 (=> @t980 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t1076) @t1077)))))) % 18.94/19.18 (assume @p729 (forall (@list @t271 @t10) (= (tptp.c_Set_Othe__elem @t10 @t271) (tptp.c_HOL_OThe @t10 (tptp.hAPP (tptp.hAPP @t1079 (tptp.hAPP tptp.c_fequal @t271)) @t952))))) % 18.94/19.18 (assume @p730 (forall @t1081 (=> @t335 (=> (tptp.c_Nitpick_Ofold__graph_H @t10 @t38 @t2 @t513 @t912 @t97) (tptp.c_Nitpick_Ofold__graph_H @t10 @t38 @t2 @t513 @t23 @t1080))))) % 18.94/19.18 (assume @p731 (forall (@list @t1082 @t47 @t10) (=> (not (tptp.hBOOL (tptp.hAPP @t374 @t1082))) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t786 @t1083)) (forall @t312 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t309) @t1083)) (=> @t764 (= (tptp.hAPP @t785 @t309) @t749)))))) (= (tptp.hAPP (tptp.hAPP @t601 @t47) (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t1082)) @t749))))) % 18.94/19.18 (assume @p732 (forall (@list @t56 @t2 @t23 @t10) (=> @t157 (=> (= @t23 @t1084) (=> @t1059 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t2 (tptp.hAPP @t817 @t56))) @t56)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t23) @t56)))))))) % 18.94/19.18 (assume @p733 (forall (@list @t56 @t2 @t10) (=> @t157 (=> @t1059 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t616 @t1084) @t56))) @t56)) (tptp.hBOOL (tptp.hAPP @t1085 @t56))))))) % 18.94/19.18 (assume @p734 (forall @t652 (= @t1089 (and @t1088 @t1087 (= (tptp.hAPP (tptp.hAPP @t649 @t1086) (tptp.hAPP @t659 @t898)) @t758))))) % 18.94/19.18 (assume @p735 (forall @t1090 (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t749))) % 18.94/19.18 (assume @p736 (forall @t51 (=> @t425 (tptp.c_Fun_Oinj__on @t10 @t10 @t390 @t23)))) % 18.94/19.18 (assume @p737 (forall @t63 (=> @t1033 @t1047))) % 18.94/19.18 (assume @p738 (forall (@list @t150 @t2 @t38 @t10) (=> @t1092 (tptp.c_Fun_Oinj__on @t10 @t1091 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t38 @t1091 @t10) (tptp.c_COMBK @t38 @t150)) @t2) @t600)))) % 18.94/19.18 (assume @p739 (forall @t760 (= @t1088 (forall @t7 (=> @t326 (forall @t312 (=> @t1094 (=> (= @t5 @t1093) @t763)))))))) % 18.94/19.18 (assume @p740 (forall @t51 (tptp.c_Fun_Oinj__on @t10 @t10 @t744 @t23))) % 18.94/19.18 (assume @p741 (forall (@list @t909 @t10) (=> @t157 (= (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t10 (tptp.hAPP (tptp.c_COMBK @t10 @t10) @t909)) @t909)))) % 18.94/19.18 (assume @p742 (forall @t1096 (=> @t1088 (=> @t992 (=> @t335 (=> @t333 @t1095)))))) % 18.94/19.18 (assume @p743 (forall @t1096 (=> @t1088 (=> @t335 (=> @t333 @t176))))) % 18.94/19.18 (assume @p744 (forall @t1096 (=> @t1088 (=> @t175 (=> @t335 (=> @t333 @t98)))))) % 18.94/19.18 (assume @p745 (forall @t1097 (=> @t1087 (=> @t30 @t1088)))) % 18.94/19.18 (assume @p746 (forall @t1016 (=> @t1092 (=> @t175 @t98)))) % 18.94/19.18 (assume @p747 (forall @t1016 (=> @t1092 @t176))) % 18.94/19.18 (assume @p748 (forall @t1097 (=> @t1087 (=> @t1033 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t111) @t660) @t673)))))) % 18.94/19.18 (assume @p749 (forall @t652 (=> @t1088 (=> @t1087 (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t603))))) % 18.94/19.18 (assume @p750 (forall @t652 (=> @t1088 (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t845)))) % 18.94/19.18 (assume @p751 (forall (@list @t1098 @t1099 @t38 @t10) (tptp.c_Nitpick_Ofold__graph_H @t10 @t38 @t1099 @t1098 @t749 @t1098))) % 18.94/19.18 (assume @p752 (forall @t1100 (tptp.c_Nitpick_Ofold__graph_H @t10 @t38 @t2 @t513 @t749 @t513))) % 18.94/19.18 (assume @p753 (forall @t734 (=> @t128 (=> @t126 @t1088)))) % 18.94/19.18 (assume @p754 (forall @t1101 (=> @t157 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t789) @t23)) (tptp.hBOOL (tptp.hAPP @t1085 @t23)))))) % 18.94/19.18 (assume @p755 (forall @t652 (=> @t1092 @t1102))) % 18.94/19.18 (assume @p756 (forall @t652 (=> @t1089 @t1102))) % 18.94/19.18 (assume @p757 (forall @t1063 (=> @t157 (=> @t1059 (= @t1084 @t1103))))) % 18.94/19.18 (assume @p758 (forall (@list @t2 @t1104 @t10) (=> @t157 (=> (= @t1104 @t1084) (=> @t1059 (= @t1104 (tptp.hAPP @t2 @t1104))))))) % 18.94/19.18 (assume @p759 (forall (@list @t216 @t2 @t38 @t10) (=> @t1092 (= (tptp.hBOOL (tptp.hAPP @t282 @t1107)) (exists @t7 (and @t747 (forall @t199 (=> (= @t216 @t1106) @t1105)))))))) % 18.94/19.18 (assume @p760 (forall @t1109 (=> @t1092 (= (tptp.hBOOL (tptp.hAPP @t1108 @t660)) @t251)))) % 18.94/19.18 (assume @p761 (forall @t652 (=> @t1092 (= @t675 @t30)))) % 18.94/19.18 (assume @p762 (forall @t1112 (=> @t1111 (=> @t61 (=> @t62 @t1110))))) % 18.94/19.18 (assume @p763 (forall @t652 (=> @t1092 @t1110))) % 18.94/19.18 (assume @p764 (forall @t1112 (=> @t1111 (=> @t61 (=> @t62 @t1113))))) % 18.94/19.18 (assume @p765 (forall @t652 (=> @t1092 @t1113))) % 18.94/19.18 (assume @p766 (forall (@list @t47 @t97 @t23 @t2 @t38 @t10) (=> @t1088 (=> (not @t1115) (tptp.c_Fun_Oinj__on @t10 @t38 @t964 @t23))))) % 18.94/19.18 (assume @p767 (forall @t658 (tptp.c_Fun_Oinj__on @t10 @t25 @t952 @t600))) % 18.94/19.18 (assume @p768 (forall @t1063 (=> @t157 (=> @t1059 (tptp.hBOOL (tptp.hAPP @t1085 @t1103)))))) % 18.94/19.18 (assume @p769 (forall @t1063 (=> @t157 (=> @t1059 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1103) @t1084)))))) % 18.94/19.18 (assume @p770 (forall @t760 (=> @t1092 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 @t1117) @t1116))))) % 18.94/19.18 (assume @p771 (forall @t1109 (= (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t854) (and @t1088 (not (tptp.hBOOL (tptp.hAPP @t1108 (tptp.hAPP @t659 @t853)))))))) % 18.94/19.18 (assume @p772 (forall (@list @t1118 @t38 @t10 @t23) (=> @t756 (= (exists @t736 (and @t1121 (tptp.hBOOL (tptp.hAPP @t1120 @t1118)))) (exists (@list @t1119) (= (tptp.hAPP (tptp.c_Set_Oimage @t38 @t10 @t1119) @t1118) @t23)))))) % 18.94/19.18 (assume @p773 (forall @t172 (= (tptp.c_Enum_Oenum__the @t10 @t56) @t1122))) % 18.94/19.18 (assume @p774 (forall @t385 (and (=> @t1124 (= @t1123 @t216)) (=> (not @t1124) (= @t1123 (tptp.c_HOL_OThe @t10 (tptp.hAPP @t363 (tptp.hAPP @t844 @t886)))))))) % 18.94/19.18 (assume @p775 (forall (@list @t1129 @t1099 @t1098 @t1127 @t1128 @t38 @t10) (= (tptp.c_Nitpick_Ofold__graph_H @t10 @t38 @t1128 @t1127 @t1098 @t1130) (or (and @t1132 (= @t1130 @t1127)) (exists @t1131 (and (= @t1130 (tptp.hAPP (tptp.hAPP @t1128 @t3) @t195)) (tptp.hBOOL (tptp.hAPP @t317 @t1098)) (tptp.c_Nitpick_Ofold__graph_H @t10 @t38 @t1128 @t1127 (tptp.hAPP (tptp.hAPP @t843 @t1098) @t1126) @t195))))))) % 18.94/19.18 (assume @p776 (forall (@list @t1135 @t22 @t23 @t150 @t60 @t2 @t38 @t10) (=> @t1111 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1136 @t3) @t23)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t310) @t60)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1136 @t1135) @t23)) @t1134))))) % 18.94/19.18 (assume @p777 (forall (@list @t22 @t47 @t23 @t2 @t38 @t10) (=> @t1088 (=> @t1139 (=> @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t1138) @t22))))))) % 18.94/19.18 (assume @p778 (forall @t1145 (=> @t1092 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t1144) (tptp.hAPP (tptp.hAPP @t822 (tptp.c_HOL_OThe @t10 (tptp.hAPP @t1142 @t219))) @t749)))))) % 18.94/19.18 (assume @p779 (forall (@list @t2 @t38 @t10 @t348) (=> (not (= @t348 @t753)) (=> (forall @t1147 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t1146) @t348)) (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t1146))) (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t373))))) % 18.94/19.18 (assume @p780 (forall (@list @t38 @t22 @t10 @t216 @t219 @t2) (=> @t1150 (=> (tptp.hBOOL (tptp.hAPP @t287 @t22)) (tptp.hBOOL (tptp.hAPP @t289 @t1149)))))) % 18.94/19.18 (assume @p781 (forall @t745 (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t10 @t744) @t743) @t743))) % 18.94/19.18 (assume @p782 (forall @t1152 (= (tptp.hBOOL (tptp.hAPP @t1151 @t47)) (tptp.hBOOL (tptp.hAPP @t23 @t49))))) % 18.94/19.18 (assume @p783 (forall (@list @t22 @t2 @t38 @t219 @t10) (= (tptp.hBOOL (tptp.hAPP @t250 @t1153)) (tptp.hBOOL (tptp.hAPP @t1108 @t22))))) % 18.94/19.18 (assume @p784 (forall (@list @t23 @t2 @t38 @t219 @t10) (=> (tptp.hBOOL (tptp.hAPP @t250 @t1151)) (tptp.hBOOL (tptp.hAPP @t1108 @t23))))) % 18.94/19.18 (assume @p785 (forall (@list @t38 @t23 @t219 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t903) @t23)) (tptp.hBOOL (tptp.hAPP @t289 @t1154))))) % 18.94/19.18 (assume @p786 (forall @t1090 (= (tptp.hAPP @t1143 @t758) @t749))) % 18.94/19.18 (assume @p787 (forall @t676 (=> @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 @t1154) @t1149))))) % 18.94/19.18 (assume @p788 (forall @t1090 (= (tptp.hAPP @t1143 @t612) @t600))) % 18.94/19.18 (assume @p789 (forall @t652 (= (tptp.hAPP @t1143 @t541) (tptp.hAPP (tptp.hAPP @t440 @t1151) @t1153)))) % 18.94/19.18 (assume @p790 (forall @t652 (= (tptp.hAPP @t1143 @t651) (tptp.hAPP (tptp.hAPP @t601 @t1151) @t1153)))) % 18.94/19.18 (assume @p791 (forall @t652 (= (tptp.hAPP @t1143 @t932) (tptp.hAPP (tptp.hAPP @t843 @t1151) @t1153)))) % 18.94/19.18 (assume @p792 (forall @t760 (= (tptp.hAPP @t1143 @t732) (tptp.hAPP @t230 @t1151)))) % 18.94/19.18 (assume @p793 (forall @t1156 (= (tptp.hAPP @t1143 @t305) (tptp.hAPP @t304 @t1155)))) % 18.94/19.18 (assume @p794 (forall @t1156 (= (tptp.hAPP @t1143 @t1157) (tptp.hAPP @t308 @t1155)))) % 18.94/19.18 (assume @p795 (forall @t760 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t1158) @t23)))) % 18.94/19.18 (assume @p796 (forall @t734 (=> @t733 (= @t1158 @t23)))) % 18.94/19.18 (assume @p797 (forall @t760 (= (tptp.hAPP @t1143 @t352) (tptp.hAPP @t359 @t1143)))) % 18.94/19.18 (assume @p798 (forall (@list @t216 @t2 @t38 @t219 @t10) (= (tptp.hBOOL (tptp.hAPP @t250 (tptp.hAPP @t1143 (tptp.hAPP @t1159 @t758)))) @t1150))) % 18.94/19.18 (assume @p799 (forall (@list @t22 @t219 @t2 @t38 @t10) (= (tptp.hAPP @t1143 @t906) (tptp.hAPP (tptp.hAPP @t440 @t1144) @t1153)))) % 18.94/19.18 (assume @p800 (forall (@list @t23 @t22 @t2 @t10 @t38) (=> @t733 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 @t1149) @t23)) @t678)))) % 18.94/19.18 (assume @p801 (forall @t734 (= @t1158 (tptp.hAPP @t602 @t613)))) % 18.94/19.18 (assume @p802 (forall @t760 (=> @t1092 (= (tptp.hAPP @t1143 @t660) @t23)))) % 18.94/19.18 (assume @p803 (forall (@list @t38 @t23 @t220 @t10) (and (=> @t245 (= @t1162 @t612)) (=> @t246 (= @t1162 @t758))))) % 18.94/19.18 (assume @p804 (forall @t1165 (= @t1153 (tptp.hAPP @t538 (tptp.hAPP (tptp.hAPP @t1164 @t1143) @t1163))))) % 18.94/19.18 (assume @p805 (forall @t1152 (=> @t1088 (=> @t335 (= (tptp.hAPP @t1137 @t49) @t47))))) % 18.94/19.18 (assume @p806 (forall @t1096 (=> @t1088 (=> @t1015 (=> @t335 (= @t1166 @t47)))))) % 18.94/19.18 (assume @p807 (forall @t985 (=> @t1092 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t10 @t38 @t600 @t2) @t49) @t47)))) % 18.94/19.18 (assume @p808 (forall @t760 (=> @t1088 (= (tptp.hAPP (tptp.c_Set_Oimage @t38 @t10 @t1137) @t660) @t23)))) % 18.94/19.18 (assume @p809 (forall @t760 (=> @t1088 (tptp.c_Fun_Oinj__on @t38 @t10 @t1137 @t660)))) % 18.94/19.18 (assume @p810 (forall @t1097 (=> @t1092 (=> @t1169 @t1167)))) % 18.94/19.18 (assume @p811 (forall @t1177 (= @t1138 (tptp.c_HOL_OThe @t10 @t1176)))) % 18.94/19.18 (assume @p812 (forall (@list @t22 @t38 @t215 @t23 @t220 @t10) (and (=> @t245 (and (=> @t1185 (= @t1184 @t612)) (=> @t1186 (= @t1184 @t22)))) (=> @t246 (and (=> @t1185 (= @t1184 (tptp.hAPP @t731 @t22))) (=> @t1186 (= @t1184 @t758))))))) % 18.94/19.18 (assume @p813 (forall (@list @t97 @t23 @t2 @t38 @t10) (=> @t1088 (=> @t1115 (= (tptp.hAPP @t2 @t1166) @t97))))) % 18.94/19.18 (assume @p814 (forall @t46 (=> @t117 (= @t1030 (and @t44 (tptp.hBOOL (tptp.hAPP @t1189 (tptp.hAPP @t1188 (tptp.hAPP (tptp.hAPP @t113 @t1140) @t1))))))))) % 18.94/19.18 (assume @p815 (forall (@list @t23 @t2 @t150 @t38 @t10 @t178) (=> (not (= @t178 @t749)) (=> (forall @t456 (=> (tptp.hBOOL (tptp.hAPP @t454 @t178)) (tptp.c_Fun_Oinj__on @t38 @t150 @t2 (tptp.hAPP @t23 @t452)))) (tptp.c_Fun_Oinj__on @t38 @t150 @t2 @t720))))) % 18.94/19.18 (assume @p816 (forall @t658 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t25 @t1190))) % 18.94/19.18 (assume @p817 (forall @t751 (= (tptp.c_HOL_OThe @t10 @t1193) @t219))) % 18.94/19.18 (assume @p818 (forall @t597 (= (tptp.c_HOL_OThe @t10 @t1194) @t47))) % 18.94/19.18 (assume @p819 (forall @t1196 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t38 @t2 @t513 @t912) @t97)) (=> @t335 (tptp.hBOOL (tptp.hAPP @t1195 @t1080)))))) % 18.94/19.18 (assume @p820 (forall (@list @t2 @t38 @t216 @t10) (=> @t615 (not (forall @t7 (not @t747)))))) % 18.94/19.18 (assume @p821 (forall @t1201 (= (tptp.c_Partial__Function_Omk__less @t10 @t361 @t47 @t97) (and @t1200 (not @t1198))))) % 18.94/19.18 (assume @p822 (forall @t172 (=> @t115 (= @t174 @t1202)))) % 18.94/19.18 (assume @p823 (forall @t172 (=> @t115 (= @t1202 @t174)))) % 18.94/19.18 (assume @p824 (forall (@list @t513 @t47 @t2 @t38 @t10) (=> @t1204 (= (tptp.hAPP @t49 @t1203) @t1203)))) % 18.94/19.18 (assume @p825 (forall @t1207 (=> @t1204 (tptp.c_Finite__Set_Ofun__left__comm__idem @t150 @t38 @t1206)))) % 18.94/19.18 (assume @p826 (forall @t1100 (tptp.hBOOL (tptp.hAPP @t1208 @t513)))) % 18.94/19.18 (assume @p827 (forall (@list @t47 @t513 @t2 @t38 @t10) (=> (tptp.hBOOL (tptp.hAPP @t1208 @t47)) @t1209))) % 18.94/19.18 (assume @p828 (forall @t658 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t25 @t822))) % 18.94/19.18 (assume @p829 (forall @t658 (=> @t519 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t466)))) % 18.94/19.18 (assume @p830 (forall @t658 (=> @t669 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t616)))) % 18.94/19.18 (assume @p831 (forall @t1081 (=> @t874 (=> @t1211 (tptp.hBOOL (tptp.hAPP @t1210 @t1080)))))) % 18.94/19.18 (assume @p832 (forall (@list @t47 @t23 @t219 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t2 @t219 @t23) @t47)) (=> @t252 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t854) @t47)))))) % 18.94/19.18 (assume @p833 (forall (@list @t219 @t47 @t23 @t216 @t10) (=> @t1215 (=> (tptp.hBOOL (tptp.hAPP @t1214 @t47)) (=> @t251 (=> @t1213 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t1212 @t219 (tptp.hAPP @t833 @t853)) @t47)))))))) % 18.94/19.18 (assume @p834 (forall @t1097 (=> @t1216 (= @t1167 @t1169)))) % 18.94/19.18 (assume @p835 (forall @t31 (=> @t1033 (exists @t1220 @t1219)))) % 18.94/19.18 (assume @p836 (forall @t1226 (=> @t1225 (=> @t1224 (=> @t1223 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t150 @t38 @t23 @t1222) @t47) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t150 @t38 (tptp.c_Fun_Othe__inv__into @t150 @t10 @t23 @t1)) (tptp.c_Fun_Othe__inv__into @t10 @t38 @t1221 @t2)) @t47))))))) % 18.94/19.18 (assume @p837 (forall @t1230 (and @t1229 @t1228))) % 18.94/19.18 (assume @p838 (forall (@list @t97 @t38 @t1 @t2 @t348 @t10) (=> (forall (@list @t1231) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t1231) @t348)) (= (tptp.hAPP @t2 @t1231) (tptp.hAPP @t1 @t1231)))) (= (tptp.hAPP (tptp.hAPP @t601 (tptp.hAPP @t1143 @t97)) @t348) (tptp.hAPP (tptp.hAPP @t601 (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t38 @t1) @t97)) @t348))))) % 18.94/19.18 (assume @p839 (forall @t1233 (=> @t1232 (= (tptp.hAPP @t1082 @t873) @t47)))) % 18.94/19.18 (assume @p840 (forall (@list @t47 @t2 @t220 @t150 @t10 @t38) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t10 @t150 @t1161) @t2) @t47) @t220))) % 18.94/19.18 (assume @p841 (forall @t1238 (=> (= @t1237 @t220) @t1236))) % 18.94/19.18 (assume @p842 (forall @t424 (=> @t1242 (= @t1241 @t81)))) % 18.94/19.18 (assume @p843 (forall @t37 (=> @t1242 (= @t1244 @t32)))) % 18.94/19.18 (assume @p844 (forall @t411 (=> @t1242 (= (tptp.hAPP @t1240 @t1245) @t1245)))) % 18.94/19.18 (assume @p845 (forall @t94 (=> (tptp.class_Groups_Oab__semigroup__mult @t33) (= (tptp.hAPP (tptp.hAPP @t1239 @t1245) @t82) (tptp.hAPP @t1240 @t1247))))) % 18.94/19.18 (assume @p846 (forall (@list @t47 @t1 @t2 @t150 @t10 @t38) (= @t1250 @t1248))) % 18.94/19.18 (assume @p847 (forall (@list @t1104 @t1 @t1251 @t2 @t10 @t38 @t150) (= (tptp.hAPP @t1253 (tptp.hAPP (tptp.c_Fun_Ocomp @t1251 @t150 @t10 @t1) @t1104)) (tptp.hAPP (tptp.c_Fun_Ocomp @t1251 @t38 @t10 @t1252) @t1104)))) % 18.94/19.18 (assume @p848 (forall (@list @t1234 @t215 @t220 @t1251 @t216 @t219 @t10 @t38 @t150) (=> @t1254 (= @t1235 (tptp.hAPP @t220 (tptp.hAPP @t215 @t1234)))))) % 18.94/19.18 (assume @p849 (forall (@list @t215 @t220 @t1251 @t216 @t219 @t10 @t38 @t150) (=> @t1254 (forall (@list @t1255) (= (tptp.hAPP @t219 (tptp.hAPP @t216 @t1255)) (tptp.hAPP @t220 (tptp.hAPP @t215 @t1255))))))) % 18.94/19.18 (assume @p850 (forall (@list @t1256 @t1257 @t150 @t1118 @t23 @t2 @t38 @t10) (=> @t1259 (= (tptp.c_Fun_Obij__betw @t38 @t150 @t1257 @t1118 @t1256) (tptp.c_Fun_Obij__betw @t10 @t150 @t1258 @t23 @t1256))))) % 18.94/19.18 (assume @p851 (forall (@list @t60 @t1 @t150 @t22 @t23 @t2 @t38 @t10) (=> @t1262 (=> (tptp.c_Fun_Obij__betw @t38 @t150 @t1 @t22 @t60) (tptp.c_Fun_Obij__betw @t10 @t150 @t1261 @t23 @t60))))) % 18.94/19.18 (assume @p852 (forall @t1207 (=> @t1216 (=> (tptp.c_Fun_Obij__betw @t38 @t150 @t1 @t612 @t1263) (tptp.c_Fun_Obij__betw @t10 @t150 @t1261 @t600 @t1263))))) % 18.94/19.18 (assume @p853 (forall (@list @t23 @t2 @t150 @t1256 @t1118 @t1257 @t38 @t10) (=> (tptp.c_Fun_Obij__betw @t10 @t38 @t1257 @t1118 @t1256) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t1264) @t1118)) (= (tptp.c_Fun_Obij__betw @t150 @t10 @t2 @t23 @t1118) (tptp.c_Fun_Obij__betw @t150 @t38 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t38 @t150 @t1257) @t2) @t23 @t1256)))))) % 18.94/19.18 (assume @p854 (forall (@list @t124 @t1 @t2 @t150 @t10 @t38) (= (tptp.hAPP (tptp.c_Set_Oimage @t38 @t10 (tptp.hAPP (tptp.c_Fun_Ocomp @t150 @t10 @t38 @t2) @t1)) @t124) (tptp.hAPP @t643 (tptp.hAPP @t642 @t124))))) % 18.94/19.18 (assume @p855 (forall (@list @t23 @t2 @t1257 @t150 @t38 @t10) (=> (tptp.c_Fun_Oinj__on @t10 @t38 (tptp.hAPP (tptp.c_Fun_Ocomp @t150 @t38 @t10 @t1257) @t2) @t23) (tptp.c_Fun_Oinj__on @t10 @t150 @t2 @t23)))) % 18.94/19.18 (assume @p856 (forall @t760 (=> (tptp.c_Fun_Obij__betw @t10 @t38 @t2 @t23 @t758) @t754))) % 18.94/19.18 (assume @p857 (forall @t760 (=> (tptp.c_Fun_Obij__betw @t10 @t38 @t2 @t749 @t23) @t759))) % 18.94/19.18 (assume @p858 (forall (@list @t97 @t47 @t1 @t2 @t10 @t38 @t150) (= (tptp.hAPP @t1253 (tptp.c_Fun_Ofun__upd @t10 @t150 @t1 @t47 @t97)) (tptp.c_Fun_Ofun__upd @t10 @t38 @t1265 @t47 @t123)))) % 18.94/19.18 (assume @p859 (forall (@list @t47 @t2 @t1 @t150 @t38 @t10) (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t38 @t1266) @t47) (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t150 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t150 @t38 @t1) @t47))))) % 18.94/19.18 (assume @p860 (forall @t652 (=> @t1262 @t1088))) % 18.94/19.18 (assume @p861 (forall @t985 (=> @t1204 @t1268))) % 18.94/19.18 (assume @p862 (forall @t652 (=> @t1262 (tptp.c_Fun_Obij__betw @t38 @t10 @t1137 @t22 @t23)))) % 18.94/19.18 (assume @p863 (forall @t658 (=> @t1269 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t1212)))) % 18.94/19.18 (assume @p864 (forall (@list @t1 @t150 @t2 @t10 @t38) (=> @t733 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t150 @t1) @t600) @t1263) (= (tptp.hAPP (tptp.c_Set_Oimage @t38 @t150 (tptp.hAPP @t1270 @t2)) @t612) @t1263))))) % 18.94/19.18 (assume @p865 (forall (@list @t2 @t1 @t150 @t23 @t10 @t38) (= (tptp.hAPP @t315 (tptp.hAPP (tptp.c_Fun_Ocomp @t150 @t25 @t38 @t1) @t2)) (tptp.hAPP @t699 @t1)))) % 18.94/19.18 (assume @p866 (forall @t1207 (=> @t1092 (=> (tptp.c_Fun_Oinj__on @t150 @t10 @t1 @t1263) (tptp.c_Fun_Oinj__on @t150 @t38 @t1222 @t1263))))) % 18.94/19.18 (assume @p867 (forall (@list @t23 @t2 @t1 @t150 @t38 @t10) (=> (tptp.c_Fun_Oinj__on @t10 @t38 @t1266 @t23) (tptp.c_Fun_Oinj__on @t150 @t38 @t1 (tptp.hAPP @t1271 @t23))))) % 18.94/19.18 (assume @p868 (forall (@list @t1 @t150 @t23 @t2 @t38 @t10) (=> @t1088 (=> (tptp.c_Fun_Oinj__on @t38 @t150 @t1 @t660) (tptp.c_Fun_Oinj__on @t10 @t150 @t1261 @t23))))) % 18.94/19.18 (assume @p869 (forall (@list @t1257 @t150 @t23 @t2 @t38 @t10) (=> @t1088 (= (tptp.c_Fun_Oinj__on @t38 @t150 @t1257 @t660) (tptp.c_Fun_Oinj__on @t10 @t150 @t1258 @t23))))) % 18.94/19.18 (assume @p870 (forall (@list @t1272 @t22 @t1118 @t23 @t2 @t38 @t10) (=> @t1259 (=> @t28 (=> (= @t673 @t1272) @t1273))))) % 18.94/19.18 (assume @p871 (forall @t760 (=> (tptp.c_Fun_Obij__betw @t10 @t38 @t2 @t23 @t612) @t1274))) % 18.94/19.18 (assume @p872 (forall @t1090 (=> @t1216 @t1274))) % 18.94/19.18 (assume @p873 (forall @t1090 (=> @t1216 @t1092))) % 18.94/19.18 (assume @p874 (forall @t760 (=> @t1088 (tptp.c_Fun_Obij__betw @t10 @t38 @t2 @t23 @t660)))) % 18.94/19.18 (assume @p875 (forall @t652 (= @t1262 (and @t1088 (= @t660 @t22))))) % 18.94/19.18 (assume @p876 (forall (@list @t47 @t23 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP @t1275 @t47)) @t756))) % 18.94/19.18 (assume @p877 (forall (@list @t47 @t2 @t10) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t749) @t47))))) % 18.94/19.18 (assume @p878 (forall (@list @t523 @t60 @t22 @t23 @t2 @t38 @t10) (=> @t1262 (=> (tptp.c_Fun_Obij__betw @t10 @t38 @t2 @t60 @t523) (=> (= (tptp.hAPP (tptp.hAPP @t649 @t22) @t523) @t758) (tptp.c_Fun_Obij__betw @t10 @t38 @t2 @t494 (tptp.hAPP (tptp.hAPP @t539 @t22) @t523))))))) % 18.94/19.18 (assume @p879 (forall (@list @t2 @t1272 @t1118 @t38 @t22 @t23 @t10) (=> @t765 (=> (= (tptp.hAPP (tptp.hAPP @t649 @t1118) @t1272) @t758) (=> @t1259 (=> @t1273 (tptp.c_Fun_Obij__betw @t10 @t38 @t2 @t458 (tptp.hAPP (tptp.hAPP @t539 @t1118) @t1272)))))))) % 18.94/19.18 (assume @p880 (forall @t1090 (= @t1216 (and @t1092 @t1274)))) % 18.94/19.18 (assume @p881 (forall @t1090 (=> @t1092 (=> @t1274 @t1216)))) % 18.94/19.18 (assume @p882 (forall @t1230 @t1229)) % 18.94/19.18 (assume @p883 (forall @t1230 @t1228)) % 18.94/19.18 (assume @p884 (forall @t760 (=> @t1216 (= @t1117 @t1116)))) % 18.94/19.18 (assume @p885 (forall @t1276 (= (tptp.c_Fun_Ooverride__on @t10 @t38 @t2 @t1 @t749) @t2))) % 18.94/19.18 (assume @p886 (forall (@list @t513 @t97 @t23 @t216 @t10) (=> @t1215 (=> (tptp.hBOOL (tptp.hAPP @t1214 @t97)) (=> @t1213 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t1212 @t513 @t840) (tptp.hAPP @t1277 @t97)))))))) % 18.94/19.18 (assume @p887 (forall @t1156 (=> @t1216 @t1134))) % 18.94/19.18 (assume @p888 (forall (@list @t216 @t219 @t2 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t848) @t216)) @t330))) % 18.94/19.18 (assume @p889 (forall @t411 (=> @t1280 (= @t1279 @t1278)))) % 18.94/19.18 (assume @p890 (forall @t411 (=> @t1280 (= @t1279 @t1282)))) % 18.94/19.18 (assume @p891 (forall @t411 (=> @t1280 (= @t1282 @t1278)))) % 18.94/19.18 (assume @p892 (forall @t411 (=> @t1280 (= (tptp.hAPP @t1281 @t409) @t1245)))) % 18.94/19.18 (assume @p893 (forall @t421 (=> @t1285 (= (= (tptp.hAPP @t1284 @t219) (tptp.hAPP @t1283 @t216)) (or @t330 @t422))))) % 18.94/19.18 (assume @p894 (forall @t1293 (=> @t1232 (=> @t1292 (=> @t335 (and (=> @t1289 (= @t1288 @t47)) (=> @t1290 (= @t1288 @t1287)))))))) % 18.94/19.18 (assume @p895 (forall (@list @t1128 @t1098 @t1099 @t2 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t1301) @t1128)) (exists @t1302 (and (= @t1301 @t1299) (tptp.hBOOL (tptp.hAPP @t1297 @t1128)) (not @t1296)))))) % 18.94/19.18 (assume @p896 (forall (@list @t47 @t271 @t219 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t1303) @t47)) (not (forall @t1302 (=> (= @t1303 @t1299) (=> (tptp.hBOOL (tptp.hAPP @t1297 @t47)) @t1296))))))) % 18.94/19.18 (assume @p897 (forall @t658 (tptp.hBOOL (tptp.hAPP @t1291 @t749)))) % 18.94/19.18 (assume @p898 (forall @t1305 (=> @t1292 @t1304))) % 18.94/19.18 (assume @p899 (forall @t1309 (=> @t1308 (tptp.hBOOL (tptp.hAPP @t1307 (tptp.hAPP @t1306 @t1082)))))) % 18.94/19.18 (assume @p900 (forall @t1311 (=> (or @t1308 @t1310) (tptp.hBOOL (tptp.hAPP @t1291 (tptp.hAPP (tptp.hAPP @t601 @t1082) @t9)))))) % 18.94/19.18 (assume @p901 (forall @t31 (=> @t1292 @t1312))) % 18.94/19.18 (assume @p902 (forall @t1314 (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t786 @t190)) @t1313)) (tptp.hBOOL (tptp.hAPP @t1291 (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t190)))))) % 18.94/19.18 (assume @p903 (forall (@list @t23 @t38 @t178 @t10) (=> (exists @t7 (and @t1316 @t1315)) (tptp.hBOOL (tptp.hAPP @t1307 @t720))))) % 18.94/19.18 (assume @p904 (forall @t51 (= (tptp.hBOOL (tptp.hAPP @t1317 @t202)) @t1292))) % 18.94/19.18 (assume @p905 (forall @t51 (=> @t1318 @t1292))) % 18.94/19.18 (assume @p906 (forall @t51 (=> @t1320 @t1319))) % 18.94/19.18 (assume @p907 (forall @t1327 (=> @t1326 (=> @t1325 (tptp.hBOOL (tptp.hAPP @t1324 @t1323)))))) % 18.94/19.18 (assume @p908 (forall @t1327 (= (tptp.hBOOL (tptp.hAPP @t1331 @t1330)) (and @t1326 @t1325)))) % 18.94/19.18 (assume @p909 (forall @t658 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t1332) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t1332 tptp.tc_HOL_Obool)))) @t1326))) % 18.94/19.18 (assume @p910 (forall @t856 (= @t1304 @t1292))) % 18.94/19.18 (assume @p911 (forall @t1327 (=> @t1334 @t1325))) % 18.94/19.18 (assume @p912 (forall @t31 (=> @t30 (=> @t1335 @t1292)))) % 18.94/19.18 (assume @p913 (forall @t206 (=> @t1335 (=> @t30 @t1292)))) % 18.94/19.18 (assume @p914 (forall @t658 (=> @t1318 @t1326))) % 18.94/19.18 (assume @p915 (forall @t1311 (= @t1336 (and @t1308 @t1310)))) % 18.94/19.18 (assume @p916 (forall @t1311 (=> @t1308 (=> @t1310 @t1336)))) % 18.94/19.18 (assume @p917 (forall @t206 (=> @t1335 (= @t1312 @t1292)))) % 18.94/19.18 (assume @p918 (forall @t1339 (=> @t1292 (= @t1338 @t1337)))) % 18.94/19.18 (assume @p919 (forall @t652 (=> @t1262 (= @t1292 @t1340)))) % 18.94/19.18 (assume @p920 (forall (@list @t47 @t23 @t513 @t2 @t38 @t10) (=> @t1341 @t1292))) % 18.94/19.18 (assume @p921 (forall (@list @t2 @t22 @t38 @t23 @t10) (=> @t1292 (=> @t1169 @t1340)))) % 18.94/19.18 (assume @p922 (forall @t852 (= (tptp.hBOOL (tptp.hAPP @t1291 @t851)) @t1312))) % 18.94/19.18 (assume @p923 (forall @t760 (=> (tptp.hBOOL (tptp.hAPP @t1291 @t606)) (=> @t1343 @t1342)))) % 18.94/19.18 (assume @p924 (forall @t51 (=> @t1292 (= (tptp.hBOOL (tptp.hAPP @t1291 @t265)) @t1326)))) % 18.94/19.18 (assume @p925 (forall (@list @t2 @t150 @t1 @t38 @t10) (=> (tptp.hBOOL (tptp.hAPP @t1291 (tptp.hAPP @t1344 @t612))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t150) (tptp.hAPP (tptp.c_Set_Oimage @t38 @t150 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t150 @t38) @t2) @t1)) @t612)))))) % 18.94/19.18 (assume @p926 (forall @t69 (=> @t1345 @t1000))) % 18.94/19.18 (assume @p927 (forall @t1061 (=> @t1292 (=> (tptp.hBOOL (tptp.hAPP @t29 @t1348)) @t1346)))) % 18.94/19.18 (assume @p928 (forall @t1061 (=> @t1292 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t1348) @t23)) (=> @t1346 (= @t1348 @t23)))))) % 18.94/19.18 (assume @p929 (forall @t1063 (=> @t1326 (=> @t1350 @t1349)))) % 18.94/19.18 (assume @p930 (forall @t1063 (=> @t1326 (=> @t1349 @t1350)))) % 18.94/19.18 (assume @p931 (forall @t1353 (=> @t1352 (=> (= (tptp.hAPP @t1306 @t600) @t612) @t1351)))) % 18.94/19.18 (assume @p932 (forall @t1309 (=> @t1308 (=> (tptp.c_Fun_Oinj__on @t38 @t10 @t1104 @t612) (tptp.hBOOL (tptp.hAPP @t1307 (tptp.hAPP (tptp.c_Set_Ovimage @t38 @t10 @t1104) @t1082))))))) % 18.94/19.18 (assume @p933 (forall @t1353 (=> (tptp.c_Fun_Obij__betw @t10 @t38 @t1104 @t600 @t612) (= @t1352 @t1351)))) % 18.94/19.18 (assume @p934 (forall @t1293 (=> @t1232 (=> @t1292 (=> @t874 @t1356))))) % 18.94/19.18 (assume @p935 (forall @t1293 (=> @t1232 (=> @t1292 (and (=> @t1289 (= @t1355 @t47)) (=> @t1290 (= @t1355 @t1287))))))) % 18.94/19.18 (assume @p936 (forall @t1362 (=> @t1232 (=> @t1292 (=> @t1335 (=> @t1361 (= (tptp.hAPP (tptp.hAPP @t2 @t1360) @t1359) @t1358))))))) % 18.94/19.18 (assume @p937 (forall @t1362 (=> @t1232 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (=> @t765 @t1363)))))))) % 18.94/19.18 (assume @p938 (forall @t1367 (=> @t1366 (=> @t1292 (=> @t335 (= @t1288 @t1365)))))) % 18.94/19.18 (assume @p939 (forall @t1371 (=> @t1370 (=> @t1342 (=> @t609 (= @t1288 @t1369)))))) % 18.94/19.18 (assume @p940 (forall (@list @t1 @t1104 @t23 @t1082 @t513 @t2 @t38 @t10) (=> @t1373 (=> @t1342 (=> (tptp.c_Fun_Oinj__on @t38 @t38 @t1104 @t23) (= (tptp.hAPP @t1372 (tptp.hAPP (tptp.c_Set_Oimage @t38 @t38 @t1104) @t23)) (tptp.hAPP (tptp.hAPP @t1082 (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t10 @t38 @t1) @t1104)) @t23))))))) % 18.94/19.18 (assume @p941 (forall @t1377 (=> @t1366 (=> @t1292 (=> @t1335 (=> @t765 @t1376)))))) % 18.94/19.18 (assume @p942 (forall @t1367 (=> @t1366 (=> @t1292 (= @t1355 @t1365))))) % 18.94/19.18 (assume @p943 (forall @t1380 (=> @t1370 (=> @t1342 (=> @t1340 (=> (= @t651 @t758) @t1379)))))) % 18.94/19.18 (assume @p944 (forall @t1371 (=> @t1370 (=> @t1342 (= @t1381 @t1369))))) % 18.94/19.18 (assume @p945 (forall @t376 (=> @t467 (=> @t1292 (=> @t335 (and (=> @t1289 (= @t1383 @t47)) (=> @t1290 (= @t1383 @t1382)))))))) % 18.94/19.18 (assume @p946 (forall (@list @t1104 @t1 @t1384 @t2 @t150 @t1251 @t1385 @t1082 @t1386 @t38 @t10) (=> (tptp.c_Finite__Set_Ofolding @t10 @t38 @t1386 @t1082) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t1385 @t1251 @t150 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t1384 @t1385 @t150 @t1) @t1104)) (tptp.hAPP (tptp.c_Fun_Ocomp @t1384 @t1251 @t150 (tptp.hAPP (tptp.c_Fun_Ocomp @t1385 @t1251 @t1384 @t2) @t1)) @t1104))))) % 18.94/19.18 (assume @p947 (forall (@list @t47 @t97 @t1082 @t2 @t38 @t10) (=> @t1366 (= @t1388 @t1387)))) % 18.94/19.18 (assume @p948 (forall (@list @t1 @t47 @t97 @t150 @t1082 @t2 @t38 @t10) (=> @t1366 (= (tptp.hAPP @t1389 @t1391) (tptp.hAPP @t1390 (tptp.hAPP @t1389 @t1)))))) % 18.94/19.18 (assume @p949 (forall (@list @t1082 @t1 @t513 @t2 @t38 @t10) (=> @t1370 (= (tptp.hAPP @t1082 @t758) @t513)))) % 18.94/19.18 (assume @p950 (forall @t597 (=> @t467 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t873) @t47)))) % 18.94/19.18 (assume @p951 (forall @t1397 (=> @t1373 (=> @t1342 (= (tptp.hAPP (tptp.hAPP @t1082 (tptp.hAPP (tptp.hAPP @t1396 @t1395) @t1104)) @t23) (tptp.hAPP (tptp.hAPP @t2 @t1393) @t1392)))))) % 18.94/19.18 (assume @p952 (forall (@list @t1 @t150 @t22 @t23 @t1082 @t2 @t38 @t10) (=> @t1366 (=> @t1292 (=> @t1335 (= (tptp.hAPP @t1398 @t1400) (tptp.hAPP @t1399 (tptp.hAPP @t1398 @t1)))))))) % 18.94/19.18 (assume @p953 (forall @t1377 (=> @t1366 (=> @t1292 (=> @t1335 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t38 @t38 @t1357) @t1288) @t1375)))))) % 18.94/19.18 (assume @p954 (forall (@list @t1 @t47 @t150 @t23 @t1082 @t2 @t38 @t10) (=> @t1366 (=> @t1292 (= (tptp.hAPP @t1390 @t1400) (tptp.hAPP @t1399 @t1391)))))) % 18.94/19.18 (assume @p955 (forall @t1367 (=> @t1366 (=> @t1292 (= (tptp.hAPP @t1267 @t1288) @t1401))))) % 18.94/19.18 (assume @p956 (forall @t1305 (=> @t467 (=> @t1292 (=> @t251 (= (tptp.hAPP @t937 @t1383) @t219)))))) % 18.94/19.18 (assume @p957 (forall @t376 (=> @t467 (=> @t1292 (=> @t335 (= @t1402 @t1383)))))) % 18.94/19.18 (assume @p958 (forall @t51 (=> @t157 (=> @t1292 (=> @t756 (= @t1383 @t371)))))) % 18.94/19.18 (assume @p959 (forall @t376 (=> @t467 (=> @t1292 @t1404)))) % 18.94/19.18 (assume @p960 (forall @t31 (=> @t467 (=> @t1292 (=> @t1364 (=> @t28 (= (tptp.hAPP (tptp.hAPP @t616 @t1405) @t1383) @t1383))))))) % 18.94/19.18 (assume @p961 (forall @t31 (=> @t467 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 @t1408))))))) % 18.94/19.18 (assume @p962 (forall @t1371 (=> @t1370 (=> @t1342 (=> (not @t609) @t1410))))) % 18.94/19.18 (assume @p963 (forall @t1380 (=> @t1370 (=> @t1342 (=> @t1340 (= (tptp.hAPP (tptp.hAPP @t2 @t1378) (tptp.hAPP @t1082 @t651)) @t1358)))))) % 18.94/19.18 (assume @p964 (forall @t376 (=> @t467 (=> @t1292 (=> @t874 @t1404))))) % 18.94/19.18 (assume @p965 (forall @t376 (=> @t467 (=> @t1292 (and (=> @t1289 (= @t1403 @t47)) (=> @t1290 (= @t1403 @t1382))))))) % 18.94/19.18 (assume @p966 (forall @t31 (=> @t467 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (=> @t765 @t1408)))))))) % 18.94/19.18 (assume @p967 (forall @t31 (=> @t467 (=> @t1292 (=> @t1335 (=> @t1361 (= (tptp.hAPP (tptp.hAPP @t616 @t1407) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t603)) @t1406))))))) % 18.94/19.18 (assume @p968 (forall @t1367 (=> @t1366 (=> @t1292 (=> @t874 @t1411))))) % 18.94/19.18 (assume @p969 (forall @t1377 (=> @t1366 (=> @t1292 (=> @t1335 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t38 @t38 @t1360) @t1359) @t1375)))))) % 18.94/19.18 (assume @p970 (forall @t51 (=> @t467 (=> @t1292 (=> @t756 (=> (forall @t1131 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t1413) @t1412))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t1383) @t23)))))))) % 18.94/19.18 (assume @p971 (forall @t51 (=> @t1319 (=> (forall (@list @t1414) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t1414) @t23)) (tptp.hBOOL (tptp.hAPP @t1291 @t1414)))) @t1320)))) % 18.94/19.18 (assume @p972 (forall @t376 (=> @t467 (=> @t1292 (=> @t335 (and (=> @t1289 (= @t1416 @t47)) (=> @t1290 (= @t1416 @t1415)))))))) % 18.94/19.18 (assume @p973 (forall @t1377 (=> @t1417 (=> @t1292 (=> @t1335 @t1376))))) % 18.94/19.18 (assume @p974 (forall @t1377 (=> @t1417 (=> @t1292 (=> @t28 (= @t1375 @t1288)))))) % 18.94/19.18 (assume @p975 (forall @t1367 (=> @t1417 (=> @t1292 @t1411)))) % 18.94/19.18 (assume @p976 (forall @t1419 (=> @t1232 (=> @t1292 (=> @t756 (=> (forall @t1131 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t1418) @t1412))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t1288) @t23)))))))) % 18.94/19.18 (assume @p977 (forall @t1367 (=> @t1417 (=> @t1292 (=> @t335 (= @t1401 @t1288)))))) % 18.94/19.18 (assume @p978 (forall @t597 (=> @t467 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t873) @t47)))) % 18.94/19.18 (assume @p979 (forall (@list @t1 @t47 @t150 @t1082 @t2 @t38 @t10) (=> @t1417 (= (tptp.hAPP @t1390 @t1391) @t1391)))) % 18.94/19.18 (assume @p980 (forall (@list @t47 @t1082 @t2 @t38 @t10) (=> @t1417 @t1268))) % 18.94/19.18 (assume @p981 (forall @t376 (=> @t467 (=> @t1292 (=> @t335 (= @t1420 @t1416)))))) % 18.94/19.18 (assume @p982 (forall @t1305 (=> @t467 (=> @t1292 (=> @t251 (= (tptp.hAPP @t938 @t1416) @t219)))))) % 18.94/19.18 (assume @p983 (forall @t51 (=> @t157 (=> @t1292 (=> @t756 (= @t1416 @t370)))))) % 18.94/19.18 (assume @p984 (forall @t376 (=> @t467 (=> @t1292 @t1422)))) % 18.94/19.18 (assume @p985 (forall @t31 (=> @t467 (=> @t1292 (=> @t1364 (=> @t28 (= (tptp.hAPP (tptp.hAPP @t466 @t1423) @t1416) @t1416))))))) % 18.94/19.18 (assume @p986 (forall @t31 (=> @t467 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 @t1426))))))) % 18.94/19.18 (assume @p987 (forall @t51 (=> @t467 (=> @t1292 (=> @t756 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1383) @t1416))))))) % 18.94/19.18 (assume @p988 (forall @t376 (=> @t467 (=> @t1292 (=> @t874 @t1422))))) % 18.94/19.18 (assume @p989 (forall @t376 (=> @t467 (=> @t1292 (and (=> @t1289 (= @t1421 @t47)) (=> @t1290 (= @t1421 @t1415))))))) % 18.94/19.18 (assume @p990 (forall @t31 (=> @t467 (=> @t1292 (=> @t1335 (=> @t1361 (= (tptp.hAPP (tptp.hAPP @t466 @t1425) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t603)) @t1424))))))) % 18.94/19.18 (assume @p991 (forall @t31 (=> @t467 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (=> @t765 @t1426)))))))) % 18.94/19.18 (assume @p992 (forall @t51 (=> @t467 (=> @t1292 (=> @t756 (=> (forall @t1131 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t1427) @t1412))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t1416) @t23)))))))) % 18.94/19.18 (assume @p993 (forall @t1435 (=> @t467 (=> (forall @t1131 (= (tptp.hAPP @t1104 @t1413) (tptp.hAPP (tptp.hAPP @t616 @t1434) @t1433))) (=> @t1432 (=> @t1431 (= (tptp.hAPP @t1104 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t1428)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t1430)))))))) % 18.94/19.18 (assume @p994 (forall @t1435 (=> @t467 (=> (forall @t1131 (= (tptp.hAPP @t1104 @t1427) (tptp.hAPP (tptp.hAPP @t466 @t1434) @t1433))) (=> @t1432 (=> @t1431 (= (tptp.hAPP @t1104 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t1428)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t1430)))))))) % 18.94/19.18 (assume @p995 (forall (@list @t56 @t23 @t10) (=> @t1292 (=> (tptp.hBOOL (tptp.hAPP @t56 @t23)) (=> (forall @t1302 (=> (tptp.hBOOL (tptp.hAPP @t1291 @t1146)) (=> @t1296 (=> (tptp.hBOOL (tptp.hAPP @t56 @t1146)) (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP (tptp.hAPP @t843 @t1146) (tptp.hAPP @t1298 @t749)))))))) @t1436))))) % 18.94/19.18 (assume @p996 (forall @t1362 (=> @t1437 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 @t1363))))))) % 18.94/19.18 (assume @p997 (forall (@list @t56 @t23 @t1082 @t10) (=> @t1308 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t1082) @t23)) (=> @t1436 (=> (forall (@list @t1294 @t1439) (=> @t1442 (=> @t1441 (=> (not (tptp.hBOOL (tptp.hAPP @t1295 @t1439))) (=> @t1440 (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t1298 @t1439)))))))) @t1438)))))) % 18.94/19.18 (assume @p998 (forall @t1362 (=> @t1437 (=> @t1292 (=> @t1364 (=> @t28 @t1443)))))) % 18.94/19.18 (assume @p999 (forall @t1293 (=> @t1437 (=> @t1292 @t1356)))) % 18.94/19.18 (assume @p1000 (forall @t1233 (=> @t1437 @t1444))) % 18.94/19.18 (assume @p1001 (forall @t1293 (=> @t1437 (=> @t1292 (=> @t335 (= @t1354 @t1288)))))) % 18.94/19.18 (assume @p1002 (forall @t1445 (=> @t1292 (= @t660 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t111 @t10 @t539) (tptp.hAPP (tptp.hAPP @t803 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t38 @t799 @t10) @t904) @t2)) @t758)) @t758) @t23))))) % 18.94/19.18 (assume @p1003 (forall @t31 (=> @t1215 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (=> @t765 @t1448)))))))) % 18.94/19.18 (assume @p1004 (forall (@list @t1428 @t1104 @t1082 @t2 @t10) (=> @t1437 (=> (forall @t1131 (= (tptp.hAPP @t1104 @t1418) (tptp.hAPP (tptp.hAPP @t2 @t1434) @t1433))) (=> @t1432 (=> @t1431 (= (tptp.hAPP @t1104 (tptp.hAPP @t1082 @t1428)) (tptp.hAPP @t1082 @t1430)))))))) % 18.94/19.18 (assume @p1005 (forall @t1380 (=> @t1370 (=> @t1342 (=> @t1340 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t180 @t651)) (= @t4 @t513))) @t1379)))))) % 18.94/19.18 (assume @p1006 (forall @t376 (=> @t1215 (=> @t756 (=> @t1292 (=> @t874 @t1450)))))) % 18.94/19.18 (assume @p1007 (forall (@list @t513 @t1 @t1104 @t38 @t23 @t10 @t150) (=> (tptp.class_Groups_Oab__semigroup__mult @t150) (=> @t1292 (=> (tptp.c_Fun_Oinj__on @t10 @t38 @t1104 @t23) (= (tptp.hAPP (tptp.hAPP @t1454 @t513) (tptp.hAPP @t1306 @t23)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1452 (tptp.hAPP @t1260 @t1104)) @t513) @t23))))))) % 18.94/19.18 (assume @p1008 (forall @t1339 (=> @t1292 (=> @t1456 @t1338)))) % 18.94/19.18 (assume @p1009 (forall (@list @t513 @t1 @t2 @t38 @t10) (= (tptp.hAPP @t1458 @t758) @t513))) % 18.94/19.18 (assume @p1010 (forall (@list @t219 @t2 @t10 @t1) (=> (= @t1 @t1459) (= (tptp.hAPP @t1 @t848) @t219)))) % 18.94/19.18 (assume @p1011 (forall (@list @t219 @t2 @t10) (= (tptp.hAPP @t1459 @t848) @t219))) % 18.94/19.18 (assume @p1012 (forall (@list @t23 @t1082 @t1 @t513 @t2 @t38 @t10) (=> @t1370 (=> @t1342 (= @t1288 @t1460))))) % 18.94/19.18 (assume @p1013 (forall @t1462 (=> @t1373 @t1461))) % 18.94/19.18 (assume @p1014 (forall @t1419 (=> @t1232 @t1464))) % 18.94/19.18 (assume @p1015 (forall @t1101 (= @t1463 (tptp.c_HOL_OThe @t10 @t1275)))) % 18.94/19.18 (assume @p1016 (forall @t51 (=> @t467 (=> @t1292 (= @t1416 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t466) @t23)))))) % 18.94/19.18 (assume @p1017 (forall @t51 (=> @t467 (=> @t1292 (= @t1383 @t1465))))) % 18.94/19.18 (assume @p1018 (forall (@list @t513 @t1 @t219 @t23 @t10 @t38) (=> @t1471 (=> @t1292 (=> @t252 (= (tptp.hAPP @t1469 @t854) (tptp.hAPP (tptp.hAPP @t1466 @t1068) @t1470))))))) % 18.94/19.18 (assume @p1019 (forall @t1305 (=> @t669 (=> @t1292 (=> @t251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1465) @t219))))))) % 18.94/19.18 (assume @p1020 (forall @t376 (=> @t669 (=> @t1292 (=> @t756 (= (tptp.hBOOL (tptp.hAPP @t100 @t1465)) @t1473)))))) % 18.94/19.18 (assume @p1021 (forall @t376 (=> @t1269 (=> @t756 (=> @t1292 @t1450))))) % 18.94/19.18 (assume @p1022 (forall @t31 (=> @t1269 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 @t1448))))))) % 18.94/19.18 (assume @p1023 (forall @t1419 (=> (tptp.c_Big__Operators_Osemilattice__big @t10 @t2 @t1082) @t1464))) % 18.94/19.18 (assume @p1024 (forall @t1462 (=> @t1475 (and @t1461 @t1474)))) % 18.94/19.18 (assume @p1025 (forall @t51 (=> @t1215 (=> @t1292 (=> @t756 (=> (forall @t1131 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t1476) @t1412))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t1447) @t23)))))))) % 18.94/19.18 (assume @p1026 (forall @t1435 (=> @t1269 (=> (forall @t1131 (= (tptp.hAPP @t1104 @t1476) (tptp.hAPP (tptp.hAPP @t1212 @t1434) @t1433))) (=> @t1432 (=> @t1431 (= (tptp.hAPP @t1104 (tptp.hAPP @t1446 @t1428)) (tptp.hAPP @t1446 @t1430)))))))) % 18.94/19.18 (assume @p1027 (forall @t1484 (=> @t1483 (=> @t1292 (=> @t1335 (=> @t765 (= @t1482 @t1481))))))) % 18.94/19.18 (assume @p1028 (forall @t1493 (=> @t1492 (=> @t1292 (and @t1491 (=> @t252 (= @t1488 @t1487))))))) % 18.94/19.18 (assume @p1029 (forall @t1493 (=> (tptp.class_Rings_Oring @t38) (=> @t1292 @t1491)))) % 18.94/19.18 (assume @p1030 (forall @t597 (=> (tptp.class_Groups_Oone @t10) (= (= @t1494 @t47) @t1495)))) % 18.94/19.18 (assume @p1031 (forall @t1503 (=> @t1502 (= @t1501 (tptp.hAPP (tptp.hAPP @t1497 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t150 @t111 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t161 (tptp.tc_fun @t111 @t10) @t150) @t1496) @t152)) @t23)) @t22))))) % 18.94/19.18 (assume @p1032 (forall @t1517 (=> @t868 (=> @t1516 (=> @t1514 (= (tptp.hAPP (tptp.hAPP @t865 @t1511) @t1510) @t1507)))))) % 18.94/19.18 (assume @p1033 (forall @t424 (=> @t1520 @t1519))) % 18.94/19.18 (assume @p1034 (forall @t424 (=> @t1521 @t1519))) % 18.94/19.18 (assume @p1035 (forall @t424 (=> @t1520 @t1522))) % 18.94/19.18 (assume @p1036 (forall @t424 (=> @t1521 @t1522))) % 18.94/19.18 (assume @p1037 (forall (@list @t23 @t2 @t38 @t124 @t10) (=> @t1527 (= (tptp.hAPP @t1523 @t1526) (tptp.hAPP (tptp.hAPP @t1496 (tptp.hAPP (tptp.hAPP @t1524 @t1523) @t2)) @t23))))) % 18.94/19.18 (assume @p1038 (forall @t1531 (=> @t1527 (= (tptp.hAPP @t1530 @t124) (tptp.hAPP (tptp.hAPP @t1496 (tptp.hAPP @t1529 @t124)) @t23))))) % 18.94/19.18 (assume @p1039 (forall (@list @t22 @t1 @t150 @t23 @t2 @t38 @t10) (=> @t1527 (= (tptp.hAPP @t1530 (tptp.hAPP (tptp.hAPP @t1497 @t1) @t22)) (tptp.hAPP (tptp.hAPP @t1496 (tptp.hAPP (tptp.hAPP @t1500 (tptp.hAPP @t1499 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 @t156 @t156) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1180 (tptp.tc_fun @t156 @t156) @t38) (tptp.c_COMBB @t10 @t10 @t150)) @t1528)) @t1))) @t22)) @t23))))) % 18.94/19.18 (assume @p1040 (forall @t1535 (=> @t868 (= (tptp.hAPP (tptp.hAPP @t1496 @t1534) @t23) (tptp.hAPP (tptp.hAPP @t865 @t1526) @t1533))))) % 18.94/19.18 (assume @p1041 (forall @t760 (=> @t868 (= (tptp.hAPP (tptp.hAPP @t1496 (tptp.hAPP (tptp.hAPP @t1524 @t390) @t2)) @t23) (tptp.hAPP @t390 @t1526))))) % 18.94/19.18 (assume @p1042 (forall @t1540 (=> @t1539 (=> (tptp.hBOOL (tptp.hAPP @t1538 @t1537)) (=> (tptp.hBOOL (tptp.hAPP @t1538 @t1536)) (tptp.hBOOL (tptp.hAPP @t1538 (tptp.hAPP (tptp.hAPP @t1239 @t1537) @t1536)))))))) % 18.94/19.18 (assume @p1043 (forall @t597 (=> @t1543 (= (= @t1542 @t1494) (or @t1495 (= @t47 @t1541)))))) % 18.94/19.18 (assume @p1044 (forall (@list @t2 @t23 @t22 @t10) (=> @t1335 (=> @t28 (= (tptp.hAPP @t1545 @t845) (tptp.hAPP @t1549 @t1546)))))) % 18.94/19.18 (assume @p1045 (forall @t1556 (=> @t1555 (=> @t1087 (= (tptp.hAPP @t1554 @t673) (tptp.hAPP @t1552 @t22)))))) % 18.94/19.18 (assume @p1046 (forall @t1561 (=> @t1483 (=> @t1292 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1467 @t1560) @t1477) @t23) (tptp.hAPP @t1480 (tptp.hAPP (tptp.hAPP @t1557 @t1477) @t23))))))) % 18.94/19.18 (assume @p1047 (forall (@list @t2 @t23 @t219 @t10) (and (=> @t251 (= @t1562 (tptp.hAPP @t1549 @t903))) (=> @t252 (= @t1562 @t1547))))) % 18.94/19.18 (assume @p1048 (forall @t146 (=> @t1492 (=> @t1292 (=> @t28 (= (tptp.hAPP @t1486 @t845) (tptp.hAPP @t1490 @t1563))))))) % 18.94/19.18 (assume @p1049 (forall @t1569 (=> @t1568 (=> @t1292 (=> @t1567 (= (tptp.hAPP @t1566 @t1565) (tptp.hAPP (tptp.hAPP @t1485 @t1564) @t23))))))) % 18.94/19.18 (assume @p1050 (forall @t1462 (=> @t1475 @t1474))) % 18.94/19.18 (assume @p1051 (forall @t1484 (=> @t1483 (=> @t1292 (=> @t1335 (= @t1481 (tptp.hAPP (tptp.hAPP @t1466 @t1482) (tptp.hAPP @t1478 @t603)))))))) % 18.94/19.18 (assume @p1052 (forall @t37 (=> @t1571 (= @t405 (tptp.hAPP (tptp.hAPP @t1239 @t1570) @t32))))) % 18.94/19.18 (assume @p1053 (forall @t1581 (=> @t1483 (=> @t1580 (=> @t1579 (=> @t1578 (= (tptp.hAPP @t1573 @t1575) (tptp.hAPP (tptp.hAPP @t1466 @t1574) (tptp.hAPP @t1573 @t1572))))))))) % 18.94/19.18 (assume @p1054 (forall @t424 (=> @t1582 @t1519))) % 18.94/19.18 (assume @p1055 (forall @t424 (=> @t1582 @t1522))) % 18.94/19.18 (assume @p1056 (forall @t1584 (=> (and @t1568 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t38)) (=> @t1292 (=> @t756 (=> (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1056 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1056 @t1487) @t1583)))))))) % 18.94/19.18 (assume @p1057 (forall @t1588 (=> @t1568 (=> @t1292 (=> @t335 (= @t1583 @t1587)))))) % 18.94/19.18 (assume @p1058 (forall @t1493 (=> @t1568 (=> @t1292 (=> @t251 (= @t1487 (tptp.hAPP @t1589 @t1488))))))) % 18.94/19.18 (assume @p1059 (forall @t1593 (tptp.hBOOL (tptp.hAPP @t1592 @t1591)))) % 18.94/19.18 (assume @p1060 (forall @t1517 (=> @t1502 (=> @t1516 (=> @t1514 (= (tptp.hAPP @t1595 @t1507) @t1511)))))) % 18.94/19.18 (assume @p1061 (forall (@list @t1504 @t2 @t831 @t561 @t10) (=> @t1502 (=> (tptp.hBOOL (tptp.hAPP @t1515 @t1600)) (= (tptp.hAPP @t1506 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t561 @t1598)) (tptp.hAPP @t1603 (tptp.hAPP @t1506 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1600 @t1598)))))))) % 18.94/19.18 (assume @p1062 (forall @t1612 (=> @t1502 (= (tptp.hAPP @t1506 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1611) @t1609)) (tptp.hAPP @t1608 @t1509))))) % 18.94/19.18 (assume @p1063 (forall @t1612 (=> @t1502 (= (tptp.hAPP @t1506 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1611 @t1609)) (tptp.hAPP @t1608 @t1601))))) % 18.94/19.18 (assume @p1064 (forall (@list @t56 @t831 @t561 @t10) (=> @t1502 (=> @t1516 (= (tptp.hAPP @t1613 @t1601) (tptp.hAPP (tptp.hAPP @t1594 (tptp.hAPP @t56 @t561)) (tptp.hAPP @t1613 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t561 @t831)))))))) % 18.94/19.18 (assume @p1065 (forall @t1620 (= @t1619 (exists @t1618 (forall @t7 (=> @t1617 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t3) @t1614)))))))) % 18.94/19.18 (assume @p1066 (forall (@list @t513 @t47 @t97 @t1622 @t10) (=> @t1626 (= (= (tptp.hAPP (tptp.hAPP @t1594 @t1625) @t1624) (tptp.hAPP (tptp.hAPP @t1594 (tptp.hAPP @t1623 @t513)) (tptp.hAPP @t1449 @t97))) (or (= @t1622 @t47) @t1621))))) % 18.94/19.18 (assume @p1067 (forall (@list @t85 @t1537 @t81 @t33) (=> @t1582 (= (tptp.hAPP @t1632 (tptp.hAPP @t1246 @t1537)) (tptp.hAPP @t1630 @t1537))))) % 18.94/19.18 (assume @p1068 (forall @t94 (=> @t1582 @t1634))) % 18.94/19.18 (assume @p1069 (forall @t227 (=> @t1626 (= (and @t839 (not @t864)) (not (= (tptp.hAPP (tptp.hAPP @t1594 @t1637) (tptp.hAPP @t1283 @t215)) (tptp.hAPP (tptp.hAPP @t1594 @t1636) @t1635))))))) % 18.94/19.18 (assume @p1070 (forall @t80 (=> @t1582 (= (tptp.hAPP @t1243 @t1641) (tptp.hAPP (tptp.hAPP @t1627 @t1639) @t1638))))) % 18.94/19.18 (assume @p1071 (forall @t1649 (= (tptp.hAPP @t1648 @t1647) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1645) @t1643)))) % 18.94/19.18 (assume @p1072 (forall @t1654 (=> @t1653 (= (tptp.hAPP @t1646 @t1643) (tptp.hAPP (tptp.hAPP @t1651 @t1647) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1135) @t1643)))))) % 18.94/19.18 (assume @p1073 (forall @t89 (=> @t1659 (=> (= @t1658 @t1656) @t86)))) % 18.94/19.18 (assume @p1074 (forall @t94 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t33) @t1661))) % 18.94/19.18 (assume @p1075 (forall @t94 (=> @t1659 @t1661))) % 18.94/19.18 (assume @p1076 (forall (@list @t220 @t219 @t216 @t10) (=> @t1666 (= (= @t1665 @t1663) @t887)))) % 18.94/19.18 (assume @p1077 (forall @t936 (=> @t1666 (= (= @t1669 @t1668) @t887)))) % 18.94/19.18 (assume @p1078 (forall @t94 (=> (tptp.class_Groups_Oab__semigroup__add @t33) @t1673))) % 18.94/19.18 (assume @p1079 (forall (@list @t82 @t81 @t33) (=> @t1582 (= @t1660 @t1656)))) % 18.94/19.18 (assume @p1080 (forall @t1676 (=> @t1582 (= @t1675 (tptp.hAPP @t1655 (tptp.hAPP @t1628 @t504)))))) % 18.94/19.18 (assume @p1081 (forall @t1676 (=> @t1582 (= @t1675 (tptp.hAPP @t1677 @t504))))) % 18.94/19.18 (assume @p1082 (forall @t94 (=> @t1582 @t1673))) % 18.94/19.18 (assume @p1083 (forall @t94 (=> @t1582 (= @t1672 (tptp.hAPP @t1677 @t85))))) % 18.94/19.18 (assume @p1084 (forall @t1679 (=> @t1582 (= (tptp.hAPP @t1671 @t1674) (tptp.hAPP @t1677 @t1678))))) % 18.94/19.18 (assume @p1085 (forall @t1683 (=> @t1682 (=> @t1681 @t92)))) % 18.94/19.18 (assume @p1086 (forall @t1686 (=> @t1682 (=> @t1685 @t92)))) % 18.94/19.18 (assume @p1087 (forall @t1679 (=> @t1688 (=> @t92 (=> @t1687 (tptp.hBOOL (tptp.hAPP @t1684 @t1678))))))) % 18.94/19.18 (assume @p1088 (forall @t94 (=> @t1688 (=> @t92 @t1681)))) % 18.94/19.18 (assume @p1089 (forall @t94 (=> @t1688 (=> @t92 @t1685)))) % 18.94/19.18 (assume @p1090 (forall @t1691 (=> @t1690 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1663) @t1689)) @t233)))) % 18.94/19.18 (assume @p1091 (forall @t1693 (=> @t1690 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1668) @t1692)) @t233)))) % 18.94/19.18 (assume @p1092 (forall @t1683 (=> @t1682 (=> @t1694 @t1004)))) % 18.94/19.18 (assume @p1093 (forall @t1686 (=> @t1682 (=> @t1696 @t1004)))) % 18.94/19.18 (assume @p1094 (forall @t1679 (=> @t1700 (=> @t1004 @t1699)))) % 18.94/19.18 (assume @p1095 (forall @t94 (=> @t1700 (=> @t1004 @t1694)))) % 18.94/19.18 (assume @p1096 (forall @t94 (=> @t1700 (=> @t1004 @t1696)))) % 18.94/19.18 (assume @p1097 (forall @t1691 (=> @t1690 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t1663) @t1689)) @t1036)))) % 18.94/19.18 (assume @p1098 (forall @t1693 (=> @t1690 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t1668) @t1692)) @t1036)))) % 18.94/19.18 (assume @p1099 (forall (@list @t82 @t85 @t1701 @t81 @t33) (=> (tptp.class_Rings_Osemiring @t33) (= (tptp.hAPP (tptp.hAPP @t1627 (tptp.hAPP @t1240 @t1701)) (tptp.hAPP (tptp.hAPP @t1627 (tptp.hAPP @t1246 @t1701)) @t82)) (tptp.hAPP (tptp.hAPP @t1627 (tptp.hAPP @t1630 @t1701)) @t82))))) % 18.94/19.18 (assume @p1100 (forall @t94 (=> (tptp.class_Rings_Ocomm__semiring @t33) @t1634))) % 18.94/19.18 (assume @p1101 (forall @t411 (=> @t423 (= (tptp.hAPP @t1702 @t85) @t81)))) % 18.94/19.18 (assume @p1102 (forall @t411 (=> @t423 (= (tptp.hAPP (tptp.hAPP @t1627 @t881) @t85) @t81)))) % 18.94/19.18 (assume @p1103 (forall @t411 (=> @t882 (= @t1704 (tptp.hAPP @t1703 @t409))))) % 18.94/19.18 (assume @p1104 (forall @t411 (=> @t423 (= @t1704 (tptp.hAPP (tptp.hAPP @t1627 @t409) @t408))))) % 18.94/19.18 (assume @p1105 (forall @t411 (=> @t423 (= (tptp.hAPP @t1628 (tptp.hAPP @t1703 @t85)) @t85)))) % 18.94/19.18 (assume @p1106 (forall @t411 (=> @t423 (= (tptp.hAPP @t1703 @t1629) @t85)))) % 18.94/19.18 (assume @p1107 (forall (@list @t1537 @t81 @t33) (=> @t1582 (= (tptp.hAPP @t1632 @t1537) @t1706)))) % 18.94/19.18 (assume @p1108 (forall (@list @t81 @t1537 @t33) (=> @t1582 (= (tptp.hAPP @t1707 @t1631) @t1706)))) % 18.94/19.18 (assume @p1109 (forall @t1711 (=> @t1582 (= (tptp.hAPP @t1707 @t1537) (tptp.hAPP @t1710 @t1537))))) % 18.94/19.18 (assume @p1110 (forall @t69 (=> @t1571 (= @t921 (tptp.hAPP @t1712 @t406))))) % 18.94/19.18 (assume @p1111 (forall @t1535 (=> @t1502 (= (tptp.hAPP (tptp.hAPP @t1496 @t1713) @t23) (tptp.hAPP (tptp.hAPP @t1594 @t1526) @t1533))))) % 18.94/19.18 (assume @p1112 (forall @t1679 (=> @t1700 (=> @t92 @t1699)))) % 18.94/19.18 (assume @p1113 (forall @t1679 (=> @t1700 (=> @t1004 (=> @t1687 @t1697))))) % 18.94/19.18 (assume @p1114 (forall @t424 (=> @t1539 (tptp.hBOOL (tptp.hAPP @t1003 @t1705))))) % 18.94/19.18 (assume @p1115 (forall @t1720 (=> @t1719 (= @t1718 (= @t220 @t1715))))) % 18.94/19.18 (assume @p1116 (forall @t1720 (=> @t1719 (= @t1718 (= @t1721 @t215))))) % 18.94/19.18 (assume @p1117 (forall @t411 (=> @t423 @t1722))) % 18.94/19.18 (assume @p1118 (forall @t411 (=> @t882 @t1722))) % 18.94/19.18 (assume @p1119 (forall @t411 (=> @t423 (= (tptp.hAPP @t880 @t409) @t1629)))) % 18.94/19.18 (assume @p1120 (forall @t1561 (=> @t1568 (=> @t1292 (= (tptp.hAPP (tptp.hAPP @t1485 (tptp.hAPP (tptp.hAPP @t1559 (tptp.hAPP (tptp.hAPP @t1558 @t1585) @t1)) @t1104)) @t23) (tptp.hAPP @t1723 (tptp.hAPP (tptp.hAPP @t1485 @t1104) @t23))))))) % 18.94/19.18 (assume @p1121 (forall @t1720 (=> @t1725 (= @t1724 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1721) @t215)))))) % 18.94/19.18 (assume @p1122 (forall @t1720 (=> @t1725 (= @t1724 (tptp.hBOOL (tptp.hAPP @t221 @t1715)))))) % 18.94/19.18 (assume @p1123 (forall @t1720 (=> @t1725 (= @t1726 (tptp.hBOOL (tptp.hAPP @t1029 @t1715)))))) % 18.94/19.18 (assume @p1124 (forall @t1720 (=> @t1725 (= @t1726 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t1721) @t215)))))) % 18.94/19.18 (assume @p1125 (forall (@list @t2 @t22 @t23 @t10) (=> @t1292 (=> @t1335 (= (tptp.hAPP @t1545 @t458) (tptp.hAPP (tptp.hAPP @t1548 (tptp.hAPP (tptp.hAPP @t1596 @t1547) @t1546)) (tptp.hAPP @t1545 @t603))))))) % 18.94/19.18 (assume @p1126 (forall @t411 (=> @t1582 (= @t1245 @t1727)))) % 18.94/19.18 (assume @p1127 (forall @t1735 (=> @t1582 (= @t1734 (tptp.hAPP @t1732 (tptp.hAPP @t1730 @t1728)))))) % 18.94/19.18 (assume @p1128 (forall @t1735 (=> @t1582 (= @t1734 (tptp.hAPP @t1736 @t1728))))) % 18.94/19.18 (assume @p1129 (forall @t1741 (=> @t1582 (= @t1740 (tptp.hAPP @t1730 (tptp.hAPP @t1738 @t1731)))))) % 18.94/19.18 (assume @p1130 (forall @t1741 (=> @t1582 (= @t1740 (tptp.hAPP @t1736 @t1737))))) % 18.94/19.18 (assume @p1131 (forall @t1743 (=> @t1582 (= @t1742 (tptp.hAPP @t1730 (tptp.hAPP @t1738 @t1733)))))) % 18.94/19.18 (assume @p1132 (forall @t1743 (=> @t1582 (= @t1742 (tptp.hAPP @t1732 (tptp.hAPP @t1739 @t1728)))))) % 18.94/19.18 (assume @p1133 (forall @t1743 (=> @t1582 (= @t1742 (tptp.hAPP @t1736 (tptp.hAPP @t1738 @t1728)))))) % 18.94/19.18 (assume @p1134 (forall @t1588 (=> @t1568 (=> @t1292 (=> @t874 (= @t1744 (tptp.hAPP @t1586 @t1583))))))) % 18.94/19.18 (assume @p1135 (forall (@list @t2 @t219 @t1082 @t10 @t38) (=> @t1568 (=> @t1308 (=> (not (tptp.hBOOL (tptp.hAPP @t250 @t1082))) (= (tptp.hAPP @t1486 (tptp.hAPP @t847 @t1082)) (tptp.hAPP @t1589 (tptp.hAPP @t1486 @t1082)))))))) % 18.94/19.18 (assume @p1136 (forall @t1484 (=> @t1568 (=> @t1292 (=> @t1335 (= (tptp.hAPP (tptp.hAPP @t1585 @t1746) (tptp.hAPP @t1566 @t603)) @t1745)))))) % 18.94/19.18 (assume @p1137 (forall @t1747 (=> @t1568 (=> @t1292 (= @t1744 @t1587))))) % 18.94/19.18 (assume @p1138 (forall @t1484 (=> @t1568 (=> @t1292 (=> @t1335 (=> @t765 @t1748)))))) % 18.94/19.18 (assume @p1139 (forall @t146 (=> @t1492 (=> @t1292 (=> @t1335 (= (tptp.hAPP @t1486 @t458) (tptp.hAPP (tptp.hAPP @t1489 (tptp.hAPP (tptp.hAPP @t1585 @t1487) @t1563)) @t1749))))))) % 18.94/19.18 (assume @p1140 (forall @t1759 (=> @t1653 (= @t1758 (tptp.hBOOL (tptp.hAPP @t1755 @t1753)))))) % 18.94/19.18 (assume @p1141 (forall @t1763 (=> @t1762 (= @t1758 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1760) @t831)))))) % 18.94/19.18 (assume @p1142 (forall @t1763 (=> @t1762 (= @t1764 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1760) @t831)))))) % 18.94/19.18 (assume @p1143 (forall (@list @t1536 @t1537 @t1765 @t1767 @t1766) (=> @t1776 (= @t1774 (tptp.hAPP (tptp.hAPP @t1548 (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP (tptp.hAPP @t1752 @t1769) @t1765)) @t1537)) @t1536))))) % 18.94/19.18 (assume @p1144 (forall @t1763 (=> @t1762 (= @t1777 (= @t1760 @t831))))) % 18.94/19.18 (assume @p1145 (forall @t1759 (=> @t1653 (= @t1764 (tptp.hBOOL (tptp.hAPP @t1515 @t1753)))))) % 18.94/19.18 (assume @p1146 (forall (@list @t1536 @t1537 @t1765 @t1766 @t1767) (=> @t1782 (= @t1774 (tptp.hAPP @t1780 (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP (tptp.hAPP @t1752 @t1779) @t1765)) @t1536)))))) % 18.94/19.18 (assume @p1147 (forall @t1593 (tptp.hBOOL (tptp.hAPP @t1592 @t1783)))) % 18.94/19.18 (assume @p1148 (forall @t1786 (tptp.hBOOL (tptp.hAPP @t1592 @t1785)))) % 18.94/19.18 (assume @p1149 (forall @t1786 (tptp.hBOOL (tptp.hAPP @t1592 @t1788)))) % 18.94/19.18 (assume @p1150 (forall @t1593 (tptp.hBOOL (tptp.hAPP @t1592 @t1789)))) % 18.94/19.18 (assume @p1151 (forall @t1593 (tptp.hBOOL (tptp.hAPP @t1592 @t1790)))) % 18.94/19.18 (assume @p1152 (forall (@list @t1791 @t1766 @t1765 @t1767) (= (tptp.hAPP @t1773 (tptp.hAPP @t1771 @t1791)) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP (tptp.hAPP @t1752 @t1793) @t1765)) @t1791)))) % 18.94/19.18 (assume @p1153 (forall (@list @t118 @t190 @t831 @t10) (= (tptp.hAPP @t1796 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t25 tptp.tc_Nat_Onat) @t190) @t1606)) (tptp.hAPP (tptp.hAPP @t1794 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t118 @t1609)) @t190)))) % 18.94/19.18 (assume @p1154 (forall @t1649 (= (tptp.hAPP @t1648 @t1797) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1645 @t1643)))) % 18.94/19.18 (assume @p1155 (forall @t1620 (= @t1619 (exists @t1618 (forall @t7 (=> @t1617 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t3) @t1614)))))))) % 18.94/19.18 (assume @p1156 (not (tptp.hBOOL (tptp.hAPP @t1592 @t1798)))) % 18.94/19.18 (assume @p1157 (forall @t1759 (=> @t1653 (= @t1777 (= @t561 @t1753))))) % 18.94/19.18 (assume @p1158 (forall @t1806 (=> @t1805 (= @t1803 @t1800)))) % 18.94/19.18 (assume @p1159 (forall @t1806 (=> @t1805 (= @t1800 @t1803)))) % 18.94/19.18 (assume @p1160 (forall @t1806 (=> @t1805 (= @t1808 @t1807)))) % 18.94/19.18 (assume @p1161 (forall @t1654 (=> @t1653 (= (= @t1751 @t118) (= @t1135 (tptp.hAPP @t1809 @t207)))))) % 18.94/19.18 (assume @p1162 (forall @t1813 (=> @t1812 (= (tptp.hAPP (tptp.hAPP @t1596 @t1810) @t1536) @t1537)))) % 18.94/19.18 (assume @p1163 (forall (@list @t207 @t1135 @t118) (=> (tptp.hBOOL (tptp.hAPP @t1815 @t1135)) (= (tptp.hBOOL (tptp.hAPP @t1652 @t1814)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1645) @t1135)))))) % 18.94/19.18 (assume @p1164 (forall @t1806 (=> @t1805 (= @t1807 @t1808)))) % 18.94/19.18 (assume @p1165 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t1650) @t1798) @t1817) @t1816)) % 18.94/19.18 (assume @p1166 (= (tptp.hAPP @t1818 @t1787) @t1798)) % 18.94/19.18 (assume @p1167 (= (tptp.hAPP @t1818 @t1819) @t1798)) % 18.94/19.18 (assume @p1168 (= (tptp.hAPP @t1818 @t1784) @t1798)) % 18.94/19.18 (assume @p1169 (forall @t1821 (not (tptp.hBOOL (tptp.hAPP @t1820 @t1536))))) % 18.94/19.18 (assume @p1170 (forall @t1827 (= @t1826 (or @t1824 @t1823)))) % 18.94/19.18 (assume @p1171 (forall @t1830 (=> @t999 (=> (not @t1829) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t64) @t32)))))) % 18.94/19.18 (assume @p1172 (forall @t1813 (=> @t1833 @t1832))) % 18.94/19.18 (assume @p1173 (forall (@list @t1834 @t1835) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1835) @t1834)) (not (= @t1835 @t1834))))) % 18.94/19.18 (assume @p1174 (forall (@list @t56 @t831 @t561) (=> (=> @t1824 @t1837) (=> (=> @t1825 @t1837) (=> (=> @t1823 @t1837) @t1837))))) % 18.94/19.18 (assume @p1175 (forall @t1838 (= (= @t1611 @t1609) @t1825))) % 18.94/19.18 (assume @p1176 (forall @t1841 (= (= @t1840 @t1839) @t1825))) % 18.94/19.18 (assume @p1177 (forall @t1846 (= (tptp.hAPP (tptp.hAPP @t1596 @t1845) @t1791) (tptp.hAPP @t1844 @t1843)))) % 18.94/19.18 (assume @p1178 (forall @t1850 (= (tptp.hAPP @t1847 @t1849) (tptp.hAPP @t1848 (tptp.hAPP @t1847 @t70))))) % 18.94/19.18 (assume @p1179 (forall @t1852 (= @t1845 @t1851))) % 18.94/19.18 (assume @p1180 (forall @t1821 (tptp.hBOOL (tptp.hAPP @t1811 @t1536)))) % 18.94/19.18 (assume @p1181 (forall @t1852 (or @t1854 @t1812))) % 18.94/19.18 (assume @p1182 (forall @t1852 (=> @t1831 @t1854))) % 18.94/19.18 (assume @p1183 (forall @t1855 (=> @t1782 (=> (tptp.hBOOL (tptp.hAPP @t1775 @t1791)) (tptp.hBOOL (tptp.hAPP @t1781 @t1791)))))) % 18.94/19.18 (assume @p1184 (forall @t1852 (=> @t1854 (=> @t1812 @t1831)))) % 18.94/19.18 (assume @p1185 (forall @t1855 (= @t1856 (tptp.hAPP (tptp.hAPP @t1548 (tptp.hAPP @t1768 @t1791)) @t1766)))) % 18.94/19.18 (assume @p1186 (forall @t1846 (= (tptp.hAPP (tptp.hAPP @t1752 @t1860) @t1791) (tptp.hAPP @t1859 @t1858)))) % 18.94/19.18 (assume @p1187 (forall @t1852 (= @t1860 @t1861))) % 18.94/19.18 (assume @p1188 (forall (@list @t1428 @t118) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1606 @t1428))) % 18.94/19.18 (assume @p1189 (forall @t1855 (=> (tptp.hBOOL (tptp.hAPP @t1863 @t1791)) (tptp.hBOOL (tptp.hAPP @t1862 @t1791))))) % 18.94/19.18 (assume @p1190 (forall (@list @t1536 @t1537 @t1868 @t1791) (=> @t1870 (=> (= (tptp.hAPP @t1844 @t1868) @t1867) @t1865)))) % 18.94/19.18 (assume @p1191 (forall @t1875 (=> @t1874 (=> @t1870 (tptp.hBOOL (tptp.hAPP @t1873 @t1871)))))) % 18.94/19.18 (assume @p1192 (forall @t1855 (=> @t1874 (tptp.hBOOL (tptp.hAPP @t1873 @t1876))))) % 18.94/19.18 (assume @p1193 (forall @t1878 (=> @t1874 (tptp.hBOOL (tptp.hAPP @t1862 @t1877))))) % 18.94/19.18 (assume @p1194 (forall @t1878 (=> @t1874 (tptp.hBOOL (tptp.hAPP @t1862 @t1879))))) % 18.94/19.18 (assume @p1195 (forall @t1841 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1840) @t1839)) @t1824))) % 18.94/19.18 (assume @p1196 (forall @t1880 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1802) @t1767))))) % 18.94/19.18 (assume @p1197 (forall @t1881 (not (tptp.hBOOL (tptp.hAPP @t1863 @t1767))))) % 18.94/19.18 (assume @p1198 (forall @t1827 (= @t1824 (and @t1516 @t1826)))) % 18.94/19.18 (assume @p1199 (forall @t1827 (= @t1516 @t1882))) % 18.94/19.18 (assume @p1200 (forall @t1852 (=> @t1865 @t1854))) % 18.94/19.18 (assume @p1201 (forall @t1852 (=> @t1854 (=> @t1832 @t1865)))) % 18.94/19.18 (assume @p1202 (forall @t1852 (=> (or @t1865 @t1831) @t1854))) % 18.94/19.18 (assume @p1203 (forall @t1813 (tptp.hBOOL (tptp.hAPP @t1811 @t1845)))) % 18.94/19.18 (assume @p1204 (forall @t1813 (tptp.hBOOL (tptp.hAPP @t1811 @t1851)))) % 18.94/19.18 (assume @p1205 (forall @t1827 (= @t1516 (exists @t1885 (= @t831 @t1884))))) % 18.94/19.18 (assume @p1206 (forall @t1841 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1840) @t1839)) @t1516))) % 18.94/19.18 (assume @p1207 (forall @t1878 (=> @t1782 (tptp.hBOOL (tptp.hAPP @t1781 @t1879))))) % 18.94/19.18 (assume @p1208 (forall @t1878 (=> @t1782 (tptp.hBOOL (tptp.hAPP @t1781 @t1877))))) % 18.94/19.18 (assume @p1209 (forall @t1855 (=> @t1782 (tptp.hBOOL (tptp.hAPP @t1886 @t1876))))) % 18.94/19.18 (assume @p1210 (forall @t1875 (=> @t1782 (=> @t1887 (tptp.hBOOL (tptp.hAPP @t1886 @t1871)))))) % 18.94/19.18 (assume @p1211 (forall @t1891 (=> @t1890 @t1888))) % 18.94/19.18 (assume @p1212 (forall @t1891 (=> @t1890 @t1854))) % 18.94/19.18 (assume @p1213 (forall @t1891 (=> @t1890 (not (=> @t1854 (not @t1888)))))) % 18.94/19.18 (assume @p1214 (forall @t1895 (=> @t1865 (=> (tptp.hBOOL (tptp.hAPP @t1864 @t1868)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1894) @t1893)))))) % 18.94/19.18 (assume @p1215 (forall (@list @t1536 @t1791 @t1766) (=> @t1897 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 (tptp.hAPP @t1778 @t1536)) @t1791))))) % 18.94/19.18 (assume @p1216 (forall @t1852 (= (tptp.hAPP (tptp.hAPP @t1548 @t1845) @t1536) @t1537))) % 18.94/19.18 (assume @p1217 (forall @t1813 (= (tptp.hAPP @t1898 @t1536) @t1537))) % 18.94/19.18 (assume @p1218 (forall @t1855 (= @t1856 (tptp.hAPP @t1768 @t1876)))) % 18.94/19.18 (assume @p1219 (forall @t1900 (= (tptp.hAPP (tptp.hAPP @t1548 @t1899) @t1867) @t1810))) % 18.94/19.18 (assume @p1220 (forall @t1891 (= (tptp.hAPP @t1901 @t1843) @t1810))) % 18.94/19.18 (assume @p1221 (forall @t1900 (= (tptp.hAPP @t1902 @t1845) (tptp.hAPP (tptp.hAPP @t1596 @t1904) @t1903)))) % 18.94/19.18 (assume @p1222 (forall @t1846 (= (tptp.hAPP (tptp.hAPP @t1752 @t1845) @t1791) (tptp.hAPP (tptp.hAPP @t1596 @t1905) @t1858)))) % 18.94/19.18 (assume @p1223 (forall @t1852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1810) @t1537)))) % 18.94/19.18 (assume @p1224 (forall @t1895 (=> @t1854 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1894) @t1893))))) % 18.94/19.18 (assume @p1225 (forall @t1895 (=> @t1854 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 (tptp.hAPP @t1780 @t1868)) (tptp.hAPP @t1906 @t1868)))))) % 18.94/19.18 (assume @p1226 (forall @t1908 (=> (tptp.hBOOL (tptp.hAPP @t1781 @t1536)) (= (tptp.hAPP @t1906 @t1907) @t1767)))) % 18.94/19.18 (assume @p1227 (forall @t1841 (=> @t1914 (=> @t1913 (= (= @t1912 @t1910) @t1825))))) % 18.94/19.18 (assume @p1228 (forall @t1900 (=> (tptp.hBOOL (tptp.hAPP @t1804 @t1537)) (=> @t1888 (= (tptp.hAPP (tptp.hAPP @t1548 (tptp.hAPP @t1780 @t1791)) (tptp.hAPP @t1906 @t1791)) @t1810))))) % 18.94/19.18 (assume @p1229 (forall @t1841 (=> @t1914 (=> @t1913 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1912) @t1910)) @t1516))))) % 18.94/19.18 (assume @p1230 (forall @t1875 (=> @t1782 (=> @t1887 (tptp.hBOOL (tptp.hAPP @t1916 (tptp.hAPP @t1770 @t1868))))))) % 18.94/19.18 (assume @p1231 (forall @t1855 (=> @t1782 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1918) @t1917))))) % 18.94/19.18 (assume @p1232 (forall @t1855 (=> @t1782 (tptp.hBOOL (tptp.hAPP @t1916 @t1919))))) % 18.94/19.18 (assume @p1233 (forall @t1921 (tptp.hBOOL (tptp.hAPP @t1853 (tptp.hAPP @t1859 @t1920))))) % 18.94/19.18 (assume @p1234 (forall @t1921 (tptp.hBOOL (tptp.hAPP @t1853 @t1920)))) % 18.94/19.18 (assume @p1235 (forall @t1846 (= (tptp.hAPP (tptp.hAPP @t1752 @t1810) @t1791) (tptp.hAPP (tptp.hAPP @t1548 @t1905) @t1858)))) % 18.94/19.18 (assume @p1236 (forall @t1900 (= (tptp.hAPP @t1902 @t1810) (tptp.hAPP (tptp.hAPP @t1548 @t1904) @t1903)))) % 18.94/19.18 (assume @p1237 (forall @t1821 (= (tptp.hAPP (tptp.hAPP @t1752 @t1599) @t1536) @t1536))) % 18.94/19.18 (assume @p1238 (forall @t1827 (= (= @t1599 @t1924) @t1922))) % 18.94/19.18 (assume @p1239 (forall @t1821 (= (tptp.hAPP @t1857 @t1599) @t1536))) % 18.94/19.18 (assume @p1240 (forall @t1827 (= (= @t1924 @t1599) @t1922))) % 18.94/19.18 (assume @p1241 (forall @t1852 (=> @t1926 @t1925))) % 18.94/19.18 (assume @p1242 (forall @t1654 (= (tptp.hBOOL (tptp.hAPP @t1927 @t1814)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1645) @t1135))))) % 18.94/19.18 (assume @p1243 (forall @t1841 (=> @t1914 (=> @t1913 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1912) @t1910)) @t1824))))) % 18.94/19.18 (assume @p1244 (forall @t1928 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t81) @t85)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t82) @t81)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 (tptp.hAPP (tptp.hAPP @t1548 @t81) @t82)) (tptp.hAPP (tptp.hAPP @t1548 @t85) @t82))))))) % 18.94/19.18 (assume @p1245 (forall @t1806 (=> @t1805 (= (tptp.hAPP @t1768 @t1799) (tptp.hAPP (tptp.hAPP @t1548 @t1872) @t1766))))) % 18.94/19.18 (assume @p1246 (forall (@list @t207 @t118 @t1135) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1814) @t207)) (tptp.hBOOL (tptp.hAPP @t1761 @t1645))))) % 18.94/19.18 (assume @p1247 (forall @t1929 (=> @t1888 (tptp.hBOOL (tptp.hAPP @t1853 (tptp.hAPP @t1898 @t1791)))))) % 18.94/19.18 (assume @p1248 (forall @t1813 (=> @t1812 @t1925))) % 18.94/19.18 (assume @p1249 (forall (@list @t831 @t215 @t219 @t10) (=> @t1938 (= (tptp.hAPP @t1937 (tptp.hAPP (tptp.hAPP @t1505 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t10 tptp.tc_Nat_Onat) @t1667) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t10 @t10) (tptp.hAPP (tptp.hAPP @t1935 @t1212) @t1931)) @t215))) @t1934)) (tptp.hAPP @t1933 (tptp.hAPP @t1667 (tptp.hAPP @t1667 (tptp.hAPP (tptp.hAPP @t1212 (tptp.hAPP @t1931 @t1930)) @t215)))))))) % 18.94/19.18 (assume @p1250 (forall @t1943 (=> @t868 (and (=> @t1516 (= @t1940 (tptp.hAPP (tptp.hAPP @t865 @t1942) (tptp.hAPP @t2 @t1600)))) (=> @t1941 (= @t1940 @t1939)))))) % 18.94/19.18 (assume @p1251 (forall @t1850 (=> @t1946 @t1945))) % 18.94/19.18 (assume @p1252 (forall @t1947 (=> (tptp.hBOOL (tptp.hAPP @t1944 @t70)) @t1945))) % 18.94/19.18 (assume @p1253 (forall @t1830 (=> @t1829 @t1946))) % 18.94/19.18 (assume @p1254 (forall @t1947 (=> (tptp.hBOOL (tptp.hAPP @t1828 @t70)) @t1948))) % 18.94/19.18 (assume @p1255 (forall @t1850 (=> @t1829 @t1948))) % 18.94/19.18 (assume @p1256 (forall @t1821 (not (tptp.hBOOL (tptp.hAPP @t1820 @t1949))))) % 18.94/19.18 (assume @p1257 (forall @t1821 (tptp.hBOOL (tptp.hAPP @t1950 @t1536)))) % 18.94/19.18 (assume @p1258 (forall @t832 (=> @t1954 (= (tptp.hBOOL (tptp.hAPP @t1953 @t1932)) @t1952)))) % 18.94/19.18 (assume @p1259 (forall @t1711 (=> @t1539 (not (tptp.hBOOL (tptp.hAPP @t1958 @t1955)))))) % 18.94/19.18 (assume @p1260 (forall @t819 (=> @t1959 (= (tptp.hAPP @t1956 @t1949) @t1955)))) % 18.94/19.18 (assume @p1261 (forall @t1025 (=> @t1961 (= (= @t1960 @t1932) @t1825)))) % 18.94/19.18 (assume @p1262 (forall @t1964 (=> @t1539 (tptp.hBOOL (tptp.hAPP @t1963 @t1962))))) % 18.94/19.18 (assume @p1263 (forall @t1711 (=> @t1539 (tptp.hBOOL (tptp.hAPP @t1963 @t1957))))) % 18.94/19.18 (assume @p1264 (forall @t597 (=> (tptp.class_Groups_Ozero @t10) (= (= @t1939 @t47) @t1965)))) % 18.94/19.18 (assume @p1265 (forall @t429 (=> @t1626 (= (= @t216 @t1665) @t1966)))) % 18.94/19.18 (assume @p1266 (forall @t424 (=> @t1582 @t1967))) % 18.94/19.18 (assume @p1267 (forall @t424 (=> @t1582 @t1969))) % 18.94/19.18 (assume @p1268 (forall @t424 (=> @t1970 @t1969))) % 18.94/19.18 (assume @p1269 (forall @t424 (=> @t1971 @t1969))) % 18.94/19.18 (assume @p1270 (forall @t751 (=> @t1973 (= (= @t1939 @t1972) @t1966)))) % 18.94/19.18 (assume @p1271 (forall @t424 (=> @t1970 @t1967))) % 18.94/19.18 (assume @p1272 (forall @t424 (=> @t1971 @t1967))) % 18.94/19.18 (assume @p1273 (forall @t424 (=> @t1975 @t1974))) % 18.94/19.18 (assume @p1274 (forall @t424 (=> @t1975 @t1976))) % 18.94/19.18 (assume @p1275 (forall @t421 (=> (tptp.class_Rings_Oring__no__zero__divisors @t10) (= (= @t1978 @t1939) (or @t1966 @t1977))))) % 18.94/19.18 (assume @p1276 (forall @t411 (=> @t1984 (=> @t1983 (=> @t1981 (not @t1979)))))) % 18.94/19.18 (assume @p1277 (forall @t411 (=> @t1984 (=> @t1979 (or @t1982 @t1980))))) % 18.94/19.18 (assume @p1278 (forall @t424 (=> @t1582 @t1974))) % 18.94/19.18 (assume @p1279 (forall @t424 (=> @t1582 @t1976))) % 18.94/19.18 (assume @p1280 (forall @t424 (=> @t423 (= (tptp.hAPP @t880 @t1955) @t81)))) % 18.94/19.18 (assume @p1281 (forall @t424 (=> @t423 (= (tptp.hAPP @t880 @t81) @t1955)))) % 18.94/19.18 (assume @p1282 (forall @t421 (=> @t868 (= @t330 @t1985)))) % 18.94/19.18 (assume @p1283 (forall @t421 (=> @t420 (= @t1985 @t330)))) % 18.94/19.18 (assume @p1284 (forall @t819 (=> @t1986 (not (= @t1518 @t1955))))) % 18.94/19.18 (assume @p1285 (forall @t819 (=> @t1986 (not (= @t1955 @t1518))))) % 18.94/19.18 (assume @p1286 (forall @t751 (=> @t1973 (= (= @t419 @t219) @t1966)))) % 18.94/19.18 (assume @p1287 (forall @t751 (=> @t420 (= (= @t419 @t1939) @t1966)))) % 18.94/19.18 (assume @p1288 (forall @t751 (=> @t1973 (= (= @t219 @t419) @t1966)))) % 18.94/19.18 (assume @p1289 (forall @t751 (=> @t420 (= (= @t1939 @t419) (= @t1939 @t219))))) % 18.94/19.18 (assume @p1290 (forall @t819 (=> @t423 (= (tptp.hAPP @t404 @t1955) @t1955)))) % 18.94/19.18 (assume @p1291 (forall @t1989 (= @t1988 @t1952))) % 18.94/19.18 (assume @p1292 (forall @t1852 (=> @t1865 @t1991))) % 18.94/19.18 (assume @p1293 (forall @t1821 (=> @t1991 @t1992))) % 18.94/19.18 (assume @p1294 (forall @t1852 (=> (= @t1845 @t1537) @t1990))) % 18.94/19.18 (assume @p1295 (forall @t1827 (= (= @t1994 @t1949) (and @t1993 @t1987)))) % 18.94/19.18 (assume @p1296 (forall @t1921 (= (tptp.hAPP @t1844 @t1949) @t1537))) % 18.94/19.18 (assume @p1297 (forall @t1821 (= (tptp.hAPP (tptp.hAPP @t1596 @t1949) @t1536) @t1536))) % 18.94/19.18 (assume @p1298 (forall @t1989 (= (tptp.hBOOL (tptp.hAPP @t1513 @t1949)) @t1987))) % 18.94/19.18 (assume @p1299 (forall @t1821 (= (tptp.hAPP (tptp.hAPP @t1548 @t1949) @t1536) @t1949))) % 18.94/19.18 (assume @p1300 (forall @t1921 (= (tptp.hAPP @t1780 @t1949) @t1537))) % 18.94/19.18 (assume @p1301 (forall @t1921 (= (tptp.hAPP @t1780 @t1537) @t1949))) % 18.94/19.18 (assume @p1302 (forall @t1852 (=> @t1996 (=> (= @t1995 @t1949) @t1831)))) % 18.94/19.18 (assume @p1303 (forall @t1841 (= @t2001 (or @t1997 @t1825)))) % 18.94/19.18 (assume @p1304 (forall @t1838 (= (= @t2005 @t2004) @t2002))) % 18.94/19.18 (assume @p1305 (forall @t1841 (= @t2001 @t2002))) % 18.94/19.18 (assume @p1306 (forall @t1827 (= (= @t1924 @t1949) (or @t1993 @t1987)))) % 18.94/19.18 (assume @p1307 (forall @t1921 (= (tptp.hAPP @t1859 @t1949) @t1949))) % 18.94/19.18 (assume @p1308 (forall @t1821 (= (tptp.hAPP (tptp.hAPP @t1752 @t1949) @t1536) @t1949))) % 18.94/19.18 (assume @p1309 (forall @t658 (=> @t1961 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t10 @t1931 @t1798)))) % 18.94/19.18 (assume @p1310 (forall @t2006 (= (tptp.hAPP @t1508 @t1949) @t1816))) % 18.94/19.18 (assume @p1311 (= (tptp.hAPP @t1819 @t1949) @t1798)) % 18.94/19.18 (assume @p1312 (= (tptp.hAPP @t1787 @t1949) @t1816)) % 18.94/19.18 (assume @p1313 (= (tptp.hAPP @t1784 @t1949) @t2009)) % 18.94/19.18 (assume @p1314 (forall @t2011 (=> @t1502 (= (tptp.hAPP (tptp.hAPP @t1496 @t2010) @t23) @t1939)))) % 18.94/19.18 (assume @p1315 (forall @t1540 (=> @t1539 (=> @t2012 @t1865)))) % 18.94/19.18 (assume @p1316 (forall @t1540 (=> @t1539 (=> @t1865 @t2012)))) % 18.94/19.18 (assume @p1317 (forall @t1025 (=> @t1954 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t1960) @t1932)) @t1824)))) % 18.94/19.18 (assume @p1318 (forall @t1025 (=> @t1954 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1960) @t1932)) @t1516)))) % 18.94/19.18 (assume @p1319 (forall @t1540 (=> @t1959 (= (tptp.hAPP @t1956 @t1845) (tptp.hAPP (tptp.hAPP @t1627 @t1957) @t1962))))) % 18.94/19.18 (assume @p1320 (forall @t751 (=> @t1973 (= (tptp.hBOOL (tptp.hAPP @t2013 @t1972)) @t2014)))) % 18.94/19.18 (assume @p1321 (forall @t751 (=> @t1973 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1972) @t1939)) @t2015)))) % 18.94/19.18 (assume @p1322 (forall @t411 (=> @t2018 (=> @t2017 (=> @t2016 (tptp.hBOOL (tptp.hAPP @t1963 @t1629))))))) % 18.94/19.18 (assume @p1323 (forall @t107 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t10) (=> (tptp.hBOOL (tptp.hAPP @t2013 @t47)) (=> (tptp.hBOOL (tptp.hAPP @t2013 @t97)) (= (= @t2022 @t1939) @t2020)))))) % 18.94/19.18 (assume @p1324 (forall @t94 (=> @t2018 (=> @t2017 (=> @t96 @t2023))))) % 18.94/19.18 (assume @p1325 (forall @t2025 (=> @t2018 (=> @t2024 (=> @t88 @t2023))))) % 18.94/19.18 (assume @p1326 (forall @t411 (=> @t2018 (=> @t2027 (=> @t2026 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t1629) @t1955))))))) % 18.94/19.18 (assume @p1327 (forall @t411 (=> @t2029 (=> (or (and @t2017 @t2026) (and @t2027 @t2016)) @t2028)))) % 18.94/19.18 (assume @p1328 (forall @t411 (=> @t2031 (=> (or (and @t2017 @t2016) (and @t2027 @t2026)) @t2030)))) % 18.94/19.18 (assume @p1329 (forall @t1679 (=> @t2035 (=> @t92 (=> @t1687 (=> @t2016 @t2034)))))) % 18.94/19.18 (assume @p1330 (forall @t1679 (=> @t2035 (=> @t92 (=> @t1687 (=> @t2017 @t2034)))))) % 18.94/19.18 (assume @p1331 (forall @t89 (=> @t2031 (=> @t88 (=> @t2040 @t2039))))) % 18.94/19.18 (assume @p1332 (forall @t89 (=> @t2031 (=> @t88 (=> @t2040 @t2041))))) % 18.94/19.18 (assume @p1333 (forall @t94 (=> (tptp.class_Rings_Oordered__comm__semiring @t33) @t2042))) % 18.94/19.18 (assume @p1334 (forall @t94 (=> @t2035 @t2042))) % 18.94/19.18 (assume @p1335 (forall @t94 (=> @t2035 (=> @t92 (=> @t2024 @t2041))))) % 18.94/19.18 (assume @p1336 (forall @t411 (=> @t2031 (=> @t2027 (=> @t2026 @t2030))))) % 18.94/19.18 (assume @p1337 (forall @t411 (=> @t2029 (=> @t2027 (=> @t2016 @t2028))))) % 18.94/19.18 (assume @p1338 (forall @t411 (=> @t2029 (=> @t2017 (=> @t2026 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t1727) @t1955))))))) % 18.94/19.18 (assume @p1339 (forall @t411 (=> @t2029 (=> @t2017 (=> @t2026 @t2028))))) % 18.94/19.18 (assume @p1340 (forall @t411 (=> @t2029 (=> @t2017 (=> @t2016 @t2030))))) % 18.94/19.18 (assume @p1341 (forall @t421 (=> @t2046 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1978) @t1939)) @t2045)))) % 18.94/19.18 (assume @p1342 (forall @t421 (=> @t2046 (= (tptp.hBOOL (tptp.hAPP @t2013 @t1978)) @t2047)))) % 18.94/19.18 (assume @p1343 (forall @t424 (=> @t2048 (tptp.hBOOL (tptp.hAPP @t1963 @t1241))))) % 18.94/19.18 (assume @p1344 (forall @t94 (=> @t1539 (=> @t2052 @t2050)))) % 18.94/19.18 (assume @p1345 (forall @t751 (=> @t1973 (= (tptp.hBOOL (tptp.hAPP @t1953 @t1972)) @t2053)))) % 18.94/19.18 (assume @p1346 (forall @t751 (=> @t1973 @t2055))) % 18.94/19.18 (assume @p1347 (forall @t411 (=> @t2018 (=> @t2052 @t2058)))) % 18.94/19.18 (assume @p1348 (forall @t411 (=> @t2018 (=> @t2062 @t2061)))) % 18.94/19.18 (assume @p1349 (forall @t89 (=> @t2065 (=> @t1002 (=> @t2064 @t2063))))) % 18.94/19.18 (assume @p1350 (forall @t89 (=> @t2065 (=> @t1002 (=> @t2064 @t2067))))) % 18.94/19.18 (assume @p1351 (forall @t94 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t33) @t2069))) % 18.94/19.18 (assume @p1352 (forall @t94 (=> @t2070 @t2069))) % 18.94/19.18 (assume @p1353 (forall @t94 (=> @t2070 (=> @t1004 (=> @t2068 @t2067))))) % 18.94/19.18 (assume @p1354 (forall @t411 (=> @t2065 (=> @t2062 (=> @t2060 @t2071))))) % 18.94/19.18 (assume @p1355 (forall @t411 (=> @t2070 (=> @t2062 (=> @t2057 @t2072))))) % 18.94/19.18 (assume @p1356 (forall @t1691 (=> @t2046 (=> @t2077 (= @t2076 @t1064))))) % 18.94/19.18 (assume @p1357 (forall @t1005 (=> @t2070 (=> (tptp.hBOOL (tptp.hAPP @t2051 @t1727)) @t2078)))) % 18.94/19.18 (assume @p1358 (forall @t411 (=> @t2070 (=> @t2071 @t2078)))) % 18.94/19.18 (assume @p1359 (forall @t411 (=> @t2070 (=> @t2052 (=> @t2060 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t1727) @t1955))))))) % 18.94/19.18 (assume @p1360 (forall @t411 (=> @t2070 (=> @t2052 (=> @t2060 @t2072))))) % 18.94/19.18 (assume @p1361 (forall @t411 (=> @t2070 (=> @t2052 (=> @t2057 @t2071))))) % 18.94/19.18 (assume @p1362 (forall @t1691 (=> @t2046 (=> @t2079 (= @t2076 @t1036))))) % 18.94/19.18 (assume @p1363 (forall @t1691 (=> @t2046 (= @t2076 @t2080)))) % 18.94/19.18 (assume @p1364 (forall @t1693 (=> @t2046 (= (tptp.hBOOL (tptp.hAPP @t2081 @t1635)) @t2080)))) % 18.94/19.18 (assume @p1365 (forall @t424 (=> @t2048 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t1241) @t1955)))))) % 18.94/19.18 (assume @p1366 (forall @t1540 (=> @t1959 (= (tptp.hAPP @t1956 @t1860) (tptp.hAPP (tptp.hAPP @t1239 @t1957) @t1962))))) % 18.94/19.18 (assume @p1367 (forall @t421 (=> @t425 (= @t233 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t866) @t1939)))))) % 18.94/19.18 (assume @p1368 (forall @t421 (=> @t425 (= @t1036 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t866) @t1939)))))) % 18.94/19.18 (assume @p1369 (forall (@list @t504 @t82 @t85 @t81 @t2082 @t33) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t33) (=> (not (= @t2082 @t1955)) (=> (and @t95 (not (= @t82 @t504))) (not (= (tptp.hAPP @t1628 (tptp.hAPP @t2083 @t82)) (tptp.hAPP @t1657 (tptp.hAPP @t2083 @t504))))))))) % 18.94/19.18 (assume @p1370 (forall @t819 (=> @t1539 (not (tptp.hBOOL (tptp.hAPP @t2084 @t1955)))))) % 18.94/19.18 (assume @p1371 (forall @t819 (=> @t1539 (tptp.hBOOL (tptp.hAPP @t1963 @t1518))))) % 18.94/19.18 (assume @p1372 (forall @t819 (=> @t1539 (not (tptp.hBOOL (tptp.hAPP @t1538 @t1955)))))) % 18.94/19.18 (assume @p1373 (forall @t819 (=> @t1539 (tptp.hBOOL (tptp.hAPP @t2051 @t1518))))) % 18.94/19.18 (assume @p1374 (forall @t751 (=> @t1973 (= (tptp.hBOOL (tptp.hAPP @t427 @t219)) @t2014)))) % 18.94/19.18 (assume @p1375 (forall @t751 (=> @t425 (= (tptp.hBOOL (tptp.hAPP @t427 @t1939)) @t2014)))) % 18.94/19.18 (assume @p1376 (forall @t751 (=> @t1973 (= (tptp.hBOOL (tptp.hAPP @t232 @t419)) @t2015)))) % 18.94/19.18 (assume @p1377 (forall @t751 (=> @t425 (= (tptp.hBOOL (tptp.hAPP @t2013 @t419)) @t2015)))) % 18.94/19.18 (assume @p1378 (forall @t751 (=> @t1973 (= (tptp.hBOOL (tptp.hAPP @t1044 @t219)) @t2053)))) % 18.94/19.18 (assume @p1379 (forall @t751 (=> @t425 (= (tptp.hBOOL (tptp.hAPP @t1044 @t1939)) @t2053)))) % 18.94/19.18 (assume @p1380 (forall @t751 (=> @t425 (= (tptp.hBOOL (tptp.hAPP @t1953 @t419)) @t2054)))) % 18.94/19.18 (assume @p1381 (forall @t751 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP @t1035 @t419)) @t2054)))) % 18.94/19.18 (assume @p1382 (forall @t411 (=> @t423 (=> (= @t1629 @t1955) (= @t408 @t85))))) % 18.94/19.18 (assume @p1383 (forall @t424 (=> @t882 @t2086))) % 18.94/19.18 (assume @p1384 (forall @t424 (=> @t423 @t2086))) % 18.94/19.18 (assume @p1385 (forall @t421 (=> @t420 (= @t422 (= @t1669 @t1939))))) % 18.94/19.18 (assume @p1386 (forall @t424 (=> @t423 (= (tptp.hAPP @t1628 @t408) @t1955)))) % 18.94/19.18 (assume @p1387 (forall @t819 (=> @t1959 (= (tptp.hAPP @t1956 @t1599) @t1518)))) % 18.94/19.18 (assume @p1388 (forall @t424 (=> @t423 (= (tptp.hAPP (tptp.hAPP @t877 @t1955) @t81) @t408)))) % 18.94/19.18 (assume @p1389 (forall @t1090 (=> @t1502 (= (tptp.hAPP @t1525 @t758) @t1939)))) % 18.94/19.18 (assume @p1390 (forall @t2087 (=> @t1502 (= (tptp.hAPP @t1532 @t758) @t1939)))) % 18.94/19.18 (assume @p1391 (forall @t2090 (=> @t1568 (=> @t2089 (= @t1487 @t2088))))) % 18.94/19.18 (assume @p1392 (forall @t2092 (=> @t1568 @t2091))) % 18.94/19.18 (assume @p1393 (forall @t1827 (= (tptp.hBOOL (tptp.hAPP @t1951 @t1994)) (or @t2093 @t1952)))) % 18.94/19.18 (assume @p1394 (forall @t1813 (=> @t1992 (=> @t2095 (tptp.hBOOL (tptp.hAPP @t2094 @t1537)))))) % 18.94/19.18 (assume @p1395 (forall @t2097 (= (tptp.hBOOL (tptp.hAPP @t1951 @t2096)) @t1824))) % 18.94/19.18 (assume @p1396 (forall @t1841 (=> @t2098 (= @t2001 @t1825)))) % 18.94/19.18 (assume @p1397 (forall @t1841 (=> @t2098 (= @t2099 @t1824)))) % 18.94/19.18 (assume @p1398 (forall @t1827 (= (tptp.hBOOL (tptp.hAPP @t1951 @t1924)) (and @t2093 @t1952)))) % 18.94/19.18 (assume @p1399 (forall @t1841 (= @t2099 @t2100))) % 18.94/19.18 (assume @p1400 (forall @t1838 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t2005) @t2004)) @t2100))) % 18.94/19.18 (assume @p1401 (forall @t1855 (=> @t1874 (=> @t2101 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1915) @t1919)))))) % 18.94/19.18 (assume @p1402 (forall @t1855 (=> @t1874 (=> @t2101 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1918) @t1917)))))) % 18.94/19.18 (assume @p1403 (forall @t1813 (= (tptp.hAPP @t1906 @t1851) @t1949))) % 18.94/19.18 (assume @p1404 (forall @t1852 (=> @t1854 @t1996))) % 18.94/19.18 (assume @p1405 (forall @t1827 (= (= @t2102 @t1949) @t1516))) % 18.94/19.18 (assume @p1406 (forall @t1852 (=> (= @t1537 @t1860) (or (= @t1536 @t1599) @t2103)))) % 18.94/19.18 (assume @p1407 (forall @t2105 (=> @t1308 (= (= (tptp.hAPP @t1545 @t1082) @t1949) (forall @t7 (=> @t2104 (= @t5 @t1949))))))) % 18.94/19.18 (assume @p1408 (forall @t1989 (= @t2107 @t1934))) % 18.94/19.18 (assume @p1409 (forall @t1989 (= @t2108 @t1795))) % 18.94/19.18 (assume @p1410 (forall @t411 (=> @t2018 (=> @t2052 (=> @t2016 @t2056))))) % 18.94/19.18 (assume @p1411 (forall @t411 (=> @t2018 (=> @t2017 @t2058)))) % 18.94/19.18 (assume @p1412 (forall @t94 (=> @t2018 (=> @t2052 (=> @t96 @t2049))))) % 18.94/19.18 (assume @p1413 (forall @t94 (=> @t2018 (=> @t2017 @t2050)))) % 18.94/19.18 (assume @p1414 (forall @t411 (=> @t2018 (=> @t2062 (=> @t2026 @t2059))))) % 18.94/19.18 (assume @p1415 (forall @t411 (=> @t2018 (=> @t2027 @t2061)))) % 18.94/19.18 (assume @p1416 (forall @t1691 (=> @t2046 (=> @t2079 (= @t2109 @t233))))) % 18.94/19.18 (assume @p1417 (forall @t1691 (=> @t2046 (=> @t2077 (= @t2109 @t224))))) % 18.94/19.18 (assume @p1418 (forall @t1679 (=> @t2070 (=> @t1004 (=> @t1698 (=> @t2057 @t2111)))))) % 18.94/19.18 (assume @p1419 (forall @t1679 (=> @t2070 (=> @t1004 (=> @t1698 (=> @t2017 @t2111)))))) % 18.94/19.18 (assume @p1420 (forall @t1679 (=> @t2070 (=> @t1004 (=> @t1687 (=> @t2017 (=> @t2068 @t2110))))))) % 18.94/19.18 (assume @p1421 (forall @t1679 (=> @t2070 (=> @t92 (=> @t1698 (=> @t2052 @t2111)))))) % 18.94/19.18 (assume @p1422 (forall @t1686 (=> @t2114 @t2113))) % 18.94/19.18 (assume @p1423 (forall @t1686 (=> @t2070 @t2113))) % 18.94/19.18 (assume @p1424 (forall @t1683 (=> @t2114 @t2115))) % 18.94/19.18 (assume @p1425 (forall @t1683 (=> @t2070 @t2115))) % 18.94/19.18 (assume @p1426 (forall @t1686 (=> @t2070 (=> @t2041 @t2116)))) % 18.94/19.18 (assume @p1427 (forall @t1683 (=> @t2070 (=> @t2039 @t2116)))) % 18.94/19.18 (assume @p1428 (forall @t69 (=> @t1345 (=> @t2119 (=> @t2118 (=> @t2117 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t1639) @t32)))))))) % 18.94/19.18 (assume @p1429 (forall @t69 (=> @t1345 (=> @t2119 (=> @t2118 (=> @t2117 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t2121) @t32)))))))) % 18.94/19.18 (assume @p1430 (forall @t819 (=> @t1539 (tptp.hBOOL (tptp.hAPP @t2051 @t1709))))) % 18.94/19.18 (assume @p1431 (forall (@list @t1537 @t1536 @t33) (=> @t2122 (=> @t1812 (= (tptp.hAPP @t1956 @t1810) (tptp.hAPP (tptp.hAPP @t877 @t1957) @t1962)))))) % 18.94/19.18 (assume @p1432 (forall @t2131 (= @t2130 (and (=> @t2129 @t2128) (forall @t2127 (=> @t2126 @t2125)))))) % 18.94/19.18 (assume @p1433 (forall @t2131 (= @t2130 (not (or (and @t2129 @t2132) (exists @t2127 (and @t2126 (not @t2125)))))))) % 18.94/19.18 (assume @p1434 (forall @t1841 (=> @t2098 (= @t2133 @t1516)))) % 18.94/19.18 (assume @p1435 (forall @t1838 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2005) @t2004)) @t2134))) % 18.94/19.18 (assume @p1436 (forall @t1841 (= @t2133 @t2134))) % 18.94/19.18 (assume @p1437 (forall (@list @t1385 @t1251 @t150 @t10 @t38 @t2135 @t2136 @t1257 @t47 @t1 @t2) (=> (= @t1248 (tptp.hAPP @t1257 (tptp.hAPP @t2136 @t2135))) (= @t1250 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t1251 @t10 @t1385 @t1257) @t2136) @t2135))))) % 18.94/19.18 (assume @p1438 (forall @t1061 (=> @t1292 (= (= @t1547 @t1599) (exists @t7 (and @t326 @t2138 @t2137)))))) % 18.94/19.18 (assume @p1439 (forall @t2148 (=> @t1568 (=> @t1580 (and (=> @t2145 (= @t2144 @t2147)) (=> @t2146 (= @t2144 @t2088))))))) % 18.94/19.18 (assume @p1440 (forall @t2148 (=> @t1568 (=> @t1580 (and (=> @t2145 (= @t2150 @t2147)) (=> @t2146 (= @t2150 @t2088))))))) % 18.94/19.18 (assume @p1441 (forall @t2156 (=> (tptp.class_Rings_Olinordered__semiring__1 @t33) (=> @t511 (=> (tptp.hBOOL (tptp.hAPP @t65 @t81)) (=> @t2155 (=> @t2154 (=> @t2153 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t2152) @t81)))))))))) % 18.94/19.18 (assume @p1442 (forall @t51 (= (tptp.hAPP @t2157 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t2159 @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1650 (tptp.tc_fun @t2159 @t25) tptp.tc_Nat_Onat) @t1794) @t2106)) @t23)) @t2158))) % 18.94/19.18 (assume @p1443 (forall @t2092 (=> @t1568 @t2160))) % 18.94/19.18 (assume @p1444 (forall @t2092 (=> @t1568 (and @t2160 @t2091)))) % 18.94/19.18 (assume @p1445 (forall @t2163 (=> @t1568 (=> @t1292 (= @t1749 @t2162))))) % 18.94/19.18 (assume @p1446 (forall @t2156 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t33) (=> @t1038 (=> (tptp.hBOOL (tptp.hAPP @t994 @t81)) (=> @t2155 (=> @t2154 (=> @t2153 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t2152) @t81)))))))))) % 18.94/19.18 (assume @p1447 (forall (@list @t47 @t97 @t220) (and (=> @t2167 (= @t2165 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t2168 @t220)) (tptp.hAPP (tptp.hAPP @t1548 @t97) @t220)))) (=> (not @t2167) (and (=> @t2166 (= @t2165 @t2009)) (=> (not @t2166) (= @t2165 @t1816))))))) % 18.94/19.18 (assume @p1448 (forall (@list @t190 @t831 @t10) (= (tptp.hAPP @t1796 @t190) (tptp.hAPP (tptp.hAPP @t440 (tptp.hAPP (tptp.hAPP @t1794 @t2169) @t190)) (tptp.hAPP @t190 @t1949))))) % 18.94/19.18 (assume @p1449 (forall @t832 (=> @t1938 (= (tptp.hAPP @t1937 (tptp.hAPP (tptp.hAPP @t1505 @t1931) @t2169)) (tptp.hAPP @t1933 (tptp.hAPP (tptp.hAPP @t1594 @t1932) @t1494)))))) % 18.94/19.18 (assume @p1450 (forall @t1852 (and (=> @t2103 (= @t1860 @t1949)) (=> @t2171 (= @t1860 (tptp.hAPP @t1842 (tptp.hAPP (tptp.hAPP @t1752 @t2170) @t1536))))))) % 18.94/19.18 (assume @p1451 (forall @t69 (=> @t2048 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t2172) @t1955)))))) % 18.94/19.18 (assume @p1452 (forall @t107 (=> @t2046 (= (tptp.hBOOL (tptp.hAPP @t1953 @t2175)) @t2174)))) % 18.94/19.18 (assume @p1453 (forall @t69 (=> @t2048 (tptp.hBOOL (tptp.hAPP @t1963 @t2172))))) % 18.94/19.18 (assume @p1454 (forall @t107 (=> @t2046 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2175) @t1939)) @t2020)))) % 18.94/19.18 (assume @p1455 (forall @t760 (=> @t2178 (= (tptp.hAPP @t1931 (tptp.hAPP (tptp.hAPP @t2177 @t2) @t23)) (tptp.hAPP (tptp.hAPP @t1496 @t2176) @t23))))) % 18.94/19.18 (assume @p1456 (forall @t832 (=> @t2178 (= @t1932 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 (tptp.hAPP (tptp.hAPP @t2179 @t1594) @t1494) @t831 @t1939))))) % 18.94/19.18 (assume @p1457 (forall (@list @t207 @t2180 @t10) (=> @t2178 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t2180 @t1949 @t207) @t207)))) % 18.94/19.18 (assume @p1458 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t1949)) % 18.94/19.18 (assume @p1459 (forall @t2097 (= (tptp.hBOOL (tptp.hAPP @t2187 (tptp.hAPP @t2184 @t2183))) @t2181))) % 18.94/19.18 (assume @p1460 (forall @t1989 (= (tptp.hBOOL (tptp.hAPP @t2187 @t2188)) @t1987))) % 18.94/19.18 (assume @p1461 (forall @t1989 (= (= @t2185 @t2188) @t1987))) % 18.94/19.18 (assume @p1462 (= @t2189 @t2188)) % 18.94/19.18 (assume @p1463 (forall @t2097 (= (= (tptp.hAPP @t2184 @t2185) @t2183) @t2181))) % 18.94/19.18 (assume @p1464 (forall @t1827 (= (tptp.hBOOL (tptp.hAPP @t2191 @t2185)) @t1824))) % 18.94/19.18 (assume @p1465 (forall @t1989 (= (tptp.hBOOL (tptp.hAPP @t2192 @t2185)) @t1952))) % 18.94/19.18 (assume @p1466 (forall @t1855 (=> @t2197 (=> @t2101 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP @t2195 @t1767)) (tptp.hAPP @t2195 @t1766))))))) % 18.94/19.18 (assume @p1467 (forall @t1852 (= (tptp.hAPP @t2202 @t2199) @t2198))) % 18.94/19.18 (assume @p1468 (forall (@list @t70 @t1536 @t1537) (= (tptp.hAPP @t2202 (tptp.hAPP (tptp.hAPP @t2201 @t2199) @t70)) (tptp.hAPP (tptp.hAPP @t2201 @t2198) @t70)))) % 18.94/19.18 (assume @p1469 (forall @t1827 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t2183) @t2185)) @t1516))) % 18.94/19.18 (assume @p1470 (forall @t1852 (= @t2204 @t2203))) % 18.94/19.18 (assume @p1471 (forall @t1852 (= @t2203 @t2204))) % 18.94/19.18 (assume @p1472 (= @t2206 @t2205)) % 18.94/19.18 (assume @p1473 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2182 @t1798)) % 18.94/19.18 (assume @p1474 (forall @t1101 (= (tptp.hAPP @t2182 @t1547) @t2209))) % 18.94/19.18 (assume @p1475 (forall @t751 (=> @t1973 @t2210))) % 18.94/19.18 (assume @p1476 (forall @t1813 (=> @t1812 (= (tptp.hAPP (tptp.hAPP @t2211 @t2200) @t2199) (tptp.hAPP @t2182 @t1810))))) % 18.94/19.18 (assume @p1477 (forall @t751 (=> @t2085 @t2055))) % 18.94/19.18 (assume @p1478 (forall @t107 (=> @t2046 (= (= @t2175 @t1939) @t2020)))) % 18.94/19.18 (assume @p1479 (forall @t2215 (= (exists @t1618 (and @t2214 @t2213)) (exists @t7 (and @t2212 @t314))))) % 18.94/19.18 (assume @p1480 (forall @t2215 (= (forall @t1618 (=> @t2214 @t2213)) (forall @t7 (=> @t2212 @t314))))) % 18.94/19.18 (assume @p1481 (forall @t2215 (= (exists @t1618 (and @t2217 @t2213)) (exists @t7 (and @t2216 @t314))))) % 18.94/19.18 (assume @p1482 (forall @t2215 (= (forall @t1618 (=> @t2217 @t2213)) (forall @t7 (=> @t2216 @t314))))) % 18.94/19.18 (assume @p1483 (forall (@list @t97 @t47 @t56) (= (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t2182 @t2222))) (and (=> (tptp.hBOOL (tptp.hAPP @t2221 @t47)) (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP (tptp.hAPP @t2211 @t2220) @t2219)))) (=> @t2166 @t2218))))) % 18.94/19.18 (assume @p1484 (forall @t2230 (=> (forall @t2229 (tptp.hBOOL (tptp.hAPP @t2228 @t2226))) (tptp.hBOOL (tptp.hAPP @t2224 @t2223))))) % 18.94/19.18 (assume @p1485 (forall @t1813 (tptp.hBOOL (tptp.hAPP @t2232 @t2200)))) % 18.94/19.18 (assume @p1486 (forall @t1821 (tptp.hBOOL (tptp.hAPP @t2232 @t2188)))) % 18.94/19.18 (assume @p1487 (forall @t1821 (tptp.hBOOL (tptp.hAPP @t2233 @t2199)))) % 18.94/19.18 (assume @p1488 (forall @t1827 (= (= @t2183 @t2185) @t1825))) % 18.94/19.18 (assume @p1489 (= (tptp.hAPP @t2184 @t2188) @t2188)) % 18.94/19.18 (assume @p1490 (tptp.hBOOL (tptp.hAPP @t2192 @t2205))) % 18.94/19.18 (assume @p1491 (not (= @t2188 @t2205))) % 18.94/19.18 (assume @p1492 (forall @t1827 (=> (tptp.hBOOL (tptp.hAPP @t2192 @t561)) (= @t2235 @t2234)))) % 18.94/19.18 (assume @p1493 (forall @t1855 (=> @t2197 (=> @t2237 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP @t2236 @t1767)) (tptp.hAPP @t2236 @t1766))))))) % 18.94/19.18 (assume @p1494 (forall @t1813 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2199) (tptp.hAPP @t2184 @t2200)))))) % 18.94/19.18 (assume @p1495 (forall @t2238 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2193) @t2188))))) % 18.94/19.18 (assume @p1496 (forall @t2241 (= @t2240 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP (tptp.hAPP @t2211 @t118) @t395)) @t2188))))) % 18.94/19.18 (assume @p1497 (forall @t2243 (= (tptp.hAPP @t2242 @t2188) @t70))) % 18.94/19.18 (assume @p1498 (forall @t2243 (= (tptp.hAPP (tptp.hAPP @t2201 @t2188) @t70) @t70))) % 18.94/19.18 (assume @p1499 (forall @t2248 (= @t2247 (exists @t2229 (= @t513 (tptp.hAPP @t2245 @t2244)))))) % 18.94/19.18 (assume @p1500 (forall @t2243 (= (tptp.hAPP @t2250 @t70) @t2188))) % 18.94/19.18 (assume @p1501 (forall @t1593 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2256 @t2201) @t395)) (tptp.hAPP @t2255 @t2254)) @t2252))) % 18.94/19.18 (assume @p1502 (forall @t2259 (tptp.hBOOL (tptp.hAPP @t2258 @t2257)))) % 18.94/19.18 (assume @p1503 (forall @t2243 (not (= (tptp.hAPP (tptp.hAPP @t2201 @t2261) @t70) @t2188)))) % 18.94/19.18 (assume @p1504 (forall @t2264 (= (tptp.hBOOL (tptp.hAPP @t2263 @t513)) @t2262))) % 18.94/19.18 (assume @p1505 (forall @t2243 (=> @t2265 (tptp.hBOOL (tptp.hAPP @t2192 @t2261))))) % 18.94/19.18 (assume @p1506 (forall @t2264 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t2260 @t513)) @t513)) @t2188)) @t2267))) % 18.94/19.18 (assume @p1507 (forall (@list @t207 @t1135) (and (=> @t2270 (= @t2269 @t2272)) (=> (not @t2270) (= @t2269 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t207) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2268 @t1135))))))) % 18.94/19.18 (assume @p1508 (forall @t2248 (= (tptp.hBOOL (tptp.hAPP @t2246 (tptp.hAPP @t2275 @t2205))) @t2274))) % 18.94/19.18 (assume @p1509 (forall @t2248 (= @t2277 (or @t2274 @t2276)))) % 18.94/19.18 (assume @p1510 (forall @t2280 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2278) @t70)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 (tptp.hAPP @t2279 @t2205)) @t70))))) % 18.94/19.18 (assume @p1511 (forall @t2248 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 (tptp.hAPP @t2245 @t2205)) @t513)) @t2274))) % 18.94/19.18 (assume @p1512 (forall @t2248 (= @t2277 @t2247))) % 18.94/19.18 (assume @p1513 (forall @t2289 (= (tptp.hAPP (tptp.hAPP @t2194 @t2288) @t2278) (tptp.hAPP (tptp.hAPP @t2201 @t2286) @t2283)))) % 18.94/19.18 (assume @p1514 (forall @t2293 (= (tptp.hAPP @t2290 @t2288) (tptp.hAPP (tptp.hAPP @t2201 @t2292) @t2291)))) % 18.94/19.18 (assume @p1515 (forall @t2289 (= (tptp.hAPP (tptp.hAPP @t2194 @t2294) @t2278) (tptp.hAPP (tptp.hAPP @t2211 @t2286) @t2283)))) % 18.94/19.18 (assume @p1516 (forall @t2293 (= (tptp.hAPP @t2290 @t2294) (tptp.hAPP (tptp.hAPP @t2211 @t2292) @t2291)))) % 18.94/19.18 (assume @p1517 (forall @t2299 (= @t2298 @t2296))) % 18.94/19.18 (assume @p1518 (forall @t2299 (= @t2296 @t2298))) % 18.94/19.18 (assume @p1519 (forall @t2299 (= (tptp.hAPP @t2184 @t2300) (tptp.hAPP @t2250 @t2295)))) % 18.94/19.18 (assume @p1520 (forall @t1855 (=> @t2303 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 (tptp.hAPP @t2301 @t1767)) (tptp.hAPP @t2301 @t1766)))))) % 18.94/19.18 (assume @p1521 (forall @t2299 (= @t2300 @t2304))) % 18.94/19.18 (assume @p1522 (forall @t1850 (= (tptp.hAPP @t2305 (tptp.hAPP @t2306 @t70)) (tptp.hAPP @t2306 (tptp.hAPP @t2305 @t70))))) % 18.94/19.18 (assume @p1523 (forall @t2308 (= (tptp.hAPP (tptp.hAPP @t2201 @t2288) @t2307) (tptp.hAPP @t2287 (tptp.hAPP (tptp.hAPP @t2201 @t2281) @t2307))))) % 18.94/19.18 (assume @p1524 (forall @t2310 (= (tptp.hBOOL (tptp.hAPP @t2266 @t1622)) (and (tptp.hBOOL (tptp.hAPP @t2309 @t1622)) (not (= @t513 @t1622)))))) % 18.94/19.18 (assume @p1525 (forall (@list @t70 @t2311 @t2278 @t2312) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2312) @t2278)) (=> @t2313 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP (tptp.hAPP @t2201 @t2312) @t2311)) @t2304)))))) % 18.94/19.18 (assume @p1526 (forall @t1855 (=> @t2197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP @t2314 @t1791)) (tptp.hAPP (tptp.hAPP @t2201 @t1766) @t1791)))))) % 18.94/19.18 (assume @p1527 (forall @t1830 (or (tptp.hBOOL (tptp.hAPP @t2316 @t64)) @t76 (tptp.hBOOL (tptp.hAPP @t2315 @t32))))) % 18.94/19.18 (assume @p1528 (forall @t2299 (= (tptp.hAPP (tptp.hAPP @t2194 @t2249) @t2278) (tptp.hAPP @t2184 @t2318)))) % 18.94/19.18 (assume @p1529 (forall @t2299 (= @t2318 @t2319))) % 18.94/19.18 (assume @p1530 (forall @t2308 (= (tptp.hAPP (tptp.hAPP @t2194 (tptp.hAPP @t2285 @t2281)) @t2307) (tptp.hAPP @t2285 (tptp.hAPP @t2282 @t2307))))) % 18.94/19.18 (assume @p1531 (forall @t2243 (= (tptp.hAPP @t2317 @t2205) @t70))) % 18.94/19.18 (assume @p1532 (forall @t2243 (= (tptp.hAPP (tptp.hAPP @t2194 @t2205) @t70) @t70))) % 18.94/19.18 (assume @p1533 (forall @t2243 (= (tptp.hAPP @t2184 @t2249) @t70))) % 18.94/19.18 (assume @p1534 (forall @t2299 (=> @t2323 (=> @t2321 (= @t70 @t2278))))) % 18.94/19.18 (assume @p1535 (forall @t1855 (=> @t2303 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t1766) @t1791)) (tptp.hBOOL (tptp.hAPP @t2302 @t1791)))))) % 18.94/19.18 (assume @p1536 (forall @t2299 (or @t2323 @t2321))) % 18.94/19.18 (assume @p1537 (forall @t2324 (tptp.hBOOL (tptp.hAPP @t2320 @t2278)))) % 18.94/19.18 (assume @p1538 (forall @t1593 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t2326) @t192) @t2325))) % 18.94/19.18 (assume @p1539 (forall @t1593 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2326 @t192) @t2327))) % 18.94/19.18 (assume @p1540 (forall @t1593 (= (tptp.hAPP @t2251 (tptp.hAPP (tptp.hAPP @t2201 @t192) @t2205)) @t2328))) % 18.94/19.18 (assume @p1541 (forall @t2335 (=> @t2334 (=> @t2333 (=> (tptp.hBOOL (tptp.hAPP @t2330 @t81)) (tptp.hBOOL (tptp.hAPP @t2263 @t2329))))))) % 18.94/19.18 (assume @p1542 (forall @t2335 (=> @t2334 (=> @t2333 (=> @t2337 (tptp.hBOOL (tptp.hAPP @t2336 @t2205))))))) % 18.94/19.18 (assume @p1543 (forall @t2346 (=> @t2345 (=> @t2343 (=> @t2340 (tptp.hBOOL (tptp.hAPP @t2233 @t2338))))))) % 18.94/19.18 (assume @p1544 (forall @t2346 (=> @t2349 (=> @t2348 (=> @t2340 (tptp.hBOOL (tptp.hAPP @t2347 @t2188))))))) % 18.94/19.18 (assume @p1545 (forall @t2355 (=> @t2354 (=> @t2348 (=> (tptp.hBOOL (tptp.hAPP @t2342 @t85)) (=> @t2351 @t2350)))))) % 18.94/19.18 (assume @p1546 (forall @t2359 (=> @t2358 (=> @t2345 (=> @t2343 (=> @t2337 (=> @t2340 (=> @t2357 @t2356)))))))) % 18.94/19.18 (assume @p1547 (forall @t1593 (tptp.hBOOL (tptp.hAPP @t2258 @t2328)))) % 18.94/19.18 (assume @p1548 (forall @t1593 (tptp.hBOOL (tptp.hAPP @t2258 @t2252)))) % 18.94/19.18 (assume @p1549 (forall @t1593 (tptp.hBOOL (tptp.hAPP @t2258 @t2327)))) % 18.94/19.18 (assume @p1550 (forall @t1593 (tptp.hBOOL (tptp.hAPP @t2258 @t2325)))) % 18.94/19.18 (assume @p1551 (not (tptp.hBOOL (tptp.hAPP @t2258 (tptp.c_Orderings_Otop__class_Otop @t2271))))) % 18.94/19.18 (assume @p1552 (forall @t2359 (=> @t2358 (=> @t2349 (=> @t2351 (=> @t2348 (=> @t2340 (=> @t2357 @t2350)))))))) % 18.94/19.18 (assume @p1553 (forall @t2355 (=> @t2354 (=> @t2362 (=> @t2361 (=> (tptp.hBOOL (tptp.hAPP @t2360 @t2341)) @t2356)))))) % 18.94/19.18 (assume @p1554 (= @t2272 (tptp.hAPP @t2363 @t1816))) % 18.94/19.18 (assume @p1555 (forall @t2365 (= (tptp.hBOOL (tptp.hAPP @t1592 @t23)) (tptp.hBOOL (tptp.hAPP @t2258 @t2364))))) % 18.94/19.18 (assume @p1556 (= @t2205 @t2206)) % 18.94/19.18 (assume @p1557 (forall @t1830 (= (tptp.hAPP (tptp.hAPP @t2194 @t2368) @t2367) (tptp.hAPP @t2182 @t2366)))) % 18.94/19.18 (assume @p1558 (forall @t1830 (= (tptp.hAPP (tptp.hAPP @t2201 @t2368) @t2367) (tptp.hAPP @t2182 (tptp.hAPP @t1847 @t64))))) % 18.94/19.18 (assume @p1559 (forall @t2370 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t2220) @t2219)) @t2369))) % 18.94/19.18 (assume @p1560 (forall @t2375 (= (tptp.hBOOL (tptp.hAPP @t2374 @t22)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t2364) @t2371))))) % 18.94/19.18 (assume @p1561 (forall @t2375 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2377 @t23) @t22)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2376 @t2364) @t2371))))) % 18.94/19.18 (assume @p1562 (forall @t2375 (= @t24 (= @t2364 @t2371)))) % 18.94/19.18 (assume @p1563 (forall @t2380 (= (tptp.hBOOL (tptp.hAPP @t2379 @t23)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2378 @t2220) @t2364))))) % 18.94/19.18 (assume @p1564 (forall @t2370 (= (= @t2220 @t2219) @t98))) % 18.94/19.18 (assume @p1565 (tptp.hBOOL (tptp.hAPP @t2233 @t2188))) % 18.94/19.18 (assume @p1566 (= @t2188 @t2189)) % 18.94/19.18 (assume @p1567 (forall @t1830 (=> @t2383 (=> @t2382 (tptp.hBOOL (tptp.hAPP @t2233 @t2381)))))) % 18.94/19.18 (assume @p1568 (forall @t2243 (tptp.hBOOL (tptp.hAPP @t2233 @t2384)))) % 18.94/19.18 (assume @p1569 (forall @t2387 (= (exists @t7 (and @t2386 @t314)) (exists @t7 @t2385)))) % 18.94/19.18 (assume @p1570 (forall @t2387 (= (forall @t7 (=> @t2386 @t314)) (forall @t7 @t2385)))) % 18.94/19.18 (assume @p1571 (tptp.hBOOL (tptp.hAPP @t2233 @t2205))) % 18.94/19.18 (assume @p1572 (forall @t1830 (=> @t2383 (=> @t2382 (tptp.hBOOL (tptp.hAPP @t2233 @t2388)))))) % 18.94/19.18 (assume @p1573 (forall @t2370 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2220) @t2219)) @t2166))) % 18.94/19.18 (assume @p1574 (forall @t2401 (=> @t2400 (forall @t7 (=> @t2399 (=> @t2392 (tptp.hBOOL (tptp.hAPP @t2391 @t2390)))))))) % 18.94/19.18 (assume @p1575 (forall @t2406 (=> @t2400 (forall @t7 (=> @t2405 (=> @t2404 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t2403) @t909)))))))) % 18.94/19.18 (assume @p1576 (forall @t2409 (=> @t2400 (=> @t2408 (forall @t7 (=> @t2399 (=> @t2404 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t2390) @t909))))))))) % 18.94/19.18 (assume @p1577 (forall @t2412 (=> @t2400 (=> @t2411 (forall @t7 (=> @t2405 (=> @t2392 (tptp.hBOOL (tptp.hAPP @t2391 @t2403))))))))) % 18.94/19.18 (assume @p1578 (forall @t2416 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t38) (=> @t1335 (=> @t30 (=> (forall @t1220 (=> @t1219 (tptp.hBOOL (tptp.hAPP @t2415 (tptp.hAPP @t2 @t1217))))) @t2414)))))) % 18.94/19.18 (assume @p1579 (forall (@list @t56 @t215) (=> @t2420 (=> (forall @t2418 (= @t314 (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t2402 (tptp.hAPP (tptp.hAPP @t2194 @t1883) @t215)))))) (= @t174 (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t2417 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2205 @t215))) @t314))))))) % 18.94/19.18 (assume @p1580 (forall @t2409 (=> @t2400 (=> @t2423 (forall @t7 (=> @t2399 (=> @t2421 (not (= @t2390 @t909))))))))) % 18.94/19.18 (assume @p1581 (forall @t2412 (=> @t2400 (=> @t2424 (forall @t7 (=> @t2405 (=> @t2421 (not (= @t2403 @t909))))))))) % 18.94/19.18 (assume @p1582 (forall @t2412 (=> @t2400 (=> @t2424 (forall @t7 (=> @t2405 (=> @t2426 (tptp.hBOOL (tptp.hAPP @t2425 @t2403))))))))) % 18.94/19.18 (assume @p1583 (forall @t2409 (=> @t2400 (=> @t2423 (forall @t7 (=> @t2399 (=> @t2427 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2390) @t909))))))))) % 18.94/19.18 (assume @p1584 (forall @t2409 (=> @t2400 (=> @t2408 (=> (forall @t7 (=> @t2428 (forall @t312 (=> (tptp.hBOOL (tptp.hAPP @t2397 @t23)) (not (= @t909 (tptp.hAPP (tptp.hAPP @t2211 @t309) @t3))))))) (= (tptp.hAPP @t2407 @t523) @t909)))))) % 18.94/19.18 (assume @p1585 (forall @t2412 (=> @t2400 (=> @t2411 (=> (forall @t7 (=> @t2428 (forall @t312 (=> (tptp.hBOOL (tptp.hAPP @t2397 @t22)) (not (= @t909 (tptp.hAPP (tptp.hAPP @t2201 @t309) @t3))))))) (= (tptp.hAPP @t2410 @t523) @t909)))))) % 18.94/19.18 (assume @p1586 (forall @t2401 (=> @t2400 (forall @t7 (=> @t2399 (=> @t2426 (tptp.hBOOL (tptp.hAPP @t2425 @t2390)))))))) % 18.94/19.18 (assume @p1587 (forall @t2406 (=> @t2400 (forall @t7 (=> @t2405 (=> @t2427 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2403) @t909)))))))) % 18.94/19.18 (assume @p1588 (forall @t1581 (=> @t1568 (=> @t1580 (=> @t1579 (=> (forall @t7 (=> @t1577 @t2431)) (= (tptp.hAPP @t1486 @t1575) (tptp.hAPP (tptp.hAPP @t1585 @t2430) @t2429)))))))) % 18.94/19.18 (assume @p1589 (forall @t1484 (=> @t1568 (=> @t1292 (=> @t1335 (=> (forall @t7 (=> @t2432 (= @t4 @t2088))) @t1748)))))) % 18.94/19.18 (assume @p1590 (forall @t2416 (=> (and @t1568 @t2434) (=> @t1335 (=> @t30 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t317 @t898)) @t2433)) @t2414)))))) % 18.94/19.18 (assume @p1591 (forall (@list @t38 @t1104 @t2 @t348 @t10 @t150) (=> @t1555 (=> @t1580 (=> (forall @t7 (=> @t739 (forall @t199 (=> (tptp.hBOOL (tptp.hAPP @t2437 @t348)) (=> (not @t2436) (=> @t2435 (= (tptp.hAPP @t1104 @t5) (tptp.c_Groups_Ozero__class_Ozero @t150)))))))) (= (tptp.hAPP @t1554 @t737) (tptp.hAPP @t1552 @t348))))))) % 18.94/19.18 (assume @p1592 (forall @t2230 (=> (forall @t2229 (= @t2227 @t2226)) (= @t2158 @t2223)))) % 18.94/19.18 (assume @p1593 (forall @t436 (=> (forall @t2229 (tptp.hBOOL (tptp.hAPP @t2228 @t60))) (tptp.hBOOL (tptp.hAPP @t2224 @t60))))) % 18.94/19.18 (assume @p1594 (forall @t2444 (and @t2443 (=> (not @t2440) (= @t2438 @t2188))))) % 18.94/19.18 (assume @p1595 (forall @t751 (=> @t2085 (=> @t2447 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t2445) @t1939)) @t2054))))) % 18.94/19.18 (assume @p1596 (forall @t2453 (= (tptp.hAPP (tptp.hAPP @t1752 @t2452) (tptp.hAPP (tptp.hAPP @t2450 (tptp.hAPP (tptp.hAPP @t2449 @t2448) (tptp.hAPP (tptp.hAPP @t1604 @t1752) @t215))) @t1934)) (tptp.hAPP @t2003 (tptp.hAPP @t2448 (tptp.hAPP @t2448 (tptp.hAPP (tptp.hAPP @t1752 @t1930) @t215))))))) % 18.94/19.18 (assume @p1597 (forall @t376 (=> @t1292 @t2458))) % 18.94/19.18 (assume @p1598 (forall @t1821 (tptp.hBOOL (tptp.hAPP @t1820 @t2459)))) % 18.94/19.18 (assume @p1599 (forall @t1852 (=> @t1865 @t2462))) % 18.94/19.18 (assume @p1600 (forall @t1821 (tptp.hBOOL (tptp.hAPP @t1951 @t2459)))) % 18.94/19.18 (assume @p1601 (forall @t1813 (tptp.hBOOL (tptp.hAPP @t2464 @t2200)))) % 18.94/19.18 (assume @p1602 (forall @t2259 (= (tptp.hAPP @t2466 (tptp.hAPP @t1784 @t192)) @t2465))) % 18.94/19.18 (assume @p1603 (forall @t1821 (not (= @t1536 @t2459)))) % 18.94/19.18 (assume @p1604 (forall @t1821 (not (= @t2459 @t1536)))) % 18.94/19.18 (assume @p1605 (forall (@list @t2467 @t2468) (= (= @t2469 (tptp.hAPP tptp.c_Nat_OSuc @t2467)) (= @t2468 @t2467)))) % 18.94/19.18 (assume @p1606 (forall @t1830 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t32) (tptp.hAPP tptp.c_Nat_OSuc @t64)) @t76))) % 18.94/19.18 (assume @p1607 (tptp.c_Orderings_Oorder__class_Omono tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 18.94/19.18 (assume @p1608 (forall @t2365 (= @t2471 (tptp.hAPP @t2470 @t2364)))) % 18.94/19.18 (assume @p1609 (forall @t1593 (= (tptp.hAPP @t2466 @t1789) (tptp.hAPP (tptp.hAPP @t1548 @t2465) @t395)))) % 18.94/19.18 (assume @p1610 (forall @t1063 (=> @t105 (= (tptp.c_Orderings_Oorder__class_Omono tptp.tc_Nat_Onat @t10 @t2) (forall @t2229 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2473) (tptp.hAPP @t2 @t2472)))))))) % 18.94/19.18 (assume @p1611 (= (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))) @t1599)) % 18.94/19.18 (assume @p1612 (forall @t1921 (not (= @t2460 @t1949)))) % 18.94/19.18 (assume @p1613 (forall @t1921 (not (= @t1949 @t2460)))) % 18.94/19.18 (assume @p1614 (forall (@list @t2474) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t2474) @t1949)))) % 18.94/19.18 (assume @p1615 (forall (@list @t2475) (not (= @t1949 (tptp.hAPP tptp.c_Nat_OSuc @t2475))))) % 18.94/19.18 (assume @p1616 (forall @t1827 (= (not @t1824) @t2477))) % 18.94/19.18 (assume @p1617 (forall @t1827 (= @t2479 @t1882))) % 18.94/19.18 (assume @p1618 (forall @t1827 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t2476) @t2478)) @t1824))) % 18.94/19.18 (assume @p1619 (forall @t2097 (=> @t2482 @t2481))) % 18.94/19.18 (assume @p1620 (forall @t1813 (=> (not @t1833) (=> (tptp.hBOOL (tptp.hAPP @t1820 @t2460)) @t1831)))) % 18.94/19.18 (assume @p1621 (forall @t1852 (=> @t1865 @t2483))) % 18.94/19.18 (assume @p1622 (forall @t1852 (=> @t1865 (=> (not (= @t2460 @t1536)) @t2484)))) % 18.94/19.18 (assume @p1623 (forall @t1855 (=> @t1874 (=> @t1897 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t2485) @t1791)))))) % 18.94/19.18 (assume @p1624 (forall @t1852 (=> @t2483 (=> @t1926 @t1831)))) % 18.94/19.18 (assume @p1625 (forall @t1852 (=> @t2484 @t1865))) % 18.94/19.18 (assume @p1626 (forall @t1852 (=> @t2462 @t1865))) % 18.94/19.18 (assume @p1627 (forall @t1852 (= @t2487 @t2486))) % 18.94/19.18 (assume @p1628 (forall @t1852 (= @t2487 @t2488))) % 18.94/19.18 (assume @p1629 (forall @t1852 (= @t2486 @t2488))) % 18.94/19.18 (assume @p1630 (forall @t1821 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2459) @t1536))))) % 18.94/19.18 (assume @p1631 (forall @t1827 (= @t1941 @t2490))) % 18.94/19.18 (assume @p1632 (forall @t1827 (= @t2491 (or @t1516 (= @t561 @t2478))))) % 18.94/19.18 (assume @p1633 (forall @t2097 (= (tptp.hBOOL (tptp.hAPP @t2489 @t2476)) @t2492))) % 18.94/19.18 (assume @p1634 (forall @t1852 (=> @t1854 @t2493))) % 18.94/19.18 (assume @p1635 (forall @t1852 (=> @t2493 (=> (not @t1854) (= @t1537 @t2459))))) % 18.94/19.18 (assume @p1636 (forall @t1852 (=> @t2494 @t1854))) % 18.94/19.18 (assume @p1637 (forall @t652 (=> @t1262 @t2497))) % 18.94/19.18 (assume @p1638 (forall @t1852 (= (tptp.hAPP @t2498 @t2459) @t1810))) % 18.94/19.18 (assume @p1639 (forall @t1846 (= (tptp.hAPP (tptp.hAPP @t1548 @t2499) (tptp.hAPP tptp.c_Nat_OSuc @t1791)) (tptp.hAPP (tptp.hAPP @t1548 @t1810) @t1791)))) % 18.94/19.18 (assume @p1640 (forall @t1841 (= (= @t2503 @t2502) @t1825))) % 18.94/19.18 (assume @p1641 (forall @t1593 (= (tptp.hAPP @t2466 @t1783) (tptp.hAPP @t2505 @t2504)))) % 18.94/19.18 (assume @p1642 (forall @t2259 (= (tptp.hAPP @t2466 (tptp.hAPP @t1787 @t192)) @t192))) % 18.94/19.18 (assume @p1643 (forall @t376 (=> @t1292 (and (=> @t335 (= @t2506 @t2455)) @t2507)))) % 18.94/19.18 (assume @p1644 (forall @t376 (=> @t1292 @t2507))) % 18.94/19.18 (assume @p1645 (forall @t2510 (=> @t2509 (=> @t2132 (= @t2508 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t56) tptp.c_Nat_OSuc)))))))) % 18.94/19.18 (assume @p1646 (forall (@list @t207 @t831 @t2180 @t10) (=> @t2178 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t2180 @t2478 @t207) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t2180 @t831 (tptp.hAPP @t2180 @t207)))))) % 18.94/19.18 (assume @p1647 (forall @t376 (=> @t1292 (= @t2506 @t2511)))) % 18.94/19.18 (assume @p1648 (forall @t658 (= (tptp.hAPP @t2454 @t749) @t1949))) % 18.94/19.18 (assume @p1649 (forall @t51 @t2513)) % 18.94/19.18 (assume @p1650 (forall @t1620 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t1428))) % 18.94/19.18 (assume @p1651 (forall @t51 (=> @t1326 (=> (= @t2455 @t2514) (= @t23 @t600))))) % 18.94/19.18 (assume @p1652 (forall @t760 (=> @t1088 @t2516))) % 18.94/19.18 (assume @p1653 (forall @t1339 (=> @t1292 (=> @t1340 (= (exists @t736 (tptp.c_Fun_Obij__betw @t10 @t38 @t735 @t23 @t22)) @t2497))))) % 18.94/19.18 (assume @p1654 (forall @t1827 (= @t2479 (or @t1993 (exists @t2519 (and (= @t561 (tptp.hAPP tptp.c_Nat_OSuc @t2517)) (tptp.hBOOL (tptp.hAPP @t2518 @t831)))))))) % 18.94/19.18 (assume @p1655 (forall @t1989 (= (tptp.hBOOL (tptp.hAPP @t1822 @t2451)) @t1987))) % 18.94/19.18 (assume @p1656 (forall @t1989 (= @t1952 (exists @t1618 @t2520)))) % 18.94/19.18 (assume @p1657 (forall @t1827 (= (= @t2451 @t1994) @t2523))) % 18.94/19.18 (assume @p1658 (forall @t1827 (= (= @t1994 @t2451) @t2523))) % 18.94/19.18 (assume @p1659 (forall @t2525 (tptp.hBOOL (tptp.hAPP @t1862 (tptp.hAPP tptp.c_Nat_OSuc @t2524))))) % 18.94/19.18 (assume @p1660 (forall @t2525 (tptp.hBOOL (tptp.hAPP @t1862 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1844 @t1767)))))) % 18.94/19.18 (assume @p1661 (forall @t1827 (= @t1824 (exists @t1885 (= @t831 (tptp.hAPP tptp.c_Nat_OSuc @t1884)))))) % 18.94/19.18 (assume @p1662 (forall @t2097 (= @t1823 @t2490))) % 18.94/19.18 (assume @p1663 (forall @t1827 (= @t2479 @t1516))) % 18.94/19.18 (assume @p1664 (forall @t1827 (= @t2526 @t1824))) % 18.94/19.18 (assume @p1665 (forall @t1852 (=> @t1854 @t2483))) % 18.94/19.18 (assume @p1666 (forall @t1852 (=> @t1865 @t2494))) % 18.94/19.18 (assume @p1667 (forall @t1827 (=> @t1516 @t2481))) % 18.94/19.18 (assume @p1668 (forall @t1852 (=> @t2494 @t1865))) % 18.94/19.18 (assume @p1669 (forall @t1827 (= (= @t1924 @t2451) (and @t2522 @t2521)))) % 18.94/19.18 (assume @p1670 (forall @t1593 (= (tptp.hAPP @t2466 @t1591) @t2527))) % 18.94/19.18 (assume @p1671 (forall @t1852 (tptp.hBOOL (tptp.hAPP @t2094 @t2460)))) % 18.94/19.18 (assume @p1672 (forall @t1841 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t2503) @t2502)) @t1824))) % 18.94/19.18 (assume @p1673 (forall @t1852 (= (tptp.hAPP (tptp.hAPP @t1752 @t2460) @t1536) (tptp.hAPP @t1842 @t1860)))) % 18.94/19.18 (assume @p1674 (forall @t1852 (= (tptp.hAPP @t1859 @t2459) (tptp.hAPP @t1844 @t1860)))) % 18.94/19.18 (assume @p1675 (forall @t1813 (=> @t1812 (= @t2499 (tptp.hAPP tptp.c_Nat_OSuc @t1810))))) % 18.94/19.18 (assume @p1676 (forall @t1841 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2503) @t2502)) @t1516))) % 18.94/19.18 (assume @p1677 (= @t1599 @t2451)) % 18.94/19.18 (assume @p1678 (forall @t1821 (= @t2459 @t2528))) % 18.94/19.18 (assume @p1679 (forall @t1821 (= @t2459 @t2530))) % 18.94/19.18 (assume @p1680 (forall @t1821 (= (tptp.hAPP (tptp.hAPP @t1548 @t2459) @t1599) @t1536))) % 18.94/19.18 (assume @p1681 (forall @t1852 (= (tptp.hAPP @t1780 @t2459) (tptp.hAPP (tptp.hAPP @t1548 @t2170) @t1536)))) % 18.94/19.18 (assume @p1682 (forall (@list @t118 @t2) (=> (= @t2532 @t1949) (= (tptp.hAPP @t2531 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2451 @t118)) (tptp.hAPP @t2531 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1949 @t118)))))) % 18.94/19.18 (assume @p1683 (forall @t376 (=> @t1292 (=> @t335 (= @t2511 @t2455))))) % 18.94/19.18 (assume @p1684 (forall @t1593 (= (tptp.hAPP @t1590 @t2465) @t1789))) % 18.94/19.18 (assume @p1685 (forall @t1989 (= @t1822 @t2489))) % 18.94/19.18 (assume @p1686 (forall @t51 (= @t2455 (tptp.hAPP (tptp.hAPP @t1544 @t2533) @t23)))) % 18.94/19.18 (assume @p1687 (forall @t1593 (= (tptp.hAPP @t2466 @t1790) @t2527))) % 18.94/19.18 (assume @p1688 (forall @t1786 (= @t2534 @t1785))) % 18.94/19.18 (assume @p1689 (forall @t1786 (= @t2534 (tptp.hAPP @t2535 @t1788)))) % 18.94/19.18 (assume @p1690 (forall @t2539 (= (tptp.hAPP @t2538 @t1647) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2537) @t2536)))) % 18.94/19.18 (assume @p1691 (forall @t1786 (= (tptp.hAPP @t1784 @t2500) (tptp.hAPP @t2540 @t1785)))) % 18.94/19.18 (assume @p1692 (forall @t1327 (=> @t1334 (=> (not (= (tptp.hAPP @t2495 @t612) @t2451)) @t1326)))) % 18.94/19.18 (assume @p1693 (forall @t2543 (=> @t1502 (= (tptp.hAPP @t1506 (tptp.hAPP @t2542 @t2478)) (tptp.hAPP @t2541 @t1509))))) % 18.94/19.18 (assume @p1694 (forall @t2539 (= (tptp.hAPP @t2538 @t1797) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2537 @t2536)))) % 18.94/19.18 (assume @p1695 (forall @t2543 (=> @t1502 (= (tptp.hAPP @t1506 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2476 @t2478)) (tptp.hAPP @t2541 @t1601))))) % 18.94/19.18 (assume @p1696 (forall @t51 (= @t2512 (or @t754 @t2089)))) % 18.94/19.18 (assume @p1697 (forall @t1593 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2504 @t192) @t1790))) % 18.94/19.18 (assume @p1698 (forall @t51 (=> @t2544 @t1292))) % 18.94/19.18 (assume @p1699 (forall @t376 (=> @t1292 (tptp.hBOOL (tptp.hAPP @t2545 @t2506))))) % 18.94/19.18 (assume @p1700 (forall @t206 (=> @t1335 (=> @t30 (tptp.hBOOL (tptp.hAPP @t2545 @t2546)))))) % 18.94/19.18 (assume @p1701 (forall @t206 (=> @t1335 (=> @t30 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2546) @t2455)) @t24))))) % 18.94/19.18 (assume @p1702 (forall @t1445 (=> @t1292 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2515) @t2455))))) % 18.94/19.18 (assume @p1703 (forall @t1593 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2504) @t192) @t1783))) % 18.94/19.18 (assume @p1704 (forall @t658 (=> @t2548 (tptp.hBOOL (tptp.hAPP @t2547 @t2446))))) % 18.94/19.18 (assume @p1705 (forall @t1445 (=> @t1292 (=> @t2516 @t1088)))) % 18.94/19.18 (assume @p1706 (forall @t1445 (=> @t1292 (= @t1088 @t2516)))) % 18.94/19.18 (assume @p1707 (forall @t760 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 (tptp.hAPP @t2454 @t606)) @t2549)) (not @t1343)))) % 18.94/19.18 (assume @p1708 (forall @t421 (=> @t2548 (=> @t2447 (=> @t2551 (tptp.hBOOL (tptp.hAPP @t2550 @t2446))))))) % 18.94/19.18 (assume @p1709 (forall @t421 (=> @t2548 (=> @t2447 (=> @t2551 (tptp.hBOOL (tptp.hAPP @t2552 @t2446))))))) % 18.94/19.18 (assume @p1710 (forall @t421 (=> @t2548 (=> @t2447 (=> @t2551 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t866) @t2446))))))) % 18.94/19.18 (assume @p1711 (forall @t658 (=> @t2548 (tptp.hBOOL (tptp.hAPP @t2553 @t2446))))) % 18.94/19.18 (assume @p1712 (forall @t751 (=> @t2548 (=> @t2447 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t419) @t2446)))))) % 18.94/19.18 (assume @p1713 (forall @t832 (=> @t2548 (tptp.hBOOL (tptp.hAPP @t2554 @t2446))))) % 18.94/19.18 (assume @p1714 (forall @t206 (=> @t1335 (=> @t1033 @t2555)))) % 18.94/19.18 (assume @p1715 (forall @t1711 (=> @t1959 (= (tptp.hAPP @t1956 @t2460) (tptp.hAPP @t1708 @t1957))))) % 18.94/19.18 (assume @p1716 (forall @t1821 (=> @t1992 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1906 @t2451)) @t1536)))) % 18.94/19.18 (assume @p1717 (forall (@list @t1767 @t1536) (=> @t1992 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 (tptp.hAPP @t1906 @t2485)) @t1536))))) % 18.94/19.18 (assume @p1718 (forall @t1813 (=> @t2558 (=> @t2557 (tptp.hBOOL (tptp.hAPP @t2556 @t1860)))))) % 18.94/19.18 (assume @p1719 (forall @t1813 (=> @t2558 (=> @t2557 (tptp.hBOOL (tptp.hAPP @t1820 @t1861)))))) % 18.94/19.18 (assume @p1720 (forall @t1813 (=> @t2558 (=> @t2557 (tptp.hBOOL (tptp.hAPP @t1820 @t1860)))))) % 18.94/19.18 (assume @p1721 (forall @t1827 (= (tptp.hBOOL (tptp.hAPP @t2559 @t1924)) (and (tptp.hBOOL (tptp.hAPP @t2559 @t561)) (tptp.hBOOL (tptp.hAPP @t2559 @t831)))))) % 18.94/19.18 (assume @p1722 (forall @t2562 (=> @t1805 (= (tptp.hAPP (tptp.hAPP @t1548 @t2561) @t1537) (tptp.hAPP (tptp.hAPP @t1548 @t2560) @t1899))))) % 18.94/19.18 (assume @p1723 (forall @t2562 (=> @t1805 (= (tptp.hAPP @t1780 @t2561) (tptp.hAPP @t1901 @t2560))))) % 18.94/19.18 (assume @p1724 (= (tptp.hAPP @t2182 @t2451) @t2205)) % 18.94/19.18 (assume @p1725 (forall @t2248 (= @t2274 (exists @t2229 (= @t513 (tptp.hAPP @t2245 @t2563)))))) % 18.94/19.18 (assume @p1726 (forall @t1921 (= (tptp.hAPP @t2182 @t2460) (tptp.hAPP @t2260 @t2200)))) % 18.94/19.18 (assume @p1727 (forall @t1061 (=> @t1292 (= (= @t1547 @t2451) (exists @t7 (and @t326 (= @t5 @t2451) @t2137)))))) % 18.94/19.18 (assume @p1728 (forall (@list @t23 @t97 @t38 @t10) (=> @t2178 (= (tptp.hAPP (tptp.hAPP @t1496 (tptp.hAPP @t1160 @t97)) @t23) (tptp.hAPP (tptp.hAPP @t1212 (tptp.hAPP @t1931 @t2549)) @t97))))) % 18.94/19.18 (assume @p1729 (forall @t1786 (= @t2565 @t2564))) % 18.94/19.18 (assume @p1730 (forall @t1827 (=> @t2491 (= @t2566 (tptp.hAPP (tptp.hAPP @t2007 @t2478) @t1601))))) % 18.94/19.18 (assume @p1731 (forall (@list @t118 @t23) (=> (tptp.hBOOL (tptp.hAPP @t2374 @t2567)) (= @t23 @t2567)))) % 18.94/19.18 (assume @p1732 (forall @t2006 (= (tptp.hAPP @t1508 @t2476) (tptp.hAPP (tptp.hAPP @t2007 @t561) @t1816)))) % 18.94/19.18 (assume @p1733 (forall @t51 (= @t2544 (and @t756 @t1292)))) % 18.94/19.18 (assume @p1734 (forall @t658 (=> @t1326 (tptp.hBOOL (tptp.hAPP @t1951 @t2514))))) % 18.94/19.18 (assume @p1735 (forall @t2570 (=> @t1502 (= (tptp.hAPP @t1506 @t2569) (tptp.hAPP (tptp.hAPP @t1594 (tptp.hAPP @t1506 @t1934)) @t2568))))) % 18.94/19.18 (assume @p1736 (forall @t31 (=> @t1292 (=> @t1335 (= @t2575 @t2573))))) % 18.94/19.18 (assume @p1737 (forall @t31 (=> @t1292 (=> @t1335 (= @t2573 @t2575))))) % 18.94/19.18 (assume @p1738 (forall @t2578 (=> @t1088 (=> @t748 (=> @t2577 (=> @t2576 (=> @t1292 (=> @t1340 @t2497)))))))) % 18.94/19.18 (assume @p1739 (forall @t2570 (=> @t1502 (= (tptp.hAPP @t1506 (tptp.hAPP @t1784 @t2478)) (tptp.hAPP (tptp.hAPP @t1594 (tptp.hAPP @t1506 @t1795)) @t2579))))) % 18.94/19.18 (assume @p1740 (forall @t206 (=> @t1335 (=> @t28 (= @t2581 @t2580))))) % 18.94/19.18 (assume @p1741 (forall @t31 (=> (tptp.hBOOL (tptp.hAPP @t1291 @t603)) (= @t2581 (tptp.hAPP @t2456 @t2571))))) % 18.94/19.18 (assume @p1742 (forall @t206 (=> @t1335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2580) @t2581))))) % 18.94/19.18 (assume @p1743 (forall @t206 (=> @t1335 (=> @t30 (=> @t2555 @t1033))))) % 18.94/19.18 (assume @p1744 (forall @t1821 (=> @t1992 (= @t2583 @t1536)))) % 18.94/19.18 (assume @p1745 (forall @t1821 (=> @t1992 (= @t1536 @t2583)))) % 18.94/19.18 (assume @p1746 (forall @t1852 (and (=> @t2103 (= @t1845 @t1536)) (=> @t2171 (= @t1845 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1596 @t2170) @t1536))))))) % 18.94/19.18 (assume @p1747 (forall @t1786 (= @t2565 (tptp.hAPP (tptp.hAPP @t2584 (tptp.hAPP @t1819 @t118)) (tptp.hAPP @t2535 @t1816))))) % 18.94/19.18 (assume @p1748 (forall @t1786 (= (tptp.hAPP @t1817 @t2500) (tptp.hAPP (tptp.hAPP @t2584 @t2564) (tptp.hAPP @t2540 @t1816))))) % 18.94/19.18 (assume @p1749 (forall @t1821 (not (tptp.hBOOL (tptp.hAPP @t2233 @t2463))))) % 18.94/19.18 (assume @p1750 (forall @t1821 (tptp.hBOOL (tptp.hAPP @t2464 @t2188)))) % 18.94/19.18 (assume @p1751 (forall @t51 @t2585)) % 18.94/19.18 (assume @p1752 (forall @t51 (and @t2585 @t2513))) % 18.94/19.18 (assume @p1753 (forall @t751 (=> @t2586 (=> @t2447 @t2210)))) % 18.94/19.18 (assume @p1754 (forall (@list @t118 @t2 @t10) (=> @t1502 (=> (= @t2532 @t1939) (= (tptp.hAPP @t1506 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2451) @t118)) (tptp.hAPP @t1506 (tptp.hAPP @t2106 @t118))))))) % 18.94/19.18 (assume @p1755 (forall @t1943 (=> @t1502 (=> @t1824 (= @t1510 (tptp.hAPP @t2587 (tptp.hAPP @t1506 (tptp.hAPP @t2542 @t831)))))))) % 18.94/19.18 (assume @p1756 (forall @t1943 (=> @t1502 (=> @t1516 (= @t1602 (tptp.hAPP @t2587 (tptp.hAPP @t1506 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2476 @t831)))))))) % 18.94/19.18 (assume @p1757 (forall @t1827 (and (=> @t1516 (= @t2588 (tptp.hAPP (tptp.hAPP @t2007 @t831) @t1509))) (=> @t1941 (= @t2588 @t1816))))) % 18.94/19.18 (assume @p1758 (forall @t31 (=> @t1292 (=> @t1335 (=> @t765 @t2589))))) % 18.94/19.18 (assume @p1759 (forall @t376 (=> @t1292 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2457) @t2455))))) % 18.94/19.18 (assume @p1760 (forall @t376 (=> @t1292 (=> @t874 (= @t2506 (tptp.hAPP @t2529 @t2455)))))) % 18.94/19.18 (assume @p1761 (forall @t652 (=> @t1088 (=> @t748 (=> @t1340 @t2590))))) % 18.94/19.18 (assume @p1762 (forall @t1339 (=> @t1292 (=> @t1340 (= (exists @t736 (and @t1121 (tptp.hBOOL (tptp.hAPP @t1120 @t22)))) @t2590))))) % 18.94/19.18 (assume @p1763 (forall @t1830 (=> @t2383 (=> @t2382 (tptp.hBOOL (tptp.hAPP @t2233 @t2438)))))) % 18.94/19.18 (assume @p1764 (forall @t2444 @t2443)) % 18.94/19.18 (assume @p1765 (forall @t1830 (= (tptp.c_Nat__Transfer_Otsub @t2368 @t2367) (tptp.hAPP @t2182 (tptp.hAPP (tptp.hAPP @t1548 @t32) @t64))))) % 18.94/19.18 (assume @p1766 (forall @t1989 (= @t2569 (tptp.hAPP @t2008 (tptp.hAPP @t2538 @t1934))))) % 18.94/19.18 (assume @p1767 (forall @t2592 (=> @t1502 (and (=> @t1823 (= @t2591 @t1939)) (=> @t2482 (= @t2591 (tptp.hAPP @t1595 @t2568))))))) % 18.94/19.18 (assume @p1768 (forall @t2592 (=> @t1502 (and (=> @t2595 (= @t2593 @t1939)) (=> (not @t2595) (= @t2593 (tptp.hAPP @t1603 @t2579))))))) % 18.94/19.18 (assume @p1769 (= (tptp.hAPP @t1817 @t1949) (tptp.hAPP @t2538 @t1798))) % 18.94/19.18 (assume @p1770 (forall @t376 (=> @t1292 (=> @t335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t2457) @t2455)))))) % 18.94/19.18 (assume @p1771 (forall (@list @t97 @t47 @t23 @t10) (=> @t1292 (=> @t335 (=> @t333 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 (tptp.hAPP @t2454 (tptp.hAPP (tptp.hAPP @t843 @t912) @t2596))) @t2455))))))) % 18.94/19.18 (assume @p1772 (forall @t751 (=> @t2586 (=> @t2447 (not (= @t2445 @t1939)))))) % 18.94/19.18 (assume @p1773 (forall @t852 (=> @t1292 (=> @t251 (=> @t837 (= (tptp.hAPP @t2454 @t851) (tptp.hAPP (tptp.hAPP @t1548 @t2581) @t1599))))))) % 18.94/19.18 (assume @p1774 (forall @t376 (=> @t1292 (= @t2506 @t2597)))) % 18.94/19.18 (assume @p1775 (forall @t376 (=> @t1292 (=> @t335 (= @t2455 @t2597))))) % 18.94/19.18 (assume @p1776 (forall @t376 (=> @t1292 (and @t2458 (=> @t874 (= @t2457 @t2455)))))) % 18.94/19.18 (assume @p1777 (forall @t31 (=> @t1292 (=> @t1335 (=> (=> (exists @t7 @t2432) @t2598) @t2589))))) % 18.94/19.18 (assume @p1778 (forall (@list @t2599 @t2 @t23 @t10 @t38) (=> (and @t2434 (tptp.class_Rings_Osemiring__1 @t38)) (=> (forall @t456 (=> @t455 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 @t2600) @t2599)))) (tptp.hBOOL (tptp.hAPP @t2413 (tptp.hAPP (tptp.hAPP @t1466 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t38) @t2455)) @t2599))))))) % 18.94/19.18 (assume @p1779 (forall (@list @t118 @t23 @t10) (= (= @t2455 @t2500) (exists (@list @t1217 @t2601) (and (= @t23 (tptp.hAPP (tptp.hAPP @t822 @t1217) @t2601)) (not (tptp.hBOOL (tptp.hAPP @t1218 @t2601))) (= (tptp.hAPP @t2454 @t2601) @t118) (=> @t1997 (= @t2601 @t749))))))) % 18.94/19.18 (assume @p1780 (forall @t1339 (and (=> @t2604 @t2605) (=> (not @t2604) (= @t2603 @t1949))))) % 18.94/19.18 (assume @p1781 (forall @t2259 (=> (tptp.hBOOL (tptp.hAPP @t2233 @t192)) (= @t2257 (tptp.hAPP @t2363 (tptp.hAPP @t1787 @t2606)))))) % 18.94/19.18 (assume @p1782 (forall (@list @t207 @t2 @t2608 @t10 @t38) (=> @t2613 (=> @t2612 (=> @t2611 (=> (= @t2610 @t2088) (=> @t2609 (= @t2607 @t2088)))))))) % 18.94/19.18 (assume @p1783 (forall @t1821 (= (tptp.hAPP tptp.c_Int_Onat @t2199) @t1536))) % 18.94/19.18 (assume @p1784 (= @t2614 @t1949)) % 18.94/19.18 (assume @p1785 (= @t1949 @t2614)) % 18.94/19.18 (assume @p1786 (forall (@list @t2615 @t513) (=> @t2618 (=> (tptp.hBOOL (tptp.hAPP @t2233 @t2615)) (= (= @t2617 @t2616) (= @t513 @t2615)))))) % 18.94/19.18 (assume @p1787 (forall @t2370 (=> @t2622 (=> @t2621 (= (= @t2620 @t2619) @t98))))) % 18.94/19.18 (assume @p1788 (forall @t2387 (= @t171 (forall @t7 (=> @t2386 @t2623))))) % 18.94/19.18 (assume @p1789 (forall @t2387 (= @t174 (exists @t7 (and @t2386 @t2623))))) % 18.94/19.18 (assume @p1790 (= @t1599 @t2624)) % 18.94/19.18 (assume @p1791 (forall @t2365 (= (tptp.hAPP @t2625 @t2364) @t23))) % 18.94/19.18 (assume @p1792 (forall @t2375 (= (tptp.hAPP (tptp.hAPP @t2627 @t23) @t22) (tptp.hAPP @t2625 (tptp.hAPP (tptp.hAPP @t2626 @t2364) @t2371))))) % 18.94/19.18 (assume @p1793 (forall @t2259 (= (tptp.hAPP @t2470 @t2257) @t2606))) % 18.94/19.18 (assume @p1794 (forall @t1593 (= (tptp.hAPP @t2470 @t2252) @t2628))) % 18.94/19.18 (assume @p1795 (forall @t1593 (= (tptp.hAPP @t2470 @t2327) @t2628))) % 18.94/19.18 (assume @p1796 (= @t1816 (tptp.hAPP @t2625 @t2272))) % 18.94/19.18 (assume @p1797 (forall @t2632 (= (= @t2631 @t1949) @t2630))) % 18.94/19.18 (assume @p1798 (forall @t2243 (=> @t2635 @t2634))) % 18.94/19.18 (assume @p1799 (forall @t2248 (= @t2638 (and @t2262 @t2274)))) % 18.94/19.18 (assume @p1800 (forall @t2310 (=> @t2262 @t2639))) % 18.94/19.18 (assume @p1801 (forall @t2370 (=> @t2622 (=> @t2621 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2620) @t2619)) @t2641))))) % 18.94/19.18 (assume @p1802 (= @t2624 @t2451)) % 18.94/19.18 (assume @p1803 (forall @t2243 @t2644)) % 18.94/19.18 (assume @p1804 (forall @t2645 (= (= @t2183 @t513) (and (= @t561 @t2617) @t2618)))) % 18.94/19.18 (assume @p1805 (forall @t2243 (and @t2644 (=> (not @t2265) (= @t2642 @t2188))))) % 18.94/19.18 (assume @p1806 (forall @t2645 (= (tptp.hBOOL (tptp.hAPP @t1755 @t2617)) (tptp.hBOOL (tptp.hAPP @t2191 @t513))))) % 18.94/19.18 (assume @p1807 (forall @t1821 (= (tptp.hAPP tptp.c_Int_Onat @t2231) @t1949))) % 18.94/19.18 (assume @p1808 (forall @t1827 (= @t1601 (tptp.hAPP @t2625 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2183 @t2185))))) % 18.94/19.18 (assume @p1809 (forall @t1101 (=> @t2651 (= (tptp.hAPP @t1506 @t23) (tptp.hAPP (tptp.hAPP @t2649 @t2648) @t2364))))) % 18.94/19.18 (assume @p1810 (forall @t2264 (= (tptp.hBOOL (tptp.hAPP @t1951 @t2617)) @t2262))) % 18.94/19.18 (assume @p1811 (forall @t2248 (=> @t2652 @t2639))) % 18.94/19.18 (assume @p1812 (forall @t2370 (=> @t2622 (=> @t2621 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t2620) @t2619)) @t2654))))) % 18.94/19.18 (assume @p1813 (forall (@list @t1622 @t561) (= (= @t561 @t2636) @t2655))) % 18.94/19.18 (assume @p1814 (forall @t2656 (= (= @t2636 @t561) @t2655))) % 18.94/19.18 (assume @p1815 (forall @t2248 (=> (or (tptp.hBOOL (tptp.hAPP @t2192 @t1622)) @t2618) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2636) @t2617)) @t2247)))) % 18.94/19.18 (assume @p1816 (forall @t2658 (= (tptp.hBOOL (tptp.hAPP @t56 @t2631)) (and (forall @t2229 (=> (= @t207 @t2244) (tptp.hBOOL (tptp.hAPP @t56 @t2225)))) (=> (tptp.hBOOL (tptp.hAPP @t2657 @t2188)) @t2128))))) % 18.94/19.18 (assume @p1817 (forall @t2661 (=> @t2265 (=> @t2660 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2242 @t2311)) (tptp.hAPP (tptp.hAPP @t1596 @t2633) @t2659)))))) % 18.94/19.18 (assume @p1818 (forall @t1830 (=> @t2383 (=> @t2382 (= (tptp.hAPP (tptp.hAPP @t1596 @t2663) @t2662) (tptp.hAPP tptp.c_Int_Onat @t2381)))))) % 18.94/19.18 (assume @p1819 (forall @t2661 (=> @t2265 (= @t2664 (tptp.hAPP (tptp.hAPP @t1752 @t2633) @t2659))))) % 18.94/19.18 (assume @p1820 (forall @t1830 (=> @t2383 (=> @t2382 (= (tptp.hAPP (tptp.hAPP @t1752 @t2663) @t2662) (tptp.hAPP tptp.c_Int_Onat @t2388)))))) % 18.94/19.18 (assume @p1821 (forall @t2375 (= (tptp.hAPP (tptp.hAPP @t1651 @t23) @t22) (tptp.hAPP @t2625 (tptp.hAPP (tptp.hAPP @t2665 @t2364) @t2371))))) % 18.94/19.18 (assume @p1822 (forall (@list @t70 @t2311) (=> @t2660 (=> @t2313 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2297 @t2311)) (tptp.hAPP (tptp.hAPP @t1548 @t2633) @t2659)))))) % 18.94/19.18 (assume @p1823 (forall @t1101 (= @t1547 (tptp.hAPP tptp.c_Int_Onat @t2209)))) % 18.94/19.18 (assume @p1824 (forall @t1593 (= (tptp.hAPP @t2470 @t2328) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t2201 @t2254) @t2205))))) % 18.94/19.18 (assume @p1825 (forall @t1989 (= @t1795 (tptp.hAPP @t2625 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2188 @t2185))))) % 18.94/19.18 (assume @p1826 (forall @t1830 (=> @t2383 (=> @t2382 (= (tptp.hAPP (tptp.hAPP @t1548 @t2663) @t2662) (tptp.hAPP tptp.c_Int_Onat @t2438)))))) % 18.94/19.18 (assume @p1827 (forall @t346 (=> @t2666 @t1340))) % 18.94/19.18 (assume @p1828 (forall @t346 (=> @t2666 @t1292))) % 18.94/19.18 (assume @p1829 (forall @t1339 (=> @t1292 (=> @t1340 @t2666)))) % 18.94/19.18 (assume @p1830 (forall @t346 (= @t2666 @t2604))) % 18.94/19.18 (assume @p1831 (forall @t1593 (= (tptp.hAPP @t2470 @t2325) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2253 @t2326))))) % 18.94/19.18 (assume @p1832 (forall @t2264 (= (tptp.hBOOL (tptp.hAPP @t2556 @t2617)) (tptp.hBOOL (tptp.hAPP @t2667 @t513))))) % 18.94/19.18 (assume @p1833 (forall @t2656 (=> @t2652 (= (tptp.hBOOL (tptp.hAPP @t2637 @t561)) (tptp.hBOOL (tptp.hAPP @t2273 @t2183)))))) % 18.94/19.18 (assume @p1834 (forall @t2243 (=> @t2265 (= (tptp.hAPP tptp.c_Nat_OSuc @t2633) (tptp.hAPP tptp.c_Int_Onat @t2261))))) % 18.94/19.18 (assume @p1835 (forall @t2661 (=> @t2635 (= @t2664 (tptp.hAPP (tptp.hAPP @t1752 (tptp.hAPP tptp.c_Int_Onat @t2249)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2184 @t2311))))))) % 18.94/19.18 (assume @p1836 (forall @t1339 (=> @t1292 (=> @t1340 @t2605)))) % 18.94/19.18 (assume @p1837 (forall @t1327 (= (tptp.c_Sum__Type_OPlus @t10 @t38 @t600 @t612) @t1330))) % 18.94/19.18 (assume @p1838 (forall @t1908 (= (tptp.c_Int_Onat__aux @t1767 @t1536) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP tptp.c_Int_Onat @t1767)) @t1536)))) % 18.94/19.18 (assume @p1839 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t2233)) % 18.94/19.18 (assume @p1840 (forall @t346 (= (= @t2602 (tptp.c_Orderings_Obot__class_Obot @t1329)) (and @t754 @t2668)))) % 18.94/19.18 (assume @p1841 (forall @t1827 (=> (tptp.c_Nat__Transfer_Ois__nat @t561) (=> (tptp.c_Nat__Transfer_Ois__nat @t831) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t561 @t831) (tptp.hAPP @t2363 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t561) (tptp.hAPP tptp.c_Int_Onat @t831)))))))) % 18.94/19.18 (assume @p1842 (tptp.c_Nat__Transfer_Ois__nat @t2188)) % 18.94/19.18 (assume @p1843 (forall @t1830 (=> @t2670 (=> @t2669 (tptp.c_Nat__Transfer_Ois__nat @t2381))))) % 18.94/19.18 (assume @p1844 (forall @t2243 (tptp.c_Nat__Transfer_Ois__nat @t2384))) % 18.94/19.18 (assume @p1845 (tptp.c_Nat__Transfer_Ois__nat @t2205)) % 18.94/19.18 (assume @p1846 (forall @t1830 (=> @t2670 (=> @t2669 (tptp.c_Nat__Transfer_Ois__nat @t2388))))) % 18.94/19.18 (assume @p1847 (forall @t1830 (=> @t2670 (=> @t2669 (tptp.c_Nat__Transfer_Ois__nat @t2438))))) % 18.94/19.18 (assume @p1848 (forall @t2672 (= @t2671 @t2622))) % 18.94/19.18 (assume @p1849 (forall @t2375 (=> @t2677 (=> @t2676 (= @t2675 (tptp.hAPP @t2363 (tptp.hAPP (tptp.hAPP @t2627 @t2674) @t2673))))))) % 18.94/19.18 (assume @p1850 (forall @t2375 (=> @t2677 (=> @t2676 (= @t2678 (tptp.hAPP @t2363 (tptp.hAPP (tptp.hAPP @t1651 @t2674) @t2673))))))) % 18.94/19.18 (assume @p1851 (forall @t1061 (=> @t2680 (= (tptp.hAPP (tptp.hAPP @t2208 @t2) @t23) (tptp.hAPP @t2182 (tptp.hAPP (tptp.hAPP @t1544 @t2679) @t23)))))) % 18.94/19.18 (assume @p1852 (forall @t1061 (=> @t2651 (=> @t2677 (= @t2683 (tptp.hAPP (tptp.hAPP @t1505 @t2681) @t2674)))))) % 18.94/19.18 (assume @p1853 (forall @t2375 (=> @t2677 (=> @t2676 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2376 @t23) @t22)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2377 @t2674) @t2673))))))) % 18.94/19.18 (assume @p1854 (tptp.c_Nat__Transfer_Onat__set @t2272)) % 18.94/19.18 (assume @p1855 (forall @t2375 (=> @t2677 (=> @t2676 (tptp.c_Nat__Transfer_Onat__set @t2675))))) % 18.94/19.18 (assume @p1856 (forall @t2375 (=> @t2677 (=> @t2676 (tptp.c_Nat__Transfer_Onat__set @t2678))))) % 18.94/19.18 (assume @p1857 (forall (@list @t348) (= (tptp.c_Nat__Transfer_Onat__set @t348) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2417 @t348)) @t2386))))) % 18.94/19.18 (assume @p1858 (forall (@list @t60) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t2363 @t60)))) % 18.94/19.18 (assume @p1859 (forall @t2375 (=> @t2677 (=> @t2676 (= @t24 (= @t2674 @t2673)))))) % 18.94/19.18 (assume @p1860 (forall @t2370 (=> @t2671 @t2684))) % 18.94/19.18 (assume @p1861 (forall @t2686 (=> @t2677 (=> @t2685 @t2671)))) % 18.94/19.18 (assume @p1862 (forall @t2370 (=> @t2622 @t2684))) % 18.94/19.18 (assume @p1863 (forall @t2686 (=> @t2677 (=> @t2685 @t2622)))) % 18.94/19.18 (assume @p1864 (forall @t2365 (=> @t2677 (= (tptp.hAPP @t2363 @t2674) @t23)))) % 18.94/19.18 (assume @p1865 (forall @t2365 (=> @t2677 (= (tptp.hBOOL (tptp.hAPP @t2258 @t23)) (tptp.hBOOL (tptp.hAPP @t1592 @t2674)))))) % 18.94/19.18 (assume @p1866 (forall @t2365 (=> @t2677 (= (tptp.hAPP @t2470 @t23) (tptp.hAPP @t2466 @t2674))))) % 18.94/19.18 (assume @p1867 (forall @t2380 (=> @t2671 (=> @t2677 (= @t2685 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1615 @t2620) @t2674))))))) % 18.94/19.18 (assume @p1868 (forall @t2375 (=> @t2677 (=> @t2676 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t23) @t22)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2373 @t2674) @t2673))))))) % 18.94/19.18 (assume @p1869 (forall @t2691 (=> @t2122 (and (=> @t2689 (= @t2688 (tptp.hAPP @t404 (tptp.hAPP @t1956 (tptp.hAPP tptp.c_Int_Onat @t2690))))) (=> (not @t2689) (= @t2688 (tptp.hAPP @t1956 (tptp.hAPP tptp.c_Int_Onat @t1791)))))))) % 18.94/19.18 (assume @p1870 (forall (@list @t207 @t22 @t2 @t2608 @t10 @t38) (=> @t2613 (=> @t2612 (=> @t2611 (=> (= @t2610 @t22) (=> @t2609 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 @t2607) @t22))))))))) % 18.94/19.18 (assume @p1871 (forall (@list @t831 @t56 @t53) (=> (forall @t7 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2694) @t313))) (= (tptp.hAPP (tptp.hAPP @t1548 (tptp.hAPP (tptp.hAPP @t2450 @t56) @t1934)) (tptp.hAPP (tptp.hAPP @t2450 @t53) @t1934)) (tptp.hAPP (tptp.hAPP @t2450 (tptp.hAPP (tptp.hAPP @t2693 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2692 tptp.tc_Nat_Onat) @t1548) @t56)) @t53)) @t1934))))) % 18.94/19.18 (assume @p1872 (forall @t2699 (=> @t2420 (=> (forall @t7 (=> @t314 (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t2402 @t215))))) (=> @t2698 (forall @t7 (=> @t314 (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t2402 @t2696)))))))))) % 18.94/19.18 (assume @p1873 (forall @t2700 (=> (tptp.hBOOL (tptp.hAPP @t2316 @t2188)) (exists @t2229 (= @t32 (tptp.hAPP @t2184 @t2563)))))) % 18.94/19.18 (assume @p1874 (forall @t2704 (=> @t2586 (= (= @t2703 @t2702) @t2276)))) % 18.94/19.18 (assume @p1875 (forall @t1821 (= (tptp.hAPP @t2705 @t2199) @t2199))) % 18.94/19.18 (assume @p1876 (forall @t819 (=> @t2122 (= (tptp.hAPP @t2687 @t2188) @t1955)))) % 18.94/19.18 (assume @p1877 (forall @t2707 (=> @t2586 (= (= @t1939 @t2702) @t2706)))) % 18.94/19.18 (assume @p1878 (forall @t2707 (=> @t2586 (= (= @t2702 @t1939) @t2706)))) % 18.94/19.18 (assume @p1879 (forall @t2704 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2703) @t2702)) @t2247)))) % 18.94/19.18 (assume @p1880 (forall @t2704 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t2703) @t2702)) @t2274)))) % 18.94/19.18 (assume @p1881 (forall @t2710 (=> @t2122 (= (tptp.hAPP @t2687 @t2304) (tptp.hAPP (tptp.hAPP @t1627 @t2709) @t2708))))) % 18.94/19.18 (assume @p1882 (forall @t2710 (=> @t2122 (= (tptp.hAPP @t2687 @t2319) (tptp.hAPP (tptp.hAPP @t1239 @t2709) @t2708))))) % 18.94/19.18 (assume @p1883 (forall @t819 (=> @t2122 (= (tptp.hAPP @t2687 @t2205) @t1518)))) % 18.94/19.18 (assume @p1884 (forall @t2710 (=> @t2122 (= (tptp.hAPP @t2687 (tptp.hAPP (tptp.hAPP @t2211 @t2278) @t70)) (tptp.hAPP (tptp.hAPP @t877 @t2709) @t2708))))) % 18.94/19.18 (assume @p1885 (forall @t1964 (=> @t2122 (= (tptp.hAPP @t2687 @t2199) @t1962)))) % 18.94/19.18 (assume @p1886 (forall @t2711 (=> @t2122 (= (tptp.hAPP @t2687 @t2249) (tptp.hAPP @t404 @t2708))))) % 18.94/19.18 (assume @p1887 (forall @t2707 (=> @t2548 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t2702) @t2446))))) % 18.94/19.18 (assume @p1888 (forall @t760 (=> @t2548 (= (tptp.hAPP @t2701 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t38 tptp.tc_Int_Oint) @t2) @t23)) (tptp.hAPP (tptp.hAPP @t1496 @t2712) @t23))))) % 18.94/19.18 (assume @p1889 (forall @t2707 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP @t2013 @t2702)) @t2618)))) % 18.94/19.18 (assume @p1890 (forall @t2707 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2702) @t1939)) (tptp.hBOOL (tptp.hAPP @t2309 @t2188)))))) % 18.94/19.18 (assume @p1891 (forall @t2707 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP @t1953 @t2702)) @t2262)))) % 18.94/19.18 (assume @p1892 (forall @t2707 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t2702) @t1939)) @t2267)))) % 18.94/19.18 (assume @p1893 (forall @t2711 (=> @t2122 (=> @t2265 (= (tptp.hAPP @t1956 @t2633) @t2708))))) % 18.94/19.18 (assume @p1894 (forall @t2699 (=> @t2420 (=> (forall @t7 (=> @t314 (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t2389 @t215))))) (=> @t2698 (forall @t7 (=> @t314 (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t2389 @t2696)))))))))) % 18.94/19.18 (assume @p1895 (forall @t2510 (=> @t2132 (=> @t2509 (exists @t1885 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t1883) @t831)) (forall @t456 (=> (tptp.hBOOL (tptp.hAPP @t2715 @t1883)) (not @t2714))) (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP (tptp.hAPP @t1596 @t1883) @t1599))))))))) % 18.94/19.18 (assume @p1896 (forall @t2238 (=> @t2237 (exists @t2229 (and @t2716 (= @t1791 @t2244)))))) % 18.94/19.18 (assume @p1897 (forall @t2721 (=> @t1568 (=> @t1579 (=> @t2720 (=> @t2718 (= @t2430 @t2429))))))) % 18.94/19.18 (assume @p1898 (forall @t2721 (=> @t1568 (=> @t1579 (=> @t2720 (=> @t2718 (= @t2429 @t2430))))))) % 18.94/19.18 (assume @p1899 (forall @t37 (=> @t2725 (and (=> @t2724 (= @t2722 @t1955)) (=> (not @t2724) (and (=> @t2723 (= @t2722 @t1518)) (=> (not @t2723) (= @t2722 @t1570)))))))) % 18.94/19.18 (assume @p1900 (forall @t424 (=> @t1345 (=> @t2062 (= @t2726 @t1570))))) % 18.94/19.18 (assume @p1901 (forall @t751 (=> @t2085 (= (= @t2727 @t1541) @t2054)))) % 18.94/19.18 (assume @p1902 (forall (@list @t70 @t32 @t504) (=> @t2730 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP @t2441 @t2729)) @t70))))) % 18.94/19.18 (assume @p1903 (forall (@list @t32 @t70 @t504) (=> @t2730 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t70) (tptp.hAPP @t2305 @t2729)))))) % 18.94/19.18 (assume @p1904 (forall @t760 (=> @t2734 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t2731 @t1526)) @t2733))))) % 18.94/19.18 (assume @p1905 (forall @t760 (=> @t2734 (tptp.hBOOL (tptp.hAPP @t2013 @t2733))))) % 18.94/19.18 (assume @p1906 (forall @t411 (=> @t2739 (= (tptp.hAPP @t2735 @t2738) @t2738)))) % 18.94/19.18 (assume @p1907 (forall @t424 (=> @t1345 (= (tptp.hAPP @t2740 @t2737) @t1241)))) % 18.94/19.18 (assume @p1908 (forall @t411 (=> @t1345 @t2742))) % 18.94/19.18 (assume @p1909 (forall @t411 (=> @t2739 (= @t2744 @t2743)))) % 18.94/19.18 (assume @p1910 (forall @t819 (=> @t1345 (= (tptp.hAPP @t2735 @t1518) @t1518)))) % 18.94/19.18 (assume @p1911 (forall @t424 (=> @t2739 (= (tptp.hAPP @t2735 @t408) @t2737)))) % 18.94/19.18 (assume @p1912 (forall @t1964 (=> @t1345 (= (tptp.hAPP @t2735 @t1962) @t1962)))) % 18.94/19.18 (assume @p1913 (forall @t411 (=> @t2739 (=> @t2745 @t92)))) % 18.94/19.18 (assume @p1914 (forall @t424 (=> @t2739 (tptp.hBOOL (tptp.hAPP @t90 @t2737))))) % 18.94/19.18 (assume @p1915 (forall @t424 (=> @t1345 (= (tptp.c_Groups_Osgn__class_Osgn @t33 @t2726) @t2726)))) % 18.94/19.18 (assume @p1916 (forall @t424 (=> @t2739 (= (tptp.hAPP @t2735 @t2737) @t2737)))) % 18.94/19.18 (assume @p1917 (forall @t37 (=> @t1345 (= (tptp.hAPP (tptp.hAPP @t1239 @t2722) @t2746) @t32)))) % 18.94/19.18 (assume @p1918 (forall @t2691 (=> @t1345 (= (tptp.hAPP @t2735 @t1791) (tptp.hAPP (tptp.hAPP @t1239 @t1791) (tptp.c_Groups_Osgn__class_Osgn @t33 @t1791)))))) % 18.94/19.18 (assume @p1919 (forall @t751 (=> @t2734 (= (= @t2747 @t1939) @t1966)))) % 18.94/19.18 (assume @p1920 (forall @t819 (=> @t2739 (= (tptp.hAPP @t2735 @t1955) @t1955)))) % 18.94/19.18 (assume @p1921 (forall @t1921 (= (tptp.hAPP @t2728 @t2200) @t2200))) % 18.94/19.18 (assume @p1922 (forall @t760 (=> @t2734 (= (tptp.hAPP @t2731 @t2733) @t2733)))) % 18.94/19.18 (assume @p1923 (forall @t751 (=> @t2085 (= (= @t2727 @t1939) @t1966)))) % 18.94/19.18 (assume @p1924 (forall @t819 (=> @t2725 (= (tptp.c_Groups_Osgn__class_Osgn @t33 @t1955) @t1955)))) % 18.94/19.18 (assume @p1925 (forall @t411 (=> @t1345 (= (tptp.c_Groups_Osgn__class_Osgn @t33 @t1245) (tptp.hAPP (tptp.hAPP @t1239 @t2726) (tptp.c_Groups_Osgn__class_Osgn @t33 @t85)))))) % 18.94/19.18 (assume @p1926 (forall @t424 (=> @t2739 (=> @t2017 @t2748)))) % 18.94/19.18 (assume @p1927 (forall @t751 (=> @t2734 (= (tptp.hBOOL (tptp.hAPP @t2749 @t1939)) @t1966)))) % 18.94/19.18 (assume @p1928 (forall @t424 (=> @t2739 (tptp.hBOOL (tptp.hAPP @t1963 @t2737))))) % 18.94/19.18 (assume @p1929 (forall @t424 (=> @t2739 (=> @t2052 @t2748)))) % 18.94/19.18 (assume @p1930 (forall @t751 (=> @t2734 (= (tptp.hBOOL (tptp.hAPP @t1953 @t2747)) @t2750)))) % 18.94/19.18 (assume @p1931 (forall @t424 (=> @t2739 (not (tptp.hBOOL (tptp.hAPP @t2751 @t1955)))))) % 18.94/19.18 (assume @p1932 (forall @t411 (=> @t2739 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP @t2735 @t1629)) @t2738))))) % 18.94/19.18 (assume @p1933 (forall @t506 (=> @t1345 (=> (tptp.hBOOL (tptp.hAPP @t2751 @t82)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t2736) @t504)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t2741) (tptp.hAPP @t2036 @t504)))))))) % 18.94/19.18 (assume @p1934 (forall @t411 (=> @t2739 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP @t2735 @t2752)) @t2744))))) % 18.94/19.18 (assume @p1935 (forall @t411 (=> @t2739 (tptp.hBOOL (tptp.hAPP @t2753 @t2744))))) % 18.94/19.18 (assume @p1936 (forall @t411 (=> @t2739 (tptp.hBOOL (tptp.hAPP @t2753 @t2743))))) % 18.94/19.18 (assume @p1937 (forall @t411 (=> @t2739 (=> @t2745 @t2755)))) % 18.94/19.18 (assume @p1938 (forall @t411 (=> @t2739 (=> @t92 (=> @t2755 @t2745))))) % 18.94/19.18 (assume @p1939 (forall @t421 (=> @t2734 (= (tptp.hBOOL (tptp.hAPP @t2749 @t216)) (and @t233 @t428))))) % 18.94/19.18 (assume @p1940 (forall @t424 (=> @t2739 (tptp.hBOOL (tptp.hAPP @t2754 @t2737))))) % 18.94/19.18 (assume @p1941 (forall @t421 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t2747) @t216)) (and @t1036 @t1045))))) % 18.94/19.18 (assume @p1942 (forall @t1852 (=> (= (tptp.hAPP @t2728 @t2756) @t2205) (= (tptp.hAPP @t2728 @t1537) @t2205)))) % 18.94/19.18 (assume @p1943 (forall @t69 (=> @t1345 (=> @t2119 (= (tptp.hAPP (tptp.hAPP @t1239 (tptp.hAPP @t2735 @t64)) @t32) (tptp.hAPP @t2735 @t2121)))))) % 18.94/19.18 (assume @p1944 (forall @t411 (=> (tptp.class_Rings_Oordered__ring__abs @t33) (=> (and (or @t2017 @t2027) (or @t2016 @t2026)) @t2742)))) % 18.94/19.18 (assume @p1945 (forall @t411 (=> @t2739 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t2744) @t2738))))) % 18.94/19.18 (assume @p1946 (forall @t1679 (=> @t2739 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP @t2735 (tptp.hAPP @t1702 @t1674))) (tptp.hAPP (tptp.hAPP @t1627 (tptp.hAPP @t2735 (tptp.hAPP @t880 @t82))) (tptp.hAPP @t2735 (tptp.hAPP @t878 @t504)))))))) % 18.94/19.18 (assume @p1947 (forall @t424 (=> @t2739 (=> @t2027 @t2757)))) % 18.94/19.18 (assume @p1948 (forall @t424 (=> @t2739 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP @t404 @t2737)) @t1955))))) % 18.94/19.18 (assume @p1949 (forall @t424 (=> @t2739 @t2758))) % 18.94/19.18 (assume @p1950 (forall @t424 (=> (tptp.class_Groups_Oabs__if @t33) (and @t2758 (=> (not @t2062) @t2748))))) % 18.94/19.18 (assume @p1951 (forall @t2264 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP @t2728 @t513)) @t2205)) @t2706))) % 18.94/19.18 (assume @p1952 (forall @t2761 (and (=> @t2760 (= @t2759 (tptp.hAPP @t2184 @t1767))) (=> (not @t2760) (= @t2759 @t1767))))) % 18.94/19.18 (assume @p1953 (forall @t2280 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2728 @t2319)) (tptp.hAPP (tptp.hAPP @t1752 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2728 @t2278))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2728 @t70)))))) % 18.94/19.18 (assume @p1954 (forall @t751 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t2727) @t1939)) @t2054)))) % 18.94/19.18 (assume @p1955 (forall @t751 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP @t1953 @t2727)) @t2053)))) % 18.94/19.18 (assume @p1956 (forall @t751 (=> @t2085 (= (= @t2727 @t1494) @t2053)))) % 18.94/19.18 (assume @p1957 (forall @t424 (=> @t1345 (=> @t2052 (= @t2726 @t1518))))) % 18.94/19.18 (assume @p1958 (forall @t2761 (and (=> @t2765 (= @t2763 @t2188)) (=> (not @t2765) (and (=> @t2764 (= @t2763 @t2205)) (=> (not @t2764) (= @t2763 @t2762))))))) % 18.94/19.18 (assume @p1959 (forall @t1830 (= (tptp.c_Nitpick_Oint__lcm @t32 @t64) (tptp.hAPP @t2182 (tptp.c_Nitpick_Onat__lcm @t2768 @t2766))))) % 18.94/19.18 (assume @p1960 (forall @t2770 (=> @t2651 (=> @t24 (=> @t2676 (=> @t2769 (= @t2683 (tptp.hAPP (tptp.hAPP @t2649 @t1) @t22)))))))) % 18.94/19.18 (assume @p1961 (forall @t1827 (= (tptp.hAPP @t1911 @t2478) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1949 @t2771 @t2102)))) % 18.94/19.18 (assume @p1962 (forall (@list @t118 @t2 @t831) (=> (forall @t456 (=> @t2779 @t2777)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t2532) @t118)) (=> @t2775 (exists @t456 (and @t2773 @t2772))))))) % 18.94/19.18 (assume @p1963 (forall @t2782 (= (tptp.c_Nat_Onat_Onat__case @t10 @t2780 @t2781 @t1949) @t2780))) % 18.94/19.18 (assume @p1964 (forall @t2784 (= (tptp.c_Nat_Onat_Onat__case @t10 @t2780 @t2781 @t2469) @t2783))) % 18.94/19.18 (assume @p1965 (forall @t2800 (=> @t2799 (= (tptp.hAPP tptp.c_Nat_OSuc @t2797) @t2792)))) % 18.94/19.18 (assume @p1966 (forall @t2800 (=> @t2799 (not (= @t2792 @t1949))))) % 18.94/19.18 (assume @p1967 (forall @t2800 (=> (not @t2799) (= @t2797 @t2792)))) % 18.94/19.18 (assume @p1968 (forall @t1314 (=> @t2804 (exists @t2803 (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat @t10 @t2802 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1599 @t2801) @t190))))) % 18.94/19.18 (assume @p1969 (forall (@list @t118 @t1428) (=> (forall @t7 (=> @t1617 (tptp.hBOOL (tptp.hAPP @t1815 @t3)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t2164 @t118) @t1428)))) % 18.94/19.18 (assume @p1970 (forall @t2810 (=> @t2809 @t2807))) % 18.94/19.18 (assume @p1971 (forall @t2817 (=> (or @t2816 @t2815) (tptp.hBOOL (tptp.hAPP @t1291 @t2813))))) % 18.94/19.18 (assume @p1972 (forall @t1786 (tptp.hBOOL (tptp.hAPP @t1592 (tptp.hAPP @t2791 (tptp.hAPP @t2786 @t118)))))) % 18.94/19.18 (assume @p1973 (forall @t1786 (tptp.hBOOL (tptp.hAPP @t1592 (tptp.hAPP @t2791 (tptp.hAPP (tptp.hAPP @t2785 @t1512) @t118)))))) % 18.94/19.18 (assume @p1974 (forall @t172 (= @t2806 @t56))) % 18.94/19.18 (assume @p1975 (forall @t172 (= (= @t749 @t2806) @t2819))) % 18.94/19.18 (assume @p1976 (forall @t172 (= (= @t2806 @t749) @t2819))) % 18.94/19.18 (assume @p1977 (forall @t51 (= (tptp.hAPP @t2805 @t375) @t23))) % 18.94/19.18 (assume @p1978 (forall @t2820 (= @t2807 @t2809))) % 18.94/19.18 (assume @p1979 (forall @t2820 (=> @t2807 @t2809))) % 18.94/19.18 (assume @p1980 (forall @t658 (= @t749 (tptp.hAPP @t2805 @t2822)))) % 18.94/19.18 (assume @p1981 (forall @t2817 (= (tptp.hBOOL (tptp.hAPP @t1291 @t2824)) (and @t2816 @t2815)))) % 18.94/19.18 (assume @p1982 (forall @t2820 (= (tptp.hAPP @t847 @t2806) (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t2825 (tptp.hAPP @t1188 @t1193))) @t56))))) % 18.94/19.18 (assume @p1983 (forall @t658 (= @t600 (tptp.hAPP @t2805 (tptp.hAPP @t2821 tptp.c_fTrue))))) % 18.94/19.18 (assume @p1984 (forall @t2817 (= @t2824 (tptp.hAPP (tptp.hAPP @t440 @t2806) @t2814)))) % 18.94/19.18 (assume @p1985 (forall @t2817 (= @t2813 (tptp.hAPP (tptp.hAPP @t601 @t2806) @t2814)))) % 18.94/19.18 (assume @p1986 (forall @t172 (= @t2828 @t2826))) % 18.94/19.18 (assume @p1987 (forall @t2832 (= (tptp.hAPP @t1143 @t2831) (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t2829 @t56) @t2))))) % 18.94/19.18 (assume @p1988 (forall @t885 (= @t850 (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t2823 @t1193)) @t2161))))) % 18.94/19.18 (assume @p1989 (forall @t31 (= @t458 (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t2823 @t375)) @t2161))))) % 18.94/19.18 (assume @p1990 (forall @t31 (= @t603 @t2833))) % 18.94/19.18 (assume @p1991 (forall (@list @t56 @t23 @t47 @t10) (= (tptp.hBOOL (tptp.hAPP @t334 @t2834)) (and @t335 @t59)))) % 18.94/19.18 (assume @p1992 (forall @t751 (= (tptp.hAPP @t2805 @t2139) @t848))) % 18.94/19.18 (assume @p1993 (forall @t751 (= @t2835 @t848))) % 18.94/19.18 (assume @p1994 (forall @t2810 (and (=> @t2809 (= @t2836 @t848)) (=> @t2837 (= @t2836 @t749))))) % 18.94/19.18 (assume @p1995 (forall @t2810 (and (=> @t2809 (= @t2838 @t848)) (=> @t2837 (= @t2838 @t749))))) % 18.94/19.18 (assume @p1996 (forall @t31 (= @t845 (tptp.hAPP @t2805 (tptp.hAPP @t1175 (tptp.hAPP @t1188 @t2161)))))) % 18.94/19.18 (assume @p1997 (forall @t172 (=> @t2816 (= (tptp.hBOOL (tptp.hAPP @t1291 @t2828)) @t1326)))) % 18.94/19.18 (assume @p1998 (forall @t885 (= @t850 (tptp.hAPP (tptp.hAPP @t440 @t2835) @t22)))) % 18.94/19.18 (assume @p1999 (forall @t51 (= @t265 (tptp.hAPP @t2805 (tptp.hAPP @t1188 @t375))))) % 18.94/19.18 (assume @p2000 (forall @t1165 (= @t1153 (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t111 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t38 (tptp.tc_fun @t111 tptp.tc_HOL_Obool) @t10) @t179) @t2)) @t22))))) % 18.94/19.18 (assume @p2001 (forall @t2817 (= (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t2825 @t56)) @t53)) (tptp.hAPP (tptp.hAPP @t440 @t2826) @t2814)))) % 18.94/19.18 (assume @p2002 (forall @t2658 (tptp.hBOOL (tptp.hAPP @t1592 (tptp.hAPP @t2791 (tptp.hAPP (tptp.hAPP @t2790 (tptp.hAPP @t2789 @t56)) @t2793)))))) % 18.94/19.18 (assume @p2003 (forall (@list @t361 @t2 @t1572 @t38 @t348 @t10 @t150) (=> @t1555 (=> @t1580 (=> @t2852 (= (tptp.hAPP (tptp.hAPP @t1551 (tptp.hAPP @t2851 @t2846)) @t348) (tptp.hAPP (tptp.hAPP @t1553 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t38 @t25 @t150) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t10 @t150) (tptp.tc_fun @t25 @t150) @t38) @t1551) (tptp.hAPP (tptp.c_COMBC @t10 @t38 @t150) @t2))) (tptp.hAPP @t2841 (tptp.hAPP (tptp.hAPP @t344 @t2840) @t2839)))) @t1572))))))) % 18.94/19.18 (assume @p2004 (forall (@list @t348 @t1 @t2 @t56 @t10 @t38) (= (tptp.hAPP (tptp.c_Set_Oimage @t38 @t10 (tptp.hAPP (tptp.hAPP @t1396 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t38 @t10 @t1180) (tptp.hAPP @t1182 @t56)) @t2)) @t1)) @t348) (tptp.hAPP (tptp.hAPP @t440 (tptp.hAPP @t605 (tptp.hAPP @t2854 @t2831))) (tptp.hAPP @t1344 (tptp.hAPP @t2854 (tptp.hAPP @t2830 (tptp.hAPP (tptp.hAPP @t2853 tptp.c_fNot) @t56)))))))) % 18.94/19.18 (assume @p2005 (forall (@list @t831 @t2 @t10 @t23) (=> (= @t23 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t10 @t2) (tptp.hAPP @t2791 (tptp.hAPP @t2786 @t831)))) @t1292))) % 18.94/19.18 (assume @p2006 (forall @t2163 (=> @t1568 (=> @t1292 (= (tptp.hAPP @t1486 @t2833) @t2162))))) % 18.94/19.18 (assume @p2007 (forall (@list @t2 @t150 @t1 @t348 @t10 @t38) (=> @t1568 (=> @t1580 (= (tptp.hAPP @t1566 @t348) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t150 @t38) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 @t38 @t150) @t1566) (tptp.hAPP (tptp.hAPP @t552 @t2805) (tptp.hAPP (tptp.hAPP @t552 @t2840) (tptp.hAPP (tptp.c_COMBC @t10 @t150 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t150 @t256 @t10) tptp.c_fequal) @t2)))))) (tptp.hAPP @t1271 @t348))))))) % 18.94/19.18 (assume @p2008 (forall (@list @t1 @t2 @t56 @t23 @t10 @t38) (=> @t1568 (=> @t1292 (= (tptp.hAPP (tptp.hAPP @t1485 (tptp.hAPP (tptp.hAPP @t1559 (tptp.hAPP (tptp.hAPP @t2141 (tptp.hAPP @t2140 @t56)) @t2)) @t1)) @t23) (tptp.hAPP (tptp.hAPP @t1585 (tptp.hAPP @t1486 @t2834)) (tptp.hAPP @t1566 (tptp.hAPP @t602 @t2826)))))))) % 18.94/19.18 (assume @p2009 (forall @t1827 (= @t2526 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t1515 @t831))))) % 18.94/19.18 (assume @p2010 (forall (@list @t118 @t361 @t1572 @t38 @t348 @t10) (=> @t1580 (=> @t2852 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t180 @t1572)) (= (tptp.hAPP @t2454 (tptp.hAPP @t2805 (tptp.hAPP @t2840 @t2856))) @t118))) (= (tptp.hAPP (tptp.hAPP @t1544 (tptp.hAPP @t2855 @t2846)) @t348) (tptp.hAPP @t1998 (tptp.hAPP @t2495 @t1572)))))))) % 18.94/19.18 (assume @p2011 (forall @t1314 (=> @t2804 (exists @t2803 (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat @t10 @t2802 @t2857 @t190))))) % 18.94/19.18 (assume @p2012 (forall (@list @t56 @t2 @t219 @t10) (=> (tptp.hBOOL (tptp.hAPP @t250 @t2858)) (=> @t980 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t317 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t601 @t2858) @t2806)))) @t314)) @t2809))))) % 18.94/19.18 (assume @p2013 (forall (@list @t56 @t219 @t2 @t10 @t23) (=> (= @t23 @t2858) (=> @t980 (=> @t251 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t317 (tptp.hAPP @t2 @t2834))) @t314)) @t2809)))))) % 18.94/19.18 (assume @p2014 (forall (@list @t271 @t219 @t56 @t10 @t23) (=> (= @t23 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t25 @t2863)) (=> (tptp.c_Orderings_Oorder__class_Omono @t25 @t25 @t2863) (=> @t979 (=> (forall @t2861 (=> (tptp.hBOOL (tptp.hAPP @t2860 @t271)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t56 @t982) @t2859)))) @t251)))))) % 18.94/19.18 (assume @p2015 (forall @t51 (=> @t1292 (tptp.hBOOL (tptp.hAPP @t1317 @t2865))))) % 18.94/19.18 (assume @p2016 (forall @t51 (= @t202 @t2865))) % 18.94/19.18 (assume @p2017 (forall @t2387 (tptp.c_Nat__Transfer_Onat__set @t2871))) % 18.94/19.18 (assume @p2018 (forall @t2387 (= @t2871 (tptp.hAPP @t2363 (tptp.hAPP @t2791 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t56) @t2182)))))) % 18.94/19.18 (assume @p2019 (forall @t2387 (= (tptp.hAPP @t2791 @t56) (tptp.hAPP @t2625 (tptp.hAPP @t2870 (tptp.hAPP @t2869 (tptp.hAPP (tptp.hAPP @t2872 @t56) tptp.c_Int_Onat))))))) % 18.94/19.18 (assume @p2020 (forall (@list @t118 @t361 @t909 @t38 @t2608 @t10) (=> @t2612 (=> (tptp.hBOOL (tptp.hAPP @t1307 @t909)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t180 @t909)) (= (tptp.hAPP @t2454 (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t1172 (tptp.hAPP @t363 @t2608))) @t2856))) (tptp.hAPP @t118 @t3)))) (= (tptp.hAPP (tptp.hAPP @t1544 (tptp.hAPP @t2855 (tptp.hAPP @t2845 (tptp.hAPP (tptp.hAPP @t724 (tptp.hAPP @t2844 (tptp.hAPP @t2843 (tptp.hAPP @t723 @t909)))) @t361)))) @t2608) (tptp.hAPP (tptp.hAPP @t2177 @t118) @t909))))))) % 18.94/19.18 (assume @p2021 (forall @t31 (=> @t2892 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (= (tptp.hAPP (tptp.hAPP @t616 @t1416) @t1423) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 (tptp.hAPP @t2805 (tptp.hAPP @t2890 (tptp.hAPP @t2891 (tptp.hAPP (tptp.hAPP @t2888 (tptp.hAPP @t2887 (tptp.hAPP @t2886 (tptp.hAPP @t2883 (tptp.hAPP @t2879 @t616))))) @t2875))))))))))))) % 18.94/19.18 (assume @p2022 (forall @t376 (=> @t2892 (=> @t1292 (=> @t756 (= (tptp.hAPP @t630 @t1416) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 (tptp.hAPP @t2805 (tptp.hAPP @t2890 (tptp.hAPP (tptp.hAPP @t951 (tptp.hAPP @t2884 (tptp.hAPP @t2881 (tptp.hAPP @t2893 @t630)))) @t375)))))))))) % 18.94/19.18 (assume @p2023 (forall @t31 (=> @t2892 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (= (tptp.hAPP (tptp.hAPP @t466 @t1383) @t1405) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 (tptp.hAPP @t2805 (tptp.hAPP @t2890 (tptp.hAPP @t2891 (tptp.hAPP (tptp.hAPP @t2888 (tptp.hAPP @t2887 (tptp.hAPP @t2886 (tptp.hAPP @t2883 (tptp.hAPP @t2879 @t466))))) @t2875))))))))))))) % 18.94/19.18 (assume @p2024 (forall @t376 (=> @t2892 (=> @t1292 (=> @t756 (= (tptp.hAPP @t517 @t1383) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 (tptp.hAPP @t2805 (tptp.hAPP @t2890 (tptp.hAPP (tptp.hAPP @t951 (tptp.hAPP @t2884 (tptp.hAPP @t2881 (tptp.hAPP @t2893 @t517)))) @t375)))))))))) % 18.94/19.18 (assume @p2025 (forall @t2897 (=> @t2816 (tptp.hBOOL (tptp.hAPP @t1307 (tptp.hAPP @t2830 (tptp.hAPP @t2896 (tptp.hAPP (tptp.hAPP @t549 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2880 @t532 @t38) @t1174) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 @t2880 @t38) @t1172) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 @t42 @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 @t2894 @t38) @t2829) tptp.c_fequal)) @t2)))) @t56)))))))) % 18.94/19.18 (assume @p2026 (forall (@list @t53 @t38 @t56 @t10) (=> @t2816 (= (tptp.hBOOL (tptp.hAPP @t1307 (tptp.hAPP @t2830 (tptp.hAPP @t2896 (tptp.hAPP (tptp.hAPP @t344 @t2812) @t53))))) (forall @t199 (=> @t198 (tptp.hBOOL (tptp.hAPP @t1307 (tptp.hAPP @t2830 (tptp.hAPP @t2899 @t195)))))))))) % 18.94/19.18 (assume @p2027 (forall @t51 (= (tptp.hAPP @t200 @t265) (tptp.hAPP @t2864 (tptp.hAPP (tptp.hAPP @t2900 @t2910) (tptp.hAPP (tptp.hAPP @t2909 (tptp.hAPP @t2908 (tptp.hAPP @t2905 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t25 @t532 @t109) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t109 (tptp.tc_fun @t532 @t109) @t25) @t2901) tptp.c_fequal)) @t230)))) (tptp.hAPP (tptp.hAPP @t2900 @t277) @t200))))))) % 18.94/19.18 (assume @p2028 (forall @t2915 (=> @t2914 (=> @t1432 (=> @t1431 (= (tptp.hAPP @t2911 @t2913) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t2912))))))) % 18.94/19.18 (assume @p2029 (forall @t2915 (=> @t2914 (=> @t1432 (=> @t1431 (= (tptp.hAPP @t2911 @t2916) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t2912))))))) % 18.94/19.18 (assume @p2030 (forall @t51 (= @t1292 (exists (@list @t2225 @t735) (= @t23 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t10 @t735) (tptp.hAPP @t2791 (tptp.hAPP @t2786 @t2225)))))))) % 18.94/19.18 (assume @p2031 (forall @t1445 (=> @t2089 (=> (tptp.hBOOL (tptp.hAPP @t1307 @t660)) (exists @t7 (and @t326 (not (tptp.hBOOL (tptp.hAPP @t1291 (tptp.hAPP @t2805 (tptp.hAPP @t1175 (tptp.hAPP @t1142 @t5)))))))))))) % 18.94/19.18 (assume @p2032 (forall (@list @t513 @t2615) (and (=> @t2923 (= @t2922 @t2617)) (=> (not @t2923) (= @t2922 (tptp.hAPP (tptp.hAPP @t2921 (tptp.hAPP @t2275 @t2615)) @t2920)))))) % 18.94/19.18 (assume @p2033 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2188)))) % 18.94/19.18 (assume @p2034 (forall @t1821 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2199))))) % 18.94/19.18 (assume @p2035 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2205)))) % 18.94/19.18 (assume @p2036 (forall @t351 (=> @t1973 (=> @t1580 (=> @t2925 (= (tptp.hAPP @t390 (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t348)) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t2924))))))) % 18.94/19.18 (assume @p2037 (forall @t351 (=> @t1973 (=> @t1580 (=> @t2925 (= (tptp.hAPP @t390 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t348)) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t2924))))))) % 18.94/19.18 (assume @p2038 (forall @t597 (=> @t127 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t873) @t47)))) % 18.94/19.18 (assume @p2039 (forall @t597 (=> @t127 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t873) @t47)))) % 18.94/19.18 (assume @p2040 (forall @t2672 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t47))) @t2622))) % 18.94/19.18 (assume @p2041 (forall (@list @t2926) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2926)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2926) @t2188))))) % 18.94/19.18 (assume @p2042 (forall @t2243 (=> @t2927 @t2634))) % 18.94/19.18 (assume @p2043 (forall @t2243 (=> (not @t2927) @t2643))) % 18.94/19.18 (assume @p2044 (forall @t376 (=> @t127 (=> @t1292 (=> @t335 (tptp.hBOOL (tptp.hAPP @t100 @t2928))))))) % 18.94/19.18 (assume @p2045 (forall @t376 (=> @t127 (=> @t1292 (=> @t335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2929) @t47))))))) % 18.94/19.18 (assume @p2046 (forall @t51 (=> @t127 (=> @t1292 (=> @t756 @t2930))))) % 18.94/19.18 (assume @p2047 (forall @t51 (=> @t127 (=> @t1292 (=> @t756 @t2931))))) % 18.94/19.18 (assume @p2048 (forall @t1821 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2463)))) % 18.94/19.18 (assume @p2049 (forall @t2934 (=> @t127 (=> @t2933 (=> @t2932 (=> @t1432 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t190)) @t2916)))))))) % 18.94/19.18 (assume @p2050 (forall @t2934 (=> @t127 (=> @t2933 (=> @t2932 (=> @t1432 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2913) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t190))))))))) % 18.94/19.18 (assume @p2051 (forall @t376 (=> @t127 (=> @t1292 (=> @t335 (and (=> @t1289 @t2938) (=> @t1290 (= @t2929 @t2937)))))))) % 18.94/19.18 (assume @p2052 (forall @t376 (=> @t127 (=> @t1292 (=> @t335 (and (=> @t1289 @t2942) (=> @t1290 (= @t2928 @t2941)))))))) % 18.94/19.18 (assume @p2053 (forall (@list @t831 @t23 @t2 @t10) (=> (= @t1547 @t2478) (exists @t7 (and @t326 @t2943))))) % 18.94/19.18 (assume @p2054 (forall @t2578 (=> @t1088 (=> @t748 (=> @t2577 (=> @t2576 (exists @t2803 (tptp.c_Fun_Obij__betw @t10 @t38 @t2802 @t23 @t22)))))))) % 18.94/19.18 (assume @p2055 (forall @t1588 (=> @t1483 (=> @t1292 (=> @t335 (= @t2948 @t2947)))))) % 18.94/19.18 (assume @p2056 (forall @t2951 (=> @t2950 (=> @t740 (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax @t38) @t1942) @t2568) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2939 @t561) @t831))))))) % 18.94/19.18 (assume @p2057 (forall @t2951 (=> @t2950 (=> @t740 (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin @t38) @t1942) @t2568) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2935 @t561) @t831))))))) % 18.94/19.18 (assume @p2058 (forall @t760 (=> (and @t2650 @t2548) (= (tptp.hAPP @t2701 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t38 tptp.tc_Int_Oint) @t2) @t23)) (tptp.hAPP (tptp.hAPP @t2952 @t2712) @t23))))) % 18.94/19.18 (assume @p2059 (forall @t1101 (= @t2957 (tptp.hAPP tptp.c_Int_Onat @t2954)))) % 18.94/19.18 (assume @p2060 (forall @t2959 (=> @t127 (= (tptp.hBOOL (tptp.hAPP @t586 @t2958)) (or (tptp.hBOOL (tptp.hAPP @t586 @t47)) (tptp.hBOOL (tptp.hAPP @t586 @t97))))))) % 18.94/19.18 (assume @p2061 (forall @t503 (=> @t68 (=> @t2964 @t500)))) % 18.94/19.18 (assume @p2062 (forall @t506 (=> @t68 (=> @t91 (=> @t505 (tptp.hBOOL (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2960 @t82) @t504)))))))) % 18.94/19.18 (assume @p2063 (forall @t75 (=> @t68 (=> @t66 (=> @t72 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t2966) @t32))))))) % 18.94/19.18 (assume @p2064 (forall @t507 (=> @t68 (=> @t499 (=> @t498 @t2964))))) % 18.94/19.18 (assume @p2065 (forall @t77 (=> @t68 (=> @t66 (= @t2968 @t32))))) % 18.94/19.18 (assume @p2066 (forall @t69 (=> @t68 (=> @t67 (= @t2968 @t64))))) % 18.94/19.18 (assume @p2067 (forall @t510 (=> @t68 (=> @t509 @t2969)))) % 18.94/19.18 (assume @p2068 (forall @t512 (=> @t68 (=> @t511 @t2969)))) % 18.94/19.18 (assume @p2069 (forall @t520 (=> @t127 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2958) @t513)) @t516)))) % 18.94/19.18 (assume @p2070 (forall @t107 (=> @t127 (= @t101 (= @t2958 @t97))))) % 18.94/19.18 (assume @p2071 (forall @t77 (=> @t68 (tptp.hBOOL (tptp.hAPP @t65 @t2968))))) % 18.94/19.18 (assume @p2072 (forall @t69 (=> @t68 (tptp.hBOOL (tptp.hAPP @t35 @t2968))))) % 18.94/19.18 (assume @p2073 (forall @t520 (=> @t127 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2970) @t513)) (or @t515 @t514))))) % 18.94/19.18 (assume @p2074 (forall @t512 (=> @t68 (=> @t2974 @t663)))) % 18.94/19.18 (assume @p2075 (forall @t506 (=> @t68 (=> @t91 (=> @t505 (tptp.hBOOL (tptp.hAPP @t2975 (tptp.hAPP (tptp.hAPP @t2971 @t82) @t504)))))))) % 18.94/19.18 (assume @p2076 (forall @t80 (=> @t68 (=> @t67 (=> @t78 (tptp.hBOOL (tptp.hAPP @t35 @t2977))))))) % 18.94/19.18 (assume @p2077 (forall @t512 (=> @t68 (=> @t511 (=> @t509 @t2974))))) % 18.94/19.18 (assume @p2078 (forall @t77 (=> @t68 (=> @t66 (= @t2979 @t64))))) % 18.94/19.18 (assume @p2079 (forall @t69 (=> @t68 (=> @t67 (= @t2979 @t32))))) % 18.94/19.18 (assume @p2080 (forall @t667 (=> @t68 (=> @t498 @t2980)))) % 18.94/19.18 (assume @p2081 (forall @t507 (=> @t68 (=> @t499 @t2980)))) % 18.94/19.18 (assume @p2082 (forall @t520 (=> @t127 (= (tptp.hBOOL (tptp.hAPP @t100 (tptp.hAPP (tptp.hAPP @t2935 @t97) @t513))) @t668)))) % 18.94/19.18 (assume @p2083 (forall @t107 (=> @t127 (= @t101 (= @t2970 @t47))))) % 18.94/19.18 (assume @p2084 (forall @t69 (=> @t68 (tptp.hBOOL (tptp.hAPP @t2981 @t64))))) % 18.94/19.18 (assume @p2085 (forall @t69 (=> @t68 (tptp.hBOOL (tptp.hAPP @t2981 @t32))))) % 18.94/19.18 (assume @p2086 (forall @t510 (=> @t68 (=> @t1039 @t2982)))) % 18.94/19.18 (assume @p2087 (forall @t512 (=> @t68 (=> @t1038 @t2982)))) % 18.94/19.18 (assume @p2088 (forall @t520 (=> @t127 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t2958) @t513)) (and @t2984 @t2983))))) % 18.94/19.18 (assume @p2089 (forall @t2959 (=> @t127 (= (tptp.hBOOL (tptp.hAPP @t2985 @t2958)) (or @t2987 @t2986))))) % 18.94/19.18 (assume @p2090 (forall @t667 (=> @t68 (=> @t1042 @t2988)))) % 18.94/19.18 (assume @p2091 (forall @t507 (=> @t68 (=> @t1041 @t2988)))) % 18.94/19.18 (assume @p2092 (forall @t520 (=> @t127 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t2970) @t513)) (or @t2984 @t2983))))) % 18.94/19.18 (assume @p2093 (forall @t2959 (=> @t127 (= (tptp.hBOOL (tptp.hAPP @t2985 @t2970)) (and @t2987 @t2986))))) % 18.94/19.18 (assume @p2094 (forall @t80 (=> @t1682 (= (tptp.hAPP (tptp.hAPP @t1627 @t2968) @t70) (tptp.hAPP (tptp.hAPP @t2960 @t2989) @t1641))))) % 18.94/19.18 (assume @p2095 (forall @t80 (=> @t1682 (= (tptp.hAPP (tptp.hAPP @t1627 @t2979) @t70) (tptp.hAPP (tptp.hAPP @t2971 @t2989) @t1641))))) % 18.94/19.18 (assume @p2096 (forall @t80 (=> @t410 (= (tptp.hAPP (tptp.hAPP @t877 @t2968) @t70) (tptp.hAPP (tptp.hAPP @t2960 @t2991) @t2990))))) % 18.94/19.18 (assume @p2097 (forall @t80 (=> @t410 (= (tptp.hAPP (tptp.hAPP @t877 @t2979) @t70) (tptp.hAPP (tptp.hAPP @t2971 @t2991) @t2990))))) % 18.94/19.18 (assume @p2098 (forall @t1821 (= (tptp.hAPP (tptp.hAPP @t2992 @t1949) @t1536) @t1536))) % 18.94/19.18 (assume @p2099 (forall @t1821 (= (tptp.hAPP @t2993 @t1949) @t1536))) % 18.94/19.18 (assume @p2100 (forall @t1821 (= (tptp.hAPP (tptp.hAPP @t2994 @t1949) @t1536) @t1949))) % 18.94/19.18 (assume @p2101 (forall @t1821 (= (tptp.hAPP @t2995 @t1949) @t1949))) % 18.94/19.18 (assume @p2102 (forall @t1852 (= (tptp.hAPP (tptp.hAPP @t2992 @t2460) @t2459) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2992 @t1537) @t1536))))) % 18.94/19.18 (assume @p2103 (forall @t1852 (= (tptp.hAPP (tptp.hAPP @t2994 @t2460) @t2459) (tptp.hAPP tptp.c_Nat_OSuc @t2996)))) % 18.94/19.18 (assume @p2104 (forall @t80 (=> @t68 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t2999) @t2997))))) % 18.94/19.18 (assume @p2105 (forall @t80 (=> @t68 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t3002) @t3001))))) % 18.94/19.18 (assume @p2106 (forall @t37 (=> @t68 (= (tptp.hAPP @t2967 @t32) @t32)))) % 18.94/19.18 (assume @p2107 (forall @t37 (=> @t68 (= (tptp.hAPP @t2978 @t32) @t32)))) % 18.94/19.18 (assume @p2108 (forall @t424 (=> @t68 (= (tptp.hAPP @t2961 @t81) @t81)))) % 18.94/19.18 (assume @p2109 (forall @t424 (=> @t68 (= (tptp.hAPP @t2972 @t81) @t81)))) % 18.94/19.18 (assume @p2110 (forall @t411 (=> @t68 (= @t2962 (tptp.hAPP @t3003 @t81))))) % 18.94/19.18 (assume @p2111 (forall @t69 (=> @t68 (= @t2968 @t3004)))) % 18.94/19.18 (assume @p2112 (forall @t411 (=> @t68 (= @t2973 (tptp.hAPP @t3005 @t81))))) % 18.94/19.18 (assume @p2113 (forall @t69 (=> @t68 (= @t2979 @t3006)))) % 18.94/19.18 (assume @p2114 (forall @t69 (=> @t68 (= (tptp.hAPP @t2967 @t2979) @t32)))) % 18.94/19.18 (assume @p2115 (forall @t69 (=> @t68 (= (tptp.hAPP @t2978 @t2968) @t32)))) % 18.94/19.18 (assume @p2116 (forall @t411 (=> @t68 (= (tptp.hAPP @t2961 @t2962) @t2962)))) % 18.94/19.18 (assume @p2117 (forall @t69 (=> @t68 (= (tptp.hAPP @t2967 @t2968) @t2968)))) % 18.94/19.18 (assume @p2118 (forall @t411 (=> @t68 (= (tptp.hAPP @t2972 @t2973) @t2973)))) % 18.94/19.18 (assume @p2119 (forall @t69 (=> @t68 (= (tptp.hAPP @t2978 @t2979) @t2979)))) % 18.94/19.18 (assume @p2120 (forall @t89 (=> @t68 (= (tptp.hAPP @t3003 (tptp.hAPP @t2961 @t82)) @t3007)))) % 18.94/19.18 (assume @p2121 (forall @t80 (=> @t68 (= @t3008 (tptp.hAPP @t2965 @t3000))))) % 18.94/19.18 (assume @p2122 (forall @t89 (=> @t68 (= (tptp.hAPP @t3005 (tptp.hAPP @t2972 @t82)) @t3009)))) % 18.94/19.18 (assume @p2123 (forall @t80 (=> @t68 (= @t3010 (tptp.hAPP @t2976 @t2998))))) % 18.94/19.18 (assume @p2124 (forall @t80 (=> @t68 (= @t3002 @t3001)))) % 18.94/19.18 (assume @p2125 (forall @t80 (=> @t68 (= @t2997 @t2999)))) % 18.94/19.18 (assume @p2126 (forall @t94 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t2960 @t2962) @t82) @t3007)))) % 18.94/19.18 (assume @p2127 (forall @t80 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t2960 @t2968) @t70) @t3008)))) % 18.94/19.18 (assume @p2128 (forall @t94 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t2971 @t2973) @t82) @t3009)))) % 18.94/19.18 (assume @p2129 (forall @t80 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t2971 @t2979) @t70) @t3010)))) % 18.94/19.18 (assume @p2130 (forall @t681 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t2960 @t2977) @t32) (tptp.hAPP (tptp.hAPP @t2971 @t3004) (tptp.hAPP (tptp.hAPP @t2960 @t70) @t32)))))) % 18.94/19.18 (assume @p2131 (forall @t681 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t2971 @t2966) @t32) (tptp.hAPP (tptp.hAPP @t2960 @t3006) (tptp.hAPP (tptp.hAPP @t2971 @t70) @t32)))))) % 18.94/19.18 (assume @p2132 (forall @t69 (=> @t3011 (= (tptp.hAPP @t404 @t2968) (tptp.hAPP (tptp.hAPP @t2971 @t405) @t406))))) % 18.94/19.18 (assume @p2133 (forall @t69 (=> @t3011 (= (tptp.hAPP @t404 @t2979) (tptp.hAPP (tptp.hAPP @t2960 @t405) @t406))))) % 18.94/19.18 (assume @p2134 (forall @t760 (=> (and @t2650 @t2178) (= (tptp.hAPP @t1931 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t38 tptp.tc_Nat_Onat) @t2) @t23)) (tptp.hAPP (tptp.hAPP @t2952 @t2176) @t23))))) % 18.94/19.18 (assume @p2135 (forall @t1101 (= (tptp.hAPP @t2182 @t2957) @t2954))) % 18.94/19.18 (assume @p2136 (forall (@list @t1536 @t1767 @t1537) (= (tptp.hAPP (tptp.hAPP @t2994 (tptp.hAPP @t1780 @t1767)) @t1907) (tptp.hAPP (tptp.hAPP @t1548 @t2996) @t1767)))) % 18.94/19.18 (assume @p2137 (forall @t227 (=> @t127 (= (tptp.hAPP (tptp.hAPP @t601 @t226) @t225) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t3015) @t3013))))) % 18.94/19.18 (assume @p2138 (forall @t227 (=> @t127 (= (tptp.hAPP @t3016 @t235) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t3015 @t3013))))) % 18.94/19.18 (assume @p2139 (forall @t227 (=> @t127 (= (tptp.hAPP (tptp.hAPP @t601 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t219 @t216)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t220 @t215)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t3015 @t3013))))) % 18.94/19.18 (assume @p2140 (forall @t658 (=> (and @t669 @t127) (= @t616 @t2935)))) % 18.94/19.18 (assume @p2141 (forall @t658 (=> (and @t519 @t127) (= @t466 @t2939)))) % 18.94/19.18 (assume @p2142 (forall @t227 (=> @t127 (= (tptp.hAPP (tptp.hAPP @t601 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t219 @t216)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t220 @t215)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t3015 @t3013))))) % 18.94/19.18 (assume @p2143 (forall @t1535 (=> @t2650 (= (tptp.hAPP (tptp.hAPP @t2952 (tptp.hAPP (tptp.hAPP @t1396 @t1528) @t1)) @t23) (tptp.hAPP (tptp.hAPP @t1212 @t3019) (tptp.hAPP @t3017 @t23)))))) % 18.94/19.18 (assume @p2144 (forall @t2011 (=> @t2650 (= (tptp.hAPP (tptp.hAPP @t2952 (tptp.hAPP @t1160 @t1494)) @t23) @t1494)))) % 18.94/19.18 (assume @p2145 (forall @t760 (=> @t3020 (= (tptp.hAPP @t2731 @t3019) (tptp.hAPP (tptp.hAPP @t2952 @t2732) @t23))))) % 18.94/19.18 (assume @p2146 (forall @t658 (=> @t127 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t2939)))) % 18.94/19.18 (assume @p2147 (forall @t658 (=> @t127 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t2935)))) % 18.94/19.18 (assume @p2148 (forall @t1101 (=> @t2651 (= (tptp.hAPP (tptp.hAPP @t3022 @t2) @t23) (tptp.hAPP (tptp.hAPP @t3021 @t2648) @t2364))))) % 18.94/19.18 (assume @p2149 (forall @t2090 (=> @t3027 (=> @t1292 (=> @t3026 @t3025))))) % 18.94/19.18 (assume @p2150 (forall @t2090 (=> (and @t3027 (tptp.class_Rings_Ono__zero__divisors @t38)) (=> @t1292 (= @t3025 @t3026))))) % 18.94/19.18 (assume @p2151 (forall @t1090 (=> @t2650 (= (tptp.hAPP @t3018 @t758) @t1494)))) % 18.94/19.18 (assume @p2152 (forall @t2087 (=> @t2650 (= (tptp.hAPP @t3017 @t758) @t1494)))) % 18.94/19.18 (assume @p2153 (forall @t2090 (=> @t1483 (=> @t2089 (= @t3024 @t1477))))) % 18.94/19.18 (assume @p2154 (forall @t2092 (=> @t1483 @t3028))) % 18.94/19.18 (assume @p2155 (forall @t2105 (=> @t1308 (= (= (tptp.hAPP @t2956 @t1082) @t1599) (forall @t7 (=> @t2104 @t2138)))))) % 18.94/19.18 (assume @p2156 (forall @t1061 (=> @t2651 (=> @t2677 (= @t3029 (tptp.hAPP (tptp.hAPP @t3022 @t2681) @t2674)))))) % 18.94/19.18 (assume @p2157 (forall @t1813 (= (tptp.hAPP (tptp.hAPP @t1596 @t1995) @t1537) (tptp.hAPP @t2993 @t1537)))) % 18.94/19.18 (assume @p2158 (forall @t1561 (=> @t1483 (=> @t1292 (= (tptp.hAPP (tptp.hAPP @t2944 @t1560) @t23) (tptp.hAPP @t3030 (tptp.hAPP (tptp.hAPP @t2944 @t1104) @t23))))))) % 18.94/19.18 (assume @p2159 (forall @t3033 (=> @t1580 (= @t3032 @t3031)))) % 18.94/19.18 (assume @p2160 (forall @t3040 (=> @t3039 (=> @t1088 (=> @t3038 (=> (= @t1 @t1550) @t3037)))))) % 18.94/19.18 (assume @p2161 (forall @t1556 (=> @t3039 (=> @t1087 (= (tptp.hAPP @t3036 @t673) (tptp.hAPP (tptp.hAPP @t3034 @t1550) @t22)))))) % 18.94/19.18 (assume @p2162 (forall @t2097 (= (tptp.hAPP @t3043 @t561) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t2478 (tptp.hAPP @t3042 @t3041) @t561)))) % 18.94/19.18 (assume @p2163 (forall @t1827 (= (tptp.hAPP (tptp.hAPP @t2992 @t561) @t2478) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t2478 (tptp.hAPP @t3042 (tptp.hAPP (tptp.hAPP @t1604 @t2992) @t831)) @t561)))) % 18.94/19.18 (assume @p2164 (forall @t2148 (=> @t1483 (=> @t1580 (and (=> @t2145 (= @t3044 @t2147)) (=> @t2146 (= @t3044 @t1477))))))) % 18.94/19.18 (assume @p2165 (forall @t2148 (=> @t1483 (=> @t1580 (and (=> @t2145 (= @t3045 @t2147)) (=> @t2146 (= @t3045 @t1477))))))) % 18.94/19.18 (assume @p2166 (forall @t376 (=> @t127 (=> @t1292 (=> @t335 (= @t3046 @t2928)))))) % 18.94/19.18 (assume @p2167 (forall @t376 (=> @t127 (=> @t1292 (=> @t335 (= @t3047 @t2929)))))) % 18.94/19.18 (assume @p2168 (forall @t656 (=> (and @t814 @t127) (=> @t740 (tptp.hBOOL (tptp.hAPP @t813 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2939 @t23) @t22)))))))) % 18.94/19.18 (assume @p2169 (forall @t656 (=> (and @t818 @t127) (=> @t740 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2935 @t23) @t22))) @t816)))))) % 18.94/19.18 (assume @p2170 (forall (@list @t215 @t220 @t216 @t10) (=> @t127 (= (tptp.hAPP (tptp.hAPP @t601 (tptp.hAPP @t139 @t216)) @t235) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t220 @t3013))))) % 18.94/19.18 (assume @p2171 (forall (@list @t215 @t216 @t219 @t10) (=> @t127 (= (tptp.hAPP @t3016 (tptp.hAPP @t139 @t215)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t219 @t3013))))) % 18.94/19.18 (assume @p2172 (forall (@list @t215 @t220 @t219 @t10) (=> @t127 (= (tptp.hAPP (tptp.hAPP @t601 (tptp.hAPP @t136 @t219)) @t235) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t3015 @t215))))) % 18.94/19.18 (assume @p2173 (forall @t936 (=> @t127 (= (tptp.hAPP @t3016 (tptp.hAPP @t136 @t220)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t3015 @t216))))) % 18.94/19.18 (assume @p2174 (forall @t51 (=> @t127 (=> @t1292 (= @t2928 @t3048))))) % 18.94/19.18 (assume @p2175 (forall @t51 (=> @t127 (=> @t1292 (= @t2929 @t3050))))) % 18.94/19.18 (assume @p2176 (forall @t1588 (=> @t1483 (=> @t1292 (=> @t874 (= @t3051 (tptp.hAPP @t2946 @t2948))))))) % 18.94/19.18 (assume @p2177 (forall @t1493 (=> @t1483 (=> @t1292 (=> @t252 (= (tptp.hAPP @t3023 @t854) (tptp.hAPP (tptp.hAPP @t1466 @t903) @t3024))))))) % 18.94/19.18 (assume @p2178 (forall @t1484 (=> @t1483 (=> @t1292 (=> @t1335 (= (tptp.hAPP (tptp.hAPP @t1466 @t3053) (tptp.hAPP @t2945 @t603)) @t3052)))))) % 18.94/19.18 (assume @p2179 (forall @t1569 (=> @t1483 (=> @t1292 (=> @t1567 (= (tptp.hAPP @t2945 @t1565) (tptp.hAPP (tptp.hAPP @t2944 @t1564) @t23))))))) % 18.94/19.18 (assume @p2180 (forall @t2092 (=> @t1483 @t3054))) % 18.94/19.18 (assume @p2181 (forall @t2092 (=> @t1483 (and @t3054 @t3028)))) % 18.94/19.18 (assume @p2182 (forall @t2097 (= (tptp.hAPP @t3056 @t561) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1949 (tptp.hAPP @t3042 @t3055) @t561)))) % 18.94/19.18 (assume @p2183 (forall @t1827 (= (tptp.hAPP (tptp.hAPP @t2994 @t561) @t2478) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1949 (tptp.hAPP @t3042 (tptp.hAPP (tptp.hAPP @t1604 @t2994) @t831)) @t561)))) % 18.94/19.18 (assume @p2184 (forall @t1305 (=> @t127 (=> @t1292 (=> @t251 (tptp.hBOOL (tptp.hAPP @t3057 @t219))))))) % 18.94/19.18 (assume @p2185 (forall @t376 (=> @t127 (=> @t1292 (=> @t756 (= (tptp.hBOOL (tptp.hAPP @t3057 @t47)) (exists @t7 (and @t326 (tptp.hBOOL (tptp.hAPP @t382 @t47)))))))))) % 18.94/19.18 (assume @p2186 (forall @t376 (=> @t127 (=> @t1292 (=> @t756 (= (tptp.hBOOL (tptp.hAPP @t100 @t3050)) @t1473)))))) % 18.94/19.18 (assume @p2187 (forall @t376 (=> @t127 (=> @t1292 (=> @t756 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t3050) @t47)) (exists @t7 (and @t326 (tptp.hBOOL (tptp.hAPP @t1050 @t47)))))))))) % 18.94/19.18 (assume @p2188 (forall @t376 (=> @t127 (=> @t1292 (=> @t756 (= (tptp.hBOOL (tptp.hAPP @t990 @t3050)) (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t990 @t3)))))))))) % 18.94/19.18 (assume @p2189 (forall @t376 (=> @t127 (=> @t1292 @t3059)))) % 18.94/19.18 (assume @p2190 (forall @t376 (=> @t127 (=> @t1292 @t3061)))) % 18.94/19.18 (assume @p2191 (forall @t31 (=> @t127 (=> @t1292 (=> @t1364 (=> @t28 (= (tptp.hAPP (tptp.hAPP @t2939 @t3062) @t2928) @t2928))))))) % 18.94/19.18 (assume @p2192 (forall @t31 (=> @t127 (=> @t1292 (=> @t1364 (=> @t28 (= (tptp.hAPP (tptp.hAPP @t2935 @t3063) @t2929) @t2929))))))) % 18.94/19.18 (assume @p2193 (forall @t31 (=> @t127 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 @t3066))))))) % 18.94/19.18 (assume @p2194 (forall @t31 (=> @t127 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 @t3069))))))) % 18.94/19.18 (assume @p2195 (forall @t1747 (=> @t1483 (=> @t1292 (= @t3051 @t2947))))) % 18.94/19.18 (assume @p2196 (forall @t1484 (=> @t1483 (=> @t1292 (=> @t1335 (=> @t765 @t3070)))))) % 18.94/19.18 (assume @p2197 (forall @t376 (=> @t127 (=> @t1292 (=> @t874 @t3059))))) % 18.94/19.18 (assume @p2198 (forall @t376 (=> @t127 (=> @t1292 (=> @t874 @t3061))))) % 18.94/19.18 (assume @p2199 (forall @t31 (=> @t127 (=> @t756 (=> @t30 (=> @t1335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t3049 @t22)) @t3050)))))))) % 18.94/19.18 (assume @p2200 (forall @t376 (=> @t127 (=> @t1292 (and (=> @t1289 (= @t3058 @t47)) (=> @t1290 (= @t3058 @t2941))))))) % 18.94/19.18 (assume @p2201 (forall @t31 (=> @t127 (=> @t1292 (=> @t1335 (=> @t1361 (= (tptp.hAPP (tptp.hAPP @t2939 @t3065) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t603)) @t3064))))))) % 18.94/19.18 (assume @p2202 (forall @t31 (=> @t127 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (=> @t765 @t3066)))))))) % 18.94/19.18 (assume @p2203 (forall @t376 (=> @t127 (=> @t1292 (and (=> @t1289 (= @t3060 @t47)) (=> @t1290 (= @t3060 @t2937))))))) % 18.94/19.18 (assume @p2204 (forall @t31 (=> @t127 (=> @t1292 (=> @t1335 (=> @t1361 (= (tptp.hAPP (tptp.hAPP @t2935 @t3068) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t603)) @t3067))))))) % 18.94/19.18 (assume @p2205 (forall @t31 (=> @t127 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (=> @t765 @t3069)))))))) % 18.94/19.18 (assume @p2206 (forall @t658 (=> @t127 (= (tptp.c_Orderings_Oord_Omin @t10 @t3071) @t2939)))) % 18.94/19.18 (assume @p2207 (forall @t658 (=> @t127 (= (tptp.c_Orderings_Oord_Omax @t10 @t3071) @t2935)))) % 18.94/19.18 (assume @p2208 (forall @t658 (=> @t388 (= @t2939 (tptp.c_Orderings_Oord_Omax @t10 @t99))))) % 18.94/19.18 (assume @p2209 (forall @t658 (=> @t388 (= @t2935 (tptp.c_Orderings_Oord_Omin @t10 @t99))))) % 18.94/19.18 (assume @p2210 (forall @t376 (=> @t127 (=> @t1292 (=> @t756 (= (tptp.hAPP @t2940 @t3072) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 (tptp.hAPP @t2805 (tptp.hAPP @t2890 (tptp.hAPP (tptp.hAPP @t951 (tptp.hAPP @t2884 (tptp.hAPP @t2881 (tptp.hAPP @t2893 @t2940)))) @t375)))))))))) % 18.94/19.18 (assume @p2211 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t2994)) % 18.94/19.18 (assume @p2212 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t2992)) % 18.94/19.18 (assume @p2213 (forall @t376 (=> @t127 (=> @t1292 (=> @t335 (= @t3073 @t3072)))))) % 18.94/19.18 (assume @p2214 (forall @t597 (=> @t127 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 @t873) @t47)))) % 18.94/19.18 (assume @p2215 (forall @t51 (=> @t127 (=> @t1292 (= @t3072 @t3050))))) % 18.94/19.18 (assume @p2216 (forall @t376 (=> @t127 (=> @t1292 @t3075)))) % 18.94/19.18 (assume @p2217 (forall @t31 (=> @t127 (=> @t1292 (=> @t1364 (=> @t28 (= (tptp.hAPP (tptp.hAPP @t2935 @t3076) @t3072) @t3072))))))) % 18.94/19.18 (assume @p2218 (forall @t1305 (=> @t127 (=> @t1292 (=> @t251 (= (tptp.hAPP @t3014 @t3072) @t219)))))) % 18.94/19.18 (assume @p2219 (forall @t31 (=> @t127 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 @t3079))))))) % 18.94/19.18 (assume @p2220 (forall @t376 (=> @t127 (=> @t1292 (=> @t874 @t3075))))) % 18.94/19.18 (assume @p2221 (forall @t376 (=> @t127 (=> @t1292 (and (=> @t1289 (= @t3074 @t47)) (=> @t1290 (= @t3074 @t3080))))))) % 18.94/19.18 (assume @p2222 (forall @t31 (=> @t127 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (=> @t765 @t3079)))))))) % 18.94/19.18 (assume @p2223 (forall @t31 (=> @t127 (=> @t1292 (=> @t1335 (=> @t1361 (= (tptp.hAPP (tptp.hAPP @t2935 @t3078) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 @t603)) @t3077))))))) % 18.94/19.18 (assume @p2224 (forall @t376 (=> @t127 (=> @t1292 (=> @t335 (and (=> @t1289 (= @t3072 @t47)) (=> @t1290 (= @t3072 @t3080)))))))) % 18.94/19.18 (assume @p2225 (forall @t31 (=> @t127 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (= (tptp.hAPP (tptp.hAPP @t2939 @t3072) @t3076) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 (tptp.hAPP @t2805 (tptp.hAPP @t2890 (tptp.hAPP @t2891 (tptp.hAPP (tptp.hAPP @t2888 (tptp.hAPP @t2887 (tptp.hAPP @t2886 (tptp.hAPP @t2883 (tptp.hAPP @t2879 @t2939))))) @t2875))))))))))))) % 18.94/19.18 (assume @p2226 (forall @t1061 (=> @t2680 (= (tptp.hAPP (tptp.hAPP @t2953 @t2) @t23) (tptp.hAPP @t2182 (tptp.hAPP (tptp.hAPP @t2955 @t2679) @t23)))))) % 18.94/19.18 (assume @p2227 (forall @t31 (=> @t127 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (= (tptp.hAPP (tptp.hAPP @t2935 @t3082) @t3081) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 (tptp.hAPP @t2805 (tptp.hAPP @t2890 (tptp.hAPP @t2891 (tptp.hAPP (tptp.hAPP @t2888 (tptp.hAPP @t2887 (tptp.hAPP @t2886 (tptp.hAPP @t2883 (tptp.hAPP @t2879 @t2935))))) @t2875))))))))))))) % 18.94/19.18 (assume @p2228 (forall @t376 (=> @t127 (=> @t1292 (=> @t756 (= (tptp.hAPP @t2936 @t3082) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 (tptp.hAPP @t2805 (tptp.hAPP @t2890 (tptp.hAPP (tptp.hAPP @t951 (tptp.hAPP @t2884 (tptp.hAPP @t2881 (tptp.hAPP @t2893 @t2936)))) @t375)))))))))) % 18.94/19.18 (assume @p2229 (forall @t51 (=> @t127 (=> @t1292 (=> @t756 (=> @t3084 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t3072) @t23)))))))) % 18.94/19.18 (assume @p2230 (forall @t376 (=> @t127 (=> @t1292 (=> @t335 (= @t3085 @t3082)))))) % 18.94/19.18 (assume @p2231 (forall @t597 (=> @t127 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 @t873) @t47)))) % 18.94/19.18 (assume @p2232 (forall @t51 (=> @t127 (=> @t1292 (= @t3082 @t3048))))) % 18.94/19.18 (assume @p2233 (forall @t376 (=> @t127 (=> @t1292 @t3087)))) % 18.94/19.18 (assume @p2234 (forall @t31 (=> @t127 (=> @t1292 (=> @t1364 (=> @t28 (= (tptp.hAPP (tptp.hAPP @t2939 @t3081) @t3082) @t3082))))))) % 18.94/19.18 (assume @p2235 (forall @t1305 (=> @t127 (=> @t1292 (=> @t251 (= (tptp.hAPP @t3088 @t3082) @t219)))))) % 18.94/19.18 (assume @p2236 (forall @t31 (=> @t127 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 @t3091))))))) % 18.94/19.18 (assume @p2237 (forall @t376 (=> @t127 (=> @t1292 (=> @t874 @t3087))))) % 18.94/19.18 (assume @p2238 (forall @t376 (=> @t127 (=> @t1292 (and (=> @t1289 (= @t3086 @t47)) (=> @t1290 (= @t3086 @t3092))))))) % 18.94/19.18 (assume @p2239 (forall @t31 (=> @t127 (=> @t1292 (=> @t1335 (=> @t1361 (= (tptp.hAPP (tptp.hAPP @t2939 @t3090) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 @t603)) @t3089))))))) % 18.94/19.18 (assume @p2240 (forall @t31 (=> @t127 (=> @t1292 (=> @t756 (=> @t1335 (=> @t1364 (=> @t765 @t3091)))))))) % 18.94/19.18 (assume @p2241 (forall @t376 (=> @t127 (=> @t1292 (=> @t335 (and (=> @t1289 (= @t3082 @t47)) (=> @t1290 (= @t3082 @t3092)))))))) % 18.94/19.18 (assume @p2242 (forall @t51 (=> @t127 (=> @t1292 (=> @t756 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3072) @t3082))))))) % 18.94/19.18 (assume @p2243 (forall @t51 (=> @t127 (=> @t1292 (=> @t756 (=> @t3094 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t3082) @t23)))))))) % 18.94/19.18 (assume @p2244 (forall @t51 (=> @t127 (=> @t1292 (=> @t756 (=> @t3094 @t2931)))))) % 18.94/19.18 (assume @p2245 (forall @t51 (=> @t127 (=> @t1292 (=> @t756 (=> @t3084 @t2930)))))) % 18.94/19.18 (assume @p2246 (forall @t1484 (=> @t1483 (=> @t1292 (=> @t1335 (=> (forall @t7 (=> @t2432 (= @t4 @t1477))) @t3070)))))) % 18.94/19.18 (assume @p2247 (forall @t1581 (=> @t1483 (=> @t1580 (=> @t1579 (=> @t1578 (= (tptp.hAPP @t3023 @t1575) (tptp.hAPP (tptp.hAPP @t1466 @t3096) @t3095)))))))) % 18.94/19.18 (assume @p2248 (forall (@list @t220 @t216 @t219 @t348 @t10 @t38) (=> @t1483 (=> @t1580 (and (=> @t2145 (= @t3100 (tptp.hAPP (tptp.hAPP @t1466 @t2147) (tptp.hAPP @t3099 (tptp.hAPP (tptp.hAPP @t1548 @t3097) @t1599))))) (=> @t2146 (= @t3100 (tptp.hAPP @t3099 @t3097)))))))) % 18.94/19.18 (assume @p2249 (forall (@list @t219 @t2 @t23 @t10 @t38) (=> @t3104 (=> @t1292 (=> (not (= @t903 @t2088)) (and (=> @t251 (= @t3101 (tptp.hAPP @t3103 @t903))) (=> @t252 (= @t3101 @t3024)))))))) % 18.94/19.18 (assume @p2250 (forall @t1435 (=> @t127 (=> @t3105 (=> @t1432 (=> @t1431 (= (tptp.hAPP @t1104 (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 @t1428)) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 @t1430)))))))) % 18.94/19.18 (assume @p2251 (forall @t3109 (=> @t2670 (tptp.c_Nat__Transfer_Ois__nat @t3108)))) % 18.94/19.18 (assume @p2252 (forall (@list @t1536 @t70 @t33) (=> @t2122 (= (tptp.hAPP @t2687 @t3111) (tptp.hAPP (tptp.hAPP @t3110 @t2708) @t1536))))) % 18.94/19.18 (assume @p2253 (forall @t37 (=> @t1582 (= (tptp.hAPP @t3112 @t1599) @t32)))) % 18.94/19.18 (assume @p2254 (forall @t1850 (= (tptp.hAPP (tptp.hAPP @t3106 @t3113) @t70) (tptp.hAPP @t3107 (tptp.hAPP (tptp.hAPP @t1752 @t64) @t70))))) % 18.94/19.18 (assume @p2255 (forall @t424 (=> @t3116 (= (tptp.hAPP @t3115 @t1955) @t1955)))) % 18.94/19.18 (assume @p2256 (forall @t424 (=> @t3117 (= (tptp.hAPP (tptp.hAPP @t3114 @t1955) @t81) @t1955)))) % 18.94/19.18 (assume @p2257 (forall @t94 (=> @t3117 (= (tptp.hAPP @t3120 @t82) (tptp.hAPP (tptp.hAPP @t1627 @t3119) @t3118))))) % 18.94/19.18 (assume @p2258 (forall @t94 (=> @t3117 (= (tptp.hAPP @t1240 @t3118) (tptp.hAPP (tptp.hAPP @t3114 @t1245) @t82))))) % 18.94/19.18 (assume @p2259 (forall @t94 (=> @t3117 (= (tptp.hAPP (tptp.hAPP @t3114 @t881) @t82) (tptp.hAPP (tptp.hAPP @t877 @t3119) @t3118))))) % 18.94/19.18 (assume @p2260 (forall (@list @t2329 @t64 @t32 @t33) (=> @t1582 (= (tptp.hAPP (tptp.hAPP @t3110 @t1639) @t2329) (tptp.hAPP @t3123 (tptp.hAPP @t3121 @t2329)))))) % 18.94/19.18 (assume @p2261 (forall @t424 (=> @t3117 (= (tptp.hAPP @t3115 @t1518) @t81)))) % 18.94/19.18 (assume @p2262 (forall @t411 (=> @t3117 (= @t3126 (tptp.hAPP @t3124 @t85))))) % 18.94/19.18 (assume @p2263 (forall @t1852 (= @t3130 @t3127))) % 18.94/19.18 (assume @p2264 (forall @t1852 (= @t3127 @t3130))) % 18.94/19.18 (assume @p2265 (forall @t3109 (= (tptp.hAPP (tptp.hAPP @t3106 @t2368) @t1536) (tptp.hAPP @t2182 (tptp.hAPP (tptp.hAPP @t3128 @t32) @t1536))))) % 18.94/19.18 (assume @p2266 (forall @t3134 (=> @t1582 (= (tptp.hAPP (tptp.hAPP @t3110 @t3133) @t2329) (tptp.hAPP @t3112 (tptp.hAPP @t3132 @t2329)))))) % 18.94/19.18 (assume @p2267 (forall @t3109 (=> @t2383 (= (tptp.hAPP (tptp.hAPP @t3128 @t2663) @t1536) (tptp.hAPP tptp.c_Int_Onat @t3108))))) % 18.94/19.18 (assume @p2268 (forall (@list @t1536 @t70) (=> @t2265 (= (tptp.hAPP tptp.c_Int_Onat @t3111) (tptp.hAPP (tptp.hAPP @t3128 @t2633) @t1536))))) % 18.94/19.18 (assume @p2269 (forall @t1531 (=> @t3136 (= (tptp.hAPP (tptp.hAPP @t3135 @t1526) @t124) (tptp.hAPP (tptp.hAPP @t1496 (tptp.hAPP (tptp.hAPP @t1183 (tptp.hAPP (tptp.hAPP @t1394 @t3135) @t2)) @t124)) @t23))))) % 18.94/19.18 (assume @p2270 (forall @t1691 (=> @t3143 (=> @t3142 (= @t3140 @t3137))))) % 18.94/19.18 (assume @p2271 (forall @t3146 (=> @t3143 (=> @t3142 (= @t3145 @t3144))))) % 18.94/19.18 (assume @p2272 (forall @t2025 (=> @t3117 (=> @t3148 (=> (= @t85 @t1633) (= @t3118 @t81)))))) % 18.94/19.18 (assume @p2273 (forall @t1683 (=> @t3117 (=> @t3148 (=> (= @t1633 @t85) (= @t81 @t3118)))))) % 18.94/19.18 (assume @p2274 (forall @t424 (=> @t3116 (and (=> @t1982 (= @t3149 @t1955)) @t3150)))) % 18.94/19.18 (assume @p2275 (forall @t424 (=> @t3117 @t3150))) % 18.94/19.18 (assume @p2276 (forall @t429 (=> @t3143 (=> (not @t1977) (= (= @t3151 @t1494) @t330))))) % 18.94/19.18 (assume @p2277 (forall @t1005 (=> @t3117 (=> @t1981 @t3152)))) % 18.94/19.18 (assume @p2278 (forall @t1005 (=> @t3117 (=> @t1981 @t3153)))) % 18.94/19.18 (assume @p2279 (forall @t3155 (=> @t1582 (= (tptp.hAPP @t3123 @t32) @t3154)))) % 18.94/19.18 (assume @p2280 (forall @t3155 (=> @t1582 (= @t3156 @t3154)))) % 18.94/19.18 (assume @p2281 (forall @t3155 (=> @t1582 (= @t3154 @t3156)))) % 18.94/19.18 (assume @p2282 (forall @t37 (=> @t1582 (= (tptp.hAPP @t3112 @t1949) @t1518)))) % 18.94/19.18 (assume @p2283 (forall @t3134 (=> @t1582 (= (tptp.hAPP (tptp.hAPP @t1239 @t3133) @t3122) (tptp.hAPP @t3112 (tptp.hAPP (tptp.hAPP @t1596 @t3131) @t2329)))))) % 18.94/19.18 (assume @p2284 (forall @t3109 (=> @t2383 (tptp.hBOOL (tptp.hAPP @t2233 @t3108))))) % 18.94/19.18 (assume @p2285 (forall @t1850 (= (tptp.hAPP @t3107 @t1849) (tptp.hAPP (tptp.hAPP @t2194 @t3113) (tptp.hAPP @t3107 @t70))))) % 18.94/19.18 (assume @p2286 (forall @t3160 (=> @t2548 (=> @t2447 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t3159) @t2446)))))) % 18.94/19.18 (assume @p2287 (forall @t1584 (=> (tptp.class_Fields_Ofield__inverse__zero @t38) (=> @t1292 (= (tptp.hAPP (tptp.hAPP @t2944 (tptp.hAPP (tptp.hAPP @t1559 (tptp.hAPP (tptp.hAPP @t1558 @t3102) @t2)) @t1)) @t23) (tptp.hAPP @t3103 @t2948)))))) % 18.94/19.18 (assume @p2288 (forall (@list @t831 @t47 @t10) (=> @t3136 (=> (not @t1495) (= (tptp.hAPP (tptp.hAPP @t1505 @t3161) @t2107) (tptp.hAPP (tptp.hAPP @t3135 (tptp.hAPP (tptp.hAPP @t865 (tptp.hAPP @t3161 @t831)) @t1494)) (tptp.hAPP (tptp.hAPP @t865 @t47) @t1494))))))) % 18.94/19.18 (assume @p2289 (forall @t3109 (tptp.hBOOL (tptp.hAPP @t2233 (tptp.hAPP (tptp.hAPP @t3106 @t2767) @t1536))))) % 18.94/19.18 (assume @p2290 (forall (@list @t97 @t23 @t10 @t38) (=> @t1483 (=> @t1292 (= (tptp.hAPP (tptp.hAPP @t2944 (tptp.hAPP @t767 @t97)) @t23) (tptp.hAPP (tptp.hAPP @t3098 @t97) @t2455)))))) % 18.94/19.18 (assume @p2291 (forall (@list @t3131 @t1537) (and (=> @t2103 (= @t3163 @t1599)) (=> @t2171 (= @t3163 (tptp.hAPP @t3132 (tptp.hAPP @t3162 @t2170))))))) % 18.94/19.18 (assume @p2292 (forall @t3164 (= (tptp.hBOOL (tptp.hAPP @t2192 (tptp.hAPP (tptp.hAPP @t3106 (tptp.hAPP @t2728 @t47)) @t831))) (or (not (= @t47 @t2188)) @t1987)))) % 18.94/19.18 (assume @p2293 (forall @t51 (=> @t1292 (= (tptp.hAPP @t3166 @t202) (tptp.hAPP @t3165 @t2455))))) % 18.94/19.18 (assume @p2294 (forall @t3173 (=> @t1539 (=> @t1004 (=> @t2017 (=> @t1992 @t3172)))))) % 18.94/19.18 (assume @p2295 (forall (@list @t1537 @t1536 @t81 @t33) (=> @t3175 (=> @t1983 (=> @t1812 (= (tptp.hAPP @t3169 @t1810) (tptp.hAPP (tptp.hAPP @t3114 @t3174) @t3170))))))) % 18.94/19.18 (assume @p2296 (forall @t3177 (=> @t1539 (=> @t3176 (=> @t1992 (tptp.hBOOL (tptp.hAPP @t1538 @t3170))))))) % 18.94/19.18 (assume @p2297 (forall @t3183 (=> @t1954 (=> @t3182 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3180) @t3179)) @t2369))))) % 18.94/19.18 (assume @p2298 (forall @t3177 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t33) (=> @t1983 (not (= @t3170 @t1955)))))) % 18.94/19.18 (assume @p2299 (forall @t1821 (= (tptp.hAPP (tptp.hAPP @t3128 @t2451) @t1536) @t2451))) % 18.94/19.18 (assume @p2300 (forall (@list @t561 @t47) (= (= (tptp.hAPP @t3184 @t561) @t2451) (or @t1993 (= @t47 @t2451))))) % 18.94/19.18 (assume @p2301 (forall @t3188 (=> (tptp.hBOOL (tptp.hAPP @t1951 @t1767)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t3187) @t3186)) @t1865)))) % 18.94/19.18 (assume @p2302 (forall @t3164 (= (tptp.hBOOL (tptp.hAPP @t1951 (tptp.hAPP @t3184 @t831))) (or (tptp.hBOOL (tptp.hAPP @t1951 @t47)) @t1987)))) % 18.94/19.18 (assume @p2303 (forall @t3173 (=> @t1521 (= (tptp.hAPP (tptp.hAPP @t3110 @t1245) @t1536) (tptp.hAPP @t3189 @t3168))))) % 18.94/19.18 (assume @p2304 (forall @t3177 (=> @t1520 (= @t3191 @t3190)))) % 18.94/19.18 (assume @p2305 (forall @t1964 (=> @t1520 (= (tptp.hAPP @t3192 @t1536) @t1518)))) % 18.94/19.18 (assume @p2306 (forall @t1540 (=> @t1959 (= (tptp.hAPP @t1956 @t3129) (tptp.hAPP (tptp.hAPP @t3110 @t1957) @t1536))))) % 18.94/19.18 (assume @p2307 (forall @t3193 (=> @t1520 (= (tptp.hAPP @t3169 @t1860) (tptp.hAPP (tptp.hAPP @t3110 @t3174) @t1536))))) % 18.94/19.18 (assume @p2308 (forall @t3173 (=> @t3195 @t3194))) % 18.94/19.18 (assume @p2309 (forall @t3177 (=> @t1345 (= @t3198 @t3197)))) % 18.94/19.18 (assume @p2310 (forall @t424 (=> @t1520 (= (tptp.hAPP @t3169 @t1599) @t81)))) % 18.94/19.18 (assume @p2311 (forall @t3177 (=> @t1539 (=> @t2017 (tptp.hBOOL (tptp.hAPP @t1963 @t3170)))))) % 18.94/19.18 (assume @p2312 (forall @t3173 (=> @t1539 (=> @t92 (=> @t2017 (tptp.hBOOL (tptp.hAPP @t3199 @t3168))))))) % 18.94/19.18 (assume @p2313 (forall @t3177 (=> @t1539 (=> @t2052 (tptp.hBOOL (tptp.hAPP @t2051 @t3170)))))) % 18.94/19.18 (assume @p2314 (forall @t3160 (=> (and @t3200 (tptp.class_Rings_Omult__zero @t10) (tptp.class_Rings_Ono__zero__divisors @t10) (tptp.class_Rings_Ozero__neq__one @t10)) (= (= @t3159 @t1939) (and @t1966 @t1988))))) % 18.94/19.18 (assume @p2315 (forall @t3177 (=> @t1539 (=> @t3201 (tptp.hBOOL (tptp.hAPP @t2084 @t3170)))))) % 18.94/19.18 (assume @p2316 (forall @t1964 (=> @t3204 (= (tptp.hAPP @t3202 @t2459) @t1955)))) % 18.94/19.18 (assume @p2317 (forall (@list @t831 @t561 @t219 @t10) (=> @t1954 (=> (tptp.hBOOL (tptp.hAPP @t3181 @t219)) (= (= (tptp.hAPP @t3158 @t561) @t3159) @t1825))))) % 18.94/19.18 (assume @p2318 (forall @t3177 (=> @t3203 (= @t3205 @t3190)))) % 18.94/19.18 (assume @p2319 (forall @t3177 (=> @t1520 (= @t3205 @t3191)))) % 18.94/19.18 (assume @p2320 (forall @t1908 (=> (tptp.hBOOL (tptp.hAPP @t2559 @t1767)) (tptp.hBOOL (tptp.hAPP @t2559 @t3186))))) % 18.94/19.18 (assume @p2321 (forall @t424 (=> @t3203 (= (tptp.hAPP @t3169 @t1949) @t1518)))) % 18.94/19.18 (assume @p2322 (forall @t3193 (=> @t1520 (= (tptp.hAPP @t3169 @t1845) (tptp.hAPP (tptp.hAPP @t1239 @t3174) @t3170))))) % 18.94/19.18 (assume @p2323 (forall (@list @t1536 @t81 @t85 @t33) (=> @t3175 (=> @t1981 @t3194)))) % 18.94/19.18 (assume @p2324 (forall @t3177 (=> @t3195 (= (tptp.hAPP @t3206 @t3170) (tptp.hAPP (tptp.hAPP @t3110 (tptp.hAPP @t3206 @t81)) @t1536))))) % 18.94/19.18 (assume @p2325 (forall @t3177 (=> @t1345 (= (tptp.hAPP @t2735 @t3208) @t3198)))) % 18.94/19.18 (assume @p2326 (forall @t3209 (=> @t1539 (=> @t3172 (=> @t2016 @t1004))))) % 18.94/19.18 (assume @p2327 (forall @t3209 (=> @t1539 (=> (= @t3205 @t3210) (=> @t2017 (=> @t2016 @t95)))))) % 18.94/19.18 (assume @p2328 (forall @t3209 (=> @t1539 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t3205) @t3210)) (=> @t2016 @t92))))) % 18.94/19.18 (assume @p2329 (forall @t3177 (=> @t1539 (=> @t3176 (tptp.hBOOL (tptp.hAPP @t3171 @t3190)))))) % 18.94/19.18 (assume @p2330 (forall @t3177 (=> @t1539 (=> @t3176 (tptp.hBOOL (tptp.hAPP @t1538 @t3190)))))) % 18.94/19.18 (assume @p2331 (forall @t1964 (=> @t3204 (and (=> @t1990 (= @t3211 @t1518)) (=> @t1991 (= @t3211 @t1955)))))) % 18.94/19.18 (assume @p2332 (forall @t3177 (=> @t1539 (=> @t3176 (tptp.hBOOL (tptp.hAPP @t1538 @t3205)))))) % 18.94/19.18 (assume @p2333 (forall @t3183 (=> @t1954 (=> @t3182 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t3180) @t3179)) @t2166))))) % 18.94/19.18 (assume @p2334 (forall @t3193 (=> @t1539 (=> @t3176 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3174) @t3170)) @t1865))))) % 18.94/19.18 (assume @p2335 (forall @t3215 (=> @t1539 (=> @t3214 (=> @t3176 (tptp.hBOOL (tptp.hAPP @t3171 @t3213))))))) % 18.94/19.18 (assume @p2336 (forall @t3177 (=> @t1345 (tptp.hBOOL (tptp.hAPP @t1963 @t3197))))) % 18.94/19.18 (assume @p2337 (forall @t3215 (=> @t1539 (=> @t3216 (=> @t3201 (tptp.hBOOL (tptp.hAPP @t3199 @t3213))))))) % 18.94/19.18 (assume @p2338 (forall @t3177 (=> @t2122 (= @t3208 (tptp.hAPP (tptp.hAPP @t1239 (tptp.hAPP @t3217 @t1536)) @t3170))))) % 18.94/19.18 (assume @p2339 (forall @t3177 (=> @t1539 (=> @t2052 (=> @t3218 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3190) @t3170))))))) % 18.94/19.18 (assume @p2340 (forall @t3209 (=> @t1539 (=> (= @t3170 @t3168) (=> @t2017 (=> @t2016 (=> @t1992 @t95))))))) % 18.94/19.18 (assume @p2341 (forall @t3177 (=> @t1539 (=> @t2052 (=> @t3218 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3205) @t1518))))))) % 18.94/19.18 (assume @p2342 (forall @t3215 (=> @t1539 (=> @t3214 (=> @t2052 (=> @t3218 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3213) @t3170)))))))) % 18.94/19.18 (assume @p2343 (forall @t3215 (=> @t1539 (=> @t3216 (=> @t2017 (=> (tptp.hBOOL (tptp.hAPP @t90 @t1518)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t3213) @t3170)))))))) % 18.94/19.18 (assume @p2344 (forall @t3193 (=> @t1539 (=> @t3176 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t3174) @t3170)) @t1854))))) % 18.94/19.18 (assume @p2345 (forall @t936 (=> @t3224 (= @t3223 (and (=> @t2079 @t3222) (=> @t3221 (and (=> @t2077 @t3220) (=> @t3219 @t2015)))))))) % 18.94/19.18 (assume @p2346 (forall @t3227 (=> @t3224 (= @t3226 (and (=> @t2079 @t3220) (=> @t3221 (and (=> @t2077 @t3222) (=> @t3219 @t2014)))))))) % 18.94/19.18 (assume @p2347 (forall @t1691 (=> @t3020 (=> @t2079 (= @t3223 @t3222))))) % 18.94/19.18 (assume @p2348 (forall @t3146 (=> @t3020 (=> @t2079 (= @t3226 @t3220))))) % 18.94/19.18 (assume @p2349 (forall (@list @t2278 @t70 @t64 @t32 @t33) (=> @t3195 (= (tptp.hAPP (tptp.hAPP @t1239 @t3229) (tptp.hAPP (tptp.hAPP @t3114 @t70) @t2278)) (tptp.hAPP (tptp.hAPP @t3114 @t1638) (tptp.hAPP @t2120 @t2278)))))) % 18.94/19.18 (assume @p2350 (forall @t411 (=> @t3195 @t3153))) % 18.94/19.18 (assume @p2351 (forall @t411 (=> @t3195 @t3152))) % 18.94/19.18 (assume @p2352 (forall @t411 (=> @t3231 @t3230))) % 18.94/19.18 (assume @p2353 (forall @t94 (=> @t3231 (=> @t92 (=> @t2040 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t3118) @t3119))))))) % 18.94/19.18 (assume @p2354 (forall @t94 (=> @t3231 (=> @t92 (=> @t2024 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t3119) @t3118))))))) % 18.94/19.18 (assume @p2355 (forall @t421 (=> @t3224 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3151) @t1939)) @t2045)))) % 18.94/19.18 (assume @p2356 (forall @t421 (=> @t3224 (= (tptp.hBOOL (tptp.hAPP @t2013 @t3151)) @t2047)))) % 18.94/19.18 (assume @p2357 (forall @t89 (=> @t3233 (=> @t1002 (=> @t2064 @t3232))))) % 18.94/19.18 (assume @p2358 (forall @t94 (=> @t3233 (=> @t1004 (=> @t2068 @t3232))))) % 18.94/19.18 (assume @p2359 (forall @t69 (=> @t3233 (=> @t3236 (=> @t3235 @t3234))))) % 18.94/19.18 (assume @p2360 (forall @t69 (=> @t3233 (=> @t3236 (=> @t3239 @t3238))))) % 18.94/19.18 (assume @p2361 (forall @t69 (=> @t3233 (=> @t2723 (=> @t3235 @t3238))))) % 18.94/19.18 (assume @p2362 (forall @t69 (=> @t3233 (=> @t2723 (=> @t3239 @t3234))))) % 18.94/19.18 (assume @p2363 (forall @t421 (=> @t3224 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t3151) @t1939)) (or (and @t2053 @t3241) (and @t2054 @t3240)))))) % 18.94/19.18 (assume @p2364 (forall @t421 (=> @t3224 (= (tptp.hBOOL (tptp.hAPP @t1953 @t3151)) (or (and @t2053 @t3240) (and @t2054 @t3241)))))) % 18.94/19.18 (assume @p2365 (forall @t936 (=> @t3243 (= @t3140 (and (=> @t3142 @t3137) @t3242))))) % 18.94/19.18 (assume @p2366 (forall @t3227 (=> @t3243 (= @t3145 (and (=> @t3142 @t3144) @t3242))))) % 18.94/19.18 (assume @p2367 (forall @t1683 (=> @t3195 (=> @t3148 (= (tptp.hAPP (tptp.hAPP @t3114 @t1633) @t1247) @t3125))))) % 18.94/19.18 (assume @p2368 (forall @t1683 (=> @t3195 (=> @t3148 (= (tptp.hAPP (tptp.hAPP @t3114 @t2038) @t2037) @t3125))))) % 18.94/19.18 (assume @p2369 (forall (@list @t1622 @t47 @t513 @t97 @t10) (=> @t3136 (=> @t2173 (=> (not @t3244) (= (= (tptp.hAPP (tptp.hAPP @t3135 @t47) @t97) (tptp.hAPP (tptp.hAPP @t3135 @t1622) @t513)) (= @t1624 @t1625))))))) % 18.94/19.18 (assume @p2370 (forall @t1005 (=> @t3233 (=> @t1981 @t3230)))) % 18.94/19.18 (assume @p2371 (forall @t69 (=> @t3233 (=> @t2119 (=> @t3239 @t3245))))) % 18.94/19.18 (assume @p2372 (forall @t69 (=> @t3233 (=> @t2119 (=> @t3235 @t3247))))) % 18.94/19.18 (assume @p2373 (forall @t3253 (=> @t3233 (=> @t2723 (=> @t67 (=> @t3252 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t2278) @t70)) @t3251))))))) % 18.94/19.18 (assume @p2374 (forall @t3253 (=> @t3233 (=> @t2119 (=> @t996 (=> @t3252 (=> @t3254 @t3251))))))) % 18.94/19.18 (assume @p2375 (forall @t3253 (=> @t3233 (=> @t2119 (=> @t67 (=> @t3252 (=> @t3254 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t3250) @t3249))))))))) % 18.94/19.18 (assume @p2376 (forall @t69 (=> @t3233 (=> @t3255 (=> @t3239 @t3247))))) % 18.94/19.18 (assume @p2377 (forall @t69 (=> @t3233 (=> @t3255 (=> @t3235 @t3245))))) % 18.94/19.18 (assume @p2378 (forall @t94 (=> @t3233 (=> @t1004 (=> @t2064 @t3259))))) % 18.94/19.18 (assume @p2379 (forall @t89 (=> @t3233 (=> @t1002 (=> @t2068 @t3259))))) % 18.94/19.18 (assume @p2380 (forall @t3146 (=> @t3020 (=> @t2077 (= @t3262 @t3260))))) % 18.94/19.18 (assume @p2381 (forall @t1691 (=> @t3020 (=> @t2077 (= @t3264 @t3263))))) % 18.94/19.18 (assume @p2382 (forall @t681 (=> @t3233 (=> @t3239 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3266) @t32)) (tptp.hBOOL (tptp.hAPP @t1012 @t3229))))))) % 18.94/19.18 (assume @p2383 (forall @t75 (=> @t3233 (=> @t3239 (=> (tptp.hBOOL (tptp.hAPP @t987 @t3266)) (tptp.hBOOL (tptp.hAPP @t3237 @t70))))))) % 18.94/19.18 (assume @p2384 (forall @t3146 (=> @t3020 (=> @t2079 (= @t3262 @t3263))))) % 18.94/19.18 (assume @p2385 (forall @t1691 (=> @t3020 (=> @t2079 (= @t3264 @t3260))))) % 18.94/19.18 (assume @p2386 (forall @t3227 (=> @t3224 (= @t3262 (and (=> @t2079 @t3263) (=> @t3221 (and (=> @t2077 @t3260) (=> @t3219 @t2053)))))))) % 18.94/19.18 (assume @p2387 (forall @t936 (=> @t3224 (= @t3264 (and (=> @t2079 @t3260) (=> @t3221 (and (=> @t2077 @t3263) (=> @t3219 @t2054)))))))) % 18.94/19.18 (assume @p2388 (forall @t681 (=> @t3195 (=> @t3270 (= (tptp.hAPP @t3269 @t3229) @t3268))))) % 18.94/19.18 (assume @p2389 (forall @t3274 (=> @t3175 (=> @t3273 (= (tptp.hAPP @t1712 @t3272) (tptp.hAPP (tptp.hAPP @t3114 (tptp.hAPP (tptp.hAPP @t1627 @t3271) @t64)) @t70)))))) % 18.94/19.18 (assume @p2390 (forall @t75 (=> @t3195 (=> @t3270 (= (tptp.hAPP @t3275 @t70) @t3268))))) % 18.94/19.18 (assume @p2391 (forall @t3274 (=> @t3175 (=> @t3273 (= (tptp.hAPP (tptp.hAPP @t1627 @t3250) @t64) (tptp.hAPP @t3267 @t70)))))) % 18.94/19.18 (assume @p2392 (forall @t3279 (=> @t3175 (=> @t3270 (=> @t3273 (= (tptp.hAPP @t3275 @t3278) (tptp.hAPP (tptp.hAPP @t3114 (tptp.hAPP (tptp.hAPP @t1627 @t1638) @t3277)) @t3276))))))) % 18.94/19.18 (assume @p2393 (forall @t3274 (=> @t3175 (=> @t3273 (= (tptp.hAPP @t920 @t3272) (tptp.hAPP (tptp.hAPP @t3114 (tptp.hAPP (tptp.hAPP @t877 @t3271) @t64)) @t70)))))) % 18.94/19.18 (assume @p2394 (forall @t3274 (=> @t3175 (=> @t3273 (= (tptp.hAPP (tptp.hAPP @t877 @t3250) @t64) (tptp.hAPP (tptp.hAPP @t3114 (tptp.hAPP @t920 @t3266)) @t70)))))) % 18.94/19.18 (assume @p2395 (forall @t3279 (=> @t3175 (=> @t3270 (=> @t3273 (= (tptp.hAPP (tptp.hAPP @t877 @t3229) @t3278) (tptp.hAPP (tptp.hAPP @t3114 (tptp.hAPP (tptp.hAPP @t877 @t1638) @t3277)) @t3276))))))) % 18.94/19.18 (assume @p2396 (forall @t411 (=> @t3233 (=> @t1004 (tptp.hBOOL (tptp.hAPP @t1003 @t3280)))))) % 18.94/19.18 (assume @p2397 (forall @t411 (=> @t3233 (=> @t1004 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3280) @t85)))))) % 18.94/19.18 (assume @p2398 (forall @t77 (=> @t3231 (=> @t3239 (= (tptp.hAPP (tptp.hAPP @t3114 @t2746) @t64) (tptp.hAPP @t2735 @t3229)))))) % 18.94/19.18 (assume @p2399 (forall @t94 (=> @t3231 (=> @t92 (=> @t2040 @t3281))))) % 18.94/19.18 (assume @p2400 (forall @t89 (=> @t3233 (=> @t88 (=> @t2024 @t3281))))) % 18.94/19.18 (assume @p2401 (forall @t3146 (=> @t3020 (=> @t2077 (= @t3226 @t3222))))) % 18.94/19.18 (assume @p2402 (forall @t1691 (=> @t3020 (=> @t2077 (= @t3223 @t3220))))) % 18.94/19.18 (assume @p2403 (forall @t681 (=> @t3233 (=> @t3239 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t3266) @t32)) (tptp.hBOOL (tptp.hAPP @t71 @t3229))))))) % 18.94/19.18 (assume @p2404 (forall @t75 (=> @t3233 (=> @t3239 (=> (tptp.hBOOL (tptp.hAPP @t35 @t3266)) (tptp.hBOOL (tptp.hAPP @t3246 @t70))))))) % 18.94/19.18 (assume @p2405 (forall @t146 (=> @t3104 (=> @t1292 (=> @t1335 (=> (forall @t7 (=> @t2432 (not @t2431))) (= (tptp.hAPP @t3023 @t458) (tptp.hAPP (tptp.hAPP @t3102 (tptp.hAPP (tptp.hAPP @t1466 @t3024) @t3282)) (tptp.hAPP @t3023 @t603))))))))) % 18.94/19.18 (assume @p2406 (forall @t658 (=> @t3200 (= @t3157 (tptp.c_Power_Opower_Opower @t10 @t1494 @t1212))))) % 18.94/19.18 (assume @p2407 (forall @t3285 (=> @t2095 (=> @t2237 (= (tptp.hAPP (tptp.hAPP @t3284 (tptp.hAPP @t3283 @t1537)) @t1791) (tptp.hAPP @t3283 (tptp.hAPP @t1780 @t2451))))))) % 18.94/19.18 (assume @p2408 (forall @t1435 (=> @t127 (=> @t3286 (=> @t1432 (=> @t1431 (= (tptp.hAPP @t1104 (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 @t1428)) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 @t1430)))))))) % 18.94/19.18 (assume @p2409 (forall @t3287 (= (tptp.hAPP (tptp.hAPP @t3284 @t2188) @t85) @t2188))) % 18.94/19.18 (assume @p2410 (forall @t3294 (= @t3293 @t3290))) % 18.94/19.18 (assume @p2411 (forall @t3294 (= (tptp.hAPP @t3289 @t3291) @t3295))) % 18.94/19.18 (assume @p2412 (forall @t424 (=> @t3297 (= (tptp.hAPP (tptp.hAPP @t3296 @t1955) @t81) @t1955)))) % 18.94/19.18 (assume @p2413 (forall @t424 (=> @t3297 (= (tptp.hAPP @t3298 @t1955) @t1955)))) % 18.94/19.18 (assume @p2414 (forall @t1830 (=> @t2670 (=> @t2669 (tptp.c_Nat__Transfer_Ois__nat @t3300))))) % 18.94/19.18 (assume @p2415 (forall @t424 (=> @t3297 (= (tptp.hAPP @t3298 @t1518) @t81)))) % 18.94/19.18 (assume @p2416 (forall @t1830 (=> @t2383 (=> @t2382 (tptp.hBOOL (tptp.hAPP @t2233 @t3300)))))) % 18.94/19.18 (assume @p2417 (forall @t3294 (=> @t3303 (=> @t3301 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3295) @t2188)))))) % 18.94/19.18 (assume @p2418 (forall @t3309 (=> @t3308 (= @t3306 (tptp.hBOOL (tptp.hAPP @t2192 @t219)))))) % 18.94/19.18 (assume @p2419 (forall @t3309 (=> @t3312 (= @t3306 (tptp.hBOOL (tptp.hAPP @t3310 @t2188)))))) % 18.94/19.18 (assume @p2420 (forall @t3315 (=> @t3314 (= (tptp.hAPP @t3292 @t81) @t2205)))) % 18.94/19.18 (assume @p2421 (forall @t1683 (=> @t3297 (and (=> @t3147 (= @t3317 @t1955)) @t3318)))) % 18.94/19.18 (assume @p2422 (forall @t1005 (=> @t3297 (=> @t1981 (= (tptp.hAPP @t3319 @t85) @t81))))) % 18.94/19.18 (assume @p2423 (forall @t1005 (=> @t3297 (=> @t1981 (= (tptp.hAPP (tptp.hAPP @t3296 @t1727) @t85) @t81))))) % 18.94/19.18 (assume @p2424 (forall @t1683 (=> @t3297 (=> @t3148 (= (tptp.hAPP (tptp.hAPP @t3296 @t1633) @t1247) @t3316))))) % 18.94/19.18 (assume @p2425 (forall @t1683 (=> @t3297 @t3318))) % 18.94/19.18 (assume @p2426 (forall @t424 (=> @t3297 (=> @t1983 (= (tptp.hAPP @t3298 @t81) @t1518))))) % 18.94/19.18 (assume @p2427 (forall (@list @t118 @t207) (= (= @t3321 @t2188) (or @t3320 (and (tptp.hBOOL (tptp.hAPP @t2233 @t207)) (tptp.hBOOL (tptp.hAPP @t2657 @t118))) (and @t2630 (tptp.hBOOL (tptp.hAPP @t2239 @t207))))))) % 18.94/19.18 (assume @p2428 (forall @t3309 (=> @t3312 (= @t3323 @t3322)))) % 18.94/19.18 (assume @p2429 (forall (@list @t207 @t118) (=> @t3324 (= (tptp.hBOOL (tptp.hAPP @t2192 @t3321)) (tptp.hBOOL (tptp.hAPP @t2774 @t207)))))) % 18.94/19.18 (assume @p2430 (forall @t3326 (=> @t3322 (= (tptp.hBOOL (tptp.hAPP @t2192 @t3305)) (and (tptp.hBOOL (tptp.hAPP @t3325 @t219)) @t3312))))) % 18.94/19.18 (assume @p2431 (forall @t3330 (=> @t3329 (=> @t2340 (=> @t2357 (tptp.hBOOL (tptp.hAPP @t3328 @t3327))))))) % 18.94/19.18 (assume @p2432 (forall @t3294 (=> @t3329 (=> @t3332 @t3331)))) % 18.94/19.18 (assume @p2433 (forall @t3294 (=> @t3329 (=> @t3334 @t3333)))) % 18.94/19.18 (assume @p2434 (forall @t3309 (=> @t3308 (= @t3323 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t219) @t2188)))))) % 18.94/19.18 (assume @p2435 (forall @t3294 (=> @t3336 (=> @t3301 @t3331)))) % 18.94/19.18 (assume @p2436 (forall @t3330 (=> @t3303 (=> @t2340 (=> @t2357 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t3327) @t3295))))))) % 18.94/19.18 (assume @p2437 (forall @t3294 (=> @t3336 (=> @t3337 @t3333)))) % 18.94/19.18 (assume @p2438 (forall @t3341 (=> @t3340 (=> @t3301 (tptp.hBOOL (tptp.hAPP @t3328 @t3339)))))) % 18.94/19.18 (assume @p2439 (forall @t3341 (=> @t3340 (=> @t3332 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t3339) @t3295)))))) % 18.94/19.18 (assume @p2440 (forall (@list @t1791 @t32) (=> (tptp.hBOOL (tptp.hAPP @t2192 @t32)) (=> (tptp.hBOOL (tptp.hAPP @t2667 @t1791)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP @t3299 @t1791)) @t32)))))) % 18.94/19.18 (assume @p2441 (forall @t3344 (=> @t3343 (= (tptp.hAPP @t3292 @t3342) (tptp.hAPP (tptp.hAPP @t3284 @t3295) @t82))))) % 18.94/19.18 (assume @p2442 (forall (@list @t219 @t3346 @t3345 @t10) (= (tptp.hAPP @t3347 @t1949) @t3345))) % 18.94/19.18 (assume @p2443 (forall (@list @t831 @t219 @t3346 @t3345 @t10) (= (tptp.hAPP @t3347 @t2478) (tptp.hAPP (tptp.hAPP @t3346 @t219) (tptp.hAPP @t3347 @t831))))) % 18.94/19.18 (assume @p2444 (forall @t89 (=> @t3297 (=> @t1981 (= (tptp.hAPP (tptp.hAPP @t3296 @t3349) @t85) @t3348))))) % 18.94/19.18 (assume @p2445 (forall @t89 (=> @t3297 (=> @t1981 (= (tptp.hAPP (tptp.hAPP @t3296 @t3350) @t85) @t3348))))) % 18.94/19.18 (assume @p2446 (forall @t1005 (=> @t3297 (=> @t1981 (= (tptp.hAPP (tptp.hAPP @t3296 @t1658) @t85) @t3351))))) % 18.94/19.18 (assume @p2447 (forall @t1005 (=> @t3297 (=> @t1981 (= (tptp.hAPP (tptp.hAPP @t3296 @t1629) @t85) @t3351))))) % 18.94/19.18 (assume @p2448 (forall (@list @t3355 @t64 @t3352 @t3353) (=> (= @t3353 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t3359 @t64)) @t3355)) (=> (and (=> @t3357 (and (tptp.hBOOL (tptp.hAPP @t2233 @t3355)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3355) @t3352)))) (=> @t3358 (and (tptp.hBOOL (tptp.hAPP @t3356 @t3355)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t3355) @t2188))))) (=> @t3354 (= (tptp.hAPP (tptp.hAPP @t3284 @t3353) @t3352) @t64)))))) % 18.94/19.18 (assume @p2449 (forall @t3366 (= (tptp.hBOOL @t3365) (and (=> @t3320 @t2218) (=> @t3324 (forall @t456 (=> (exists @t2519 @t3364) @t2714))) (=> @t3363 (forall @t456 (=> (exists @t2519 @t3361) @t2714))))))) % 18.94/19.18 (assume @p2450 (forall @t3373 (and (=> @t3370 (= @t3369 @t3372)) (=> @t3371 (= @t3369 (tptp.hAPP @t2184 (tptp.hAPP @t3368 @t3367))))))) % 18.94/19.18 (assume @p2451 (forall @t1435 (=> @t127 (=> @t3105 (=> @t1432 (=> @t1431 (= (tptp.hAPP @t1104 @t2916) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t1430)))))))) % 18.94/19.18 (assume @p2452 (forall @t1435 (=> @t127 (=> @t3286 (=> @t1432 (=> @t1431 (= (tptp.hAPP @t1104 @t2913) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t1430)))))))) % 18.94/19.18 (assume @p2453 (forall @t3040 (=> @t3039 (=> @t1088 (=> @t3038 (=> (forall @t7 (=> @t326 (= @t4 (tptp.hAPP @t1550 @t3)))) @t3037)))))) % 18.94/19.18 (assume @p2454 (forall @t1928 (= (tptp.hAPP @t3375 @t3378) (tptp.hAPP (tptp.hAPP @t3374 @t3376) @t82)))) % 18.94/19.18 (assume @p2455 (forall @t1846 (=> @t1854 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 (tptp.hAPP @t3380 @t1791)) (tptp.hAPP @t3379 @t1791)))))) % 18.94/19.18 (assume @p2456 (forall @t1852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t3381) @t1537)))) % 18.94/19.18 (assume @p2457 (forall @t1921 (= (tptp.hAPP @t3380 @t2451) @t1537))) % 18.94/19.18 (assume @p2458 (forall @t1852 @t3382)) % 18.94/19.18 (assume @p2459 (forall @t1900 (and (=> @t3385 (= @t3383 @t1949)) (=> (not @t3385) @t3384)))) % 18.94/19.18 (assume @p2460 (forall @t3294 (= (tptp.hAPP @t2182 @t3376) (tptp.hAPP (tptp.hAPP @t3284 @t3387) @t3386)))) % 18.94/19.18 (assume @p2461 (forall @t1830 (= (tptp.hAPP (tptp.hAPP @t3284 @t2368) @t2367) (tptp.hAPP @t2182 (tptp.hAPP (tptp.hAPP @t3374 @t32) @t64))))) % 18.94/19.18 (assume @p2462 (forall @t1846 (=> @t2095 (=> @t1854 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 (tptp.hAPP @t3388 @t1536)) (tptp.hAPP @t3388 @t1537))))))) % 18.94/19.18 (assume @p2463 (forall @t1900 (=> @t2101 @t3384))) % 18.94/19.18 (assume @p2464 (forall @t1813 (=> @t1992 (= (tptp.hAPP (tptp.hAPP @t3374 @t1861) @t1536) @t1537)))) % 18.94/19.18 (assume @p2465 (forall @t1813 (=> @t1992 (= (tptp.hAPP (tptp.hAPP @t3374 @t1860) @t1536) @t1537)))) % 18.94/19.18 (assume @p2466 (forall @t1813 (=> @t3390 (=> @t2095 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t3381) @t1537)))))) % 18.94/19.18 (assume @p2467 (forall @t1813 (=> @t1992 @t3393))) % 18.94/19.18 (assume @p2468 (forall @t1813 (=> @t1992 (and @t3382 @t3393)))) % 18.94/19.18 (assume @p2469 (forall @t3366 (= (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP (tptp.hAPP @t3374 @t831) @t118))) (and (=> @t1997 @t2128) (=> @t3397 (forall @t3396 (=> @t3395 (=> @t3394 @t2714)))))))) % 18.94/19.18 (assume @p2470 (forall @t1830 (=> @t2383 (= @t3399 @t3398)))) % 18.94/19.18 (assume @p2471 (forall @t1830 (=> @t2383 (=> @t2382 (= @t3398 @t3399))))) % 18.94/19.18 (assume @p2472 (forall @t1813 (=> @t1992 (=> @t1812 @t3392)))) % 18.94/19.18 (assume @p2473 (forall (@list @t831 @t561 @t56) (= (tptp.hBOOL (tptp.hAPP @t56 @t3402)) (or (and @t1987 @t2128) (exists @t3401 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 (tptp.hAPP @t2003 @t3400)) @t561)) (tptp.hBOOL (tptp.hAPP @t1755 (tptp.hAPP @t2003 (tptp.hAPP tptp.c_Nat_OSuc @t3400)))) (tptp.hBOOL (tptp.hAPP @t56 @t3400)))))))) % 18.94/19.18 (assume @p2474 (forall (@list @t561 @t3403 @t831) (=> @t1952 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 (tptp.hAPP @t2003 @t3403)) @t561)) (tptp.hBOOL (tptp.hAPP @t1755 (tptp.hAPP @t2003 (tptp.hAPP tptp.c_Nat_OSuc @t3403))))) (= @t3403 @t3402))))) % 18.94/19.18 (assume @p2475 (forall @t1830 (= (tptp.c_Nitpick_Onat__lcm @t32 @t64) (tptp.hAPP (tptp.hAPP @t3374 @t2366) @t3404)))) % 18.94/19.18 (assume @p2476 (forall @t2721 (=> @t1483 (=> @t1579 (=> @t2720 (=> @t3405 (= @t3096 @t3095))))))) % 18.94/19.18 (assume @p2477 (forall @t2721 (=> @t1483 (=> @t1579 (=> @t2720 (=> @t3405 (= @t3095 @t3096))))))) % 18.94/19.18 (assume @p2478 (forall (@list @t118 @t60 @t10) (=> (tptp.hBOOL (tptp.hAPP @t1317 @t60)) (=> (tptp.hBOOL (tptp.hAPP @t1291 @t268)) (=> (forall (@list @t3408) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t3408) @t60)) (= (tptp.hAPP @t2454 @t3408) @t118))) (=> (forall (@list @t3407) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t3407) @t60)) (forall (@list @t3406) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t3406) @t60)) (=> (not (= @t3407 @t3406)) (= (tptp.hAPP (tptp.hAPP @t601 @t3407) @t3406) @t749)))))) (= (tptp.hAPP @t1998 (tptp.hAPP @t3166 @t60)) (tptp.hAPP @t2454 @t268)))))))) % 18.94/19.18 (assume @p2479 (forall @t1830 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t32) @t64) (tptp.hAPP @t2182 (tptp.c_Nitpick_Onat__gcd @t2768 @t2766))))) % 18.94/19.18 (assume @p2480 (forall @t69 (=> @t3231 (=> (forall @t2861 (=> (tptp.hBOOL (tptp.hAPP @t2051 @t2859)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t2859) @t1518)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP @t1239 @t2859) @t32)) @t64))))) @t67)))) % 18.94/19.18 (assume @p2481 (forall @t2770 (=> @t2651 (=> @t24 (=> @t2676 (=> @t2769 (= @t3029 (tptp.hAPP (tptp.hAPP @t3021 @t1) @t22)))))))) % 18.94/19.18 (assume @p2482 (forall @t3412 (=> @t3363 (= @t3411 (forall @t3396 (=> @t3361 @t3409)))))) % 18.94/19.18 (assume @p2483 (forall @t3414 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t3106 @t3413) @t64) @t1537) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3113 @t1537)))) % 18.94/19.18 (assume @p2484 (forall @t1830 (=> @t2670 (=> @t2669 (tptp.c_Nat__Transfer_Ois__nat @t3415))))) % 18.94/19.18 (assume @p2485 (forall (@list @t1537 @t64 @t32) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2441 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t64 @t1537)) @t1537) @t3416))) % 18.94/19.18 (assume @p2486 (forall @t3414 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2211 @t3413) @t64) @t1537) @t3416))) % 18.94/19.18 (assume @p2487 (forall (@list @t1537 @t32) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2184 @t3413) @t1537) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2184 @t32) @t1537)))) % 18.94/19.18 (assume @p2488 (forall @t3294 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3288 @t3291) (tptp.hAPP @t2184 @t3417)))) % 18.94/19.18 (assume @p2489 (forall @t3294 (= @t3419 (tptp.hAPP @t2184 @t3418)))) % 18.94/19.18 (assume @p2490 (forall @t3425 (=> @t3297 (=> @t3424 (=> @t3422 (= @t3420 (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP (tptp.hAPP @t1627 @t3338) @t2339) @t82))))))) % 18.94/19.18 (assume @p2491 (forall @t1686 (=> @t3297 (= @t3427 @t3420)))) % 18.94/19.18 (assume @p2492 (forall @t94 (=> @t3297 (= @t3428 @t3420)))) % 18.94/19.18 (assume @p2493 (forall @t94 (=> @t3297 (= @t3420 (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP @t3426 @t3421) @t82))))) % 18.94/19.18 (assume @p2494 (forall @t94 (=> @t3297 (= @t3420 @t3427)))) % 18.94/19.18 (assume @p2495 (forall @t94 (=> @t3297 (= @t3420 @t3428)))) % 18.94/19.18 (assume @p2496 (forall @t1005 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t1658 @t85) @t3429)))) % 18.94/19.18 (assume @p2497 (forall @t411 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t1629 @t85) @t3429)))) % 18.94/19.18 (assume @p2498 (forall @t3425 (=> @t3297 (=> @t3424 (=> @t3422 (= @t3430 (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP (tptp.hAPP @t1239 @t3338) @t2339) @t82))))))) % 18.94/19.18 (assume @p2499 (forall @t1686 (=> @t3297 (= @t3432 @t3430)))) % 18.94/19.18 (assume @p2500 (forall @t1686 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t1633 @t1247) (tptp.hAPP (tptp.hAPP @t1239 @t3429) @t82))))) % 18.94/19.18 (assume @p2501 (forall @t1683 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t2038 @t2037) (tptp.hAPP @t2036 @t3429))))) % 18.94/19.18 (assume @p2502 (forall @t94 (=> @t3297 (= @t3430 (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP @t3431 @t3421) @t82))))) % 18.94/19.18 (assume @p2503 (forall @t94 (=> @t3297 (= @t3430 @t3432)))) % 18.94/19.18 (assume @p2504 (forall @t94 (=> @t3297 (= @t3430 (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP @t1240 @t3421) @t82))))) % 18.94/19.18 (assume @p2505 (forall @t94 (=> @t3434 (= @t3433 (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP @t880 @t3421) @t82))))) % 18.94/19.18 (assume @p2506 (forall @t94 (=> @t3434 (= @t3433 (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP @t3435 @t85) @t82))))) % 18.94/19.18 (assume @p2507 (forall @t94 (=> @t3434 (= @t3433 (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP @t3435 @t3421) @t82))))) % 18.94/19.18 (assume @p2508 (forall @t3425 (=> @t3434 (=> @t3424 (=> @t3422 (= @t3433 (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP (tptp.hAPP @t877 @t3338) @t2339) @t82))))))) % 18.94/19.18 (assume @p2509 (forall @t411 (=> @t3434 (= @t3436 (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP @t404 @t3429) @t85))))) % 18.94/19.18 (assume @p2510 (forall (@list @t3338 @t85 @t81 @t33) (=> @t3434 (=> (= @t3429 (tptp.c_Divides_Odiv__class_Omod @t33 @t3338 @t85)) (= @t3436 (tptp.c_Divides_Odiv__class_Omod @t33 (tptp.hAPP @t404 @t3338) @t85)))))) % 18.94/19.18 (assume @p2511 (forall @t3315 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t81) @t2188))) % 18.94/19.18 (assume @p2512 (forall @t3287 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2188 @t85) @t2188))) % 18.94/19.18 (assume @p2513 (forall @t424 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t81 @t81) @t1955)))) % 18.94/19.18 (assume @p2514 (forall @t424 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t81 @t1955) @t81)))) % 18.94/19.18 (assume @p2515 (forall @t424 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t1955 @t81) @t1955)))) % 18.94/19.18 (assume @p2516 (forall @t411 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t3429 @t85) @t3429)))) % 18.94/19.18 (assume @p2517 (forall @t1928 (= @t3441 @t3438))) % 18.94/19.18 (assume @p2518 (forall @t1928 (= @t3438 @t3441))) % 18.94/19.18 (assume @p2519 (forall @t1005 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t1727 @t85) @t1955)))) % 18.94/19.18 (assume @p2520 (forall @t411 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t1245 @t85) @t1955)))) % 18.94/19.18 (assume @p2521 (forall @t94 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t3350 @t85) @t3429)))) % 18.94/19.18 (assume @p2522 (forall @t1686 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t3349 @t85) @t3429)))) % 18.94/19.18 (assume @p2523 (forall @t424 (=> @t3297 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t81 @t1518) @t1955)))) % 18.94/19.18 (assume @p2524 (forall @t411 (=> @t3297 (= (tptp.hAPP (tptp.hAPP @t3296 @t3429) @t85) @t1955)))) % 18.94/19.18 (assume @p2525 (forall @t3285 (=> (tptp.hBOOL (tptp.hAPP @t2233 @t1537)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1537 @t1791)) @t1537))))) % 18.94/19.18 (assume @p2526 (forall @t1830 (=> @t2383 (=> @t2382 (tptp.hBOOL (tptp.hAPP @t2233 @t3415)))))) % 18.94/19.18 (assume @p2527 (forall @t3443 (=> @t3301 @t3442))) % 18.94/19.18 (assume @p2528 (forall @t3443 (=> @t3332 @t3444))) % 18.94/19.18 (assume @p2529 (forall @t3445 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t561 @t215) @t2188) (exists @t3401 (= @t561 (tptp.hAPP (tptp.hAPP @t2194 @t215) @t3400)))))) % 18.94/19.18 (assume @p2530 (forall @t3448 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2690 @t1868) @t2188)) @t3447))) % 18.94/19.18 (assume @p2531 (forall @t3448 (=> (not (= @t3449 @t2188)) @t3447))) % 18.94/19.18 (assume @p2532 (forall @t3294 (= (tptp.hAPP (tptp.hAPP @t3284 @t3417) @t85) @t2188))) % 18.94/19.18 (assume @p2533 (forall @t3315 (and (= (tptp.hAPP @t3292 @t2188) @t2188) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t2188) @t81)))) % 18.94/19.18 (assume @p2534 (forall @t1928 (= (tptp.hAPP (tptp.hAPP @t3284 @t3453) @t82) (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t3292 @t82)) @t3451)) (tptp.hAPP (tptp.hAPP @t3284 (tptp.hAPP (tptp.hAPP @t2201 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t82)) @t3439)) @t82))))) % 18.94/19.18 (assume @p2535 (forall @t411 (=> @t3297 (= (tptp.hAPP (tptp.hAPP @t1627 @t3429) @t3454) @t81)))) % 18.94/19.18 (assume @p2536 (forall @t1005 (=> @t3297 (= @t3455 @t81)))) % 18.94/19.18 (assume @p2537 (forall @t411 (=> @t3297 (= @t3456 @t81)))) % 18.94/19.18 (assume @p2538 (forall @t89 (=> @t3297 (= (tptp.hAPP (tptp.hAPP @t1627 @t3455) @t82) @t1660)))) % 18.94/19.18 (assume @p2539 (forall @t94 (=> @t3297 (= (tptp.hAPP (tptp.hAPP @t1627 @t3456) @t82) @t1660)))) % 18.94/19.18 (assume @p2540 (forall @t3294 (=> @t3336 (=> @t3337 @t3457)))) % 18.94/19.18 (assume @p2541 (forall @t3443 (=> @t3332 (and @t3458 @t3444)))) % 18.94/19.18 (assume @p2542 (forall @t3443 (=> @t3332 @t3458))) % 18.94/19.18 (assume @p2543 (forall @t3294 (=> @t3329 (=> @t3334 @t3457)))) % 18.94/19.18 (assume @p2544 (forall @t3443 (=> @t3301 (and @t3459 @t3442)))) % 18.94/19.18 (assume @p2545 (forall @t3443 (=> @t3301 @t3459))) % 18.94/19.18 (assume @p2546 (forall @t3294 (and (=> @t3460 (= @t3419 @t2188)) (=> @t3461 (= @t3419 (tptp.hAPP (tptp.hAPP @t2211 @t3417) @t85)))))) % 18.94/19.18 (assume @p2547 (forall @t3294 (and (=> @t3460 (= @t3418 @t2188)) (=> @t3461 (= @t3418 (tptp.hAPP @t3462 @t3417)))))) % 18.94/19.18 (assume @p2548 (forall @t3294 (= @t81 @t3463))) % 18.94/19.18 (assume @p2549 (forall @t1928 (= (tptp.hAPP (tptp.hAPP @t3284 @t3437) @t82) (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t2331 @t3451)) (tptp.hAPP (tptp.hAPP @t3284 @t3440) @t82))))) % 18.94/19.18 (assume @p2550 (forall (@list @t1791 @t81 @t85) (= (tptp.hAPP (tptp.hAPP @t2201 @t3463) @t1791) @t3464))) % 18.94/19.18 (assume @p2551 (forall (@list @t1791 @t85 @t81) (= (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP (tptp.hAPP @t2194 @t3295) @t85)) @t3417)) @t1791) @t3464))) % 18.94/19.18 (assume @p2552 (forall @t1813 (= (tptp.hAPP (tptp.hAPP @t2194 @t1536) @t3467) (tptp.hAPP @t3466 @t3465)))) % 18.94/19.18 (assume @p2553 (forall @t1852 (= @t3465 (tptp.hAPP @t3466 (tptp.hAPP (tptp.hAPP @t2194 @t3467) @t1536))))) % 18.94/19.18 (assume @p2554 (forall @t3294 (=> @t2334 (=> @t3468 (= @t3417 @t3453))))) % 18.94/19.18 (assume @p2555 (forall @t3366 (= (tptp.hBOOL (tptp.hAPP @t56 @t3410)) (and (=> @t3320 @t2509) (=> @t3324 (forall @t3396 (=> @t3364 @t3469))) (=> @t3363 (forall @t3396 (=> @t3361 @t3469))))))) % 18.94/19.18 (assume @p2556 (forall @t3471 (=> @t3343 (=> @t2337 (=> @t2351 (tptp.hBOOL (tptp.hAPP @t2233 @t3470))))))) % 18.94/19.18 (assume @p2557 (forall @t3471 (=> @t3343 (=> @t2337 (=> @t2351 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3470) @t3342))))))) % 18.94/19.18 (assume @p2558 (forall @t3472 (=> @t3343 (=> @t2361 (=> @t2362 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3342) @t3470))))))) % 18.94/19.18 (assume @p2559 (forall @t3472 (=> @t3343 (=> @t2361 (=> @t2362 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t3470) @t2188))))))) % 18.94/19.18 (assume @p2560 (forall (@list @t64 @t3473 @t3352 @t3353) (=> (= @t3353 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t3359 @t3473)) @t64)) (=> (and (=> @t3357 (and @t2382 (tptp.hBOOL (tptp.hAPP @t2315 @t3352)))) (=> @t3358 (and (tptp.hBOOL (tptp.hAPP @t3356 @t64)) (tptp.hBOOL (tptp.hAPP @t2439 @t2188))))) (=> @t3354 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3353 @t3352) @t64)))))) % 18.94/19.18 (assume @p2561 (forall @t3344 (=> @t3343 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t3342) (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t2352 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3295 @t82))) @t3417))))) % 18.94/19.18 (assume @p2562 (forall @t3443 (=> @t3476 (and (=> @t3460 (= @t3293 @t3474)) (=> @t3461 (= @t3293 @t3475)))))) % 18.94/19.18 (assume @p2563 (forall @t3443 (=> @t3476 (and (=> @t3460 (= @t3290 @t3474)) (=> @t3461 (= @t3290 @t3475)))))) % 18.94/19.18 (assume @p2564 (forall @t3412 (=> @t3324 (= @t3411 (forall @t3396 (=> @t3364 @t3409)))))) % 18.94/19.18 (assume @p2565 (forall @t3373 (and (=> @t3370 (= @t3477 @t3446)) (=> @t3371 (= @t3477 @t3449))))) % 18.94/19.18 (assume @p2566 (forall @t3033 (=> @t1580 (=> @t3031 @t3032)))) % 18.94/19.18 (assume @p2567 (forall @t3483 (=> @t1292 (=> @t3482 (= (tptp.hAPP @t3166 @t3479) @t2455))))) % 18.94/19.18 (assume @p2568 (forall @t1314 (=> @t2804 (exists @t2803 (tptp.c_Fun_Obij__betw @t10 tptp.tc_Nat_Onat @t2802 @t190 @t2857))))) % 18.94/19.18 (assume @p2569 (forall @t1852 (= @t3486 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3485 @t1536)))) % 18.94/19.18 (assume @p2570 (forall @t1852 @t3487)) % 18.94/19.18 (assume @p2571 (forall @t1846 (= (tptp.hAPP (tptp.hAPP @t1752 @t3484) @t1791) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1905 @t1858)))) % 18.94/19.18 (assume @p2572 (forall @t1900 (= (tptp.hAPP @t1902 @t3484) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1904 @t1903)))) % 18.94/19.18 (assume @p2573 (forall @t1852 (tptp.hBOOL (tptp.hAPP @t3488 @t1537)))) % 18.94/19.18 (assume @p2574 (forall @t3489 (= (tptp.hAPP (tptp.hAPP @t3478 @t749) @t124) @t753))) % 18.94/19.18 (assume @p2575 (forall @t3483 (= (= @t753 @t3479) @t754))) % 18.94/19.18 (assume @p2576 (forall @t3483 (= (= @t3479 @t753) @t754))) % 18.94/19.18 (assume @p2577 (forall @t1921 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1537 @t2451) @t1949))) % 18.94/19.18 (assume @p2578 (forall @t1852 (and (=> @t3490 (= @t3486 @t1949)) (=> (not @t3490) (= @t3486 @t3485))))) % 18.94/19.18 (assume @p2579 (forall @t1813 (=> @t1992 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t3484) @t1536))))) % 18.94/19.18 (assume @p2580 (forall @t3445 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t561 @t215) @t1949) (exists @t3401 (= @t561 (tptp.hAPP (tptp.hAPP @t1752 @t215) @t3400)))))) % 18.94/19.18 (assume @p2581 (forall @t1852 (and @t3487 @t3493))) % 18.94/19.18 (assume @p2582 (forall @t1852 @t3493)) % 18.94/19.18 (assume @p2583 (forall @t1929 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3494 @t1536) @t3484))) % 18.94/19.18 (assume @p2584 (forall @t1813 (=> @t1812 @t3492))) % 18.94/19.18 (assume @p2585 (forall @t1830 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2368 @t2367) (tptp.hAPP @t2182 @t3495)))) % 18.94/19.18 (assume @p2586 (forall @t3294 (= (tptp.hAPP @t2182 @t3496) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3387 @t3386)))) % 18.94/19.18 (assume @p2587 (forall @t1928 (= (tptp.hAPP (tptp.hAPP @t3374 @t3499) @t82) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t3375 @t82)) @t3498)) (tptp.hAPP (tptp.hAPP @t3374 (tptp.hAPP (tptp.hAPP @t1596 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t81 @t82)) @t3497)) @t82))))) % 18.94/19.18 (assume @p2588 (forall @t2444 (and (=> @t3500 (= @t3404 @t32)) (=> (not @t3500) (= @t3404 (tptp.c_Nitpick_Onat__gcd @t64 @t3495)))))) % 18.94/19.18 (assume @p2589 (forall @t1813 (=> @t1992 (tptp.hBOOL (tptp.hAPP @t3488 @t1536))))) % 18.94/19.18 (assume @p2590 (forall @t1929 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t3494) @t1536) @t3486))) % 18.94/19.18 (assume @p2591 (forall @t1928 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t81 @t3378) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t3377 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3376 @t82))) @t3496)))) % 18.94/19.18 (assume @p2592 (forall @t1928 (= (tptp.hAPP (tptp.hAPP @t3374 @t3502) @t82) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t3501 @t3498)) (tptp.hAPP (tptp.hAPP @t3374 (tptp.hAPP @t3501 @t3497)) @t82))))) % 18.94/19.18 (assume @p2593 (forall @t1852 (= @t3504 @t3503))) % 18.94/19.18 (assume @p2594 (forall @t1813 (= (tptp.hAPP @t1857 @t3381) @t3503))) % 18.94/19.18 (assume @p2595 (forall @t1852 (= @t3484 (tptp.hAPP @t1780 @t3504)))) % 18.94/19.18 (assume @p2596 (forall (@list @t219 @t23 @t124 @t10) (=> @t3482 (=> @t251 (= (tptp.hAPP (tptp.hAPP @t3478 @t853) @t124) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t109) @t3479) (tptp.hAPP (tptp.hAPP @t3478 @t848) @t124))))))) % 18.94/19.18 (assume @p2597 (forall @t3366 (= (tptp.hBOOL (tptp.hAPP @t56 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t831 @t118))) (and (=> @t1997 @t2509) (=> @t3397 (forall @t3396 (=> @t3395 (=> @t3394 @t3469)))))))) % 18.94/19.18 (assume @p2598 (forall @t3471 (=> @t3506 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t2082) @t85)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t3505) @t3378)))))) % 18.94/19.18 (assume @p2599 (forall (@list @t1537 @t1791) (=> (tptp.hBOOL (tptp.hAPP @t3389 @t1791)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1904) @t1791) @t1599)))) % 18.94/19.18 (assume @p2600 (forall @t1830 (=> @t2383 (=> @t2382 (= @t3508 @t3507))))) % 18.94/19.18 (assume @p2601 (forall @t1830 (=> @t2383 (=> @t2382 (= @t3507 @t3508))))) % 18.94/19.18 (assume @p2602 (forall @t3483 (= @t3479 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t109) @t23) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t109 @t109) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 @t2907 @t10) @t939) (tptp.hAPP (tptp.hAPP @t3510 @t3509) @t952))) @t753))))) % 18.94/19.18 (assume @p2603 (forall @t3513 (= @t3512 (tptp.hAPP (tptp.hAPP @t939 @t3511) @t753)))) % 18.94/19.18 (assume @p2604 (forall (@list @t124 @t23 @t47 @t10) (=> @t335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t3511) @t3479))))) % 18.94/19.18 (assume @p2605 (forall @t3514 (=> @t1483 (=> @t1580 (=> (forall @t7 (=> @t739 @t1576)) (= @t1574 @t1477)))))) % 18.94/19.18 (assume @p2606 (forall (@list @t22 @t124 @t10 @t38) (= (tptp.hAPP @t3515 @t22) (tptp.hAPP @t538 (tptp.hAPP (tptp.hAPP @t1164 @t3515) @t1163))))) % 18.94/19.18 (assume @p2607 (forall (@list @t22 @t23 @t150 @t124 @t38 @t10) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t3518) @t3517)))) % 18.94/19.18 (assume @p2608 (forall @t3524 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t3523) @t3522)))) % 18.94/19.18 (assume @p2609 (forall (@list @t22 @t23 @t150 @t124 @t10 @t38) (= (tptp.hAPP @t3515 @t305) (tptp.hAPP @t304 @t3516)))) % 18.94/19.18 (assume @p2610 (forall @t3525 (= (tptp.hAPP @t3519 @t758) @t749))) % 18.94/19.18 (assume @p2611 (forall (@list @t23 @t1118 @t124 @t3528 @t38 @t10) (=> @t3530 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t1118) @t23)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t38 @t3528) @t1118)) @t3527)))))) % 18.94/19.18 (assume @p2612 (forall (@list @t22 @t23 @t361 @t10 @t38) (= (tptp.hAPP @t3519 @t541) (tptp.hAPP @t3531 @t3520)))) % 18.94/19.18 (assume @p2613 (forall (@list @t23 @t348 @t361 @t10 @t38) (= (tptp.hAPP (tptp.c_Relation_OImage @t38 @t10 (tptp.hAPP (tptp.hAPP @t3534 @t361) @t348)) @t23) (tptp.hAPP @t3531 (tptp.hAPP (tptp.c_Relation_OImage @t38 @t10 @t348) @t23))))) % 18.94/19.18 (assume @p2614 (forall (@list @t124 @t23 @t271 @t10) (=> @t3535 (not (forall @t7 (=> (= @t271 (tptp.hAPP @t3509 @t1126)) @t755)))))) % 18.94/19.18 (assume @p2615 (forall (@list @t64 @t1536 @t32) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t32 @t1536) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t64 @t1536)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t64) @t32)) (exists @t3401 (= @t32 (tptp.hAPP @t1848 (tptp.hAPP @t1857 @t3400)))))))) % 18.94/19.18 (assume @p2616 (forall @t51 (=> @t1292 (=> (=> @t757 @t2598) @t2512)))) % 18.94/19.18 (assume @p2617 (forall (@list @t207 @t56 @t1504) (=> (forall @t456 (=> (tptp.hBOOL (tptp.hAPP @t2778 @t1504)) (=> @t2714 (tptp.hBOOL (tptp.hAPP @t56 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3536 @t1504)))))) (=> (tptp.hBOOL (tptp.hAPP @t56 @t207)) (=> (tptp.hBOOL (tptp.hAPP @t1927 @t1504)) @t2128))))) % 18.94/19.18 (assume @p2618 (forall (@list @t22 @t10 @t23) (=> (= @t23 @t3538) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 @t23) @t22))))) % 18.94/19.18 (assume @p2619 (forall (@list @t513 @t1104 @t1 @t23 @t10 @t38) (=> @t1471 (=> @t1292 (=> (forall @t7 (=> @t326 @t3539)) (= @t1470 (tptp.hAPP (tptp.hAPP @t1557 @t513) @t23))))))) % 18.94/19.18 (assume @p2620 (forall @t376 (=> @t127 (=> @t1292 (=> (forall @t199 (=> @t3540 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t195) @t47)))) (=> @t335 @t2942)))))) % 18.94/19.18 (assume @p2621 (forall @t376 (=> @t127 (=> @t1292 (=> (forall @t199 (=> @t3540 @t196)) (=> @t335 @t2938)))))) % 18.94/19.18 (assume @p2622 (forall @t3544 (=> (tptp.hBOOL (tptp.hAPP @t1951 @t3542)) (= @t3542 (tptp.hAPP tptp.c_Nat_OSuc @t3543))))) % 18.94/19.18 (assume @p2623 (forall @t3554 (=> @t3553 (and (=> @t3549 @t3552) (=> (not @t3549) @t3546))))) % 18.94/19.18 (assume @p2624 (forall @t2691 (=> @t3553 (= @t3555 @t2688)))) % 18.94/19.18 (assume @p2625 (forall @t107 (=> @t3561 (= @t3559 @t98)))) % 18.94/19.18 (assume @p2626 (forall (@list @t47 @t1622 @t10) (=> @t3563 (= (= @t3562 @t47) (= @t47 @t3562))))) % 18.94/19.18 (assume @p2627 (forall @t3554 (=> @t3553 (= (tptp.hAPP @t2687 @t3548) @t3551)))) % 18.94/19.18 (assume @p2628 (forall @t3554 (=> @t3553 (and (=> @t3564 @t3546) (=> @t3565 @t3552))))) % 18.94/19.18 (assume @p2629 (forall @t3568 (=> (and @t3563 @t127) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3566) @t3562)) (not (tptp.hBOOL (tptp.hAPP @t3567 @t3566))))))) % 18.94/19.18 (assume @p2630 (forall @t3573 (=> @t3572 (= (tptp.hAPP (tptp.hAPP @t1212 (tptp.hAPP (tptp.hAPP @t1594 @t81) @t85)) @t3569) (tptp.hAPP (tptp.hAPP @t1594 @t3571) @t3570))))) % 18.94/19.18 (assume @p2631 (forall @t3577 (=> @t3572 (= (tptp.hAPP @t3574 (tptp.hAPP (tptp.hAPP @t1594 @t85) @t82)) (tptp.hAPP (tptp.hAPP @t1594 @t3576) @t3575))))) % 18.94/19.18 (assume @p2632 (forall @t3577 (=> @t3578 (= (tptp.hAPP @t3574 (tptp.hAPP (tptp.hAPP @t865 @t85) @t82)) (tptp.hAPP (tptp.hAPP @t865 @t3576) @t3575))))) % 18.94/19.18 (assume @p2633 (forall @t3573 (=> @t3578 (= (tptp.hAPP (tptp.hAPP @t1212 (tptp.hAPP (tptp.hAPP @t865 @t81) @t85)) @t3569) (tptp.hAPP (tptp.hAPP @t865 @t3571) @t3570))))) % 18.94/19.18 (assume @p2634 (forall @t107 (=> @t3580 (= (tptp.hBOOL (tptp.hAPP @t3579 @t3557)) @t2641)))) % 18.94/19.18 (assume @p2635 (forall @t107 (=> @t3580 (= (tptp.hBOOL (tptp.hAPP @t3581 @t3557)) @t2654)))) % 18.94/19.18 (assume @p2636 (forall @t3587 (=> @t3586 (and (=> @t3584 (= @t3583 @t3582)) (=> @t3585 (= @t3583 @t3569)))))) % 18.94/19.18 (assume @p2637 (forall @t3587 (=> @t3586 (and (=> @t3584 (= @t3588 @t3569)) (=> @t3585 (= @t3588 @t3582)))))) % 18.94/19.18 (assume @p2638 (forall @t3595 (=> @t3553 (= @t3594 @t3591)))) % 18.94/19.18 (assume @p2639 (forall @t3595 (=> @t3553 (= @t3591 @t3594)))) % 18.94/19.18 (assume @p2640 (forall @t3596 (=> @t3553 (= (tptp.hAPP @t3590 (tptp.hAPP (tptp.hAPP @t1627 @t3589) @t70)) (tptp.hAPP (tptp.hAPP @t1627 @t3594) @t70))))) % 18.94/19.18 (assume @p2641 (forall @t3595 (=> @t3553 (= @t3601 @t3598)))) % 18.94/19.18 (assume @p2642 (forall @t3595 (=> @t3553 (= @t3598 @t3601)))) % 18.94/19.18 (assume @p2643 (forall @t3596 (=> @t3553 (= (tptp.hAPP @t3597 (tptp.hAPP (tptp.hAPP @t1239 @t3589) @t70)) (tptp.hAPP (tptp.hAPP @t1239 @t3601) @t70))))) % 18.94/19.18 (assume @p2644 (forall @t3595 (=> @t3553 (= (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP @t2211 @t2151) @t2278)) @t3603)))) % 18.94/19.18 (assume @p2645 (forall @t3606 (=> @t3553 (= @t3605 @t3604)))) % 18.94/19.18 (assume @p2646 (forall @t3606 (=> @t3553 (= @t3604 @t3605)))) % 18.94/19.18 (assume @p2647 (forall @t3608 (=> @t3560 (tptp.hBOOL (tptp.hAPP @t3607 @t2446))))) % 18.94/19.18 (assume @p2648 (forall @t3615 (=> @t3614 (= (= @t3613 @t219) (and (=> @t3612 (= @t216 @t3611)) @t3610))))) % 18.94/19.18 (assume @p2649 (forall @t3618 (=> @t3614 (= (= @t3139 @t3562) (and (=> @t3142 (= @t216 @t3617)) @t3616))))) % 18.94/19.18 (assume @p2650 (forall @t3619 (=> @t3614 (= (= @t3562 @t3139) (and (=> @t3142 (= @t3617 @t216)) @t3616))))) % 18.94/19.18 (assume @p2651 (forall @t3620 (=> @t3614 (= (= @t219 @t3613) (and (=> @t3612 (= @t3611 @t216)) @t3610))))) % 18.94/19.18 (assume @p2652 (forall (@list @t82 @t2278 @t2151 @t33) (=> @t3553 (= (tptp.hAPP @t3590 (tptp.hAPP (tptp.hAPP @t877 @t3589) @t82)) (tptp.hAPP (tptp.hAPP @t877 @t3594) @t82))))) % 18.94/19.18 (assume @p2653 (forall @t2710 (=> @t3553 (= (tptp.hAPP (tptp.hAPP @t1239 @t3604) @t70) (tptp.hAPP (tptp.hAPP @t1239 @t3605) @t70))))) % 18.94/19.18 (assume @p2654 (forall @t3595 (=> @t3553 (= @t3603 @t3622)))) % 18.94/19.18 (assume @p2655 (forall @t3615 (=> @t3629 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t967 @t3613) @t219)) (and (=> @t3626 @t3628) (=> @t3627 (and (=> @t3623 @t3625) (=> @t3624 @t2053)))))))) % 18.94/19.18 (assume @p2656 (forall @t3618 (=> @t3629 (= (tptp.hBOOL (tptp.hAPP @t3261 @t3562)) (and (=> @t2079 @t3631) (=> @t3221 (and (=> @t2077 @t3630) (=> @t3219 @t3626)))))))) % 18.94/19.18 (assume @p2657 (forall @t3619 (=> @t3629 (= (tptp.hBOOL (tptp.hAPP @t3567 @t3139)) (and (=> @t2079 @t3630) (=> @t3221 (and (=> @t2077 @t3631) (=> @t3219 @t3623)))))))) % 18.94/19.18 (assume @p2658 (forall @t3620 (=> @t3629 (= (tptp.hBOOL (tptp.hAPP @t1035 @t3613)) (and (=> @t3626 @t3625) (=> @t3627 (and (=> @t3623 @t3628) (=> @t3624 @t2054)))))))) % 18.94/19.18 (assume @p2659 (forall @t37 (=> @t3635 (and (=> @t3634 (= @t3633 (tptp.hAPP @t404 @t3632))) (=> (not @t3634) (= @t3633 @t3632)))))) % 18.94/19.18 (assume @p2660 (forall (@list @t2278 @t82 @t2151 @t33) (=> @t3553 (= (tptp.hAPP @t3590 (tptp.hAPP (tptp.hAPP @t877 @t82) @t3589)) (tptp.hAPP (tptp.hAPP @t1627 @t3622) @t82))))) % 18.94/19.18 (assume @p2661 (forall @t3615 (=> @t3629 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3613) @t219)) (and (=> @t3626 @t3637) (=> @t3627 (and (=> @t3623 @t3636) (=> @t3624 @t2014)))))))) % 18.94/19.18 (assume @p2662 (forall @t3618 (=> @t3629 (= (tptp.hBOOL (tptp.hAPP @t3225 @t3562)) (and (=> @t2079 @t3639) (=> @t3221 (and (=> @t2077 @t3638) (=> @t3219 (tptp.hBOOL (tptp.hAPP @t2013 @t3562)))))))))) % 18.94/19.18 (assume @p2663 (forall @t3619 (=> @t3629 (= (tptp.hBOOL (tptp.hAPP @t3640 @t3139)) (and (=> @t2079 @t3638) (=> @t3221 (and (=> @t2077 @t3639) (=> @t3219 (tptp.hBOOL (tptp.hAPP @t3640 @t1939)))))))))) % 18.94/19.18 (assume @p2664 (forall @t3620 (=> @t3629 (= (tptp.hBOOL (tptp.hAPP @t232 @t3613)) (and (=> @t3626 @t3636) (=> @t3627 (and (=> @t3623 @t3637) (=> @t3624 @t2015)))))))) % 18.94/19.18 (assume @p2665 (forall @t3647 (and (=> @t3645 (= @t3644 @t2451)) (=> @t3646 (= @t3644 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2205 @t3642))))))) % 18.94/19.18 (assume @p2666 (forall @t3647 (= (tptp.hAPP (tptp.hAPP @t3374 @t2451) @t3643) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3648 @t3642))))) % 18.94/19.18 (assume @p2667 (forall (@list @t1234 @t1622 @t10) (=> @t3560 (and (=> @t3654 (= @t3652 (tptp.hAPP @t3661 (tptp.hAPP (tptp.hAPP @t3658 (tptp.hAPP @t3657 (tptp.hAPP @t1212 @t3566))) @t744)))) (=> @t3655 (= @t3652 @t1494)))))) % 18.94/19.18 (assume @p2668 (forall @t3667 (and (=> @t3564 (= @t3665 (tptp.hAPP @t3666 @t3662))) (=> @t3565 (= @t3665 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3663 @t3662))))))) % 18.94/19.18 (assume @p2669 (forall @t2241 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t3670) @t3669)) @t3668))) % 18.94/19.18 (assume @p2670 (forall @t2238 (= (tptp.hAPP @t3547 @t1791) @t1791))) % 18.94/19.18 (assume @p2671 (forall @t2241 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3670) @t3669)) @t2240))) % 18.94/19.18 (assume @p2672 (forall @t3667 (= (tptp.hAPP (tptp.hAPP @t2194 @t3548) @t3671) (tptp.hAPP @t3547 @t3600)))) % 18.94/19.18 (assume @p2673 (forall @t3667 (= (tptp.hAPP @t3672 @t3671) (tptp.hAPP @t3547 @t3593)))) % 18.94/19.18 (assume @p2674 (forall @t2324 (= @t3673 (tptp.hAPP @t3547 @t2295)))) % 18.94/19.18 (assume @p2675 (forall @t3675 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t3547 @t3649))) @t3674))) % 18.94/19.18 (assume @p2676 (forall @t2241 (= (= @t3678 @t3677) @t3676))) % 18.94/19.18 (assume @p2677 (forall @t2241 (= (tptp.hBOOL (tptp.hAPP @t3679 @t3677)) @t2240))) % 18.94/19.18 (assume @p2678 (forall @t3686 (= (tptp.hBOOL (tptp.hAPP @t3685 @t3683)) @t3682))) % 18.94/19.18 (assume @p2679 (forall @t3686 (= (tptp.hBOOL (tptp.hAPP @t3688 @t3683)) @t3687))) % 18.94/19.18 (assume @p2680 (forall @t2241 (= (tptp.hBOOL (tptp.hAPP @t3689 @t3677)) @t3668))) % 18.94/19.18 (assume @p2681 (forall @t2324 (= @t3671 (tptp.hAPP @t2705 @t2278)))) % 18.94/19.18 (assume @p2682 (forall @t3675 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3649) @t2188)) @t3690))) % 18.94/19.18 (assume @p2683 (forall @t2238 (= @t3691 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t2260 @t1791)) @t1791)))) % 18.94/19.18 (assume @p2684 (forall @t2324 (= (tptp.hAPP tptp.c_Int_Onat @t3671) @t3662))) % 18.94/19.18 (assume @p2685 (forall @t3544 (= @t3542 (tptp.hAPP tptp.c_Int_Onat @t3548)))) % 18.94/19.18 (assume @p2686 (forall @t3675 (and (=> @t3674 (= @t3650 @t1949)) (=> (not @t3674) (= @t3650 (tptp.hAPP @t3693 (tptp.hAPP @t3042 @t3692))))))) % 18.94/19.18 (assume @p2687 (forall @t3606 (=> @t3553 (= @t3695 (tptp.hAPP (tptp.hAPP @t1627 @t3694) @t3589))))) % 18.94/19.18 (assume @p2688 (forall @t2704 (=> @t3560 (and (=> @t3654 (= @t3697 (tptp.hAPP @t3698 (tptp.hAPP (tptp.hAPP @t3658 (tptp.hAPP @t3657 @t1277)) @t744)))) (=> @t3655 (= @t3697 @t1494)))))) % 18.94/19.18 (assume @p2689 (forall @t2248 (and (=> @t3654 (= @t3700 (tptp.hAPP @t3705 (tptp.hAPP (tptp.hAPP @t3704 (tptp.hAPP (tptp.hAPP @t3703 @t2194) (tptp.hAPP @t2194 @t513))) @t3701)))) (=> @t3655 (= @t3700 @t2205))))) % 18.94/19.18 (assume @p2690 (forall @t3667 (= (tptp.hAPP (tptp.hAPP @t2211 @t3548) @t3671) (tptp.hAPP @t3547 @t3621)))) % 18.94/19.18 (assume @p2691 (forall @t3544 (=> @t3564 @t3706))) % 18.94/19.18 (assume @p2692 (forall (@list @t1234 @t561) (= (= @t2183 @t3707) (and (= @t561 (tptp.hAPP tptp.c_Int_Onat @t3707)) (tptp.hBOOL (tptp.hAPP @t2233 @t3707)))))) % 18.94/19.18 (assume @p2693 (forall @t3714 (= (= @t3713 @t3712) (and (=> @t3711 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t3709) @t2188))) (=> (not @t3711) (and (=> @t3710 (= @t3707 @t2188)) (=> (not @t3710) (= @t1234 @t3708)))))))) % 18.94/19.18 (assume @p2694 (forall @t3719 (and (=> @t3564 (= @t3718 @t3716)) (=> @t3565 (and (=> @t3645 (= @t3718 (tptp.hAPP @t3717 @t1791))) (=> @t3646 (= @t3718 (tptp.hAPP (tptp.hAPP @t1596 @t3715) @t1791)))))))) % 18.94/19.18 (assume @p2695 (forall @t3544 (and (=> @t3564 (= @t3720 @t2188)) (=> @t3565 (= @t3720 @t3548))))) % 18.94/19.18 (assume @p2696 (forall @t3722 (and (=> @t3564 (= @t3721 @t1949)) (=> @t3565 (and (=> @t3645 (= @t3721 @t3542)) (=> @t3646 (= @t3721 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3548 @t3642))))))))) % 18.94/19.18 (assume @p2697 (forall @t3722 (and (=> @t3564 (= @t3724 @t1949)) (=> @t3565 (= @t3724 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3723 @t3642))))))) % 18.94/19.18 (assume @p2698 (forall @t3726 (and (=> @t3564 (= @t3725 (tptp.hAPP @t3666 @t1536))) (=> @t3565 (= @t3725 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3663 @t1536))))))) % 18.94/19.18 (assume @p2699 (forall @t3726 (and (=> @t3564 (= @t3728 @t2530)) (=> @t3565 (= @t3728 (tptp.hAPP (tptp.hAPP @t1596 @t3727) @t1536)))))) % 18.94/19.18 (assume @p2700 (forall (@list @t1234 @t3708) (and (=> @t3730 (= @t3729 @t3713)) (=> (not @t3730) (= @t3729 (tptp.hAPP (tptp.hAPP @t2921 (tptp.hAPP @t3547 (tptp.hAPP (tptp.hAPP @t2201 @t1234) (tptp.hAPP @t2184 @t3708)))) @t2920)))))) % 18.94/19.18 (assume @p2701 (forall @t3737 (= (tptp.hAPP (tptp.hAPP @t2994 @t3713) @t2478) (tptp.hAPP @t3736 (tptp.hAPP @t2919 (tptp.hAPP @t3734 (tptp.hAPP (tptp.hAPP @t3732 (tptp.hAPP (tptp.hAPP @t3731 @t2994) tptp.c_Int_Onat)) @t831))))))) % 18.94/19.18 (assume @p2702 (forall @t3738 (= (tptp.hAPP @t3056 @t3713) (tptp.hAPP @t3736 (tptp.hAPP @t2919 (tptp.hAPP @t3734 (tptp.hAPP (tptp.hAPP @t3733 @t3055) tptp.c_Int_Onat))))))) % 18.94/19.18 (assume @p2703 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t3739)) % 18.94/19.18 (assume @p2704 (forall @t3741 (not (= tptp.c_Int_OPls @t3740)))) % 18.94/19.18 (assume @p2705 (forall @t2238 (not (= @t3691 tptp.c_Int_OPls)))) % 18.94/19.18 (assume @p2706 (tptp.hBOOL (tptp.hAPP @t3742 tptp.c_Int_OPls))) % 18.94/19.18 (assume @p2707 (forall @t2238 (= (tptp.hAPP @t3743 tptp.c_Int_OPls) @t1791))) % 18.94/19.18 (assume @p2708 (= @t3744 tptp.c_Int_OPls)) % 18.94/19.18 (assume @p2709 (forall @t2700 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t32)) @t32))) % 18.94/19.18 (assume @p2710 (not (tptp.hBOOL (tptp.hAPP @t3745 tptp.c_Int_OPls)))) % 18.94/19.18 (assume @p2711 (= tptp.c_Int_OPls @t2188)) % 18.94/19.18 (assume @p2712 (forall @t2324 (= (tptp.hAPP (tptp.hAPP @t2194 tptp.c_Int_OPls) @t2278) tptp.c_Int_OPls))) % 18.94/19.18 (assume @p2713 (forall @t2238 (= (tptp.hAPP @t3746 @t1791) @t1791))) % 18.94/19.18 (assume @p2714 (forall @t2238 (= (tptp.hAPP @t2301 tptp.c_Int_OPls) @t1791))) % 18.94/19.18 (assume @p2715 (forall @t819 (=> @t3553 (= @t3747 @t1955)))) % 18.94/19.18 (assume @p2716 (forall @t819 (=> @t3553 (= @t1955 @t3747)))) % 18.94/19.18 (assume @p2717 (forall @t424 (=> @t3553 (= (tptp.hAPP @t1628 @t3747) @t81)))) % 18.94/19.18 (assume @p2718 (forall @t424 (=> @t3553 (= (tptp.hAPP (tptp.hAPP @t1627 @t3747) @t81) @t81)))) % 18.94/19.18 (assume @p2719 (not (tptp.hBOOL (tptp.hAPP @t3745 @t2188)))) % 18.94/19.18 (assume @p2720 (= @t3748 @t1949)) % 18.94/19.18 (assume @p2721 (= @t1949 @t3748)) % 18.94/19.18 (assume @p2722 (= @t2188 @t3749)) % 18.94/19.18 (assume @p2723 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3742 @t3678)) @t3750))) % 18.94/19.18 (assume @p2724 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3679 tptp.c_Int_OPls)) @t3751))) % 18.94/19.18 (assume @p2725 (forall (@list @t1537 @t2151) (=> (tptp.hBOOL (tptp.hAPP @t3745 @t2151)) (= (tptp.hAPP @t2498 @t3542) (tptp.hAPP @t1780 @t3752))))) % 18.94/19.18 (assume @p2726 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3749)))) % 18.94/19.18 (assume @p2727 (forall @t3544 (and (=> @t3754 (= @t3753 @t1599)) (=> @t3755 (= @t3753 @t3727))))) % 18.94/19.18 (assume @p2728 (forall @t3544 (and (=> @t3754 (= @t3756 @t1599)) (=> @t3755 (= @t3756 @t3727))))) % 18.94/19.18 (assume @p2729 (forall @t2241 (= @t3668 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 (tptp.c_Int_Opred @t118)) @t395))))) % 18.94/19.18 (assume @p2730 (forall @t2238 (= (tptp.hAPP @t2184 @t3691) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t2690))))) % 18.94/19.18 (assume @p2731 (forall @t2238 (= @t3757 (tptp.hAPP @t3743 @t2205)))) % 18.94/19.18 (assume @p2732 (forall @t3544 (and (=> @t3758 (= @t3543 @t1949)) (=> (not @t3758) (= @t3543 @t3752))))) % 18.94/19.18 (assume @p2733 (forall @t424 (=> @t3553 (= (tptp.hAPP (tptp.hAPP @t1239 @t3759) @t81) @t81)))) % 18.94/19.18 (assume @p2734 (forall @t424 (=> @t3553 (= (tptp.hAPP @t1240 @t3759) @t81)))) % 18.94/19.18 (assume @p2735 (forall @t37 (=> @t3760 (= (tptp.hAPP @t3228 @t3747) @t1955)))) % 18.94/19.18 (assume @p2736 (forall @t819 (=> @t3553 (= @t3759 @t1518)))) % 18.94/19.18 (assume @p2737 (forall @t819 (=> @t3553 (= @t1518 @t3759)))) % 18.94/19.18 (assume @p2738 (forall @t3763 (= (= @t1949 @t3713) @t3762))) % 18.94/19.18 (assume @p2739 (forall @t3763 (= @t3764 @t3762))) % 18.94/19.18 (assume @p2740 (tptp.hBOOL (tptp.hAPP @t2233 @t3749))) % 18.94/19.18 (assume @p2741 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3745 @t3678)) @t3750))) % 18.94/19.18 (assume @p2742 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3689 tptp.c_Int_OPls)) @t3751))) % 18.94/19.18 (assume @p2743 (forall @t3714 (= (tptp.hBOOL (tptp.hAPP @t3766 @t3712)) (and (=> @t3765 (tptp.hBOOL (tptp.hAPP @t3745 @t3708))) @t3765)))) % 18.94/19.18 (assume @p2744 (forall @t37 (=> @t3767 (= (tptp.hAPP @t3228 @t3759) @t32)))) % 18.94/19.18 (assume @p2745 (forall @t424 (=> @t3767 (= (tptp.hAPP @t3115 @t3759) @t81)))) % 18.94/19.18 (assume @p2746 (forall @t3714 (= (tptp.hBOOL (tptp.hAPP @t3768 @t3712)) (=> (not (tptp.hBOOL (tptp.hAPP @t3761 @t3708))) @t3762)))) % 18.94/19.18 (assume @p2747 (= @t2205 (tptp.hAPP @t3547 @t3739))) % 18.94/19.18 (assume @p2748 (= @t3769 @t1599)) % 18.94/19.18 (assume @p2749 (= @t1599 @t3769)) % 18.94/19.18 (assume @p2750 (tptp.c_Nat__Transfer_Ois__nat @t3771)) % 18.94/19.18 (assume @p2751 (forall @t2238 (= @t3772 (tptp.hAPP @t2301 @t2205)))) % 18.94/19.18 (assume @p2752 (forall @t597 (=> @t3580 (= (tptp.hBOOL (tptp.hAPP @t3579 @t1939)) (tptp.hBOOL (tptp.hAPP @t2640 tptp.c_Int_OPls)))))) % 18.94/19.18 (assume @p2753 (forall @t3773 (=> @t3580 (= (tptp.hBOOL (tptp.hAPP @t2013 @t3557)) (tptp.hBOOL (tptp.hAPP @t3742 @t97)))))) % 18.94/19.18 (assume @p2754 (forall @t3773 (=> @t3580 (= (tptp.hBOOL (tptp.hAPP @t1953 @t3557)) (tptp.hBOOL (tptp.hAPP @t3745 @t97)))))) % 18.94/19.18 (assume @p2755 (forall @t597 (=> @t3580 (= (tptp.hBOOL (tptp.hAPP @t3581 @t1939)) (tptp.hBOOL (tptp.hAPP @t2653 tptp.c_Int_OPls)))))) % 18.94/19.18 (assume @p2756 (forall @t3763 (= (tptp.hBOOL (tptp.hAPP @t1951 @t3713)) (tptp.hBOOL (tptp.hAPP @t3745 @t1234))))) % 18.94/19.18 (assume @p2757 (= @t3774 (tptp.hAPP tptp.c_Nat_OSuc @t2452))) % 18.94/19.18 (assume @p2758 (= @t3769 @t2451)) % 18.94/19.18 (assume @p2759 (forall @t424 (=> @t1520 (= (tptp.hAPP @t3169 @t3774) (tptp.hAPP (tptp.hAPP @t1239 @t1241) @t81))))) % 18.94/19.18 (assume @p2760 (tptp.hBOOL (tptp.hAPP @t2233 @t3771))) % 18.94/19.18 (assume @p2761 (forall @t1821 (= @t3778 @t3776))) % 18.94/19.18 (assume @p2762 (forall @t3722 (and (=> @t3754 (= @t3779 @t3643)) (=> @t3755 (and (=> @t3780 (= @t3779 @t3542)) (=> (not @t3780) (= @t3779 @t3715))))))) % 18.94/19.18 (assume @p2763 (= @t3771 (tptp.hAPP @t2182 @t3774))) % 18.94/19.18 (assume @p2764 (= @t3774 (tptp.hAPP tptp.c_Int_Onat @t3771))) % 18.94/19.18 (assume @p2765 (forall @t2691 (=> @t3553 (= (tptp.hAPP @t3550 @t3772) (tptp.hAPP @t1708 @t3555))))) % 18.94/19.18 (assume @p2766 (forall @t3606 (=> @t3553 (= (tptp.hAPP @t3550 (tptp.c_Int_Opred @t2278)) (tptp.hAPP (tptp.hAPP @t1627 @t1570) @t3589))))) % 18.94/19.18 (assume @p2767 (forall @t597 (=> @t3580 (= (tptp.hBOOL (tptp.hAPP @t3579 @t1494)) (tptp.hBOOL (tptp.hAPP @t2640 @t3739)))))) % 18.94/19.18 (assume @p2768 (forall @t3773 (=> @t3580 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1494) @t3557)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t3739) @t97)))))) % 18.94/19.18 (assume @p2769 (forall @t597 (=> @t3580 (= (tptp.hBOOL (tptp.hAPP @t3581 @t1494)) (tptp.hBOOL (tptp.hAPP @t2653 @t3739)))))) % 18.94/19.18 (assume @p2770 (forall @t3773 (=> @t3580 (= (tptp.hBOOL (tptp.hAPP @t3181 @t3557)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3739) @t97)))))) % 18.94/19.18 (assume @p2771 (forall @t3554 (=> @t3553 (= (tptp.hAPP @t3590 @t1518) (tptp.hAPP @t3550 (tptp.hAPP @t3592 @t3739)))))) % 18.94/19.18 (assume @p2772 (forall @t3606 (=> @t3553 (= @t3694 (tptp.hAPP @t3550 (tptp.hAPP @t3781 @t2278)))))) % 18.94/19.18 (assume @p2773 (forall @t1813 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t3748) @t1536)) (= @t2499 (tptp.hAPP @t1780 (tptp.hAPP @t1906 @t3769)))))) % 18.94/19.18 (assume @p2774 (forall @t3719 (and (=> @t3754 (= @t3784 @t1949)) (=> @t3755 (= @t3784 (tptp.hAPP (tptp.hAPP @t1752 @t3782) @t1791)))))) % 18.94/19.18 (assume @p2775 (forall @t3722 (and (=> @t3754 (= @t3785 @t1949)) (=> @t3755 (= @t3785 @t3782))))) % 18.94/19.18 (assume @p2776 (forall @t3763 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3735)) @t3764))) % 18.94/19.18 (assume @p2777 (forall @t1852 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1537 @t3778) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1537 @t3776)))) % 18.94/19.18 (assume @p2778 (forall @t1852 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3788 @t1536) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3786 @t1536)))) % 18.94/19.18 (assume @p2779 (forall @t3789 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3788 @t3542) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3786 @t3542)))) % 18.94/19.18 (assume @p2780 (forall @t1852 (= (tptp.hAPP @t3380 @t3778) (tptp.hAPP @t3380 @t3776)))) % 18.94/19.18 (assume @p2781 (forall @t1852 (= (tptp.hAPP @t3791 @t1536) (tptp.hAPP @t3790 @t1536)))) % 18.94/19.18 (assume @p2782 (forall @t3789 (= (tptp.hAPP @t3791 @t3542) (tptp.hAPP @t3790 @t3542)))) % 18.94/19.18 (assume @p2783 (forall @t3606 (=> @t3553 (= (tptp.hAPP (tptp.hAPP @t877 @t1518) @t3589) (tptp.hAPP @t3550 (tptp.hAPP @t3781 @t2295)))))) % 18.94/19.18 (assume @p2784 (forall @t3554 (=> @t3553 (= (tptp.hAPP @t3602 @t1518) (tptp.hAPP @t3550 (tptp.hAPP @t3592 @t3792)))))) % 18.94/19.18 (assume @p2785 (forall @t3738 (= (= @t2478 @t3713) @t3800))) % 18.94/19.18 (assume @p2786 (forall @t3737 (= (= @t3713 @t2478) @t3800))) % 18.94/19.18 (assume @p2787 (forall @t3807 (= (tptp.c_Nat_Onat_Onat__case @t10 @t219 @t2 @t3713) (tptp.hAPP @t3806 (tptp.hAPP @t3804 @t2648))))) % 18.94/19.18 (assume @p2788 (forall @t3737 (= (tptp.hBOOL (tptp.hAPP @t3766 @t2478)) (tptp.hBOOL (tptp.hAPP @t3799 (tptp.hAPP @t3797 (tptp.hAPP (tptp.hAPP @t3794 (tptp.hAPP (tptp.hAPP @t3793 @t1754) tptp.c_Int_Onat)) @t831))))))) % 18.94/19.18 (assume @p2789 (forall @t3738 (= (tptp.hBOOL (tptp.hAPP @t2594 @t3713)) (tptp.hBOOL (tptp.hAPP @t3799 (tptp.hAPP @t3798 (tptp.hAPP @t3797 (tptp.hAPP (tptp.hAPP @t2872 @t1822) tptp.c_Int_Onat)))))))) % 18.94/19.18 (assume @p2790 (forall @t3738 (= (tptp.hBOOL (tptp.hAPP @t2489 @t3713)) (tptp.hBOOL (tptp.hAPP @t3799 (tptp.hAPP @t3798 (tptp.hAPP @t3797 (tptp.hAPP (tptp.hAPP @t2872 @t1513) tptp.c_Int_Onat)))))))) % 18.94/19.18 (assume @p2791 (forall @t3737 (= (tptp.hBOOL (tptp.hAPP @t3768 @t2478)) (tptp.hBOOL (tptp.hAPP @t3799 (tptp.hAPP @t3797 (tptp.hAPP (tptp.hAPP @t3794 (tptp.hAPP (tptp.hAPP @t3793 @t1512) tptp.c_Int_Onat)) @t831))))))) % 18.94/19.18 (assume @p2792 (forall @t3544 (and (=> @t3564 (= @t3808 @t1599)) (=> @t3565 (= @t3808 @t3727))))) % 18.94/19.18 (assume @p2793 (forall @t3737 (= (tptp.hAPP (tptp.hAPP @t2992 @t3713) @t2478) (tptp.hAPP @t3736 (tptp.hAPP @t3809 (tptp.hAPP @t3734 (tptp.hAPP (tptp.hAPP @t3732 (tptp.hAPP (tptp.hAPP @t3731 @t2992) tptp.c_Int_Onat)) @t831))))))) % 18.94/19.18 (assume @p2794 (forall @t3738 (= (tptp.hAPP @t3043 @t3713) (tptp.hAPP @t3736 (tptp.hAPP @t3809 (tptp.hAPP @t3734 (tptp.hAPP (tptp.hAPP @t3733 @t3041) tptp.c_Int_Onat))))))) % 18.94/19.18 (assume @p2795 (forall @t3812 (= (tptp.c_Nat_Onat_Onat__case @t10 @t219 @t2 @t3811) (tptp.hAPP @t3806 (tptp.hAPP (tptp.hAPP @t3803 (tptp.hAPP @t3802 (tptp.c_Nat_Onat_Onat__case @t10 @t219 @t2 @t831))) (tptp.hAPP @t2647 @t3810)))))) % 18.94/19.18 (assume @p2796 (forall @t3812 (= (tptp.hAPP @t3813 @t3811) (tptp.hAPP @t3806 (tptp.hAPP (tptp.hAPP @t3803 (tptp.hAPP @t3802 (tptp.hAPP @t3813 @t831))) (tptp.hAPP (tptp.hAPP @t3803 (tptp.hAPP @t3815 @t3810)) (tptp.hAPP @t3814 @t3810))))))) % 18.94/19.18 (assume @p2797 (forall @t3773 (=> @t3560 (= (= @t1494 @t3557) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t3556 (tptp.hAPP @t3781 @t3816))))))) % 18.94/19.18 (assume @p2798 (forall @t597 (=> @t3560 (= (= @t3558 @t1494) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t3556 (tptp.hAPP @t3817 @t3792))))))) % 18.94/19.18 (assume @p2799 (forall @t3807 (= (tptp.hAPP @t3813 @t3713) (tptp.hAPP @t3806 (tptp.hAPP @t3804 (tptp.hAPP (tptp.hAPP @t3803 (tptp.hAPP @t3815 tptp.c_Int_Onat)) (tptp.hAPP @t3814 tptp.c_Int_Onat))))))) % 18.94/19.18 (assume @p2800 (forall @t2707 (=> @t2178 (= (tptp.c_Int_Oiszero @t10 @t513) @t3244)))) % 18.94/19.18 (assume @p2801 (forall @t819 (=> @t1959 (tptp.c_Int_Oiszero @t33 @t1955)))) % 18.94/19.18 (assume @p2802 (forall @t819 (=> @t1959 (not (tptp.c_Int_Oiszero @t33 @t1518))))) % 18.94/19.18 (assume @p2803 (forall @t2782 (= (tptp.hAPP @t3818 @t1949) @t2780))) % 18.94/19.18 (assume @p2804 (forall @t2784 (= (tptp.hAPP @t3818 @t2469) (tptp.hAPP @t2783 (tptp.hAPP @t3818 @t2468))))) % 18.94/19.18 (assume @p2805 (forall @t819 (=> @t3553 (tptp.c_Int_Oiszero @t33 @t3747)))) % 18.94/19.18 (assume @p2806 (forall @t3606 (=> (and @t3553 (tptp.class_Int_Oring__char__0 @t33)) (not (tptp.c_Int_Oiszero @t33 @t3695))))) % 18.94/19.18 (assume @p2807 (forall @t819 (=> @t3553 (not (tptp.c_Int_Oiszero @t33 @t3759))))) % 18.94/19.18 (assume @p2808 (forall @t107 (=> @t3560 (= @t3559 (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t3556 (tptp.hAPP @t3817 @t3816))))))) % 18.94/19.18 (assume @p2809 (forall @t3773 (=> @t3560 (= (= @t1939 @t3557) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t3556 (tptp.hAPP @t3746 @t3816))))))) % 18.94/19.18 (assume @p2810 (forall @t597 (=> @t3560 (= (= @t3558 @t1939) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t3556 (tptp.hAPP @t3817 @t3744))))))) % 18.94/19.18 (assume @p2811 (forall @t3294 (=> @t3336 (= @t3826 (tptp.hAPP (tptp.hAPP @t2211 (tptp.hAPP @t3822 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3819 @t81))) @t2205))))) % 18.94/19.18 (assume @p2812 (forall @t3835 (and (=> @t3832 (= @t3831 (tptp.hAPP (tptp.hAPP @t2201 @t3834) @t2205))) (=> @t3833 (= @t3831 (tptp.hAPP (tptp.hAPP @t2211 (tptp.hAPP @t3822 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3827 @t3671))) @t2205)))))) % 18.94/19.18 (assume @p2813 (forall @t2453 (= (tptp.hAPP @t3822 (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) @t3836) (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 @t3702 tptp.tc_Nat_Onat) @t2194) @t2182)) @t215))) @t1934)) (tptp.hAPP (tptp.hAPP @t2194 @t2185) (tptp.hAPP @t3836 (tptp.hAPP @t3836 (tptp.hAPP (tptp.hAPP @t2194 (tptp.hAPP @t2182 @t1930)) @t215))))))) % 18.94/19.18 (assume @p2814 (forall @t3448 (not (= @t3837 @t3740)))) % 18.94/19.18 (assume @p2815 (forall @t3448 (not (= @t3691 @t3838)))) % 18.94/19.18 (assume @p2816 (forall @t2241 (= (tptp.hBOOL (tptp.hAPP @t3841 @t3839)) @t3668))) % 18.94/19.18 (assume @p2817 (forall @t3686 (= (tptp.hBOOL (tptp.hAPP @t3844 @t3842)) @t3687))) % 18.94/19.18 (assume @p2818 (forall @t3448 (= (tptp.hAPP @t3847 @t3838) @t3846))) % 18.94/19.18 (assume @p2819 (forall @t3448 (= (tptp.hAPP (tptp.hAPP @t2194 @t3837) @t1868) @t3848))) % 18.94/19.18 (assume @p2820 (forall @t3686 (= (tptp.hBOOL (tptp.hAPP @t3849 @t3842)) @t3682))) % 18.94/19.18 (assume @p2821 (forall @t2241 (= (tptp.hBOOL (tptp.hAPP @t3850 @t3839)) @t2240))) % 18.94/19.18 (assume @p2822 (forall @t2238 (= @t3837 (tptp.hAPP @t2301 @t1791)))) % 18.94/19.18 (assume @p2823 (forall @t3448 (= (tptp.hAPP @t3852 @t3838) (tptp.c_Int_OBit0 @t3851)))) % 18.94/19.18 (assume @p2824 (forall @t2241 (= (= @t3840 @t3839) @t3676))) % 18.94/19.18 (assume @p2825 (forall @t2238 (= (tptp.hAPP @t2184 @t3837) (tptp.c_Int_OBit0 @t2690)))) % 18.94/19.18 (assume @p2826 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 18.94/19.18 (assume @p2827 (forall @t3853 (= (= tptp.c_Int_OPls @t3839) (= tptp.c_Int_OPls @t395)))) % 18.94/19.18 (assume @p2828 (forall @t1786 (= (= @t3840 tptp.c_Int_OPls) (= @t118 tptp.c_Int_OPls)))) % 18.94/19.18 (assume @p2829 (forall @t3675 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t3854) @t2188)) @t3690))) % 18.94/19.18 (assume @p2830 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3841 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t2774 tptp.c_Int_OPls))))) % 18.94/19.18 (assume @p2831 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3742 @t3840)) @t3750))) % 18.94/19.18 (assume @p2832 (forall @t3686 (= (tptp.hBOOL (tptp.hAPP @t3844 @t3683)) @t3687))) % 18.94/19.18 (assume @p2833 (forall @t2241 (= (tptp.hBOOL (tptp.hAPP @t3841 @t3677)) @t3668))) % 18.94/19.18 (assume @p2834 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3745 @t3840)) (tptp.hBOOL (tptp.hAPP @t3745 @t118))))) % 18.94/19.18 (assume @p2835 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3850 tptp.c_Int_OPls)) @t3751))) % 18.94/19.18 (assume @p2836 (forall @t2241 (= (tptp.hBOOL (tptp.hAPP @t3679 @t3839)) @t2240))) % 18.94/19.18 (assume @p2837 (forall @t3686 (= (tptp.hBOOL (tptp.hAPP @t3685 @t3842)) @t3682))) % 18.94/19.18 (assume @p2838 (forall @t3448 (= (tptp.hAPP @t3852 @t3740) @t3855))) % 18.94/19.18 (assume @p2839 (forall @t3448 (= (tptp.hAPP @t3856 @t3838) @t3855))) % 18.94/19.18 (assume @p2840 (forall @t3741 (= (tptp.hAPP @t3857 @t3838) (tptp.c_Int_OBit0 (tptp.hAPP @t3857 @t1868))))) % 18.94/19.18 (assume @p2841 (forall @t3448 (= (tptp.hAPP @t3858 @t3740) @t3846))) % 18.94/19.18 (assume @p2842 (forall @t3448 (= (tptp.hAPP @t3858 @t3838) (tptp.c_Int_OBit1 @t3845)))) % 18.94/19.18 (assume @p2843 (forall @t3667 (= (tptp.hAPP (tptp.hAPP @t3284 @t3860) @t3829) @t3859))) % 18.94/19.18 (assume @p2844 (forall @t3675 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t3547 @t3854))) @t3674))) % 18.94/19.18 (assume @p2845 (forall @t2238 (= (tptp.c_Int_Opred @t3691) @t3837))) % 18.94/19.18 (assume @p2846 (forall @t2238 (= (tptp.c_Int_Opred @t3837) (tptp.c_Int_OBit1 @t3757)))) % 18.94/19.18 (assume @p2847 (forall @t3608 (=> @t3561 (= (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t3556 @t3854)) (tptp.c_Int_Oiszero @t10 @t3562))))) % 18.94/19.18 (assume @p2848 (forall @t2238 (= (tptp.c_Int_Osucc @t3837) @t3691))) % 18.94/19.18 (assume @p2849 (forall @t2238 (= (tptp.c_Int_Osucc @t3691) (tptp.c_Int_OBit0 @t3772)))) % 18.94/19.18 (assume @p2850 (forall @t3675 (= @t3861 (tptp.hAPP @t3693 @t3692)))) % 18.94/19.18 (assume @p2851 (forall @t3606 (=> @t3553 (= @t3862 (tptp.hAPP (tptp.hAPP @t1627 (tptp.hAPP @t1968 @t3589)) @t3589))))) % 18.94/19.18 (assume @p2852 (forall @t2241 (= (tptp.hBOOL (tptp.hAPP @t3850 @t3677)) @t3668))) % 18.94/19.18 (assume @p2853 (forall @t3686 (= (tptp.hBOOL (tptp.hAPP @t3849 @t3683)) @t3687))) % 18.94/19.18 (assume @p2854 (forall @t2241 (= (tptp.hBOOL (tptp.hAPP @t3689 @t3839)) @t2240))) % 18.94/19.18 (assume @p2855 (forall @t3686 (= (tptp.hBOOL (tptp.hAPP @t3688 @t3842)) @t3682))) % 18.94/19.18 (assume @p2856 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t1170)) @t3863)) % 18.94/19.18 (assume @p2857 (forall @t3448 (= (tptp.hAPP (tptp.hAPP @t2194 @t3691) @t1868) (tptp.hAPP (tptp.hAPP @t2201 @t3848) @t1868)))) % 18.94/19.18 (assume @p2858 (forall @t3448 (= (tptp.hAPP @t3847 @t3740) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t2211 @t3757) @t1868))))) % 18.94/19.18 (assume @p2859 (forall @t3448 (= (tptp.hAPP @t3856 @t3740) (tptp.c_Int_OBit0 (tptp.hAPP @t2301 (tptp.c_Int_Osucc @t1868)))))) % 18.94/19.18 (assume @p2860 (forall (@list @t1622 @t513 @t10) (=> @t3560 (= (tptp.hAPP @t3696 @t3861) (tptp.hAPP @t3698 @t3864))))) % 18.94/19.18 (assume @p2861 (forall @t2310 (= (tptp.hAPP @t3699 @t3861) (tptp.hAPP @t3705 (tptp.hAPP (tptp.hAPP @t3704 @t2194) @t3701))))) % 18.94/19.18 (assume @p2862 (forall @t3606 (=> @t3553 (= (tptp.hAPP @t1710 @t3589) @t3862)))) % 18.94/19.18 (assume @p2863 (forall @t1821 (=> (tptp.hBOOL (tptp.hAPP @t2233 @t3865)) (and (tptp.hBOOL (tptp.hAPP @t2233 (tptp.hAPP @t3547 (tptp.c_Int_OBit0 @t1536)))) (tptp.hBOOL (tptp.hAPP @t2233 (tptp.hAPP @t3547 (tptp.c_Int_OBit1 @t1536)))))))) % 18.94/19.18 (assume @p2864 (tptp.c_Nat__Transfer_Ois__nat @t3821)) % 18.94/19.18 (assume @p2865 (forall @t3568 (=> @t3560 (= (tptp.hAPP @t3651 @t3861) (tptp.hAPP @t3661 @t3864))))) % 18.94/19.18 (assume @p2866 (forall @t2711 (=> @t3553 (= (tptp.hAPP @t3265 @t3867) @t3866)))) % 18.94/19.18 (assume @p2867 (forall @t2711 (=> @t3553 (= (tptp.hAPP @t3868 @t70) @t3866)))) % 18.94/19.18 (assume @p2868 (forall @t819 (=> @t3553 (= @t1709 @t3867)))) % 18.94/19.18 (assume @p2869 (forall @t819 (=> @t1959 (= (tptp.hAPP @t3202 @t3863) @t1955)))) % 18.94/19.18 (assume @p2870 (forall @t751 (=> @t1543 (= (= @t3869 @t1939) @t1966)))) % 18.94/19.18 (assume @p2871 (= @t3863 @t2452)) % 18.94/19.18 (assume @p2872 (= @t2452 @t3863)) % 18.94/19.18 (assume @p2873 (forall @t37 (=> @t1582 (= @t1244 @t3870)))) % 18.94/19.18 (assume @p2874 (forall @t424 (=> @t1520 (= @t3871 @t1241)))) % 18.94/19.18 (assume @p2875 (tptp.hBOOL (tptp.hAPP @t2233 @t3821))) % 18.94/19.18 (assume @p2876 (forall @t1821 (= (tptp.hAPP @t1842 @t3863) @t3777))) % 18.94/19.18 (assume @p2877 (forall @t1821 (= (tptp.hAPP (tptp.hAPP @t1596 @t3863) @t1536) @t3777))) % 18.94/19.18 (assume @p2878 (forall @t819 (=> @t1959 (= (tptp.hAPP @t3192 @t3863) @t1518)))) % 18.94/19.18 (assume @p2879 (forall @t424 (=> @t2122 (= (tptp.hAPP @t3207 @t3863) @t3871)))) % 18.94/19.18 (assume @p2880 (forall @t2243 (= (tptp.hAPP (tptp.hAPP @t1752 @t70) @t3863) @t3872))) % 18.94/19.18 (assume @p2881 (forall @t2243 (= (tptp.hAPP @t3873 @t70) @t3872))) % 18.94/19.18 (assume @p2882 (forall @t3177 (=> @t1520 (= @t3876 @t3874)))) % 18.94/19.18 (assume @p2883 (= @t3821 (tptp.hAPP @t2182 @t3863))) % 18.94/19.18 (assume @p2884 (= @t3863 @t3877)) % 18.94/19.18 (assume @p2885 (forall @t424 (=> @t1345 (= (tptp.hAPP @t2735 @t3871) @t3871)))) % 18.94/19.18 (assume @p2886 (forall @t424 (=> @t1345 (= (tptp.hAPP @t3196 @t3863) @t3871)))) % 18.94/19.18 (assume @p2887 (= (tptp.hAPP @t2529 @t1599) @t3863)) % 18.94/19.18 (assume @p2888 (forall @t1921 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3787 @t3863) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1537 @t3863)))) % 18.94/19.18 (assume @p2889 (forall @t1921 (= (tptp.hAPP (tptp.hAPP @t3374 @t3787) @t3863) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t3380 @t3863))))) % 18.94/19.18 (assume @p2890 (forall @t3667 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3860 @t3829) @t3834))) % 18.94/19.18 (assume @p2891 (forall @t1921 (= (tptp.hAPP (tptp.hAPP @t3374 (tptp.hAPP @t1844 @t1537)) @t3863) @t1537))) % 18.94/19.18 (assume @p2892 (forall (@list @t2082 @t33) (=> (and @t3231 @t3553) (=> (tptp.hBOOL (tptp.hAPP @t2051 @t2082)) (tptp.hBOOL (tptp.hAPP @t2051 (tptp.hAPP (tptp.hAPP @t3114 @t2082) @t3867))))))) % 18.94/19.18 (assume @p2893 (forall @t3489 (=> (and @t3224 @t3560) (= (tptp.hBOOL (tptp.hAPP @t1953 (tptp.hAPP (tptp.hAPP @t3135 @t124) (tptp.hAPP @t3556 @t3820)))) (tptp.hBOOL (tptp.hAPP @t1953 @t124)))))) % 18.94/19.18 (assume @p2894 (forall @t69 (=> @t1539 (=> (= @t3870 @t3878) (=> @t2119 (=> @t2118 @t76)))))) % 18.94/19.18 (assume @p2895 (forall @t69 (=> @t1539 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t3870) @t3878)) (=> @t2118 @t67))))) % 18.94/19.18 (assume @p2896 (forall @t424 (=> @t1345 (tptp.hBOOL (tptp.hAPP @t1963 @t3871))))) % 18.94/19.18 (assume @p2897 (forall @t424 (=> @t1345 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3871) @t1955)))))) % 18.94/19.18 (assume @p2898 (forall @t751 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP @t1953 @t3869)) @t2750)))) % 18.94/19.18 (assume @p2899 (forall @t107 (=> @t2085 (= (= @t3879 @t1939) @t2020)))) % 18.94/19.18 (assume @p2900 (forall (@list @t2278 @t10) (=> (and (tptp.class_Groups_Omonoid__mult @t10) @t3563) (= (tptp.hAPP (tptp.hAPP @t3157 @t3880) @t3863) (tptp.hAPP (tptp.hAPP @t1212 @t3880) @t3880))))) % 18.94/19.18 (assume @p2901 (forall @t1821 (=> (tptp.hBOOL (tptp.hAPP @t1820 @t3863)) (or @t1990 (= @t1536 @t2451))))) % 18.94/19.18 (assume @p2902 (= @t3877 @t2452)) % 18.94/19.18 (assume @p2903 (forall @t751 (=> @t1543 (= (= @t3869 @t1494) (or (= @t219 @t1494) (= @t219 @t1541)))))) % 18.94/19.18 (assume @p2904 (forall @t3883 (=> @t1582 (= (tptp.hAPP @t3112 @t3875) @t3882)))) % 18.94/19.18 (assume @p2905 (forall @t3177 (=> @t2122 (= (tptp.hAPP @t3207 @t3875) @t3876)))) % 18.94/19.18 (assume @p2906 (forall @t69 (=> @t1539 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3870) @t3878)) (=> @t2118 @t996))))) % 18.94/19.18 (assume @p2907 (forall @t69 (=> @t1345 (tptp.hBOOL (tptp.hAPP @t1963 @t3884))))) % 18.94/19.18 (assume @p2908 (forall @t107 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3879) @t1939)) @t2020)))) % 18.94/19.18 (assume @p2909 (forall @t107 (=> @t2085 (= (tptp.hBOOL (tptp.hAPP @t1953 @t3879)) @t2174)))) % 18.94/19.18 (assume @p2910 (forall @t69 (=> @t1345 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3884) @t1955)))))) % 18.94/19.18 (assume @p2911 (forall @t69 (=> @t3553 (= (tptp.hAPP (tptp.hAPP @t3110 (tptp.hAPP @t1712 @t64)) @t3863) (tptp.hAPP (tptp.hAPP @t1627 @t3884) @t3885))))) % 18.94/19.18 (assume @p2912 (forall @t3177 (=> @t1345 (tptp.hBOOL (tptp.hAPP @t1963 @t3876))))) % 18.94/19.18 (assume @p2913 (forall @t3177 (=> @t1520 (= @t3887 (tptp.hAPP @t1240 @t3874))))) % 18.94/19.18 (assume @p2914 (forall @t3883 (=> @t1582 (= (tptp.hAPP @t3112 @t3886) (tptp.hAPP @t1243 @t3882))))) % 18.94/19.18 (assume @p2915 (forall @t1964 (=> @t2122 (= (tptp.hAPP @t3217 @t3875) @t1518)))) % 18.94/19.18 (assume @p2916 (forall @t3835 (and (=> @t3832 (= @t3888 @t3859)) (=> @t3833 (= @t3888 (tptp.hAPP (tptp.hAPP @t3284 @t3827) @t3671)))))) % 18.94/19.18 (assume @p2917 (forall @t2006 (= (tptp.hBOOL (tptp.hAPP @t1951 @t3889)) (= @t3889 @t1599)))) % 18.94/19.18 (assume @p2918 (forall @t1821 (=> @t3390 (tptp.hBOOL (tptp.hAPP @t1951 (tptp.hAPP @t3379 @t3863)))))) % 18.94/19.18 (assume @p2919 (forall @t69 (=> @t3553 (= (tptp.hAPP (tptp.hAPP @t3110 @t921) @t3863) (tptp.hAPP (tptp.hAPP @t877 @t3884) @t3885))))) % 18.94/19.18 (assume @p2920 (forall @t3177 (=> @t1345 (=> (tptp.hBOOL (tptp.hAPP @t1963 @t3887)) @t2017)))) % 18.94/19.18 (assume @p2921 (forall @t3177 (=> @t1345 (=> @t2062 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t986 @t3887) @t1955)))))) % 18.94/19.18 (assume @p2922 (forall @t1964 (=> @t2122 (= (tptp.hAPP @t3217 @t3886) @t1570)))) % 18.94/19.18 (assume @p2923 (forall @t1821 (=> @t1992 (tptp.hBOOL (tptp.hAPP @t1951 (tptp.hAPP (tptp.hAPP @t3374 @t2528) @t3863)))))) % 18.94/19.18 (assume @p2924 (forall @t37 (=> @t1959 (=> @t2383 (= (tptp.hAPP @t1956 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3822 @t32))) (tptp.hAPP (tptp.hAPP @t1627 @t3890) @t3890)))))) % 18.94/19.18 (assume @p2925 (forall @t3294 (=> @t3329 (= @t3826 (tptp.hAPP @t2260 (tptp.hAPP @t3822 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t85 @t81))))))) % 18.94/19.18 (assume @p2926 (forall @t3294 (=> @t3329 (= @t3891 (tptp.hAPP @t3450 @t81))))) % 18.94/19.18 (assume @p2927 (forall @t3294 (=> @t3336 (= @t3891 (tptp.hAPP (tptp.hAPP @t3284 @t3819) @t81))))) % 18.94/19.18 (assume @p2928 (forall @t2238 (and (=> @t3899 (= @t3896 @t2188)) (=> (not @t3899) (and (=> @t3898 (= @t3896 @t3895)) (=> (not @t3898) (= @t3896 (tptp.hAPP (tptp.hAPP @t2201 @t3895) @t2205)))))))) % 18.94/19.18 (assume @p2929 (forall @t231 (=> @t2548 (and (=> @t3320 (= @t3906 @t1939)) (=> @t3907 (and (=> @t3363 (= @t3906 (tptp.hAPP @t390 (tptp.hAPP @t2701 (tptp.hAPP @t2184 @t118))))) (=> (not @t3363) (= @t3906 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3905 @t3904) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3903 (tptp.tc_fun @t3905 @t3904) tptp.tc_Int_Oint) (tptp.c_COMBB @t1180 @t10 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3903 tptp.tc_Int_Oint) @t3660) @t2701))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t1180 @t1180) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1181 (tptp.tc_fun @t1180 @t1180) tptp.tc_Int_Oint) @t3658) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t1180 @t1181) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1181 (tptp.tc_fun @t1180 @t1181) tptp.tc_Int_Oint) @t3656) (tptp.hAPP @t3801 @t3902))) @t3900))) (tptp.hAPP (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t3656 @t1594) @t3900)) @t1494)))) (tptp.c_Divides_Odivmod__int @t118 @t3821)))))))))) % 18.94/19.18 (assume @p2930 (forall @t1964 (=> @t3553 (= (tptp.hAPP @t3909 @t3886) @t3908)))) % 18.94/19.18 (assume @p2931 (forall @t2238 (not (= @t3837 tptp.c_Int_OMin)))) % 18.94/19.18 (assume @p2932 (forall @t3741 (not (= tptp.c_Int_OMin @t3838)))) % 18.94/19.18 (assume @p2933 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 18.94/19.18 (assume @p2934 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 18.94/19.18 (assume @p2935 (not (tptp.hBOOL (tptp.hAPP @t3910 tptp.c_Int_OMin)))) % 18.94/19.18 (assume @p2936 (= (tptp.hAPP (tptp.hAPP @t3912 @t3897) @t3911) @t3897)) % 18.94/19.18 (assume @p2937 (tptp.hBOOL (tptp.hAPP @t3913 tptp.c_Int_OMin))) % 18.94/19.18 (assume @p2938 (forall @t1786 (= (= @t3678 tptp.c_Int_OMin) (= @t118 tptp.c_Int_OMin)))) % 18.94/19.18 (assume @p2939 (forall @t3853 (= (= tptp.c_Int_OMin @t3677) (= tptp.c_Int_OMin @t395)))) % 18.94/19.18 (assume @p2940 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 18.94/19.18 (assume @p2941 (tptp.hBOOL (tptp.hAPP @t3910 @t2188))) % 18.94/19.18 (assume @p2942 (tptp.hBOOL (tptp.hAPP @t3913 tptp.c_Int_OPls))) % 18.94/19.18 (assume @p2943 (not (tptp.hBOOL (tptp.hAPP @t3742 tptp.c_Int_OMin)))) % 18.94/19.18 (assume @p2944 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3913 @t3678)) (tptp.hBOOL (tptp.hAPP @t3913 @t118))))) % 18.94/19.18 (assume @p2945 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3689 tptp.c_Int_OMin)) @t3914))) % 18.94/19.18 (assume @p2946 (not (tptp.hBOOL (tptp.hAPP @t3745 tptp.c_Int_OMin)))) % 18.94/19.18 (assume @p2947 (tptp.hBOOL (tptp.hAPP @t3910 tptp.c_Int_OPls))) % 18.94/19.18 (assume @p2948 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3679 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t2239 tptp.c_Int_OMin))))) % 18.94/19.18 (assume @p2949 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3910 @t3678)) @t3915))) % 18.94/19.18 (assume @p2950 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3841 tptp.c_Int_OMin)) @t3914))) % 18.94/19.18 (assume @p2951 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3910 @t3840)) @t3915))) % 18.94/19.18 (assume @p2952 (not (= @t3749 @t3916))) % 18.94/19.18 (assume @p2953 (= tptp.c_Int_OMin @t2762)) % 18.94/19.18 (assume @p2954 (forall @t2238 (= (tptp.hAPP (tptp.hAPP @t2194 tptp.c_Int_OMin) @t1791) @t2690))) % 18.94/19.18 (assume @p2955 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3916))) % 18.94/19.18 (assume @p2956 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 18.94/19.18 (assume @p2957 (forall @t2238 (= (tptp.hAPP @t2301 tptp.c_Int_OMin) @t3757))) % 18.94/19.18 (assume @p2958 (forall @t2238 (= (tptp.hAPP (tptp.hAPP @t2201 tptp.c_Int_OMin) @t1791) @t3757))) % 18.94/19.18 (assume @p2959 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 18.94/19.18 (assume @p2960 (forall @t819 (=> @t3553 (not (tptp.c_Int_Oiszero @t33 @t3908))))) % 18.94/19.18 (assume @p2961 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 18.94/19.18 (assume @p2962 (forall @t2238 (= (tptp.hAPP @t3743 tptp.c_Int_OMin) @t3772))) % 18.94/19.18 (assume @p2963 (forall @t2711 (=> @t3553 (= (tptp.hAPP (tptp.hAPP @t1239 @t3908) @t70) @t3917)))) % 18.94/19.18 (assume @p2964 (forall @t2711 (=> @t3553 (= (tptp.hAPP @t3265 @t3908) @t3917)))) % 18.94/19.18 (assume @p2965 (forall @t819 (=> @t3553 (= @t3908 @t1570)))) % 18.94/19.18 (assume @p2966 (forall @t819 (=> @t3553 (= @t1570 @t3908)))) % 18.94/19.18 (assume @p2967 (forall @t819 (=> @t3635 (= (tptp.hAPP @t2735 @t3908) @t1518)))) % 18.94/19.18 (assume @p2968 (forall @t37 (=> @t3760 (= (tptp.hAPP @t3228 @t3908) @t405)))) % 18.94/19.18 (assume @p2969 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3850 tptp.c_Int_OMin)) @t3914))) % 18.94/19.18 (assume @p2970 (forall @t1786 (= (tptp.hBOOL (tptp.hAPP @t3913 @t3840)) @t3915))) % 18.94/19.18 (assume @p2971 (forall @t3315 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t3916) @t2188))) % 18.94/19.18 (assume @p2972 (forall @t3741 (= (tptp.hAPP @t3857 @t3740) @t3920))) % 18.94/19.18 (assume @p2973 (= (tptp.hAPP @t2184 tptp.c_Int_OMin) @t3739)) % 18.94/19.18 (assume @p2974 (forall @t1852 (=> (= @t2756 @t2205) (or (= @t1537 @t2205) (= @t1537 @t3916))))) % 18.94/19.18 (assume @p2975 (forall @t1827 (= @t2235 (or @t2234 (and (= @t561 @t3916) (= @t831 @t3916)))))) % 18.94/19.18 (assume @p2976 (forall @t3741 (= (tptp.hAPP @t3918 @t3740) (tptp.c_Int_OBit0 @t3919)))) % 18.94/19.18 (assume @p2977 (forall @t3741 (= (tptp.hAPP @t3918 @t3838) @t3920))) % 18.94/19.18 (assume @p2978 (forall @t819 (=> @t3553 (= (tptp.hAPP @t2687 @t3916) @t3908)))) % 18.94/19.18 (assume @p2979 (forall @t3315 (= (tptp.hAPP @t3292 @t3916) @t3288))) % 18.94/19.18 (assume @p2980 (= @t3897 (tptp.hAPP @t3892 tptp.c_Int_OPls))) % 18.94/19.18 (assume @p2981 (forall @t37 (=> @t3760 (= (tptp.hAPP (tptp.hAPP @t3114 @t3908) @t32) (tptp.hAPP @t404 (tptp.hAPP @t3206 @t32)))))) % 18.94/19.18 (assume @p2982 (forall @t1964 (=> @t3635 (= (tptp.hAPP @t2735 (tptp.hAPP @t3909 @t1536)) @t1518)))) % 18.94/19.18 (assume @p2983 (forall @t3287 (=> @t3301 (= (tptp.hAPP (tptp.hAPP @t3284 @t3916) @t85) @t3916)))) % 18.94/19.18 (assume @p2984 (forall @t3294 (=> @t2334 (=> @t3468 (= @t3295 @t3916))))) % 18.94/19.18 (assume @p2985 (forall @t3287 (=> @t3301 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3916 @t85) @t3921)))) % 18.94/19.18 (assume @p2986 (= @t3911 (tptp.hAPP @t3892 @t3739))) % 18.94/19.18 (assume @p2987 (forall @t1964 (=> @t3553 (= (tptp.hAPP @t3909 @t3875) @t1518)))) % 18.94/19.18 (assume @p2988 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t3924 (tptp.hAPP (tptp.hAPP @t3923 (tptp.hAPP @t2868 (tptp.hAPP @t2867 @t2192))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2271) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3922 @t3922 tptp.tc_Int_Oint) @t3901) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3702 @t3922 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2271 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t2205))))) % 18.94/19.18 (assume @p2989 (forall @t3929 (= @t3928 (tptp.hAPP @t3927 (tptp.hAPP @t3924 (tptp.hAPP (tptp.hAPP @t3923 (tptp.hAPP @t2868 @t3925)) @t2190)))))) % 18.94/19.18 (assume @p2990 (forall @t3929 (= @t3931 (tptp.hAPP @t3927 (tptp.hAPP @t3924 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t2271 @t2271) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1170 @t3930 tptp.tc_Int_Oint) @t3795) @t3925)) @t2190)))))) % 18.94/19.18 (assume @p2991 (forall @t1327 (tptp.c_Fun_Oinj__on @t42 @t1322 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1322 @t1322 @t42) @t3934) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3933 @t1322 @t42) @t3932) (tptp.hAPP @t112 (tptp.hAPP (tptp.c_COMBC @t38 @t38 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t1333))) % 18.94/19.18 (assume @p2992 (forall @t346 (= (tptp.c_Nitpick_Oprod @t10 @t38 @t23 @t22) (tptp.hAPP @t3934 (tptp.hAPP @t3932 @t3936))))) % 18.94/19.18 (assume @p2993 (forall @t1908 (and (=> @t3939 (= @t3938 @t1536)) (=> (not @t3939) (= @t3938 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t3937 @t3911) @t2459)))))) % 18.94/19.18 (assume @p2994 (forall @t3326 (= @t3943 (tptp.hAPP @t3924 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2271 @t2271) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3942 @t3930 tptp.tc_Int_Oint) @t2868) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2271 @t3942 tptp.tc_Int_Oint) @t2867) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3702 @t2271 tptp.tc_Int_Oint) (tptp.hAPP @t3941 @t2139)) (tptp.hAPP @t3940 (tptp.hAPP @t2194 @t216)))))) (tptp.hAPP (tptp.hAPP @t2868 (tptp.hAPP @t2867 (tptp.hAPP (tptp.hAPP @t3795 (tptp.hAPP tptp.c_fimplies @t3311)) (tptp.hAPP @t2869 (tptp.hAPP (tptp.hAPP @t3901 @t2190) @t216))))) (tptp.hAPP (tptp.hAPP @t3795 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t3311))) (tptp.hAPP (tptp.hAPP @t2868 (tptp.hAPP @t2867 @t3307)) (tptp.hAPP (tptp.hAPP @t3901 @t2186) @t2188))))))))) % 18.94/19.18 (assume @p2995 (forall @t3443 (=> @t3476 (tptp.hBOOL (tptp.hAPP @t3945 @t3944))))) % 18.94/19.18 (assume @p2996 (forall @t3950 (=> @t3949 (=> @t3476 (=> @t3343 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t81 @t3342) (tptp.hAPP (tptp.hAPP @t3946 (tptp.hAPP (tptp.hAPP @t3284 @t2329) @t82)) @t3470)))))))) % 18.94/19.18 (assume @p2997 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t3897) @t1949)) % 18.94/19.18 (assume @p2998 (forall @t3608 (=> @t3560 (=> (tptp.hBOOL (tptp.hAPP @t3742 @t1622)) (tptp.hBOOL (tptp.hAPP @t3607 @t3951)))))) % 18.94/19.18 (assume @p2999 (forall @t3959 (= @t3958 (tptp.hBOOL (tptp.hAPP @t3957 @t3952))))) % 18.94/19.18 (assume @p3000 (forall @t3966 (= (= @t3965 @t3964) @t362))) % 18.94/19.18 (assume @p3001 (forall @t3969 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3968 @t3965) @t3964) @t47) @t97)) (tptp.hBOOL (tptp.hAPP @t3957 (tptp.hAPP (tptp.hAPP @t3967 @t361) @t348)))))) % 18.94/19.18 (assume @p3002 (forall @t3966 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3970 @t3965) @t3964)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3529 @t361) @t348))))) % 18.94/19.18 (assume @p3003 (forall @t3969 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3972 @t3965) @t3964) @t47) @t97)) (tptp.hBOOL (tptp.hAPP @t3957 (tptp.hAPP (tptp.hAPP @t3971 @t361) @t348)))))) % 18.94/19.18 (assume @p3004 (forall @t3976 (=> @t3975 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t1321) @t56)) (tptp.hBOOL (tptp.hAPP @t1189 (tptp.hAPP (tptp.hAPP @t3974 (tptp.c_Enum_Oenum__class_Oenum__ex @t38)) @t3973))))))) % 18.94/19.18 (assume @p3005 (forall @t3976 (=> @t3975 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t1321) @t56)) (tptp.hBOOL (tptp.hAPP @t114 (tptp.hAPP (tptp.hAPP @t3974 (tptp.c_Enum_Oenum__class_Oenum__all @t38)) @t3973))))))) % 18.94/19.18 (assume @p3006 (forall @t3983 (= @t3982 (exists @t7 (and @t194 @t3980))))) % 18.94/19.18 (assume @p3007 (forall (@list @t124 @t216 @t38 @t23 @t219 @t10) (=> @t251 (=> @t3987 (tptp.hBOOL (tptp.hAPP @t282 @t3527)))))) % 18.94/19.18 (assume @p3008 (forall @t3989 (=> @t3949 (=> @t3988 (=> @t3476 (= @t2082 @t2341)))))) % 18.94/19.18 (assume @p3009 (forall @t3989 (=> @t3949 (=> @t3988 (=> @t3476 (= @t2329 @t2338)))))) % 18.94/19.18 (assume @p3010 (forall @t3991 (=> @t3990 (=> @t3314 (= @t2082 @t2188))))) % 18.94/19.18 (assume @p3011 (forall @t3287 (=> @t3476 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2188 @t85) @t3993))))) % 18.94/19.18 (assume @p3012 (forall @t4005 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t261 @t600) @t4004) @t47) @t97)) (tptp.hBOOL (tptp.hAPP @t3999 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3995) @t600) @t124)))))) % 18.94/19.18 (assume @p3013 (forall @t4005 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t258 @t600) @t4004) @t47) @t97)) (tptp.hBOOL (tptp.hAPP @t3999 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t3995) @t600) @t124)))))) % 18.94/19.18 (assume @p3014 (forall @t3991 (=> @t3990 (=> @t3314 (= @t2329 @t2205))))) % 18.94/19.18 (assume @p3015 (forall @t4006 (=> @t3949 (=> @t3476 (= @t3417 @t2082))))) % 18.94/19.18 (assume @p3016 (forall @t4006 (=> @t3949 (=> @t3476 (= @t3295 @t2329))))) % 18.94/19.18 (assume @p3017 (forall @t658 (=> @t2178 (tptp.hBOOL (tptp.hAPP @t2547 @t3951))))) % 18.94/19.18 (assume @p3018 (forall (@list @t2329 @t3131) (= (tptp.c_Divides_Odivmod__int @t3131 @t2329) (tptp.hAPP (tptp.hAPP @t3946 (tptp.hAPP (tptp.hAPP @t3284 @t3131) @t2329)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3131 @t2329))))) % 18.94/19.18 (assume @p3019 (forall @t421 (=> @t2178 (=> @t4008 (=> @t4007 (tptp.hBOOL (tptp.hAPP @t2550 @t3951))))))) % 18.94/19.18 (assume @p3020 (forall @t421 (=> @t2178 (=> @t4008 (=> @t4007 (tptp.hBOOL (tptp.hAPP @t2552 @t3951))))))) % 18.94/19.18 (assume @p3021 (forall @t658 (=> @t2178 (tptp.hBOOL (tptp.hAPP @t2553 @t3951))))) % 18.94/19.18 (assume @p3022 (forall @t832 (=> @t2178 (tptp.hBOOL (tptp.hAPP @t2554 @t3951))))) % 18.94/19.18 (assume @p3023 (forall (@list @t219 @t124 @t38 @t216 @t10) (= (tptp.hBOOL (tptp.hAPP @t287 @t4011)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3979 @t4010) @t124))))) % 18.94/19.18 (assume @p3024 (forall @t3443 (=> @t3476 (tptp.hBOOL (tptp.hAPP @t3945 (tptp.hAPP (tptp.hAPP @t3946 @t3295) @t3417)))))) % 18.94/19.18 (assume @p3025 (forall (@list @t219 @t124 @t10 @t38) (= @t4011 (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3533 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3532 @t4012 @t10) @t3979) @t4009)) @t124))))) % 18.94/19.18 (assume @p3026 (forall @t4020 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t81 @t82) (tptp.hAPP (tptp.hAPP @t3946 @t4017) @t4014))) (=> (tptp.hBOOL (tptp.hAPP @t4019 (tptp.hAPP (tptp.hAPP @t3946 @t4016) @t4013))) (=> @t4018 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3453 @t82) (tptp.hAPP (tptp.hAPP @t3946 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP (tptp.hAPP @t2201 @t4017) @t4016)) (tptp.hAPP (tptp.hAPP @t3284 @t4015) @t82))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t4015 @t82))))))))) % 18.94/19.18 (assume @p3027 (forall (@list @t124 @t3403 @t216 @t219) (=> (tptp.hBOOL (tptp.hAPP @t3943 @t4024)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t4023 @t216) (tptp.hAPP (tptp.hAPP @t3946 (tptp.hAPP (tptp.hAPP @t4021 @t4022) (tptp.hAPP (tptp.hAPP @t2211 @t4022) @t2205))) (tptp.hAPP (tptp.hAPP @t4021 @t2188) (tptp.hAPP (tptp.hAPP @t2211 @t216) @t124)))))))) % 18.94/19.18 (assume @p3028 (forall @t4006 (=> (= @t81 @t2353) (=> (and (=> @t3301 (and @t2337 @t2351)) (=> @t4025 (and @t2361 @t2362))) @t3949)))) % 18.94/19.18 (assume @p3029 (forall @t4027 (=> (tptp.hBOOL (tptp.hAPP @t4019 @t3948)) (=> @t4018 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3437 @t82) (tptp.hAPP (tptp.hAPP @t3946 (tptp.hAPP (tptp.hAPP @t2201 @t2332) (tptp.hAPP (tptp.hAPP @t3284 @t4026) @t82))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t4026 @t82)))))))) % 18.94/19.18 (assume @p3030 (forall (@list @t2 @t150 @t23 @t216 @t219 @t38 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3986 @t23)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1136 @t4030) (tptp.hAPP (tptp.c_Set_Oimage @t1321 @t150 @t4029) @t23)))))) % 18.94/19.18 (assume @p3031 (forall @t3309 @t4037)) % 18.94/19.18 (assume @p3032 (forall (@list @t124 @t3403 @t216) (= (tptp.hAPP @t4043 @t4024) (tptp.hAPP (tptp.hAPP @t4033 (tptp.hAPP (tptp.hAPP @t2211 @t124) @t216)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3926 @t3926) (tptp.hAPP (tptp.hAPP @t4042 (tptp.hAPP @t4041 @t2233)) (tptp.hAPP @t3946 (tptp.hAPP (tptp.hAPP @t2201 @t4038) @t2205)))) (tptp.hAPP (tptp.hAPP @t3946 @t4038) @t124)))))) % 18.94/19.18 (assume @p3033 (forall @t4047 (=> @t4046 (=> (not @t4045) @t4044)))) % 18.94/19.18 (assume @p3034 (forall (@list @t38 @t10 @t23 @t97 @t47 @t22) (=> (=> @t4048 @t4045) @t4046))) % 18.94/19.18 (assume @p3035 (forall (@list @t38 @t10 @t22 @t97 @t47 @t23) (=> @t4045 (=> @t4044 @t4049)))) % 18.94/19.18 (assume @p3036 (forall @t4047 (=> @t4049 (not (=> @t4045 @t4048))))) % 18.94/19.18 (assume @p3037 (forall (@list @t150 @t38 @t216 @t219 @t220 @t513 @t10) (=> (tptp.hBOOL (tptp.hAPP @t662 @t4052)) (tptp.hBOOL (tptp.hAPP @t662 (tptp.hAPP @t4051 @t4050)))))) % 18.94/19.18 (assume @p3038 (forall (@list @t38 @t10 @t216 @t219 @t2) (=> @t4054 @t4053))) % 18.94/19.18 (assume @p3039 (forall (@list @t38 @t10 @t216 @t219 @t2780) (=> (tptp.hBOOL @t4055) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3932 @t2780) @t3985))))) % 18.94/19.18 (assume @p3040 (forall @t3959 (not @t3958))) % 18.94/19.18 (assume @p3041 (forall @t2011 (tptp.c_Fun_Oinj__on @t1321 @t3532 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t38 @t3532) @t4056) @t23))) % 18.94/19.18 (assume @p3042 (forall (@list @t220 @t216 @t219 @t361 @t150 @t38 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4057 @t361) @t3985) @t220)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t361 @t219) @t216) @t220))))) % 18.94/19.18 (assume @p3043 (forall @t4047 (=> @t4049 @t4045))) % 18.94/19.18 (assume @p3044 (forall @t4047 (=> @t4049 @t4044))) % 18.94/19.18 (assume @p3045 (forall (@list @t22 @t38 @t10 @t97 @t47 @t23) (=> @t4045 @t4046))) % 18.94/19.18 (assume @p3046 (forall (@list @t23 @t38 @t10 @t97 @t47 @t22) (=> @t4044 @t4046))) % 18.94/19.18 (assume @p3047 (forall (@list @t53 @t38 @t10 @t97 @t47 @t56) (=> @t4060 (=> @t4059 @t4058)))) % 18.94/19.18 (assume @p3048 (forall (@list @t97 @t47 @t53 @t56 @t38 @t10) (=> @t4059 (=> @t4060 @t4058)))) % 18.94/19.18 (assume @p3049 (forall (@list @t2339 @t3338 @t85 @t81 @t10 @t33) (=> (= @t4062 (tptp.hAPP (tptp.hAPP @t4061 @t3338) @t2339)) (not (=> (= @t81 @t3338) (not (= @t85 @t2339))))))) % 18.94/19.18 (assume @p3050 (forall @t4068 (= (= @t3985 @t4067) @t4066))) % 18.94/19.18 (assume @p3051 (forall (@list @t38 @t10 @t56) (= @t171 (forall @t4070 (tptp.hBOOL (tptp.hAPP @t56 @t4069)))))) % 18.94/19.18 (assume @p3052 (forall (@list @t220 @t150 @t38 @t10 @t3403 @t1504) (=> (= @t1504 @t3403) (= (tptp.hAPP @t4071 @t1504) (tptp.hAPP @t4071 @t3403))))) % 18.94/19.18 (assume @p3053 (forall (@list @t1504 @t1 @t1385 @t1251 @t2 @t10 @t150 @t38) (= (tptp.hAPP @t4073 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1251 @t1385 @t3994) @t1) @t1504)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1251 @t1385 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t1385 @t3994) (tptp.tc_fun @t1385 @t10) @t1251) (tptp.hAPP (tptp.c_COMBB @t3994 @t10 @t1385) @t4073)) @t1)) @t1504)))) % 18.94/19.18 (assume @p3054 (forall @t4074 (= (tptp.hAPP @t4073 @t4050) @t4030))) % 18.94/19.18 (assume @p3055 (forall @t4075 (= (tptp.hAPP (tptp.hAPP @t4072 @t2780) @t4050) @t4055))) % 18.94/19.18 (assume @p3056 (forall @t4076 (=> @t4053 @t4054))) % 18.94/19.18 (assume @p3057 (forall @t4077 (= (tptp.hAPP @t4028 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3962 @t2848 @t10) (tptp.hAPP (tptp.c_COMBB @t1321 @t150 @t38) @t2)) @t3953)) @t2))) % 18.94/19.18 (assume @p3058 (forall @t3959 (= (tptp.c_HOL_OThe @t1321 @t4078) @t3955))) % 18.94/19.18 (assume @p3059 (forall @t4080 (= (tptp.c_HOL_OThe @t1321 @t56) (tptp.c_HOL_OThe @t1321 @t4079)))) % 18.94/19.18 (assume @p3060 (forall (@list @t216) (= @t4043 (tptp.hAPP @t4087 (tptp.hAPP (tptp.hAPP @t4086 (tptp.hAPP @t4085 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4031 @t4084 tptp.tc_Int_Oint) (tptp.hAPP @t4042 (tptp.hAPP @t4041 (tptp.hAPP (tptp.hAPP @t3941 @t2233) @t4081)))) (tptp.hAPP (tptp.hAPP @t4083 (tptp.hAPP @t4082 (tptp.hAPP @t4032 (tptp.hAPP (tptp.hAPP @t2256 (tptp.hAPP @t3940 @t3822)) @t2205)))) @t4081)))) (tptp.hAPP @t4032 @t3822)))))) % 18.94/19.18 (assume @p3061 (forall (@list @t97 @t47 @t361 @t38 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t10 @t38 @t361) @t47) @t97)) (tptp.hBOOL (tptp.hAPP @t3957 @t361))))) % 18.94/19.18 (assume @p3062 (forall @t1813 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t1536 @t1537) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t4089) @t4088)))) % 18.94/19.18 (assume @p3063 (forall @t2324 (=> @t4096 (and (=> @t4094 (= @t4092 (tptp.hAPP @t4095 @t4093))) (=> (not @t4094) (= @t4092 (tptp.hAPP @t4091 (tptp.c_Divides_OnegDivAlg @t2205 @t4090)))))))) % 18.94/19.18 (assume @p3064 (forall @t3294 (=> @t3303 (=> @t3301 (tptp.hBOOL (tptp.hAPP @t3945 @t4097)))))) % 18.94/19.18 (assume @p3065 (forall @t3448 (=> @t2689 (=> (tptp.hBOOL (tptp.hAPP @t2192 @t1868)) (= (tptp.c_Divides_OnegDivAlg @t1791 @t1868) @t4098))))) % 18.94/19.18 (assume @p3066 (forall @t3287 (= (tptp.c_Divides_OnegDivAlg @t3916 @t85) (tptp.hAPP @t4095 @t3921)))) % 18.94/19.18 (assume @p3067 (forall @t3294 (and (=> @t4103 @t4104) (=> (not @t4103) @t4100)))) % 18.94/19.18 (assume @p3068 (forall @t3667 (=> @t4110 (and (=> @t4109 (= @t4107 (tptp.hAPP @t4095 @t4108))) (=> (not @t4109) (= @t4107 (tptp.hAPP @t4106 (tptp.c_Divides_OnegDivAlg @t3671 @t4105)))))))) % 18.94/19.18 (assume @p3069 (forall @t3443 (=> @t3301 (and (=> @t4102 @t4104) (=> (not @t4102) @t4100))))) % 18.94/19.18 (assume @p3070 (forall @t3489 (= (tptp.c_Nitpick_Orefl_H @t10 @t124) (forall @t7 @t4116)))) % 18.94/19.18 (assume @p3071 (forall @t2324 (=> @t4096 (and (=> @t4118 (= @t4117 @t4036)) (=> (not @t4118) (= @t4117 (tptp.hAPP @t4091 (tptp.c_Divides_OposDivAlg @t2205 @t4090)))))))) % 18.94/19.18 (assume @p3072 (forall @t3294 (and (=> @t4121 @t4122) (=> (not @t4121) @t4120)))) % 18.94/19.18 (assume @p3073 (forall @t3287 (= (tptp.c_Divides_OposDivAlg @t2188 @t85) @t3993))) % 18.94/19.18 (assume @p3074 (forall @t3294 (=> @t3329 (=> @t3301 (tptp.hBOOL (tptp.hAPP @t3945 @t4119)))))) % 18.94/19.18 (assume @p3075 (forall @t3448 (=> (tptp.hBOOL (tptp.hAPP @t2233 @t1791)) (=> @t3370 (= (tptp.c_Divides_OposDivAlg @t1791 @t1868) @t4098))))) % 18.94/19.18 (assume @p3076 (forall @t3667 (=> @t4110 (and (=> @t4125 (= @t4123 (tptp.hAPP @t3992 @t3671))) (=> (not @t4125) (= @t4123 (tptp.hAPP @t4106 (tptp.c_Divides_OposDivAlg @t3671 @t4105)))))))) % 18.94/19.18 (assume @p3077 (forall @t3443 (=> @t3301 (and (=> @t3334 @t4122) (=> (not @t3334) @t4120))))) % 18.94/19.18 (assume @p3078 (forall @t3294 (and (=> @t3329 (and (=> @t4128 (= @t3944 @t4119)) (=> (not @t4128) (and (=> @t3313 (= @t3944 @t3993)) (=> @t3314 (= @t3944 @t4127)))))) (=> (not @t3329) (and (=> @t3301 (= @t3944 @t4097)) (=> @t4025 (= @t3944 @t4126))))))) % 18.94/19.18 (assume @p3079 (forall @t1813 (=> @t1992 (=> @t1812 (= @t4130 (tptp.hAPP (tptp.hAPP @t4129 @t3391) @t3491)))))) % 18.94/19.18 (assume @p3080 (forall @t2241 (and @t4139 (=> @t3907 (and @t4138 (=> @t4137 (= @t4135 (tptp.hAPP @t4134 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4039 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t2192 @t395)) @t2697)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t2190 @t395) @t2188)) @t3362))) @t4131) @t4132))))))))) % 18.94/19.18 (assume @p3081 (forall @t4141 (= (tptp.hAPP @t4140 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1251 @t150 @t10 @t1) @t47)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1251 @t38 @t10 @t1252) @t47)))) % 18.94/19.18 (assume @p3082 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t2184))) % 18.94/19.18 (assume @p3083 (forall (@list @t97 @t47 @t2 @t10 @t38 @t150) (= (tptp.hAPP @t4140 @t4143) (tptp.hAPP @t3954 @t123)))) % 18.94/19.18 (assume @p3084 (forall @t1921 (= (tptp.c_Divides_Odivmod__nat @t1537 @t1949) @t4145))) % 18.94/19.18 (assume @p3085 (forall @t1852 (=> @t1865 (= @t4130 @t4145)))) % 18.94/19.18 (assume @p3086 (forall (@list @t2082 @t2329) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t3948) (tptp.hAPP @t3947 (tptp.hAPP @t2184 @t2082))))) % 18.94/19.18 (assume @p3087 (forall @t1852 (= @t4130 @t4146))) % 18.94/19.18 (assume @p3088 (forall (@list @t4147 @t85 @t81) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3288 @t3291) @t4147)) (tptp.hBOOL (tptp.hAPP @t3945 (tptp.hAPP tptp.c_Divides_OnegateSnd @t4147)))))) % 18.94/19.18 (assume @p3089 (forall @t2097 (and (=> @t4151 (= @t4150 (tptp.hAPP @t4144 @t561))) (=> (not @t4151) (= @t4150 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4148) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4149 tptp.tc_Nat_Onat) @t4129) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t2102 @t831))))))) % 18.94/19.18 (assume @p3090 (forall @t3448 (= @t4154 (tptp.hAPP (tptp.hAPP @t3946 (tptp.hAPP (tptp.hAPP @t3284 @t4153) @t4152)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t4153 @t4152))))) % 18.94/19.18 (assume @p3091 (forall @t3373 (and (=> @t4155 (= @t4154 (tptp.hAPP @t3992 @t4153))) (=> (not @t4155) (= @t4154 (tptp.c_Divides_OposDivAlg @t4153 @t4152)))))) % 18.94/19.18 (assume @p3092 (forall @t2241 (and @t4139 (=> @t3907 (and @t4138 (=> @t4137 (= @t4135 (tptp.hAPP @t4134 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4039 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t118)) @t4133)) @t4131) @t4132))))))))) % 18.94/19.18 (assume @p3093 (forall @t4027 (=> (tptp.hBOOL (tptp.hAPP @t4158 @t4157)) (=> @t3506 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t3502 @t82) (tptp.hAPP (tptp.hAPP @t4129 (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t3501 @t2329)) (tptp.hAPP (tptp.hAPP @t3374 @t4156) @t82))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4156 @t82)))))))) % 18.94/19.18 (assume @p3094 (forall @t3950 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t81 @t85) @t4157)) (=> (tptp.hBOOL (tptp.hAPP @t1951 @t85)) (=> @t3506 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t81 @t3378) (tptp.hAPP (tptp.hAPP @t4129 (tptp.hAPP (tptp.hAPP @t3374 @t2329) @t82)) @t3505)))))))) % 18.94/19.18 (assume @p3095 (forall @t3326 (=> (tptp.hBOOL (tptp.hAPP @t4165 @t4164)) (and (=> @t4163 (= @t4160 (tptp.hAPP @t4095 @t4162))) (=> (not @t4163) (= @t4160 (tptp.hAPP @t4043 (tptp.c_Divides_OnegDivAlg @t219 @t4159)))))))) % 18.94/19.18 (assume @p3096 (forall (@list @t4166 @t4147 @t1536 @t1537) (=> @t4168 (=> (tptp.hBOOL (tptp.hAPP @t4167 @t4166)) (= @t4147 @t4166))))) % 18.94/19.18 (assume @p3097 (forall @t1852 (tptp.hBOOL (tptp.hAPP @t4167 @t4130)))) % 18.94/19.18 (assume @p3098 (forall (@list @t4147 @t1536 @t1537) (=> @t4168 (= @t4130 @t4147)))) % 18.94/19.18 (assume @p3099 (forall @t1827 (= @t4150 (tptp.c_HOL_OThe @t4148 @t4169)))) % 18.94/19.18 (assume @p3100 (forall @t4171 (=> @t4170 (= @t3484 @t2082)))) % 18.94/19.18 (assume @p3101 (forall @t4171 (=> @t4170 (= @t3381 @t2329)))) % 18.94/19.18 (assume @p3102 (forall @t1852 (tptp.hBOOL (tptp.hAPP @t4167 @t4146)))) % 18.94/19.18 (assume @p3103 (forall @t4020 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t81 @t82) (tptp.hAPP (tptp.hAPP @t4129 @t4017) @t4014))) (=> (tptp.hBOOL (tptp.hAPP @t4158 (tptp.hAPP (tptp.hAPP @t4129 @t4016) @t4013))) (=> @t3506 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t3499 @t82) (tptp.hAPP (tptp.hAPP @t4129 (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP (tptp.hAPP @t1596 @t4017) @t4016)) (tptp.hAPP (tptp.hAPP @t3374 @t4172) @t82))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4172 @t82))))))))) % 18.94/19.18 (assume @p3104 (forall @t3326 (=> (tptp.hBOOL (tptp.hAPP @t4175 @t4164)) (and (=> @t4174 (= @t4173 (tptp.hAPP @t3992 @t219))) (=> (not @t4174) (= @t4173 (tptp.hAPP @t4043 (tptp.c_Divides_OposDivAlg @t219 @t4159)))))))) % 18.94/19.18 (assume @p3105 (forall @t3326 (=> (tptp.hBOOL (tptp.hAPP @t4176 @t4164)) @t4037))) % 18.94/19.18 (assume @p3106 (forall @t4185 (=> (tptp.hBOOL (tptp.hAPP @t4165 @t4184)) (=> (forall @t4070 (=> (tptp.hBOOL (tptp.hAPP @t4165 @t4183)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t2233 (tptp.hAPP (tptp.hAPP @t2201 @t1294) @t1217))) @t4182)) @t4181) @t4180))) @t4178)))) % 18.94/19.18 (assume @p3107 (forall @t4185 (=> (tptp.hBOOL (tptp.hAPP @t4175 @t4184)) (=> (forall @t4070 (=> (tptp.hBOOL (tptp.hAPP @t4175 @t4183)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t1294) @t1217)) @t4182)) @t4181) @t4180))) @t4178)))) % 18.94/19.18 (assume @p3108 (forall @t4189 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4188 @t4186) @t4187)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Wellfounded_Oaccp @t10 @t4187)) (tptp.c_Wellfounded_Oaccp @t10 @t4186)))))) % 18.94/19.18 (assume @p3109 (forall @t2324 (=> @t4193 (= @t4192 (tptp.hAPP @t4191 @t4190))))) % 18.94/19.18 (assume @p3110 (forall (@list @t81 @t64 @t32 @t33 @t10) (=> (= (tptp.hAPP @t4195 (tptp.hAPP (tptp.hAPP @t4194 @t32) @t64)) @t81) (= @t64 @t81)))) % 18.94/19.18 (assume @p3111 (forall (@list @t85 @t81 @t33 @t10) (= (tptp.hAPP @t4195 (tptp.hAPP (tptp.hAPP @t4194 @t81) @t85)) @t85))) % 18.94/19.18 (assume @p3112 (forall (@list @t1504 @t10 @t38) (= @t4197 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t38 @t10 @t10) (tptp.hAPP (tptp.c_COMBK @t1180 @t38) @t744)) @t1504)))) % 18.94/19.18 (assume @p3113 (forall @t4200 (= (tptp.hAPP @t4196 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t150 @t10 @t38 @t2) @t47)) (tptp.hAPP @t2 @t4199)))) % 18.94/19.18 (assume @p3114 (forall (@list @t1 @t47 @t2 @t10 @t38 @t150) (= (= @t4202 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t150 @t38 @t10 @t1) @t47)) (= (tptp.hAPP @t2 @t4201) (tptp.hAPP @t1 @t4201))))) % 18.94/19.18 (assume @p3115 (forall @t3294 (= @t3417 (tptp.hAPP @t4191 @t3944)))) % 18.94/19.18 (assume @p3116 (forall (@list @t219 @t216 @t124 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4203 @t216)) (=> @t4205 @t4204)))) % 18.94/19.18 (assume @p3117 (forall @t4207 (= @t4204 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4206 @t219)) (tptp.hBOOL (tptp.hAPP @t4203 @t3))))))) % 18.94/19.18 (assume @p3118 (forall @t3294 (=> @t3303 (=> @t3301 (= @t3417 (tptp.hAPP @t4191 @t4097)))))) % 18.94/19.18 (assume @p3119 (forall @t3294 (=> @t2334 (=> @t4128 (= @t3417 (tptp.hAPP @t4191 @t4119)))))) % 18.94/19.18 (assume @p3120 (forall @t2324 (=> @t3832 (= @t4192 (tptp.hAPP @t4191 @t4117))))) % 18.94/19.18 (assume @p3121 (forall @t3294 (=> @t2334 (=> @t3332 (= @t3417 (tptp.hAPP @t4191 @t4127)))))) % 18.94/19.18 (assume @p3122 (forall @t3294 (=> @t3303 (=> @t4101 (= @t3417 (tptp.hAPP @t4191 @t4126)))))) % 18.94/19.18 (assume @p3123 (forall @t2370 (=> (tptp.hBOOL (tptp.hAPP @t4211 @t4210)) (and (=> @t4209 (= @t4208 @t47)) (=> (not @t4209) (= @t4208 (tptp.c_Nitpick_Onat__gcd @t97 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t47 @t97)))))))) % 18.94/19.18 (assume @p3124 (forall @t4214 (= (tptp.c_Nat_Onat_Onat__size @t4213) (tptp.hAPP (tptp.hAPP @t1596 (tptp.c_Nat_Onat_Onat__size @t4212)) @t2451)))) % 18.94/19.18 (assume @p3125 (forall (@list @t2 @t97 @t47 @t10) (= (tptp.hBOOL (tptp.hAPP @t4219 @t4217)) @t4215))) % 18.94/19.18 (assume @p3126 (forall @t1852 (= @t3484 (tptp.hAPP @t4220 @t4130)))) % 18.94/19.18 (assume @p3127 (= (tptp.c_Nat_Onat_Onat__size @t1949) @t1949)) % 18.94/19.18 (assume @p3128 (forall @t3489 (= (tptp.c_Relation_Oirrefl @t10 @t124) @t4221))) % 18.94/19.18 (assume @p3129 (forall @t4185 (=> (tptp.hBOOL (tptp.hAPP @t4176 @t4184)) (=> (forall @t4070 (=> (tptp.hBOOL (tptp.hAPP @t4176 @t4183)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t1217) @t2188)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t56 (tptp.hAPP @t2184 @t1294)) (tptp.hAPP @t2184 @t1217)))) @t4180))) @t4178)))) % 18.94/19.18 (assume @p3130 (forall @t2324 (=> @t4193 (= @t4223 (tptp.hAPP @t4222 @t4190))))) % 18.94/19.18 (assume @p3131 (forall (@list @t38 @t10 @t909 @t2608) (= (= @t2608 @t909) (and (= (tptp.hAPP @t4225 @t2608) (tptp.hAPP @t4225 @t909)) (= (tptp.hAPP @t4224 @t2608) (tptp.hAPP @t4224 @t909)))))) % 18.94/19.18 (assume @p3132 (forall (@list @t2329 @t3131 @t10 @t33) (=> (= @t4229 (tptp.hAPP @t4228 @t2329)) (=> (= @t4227 (tptp.hAPP @t4226 @t2329)) (= @t3131 @t2329))))) % 18.94/19.18 (assume @p3133 (forall (@list @t81 @t64 @t32 @t10 @t33) (=> (= (tptp.hAPP @t4228 @t4230) @t81) (= @t32 @t81)))) % 18.94/19.18 (assume @p3134 (forall @t4231 (= (tptp.hAPP @t4228 @t4062) @t81))) % 18.94/19.18 (assume @p3135 (forall (@list @t1504 @t38 @t10) (= @t4232 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t38 @t10) @t1160) @t1504)))) % 18.94/19.18 (assume @p3136 (forall @t4233 (= (tptp.hAPP @t4225 @t4202) (tptp.hAPP (tptp.c_Product__Type_Ofst @t10 @t150) @t47)))) % 18.94/19.18 (assume @p3137 (forall (@list @t3131 @t10 @t33) (= (tptp.hAPP (tptp.hAPP @t4061 @t4229) @t4227) @t3131))) % 18.94/19.18 (assume @p3138 (forall (@list @t10 @t33 @t1834) (= @t1834 (tptp.hAPP (tptp.hAPP @t4061 (tptp.hAPP @t4228 @t1834)) (tptp.hAPP @t4226 @t1834))))) % 18.94/19.18 (assume @p3139 (forall (@list @t1504 @t2 @t10 @t150 @t38) (= (tptp.hAPP @t4073 @t1504) (tptp.hAPP (tptp.hAPP @t2 @t4236) @t4234)))) % 18.94/19.18 (assume @p3140 (forall @t3294 (= @t3295 (tptp.hAPP @t4222 @t3944)))) % 18.94/19.18 (assume @p3141 (forall (@list @t513 @t56 @t10 @t150 @t38) (= (tptp.hAPP (tptp.hAPP @t4072 @t56) @t513) (tptp.hAPP (tptp.hAPP @t56 (tptp.hAPP @t4235 @t513)) (tptp.hAPP @t4198 @t513))))) % 18.94/19.18 (assume @p3142 (forall (@list @t1 @t2 @t1251 @t150 @t38 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t1321 @t38 @t150) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1251 @t2848 @t1321) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t1251 @t1321) @t1) @t4225))) @t4224) (tptp.hAPP @t4028 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1251 @t2848 @t10) @t2) @t1))))) % 18.94/19.18 (assume @p3143 (forall (@list @t1504 @t220 @t10 @t150 @t38) (= (tptp.hAPP (tptp.hAPP @t4072 @t220) @t1504) (tptp.hAPP (tptp.hAPP @t220 @t4236) @t4234)))) % 18.94/19.18 (assume @p3144 (forall (@list @t47 @t1 @t2 @t1251 @t10 @t150 @t38) (= (tptp.hAPP (tptp.hAPP @t4072 (tptp.hAPP (tptp.c_Fun_Ocomp @t1251 @t156 @t38 @t2) @t1)) @t47) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t4235 @t47))) @t4199)))) % 18.94/19.18 (assume @p3145 (forall @t4080 (= (tptp.c_HOL_OThe @t1321 @t4238) (tptp.c_HOL_OThe @t1321 @t4237)))) % 18.94/19.18 (assume @p3146 (forall @t3294 (=> @t3303 (=> @t3301 (= @t3295 (tptp.hAPP @t4222 @t4097)))))) % 18.94/19.18 (assume @p3147 (forall @t3294 (=> @t2334 (=> @t4128 (= @t3295 (tptp.hAPP @t4222 @t4119)))))) % 18.94/19.18 (assume @p3148 (forall @t2324 (=> @t3832 (= @t4223 (tptp.hAPP @t4222 @t4117))))) % 18.94/19.18 (assume @p3149 (forall @t3294 (=> @t2334 (=> @t3332 (= @t3295 (tptp.hAPP @t4222 @t4127)))))) % 18.94/19.18 (assume @p3150 (forall @t3294 (=> @t3303 (=> @t4101 (= @t3295 (tptp.hAPP @t4222 @t4126)))))) % 18.94/19.18 (assume @p3151 (forall (@list @t1504 @t1 @t2 @t38 @t10) (= (tptp.c_Product__Type_Oprod_Oprod__size @t10 @t38 @t2 @t1 @t1504) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t2 @t4232)) (tptp.hAPP @t1 (tptp.hAPP @t4224 @t1504)))) @t2451)))) % 18.94/19.18 (assume @p3152 (forall (@list @t10 @t38 @t47 @t97 @t56) (=> (tptp.hBOOL (tptp.hAPP @t4242 @t47)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t56 (tptp.hAPP @t4196 @t4240)) (tptp.hAPP @t4241 @t4240)))))) % 18.94/19.18 (assume @p3153 (forall (@list @t38 @t10 @t3403 @t53 @t1504 @t56) (=> (tptp.hBOOL (tptp.hAPP @t56 @t1504)) (=> (tptp.hBOOL (tptp.hAPP @t53 @t3403)) (and (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t4225 @t4243))) (tptp.hBOOL (tptp.hAPP @t53 (tptp.hAPP @t4224 @t4243)))))))) % 18.94/19.18 (assume @p3154 (forall @t1852 (= @t3381 (tptp.hAPP @t4244 @t4130)))) % 18.94/19.18 (assume @p3155 (forall (@list @t4245 @t831 @t561) (= (tptp.hBOOL (tptp.hAPP @t4169 @t4245)) (and (= @t561 (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP (tptp.hAPP @t1752 @t4247) @t831)) @t4246)) (=> @t1987 (= @t4247 @t1949)) (=> @t1988 (and (=> @t1952 (and (tptp.hBOOL (tptp.hAPP @t1950 @t4246)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t4246) @t831)))) (=> (not @t1952) (and (tptp.hBOOL (tptp.hAPP @t1822 @t4246)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t4246) @t1949)))))))))) % 18.94/19.18 (assume @p3156 (forall @t2264 (= @t2617 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4148 @t1650) @t4251) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1650) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t1650 @t4250) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4249 (tptp.tc_fun @t1650 @t4250) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t1650 @t1650)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2692 @t4249 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4248 tptp.tc_Nat_Onat) @t2007)) @t1548))) @t1816))))))) % 18.94/19.18 (assume @p3157 (forall @t4185 (=> (tptp.hBOOL (tptp.hAPP @t4211 (tptp.hAPP (tptp.hAPP @t4129 @t4177) @t1099))) (=> (forall @t1131 (=> (tptp.hBOOL (tptp.hAPP @t4211 @t4252)) (=> (=> (not (= @t195 @t1949)) (tptp.hBOOL (tptp.hAPP @t197 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3 @t195)))) (tptp.hBOOL (tptp.hAPP @t313 @t195))))) @t4178)))) % 18.94/19.18 (assume @p3158 (forall (@list @t2 @t124 @t10 @t38) (= @t4264 (tptp.hAPP @t4262 (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4258 @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4260 (tptp.tc_fun @t4258 @t25) @t10) (tptp.c_COMBC @t10 @t4258 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4256 @t4260 @t10) (tptp.hAPP (tptp.c_COMBB @t4254 @t4259 @t10) @t4257)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t42 @t4256) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4255 (tptp.tc_fun @t42 @t4256) @t10) (tptp.c_COMBB @t38 @t4254 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t38 @t4255 @t10) @t4253) @t2))) @t2)))) @t124)))))) % 18.94/19.18 (assume @p3159 (forall @t2370 (= (= @t4265 (tptp.hAPP tptp.c_Int_ORep__Integ @t97)) @t98))) % 18.94/19.18 (assume @p3160 (forall (@list @t2 @t124 @t38 @t97 @t47 @t10) (= (tptp.hBOOL (tptp.hAPP @t4219 @t4264)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4253 @t49) @t123)) @t124))))) % 18.94/19.18 (assume @p3161 (forall @t1327 (= @t4275 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3481 @t3481 @t4271) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3481 @t4274 @t4273) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4272 (tptp.tc_fun @t4274 @t4273) @t3481) (tptp.c_COMBB @t4270 @t4271 @t3481)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4269 @t4272 @t3481) (tptp.c_COMBS @t161 @t4258 @t4267)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4270 @t4269 @t3481) (tptp.hAPP (tptp.c_COMBB @t4258 @t4268 @t161) (tptp.c_Product__Type_OPair @t4258 @t4258))) @t4266)))) @t4266))))) % 18.94/19.18 (assume @p3162 (forall (@list @t216 @t219 @t47 @t124 @t23 @t10) (=> @t4282 (=> (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP (tptp.hAPP @t601 @t4281) @t4280))) @t4279)))) % 18.94/19.18 (assume @p3163 (forall (@list @t219 @t216 @t124 @t23 @t10) (=> @t4282 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t4280) @t4281)) @t4283)))) % 18.94/19.18 (assume @p3164 (forall @t3483 (=> @t4282 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t3479) @t23)))) % 18.94/19.18 (assume @p3165 (forall @t4284 (=> @t4282 (=> @t251 (tptp.hBOOL (tptp.hAPP @t250 @t4281)))))) % 18.94/19.18 (assume @p3166 (forall (@list @t743 @t271 @t124 @t23 @t10) (=> @t4282 (=> @t3535 (=> @t4286 (or @t4285 (= (tptp.hAPP (tptp.hAPP @t601 @t271) @t743) @t749))))))) % 18.94/19.18 (assume @p3167 (forall @t4288 (=> @t4282 (=> @t4279 @t4287)))) % 18.94/19.18 (assume @p3168 (forall @t4292 (=> @t4282 (=> @t3535 (=> @t4286 (=> @t4291 (=> @t4290 (= @t4285 @t4289)))))))) % 18.94/19.18 (assume @p3169 (forall @t4292 (=> @t4282 (=> @t3535 (=> @t4286 (=> @t4291 (=> @t4290 (=> @t4289 @t4285)))))))) % 18.94/19.18 (assume @p3170 (forall @t4294 (=> @t4282 (= @t4289 (and @t4293 @t335 @t333))))) % 18.94/19.18 (assume @p3171 (forall (@list @t23 @t216 @t219 @t124 @t10) (=> @t4287 (=> @t4282 @t4283)))) % 18.94/19.18 (assume @p3172 (forall @t4294 (=> @t4282 (=> @t335 (=> @t333 (= @t4293 @t4289)))))) % 18.94/19.18 (assume @p3173 (forall @t4288 (=> @t4282 (=> @t4279 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t4281) @t4280)))))) % 18.94/19.18 (assume @p3174 (forall @t4294 (=> @t4282 (=> @t335 (=> @t333 (= (= @t3512 (tptp.hAPP (tptp.hAPP @t3478 @t2596) @t124)) @t4289)))))) % 18.94/19.18 (assume @p3175 (forall (@list @t219 @t2 @t38 @t124 @t23 @t10) (=> @t4282 (=> @t4295 (=> @t251 (= (tptp.hAPP (tptp.hAPP @t279 @t4281) @t2) @t903)))))) % 18.94/19.18 (assume @p3176 (forall (@list @t1098 @t1099 @t2 @t150 @t4296 @t4301 @t38 @t4299 @t4302 @t10) (=> @t4305 (=> @t4304 (=> @t4303 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t1099) @t4302)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 @t1098) @t4301)) (= (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4299) (tptp.hAPP @t1300 @t749))) (tptp.hAPP (tptp.hAPP @t4298 (tptp.hAPP @t318 (tptp.hAPP @t4297 (tptp.hAPP (tptp.hAPP @t904 @t1098) @t758)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t1099) @t1098))))))))) % 18.94/19.18 (assume @p3177 (forall @t31 (= (tptp.hBOOL (tptp.hAPP @t4310 @t4306)) (and @t1033 @t1335)))) % 18.94/19.18 (assume @p3178 (forall (@list @t219 @t2 @t4296 @t150 @t38 @t4299 @t23 @t10) (=> (tptp.c_Equiv__Relations_Oequiv @t10 @t23 @t4299) (=> @t4311 (=> @t251 (tptp.c_Equiv__Relations_Ocongruent @t38 @t150 @t4296 @t903)))))) % 18.94/19.18 (assume @p3179 (forall (@list @t4312 @t4314 @t4313 @t4315 @t2 @t4296 @t4299 @t150 @t38 @t10) (=> @t4311 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4111 @t4315) @t4313)) @t4299)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4253 @t4314) @t4312)) @t4296)) (= (tptp.hAPP (tptp.hAPP @t2 @t4315) @t4314) (tptp.hAPP (tptp.hAPP @t2 @t4313) @t4312))))))) % 18.94/19.18 (assume @p3180 (forall (@list @t513 @t97 @t2 @t124 @t38 @t10) (=> @t4318 (=> (tptp.hBOOL (tptp.hAPP @t4317 @t124)) (= @t123 @t1019))))) % 18.94/19.18 (assume @p3181 (forall (@list @t219 @t2 @t150 @t4296 @t4301 @t38 @t4299 @t4302 @t10) (=> @t4305 (=> @t4304 (=> @t4303 (=> (tptp.hBOOL (tptp.hAPP @t289 @t4301)) (tptp.c_Equiv__Relations_Ocongruent @t10 @t256 @t4299 (tptp.hAPP (tptp.hAPP @t4298 (tptp.hAPP @t318 (tptp.hAPP @t4297 @t949))) @t2)))))))) % 18.94/19.18 (assume @p3182 (forall @t658 (= @t4306 (tptp.hAPP (tptp.c_Set_OCollect @t4308) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t25 @t25 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t2909 (tptp.hAPP @t2908 (tptp.hAPP @t2905 @t1024))) @t1291)))))) % 18.94/19.18 (assume @p3183 (forall (@list @t743 @t271 @t2 @t38 @t124 @t23 @t10) (=> @t4282 (=> @t4295 (=> (= @t4321 (tptp.hAPP (tptp.hAPP @t279 @t743) @t2)) (=> @t3535 (=> @t4286 (=> (forall @t7 (=> @t326 (forall @t199 (=> @t3540 (=> @t2435 @t4320))))) @t4285)))))))) % 18.94/19.18 (assume @p3184 (forall (@list @t22 @t4322 @t4323 @t2 @t150 @t4296 @t4301 @t38 @t4299 @t4302 @t10) (=> @t4305 (=> @t4304 (=> @t4303 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t4323) (tptp.hAPP (tptp.hAPP @t3478 @t4302) @t4299))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4326 @t4322) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t38) @t4301) @t4296))) (=> (forall @t170 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t168) @t4302)) (forall (@list @t4325) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 @t4325) @t4301)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4324 (tptp.hAPP (tptp.hAPP @t2 @t168) @t4325)) @t22)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4324 (tptp.hAPP (tptp.hAPP @t4300 @t4323) (tptp.hAPP (tptp.hAPP @t4298 (tptp.hAPP @t318 @t4322)) @t2))) @t22)))))))))) % 18.94/19.18 (assume @p3185 (forall (@list @t22 @t271 @t2 @t38 @t124 @t23 @t10) (=> @t4282 (=> @t4295 (=> @t3535 (=> (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4326 @t5) @t22)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4326 @t4321) @t22)))))))) % 18.94/19.18 (assume @p3186 (forall @t4331 (=> @t4330 (=> @t4329 @t4328)))) % 18.94/19.18 (assume @p3187 (forall @t4334 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t4333) (tptp.hAPP (tptp.hAPP @t1596 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t4332)) @t2451)))) % 18.94/19.18 (assume @p3188 (forall @t4331 (=> @t4215 @t4328))) % 18.94/19.18 (assume @p3189 (forall (@list @t4335 @t4336) (= (= @t4337 (tptp.c_Code__Numeral_OSuc__code__numeral @t4335)) (= @t4336 @t4335)))) % 18.94/19.18 (assume @p3190 (forall (@list @t4338) (not (= @t3897 (tptp.c_Code__Numeral_OSuc__code__numeral @t4338))))) % 18.94/19.18 (assume @p3191 (forall (@list @t4339) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t4339) @t3897)))) % 18.94/19.18 (assume @p3192 (forall @t1821 (= (tptp.hAPP (tptp.hAPP @t3912 (tptp.c_Code__Numeral_OSuc__code__numeral @t1536)) @t3911) @t1536))) % 18.94/19.18 (assume @p3193 (forall @t4334 (= (tptp.hAPP @t4340 @t4333) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t4340 @t4332)) @t2451)))) % 18.94/19.18 (assume @p3194 (forall @t4214 (= (tptp.hAPP @t4341 @t4213) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t4341 @t4212)) @t2451)))) % 18.94/19.18 (assume @p3195 (forall @t4075 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t38 @t150 @t10 @t2780 @t4050) @t4055))) % 18.94/19.18 (assume @p3196 (forall @t1821 (= (tptp.hAPP @t4341 @t1536) @t1536))) % 18.94/19.18 (assume @p3197 (= (tptp.hAPP @t4341 @t1949) @t1949)) % 18.94/19.18 (assume @p3198 (= (tptp.hAPP @t4340 @t3897) @t1949)) % 18.94/19.18 (assume @p3199 (forall (@list @t56 @t2 @t216 @t219 @t38 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3986 @t4343)) (=> (tptp.c_Orderings_Oorder__class_Omono @t1322 @t1322 @t2) (=> (forall @t4070 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3956 @t4069) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t3967 @t4343) @t4342)))) @t4180)) (tptp.hBOOL (tptp.hAPP @t2808 @t216))))))) % 18.94/19.18 (assume @p3200 (forall (@list @t2608 @t124 @t4063 @t4064 @t216 @t219 @t38 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4345 (tptp.hAPP (tptp.hAPP @t4344 @t3985) @t4067)) (tptp.c_Wellfounded_Olex__prod @t10 @t38 @t124 @t2608))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4276 @t4064)) @t124)) (and @t4065 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4253 @t216) @t4063)) @t2608))))))) % 18.94/19.19 (assume @p3201 (forall @t51 (= (tptp.c_Equiv__Relations_Oequiv @t10 @t600 @t23) (tptp.c_Equiv__Relations_Oequivp @t10 (tptp.hAPP @t4351 @t23))))) % 18.94/19.19 (assume @p3202 (forall @t658 (tptp.c_Equiv__Relations_Oequivp @t10 tptp.c_fequal))) % 18.94/19.19 (assume @p3203 (forall @t4357 (= @t4356 (forall @t1131 (= @t4355 @t4354))))) % 18.94/19.19 (assume @p3204 (forall @t4359 (=> @t4356 @t4358))) % 18.94/19.19 (assume @p3205 (forall @t1201 (=> @t4356 @t4360))) % 18.94/19.19 (assume @p3206 (forall @t4362 (=> @t4356 @t4361))) % 18.94/19.19 (assume @p3207 (forall (@list @t10 @t361 @t97 @t4364 @t38 @t47 @t56) (=> @t59 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4253 @t4364) @t97)) @t1199)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4345 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP @t3954 @t4364)) @t3955)) @t4363)))))) % 18.94/19.19 (assume @p3208 (forall @t4370 (= (tptp.hAPP @t4369 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1251 @t38 @t150 @t1) @t47)) (tptp.hAPP (tptp.hAPP @t3953 @t4368) @t4366)))) % 18.94/19.19 (assume @p3209 (forall @t4141 (= (tptp.hAPP @t4140 (tptp.hAPP @t4372 @t47)) (tptp.hAPP (tptp.hAPP @t3953 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t1251 @t150) @t47))) (tptp.hAPP @t2 (tptp.hAPP @t4371 @t47)))))) % 18.94/19.19 (assume @p3210 (forall (@list @t97 @t47 @t2 @t38 @t10 @t150) (= (tptp.hAPP @t4369 (tptp.hAPP (tptp.hAPP @t4373 @t47) @t97)) (tptp.hAPP (tptp.hAPP @t3953 @t49) @t97)))) % 18.94/19.19 (assume @p3211 (forall @t4233 (= (tptp.hAPP @t4225 @t4376) @t4375))) % 18.94/19.19 (assume @p3212 (forall (@list @t1 @t47 @t2 @t38 @t10 @t150) (= (= @t4376 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t150 @t10 @t38 @t1) @t47)) (= @t4375 (tptp.hAPP @t1 @t4374))))) % 18.94/19.19 (assume @p3213 (forall @t4200 (= (tptp.hAPP @t4196 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t150 @t38 @t10 @t2) @t47)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t150 @t10) @t47)))) % 18.94/19.19 (assume @p3214 (forall @t4370 (= (tptp.hAPP @t4369 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t1251 @t150 @t38 @t1) @t47)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t1251 @t10 @t38 (tptp.hAPP (tptp.c_Fun_Ocomp @t150 @t10 @t1251 @t2) @t1)) @t47)))) % 18.94/19.19 (assume @p3215 (forall (@list @t1504 @t1 @t1251 @t2 @t10 @t38 @t150) (= (tptp.hAPP @t4140 (tptp.hAPP @t4372 @t1504)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t1251 @t10 @t38 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t150 @t38 @t1251 @t2) @t1504))))) % 18.94/19.19 (assume @p3216 (forall @t4383 (=> @t4382 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t2608) @t909)) @t4381)))) % 18.94/19.19 (assume @p3217 (forall @t3983 (=> @t3982 (not (forall @t7 (=> @t3980 @t746)))))) % 18.94/19.19 (assume @p3218 (forall (@list @t361 @t2 @t10) (= @t4327 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4384 @t10) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t10 tptp.c_Wellfounded_Oless__than @t361)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 @t4384) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t10 @t4384) @t10) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t10)) @t2)) @t744))))) % 18.94/19.19 (assume @p3219 (= 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))) % 18.94/19.19 (assume @p3220 (forall @t658 (= @t4216 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t10) tptp.c_Wellfounded_Oless__than)))) % 18.94/19.19 (assume @p3221 (forall @t2370 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4385 @t4210) tptp.c_Wellfounded_Oless__than)) @t2166))) % 18.94/19.19 (assume @p3222 (forall @t4383 (=> @t2129 @t4381))) % 18.94/19.19 (assume @p3223 (forall @t4383 (=> @t4382 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2608) @t909)) @t4386)))) % 18.94/19.19 (assume @p3224 (forall @t4401 (=> @t4400 (=> @t4399 (=> (tptp.hBOOL (tptp.hAPP @t4397 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t4396 tptp.c_FunDef_Omin__strict))))))) % 18.94/19.19 (assume @p3225 (forall (@list @t271 @t47 @t743 @t97) (=> (tptp.hBOOL (tptp.hAPP @t4404 @t743)) (=> @t4399 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4395 (tptp.hAPP @t4403 @t743)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4395 (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP @t4402 @t271)) @t743)) tptp.c_FunDef_Omax__strict))))))) % 18.94/19.19 (assume @p3226 (forall (@list @t743) (=> (tptp.hBOOL (tptp.hAPP @t4407 @t743)) (=> (not (= @t743 @t4405)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4395 (tptp.hAPP @t4406 @t743)) tptp.c_FunDef_Omax__strict)))))) % 18.94/19.19 (assume @p3227 (forall @t4409 (=> (not (= @t271 @t4405)) (tptp.hBOOL (tptp.hAPP @t4408 tptp.c_FunDef_Omin__strict))))) % 18.94/19.19 (assume @p3228 (forall @t4383 (=> @t2129 @t4386))) % 18.94/19.19 (assume @p3229 (forall (@list @t4390 @t47 @t4387 @t97) (=> (tptp.hBOOL (tptp.hAPP @t4404 @t4387)) (=> @t4410 (=> (tptp.hBOOL (tptp.hAPP @t4397 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4395 (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP @t4402 @t4390)) @t4387)) tptp.c_FunDef_Omax__weak))))))) % 18.94/19.19 (assume @p3230 (forall @t4401 (=> @t4400 (=> @t4410 (=> (tptp.hBOOL (tptp.hAPP @t4397 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t4396 tptp.c_FunDef_Omin__weak))))))) % 18.94/19.19 (assume @p3231 (forall @t4414 (= (tptp.hAPP @t4411 (tptp.hAPP (tptp.hAPP @t4413 @t4277) @t124)) (tptp.hAPP (tptp.hAPP @t440 @t892) @t4412)))) % 18.94/19.19 (assume @p3232 (forall @t4357 (= (tptp.hAPP @t4411 (tptp.c_Complete__Lattice_OSup__class_OSup @t3481 @t361)) (tptp.c_Complete__Lattice_OSup__class_OSup @t25 (tptp.hAPP (tptp.c_Set_Oimage @t3481 @t25 @t4411) @t361))))) % 18.94/19.19 (assume @p3233 (forall @t658 (= (tptp.hAPP @t4411 @t3538) @t749))) % 18.94/19.19 (assume @p3234 (forall @t4418 (=> @t4417 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t4412) @t4415))))) % 18.94/19.19 (assume @p3235 (forall @t4418 (= (tptp.hAPP @t4411 @t4421) (tptp.hAPP (tptp.hAPP @t440 @t4412) @t4415)))) % 18.94/19.19 (assume @p3236 (forall @t3489 (=> @t4423 (tptp.hBOOL (tptp.hAPP @t1291 @t4412))))) % 18.94/19.19 (assume @p3237 (forall @t4409 (tptp.hBOOL (tptp.hAPP @t4408 tptp.c_FunDef_Omin__weak)))) % 18.94/19.19 (assume @p3238 (forall @t4409 (=> (tptp.hBOOL (tptp.hAPP @t4407 @t271)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4395 (tptp.hAPP @t4406 @t271)) tptp.c_FunDef_Omax__weak))))) % 18.94/19.19 (assume @p3239 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t4426 (tptp.c_Wellfounded_Omin__ext @t4148 tptp.c_FunDef_Opair__leq)) @t4425))) % 18.94/19.19 (assume @p3240 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t4426 (tptp.c_Wellfounded_Omax__ext @t4148 tptp.c_FunDef_Opair__leq)) @t4425))) % 18.94/19.19 (assume @p3241 (forall @t51 (= @t4428 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3481) @t23) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3481 @t3481) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3480 (tptp.tc_fun @t3481 @t3481) @t10) @t4413) @t4427)) @t3538))))) % 18.94/19.19 (assume @p3242 (forall @t51 (= @t4428 (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 tptp.tc_HOL_Obool @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2880 (tptp.tc_fun tptp.tc_HOL_Obool @t25) @t10) (tptp.c_COMBC @t10 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t2881 tptp.c_fequal))) @t23))))) % 18.94/19.19 (assume @p3243 (forall @t658 (= (tptp.c_Relation_OId__on @t10 @t749) @t3538))) % 18.94/19.19 (assume @p3244 (forall @t31 (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4428) @t22) @t603))) % 18.94/19.19 (assume @p3245 (forall @t872 (= (tptp.hBOOL (tptp.hAPP @t4219 @t4428)) (and @t98 @t335)))) % 18.94/19.19 (assume @p3246 (forall @t331 (=> @t330 (=> @t251 (tptp.hBOOL (tptp.hAPP @t4278 @t4428)))))) % 18.94/19.19 (assume @p3247 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t4148 tptp.c_FunDef_Opair__less))) % 18.94/19.19 (assume @p3248 (forall (@list @t523 @t60 @t361 @t22 @t23 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4310 @t4429)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4309 (tptp.hAPP (tptp.hAPP @t4307 @t60) @t523)) @t4429)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4309 (tptp.hAPP (tptp.hAPP @t4307 @t494) (tptp.hAPP @t491 @t523))) @t4429)))))) % 18.94/19.19 (assume @p3249 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t4148 tptp.c_FunDef_Opair__less))) % 18.94/19.19 (assume @p3250 (forall (@list @t4430 @t47 @t361 @t10) (= (tptp.c_Wellfounded_Omax__extp @t10 (tptp.hAPP @t4351 @t361) @t47 @t4430) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4309 (tptp.hAPP (tptp.hAPP @t4307 @t47) @t4430)) @t4429))))) % 18.94/19.19 (assume @p3251 (tptp.c_FunDef_Oreduction__pair @t4391 (tptp.hAPP (tptp.hAPP @t4431 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 18.94/19.19 (assume @p3252 (tptp.c_FunDef_Oreduction__pair @t4391 (tptp.hAPP (tptp.hAPP @t4431 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 18.94/19.19 (assume @p3253 (forall @t2897 (=> @t4432 (tptp.c_FunDef_Oreduction__pair @t38 (tptp.hAPP (tptp.hAPP @t4275 @t56) @t2))))) % 18.94/19.19 (assume @p3254 (forall @t2370 (= (= (tptp.hAPP @t4433 (tptp.hAPP @t4402 @t4405)) (tptp.hAPP @t4433 (tptp.hAPP @t4389 @t4405))) (tptp.hBOOL (tptp.hAPP @t4398 tptp.c_Int_Ointrel))))) % 18.94/19.19 (assume @p3255 (forall @t4438 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4379 (tptp.hAPP (tptp.hAPP @t4377 @t4210) @t4437)) tptp.c_Int_Ointrel)) (= @t4436 @t4434)))) % 18.94/19.19 (assume @p3256 (forall @t267 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 @t220) @t4428)) (not (forall @t7 (=> @t326 (not (= @t220 @t4113)))))))) % 18.94/19.19 (assume @p3257 (tptp.c_Equiv__Relations_Oequiv @t4148 @t4439 tptp.c_Int_Ointrel)) % 18.94/19.19 (assume @p3258 (forall (@list @t1135 @t207 @t10) (=> @t2548 (= (tptp.hAPP @t2701 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4433 (tptp.hAPP (tptp.hAPP @t4388 (tptp.hAPP (tptp.hAPP @t4129 @t207) @t1135)) @t4405)))) (tptp.hAPP (tptp.hAPP @t865 (tptp.hAPP @t1931 @t207)) (tptp.hAPP @t1931 @t1135)))))) % 18.94/19.19 (assume @p3259 (= @t2205 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4433 (tptp.hAPP (tptp.hAPP @t4388 (tptp.hAPP (tptp.hAPP @t4129 @t1599) @t1949)) @t4405))))) % 18.94/19.19 (assume @p3260 (forall @t4438 (= (tptp.hAPP (tptp.hAPP @t2194 @t4443) @t4442) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4433 (tptp.hAPP (tptp.hAPP @t4388 (tptp.hAPP (tptp.hAPP @t4129 (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t4441 @t192)) (tptp.hAPP @t4440 @t1234))) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t4441 @t1234)) (tptp.hAPP @t4440 @t192)))) @t4405)))))) % 18.94/19.19 (assume @p3261 (forall @t2672 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t4265) @t47))) % 18.94/19.19 (assume @p3262 (forall @t2370 (= (tptp.hAPP @t2184 @t4443) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4433 (tptp.hAPP (tptp.hAPP @t4388 (tptp.hAPP (tptp.hAPP @t4129 @t97) @t47)) @t4405)))))) % 18.94/19.19 (assume @p3263 (= @t2188 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4433 (tptp.hAPP (tptp.hAPP @t4388 (tptp.hAPP @t4144 @t1949)) @t4405))))) % 18.94/19.19 (assume @p3264 (forall @t2006 (= @t2183 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4433 (tptp.hAPP (tptp.hAPP @t4388 (tptp.hAPP @t4444 @t1949)) @t4405)))))) % 18.94/19.19 (assume @p3265 (forall @t4438 (= (tptp.hAPP (tptp.hAPP @t2201 @t4443) @t4442) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4433 (tptp.hAPP (tptp.hAPP @t4388 (tptp.hAPP (tptp.hAPP @t4129 (tptp.hAPP @t4435 @t192)) (tptp.hAPP (tptp.hAPP @t1596 @t97) @t1234))) @t4405)))))) % 18.94/19.19 (assume @p3266 (forall @t2370 (= (tptp.hAPP tptp.c_Int_Onat @t4443) @t2222))) % 18.94/19.19 (assume @p3267 (forall @t2264 (= (tptp.hAPP @t2184 @t513) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4148 @t4391) @t4251) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4391) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4447 @t4447 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4391 @t4391 tptp.tc_Nat_Onat) @t4433)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4391 @t4447) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4446 (tptp.tc_fun @t4391 @t4447) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t4391 @t4391)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4149 @t4446 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4148 @t4445 tptp.tc_Nat_Onat) @t4388)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4148) @t4129)))) @t4405)))))))) % 18.94/19.19 (assume @p3268 (forall @t4438 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t4443) @t4442)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t4436) @t4434))))) % 18.94/19.19 (assume @p3269 (forall @t4438 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t4443) @t4442)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t4436) @t4434))))) % 18.94/19.19 (assume @p3270 (forall @t2264 (not (forall @t1131 (not (= @t513 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4433 (tptp.hAPP (tptp.hAPP @t4388 @t4252) @t4405))))))))) % 18.94/19.19 (assume @p3271 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t4148) @t4439) tptp.c_Int_Ointrel))) % 18.94/19.19 (assume @p3272 (forall @t4449 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t10 @t2780 @t2781 @t4337) @t4448))) % 18.94/19.19 (assume @p3273 (forall @t2672 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4450 @t4265) tptp.c_Int_OInteg)))) % 18.94/19.19 (assume @p3274 (forall @t2782 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t10 @t2780 @t2781 @t3897) @t2780))) % 18.94/19.19 (assume @p3275 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t4391 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 18.94/19.19 (assume @p3276 (forall @t4454 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t10 @t4453) @t47)) @t4452))) % 18.94/19.19 (assume @p3277 (forall (@list @t2608 @t124 @t38 @t150 @t10) (= @t4468 (tptp.hAPP @t3934 (tptp.hAPP @t3932 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t257 @t111 @t10) (tptp.hAPP (tptp.c_COMBB @t256 tptp.tc_HOL_Obool @t38) (tptp.c_HOL_OEx @t150))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t257 @t257) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4466 (tptp.tc_fun @t257 @t257) @t10) (tptp.c_COMBB @t256 @t256 @t38)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4465 @t4466 @t10) (tptp.c_COMBS @t150 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t256 @t4465 @t10) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1170 @t150) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4462 @t256) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4464 (tptp.tc_fun @t4462 @t256) @t10) (tptp.c_COMBC @t150 @t4462 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t150 @t4460) @t4464 @t10) (tptp.hAPP (tptp.c_COMBB @t4460 @t4463 @t150) @t4461)) @t4142))) @t124))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 @t4457 @t256) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4459 (tptp.tc_fun @t4457 @t256) @t38) (tptp.c_COMBC @t150 @t4457 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t150 @t4455) @t4459 @t38) (tptp.hAPP (tptp.c_COMBB @t4455 @t4458 @t150) @t4456)) (tptp.hAPP (tptp.c_COMBC @t150 @t38 @t4455) @t4373)))) @t2608)))))))) % 18.94/19.19 (assume @p3278 (forall (@list @t2608 @t220 @t150 @t124 @t216 @t219 @t38 @t10) (=> @t3987 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3998 (tptp.hAPP (tptp.hAPP @t3996 @t216) @t220)) @t2608)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4461 (tptp.hAPP (tptp.hAPP @t4142 @t219) @t220)) @t4470)))))) % 18.94/19.19 (assume @p3279 (forall (@list @t2608 @t124 @t178 @t1251 @t38 @t150 @t10) (= (tptp.hAPP (tptp.hAPP @t4467 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1251 @t4462) @t178) @t124)) @t2608) (tptp.hAPP @t4471 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1251 @t4457 @t1322) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4462 (tptp.tc_fun @t4457 @t1322) @t1251) @t4467) @t124)) @t2608))))) % 18.94/19.19 (assume @p3280 (forall (@list @t124 @t178 @t1251 @t2608 @t38 @t150 @t10) (= (tptp.hAPP @t4472 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1251 @t4457) @t178) @t124)) (tptp.hAPP @t4471 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4457 @t1322 @t1251) @t4472) @t124))))) % 18.94/19.19 (assume @p3281 (forall @t4473 (= (tptp.hAPP (tptp.hAPP @t4467 (tptp.c_Orderings_Obot__class_Obot @t4462)) @t361) @t3952))) % 18.94/19.19 (assume @p3282 (forall @t4473 (= (tptp.hAPP @t4474 (tptp.c_Orderings_Obot__class_Obot @t4457)) @t3952))) % 18.94/19.19 (assume @p3283 (forall (@list @t1572 @t348 @t361 @t38 @t150 @t10) (= (tptp.hAPP @t4474 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4457) @t348) @t1572)) (tptp.hAPP (tptp.hAPP @t3971 (tptp.hAPP @t4474 @t348)) (tptp.hAPP @t4474 @t1572))))) % 18.94/19.19 (assume @p3284 (forall (@list @t361 @t1572 @t348 @t38 @t150 @t10) (= (tptp.hAPP (tptp.hAPP @t4467 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4462) @t348) @t1572)) @t361) (tptp.hAPP (tptp.hAPP @t3971 (tptp.hAPP (tptp.hAPP @t4467 @t348) @t361)) (tptp.hAPP (tptp.hAPP @t4467 @t1572) @t361))))) % 18.94/19.19 (assume @p3285 (forall (@list @t1572 @t348 @t361 @t1251 @t38 @t150 @t10) (= (tptp.hAPP (tptp.hAPP @t4467 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t1251 @t150) @t361) @t348)) @t1572) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t1251 @t38) @t361) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t1251 @t150 @t38) @t348) @t1572))))) % 18.94/19.19 (assume @p3286 (forall (@list @t2608 @t4475 @t150 @t124 @t3528 @t38 @t10) (=> @t3530 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4477 @t4475) @t2608)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4476 (tptp.hAPP (tptp.hAPP @t4469 @t3528) @t4475)) @t4470)))))) % 18.94/19.19 (assume @p3287 (forall @t63 (=> (= (tptp.hAPP @t4479 @t22) @t3538) (=> @t4480 (= (tptp.hAPP @t4479 (tptp.hAPP (tptp.hAPP @t4419 @t22) @t60)) @t3538))))) % 18.94/19.19 (assume @p3288 (forall @t528 (=> @t4480 (=> (= (tptp.hAPP (tptp.hAPP @t4478 @t22) @t60) @t3538) (= (tptp.hAPP (tptp.hAPP @t4478 (tptp.hAPP (tptp.hAPP @t4419 @t23) @t22)) @t60) @t3538))))) % 18.94/19.19 (assume @p3289 (forall @t4189 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 @t4186) @t4187)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Wellfounded_Oacc @t10 @t4187)) (tptp.c_Wellfounded_Oacc @t10 @t4186)))))) % 18.94/19.19 (assume @p3290 (forall (@list @t219 @t124 @t216 @t10) (=> @t4482 (=> @t4279 @t4481)))) % 18.94/19.19 (assume @p3291 (forall @t4484 (= @t4481 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4112 @t219)) @t124)) @t4483))))) % 18.94/19.19 (assume @p3292 (forall @t366 (=> @t4491 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4489 (tptp.hAPP (tptp.hAPP @t4488 @t4429) (tptp.hAPP (tptp.hAPP @t4487 (tptp.c_Wellfounded_Omax__ext @t10 @t348)) @t4486))) @t4429))))) % 18.94/19.19 (assume @p3293 (forall @t366 (=> @t4491 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4489 (tptp.hAPP (tptp.hAPP @t4488 @t4492) (tptp.hAPP (tptp.hAPP @t4487 (tptp.c_Wellfounded_Omin__ext @t10 @t348)) @t4486))) @t4492))))) % 18.94/19.19 (assume @p3294 (forall @t4496 (=> @t4495 (= (tptp.hAPP (tptp.c_Set_Oimage @t38 @t10 @t4493) @t23) @t600)))) % 18.94/19.19 (assume @p3295 (forall @t4496 (=> @t4495 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t38 @t4494) @t600) @t23)))) % 18.94/19.19 (assume @p3296 (forall @t4498 (=> @t4495 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 @t4497) @t23))))) % 18.94/19.19 (assume @p3297 (forall @t4498 (=> @t4495 (= (tptp.hAPP @t4493 @t4497) @t47)))) % 18.94/19.19 (assume @p3298 (forall @t4499 (=> @t4495 (= (= @t4497 (tptp.hAPP @t4494 @t97)) @t98)))) % 18.94/19.19 (assume @p3299 (forall @t4499 (=> @t4495 (=> @t609 (=> @t4501 (= (= (tptp.hAPP @t4493 @t47) @t4500) @t98)))))) % 18.94/19.19 (assume @p3300 (forall (@list @t97 @t23 @t4493 @t4494 @t38 @t10) (=> @t4495 (=> @t4501 (= (tptp.hAPP @t4494 @t4500) @t97))))) % 18.94/19.19 (assume @p3301 (forall (@list @t97 @t47 @t2608 @t124 @t150 @t38 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp @t10 @t38 @t150 @t4502 (tptp.hAPP @t4003 @t2608)) @t47) @t97)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4461 @t4143) @t4470))))) % 18.94/19.19 (assume @p3302 (forall @t366 (=> @t4503 (=> @t4491 (tptp.c_FunDef_Oreduction__pair @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t3481 @t3481) @t361) @t348)))))) % 18.94/19.19 (assume @p3303 (forall (@list @t1098 @t1099 @t361 @t10) (= (tptp.c_Wellfounded_Omax__extp @t10 @t361 @t1099 @t1098) (and @t4509 @t4508 @t4507 (forall @t7 (=> @t4506 (exists @t312 (and @t4505 @t4504)))))))) % 18.94/19.19 (assume @p3304 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 18.94/19.19 (assume @p3305 (forall (@list @t150 @t38 @t10 @t220 @t2608 @t216 @t219 @t124) (=> @t4205 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2608 @t216) @t220)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4510 @t219) @t220)))))) % 18.94/19.19 (assume @p3306 (forall @t658 (tptp.c_Wellfounded_Owf @t10 @t3538))) % 18.94/19.19 (assume @p3307 (forall @t4513 (=> @t4512 (tptp.c_Wellfounded_Owf @t38 @t4511)))) % 18.94/19.19 (assume @p3308 (forall (@list @t4514 @t38 @t4515 @t10) (=> (tptp.c_Wellfounded_Owf @t10 @t4515) (=> (tptp.c_Wellfounded_Owf @t38 @t4514) (tptp.c_Wellfounded_Owf @t1321 (tptp.c_Wellfounded_Olex__prod @t10 @t38 @t4515 @t4514)))))) % 18.94/19.19 (assume @p3309 (forall @t1063 (tptp.c_Wellfounded_Owf @t10 @t4217))) % 18.94/19.19 (assume @p3310 (forall @t4357 (= @t4503 (tptp.c_Wellfounded_Owf @t10 @t4516)))) % 18.94/19.19 (assume @p3311 (forall @t4517 (=> @t4512 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 @t1504) @t124)) (tptp.c_Wellfounded_Owf @t10 @t1504))))) % 18.94/19.19 (assume @p3312 (forall @t3489 (=> @t4512 (tptp.c_Wellfounded_Owf @t25 (tptp.c_Wellfounded_Omin__ext @t10 @t124))))) % 18.94/19.19 (assume @p3313 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t4519 (tptp.hAPP @t4518 @t1754)))) % 18.94/19.19 (assume @p3314 (forall (@list @t1128 @t1099 @t2608 @t124 @t150 @t38 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4510 @t1099) @t1128)) (exists @t1220 (and (tptp.hBOOL (tptp.hAPP @t4520 @t1217)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2608 @t1217) @t1128))))))) % 18.94/19.19 (assume @p3315 (forall @t4522 (=> @t4512 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP (tptp.hAPP @t4521 @t3528) @t124))))) % 18.94/19.19 (assume @p3316 (forall @t4522 (=> @t4512 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4523 @t3528))))) % 18.94/19.19 (assume @p3317 (forall @t658 (tptp.c_Wellfounded_Owf @t25 @t4306))) % 18.94/19.19 (assume @p3318 (forall (@list @t2 @t361 @t10) (=> @t4503 (tptp.c_Wellfounded_Owf @t10 @t4327)))) % 18.94/19.19 (assume @p3319 (tptp.c_Wellfounded_Owf @t4148 tptp.c_FunDef_Opair__less)) % 18.94/19.19 (assume @p3320 (forall @t3489 (=> @t4512 (tptp.c_Wellfounded_Owf @t25 (tptp.c_Wellfounded_Omax__ext @t10 @t124))))) % 18.94/19.19 (assume @p3321 (forall @t4207 (=> @t4512 (not @t4525)))) % 18.94/19.19 (assume @p3322 (forall (@list @t47 @t219 @t124 @t10) (=> @t4512 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4276 @t47)) @t124)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4218 @t219)) @t124))))))) % 18.94/19.19 (assume @p3323 (forall @t3929 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t3931))) % 18.94/19.19 (assume @p3324 (forall @t3929 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t3928))) % 18.94/19.19 (assume @p3325 (forall @t3489 (= @t4512 (forall @t7 @t4483)))) % 18.94/19.19 (assume @p3326 (forall @t4454 (=> @t4512 @t4452))) % 18.94/19.19 (assume @p3327 (forall @t4357 (=> (= @t4516 @t3538) @t4503))) % 18.94/19.19 (assume @p3328 (forall @t366 (= @t4528 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP (tptp.hAPP @t4419 (tptp.hAPP (tptp.hAPP @t4419 @t4516) (tptp.hAPP (tptp.hAPP @t4478 @t348) @t361))) @t348))))) % 18.94/19.19 (assume @p3329 (forall @t3489 (= @t4512 (not (exists @t736 (forall @t456 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4111 (tptp.hAPP @t735 @t3536)) (tptp.hAPP @t735 @t452))) @t124)))))))) % 18.94/19.19 (assume @p3330 (forall (@list @t23 @t361 @t10) (=> @t4503 (=> (tptp.hBOOL (tptp.hAPP @t29 (tptp.hAPP @t4529 @t23))) @t754)))) % 18.94/19.19 (assume @p3331 (forall @t366 (=> @t4503 (=> @t4530 (=> @t4491 @t4528))))) % 18.94/19.19 (assume @p3332 (forall @t658 (=> @t121 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4262 (tptp.hAPP @t4261 @t967)))))) % 18.94/19.19 (assume @p3333 (forall @t172 (= @t4432 (and (tptp.c_Wellfounded_Owf @t10 @t4531) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 (tptp.hAPP (tptp.hAPP @t4478 @t4531) @t4532)) @t4531)))))) % 18.94/19.19 (assume @p3334 (forall (@list @t348 @t361 @t56 @t10) (=> @t4432 (=> (tptp.hBOOL (tptp.hAPP @t4534 @t4531)) (=> (tptp.hBOOL (tptp.hAPP @t4533 @t4532)) (=> @t4530 @t4528)))))) % 18.94/19.19 (assume @p3335 (forall @t3489 (=> @t4512 (tptp.c_Wellfounded_Owf @t4536 @t4535)))) % 18.94/19.19 (assume @p3336 (forall (@list @t10 @t1 @t2 @t56) (=> (forall @t7 (=> @t314 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 (tptp.hAPP @t2 @t4)) @t5)))) (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4262 (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP @t3510 @t2812) (tptp.hAPP @t2893 @t1)))))))) % 18.94/19.19 (assume @p3337 (forall @t4544 (=> @t4543 (=> @t4542 (=> @t4541 (=> (forall @t7 (=> @t4540 (exists @t312 (and @t4539 @t4538)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4309 (tptp.hAPP (tptp.hAPP @t4307 @t271) @t743)) @t4429)))))))) % 18.94/19.19 (assume @p3338 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t4519 (tptp.hAPP @t4518 (tptp.hAPP (tptp.hAPP @t4545 (tptp.hAPP @t2785 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 18.94/19.19 (assume @p3339 (forall @t3489 (=> @t4512 (tptp.c_Wellfounded_Owf @t4536 @t4546)))) % 18.94/19.19 (assume @p3340 (forall @t4549 (=> @t4512 (tptp.c_Wellfounded_Owf @t4536 @t4548)))) % 18.94/19.19 (assume @p3341 (forall @t3489 (= @t4546 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t4551) @t1798) @t4547)))) % 18.94/19.19 (assume @p3342 (forall @t3489 (= (tptp.hAPP @t4547 @t1949) (tptp.c_Orderings_Obot__class_Obot @t4551)))) % 18.94/19.19 (assume @p3343 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 18.94/19.19 (assume @p3344 (forall (@list @t10 @t361 @t38 @t56) (=> (forall @t7 (=> @t314 (tptp.c_Wellfounded_Owf @t38 @t4353))) (tptp.c_Wellfounded_Owf @t1321 @t4363)))) % 18.94/19.19 (assume @p3345 (forall @t819 (= (tptp.c_Nitpick_Ozero__frac @t33) (tptp.c_Nitpick_OAbs__Frac @t33 @t4036)))) % 18.94/19.19 (assume @p3346 (forall @t3976 (= (tptp.hAPP @t4556 @t4555) (tptp.hAPP @t2805 (tptp.hAPP @t4554 @t4552))))) % 18.94/19.19 (assume @p3347 (forall @t4558 (=> @t3987 (tptp.hBOOL (tptp.hAPP @t282 @t4557))))) % 18.94/19.19 (assume @p3348 (forall @t51 (= (tptp.hAPP @t4559 @t4428) @t23))) % 18.94/19.19 (assume @p3349 (forall @t346 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP (tptp.hAPP @t843 @t4561) @t4560)) (tptp.hAPP @t4556 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3533) @t23) @t22)))))) % 18.94/19.19 (assume @p3350 (forall (@list @t348 @t10 @t38) (= (tptp.hAPP @t4556 (tptp.c_Complete__Lattice_OSup__class_OSup @t3533 @t348)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3533 @t25) @t348) @t4556)))) % 18.94/19.19 (assume @p3351 (forall @t4563 (= (tptp.hAPP @t4556 @t4562) @t749))) % 18.94/19.19 (assume @p3352 (forall @t4565 (= (= @t4564 @t749) (= @t124 @t4562)))) % 18.94/19.19 (assume @p3353 (forall @t356 (= (tptp.hAPP @t4556 (tptp.hAPP (tptp.hAPP @t3534 @t23) @t22)) (tptp.hAPP (tptp.hAPP @t440 @t4561) @t4560)))) % 18.94/19.19 (assume @p3354 (forall @t4567 (=> @t4566 (tptp.hBOOL (tptp.hAPP @t1307 @t4557))))) % 18.94/19.19 (assume @p3355 (forall @t3525 (= (tptp.hAPP (tptp.c_Set_Oimage @t3532 @t10 @t4196) @t361) (tptp.hAPP @t4556 @t361)))) % 18.94/19.19 (assume @p3356 (forall @t4568 (= (tptp.hBOOL (tptp.hAPP @t250 @t4564)) (exists @t199 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3979 (tptp.hAPP (tptp.hAPP @t3977 @t195) @t219)) @t124)))))) % 18.94/19.19 (assume @p3357 (forall (@list @t124 @t216 @t219 @t10 @t38) (= (tptp.hAPP @t4556 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3532) @t4010) @t124)) (tptp.hAPP @t833 @t4564)))) % 18.94/19.19 (assume @p3358 (forall @t346 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t4556 (tptp.hAPP (tptp.hAPP @t4569 @t23) @t22))) (tptp.hAPP (tptp.hAPP @t601 @t4561) @t4560))))) % 18.94/19.19 (assume @p3359 (forall @t819 (= (tptp.c_Nitpick_Oone__frac @t33) (tptp.c_Nitpick_OAbs__Frac @t33 (tptp.hAPP (tptp.hAPP @t3946 @t2205) @t2205))))) % 18.94/19.19 (assume @p3360 (forall @t1964 (= (tptp.c_Nitpick_Onumber__of__frac @t33 @t1536) (tptp.c_Nitpick_OAbs__Frac @t33 (tptp.hAPP (tptp.hAPP @t3946 @t1536) @t2205))))) % 18.94/19.19 (assume @p3361 (forall @t726 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t10 @t38 @t4502) @t47)) (tptp.hBOOL (tptp.hAPP @t608 @t4557))))) % 18.94/19.19 (assume @p3362 (forall @t4571 (=> @t4205 (tptp.hBOOL (tptp.hAPP @t4570 @t216))))) % 18.94/19.19 (assume @p3363 (forall (@list @t1098 @t124 @t38 @t10) (= (tptp.hBOOL (tptp.hAPP @t4570 @t1098)) (exists @t1455 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t1294) @t1098)))))) % 18.94/19.19 (assume @p3364 (forall @t411 (= (tptp.hAPP (tptp.hAPP @t4572 @t81) @t85) (tptp.c_Nitpick_OAbs__Frac @t33 (tptp.c_Nitpick_Onorm__frac @t81 @t85))))) % 18.94/19.19 (assume @p3365 (forall (@list @t124 @t38 @t216 @t10) (=> (tptp.hBOOL (tptp.hAPP @t287 @t4564)) (not (forall @t7 (not @t3980)))))) % 18.94/19.19 (assume @p3366 (forall @t4418 (=> @t4512 (=> (tptp.c_Wellfounded_Owf @t10 @t2608) (=> (= (tptp.hAPP (tptp.hAPP @t601 @t4574) (tptp.hAPP @t4559 @t2608)) @t749) (tptp.c_Wellfounded_Owf @t10 @t4421)))))) % 18.94/19.19 (assume @p3367 (forall @t4558 (=> @t3987 @t4577))) % 18.94/19.19 (assume @p3368 (forall @t51 (= (tptp.hAPP @t4573 @t4428) @t23))) % 18.94/19.19 (assume @p3369 (forall @t1327 (= (tptp.hAPP @t4575 @t3952) @t749))) % 18.94/19.19 (assume @p3370 (forall @t4567 (= (= @t4576 @t749) (= @t124 @t3952)))) % 18.94/19.19 (assume @p3371 (forall @t4580 (=> @t4579 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t4576) (tptp.hAPP @t4575 @t2608)))))) % 18.94/19.19 (assume @p3372 (forall @t346 (= (tptp.hAPP @t4575 (tptp.hAPP (tptp.hAPP @t3971 @t23) @t22)) (tptp.hAPP (tptp.hAPP @t440 @t4582) @t4581)))) % 18.94/19.19 (assume @p3373 (forall @t4567 (=> @t4566 (tptp.hBOOL (tptp.hAPP @t1291 @t4576))))) % 18.94/19.19 (assume @p3374 (forall @t4583 (= (tptp.hAPP (tptp.c_Set_Oimage @t1321 @t10 @t4225) @t361) (tptp.hAPP @t4575 @t361)))) % 18.94/19.19 (assume @p3375 (forall @t4568 (= @t4577 (exists @t199 @t4584)))) % 18.94/19.19 (assume @p3376 (forall @t4558 (= (tptp.hAPP @t4575 (tptp.hAPP @t4586 @t124)) (tptp.hAPP @t847 @t4576)))) % 18.94/19.19 (assume @p3377 (forall @t346 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t4575 (tptp.hAPP (tptp.hAPP @t3967 @t23) @t22))) (tptp.hAPP (tptp.hAPP @t601 @t4582) @t4581))))) % 18.94/19.19 (assume @p3378 (forall @t346 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP (tptp.hAPP @t843 @t4582) @t4581)) (tptp.hAPP @t4575 (tptp.hAPP (tptp.hAPP @t4587 @t23) @t22)))))) % 18.94/19.19 (assume @p3379 (forall @t3489 (= @t4412 (tptp.hAPP (tptp.hAPP @t440 @t4574) @t4588)))) % 18.94/19.19 (assume @p3380 (forall (@list @t348 @t38 @t10) (= (tptp.hAPP @t4575 (tptp.c_Complete__Lattice_OSup__class_OSup @t1322 @t348)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1322 @t25) @t348) @t4575)))) % 18.94/19.19 (assume @p3381 (forall @t4080 (= (tptp.hAPP @t4575 @t4342) (tptp.hAPP @t2805 (tptp.hAPP @t4554 @t56))))) % 18.94/19.19 (assume @p3382 (forall @t726 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t10 @t38 @t4502) @t47)) (tptp.hBOOL (tptp.hAPP @t334 @t4576))))) % 18.94/19.19 (assume @p3383 (forall @t4568 (=> @t4577 (not (forall @t199 (not @t4584)))))) % 18.94/19.19 (assume @p3384 (forall (@list @t23 @t1 @t2 @t38 @t10 @t150) (= (tptp.hAPP (tptp.c_Set_Oimage @t150 @t1321 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t150 @t38 @t1321) @t4590) @t1)) @t23) (tptp.hAPP (tptp.hAPP @t4589 @t1264) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t256 @t111 @t10) @t654) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t256 @t256) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t256 @t4466 @t10) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t256)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 @t256 @t10) (tptp.c_Set_Ovimage @t150 @t10 @t2)) @t952))) @t23)))))) % 18.94/19.19 (assume @p3385 (forall @t4571 (=> @t4205 (tptp.hBOOL (tptp.hAPP @t4591 @t219))))) % 18.94/19.19 (assume @p3386 (forall @t284 (=> @t251 (=> @t283 @t4594)))) % 18.94/19.19 (assume @p3387 (forall (@list @t22 @t38 @t10) (= (tptp.hAPP (tptp.hAPP @t4589 @t749) @t22) @t3952))) % 18.94/19.19 (assume @p3388 (forall @t4601 (=> @t4600 (= (= @t4599 @t4597) @t24)))) % 18.94/19.19 (assume @p3389 (forall (@list @t22 @t271 @t38 @t10) (= (tptp.hAPP (tptp.hAPP @t4589 (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t271)) @t22) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t25 @t1322) @t271) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t25 @t3933 @t1322) @t4589) @t22))))) % 18.94/19.19 (assume @p3390 (forall @t346 (= (tptp.hAPP @t4604 @t4603) (tptp.hAPP (tptp.hAPP @t1752 @t2455) @t2496)))) % 18.94/19.19 (assume @p3391 (forall @t1503 (=> @t1502 (= @t1501 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t3994 @t10) @t4073) @t4607))))) % 18.94/19.19 (assume @p3392 (forall @t2011 (= (tptp.hAPP @t4592 (tptp.hAPP @t771 @t758)) @t3952))) % 18.94/19.19 (assume @p3393 (forall @t346 (= (= @t4603 @t3952) (or @t754 @t2668)))) % 18.94/19.19 (assume @p3394 (forall @t2011 (= (tptp.hAPP @t4609 (tptp.hAPP @t4592 @t4608)) (tptp.hAPP (tptp.hAPP @t4589 @t265) @t4608)))) % 18.94/19.19 (assume @p3395 (forall @t2011 (= (tptp.hAPP @t4609 (tptp.hAPP @t4610 @t4611)) (tptp.hAPP @t4610 (tptp.hAPP @t771 @t732))))) % 18.94/19.19 (assume @p3396 (forall @t1503 (=> @t2650 (= (tptp.hAPP (tptp.hAPP @t2952 (tptp.hAPP (tptp.hAPP @t1500 (tptp.hAPP (tptp.hAPP @t1498 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t150 @t10)) @t2)) @t22)) @t23) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t3994 @t10) @t4073) @t4607))))) % 18.94/19.19 (assume @p3397 (forall @t189 (= (tptp.hAPP @t4612 (tptp.hAPP (tptp.hAPP @t4615 @t802) @t22)) (tptp.hAPP (tptp.hAPP @t3971 @t4614) @t4613)))) % 18.94/19.19 (assume @p3398 (forall @t4620 (= (tptp.hAPP (tptp.hAPP @t4589 @t458) @t4616) (tptp.hAPP (tptp.hAPP @t3971 @t4619) @t4618)))) % 18.94/19.19 (assume @p3399 (forall @t4623 (= (tptp.hAPP (tptp.hAPP @t4589 (tptp.hAPP (tptp.hAPP @t440 @t178) @t555)) @t60) (tptp.hAPP (tptp.hAPP @t3971 @t4622) @t4621)))) % 18.94/19.19 (assume @p3400 (forall (@list @t60 @t2608 @t150 @t22 @t23 @t124 @t38 @t10) (=> @t4627 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4477 @t2608) (tptp.hAPP (tptp.hAPP @t4606 @t22) (tptp.hAPP @t4605 @t60)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4476 @t4470) (tptp.hAPP @t4626 (tptp.hAPP @t4624 @t60)))))))) % 18.94/19.19 (assume @p3401 (forall @t356 (= (tptp.hAPP (tptp.c_Set_Oimage @t3532 @t1321 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t38 @t10 @t1321) @t4629)) @t4628) (tptp.hAPP @t4617 @t4611)))) % 18.94/19.19 (assume @p3402 (forall @t1339 (=> @t1292 (=> @t1340 @t4630)))) % 18.94/19.19 (assume @p3403 (forall @t3483 (=> @t4282 @t4634))) % 18.94/19.19 (assume @p3404 (forall @t4623 (= (tptp.hAPP (tptp.hAPP @t4589 (tptp.hAPP (tptp.hAPP @t601 @t178) @t555)) @t60) (tptp.hAPP (tptp.hAPP @t3967 @t4622) @t4621)))) % 18.94/19.19 (assume @p3405 (forall @t4620 (= (tptp.hAPP (tptp.hAPP @t4589 @t603) @t4616) (tptp.hAPP (tptp.hAPP @t3967 @t4619) @t4618)))) % 18.94/19.19 (assume @p3406 (forall @t189 (= (tptp.hAPP @t4612 (tptp.hAPP (tptp.hAPP @t4615 @t808) @t22)) (tptp.hAPP (tptp.hAPP @t3967 @t4614) @t4613)))) % 18.94/19.19 (assume @p3407 (forall @t51 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 @t4428) @t4633)))) % 18.94/19.19 (assume @p3408 (forall @t189 (= (tptp.hAPP @t4612 (tptp.hAPP (tptp.hAPP @t4615 @t960) @t22)) (tptp.hAPP (tptp.hAPP @t4587 @t4614) @t4613)))) % 18.94/19.19 (assume @p3409 (forall @t4620 (= (tptp.hAPP (tptp.hAPP @t4589 @t845) @t4616) (tptp.hAPP (tptp.hAPP @t4587 @t4619) @t4618)))) % 18.94/19.19 (assume @p3410 (forall @t4623 (= (tptp.hAPP (tptp.hAPP @t4589 (tptp.hAPP (tptp.hAPP @t843 @t178) @t555)) @t60) (tptp.hAPP (tptp.hAPP @t4587 @t4622) @t4621)))) % 18.94/19.19 (assume @p3411 (forall (@list @t1099 @t124 @t38 @t10) (= (tptp.hBOOL (tptp.hAPP @t4591 @t1099)) (exists @t170 (tptp.hBOOL (tptp.hAPP @t4520 @t168)))))) % 18.94/19.19 (assume @p3412 (forall @t1327 (= (tptp.hAPP @t4610 @t4608) @t1323))) % 18.94/19.19 (assume @p3413 (forall @t4635 (=> @t4594 (not (=> @t251 (not @t283)))))) % 18.94/19.19 (assume @p3414 (forall @t4635 (=> @t4594 @t283))) % 18.94/19.19 (assume @p3415 (forall @t4635 (=> @t4594 @t251))) % 18.94/19.19 (assume @p3416 (forall @t4635 (= @t4594 (and @t251 @t283)))) % 18.94/19.19 (assume @p3417 (forall (@list @t23 @t47 @t38 @t10) (= (tptp.hAPP @t4604 (tptp.hAPP (tptp.hAPP @t4589 @t873) @t4611)) @t2549))) % 18.94/19.19 (assume @p3418 (forall @t4601 (=> @t4600 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4637 @t4599) @t4597)) (tptp.hBOOL (tptp.hAPP @t4636 @t22)))))) % 18.94/19.19 (assume @p3419 (forall (@list @t60 @t22 @t23 @t124 @t38 @t10) (=> @t4627 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 (tptp.hAPP @t3526 @t60)) @t22))))) % 18.94/19.19 (assume @p3420 (forall @t346 (=> @t4630 (=> @t756 @t1340)))) % 18.94/19.19 (assume @p3421 (forall @t346 (=> @t4630 (=> (not @t2668) @t1292)))) % 18.94/19.19 (assume @p3422 (forall @t4640 (= (tptp.hAPP @t3934 (tptp.hAPP @t3932 (tptp.hAPP (tptp.hAPP @t4615 @t4639) @t53))) (tptp.hAPP @t4638 (tptp.hAPP @t2845 @t53))))) % 18.94/19.19 (assume @p3423 (forall @t4640 (= (tptp.hAPP @t3934 (tptp.hAPP @t3932 (tptp.hAPP (tptp.hAPP @t803 @t4639) @t53))) (tptp.hAPP @t4638 (tptp.hAPP @t771 (tptp.hAPP @t2830 @t53)))))) % 18.94/19.19 (assume @p3424 (forall (@list @t23 @t38 @t10 @t22) (and (=> @t762 (= @t4641 @t758)) (=> @t1364 (= @t4641 @t23))))) % 18.94/19.19 (assume @p3425 (forall (@list @t22 @t38 @t10 @t23) (and (=> @t754 (= @t4642 @t758)) (=> @t756 (= @t4642 @t22))))) % 18.94/19.19 (assume @p3426 (forall (@list @t22 @t216 @t23 @t219 @t38 @t10) (= (tptp.hAPP @t4643 @t4644) (tptp.hAPP @t4586 (tptp.hAPP (tptp.hAPP @t3971 (tptp.hAPP @t4592 @t4644)) (tptp.hAPP @t4643 @t4602)))))) % 18.94/19.19 (assume @p3427 (forall (@list @t271 @t124 @t23 @t10) (=> @t1292 (=> @t4634 (=> @t3535 @t4543))))) % 18.94/19.19 (assume @p3428 (forall (@list @t22 @t23 @t2 @t150 @t38 @t10) (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t3994 @t2) @t4607) (tptp.hAPP (tptp.hAPP @t601 (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t38 (tptp.hAPP (tptp.c_Fun_Ocomp @t3994 @t38 @t10 @t4235) @t2)) @t23)) (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t150 (tptp.hAPP (tptp.c_Fun_Ocomp @t3994 @t150 @t10 @t4198) @t2)) @t22))))) % 18.94/19.19 (assume @p3429 (forall (@list @t1082 @t4645 @t22 @t23 @t38 @t10 @t1251 @t150) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4650 @t1322) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t150 @t1251) @t23) (tptp.hAPP (tptp.c_COMBK @t4649 @t150) @t22))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t150 @t1251 @t1322) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t150 @t4648 @t4647) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4646 (tptp.tc_fun @t4648 @t4647) @t150) (tptp.c_COMBB @t3933 @t1322 @t1251)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 @t4646 @t150) @t4589) @t4645))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 @t3933 @t1251) @t771) @t1082)))) (tptp.hAPP (tptp.hAPP @t4589 (tptp.hAPP @t304 @t4645)) (tptp.hAPP @t771 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1251 @t111) @t22) @t1082)))))) % 18.94/19.19 (assume @p3430 (forall @t346 (= @t4593 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t1322) @t23) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t4653 @t1322) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 (tptp.tc_fun @t4653 @t1322) @t10) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t38 @t1322)) @t22)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t1322 @t4653) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4652 (tptp.tc_fun @t1322 @t4653) @t10) (tptp.c_COMBC @t38 @t1322 @t1322)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3962 @t4652 @t10) (tptp.hAPP (tptp.c_COMBB @t1321 @t4651 @t38) @t4585)) @t3953))) @t3952)))))) % 18.94/19.19 (assume @p3431 (forall @t3483 (=> @t1292 (=> @t4634 (tptp.hBOOL (tptp.hAPP @t1317 @t3479)))))) % 18.94/19.19 (assume @p3432 (forall (@list @t22 @t23 @t1 @t2 @t38 @t10 @t150) (=> (tptp.class_Rings_Osemiring__0 @t150) (=> (tptp.c_Fun_Oinj__on @t1321 @t150 (tptp.hAPP @t4028 @t4655) @t4603) (= (tptp.hAPP (tptp.hAPP @t1451 (tptp.hAPP (tptp.hAPP @t1551 @t2) @t23)) (tptp.hAPP (tptp.hAPP @t1553 @t1) @t22)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t150 @t150) (tptp.c_Fun_Oid @t150)) (tptp.hAPP (tptp.c_Set_OCollect @t150) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 tptp.tc_HOL_Obool @t150) @t2889) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3933 @t25 @t150) @t4554) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t150 @t3933 @t3933) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4660 (tptp.tc_fun @t3933 @t3933) @t150) @t4615) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4659 @t4660 @t150) (tptp.hAPP (tptp.c_COMBB @t4658 @t799 @t10) @t2844)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3933 @t4659 @t150) (tptp.hAPP (tptp.c_COMBB @t111 @t4658 @t10) @t2843)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t150 @t4657 @t3933) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4656 (tptp.tc_fun @t4657 @t3933) @t150) (tptp.c_COMBB @t2848 @t111 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t256 @t4656 @t150) (tptp.c_COMBB @t150 tptp.tc_HOL_Obool @t38)) tptp.c_fequal))) @t4655))))) @t3936)))))))))) % 18.94/19.19 (assume @p3433 (forall (@list @t23 @t178 @t38 @t10) (exists @t736 (and (tptp.c_Fun_Oinj__on @t10 @t3532 @t735 @t188) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4637 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t3532 @t735) @t188)) (tptp.hAPP (tptp.hAPP @t4596 @t178) @t23))))))) % 18.94/19.19 (assume @p3434 (forall (@list @t1 @t22 @t38 @t23 @t10 @t150) (=> @t3039 (=> @t1292 (=> @t1337 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1452 (tptp.hAPP (tptp.hAPP @t2850 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t150 @t2847) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2848 (tptp.tc_fun @t150 @t2847) @t10) @t1453) @t1)) @t4661)) @t22)) @t4661) @t23) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t150 @t1321 @t1451) (tptp.hAPP @t4028 @t1)) @t4661) @t4593))))))) % 18.94/19.19 (assume @p3435 (forall @t51 (tptp.c_Fun_Obij__betw @t10 @t10 @t4662 @t23 @t23))) % 18.94/19.19 (assume @p3436 (forall @t745 (= (tptp.hAPP @t4663 @t743) @t743))) % 18.94/19.19 (assume @p3437 (forall @t4563 (= (tptp.c_Product__Type_Oapsnd @t38 @t38 @t10 @t4665) @t4664))) % 18.94/19.19 (assume @p3438 (forall (@list @t4666 @t33) (= (tptp.hAPP @t4667 @t4666) @t4666))) % 18.94/19.19 (assume @p3439 (forall @t37 (= (tptp.hAPP @t4667 @t32) @t32))) % 18.94/19.19 (assume @p3440 (forall @t51 (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t10 @t4662) @t23) @t23))) % 18.94/19.19 (assume @p3441 (forall @t31 (= (tptp.c_Fun_Obij__betw @t10 @t10 @t4662 @t23 @t22) @t24))) % 18.94/19.19 (assume @p3442 (forall @t51 (tptp.c_Fun_Oinj__on @t10 @t10 @t4662 @t23))) % 18.94/19.19 (assume @p3443 (forall @t1090 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t38 @t10 @t2) @t4662) @t2))) % 18.94/19.19 (assume @p3444 (forall (@list @t1 @t10 @t38) (= (tptp.hAPP @t4668 @t1) @t1))) % 18.94/19.19 (assume @p3445 (forall @t1238 (=> (= @t1237 (tptp.hAPP @t4668 @t220)) @t1236))) % 18.94/19.19 (assume @p3446 (forall @t1327 (= (tptp.c_Product__Type_Oapfst @t10 @t10 @t38 @t4662) @t4664))) % 18.94/19.19 (assume @p3447 (= @t2705 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 18.94/19.19 (assume @p3448 (forall @t658 (= (tptp.hAPP @t4663 @t600) @t600))) % 18.94/19.19 (assume @p3449 (forall @t658 (tptp.c_Fun_Obij__betw @t10 @t10 @t4662 @t600 @t600))) % 18.94/19.19 (assume @p3450 (forall (@list @t1082 @t2 @t38 @t10) (=> @t1366 (= (tptp.hAPP @t1082 @t749) @t4665)))) % 18.94/19.19 (assume @p3451 (forall @t1327 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t38 @t1321) @t3953) @t4664))) % 18.94/19.19 (assume @p3452 (forall @t4669 (=> @t1568 (=> @t1087 (= @t1563 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t38 @t38) @t4665) @t673)))))) % 18.94/19.19 (assume @p3453 (forall @t4669 (=> @t1483 (=> @t1087 (= @t3282 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t38 @t38) @t4665) @t673)))))) % 18.94/19.19 (assume @p3454 (forall @t4670 (=> @t3039 (=> @t1292 (=> @t1337 (= (tptp.hAPP (tptp.hAPP @t3034 (tptp.hAPP (tptp.hAPP @t2850 (tptp.hAPP (tptp.hAPP @t2849 @t3035) @t2)) @t22)) @t23) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t1321 @t150) @t4029) @t4593))))))) % 18.94/19.19 (assume @p3455 (forall @t4670 (=> @t1555 (=> @t1292 (=> @t1337 (= (tptp.hAPP (tptp.hAPP @t1551 (tptp.hAPP @t2851 @t22)) @t23) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1321 @t150) @t4029) @t4593))))))) % 18.94/19.19 (assume @p3456 (forall @t1339 (=> @t1292 (=> @t1337 (= (tptp.hAPP @t4604 @t4593) (tptp.hAPP (tptp.hAPP @t1544 (tptp.hAPP @t2855 @t22)) @t23)))))) % 18.94/19.19 (assume @p3457 (forall @t1339 (=> @t1292 (=> @t1456 (tptp.hBOOL (tptp.hAPP @t1324 @t4593)))))) % 18.94/19.19 (assume @p3458 (forall (@list @t22 @t23 @t220 @t38 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4674 @t4593)) (not (forall @t7 (=> @t326 (forall @t199 (=> (tptp.hBOOL (tptp.hAPP @t4673 @t310)) (not (= @t220 @t4672)))))))))) % 18.94/19.19 (assume @p3459 (forall (@list @t1 @t150 @t1251 @t2 @t10 @t38) (=> @t733 (=> (= (tptp.hAPP @t4677 (tptp.c_Orderings_Otop__class_Otop @t4649)) @t1263) (= (tptp.hAPP @t4676 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4675 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t4462)))))) % 18.94/19.19 (assume @p3460 (forall (@list @t1 @t2 @t1251 @t150 @t361 @t216 @t219 @t38 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3986 @t361)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4681 (tptp.hAPP (tptp.hAPP @t4680 @t903) @t4679)) (tptp.hAPP (tptp.c_Set_Oimage @t1321 @t4650 @t4678) @t361)))))) % 18.94/19.19 (assume @p3461 (forall (@list @t216 @t219 @t1 @t2 @t38 @t1251 @t10 @t150) (= (tptp.hAPP @t4682 (tptp.hAPP (tptp.hAPP @t4680 @t219) @t216)) (tptp.hAPP (tptp.hAPP @t3953 @t903) @t4679)))) % 18.94/19.19 (assume @p3462 (forall (@list @t513 @t38 @t10) (= (tptp.hAPP @t4683 @t513) @t513))) % 18.94/19.19 (assume @p3463 (forall (@list @t47 @t1 @t2 @t1251 @t150 @t10 @t38) (= (tptp.hAPP @t4196 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t150 @t38 @t1251 @t10 @t2 @t1) @t47)) @t4366))) % 18.94/19.19 (assume @p3464 (forall (@list @t47 @t1 @t2 @t1251 @t150 @t38 @t10) (= (tptp.hAPP @t4225 (tptp.hAPP @t4682 @t47)) @t4368))) % 18.94/19.19 (assume @p3465 (forall (@list @t1 @t2 @t38 @t10 @t1251 @t150) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4650 @t150 @t1321 @t4367) @t4678) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t150 @t1321 @t2) @t4225)))) % 18.94/19.19 (assume @p3466 (forall (@list @t1 @t2 @t38 @t10 @t150 @t1251) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4684 @t150 @t1321 @t4371) (tptp.c_Product__Type_Omap__pair @t10 @t1251 @t38 @t150 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t150 @t1321 @t1) @t4224)))) % 18.94/19.19 (assume @p3467 (forall (@list @t207 @t1104 @t1 @t2 @t38 @t10 @t1251 @t150 @t1384 @t1385) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4685 @t4650 @t1321 (tptp.c_Product__Type_Omap__pair @t1385 @t150 @t1384 @t1251 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t10 @t1385 @t38 @t1384 @t1104 @t207)) (tptp.c_Product__Type_Omap__pair @t10 @t150 @t38 @t1251 (tptp.hAPP (tptp.c_Fun_Ocomp @t1385 @t150 @t10 @t2) @t1104) (tptp.hAPP (tptp.c_Fun_Ocomp @t1384 @t1251 @t38 @t1) @t207))))) % 18.94/19.19 (assume @p3468 (forall (@list @t4686 @t4687 @t1384 @t2781 @t2780 @t1385 @t1251 @t38 @t150 @t10) (= (tptp.c_Product__Type_Omap__pair @t10 @t150 @t38 @t1251 (tptp.hAPP (tptp.c_Fun_Ocomp @t1385 @t150 @t10 @t2780) @t2781) (tptp.hAPP (tptp.c_Fun_Ocomp @t1384 @t1251 @t38 @t4687) @t4686)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4685 @t4650 @t1321 (tptp.c_Product__Type_Omap__pair @t1385 @t150 @t1384 @t1251 @t2780 @t4687)) (tptp.c_Product__Type_Omap__pair @t10 @t1385 @t38 @t1384 @t2781 @t4686))))) % 18.94/19.19 (assume @p3469 (forall (@list @t4688 @t207 @t1104 @t1384 @t1385 @t1 @t2 @t38 @t1251 @t10 @t150) (= (tptp.hAPP @t4682 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t1385 @t150 @t1384 @t1251 @t1104 @t207) @t4688)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t1385 @t10 @t1384 @t38 (tptp.hAPP (tptp.c_Fun_Ocomp @t150 @t10 @t1385 @t2) @t1104) (tptp.hAPP (tptp.c_Fun_Ocomp @t1251 @t38 @t1384 @t1) @t207)) @t4688)))) % 18.94/19.19 (assume @p3470 (forall @t1327 (= @t4683 @t4664))) % 18.94/19.19 (assume @p3471 (forall (@list @t2 @t10 @t150 @t38) (= (tptp.c_Product__Type_Oapsnd @t38 @t150 @t10 @t2) (tptp.c_Product__Type_Omap__pair @t10 @t10 @t38 @t150 @t4662 @t2)))) % 18.94/19.19 (assume @p3472 (forall (@list @t2 @t38 @t150 @t10) (= (tptp.c_Product__Type_Oapfst @t10 @t150 @t38 @t2) (tptp.c_Product__Type_Omap__pair @t10 @t150 @t38 @t38 @t2 @t4665)))) % 18.94/19.19 (assume @p3473 (forall @t1327 (= (tptp.c_Product__Type_Omap__pair @t10 @t10 @t38 @t38 @t4662 @t4665) @t4664))) % 18.94/19.19 (assume @p3474 (forall (@list @t1 @t2 @t1251 @t38 @t150 @t10) (= @t4678 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t38 @t4650) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4691 @t4690) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4689 (tptp.tc_fun @t4691 @t4690) @t10) (tptp.c_COMBB @t1251 @t4650 @t38)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t150 @t4689 @t10) @t4680) @t2))) @t1))))) % 18.94/19.19 (assume @p3475 (forall (@list @t1272 @t22 @t1 @t150 @t1251 @t1118 @t23 @t2 @t10 @t38) (=> @t4692 (=> (= (tptp.hAPP @t4677 @t22) @t1272) (= (tptp.hAPP @t4676 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t38 @t1251) @t23) (tptp.hAPP (tptp.c_COMBK @t4649 @t38) @t22))) (tptp.hAPP (tptp.hAPP @t4625 @t1118) (tptp.hAPP @t4624 @t1272))))))) % 18.94/19.19 (assume @p3476 (forall @t4513 (=> @t4512 (=> @t1092 (tptp.c_Wellfounded_Owf @t38 (tptp.hAPP (tptp.c_Set_Oimage @t3480 @t4254 (tptp.c_Product__Type_Omap__pair @t10 @t38 @t10 @t38 @t2 @t2)) @t124)))))) % 18.94/19.19 (assume @p3477 (forall (@list @t22 @t1 @t1251 @t150 @t23 @t2 @t38 @t10) (=> @t1088 (=> (tptp.c_Fun_Oinj__on @t150 @t1251 @t1 @t22) (tptp.c_Fun_Oinj__on @t4460 @t4675 (tptp.c_Product__Type_Omap__pair @t10 @t38 @t150 @t1251 @t2 @t1) (tptp.hAPP @t4626 (tptp.hAPP @t4624 @t22))))))) % 18.94/19.19 (assume @p3478 (forall (@list @t361 @t1 @t2 @t1251 @t150 @t220 @t38 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4674 (tptp.hAPP (tptp.c_Set_Oimage @t4650 @t1321 @t4682) @t361))) (not (forall @t1131 (=> (= @t220 (tptp.hAPP (tptp.hAPP @t3953 @t5) (tptp.hAPP @t1 @t195))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4681 (tptp.hAPP (tptp.hAPP @t4680 @t3) @t195)) @t361))))))))) % 18.94/19.19 (assume @p3479 (forall @t3483 (= @t4694 (and @t4634 @t4693)))) % 18.94/19.19 (assume @p3480 (forall @t3489 (= @t4696 (tptp.c_Wellfounded_Owf @t10 @t4695)))) % 18.94/19.19 (assume @p3481 (forall @t658 (tptp.c_Wellfounded_OwfP @t10 (tptp.hAPP @t4631 @t2822)))) % 18.94/19.19 (assume @p3482 (forall @t51 (tptp.c_Relation_Orefl__on @t10 @t23 @t4428))) % 18.94/19.19 (assume @p3483 (forall @t4454 (=> @t4696 (tptp.hBOOL (tptp.hAPP @t4203 @t47))))) % 18.94/19.19 (assume @p3484 (forall @t3489 (= @t4696 (forall @t170 (tptp.hBOOL (tptp.hAPP @t4203 @t168)))))) % 18.94/19.19 (assume @p3485 (forall @t4517 (=> @t4696 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4188 @t1504) @t124)) (tptp.c_Wellfounded_OwfP @t10 @t1504))))) % 18.94/19.19 (assume @p3486 (forall @t658 (tptp.c_Relation_Orefl__on @t10 @t749 @t3538))) % 18.94/19.19 (assume @p3487 (forall @t4698 (=> @t4694 (=> @t4697 (tptp.c_Relation_Orefl__on @t10 @t458 @t4421))))) % 18.94/19.19 (assume @p3488 (forall @t4698 (=> @t4694 (=> @t4697 (tptp.c_Relation_Orefl__on @t10 @t603 @t4699))))) % 18.94/19.19 (assume @p3489 (forall @t4294 (=> @t4694 (=> @t4289 @t333)))) % 18.94/19.19 (assume @p3490 (forall @t4294 (=> @t4694 (=> @t4289 @t335)))) % 18.94/19.19 (assume @p3491 (forall @t4284 (=> @t4694 (=> @t251 @t4525)))) % 18.94/19.19 (assume @p3492 (forall @t4357 (=> @t4503 (tptp.c_Wellfounded_OwfP @t10 (tptp.c_FunDef_Oin__rel @t10 @t10 @t361))))) % 18.94/19.19 (assume @p3493 (forall @t3489 (= (tptp.c_Wellfounded_OwfP @t10 @t4453) @t4512))) % 18.94/19.19 (assume @p3494 (forall @t3489 (= @t4700 (tptp.c_Relation_Orefl__on @t10 @t600 @t4695)))) % 18.94/19.19 (assume @p3495 (forall @t4701 (=> @t4634 (=> @t4693 @t4694)))) % 18.94/19.19 (assume @p3496 (forall @t3489 (=> @t4696 @t4702))) % 18.94/19.19 (assume @p3497 (forall @t4454 (=> @t4700 (tptp.hBOOL (tptp.hAPP @t4703 @t47))))) % 18.94/19.19 (assume @p3498 (forall @t4705 (=> (tptp.c_Wellfounded_Oacyclic @t10 @t2608) (=> @t4417 @t4704)))) % 18.94/19.19 (assume @p3499 (forall @t3489 (=> @t4512 @t4704))) % 18.94/19.19 (assume @p3500 (forall @t3489 (=> @t4423 (= @t4512 @t4704)))) % 18.94/19.19 (assume @p3501 (forall @t3489 (=> @t4423 (=> @t4704 @t4512)))) % 18.94/19.19 (assume @p3502 (forall @t3489 (= (tptp.c_Nitpick_Owf_H @t10 @t124) (and @t4704 (or @t4423 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 18.94/19.19 (assume @p3503 (forall @t4709 (=> @t4708 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t56 @t4707))) @t4706)))) % 18.94/19.19 (assume @p3504 (forall @t4710 (=> @t4708 (not (forall @t7 (not (= @t97 @t4707))))))) % 18.94/19.19 (assume @p3505 (forall @t3483 (= @t4694 (and (forall @t7 (=> @t4712 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4261 (tptp.hAPP @t2874 @t375)) @t3)))) @t4693)))) % 18.94/19.19 (assume @p3506 (forall @t4715 (=> (forall @t199 (=> @t4714 (tptp.hBOOL (tptp.hAPP @t56 @t4713)))) @t59))) % 18.94/19.19 (assume @p3507 (forall @t2672 (not (forall @t199 (=> (= @t47 @t4713) (not @t4714)))))) % 18.94/19.19 (assume @p3508 (forall @t31 (= (tptp.hBOOL (tptp.hAPP @t108 @t22)) (forall @t7 (=> @t488 @t4716))))) % 18.94/19.19 (assume @p3509 (forall @t658 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t10)))) % 18.94/19.19 (assume @p3510 (forall (@list @t56 @t10 @t3) (=> @t4717 @t314))) % 18.94/19.19 (assume @p3511 (forall (@list @t56 @t23 @t38 @t10) (= (tptp.hAPP @t2805 (tptp.hAPP @t4720 (tptp.hAPP @t4719 @t56))) (tptp.hAPP @t291 (tptp.hAPP @t2841 (tptp.hAPP @t1141 @t56)))))) % 18.94/19.19 (assume @p3512 (forall (@list @t2 @t124 @t38 @t10) (= @t4318 (forall @t7 (=> @t4712 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t42 @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 @t2894 @t10) @t2829) @t1140)) @t2)) @t3))))))) % 18.94/19.19 (assume @p3513 (forall @t356 (= @t292 (tptp.hAPP @t2805 (tptp.hAPP @t4720 (tptp.hAPP @t4719 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t300 @t111) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t109 @t4721 @t10) @t2895) @t210)) @t22))))))) % 18.94/19.19 (assume @p3514 (forall @t51 (=> @t157 (= @t371 (tptp.c_Complete__Lattice_OSup__class_OSup @t10 (tptp.hAPP @t2805 (tptp.hAPP @t4723 (tptp.hAPP @t4722 @t99)))))))) % 18.94/19.19 (assume @p3515 (forall @t51 (=> @t157 (= @t370 (tptp.c_Complete__Lattice_OInf__class_OInf @t10 (tptp.hAPP @t2805 (tptp.hAPP @t4723 (tptp.hAPP @t4722 @t3071)))))))) % 18.94/19.19 (assume @p3516 (forall (@list @t10 @t124 @t38) (=> (forall @t456 (tptp.c_Wellfounded_OwfP @t38 @t4725)) (=> (forall @t3396 (=> (not (= @t4725 @t4724)) (= (tptp.hAPP (tptp.hAPP @t649 (tptp.c_Predicate_ODomainP @t38 @t38 @t4725)) (tptp.c_Predicate_ORangeP @t38 @t38 @t4724)) @t758))) (tptp.c_Wellfounded_OwfP @t38 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 (tptp.tc_fun @t38 @t111)) @t600) @t124)))))) % 18.94/19.19 (assume @p3517 (forall (@list @t1504 @t220 @t150 @t38 @t513 @t10) (=> (tptp.hBOOL (tptp.hAPP @t662 (tptp.hAPP @t4051 @t1504))) (not (forall @t1131 (=> (= @t1504 (tptp.hAPP (tptp.hAPP @t3996 @t3) @t195)) (not (tptp.hBOOL (tptp.hAPP @t662 (tptp.hAPP (tptp.hAPP @t220 @t3) @t195)))))))))) % 18.94/19.19 (assume @p3518 (forall (@list @t220 @t513 @t150 @t38 @t10 @t1504) (=> (forall @t4070 (=> (= @t1504 @t4069) (tptp.hBOOL (tptp.hAPP @t4726 (tptp.hAPP (tptp.hAPP @t220 @t1294) @t1217))))) (tptp.hBOOL (tptp.hAPP @t4726 (tptp.hAPP (tptp.hAPP @t4057 @t220) @t1504)))))) % 18.94/19.19 (assume @p3519 (forall @t51 (= @t204 (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t4729 (tptp.c_HOL_OAll @t25)) (tptp.hAPP (tptp.hAPP @t4728 (tptp.hAPP @t2906 (tptp.hAPP (tptp.hAPP @t2902 tptp.c_fimplies) @t4727))) @t210)))))) % 18.94/19.19 (assume @p3520 (forall @t4080 (= (tptp.c_Hilbert__Choice_OEps @t1321 @t4238) (tptp.c_Hilbert__Choice_OEps @t1321 @t4237)))) % 18.94/19.19 (assume @p3521 (forall @t4357 (=> (forall @t1147 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t1146) (tptp.hAPP @t4529 @t1146))) (= @t1146 @t749))) @t4503))) % 18.94/19.19 (assume @p3522 (forall (@list @t523 @t22 @t38 @t60 @t23 @t10) (=> @t61 (=> (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t450 @t598)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3529 @t4593) (tptp.hAPP (tptp.hAPP @t4589 @t60) @t523))))))) % 18.94/19.19 (assume @p3523 (forall @t597 (= (tptp.c_Hilbert__Choice_OEps @t10 @t1194) @t47))) % 18.94/19.19 (assume @p3524 (forall @t597 (= (tptp.c_Hilbert__Choice_OEps @t10 @t4730) @t47))) % 18.94/19.19 (assume @p3525 (forall @t4733 (= @t4732 @t174))) % 18.94/19.19 (assume @p3526 (forall @t4733 (=> @t174 @t4732))) % 18.94/19.19 (assume @p3527 (forall (@list @t10 @t47 @t56) (=> @t59 @t4732))) % 18.94/19.19 (assume @p3528 (forall (@list @t10 @t4734) (=> (exists @t7 (tptp.hBOOL (tptp.hAPP @t4734 @t3))) (tptp.hBOOL (tptp.hAPP @t4734 (tptp.c_Hilbert__Choice_OEps @t10 @t4734)))))) % 18.94/19.19 (assume @p3529 (forall (@list @t10 @t220 @t56) (=> @t174 (=> (= @t220 @t4731) (tptp.hBOOL (tptp.hAPP @t56 @t220)))))) % 18.94/19.19 (assume @p3530 (forall @t4080 (= (tptp.c_Hilbert__Choice_OEps @t1321 @t56) (tptp.c_Hilbert__Choice_OEps @t1321 @t4079)))) % 18.94/19.19 (assume @p3531 (forall @t3959 (= (tptp.c_Hilbert__Choice_OEps @t1321 @t4078) @t3955))) % 18.94/19.19 (assume @p3532 (forall @t3513 (=> (forall @t199 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4735 @t47)) @t124)) (tptp.hBOOL (tptp.hAPP @t2437 @t4451)))) @t4452))) % 18.94/19.19 (assume @p3533 (forall @t4738 (=> (not (tptp.hBOOL (tptp.hAPP @t334 @t4736))) (not (forall @t2861 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4737 @t47)) @t361)) (tptp.hBOOL (tptp.hAPP @t2860 @t4736)))))))) % 18.94/19.19 (assume @p3534 (forall (@list @t361 @t1098 @t1099 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4309 (tptp.hAPP (tptp.hAPP @t4307 @t1099) @t1098)) @t4429)) (and @t4509 @t4508 @t4507 (forall @t7 (=> @t4506 (exists @t312 (and @t4505 @t4538)))))))) % 18.94/19.19 (assume @p3535 (forall (@list @t2 @t124 @t10) (=> @t4512 (not (forall @t1885 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4111 (tptp.hAPP @t2 @t4739)) (tptp.hAPP @t2 @t1883))) @t124))))))) % 18.94/19.19 (assume @p3536 (forall @t3040 (=> @t1555 (=> @t1088 (=> @t3038 (=> (forall @t1455 (=> @t1441 (= (tptp.hAPP @t1 @t1294) (tptp.hAPP @t1104 (tptp.hAPP @t2 @t1294))))) (= (tptp.hAPP @t1554 @t22) (tptp.hAPP (tptp.hAPP @t1551 @t1) @t23)))))))) % 18.94/19.19 (assume @p3537 (forall @t4741 (= @t4740 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t4367 @t49)) (tptp.hAPP @t4365 @t49))))) % 18.94/19.19 (assume @p3538 (forall (@list @t47 @t150 @t38 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t38 @t150 @t3994) @t47) @t3996) @t47))) % 18.94/19.19 (assume @p3539 (forall (@list @t2 @t47 @t38 @t150 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t150 @t10 @t38) (tptp.hAPP (tptp.c_Product__Type_OPair @t150 @t10) @t47)) @t2) @t49))) % 18.94/19.19 (assume @p3540 (forall (@list @t1104 @t1 @t2 @t1384 @t1385 @t38 @t1251 @t150 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t150 @t1251 @t38) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t1385 @t1384 @t4650) @t2) @t1)) @t1104) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t1385 @t1384 @t38) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1385 @t4744 @t4742) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t1384 @t4650) (tptp.tc_fun @t4744 @t4742) @t1385) (tptp.c_Product__Type_Oscomp @t1384 @t150 @t1251 @t38)) @t1)) @t1104))))) % 18.94/19.19 (assume @p3541 (forall @t4741 (= @t4740 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t150 @t1251 @t10) @t1) @t49)))) % 18.94/19.19 (assume @p3542 (forall @t4749 (and (=> @t4747 (= @t4746 @t4239)) (=> @t4748 (= @t4746 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t38 @t10 @t3532) @t49) (tptp.c_Random_Oiterate @t38 @t10 @t4745 @t2))))))) % 18.94/19.19 (assume @p3543 (forall (@list @t1 @t2 @t215 @t216 @t220 @t219 @t10 @t38) (=> (and @t1568 @t388) (=> @t889 (=> @t888 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t221 @t3)) (=> (tptp.hBOOL (tptp.hAPP @t1050 @t215)) @t6))) (= (tptp.hAPP @t1486 @t226) (tptp.hAPP @t1566 @t225)))))))) % 18.94/19.19 (assume @p3544 (forall (@list @t1767 @t85) (and (=> @t4755 (= @t4751 @t3911)) (=> (not @t4755) (= @t4751 (tptp.hAPP (tptp.hAPP @t4750 @t3911) (tptp.c_Random_Olog @t85 (tptp.hAPP (tptp.hAPP @t3894 @t1767) @t85)))))))) % 18.94/19.19 (assume @p3545 (forall (@list @t2082 @t1868 @t1791) (and (=> @t4757 (= @t4756 (tptp.hAPP (tptp.hAPP @t3912 (tptp.hAPP (tptp.hAPP @t4750 @t2082) @t1791)) @t1868))) (=> @t4758 (= @t4756 (tptp.hAPP (tptp.hAPP @t3912 @t1791) @t1868)))))) % 18.94/19.19 (assume @p3546 (forall (@list @t1791 @t2151) (and (=> @t4760 (= @t4759 @t3911)) (=> (not @t4760) (= @t4759 (tptp.hAPP (tptp.hAPP @t4750 @t1791) @t3911)))))) % 18.94/19.19 (assume @p3547 (forall (@list @t1835 @t1791) (=> (tptp.hBOOL (tptp.hAPP @t4762 @t1791)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4752 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t4761) (tptp.hAPP (tptp.c_Random_Orange @t1791) @t1835))) @t1791))))) % 18.94/19.19 (assume @p3548 (forall @t1827 (= (tptp.hBOOL (tptp.hAPP @t4764 @t4763)) @t1824))) % 18.94/19.19 (assume @p3549 (forall (@list @t118 @t2 @t831 @t561) (=> (forall @t456 (=> (and @t4765 @t2779) @t2777)) (=> @t1824 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t1942) @t118)) (=> @t2775 (exists @t456 (and @t4765 @t2773 @t2772)))))))) % 18.94/19.19 (assume @p3550 (forall @t3489 (=> @t4512 @t4767))) % 18.94/19.19 (assume @p3551 (= tptp.c_Wellfounded_Oless__than @t4763)) % 18.94/19.19 (assume @p3552 (forall @t3489 (= @t4704 @t4768))) % 18.94/19.19 (assume @p3553 (forall @t4414 (=> @t4279 @t4769))) % 18.94/19.19 (assume @p3554 (forall @t3489 (tptp.hBOOL (tptp.hAPP @t4770 (tptp.hAPP (tptp.hAPP @t4632 @t4412) (tptp.hAPP @t4631 @t4412)))))) % 18.94/19.19 (assume @p3555 (forall @t4774 (=> @t4773 @t4772))) % 18.94/19.19 (assume @p3556 (forall @t658 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t3538) @t3538))) % 18.94/19.19 (assume @p3557 (forall @t3489 (= (tptp.hAPP @t4573 @t4766) @t4574))) % 18.94/19.19 (assume @p3558 (forall @t3489 (= (tptp.hAPP @t4559 @t4766) @t4588))) % 18.94/19.19 (assume @p3559 (forall @t3489 (= (tptp.hBOOL (tptp.hAPP @t4422 @t4766)) @t4423))) % 18.94/19.19 (assume @p3560 (forall @t4780 (=> @t4769 @t4779))) % 18.94/19.19 (assume @p3561 (forall @t4780 (=> @t4769 @t4782))) % 18.94/19.19 (assume @p3562 (forall @t4780 (=> @t4279 @t4779))) % 18.94/19.19 (assume @p3563 (forall (@list @t220 @t361 @t216 @t219 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4278 @t361)) (=> (tptp.hBOOL (tptp.hAPP @t4778 @t361)) (tptp.hBOOL (tptp.hAPP @t4775 @t4783)))))) % 18.94/19.19 (assume @p3564 (forall (@list @t2608 @t124 @t1504 @t10) (=> @t4772 (=> @t4417 (tptp.hBOOL (tptp.hAPP @t4771 (tptp.c_Transitive__Closure_Otrancl @t10 @t2608))))))) % 18.94/19.19 (assume @p3565 (forall @t3489 (= @t4766 (tptp.hAPP @t4420 (tptp.hAPP (tptp.hAPP @t4478 @t4766) @t124))))) % 18.94/19.19 (assume @p3566 (forall @t4701 (=> @t4634 (tptp.hBOOL (tptp.hAPP @t4770 @t4633))))) % 18.94/19.19 (assume @p3567 (forall @t4418 (=> @t4417 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 (tptp.hAPP (tptp.hAPP @t4478 (tptp.hAPP (tptp.hAPP @t4521 @t4766) @t2608)) @t124)) @t2608)) (tptp.hBOOL (tptp.hAPP @t4770 @t2608)))))) % 18.94/19.19 (assume @p3568 (forall @t4788 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t4787) (tptp.hAPP @t4785 (tptp.hAPP @t4262 (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP @t951 (tptp.hAPP @t2873 (tptp.hAPP @t1172 (tptp.hAPP (tptp.hAPP @t4350 (tptp.hAPP @t4347 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t10 @t3480) @t4111) @t97))) @t4784)))) (tptp.hAPP (tptp.hAPP @t4350 (tptp.hAPP @t4347 @t4218)) @t4784)))))))) % 18.94/19.19 (assume @p3569 (forall @t4791 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2878) @t4453) tptp.c_fequal) @t47) @t97)) (tptp.hBOOL (tptp.hAPP @t4219 @t4790))))) % 18.94/19.19 (assume @p3570 (forall @t4774 (=> @t4773 (tptp.hBOOL (tptp.hAPP @t4771 @t4784))))) % 18.94/19.19 (assume @p3571 (forall @t4484 (tptp.hBOOL (tptp.hAPP @t4524 @t4784)))) % 18.94/19.19 (assume @p3572 (forall @t751 (tptp.hBOOL (tptp.hAPP @t4524 @t4789)))) % 18.94/19.19 (assume @p3573 (forall @t4414 (=> @t4769 @t4792))) % 18.94/19.19 (assume @p3574 (forall @t4357 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t4793) @t4793))) % 18.94/19.19 (assume @p3575 (forall @t4357 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4783) @t4793))) % 18.94/19.19 (assume @p3576 (forall @t3489 (= (tptp.hAPP @t4785 @t4789) @t4784))) % 18.94/19.19 (assume @p3577 (forall @t3489 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t4790) @t4784))) % 18.94/19.19 (assume @p3578 (forall @t3489 (= @t4766 @t4795))) % 18.94/19.19 (assume @p3579 (forall @t3489 (= @t4766 @t4796))) % 18.94/19.19 (assume @p3580 (forall (@list @t271 @t124 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t3509 @t271)) @t271)) (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4784) @t271) @t271)))) % 18.94/19.19 (assume @p3581 (forall @t366 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 @t4800) @t4797)))) % 18.94/19.19 (assume @p3582 (forall @t4418 (=> @t4417 @t4803))) % 18.94/19.19 (assume @p3583 (forall @t366 (=> (tptp.hBOOL (tptp.hAPP @t4534 @t348)) (=> (tptp.hBOOL (tptp.hAPP @t4533 @t4793)) (= @t4798 @t4793))))) % 18.94/19.19 (assume @p3584 (forall @t4418 (=> (tptp.hBOOL (tptp.hAPP @t4416 @t4801)) @t4803))) % 18.94/19.19 (assume @p3585 (forall @t4705 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 @t4789) @t2608)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 (tptp.hAPP (tptp.hAPP @t4478 (tptp.hAPP (tptp.hAPP @t4521 @t4784) @t2608)) @t124)) @t2608)) (tptp.hBOOL (tptp.hAPP @t4802 @t2608)))))) % 18.94/19.19 (assume @p3586 (forall @t4357 (= (tptp.hAPP @t4573 @t4793) @t600))) % 18.94/19.19 (assume @p3587 (forall @t4357 (= (tptp.hAPP @t4559 @t4793) @t600))) % 18.94/19.19 (assume @p3588 (forall @t658 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t3538) @t4789))) % 18.94/19.19 (assume @p3589 (forall @t3489 (= @t4784 (tptp.hAPP (tptp.hAPP @t4419 @t4789) @t4796)))) % 18.94/19.19 (assume @p3590 (forall (@list @t348 @t361 @t47 @t10) (=> (or (tptp.hBOOL (tptp.hAPP @t4804 @t4793)) (tptp.hBOOL (tptp.hAPP @t4804 @t4798))) (tptp.hBOOL (tptp.hAPP @t4804 @t4797))))) % 18.94/19.19 (assume @p3591 (forall @t4357 (= (tptp.hAPP (tptp.hAPP @t4478 @t4793) @t4793) @t4793))) % 18.94/19.19 (assume @p3592 (forall @t3489 (= @t4795 @t4796))) % 18.94/19.19 (assume @p3593 (forall @t4357 (= (tptp.c_Transitive__Closure_Ortrancl @t10 (tptp.hAPP @t4526 @t4789)) @t4793))) % 18.94/19.19 (assume @p3594 (forall @t366 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4800) @t4797))) % 18.94/19.19 (assume @p3595 (forall @t4357 (= (tptp.hAPP @t4799 @t4789) @t4793))) % 18.94/19.19 (assume @p3596 (forall @t3489 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4784) @t4784))) % 18.94/19.19 (assume @p3597 (forall @t4780 (=> @t4792 @t4807))) % 18.94/19.19 (assume @p3598 (forall @t4780 (=> @t4792 (=> @t4781 @t4805)))) % 18.94/19.19 (assume @p3599 (forall @t4780 (=> @t4279 @t4807))) % 18.94/19.19 (assume @p3600 (forall @t3489 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4808) @t4784))) % 18.94/19.19 (assume @p3601 (forall @t3489 (tptp.c_Relation_Orefl__on @t10 @t600 @t4784))) % 18.94/19.19 (assume @p3602 (forall @t51 (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4789) @t23) @t23))) % 18.94/19.19 (assume @p3603 (forall @t4583 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t38 @t38) @t361) (tptp.c_Relation_OId @t38)) @t361))) % 18.94/19.19 (assume @p3604 (forall @t4583 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t10 @t38) @t4789) @t361) @t361))) % 18.94/19.19 (assume @p3605 (forall @t421 (= (tptp.hBOOL (tptp.hAPP @t4278 @t4789)) @t330))) % 18.94/19.19 (assume @p3606 (forall @t4811 (=> @t4810 (=> (tptp.hBOOL (tptp.hAPP @t4317 @t4766)) (tptp.hBOOL (tptp.hAPP @t4809 @t4766)))))) % 18.94/19.19 (assume @p3607 (forall @t4780 (=> @t4769 @t4812))) % 18.94/19.19 (assume @p3608 (forall @t4780 (=> @t4792 @t4782))) % 18.94/19.19 (assume @p3609 (forall (@list @t361 @t216 @t219 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4278 @t4793)) (or @t330 (and @t839 (tptp.hBOOL (tptp.hAPP @t4278 @t4783))))))) % 18.94/19.19 (assume @p3610 (forall @t4780 (=> @t4279 @t4812))) % 18.94/19.19 (assume @p3611 (forall @t4815 (= @t4814 (or @t98 (and @t992 @t4813))))) % 18.94/19.19 (assume @p3612 (forall @t658 (= (tptp.hAPP @t4573 @t4789) @t600))) % 18.94/19.19 (assume @p3613 (forall @t658 (= (tptp.hAPP @t4559 @t4789) @t600))) % 18.94/19.19 (assume @p3614 (forall @t658 (tptp.c_Relation_Orefl__on @t10 @t600 @t4789))) % 18.94/19.19 (assume @p3615 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t4378 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t4148)))) % 18.94/19.19 (assume @p3616 (forall (@list @t97 @t361 @t47 @t10) (=> (not (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP @t4573 @t361)))) (= @t4814 @t98)))) % 18.94/19.19 (assume @p3617 (forall (@list @t216 @t124 @t219 @t10) (=> @t4481 (=> @t4817 @t4482)))) % 18.94/19.19 (assume @p3618 (forall (@list @t124 @t219 @t216 @t10) (=> @t4817 (=> @t4481 @t4482)))) % 18.94/19.19 (assume @p3619 (forall @t4788 (= (tptp.c_Wellfounded_Owf @t10 @t4787) (and @t4512 @t4818)))) % 18.94/19.19 (assume @p3620 (forall @t4788 (= (tptp.c_Wellfounded_Oacyclic @t10 @t4787) (and @t4704 @t4818)))) % 18.94/19.19 (assume @p3621 (forall @t3489 (tptp.c_Relation_Orefl__on @t10 @t600 @t4790))) % 18.94/19.19 (assume @p3622 (forall @t658 (= @t4789 (tptp.hAPP @t4262 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 tptp.tc_HOL_Obool @t3480) @t2889) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3480 @t4349 @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3481 (tptp.tc_fun @t4349 @t25) @t3480) (tptp.c_COMBB @t3480 tptp.tc_HOL_Obool @t10)) tptp.c_fequal)) @t4427)))))) % 18.94/19.19 (assume @p3623 (forall @t3489 (tptp.c_Relation_Oirrefl @t10 @t4808))) % 18.94/19.19 (assume @p3624 (forall @t1827 (= (tptp.hBOOL (tptp.hAPP @t4764 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t1516))) % 18.94/19.19 (assume @p3625 (forall (@list @t23 @t124 @t216 @t219 @t10) (=> @t4792 (=> @t4634 @t884)))) % 18.94/19.19 (assume @p3626 (forall @t4454 (=> (= (tptp.hAPP (tptp.hAPP @t4521 @t4821) @t4784) @t3538) (not (tptp.hBOOL (tptp.hAPP @t4819 @t4766)))))) % 18.94/19.19 (assume @p3627 (forall (@list @t118 @t207 @t124 @t2 @t10) (=> @t4822 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4111 (tptp.hAPP @t2 @t1645)) @t2607)) @t4784))))) % 18.94/19.19 (assume @p3628 (forall @t3489 (= @t4823 (tptp.hAPP @t4820 @t4784)))) % 18.94/19.19 (assume @p3629 (forall @t658 (= (tptp.hAPP @t4820 @t4789) @t4789))) % 18.94/19.19 (assume @p3630 (forall @t3489 (= (tptp.c_Wellfounded_Oacyclic @t10 @t4821) @t4704))) % 18.94/19.19 (assume @p3631 (forall @t4826 (= (tptp.hAPP @t4824 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t150 @t3533) @t348) @t124)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t150 @t1322) @t348) @t4825)))) % 18.94/19.19 (assume @p3632 (forall @t4558 (=> @t4830 @t4828))) % 18.94/19.19 (assume @p3633 (forall @t4558 (=> @t3987 (tptp.hBOOL (tptp.hAPP @t4827 @t4831))))) % 18.94/19.19 (assume @p3634 (forall @t4558 (= @t4830 @t4828))) % 18.94/19.19 (assume @p3635 (forall @t4832 (= (tptp.hAPP @t4824 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t38 @t150 @t10) @t124) @t2608)) (tptp.hAPP (tptp.hAPP @t4467 (tptp.hAPP (tptp.c_Relation_Oconverse @t150 @t10) @t2608)) (tptp.hAPP (tptp.c_Relation_Oconverse @t38 @t150) @t124))))) % 18.94/19.19 (assume @p3636 (forall @t4834 (= (tptp.hAPP @t4824 (tptp.hAPP (tptp.hAPP @t3534 @t124) @t2608)) (tptp.hAPP (tptp.hAPP @t3971 @t4829) @t4833)))) % 18.94/19.19 (assume @p3637 (forall @t51 (= (tptp.hAPP @t4820 @t4428) @t4428))) % 18.94/19.19 (assume @p3638 (forall (@list @t2 @t361 @t38 @t10) (= (tptp.hAPP @t4820 (tptp.hAPP (tptp.hAPP @t4263 @t361) @t2)) (tptp.hAPP (tptp.hAPP @t4263 (tptp.hAPP (tptp.c_Relation_Oconverse @t38 @t38) @t361)) @t2)))) % 18.94/19.19 (assume @p3639 (forall @t4565 (= (tptp.hAPP @t4824 @t4831) @t124))) % 18.94/19.19 (assume @p3640 (forall @t4834 (= (tptp.hAPP @t4824 (tptp.hAPP (tptp.hAPP @t4569 @t124) @t2608)) (tptp.hAPP (tptp.hAPP @t3967 @t4829) @t4833)))) % 18.94/19.19 (assume @p3641 (forall @t4567 (= (tptp.hBOOL (tptp.hAPP @t1324 @t4829)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t3532) @t124))))) % 18.94/19.19 (assume @p3642 (forall @t3489 (= (tptp.hAPP @t4411 @t4821) @t4412))) % 18.94/19.19 (assume @p3643 (forall @t3483 (= (tptp.c_Relation_Orefl__on @t10 @t23 @t4821) @t4694))) % 18.94/19.19 (assume @p3644 (forall @t4826 (= (tptp.hAPP @t4824 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t150 @t3533) @t348) @t124)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t150 @t1322) @t348) @t4825)))) % 18.94/19.19 (assume @p3645 (forall @t3489 (= @t4836 @t4835))) % 18.94/19.19 (assume @p3646 (forall @t3489 (=> @t4837 (tptp.c_Wellfounded_Owf @t10 @t4835)))) % 18.94/19.19 (assume @p3647 (forall @t3483 (=> @t4282 @t4839))) % 18.94/19.19 (assume @p3648 (forall @t4565 (= @t4564 @t4840))) % 18.94/19.19 (assume @p3649 (forall @t4567 (= @t4840 @t4564))) % 18.94/19.19 (assume @p3650 (forall @t4565 (= (tptp.hAPP @t4556 @t4831) @t4576))) % 18.94/19.19 (assume @p3651 (forall @t4788 (=> @t4842 @t4841))) % 18.94/19.19 (assume @p3652 (forall @t4843 (=> @t4841 @t4842))) % 18.94/19.19 (assume @p3653 (forall @t4843 (=> @t4845 @t4844))) % 18.94/19.19 (assume @p3654 (forall @t4843 (=> @t4844 @t4845))) % 18.94/19.19 (assume @p3655 (forall (@list @t22 @t23 @t124 @t38 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t3981) @t22)) (tptp.hBOOL (tptp.hAPP @t4636 (tptp.hAPP @t731 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t38 @t4829) @t337))))))) % 18.94/19.19 (assume @p3656 (forall @t3483 (=> @t4694 (tptp.hBOOL (tptp.hAPP @t4416 @t4838))))) % 18.94/19.19 (assume @p3657 (forall @t4701 (=> @t4839 (=> (= @t4574 @t23) @t4282)))) % 18.94/19.19 (assume @p3658 (forall @t3489 (=> @t4423 (=> @t4704 @t4837)))) % 18.94/19.19 (assume @p3659 (forall @t4565 (= @t4829 (tptp.hAPP @t3934 (tptp.hAPP @t3932 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3533 @t111) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4846 (tptp.tc_fun @t3533 @t111) @t10) (tptp.c_COMBC @t38 @t3533 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t38 @t3532) @t4846 @t10) (tptp.hAPP (tptp.c_COMBB @t3532 @t4012 @t38) @t3979)) @t4056))) @t124)))))) % 18.94/19.19 (assume @p3660 (forall (@list @t22 @t150 @t23 @t124 @t38 @t10) (=> (tptp.c_Relation_Osingle__valued @t10 @t38 @t4829) (=> (not (= @t23 (tptp.c_Orderings_Obot__class_Obot @t256))) (= @t3518 @t3517))))) % 18.94/19.19 (assume @p3661 (forall @t3483 (= (tptp.c_Relation_Ototal__on @t10 @t23 @t4808) @t4847))) % 18.94/19.19 (assume @p3662 (forall @t658 (tptp.c_Relation_Osingle__valued @t10 @t10 @t4789))) % 18.94/19.19 (assume @p3663 (forall (@list @t2608 @t150 @t124 @t38 @t10) (=> @t4848 (=> (tptp.c_Relation_Osingle__valued @t38 @t150 @t2608) (tptp.c_Relation_Osingle__valued @t10 @t150 @t4470))))) % 18.94/19.19 (assume @p3664 (forall @t4580 (=> @t4579 (=> (tptp.c_Relation_Osingle__valued @t10 @t38 @t2608) @t4848)))) % 18.94/19.19 (assume @p3665 (forall @t51 (tptp.c_Relation_Osingle__valued @t10 @t10 @t4428))) % 18.94/19.19 (assume @p3666 (forall @t3489 (tptp.c_Relation_Ototal__on @t10 @t749 @t124))) % 18.94/19.19 (assume @p3667 (forall @t3483 (= (tptp.c_Relation_Ototal__on @t10 @t23 @t4821) @t4847))) % 18.94/19.19 (assume @p3668 (forall @t4567 (= @t4848 (forall @t1131 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3956 @t4672) @t124)) (forall @t2861 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3956 @t4849) @t124)) (= @t195 @t2859)))))))) % 18.94/19.19 (assume @p3669 (forall (@list @t513 @t97 @t47 @t124 @t38 @t10) (=> @t4848 (=> (tptp.hBOOL (tptp.hAPP @t3957 @t124)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3956 (tptp.hAPP @t3954 @t513)) @t124)) @t1621))))) % 18.94/19.19 (assume @p3670 (forall @t3483 (= @t4847 (forall @t7 (=> @t326 (forall @t312 (=> @t1094 (=> @t764 (or (tptp.hBOOL (tptp.hAPP @t4537 @t124)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4111 @t309) @t3)) @t124))))))))))) % 18.94/19.19 (assume @p3671 (forall @t4850 (=> (tptp.c_Relation_Osingle__valued @t10 @t10 @t124) (=> @t4810 (=> (tptp.hBOOL (tptp.hAPP @t4809 @t4784)) (or (tptp.hBOOL (tptp.hAPP @t4317 @t4784)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4111 @t513) @t97)) @t4784)))))))) % 18.94/19.19 (assume @p3672 (forall @t3524 (=> (tptp.c_Relation_Osingle__valued @t10 @t38 (tptp.hAPP @t4824 @t361)) (= @t3523 @t3522)))) % 18.94/19.19 (assume @p3673 (forall @t4854 (=> @t4853 (tptp.hBOOL (tptp.hAPP @t4771 @t4852))))) % 18.94/19.19 (assume @p3674 (forall @t3489 (=> @t4768 @t4704))) % 18.94/19.19 (assume @p3675 (forall @t4856 (=> (tptp.c_Relation_Osingle__valued @t10 @t10 @t361) (tptp.c_Relation_Osingle__valued @t10 @t10 @t4855)))) % 18.94/19.19 (assume @p3676 (forall @t4857 (=> (tptp.c_Wellfounded_Owf @t10 @t4855) @t4503))) % 18.94/19.19 (assume @p3677 (forall @t2592 (= (tptp.hAPP @t4860 @t4859) (tptp.hAPP (tptp.hAPP @t4858 @t1924) @t2)))) % 18.94/19.19 (assume @p3678 (forall (@list @t47 @t831 @t10 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t4861 @t47)) (tptp.hAPP @t4861 @t49)))) % 18.94/19.19 (assume @p3679 (forall (@list @t2 @t831 @t38 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t42 @t42) @t831) (tptp.c_Fun_Ocomp @t38 @t38 @t10 @t2)) (tptp.c_Fun_Ocomp @t38 @t38 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t38 @t38) @t831) @t2))))) % 18.94/19.19 (assume @p3680 (forall @t4357 (= (tptp.hAPP (tptp.hAPP @t4851 @t1599) @t361) @t361))) % 18.94/19.19 (assume @p3681 (forall @t4856 (= (tptp.hAPP @t4490 @t4855) @t4862))) % 18.94/19.19 (assume @p3682 (forall (@list @t361 @t831 @t1504 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4771 @t4855)) @t4853))) % 18.94/19.19 (assume @p3683 (forall @t4854 (= @t4853 (exists @t2229 @t4863)))) % 18.94/19.19 (assume @p3684 (forall @t4857 (= @t4864 @t4862))) % 18.94/19.19 (assume @p3685 (forall (@list @t361 @t831 @t561 @t10) (= (tptp.hAPP (tptp.hAPP @t4851 @t1994) @t361) (tptp.hAPP (tptp.hAPP @t4478 (tptp.hAPP (tptp.hAPP @t4851 @t561) @t361)) @t4855)))) % 18.94/19.19 (assume @p3686 (forall @t4357 (= @t4865 @t4789))) % 18.94/19.19 (assume @p3687 (forall @t4738 (tptp.hBOOL (tptp.hAPP @t4819 @t4865)))) % 18.94/19.19 (assume @p3688 (forall @t4815 (=> (tptp.hBOOL (tptp.hAPP @t4219 @t4865)) @t98))) % 18.94/19.19 (assume @p3689 (forall (@list @t513 @t361 @t831 @t97 @t47 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4219 @t4855)) (=> (tptp.hBOOL (tptp.hAPP @t4317 @t361)) @t4866)))) % 18.94/19.19 (assume @p3690 (forall (@list @t831 @t513 @t361 @t97 @t47 @t10) (=> @t4329 (=> (tptp.hBOOL (tptp.hAPP @t4317 @t4855)) @t4866)))) % 18.94/19.19 (assume @p3691 (forall (@list @t2 @t831 @t10) (= (tptp.hAPP (tptp.hAPP @t4858 @t2478) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t10 @t2) @t4861)))) % 18.94/19.19 (assume @p3692 (forall @t1943 (= (tptp.hAPP (tptp.hAPP @t4858 @t1994) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t10 @t4859) @t4861)))) % 18.94/19.19 (assume @p3693 (forall @t1063 (= (tptp.hAPP (tptp.hAPP @t4858 @t1949) @t2) @t4662))) % 18.94/19.19 (assume @p3694 (forall @t4854 (= (tptp.hBOOL (tptp.hAPP @t4771 @t4783)) (exists @t2229 (and @t2716 @t4863))))) % 18.94/19.19 (assume @p3695 (forall @t4357 (= @t4793 @t4852))) % 18.94/19.19 (assume @p3696 (forall @t658 (= (tptp.c_Nat_Ofunpow @t10) @t4858))) % 18.94/19.19 (assume @p3697 (forall @t4874 (=> @t4873 (=> @t4872 (not (forall @t4871 (=> @t2520 (=> (tptp.hBOOL (tptp.hAPP @t4870 @t4869)) @t4868)))))))) % 18.94/19.19 (assume @p3698 (forall @t4874 (=> @t4873 (=> @t4872 (not (forall @t4871 (=> @t2520 (=> @t4875 (not (tptp.hBOOL (tptp.hAPP @t4867 @t4869))))))))))) % 18.94/19.19 (assume @p3699 (forall @t4880 (=> @t4879 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4112 @t216)) @t4876)) (forall @t199 (=> (tptp.hBOOL (tptp.hAPP @t4878 @t53)) @t1105)))) @t4877)))) % 18.94/19.19 (assume @p3700 (forall @t4880 (=> @t4879 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4276 @t3)) @t4876)) (forall @t199 (=> (tptp.hBOOL (tptp.hAPP @t4319 @t53)) @t2436)))) @t4877)))) % 18.94/19.19 (assume @p3701 (forall @t4874 (=> @t4866 (not (forall @t199 (=> (tptp.hBOOL (tptp.hAPP @t4870 @t4855)) @t4868)))))) % 18.94/19.19 (assume @p3702 (forall @t4874 (=> @t4866 (exists @t199 (and @t4875 @t4881))))) % 18.94/19.19 (assume @p3703 (forall @t4874 (=> @t4866 (not (forall @t199 (=> @t4875 (not @t4881))))))) % 18.94/19.19 (assume @p3704 (forall @t4815 (=> @t4813 (exists @t2861 (and (tptp.hBOOL (tptp.hAPP @t4883 @t4793)) (tptp.hBOOL (tptp.hAPP @t4882 @t361))))))) % 18.94/19.19 (assume @p3705 (forall @t4815 (=> @t4813 (exists @t2861 (and (tptp.hBOOL (tptp.hAPP @t4883 @t361)) (tptp.hBOOL (tptp.hAPP @t4882 @t4793))))))) % 18.94/19.19 (assume @p3706 (forall (@list @t1504 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4771 @t4789)) (not (forall @t7 (not (= @t1504 @t4113))))))) % 18.94/19.19 (assume @p3707 (forall @t376 (=> @t127 (=> @t1292 (=> @t874 (= @t3086 @t4885)))))) % 18.94/19.19 (assume @p3708 (forall (@list @t2608 @t23 @t1082 @t2 @t38 @t10) (=> @t1366 (=> @t1292 (= (tptp.hAPP @t1288 @t2608) (tptp.hAPP (tptp.hAPP @t4886 @t2608) @t23)))))) % 18.94/19.19 (assume @p3709 (forall @t1276 (= @t1457 (tptp.c_Finite__Set_Ofold @t38 @t10 @t1395)))) % 18.94/19.19 (assume @p3710 (forall (@list @t513 @t2 @t10 @t38) (= (tptp.hAPP @t4887 @t758) @t513))) % 18.94/19.19 (assume @p3711 (forall (@list @t23 @t513 @t2 @t10 @t38) (= (tptp.hAPP @t4887 @t23) (tptp.c_HOL_OThe @t10 (tptp.c_Finite__Set_Ofold__graph @t38 @t10 @t2 @t513 @t23))))) % 18.94/19.19 (assume @p3712 (forall @t31 (=> @t1292 (= @t458 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t25 @t822) @t22) @t23))))) % 18.94/19.19 (assume @p3713 (forall @t4891 (=> @t519 (=> @t1292 (= (tptp.hAPP @t4889 @t854) (tptp.hAPP @t937 @t4890)))))) % 18.94/19.19 (assume @p3714 (forall @t4891 (=> @t669 (=> @t1292 (= (tptp.hAPP @t4893 @t854) (tptp.hAPP @t938 @t4894)))))) % 18.94/19.19 (assume @p3715 (forall @t4891 (=> @t127 (=> @t1292 (= (tptp.hAPP @t4896 @t854) (tptp.hAPP @t3088 @t4897)))))) % 18.94/19.19 (assume @p3716 (forall @t4891 (=> @t127 (=> @t1292 (= (tptp.hAPP @t4898 @t854) (tptp.hAPP @t3014 @t4899)))))) % 18.94/19.19 (assume @p3717 (forall @t31 (=> @t157 (=> @t1292 (= (tptp.hAPP (tptp.hAPP @t466 @t22) @t370) (tptp.hAPP (tptp.hAPP @t4888 @t22) @t23)))))) % 18.94/19.19 (assume @p3718 (forall @t31 (=> @t157 (=> @t1292 (= (tptp.hAPP (tptp.hAPP @t616 @t22) @t371) (tptp.hAPP (tptp.hAPP @t4892 @t22) @t23)))))) % 18.94/19.19 (assume @p3719 (forall @t4905 (=> @t1204 (=> @t1292 @t4904)))) % 18.94/19.19 (assume @p3720 (forall @t4905 (=> @t1204 (=> @t1292 @t4907)))) % 18.94/19.19 (assume @p3721 (forall @t146 (=> @t145 (=> @t1292 (= (tptp.hAPP (tptp.hAPP @t812 @t22) @t144) (tptp.hAPP (tptp.hAPP @t4908 @t22) @t23)))))) % 18.94/19.19 (assume @p3722 (forall @t146 (=> @t145 (=> @t1292 (= (tptp.hAPP (tptp.hAPP @t815 @t22) @t149) (tptp.hAPP (tptp.hAPP @t4909 @t22) @t23)))))) % 18.94/19.19 (assume @p3723 (forall (@list @t219 @t23 @t1082 @t2 @t10) (=> @t1437 (=> @t1292 (= (tptp.hAPP @t1082 @t854) (tptp.hAPP (tptp.hAPP @t4910 @t219) @t23)))))) % 18.94/19.19 (assume @p3724 (forall @t4911 (=> @t519 (=> @t1292 (=> @t251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t957) @t4890))))))) % 18.94/19.19 (assume @p3725 (forall @t4911 (=> @t669 (=> @t1292 (=> @t251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t4894) @t958))))))) % 18.94/19.19 (assume @p3726 (forall @t4911 (=> @t127 (=> @t1292 (=> @t251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t4897) (tptp.hAPP @t3088 @t216)))))))) % 18.94/19.19 (assume @p3727 (forall @t4911 (=> @t127 (=> @t1292 (=> @t251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t3014 @t216)) @t4899))))))) % 18.94/19.19 (assume @p3728 (forall @t51 (=> @t157 (=> @t1292 (= @t370 (tptp.hAPP (tptp.hAPP @t4888 @t752) @t23)))))) % 18.94/19.19 (assume @p3729 (forall @t51 (=> @t157 (=> @t1292 (= @t371 (tptp.hAPP (tptp.hAPP @t4892 @t629) @t23)))))) % 18.94/19.19 (assume @p3730 (forall @t1305 (=> @t1269 (=> @t1292 @t4912)))) % 18.94/19.19 (assume @p3731 (forall @t1305 (=> @t467 (=> @t1292 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t854) (tptp.hAPP (tptp.hAPP @t4888 @t219) @t23)))))) % 18.94/19.19 (assume @p3732 (forall @t1305 (=> @t467 (=> @t1292 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t854) (tptp.hAPP (tptp.hAPP @t4892 @t219) @t23)))))) % 18.94/19.19 (assume @p3733 (forall @t1305 (=> @t127 (=> @t1292 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t854) @t4913))))) % 18.94/19.19 (assume @p3734 (forall @t1305 (=> @t127 (=> @t1292 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t854) @t4914))))) % 18.94/19.19 (assume @p3735 (forall @t1305 (=> @t127 (=> @t1292 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 @t854) @t4913))))) % 18.94/19.19 (assume @p3736 (forall @t1305 (=> @t127 (=> @t1292 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 @t854) @t4914))))) % 18.94/19.19 (assume @p3737 (forall @t31 (=> @t1292 (= @t898 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t25 @t1190) @t22) @t23))))) % 18.94/19.19 (assume @p3738 (forall @t1293 (=> @t1232 (=> @t1292 (=> @t874 (= @t1355 (tptp.hAPP (tptp.hAPP @t4910 @t47) @t23))))))) % 18.94/19.19 (assume @p3739 (forall @t2090 (=> @t145 (=> @t1292 (= @t144 (tptp.hAPP (tptp.hAPP @t4908 (tptp.c_Orderings_Obot__class_Obot @t38)) @t23)))))) % 18.94/19.19 (assume @p3740 (forall @t2090 (=> @t145 (=> @t1292 (= @t149 (tptp.hAPP (tptp.hAPP @t4909 (tptp.c_Orderings_Otop__class_Otop @t38)) @t23)))))) % 18.94/19.19 (assume @p3741 (forall @t1305 (=> @t1215 (=> @t1292 (=> @t252 @t4912))))) % 18.94/19.19 (assume @p3742 (forall @t376 (=> @t467 (=> @t1292 (=> @t874 (= @t1421 (tptp.hAPP (tptp.hAPP @t4888 @t47) @t23))))))) % 18.94/19.19 (assume @p3743 (forall @t376 (=> @t467 (=> @t1292 (=> @t874 (= @t1403 (tptp.hAPP (tptp.hAPP @t4892 @t47) @t23))))))) % 18.94/19.19 (assume @p3744 (forall @t376 (=> @t127 (=> @t1292 (=> @t874 (= @t3060 @t4915)))))) % 18.94/19.19 (assume @p3745 (forall @t376 (=> @t127 (=> @t1292 (=> @t874 (= @t3058 @t4885)))))) % 18.94/19.19 (assume @p3746 (forall @t376 (=> @t127 (=> @t1292 (=> @t874 (= @t3074 @t4915)))))) % 18.94/19.19 (assume @p3747 (forall @t4918 (=> @t4917 (=> @t1292 (=> @t335 (= @t4901 @t4916)))))) % 18.94/19.19 (assume @p3748 (forall @t4905 (=> @t4917 (=> @t1292 (= @t4903 @t4916))))) % 18.94/19.19 (assume @p3749 (forall @t1016 (=> @t4917 (= @t1387 @t1388)))) % 18.94/19.19 (assume @p3750 (forall @t1207 (=> @t4917 (tptp.c_Finite__Set_Ofun__left__comm @t150 @t38 @t1206)))) % 18.94/19.19 (assume @p3751 (forall @t658 (=> @t1215 (tptp.c_Finite__Set_Ofun__left__comm @t10 @t10 @t1212)))) % 18.94/19.19 (assume @p3752 (forall @t1017 (=> @t4917 (= (tptp.hAPP @t49 (tptp.hAPP @t123 @t513)) (tptp.hAPP @t123 @t1203))))) % 18.94/19.19 (assume @p3753 (forall @t1196 (=> @t4917 (=> @t1341 (=> @t1211 @t869))))) % 18.94/19.19 (assume @p3754 (forall @t4918 (=> @t4917 (=> @t1292 (= @t4902 @t4906))))) % 18.94/19.19 (assume @p3755 (forall (@list @t97 @t23 @t513 @t2 @t38 @t10) (=> @t4917 (=> @t1211 (= @t4901 @t97))))) % 18.94/19.19 (assume @p3756 (forall (@list @t513 @t23 @t2 @t38 @t10) (=> @t4917 (=> @t1292 (tptp.hBOOL (tptp.hAPP @t1195 @t4901)))))) % 18.94/19.19 (assume @p3757 (forall @t4918 (=> @t4917 (=> @t1292 (=> @t874 @t4907))))) % 18.94/19.19 (assume @p3758 (forall @t4918 (=> @t4917 (=> @t1292 (=> @t874 @t4904))))) % 18.94/19.19 (assume @p3759 (forall (@list @t219 @t97 @t23 @t513 @t2 @t38 @t10) (=> @t4917 (=> @t1211 (=> @t251 (exists (@list @t4919) (and (= @t97 (tptp.hAPP @t903 @t4919)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t38 @t2 @t513 @t853) @t4919))))))))) % 18.94/19.19 (assume @p3760 (forall (@list @t1234 @t23 @t47 @t513 @t2 @t38 @t10) (=> @t4917 (=> (tptp.hBOOL (tptp.hAPP @t1210 @t1234)) (=> @t874 (not (forall @t199 (=> (= @t1234 (tptp.hAPP @t49 @t195)) (not (tptp.hBOOL (tptp.hAPP @t1195 @t195))))))))))) % 18.94/19.19 (assume @p3761 (forall @t4920 (=> @t127 (=> @t1292 (=> @t383 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP (tptp.hAPP @t4884 @t220) @t23)) (tptp.hAPP (tptp.hAPP @t2939 @t216) @t220)))))))) % 18.94/19.19 (assume @p3762 (forall @t4920 (=> @t127 (=> @t1292 (=> @t386 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t3012 @t220)) (tptp.hAPP (tptp.hAPP @t4895 @t220) @t23)))))))) % 18.94/19.19 (assume @p3763 (forall @t4920 (=> @t669 (=> @t1292 (=> @t386 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP (tptp.hAPP @t616 @t216) @t220)) (tptp.hAPP (tptp.hAPP @t4892 @t220) @t23)))))))) % 18.94/19.19 (assume @p3764 (forall @t4920 (=> @t519 (=> @t1292 (=> @t383 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP (tptp.hAPP @t4888 @t220) @t23)) (tptp.hAPP (tptp.hAPP @t466 @t216) @t220)))))))) % 18.94/19.19 (assume @p3765 (forall @t411 (=> @t3297 (= @t81 @t3456)))) % 18.94/19.19 (assume @p3766 (forall @t3489 (= @t4512 (forall (@list @t4921) (=> (exists @t7 @t4923) (exists @t7 (and @t4923 (forall @t199 (=> @t4922 (not (tptp.hBOOL (tptp.hAPP @t2437 @t4921)))))))))))) % 18.94/19.19 (assume @p3767 (forall @t1380 (=> @t4924 (=> @t1342 (=> @t1340 @t1379))))) % 18.94/19.19 (assume @p3768 (forall (@list @t4925 @t56) (=> (forall @t7 (=> @t2386 (= @t314 (tptp.hBOOL (tptp.hAPP @t4925 @t3))))) (= @t2871 (tptp.hAPP @t2870 (tptp.hAPP @t2869 @t4925)))))) % 18.94/19.19 (assume @p3769 (forall (@list @t47 @t1082 @t1 @t513 @t2 @t38 @t10) (=> @t4924 @t1444))) % 18.94/19.19 (assume @p3770 (forall @t1371 (=> @t4924 (=> @t1342 (=> @t609 (= @t1409 @t1288)))))) % 18.94/19.19 (assume @p3771 (forall @t1371 (=> @t4924 (=> @t1342 @t1410)))) % 18.94/19.19 (assume @p3772 (forall @t1380 (=> @t4924 (=> @t1342 (=> (tptp.hBOOL (tptp.hAPP @t1168 @t23)) @t1443))))) % 18.94/19.19 (assume @p3773 (forall (@list @t53 @t56 @t22 @t23 @t10) (=> @t30 (=> (forall @t7 (=> @t326 (=> @t314 @t4926))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t2834) (tptp.hAPP @t639 @t2814))))))) % 18.94/19.19 (assume @p3774 (forall (@list @t124 @t4927 @t38 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3956 @t4927) @t4829)) (not (forall @t1131 (=> (= @t4927 (tptp.hAPP (tptp.hAPP @t3953 @t195) @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3979 (tptp.hAPP @t3978 @t195)) @t124))))))))) % 18.94/19.19 (assume @p3775 (forall (@list @t2608 @t124 @t150 @t4928 @t38 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3956 @t4928) @t4468)) (not (forall (@list @t3 @t195 @t2859) (=> (= @t4928 @t4849) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4461 (tptp.hAPP (tptp.hAPP @t4142 @t3) @t195)) @t124)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4373 @t195) @t2859)) @t2608)))))))))) % 18.94/19.19 (assume @p3776 (forall @t4935 (= (tptp.c_Nitpick_Oplus__frac @t10 @t3403 @t124) (tptp.hAPP (tptp.hAPP @t3805 (tptp.c_Nitpick_Oint__lcm @t4934 @t4930)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t3904 tptp.tc_Int_Oint) (tptp.c_Nitpick_Ofrac @t10)) (tptp.hAPP (tptp.hAPP @t3704 (tptp.hAPP @t3940 (tptp.hAPP (tptp.hAPP @t4933 (tptp.hAPP @t2194 (tptp.hAPP @t4932 @t3403))) (tptp.hAPP @t4931 @t4934)))) (tptp.hAPP (tptp.hAPP @t4933 (tptp.hAPP @t2194 (tptp.hAPP @t4932 @t124))) (tptp.hAPP @t4931 @t4930))))) @t3701))))) % 18.94/19.19 (assume @p3777 (forall (@list @t2082 @t2329 @t33) (= (tptp.c_Nitpick_Otimes__frac @t33 @t2329 @t2082) (tptp.hAPP (tptp.hAPP @t4572 (tptp.hAPP (tptp.hAPP @t2194 @t4939) (tptp.hAPP @t4938 @t2082))) (tptp.hAPP (tptp.hAPP @t2194 @t4937) (tptp.hAPP @t4936 @t2082)))))) % 18.94/19.19 (assume @p3778 (forall (@list @t2329 @t33 @t10) (=> (and (tptp.class_Rings_Oinverse @t10) @t2548) (= (tptp.c_Nitpick_Oof__frac @t33 @t10 @t2329) (tptp.hAPP (tptp.hAPP @t3135 (tptp.hAPP @t2701 @t4939)) (tptp.hAPP @t2701 @t4937)))))) % 18.94/19.19 (assume @p3779 (forall @t4940 (= (tptp.c_Nitpick_Oinverse__frac @t33 @t2329) (tptp.hAPP (tptp.hAPP @t4572 @t4937) @t4939)))) % 18.94/19.19 (assume @p3780 (forall @t4940 (= (tptp.c_Nitpick_Ouminus__frac @t33 @t2329) (tptp.c_Nitpick_OAbs__Frac @t33 (tptp.hAPP (tptp.hAPP @t3946 (tptp.hAPP @t2184 @t4939)) @t4937))))) % 18.94/19.19 (assume @p3781 (forall @t4935 (= (tptp.c_Nitpick_Oless__frac @t10 @t3403 @t124) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t4941) @t2188))))) % 18.94/19.19 (assume @p3782 (forall @t4935 (= (tptp.c_Nitpick_Oless__eq__frac @t10 @t3403 @t124) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t4941) @t2188))))) % 18.94/19.19 (assume @p3783 (forall @t658 (= @t4932 (tptp.hAPP (tptp.c_Fun_Ocomp @t3926 tptp.tc_Int_Oint @t10 @t4222) @t4942)))) % 18.94/19.19 (assume @p3784 (forall @t658 (= @t4929 (tptp.hAPP (tptp.c_Fun_Ocomp @t3926 tptp.tc_Int_Oint @t10 @t4191) @t4942)))) % 18.94/19.19 (assume @p3785 (forall @t2090 (=> @t4944 (=> (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t4943 @t5)))) (tptp.hBOOL (tptp.hAPP @t4943 @t3024)))))) % 18.94/19.19 (assume @p3786 (forall (@list @t150 @t38 @t10) (= (tptp.c_Product__Type_Ointernal__split @t10 @t38 @t150) @t4028))) % 18.94/19.19 (assume @p3787 (forall (@list @t216 @t219 @t220 @t10 @t150 @t38) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t38 @t150 @t10) @t220) @t4050) @t4052))) % 18.94/19.19 (assume @p3788 (forall @t2090 (=> @t4944 (=> (forall @t7 (=> @t326 @t2433)) (tptp.hBOOL (tptp.hAPP @t2415 @t3024)))))) % 18.94/19.19 (assume @p3789 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t1949)) % 18.94/19.19 (assume @p3790 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t1949)) % 18.94/19.19 (assume @p3791 (forall (@list @t192 @t2) (=> (forall @t2229 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2225) @t2473))) (tptp.hBOOL (tptp.hAPP @t1592 (tptp.hAPP @t2791 (tptp.hAPP (tptp.hAPP @t2785 (tptp.hAPP (tptp.hAPP @t4545 @t1512) @t2)) @t192))))))) % 18.94/19.19 (assume @p3792 (forall @t3489 (= @t4535 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4946 @t4536) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t4536 tptp.c_Wellfounded_Oless__than @t4546)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4536 @t4536 @t4946) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t4536 @t4946) @t4536) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t4536)) @t4945)) (tptp.c_COMBI @t4536)))))) % 18.94/19.19 (assume @p3793 (forall (@list @t831 @t124 @t4947 @t4950 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4955 @t4548)) (and (= @t4951 @t831) @t4949)))) % 18.94/19.19 (assume @p3794 (forall @t4963 (=> (not (= @t4962 @t4961)) (not @t4958)))) % 18.94/19.19 (assume @p3795 (forall @t3489 (= @t4535 (tptp.hAPP @t4984 (tptp.hAPP @t4983 (tptp.hAPP (tptp.hAPP @t4982 (tptp.hAPP @t4981 (tptp.hAPP (tptp.hAPP @t4978 (tptp.hAPP @t4975 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t4973 (tptp.hAPP @t4972 (tptp.hAPP (tptp.hAPP @t4968 @t1754) @t4945))) @t4945)))) (tptp.hAPP (tptp.hAPP @t4982 (tptp.hAPP @t4981 (tptp.hAPP (tptp.hAPP @t4978 @t4976) @t4974))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4536 @t4551 @t4967) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4965 (tptp.tc_fun @t4551 @t4967) @t4536) (tptp.c_COMBC @t4536 @t4551 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4966 @t4965 @t4536) (tptp.hAPP (tptp.c_COMBB @t4550 @t4964 @t4536) @t4954)) @t4952))) @t4546)))))))) % 18.94/19.19 (assume @p3796 (forall @t4986 (= (tptp.hAPP @t4985 (tptp.c_Enum_Osublists @t33 @t4957)) (tptp.hAPP @t3165 @t4962)))) % 18.94/19.19 (assume @p3797 (forall @t4991 (= (tptp.hAPP @t4945 @t4990) (tptp.hAPP @t2466 (tptp.hAPP @t2791 @t4989))))) % 18.94/19.19 (assume @p3798 (forall @t4549 (= (tptp.hAPP @t4547 @t2478) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4551) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t4998 @t4998) @t4550 (tptp.c_Product__Type_Omap__pair @t4998 @t4536 @t4998 @t4536 @t4997 @t4997)) (tptp.c_Wellfounded_Olex__prod @t10 @t4536 @t124 @t4548))) (tptp.hAPP @t4984 (tptp.hAPP @t4983 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4536 @t4967 @t4967) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1170 @t4980 @t4536) @t4995) (tptp.hAPP @t4976 @t4994))) @t4994))))))) % 18.94/19.19 (assume @p3799 (forall @t4843 (= (tptp.hBOOL (tptp.hAPP @t5004 @t4546)) (and @t5005 @t5001)))) % 18.94/19.19 (assume @p3800 (forall (@list @t124 @t97 @t216 @t47 @t219 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t4952 @t5008) @t5006)) @t5002)) (or @t4279 (and @t330 @t5005))))) % 18.94/19.19 (assume @p3801 (forall (@list @t32 @t4956 @t4957 @t33) (=> (tptp.hBOOL (tptp.hAPP @t5012 @t4961)) (not (= @t4957 @t5011))))) % 18.94/19.19 (assume @p3802 (forall (@list @t5013 @t4064 @t5014 @t219 @t10) (= (= @t5015 (tptp.hAPP (tptp.hAPP @t4996 @t4064) @t5013)) (and @t4065 (= @t5014 @t5013))))) % 18.94/19.19 (assume @p3803 (forall @t5017 (not (= @t5016 @t4957)))) % 18.94/19.19 (assume @p3804 (forall @t5018 (not (= @t4957 @t5016)))) % 18.94/19.19 (assume @p3805 (forall (@list @t5019 @t81 @t33) (= (tptp.hAPP @t4960 (tptp.hAPP @t5020 @t5019)) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t4960 @t5019)) @t2451)))) % 18.94/19.19 (assume @p3806 (forall @t5028 (= (tptp.hBOOL (tptp.hAPP @t5027 @t4546)) (or (and @t4289 @t5021) (and @t98 (tptp.hBOOL (tptp.hAPP @t4955 @t4546))))))) % 18.94/19.19 (assume @p3807 (forall (@list @t4390 @t23 @t10) (= (tptp.c_List_Oset__Cons @t10 @t23 @t4390) (tptp.hAPP @t5037 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t25 tptp.tc_HOL_Obool @t4536) @t2889) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5033 @t25 @t4536) (tptp.hAPP (tptp.c_COMBB @t4967 tptp.tc_HOL_Obool @t10) (tptp.c_HOL_OEx @t4536))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4536 @t5033 @t5033) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5036 (tptp.tc_fun @t5033 @t5033) @t4536) (tptp.c_COMBS @t10 @t4967 @t4967)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5035 @t5036 @t4536) (tptp.hAPP (tptp.c_COMBB @t4977 @t4980 @t10) @t4979)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5033 @t5035 @t4536) (tptp.hAPP (tptp.c_COMBB @t4967 @t4977 @t10) @t4976)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4536 @t5034 @t5033) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5032 (tptp.tc_fun @t5034 @t5033) @t4536) (tptp.c_COMBB @t5031 @t4967 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4967 @t5032 @t4536) (tptp.c_COMBB @t4536 tptp.tc_HOL_Obool @t4536)) tptp.c_fequal))) @t4996))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4967 @t4967) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1170 @t4980 @t10) @t4995) @t1173)) (tptp.hAPP @t5030 @t4390))))))))) % 18.94/19.19 (assume @p3808 (forall (@list @t4957 @t32 @t33 @t1767) (and (=> @t5040 (= @t5039 (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t33) @t32))) (=> (not @t5040) (= @t5039 (tptp.hAPP (tptp.c_Random_Opick @t33 @t4957) (tptp.hAPP @t3937 @t5038))))))) % 18.94/19.19 (assume @p3809 (forall @t5044 (= (tptp.c_Random_Oselect__weight @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5043) (tptp.hAPP (tptp.hAPP @t5042 @t3897) @t47)) @t4950)) @t5041))) % 18.94/19.19 (assume @p3810 (forall @t5048 (=> @t4810 (=> @t5047 (tptp.hBOOL (tptp.hAPP @t5027 @t5046)))))) % 18.94/19.19 (assume @p3811 (forall (@list @t4950 @t124 @t47 @t10) (=> @t4452 (=> @t5052 (tptp.hBOOL (tptp.hAPP @t5050 @t5049)))))) % 18.94/19.19 (assume @p3812 (forall @t3489 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5053 (tptp.c_List_Olistrel1 @t10 @t4784)) @t5046)))) % 18.94/19.19 (assume @p3813 (forall @t3489 (= @t5055 @t5054))) % 18.94/19.19 (assume @p3814 (forall @t4418 (=> @t4417 (tptp.hBOOL (tptp.hAPP @t5056 (tptp.c_List_Olistrel1 @t10 @t2608)))))) % 18.94/19.19 (assume @p3815 (forall @t5058 (=> @t5047 (tptp.hBOOL (tptp.hAPP @t5057 @t5046))))) % 18.94/19.19 (assume @p3816 (forall @t5058 (=> @t5059 (tptp.hBOOL (tptp.hAPP @t5057 @t5045))))) % 18.94/19.19 (assume @p3817 (forall @t5060 (=> @t5059 @t5021))) % 18.94/19.19 (assume @p3818 (forall @t4843 (=> (tptp.hBOOL (tptp.hAPP @t5004 @t5046)) @t5001))) % 18.94/19.19 (assume @p3819 (forall @t4843 (= (tptp.hBOOL (tptp.hAPP @t5004 @t5055)) (tptp.hBOOL (tptp.hAPP @t5004 @t5054))))) % 18.94/19.19 (assume @p3820 (forall (@list @t4950 @t124 @t97 @t47 @t10) (=> @t4289 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5026 (tptp.hAPP @t5022 @t4950))) @t5045))))) % 18.94/19.19 (assume @p3821 (forall @t5028 (= (tptp.hBOOL (tptp.hAPP @t5027 @t5045)) (or (and @t4289 @t5061) (and @t98 @t5059))))) % 18.94/19.19 (assume @p3822 (forall (@list @t5014 @t219 @t1386 @t10) (= (tptp.c_List_Olist_Olist__size @t10 @t1386 @t5015) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t5062 (tptp.c_List_Olist_Olist__size @t10 @t1386 @t5014))) @t2451)))) % 18.94/19.19 (assume @p3823 (forall (@list @t4950 @t47 @t124 @t10) (= (tptp.hAPP @t5066 (tptp.hAPP (tptp.hAPP @t5064 @t5025) @t5063)) (tptp.c_List_Oset__Cons @t10 @t3511 (tptp.hAPP @t5066 (tptp.hAPP (tptp.hAPP @t5064 @t4950) @t5063)))))) % 18.94/19.19 (assume @p3824 (forall @t5068 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t4953 @t4950)) @t5067)))) % 18.94/19.19 (assume @p3825 (forall @t4418 (=> @t4417 (tptp.hBOOL (tptp.hAPP @t5069 (tptp.c_List_Olistrel @t10 @t2608)))))) % 18.94/19.19 (assume @p3826 (forall @t3489 (tptp.hBOOL (tptp.hAPP @t5069 @t5046)))) % 18.94/19.19 (assume @p3827 (forall @t5060 (=> @t5070 @t5021))) % 18.94/19.19 (assume @p3828 (forall (@list @t5071 @t124 @t4947 @t4950 @t10) (=> @t5073 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5072 @t5071)) @t5067)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t4953 @t5071)) @t5067)))))) % 18.94/19.19 (assume @p3829 (forall @t3489 (= @t5067 @t5046))) % 18.94/19.19 (assume @p3830 (forall @t5060 (=> @t5059 @t5073))) % 18.94/19.19 (assume @p3831 (forall @t4522 (=> (tptp.hBOOL (tptp.hAPP @t4416 @t3528)) (=> (tptp.c_Relation_Orefl__on @t10 @t600 @t3528) (tptp.hBOOL (tptp.hAPP @t5056 (tptp.c_List_Olistrel @t10 @t3528))))))) % 18.94/19.19 (assume @p3832 (forall @t5060 (=> @t5070 @t5047))) % 18.94/19.19 (assume @p3833 (forall @t5048 (=> @t4289 (=> @t5070 (tptp.hBOOL (tptp.hAPP @t5027 @t5065)))))) % 18.94/19.19 (assume @p3834 (forall (@list @t4430 @t47 @t124 @t10) (= (tptp.c_List_Olistrelp @t10 @t4453 @t47 @t4430) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5003 @t4430)) @t5065))))) % 18.94/19.19 (assume @p3835 (forall (@list @t124 @t4947 @t97 @t4950 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t4953 @t5023)) @t5065)) (not (forall (@list @t3 @t5074) (=> (= @t4950 @t5076) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4112 @t97)) @t124)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t4952 @t5074) @t4947)) @t5065)))))))))) % 18.94/19.19 (assume @p3836 (forall (@list @t4947 @t4950 @t10 @t97 @t47 @t124) (=> @t5077 (=> (tptp.c_List_Olistrelp @t10 @t124 @t4950 @t4947) (tptp.c_List_Olistrelp @t10 @t124 @t5025 @t5023))))) % 18.94/19.19 (assume @p3837 (forall (@list @t1127 @t1098 @t1128 @t1099 @t124 @t10) (= (tptp.c_List_Olistrelp @t10 @t124 (tptp.hAPP @t5080 @t1128) (tptp.hAPP @t5079 @t1127)) (and @t5078 (tptp.c_List_Olistrelp @t10 @t124 @t1128 @t1127))))) % 18.94/19.19 (assume @p3838 (forall (@list @t124 @t4950 @t4947 @t97 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t4952 @t5023) @t4950)) @t5065)) (not (forall (@list @t195 @t5081) (=> (= @t4950 (tptp.hAPP @t5082 @t5081)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4316 @t195)) @t124)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5072 @t5081)) @t5065)))))))))) % 18.94/19.19 (assume @p3839 (forall @t4701 (=> @t4634 (tptp.hBOOL (tptp.hAPP @t5069 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t4536 @t4536) @t5083) (tptp.hAPP (tptp.c_COMBK @t4967 @t4536) @t5083))))))) % 18.94/19.19 (assume @p3840 (forall @t658 (= (tptp.c_List_Olists @t10 @t600) @t5084))) % 18.94/19.19 (assume @p3841 (forall @t31 (=> @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5086 @t5083) @t5085))))) % 18.94/19.19 (assume @p3842 (forall @t3483 (=> @t4282 (tptp.c_Equiv__Relations_Oequiv @t4536 @t5083 @t5065)))) % 18.94/19.19 (assume @p3843 (forall @t3483 (=> @t4694 (tptp.c_Relation_Orefl__on @t4536 @t5083 @t5065)))) % 18.94/19.19 (assume @p3844 (forall (@list @t23 @t4950 @t47 @t10) (= (tptp.hBOOL (tptp.hAPP @t5050 @t5083)) (and @t335 @t5087)))) % 18.94/19.19 (assume @p3845 (forall @t5068 (=> @t5052 @t5088))) % 18.94/19.19 (assume @p3846 (forall @t5068 (=> @t5088 @t5052))) % 18.94/19.19 (assume @p3847 (forall @t5060 (= @t5070 (and @t5021 (forall @t2229 (=> @t5095 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t5093 (tptp.hAPP @t5090 @t2225))) @t124)))))))) % 18.94/19.19 (assume @p3848 (forall (@list @t97 @t124 @t10) (=> @t4221 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5096 @t97)) @t5002)))))) % 18.94/19.19 (assume @p3849 (forall @t5017 (= (tptp.hAPP @t5098 @t1949) @t32))) % 18.94/19.19 (assume @p3850 (forall (@list @t1536 @t4957 @t32 @t33) (= (tptp.hAPP @t5098 @t2459) @t5100))) % 18.94/19.19 (assume @p3851 (forall @t5103 (= @t5061 (and @t5021 (forall @t456 (=> @t5102 (= @t5101 (tptp.hAPP @t5090 @t452)))))))) % 18.94/19.19 (assume @p3852 (forall @t658 (not (tptp.hBOOL (tptp.hAPP @t5104 @t5084))))) % 18.94/19.19 (assume @p3853 (forall (@list @t831 @t4950 @t47 @t10) (= (tptp.hAPP (tptp.hAPP @t5089 @t5025) @t831) (tptp.c_Nat_Onat_Onat__case @t10 @t47 @t5091 @t831)))) % 18.94/19.19 (assume @p3854 (forall @t5106 (and (=> @t1990 (= @t5105 @t32)) (=> @t1991 (= @t5105 (tptp.hAPP @t5099 @t2582)))))) % 18.94/19.19 (assume @p3855 (forall @t5109 (and (=> @t3706 (= @t5107 @t32)) (=> @t5108 (= @t5107 (tptp.hAPP @t5099 @t3543)))))) % 18.94/19.19 (assume @p3856 (forall @t4843 (= @t5005 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t5000) @t4999)) (= (tptp.hAPP (tptp.hAPP @t5110 @t5000) @t97) @t47)) (exists @t456 (and (tptp.hBOOL (tptp.hAPP @t2778 (tptp.hAPP (tptp.hAPP @t2994 @t5000) @t4999))) (= (tptp.hAPP @t5111 @t47) (tptp.hAPP @t5111 @t97)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4111 (tptp.hAPP (tptp.hAPP @t5089 @t47) @t452)) (tptp.hAPP (tptp.hAPP @t5089 @t97) @t452))) @t124)))))))) % 18.94/19.19 (assume @p3857 (forall @t4791 (=> (forall @t4070 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t5112 @t1217)) @t124)) (= @t1294 @t1217) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4111 @t1217) @t1294)) @t124)))) (or @t5005 @t98 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5096 @t47)) @t5002)))))) % 18.94/19.19 (assume @p3858 (forall @t5117 (=> @t5116 (= @t5115 @t4957)))) % 18.94/19.19 (assume @p3859 (forall (@list @t4957 @t33 @t1536 @t1767) (=> @t5119 (= (tptp.hAPP (tptp.hAPP @t5097 @t5115) @t1767) @t5118)))) % 18.94/19.19 (assume @p3860 (forall (@list @t831 @t395 @t10) (= (tptp.c_List_Osublist @t10 @t395 @t1934) (tptp.hAPP @t5120 @t395)))) % 18.94/19.19 (assume @p3861 (forall @t5122 (= (tptp.hAPP @t5114 @t5121) (tptp.hAPP (tptp.hAPP @t5113 (tptp.hAPP @t2995 @t1537)) @t4957)))) % 18.94/19.19 (assume @p3862 (forall @t5124 (= (tptp.hAPP @t4960 @t5115) (tptp.hAPP @t5123 @t1536)))) % 18.94/19.19 (assume @p3863 (forall @t5126 (= (tptp.hAPP @t5125 @t5016) (tptp.hAPP @t5010 @t5115)))) % 18.94/19.19 (assume @p3864 (forall @t5133 (=> @t1292 (tptp.hBOOL (tptp.hAPP @t5104 (tptp.hAPP @t5037 (tptp.hAPP @t5132 (tptp.hAPP (tptp.hAPP @t4992 (tptp.hAPP (tptp.hAPP @t4968 @t1512) @t4945)) @t831)))))))) % 18.94/19.19 (assume @p3865 (forall @t4991 (= @t5140 (tptp.hAPP @t2805 (tptp.hAPP @t5139 (tptp.hAPP @t5137 @t4989)))))) % 18.94/19.19 (assume @p3866 (forall @t5142 (tptp.hBOOL (tptp.hAPP @t1291 @t5141)))) % 18.94/19.19 (assume @p3867 (forall @t5145 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t5144) @t5141)))) % 18.94/19.19 (assume @p3868 (forall @t5147 (=> (tptp.hBOOL (tptp.hAPP @t334 @t5144)) @t5146))) % 18.94/19.19 (assume @p3869 (forall @t5044 (= @t5149 @t5148))) % 18.94/19.19 (assume @p3870 (forall (@list @t4950 @t47 @t97 @t10) (=> (tptp.hBOOL (tptp.hAPP @t332 @t5149)) (or @t869 @t5150)))) % 18.94/19.19 (assume @p3871 (forall @t5153 (=> @t5152 (not @t5151)))) % 18.94/19.19 (assume @p3872 (forall @t5153 (=> @t5151 @t5146))) % 18.94/19.19 (assume @p3873 (forall @t5142 (= (tptp.hAPP @t5156 (tptp.hAPP @t5155 @t5154)) (tptp.hAPP @t200 @t5141)))) % 18.94/19.19 (assume @p3874 (forall @t5158 (tptp.hBOOL (tptp.hAPP @t5157 @t5149)))) % 18.94/19.19 (assume @p3875 (forall @t4991 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t5140) @t5141)))) % 18.94/19.19 (assume @p3876 (forall @t5142 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t5159) @t4951)))) % 18.94/19.19 (assume @p3877 (forall @t5166 (= @t5165 @t5163))) % 18.94/19.19 (assume @p3878 (forall (@list @t4950 @t10 @t831 @t561) (=> @t1516 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t5127 (tptp.hAPP (tptp.hAPP @t5110 @t561) @t4950))) @t5144))))) % 18.94/19.19 (assume @p3879 (forall @t5169 (=> @t5146 (=> (tptp.hBOOL (tptp.hAPP @t5168 @t49)) (tptp.hBOOL (tptp.hAPP @t5168 @t5167)))))) % 18.94/19.19 (assume @p3880 (forall @t5169 (=> @t5146 (=> (tptp.hBOOL (tptp.hAPP @t2221 @t49)) (tptp.hBOOL (tptp.hAPP @t2221 @t5167)))))) % 18.94/19.19 (assume @p3881 (forall @t5170 (= @t5087 (forall @t7 (=> @t5164 @t326))))) % 18.94/19.19 (assume @p3882 (forall @t5044 (=> @t5146 @t5171))) % 18.94/19.19 (assume @p3883 (forall @t5044 (= @t5146 (exists @t456 (and @t5102 (= @t5101 @t47)))))) % 18.94/19.19 (assume @p3884 (forall (@list @t4950 @t10 @t831) (=> @t5173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t5172) @t5141))))) % 18.94/19.19 (assume @p3885 (forall @t51 (= @t5083 (tptp.hAPP @t5037 @t5131)))) % 18.94/19.19 (assume @p3886 (forall @t5142 (= @t5141 (tptp.hAPP @t2805 (tptp.hAPP @t5139 (tptp.hAPP @t5137 @t4987)))))) % 18.94/19.19 (assume @p3887 (forall @t5133 (=> @t1292 (tptp.hBOOL (tptp.hAPP @t5104 (tptp.hAPP @t5037 (tptp.hAPP @t5132 @t5174))))))) % 18.94/19.19 (assume @p3888 (forall @t5060 (= @t5070 (and @t5021 (forall @t7 (=> @t5177 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4261 @t4453) @t3)))))))) % 18.94/19.19 (assume @p3889 (forall @t5145 (= @t5179 (tptp.hAPP @t5037 (tptp.hAPP (tptp.hAPP @t4979 (tptp.hAPP @t4976 @t5174)) (tptp.hAPP @t5130 @t5141)))))) % 18.94/19.19 (assume @p3890 (forall (@list @t4956 @t4957 @t10 @t33) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5184)) @t5183) (tptp.hAPP @t5123 @t5180)))) % 18.94/19.19 (assume @p3891 (forall @t5185 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t5184) @t1536) @t5183) (tptp.hAPP (tptp.hAPP @t5181 @t5115) (tptp.hAPP (tptp.hAPP @t5110 @t1536) @t4956))))) % 18.94/19.19 (assume @p3892 (forall (@list @t4956 @t64 @t4957 @t32 @t10 @t33) (= (tptp.hAPP (tptp.hAPP @t5181 @t5016) (tptp.hAPP (tptp.hAPP @t4996 @t64) @t4956)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5184) @t4230) @t5183)))) % 18.94/19.19 (assume @p3893 (forall @t5103 (= @t5061 (and @t5021 (forall @t7 (=> @t5177 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4261 tptp.c_fequal) @t3)))))))) % 18.94/19.19 (assume @p3894 (forall (@list @t4950 @t216 @t219 @t10) (= (tptp.hBOOL (tptp.hAPP @t4278 (tptp.hAPP @t5176 @t5187))) (and @t5186 @t330)))) % 18.94/19.19 (assume @p3895 (forall @t5194 (=> @t5193 @t5146))) % 18.94/19.19 (assume @p3896 (forall @t5194 (=> @t5193 @t5197))) % 18.94/19.19 (assume @p3897 (forall @t5194 (=> @t5193 (not (=> @t5146 (not @t5197)))))) % 18.94/19.19 (assume @p3898 (forall (@list @t4956 @t10 @t4957 @t33 @t1767) (=> @t5198 (=> (tptp.hBOOL (tptp.hAPP @t1862 @t5180)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t5184) @t5183) @t1767) (tptp.hAPP (tptp.hAPP @t4061 @t5118) (tptp.hAPP (tptp.hAPP @t5089 @t4956) @t1767))))))) % 18.94/19.19 (assume @p3899 (forall (@list @t4950 @t831 @t4947 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5199 @t5179)) @t4949))) % 18.94/19.19 (assume @p3900 (forall @t5124 (= (tptp.hAPP @t4985 @t5200) (tptp.hAPP (tptp.hAPP @t3128 @t4962) @t1536)))) % 18.94/19.19 (assume @p3901 (forall @t5208 (= @t5192 (tptp.hAPP @t3934 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1650 tptp.tc_HOL_Obool @t1321) @t5138) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1321 @t1650 @t1650) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5136 @t4248 @t1321) @t2790) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1650 @t5136 @t1321) @t2789) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1321 @t5207 @t1650) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1322 (tptp.tc_fun @t5207 @t1650) @t1321) (tptp.c_COMBB @t1321 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t38 @t1321) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3962 tptp.tc_Nat_Onat) @t3953) @t5091)) @t5206))))) (tptp.hAPP @t2786 @t5204))))))) % 18.94/19.19 (assume @p3902 (forall @t5208 (= (tptp.hAPP @t5191 @t5209) (tptp.hAPP (tptp.hAPP @t4589 @t5141) (tptp.hAPP @t771 @t5196))))) % 18.94/19.19 (assume @p3903 (forall @t2539 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t207 @t1135) (tptp.hAPP @t5211 (tptp.c_List_Oupto @t2268 @t5210))))) % 18.94/19.19 (assume @p3904 (forall @t2539 (= @t5213 @t2269))) % 18.94/19.19 (assume @p3905 (forall @t2539 (= @t2269 @t5213))) % 18.94/19.19 (assume @p3906 (forall @t2539 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t207) @t1135) (tptp.hAPP @t5211 (tptp.c_List_Oupto @t207 @t5210))))) % 18.94/19.19 (assume @p3907 (forall @t2539 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t207 @t1135) (tptp.hAPP @t5211 @t5214)))) % 18.94/19.19 (assume @p3908 (forall @t3853 (= (tptp.c_List_Onat__list @t395) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t5211 @t395))))) % 18.94/19.19 (assume @p3909 (forall @t5142 (=> @t1502 (= @t5216 (tptp.hAPP (tptp.hAPP @t1505 @t5091) (tptp.hAPP @t2106 @t4951)))))) % 18.94/19.19 (assume @p3910 (forall (@list @t5217) (= (= (tptp.hAPP @t5221 @t5217) @t1949) @t5220))) % 18.94/19.19 (assume @p3911 (forall @t5017 (=> @t1970 (= (tptp.hAPP @t5222 @t5016) (tptp.hAPP @t1712 @t5223))))) % 18.94/19.19 (assume @p3912 (forall (@list @t5224 @t1791) (=> @t5230 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t5227) @t5225))))) % 18.94/19.19 (assume @p3913 (forall (@list @t1 @t2 @t4950 @t10) (=> (forall @t7 (=> @t5164 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t5167) (tptp.c_List_Olist_Olist__size @t10 @t1 @t4950)))))) % 18.94/19.19 (assume @p3914 (forall @t5233 (=> (tptp.hBOOL (tptp.hAPP @t1811 @t4962)) (= (tptp.c_List_Obutlast @t33 @t5115) @t5232)))) % 18.94/19.19 (assume @p3915 (forall @t5044 (=> @t5235 @t5146))) % 18.94/19.19 (assume @p3916 (forall @t5233 (=> @t5237 (= (tptp.hAPP @t5114 @t5236) @t5115)))) % 18.94/19.19 (assume @p3917 (forall @t4986 (= (tptp.hAPP @t4960 @t5236) @t5239))) % 18.94/19.19 (assume @p3918 (forall @t4986 (= @t5236 (tptp.hAPP (tptp.hAPP @t5113 @t5239) @t4957)))) % 18.94/19.19 (assume @p3919 (forall (@list @t1536 @t5224 @t1791) (=> @t5230 (= (tptp.hAPP @t5221 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t5224) @t1791) @t1536)) (tptp.hAPP (tptp.hAPP @t1548 (tptp.hAPP (tptp.hAPP @t1596 @t5225) @t1536)) @t5227))))) % 18.94/19.19 (assume @p3920 (forall (@list @t4956 @t4957 @t33 @t1791) (=> (tptp.hBOOL (tptp.hAPP @t1804 @t4962)) (=> (tptp.hBOOL (tptp.hAPP @t1804 @t4961)) (=> (forall @t456 (=> (tptp.hBOOL (tptp.hAPP @t2778 @t1791)) (= @t5242 (tptp.hAPP @t5241 @t452)))) (= (tptp.hAPP @t5240 @t4957) (tptp.hAPP @t5240 @t4956))))))) % 18.94/19.19 (assume @p3921 (forall @t5246 (=> (tptp.hBOOL (tptp.hAPP @t5012 @t1767)) (= @t5245 @t4957)))) % 18.94/19.19 (assume @p3922 (forall (@list @t32 @t4957 @t33 @t1766 @t1767) @t5251)) % 18.94/19.19 (assume @p3923 (forall @t5252 (= (tptp.hAPP @t5244 @t5118) @t4957))) % 18.94/19.19 (assume @p3924 (forall @t5246 (= (tptp.hAPP @t4960 @t5245) @t4962))) % 18.94/19.19 (assume @p3925 (forall (@list @t1234 @t207 @t4950 @t47 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5025) @t207) @t1234) (tptp.c_Nat_Onat_Onat__case @t4536 (tptp.hAPP (tptp.hAPP @t4996 @t1234) @t4950) (tptp.hAPP @t5254 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t10 @t4536) @t5253) @t1234)) @t207)))) % 18.94/19.19 (assume @p3926 (forall (@list @t64 @t4957 @t32 @t33) (= (tptp.hAPP (tptp.hAPP @t5257 @t1949) @t64) @t5256))) % 18.94/19.19 (assume @p3927 (forall (@list @t64 @t1767 @t4957 @t32 @t33) (= (tptp.hAPP (tptp.hAPP @t5257 @t2485) @t64) (tptp.hAPP @t5010 @t5258)))) % 18.94/19.19 (assume @p3928 (forall (@list @t64 @t32 @t1767 @t4957 @t33) (= (tptp.hAPP (tptp.hAPP @t5259 @t1767) @t64) @t5258))) % 18.94/19.19 (assume @p3929 (forall (@list @t5260 @t32 @t4957 @t33 @t5261 @t1767) (=> (not (= @t1767 @t5261)) (= (tptp.hAPP (tptp.hAPP @t5259 @t5261) @t5260) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t33 (tptp.hAPP (tptp.hAPP @t5243 @t5261) @t5260)) @t1767) @t32))))) % 18.94/19.19 (assume @p3930 (forall (@list @t5262 @t1767 @t4956 @t4957 @t10 @t33) (= (tptp.hAPP @t5264 @t5262) (tptp.hAPP (tptp.hAPP @t5181 (tptp.hAPP @t5244 (tptp.hAPP @t4228 @t5262))) (tptp.hAPP @t5263 (tptp.hAPP @t4226 @t5262)))))) % 18.94/19.19 (assume @p3931 (forall (@list @t64 @t4956 @t32 @t1767 @t4957 @t10 @t33) (= (tptp.hAPP (tptp.hAPP @t5181 @t5245) (tptp.hAPP @t5263 @t64)) (tptp.hAPP @t5264 @t4230)))) % 18.94/19.19 (assume @p3932 (forall (@list @t207 @t47 @t23 @t4950 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5157 @t23)) (=> @t335 (tptp.hBOOL (tptp.hAPP @t5267 @t23)))))) % 18.94/19.19 (assume @p3933 (forall (@list @t47 @t207 @t4950 @t10) (tptp.hBOOL (tptp.hAPP @t5267 @t5148)))) % 18.94/19.19 (assume @p3934 (forall (@list @t32 @t4957 @t33 @t1767) (=> @t5198 (= (tptp.hAPP @t5248 @t1767) @t32)))) % 18.94/19.19 (assume @p3935 (forall (@list @t47 @t4950 @t10 @t207) (=> @t5269 (= (= @t5266 @t4950) (= @t5268 @t47))))) % 18.94/19.19 (assume @p3936 (forall (@list @t32 @t1766 @t4957 @t33 @t1767) (=> @t5198 (and (=> @t5250 (= @t5249 @t32)) @t5251)))) % 18.94/19.19 (assume @p3937 (forall (@list @t47 @t4950 @t10 @t831) (=> @t5173 (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP @t5127 (tptp.hAPP (tptp.hAPP @t5253 @t831) @t47))))))) % 18.94/19.19 (assume @p3938 (forall (@list @t32 @t4957 @t33 @t1791) (and (=> @t5273 (= @t5272 @t5236)) (=> @t5274 (= @t5272 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t33 @t5236) @t1791) @t32)))))) % 18.94/19.19 (assume @p3939 (forall @t5060 (= @t5059 (exists (@list @t195 @t2225) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t5093 @t195)) @t124)) @t5095 (= @t4947 (tptp.hAPP (tptp.hAPP @t5253 @t2225) @t195))))))) % 18.94/19.19 (assume @p3940 (forall (@list @t207 @t219 @t4950 @t10) (=> @t5277 (=> (not (tptp.hBOOL (tptp.hAPP @t250 (tptp.hAPP @t5276 (tptp.hAPP (tptp.hAPP @t822 @t5268) @t749))))) (tptp.hBOOL (tptp.hAPP @t5275 (tptp.hAPP @t5265 @t219))))))) % 18.94/19.19 (assume @p3941 (forall @t5117 (=> @t5279 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4959) @t5200))))) % 18.94/19.19 (assume @p3942 (forall @t5281 (=> @t5279 (tptp.hBOOL (tptp.hAPP @t5280 @t5183))))) % 18.94/19.19 (assume @p3943 (forall (@list @t4957 @t10 @t4956 @t33) (=> (tptp.hBOOL (tptp.hAPP @t5278 @t4956)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_prod @t10 @t33)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t10 @t33) @t4957) @t4956)))))) % 18.94/19.19 (assume @p3944 (forall @t4991 (=> @t5277 (tptp.hBOOL (tptp.hAPP @t5275 @t4990))))) % 18.94/19.19 (assume @p3945 (forall @t5281 (=> @t5279 (=> (tptp.hBOOL (tptp.hAPP @t5275 @t4956)) (tptp.hBOOL (tptp.hAPP @t5280 (tptp.c_Enum_Oproduct @t33 @t10 @t4957 @t4956))))))) % 18.94/19.19 (assume @p3946 (forall @t1881 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t5282)))) % 18.94/19.19 (assume @p3947 (forall @t5252 (=> @t5279 (tptp.hBOOL (tptp.hAPP @t5278 @t5284))))) % 18.94/19.19 (assume @p3948 (forall @t5044 (= (tptp.hBOOL (tptp.hAPP @t5275 @t5025)) @t5285))) % 18.94/19.19 (assume @p3949 (forall @t5142 (=> @t5286 @t5277))) % 18.94/19.19 (assume @p3950 (forall @t5142 (=> @t5277 @t5286))) % 18.94/19.19 (assume @p3951 (forall @t5289 (=> @t5277 (=> @t5269 (=> (tptp.hBOOL (tptp.hAPP @t5288 @t4951)) (= (= @t5268 @t5287) (= @t207 @t1135))))))) % 18.94/19.19 (assume @p3952 (forall @t5142 (= @t5277 (forall @t456 (=> @t5102 (forall @t2519 (=> @t5291 (=> (not (= @t452 @t2517)) (not (= @t5101 @t5290)))))))))) % 18.94/19.19 (assume @p3953 (forall @t5142 (=> @t1502 (=> @t5277 (= @t5216 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t10) @t744) @t5141)))))) % 18.94/19.19 (assume @p3954 (forall @t51 (and (=> @t1292 (= @t5292 (tptp.hAPP @t4945 @t5293))) (=> @t2089 (= @t5292 @t1949))))) % 18.94/19.19 (assume @p3955 (forall @t5158 (=> @t5277 (= @t5296 @t5294)))) % 18.94/19.19 (assume @p3956 (forall @t5298 (=> @t5279 (tptp.hBOOL (tptp.hAPP @t5278 @t5297))))) % 18.94/19.19 (assume @p3957 (forall @t5300 (and (=> @t76 (= @t5299 @t4957)) (=> @t999 (= @t5299 (tptp.hAPP @t5255 @t5297)))))) % 18.94/19.19 (assume @p3958 (forall @t5302 (= (tptp.c_List_Oremove1 @t33 @t32 (tptp.c_List_Oremove1 @t33 @t64 @t5301)) (tptp.c_List_Oremove1 @t33 @t64 (tptp.c_List_Oremove1 @t33 @t32 @t5301))))) % 18.94/19.19 (assume @p3959 (forall @t5044 (=> @t5152 (= @t5295 @t4950)))) % 18.94/19.19 (assume @p3960 (forall @t5303 (=> @t5152 (not (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP @t5127 (tptp.c_List_Oremove1 @t10 @t97 @t4950)))))))) % 18.94/19.19 (assume @p3961 (forall (@list @t4950 @t10 @t216 @t219) (=> @t839 (= (tptp.hBOOL (tptp.hAPP @t250 (tptp.hAPP @t5127 (tptp.c_List_Oremove1 @t10 @t216 @t4950)))) @t5186)))) % 18.94/19.19 (assume @p3962 (forall @t5044 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t5296) @t5141)))) % 18.94/19.19 (assume @p3963 (forall @t5044 (and (=> @t5146 (= @t5304 (tptp.hAPP (tptp.hAPP @t1548 @t4951) @t1599))) (=> @t5152 (= @t5304 @t4951))))) % 18.94/19.19 (assume @p3964 (forall @t376 (=> @t127 (=> @t1292 (= @t5306 (tptp.c_List_Oremove1 @t10 @t47 @t5305)))))) % 18.94/19.19 (assume @p3965 (forall @t5109 (and (=> @t3706 (= @t5307 @t5308)) (=> @t5108 (= @t5307 (tptp.hAPP @t5010 (tptp.hAPP (tptp.hAPP @t5113 @t3543) @t4957))))))) % 18.94/19.19 (assume @p3966 (forall @t51 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5029 @t5309) @t5083)))) % 18.94/19.19 (assume @p3967 (forall @t5068 (=> (tptp.hBOOL (tptp.hAPP @t5311 @t5065)) @t5310))) % 18.94/19.19 (assume @p3968 (forall @t5068 (=> (tptp.hBOOL (tptp.hAPP @t5313 @t5065)) @t5310))) % 18.94/19.19 (assume @p3969 (forall @t819 (tptp.hBOOL (tptp.hAPP @t5278 @t5308)))) % 18.94/19.19 (assume @p3970 (forall @t5316 (=> @t5315 (=> @t5279 (tptp.hBOOL (tptp.hAPP @t5278 @t5236)))))) % 18.94/19.19 (assume @p3971 (forall @t37 (= (tptp.c_List_Oremove1 @t33 @t32 @t5308) @t5308))) % 18.94/19.19 (assume @p3972 (forall (@list @t4956 @t10 @t33) (= (tptp.hAPP (tptp.hAPP @t5181 @t5308) @t4956) @t5317))) % 18.94/19.19 (assume @p3973 (forall (@list @t4957 @t10 @t33) (= (tptp.hAPP @t5182 @t5309) @t5317))) % 18.94/19.19 (assume @p3974 (forall @t658 (=> @t127 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t749) @t5309)))) % 18.94/19.19 (assume @p3975 (forall @t51 (= (tptp.c_List_Osublist @t10 @t5309 @t23) @t5309))) % 18.94/19.19 (assume @p3976 (forall @t3489 (tptp.c_List_Olistrelp @t10 @t124 @t5309 @t5309))) % 18.94/19.19 (assume @p3977 (forall @t5318 (= (tptp.c_List_Olist_Olist__size @t10 @t1386 @t5309) @t1949))) % 18.94/19.19 (assume @p3978 (forall @t1880 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t1766) @t1767)) @t5320))) % 18.94/19.19 (assume @p3979 (forall (@list @t5321 @t10 @t33) (= (tptp.c_Enum_Oproduct @t33 @t10 @t5308 @t5321) @t5317))) % 18.94/19.19 (assume @p3980 (forall @t5324 (not (= @t5308 @t5323)))) % 18.94/19.19 (assume @p3981 (forall @t5324 (not (= @t5323 @t5308)))) % 18.94/19.19 (assume @p3982 (forall @t819 (= (tptp.c_Enum_Osublists @t33 @t5308) @t5328))) % 18.94/19.19 (assume @p3983 (forall @t4986 (= (tptp.hAPP (tptp.hAPP @t5113 @t1949) @t4957) @t5308))) % 18.94/19.19 (assume @p3984 (forall @t5145 (= (= @t5143 @t5309) (or @t1987 @t5310)))) % 18.94/19.19 (assume @p3985 (forall @t1964 (= (tptp.hAPP @t5114 @t5308) @t5308))) % 18.94/19.19 (assume @p3986 (forall (@list @t33 @t1536) (and (=> @t1990 (= @t5329 @t5328)) (=> @t1991 (= @t5329 @t5325))))) % 18.94/19.19 (assume @p3987 (forall @t4986 (= (tptp.c_Enum_On__lists @t33 @t1949 @t4957) @t5328))) % 18.94/19.19 (assume @p3988 (forall @t5142 (= (= @t5141 @t749) @t5310))) % 18.94/19.19 (assume @p3989 (forall @t5142 (= (= @t749 @t5141) @t5310))) % 18.94/19.19 (assume @p3990 (forall @t658 (= (tptp.hAPP @t5127 @t5309) @t749))) % 18.94/19.19 (assume @p3991 (forall @t5018 (and (=> @t5314 (= @t5330 @t5308)) (=> @t5315 (= @t5330 (tptp.hAPP @t5010 @t5236)))))) % 18.94/19.19 (assume @p3992 (forall @t5142 (= (= @t4951 @t1949) @t5310))) % 18.94/19.19 (assume @p3993 (forall @t819 (= (tptp.hAPP @t4960 @t5308) @t1949))) % 18.94/19.19 (assume @p3994 (forall @t819 (= (tptp.c_List_Obutlast @t33 @t5308) @t5308))) % 18.94/19.19 (assume @p3995 (forall @t819 (=> @t1970 (= (tptp.hAPP @t5222 @t5308) @t1955)))) % 18.94/19.19 (assume @p3996 (forall (@list @t64 @t1767 @t33) (= (tptp.hAPP @t5331 @t64) @t5308))) % 18.94/19.19 (assume @p3997 (forall (@list @t2151 @t1767 @t33) (= (tptp.hAPP @t5331 @t2151) @t5308))) % 18.94/19.19 (assume @p3998 (forall (@list @t47 @t118 @t4950 @t10) (= (= (tptp.hAPP (tptp.hAPP @t5253 @t118) @t47) @t5309) @t5310))) % 18.94/19.19 (assume @p3999 (forall @t5142 (= (tptp.c_List_Osublist @t10 @t4950 @t1816) @t5309))) % 18.94/19.19 (assume @p4000 (forall @t5142 (= @t5171 @t5332))) % 18.94/19.19 (assume @p4001 (forall @t5017 (= (tptp.hAPP (tptp.hAPP @t5113 @t1599) @t5016) @t5333))) % 18.94/19.19 (assume @p4002 (forall @t5068 (not (tptp.hBOOL (tptp.hAPP @t5313 @t5045))))) % 18.94/19.19 (assume @p4003 (forall @t5068 (not (tptp.hBOOL (tptp.hAPP @t5311 @t5045))))) % 18.94/19.19 (assume @p4004 (forall @t3489 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 @t5334) @t5065)))) % 18.94/19.19 (assume @p4005 (forall @t3513 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5003 @t5309)) @t5002))))) % 18.94/19.19 (assume @p4006 (forall @t5068 (not (tptp.hBOOL (tptp.hAPP @t5311 @t4546))))) % 18.94/19.19 (assume @p4007 (forall (@list @t124 @t4947 @t10) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5312 @t4947)) @t4546))))) % 18.94/19.19 (assume @p4008 (forall @t5336 (= (tptp.hAPP @t5120 @t5025) (tptp.c_Nat_Onat_Onat__case @t4536 @t5309 (tptp.hAPP @t5254 (tptp.hAPP (tptp.hAPP @t5335 @t5110) @t4950)) @t831)))) % 18.94/19.19 (assume @p4009 (forall @t1881 (and (=> @t2303 (= @t5282 (tptp.hAPP (tptp.hAPP @t5338 @t1767) (tptp.c_List_Oupto @t5337 @t1766)))) (=> (not @t2303) @t5320)))) % 18.94/19.19 (assume @p4010 (forall (@list @t47 @t10 @t23) (and (=> @t5342 (= @t5340 @t5339)) (=> (not @t5342) (= @t5340 @t5309))))) % 18.94/19.19 (assume @p4011 (forall @t658 (= (tptp.c_List_Olists @t10 @t749) @t5343))) % 18.94/19.19 (assume @p4012 (forall @t5106 (and (=> @t1990 (= @t5344 @t5308)) (=> @t1991 (= @t5344 (tptp.hAPP @t5010 @t5232)))))) % 18.94/19.19 (assume @p4013 (forall @t1852 (and (=> @t5347 (= @t5346 (tptp.hAPP (tptp.hAPP @t5338 @t5345) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t2201 @t5345) @t2205) @t3865)))) (=> (not @t5347) (= @t5346 @t5319))))) % 18.94/19.19 (assume @p4014 (forall @t3489 (= (tptp.hAPP @t5066 @t5343) @t5343))) % 18.94/19.19 (assume @p4015 (forall @t51 (= (tptp.c_List_Oset__Cons @t10 @t23 @t5343) (tptp.hAPP (tptp.c_Set_Oimage @t10 @t4536 @t5350) @t23)))) % 18.94/19.19 (assume @p4016 (forall @t2539 (=> (tptp.hBOOL (tptp.hAPP @t5352 (tptp.hAPP (tptp.hAPP @t3946 @t207) @t1135))) (and (=> @t5351 (= @t5212 (tptp.hAPP (tptp.hAPP @t5338 @t207) @t5214))) (=> (not @t5351) (= @t5212 @t5319)))))) % 18.94/19.19 (assume @p4017 (forall (@list @t2608 @t10 @t4950) (=> @t5332 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 (tptp.hAPP @t5354 (tptp.hAPP @t5353 @t2608))) @t5141))))) % 18.94/19.19 (assume @p4018 (forall @t658 (= (tptp.c_List_Olistset @t10 (tptp.c_List_Olist_ONil @t25)) @t5343))) % 18.94/19.19 (assume @p4019 (forall (@list @t4947 @t97 @t4950 @t38 @t10) (= (tptp.hAPP @t5189 @t5362) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5355 @t10 @t5359 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5358 @t5358) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5357 (tptp.tc_fun @t5358 @t5358) @t10) (tptp.c_COMBB @t5355 @t5355 @t4536)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1321 @t5357 @t10) @t5356) (tptp.hAPP @t4629 @t97)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4536 @t5201 @t5355) @t5188) @t4947))) @t4950)))) % 18.94/19.19 (assume @p4020 (forall (@list @t5014 @t219 @t2781 @t2780 @t38 @t10) (= (tptp.hAPP @t5364 (tptp.hAPP (tptp.hAPP @t5360 @t219) @t5014)) (tptp.hAPP @t5363 @t5014)))) % 18.94/19.19 (assume @p4021 (forall @t5366 (= (tptp.hAPP @t5364 @t5365) @t2780))) % 18.94/19.19 (assume @p4022 (forall (@list @t5367 @t23 @t10) (= (tptp.c_List_Olistset @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t25) @t23) @t5367)) (tptp.c_List_Oset__Cons @t10 @t23 (tptp.c_List_Olistset @t10 @t5367))))) % 18.94/19.19 (assume @p4023 (forall @t5369 (= (tptp.hAPP (tptp.hAPP @t5188 @t5025) @t4947) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5355 @t38 @t5359 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 @t5368 @t5368) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5357 (tptp.tc_fun @t5368 @t5368) @t38) (tptp.c_COMBB @t5355 @t5355 @t5201)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1321 @t5357 @t38) @t5356) @t3954))) @t5189)) @t4947)))) % 18.94/19.19 (assume @p4024 (forall @t4185 (=> (tptp.hBOOL (tptp.hAPP @t5352 @t4184)) (=> (forall @t3396 (=> (tptp.hBOOL (tptp.hAPP @t5352 (tptp.hAPP (tptp.hAPP @t3946 @t452) @t2517))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2186 @t452) @t2517)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t56 @t5370) @t2517))) @t3409))) @t4178)))) % 18.94/19.19 (assume @p4025 (forall @t4749 (and (=> @t4747 (= @t5378 @t5377)) (=> @t4748 (= @t5378 (tptp.c_Option_Ooption_Ooption__case @t5373 @t1321 @t5377 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t38 @t5373) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5374 @t5374) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5376 (tptp.tc_fun @t5374 @t5374) @t10) (tptp.c_COMBB @t5373 @t5373 @t38)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5375 @t5376 @t10) (tptp.c_Product__Type_Oprod_Oprod__case @t4536 @t38 @t5373)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5031 @t5375 @t10) (tptp.hAPP (tptp.c_COMBB @t4536 @t5374 @t4536) @t5372)) @t4996)))) (tptp.hAPP @t5371 @t4745))) @t49)))))) % 18.94/19.19 (assume @p4026 (forall (@list @t23 @t395 @t47 @t10) (= (tptp.c_List_Osublist @t10 @t5380 @t23) (tptp.hAPP (tptp.hAPP @t5379 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t4536) @t5341) @t5339) @t5309)) (tptp.c_List_Osublist @t10 @t395 (tptp.hAPP @t2791 (tptp.hAPP @t2796 @t23))))))) % 18.94/19.19 (assume @p4027 (forall (@list @t124 @t97 @t4947 @t47 @t4950 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t4952 @t5385) @t5383)) @t5045)) (or (and @t5059 @t98) (and @t5061 @t4289))))) % 18.94/19.19 (assume @p4028 (forall (@list @t4950 @t47 @t5071 @t4947 @t10) (= (= @t5391 @t5025) (or (and @t5390 (= @t5071 @t5025)) (exists @t5389 (and (= @t4947 @t5388) (= @t5387 @t4950))))))) % 18.94/19.19 (assume @p4029 (forall (@list @t5071 @t4947 @t4950 @t47 @t10) (= (= @t5025 @t5391) (or (and @t5390 (= @t5025 @t5071)) (exists @t5389 (and (= @t5388 @t4947) (= @t4950 @t5387))))))) % 18.94/19.19 (assume @p4030 (forall (@list @t97 @t4947 @t47 @t4950 @t10) (= (= @t5385 @t5383) (and @t5061 @t98)))) % 18.94/19.19 (assume @p4031 (forall @t5395 (= (tptp.hAPP (tptp.hAPP @t5392 @t5016) @t4956) (tptp.hAPP @t5010 @t5394)))) % 18.94/19.19 (assume @p4032 (forall (@list @t5301 @t4957 @t4956 @t5397 @t32 @t33) (=> (= (tptp.hAPP @t5010 @t5397) @t4956) (=> (= @t4957 (tptp.hAPP @t5398 @t5301)) (= @t5016 @t5396))))) % 18.94/19.19 (assume @p4033 (forall (@list @t23 @t4947 @t4950 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5029 @t5399) @t5083)) (and @t5087 (tptp.hBOOL (tptp.hAPP @t5199 @t5083)))))) % 18.94/19.19 (assume @p4034 (forall (@list @t5400 @t4956 @t5301 @t5397 @t4957 @t33) (=> (= (tptp.hAPP @t5393 @t5397) @t5301) (=> (= @t4956 (tptp.hAPP @t5398 @t5400)) (= @t5394 (tptp.hAPP (tptp.hAPP @t5392 @t5301) @t5400)))))) % 18.94/19.19 (assume @p4035 (forall (@list @t5071 @t4950 @t4947 @t10) (= (= (tptp.hAPP @t5382 @t4950) (tptp.hAPP @t5402 @t4950)) @t5401))) % 18.94/19.19 (assume @p4036 (forall @t5403 (= (= @t5399 (tptp.hAPP @t5384 @t5071)) @t5401))) % 18.94/19.19 (assume @p4037 (forall (@list @t8 @t5071 @t4947 @t4950 @t10) (= (= @t5399 (tptp.hAPP @t5402 @t8)) (exists (@list @t5404) (or (and (= @t4950 (tptp.hAPP @t5402 @t5404)) (= (tptp.hAPP @t5405 @t4947) @t8)) (and (= (tptp.hAPP @t5384 @t5404) @t5071) (= @t4947 (tptp.hAPP @t5405 @t8)))))))) % 18.94/19.19 (assume @p4038 (forall (@list @t5301 @t4956 @t4957 @t33) (= (tptp.hAPP (tptp.hAPP @t5392 @t5394) @t5301) (tptp.hAPP @t5393 @t5396)))) % 18.94/19.19 (assume @p4039 (forall @t5408 (= (tptp.hAPP @t5127 @t5399) @t5407))) % 18.94/19.19 (assume @p4040 (forall (@list @t5409 @t4956 @t5400 @t10 @t4957 @t33) (=> (= @t4962 (tptp.hAPP @t4945 @t5400)) (=> (= @t4961 (tptp.hAPP @t4945 @t5409)) (= (tptp.hAPP @t5412 (tptp.hAPP (tptp.hAPP @t5379 @t5400) @t5409)) (tptp.hAPP (tptp.hAPP @t5411 (tptp.hAPP @t5182 @t5400)) (tptp.hAPP @t5410 @t5409))))))) % 18.94/19.19 (assume @p4041 (forall @t4963 (= (tptp.hAPP @t4960 @t5394) @t5414))) % 18.94/19.19 (assume @p4042 (forall @t4963 (=> @t1970 (= (tptp.hAPP @t5222 @t5394) (tptp.hAPP (tptp.hAPP @t1627 @t5223) (tptp.hAPP @t5222 @t4956)))))) % 18.94/19.19 (assume @p4043 (forall @t5418 (and (=> @t5416 (= @t5415 @t5236)) (=> @t5417 (= @t5415 (tptp.hAPP @t5393 (tptp.c_List_Obutlast @t33 @t4956))))))) % 18.94/19.19 (assume @p4044 (forall @t5420 (= @t5419 @t4956))) % 18.94/19.19 (assume @p4045 (forall @t5408 (= (= @t5309 @t5399) @t5421))) % 18.94/19.19 (assume @p4046 (forall @t4986 (= (tptp.hAPP @t5393 @t5308) @t4957))) % 18.94/19.19 (assume @p4047 (forall (@list @t4947 @t10 @t4950) (= (= @t4950 @t5399) @t5390))) % 18.94/19.19 (assume @p4048 (forall (@list @t4950 @t10 @t4947) (= (= @t4947 @t5399) @t5310))) % 18.94/19.19 (assume @p4049 (forall @t5408 (= (= @t5399 @t5309) @t5421))) % 18.94/19.19 (assume @p4050 (forall @t5408 (= (= @t5399 @t4950) @t5390))) % 18.94/19.19 (assume @p4051 (forall @t5408 (= (= @t5399 @t4947) @t5310))) % 18.94/19.19 (assume @p4052 (forall (@list @t33 @t4956 @t4957) (=> @t4958 (= @t4957 @t5419)))) % 18.94/19.19 (assume @p4053 (forall (@list @t4956 @t32 @t4957 @t33) (= (tptp.hAPP (tptp.hAPP @t5097 @t5422) @t4962) @t32))) % 18.94/19.19 (assume @p4054 (forall (@list @t1536 @t4956 @t4957 @t33) (= (tptp.hAPP @t5423 (tptp.hAPP @t5413 @t1536)) (tptp.hAPP @t5241 @t1536)))) % 18.94/19.19 (assume @p4055 (forall @t5426 (= (tptp.hAPP @t5114 @t5394) (tptp.hAPP @t5425 (tptp.hAPP (tptp.hAPP @t5113 @t5424) @t4956))))) % 18.94/19.19 (assume @p4056 (forall (@list @t32 @t4956 @t4957 @t33 @t1767) (=> @t5198 (= (tptp.hAPP (tptp.hAPP @t5427 @t1767) @t32) (tptp.hAPP (tptp.hAPP @t5392 @t5245) @t4956))))) % 18.94/19.19 (assume @p4057 (forall (@list @t64 @t4956 @t32 @t4957 @t33) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t33 @t5422) @t4962) @t64) (tptp.hAPP @t5393 @t5428)))) % 18.94/19.19 (assume @p4058 (forall @t5430 (and (=> @t5146 (= @t5429 (tptp.hAPP (tptp.hAPP @t5379 @t5295) @t4947))) (=> @t5152 (= @t5429 (tptp.hAPP @t5384 (tptp.c_List_Oremove1 @t10 @t47 @t4947))))))) % 18.94/19.19 (assume @p4059 (forall @t5430 (=> (or @t5235 (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP @t5127 @t5431)))) (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP @t5127 (tptp.c_List_Obutlast @t10 @t5399))))))) % 18.94/19.19 (assume @p4060 (forall @t5298 (= (tptp.c_List_Obutlast @t33 @t5432) @t4957))) % 18.94/19.19 (assume @p4061 (forall (@list @t5433 @t5434 @t124 @t4947 @t4950 @t10) (=> (or (and @t5059 (= @t5434 @t5433)) (and @t5061 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t4952 @t5434) @t5433)) @t5045)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t4952 @t5435) (tptp.hAPP @t5382 @t5433))) @t5045))))) % 18.94/19.19 (assume @p4062 (forall (@list @t47 @t124 @t1234 @t192 @t10) (=> @t5438 @t5437))) % 18.94/19.19 (assume @p4063 (forall @t5408 (= (tptp.hBOOL (tptp.hAPP @t5275 @t5399)) (and @t5277 @t5439 (= (tptp.hAPP (tptp.hAPP @t601 @t5141) @t5406) @t749))))) % 18.94/19.19 (assume @p4064 (forall (@list @t4956 @t4957 @t33 @t1536) (and (=> @t5237 (= @t5440 @t5100)) (=> @t5441 (= @t5440 (tptp.hAPP @t5241 @t5424)))))) % 18.94/19.19 (assume @p4065 (forall (@list @t32 @t4956 @t4957 @t33 @t1536) (and (=> @t5237 (= @t5442 (tptp.hAPP (tptp.hAPP @t5392 (tptp.hAPP (tptp.hAPP @t5243 @t1536) @t32)) @t4956))) (=> @t5441 (= @t5442 (tptp.hAPP @t5393 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t33 @t4956) @t5424) @t32))))))) % 18.94/19.19 (assume @p4066 (forall (@list @t23 @t5443 @t395 @t10) (= (tptp.c_List_Osublist @t10 (tptp.hAPP (tptp.hAPP @t5379 @t395) @t5443) @t23) (tptp.hAPP (tptp.hAPP @t5379 (tptp.c_List_Osublist @t10 @t395 @t23)) (tptp.c_List_Osublist @t10 @t5443 (tptp.hAPP @t2791 (tptp.hAPP (tptp.hAPP @t2787 (tptp.hAPP @t2795 (tptp.hAPP @t1605 (tptp.hAPP @t4945 @t395)))) @t23))))))) % 18.94/19.19 (assume @p4067 (forall (@list @t4947 @t5433 @t5434 @t4950 @t124 @t97 @t47 @t10) (=> @t4289 (=> (= @t4950 (tptp.hAPP @t5444 (tptp.hAPP @t5024 @t5433))) (=> (= @t4947 (tptp.hAPP @t5444 (tptp.hAPP @t5022 @t5433))) @t5059))))) % 18.94/19.19 (assume @p4068 (forall (@list @t97 @t47 @t192 @t124 @t216 @t219 @t10) (=> @t4279 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t4952 (tptp.hAPP @t5445 @t5008)) (tptp.hAPP @t5445 @t5006))) @t5002))))) % 18.94/19.19 (assume @p4069 (forall @t5448 (=> @t5198 (= (tptp.hAPP (tptp.hAPP @t5113 @t2485) @t4957) (tptp.hAPP @t5447 (tptp.hAPP @t5446 @t5308)))))) % 18.94/19.19 (assume @p4070 (forall @t5060 (=> @t5059 (not (forall @t1131 (=> @t4320 (forall @t5450 (=> (= @t4950 (tptp.hAPP @t5405 (tptp.hAPP @t5075 @t5449))) (not (= @t4947 (tptp.hAPP @t5405 (tptp.hAPP @t5082 @t5449)))))))))))) % 18.94/19.19 (assume @p4071 (forall (@list @t124 @t1234 @t192 @t47 @t10) (=> @t5437 (=> (forall @t1455 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t5112 @t1294)) @t124)))) @t5438)))) % 18.94/19.19 (assume @p4072 (forall @t5142 (= @t5454 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4536 @t10 @t5309 (tptp.hAPP (tptp.hAPP @t5452 @t5451) @t5350)) @t4950)))) % 18.94/19.19 (assume @p4073 (forall (@list @t81 @t4957 @t33 @t1767) (=> @t5198 (= (tptp.hAPP @t5244 @t81) (tptp.hAPP @t5447 (tptp.hAPP @t5020 @t5456)))))) % 18.94/19.19 (assume @p4074 (forall @t5124 (= (tptp.hAPP @t5425 @t5458) @t4957))) % 18.94/19.19 (assume @p4075 (forall @t5017 (= (tptp.hAPP (tptp.hAPP @t5455 @t1599) @t5016) @t4957))) % 18.94/19.19 (assume @p4076 (forall @t5126 (= (tptp.hAPP @t5459 @t5016) @t5458))) % 18.94/19.19 (assume @p4077 (forall (@list @t4956 @t64 @t4957 @t1536 @t33) (=> (= @t5458 @t5428) (= @t5100 @t64)))) % 18.94/19.19 (assume @p4078 (forall @t5252 (=> @t5279 (tptp.hBOOL (tptp.hAPP @t5278 @t5461))))) % 18.94/19.19 (assume @p4079 (forall @t5142 (= (tptp.hBOOL (tptp.hAPP @t5275 @t5454)) @t5277))) % 18.94/19.19 (assume @p4080 (forall @t5185 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t5184) @t1536) @t5183) (tptp.hAPP (tptp.hAPP @t5181 @t5458) (tptp.hAPP (tptp.hAPP @t5462 @t1536) @t4956))))) % 18.94/19.19 (assume @p4081 (forall @t4986 (= (tptp.hAPP (tptp.hAPP @t5455 @t1949) @t4957) @t4957))) % 18.94/19.19 (assume @p4082 (forall @t5122 (= (tptp.hAPP @t5457 @t5464) (tptp.hAPP (tptp.hAPP @t5455 @t1851) @t4957)))) % 18.94/19.19 (assume @p4083 (forall @t5122 (= (tptp.hAPP @t5457 @t5121) (tptp.hAPP (tptp.hAPP @t5113 @t1810) @t5458)))) % 18.94/19.19 (assume @p4084 (forall @t5122 (= (tptp.hAPP @t5114 @t5464) (tptp.hAPP @t5463 (tptp.hAPP (tptp.hAPP @t5113 @t1851) @t4957))))) % 18.94/19.19 (assume @p4085 (forall @t5147 (=> (tptp.hBOOL (tptp.hAPP @t334 @t5467)) @t5146))) % 18.94/19.19 (assume @p4086 (forall @t5142 (= (tptp.hAPP @t5127 @t5454) @t5141))) % 18.94/19.19 (assume @p4087 (forall @t5145 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t5467) @t5141)))) % 18.94/19.19 (assume @p4088 (forall @t5124 (= (tptp.hAPP @t4960 @t5458) (tptp.hAPP @t5238 @t1536)))) % 18.94/19.19 (assume @p4089 (forall @t4986 (= (tptp.hAPP @t4960 @t5469) @t4962))) % 18.94/19.19 (assume @p4090 (forall @t5124 (= @t5471 @t5470))) % 18.94/19.19 (assume @p4091 (forall @t5124 (= @t5470 @t5471))) % 18.94/19.19 (assume @p4092 (forall @t1964 (= (tptp.hAPP @t5457 @t5308) @t5308))) % 18.94/19.19 (assume @p4093 (forall @t5142 (= (= @t5454 @t5309) @t5310))) % 18.94/19.19 (assume @p4094 (forall (@list @t4950 @t10 @t561 @t831) (=> @t2492 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t5127 (tptp.hAPP (tptp.hAPP @t5462 @t561) @t4950))) @t5467))))) % 18.94/19.19 (assume @p4095 (forall @t5145 (= (= @t5466 @t5309) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t4951) @t831))))) % 18.94/19.19 (assume @p4096 (forall @t5117 (=> @t5116 (= @t5458 @t5308)))) % 18.94/19.19 (assume @p4097 (forall @t5426 (= (tptp.hAPP @t5457 @t5394) (tptp.hAPP (tptp.hAPP @t5392 @t5458) (tptp.hAPP (tptp.hAPP @t5455 @t5424) @t4956))))) % 18.94/19.19 (assume @p4098 (forall @t5403 (= (= @t5399 @t5071) (and (= @t4950 (tptp.hAPP (tptp.hAPP @t5110 @t4951) @t5071)) (= @t4947 (tptp.hAPP (tptp.hAPP @t5462 @t4951) @t5071)))))) % 18.94/19.19 (assume @p4099 (forall @t5336 (= (tptp.hAPP @t5465 @t5025) (tptp.c_Nat_Onat_Onat__case @t4536 @t5025 (tptp.hAPP (tptp.hAPP @t5335 @t5462) @t4950) @t831)))) % 18.94/19.19 (assume @p4100 (forall @t5106 (and (=> @t1990 (= @t5472 @t5016)) (=> @t1991 (= @t5472 (tptp.hAPP (tptp.hAPP @t5455 @t2582) @t4957)))))) % 18.94/19.19 (assume @p4101 (forall (@list @t4957 @t33 @t1767 @t1536) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t5473) @t4962)) (= (tptp.hAPP (tptp.hAPP @t5097 @t5458) @t1767) (tptp.hAPP @t5099 @t5473))))) % 18.94/19.19 (assume @p4102 (forall (@list @t5474 @t5477 @t5475 @t5476 @t10) (= (= (tptp.hAPP (tptp.hAPP @t5379 @t5476) @t5475) (tptp.hAPP (tptp.hAPP @t5379 @t5477) @t5474)) (and (=> @t5480 (and (= @t5476 (tptp.hAPP (tptp.hAPP @t5110 @t5479) @t5477)) (= @t5475 (tptp.hAPP (tptp.hAPP @t5379 (tptp.hAPP (tptp.hAPP @t5462 @t5479) @t5477)) @t5474)))) (=> (not @t5480) (and (= (tptp.hAPP (tptp.hAPP @t5110 @t5478) @t5476) @t5477) (= (tptp.hAPP (tptp.hAPP @t5379 (tptp.hAPP (tptp.hAPP @t5462 @t5478) @t5476)) @t5475) @t5474))))))) % 18.94/19.19 (assume @p4103 (forall @t5448 (=> @t5198 (= @t5481 @t5461)))) % 18.94/19.19 (assume @p4104 (forall (@list @t4957 @t32 @t10 @t33) (and (= (tptp.hAPP @t5468 @t5308) @t5308) (= (tptp.hAPP @t5453 (tptp.hAPP @t5482 @t4957)) (tptp.hAPP (tptp.hAPP @t5379 @t4957) (tptp.hAPP @t5482 @t5309)))))) % 18.94/19.19 (assume @p4105 (forall @t5109 (and (=> @t3706 (= @t5483 @t5016)) (=> @t5108 (= @t5483 (tptp.hAPP (tptp.hAPP @t5455 @t3543) @t4957)))))) % 18.94/19.19 (assume @p4106 (forall (@list @t4957 @t33 @t1766 @t1767) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t1793) @t4962)) (= (tptp.hAPP (tptp.hAPP @t5113 @t1793) @t4957) (tptp.hAPP @t5447 (tptp.hAPP (tptp.hAPP @t5113 @t1766) @t5461)))))) % 18.94/19.19 (assume @p4107 (forall @t4986 (=> @t5484 (= @t5469 @t4957)))) % 18.94/19.19 (assume @p4108 (forall @t5485 (= (tptp.hAPP @t5182 (tptp.hAPP (tptp.hAPP @t5379 @t4956) @t5301)) (tptp.hAPP (tptp.hAPP @t5411 (tptp.hAPP (tptp.hAPP @t5181 (tptp.hAPP (tptp.hAPP @t5113 @t5180) @t4957)) @t4956)) (tptp.hAPP (tptp.hAPP @t5181 (tptp.hAPP (tptp.hAPP @t5455 @t5180) @t4957)) @t5301))))) % 18.94/19.19 (assume @p4109 (forall @t5485 (= (tptp.hAPP @t5412 @t5301) (tptp.hAPP (tptp.hAPP @t5411 (tptp.hAPP @t5182 (tptp.hAPP (tptp.hAPP @t5110 @t4962) @t5301))) (tptp.hAPP @t5410 (tptp.hAPP (tptp.hAPP @t5462 @t4962) @t5301)))))) % 18.94/19.19 (assume @p4110 (forall @t5448 (=> @t5198 (= @t4957 (tptp.hAPP @t5447 @t5481))))) % 18.94/19.19 (assume @p4111 (forall @t5233 (=> @t5237 (= (tptp.hAPP @t5425 (tptp.hAPP (tptp.hAPP @t5009 @t5488) @t5308)) @t5486)))) % 18.94/19.19 (assume @p4112 (forall @t5489 (=> @t5315 (=> @t5237 (= @t5488 @t5100))))) % 18.94/19.19 (assume @p4113 (forall @t5017 (= (tptp.hAPP @t5487 @t5016) @t32))) % 18.94/19.19 (assume @p4114 (forall @t5493 @t5492)) % 18.94/19.19 (assume @p4115 (forall @t5493 (and (=> @t5314 (= @t5491 (tptp.hAPP @t5487 @t4956))) @t5492))) % 18.94/19.19 (assume @p4116 (forall @t5496 (=> @t5332 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t5495) @t5141))))) % 18.94/19.19 (assume @p4117 (forall @t5316 (=> @t5315 (= @t5490 (tptp.hAPP @t5099 @t1949))))) % 18.94/19.19 (assume @p4118 (forall @t5316 (=> @t5315 (= @t5469 (tptp.hAPP @t5500 (tptp.hAPP @t5497 @t5308)))))) % 18.94/19.19 (assume @p4119 (forall @t5489 (=> @t5315 (= (tptp.hAPP @t5487 @t5503) (tptp.hAPP @t5099 @t5501))))) % 18.94/19.19 (assume @p4120 (forall @t5124 (= @t5505 @t5504))) % 18.94/19.19 (assume @p4121 (forall @t5124 (= @t5504 @t5505))) % 18.94/19.19 (assume @p4122 (forall @t5017 (= (tptp.hAPP @t5498 @t5016) @t4957))) % 18.94/19.19 (assume @p4123 (forall @t4986 (=> @t5279 (tptp.hBOOL (tptp.hAPP @t5278 @t5499))))) % 18.94/19.19 (assume @p4124 (forall @t5145 (= (tptp.hBOOL (tptp.hAPP @t5275 @t5507)) @t5277))) % 18.94/19.19 (assume @p4125 (forall @t1025 (= (tptp.c_List_Orotate @t10 @t1994) (tptp.hAPP (tptp.c_Fun_Ocomp @t4536 @t4536 @t4536 (tptp.c_List_Orotate @t10 @t561)) @t5506)))) % 18.94/19.19 (assume @p4126 (forall @t658 (= (tptp.c_List_Orotate @t10 @t1949) @t5508))) % 18.94/19.19 (assume @p4127 (forall (@list @t4957 @t1536 @t1537 @t33) (= (tptp.hAPP (tptp.c_List_Orotate @t33 @t1537) @t5503) (tptp.hAPP (tptp.c_List_Orotate @t33 @t1845) @t4957)))) % 18.94/19.19 (assume @p4128 (forall @t5145 (= (tptp.hAPP @t5127 @t5507) @t5141))) % 18.94/19.19 (assume @p4129 (forall @t5124 (= (tptp.hAPP @t4960 @t5503) @t4962))) % 18.94/19.19 (assume @p4130 (forall @t819 (= (tptp.hAPP @t5498 @t5308) @t5308))) % 18.94/19.19 (assume @p4131 (forall @t5145 (= (= @t5507 @t5309) @t5310))) % 18.94/19.19 (assume @p4132 (forall @t832 (= @t5506 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t4536 @t4536) @t831) @t5453)))) % 18.94/19.19 (assume @p4133 (forall @t5124 (= @t5509 (tptp.hAPP @t5502 @t5469)))) % 18.94/19.19 (assume @p4134 (forall @t5493 (=> @t5315 (= (tptp.hAPP @t5498 @t5394) (tptp.hAPP @t5500 @t4956))))) % 18.94/19.19 (assume @p4135 (forall @t5124 (= @t5510 (tptp.hAPP @t5498 @t5486)))) % 18.94/19.19 (assume @p4136 (forall @t5124 (= @t5503 (tptp.hAPP (tptp.c_List_Orotate @t33 @t5501) @t4957)))) % 18.94/19.19 (assume @p4137 (forall @t5124 (= (tptp.hAPP @t5459 @t4957) @t5505))) % 18.94/19.19 (assume @p4138 (forall @t5124 (= (tptp.hAPP (tptp.c_List_Orotate @t33 @t2459) @t4957) @t5509))) % 18.94/19.19 (assume @p4139 (forall @t5408 (= (tptp.hAPP @t5511 @t5399) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4536 @t10 (tptp.hAPP @t5511 @t4947) (tptp.hAPP (tptp.c_COMBK @t5031 @t10) (tptp.hAPP @t5451 @t4947))) @t4950)))) % 18.94/19.19 (assume @p4140 (forall @t5233 (=> (= @t5501 @t1949) @t5512))) % 18.94/19.19 (assume @p4141 (forall @t5117 (=> @t5484 @t5512))) % 18.94/19.19 (assume @p4142 (forall @t4986 (= (tptp.hAPP @t4960 @t5499) @t5239))) % 18.94/19.19 (assume @p4143 (forall @t5124 (= (tptp.hAPP @t5498 @t5115) (tptp.hAPP @t5231 @t5499)))) % 18.94/19.19 (assume @p4144 (forall @t5489 (=> @t5315 (= @t5486 (tptp.hAPP @t5497 @t5510))))) % 18.94/19.19 (assume @p4145 (forall @t5124 (= @t5503 (tptp.hAPP (tptp.hAPP @t5392 (tptp.hAPP (tptp.hAPP @t5455 @t5501) @t4957)) (tptp.hAPP (tptp.hAPP @t5113 @t5501) @t4957))))) % 18.94/19.19 (assume @p4146 (forall @t5142 (=> @t1269 (=> @t5332 (= (tptp.hAPP @t1446 @t5141) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1212 @t5495) (tptp.hAPP @t5511 @t4950))))))) % 18.94/19.19 (assume @p4147 (forall (@list @t124 @t47 @t10 @t97) (=> (exists (@list @t1217 @t2859) (= @t97 (tptp.hAPP (tptp.hAPP @t4996 @t1217) @t2859))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5003 (tptp.hAPP @t5436 @t97))) @t5002))))) % 18.94/19.19 (assume @p4148 (forall @t1145 (= (tptp.hAPP @t5513 @t5365) @t219))) % 18.94/19.19 (assume @p4149 (forall (@list @t5217 @t831 @t561) (=> @t1516 (tptp.hBOOL (tptp.hAPP @t1515 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1596 @t831) @t5217)))))) % 18.94/19.19 (assume @p4150 (forall @t5514 (=> (tptp.class_Groups_Osemigroup__add @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1594 @t2022) @t5071) (tptp.hAPP @t2021 (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1594 @t97) @t5071)))))) % 18.94/19.19 (assume @p4151 (forall (@list @t5071 @t47 @t10) (=> @t5516 (= (tptp.hAPP @t2021 (tptp.hAPP @t5515 @t5071)) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1594 @t47) @t5071))))) % 18.94/19.19 (assume @p4152 (forall (@list @t4950 @t47 @t219 @t2 @t38 @t10) (= (tptp.hAPP @t5513 @t5518) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t38 @t2 (tptp.hAPP @t903 @t47)) @t4950)))) % 18.94/19.19 (assume @p4153 (forall (@list @t4947 @t4950 @t219 @t2 @t38 @t10) (= (tptp.hAPP @t5513 @t5521) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t38 @t2 @t5519) @t4947)))) % 18.94/19.19 (assume @p4154 (forall @t658 (=> @t5516 (= @t5215 @t5515)))) % 18.94/19.19 (assume @p4155 (forall (@list @t5217 @t561) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1596 @t561) @t5217) @t1949) (and @t1993 @t5220)))) % 18.94/19.19 (assume @p4156 (forall @t5524 (=> @t1204 (= @t5523 (tptp.hAPP @t5522 @t4950))))) % 18.94/19.19 (assume @p4157 (forall @t5142 (=> @t157 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t5141) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t466 @t752) @t4950))))) % 18.94/19.19 (assume @p4158 (forall @t5142 (=> @t157 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t5141) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t616 @t629) @t4950))))) % 18.94/19.19 (assume @p4159 (forall @t5044 (=> @t467 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t5149) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t466 @t47) @t4950))))) % 18.94/19.19 (assume @p4160 (forall @t5044 (=> @t467 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t5149) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t616 @t47) @t4950))))) % 18.94/19.19 (assume @p4161 (forall @t5044 (=> @t127 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t5149) @t5525)))) % 18.94/19.19 (assume @p4162 (forall @t5044 (=> @t127 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t5149) @t5526)))) % 18.94/19.19 (assume @p4163 (forall @t5044 (=> @t127 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2935 @t5149) @t5525)))) % 18.94/19.19 (assume @p4164 (forall @t5044 (=> @t127 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2939 @t5149) @t5526)))) % 18.94/19.19 (assume @p4165 (forall @t5528 (=> @t157 (= (tptp.hAPP (tptp.hAPP @t154 @t5527) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t38 (tptp.hAPP @t1183 (tptp.hAPP (tptp.hAPP @t1394 @t466) @t2)) @t752) @t4950))))) % 18.94/19.19 (assume @p4166 (forall @t5528 (=> @t157 (= (tptp.hAPP (tptp.hAPP @t159 @t5527) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t38 (tptp.hAPP @t1183 (tptp.hAPP (tptp.hAPP @t1394 @t616) @t2)) @t629) @t4950))))) % 18.94/19.19 (assume @p4167 (forall (@list @t5217 @t831) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1615 @t831) @t5219)) (tptp.hBOOL (tptp.hAPP @t1513 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1596 @t1949) @t5217)))))) % 18.94/19.19 (assume @p4168 (forall @t376 (=> @t127 (=> @t1292 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t858) (tptp.hAPP @t5530 @t5306)))))) % 18.94/19.19 (assume @p4169 (forall (@list @t124 @t97 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5312 @t97)) @t5002)) (exists (@list @t1294 @t3) (= @t97 (tptp.hAPP @t5531 @t3)))))) % 18.94/19.19 (assume @p4170 (forall (@list @t47 @t2 @t10 @t38) (=> @t2949 (= (tptp.hAPP @t5533 @t5309) @t5339)))) % 18.94/19.19 (assume @p4171 (forall (@list @t4947 @t38 @t97 @t47 @t2 @t10) (=> @t127 (and (=> @t5537 (= @t5536 (tptp.hAPP @t5517 @t5362))) (=> (not @t5537) (= @t5536 (tptp.hAPP @t5361 (tptp.hAPP @t5535 @t4947)))))))) % 18.94/19.19 (assume @p4172 (forall @t5044 (=> @t127 (= (tptp.c_List_Oremove1 @t10 @t47 @t5538) @t4950)))) % 18.94/19.19 (assume @p4173 (forall (@list @t4950 @t97 @t47 @t10) (=> @t127 (= (tptp.hAPP @t5530 (tptp.hAPP @t5539 @t4950)) (tptp.hAPP @t5539 @t5538))))) % 18.94/19.19 (assume @p4174 (forall (@list @t4950 @t38 @t97 @t47 @t2 @t10) (=> @t127 (=> @t1095 (= (tptp.hAPP @t5540 @t5541) (tptp.hAPP @t5535 (tptp.hAPP @t5540 @t4950))))))) % 18.94/19.19 (assume @p4175 (forall @t658 (=> @t127 (tptp.c_Finite__Set_Ofun__left__comm @t10 @t4536 @t5529)))) % 18.94/19.19 (assume @p4176 (forall @t5543 (=> @t2949 (= (tptp.hAPP @t5127 @t5542) @t5148)))) % 18.94/19.19 (assume @p4177 (forall @t5543 (=> @t2949 (= (tptp.hAPP @t4945 @t5542) @t5544)))) % 18.94/19.19 (assume @p4178 (forall (@list @t4950 @t219 @t2 @t10 @t38) (=> @t2949 (not (= @t5546 @t5309))))) % 18.94/19.19 (assume @p4179 (forall @t5543 (=> @t2949 (= (tptp.hBOOL (tptp.hAPP @t5275 @t5542)) @t5285)))) % 18.94/19.19 (assume @p4180 (forall @t5550 (=> @t127 (=> (not @t5549) (= @t5547 @t5541))))) % 18.94/19.19 (assume @p4181 (forall @t5044 (=> @t127 (=> @t5152 (= @t5551 @t5538))))) % 18.94/19.19 (assume @p4182 (forall (@list @t47 @t2 @t4950 @t10 @t38) (=> @t2949 (=> @t5277 (tptp.hBOOL (tptp.hAPP @t5275 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t10 @t38 @t2 @t47 @t4950))))))) % 18.94/19.19 (assume @p4183 (forall @t5044 (=> @t127 (=> @t5146 (= @t5551 @t4950))))) % 18.94/19.19 (assume @p4184 (forall @t5044 (=> @t127 (= (tptp.hAPP @t5127 @t5551) @t5148)))) % 18.94/19.19 (assume @p4185 (forall @t5550 (=> @t127 (=> @t5549 (= @t5547 @t4950))))) % 18.94/19.19 (assume @p4186 (forall (@list @t32 @t1791 @t33 @t4957) (=> @t5315 (and (=> @t5273 (= @t5553 @t32)) (=> @t5274 (= @t5553 @t5552)))))) % 18.94/19.19 (assume @p4187 (forall @t5316 (=> @t5315 (= @t5552 (tptp.hAPP @t5099 @t5239))))) % 18.94/19.19 (assume @p4188 (forall @t5418 @t5555)) % 18.94/19.19 (assume @p4189 (forall @t5418 @t5556)) % 18.94/19.19 (assume @p4190 (forall @t5418 (and @t5555 @t5556))) % 18.94/19.19 (assume @p4191 (forall @t5018 @t5558)) % 18.94/19.19 (assume @p4192 (forall @t5018 @t5559)) % 18.94/19.19 (assume @p4193 (forall @t5018 (and @t5558 @t5559))) % 18.94/19.19 (assume @p4194 (forall (@list @t10 @t5560) (=> (not (= @t5560 @t5309)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 (tptp.c_List_Olast @t10 @t5560)) (tptp.hAPP @t5127 @t5560)))))) % 18.94/19.19 (assume @p4195 (forall @t5298 (= (tptp.c_List_Olast @t33 @t5432) @t32))) % 18.94/19.19 (assume @p4196 (forall @t5233 (=> @t5237 (= (tptp.c_List_Olast @t33 @t5458) @t5552)))) % 18.94/19.19 (assume @p4197 (forall @t5316 (=> @t5315 (= (tptp.hAPP (tptp.hAPP @t5392 @t5236) (tptp.hAPP (tptp.hAPP @t5009 @t5552) @t5308)) @t4957)))) % 18.94/19.19 (assume @p4198 (forall (@list @t4947 @t47 @t4950 @t10) (= (= @t5385 @t4947) (and (not @t5390) (= @t5431 @t4950) (= (tptp.c_List_Olast @t10 @t4947) @t47))))) % 18.94/19.19 (assume @p4199 (forall @t856 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5029 @t219) @t5083)) (or @t5562 (exists (@list @t1294 @t5561) (and (= @t219 (tptp.hAPP @t5531 @t5561)) @t1441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5029 @t5561) @t5083)))))))) % 18.94/19.19 (assume @p4200 (forall @t5496 (=> @t5332 (= (tptp.c_Random_Oselect__weight @t10 @t5563) @t5353)))) % 18.94/19.19 (assume @p4201 (forall @t1090 (=> @t1092 @t5566))) % 18.94/19.19 (assume @p4202 (forall @t5569 (=> @t5332 (= (tptp.c_List_Olast @t38 @t5568) (tptp.hAPP @t2 @t5567))))) % 18.94/19.19 (assume @p4203 (forall @t5573 (=> @t5572 @t5571))) % 18.94/19.19 (assume @p4204 (forall @t5579 (=> @t5578 (=> (tptp.c_Fun_Oinj__on @t38 @t10 @t2 (tptp.hAPP (tptp.hAPP @t539 @t5527) @t5196)) @t5061)))) % 18.94/19.19 (assume @p4205 (forall (@list @t4950 @t2 @t150 @t219 @t1 @t38 @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t38 @t1 @t219) @t5582) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t150 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t1091 @t156) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t161 (tptp.tc_fun @t1091 @t156) @t10) @t653) @t1)) @t2) @t219) @t4950)))) % 18.94/19.19 (assume @p4206 (forall @t5583 (= (tptp.hAPP @t5506 @t5577) (tptp.hAPP @t5575 (tptp.hAPP (tptp.c_List_Orotate @t38 @t831) @t4950))))) % 18.94/19.19 (assume @p4207 (forall @t5584 (= (tptp.hAPP @t5575 (tptp.hAPP (tptp.c_List_Otl @t38) @t4950)) (tptp.hAPP @t5511 @t5577)))) % 18.94/19.19 (assume @p4208 (forall @t5584 (= (= @t5577 @t5309) @t5585))) % 18.94/19.19 (assume @p4209 (forall @t761 (= (tptp.hAPP @t5575 @t5365) @t5309))) % 18.94/19.19 (assume @p4210 (forall @t5586 (= (= @t5309 @t5577) @t5585))) % 18.94/19.19 (assume @p4211 (forall (@list @t97 @t118 @t4950 @t2 @t10 @t38) (= (tptp.hAPP @t5575 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t38 @t4950) @t118) @t97)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5577) @t118) @t123)))) % 18.94/19.19 (assume @p4212 (forall @t5590 (=> @t1502 (= (tptp.hAPP @t5215 (tptp.hAPP (tptp.hAPP @t5574 @t1713) @t4950)) (tptp.hAPP (tptp.hAPP @t1594 @t5589) @t5588))))) % 18.94/19.19 (assume @p4213 (forall (@list @t4950 @t38 @t10) (=> @t5516 (= (tptp.hAPP @t5215 (tptp.hAPP (tptp.hAPP @t5574 @t2010) @t4950)) @t1939)))) % 18.94/19.19 (assume @p4214 (forall (@list @t4950 @t220 @t2 @t38 @t10) (=> @t1527 (= (tptp.hAPP @t5215 (tptp.hAPP (tptp.hAPP @t5574 (tptp.hAPP @t1529 @t220)) @t4950)) (tptp.hAPP (tptp.hAPP @t1212 @t5589) @t220))))) % 18.94/19.19 (assume @p4215 (forall (@list @t4950 @t2 @t220 @t38 @t10) (=> @t1527 (= (tptp.hAPP @t5215 (tptp.hAPP (tptp.hAPP @t5574 (tptp.hAPP (tptp.hAPP @t1524 @t2073) @t2)) @t4950)) (tptp.hAPP @t2073 @t5589))))) % 18.94/19.19 (assume @p4216 (forall @t5590 (=> @t868 (= (tptp.hAPP @t5215 (tptp.hAPP (tptp.hAPP @t5574 @t1534) @t4950)) (tptp.hAPP (tptp.hAPP @t865 @t5589) @t5588))))) % 18.94/19.19 (assume @p4217 (forall @t5584 (= (tptp.hAPP @t5575 (tptp.c_List_Obutlast @t38 @t4950)) (tptp.c_List_Obutlast @t10 @t5577)))) % 18.94/19.19 (assume @p4218 (forall (@list @t4947 @t1 @t150 @t4950 @t2 @t10 @t38) (=> (= @t5577 (tptp.hAPP (tptp.hAPP @t5593 @t1) @t4947)) (= @t5592 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t5591) @t4947))))) % 18.94/19.19 (assume @p4219 (forall @t5586 (= (tptp.hAPP @t4945 @t5577) @t5592))) % 18.94/19.19 (assume @p4220 (forall (@list @t1 @t4950 @t2 @t10 @t38) (= (= @t5577 @t5587) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t180 @t5527)) @t6))))) % 18.94/19.19 (assume @p4221 (forall @t5583 (= (tptp.hAPP @t5120 @t5577) (tptp.hAPP @t5575 (tptp.hAPP @t5595 @t4950))))) % 18.94/19.19 (assume @p4222 (forall @t5579 (=> @t5578 (=> (tptp.c_Fun_Oinj__on @t38 @t10 @t2 @t612) @t5061)))) % 18.94/19.19 (assume @p4223 (forall @t5573 (=> @t1092 @t5571))) % 18.94/19.19 (assume @p4224 (forall @t5142 (= (tptp.hAPP @t5597 @t4950) @t4950))) % 18.94/19.19 (assume @p4225 (forall @t5586 (= (tptp.hAPP @t5127 @t5577) @t5548))) % 18.94/19.19 (assume @p4226 (forall @t5543 (= (tptp.hAPP @t5575 @t5518) (tptp.hAPP (tptp.hAPP @t4996 @t49) @t5577)))) % 18.94/19.19 (assume @p4227 (forall @t5142 (= @t5187 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 @t3480) @t4427) @t4950)))) % 18.94/19.19 (assume @p4228 (forall (@list @t4947 @t1 @t1251 @t4950 @t2 @t150 @t38 @t10) (= (tptp.hAPP @t5601 (tptp.hAPP @t5599 @t4947)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4650 @t1321) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t150 @t1251 @t1321) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t150 @t4743 @t5598) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3962 (tptp.tc_fun @t4743 @t5598) @t150) (tptp.c_COMBB @t38 @t1321 @t1251)) @t4590)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t150 @t1251) @t4950) @t4947))))) % 18.94/19.19 (assume @p4229 (forall (@list @t4947 @t4950 @t2 @t150 @t38 @t10) (= (tptp.hAPP @t5601 @t4947) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4455 @t1321) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t150 @t38 @t1321) @t4590)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t150 @t38) @t4950) @t4947))))) % 18.94/19.19 (assume @p4230 (forall (@list @t4947 @t4950 @t1 @t1251 @t2 @t10 @t150 @t38) (= (tptp.hAPP @t5603 (tptp.hAPP (tptp.hAPP @t5602 (tptp.hAPP @t5599 @t4950)) @t4947)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4684 @t10) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1251 @t150 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4002 @t156 @t1251) (tptp.hAPP (tptp.c_COMBB @t3994 @t10 @t150) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t38 @t4002 @t1251) @t3996) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t1251 @t150) @t4950) @t4947))))) % 18.94/19.19 (assume @p4231 (forall (@list @t4947 @t1 @t1251 @t4950 @t2 @t10 @t150 @t38) (= (tptp.hAPP @t5603 (tptp.hAPP (tptp.hAPP @t5602 @t4950) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t1251 @t150) @t1) @t4947))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4675 @t10) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t38 @t1251 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5604 (tptp.tc_fun @t1251 @t10) @t38) (tptp.hAPP (tptp.c_COMBB @t3994 @t10 @t1251) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 @t5605 @t5604) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4002 (tptp.tc_fun @t5605 @t5604) @t38) (tptp.c_COMBB @t150 @t3994 @t1251)) @t3996)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t38 @t1251) @t4950) @t4947))))) % 18.94/19.19 (assume @p4232 (forall (@list @t4947 @t2 @t150 @t4950 @t38 @t10) (= (tptp.hAPP @t5189 (tptp.hAPP @t5581 @t4947)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4460 @t1321) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t150 @t1321) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t1091 @t5606) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3962 (tptp.tc_fun @t1091 @t5606) @t10) (tptp.c_COMBB @t38 @t1321 @t150)) @t3953)) @t2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t10 @t150) @t4950) @t4947))))) % 18.94/19.19 (assume @p4233 (forall @t5579 (= (tptp.hAPP @t5575 @t5521) (tptp.hAPP (tptp.hAPP @t5379 @t5577) @t5576)))) % 18.94/19.19 (assume @p4234 (forall @t5569 (=> @t5332 (= (tptp.hAPP (tptp.c_List_Ohd @t38) @t5568) (tptp.hAPP @t2 @t5495))))) % 18.94/19.19 (assume @p4235 (forall @t5583 (= (tptp.hAPP @t5465 @t5577) (tptp.hAPP @t5575 (tptp.hAPP @t5607 @t4950))))) % 18.94/19.19 (assume @p4236 (forall (@list @t4950 @t1 @t38 @t2 @t10) (= (tptp.c_List_Olist_Olist__size @t10 @t2 @t5587) (tptp.c_List_Olist_Olist__size @t38 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_Nat_Onat @t38 @t2) @t1) @t4950)))) % 18.94/19.19 (assume @p4237 (forall (@list @t1 @t2 @t10 @t38 @t150) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5591 @t5201 @t4536 @t5581) (tptp.hAPP (tptp.c_List_Omap @t10 @t150) @t1)) (tptp.hAPP @t5564 @t1265)))) % 18.94/19.19 (assume @p4238 (forall (@list @t5014 @t1 @t150 @t2 @t10 @t38) (= (tptp.hAPP @t5575 (tptp.hAPP @t5609 @t5014)) (tptp.hAPP @t5608 @t5014)))) % 18.94/19.19 (assume @p4239 (forall (@list @t4950 @t1 @t150 @t2 @t10 @t38) (= (tptp.hAPP @t5575 (tptp.hAPP @t5609 @t4950)) (tptp.hAPP @t5608 @t4950)))) % 18.94/19.19 (assume @p4240 (forall @t658 (= @t5597 @t5508))) % 18.94/19.19 (assume @p4241 (forall @t658 (= (tptp.hAPP @t5596 @t4662) @t5508))) % 18.94/19.19 (assume @p4242 (forall (@list @t2 @t38 @t4950 @t10 @t831) (=> @t5173 (= (tptp.hAPP (tptp.hAPP @t5205 @t5568) @t831) (tptp.hAPP @t2 @t5172))))) % 18.94/19.19 (assume @p4243 (forall (@list @t1234 @t2 @t38 @t4950 @t97 @t10) (=> (not @t5150) (= (tptp.hAPP (tptp.hAPP @t5564 (tptp.c_Fun_Ofun__upd @t10 @t38 @t2 @t97 @t1234)) @t4950) @t5568)))) % 18.94/19.19 (assume @p4244 (forall @t5586 (= (tptp.hBOOL (tptp.hAPP @t5275 @t5577)) (and (tptp.hBOOL (tptp.hAPP @t5610 @t4950)) (tptp.c_Fun_Oinj__on @t38 @t10 @t2 @t5527))))) % 18.94/19.19 (assume @p4245 (forall @t5142 (=> @t2734 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t2731 @t5216)) (tptp.hAPP @t5215 (tptp.hAPP (tptp.hAPP @t5596 @t2731) @t4950))))))) % 18.94/19.19 (assume @p4246 (forall @t5586 (=> @t868 (= (tptp.hAPP @t390 @t5589) (tptp.hAPP @t5215 (tptp.hAPP (tptp.hAPP @t5574 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t38 @t390) @t2)) @t4950)))))) % 18.94/19.19 (assume @p4247 (forall @t1090 (= @t5566 @t1092))) % 18.94/19.19 (assume @p4248 (forall @t1090 (=> @t5566 @t1092))) % 18.94/19.19 (assume @p4249 (forall (@list @t2 @t4950 @t10 @t38) (=> @t1568 (=> @t5277 (= @t5612 (tptp.hAPP @t1486 @t5141)))))) % 18.94/19.19 (assume @p4250 (forall (@list @t4950 @t124 @t38 @t10) (=> @t2178 (= (tptp.hAPP @t5215 (tptp.hAPP (tptp.hAPP @t5574 (tptp.hAPP @t1160 @t124)) @t4950)) (tptp.hAPP (tptp.hAPP @t1212 (tptp.hAPP @t1931 @t5592)) @t124))))) % 18.94/19.19 (assume @p4251 (forall @t5369 (= (tptp.c_Enum_Oproduct @t10 @t38 @t5025 @t4947) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t1321) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t38 @t1321) @t3954) @t4947)) @t5209)))) % 18.94/19.19 (assume @p4252 (forall (@list @t2 @t4950 @t47 @t10 @t38) (=> @t1568 (=> @t5146 (= @t5612 (tptp.hAPP (tptp.hAPP @t1585 @t49) (tptp.hAPP @t5611 (tptp.hAPP @t5565 @t5295)))))))) % 18.94/19.19 (assume @p4253 (forall @t760 (=> (tptp.c_Fun_Oinj__on @t10 @t38 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t25 (tptp.hAPP @t5156 @t23))) (tptp.c_Fun_Oinj__on @t4536 @t5201 @t5565 @t23)))) % 18.94/19.19 (assume @p4254 (forall @t2090 (=> @t1568 (and (=> @t1292 (= @t5613 (tptp.hAPP @t5611 (tptp.hAPP @t5565 @t5293)))) (=> @t2089 (= @t5613 @t2088)))))) % 18.94/19.19 (assume @p4255 (forall (@list @t4950 @t10 @t395) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t395) @t4951)) (= (tptp.hAPP (tptp.c_Random_Opick @t10 @t5563) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t395)) (tptp.hAPP @t5091 @t395))))) % 18.94/19.19 (assume @p4256 (forall @t5044 (= (tptp.c_Enum_Osublists @t10 @t5025) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet @t5614 @t5614) @t5154) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5614 @t5614 @t5614) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5614 (tptp.tc_fun @t5614 @t5614) @t5614) (tptp.c_List_Oappend @t4536)) (tptp.hAPP @t5615 @t5024))) (tptp.c_COMBI @t5614)))))) % 18.94/19.19 (assume @p4257 (forall @t2097 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4752 @t5617) @t5616)) @t1823))) % 18.94/19.19 (assume @p4258 (= @t3897 @t5618)) % 18.94/19.19 (assume @p4259 (forall @t2097 (= (= @t5617 @t5616) @t2480))) % 18.94/19.19 (assume @p4260 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 18.94/19.19 (assume @p4261 (forall @t1813 (= (tptp.hAPP (tptp.hAPP @t5621 @t5620) @t5619) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1861)))) % 18.94/19.19 (assume @p4262 (= @t3911 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1599))) % 18.94/19.19 (assume @p4263 (forall @t2370 (=> (tptp.hBOOL (tptp.hAPP @t2379 @t1798)) (=> @t5623 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t47) @t5622) @t98))))) % 18.94/19.19 (assume @p4264 (forall @t5626 (=> @t5625 (= (tptp.hAPP @t5624 @t5190) @t4950)))) % 18.94/19.19 (assume @p4265 (forall @t5626 (=> @t5625 (= (tptp.hAPP @t5627 @t5190) @t4947)))) % 18.94/19.19 (assume @p4266 (= @t3892 (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))) % 18.94/19.19 (assume @p4267 (forall (@list @t5071 @t38 @t10) (= (tptp.hAPP (tptp.hAPP @t5188 @t5629) @t5628) @t5071))) % 18.94/19.19 (assume @p4268 (forall @t1813 (= (tptp.hAPP (tptp.hAPP @t4750 @t5620) @t5619) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1851)))) % 18.94/19.19 (assume @p4269 (forall @t2097 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4754 @t5617) @t5616)) @t2492))) % 18.94/19.19 (assume @p4270 (forall @t5142 (=> @t5277 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t25) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4536 @t25) @t5127) @t5154)))))) % 18.94/19.19 (assume @p4271 (forall @t5633 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4752 @t207) @t5632)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 (tptp.hAPP @t5631 @t207)) @t5630))))) % 18.94/19.19 (assume @p4272 (forall (@list @t5071 @t4947 @t38 @t4950 @t10) (=> @t5625 (= (= @t5190 @t5071) (and (= @t5629 @t4950) (= @t5628 @t4947)))))) % 18.94/19.19 (assume @p4273 (forall @t5634 (= @t5167 (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t5221 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 tptp.tc_Nat_Onat) @t2) @t4950))) @t4951)))) % 18.94/19.19 (assume @p4274 (forall @t2632 (= (not (= @t207 @t5618)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4754 @t3911) @t207))))) % 18.94/19.19 (assume @p4275 (forall (@list @t395 @t118 @t2 @t10) (=> @t1502 (= (tptp.hAPP @t5215 (tptp.hAPP @t5636 @t5635)) (tptp.hAPP @t2682 (tptp.hAPP @t5211 @t5635)))))) % 18.94/19.19 (assume @p4276 (forall (@list @t1135 @t207 @t2 @t10) (=> @t1502 (= (tptp.hAPP @t2682 @t5213) (tptp.hAPP @t5215 (tptp.hAPP @t5636 @t5212)))))) % 18.94/19.19 (assume @p4277 (forall @t5637 (=> (tptp.hBOOL (tptp.hAPP @t4762 @t5632)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 (tptp.hAPP @t5354 (tptp.hAPP @t5041 @t2608))) @t5630))))) % 18.94/19.19 (assume @p4278 (forall @t5142 (= @t5041 (tptp.hAPP (tptp.hAPP @t5640 (tptp.c_Random_Orange @t5632)) (tptp.hAPP @t5639 @t5631))))) % 18.94/19.19 (assume @p4279 (forall @t5142 (= @t5353 (tptp.hAPP (tptp.hAPP @t5640 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t4951))) (tptp.hAPP @t5639 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Code__Numeral_Ocode__numeral) @t5091) tptp.c_Code__Numeral_Onat__of)))))) % 18.94/19.19 (assume @p4280 (forall @t1813 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t5620) @t5619) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1995)))) % 18.94/19.19 (assume @p4281 (forall @t2700 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t32)) @t32))) % 18.94/19.19 (assume @p4282 (forall @t2238 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5641) @t1791))) % 18.94/19.19 (assume @p4283 (forall @t1821 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5620) @t1536))) % 18.94/19.19 (assume @p4284 (forall @t1813 (= (tptp.hAPP (tptp.hAPP @t5621 @t1536) @t1537) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1752 @t5643) @t5642))))) % 18.94/19.19 (assume @p4285 (forall @t2241 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t118) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t395)) @t3676))) % 18.94/19.19 (assume @p4286 (forall @t2370 (= (= @t5644 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t97)) @t98))) % 18.94/19.19 (assume @p4287 (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 @t1798)) % 18.94/19.19 (assume @p4288 (forall @t2097 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4752 @t831) @t561)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t5646) @t5645))))) % 18.94/19.19 (assume @p4289 (forall @t2672 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1615 @t5644) @t1798)))) % 18.94/19.19 (assume @p4290 (forall @t2238 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t3892 @t1791)) (tptp.hAPP @t3541 @t1791)))) % 18.94/19.19 (assume @p4291 (= 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 @t2182) tptp.c_Code__Numeral_Onat__of))) % 18.94/19.19 (assume @p4292 (forall @t2097 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4754 @t831) @t561)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t5646) @t5645))))) % 18.94/19.19 (assume @p4293 (forall @t2761 (= @t5647 (tptp.c_Code__Numeral_Onat__of__aux @t1767 @t1949)))) % 18.94/19.19 (assume @p4294 (forall @t1908 (= @t3938 (tptp.hAPP (tptp.hAPP @t1596 @t5647) @t1536)))) % 18.94/19.19 (assume @p4295 (forall @t2238 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t1791) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t5641))))) % 18.94/19.19 (assume @p4296 (forall @t1813 (= @t5648 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1548 @t5643) @t5642))))) % 18.94/19.19 (assume @p4297 (forall @t4710 (=> @t5623 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5622) @t97)))) % 18.94/19.19 (assume @p4298 (forall @t1813 (= (tptp.hAPP (tptp.hAPP @t4750 @t1536) @t1537) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1596 @t5643) @t5642))))) % 18.94/19.19 (assume @p4299 (forall @t1813 (= @t4089 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t3374 @t5643) @t5642))))) % 18.94/19.19 (assume @p4300 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t3912)) % 18.94/19.19 (assume @p4301 (forall @t1813 (= @t5648 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t1536) @t1537)))) % 18.94/19.19 (assume @p4302 (forall @t1813 (= @t4088 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t5643 @t5642))))) % 18.94/19.19 (assume @p4303 (forall @t2238 (=> (not (= @t1791 @t5618)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 (tptp.hAPP (tptp.hAPP @t1548 @t5641) @t2451)) @t5641))))) % 18.94/19.19 (assume @p4304 (forall (@list @t1 @t2 @t4950 @t10 @t38) (=> (and @t5649 @t2434) (=> (forall @t7 (=> @t5164 @t40)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 @t5612) (tptp.hAPP @t5611 (tptp.hAPP (tptp.hAPP @t5564 @t1) @t4950)))))))) % 18.94/19.19 (assume @p4305 (forall (@list @t207 @t5650) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t5650) @t207) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t5650 (tptp.hAPP (tptp.hAPP @t5621 (tptp.hAPP @t3892 @t3770)) @t207)))))) % 18.94/19.19 (assume @p4306 (forall @t5657 (=> @t5656 (= (tptp.hAPP (tptp.hAPP @t440 @t5654) @t5652) @t5141)))) % 18.94/19.19 (assume @p4307 (forall (@list @t22 @t23 @t395 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5659 @t5083)) (=> (tptp.hBOOL (tptp.hAPP @t5659 @t5085)) (tptp.hBOOL (tptp.hAPP @t5658 @t395)))))) % 18.94/19.19 (assume @p4308 (forall @t51 (tptp.hBOOL (tptp.hAPP @t5660 @t5309)))) % 18.94/19.19 (assume @p4309 (forall (@list @t4950 @t23 @t10) (= @t5661 (forall @t7 (=> @t5164 @t4716))))) % 18.94/19.19 (assume @p4310 (forall (@list @t22 @t395 @t23 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5660 @t395)) (=> (tptp.hBOOL (tptp.hAPP @t5663 @t395)) (tptp.hBOOL (tptp.hAPP @t5662 @t395)))))) % 18.94/19.19 (assume @p4311 (forall @t31 (= @t5662 (tptp.hAPP (tptp.hAPP @t5664 @t5660) @t5663)))) % 18.94/19.19 (assume @p4312 (forall @t378 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t10 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t1172 @t23)) @t22)) @t47)) (and (tptp.hBOOL (tptp.hAPP @t5660 @t47)) (tptp.hBOOL (tptp.hAPP @t5663 @t47)))))) % 18.94/19.19 (assume @p4313 (forall (@list @t1098 @t1099 @t23 @t10) (= (tptp.hBOOL (tptp.hAPP @t5660 (tptp.hAPP @t5080 @t1098))) (and (tptp.hBOOL (tptp.hAPP @t23 @t1099)) (tptp.hBOOL (tptp.hAPP @t5660 @t1098)))))) % 18.94/19.19 (assume @p4314 (forall (@list @t4947 @t4950 @t23 @t10) (= (tptp.hBOOL (tptp.hAPP @t5660 @t5399)) (and @t5661 (tptp.hBOOL (tptp.hAPP @t5660 @t4947)))))) % 18.94/19.19 (assume @p4315 (forall @t31 (=> @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5086 @t5660) @t5663))))) % 18.94/19.19 (assume @p4316 (forall @t5657 (=> @t5656 (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t317 @t5654)) @t314)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t317 @t5652)) @t2818)))))) % 18.94/19.19 (assume @p4317 (forall @t172 (= (tptp.c_List_Opartition @t10 @t56 @t5309) @t5334))) % 18.94/19.19 (assume @p4318 (forall @t376 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t10 @t375) @t47)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5029 @t47) @t5083))))) % 18.94/19.19 (assume @p4319 (forall @t5667 (= (tptp.c_List_Opartition @t10 @t56 @t5025) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4536 @t4536 @t4550) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4536 @t4966 @t4966) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5666 (tptp.tc_fun @t4966 @t4966) @t4536) (tptp.c_COMBS @t4536 @t4550 @t4550)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4966 @t5666 @t4536) (tptp.hAPP (tptp.c_COMBB @t4550 @t5665 @t4536) (tptp.hAPP (tptp.c_If @t4550) @t58))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4536 @t4966 @t4536) @t4952) @t5024)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4536 @t5031 @t4966) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4966 (tptp.tc_fun @t5031 @t4966) @t4536) (tptp.c_COMBB @t4536 @t4550 @t4536)) @t4952)) @t5024))) @t5655)))) % 18.94/19.19 (assume @p4320 (forall @t31 (= @t5658 (tptp.hAPP (tptp.hAPP @t5664 (tptp.hAPP @t5030 @t5083)) (tptp.hAPP @t5030 @t5085))))) % 18.94/19.19 (assume @p4321 (forall @t5671 (= @t5670 (and @t5625 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5669 @t5192)) @t5668)))))) % 18.94/19.19 (assume @p4322 (forall (@list @t47 @t56 @t4950 @t10) (=> @t5163 (=> @t5146 @t59)))) % 18.94/19.19 (assume @p4323 (forall (@list @t5672 @t5560 @t2 @t150 @t56 @t38 @t10) (= (tptp.c_List_Olist__all2 @t10 @t38 @t56 (tptp.hAPP @t5600 @t5560) @t5672) (tptp.c_List_Olist__all2 @t150 @t38 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t111 @t150) @t56) @t2) @t5560 @t5672)))) % 18.94/19.19 (assume @p4324 (forall (@list @t5672 @t2 @t150 @t5560 @t56 @t38 @t10) (= (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t5560 (tptp.hAPP @t5581 @t5672)) (tptp.c_List_Olist__all2 @t10 @t150 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t1091 @t256) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 (tptp.tc_fun @t1091 @t256) @t10) (tptp.c_COMBB @t38 tptp.tc_HOL_Obool @t150)) @t56)) @t2) @t5560 @t5672)))) % 18.94/19.19 (assume @p4325 (forall (@list @t5433 @t5434 @t56 @t4947 @t38 @t4950 @t10) (=> @t5625 (= (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t5435 (tptp.hAPP (tptp.hAPP @t5520 @t4947) @t5433)) (and @t5670 (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t5434 @t5433)))))) % 18.94/19.19 (assume @p4326 (forall (@list @t215 @t220 @t216 @t219 @t56 @t38 @t10) (=> @t5673 (=> (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t220 @t215) (tptp.c_List_Olist__all2 @t10 @t38 @t56 (tptp.hAPP (tptp.hAPP @t5379 @t219) @t220) (tptp.hAPP (tptp.hAPP @t5520 @t216) @t215)))))) % 18.94/19.19 (assume @p4327 (forall (@list @t831 @t5672 @t5560 @t56 @t38 @t10) (=> (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t5560 @t5672) (tptp.c_List_Olist__all2 @t10 @t38 @t56 (tptp.hAPP @t5465 @t5560) (tptp.hAPP @t5607 @t5672))))) % 18.94/19.19 (assume @p4328 (forall (@list @t4947 @t97 @t4950 @t47 @t56 @t38 @t10) (= (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t5025 @t5362) (and @t4060 @t5670)))) % 18.94/19.19 (assume @p4329 (forall @t5103 (= @t5061 (tptp.c_List_Olist__all2 @t10 @t10 tptp.c_fequal @t4950 @t4947)))) % 18.94/19.19 (assume @p4330 (forall (@list @t831 @t4947 @t4950 @t56 @t38 @t10) (=> @t5670 (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t5143 (tptp.hAPP @t5595 @t4947))))) % 18.94/19.19 (assume @p4331 (forall @t5671 (=> @t5670 @t5625))) % 18.94/19.19 (assume @p4332 (forall (@list @t4947 @t56 @t38 @t10) (= (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t5309 @t4947) (= @t4947 @t5365)))) % 18.94/19.19 (assume @p4333 (forall (@list @t4950 @t56 @t38 @t10) (= (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t4950 @t5365) @t5310))) % 18.94/19.19 (assume @p4334 (forall @t5676 (=> @t5670 (=> (tptp.hBOOL (tptp.hAPP @t5675 @t5203)) @t5674)))) % 18.94/19.19 (assume @p4335 (forall @t5676 (=> @t5670 (=> (tptp.hBOOL (tptp.hAPP @t5675 @t4951)) @t5674)))) % 18.94/19.19 (assume @p4336 (forall @t5671 (= @t5670 (and @t5625 (forall @t456 (=> @t5102 (tptp.hBOOL (tptp.hAPP @t5160 (tptp.hAPP @t5206 @t452))))))))) % 18.94/19.19 (assume @p4337 (forall (@list @t207 @t97 @t47 @t4947 @t4950 @t56 @t38 @t10) (=> @t5670 (=> @t4060 (=> (tptp.hBOOL (tptp.hAPP @t1927 @t5203)) @t5677))))) % 18.94/19.19 (assume @p4338 (forall (@list @t97 @t47 @t4947 @t56 @t38 @t4950 @t10 @t207) (=> @t5269 (=> @t5670 (=> @t4060 @t5677))))) % 18.94/19.19 (assume @p4339 (forall (@list @t56 @t216 @t219 @t38 @t10) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5669 (tptp.hAPP @t5191 (tptp.hAPP (tptp.hAPP @t5188 @t219) @t216)))) @t5668)) (=> @t5679 @t5673)))) % 18.94/19.19 (assume @p4340 (forall @t5524 (=> @t4917 (= @t5523 (tptp.hAPP @t5522 @t5680))))) % 18.94/19.19 (assume @p4341 (forall @t4986 (tptp.hBOOL (tptp.hAPP @t5278 @t5681)))) % 18.94/19.19 (assume @p4342 (forall @t4986 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 (tptp.hAPP @t4960 @t5681)) @t4962)))) % 18.94/19.19 (assume @p4343 (forall @t597 (= (= @t5683 @t5309) @t5682))) % 18.94/19.19 (assume @p4344 (forall @t597 (= (= @t5309 @t5683) @t5682))) % 18.94/19.19 (assume @p4345 (forall @t819 (= (tptp.c_List_Oremdups @t33 @t5308) @t5308))) % 18.94/19.19 (assume @p4346 (forall @t5142 (= (= @t5685 @t4951) @t5684))) % 18.94/19.19 (assume @p4347 (forall @t5142 (= (tptp.hAPP @t5127 @t5680) @t5141))) % 18.94/19.19 (assume @p4348 (forall @t4986 (= (tptp.c_List_Oremdups @t33 @t5681) @t5681))) % 18.94/19.19 (assume @p4349 (forall @t4986 (=> @t5279 (= @t5681 @t4957)))) % 18.94/19.19 (assume @p4350 (forall @t5142 (= @t5684 @t5277))) % 18.94/19.19 (assume @p4351 (forall @t5586 (= (tptp.c_List_Oremdups @t10 (tptp.hAPP @t5575 (tptp.c_List_Oremdups @t38 @t4950))) (tptp.c_List_Oremdups @t10 @t5577)))) % 18.94/19.19 (assume @p4352 (forall @t5298 (=> @t5279 (= (tptp.c_List_Oremove1 @t33 @t32 @t5681) (tptp.c_List_Oremdups @t33 @t5297))))) % 18.94/19.19 (assume @p4353 (forall @t5044 (and (=> @t5146 (= @t5686 @t5680)) (=> @t5152 (= @t5686 (tptp.hAPP @t5024 @t5680)))))) % 18.94/19.19 (assume @p4354 (forall @t5142 (= @t5685 @t5159))) % 18.94/19.19 (assume @p4355 (forall @t5691 (= (tptp.hAPP @t4945 (tptp.c_List_Oremdups @t10 @t5690)) (tptp.hAPP @t2454 (tptp.hAPP (tptp.hAPP @t5689 @t5688) @t5127))))) % 18.94/19.19 (assume @p4356 (forall @t5142 (=> @t127 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t5141) (tptp.c_List_Olinorder__class_Osort__key @t10 @t10 @t744 @t5680))))) % 18.94/19.19 (assume @p4357 (forall @t819 (= (tptp.c_List_Oconcat @t33 @t5325) @t5308))) % 18.94/19.19 (assume @p4358 (forall @t5691 (= @t5690 (tptp.hAPP (tptp.c_List_Ofoldl @t4536 @t4536 @t5379 @t5309) @t5687)))) % 18.94/19.19 (assume @p4359 (forall (@list @t5687 @t4950 @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t4536 @t4536 @t5379 @t4950) @t5687) (tptp.hAPP @t5384 @t5690)))) % 18.94/19.19 (assume @p4360 (forall @t5584 (=> @t2949 (= (tptp.hBOOL (tptp.hAPP @t5275 @t5692)) @t5277)))) % 18.94/19.19 (assume @p4361 (forall @t5584 (=> @t2949 (= (tptp.hAPP @t5127 @t5692) @t5141)))) % 18.94/19.19 (assume @p4362 (forall @t5584 (=> @t2949 (= (tptp.hAPP @t4945 @t5692) @t4951)))) % 18.94/19.19 (assume @p4363 (forall @t761 (=> @t2949 (= (tptp.c_List_Olinorder__class_Osort__key @t10 @t38 @t2 @t5309) @t5309)))) % 18.94/19.19 (assume @p4364 (forall @t5017 (= (tptp.c_List_Oconcat @t33 (tptp.hAPP (tptp.hAPP @t5326 @t32) @t4957)) (tptp.hAPP (tptp.hAPP @t5392 @t32) @t5693)))) % 18.94/19.19 (assume @p4365 (forall @t5691 (= (= @t5690 @t5309) @t5696))) % 18.94/19.19 (assume @p4366 (forall @t5691 (= (= @t5309 @t5690) @t5696))) % 18.94/19.19 (assume @p4367 (forall @t5584 (= (tptp.hAPP @t5575 (tptp.c_List_Oconcat @t38 @t4950)) (tptp.c_List_Oconcat @t10 @t5698)))) % 18.94/19.19 (assume @p4368 (forall @t5691 (= (tptp.hAPP @t4945 @t5690) (tptp.hAPP @t5221 (tptp.hAPP @t5699 @t5687))))) % 18.94/19.19 (assume @p4369 (forall @t5142 (= (tptp.hAPP @t5127 @t5701) (tptp.hAPP (tptp.hAPP @t5689 @t5700) @t5127)))) % 18.94/19.19 (assume @p4370 (forall @t5543 (=> @t2949 (= (tptp.c_List_Olinorder__class_Osort__key @t10 @t38 @t2 @t5025) (tptp.hAPP @t5533 @t5692))))) % 18.94/19.19 (assume @p4371 (forall @t4963 (= (tptp.c_List_Oconcat @t33 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t4959) @t4957) @t4956)) (tptp.hAPP (tptp.hAPP @t5392 @t5693) (tptp.c_List_Oconcat @t33 @t4956))))) % 18.94/19.19 (assume @p4372 (forall @t5142 (=> @t127 (= @t5702 (tptp.hAPP (tptp.c_List_Ofoldl @t4536 @t10 (tptp.hAPP @t5348 @t5529) @t5309) @t4950))))) % 18.94/19.19 (assume @p4373 (forall @t5408 (=> @t5707 (=> @t5706 (= @t5703 @t5061))))) % 18.94/19.19 (assume @p4374 (forall @t5408 (=> @t5703 (=> @t5706 (=> @t5707 @t5061))))) % 18.94/19.19 (assume @p4375 (forall @t5586 (= (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5708 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 @t4536 @t4536) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t5031 @t38) @t4996) @t2)) @t5309)) @t4950)) @t5577))) % 18.94/19.19 (assume @p4376 (forall @t5145 (= (tptp.c_Enum_On__lists @t10 @t2478 @t4950) (tptp.c_List_Oconcat @t4536 (tptp.hAPP (tptp.hAPP @t5710 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4536 @t4536 @t5614) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t10 @t4536) @t5709 @t4536) (tptp.c_List_Omap @t10 @t4536)) @t5349)) @t4950)) @t5178))))) % 18.94/19.19 (assume @p4377 (forall @t5717 @t5716)) % 18.94/19.19 (assume @p4378 (forall @t5691 (= @t5714 (tptp.hAPP (tptp.hAPP @t5721 @t5494) @t5720)))) % 18.94/19.19 (assume @p4379 (forall @t5723 (= (tptp.hAPP @t5722 @t5701) (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5615 @t5722) @t4950))))) % 18.94/19.19 (assume @p4380 (forall (@list @t4950 @t2 @t56 @t10 @t38) (=> @t2949 (= (tptp.hAPP @t5724 @t5692) (tptp.c_List_Olinorder__class_Osort__key @t10 @t38 @t2 @t5725))))) % 18.94/19.19 (assume @p4381 (forall @t5729 (= @t5728 (tptp.hAPP @t5575 @t5727)))) % 18.94/19.19 (assume @p4382 (forall @t5729 (= (tptp.hAPP @t4945 @t5728) (tptp.hAPP @t5202 @t5727)))) % 18.94/19.19 (assume @p4383 (forall (@list @t4950 @t2 @t10 @t47 @t56 @t38) (=> @t2949 (=> @t5730 (= (tptp.hAPP @t5724 @t5542) @t5725))))) % 18.94/19.19 (assume @p4384 (forall @t172 (= (tptp.hAPP @t5724 @t5309) @t5309))) % 18.94/19.19 (assume @p4385 (forall @t819 (= (tptp.c_List_Otranspose @t33 @t5325) @t5325))) % 18.94/19.19 (assume @p4386 (forall @t5731 (= (= @t5725 @t5309) (forall @t7 (=> @t5164 @t2818))))) % 18.94/19.19 (assume @p4387 (forall @t5731 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t5732) @t4951)))) % 18.94/19.19 (assume @p4388 (forall @t5731 (= (tptp.hAPP (tptp.hAPP @t1596 @t5732) (tptp.hAPP @t4945 (tptp.hAPP (tptp.c_List_Ofilter @t10 @t2827) @t4950))) @t4951))) % 18.94/19.19 (assume @p4389 (forall @t5731 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t5733) @t5141)))) % 18.94/19.19 (assume @p4390 (forall @t5731 (= (= @t5725 @t4950) @t5165))) % 18.94/19.19 (assume @p4391 (forall (@list @t4950 @t53 @t56 @t10) (= (tptp.hAPP @t5724 @t5735) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t1172 @t53)) @t56)) @t4950)))) % 18.94/19.19 (assume @p4392 (forall @t5736 (=> @t5730 (= (tptp.c_List_Oremove1 @t10 @t47 @t5725) @t5725)))) % 18.94/19.19 (assume @p4393 (forall (@list @t4950 @t47 @t53 @t10) (= (tptp.hAPP @t5734 @t5295) (tptp.c_List_Oremove1 @t10 @t47 @t5735)))) % 18.94/19.19 (assume @p4394 (forall @t5736 (and (=> @t59 (= @t5737 (tptp.hAPP @t5024 @t5725))) (=> @t5730 (= @t5737 @t5725))))) % 18.94/19.19 (assume @p4395 (forall @t5739 (= (tptp.hAPP @t5724 @t5399) (tptp.hAPP (tptp.hAPP @t5379 @t5725) @t5738)))) % 18.94/19.19 (assume @p4396 (forall @t5166 (=> @t5277 (tptp.hBOOL (tptp.hAPP @t5275 @t5725))))) % 18.94/19.19 (assume @p4397 (forall @t5731 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t4536 @t4536) @t5655) @t5725))) % 18.94/19.19 (assume @p4398 (forall @t5634 (= (tptp.c_List_Opartition @t10 @t2 @t4950) (tptp.hAPP (tptp.hAPP @t4952 (tptp.hAPP (tptp.c_List_Ofilter @t10 @t2) @t4950)) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t5740 @t2)) @t4950))))) % 18.94/19.19 (assume @p4399 (forall @t5731 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t4536 @t4536) @t5655) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t5740 @t56)) @t4950)))) % 18.94/19.19 (assume @p4400 (forall @t5731 (= (tptp.c_List_Oremdups @t10 @t5725) (tptp.hAPP @t5724 @t5680)))) % 18.94/19.19 (assume @p4401 (forall (@list @t5741 @t33) (= (tptp.c_List_Otranspose @t33 (tptp.hAPP @t5327 @t5741)) (tptp.c_List_Otranspose @t33 @t5741)))) % 18.94/19.19 (assume @p4402 (forall @t5633 (=> @t5749 (= @t5747 (tptp.hAPP @t5744 @t5743))))) % 18.94/19.19 (assume @p4403 (forall @t5586 (= (tptp.c_List_Otranspose @t10 @t5698) (tptp.hAPP @t5697 (tptp.c_List_Otranspose @t38 @t4950))))) % 18.94/19.19 (assume @p4404 (forall @t5731 (= @t5733 (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t1172 (tptp.hAPP @t363 @t5141))) @t56))))) % 18.94/19.19 (assume @p4405 (forall (@list @t56 @t4950 @t47 @t10) (=> @t5146 (=> @t5730 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t5732) @t4951)))))) % 18.94/19.19 (assume @p4406 (forall @t5750 (= (tptp.hAPP @t5276 @t2596) (tptp.hAPP @t5127 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t1188 (tptp.hAPP @t1192 @t97))) @t4950))))) % 18.94/19.19 (assume @p4407 (forall @t5637 (=> @t5277 (= (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t363 (tptp.hAPP @t5127 @t5751))) @t4950) @t5751)))) % 18.94/19.19 (assume @p4408 (forall @t5142 (= (= @t5745 @t5711) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5695 @t5700)) @t5694))))) % 18.94/19.19 (assume @p4409 (forall @t5723 (= (tptp.hAPP @t4945 (tptp.hAPP @t5722 @t4950)) (tptp.hAPP @t2466 (tptp.hAPP @t2791 (tptp.hAPP @t4988 (tptp.hAPP (tptp.hAPP @t5134 @t1504) @t5091))))))) % 18.94/19.19 (assume @p4410 (forall @t5691 (= @t5713 (tptp.hAPP (tptp.hAPP @t5615 @t5511) @t5720)))) % 18.94/19.19 (assume @p4411 (forall @t5717 (=> (tptp.hBOOL (tptp.hAPP @t5752 @t5715)) @t5716))) % 18.94/19.19 (assume @p4412 (forall @t5691 (=> (tptp.hBOOL (tptp.hAPP @t5752 @t5753)) (= (tptp.c_List_Otranspose @t10 @t5753) (tptp.c_List_Otranspose @t10 @t5687))))) % 18.94/19.19 (assume @p4413 (forall (@list @t5754 @t4950 @t56 @t10) (= (tptp.hAPP @t5760 (tptp.hAPP (tptp.c_List_Ofilter @t5758 (tptp.hAPP @t5759 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5758) tptp.c_Nat_OSuc) @t5757))) (tptp.hAPP @t5756 @t5754))) (tptp.hAPP @t5760 (tptp.hAPP (tptp.c_List_Ofilter @t5758 (tptp.hAPP @t5759 @t5757)) (tptp.hAPP @t5756 (tptp.hAPP @t5755 @t5754))))))) % 18.94/19.19 (assume @p4414 (forall @t5142 (= (tptp.c_Random_Oselect__weight @t10 @t5761) @t5041))) % 18.94/19.19 (assume @p4415 (forall @t5142 (= (tptp.c_Random_Opick @t10 @t5761) @t5631))) % 18.94/19.19 (assume @p4416 (forall @t658 (=> (tptp.hBOOL (tptp.hAPP @t5752 @t5711)) (= (tptp.c_List_Otranspose @t10 @t5711) @t5711)))) % 18.94/19.19 (assume @p4417 (forall @t5142 (= (tptp.c_List_Ofoldr @t4536 tptp.tc_Nat_Onat @t5762 @t5745 @t1949) (tptp.hAPP @t5704 (tptp.hAPP @t5719 @t4950))))) % 18.94/19.19 (assume @p4418 (forall (@list @t5687 @t38 @t4950 @t10) (= (tptp.hAPP (tptp.hAPP @t2992 @t5544) (tptp.c_List_Ofoldr @t5201 tptp.tc_Nat_Onat (tptp.hAPP @t5764 @t5202) @t5687 @t1949)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2992 @t4951) (tptp.c_List_Ofoldr @t5201 tptp.tc_Nat_Onat (tptp.hAPP @t5764 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5201 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t5763 @t1548) @t5202)) @t2451)) (tptp.hAPP (tptp.c_List_Ofilter @t5201 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5201) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5201 @t5201 tptp.tc_HOL_Obool) tptp.c_fequal) @t5365))) @t5687) @t1949)))))) % 18.94/19.19 (assume @p4419 (forall (@list @t219 @t2 @t10 @t38) (= (tptp.c_List_Ofoldr @t38 @t10 @t2 @t5365 @t219) @t219))) % 18.94/19.19 (assume @p4420 (forall (@list @t219 @t4950 @t47 @t2 @t10 @t38) (= (tptp.c_List_Ofoldr @t38 @t10 @t2 @t5518 @t219) (tptp.hAPP @t49 @t5765)))) % 18.94/19.19 (assume @p4421 (forall (@list @t219 @t4947 @t4950 @t2 @t10 @t38) (= (tptp.c_List_Ofoldr @t38 @t10 @t2 @t5521 @t219) (tptp.c_List_Ofoldr @t38 @t10 @t2 @t4950 (tptp.c_List_Ofoldr @t38 @t10 @t2 @t4947 @t219))))) % 18.94/19.19 (assume @p4422 (forall (@list @t219 @t4950 @t10) (=> (tptp.class_Groups_Oab__semigroup__add @t10) (= (tptp.c_List_Ofoldr @t10 @t10 @t1594 @t4950 @t219) @t5766)))) % 18.94/19.19 (assume @p4423 (forall (@list @t219 @t4950 @t2 @t150 @t1 @t10 @t38) (= (tptp.c_List_Ofoldr @t38 @t10 @t1 @t5582 @t219) (tptp.c_List_Ofoldr @t150 @t10 (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t1180 @t150 @t1) @t2) @t4950 @t219)))) % 18.94/19.19 (assume @p4424 (forall @t5142 (=> @t5516 (= (tptp.hAPP @t5515 @t4950) @t5767)))) % 18.94/19.19 (assume @p4425 (forall @t5768 (=> @t5516 (= @t5766 (tptp.hAPP @t1667 @t5767))))) % 18.94/19.19 (assume @p4426 (forall @t5142 (= @t5748 (tptp.c_List_Ofoldr @t4536 tptp.tc_Nat_Onat @t5762 @t4950 @t1949)))) % 18.94/19.19 (assume @p4427 (forall @t5170 (= (tptp.c_List_Osublist @t10 @t4950 @t23) (tptp.hAPP @t5760 (tptp.hAPP @t5773 @t5770))))) % 18.94/19.19 (assume @p4428 (forall (@list @t207 @t4950 @t23 @t10) (= (tptp.hAPP @t5760 (tptp.hAPP @t5773 (tptp.hAPP @t5756 (tptp.c_List_Oupt @t207 (tptp.hAPP @t1644 @t4951))))) (tptp.hAPP @t5760 (tptp.hAPP (tptp.c_List_Ofilter @t5758 (tptp.hAPP (tptp.hAPP @t5772 (tptp.hAPP @t5771 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5758 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2692 @t5758) @t1596) @t5757)) @t207))) @t23)) @t5770))))) % 18.94/19.19 (assume @p4429 (forall @t2539 (= @t1647 @t5775))) % 18.94/19.19 (assume @p4430 (forall @t2539 (= @t5775 @t1647))) % 18.94/19.19 (assume @p4431 (forall @t1881 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t5776)))) % 18.94/19.19 (assume @p4432 (forall @t1855 (=> @t1782 (= (tptp.c_List_Oupt @t1767 @t1876) (tptp.hAPP @t5778 (tptp.c_List_Oupt @t1766 @t1876)))))) % 18.94/19.19 (assume @p4433 (forall @t1881 (and @t5782 (=> (not @t1782) (= @t5780 @t5779))))) % 18.94/19.19 (assume @p4434 (forall @t1881 @t5782)) % 18.94/19.19 (assume @p4435 (forall (@list @t1766 @t1767 @t1537) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t1537) @t5776) (tptp.c_List_Oupt @t2524 @t1766)))) % 18.94/19.19 (assume @p4436 (forall @t1881 (=> @t1874 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t5776) @t1767)))) % 18.94/19.19 (assume @p4437 (forall @t1881 (and @t5784 (=> (not @t1874) @t5783)))) % 18.94/19.19 (assume @p4438 (forall @t1881 @t5784)) % 18.94/19.19 (assume @p4439 (forall @t3188 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t2524) @t1536)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t1537) (tptp.c_List_Oupt @t1767 @t1536)) (tptp.c_List_Oupt @t1767 @t2524))))) % 18.94/19.19 (assume @p4440 (forall @t1827 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t1509) @t5785))) % 18.94/19.19 (assume @p4441 (forall @t2539 (= (= @t5774 @t5779) (or (= @t1135 @t1949) @t1762)))) % 18.94/19.19 (assume @p4442 (forall @t1880 (=> @t1776 @t5783))) % 18.94/19.19 (assume @p4443 (forall @t2761 (= (tptp.c_List_Oupt @t1767 @t1949) @t5779))) % 18.94/19.19 (assume @p4444 (forall @t1881 (= (tptp.hAPP @t5229 @t5776) @t1779))) % 18.94/19.19 (assume @p4445 (forall @t1852 (and (=> @t5789 (= @t5788 (tptp.hAPP (tptp.hAPP @t5781 @t5787) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t5787) @t5786)))) (=> (not @t5789) (= @t5788 @t5779))))) % 18.94/19.19 (assume @p4446 (forall (@list @t4950 @t47 @t1135 @t207) (= (= @t5774 (tptp.hAPP (tptp.hAPP @t5781 @t47) @t4950)) (and (tptp.hBOOL (tptp.hAPP @t1927 @t1135)) (= @t207 @t47) (= (tptp.c_List_Oupt (tptp.hAPP @t1644 @t1599) @t1135) @t4950))))) % 18.94/19.19 (assume @p4447 (forall @t1881 (=> @t1874 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t5776) (tptp.hAPP @t1778 @t1599))))) % 18.94/19.19 (assume @p4448 (forall @t1827 (= (tptp.hAPP @t5755 @t5785) (tptp.c_List_Oupt @t2476 @t2478)))) % 18.94/19.19 (assume @p4449 (forall @t2097 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t831 @t561) (tptp.hAPP @t5218 (tptp.c_List_Oupt @t831 @t2476))))) % 18.94/19.19 (assume @p4450 (forall @t1989 (= @t1934 (tptp.hAPP @t5218 @t5790)))) % 18.94/19.19 (assume @p4451 (forall (@list @t1766 @t1791 @t1767) (=> (tptp.hBOOL (tptp.hAPP @t1873 @t1766)) (= (tptp.hAPP (tptp.hAPP @t5226 @t5776) @t1791) @t1872)))) % 18.94/19.19 (assume @p4452 (forall @t2097 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t831 @t561) (tptp.hAPP @t5218 (tptp.c_List_Oupt @t2478 @t2476))))) % 18.94/19.19 (assume @p4453 (forall @t2097 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t831 @t561) (tptp.hAPP @t5218 (tptp.c_List_Oupt @t2478 @t561))))) % 18.94/19.19 (assume @p4454 (forall @t1989 (= @t1795 (tptp.hAPP @t5218 (tptp.c_List_Oupt @t1949 @t2478))))) % 18.94/19.19 (assume @p4455 (forall @t5142 (= (tptp.hAPP (tptp.hAPP @t5791 @t5091) @t5769) @t4950))) % 18.94/19.19 (assume @p4456 (forall @t2543 (=> @t1502 (= @t5794 @t5793)))) % 18.94/19.19 (assume @p4457 (forall @t2543 (=> @t1502 (= @t5793 @t5794)))) % 18.94/19.19 (assume @p4458 (forall (@list @t2 @t10 @t561 @t831 @t207) (=> (tptp.hBOOL (tptp.hAPP @t1927 @t2096)) (= (tptp.hAPP (tptp.hAPP @t5089 @t5792) @t207) (tptp.hAPP @t2 (tptp.hAPP @t1610 @t207)))))) % 18.94/19.19 (assume @p4459 (forall (@list @t831 @t10 @t4950) (=> (=> @t5796 @t1987) (=> (forall @t456 (=> (tptp.hBOOL (tptp.hAPP @t2778 @t5705)) (= (tptp.hAPP @t4945 (tptp.hAPP @t5795 @t452)) @t831))) (= @t5745 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t4536) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t5228 @t4536) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5135 (tptp.tc_fun @t5228 @t4536) tptp.tc_Nat_Onat) @t5791) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4536 @t5135 tptp.tc_Nat_Onat) @t5089) @t5795)))) (tptp.c_List_Oupt @t1949 @t5705))) @t5790)))))) % 18.94/19.19 (assume @p4460 (forall (@list @t2 @t4950 @t219 @t10 @t38) (=> @t2949 (=> @t5186 (=> @t5798 (=> (= (tptp.hAPP @t5494 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP (tptp.hAPP @t2829 (tptp.hAPP tptp.c_fequal @t903)) @t2)) @t4950)) @t219) (= (tptp.hAPP @t5545 @t5797) @t4950))))))) % 18.94/19.19 (assume @p4461 (forall @t819 (=> @t68 (tptp.c_List_Olinorder__class_Osorted @t33 @t5308)))) % 18.94/19.19 (assume @p4462 (forall @t37 (=> @t68 (tptp.c_List_Olinorder__class_Osorted @t33 @t5333)))) % 18.94/19.19 (assume @p4463 (forall @t1881 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t5776))) % 18.94/19.19 (assume @p4464 (forall @t5142 (=> @t127 (tptp.c_List_Olinorder__class_Osorted @t10 @t5702)))) % 18.94/19.19 (assume @p4465 (forall @t5044 (=> @t127 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t5538) @t5799)))) % 18.94/19.19 (assume @p4466 (forall @t4986 (=> @t68 (=> @t5800 (tptp.c_List_Olinorder__class_Osorted @t33 @t5499))))) % 18.94/19.19 (assume @p4467 (forall @t4986 (=> @t68 (=> @t5315 (=> @t5800 (tptp.c_List_Olinorder__class_Osorted @t33 @t5236)))))) % 18.94/19.19 (assume @p4468 (forall @t5117 (=> @t68 (=> @t5800 (tptp.c_List_Olinorder__class_Osorted @t33 @t5115))))) % 18.94/19.19 (assume @p4469 (forall @t1881 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t5282))) % 18.94/19.19 (assume @p4470 (forall (@list @t81 @t4957 @t33) (=> @t68 (=> @t5800 (tptp.c_List_Olinorder__class_Osorted @t33 (tptp.c_List_Oremove1 @t33 @t81 @t4957)))))) % 18.94/19.19 (assume @p4471 (forall @t5302 (=> @t68 (=> @t67 (=> (tptp.c_List_Olinorder__class_Osorted @t33 @t5801) (tptp.c_List_Olinorder__class_Osorted @t33 (tptp.hAPP @t5010 @t5801))))))) % 18.94/19.19 (assume @p4472 (forall @t5514 (=> @t127 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5024 @t5802)) (and @t101 (tptp.c_List_Olinorder__class_Osorted @t10 @t5802)))))) % 18.94/19.19 (assume @p4473 (forall @t5117 (=> @t68 (=> @t5800 (tptp.c_List_Olinorder__class_Osorted @t33 @t5458))))) % 18.94/19.19 (assume @p4474 (forall @t5158 (=> @t127 (=> @t5799 (tptp.c_List_Olinorder__class_Osorted @t10 @t5551))))) % 18.94/19.19 (assume @p4475 (forall (@list @t1868 @t33) (=> @t68 (=> (tptp.c_List_Olinorder__class_Osorted @t33 @t1868) (tptp.c_List_Olinorder__class_Osorted @t33 (tptp.c_List_Oremdups @t33 @t1868)))))) % 18.94/19.19 (assume @p4476 (forall @t5408 (=> @t127 (=> @t5799 (=> @t5277 (=> @t5804 (=> @t5439 @t5803))))))) % 18.94/19.19 (assume @p4477 (forall @t5586 (=> @t127 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5575 (tptp.c_List_Olinorder__class_Osort__key @t38 @t10 @t2 @t4950)))))) % 18.94/19.19 (assume @p4478 (forall @t5806 (=> @t127 (=> @t5805 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5575 @t5547)))))) % 18.94/19.19 (assume @p4479 (forall @t5806 (=> @t127 (=> @t5805 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5575 (tptp.c_List_Oremove1 @t38 @t47 @t4950))))))) % 18.94/19.19 (assume @p4480 (forall @t5807 (=> @t127 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5575 @t5541)) @t5805)))) % 18.94/19.19 (assume @p4481 (forall (@list @t56 @t4950 @t2 @t38 @t10) (=> @t127 (=> @t5805 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5575 @t5809)))))) % 18.94/19.19 (assume @p4482 (forall @t5590 (=> @t127 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5575 (tptp.hAPP (tptp.c_List_Ofilter @t38 (tptp.hAPP (tptp.hAPP @t2898 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t25 @t38) tptp.c_fequal) @t2)) @t5810)) @t4950)))))) % 18.94/19.19 (assume @p4483 (forall (@list @t4950 @t1 @t10) (=> @t127 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t1192 @t5810)) @t4950))))) % 18.94/19.19 (assume @p4484 (forall @t5044 (=> @t127 (= @t5812 (and @t5799 @t5811))))) % 18.94/19.19 (assume @p4485 (forall @t5408 (=> @t127 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t5399) (and @t5799 @t5804 (forall @t7 (=> @t5164 (forall @t312 (=> (tptp.hBOOL (tptp.hAPP @t311 @t5406)) @t738))))))))) % 18.94/19.19 (assume @p4486 (forall (@list @t47 @t56 @t4950 @t2 @t38 @t10) (=> @t127 (=> @t5805 (=> @t59 (= (tptp.hAPP @t5808 @t5541) (tptp.hAPP @t5535 @t5809))))))) % 18.94/19.19 (assume @p4487 (forall (@list @t1099 @t1098 @t10) (=> @t127 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5079 @t1099)) (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t317 (tptp.hAPP @t5127 @t1099))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1098) @t3)))) (tptp.c_List_Olinorder__class_Osorted @t10 @t1099)))))) % 18.94/19.19 (assume @p4488 (forall @t51 (=> @t127 (=> @t1292 (and (= (tptp.hAPP @t5127 @t5305) @t23) (tptp.c_List_Olinorder__class_Osorted @t10 @t5305) (tptp.hBOOL (tptp.hAPP @t5275 @t5305))))))) % 18.94/19.19 (assume @p4489 (forall @t5768 (=> @t127 (=> @t5186 (=> @t5799 (= (tptp.hAPP (tptp.hAPP @t5529 @t219) @t5797) @t4950)))))) % 18.94/19.19 (assume @p4490 (forall @t5814 (=> @t68 (=> @t5800 (=> @t1782 (=> @t5813 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t5118) @t5247)))))))) % 18.94/19.19 (assume @p4491 (forall @t5142 (=> @t127 (= @t5799 (forall @t2519 (=> @t5291 (forall @t456 (=> @t5815 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t5101) @t5290)))))))))) % 18.94/19.19 (assume @p4492 (forall @t5579 (=> @t2949 (=> @t5572 (=> @t5798 (=> (tptp.hBOOL (tptp.hAPP @t5610 @t5568)) (=> (tptp.c_List_Olinorder__class_Osorted @t38 @t5570) (=> (tptp.hBOOL (tptp.hAPP @t5610 @t5570)) @t5803)))))))) % 18.94/19.19 (assume @p4493 (forall @t5821 (=> @t5820 (=> @t5818 (= (tptp.hAPP @t5744 @t5817) @t5816))))) % 18.94/19.19 (assume @p4494 (forall @t5289 (=> @t5820 (=> @t5749 (=> (tptp.hBOOL (tptp.hAPP @t5288 (tptp.hAPP @t5704 @t5743))) (= (tptp.hAPP (tptp.hAPP @t5089 @t5747) @t1135) (tptp.hAPP (tptp.hAPP @t5089 (tptp.hAPP @t5795 @t1135)) @t207))))))) % 18.94/19.19 (assume @p4495 (forall @t51 (tptp.c_Fun_Oinj__on @t4536 @t4536 @t5822 @t23))) % 18.94/19.19 (assume @p4496 (forall @t5142 (= (= @t5823 @t5309) @t5310))) % 18.94/19.19 (assume @p4497 (forall @t5142 (= (= @t5309 @t5823) @t5310))) % 18.94/19.19 (assume @p4498 (forall @t819 (= (tptp.hAPP @t5824 @t5308) @t5308))) % 18.94/19.19 (assume @p4499 (forall @t5044 (= (= @t5339 @t5823) @t5825))) % 18.94/19.19 (assume @p4500 (forall @t5158 (= (= @t5823 @t5339) @t5825))) % 18.94/19.19 (assume @p4501 (forall @t4963 (= (tptp.hAPP @t5824 @t5394) (tptp.hAPP (tptp.hAPP @t5392 (tptp.hAPP @t5824 @t4956)) @t5826)))) % 18.94/19.19 (assume @p4502 (forall @t5142 (= (tptp.hBOOL (tptp.hAPP @t5275 @t5823)) @t5277))) % 18.94/19.19 (assume @p4503 (forall @t5142 (= (tptp.hAPP @t5822 @t5701) (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5615 @t5822) (tptp.hAPP (tptp.c_List_Orev @t4536) @t4950)))))) % 18.94/19.19 (assume @p4504 (forall @t5586 (= @t5829 (tptp.hAPP @t5575 @t5828)))) % 18.94/19.19 (assume @p4505 (forall @t5731 (= (tptp.hAPP @t5822 @t5725) (tptp.hAPP @t5724 @t5823)))) % 18.94/19.19 (assume @p4506 (forall @t5281 (=> (= @t4962 @t5180) (= (tptp.hAPP (tptp.hAPP @t5181 @t5826) (tptp.hAPP @t5822 @t4956)) (tptp.hAPP (tptp.c_List_Orev @t5184) @t5183))))) % 18.94/19.19 (assume @p4507 (forall @t5142 (= (tptp.hAPP @t5127 @t5823) @t5141))) % 18.94/19.19 (assume @p4508 (forall @t4986 (=> @t1971 (= (tptp.hAPP @t5222 @t5826) @t5223)))) % 18.94/19.19 (assume @p4509 (forall @t5408 (= (= @t5823 @t5830) @t5061))) % 18.94/19.19 (assume @p4510 (forall @t5408 (= (= @t5823 @t4947) (= @t4950 @t5830)))) % 18.94/19.19 (assume @p4511 (forall @t4986 (= (tptp.hAPP @t5824 @t5826) @t4957))) % 18.94/19.19 (assume @p4512 (forall @t4986 (= (tptp.hAPP @t4960 @t5826) @t4962))) % 18.94/19.19 (assume @p4513 (forall @t5671 (= (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t5823 @t4947) (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t4950 @t5831)))) % 18.94/19.19 (assume @p4514 (forall @t5671 (= (tptp.c_List_Olist__all2 @t10 @t38 @t56 @t5823 @t5831) @t5670))) % 18.94/19.19 (assume @p4515 (forall (@list @t4950 @t219 @t2 @t38 @t10) (= @t5519 (tptp.c_List_Ofoldr @t38 @t10 (tptp.hAPP (tptp.c_COMBC @t10 @t38 @t10) @t2) @t5828 @t219)))) % 18.94/19.19 (assume @p4516 (forall (@list @t219 @t4950 @t2 @t10 @t38) (= @t5765 (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t38 (tptp.hAPP @t1183 @t2) @t219) @t5828)))) % 18.94/19.19 (assume @p4517 (forall @t5017 (= (tptp.hAPP @t5824 @t5016) (tptp.hAPP (tptp.hAPP @t5392 @t5826) @t5333)))) % 18.94/19.19 (assume @p4518 (forall (@list @t4947 @t97 @t4950 @t10) (= (= @t5823 @t5023) (= @t4950 (tptp.hAPP (tptp.hAPP @t5379 @t5830) @t5381))))) % 18.94/19.19 (assume @p4519 (forall @t5316 (=> @t5315 (= (tptp.c_List_Olast @t33 @t5826) @t5490)))) % 18.94/19.19 (assume @p4520 (forall @t5316 (=> @t5315 (= (tptp.hAPP @t5487 @t5826) @t5552)))) % 18.94/19.19 (assume @p4521 (forall @t5142 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5819 (tptp.hAPP @t5699 @t5745))))) % 18.94/19.19 (assume @p4522 (forall @t5142 (= @t5823 (tptp.hAPP (tptp.c_List_Ofoldl @t4536 @t10 @t5349 @t5309) @t4950)))) % 18.94/19.19 (assume @p4523 (forall @t5833 (= (tptp.hAPP @t5824 @t5461) (tptp.hAPP (tptp.hAPP @t5113 @t5832) @t5826)))) % 18.94/19.19 (assume @p4524 (forall @t5833 (= (tptp.hAPP @t5824 @t5284) (tptp.hAPP (tptp.hAPP @t5455 @t5832) @t5826)))) % 18.94/19.19 (assume @p4525 (forall @t5124 (= (tptp.hAPP @t5502 @t5826) (tptp.hAPP @t5824 (tptp.hAPP (tptp.c_List_Orotate @t33 (tptp.hAPP @t5238 @t5501)) @t4957))))) % 18.94/19.19 (assume @p4526 (forall @t5233 (=> @t5237 (= (tptp.hAPP (tptp.hAPP @t5097 @t5826) @t1536) (tptp.hAPP @t5099 (tptp.hAPP @t5238 @t2459)))))) % 18.94/19.19 (assume @p4527 (forall (@list @t64 @t4957 @t33 @t1791) (=> (tptp.hBOOL (tptp.hAPP @t1869 @t4962)) (= (tptp.hAPP @t5824 (tptp.hAPP @t5270 @t64)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t33 @t5826) (tptp.hAPP (tptp.hAPP @t1548 (tptp.hAPP @t5238 @t1791)) @t1599)) @t64))))) % 18.94/19.19 (assume @p4528 (forall @t5814 (=> @t68 (=> (tptp.c_List_Olinorder__class_Osorted @t33 @t5826) (=> @t1782 (=> @t5813 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t5247) @t5118)))))))) % 18.94/19.19 (assume @p4529 (forall @t5750 (=> @t127 (=> (tptp.c_List_Olinorder__class_Osorted @t10 @t5823) (and (=> @t5310 (= @t5834 @t97)) (=> @t5332 (= @t5834 (tptp.hAPP (tptp.hAPP @t2939 (tptp.hAPP @t5091 @t1949)) @t97)))))))) % 18.94/19.19 (assume @p4530 (forall @t5142 (=> @t5820 (and (=> @t5796 (= @t5748 @t1949)) (=> (not @t5796) (= @t5748 (tptp.hAPP @t4945 (tptp.hAPP @t5795 @t1949)))))))) % 18.94/19.19 (assume @p4531 (forall @t5821 (=> @t5820 (=> @t5818 (= (tptp.hAPP @t5704 @t5817) (tptp.hAPP @t4945 @t5816)))))) % 18.94/19.19 (assume @p4532 (forall @t5142 (=> @t5820 (= (tptp.c_List_Otranspose @t10 @t5745) (tptp.c_List_OtakeWhile @t4536 @t5718 @t4950))))) % 18.94/19.19 (assume @p4533 (= @t5779 (tptp.c_List_Oreturn__list @t5319))) % 18.94/19.19 (assume @p4534 (forall @t5166 (=> @t127 (=> @t5799 (tptp.c_List_Olinorder__class_Osorted @t10 @t5835))))) % 18.94/19.19 (assume @p4535 (forall @t5731 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t5836) @t4951)))) % 18.94/19.19 (assume @p4536 (forall (@list @t4950 @t56 @t47 @t10) (=> (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP @t5127 @t5835))) (and @t5146 @t59)))) % 18.94/19.19 (assume @p4537 (forall @t5731 (= (= @t5835 @t4950) @t5165))) % 18.94/19.19 (assume @p4538 (forall @t5671 (= (tptp.hAPP (tptp.hAPP @t5188 @t5835) @t4947) (tptp.c_List_OtakeWhile @t1321 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_HOL_Obool @t1321 @t56) @t4225) @t5190)))) % 18.94/19.19 (assume @p4539 (forall (@list @t4947 @t56 @t4950 @t38 @t10) (= (tptp.hAPP @t5189 (tptp.c_List_OtakeWhile @t38 @t56 @t4947)) (tptp.c_List_OtakeWhile @t1321 (tptp.hAPP (tptp.c_Fun_Ocomp @t38 tptp.tc_HOL_Obool @t1321 @t56) @t4224) @t5190)))) % 18.94/19.19 (assume @p4540 (forall @t5729 (= (tptp.c_List_OtakeWhile @t10 @t56 @t5577) (tptp.hAPP @t5575 (tptp.c_List_OtakeWhile @t38 @t5726 @t4950))))) % 18.94/19.19 (assume @p4541 (forall @t5166 (=> @t5277 (tptp.hBOOL (tptp.hAPP @t5275 @t5835))))) % 18.94/19.19 (assume @p4542 (forall (@list @t395 @t4950 @t10 @t47 @t56) (=> @t5730 (= (tptp.c_List_OtakeWhile @t10 @t56 (tptp.hAPP @t5384 @t5380)) @t5835)))) % 18.94/19.19 (assume @p4543 (forall @t5736 (and (=> @t59 (= @t5837 (tptp.hAPP @t5024 @t5835))) (=> @t5730 (= @t5837 @t5309))))) % 18.94/19.19 (assume @p4544 (forall @t5731 (= @t5835 (tptp.hAPP (tptp.hAPP @t5110 @t5836) @t4950)))) % 18.94/19.19 (assume @p4545 (forall @t172 (= (tptp.c_List_OtakeWhile @t10 @t56 @t5309) @t5309))) % 18.94/19.19 (assume @p4546 (forall @t3853 (= (tptp.c_List_Oreturn__list @t395) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint tptp.tc_Nat_Onat) tptp.c_Int_Onat) @t395)))) % 18.94/19.19 (assume @p4547 (forall @t5839 (=> @t5146 (=> @t5730 (= @t5838 @t5835))))) % 18.94/19.19 (assume @p4548 (forall @t5840 (=> (tptp.hBOOL (tptp.hAPP @t5288 @t5836)) (= (tptp.hAPP (tptp.hAPP @t5089 @t5835) @t1135) @t5287)))) % 18.94/19.19 (assume @p4549 (forall @t5731 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 @t5836) @t4951)) (not (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t5091 @t5836))))))) % 18.94/19.19 (assume @p4550 (forall @t5496 (=> @t5332 (=> @t5277 (= (tptp.c_List_OtakeWhile @t10 (tptp.hAPP @t1188 (tptp.hAPP @t1192 @t5567)) @t4950) @t5234))))) % 18.94/19.19 (assume @p4551 (forall (@list @t909 @t4950 @t2 @t38 @t10) (=> @t127 (=> (tptp.c_List_Olinorder__class_Osorted @t10 @t5829) (= (tptp.hAPP (tptp.c_List_Ofilter @t38 @t5842) @t4950) (tptp.c_List_OtakeWhile @t38 @t5842 @t4950)))))) % 18.94/19.19 (assume @p4552 (forall @t3741 (=> (tptp.c_List_Onat__list @t1868) (= (tptp.c_List_Oembed__list (tptp.c_List_Oreturn__list @t1868)) @t1868)))) % 18.94/19.19 (assume @p4553 (forall (@list @t1537 @t1868) (= (tptp.hAPP (tptp.hAPP @t5777 @t1868) @t1537) (tptp.c_List_Oreturn__list (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Int_Oint) (tptp.c_List_Oembed__list @t1868)) (tptp.c_List_Oembed__list @t1537)))))) % 18.94/19.19 (assume @p4554 (forall @t3853 (= (tptp.c_List_Oembed__list @t395) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Int_Oint) @t2182) @t395)))) % 18.94/19.19 (assume @p4555 (forall @t5158 (=> @t5277 (=> @t5146 (= (tptp.c_List_OtakeWhile @t10 @t5843 @t5823) (tptp.hAPP @t5822 (tptp.hAPP @t5511 (tptp.c_List_OdropWhile @t10 @t5843 @t4950)))))))) % 18.94/19.19 (assume @p4556 (forall @t5158 (=> @t5277 (=> @t5146 (= (tptp.c_List_OdropWhile @t10 @t5843 @t5823) (tptp.hAPP @t5024 (tptp.hAPP @t5822 (tptp.c_List_OtakeWhile @t10 @t5843 @t4950)))))))) % 18.94/19.19 (assume @p4557 (forall @t5731 (= (tptp.hAPP @t5845 @t5844) @t4950))) % 18.94/19.19 (assume @p4558 (forall @t5166 (=> @t127 (=> @t5799 (tptp.c_List_Olinorder__class_Osorted @t10 @t5844))))) % 18.94/19.19 (assume @p4559 (forall @t5731 (=> (not @t5846) (not (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t5494 @t5844))))))) % 18.94/19.19 (assume @p4560 (forall @t5731 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1512 @t5847) @t4951)))) % 18.94/19.19 (assume @p4561 (forall @t5731 (= @t5846 @t5165))) % 18.94/19.19 (assume @p4562 (forall @t5166 (=> @t5277 (tptp.hBOOL (tptp.hAPP @t5275 @t5844))))) % 18.94/19.19 (assume @p4563 (forall @t5736 (and (=> @t59 (= @t5848 @t5844)) (=> @t5730 (= @t5848 @t5025))))) % 18.94/19.19 (assume @p4564 (forall @t172 (= (tptp.c_List_OdropWhile @t10 @t56 @t5309) @t5309))) % 18.94/19.19 (assume @p4565 (forall @t5729 (= (tptp.c_List_OdropWhile @t10 @t56 @t5577) (tptp.hAPP @t5575 (tptp.c_List_OdropWhile @t38 @t5726 @t4950))))) % 18.94/19.19 (assume @p4566 (forall @t5839 (=> @t5146 (=> @t5730 (= @t5849 (tptp.hAPP (tptp.hAPP @t5379 @t5844) @t4947)))))) % 18.94/19.19 (assume @p4567 (forall (@list @t4947 @t97 @t4950 @t56 @t10) (= (= @t5844 @t5023) (and (= @t4950 (tptp.hAPP @t5845 @t5023)) (not @t4706))))) % 18.94/19.19 (assume @p4568 (forall @t5731 (= @t5844 (tptp.hAPP (tptp.hAPP @t5462 @t5836) @t4950)))) % 18.94/19.19 (assume @p4569 (forall @t5840 (=> (tptp.hBOOL (tptp.hAPP @t5288 @t5847)) (= (tptp.hAPP (tptp.hAPP @t5089 @t5844) @t1135) (tptp.hAPP @t5091 (tptp.hAPP @t1642 @t5836)))))) % 18.94/19.19 (assume @p4570 (forall (@list @t2 @t56 @t4950 @t10 @t38) (=> @t5649 (=> (forall @t7 (=> @t5164 (=> @t2818 @t2431))) (= (tptp.hAPP @t5611 (tptp.hAPP @t5565 @t5725)) @t5612))))) % 18.94/19.19 (assume @p4571 (forall @t4986 (=> @t68 (=> (forall @t3396 (=> @t5815 (=> (tptp.hBOOL (tptp.hAPP @t2518 @t4962)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t5242) (tptp.hAPP @t5099 @t2517)))))) @t5800)))) % 18.94/19.19 (assume @p4572 (forall @t5731 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t317 (tptp.hAPP @t5127 @t5844))) @t2818)) (= @t5835 @t5725)))) % 18.94/19.19 (assume @p4573 (forall @t5851 (=> (forall @t456 (=> @t2779 @t5162)) (=> (=> @t5173 (not @t5850)) (= @t5835 @t5143))))) % 18.94/19.19 (assume @p4574 (forall (@list @t4950 @t10 @t56 @t1135) (=> (forall @t456 (=> (tptp.hBOOL (tptp.hAPP @t2778 @t1135)) @t5161)) (=> (tptp.hBOOL (tptp.hAPP @t1761 @t4951)) (tptp.hBOOL (tptp.hAPP @t1761 @t5836)))))) % 18.94/19.19 (assume @p4575 (forall @t751 (=> @t127 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t219) (or @t5562 (exists (@list @t5074 @t3) (and (= @t219 @t5076) (forall @t312 (=> (tptp.hBOOL (tptp.hAPP @t311 (tptp.hAPP @t5127 @t5074))) @t738)) (tptp.c_List_Olinorder__class_Osorted @t10 @t5074)))))))) % 18.94/19.19 (assume @p4576 (forall @t5807 (=> (tptp.c_Fun_Oinj__on @t10 @t38 @t2 @t5148) @t5854))) % 18.94/19.19 (assume @p4577 (forall @t5044 @t5856)) % 18.94/19.19 (assume @p4578 (forall @t5395 (= (tptp.hAPP @t5857 @t5394) (tptp.hAPP (tptp.hAPP @t5392 @t5858) (tptp.hAPP @t5857 @t4956))))) % 18.94/19.19 (assume @p4579 (forall @t5017 (= (tptp.c_List_Oinsert @t33 @t32 @t5681) (tptp.c_List_Oremdups @t33 @t5859)))) % 18.94/19.19 (assume @p4580 (forall @t597 (= @t5852 (tptp.c_List_Ofilter @t10 (tptp.hAPP @t1188 @t1194))))) % 18.94/19.19 (assume @p4581 (forall @t5736 (=> @t5730 (= (tptp.hAPP @t5852 @t5725) @t5725)))) % 18.94/19.19 (assume @p4582 (forall @t5298 (=> @t5279 (tptp.hBOOL (tptp.hAPP @t5278 @t5859))))) % 18.94/19.19 (assume @p4583 (forall @t5298 (=> @t5279 (tptp.hBOOL (tptp.hAPP @t5278 @t5858))))) % 18.94/19.19 (assume @p4584 (forall @t5300 (and (=> @t76 (= @t5860 @t5858)) (=> @t999 (= @t5860 (tptp.hAPP @t5255 @t5858)))))) % 18.94/19.19 (assume @p4585 (forall @t37 (= (tptp.hAPP @t5857 @t5308) @t5308))) % 18.94/19.19 (assume @p4586 (forall @t5044 (=> @t5152 (= @t5853 @t4950)))) % 18.94/19.19 (assume @p4587 (forall @t5298 (=> @t5279 (= @t5297 @t5858)))) % 18.94/19.19 (assume @p4588 (forall @t5044 @t5861)) % 18.94/19.19 (assume @p4589 (forall @t5044 (= (tptp.hAPP @t5127 @t5855) @t5148))) % 18.94/19.19 (assume @p4590 (forall @t37 (= (tptp.c_List_Oinsert @t33 @t32 @t5308) @t5333))) % 18.94/19.19 (assume @p4591 (forall @t5807 (=> @t1092 @t5854))) % 18.94/19.19 (assume @p4592 (forall @t5044 (= (tptp.hAPP @t5127 @t5853) @t5294))) % 18.94/19.19 (assume @p4593 (forall @t5044 (and @t5861 @t5856))) % 18.94/19.19 (assume @p4594 (forall @t5584 (= @t5863 @t5862))) % 18.94/19.19 (assume @p4595 (forall @t5586 (= @t5862 @t5863))) % 18.94/19.19 (assume @p4596 (forall @t761 (= (tptp.c_List_Omaps @t38 @t10 @t2 @t5365) @t5309))) % 18.94/19.19 (assume @p4597 (forall @t5543 (= (tptp.c_List_Omaps @t38 @t10 @t2 @t5518) (tptp.hAPP (tptp.hAPP @t5379 @t49) @t5863)))) % 18.94/19.19 (assume @p4598 (forall @t5142 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4536) @t4950)) (=> (forall @t5869 (=> @t5868 (tptp.hBOOL (tptp.hAPP @t5275 @t5081)))) (=> (forall @t5869 (=> @t5868 (forall @t5867 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5029 @t5864) @t5700)) (=> (not (= @t5081 @t5864)) (= (tptp.hAPP (tptp.hAPP @t601 @t5866) @t5865) @t749)))))) (tptp.hBOOL (tptp.hAPP @t5275 @t5701))))))) % 18.94/19.19 (assume @p4599 (forall @t5875 (=> @t4330 (=> @t5874 @t5872)))) % 18.94/19.19 (assume @p4600 (forall @t5876 (tptp.c_Wellfounded_Owf @t10 @t5873))) % 18.94/19.19 (assume @p4601 (forall @t107 (not (tptp.hBOOL (tptp.hAPP @t4219 (tptp.c_List_Omeasures @t10 (tptp.c_List_Olist_ONil @t5871))))))) % 18.94/19.19 (assume @p4602 (forall @t5876 (= @t5873 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5228 @t10) (tptp.c_List_Olex tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5877 @t5228) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5871 tptp.tc_Nat_Onat) (tptp.tc_fun @t5877 @t5228) @t10) (tptp.c_List_Omap @t5871 tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBC @t5871 @t10 tptp.tc_Nat_Onat) (tptp.c_COMBI @t5871)))) @t5870))))) % 18.94/19.19 (assume @p4603 (forall (@list @t5870 @t2 @t97 @t47 @t10) (= @t5872 (or @t4215 (and @t175 @t5874))))) % 18.94/19.19 (assume @p4604 (forall @t5875 (=> @t4215 @t5872))) % 18.94/19.19 (assume @p4605 (forall (@list @t2608 @t1 @t1104 @t2 @t38 @t150 @t4950 @t10) (=> (forall @t7 (=> @t5164 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t150 @t150 @t38 @t5) @t1104) (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t150 @t38 @t1104) @t4)))) (= (tptp.hAPP (tptp.c_List_Ofoldl @t150 @t10 (tptp.hAPP (tptp.c_COMBC @t10 @t150 @t150) @t2) (tptp.hAPP @t1104 @t2608)) @t4950) (tptp.hAPP @t1104 (tptp.hAPP (tptp.c_List_Ofoldl @t38 @t10 (tptp.hAPP @t2142 @t1) @t2608) @t4950)))))) % 18.94/19.19 (assume @p4606 (forall (@list @t56 @t4947 @t38 @t4950 @t10) (=> (=> (= (tptp.hAPP @t4945 @t5879) (tptp.hAPP @t5202 @t5878)) (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP (tptp.hAPP @t5188 @t5879) @t5878)))) (tptp.hBOOL (tptp.hAPP @t56 @t5190))))) % 18.94/19.19 (assume @p4607 (forall (@list @t5880 @t5881 @t5882 @t361) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t361 @t5882 @t5881 @t5880) (tptp.c_New__DSequence_Opos__not__seq @t5883)))) % 18.94/19.19 (assume @p4608 (forall @t5884 (=> @t5165 (= @t5849 (tptp.c_List_OdropWhile @t10 @t56 @t4947))))) % 18.94/19.19 (assume @p4609 (forall (@list @t56 @t216 @t38 @t219 @t10) (=> @t5679 (=> (forall @t2229 (=> (tptp.hBOOL (tptp.hAPP @t5094 @t5678)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t56 (tptp.hAPP (tptp.hAPP @t5089 @t219) @t2225)) (tptp.hAPP (tptp.hAPP @t5205 @t216) @t2225))))) @t5673)))) % 18.94/19.19 (assume @p4610 (forall @t51 (=> @t127 (=> @t1292 (exists @t7 (and (= (tptp.hAPP @t5127 @t3) @t23) (tptp.c_List_Olinorder__class_Osorted @t10 @t3) (tptp.hBOOL (tptp.hAPP @t5275 @t3)) (forall @t199 (=> (and (= (tptp.hAPP @t5127 @t195) @t23) (tptp.c_List_Olinorder__class_Osorted @t10 @t195) (tptp.hBOOL (tptp.hAPP @t5275 @t195))) @t1105)))))))) % 18.94/19.19 (assume @p4611 (forall @t5884 (=> @t5165 (= @t5838 (tptp.hAPP @t5384 (tptp.c_List_OtakeWhile @t10 @t56 @t4947)))))) % 18.94/19.19 (assume @p4612 (forall (@list @t219 @t2 @t4950 @t10 @t38) (=> @t2949 (=> (forall @t7 (=> @t5164 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t39 @t903) @t5)))) (= @t5546 (tptp.hAPP @t5007 @t4950)))))) % 18.94/19.19 (assume @p4613 (forall @t5839 (= (= @t5025 @t5738) @t5885))) % 18.94/19.19 (assume @p4614 (forall (@list @t4950 @t47 @t4947 @t56 @t10) (= (= @t5738 @t5025) @t5885))) % 18.94/19.19 (assume @p4615 (forall @t5851 (=> @t5173 (=> @t5165 @t5850)))) % 18.94/19.19 (assume @p4616 (forall @t5158 (=> @t127 (=> @t5811 (=> @t5799 @t5812))))) % 18.94/19.19 (assume @p4617 (forall @t5731 (= @t5887 (exists @t2229 (and @t5095 @t5886))))) % 18.94/19.19 (assume @p4618 (forall @t5044 (= @t5146 (exists @t5889 @t5888)))) % 18.94/19.19 (assume @p4619 (forall @t5667 (= (tptp.c_List_Olist__ex @t10 @t56 @t5025) (or @t59 @t5887)))) % 18.94/19.19 (assume @p4620 (forall @t5731 (= (tptp.c_List_Olist__ex @t10 @t56 @t5823) @t5887))) % 18.94/19.19 (assume @p4621 (forall @t5731 (= @t5887 @t5890))) % 18.94/19.19 (assume @p4622 (forall @t5739 (= (tptp.c_List_Olist__ex @t10 @t56 @t5399) (or @t5887 (tptp.c_List_Olist__ex @t10 @t56 @t4947))))) % 18.94/19.19 (assume @p4623 (forall @t172 (not (tptp.c_List_Olist__ex @t10 @t56 @t5309)))) % 18.94/19.19 (assume @p4624 (forall @t5044 (= @t5146 (exists @t5869 (and (exists @t5867 @t5888) (not (tptp.hBOOL (tptp.hAPP @t334 @t5866)))))))) % 18.94/19.19 (assume @p4625 (forall @t5044 (= @t5146 (exists @t5889 (and @t5888 (not (tptp.hBOOL (tptp.hAPP @t334 @t5865)))))))) % 18.94/19.19 (assume @p4626 (forall @t5731 (= @t5891 (forall @t2229 (=> @t5095 @t5886))))) % 18.94/19.19 (assume @p4627 (forall (@list @t56 @t1082 @t10) (=> @t1308 (=> @t1436 (=> (forall (@list @t3 @t1439) (=> @t1442 (=> (not (tptp.hBOOL (tptp.hAPP @t317 @t1439))) (=> @t1440 (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t1125 @t1439))))))) @t1438))))) % 18.94/19.19 (assume @p4628 (forall @t5667 (= (tptp.c_List_Olist__all @t10 @t56 @t5025) (and @t59 @t5891)))) % 18.94/19.19 (assume @p4629 (forall @t5731 (= (tptp.c_List_Olist__all @t10 @t56 @t5823) @t5891))) % 18.94/19.19 (assume @p4630 (forall @t5731 (= @t5891 @t5165))) % 18.94/19.19 (assume @p4631 (forall @t5739 (= (tptp.c_List_Olist__all @t10 @t56 @t5399) (and @t5891 (tptp.c_List_Olist__all @t10 @t56 @t4947))))) % 18.94/19.19 (assume @p4632 (forall @t172 (tptp.c_List_Olist__all @t10 @t56 @t5309))) % 18.94/19.19 (assume @p4633 (forall @t5166 (= @t5165 @t5891))) % 18.94/19.19 (assume @p4634 (forall @t5667 (= (tptp.c_List_Olist__ex1 @t10 @t56 @t5025) (and (=> @t59 (tptp.c_List_Olist__all @t10 (tptp.hAPP (tptp.hAPP @t1174 (tptp.hAPP @t2823 @t2827)) @t1194) @t4950)) (=> @t5730 @t5892))))) % 18.94/19.19 (assume @p4635 (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) @t2728))) % 18.94/19.19 (assume @p4636 (forall @t172 (not (tptp.c_List_Olist__ex1 @t10 @t56 @t5309)))) % 18.94/19.19 (assume @p4637 (forall @t1063 @t5893)) % 18.94/19.19 (assume @p4638 (forall @t751 (tptp.c_FunDef_Ois__measure @t10 @t219))) % 18.94/19.19 (assume @p4639 (forall @t658 (=> (tptp.class_Nat_Osize @t10) (tptp.c_FunDef_Ois__measure @t10 (tptp.c_Nat_Osize__class_Osize @t10))))) % 18.94/19.19 (assume @p4640 (forall @t5894 (=> @t5893 (tptp.c_FunDef_Ois__measure @t3532 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 tptp.tc_Nat_Onat @t3532) @t2) @t4196))))) % 18.94/19.19 (assume @p4641 (forall @t5894 (=> @t5893 (tptp.c_FunDef_Ois__measure @t1321 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 tptp.tc_Nat_Onat @t1321) @t2) @t4225))))) % 18.94/19.19 (assume @p4642 (forall @t5731 (= @t5892 (exists @t7 (and @t5164 @t314 (forall @t199 (=> (and (tptp.hBOOL (tptp.hAPP @t2437 @t5141)) @t198) @t1105))))))) % 18.94/19.19 (assume @p4643 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2182 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 18.94/19.19 (assume @p4644 (forall @t5901 (and (=> @t5899 (= @t5898 (tptp.c_Lazy__Sequence_Ohit__bound @t10))) (=> @t5900 (= @t5898 (tptp.c_Lazy__Sequence_Ohb__bind @t38 @t10 @t5897 @t5896)))))) % 18.94/19.19 (assume @p4645 (= (tptp.hAPP @t5902 tptp.c_fFalse) @t1949)) % 18.94/19.19 (assume @p4646 (= (tptp.hAPP @t5902 tptp.c_fTrue) @t1949)) % 18.94/19.19 (assume @p4647 (forall @t5907 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t38 @t10 @t361 @t2 @t5882 @t5881 @t5880) (tptp.c_New__DSequence_Oneg__decr__bind @t38 @t10 @t5883 @t5906)))) % 18.94/19.19 (assume @p4648 (forall @t5909 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t38 @t10 @t47 @t2) @t207) (tptp.c_Lazy__Sequence_Ohb__bind @t38 @t10 @t5908 @t5896)))) % 18.94/19.19 (assume @p4649 (forall @t5907 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t38 @t10 @t361 @t2) @t5882) @t5881) @t5880) (tptp.c_New__DSequence_Oneg__bind @t38 @t10 @t5883 @t5906)))) % 18.94/19.19 (assume @p4650 (forall @t5901 (and (=> @t5899 (= @t5912 (tptp.c_Lazy__Sequence_Oempty @t10))) (=> @t5900 (= @t5912 (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t38 @t10 @t5897) @t5911)))))) % 18.94/19.19 (assume @p4651 (forall @t5907 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t38 @t10 @t361 @t2 @t5882 @t5881 @t5880) (tptp.c_New__DSequence_Opos__decr__bind @t38 @t10 @t5883 @t5916)))) % 18.94/19.19 (assume @p4652 (forall (@list @t5917 @t33) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__empty @t33) @t5917) (tptp.c_Lazy__Sequence_Oempty @t33)))) % 18.94/19.19 (assume @p4653 (forall (@list @t5880 @t5881 @t5882 @t10) (= (tptp.c_New__Random__Sequence_Opos__empty @t10 @t5882 @t5881 @t5880) (tptp.c_New__DSequence_Opos__empty @t10)))) % 18.94/19.19 (assume @p4654 (forall @t5909 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t38 @t10 @t47 @t2) @t207) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t38 @t10 @t5908) @t5911)))) % 18.94/19.19 (assume @p4655 (forall @t5907 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t38 @t10 @t361 @t2) @t5882) @t5881) @t5880) (tptp.c_New__DSequence_Opos__bind @t38 @t10 @t5883 @t5916)))) % 18.94/19.19 (assume @p4656 (forall @t5919 (= (tptp.c_New__Random__Sequence_Oneg__map @t38 @t10 @t2 @t56) (tptp.c_New__Random__Sequence_Oneg__bind @t38 @t10 @t56 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5905) @t38 @t5918) @t2))))) % 18.94/19.19 (assume @p4657 (forall @t5920 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5918 @t47) @t5882) @t5881) @t5880) (tptp.c_New__DSequence_Oneg__single @t10 @t47)))) % 18.94/19.19 (assume @p4658 (forall @t5919 (= (tptp.c_New__Random__Sequence_Opos__map @t38 @t10 @t2 @t56) (tptp.c_New__Random__Sequence_Opos__bind @t38 @t10 @t56 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5915) @t38 @t5921) @t2))))) % 18.94/19.19 (assume @p4659 (forall @t5922 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t33 @t32) @t5917) (tptp.c_Lazy__Sequence_Ohb__single @t33 @t32)))) % 18.94/19.19 (assume @p4660 (forall @t5920 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5921 @t47) @t5882) @t5881) @t5880) (tptp.c_New__DSequence_Opos__single @t10 @t47)))) % 18.94/19.19 (assume @p4661 (forall @t5922 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t33 @t32) @t5917) (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle @t33) @t32)))) % 18.94/19.19 (assume @p4662 (forall @t4963 (= (tptp.hAPP @t4960 @t5923) @t5414))) % 18.94/19.19 (assume @p4663 (forall (@list @t4956 @t64 @t4957 @t32 @t33) (= (tptp.c_List_Osplice @t33 @t5016 @t5428) (tptp.hAPP @t5010 (tptp.hAPP @t5255 @t5923))))) % 18.94/19.19 (assume @p4664 (forall @t5420 (= (tptp.c_List_Osplice @t33 @t5308 @t4956) @t4956))) % 18.94/19.19 (assume @p4665 (forall @t4986 (= (tptp.c_List_Osplice @t33 @t4957 @t5308) @t4957))) % 18.94/19.19 (assume @p4666 (forall (@list @t5924 @t2151 @t33) (= (tptp.c_List_Osplice @t33 @t5925 @t5308) @t5925))) % 18.94/19.19 (assume @p4667 (forall (@list @t5928 @t5929 @t38 @t10) (= (tptp.c_Lazy__Sequence_Oproduct @t10 @t38 @t5929 @t5928) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t10 @t1321 @t5929) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5927 @t5926 @t10) (tptp.c_Lazy__Sequence_Obind @t38 @t1321 @t5928)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3962 @t5927 @t10) (tptp.hAPP (tptp.c_COMBB @t1321 @t5926 @t38) (tptp.c_Lazy__Sequence_Osingle @t1321))) @t3953)))))) % 18.94/19.19 (assume @p4668 (forall @t2832 (=> @t1216 (= (tptp.hAPP @t659 @t2806) (tptp.hAPP @t2830 (tptp.hAPP (tptp.hAPP @t5841 @t56) @t5930)))))) % 18.94/19.19 (assume @p4669 (forall @t1096 (=> @t1088 (=> @t335 (=> @t1015 (= @t5932 @t47)))))) % 18.94/19.19 (assume @p4670 (forall @t1152 (=> @t1088 (=> @t335 (= (tptp.hAPP @t5931 @t49) @t47))))) % 18.94/19.19 (assume @p4671 (forall @t985 (=> @t1092 (= (tptp.hAPP @t5930 @t49) @t47)))) % 18.94/19.19 (assume @p4672 (forall @t1016 (=> @t1092 (=> @t1015 (= @t5933 @t47))))) % 18.94/19.19 (assume @p4673 (forall @t1177 (= @t5934 (tptp.c_Hilbert__Choice_OEps @t10 @t1176)))) % 18.94/19.19 (assume @p4674 (forall @t1090 (=> @t1216 (= (tptp.c_Hilbert__Choice_Oinv__into @t38 @t10 @t612 @t5930) @t2)))) % 18.94/19.19 (assume @p4675 (forall @t1090 (=> @t1216 (tptp.c_Fun_Obij__betw @t38 @t10 @t5930 @t612 @t600)))) % 18.94/19.19 (assume @p4676 (forall @t652 (=> @t1262 (tptp.c_Fun_Obij__betw @t38 @t10 @t5931 @t22 @t23)))) % 18.94/19.19 (assume @p4677 (forall (@list @t219 @t1118 @t23 @t2 @t38 @t10) (=> @t1259 (=> @t251 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t38 @t10 @t1118 @t5931) @t219) @t903))))) % 18.94/19.19 (assume @p4678 (forall (@list @t1272 @t1118 @t23 @t2 @t10 @t38) (=> @t4692 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t26 @t1272) @t1118)) (= (tptp.hAPP @t605 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t38 @t5935) @t1272)) @t1272))))) % 18.94/19.19 (assume @p4679 (forall @t761 (= @t733 (forall @t7 (= (tptp.hAPP @t2 (tptp.hAPP @t5936 @t3)) @t3))))) % 18.94/19.19 (assume @p4680 (forall (@list @t97 @t2 @t10 @t38) (=> @t733 (= (tptp.hAPP @t2 (tptp.hAPP @t5936 @t97)) @t97)))) % 18.94/19.19 (assume @p4681 (forall @t734 (=> @t733 (= (tptp.hAPP @t605 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t38 @t5936) @t23)) @t23)))) % 18.94/19.19 (assume @p4682 (forall (@list @t97 @t47 @t2 @t23 @t38 @t10) (=> (= @t5934 @t5932) (=> @t1139 (=> @t1115 @t98))))) % 18.94/19.19 (assume @p4683 (forall (@list @t23 @t2 @t38 @t47 @t10) (=> (tptp.hBOOL (tptp.hAPP @t334 @t606)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 (tptp.hAPP @t5935 @t47)) @t23))))) % 18.94/19.19 (assume @p4684 (forall (@list @t23 @t2 @t38 @t97 @t10) (=> (tptp.hBOOL (tptp.hAPP @t332 @t606)) (= (tptp.hAPP @t2 (tptp.hAPP @t5935 @t97)) @t97)))) % 18.94/19.19 (assume @p4685 (forall @t658 (= (tptp.c_Hilbert__Choice_Oinv__into @t10 @t10 @t600 @t4662) @t4662))) % 18.94/19.19 (assume @p4686 (forall (@list @t97 @t2 @t38 @t10) (= @t5933 (tptp.c_Hilbert__Choice_OEps @t10 (tptp.hAPP @t1142 @t97))))) % 18.94/19.19 (assume @p4687 (forall @t679 (=> @t678 (tptp.c_Fun_Oinj__on @t10 @t38 @t5935 @t22)))) % 18.94/19.19 (assume @p4688 (forall (@list @t348 @t23 @t2 @t38 @t10) (=> @t1088 (=> (tptp.hBOOL (tptp.hAPP @t2719 @t23)) (= (tptp.hAPP (tptp.c_Set_Oimage @t38 @t10 @t5931) @t737) @t348))))) % 18.94/19.19 (assume @p4689 (forall @t1090 (=> @t1092 (= (tptp.hAPP @t5937 @t612) @t600)))) % 18.94/19.19 (assume @p4690 (forall @t760 (=> @t1092 (= (tptp.hAPP @t5937 @t660) @t23)))) % 18.94/19.19 (assume @p4691 (forall (@list @t271 @t2 @t38 @t10) (=> @t1092 (= (tptp.hAPP @t5937 (tptp.hAPP @t659 @t271)) @t271)))) % 18.94/19.19 (assume @p4692 (forall @t761 (=> @t733 (tptp.c_Fun_Oinj__on @t10 @t38 @t5936 @t600)))) % 18.94/19.19 (assume @p4693 (forall @t1207 (=> @t1092 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t150 @t10 (tptp.hAPP @t1270 @t5930)) @t2) @t1)))) % 18.94/19.19 (assume @p4694 (forall @t1207 (=> @t1216 (=> (tptp.c_Fun_Obij__betw @t150 @t10 @t1 @t1263 @t600) (= (tptp.c_Hilbert__Choice_Oinv__into @t150 @t38 @t1263 @t1222) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t150 @t38 (tptp.c_Hilbert__Choice_Oinv__into @t150 @t10 @t1263 @t1)) @t5930)))))) % 18.94/19.19 (assume @p4695 (forall @t1226 (=> @t1225 (=> @t1224 (=> @t1223 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t150 @t38 @t23 @t1222) @t47) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t150 @t38 (tptp.c_Hilbert__Choice_Oinv__into @t150 @t10 @t23 @t1)) (tptp.c_Hilbert__Choice_Oinv__into @t10 @t38 @t1221 @t2)) @t47))))))) % 18.94/19.19 (assume @p4696 (forall @t761 (= @t733 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t38 @t10 @t10 @t2) @t5936) @t4662)))) % 18.94/19.19 (assume @p4697 (forall @t1090 (=> @t1092 @t5938))) % 18.94/19.19 (assume @p4698 (forall @t1090 (= @t1092 @t5938))) % 18.94/19.19 (assume @p4699 (forall @t760 (=> @t1216 (= @t1151 (tptp.hAPP @t5937 @t23))))) % 18.94/19.19 (assume @p4700 (forall (@list @t47 @t56 @t2 @t38 @t10) (=> @t1092 (=> (forall @t199 (=> (tptp.hBOOL (tptp.hAPP @t4673 @t1107)) (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP @t5930 @t195))))) @t59)))) % 18.94/19.19 (assume @p4701 (forall (@list @t215 @t10) (=> @t5942 (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4536 @t215) (tptp.c_Lazy__Sequence_Oappend @t4536 (tptp.hAPP @t5939 @t5309) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t5940) @t2419) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t4998 @t4536 (tptp.c_Lazy__Sequence_Oproduct @t10 @t4536 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t10 @t5941) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4536 @t5941))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t4536 @t5940) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5031 (tptp.tc_fun @t4536 @t5940) @t10) (tptp.hAPP (tptp.c_COMBB @t4536 @t5940 @t4536) @t5939)) @t4996)))) (tptp.c_Lazy__Sequence_Oempty @t4536))))))) % 18.94/19.19 (assume @p4702 (forall (@list @t504 @t10 @t33) (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t33) @t5942) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t5184 @t504) (tptp.c_Lazy__Sequence_Oproduct @t33 @t10 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t33 @t504) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t10 @t504)))))) % 18.94/19.19 (assume @p4703 (forall (@list @t207 @t5943 @t5650 @t10) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__union @t10 @t5650 @t5943) @t207) (tptp.c_Lazy__Sequence_Oappend @t10 @t5944 (tptp.hAPP @t5943 @t207))))) % 18.94/19.19 (assume @p4704 (forall @t3489 (= (tptp.c_Wellfounded_Oacyclic @t10 (tptp.hAPP @t4262 (tptp.hAPP @t4261 (tptp.c_Predicate_Oconversep @t10 @t10 @t124)))) @t4702))) % 18.94/19.19 (assume @p4705 (forall @t4834 (= (tptp.c_Predicate_Oconversep @t38 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t300) @t124) @t2608)) (tptp.hAPP (tptp.hAPP @t3968 @t5946) @t5945)))) % 18.94/19.19 (assume @p4706 (forall @t658 (= (tptp.c_Predicate_Oconversep @t10 @t10 tptp.c_fequal) tptp.c_fequal))) % 18.94/19.19 (assume @p4707 (forall @t4565 (= (tptp.c_Predicate_Oconversep @t38 @t10 @t5947) @t124))) % 18.94/19.19 (assume @p4708 (forall @t5950 (= @t5949 @t5948))) % 18.94/19.19 (assume @p4709 (forall (@list @t1099 @t1098 @t124 @t38 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5947 @t1098) @t1099)) @t5078))) % 18.94/19.19 (assume @p4710 (forall @t4571 (=> @t4205 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5947 @t216) @t219))))) % 18.94/19.19 (assume @p4711 (forall @t5950 (=> @t5949 @t5948))) % 18.94/19.19 (assume @p4712 (forall @t107 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t10 @t10 (tptp.hAPP (tptp.hAPP @t3510 @t1188) tptp.c_fequal)) @t47) @t97)) @t992))) % 18.94/19.19 (assume @p4713 (forall @t4832 (= (tptp.c_Predicate_Oconversep @t38 @t10 (tptp.c_Predicate_Opred__comp @t38 @t150 @t10 @t124 @t2608)) (tptp.c_Predicate_Opred__comp @t10 @t150 @t38 (tptp.c_Predicate_Oconversep @t150 @t10 @t2608) (tptp.c_Predicate_Oconversep @t38 @t150 @t124))))) % 18.94/19.19 (assume @p4714 (forall @t4834 (= (tptp.c_Predicate_Oconversep @t38 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t300) @t124) @t2608)) (tptp.hAPP (tptp.hAPP @t3972 @t5946) @t5945)))) % 18.94/19.19 (assume @p4715 (forall (@list @t97 @t47 @t124 @t38 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t10 @t38 @t4502) @t47) @t97)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3979 @t4240) @t4831))))) % 18.94/19.19 (assume @p4716 (forall (@list @t5880 @t5881 @t5882 @t4187 @t4186 @t10) (= (tptp.c_New__Random__Sequence_Opos__union @t10 @t4186 @t4187 @t5882 @t5881 @t5880) (tptp.c_New__DSequence_Opos__union @t10 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4186 @t5882) @t5881) @t5880) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4187 @t5882) @t5881) @t5880))))) % 18.94/19.19 (assume @p4717 (forall (@list @t1767 @t504) (and (=> @t5953 (= @t5952 @t5954)) (=> (not @t5953) (= @t5952 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t5951 @t1767) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t504 @t5337))))))) % 18.94/19.19 (assume @p4718 (forall (@list @t504) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy tptp.tc_Int_Oint @t504) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t504 (tptp.hAPP @t2184 @t504))))) % 18.94/19.19 (assume @p4719 (forall (@list @t207 @t215) (=> (tptp.hBOOL (tptp.hAPP @t5957 (tptp.hAPP (tptp.hAPP @t3946 @t215) @t207))) (and (=> @t5956 (= @t5955 @t5954)) (=> (not @t5956) (= @t5955 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t5951 @t207) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t215 @t2268)))))))) % 18.94/19.19 (assume @p4720 (forall @t5959 (=> @t1991 (= (tptp.hAPP @t5498 @t5958) (tptp.c_List_Oreplicate @t33 @t2582 @t32))))) % 18.94/19.19 (assume @p4721 (forall (@list @t47 @t831 @t2 @t10 @t38) (= (tptp.hAPP @t5575 (tptp.c_List_Oreplicate @t38 @t831 @t47)) (tptp.c_List_Oreplicate @t10 @t831 @t49)))) % 18.94/19.19 (assume @p4722 (forall @t37 (= (tptp.c_List_Oreplicate @t33 @t1949 @t32) @t5308))) % 18.94/19.19 (assume @p4723 (forall @t5961 (= (= @t5309 @t5960) @t1987))) % 18.94/19.19 (assume @p4724 (forall @t5961 (= (= @t5960 @t5309) @t1987))) % 18.94/19.19 (assume @p4725 (forall (@list @t1767 @t33) (= (tptp.c_List_Oconcat @t33 (tptp.c_List_Oreplicate @t4959 @t1767 @t5308)) @t5308))) % 18.94/19.19 (assume @p4726 (forall (@list @t831 @t10 @t47 @t56) (and (=> @t59 (= @t5962 @t5960)) (=> @t5730 (= @t5962 @t5309))))) % 18.94/19.19 (assume @p4727 (forall (@list @t1791 @t32 @t1536 @t33) (= (tptp.hAPP @t5964 @t5963) (tptp.hAPP (tptp.hAPP @t5392 @t5963) @t5958)))) % 18.94/19.19 (assume @p4728 (forall (@list @t32 @t1537 @t1536 @t33) (= (tptp.c_List_Oreplicate @t33 @t1851 @t32) (tptp.hAPP @t5964 (tptp.c_List_Oreplicate @t33 @t1537 @t32))))) % 18.94/19.19 (assume @p4729 (forall (@list @t32 @t33 @t1536 @t1767) (=> @t5119 (= (tptp.hAPP (tptp.hAPP @t5097 @t5958) @t1767) @t32)))) % 18.94/19.19 (assume @p4730 (forall (@list @t97 @t831 @t47 @t561 @t10) (= (= (tptp.c_List_Oreplicate @t10 @t561 @t47) @t5965) (and @t1825 (=> (not @t1993) @t98))))) % 18.94/19.19 (assume @p4731 (forall @t5967 (= (exists @t7 (and @t5966 @t314)) (and @t2809 @t1988)))) % 18.94/19.19 (assume @p4732 (forall @t5967 (= (forall @t7 (=> @t5966 @t314)) (or @t2809 @t1987)))) % 18.94/19.19 (assume @p4733 (forall (@list @t64 @t1766 @t32 @t1767 @t10 @t33) (= (tptp.hAPP (tptp.hAPP @t5181 @t5969) (tptp.c_List_Oreplicate @t10 @t1766 @t64)) (tptp.c_List_Oreplicate @t5184 (tptp.hAPP @t5968 @t1766) @t4230)))) % 18.94/19.19 (assume @p4734 (forall @t5970 (= (tptp.hAPP @t5460 @t5963) (tptp.c_List_Oreplicate @t33 (tptp.hAPP (tptp.hAPP @t1548 @t1791) @t1767) @t32)))) % 18.94/19.19 (assume @p4735 (forall @t5959 (=> @t1991 (= (tptp.hAPP @t5487 @t5958) @t32)))) % 18.94/19.19 (assume @p4736 (forall @t5970 (= (tptp.hAPP @t5283 @t5963) (tptp.c_List_Oreplicate @t33 (tptp.hAPP @t5968 @t1791) @t32)))) % 18.94/19.19 (assume @p4737 (forall @t5959 (=> @t1991 (= (tptp.c_List_Olast @t33 @t5958) @t32)))) % 18.94/19.19 (assume @p4738 (forall @t5971 (= (tptp.hAPP @t5824 @t5958) @t5958))) % 18.94/19.19 (assume @p4739 (forall @t5971 (= (tptp.c_List_Oreplicate @t33 @t2459 @t32) (tptp.hAPP @t5010 @t5958)))) % 18.94/19.19 (assume @p4740 (forall @t5126 (= (tptp.hAPP @t5964 @t5016) (tptp.hAPP @t5010 (tptp.hAPP @t5964 @t4957))))) % 18.94/19.19 (assume @p4741 (forall (@list @t5972 @t118 @t10 @t38) (= (tptp.hAPP (tptp.hAPP @t5574 (tptp.hAPP @t1160 @t118)) @t5972) (tptp.c_List_Oreplicate @t10 (tptp.hAPP @t5202 @t5972) @t118)))) % 18.94/19.19 (assume @p4742 (forall @t5971 (= (tptp.hAPP @t4960 @t5958) @t1536))) % 18.94/19.19 (assume @p4743 (forall @t5044 (= (tptp.c_List_Oreplicate @t10 (tptp.hAPP @t4945 @t5973) @t47) @t5973))) % 18.94/19.19 (assume @p4744 (forall (@list @t97 @t831 @t47 @t10) (= (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP @t5127 @t5965))) (and @t98 @t1988)))) % 18.94/19.19 (assume @p4745 (forall (@list @t32 @t1767 @t33) (= (tptp.hAPP (tptp.hAPP @t5392 @t5969) @t5333) (tptp.hAPP @t5010 @t5969)))) % 18.94/19.19 (assume @p4746 (forall (@list @t207 @t47 @t10) (= (tptp.hAPP (tptp.hAPP @t5791 (tptp.hAPP (tptp.c_COMBK @t10 tptp.tc_Nat_Onat) @t47)) (tptp.c_List_Oupt @t1949 @t207)) (tptp.c_List_Oreplicate @t10 @t207 @t47)))) % 18.94/19.19 (assume @p4747 (forall @t5976 @t5975)) % 18.94/19.19 (assume @p4748 (forall @t5976 (and (=> @t1987 (= @t5974 @t749)) @t5975))) % 18.94/19.19 (assume @p4749 (forall @t5961 (= (tptp.hAPP @t5127 (tptp.c_List_Oreplicate @t10 @t2478 @t47)) @t873))) % 18.94/19.19 (assume @p4750 (forall @t4185 (=> (tptp.hBOOL (tptp.hAPP @t5957 @t4184)) (=> (forall (@list @t2123 @t452) (=> (tptp.hBOOL (tptp.hAPP @t5957 (tptp.hAPP (tptp.hAPP @t3946 @t2123) @t452))) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2190 @t2123) @t452))) (tptp.hBOOL (tptp.hAPP @t2124 @t5370))) (tptp.hBOOL (tptp.hAPP @t2124 @t452))))) @t4178)))) % 18.94/19.19 (assume @p4751 (forall @t4357 (= (tptp.c_Predicate_Opred__comp @t10 @t10 @t10 tptp.c_fequal (tptp.c_Predicate_Opred__comp @t10 @t10 @t10 @t361 tptp.c_fequal)) @t361))) % 18.94/19.19 (assume @p4752 (forall @t69 (=> @t3233 (=> (forall (@list @t5977) (=> (tptp.hBOOL (tptp.hAPP @t2051 @t5977)) (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t1640 @t5977))))) @t67)))) % 18.94/19.19 (assume @p4753 (forall (@list @t5978 @t81 @t33) (= (tptp.hAPP @t5980 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t33 @t81 @t5978)) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t5980 @t5978)) @t2451)))) % 18.94/19.19 (assume @p4754 (forall (@list @t5981 @t5982 @t32 @t33) (= (tptp.c_Lazy__Sequence_Oappend @t33 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t33 @t32 @t5982) @t5981) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t33 @t32 (tptp.c_Lazy__Sequence_Oappend @t33 @t5982 @t5981))))) % 18.94/19.19 (assume @p4755 (forall (@list @t5983 @t4064 @t5984 @t219 @t10) (= (= @t5985 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t4064 @t5983)) (and @t4065 (= @t5984 @t5983))))) % 18.94/19.19 (assume @p4756 (forall (@list @t5984 @t219 @t1386 @t10) (= (tptp.hAPP @t5986 @t5985) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t5062 (tptp.hAPP @t5986 @t5984))) @t2451)))) % 18.94/19.19 (assume @p4757 (forall (@list @t5650 @t10) (= (tptp.hAPP @t5989 @t5650) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t5994 @t1949 (tptp.hAPP @t5993 (tptp.hAPP (tptp.c_COMBK @t5992 @t10) (tptp.hAPP (tptp.hAPP @t5991 (tptp.hAPP @t5990 @t5989)) @t1599))) @t5988)))) % 18.94/19.19 (assume @p4758 (forall (@list @t5650 @t2608 @t10) (= (tptp.hAPP @t5995 @t5650) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t5994 @t1949 (tptp.hAPP @t5993 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 tptp.tc_Nat_Onat @t5992) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5996 (tptp.tc_fun tptp.tc_Nat_Onat @t5992) @t10) @t5991) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5992 @t5996 @t10) @t5990) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5992 @t5992) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2692 (tptp.tc_fun @t5992 @t5992) @t10) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5910)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2692 @t10) @t1596) @t2608))) @t5995)))) @t1599)) @t5988)))) % 18.94/19.19 (assume @p4759 (forall (@list @t5650 @t1 @t2 @t38 @t10) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t10 @t38 @t2 @t1 @t5650) (tptp.c_Option_Ooption_Ooption__case @t10 (tptp.tc_prod @t38 @t5997) @t2 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t38 @t5997 @t10) @t1) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield @t38) @t5650))))) % 18.94/19.19 (assume @p4760 (forall @t658 (= (tptp.c_Lazy__Sequence_Oyieldn @t10) (tptp.c_Lazy__Sequence_Oanamorph @t5910 @t10 @t5987)))) % 18.94/19.19 (assume @p4761 (forall @t6000 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t10 @t38 @t2780 @t2781 @t5999) @t5998))) % 18.94/19.19 (assume @p4762 (forall @t6002 (=> @t6001 (tptp.c_Relation_Orefl__on @t38 (tptp.hAPP (tptp.hAPP @t295 @t348) @t23) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t4258) @t348) @t124))))) % 18.94/19.19 (assume @p4763 (forall @t5044 (= @t5146 @t6005))) % 18.94/19.19 (assume @p4764 (forall @t5303 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6003 @t5025) @t97)) (or @t98 (tptp.hBOOL (tptp.hAPP @t6004 @t97)))))) % 18.94/19.19 (assume @p4765 (forall @t658 (= @t6003 @t5127))) % 18.94/19.19 (assume @p4766 (forall (@list @t64 @t33) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember @t33) @t5308) @t64))))) % 18.94/19.19 (assume @p4767 (forall @t5158 (= @t6005 @t5146))) % 18.94/19.19 (assume @p4768 (forall (@list @t216 @t219 @t6006 @t1386 @t38 @t10) (= (tptp.c_Nitpick_Opair__box_Opair__box__size @t10 @t38 @t1386 @t6006 @t6007) (tptp.hAPP (tptp.hAPP @t1596 (tptp.hAPP @t5062 (tptp.hAPP @t6006 @t216))) @t2451)))) % 18.94/19.19 (assume @p4769 (forall @t4068 (= (= @t6007 (tptp.c_Nitpick_Opair__box_OPairBox @t10 @t38 @t4064 @t4063)) @t4066))) % 18.94/19.19 (assume @p4770 (forall @t4231 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Nitpick_Opair__box @t33 @t10)) (tptp.c_Nitpick_Opair__box_OPairBox @t33 @t10 @t81 @t85)) @t1949))) % 18.94/19.19 (assume @p4771 (forall @t4075 (= (tptp.c_Nitpick_Opair__box_Opair__box__rec @t38 @t150 @t10 @t2780 @t6008) @t4055))) % 18.94/19.19 (assume @p4772 (forall @t4075 (= (tptp.c_Nitpick_Opair__box_Opair__box__case @t38 @t150 @t10 @t2780 @t6008) @t4055))) % 18.94/19.19 (assume @p4773 (forall (@list @t215 @t10 @t56) (and (=> @t6010 (= @t6009 @t1122)) (=> (not @t6010) (= @t6009 @t215))))) % 18.94/19.19 (assume @p4774 (forall @t3514 (=> @t1568 (=> (tptp.hBOOL (tptp.hAPP @t1317 @t348)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t786 @t348)) @t1313)) (=> (forall (@list @t6012) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t6012) @t348)) (forall (@list @t6011) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t6011) @t348)) (=> (not (= @t6012 @t6011)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t317 @t6012)) (=> (tptp.hBOOL (tptp.hAPP @t317 @t6011)) @t2431)))))))) (= (tptp.hAPP @t1486 @t350) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t25 @t38) @t1486) @t348)))))))) % 18.94/19.19 (assume @p4775 (forall @t1314 (=> (tptp.hBOOL (tptp.hAPP @t5104 @t190)) (exists @t2229 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5695 @t190)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1754 (tptp.hAPP @t4945 @t3)) @t2225)))))))) % 18.94/19.19 (assume @p4776 (forall @t819 (= (tptp.hAPP @t5980 @t6013) @t1949))) % 18.94/19.19 (assume @p4777 (forall @t6016 (not (= @t6013 @t6015)))) % 18.94/19.19 (assume @p4778 (forall @t6016 (not (= @t6015 @t6013)))) % 18.94/19.19 (assume @p4779 (forall (@list @t5981 @t33) (= (tptp.c_Lazy__Sequence_Oappend @t33 @t6013 @t5981) @t5981))) % 18.94/19.19 (assume @p4780 (forall @t5366 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t10 @t38 @t2780 @t2781 @t6017) @t2780))) % 18.94/19.19 (assume @p4781 (forall @t5318 (= (tptp.hAPP @t5986 @t6018) @t1949))) % 18.94/19.19 (assume @p4782 (forall @t6020 (= (tptp.c_List_Olist__all tptp.tc_Int_Oint @t56 @t5212) @t6019))) % 18.94/19.19 (assume @p4783 (forall @t6020 (= (tptp.c_List_Olist__ex tptp.tc_Int_Oint @t56 @t5212) (not (tptp.c_List_Oall__interval__int (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint tptp.c_fNot) @t56) @t207 @t1135))))) % 18.94/19.19 (assume @p4784 (forall @t6020 (= @t6019 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2417 @t2269)) @t314))))) % 18.94/19.19 (assume @p4785 (forall @t4449 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t2780 @t2781 @t4337) (tptp.hAPP @t4448 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t2780 @t2781 @t4336))))) % 18.94/19.19 (assume @p4786 (forall (@list @t5881 @t1 @t10 @t5882) (and (=> @t6031 (= @t6030 @t6032)) (=> (not @t6031) (= @t6030 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t4761 @t6023 @t4761 @t6027) (tptp.hAPP @t1 @t5881)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6029 @t6028 @t6023) (tptp.hAPP (tptp.c_Product__Type_Oscomp @t4761 @t6024 @t4761 @t6027) (tptp.c_Random__Sequence_ORandom @t10 @t1 (tptp.hAPP (tptp.hAPP @t3912 @t5882) @t3911) @t5881))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6025 @t6029 @t6023) (tptp.hAPP (tptp.c_COMBB @t6024 @t6028 @t6024) @t6026)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6024 @t6025 @t6023) (tptp.c_DSequence_Ounion @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t6024 @t6023) @t6022) (tptp.c_Product__Type_Ofst @t10 @t6021))))))))))) % 18.94/19.19 (assume @p4787 (forall @t2782 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t2780 @t2781 @t3897) @t2780))) % 18.94/19.19 (assume @p4788 (forall (@list @t5881 @t5882 @t10) (= (tptp.c_Random__Sequence_Oempty @t10 @t5882 @t5881) @t6032))) % 18.94/19.19 (assume @p4789 (forall (@list @t5881 @t5882 @t47 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6033 @t47) @t5882) @t5881) (tptp.hAPP @t6026 (tptp.hAPP @t6022 @t47))))) % 18.94/19.19 (assume @p4790 (forall @t5919 (= (tptp.c_Random__Sequence_Omap @t38 @t10 @t2 @t56) (tptp.c_Random__Sequence_Obind @t38 @t10 @t56 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6028)) @t38 @t6033) @t2))))) % 18.94/19.19 (assume @p4791 (forall (@list @t150 @t2 @t53 @t1504 @t10 @t38 @t56) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t56 @t4197) (tptp.hAPP @t4241 @t1504))) (=> (forall @t1131 (=> (tptp.hBOOL (tptp.hAPP @t197 @t3)) (tptp.hBOOL (tptp.hAPP @t53 @t1418)))) (tptp.hBOOL (tptp.hAPP @t53 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t38 @t10 @t150) @t2) @t1504))))))) % 18.94/19.19 (assume @p4792 (forall (@list @t23 @t56 @t10 @t38) (= (tptp.hAPP (tptp.c_Relation_OImage @t38 @t10 @t4555) @t23) (tptp.hAPP @t2805 (tptp.hAPP @t4554 (tptp.hAPP (tptp.hAPP @t724 @t6034) @t4552)))))) % 18.94/19.19 (assume @p4793 (forall @t4811 (=> @t5005 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5096 @t513)) @t5002)) (=> @t6035 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4954 (tptp.hAPP @t5003 @t513)) @t5002))))))) % 18.94/19.19 (assume @p4794 (tptp.c_Relation_Otrans tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 18.94/19.19 (assume @p4795 (forall (@list @t4187 @t38 @t4186 @t10) (=> (tptp.c_Relation_Otrans @t10 @t4186) (=> (tptp.c_Relation_Otrans @t38 @t4187) (tptp.c_Relation_Otrans @t1321 (tptp.c_Wellfounded_Olex__prod @t10 @t38 @t4186 @t4187)))))) % 18.94/19.19 (assume @p4796 (forall (@list @t220 @t216 @t219 @t124 @t10) (=> @t6035 (=> @t4279 (=> @t4781 (tptp.hBOOL (tptp.hAPP @t4775 @t124))))))) % 18.94/19.19 (assume @p4797 (forall @t3489 (= @t6035 (forall @t1131 (=> @t4320 (forall @t2861 (=> @t6036 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP @t4112 @t2859)) @t124))))))))) % 18.94/19.19 (assume @p4798 (forall @t356 (= @t316 (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t6037)))) % 18.94/19.19 (assume @p4799 (forall @t51 (= @t240 (tptp.hAPP @t2805 (tptp.hAPP (tptp.hAPP @t4729 @t2910) (tptp.hAPP (tptp.hAPP @t4728 (tptp.hAPP @t2906 (tptp.hAPP @t2903 @t4727))) @t210)))))) % 18.94/19.19 (assume @p4800 (forall @t4513 (=> @t6035 (tptp.c_Relation_Otrans @t38 @t4511)))) % 18.94/19.19 (assume @p4801 (forall @t3489 (=> @t6035 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 (tptp.hAPP @t4794 @t124)) @t124))))) % 18.94/19.19 (assume @p4802 (forall @t658 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 tptp.tc_HOL_Obool) (tptp.c_Set_OBex @t10)))) % 18.94/19.19 (assume @p4803 (forall @t4418 (=> @t6035 (=> (tptp.c_Relation_Otrans @t10 @t2608) (tptp.c_Relation_Otrans @t10 @t4699))))) % 18.94/19.19 (assume @p4804 (forall @t172 (= (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t317 @t600)) @t314)) @t174))) % 18.94/19.19 (assume @p4805 (forall @t3489 (tptp.c_Relation_Otrans @t10 @t4784))) % 18.94/19.19 (assume @p4806 (forall @t3489 (=> @t6035 (tptp.c_Relation_Otrans @t4536 @t5002)))) % 18.94/19.19 (assume @p4807 (forall @t658 (tptp.c_Relation_Otrans @t25 @t4306))) % 18.94/19.19 (assume @p4808 (forall @t51 (tptp.c_Relation_Otrans @t10 @t4428))) % 18.94/19.19 (assume @p4809 (forall @t3489 (=> @t6035 (= @t4766 @t124)))) % 18.94/19.19 (assume @p4810 (forall @t3489 (tptp.c_Relation_Otrans @t10 @t4766))) % 18.94/19.19 (assume @p4811 (forall @t658 (tptp.c_Relation_Otrans @t10 @t4789))) % 18.94/19.19 (assume @p4812 (forall @t3489 (= (tptp.c_Relation_Otrans @t10 @t4821) @t6035))) % 18.94/19.19 (assume @p4813 (forall @t3489 (=> @t6035 (tptp.c_Relation_Otrans @t4536 @t5065)))) % 18.94/19.19 (assume @p4814 (forall @t172 (not (exists @t7 (and @t4717 @t314))))) % 18.94/19.19 (assume @p4815 (forall (@list @t53 @t38 @t23 @t10) (=> @t1292 (= (tptp.hBOOL (tptp.hAPP @t1307 (tptp.hAPP @t2830 (tptp.hAPP @t2896 (tptp.hAPP (tptp.hAPP @t344 @t1175) @t53))))) (forall @t7 (=> @t326 (tptp.hBOOL (tptp.hAPP @t1307 (tptp.hAPP @t2830 (tptp.hAPP @t2899 @t3)))))))))) % 18.94/19.19 (assume @p4816 (forall @t3489 (=> @t6035 (tptp.c_Relation_Otrans @t10 @t4790)))) % 18.94/19.19 (assume @p4817 (forall @t5166 (= @t5890 @t5887))) % 18.94/19.19 (assume @p4818 (forall @t356 (= @t292 (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t6037)))) % 18.94/19.19 (assume @p4819 (forall @t391 (=> @t157 (= (tptp.hAPP (tptp.c_Complete__Lattice_OSup__class_OSup @t161 @t23) @t47) (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t6040))))) % 18.94/19.19 (assume @p4820 (forall @t391 (=> @t157 (= (tptp.hAPP (tptp.c_Complete__Lattice_OInf__class_OInf @t161 @t23) @t47) (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t6040))))) % 18.94/19.19 (assume @p4821 (forall @t4544 (=> @t4543 (=> @t4542 (=> @t4541 (=> (forall @t7 (=> @t4540 (exists @t312 (and @t4539 @t4504)))) (tptp.c_Wellfounded_Omax__extp @t10 @t361 @t271 @t743))))))) % 18.94/19.19 (assume @p4822 (forall @t3489 (= @t6041 (tptp.c_Relation_Otrans @t10 @t4695)))) % 18.94/19.19 (assume @p4823 (forall @t4850 (=> @t6041 (=> @t5077 (=> (tptp.hBOOL (tptp.hAPP @t6042 @t513)) (tptp.hBOOL (tptp.hAPP @t4703 @t513))))))) % 18.94/19.19 (assume @p4824 (forall @t4357 (=> @t4356 (not (=> @t6046 @t6045))))) % 18.94/19.19 (assume @p4825 (forall @t4357 (=> @t6046 (=> @t6044 (=> @t6043 @t4356))))) % 18.94/19.19 (assume @p4826 (forall @t4791 (=> @t6047 (=> @t5077 (tptp.hBOOL (tptp.hAPP @t6042 @t47)))))) % 18.94/19.19 (assume @p4827 (forall @t4357 (= @t4356 (and @t6046 @t6044 @t6043)))) % 18.94/19.19 (assume @p4828 (forall @t3489 (=> @t6035 (=> @t6048 (tptp.c_Relation_Otrans @t10 @t4808))))) % 18.94/19.19 (assume @p4829 (forall @t658 (tptp.c_Relation_Oantisym @t10 @t3538))) % 18.94/19.19 (assume @p4830 (forall @t3489 (= (tptp.c_Relation_Oantisym @t10 @t4821) @t6048))) % 18.94/19.19 (assume @p4831 (forall @t658 (tptp.c_Relation_Oantisym @t10 @t4789))) % 18.94/19.19 (assume @p4832 (forall @t51 (tptp.c_Relation_Oantisym @t10 @t4428))) % 18.94/19.19 (assume @p4833 (forall @t4418 (=> @t4417 (=> (tptp.c_Relation_Oantisym @t10 @t2608) @t6048)))) % 18.94/19.19 (assume @p4834 (forall @t3489 (= @t6048 (forall @t1131 (=> @t4320 (=> @t4922 @t2436)))))) % 18.94/19.19 (assume @p4835 (forall @t6050 (=> @t6048 (=> @t4279 (=> @t6049 @t330))))) % 18.94/19.19 (assume @p4836 (forall @t3489 (= (tptp.c_Relation_Oantisym @t10 @t4790) @t6048))) % 18.94/19.19 (assume @p4837 (forall @t3489 (=> @t4704 (tptp.c_Relation_Oantisym @t10 @t4784)))) % 18.94/19.19 (assume @p4838 (forall (@list @t47 @t23 @t6053 @t150 @t10 @t38) (= (tptp.c_Partial__Function_Ofun__lub @t38 @t10 @t150 @t6053 @t23 @t47) (tptp.hAPP @t6053 (tptp.hAPP @t2830 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6051 tptp.tc_HOL_Obool @t38) (tptp.c_HOL_OEx @t1091)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6051 @t6051 @t38) (tptp.hAPP (tptp.c_COMBS @t1091 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1170 @t1091) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1091 @t6051 tptp.tc_HOL_Obool) (tptp.c_member @t1091)) @t23)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t38 @t6052 @t6051) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 (tptp.tc_fun @t6052 @t6051) @t38) (tptp.c_COMBB @t38 tptp.tc_HOL_Obool @t1091)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1091 @t150 @t38) (tptp.c_COMBI @t1091)) @t47))))))))) % 18.94/19.19 (assume @p4839 (forall @t3489 (=> @t6054 (=> @t6035 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3537 @t4838) @t124)))))) % 18.94/19.19 (assume @p4840 (forall @t6050 (=> @t6054 (=> @t4279 @t6049)))) % 18.94/19.19 (assume @p4841 (forall @t3489 (= @t6054 (forall @t1131 (=> @t4320 @t4922))))) % 18.94/19.19 (assume @p4842 (forall @t4513 (=> @t6054 (tptp.c_Relation_Osym @t38 @t4511)))) % 18.94/19.19 (assume @p4843 (forall @t3489 (tptp.c_Relation_Osym @t10 (tptp.hAPP @t4523 @t4821)))) % 18.94/19.19 (assume @p4844 (forall @t4418 (=> @t6054 (=> @t6055 (tptp.c_Relation_Osym @t10 @t4699))))) % 18.94/19.19 (assume @p4845 (forall @t3489 (=> @t6054 (tptp.c_Relation_Osym @t10 @t4784)))) % 18.94/19.19 (assume @p4846 (forall @t51 (tptp.c_Relation_Osym @t10 @t4428))) % 18.94/19.19 (assume @p4847 (forall @t3489 (=> @t6054 (tptp.c_Relation_Osym @t10 @t4766)))) % 18.94/19.19 (assume @p4848 (forall @t4418 (=> @t6054 (=> @t6055 (tptp.c_Relation_Osym @t10 @t4421))))) % 18.94/19.19 (assume @p4849 (forall @t658 (tptp.c_Relation_Osym @t10 @t4789))) % 18.94/19.19 (assume @p4850 (forall @t3489 (= @t6054 (= @t4821 @t124)))) % 18.94/19.19 (assume @p4851 (forall @t3489 (= (tptp.c_Relation_Osym @t10 @t4821) @t6054))) % 18.94/19.19 (assume @p4852 (forall @t3489 (=> @t6054 (tptp.c_Relation_Osym @t4536 @t5065)))) % 18.94/19.19 (assume @p4853 (forall @t3489 (tptp.c_Relation_Osym @t10 (tptp.hAPP @t4420 @t4821)))) % 18.94/19.19 (assume @p4854 (forall @t3483 (= @t4282 (and @t4694 @t6054 @t6035)))) % 18.94/19.19 (assume @p4855 (forall @t3483 (=> @t4694 (=> @t6054 (=> @t6035 @t4282))))) % 18.94/19.19 (assume @p4856 (forall @t3483 (=> @t4282 (not (=> @t4694 (=> @t6054 (not @t6035))))))) % 18.94/19.19 (assume @p4857 (forall @t3489 (= @t6047 (tptp.c_Relation_Osym @t10 @t4695)))) % 18.94/19.19 (assume @p4858 (forall (@list @t10 @t361) (=> @t6058 (=> @t6044 (=> @t6043 @t6056))))) % 18.94/19.19 (assume @p4859 (forall @t4357 (= @t6056 (and @t6058 @t6044 @t6043)))) % 18.94/19.19 (assume @p4860 (forall @t4362 (=> @t6056 @t4361))) % 18.94/19.19 (assume @p4861 (forall @t1201 (=> @t6056 @t4360))) % 18.94/19.19 (assume @p4862 (forall @t4357 (= @t6056 (and @t6058 (forall @t1131 (= @t4355 (and @t6057 (tptp.hBOOL (tptp.hAPP @t4352 @t195)) @t4354))))))) % 18.94/19.19 (assume @p4863 (forall @t4357 (=> @t4356 @t6056))) % 18.94/19.19 (assume @p4864 (forall @t4357 (=> @t6056 (not (=> @t6058 @t6045))))) % 18.94/19.19 (assume @p4865 (forall @t4357 (=> @t6056 (exists @t2127 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t273 @t2123) (tptp.hAPP (tptp.hAPP @t2901 @t2889) (tptp.hAPP (tptp.hAPP @t2862 (tptp.hAPP @t1174 (tptp.hAPP @t1172 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 tptp.tc_HOL_Obool) @t361) @t744)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t25 @t2878 @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t109 (tptp.tc_fun @t2878 @t25) @t25) @t1079) tptp.c_fequal)) @t361))))))))) % 18.94/19.19 (assume @p4866 (forall (@list @t1 @t23 @t38 @t178 @t10 @t150) (=> @t3039 (=> (tptp.hBOOL (tptp.hAPP @t1291 @t178)) (=> (forall @t7 (=> @t1316 @t1315)) (=> (forall @t7 (=> @t1316 (forall @t312 (=> (tptp.hBOOL (tptp.hAPP @t311 @t178)) (=> @t764 (= (tptp.hAPP (tptp.hAPP @t649 @t177) (tptp.hAPP @t23 @t309)) @t758)))))) (= (tptp.hAPP @t6059 @t568) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1452 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 @t150 @t10) @t6059) @t23)) @t4661) @t178)))))))) % 18.94/19.19 (assume @p4867 (forall @t4710 (=> @t5623 (not (forall @t7 (not (= @t97 @t6060))))))) % 18.94/19.19 (assume @p4868 (forall @t4709 (=> @t5623 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t56 @t6060))) @t4706)))) % 18.94/19.19 (assume @p4869 (forall @t2672 (not (forall @t199 (=> (= @t47 @t6062) (not @t6061)))))) % 18.94/19.19 (assume @p4870 (forall @t4715 (=> (forall @t199 (=> @t6061 (tptp.hBOOL (tptp.hAPP @t56 @t6062)))) @t59))) % 18.94/19.19 (assume @p4871 (forall @t5366 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t10 @t38 @t2780 @t2781 @t6017) @t2780))) % 18.94/19.19 (assume @p4872 (forall @t6000 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t10 @t38 @t2780 @t2781 @t5999) (tptp.hAPP @t5998 (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t10 @t38 @t2780 @t2781 @t5984))))) % 18.94/19.19 (assume @p4873 (forall (@list @t561 @t53 @t831 @t56) (=> @t2509 (=> (tptp.hBOOL (tptp.hAPP @t53 @t561)) (=> @t2132 (=> (forall @t1885 (= (tptp.hBOOL (tptp.hAPP @t56 @t4739)) (tptp.hBOOL (tptp.hAPP @t53 @t1883)))) (= @t2508 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat @t53))))))))) % 18.94/19.19 (assume @p4874 (forall @t3448 (and (=> @t4757 (= @t6063 @t1868)) (=> @t4758 (= @t6063 @t3897))))) % 18.94/19.19 (assume @p4875 (forall @t2238 (= (tptp.c_Quickcheck_Obeyond @t1791 @t3897) @t3897))) % 18.94/19.19 (assume @p4876 (forall (@list @t97 @t47 @t220 @t10 @t150 @t38) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t38 @t150 @t10 @t220) @t47) @t97) (tptp.hAPP @t220 @t3997)))) % 18.94/19.19 (assume @p4877 (forall @t6002 (=> @t6001 (tptp.c_Relation_Orefl__on @t38 (tptp.hAPP (tptp.hAPP @t279 @t348) @t23) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t4258) @t348) @t124))))) % 18.94/19.19 (assume @p4878 (forall (@list @t216 @t219 @t38 @t10 @t2) (=> @t6065 @t6064))) % 18.94/19.19 (assume @p4879 (forall @t4077 (= (tptp.c_Product__Type_Ocurry @t10 @t38 @t150 @t4029) @t2))) % 18.94/19.19 (assume @p4880 (forall @t4077 (= (tptp.hAPP @t4028 (tptp.c_Product__Type_Ocurry @t10 @t38 @t150 @t2)) @t2))) % 18.94/19.19 (assume @p4881 (forall @t4074 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t38 @t150 @t10 @t2) @t219) @t216) (tptp.hAPP @t2 @t4050)))) % 18.94/19.19 (assume @p4882 (forall @t4076 (=> @t6064 @t6065))) % 18.94/19.19 (assume @p4883 (forall (@list @t56 @t361 @t10) (=> @t4356 (= @t6067 @t174)))) % 18.94/19.19 (assume @p4884 (forall (@list @t124 @t2 @t10) (=> @t4822 (=> @t4767 (exists @t456 (forall @t1885 (= (tptp.hAPP @t2 (tptp.hAPP @t2776 @t1883)) @t2600))))))) % 18.94/19.19 (assume @p4885 (forall @t4738 (= (tptp.hBOOL (tptp.hAPP @t334 @t6066)) @t4358))) % 18.94/19.19 (assume @p4886 (forall @t4359 (= (tptp.hBOOL (tptp.hAPP @t6066 @t47)) @t4358))) % 18.94/19.19 (assume @p4887 (forall (@list @t56 @t53 @t361 @t10) (=> @t4356 (=> (forall @t7 (=> @t4926 @t314)) (=> (exists @t170 (tptp.hBOOL (tptp.hAPP @t53 @t168))) @t6067))))) % 18.94/19.19 (assume @p4888 (forall (@list @t56 @t38 @t361 @t10) (=> @t4356 (= (tptp.c_Quotient_OBabs @t10 @t38 @t6066 @t56) @t56)))) % 18.94/19.19 (assume @p4889 (forall (@list @t561 @t38 @t1504 @t47 @t10) (=> (tptp.hBOOL (tptp.hAPP @t334 @t1504)) (= (tptp.hAPP (tptp.c_Quotient_OBabs @t10 @t38 @t1504 @t561) @t47) (tptp.hAPP @t561 @t47))))) % 18.94/19.19 (assume @p4890 (forall (@list @t124 @t6069 @t6070 @t6073 @t4430 @t38 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4345 (tptp.hAPP @t6075 @t6071)) @t6068)) (=> (not (= @t6074 @t6071)) (not (forall @t4070 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4345 (tptp.hAPP @t6075 @t4069)) @t124)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4345 (tptp.hAPP @t6072 @t6071)) @t6068)))))))))) % 18.94/19.19 (assume @p4891 (forall @t6090 (=> @t6089 (=> @t6087 (=> (forall (@list @t1294 @t1217 @t6080 @t6079) (=> @t6086 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4345 (tptp.hAPP (tptp.hAPP @t4344 @t6085) @t6084)) @t6068)) (=> @t6081 @t4180)))) @t6078))))) % 18.94/19.19 (assume @p4892 (forall @t6090 (=> @t6089 (=> @t6078 (=> (forall @t4070 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4345 (tptp.hAPP @t6088 @t4069)) @t6068)) (forall (@list @t6080 @t6079) (=> @t6086 (=> @t4180 @t6081))))) @t6087))))) % 18.94/19.19 (assume @p4893 (forall (@list @t150 @t2 @t4296 @t38 @t4299 @t10) (=> (forall (@list @t6094 @t6092) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4111 @t6094) @t6092)) @t4299)) (forall (@list @t6093 @t6091) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4253 @t6093) @t6091)) @t4296)) (= (tptp.hAPP (tptp.hAPP @t2 @t6094) @t6093) (tptp.hAPP (tptp.hAPP @t2 @t6092) @t6091)))))) @t4311))) % 18.94/19.19 (assume @p4894 (forall (@list @t38 @t2 @t124 @t10) (=> (forall (@list @t195 @t2859) (=> @t6036 (= @t1106 (tptp.hAPP @t2 @t2859)))) @t4318))) % 18.94/19.19 (assume @p4895 (forall (@list @t6095 @t5982 @t33) (= (tptp.c_Lazy__Sequence_Oflat @t33 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t5979 @t5982 @t6095)) (tptp.c_Lazy__Sequence_Oappend @t33 @t5982 (tptp.c_Lazy__Sequence_Oflat @t33 @t6095))))) % 18.94/19.19 (assume @p4896 (forall @t819 (= (tptp.c_Lazy__Sequence_Oflat @t33 (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t5979)) @t6013))) % 18.94/19.19 (assume @p4897 (forall (@list @t2 @t5650 @t10 @t38) (= (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t38 @t10 @t5650) @t2) (tptp.c_Lazy__Sequence_Oflat @t10 (tptp.c_Lazy__Sequence_Omap @t38 @t5910 @t2 @t5650))))) % 18.94/19.19 (assume @p4898 (forall @t6020 (= @t6096 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1616 @t1647)) @t314))))) % 18.94/19.19 (assume @p4899 (forall (@list @t5650 @t47 @t2 @t10 @t38) (= (tptp.c_Lazy__Sequence_Omap @t38 @t10 @t2 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t38 @t47 @t5650)) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t49 (tptp.c_Lazy__Sequence_Omap @t38 @t10 @t2 @t5650))))) % 18.94/19.19 (assume @p4900 (forall @t761 (= (tptp.c_Lazy__Sequence_Omap @t38 @t10 @t2 @t6017) @t6018))) % 18.94/19.19 (assume @p4901 (forall @t6020 (= (tptp.c_List_Olist__all tptp.tc_Nat_Onat @t56 @t5774) @t6096))) % 18.94/19.19 (assume @p4902 (forall @t6020 (= (tptp.c_List_Olist__ex tptp.tc_Nat_Onat @t56 @t5774) (not (tptp.c_List_Oall__interval__nat (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat tptp.c_fNot) @t56) @t207 @t1135))))) % 18.94/19.19 (assume @p4903 (forall (@list @t207 @t5650 @t2 @t10 @t38) (= (tptp.c_New__DSequence_Opos__map @t38 @t10 @t2 @t5650 @t207) (tptp.c_Lazy__Sequence_Omap @t38 @t10 @t2 @t5944)))) % 18.94/19.19 (assume @p4904 (forall @t1397 (=> @t1373 (=> @t1342 (=> (forall @t7 (=> @t194 @t3539)) (= @t1393 @t1392)))))) % 18.94/19.19 (assume @p4905 (forall @t3188 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6097 @t3187) @t3186)) (=> (tptp.hBOOL (tptp.hAPP @t3389 @t1767)) @t1854)))) % 18.94/19.19 (assume @p4906 (forall @t1061 (=> @t1292 (=> @t756 (exists @t170 (tptp.hBOOL (tptp.hAPP @t1275 @t168))))))) % 18.94/19.19 (assume @p4907 (forall @t2700 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6097 @t32) @t32)))) % 18.94/19.19 (assume @p4908 (forall @t424 (=> @t1582 (tptp.hBOOL (tptp.hAPP @t6099 @t1955))))) % 18.94/19.19 (assume @p4909 (forall @t2238 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6097 @t2451) @t1791)))) % 18.94/19.19 (assume @p4910 (forall (@list @t395 @t56 @t10) (=> (and @t6102 @t1527) (= (exists @t7 (tptp.hBOOL (tptp.hAPP @t56 (tptp.hAPP (tptp.hAPP @t1212 @t395) @t3)))) (exists @t7 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6101 @t395) (tptp.hAPP @t6100 @t1939))) @t314)))))) % 18.94/19.19 (assume @p4911 (forall @t411 (=> @t3297 (=> @t6105 (= (tptp.hAPP @t1240 @t6104) @t85))))) % 18.94/19.19 (assume @p4912 (forall @t2025 (=> @t3297 (=> (tptp.hBOOL (tptp.hAPP @t6106 @t85)) (= (tptp.hAPP @t1240 (tptp.hAPP @t6103 @t82)) (tptp.hAPP @t3319 @t82)))))) % 18.94/19.19 (assume @p4913 (forall @t411 (=> @t3297 (=> @t6105 (= (tptp.hAPP @t6107 @t81) @t85))))) % 18.94/19.19 (assume @p4914 (forall @t94 (=> @t3297 (=> @t6105 (= (tptp.hAPP @t6107 @t82) (tptp.hAPP (tptp.hAPP @t3296 @t1247) @t81)))))) % 18.94/19.19 (assume @p4915 (forall (@list @t2278 @t70 @t32 @t64 @t33) (=> @t3297 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6098 @t64) @t32)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6098 @t70) @t2278)) (= (tptp.hAPP (tptp.hAPP @t1239 (tptp.hAPP (tptp.hAPP @t3296 @t32) @t64)) (tptp.hAPP (tptp.hAPP @t3296 @t2278) @t70)) (tptp.hAPP (tptp.hAPP @t3296 (tptp.hAPP @t1243 @t2278)) @t3276))))))) % 18.94/19.19 (assume @p4916 (forall @t1691 (=> @t1285 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6101 @t2075) @t2074)) @t6109)))) % 18.94/19.19 (assume @p4917 (forall @t1693 (=> @t1285 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6101 @t1637) @t1635)) @t6109)))) % 18.94/19.19 (assume @p4918 (forall @t94 (=> @t1582 (=> @t6111 (tptp.hBOOL (tptp.hAPP @t6110 @t82)))))) % 18.94/19.19 (assume @p4919 (forall @t94 (=> @t1582 (=> @t6111 @t6112)))) % 18.94/19.19 (assume @p4920 (forall (@list @t1791 @t85 @t81 @t33) (=> (tptp.class_Rings_Odvd @t33) (=> (= @t81 (tptp.hAPP @t1246 @t1791)) (tptp.hBOOL (tptp.hAPP @t6110 @t81)))))) % 18.94/19.19 (assume @p4921 (forall @t1679 (=> @t1582 (=> @t6105 (=> (tptp.hBOOL (tptp.hAPP @t6106 @t504)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6098 @t1633) @t2032))))))) % 18.94/19.19 (assume @p4922 (forall @t1686 (=> @t1582 (=> @t6112 @t6113)))) % 18.94/19.19 (assume @p4923 (forall @t94 (=> @t1582 (=> @t6105 @t6113)))) % 18.94/19.19 (assume @p4924 (forall @t411 (=> @t1582 (tptp.hBOOL (tptp.hAPP @t6099 @t1727))))) % 18.94/19.19 (assume @p4925 (forall @t411 (=> @t1582 (tptp.hBOOL (tptp.hAPP @t6099 @t1245))))) % 18.94/19.19 (assume @p4926 (forall @t1841 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6097 @t2000) @t1999)) (or @t1997 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6097 @t561) @t831)))))) % 18.94/19.19 (assume @p4927 (forall (@list @t909 @t523 @t215 @t10) (=> (and (tptp.class_Rings_Ocomm__ring @t10) @t6102) (=> (tptp.hBOOL (tptp.hAPP @t6114 @t523)) (forall @t2418 (= (tptp.hBOOL (tptp.hAPP @t6114 (tptp.hAPP @t6100 @t909))) (tptp.hBOOL (tptp.hAPP @t6114 (tptp.hAPP (tptp.hAPP @t1594 (tptp.hAPP (tptp.hAPP @t865 @t3) (tptp.hAPP (tptp.hAPP @t1212 @t1883) @t523))) @t909))))))))) % 18.94/19.19 (assume @p4928 (forall (@list @t215 @t216 @t220 @t219 @t10) (=> @t6117 (=> @t2750 (=> @t3142 (=> @t6108 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6101 @t220) @t215)) (= (= @t6116 (tptp.hAPP (tptp.hAPP @t6115 @t215) @t220)) (= @t1635 @t1636))))))))) % 18.94/19.19 (assume @p4929 (forall @t936 (=> @t6117 (=> @t2750 (=> @t6108 (= (= @t6116 @t220) (= @t216 @t2075))))))) % 18.94/19.19 (assume @p4930 (forall (@list @t220 @t216 @t219) (= (= @t6118 (tptp.hAPP (tptp.hAPP @t2007 @t220) @t1816)) @t935))) % 18.94/19.19 (assume @p4931 (forall (@list @t219) (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t6097 @t219 @t219) @t6119))) % 18.94/19.19 (assume @p4932 (forall @t3326 (=> @t330 (= @t6118 @t6119)))) % 18.94/19.19 (assume @p4933 (forall @t6124 (=> @t6123 @t6122))) % 18.94/19.19 (assume @p4934 (forall @t3309 (=> @t6126 @t6125))) % 18.94/19.19 (assume @p4935 (forall @t6124 (=> @t6123 (= (tptp.c_SetInterval_Oord_OgreaterThanLessThan tptp.tc_Nat_Onat @t6120 @t118 @t395) @t1816)))) % 18.94/19.19 (assume @p4936 (forall @t2241 (= @t6122 @t6127))) % 18.94/19.19 (assume @p4937 (forall @t3326 (= @t6125 (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6097 @t219) @t216)) (not @t6126)))))) % 18.94/19.19 (assume @p4938 (forall @t2241 (= (= @t1816 @t6121) @t6127))) % 18.94/19.19 (assume @p4939 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p4940 (forall @t6132 (=> @t6131 (tptp.class_Lattices_Obounded__lattice @t6130)))) % 18.94/19.19 (assume @p4941 (forall @t6132 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6128) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6130)))) % 18.94/19.19 (assume @p4942 (forall @t6132 (=> @t6131 (tptp.class_Lattices_Obounded__lattice__top @t6130)))) % 18.94/19.19 (assume @p4943 (forall @t6132 (=> @t6131 (tptp.class_Lattices_Obounded__lattice__bot @t6130)))) % 18.94/19.19 (assume @p4944 (forall @t6132 (=> @t6133 (tptp.class_Lattices_Osemilattice__sup @t6130)))) % 18.94/19.19 (assume @p4945 (forall @t6132 (=> @t6133 (tptp.class_Lattices_Osemilattice__inf @t6130)))) % 18.94/19.19 (assume @p4946 (forall @t6132 (=> (tptp.class_Lattices_Odistrib__lattice @t6128) (tptp.class_Lattices_Odistrib__lattice @t6130)))) % 18.94/19.19 (assume @p4947 (forall @t6132 (=> (tptp.class_Lattices_Oboolean__algebra @t6128) (tptp.class_Lattices_Oboolean__algebra @t6130)))) % 18.94/19.19 (assume @p4948 (forall @t6132 (=> (tptp.class_Orderings_Opreorder @t6128) (tptp.class_Orderings_Opreorder @t6130)))) % 18.94/19.19 (assume @p4949 (forall @t6136 (=> @t6135 (tptp.class_Finite__Set_Ofinite @t6130)))) % 18.94/19.19 (assume @p4950 (forall @t6132 (=> @t6133 (tptp.class_Lattices_Olattice @t6130)))) % 18.94/19.19 (assume @p4951 (forall @t6132 (=> (tptp.class_Orderings_Oorder @t6128) (tptp.class_Orderings_Oorder @t6130)))) % 18.94/19.19 (assume @p4952 (forall @t6132 (=> (tptp.class_Orderings_Otop @t6128) (tptp.class_Orderings_Otop @t6130)))) % 18.94/19.19 (assume @p4953 (forall @t6132 (=> (tptp.class_Orderings_Oord @t6128) (tptp.class_Orderings_Oord @t6130)))) % 18.94/19.19 (assume @p4954 (forall @t6132 (=> (tptp.class_Orderings_Obot @t6128) (tptp.class_Orderings_Obot @t6130)))) % 18.94/19.19 (assume @p4955 (forall @t6132 (=> (tptp.class_Groups_Ouminus @t6128) (tptp.class_Groups_Ouminus @t6130)))) % 18.94/19.19 (assume @p4956 (forall @t6132 (=> (tptp.class_Groups_Ominus @t6128) (tptp.class_Groups_Ominus @t6130)))) % 18.94/19.19 (assume @p4957 (forall @t6136 (=> @t6138 (tptp.class_Enum_Oenum @t6130)))) % 18.94/19.19 (assume @p4958 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4959 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4960 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4961 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4962 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4963 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4964 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4965 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4966 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4967 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4968 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4969 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4970 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4971 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4972 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4973 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4974 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4975 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4976 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4977 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4978 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4979 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4980 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4981 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4982 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4983 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4984 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4985 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4986 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4987 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4988 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4989 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4990 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4991 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4992 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4993 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4994 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4995 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4996 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4997 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4998 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p4999 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5000 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5001 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5002 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5003 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5004 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5005 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5006 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5007 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5008 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5009 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5010 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5011 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5012 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5013 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5014 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5015 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5016 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5017 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5018 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5019 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5020 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5021 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5022 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5023 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5024 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5025 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5026 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5027 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5028 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5029 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 18.94/19.19 (assume @p5030 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5031 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5032 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5033 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5034 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5035 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5036 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5037 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5038 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5039 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5040 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5041 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5042 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5043 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5044 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5045 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5046 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5047 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5048 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5049 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5050 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5051 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5052 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5053 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5054 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5055 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5056 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5057 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5058 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5059 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5060 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5061 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5062 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5063 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5064 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5065 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5066 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5067 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5068 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5069 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5070 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5071 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5072 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5073 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5074 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5075 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5076 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5077 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5078 (tptp.class_Nat_Osize tptp.tc_Nat_Onat)) % 18.94/19.19 (assume @p5079 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5080 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5081 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5082 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5083 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5084 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5085 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5086 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5087 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5088 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5089 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5090 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5091 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5092 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5093 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5094 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5095 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5096 (tptp.class_Nat_Osize tptp.tc_HOL_Obool)) % 18.94/19.19 (assume @p5097 (forall @t6141 (=> @t6140 (tptp.class_Lazy__Sequence_Osmall__lazy @t6139)))) % 18.94/19.19 (assume @p5098 (forall @t6141 (tptp.class_Nat_Osize @t6139))) % 18.94/19.19 (assume @p5099 (forall @t6136 (=> @t6135 (tptp.class_Finite__Set_Ofinite @t6142)))) % 18.94/19.19 (assume @p5100 (forall @t6136 (=> @t6138 (tptp.class_Enum_Oenum @t6142)))) % 18.94/19.19 (assume @p5101 (forall @t6136 (tptp.class_Nat_Osize @t6142))) % 18.94/19.19 (assume @p5102 (forall @t6141 (=> @t6134 (tptp.class_Finite__Set_Ofinite @t6143)))) % 18.94/19.19 (assume @p5103 (forall @t6141 (=> @t6137 (tptp.class_Enum_Oenum @t6143)))) % 18.94/19.19 (assume @p5104 (forall @t6141 (tptp.class_Nat_Osize @t6143))) % 18.94/19.19 (assume @p5105 (forall @t6136 (tptp.class_Nat_Osize (tptp.tc_Nitpick_Opair__box @t6129 @t6128)))) % 18.94/19.19 (assume @p5106 (forall @t6136 (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t6129) @t6140) (tptp.class_Lazy__Sequence_Osmall__lazy @t6144)))) % 18.94/19.19 (assume @p5107 (forall @t6136 (=> @t6135 (tptp.class_Finite__Set_Ofinite @t6144)))) % 18.94/19.19 (assume @p5108 (forall @t6136 (=> @t6138 (tptp.class_Enum_Oenum @t6144)))) % 18.94/19.19 (assume @p5109 (forall @t6136 (tptp.class_Nat_Osize @t6144))) % 18.94/19.19 (assume @p5110 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Product__Type_Ounit)) % 18.94/19.19 (assume @p5111 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 18.94/19.19 (assume @p5112 (tptp.class_Enum_Oenum tptp.tc_Product__Type_Ounit)) % 18.94/19.19 (assume @p5113 (tptp.class_Nat_Osize tptp.tc_Product__Type_Ounit)) % 18.94/19.19 (assume @p5114 (tptp.class_Nat_Osize tptp.tc_Code__Evaluation_Oterm)) % 18.94/19.19 (assume @p5115 (forall @t6141 (tptp.class_Nat_Osize (tptp.tc_Hoare__Mirabelle_Otriple @t6128)))) % 18.94/19.19 (assume @p5116 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5117 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5118 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5119 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5120 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5121 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5122 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5123 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5124 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5125 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5126 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5127 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5128 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5129 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5130 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5131 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5132 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5133 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5134 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5135 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5136 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5137 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5138 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5139 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5140 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5141 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5142 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5143 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5144 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5145 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5146 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5147 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5148 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5149 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5150 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5151 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5152 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5153 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5154 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5155 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5156 (tptp.class_Rings_Odvd tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5157 (tptp.class_Nat_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 18.94/19.19 (assume @p5158 (forall @t6141 (tptp.class_Nat_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence @t6128)))) % 18.94/19.19 (assume @p5159 (forall (@list @t6145 @t33) (= (tptp.hAPP (tptp.c_COMBI @t33) @t6145) @t6145))) % 17.06/19.20 (assume @p5160 (forall (@list @t6146 @t6145 @t10 @t33) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t33 @t10) @t6145) @t6146) @t6145))) % 17.06/19.20 (assume @p5161 (forall (@list @t361 @t53 @t56 @t150 @t10 @t38) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t653 @t56) @t53) @t361) (tptp.hAPP @t56 @t6147)))) % 17.06/19.20 (assume @p5162 (forall @t6149 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t151 @t56) @t53) @t361) (tptp.hAPP @t6148 @t53)))) % 17.06/19.20 (assume @p5163 (forall @t6149 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t38 @t150 @t10) @t56) @t53) @t361) (tptp.hAPP @t6148 @t6147)))) % 17.06/19.20 (assume @p5164 (forall @t2370 (or (not @t6150) @t98))) % 17.06/19.20 (assume @p5165 (forall @t2370 (or @t992 @t6150))) % 17.06/19.20 (assume @p5166 (not (tptp.hBOOL tptp.c_fFalse))) % 17.06/19.20 (assume @p5167 (tptp.hBOOL tptp.c_fTrue)) % 17.06/19.20 (assume @p5168 (forall @t2387 (or (not @t6153) @t6152))) % 17.06/19.20 (assume @p5169 (forall @t2387 (or (not @t6152) @t6153))) % 17.06/19.20 (assume @p5170 (forall @t6157 (or @t6152 @t6156 @t6154))) % 17.06/19.20 (assume @p5171 (forall @t6157 (or @t6158 @t6151))) % 17.06/19.20 (assume @p5172 (forall @t6157 (or @t6158 @t6155))) % 17.06/19.20 (assume @p5173 (forall @t6157 (or @t6152 @t6159))) % 17.06/19.20 (assume @p5174 (forall @t6160 (or @t6156 @t6159))) % 17.06/19.20 (assume @p5175 (forall @t6157 (or (not @t6159) @t6151 @t6155))) % 17.06/19.20 (assume @p5176 (forall @t6157 (or @t6151 @t6161))) % 17.06/19.20 (assume @p5177 (forall @t6160 (or @t6156 @t6161))) % 17.06/19.20 (assume @p5178 (forall @t6157 (or (not @t6161) @t6152 @t6155))) % 17.06/19.20 (assume @p5179 @t6162) % 17.06/19.20 (assume @p5180 (forall (@list @t6163) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6164 tptp.v_G_H) @t6163)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a @t6163 tptp.v_ts)))) % 17.06/19.20 (assume @p5181 (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a tptp.v_G tptp.v_G_H)) % 17.06/19.20 (assume @p5182 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6164 tptp.v_G) tptp.v_Ga))) % 17.06/19.20 (assume @p5183 @t6165) % 17.06/19.20 (assume @p5184 (not @t6166)) % 17.06/19.20 (assume @p5185 true) % 17.06/19.20 (step @p5186 :rule aci_norm :args ((= (or @t6168 (or @t6167 @t11)) @t6169))) % 17.06/19.20 (step @p5187 :rule bool-impl-elim :args (@t17 @t11)) % 17.06/19.20 (step @p5188 :rule refl :args (@t6168)) % 17.06/19.20 (step @p5189 :rule nary_cong :premises (@p5188 @p5187) :args ((or @t6168 @t18))) % 17.06/19.20 (step @p5190 :rule trans :premises (@p5189 @p5186)) % 17.06/19.20 (step @p5191 :rule bool-impl-elim :args (@t19 @t18)) % 17.06/19.20 (step @p5192 :rule trans :premises (@p5191 @p5190)) % 17.06/19.20 (step @p5193 :rule cong :premises (@p5192) :args (@t21)) % 17.06/19.20 (step @p5194 :rule eq_resolve :premises (@p4 @p5193)) % 17.06/19.20 (step @p5195 :rule cnf_or_pos :args (@t6172)) % 17.06/19.20 (step @p5196 :rule reordering :premises (@p5195) :args ((or @t6166 @t6171 @t6170 @t6173))) % 17.06/19.20 (step @p5197 :rule chain_m_resolution :premises (@p5196 @p5184 @p5179 @p5183) :args (@t6173 (@list true false false) (@list @t6166 @t6162 @t6165))) % 17.06/19.20 (assume-push @p5204 @t6174) % 17.06/19.20 (step @p5199 :rule instantiate :premises (@p5194) :args ((@list tptp.v_Ga tptp.v_ts tptp.v_G_H tptp.t_a))) % 17.06/19.20 (step-pop @p5205 :rule scope :premises (@p5199)) % 17.06/19.20 (step @p5200 :rule process_scope :premises (@p5205) :args (@t6172)) % 17.06/19.20 (step @p5202 :rule implies_elim :premises (@p5200)) % 17.06/19.20 (step @p5203 false :rule chain_m_resolution :premises (@p5202 @p5197 @p5194) :args (false (@list true false) (@list @t6172 @t6174))) % 17.06/19.20 ) % 17.06/19.20 % SZS output end Proof % 17.06/19.20 % cvc5 exiting %------------------------------------------------------------------------------