%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW394+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:51 AM UTC 2026 % Result : Theorem 53.50s 53.70s % Output : Proof 53.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW394+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:55:11 EDT 2026 % 0.16/0.34 % CPUTime : % 1.05/1.94 %----Proving TF0_NAR, FOF, or CNF % 53.50/53.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 53.50/53.70 --- Run --no-e-matching --full-saturate-quant at 6... % 53.50/53.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 53.50/53.70 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 53.50/53.70 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 53.50/53.70 % SZS status Theorem % 53.50/53.70 % SZS output start Proof % 53.50/53.70 ( % 53.50/53.70 (declare-sort $$unsorted 0) % 53.50/53.70 (declare-const tptp.t_a $$unsorted) % 53.50/53.70 (declare-const tptp.c_New__DSequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Quotient_OBabs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Quotient_ORespects (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Quickcheck_Obeyond (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Partial__Function_Ofun__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Random__Sequence_Osingle (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_DSequence_Oempty (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Random__Sequence_ORandom (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_DSequence_Osingle (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 53.50/53.70 (declare-const tptp.c_List_Oall__interval__int (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_FunDef_OTHE__default (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H__rel $$unsorted) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Oflat (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Lazy__Sequence_Osmall__lazy (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Omember (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.v_t $$unsorted) % 53.50/53.70 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olist__ex1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Nat_Osize (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_FunDef_Ois__measure (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Enum_Oenum__class_Oenum__ex (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Omaps (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_OremoveAll (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 53.50/53.70 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 53.50/53.70 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olinorder__class_Osort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Random__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Oreturn__list (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 53.50/53.70 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_fTrue $$unsorted) % 53.50/53.70 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Int_OInteg $$unsorted) % 53.50/53.70 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 53.50/53.70 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_Ointrel $$unsorted) % 53.50/53.70 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 53.50/53.70 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 53.50/53.70 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.tc_Nitpick_Opair__box (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.tc_Int_Oint $$unsorted) % 53.50/53.70 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Opair__box_OPairBox (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Oyield (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Enum_Oenum__class_Oenum__all (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_fconj $$unsorted) % 53.50/53.70 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Equiv__Relations_Opart__equivp (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Oall__interval__nat (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Enum_Oenum__the (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Random__Sequence_Oempty (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_fNot $$unsorted) % 53.50/53.70 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Oyieldn (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_fdisj $$unsorted) % 53.50/53.70 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Enum_Osublists (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Random__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__DSequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OInsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__Random__Sequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Predicate_Osymp (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Enum_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Int_Onat $$unsorted) % 53.50/53.70 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_DSequence_Ounion (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 53.50/53.70 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nat_OSuc $$unsorted) % 53.50/53.70 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_fimplies $$unsorted) % 53.50/53.70 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofolding__image__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 53.50/53.70 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Omeasures (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_fFalse $$unsorted) % 53.50/53.70 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 53.50/53.70 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_fequal $$unsorted) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.tc_Nat_Onat $$unsorted) % 53.50/53.70 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 53.50/53.70 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Oembed__list (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 53.50/53.70 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Fun_Obij__betw (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 53.50/53.70 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 53.50/53.70 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 53.50/53.70 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 53.50/53.70 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 53.50/53.70 (declare-const tptp.tc_HOL_Obool $$unsorted) % 53.50/53.70 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 53.50/53.70 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Set_OBex (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 53.50/53.70 (declare-const tptp.c_Enum_On__lists (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Predicate_Otransp (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_OMin $$unsorted) % 53.50/53.70 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_OPls $$unsorted) % 53.50/53.70 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 53.50/53.70 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 53.50/53.70 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 53.50/53.70 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 53.50/53.70 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 53.50/53.70 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 53.50/53.70 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 53.50/53.70 (define @t1 () (@var "V_g_2" $$unsorted)) % 53.50/53.70 (define @t2 () (@var "V_f_2" $$unsorted)) % 53.50/53.70 (define @t3 () (@var "B_x" $$unsorted)) % 53.50/53.70 (define @t4 () (tptp.hAPP @t1 @t3)) % 53.50/53.70 (define @t5 () (tptp.hAPP @t2 @t3)) % 53.50/53.70 (define @t6 () (= @t5 @t4)) % 53.50/53.70 (define @t7 () (@list @t3)) % 53.50/53.70 (define @t8 () (@var "T_b" $$unsorted)) % 53.50/53.70 (define @t9 () (tptp.tc_Hoare__Mirabelle_Otriple @t8)) % 53.50/53.70 (define @t10 () (tptp.tc_fun @t9 tptp.tc_HOL_Obool)) % 53.50/53.70 (define @t11 () (tptp.c_Orderings_Obot__class_Obot @t10)) % 53.50/53.70 (define @t12 () (@var "V_G_2" $$unsorted)) % 53.50/53.70 (define @t13 () (@var "V_a_2" $$unsorted)) % 53.50/53.70 (define @t14 () (@list @t13 @t8)) % 53.50/53.70 (define @t15 () (@var "V_ts_2" $$unsorted)) % 53.50/53.70 (define @t16 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t15)) % 53.50/53.70 (define @t17 () (@var "V_G_H_2" $$unsorted)) % 53.50/53.70 (define @t18 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t17 @t15)) % 53.50/53.70 (define @t19 () (@list @t12 @t15 @t17 @t8)) % 53.50/53.70 (define @t20 () (@var "V_ta_2" $$unsorted)) % 53.50/53.70 (define @t21 () (tptp.hAPP (tptp.c_Set_Oinsert @t9) @t20)) % 53.50/53.70 (define @t22 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP @t21 @t15))) % 53.50/53.70 (define @t23 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP @t21 @t11))) % 53.50/53.70 (define @t24 () (@list @t15 @t20 @t12 @t8)) % 53.50/53.70 (define @t25 () (@var "V_A_2" $$unsorted)) % 53.50/53.70 (define @t26 () (tptp.c_Set_Oinsert @t8)) % 53.50/53.70 (define @t27 () (tptp.hAPP @t26 @t13)) % 53.50/53.70 (define @t28 () (tptp.hAPP @t27 @t25)) % 53.50/53.70 (define @t29 () (tptp.tc_fun @t8 tptp.tc_HOL_Obool)) % 53.50/53.70 (define @t30 () (tptp.c_Orderings_Obot__class_Obot @t29)) % 53.50/53.70 (define @t31 () (@list @t25 @t13 @t8)) % 53.50/53.70 (define @t32 () (@var "V_c_2" $$unsorted)) % 53.50/53.70 (define @t33 () (@var "V_b_2" $$unsorted)) % 53.50/53.70 (define @t34 () (= @t33 @t32)) % 53.50/53.70 (define @t35 () (@var "V_d_2" $$unsorted)) % 53.50/53.70 (define @t36 () (= @t33 @t35)) % 53.50/53.70 (define @t37 () (= @t13 @t32)) % 53.50/53.70 (define @t38 () (and @t37 @t36)) % 53.50/53.70 (define @t39 () (tptp.hAPP @t26 @t32)) % 53.50/53.70 (define @t40 () (tptp.hAPP @t26 @t33)) % 53.50/53.70 (define @t41 () (tptp.hAPP @t40 @t30)) % 53.50/53.70 (define @t42 () (tptp.hAPP @t27 @t41)) % 53.50/53.70 (define @t43 () (@list @t35 @t32 @t33 @t13 @t8)) % 53.50/53.70 (define @t44 () (= @t13 @t33)) % 53.50/53.70 (define @t45 () (tptp.hAPP @t27 @t30)) % 53.50/53.70 (define @t46 () (@list @t33 @t13 @t8)) % 53.50/53.70 (define @t47 () (tptp.c_Orderings_Obot__class_Obot @t8)) % 53.50/53.70 (define @t48 () (@var "V_x_2" $$unsorted)) % 53.50/53.70 (define @t49 () (@var "T_c" $$unsorted)) % 53.50/53.70 (define @t50 () (tptp.tc_fun @t49 @t8)) % 53.50/53.70 (define @t51 () (@list @t48 @t49 @t8)) % 53.50/53.70 (define @t52 () (tptp.hAPP @t26 @t48)) % 53.50/53.70 (define @t53 () (tptp.hAPP @t52 @t30)) % 53.50/53.70 (define @t54 () (@list @t48 @t8)) % 53.50/53.70 (define @t55 () (tptp.hAPP @t52 @t25)) % 53.50/53.70 (define @t56 () (@list @t25 @t48 @t8)) % 53.50/53.70 (define @t57 () (@var "V_y_2" $$unsorted)) % 53.50/53.70 (define @t58 () (tptp.hAPP @t26 @t57)) % 53.50/53.70 (define @t59 () (tptp.hAPP @t58 @t25)) % 53.50/53.70 (define @t60 () (@list @t25 @t57 @t48 @t8)) % 53.50/53.70 (define @t61 () (tptp.hAPP @t25 @t48)) % 53.50/53.70 (define @t62 () (tptp.hBOOL @t61)) % 53.50/53.70 (define @t63 () (= @t57 @t48)) % 53.50/53.70 (define @t64 () (@var "V_F_2" $$unsorted)) % 53.50/53.70 (define @t65 () (tptp.c_Finite__Set_Ofolding__one @t8 @t2 @t64)) % 53.50/53.70 (define @t66 () (@list @t48 @t64 @t2 @t8)) % 53.50/53.70 (define @t67 () (= @t25 @t30)) % 53.50/53.70 (define @t68 () (not @t67)) % 53.50/53.70 (define @t69 () (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t25)) % 53.50/53.70 (define @t70 () (tptp.c_Finite__Set_Ofold1 @t8 @t2)) % 53.50/53.70 (define @t71 () (tptp.c_Orderings_Oord__class_Oless__eq @t29)) % 53.50/53.70 (define @t72 () (tptp.hAPP @t71 @t25)) % 53.50/53.70 (define @t73 () (@list @t48 @t25 @t8)) % 53.50/53.70 (define @t74 () (= @t33 @t13)) % 53.50/53.70 (define @t75 () (tptp.c_member @t8)) % 53.50/53.70 (define @t76 () (tptp.hAPP @t75 @t33)) % 53.50/53.70 (define @t77 () (tptp.hBOOL (tptp.hAPP @t76 @t45))) % 53.50/53.70 (define @t78 () (@list @t13 @t33 @t8)) % 53.50/53.70 (define @t79 () (@var "V_z_2" $$unsorted)) % 53.50/53.70 (define @t80 () (tptp.tc_fun @t49 tptp.tc_HOL_Obool)) % 53.50/53.70 (define @t81 () (tptp.c_Orderings_Obot__class_Obot @t80)) % 53.50/53.70 (define @t82 () (tptp.c_Finite__Set_Ofolding__image__simple @t8 @t49 @t2 @t79 @t1 @t64)) % 53.50/53.70 (define @t83 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29)) % 53.50/53.70 (define @t84 () (tptp.c_Groups_Ominus__class_Ominus @t29)) % 53.50/53.70 (define @t85 () (tptp.hAPP @t84 @t25)) % 53.50/53.70 (define @t86 () (tptp.hAPP @t85 @t45)) % 53.50/53.70 (define @t87 () (tptp.hAPP @t27 @t86)) % 53.50/53.70 (define @t88 () (@var "V_B_2" $$unsorted)) % 53.50/53.70 (define @t89 () (tptp.hAPP @t27 @t88)) % 53.50/53.70 (define @t90 () (tptp.hAPP @t85 @t89)) % 53.50/53.70 (define @t91 () (@list @t88 @t13 @t25 @t8)) % 53.50/53.70 (define @t92 () (tptp.hAPP @t85 @t88)) % 53.50/53.70 (define @t93 () (tptp.hAPP @t84 @t92)) % 53.50/53.70 (define @t94 () (tptp.hAPP @t2 @t48)) % 53.50/53.70 (define @t95 () (= (tptp.hAPP @t94 @t48) @t48)) % 53.50/53.70 (define @t96 () (@list @t8)) % 53.50/53.70 (define @t97 () (@var "V_x" $$unsorted)) % 53.50/53.70 (define @t98 () (@var "T_a" $$unsorted)) % 53.50/53.70 (define @t99 () (tptp.c_Orderings_Oord__class_Oless__eq @t98)) % 53.50/53.70 (define @t100 () (tptp.hAPP @t99 @t97)) % 53.50/53.70 (define @t101 () (tptp.hBOOL (tptp.hAPP @t100 @t97))) % 53.50/53.70 (define @t102 () (tptp.class_Orderings_Opreorder @t98)) % 53.50/53.70 (define @t103 () (@list @t97 @t98)) % 53.50/53.70 (define @t104 () (forall @t103 (=> @t102 @t101))) % 53.50/53.70 (define @t105 () (tptp.hAPP @t75 @t32)) % 53.50/53.70 (define @t106 () (tptp.hBOOL (tptp.hAPP @t105 @t88))) % 53.50/53.70 (define @t107 () (tptp.hBOOL (tptp.hAPP @t105 @t25))) % 53.50/53.70 (define @t108 () (not @t107)) % 53.50/53.70 (define @t109 () (=> @t108 @t106)) % 53.50/53.70 (define @t110 () (not @t106)) % 53.50/53.70 (define @t111 () (=> @t107 @t110)) % 53.50/53.70 (define @t112 () (= @t25 @t88)) % 53.50/53.70 (define @t113 () (tptp.hAPP @t71 @t88)) % 53.50/53.70 (define @t114 () (tptp.hBOOL (tptp.hAPP @t113 @t25))) % 53.50/53.70 (define @t115 () (tptp.hBOOL (tptp.hAPP @t72 @t88))) % 53.50/53.70 (define @t116 () (@list @t88 @t25 @t8)) % 53.50/53.70 (define @t117 () (tptp.hAPP @t75 @t13)) % 53.50/53.70 (define @t118 () (tptp.hBOOL (tptp.hAPP @t117 @t25))) % 53.50/53.70 (define @t119 () (not @t44)) % 53.50/53.70 (define @t120 () (tptp.hAPP @t40 @t25)) % 53.50/53.70 (define @t121 () (tptp.hBOOL (tptp.hAPP @t117 @t120))) % 53.50/53.71 (define @t122 () (@list @t25 @t33 @t13 @t8)) % 53.50/53.71 (define @t123 () (tptp.hAPP @t40 @t88)) % 53.50/53.71 (define @t124 () (tptp.hBOOL (tptp.hAPP @t117 @t123))) % 53.50/53.71 (define @t125 () (tptp.hBOOL (tptp.hAPP @t117 @t88))) % 53.50/53.71 (define @t126 () (not @t125)) % 53.50/53.71 (define @t127 () (@list @t33 @t88 @t13 @t8)) % 53.50/53.71 (define @t128 () (=> @t107 @t106)) % 53.50/53.71 (define @t129 () (@list @t32 @t88 @t25 @t8)) % 53.50/53.71 (define @t130 () (tptp.hAPP @t83 @t25)) % 53.50/53.71 (define @t131 () (tptp.hAPP @t130 @t88)) % 53.50/53.71 (define @t132 () (tptp.hBOOL (tptp.hAPP @t105 @t131))) % 53.50/53.71 (define @t133 () (@list @t88 @t25 @t32 @t8)) % 53.50/53.71 (define @t134 () (@list @t25 @t88 @t32 @t8)) % 53.50/53.71 (define @t135 () (@list @t25 @t8)) % 53.50/53.71 (define @t136 () (tptp.hBOOL (tptp.hAPP @t105 @t92))) % 53.50/53.71 (define @t137 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8)) % 53.50/53.71 (define @t138 () (tptp.class_Lattices_Osemilattice__sup @t8)) % 53.50/53.71 (define @t139 () (@list @t25 @t88 @t8)) % 53.50/53.71 (define @t140 () (tptp.hAPP @t71 @t92)) % 53.50/53.71 (define @t141 () (tptp.c_Orderings_Oord__class_Oless__eq @t49)) % 53.50/53.71 (define @t142 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t141 @t5) @t4))) % 53.50/53.71 (define @t143 () (tptp.tc_fun @t8 @t49)) % 53.50/53.71 (define @t144 () (tptp.c_Orderings_Oord__class_Oless__eq @t143)) % 53.50/53.71 (define @t145 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t144 @t2) @t1))) % 53.50/53.71 (define @t146 () (tptp.class_Orderings_Oord @t49)) % 53.50/53.71 (define @t147 () (@list @t1 @t2 @t8 @t49)) % 53.50/53.71 (define @t148 () (tptp.hAPP @t75 @t48)) % 53.50/53.71 (define @t149 () (tptp.hBOOL (tptp.hAPP @t148 @t25))) % 53.50/53.71 (define @t150 () (tptp.hAPP @t83 @t88)) % 53.50/53.71 (define @t151 () (tptp.hAPP @t150 @t25)) % 53.50/53.71 (define @t152 () (@var "V_y" $$unsorted)) % 53.50/53.71 (define @t153 () (tptp.hAPP @t99 @t152)) % 53.50/53.71 (define @t154 () (tptp.hBOOL (tptp.hAPP @t153 @t97))) % 53.50/53.71 (define @t155 () (tptp.hBOOL (tptp.hAPP @t100 @t152))) % 53.50/53.71 (define @t156 () (tptp.class_Orderings_Olinorder @t98)) % 53.50/53.71 (define @t157 () (@list @t152 @t97 @t98)) % 53.50/53.71 (define @t158 () (= @t131 @t88)) % 53.50/53.71 (define @t159 () (@list @t8 @t88 @t25)) % 53.50/53.71 (define @t160 () (tptp.c_Orderings_Oord__class_Oless__eq @t8)) % 53.50/53.71 (define @t161 () (tptp.hAPP @t160 @t57)) % 53.50/53.71 (define @t162 () (tptp.hBOOL (tptp.hAPP @t161 @t48))) % 53.50/53.71 (define @t163 () (tptp.hAPP @t160 @t48)) % 53.50/53.71 (define @t164 () (tptp.hBOOL (tptp.hAPP @t163 @t57))) % 53.50/53.71 (define @t165 () (= @t48 @t57)) % 53.50/53.71 (define @t166 () (tptp.class_Orderings_Oorder @t8)) % 53.50/53.71 (define @t167 () (@list @t57 @t48 @t8)) % 53.50/53.71 (define @t168 () (tptp.hAPP @t84 @t88)) % 53.50/53.71 (define @t169 () (tptp.hAPP @t168 @t25)) % 53.50/53.71 (define @t170 () (tptp.hAPP @t130 @t169)) % 53.50/53.71 (define @t171 () (@var "V_C_2" $$unsorted)) % 53.50/53.71 (define @t172 () (tptp.hAPP @t130 @t171)) % 53.50/53.71 (define @t173 () (tptp.hAPP @t150 @t171)) % 53.50/53.71 (define @t174 () (tptp.hAPP @t130 @t173)) % 53.50/53.71 (define @t175 () (@list @t171 @t88 @t25 @t8)) % 53.50/53.71 (define @t176 () (tptp.hAPP @t168 @t171)) % 53.50/53.71 (define @t177 () (tptp.hAPP @t85 @t171)) % 53.50/53.71 (define @t178 () (@var "V_P_2" $$unsorted)) % 53.50/53.71 (define @t179 () (tptp.hAPP @t178 @t3)) % 53.50/53.71 (define @t180 () (tptp.hBOOL @t179)) % 53.50/53.71 (define @t181 () (tptp.hAPP @t75 @t3)) % 53.50/53.71 (define @t182 () (tptp.hBOOL (tptp.hAPP @t181 @t88))) % 53.50/53.71 (define @t183 () (tptp.hBOOL (tptp.hAPP @t181 @t25))) % 53.50/53.71 (define @t184 () (tptp.hBOOL (tptp.hAPP @t181 @t131))) % 53.50/53.71 (define @t185 () (@list @t178 @t88 @t25 @t8)) % 53.50/53.71 (define @t186 () (= @t97 @t152)) % 53.50/53.71 (define @t187 () (tptp.hAPP @t1 @t48)) % 53.50/53.71 (define @t188 () (tptp.hBOOL (tptp.hAPP @t148 @t88))) % 53.50/53.71 (define @t189 () (tptp.hAPP @t75 @t57)) % 53.50/53.71 (define @t190 () (tptp.hBOOL (tptp.hAPP @t189 @t25))) % 53.50/53.71 (define @t191 () (@list @t48 @t88 @t25 @t8)) % 53.50/53.71 (define @t192 () (= @t164 @t165)) % 53.50/53.71 (define @t193 () (@list @t48 @t57 @t8)) % 53.50/53.71 (define @t194 () (tptp.hBOOL (tptp.hAPP @t76 @t25))) % 53.50/53.71 (define @t195 () (@list @t25 @t8 @t33 @t13)) % 53.50/53.71 (define @t196 () (@var "V_c" $$unsorted)) % 53.50/53.71 (define @t197 () (@var "V_a" $$unsorted)) % 53.50/53.71 (define @t198 () (tptp.hAPP @t99 @t197)) % 53.50/53.71 (define @t199 () (tptp.hBOOL (tptp.hAPP @t198 @t196))) % 53.50/53.71 (define @t200 () (@var "V_b" $$unsorted)) % 53.50/53.71 (define @t201 () (tptp.hAPP @t99 @t200)) % 53.50/53.71 (define @t202 () (tptp.hBOOL (tptp.hAPP @t201 @t196))) % 53.50/53.71 (define @t203 () (= @t197 @t200)) % 53.50/53.71 (define @t204 () (tptp.class_Orderings_Oord @t98)) % 53.50/53.71 (define @t205 () (@list @t196 @t200 @t197 @t98)) % 53.50/53.71 (define @t206 () (tptp.hAPP @t99 @t196)) % 53.50/53.71 (define @t207 () (tptp.hBOOL (tptp.hAPP @t206 @t197))) % 53.50/53.71 (define @t208 () (tptp.class_Orderings_Oorder @t98)) % 53.50/53.71 (define @t209 () (@list @t88 @t25 @t48 @t8)) % 53.50/53.71 (define @t210 () (tptp.hBOOL (tptp.hAPP @t72 @t171))) % 53.50/53.71 (define @t211 () (tptp.hBOOL (tptp.hAPP @t113 @t171))) % 53.50/53.71 (define @t212 () (= @t200 @t196)) % 53.50/53.71 (define @t213 () (tptp.hBOOL (tptp.hAPP @t198 @t200))) % 53.50/53.71 (define @t214 () (tptp.hBOOL (tptp.hAPP @t201 @t197))) % 53.50/53.71 (define @t215 () (@list @t196 @t197 @t200 @t98)) % 53.50/53.71 (define @t216 () (@var "V_z" $$unsorted)) % 53.50/53.71 (define @t217 () (tptp.hBOOL (tptp.hAPP @t100 @t216))) % 53.50/53.71 (define @t218 () (tptp.hBOOL (tptp.hAPP @t153 @t216))) % 53.50/53.71 (define @t219 () (@list @t216 @t152 @t97 @t98)) % 53.50/53.71 (define @t220 () (@list @t97 @t152 @t98)) % 53.50/53.71 (define @t221 () (tptp.hAPP @t99 @t216)) % 53.50/53.71 (define @t222 () (tptp.hBOOL (tptp.hAPP @t221 @t97))) % 53.50/53.71 (define @t223 () (tptp.hBOOL (tptp.hAPP @t221 @t152))) % 53.50/53.71 (define @t224 () (@list @t216 @t97 @t152 @t98)) % 53.50/53.71 (define @t225 () (tptp.hAPP @t71 @t131)) % 53.50/53.71 (define @t226 () (@list @t88 @t171 @t25 @t8)) % 53.50/53.71 (define @t227 () (@var "V_D_2" $$unsorted)) % 53.50/53.71 (define @t228 () (tptp.hAPP @t83 @t171)) % 53.50/53.71 (define @t229 () (tptp.hBOOL (tptp.hAPP @t113 @t227))) % 53.50/53.71 (define @t230 () (@list @t227 @t88 @t171 @t25 @t8)) % 53.50/53.71 (define @t231 () (tptp.hAPP @t84 @t171)) % 53.50/53.71 (define @t232 () (tptp.hAPP @t94 @t79)) % 53.50/53.71 (define @t233 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t49 @t2)) % 53.50/53.71 (define @t234 () (tptp.hAPP @t84 @t55)) % 53.50/53.71 (define @t235 () (tptp.hAPP @t234 @t88)) % 53.50/53.71 (define @t236 () (=> @t188 (= @t235 @t92))) % 53.50/53.71 (define @t237 () (@list @t25 @t88 @t48 @t8)) % 53.50/53.71 (define @t238 () (not @t188)) % 53.50/53.71 (define @t239 () (tptp.hAPP @t52 @t88)) % 53.50/53.71 (define @t240 () (tptp.hBOOL (tptp.hAPP @t72 @t239))) % 53.50/53.71 (define @t241 () (not @t149)) % 53.50/53.71 (define @t242 () (=> @t241 @t115)) % 53.50/53.71 (define @t243 () (tptp.hAPP @t85 @t53)) % 53.50/53.71 (define @t244 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t243) @t88))) % 53.50/53.71 (define @t245 () (@list @t88 @t48 @t25 @t8)) % 53.50/53.71 (define @t246 () (@list @t88 @t8)) % 53.50/53.71 (define @t247 () (= @t88 @t30)) % 53.50/53.71 (define @t248 () (tptp.c_Orderings_Obot__class_Obot @t98)) % 53.50/53.71 (define @t249 () (not @t183)) % 53.50/53.71 (define @t250 () (exists @t7 @t183)) % 53.50/53.71 (define @t251 () (not @t118)) % 53.50/53.71 (define @t252 () (@list @t88 @t13 @t8)) % 53.50/53.71 (define @t253 () (or @t44 @t118)) % 53.50/53.71 (define @t254 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP @t27 @t171)) (tptp.hAPP @t27 @t227)))) % 53.50/53.71 (define @t255 () (tptp.hAPP @t71 @t171)) % 53.50/53.71 (define @t256 () (tptp.hBOOL (tptp.hAPP @t255 @t227))) % 53.50/53.71 (define @t257 () (forall (@list @t13 @t227 @t171 @t8) (=> @t256 @t254))) % 53.50/53.71 (define @t258 () (tptp.c_Orderings_Oord__class_Oless__eq @t10)) % 53.50/53.71 (define @t259 () (tptp.hAPP @t258 @t15)) % 53.50/53.71 (define @t260 () (tptp.hBOOL (tptp.hAPP @t259 @t12))) % 53.50/53.71 (define @t261 () (forall (@list @t12 @t15 @t8) (=> @t260 @t16))) % 53.50/53.71 (define @t262 () (@var "V_ts_H_2" $$unsorted)) % 53.50/53.71 (define @t263 () (tptp.hBOOL (tptp.hAPP @t131 @t48))) % 53.50/53.71 (define @t264 () (tptp.hAPP @t88 @t48)) % 53.50/53.71 (define @t265 () (tptp.hBOOL @t264)) % 53.50/53.71 (define @t266 () (not @t265)) % 53.50/53.71 (define @t267 () (tptp.c_Groups_Ominus__class_Ominus @t8)) % 53.50/53.71 (define @t268 () (tptp.class_Lattices_Olattice @t8)) % 53.50/53.71 (define @t269 () (@list @t48 @t1 @t2 @t49 @t8)) % 53.50/53.71 (define @t270 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t98)) % 53.50/53.71 (define @t271 () (tptp.class_Lattices_Obounded__lattice__bot @t98)) % 53.50/53.71 (define @t272 () (tptp.hAPP @t270 @t97)) % 53.50/53.71 (define @t273 () (tptp.hAPP @t137 @t48)) % 53.50/53.71 (define @t274 () (tptp.hAPP @t273 @t57)) % 53.50/53.71 (define @t275 () (tptp.hBOOL (tptp.hAPP @t201 @t97))) % 53.50/53.71 (define @t276 () (tptp.hBOOL (tptp.hAPP @t198 @t97))) % 53.50/53.71 (define @t277 () (not (=> @t276 (not @t275)))) % 53.50/53.71 (define @t278 () (tptp.hAPP @t270 @t197)) % 53.50/53.71 (define @t279 () (tptp.hAPP @t278 @t200)) % 53.50/53.71 (define @t280 () (tptp.hAPP @t99 @t279)) % 53.50/53.71 (define @t281 () (tptp.hBOOL (tptp.hAPP @t280 @t97))) % 53.50/53.71 (define @t282 () (tptp.class_Lattices_Osemilattice__sup @t98)) % 53.50/53.71 (define @t283 () (@list @t97 @t200 @t197 @t98)) % 53.50/53.71 (define @t284 () (@var "V_d" $$unsorted)) % 53.50/53.71 (define @t285 () (tptp.hBOOL (tptp.hAPP @t201 @t284))) % 53.50/53.71 (define @t286 () (@list @t284 @t200 @t196 @t197 @t98)) % 53.50/53.71 (define @t287 () (tptp.hAPP @t270 @t152)) % 53.50/53.71 (define @t288 () (tptp.hAPP @t287 @t216)) % 53.50/53.71 (define @t289 () (@list @t200 @t97 @t197 @t98)) % 53.50/53.71 (define @t290 () (tptp.hAPP @t272 @t152)) % 53.50/53.71 (define @t291 () (tptp.hAPP tptp.c_fequal @t57)) % 53.50/53.71 (define @t292 () (@list @t197 @t98)) % 53.50/53.71 (define @t293 () (= (tptp.hAPP @t272 @t97) @t97)) % 53.50/53.71 (define @t294 () (tptp.hAPP @t270 @t200)) % 53.50/53.71 (define @t295 () (@list @t200 @t197 @t98)) % 53.50/53.71 (define @t296 () (tptp.hAPP @t287 @t97)) % 53.50/53.71 (define @t297 () (= @t290 @t296)) % 53.50/53.71 (define @t298 () (tptp.class_Lattices_Olattice @t98)) % 53.50/53.71 (define @t299 () (= (tptp.hAPP @t272 @t290) @t290)) % 53.50/53.71 (define @t300 () (tptp.hAPP @t278 (tptp.hAPP @t294 @t196))) % 53.50/53.71 (define @t301 () (tptp.hAPP @t272 @t216)) % 53.50/53.71 (define @t302 () (tptp.hAPP @t272 @t288)) % 53.50/53.71 (define @t303 () (= @t302 (tptp.hAPP @t287 @t301))) % 53.50/53.71 (define @t304 () (= (tptp.hAPP (tptp.hAPP @t270 @t290) @t216) @t302)) % 53.50/53.71 (define @t305 () (@var "V_Q_2" $$unsorted)) % 53.50/53.71 (define @t306 () (tptp.hAPP @t305 @t48)) % 53.50/53.71 (define @t307 () (tptp.hBOOL @t306)) % 53.50/53.71 (define @t308 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t178) @t305))) % 53.50/53.71 (define @t309 () (tptp.hAPP @t178 @t48)) % 53.50/53.71 (define @t310 () (tptp.hBOOL @t309)) % 53.50/53.71 (define @t311 () (tptp.hBOOL (tptp.hAPP @t100 @t290))) % 53.50/53.71 (define @t312 () (tptp.hBOOL (tptp.hAPP @t153 @t290))) % 53.50/53.71 (define @t313 () (tptp.hBOOL (tptp.hAPP @t161 @t79))) % 53.50/53.71 (define @t314 () (tptp.hBOOL (tptp.hAPP @t163 @t79))) % 53.50/53.71 (define @t315 () (and @t314 @t313)) % 53.50/53.71 (define @t316 () (@list @t79 @t57 @t48 @t8)) % 53.50/53.71 (define @t317 () (tptp.hBOOL (tptp.hAPP @t100 @t279))) % 53.50/53.71 (define @t318 () (tptp.hBOOL (tptp.hAPP @t100 @t197))) % 53.50/53.71 (define @t319 () (@list @t200 @t197 @t97 @t98)) % 53.50/53.71 (define @t320 () (tptp.hBOOL (tptp.hAPP @t100 @t200))) % 53.50/53.71 (define @t321 () (@list @t197 @t200 @t97 @t98)) % 53.50/53.71 (define @t322 () (tptp.hAPP @t160 @t32)) % 53.50/53.71 (define @t323 () (tptp.hBOOL (tptp.hAPP @t322 @t35))) % 53.50/53.71 (define @t324 () (tptp.hAPP @t160 @t13)) % 53.50/53.71 (define @t325 () (tptp.hBOOL (tptp.hAPP @t324 @t33))) % 53.50/53.71 (define @t326 () (tptp.hAPP (tptp.hAPP @t267 @t13) @t33)) % 53.50/53.71 (define @t327 () (= @t326 (tptp.hAPP (tptp.hAPP @t267 @t32) @t35))) % 53.50/53.71 (define @t328 () (tptp.class_Groups_Oordered__ab__group__add @t8)) % 53.50/53.71 (define @t329 () (tptp.hAPP @t64 @t243)) % 53.50/53.71 (define @t330 () (tptp.hAPP @t94 @t329)) % 53.50/53.71 (define @t331 () (tptp.hAPP @t64 @t25)) % 53.50/53.71 (define @t332 () (= @t243 @t30)) % 53.50/53.71 (define @t333 () (not @t332)) % 53.50/53.71 (define @t334 () (tptp.c_Finite__Set_Ofinite @t8)) % 53.50/53.71 (define @t335 () (tptp.hBOOL (tptp.hAPP @t334 @t25))) % 53.50/53.71 (define @t336 () (@list @t48 @t25 @t64 @t2 @t8)) % 53.50/53.71 (define @t337 () (tptp.c_Set_Oinsert @t49)) % 53.50/53.71 (define @t338 () (tptp.hAPP @t337 @t48)) % 53.50/53.71 (define @t339 () (tptp.c_Groups_Ominus__class_Ominus @t80)) % 53.50/53.71 (define @t340 () (tptp.hAPP @t339 @t25)) % 53.50/53.71 (define @t341 () (tptp.hAPP @t2 @t187)) % 53.50/53.71 (define @t342 () (tptp.hAPP @t341 (tptp.hAPP @t64 (tptp.hAPP @t340 (tptp.hAPP @t338 @t81))))) % 53.50/53.71 (define @t343 () (tptp.c_member @t49)) % 53.50/53.71 (define @t344 () (tptp.hAPP @t343 @t48)) % 53.50/53.71 (define @t345 () (tptp.hBOOL (tptp.hAPP @t344 @t25))) % 53.50/53.71 (define @t346 () (tptp.c_Finite__Set_Ofinite @t49)) % 53.50/53.71 (define @t347 () (tptp.hBOOL (tptp.hAPP @t346 @t25))) % 53.50/53.71 (define @t348 () (@list @t48 @t25 @t64 @t1 @t79 @t2 @t49 @t8)) % 53.50/53.71 (define @t349 () (tptp.c_Orderings_Oord__class_Oless @t29)) % 53.50/53.71 (define @t350 () (tptp.hAPP @t349 @t25)) % 53.50/53.71 (define @t351 () (tptp.hBOOL (tptp.hAPP @t350 @t88))) % 53.50/53.71 (define @t352 () (tptp.hAPP @t94 @t57)) % 53.50/53.71 (define @t353 () (@list @t57 @t79 @t2 @t49 @t25 @t48 @t8)) % 53.50/53.71 (define @t354 () (tptp.c_Finite__Set_Ofold__graph @t8 @t49 @t2 @t79 @t25)) % 53.50/53.71 (define @t355 () (@list @t57 @t48 @t25 @t79 @t2 @t49 @t8)) % 53.50/53.71 (define @t356 () (tptp.hAPP @t64 @t55)) % 53.50/53.71 (define @t357 () (tptp.hAPP @t64 (tptp.hAPP @t338 @t25))) % 53.50/53.71 (define @t358 () (tptp.hAPP @t94 @t331)) % 53.50/53.71 (define @t359 () (=> @t68 (= @t356 @t358))) % 53.50/53.71 (define @t360 () (@var "B_B" $$unsorted)) % 53.50/53.71 (define @t361 () (tptp.hAPP @t26 @t3)) % 53.50/53.71 (define @t362 () (tptp.hBOOL (tptp.hAPP @t334 @t28))) % 53.50/53.71 (define @t363 () (@list @t13 @t25 @t8)) % 53.50/53.71 (define @t364 () (tptp.hBOOL (tptp.hAPP @t334 @t92))) % 53.50/53.71 (define @t365 () (tptp.class_Finite__Set_Ofinite @t8)) % 53.50/53.71 (define @t366 () (tptp.c_Orderings_Oord__class_Oless @t98)) % 53.50/53.71 (define @t367 () (tptp.hAPP @t366 @t97)) % 53.50/53.71 (define @t368 () (tptp.c_Orderings_Oord__class_Oless @t8)) % 53.50/53.71 (define @t369 () (tptp.hAPP @t368 @t57)) % 53.50/53.71 (define @t370 () (tptp.hBOOL (tptp.hAPP @t369 @t48))) % 53.50/53.71 (define @t371 () (tptp.hAPP @t368 @t48)) % 53.50/53.71 (define @t372 () (tptp.hBOOL (tptp.hAPP @t371 @t57))) % 53.50/53.71 (define @t373 () (not @t165)) % 53.50/53.71 (define @t374 () (tptp.class_Orderings_Olinorder @t8)) % 53.50/53.71 (define @t375 () (not @t372)) % 53.50/53.71 (define @t376 () (tptp.hAPP @t366 @t152)) % 53.50/53.71 (define @t377 () (tptp.hBOOL (tptp.hAPP @t376 @t97))) % 53.50/53.71 (define @t378 () (tptp.hBOOL (tptp.hAPP @t367 @t152))) % 53.50/53.71 (define @t379 () (= @t375 @t165)) % 53.50/53.71 (define @t380 () (not @t378)) % 53.50/53.71 (define @t381 () (not @t186)) % 53.50/53.71 (define @t382 () (=> @t381 (=> @t380 @t377))) % 53.50/53.71 (define @t383 () (not (= @t152 @t97))) % 53.50/53.71 (define @t384 () (tptp.hAPP @t366 @t200)) % 53.50/53.71 (define @t385 () (tptp.hBOOL (tptp.hAPP @t384 @t197))) % 53.50/53.71 (define @t386 () (tptp.hAPP @t366 @t197)) % 53.50/53.71 (define @t387 () (tptp.hBOOL (tptp.hAPP @t386 @t200))) % 53.50/53.71 (define @t388 () (@list @t197 @t200 @t98)) % 53.50/53.71 (define @t389 () (tptp.hBOOL (tptp.hAPP @t386 @t196))) % 53.50/53.71 (define @t390 () (tptp.hBOOL (tptp.hAPP @t384 @t196))) % 53.50/53.71 (define @t391 () (tptp.hAPP @t366 @t196)) % 53.50/53.71 (define @t392 () (tptp.hBOOL (tptp.hAPP @t391 @t197))) % 53.50/53.71 (define @t393 () (tptp.hBOOL (tptp.hAPP @t350 @t171))) % 53.50/53.71 (define @t394 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t349 @t88) @t171)) @t393)) % 53.50/53.71 (define @t395 () (tptp.hBOOL (tptp.hAPP @t367 @t216))) % 53.50/53.71 (define @t396 () (=> (tptp.hBOOL (tptp.hAPP @t376 @t216)) @t395)) % 53.50/53.71 (define @t397 () (tptp.hAPP @t366 @t216)) % 53.50/53.71 (define @t398 () (tptp.hBOOL (tptp.hAPP @t397 @t97))) % 53.50/53.71 (define @t399 () (=> (tptp.hBOOL (tptp.hAPP @t397 @t152)) @t398)) % 53.50/53.71 (define @t400 () (tptp.hBOOL (tptp.hAPP @t354 @t48))) % 53.50/53.71 (define @t401 () (tptp.hAPP @t368 @t32)) % 53.50/53.71 (define @t402 () (tptp.hBOOL (tptp.hAPP @t401 @t35))) % 53.50/53.71 (define @t403 () (tptp.hAPP @t368 @t13)) % 53.50/53.71 (define @t404 () (tptp.hBOOL (tptp.hAPP @t403 @t33))) % 53.50/53.71 (define @t405 () (@var "V_a2_2" $$unsorted)) % 53.50/53.71 (define @t406 () (@var "V_a1_2" $$unsorted)) % 53.50/53.71 (define @t407 () (@list @t79 @t2 @t49 @t8)) % 53.50/53.71 (define @t408 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t143) @t2) @t1))) % 53.50/53.71 (define @t409 () (not @t203)) % 53.50/53.71 (define @t410 () (tptp.hBOOL (tptp.hAPP @t367 @t279))) % 53.50/53.71 (define @t411 () (tptp.hBOOL (tptp.hAPP @t367 @t200))) % 53.50/53.71 (define @t412 () (tptp.hBOOL (tptp.hAPP @t367 @t197))) % 53.50/53.71 (define @t413 () (tptp.hBOOL (tptp.hAPP @t334 @t88))) % 53.50/53.71 (define @t414 () (tptp.hBOOL (tptp.hAPP @t334 @t12))) % 53.50/53.71 (define @t415 () (tptp.hBOOL (tptp.hAPP @t334 @t64))) % 53.50/53.71 (define @t416 () (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP (tptp.hAPP @t83 @t64) @t12)))) % 53.50/53.71 (define @t417 () (@list @t12 @t64 @t8)) % 53.50/53.71 (define @t418 () (tptp.c_Finite__Set_Ofold__graph @t8 @t49 @t2 @t79 @t30)) % 53.50/53.71 (define @t419 () (= @t48 @t79)) % 53.50/53.71 (define @t420 () (tptp.c_Finite__Set_Ofold__graph @t8 @t49 @t2 @t79 @t55)) % 53.50/53.71 (define @t421 () (tptp.hBOOL (tptp.hAPP @t354 @t57))) % 53.50/53.71 (define @t422 () (tptp.hAPP @t70 @t25)) % 53.50/53.71 (define @t423 () (=> @t335 (= @t331 @t422))) % 53.50/53.71 (define @t424 () (@list @t25 @t64 @t2 @t8)) % 53.50/53.71 (define @t425 () (= @t32 @t35)) % 53.50/53.71 (define @t426 () (tptp.class_Groups_Oab__group__add @t8)) % 53.50/53.71 (define @t427 () (tptp.hAPP @t341 @t331)) % 53.50/53.71 (define @t428 () (= @t357 @t427)) % 53.50/53.71 (define @t429 () (@var "B_y" $$unsorted)) % 53.50/53.71 (define @t430 () (tptp.hAPP @t361 @t30)) % 53.50/53.71 (define @t431 () (@var "V_a4_2" $$unsorted)) % 53.50/53.71 (define @t432 () (@var "V_a3_2" $$unsorted)) % 53.50/53.71 (define @t433 () (@var "V_a5_2" $$unsorted)) % 53.50/53.71 (define @t434 () (tptp.hAPP (tptp.hAPP @t432 @t406) @t433)) % 53.50/53.71 (define @t435 () (@list @t3 @t429)) % 53.50/53.71 (define @t436 () (= @t405 @t30)) % 53.50/53.71 (define @t437 () (tptp.hAPP @t361 (tptp.hAPP (tptp.hAPP @t26 @t429) @t30))) % 53.50/53.71 (define @t438 () (tptp.hAPP @t5 @t429)) % 53.50/53.71 (define @t439 () (tptp.hBOOL (tptp.hAPP @t178 @t30))) % 53.50/53.71 (define @t440 () (@var "B_a" $$unsorted)) % 53.50/53.71 (define @t441 () (tptp.hAPP @t26 @t440)) % 53.50/53.71 (define @t442 () (@var "B_A" $$unsorted)) % 53.50/53.71 (define @t443 () (tptp.hAPP @t75 @t440)) % 53.50/53.71 (define @t444 () (tptp.hBOOL (tptp.hAPP @t443 @t442))) % 53.50/53.71 (define @t445 () (@list @t440 @t442)) % 53.50/53.71 (define @t446 () (tptp.hAPP @t64 @t88)) % 53.50/53.71 (define @t447 () (tptp.hAPP (tptp.hAPP @t2 @t331) @t446)) % 53.50/53.71 (define @t448 () (tptp.hAPP @t64 @t131)) % 53.50/53.71 (define @t449 () (= @t448 @t447)) % 53.50/53.71 (define @t450 () (not @t247)) % 53.50/53.71 (define @t451 () (tptp.c_Finite__Set_Ofolding__one__idem @t8 @t2 @t64)) % 53.50/53.71 (define @t452 () (@list @t88 @t25 @t64 @t2 @t8)) % 53.50/53.71 (define @t453 () (= (tptp.hAPP (tptp.hAPP @t2 @t446) @t331) @t331)) % 53.50/53.71 (define @t454 () (tptp.hBOOL (tptp.hAPP @t178 @t64))) % 53.50/53.71 (define @t455 () (@var "B_F" $$unsorted)) % 53.50/53.71 (define @t456 () (tptp.hBOOL (tptp.hAPP @t178 @t455))) % 53.50/53.71 (define @t457 () (tptp.hBOOL (tptp.hAPP @t443 @t25))) % 53.50/53.71 (define @t458 () (tptp.hBOOL (tptp.hAPP @t334 @t455))) % 53.50/53.71 (define @t459 () (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t2 @t440 @t442)) % 53.50/53.71 (define @t460 () (tptp.hAPP @t441 @t442)) % 53.50/53.71 (define @t461 () (@var "V_X_2" $$unsorted)) % 53.50/53.71 (define @t462 () (tptp.hAPP @t27 @t461)) % 53.50/53.71 (define @t463 () (tptp.hAPP @t26 @t406)) % 53.50/53.71 (define @t464 () (tptp.hAPP @t463 @t405)) % 53.50/53.71 (define @t465 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 53.50/53.71 (define @t466 () (not @t194)) % 53.50/53.71 (define @t467 () (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t465 @t33 @t25)) % 53.50/53.71 (define @t468 () (tptp.class_Groups_Oab__semigroup__mult @t8)) % 53.50/53.71 (define @t469 () (tptp.c_Finite__Set_Ofold1 @t8 @t465)) % 53.50/53.71 (define @t470 () (tptp.hAPP @t469 @t25)) % 53.50/53.71 (define @t471 () (tptp.hAPP @t465 @t48)) % 53.50/53.71 (define @t472 () (= (tptp.hAPP @t469 @t55) (tptp.hAPP @t471 @t470))) % 53.50/53.71 (define @t473 () (tptp.c_Groups_Otimes__class_Otimes @t98)) % 53.50/53.71 (define @t474 () (tptp.hAPP @t473 @t200)) % 53.50/53.71 (define @t475 () (tptp.hAPP @t474 @t196)) % 53.50/53.71 (define @t476 () (tptp.hAPP @t473 @t197)) % 53.50/53.71 (define @t477 () (tptp.hAPP @t476 @t200)) % 53.50/53.71 (define @t478 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t98)) % 53.50/53.71 (define @t479 () (tptp.hAPP @t473 @t97)) % 53.50/53.71 (define @t480 () (tptp.hAPP @t479 @t97)) % 53.50/53.71 (define @t481 () (tptp.hAPP @t476 @t197)) % 53.50/53.71 (define @t482 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t8)) % 53.50/53.71 (define @t483 () (tptp.hAPP @t465 @t79)) % 53.50/53.71 (define @t484 () (= (tptp.hAPP @t469 @t131) (tptp.hAPP (tptp.hAPP @t465 @t470) (tptp.hAPP @t469 @t88)))) % 53.50/53.71 (define @t485 () (tptp.hAPP (tptp.hAPP @t465 @t3) @t429)) % 53.50/53.71 (define @t486 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29)) % 53.50/53.71 (define @t487 () (tptp.hAPP @t486 @t25)) % 53.50/53.71 (define @t488 () (tptp.hAPP @t487 @t88)) % 53.50/53.71 (define @t489 () (= @t488 @t30)) % 53.50/53.71 (define @t490 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t80)) % 53.50/53.71 (define @t491 () (tptp.hAPP @t490 @t25)) % 53.50/53.71 (define @t492 () (tptp.hAPP @t491 @t88)) % 53.50/53.71 (define @t493 () (tptp.hAPP @t64 @t492)) % 53.50/53.71 (define @t494 () (= @t493 @t447)) % 53.50/53.71 (define @t495 () (tptp.hBOOL (tptp.hAPP @t346 @t88))) % 53.50/53.71 (define @t496 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t8 @t49 @t2 @t79 @t1 @t64)) % 53.50/53.71 (define @t497 () (@list @t88 @t25 @t64 @t1 @t79 @t2 @t49 @t8)) % 53.50/53.71 (define @t498 () (tptp.c_Orderings_Oord__class_Oless__eq @t80)) % 53.50/53.71 (define @t499 () (tptp.hAPP @t498 @t88)) % 53.50/53.71 (define @t500 () (= (tptp.hAPP @t469 @t28) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t8 @t465) @t13) @t25))) % 53.50/53.71 (define @t501 () (tptp.hAPP @t273 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t243))) % 53.50/53.71 (define @t502 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t25)) % 53.50/53.71 (define @t503 () (tptp.c_Finite__Set_Ocard @t8)) % 53.50/53.71 (define @t504 () (tptp.hAPP @t503 @t25)) % 53.50/53.71 (define @t505 () (tptp.hAPP @t58 @t30)) % 53.50/53.71 (define @t506 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t507 () (tptp.hAPP @t503 @t243)) % 53.50/53.71 (define @t508 () (tptp.hBOOL (tptp.hAPP @t488 @t48))) % 53.50/53.71 (define @t509 () (tptp.hBOOL (tptp.hAPP @t105 @t488))) % 53.50/53.71 (define @t510 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98)) % 53.50/53.71 (define @t511 () (tptp.hAPP @t510 @t197)) % 53.50/53.71 (define @t512 () (tptp.class_Lattices_Osemilattice__inf @t98)) % 53.50/53.71 (define @t513 () (tptp.hAPP @t510 @t97)) % 53.50/53.71 (define @t514 () (= (tptp.hAPP @t513 @t97) @t97)) % 53.50/53.71 (define @t515 () (tptp.hAPP @t510 @t200)) % 53.50/53.71 (define @t516 () (tptp.hAPP @t511 @t200)) % 53.50/53.71 (define @t517 () (tptp.hAPP @t510 @t152)) % 53.50/53.71 (define @t518 () (tptp.hAPP @t517 @t97)) % 53.50/53.71 (define @t519 () (tptp.hAPP @t513 @t152)) % 53.50/53.71 (define @t520 () (= @t519 @t518)) % 53.50/53.71 (define @t521 () (= (tptp.hAPP @t513 @t519) @t519)) % 53.50/53.71 (define @t522 () (tptp.hAPP @t511 (tptp.hAPP @t515 @t196))) % 53.50/53.71 (define @t523 () (tptp.hAPP @t513 @t216)) % 53.50/53.71 (define @t524 () (tptp.hAPP @t517 @t216)) % 53.50/53.71 (define @t525 () (tptp.hAPP @t513 @t524)) % 53.50/53.71 (define @t526 () (= @t525 (tptp.hAPP @t517 @t523))) % 53.50/53.71 (define @t527 () (= (tptp.hAPP (tptp.hAPP @t510 @t519) @t216) @t525)) % 53.50/53.71 (define @t528 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8)) % 53.50/53.71 (define @t529 () (tptp.hAPP @t486 @t88)) % 53.50/53.71 (define @t530 () (tptp.hAPP @t529 @t25)) % 53.50/53.71 (define @t531 () (tptp.hAPP @t487 @t171)) % 53.50/53.71 (define @t532 () (tptp.hAPP @t529 @t171)) % 53.50/53.71 (define @t533 () (tptp.hAPP @t487 @t532)) % 53.50/53.71 (define @t534 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t528)) % 53.50/53.71 (define @t535 () (tptp.hAPP @t534 @t33)) % 53.50/53.71 (define @t536 () (tptp.hAPP @t535 @t25)) % 53.50/53.71 (define @t537 () (tptp.hAPP @t528 @t13)) % 53.50/53.71 (define @t538 () (tptp.class_Lattices_Osemilattice__inf @t8)) % 53.50/53.71 (define @t539 () (@list @t13 @t33 @t25 @t8)) % 53.50/53.71 (define @t540 () (tptp.hAPP @t503 @t488)) % 53.50/53.71 (define @t541 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t542 () (tptp.hAPP @t541 @t504)) % 53.50/53.71 (define @t543 () (tptp.hAPP @t503 @t92)) % 53.50/53.71 (define @t544 () (tptp.hAPP @t537 @t33)) % 53.50/53.71 (define @t545 () (@list @t33 @t13 @t25 @t8)) % 53.50/53.71 (define @t546 () (not (=> @t318 (not @t320)))) % 53.50/53.71 (define @t547 () (tptp.hBOOL (tptp.hAPP @t100 @t516))) % 53.50/53.71 (define @t548 () (tptp.hAPP @t99 @t516)) % 53.50/53.71 (define @t549 () (tptp.hBOOL (tptp.hAPP @t548 @t97))) % 53.50/53.71 (define @t550 () (@list @t197 @t97 @t200 @t98)) % 53.50/53.71 (define @t551 () (and @t164 @t314)) % 53.50/53.71 (define @t552 () (tptp.hAPP @t528 @t48)) % 53.50/53.71 (define @t553 () (tptp.hAPP @t552 @t57)) % 53.50/53.71 (define @t554 () (tptp.hAPP @t99 @t519)) % 53.50/53.71 (define @t555 () (tptp.hBOOL (tptp.hAPP @t554 @t152))) % 53.50/53.71 (define @t556 () (tptp.hBOOL (tptp.hAPP @t554 @t97))) % 53.50/53.71 (define @t557 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t516) @t97))) % 53.50/53.71 (define @t558 () (tptp.hBOOL (tptp.hAPP @t386 @t97))) % 53.50/53.71 (define @t559 () (tptp.hBOOL (tptp.hAPP @t384 @t97))) % 53.50/53.71 (define @t560 () (tptp.class_Lattices_Odistrib__lattice @t98)) % 53.50/53.71 (define @t561 () (@list @t97 @t216 @t152 @t98)) % 53.50/53.71 (define @t562 () (tptp.hAPP (tptp.hAPP @t510 @t290) @t301)) % 53.50/53.71 (define @t563 () (tptp.hAPP @t272 @t524)) % 53.50/53.71 (define @t564 () (tptp.hAPP (tptp.hAPP @t270 @t519) @t523)) % 53.50/53.71 (define @t565 () (tptp.hAPP @t513 @t288)) % 53.50/53.71 (define @t566 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t49 @t8 @t2) @t79)) % 53.50/53.71 (define @t567 () (@var "B_xa" $$unsorted)) % 53.50/53.71 (define @t568 () (= @t3 @t567)) % 53.50/53.71 (define @t569 () (not @t568)) % 53.50/53.71 (define @t570 () (tptp.hAPP @t75 @t567)) % 53.50/53.71 (define @t571 () (@list @t567)) % 53.50/53.71 (define @t572 () (tptp.hAPP @t27 @t488)) % 53.50/53.71 (define @t573 () (@list @t88 @t25 @t13 @t8)) % 53.50/53.71 (define @t574 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t137)) % 53.50/53.71 (define @t575 () (tptp.hAPP @t71 @t488)) % 53.50/53.71 (define @t576 () (tptp.hBOOL (tptp.hAPP @t255 @t25))) % 53.50/53.71 (define @t577 () (@list @t88 @t25 @t171 @t8)) % 53.50/53.71 (define @t578 () (tptp.hAPP @t486 @t171)) % 53.50/53.71 (define @t579 () (tptp.hAPP @t83 @t488)) % 53.50/53.71 (define @t580 () (tptp.hAPP @t487 @t173)) % 53.50/53.71 (define @t581 () (tptp.hAPP @t486 @t131)) % 53.50/53.71 (define @t582 () (tptp.hAPP @t578 @t25)) % 53.50/53.71 (define @t583 () (@list @t25 @t171 @t88 @t8)) % 53.50/53.71 (define @t584 () (tptp.hAPP @t228 @t25)) % 53.50/53.71 (define @t585 () (tptp.hAPP @t84 @t531)) % 53.50/53.71 (define @t586 () (tptp.hAPP @t585 @t532)) % 53.50/53.71 (define @t587 () (tptp.hAPP @t486 @t92)) % 53.50/53.71 (define @t588 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t55)) % 53.50/53.71 (define @t589 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t88)) % 53.50/53.71 (define @t590 () (tptp.hAPP (tptp.hAPP @t137 @t502) @t589)) % 53.50/53.71 (define @t591 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t131)) % 53.50/53.71 (define @t592 () (not @t489)) % 53.50/53.71 (define @t593 () (= @t591 @t590)) % 53.50/53.71 (define @t594 () (tptp.hAPP @t503 @t55)) % 53.50/53.71 (define @t595 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t596 () (tptp.hAPP @t595 @t504)) % 53.50/53.71 (define @t597 () (tptp.hAPP @t503 @t88)) % 53.50/53.71 (define @t598 () (tptp.hAPP @t542 @t597)) % 53.50/53.71 (define @t599 () (tptp.hAPP @t574 @t33)) % 53.50/53.71 (define @t600 () (tptp.hAPP @t599 @t25)) % 53.50/53.71 (define @t601 () (tptp.hAPP @t137 @t13)) % 53.50/53.71 (define @t602 () (tptp.hAPP (tptp.hAPP @t486 @t89) @t171)) % 53.50/53.71 (define @t603 () (tptp.hBOOL (tptp.hAPP @t117 @t171))) % 53.50/53.71 (define @t604 () (=> @t603 (= @t602 (tptp.hAPP @t27 @t532)))) % 53.50/53.71 (define @t605 () (@list @t88 @t171 @t13 @t8)) % 53.50/53.71 (define @t606 () (tptp.hAPP @t487 @t89)) % 53.50/53.71 (define @t607 () (=> @t118 (= @t606 @t572))) % 53.50/53.71 (define @t608 () (=> (not @t603) (= @t602 @t532))) % 53.50/53.71 (define @t609 () (=> @t251 (= @t606 @t488))) % 53.50/53.71 (define @t610 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t504) @t597))) % 53.50/53.71 (define @t611 () (tptp.hAPP @t83 @t92)) % 53.50/53.71 (define @t612 () (tptp.hAPP @t273 @t502)) % 53.50/53.71 (define @t613 () (tptp.hAPP @t601 @t33)) % 53.50/53.71 (define @t614 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t528) @t25)) % 53.50/53.71 (define @t615 () (tptp.hBOOL (tptp.hAPP @t163 @t3))) % 53.50/53.71 (define @t616 () (forall @t7 (=> @t183 @t615))) % 53.50/53.71 (define @t617 () (=> @t68 (= @t588 @t612))) % 53.50/53.71 (define @t618 () (tptp.c_Finite__Set_Ofold @t8 @t49 @t2)) % 53.50/53.71 (define @t619 () (tptp.hAPP @t618 @t79)) % 53.50/53.71 (define @t620 () (tptp.hAPP @t619 @t25)) % 53.50/53.71 (define @t621 () (tptp.hAPP @t94 @t620)) % 53.50/53.71 (define @t622 () (tptp.hAPP @t619 @t55)) % 53.50/53.71 (define @t623 () (= @t622 @t621)) % 53.50/53.71 (define @t624 () (@list @t48 @t79 @t25 @t2 @t49 @t8)) % 53.50/53.71 (define @t625 () (tptp.hAPP (tptp.hAPP @t618 @t232) @t25)) % 53.50/53.71 (define @t626 () (= @t622 @t625)) % 53.50/53.71 (define @t627 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t2)) % 53.50/53.71 (define @t628 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t80)) % 53.50/53.71 (define @t629 () (tptp.hAPP @t628 @t25)) % 53.50/53.71 (define @t630 () (tptp.hAPP @t629 @t88)) % 53.50/53.71 (define @t631 () (tptp.hAPP @t64 @t488)) % 53.50/53.71 (define @t632 () (tptp.hAPP @t94 (tptp.hAPP @t619 @t243))) % 53.50/53.71 (define @t633 () (tptp.c_Finite__Set_Ofun__left__comm @t8 @t49 @t2)) % 53.50/53.71 (define @t634 () (@list @t79 @t48 @t25 @t2 @t49 @t8)) % 53.50/53.71 (define @t635 () (tptp.hAPP (tptp.hAPP @t137 @t3) @t429)) % 53.50/53.71 (define @t636 () (tptp.hAPP @t552 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t243))) % 53.50/53.71 (define @t637 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t25)) % 53.50/53.71 (define @t638 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t639 () (=> @t149 (= @t507 (tptp.hAPP @t542 @t638)))) % 53.50/53.71 (define @t640 () (tptp.hAPP tptp.c_Nat_OSuc @t507)) % 53.50/53.71 (define @t641 () (tptp.c_Groups_Oone__class_Oone @t8)) % 53.50/53.71 (define @t642 () (= @t48 @t641)) % 53.50/53.71 (define @t643 () (tptp.hAPP @t2 @t57)) % 53.50/53.71 (define @t644 () (@list @t79 @t57 @t48 @t2 @t49 @t8)) % 53.50/53.71 (define @t645 () (tptp.c_Groups_Oone__class_Oone @t98)) % 53.50/53.71 (define @t646 () (= (tptp.hAPP @t476 @t645) @t197)) % 53.50/53.71 (define @t647 () (tptp.class_Groups_Ocomm__monoid__mult @t98)) % 53.50/53.71 (define @t648 () (tptp.class_Groups_Omonoid__mult @t98)) % 53.50/53.71 (define @t649 () (= (tptp.hAPP (tptp.hAPP @t473 @t645) @t197) @t197)) % 53.50/53.71 (define @t650 () (tptp.hAPP @t552 @t637)) % 53.50/53.71 (define @t651 () (=> @t241 (= @t594 (tptp.hAPP tptp.c_Nat_OSuc @t504)))) % 53.50/53.71 (define @t652 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t55)) % 53.50/53.71 (define @t653 () (=> @t68 (= @t652 @t650))) % 53.50/53.71 (define @t654 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t88)) % 53.50/53.71 (define @t655 () (tptp.hAPP (tptp.hAPP @t528 @t637) @t654)) % 53.50/53.71 (define @t656 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t131)) % 53.50/53.71 (define @t657 () (= @t656 @t655)) % 53.50/53.71 (define @t658 () (@var "V_n" $$unsorted)) % 53.50/53.71 (define @t659 () (tptp.hAPP tptp.c_Nat_OSuc @t658)) % 53.50/53.71 (define @t660 () (tptp.hAPP @t506 @t658)) % 53.50/53.71 (define @t661 () (@list @t658)) % 53.50/53.71 (define @t662 () (@var "V_m" $$unsorted)) % 53.50/53.71 (define @t663 () (tptp.hAPP tptp.c_Nat_OSuc @t662)) % 53.50/53.71 (define @t664 () (tptp.hAPP @t506 @t663)) % 53.50/53.71 (define @t665 () (tptp.hBOOL (tptp.hAPP @t664 @t659))) % 53.50/53.71 (define @t666 () (tptp.hAPP @t506 @t662)) % 53.50/53.71 (define @t667 () (tptp.hBOOL (tptp.hAPP @t666 @t658))) % 53.50/53.71 (define @t668 () (@list @t658 @t662)) % 53.50/53.71 (define @t669 () (tptp.hAPP @t541 @t662)) % 53.50/53.71 (define @t670 () (tptp.hAPP @t669 @t638)) % 53.50/53.71 (define @t671 () (@list @t196 @t200 @t197)) % 53.50/53.71 (define @t672 () (@var "V_n_2" $$unsorted)) % 53.50/53.71 (define @t673 () (@var "V_m_2" $$unsorted)) % 53.50/53.71 (define @t674 () (tptp.hAPP @t506 @t673)) % 53.50/53.71 (define @t675 () (tptp.hBOOL (tptp.hAPP @t674 @t672))) % 53.50/53.71 (define @t676 () (@var "V_k_2" $$unsorted)) % 53.50/53.71 (define @t677 () (tptp.hAPP @t541 @t672)) % 53.50/53.71 (define @t678 () (tptp.hAPP @t677 @t676)) % 53.50/53.71 (define @t679 () (tptp.hAPP @t541 @t673)) % 53.50/53.71 (define @t680 () (tptp.hAPP @t679 @t676)) % 53.50/53.71 (define @t681 () (tptp.hAPP @t595 @t676)) % 53.50/53.71 (define @t682 () (tptp.hBOOL (tptp.hAPP @t681 @t672))) % 53.50/53.71 (define @t683 () (tptp.hBOOL (tptp.hAPP @t681 @t673))) % 53.50/53.71 (define @t684 () (@list @t672 @t673 @t676)) % 53.50/53.71 (define @t685 () (tptp.hAPP @t669 @t658)) % 53.50/53.71 (define @t686 () (tptp.hAPP @t541 @t663)) % 53.50/53.71 (define @t687 () (tptp.hAPP @t686 @t658)) % 53.50/53.71 (define @t688 () (tptp.hAPP @t595 @t658)) % 53.50/53.71 (define @t689 () (tptp.hBOOL (tptp.hAPP @t688 @t662))) % 53.50/53.71 (define @t690 () (@list @t662 @t658)) % 53.50/53.71 (define @t691 () (tptp.hAPP @t506 @t685)) % 53.50/53.71 (define @t692 () (tptp.hAPP tptp.c_Nat_OSuc @t672)) % 53.50/53.71 (define @t693 () (tptp.hAPP @t595 @t692)) % 53.50/53.71 (define @t694 () (tptp.hBOOL (tptp.hAPP @t693 @t673))) % 53.50/53.71 (define @t695 () (tptp.hAPP @t506 @t672)) % 53.50/53.71 (define @t696 () (tptp.hBOOL (tptp.hAPP @t695 @t673))) % 53.50/53.71 (define @t697 () (@list @t673 @t672)) % 53.50/53.71 (define @t698 () (tptp.hAPP @t595 @t673)) % 53.50/53.71 (define @t699 () (tptp.hBOOL (tptp.hAPP @t698 @t672))) % 53.50/53.71 (define @t700 () (tptp.hBOOL (tptp.hAPP @t674 @t692))) % 53.50/53.71 (define @t701 () (@list @t672 @t673)) % 53.50/53.71 (define @t702 () (= @t673 @t672)) % 53.50/53.71 (define @t703 () (tptp.hAPP tptp.c_Nat_OSuc @t676)) % 53.50/53.71 (define @t704 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t705 () (tptp.hAPP @t704 @t703)) % 53.50/53.71 (define @t706 () (tptp.hAPP @t705 @t672)) % 53.50/53.71 (define @t707 () (tptp.hAPP @t705 @t673)) % 53.50/53.71 (define @t708 () (@list @t152 @t97)) % 53.50/53.71 (define @t709 () (@var "V_nat_H_2" $$unsorted)) % 53.50/53.71 (define @t710 () (@var "V_nat_2" $$unsorted)) % 53.50/53.71 (define @t711 () (tptp.hAPP tptp.c_Nat_OSuc @t710)) % 53.50/53.71 (define @t712 () (tptp.hAPP @t178 @t672)) % 53.50/53.71 (define @t713 () (tptp.hBOOL (tptp.hAPP @t712 @t673))) % 53.50/53.71 (define @t714 () (@var "V_t" $$unsorted)) % 53.50/53.71 (define @t715 () (@var "V_s" $$unsorted)) % 53.50/53.71 (define @t716 () (= @t662 @t658)) % 53.50/53.71 (define @t717 () (not @t716)) % 53.50/53.71 (define @t718 () (tptp.hBOOL (tptp.hAPP @t660 @t662))) % 53.50/53.71 (define @t719 () (tptp.hAPP @t506 @t97)) % 53.50/53.71 (define @t720 () (tptp.hBOOL (tptp.hAPP @t719 @t152))) % 53.50/53.71 (define @t721 () (not @t702)) % 53.50/53.71 (define @t722 () (tptp.hAPP @t704 @t662)) % 53.50/53.71 (define @t723 () (tptp.hAPP @t722 @t662)) % 53.50/53.71 (define @t724 () (tptp.hAPP @t595 @t662)) % 53.50/53.71 (define @t725 () (@list @t662)) % 53.50/53.71 (define @t726 () (@var "V_k" $$unsorted)) % 53.50/53.71 (define @t727 () (@var "V_j" $$unsorted)) % 53.50/53.71 (define @t728 () (tptp.hAPP @t704 @t727)) % 53.50/53.71 (define @t729 () (tptp.hAPP @t728 @t726)) % 53.50/53.71 (define @t730 () (@var "V_i" $$unsorted)) % 53.50/53.71 (define @t731 () (tptp.hAPP @t704 @t730)) % 53.50/53.71 (define @t732 () (tptp.hAPP @t731 @t726)) % 53.50/53.71 (define @t733 () (tptp.hAPP @t595 @t732)) % 53.50/53.71 (define @t734 () (tptp.hAPP @t595 @t730)) % 53.50/53.71 (define @t735 () (tptp.hBOOL (tptp.hAPP @t734 @t727))) % 53.50/53.71 (define @t736 () (@list @t726 @t727 @t730)) % 53.50/53.71 (define @t737 () (tptp.hAPP @t704 @t726)) % 53.50/53.71 (define @t738 () (tptp.hAPP @t737 @t727)) % 53.50/53.71 (define @t739 () (tptp.hAPP @t737 @t730)) % 53.50/53.71 (define @t740 () (@var "V_l" $$unsorted)) % 53.50/53.71 (define @t741 () (tptp.hAPP @t595 @t726)) % 53.50/53.71 (define @t742 () (tptp.hBOOL (tptp.hAPP @t741 @t740))) % 53.50/53.71 (define @t743 () (@list @t740 @t726 @t727 @t730)) % 53.50/53.71 (define @t744 () (tptp.hBOOL (tptp.hAPP @t724 @t658))) % 53.50/53.71 (define @t745 () (tptp.hAPP @t595 @t727)) % 53.50/53.71 (define @t746 () (tptp.hAPP @t737 @t658)) % 53.50/53.71 (define @t747 () (tptp.hAPP @t737 @t662)) % 53.50/53.71 (define @t748 () (@list @t658 @t662 @t726)) % 53.50/53.71 (define @t749 () (tptp.hAPP @t704 @t658)) % 53.50/53.71 (define @t750 () (tptp.hAPP @t749 @t726)) % 53.50/53.71 (define @t751 () (tptp.hAPP @t722 @t726)) % 53.50/53.71 (define @t752 () (@list @t726 @t658 @t662)) % 53.50/53.71 (define @t753 () (tptp.hAPP @t541 @t730)) % 53.50/53.71 (define @t754 () (tptp.hAPP @t753 @t727)) % 53.50/53.71 (define @t755 () (tptp.hAPP (tptp.hAPP @t541 @t754) @t726)) % 53.50/53.71 (define @t756 () (= @t673 @t638)) % 53.50/53.71 (define @t757 () (and @t756 (= @t672 @t638))) % 53.50/53.71 (define @t758 () (tptp.hAPP @t704 @t673)) % 53.50/53.71 (define @t759 () (tptp.hAPP @t758 @t672)) % 53.50/53.71 (define @t760 () (tptp.hBOOL (tptp.hAPP @t664 @t658))) % 53.50/53.71 (define @t761 () (not @t667)) % 53.50/53.71 (define @t762 () (tptp.hBOOL (tptp.hAPP @t666 @t659))) % 53.50/53.71 (define @t763 () (tptp.hAPP tptp.c_Nat_OSuc @t730)) % 53.50/53.71 (define @t764 () (tptp.hAPP @t506 @t727)) % 53.50/53.71 (define @t765 () (tptp.hBOOL (tptp.hAPP @t764 @t726))) % 53.50/53.71 (define @t766 () (tptp.hAPP @t506 @t730)) % 53.50/53.71 (define @t767 () (tptp.hBOOL (tptp.hAPP @t766 @t727))) % 53.50/53.71 (define @t768 () (= @t672 @t673)) % 53.50/53.71 (define @t769 () (tptp.hAPP tptp.c_Nat_OSuc @t673)) % 53.50/53.71 (define @t770 () (tptp.hBOOL (tptp.hAPP @t695 @t769))) % 53.50/53.71 (define @t771 () (= @t770 @t768)) % 53.50/53.71 (define @t772 () (not @t696)) % 53.50/53.71 (define @t773 () (or @t675 @t702)) % 53.50/53.71 (define @t774 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t663) @t658))) % 53.50/53.71 (define @t775 () (tptp.hBOOL (tptp.hAPP @t724 @t659))) % 53.50/53.71 (define @t776 () (tptp.hAPP @t595 @t672)) % 53.50/53.71 (define @t777 () (tptp.hBOOL (tptp.hAPP @t776 @t673))) % 53.50/53.71 (define @t778 () (tptp.hBOOL (tptp.hAPP @t698 @t692))) % 53.50/53.71 (define @t779 () (not @t699)) % 53.50/53.71 (define @t780 () (tptp.hAPP @t541 @t740)) % 53.50/53.71 (define @t781 () (tptp.hAPP @t780 @t662)) % 53.50/53.71 (define @t782 () (tptp.hAPP @t780 @t658)) % 53.50/53.71 (define @t783 () (@list @t740 @t658 @t662)) % 53.50/53.71 (define @t784 () (tptp.hAPP @t541 @t727)) % 53.50/53.71 (define @t785 () (tptp.hAPP @t541 @t658)) % 53.50/53.71 (define @t786 () (tptp.hBOOL (tptp.hAPP @t741 @t658))) % 53.50/53.71 (define @t787 () (tptp.hAPP @t785 @t730)) % 53.50/53.71 (define @t788 () (@list @t658 @t730)) % 53.50/53.71 (define @t789 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t769) @t672))) % 53.50/53.71 (define @t790 () (tptp.hAPP @t366 @t645)) % 53.50/53.71 (define @t791 () (tptp.class_Rings_Olinordered__semidom @t98)) % 53.50/53.71 (define @t792 () (@list @t658 @t662 @t98)) % 53.50/53.71 (define @t793 () (@var "B_y_H" $$unsorted)) % 53.50/53.71 (define @t794 () (tptp.hAPP @t2 @t13)) % 53.50/53.71 (define @t795 () (tptp.hAPP (tptp.hAPP @t528 @t3) @t429)) % 53.50/53.71 (define @t796 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t797 () (tptp.hAPP @t796 @t638)) % 53.50/53.71 (define @t798 () (tptp.hAPP @t797 @t507)) % 53.50/53.71 (define @t799 () (tptp.hAPP @t595 @t97)) % 53.50/53.71 (define @t800 () (tptp.hBOOL (tptp.hAPP @t799 @t152))) % 53.50/53.71 (define @t801 () (tptp.class_Rings_Ocomm__semiring__1 @t98)) % 53.50/53.71 (define @t802 () (tptp.c_Groups_Oone__class_Oone @t49)) % 53.50/53.71 (define @t803 () (tptp.c_Groups_Otimes__class_Otimes @t49)) % 53.50/53.71 (define @t804 () (tptp.c_Finite__Set_Ofold__image @t49 @t8 @t803)) % 53.50/53.71 (define @t805 () (tptp.hAPP @t804 @t1)) % 53.50/53.71 (define @t806 () (tptp.hAPP @t805 @t802)) % 53.50/53.71 (define @t807 () (tptp.hAPP @t806 @t25)) % 53.50/53.71 (define @t808 () (tptp.hAPP @t803 @t807)) % 53.50/53.71 (define @t809 () (tptp.hAPP @t808 (tptp.hAPP @t806 @t88))) % 53.50/53.71 (define @t810 () (tptp.hAPP @t806 @t131)) % 53.50/53.71 (define @t811 () (tptp.class_Groups_Ocomm__monoid__mult @t49)) % 53.50/53.71 (define @t812 () (@list @t1 @t88 @t25 @t8 @t49)) % 53.50/53.71 (define @t813 () (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t25)) % 53.50/53.71 (define @t814 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t8)) % 53.50/53.71 (define @t815 () (tptp.hAPP @t749 @t662)) % 53.50/53.71 (define @t816 () (tptp.hAPP @t722 @t658)) % 53.50/53.71 (define @t817 () (tptp.hAPP @t796 @t662)) % 53.50/53.71 (define @t818 () (tptp.hAPP @t817 @t658)) % 53.50/53.71 (define @t819 () (tptp.hAPP @t796 @t672)) % 53.50/53.71 (define @t820 () (tptp.hAPP @t819 @t676)) % 53.50/53.71 (define @t821 () (tptp.hAPP @t796 @t673)) % 53.50/53.71 (define @t822 () (tptp.hAPP @t821 @t676)) % 53.50/53.71 (define @t823 () (@list @t672 @t676 @t673)) % 53.50/53.71 (define @t824 () (tptp.hAPP @t796 @t676)) % 53.50/53.71 (define @t825 () (tptp.hAPP @t824 @t672)) % 53.50/53.71 (define @t826 () (tptp.hAPP @t824 @t673)) % 53.50/53.71 (define @t827 () (tptp.hAPP @t796 @t658)) % 53.50/53.71 (define @t828 () (tptp.hAPP @t827 @t726)) % 53.50/53.71 (define @t829 () (tptp.hAPP @t796 @t97)) % 53.50/53.71 (define @t830 () (tptp.hAPP @t796 @t152)) % 53.50/53.71 (define @t831 () (tptp.hAPP @t830 @t216)) % 53.50/53.71 (define @t832 () (@list @t216 @t152 @t97)) % 53.50/53.71 (define @t833 () (tptp.hAPP @t827 @t662)) % 53.50/53.71 (define @t834 () (tptp.c_Groups_Oplus__class_Oplus @t98)) % 53.50/53.71 (define @t835 () (tptp.hAPP @t834 @t196)) % 53.50/53.71 (define @t836 () (tptp.hAPP @t835 @t197)) % 53.50/53.71 (define @t837 () (tptp.hAPP @t834 @t200)) % 53.50/53.71 (define @t838 () (tptp.hAPP @t837 @t197)) % 53.50/53.71 (define @t839 () (tptp.class_Groups_Ocancel__semigroup__add @t98)) % 53.50/53.71 (define @t840 () (tptp.hAPP @t834 @t197)) % 53.50/53.71 (define @t841 () (tptp.hAPP @t840 @t196)) % 53.50/53.71 (define @t842 () (tptp.hAPP @t840 @t200)) % 53.50/53.71 (define @t843 () (=> (= @t842 @t841) @t212)) % 53.50/53.71 (define @t844 () (tptp.c_Groups_Oplus__class_Oplus @t8)) % 53.50/53.71 (define @t845 () (tptp.hAPP @t844 @t32)) % 53.50/53.71 (define @t846 () (tptp.hAPP @t845 @t13)) % 53.50/53.71 (define @t847 () (tptp.hAPP @t844 @t33)) % 53.50/53.71 (define @t848 () (tptp.hAPP @t847 @t13)) % 53.50/53.71 (define @t849 () (tptp.class_Groups_Ocancel__semigroup__add @t8)) % 53.50/53.71 (define @t850 () (tptp.hAPP @t844 @t13)) % 53.50/53.71 (define @t851 () (tptp.hAPP @t850 @t32)) % 53.50/53.71 (define @t852 () (tptp.hAPP @t850 @t33)) % 53.50/53.71 (define @t853 () (@list @t32 @t33 @t13 @t8)) % 53.50/53.71 (define @t854 () (tptp.hAPP @t837 @t196)) % 53.50/53.71 (define @t855 () (tptp.hAPP @t834 @t842)) % 53.50/53.71 (define @t856 () (tptp.hAPP @t855 @t196)) % 53.50/53.71 (define @t857 () (= @t856 (tptp.hAPP @t840 @t854))) % 53.50/53.71 (define @t858 () (tptp.hAPP @t835 @t284)) % 53.50/53.71 (define @t859 () (tptp.hAPP @t840 @t858)) % 53.50/53.71 (define @t860 () (@list @t284 @t196 @t197 @t98)) % 53.50/53.71 (define @t861 () (tptp.hAPP @t834 @t841)) % 53.50/53.71 (define @t862 () (tptp.hAPP @t837 @t284)) % 53.50/53.71 (define @t863 () (@list @t284 @t196 @t200 @t197 @t98)) % 53.50/53.71 (define @t864 () (tptp.hAPP @t479 @t216)) % 53.50/53.71 (define @t865 () (tptp.hAPP @t479 @t152)) % 53.50/53.71 (define @t866 () (tptp.hAPP @t834 @t152)) % 53.50/53.71 (define @t867 () (tptp.hAPP @t866 @t216)) % 53.50/53.71 (define @t868 () (tptp.hAPP @t465 @t33)) % 53.50/53.71 (define @t869 () (tptp.hAPP @t868 @t32)) % 53.50/53.71 (define @t870 () (tptp.hAPP @t465 @t13)) % 53.50/53.71 (define @t871 () (tptp.hAPP @t870 @t35)) % 53.50/53.71 (define @t872 () (tptp.hAPP @t870 @t32)) % 53.50/53.71 (define @t873 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t8)) % 53.50/53.71 (define @t874 () (tptp.hAPP @t476 @t196)) % 53.50/53.71 (define @t875 () (tptp.hAPP @t473 @t842)) % 53.50/53.71 (define @t876 () (= (tptp.hAPP @t875 @t196) (tptp.hAPP (tptp.hAPP @t834 @t874) @t475))) % 53.50/53.71 (define @t877 () (tptp.hAPP @t476 @t662)) % 53.50/53.71 (define @t878 () (tptp.hAPP @t834 @t877)) % 53.50/53.71 (define @t879 () (@var "V_e" $$unsorted)) % 53.50/53.71 (define @t880 () (= @t57 @t79)) % 53.50/53.71 (define @t881 () (@var "V_w_2" $$unsorted)) % 53.50/53.71 (define @t882 () (tptp.hAPP @t465 @t881)) % 53.50/53.71 (define @t883 () (tptp.hAPP @t471 @t79)) % 53.50/53.71 (define @t884 () (tptp.hAPP @t882 @t57)) % 53.50/53.71 (define @t885 () (tptp.hBOOL (tptp.hAPP @t719 @t831))) % 53.50/53.71 (define @t886 () (@list @t152 @t216 @t97)) % 53.50/53.71 (define @t887 () (tptp.hBOOL (tptp.hAPP @t799 @t831))) % 53.50/53.71 (define @t888 () (tptp.hAPP @t847 @t32)) % 53.50/53.71 (define @t889 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t8)) % 53.50/53.71 (define @t890 () (@list @t33 @t32 @t13 @t8)) % 53.50/53.71 (define @t891 () (tptp.hAPP @t845 @t33)) % 53.50/53.71 (define @t892 () (@list @t33 @t13 @t32 @t8)) % 53.50/53.71 (define @t893 () (tptp.hAPP @t99 @t841)) % 53.50/53.71 (define @t894 () (tptp.hBOOL (tptp.hAPP @t893 @t854))) % 53.50/53.71 (define @t895 () (tptp.class_Groups_Oordered__ab__semigroup__add @t98)) % 53.50/53.71 (define @t896 () (tptp.hAPP @t835 @t200)) % 53.50/53.71 (define @t897 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t836) @t896))) % 53.50/53.71 (define @t898 () (tptp.hBOOL (tptp.hAPP @t206 @t284))) % 53.50/53.71 (define @t899 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t98)) % 53.50/53.71 (define @t900 () (@list @t200 @t196 @t197 @t98)) % 53.50/53.71 (define @t901 () (@list @t200 @t197 @t196 @t98)) % 53.50/53.71 (define @t902 () (tptp.hAPP @t366 @t841)) % 53.50/53.71 (define @t903 () (tptp.hBOOL (tptp.hAPP @t902 @t854))) % 53.50/53.71 (define @t904 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t98)) % 53.50/53.71 (define @t905 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t836) @t896))) % 53.50/53.71 (define @t906 () (tptp.hBOOL (tptp.hAPP @t902 @t862))) % 53.50/53.71 (define @t907 () (tptp.hBOOL (tptp.hAPP @t391 @t284))) % 53.50/53.71 (define @t908 () (=> @t907 @t906)) % 53.50/53.71 (define @t909 () (tptp.c_Finite__Set_Ofinite @t29)) % 53.50/53.71 (define @t910 () (tptp.hBOOL (tptp.hAPP @t909 @t25))) % 53.50/53.71 (define @t911 () (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t25)) % 53.50/53.71 (define @t912 () (tptp.hBOOL (tptp.hAPP @t334 @t911))) % 53.50/53.71 (define @t913 () (tptp.c_Groups_Ominus__class_Ominus @t98)) % 53.50/53.71 (define @t914 () (tptp.hAPP @t913 @t197)) % 53.50/53.71 (define @t915 () (tptp.hAPP @t914 @t200)) % 53.50/53.71 (define @t916 () (tptp.class_Groups_Ogroup__add @t98)) % 53.50/53.71 (define @t917 () (tptp.hAPP @t913 @t842)) % 53.50/53.71 (define @t918 () (tptp.hAPP tptp.c_Nat_OSuc @t818)) % 53.50/53.71 (define @t919 () (tptp.hAPP @t817 @t659)) % 53.50/53.71 (define @t920 () (tptp.hAPP (tptp.hAPP @t796 @t663) @t658)) % 53.50/53.71 (define @t921 () (tptp.hAPP @t796 @t730)) % 53.50/53.71 (define @t922 () (tptp.hAPP @t921 @t727)) % 53.50/53.71 (define @t923 () (tptp.hAPP @t506 @t922)) % 53.50/53.71 (define @t924 () (@list @t727 @t730)) % 53.50/53.71 (define @t925 () (tptp.hAPP @t796 @t727)) % 53.50/53.71 (define @t926 () (tptp.hAPP @t925 @t730)) % 53.50/53.71 (define @t927 () (@list @t730 @t727)) % 53.50/53.71 (define @t928 () (tptp.hAPP @t925 @t662)) % 53.50/53.71 (define @t929 () (@list @t662 @t727 @t730)) % 53.50/53.71 (define @t930 () (tptp.hAPP @t817 @t727)) % 53.50/53.71 (define @t931 () (tptp.hAPP @t925 @t726)) % 53.50/53.71 (define @t932 () (tptp.hAPP @t921 @t726)) % 53.50/53.71 (define @t933 () (tptp.hAPP @t506 @t932)) % 53.50/53.71 (define @t934 () (tptp.hAPP @t925 @t740)) % 53.50/53.71 (define @t935 () (tptp.hAPP @t506 @t726)) % 53.50/53.71 (define @t936 () (tptp.hBOOL (tptp.hAPP @t935 @t740))) % 53.50/53.71 (define @t937 () (tptp.hAPP @t796 @t726)) % 53.50/53.71 (define @t938 () (tptp.hAPP @t937 @t658)) % 53.50/53.71 (define @t939 () (@var "B_k" $$unsorted)) % 53.50/53.71 (define @t940 () (tptp.hAPP @t821 @t939)) % 53.50/53.71 (define @t941 () (@list @t939)) % 53.50/53.71 (define @t942 () (tptp.hAPP @t595 @t932)) % 53.50/53.71 (define @t943 () (tptp.hAPP @t817 @t726)) % 53.50/53.71 (define @t944 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t943) @t658))) % 53.50/53.71 (define @t945 () (@list @t658 @t726 @t662)) % 53.50/53.71 (define @t946 () (tptp.hAPP @t541 @t833)) % 53.50/53.71 (define @t947 () (tptp.hAPP @t937 @t662)) % 53.50/53.71 (define @t948 () (tptp.hAPP @t541 @t943)) % 53.50/53.71 (define @t949 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t8 @t49 @t2) @t1)) % 53.50/53.71 (define @t950 () (tptp.hAPP @t949 @t79)) % 53.50/53.71 (define @t951 () (tptp.hAPP @t840 @t645)) % 53.50/53.71 (define @t952 () (@var "V_e_2" $$unsorted)) % 53.50/53.71 (define @t953 () (tptp.hAPP (tptp.hAPP @t844 (tptp.hAPP (tptp.hAPP @t465 (tptp.hAPP (tptp.hAPP @t267 @t33) @t13)) @t952)) @t35)) % 53.50/53.71 (define @t954 () (tptp.hAPP (tptp.hAPP @t844 (tptp.hAPP @t868 @t952)) @t35)) % 53.50/53.71 (define @t955 () (tptp.hAPP (tptp.hAPP @t844 (tptp.hAPP @t870 @t952)) @t32)) % 53.50/53.71 (define @t956 () (= @t955 @t954)) % 53.50/53.71 (define @t957 () (tptp.class_Rings_Oring @t8)) % 53.50/53.71 (define @t958 () (@list @t35 @t33 @t32 @t952 @t13 @t8)) % 53.50/53.71 (define @t959 () (tptp.hAPP (tptp.hAPP @t844 (tptp.hAPP (tptp.hAPP @t465 @t326) @t952)) @t32)) % 53.50/53.71 (define @t960 () (tptp.hAPP (tptp.hAPP @t473 @t951) @t662)) % 53.50/53.71 (define @t961 () (tptp.hAPP @t834 @t662)) % 53.50/53.71 (define @t962 () (tptp.hAPP @t834 @t645)) % 53.50/53.71 (define @t963 () (tptp.hAPP @t962 @t645)) % 53.50/53.71 (define @t964 () (tptp.hAPP @t473 @t963)) % 53.50/53.71 (define @t965 () (@list @t662 @t98)) % 53.50/53.71 (define @t966 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t955) @t954))) % 53.50/53.71 (define @t967 () (tptp.class_Rings_Oordered__ring @t8)) % 53.50/53.71 (define @t968 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t955) @t954))) % 53.50/53.71 (define @t969 () (@list @t662 @t730)) % 53.50/53.71 (define @t970 () (tptp.hAPP @t921 @t662)) % 53.50/53.71 (define @t971 () (@var "V_j_2" $$unsorted)) % 53.50/53.71 (define @t972 () (@var "V_i_2" $$unsorted)) % 53.50/53.71 (define @t973 () (tptp.hAPP @t796 @t972)) % 53.50/53.71 (define @t974 () (tptp.hAPP @t973 @t676)) % 53.50/53.71 (define @t975 () (tptp.hAPP @t541 @t971)) % 53.50/53.71 (define @t976 () (tptp.hAPP @t975 @t676)) % 53.50/53.71 (define @t977 () (tptp.hAPP @t506 @t972)) % 53.50/53.71 (define @t978 () (@list @t676 @t971 @t972)) % 53.50/53.71 (define @t979 () (= (tptp.hAPP @t827 @t685) @t662)) % 53.50/53.71 (define @t980 () (tptp.hAPP @t784 @t726)) % 53.50/53.71 (define @t981 () (tptp.hBOOL (tptp.hAPP @t741 @t727))) % 53.50/53.71 (define @t982 () (@list @t730 @t727 @t726)) % 53.50/53.71 (define @t983 () (tptp.hAPP @t595 @t971)) % 53.50/53.71 (define @t984 () (@list @t662 @t658 @t726)) % 53.50/53.71 (define @t985 () (tptp.hAPP (tptp.hAPP @t541 @t922) @t726)) % 53.50/53.71 (define @t986 () (tptp.hAPP @t921 @t980)) % 53.50/53.71 (define @t987 () (tptp.hAPP @t595 @t972)) % 53.50/53.71 (define @t988 () (tptp.hAPP @t975 @t972)) % 53.50/53.71 (define @t989 () (tptp.hBOOL (tptp.hAPP @t987 @t971))) % 53.50/53.71 (define @t990 () (tptp.hAPP (tptp.hAPP @t541 @t926) @t726)) % 53.50/53.71 (define @t991 () (tptp.hAPP (tptp.hAPP @t796 @t980) @t730)) % 53.50/53.71 (define @t992 () (tptp.hAPP @t797 @t658)) % 53.50/53.71 (define @t993 () (tptp.hAPP @t827 @t638)) % 53.50/53.71 (define @t994 () (tptp.hAPP @t950 @t25)) % 53.50/53.71 (define @t995 () (tptp.hAPP tptp.c_Nat_OSuc @t727)) % 53.50/53.71 (define @t996 () (tptp.hAPP tptp.c_Nat_OSuc @t980)) % 53.50/53.71 (define @t997 () (@list @t662 @t727 @t726)) % 53.50/53.71 (define @t998 () (tptp.class_Rings_Olinordered__idom @t98)) % 53.50/53.71 (define @t999 () (tptp.hAPP @t474 @t197)) % 53.50/53.71 (define @t1000 () (@var "V_ry" $$unsorted)) % 53.50/53.71 (define @t1001 () (@var "V_lx" $$unsorted)) % 53.50/53.71 (define @t1002 () (tptp.hAPP @t473 @t1001)) % 53.50/53.71 (define @t1003 () (@var "V_rx" $$unsorted)) % 53.50/53.71 (define @t1004 () (tptp.hAPP @t473 @t1003)) % 53.50/53.71 (define @t1005 () (tptp.hAPP @t1004 @t1000)) % 53.50/53.71 (define @t1006 () (tptp.hAPP @t1002 @t1005)) % 53.50/53.71 (define @t1007 () (@list @t1000 @t1003 @t1001 @t98)) % 53.50/53.71 (define @t1008 () (tptp.hAPP @t473 (tptp.hAPP @t1002 @t1003))) % 53.50/53.71 (define @t1009 () (@var "V_ly" $$unsorted)) % 53.50/53.71 (define @t1010 () (tptp.hAPP @t473 @t1009)) % 53.50/53.71 (define @t1011 () (tptp.hAPP @t473 (tptp.hAPP @t1002 @t1009))) % 53.50/53.71 (define @t1012 () (tptp.hAPP @t1011 @t1003)) % 53.50/53.71 (define @t1013 () (@list @t1003 @t1009 @t1001 @t98)) % 53.50/53.71 (define @t1014 () (tptp.hAPP @t1011 @t1005)) % 53.50/53.71 (define @t1015 () (@list @t1000 @t1003 @t1009 @t1001 @t98)) % 53.50/53.71 (define @t1016 () (tptp.hAPP @t796 @t504)) % 53.50/53.71 (define @t1017 () (tptp.hAPP @t1016 @t597)) % 53.50/53.71 (define @t1018 () (tptp.hAPP @t503 @t131)) % 53.50/53.71 (define @t1019 () (tptp.hAPP (tptp.hAPP @t796 @t1018) @t540)) % 53.50/53.71 (define @t1020 () (tptp.hAPP @t805 @t79)) % 53.50/53.71 (define @t1021 () (tptp.hAPP @t1020 @t25)) % 53.50/53.71 (define @t1022 () (tptp.class_Groups_Oab__semigroup__mult @t49)) % 53.50/53.71 (define @t1023 () (= @t1018 @t1017)) % 53.50/53.71 (define @t1024 () (@var "V_u_2" $$unsorted)) % 53.50/53.71 (define @t1025 () (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t704 @t988) @t1024)) @t672)) % 53.50/53.71 (define @t1026 () (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t704 @t971) @t1024)) @t672)) % 53.50/53.71 (define @t1027 () (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t704 @t972) @t1024)) @t673)) % 53.50/53.71 (define @t1028 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t1027) @t1026))) % 53.50/53.71 (define @t1029 () (@list @t672 @t673 @t1024 @t971 @t972)) % 53.50/53.71 (define @t1030 () (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t704 (tptp.hAPP (tptp.hAPP @t541 @t972) @t971)) @t1024)) @t673)) % 53.50/53.71 (define @t1031 () (tptp.hBOOL (tptp.hAPP @t983 @t972))) % 53.50/53.71 (define @t1032 () (@list @t672 @t673 @t1024 @t972 @t971)) % 53.50/53.71 (define @t1033 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t1027) @t1026))) % 53.50/53.71 (define @t1034 () (@var "V_u" $$unsorted)) % 53.50/53.71 (define @t1035 () (tptp.hAPP @t796 (tptp.hAPP @t728 @t1034))) % 53.50/53.71 (define @t1036 () (tptp.hAPP @t796 (tptp.hAPP @t731 @t1034))) % 53.50/53.71 (define @t1037 () (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP @t1036 @t662)) (tptp.hAPP @t1035 @t658))) % 53.50/53.71 (define @t1038 () (tptp.hBOOL (tptp.hAPP @t745 @t730))) % 53.50/53.71 (define @t1039 () (= @t1027 @t1026)) % 53.50/53.71 (define @t1040 () (tptp.hAPP @t784 @t730)) % 53.50/53.71 (define @t1041 () (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t171)) % 53.50/53.71 (define @t1042 () (tptp.hAPP @t75 @t25)) % 53.50/53.71 (define @t1043 () (tptp.hBOOL (tptp.hAPP @t1042 @t1041))) % 53.50/53.71 (define @t1044 () (tptp.hBOOL (tptp.hAPP @t1042 @t461))) % 53.50/53.71 (define @t1045 () (tptp.c_member @t29)) % 53.50/53.71 (define @t1046 () (tptp.hAPP @t1045 @t461)) % 53.50/53.71 (define @t1047 () (tptp.hBOOL (tptp.hAPP @t1046 @t171))) % 53.50/53.71 (define @t1048 () (tptp.tc_fun @t29 tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t1049 () (tptp.c_Orderings_Obot__class_Obot @t1048)) % 53.50/53.71 (define @t1050 () (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t88)) % 53.50/53.71 (define @t1051 () (tptp.c_Orderings_Oord__class_Oless__eq @t1048)) % 53.50/53.71 (define @t1052 () (tptp.hAPP @t1051 @t25)) % 53.50/53.71 (define @t1053 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t88) @t25))) % 53.50/53.71 (define @t1054 () (tptp.c_Set_Oinsert @t29)) % 53.50/53.71 (define @t1055 () (tptp.hAPP (tptp.hAPP @t1054 @t13) @t88)) % 53.50/53.71 (define @t1056 () (tptp.hAPP (tptp.hAPP @t1054 @t25) (tptp.hAPP (tptp.hAPP @t1054 @t88) @t1049))) % 53.50/53.71 (define @t1057 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1048)) % 53.50/53.71 (define @t1058 () (tptp.hAPP (tptp.hAPP @t1057 @t25) @t88)) % 53.50/53.71 (define @t1059 () (tptp.hAPP @t486 @t3)) % 53.50/53.71 (define @t1060 () (tptp.hAPP @t1045 @t3)) % 53.50/53.71 (define @t1061 () (@list @t25 @t171 @t8)) % 53.50/53.71 (define @t1062 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1048)) % 53.50/53.71 (define @t1063 () (tptp.hAPP (tptp.hAPP @t1062 @t25) @t88)) % 53.50/53.71 (define @t1064 () (tptp.hAPP @t160 @t3)) % 53.50/53.71 (define @t1065 () (forall @t7 (=> @t183 (tptp.hBOOL (tptp.hAPP @t1064 @t33))))) % 53.50/53.71 (define @t1066 () (@list @t33 @t25 @t8)) % 53.50/53.71 (define @t1067 () (@var "V_S_2" $$unsorted)) % 53.50/53.71 (define @t1068 () (tptp.hBOOL (tptp.hAPP @t181 @t1067))) % 53.50/53.71 (define @t1069 () (and @t814 @t374)) % 53.50/53.71 (define @t1070 () (tptp.hAPP @t64 @t1)) % 53.50/53.71 (define @t1071 () (tptp.hAPP @t1070 @t25)) % 53.50/53.71 (define @t1072 () (=> (not @t347) (= @t1071 @t79))) % 53.50/53.71 (define @t1073 () (=> @t347 (= @t1071 @t994))) % 53.50/53.71 (define @t1074 () (tptp.c_Big__Operators_Ocomm__monoid__big @t8 @t49 @t2 @t79 @t64)) % 53.50/53.71 (define @t1075 () (@list @t1 @t25 @t64 @t79 @t2 @t49 @t8)) % 53.50/53.71 (define @t1076 () (@var "V_T_2" $$unsorted)) % 53.50/53.71 (define @t1077 () (tptp.hAPP (tptp.hAPP @t804 @t2) @t802)) % 53.50/53.71 (define @t1078 () (tptp.hAPP @t1077 @t1067)) % 53.50/53.71 (define @t1079 () (tptp.hAPP (tptp.hAPP @t83 @t1067) @t1076)) % 53.50/53.71 (define @t1080 () (= @t5 @t802)) % 53.50/53.71 (define @t1081 () (tptp.hBOOL (tptp.hAPP @t181 (tptp.hAPP (tptp.hAPP @t486 @t1067) @t1076)))) % 53.50/53.71 (define @t1082 () (forall @t7 (=> @t1081 @t1080))) % 53.50/53.71 (define @t1083 () (tptp.hBOOL (tptp.hAPP @t334 @t1076))) % 53.50/53.71 (define @t1084 () (tptp.hBOOL (tptp.hAPP @t334 @t1067))) % 53.50/53.71 (define @t1085 () (@list @t2 @t1076 @t1067 @t8 @t49)) % 53.50/53.71 (define @t1086 () (@var "B_M" $$unsorted)) % 53.50/53.71 (define @t1087 () (tptp.hAPP @t343 @t3)) % 53.50/53.71 (define @t1088 () (@var "V_v_2" $$unsorted)) % 53.50/53.71 (define @t1089 () (@list @t429)) % 53.50/53.71 (define @t1090 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t49)) % 53.50/53.71 (define @t1091 () (tptp.hAPP @t1090 @t2)) % 53.50/53.71 (define @t1092 () (tptp.hAPP @t1091 @t25)) % 53.50/53.71 (define @t1093 () (tptp.hAPP @t1091 @t86)) % 53.50/53.71 (define @t1094 () (tptp.c_Groups_Ominus__class_Ominus @t49)) % 53.50/53.71 (define @t1095 () (tptp.hAPP @t1094 @t1092)) % 53.50/53.71 (define @t1096 () (=> @t118 (= @t1093 (tptp.hAPP @t1095 @t794)))) % 53.50/53.71 (define @t1097 () (tptp.class_Groups_Oab__group__add @t49)) % 53.50/53.71 (define @t1098 () (@list @t2 @t13 @t25 @t8 @t49)) % 53.50/53.71 (define @t1099 () (tptp.c_Groups_Oplus__class_Oplus @t49)) % 53.50/53.71 (define @t1100 () (tptp.hAPP @t1099 @t794)) % 53.50/53.71 (define @t1101 () (tptp.class_Groups_Ocomm__monoid__add @t49)) % 53.50/53.71 (define @t1102 () (tptp.hAPP @t1090 @t1)) % 53.50/53.71 (define @t1103 () (tptp.hAPP @t1099 @t187)) % 53.50/53.71 (define @t1104 () (tptp.hAPP @t1103 (tptp.hAPP @t1102 @t243))) % 53.50/53.71 (define @t1105 () (tptp.hAPP @t1102 @t25)) % 53.50/53.71 (define @t1106 () (@list @t1 @t48 @t25 @t8 @t49)) % 53.50/53.71 (define @t1107 () (tptp.hAPP @t1102 @t55)) % 53.50/53.71 (define @t1108 () (tptp.hAPP @t1099 @t1105)) % 53.50/53.71 (define @t1109 () (tptp.hAPP @t1108 (tptp.hAPP @t1102 @t88))) % 53.50/53.71 (define @t1110 () (tptp.hAPP @t1102 @t131)) % 53.50/53.71 (define @t1111 () (tptp.hAPP @t1091 @t88)) % 53.50/53.71 (define @t1112 () (@list @t2 @t88 @t25 @t8 @t49)) % 53.50/53.71 (define @t1113 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t1114 () (tptp.hAPP @t1113 @t2)) % 53.50/53.71 (define @t1115 () (tptp.hAPP @t1114 @t88)) % 53.50/53.71 (define @t1116 () (tptp.hAPP @t1114 @t25)) % 53.50/53.71 (define @t1117 () (tptp.hAPP @t541 @t1116)) % 53.50/53.71 (define @t1118 () (@list @t48 @t1 @t25 @t8 @t49)) % 53.50/53.71 (define @t1119 () (= @t1110 @t1109)) % 53.50/53.71 (define @t1120 () (tptp.hAPP @t1091 @t488)) % 53.50/53.71 (define @t1121 () (tptp.hAPP @t1114 @t86)) % 53.50/53.71 (define @t1122 () (tptp.hAPP (tptp.hAPP @t1054 @t48) @t64)) % 53.50/53.71 (define @t1123 () (tptp.hAPP @t1045 @t48)) % 53.50/53.71 (define @t1124 () (tptp.c_Predicate_OPowp @t8 @t25)) % 53.50/53.71 (define @t1125 () (tptp.c_Orderings_Oord__class_Oless @t49)) % 53.50/53.71 (define @t1126 () (@list @t1 @t2 @t25 @t8 @t49)) % 53.50/53.71 (define @t1127 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 @t49)) % 53.50/53.71 (define @t1128 () (tptp.hAPP @t1127 @t1)) % 53.50/53.71 (define @t1129 () (tptp.hAPP @t803 @t187)) % 53.50/53.71 (define @t1130 () (tptp.hAPP @t1129 (tptp.hAPP @t1128 @t243))) % 53.50/53.71 (define @t1131 () (tptp.hAPP @t1128 @t25)) % 53.50/53.71 (define @t1132 () (@var "V_v" $$unsorted)) % 53.50/53.71 (define @t1133 () (tptp.hAPP (tptp.hAPP @t834 (tptp.hAPP (tptp.hAPP @t473 @t1034) @t97)) (tptp.hAPP (tptp.hAPP @t473 @t1132) @t152))) % 53.50/53.71 (define @t1134 () (= (tptp.hAPP (tptp.hAPP @t834 @t1034) @t1132) @t645)) % 53.50/53.71 (define @t1135 () (tptp.c_Groups_Ozero__class_Ozero @t98)) % 53.50/53.71 (define @t1136 () (tptp.hAPP @t99 @t1135)) % 53.50/53.71 (define @t1137 () (tptp.hBOOL (tptp.hAPP @t1136 @t1132))) % 53.50/53.71 (define @t1138 () (tptp.hBOOL (tptp.hAPP @t1136 @t1034))) % 53.50/53.71 (define @t1139 () (@list @t1132 @t1034 @t152 @t197 @t97 @t98)) % 53.50/53.71 (define @t1140 () (tptp.c_Finite__Set_Ocard @t29)) % 53.50/53.71 (define @t1141 () (tptp.hAPP @t704 @t676)) % 53.50/53.71 (define @t1142 () (@var "B_c2" $$unsorted)) % 53.50/53.71 (define @t1143 () (@var "B_c1" $$unsorted)) % 53.50/53.71 (define @t1144 () (@var "B_c" $$unsorted)) % 53.50/53.71 (define @t1145 () (@list @t2 @t1067 @t8 @t49)) % 53.50/53.71 (define @t1146 () (tptp.c_Finite__Set_Ocard @t49)) % 53.50/53.71 (define @t1147 () (tptp.hAPP @t1146 @t88)) % 53.50/53.71 (define @t1148 () (tptp.c_Sum__Type_OPlus @t8 @t49 @t25 @t88)) % 53.50/53.71 (define @t1149 () (tptp.tc_sum @t8 @t49)) % 53.50/53.71 (define @t1150 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t1149) @t1148)) % 53.50/53.71 (define @t1151 () (= @t1150 (tptp.hAPP @t1016 @t1147))) % 53.50/53.71 (define @t1152 () (@list @t88 @t49 @t25 @t8)) % 53.50/53.71 (define @t1153 () (@var "V_h_2" $$unsorted)) % 53.50/53.71 (define @t1154 () (tptp.hAPP @t804 @t1153)) % 53.50/53.71 (define @t1155 () (tptp.hAPP @t1153 @t3)) % 53.50/53.71 (define @t1156 () (= @t4 @t1155)) % 53.50/53.71 (define @t1157 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t1158 () (tptp.hAPP @t595 @t1157)) % 53.50/53.71 (define @t1159 () (tptp.hAPP @t506 @t1157)) % 53.50/53.71 (define @t1160 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 53.50/53.71 (define @t1161 () (= @t48 @t1160)) % 53.50/53.71 (define @t1162 () (tptp.c_Groups_Ozero__class_Ozero @t49)) % 53.50/53.71 (define @t1163 () (= @t5 @t1162)) % 53.50/53.71 (define @t1164 () (exists @t7 (and @t183 @t1163))) % 53.50/53.71 (define @t1165 () (tptp.hAPP @t1127 @t2)) % 53.50/53.71 (define @t1166 () (tptp.hAPP @t1165 @t25)) % 53.50/53.71 (define @t1167 () (= @t1166 @t1162)) % 53.50/53.71 (define @t1168 () (tptp.class_Rings_Ocomm__semiring__1 @t49)) % 53.50/53.71 (define @t1169 () (@list @t2 @t25 @t8 @t49)) % 53.50/53.71 (define @t1170 () (tptp.hBOOL (tptp.hAPP @t1159 @t5))) % 53.50/53.71 (define @t1171 () (forall @t7 (=> @t1068 @t1170))) % 53.50/53.71 (define @t1172 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t1173 () (tptp.hAPP @t1172 @t2)) % 53.50/53.71 (define @t1174 () (tptp.hBOOL (tptp.hAPP @t1159 (tptp.hAPP @t1173 @t1067)))) % 53.50/53.71 (define @t1175 () (@list @t2 @t1067 @t8)) % 53.50/53.71 (define @t1176 () (= @t13 @t1160)) % 53.50/53.71 (define @t1177 () (= (tptp.hAPP @t840 @t1135) @t197)) % 53.50/53.71 (define @t1178 () (tptp.hAPP @t834 @t1135)) % 53.50/53.71 (define @t1179 () (= (tptp.hAPP @t1178 @t197) @t197)) % 53.50/53.71 (define @t1180 () (tptp.class_Groups_Omonoid__add @t98)) % 53.50/53.71 (define @t1181 () (tptp.class_Groups_Ocomm__monoid__add @t98)) % 53.50/53.71 (define @t1182 () (tptp.hAPP @t850 @t13)) % 53.50/53.71 (define @t1183 () (tptp.class_Groups_Olinordered__ab__group__add @t8)) % 53.50/53.71 (define @t1184 () (= @t200 @t1135)) % 53.50/53.71 (define @t1185 () (= @t197 @t1135)) % 53.50/53.71 (define @t1186 () (= @t477 @t1135)) % 53.50/53.71 (define @t1187 () (tptp.class_Rings_Ono__zero__divisors @t98)) % 53.50/53.71 (define @t1188 () (not @t1184)) % 53.50/53.71 (define @t1189 () (not @t1185)) % 53.50/53.71 (define @t1190 () (= @t33 @t1160)) % 53.50/53.71 (define @t1191 () (tptp.hAPP @t870 @t33)) % 53.50/53.71 (define @t1192 () (= (tptp.hAPP @t476 @t1135) @t1135)) % 53.50/53.71 (define @t1193 () (tptp.class_Rings_Omult__zero @t98)) % 53.50/53.71 (define @t1194 () (= (tptp.hAPP (tptp.hAPP @t473 @t1135) @t197) @t1135)) % 53.50/53.71 (define @t1195 () (= @t326 @t1160)) % 53.50/53.71 (define @t1196 () (tptp.class_Groups_Ogroup__add @t8)) % 53.50/53.71 (define @t1197 () (tptp.class_Rings_Ozero__neq__one @t98)) % 53.50/53.71 (define @t1198 () (@list @t98)) % 53.50/53.71 (define @t1199 () (tptp.hBOOL (tptp.hAPP @t181 @t64))) % 53.50/53.71 (define @t1200 () (@list @t2 @t64 @t8)) % 53.50/53.71 (define @t1201 () (@var "V_nat_H_1" $$unsorted)) % 53.50/53.71 (define @t1202 () (@var "V_nat_H" $$unsorted)) % 53.50/53.71 (define @t1203 () (tptp.hBOOL (tptp.hAPP @t1159 @t658))) % 53.50/53.71 (define @t1204 () (= @t658 @t1157)) % 53.50/53.71 (define @t1205 () (not @t1204)) % 53.50/53.71 (define @t1206 () (tptp.hBOOL (tptp.hAPP @t1159 @t672))) % 53.50/53.71 (define @t1207 () (= @t672 @t1157)) % 53.50/53.71 (define @t1208 () (not @t1207)) % 53.50/53.71 (define @t1209 () (@list @t672)) % 53.50/53.71 (define @t1210 () (= @t673 @t1157)) % 53.50/53.71 (define @t1211 () (tptp.hAPP @t821 @t672)) % 53.50/53.71 (define @t1212 () (tptp.hAPP @t785 @t662)) % 53.50/53.71 (define @t1213 () (= @t685 @t1157)) % 53.50/53.71 (define @t1214 () (= @t676 @t1157)) % 53.50/53.71 (define @t1215 () (tptp.hAPP @t1141 @t672)) % 53.50/53.71 (define @t1216 () (tptp.hAPP @t1141 @t673)) % 53.50/53.71 (define @t1217 () (= @t1216 @t1215)) % 53.50/53.71 (define @t1218 () (or @t702 @t1214)) % 53.50/53.71 (define @t1219 () (tptp.hAPP @t704 @t672)) % 53.50/53.71 (define @t1220 () (tptp.hAPP @t1219 @t676)) % 53.50/53.71 (define @t1221 () (tptp.hAPP @t758 @t676)) % 53.50/53.71 (define @t1222 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t49 @t8)) % 53.50/53.71 (define @t1223 () (tptp.hAPP @t1222 @t1)) % 53.50/53.71 (define @t1224 () (tptp.class_Groups_Ocomm__monoid__mult @t8)) % 53.50/53.71 (define @t1225 () (@list @t1 @t49 @t8)) % 53.50/53.71 (define @t1226 () (tptp.hAPP @t1222 @t2)) % 53.50/53.71 (define @t1227 () (@list @t2 @t49 @t8)) % 53.50/53.71 (define @t1228 () (not @t335)) % 53.50/53.71 (define @t1229 () (=> @t1228 (= @t1131 @t802))) % 53.50/53.71 (define @t1230 () (@list @t1 @t25 @t8 @t49)) % 53.50/53.71 (define @t1231 () (= @t5 @t638)) % 53.50/53.71 (define @t1232 () (and @t335 @t495)) % 53.50/53.71 (define @t1233 () (tptp.c_Finite__Set_Ofinite @t1149)) % 53.50/53.71 (define @t1234 () (tptp.hBOOL (tptp.hAPP @t1233 @t1148))) % 53.50/53.71 (define @t1235 () (@list @t88 @t25 @t49 @t8)) % 53.50/53.71 (define @t1236 () (tptp.hAPP @t160 @t1160)) % 53.50/53.71 (define @t1237 () (tptp.hBOOL (tptp.hAPP @t1236 @t13))) % 53.50/53.71 (define @t1238 () (tptp.hBOOL (tptp.hAPP @t324 @t1160))) % 53.50/53.71 (define @t1239 () (tptp.hBOOL (tptp.hAPP @t1136 @t200))) % 53.50/53.71 (define @t1240 () (tptp.hBOOL (tptp.hAPP @t1136 @t197))) % 53.50/53.71 (define @t1241 () (tptp.class_Groups_Oordered__comm__monoid__add @t98)) % 53.50/53.71 (define @t1242 () (= @t57 @t1160)) % 53.50/53.71 (define @t1243 () (and @t1161 @t1242)) % 53.50/53.71 (define @t1244 () (tptp.hAPP @t844 @t48)) % 53.50/53.71 (define @t1245 () (tptp.hAPP @t1244 @t57)) % 53.50/53.71 (define @t1246 () (tptp.hBOOL (tptp.hAPP @t201 @t841))) % 53.50/53.71 (define @t1247 () (tptp.hBOOL (tptp.hAPP @t1136 @t196))) % 53.50/53.71 (define @t1248 () (@list @t197 @t200 @t196 @t98)) % 53.50/53.71 (define @t1249 () (tptp.hBOOL (tptp.hAPP @t201 @t1135))) % 53.50/53.71 (define @t1250 () (tptp.hBOOL (tptp.hAPP @t198 @t1135))) % 53.50/53.71 (define @t1251 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t477) @t1135))) % 53.50/53.71 (define @t1252 () (tptp.class_Rings_Oordered__cancel__semiring @t98)) % 53.50/53.71 (define @t1253 () (tptp.hBOOL (tptp.hAPP @t1136 @t477))) % 53.50/53.71 (define @t1254 () (tptp.class_Rings_Oordered__ring @t98)) % 53.50/53.71 (define @t1255 () (tptp.hAPP @t474 @t284)) % 53.50/53.71 (define @t1256 () (tptp.hAPP @t99 @t874)) % 53.50/53.71 (define @t1257 () (=> @t1247 (tptp.hBOOL (tptp.hAPP @t1256 @t1255)))) % 53.50/53.71 (define @t1258 () (tptp.class_Rings_Oordered__semiring @t98)) % 53.50/53.71 (define @t1259 () (tptp.hAPP @t473 @t196)) % 53.50/53.71 (define @t1260 () (tptp.hAPP @t1259 @t200)) % 53.50/53.71 (define @t1261 () (tptp.hAPP @t1259 @t197)) % 53.50/53.71 (define @t1262 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1261) @t1260))) % 53.50/53.71 (define @t1263 () (tptp.hBOOL (tptp.hAPP @t206 @t1135))) % 53.50/53.71 (define @t1264 () (tptp.hBOOL (tptp.hAPP @t1256 @t475))) % 53.50/53.71 (define @t1265 () (=> @t213 (=> @t1247 @t1262))) % 53.50/53.71 (define @t1266 () (tptp.hBOOL (tptp.hAPP @t1236 @t33))) % 53.50/53.71 (define @t1267 () (tptp.hAPP @t160 @t33)) % 53.50/53.71 (define @t1268 () (tptp.hBOOL (tptp.hAPP @t1267 @t1160))) % 53.50/53.71 (define @t1269 () (or (and @t1237 @t1268) (and @t1238 @t1266))) % 53.50/53.71 (define @t1270 () (tptp.class_Rings_Olinordered__ring__strict @t8)) % 53.50/53.71 (define @t1271 () (or (and @t1237 @t1266) (and @t1238 @t1268))) % 53.50/53.71 (define @t1272 () (tptp.class_Rings_Olinordered__ring @t98)) % 53.50/53.71 (define @t1273 () (tptp.hAPP @t368 @t1160)) % 53.50/53.71 (define @t1274 () (tptp.hBOOL (tptp.hAPP @t1273 @t13))) % 53.50/53.71 (define @t1275 () (tptp.hBOOL (tptp.hAPP @t403 @t1160))) % 53.50/53.71 (define @t1276 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t1182) @t1160)) @t1275)) % 53.50/53.71 (define @t1277 () (tptp.hAPP @t366 @t1135)) % 53.50/53.71 (define @t1278 () (tptp.hBOOL (tptp.hAPP @t1277 @t842))) % 53.50/53.71 (define @t1279 () (tptp.hBOOL (tptp.hAPP @t1277 @t200))) % 53.50/53.71 (define @t1280 () (=> @t1279 @t1278)) % 53.50/53.71 (define @t1281 () (tptp.hBOOL (tptp.hAPP @t1277 @t197))) % 53.50/53.71 (define @t1282 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t842) @t1135))) % 53.50/53.71 (define @t1283 () (tptp.hBOOL (tptp.hAPP @t384 @t1135))) % 53.50/53.71 (define @t1284 () (=> @t1283 @t1282)) % 53.50/53.71 (define @t1285 () (tptp.hBOOL (tptp.hAPP @t386 @t1135))) % 53.50/53.71 (define @t1286 () (tptp.hBOOL (tptp.hAPP @t384 @t841))) % 53.50/53.71 (define @t1287 () (=> @t390 @t1286)) % 53.50/53.71 (define @t1288 () (tptp.hAPP @t368 @t33)) % 53.50/53.71 (define @t1289 () (tptp.hBOOL (tptp.hAPP @t1288 @t13))) % 53.50/53.71 (define @t1290 () (tptp.hBOOL (tptp.hAPP @t401 @t1160))) % 53.50/53.71 (define @t1291 () (tptp.hBOOL (tptp.hAPP @t1273 @t32))) % 53.50/53.71 (define @t1292 () (or (and @t1291 @t404) (and @t1290 @t1289))) % 53.50/53.71 (define @t1293 () (tptp.hAPP @t368 @t872)) % 53.50/53.71 (define @t1294 () (tptp.hAPP @t465 @t32)) % 53.50/53.71 (define @t1295 () (tptp.hAPP @t1294 @t33)) % 53.50/53.71 (define @t1296 () (tptp.hAPP @t1294 @t13)) % 53.50/53.71 (define @t1297 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t1296) @t1295))) % 53.50/53.71 (define @t1298 () (tptp.hBOOL (tptp.hAPP @t1277 @t477))) % 53.50/53.71 (define @t1299 () (tptp.class_Rings_Olinordered__semiring__strict @t98)) % 53.50/53.71 (define @t1300 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t477) @t1135))) % 53.50/53.71 (define @t1301 () (=> @t1281 @t1279)) % 53.50/53.71 (define @t1302 () (tptp.class_Rings_Olinordered__ring__strict @t98)) % 53.50/53.71 (define @t1303 () (tptp.hAPP @t366 @t874)) % 53.50/53.71 (define @t1304 () (tptp.hBOOL (tptp.hAPP @t1303 @t475))) % 53.50/53.71 (define @t1305 () (tptp.hBOOL (tptp.hAPP @t1277 @t196))) % 53.50/53.71 (define @t1306 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t1261) @t1260))) % 53.50/53.71 (define @t1307 () (=> @t387 (=> @t1305 @t1306))) % 53.50/53.71 (define @t1308 () (tptp.hBOOL (tptp.hAPP @t391 @t1135))) % 53.50/53.71 (define @t1309 () (@var "V_r" $$unsorted)) % 53.50/53.71 (define @t1310 () (tptp.hAPP @t473 @t1309)) % 53.50/53.71 (define @t1311 () (tptp.hAPP @t471 @t48)) % 53.50/53.71 (define @t1312 () (tptp.hAPP (tptp.hAPP @t844 @t1311) (tptp.hAPP (tptp.hAPP @t465 @t57) @t57))) % 53.50/53.71 (define @t1313 () (tptp.hAPP @t99 @t645)) % 53.50/53.71 (define @t1314 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t49 @t8)) % 53.50/53.71 (define @t1315 () (tptp.hAPP @t1314 @t1)) % 53.50/53.71 (define @t1316 () (tptp.class_Groups_Ocomm__monoid__add @t8)) % 53.50/53.71 (define @t1317 () (tptp.hAPP @t1314 @t2)) % 53.50/53.71 (define @t1318 () (=> @t1228 (= @t1105 @t1162))) % 53.50/53.71 (define @t1319 () (tptp.hAPP @t2 @t567)) % 53.50/53.71 (define @t1320 () (tptp.hBOOL (tptp.hAPP @t570 @t25))) % 53.50/53.71 (define @t1321 () (forall @t571 (=> @t1320 (=> @t569 (= @t1319 @t1157))))) % 53.50/53.71 (define @t1322 () (tptp.hAPP tptp.c_Nat_OSuc @t1157)) % 53.50/53.71 (define @t1323 () (@list @t2 @t25 @t8)) % 53.50/53.71 (define @t1324 () (@var "B_m" $$unsorted)) % 53.50/53.71 (define @t1325 () (= @t672 (tptp.hAPP tptp.c_Nat_OSuc @t1324))) % 53.50/53.71 (define @t1326 () (@list @t1324)) % 53.50/53.71 (define @t1327 () (@var "B_j" $$unsorted)) % 53.50/53.71 (define @t1328 () (tptp.hAPP @t506 @t1327)) % 53.50/53.71 (define @t1329 () (@list @t1327)) % 53.50/53.71 (define @t1330 () (= @t672 @t1322)) % 53.50/53.71 (define @t1331 () (= @t673 @t1322)) % 53.50/53.71 (define @t1332 () (or (and @t1331 @t1207) (and @t1210 @t1330))) % 53.50/53.71 (define @t1333 () (tptp.hBOOL (tptp.hAPP @t1159 @t673))) % 53.50/53.71 (define @t1334 () (= @t504 @t1157)) % 53.50/53.71 (define @t1335 () (=> @t1228 @t1334)) % 53.50/53.71 (define @t1336 () (tptp.hBOOL (tptp.hAPP @t1159 @t662))) % 53.50/53.71 (define @t1337 () (tptp.hAPP @t677 @t673)) % 53.50/53.71 (define @t1338 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t1216) @t1215))) % 53.50/53.71 (define @t1339 () (tptp.hBOOL (tptp.hAPP @t1159 @t676))) % 53.50/53.71 (define @t1340 () (tptp.hBOOL (tptp.hAPP @t1159 @t726))) % 53.50/53.71 (define @t1341 () (and @t1339 @t675)) % 53.50/53.71 (define @t1342 () (tptp.hAPP @t679 @t672)) % 53.50/53.71 (define @t1343 () (= @t662 @t1157)) % 53.50/53.71 (define @t1344 () (=> @t1305 @t213)) % 53.50/53.71 (define @t1345 () (=> @t1247 @t387)) % 53.50/53.71 (define @t1346 () (=> @t1306 @t1345)) % 53.50/53.71 (define @t1347 () (tptp.class_Rings_Olinordered__semiring @t98)) % 53.50/53.71 (define @t1348 () (=> @t1304 @t1345)) % 53.50/53.71 (define @t1349 () (tptp.hBOOL (tptp.hAPP @t1303 @t1255))) % 53.50/53.71 (define @t1350 () (=> @t1247 @t1349)) % 53.50/53.71 (define @t1351 () (tptp.hBOOL (tptp.hAPP @t1267 @t13))) % 53.50/53.71 (define @t1352 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1296) @t1295))) % 53.50/53.71 (define @t1353 () (tptp.hAPP @t473 @t152)) % 53.50/53.71 (define @t1354 () (tptp.hAPP (tptp.hAPP @t834 @t480) (tptp.hAPP @t1353 @t152))) % 53.50/53.71 (define @t1355 () (not @t1242)) % 53.50/53.71 (define @t1356 () (or (not @t1161) @t1355)) % 53.50/53.71 (define @t1357 () (tptp.hAPP @t1353 @t97)) % 53.50/53.71 (define @t1358 () (tptp.hBOOL (tptp.hAPP @t153 @t645))) % 53.50/53.71 (define @t1359 () (tptp.hBOOL (tptp.hAPP @t1136 @t152))) % 53.50/53.71 (define @t1360 () (tptp.hBOOL (tptp.hAPP @t1136 @t97))) % 53.50/53.71 (define @t1361 () (tptp.hBOOL (tptp.hAPP @t1159 @t504))) % 53.50/53.71 (define @t1362 () (tptp.hAPP @t506 @t1322)) % 53.50/53.71 (define @t1363 () (tptp.hBOOL (tptp.hAPP @t1362 @t662))) % 53.50/53.71 (define @t1364 () (tptp.hBOOL (tptp.hAPP @t1362 @t658))) % 53.50/53.71 (define @t1365 () (@var "B_d" $$unsorted)) % 53.50/53.71 (define @t1366 () (tptp.hAPP @t178 @t1365)) % 53.50/53.71 (define @t1367 () (tptp.hBOOL @t1366)) % 53.50/53.71 (define @t1368 () (= @t13 (tptp.hAPP (tptp.hAPP @t796 @t33) @t1365))) % 53.50/53.71 (define @t1369 () (@list @t1365)) % 53.50/53.71 (define @t1370 () (tptp.hBOOL (tptp.hAPP @t178 @t1157))) % 53.50/53.71 (define @t1371 () (not @t1370)) % 53.50/53.71 (define @t1372 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t13) @t33))) % 53.50/53.71 (define @t1373 () (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t541 @t13) @t33)))) % 53.50/53.71 (define @t1374 () (@list @t33 @t13 @t178)) % 53.50/53.71 (define @t1375 () (tptp.hAPP @t595 @t1322)) % 53.50/53.71 (define @t1376 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t1216) @t1215))) % 53.50/53.71 (define @t1377 () (=> @t1339 @t699)) % 53.50/53.71 (define @t1378 () (tptp.hAPP @t1128 @t55)) % 53.50/53.71 (define @t1379 () (tptp.hAPP @t803 @t1131)) % 53.50/53.71 (define @t1380 () (tptp.hAPP @t1379 (tptp.hAPP @t1128 @t88))) % 53.50/53.71 (define @t1381 () (tptp.hAPP @t1128 @t131)) % 53.50/53.71 (define @t1382 () (=> @t335 (= @t1131 @t807))) % 53.50/53.71 (define @t1383 () (= @t1381 @t1380)) % 53.50/53.71 (define @t1384 () (=> @t335 (= @t1105 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t49 @t8 @t1099) @t1) @t1162) @t25)))) % 53.50/53.71 (define @t1385 () (tptp.hAPP @t785 @t638)) % 53.50/53.71 (define @t1386 () (tptp.hAPP tptp.c_Nat_OSuc @t1385)) % 53.50/53.71 (define @t1387 () (not @t1343)) % 53.50/53.71 (define @t1388 () (tptp.class_Rings_Olinordered__idom @t8)) % 53.50/53.71 (define @t1389 () (tptp.hAPP @t141 @t1092)) % 53.50/53.71 (define @t1390 () (tptp.hBOOL (tptp.hAPP @t1389 @t1111))) % 53.50/53.71 (define @t1391 () (@var "B_b" $$unsorted)) % 53.50/53.71 (define @t1392 () (tptp.hAPP @t141 @t1162)) % 53.50/53.71 (define @t1393 () (tptp.hAPP @t75 @t1391)) % 53.50/53.71 (define @t1394 () (@list @t1391)) % 53.50/53.71 (define @t1395 () (@list @t2 @t25 @t88 @t8 @t49)) % 53.50/53.71 (define @t1396 () (= @t88 @t81)) % 53.50/53.71 (define @t1397 () (tptp.tc_fun @t1149 tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t1398 () (= @t638 @t1157)) % 53.50/53.71 (define @t1399 () (tptp.hBOOL (tptp.hAPP @t181 @t488))) % 53.50/53.71 (define @t1400 () (tptp.hAPP @t1165 @t1076)) % 53.50/53.71 (define @t1401 () (tptp.hAPP @t1165 @t1067)) % 53.50/53.71 (define @t1402 () (tptp.hAPP @t1091 @t1076)) % 53.50/53.71 (define @t1403 () (tptp.hAPP @t1091 @t1067)) % 53.50/53.71 (define @t1404 () (= (= @t1182 @t1160) @t1176)) % 53.50/53.71 (define @t1405 () (tptp.hBOOL (tptp.hAPP @t1392 @t5))) % 53.50/53.71 (define @t1406 () (tptp.class_Groups_Oordered__ab__semigroup__add @t49)) % 53.50/53.71 (define @t1407 () (tptp.hAPP @t844 @t641)) % 53.50/53.71 (define @t1408 () (tptp.hAPP (tptp.hAPP @t844 (tptp.hAPP @t1407 @t13)) @t13)) % 53.50/53.71 (define @t1409 () (tptp.c_Int_Oring__1__class_OInts @t8)) % 53.50/53.71 (define @t1410 () (tptp.hBOOL (tptp.hAPP @t117 @t1409))) % 53.50/53.71 (define @t1411 () (tptp.hAPP @t1165 @t86)) % 53.50/53.71 (define @t1412 () (tptp.c_Rings_Oinverse__class_Odivide @t49)) % 53.50/53.71 (define @t1413 () (tptp.hAPP @t1412 @t1166)) % 53.50/53.71 (define @t1414 () (tptp.class_Fields_Ofield @t49)) % 53.50/53.71 (define @t1415 () (@var "B_i" $$unsorted)) % 53.50/53.71 (define @t1416 () (tptp.hAPP @t178 @t1415)) % 53.50/53.71 (define @t1417 () (tptp.hBOOL @t1416)) % 53.50/53.71 (define @t1418 () (tptp.hAPP @t595 @t1415)) % 53.50/53.71 (define @t1419 () (@list @t1415)) % 53.50/53.71 (define @t1420 () (tptp.hBOOL @t712)) % 53.50/53.71 (define @t1421 () (tptp.hBOOL (tptp.hAPP @t181 (tptp.hAPP (tptp.hAPP @t84 @t1076) @t1067)))) % 53.50/53.71 (define @t1422 () (forall @t7 (=> @t1421 @t1080))) % 53.50/53.71 (define @t1423 () (tptp.hAPP @t71 @t1067)) % 53.50/53.71 (define @t1424 () (tptp.hBOOL (tptp.hAPP @t1423 @t1076))) % 53.50/53.71 (define @t1425 () (@list @t2 @t1067 @t1076 @t8 @t49)) % 53.50/53.71 (define @t1426 () (forall @t7 (=> @t1421 @t1163))) % 53.50/53.71 (define @t1427 () (tptp.c_Rings_Oinverse__class_Odivide @t98)) % 53.50/53.71 (define @t1428 () (tptp.class_Rings_Odivision__ring @t98)) % 53.50/53.71 (define @t1429 () (tptp.hAPP @t1427 @t197)) % 53.50/53.71 (define @t1430 () (tptp.class_Rings_Odivision__ring__inverse__zero @t98)) % 53.50/53.71 (define @t1431 () (tptp.hAPP (tptp.hAPP @t1427 @t200) @t196)) % 53.50/53.71 (define @t1432 () (tptp.hAPP @t1429 @t196)) % 53.50/53.71 (define @t1433 () (tptp.hAPP @t1427 @t842)) % 53.50/53.71 (define @t1434 () (= @t196 @t1135)) % 53.50/53.71 (define @t1435 () (not @t1434)) % 53.50/53.71 (define @t1436 () (= @t33 @t872)) % 53.50/53.71 (define @t1437 () (tptp.c_Rings_Oinverse__class_Odivide @t8)) % 53.50/53.71 (define @t1438 () (tptp.hAPP @t1437 @t33)) % 53.50/53.71 (define @t1439 () (tptp.hAPP @t1438 @t32)) % 53.50/53.71 (define @t1440 () (= @t1439 @t13)) % 53.50/53.71 (define @t1441 () (= @t32 @t1160)) % 53.50/53.71 (define @t1442 () (not @t1441)) % 53.50/53.71 (define @t1443 () (tptp.class_Rings_Odivision__ring @t8)) % 53.50/53.71 (define @t1444 () (@list @t13 @t33 @t32 @t8)) % 53.50/53.71 (define @t1445 () (= @t872 @t33)) % 53.50/53.71 (define @t1446 () (= @t13 @t1439)) % 53.50/53.71 (define @t1447 () (tptp.hAPP @t1429 @t197)) % 53.50/53.71 (define @t1448 () (=> @t1189 (= @t1447 @t645))) % 53.50/53.71 (define @t1449 () (tptp.hAPP (tptp.hAPP @t1437 @t13) @t33)) % 53.50/53.71 (define @t1450 () (tptp.hAPP @t75 @t1160)) % 53.50/53.71 (define @t1451 () (tptp.class_Rings_Oring__1 @t8)) % 53.50/53.71 (define @t1452 () (tptp.hAPP @t75 @t852)) % 53.50/53.71 (define @t1453 () (tptp.hBOOL (tptp.hAPP @t76 @t1409))) % 53.50/53.71 (define @t1454 () (tptp.hAPP @t75 @t1191)) % 53.50/53.71 (define @t1455 () (tptp.hAPP @t75 @t641)) % 53.50/53.71 (define @t1456 () (tptp.class_Int_Oring__char__0 @t8)) % 53.50/53.71 (define @t1457 () (not @t1290)) % 53.50/53.71 (define @t1458 () (tptp.hBOOL (tptp.hAPP @t1267 @t872))) % 53.50/53.71 (define @t1459 () (not @t1291)) % 53.50/53.71 (define @t1460 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t872) @t33))) % 53.50/53.71 (define @t1461 () (tptp.hBOOL (tptp.hAPP @t324 @t1439))) % 53.50/53.71 (define @t1462 () (tptp.class_Fields_Olinordered__field__inverse__zero @t8)) % 53.50/53.71 (define @t1463 () (tptp.hAPP @t160 @t1439)) % 53.50/53.71 (define @t1464 () (tptp.hBOOL (tptp.hAPP @t1463 @t13))) % 53.50/53.71 (define @t1465 () (@list @t13 @t32 @t33 @t8)) % 53.50/53.71 (define @t1466 () (tptp.class_Fields_Olinordered__field @t8)) % 53.50/53.71 (define @t1467 () (tptp.hAPP @t1427 @t97)) % 53.50/53.71 (define @t1468 () (tptp.hAPP @t1467 @t152)) % 53.50/53.71 (define @t1469 () (tptp.hAPP @t99 @t1468)) % 53.50/53.71 (define @t1470 () (tptp.hAPP @t473 @t216)) % 53.50/53.71 (define @t1471 () (tptp.hAPP @t1470 @t152)) % 53.50/53.71 (define @t1472 () (tptp.hBOOL (tptp.hAPP @t1277 @t152))) % 53.50/53.71 (define @t1473 () (tptp.class_Fields_Olinordered__field @t98)) % 53.50/53.71 (define @t1474 () (@var "V_w" $$unsorted)) % 53.50/53.71 (define @t1475 () (tptp.class_Fields_Ofield__inverse__zero @t98)) % 53.50/53.71 (define @t1476 () (tptp.class_Fields_Olinordered__field__inverse__zero @t98)) % 53.50/53.71 (define @t1477 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t1432) @t1431))) % 53.50/53.71 (define @t1478 () (tptp.hBOOL (tptp.hAPP @t1277 @t1468))) % 53.50/53.71 (define @t1479 () (tptp.hBOOL (tptp.hAPP @t376 @t1135))) % 53.50/53.71 (define @t1480 () (tptp.hBOOL (tptp.hAPP @t367 @t1135))) % 53.50/53.71 (define @t1481 () (tptp.hAPP @t366 @t1468)) % 53.50/53.71 (define @t1482 () (tptp.hBOOL (tptp.hAPP @t1481 @t1135))) % 53.50/53.71 (define @t1483 () (tptp.hBOOL (tptp.hAPP @t1277 @t97))) % 53.50/53.71 (define @t1484 () (tptp.hBOOL (tptp.hAPP @t1273 @t33))) % 53.50/53.71 (define @t1485 () (tptp.hBOOL (tptp.hAPP @t1288 @t1160))) % 53.50/53.71 (define @t1486 () (=> @t1441 @t1176)) % 53.50/53.71 (define @t1487 () (tptp.class_Fields_Ofield__inverse__zero @t8)) % 53.50/53.71 (define @t1488 () (tptp.hAPP @t1429 @t200)) % 53.50/53.71 (define @t1489 () (= @t79 @t1160)) % 53.50/53.71 (define @t1490 () (tptp.class_Fields_Ofield @t8)) % 53.50/53.71 (define @t1491 () (tptp.hBOOL (tptp.hAPP @t1136 @t1468))) % 53.50/53.71 (define @t1492 () (tptp.hBOOL (tptp.hAPP @t1469 @t1135))) % 53.50/53.71 (define @t1493 () (tptp.hAPP @t1427 @t152)) % 53.50/53.71 (define @t1494 () (tptp.hAPP @t1493 @t1474)) % 53.50/53.71 (define @t1495 () (tptp.hAPP @t1467 @t216)) % 53.50/53.71 (define @t1496 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t1495) @t1494))) % 53.50/53.71 (define @t1497 () (tptp.hBOOL (tptp.hAPP @t1277 @t1474))) % 53.50/53.71 (define @t1498 () (@list @t216 @t1474 @t152 @t97 @t98)) % 53.50/53.71 (define @t1499 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1474) @t216))) % 53.50/53.71 (define @t1500 () (tptp.hBOOL (tptp.hAPP @t100 @t1135))) % 53.50/53.71 (define @t1501 () (tptp.hAPP @t1427 @t196)) % 53.50/53.71 (define @t1502 () (tptp.hAPP @t1501 @t200)) % 53.50/53.71 (define @t1503 () (tptp.hAPP @t1501 @t197)) % 53.50/53.71 (define @t1504 () (=> @t1298 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t1503) @t1502)))) % 53.50/53.71 (define @t1505 () (tptp.hBOOL (tptp.hAPP @t1293 @t33))) % 53.50/53.71 (define @t1506 () (tptp.hAPP @t368 @t1439)) % 53.50/53.71 (define @t1507 () (tptp.hBOOL (tptp.hAPP @t1506 @t13))) % 53.50/53.71 (define @t1508 () (tptp.hBOOL (tptp.hAPP @t1288 @t872))) % 53.50/53.71 (define @t1509 () (tptp.hBOOL (tptp.hAPP @t403 @t1439))) % 53.50/53.71 (define @t1510 () (tptp.hAPP @t1353 @t216)) % 53.50/53.71 (define @t1511 () (tptp.hAPP (tptp.hAPP @t473 @t1474) @t152)) % 53.50/53.71 (define @t1512 () (tptp.hAPP (tptp.hAPP @t1427 @t1474) @t216)) % 53.50/53.71 (define @t1513 () (tptp.hAPP @t834 @t1468)) % 53.50/53.71 (define @t1514 () (not (= @t216 @t1135))) % 53.50/53.71 (define @t1515 () (not (= @t152 @t1135))) % 53.50/53.71 (define @t1516 () (tptp.class_Fields_Ofield @t98)) % 53.50/53.71 (define @t1517 () (@list @t1474 @t97 @t216 @t152 @t98)) % 53.50/53.71 (define @t1518 () (tptp.hAPP @t834 @t97)) % 53.50/53.71 (define @t1519 () (tptp.hAPP @t1427 (tptp.hAPP @t1518 @t1471))) % 53.50/53.71 (define @t1520 () (@list @t152 @t97 @t216 @t98)) % 53.50/53.71 (define @t1521 () (tptp.hAPP @t1519 @t152)) % 53.50/53.71 (define @t1522 () (tptp.hAPP @t1470 @t97)) % 53.50/53.71 (define @t1523 () (tptp.hAPP @t1493 @t216)) % 53.50/53.71 (define @t1524 () (tptp.hAPP @t834 @t216)) % 53.50/53.71 (define @t1525 () (tptp.hAPP @t913 @t97)) % 53.50/53.71 (define @t1526 () (tptp.hAPP @t1433 @t963)) % 53.50/53.71 (define @t1527 () (=> @t1298 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1503) @t1502)))) % 53.50/53.71 (define @t1528 () (tptp.hAPP @t1165 @t88)) % 53.50/53.71 (define @t1529 () (@var "B_z" $$unsorted)) % 53.50/53.71 (define @t1530 () (@list @t1529)) % 53.50/53.71 (define @t1531 () (forall @t7 (=> @t183 (tptp.hBOOL (tptp.hAPP @t1267 @t3))))) % 53.50/53.71 (define @t1532 () (@list @t32 @t33 @t25 @t8)) % 53.50/53.71 (define @t1533 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t1534 () (tptp.hAPP @t1533 @t1132)) % 53.50/53.71 (define @t1535 () (tptp.hAPP (tptp.hAPP @t541 @t1534) @t638)) % 53.50/53.71 (define @t1536 () (@list @t1132)) % 53.50/53.71 (define @t1537 () (@var "B_X" $$unsorted)) % 53.50/53.71 (define @t1538 () (tptp.hAPP @t1045 @t1537)) % 53.50/53.71 (define @t1539 () (tptp.hBOOL (tptp.hAPP @t1538 @t171))) % 53.50/53.71 (define @t1540 () (tptp.hBOOL (tptp.hAPP @t1042 @t1537))) % 53.50/53.71 (define @t1541 () (@list @t1537)) % 53.50/53.71 (define @t1542 () (@list @t171 @t25 @t8)) % 53.50/53.71 (define @t1543 () (tptp.hAPP @t1125 @t1162)) % 53.50/53.71 (define @t1544 () (tptp.class_Rings_Olinordered__semidom @t49)) % 53.50/53.71 (define @t1545 () (tptp.c_Orderings_Oord__class_Omin @t8)) % 53.50/53.71 (define @t1546 () (tptp.c_Finite__Set_Ofold1 @t8 @t1545)) % 53.50/53.71 (define @t1547 () (tptp.hAPP @t1546 @t25)) % 53.50/53.71 (define @t1548 () (@var "B_e" $$unsorted)) % 53.50/53.71 (define @t1549 () (@var "V_fb_2" $$unsorted)) % 53.50/53.71 (define @t1550 () (@var "V_fa_2" $$unsorted)) % 53.50/53.71 (define @t1551 () (tptp.hAPP @t796 (tptp.hAPP @t1550 @t13))) % 53.50/53.71 (define @t1552 () (tptp.c_Nitpick_Opair__box_OPairBox @t8 @t49 @t13 @t33)) % 53.50/53.71 (define @t1553 () (@var "V_b_H_2" $$unsorted)) % 53.50/53.71 (define @t1554 () (@var "V_a_H_2" $$unsorted)) % 53.50/53.71 (define @t1555 () (= @t13 @t1554)) % 53.50/53.71 (define @t1556 () (and @t1555 (= @t33 @t1553))) % 53.50/53.71 (define @t1557 () (@list @t1553 @t1554 @t33 @t13 @t49 @t8)) % 53.50/53.71 (define @t1558 () (tptp.c_Orderings_Oord__class_Omin @t98)) % 53.50/53.71 (define @t1559 () (tptp.hAPP @t1558 @t97)) % 53.50/53.71 (define @t1560 () (tptp.hAPP @t1558 @t152)) % 53.50/53.71 (define @t1561 () (tptp.hAPP @t1560 @t216)) % 53.50/53.71 (define @t1562 () (tptp.hAPP @t1559 @t1561)) % 53.50/53.71 (define @t1563 () (tptp.hAPP @t1559 @t152)) % 53.50/53.71 (define @t1564 () (tptp.hAPP @t1558 @t200)) % 53.50/53.71 (define @t1565 () (tptp.hAPP @t1558 @t197)) % 53.50/53.71 (define @t1566 () (tptp.hAPP @t1565 (tptp.hAPP @t1564 @t196))) % 53.50/53.71 (define @t1567 () (tptp.hAPP @t1565 @t200)) % 53.50/53.71 (define @t1568 () (tptp.hAPP @t1559 @t216)) % 53.50/53.71 (define @t1569 () (tptp.hAPP @t1560 @t97)) % 53.50/53.71 (define @t1570 () (tptp.c_Int_Onumber__class_Onumber__of @t8)) % 53.50/53.71 (define @t1571 () (tptp.hAPP @t1570 @t1132)) % 53.50/53.71 (define @t1572 () (tptp.hAPP @t1570 @t1034)) % 53.50/53.71 (define @t1573 () (tptp.hAPP (tptp.hAPP @t1545 @t1572) @t1571)) % 53.50/53.71 (define @t1574 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1572) @t1571))) % 53.50/53.71 (define @t1575 () (not @t1574)) % 53.50/53.71 (define @t1576 () (tptp.class_Orderings_Oord @t8)) % 53.50/53.71 (define @t1577 () (tptp.class_Int_Onumber @t8)) % 53.50/53.71 (define @t1578 () (and @t1577 @t1576)) % 53.50/53.71 (define @t1579 () (@list @t1132 @t1034 @t8)) % 53.50/53.71 (define @t1580 () (tptp.hAPP @t1570 @t57)) % 53.50/53.71 (define @t1581 () (tptp.hAPP @t1570 @t48)) % 53.50/53.71 (define @t1582 () (= @t1581 @t1580)) % 53.50/53.71 (define @t1583 () (tptp.class_Int_Onumber__ring @t8)) % 53.50/53.71 (define @t1584 () (and @t1583 @t1456)) % 53.50/53.71 (define @t1585 () (tptp.hAPP @t1570 @t881)) % 53.50/53.71 (define @t1586 () (tptp.hAPP @t99 @t1563)) % 53.50/53.71 (define @t1587 () (tptp.hAPP @t1545 @t48)) % 53.50/53.71 (define @t1588 () (tptp.hAPP @t1587 @t57)) % 53.50/53.71 (define @t1589 () (tptp.hAPP @t99 @t1567)) % 53.50/53.71 (define @t1590 () (tptp.hBOOL (tptp.hAPP @t1589 @t97))) % 53.50/53.71 (define @t1591 () (tptp.hBOOL (tptp.hAPP @t100 @t1567))) % 53.50/53.71 (define @t1592 () (tptp.hBOOL (tptp.hAPP @t369 @t79))) % 53.50/53.71 (define @t1593 () (tptp.hBOOL (tptp.hAPP @t371 @t79))) % 53.50/53.71 (define @t1594 () (tptp.hAPP @t368 @t79)) % 53.50/53.71 (define @t1595 () (tptp.hBOOL (tptp.hAPP @t1594 @t57))) % 53.50/53.71 (define @t1596 () (tptp.hBOOL (tptp.hAPP @t1594 @t48))) % 53.50/53.71 (define @t1597 () (@list @t57 @t48 @t79 @t8)) % 53.50/53.71 (define @t1598 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t1567) @t97))) % 53.50/53.71 (define @t1599 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 53.50/53.71 (define @t1600 () (tptp.hAPP @t1599 @t48)) % 53.50/53.71 (define @t1601 () (tptp.hBOOL (tptp.hAPP @t1600 @t57))) % 53.50/53.71 (define @t1602 () (tptp.hAPP @t160 @t1581)) % 53.50/53.71 (define @t1603 () (and @t1583 @t1388)) % 53.50/53.71 (define @t1604 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 53.50/53.71 (define @t1605 () (tptp.hAPP @t1604 @t48)) % 53.50/53.71 (define @t1606 () (tptp.hBOOL (tptp.hAPP @t1605 @t57))) % 53.50/53.71 (define @t1607 () (tptp.hAPP @t368 @t1581)) % 53.50/53.71 (define @t1608 () (tptp.hAPP @t1518 @t216)) % 53.50/53.71 (define @t1609 () (tptp.hAPP (tptp.hAPP @t913 @t152) @t216)) % 53.50/53.71 (define @t1610 () (tptp.hAPP @t1525 @t216)) % 53.50/53.71 (define @t1611 () (tptp.class_Groups_Oordered__ab__group__add @t98)) % 53.50/53.71 (define @t1612 () (tptp.c_Int_Onumber__class_Onumber__of @t98)) % 53.50/53.71 (define @t1613 () (tptp.hAPP @t1612 @t1474)) % 53.50/53.71 (define @t1614 () (tptp.hAPP @t1612 @t1132)) % 53.50/53.71 (define @t1615 () (tptp.hAPP @t834 @t1614)) % 53.50/53.71 (define @t1616 () (tptp.hAPP @t1615 @t1613)) % 53.50/53.71 (define @t1617 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 53.50/53.71 (define @t1618 () (tptp.hAPP @t1617 @t1132)) % 53.50/53.71 (define @t1619 () (tptp.hAPP @t1618 @t1474)) % 53.50/53.71 (define @t1620 () (tptp.hAPP @t1612 @t1619)) % 53.50/53.71 (define @t1621 () (tptp.class_Int_Onumber__ring @t98)) % 53.50/53.71 (define @t1622 () (@list @t1474 @t1132 @t98)) % 53.50/53.71 (define @t1623 () (@list @t216 @t1474 @t1132 @t98)) % 53.50/53.71 (define @t1624 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 53.50/53.71 (define @t1625 () (tptp.hAPP @t1624 @t1132)) % 53.50/53.71 (define @t1626 () (tptp.hAPP @t1625 @t1474)) % 53.50/53.71 (define @t1627 () (tptp.hAPP @t1612 @t1626)) % 53.50/53.71 (define @t1628 () (tptp.hAPP @t473 @t1614)) % 53.50/53.71 (define @t1629 () (tptp.hAPP @t1628 @t1613)) % 53.50/53.71 (define @t1630 () (tptp.hAPP @t913 @t1614)) % 53.50/53.71 (define @t1631 () (tptp.hAPP @t1630 @t1613)) % 53.50/53.71 (define @t1632 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 53.50/53.71 (define @t1633 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t1634 () (tptp.hAPP @t1633 @t658)) % 53.50/53.71 (define @t1635 () (tptp.hAPP (tptp.hAPP @t1633 @t662) @t658)) % 53.50/53.71 (define @t1636 () (tptp.hAPP @t1570 @t1088)) % 53.50/53.71 (define @t1637 () (tptp.hAPP @t368 @t1585)) % 53.50/53.71 (define @t1638 () (@list @t881 @t1088 @t8)) % 53.50/53.71 (define @t1639 () (tptp.hAPP (tptp.hAPP @t465 @t200) @t1571)) % 53.50/53.71 (define @t1640 () (tptp.hAPP (tptp.hAPP @t465 @t197) @t1571)) % 53.50/53.71 (define @t1641 () (and @t1577 (tptp.class_Rings_Osemiring @t8))) % 53.50/53.71 (define @t1642 () (@list @t1132 @t200 @t197 @t8)) % 53.50/53.71 (define @t1643 () (tptp.hAPP @t465 @t1571)) % 53.50/53.71 (define @t1644 () (tptp.hAPP @t1643 @t196)) % 53.50/53.71 (define @t1645 () (tptp.hAPP @t1643 @t200)) % 53.50/53.71 (define @t1646 () (@list @t196 @t200 @t1132 @t8)) % 53.50/53.71 (define @t1647 () (and @t1577 @t957)) % 53.50/53.71 (define @t1648 () (tptp.hAPP @t75 @t1585)) % 53.50/53.71 (define @t1649 () (@list @t881 @t8)) % 53.50/53.71 (define @t1650 () (= @t1585 @t1160)) % 53.50/53.71 (define @t1651 () (=> @t1650 @t1176)) % 53.50/53.71 (define @t1652 () (tptp.hAPP @t870 @t1585)) % 53.50/53.71 (define @t1653 () (not @t1650)) % 53.50/53.71 (define @t1654 () (tptp.hAPP @t1438 @t1585)) % 53.50/53.71 (define @t1655 () (and @t1487 @t1577)) % 53.50/53.71 (define @t1656 () (@list @t13 @t881 @t33 @t8)) % 53.50/53.71 (define @t1657 () (=> @t1441 @t1650)) % 53.50/53.71 (define @t1658 () (tptp.hAPP (tptp.hAPP @t465 @t1585) @t32)) % 53.50/53.71 (define @t1659 () (@list @t881 @t32 @t33 @t8)) % 53.50/53.71 (define @t1660 () (@list @t32 @t33 @t881 @t8)) % 53.50/53.71 (define @t1661 () (@list @t881 @t33 @t13 @t8)) % 53.50/53.71 (define @t1662 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t1545)) % 53.50/53.71 (define @t1663 () (tptp.hAPP @t1662 @t33)) % 53.50/53.71 (define @t1664 () (tptp.hAPP @t1663 @t25)) % 53.50/53.71 (define @t1665 () (tptp.hAPP @t1545 @t13)) % 53.50/53.71 (define @t1666 () (tptp.hBOOL (tptp.hAPP @t1637 @t1160))) % 53.50/53.71 (define @t1667 () (not @t1666)) % 53.50/53.71 (define @t1668 () (tptp.hBOOL (tptp.hAPP @t1288 @t1652))) % 53.50/53.71 (define @t1669 () (tptp.hBOOL (tptp.hAPP @t1273 @t1585))) % 53.50/53.71 (define @t1670 () (not @t1669)) % 53.50/53.71 (define @t1671 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t1652) @t33))) % 53.50/53.71 (define @t1672 () (and @t1462 @t1577)) % 53.50/53.71 (define @t1673 () (tptp.hBOOL (tptp.hAPP @t1288 @t1658))) % 53.50/53.71 (define @t1674 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t1658) @t33))) % 53.50/53.71 (define @t1675 () (tptp.hAPP @t160 @t1547)) % 53.50/53.71 (define @t1676 () (tptp.hAPP @t368 @t3)) % 53.50/53.71 (define @t1677 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1652) @t33))) % 53.50/53.71 (define @t1678 () (tptp.hBOOL (tptp.hAPP @t1267 @t1652))) % 53.50/53.71 (define @t1679 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1658) @t33))) % 53.50/53.71 (define @t1680 () (tptp.hBOOL (tptp.hAPP @t1267 @t1658))) % 53.50/53.71 (define @t1681 () (tptp.hAPP @t160 @t1585)) % 53.50/53.71 (define @t1682 () (@list @t200 @t197 @t8 @t98)) % 53.50/53.71 (define @t1683 () (@var "V_f1_2" $$unsorted)) % 53.50/53.71 (define @t1684 () (tptp.hAPP (tptp.hAPP @t1683 @t13) @t33)) % 53.50/53.71 (define @t1685 () (@var "T_d" $$unsorted)) % 53.50/53.71 (define @t1686 () (tptp.c_Nitpick_Opair__box_OPairBox @t49 @t1685 @t13 @t33)) % 53.50/53.71 (define @t1687 () (@list @t33 @t13 @t1683 @t8 @t1685 @t49)) % 53.50/53.71 (define @t1688 () (tptp.hAPP @t1587 (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t243))) % 53.50/53.71 (define @t1689 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t25)) % 53.50/53.71 (define @t1690 () (= @t1689 @t48)) % 53.50/53.71 (define @t1691 () (tptp.hAPP @t1587 (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 @t243))) % 53.50/53.71 (define @t1692 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 @t25)) % 53.50/53.71 (define @t1693 () (tptp.hAPP (tptp.hAPP @t1662 @t48) @t25)) % 53.50/53.71 (define @t1694 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t55)) % 53.50/53.71 (define @t1695 () (@var "V_l_2" $$unsorted)) % 53.50/53.71 (define @t1696 () (tptp.hAPP @t1599 @t676)) % 53.50/53.71 (define @t1697 () (tptp.hBOOL (tptp.hAPP @t1696 @t1695))) % 53.50/53.71 (define @t1698 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 53.50/53.71 (define @t1699 () (tptp.hAPP @t1698 @t1695)) % 53.50/53.71 (define @t1700 () (tptp.hAPP @t1698 @t676)) % 53.50/53.71 (define @t1701 () (@list @t1695 @t676)) % 53.50/53.71 (define @t1702 () (tptp.hAPP @t1698 @t1474)) % 53.50/53.71 (define @t1703 () (tptp.hAPP @t1698 @t1132)) % 53.50/53.71 (define @t1704 () (@list @t1474 @t1132)) % 53.50/53.71 (define @t1705 () (tptp.hAPP @t1604 @t676)) % 53.50/53.71 (define @t1706 () (tptp.hBOOL (tptp.hAPP @t1705 @t1695))) % 53.50/53.71 (define @t1707 () (tptp.hAPP @t1617 @t1703)) % 53.50/53.71 (define @t1708 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 53.50/53.71 (define @t1709 () (tptp.hAPP @t1617 @t1708)) % 53.50/53.71 (define @t1710 () (tptp.hAPP @t1709 @t216)) % 53.50/53.71 (define @t1711 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 53.50/53.71 (define @t1712 () (tptp.hAPP @t1604 @t1711)) % 53.50/53.71 (define @t1713 () (tptp.hAPP @t1599 @t1711)) % 53.50/53.71 (define @t1714 () (tptp.hBOOL (tptp.hAPP @t1713 @t216))) % 53.50/53.71 (define @t1715 () (@list @t216)) % 53.50/53.71 (define @t1716 () (tptp.hBOOL (tptp.hAPP @t1712 @t79))) % 53.50/53.71 (define @t1717 () (tptp.hAPP @t1599 @t1708)) % 53.50/53.71 (define @t1718 () (@list @t79)) % 53.50/53.71 (define @t1719 () (and (= @t673 @t1708) (= @t672 @t1708))) % 53.50/53.71 (define @t1720 () (= (tptp.hAPP (tptp.hAPP @t1624 @t673) @t672) @t1708)) % 53.50/53.71 (define @t1721 () (tptp.hAPP @t1624 @t726)) % 53.50/53.71 (define @t1722 () (tptp.hBOOL (tptp.hAPP @t1712 @t726))) % 53.50/53.71 (define @t1723 () (tptp.hAPP @t1604 @t730)) % 53.50/53.71 (define @t1724 () (tptp.hBOOL (tptp.hAPP @t1723 @t727))) % 53.50/53.71 (define @t1725 () (tptp.hAPP @t1617 @t216)) % 53.50/53.71 (define @t1726 () (tptp.hAPP @t1604 @t79)) % 53.50/53.71 (define @t1727 () (tptp.hBOOL (tptp.hAPP @t1726 @t1711))) % 53.50/53.71 (define @t1728 () (= @t881 @t79)) % 53.50/53.71 (define @t1729 () (tptp.hAPP @t1604 @t881)) % 53.50/53.71 (define @t1730 () (tptp.hBOOL (tptp.hAPP @t1729 @t79))) % 53.50/53.71 (define @t1731 () (tptp.hBOOL (tptp.hAPP @t1729 (tptp.hAPP (tptp.hAPP @t1617 @t79) @t1708)))) % 53.50/53.71 (define @t1732 () (@list @t79 @t881)) % 53.50/53.71 (define @t1733 () (tptp.hAPP @t1617 @t730)) % 53.50/53.71 (define @t1734 () (tptp.hAPP @t1617 @t1474)) % 53.50/53.71 (define @t1735 () (tptp.hAPP @t1734 @t216)) % 53.50/53.71 (define @t1736 () (tptp.hAPP @t1725 @t1474)) % 53.50/53.71 (define @t1737 () (@list @t1474 @t216)) % 53.50/53.71 (define @t1738 () (tptp.hAPP @t1617 @t97)) % 53.50/53.71 (define @t1739 () (tptp.hAPP @t1617 @t152)) % 53.50/53.71 (define @t1740 () (@var "V_z3" $$unsorted)) % 53.50/53.71 (define @t1741 () (@var "V_z2" $$unsorted)) % 53.50/53.71 (define @t1742 () (@var "V_z1" $$unsorted)) % 53.50/53.71 (define @t1743 () (tptp.hAPP @t1617 @t1742)) % 53.50/53.71 (define @t1744 () (tptp.hAPP @t1743 @t1741)) % 53.50/53.71 (define @t1745 () (@list @t1740 @t1741 @t1742)) % 53.50/53.71 (define @t1746 () (tptp.hAPP @t1624 @t1741)) % 53.50/53.71 (define @t1747 () (tptp.hAPP @t1746 @t1474)) % 53.50/53.71 (define @t1748 () (tptp.hAPP @t1624 @t1742)) % 53.50/53.71 (define @t1749 () (tptp.hAPP @t1748 @t1474)) % 53.50/53.71 (define @t1750 () (@list @t1474 @t1741 @t1742)) % 53.50/53.71 (define @t1751 () (tptp.hAPP @t1624 @t1474)) % 53.50/53.71 (define @t1752 () (tptp.hAPP @t1751 @t1741)) % 53.50/53.71 (define @t1753 () (tptp.hAPP @t1751 @t1742)) % 53.50/53.71 (define @t1754 () (@list @t1741 @t1742 @t1474)) % 53.50/53.71 (define @t1755 () (tptp.hAPP @t1604 @t152)) % 53.50/53.71 (define @t1756 () (tptp.hAPP @t1604 @t97)) % 53.50/53.71 (define @t1757 () (tptp.hAPP (tptp.hAPP @t1632 @t1742) @t1741)) % 53.50/53.71 (define @t1758 () (tptp.hAPP @t1751 @t216)) % 53.50/53.71 (define @t1759 () (tptp.hAPP @t1624 @t216)) % 53.50/53.71 (define @t1760 () (tptp.hAPP @t1759 @t1474)) % 53.50/53.71 (define @t1761 () (tptp.hAPP @t1599 @t79)) % 53.50/53.71 (define @t1762 () (@list @t881 @t79)) % 53.50/53.71 (define @t1763 () (tptp.hAPP @t1599 @t1474)) % 53.50/53.71 (define @t1764 () (@list @t1474)) % 53.50/53.71 (define @t1765 () (tptp.hBOOL (tptp.hAPP @t1763 @t216))) % 53.50/53.71 (define @t1766 () (tptp.hAPP @t1599 @t216)) % 53.50/53.71 (define @t1767 () (tptp.hBOOL (tptp.hAPP @t1766 @t1474))) % 53.50/53.71 (define @t1768 () (tptp.hAPP @t1599 @t730)) % 53.50/53.71 (define @t1769 () (tptp.hBOOL (tptp.hAPP @t1768 @t727))) % 53.50/53.71 (define @t1770 () (tptp.hAPP @t1632 @t79)) % 53.50/53.71 (define @t1771 () (tptp.hAPP @t1599 @t881)) % 53.50/53.71 (define @t1772 () (@var "V_z_H" $$unsorted)) % 53.50/53.71 (define @t1773 () (@var "V_w_H" $$unsorted)) % 53.50/53.71 (define @t1774 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1772) @t216))) % 53.50/53.71 (define @t1775 () (tptp.hAPP @t1617 @t726)) % 53.50/53.71 (define @t1776 () (tptp.hBOOL (tptp.hAPP @t1771 @t79))) % 53.50/53.71 (define @t1777 () (tptp.hAPP @t1617 @t881)) % 53.50/53.71 (define @t1778 () (@list @t216 @t1474)) % 53.50/53.71 (define @t1779 () (tptp.hAPP @t1587 @t1692)) % 53.50/53.71 (define @t1780 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1689) @t25))) % 53.50/53.71 (define @t1781 () (tptp.hAPP @t1587 @t1689)) % 53.50/53.71 (define @t1782 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 @t55)) % 53.50/53.71 (define @t1783 () (=> @t68 (= @t1782 @t1779))) % 53.50/53.71 (define @t1784 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 @t88)) % 53.50/53.71 (define @t1785 () (tptp.hAPP (tptp.hAPP @t1545 @t1692) @t1784)) % 53.50/53.71 (define @t1786 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 @t131)) % 53.50/53.71 (define @t1787 () (= @t1786 @t1785)) % 53.50/53.71 (define @t1788 () (@var "V_M_2" $$unsorted)) % 53.50/53.71 (define @t1789 () (@var "V_N_2" $$unsorted)) % 53.50/53.71 (define @t1790 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1789)) % 53.50/53.71 (define @t1791 () (tptp.hBOOL (tptp.hAPP @t334 @t1789))) % 53.50/53.71 (define @t1792 () (not (= @t1788 @t30))) % 53.50/53.71 (define @t1793 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t1788) @t1789))) % 53.50/53.71 (define @t1794 () (@list @t1789 @t1788 @t8)) % 53.50/53.71 (define @t1795 () (tptp.hAPP (tptp.hAPP @t1662 @t13) @t25)) % 53.50/53.71 (define @t1796 () (=> @t68 (= @t1694 @t1781))) % 53.50/53.71 (define @t1797 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t88)) % 53.50/53.71 (define @t1798 () (tptp.hAPP (tptp.hAPP @t1545 @t1689) @t1797)) % 53.50/53.71 (define @t1799 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t131)) % 53.50/53.71 (define @t1800 () (= @t1799 @t1798)) % 53.50/53.71 (define @t1801 () (@var "V_q" $$unsorted)) % 53.50/53.71 (define @t1802 () (tptp.hAPP @t1604 @t1309)) % 53.50/53.71 (define @t1803 () (tptp.hAPP @t1624 @t197)) % 53.50/53.71 (define @t1804 () (tptp.hAPP @t1803 @t1801)) % 53.50/53.71 (define @t1805 () (= @t197 (tptp.hAPP (tptp.hAPP @t1617 @t1309) @t1804))) % 53.50/53.71 (define @t1806 () (tptp.hBOOL (tptp.hAPP @t1712 @t197))) % 53.50/53.71 (define @t1807 () (@list @t1801 @t1309 @t197)) % 53.50/53.71 (define @t1808 () (tptp.hAPP @t1599 @t1801)) % 53.50/53.71 (define @t1809 () (tptp.hBOOL (tptp.hAPP @t1713 @t1309))) % 53.50/53.71 (define @t1810 () (@var "V_q_H" $$unsorted)) % 53.50/53.71 (define @t1811 () (@var "V_b_H" $$unsorted)) % 53.50/53.71 (define @t1812 () (tptp.hBOOL (tptp.hAPP @t1712 @t1811))) % 53.50/53.71 (define @t1813 () (@var "V_r_H" $$unsorted)) % 53.50/53.71 (define @t1814 () (tptp.hAPP @t1604 @t1813)) % 53.50/53.71 (define @t1815 () (tptp.hBOOL (tptp.hAPP @t1814 @t1811))) % 53.50/53.71 (define @t1816 () (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP (tptp.hAPP @t1624 @t1811) @t1810)) @t1813)) % 53.50/53.71 (define @t1817 () (tptp.hBOOL (tptp.hAPP @t1713 @t1816))) % 53.50/53.71 (define @t1818 () (@list @t1813 @t1810 @t1811)) % 53.50/53.71 (define @t1819 () (tptp.hAPP @t1599 @t1810)) % 53.50/53.71 (define @t1820 () (tptp.hBOOL (tptp.hAPP @t1713 @t1813))) % 53.50/53.71 (define @t1821 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1816) @t1711))) % 53.50/53.71 (define @t1822 () (tptp.hBOOL (tptp.hAPP @t1819 @t1801))) % 53.50/53.71 (define @t1823 () (tptp.hBOOL (tptp.hAPP @t1802 @t200))) % 53.50/53.71 (define @t1824 () (tptp.hAPP @t1624 @t200)) % 53.50/53.71 (define @t1825 () (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t1824 @t1801)) @t1309)) % 53.50/53.71 (define @t1826 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t1824 @t1810)) @t1813)) @t1825))) % 53.50/53.71 (define @t1827 () (@list @t1309 @t1801 @t1813 @t1810 @t200)) % 53.50/53.71 (define @t1828 () (tptp.hBOOL (tptp.hAPP @t1808 @t1810))) % 53.50/53.71 (define @t1829 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1811) @t200))) % 53.50/53.71 (define @t1830 () (= @t1825 @t1816)) % 53.50/53.71 (define @t1831 () (@list @t1813 @t1810 @t1811 @t1309 @t1801 @t200)) % 53.50/53.71 (define @t1832 () (tptp.hAPP @t1604 @t200)) % 53.50/53.71 (define @t1833 () (tptp.hBOOL (tptp.hAPP @t1832 @t1309))) % 53.50/53.71 (define @t1834 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1309) @t1711))) % 53.50/53.71 (define @t1835 () (@list @t726)) % 53.50/53.71 (define @t1836 () (tptp.hAPP (tptp.hAPP @t1624 @t97) @t152)) % 53.50/53.71 (define @t1837 () (tptp.hBOOL (tptp.hAPP @t1713 @t152))) % 53.50/53.71 (define @t1838 () (tptp.hBOOL (tptp.hAPP @t1713 @t97))) % 53.50/53.71 (define @t1839 () (tptp.hAPP @t1738 @t152)) % 53.50/53.71 (define @t1840 () (tptp.hAPP (tptp.hAPP @t1545 @t3) @t429)) % 53.50/53.71 (define @t1841 () (forall @t435 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1840) @t437)))) % 53.50/53.71 (define @t1842 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t98)) % 53.50/53.71 (define @t1843 () (tptp.hAPP @t1842 @t1534)) % 53.50/53.71 (define @t1844 () (= @t1843 @t1135)) % 53.50/53.71 (define @t1845 () (tptp.hBOOL (tptp.hAPP @t1713 @t1703))) % 53.50/53.71 (define @t1846 () (= @t1843 @t1614)) % 53.50/53.71 (define @t1847 () (@list @t1132 @t98)) % 53.50/53.71 (define @t1848 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8)) % 53.50/53.71 (define @t1849 () (tptp.hAPP @t1848 @t672)) % 53.50/53.71 (define @t1850 () (tptp.hAPP @t1848 @t673)) % 53.50/53.71 (define @t1851 () (tptp.class_Nat_Osemiring__char__0 @t8)) % 53.50/53.71 (define @t1852 () (@list @t672 @t673 @t8)) % 53.50/53.71 (define @t1853 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 53.50/53.71 (define @t1854 () (tptp.hAPP @t1853 @t1157)) % 53.50/53.71 (define @t1855 () (tptp.hAPP @t1853 @t216)) % 53.50/53.71 (define @t1856 () (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t1853 @t3)))) % 53.50/53.71 (define @t1857 () (tptp.hBOOL (tptp.hAPP @t1713 @t3))) % 53.50/53.71 (define @t1858 () (@list @t178)) % 53.50/53.71 (define @t1859 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t48) @t57))) % 53.50/53.71 (define @t1860 () (tptp.hAPP @t1853 @t57)) % 53.50/53.71 (define @t1861 () (tptp.hAPP @t1853 @t48)) % 53.50/53.71 (define @t1862 () (@list @t57 @t48)) % 53.50/53.71 (define @t1863 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t48) @t57))) % 53.50/53.71 (define @t1864 () (tptp.hAPP @t1853 @t152)) % 53.50/53.71 (define @t1865 () (tptp.hAPP @t1853 @t97)) % 53.50/53.71 (define @t1866 () (tptp.hAPP (tptp.hAPP @t704 @t97) @t152)) % 53.50/53.71 (define @t1867 () (tptp.hAPP @t1853 @t638)) % 53.50/53.71 (define @t1868 () (tptp.hAPP @t1853 @t672)) % 53.50/53.71 (define @t1869 () (tptp.hAPP @t1853 @t658)) % 53.50/53.71 (define @t1870 () (tptp.hAPP @t1853 @t726)) % 53.50/53.71 (define @t1871 () (tptp.hAPP @t1853 @t673)) % 53.50/53.71 (define @t1872 () (tptp.hAPP @t1604 @t1871)) % 53.50/53.71 (define @t1873 () (tptp.hAPP @t1853 @t818)) % 53.50/53.71 (define @t1874 () (tptp.hAPP @t1853 @t662)) % 53.50/53.71 (define @t1875 () (tptp.hAPP @t1617 @t1874)) % 53.50/53.71 (define @t1876 () (@var "B_n" $$unsorted)) % 53.50/53.71 (define @t1877 () (tptp.hAPP @t1853 @t1876)) % 53.50/53.71 (define @t1878 () (@list @t1876)) % 53.50/53.71 (define @t1879 () (tptp.hAPP @t1842 @t662)) % 53.50/53.71 (define @t1880 () (tptp.hAPP @t1842 @t658)) % 53.50/53.71 (define @t1881 () (@list @t658 @t98)) % 53.50/53.71 (define @t1882 () (tptp.hAPP @t366 @t1879)) % 53.50/53.71 (define @t1883 () (tptp.hAPP @t1853 @t816)) % 53.50/53.71 (define @t1884 () (tptp.hAPP (tptp.hAPP @t1624 @t1874) @t1869)) % 53.50/53.71 (define @t1885 () (tptp.class_Rings_Osemiring__1 @t98)) % 53.50/53.71 (define @t1886 () (tptp.hBOOL (tptp.hAPP @t1882 @t1880))) % 53.50/53.71 (define @t1887 () (tptp.class_Rings_Olinordered__semidom @t8)) % 53.50/53.71 (define @t1888 () (tptp.hAPP @t75 @t1849)) % 53.50/53.71 (define @t1889 () (@list @t672 @t8)) % 53.50/53.71 (define @t1890 () (tptp.hAPP @t1599 @t1868)) % 53.50/53.71 (define @t1891 () (tptp.hAPP @t1853 (tptp.hAPP tptp.c_Nat_OSuc @t1876))) % 53.50/53.71 (define @t1892 () (tptp.class_Rings_Oring__1 @t98)) % 53.50/53.71 (define @t1893 () (tptp.hAPP @t1624 @t1870)) % 53.50/53.71 (define @t1894 () (tptp.hBOOL (tptp.hAPP @t178 @t1711))) % 53.50/53.71 (define @t1895 () (tptp.hAPP @t595 @t57)) % 53.50/53.71 (define @t1896 () (tptp.hAPP @t541 @t48)) % 53.50/53.71 (define @t1897 () (tptp.hAPP @t1896 @t57)) % 53.50/53.71 (define @t1898 () (@var "V_K_2" $$unsorted)) % 53.50/53.71 (define @t1899 () (tptp.hAPP @t2 @t1415)) % 53.50/53.71 (define @t1900 () (tptp.hAPP @t75 @t1415)) % 53.50/53.71 (define @t1901 () (tptp.c_Nat__Transfer_Otsub @t97 @t152)) % 53.50/53.71 (define @t1902 () (tptp.hAPP @t1599 @t152)) % 53.50/53.71 (define @t1903 () (tptp.hBOOL (tptp.hAPP @t1902 @t97))) % 53.50/53.71 (define @t1904 () (tptp.hAPP @t1632 @t97)) % 53.50/53.71 (define @t1905 () (tptp.hAPP @t1904 @t152)) % 53.50/53.71 (define @t1906 () (=> @t1903 (= @t1901 @t1905))) % 53.50/53.71 (define @t1907 () (@list @t97 @t152)) % 53.50/53.71 (define @t1908 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1703))) % 53.50/53.71 (define @t1909 () (not @t1908)) % 53.50/53.71 (define @t1910 () (@var "V_v_H" $$unsorted)) % 53.50/53.71 (define @t1911 () (tptp.hAPP @t1533 (tptp.hAPP @t1625 @t1910))) % 53.50/53.71 (define @t1912 () (tptp.hAPP @t1533 @t1910)) % 53.50/53.71 (define @t1913 () (tptp.hAPP @t704 @t1534)) % 53.50/53.71 (define @t1914 () (tptp.hAPP @t1913 (tptp.hAPP (tptp.hAPP @t704 @t1912) @t726))) % 53.50/53.71 (define @t1915 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1132) tptp.c_Int_OPls))) % 53.50/53.71 (define @t1916 () (not @t1915)) % 53.50/53.71 (define @t1917 () (@list @t726 @t1910 @t1132)) % 53.50/53.71 (define @t1918 () (tptp.hAPP @t1913 @t1912)) % 53.50/53.71 (define @t1919 () (@list @t1910 @t1132)) % 53.50/53.71 (define @t1920 () (tptp.hAPP @t1545 @t33)) % 53.50/53.71 (define @t1921 () (tptp.hAPP @t1698 tptp.c_Int_OPls)) % 53.50/53.71 (define @t1922 () (tptp.hAPP @t1599 tptp.c_Int_OPls)) % 53.50/53.71 (define @t1923 () (tptp.hAPP @t1604 tptp.c_Int_OPls)) % 53.50/53.71 (define @t1924 () (tptp.hAPP @t1617 tptp.c_Int_OPls)) % 53.50/53.71 (define @t1925 () (tptp.hAPP @t1632 @t726)) % 53.50/53.71 (define @t1926 () (tptp.hAPP @t1612 tptp.c_Int_OPls)) % 53.50/53.71 (define @t1927 () (tptp.hAPP @t1533 tptp.c_Int_OPls)) % 53.50/53.71 (define @t1928 () (tptp.hBOOL (tptp.hAPP @t1713 @t48))) % 53.50/53.71 (define @t1929 () (@list @t48)) % 53.50/53.71 (define @t1930 () (@var "V_Z_2" $$unsorted)) % 53.50/53.71 (define @t1931 () (and @t1475 @t1621)) % 53.50/53.71 (define @t1932 () (tptp.hAPP @t1599 @t1088)) % 53.50/53.71 (define @t1933 () (tptp.hBOOL (tptp.hAPP @t1932 tptp.c_Int_OPls))) % 53.50/53.71 (define @t1934 () (tptp.hAPP @t1533 @t1088)) % 53.50/53.71 (define @t1935 () (= @t1934 @t1157)) % 53.50/53.71 (define @t1936 () (@list @t1088)) % 53.50/53.71 (define @t1937 () (@var "V_v_H_2" $$unsorted)) % 53.50/53.71 (define @t1938 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1088) @t1937))) % 53.50/53.71 (define @t1939 () (tptp.hAPP @t1533 @t1937)) % 53.50/53.71 (define @t1940 () (tptp.hAPP @t506 @t1934)) % 53.50/53.71 (define @t1941 () (@list @t1937 @t1088)) % 53.50/53.71 (define @t1942 () (tptp.hAPP @t595 @t1934)) % 53.50/53.71 (define @t1943 () (= @t1534 @t1157)) % 53.50/53.71 (define @t1944 () (tptp.hAPP @t1853 @t1534)) % 53.50/53.71 (define @t1945 () (@list @t57 @t8)) % 53.50/53.71 (define @t1946 () (tptp.hAPP @t1533 (tptp.hAPP @t1618 @t1910))) % 53.50/53.71 (define @t1947 () (tptp.hAPP @t796 @t1534)) % 53.50/53.71 (define @t1948 () (tptp.hAPP @t1947 @t1912)) % 53.50/53.71 (define @t1949 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1910) tptp.c_Int_OPls))) % 53.50/53.71 (define @t1950 () (tptp.hAPP @t1698 @t1937)) % 53.50/53.71 (define @t1951 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1950))) % 53.50/53.71 (define @t1952 () (tptp.hAPP @t1698 @t1088)) % 53.50/53.71 (define @t1953 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1952))) % 53.50/53.71 (define @t1954 () (tptp.hAPP (tptp.hAPP @t796 @t1912) @t726)) % 53.50/53.71 (define @t1955 () (tptp.hAPP @t1947 @t1954)) % 53.50/53.71 (define @t1956 () (tptp.hAPP @t1698 @t1910)) % 53.50/53.71 (define @t1957 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1956))) % 53.50/53.71 (define @t1958 () (not @t1957)) % 53.50/53.71 (define @t1959 () (tptp.hAPP @t1533 (tptp.c_Int_Osucc @t1132))) % 53.50/53.71 (define @t1960 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1947 @t658))) % 53.50/53.71 (define @t1961 () (@list @t658 @t1132)) % 53.50/53.71 (define @t1962 () (tptp.hAPP tptp.c_Nat_OSuc @t1534)) % 53.50/53.71 (define @t1963 () (tptp.hAPP @t797 @t1534)) % 53.50/53.71 (define @t1964 () (tptp.hAPP @t1947 @t638)) % 53.50/53.71 (define @t1965 () (tptp.hAPP @t1533 (tptp.c_Int_Opred @t1132))) % 53.50/53.71 (define @t1966 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1132) tptp.c_Int_OPls))) % 53.50/53.71 (define @t1967 () (tptp.c_Nat_Osemiring__1__class_ONats @t8)) % 53.50/53.71 (define @t1968 () (@list @t97)) % 53.50/53.71 (define @t1969 () (tptp.c_Int_Opred @t726)) % 53.50/53.71 (define @t1970 () (tptp.c_Int_Osucc @t726)) % 53.50/53.71 (define @t1971 () (tptp.class_Rings_Osemiring__1 @t8)) % 53.50/53.71 (define @t1972 () (tptp.hBOOL (tptp.hAPP @t76 @t1967))) % 53.50/53.71 (define @t1973 () (tptp.hBOOL (tptp.hAPP @t117 @t1967))) % 53.50/53.71 (define @t1974 () (tptp.hAPP @t1612 @t726)) % 53.50/53.71 (define @t1975 () (@list @t726 @t98)) % 53.50/53.71 (define @t1976 () (tptp.hAPP @t1698 (tptp.c_Int_Opred @t1088))) % 53.50/53.71 (define @t1977 () (tptp.hAPP @t1624 @t676)) % 53.50/53.71 (define @t1978 () (tptp.hAPP @t1977 @t35)) % 53.50/53.71 (define @t1979 () (tptp.hAPP @t1632 @t3)) % 53.50/53.71 (define @t1980 () (tptp.hAPP @t1713 @t676)) % 53.50/53.71 (define @t1981 () (tptp.hBOOL @t1980)) % 53.50/53.71 (define @t1982 () (tptp.hAPP @t1712 @t35)) % 53.50/53.71 (define @t1983 () (tptp.hBOOL @t1982)) % 53.50/53.71 (define @t1984 () (@list @t676 @t178 @t35)) % 53.50/53.71 (define @t1985 () (tptp.hAPP @t1617 @t3)) % 53.50/53.71 (define @t1986 () (tptp.hBOOL (tptp.hAPP @t1159 @t1876))) % 53.50/53.71 (define @t1987 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 53.50/53.71 (define @t1988 () (tptp.hAPP (tptp.hAPP @t1624 (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t1987 (tptp.hAPP @t1904 @t216))) @t1708)) @t284)) % 53.50/53.71 (define @t1989 () (tptp.hBOOL (tptp.hAPP @t1712 @t284))) % 53.50/53.71 (define @t1990 () (tptp.hAPP @t75 @t429)) % 53.50/53.71 (define @t1991 () (tptp.hBOOL (tptp.hAPP @t1990 @t25))) % 53.50/53.71 (define @t1992 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 53.50/53.71 (define @t1993 () (tptp.hAPP @t1533 @t1992)) % 53.50/53.71 (define @t1994 () (tptp.c_Groups_Oabs__class_Oabs @t98)) % 53.50/53.71 (define @t1995 () (tptp.hAPP @t1994 @t197)) % 53.50/53.71 (define @t1996 () (tptp.class_Groups_Oordered__ab__group__add__abs @t98)) % 53.50/53.71 (define @t1997 () (= @t676 @t1695)) % 53.50/53.71 (define @t1998 () (tptp.c_Int_OBit1 @t1695)) % 53.50/53.71 (define @t1999 () (tptp.c_Int_OBit1 @t676)) % 53.50/53.71 (define @t2000 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1995) @t200))) % 53.50/53.71 (define @t2001 () (tptp.c_Groups_Oabs__class_Oabs @t8)) % 53.50/53.71 (define @t2002 () (tptp.hAPP @t2001 @t13)) % 53.50/53.71 (define @t2003 () (tptp.class_Groups_Oordered__ab__group__add__abs @t8)) % 53.50/53.71 (define @t2004 () (tptp.hAPP @t1994 @t200)) % 53.50/53.71 (define @t2005 () (tptp.hAPP (tptp.hAPP @t834 @t1995) @t2004)) % 53.50/53.71 (define @t2006 () (tptp.hAPP @t473 @t1995)) % 53.50/53.71 (define @t2007 () (tptp.hAPP @t2006 @t2004)) % 53.50/53.71 (define @t2008 () (= (tptp.hAPP @t1994 @t477) @t2007)) % 53.50/53.71 (define @t2009 () (tptp.hAPP @t913 @t200)) % 53.50/53.71 (define @t2010 () (tptp.hAPP @t2009 @t197)) % 53.50/53.71 (define @t2011 () (tptp.hAPP @t1994 @t2010)) % 53.50/53.71 (define @t2012 () (tptp.hAPP @t1994 @t915)) % 53.50/53.71 (define @t2013 () (= (tptp.hAPP @t1994 @t1488) (tptp.hAPP (tptp.hAPP @t1427 @t1995) @t2004))) % 53.50/53.71 (define @t2014 () (@var "V_k2_2" $$unsorted)) % 53.50/53.71 (define @t2015 () (@var "V_k1_2" $$unsorted)) % 53.50/53.71 (define @t2016 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t2015) @t2014))) % 53.50/53.71 (define @t2017 () (tptp.c_Int_OBit1 @t2014)) % 53.50/53.71 (define @t2018 () (tptp.c_Int_OBit1 @t2015)) % 53.50/53.71 (define @t2019 () (tptp.hAPP @t1599 @t2018)) % 53.50/53.71 (define @t2020 () (@list @t2014 @t2015)) % 53.50/53.71 (define @t2021 () (tptp.hAPP @t1599 @t1999)) % 53.50/53.71 (define @t2022 () (tptp.hAPP @t1604 @t1999)) % 53.50/53.71 (define @t2023 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t2015) @t2014))) % 53.50/53.71 (define @t2024 () (tptp.hAPP @t1604 @t2018)) % 53.50/53.71 (define @t2025 () (tptp.c_Int_OBit1 @t726)) % 53.50/53.71 (define @t2026 () (tptp.c_Int_OBit1 @t740)) % 53.50/53.71 (define @t2027 () (@list @t740)) % 53.50/53.71 (define @t2028 () (= @t1995 @t197)) % 53.50/53.71 (define @t2029 () (tptp.hAPP @t160 @t2002)) % 53.50/53.71 (define @t2030 () (tptp.hAPP @t366 @t1995)) % 53.50/53.71 (define @t2031 () (not @t1176)) % 53.50/53.71 (define @t2032 () (tptp.hAPP (tptp.hAPP @t913 @t1995) @t2004)) % 53.50/53.71 (define @t2033 () (tptp.hAPP @t99 @t2032)) % 53.50/53.71 (define @t2034 () (tptp.hBOOL (tptp.hAPP @t1729 @t1711))) % 53.50/53.71 (define @t2035 () (tptp.c_Int_OBit1 @t881)) % 53.50/53.71 (define @t2036 () (@list @t881)) % 53.50/53.71 (define @t2037 () (tptp.hAPP (tptp.hAPP @t1624 @t662) @t658)) % 53.50/53.71 (define @t2038 () (tptp.hBOOL (tptp.hAPP @t1922 @t676))) % 53.50/53.71 (define @t2039 () (@list @t676)) % 53.50/53.71 (define @t2040 () (tptp.hBOOL (tptp.hAPP @t1705 tptp.c_Int_OPls))) % 53.50/53.71 (define @t2041 () (tptp.hAPP @t1698 @t881)) % 53.50/53.71 (define @t2042 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2041))) % 53.50/53.71 (define @t2043 () (tptp.hAPP @t1994 @t97)) % 53.50/53.71 (define @t2044 () (tptp.hAPP @t962 @t1613)) % 53.50/53.71 (define @t2045 () (tptp.hAPP @t1612 (tptp.c_Int_OBit1 @t1474))) % 53.50/53.71 (define @t2046 () (@list @t1474 @t98)) % 53.50/53.71 (define @t2047 () (= @t79 @t1711)) % 53.50/53.71 (define @t2048 () (tptp.hAPP @t1612 @t1992)) % 53.50/53.71 (define @t2049 () (and @t1516 @t1621)) % 53.50/53.71 (define @t2050 () (tptp.hAPP tptp.c_Nat_OSuc @t1322)) % 53.50/53.71 (define @t2051 () (tptp.c_Int_OBit1 @t1992)) % 53.50/53.71 (define @t2052 () (tptp.hAPP @t1533 @t2051)) % 53.50/53.71 (define @t2053 () (tptp.hAPP @t1698 @t2051)) % 53.50/53.71 (define @t2054 () (tptp.hAPP @t796 @t2052)) % 53.50/53.71 (define @t2055 () (tptp.hAPP @t2054 @t658)) % 53.50/53.71 (define @t2056 () (tptp.hAPP tptp.c_Nat_OSuc @t659)) % 53.50/53.71 (define @t2057 () (tptp.hAPP tptp.c_Nat_OSuc @t2056)) % 53.50/53.71 (define @t2058 () (tptp.hAPP @t368 @t641)) % 53.50/53.71 (define @t2059 () (tptp.hAPP @t1617 @t1992)) % 53.50/53.71 (define @t2060 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.71 (define @t2061 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.71 (define @t2062 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2063 () (tptp.hAPP @t2062 @t1992)) % 53.50/53.71 (define @t2064 () (tptp.hAPP @t2062 @t1474)) % 53.50/53.71 (define @t2065 () (tptp.c_Int_OBit0 @t1992)) % 53.50/53.71 (define @t2066 () (tptp.hAPP @t1533 @t2065)) % 53.50/53.71 (define @t2067 () (@var "V_r_2" $$unsorted)) % 53.50/53.71 (define @t2068 () (@list @t2067 @t8)) % 53.50/53.71 (define @t2069 () (tptp.hAPP @t1612 @t2065)) % 53.50/53.71 (define @t2070 () (tptp.hAPP @t2062 @t1869)) % 53.50/53.71 (define @t2071 () (tptp.hAPP @t1599 @t2070)) % 53.50/53.71 (define @t2072 () (tptp.hAPP @t2062 (tptp.hAPP @t1853 @t659))) % 53.50/53.71 (define @t2073 () (tptp.hAPP @t1604 @t2072)) % 53.50/53.71 (define @t2074 () (tptp.c_Groups_Ouminus__class_Ouminus @t98)) % 53.50/53.71 (define @t2075 () (tptp.hAPP @t2074 @t1613)) % 53.50/53.71 (define @t2076 () (tptp.hAPP @t1612 @t2064)) % 53.50/53.71 (define @t2077 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.71 (define @t2078 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.71 (define @t2079 () (tptp.hAPP @t2062 @t216)) % 53.50/53.71 (define @t2080 () (tptp.hAPP @t2062 @t726)) % 53.50/53.71 (define @t2081 () (tptp.c_Int_OBit0 @t726)) % 53.50/53.71 (define @t2082 () (tptp.c_Int_OBit0 @t1695)) % 53.50/53.71 (define @t2083 () (tptp.c_Int_OBit0 @t676)) % 53.50/53.71 (define @t2084 () (tptp.hAPP @t2074 @t97)) % 53.50/53.71 (define @t2085 () (tptp.class_Lattices_Oboolean__algebra @t98)) % 53.50/53.71 (define @t2086 () (tptp.c_Groups_Ouminus__class_Ouminus @t8)) % 53.50/53.71 (define @t2087 () (@list @t48 @t25 @t49 @t8)) % 53.50/53.71 (define @t2088 () (tptp.hAPP @t2086 @t57)) % 53.50/53.71 (define @t2089 () (tptp.hAPP @t2086 @t48)) % 53.50/53.71 (define @t2090 () (tptp.class_Lattices_Oboolean__algebra @t8)) % 53.50/53.71 (define @t2091 () (tptp.hAPP @t2074 @t197)) % 53.50/53.71 (define @t2092 () (tptp.hAPP @t2086 @t13)) % 53.50/53.71 (define @t2093 () (tptp.hAPP @t2086 @t33)) % 53.50/53.71 (define @t2094 () (= @t13 @t2093)) % 53.50/53.71 (define @t2095 () (@list @t216 @t1474 @t98)) % 53.50/53.71 (define @t2096 () (tptp.hAPP @t2074 @t200)) % 53.50/53.71 (define @t2097 () (tptp.hAPP @t160 @t2093)) % 53.50/53.71 (define @t2098 () (tptp.hAPP @t160 @t2092)) % 53.50/53.71 (define @t2099 () (tptp.hBOOL (tptp.hAPP @t2098 @t33))) % 53.50/53.71 (define @t2100 () (tptp.hAPP @t2074 @t152)) % 53.50/53.71 (define @t2101 () (tptp.hAPP @t368 @t2093)) % 53.50/53.71 (define @t2102 () (tptp.hAPP @t368 @t2092)) % 53.50/53.71 (define @t2103 () (tptp.hBOOL (tptp.hAPP @t2102 @t33))) % 53.50/53.71 (define @t2104 () (tptp.hAPP @t834 @t2091)) % 53.50/53.71 (define @t2105 () (tptp.hAPP @t2074 @t842)) % 53.50/53.71 (define @t2106 () (tptp.class_Groups_Oab__group__add @t98)) % 53.50/53.71 (define @t2107 () (tptp.class_Rings_Oidom @t8)) % 53.50/53.71 (define @t2108 () (tptp.hAPP @t473 @t2091)) % 53.50/53.71 (define @t2109 () (tptp.class_Rings_Oring @t98)) % 53.50/53.71 (define @t2110 () (tptp.hAPP @t476 @t2096)) % 53.50/53.71 (define @t2111 () (tptp.hAPP @t2108 @t200)) % 53.50/53.71 (define @t2112 () (tptp.hAPP @t2074 @t477)) % 53.50/53.71 (define @t2113 () (tptp.hAPP @t1599 @t2083)) % 53.50/53.71 (define @t2114 () (tptp.c_Int_OBit0 @t2014)) % 53.50/53.71 (define @t2115 () (tptp.c_Int_OBit0 @t2015)) % 53.50/53.71 (define @t2116 () (tptp.hAPP @t1599 @t2115)) % 53.50/53.71 (define @t2117 () (tptp.hAPP @t1604 @t2115)) % 53.50/53.71 (define @t2118 () (tptp.hAPP @t1604 @t2083)) % 53.50/53.71 (define @t2119 () (@list @t1695)) % 53.50/53.71 (define @t2120 () (@list @t740 @t726)) % 53.50/53.71 (define @t2121 () (tptp.c_Int_OBit0 @t740)) % 53.50/53.71 (define @t2122 () (tptp.hAPP @t1775 @t740)) % 53.50/53.71 (define @t2123 () (tptp.hAPP @t1617 @t2081)) % 53.50/53.71 (define @t2124 () (tptp.hAPP @t1427 @t2091)) % 53.50/53.71 (define @t2125 () (tptp.hAPP @t2074 @t1488)) % 53.50/53.71 (define @t2126 () (= @t2125 (tptp.hAPP @t1429 @t2096))) % 53.50/53.71 (define @t2127 () (= (tptp.hAPP @t2124 @t2096) @t1488)) % 53.50/53.71 (define @t2128 () (tptp.c_Int_OBit0 (tptp.hAPP @t1721 @t740))) % 53.50/53.71 (define @t2129 () (tptp.hAPP @t2062 tptp.c_Int_OPls)) % 53.50/53.71 (define @t2130 () (tptp.hAPP @t1617 @t2079)) % 53.50/53.71 (define @t2131 () (tptp.hAPP @t2062 @t1702)) % 53.50/53.71 (define @t2132 () (tptp.hAPP @t1925 @t740)) % 53.50/53.71 (define @t2133 () (tptp.c_Int_OBit0 @t2132)) % 53.50/53.71 (define @t2134 () (tptp.hAPP @t1632 @t2081)) % 53.50/53.71 (define @t2135 () (= (tptp.hAPP @t2104 @t197) @t1135)) % 53.50/53.71 (define @t2136 () (tptp.hAPP @t1525 @t152)) % 53.50/53.71 (define @t2137 () (tptp.class_Rings_Ocomm__ring__1 @t98)) % 53.50/53.71 (define @t2138 () (= @t915 (tptp.hAPP @t840 @t2096))) % 53.50/53.71 (define @t2139 () (tptp.hAPP @t2074 @t645)) % 53.50/53.71 (define @t2140 () (tptp.hAPP @t2086 @t641)) % 53.50/53.71 (define @t2141 () (tptp.class_Rings_Oring__1__no__zero__divisors @t8)) % 53.50/53.71 (define @t2142 () (tptp.hAPP @t510 @t2084)) % 53.50/53.71 (define @t2143 () (tptp.hAPP @t270 @t2084)) % 53.50/53.71 (define @t2144 () (tptp.hAPP @t99 @t2091)) % 53.50/53.71 (define @t2145 () (tptp.hBOOL (tptp.hAPP @t2144 @t200))) % 53.50/53.71 (define @t2146 () (tptp.c_Int_OBit0 @t881)) % 53.50/53.71 (define @t2147 () (tptp.c_Int_OBit1 @t2122)) % 53.50/53.71 (define @t2148 () (tptp.hAPP @t1617 @t2025)) % 53.50/53.71 (define @t2149 () (and @t1207 @t1210)) % 53.50/53.71 (define @t2150 () (tptp.hAPP @t1632 tptp.c_Int_OPls)) % 53.50/53.71 (define @t2151 () (tptp.hAPP @t1632 @t2025)) % 53.50/53.71 (define @t2152 () (tptp.hAPP @t1632 @t216)) % 53.50/53.71 (define @t2153 () (tptp.hAPP @t2152 @t1474)) % 53.50/53.71 (define @t2154 () (tptp.hAPP @t1725 @t2064)) % 53.50/53.71 (define @t2155 () (tptp.c_Int_OBit0 @t1474)) % 53.50/53.71 (define @t2156 () (tptp.hAPP @t1612 @t2155)) % 53.50/53.71 (define @t2157 () (= @t1995 @t2091)) % 53.50/53.71 (define @t2158 () (=> @t1285 @t2157)) % 53.50/53.71 (define @t2159 () (tptp.hAPP @t1618 @t2064)) % 53.50/53.71 (define @t2160 () (tptp.hAPP @t1612 @t2159)) % 53.50/53.71 (define @t2161 () (tptp.hAPP @t1987 @t730)) % 53.50/53.71 (define @t2162 () (tptp.hBOOL (tptp.hAPP @t1723 @t1711))) % 53.50/53.71 (define @t2163 () (@list @t730)) % 53.50/53.71 (define @t2164 () (tptp.hAPP @t1612 @t97)) % 53.50/53.71 (define @t2165 () (tptp.hAPP @t1994 @t2164)) % 53.50/53.71 (define @t2166 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t2164) @t1135))) % 53.50/53.71 (define @t2167 () (and @t1621 @t998)) % 53.50/53.71 (define @t2168 () (tptp.hAPP @t1698 @t658)) % 53.50/53.71 (define @t2169 () (tptp.hAPP @t1524 @t216)) % 53.50/53.71 (define @t2170 () (tptp.hAPP @t473 @t2069)) % 53.50/53.71 (define @t2171 () (@list @t216 @t98)) % 53.50/53.71 (define @t2172 () (tptp.hAPP @t1698 @t2065)) % 53.50/53.71 (define @t2173 () (tptp.hAPP (tptp.hAPP @t796 @t216) @t216)) % 53.50/53.71 (define @t2174 () (tptp.hAPP @t704 @t2066)) % 53.50/53.71 (define @t2175 () (tptp.hAPP @t1617 @t48)) % 53.50/53.71 (define @t2176 () (tptp.hAPP @t2062 @t57)) % 53.50/53.71 (define @t2177 () (tptp.hAPP (tptp.hAPP @t1617 @t200) @t1708)) % 53.50/53.71 (define @t2178 () (tptp.hAPP @t1624 @t2172)) % 53.50/53.71 (define @t2179 () (tptp.hAPP @t2178 @t197)) % 53.50/53.71 (define @t2180 () (tptp.hAPP @t2178 @t200)) % 53.50/53.71 (define @t2181 () (tptp.hAPP @t1709 @t2180)) % 53.50/53.71 (define @t2182 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2181 @t2179)) % 53.50/53.71 (define @t2183 () (tptp.hAPP @t1599 @t197)) % 53.50/53.71 (define @t2184 () (tptp.hBOOL (tptp.hAPP @t2183 @t1711))) % 53.50/53.71 (define @t2185 () (@list @t200 @t197)) % 53.50/53.71 (define @t2186 () (tptp.hAPP @t1707 @t1708)) % 53.50/53.71 (define @t2187 () (tptp.hAPP @t1698 @t2155)) % 53.50/53.71 (define @t2188 () (tptp.hAPP @t1698 (tptp.c_Int_OBit1 @t1132))) % 53.50/53.71 (define @t2189 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2188 @t2187)) % 53.50/53.71 (define @t2190 () (tptp.hBOOL (tptp.hAPP @t1713 @t1702))) % 53.50/53.71 (define @t2191 () (not @t2190)) % 53.50/53.71 (define @t2192 () (tptp.hAPP @t2178 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1703 @t1702))) % 53.50/53.71 (define @t2193 () (@list @t1132 @t1474)) % 53.50/53.71 (define @t2194 () (tptp.hBOOL (tptp.hAPP @t1713 @t197))) % 53.50/53.71 (define @t2195 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2196 () (tptp.hAPP (tptp.hAPP @t2195 @t2181) @t2179)) % 53.50/53.71 (define @t2197 () (tptp.c_Groups_Ouminus__class_Ouminus @t29)) % 53.50/53.71 (define @t2198 () (tptp.hAPP @t2197 @t25)) % 53.50/53.71 (define @t2199 () (tptp.hBOOL (tptp.hAPP @t105 @t2198))) % 53.50/53.71 (define @t2200 () (@list @t25 @t32 @t8)) % 53.50/53.71 (define @t2201 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t197 @t200)) % 53.50/53.71 (define @t2202 () (tptp.c_Divides_Odiv__class_Omod @t98 @t197 @t200)) % 53.50/53.71 (define @t2203 () (tptp.c_Divides_Odiv__class_Odiv @t98)) % 53.50/53.71 (define @t2204 () (tptp.class_Divides_Osemiring__div @t98)) % 53.50/53.71 (define @t2205 () (tptp.hAPP @t2195 @t197)) % 53.50/53.71 (define @t2206 () (@list @t197)) % 53.50/53.71 (define @t2207 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t200 @t196)) % 53.50/53.71 (define @t2208 () (tptp.hAPP @t2195 @t200)) % 53.50/53.71 (define @t2209 () (tptp.hAPP @t2208 @t196)) % 53.50/53.71 (define @t2210 () (tptp.hAPP @t1617 @t197)) % 53.50/53.71 (define @t2211 () (tptp.hAPP @t2210 @t200)) % 53.50/53.71 (define @t2212 () (tptp.hAPP @t2203 @t197)) % 53.50/53.71 (define @t2213 () (tptp.hAPP @t2212 @t200)) % 53.50/53.71 (define @t2214 () (tptp.hAPP (tptp.hAPP @t473 @t2213) @t200)) % 53.50/53.71 (define @t2215 () (tptp.hAPP (tptp.hAPP @t834 @t2214) @t2202)) % 53.50/53.71 (define @t2216 () (tptp.hAPP (tptp.hAPP @t834 (tptp.hAPP @t474 @t2213)) @t2202)) % 53.50/53.71 (define @t2217 () (tptp.hAPP @t2205 @t200)) % 53.50/53.71 (define @t2218 () (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t1824 @t2217)) @t2201)) % 53.50/53.71 (define @t2219 () (tptp.hAPP @t1803 @t2207)) % 53.50/53.71 (define @t2220 () (tptp.hAPP @t1803 @t200)) % 53.50/53.71 (define @t2221 () (tptp.hAPP @t2210 @t726)) % 53.50/53.71 (define @t2222 () (tptp.hAPP (tptp.hAPP @t2195 @t662) @t658)) % 53.50/53.71 (define @t2223 () (tptp.hAPP @t1632 @t662)) % 53.50/53.71 (define @t2224 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t662 @t658)) % 53.50/53.71 (define @t2225 () (@var "V_a_H" $$unsorted)) % 53.50/53.71 (define @t2226 () (tptp.c_Divides_Odiv__class_Omod @t98 @t842 @t196)) % 53.50/53.71 (define @t2227 () (tptp.c_Divides_Odiv__class_Omod @t98 @t200 @t196)) % 53.50/53.71 (define @t2228 () (= @t2227 (tptp.c_Divides_Odiv__class_Omod @t98 @t1811 @t196))) % 53.50/53.71 (define @t2229 () (tptp.c_Divides_Odiv__class_Omod @t98 @t197 @t196)) % 53.50/53.71 (define @t2230 () (= @t2229 (tptp.c_Divides_Odiv__class_Omod @t98 @t2225 @t196))) % 53.50/53.71 (define @t2231 () (@list @t1811 @t200 @t2225 @t196 @t197 @t98)) % 53.50/53.71 (define @t2232 () (tptp.hAPP @t834 @t2229)) % 53.50/53.71 (define @t2233 () (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP @t2232 @t200) @t196)) % 53.50/53.71 (define @t2234 () (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP @t840 @t2227) @t196)) % 53.50/53.71 (define @t2235 () (tptp.c_Divides_Odiv__class_Omod @t98 @t477 @t196)) % 53.50/53.71 (define @t2236 () (tptp.hAPP @t473 @t2229)) % 53.50/53.71 (define @t2237 () (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP @t2236 @t200) @t196)) % 53.50/53.71 (define @t2238 () (tptp.c_Divides_Odiv__class_Omod @t98 @t915 @t196)) % 53.50/53.71 (define @t2239 () (tptp.class_Divides_Oring__div @t98)) % 53.50/53.71 (define @t2240 () (tptp.hAPP @t913 @t2229)) % 53.50/53.71 (define @t2241 () (tptp.c_Divides_Odiv__class_Omod @t98 @t2091 @t200)) % 53.50/53.71 (define @t2242 () (@list @t200)) % 53.50/53.71 (define @t2243 () (tptp.hAPP @t2197 @t88)) % 53.50/53.71 (define @t2244 () (tptp.hAPP @t2062 @t200)) % 53.50/53.71 (define @t2245 () (tptp.hAPP @t2062 @t197)) % 53.50/53.71 (define @t2246 () (tptp.hAPP @t2195 @t2245)) % 53.50/53.71 (define @t2247 () (tptp.hAPP @t2246 @t200)) % 53.50/53.71 (define @t2248 () (tptp.hAPP @t2205 @t2244)) % 53.50/53.71 (define @t2249 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2220 @t196)) % 53.50/53.71 (define @t2250 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2219 @t196)) % 53.50/53.71 (define @t2251 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1905 @t662)) % 53.50/53.71 (define @t2252 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t97 @t662)) % 53.50/53.71 (define @t2253 () (@list @t152 @t662 @t97)) % 53.50/53.71 (define @t2254 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2245 @t200)) % 53.50/53.71 (define @t2255 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t197 @t2244)) % 53.50/53.71 (define @t2256 () (tptp.hAPP @t1824 @t196)) % 53.50/53.71 (define @t2257 () (tptp.hBOOL (tptp.hAPP @t1712 @t196))) % 53.50/53.71 (define @t2258 () (@list @t200 @t197 @t196)) % 53.50/53.71 (define @t2259 () (tptp.hAPP @t840 @t1260)) % 53.50/53.71 (define @t2260 () (tptp.hAPP @t840 @t475)) % 53.50/53.71 (define @t2261 () (tptp.hAPP @t2062 @t2217)) % 53.50/53.71 (define @t2262 () (tptp.hAPP (tptp.hAPP @t1632 @t2261) @t1708)) % 53.50/53.71 (define @t2263 () (= @t2201 @t1711)) % 53.50/53.71 (define @t2264 () (not @t2263)) % 53.50/53.71 (define @t2265 () (not (= @t200 @t1711))) % 53.50/53.71 (define @t2266 () (@list @t197 @t200)) % 53.50/53.71 (define @t2267 () (@list @t79 @t8)) % 53.50/53.71 (define @t2268 () (tptp.hAPP @t2195 @t97)) % 53.50/53.71 (define @t2269 () (tptp.hAPP @t2268 @t152)) % 53.50/53.71 (define @t2270 () (tptp.hAPP @t1604 @t13)) % 53.50/53.71 (define @t2271 () (tptp.hAPP @t2195 @t13)) % 53.50/53.71 (define @t2272 () (tptp.hAPP @t2271 @t33)) % 53.50/53.71 (define @t2273 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t2272) @t1711))) % 53.50/53.71 (define @t2274 () (tptp.hAPP @t1712 @t33)) % 53.50/53.71 (define @t2275 () (tptp.hBOOL @t2274)) % 53.50/53.71 (define @t2276 () (@list @t13 @t33)) % 53.50/53.71 (define @t2277 () (tptp.hAPP @t1604 @t33)) % 53.50/53.71 (define @t2278 () (tptp.hBOOL (tptp.hAPP @t2277 @t1711))) % 53.50/53.71 (define @t2279 () (tptp.hBOOL (tptp.hAPP @t1712 @t200))) % 53.50/53.71 (define @t2280 () (tptp.hAPP @t1604 @t197)) % 53.50/53.71 (define @t2281 () (tptp.hBOOL (tptp.hAPP @t2280 @t1711))) % 53.50/53.71 (define @t2282 () (= @t197 @t1711)) % 53.50/53.71 (define @t2283 () (not @t2282)) % 53.50/53.71 (define @t2284 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t97 @t152)) % 53.50/53.71 (define @t2285 () (@list @t726 @t662)) % 53.50/53.71 (define @t2286 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t2201) @t200))) % 53.50/53.71 (define @t2287 () (tptp.hBOOL (tptp.hAPP @t1832 @t2201))) % 53.50/53.71 (define @t2288 () (tptp.hBOOL (tptp.hAPP @t1832 @t1711))) % 53.50/53.71 (define @t2289 () (tptp.hAPP @t486 @t2198)) % 53.50/53.71 (define @t2290 () (tptp.hAPP @t2195 @t1703)) % 53.50/53.71 (define @t2291 () (tptp.hAPP @t2290 @t1702)) % 53.50/53.71 (define @t2292 () (tptp.hAPP @t1698 (tptp.c_Int_OBit0 @t1132))) % 53.50/53.71 (define @t2293 () (@var "B_q" $$unsorted)) % 53.50/53.71 (define @t2294 () (@list @t2293)) % 53.50/53.71 (define @t2295 () (@list @t35 @t673)) % 53.50/53.71 (define @t2296 () (tptp.hAPP @t83 @t2198)) % 53.50/53.71 (define @t2297 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t726 @t740)) % 53.50/53.71 (define @t2298 () (not (= @t2297 @t1711))) % 53.50/53.71 (define @t2299 () (tptp.hAPP @t2062 @t740)) % 53.50/53.71 (define @t2300 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t726 @t2299)) % 53.50/53.71 (define @t2301 () (tptp.hAPP (tptp.hAPP @t2203 @t1261) @t1260)) % 53.50/53.71 (define @t2302 () (=> @t1435 (= @t2301 @t2213))) % 53.50/53.71 (define @t2303 () (tptp.hAPP @t2203 @t477)) % 53.50/53.71 (define @t2304 () (tptp.hBOOL (tptp.hAPP @t1416 @t1327))) % 53.50/53.71 (define @t2305 () (= @t672 (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t1977 @t1415)) @t1327))) % 53.50/53.71 (define @t2306 () (and (tptp.hBOOL (tptp.hAPP @t1705 @t1327)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1327) @t1711)) @t2305)) % 53.50/53.71 (define @t2307 () (@list @t1415 @t1327)) % 53.50/53.71 (define @t2308 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t672 @t676)) % 53.50/53.71 (define @t2309 () (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t2195 @t672) @t676))) % 53.50/53.71 (define @t2310 () (tptp.hBOOL (tptp.hAPP @t2309 @t2308))) % 53.50/53.71 (define @t2311 () (tptp.hAPP @t1705 @t1711)) % 53.50/53.71 (define @t2312 () (tptp.hBOOL @t2311)) % 53.50/53.71 (define @t2313 () (@list @t672 @t178 @t676)) % 53.50/53.71 (define @t2314 () (and (tptp.hBOOL (tptp.hAPP @t1713 @t1327)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1327) @t676)) @t2305)) % 53.50/53.71 (define @t2315 () (tptp.hBOOL (tptp.hAPP @t1712 @t676))) % 53.50/53.71 (define @t2316 () (tptp.hAPP (tptp.hAPP @t2195 @t2225) @t200)) % 53.50/53.71 (define @t2317 () (tptp.hBOOL (tptp.hAPP @t2183 @t2225))) % 53.50/53.71 (define @t2318 () (@list @t200 @t2225 @t197)) % 53.50/53.71 (define @t2319 () (tptp.hAPP @t1599 @t2217)) % 53.50/53.71 (define @t2320 () (= @t2217 @t1711)) % 53.50/53.71 (define @t2321 () (tptp.hBOOL (tptp.hAPP @t1832 @t197))) % 53.50/53.71 (define @t2322 () (tptp.hAPP @t2205 @t1811)) % 53.50/53.71 (define @t2323 () (@list @t200 @t1811 @t197)) % 53.50/53.71 (define @t2324 () (tptp.hBOOL (tptp.hAPP @t2319 @t1711))) % 53.50/53.71 (define @t2325 () (tptp.hBOOL (tptp.hAPP @t1713 @t2272))) % 53.50/53.71 (define @t2326 () (tptp.hBOOL (tptp.hAPP @t2280 @t200))) % 53.50/53.71 (define @t2327 () (tptp.hAPP @t1599 @t33)) % 53.50/53.71 (define @t2328 () (tptp.hBOOL (tptp.hAPP @t1713 @t13))) % 53.50/53.71 (define @t2329 () (@list @t33 @t13)) % 53.50/53.71 (define @t2330 () (tptp.hAPP (tptp.hAPP @t2195 @t972) @t676)) % 53.50/53.71 (define @t2331 () (tptp.hAPP @t1599 @t972)) % 53.50/53.71 (define @t2332 () (tptp.hBOOL (tptp.hAPP @t2331 @t1711))) % 53.50/53.71 (define @t2333 () (tptp.hAPP @t1604 @t972)) % 53.50/53.71 (define @t2334 () (= @t676 @t1711)) % 53.50/53.71 (define @t2335 () (@list @t676 @t972)) % 53.50/53.71 (define @t2336 () (tptp.hAPP @t1604 @t1708)) % 53.50/53.71 (define @t2337 () (= @t2201 @t197)) % 53.50/53.71 (define @t2338 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t2201) @t1711))) % 53.50/53.71 (define @t2339 () (tptp.hBOOL (tptp.hAPP @t1713 @t2201))) % 53.50/53.71 (define @t2340 () (tptp.hAPP @t1632 @t200)) % 53.50/53.71 (define @t2341 () (tptp.hAPP @t835 @t2213)) % 53.50/53.71 (define @t2342 () (tptp.hAPP (tptp.hAPP @t834 @t2213) @t645)) % 53.50/53.71 (define @t2343 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t2211) @t1711))) % 53.50/53.71 (define @t2344 () (@var "V_b_1" $$unsorted)) % 53.50/53.71 (define @t2345 () (@var "V_a_1" $$unsorted)) % 53.50/53.71 (define @t2346 () (not (= @t2344 @t1711))) % 53.50/53.71 (define @t2347 () (@var "V_r_1" $$unsorted)) % 53.50/53.71 (define @t2348 () (tptp.hAPP @t1604 @t2344)) % 53.50/53.71 (define @t2349 () (tptp.hBOOL (tptp.hAPP @t1712 @t2344))) % 53.50/53.71 (define @t2350 () (not @t2349)) % 53.50/53.71 (define @t2351 () (tptp.hAPP @t1624 @t2344)) % 53.50/53.71 (define @t2352 () (@list @t676 @t672 @t178)) % 53.50/53.71 (define @t2353 () (@var "V_q_1" $$unsorted)) % 53.50/53.71 (define @t2354 () (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t1824 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1801 @t196))) @t1309)) % 53.50/53.71 (define @t2355 () (@list @t1801 @t1309 @t200 @t196)) % 53.50/53.71 (define @t2356 () (@list @t1801 @t200 @t1309 @t196)) % 53.50/53.71 (define @t2357 () (tptp.hBOOL (tptp.hAPP @t178 @t1327))) % 53.50/53.71 (define @t2358 () (tptp.hAPP (tptp.hAPP @t2195 @t2188) @t2187)) % 53.50/53.71 (define @t2359 () (tptp.hAPP @t2078 @t730)) % 53.50/53.71 (define @t2360 () (tptp.c_Code__Numeral_Onat__of__aux @t730 @t658)) % 53.50/53.71 (define @t2361 () (= @t730 @t2077)) % 53.50/53.71 (define @t2362 () (tptp.hAPP @t2195 @t726)) % 53.50/53.71 (define @t2363 () (tptp.c_SMT_Oz3div @t726 @t740)) % 53.50/53.71 (define @t2364 () (tptp.hBOOL (tptp.hAPP @t1713 @t740))) % 53.50/53.71 (define @t2365 () (not @t2364)) % 53.50/53.71 (define @t2366 () (tptp.hAPP @t2362 @t740)) % 53.50/53.71 (define @t2367 () (@list @t726 @t740)) % 53.50/53.71 (define @t2368 () (tptp.c_SMT_Oz3mod @t726 @t740)) % 53.50/53.71 (define @t2369 () (tptp.hAPP tptp.c_Int_Onat @t97)) % 53.50/53.71 (define @t2370 () (tptp.hAPP @t1842 @t2369)) % 53.50/53.71 (define @t2371 () (tptp.hAPP @t2174 @t658)) % 53.50/53.71 (define @t2372 () (tptp.hAPP tptp.c_Nat_OSuc @t2371)) % 53.50/53.71 (define @t2373 () (tptp.c_Power_Opower__class_Opower @t98)) % 53.50/53.71 (define @t2374 () (tptp.hAPP @t2373 @t2139)) % 53.50/53.71 (define @t2375 () (tptp.hAPP @t2373 @t197)) % 53.50/53.71 (define @t2376 () (tptp.hAPP @t2375 @t2372)) % 53.50/53.71 (define @t2377 () (@list @t658 @t197 @t98)) % 53.50/53.71 (define @t2378 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2379 () (tptp.hAPP @t2378 @t97)) % 53.50/53.71 (define @t2380 () (tptp.hAPP @t2379 @t658)) % 53.50/53.71 (define @t2381 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2382 () (@list @t658 @t97)) % 53.50/53.71 (define @t2383 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t200 @t196)) % 53.50/53.71 (define @t2384 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2385 () (tptp.hAPP (tptp.hAPP @t2384 @t200) @t196)) % 53.50/53.71 (define @t2386 () (tptp.hAPP @t2384 @t197)) % 53.50/53.71 (define @t2387 () (tptp.hAPP (tptp.hAPP @t796 @t197) @t200)) % 53.50/53.71 (define @t2388 () (tptp.hAPP tptp.c_Int_Onat @t216)) % 53.50/53.71 (define @t2389 () (tptp.hAPP (tptp.hAPP @t2378 @t216) @t658)) % 53.50/53.71 (define @t2390 () (tptp.hAPP @t704 @t197)) % 53.50/53.71 (define @t2391 () (tptp.hAPP @t2390 @t200)) % 53.50/53.71 (define @t2392 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t197 @t200)) % 53.50/53.71 (define @t2393 () (tptp.hAPP @t2386 @t200)) % 53.50/53.71 (define @t2394 () (tptp.hAPP @t704 @t200)) % 53.50/53.71 (define @t2395 () (tptp.hAPP @t2394 @t196)) % 53.50/53.71 (define @t2396 () (tptp.hAPP @t2384 @t662)) % 53.50/53.71 (define @t2397 () (tptp.hAPP @t2396 @t658)) % 53.50/53.71 (define @t2398 () (tptp.hAPP (tptp.hAPP @t704 @t2397) @t658)) % 53.50/53.71 (define @t2399 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t662 @t658)) % 53.50/53.71 (define @t2400 () (tptp.hAPP @t669 @t2399)) % 53.50/53.71 (define @t2401 () (tptp.hAPP (tptp.hAPP @t2378 @t1874) @t658)) % 53.50/53.71 (define @t2402 () (tptp.hAPP (tptp.hAPP @t2381 @t662) @t658)) % 53.50/53.71 (define @t2403 () (tptp.hAPP @t1853 @t2402)) % 53.50/53.71 (define @t2404 () (tptp.hAPP @t2373 @t152)) % 53.50/53.71 (define @t2405 () (tptp.hAPP @t2373 @t97)) % 53.50/53.71 (define @t2406 () (tptp.hAPP @t2405 @t1801)) % 53.50/53.71 (define @t2407 () (tptp.hAPP @t473 @t2406)) % 53.50/53.71 (define @t2408 () (tptp.hAPP @t2384 @t658)) % 53.50/53.71 (define @t2409 () (tptp.hAPP tptp.c_Nat_OSuc @t2399)) % 53.50/53.71 (define @t2410 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t663 @t658)) % 53.50/53.71 (define @t2411 () (=> @t667 (= @t2399 @t662))) % 53.50/53.71 (define @t2412 () (tptp.hAPP @t595 @t2399)) % 53.50/53.71 (define @t2413 () (@var "V_p" $$unsorted)) % 53.50/53.71 (define @t2414 () (tptp.hAPP @t704 @t2413)) % 53.50/53.71 (define @t2415 () (tptp.hAPP @t2405 @t2413)) % 53.50/53.71 (define @t2416 () (@list @t1801 @t2413 @t97 @t98)) % 53.50/53.71 (define @t2417 () (tptp.hAPP @t2379 @t152)) % 53.50/53.71 (define @t2418 () (tptp.hAPP @t1533 @t1474)) % 53.50/53.71 (define @t2419 () (tptp.hAPP @t2378 @t1703)) % 53.50/53.71 (define @t2420 () (tptp.hAPP @t2381 @t1534)) % 53.50/53.71 (define @t2421 () (tptp.hAPP @t2420 @t2418)) % 53.50/53.71 (define @t2422 () (tptp.hAPP @t2381 @t1157)) % 53.50/53.71 (define @t2423 () (tptp.hAPP @t2420 @t658)) % 53.50/53.71 (define @t2424 () (tptp.hAPP tptp.c_Int_Onat @t2269)) % 53.50/53.71 (define @t2425 () (tptp.hAPP tptp.c_Int_Onat @t152)) % 53.50/53.71 (define @t2426 () (tptp.hAPP (tptp.hAPP @t2384 @t2369) @t2425)) % 53.50/53.71 (define @t2427 () (tptp.hAPP tptp.c_Int_Onat @t2284)) % 53.50/53.71 (define @t2428 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2369 @t2425)) % 53.50/53.71 (define @t2429 () (=> @t667 (= @t2397 @t1157))) % 53.50/53.71 (define @t2430 () (tptp.hAPP (tptp.hAPP @t2384 @t747) @t746)) % 53.50/53.71 (define @t2431 () (= @t2430 @t2397)) % 53.50/53.71 (define @t2432 () (= @t726 @t1157)) % 53.50/53.71 (define @t2433 () (tptp.hAPP @t479 @t2406)) % 53.50/53.71 (define @t2434 () (tptp.hAPP @t2405 (tptp.hAPP tptp.c_Nat_OSuc @t1801))) % 53.50/53.71 (define @t2435 () (@list @t1801 @t97 @t98)) % 53.50/53.71 (define @t2436 () (tptp.hAPP tptp.c_Int_Onat @t1711)) % 53.50/53.71 (define @t2437 () (= @t2409 @t658)) % 53.50/53.71 (define @t2438 () (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 53.50/53.71 (define @t2439 () (@var "B_x1" $$unsorted)) % 53.50/53.71 (define @t2440 () (tptp.hBOOL (tptp.hAPP @t178 @t2439))) % 53.50/53.71 (define @t2441 () (@list @t2439)) % 53.50/53.71 (define @t2442 () (exists @t2441 @t2440)) % 53.50/53.71 (define @t2443 () (forall @t2441 @t2440)) % 53.50/53.71 (define @t2444 () (tptp.hAPP tptp.c_Int_Onat @t57)) % 53.50/53.71 (define @t2445 () (tptp.hAPP tptp.c_Int_Onat @t48)) % 53.50/53.71 (define @t2446 () (tptp.hBOOL (tptp.hAPP @t1713 @t57))) % 53.50/53.71 (define @t2447 () (@var "V_z_H_2" $$unsorted)) % 53.50/53.71 (define @t2448 () (tptp.hAPP tptp.c_Int_Onat @t2447)) % 53.50/53.71 (define @t2449 () (tptp.hAPP tptp.c_Int_Onat @t79)) % 53.50/53.71 (define @t2450 () (tptp.hBOOL (tptp.hAPP @t1713 @t79))) % 53.50/53.71 (define @t2451 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t685 @t658)) % 53.50/53.71 (define @t2452 () (= @t2399 @t2451)) % 53.50/53.71 (define @t2453 () (=> @t761 @t2452)) % 53.50/53.71 (define @t2454 () (tptp.hAPP (tptp.hAPP @t796 @t746) @t662)) % 53.50/53.71 (define @t2455 () (tptp.hAPP @t1853 @t200)) % 53.50/53.71 (define @t2456 () (tptp.hAPP @t1853 @t197)) % 53.50/53.71 (define @t2457 () (tptp.hAPP tptp.c_Int_Onat @t1708)) % 53.50/53.71 (define @t2458 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t97 @t152)) % 53.50/53.71 (define @t2459 () (= @t2388 @t1157)) % 53.50/53.71 (define @t2460 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t216))) % 53.50/53.71 (define @t2461 () (tptp.hAPP @t1853 @t2388)) % 53.50/53.71 (define @t2462 () (= @t2461 @t216)) % 53.50/53.71 (define @t2463 () (tptp.c_Power_Opower__class_Opower @t8)) % 53.50/53.71 (define @t2464 () (tptp.hAPP @t2463 @t13)) % 53.50/53.71 (define @t2465 () (tptp.hAPP @t2464 @t672)) % 53.50/53.71 (define @t2466 () (@list @t672 @t13 @t8)) % 53.50/53.71 (define @t2467 () (tptp.hAPP (tptp.hAPP @t2384 @t1534) @t1912)) % 53.50/53.71 (define @t2468 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1534 @t1912)) % 53.50/53.71 (define @t2469 () (tptp.hAPP @t2195 @t1708)) % 53.50/53.71 (define @t2470 () (@list @t1910)) % 53.50/53.71 (define @t2471 () (tptp.hAPP @t2384 @t726)) % 53.50/53.71 (define @t2472 () (tptp.hAPP @t506 @t638)) % 53.50/53.71 (define @t2473 () (tptp.hBOOL (tptp.hAPP @t2472 @t658))) % 53.50/53.71 (define @t2474 () (tptp.hAPP tptp.c_Int_Onat @t972)) % 53.50/53.71 (define @t2475 () (@list @t972)) % 53.50/53.71 (define @t2476 () (tptp.hBOOL (tptp.hAPP @t1766 @t1711))) % 53.50/53.71 (define @t2477 () (tptp.hAPP tptp.c_Int_Onat @t881)) % 53.50/53.71 (define @t2478 () (tptp.hAPP @t506 @t2477)) % 53.50/53.71 (define @t2479 () (tptp.hBOOL (tptp.hAPP @t2478 @t2449))) % 53.50/53.71 (define @t2480 () (= @t2479 @t1730)) % 53.50/53.71 (define @t2481 () (=> @t1714 @t2462)) % 53.50/53.71 (define @t2482 () (@list @t79 @t673)) % 53.50/53.71 (define @t2483 () (tptp.hAPP @t1987 @t97)) % 53.50/53.71 (define @t2484 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1322 @t1912)) % 53.50/53.71 (define @t2485 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2384 @t685) @t658))) % 53.50/53.71 (define @t2486 () (= @t2397 @t2485)) % 53.50/53.71 (define @t2487 () (=> @t761 @t2486)) % 53.50/53.71 (define @t2488 () (= @t672 (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t1141 @t1415)) @t1327))) % 53.50/53.71 (define @t2489 () (tptp.hBOOL (tptp.hAPP @t1328 @t676))) % 53.50/53.71 (define @t2490 () (not @t1214)) % 53.50/53.71 (define @t2491 () (tptp.hBOOL (tptp.hAPP @t1713 @t881))) % 53.50/53.71 (define @t2492 () (and (=> @t2491 (= @t881 @t1871)) (=> (not @t2491) @t1210))) % 53.50/53.71 (define @t2493 () (@list @t673 @t881)) % 53.50/53.71 (define @t2494 () (@list @t972 @t178)) % 53.50/53.71 (define @t2495 () (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t2394 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1801 @t196))) @t1309)) % 53.50/53.71 (define @t2496 () (tptp.hBOOL (tptp.hAPP @t1159 @t196))) % 53.50/53.71 (define @t2497 () (tptp.hAPP tptp.c_Int_Onat @t1772)) % 53.50/53.71 (define @t2498 () (tptp.hBOOL (tptp.hAPP @t1713 @t1772))) % 53.50/53.71 (define @t2499 () (@list @t1772 @t216)) % 53.50/53.71 (define @t2500 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1759 @t1772))) % 53.50/53.71 (define @t2501 () (tptp.hAPP @t2381 @t2413)) % 53.50/53.71 (define @t2502 () (tptp.hAPP @t2501 @t662)) % 53.50/53.71 (define @t2503 () (@list @t672 @t48)) % 53.50/53.71 (define @t2504 () (tptp.hAPP (tptp.hAPP @t2384 @t673) @t672)) % 53.50/53.71 (define @t2505 () (@var "V_q_2" $$unsorted)) % 53.50/53.71 (define @t2506 () (tptp.hAPP @t2054 @t662)) % 53.50/53.71 (define @t2507 () (tptp.hAPP @t2384 @t2506)) % 53.50/53.71 (define @t2508 () (tptp.hAPP tptp.c_Nat_OSuc @t663)) % 53.50/53.71 (define @t2509 () (tptp.hAPP tptp.c_Nat_OSuc @t2508)) % 53.50/53.71 (define @t2510 () (tptp.hAPP @t2384 @t2509)) % 53.50/53.71 (define @t2511 () (@list @t1132 @t662)) % 53.50/53.71 (define @t2512 () (tptp.hAPP @t2464 @t2066)) % 53.50/53.71 (define @t2513 () (tptp.hAPP @t2373 @t1135)) % 53.50/53.71 (define @t2514 () (tptp.hAPP @t2405 @t2066)) % 53.50/53.71 (define @t2515 () (tptp.hAPP @t2375 @t2066)) % 53.50/53.71 (define @t2516 () (tptp.hAPP @t2373 @t645)) % 53.50/53.71 (define @t2517 () (tptp.hAPP tptp.c_Int_Onat @t2172)) % 53.50/53.71 (define @t2518 () (tptp.hAPP @t2373 @t2091)) % 53.50/53.71 (define @t2519 () (tptp.hAPP @t2375 @t658)) % 53.50/53.71 (define @t2520 () (tptp.hAPP (tptp.hAPP @t2373 @t2519) @t2066)) % 53.50/53.71 (define @t2521 () (tptp.hAPP @t2375 @t2371)) % 53.50/53.71 (define @t2522 () (tptp.hAPP @t2373 @t1995)) % 53.50/53.71 (define @t2523 () (tptp.hAPP @t2404 @t2066)) % 53.50/53.71 (define @t2524 () (tptp.hAPP @t2463 @t48)) % 53.50/53.71 (define @t2525 () (tptp.hAPP (tptp.hAPP @t844 (tptp.hAPP @t2524 @t2066)) (tptp.hAPP (tptp.hAPP @t2463 @t57) @t2066))) % 53.50/53.71 (define @t2526 () (tptp.hAPP @t1570 @t1474)) % 53.50/53.71 (define @t2527 () (tptp.hAPP @t2405 @t658)) % 53.50/53.71 (define @t2528 () (tptp.hAPP (tptp.hAPP @t473 @t2527) @t2527)) % 53.50/53.71 (define @t2529 () (@list @t658 @t97 @t98)) % 53.50/53.71 (define @t2530 () (tptp.hAPP (tptp.hAPP @t834 @t2514) @t2523)) % 53.50/53.71 (define @t2531 () (tptp.hAPP (tptp.hAPP @t473 (tptp.hAPP @t2170 @t97)) @t152)) % 53.50/53.71 (define @t2532 () (tptp.hAPP @t1518 @t152)) % 53.50/53.71 (define @t2533 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t673 @t2066)) % 53.50/53.71 (define @t2534 () (@list @t673)) % 53.50/53.71 (define @t2535 () (tptp.hAPP @t2378 @t726)) % 53.50/53.71 (define @t2536 () (tptp.hAPP @t2060 @t2065)) % 53.50/53.71 (define @t2537 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.71 (define @t2538 () (tptp.hAPP @t2178 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t2537 @t726) @t2536)))) % 53.50/53.71 (define @t2539 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t726)) % 53.50/53.71 (define @t2540 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t726 @t2536) @t2077)) % 53.50/53.71 (define @t2541 () (= @t726 @t2077)) % 53.50/53.71 (define @t2542 () (tptp.hAPP @t2373 @t200)) % 53.50/53.71 (define @t2543 () (tptp.hAPP @t2542 @t658)) % 53.50/53.71 (define @t2544 () (tptp.hAPP @t366 @t2519)) % 53.50/53.71 (define @t2545 () (tptp.hBOOL (tptp.hAPP @t2544 @t2543))) % 53.50/53.71 (define @t2546 () (@list @t658 @t200 @t197 @t98)) % 53.50/53.71 (define @t2547 () (tptp.hAPP @t2375 @t662)) % 53.50/53.71 (define @t2548 () (tptp.hBOOL (tptp.hAPP @t790 @t197))) % 53.50/53.71 (define @t2549 () (@list @t658 @t662 @t197 @t98)) % 53.50/53.71 (define @t2550 () (tptp.hAPP @t2381 @t48)) % 53.50/53.71 (define @t2551 () (tptp.hAPP @t2381 @t730)) % 53.50/53.71 (define @t2552 () (tptp.hAPP @t2551 @t658)) % 53.50/53.71 (define @t2553 () (tptp.hAPP @t2551 @t662)) % 53.50/53.71 (define @t2554 () (@list @t658 @t662 @t730)) % 53.50/53.71 (define @t2555 () (tptp.hAPP @t476 @t2519)) % 53.50/53.71 (define @t2556 () (tptp.hAPP @t473 @t2519)) % 53.50/53.71 (define @t2557 () (tptp.hAPP @t2556 @t197)) % 53.50/53.71 (define @t2558 () (= (tptp.hAPP (tptp.hAPP @t2373 @t1488) @t658) (tptp.hAPP (tptp.hAPP @t1427 @t2519) @t2543))) % 53.50/53.71 (define @t2559 () (tptp.hAPP @t2522 @t658)) % 53.50/53.71 (define @t2560 () (tptp.hAPP @t1994 @t2519)) % 53.50/53.71 (define @t2561 () (tptp.hAPP @t99 @t2519)) % 53.50/53.71 (define @t2562 () (tptp.class_Power_Opower @t8)) % 53.50/53.71 (define @t2563 () (tptp.hBOOL (tptp.hAPP @t1313 @t197))) % 53.50/53.71 (define @t2564 () (tptp.class_Power_Opower @t98)) % 53.50/53.71 (define @t2565 () (and @t2564 (tptp.class_Rings_Osemiring__0 @t98))) % 53.50/53.71 (define @t2566 () (tptp.hAPP @t2375 @t659)) % 53.50/53.71 (define @t2567 () (tptp.hAPP @t1427 @t645)) % 53.50/53.71 (define @t2568 () (tptp.hAPP @t2518 @t658)) % 53.50/53.71 (define @t2569 () (@list @t200 @t658 @t197 @t98)) % 53.50/53.71 (define @t2570 () (tptp.hAPP @t2542 @t659)) % 53.50/53.71 (define @t2571 () (tptp.hAPP @t2513 @t658)) % 53.50/53.71 (define @t2572 () (tptp.hAPP @t2463 @t33)) % 53.50/53.71 (define @t2573 () (tptp.hAPP @t2572 @t57)) % 53.50/53.71 (define @t2574 () (tptp.hAPP @t2572 @t48)) % 53.50/53.71 (define @t2575 () (tptp.hBOOL (tptp.hAPP @t2058 @t33))) % 53.50/53.71 (define @t2576 () (@list @t57 @t48 @t33 @t8)) % 53.50/53.71 (define @t2577 () (@var "V_N" $$unsorted)) % 53.50/53.71 (define @t2578 () (tptp.hAPP @t2375 @t2577)) % 53.50/53.71 (define @t2579 () (tptp.hBOOL (tptp.hAPP @t660 @t2577))) % 53.50/53.71 (define @t2580 () (@list @t197 @t2577 @t658 @t98)) % 53.50/53.71 (define @t2581 () (tptp.hBOOL (tptp.hAPP @t688 @t2577))) % 53.50/53.71 (define @t2582 () (tptp.hBOOL (tptp.hAPP @t386 @t645))) % 53.50/53.71 (define @t2583 () (tptp.hAPP @t2381 @t2050)) % 53.50/53.71 (define @t2584 () (tptp.c_Set_OPow @t8)) % 53.50/53.71 (define @t2585 () (tptp.hAPP @t2584 @t25)) % 53.50/53.71 (define @t2586 () (tptp.hAPP @t1612 tptp.c_Int_OMin)) % 53.50/53.71 (define @t2587 () (tptp.hAPP @t2373 @t2586)) % 53.50/53.71 (define @t2588 () (tptp.hAPP @t2584 @t88)) % 53.50/53.71 (define @t2589 () (tptp.hAPP @t1045 @t25)) % 53.50/53.71 (define @t2590 () (tptp.hBOOL (tptp.hAPP @t2589 @t2588))) % 53.50/53.71 (define @t2591 () (tptp.hAPP @t1599 tptp.c_Int_OMin)) % 53.50/53.71 (define @t2592 () (tptp.hAPP @t1604 tptp.c_Int_OMin)) % 53.50/53.71 (define @t2593 () (tptp.hBOOL (tptp.hAPP @t1696 tptp.c_Int_OMin))) % 53.50/53.71 (define @t2594 () (tptp.hBOOL (tptp.hAPP @t2592 @t676))) % 53.50/53.71 (define @t2595 () (tptp.hAPP @t1698 tptp.c_Int_OMin)) % 53.50/53.71 (define @t2596 () (tptp.hAPP @t2062 @t1708)) % 53.50/53.71 (define @t2597 () (tptp.hAPP @t2074 @t216)) % 53.50/53.71 (define @t2598 () (tptp.hAPP @t1632 tptp.c_Int_OMin)) % 53.50/53.71 (define @t2599 () (tptp.hAPP @t2598 @t740)) % 53.50/53.71 (define @t2600 () (tptp.c_Int_OBit1 @t2599)) % 53.50/53.71 (define @t2601 () (@var "V_one_2" $$unsorted)) % 53.50/53.71 (define @t2602 () (@var "V_times_2" $$unsorted)) % 53.50/53.71 (define @t2603 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t8 @t2601 @t2602) @t13)) % 53.50/53.71 (define @t2604 () (tptp.hAPP @t1057 @t2585)) % 53.50/53.71 (define @t2605 () (tptp.hAPP @t2340 @t1708)) % 53.50/53.71 (define @t2606 () (tptp.c_Int_Oring__1__class_Oof__int @t98)) % 53.50/53.71 (define @t2607 () (tptp.hAPP @t2606 @t726)) % 53.50/53.71 (define @t2608 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t726) @t1711))) % 53.50/53.71 (define @t2609 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1987 @t152))) % 53.50/53.71 (define @t2610 () (tptp.hAPP tptp.c_Int_Onat @t2483)) % 53.50/53.71 (define @t2611 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.71 (define @t2612 () (tptp.c_Int_Oring__1__class_Oof__int @t8)) % 53.50/53.71 (define @t2613 () (tptp.hAPP @t2612 @t79)) % 53.50/53.71 (define @t2614 () (tptp.hAPP @t2612 @t881)) % 53.50/53.71 (define @t2615 () (@list @t79 @t881 @t8)) % 53.50/53.71 (define @t2616 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2617 () (tptp.hAPP @t2606 @t216)) % 53.50/53.71 (define @t2618 () (tptp.hAPP @t2606 @t1474)) % 53.50/53.71 (define @t2619 () (tptp.c_Nitpick_Onat__gcd @t97 @t152)) % 53.50/53.71 (define @t2620 () (@var "V_code__numeral" $$unsorted)) % 53.50/53.71 (define @t2621 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2620)) % 53.50/53.71 (define @t2622 () (@list @t2620)) % 53.50/53.71 (define @t2623 () (tptp.c_Groups_Osgn__class_Osgn @t98 @t197)) % 53.50/53.71 (define @t2624 () (tptp.c_Groups_Osgn__class_Osgn @t8 @t13)) % 53.50/53.71 (define @t2625 () (@var "V_code__numeral_H_2" $$unsorted)) % 53.50/53.71 (define @t2626 () (@var "V_code__numeral_2" $$unsorted)) % 53.50/53.71 (define @t2627 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2626)) % 53.50/53.71 (define @t2628 () (tptp.class_Groups_Osgn__if @t98)) % 53.50/53.71 (define @t2629 () (@var "V_code__numeral_H_1" $$unsorted)) % 53.50/53.71 (define @t2630 () (@var "V_code__numeral_H" $$unsorted)) % 53.50/53.71 (define @t2631 () (tptp.hAPP @t1994 @t726)) % 53.50/53.71 (define @t2632 () (tptp.c_Groups_Osgn__class_Osgn @t98 @t97)) % 53.50/53.71 (define @t2633 () (= @t152 @t1157)) % 53.50/53.71 (define @t2634 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t730)) % 53.50/53.71 (define @t2635 () (tptp.hBOOL (tptp.hAPP @t1712 @t730))) % 53.50/53.71 (define @t2636 () (= @t730 @t1711)) % 53.50/53.71 (define @t2637 () (= @t97 @t1135)) % 53.50/53.71 (define @t2638 () (@var "V_f2_2" $$unsorted)) % 53.50/53.71 (define @t2639 () (tptp.hAPP @t2638 @t2626)) % 53.50/53.71 (define @t2640 () (@list @t2626 @t2638 @t1683 @t8)) % 53.50/53.71 (define @t2641 () (tptp.c_Orderings_Otop__class_Otop @t98)) % 53.50/53.71 (define @t2642 () (= @t1899 @t676)) % 53.50/53.71 (define @t2643 () (tptp.hBOOL (tptp.hAPP @t1418 @t672))) % 53.50/53.71 (define @t2644 () (tptp.hAPP @t2 @t672)) % 53.50/53.71 (define @t2645 () (tptp.hBOOL (tptp.hAPP @t1696 @t2644))) % 53.50/53.71 (define @t2646 () (tptp.hAPP @t2 @t1157)) % 53.50/53.71 (define @t2647 () (tptp.hAPP @t796 @t1415)) % 53.50/53.71 (define @t2648 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 (tptp.hAPP @t1987 (tptp.hAPP (tptp.hAPP @t1632 (tptp.hAPP @t2 (tptp.hAPP @t2647 @t638))) @t1899))) @t1708))) % 53.50/53.71 (define @t2649 () (tptp.hAPP @t506 @t1415)) % 53.50/53.71 (define @t2650 () (tptp.hBOOL (tptp.hAPP @t2649 @t672))) % 53.50/53.71 (define @t2651 () (tptp.c_Orderings_Otop__class_Otop @t29)) % 53.50/53.71 (define @t2652 () (tptp.c_Orderings_Otop__class_Otop @t1048)) % 53.50/53.71 (define @t2653 () (tptp.c_Orderings_Otop__class_Otop @t80)) % 53.50/53.71 (define @t2654 () (tptp.hBOOL (tptp.hAPP @t346 @t2653))) % 53.50/53.71 (define @t2655 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t143 tptp.tc_HOL_Obool))) % 53.50/53.71 (define @t2656 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t143) @t2655))) % 53.50/53.71 (define @t2657 () (@list @t49 @t8)) % 53.50/53.71 (define @t2658 () (tptp.hBOOL (tptp.hAPP @t334 @t2651))) % 53.50/53.71 (define @t2659 () (tptp.c_Orderings_Otop__class_Otop @t8)) % 53.50/53.71 (define @t2660 () (tptp.tc_prod @t8 @t49)) % 53.50/53.71 (define @t2661 () (tptp.tc_fun @t2660 tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t2662 () (tptp.c_Orderings_Otop__class_Otop @t2661)) % 53.50/53.71 (define @t2663 () (tptp.c_Finite__Set_Ofinite @t2660)) % 53.50/53.71 (define @t2664 () (tptp.tc_Option_Ooption @t8)) % 53.50/53.71 (define @t2665 () (tptp.c_Orderings_Otop__class_Otop @t1397)) % 53.50/53.71 (define @t2666 () (tptp.class_Lattices_Obounded__lattice__top @t98)) % 53.50/53.71 (define @t2667 () (tptp.hAPP @t503 @t2651)) % 53.50/53.71 (define @t2668 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t2669 () (@list @t2638 @t1683 @t8)) % 53.50/53.71 (define @t2670 () (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t25)) % 53.50/53.71 (define @t2671 () (@var "V_p_2" $$unsorted)) % 53.50/53.71 (define @t2672 () (tptp.hAPP tptp.c_Nat_OSuc @t1415)) % 53.50/53.71 (define @t2673 () (tptp.hBOOL (tptp.hAPP @t334 @t3))) % 53.50/53.71 (define @t2674 () (@list @t1788 @t8)) % 53.50/53.71 (define @t2675 () (tptp.hBOOL (tptp.hAPP @t1042 (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t171)))) % 53.50/53.71 (define @t2676 () (tptp.c_Nat__Transfer_Ois__nat @t152)) % 53.50/53.71 (define @t2677 () (tptp.c_Nat__Transfer_Ois__nat @t97)) % 53.50/53.71 (define @t2678 () (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t25)) % 53.50/53.71 (define @t2679 () (tptp.hAPP @t71 @t2678)) % 53.50/53.71 (define @t2680 () (tptp.hBOOL (tptp.hAPP @t2679 @t88))) % 53.50/53.71 (define @t2681 () (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t88)) % 53.50/53.71 (define @t2682 () (tptp.c_Nat__Transfer_Ois__nat @t48)) % 53.50/53.71 (define @t2683 () (tptp.hBOOL (tptp.hAPP @t698 @t1415))) % 53.50/53.71 (define @t2684 () (tptp.hAPP @t2 @t673)) % 53.50/53.71 (define @t2685 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.71 (define @t2686 () (tptp.c_Random_Olog @t200 @t730)) % 53.50/53.71 (define @t2687 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.71 (define @t2688 () (tptp.hAPP @t2687 @t730)) % 53.50/53.71 (define @t2689 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.71 (define @t2690 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2689 @t200) @t2061)) (tptp.hBOOL (tptp.hAPP @t2688 @t200)))) % 53.50/53.71 (define @t2691 () (tptp.hAPP (tptp.hAPP @t2078 @t658) @t662)) % 53.50/53.71 (define @t2692 () (tptp.c_Random_Ominus__shift @t1309 @t726 @t740)) % 53.50/53.71 (define @t2693 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2687 @t726) @t740))) % 53.50/53.71 (define @t2694 () (not @t2693)) % 53.50/53.71 (define @t2695 () (tptp.c_Random_Oinc__shift @t1132 @t726)) % 53.50/53.71 (define @t2696 () (= @t1132 @t726)) % 53.50/53.71 (define @t2697 () (tptp.hAPP @t2178 @t1702)) % 53.50/53.71 (define @t2698 () (tptp.c_Divides_Oadjust @t1702)) % 53.50/53.71 (define @t2699 () (tptp.c_Divides_OnegDivAlg @t1708 @t1702)) % 53.50/53.71 (define @t2700 () (tptp.hAPP @t1709 @t1702)) % 53.50/53.71 (define @t2701 () (tptp.hBOOL (tptp.hAPP @t1713 @t2700))) % 53.50/53.71 (define @t2702 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2703 () (tptp.hAPP @t2702 @t2595)) % 53.50/53.71 (define @t2704 () (tptp.hBOOL (tptp.hAPP @t1712 @t1702))) % 53.50/53.71 (define @t2705 () (@var "V_nat" $$unsorted)) % 53.50/53.71 (define @t2706 () (tptp.hAPP tptp.c_Nat_OSuc @t2705)) % 53.50/53.71 (define @t2707 () (@list @t2705)) % 53.50/53.71 (define @t2708 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2709 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t2708) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t2708) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 53.50/53.71 (define @t2710 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2711 () (tptp.hAPP @t2710 (tptp.hAPP @t2709 @t1157))) % 53.50/53.71 (define @t2712 () (tptp.hAPP @t2711 tptp.c_Int_Onat)) % 53.50/53.71 (define @t2713 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2714 () (tptp.hAPP (tptp.hAPP @t541 @t1934) @t1939)) % 53.50/53.71 (define @t2715 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1937) tptp.c_Int_OPls))) % 53.50/53.71 (define @t2716 () (tptp.c_COMBB @t8 @t8 @t49)) % 53.50/53.71 (define @t2717 () (tptp.hAPP (tptp.hAPP @t2716 @t2001) @t2)) % 53.50/53.71 (define @t2718 () (tptp.hAPP (tptp.hAPP @t1314 @t2717) @t25)) % 53.50/53.71 (define @t2719 () (tptp.hAPP @t1317 @t25)) % 53.50/53.71 (define @t2720 () (@list @t25 @t2 @t49 @t8)) % 53.50/53.71 (define @t2721 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t8 @t49) @t2612) @t2)) % 53.50/53.71 (define @t2722 () (tptp.tc_fun @t8 @t8)) % 53.50/53.71 (define @t2723 () (tptp.c_COMBB @t8 @t2722 @t49)) % 53.50/53.71 (define @t2724 () (tptp.hAPP (tptp.hAPP @t2723 @t2) @t1)) % 53.50/53.71 (define @t2725 () (tptp.hAPP @t1226 @t25)) % 53.50/53.71 (define @t2726 () (tptp.hAPP (tptp.hAPP @t2723 @t465) @t2)) % 53.50/53.71 (define @t2727 () (tptp.c_COMBS @t49 @t8 @t8)) % 53.50/53.71 (define @t2728 () (@list @t25 @t1 @t2 @t49 @t8)) % 53.50/53.71 (define @t2729 () (tptp.c_COMBK @t8 @t49)) % 53.50/53.71 (define @t2730 () (@list @t25 @t49 @t8)) % 53.50/53.71 (define @t2731 () (tptp.c_COMBC @t49 @t8 @t8)) % 53.50/53.71 (define @t2732 () (@list @t2067 @t25 @t2 @t49 @t8)) % 53.50/53.71 (define @t2733 () (@var "V_R_2" $$unsorted)) % 53.50/53.71 (define @t2734 () (tptp.hAPP (tptp.c_COMBC @t8 @t29 tptp.tc_HOL_Obool) @t75)) % 53.50/53.71 (define @t2735 () (tptp.hAPP @t2734 @t1067)) % 53.50/53.71 (define @t2736 () (tptp.hAPP @t2734 @t2733)) % 53.50/53.71 (define @t2737 () (@list @t48 @t1067 @t2733 @t8)) % 53.50/53.71 (define @t2738 () (tptp.c_Orderings_Obot__class_Obot @t2661)) % 53.50/53.71 (define @t2739 () (tptp.c_Product__Type_OPair @t8 @t49)) % 53.50/53.71 (define @t2740 () (tptp.hAPP @t2739 @t48)) % 53.50/53.71 (define @t2741 () (tptp.hAPP @t2740 @t57)) % 53.50/53.71 (define @t2742 () (tptp.c_member @t2660)) % 53.50/53.71 (define @t2743 () (tptp.hAPP @t2742 @t2741)) % 53.50/53.71 (define @t2744 () (tptp.tc_fun @t8 @t80)) % 53.50/53.71 (define @t2745 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t2744) @t48) @t57))) % 53.50/53.71 (define @t2746 () (@list @t57 @t48 @t49 @t8)) % 53.50/53.71 (define @t2747 () (tptp.c_COMBC @t49 @t1685 @t8)) % 53.50/53.71 (define @t2748 () (tptp.hAPP @t2747 @t2)) % 53.50/53.71 (define @t2749 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1685 @t8)) % 53.50/53.71 (define @t2750 () (tptp.tc_fun @t1685 tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t2751 () (tptp.tc_fun @t1685 @t8)) % 53.50/53.71 (define @t2752 () (tptp.c_COMBB @t2751 (tptp.tc_fun @t2750 @t8) @t49)) % 53.50/53.71 (define @t2753 () (tptp.hAPP @t2752 @t2749)) % 53.50/53.71 (define @t2754 () (tptp.c_COMBC @t49 @t2750 @t8)) % 53.50/53.71 (define @t2755 () (tptp.hAPP (tptp.hAPP @t1314 (tptp.hAPP (tptp.hAPP @t2754 (tptp.hAPP @t2753 @t2)) @t88)) @t25)) % 53.50/53.71 (define @t2756 () (@list @t25 @t88 @t2 @t1685 @t49 @t8)) % 53.50/53.71 (define @t2757 () (tptp.tc_fun @t49 @t49)) % 53.50/53.71 (define @t2758 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t2757 @t1685) @t2) @t1)) % 53.50/53.71 (define @t2759 () (@list @t1 @t1685 @t2 @t49 @t8)) % 53.50/53.71 (define @t2760 () (= @t2733 @t1067)) % 53.50/53.71 (define @t2761 () (@list @t1067 @t2733 @t8)) % 53.50/53.71 (define @t2762 () (tptp.tc_fun @t2661 tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t2763 () (tptp.tc_fun @t49 @t2762)) % 53.50/53.71 (define @t2764 () (tptp.tc_fun @t49 @t2660)) % 53.50/53.71 (define @t2765 () (tptp.hAPP (tptp.c_COMBC @t8 @t2661 @t80) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2763 (tptp.tc_fun @t2661 @t80) @t8) (tptp.c_COMBC @t49 @t2661 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2764 @t2763 @t8) (tptp.hAPP (tptp.c_COMBB @t2660 @t2762 @t49) @t2742)) @t2739)))) % 53.50/53.71 (define @t2766 () (tptp.hAPP @t2765 @t1067)) % 53.50/53.71 (define @t2767 () (tptp.hAPP @t2765 @t2733)) % 53.50/53.71 (define @t2768 () (@list @t1067 @t2733 @t49 @t8)) % 53.50/53.71 (define @t2769 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2661)) % 53.50/53.71 (define @t2770 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2744)) % 53.50/53.71 (define @t2771 () (@list @t57 @t48 @t1067 @t2733 @t49 @t8)) % 53.50/53.71 (define @t2772 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2661)) % 53.50/53.71 (define @t2773 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2744)) % 53.50/53.71 (define @t2774 () (tptp.hAPP @t465 @t2067)) % 53.50/53.71 (define @t2775 () (tptp.class_Rings_Osemiring__0 @t8)) % 53.50/53.71 (define @t2776 () (tptp.hAPP @t2731 @t2726)) % 53.50/53.71 (define @t2777 () (tptp.hAPP @t465 @t2719)) % 53.50/53.71 (define @t2778 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t8) @t1853) @t2)) % 53.50/53.71 (define @t2779 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2780 () (tptp.hAPP (tptp.hAPP @t2779 @t2778) @t25)) % 53.50/53.71 (define @t2781 () (@list @t25 @t2 @t8)) % 53.50/53.71 (define @t2782 () (tptp.hAPP @t2729 @t1160)) % 53.50/53.71 (define @t2783 () (tptp.hAPP @t1315 @t25)) % 53.50/53.71 (define @t2784 () (tptp.hAPP (tptp.hAPP @t2727 (tptp.hAPP (tptp.hAPP @t2723 @t267) @t2)) @t1)) % 53.50/53.71 (define @t2785 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2786 () (tptp.hAPP (tptp.hAPP @t2785 @t2778) @t25)) % 53.50/53.71 (define @t2787 () (tptp.hAPP @t1173 @t25)) % 53.50/53.71 (define @t2788 () (tptp.hAPP (tptp.hAPP @t2727 (tptp.hAPP (tptp.hAPP @t2723 @t844) @t2)) @t1)) % 53.50/53.71 (define @t2789 () (tptp.c_Orderings_Oord__class_Oless__eq @t2661)) % 53.50/53.71 (define @t2790 () (tptp.c_Orderings_Oord__class_Oless__eq @t2744)) % 53.50/53.71 (define @t2791 () (tptp.c_COMBB @t49 @t2757 @t8)) % 53.50/53.71 (define @t2792 () (tptp.c_COMBS @t8 @t49 @t49)) % 53.50/53.71 (define @t2793 () (@list @t1153 @t1 @t25 @t8 @t49)) % 53.50/53.71 (define @t2794 () (tptp.hAPP (tptp.hAPP @t2792 (tptp.hAPP (tptp.hAPP @t2791 @t803) @t1)) @t1153)) % 53.50/53.71 (define @t2795 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2796 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2797 () (tptp.hAPP (tptp.hAPP @t2796 @t796) @t2795)) % 53.50/53.71 (define @t2798 () (tptp.hAPP @t1533 @t881)) % 53.50/53.71 (define @t2799 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t2798)) % 53.50/53.71 (define @t2800 () (tptp.hAPP @t1533 @t2146)) % 53.50/53.71 (define @t2801 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 @t49) @t1848) @t2)) % 53.50/53.71 (define @t2802 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t49 tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2803 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t8) @t638)) % 53.50/53.71 (define @t2804 () (tptp.hAPP tptp.c_fequal @t13)) % 53.50/53.71 (define @t2805 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t49 @t2757) @t8) (tptp.c_If @t49))) % 53.50/53.71 (define @t2806 () (tptp.c_COMBS @t8 @t49 @t2757)) % 53.50/53.71 (define @t2807 () (tptp.c_COMBC @t8 @t49 @t49)) % 53.50/53.71 (define @t2808 () (tptp.hAPP @t2807 (tptp.hAPP (tptp.hAPP @t2806 (tptp.hAPP @t2805 @t2804)) @t33))) % 53.50/53.71 (define @t2809 () (tptp.hAPP (tptp.hAPP @t1090 (tptp.hAPP @t2808 @t1162)) @t1067)) % 53.50/53.71 (define @t2810 () (tptp.hBOOL (tptp.hAPP @t117 @t1067))) % 53.50/53.71 (define @t2811 () (not @t2810)) % 53.50/53.71 (define @t2812 () (tptp.hAPP @t33 @t13)) % 53.50/53.71 (define @t2813 () (@list @t33 @t13 @t1067 @t8 @t49)) % 53.50/53.71 (define @t2814 () (tptp.c_COMBC @t8 @t8 tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t2815 () (tptp.hAPP @t2814 tptp.c_fequal)) % 53.50/53.71 (define @t2816 () (tptp.hAPP @t2815 @t13)) % 53.50/53.71 (define @t2817 () (tptp.hAPP @t2807 (tptp.hAPP (tptp.hAPP @t2806 (tptp.hAPP @t2805 @t2816)) @t33))) % 53.50/53.71 (define @t2818 () (tptp.hAPP (tptp.hAPP @t1090 (tptp.hAPP @t2817 @t1162)) @t1067)) % 53.50/53.71 (define @t2819 () (tptp.hAPP (tptp.hAPP @t1127 (tptp.hAPP @t2817 @t802)) @t1067)) % 53.50/53.71 (define @t2820 () (tptp.hAPP (tptp.hAPP @t1127 (tptp.hAPP @t2808 @t802)) @t1067)) % 53.50/53.71 (define @t2821 () (tptp.hAPP @t1146 @t25)) % 53.50/53.71 (define @t2822 () (tptp.c_COMBI @t8)) % 53.50/53.71 (define @t2823 () (tptp.c_COMBS @t8 @t8 @t8)) % 53.50/53.71 (define @t2824 () (tptp.hAPP (tptp.hAPP @t2823 @t465) @t2822)) % 53.50/53.71 (define @t2825 () (tptp.hAPP @t2463 @t79)) % 53.50/53.71 (define @t2826 () (tptp.c_HOL_OLet @t8 @t8)) % 53.50/53.71 (define @t2827 () (tptp.hAPP @t2826 (tptp.hAPP @t2825 @t2798))) % 53.50/53.71 (define @t2828 () (tptp.c_Power_Opower__class_Opower @t49)) % 53.50/53.71 (define @t2829 () (tptp.c_COMBK @t49 @t8)) % 53.50/53.71 (define @t2830 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2831 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2832 () (tptp.hAPP @t2378 @t79)) % 53.50/53.71 (define @t2833 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t2832 @t2798))) % 53.50/53.71 (define @t2834 () (tptp.hAPP @t2734 @t25)) % 53.50/53.71 (define @t2835 () (tptp.hAPP @t2734 @t88)) % 53.50/53.71 (define @t2836 () (tptp.hAPP (tptp.hAPP @t1090 (tptp.hAPP (tptp.hAPP @t2807 (tptp.hAPP (tptp.hAPP @t2806 (tptp.hAPP @t2805 @t2835)) @t2)) @t1162)) @t25)) % 53.50/53.71 (define @t2837 () (@list @t88 @t2 @t25 @t8 @t49)) % 53.50/53.71 (define @t2838 () (tptp.hAPP @t2463 @t1636)) % 53.50/53.71 (define @t2839 () (tptp.hAPP @t2826 (tptp.hAPP @t2838 @t2798))) % 53.50/53.71 (define @t2840 () (=> @t335 (= @t504 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t8 @t796) @t2803) @t1157) @t25)))) % 53.50/53.71 (define @t2841 () (tptp.c_COMBC @t8 @t29 @t29)) % 53.50/53.71 (define @t2842 () (tptp.hAPP (tptp.hAPP @t2841 @t26) @t30)) % 53.50/53.71 (define @t2843 () (tptp.c_COMBC @t29 @t29 @t29)) % 53.50/53.71 (define @t2844 () (tptp.tc_fun @t29 @t29)) % 53.50/53.71 (define @t2845 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 @t2844 @t8) (tptp.hAPP @t2843 @t84)) @t2842)) % 53.50/53.71 (define @t2846 () (tptp.hAPP (tptp.hAPP @t541 @t2449) @t2448)) % 53.50/53.71 (define @t2847 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2447))) % 53.50/53.71 (define @t2848 () (tptp.hAPP (tptp.hAPP @t2702 @t2366) @t2297)) % 53.50/53.71 (define @t2849 () (tptp.hAPP @t2178 @t2505)) % 53.50/53.71 (define @t2850 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2851 () (tptp.c_If @t2850)) % 53.50/53.71 (define @t2852 () (tptp.tc_fun @t2850 @t2850)) % 53.50/53.71 (define @t2853 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t2850 @t2852) tptp.tc_Int_Oint) @t2851)) % 53.50/53.71 (define @t2854 () (tptp.c_COMBS tptp.tc_Int_Oint @t2850 @t2852)) % 53.50/53.71 (define @t2855 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t2850)) % 53.50/53.71 (define @t2856 () (tptp.hAPP (tptp.hAPP @t2702 @t2505) @t2067)) % 53.50/53.71 (define @t2857 () (tptp.c_Divides_Oadjust @t33)) % 53.50/53.71 (define @t2858 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t2859 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2858 tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2860 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t2861 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2862 () (tptp.hAPP (tptp.hAPP @t2861 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 53.50/53.71 (define @t2863 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2668 tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2864 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t2865 () (tptp.hAPP @t2864 (tptp.hAPP (tptp.hAPP @t2863 tptp.c_fimplies) @t2862))) % 53.50/53.71 (define @t2866 () (tptp.hAPP @t2863 tptp.c_fconj)) % 53.50/53.71 (define @t2867 () (tptp.hAPP @t2864 (tptp.hAPP @t2866 @t2862))) % 53.50/53.71 (define @t2868 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t1976)) % 53.50/53.71 (define @t2869 () (tptp.hBOOL (tptp.hAPP @t2868 (tptp.hAPP @t2867 (tptp.hAPP @t2865 (tptp.hAPP (tptp.hAPP @t2860 (tptp.hAPP (tptp.hAPP @t2859 tptp.c_fequal) tptp.c_Int_Onat)) @t672)))))) % 53.50/53.71 (define @t2870 () (@list @t672 @t1088)) % 53.50/53.71 (define @t2871 () (@list @t1088 @t672)) % 53.50/53.71 (define @t2872 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2873 () (tptp.hAPP @t2872 tptp.c_Nat_OSuc)) % 53.50/53.71 (define @t2874 () (tptp.hAPP @t1533 @t2035)) % 53.50/53.71 (define @t2875 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2876 () (tptp.hAPP @t506 @t692)) % 53.50/53.71 (define @t2877 () (tptp.hAPP @t2825 @t2874)) % 53.50/53.71 (define @t2878 () (tptp.hBOOL (tptp.hAPP @t1713 @t2041))) % 53.50/53.71 (define @t2879 () (not @t2878)) % 53.50/53.71 (define @t2880 () (tptp.c_COMBB @t8 @t2722 @t8)) % 53.50/53.71 (define @t2881 () (tptp.hAPP @t2880 @t465)) % 53.50/53.71 (define @t2882 () (tptp.hAPP @t503 @t1067)) % 53.50/53.71 (define @t2883 () (tptp.hAPP @t2828 @t32)) % 53.50/53.71 (define @t2884 () (tptp.hAPP (tptp.hAPP @t1127 (tptp.hAPP @t2817 @t32)) @t1067)) % 53.50/53.71 (define @t2885 () (tptp.hAPP @t2832 @t2874)) % 53.50/53.71 (define @t2886 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2887 () (tptp.c_COMBB tptp.tc_Int_Oint @t2886 tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2888 () (tptp.c_Divides_Oadjust @t200)) % 53.50/53.71 (define @t2889 () (tptp.c_Divides_OnegDivAlg @t197 @t200)) % 53.50/53.71 (define @t2890 () (= @t2889 (tptp.hAPP @t2888 (tptp.c_Divides_OnegDivAlg @t197 @t2180)))) % 53.50/53.71 (define @t2891 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t200) @t1711))) % 53.50/53.71 (define @t2892 () (tptp.hBOOL (tptp.hAPP @t1713 @t2211))) % 53.50/53.71 (define @t2893 () (or @t2892 @t2891)) % 53.50/53.71 (define @t2894 () (= @t2889 (tptp.hAPP @t2703 @t2211))) % 53.50/53.71 (define @t2895 () (tptp.hAPP @t1633 @t672)) % 53.50/53.71 (define @t2896 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2897 () (tptp.hAPP @t2896 tptp.c_Nat_OSuc)) % 53.50/53.71 (define @t2898 () (tptp.hAPP @t2713 @t1976)) % 53.50/53.71 (define @t2899 () (tptp.hAPP @t1633 @t692)) % 53.50/53.71 (define @t2900 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2708 tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2901 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2902 () (tptp.hAPP @t2838 @t2874)) % 53.50/53.71 (define @t2903 () (tptp.hAPP @t2178 @t1703)) % 53.50/53.71 (define @t2904 () (tptp.c_Divides_Oadjust @t1703)) % 53.50/53.71 (define @t2905 () (tptp.c_Divides_OnegDivAlg @t1702 @t1703)) % 53.50/53.71 (define @t2906 () (tptp.hAPP (tptp.hAPP @t1617 @t1702) @t1703)) % 53.50/53.71 (define @t2907 () (tptp.hBOOL (tptp.hAPP @t1713 @t2906))) % 53.50/53.71 (define @t2908 () (tptp.hBOOL (tptp.hAPP @t1712 @t1703))) % 53.50/53.71 (define @t2909 () (tptp.tc_fun tptp.tc_Int_Oint @t2850)) % 53.50/53.71 (define @t2910 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2909 tptp.tc_Int_Oint) @t2702)) % 53.50/53.71 (define @t2911 () (tptp.c_Nitpick_Onorm__frac @t13 @t33)) % 53.50/53.71 (define @t2912 () (or (= @t13 @t1711) (= @t33 @t1711))) % 53.50/53.71 (define @t2913 () (tptp.hAPP @t2702 @t1711)) % 53.50/53.71 (define @t2914 () (tptp.hAPP @t2913 @t1708)) % 53.50/53.71 (define @t2915 () (tptp.hAPP @t2062 @t13)) % 53.50/53.71 (define @t2916 () (and (=> @t2278 (= @t2911 (tptp.c_Nitpick_Onorm__frac @t2915 (tptp.hAPP @t2062 @t33)))) (=> (not @t2278) (and (=> @t2912 (= @t2911 @t2914)) (=> (not @t2912) (= @t2911 (tptp.hAPP (tptp.hAPP @t2855 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t13) @t33)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t2850) (tptp.hAPP @t2910 @t2271)) (tptp.hAPP @t2195 @t33))))))))) % 53.50/53.71 (define @t2917 () (tptp.hAPP (tptp.hAPP @t2901 (tptp.hAPP (tptp.hAPP @t2900 @t796) tptp.c_Int_Onat)) @t672)) % 53.50/53.71 (define @t2918 () (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2919 () (tptp.hAPP @t2918 @t2)) % 53.50/53.71 (define @t2920 () (tptp.c_If @t8)) % 53.50/53.71 (define @t2921 () (tptp.tc_fun @t8 @t2722)) % 53.50/53.71 (define @t2922 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2921 tptp.tc_Int_Oint) @t2920)) % 53.50/53.71 (define @t2923 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t8 @t2722) (tptp.hAPP @t2922 tptp.c_Nat__Numeral_Oneg))) % 53.50/53.71 (define @t2924 () (tptp.c_COMBS tptp.tc_Int_Oint @t8 @t8)) % 53.50/53.71 (define @t2925 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t8)) % 53.50/53.71 (define @t2926 () (tptp.hAPP @t2925 @t1976)) % 53.50/53.71 (define @t2927 () (tptp.hAPP (tptp.hAPP @t796 @t1934) @t672)) % 53.50/53.71 (define @t2928 () (@list @t672 @t1088 @t2 @t13 @t8)) % 53.50/53.71 (define @t2929 () (tptp.c_Divides_OposDivAlg @t1708 @t1702)) % 53.50/53.71 (define @t2930 () (tptp.hBOOL (tptp.hAPP @t2336 @t1702))) % 53.50/53.71 (define @t2931 () (tptp.c_Divides_OposDivAlg @t197 @t200)) % 53.50/53.71 (define @t2932 () (= @t2931 (tptp.hAPP @t2888 (tptp.c_Divides_OposDivAlg @t197 @t2180)))) % 53.50/53.71 (define @t2933 () (or @t2326 @t2891)) % 53.50/53.71 (define @t2934 () (= @t2931 (tptp.hAPP @t2913 @t197))) % 53.50/53.71 (define @t2935 () (tptp.hBOOL (tptp.hAPP @t264 @t57))) % 53.50/53.71 (define @t2936 () (tptp.hBOOL (tptp.hAPP @t61 @t57))) % 53.50/53.71 (define @t2937 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2770 @t25) @t88) @t48) @t57))) % 53.50/53.71 (define @t2938 () (@list @t57 @t48 @t88 @t25 @t49 @t8)) % 53.50/53.71 (define @t2939 () (not @t2935)) % 53.50/53.71 (define @t2940 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2773 @t25) @t88) @t48) @t57))) % 53.50/53.71 (define @t2941 () (tptp.hBOOL (tptp.hAPP @t306 @t57))) % 53.50/53.71 (define @t2942 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2790 @t178) @t305))) % 53.50/53.71 (define @t2943 () (tptp.hBOOL (tptp.hAPP @t309 @t57))) % 53.50/53.71 (define @t2944 () (tptp.tc_prod @t8 @t8)) % 53.50/53.71 (define @t2945 () (tptp.tc_fun @t2944 tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t2946 () (tptp.c_Orderings_Oord__class_Oless__eq @t2945)) % 53.50/53.71 (define @t2947 () (tptp.c_Orderings_Obot__class_Obot @t2945)) % 53.50/53.71 (define @t2948 () (tptp.hAPP @t2638 @t710)) % 53.50/53.71 (define @t2949 () (@list @t710 @t2638 @t1683 @t8)) % 53.50/53.71 (define @t2950 () (tptp.hAPP @t2913 @t1711)) % 53.50/53.71 (define @t2951 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2952 () (tptp.hAPP @t2919 tptp.c_Int_Onat)) % 53.50/53.71 (define @t2953 () (tptp.hAPP @t2924 (tptp.hAPP @t2923 @t13))) % 53.50/53.71 (define @t2954 () (@list @t1088 @t2 @t13 @t8)) % 53.50/53.71 (define @t2955 () (tptp.c_Divides_OposDivAlg @t1702 @t1703)) % 53.50/53.71 (define @t2956 () (tptp.hAPP @t1604 @t1702)) % 53.50/53.71 (define @t2957 () (tptp.hBOOL (tptp.hAPP @t2956 @t1703))) % 53.50/53.71 (define @t2958 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t658 @t662)) % 53.50/53.71 (define @t2959 () (tptp.hAPP (tptp.hAPP @t2537 @t658) @t662)) % 53.50/53.71 (define @t2960 () (tptp.c_Product__Type_OPair @t8 @t8)) % 53.50/53.71 (define @t2961 () (tptp.hAPP @t2960 @t3)) % 53.50/53.71 (define @t2962 () (tptp.hAPP @t2961 @t3)) % 53.50/53.71 (define @t2963 () (tptp.c_member @t2944)) % 53.50/53.71 (define @t2964 () (tptp.hAPP @t2963 @t2962)) % 53.50/53.71 (define @t2965 () (tptp.hBOOL (tptp.hAPP @t2964 @t2067))) % 53.50/53.71 (define @t2966 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2967 () (tptp.hAPP (tptp.hAPP @t2966 @t1632) @t33)) % 53.50/53.71 (define @t2968 () (tptp.hAPP @t2887 @t1617)) % 53.50/53.71 (define @t2969 () (tptp.hAPP (tptp.c_COMBB @t2909 (tptp.tc_fun @t2886 @t2909) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t2850 tptp.tc_Int_Oint))) % 53.50/53.71 (define @t2970 () (tptp.c_COMBC tptp.tc_Int_Oint @t2886 @t2909)) % 53.50/53.71 (define @t2971 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2972 () (tptp.tc_fun tptp.tc_Int_Oint @t2852)) % 53.50/53.71 (define @t2973 () (tptp.hAPP (tptp.c_COMBB @t2972 (tptp.tc_fun @t2909 @t2909) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t2850 @t2850))) % 53.50/53.71 (define @t2974 () (tptp.c_COMBS tptp.tc_Int_Oint @t2909 @t2909)) % 53.50/53.71 (define @t2975 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t2850)) % 53.50/53.71 (define @t2976 () (tptp.hAPP (tptp.hAPP @t2823 @t844) @t2822)) % 53.50/53.71 (define @t2977 () (tptp.c_COMBC @t8 @t8 @t8)) % 53.50/53.71 (define @t2978 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t2979 () (tptp.hAPP (tptp.hAPP @t2978 tptp.c_fequal) @t1711)) % 53.50/53.71 (define @t2980 () (tptp.tc_fun @t2722 @t8)) % 53.50/53.71 (define @t2981 () (tptp.tc_fun tptp.tc_Int_Oint @t8)) % 53.50/53.71 (define @t2982 () (tptp.tc_fun tptp.tc_Int_Oint @t2722)) % 53.50/53.71 (define @t2983 () (tptp.hAPP @t2612 @t676)) % 53.50/53.71 (define @t2984 () (not @t2334)) % 53.50/53.71 (define @t2985 () (@list @t676 @t8)) % 53.50/53.71 (define @t2986 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t2987 () (tptp.c_Divides_Odivmod__nat @t662 @t658)) % 53.50/53.71 (define @t2988 () (tptp.c_Nat_Onat_Onat__rec @t8 @t13 @t2)) % 53.50/53.71 (define @t2989 () (tptp.hAPP @t2918 @t2988)) % 53.50/53.71 (define @t2990 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2722 tptp.tc_Int_Oint) @t2)) % 53.50/53.71 (define @t2991 () (tptp.c_Nat_Onat_Onat__rec @t8 @t1683 @t2638)) % 53.50/53.71 (define @t2992 () (tptp.hAPP @t2986 @t1157)) % 53.50/53.71 (define @t2993 () (tptp.hAPP @t2992 @t662)) % 53.50/53.71 (define @t2994 () (@var "V_inc_2" $$unsorted)) % 53.50/53.71 (define @t2995 () (tptp.hAPP (tptp.hAPP @t2986 @t2397) @t2399)) % 53.50/53.71 (define @t2996 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t2997 () (tptp.tc_fun tptp.tc_Int_Oint @t2996)) % 53.50/53.71 (define @t2998 () (tptp.c_COMBB @t2996 @t2996 tptp.tc_Int_Oint)) % 53.50/53.71 (define @t2999 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t3000 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t2245 @t2244))) % 53.50/53.71 (define @t3001 () (tptp.c_Divides_Odivmod__int @t197 @t200)) % 53.50/53.71 (define @t3002 () (not @t2279)) % 53.50/53.71 (define @t3003 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t2245 @t2244))) % 53.50/53.71 (define @t3004 () (tptp.hBOOL (tptp.hAPP @t1713 @t200))) % 53.50/53.71 (define @t3005 () (tptp.c_Divides_Opdivmod @t676 @t1695)) % 53.50/53.71 (define @t3006 () (tptp.hAPP (tptp.hAPP @t2975 (tptp.hAPP (tptp.hAPP @t2974 (tptp.hAPP @t2973 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2850 @t2972 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2850 @t2852) (tptp.hAPP @t2853 @t2979))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2850) (tptp.hAPP @t2910 @t2062)) @t1711)))) (tptp.hAPP (tptp.hAPP @t2970 (tptp.hAPP @t2969 (tptp.hAPP @t2910 (tptp.hAPP (tptp.hAPP @t2966 (tptp.hAPP (tptp.hAPP @t2887 @t1632) @t2062)) @t1708)))) (tptp.hAPP @t1632 (tptp.hAPP @t1987 @t1695))))) @t3005)) % 53.50/53.71 (define @t3007 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1695)) % 53.50/53.71 (define @t3008 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t1624 @t3007))) % 53.50/53.71 (define @t3009 () (tptp.c_Divides_Odivmod__int @t676 @t1695)) % 53.50/53.71 (define @t3010 () (= @t1695 @t1711)) % 53.50/53.71 (define @t3011 () (not @t3010)) % 53.50/53.71 (define @t3012 () (=> @t3010 (= @t3009 (tptp.hAPP @t2913 @t676)))) % 53.50/53.71 (define @t3013 () (=> @t2334 (= @t3009 @t2950))) % 53.50/53.71 (define @t3014 () (tptp.hAPP (tptp.hAPP @t2986 @t1801) @t1309)) % 53.50/53.71 (define @t3015 () (@list @t196 @t1309 @t1801 @t200 @t197)) % 53.50/53.71 (define @t3016 () (@var "V_qr_H" $$unsorted)) % 53.50/53.71 (define @t3017 () (@var "V_qr" $$unsorted)) % 53.50/53.71 (define @t3018 () (tptp.c_Divides_Odivmod__nat__rel @t662 @t658)) % 53.50/53.71 (define @t3019 () (tptp.hBOOL (tptp.hAPP @t3018 @t3017))) % 53.50/53.71 (define @t3020 () (tptp.hBOOL (tptp.hAPP @t3018 @t3014))) % 53.50/53.71 (define @t3021 () (@list @t1309 @t1801 @t658 @t662)) % 53.50/53.71 (define @t3022 () (tptp.hAPP @t2702 @t1801)) % 53.50/53.71 (define @t3023 () (tptp.hAPP @t3022 @t1309)) % 53.50/53.71 (define @t3024 () (@var "V_br" $$unsorted)) % 53.50/53.71 (define @t3025 () (@var "V_ar" $$unsorted)) % 53.50/53.71 (define @t3026 () (tptp.hAPP (tptp.hAPP @t796 @t3025) @t3024)) % 53.50/53.71 (define @t3027 () (@var "V_bq" $$unsorted)) % 53.50/53.71 (define @t3028 () (@var "V_aq" $$unsorted)) % 53.50/53.71 (define @t3029 () (tptp.c_Divides_Odivmod__nat__rel @t200 @t196)) % 53.50/53.71 (define @t3030 () (@list @t3024 @t3027 @t200 @t3025 @t3028 @t196 @t197)) % 53.50/53.71 (define @t3031 () (tptp.hAPP @t1987 @t740)) % 53.50/53.71 (define @t3032 () (tptp.hAPP @t1987 @t726)) % 53.50/53.71 (define @t3033 () (tptp.c_Divides_Opdivmod @t726 @t740)) % 53.50/53.71 (define @t3034 () (= @t740 @t1711)) % 53.50/53.71 (define @t3035 () (tptp.hAPP @t2390 @t1309)) % 53.50/53.71 (define @t3036 () (@list @t197 @t1309 @t1801 @t196 @t200)) % 53.50/53.71 (define @t3037 () (tptp.hAPP @t2739 @t13)) % 53.50/53.71 (define @t3038 () (tptp.hAPP @t3037 @t33)) % 53.50/53.71 (define @t3039 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t49 tptp.tc_HOL_Obool)) % 53.50/53.71 (define @t3040 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3039 @t2) @t3038))) % 53.50/53.71 (define @t3041 () (tptp.hAPP @t794 @t33)) % 53.50/53.71 (define @t3042 () (tptp.hBOOL @t3041)) % 53.50/53.71 (define @t3043 () (tptp.hAPP @t2178 @t33)) % 53.50/53.71 (define @t3044 () (tptp.c_Divides_OnegDivAlg @t13 @t33)) % 53.50/53.71 (define @t3045 () (tptp.hBOOL (tptp.hAPP @t2327 @t1711))) % 53.50/53.71 (define @t3046 () (tptp.hAPP @t1617 @t13)) % 53.50/53.71 (define @t3047 () (tptp.hAPP @t3046 @t33)) % 53.50/53.71 (define @t3048 () (or (tptp.hBOOL (tptp.hAPP @t1713 @t3047)) @t3045)) % 53.50/53.71 (define @t3049 () (tptp.hAPP (tptp.hAPP @t2702 @t13) @t33)) % 53.50/53.71 (define @t3050 () (tptp.c_Wellfounded_Oaccp @t2850 tptp.c_Divides_OnegDivAlg__rel)) % 53.50/53.71 (define @t3051 () (tptp.hAPP @t2814 @t160)) % 53.50/53.71 (define @t3052 () (tptp.c_Wellfounded_Oaccp @t8 @t2067)) % 53.50/53.71 (define @t3053 () (tptp.hAPP @t2067 @t3)) % 53.50/53.71 (define @t3054 () (tptp.hBOOL (tptp.hAPP @t3052 @t13))) % 53.50/53.71 (define @t3055 () (@list @t13 @t2067 @t8)) % 53.50/53.71 (define @t3056 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2067 @t13) @t33))) % 53.50/53.71 (define @t3057 () (@var "V_R1_2" $$unsorted)) % 53.50/53.71 (define @t3058 () (@var "V_R2_2" $$unsorted)) % 53.50/53.71 (define @t3059 () (tptp.tc_fun @t8 @t29)) % 53.50/53.71 (define @t3060 () (tptp.c_Orderings_Oord__class_Oless__eq @t3059)) % 53.50/53.71 (define @t3061 () (@list @t3058 @t3057 @t8)) % 53.50/53.71 (define @t3062 () (tptp.c_Product__Type_OPair @t98 @t8)) % 53.50/53.71 (define @t3063 () (tptp.hAPP (tptp.hAPP @t3062 @t197) @t200)) % 53.50/53.71 (define @t3064 () (tptp.hAPP (tptp.hAPP @t2739 @t1554) @t1553)) % 53.50/53.71 (define @t3065 () (tptp.hAPP (tptp.hAPP @t2739 @t440) @t1391)) % 53.50/53.71 (define @t3066 () (@list @t440 @t1391)) % 53.50/53.71 (define @t3067 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t49 @t1685)) % 53.50/53.71 (define @t3068 () (tptp.hAPP @t3067 @t32)) % 53.50/53.71 (define @t3069 () (tptp.c_Product__Type_OPair @t49 @t1685)) % 53.50/53.71 (define @t3070 () (tptp.hAPP (tptp.hAPP @t3069 @t13) @t33)) % 53.50/53.71 (define @t3071 () (tptp.c_Product__Type_Oprod_Oprod__case @t49 @t1685 @t8)) % 53.50/53.71 (define @t3072 () (tptp.hAPP @t3071 @t2)) % 53.50/53.71 (define @t3073 () (@list @t33 @t13 @t2 @t8 @t1685 @t49)) % 53.50/53.71 (define @t3074 () (@list @t33 @t13 @t2 @t49 @t8)) % 53.50/53.71 (define @t3075 () (tptp.c_Product__Type_OPair @t8 @t1685)) % 53.50/53.71 (define @t3076 () (tptp.hAPP (tptp.hAPP @t3075 @t48) @t57)) % 53.50/53.71 (define @t3077 () (tptp.c_Product__Type_Oapsnd @t1685 @t49 @t8 @t2)) % 53.50/53.71 (define @t3078 () (tptp.tc_fun @t49 @t1685)) % 53.50/53.71 (define @t3079 () (@list @t2 @t1685 @t49 @t8)) % 53.50/53.71 (define @t3080 () (@var "T_f" $$unsorted)) % 53.50/53.71 (define @t3081 () (tptp.tc_prod @t49 @t1685)) % 53.50/53.71 (define @t3082 () (@var "T_e" $$unsorted)) % 53.50/53.71 (define @t3083 () (tptp.c_Divides_OposDivAlg @t13 @t33)) % 53.50/53.71 (define @t3084 () (or (tptp.hBOOL (tptp.hAPP @t2270 @t33)) @t3045)) % 53.50/53.71 (define @t3085 () (tptp.c_Wellfounded_Oaccp @t2850 tptp.c_Divides_OposDivAlg__rel)) % 53.50/53.71 (define @t3086 () (tptp.c_Wellfounded_Oaccp @t2850 tptp.c_Nitpick_Onorm__frac__rel)) % 53.50/53.71 (define @t3087 () (@var "V_a0_2" $$unsorted)) % 53.50/53.71 (define @t3088 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t3087) @t406))) % 53.50/53.71 (define @t3089 () (tptp.hAPP @t178 @t440)) % 53.50/53.71 (define @t3090 () (tptp.hBOOL (tptp.hAPP @t3089 @t1391))) % 53.50/53.71 (define @t3091 () (tptp.hBOOL (tptp.hAPP @t3089 (tptp.hAPP @t2178 @t1391)))) % 53.50/53.71 (define @t3092 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1391) @t1711))) % 53.50/53.71 (define @t3093 () (tptp.hAPP (tptp.hAPP @t2702 @t440) @t1391)) % 53.50/53.71 (define @t3094 () (tptp.hAPP (tptp.hAPP @t2702 @t3087) @t406)) % 53.50/53.71 (define @t3095 () (@list @t178 @t406 @t3087)) % 53.50/53.71 (define @t3096 () (tptp.c_Divides_Odivmod__int__rel @t197 @t200)) % 53.50/53.71 (define @t3097 () (tptp.hBOOL (tptp.hAPP @t3096 @t3023))) % 53.50/53.71 (define @t3098 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t49 @t1685 @t29) @t32)) % 53.50/53.71 (define @t3099 () (tptp.hAPP @t75 @t79)) % 53.50/53.71 (define @t3100 () (tptp.hAPP (tptp.hAPP @t32 @t13) @t33)) % 53.50/53.71 (define @t3101 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t49 @t2750)) % 53.50/53.71 (define @t3102 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t197 @t197) @t3023))) % 53.50/53.71 (define @t3103 () (@list @t1309 @t1801 @t197)) % 53.50/53.71 (define @t3104 () (tptp.hBOOL (tptp.hAPP @t3096 (tptp.hAPP (tptp.hAPP @t2702 @t1810) @t1813)))) % 53.50/53.71 (define @t3105 () (@list @t1813 @t1810 @t1309 @t1801 @t200 @t197)) % 53.50/53.71 (define @t3106 () (@list @t1309 @t1801 @t200 @t197)) % 53.50/53.71 (define @t3107 () (tptp.hAPP (tptp.hAPP @t1617 @t3025) @t3024)) % 53.50/53.71 (define @t3108 () (not (= @t196 @t1711))) % 53.50/53.71 (define @t3109 () (tptp.c_Divides_Odivmod__int__rel @t200 @t196)) % 53.50/53.71 (define @t3110 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t2067) @t1711))) % 53.50/53.71 (define @t3111 () (tptp.hAPP @t2062 @t2505)) % 53.50/53.71 (define @t3112 () (tptp.c_Divides_Odivmod__int__rel @t13 @t33)) % 53.50/53.71 (define @t3113 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.71 (define @t3114 () (tptp.tc_fun tptp.tc_Nat_Onat @t3113)) % 53.50/53.71 (define @t3115 () (tptp.c_Divides_Odivmod__nat @t673 @t672)) % 53.50/53.71 (define @t3116 () (or @t1207 @t675)) % 53.50/53.71 (define @t3117 () (tptp.hAPP @t1803 @t1309)) % 53.50/53.71 (define @t3118 () (tptp.hAPP @t2864 (tptp.hAPP @t2866 @t1713))) % 53.50/53.71 (define @t3119 () (tptp.tc_fun tptp.tc_Int_Oint @t2668)) % 53.50/53.71 (define @t3120 () (tptp.tc_fun @t2996 @t2996)) % 53.50/53.71 (define @t3121 () (tptp.c_Nitpick_Onat__gcd @t48 @t57)) % 53.50/53.71 (define @t3122 () (= @t57 @t1157)) % 53.50/53.71 (define @t3123 () (tptp.hAPP (tptp.hAPP @t2986 @t48) @t57)) % 53.50/53.71 (define @t3124 () (tptp.c_Wellfounded_Oaccp @t3113 tptp.c_Nitpick_Onat__gcd__rel)) % 53.50/53.71 (define @t3125 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t8) tptp.c_Int_Onat) @t2)) % 53.50/53.71 (define @t3126 () (forall @t7 (=> @t183 (tptp.c_Nat__Transfer_Ois__nat @t5)))) % 53.50/53.71 (define @t3127 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t2596 @t2131))) % 53.50/53.71 (define @t3128 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 53.50/53.71 (define @t3129 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1708 @t1702)) % 53.50/53.71 (define @t3130 () (tptp.hBOOL (tptp.hAPP @t2956 @t1711))) % 53.50/53.71 (define @t3131 () (tptp.c_Product__Type_OPair @t8 @t98)) % 53.50/53.71 (define @t3132 () (tptp.c_Product__Type_Osnd @t8 @t98)) % 53.50/53.71 (define @t3133 () (tptp.c_Product__Type_Osnd @t49 @t1685)) % 53.50/53.71 (define @t3134 () (tptp.hAPP @t3133 @t48)) % 53.50/53.71 (define @t3135 () (tptp.c_Product__Type_Osnd @t49 @t8)) % 53.50/53.71 (define @t3136 () (@list @t48 @t2 @t1685 @t8 @t49)) % 53.50/53.71 (define @t3137 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t8 @t1685) @t48)) % 53.50/53.71 (define @t3138 () (tptp.hAPP @t3077 @t48)) % 53.50/53.71 (define @t3139 () (tptp.hAPP @t3135 @t2671)) % 53.50/53.71 (define @t3140 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t94) @t643))) % 53.50/53.71 (define @t3141 () (tptp.c_Wellfounded_Omeasure @t8)) % 53.50/53.71 (define @t3142 () (tptp.hAPP @t3141 @t2)) % 53.50/53.71 (define @t3143 () (tptp.hAPP @t2960 @t48)) % 53.50/53.71 (define @t3144 () (tptp.hAPP @t2963 (tptp.hAPP @t3143 @t57))) % 53.50/53.71 (define @t3145 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 53.50/53.71 (define @t3146 () (tptp.hAPP @t2469 @t1702)) % 53.50/53.71 (define @t3147 () (tptp.c_Product__Type_Osnd @t8 @t49)) % 53.50/53.71 (define @t3148 () (@var "V_s_2" $$unsorted)) % 53.50/53.71 (define @t3149 () (tptp.c_Product__Type_Ofst @t8 @t49)) % 53.50/53.71 (define @t3150 () (tptp.c_Product__Type_Osnd @t98 @t8)) % 53.50/53.71 (define @t3151 () (tptp.hAPP @t3150 @t2413)) % 53.50/53.71 (define @t3152 () (tptp.c_Product__Type_Ofst @t98 @t8)) % 53.50/53.71 (define @t3153 () (tptp.hAPP @t3152 @t2413)) % 53.50/53.71 (define @t3154 () (tptp.hAPP (tptp.hAPP @t3062 @t97) @t152)) % 53.50/53.71 (define @t3155 () (@list @t48 @t2 @t1685 @t49 @t8)) % 53.50/53.71 (define @t3156 () (tptp.hAPP @t3149 @t2671)) % 53.50/53.71 (define @t3157 () (tptp.hAPP @t3133 @t2671)) % 53.50/53.71 (define @t3158 () (tptp.c_Product__Type_Ofst @t49 @t1685)) % 53.50/53.72 (define @t3159 () (tptp.hAPP @t3158 @t2671)) % 53.50/53.72 (define @t3160 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3161 () (tptp.hAPP (tptp.hAPP @t2739 @t2671) @t2505)) % 53.50/53.72 (define @t3162 () (tptp.c_Product__Type_OPair @t49 @t8)) % 53.50/53.72 (define @t3163 () (tptp.hAPP @t3162 @t48)) % 53.50/53.72 (define @t3164 () (tptp.hAPP @t3163 @t57)) % 53.50/53.72 (define @t3165 () (tptp.c_Product__Type_Ofst @t49 @t8)) % 53.50/53.72 (define @t3166 () (tptp.hAPP @t178 @t57)) % 53.50/53.72 (define @t3167 () (tptp.hAPP @t178 @t429)) % 53.50/53.72 (define @t3168 () (tptp.hAPP (tptp.hAPP @t2986 @t3) @t429)) % 53.50/53.72 (define @t3169 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3170 () (@var "V_qr_2" $$unsorted)) % 53.50/53.72 (define @t3171 () (tptp.hAPP @t3160 @t3170)) % 53.50/53.72 (define @t3172 () (tptp.hAPP @t3169 @t3170)) % 53.50/53.72 (define @t3173 () (tptp.c_Divides_Odivmod__nat__rel @t673 @t672)) % 53.50/53.72 (define @t3174 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.72 (define @t3175 () (tptp.hAPP @t2687 @t2077)) % 53.50/53.72 (define @t3176 () (tptp.hAPP @t677 @t638)) % 53.50/53.72 (define @t3177 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3178 () (tptp.hAPP @t3177 @t672)) % 53.50/53.72 (define @t3179 () (@list @t672 @t35 @t13)) % 53.50/53.72 (define @t3180 () (tptp.c_Wellfounded_Omlex__prod @t8 @t2 @t2733)) % 53.50/53.72 (define @t3181 () (tptp.hBOOL (tptp.hAPP @t3144 @t3180))) % 53.50/53.72 (define @t3182 () (tptp.hBOOL (tptp.hAPP @t3144 @t2733))) % 53.50/53.72 (define @t3183 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t94) @t643))) % 53.50/53.72 (define @t3184 () (@list @t2733 @t8 @t57 @t48 @t2)) % 53.50/53.72 (define @t3185 () (tptp.hAPP @t3177 @t676)) % 53.50/53.72 (define @t3186 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3187 () (tptp.c_Orderings_Obot__class_Obot @t2858)) % 53.50/53.72 (define @t3188 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3189 () (@list @t1024)) % 53.50/53.72 (define @t3190 () (tptp.c_SetInterval_Oord__class_OlessThan @t8)) % 53.50/53.72 (define @t3191 () (tptp.hAPP @t3190 @t57)) % 53.50/53.72 (define @t3192 () (tptp.hAPP @t3190 @t48)) % 53.50/53.72 (define @t3193 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3194 () (tptp.hAPP @t3193 @t676)) % 53.50/53.72 (define @t3195 () (tptp.hAPP @t3177 @t703)) % 53.50/53.72 (define @t3196 () (tptp.hAPP @t3190 @t676)) % 53.50/53.72 (define @t3197 () (tptp.hAPP @t75 @t972)) % 53.50/53.72 (define @t3198 () (@list @t676 @t972 @t8)) % 53.50/53.72 (define @t3199 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t8)) % 53.50/53.72 (define @t3200 () (tptp.hAPP @t3199 @t2)) % 53.50/53.72 (define @t3201 () (tptp.hAPP @t3177 @t692)) % 53.50/53.72 (define @t3202 () (@list @t672 @t2 @t8)) % 53.50/53.72 (define @t3203 () (tptp.hAPP @t368 @t673)) % 53.50/53.72 (define @t3204 () (tptp.hAPP (tptp.hAPP @t26 @t676) @t30)) % 53.50/53.72 (define @t3205 () (tptp.c_member tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3206 () (tptp.hAPP @t3205 @t3)) % 53.50/53.72 (define @t3207 () (tptp.hBOOL (tptp.hAPP @t3206 @t1789))) % 53.50/53.72 (define @t3208 () (tptp.hBOOL (tptp.hAPP @t3186 @t1789))) % 53.50/53.72 (define @t3209 () (@list @t1789)) % 53.50/53.72 (define @t3210 () (tptp.hAPP @t465 @t1849)) % 53.50/53.72 (define @t3211 () (tptp.c_COMBB @t8 @t2722 tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3212 () (tptp.hAPP @t465 (tptp.hAPP @t1407 @t641))) % 53.50/53.72 (define @t3213 () (tptp.class_Rings_Ocomm__semiring__1 @t8)) % 53.50/53.72 (define @t3214 () (tptp.hAPP @t796 @t13)) % 53.50/53.72 (define @t3215 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3216 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3217 () (@var "V_less__eq_2" $$unsorted)) % 53.50/53.72 (define @t3218 () (tptp.hAPP @t3217 @t972)) % 53.50/53.72 (define @t3219 () (@list @t676 @t3217 @t972 @t8)) % 53.50/53.72 (define @t3220 () (tptp.c_Orderings_Otop__class_Otop @t2858)) % 53.50/53.72 (define @t3221 () (tptp.hBOOL (tptp.hAPP @t3218 @t1024))) % 53.50/53.72 (define @t3222 () (@var "V_less_2" $$unsorted)) % 53.50/53.72 (define @t3223 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3222 @t1695) @t972))) % 53.50/53.72 (define @t3224 () (@list @t1024 @t1695 @t3222 @t3217 @t972 @t8)) % 53.50/53.72 (define @t3225 () (tptp.hAPP @t3222 @t972)) % 53.50/53.72 (define @t3226 () (tptp.hBOOL (tptp.hAPP @t3225 @t1024))) % 53.50/53.72 (define @t3227 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3217 @t1695) @t972))) % 53.50/53.72 (define @t3228 () (@list @t676 @t3222 @t972 @t8)) % 53.50/53.72 (define @t3229 () (tptp.c_Product__Type_OPair @t49 @t49)) % 53.50/53.72 (define @t3230 () (tptp.tc_prod @t49 @t49)) % 53.50/53.72 (define @t3231 () (tptp.c_member @t3230)) % 53.50/53.72 (define @t3232 () (tptp.hAPP @t2960 @t13)) % 53.50/53.72 (define @t3233 () (tptp.c_Product__Type_OPair @t2660 @t2660)) % 53.50/53.72 (define @t3234 () (tptp.c_member (tptp.tc_prod @t2660 @t2660))) % 53.50/53.72 (define @t3235 () (tptp.c_Wellfounded_Ofinite__psubset @t8)) % 53.50/53.72 (define @t3236 () (tptp.c_Product__Type_OPair @t29 @t29)) % 53.50/53.72 (define @t3237 () (tptp.tc_prod @t29 @t29)) % 53.50/53.72 (define @t3238 () (tptp.c_member @t3237)) % 53.50/53.72 (define @t3239 () (tptp.hAPP @t3238 (tptp.hAPP (tptp.hAPP @t3236 @t25) @t88))) % 53.50/53.72 (define @t3240 () (tptp.c_Recdef_Osame__fst @t8 @t49 @t178 @t2733)) % 53.50/53.72 (define @t3241 () (@var "V_y_H_2" $$unsorted)) % 53.50/53.72 (define @t3242 () (tptp.hAPP @t2733 @t48)) % 53.50/53.72 (define @t3243 () (tptp.hAPP @t2 @t972)) % 53.50/53.72 (define @t3244 () (tptp.hBOOL (tptp.hAPP @t3197 @t3148))) % 53.50/53.72 (define @t3245 () (tptp.hAPP @t1091 @t3148)) % 53.50/53.72 (define @t3246 () (forall @t1419 (=> (tptp.hBOOL (tptp.hAPP @t1900 @t3148)) (tptp.hBOOL (tptp.hAPP @t1392 @t1899))))) % 53.50/53.72 (define @t3247 () (tptp.hBOOL (tptp.hAPP @t334 @t3148))) % 53.50/53.72 (define @t3248 () (tptp.class_Groups_Oordered__ab__group__add @t49)) % 53.50/53.72 (define @t3249 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3250 () (tptp.hAPP @t2710 (tptp.hAPP @t2709 @t692))) % 53.50/53.72 (define @t3251 () (tptp.c_Orderings_Oord__class_Omax @t8)) % 53.50/53.72 (define @t3252 () (tptp.hAPP @t160 @t79)) % 53.50/53.72 (define @t3253 () (tptp.hAPP @t3251 @t48)) % 53.50/53.72 (define @t3254 () (tptp.hAPP @t3253 @t57)) % 53.50/53.72 (define @t3255 () (tptp.c_Orderings_Oord__class_Omax @t98)) % 53.50/53.72 (define @t3256 () (tptp.hAPP @t3255 @t197)) % 53.50/53.72 (define @t3257 () (tptp.hAPP @t3256 @t200)) % 53.50/53.72 (define @t3258 () (tptp.hAPP @t99 @t3257)) % 53.50/53.72 (define @t3259 () (tptp.hBOOL (tptp.hAPP @t3258 @t97))) % 53.50/53.72 (define @t3260 () (tptp.hAPP @t3255 @t152)) % 53.50/53.72 (define @t3261 () (tptp.hAPP @t3260 @t216)) % 53.50/53.72 (define @t3262 () (tptp.hAPP @t3255 @t97)) % 53.50/53.72 (define @t3263 () (tptp.hAPP @t3262 @t152)) % 53.50/53.72 (define @t3264 () (tptp.hBOOL (tptp.hAPP @t100 @t3257))) % 53.50/53.72 (define @t3265 () (tptp.hAPP @t3262 @t3261)) % 53.50/53.72 (define @t3266 () (tptp.hAPP @t3255 @t200)) % 53.50/53.72 (define @t3267 () (tptp.hAPP @t3256 (tptp.hAPP @t3266 @t196))) % 53.50/53.72 (define @t3268 () (tptp.hAPP @t3262 @t216)) % 53.50/53.72 (define @t3269 () (tptp.hAPP @t3260 @t97)) % 53.50/53.72 (define @t3270 () (tptp.hAPP (tptp.hAPP @t1558 @t3263) @t3268)) % 53.50/53.72 (define @t3271 () (tptp.hAPP @t3262 @t1561)) % 53.50/53.72 (define @t3272 () (tptp.hAPP (tptp.hAPP @t3255 @t1563) @t1568)) % 53.50/53.72 (define @t3273 () (tptp.hAPP @t1559 @t3261)) % 53.50/53.72 (define @t3274 () (tptp.hAPP @t3249 @t658)) % 53.50/53.72 (define @t3275 () (tptp.hBOOL (tptp.hAPP @t367 @t3257))) % 53.50/53.72 (define @t3276 () (tptp.hAPP (tptp.hAPP @t3251 @t1572) @t1571)) % 53.50/53.72 (define @t3277 () (tptp.class_Groups_Olinordered__ab__group__add @t98)) % 53.50/53.72 (define @t3278 () (tptp.hAPP @t3249 @t672)) % 53.50/53.72 (define @t3279 () (tptp.hAPP @t3249 @t692)) % 53.50/53.72 (define @t3280 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t3251)) % 53.50/53.72 (define @t3281 () (tptp.hAPP @t3280 @t33)) % 53.50/53.72 (define @t3282 () (tptp.hAPP @t3281 @t25)) % 53.50/53.72 (define @t3283 () (tptp.hAPP @t3251 @t13)) % 53.50/53.72 (define @t3284 () (tptp.hAPP @t3253 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t243))) % 53.50/53.72 (define @t3285 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t25)) % 53.50/53.72 (define @t3286 () (= @t3285 @t48)) % 53.50/53.72 (define @t3287 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 @t25)) % 53.50/53.72 (define @t3288 () (tptp.hAPP @t3253 (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 @t243))) % 53.50/53.72 (define @t3289 () (tptp.hAPP @t305 @t3)) % 53.50/53.72 (define @t3290 () (tptp.hAPP @t3253 @t3287)) % 53.50/53.72 (define @t3291 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t3285) @t25))) % 53.50/53.72 (define @t3292 () (tptp.hAPP @t3253 @t3285)) % 53.50/53.72 (define @t3293 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t3251) @t25)) % 53.50/53.72 (define @t3294 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 @t55)) % 53.50/53.72 (define @t3295 () (=> @t68 (= @t3294 @t3290))) % 53.50/53.72 (define @t3296 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 @t88)) % 53.50/53.72 (define @t3297 () (tptp.hAPP (tptp.hAPP @t3251 @t3287) @t3296)) % 53.50/53.72 (define @t3298 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 @t131)) % 53.50/53.72 (define @t3299 () (= @t3298 @t3297)) % 53.50/53.72 (define @t3300 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1789)) % 53.50/53.72 (define @t3301 () (tptp.hAPP (tptp.hAPP @t3280 @t13) @t25)) % 53.50/53.72 (define @t3302 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t55)) % 53.50/53.72 (define @t3303 () (=> @t68 (= @t3302 @t3292))) % 53.50/53.72 (define @t3304 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t88)) % 53.50/53.72 (define @t3305 () (tptp.hAPP (tptp.hAPP @t3251 @t3285) @t3304)) % 53.50/53.72 (define @t3306 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t131)) % 53.50/53.72 (define @t3307 () (= @t3306 @t3305)) % 53.50/53.72 (define @t3308 () (tptp.hAPP (tptp.hAPP @t3280 @t48) @t25)) % 53.50/53.72 (define @t3309 () (tptp.hAPP (tptp.hAPP @t3251 @t3) @t429)) % 53.50/53.72 (define @t3310 () (forall @t435 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t3309) @t437)))) % 53.50/53.72 (define @t3311 () (tptp.c_Product__Type_Osnd @t1685 @t3082)) % 53.50/53.72 (define @t3312 () (tptp.hAPP @t1 (tptp.hAPP @t3311 @t48))) % 53.50/53.72 (define @t3313 () (tptp.c_Product__Type_Ofst @t1685 @t3082)) % 53.50/53.72 (define @t3314 () (tptp.hAPP @t2 (tptp.hAPP @t3313 @t48))) % 53.50/53.72 (define @t3315 () (tptp.c_Product__Type_Oapfst @t1685 @t8 @t49 @t2)) % 53.50/53.72 (define @t3316 () (@list @t48 @t1 @t3082 @t2 @t49 @t8 @t1685)) % 53.50/53.72 (define @t3317 () (tptp.c_Product__Type_Osnd @t3082 @t1685)) % 53.50/53.72 (define @t3318 () (tptp.c_Product__Type_Oapfst @t3082 @t8 @t1685 @t1)) % 53.50/53.72 (define @t3319 () (@list @t48 @t1 @t3082 @t2 @t8 @t49 @t1685)) % 53.50/53.72 (define @t3320 () (tptp.c_Product__Type_OPair @t1685 @t49)) % 53.50/53.72 (define @t3321 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t1685 @t49) @t48)) % 53.50/53.72 (define @t3322 () (tptp.hAPP @t2 @t3321)) % 53.50/53.72 (define @t3323 () (tptp.hAPP @t3315 @t48)) % 53.50/53.72 (define @t3324 () (tptp.c_Product__Type_OPair @t3113 @t3113)) % 53.50/53.72 (define @t3325 () (tptp.tc_prod @t3113 @t3113)) % 53.50/53.72 (define @t3326 () (tptp.c_member @t3325)) % 53.50/53.72 (define @t3327 () (tptp.hAPP @t3326 (tptp.hAPP (tptp.hAPP @t3324 (tptp.hAPP (tptp.hAPP @t2986 @t13) @t3148)) (tptp.hAPP (tptp.hAPP @t2986 @t33) @t20)))) % 53.50/53.72 (define @t3328 () (tptp.hBOOL (tptp.hAPP @t3327 tptp.c_FunDef_Opair__less))) % 53.50/53.72 (define @t3329 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t13) @t33))) % 53.50/53.72 (define @t3330 () (@list @t20 @t3148 @t33 @t13)) % 53.50/53.72 (define @t3331 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t673 @t672)) % 53.50/53.72 (define @t3332 () (tptp.hAPP @t2951 @t796)) % 53.50/53.72 (define @t3333 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Nat_Onat) @t2)) % 53.50/53.72 (define @t3334 () (tptp.hAPP (tptp.hAPP @t3199 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t8 @t8) (tptp.hAPP (tptp.hAPP @t3211 @t267) @t2)) (tptp.hAPP @t3333 (tptp.hAPP @t3332 @t638)))) @t3331)) % 53.50/53.72 (define @t3335 () (tptp.hAPP @t819 @t638)) % 53.50/53.72 (define @t3336 () (@list @t2 @t672 @t673 @t8)) % 53.50/53.72 (define @t3337 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t638 @t672)) % 53.50/53.72 (define @t3338 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t49)) % 53.50/53.72 (define @t3339 () (tptp.c_Finite__Set_Ofold @t8 @t49 (tptp.hAPP (tptp.hAPP @t2791 @t3338) @t2))) % 53.50/53.72 (define @t3340 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t49)) % 53.50/53.72 (define @t3341 () (tptp.hAPP @t3340 @t25)) % 53.50/53.72 (define @t3342 () (tptp.hAPP @t3341 @t2)) % 53.50/53.72 (define @t3343 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t49)) % 53.50/53.72 (define @t3344 () (tptp.hAPP @t88 @t13)) % 53.50/53.72 (define @t3345 () (tptp.hBOOL (tptp.hAPP @t76 @t3344))) % 53.50/53.72 (define @t3346 () (tptp.hAPP @t343 @t13)) % 53.50/53.72 (define @t3347 () (tptp.hBOOL (tptp.hAPP @t3346 @t25))) % 53.50/53.72 (define @t3348 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t49 @t29)) % 53.50/53.72 (define @t3349 () (tptp.hAPP @t3348 @t25)) % 53.50/53.72 (define @t3350 () (tptp.hAPP @t3349 @t88)) % 53.50/53.72 (define @t3351 () (tptp.hBOOL (tptp.hAPP @t76 @t3350))) % 53.50/53.72 (define @t3352 () (@list @t13 @t88 @t25 @t49 @t33 @t8)) % 53.50/53.72 (define @t3353 () (tptp.hAPP @t3344 @t33)) % 53.50/53.72 (define @t3354 () (tptp.hBOOL @t3353)) % 53.50/53.72 (define @t3355 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t80)) % 53.50/53.72 (define @t3356 () (tptp.hAPP @t3355 @t25)) % 53.50/53.72 (define @t3357 () (tptp.hAPP @t3356 @t88)) % 53.50/53.72 (define @t3358 () (tptp.hBOOL (tptp.hAPP @t3357 @t33))) % 53.50/53.72 (define @t3359 () (@list @t13 @t33 @t88 @t25 @t49 @t8)) % 53.50/53.72 (define @t3360 () (tptp.hBOOL (tptp.hAPP @t3353 @t32))) % 53.50/53.72 (define @t3361 () (tptp.tc_fun @t49 @t2750)) % 53.50/53.72 (define @t3362 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t3361)) % 53.50/53.72 (define @t3363 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3362 @t25) @t88) @t33) @t32))) % 53.50/53.72 (define @t3364 () (@list @t13 @t32 @t33 @t88 @t25 @t1685 @t49 @t8)) % 53.50/53.72 (define @t3365 () (@var "V_I_2" $$unsorted)) % 53.50/53.72 (define @t3366 () (tptp.hAPP (tptp.hAPP @t3355 @t3365) @t25)) % 53.50/53.72 (define @t3367 () (tptp.hAPP @t25 @t3)) % 53.50/53.72 (define @t3368 () (tptp.hBOOL (tptp.hAPP @t346 @t3367))) % 53.50/53.72 (define @t3369 () (tptp.hBOOL (tptp.hAPP @t181 @t3365))) % 53.50/53.72 (define @t3370 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1695 @t1024)) % 53.50/53.72 (define @t3371 () (@list @t1024 @t1695)) % 53.50/53.72 (define @t3372 () (tptp.c_COMBI @t29)) % 53.50/53.72 (define @t3373 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t29 @t29)) % 53.50/53.72 (define @t3374 () (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t1067)) % 53.50/53.72 (define @t3375 () (@list @t1067 @t8)) % 53.50/53.72 (define @t3376 () (tptp.hAPP @t88 @t3)) % 53.50/53.72 (define @t3377 () (tptp.hBOOL (tptp.hAPP @t1087 @t25))) % 53.50/53.72 (define @t3378 () (forall @t7 (=> @t3377 (= @t3376 @t2651)))) % 53.50/53.72 (define @t3379 () (@list @t88 @t25 @t8 @t49)) % 53.50/53.72 (define @t3380 () (tptp.hBOOL (tptp.hAPP @t1087 @t3365))) % 53.50/53.72 (define @t3381 () (tptp.hAPP @t3348 @t3365)) % 53.50/53.72 (define @t3382 () (tptp.hAPP @t3381 @t25)) % 53.50/53.72 (define @t3383 () (@list @t25 @t3365 @t49 @t88 @t8)) % 53.50/53.72 (define @t3384 () (tptp.c_COMBB @t29 @t2844 @t49)) % 53.50/53.72 (define @t3385 () (tptp.hAPP (tptp.hAPP @t3384 @t486) @t25)) % 53.50/53.72 (define @t3386 () (tptp.c_COMBS @t49 @t29 @t29)) % 53.50/53.72 (define @t3387 () (tptp.hAPP (tptp.hAPP @t3386 @t3385) @t88)) % 53.50/53.72 (define @t3388 () (@list @t88 @t25 @t3365 @t8 @t49)) % 53.50/53.72 (define @t3389 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t49 @t8)) % 53.50/53.72 (define @t3390 () (tptp.hAPP @t3389 @t25)) % 53.50/53.72 (define @t3391 () (tptp.c_COMBB @t50 @t8 @t1685)) % 53.50/53.72 (define @t3392 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1685 @t8) @t88)) % 53.50/53.72 (define @t3393 () (tptp.c_COMBB @t2751 @t8 @t49)) % 53.50/53.72 (define @t3394 () (@list @t2 @t88 @t1685 @t25 @t49 @t8)) % 53.50/53.72 (define @t3395 () (tptp.hAPP @t2748 @t48)) % 53.50/53.72 (define @t3396 () (@list @t48 @t2 @t25 @t1685 @t49 @t8)) % 53.50/53.72 (define @t3397 () (tptp.tc_fun @t49 @t29)) % 53.50/53.72 (define @t3398 () (tptp.c_COMBC @t80 @t3397 @t29)) % 53.50/53.72 (define @t3399 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t80 @t29) @t25) (tptp.hAPP (tptp.hAPP @t3398 @t3348) @t88))) % 53.50/53.72 (define @t3400 () (tptp.c_Complete__Lattice_OSup__class_OSup @t80 @t25)) % 53.50/53.72 (define @t3401 () (tptp.hAPP (tptp.hAPP @t3348 @t3400) @t88)) % 53.50/53.72 (define @t3402 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 @t1048 @t49) @t2584) @t88)) % 53.50/53.72 (define @t3403 () (tptp.c_COMBB @t29 @t29 @t49)) % 53.50/53.72 (define @t3404 () (tptp.hAPP @t3348 @t171)) % 53.50/53.72 (define @t3405 () (tptp.hAPP @t3404 (tptp.hAPP (tptp.hAPP @t3403 @t27) @t88))) % 53.50/53.72 (define @t3406 () (tptp.hAPP @t3404 @t88)) % 53.50/53.72 (define @t3407 () (tptp.hAPP @t27 @t3406)) % 53.50/53.72 (define @t3408 () (tptp.hBOOL (tptp.hAPP @t76 @t3376))) % 53.50/53.72 (define @t3409 () (@list @t88 @t25 @t49 @t33 @t8)) % 53.50/53.72 (define @t3410 () (tptp.hAPP @t130 @t3406)) % 53.50/53.72 (define @t3411 () (tptp.hAPP @t3404 (tptp.hAPP (tptp.hAPP @t3403 @t130) @t88))) % 53.50/53.72 (define @t3412 () (@list @t88 @t25 @t171 @t8 @t49)) % 53.50/53.72 (define @t3413 () (tptp.hAPP (tptp.hAPP @t83 (tptp.hAPP @t3404 @t25)) @t88)) % 53.50/53.72 (define @t3414 () (tptp.hAPP (tptp.hAPP @t3384 @t83) @t25)) % 53.50/53.72 (define @t3415 () (tptp.c_COMBC @t49 @t29 @t29)) % 53.50/53.72 (define @t3416 () (tptp.hAPP @t3404 (tptp.hAPP (tptp.hAPP @t3415 @t3414) @t88))) % 53.50/53.72 (define @t3417 () (@list @t88 @t171 @t49 @t25 @t8)) % 53.50/53.72 (define @t3418 () (@list @t88 @t25 @t171 @t49 @t8)) % 53.50/53.72 (define @t3419 () (tptp.c_COMBB @t29 @t29 @t1685)) % 53.50/53.72 (define @t3420 () (tptp.tc_fun @t1685 @t29)) % 53.50/53.72 (define @t3421 () (tptp.hAPP (tptp.c_COMBB @t2844 (tptp.tc_fun @t3420 @t3420) @t49) @t3419)) % 53.50/53.72 (define @t3422 () (tptp.c_COMBC @t49 @t3420 @t3420)) % 53.50/53.72 (define @t3423 () (@var "V_J_2" $$unsorted)) % 53.50/53.72 (define @t3424 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1685 @t29)) % 53.50/53.72 (define @t3425 () (tptp.hAPP @t3424 @t3423)) % 53.50/53.72 (define @t3426 () (tptp.c_COMBB @t3420 @t29 @t49)) % 53.50/53.72 (define @t3427 () (@list @t88 @t3423 @t1685 @t25 @t3365 @t49 @t8)) % 53.50/53.72 (define @t3428 () (tptp.tc_fun @t3081 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t3429 () (tptp.hAPP (tptp.hAPP @t3069 @t48) @t57)) % 53.50/53.72 (define @t3430 () (tptp.c_member @t3081)) % 53.50/53.72 (define @t3431 () (tptp.hAPP @t3430 @t3429)) % 53.50/53.72 (define @t3432 () (tptp.tc_fun @t3428 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t3433 () (tptp.tc_fun @t1685 @t3432)) % 53.50/53.72 (define @t3434 () (tptp.tc_fun @t1685 @t3081)) % 53.50/53.72 (define @t3435 () (tptp.hAPP (tptp.c_COMBC @t49 @t3428 @t2750) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3433 (tptp.tc_fun @t3428 @t2750) @t49) (tptp.c_COMBC @t1685 @t3428 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3434 @t3433 @t49) (tptp.hAPP (tptp.c_COMBB @t3081 @t3432 @t1685) @t3430)) @t3069)))) % 53.50/53.72 (define @t3436 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3428 @t3361 @t8) @t3435) @t2067)) % 53.50/53.72 (define @t3437 () (@list @t57 @t48 @t2067 @t1685 @t49 @t8)) % 53.50/53.72 (define @t3438 () (tptp.hAPP @t1788 @t3)) % 53.50/53.72 (define @t3439 () (tptp.hAPP @t160 @t1024)) % 53.50/53.72 (define @t3440 () (tptp.hAPP @t337 @t13)) % 53.50/53.72 (define @t3441 () (tptp.c_COMBB @t80 @t80 @t8)) % 53.50/53.72 (define @t3442 () (tptp.hAPP (tptp.hAPP @t3441 @t3440) @t88)) % 53.50/53.72 (define @t3443 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1024) @t25))) % 53.50/53.72 (define @t3444 () (@list @t88 @t13 @t49 @t25 @t1024 @t8)) % 53.50/53.72 (define @t3445 () (@list @t88 @t49 @t25 @t13 @t8)) % 53.50/53.72 (define @t3446 () (tptp.hAPP @t3355 @t2651)) % 53.50/53.72 (define @t3447 () (tptp.hAPP (tptp.c_COMBC @t49 @t80 tptp.tc_HOL_Obool) @t343)) % 53.50/53.72 (define @t3448 () (tptp.hAPP (tptp.hAPP @t3441 @t3447) @t2067)) % 53.50/53.72 (define @t3449 () (@list @t48 @t2067 @t49 @t8)) % 53.50/53.72 (define @t3450 () (tptp.hAPP @t25 @t676)) % 53.50/53.72 (define @t3451 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t676) @t3365))) % 53.50/53.72 (define @t3452 () (@list @t25 @t49 @t3365 @t676 @t8)) % 53.50/53.72 (define @t3453 () (tptp.hAPP @t2829 @t1788)) % 53.50/53.72 (define @t3454 () (@list @t1788 @t8 @t25 @t49)) % 53.50/53.72 (define @t3455 () (tptp.c_COMBK @t80 @t8)) % 53.50/53.72 (define @t3456 () (tptp.hAPP @t3455 @t32)) % 53.50/53.72 (define @t3457 () (tptp.hAPP @t3356 @t3456)) % 53.50/53.72 (define @t3458 () (@list @t32 @t49 @t8 @t25)) % 53.50/53.72 (define @t3459 () (tptp.tc_fun @t80 @t80)) % 53.50/53.72 (define @t3460 () (tptp.c_COMBB @t80 @t3459 @t8)) % 53.50/53.72 (define @t3461 () (tptp.hAPP (tptp.hAPP @t3460 @t628) @t25)) % 53.50/53.72 (define @t3462 () (tptp.c_COMBC @t8 @t80 @t80)) % 53.50/53.72 (define @t3463 () (tptp.hAPP @t3355 @t171)) % 53.50/53.72 (define @t3464 () (tptp.hAPP @t3463 (tptp.hAPP (tptp.hAPP @t3462 @t3461) @t88))) % 53.50/53.72 (define @t3465 () (tptp.hAPP @t3463 @t25)) % 53.50/53.72 (define @t3466 () (tptp.hAPP (tptp.hAPP @t628 @t3465) @t88)) % 53.50/53.72 (define @t3467 () (= @t171 @t30)) % 53.50/53.72 (define @t3468 () (not @t3467)) % 53.50/53.72 (define @t3469 () (@list @t88 @t25 @t49 @t8 @t171)) % 53.50/53.72 (define @t3470 () (tptp.hAPP @t3463 (tptp.hAPP (tptp.hAPP @t3441 @t629) @t88))) % 53.50/53.72 (define @t3471 () (tptp.hAPP @t629 (tptp.hAPP @t3463 @t88))) % 53.50/53.72 (define @t3472 () (tptp.hAPP @t3440 @t25)) % 53.50/53.72 (define @t3473 () (@list @t88 @t25 @t13 @t8 @t49)) % 53.50/53.72 (define @t3474 () (@list @t1788 @t88 @t25 @t8 @t49)) % 53.50/53.72 (define @t3475 () (not @t325)) % 53.50/53.72 (define @t3476 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t33)) % 53.50/53.72 (define @t3477 () (= @t3476 @t30)) % 53.50/53.72 (define @t3478 () (tptp.hBOOL (tptp.hAPP @t1267 @t35))) % 53.50/53.72 (define @t3479 () (tptp.hBOOL (tptp.hAPP @t322 @t13))) % 53.50/53.72 (define @t3480 () (and @t3479 @t3478)) % 53.50/53.72 (define @t3481 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t32 @t35)) % 53.50/53.72 (define @t3482 () (and @t44 @t34)) % 53.50/53.72 (define @t3483 () (tptp.hAPP @t3199 (tptp.hAPP @t3333 tptp.c_Nat_OSuc))) % 53.50/53.72 (define @t3484 () (@list @t672 @t673 @t2 @t8)) % 53.50/53.72 (define @t3485 () (tptp.hAPP @t3332 @t676)) % 53.50/53.72 (define @t3486 () (tptp.hAPP @t3199 (tptp.hAPP @t3333 @t3485))) % 53.50/53.72 (define @t3487 () (@list @t672 @t676 @t673 @t2 @t8)) % 53.50/53.72 (define @t3488 () (tptp.hAPP (tptp.hAPP @t3460 @t339) @t25)) % 53.50/53.72 (define @t3489 () (tptp.hAPP @t3463 (tptp.hAPP (tptp.hAPP @t3462 @t3488) @t88))) % 53.50/53.72 (define @t3490 () (tptp.hAPP (tptp.hAPP @t339 @t3465) @t88)) % 53.50/53.72 (define @t3491 () (tptp.hAPP tptp.c_Nat_OSuc @t1024)) % 53.50/53.72 (define @t3492 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t673 @t692)) % 53.50/53.72 (define @t3493 () (tptp.hAPP @t1788 @t972)) % 53.50/53.72 (define @t3494 () (tptp.hBOOL (tptp.hAPP @t3197 @t25))) % 53.50/53.72 (define @t3495 () (@list @t1788 @t25 @t972 @t8 @t49)) % 53.50/53.72 (define @t3496 () (tptp.hAPP @t3215 @t2)) % 53.50/53.72 (define @t3497 () (tptp.hAPP @t1920 @t35)) % 53.50/53.72 (define @t3498 () (tptp.hAPP @t3283 @t32)) % 53.50/53.72 (define @t3499 () (tptp.hAPP @t486 @t3476)) % 53.50/53.72 (define @t3500 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t1695 @t1024)) % 53.50/53.72 (define @t3501 () (tptp.hAPP @t3190 @t1695)) % 53.50/53.72 (define @t3502 () (tptp.hAPP @t486 @t3501)) % 53.50/53.72 (define @t3503 () (@list @t1024 @t1695 @t8)) % 53.50/53.72 (define @t3504 () (tptp.hAPP @t844 @t2684)) % 53.50/53.72 (define @t3505 () (tptp.hAPP @t3200 @t3331)) % 53.50/53.72 (define @t3506 () (tptp.hAPP @t2 @t692)) % 53.50/53.72 (define @t3507 () (tptp.hAPP @t844 @t3505)) % 53.50/53.72 (define @t3508 () (tptp.hAPP @t3200 @t3492)) % 53.50/53.72 (define @t3509 () (tptp.hBOOL (tptp.hAPP @t2876 @t673))) % 53.50/53.72 (define @t3510 () (@list @t2 @t673 @t672 @t8)) % 53.50/53.72 (define @t3511 () (tptp.hAPP @t819 @t2671)) % 53.50/53.72 (define @t3512 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1157 @t672)) % 53.50/53.72 (define @t3513 () (tptp.hBOOL (tptp.hAPP @t3206 @t3512))) % 53.50/53.72 (define @t3514 () (tptp.hBOOL (tptp.hAPP @t178 @t1324))) % 53.50/53.72 (define @t3515 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t1324) @t672))) % 53.50/53.72 (define @t3516 () (@list @t178 @t672)) % 53.50/53.72 (define @t3517 () (tptp.hBOOL (tptp.hAPP @t3327 tptp.c_FunDef_Opair__leq))) % 53.50/53.72 (define @t3518 () (@var "V_Y_2" $$unsorted)) % 53.50/53.72 (define @t3519 () (tptp.c_Set_Oinsert @t3113)) % 53.50/53.72 (define @t3520 () (tptp.hAPP @t3519 @t48)) % 53.50/53.72 (define @t3521 () (tptp.tc_fun @t3113 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t3522 () (tptp.c_Product__Type_OPair @t3521 @t3521)) % 53.50/53.72 (define @t3523 () (tptp.tc_prod @t3521 @t3521)) % 53.50/53.72 (define @t3524 () (tptp.c_member @t3523)) % 53.50/53.72 (define @t3525 () (tptp.hAPP @t3522 @t461)) % 53.50/53.72 (define @t3526 () (tptp.hAPP @t3326 (tptp.hAPP (tptp.hAPP @t3324 @t48) @t57))) % 53.50/53.72 (define @t3527 () (tptp.hBOOL (tptp.hAPP @t3526 tptp.c_FunDef_Opair__less))) % 53.50/53.72 (define @t3528 () (tptp.c_member @t3113)) % 53.50/53.72 (define @t3529 () (tptp.hAPP @t3528 @t57)) % 53.50/53.72 (define @t3530 () (tptp.hAPP @t3376 @t33)) % 53.50/53.72 (define @t3531 () (tptp.hBOOL @t3530)) % 53.50/53.72 (define @t3532 () (@list @t33 @t88 @t25 @t49 @t8)) % 53.50/53.72 (define @t3533 () (tptp.hBOOL (tptp.hAPP @t3530 @t32))) % 53.50/53.72 (define @t3534 () (forall @t7 (=> @t183 @t3533))) % 53.50/53.72 (define @t3535 () (@list @t32 @t33 @t88 @t25 @t1685 @t49 @t8)) % 53.50/53.72 (define @t3536 () (tptp.c_Orderings_Obot__class_Obot @t3521)) % 53.50/53.72 (define @t3537 () (tptp.hAPP @t3522 @t3536)) % 53.50/53.72 (define @t3538 () (tptp.c_Finite__Set_Ofinite @t3113)) % 53.50/53.72 (define @t3539 () (tptp.hAPP (tptp.hAPP @t1617 @t972) @t1708)) % 53.50/53.72 (define @t3540 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t972 @t971)) % 53.50/53.72 (define @t3541 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t971) @t972))) % 53.50/53.72 (define @t3542 () (tptp.c_Orderings_Obot__class_Obot @t2996)) % 53.50/53.72 (define @t3543 () (tptp.hAPP @t1632 @t1024)) % 53.50/53.72 (define @t3544 () (tptp.hAPP @t3543 @t1695)) % 53.50/53.72 (define @t3545 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1695 @t1024)) % 53.50/53.72 (define @t3546 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 53.50/53.72 (define @t3547 () (@var "V_YS_2" $$unsorted)) % 53.50/53.72 (define @t3548 () (tptp.hAPP @t3519 @t57)) % 53.50/53.72 (define @t3549 () (@var "V_XS_2" $$unsorted)) % 53.50/53.72 (define @t3550 () (tptp.hAPP @t3522 @t3549)) % 53.50/53.72 (define @t3551 () (tptp.hAPP @t3524 (tptp.hAPP @t3550 (tptp.hAPP @t3548 @t3547)))) % 53.50/53.72 (define @t3552 () (tptp.hAPP @t3524 (tptp.hAPP @t3550 @t3547))) % 53.50/53.72 (define @t3553 () (tptp.hBOOL (tptp.hAPP @t3526 tptp.c_FunDef_Opair__leq))) % 53.50/53.72 (define @t3554 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3528 @t48) @t3549))) % 53.50/53.72 (define @t3555 () (@list @t3547 @t57 @t3549 @t48)) % 53.50/53.72 (define @t3556 () (tptp.hAPP @t1985 @t227)) % 53.50/53.72 (define @t3557 () (tptp.hAPP @t1599 @t20)) % 53.50/53.72 (define @t3558 () (tptp.hBOOL (tptp.hAPP @t3557 @t3))) % 53.50/53.72 (define @t3559 () (@var "B_xb" $$unsorted)) % 53.50/53.72 (define @t3560 () (tptp.c_member tptp.tc_Int_Oint)) % 53.50/53.72 (define @t3561 () (tptp.hAPP @t3560 @t3559)) % 53.50/53.72 (define @t3562 () (@list @t3559)) % 53.50/53.72 (define @t3563 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1708 @t227)) % 53.50/53.72 (define @t3564 () (tptp.hAPP @t3560 @t567)) % 53.50/53.72 (define @t3565 () (tptp.hBOOL (tptp.hAPP @t3564 @t3563))) % 53.50/53.72 (define @t3566 () (forall @t571 (=> @t3565 (forall @t3562 (=> (tptp.hBOOL (tptp.hAPP @t3561 @t25)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t1632 @t3559) @t567)))))))) % 53.50/53.72 (define @t3567 () (tptp.hBOOL (tptp.hAPP @t1712 @t227))) % 53.50/53.72 (define @t3568 () (@list @t20 @t25 @t227)) % 53.50/53.72 (define @t3569 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 53.50/53.72 (define @t3570 () (@list @t461)) % 53.50/53.72 (define @t3571 () (tptp.hAPP @t3524 (tptp.hAPP @t3525 @t3536))) % 53.50/53.72 (define @t3572 () (tptp.tc_fun @t3523 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t3573 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3523) (tptp.hAPP @t3537 @t3536)) (tptp.c_Orderings_Obot__class_Obot @t3572))) % 53.50/53.72 (define @t3574 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3572)) % 53.50/53.72 (define @t3575 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t3) @t20))) % 53.50/53.72 (define @t3576 () (tptp.hAPP @t1617 @t20)) % 53.50/53.72 (define @t3577 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3560 (tptp.hAPP @t3576 @t1708)) @t25))) % 53.50/53.72 (define @t3578 () (@list @t25 @t20 @t227)) % 53.50/53.72 (define @t3579 () (tptp.hAPP @t1979 @t227)) % 53.50/53.72 (define @t3580 () (forall @t571 (=> @t3565 (forall @t3562 (=> (tptp.hBOOL (tptp.hAPP @t3561 @t88)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t1617 @t3559) @t567)))))))) % 53.50/53.72 (define @t3581 () (tptp.hAPP @t1632 @t20)) % 53.50/53.72 (define @t3582 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3560 (tptp.hAPP @t3581 @t1708)) @t88))) % 53.50/53.72 (define @t3583 () (@list @t88 @t20 @t227)) % 53.50/53.72 (define @t3584 () (tptp.c_Wellfounded_Omax__ext @t8 @t2733)) % 53.50/53.72 (define @t3585 () (@var "V_xa_2" $$unsorted)) % 53.50/53.72 (define @t3586 () (tptp.tc_fun @t2945 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t3587 () (tptp.hAPP (tptp.c_COMBB @t2944 @t3586 @t8) @t2963)) % 53.50/53.72 (define @t3588 () (tptp.tc_fun @t8 @t3586)) % 53.50/53.72 (define @t3589 () (tptp.tc_fun @t8 @t2944)) % 53.50/53.72 (define @t3590 () (tptp.c_COMBC @t8 @t2945 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t3591 () (tptp.hAPP (tptp.c_COMBC @t8 @t2945 @t29) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3588 (tptp.tc_fun @t2945 @t29) @t8) @t3590) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3589 @t3588 @t8) @t3587) @t2960)))) % 53.50/53.72 (define @t3592 () (not (= @t3 @t20))) % 53.50/53.72 (define @t3593 () (tptp.hAPP @t3560 @t20)) % 53.50/53.72 (define @t3594 () (tptp.hBOOL (tptp.hAPP @t3593 @t25))) % 53.50/53.72 (define @t3595 () (tptp.hBOOL (tptp.hAPP @t3593 @t88))) % 53.50/53.72 (define @t3596 () (tptp.hAPP @t1604 @t20)) % 53.50/53.72 (define @t3597 () (tptp.hBOOL (tptp.hAPP @t3596 @t3))) % 53.50/53.72 (define @t3598 () (tptp.hAPP @t3560 @t3)) % 53.50/53.72 (define @t3599 () (tptp.hBOOL (tptp.hAPP @t3598 @t3563))) % 53.50/53.72 (define @t3600 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t3) @t20))) % 53.50/53.72 (define @t3601 () (@list @t20 @t88 @t227)) % 53.50/53.72 (define @t3602 () (@list @t3 @t939)) % 53.50/53.72 (define @t3603 () (tptp.hAPP (tptp.hAPP @t1617 @t1695) @t1708)) % 53.50/53.72 (define @t3604 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1695 @t1024)) % 53.50/53.72 (define @t3605 () (tptp.hAPP @t160 @t1695)) % 53.50/53.72 (define @t3606 () (tptp.hBOOL (tptp.hAPP @t3605 @t676))) % 53.50/53.72 (define @t3607 () (@list @t676 @t1695 @t8)) % 53.50/53.72 (define @t3608 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t673 @t1024)) % 53.50/53.72 (define @t3609 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t1695 @t673)) % 53.50/53.72 (define @t3610 () (tptp.hAPP @t486 @t3609)) % 53.50/53.72 (define @t3611 () (@list @t1024 @t673 @t1695 @t8)) % 53.50/53.72 (define @t3612 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t673 @t1024)) % 53.50/53.72 (define @t3613 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t1695 @t673)) % 53.50/53.72 (define @t3614 () (tptp.hAPP @t486 @t3613)) % 53.50/53.72 (define @t3615 () (tptp.c_Product__Type_OPair @t3572 @t3572)) % 53.50/53.72 (define @t3616 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t1695 @t1024)) % 53.50/53.72 (define @t3617 () (tptp.hAPP @t83 @t3613)) % 53.50/53.72 (define @t3618 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t673) @t1024))) % 53.50/53.72 (define @t3619 () (tptp.hAPP @t368 @t1695)) % 53.50/53.72 (define @t3620 () (tptp.hBOOL (tptp.hAPP @t3619 @t673))) % 53.50/53.72 (define @t3621 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t1695 @t1024)) % 53.50/53.72 (define @t3622 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t1695 @t1024)) % 53.50/53.72 (define @t3623 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1695 @t1024)) % 53.50/53.72 (define @t3624 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t676 @t1695)) % 53.50/53.72 (define @t3625 () (= @t3624 @t30)) % 53.50/53.72 (define @t3626 () (tptp.hAPP @t368 @t676)) % 53.50/53.72 (define @t3627 () (not (tptp.hBOOL (tptp.hAPP @t3626 @t1695)))) % 53.50/53.72 (define @t3628 () (@list @t1695 @t676 @t8)) % 53.50/53.72 (define @t3629 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t673 @t1024)) % 53.50/53.72 (define @t3630 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t1695 @t673)) % 53.50/53.72 (define @t3631 () (tptp.hAPP @t83 @t3630)) % 53.50/53.72 (define @t3632 () (tptp.hBOOL (tptp.hAPP @t3605 @t673))) % 53.50/53.72 (define @t3633 () (tptp.hAPP @t486 @t3630)) % 53.50/53.72 (define @t3634 () (tptp.hAPP tptp.c_Nat_OSuc @t1695)) % 53.50/53.72 (define @t3635 () (tptp.hAPP @t541 @t1024)) % 53.50/53.72 (define @t3636 () (tptp.hAPP @t3635 @t1695)) % 53.50/53.72 (define @t3637 () (tptp.hAPP @t83 @t3609)) % 53.50/53.72 (define @t3638 () (tptp.hAPP tptp.c_Int_Onat @t3544)) % 53.50/53.72 (define @t3639 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t1695 @t1024)) % 53.50/53.72 (define @t3640 () (tptp.hBOOL (tptp.hAPP @t3203 @t1024))) % 53.50/53.72 (define @t3641 () (tptp.hAPP @t3199 @t178)) % 53.50/53.72 (define @t3642 () (tptp.hAPP @t83 (tptp.hAPP (tptp.hAPP @t26 @t1695) @t30))) % 53.50/53.72 (define @t3643 () (tptp.hBOOL (tptp.hAPP @t3605 @t1024))) % 53.50/53.72 (define @t3644 () (tptp.hAPP (tptp.hAPP @t26 @t1024) @t30)) % 53.50/53.72 (define @t3645 () (tptp.hAPP @t83 @t3639)) % 53.50/53.72 (define @t3646 () (tptp.hBOOL (tptp.hAPP @t3619 @t1024))) % 53.50/53.72 (define @t3647 () (tptp.tc_prod tptp.tc_Nat_Onat @t8)) % 53.50/53.72 (define @t3648 () (tptp.hAPP (tptp.hAPP @t796 @t1024) @t57)) % 53.50/53.72 (define @t3649 () (tptp.hAPP @t796 @t48)) % 53.50/53.72 (define @t3650 () (tptp.hAPP @t3649 @t1088)) % 53.50/53.72 (define @t3651 () (tptp.hAPP (tptp.hAPP @t2986 @t1024) @t1088)) % 53.50/53.72 (define @t3652 () (@list @t1088 @t1024 @t57 @t48)) % 53.50/53.72 (define @t3653 () (tptp.c_FunDef_Orp__inv__image @t8 @t49)) % 53.50/53.72 (define @t3654 () (tptp.c_FunDef_Oreduction__pair @t8 @t178)) % 53.50/53.72 (define @t3655 () (@list @t2 @t49 @t178 @t8)) % 53.50/53.72 (define @t3656 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t49)) % 53.50/53.72 (define @t3657 () (tptp.c_Finite__Set_Ofold @t8 @t49 (tptp.hAPP (tptp.hAPP @t2791 @t3656) @t2))) % 53.50/53.72 (define @t3658 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t49)) % 53.50/53.72 (define @t3659 () (tptp.hAPP @t3658 @t25)) % 53.50/53.72 (define @t3660 () (tptp.hAPP @t3659 @t2)) % 53.50/53.72 (define @t3661 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t80)) % 53.50/53.72 (define @t3662 () (tptp.hAPP @t3661 @t25)) % 53.50/53.72 (define @t3663 () (tptp.hAPP @t3662 @t88)) % 53.50/53.72 (define @t3664 () (tptp.hAPP @t343 @t33)) % 53.50/53.72 (define @t3665 () (tptp.hBOOL (tptp.hAPP @t3664 @t3344))) % 53.50/53.72 (define @t3666 () (@list @t88 @t33 @t49 @t25 @t13 @t8)) % 53.50/53.72 (define @t3667 () (tptp.hBOOL (tptp.hAPP @t3663 @t33))) % 53.50/53.72 (define @t3668 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t3361)) % 53.50/53.72 (define @t3669 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3668 @t25) @t88) @t33) @t32))) % 53.50/53.72 (define @t3670 () (forall @t7 (=> @t3377 (= @t3376 @t30)))) % 53.50/53.72 (define @t3671 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t49 @t29)) % 53.50/53.72 (define @t3672 () (tptp.hAPP @t3671 @t25)) % 53.50/53.72 (define @t3673 () (tptp.hAPP @t3672 @t88)) % 53.50/53.72 (define @t3674 () (tptp.hAPP @t3662 @t3456)) % 53.50/53.72 (define @t3675 () (tptp.c_COMBK @t29 @t49)) % 53.50/53.72 (define @t3676 () (forall @t7 (=> @t183 (tptp.hBOOL (tptp.hAPP @t346 @t3376))))) % 53.50/53.72 (define @t3677 () (tptp.hBOOL (tptp.hAPP @t346 @t3663))) % 53.50/53.72 (define @t3678 () (tptp.hAPP @t3671 @t88)) % 53.50/53.72 (define @t3679 () (tptp.hAPP @t3671 @t3365)) % 53.50/53.72 (define @t3680 () (tptp.hAPP @t3679 @t25)) % 53.50/53.72 (define @t3681 () (tptp.hAPP (tptp.hAPP @t3386 @t3414) @t88)) % 53.50/53.72 (define @t3682 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t49 @t2750)) % 53.50/53.72 (define @t3683 () (tptp.hAPP (tptp.hAPP @t3682 @t25) @t88)) % 53.50/53.72 (define @t3684 () (tptp.c_COMBB @t2750 (tptp.tc_fun @t3420 @t29) @t49)) % 53.50/53.72 (define @t3685 () (tptp.c_COMBC @t49 @t3420 @t29)) % 53.50/53.72 (define @t3686 () (@list @t171 @t88 @t1685 @t25 @t8 @t49)) % 53.50/53.72 (define @t3687 () (tptp.c_COMBB @t80 (tptp.tc_fun @t3397 @t29) @t1685)) % 53.50/53.72 (define @t3688 () (tptp.c_COMBC @t1685 @t3397 @t29)) % 53.50/53.72 (define @t3689 () (tptp.hAPP @t3424 @t25)) % 53.50/53.72 (define @t3690 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1685 @t80) @t25) @t88)) % 53.50/53.72 (define @t3691 () (@list @t171 @t88 @t25 @t1685 @t8 @t49)) % 53.50/53.72 (define @t3692 () (tptp.hAPP @t3671 @t171)) % 53.50/53.72 (define @t3693 () (tptp.hAPP @t3692 (tptp.hAPP (tptp.hAPP @t3415 (tptp.hAPP (tptp.hAPP @t3384 @t84) @t25)) @t88))) % 53.50/53.72 (define @t3694 () (tptp.hAPP @t3692 @t25)) % 53.50/53.72 (define @t3695 () (tptp.hAPP (tptp.hAPP @t84 @t3694) @t88)) % 53.50/53.72 (define @t3696 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t49 @t8)) % 53.50/53.72 (define @t3697 () (tptp.hAPP @t3696 @t25)) % 53.50/53.72 (define @t3698 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1685 @t8) @t88)) % 53.50/53.72 (define @t3699 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t80 @t29)) % 53.50/53.72 (define @t3700 () (tptp.hAPP @t3699 @t25)) % 53.50/53.72 (define @t3701 () (tptp.hAPP @t3700 (tptp.hAPP (tptp.hAPP @t3398 @t3671) @t88))) % 53.50/53.72 (define @t3702 () (tptp.hAPP (tptp.hAPP @t3671 @t3400) @t88)) % 53.50/53.72 (define @t3703 () (tptp.hAPP @t487 (tptp.hAPP @t3692 @t88))) % 53.50/53.72 (define @t3704 () (tptp.hAPP @t3692 (tptp.hAPP (tptp.hAPP @t3403 @t487) @t88))) % 53.50/53.72 (define @t3705 () (tptp.hAPP (tptp.hAPP @t486 @t3694) @t88)) % 53.50/53.72 (define @t3706 () (tptp.hAPP @t3692 (tptp.hAPP (tptp.hAPP @t3415 @t3385) @t88))) % 53.50/53.72 (define @t3707 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1685 @t29)) % 53.50/53.72 (define @t3708 () (tptp.hAPP @t3707 @t3423)) % 53.50/53.72 (define @t3709 () (@list @t88 @t25 @t3365 @t49 @t8)) % 53.50/53.72 (define @t3710 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t29)) % 53.50/53.72 (define @t3711 () (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t1067)) % 53.50/53.72 (define @t3712 () (tptp.hAPP @t3661 @t2651)) % 53.50/53.72 (define @t3713 () (tptp.hAPP (tptp.hAPP @t3661 @t3365) @t25)) % 53.50/53.72 (define @t3714 () (tptp.hAPP @t3661 @t171)) % 53.50/53.72 (define @t3715 () (tptp.hAPP @t3714 @t88)) % 53.50/53.72 (define @t3716 () (tptp.hAPP @t3440 @t3715)) % 53.50/53.72 (define @t3717 () (tptp.hAPP @t3714 @t3442)) % 53.50/53.72 (define @t3718 () (@list @t88 @t13 @t49 @t8 @t171)) % 53.50/53.72 (define @t3719 () (tptp.hAPP @t3440 @t81)) % 53.50/53.72 (define @t3720 () (tptp.hAPP @t491 @t3715)) % 53.50/53.72 (define @t3721 () (tptp.hAPP @t3714 (tptp.hAPP (tptp.hAPP @t3441 @t491) @t88))) % 53.50/53.72 (define @t3722 () (tptp.hAPP (tptp.hAPP @t490 (tptp.hAPP @t3714 @t25)) @t88)) % 53.50/53.72 (define @t3723 () (tptp.hAPP (tptp.hAPP @t3460 @t490) @t25)) % 53.50/53.72 (define @t3724 () (tptp.hAPP @t3714 (tptp.hAPP (tptp.hAPP @t3462 @t3723) @t88))) % 53.50/53.72 (define @t3725 () (tptp.hAPP @t85 @t3406)) % 53.50/53.72 (define @t3726 () (tptp.hAPP @t3692 (tptp.hAPP (tptp.hAPP @t3403 @t85) @t88))) % 53.50/53.72 (define @t3727 () (tptp.hAPP @t3710 @t88)) % 53.50/53.72 (define @t3728 () (tptp.hAPP (tptp.hAPP @t3403 @t2197) @t88)) % 53.50/53.72 (define @t3729 () (tptp.c_Relation_Oinv__image @t8 @t49)) % 53.50/53.72 (define @t3730 () (tptp.tc_fun @t3230 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t3731 () (tptp.tc_prod @t3730 @t3730)) % 53.50/53.72 (define @t3732 () (tptp.tc_fun @t3730 @t3731)) % 53.50/53.72 (define @t3733 () (tptp.tc_fun @t50 @t3732)) % 53.50/53.72 (define @t3734 () (tptp.tc_fun @t50 @t3730)) % 53.50/53.72 (define @t3735 () (tptp.tc_fun @t50 @t3731)) % 53.50/53.72 (define @t3736 () (tptp.tc_fun @t3734 @t3735)) % 53.50/53.72 (define @t3737 () (tptp.tc_fun @t2945 @t3735)) % 53.50/53.72 (define @t3738 () (tptp.tc_fun @t2945 @t3734)) % 53.50/53.72 (define @t3739 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t2858) @t3220)) % 53.50/53.72 (define @t3740 () (tptp.hAPP @t3463 (tptp.hAPP (tptp.hAPP @t3441 @t340) @t88))) % 53.50/53.72 (define @t3741 () (tptp.hAPP @t340 @t3715)) % 53.50/53.72 (define @t3742 () (tptp.c_Relation_Oinv__image @t49 @t8)) % 53.50/53.72 (define @t3743 () (tptp.hAPP (tptp.hAPP @t3742 @t2067) @t2)) % 53.50/53.72 (define @t3744 () (tptp.tc_fun @t2858 @t2858)) % 53.50/53.72 (define @t3745 () (tptp.tc_fun tptp.tc_Nat_Onat @t3744)) % 53.50/53.72 (define @t3746 () (tptp.tc_fun tptp.tc_Nat_Onat @t2858)) % 53.50/53.72 (define @t3747 () (tptp.hAPP tptp.c_Int_ORep__Integ @t79)) % 53.50/53.72 (define @t3748 () (tptp.hAPP @t3190 @t1024)) % 53.50/53.72 (define @t3749 () (tptp.c_SetInterval_Oord__class_OatMost @t8)) % 53.50/53.72 (define @t3750 () (tptp.hAPP @t3749 @t1695)) % 53.50/53.72 (define @t3751 () (tptp.hAPP @t83 @t3750)) % 53.50/53.72 (define @t3752 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1157)) % 53.50/53.72 (define @t3753 () (tptp.hAPP @t3752 @t672)) % 53.50/53.72 (define @t3754 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3755 () (tptp.hAPP @t3754 @t676)) % 53.50/53.72 (define @t3756 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1695)) % 53.50/53.72 (define @t3757 () (tptp.hAPP @t3756 @t1024)) % 53.50/53.72 (define @t3758 () (tptp.hAPP @t3707 @t25)) % 53.50/53.72 (define @t3759 () (tptp.hAPP tptp.c_Int_ORep__Integ @t48)) % 53.50/53.72 (define @t3760 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t32) @t35)) % 53.50/53.72 (define @t3761 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t13) @t33)) % 53.50/53.72 (define @t3762 () (= @t3761 @t3760)) % 53.50/53.72 (define @t3763 () (tptp.hAPP @t3749 @t57)) % 53.50/53.72 (define @t3764 () (tptp.hAPP @t3749 @t48)) % 53.50/53.72 (define @t3765 () (tptp.hBOOL (tptp.hAPP @t3206 @t3753))) % 53.50/53.72 (define @t3766 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t1324) @t672))) % 53.50/53.72 (define @t3767 () (tptp.hAPP @t796 @t971)) % 53.50/53.72 (define @t3768 () (tptp.hAPP @t3767 @t676)) % 53.50/53.72 (define @t3769 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t972)) % 53.50/53.72 (define @t3770 () (tptp.hAPP @t3769 @t971)) % 53.50/53.72 (define @t3771 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2858)) % 53.50/53.72 (define @t3772 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t673)) % 53.50/53.72 (define @t3773 () (tptp.hAPP @t3188 @t25)) % 53.50/53.72 (define @t3774 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t676) (tptp.hAPP @t824 @t3773))) % 53.50/53.72 (define @t3775 () (tptp.c_Orderings_Oord__class_Oless__eq @t2858)) % 53.50/53.72 (define @t3776 () (tptp.hAPP @t3775 @t25)) % 53.50/53.72 (define @t3777 () (= @t3761 @t30)) % 53.50/53.72 (define @t3778 () (not @t404)) % 53.50/53.72 (define @t3779 () (tptp.hAPP @t3772 @t672)) % 53.50/53.72 (define @t3780 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t769)) % 53.50/53.72 (define @t3781 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t1695)) % 53.50/53.72 (define @t3782 () (tptp.hAPP @t3781 @t1024)) % 53.50/53.72 (define @t3783 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t673) @t1024)) % 53.50/53.72 (define @t3784 () (tptp.hAPP @t3781 @t673)) % 53.50/53.72 (define @t3785 () (tptp.hAPP @t83 @t3784)) % 53.50/53.72 (define @t3786 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t972)) % 53.50/53.72 (define @t3787 () (tptp.hAPP @t160 @t972)) % 53.50/53.72 (define @t3788 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t29)) % 53.50/53.72 (define @t3789 () (tptp.hAPP @t3788 @t3220)) % 53.50/53.72 (define @t3790 () (tptp.hAPP @t3789 @t25)) % 53.50/53.72 (define @t3791 () (tptp.tc_fun tptp.tc_Nat_Onat @t29)) % 53.50/53.72 (define @t3792 () (tptp.hAPP @t486 @t3784)) % 53.50/53.72 (define @t3793 () (tptp.hAPP @t3754 @t672)) % 53.50/53.72 (define @t3794 () (tptp.hAPP @t3193 @t703)) % 53.50/53.72 (define @t3795 () (tptp.hAPP @t3749 @t676)) % 53.50/53.72 (define @t3796 () (tptp.hAPP @t3200 (tptp.hAPP @t3772 @t2671))) % 53.50/53.72 (define @t3797 () (tptp.hAPP @t3200 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t672) @t2671))) % 53.50/53.72 (define @t3798 () (tptp.hAPP @t3200 @t3779)) % 53.50/53.72 (define @t3799 () (tptp.hAPP @t844 @t3798)) % 53.50/53.72 (define @t3800 () (tptp.hBOOL (tptp.hAPP @t776 @t2671))) % 53.50/53.72 (define @t3801 () (@list @t2 @t2671 @t672 @t673 @t8)) % 53.50/53.72 (define @t3802 () (tptp.hAPP @t3788 @t3793)) % 53.50/53.72 (define @t3803 () (tptp.hAPP @t83 @t3501)) % 53.50/53.72 (define @t3804 () (tptp.hAPP @t3772 @t692)) % 53.50/53.72 (define @t3805 () (tptp.hAPP @t3193 @t1157)) % 53.50/53.72 (define @t3806 () (tptp.hAPP @t3805 @t3187)) % 53.50/53.72 (define @t3807 () (tptp.hAPP @t3749 @t1024)) % 53.50/53.72 (define @t3808 () (tptp.hAPP @t486 @t3750)) % 53.50/53.72 (define @t3809 () (tptp.hAPP @t3200 @t3804)) % 53.50/53.72 (define @t3810 () (tptp.hAPP @t83 @t3782)) % 53.50/53.72 (define @t3811 () (forall @t7 (not @t2965))) % 53.50/53.72 (define @t3812 () (tptp.hAPP @t3789 @t88)) % 53.50/53.72 (define @t3813 () (tptp.hAPP @t71 @t3790)) % 53.50/53.72 (define @t3814 () (tptp.hAPP (tptp.hAPP @t3788 (tptp.hAPP @t3752 (tptp.hAPP (tptp.hAPP @t796 @t1876) @t676))) @t88)) % 53.50/53.72 (define @t3815 () (tptp.hAPP (tptp.hAPP @t3788 (tptp.hAPP @t3752 @t1876)) @t25)) % 53.50/53.72 (define @t3816 () (tptp.hAPP @t71 @t3815)) % 53.50/53.72 (define @t3817 () (@list @t88 @t676 @t25 @t8)) % 53.50/53.72 (define @t3818 () (tptp.c_Relation_OField @t8)) % 53.50/53.72 (define @t3819 () (tptp.hAPP @t3818 @t2067)) % 53.50/53.72 (define @t3820 () (tptp.hAPP @t3232 @t33)) % 53.50/53.72 (define @t3821 () (tptp.c_Set_Oinsert @t2944)) % 53.50/53.72 (define @t3822 () (@list @t2067 @t33 @t13 @t8)) % 53.50/53.72 (define @t3823 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1695)) % 53.50/53.72 (define @t3824 () (tptp.hAPP @t3823 @t1024)) % 53.50/53.72 (define @t3825 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1711)) % 53.50/53.72 (define @t3826 () (tptp.hAPP @t3825 @t1024)) % 53.50/53.72 (define @t3827 () (tptp.hAPP @t3818 @t3148)) % 53.50/53.72 (define @t3828 () (tptp.hAPP @t2946 @t2067)) % 53.50/53.72 (define @t3829 () (tptp.hBOOL (tptp.hAPP @t3828 @t3148))) % 53.50/53.72 (define @t3830 () (@list @t3148 @t2067 @t8)) % 53.50/53.72 (define @t3831 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2945)) % 53.50/53.72 (define @t3832 () (tptp.hAPP @t3831 @t2067)) % 53.50/53.72 (define @t3833 () (tptp.hAPP @t3832 @t3148)) % 53.50/53.72 (define @t3834 () (tptp.c_Finite__Set_Ofinite @t2944)) % 53.50/53.72 (define @t3835 () (tptp.hBOOL (tptp.hAPP @t3834 @t2067))) % 53.50/53.72 (define @t3836 () (tptp.hAPP tptp.c_Int_Onat @t1024)) % 53.50/53.72 (define @t3837 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t8 @t2944) @t2960) @t2822)) % 53.50/53.72 (define @t3838 () (tptp.c_Relation_OId__on @t8 @t25)) % 53.50/53.72 (define @t3839 () (tptp.hAPP @t2951 @t541)) % 53.50/53.72 (define @t3840 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3839 @t32)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t48) @t57))) % 53.50/53.72 (define @t3841 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t32) @t57))) % 53.50/53.72 (define @t3842 () (tptp.c_Set_Oimage @t49 @t8 @t2)) % 53.50/53.72 (define @t3843 () (tptp.hAPP @t3842 @t25)) % 53.50/53.72 (define @t3844 () (= @t33 @t94)) % 53.50/53.72 (define @t3845 () (tptp.c_Set_Oimage @t8 @t49 @t1153)) % 53.50/53.72 (define @t3846 () (@list @t1153 @t49 @t64 @t8)) % 53.50/53.72 (define @t3847 () (tptp.hAPP (tptp.c_Set_Oimage @t49 @t1685 @t2) @t25)) % 53.50/53.72 (define @t3848 () (tptp.hAPP @t3707 @t3847)) % 53.50/53.72 (define @t3849 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1685 @t29 @t49) @t88) @t2)) % 53.50/53.72 (define @t3850 () (@list @t2 @t88 @t1685 @t25 @t8 @t49)) % 53.50/53.72 (define @t3851 () (tptp.c_COMBB @t80 @t29 @t1685)) % 53.50/53.72 (define @t3852 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t49 @t29 @t1685) @t88) @t2)) % 53.50/53.72 (define @t3853 () (tptp.hAPP (tptp.c_Set_Oimage @t1685 @t49 @t2) @t25)) % 53.50/53.72 (define @t3854 () (@list @t88 @t25 @t2 @t1685 @t8 @t49)) % 53.50/53.72 (define @t3855 () (tptp.hAPP @t3842 @t88)) % 53.50/53.72 (define @t3856 () (tptp.hAPP @t3440 @t88)) % 53.50/53.72 (define @t3857 () (@list @t88 @t25 @t2 @t8 @t49)) % 53.50/53.72 (define @t3858 () (tptp.hAPP (tptp.c_Set_Oimage @t80 @t29 @t3842) (tptp.hAPP (tptp.c_Set_OPow @t49) @t25))) % 53.50/53.72 (define @t3859 () (@list @t88 @t25 @t2 @t49 @t8)) % 53.50/53.72 (define @t3860 () (tptp.c_Set_Oimage @t8 @t49 @t2)) % 53.50/53.72 (define @t3861 () (tptp.hAPP @t3860 @t88)) % 53.50/53.72 (define @t3862 () (tptp.hAPP @t3860 @t25)) % 53.50/53.72 (define @t3863 () (tptp.hAPP @t498 @t3862)) % 53.50/53.72 (define @t3864 () (tptp.hBOOL (tptp.hAPP @t3863 @t3861))) % 53.50/53.72 (define @t3865 () (@list @t2 @t49 @t88 @t25 @t8)) % 53.50/53.72 (define @t3866 () (@var "B_AA" $$unsorted)) % 53.50/53.72 (define @t3867 () (tptp.hBOOL (tptp.hAPP @t113 @t3843))) % 53.50/53.72 (define @t3868 () (@list @t25 @t2 @t49 @t88 @t8)) % 53.50/53.72 (define @t3869 () (tptp.c_Set_Oimage @t49 @t1685 @t1)) % 53.50/53.72 (define @t3870 () (tptp.c_Set_Oimage @t1685 @t8 @t2)) % 53.50/53.72 (define @t3871 () (tptp.c_COMBB @t49 @t8 @t1685)) % 53.50/53.72 (define @t3872 () (tptp.c_Set_Oimage @t1685 @t49 @t1)) % 53.50/53.72 (define @t3873 () (@list @t2 @t49 @t25 @t48 @t8)) % 53.50/53.72 (define @t3874 () (= @t25 @t81)) % 53.50/53.72 (define @t3875 () (@list @t2 @t8 @t49)) % 53.50/53.72 (define @t3876 () (@list @t25 @t2 @t8 @t49)) % 53.50/53.72 (define @t3877 () (tptp.hAPP @t3842 @t2653)) % 53.50/53.72 (define @t3878 () (tptp.hAPP @t75 @t94)) % 53.50/53.72 (define @t3879 () (tptp.hBOOL (tptp.hAPP @t499 @t3862))) % 53.50/53.72 (define @t3880 () (tptp.hAPP @t340 @t88)) % 53.50/53.72 (define @t3881 () (tptp.c_Set_Oimage @t8 @t8 @t2086)) % 53.50/53.72 (define @t3882 () (tptp.hAPP tptp.c_Nat_OSuc @t971)) % 53.50/53.72 (define @t3883 () (tptp.hAPP tptp.c_Nat_OSuc @t972)) % 53.50/53.72 (define @t3884 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 53.50/53.72 (define @t3885 () (@list @t971 @t972)) % 53.50/53.72 (define @t3886 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t972 @t971)) % 53.50/53.72 (define @t3887 () (tptp.hAPP (tptp.c_Set_Oimage @t8 @t49 (tptp.hAPP @t2829 @t32)) @t25)) % 53.50/53.72 (define @t3888 () (= @t3887 (tptp.hAPP (tptp.hAPP @t337 @t32) @t81))) % 53.50/53.72 (define @t3889 () (tptp.c_Set_Oimage @t49 @t8 @t1)) % 53.50/53.72 (define @t3890 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3485)) % 53.50/53.72 (define @t3891 () (@list @t971 @t972 @t676)) % 53.50/53.72 (define @t3892 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2668 @t8)) % 53.50/53.72 (define @t3893 () (tptp.hAPP @t3892 tptp.c_fconj)) % 53.50/53.72 (define @t3894 () (tptp.tc_fun @t8 @t2668)) % 53.50/53.72 (define @t3895 () (tptp.hAPP (tptp.c_COMBB @t29 @t3894 @t8) @t3893)) % 53.50/53.72 (define @t3896 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t8 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t3897 () (tptp.hAPP @t1146 @t3862)) % 53.50/53.72 (define @t3898 () (@list @t2 @t49 @t25 @t8)) % 53.50/53.72 (define @t3899 () (tptp.hAPP @t2963 @t3820)) % 53.50/53.72 (define @t3900 () (tptp.hAPP @t3881 @t1067)) % 53.50/53.72 (define @t3901 () (not (= @t1067 @t30))) % 53.50/53.72 (define @t3902 () (tptp.c_Groups_Ouminus__class_Ouminus @t80)) % 53.50/53.72 (define @t3903 () (tptp.hAPP @t3902 @t25)) % 53.50/53.72 (define @t3904 () (= @t3877 @t2651)) % 53.50/53.72 (define @t3905 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3906 () (tptp.hAPP @t3067 @t2)) % 53.50/53.72 (define @t3907 () (tptp.c_member @t1685)) % 53.50/53.72 (define @t3908 () (tptp.hAPP @t2742 @t3038)) % 53.50/53.72 (define @t3909 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t1853)) % 53.50/53.72 (define @t3910 () (tptp.hAPP @t3909 @t88)) % 53.50/53.72 (define @t3911 () (tptp.hAPP @t3909 @t25)) % 53.50/53.72 (define @t3912 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2996)) % 53.50/53.72 (define @t3913 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 53.50/53.72 (define @t3914 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2858)) % 53.50/53.72 (define @t3915 () (@list @t88 @t25)) % 53.50/53.72 (define @t3916 () (@var "B_f" $$unsorted)) % 53.50/53.72 (define @t3917 () (@list @t3916)) % 53.50/53.72 (define @t3918 () (@list @t25)) % 53.50/53.72 (define @t3919 () (tptp.c_Orderings_Oord__class_Oless @t2996)) % 53.50/53.72 (define @t3920 () (tptp.c_Orderings_Oord__class_Oless @t2858)) % 53.50/53.72 (define @t3921 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t8)) % 53.50/53.72 (define @t3922 () (tptp.hAPP @t3921 @t57)) % 53.50/53.72 (define @t3923 () (tptp.hAPP @t3921 @t48)) % 53.50/53.72 (define @t3924 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2996)) % 53.50/53.72 (define @t3925 () (tptp.hAPP @t3205 @t48)) % 53.50/53.72 (define @t3926 () (@list @t25 @t48)) % 53.50/53.72 (define @t3927 () (@list @t2733 @t8)) % 53.50/53.72 (define @t3928 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t8)) % 53.50/53.72 (define @t3929 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t8)) % 53.50/53.72 (define @t3930 () (and @t1316 @t1224)) % 53.50/53.72 (define @t3931 () (tptp.c_Set_Oimage @t49 @t29 @t88)) % 53.50/53.72 (define @t3932 () (tptp.hAPP @t3931 @t25)) % 53.50/53.72 (define @t3933 () (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t3932)) % 53.50/53.72 (define @t3934 () (@list @t25 @t88 @t49 @t8)) % 53.50/53.72 (define @t3935 () (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t3932)) % 53.50/53.72 (define @t3936 () (tptp.c_Orderings_Oord__class_Oless__eq @t2996)) % 53.50/53.72 (define @t3937 () (tptp.hAPP @t3921 @t676)) % 53.50/53.72 (define @t3938 () (tptp.hAPP @t3931 @t171)) % 53.50/53.72 (define @t3939 () (tptp.hAPP (tptp.c_Set_Oimage @t49 @t29 @t25) @t171)) % 53.50/53.72 (define @t3940 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t8)) % 53.50/53.72 (define @t3941 () (@list @t3518 @t8)) % 53.50/53.72 (define @t3942 () (tptp.hAPP @t3921 @t1024)) % 53.50/53.72 (define @t3943 () (tptp.hAPP @t3921 @t1695)) % 53.50/53.72 (define @t3944 () (tptp.hAPP @t3905 @t676)) % 53.50/53.72 (define @t3945 () (tptp.c_Groups_Ominus__class_Ominus @t2858)) % 53.50/53.72 (define @t3946 () (tptp.c_Fun_Ofun__upd @t8 @t49 @t2 @t48 @t57)) % 53.50/53.72 (define @t3947 () (tptp.hAPP (tptp.c_Set_Oimage @t8 @t49 @t3946) @t25)) % 53.50/53.72 (define @t3948 () (tptp.c_Set_Oimage @t8 @t8 @t1153)) % 53.50/53.72 (define @t3949 () (tptp.hAPP @t3948 @t1789)) % 53.50/53.72 (define @t3950 () (not (= @t1789 @t30))) % 53.50/53.72 (define @t3951 () (tptp.hAPP @t1153 @t429)) % 53.50/53.72 (define @t3952 () (forall @t435 (= (tptp.hAPP @t1153 @t3309) (tptp.hAPP (tptp.hAPP @t3251 @t1155) @t3951)))) % 53.50/53.72 (define @t3953 () (@list @t1789 @t1153 @t8)) % 53.50/53.72 (define @t3954 () (forall @t435 (= (tptp.hAPP @t1153 @t1840) (tptp.hAPP (tptp.hAPP @t1545 @t1155) @t3951)))) % 53.50/53.72 (define @t3955 () (@list @t48 @t2 @t49 @t8)) % 53.50/53.72 (define @t3956 () (tptp.c_Fun_Ofun__upd @t49 @t8 @t2 @t48 @t57)) % 53.50/53.72 (define @t3957 () (= @t94 @t57)) % 53.50/53.72 (define @t3958 () (tptp.hAPP @t2 @t79)) % 53.50/53.72 (define @t3959 () (tptp.hAPP @t3946 @t79)) % 53.50/53.72 (define @t3960 () (= @t79 @t48)) % 53.50/53.72 (define @t3961 () (=> (not @t3960) (= @t3959 @t3958))) % 53.50/53.72 (define @t3962 () (@list @t57 @t2 @t49 @t8 @t48 @t79)) % 53.50/53.72 (define @t3963 () (@list @t57 @t48 @t2 @t49 @t8)) % 53.50/53.72 (define @t3964 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t8 @t49 @t2 @t13 @t33) @t48)) % 53.50/53.72 (define @t3965 () (= @t48 @t13)) % 53.50/53.72 (define @t3966 () (tptp.hAPP @t3913 @t88)) % 53.50/53.72 (define @t3967 () (tptp.hAPP @t3913 @t25)) % 53.50/53.72 (define @t3968 () (tptp.hAPP (tptp.hAPP @t3912 @t25) @t88)) % 53.50/53.72 (define @t3969 () (tptp.c_Nat__Transfer_Onat__set @t88)) % 53.50/53.72 (define @t3970 () (tptp.c_Nat__Transfer_Onat__set @t25)) % 53.50/53.72 (define @t3971 () (tptp.hAPP (tptp.hAPP @t3924 @t25) @t88)) % 53.50/53.72 (define @t3972 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t8 tptp.tc_Nat_Onat) @t2) @t1853)) % 53.50/53.72 (define @t3973 () (tptp.hAPP (tptp.hAPP @t3928 @t2) @t25)) % 53.50/53.72 (define @t3974 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t48 @t57))) % 53.50/53.72 (define @t3975 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3560 @t48) @t25))) % 53.50/53.72 (define @t3976 () (@list @t48 @t25)) % 53.50/53.72 (define @t3977 () (tptp.hAPP @t3940 @t2)) % 53.50/53.72 (define @t3978 () (tptp.hAPP @t3977 @t25)) % 53.50/53.72 (define @t3979 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t3980 () (tptp.hAPP @t3979 @t703)) % 53.50/53.72 (define @t3981 () (tptp.c_SetInterval_Oord__class_OatLeast @t8)) % 53.50/53.72 (define @t3982 () (tptp.hAPP @t3981 @t57)) % 53.50/53.72 (define @t3983 () (tptp.hAPP @t3981 @t48)) % 53.50/53.72 (define @t3984 () (tptp.hAPP @t3981 @t676)) % 53.50/53.72 (define @t3985 () (tptp.hAPP @t3981 @t1695)) % 53.50/53.72 (define @t3986 () (tptp.hAPP @t3981 @t1024)) % 53.50/53.72 (define @t3987 () (tptp.c_Relation_OImage @t3113 @t3113 tptp.c_Int_Ointrel)) % 53.50/53.72 (define @t3988 () (forall @t7 (=> @t1857 @t6))) % 53.50/53.72 (define @t3989 () (@list @t1 @t2 @t88 @t25 @t8)) % 53.50/53.72 (define @t3990 () (tptp.c_Relation_OImage @t49 @t8 @t2067)) % 53.50/53.72 (define @t3991 () (tptp.hAPP (tptp.hAPP @t3851 @t3990) @t88)) % 53.50/53.72 (define @t3992 () (tptp.c_Relation_OImage @t49 @t8 @t2733)) % 53.50/53.72 (define @t3993 () (@list @t2733 @t8 @t49)) % 53.50/53.72 (define @t3994 () (tptp.hAPP @t3992 @t88)) % 53.50/53.72 (define @t3995 () (tptp.hAPP @t3992 @t25)) % 53.50/53.72 (define @t3996 () (tptp.hAPP @t83 @t3995)) % 53.50/53.72 (define @t3997 () (tptp.hAPP (tptp.hAPP @t486 @t3995) @t3994)) % 53.50/53.72 (define @t3998 () (tptp.hAPP @t3992 @t630)) % 53.50/53.72 (define @t3999 () (@list @t88 @t25 @t2733 @t49 @t8)) % 53.50/53.72 (define @t4000 () (tptp.c_Relation_OImage @t8 @t49 @t2067)) % 53.50/53.72 (define @t4001 () (tptp.hAPP @t4000 @t25)) % 53.50/53.72 (define @t4002 () (@var "V_A_H_2" $$unsorted)) % 53.50/53.72 (define @t4003 () (@var "V_r_H_2" $$unsorted)) % 53.50/53.72 (define @t4004 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2789 @t4003) @t2067))) % 53.50/53.72 (define @t4005 () (tptp.tc_prod @t49 @t8)) % 53.50/53.72 (define @t4006 () (tptp.tc_fun @t4005 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4007 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4006)) % 53.50/53.72 (define @t4008 () (tptp.hAPP @t3689 @t3991)) % 53.50/53.72 (define @t4009 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1685 @t80) @t25)) % 53.50/53.72 (define @t4010 () (tptp.hAPP @t4009 @t88)) % 53.50/53.72 (define @t4011 () (tptp.hAPP @t3990 @t4010)) % 53.50/53.72 (define @t4012 () (tptp.hAPP @t3162 @t3)) % 53.50/53.72 (define @t4013 () (tptp.c_member @t4005)) % 53.50/53.72 (define @t4014 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4013 (tptp.hAPP @t4012 @t33)) @t2067))) % 53.50/53.72 (define @t4015 () (tptp.hAPP @t3990 @t25)) % 53.50/53.72 (define @t4016 () (tptp.hBOOL (tptp.hAPP @t76 @t4015))) % 53.50/53.72 (define @t4017 () (@list @t25 @t2067 @t49 @t33 @t8)) % 53.50/53.72 (define @t4018 () (tptp.hBOOL (tptp.hAPP @t3908 @t2067))) % 53.50/53.72 (define @t4019 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 @t80 @t80) @t337) @t81)) % 53.50/53.72 (define @t4020 () (tptp.c_COMBB @t80 @t29 @t49)) % 53.50/53.72 (define @t4021 () (tptp.hAPP @t3162 @t13)) % 53.50/53.72 (define @t4022 () (tptp.hAPP @t4021 @t33)) % 53.50/53.72 (define @t4023 () (tptp.hAPP @t3990 @t3719)) % 53.50/53.72 (define @t4024 () (tptp.hAPP @t704 @t57)) % 53.50/53.72 (define @t4025 () (tptp.hAPP @t704 @t48)) % 53.50/53.72 (define @t4026 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3519 @t3651) @t3536)))) % 53.50/53.72 (define @t4027 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3519 @t3123) @t3536)))) % 53.50/53.72 (define @t4028 () (tptp.hAPP @t2986 @t673)) % 53.50/53.72 (define @t4029 () (tptp.tc_fun @t3521 @t3521)) % 53.50/53.72 (define @t4030 () (tptp.tc_fun tptp.tc_Nat_Onat @t4029)) % 53.50/53.72 (define @t4031 () (tptp.tc_fun tptp.tc_Nat_Onat @t3521)) % 53.50/53.72 (define @t4032 () (tptp.c_Relation_OImage @t8 @t8 @t2067)) % 53.50/53.72 (define @t4033 () (tptp.c_COMBB @t29 @t29 @t8)) % 53.50/53.72 (define @t4034 () (tptp.tc_fun @t1048 @t1048)) % 53.50/53.72 (define @t4035 () (tptp.c_Equiv__Relations_Oquotient @t8)) % 53.50/53.72 (define @t4036 () (tptp.hAPP (tptp.hAPP @t4035 @t25) @t2067)) % 53.50/53.72 (define @t4037 () (@list @t2067 @t25 @t8)) % 53.50/53.72 (define @t4038 () (tptp.hAPP @t4032 @t53)) % 53.50/53.72 (define @t4039 () (tptp.hAPP (tptp.hAPP @t4035 @t53) @t2067)) % 53.50/53.72 (define @t4040 () (@list @t2067 @t48 @t8)) % 53.50/53.72 (define @t4041 () (tptp.hBOOL (tptp.hAPP @t3899 @t2067))) % 53.50/53.72 (define @t4042 () (tptp.hAPP @t4032 @t41)) % 53.50/53.72 (define @t4043 () (tptp.hAPP @t4032 @t45)) % 53.50/53.72 (define @t4044 () (tptp.c_Equiv__Relations_Oequiv @t8 @t25 @t2067)) % 53.50/53.72 (define @t4045 () (=> @t194 @t4041)) % 53.50/53.72 (define @t4046 () (tptp.hBOOL (tptp.hAPP @t1046 @t4036))) % 53.50/53.72 (define @t4047 () (tptp.c_Orderings_Otop__class_Otop @t3521)) % 53.50/53.72 (define @t4048 () (@list @t13 @t2067 @t25 @t8)) % 53.50/53.72 (define @t4049 () (= @t461 @t3518)) % 53.50/53.72 (define @t4050 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t3518) @t4036))) % 53.50/53.72 (define @t4051 () (= @t4043 @t4042)) % 53.50/53.72 (define @t4052 () (@list @t33 @t13 @t2067 @t25 @t8)) % 53.50/53.72 (define @t4053 () (tptp.hBOOL (tptp.hAPP @t3144 @t2067))) % 53.50/53.72 (define @t4054 () (tptp.hBOOL (tptp.hAPP @t189 @t3518))) % 53.50/53.72 (define @t4055 () (tptp.hBOOL (tptp.hAPP @t148 @t461))) % 53.50/53.72 (define @t4056 () (@list @t57 @t48 @t3518 @t461 @t2067 @t25 @t8)) % 53.50/53.72 (define @t4057 () (= @t4038 (tptp.hAPP @t4032 @t505))) % 53.50/53.72 (define @t4058 () (@list @t57 @t48 @t2067 @t25 @t8)) % 53.50/53.72 (define @t4059 () (@var "V_r2_2" $$unsorted)) % 53.50/53.72 (define @t4060 () (tptp.c_Relation_OImage @t49 @t49 @t4059)) % 53.50/53.72 (define @t4061 () (tptp.c_COMBB @t3361 @t2750 @t8)) % 53.50/53.72 (define @t4062 () (@var "V_r1_2" $$unsorted)) % 53.50/53.72 (define @t4063 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t2750)) % 53.50/53.72 (define @t4064 () (@var "V_A2_2" $$unsorted)) % 53.50/53.72 (define @t4065 () (@var "V_A1_2" $$unsorted)) % 53.50/53.72 (define @t4066 () (tptp.c_Equiv__Relations_Ocongruent2 @t8 @t49 @t2750 @t4062 @t4059 @t2)) % 53.50/53.72 (define @t4067 () (tptp.c_Equiv__Relations_Oequiv @t49 @t4064 @t4059)) % 53.50/53.72 (define @t4068 () (tptp.c_Equiv__Relations_Oequiv @t8 @t4065 @t4062)) % 53.50/53.72 (define @t4069 () (tptp.c_Equiv__Relations_Ocongruent @t8 @t80 @t2067 @t2)) % 53.50/53.72 (define @t4070 () (tptp.hAPP @t2733 @t57)) % 53.50/53.72 (define @t4071 () (tptp.hBOOL (tptp.hAPP @t3242 @t57))) % 53.50/53.72 (define @t4072 () (=> @t4071 (=> (tptp.hBOOL (tptp.hAPP @t4070 @t79)) (tptp.hBOOL (tptp.hAPP @t3242 @t79))))) % 53.50/53.72 (define @t4073 () (tptp.c_Equiv__Relations_Oequivp @t8 @t2733)) % 53.50/53.72 (define @t4074 () (@list @t79 @t57 @t48 @t2733 @t8)) % 53.50/53.72 (define @t4075 () (=> @t4071 (tptp.hBOOL (tptp.hAPP @t4070 @t48)))) % 53.50/53.72 (define @t4076 () (@list @t57 @t48 @t2733 @t8)) % 53.50/53.72 (define @t4077 () (tptp.hBOOL (tptp.hAPP @t3242 @t48))) % 53.50/53.72 (define @t4078 () (@list @t48 @t2733 @t8)) % 53.50/53.72 (define @t4079 () (tptp.hAPP @t2733 @t429)) % 53.50/53.72 (define @t4080 () (tptp.hAPP @t2733 @t3)) % 53.50/53.72 (define @t4081 () (= @t4080 @t4079)) % 53.50/53.72 (define @t4082 () (tptp.hBOOL (tptp.hAPP @t4080 @t429))) % 53.50/53.72 (define @t4083 () (tptp.c_Equiv__Relations_Ocongruent2 @t8 @t49 @t1685 @t4062 @t4059 @t2)) % 53.50/53.72 (define @t4084 () (@var "V_z2_2" $$unsorted)) % 53.50/53.72 (define @t4085 () (@var "V_z1_2" $$unsorted)) % 53.50/53.72 (define @t4086 () (@var "V_y2_2" $$unsorted)) % 53.50/53.72 (define @t4087 () (@var "V_y1_2" $$unsorted)) % 53.50/53.72 (define @t4088 () (tptp.hAPP @t2960 @t57)) % 53.50/53.72 (define @t4089 () (tptp.hAPP @t2963 (tptp.hAPP @t4088 @t79))) % 53.50/53.72 (define @t4090 () (tptp.c_Equiv__Relations_Ocongruent @t8 @t49 @t2067 @t2)) % 53.50/53.72 (define @t4091 () (tptp.hAPP @t2963 (tptp.hAPP @t2961 @t429))) % 53.50/53.72 (define @t4092 () (tptp.hBOOL (tptp.hAPP @t4091 @t2067))) % 53.50/53.72 (define @t4093 () (tptp.hAPP @t2 @t429)) % 53.50/53.72 (define @t4094 () (= @t5 @t4093)) % 53.50/53.72 (define @t4095 () (tptp.hAPP (tptp.hAPP @t3661 @t461) @t2)) % 53.50/53.72 (define @t4096 () (@var "V_X2_2" $$unsorted)) % 53.50/53.72 (define @t4097 () (@var "V_X1_2" $$unsorted)) % 53.50/53.72 (define @t4098 () (tptp.c_member @t2750)) % 53.50/53.72 (define @t4099 () (@var "B_x2" $$unsorted)) % 53.50/53.72 (define @t4100 () (tptp.c_member @t80)) % 53.50/53.72 (define @t4101 () (tptp.c_Fun_Oinj__on @t8 @t1048 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t2945 @t1048) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 (tptp.tc_fun @t2945 @t1048) @t8) @t4035) @t2842)) @t2067) @t25)) % 53.50/53.72 (define @t4102 () (tptp.c_Wellfounded_Oacc @t8 @t2067)) % 53.50/53.72 (define @t4103 () (tptp.hBOOL (tptp.hAPP @t148 @t4102))) % 53.50/53.72 (define @t4104 () (tptp.hAPP @t3591 @t2067)) % 53.50/53.72 (define @t4105 () (@list @t48 @t2067 @t8)) % 53.50/53.72 (define @t4106 () (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t25)) % 53.50/53.72 (define @t4107 () (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t88)) % 53.50/53.72 (define @t4108 () (@list @t25 @t88 @t2 @t49 @t8)) % 53.50/53.72 (define @t4109 () (= @t94 @t643)) % 53.50/53.72 (define @t4110 () (@list @t57 @t48 @t25 @t2 @t49 @t8)) % 53.50/53.72 (define @t4111 () (= @t4109 @t165)) % 53.50/53.72 (define @t4112 () (not @t4109)) % 53.50/53.72 (define @t4113 () (tptp.tc_fun @t1685 @t49)) % 53.50/53.72 (define @t4114 () (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t2651)) % 53.50/53.72 (define @t4115 () (tptp.c_Fun_Oinj__on @t49 @t8 @t2 @t25)) % 53.50/53.72 (define @t4116 () (= (= @t3862 @t3861) @t112)) % 53.50/53.72 (define @t4117 () (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t131)) % 53.50/53.72 (define @t4118 () (= @t3897 @t504)) % 53.50/53.72 (define @t4119 () (tptp.hAPP @t343 @t794)) % 53.50/53.72 (define @t4120 () (@list @t25 @t13 @t2 @t49 @t8)) % 53.50/53.72 (define @t4121 () (= @t429 @t3)) % 53.50/53.72 (define @t4122 () (tptp.hAPP @t3860 @t2651)) % 53.50/53.72 (define @t4123 () (@var "B_g" $$unsorted)) % 53.50/53.72 (define @t4124 () (tptp.hAPP @t498 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t49 @t3916) @t25))) % 53.50/53.72 (define @t4125 () (tptp.c_Fun_Oinj__on @t8 @t49 @t3916 @t25)) % 53.50/53.72 (define @t4126 () (tptp.c_Set_Oimage @t8 @t8 @t2)) % 53.50/53.72 (define @t4127 () (tptp.hAPP @t4126 @t25)) % 53.50/53.72 (define @t4128 () (tptp.c_Fun_Oinj__on @t8 @t8 @t2 @t25)) % 53.50/53.72 (define @t4129 () (tptp.c_Fun_Oinj__on @t8 @t8 @t2 @t2651)) % 53.50/53.72 (define @t4130 () (= (tptp.hAPP @t4126 @t2651) @t2651)) % 53.50/53.72 (define @t4131 () (@list @t2 @t8)) % 53.50/53.72 (define @t4132 () (= (tptp.hAPP @t3860 @t488) (tptp.hAPP (tptp.hAPP @t628 @t3862) @t3861))) % 53.50/53.72 (define @t4133 () (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t171)) % 53.50/53.72 (define @t4134 () (@list @t88 @t25 @t171 @t2 @t49 @t8)) % 53.50/53.72 (define @t4135 () (tptp.hAPP @t3860 @t92)) % 53.50/53.72 (define @t4136 () (= @t4135 (tptp.hAPP (tptp.hAPP @t339 @t3862) @t3861))) % 53.50/53.72 (define @t4137 () (tptp.hAPP @t343 @t57)) % 53.50/53.72 (define @t4138 () (tptp.hBOOL (tptp.hAPP @t4137 @t3862))) % 53.50/53.72 (define @t4139 () (tptp.c_member @t3521)) % 53.50/53.72 (define @t4140 () (= @t504 @t1147)) % 53.50/53.72 (define @t4141 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP @t3889 @t88)) @t25))) % 53.50/53.72 (define @t4142 () (tptp.c_Fun_Oinj__on @t49 @t8 @t1 @t88)) % 53.50/53.72 (define @t4143 () (tptp.hBOOL (tptp.hAPP @t3863 @t88))) % 53.50/53.72 (define @t4144 () (@list @t1 @t88 @t25 @t2 @t49 @t8)) % 53.50/53.72 (define @t4145 () (tptp.hAPP @t3902 @t3862)) % 53.50/53.72 (define @t4146 () (tptp.hAPP @t3860 @t2198)) % 53.50/53.72 (define @t4147 () (tptp.hBOOL (tptp.hAPP @t181 @t4102))) % 53.50/53.72 (define @t4148 () (tptp.hBOOL (tptp.hAPP @t117 @t4102))) % 53.50/53.72 (define @t4149 () (@list @t2067 @t13 @t8)) % 53.50/53.72 (define @t4150 () (tptp.hBOOL (tptp.hAPP @t76 @t4102))) % 53.50/53.72 (define @t4151 () (tptp.hBOOL (tptp.hAPP @t596 @t1147))) % 53.50/53.72 (define @t4152 () (= (tptp.hAPP @t3860 (tptp.hAPP @t3689 @t88)) (tptp.hAPP @t4009 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 @t80 @t1685) @t3860) @t88)))) % 53.50/53.72 (define @t4153 () (tptp.c_Fun_Othe__inv__into @t8 @t49 @t25 @t2)) % 53.50/53.72 (define @t4154 () (tptp.hAPP @t4153 @t48)) % 53.50/53.72 (define @t4155 () (tptp.hBOOL (tptp.hAPP @t344 @t3862))) % 53.50/53.72 (define @t4156 () (tptp.hAPP (tptp.c_COMBC @t49 @t8 @t4005) @t3162)) % 53.50/53.72 (define @t4157 () (@list @t48 @t25 @t2 @t49 @t8)) % 53.50/53.72 (define @t4158 () (tptp.hAPP @t4153 @t57)) % 53.50/53.72 (define @t4159 () (@var "V_Abs_2" $$unsorted)) % 53.50/53.72 (define @t4160 () (@var "V_Rep_2" $$unsorted)) % 53.50/53.72 (define @t4161 () (tptp.c_Typedef_Otype__definition @t8 @t49 @t4160 @t4159 @t25)) % 53.50/53.72 (define @t4162 () (@list @t25 @t4159 @t4160 @t49 @t8)) % 53.50/53.72 (define @t4163 () (tptp.hAPP @t4160 @t48)) % 53.50/53.72 (define @t4164 () (@list @t48 @t25 @t4159 @t4160 @t49 @t8)) % 53.50/53.72 (define @t4165 () (@list @t57 @t48 @t25 @t4159 @t4160 @t49 @t8)) % 53.50/53.72 (define @t4166 () (tptp.hAPP @t4159 @t57)) % 53.50/53.72 (define @t4167 () (tptp.hBOOL (tptp.hAPP @t4137 @t25))) % 53.50/53.72 (define @t4168 () (tptp.hBOOL (tptp.hAPP @t4080 @t567))) % 53.50/53.72 (define @t4169 () (tptp.hBOOL (tptp.hAPP @t570 @t405))) % 53.50/53.72 (define @t4170 () (tptp.hBOOL (tptp.hAPP @t181 @t406))) % 53.50/53.72 (define @t4171 () (not @t436)) % 53.50/53.72 (define @t4172 () (tptp.hBOOL (tptp.hAPP @t334 @t405))) % 53.50/53.72 (define @t4173 () (tptp.hBOOL (tptp.hAPP @t334 @t406))) % 53.50/53.72 (define @t4174 () (tptp.hAPP @t2963 (tptp.hAPP @t2961 @t567))) % 53.50/53.72 (define @t4175 () (tptp.hBOOL (tptp.hAPP @t4174 @t2733))) % 53.50/53.72 (define @t4176 () (tptp.hBOOL (tptp.hAPP @t570 @t3518))) % 53.50/53.72 (define @t4177 () (tptp.hBOOL (tptp.hAPP @t181 @t461))) % 53.50/53.72 (define @t4178 () (not (= @t3518 @t30))) % 53.50/53.72 (define @t4179 () (tptp.hBOOL (tptp.hAPP @t334 @t3518))) % 53.50/53.72 (define @t4180 () (tptp.hBOOL (tptp.hAPP @t334 @t461))) % 53.50/53.72 (define @t4181 () (@list @t2733 @t3518 @t461 @t8)) % 53.50/53.72 (define @t4182 () (tptp.c_Nitpick_Ofrac @t98)) % 53.50/53.72 (define @t4183 () (@list @t442)) % 53.50/53.72 (define @t4184 () (tptp.c_COMBB @t29 tptp.tc_HOL_Obool @t8)) % 53.50/53.72 (define @t4185 () (tptp.hAPP tptp.c_fequal @t48)) % 53.50/53.72 (define @t4186 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t49)) % 53.50/53.72 (define @t4187 () (tptp.hAPP (tptp.c_COMBB @t2668 @t3459 @t8) @t4186)) % 53.50/53.72 (define @t4188 () (tptp.hAPP @t3039 (tptp.hAPP (tptp.hAPP @t3462 (tptp.hAPP @t4187 (tptp.hAPP @t3893 @t4185))) @t291))) % 53.50/53.72 (define @t4189 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2764 @t80 @t8) (tptp.hAPP (tptp.c_COMBB @t2660 tptp.tc_HOL_Obool @t49) @t178)) @t2739)) % 53.50/53.72 (define @t4190 () (tptp.hAPP @t3039 @t4189)) % 53.50/53.72 (define @t4191 () (@list @t178 @t49 @t8)) % 53.50/53.72 (define @t4192 () (tptp.c_COMBB @t49 @t80 @t8)) % 53.50/53.72 (define @t4193 () (tptp.hAPP (tptp.hAPP @t4192 tptp.c_fequal) @t2)) % 53.50/53.72 (define @t4194 () (tptp.c_COMBC @t8 @t49 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4195 () (tptp.hAPP @t4194 @t4193)) % 53.50/53.72 (define @t4196 () (tptp.hAPP @t3893 @t2834)) % 53.50/53.72 (define @t4197 () (tptp.c_COMBS @t8 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4198 () (tptp.hAPP @t4197 @t4196)) % 53.50/53.72 (define @t4199 () (tptp.hAPP @t4198 (tptp.hAPP @t4195 @t48))) % 53.50/53.72 (define @t4200 () (@list @t48 @t2 @t25 @t49 @t8)) % 53.50/53.72 (define @t4201 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2660 @t49 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t80 @t2660) @t178) @t3149)) @t3147)) % 53.50/53.72 (define @t4202 () (tptp.hAPP @t3039 @t178)) % 53.50/53.72 (define @t4203 () (tptp.c_Partial__Function_Oflat__lub @t8 @t33 @t25)) % 53.50/53.72 (define @t4204 () (tptp.hBOOL (tptp.hAPP @t72 @t41))) % 53.50/53.72 (define @t4205 () (tptp.c_Set_Ovimage @t8 @t49 @t2)) % 53.50/53.72 (define @t4206 () (tptp.hAPP @t4205 @t3719)) % 53.50/53.72 (define @t4207 () (@list @t13 @t2 @t49 @t8)) % 53.50/53.72 (define @t4208 () (tptp.hAPP tptp.c_Int_ORep__Integ @t3)) % 53.50/53.72 (define @t4209 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4139 @t57) tptp.c_Int_OInteg))) % 53.50/53.72 (define @t4210 () (@list @t57)) % 53.50/53.72 (define @t4211 () (tptp.c_Set_Ovimage @t49 @t8 @t2)) % 53.50/53.72 (define @t4212 () (tptp.hAPP @t4211 @t88)) % 53.50/53.72 (define @t4213 () (= @t794 @t33)) % 53.50/53.72 (define @t4214 () (tptp.hAPP @t4205 @t88)) % 53.50/53.72 (define @t4215 () (tptp.hAPP @t4205 @t25)) % 53.50/53.72 (define @t4216 () (tptp.hAPP @t4211 @t25)) % 53.50/53.72 (define @t4217 () (tptp.hAPP (tptp.hAPP @t3851 @t4205) @t88)) % 53.50/53.72 (define @t4218 () (@list @t88 @t25 @t1685 @t2 @t49 @t8)) % 53.50/53.72 (define @t4219 () (tptp.hAPP @t3842 @t4216)) % 53.50/53.72 (define @t4220 () (tptp.hAPP @t337 @t33)) % 53.50/53.72 (define @t4221 () (tptp.hBOOL (tptp.hAPP @t346 @t64))) % 53.50/53.72 (define @t4222 () (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t49 @t1153) @t64)))) % 53.50/53.72 (define @t4223 () (@list @t64 @t1153 @t49 @t8)) % 53.50/53.72 (define @t4224 () (tptp.hAPP @t2729 @t32)) % 53.50/53.72 (define @t4225 () (tptp.hAPP (tptp.c_Set_Ovimage @t49 @t8 @t4224) @t25)) % 53.50/53.72 (define @t4226 () (@list @t88 @t2 @t49 @t8)) % 53.50/53.72 (define @t4227 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4214) @t25))) % 53.50/53.72 (define @t4228 () (tptp.hAPP @t3447 @t88)) % 53.50/53.72 (define @t4229 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2921 @t49) @t2920)) % 53.50/53.72 (define @t4230 () (tptp.hAPP (tptp.c_Set_Ovimage @t49 @t8 (tptp.hAPP (tptp.hAPP @t2731 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 @t8 @t2722) (tptp.hAPP @t4229 @t4228)) @t32)) @t35)) @t25)) % 53.50/53.72 (define @t4231 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t35) @t25))) % 53.50/53.72 (define @t4232 () (not @t4231)) % 53.50/53.72 (define @t4233 () (tptp.tc_fun @t2750 @t2750)) % 53.50/53.72 (define @t4234 () (tptp.hAPP @t3870 @t25)) % 53.50/53.72 (define @t4235 () (tptp.c_Product__Type_OSigma @t8 @t49)) % 53.50/53.72 (define @t4236 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t2764 @t1685) @t2739) @t2)) % 53.50/53.72 (define @t4237 () (tptp.hBOOL @t3166)) % 53.50/53.72 (define @t4238 () (@list @t178 @t57)) % 53.50/53.72 (define @t4239 () (tptp.hAPP @t4235 @t25)) % 53.50/53.72 (define @t4240 () (tptp.hAPP @t4239 @t88)) % 53.50/53.72 (define @t4241 () (tptp.hBOOL (tptp.hAPP @t3908 @t4240))) % 53.50/53.72 (define @t4242 () (tptp.hAPP @t3675 @t171)) % 53.50/53.72 (define @t4243 () (tptp.c_Product__Type_OSigma @t49 @t8)) % 53.50/53.72 (define @t4244 () (tptp.hAPP (tptp.hAPP @t4243 @t88) @t4242)) % 53.50/53.72 (define @t4245 () (tptp.hAPP @t4243 @t25)) % 53.50/53.72 (define @t4246 () (tptp.hAPP @t4245 @t4242)) % 53.50/53.72 (define @t4247 () (tptp.hBOOL (tptp.hAPP @t148 @t171))) % 53.50/53.72 (define @t4248 () (@list @t88 @t25 @t49 @t171 @t48 @t8)) % 53.50/53.72 (define @t4249 () (tptp.hAPP (tptp.hAPP @t4235 @t3423) @t171)) % 53.50/53.72 (define @t4250 () (tptp.hAPP @t4235 @t3365)) % 53.50/53.72 (define @t4251 () (tptp.hAPP @t4250 @t171)) % 53.50/53.72 (define @t4252 () (tptp.c_Groups_Ominus__class_Ominus @t2661)) % 53.50/53.72 (define @t4253 () (@list @t171 @t3423 @t3365 @t49 @t8)) % 53.50/53.72 (define @t4254 () (tptp.hAPP @t3455 @t171)) % 53.50/53.72 (define @t4255 () (tptp.hAPP @t4235 @t88)) % 53.50/53.72 (define @t4256 () (tptp.hAPP @t4255 @t4254)) % 53.50/53.72 (define @t4257 () (tptp.hAPP @t4239 @t4254)) % 53.50/53.72 (define @t4258 () (@list @t171 @t88 @t25 @t49 @t8)) % 53.50/53.72 (define @t4259 () (tptp.hAPP @t4250 @t88)) % 53.50/53.72 (define @t4260 () (tptp.hAPP @t4250 @t25)) % 53.50/53.72 (define @t4261 () (tptp.c_COMBS @t8 @t80 @t80)) % 53.50/53.72 (define @t4262 () (tptp.hAPP @t3455 @t88)) % 53.50/53.72 (define @t4263 () (tptp.hAPP @t4239 @t4262)) % 53.50/53.72 (define @t4264 () (tptp.c_Finite__Set_Ocard @t2660)) % 53.50/53.72 (define @t4265 () (tptp.c_COMBK @t2750 @t49)) % 53.50/53.72 (define @t4266 () (tptp.c_Product__Type_OSigma @t49 @t1685)) % 53.50/53.72 (define @t4267 () (tptp.hAPP (tptp.hAPP @t4266 @t25) (tptp.hAPP @t4265 @t88))) % 53.50/53.72 (define @t4268 () (tptp.hAPP @t4235 @t2651)) % 53.50/53.72 (define @t4269 () (tptp.hAPP @t3455 @t25)) % 53.50/53.72 (define @t4270 () (tptp.c_Groups_Ouminus__class_Ouminus @t2661)) % 53.50/53.72 (define @t4271 () (tptp.hAPP @t3455 @t2653)) % 53.50/53.72 (define @t4272 () (tptp.hAPP @t4245 (tptp.hAPP @t3675 @t88))) % 53.50/53.72 (define @t4273 () (tptp.hAPP (tptp.c_COMBC @t8 @t49 @t2660) @t2739)) % 53.50/53.72 (define @t4274 () (tptp.hBOOL (tptp.hAPP @t2663 @t4263))) % 53.50/53.72 (define @t4275 () (tptp.c_COMBK @t29 @t8)) % 53.50/53.72 (define @t4276 () (tptp.c_Product__Type_OSigma @t8 @t8)) % 53.50/53.72 (define @t4277 () (tptp.hAPP (tptp.hAPP @t4276 @t25) (tptp.hAPP @t4275 @t25))) % 53.50/53.72 (define @t4278 () (tptp.hBOOL (tptp.hAPP @t3828 @t4277))) % 53.50/53.72 (define @t4279 () (@list @t88 @t25 @t33 @t13 @t49 @t8)) % 53.50/53.72 (define @t4280 () (tptp.hAPP @t498 @t25)) % 53.50/53.72 (define @t4281 () (tptp.c_Orderings_Oord__class_Oless__eq @t4006)) % 53.50/53.72 (define @t4282 () (tptp.hAPP @t2789 @t2067)) % 53.50/53.72 (define @t4283 () (tptp.hBOOL (tptp.hAPP @t4282 @t4263))) % 53.50/53.72 (define @t4284 () (tptp.hAPP (tptp.c_Set_Oimage @t4005 @t49 @t3165) @t4272)) % 53.50/53.72 (define @t4285 () (tptp.hAPP (tptp.c_Set_Oimage @t2660 @t49 @t3147) @t4263)) % 53.50/53.72 (define @t4286 () (tptp.hAPP @t4235 @t28)) % 53.50/53.72 (define @t4287 () (tptp.hAPP @t3455 (tptp.hAPP @t4220 @t88))) % 53.50/53.72 (define @t4288 () (tptp.c_Set_Oinsert @t2660)) % 53.50/53.72 (define @t4289 () (tptp.hAPP @t4288 @t3038)) % 53.50/53.72 (define @t4290 () (@var "V_E_2" $$unsorted)) % 53.50/53.72 (define @t4291 () (tptp.tc_fun @t2744 @t2661)) % 53.50/53.72 (define @t4292 () (tptp.tc_fun @t3082 @t2661)) % 53.50/53.72 (define @t4293 () (tptp.tc_fun @t3082 @t2744)) % 53.50/53.72 (define @t4294 () (tptp.tc_fun @t3082 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4295 () (tptp.tc_prod @t1685 @t3082)) % 53.50/53.72 (define @t4296 () (tptp.tc_fun @t2661 @t2661)) % 53.50/53.72 (define @t4297 () (tptp.tc_fun @t49 @t4296)) % 53.50/53.72 (define @t4298 () (tptp.tc_fun @t49 @t2661)) % 53.50/53.72 (define @t4299 () (tptp.c_Groups_Oone__class_Oone @t1685)) % 53.50/53.72 (define @t4300 () (tptp.c_Groups_Otimes__class_Otimes @t1685)) % 53.50/53.72 (define @t4301 () (tptp.c_Finite__Set_Ofold__image @t1685 @t49 @t4300)) % 53.50/53.72 (define @t4302 () (tptp.tc_fun @t80 @t1685)) % 53.50/53.72 (define @t4303 () (tptp.c_COMBS @t8 @t80 @t1685)) % 53.50/53.72 (define @t4304 () (tptp.c_Finite__Set_Ofold__image @t1685 @t8 @t4300)) % 53.50/53.72 (define @t4305 () (tptp.class_Groups_Ocomm__monoid__mult @t1685)) % 53.50/53.72 (define @t4306 () (@list @t440)) % 53.50/53.72 (define @t4307 () (forall @t4306 (=> @t457 (tptp.hBOOL (tptp.hAPP @t346 (tptp.hAPP @t88 @t440)))))) % 53.50/53.72 (define @t4308 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t49 @t1685)) % 53.50/53.72 (define @t4309 () (tptp.c_COMBB @t3078 @t4302 @t8)) % 53.50/53.72 (define @t4310 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 @t1685)) % 53.50/53.72 (define @t4311 () (@list @t2 @t88 @t49 @t25 @t8 @t1685)) % 53.50/53.72 (define @t4312 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t49 @t1685)) % 53.50/53.72 (define @t4313 () (tptp.hAPP @t4303 (tptp.hAPP (tptp.hAPP @t4309 @t4312) @t2))) % 53.50/53.72 (define @t4314 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t1685)) % 53.50/53.72 (define @t4315 () (tptp.class_Groups_Ocomm__monoid__add @t1685)) % 53.50/53.72 (define @t4316 () (tptp.hAPP (tptp.c_COMBB @t80 tptp.tc_Nat_Onat @t8) @t1146)) % 53.50/53.72 (define @t4317 () (tptp.hAPP @t2739 @t3)) % 53.50/53.72 (define @t4318 () (tptp.hAPP @t4317 @t429)) % 53.50/53.72 (define @t4319 () (tptp.hAPP @t343 @t429)) % 53.50/53.72 (define @t4320 () (tptp.hAPP @t2742 @t32)) % 53.50/53.72 (define @t4321 () (tptp.tc_prod @t8 @t1685)) % 53.50/53.72 (define @t4322 () (tptp.tc_fun @t4321 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4323 () (tptp.tc_prod @t49 @t3082)) % 53.50/53.72 (define @t4324 () (tptp.c_Set_Oimage @t4323 @t4321 (tptp.c_Product__Type_Omap__pair @t49 @t8 @t3082 @t1685 @t2 @t1))) % 53.50/53.72 (define @t4325 () (tptp.c_Orderings_Otop__class_Otop @t2750)) % 53.50/53.72 (define @t4326 () (tptp.c_Set_Oimage @t3082 @t1685 @t1)) % 53.50/53.72 (define @t4327 () (tptp.c_COMBK @t2750 @t8)) % 53.50/53.72 (define @t4328 () (tptp.c_Product__Type_OSigma @t8 @t1685)) % 53.50/53.72 (define @t4329 () (tptp.hAPP @t4328 @t25)) % 53.50/53.72 (define @t4330 () (tptp.c_Product__Type_Omap__pair @t8 @t1685 @t49 @t3082 @t2 @t1)) % 53.50/53.72 (define @t4331 () (tptp.hAPP @t1 @t33)) % 53.50/53.72 (define @t4332 () (tptp.c_Product__Type_OPair @t1685 @t3082)) % 53.50/53.72 (define @t4333 () (tptp.c_member @t4295)) % 53.50/53.72 (define @t4334 () (tptp.c_Product__Type_Omap__pair @t8 @t8 @t49 @t49 @t2822 (tptp.c_COMBI @t49))) % 53.50/53.72 (define @t4335 () (tptp.c_Product__Type_Omap__pair @t1685 @t8 @t3082 @t49 @t2 @t1)) % 53.50/53.72 (define @t4336 () (tptp.tc_fun @t3082 @t4295)) % 53.50/53.72 (define @t4337 () (tptp.tc_fun @t49 @t4295)) % 53.50/53.72 (define @t4338 () (tptp.tc_fun @t49 @t3082)) % 53.50/53.72 (define @t4339 () (@var "V_B_H_2" $$unsorted)) % 53.50/53.72 (define @t4340 () (= @t3843 @t4002)) % 53.50/53.72 (define @t4341 () (forall @t7 (=> @t183 @t2965))) % 53.50/53.72 (define @t4342 () (tptp.c_Relation_Orefl__on @t8 @t25 @t2067)) % 53.50/53.72 (define @t4343 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4344 () (tptp.hAPP @t4343 @t506)) % 53.50/53.72 (define @t4345 () (tptp.c_COMBC tptp.tc_Nat_Onat @t2858 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4346 () (tptp.hAPP @t4345 @t3205)) % 53.50/53.72 (define @t4347 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2668 tptp.tc_Nat_Onat) tptp.c_fconj)) % 53.50/53.72 (define @t4348 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4349 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t4350 () (tptp.hAPP @t3188 (tptp.hAPP @t4349 (tptp.hAPP (tptp.hAPP @t4348 (tptp.hAPP @t4347 (tptp.hAPP @t4346 @t1788))) (tptp.hAPP @t4344 @t3883))))) % 53.50/53.72 (define @t4351 () (tptp.hAPP @t4344 @t972)) % 53.50/53.72 (define @t4352 () (tptp.tc_fun @t2858 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4353 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4352 tptp.tc_Nat_Onat) @t3205)) % 53.50/53.72 (define @t4354 () (tptp.hAPP @t4345 (tptp.hAPP @t4353 tptp.c_Nat_OSuc))) % 53.50/53.72 (define @t4355 () (tptp.hAPP @t3188 (tptp.hAPP @t4349 (tptp.hAPP (tptp.hAPP @t4348 (tptp.hAPP @t4347 (tptp.hAPP @t4354 @t1788))) @t4351)))) % 53.50/53.72 (define @t4356 () (tptp.hAPP @t3205 @t1157)) % 53.50/53.72 (define @t4357 () (tptp.hBOOL (tptp.hAPP @t4356 @t1788))) % 53.50/53.72 (define @t4358 () (@list @t972 @t1788)) % 53.50/53.72 (define @t4359 () (tptp.c_Set_OCollect @t8)) % 53.50/53.72 (define @t4360 () (tptp.hAPP @t4359 @t178)) % 53.50/53.72 (define @t4361 () (tptp.hBOOL (tptp.hAPP @t117 @t4360))) % 53.50/53.72 (define @t4362 () (tptp.hBOOL (tptp.hAPP @t178 @t13))) % 53.50/53.72 (define @t4363 () (@list @t8 @t13 @t178)) % 53.50/53.72 (define @t4364 () (tptp.hAPP @t3893 @t178)) % 53.50/53.72 (define @t4365 () (tptp.hAPP @t4197 @t4364)) % 53.50/53.72 (define @t4366 () (tptp.hAPP @t4359 (tptp.hAPP @t4365 @t305))) % 53.50/53.72 (define @t4367 () (tptp.hAPP @t4359 @t305)) % 53.50/53.72 (define @t4368 () (tptp.hBOOL (tptp.hAPP @t334 @t4367))) % 53.50/53.72 (define @t4369 () (tptp.hBOOL (tptp.hAPP @t334 @t4360))) % 53.50/53.72 (define @t4370 () (@list @t305 @t178 @t8)) % 53.50/53.72 (define @t4371 () (tptp.c_Set_OCollect @t49)) % 53.50/53.72 (define @t4372 () (tptp.hAPP @t3441 @t4371)) % 53.50/53.72 (define @t4373 () (tptp.hAPP @t4235 @t4360)) % 53.50/53.72 (define @t4374 () (tptp.hAPP @t4187 @t4364)) % 53.50/53.72 (define @t4375 () (tptp.c_Set_OCollect @t2660)) % 53.50/53.72 (define @t4376 () (@list @t305 @t178 @t49 @t8)) % 53.50/53.72 (define @t4377 () (tptp.hAPP @t2197 @t4360)) % 53.50/53.72 (define @t4378 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t8)) % 53.50/53.72 (define @t4379 () (tptp.hAPP @t4378 tptp.c_fNot)) % 53.50/53.72 (define @t4380 () (tptp.hAPP @t4379 @t178)) % 53.50/53.72 (define @t4381 () (tptp.hAPP @t4359 @t4380)) % 53.50/53.72 (define @t4382 () (@list @t178 @t8)) % 53.50/53.72 (define @t4383 () (tptp.c_COMBB @t49 tptp.tc_HOL_Obool @t8)) % 53.50/53.72 (define @t4384 () (tptp.hAPP @t4371 @t178)) % 53.50/53.72 (define @t4385 () (@list @t178 @t2 @t49 @t8)) % 53.50/53.72 (define @t4386 () (tptp.c_COMBK tptp.tc_HOL_Obool @t8)) % 53.50/53.72 (define @t4387 () (tptp.hAPP @t3892 tptp.c_fdisj)) % 53.50/53.72 (define @t4388 () (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t4387 @t178)) @t305))) % 53.50/53.72 (define @t4389 () (tptp.hAPP @t4386 tptp.c_fFalse)) % 53.50/53.72 (define @t4390 () (not @t180)) % 53.50/53.72 (define @t4391 () (forall @t7 @t4390)) % 53.50/53.72 (define @t4392 () (tptp.hAPP @t3892 tptp.c_fimplies)) % 53.50/53.72 (define @t4393 () (@list @t178 @t13 @t8)) % 53.50/53.72 (define @t4394 () (tptp.hAPP @t4359 (tptp.hAPP @t4198 @t2835))) % 53.50/53.72 (define @t4395 () (tptp.hAPP @t487 @t4360)) % 53.50/53.72 (define @t4396 () (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t3893 @t2816)) @t178))) % 53.50/53.72 (define @t4397 () (not @t4362)) % 53.50/53.72 (define @t4398 () (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t3893 @t2804)) @t178))) % 53.50/53.72 (define @t4399 () (tptp.hAPP @t4359 @t2816)) % 53.50/53.72 (define @t4400 () (tptp.c_Relation_Orefl__on @t8 @t88 @t3148)) % 53.50/53.72 (define @t4401 () (@list @t3148 @t88 @t2067 @t25 @t8)) % 53.50/53.72 (define @t4402 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2945)) % 53.50/53.72 (define @t4403 () (tptp.hAPP @t4402 @t2067)) % 53.50/53.72 (define @t4404 () (tptp.hAPP @t4403 @t3148)) % 53.50/53.72 (define @t4405 () (tptp.hAPP @t4194 @t2733)) % 53.50/53.72 (define @t4406 () (tptp.hAPP @t4197 (tptp.hAPP @t3893 @t2735))) % 53.50/53.72 (define @t4407 () (tptp.hAPP @t3403 @t4359)) % 53.50/53.72 (define @t4408 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2668 @t49)) % 53.50/53.72 (define @t4409 () (tptp.hAPP @t4408 tptp.c_fconj)) % 53.50/53.72 (define @t4410 () (tptp.c_COMBS @t49 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4411 () (tptp.hAPP @t4372 (tptp.hAPP (tptp.hAPP @t3441 (tptp.hAPP @t4410 (tptp.hAPP @t4409 (tptp.hAPP @t3447 @t1076)))) @t2733))) % 53.50/53.72 (define @t4412 () (tptp.hBOOL (tptp.hAPP @t346 @t1076))) % 53.50/53.72 (define @t4413 () (tptp.hAPP @t628 @t1067)) % 53.50/53.72 (define @t4414 () (tptp.hAPP @t2963 (tptp.hAPP @t3232 @t13))) % 53.50/53.72 (define @t4415 () (tptp.hBOOL (tptp.hAPP @t4414 @t2067))) % 53.50/53.72 (define @t4416 () (tptp.c_Set_Oimage @t8 @t1685 @t2)) % 53.50/53.72 (define @t4417 () (tptp.tc_fun @t4006 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4418 () (@list @t25 @t2067 @t8)) % 53.50/53.72 (define @t4419 () (tptp.hAPP @t4405 @t3)) % 53.50/53.72 (define @t4420 () (tptp.hAPP (tptp.c_COMBB @t2668 @t2844 @t8) @t4378)) % 53.50/53.72 (define @t4421 () (tptp.hAPP @t2841 (tptp.hAPP @t4420 @t4196))) % 53.50/53.72 (define @t4422 () (tptp.hAPP @t4421 @t2835)) % 53.50/53.72 (define @t4423 () (tptp.tc_fun @t2722 @t29)) % 53.50/53.72 (define @t4424 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 @t4423 @t8) (tptp.c_COMBB @t8 tptp.tc_HOL_Obool @t8)) tptp.c_fequal)) % 53.50/53.72 (define @t4425 () (tptp.hAPP (tptp.c_COMBC @t8 @t2921 @t3059) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4423 (tptp.tc_fun @t2921 @t3059) @t8) (tptp.c_COMBB @t2722 @t29 @t8)) @t4424))) % 53.50/53.72 (define @t4426 () (tptp.tc_fun @t8 @t3894)) % 53.50/53.72 (define @t4427 () (tptp.hAPP (tptp.c_COMBB @t3059 @t4426 @t8) @t3895)) % 53.50/53.72 (define @t4428 () (tptp.hAPP (tptp.c_COMBB @t3894 @t2844 @t8) @t4197)) % 53.50/53.72 (define @t4429 () (tptp.tc_fun @t8 @t2844)) % 53.50/53.72 (define @t4430 () (tptp.hAPP (tptp.c_COMBB @t4426 @t4429 @t8) @t4428)) % 53.50/53.72 (define @t4431 () (tptp.hAPP (tptp.c_COMBB @t4429 (tptp.tc_fun @t3059 @t3059) @t8) (tptp.c_COMBS @t8 @t29 @t29))) % 53.50/53.72 (define @t4432 () (tptp.c_COMBC @t8 @t3059 @t3059)) % 53.50/53.72 (define @t4433 () (tptp.c_HOL_OEx @t8)) % 53.50/53.72 (define @t4434 () (tptp.hAPP @t4184 @t4433)) % 53.50/53.72 (define @t4435 () (tptp.hAPP (tptp.c_COMBB @t3059 @t29 @t8) @t4434)) % 53.50/53.72 (define @t4436 () (tptp.c_Set_OCollect @t29)) % 53.50/53.72 (define @t4437 () (tptp.hAPP @t4436 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t29 @t29 tptp.tc_HOL_Obool) @t71) @t25))) % 53.50/53.72 (define @t4438 () (tptp.c_COMBB @t1048 tptp.tc_HOL_Obool @t29)) % 53.50/53.72 (define @t4439 () (tptp.c_COMBB @t29 tptp.tc_HOL_Obool @t29)) % 53.50/53.72 (define @t4440 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2668 @t29)) % 53.50/53.72 (define @t4441 () (tptp.hAPP @t4440 tptp.c_fconj)) % 53.50/53.72 (define @t4442 () (tptp.tc_fun @t29 @t2668)) % 53.50/53.72 (define @t4443 () (tptp.hAPP (tptp.c_COMBB @t1048 @t4442 @t29) @t4441)) % 53.50/53.72 (define @t4444 () (tptp.c_COMBS @t29 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4445 () (tptp.hAPP (tptp.c_COMBB @t4442 @t4034 @t29) @t4444)) % 53.50/53.72 (define @t4446 () (tptp.c_COMBC @t29 @t1048 @t1048)) % 53.50/53.72 (define @t4447 () (tptp.c_HOL_OEx @t29)) % 53.50/53.72 (define @t4448 () (tptp.tc_fun @t143 @t29)) % 53.50/53.72 (define @t4449 () (tptp.c_COMBB @t29 tptp.tc_HOL_Obool @t49)) % 53.50/53.72 (define @t4450 () (tptp.hAPP @t4449 @t4433)) % 53.50/53.72 (define @t4451 () (tptp.c_COMBC @t49 @t8 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4452 () (tptp.hAPP @t4451 @t305)) % 53.50/53.72 (define @t4453 () (tptp.hBOOL @t3167)) % 53.50/53.72 (define @t4454 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 53.50/53.72 (define @t4455 () (tptp.hAPP @t4454 (tptp.hAPP @t3118 @t178))) % 53.50/53.72 (define @t4456 () (tptp.tc_fun @t49 @t3230)) % 53.50/53.72 (define @t4457 () (tptp.tc_fun @t8 @t3230)) % 53.50/53.72 (define @t4458 () (tptp.tc_fun @t3730 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4459 () (tptp.tc_fun @t8 @t4458)) % 53.50/53.72 (define @t4460 () (tptp.c_Set_OCollect @t2944)) % 53.50/53.72 (define @t4461 () (tptp.hAPP @t844 @t676)) % 53.50/53.72 (define @t4462 () (tptp.hAPP (tptp.c_COMBC @t8 @t2722 @t29) @t4424)) % 53.50/53.72 (define @t4463 () (tptp.hAPP @t4359 (tptp.hAPP @t4434 (tptp.hAPP (tptp.hAPP @t2841 (tptp.hAPP @t4428 (tptp.hAPP @t3895 (tptp.hAPP @t4462 @t4461)))) (tptp.hAPP @t2734 @t1789))))) % 53.50/53.72 (define @t4464 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t8)) % 53.50/53.72 (define @t4465 () (@list @t676 @t1789 @t8)) % 53.50/53.72 (define @t4466 () (tptp.class_Lattices_Odistrib__lattice @t8)) % 53.50/53.72 (define @t4467 () (tptp.hAPP (tptp.hAPP @t3462 (tptp.hAPP @t4187 @t4196)) @t4228)) % 53.50/53.72 (define @t4468 () (tptp.hAPP @t2866 (tptp.hAPP @t1599 @t35))) % 53.50/53.72 (define @t4469 () (tptp.c_Set_OCollect @t2850)) % 53.50/53.72 (define @t4470 () (tptp.c_Int_Oint__ge__less__than2 @t35)) % 53.50/53.72 (define @t4471 () (@list @t35)) % 53.50/53.72 (define @t4472 () (tptp.c_Int_Oint__ge__less__than @t35)) % 53.50/53.72 (define @t4473 () (tptp.hAPP @t4460 (tptp.hAPP @t3896 @t2067))) % 53.50/53.72 (define @t4474 () (tptp.c_Predicate_Oreflp @t8 @t2067)) % 53.50/53.72 (define @t4475 () (tptp.tc_fun @t1685 @t1685)) % 53.50/53.72 (define @t4476 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3078 @t3078) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4475 (tptp.tc_fun @t3078 @t3078) @t8) (tptp.c_COMBB @t1685 @t1685 @t49)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1685 @t4475 @t8) @t4300) @t2))) @t1)) % 53.50/53.72 (define @t4477 () (tptp.tc_fun @t3078 @t80)) % 53.50/53.72 (define @t4478 () (tptp.tc_fun @t8 @t3078)) % 53.50/53.72 (define @t4479 () (tptp.tc_fun @t49 @t2668)) % 53.50/53.72 (define @t4480 () (tptp.tc_fun @t8 @t4479)) % 53.50/53.72 (define @t4481 () (tptp.tc_fun @t8 @t3459)) % 53.50/53.72 (define @t4482 () (tptp.c_HOL_OEx @t49)) % 53.50/53.72 (define @t4483 () (tptp.c_COMBB @t80 tptp.tc_HOL_Obool @t8)) % 53.50/53.72 (define @t4484 () (tptp.hAPP @t4483 @t4482)) % 53.50/53.72 (define @t4485 () (tptp.c_Fun_Oid @t8)) % 53.50/53.72 (define @t4486 () (tptp.c_Fun_Oid @t98)) % 53.50/53.72 (define @t4487 () (@var "V_x_1" $$unsorted)) % 53.50/53.72 (define @t4488 () (tptp.hAPP @t2067 @t48)) % 53.50/53.72 (define @t4489 () (tptp.c_Fun_Oid @t2660)) % 53.50/53.72 (define @t4490 () (tptp.c_Fun_Oid @t49)) % 53.50/53.72 (define @t4491 () (@list @t8 @t49)) % 53.50/53.72 (define @t4492 () (tptp.c_Set_Oimage @t8 @t8 @t4485)) % 53.50/53.72 (define @t4493 () (@list @t88 @t2 @t8 @t49)) % 53.50/53.72 (define @t4494 () (tptp.tc_prod @t1685 @t49)) % 53.50/53.72 (define @t4495 () (tptp.c_member @t4494)) % 53.50/53.72 (define @t4496 () (tptp.tc_fun @t4494 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4497 () (tptp.tc_fun @t4496 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4498 () (tptp.tc_fun @t1685 @t4497)) % 53.50/53.72 (define @t4499 () (tptp.c_member @t4321)) % 53.50/53.72 (define @t4500 () (tptp.tc_fun @t4322 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4501 () (tptp.tc_fun @t1685 @t4500)) % 53.50/53.72 (define @t4502 () (tptp.tc_fun @t1685 @t2668)) % 53.50/53.72 (define @t4503 () (tptp.c_Relation_Orel__comp @t8 @t1685 @t49)) % 53.50/53.72 (define @t4504 () (tptp.hAPP (tptp.hAPP @t4503 @t2067) @t3148)) % 53.50/53.72 (define @t4505 () (tptp.hAPP @t4451 @t178)) % 53.50/53.72 (define @t4506 () (tptp.hAPP (tptp.c_Set_OCollect @t4005) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t49 @t8 tptp.tc_HOL_Obool) @t178))) % 53.50/53.72 (define @t4507 () (tptp.c_Relation_ORange @t49 @t8)) % 53.50/53.72 (define @t4508 () (@list @t178 @t8 @t49)) % 53.50/53.72 (define @t4509 () (tptp.c_Relation_Orel__comp @t8 @t49 @t1685)) % 53.50/53.72 (define @t4510 () (tptp.hAPP (tptp.hAPP @t4509 @t2067) @t3148)) % 53.50/53.72 (define @t4511 () (tptp.hAPP (tptp.c_Relation_ORange @t8 @t49) @t2067)) % 53.50/53.72 (define @t4512 () (@list @t2067 @t33 @t13 @t49 @t8)) % 53.50/53.72 (define @t4513 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3082 @t2661) @t3365)) % 53.50/53.72 (define @t4514 () (tptp.hAPP @t4503 @t3148)) % 53.50/53.72 (define @t4515 () (@var "V_s_H_2" $$unsorted)) % 53.50/53.72 (define @t4516 () (tptp.c_Orderings_Oord__class_Oless__eq @t4322)) % 53.50/53.72 (define @t4517 () (tptp.c_Orderings_Oord__class_Oless__eq @t3428)) % 53.50/53.72 (define @t4518 () (tptp.hAPP @t4503 @t2733)) % 53.50/53.72 (define @t4519 () (@list @t2733 @t49 @t1685 @t8)) % 53.50/53.72 (define @t4520 () (tptp.c_Relation_ORange @t8 @t8)) % 53.50/53.72 (define @t4521 () (tptp.c_Relation_Orel__comp @t8 @t8 @t8)) % 53.50/53.72 (define @t4522 () (tptp.hAPP @t4521 @t25)) % 53.50/53.72 (define @t4523 () (= (tptp.hAPP @t4522 @t171) @t2947)) % 53.50/53.72 (define @t4524 () (tptp.c_Orderings_Obot__class_Obot @t4006)) % 53.50/53.72 (define @t4525 () (tptp.hAPP @t4507 @t2067)) % 53.50/53.72 (define @t4526 () (@list @t2067 @t8 @t49)) % 53.50/53.72 (define @t4527 () (tptp.hAPP @t4507 @t88)) % 53.50/53.72 (define @t4528 () (tptp.hAPP @t4507 @t25)) % 53.50/53.72 (define @t4529 () (tptp.hBOOL (tptp.hAPP @t2663 @t2067))) % 53.50/53.72 (define @t4530 () (@list @t2067 @t49 @t8)) % 53.50/53.72 (define @t4531 () (@list @t2067 @t49 @t13 @t8)) % 53.50/53.72 (define @t4532 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4006)) % 53.50/53.72 (define @t4533 () (tptp.tc_fun @t3237 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4534 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3237) (tptp.hAPP (tptp.hAPP @t3236 @t30) @t30)) (tptp.c_Orderings_Obot__class_Obot @t4533))) % 53.50/53.72 (define @t4535 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4533)) % 53.50/53.72 (define @t4536 () (tptp.c_Relation_Orel__comp @t29 @t29 @t29)) % 53.50/53.72 (define @t4537 () (tptp.c_Orderings_Oord__class_Oless__eq @t4533)) % 53.50/53.72 (define @t4538 () (tptp.hAPP @t4521 @t2733)) % 53.50/53.72 (define @t4539 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 (tptp.hAPP @t4538 @t1067)) @t2733))) % 53.50/53.72 (define @t4540 () (tptp.c_Wellfounded_Omin__ext @t8 @t2733)) % 53.50/53.72 (define @t4541 () (tptp.hAPP @t2765 @t2067)) % 53.50/53.72 (define @t4542 () (tptp.c_Predicate_Opred__comp @t8 @t49 @t1685 @t2067 @t3148)) % 53.50/53.72 (define @t4543 () (tptp.c_Predicate_ORangeP @t8 @t49 @t2067)) % 53.50/53.72 (define @t4544 () (@list @t49 @t8 @t33 @t13 @t2067)) % 53.50/53.72 (define @t4545 () (tptp.hAPP @t2067 @t406)) % 53.50/53.72 (define @t4546 () (tptp.c_Wellfounded_Owf @t8 @t2733)) % 53.50/53.72 (define @t4547 () (tptp.c_Relation_ODomain @t8 @t49)) % 53.50/53.72 (define @t4548 () (tptp.hAPP (tptp.hAPP @t3729 @t2067) @t2)) % 53.50/53.72 (define @t4549 () (tptp.c_Wellfounded_Owf @t8 @t2067)) % 53.50/53.72 (define @t4550 () (@list @t2 @t49 @t2067 @t8)) % 53.50/53.72 (define @t4551 () (@var "V_rb_2" $$unsorted)) % 53.50/53.72 (define @t4552 () (@var "V_ra_2" $$unsorted)) % 53.50/53.72 (define @t4553 () (tptp.hAPP @t4547 @t2067)) % 53.50/53.72 (define @t4554 () (tptp.hBOOL (tptp.hAPP @t117 @t4553))) % 53.50/53.72 (define @t4555 () (tptp.hAPP @t4538 @t2733)) % 53.50/53.72 (define @t4556 () (@list @t2671 @t2067 @t8)) % 53.50/53.72 (define @t4557 () (@list @t4003 @t2067 @t8)) % 53.50/53.72 (define @t4558 () (tptp.c_Relation_ODomain @t8 @t8)) % 53.50/53.72 (define @t4559 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4560 () (tptp.c_Set_OCollect @t3113)) % 53.50/53.72 (define @t4561 () (tptp.hAPP @t4558 @t2067)) % 53.50/53.72 (define @t4562 () (tptp.hAPP @t3831 @t2733)) % 53.50/53.72 (define @t4563 () (tptp.hAPP @t4562 @t1067)) % 53.50/53.72 (define @t4564 () (tptp.c_Wellfounded_Owf @t8 @t4563)) % 53.50/53.72 (define @t4565 () (tptp.hBOOL (tptp.hAPP @t4282 @t3148))) % 53.50/53.72 (define @t4566 () (@list @t3148 @t2067 @t49 @t8)) % 53.50/53.72 (define @t4567 () (tptp.hAPP @t4547 @t88)) % 53.50/53.72 (define @t4568 () (tptp.hAPP @t4547 @t25)) % 53.50/53.72 (define @t4569 () (@list @t2733 @t49 @t8)) % 53.50/53.72 (define @t4570 () (tptp.c_Relation_OImage @t8 @t8 @t2733)) % 53.50/53.72 (define @t4571 () (tptp.c_Wellfounded_Owf @t8 @t1067)) % 53.50/53.72 (define @t4572 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2742 (tptp.hAPP @t3037 @t429)) @t2067))) % 53.50/53.72 (define @t4573 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t2945 @t2945) @t178)) % 53.50/53.72 (define @t4574 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t2945 @t2945) @t178)) % 53.50/53.72 (define @t4575 () (tptp.hAPP @t2946 @t1067)) % 53.50/53.72 (define @t4576 () (tptp.hAPP @t2946 @t2733)) % 53.50/53.72 (define @t4577 () (tptp.hAPP @t4520 @t2067)) % 53.50/53.72 (define @t4578 () (tptp.c_List_Olenlex @t8 @t2067)) % 53.50/53.72 (define @t4579 () (tptp.tc_List_Olist @t8)) % 53.50/53.72 (define @t4580 () (tptp.c_Predicate_ODomainP @t8 @t49 @t2067)) % 53.50/53.72 (define @t4581 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2858 tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t4582 () (tptp.c_List_Olex @t8 @t2067)) % 53.50/53.72 (define @t4583 () (tptp.c_List_Olexn @t8 @t2067)) % 53.50/53.72 (define @t4584 () (tptp.hAPP @t4583 @t672)) % 53.50/53.72 (define @t4585 () (@list @t672 @t2067 @t8)) % 53.50/53.72 (define @t4586 () (tptp.tc_prod @t4579 @t4579)) % 53.50/53.72 (define @t4587 () (tptp.tc_fun @t4586 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4588 () (tptp.c_Wellfounded_OwfP @t8 @t2067)) % 53.50/53.72 (define @t4589 () (tptp.c_Wellfounded_Oacyclic @t8 @t4473)) % 53.50/53.72 (define @t4590 () (tptp.hAPP @t2963 @t3)) % 53.50/53.72 (define @t4591 () (tptp.hBOOL (tptp.hAPP @t4590 @t2067))) % 53.50/53.72 (define @t4592 () (tptp.hBOOL (tptp.hAPP @t181 @t30))) % 53.50/53.72 (define @t4593 () (tptp.c_Wellfounded_Oacyclic @t8 @t2067)) % 53.50/53.72 (define @t4594 () (tptp.hBOOL @t3367)) % 53.50/53.72 (define @t4595 () (@list @t2067 @t3148 @t8)) % 53.50/53.72 (define @t4596 () (tptp.hAPP @t3447 @t25)) % 53.50/53.72 (define @t4597 () (tptp.hAPP @t3441 (tptp.hAPP @t4410 (tptp.hAPP (tptp.hAPP @t4408 tptp.c_fimplies) @t4596)))) % 53.50/53.72 (define @t4598 () (tptp.hAPP @t4483 (tptp.c_HOL_OAll @t49))) % 53.50/53.72 (define @t4599 () (tptp.tc_fun @t3397 @t80)) % 53.50/53.72 (define @t4600 () (tptp.hAPP @t4033 (tptp.hAPP @t4197 (tptp.hAPP @t4392 @t2834)))) % 53.50/53.72 (define @t4601 () (tptp.hAPP @t4184 (tptp.c_HOL_OAll @t8))) % 53.50/53.72 (define @t4602 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t429)) % 53.50/53.72 (define @t4603 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4139 @t429) tptp.c_Int_OInteg))) % 53.50/53.72 (define @t4604 () (@list @t48 @t178)) % 53.50/53.72 (define @t4605 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t29 @t1048 tptp.tc_HOL_Obool) @t1045) @t25)) % 53.50/53.72 (define @t4606 () (tptp.c_COMBB @t1048 @t1048 @t8)) % 53.50/53.72 (define @t4607 () (tptp.c_COMBB @t1048 tptp.tc_HOL_Obool @t8)) % 53.50/53.72 (define @t4608 () (tptp.hAPP @t2067 @t1327)) % 53.50/53.72 (define @t4609 () (tptp.hAPP @t2067 @t1415)) % 53.50/53.72 (define @t4610 () (tptp.hAPP @t3907 @t79)) % 53.50/53.72 (define @t4611 () (tptp.c_Fun_Ocomp @t49 @t49 @t8 @t4490)) % 53.50/53.72 (define @t4612 () (tptp.hAPP @t13 (tptp.hAPP @t33 @t1088))) % 53.50/53.72 (define @t4613 () (= @t4612 (tptp.hAPP @t32 @t1088))) % 53.50/53.72 (define @t4614 () (tptp.hAPP (tptp.c_Fun_Ocomp @t1685 @t49 @t8 @t13) @t33)) % 53.50/53.72 (define @t4615 () (@list @t1088 @t32 @t33 @t13 @t8 @t49 @t1685)) % 53.50/53.72 (define @t4616 () (@var "B_v" $$unsorted)) % 53.50/53.72 (define @t4617 () (= @t4614 (tptp.hAPP (tptp.c_Fun_Ocomp @t3082 @t49 @t8 @t32) @t35))) % 53.50/53.72 (define @t4618 () (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t8 @t1685 @t2) @t1)) % 53.50/53.72 (define @t4619 () (tptp.hAPP @t4618 @t48)) % 53.50/53.72 (define @t4620 () (tptp.hAPP (tptp.c_Fun_Ocomp @t1685 @t49 @t3082 @t2) @t1)) % 53.50/53.72 (define @t4621 () (tptp.c_Fun_Ocomp @t1685 @t49 @t8 @t2)) % 53.50/53.72 (define @t4622 () (tptp.c_Fun_Ocomp @t49 @t49 @t49 @t94)) % 53.50/53.72 (define @t4623 () (= (tptp.hAPP @t4622 @t94) @t94)) % 53.50/53.72 (define @t4624 () (@var "V_x_H_2" $$unsorted)) % 53.50/53.72 (define @t4625 () (@var "V_g_H_2" $$unsorted)) % 53.50/53.72 (define @t4626 () (@var "V_f_H_2" $$unsorted)) % 53.50/53.72 (define @t4627 () (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t49 @t49 @t643) @t94)) % 53.50/53.72 (define @t4628 () (tptp.hAPP @t4622 @t643)) % 53.50/53.72 (define @t4629 () (tptp.hAPP @t4621 @t1)) % 53.50/53.72 (define @t4630 () (tptp.hAPP (tptp.c_Fun_Ocomp @t1685 @t49 @t8 @t1) @t2)) % 53.50/53.72 (define @t4631 () (@var "T_g" $$unsorted)) % 53.50/53.72 (define @t4632 () (tptp.tc_prod @t3080 @t4631)) % 53.50/53.72 (define @t4633 () (@var "V_g2_2" $$unsorted)) % 53.50/53.72 (define @t4634 () (@var "V_g1_2" $$unsorted)) % 53.50/53.72 (define @t4635 () (@var "V_prod_2" $$unsorted)) % 53.50/53.72 (define @t4636 () (tptp.c_Fun_Ocomp @t8 @t1685 @t49 @t1)) % 53.50/53.72 (define @t4637 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t49 @t1685 @t2) @t1)) % 53.50/53.72 (define @t4638 () (tptp.c_Fun_Ocomp @t49 @t1685 @t8 @t1)) % 53.50/53.72 (define @t4639 () (tptp.hAPP @t4638 @t2)) % 53.50/53.72 (define @t4640 () (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t1685 @t8 @t4626) @t2)) % 53.50/53.72 (define @t4641 () (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t1685 @t8 @t1153) @t2)) % 53.50/53.72 (define @t4642 () (tptp.hAPP @t4314 @t4641)) % 53.50/53.72 (define @t4643 () (tptp.hAPP @t4312 @t1153)) % 53.50/53.72 (define @t4644 () (@list @t1153 @t88 @t2 @t49 @t8 @t1685)) % 53.50/53.72 (define @t4645 () (tptp.hAPP @t4308 @t1153)) % 53.50/53.72 (define @t4646 () (= (tptp.hAPP @t4645 @t88) (tptp.hAPP (tptp.hAPP @t4310 @t1) @t25))) % 53.50/53.72 (define @t4647 () (= @t88 @t3862)) % 53.50/53.72 (define @t4648 () (@list @t1153 @t1 @t88 @t25 @t2 @t49 @t8 @t1685)) % 53.50/53.72 (define @t4649 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t49 @t8 @t1) @t1153)) % 53.50/53.72 (define @t4650 () (tptp.hAPP @t3948 @t25)) % 53.50/53.72 (define @t4651 () (tptp.c_Fun_Oinj__on @t8 @t8 @t1153 @t25)) % 53.50/53.72 (define @t4652 () (@list @t1 @t1153 @t25 @t8 @t49)) % 53.50/53.72 (define @t4653 () (tptp.hAPP (tptp.c_Set_Oimage @t1685 @t8 @t1) @t25)) % 53.50/53.72 (define @t4654 () (tptp.hBOOL (tptp.hAPP @t344 (tptp.hAPP @t3860 @t4653)))) % 53.50/53.72 (define @t4655 () (tptp.c_Fun_Oinj__on @t1685 @t8 @t1 @t25)) % 53.50/53.72 (define @t4656 () (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t4653)) % 53.50/53.72 (define @t4657 () (@list @t48 @t25 @t1 @t1685 @t2 @t49 @t8)) % 53.50/53.72 (define @t4658 () (tptp.hAPP @t4301 @t1)) % 53.50/53.72 (define @t4659 () (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t49 @t49 @t329) @t94)) % 53.50/53.72 (define @t4660 () (tptp.c_Finite__Set_Ofolding @t8 @t49 @t2 @t64)) % 53.50/53.72 (define @t4661 () (@list @t48 @t25 @t64 @t2 @t49 @t8)) % 53.50/53.72 (define @t4662 () (tptp.c_Finite__Set_Ofolding__image @t8 @t49 @t2 @t79 @t64)) % 53.50/53.72 (define @t4663 () (tptp.c_Fun_Ocomp @t49 @t49 @t49 @t331)) % 53.50/53.72 (define @t4664 () (tptp.hAPP @t4663 @t446)) % 53.50/53.72 (define @t4665 () (= @t448 @t4664)) % 53.50/53.72 (define @t4666 () (@list @t88 @t25 @t64 @t2 @t49 @t8)) % 53.50/53.72 (define @t4667 () (tptp.c_Fun_Ocomp @t49 @t49 @t1685 @t643)) % 53.50/53.72 (define @t4668 () (tptp.c_Fun_Ocomp @t49 @t49 @t1685 @t94)) % 53.50/53.72 (define @t4669 () (tptp.hAPP @t4668 @t1)) % 53.50/53.72 (define @t4670 () (tptp.tc_prod @t3082 @t1685)) % 53.50/53.72 (define @t4671 () (tptp.hAPP (tptp.hAPP @t64 @t1153) @t25)) % 53.50/53.72 (define @t4672 () (@list @t1153 @t1 @t25 @t64 @t79 @t2 @t49 @t8)) % 53.50/53.72 (define @t4673 () (tptp.hAPP @t4663 @t94)) % 53.50/53.72 (define @t4674 () (tptp.c_Fun_Ocomp @t49 @t49 @t1685 @t331)) % 53.50/53.72 (define @t4675 () (tptp.hAPP @t4674 @t1)) % 53.50/53.72 (define @t4676 () (tptp.c_Fun_Ocomp @t49 @t49 @t1685 @t446)) % 53.50/53.72 (define @t4677 () (= @t356 @t4673)) % 53.50/53.72 (define @t4678 () (tptp.hAPP @t3860 @t1067)) % 53.50/53.72 (define @t4679 () (= @t3 @t429)) % 53.50/53.72 (define @t4680 () (tptp.c_Finite__Set_Ofolding__idem @t8 @t49 @t2 @t64)) % 53.50/53.72 (define @t4681 () (@var "B_P" $$unsorted)) % 53.50/53.72 (define @t4682 () (tptp.c_Hilbert__Choice_OEps @t8 @t178)) % 53.50/53.72 (define @t4683 () (tptp.hBOOL (tptp.hAPP @t178 @t4682))) % 53.50/53.72 (define @t4684 () (tptp.hAPP @t2815 @t48)) % 53.50/53.72 (define @t4685 () (@list @t8 @t178)) % 53.50/53.72 (define @t4686 () (tptp.c_Wellfounded_Oacc @t8 @t2733)) % 53.50/53.72 (define @t4687 () (tptp.hAPP @t2960 @t1529)) % 53.50/53.72 (define @t4688 () (@list @t2733 @t48 @t8)) % 53.50/53.72 (define @t4689 () (tptp.hAPP @t2960 @t429)) % 53.50/53.72 (define @t4690 () (tptp.hAPP (tptp.hAPP @t2078 @t676) @t2061)) % 53.50/53.72 (define @t4691 () (tptp.hAPP (tptp.c_Random_Oiterate @t49 @t8 @t676 @t2) @t48)) % 53.50/53.72 (define @t4692 () (= @t676 @t2077)) % 53.50/53.72 (define @t4693 () (not @t4692)) % 53.50/53.72 (define @t4694 () (@list @t48 @t2 @t8 @t49 @t676)) % 53.50/53.72 (define @t4695 () (tptp.tc_fun @t4631 @t49)) % 53.50/53.72 (define @t4696 () (tptp.tc_fun @t3082 @t49)) % 53.50/53.72 (define @t4697 () (tptp.tc_fun @t1685 @t4696)) % 53.50/53.72 (define @t4698 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t49 @t1685 @t3082 @t8) @t2) @t1) @t48)) % 53.50/53.72 (define @t4699 () (@list @t48 @t1 @t2 @t8 @t3082 @t1685 @t49)) % 53.50/53.72 (define @t4700 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 53.50/53.72 (define @t4701 () (tptp.hAPP @t3528 (tptp.hAPP @t4028 @t672))) % 53.50/53.72 (define @t4702 () (@var "B_Q" $$unsorted)) % 53.50/53.72 (define @t4703 () (tptp.hAPP @t2963 (tptp.hAPP @t4689 @t3))) % 53.50/53.72 (define @t4704 () (tptp.hBOOL (tptp.hAPP @t4703 @t2067))) % 53.50/53.72 (define @t4705 () (tptp.hBOOL (tptp.hAPP @t181 @t4702))) % 53.50/53.72 (define @t4706 () (tptp.c_Transitive__Closure_Otrancl @t8 @t2067)) % 53.50/53.72 (define @t4707 () (tptp.c_Wellfounded_Owf @t8 @t4706)) % 53.50/53.72 (define @t4708 () (forall @t7 (not (tptp.hBOOL (tptp.hAPP @t2964 @t4706))))) % 53.50/53.72 (define @t4709 () (tptp.hBOOL (tptp.hAPP @t3899 @t4706))) % 53.50/53.72 (define @t4710 () (tptp.hAPP @t2946 @t4706)) % 53.50/53.72 (define @t4711 () (tptp.hAPP @t2963 @t2671)) % 53.50/53.72 (define @t4712 () (tptp.hBOOL (tptp.hAPP @t4711 @t4706))) % 53.50/53.72 (define @t4713 () (tptp.hBOOL (tptp.hAPP @t4711 @t2067))) % 53.50/53.72 (define @t4714 () (@list @t2067 @t2671 @t8)) % 53.50/53.72 (define @t4715 () (tptp.hAPP @t2963 (tptp.hAPP @t3232 @t32))) % 53.50/53.72 (define @t4716 () (tptp.hBOOL (tptp.hAPP @t4715 @t4706))) % 53.50/53.72 (define @t4717 () (tptp.hAPP @t2960 @t33)) % 53.50/53.72 (define @t4718 () (tptp.hAPP @t2963 (tptp.hAPP @t4717 @t32))) % 53.50/53.72 (define @t4719 () (=> (tptp.hBOOL (tptp.hAPP @t4718 @t4706)) @t4716)) % 53.50/53.72 (define @t4720 () (@list @t32 @t2067 @t33 @t13 @t8)) % 53.50/53.72 (define @t4721 () (tptp.hBOOL (tptp.hAPP @t4718 @t2067))) % 53.50/53.72 (define @t4722 () (=> @t4721 @t4716)) % 53.50/53.72 (define @t4723 () (tptp.c_Transitive__Closure_Otrancl @t8 @t2733)) % 53.50/53.72 (define @t4724 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t2067)) % 53.50/53.72 (define @t4725 () (tptp.hAPP @t3831 @t4706)) % 53.50/53.72 (define @t4726 () (tptp.hAPP @t4088 @t48)) % 53.50/53.72 (define @t4727 () (tptp.hAPP (tptp.hAPP @t3821 @t4726) @t2067)) % 53.50/53.72 (define @t4728 () (@list @t2067 @t48 @t57 @t8)) % 53.50/53.72 (define @t4729 () (tptp.c_Relation_OId @t8)) % 53.50/53.72 (define @t4730 () (tptp.hAPP @t3832 @t4729)) % 53.50/53.72 (define @t4731 () (@list @t57 @t48 @t2067 @t8)) % 53.50/53.72 (define @t4732 () (tptp.hBOOL (tptp.hAPP @t3899 @t4724))) % 53.50/53.72 (define @t4733 () (tptp.hAPP (tptp.hAPP @t4521 @t4724) @t2067)) % 53.50/53.72 (define @t4734 () (tptp.hAPP @t4521 @t2067)) % 53.50/53.72 (define @t4735 () (tptp.hAPP @t4734 @t4724)) % 53.50/53.72 (define @t4736 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t2733)) % 53.50/53.72 (define @t4737 () (tptp.hBOOL (tptp.hAPP @t4715 @t4724))) % 53.50/53.72 (define @t4738 () (tptp.hBOOL (tptp.hAPP @t4718 @t4724))) % 53.50/53.72 (define @t4739 () (=> @t4738 @t4737)) % 53.50/53.72 (define @t4740 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t2945) @t2067) @t4729)) % 53.50/53.72 (define @t4741 () (tptp.hAPP @t3831 @t4736)) % 53.50/53.72 (define @t4742 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t4563)) % 53.50/53.72 (define @t4743 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t1067)) % 53.50/53.72 (define @t4744 () (tptp.hAPP @t4741 @t4743)) % 53.50/53.72 (define @t4745 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t3148)) % 53.50/53.72 (define @t4746 () (tptp.hAPP @t2946 @t4724)) % 53.50/53.72 (define @t4747 () (tptp.hBOOL (tptp.hAPP @t4746 @t4745))) % 53.50/53.72 (define @t4748 () (tptp.hAPP @t2963 @t48)) % 53.50/53.72 (define @t4749 () (tptp.hAPP @t2963 (tptp.hAPP @t3143 @t79))) % 53.50/53.72 (define @t4750 () (tptp.hBOOL (tptp.hAPP @t3144 @t4724))) % 53.50/53.72 (define @t4751 () (@list @t79 @t2067 @t57 @t48 @t8)) % 53.50/53.72 (define @t4752 () (=> @t4738 @t4716)) % 53.50/53.72 (define @t4753 () (tptp.hBOOL (tptp.hAPP @t3144 @t4723))) % 53.50/53.72 (define @t4754 () (tptp.hBOOL (tptp.hAPP @t3144 @t4736))) % 53.50/53.72 (define @t4755 () (@list @t2733 @t57 @t48 @t8)) % 53.50/53.72 (define @t4756 () (tptp.hAPP @t2963 (tptp.hAPP @t4717 @t13))) % 53.50/53.72 (define @t4757 () (tptp.hBOOL (tptp.hAPP @t4756 @t4724))) % 53.50/53.72 (define @t4758 () (not @t4750)) % 53.50/53.72 (define @t4759 () (tptp.hAPP @t2963 (tptp.hAPP @t3143 @t48))) % 53.50/53.72 (define @t4760 () (tptp.c_Relation_Oconverse @t8 @t8)) % 53.50/53.72 (define @t4761 () (tptp.hAPP @t4760 @t2067)) % 53.50/53.72 (define @t4762 () (forall @t1419 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2960 (tptp.hAPP @t2 @t2672)) @t1899)) @t4724)))) % 53.50/53.72 (define @t4763 () (tptp.c_Relation_Ototal__on @t8 @t25 @t2067)) % 53.50/53.72 (define @t4764 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t4761)) % 53.50/53.72 (define @t4765 () (tptp.c_Relation_Oconverse @t49 @t8)) % 53.50/53.72 (define @t4766 () (tptp.hAPP @t4765 @t2067)) % 53.50/53.72 (define @t4767 () (tptp.hAPP (tptp.c_Relation_Oconverse @t8 @t49) @t2067)) % 53.50/53.72 (define @t4768 () (tptp.hAPP @t4765 @t3148)) % 53.50/53.72 (define @t4769 () (@list @t3148 @t2067 @t8 @t49)) % 53.50/53.72 (define @t4770 () (@list @t3148 @t2067 @t1685 @t8 @t49)) % 53.50/53.72 (define @t4771 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4006 @t2661 @t1685) @t4765) @t2067)) % 53.50/53.72 (define @t4772 () (@list @t2067 @t1067 @t1685 @t8 @t49)) % 53.50/53.72 (define @t4773 () (tptp.hAPP @t4013 (tptp.hAPP (tptp.hAPP @t3162 @t33) @t13))) % 53.50/53.72 (define @t4774 () (tptp.hBOOL (tptp.hAPP @t4773 @t2067))) % 53.50/53.72 (define @t4775 () (tptp.hBOOL (tptp.hAPP @t3908 @t4766))) % 53.50/53.72 (define @t4776 () (tptp.hAPP @t4760 @t4706)) % 53.50/53.72 (define @t4777 () (tptp.c_Transitive__Closure_Otrancl @t8 @t4761)) % 53.50/53.72 (define @t4778 () (tptp.c_Wellfounded_Owf @t8 @t4761)) % 53.50/53.72 (define @t4779 () (tptp.hAPP (tptp.hAPP @t4521 @t4761) @t2067)) % 53.50/53.72 (define @t4780 () (= @t4779 @t2067)) % 53.50/53.72 (define @t4781 () (tptp.hAPP @t4547 @t4766)) % 53.50/53.72 (define @t4782 () (tptp.hBOOL (tptp.hAPP @t3144 @t4764))) % 53.50/53.72 (define @t4783 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 @t4726) @t4724))) % 53.50/53.72 (define @t4784 () (@list @t2067 @t57 @t48 @t8)) % 53.50/53.72 (define @t4785 () (tptp.hBOOL (tptp.hAPP @t3144 @t4777))) % 53.50/53.72 (define @t4786 () (tptp.hBOOL (tptp.hAPP @t3144 @t4776))) % 53.50/53.72 (define @t4787 () (tptp.tc_fun @t49 @t4417)) % 53.50/53.72 (define @t4788 () (tptp.c_Nat_Ocompow @t2944 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4789 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t2945) @t3220) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t2945 @t2945) @t4788) @t2733))) % 53.50/53.72 (define @t4790 () (tptp.hBOOL (tptp.hAPP @t4711 @t4736))) % 53.50/53.72 (define @t4791 () (@list @t2733 @t2671 @t8)) % 53.50/53.72 (define @t4792 () (tptp.hAPP (tptp.hAPP @t4788 @t672) @t2733)) % 53.50/53.72 (define @t4793 () (@list @t672 @t2733 @t8)) % 53.50/53.72 (define @t4794 () (tptp.hAPP (tptp.hAPP @t4521 @t4792) @t2733)) % 53.50/53.72 (define @t4795 () (tptp.c_Relation_Osingle__valued @t8 @t49 @t2067)) % 53.50/53.72 (define @t4796 () (@list @t2733 @t672 @t8)) % 53.50/53.72 (define @t4797 () (tptp.c_Nat_Ocompow @t8 @t8)) % 53.50/53.72 (define @t4798 () (tptp.hAPP @t4797 @t672)) % 53.50/53.72 (define @t4799 () (tptp.hAPP @t4798 @t2)) % 53.50/53.72 (define @t4800 () (tptp.hAPP (tptp.hAPP @t4797 @t673) @t2)) % 53.50/53.72 (define @t4801 () (tptp.hBOOL (tptp.hAPP @t4711 (tptp.hAPP (tptp.hAPP @t4788 @t1876) @t2733)))) % 53.50/53.72 (define @t4802 () (tptp.hAPP (tptp.hAPP @t4788 @t692) @t2733)) % 53.50/53.72 (define @t4803 () (tptp.hAPP (tptp.hAPP @t4788 @t1157) @t2733)) % 53.50/53.72 (define @t4804 () (tptp.hBOOL (tptp.hAPP @t4749 @t4802))) % 53.50/53.72 (define @t4805 () (tptp.hAPP @t4317 @t1529)) % 53.50/53.72 (define @t4806 () (@list @t79 @t57 @t48 @t2067 @t8)) % 53.50/53.72 (define @t4807 () (tptp.hAPP @t2963 (tptp.hAPP @t4689 @t79))) % 53.50/53.72 (define @t4808 () (not (tptp.hBOOL (tptp.hAPP @t4807 @t2733)))) % 53.50/53.72 (define @t4809 () (tptp.hAPP (tptp.hAPP @t4788 @t1324) @t2733)) % 53.50/53.72 (define @t4810 () (tptp.hAPP @t2963 (tptp.hAPP @t3143 @t429))) % 53.50/53.72 (define @t4811 () (@list @t429 @t1324)) % 53.50/53.72 (define @t4812 () (=> @t1207 (not @t419))) % 53.50/53.72 (define @t4813 () (tptp.hBOOL (tptp.hAPP @t4749 @t4792))) % 53.50/53.72 (define @t4814 () (@list @t2733 @t672 @t79 @t48 @t8)) % 53.50/53.72 (define @t4815 () (tptp.hBOOL (tptp.hAPP @t4810 @t2733))) % 53.50/53.72 (define @t4816 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t178)) % 53.50/53.72 (define @t4817 () (tptp.hBOOL (tptp.hAPP @t3899 @t4816))) % 53.50/53.72 (define @t4818 () (tptp.hBOOL (tptp.hAPP @t3899 (tptp.c_Transitive__Closure_Ortrancl @t8 (tptp.hAPP (tptp.hAPP @t3831 @t178) @t305))))) % 53.50/53.72 (define @t4819 () (@list @t305 @t178 @t33 @t13 @t8)) % 53.50/53.72 (define @t4820 () (tptp.hBOOL (tptp.hAPP @t4807 @t4792))) % 53.50/53.72 (define @t4821 () (tptp.hAPP @t2963 (tptp.hAPP @t4687 @t57))) % 53.50/53.72 (define @t4822 () (tptp.hAPP @t2963 (tptp.hAPP @t3143 @t1529))) % 53.50/53.72 (define @t4823 () (@var "V_P_H_2" $$unsorted)) % 53.50/53.72 (define @t4824 () (tptp.hBOOL @t3289)) % 53.50/53.72 (define @t4825 () (@var "V_xz_2" $$unsorted)) % 53.50/53.72 (define @t4826 () (@var "V_yx_2" $$unsorted)) % 53.50/53.72 (define @t4827 () (tptp.c_Nitpick_Odenom @t8)) % 53.50/53.72 (define @t4828 () (tptp.hAPP @t4827 @t2067)) % 53.50/53.72 (define @t4829 () (tptp.hAPP @t2966 @t2195)) % 53.50/53.72 (define @t4830 () (tptp.c_Nitpick_Onum @t8)) % 53.50/53.72 (define @t4831 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 53.50/53.72 (define @t4832 () (tptp.hAPP @t4827 @t2505)) % 53.50/53.72 (define @t4833 () (@list @t2067 @t2505 @t8)) % 53.50/53.72 (define @t4834 () (tptp.c_Nitpick_Odenom @t98)) % 53.50/53.72 (define @t4835 () (tptp.hAPP @t4834 @t1801)) % 53.50/53.72 (define @t4836 () (tptp.c_Nitpick_Onum @t98)) % 53.50/53.72 (define @t4837 () (tptp.hAPP @t4836 @t1801)) % 53.50/53.72 (define @t4838 () (@list @t1801 @t98)) % 53.50/53.72 (define @t4839 () (tptp.hAPP @t4830 (tptp.c_Nitpick_Oplus__frac @t8 @t2505 (tptp.c_Nitpick_Ouminus__frac @t8 @t2067)))) % 53.50/53.72 (define @t4840 () (tptp.c_Nitpick_ORep__Frac @t8)) % 53.50/53.72 (define @t4841 () (tptp.c_Nat_Osize__class_Osize @t4579)) % 53.50/53.72 (define @t4842 () (tptp.tc_prod tptp.tc_Nat_Onat @t4579)) % 53.50/53.72 (define @t4843 () (@var "V_ys" $$unsorted)) % 53.50/53.72 (define @t4844 () (@var "V_xs" $$unsorted)) % 53.50/53.72 (define @t4845 () (= @t4844 @t4843)) % 53.50/53.72 (define @t4846 () (tptp.tc_List_Olist @t98)) % 53.50/53.72 (define @t4847 () (tptp.c_Nat_Osize__class_Osize @t4846)) % 53.50/53.72 (define @t4848 () (tptp.hAPP @t4847 @t4843)) % 53.50/53.72 (define @t4849 () (tptp.hAPP @t4847 @t4844)) % 53.50/53.72 (define @t4850 () (@list @t4843 @t4844 @t98)) % 53.50/53.72 (define @t4851 () (@var "V_ys_2" $$unsorted)) % 53.50/53.72 (define @t4852 () (tptp.hAPP @t4841 @t4851)) % 53.50/53.72 (define @t4853 () (= @t4852 @t672)) % 53.50/53.72 (define @t4854 () (@var "V_xs_2" $$unsorted)) % 53.50/53.72 (define @t4855 () (tptp.hAPP @t4841 @t4854)) % 53.50/53.72 (define @t4856 () (tptp.c_Product__Type_OPair @t4579 @t4579)) % 53.50/53.72 (define @t4857 () (tptp.hAPP @t4856 @t4854)) % 53.50/53.72 (define @t4858 () (tptp.c_member @t4586)) % 53.50/53.72 (define @t4859 () (tptp.hAPP @t4858 (tptp.hAPP @t4857 @t4851))) % 53.50/53.72 (define @t4860 () (tptp.tc_fun @t4587 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4861 () (tptp.tc_fun @t4579 @t4860)) % 53.50/53.72 (define @t4862 () (tptp.tc_fun @t4579 @t4586)) % 53.50/53.72 (define @t4863 () (tptp.tc_fun @t4579 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4864 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2858 @t4579)) % 53.50/53.72 (define @t4865 () (tptp.hAPP (tptp.hAPP @t4864 tptp.c_fequal) @t4841)) % 53.50/53.72 (define @t4866 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t4579)) % 53.50/53.72 (define @t4867 () (tptp.tc_fun @t4579 tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t4868 () (tptp.hAPP (tptp.c_COMBB @t2858 (tptp.tc_fun @t4867 @t4863) @t4579) @t4866)) % 53.50/53.72 (define @t4869 () (tptp.c_COMBC @t4579 @t4867 @t4863)) % 53.50/53.72 (define @t4870 () (tptp.hAPP (tptp.hAPP @t4869 (tptp.hAPP @t4868 @t4865)) @t4841)) % 53.50/53.72 (define @t4871 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2668 @t4579)) % 53.50/53.72 (define @t4872 () (tptp.hAPP @t4871 tptp.c_fconj)) % 53.50/53.72 (define @t4873 () (tptp.tc_fun @t4579 @t2668)) % 53.50/53.72 (define @t4874 () (tptp.c_COMBB @t4863 @t4873 @t4579)) % 53.50/53.72 (define @t4875 () (tptp.c_COMBS @t4579 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4876 () (tptp.tc_fun @t4863 @t4863)) % 53.50/53.72 (define @t4877 () (tptp.hAPP (tptp.c_COMBB @t4873 @t4876 @t4579) @t4875)) % 53.50/53.72 (define @t4878 () (tptp.c_COMBS @t4579 @t4863 @t4863)) % 53.50/53.72 (define @t4879 () (tptp.c_Product__Type_Oprod_Oprod__case @t4579 @t4579 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4880 () (tptp.c_Set_OCollect @t4586)) % 53.50/53.72 (define @t4881 () (tptp.hAPP @t4344 @t4855)) % 53.50/53.72 (define @t4882 () (tptp.hAPP @t4348 (tptp.hAPP @t4347 @t4881))) % 53.50/53.72 (define @t4883 () (tptp.hAPP @t4882 (tptp.hAPP @t4346 @t3365))) % 53.50/53.72 (define @t4884 () (tptp.c_List_Osublist @t8 @t4854 @t3365)) % 53.50/53.72 (define @t4885 () (@list @t3365 @t4854 @t8)) % 53.50/53.72 (define @t4886 () (tptp.c_COMBC @t4579 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t4887 () (tptp.hAPP @t4886 @t4865)) % 53.50/53.72 (define @t4888 () (tptp.hAPP @t4887 @t692)) % 53.50/53.72 (define @t4889 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4579)) % 53.50/53.72 (define @t4890 () (tptp.c_List_Olist_OCons @t8)) % 53.50/53.72 (define @t4891 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t4579 @t4579) @t4890)) % 53.50/53.72 (define @t4892 () (tptp.tc_prod @t8 @t4579)) % 53.50/53.72 (define @t4893 () (tptp.c_List_Olist_OCons @t98)) % 53.50/53.72 (define @t4894 () (tptp.hAPP @t4893 @t97)) % 53.50/53.72 (define @t4895 () (tptp.hAPP @t4894 @t4843)) % 53.50/53.72 (define @t4896 () (tptp.hAPP @t595 @t4849)) % 53.50/53.72 (define @t4897 () (@var "V_list_H_2" $$unsorted)) % 53.50/53.72 (define @t4898 () (@var "V_list_2" $$unsorted)) % 53.50/53.72 (define @t4899 () (tptp.hAPP @t4890 @t13)) % 53.50/53.72 (define @t4900 () (tptp.hAPP @t4899 @t4898)) % 53.50/53.72 (define @t4901 () (tptp.hAPP @t4894 @t4844)) % 53.50/53.72 (define @t4902 () (@list @t4844 @t97 @t98)) % 53.50/53.72 (define @t4903 () (@list @t97 @t98 @t4844)) % 53.50/53.72 (define @t4904 () (@var "V_list" $$unsorted)) % 53.50/53.72 (define @t4905 () (tptp.hAPP @t4893 @t197)) % 53.50/53.72 (define @t4906 () (= @t4855 @t4852)) % 53.50/53.72 (define @t4907 () (tptp.hAPP @t4890 @t57)) % 53.50/53.72 (define @t4908 () (tptp.hAPP @t4907 @t4851)) % 53.50/53.72 (define @t4909 () (tptp.hAPP @t4890 @t48)) % 53.50/53.72 (define @t4910 () (tptp.hAPP @t4909 @t4854)) % 53.50/53.72 (define @t4911 () (tptp.hAPP @t4856 @t4910)) % 53.50/53.72 (define @t4912 () (tptp.hAPP @t4858 (tptp.hAPP @t4911 @t4908))) % 53.50/53.72 (define @t4913 () (@list @t2067 @t4851 @t57 @t4854 @t48 @t8)) % 53.50/53.72 (define @t4914 () (tptp.c_member @t4579)) % 53.50/53.72 (define @t4915 () (tptp.hAPP (tptp.c_COMBC @t4579 @t4863 tptp.tc_HOL_Obool) @t4914)) % 53.50/53.72 (define @t4916 () (tptp.tc_fun @t4579 @t4579)) % 53.50/53.72 (define @t4917 () (tptp.tc_fun @t4916 @t4863)) % 53.50/53.72 (define @t4918 () (tptp.tc_fun @t8 @t4863)) % 53.50/53.72 (define @t4919 () (tptp.tc_fun @t8 @t4916)) % 53.50/53.72 (define @t4920 () (tptp.tc_fun @t8 @t4873)) % 53.50/53.72 (define @t4921 () (tptp.tc_fun @t8 @t4876)) % 53.50/53.72 (define @t4922 () (tptp.c_Set_OCollect @t4579)) % 53.50/53.72 (define @t4923 () (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t98) @t97)) % 53.50/53.72 (define @t4924 () (tptp.hAPP (tptp.c_Random_Opick @t98 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t98)) @t97) @t4844)) @t730)) % 53.50/53.72 (define @t4925 () (tptp.hBOOL (tptp.hAPP @t2688 @t4923))) % 53.50/53.72 (define @t4926 () (tptp.c_Random_Oselect__weight @t8 @t4854)) % 53.50/53.72 (define @t4927 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 53.50/53.72 (define @t4928 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 53.50/53.72 (define @t4929 () (@list @t4854 @t48 @t8)) % 53.50/53.72 (define @t4930 () (tptp.c_List_Olexord @t8 @t2067)) % 53.50/53.72 (define @t4931 () (tptp.hAPP @t4856 @t48)) % 53.50/53.72 (define @t4932 () (tptp.hAPP @t4858 (tptp.hAPP @t4931 @t57))) % 53.50/53.72 (define @t4933 () (tptp.hBOOL (tptp.hAPP @t4932 @t4930))) % 53.50/53.72 (define @t4934 () (tptp.hAPP (tptp.hAPP @t4890 @t33) @t57)) % 53.50/53.72 (define @t4935 () (tptp.hAPP @t4899 @t48)) % 53.50/53.72 (define @t4936 () (tptp.hAPP @t4841 @t57)) % 53.50/53.72 (define @t4937 () (tptp.hAPP @t4841 @t48)) % 53.50/53.72 (define @t4938 () (= @t4937 @t4936)) % 53.50/53.72 (define @t4939 () (tptp.c_List_Olistrel1 @t8 @t2067)) % 53.50/53.72 (define @t4940 () (tptp.c_Transitive__Closure_Ortrancl @t4579 @t4939)) % 53.50/53.72 (define @t4941 () (tptp.hBOOL (tptp.hAPP @t4859 @t4940))) % 53.50/53.72 (define @t4942 () (@list @t4851 @t4854 @t2067 @t57 @t48 @t8)) % 53.50/53.72 (define @t4943 () (tptp.c_Wellfounded_Oacc @t4579 @t4939)) % 53.50/53.72 (define @t4944 () (tptp.hAPP @t4914 @t4910)) % 53.50/53.72 (define @t4945 () (tptp.hAPP @t4914 @t4854)) % 53.50/53.72 (define @t4946 () (tptp.hBOOL (tptp.hAPP @t4945 @t4943))) % 53.50/53.72 (define @t4947 () (tptp.c_Orderings_Oord__class_Oless__eq @t4587)) % 53.50/53.72 (define @t4948 () (tptp.hAPP (tptp.c_Relation_Oconverse @t4579 @t4579) @t4939)) % 53.50/53.72 (define @t4949 () (tptp.c_List_Olistrel1 @t8 @t4761)) % 53.50/53.72 (define @t4950 () (tptp.hAPP @t4947 @t4939)) % 53.50/53.72 (define @t4951 () (tptp.hAPP @t4858 (tptp.hAPP @t4911 (tptp.hAPP @t4909 @t4851)))) % 53.50/53.72 (define @t4952 () (tptp.hBOOL (tptp.hAPP @t4859 @t4939))) % 53.50/53.72 (define @t4953 () (@list @t48 @t2067 @t4851 @t4854 @t8)) % 53.50/53.72 (define @t4954 () (@list @t2067 @t4851 @t4854 @t8)) % 53.50/53.72 (define @t4955 () (= @t4854 @t4851)) % 53.50/53.72 (define @t4956 () (tptp.c_Orderings_Obot__class_Obot @t4863)) % 53.50/53.72 (define @t4957 () (tptp.c_Set_Oinsert @t4579)) % 53.50/53.72 (define @t4958 () (tptp.c_List_Olistrel @t8 @t2067)) % 53.50/53.72 (define @t4959 () (tptp.c_Relation_OImage @t4579 @t4579 @t4958)) % 53.50/53.72 (define @t4960 () (tptp.hAPP @t4856 @t57)) % 53.50/53.72 (define @t4961 () (tptp.c_List_Olistrel @t8 @t4724)) % 53.50/53.72 (define @t4962 () (@list @t2067 @t4854 @t8)) % 53.50/53.72 (define @t4963 () (tptp.hAPP @t4947 @t4958)) % 53.50/53.72 (define @t4964 () (tptp.hBOOL (tptp.hAPP @t4859 @t4958))) % 53.50/53.72 (define @t4965 () (@var "V_zs_2" $$unsorted)) % 53.50/53.72 (define @t4966 () (tptp.hAPP @t4856 @t4851)) % 53.50/53.72 (define @t4967 () (tptp.hBOOL (tptp.hAPP @t4859 @t4961))) % 53.50/53.72 (define @t4968 () (@var "B_xs" $$unsorted)) % 53.50/53.72 (define @t4969 () (tptp.hAPP @t4890 @t3)) % 53.50/53.72 (define @t4970 () (tptp.hAPP @t4969 @t4968)) % 53.50/53.72 (define @t4971 () (tptp.hBOOL (tptp.hAPP @t4545 @t405))) % 53.50/53.72 (define @t4972 () (tptp.hAPP @t4890 @t405)) % 53.50/53.72 (define @t4973 () (tptp.hAPP @t4890 @t406)) % 53.50/53.72 (define @t4974 () (tptp.hBOOL (tptp.hAPP @t4488 @t57))) % 53.50/53.72 (define @t4975 () (@var "B_ys" $$unsorted)) % 53.50/53.72 (define @t4976 () (tptp.hAPP @t4890 @t429)) % 53.50/53.72 (define @t4977 () (tptp.c_List_Olists @t8 @t25)) % 53.50/53.72 (define @t4978 () (tptp.c_Orderings_Otop__class_Otop @t4863)) % 53.50/53.72 (define @t4979 () (tptp.c_List_Olists @t8 @t88)) % 53.50/53.72 (define @t4980 () (tptp.c_Orderings_Oord__class_Oless__eq @t4863)) % 53.50/53.72 (define @t4981 () (tptp.hBOOL (tptp.hAPP @t4945 @t4977))) % 53.50/53.72 (define @t4982 () (tptp.hBOOL (tptp.hAPP @t4945 (tptp.c_List_Olists @t8 @t4102)))) % 53.50/53.72 (define @t4983 () (tptp.c_List_Onth @t8)) % 53.50/53.72 (define @t4984 () (tptp.hAPP @t4983 @t4851)) % 53.50/53.72 (define @t4985 () (tptp.hAPP @t4983 @t4854)) % 53.50/53.72 (define @t4986 () (tptp.hAPP @t4985 @t1876)) % 53.50/53.72 (define @t4987 () (tptp.hAPP @t2960 @t4986)) % 53.50/53.72 (define @t4988 () (tptp.hAPP @t506 @t1876)) % 53.50/53.72 (define @t4989 () (tptp.hBOOL (tptp.hAPP @t4988 @t4855))) % 53.50/53.72 (define @t4990 () (tptp.hAPP @t2960 @t440)) % 53.50/53.72 (define @t4991 () (tptp.c_Finite__Set_Ofinite @t4579)) % 53.50/53.72 (define @t4992 () (tptp.hAPP @t4985 @t1415)) % 53.50/53.72 (define @t4993 () (tptp.hBOOL (tptp.hAPP @t2649 @t4855))) % 53.50/53.72 (define @t4994 () (@list @t8 @t4851 @t4854)) % 53.50/53.72 (define @t4995 () (tptp.c_List_Onth @t98)) % 53.50/53.72 (define @t4996 () (tptp.hAPP @t4995 @t4844)) % 53.50/53.72 (define @t4997 () (tptp.hAPP @t4996 @t658)) % 53.50/53.72 (define @t4998 () (tptp.hAPP @t4995 @t4901)) % 53.50/53.72 (define @t4999 () (tptp.hAPP @t4998 @t658)) % 53.50/53.72 (define @t5000 () (@list @t4844 @t97 @t98 @t658)) % 53.50/53.72 (define @t5001 () (tptp.hAPP @t4998 @t1534)) % 53.50/53.72 (define @t5002 () (not @t1943)) % 53.50/53.72 (define @t5003 () (@list @t4844 @t97 @t98 @t1132)) % 53.50/53.72 (define @t5004 () (tptp.c_List_Otake @t8)) % 53.50/53.72 (define @t5005 () (tptp.hAPP @t5004 @t1415)) % 53.50/53.72 (define @t5006 () (tptp.c_COMBB @t8 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5007 () (tptp.tc_fun tptp.tc_Nat_Onat @t8)) % 53.50/53.72 (define @t5008 () (tptp.tc_fun tptp.tc_Nat_Onat @t2668)) % 53.50/53.72 (define @t5009 () (tptp.hAPP (tptp.c_COMBC @t8 @t2858 @t2858) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5008 @t3744 @t8) @t4348) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2858 @t5008 @t8) @t4347) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5007 @t2858) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 (tptp.tc_fun @t5007 @t2858) @t8) @t5006) tptp.c_fequal)) @t4985))))) % 53.50/53.72 (define @t5010 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5011 () (tptp.hAPP (tptp.c_COMBB @t2858 tptp.tc_HOL_Obool @t8) @t5010)) % 53.50/53.72 (define @t5012 () (tptp.c_List_Oset @t8)) % 53.50/53.72 (define @t5013 () (tptp.hAPP @t5012 @t4884)) % 53.50/53.72 (define @t5014 () (tptp.hAPP @t5012 @t4854)) % 53.50/53.72 (define @t5015 () (@list @t4854 @t8)) % 53.50/53.72 (define @t5016 () (tptp.hAPP @t5012 @t4910)) % 53.50/53.72 (define @t5017 () (tptp.hAPP @t71 @t5014)) % 53.50/53.72 (define @t5018 () (@list @t48 @t4854 @t8)) % 53.50/53.72 (define @t5019 () (tptp.c_List_Otake @t98)) % 53.50/53.72 (define @t5020 () (tptp.hAPP @t5019 @t658)) % 53.50/53.72 (define @t5021 () (tptp.hAPP @t5020 @t4844)) % 53.50/53.72 (define @t5022 () (tptp.hBOOL (tptp.hAPP @t4896 @t658))) % 53.50/53.72 (define @t5023 () (@list @t658 @t4844 @t98)) % 53.50/53.72 (define @t5024 () (tptp.hAPP @t5004 @t672)) % 53.50/53.72 (define @t5025 () (tptp.hAPP @t5024 @t4854)) % 53.50/53.72 (define @t5026 () (tptp.hAPP @t5012 @t5025)) % 53.50/53.72 (define @t5027 () (@list @t4854 @t672 @t8)) % 53.50/53.72 (define @t5028 () (tptp.hAPP @t4996 @t730)) % 53.50/53.72 (define @t5029 () (tptp.hBOOL (tptp.hAPP @t766 @t658))) % 53.50/53.72 (define @t5030 () (tptp.hBOOL (tptp.hAPP @t189 @t5014))) % 53.50/53.72 (define @t5031 () (tptp.hBOOL (tptp.hAPP @t148 @t5014))) % 53.50/53.72 (define @t5032 () (tptp.hBOOL (tptp.hAPP @t148 @t5013))) % 53.50/53.72 (define @t5033 () (@list @t3365 @t4854 @t48 @t8)) % 53.50/53.72 (define @t5034 () (@list @t4854 @t672 @t48 @t8)) % 53.50/53.72 (define @t5035 () (not @t5031)) % 53.50/53.72 (define @t5036 () (tptp.hAPP @t5019 @t659)) % 53.50/53.72 (define @t5037 () (@list @t4844 @t97 @t658 @t98)) % 53.50/53.72 (define @t5038 () (tptp.hAPP @t1633 @t4849)) % 53.50/53.72 (define @t5039 () (@list @t4844 @t658 @t98)) % 53.50/53.72 (define @t5040 () (tptp.hAPP (tptp.hAPP @t5019 @t662) @t4844)) % 53.50/53.72 (define @t5041 () (@list @t4844 @t662 @t658 @t98)) % 53.50/53.72 (define @t5042 () (tptp.hAPP @t52 @t5014)) % 53.50/53.72 (define @t5043 () (tptp.hAPP @t503 @t5014)) % 53.50/53.72 (define @t5044 () (tptp.hAPP @t178 @t4992)) % 53.50/53.72 (define @t5045 () (tptp.hBOOL @t5044)) % 53.50/53.72 (define @t5046 () (=> @t4993 @t5045)) % 53.50/53.72 (define @t5047 () (forall @t1419 @t5046)) % 53.50/53.72 (define @t5048 () (tptp.hBOOL (tptp.hAPP @t181 @t5014))) % 53.50/53.72 (define @t5049 () (forall @t7 (=> @t5048 @t180))) % 53.50/53.72 (define @t5050 () (@list @t178 @t4854 @t8)) % 53.50/53.72 (define @t5051 () (tptp.c_List_Olist_Olist__size @t8 @t2 @t4854)) % 53.50/53.72 (define @t5052 () (tptp.hAPP @t506 @t57)) % 53.50/53.72 (define @t5053 () (@list @t2 @t57 @t4854 @t48 @t8)) % 53.50/53.72 (define @t5054 () (@list @t25 @t4854 @t8)) % 53.50/53.72 (define @t5055 () (tptp.hBOOL (tptp.hAPP @t1159 @t4855))) % 53.50/53.72 (define @t5056 () (tptp.hAPP @t4985 @t672)) % 53.50/53.72 (define @t5057 () (tptp.hBOOL (tptp.hAPP @t695 @t4855))) % 53.50/53.72 (define @t5058 () (tptp.c_COMBB @t29 @t1048 @t4579)) % 53.50/53.72 (define @t5059 () (tptp.c_COMBC @t4579 @t29 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t5060 () (tptp.hAPP @t5059 (tptp.hAPP (tptp.hAPP @t5058 @t71) @t5012))) % 53.50/53.72 (define @t5061 () (tptp.hAPP @t5060 @t25)) % 53.50/53.72 (define @t5062 () (tptp.hAPP @t4887 @t672)) % 53.50/53.72 (define @t5063 () (tptp.hAPP @t4875 (tptp.hAPP @t4872 @t5061))) % 53.50/53.72 (define @t5064 () (@list @t672 @t25 @t8)) % 53.50/53.72 (define @t5065 () (tptp.hAPP (tptp.c_List_Ozip @t8 @t8) @t4854)) % 53.50/53.72 (define @t5066 () (tptp.c_List_Oset @t2944)) % 53.50/53.72 (define @t5067 () (tptp.hBOOL (tptp.hAPP @t4590 (tptp.hAPP @t5066 (tptp.hAPP @t5065 @t4851))))) % 53.50/53.72 (define @t5068 () (tptp.tc_List_Olist @t49)) % 53.50/53.72 (define @t5069 () (tptp.c_Nat_Osize__class_Osize @t5068)) % 53.50/53.72 (define @t5070 () (tptp.hAPP @t5069 @t4851)) % 53.50/53.72 (define @t5071 () (tptp.hAPP (tptp.hAPP @t1633 @t4855) @t5070)) % 53.50/53.72 (define @t5072 () (tptp.c_List_Onth @t49)) % 53.50/53.72 (define @t5073 () (tptp.hAPP @t5072 @t4851)) % 53.50/53.72 (define @t5074 () (tptp.tc_fun tptp.tc_Nat_Onat @t2660)) % 53.50/53.72 (define @t5075 () (tptp.c_List_Ozip @t8 @t49)) % 53.50/53.72 (define @t5076 () (tptp.hAPP @t5075 @t4854)) % 53.50/53.72 (define @t5077 () (tptp.hAPP @t5076 @t4851)) % 53.50/53.72 (define @t5078 () (tptp.c_List_Oset @t2660)) % 53.50/53.72 (define @t5079 () (tptp.hAPP @t5078 @t5077)) % 53.50/53.72 (define @t5080 () (@list @t4851 @t4854 @t49 @t8)) % 53.50/53.72 (define @t5081 () (tptp.c_List_Ozip @t98 @t8)) % 53.50/53.72 (define @t5082 () (tptp.hAPP @t5081 @t4844)) % 53.50/53.72 (define @t5083 () (tptp.hAPP @t5082 @t4843)) % 53.50/53.72 (define @t5084 () (tptp.tc_prod @t98 @t8)) % 53.50/53.72 (define @t5085 () (@list @t4843 @t4844 @t658 @t8 @t98)) % 53.50/53.72 (define @t5086 () (tptp.hAPP @t4841 @t4843)) % 53.50/53.72 (define @t5087 () (tptp.hBOOL (tptp.hAPP @t117 @t5014))) % 53.50/53.72 (define @t5088 () (tptp.hAPP @t5065 @t4854)) % 53.50/53.72 (define @t5089 () (tptp.hBOOL (tptp.hAPP @t2743 @t5079))) % 53.50/53.72 (define @t5090 () (@list @t4851 @t4854 @t57 @t48 @t49 @t8)) % 53.50/53.72 (define @t5091 () (tptp.c_List_Oset @t49)) % 53.50/53.72 (define @t5092 () (tptp.hAPP @t5091 @t4851)) % 53.50/53.72 (define @t5093 () (tptp.hBOOL (tptp.hAPP @t4137 @t5092))) % 53.50/53.72 (define @t5094 () (tptp.hBOOL (tptp.hAPP @t766 @t4849))) % 53.50/53.72 (define @t5095 () (tptp.hAPP (tptp.hAPP @t1632 @t971) @t1708)) % 53.50/53.72 (define @t5096 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 53.50/53.72 (define @t5097 () (tptp.c_List_Omonoid__add__class_Olistsum @t8)) % 53.50/53.72 (define @t5098 () (tptp.hAPP @t5097 @t4854)) % 53.50/53.72 (define @t5099 () (tptp.c_List_Oupto @t972 @t971)) % 53.50/53.72 (define @t5100 () (tptp.hAPP @t5096 @t5099)) % 53.50/53.72 (define @t5101 () (@var "V_ns_2" $$unsorted)) % 53.50/53.72 (define @t5102 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5103 () (tptp.hAPP @t5102 @t5101)) % 53.50/53.72 (define @t5104 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t3206 @t5103)) (= @t3 @t1157)))) % 53.50/53.72 (define @t5105 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5106 () (tptp.c_List_Omonoid__add__class_Olistsum @t98)) % 53.50/53.72 (define @t5107 () (tptp.hAPP @t5106 @t4844)) % 53.50/53.72 (define @t5108 () (@var "V_ns" $$unsorted)) % 53.50/53.72 (define @t5109 () (tptp.hAPP @t5105 @t5108)) % 53.50/53.72 (define @t5110 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5111 () (tptp.hAPP (tptp.hAPP @t5110 @t5108) @t726)) % 53.50/53.72 (define @t5112 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5113 () (tptp.c_Nat_Osize__class_Osize @t5112)) % 53.50/53.72 (define @t5114 () (tptp.hBOOL (tptp.hAPP @t935 (tptp.hAPP @t5113 @t5108)))) % 53.50/53.72 (define @t5115 () (tptp.c_List_Oupto @t3539 @t971)) % 53.50/53.72 (define @t5116 () (tptp.hAPP @t5019 @t1385)) % 53.50/53.72 (define @t5117 () (tptp.hAPP @t5116 @t4844)) % 53.50/53.72 (define @t5118 () (@list @t4844 @t98 @t658)) % 53.50/53.72 (define @t5119 () (tptp.c_List_Olist__update @t98 @t4844)) % 53.50/53.72 (define @t5120 () (tptp.hAPP @t5119 @t730)) % 53.50/53.72 (define @t5121 () (tptp.hAPP @t5120 @t97)) % 53.50/53.72 (define @t5122 () (@list @t97 @t730 @t4844 @t98)) % 53.50/53.72 (define @t5123 () (@list @t730 @t4844 @t98)) % 53.50/53.72 (define @t5124 () (tptp.hAPP @t4996 @t727)) % 53.50/53.72 (define @t5125 () (tptp.hAPP @t4995 @t5121)) % 53.50/53.72 (define @t5126 () (tptp.hAPP @t5125 @t727)) % 53.50/53.72 (define @t5127 () (= @t730 @t727)) % 53.50/53.72 (define @t5128 () (=> (not @t5127) (= @t5126 @t5124))) % 53.50/53.72 (define @t5129 () (tptp.c_List_Obutlast @t98 @t4844)) % 53.50/53.72 (define @t5130 () (tptp.hAPP @t5119 @t726)) % 53.50/53.72 (define @t5131 () (tptp.hAPP @t5130 @t97)) % 53.50/53.72 (define @t5132 () (tptp.c_List_Obutlast @t98 @t5131)) % 53.50/53.72 (define @t5133 () (tptp.hAPP @t541 @t4849)) % 53.50/53.72 (define @t5134 () (tptp.hAPP @t5133 @t638)) % 53.50/53.72 (define @t5135 () (= @t726 @t5134)) % 53.50/53.72 (define @t5136 () (not @t5135)) % 53.50/53.72 (define @t5137 () (tptp.hAPP (tptp.c_List_Olist__update @t5084 @t5083) @t730)) % 53.50/53.72 (define @t5138 () (tptp.hAPP (tptp.c_List_Olist__update @t8 @t4843) @t730)) % 53.50/53.72 (define @t5139 () (@var "V_xy" $$unsorted)) % 53.50/53.72 (define @t5140 () (@var "V_x_H" $$unsorted)) % 53.50/53.72 (define @t5141 () (@var "V_i_H" $$unsorted)) % 53.50/53.72 (define @t5142 () (tptp.c_List_Olist__update @t98 @t5121)) % 53.50/53.72 (define @t5143 () (tptp.hAPP @t5120 @t152)) % 53.50/53.72 (define @t5144 () (tptp.c_List_Olist__update @t8 @t4854)) % 53.50/53.72 (define @t5145 () (tptp.hAPP (tptp.c_COMBB @t4579 @t4579 tptp.tc_Nat_Onat) @t4909)) % 53.50/53.72 (define @t5146 () (tptp.c_List_Olist__update @t98 @t4901)) % 53.50/53.72 (define @t5147 () (tptp.hAPP @t4893 @t152)) % 53.50/53.72 (define @t5148 () (tptp.hAPP @t5147 @t4844)) % 53.50/53.72 (define @t5149 () (tptp.c_List_Obutlast @t8 @t4854)) % 53.50/53.72 (define @t5150 () (tptp.hBOOL (tptp.hAPP @t148 (tptp.hAPP @t5012 @t5149)))) % 53.50/53.72 (define @t5151 () (tptp.hAPP @t5144 @t972)) % 53.50/53.72 (define @t5152 () (tptp.hAPP @t5151 @t48)) % 53.50/53.72 (define @t5153 () (tptp.hAPP @t71 (tptp.hAPP @t5012 @t5152))) % 53.50/53.72 (define @t5154 () (tptp.hAPP @t4985 @t972)) % 53.50/53.72 (define @t5155 () (tptp.hBOOL (tptp.hAPP @t977 @t4855))) % 53.50/53.72 (define @t5156 () (tptp.hBOOL (tptp.hAPP @t660 @t4849))) % 53.50/53.72 (define @t5157 () (@list @t4844 @t98)) % 53.50/53.72 (define @t5158 () (tptp.c_List_Odistinct @t8)) % 53.50/53.72 (define @t5159 () (tptp.hAPP @t84 @t5014)) % 53.50/53.72 (define @t5160 () (tptp.hBOOL (tptp.hAPP @t5158 @t4854))) % 53.50/53.72 (define @t5161 () (tptp.c_List_Oupto @t730 @t727)) % 53.50/53.72 (define @t5162 () (tptp.hAPP @t5019 @t730)) % 53.50/53.72 (define @t5163 () (tptp.hAPP @t5162 @t4844)) % 53.50/53.72 (define @t5164 () (tptp.c_List_Odistinct @t98)) % 53.50/53.72 (define @t5165 () (tptp.hBOOL (tptp.hAPP @t5164 @t4844))) % 53.50/53.72 (define @t5166 () (tptp.c_List_Odistinct @t5084)) % 53.50/53.72 (define @t5167 () (@list @t4843 @t8 @t4844 @t98)) % 53.50/53.72 (define @t5168 () (and @t5035 @t5160)) % 53.50/53.72 (define @t5169 () (= @t5043 @t4855)) % 53.50/53.72 (define @t5170 () (tptp.hAPP @t4985 @t971)) % 53.50/53.72 (define @t5171 () (tptp.hAPP @t506 @t971)) % 53.50/53.72 (define @t5172 () (@list @t971 @t972 @t4854 @t8)) % 53.50/53.72 (define @t5173 () (tptp.hAPP @t4985 @t1327)) % 53.50/53.72 (define @t5174 () (tptp.hBOOL (tptp.hAPP @t1328 @t4855))) % 53.50/53.72 (define @t5175 () (tptp.c_Nitpick_Ocard_H @t8 @t25)) % 53.50/53.72 (define @t5176 () (tptp.c_Hilbert__Choice_OEps @t4579 (tptp.hAPP (tptp.hAPP @t4875 (tptp.hAPP @t4872 (tptp.hAPP (tptp.hAPP @t5059 (tptp.hAPP (tptp.hAPP @t5058 tptp.c_fequal) @t5012)) @t25))) @t5158))) % 53.50/53.72 (define @t5177 () (tptp.hAPP @t5019 @t726)) % 53.50/53.72 (define @t5178 () (tptp.hAPP @t4995 @t4843)) % 53.50/53.72 (define @t5179 () (tptp.hAPP @t4996 @t1415)) % 53.50/53.72 (define @t5180 () (tptp.hAPP @t5159 @t53)) % 53.50/53.72 (define @t5181 () (tptp.c_List_Oremove1 @t8 @t48 @t4854)) % 53.50/53.72 (define @t5182 () (tptp.hAPP @t5012 @t5181)) % 53.50/53.72 (define @t5183 () (tptp.hAPP (tptp.hAPP @t5019 @t1534) @t4901)) % 53.50/53.72 (define @t5184 () (tptp.c_List_Olist_ONil @t98)) % 53.50/53.72 (define @t5185 () (tptp.c_List_Olist_ONil @t8)) % 53.50/53.72 (define @t5186 () (= @t4854 @t5185)) % 53.50/53.72 (define @t5187 () (tptp.hAPP @t4856 @t5185)) % 53.50/53.72 (define @t5188 () (tptp.hAPP @t4858 (tptp.hAPP @t5187 @t4854))) % 53.50/53.72 (define @t5189 () (tptp.hAPP @t4858 (tptp.hAPP @t4857 @t5185))) % 53.50/53.72 (define @t5190 () (= @t4844 @t5184)) % 53.50/53.72 (define @t5191 () (not @t5190)) % 53.50/53.72 (define @t5192 () (@list @t98 @t4844)) % 53.50/53.72 (define @t5193 () (tptp.c_List_Oremove1 @t98 @t97 @t4844)) % 53.50/53.72 (define @t5194 () (@list @t97 @t4844 @t98)) % 53.50/53.72 (define @t5195 () (tptp.c_List_Obutlast @t98 @t4901)) % 53.50/53.72 (define @t5196 () (tptp.c_List_Oremove1 @t98 @t97 @t5148)) % 53.50/53.72 (define @t5197 () (@list @t4844 @t98 @t152 @t97)) % 53.50/53.72 (define @t5198 () (@var "V_list_H" $$unsorted)) % 53.50/53.72 (define @t5199 () (tptp.hAPP (tptp.hAPP @t4893 @t2225) @t5198)) % 53.50/53.72 (define @t5200 () (@list @t5198 @t2225 @t98)) % 53.50/53.72 (define @t5201 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 53.50/53.72 (define @t5202 () (= @t5161 @t5201)) % 53.50/53.72 (define @t5203 () (@var "V_zs" $$unsorted)) % 53.50/53.72 (define @t5204 () (@list @t5203 @t152 @t97 @t98)) % 53.50/53.72 (define @t5205 () (tptp.c_List_Olist_ONil @t5084)) % 53.50/53.72 (define @t5206 () (tptp.hAPP (tptp.c_List_Olist__update @t98 @t5184) @t730)) % 53.50/53.72 (define @t5207 () (@list @t1550 @t8)) % 53.50/53.72 (define @t5208 () (@list @t57 @t4854 @t48 @t8)) % 53.50/53.72 (define @t5209 () (not @t5186)) % 53.50/53.72 (define @t5210 () (tptp.hAPP @t4894 @t5184)) % 53.50/53.72 (define @t5211 () (tptp.hAPP @t5187 @t5185)) % 53.50/53.72 (define @t5212 () (tptp.c_COMBC tptp.tc_Nat_Onat @t4579 @t4579)) % 53.50/53.72 (define @t5213 () (@list @t4854 @t48 @t672 @t8)) % 53.50/53.72 (define @t5214 () (tptp.hAPP @t1733 @t1708)) % 53.50/53.72 (define @t5215 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 53.50/53.72 (define @t5216 () (tptp.hAPP @t4909 @t5185)) % 53.50/53.72 (define @t5217 () (tptp.c_List_Osublist @t8 @t5216 @t25)) % 53.50/53.72 (define @t5218 () (tptp.hAPP @t4356 @t25)) % 53.50/53.72 (define @t5219 () (tptp.hBOOL @t5218)) % 53.50/53.72 (define @t5220 () (tptp.hAPP (tptp.hAPP @t4957 @t5185) @t4956)) % 53.50/53.72 (define @t5221 () (tptp.hAPP @t5020 @t4901)) % 53.50/53.72 (define @t5222 () (tptp.hAPP @t1698 @t662)) % 53.50/53.72 (define @t5223 () (tptp.c_List_Oupto @t5222 @t2168)) % 53.50/53.72 (define @t5224 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t5222) @t2168))) % 53.50/53.72 (define @t5225 () (tptp.c_COMBC @t8 @t4579 @t4579)) % 53.50/53.72 (define @t5226 () (tptp.hAPP @t5225 @t4890)) % 53.50/53.72 (define @t5227 () (tptp.hAPP @t5226 @t5185)) % 53.50/53.72 (define @t5228 () (tptp.hAPP @t4841 @t5181)) % 53.50/53.72 (define @t5229 () (tptp.hBOOL (tptp.hAPP @t2331 @t971))) % 53.50/53.72 (define @t5230 () (tptp.c_Wellfounded_Oaccp @t2850 tptp.c_List_Oupto__rel)) % 53.50/53.72 (define @t5231 () (tptp.c_Random_Oselect @t8 @t4854)) % 53.50/53.72 (define @t5232 () (tptp.c_Product__Type_Ofst @t8 @t3174)) % 53.50/53.72 (define @t5233 () (tptp.c_List_Olist_OCons @t2660)) % 53.50/53.72 (define @t5234 () (tptp.tc_List_Olist @t2660)) % 53.50/53.72 (define @t5235 () (tptp.tc_fun @t5234 @t5234)) % 53.50/53.72 (define @t5236 () (tptp.tc_fun @t5068 @t5234)) % 53.50/53.72 (define @t5237 () (tptp.c_List_Olist_ONil @t2660)) % 53.50/53.72 (define @t5238 () (@list @t4851 @t4854 @t48 @t49 @t8)) % 53.50/53.72 (define @t5239 () (tptp.hAPP @t2638 @t13)) % 53.50/53.72 (define @t5240 () (tptp.c_List_Olist_OCons @t49)) % 53.50/53.72 (define @t5241 () (tptp.c_List_Olist_Olist__case @t8 @t49 @t1683 @t2638)) % 53.50/53.72 (define @t5242 () (tptp.c_List_Olist_ONil @t49)) % 53.50/53.72 (define @t5243 () (@list @t2638 @t1683 @t49 @t8)) % 53.50/53.72 (define @t5244 () (@var "V_As_2" $$unsorted)) % 53.50/53.72 (define @t5245 () (tptp.tc_fun @t4579 @t5234)) % 53.50/53.72 (define @t5246 () (tptp.hAPP @t5240 @t57)) % 53.50/53.72 (define @t5247 () (tptp.hAPP @t5246 @t4851)) % 53.50/53.72 (define @t5248 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t25)) % 53.50/53.72 (define @t5249 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t243)) % 53.50/53.72 (define @t5250 () (tptp.hAPP (tptp.hAPP @t1617 @t1415) @t1708)) % 53.50/53.72 (define @t5251 () (tptp.c_Lazy__Sequence_Oanamorph @t49 @t8 @t2)) % 53.50/53.72 (define @t5252 () (tptp.c_Product__Type_OPair @t4579 @t49)) % 53.50/53.72 (define @t5253 () (tptp.tc_prod @t4579 @t49)) % 53.50/53.72 (define @t5254 () (tptp.tc_fun @t49 @t5253)) % 53.50/53.72 (define @t5255 () (tptp.tc_fun @t4579 @t5254)) % 53.50/53.72 (define @t5256 () (tptp.tc_fun @t5253 @t5253)) % 53.50/53.72 (define @t5257 () (tptp.hAPP (tptp.hAPP @t5252 @t5185) @t48)) % 53.50/53.72 (define @t5258 () (tptp.hAPP (tptp.hAPP @t5251 @t676) @t48)) % 53.50/53.72 (define @t5259 () (tptp.c_List_Oappend @t8)) % 53.50/53.72 (define @t5260 () (tptp.hAPP @t4909 @t1695)) % 53.50/53.72 (define @t5261 () (tptp.hAPP @t4907 @t5185)) % 53.50/53.72 (define @t5262 () (tptp.hAPP @t5259 @t4851)) % 53.50/53.72 (define @t5263 () (tptp.hAPP @t5262 @t5261)) % 53.50/53.72 (define @t5264 () (tptp.hAPP @t5259 @t4854)) % 53.50/53.72 (define @t5265 () (tptp.hAPP @t5264 @t5216)) % 53.50/53.72 (define @t5266 () (@var "B_ys_H" $$unsorted)) % 53.50/53.72 (define @t5267 () (tptp.hAPP (tptp.hAPP @t5259 @t5266) @t4965)) % 53.50/53.72 (define @t5268 () (tptp.hAPP @t4909 @t5266)) % 53.50/53.72 (define @t5269 () (@list @t5266)) % 53.50/53.72 (define @t5270 () (= @t4851 @t5185)) % 53.50/53.72 (define @t5271 () (tptp.hAPP @t5262 @t4965)) % 53.50/53.72 (define @t5272 () (tptp.c_List_Oappend @t98)) % 53.50/53.72 (define @t5273 () (tptp.hAPP (tptp.hAPP @t5272 @t4843) @t5203)) % 53.50/53.72 (define @t5274 () (@var "V_xs1" $$unsorted)) % 53.50/53.72 (define @t5275 () (tptp.hAPP @t5272 @t5274)) % 53.50/53.72 (define @t5276 () (tptp.hAPP @t5272 @t4844)) % 53.50/53.72 (define @t5277 () (tptp.hAPP @t5276 @t4843)) % 53.50/53.72 (define @t5278 () (@list @t4843 @t4844 @t97 @t98)) % 53.50/53.72 (define @t5279 () (tptp.hAPP @t4914 @t4851)) % 53.50/53.72 (define @t5280 () (tptp.hAPP @t5264 @t4851)) % 53.50/53.72 (define @t5281 () (@var "B_us" $$unsorted)) % 53.50/53.72 (define @t5282 () (tptp.hAPP @t5259 @t5281)) % 53.50/53.72 (define @t5283 () (tptp.hAPP @t5259 @t4965)) % 53.50/53.72 (define @t5284 () (= @t4851 @t4965)) % 53.50/53.72 (define @t5285 () (@list @t4965 @t4851 @t4854 @t8)) % 53.50/53.72 (define @t5286 () (@var "V_us" $$unsorted)) % 53.50/53.72 (define @t5287 () (tptp.hAPP @t796 @t4849)) % 53.50/53.72 (define @t5288 () (tptp.hAPP @t5287 @t4848)) % 53.50/53.72 (define @t5289 () (@var "V_vs" $$unsorted)) % 53.50/53.72 (define @t5290 () (tptp.hAPP @t5081 @t4843)) % 53.50/53.72 (define @t5291 () (tptp.c_List_Oappend @t5084)) % 53.50/53.72 (define @t5292 () (tptp.hAPP @t5081 @t5277)) % 53.50/53.72 (define @t5293 () (tptp.hAPP @t5012 @t4851)) % 53.50/53.72 (define @t5294 () (tptp.hAPP (tptp.hAPP @t83 @t5014) @t5293)) % 53.50/53.72 (define @t5295 () (@list @t4851 @t4854 @t8)) % 53.50/53.72 (define @t5296 () (tptp.hAPP (tptp.hAPP @t5272 @t5184) @t4843)) % 53.50/53.72 (define @t5297 () (and @t5186 @t5270)) % 53.50/53.72 (define @t5298 () (@list @t4843 @t98)) % 53.50/53.72 (define @t5299 () (tptp.c_List_Obutlast @t98 @t5277)) % 53.50/53.72 (define @t5300 () (= @t4843 @t5184)) % 53.50/53.72 (define @t5301 () (not @t5300)) % 53.50/53.72 (define @t5302 () (@list @t4844 @t98 @t4843)) % 53.50/53.72 (define @t5303 () (tptp.hAPP @t5276 @t4895)) % 53.50/53.72 (define @t5304 () (tptp.hAPP @t4995 @t5277)) % 53.50/53.72 (define @t5305 () (tptp.hAPP @t785 @t4849)) % 53.50/53.72 (define @t5306 () (tptp.hAPP @t5272 @t5021)) % 53.50/53.72 (define @t5307 () (@list @t4843 @t4844 @t658 @t98)) % 53.50/53.72 (define @t5308 () (tptp.c_List_Olist__update @t98 @t5277)) % 53.50/53.72 (define @t5309 () (tptp.hAPP @t5147 @t4843)) % 53.50/53.72 (define @t5310 () (tptp.c_List_Oremove1 @t8 @t48 @t5280)) % 53.50/53.72 (define @t5311 () (@list @t4851 @t4854 @t48 @t8)) % 53.50/53.72 (define @t5312 () (tptp.c_List_Obutlast @t8 @t4851)) % 53.50/53.72 (define @t5313 () (tptp.hAPP @t5276 @t5210)) % 53.50/53.72 (define @t5314 () (@var "V_vs_2" $$unsorted)) % 53.50/53.72 (define @t5315 () (@var "V_us_2" $$unsorted)) % 53.50/53.72 (define @t5316 () (tptp.hAPP @t5264 @t5315)) % 53.50/53.72 (define @t5317 () (tptp.hAPP @t5259 @t48)) % 53.50/53.72 (define @t5318 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP (tptp.hAPP @t4856 (tptp.hAPP @t5317 @t1024)) (tptp.hAPP @t5317 @t1088))) @t4930))) % 53.50/53.72 (define @t5319 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP (tptp.hAPP @t4856 @t1024) @t1088)) @t4930))) % 53.50/53.72 (define @t5320 () (tptp.hBOOL (tptp.hAPP @t5158 @t4851))) % 53.50/53.72 (define @t5321 () (tptp.hAPP @t5304 @t658)) % 53.50/53.72 (define @t5322 () (not @t5156)) % 53.50/53.72 (define @t5323 () (tptp.hAPP (tptp.hAPP @t5308 @t658) @t97)) % 53.50/53.72 (define @t5324 () (@var "V_l_H_2" $$unsorted)) % 53.50/53.72 (define @t5325 () (tptp.hAPP @t5259 @t5315)) % 53.50/53.72 (define @t5326 () (tptp.hAPP @t5259 @t1024)) % 53.50/53.72 (define @t5327 () (tptp.hAPP @t4893 @t5028)) % 53.50/53.72 (define @t5328 () (tptp.hAPP @t5272 @t5163)) % 53.50/53.72 (define @t5329 () (@list @t4844 @t98 @t730)) % 53.50/53.72 (define @t5330 () (@var "B_vs" $$unsorted)) % 53.50/53.72 (define @t5331 () (@list @t5281 @t5330)) % 53.50/53.72 (define @t5332 () (tptp.hAPP (tptp.c_COMBC @t4579 @t4579 @t4579) @t5259)) % 53.50/53.72 (define @t5333 () (tptp.c_COMBB @t4579 @t4916 @t8)) % 53.50/53.72 (define @t5334 () (tptp.c_List_Orotate1 @t8)) % 53.50/53.72 (define @t5335 () (tptp.hAPP @t5334 @t4854)) % 53.50/53.72 (define @t5336 () (tptp.c_List_Odrop @t98)) % 53.50/53.72 (define @t5337 () (tptp.hAPP (tptp.hAPP @t5336 @t763) @t4844)) % 53.50/53.72 (define @t5338 () (tptp.hAPP @t5336 @t658)) % 53.50/53.72 (define @t5339 () (tptp.hAPP @t5338 @t4844)) % 53.50/53.72 (define @t5340 () (tptp.hAPP @t5336 @t659)) % 53.50/53.72 (define @t5341 () (tptp.hAPP @t5336 @t730)) % 53.50/53.72 (define @t5342 () (tptp.hAPP @t5341 @t4844)) % 53.50/53.72 (define @t5343 () (tptp.c_List_Obutlast @t98 @t5339)) % 53.50/53.72 (define @t5344 () (tptp.hAPP @t5338 @t5129)) % 53.50/53.72 (define @t5345 () (tptp.hAPP @t5336 @t662)) % 53.50/53.72 (define @t5346 () (tptp.hAPP @t5345 @t4844)) % 53.50/53.72 (define @t5347 () (tptp.c_List_Odrop @t8)) % 53.50/53.72 (define @t5348 () (tptp.c_List_Orotate1 @t98)) % 53.50/53.72 (define @t5349 () (tptp.hAPP @t5348 @t4844)) % 53.50/53.72 (define @t5350 () (tptp.hAPP @t5347 @t672)) % 53.50/53.72 (define @t5351 () (tptp.hAPP @t5350 @t4854)) % 53.50/53.72 (define @t5352 () (tptp.hAPP @t5012 @t5351)) % 53.50/53.72 (define @t5353 () (tptp.hAPP @t5338 @t4901)) % 53.50/53.72 (define @t5354 () (tptp.hAPP @t827 @t730)) % 53.50/53.72 (define @t5355 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 53.50/53.72 (define @t5356 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 53.50/53.72 (define @t5357 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 53.50/53.72 (define @t5358 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 53.50/53.72 (define @t5359 () (tptp.hAPP @t4841 @t5358)) % 53.50/53.72 (define @t5360 () (tptp.hAPP @t4841 @t5357)) % 53.50/53.72 (define @t5361 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t5360) @t5359))) % 53.50/53.72 (define @t5362 () (tptp.hAPP @t5327 @t5337)) % 53.50/53.72 (define @t5363 () (tptp.hAPP @t4890 @t97)) % 53.50/53.72 (define @t5364 () (tptp.hAPP (tptp.hAPP @t5336 @t1534) @t4901)) % 53.50/53.72 (define @t5365 () (tptp.hBOOL (tptp.hAPP @t4896 @t638))) % 53.50/53.72 (define @t5366 () (@list @t5203 @t4843 @t4844 @t8 @t98)) % 53.50/53.72 (define @t5367 () (tptp.hAPP @t5036 @t4844)) % 53.50/53.72 (define @t5368 () (tptp.c_List_Ohd @t98)) % 53.50/53.72 (define @t5369 () (tptp.hAPP @t5368 @t5339)) % 53.50/53.72 (define @t5370 () (@list @t658 @t98 @t4844)) % 53.50/53.72 (define @t5371 () (tptp.hAPP @t5368 @t4844)) % 53.50/53.72 (define @t5372 () (tptp.hAPP @t5368 @t5277)) % 53.50/53.72 (define @t5373 () (=> @t5191 (= @t5372 @t5371))) % 53.50/53.72 (define @t5374 () (@list @t4843 @t98 @t4844)) % 53.50/53.72 (define @t5375 () (tptp.c_List_Ohd @t8)) % 53.50/53.72 (define @t5376 () (tptp.hAPP @t5375 @t4854)) % 53.50/53.72 (define @t5377 () (@list @t8 @t4854)) % 53.50/53.72 (define @t5378 () (tptp.hAPP @t4893 @t5371)) % 53.50/53.72 (define @t5379 () (tptp.c_List_Otl @t98)) % 53.50/53.72 (define @t5380 () (tptp.hAPP @t5379 @t4844)) % 53.50/53.72 (define @t5381 () (tptp.hAPP @t5272 @t5380)) % 53.50/53.72 (define @t5382 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t658 @t4849)) % 53.50/53.72 (define @t5383 () (tptp.c_List_Orotate @t98 @t658)) % 53.50/53.72 (define @t5384 () (tptp.hAPP @t5383 @t4844)) % 53.50/53.72 (define @t5385 () (tptp.hAPP @t5338 @t5380)) % 53.50/53.72 (define @t5386 () (tptp.hAPP @t5379 @t5339)) % 53.50/53.72 (define @t5387 () (tptp.c_List_Orotate @t8 @t672)) % 53.50/53.72 (define @t5388 () (tptp.hAPP @t5387 @t4854)) % 53.50/53.72 (define @t5389 () (tptp.c_Fun_Oid @t4579)) % 53.50/53.72 (define @t5390 () (tptp.hAPP @t5348 @t5384)) % 53.50/53.72 (define @t5391 () (tptp.hAPP @t5020 @t5380)) % 53.50/53.72 (define @t5392 () (tptp.c_List_Otl @t8)) % 53.50/53.72 (define @t5393 () (= @t5384 @t4844)) % 53.50/53.72 (define @t5394 () (tptp.c_List_Ofoldl @t8 @t49 @t2 @t13)) % 53.50/53.72 (define @t5395 () (tptp.c_List_Ofoldl @t8 @t8 @t844 @t1160)) % 53.50/53.72 (define @t5396 () (tptp.class_Groups_Omonoid__add @t8)) % 53.50/53.72 (define @t5397 () (@list @t4965 @t57 @t48 @t8)) % 53.50/53.72 (define @t5398 () (tptp.hAPP @t5240 @t48)) % 53.50/53.72 (define @t5399 () (tptp.hAPP @t5398 @t4854)) % 53.50/53.72 (define @t5400 () (tptp.hAPP @t5394 @t4854)) % 53.50/53.72 (define @t5401 () (tptp.c_List_Oappend @t49)) % 53.50/53.72 (define @t5402 () (tptp.hAPP (tptp.hAPP @t5401 @t4854) @t4851)) % 53.50/53.72 (define @t5403 () (tptp.c_List_Ofoldl @t49 @t8 (tptp.hAPP @t2807 @t2) @t57)) % 53.50/53.72 (define @t5404 () (tptp.hAPP (tptp.hAPP @t618 @t57) @t5014)) % 53.50/53.72 (define @t5405 () (@list @t4854 @t57 @t2 @t49 @t8)) % 53.50/53.72 (define @t5406 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t1545 @t48) @t4854)) % 53.50/53.72 (define @t5407 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t3251 @t48) @t4854)) % 53.50/53.72 (define @t5408 () (tptp.hAPP @t5091 @t4854)) % 53.50/53.72 (define @t5409 () (@list @t2 @t4854 @t49 @t8)) % 53.50/53.72 (define @t5410 () (tptp.c_List_Olinorder__class_Oinsort__key @t8 @t8 @t2822)) % 53.50/53.72 (define @t5411 () (tptp.hAPP @t5410 @t48)) % 53.50/53.72 (define @t5412 () (tptp.hAPP @t4890 @t440)) % 53.50/53.72 (define @t5413 () (tptp.c_List_Olinorder__class_Oinsort__key @t8 @t49 @t2)) % 53.50/53.72 (define @t5414 () (tptp.hAPP @t5413 @t48)) % 53.50/53.72 (define @t5415 () (tptp.class_Orderings_Olinorder @t49)) % 53.50/53.72 (define @t5416 () (tptp.c_List_Olinorder__class_Oinsort__key @t49 @t8 @t2)) % 53.50/53.72 (define @t5417 () (tptp.hAPP @t5416 @t48)) % 53.50/53.72 (define @t5418 () (tptp.hAPP @t5417 @t5247)) % 53.50/53.72 (define @t5419 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t94) @t643))) % 53.50/53.72 (define @t5420 () (tptp.hAPP @t5414 @t4854)) % 53.50/53.72 (define @t5421 () (@list @t4854 @t48 @t2 @t8 @t49)) % 53.50/53.72 (define @t5422 () (tptp.hAPP tptp.c_Nat_OSuc @t4855)) % 53.50/53.72 (define @t5423 () (tptp.hAPP @t5411 @t4854)) % 53.50/53.72 (define @t5424 () (tptp.hAPP @t5410 @t57)) % 53.50/53.72 (define @t5425 () (tptp.hAPP @t5416 @t57)) % 53.50/53.72 (define @t5426 () (tptp.hAPP @t5417 @t4854)) % 53.50/53.72 (define @t5427 () (tptp.hAPP @t5413 @t13)) % 53.50/53.72 (define @t5428 () (tptp.hAPP @t5427 @t4854)) % 53.50/53.72 (define @t5429 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t49 @t8 @t2 @t48 @t4854)) % 53.50/53.72 (define @t5430 () (tptp.hAPP @t3842 @t5408)) % 53.50/53.72 (define @t5431 () (tptp.hBOOL (tptp.hAPP @t3878 @t5430))) % 53.50/53.72 (define @t5432 () (@list @t4854 @t49 @t48 @t2 @t8)) % 53.50/53.72 (define @t5433 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t8 @t8 @t2822 @t48 @t4854)) % 53.50/53.72 (define @t5434 () (tptp.c_List_Olast @t98 @t4844)) % 53.50/53.72 (define @t5435 () (tptp.c_List_Olast @t98 @t5131)) % 53.50/53.72 (define @t5436 () (tptp.c_List_Olast @t98 @t4901)) % 53.50/53.72 (define @t5437 () (=> @t5190 (= @t5436 @t97))) % 53.50/53.72 (define @t5438 () (=> @t5191 (= @t5436 @t5434))) % 53.50/53.72 (define @t5439 () (tptp.c_List_Olast @t98 @t5277)) % 53.50/53.72 (define @t5440 () (=> @t5300 (= @t5439 @t5434))) % 53.50/53.72 (define @t5441 () (=> @t5301 (= @t5439 (tptp.c_List_Olast @t98 @t4843)))) % 53.50/53.72 (define @t5442 () (@var "V_as_2" $$unsorted)) % 53.50/53.72 (define @t5443 () (@var "B_l" $$unsorted)) % 53.50/53.72 (define @t5444 () (= @t13 @t5185)) % 53.50/53.72 (define @t5445 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 @t4928) (tptp.hAPP @t4927 @t2061)) @t4854)) % 53.50/53.72 (define @t5446 () (tptp.c_List_Omap @t8 @t49)) % 53.50/53.72 (define @t5447 () (tptp.hAPP @t5446 @t2)) % 53.50/53.72 (define @t5448 () (tptp.c_Fun_Oinj__on @t4579 @t5068 @t5447 @t4978)) % 53.50/53.72 (define @t5449 () (tptp.c_List_Olast @t8 @t4854)) % 53.50/53.72 (define @t5450 () (tptp.hAPP @t5447 @t4854)) % 53.50/53.72 (define @t5451 () (@list @t2 @t49 @t8 @t4854)) % 53.50/53.72 (define @t5452 () (tptp.c_List_Omap @t8 @t8)) % 53.50/53.72 (define @t5453 () (tptp.c_List_Omap @t1685 @t49)) % 53.50/53.72 (define @t5454 () (tptp.hAPP @t5453 @t2)) % 53.50/53.72 (define @t5455 () (tptp.hAPP @t5454 @t4854)) % 53.50/53.72 (define @t5456 () (tptp.c_List_Omap @t49 @t8)) % 53.50/53.72 (define @t5457 () (tptp.hAPP @t5456 @t2)) % 53.50/53.72 (define @t5458 () (tptp.hAPP @t5457 @t4854)) % 53.50/53.72 (define @t5459 () (@list @t4854 @t2 @t8 @t49)) % 53.50/53.72 (define @t5460 () (@list @t4854 @t2 @t49 @t672 @t8)) % 53.50/53.72 (define @t5461 () (tptp.tc_fun @t1685 @t2660)) % 53.50/53.72 (define @t5462 () (tptp.tc_fun @t3082 @t3081)) % 53.50/53.72 (define @t5463 () (tptp.tc_fun @t3082 @t1685)) % 53.50/53.72 (define @t5464 () (tptp.c_List_Ozip @t49 @t1685)) % 53.50/53.72 (define @t5465 () (tptp.hAPP (tptp.c_List_Omap @t3081 @t8) @t2)) % 53.50/53.72 (define @t5466 () (tptp.hAPP (tptp.c_List_Omap @t3082 @t49) @t1)) % 53.50/53.72 (define @t5467 () (tptp.c_List_Omap @t1685 @t8)) % 53.50/53.72 (define @t5468 () (tptp.hAPP @t5467 @t2)) % 53.50/53.72 (define @t5469 () (tptp.hAPP @t5075 (tptp.hAPP @t5468 @t4854))) % 53.50/53.72 (define @t5470 () (tptp.tc_fun @t3082 @t2660)) % 53.50/53.72 (define @t5471 () (= @t4854 @t5242)) % 53.50/53.72 (define @t5472 () (@list @t4854 @t2 @t49 @t8)) % 53.50/53.72 (define @t5473 () (tptp.hAPP (tptp.hAPP @t5456 @t1) @t4854)) % 53.50/53.72 (define @t5474 () (tptp.tc_List_Olist @t1685)) % 53.50/53.72 (define @t5475 () (tptp.hAPP @t5069 @t4854)) % 53.50/53.72 (define @t5476 () (tptp.hAPP @t5097 @t5473)) % 53.50/53.72 (define @t5477 () (tptp.hAPP @t5097 @t5458)) % 53.50/53.72 (define @t5478 () (@list @t4854 @t1 @t2 @t49 @t8)) % 53.50/53.72 (define @t5479 () (tptp.hAPP @t5447 @t4851)) % 53.50/53.72 (define @t5480 () (= (= @t5450 @t5479) @t4955)) % 53.50/53.72 (define @t5481 () (@list @t4851 @t4854 @t2 @t49 @t8)) % 53.50/53.72 (define @t5482 () (tptp.hAPP @t5457 @t4851)) % 53.50/53.72 (define @t5483 () (= @t5458 @t5482)) % 53.50/53.72 (define @t5484 () (@list @t4851 @t4854 @t2 @t8 @t49)) % 53.50/53.72 (define @t5485 () (tptp.hAPP @t5452 @t2822)) % 53.50/53.72 (define @t5486 () (tptp.c_List_Otake @t49)) % 53.50/53.72 (define @t5487 () (tptp.hAPP @t5486 @t672)) % 53.50/53.72 (define @t5488 () (tptp.hAPP (tptp.c_List_Odrop @t49) @t672)) % 53.50/53.72 (define @t5489 () (tptp.hAPP @t5467 @t4618)) % 53.50/53.72 (define @t5490 () (tptp.hAPP @t5453 @t1)) % 53.50/53.72 (define @t5491 () (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t5294)) % 53.50/53.72 (define @t5492 () (tptp.c_List_Odistinct @t49)) % 53.50/53.72 (define @t5493 () (tptp.c_Set_Oimage @t4579 @t29 @t5012)) % 53.50/53.72 (define @t5494 () (tptp.c_List_Omonoid__add__class_Olistsum @t49)) % 53.50/53.72 (define @t5495 () (tptp.hAPP @t5494 @t5450)) % 53.50/53.72 (define @t5496 () (tptp.c_Nitpick_Osetsum_H @t8 @t49 @t2 @t25)) % 53.50/53.72 (define @t5497 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1157)) % 53.50/53.72 (define @t5498 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t662)) % 53.50/53.72 (define @t5499 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t658)) % 53.50/53.72 (define @t5500 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.72 (define @t5501 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t673)) % 53.50/53.72 (define @t5502 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t672)) % 53.50/53.72 (define @t5503 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t57)) % 53.50/53.72 (define @t5504 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3205 @t57) @t3220))) % 53.50/53.72 (define @t5505 () (tptp.hAPP (tptp.c_List_Omap @t2660 @t8) @t3149)) % 53.50/53.72 (define @t5506 () (= @t4855 @t5070)) % 53.50/53.72 (define @t5507 () (@list @t4851 @t49 @t4854 @t8)) % 53.50/53.72 (define @t5508 () (tptp.hAPP (tptp.c_List_Omap @t2660 @t49) @t3147)) % 53.50/53.72 (define @t5509 () (tptp.hAPP @t5508 @t4965)) % 53.50/53.72 (define @t5510 () (tptp.hAPP @t5505 @t4965)) % 53.50/53.72 (define @t5511 () (tptp.hAPP @t5012 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4928 @t8) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t8)) @t4854))) % 53.50/53.72 (define @t5512 () (tptp.c_Random_Opick @t8 @t4854)) % 53.50/53.72 (define @t5513 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4928 tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t8)) @t4854))) % 53.50/53.72 (define @t5514 () (@list @t4854 @t8 @t972)) % 53.50/53.72 (define @t5515 () (@list @t4854 @t2 @t8)) % 53.50/53.72 (define @t5516 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t8) @t2)) % 53.50/53.72 (define @t5517 () (tptp.c_List_Oupto @t676 @t1695)) % 53.50/53.72 (define @t5518 () (@list @t3148 @t4854 @t8)) % 53.50/53.72 (define @t5519 () (tptp.tc_prod @t8 @t3174)) % 53.50/53.72 (define @t5520 () (tptp.hAPP (tptp.c_COMBB @t8 (tptp.tc_fun @t3174 @t5519) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t8 @t3174))) % 53.50/53.72 (define @t5521 () (tptp.c_Product__Type_Oscomp @t3174 tptp.tc_Code__Numeral_Ocode__numeral @t3174 @t5519)) % 53.50/53.72 (define @t5522 () (tptp.class_Groups_Omonoid__add @t49)) % 53.50/53.72 (define @t5523 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t726)) % 53.50/53.72 (define @t5524 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t48)) % 53.50/53.72 (define @t5525 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t662)) % 53.50/53.72 (define @t5526 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t658)) % 53.50/53.72 (define @t5527 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t673)) % 53.50/53.72 (define @t5528 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t672)) % 53.50/53.72 (define @t5529 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t730)) % 53.50/53.72 (define @t5530 () (@var "V_xq_2" $$unsorted)) % 53.50/53.72 (define @t5531 () (@var "V_no_2" $$unsorted)) % 53.50/53.72 (define @t5532 () (tptp.hAPP @t5012 @t5531)) % 53.50/53.72 (define @t5533 () (@var "V_yes_2" $$unsorted)) % 53.50/53.72 (define @t5534 () (tptp.hAPP @t5012 @t5533)) % 53.50/53.72 (define @t5535 () (tptp.c_List_Opartition @t8 @t178 @t4854)) % 53.50/53.72 (define @t5536 () (= @t5535 (tptp.hAPP (tptp.hAPP @t4856 @t5533) @t5531))) % 53.50/53.72 (define @t5537 () (@list @t5531 @t5533 @t4854 @t178 @t8)) % 53.50/53.72 (define @t5538 () (tptp.tc_fun @t4586 @t4586)) % 53.50/53.72 (define @t5539 () (tptp.tc_fun @t4579 @t5538)) % 53.50/53.72 (define @t5540 () (@list @t4854 @t48 @t178 @t8)) % 53.50/53.72 (define @t5541 () (tptp.c_List_Olistsp @t8 (tptp.hAPP (tptp.hAPP @t486 @t2834) @t2835))) % 53.50/53.72 (define @t5542 () (tptp.hAPP @t4914 @t1695)) % 53.50/53.72 (define @t5543 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4863)) % 53.50/53.72 (define @t5544 () (tptp.c_List_Olistsp @t8 @t25)) % 53.50/53.72 (define @t5545 () (tptp.hBOOL (tptp.hAPP @t5544 @t4854))) % 53.50/53.72 (define @t5546 () (tptp.c_List_Olistsp @t8 @t88)) % 53.50/53.72 (define @t5547 () (tptp.c_List_Olistsp @t8 @t488)) % 53.50/53.72 (define @t5548 () (tptp.c_Enum_Oproduct @t8 @t49 @t4854 @t4851)) % 53.50/53.72 (define @t5549 () (tptp.hBOOL (tptp.hAPP @t4202 @t3))) % 53.50/53.72 (define @t5550 () (tptp.hAPP @t2742 @t3)) % 53.50/53.72 (define @t5551 () (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t4854 @t4851)) % 53.50/53.72 (define @t5552 () (@list @t4851 @t4854 @t178 @t49 @t8)) % 53.50/53.72 (define @t5553 () (@var "V_bs_2" $$unsorted)) % 53.50/53.72 (define @t5554 () (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t13 @t33)) % 53.50/53.72 (define @t5555 () (@var "V_uu" $$unsorted)) % 53.50/53.72 (define @t5556 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t4985 @t2671)) (tptp.hAPP @t5073 @t2671)))) % 53.50/53.72 (define @t5557 () (tptp.hAPP @t506 @t2671)) % 53.50/53.72 (define @t5558 () (@list @t2671 @t4851 @t4854 @t178 @t49 @t8)) % 53.50/53.72 (define @t5559 () (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t5152 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t49 @t4851) @t972) @t57))) % 53.50/53.72 (define @t5560 () (tptp.c_Enum_Osublists @t8 @t4854)) % 53.50/53.72 (define @t5561 () (tptp.c_List_Oset @t4579)) % 53.50/53.72 (define @t5562 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t4846))) % 53.50/53.72 (define @t5563 () (tptp.c_List_Olist_ONil @t4846)) % 53.50/53.72 (define @t5564 () (tptp.c_List_Olist_OCons @t4846)) % 53.50/53.72 (define @t5565 () (tptp.hAPP @t5564 @t5184)) % 53.50/53.72 (define @t5566 () (tptp.hAPP @t5565 @t5563)) % 53.50/53.72 (define @t5567 () (tptp.tc_List_Olist @t4579)) % 53.50/53.72 (define @t5568 () (tptp.c_List_Omap @t4579 @t4579)) % 53.50/53.72 (define @t5569 () (tptp.c_Enum_On__lists @t8 @t672 @t4854)) % 53.50/53.72 (define @t5570 () (tptp.hAPP @t5561 @t5569)) % 53.50/53.72 (define @t5571 () (tptp.c_HOL_OThe @t8 @t178)) % 53.50/53.72 (define @t5572 () (tptp.c_Enum_On__lists @t98 @t658 @t4844)) % 53.50/53.72 (define @t5573 () (tptp.c_Enum_On__lists @t98 @t658 @t5184)) % 53.50/53.72 (define @t5574 () (tptp.hAPP @t4841 @t13)) % 53.50/53.72 (define @t5575 () (= @t5574 (tptp.hAPP @t5069 @t33))) % 53.50/53.72 (define @t5576 () (tptp.c_List_Oremdups @t8 @t4854)) % 53.50/53.72 (define @t5577 () (tptp.c_List_OremoveAll @t8 @t48)) % 53.50/53.72 (define @t5578 () (tptp.hAPP @t5577 @t4854)) % 53.50/53.72 (define @t5579 () (= (tptp.hAPP @t5447 @t5578) (tptp.hAPP (tptp.c_List_OremoveAll @t49 @t94) @t5450))) % 53.50/53.72 (define @t5580 () (@list @t4854 @t48 @t2 @t49 @t8)) % 53.50/53.72 (define @t5581 () (tptp.c_List_Oremdups @t98 @t4844)) % 53.50/53.72 (define @t5582 () (= @t5576 @t4854)) % 53.50/53.72 (define @t5583 () (tptp.c_List_OremoveAll @t98 @t97)) % 53.50/53.72 (define @t5584 () (tptp.hAPP @t5583 @t4844)) % 53.50/53.72 (define @t5585 () (tptp.hAPP @t4841 @t5576)) % 53.50/53.72 (define @t5586 () (= @t48 @t5185)) % 53.50/53.72 (define @t5587 () (tptp.c_List_Oremdups @t8 @t48)) % 53.50/53.72 (define @t5588 () (tptp.hAPP @t5583 @t5148)) % 53.50/53.72 (define @t5589 () (tptp.c_List_Oremdups @t8 @t4910)) % 53.50/53.72 (define @t5590 () (@var "V_xss_2" $$unsorted)) % 53.50/53.72 (define @t5591 () (tptp.hAPP @t5561 @t5590)) % 53.50/53.72 (define @t5592 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4579 @t29)) % 53.50/53.72 (define @t5593 () (tptp.c_List_Oconcat @t8 @t5590)) % 53.50/53.72 (define @t5594 () (@list @t5590 @t8)) % 53.50/53.72 (define @t5595 () (tptp.c_List_Olinorder__class_Osort__key @t8 @t49 @t2 @t4854)) % 53.50/53.72 (define @t5596 () (tptp.c_List_Oconcat @t98 @t4844)) % 53.50/53.72 (define @t5597 () (= @t3 @t5185)) % 53.50/53.72 (define @t5598 () (tptp.hAPP @t4914 @t3)) % 53.50/53.72 (define @t5599 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5598 @t5591)) @t5597))) % 53.50/53.72 (define @t5600 () (tptp.hAPP (tptp.c_List_Omap @t5068 @t4579) @t5457)) % 53.50/53.72 (define @t5601 () (tptp.hAPP @t5600 @t4854)) % 53.50/53.72 (define @t5602 () (tptp.hAPP (tptp.c_List_Omap @t4579 tptp.tc_Nat_Onat) @t4841)) % 53.50/53.72 (define @t5603 () (tptp.hAPP @t5561 @t4854)) % 53.50/53.72 (define @t5604 () (tptp.c_List_Oconcat @t8 @t4854)) % 53.50/53.72 (define @t5605 () (tptp.c_List_Olinorder__class_Osort__key @t8 @t8 @t2822 @t4854)) % 53.50/53.72 (define @t5606 () (= @t5604 (tptp.c_List_Oconcat @t8 @t4851))) % 53.50/53.72 (define @t5607 () (tptp.c_Nat_Osize__class_Osize @t5567)) % 53.50/53.72 (define @t5608 () (tptp.hAPP @t5607 @t4854)) % 53.50/53.72 (define @t5609 () (= @t5608 (tptp.hAPP @t5607 @t4851))) % 53.50/53.72 (define @t5610 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 @t3) (tptp.hAPP (tptp.c_List_Oset @t4586) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4579 @t4579) @t4854) @t4851)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4879 @t4870) @t3))))) % 53.50/53.72 (define @t5611 () (tptp.c_List_Omap @t49 @t4579)) % 53.50/53.72 (define @t5612 () (tptp.tc_fun @t4579 @t5567)) % 53.50/53.72 (define @t5613 () (tptp.c_List_Omap @t4579 @t5567)) % 53.50/53.72 (define @t5614 () (tptp.c_List_Olist_ONil @t4579)) % 53.50/53.72 (define @t5615 () (tptp.c_List_Olist_OCons @t4579)) % 53.50/53.72 (define @t5616 () (tptp.c_List_Oconcat @t4579 (tptp.hAPP (tptp.hAPP @t5613 (tptp.c_List_Olist_Olist__case @t5567 @t8 @t5614 (tptp.hAPP (tptp.c_COMBK @t5612 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4579 @t5567 @t5567) @t5615) @t5614)))) @t5590))) % 53.50/53.72 (define @t5617 () (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5568 (tptp.c_List_Olist_Olist__case @t4579 @t8 @t5185 (tptp.hAPP (tptp.hAPP @t5333 (tptp.c_COMBK @t4579 @t4579)) @t5227))) @t5590))) % 53.50/53.72 (define @t5618 () (tptp.hAPP (tptp.hAPP @t5615 @t4910) @t5590)) % 53.50/53.72 (define @t5619 () (= (tptp.c_List_Otranspose @t8 @t5618) (tptp.hAPP (tptp.hAPP @t5615 (tptp.hAPP @t4909 @t5617)) (tptp.c_List_Otranspose @t8 (tptp.hAPP (tptp.hAPP @t5615 @t4854) @t5616))))) % 53.50/53.72 (define @t5620 () (@list @t5590 @t4854 @t48 @t8)) % 53.50/53.72 (define @t5621 () (tptp.hAPP (tptp.hAPP @t4889 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4579 @t4579 tptp.tc_HOL_Obool) tptp.c_fequal) @t5185))) % 53.50/53.72 (define @t5622 () (tptp.c_List_Ofilter @t4579 @t5621)) % 53.50/53.72 (define @t5623 () (tptp.hAPP @t5622 @t5590)) % 53.50/53.72 (define @t5624 () (tptp.c_List_Omap @t4579 @t8)) % 53.50/53.72 (define @t5625 () (tptp.c_List_Ofilter @t8 @t2671)) % 53.50/53.72 (define @t5626 () (@list @t4854 @t2671 @t8)) % 53.50/53.72 (define @t5627 () (tptp.c_List_Ofilter @t8 @t178)) % 53.50/53.72 (define @t5628 () (tptp.hAPP @t5627 @t4854)) % 53.50/53.72 (define @t5629 () (tptp.hAPP @t4841 @t5628)) % 53.50/53.72 (define @t5630 () (@list @t4854 @t178 @t8)) % 53.50/53.72 (define @t5631 () (tptp.hAPP @t5012 @t5628)) % 53.50/53.72 (define @t5632 () (tptp.c_List_Ofilter @t8 @t305)) % 53.50/53.72 (define @t5633 () (tptp.hAPP @t5632 @t4854)) % 53.50/53.72 (define @t5634 () (not @t310)) % 53.50/53.72 (define @t5635 () (@list @t4854 @t8 @t48 @t178)) % 53.50/53.72 (define @t5636 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t8 tptp.c_fNot)) % 53.50/53.72 (define @t5637 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_HOL_Obool @t49 @t178) @t2)) % 53.50/53.72 (define @t5638 () (tptp.hAPP (tptp.c_List_Ofilter @t49 @t5637) @t4854)) % 53.50/53.72 (define @t5639 () (tptp.hAPP @t5627 @t5458)) % 53.50/53.72 (define @t5640 () (@list @t4854 @t2 @t49 @t178 @t8)) % 53.50/53.72 (define @t5641 () (tptp.hAPP @t5627 @t4910)) % 53.50/53.72 (define @t5642 () (tptp.hAPP @t5627 @t4851)) % 53.50/53.72 (define @t5643 () (@list @t4851 @t4854 @t178 @t8)) % 53.50/53.72 (define @t5644 () (@var "V_xss" $$unsorted)) % 53.50/53.72 (define @t5645 () (tptp.c_List_Ofilter @t4579 (tptp.hAPP (tptp.hAPP @t4866 @t977) @t4841))) % 53.50/53.72 (define @t5646 () (tptp.hAPP @t5645 @t4854)) % 53.50/53.72 (define @t5647 () (tptp.hAPP @t5624 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4579 tptp.tc_Nat_Onat @t8) @t4983) @t972))) % 53.50/53.72 (define @t5648 () (tptp.c_List_Otranspose @t8 @t4854)) % 53.50/53.72 (define @t5649 () (tptp.c_List_Onth @t4579)) % 53.50/53.72 (define @t5650 () (tptp.hAPP (tptp.hAPP @t5649 @t5648) @t972)) % 53.50/53.72 (define @t5651 () (tptp.hAPP @t5607 @t5648)) % 53.50/53.72 (define @t5652 () (tptp.hBOOL (tptp.hAPP @t977 @t5651))) % 53.50/53.72 (define @t5653 () (@list @t57 @t4854 @t8)) % 53.50/53.72 (define @t5654 () (tptp.c_List_Osublist @t8 @t4854 @t3148)) % 53.50/53.72 (define @t5655 () (tptp.c_Wellfounded_Oaccp @t5567 (tptp.c_List_Otranspose__rel @t8))) % 53.50/53.72 (define @t5656 () (tptp.hAPP (tptp.hAPP @t5615 @t5185) @t5590)) % 53.50/53.72 (define @t5657 () (@var "V_is_2" $$unsorted)) % 53.50/53.72 (define @t5658 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 53.50/53.72 (define @t5659 () (tptp.hAPP (tptp.c_List_Ozip @t8 tptp.tc_Nat_Onat) @t4854)) % 53.50/53.72 (define @t5660 () (tptp.c_Product__Type_Osnd @t8 tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5661 () (tptp.tc_prod @t8 tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5662 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t5661) @t178)) % 53.50/53.72 (define @t5663 () (tptp.hAPP (tptp.c_List_Omap @t5661 @t8) (tptp.c_Product__Type_Ofst @t8 tptp.tc_Nat_Onat))) % 53.50/53.72 (define @t5664 () (tptp.hAPP (tptp.c_List_Ofilter @t4928 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral @t8 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t29 tptp.tc_Code__Numeral_Ocode__numeral) @t4386) @t3175))) @t4854)) % 53.50/53.72 (define @t5665 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2708 @t4579) @t3249) @t4841)) % 53.50/53.72 (define @t5666 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2708 @t5068)) % 53.50/53.72 (define @t5667 () (tptp.hAPP @t5666 @t3249)) % 53.50/53.72 (define @t5668 () (tptp.c_List_Ofoldr @t49 @t8 @t2 @t4854 @t13)) % 53.50/53.72 (define @t5669 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t844 @t13) @t4854)) % 53.50/53.72 (define @t5670 () (tptp.c_List_Ofoldr @t8 @t8 @t844 @t4854 @t1160)) % 53.50/53.72 (define @t5671 () (@list @t4854 @t13 @t8)) % 53.50/53.72 (define @t5672 () (tptp.c_List_Oupt @t1157 @t4855)) % 53.50/53.72 (define @t5673 () (tptp.hAPP @t5659 @t5672)) % 53.50/53.72 (define @t5674 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4352 @t5661) @t3205)) % 53.50/53.72 (define @t5675 () (tptp.c_COMBC @t5661 @t2858 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t5676 () (tptp.c_List_Ofilter @t5661 (tptp.hAPP (tptp.hAPP @t5675 (tptp.hAPP @t5674 @t5660)) @t25))) % 53.50/53.72 (define @t5677 () (tptp.c_List_Oupt @t972 @t971)) % 53.50/53.72 (define @t5678 () (tptp.hAPP @t5102 @t5677)) % 53.50/53.72 (define @t5679 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5680 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5681 () (tptp.c_List_Oupt @t730 @t727)) % 53.50/53.72 (define @t5682 () (tptp.c_List_Oappend tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5683 () (tptp.hAPP @t5682 @t5681)) % 53.50/53.72 (define @t5684 () (tptp.c_List_Oupt @t730 @t995)) % 53.50/53.72 (define @t5685 () (=> @t735 (= @t5684 (tptp.hAPP @t5683 (tptp.hAPP (tptp.hAPP @t5680 @t727) @t5679))))) % 53.50/53.72 (define @t5686 () (= @t5681 @t5679)) % 53.50/53.72 (define @t5687 () (=> @t767 (= @t5681 (tptp.hAPP (tptp.hAPP @t5680 @t730) (tptp.c_List_Oupt @t763 @t727))))) % 53.50/53.72 (define @t5688 () (tptp.c_List_Oupt @t673 @t672)) % 53.50/53.72 (define @t5689 () (tptp.hAPP @t1533 @t658)) % 53.50/53.72 (define @t5690 () (tptp.hAPP @t1533 @t662)) % 53.50/53.72 (define @t5691 () (tptp.c_List_Oupt @t5690 @t5689)) % 53.50/53.72 (define @t5692 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t5690) @t5689))) % 53.50/53.72 (define @t5693 () (tptp.c_List_Oupt @t1157 @t672)) % 53.50/53.72 (define @t5694 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t8)) % 53.50/53.72 (define @t5695 () (tptp.hAPP (tptp.hAPP @t5694 @t2) @t5688)) % 53.50/53.72 (define @t5696 () (tptp.hAPP @t5097 @t5695)) % 53.50/53.72 (define @t5697 () (tptp.hAPP @t3200 (tptp.hAPP @t5102 @t5688))) % 53.50/53.72 (define @t5698 () (tptp.hAPP @t5649 @t4854)) % 53.50/53.72 (define @t5699 () (= @t4854 @t5614)) % 53.50/53.72 (define @t5700 () (tptp.c_List_Oremove1 @t8 @t13 @t4854)) % 53.50/53.72 (define @t5701 () (tptp.c_List_Olinorder__class_Osorted @t49 @t5450)) % 53.50/53.72 (define @t5702 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4854)) % 53.50/53.72 (define @t5703 () (tptp.c_List_Olinorder__class_Osorted @t98 @t4844)) % 53.50/53.72 (define @t5704 () (tptp.hAPP @t4907 @t4965)) % 53.50/53.72 (define @t5705 () (tptp.hAPP @t5147 @t5203)) % 53.50/53.72 (define @t5706 () (=> (= @t5014 @t5293) @t4955)) % 53.50/53.72 (define @t5707 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4851)) % 53.50/53.72 (define @t5708 () (tptp.c_List_Olinorder__class_Osorted @t8 @t5458)) % 53.50/53.72 (define @t5709 () (@list @t48 @t4854 @t2 @t49 @t8)) % 53.50/53.72 (define @t5710 () (tptp.c_List_Ofilter @t49 @t178)) % 53.50/53.72 (define @t5711 () (tptp.hAPP @t5710 @t4854)) % 53.50/53.72 (define @t5712 () (tptp.hAPP @t1 @t4854)) % 53.50/53.72 (define @t5713 () (forall @t7 (=> @t5048 @t615))) % 53.50/53.72 (define @t5714 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4910)) % 53.50/53.72 (define @t5715 () (tptp.hBOOL (tptp.hAPP @t1064 @t567))) % 53.50/53.72 (define @t5716 () (tptp.hBOOL (tptp.hAPP @t1418 @t1327))) % 53.50/53.72 (define @t5717 () (tptp.hBOOL (tptp.hAPP @t764 @t4849))) % 53.50/53.72 (define @t5718 () (@list @t727 @t730 @t4844 @t98)) % 53.50/53.72 (define @t5719 () (tptp.hAPP @t5698 @t972)) % 53.50/53.72 (define @t5720 () (tptp.hAPP @t5645 @t5648)) % 53.50/53.72 (define @t5721 () (tptp.hBOOL (tptp.hAPP @t977 @t5608))) % 53.50/53.72 (define @t5722 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5723 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5722 (tptp.hAPP @t5602 @t4854)))) % 53.50/53.72 (define @t5724 () (@list @t972 @t4854 @t8)) % 53.50/53.72 (define @t5725 () (tptp.c_List_Orev @t8)) % 53.50/53.72 (define @t5726 () (tptp.hAPP @t5725 @t4854)) % 53.50/53.72 (define @t5727 () (tptp.c_List_Orev @t98)) % 53.50/53.72 (define @t5728 () (= @t4854 @t5216)) % 53.50/53.72 (define @t5729 () (tptp.hAPP @t5727 @t4844)) % 53.50/53.72 (define @t5730 () (tptp.c_List_Orev @t49)) % 53.50/53.72 (define @t5731 () (tptp.hAPP @t5730 @t4854)) % 53.50/53.72 (define @t5732 () (tptp.hAPP @t5725 @t5458)) % 53.50/53.72 (define @t5733 () (tptp.hAPP @t5730 @t4851)) % 53.50/53.72 (define @t5734 () (tptp.hAPP @t5725 @t4851)) % 53.50/53.72 (define @t5735 () (tptp.hAPP @t5133 @t730)) % 53.50/53.72 (define @t5736 () (@list @t4844 @t730 @t98)) % 53.50/53.72 (define @t5737 () (tptp.c_List_Ofoldr @t8 @t8 @t3251 @t4854 @t57)) % 53.50/53.72 (define @t5738 () (tptp.c_List_OtakeWhile @t8 @t178 @t4854)) % 53.50/53.72 (define @t5739 () (tptp.hAPP @t4841 @t5738)) % 53.50/53.72 (define @t5740 () (tptp.c_List_OtakeWhile @t8 @t178 @t4910)) % 53.50/53.72 (define @t5741 () (tptp.c_List_OtakeWhile @t8 @t178 @t5280)) % 53.50/53.72 (define @t5742 () (@list @t4851 @t178 @t4854 @t48 @t8)) % 53.50/53.72 (define @t5743 () (@list @t4854 @t178 @t8 @t971)) % 53.50/53.72 (define @t5744 () (tptp.c_COMBB @t8 tptp.tc_HOL_Obool @t49)) % 53.50/53.72 (define @t5745 () (tptp.hAPP (tptp.hAPP @t5744 (tptp.hAPP @t368 @t20)) @t2)) % 53.50/53.72 (define @t5746 () (tptp.hAPP @t4379 @t4684)) % 53.50/53.72 (define @t5747 () (tptp.c_List_OdropWhile @t8 @t178 @t4854)) % 53.50/53.72 (define @t5748 () (tptp.hAPP @t5259 @t5738)) % 53.50/53.72 (define @t5749 () (tptp.hAPP @t4841 @t5747)) % 53.50/53.72 (define @t5750 () (= @t5747 @t5185)) % 53.50/53.72 (define @t5751 () (tptp.c_List_OdropWhile @t8 @t178 @t4910)) % 53.50/53.72 (define @t5752 () (tptp.c_List_OdropWhile @t8 @t178 @t5280)) % 53.50/53.72 (define @t5753 () (tptp.hBOOL (tptp.hAPP @t178 @t5056))) % 53.50/53.72 (define @t5754 () (@list @t178 @t4854 @t8 @t672)) % 53.50/53.72 (define @t5755 () (tptp.c_List_Oinsert @t8 @t48 @t4854)) % 53.50/53.72 (define @t5756 () (=> @t5035 (= @t5755 @t4910))) % 53.50/53.72 (define @t5757 () (=> @t5031 (= @t5755 @t4854))) % 53.50/53.72 (define @t5758 () (tptp.c_List_Oinsert @t98 @t97 @t4844)) % 53.50/53.72 (define @t5759 () (tptp.c_List_Omaps @t49 @t8 @t2 @t4854)) % 53.50/53.72 (define @t5760 () (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5611 @t2) @t4854))) % 53.50/53.72 (define @t5761 () (@var "B_zs" $$unsorted)) % 53.50/53.72 (define @t5762 () (tptp.hAPP @t5012 @t5761)) % 53.50/53.72 (define @t5763 () (tptp.hAPP @t5012 @t4975)) % 53.50/53.72 (define @t5764 () (@list @t5761)) % 53.50/53.72 (define @t5765 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4914 @t4975) @t5603))) % 53.50/53.72 (define @t5766 () (@list @t4975)) % 53.50/53.72 (define @t5767 () (@var "V_fs_2" $$unsorted)) % 53.50/53.72 (define @t5768 () (tptp.tc_fun @t8 tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5769 () (tptp.hBOOL (tptp.hAPP @t3144 (tptp.c_List_Omeasures @t8 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5768) @t2) @t5767))))) % 53.50/53.72 (define @t5770 () (tptp.c_List_Omeasures @t8 @t5767)) % 53.50/53.72 (define @t5771 () (tptp.hBOOL (tptp.hAPP @t3144 @t5770))) % 53.50/53.72 (define @t5772 () (@list @t5767 @t8 @t57 @t48 @t2)) % 53.50/53.72 (define @t5773 () (@list @t5767 @t8)) % 53.50/53.72 (define @t5774 () (tptp.tc_List_Olist @t5768)) % 53.50/53.72 (define @t5775 () (tptp.c_COMBS @t8 @t49 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t5776 () (tptp.c_Enum_Oenum__class_Oenum__ex @t8)) % 53.50/53.72 (define @t5777 () (tptp.class_Enum_Oenum @t8)) % 53.50/53.72 (define @t5778 () (and (tptp.class_Orderings_Oorder @t49) @t5777)) % 53.50/53.72 (define @t5779 () (and (tptp.class_Enum_Oenum @t49) @t5777)) % 53.50/53.72 (define @t5780 () (tptp.hBOOL (tptp.hAPP @t5776 @t178))) % 53.50/53.72 (define @t5781 () (tptp.hAPP (tptp.hAPP @t5486 @t5071) @t4851)) % 53.50/53.72 (define @t5782 () (tptp.hAPP (tptp.hAPP @t5004 @t5071) @t4854)) % 53.50/53.72 (define @t5783 () (@var "V_seed_2" $$unsorted)) % 53.50/53.72 (define @t5784 () (@var "V_size_2" $$unsorted)) % 53.50/53.72 (define @t5785 () (@var "V_nrandom_2" $$unsorted)) % 53.50/53.72 (define @t5786 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2733 @t5785) @t5784) @t5783)) % 53.50/53.72 (define @t5787 () (@list @t4851 @t178 @t4854 @t8)) % 53.50/53.72 (define @t5788 () (exists @t5331 (and (= @t4851 (tptp.hAPP @t5282 (tptp.hAPP @t4909 @t5330))) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t181 (tptp.hAPP @t5012 @t5281))) @t4390)) @t310 (= @t4854 (tptp.hAPP @t5627 @t5330))))) % 53.50/53.72 (define @t5789 () (tptp.c_Enum_Oenum__class_Oenum__all @t8)) % 53.50/53.72 (define @t5790 () (tptp.hBOOL (tptp.hAPP @t5789 @t178))) % 53.50/53.72 (define @t5791 () (tptp.hBOOL (tptp.hAPP @t178 @t4986))) % 53.50/53.72 (define @t5792 () (tptp.c_List_Olist__ex @t8 @t178 @t4854)) % 53.50/53.72 (define @t5793 () (= @t4854 (tptp.hAPP (tptp.hAPP @t5259 @t4975) (tptp.hAPP @t4909 @t5761)))) % 53.50/53.72 (define @t5794 () (exists @t7 (and @t5048 @t180))) % 53.50/53.72 (define @t5795 () (@list @t4975 @t5761)) % 53.50/53.72 (define @t5796 () (tptp.c_List_Olist__all @t8 @t178 @t4854)) % 53.50/53.72 (define @t5797 () (tptp.c_FunDef_Ois__measure @t8 @t2)) % 53.50/53.72 (define @t5798 () (@list @t49 @t2 @t8)) % 53.50/53.72 (define @t5799 () (tptp.c_List_Olist__ex1 @t8 @t178 @t4854)) % 53.50/53.72 (define @t5800 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t5801 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2664)) % 53.50/53.72 (define @t5802 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 tptp.tc_Code__Numeral_Ocode__numeral @t5801) @t2) @t972)) % 53.50/53.72 (define @t5803 () (tptp.hAPP @t48 (tptp.hAPP (tptp.hAPP @t2078 @t972) @t2061))) % 53.50/53.72 (define @t5804 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t49 @t8 @t48 @t2) @t972)) % 53.50/53.72 (define @t5805 () (= @t972 @t2077)) % 53.50/53.72 (define @t5806 () (not @t5805)) % 53.50/53.72 (define @t5807 () (@list @t2 @t48 @t8 @t49 @t972)) % 53.50/53.72 (define @t5808 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t8)) % 53.50/53.72 (define @t5809 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 tptp.tc_Code__Numeral_Ocode__numeral @t5808) @t2) @t972)) % 53.50/53.72 (define @t5810 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t49 @t8 @t48 @t2) @t972)) % 53.50/53.72 (define @t5811 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5801)) % 53.50/53.72 (define @t5812 () (tptp.tc_fun @t3174 @t5811)) % 53.50/53.72 (define @t5813 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5812)) % 53.50/53.72 (define @t5814 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 @t3174 @t5811) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 tptp.tc_Code__Numeral_Ocode__numeral @t5812) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 tptp.tc_Code__Numeral_Ocode__numeral @t5813) @t2) @t5785)) @t5784)) @t5783)) % 53.50/53.72 (define @t5815 () (@list @t5783 @t5784 @t5785 @t2 @t2733 @t8 @t49)) % 53.50/53.72 (define @t5816 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5808)) % 53.50/53.72 (define @t5817 () (tptp.tc_fun @t3174 @t5816)) % 53.50/53.72 (define @t5818 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5817)) % 53.50/53.72 (define @t5819 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 @t3174 @t5816) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 tptp.tc_Code__Numeral_Ocode__numeral @t5817) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 tptp.tc_Code__Numeral_Ocode__numeral @t5818) @t2) @t5785)) @t5784)) @t5783)) % 53.50/53.72 (define @t5820 () (tptp.hAPP @t48 @t972)) % 53.50/53.72 (define @t5821 () (@list @t972 @t2 @t48 @t8 @t49)) % 53.50/53.72 (define @t5822 () (@var "V_i_1" $$unsorted)) % 53.50/53.72 (define @t5823 () (tptp.c_New__Random__Sequence_Oneg__single @t8)) % 53.50/53.72 (define @t5824 () (@list @t178 @t2 @t8 @t49)) % 53.50/53.72 (define @t5825 () (@list @t5783 @t5784 @t5785 @t48 @t8)) % 53.50/53.72 (define @t5826 () (@list @t5822 @t97 @t98)) % 53.50/53.72 (define @t5827 () (tptp.c_New__Random__Sequence_Opos__single @t8)) % 53.50/53.72 (define @t5828 () (tptp.c_List_Osplice @t98 @t4844 @t4843)) % 53.50/53.72 (define @t5829 () (@var "V_va" $$unsorted)) % 53.50/53.72 (define @t5830 () (tptp.hAPP (tptp.hAPP @t4893 @t1132) @t5829)) % 53.50/53.72 (define @t5831 () (tptp.c_Predicate_Oconversep @t49 @t8 @t3148)) % 53.50/53.72 (define @t5832 () (tptp.c_Predicate_Oconversep @t49 @t8 @t2067)) % 53.50/53.72 (define @t5833 () (tptp.c_Predicate_Oconversep @t8 @t49 @t2067)) % 53.50/53.72 (define @t5834 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2067 @t33) @t13))) % 53.50/53.72 (define @t5835 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5833 @t13) @t33))) % 53.50/53.72 (define @t5836 () (@list @t33 @t13 @t2067 @t49 @t8)) % 53.50/53.72 (define @t5837 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2660)) % 53.50/53.72 (define @t5838 () (tptp.tc_fun @t49 @t5837)) % 53.50/53.72 (define @t5839 () (@var "V_s2_2" $$unsorted)) % 53.50/53.72 (define @t5840 () (@var "V_s1_2" $$unsorted)) % 53.50/53.72 (define @t5841 () (tptp.c_List_Oreplicate @t98 @t658 @t97)) % 53.50/53.72 (define @t5842 () (@list @t97 @t98 @t658)) % 53.50/53.72 (define @t5843 () (tptp.hAPP (tptp.c_List_Ofilter @t8 @t4185) @t4854)) % 53.50/53.72 (define @t5844 () (@list @t97 @t658 @t98)) % 53.50/53.72 (define @t5845 () (@var "V_lst_2" $$unsorted)) % 53.50/53.72 (define @t5846 () (tptp.hAPP @t5272 @t5841)) % 53.50/53.72 (define @t5847 () (tptp.hAPP @t1633 @t730)) % 53.50/53.72 (define @t5848 () (tptp.c_List_Oreplicate @t98 @t726 @t97)) % 53.50/53.72 (define @t5849 () (@list @t97 @t726 @t730 @t98)) % 53.50/53.72 (define @t5850 () (tptp.c_List_Oreplicate @t98 @t730 @t97)) % 53.50/53.72 (define @t5851 () (tptp.hBOOL (tptp.hAPP @t181 (tptp.hAPP @t5012 (tptp.c_List_Oreplicate @t8 @t672 @t13))))) % 53.50/53.72 (define @t5852 () (@list @t178 @t13 @t672 @t8)) % 53.50/53.72 (define @t5853 () (tptp.c_List_Oreplicate @t8 @t672 @t57)) % 53.50/53.72 (define @t5854 () (tptp.c_List_Oreplicate @t8 @t672 @t48)) % 53.50/53.72 (define @t5855 () (tptp.hAPP @t5627 @t5854)) % 53.50/53.72 (define @t5856 () (@list @t48 @t672 @t8)) % 53.50/53.72 (define @t5857 () (tptp.hAPP @t5012 @t5854)) % 53.50/53.72 (define @t5858 () (=> @t1208 (= @t5857 @t53))) % 53.50/53.72 (define @t5859 () (@list @t48 @t8 @t672)) % 53.50/53.72 (define @t5860 () (tptp.c_Lazy__Sequence_Osingle @t4579)) % 53.50/53.72 (define @t5861 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t4579)) % 53.50/53.72 (define @t5862 () (tptp.hAPP (tptp.hAPP @t1632 @t35) @t1708)) % 53.50/53.72 (define @t5863 () (tptp.class_Lazy__Sequence_Osmall__lazy @t8)) % 53.50/53.72 (define @t5864 () (@var "V_yq_2" $$unsorted)) % 53.50/53.72 (define @t5865 () (tptp.hAPP @t5530 @t972)) % 53.50/53.72 (define @t5866 () (@var "V_lazy__sequence" $$unsorted)) % 53.50/53.72 (define @t5867 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t98)) % 53.50/53.72 (define @t5868 () (tptp.c_Nat_Osize__class_Osize @t5867)) % 53.50/53.72 (define @t5869 () (@var "V_yq" $$unsorted)) % 53.50/53.72 (define @t5870 () (@var "V_xq" $$unsorted)) % 53.50/53.72 (define @t5871 () (@var "V_lazy__sequence_H_2" $$unsorted)) % 53.50/53.72 (define @t5872 () (@var "V_lazy__sequence_2" $$unsorted)) % 53.50/53.72 (define @t5873 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t13 @t5872)) % 53.50/53.72 (define @t5874 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t8 @t1550)) % 53.50/53.72 (define @t5875 () (tptp.c_Lazy__Sequence_Osingle tptp.tc_Int_Oint)) % 53.50/53.72 (define @t5876 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t284 @t730)) % 53.50/53.72 (define @t5877 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t284) @t730))) % 53.50/53.72 (define @t5878 () (tptp.c_Lazy__Sequence_Oempty tptp.tc_Int_Oint)) % 53.50/53.72 (define @t5879 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t35 @t972)) % 53.50/53.72 (define @t5880 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t35) @t972))) % 53.50/53.72 (define @t5881 () (tptp.c_Wellfounded_Oaccp @t2850 tptp.c_Lazy__Sequence_Osmall__lazy_H__rel)) % 53.50/53.72 (define @t5882 () (tptp.c_Lazy__Sequence_Oyield @t8)) % 53.50/53.72 (define @t5883 () (tptp.hAPP @t5882 @t5530)) % 53.50/53.72 (define @t5884 () (tptp.c_Nat_Osize__class_Osize @t5808)) % 53.50/53.72 (define @t5885 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2708 @t5808) @t796)) % 53.50/53.72 (define @t5886 () (tptp.c_COMBC @t5808 tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5887 () (tptp.tc_fun @t5808 tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5888 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t5808 tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t5889 () (tptp.tc_prod @t8 @t5808)) % 53.50/53.72 (define @t5890 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t8 @t3148)) % 53.50/53.72 (define @t5891 () (tptp.tc_fun @t5808 @t2708)) % 53.50/53.72 (define @t5892 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t49)) % 53.50/53.72 (define @t5893 () (tptp.hAPP @t5239 @t5872)) % 53.50/53.72 (define @t5894 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t49 @t13 @t5872)) % 53.50/53.72 (define @t5895 () (@list @t5872 @t13 @t2638 @t1683 @t49 @t8)) % 53.50/53.72 (define @t5896 () (forall @t7 (=> @t1068 (tptp.c_Relation_Orefl__on @t49 @t3367 @t3053)))) % 53.50/53.72 (define @t5897 () (@list @t2067 @t25 @t49 @t1067 @t8)) % 53.50/53.72 (define @t5898 () (tptp.c_List_Omember @t8)) % 53.50/53.72 (define @t5899 () (tptp.hAPP @t5898 @t4854)) % 53.50/53.72 (define @t5900 () (tptp.hBOOL (tptp.hAPP @t5899 @t48))) % 53.50/53.72 (define @t5901 () (@var "B_T2" $$unsorted)) % 53.50/53.72 (define @t5902 () (@var "B_T1" $$unsorted)) % 53.50/53.72 (define @t5903 () (tptp.c_FunDef_OTHE__default @t8 @t35 @t178)) % 53.50/53.72 (define @t5904 () (exists @t7 (and @t180 (forall @t1089 (=> @t4453 @t4121))))) % 53.50/53.72 (define @t5905 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t98)) % 53.50/53.72 (define @t5906 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t8)) % 53.50/53.72 (define @t5907 () (@var "V_lazy__sequence_H" $$unsorted)) % 53.50/53.72 (define @t5908 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t98 @t2225 @t5907)) % 53.50/53.72 (define @t5909 () (@list @t5907 @t2225 @t98)) % 53.50/53.72 (define @t5910 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t49)) % 53.50/53.72 (define @t5911 () (tptp.c_List_Oall__interval__int @t178 @t972 @t971)) % 53.50/53.72 (define @t5912 () (@list @t971 @t972 @t178)) % 53.50/53.72 (define @t5913 () (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm)) % 53.50/53.72 (define @t5914 () (tptp.c_DSequence_Osingle @t8)) % 53.50/53.72 (define @t5915 () (tptp.tc_prod @t8 @t5913)) % 53.50/53.72 (define @t5916 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption @t5808)))) % 53.50/53.72 (define @t5917 () (tptp.tc_fun @t5916 @t5916)) % 53.50/53.72 (define @t5918 () (tptp.c_Product__Type_OPair @t5916 @t3174)) % 53.50/53.72 (define @t5919 () (tptp.tc_prod @t5916 @t3174)) % 53.50/53.72 (define @t5920 () (tptp.tc_fun @t3174 @t5919)) % 53.50/53.72 (define @t5921 () (tptp.tc_fun @t5916 @t5920)) % 53.50/53.72 (define @t5922 () (tptp.c_Random__Sequence_ORandom @t8 @t1 @t5785 @t5784)) % 53.50/53.72 (define @t5923 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2689 @t5785) @t2077))) % 53.50/53.72 (define @t5924 () (tptp.hAPP @t5918 (tptp.c_DSequence_Oempty @t8))) % 53.50/53.72 (define @t5925 () (tptp.c_Random__Sequence_Osingle @t8)) % 53.50/53.72 (define @t5926 () (tptp.hAPP @t4410 (tptp.hAPP @t4409 @t4596))) % 53.50/53.72 (define @t5927 () (tptp.hAPP @t4436 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 tptp.tc_HOL_Obool @t29) @t4482) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 @t80 @t29) @t5926) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t29 @t3397 @t80) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1048 @t4599 @t29) @t4449) tptp.c_fequal)) @t88))))) % 53.50/53.72 (define @t5928 () (tptp.tc_fun @t50 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t5929 () (tptp.tc_fun @t50 @t8)) % 53.50/53.72 (define @t5930 () (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5928 tptp.tc_HOL_Obool @t8) (tptp.c_HOL_OEx @t50)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5928 @t5928 @t8) (tptp.hAPP (tptp.c_COMBS @t50 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2668 @t50) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t50 @t5928 tptp.tc_HOL_Obool) (tptp.c_member @t50)) @t25)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5929 @t5928) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 (tptp.tc_fun @t5929 @t5928) @t8) (tptp.c_COMBB @t8 tptp.tc_HOL_Obool @t50)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t50 @t49 @t8) (tptp.c_COMBI @t50)) @t48)))))) % 53.50/53.72 (define @t5931 () (tptp.tc_fun @t4113 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t5932 () (tptp.tc_fun @t4113 @t49)) % 53.50/53.72 (define @t5933 () (@var "V_L_2" $$unsorted)) % 53.50/53.72 (define @t5934 () (tptp.c_Relation_Otrans @t8 @t2067)) % 53.50/53.72 (define @t5935 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t4689 @t1529)) @t2067))) % 53.50/53.72 (define @t5936 () (tptp.c_Predicate_Otransp @t8 @t2067)) % 53.50/53.72 (define @t5937 () (tptp.c_Relation_Oantisym @t8 @t2067)) % 53.50/53.72 (define @t5938 () (tptp.hAPP @t2067 @t57)) % 53.50/53.72 (define @t5939 () (tptp.hBOOL (tptp.hAPP @t4756 @t2067))) % 53.50/53.72 (define @t5940 () (@list @t33 @t13 @t2067 @t8)) % 53.50/53.72 (define @t5941 () (tptp.c_Predicate_Otransp @t8 @t2733)) % 53.50/53.72 (define @t5942 () (tptp.c_Predicate_Osymp @t8 @t2733)) % 53.50/53.72 (define @t5943 () (=> @t5942 (not @t5941))) % 53.50/53.72 (define @t5944 () (tptp.c_Predicate_Oreflp @t8 @t2733)) % 53.50/53.72 (define @t5945 () (tptp.c_Predicate_Osymp @t8 @t2067)) % 53.50/53.72 (define @t5946 () (tptp.c_Relation_Osym @t8 @t2067)) % 53.50/53.72 (define @t5947 () (tptp.c_Equiv__Relations_Opart__equivp @t8 @t2733)) % 53.50/53.72 (define @t5948 () (tptp.hBOOL (tptp.hAPP @t4080 @t3))) % 53.50/53.72 (define @t5949 () (exists @t7 @t5948)) % 53.50/53.72 (define @t5950 () (tptp.c_Relation_Osym @t8 @t3148)) % 53.50/53.72 (define @t5951 () (tptp.c_Hilbert__Choice_Oinv__into @t8 @t49 @t2651 @t2)) % 53.50/53.72 (define @t5952 () (= (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t8 @t8 @t5951) @t2) @t4485)) % 53.50/53.72 (define @t5953 () (tptp.c_Hilbert__Choice_Oinv__into @t49 @t8 @t25 @t2)) % 53.50/53.72 (define @t5954 () (tptp.c_Hilbert__Choice_Oinv__into @t8 @t49 @t25 @t2)) % 53.50/53.72 (define @t5955 () (tptp.c_Hilbert__Choice_Oinv__into @t49 @t8 @t2653 @t2)) % 53.50/53.72 (define @t5956 () (tptp.c_Set_Oimage @t49 @t8 @t5951)) % 53.50/53.72 (define @t5957 () (tptp.hAPP @t5951 @t57)) % 53.50/53.72 (define @t5958 () (tptp.hAPP @t5954 @t57)) % 53.50/53.72 (define @t5959 () (tptp.hAPP @t5954 @t48)) % 53.50/53.72 (define @t5960 () (tptp.hAPP @t4658 @t4299)) % 53.50/53.72 (define @t5961 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t3)) % 53.50/53.72 (define @t5962 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3205 @t429) @t3220))) % 53.50/53.72 (define @t5963 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t429)) % 53.50/53.72 (define @t5964 () (tptp.c_Quickcheck_Obeyond @t726 @t740)) % 53.50/53.72 (define @t5965 () (tptp.c_Fun_Obij__betw @t8 @t49 @t2 @t2651 @t2653)) % 53.50/53.72 (define @t5966 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t8 @t49 tptp.tc_HOL_Obool @t2) @t13) @t33))) % 53.50/53.72 (define @t5967 () (tptp.hBOOL (tptp.hAPP @t2 @t3038))) % 53.50/53.72 (define @t5968 () (tptp.c_Fun_Obij__betw @t8 @t49 @t2 @t25 @t4002)) % 53.50/53.72 (define @t5969 () (tptp.c_Fun_Obij__betw @t8 @t49 @t2 @t25 @t88)) % 53.50/53.72 (define @t5970 () (tptp.c_Fun_Obij__betw @t8 @t49 @t2 @t88 @t4339)) % 53.50/53.72 (define @t5971 () (= @t4122 @t2653)) % 53.50/53.72 (define @t5972 () (@var "V_A_H_H_2" $$unsorted)) % 53.50/53.72 (define @t5973 () (tptp.hAPP @t503 @t1788)) % 53.50/53.72 (define @t5974 () (@var "B_h" $$unsorted)) % 53.50/53.72 (define @t5975 () (@list @t5974)) % 53.50/53.72 (define @t5976 () (tptp.hBOOL (tptp.hAPP @t334 @t1788))) % 53.50/53.72 (define @t5977 () (tptp.hAPP @t3752 @t5973)) % 53.50/53.72 (define @t5978 () (tptp.c_Quotient_ORespects @t8 @t2733)) % 53.50/53.72 (define @t5979 () (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t181 @t5978)) @t180))) % 53.50/53.72 (define @t5980 () (tptp.hAPP @t498 @t171)) % 53.50/53.72 (define @t5981 () (@var "V_by_2" $$unsorted)) % 53.50/53.72 (define @t5982 () (@var "V_bx_2" $$unsorted)) % 53.50/53.72 (define @t5983 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5982) @t5981))) % 53.50/53.72 (define @t5984 () (@var "B_ba" $$unsorted)) % 53.50/53.72 (define @t5985 () (@var "B_aa" $$unsorted)) % 53.50/53.72 (define @t5986 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5985) @t5984))) % 53.50/53.72 (define @t5987 () (tptp.hAPP (tptp.hAPP @t2739 @t5985) @t5984)) % 53.50/53.72 (define @t5988 () (tptp.hAPP @t3233 @t3065)) % 53.50/53.72 (define @t5989 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3234 (tptp.hAPP @t5988 @t5987)) @t2067))) % 53.50/53.72 (define @t5990 () (tptp.c_Transitive__Closure_Ortrancl @t2660 @t2067)) % 53.50/53.72 (define @t5991 () (@var "V_ay_2" $$unsorted)) % 53.50/53.72 (define @t5992 () (@var "V_ax_2" $$unsorted)) % 53.50/53.72 (define @t5993 () (tptp.hAPP @t3233 (tptp.hAPP (tptp.hAPP @t2739 @t5992) @t5991))) % 53.50/53.72 (define @t5994 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5992) @t5991))) % 53.50/53.72 (define @t5995 () (tptp.hAPP (tptp.hAPP @t2739 @t5982) @t5981)) % 53.50/53.72 (define @t5996 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3234 (tptp.hAPP @t5993 @t5995)) @t5990))) % 53.50/53.72 (define @t5997 () (@list @t178 @t2067 @t5981 @t5982 @t5991 @t5992 @t49 @t8)) % 53.50/53.72 (define @t5998 () (@var "V_zb_2" $$unsorted)) % 53.50/53.72 (define @t5999 () (@var "V_za_2" $$unsorted)) % 53.50/53.72 (define @t6000 () (tptp.hAPP (tptp.hAPP @t2739 @t5999) @t5998)) % 53.50/53.72 (define @t6001 () (@var "V_xb_2" $$unsorted)) % 53.50/53.72 (define @t6002 () (tptp.hAPP (tptp.hAPP @t2739 @t3585) @t6001)) % 53.50/53.72 (define @t6003 () (tptp.hAPP @t3233 @t6002)) % 53.50/53.72 (define @t6004 () (@var "B_z2" $$unsorted)) % 53.50/53.72 (define @t6005 () (@var "B_z1" $$unsorted)) % 53.50/53.72 (define @t6006 () (@var "B_y2" $$unsorted)) % 53.50/53.72 (define @t6007 () (@var "B_y1" $$unsorted)) % 53.50/53.72 (define @t6008 () (@var "V_xqq" $$unsorted)) % 53.50/53.72 (define @t6009 () (tptp.c_List_Oall__interval__nat @t178 @t972 @t971)) % 53.50/53.72 (define @t6010 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 53.50/53.72 (define @t6011 () (tptp.hAPP @t6010 @t97)) % 53.50/53.72 (define @t6012 () (tptp.c_Rings_Odvd__class_Odvd @t98)) % 53.50/53.72 (define @t6013 () (tptp.hAPP @t6012 @t197)) % 53.50/53.72 (define @t6014 () (tptp.hAPP @t6010 @t726)) % 53.50/53.72 (define @t6015 () (tptp.hBOOL (tptp.hAPP @t6014 @t658))) % 53.50/53.72 (define @t6016 () (tptp.hAPP @t6010 @t673)) % 53.50/53.72 (define @t6017 () (tptp.hBOOL (tptp.hAPP @t6016 @t672))) % 53.50/53.72 (define @t6018 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6010 @t1216) @t1215))) % 53.50/53.72 (define @t6019 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6010 @t662) @t658))) % 53.50/53.72 (define @t6020 () (tptp.c_Rings_Odvd__class_Odvd @t8)) % 53.50/53.72 (define @t6021 () (tptp.class_Divides_Osemiring__div @t8)) % 53.50/53.72 (define @t6022 () (tptp.c_Divides_Odiv__class_Odiv @t8)) % 53.50/53.72 (define @t6023 () (tptp.hAPP (tptp.hAPP @t6022 @t33) @t13)) % 53.50/53.72 (define @t6024 () (tptp.hAPP @t6020 @t13)) % 53.50/53.72 (define @t6025 () (tptp.hBOOL (tptp.hAPP @t6024 @t33))) % 53.50/53.72 (define @t6026 () (tptp.hBOOL (tptp.hAPP @t6014 @t662))) % 53.50/53.72 (define @t6027 () (tptp.hBOOL (tptp.hAPP @t6014 @t685))) % 53.50/53.72 (define @t6028 () (tptp.hAPP @t6012 @t2547)) % 53.50/53.72 (define @t6029 () (tptp.hAPP @t6012 @t2527)) % 53.50/53.72 (define @t6030 () (tptp.hAPP @t6012 @t97)) % 53.50/53.72 (define @t6031 () (tptp.hBOOL (tptp.hAPP @t6030 @t152))) % 53.50/53.72 (define @t6032 () (tptp.hAPP @t6010 @t33)) % 53.50/53.72 (define @t6033 () (tptp.hBOOL (tptp.hAPP @t6032 @t35))) % 53.50/53.72 (define @t6034 () (tptp.hAPP @t6010 @t32)) % 53.50/53.72 (define @t6035 () (tptp.hBOOL (tptp.hAPP @t6034 @t13))) % 53.50/53.72 (define @t6036 () (tptp.hAPP @t6010 @t13)) % 53.50/53.72 (define @t6037 () (tptp.hBOOL (tptp.hAPP @t6036 @t33))) % 53.50/53.72 (define @t6038 () (not @t6037)) % 53.50/53.72 (define @t6039 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t6010 @t32 @t35)) % 53.50/53.72 (define @t6040 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t6010 @t13 @t33)) % 53.50/53.72 (define @t6041 () (@list @t35 @t32 @t33 @t13)) % 53.50/53.72 (define @t6042 () (tptp.hAPP @t6010 @t676)) % 53.50/53.72 (define @t6043 () (tptp.hBOOL (tptp.hAPP @t6042 @t972))) % 53.50/53.72 (define @t6044 () (tptp.hAPP @t3205 @t972)) % 53.50/53.72 (define @t6045 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6010 @t972) @t676))) % 53.50/53.72 (define @t6046 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t2858 @t2858) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5008 @t3744 tptp.tc_Nat_Onat) @t4348) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2858 @t5008 tptp.tc_Nat_Onat) @t4347) @t6010))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2858 @t2858 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 @t4343 @t6010)))) % 53.50/53.72 (define @t6047 () (tptp.hBOOL (tptp.hAPP @t6013 @t200))) % 53.50/53.72 (define @t6048 () (tptp.hBOOL (tptp.hAPP @t6011 @t152))) % 53.50/53.72 (define @t6049 () (tptp.hAPP @t6010 @t152)) % 53.50/53.72 (define @t6050 () (tptp.hBOOL (tptp.hAPP @t6049 @t97))) % 53.50/53.72 (define @t6051 () (and @t6048 (not @t6050))) % 53.50/53.72 (define @t6052 () (tptp.hAPP @t6010 @t216)) % 53.50/53.72 (define @t6053 () (tptp.hBOOL (tptp.hAPP @t6011 @t216))) % 53.50/53.72 (define @t6054 () (and @t6053 (not (tptp.hBOOL (tptp.hAPP @t6052 @t97))))) % 53.50/53.72 (define @t6055 () (tptp.hBOOL (tptp.hAPP @t6049 @t216))) % 53.50/53.72 (define @t6056 () (=> (and @t6055 (not (tptp.hBOOL (tptp.hAPP @t6052 @t152)))) @t6054)) % 53.50/53.72 (define @t6057 () (tptp.hAPP @t6010 @t197)) % 53.50/53.72 (define @t6058 () (tptp.hBOOL (tptp.hAPP @t6057 @t200))) % 53.50/53.72 (define @t6059 () (tptp.hAPP @t6010 @t200)) % 53.50/53.72 (define @t6060 () (tptp.hBOOL (tptp.hAPP @t6059 @t197))) % 53.50/53.72 (define @t6061 () (and @t6058 (not @t6060))) % 53.50/53.72 (define @t6062 () (tptp.hAPP @t6010 @t196)) % 53.50/53.72 (define @t6063 () (tptp.hBOOL (tptp.hAPP @t6057 @t196))) % 53.50/53.72 (define @t6064 () (and @t6063 (not (tptp.hBOOL (tptp.hAPP @t6062 @t197))))) % 53.50/53.72 (define @t6065 () (tptp.hBOOL (tptp.hAPP @t6059 @t196))) % 53.50/53.72 (define @t6066 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6010 @t658) @t662))) % 53.50/53.72 (define @t6067 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6010 @t48) @t57))) % 53.50/53.72 (define @t6068 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6010 @t57) @t48))) % 53.50/53.72 (define @t6069 () (and @t6067 (not @t6068))) % 53.50/53.72 (define @t6070 () (tptp.hBOOL (tptp.hAPP @t6013 @t196))) % 53.50/53.72 (define @t6071 () (tptp.hAPP @t6012 @t200)) % 53.50/53.72 (define @t6072 () (tptp.hBOOL (tptp.hAPP @t6071 @t196))) % 53.50/53.72 (define @t6073 () (tptp.hAPP @t6020 @t673)) % 53.50/53.72 (define @t6074 () (tptp.hBOOL (tptp.hAPP @t6073 @t676))) % 53.50/53.72 (define @t6075 () (@list @t676 @t673 @t8)) % 53.50/53.72 (define @t6076 () (tptp.hAPP @t6020 @t676)) % 53.50/53.72 (define @t6077 () (tptp.hAPP @t6012 @t196)) % 53.50/53.72 (define @t6078 () (tptp.hBOOL (tptp.hAPP @t6077 @t200))) % 53.50/53.72 (define @t6079 () (tptp.hAPP @t6012 @t726)) % 53.50/53.72 (define @t6080 () (tptp.hBOOL (tptp.hAPP @t6079 (tptp.c_Divides_Odiv__class_Omod @t98 @t662 @t658)))) % 53.50/53.72 (define @t6081 () (tptp.hBOOL (tptp.hAPP @t6079 @t658))) % 53.50/53.72 (define @t6082 () (tptp.hBOOL (tptp.hAPP @t6079 @t662))) % 53.50/53.72 (define @t6083 () (@list @t658 @t662 @t726 @t98)) % 53.50/53.72 (define @t6084 () (tptp.hAPP @t2404 @t658)) % 53.50/53.72 (define @t6085 () (tptp.hAPP @t2203 @t97)) % 53.50/53.72 (define @t6086 () (tptp.hAPP @t6012 @t216)) % 53.50/53.72 (define @t6087 () (tptp.hAPP @t6020 @t48)) % 53.50/53.72 (define @t6088 () (tptp.hBOOL (tptp.hAPP @t6087 @t57))) % 53.50/53.72 (define @t6089 () (tptp.class_Rings_Ocomm__ring__1 @t8)) % 53.50/53.72 (define @t6090 () (tptp.hAPP @t6085 @t152)) % 53.50/53.72 (define @t6091 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6012 @t152) @t97))) % 53.50/53.72 (define @t6092 () (tptp.hAPP @t2074 @t6090)) % 53.50/53.72 (define @t6093 () (= @t6040 @t3187)) % 53.50/53.72 (define @t6094 () (tptp.hBOOL (tptp.hAPP @t6032 @t13))) % 53.50/53.72 (define @t6095 () (tptp.c_SetInterval_Oord_OgreaterThanAtMost tptp.tc_Nat_Onat @t6010 @t6046 @t676 @t1695)) % 53.50/53.72 (define @t6096 () (= @t6095 @t3187)) % 53.50/53.72 (define @t6097 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6010 @t1695) @t676))) % 53.50/53.72 (define @t6098 () (@list @t676 @t1695)) % 53.50/53.72 (define @t6099 () (tptp.c_SetInterval_Oord_OatLeastLessThan tptp.tc_Nat_Onat @t6010 @t6046 @t13 @t33)) % 53.50/53.72 (define @t6100 () (= @t6099 @t3187)) % 53.50/53.72 (define @t6101 () (not (and (tptp.hBOOL (tptp.hAPP @t6042 @t1695)) (not @t6097)))) % 53.50/53.72 (define @t6102 () (not (and @t6037 (not @t6094)))) % 53.50/53.72 (define @t6103 () (tptp.hAPP (tptp.hAPP @t3193 @t13) @t3187)) % 53.50/53.72 (define @t6104 () (tptp.hAPP @t6020 @t35)) % 53.50/53.72 (define @t6105 () (tptp.hAPP @t844 @t3)) % 53.50/53.72 (define @t6106 () (tptp.class_Rings_Odvd @t8)) % 53.50/53.72 (define @t6107 () (tptp.hAPP @t2203 @t200)) % 53.50/53.72 (define @t6108 () (tptp.hAPP @t6107 @t197)) % 53.50/53.72 (define @t6109 () (tptp.hAPP @t473 @t6108)) % 53.50/53.72 (define @t6110 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6012 @t477) @t196))) % 53.50/53.72 (define @t6111 () (tptp.hBOOL (tptp.hAPP @t6013 @t475))) % 53.50/53.72 (define @t6112 () (or @t1441 @t6025)) % 53.50/53.72 (define @t6113 () (tptp.c_Rings_Odvd__class_Odvd @t49)) % 53.50/53.72 (define @t6114 () (@var "T_1" $$unsorted)) % 53.50/53.72 (define @t6115 () (@var "T_2" $$unsorted)) % 53.50/53.72 (define @t6116 () (tptp.tc_fun @t6115 @t6114)) % 53.50/53.72 (define @t6117 () (tptp.class_Lattices_Obounded__lattice @t6114)) % 53.50/53.72 (define @t6118 () (@list @t6115 @t6114)) % 53.50/53.72 (define @t6119 () (tptp.class_Lattices_Olattice @t6114)) % 53.50/53.72 (define @t6120 () (tptp.class_Orderings_Opreorder @t6116)) % 53.50/53.72 (define @t6121 () (tptp.class_Orderings_Opreorder @t6114)) % 53.50/53.72 (define @t6122 () (forall @t6118 (=> @t6121 @t6120))) % 53.50/53.72 (define @t6123 () (tptp.class_Finite__Set_Ofinite @t6114)) % 53.50/53.72 (define @t6124 () (and (tptp.class_Finite__Set_Ofinite @t6115) @t6123)) % 53.50/53.72 (define @t6125 () (@list @t6114 @t6115)) % 53.50/53.72 (define @t6126 () (tptp.class_Enum_Oenum @t6114)) % 53.50/53.72 (define @t6127 () (and (tptp.class_Enum_Oenum @t6115) @t6126)) % 53.50/53.72 (define @t6128 () (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t6129 () (tptp.tc_List_Olist @t6114)) % 53.50/53.72 (define @t6130 () (tptp.class_Lazy__Sequence_Osmall__lazy @t6114)) % 53.50/53.72 (define @t6131 () (@list @t6114)) % 53.50/53.72 (define @t6132 () (tptp.tc_sum @t6115 @t6114)) % 53.50/53.72 (define @t6133 () (tptp.tc_Option_Ooption @t6114)) % 53.50/53.72 (define @t6134 () (tptp.tc_prod @t6115 @t6114)) % 53.50/53.72 (define @t6135 () (@var "V_P" $$unsorted)) % 53.50/53.72 (define @t6136 () (@var "V_Q" $$unsorted)) % 53.50/53.72 (define @t6137 () (tptp.hAPP @t305 @t2733)) % 53.50/53.72 (define @t6138 () (tptp.hAPP @t178 @t2733)) % 53.50/53.72 (define @t6139 () (@list @t2733 @t305 @t178 @t8 @t1685 @t49)) % 53.50/53.72 (define @t6140 () (tptp.hBOOL (tptp.hAPP @t4185 @t57))) % 53.50/53.72 (define @t6141 () (tptp.hBOOL @t178)) % 53.50/53.72 (define @t6142 () (not @t6141)) % 53.50/53.72 (define @t6143 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t178))) % 53.50/53.72 (define @t6144 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t178) @t305))) % 53.50/53.72 (define @t6145 () (tptp.hBOOL @t305)) % 53.50/53.72 (define @t6146 () (not @t6145)) % 53.50/53.72 (define @t6147 () (@list @t305 @t178)) % 53.50/53.72 (define @t6148 () (not @t6144)) % 53.50/53.72 (define @t6149 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t178) @t305))) % 53.50/53.72 (define @t6150 () (@list @t178 @t305)) % 53.50/53.72 (define @t6151 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t178) @t305))) % 53.50/53.72 (define @t6152 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 53.50/53.72 (define @t6153 () (tptp.tc_fun @t6152 tptp.tc_HOL_Obool)) % 53.50/53.72 (define @t6154 () (tptp.c_Orderings_Obot__class_Obot @t6153)) % 53.50/53.72 (define @t6155 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t6152) tptp.v_t) @t6154)) % 53.50/53.72 (define @t6156 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a @t6155 @t6155)) % 53.50/53.72 (define @t6157 () (tptp.class_Orderings_Opreorder @t6153)) % 53.50/53.72 (define @t6158 () (not @t6128)) % 53.50/53.72 (define @t6159 () (or @t6158 @t6157)) % 53.50/53.72 (define @t6160 () (tptp.c_Orderings_Oord__class_Oless__eq @t6153)) % 53.50/53.73 (define @t6161 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6160 @t6155) @t6155))) % 53.50/53.73 (define @t6162 () (not @t6161)) % 53.50/53.73 (define @t6163 () (or @t6162 @t6156)) % 53.50/53.73 (define @t6164 () (@list true false)) % 53.50/53.73 (define @t6165 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6160 @t6154) @t6154))) % 53.50/53.73 (define @t6166 () (not @t6165)) % 53.50/53.73 (define @t6167 () (or @t6166 @t6161)) % 53.50/53.73 (define @t6168 () (not @t6157)) % 53.50/53.73 (define @t6169 () (or @t6168 @t6165)) % 53.50/53.73 (define @t6170 () (not @t6169)) % 53.50/53.73 (define @t6171 () (forall @t103 (or (not @t102) @t101))) % 53.50/53.73 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t7 @t6) (= @t2 @t1)))) % 53.50/53.73 (assume @p2 (forall (@list @t12 @t8) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t11))) % 53.50/53.73 (assume @p3 (forall @t14 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t13 @t11))) % 53.50/53.73 (assume @p4 (forall @t19 (=> @t18 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t17) @t16)))) % 53.50/53.73 (assume @p5 (forall @t24 (=> @t23 (=> @t16 @t22)))) % 53.50/53.73 (assume @p6 (forall @t24 (=> @t22 (and @t23 @t16)))) % 53.50/53.73 (assume @p7 (forall @t31 (not (= @t30 @t28)))) % 53.50/53.73 (assume @p8 (forall @t31 (not (= @t28 @t30)))) % 53.50/53.73 (assume @p9 (forall @t43 (= (= @t42 (tptp.hAPP @t39 (tptp.hAPP (tptp.hAPP @t26 @t35) @t30))) (or @t38 (and (= @t13 @t35) @t34))))) % 53.50/53.73 (assume @p10 (forall @t46 (=> (= @t45 @t41) @t44))) % 53.50/53.73 (assume @p11 (forall @t51 (=> (tptp.class_Orderings_Obot @t8) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t50) @t48) @t47)))) % 53.50/53.73 (assume @p12 (forall @t54 (= (tptp.c_Set_Othe__elem @t8 @t53) @t48))) % 53.50/53.73 (assume @p13 (forall @t56 (= (tptp.hAPP @t52 @t55) @t55))) % 53.50/53.73 (assume @p14 (forall @t60 (= (tptp.hAPP @t52 @t59) (tptp.hAPP @t58 @t55)))) % 53.50/53.73 (assume @p15 (forall (@list @t48 @t25 @t57 @t8) (= (tptp.hBOOL (tptp.hAPP @t59 @t48)) (or @t63 @t62)))) % 53.50/53.73 (assume @p16 (forall (@list @t15 @t12 @t8) (=> @t16 (tptp.c_Hoare__Mirabelle_Ohoare__valids @t8 @t12 @t15)))) % 53.50/53.73 (assume @p17 (forall (@list @t33 @t13 @t2 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t45) @t33)) @t44))) % 53.50/53.73 (assume @p18 (forall @t66 (=> @t65 (= (tptp.hAPP @t64 @t53) @t48)))) % 53.50/53.73 (assume @p19 (forall (@list @t48 @t25 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP @t69 @t48)) @t68))) % 53.50/53.73 (assume @p20 (forall (@list @t48 @t2 @t8) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t30) @t48))))) % 53.50/53.73 (assume @p21 (forall (@list @t13 @t2 @t8 @t1) (=> (= @t1 @t70) (= (tptp.hAPP @t1 @t45) @t13)))) % 53.50/53.73 (assume @p22 (forall (@list @t13 @t2 @t8) (= (tptp.hAPP @t70 @t45) @t13))) % 53.50/53.73 (assume @p23 (forall @t73 (=> (tptp.hBOOL (tptp.hAPP @t72 @t53)) (or @t67 (= @t25 @t53))))) % 53.50/53.73 (assume @p24 (forall @t78 (=> @t77 @t74))) % 53.50/53.73 (assume @p25 (forall @t78 (= @t77 @t74))) % 53.50/53.73 (assume @p26 (forall (@list @t64 @t1 @t79 @t2 @t49 @t8) (=> @t82 (= (tptp.hAPP @t64 @t81) @t79)))) % 53.50/53.73 (assume @p27 (forall @t31 (= @t28 (tptp.hAPP (tptp.hAPP @t83 @t45) @t25)))) % 53.50/53.73 (assume @p28 (forall @t31 (= @t87 @t28))) % 53.50/53.73 (assume @p29 (forall @t91 (= @t90 (tptp.hAPP (tptp.hAPP @t84 @t86) @t88)))) % 53.50/53.73 (assume @p30 (forall @t91 (= @t90 (tptp.hAPP @t93 @t45)))) % 53.50/53.73 (assume @p31 (forall (@list @t48 @t64 @t79 @t2 @t49 @t8) (=> (tptp.c_Finite__Set_Ofolding__image__idem @t8 @t49 @t2 @t79 @t64) @t95))) % 53.50/53.73 (assume @p32 (forall @t96 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t29 @t26))) % 53.50/53.73 (assume @p33 @t104) % 53.50/53.73 (assume @p34 (forall (@list @t32 @t8 @t88 @t25) (=> @t112 (=> @t111 (not @t109))))) % 53.50/53.73 (assume @p35 (forall @t116 (=> @t115 (=> @t114 @t112)))) % 53.50/53.73 (assume @p36 (forall @t14 (not (tptp.hBOOL (tptp.hAPP @t117 @t30))))) % 53.50/53.73 (assume @p37 (forall @t122 (=> @t121 (=> @t119 @t118)))) % 53.50/53.73 (assume @p38 (forall @t127 (=> (=> @t126 @t44) @t124))) % 53.50/53.73 (assume @p39 (forall @t129 (=> @t115 @t128))) % 53.50/53.73 (assume @p40 (forall @t133 (=> @t132 @t109))) % 53.50/53.73 (assume @p41 (forall @t134 (=> (=> @t110 @t107) @t132))) % 53.50/53.73 (assume @p42 (forall @t135 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t30) @t25)))) % 53.50/53.73 (assume @p43 (forall @t133 (=> @t107 (=> @t110 @t136)))) % 53.50/53.73 (assume @p44 (forall @t133 (=> @t136 (not @t128)))) % 53.50/53.73 (assume @p45 (forall @t96 (=> @t138 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t137)))) % 53.50/53.73 (assume @p46 (forall @t135 (tptp.hBOOL (tptp.hAPP @t72 @t25)))) % 53.50/53.73 (assume @p47 (forall @t116 (tptp.hBOOL (tptp.hAPP @t72 @t131)))) % 53.50/53.73 (assume @p48 (forall @t139 (tptp.hBOOL (tptp.hAPP @t113 @t131)))) % 53.50/53.73 (assume @p49 (forall @t135 (= (tptp.hAPP @t130 @t25) @t25))) % 53.50/53.73 (assume @p50 (forall @t116 (tptp.hBOOL (tptp.hAPP @t140 @t25)))) % 53.50/53.73 (assume @p51 (forall @t147 (=> @t146 (= @t145 (forall @t7 @t142))))) % 53.50/53.73 (assume @p52 (forall @t56 (= @t149 @t62))) % 53.50/53.73 (assume @p53 (forall @t116 (= @t131 @t151))) % 53.50/53.73 (assume @p54 (forall @t157 (=> @t156 (or @t155 @t154)))) % 53.50/53.73 (assume @p55 (forall @t116 (= @t115 @t158))) % 53.50/53.73 (assume @p56 (forall @t159 (= @t112 (and @t115 @t114)))) % 53.50/53.73 (assume @p57 (forall @t167 (=> @t166 (= @t165 (and @t164 @t162))))) % 53.50/53.73 (assume @p58 (forall @t116 (= @t170 @t131))) % 53.50/53.73 (assume @p59 (forall @t116 (= (tptp.hAPP @t130 @t131) @t131))) % 53.50/53.73 (assume @p60 (forall @t175 (= @t174 (tptp.hAPP @t150 @t172)))) % 53.50/53.73 (assume @p61 (forall @t133 (= @t136 (and @t107 @t110)))) % 53.50/53.73 (assume @p62 (forall @t133 (= @t132 (or @t107 @t106)))) % 53.50/53.73 (assume @p63 (forall @t116 (= (tptp.hAPP @t93 @t88) @t92))) % 53.50/53.73 (assume @p64 (forall @t139 (= (tptp.hAPP (tptp.hAPP @t83 @t169) @t25) @t151))) % 53.50/53.73 (assume @p65 (forall @t175 (= (tptp.hBOOL (tptp.hAPP @t140 @t171)) (tptp.hBOOL (tptp.hAPP @t72 @t173))))) % 53.50/53.73 (assume @p66 (forall @t175 (= (tptp.hAPP (tptp.hAPP @t83 @t131) @t171) @t174))) % 53.50/53.73 (assume @p67 (forall @t175 (= (tptp.hAPP (tptp.hAPP @t84 @t131) @t171) (tptp.hAPP (tptp.hAPP @t83 @t177) @t176)))) % 53.50/53.73 (assume @p68 (forall @t185 (= (exists @t7 (and @t184 @t180)) (or (exists @t7 (and @t183 @t180)) (exists @t7 (and @t182 @t180)))))) % 53.50/53.73 (assume @p69 (forall @t185 (= (forall @t7 (=> @t184 @t180)) (and (forall @t7 (=> @t183 @t180)) (forall @t7 (=> @t182 @t180)))))) % 53.50/53.73 (assume @p70 (forall @t159 (=> @t112 @t115))) % 53.50/53.73 (assume @p71 (forall @t159 (=> @t112 @t114))) % 53.50/53.73 (assume @p72 (forall @t157 (=> @t102 (=> @t186 @t155)))) % 53.50/53.73 (assume @p73 (forall @t133 (=> @t107 @t132))) % 53.50/53.73 (assume @p74 (forall @t134 (=> @t106 @t132))) % 53.50/53.73 (assume @p75 (forall (@list @t48 @t1 @t2 @t8 @t49) (=> @t146 (=> @t145 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t141 @t94) @t187)))))) % 53.50/53.73 (assume @p76 (forall @t116 (=> @t115 @t158))) % 53.50/53.73 (assume @p77 (forall @t139 (=> @t114 (= @t131 @t25)))) % 53.50/53.73 (assume @p78 (forall (@list @t48 @t8 @t88 @t25) (=> @t112 (= @t149 @t188)))) % 53.50/53.73 (assume @p79 (forall (@list @t25 @t8 @t57 @t48) (=> @t165 (= @t149 @t190)))) % 53.50/53.73 (assume @p80 (forall @t191 (=> @t115 (=> @t149 @t188)))) % 53.50/53.73 (assume @p81 (forall @t193 (=> @t166 (=> @t162 @t192)))) % 53.50/53.73 (assume @p82 (forall @t116 (=> @t115 (= @t170 @t88)))) % 53.50/53.73 (assume @p83 (forall @t195 (=> @t44 (=> @t194 @t118)))) % 53.50/53.73 (assume @p84 (forall @t205 (=> @t204 (=> @t203 (=> @t202 @t199))))) % 53.50/53.73 (assume @p85 (forall @t205 (=> @t208 (=> @t203 (=> (tptp.hBOOL (tptp.hAPP @t206 @t200)) @t207))))) % 53.50/53.73 (assume @p86 (forall @t209 (=> @t149 (=> @t115 @t188)))) % 53.50/53.73 (assume @p87 (forall @t175 (=> @t115 (=> @t211 @t210)))) % 53.50/53.73 (assume @p88 (forall @t205 (=> @t204 (=> @t213 (=> @t212 @t199))))) % 53.50/53.73 (assume @p89 (forall @t215 (=> @t208 (=> @t214 (=> @t212 @t207))))) % 53.50/53.73 (assume @p90 (forall @t157 (=> @t208 (=> @t155 (=> @t154 @t186))))) % 53.50/53.73 (assume @p91 (forall @t219 (=> @t102 (=> @t155 (=> @t218 @t217))))) % 53.50/53.73 (assume @p92 (forall @t220 (=> @t208 (=> @t154 (=> @t155 @t186))))) % 53.50/53.73 (assume @p93 (forall @t224 (=> @t208 (=> @t154 (=> @t223 @t222))))) % 53.50/53.73 (assume @p94 (forall @t226 (=> @t210 (=> @t211 (tptp.hBOOL (tptp.hAPP @t225 @t171)))))) % 53.50/53.73 (assume @p95 (forall @t230 (=> @t210 (=> @t229 (tptp.hBOOL (tptp.hAPP @t225 (tptp.hAPP @t228 @t227))))))) % 53.50/53.73 (assume @p96 (forall (@list @t88 @t227 @t171 @t25 @t8) (=> @t210 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t227) @t88)) (tptp.hBOOL (tptp.hAPP @t140 (tptp.hAPP @t231 @t227))))))) % 53.50/53.73 (assume @p97 (forall @t175 (=> @t115 (=> @t211 (= (tptp.hAPP @t168 (tptp.hAPP @t231 @t25)) @t25))))) % 53.50/53.73 (assume @p98 (forall @t159 (=> @t112 (not (=> @t115 (not @t114)))))) % 53.50/53.73 (assume @p99 (forall @t133 (=> @t136 @t107))) % 53.50/53.73 (assume @p100 (forall @t133 (=> @t136 @t110))) % 53.50/53.73 (assume @p101 (forall @t157 (=> @t156 (=> (not @t155) @t154)))) % 53.50/53.73 (assume @p102 (forall (@list @t79 @t48 @t2 @t49 @t8) (=> @t233 (= (tptp.hAPP @t94 @t232) @t232)))) % 53.50/53.73 (assume @p103 (forall @t237 @t236)) % 53.50/53.73 (assume @p104 (forall @t237 (and @t236 (=> @t238 (= @t235 (tptp.hAPP @t52 @t92)))))) % 53.50/53.73 (assume @p105 (forall @t209 (=> @t241 (= @t240 @t115)))) % 53.50/53.73 (assume @p106 (forall @t209 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t55) @t88)) (and @t188 @t115)))) % 53.50/53.73 (assume @p107 (forall @t245 (= @t240 (and (=> @t149 @t244) @t242)))) % 53.50/53.73 (assume @p108 (forall @t245 (=> @t244 (=> @t149 @t240)))) % 53.50/53.73 (assume @p109 (forall @t56 (=> @t241 (= (tptp.hAPP @t234 @t53) @t25)))) % 53.50/53.73 (assume @p110 (forall @t31 (=> @t118 (= @t87 @t25)))) % 53.50/53.73 (assume @p111 (forall @t135 (= (tptp.hAPP (tptp.hAPP @t84 @t30) @t25) @t30))) % 53.50/53.73 (assume @p112 (forall @t135 (= (tptp.hAPP @t85 @t30) @t25))) % 53.50/53.73 (assume @p113 (forall @t135 (= (tptp.hAPP @t85 @t25) @t30))) % 53.50/53.73 (assume @p114 (forall @t246 (= (tptp.hAPP (tptp.hAPP @t83 @t30) @t88) @t88))) % 53.50/53.73 (assume @p115 (forall @t135 (= (tptp.hAPP @t130 @t30) @t25))) % 53.50/53.73 (assume @p116 (forall @t116 (= (= @t131 @t30) (and @t67 @t247)))) % 53.50/53.73 (assume @p117 (forall @t91 (= (tptp.hAPP @t130 @t89) (tptp.hAPP @t27 @t131)))) % 53.50/53.73 (assume @p118 (forall (@list @t171 @t88 @t13 @t8) (= (tptp.hAPP (tptp.hAPP @t83 @t89) @t171) (tptp.hAPP @t27 @t173)))) % 53.50/53.73 (assume @p119 (forall @t103 (=> (tptp.class_Orderings_Obot @t98) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t248) @t97))))) % 53.50/53.73 (assume @p120 (forall @t135 (= (forall @t7 @t249) @t67))) % 53.50/53.73 (assume @p121 (forall @t135 (= @t250 @t68))) % 53.50/53.73 (assume @p122 (forall (@list @t32 @t8) (not (tptp.hBOOL (tptp.hAPP @t105 @t30))))) % 53.50/53.73 (assume @p123 (forall (@list @t13 @t8 @t25) (=> @t67 @t251))) % 53.50/53.73 (assume @p124 (forall @t135 (= (tptp.hBOOL (tptp.hAPP @t72 @t30)) @t67))) % 53.50/53.73 (assume @p125 (forall @t252 (tptp.hBOOL (tptp.hAPP @t117 @t89)))) % 53.50/53.73 (assume @p126 (forall @t122 (= @t121 @t253))) % 53.50/53.73 (assume @p127 (forall @t209 (=> @t241 (=> @t238 (= (= @t55 @t239) @t112))))) % 53.50/53.73 (assume @p128 (forall @t127 (=> @t125 @t124))) % 53.50/53.73 (assume @p129 (forall @t31 (=> @t118 (= @t28 @t25)))) % 53.50/53.73 (assume @p130 (forall (@list @t13 @t88 @t8) (tptp.hBOOL (tptp.hAPP @t113 @t89)))) % 53.50/53.73 (assume @p131 (forall (@list @t33 @t88 @t25 @t8) (=> @t115 (tptp.hBOOL (tptp.hAPP @t72 @t123))))) % 53.50/53.73 (assume @p132 @t257) % 53.50/53.73 (assume @p133 @t261) % 53.50/53.73 (assume @p134 (forall (@list @t15 @t262 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t262) (=> (tptp.hBOOL (tptp.hAPP @t259 @t262)) @t16)))) % 53.50/53.73 (assume @p135 (forall @t19 (=> @t18 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t258 @t17) @t12)) @t16)))) % 53.50/53.73 (assume @p136 (forall (@list @t8 @t25 @t48 @t88) (=> (=> @t266 @t62) @t263))) % 53.50/53.73 (assume @p137 (forall @t191 (=> @t263 (=> (not @t62) @t265)))) % 53.50/53.73 (assume @p138 (forall (@list @t48 @t88 @t25 @t49 @t8) (=> (tptp.class_Groups_Ominus @t8) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t50) @t25) @t88) @t48) (tptp.hAPP (tptp.hAPP @t267 @t61) @t264))))) % 53.50/53.73 (assume @p139 (forall @t269 (=> @t268 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t50) @t2) @t1) @t48) (tptp.hAPP (tptp.hAPP @t137 @t94) @t187))))) % 53.50/53.73 (assume @p140 (forall @t103 (=> @t271 (= (tptp.hAPP (tptp.hAPP @t270 @t248) @t97) @t97)))) % 53.50/53.73 (assume @p141 (forall @t103 (=> @t271 (= (tptp.hAPP @t272 @t248) @t97)))) % 53.50/53.73 (assume @p142 (forall @t167 (=> (tptp.class_Lattices_Obounded__lattice__bot @t8) (= (= @t274 @t47) (and (= @t48 @t47) (= @t57 @t47)))))) % 53.50/53.73 (assume @p143 (forall @t283 (=> @t282 (=> @t281 @t277)))) % 53.50/53.73 (assume @p144 (forall @t286 (=> @t282 (=> @t199 (=> @t285 (tptp.hBOOL (tptp.hAPP @t280 (tptp.hAPP (tptp.hAPP @t270 @t196) @t284)))))))) % 53.50/53.73 (assume @p145 (forall @t224 (=> @t282 (=> @t154 (=> @t222 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t288) @t97))))))) % 53.50/53.73 (assume @p146 (forall @t289 (=> @t282 (=> @t276 (=> @t275 @t281))))) % 53.50/53.73 (assume @p147 (forall @t220 (=> @t282 (=> @t154 (= @t290 @t97))))) % 53.50/53.73 (assume @p148 (forall @t167 (= (tptp.hBOOL (tptp.hAPP @t148 @t291)) @t165))) % 53.50/53.73 (assume @p149 (forall @t292 (=> @t282 (= (tptp.hAPP @t278 @t197) @t197)))) % 53.50/53.73 (assume @p150 (forall @t103 (=> @t282 @t293))) % 53.50/53.73 (assume @p151 (forall @t295 (=> @t282 (= @t279 (tptp.hAPP @t294 @t197))))) % 53.50/53.73 (assume @p152 (forall @t157 (=> @t298 @t297))) % 53.50/53.73 (assume @p153 (forall @t157 (=> @t282 @t297))) % 53.50/53.73 (assume @p154 (forall @t295 (=> @t282 (= (tptp.hAPP @t278 @t279) @t279)))) % 53.50/53.73 (assume @p155 (forall @t157 (=> @t298 @t299))) % 53.50/53.73 (assume @p156 (forall @t157 (=> @t282 @t299))) % 53.50/53.73 (assume @p157 (forall @t215 (=> @t282 (= (tptp.hAPP @t294 (tptp.hAPP @t278 @t196)) @t300)))) % 53.50/53.73 (assume @p158 (forall @t219 (=> @t298 @t303))) % 53.50/53.73 (assume @p159 (forall @t219 (=> @t282 @t303))) % 53.50/53.73 (assume @p160 (forall @t205 (=> @t282 (= (tptp.hAPP (tptp.hAPP @t270 @t279) @t196) @t300)))) % 53.50/53.73 (assume @p161 (forall @t219 (=> @t298 @t304))) % 53.50/53.73 (assume @p162 (forall @t219 (=> @t282 @t304))) % 53.50/53.73 (assume @p163 (forall (@list @t305 @t8 @t48 @t178) (=> @t310 (=> @t308 @t307)))) % 53.50/53.73 (assume @p164 (forall (@list @t48 @t305 @t178 @t8) (=> @t308 (=> @t310 @t307)))) % 53.50/53.73 (assume @p165 (forall (@list @t88 @t8 @t48 @t25) (=> @t62 @t263))) % 53.50/53.73 (assume @p166 (forall (@list @t25 @t8 @t48 @t88) (=> @t265 @t263))) % 53.50/53.73 (assume @p167 (forall @t157 (=> @t298 @t311))) % 53.50/53.73 (assume @p168 (forall @t157 (=> @t282 @t311))) % 53.50/53.73 (assume @p169 (forall @t220 (=> @t298 @t312))) % 53.50/53.73 (assume @p170 (forall @t220 (=> @t282 @t312))) % 53.50/53.73 (assume @p171 (forall @t167 (=> @t138 (= @t164 (= @t274 @t57))))) % 53.50/53.73 (assume @p172 (forall @t316 (=> @t138 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t274) @t79)) @t315)))) % 53.50/53.73 (assume @p173 (forall @t319 (=> @t282 (=> @t318 @t317)))) % 53.50/53.73 (assume @p174 (forall @t321 (=> @t282 (=> @t320 @t317)))) % 53.50/53.73 (assume @p175 (forall @t157 (=> @t282 (=> @t155 (= @t290 @t152))))) % 53.50/53.73 (assume @p176 (forall @t43 (=> @t328 (=> @t327 (= @t325 @t323))))) % 53.50/53.73 (assume @p177 (forall @t336 (=> @t65 (=> @t335 (=> @t149 (and (=> @t332 (= @t331 @t48)) (=> @t333 (= @t331 @t330)))))))) % 53.50/53.73 (assume @p178 (forall @t348 (=> @t82 (=> @t347 (=> @t345 (= @t331 @t342)))))) % 53.50/53.73 (assume @p179 (forall (@list @t48 @t25 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t2 @t13 @t25) @t48)) (=> @t251 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t28) @t48)))))) % 53.50/53.73 (assume @p180 (forall @t245 (= (tptp.hBOOL (tptp.hAPP @t350 @t239)) (and (=> @t188 @t351) (=> @t238 (and (=> @t149 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t349 @t243) @t88))) @t242)))))) % 53.50/53.73 (assume @p181 (forall @t353 (=> @t149 (=> (tptp.c_Nitpick_Ofold__graph_H @t8 @t49 @t2 @t79 @t243 @t57) (tptp.c_Nitpick_Ofold__graph_H @t8 @t49 @t2 @t79 @t25 @t352))))) % 53.50/53.73 (assume @p182 (forall @t355 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t49 @t2 @t79 @t243) @t57)) (=> @t149 (tptp.hBOOL (tptp.hAPP @t354 @t352)))))) % 53.50/53.73 (assume @p183 (forall @t336 (=> @t65 (=> @t335 (and (=> @t332 (= @t356 @t48)) (=> @t333 (= @t356 @t330))))))) % 53.50/53.73 (assume @p184 (forall @t348 (=> @t82 (=> @t347 (= @t357 @t342))))) % 53.50/53.73 (assume @p185 (forall @t336 (=> @t65 (=> @t335 (=> @t241 @t359))))) % 53.50/53.73 (assume @p186 (forall (@list @t8 @t25) (= @t68 (exists (@list @t3 @t360) (and (= @t25 (tptp.hAPP @t361 @t360)) (not (tptp.hBOOL (tptp.hAPP @t181 @t360)))))))) % 53.50/53.73 (assume @p187 (forall @t96 (tptp.hBOOL (tptp.hAPP @t334 @t30)))) % 53.50/53.73 (assume @p188 (forall @t363 (=> @t335 @t362))) % 53.50/53.73 (assume @p189 (forall @t116 (=> @t335 @t364))) % 53.50/53.73 (assume @p190 (forall @t135 (=> @t365 @t335))) % 53.50/53.73 (assume @p191 (forall @t103 (=> @t102 (not (tptp.hBOOL (tptp.hAPP @t367 @t97)))))) % 53.50/53.73 (assume @p192 (forall @t167 (=> @t374 (= @t373 (or @t372 @t370))))) % 53.50/53.73 (assume @p193 (forall @t167 (=> @t374 (= @t375 (or @t370 @t165))))) % 53.50/53.73 (assume @p194 (forall @t157 (=> @t156 (or @t378 @t186 @t377)))) % 53.50/53.73 (assume @p195 (forall @t193 (=> @t374 (=> (not @t370) @t379)))) % 53.50/53.73 (assume @p196 (forall @t157 (=> @t156 @t382))) % 53.50/53.73 (assume @p197 (forall @t157 (=> @t208 (=> @t378 @t381)))) % 53.50/53.73 (assume @p198 (forall @t157 (=> @t102 (=> @t378 (not @t377))))) % 53.50/53.73 (assume @p199 (forall @t157 (=> @t208 (=> @t378 @t383)))) % 53.50/53.73 (assume @p200 (forall @t295 (=> @t102 (=> @t387 (not @t385))))) % 53.50/53.73 (assume @p201 (forall @t388 (=> @t208 (=> @t385 (not @t387))))) % 53.50/53.73 (assume @p202 (forall @t205 (=> @t204 (=> @t203 (=> @t390 @t389))))) % 53.50/53.73 (assume @p203 (forall @t205 (=> @t208 (=> @t203 (=> (tptp.hBOOL (tptp.hAPP @t391 @t200)) @t392))))) % 53.50/53.73 (assume @p204 (forall @t175 (=> @t351 @t394))) % 53.50/53.73 (assume @p205 (forall @t205 (=> @t204 (=> @t387 (=> @t212 @t389))))) % 53.50/53.73 (assume @p206 (forall @t215 (=> @t208 (=> @t385 (=> @t212 @t392))))) % 53.50/53.73 (assume @p207 (forall @t219 (=> @t102 (=> @t378 @t396)))) % 53.50/53.73 (assume @p208 (forall @t224 (=> @t208 (=> @t377 @t399)))) % 53.50/53.73 (assume @p209 (forall (@list @t48 @t25 @t79 @t2 @t49 @t8) (=> @t400 @t335))) % 53.50/53.73 (assume @p210 (forall @t157 (=> @t156 (=> @t380 (=> @t381 @t377))))) % 53.50/53.73 (assume @p211 (forall @t43 (=> @t328 (=> @t327 (= @t404 @t402))))) % 53.50/53.73 (assume @p212 (forall (@list @t405 @t406 @t49 @t8) (tptp.c_Nitpick_Ofold__graph_H @t8 @t49 @t406 @t405 @t30 @t405))) % 53.50/53.73 (assume @p213 (forall @t407 (tptp.c_Nitpick_Ofold__graph_H @t8 @t49 @t2 @t79 @t30 @t79))) % 53.50/53.73 (assume @p214 (forall @t147 (=> @t146 (= @t408 (and @t145 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t144 @t1) @t2)))))))) % 53.50/53.73 (assume @p215 (forall @t167 (=> @t374 (= @t375 @t162)))) % 53.50/53.73 (assume @p216 (forall @t167 (=> @t374 (= (not @t164) @t370)))) % 53.50/53.73 (assume @p217 (forall @t157 (=> @t156 (or @t155 @t377)))) % 53.50/53.73 (assume @p218 (forall @t167 (=> @t166 (= @t372 (and @t164 @t373))))) % 53.50/53.73 (assume @p219 (forall @t167 (=> (tptp.class_Orderings_Opreorder @t8) (= @t372 (and @t164 (not @t162)))))) % 53.50/53.73 (assume @p220 (forall @t167 (=> @t166 (= @t164 (or @t372 @t165))))) % 53.50/53.73 (assume @p221 (forall @t157 (=> @t156 (=> @t380 @t154)))) % 53.50/53.73 (assume @p222 (forall @t220 (=> @t156 (=> (not @t154) @t378)))) % 53.50/53.73 (assume @p223 (forall @t167 (=> @t374 (=> @t375 @t192)))) % 53.50/53.73 (assume @p224 (forall @t295 (=> @t208 (=> @t409 (=> @t213 @t387))))) % 53.50/53.73 (assume @p225 (forall @t295 (=> @t208 (=> @t409 (=> @t214 @t385))))) % 53.50/53.73 (assume @p226 (forall @t220 (=> @t156 (=> @t154 @t380)))) % 53.50/53.73 (assume @p227 (forall @t157 (=> @t102 (=> @t378 @t155)))) % 53.50/53.73 (assume @p228 (forall @t167 (=> @t374 (=> @t164 @t379)))) % 53.50/53.73 (assume @p229 (forall @t157 (=> @t208 (=> @t155 (or @t378 @t186))))) % 53.50/53.73 (assume @p230 (forall @t295 (=> @t208 (=> @t213 (=> @t409 @t387))))) % 53.50/53.73 (assume @p231 (forall @t388 (=> @t208 (=> @t214 (=> @t409 @t385))))) % 53.50/53.73 (assume @p232 (forall @t219 (=> @t102 (=> @t378 (=> @t218 @t395))))) % 53.50/53.73 (assume @p233 (forall @t224 (=> @t208 (=> @t377 (=> @t223 @t398))))) % 53.50/53.73 (assume @p234 (forall @t219 (=> @t102 (=> @t155 @t396)))) % 53.50/53.73 (assume @p235 (forall @t224 (=> @t208 (=> @t154 @t399)))) % 53.50/53.73 (assume @p236 (forall @t129 (=> @t351 @t128))) % 53.50/53.73 (assume @p237 (forall @t135 (not (tptp.hBOOL (tptp.hAPP @t350 @t30))))) % 53.50/53.73 (assume @p238 (forall @t321 (=> @t282 (=> @t411 @t410)))) % 53.50/53.73 (assume @p239 (forall @t319 (=> @t282 (=> @t412 @t410)))) % 53.50/53.73 (assume @p240 (forall @t116 (= @t351 (and @t115 (not @t112))))) % 53.50/53.73 (assume @p241 (forall @t116 (= @t115 (or @t351 @t112)))) % 53.50/53.73 (assume @p242 (forall @t116 (=> @t351 @t115))) % 53.50/53.73 (assume @p243 (forall @t175 (=> @t351 (=> @t211 @t393)))) % 53.50/53.73 (assume @p244 (forall @t175 (=> @t115 @t394))) % 53.50/53.73 (assume @p245 (forall @t31 (= @t362 @t335))) % 53.50/53.73 (assume @p246 (forall @t139 (=> @t413 (=> @t115 @t335)))) % 53.50/53.73 (assume @p247 (forall @t116 (=> @t115 (=> @t413 @t335)))) % 53.50/53.73 (assume @p248 (forall @t417 (= @t416 (and @t415 @t414)))) % 53.50/53.73 (assume @p249 (forall @t417 (=> @t415 (=> @t414 @t416)))) % 53.50/53.73 (assume @p250 (forall @t139 (=> @t413 (= @t364 @t335)))) % 53.50/53.73 (assume @p251 (forall @t407 (tptp.hBOOL (tptp.hAPP @t418 @t79)))) % 53.50/53.73 (assume @p252 (forall (@list @t48 @t79 @t2 @t49 @t8) (=> (tptp.hBOOL (tptp.hAPP @t418 @t48)) @t419))) % 53.50/53.73 (assume @p253 (forall @t91 (= (tptp.hBOOL (tptp.hAPP @t334 @t90)) @t364))) % 53.50/53.73 (assume @p254 (forall @t353 (=> @t241 (=> @t421 (tptp.hBOOL (tptp.hAPP @t420 @t352)))))) % 53.50/53.73 (assume @p255 (forall @t424 (=> @t65 @t423))) % 53.50/53.73 (assume @p256 (forall @t43 (=> @t426 (=> @t327 (= @t44 @t425))))) % 53.50/53.73 (assume @p257 (forall @t348 (=> @t82 (=> @t347 (=> (not @t345) @t428))))) % 53.50/53.73 (assume @p258 (forall (@list @t433 @t406 @t405 @t431 @t432 @t49 @t8) (= (tptp.c_Nitpick_Ofold__graph_H @t8 @t49 @t432 @t431 @t405 @t434) (or (and @t436 (= @t434 @t431)) (exists @t435 (and (= @t434 (tptp.hAPP (tptp.hAPP @t432 @t3) @t429)) (tptp.hBOOL (tptp.hAPP @t181 @t405)) (tptp.c_Nitpick_Ofold__graph_H @t8 @t49 @t432 @t431 (tptp.hAPP (tptp.hAPP @t84 @t405) @t430) @t429))))))) % 53.50/53.73 (assume @p259 (forall @t424 (=> @t65 (=> @t335 (=> @t68 (=> (forall @t435 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t438) @t437))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t331) @t25)))))))) % 53.50/53.73 (assume @p260 (forall (@list @t178 @t25 @t8) (=> @t335 (=> (tptp.hBOOL (tptp.hAPP @t178 @t25)) (=> (forall @t445 (=> (tptp.hBOOL (tptp.hAPP @t334 @t442)) (=> @t444 (=> (tptp.hBOOL (tptp.hAPP @t178 @t442)) (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t84 @t442) (tptp.hAPP @t441 @t30)))))))) @t439))))) % 53.50/53.73 (assume @p261 (forall @t452 (=> @t451 (=> @t335 (=> @t68 (=> @t413 (=> @t450 @t449))))))) % 53.50/53.73 (assume @p262 (forall @t452 (=> @t451 (=> @t335 (=> @t450 (=> @t114 @t453)))))) % 53.50/53.73 (assume @p263 (forall (@list @t178 @t25 @t64 @t8) (=> @t415 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t64) @t25)) (=> @t439 (=> (forall (@list @t440 @t455) (=> @t458 (=> @t457 (=> (not (tptp.hBOOL (tptp.hAPP @t443 @t455))) (=> @t456 (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t441 @t455)))))))) @t454)))))) % 53.50/53.73 (assume @p264 (forall @t336 (=> @t451 (=> @t335 @t359)))) % 53.50/53.73 (assume @p265 (forall (@list @t48 @t461 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t462) @t48)) (not (forall @t445 (=> (= @t462 @t460) (=> (tptp.hBOOL (tptp.hAPP @t459 @t48)) @t444))))))) % 53.50/53.73 (assume @p266 (forall (@list @t432 @t405 @t406 @t2 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t464) @t432)) (exists @t445 (and (= @t464 @t460) (tptp.hBOOL (tptp.hAPP @t459 @t432)) (not @t444)))))) % 53.50/53.73 (assume @p267 (forall (@list @t13 @t48 @t25 @t33 @t8) (=> @t468 (=> (tptp.hBOOL (tptp.hAPP @t467 @t48)) (=> @t118 (=> @t466 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t465 @t13 (tptp.hAPP @t40 @t86)) @t48)))))))) % 53.50/53.73 (assume @p268 (forall @t73 (=> @t468 (=> @t68 (=> @t335 (=> @t241 @t472)))))) % 53.50/53.73 (assume @p269 (forall @t205 (=> (tptp.class_Groups_Oab__semigroup__mult @t98) (= (tptp.hAPP (tptp.hAPP @t473 @t477) @t196) (tptp.hAPP @t476 @t475))))) % 53.50/53.73 (assume @p270 (forall @t295 (=> @t478 (= (tptp.hAPP @t476 @t477) @t477)))) % 53.50/53.73 (assume @p271 (forall @t103 (=> @t478 (= @t480 @t97)))) % 53.50/53.73 (assume @p272 (forall @t292 (=> @t478 (= @t481 @t197)))) % 53.50/53.73 (assume @p273 (forall @t66 (=> @t451 @t95))) % 53.50/53.73 (assume @p274 (forall @t96 (=> @t482 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t465)))) % 53.50/53.73 (assume @p275 (forall (@list @t79 @t57 @t25 @t33 @t8) (=> @t468 (=> (tptp.hBOOL (tptp.hAPP @t467 @t57)) (=> @t466 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t465 @t79 @t120) (tptp.hAPP @t483 @t57)))))))) % 53.50/53.73 (assume @p276 (forall @t336 (=> @t451 (=> @t335 (=> @t149 (= @t358 @t331)))))) % 53.50/53.73 (assume @p277 (forall @t73 (=> @t482 (=> @t68 (=> @t335 @t472))))) % 53.50/53.73 (assume @p278 (forall @t116 (=> @t482 (=> @t335 (=> @t68 (=> @t413 (=> @t450 @t484))))))) % 53.50/53.73 (assume @p279 (forall @t135 (=> @t468 (=> @t335 (=> @t68 (=> (forall @t435 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t485) @t437))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t470) @t25)))))))) % 53.50/53.73 (assume @p280 (forall @t116 (=> @t468 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (=> @t489 @t484)))))))) % 53.50/53.73 (assume @p281 (forall @t497 (=> @t496 (=> @t347 (=> @t495 @t494))))) % 53.50/53.73 (assume @p282 (forall @t497 (=> @t496 (=> @t347 (=> (tptp.hBOOL (tptp.hAPP @t499 @t25)) @t453))))) % 53.50/53.73 (assume @p283 (forall @t363 (=> @t468 (=> @t335 (=> @t251 @t500))))) % 53.50/53.73 (assume @p284 (forall @t348 (=> @t496 (=> @t347 @t428)))) % 53.50/53.73 (assume @p285 (forall (@list @t178 @t64 @t8) (=> @t415 (=> @t439 (=> (forall (@list @t3 @t455) (=> @t458 (=> (not (tptp.hBOOL (tptp.hAPP @t181 @t455))) (=> @t456 (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t361 @t455))))))) @t454))))) % 53.50/53.73 (assume @p286 (forall @t348 (=> @t496 (=> @t347 (=> @t345 (= @t427 @t331)))))) % 53.50/53.73 (assume @p287 (forall @t73 (=> @t268 (=> @t335 (=> @t149 (and (=> @t332 (= @t502 @t48)) (=> @t333 (= @t502 @t501)))))))) % 53.50/53.73 (assume @p288 (forall (@list @t57 @t48 @t25 @t8) (=> @t335 (=> @t149 (=> @t190 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 (tptp.hAPP @t503 (tptp.hAPP (tptp.hAPP @t84 @t243) @t505))) @t504))))))) % 53.50/53.73 (assume @p289 (forall @t73 (=> @t335 (=> @t149 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t507) @t504)))))) % 53.50/53.73 (assume @p290 (forall (@list @t8 @t88 @t48 @t25) (=> @t62 (=> @t265 @t508)))) % 53.50/53.73 (assume @p291 (forall @t191 (=> @t508 (not (=> @t62 @t266))))) % 53.50/53.73 (assume @p292 (forall @t133 (=> @t107 (=> @t106 @t509)))) % 53.50/53.73 (assume @p293 (forall @t133 (=> @t509 (not @t111)))) % 53.50/53.73 (assume @p294 (forall @t417 (=> (or @t415 @t414) (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP (tptp.hAPP @t486 @t64) @t12)))))) % 53.50/53.73 (assume @p295 (forall @t292 (=> @t512 (= (tptp.hAPP @t511 @t197) @t197)))) % 53.50/53.73 (assume @p296 (forall @t103 (=> @t512 @t514))) % 53.50/53.73 (assume @p297 (forall @t295 (=> @t512 (= @t516 (tptp.hAPP @t515 @t197))))) % 53.50/53.73 (assume @p298 (forall @t157 (=> @t298 @t520))) % 53.50/53.73 (assume @p299 (forall @t157 (=> @t512 @t520))) % 53.50/53.73 (assume @p300 (forall @t295 (=> @t512 (= (tptp.hAPP @t511 @t516) @t516)))) % 53.50/53.73 (assume @p301 (forall @t157 (=> @t298 @t521))) % 53.50/53.73 (assume @p302 (forall @t157 (=> @t512 @t521))) % 53.50/53.73 (assume @p303 (forall @t215 (=> @t512 (= (tptp.hAPP @t515 (tptp.hAPP @t511 @t196)) @t522)))) % 53.50/53.73 (assume @p304 (forall @t219 (=> @t298 @t526))) % 53.50/53.73 (assume @p305 (forall @t219 (=> @t512 @t526))) % 53.50/53.73 (assume @p306 (forall @t205 (=> @t512 (= (tptp.hAPP (tptp.hAPP @t510 @t516) @t196) @t522)))) % 53.50/53.73 (assume @p307 (forall @t219 (=> @t298 @t527))) % 53.50/53.73 (assume @p308 (forall @t219 (=> @t512 @t527))) % 53.50/53.73 (assume @p309 (forall @t269 (=> @t268 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t50) @t2) @t1) @t48) (tptp.hAPP (tptp.hAPP @t528 @t94) @t187))))) % 53.50/53.73 (assume @p310 (forall @t191 (=> @t508 @t62))) % 53.50/53.73 (assume @p311 (forall @t191 (=> @t508 @t265))) % 53.50/53.73 (assume @p312 (forall @t135 (= (tptp.hAPP @t487 @t25) @t25))) % 53.50/53.73 (assume @p313 (forall @t116 (= @t488 @t530))) % 53.50/53.73 (assume @p314 (forall @t116 (= (tptp.hAPP @t487 @t488) @t488))) % 53.50/53.73 (assume @p315 (forall @t175 (= @t533 (tptp.hAPP @t529 @t531)))) % 53.50/53.73 (assume @p316 (forall @t175 (= (tptp.hAPP (tptp.hAPP @t486 @t488) @t171) @t533))) % 53.50/53.73 (assume @p317 (forall @t103 (=> @t298 @t514))) % 53.50/53.73 (assume @p318 (forall @t539 (=> @t538 (=> @t335 (= (tptp.hAPP @t535 @t28) (tptp.hAPP @t537 @t536)))))) % 53.50/53.73 (assume @p319 (forall (@list @t48 @t64 @t1 @t79 @t2 @t49 @t8) (=> @t496 @t95))) % 53.50/53.73 (assume @p320 (forall @t363 (=> @t268 (=> @t335 (=> @t118 (= (tptp.hAPP @t537 @t502) @t13)))))) % 53.50/53.73 (assume @p321 (forall @t116 (=> (tptp.hBOOL (tptp.hAPP @t334 @t488)) (= @t543 (tptp.hAPP @t542 @t540))))) % 53.50/53.73 (assume @p322 (forall @t545 (=> @t538 (=> @t335 (=> @t118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t536) @t544))))))) % 53.50/53.73 (assume @p323 (forall @t319 (=> @t512 (=> @t547 @t546)))) % 53.50/53.73 (assume @p324 (forall @t286 (=> @t512 (=> @t199 (=> @t285 (tptp.hBOOL (tptp.hAPP @t548 (tptp.hAPP (tptp.hAPP @t510 @t196) @t284)))))))) % 53.50/53.73 (assume @p325 (forall @t219 (=> @t512 (=> @t155 (=> @t217 (tptp.hBOOL (tptp.hAPP @t100 @t524))))))) % 53.50/53.73 (assume @p326 (forall @t319 (=> @t512 (=> @t318 (=> @t320 @t547))))) % 53.50/53.73 (assume @p327 (forall @t220 (=> @t512 (=> @t154 (= @t519 @t152))))) % 53.50/53.73 (assume @p328 (forall @t157 (=> @t512 (=> @t155 (= @t519 @t97))))) % 53.50/53.73 (assume @p329 (forall @t550 (=> @t512 (=> @t275 @t549)))) % 53.50/53.73 (assume @p330 (forall @t289 (=> @t512 (=> @t276 @t549)))) % 53.50/53.73 (assume @p331 (forall @t316 (=> @t538 (= (tptp.hBOOL (tptp.hAPP @t163 (tptp.hAPP (tptp.hAPP @t528 @t57) @t79))) @t551)))) % 53.50/53.73 (assume @p332 (forall @t167 (=> @t538 (= @t164 (= @t553 @t48))))) % 53.50/53.73 (assume @p333 (forall @t157 (=> @t512 @t555))) % 53.50/53.73 (assume @p334 (forall @t157 (=> @t298 @t555))) % 53.50/53.73 (assume @p335 (forall @t157 (=> @t512 @t556))) % 53.50/53.73 (assume @p336 (forall @t157 (=> @t298 @t556))) % 53.50/53.73 (assume @p337 (forall @t289 (=> @t512 (=> @t558 @t557)))) % 53.50/53.73 (assume @p338 (forall @t550 (=> @t512 (=> @t559 @t557)))) % 53.50/53.73 (assume @p339 (forall @t103 (=> @t271 (= (tptp.hAPP (tptp.hAPP @t510 @t248) @t97) @t248)))) % 53.50/53.73 (assume @p340 (forall @t103 (=> @t271 (= (tptp.hAPP @t513 @t248) @t248)))) % 53.50/53.73 (assume @p341 (forall @t561 (=> @t560 (= (tptp.hAPP (tptp.hAPP @t270 @t524) @t97) (tptp.hAPP (tptp.hAPP @t510 @t296) (tptp.hAPP (tptp.hAPP @t270 @t216) @t97)))))) % 53.50/53.73 (assume @p342 (forall @t561 (=> @t560 (= (tptp.hAPP (tptp.hAPP @t510 @t288) @t97) (tptp.hAPP (tptp.hAPP @t270 @t518) (tptp.hAPP (tptp.hAPP @t510 @t216) @t97)))))) % 53.50/53.73 (assume @p343 (forall @t219 (=> @t560 (= @t563 @t562)))) % 53.50/53.73 (assume @p344 (forall @t219 (=> @t560 (= @t565 @t564)))) % 53.50/53.73 (assume @p345 (forall @t157 (=> @t298 (= (tptp.hAPP @t272 @t519) @t97)))) % 53.50/53.73 (assume @p346 (forall @t157 (=> @t298 (= (tptp.hAPP @t513 @t290) @t97)))) % 53.50/53.73 (assume @p347 (forall @t133 (= @t509 (and @t107 @t106)))) % 53.50/53.73 (assume @p348 (forall @t133 (=> @t509 @t107))) % 53.50/53.73 (assume @p349 (forall @t133 (=> @t509 @t106))) % 53.50/53.73 (assume @p350 (forall (@list @t79 @t2 @t8 @t49) (= (tptp.hAPP @t566 @t81) @t79))) % 53.50/53.73 (assume @p351 (forall @t246 (= (tptp.hAPP (tptp.hAPP @t486 @t30) @t88) @t30))) % 53.50/53.73 (assume @p352 (forall @t135 (= (tptp.hAPP @t487 @t30) @t30))) % 53.50/53.73 (assume @p353 (forall @t116 (= @t489 (forall @t7 (=> @t183 (forall @t571 (=> (tptp.hBOOL (tptp.hAPP @t570 @t88)) @t569))))))) % 53.50/53.73 (assume @p354 (forall @t573 (= (tptp.hAPP (tptp.hAPP @t486 @t28) @t89) @t572))) % 53.50/53.73 (assume @p355 (forall @t363 (=> @t268 (=> @t335 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t28) (tptp.hAPP (tptp.hAPP @t574 @t13) @t25)))))) % 53.50/53.73 (assume @p356 (forall @t116 (tptp.hBOOL (tptp.hAPP @t575 @t25)))) % 53.50/53.73 (assume @p357 (forall @t116 (tptp.hBOOL (tptp.hAPP @t575 @t88)))) % 53.50/53.73 (assume @p358 (forall @t116 (=> @t115 (= @t488 @t25)))) % 53.50/53.73 (assume @p359 (forall @t139 (=> @t114 (= @t488 @t88)))) % 53.50/53.73 (assume @p360 (forall @t577 (=> @t576 (=> (tptp.hBOOL (tptp.hAPP @t255 @t88)) (tptp.hBOOL (tptp.hAPP @t255 @t488)))))) % 53.50/53.73 (assume @p361 (forall @t230 (=> @t210 (=> @t229 (tptp.hBOOL (tptp.hAPP @t575 (tptp.hAPP @t578 @t227))))))) % 53.50/53.73 (assume @p362 (forall @t175 (= @t580 (tptp.hAPP @t579 @t531)))) % 53.50/53.73 (assume @p363 (forall @t175 (= (tptp.hAPP @t130 @t532) (tptp.hAPP @t581 @t172)))) % 53.50/53.73 (assume @p364 (forall @t583 (= (tptp.hAPP (tptp.hAPP @t486 @t173) @t25) (tptp.hAPP (tptp.hAPP @t83 @t530) @t582)))) % 53.50/53.73 (assume @p365 (forall @t583 (= (tptp.hAPP (tptp.hAPP @t83 @t532) @t25) (tptp.hAPP (tptp.hAPP @t486 @t151) @t584)))) % 53.50/53.73 (assume @p366 (forall @t175 (= (tptp.hAPP (tptp.hAPP @t83 (tptp.hAPP @t579 @t532)) @t582) (tptp.hAPP (tptp.hAPP @t486 (tptp.hAPP @t581 @t173)) @t584)))) % 53.50/53.73 (assume @p367 (forall @t577 (= (tptp.hAPP @t578 @t92) (tptp.hAPP (tptp.hAPP @t84 @t582) (tptp.hAPP @t578 @t88))))) % 53.50/53.73 (assume @p368 (forall @t175 (= (tptp.hAPP (tptp.hAPP @t84 @t488) @t171) (tptp.hAPP @t487 @t176)))) % 53.50/53.73 (assume @p369 (forall @t175 (= (tptp.hAPP @t587 @t171) @t586))) % 53.50/53.73 (assume @p370 (forall @t226 (= @t586 (tptp.hAPP @t585 @t88)))) % 53.50/53.73 (assume @p371 (forall @t96 (=> @t538 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t528)))) % 53.50/53.73 (assume @p372 (forall @t54 (=> @t268 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t53) @t48)))) % 53.50/53.73 (assume @p373 (forall @t73 (=> @t268 (=> @t335 (=> @t241 (= @t588 (tptp.hAPP (tptp.hAPP @t574 @t48) @t25))))))) % 53.50/53.73 (assume @p374 (forall @t116 (=> @t268 (=> @t335 (=> @t413 (=> @t592 (= (tptp.hAPP (tptp.hAPP @t137 @t591) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t488)) @t590))))))) % 53.50/53.73 (assume @p375 (forall @t116 (=> @t268 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (=> @t489 @t593)))))))) % 53.50/53.73 (assume @p376 (forall @t219 (=> @t298 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t564) @t565))))) % 53.50/53.73 (assume @p377 (forall @t219 (=> @t298 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t563) @t562))))) % 53.50/53.73 (assume @p378 (forall @t73 (=> @t335 (tptp.hBOOL (tptp.hAPP @t596 @t594))))) % 53.50/53.73 (assume @p379 (forall @t139 (=> @t413 (=> @t115 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t597) @t504)) @t112))))) % 53.50/53.73 (assume @p380 (forall @t139 (=> @t413 (=> @t115 (tptp.hBOOL (tptp.hAPP @t596 @t597)))))) % 53.50/53.73 (assume @p381 (forall @t139 (=> @t413 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t598) @t543))))) % 53.50/53.73 (assume @p382 (forall @t539 (=> @t138 (=> @t335 (= (tptp.hAPP @t599 @t28) (tptp.hAPP @t601 @t600)))))) % 53.50/53.73 (assume @p383 (forall @t605 @t604)) % 53.50/53.73 (assume @p384 (forall @t573 @t607)) % 53.50/53.73 (assume @p385 (forall @t605 @t608)) % 53.50/53.73 (assume @p386 (forall @t573 @t609)) % 53.50/53.73 (assume @p387 (forall @t605 (and @t604 @t608))) % 53.50/53.73 (assume @p388 (forall @t573 (and @t607 @t609))) % 53.50/53.73 (assume @p389 (forall @t116 (=> @t489 (= @t92 @t25)))) % 53.50/53.73 (assume @p390 (forall @t116 (= (tptp.hAPP @t487 @t169) @t30))) % 53.50/53.73 (assume @p391 (forall @t175 (= (= (tptp.hAPP @t579 @t171) @t580) @t576))) % 53.50/53.73 (assume @p392 (forall @t139 (=> @t413 (=> @t351 @t610)))) % 53.50/53.73 (assume @p393 (forall @t175 (= (tptp.hAPP @t85 @t532) (tptp.hAPP @t611 @t177)))) % 53.50/53.73 (assume @p394 (forall @t175 (= (tptp.hAPP @t85 @t173) (tptp.hAPP @t587 @t177)))) % 53.50/53.73 (assume @p395 (forall @t116 (= (tptp.hAPP @t611 @t488) @t25))) % 53.50/53.73 (assume @p396 (forall @t73 (=> @t268 (=> @t335 (=> @t149 (= @t612 @t502)))))) % 53.50/53.73 (assume @p397 (forall @t135 (=> @t268 (=> @t335 (= @t502 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t137) @t25)))))) % 53.50/53.73 (assume @p398 (forall @t545 (=> @t138 (=> @t335 (=> @t118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t613) @t600))))))) % 53.50/53.73 (assume @p399 (forall @t363 (=> @t538 (=> @t335 (=> @t118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t614) @t13))))))) % 53.50/53.73 (assume @p400 (forall @t73 (=> @t538 (=> @t335 (=> @t68 (= (tptp.hBOOL (tptp.hAPP @t163 @t614)) @t616)))))) % 53.50/53.73 (assume @p401 (forall @t139 (=> @t413 (=> @t114 (= @t543 @t598))))) % 53.50/53.73 (assume @p402 (forall @t116 (=> @t335 (= @t131 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t29 @t26) @t88) @t25))))) % 53.50/53.73 (assume @p403 (forall @t139 (=> @t413 (=> @t115 (=> @t610 @t351))))) % 53.50/53.73 (assume @p404 (forall @t73 (=> @t268 (=> @t335 @t617)))) % 53.50/53.73 (assume @p405 (forall @t116 (=> @t268 (=> @t335 (=> @t450 (=> @t114 (= (tptp.hAPP (tptp.hAPP @t137 @t589) @t502) @t502))))))) % 53.50/53.73 (assume @p406 (forall @t116 (=> @t268 (=> @t335 (=> @t68 (=> @t413 (=> @t450 @t593))))))) % 53.50/53.73 (assume @p407 (forall @t624 (=> @t233 (=> @t335 @t623)))) % 53.50/53.73 (assume @p408 (forall @t624 (=> @t233 (=> @t335 @t626)))) % 53.50/53.73 (assume @p409 (forall @t103 (=> @t298 @t293))) % 53.50/53.73 (assume @p410 (forall (@list @t13 @t25 @t64 @t2 @t8) (=> @t451 (=> @t335 (= (tptp.hAPP @t64 @t28) (tptp.hAPP (tptp.hAPP @t627 @t13) @t25)))))) % 53.50/53.73 (assume @p411 (forall @t497 (=> @t82 (=> @t347 (=> @t495 (= (tptp.hAPP (tptp.hAPP @t2 @t493) (tptp.hAPP @t64 @t630)) @t447)))))) % 53.50/53.73 (assume @p412 (forall @t73 (=> @t335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t507) @t504))))) % 53.50/53.73 (assume @p413 (forall @t73 (=> @t268 (=> @t335 (=> @t241 @t617))))) % 53.50/53.73 (assume @p414 (forall @t73 (=> @t268 (=> @t335 (and (=> @t332 (= @t588 @t48)) (=> @t333 (= @t588 @t501))))))) % 53.50/53.73 (assume @p415 (forall @t363 (=> @t482 (=> @t335 @t500)))) % 53.50/53.73 (assume @p416 (forall @t336 (=> @t65 (=> @t335 (=> @t241 (= @t356 (tptp.hAPP (tptp.hAPP @t627 @t48) @t25))))))) % 53.50/53.73 (assume @p417 (forall @t497 (=> @t82 (=> @t347 (=> @t495 (=> (= @t630 @t81) @t494)))))) % 53.50/53.73 (assume @p418 (forall @t452 (=> @t65 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (=> @t489 @t449)))))))) % 53.50/53.73 (assume @p419 (forall @t452 (=> @t65 (=> @t335 (=> @t413 (=> @t592 (= (tptp.hAPP (tptp.hAPP @t2 @t448) @t631) @t447))))))) % 53.50/53.73 (assume @p420 (forall @t424 (=> (tptp.c_Big__Operators_Osemilattice__big @t8 @t2 @t64) @t423))) % 53.50/53.73 (assume @p421 (forall @t634 (=> @t633 (=> @t335 (=> @t149 (= @t620 @t632)))))) % 53.50/53.73 (assume @p422 (forall @t624 (=> @t633 (=> @t335 (= @t622 @t632))))) % 53.50/53.73 (assume @p423 (forall @t135 (=> @t268 (=> @t335 (=> @t68 (=> (forall @t435 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t635) @t437))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t502) @t25)))))))) % 53.50/53.73 (assume @p424 (forall @t73 (=> @t268 (=> @t335 (=> @t149 (and (=> @t332 (= @t637 @t48)) (=> @t333 (= @t637 @t636)))))))) % 53.50/53.73 (assume @p425 (forall @t634 (=> @t633 (=> @t335 (=> @t241 @t623))))) % 53.50/53.73 (assume @p426 (forall @t634 (=> @t633 (=> @t335 (=> @t241 @t626))))) % 53.50/53.73 (assume @p427 (forall @t73 (=> @t335 (and @t639 (=> @t241 (= @t507 @t504)))))) % 53.50/53.73 (assume @p428 (forall @t73 (=> @t335 @t639))) % 53.50/53.73 (assume @p429 (forall @t73 (=> @t335 (=> @t149 (= @t640 @t504))))) % 53.50/53.73 (assume @p430 (forall @t54 (=> (tptp.class_Groups_Oone @t8) (= (= @t641 @t48) @t642)))) % 53.50/53.73 (assume @p431 (forall @t644 (=> @t633 (= (tptp.hAPP @t94 (tptp.hAPP @t643 @t79)) (tptp.hAPP @t643 @t232))))) % 53.50/53.73 (assume @p432 (forall @t292 (=> @t647 @t646))) % 53.50/53.73 (assume @p433 (forall @t292 (=> @t648 @t646))) % 53.50/53.73 (assume @p434 (forall @t292 (=> @t647 @t649))) % 53.50/53.73 (assume @p435 (forall @t292 (=> @t648 @t649))) % 53.50/53.73 (assume @p436 (forall @t96 (=> @t468 (tptp.c_Finite__Set_Ofun__left__comm @t8 @t8 @t465)))) % 53.50/53.73 (assume @p437 (forall @t355 (=> @t633 (=> @t400 (=> @t421 @t63))))) % 53.50/53.73 (assume @p438 (forall @t54 (=> @t268 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t53) @t48)))) % 53.50/53.73 (assume @p439 (forall @t634 (=> @t633 (=> @t335 (= @t621 @t625))))) % 53.50/53.73 (assume @p440 (forall @t363 (=> @t268 (=> @t335 (=> @t118 (= (tptp.hAPP @t601 @t637) @t13)))))) % 53.50/53.73 (assume @p441 (forall @t73 (=> @t268 (=> @t335 (=> @t149 (= @t650 @t637)))))) % 53.50/53.73 (assume @p442 (forall (@list @t57 @t25 @t79 @t2 @t49 @t8) (=> @t633 (=> @t421 (= @t620 @t57))))) % 53.50/53.73 (assume @p443 (forall @t135 (=> @t268 (=> @t335 (= @t637 @t614))))) % 53.50/53.73 (assume @p444 (forall @t73 (=> @t335 @t651))) % 53.50/53.73 (assume @p445 (forall @t73 (=> @t335 (and (=> @t149 (= @t594 @t504)) @t651)))) % 53.50/53.73 (assume @p446 (forall @t73 (=> @t268 (=> @t335 @t653)))) % 53.50/53.73 (assume @p447 (forall @t116 (=> @t268 (=> @t335 (=> @t450 (=> @t114 (= (tptp.hAPP (tptp.hAPP @t528 @t654) @t637) @t637))))))) % 53.50/53.73 (assume @p448 (forall @t116 (=> @t268 (=> @t335 (=> @t68 (=> @t413 (=> @t450 @t657))))))) % 53.50/53.73 (assume @p449 (forall @t135 (=> @t268 (=> @t335 (=> @t68 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t637) @t502))))))) % 53.50/53.73 (assume @p450 (forall @t363 (=> @t268 (=> @t335 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t28) (tptp.hAPP (tptp.hAPP @t534 @t13) @t25)))))) % 53.50/53.73 (assume @p451 (forall @t73 (=> @t335 (= @t594 @t640)))) % 53.50/53.73 (assume @p452 (forall (@list @t79 @t25 @t2 @t49 @t8) (=> @t633 (=> @t335 (tptp.hBOOL (tptp.hAPP @t354 @t620)))))) % 53.50/53.73 (assume @p453 (forall @t91 (=> @t335 (=> @t118 (=> @t126 (= (tptp.hAPP @t503 @t90) (tptp.hAPP (tptp.hAPP @t541 @t543) @t638))))))) % 53.50/53.73 (assume @p454 (forall @t73 (=> @t268 (=> @t335 (=> @t241 @t653))))) % 53.50/53.73 (assume @p455 (forall @t73 (=> @t268 (=> @t335 (and (=> @t332 (= @t652 @t48)) (=> @t333 (= @t652 @t636))))))) % 53.50/53.73 (assume @p456 (forall @t116 (=> @t268 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (=> @t489 @t657)))))))) % 53.50/53.73 (assume @p457 (forall @t116 (=> @t268 (=> @t335 (=> @t413 (=> @t592 (= (tptp.hAPP (tptp.hAPP @t528 @t656) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t488)) @t655))))))) % 53.50/53.73 (assume @p458 (forall @t73 (=> @t268 (=> @t335 (=> @t241 (= @t652 (tptp.hAPP (tptp.hAPP @t534 @t48) @t25))))))) % 53.50/53.73 (assume @p459 (forall @t661 (tptp.hBOOL (tptp.hAPP @t660 @t659)))) % 53.50/53.73 (assume @p460 (forall @t668 (=> @t667 @t665))) % 53.50/53.73 (assume @p461 (forall @t668 (= (tptp.hAPP @t669 @t659) (tptp.hAPP (tptp.hAPP @t541 @t670) @t658)))) % 53.50/53.73 (assume @p462 (forall @t661 (= (tptp.hAPP (tptp.hAPP @t541 @t659) @t638) @t658))) % 53.50/53.73 (assume @p463 (forall @t671 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t197) @t200)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t196) @t197)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 (tptp.hAPP (tptp.hAPP @t541 @t197) @t196)) (tptp.hAPP (tptp.hAPP @t541 @t200) @t196))))))) % 53.50/53.73 (assume @p464 (forall @t684 (=> @t683 (=> @t682 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t680) @t678)) @t675))))) % 53.50/53.73 (assume @p465 (forall @t690 (=> @t689 (= @t687 (tptp.hAPP tptp.c_Nat_OSuc @t685))))) % 53.50/53.73 (assume @p466 (forall @t668 (tptp.hBOOL (tptp.hAPP @t691 @t663)))) % 53.50/53.73 (assume @p467 (forall @t697 (= @t696 @t694))) % 53.50/53.73 (assume @p468 (forall @t701 (= @t700 @t699))) % 53.50/53.73 (assume @p469 (forall @t684 (= (= @t707 @t706) @t702))) % 53.50/53.73 (assume @p470 (forall @t708 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t97) (tptp.hAPP tptp.c_Nat_OSuc @t152)) @t186))) % 53.50/53.73 (assume @p471 (forall (@list @t709 @t710) (= (= @t711 (tptp.hAPP tptp.c_Nat_OSuc @t709)) (= @t710 @t709)))) % 53.50/53.73 (assume @p472 (forall @t661 (not (= @t659 @t658)))) % 53.50/53.73 (assume @p473 (forall @t661 (not (= @t658 @t659)))) % 53.50/53.73 (assume @p474 (forall (@list @t178 @t672 @t673) (=> (=> @t675 @t713) (=> (=> @t702 @t713) (=> (=> @t696 @t713) @t713))))) % 53.50/53.73 (assume @p475 (forall (@list @t714 @t715) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t715) @t714)) (not (= @t715 @t714))))) % 53.50/53.73 (assume @p476 (forall @t690 (=> @t718 @t717))) % 53.50/53.73 (assume @p477 (forall @t661 (not (tptp.hBOOL (tptp.hAPP @t660 @t658))))) % 53.50/53.73 (assume @p478 (forall @t708 (=> @t381 (=> (not @t720) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t152) @t97)))))) % 53.50/53.73 (assume @p479 (forall @t701 (= @t721 (or @t675 @t696)))) % 53.50/53.73 (assume @p480 (forall @t725 (tptp.hBOOL (tptp.hAPP @t724 @t723)))) % 53.50/53.73 (assume @p481 (forall @t725 (tptp.hBOOL (tptp.hAPP @t724 (tptp.hAPP @t722 @t723))))) % 53.50/53.73 (assume @p482 (forall @t736 (=> @t735 (tptp.hBOOL (tptp.hAPP @t733 @t729))))) % 53.50/53.73 (assume @p483 (forall @t736 (=> @t735 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t739) @t738))))) % 53.50/53.73 (assume @p484 (forall @t743 (=> @t735 (=> @t742 (tptp.hBOOL (tptp.hAPP @t733 (tptp.hAPP @t728 @t740))))))) % 53.50/53.73 (assume @p485 (forall @t668 (=> @t744 (=> @t689 @t716)))) % 53.50/53.73 (assume @p486 (forall @t736 (=> @t735 (=> (tptp.hBOOL (tptp.hAPP @t745 @t726)) (tptp.hBOOL (tptp.hAPP @t734 @t726)))))) % 53.50/53.73 (assume @p487 (forall @t668 (=> @t716 @t744))) % 53.50/53.73 (assume @p488 (forall @t668 (or @t744 @t689))) % 53.50/53.73 (assume @p489 (forall @t661 (tptp.hBOOL (tptp.hAPP @t688 @t658)))) % 53.50/53.73 (assume @p490 (forall @t748 (= (tptp.hAPP @t737 @t685) (tptp.hAPP (tptp.hAPP @t541 @t747) @t746)))) % 53.50/53.73 (assume @p491 (forall @t752 (= (tptp.hAPP (tptp.hAPP @t704 @t685) @t726) (tptp.hAPP (tptp.hAPP @t541 @t751) @t750)))) % 53.50/53.73 (assume @p492 (forall @t736 (= @t755 (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP @t753 @t726)) @t727)))) % 53.50/53.73 (assume @p493 (forall @t661 (= (tptp.hAPP (tptp.hAPP @t704 @t638) @t658) @t658))) % 53.50/53.73 (assume @p494 (forall @t701 (= (= @t638 @t759) @t757))) % 53.50/53.73 (assume @p495 (forall @t661 (= (tptp.hAPP @t749 @t638) @t658))) % 53.50/53.73 (assume @p496 (forall @t701 (= (= @t759 @t638) @t757))) % 53.50/53.73 (assume @p497 (forall @t668 (=> @t665 @t667))) % 53.50/53.73 (assume @p498 (forall @t668 (=> @t760 @t667))) % 53.50/53.73 (assume @p499 (forall @t668 (=> @t762 (=> @t761 @t716)))) % 53.50/53.73 (assume @p500 (forall @t736 (=> @t767 (=> @t765 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t763) @t726)))))) % 53.50/53.73 (assume @p501 (forall @t668 (=> @t667 (=> (not (= @t663 @t658)) @t760)))) % 53.50/53.73 (assume @p502 (forall @t668 (=> @t667 @t762))) % 53.50/53.73 (assume @p503 (forall @t690 (=> (not @t718) (=> (tptp.hBOOL (tptp.hAPP @t660 @t663)) @t716)))) % 53.50/53.73 (assume @p504 (forall @t697 (=> @t772 @t771))) % 53.50/53.73 (assume @p505 (forall @t684 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t707) @t706)) @t675))) % 53.50/53.73 (assume @p506 (forall @t701 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t769) @t692)) @t675))) % 53.50/53.73 (assume @p507 (forall @t701 (= @t700 @t773))) % 53.50/53.73 (assume @p508 (forall @t701 (= (not @t675) @t770))) % 53.50/53.73 (assume @p509 (forall @t684 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t707) @t706)) @t699))) % 53.50/53.73 (assume @p510 (forall @t668 (=> @t774 @t744))) % 53.50/53.73 (assume @p511 (forall @t668 (=> @t775 (=> (not @t744) (= @t662 @t659))))) % 53.50/53.73 (assume @p512 (forall @t668 (=> @t744 @t775))) % 53.50/53.73 (assume @p513 (forall @t697 (= (tptp.hBOOL (tptp.hAPP @t693 @t769)) @t777))) % 53.50/53.73 (assume @p514 (forall @t701 (= @t778 (or @t699 (= @t673 @t692))))) % 53.50/53.73 (assume @p515 (forall @t701 (= @t779 @t694))) % 53.50/53.73 (assume @p516 (forall @t661 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t659) @t658))))) % 53.50/53.73 (assume @p517 (forall @t668 (=> (or @t667 @t716) @t744))) % 53.50/53.73 (assume @p518 (forall @t668 (=> @t744 (=> @t717 @t667)))) % 53.50/53.73 (assume @p519 (forall @t668 (=> @t667 @t744))) % 53.50/53.73 (assume @p520 (forall @t701 (= @t699 @t773))) % 53.50/53.73 (assume @p521 (forall @t701 (= @t675 (and @t699 @t721)))) % 53.50/53.73 (assume @p522 (forall @t752 (= (tptp.hAPP (tptp.hAPP @t541 @t687) (tptp.hAPP tptp.c_Nat_OSuc @t726)) (tptp.hAPP (tptp.hAPP @t541 @t685) @t726)))) % 53.50/53.73 (assume @p523 (forall @t668 (= (tptp.hAPP @t686 @t659) @t685))) % 53.50/53.73 (assume @p524 (forall @t783 (=> @t667 (=> (tptp.hBOOL (tptp.hAPP @t666 @t740)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t782) @t781)))))) % 53.50/53.73 (assume @p525 (forall (@list @t658 @t726 @t727) (=> @t765 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 (tptp.hAPP @t784 @t658)) @t726))))) % 53.50/53.73 (assume @p526 (forall @t684 (=> @t683 (=> @t682 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t680) @t678)) @t699))))) % 53.50/53.73 (assume @p527 (forall @t748 (=> (tptp.hBOOL (tptp.hAPP @t741 @t662)) (=> @t786 (= (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP @t669 @t726)) (tptp.hAPP @t785 @t726)) @t685))))) % 53.50/53.73 (assume @p528 (forall @t684 (=> @t683 (=> @t682 (= (= @t680 @t678) @t702))))) % 53.50/53.73 (assume @p529 (forall @t788 (=> (tptp.hBOOL (tptp.hAPP @t734 @t658)) (= (tptp.hAPP @t785 @t787) @t730)))) % 53.50/53.73 (assume @p530 (forall @t783 (=> @t744 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 (tptp.hAPP @t669 @t740)) (tptp.hAPP @t785 @t740)))))) % 53.50/53.73 (assume @p531 (forall @t783 (=> @t744 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t782) @t781))))) % 53.50/53.73 (assume @p532 (forall @t668 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t685) @t662)))) % 53.50/53.73 (assume @p533 (forall @t668 (=> @t774 @t667))) % 53.50/53.73 (assume @p534 (forall @t701 (=> @t699 @t771))) % 53.50/53.73 (assume @p535 (forall @t668 (=> @t667 @t774))) % 53.50/53.73 (assume @p536 (forall @t668 (=> @t744 @t762))) % 53.50/53.73 (assume @p537 (forall @t701 (= @t789 @t675))) % 53.50/53.73 (assume @p538 (forall @t792 (=> @t791 (=> (tptp.hBOOL (tptp.hAPP @t790 @t662)) (=> (tptp.hBOOL (tptp.hAPP @t790 @t658)) (tptp.hBOOL (tptp.hAPP @t790 (tptp.hAPP (tptp.hAPP @t473 @t662) @t658)))))))) % 53.50/53.73 (assume @p539 (forall (@list @t13 @t57 @t25 @t79 @t2 @t49 @t8) (=> @t633 (=> @t421 (=> @t118 (exists (@list @t793) (and (= @t57 (tptp.hAPP @t794 @t793)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t49 @t2 @t79 @t86) @t793))))))))) % 53.50/53.73 (assume @p540 (forall @t135 (=> @t268 (=> @t335 (=> @t68 (=> (forall @t435 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t795) @t437))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t637) @t25)))))))) % 53.50/53.73 (assume @p541 (forall @t73 (=> @t335 (=> @t149 (= @t504 @t798))))) % 53.50/53.73 (assume @p542 (forall @t708 (=> @t720 @t800))) % 53.50/53.73 (assume @p543 (forall @t292 (=> @t801 @t646))) % 53.50/53.73 (assume @p544 (forall @t292 (=> @t801 @t649))) % 53.50/53.73 (assume @p545 (forall @t812 (=> @t811 (=> @t335 (=> @t413 (=> @t489 (= @t810 @t809))))))) % 53.50/53.73 (assume @p546 (forall @t73 (=> @t335 (= @t594 @t798)))) % 53.50/53.73 (assume @p547 (forall @t135 (=> @t814 (=> @t335 (= @t813 (tptp.hAPP (tptp.hAPP @t574 @t47) @t25)))))) % 53.50/53.73 (assume @p548 (forall @t668 (= @t816 @t815))) % 53.50/53.73 (assume @p549 (forall @t748 (= (tptp.hAPP @t737 @t818) (tptp.hAPP (tptp.hAPP @t796 @t747) @t746)))) % 53.50/53.73 (assume @p550 (forall @t752 (= (tptp.hAPP (tptp.hAPP @t704 @t816) @t726) (tptp.hAPP @t722 @t750)))) % 53.50/53.73 (assume @p551 (forall @t752 (= (tptp.hAPP (tptp.hAPP @t704 @t818) @t726) (tptp.hAPP (tptp.hAPP @t796 @t751) @t750)))) % 53.50/53.73 (assume @p552 (forall @t823 (= (= @t822 @t820) @t702))) % 53.50/53.73 (assume @p553 (forall @t684 (= (= @t826 @t825) @t702))) % 53.50/53.73 (assume @p554 (forall @t752 (= (tptp.hAPP (tptp.hAPP @t796 @t818) @t726) (tptp.hAPP @t817 @t828)))) % 53.50/53.73 (assume @p555 (forall @t832 (= (tptp.hAPP @t829 @t831) (tptp.hAPP @t830 (tptp.hAPP @t829 @t216))))) % 53.50/53.73 (assume @p556 (forall @t668 (= @t818 @t833))) % 53.50/53.73 (assume @p557 (forall @t215 (=> @t839 (=> (= @t838 @t836) @t212)))) % 53.50/53.73 (assume @p558 (forall @t205 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t98) @t843))) % 53.50/53.73 (assume @p559 (forall @t205 (=> @t839 @t843))) % 53.50/53.73 (assume @p560 (forall (@list @t32 @t13 @t33 @t8) (=> @t849 (= (= @t848 @t846) @t34)))) % 53.50/53.73 (assume @p561 (forall @t853 (=> @t849 (= (= @t852 @t851) @t34)))) % 53.50/53.73 (assume @p562 (forall @t205 (=> (tptp.class_Groups_Oab__semigroup__add @t98) @t857))) % 53.50/53.73 (assume @p563 (forall (@list @t196 @t197 @t98) (=> @t801 (= @t841 @t836)))) % 53.50/53.73 (assume @p564 (forall @t860 (=> @t801 (= @t859 (tptp.hAPP @t835 (tptp.hAPP @t840 @t284)))))) % 53.50/53.73 (assume @p565 (forall @t860 (=> @t801 (= @t859 (tptp.hAPP @t861 @t284))))) % 53.50/53.73 (assume @p566 (forall @t205 (=> @t801 @t857))) % 53.50/53.73 (assume @p567 (forall @t205 (=> @t801 (= @t856 (tptp.hAPP @t861 @t200))))) % 53.50/53.73 (assume @p568 (forall @t863 (=> @t801 (= (tptp.hAPP @t855 @t858) (tptp.hAPP @t861 @t862))))) % 53.50/53.73 (assume @p569 (forall @t219 (=> @t801 (= (tptp.hAPP @t479 @t867) (tptp.hAPP (tptp.hAPP @t834 @t865) @t864))))) % 53.50/53.73 (assume @p570 (forall @t43 (=> @t873 (= (and @t119 (not @t425)) (not (= (tptp.hAPP (tptp.hAPP @t844 @t872) (tptp.hAPP @t868 @t35)) (tptp.hAPP (tptp.hAPP @t844 @t871) @t869))))))) % 53.50/53.73 (assume @p571 (forall @t205 (=> (tptp.class_Rings_Ocomm__semiring @t98) @t876))) % 53.50/53.73 (assume @p572 (forall @t205 (=> @t801 @t876))) % 53.50/53.73 (assume @p573 (forall (@list @t200 @t662 @t197 @t98) (=> @t801 (= (tptp.hAPP @t878 (tptp.hAPP @t474 @t662)) (tptp.hAPP @t875 @t662))))) % 53.50/53.73 (assume @p574 (forall (@list @t196 @t200 @t879 @t197 @t98) (=> (tptp.class_Rings_Osemiring @t98) (= (tptp.hAPP (tptp.hAPP @t834 (tptp.hAPP @t476 @t879)) (tptp.hAPP (tptp.hAPP @t834 (tptp.hAPP @t474 @t879)) @t196)) (tptp.hAPP (tptp.hAPP @t834 (tptp.hAPP @t875 @t879)) @t196))))) % 53.50/53.73 (assume @p575 (forall (@list @t79 @t48 @t57 @t881 @t8) (=> @t873 (= (= (tptp.hAPP (tptp.hAPP @t844 @t884) @t883) (tptp.hAPP (tptp.hAPP @t844 (tptp.hAPP @t882 @t79)) (tptp.hAPP @t471 @t57))) (or (= @t881 @t48) @t880))))) % 53.50/53.73 (assume @p576 (forall @t832 (=> @t720 @t885))) % 53.50/53.73 (assume @p577 (forall @t886 (=> (tptp.hBOOL (tptp.hAPP @t719 @t216)) @t885))) % 53.50/53.73 (assume @p578 (forall @t832 (=> @t800 @t887))) % 53.50/53.73 (assume @p579 (forall @t886 (=> (tptp.hBOOL (tptp.hAPP @t799 @t216)) @t887))) % 53.50/53.73 (assume @p580 (forall @t890 (=> @t889 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t851) @t888)) @t325)))) % 53.50/53.73 (assume @p581 (forall @t892 (=> @t889 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t846) @t891)) @t325)))) % 53.50/53.73 (assume @p582 (forall @t205 (=> @t895 (=> @t213 @t894)))) % 53.50/53.73 (assume @p583 (forall @t205 (=> @t895 (=> @t213 @t897)))) % 53.50/53.73 (assume @p584 (forall @t863 (=> @t895 (=> @t213 (=> @t898 (tptp.hBOOL (tptp.hAPP @t893 @t862))))))) % 53.50/53.73 (assume @p585 (forall @t900 (=> @t899 (=> @t894 @t213)))) % 53.50/53.73 (assume @p586 (forall @t901 (=> @t899 (=> @t897 @t213)))) % 53.50/53.73 (assume @p587 (forall @t890 (=> @t889 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t851) @t888)) @t404)))) % 53.50/53.73 (assume @p588 (forall @t892 (=> @t889 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t846) @t891)) @t404)))) % 53.50/53.73 (assume @p589 (forall @t205 (=> @t904 (=> @t387 @t903)))) % 53.50/53.73 (assume @p590 (forall @t205 (=> @t904 (=> @t387 @t905)))) % 53.50/53.73 (assume @p591 (forall @t863 (=> @t904 (=> @t387 @t908)))) % 53.50/53.73 (assume @p592 (forall @t900 (=> @t899 (=> @t903 @t387)))) % 53.50/53.73 (assume @p593 (forall @t901 (=> @t899 (=> @t905 @t387)))) % 53.50/53.73 (assume @p594 (forall @t135 (=> @t912 @t910))) % 53.50/53.73 (assume @p595 (forall @t295 (=> @t916 (= (tptp.hAPP (tptp.hAPP @t834 @t915) @t200) @t197)))) % 53.50/53.73 (assume @p596 (forall @t295 (=> @t916 (= (tptp.hAPP @t917 @t200) @t197)))) % 53.50/53.73 (assume @p597 (forall @t668 (= @t919 @t918))) % 53.50/53.73 (assume @p598 (forall @t668 (= @t920 @t918))) % 53.50/53.73 (assume @p599 (forall @t668 (= @t920 @t919))) % 53.50/53.73 (assume @p600 (forall @t668 (= (tptp.hAPP (tptp.hAPP @t704 @t663) @t658) (tptp.hAPP @t827 @t816)))) % 53.50/53.73 (assume @p601 (forall @t668 (= (tptp.hAPP @t722 @t659) (tptp.hAPP @t817 @t816)))) % 53.50/53.73 (assume @p602 (forall @t924 (not (tptp.hBOOL (tptp.hAPP @t923 @t730))))) % 53.50/53.73 (assume @p603 (forall @t927 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t926) @t730))))) % 53.50/53.73 (assume @p604 (forall @t684 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t826) @t825)) @t675))) % 53.50/53.73 (assume @p605 (forall @t929 (=> @t767 (tptp.hBOOL (tptp.hAPP @t766 @t928))))) % 53.50/53.73 (assume @p606 (forall @t929 (=> @t767 (tptp.hBOOL (tptp.hAPP @t766 @t930))))) % 53.50/53.73 (assume @p607 (forall @t736 (=> @t767 (tptp.hBOOL (tptp.hAPP @t933 @t931))))) % 53.50/53.73 (assume @p608 (forall @t743 (=> @t767 (=> @t936 (tptp.hBOOL (tptp.hAPP @t933 @t934)))))) % 53.50/53.73 (assume @p609 (forall (@list @t658 @t662 @t740 @t726) (=> @t936 (=> (= (tptp.hAPP @t817 @t740) @t938) @t667)))) % 53.50/53.73 (assume @p610 (forall @t736 (=> (tptp.hBOOL (tptp.hAPP @t923 @t726)) (tptp.hBOOL (tptp.hAPP @t766 @t726))))) % 53.50/53.73 (assume @p611 (forall @t690 (tptp.hBOOL (tptp.hAPP @t688 @t818)))) % 53.50/53.73 (assume @p612 (forall @t690 (tptp.hBOOL (tptp.hAPP @t688 @t833)))) % 53.50/53.73 (assume @p613 (forall @t701 (= @t699 (exists @t941 (= @t672 @t940))))) % 53.50/53.73 (assume @p614 (forall @t684 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t826) @t825)) @t699))) % 53.50/53.73 (assume @p615 (forall @t929 (=> @t735 (tptp.hBOOL (tptp.hAPP @t734 @t928))))) % 53.50/53.73 (assume @p616 (forall @t929 (=> @t735 (tptp.hBOOL (tptp.hAPP @t734 @t930))))) % 53.50/53.73 (assume @p617 (forall @t736 (=> @t735 (tptp.hBOOL (tptp.hAPP @t942 @t931))))) % 53.50/53.73 (assume @p618 (forall @t743 (=> @t735 (=> @t742 (tptp.hBOOL (tptp.hAPP @t942 @t934)))))) % 53.50/53.73 (assume @p619 (forall @t945 (=> @t944 @t786))) % 53.50/53.73 (assume @p620 (forall @t945 (=> @t944 @t744))) % 53.50/53.73 (assume @p621 (forall @t945 (=> @t944 (not (=> @t744 (not @t786)))))) % 53.50/53.73 (assume @p622 (forall @t668 (= (tptp.hAPP (tptp.hAPP @t541 @t818) @t658) @t662))) % 53.50/53.73 (assume @p623 (forall @t690 (= (tptp.hAPP @t946 @t658) @t662))) % 53.50/53.73 (assume @p624 (forall @t736 (= @t755 (tptp.hAPP @t753 @t931)))) % 53.50/53.73 (assume @p625 (forall @t748 (= (tptp.hAPP (tptp.hAPP @t541 @t947) @t938) @t685))) % 53.50/53.73 (assume @p626 (forall @t945 (= (tptp.hAPP @t948 @t828) @t685))) % 53.50/53.73 (assume @p627 (forall (@list @t79 @t1 @t2 @t49 @t8) (= (tptp.hAPP @t950 @t81) @t79))) % 53.50/53.73 (assume @p628 (forall @t292 (=> @t791 (tptp.hBOOL (tptp.hAPP @t386 @t951))))) % 53.50/53.73 (assume @p629 (forall @t958 (=> @t957 (= @t956 (= @t32 @t953))))) % 53.50/53.73 (assume @p630 (forall @t958 (=> @t957 (= @t956 (= @t959 @t35))))) % 53.50/53.73 (assume @p631 (forall (@list @t662 @t197 @t98) (=> @t801 (= (tptp.hAPP @t878 @t662) @t960)))) % 53.50/53.73 (assume @p632 (forall (@list @t197 @t662 @t98) (=> @t801 (= (tptp.hAPP @t961 @t877) @t960)))) % 53.50/53.73 (assume @p633 (forall @t965 (=> @t801 (= (tptp.hAPP @t961 @t662) (tptp.hAPP @t964 @t662))))) % 53.50/53.73 (assume @p634 (forall @t863 (=> @t904 (=> @t387 (=> @t898 @t906))))) % 53.50/53.73 (assume @p635 (forall @t863 (=> @t904 (=> @t213 @t908)))) % 53.50/53.73 (assume @p636 (forall @t958 (=> @t967 (= @t966 (tptp.hBOOL (tptp.hAPP @t322 @t953)))))) % 53.50/53.73 (assume @p637 (forall @t958 (=> @t967 (= @t966 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t959) @t35)))))) % 53.50/53.73 (assume @p638 (forall @t958 (=> @t967 (= @t968 (tptp.hBOOL (tptp.hAPP @t401 @t953)))))) % 53.50/53.73 (assume @p639 (forall @t958 (=> @t967 (= @t968 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t959) @t35)))))) % 53.50/53.73 (assume @p640 (forall @t701 (= @t675 (exists @t941 (= @t672 (tptp.hAPP tptp.c_Nat_OSuc @t940)))))) % 53.50/53.73 (assume @p641 (forall @t969 (tptp.hBOOL (tptp.hAPP @t766 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t817 @t730)))))) % 53.50/53.73 (assume @p642 (forall @t969 (tptp.hBOOL (tptp.hAPP @t766 (tptp.hAPP tptp.c_Nat_OSuc @t970))))) % 53.50/53.73 (assume @p643 (forall @t978 (= (tptp.hBOOL (tptp.hAPP @t977 @t976)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t974) @t971))))) % 53.50/53.73 (assume @p644 (forall @t668 (=> @t761 @t979))) % 53.50/53.73 (assume @p645 (forall @t982 (=> @t981 (= (tptp.hAPP @t753 @t980) (tptp.hAPP (tptp.hAPP @t541 @t932) @t727))))) % 53.50/53.73 (assume @p646 (forall (@list @t972 @t676 @t971) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t976) @t972)) (tptp.hBOOL (tptp.hAPP @t983 @t974))))) % 53.50/53.73 (assume @p647 (forall @t984 (=> @t786 (tptp.hBOOL (tptp.hAPP @t724 (tptp.hAPP @t946 @t726)))))) % 53.50/53.73 (assume @p648 (forall @t690 (=> @t689 @t979))) % 53.50/53.73 (assume @p649 (forall @t982 (=> @t981 (= @t986 @t985)))) % 53.50/53.73 (assume @p650 (forall (@list @t972 @t971 @t676) (=> (tptp.hBOOL (tptp.hAPP @t681 @t971)) (= (tptp.hBOOL (tptp.hAPP @t987 @t976)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t974) @t971)))))) % 53.50/53.73 (assume @p651 (forall @t690 (=> @t689 (= (tptp.hAPP (tptp.hAPP @t796 @t685) @t658) @t662)))) % 53.50/53.73 (assume @p652 (forall @t978 (=> @t989 (= (= @t988 @t676) (= @t971 (tptp.hAPP @t824 @t972)))))) % 53.50/53.73 (assume @p653 (forall @t982 (=> @t981 (= @t985 @t986)))) % 53.50/53.73 (assume @p654 (forall @t982 (=> @t981 (= @t991 @t990)))) % 53.50/53.73 (assume @p655 (forall @t982 (=> @t981 (= @t990 @t991)))) % 53.50/53.73 (assume @p656 (forall @t661 (= @t659 @t992))) % 53.50/53.73 (assume @p657 (forall @t661 (= @t659 @t993))) % 53.50/53.73 (assume @p658 (forall (@list @t25 @t64 @t1 @t79 @t2 @t49 @t8) (=> @t82 (=> @t347 (= @t331 @t994))))) % 53.50/53.73 (assume @p659 (forall @t997 (=> @t981 (= (tptp.hAPP @t669 @t996) (tptp.hAPP @t948 @t995))))) % 53.50/53.73 (assume @p660 (forall @t997 (=> @t981 (= (tptp.hAPP (tptp.hAPP @t541 @t996) @t662) (tptp.hAPP (tptp.hAPP @t541 @t995) @t947))))) % 53.50/53.73 (assume @p661 (forall @t157 (=> @t998 @t382))) % 53.50/53.73 (assume @p662 (forall @t295 (=> @t801 (= @t477 @t999)))) % 53.50/53.73 (assume @p663 (forall @t1007 (=> @t801 (= @t1006 (tptp.hAPP @t1004 (tptp.hAPP @t1002 @t1000)))))) % 53.50/53.73 (assume @p664 (forall @t1007 (=> @t801 (= @t1006 (tptp.hAPP @t1008 @t1000))))) % 53.50/53.73 (assume @p665 (forall @t1013 (=> @t801 (= @t1012 (tptp.hAPP @t1002 (tptp.hAPP @t1010 @t1003)))))) % 53.50/53.73 (assume @p666 (forall @t1013 (=> @t801 (= @t1012 (tptp.hAPP @t1008 @t1009))))) % 53.50/53.73 (assume @p667 (forall @t1015 (=> @t801 (= @t1014 (tptp.hAPP @t1002 (tptp.hAPP @t1010 @t1005)))))) % 53.50/53.73 (assume @p668 (forall @t1015 (=> @t801 (= @t1014 (tptp.hAPP @t1004 (tptp.hAPP @t1011 @t1000)))))) % 53.50/53.73 (assume @p669 (forall @t1015 (=> @t801 (= @t1014 (tptp.hAPP @t1008 (tptp.hAPP @t1010 @t1000)))))) % 53.50/53.73 (assume @p670 (forall @t116 (=> @t335 (=> @t413 (= @t1019 @t1017))))) % 53.50/53.73 (assume @p671 (forall @t116 (=> @t335 (=> @t413 (= @t1017 @t1019))))) % 53.50/53.73 (assume @p672 (forall (@list @t79 @t1 @t13 @t25 @t8 @t49) (=> @t1022 (=> @t335 (=> @t251 (= (tptp.hAPP @t1020 @t28) (tptp.hAPP (tptp.hAPP @t803 (tptp.hAPP @t1 @t13)) @t1021))))))) % 53.50/53.73 (assume @p673 (forall @t116 (=> @t814 (=> @t335 (= (tptp.hAPP (tptp.hAPP @t137 @t88) @t813) (tptp.hAPP (tptp.hAPP @t574 @t88) @t25)))))) % 53.50/53.73 (assume @p674 (forall @t135 (=> @t814 (=> @t335 (=> @t68 (= @t502 @t813)))))) % 53.50/53.73 (assume @p675 (forall @t116 (=> @t335 (=> @t413 (=> @t489 @t1023))))) % 53.50/53.73 (assume @p676 (forall @t73 (=> @t335 (=> @t241 (= @t594 (tptp.hAPP @t797 @t504)))))) % 53.50/53.73 (assume @p677 (forall @t812 (=> @t811 (=> @t335 (=> @t413 (= @t809 (tptp.hAPP (tptp.hAPP @t803 @t810) (tptp.hAPP @t806 @t488)))))))) % 53.50/53.73 (assume @p678 (forall @t1029 (=> @t989 (= @t1028 (tptp.hBOOL (tptp.hAPP @t674 @t1025)))))) % 53.50/53.73 (assume @p679 (forall @t1032 (=> @t1031 (= @t1028 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t1030) @t672)))))) % 53.50/53.73 (assume @p680 (forall @t1032 (=> @t1031 (= @t1033 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t1030) @t672)))))) % 53.50/53.73 (assume @p681 (forall (@list @t658 @t662 @t1034 @t730 @t727) (=> @t1038 (= @t1037 (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t704 @t754) @t1034)) @t662)) @t658))))) % 53.50/53.73 (assume @p682 (forall @t1032 (=> @t1031 (= @t1039 (= @t1030 @t672))))) % 53.50/53.73 (assume @p683 (forall @t1029 (=> @t989 (= @t1033 (tptp.hBOOL (tptp.hAPP @t698 @t1025)))))) % 53.50/53.73 (assume @p684 (forall (@list @t658 @t662 @t1034 @t727 @t730) (=> @t735 (= @t1037 (tptp.hAPP @t669 (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t704 @t1040) @t1034)) @t658)))))) % 53.50/53.73 (assume @p685 (forall @t1029 (=> @t989 (= @t1039 (= @t673 @t1025))))) % 53.50/53.73 (assume @p686 (forall @t46 (=> @t814 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t42) @t613)))) % 53.50/53.73 (assume @p687 (forall (@list @t25 @t171 @t461 @t8) (=> @t1047 (=> @t1044 @t1043)))) % 53.50/53.73 (assume @p688 (forall @t96 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t1049) @t30))) % 53.50/53.73 (assume @p689 (forall @t116 (=> (tptp.hBOOL (tptp.hAPP @t1052 @t88)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t911) @t1050))))) % 53.50/53.73 (assume @p690 (forall @t139 (=> @t1053 (tptp.hBOOL (tptp.hAPP @t113 @t911))))) % 53.50/53.73 (assume @p691 (forall @t252 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t1055) (tptp.hAPP (tptp.hAPP @t83 @t13) @t1050)))) % 53.50/53.73 (assume @p692 (forall @t116 (= @t131 (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t1056)))) % 53.50/53.73 (assume @p693 (forall @t116 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t1058) (tptp.hAPP (tptp.hAPP @t83 @t911) @t1050)))) % 53.50/53.73 (assume @p694 (forall @t1061 (= (= (tptp.hAPP (tptp.hAPP @t486 @t1041) @t25) @t30) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1060 @t171)) (= (tptp.hAPP @t1059 @t25) @t30)))))) % 53.50/53.73 (assume @p695 (forall @t116 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t1063)) (tptp.hAPP (tptp.hAPP @t486 @t911) @t1050))))) % 53.50/53.73 (assume @p696 (forall @t1066 (=> @t814 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t813) @t33)) @t1065)))) % 53.50/53.73 (assume @p697 (forall (@list @t726 @t727 @t1034 @t730) (= (tptp.hAPP @t1036 (tptp.hAPP @t1035 @t726)) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t704 @t922) @t1034)) @t726)))) % 53.50/53.73 (assume @p698 (forall (@list @t1067 @t13 @t8) (=> @t1069 (= (tptp.hBOOL (tptp.hAPP @t403 (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t1067))) (exists @t7 (and @t1068 (tptp.hBOOL (tptp.hAPP @t403 @t3)))))))) % 53.50/53.73 (assume @p699 (forall @t56 (=> @t814 (=> @t149 (tptp.hBOOL (tptp.hAPP @t163 @t813)))))) % 53.50/53.73 (assume @p700 (forall @t96 (=> @t814 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t30) @t47)))) % 53.50/53.73 (assume @p701 (forall @t14 (=> @t814 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t45) @t13)))) % 53.50/53.73 (assume @p702 (forall @t31 (=> @t814 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t28) (tptp.hAPP @t601 @t813))))) % 53.50/53.73 (assume @p703 (forall @t1075 (=> @t1074 (and @t1073 @t1072)))) % 53.50/53.73 (assume @p704 (forall @t1085 (=> @t811 (=> @t1084 (=> @t1083 (=> @t1082 (= (tptp.hAPP @t1077 @t1079) (tptp.hAPP (tptp.hAPP @t803 @t1078) (tptp.hAPP @t1077 @t1076))))))))) % 53.50/53.73 (assume @p705 (forall @t135 (=> @t910 (=> (forall (@list @t1086) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t1086) @t25)) (tptp.hBOOL (tptp.hAPP @t334 @t1086)))) @t912)))) % 53.50/53.73 (assume @p706 (forall @t497 (=> @t82 (=> @t347 (=> @t495 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1087 @t630)) (= @t4 @t79))) @t494)))))) % 53.50/53.73 (assume @p707 (forall (@list @t1088 @t25 @t48 @t79 @t2 @t49 @t8) (=> @t633 (=> (tptp.hBOOL (tptp.hAPP @t420 @t1088)) (=> @t241 (not (forall @t1089 (=> (= @t1088 (tptp.hAPP @t94 @t429)) (not (tptp.hBOOL (tptp.hAPP @t354 @t429))))))))))) % 53.50/53.73 (assume @p708 (forall @t1098 (=> @t1097 (=> @t335 (and @t1096 (=> @t251 (= @t1093 @t1092))))))) % 53.50/53.73 (assume @p709 (forall @t1098 (=> (tptp.class_Rings_Oring @t49) (=> @t335 @t1096)))) % 53.50/53.73 (assume @p710 (forall @t1098 (=> @t1101 (=> @t335 (=> @t118 (= @t1092 (tptp.hAPP @t1100 @t1093))))))) % 53.50/53.73 (assume @p711 (forall @t1106 (=> @t1101 (=> @t335 (=> @t149 (= @t1105 @t1104)))))) % 53.50/53.73 (assume @p712 (forall @t1106 (=> @t1101 (=> @t335 (=> @t241 (= @t1107 (tptp.hAPP @t1103 @t1105))))))) % 53.50/53.73 (assume @p713 (forall (@list @t2 @t13 @t64 @t8 @t49) (=> @t1101 (=> @t415 (=> (not (tptp.hBOOL (tptp.hAPP @t117 @t64))) (= (tptp.hAPP @t1091 (tptp.hAPP @t27 @t64)) (tptp.hAPP @t1100 (tptp.hAPP @t1091 @t64)))))))) % 53.50/53.73 (assume @p714 (forall @t812 (=> @t1101 (=> @t335 (=> @t413 (= (tptp.hAPP (tptp.hAPP @t1099 @t1110) (tptp.hAPP @t1102 @t488)) @t1109)))))) % 53.50/53.73 (assume @p715 (forall @t1112 (=> @t1097 (=> @t335 (=> @t114 (= (tptp.hAPP @t1091 @t92) (tptp.hAPP @t1095 @t1111))))))) % 53.50/53.73 (assume @p716 (forall (@list @t2 @t25 @t88 @t8) (=> @t413 (=> @t114 (= (tptp.hAPP @t1114 @t92) (tptp.hAPP @t1117 @t1115)))))) % 53.50/53.73 (assume @p717 (forall @t1118 (=> @t1101 (=> @t335 (= @t1107 @t1104))))) % 53.50/53.73 (assume @p718 (forall @t812 (=> @t1101 (=> @t335 (=> @t413 (=> @t489 @t1119)))))) % 53.50/53.73 (assume @p719 (forall @t1112 (=> @t1097 (=> @t335 (=> @t413 (= (tptp.hAPP @t1091 @t131) (tptp.hAPP (tptp.hAPP @t1094 (tptp.hAPP (tptp.hAPP @t1099 @t1092) @t1111)) @t1120))))))) % 53.50/53.73 (assume @p720 (forall (@list @t2 @t25 @t13 @t8) (and (=> @t118 (= @t1121 (tptp.hAPP @t1117 @t794))) (=> @t251 (= @t1121 @t1116))))) % 53.50/53.73 (assume @p721 (forall (@list @t2 @t88 @t25 @t8) (=> @t335 (=> @t413 (= (tptp.hAPP @t1114 @t131) (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP (tptp.hAPP @t796 @t1116) @t1115)) (tptp.hAPP @t1114 @t488))))))) % 53.50/53.73 (assume @p722 (forall @t1075 (=> @t1074 @t1072))) % 53.50/53.73 (assume @p723 (forall (@list @t64 @t48 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t1123 @t64))) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1060 @t1122)) (forall @t571 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t567) @t1122)) (=> @t569 (= (tptp.hAPP @t1059 @t567) @t30)))))) (= (tptp.hAPP (tptp.hAPP @t486 @t48) (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t64)) @t30))))) % 53.50/53.73 (assume @p724 (forall @t116 (=> @t115 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1051 @t1124) (tptp.c_Predicate_OPowp @t8 @t88)))))) % 53.50/53.73 (assume @p725 (forall @t1126 (=> (and @t1101 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t49)) (=> @t335 (=> @t68 (=> (forall @t7 (=> @t183 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1125 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1125 @t1092) @t1105)))))))) % 53.50/53.73 (assume @p726 (forall @t1106 (=> @t811 (=> @t335 (=> @t149 (= @t1131 @t1130)))))) % 53.50/53.73 (assume @p727 (forall @t1139 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t98) (=> @t412 (=> (tptp.hBOOL (tptp.hAPP @t376 @t197)) (=> @t1138 (=> @t1137 (=> @t1134 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t1133) @t197)))))))))) % 53.50/53.73 (assume @p728 (forall (@list @t676 @t171 @t8) (=> (tptp.hBOOL (tptp.hAPP @t909 @t171)) (=> (tptp.hBOOL (tptp.hAPP @t334 @t1041)) (=> (forall (@list @t1144) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t1144) @t171)) (= (tptp.hAPP @t503 @t1144) @t676))) (=> (forall (@list @t1143) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t1143) @t171)) (forall (@list @t1142) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t1142) @t171)) (=> (not (= @t1143 @t1142)) (= (tptp.hAPP (tptp.hAPP @t486 @t1143) @t1142) @t30)))))) (= (tptp.hAPP @t1141 (tptp.hAPP @t1140 @t171)) (tptp.hAPP @t503 @t1041)))))))) % 53.50/53.73 (assume @p729 (forall @t1145 (=> @t811 (=> @t1084 (=> (forall @t7 (=> @t1068 @t1080)) (= @t1078 @t802)))))) % 53.50/53.73 (assume @p730 (forall @t1152 (=> @t335 (=> @t495 @t1151)))) % 53.50/53.73 (assume @p731 (forall (@list @t79 @t1153 @t1 @t25 @t8 @t49) (=> @t1022 (=> @t335 (=> (forall @t7 (=> @t183 @t1156)) (= @t1021 (tptp.hAPP (tptp.hAPP @t1154 @t79) @t25))))))) % 53.50/53.73 (assume @p732 (forall @t661 (not (tptp.hBOOL (tptp.hAPP @t660 @t1157))))) % 53.50/53.73 (assume @p733 (forall @t661 (tptp.hBOOL (tptp.hAPP @t1158 @t658)))) % 53.50/53.73 (assume @p734 (forall @t661 (tptp.hBOOL (tptp.hAPP @t1159 @t659)))) % 53.50/53.73 (assume @p735 (forall @t54 (=> (tptp.class_Groups_Ozero @t8) (= (= @t1160 @t48) @t1161)))) % 53.50/53.73 (assume @p736 (forall @t1169 (=> (and @t1168 (tptp.class_Rings_Ono__zero__divisors @t49)) (=> @t335 (= @t1167 @t1164))))) % 53.50/53.73 (assume @p737 (forall @t1169 (=> @t1168 (=> @t335 (=> @t1164 @t1167))))) % 53.50/53.73 (assume @p738 (forall @t1175 (=> @t1084 (= @t1174 @t1171)))) % 53.50/53.73 (assume @p739 (forall @t78 (=> @t873 (= (= @t33 @t848) @t1176)))) % 53.50/53.73 (assume @p740 (forall @t292 (=> @t801 @t1177))) % 53.50/53.73 (assume @p741 (forall @t292 (=> @t801 @t1179))) % 53.50/53.73 (assume @p742 (forall @t292 (=> @t1180 @t1179))) % 53.50/53.73 (assume @p743 (forall @t292 (=> @t1181 @t1179))) % 53.50/53.73 (assume @p744 (forall @t14 (=> @t1183 (= (= @t1160 @t1182) @t1176)))) % 53.50/53.73 (assume @p745 (forall @t292 (=> @t1180 @t1177))) % 53.50/53.73 (assume @p746 (forall @t292 (=> @t1181 @t1177))) % 53.50/53.73 (assume @p747 (forall @t295 (=> @t1187 (=> @t1186 (or @t1185 @t1184))))) % 53.50/53.73 (assume @p748 (forall @t295 (=> @t1187 (=> @t1189 (=> @t1188 (not @t1186)))))) % 53.50/53.73 (assume @p749 (forall @t46 (=> (tptp.class_Rings_Oring__no__zero__divisors @t8) (= (= @t1191 @t1160) (or @t1176 @t1190))))) % 53.50/53.73 (assume @p750 (forall @t292 (=> @t801 @t1192))) % 53.50/53.73 (assume @p751 (forall @t292 (=> @t1193 @t1192))) % 53.50/53.73 (assume @p752 (forall @t292 (=> @t801 @t1194))) % 53.50/53.73 (assume @p753 (forall @t292 (=> @t1193 @t1194))) % 53.50/53.73 (assume @p754 (forall @t46 (=> @t1196 (= @t1195 @t44)))) % 53.50/53.73 (assume @p755 (forall @t46 (=> @t426 (= @t44 @t1195)))) % 53.50/53.73 (assume @p756 (forall @t292 (=> @t916 (= (tptp.hAPP @t914 @t197) @t1135)))) % 53.50/53.73 (assume @p757 (forall @t292 (=> @t916 (= (tptp.hAPP @t914 @t1135) @t197)))) % 53.50/53.73 (assume @p758 (forall @t1198 (=> @t1197 (not (= @t1135 @t645))))) % 53.50/53.73 (assume @p759 (forall @t1198 (=> @t1197 (not (= @t645 @t1135))))) % 53.50/53.73 (assume @p760 (forall @t1200 (=> @t415 (= (= (tptp.hAPP @t1114 @t64) @t1157) (forall @t7 (=> @t1199 (= @t5 @t1157))))))) % 53.50/53.73 (assume @p761 (forall @t725 (not (= @t663 @t1157)))) % 53.50/53.73 (assume @p762 (forall @t725 (not (= @t1157 @t663)))) % 53.50/53.73 (assume @p763 (forall (@list @t1201) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t1201) @t1157)))) % 53.50/53.73 (assume @p764 (forall (@list @t1202) (not (= @t1157 (tptp.hAPP tptp.c_Nat_OSuc @t1202))))) % 53.50/53.73 (assume @p765 (forall @t661 (=> @t1205 @t1203))) % 53.50/53.73 (assume @p766 (forall @t668 (=> @t667 @t1205))) % 53.50/53.73 (assume @p767 (forall @t1209 (= @t1208 @t1206))) % 53.50/53.73 (assume @p768 (forall @t661 (= (tptp.hAPP (tptp.hAPP @t796 @t1157) @t658) @t658))) % 53.50/53.73 (assume @p769 (forall @t725 (= (tptp.hAPP @t817 @t1157) @t662))) % 53.50/53.73 (assume @p770 (forall @t701 (= (= @t1211 @t1157) (and @t1210 @t1207)))) % 53.50/53.73 (assume @p771 (forall @t668 (=> (= @t818 @t662) @t1204))) % 53.50/53.73 (assume @p772 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP @t776 @t1157)) @t1207))) % 53.50/53.73 (assume @p773 (forall @t668 (=> @t1213 (=> (= @t1212 @t1157) @t716)))) % 53.50/53.73 (assume @p774 (forall @t725 (= (tptp.hAPP @t669 @t662) @t1157))) % 53.50/53.73 (assume @p775 (forall @t725 (= (tptp.hAPP @t669 @t1157) @t662))) % 53.50/53.73 (assume @p776 (forall @t661 (= (tptp.hAPP (tptp.hAPP @t541 @t1157) @t658) @t1157))) % 53.50/53.73 (assume @p777 (forall @t684 (= @t1217 (or @t1214 @t702)))) % 53.50/53.73 (assume @p778 (forall @t823 (= (= @t1221 @t1220) @t1218))) % 53.50/53.73 (assume @p779 (forall @t684 (= @t1217 @t1218))) % 53.50/53.73 (assume @p780 (forall @t701 (= (= @t759 @t1157) (or @t1210 @t1207)))) % 53.50/53.73 (assume @p781 (forall @t725 (= (tptp.hAPP @t722 @t1157) @t1157))) % 53.50/53.73 (assume @p782 (forall @t661 (= (tptp.hAPP (tptp.hAPP @t704 @t1157) @t658) @t1157))) % 53.50/53.73 (assume @p783 (forall @t1225 (=> @t1224 (= (tptp.hAPP @t1223 @t81) @t641)))) % 53.50/53.73 (assume @p784 (forall @t1227 (=> @t1224 (= (tptp.hAPP @t1226 @t81) @t641)))) % 53.50/53.73 (assume @p785 (forall @t1230 (=> @t811 @t1229))) % 53.50/53.73 (assume @p786 (forall @t1169 (=> @t811 (=> @t1228 (= @t1166 @t802))))) % 53.50/53.73 (assume @p787 (forall @t1200 (=> @t415 (= (= (tptp.hAPP @t1173 @t64) @t638) (forall @t7 (=> @t1199 @t1231)))))) % 53.50/53.73 (assume @p788 (forall @t1235 (= @t1234 @t1232))) % 53.50/53.73 (assume @p789 (forall @t1152 (=> @t335 (=> @t495 @t1234)))) % 53.50/53.73 (assume @p790 (forall @t1235 (=> @t1234 @t335))) % 53.50/53.73 (assume @p791 (forall @t1235 (=> @t1234 @t495))) % 53.50/53.73 (assume @p792 (forall @t1152 (and (=> @t1232 @t1151) (=> (not @t1232) (= @t1150 @t1157))))) % 53.50/53.73 (assume @p793 (forall @t14 (=> @t1183 (= (tptp.hBOOL (tptp.hAPP @t1236 @t1182)) @t1237)))) % 53.50/53.73 (assume @p794 (forall @t14 (=> @t1183 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1182) @t1160)) @t1238)))) % 53.50/53.73 (assume @p795 (forall @t295 (=> @t1241 (=> @t1240 (=> @t1239 (tptp.hBOOL (tptp.hAPP @t1136 @t842))))))) % 53.50/53.73 (assume @p796 (forall @t167 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t8) (=> (tptp.hBOOL (tptp.hAPP @t1236 @t48)) (=> (tptp.hBOOL (tptp.hAPP @t1236 @t57)) (= (= @t1245 @t1160) @t1243)))))) % 53.50/53.73 (assume @p797 (forall @t205 (=> @t1241 (=> @t1240 (=> @t202 @t1246))))) % 53.50/53.73 (assume @p798 (forall @t1248 (=> @t1241 (=> @t1247 (=> @t214 @t1246))))) % 53.50/53.73 (assume @p799 (forall @t295 (=> @t1241 (=> @t1250 (=> @t1249 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t842) @t1135))))))) % 53.50/53.73 (assume @p800 (forall @t295 (=> @t1252 (=> (or (and @t1240 @t1249) (and @t1250 @t1239)) @t1251)))) % 53.50/53.73 (assume @p801 (forall @t295 (=> @t1254 (=> (or (and @t1240 @t1239) (and @t1250 @t1249)) @t1253)))) % 53.50/53.73 (assume @p802 (forall @t863 (=> @t1258 (=> @t213 (=> @t898 (=> @t1239 @t1257)))))) % 53.50/53.73 (assume @p803 (forall @t863 (=> @t1258 (=> @t213 (=> @t898 (=> @t1240 @t1257)))))) % 53.50/53.73 (assume @p804 (forall @t215 (=> @t1254 (=> @t214 (=> @t1263 @t1262))))) % 53.50/53.73 (assume @p805 (forall @t215 (=> @t1254 (=> @t214 (=> @t1263 @t1264))))) % 53.50/53.73 (assume @p806 (forall @t205 (=> (tptp.class_Rings_Oordered__comm__semiring @t98) @t1265))) % 53.50/53.73 (assume @p807 (forall @t205 (=> @t1258 @t1265))) % 53.50/53.73 (assume @p808 (forall @t205 (=> @t1258 (=> @t213 (=> @t1247 @t1264))))) % 53.50/53.73 (assume @p809 (forall @t295 (=> @t1254 (=> @t1250 (=> @t1249 @t1253))))) % 53.50/53.73 (assume @p810 (forall @t295 (=> @t1252 (=> @t1250 (=> @t1239 @t1251))))) % 53.50/53.73 (assume @p811 (forall @t295 (=> @t1252 (=> @t1240 (=> @t1249 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t999) @t1135))))))) % 53.50/53.73 (assume @p812 (forall @t295 (=> @t1252 (=> @t1240 (=> @t1249 @t1251))))) % 53.50/53.73 (assume @p813 (forall @t295 (=> @t1252 (=> @t1240 (=> @t1239 @t1253))))) % 53.50/53.73 (assume @p814 (forall @t46 (=> @t1270 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1191) @t1160)) @t1269)))) % 53.50/53.73 (assume @p815 (forall @t46 (=> @t1270 (= (tptp.hBOOL (tptp.hAPP @t1236 @t1191)) @t1271)))) % 53.50/53.73 (assume @p816 (forall @t292 (=> @t1272 (tptp.hBOOL (tptp.hAPP @t1136 @t481))))) % 53.50/53.73 (assume @p817 (forall @t14 (=> @t1183 (= (tptp.hBOOL (tptp.hAPP @t1273 @t1182)) @t1274)))) % 53.50/53.73 (assume @p818 (forall @t14 (=> @t1183 @t1276))) % 53.50/53.73 (assume @p819 (forall @t295 (=> @t1241 (=> @t1281 @t1280)))) % 53.50/53.73 (assume @p820 (forall @t295 (=> @t1241 (=> @t1285 @t1284)))) % 53.50/53.73 (assume @p821 (forall @t205 (=> @t791 (=> @t1281 @t1287)))) % 53.50/53.73 (assume @p822 (forall @t292 (=> @t1272 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t481) @t1135)))))) % 53.50/53.73 (assume @p823 (forall @t890 (=> @t1270 (= (tptp.hBOOL (tptp.hAPP @t1293 @t869)) @t1292)))) % 53.50/53.73 (assume @p824 (forall @t892 (=> @t1270 (= @t1297 @t1292)))) % 53.50/53.73 (assume @p825 (forall @t892 (=> @t1270 (=> @t1291 (= @t1297 @t404))))) % 53.50/53.73 (assume @p826 (forall @t295 (=> @t1299 (=> @t1281 (=> @t1279 @t1298))))) % 53.50/53.73 (assume @p827 (forall @t295 (=> @t1299 (=> @t1281 (=> @t1283 @t1300))))) % 53.50/53.73 (assume @p828 (forall @t295 (=> @t1299 (=> @t1281 (=> @t1283 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t999) @t1135))))))) % 53.50/53.73 (assume @p829 (forall @t295 (=> @t1299 (=> @t1298 @t1301)))) % 53.50/53.73 (assume @p830 (forall @t388 (=> @t1299 (=> (tptp.hBOOL (tptp.hAPP @t1277 @t999)) @t1301)))) % 53.50/53.73 (assume @p831 (forall @t892 (=> @t1270 (=> @t1290 (= @t1297 @t1289))))) % 53.50/53.73 (assume @p832 (forall @t295 (=> @t1299 (=> @t1285 (=> @t1279 @t1300))))) % 53.50/53.73 (assume @p833 (forall @t295 (=> @t1302 (=> @t1285 (=> @t1283 @t1298))))) % 53.50/53.73 (assume @p834 (forall @t205 (=> @t1299 (=> @t387 (=> @t1305 @t1304))))) % 53.50/53.73 (assume @p835 (forall @t205 (=> @t1299 @t1307))) % 53.50/53.73 (assume @p836 (forall @t205 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t98) @t1307))) % 53.50/53.73 (assume @p837 (forall @t215 (=> @t1302 (=> @t385 (=> @t1308 @t1304))))) % 53.50/53.73 (assume @p838 (forall @t215 (=> @t1302 (=> @t385 (=> @t1308 @t1306))))) % 53.50/53.73 (assume @p839 (forall @t46 (=> @t328 (= @t325 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t326) @t1160)))))) % 53.50/53.73 (assume @p840 (forall @t46 (=> @t328 (= @t404 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t326) @t1160)))))) % 53.50/53.73 (assume @p841 (forall (@list @t284 @t196 @t200 @t197 @t1309 @t98) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t98) (=> (not (= @t1309 @t1135)) (=> (and @t203 (not (= @t196 @t284))) (not (= (tptp.hAPP @t840 (tptp.hAPP @t1310 @t196)) (tptp.hAPP @t837 (tptp.hAPP @t1310 @t284))))))))) % 53.50/53.73 (assume @p842 (forall @t167 (=> @t1270 (= (= @t1312 @t1160) @t1243)))) % 53.50/53.73 (assume @p843 (forall @t1198 (=> @t791 (tptp.hBOOL (tptp.hAPP @t1136 @t645))))) % 53.50/53.73 (assume @p844 (forall @t1198 (=> @t791 (not (tptp.hBOOL (tptp.hAPP @t1313 @t1135)))))) % 53.50/53.73 (assume @p845 (forall @t1198 (=> @t791 (not (tptp.hBOOL (tptp.hAPP @t790 @t1135)))))) % 53.50/53.73 (assume @p846 (forall @t1198 (=> @t791 (tptp.hBOOL (tptp.hAPP @t1277 @t645))))) % 53.50/53.73 (assume @p847 (forall @t1225 (=> @t1316 (= (tptp.hAPP @t1315 @t81) @t1160)))) % 53.50/53.73 (assume @p848 (forall @t1227 (=> @t1316 (= (tptp.hAPP @t1317 @t81) @t1160)))) % 53.50/53.73 (assume @p849 (forall @t1169 (=> @t1101 (=> @t1228 (= @t1092 @t1162))))) % 53.50/53.73 (assume @p850 (forall @t1230 (=> @t1101 @t1318))) % 53.50/53.73 (assume @p851 (forall @t1323 (=> @t335 (= (= @t1116 @t1322) (exists @t7 (and @t183 (= @t5 @t1322) @t1321)))))) % 53.50/53.73 (assume @p852 (forall @t1209 (= @t1206 (exists @t1326 @t1325)))) % 53.50/53.73 (assume @p853 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP @t695 @t1322)) @t1207))) % 53.50/53.73 (assume @p854 (forall @t701 (= @t700 (or @t1210 (exists @t1329 (and (= @t673 (tptp.hAPP tptp.c_Nat_OSuc @t1327)) (tptp.hBOOL (tptp.hAPP @t1328 @t672)))))))) % 53.50/53.73 (assume @p855 (forall @t701 (= (= @t1211 @t1322) @t1332))) % 53.50/53.73 (assume @p856 (forall @t701 (= (= @t1322 @t1211) @t1332))) % 53.50/53.73 (assume @p857 (forall @t701 (= (tptp.hBOOL (tptp.hAPP @t1159 @t1211)) (or @t1333 @t1206)))) % 53.50/53.73 (assume @p858 (forall @t96 (= (tptp.hAPP @t503 @t30) @t1157))) % 53.50/53.73 (assume @p859 (forall @t135 @t1335)) % 53.50/53.73 (assume @p860 (forall @t701 (= (= @t759 @t1322) (and @t1331 @t1330)))) % 53.50/53.73 (assume @p861 (forall @t690 (=> @t1203 (=> @t1336 (tptp.hBOOL (tptp.hAPP @t691 @t662)))))) % 53.50/53.73 (assume @p862 (forall @t697 (= (tptp.hBOOL (tptp.hAPP @t1159 @t1337)) @t675))) % 53.50/53.73 (assume @p863 (forall @t684 (=> @t1339 (= @t1338 @t675)))) % 53.50/53.73 (assume @p864 (forall @t684 (=> @t1339 (= @t1217 @t702)))) % 53.50/53.73 (assume @p865 (forall @t736 (=> @t767 (=> @t1340 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t739) @t738)))))) % 53.50/53.73 (assume @p866 (forall @t736 (=> @t767 (=> @t1340 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t732) @t729)))))) % 53.50/53.73 (assume @p867 (forall @t823 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t1221) @t1220)) @t1341))) % 53.50/53.73 (assume @p868 (forall @t684 (= @t1338 @t1341))) % 53.50/53.73 (assume @p869 (forall @t701 (= (tptp.hBOOL (tptp.hAPP @t1159 @t759)) (and @t1333 @t1206)))) % 53.50/53.73 (assume @p870 (forall @t690 (= (tptp.hAPP @t785 @t833) @t1157))) % 53.50/53.73 (assume @p871 (forall @t668 (=> @t744 @t1213))) % 53.50/53.73 (assume @p872 (forall @t701 (= (= @t1342 @t1157) @t699))) % 53.50/53.73 (assume @p873 (forall @t1323 (=> @t335 (= (= @t1116 @t638) (exists @t7 (and @t183 @t1231 @t1321)))))) % 53.50/53.73 (assume @p874 (= @t638 @t1322)) % 53.50/53.73 (assume @p875 (forall @t668 (=> (= @t662 @t816) (or (= @t658 @t638) @t1343)))) % 53.50/53.73 (assume @p876 (forall @t295 (=> @t1241 (=> @t1250 @t1284)))) % 53.50/53.73 (assume @p877 (forall @t295 (=> @t1241 (=> @t1285 (=> @t1249 @t1282))))) % 53.50/53.73 (assume @p878 (forall @t205 (=> @t1241 (=> @t1240 @t1287)))) % 53.50/53.73 (assume @p879 (forall @t205 (=> @t1241 (=> @t1281 (=> @t202 @t1286))))) % 53.50/53.73 (assume @p880 (forall @t295 (=> @t1241 (=> @t1240 @t1280)))) % 53.50/53.73 (assume @p881 (forall @t295 (=> @t1241 (=> @t1281 (=> @t1239 @t1278))))) % 53.50/53.73 (assume @p882 (forall @t901 (=> @t1299 (=> @t1262 @t1344)))) % 53.50/53.73 (assume @p883 (forall @t900 (=> @t1299 (=> @t1264 @t1344)))) % 53.50/53.73 (assume @p884 (forall @t901 (=> @t1299 @t1346))) % 53.50/53.73 (assume @p885 (forall @t901 (=> @t1347 @t1346))) % 53.50/53.73 (assume @p886 (forall @t900 (=> @t1299 @t1348))) % 53.50/53.73 (assume @p887 (forall @t900 (=> @t1347 @t1348))) % 53.50/53.73 (assume @p888 (forall @t863 (=> @t1299 (=> @t213 (=> @t907 (=> @t1281 @t1350)))))) % 53.50/53.73 (assume @p889 (forall @t863 (=> @t1299 (=> @t387 (=> @t898 (=> @t1240 (=> @t1305 @t1349))))))) % 53.50/53.73 (assume @p890 (forall @t863 (=> @t1299 (=> @t387 (=> @t907 (=> @t1240 @t1350)))))) % 53.50/53.73 (assume @p891 (forall @t863 (=> @t1299 (=> @t387 (=> @t907 (=> @t1279 @t1350)))))) % 53.50/53.73 (assume @p892 (forall @t892 (=> @t1270 (=> @t1290 (= @t1352 @t1351))))) % 53.50/53.73 (assume @p893 (forall @t892 (=> @t1270 (=> @t1291 (= @t1352 @t325))))) % 53.50/53.73 (assume @p894 (forall @t167 (=> @t1270 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1312) @t1160)) @t1243)))) % 53.50/53.73 (assume @p895 (forall @t157 (=> @t1272 (tptp.hBOOL (tptp.hAPP @t1136 @t1354))))) % 53.50/53.73 (assume @p896 (forall @t157 (=> @t1272 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t1354) @t1135)))))) % 53.50/53.73 (assume @p897 (forall @t167 (=> @t1270 (= (tptp.hBOOL (tptp.hAPP @t1273 @t1312)) @t1356)))) % 53.50/53.73 (assume @p898 (forall @t157 (=> @t998 (=> @t1360 (=> @t1359 (=> @t1358 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1357) @t97)))))))) % 53.50/53.73 (assume @p899 (forall @t157 (=> @t998 (=> @t1360 (=> @t1359 (=> @t1358 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t865) @t97)))))))) % 53.50/53.73 (assume @p900 (forall @t1198 (=> @t791 (tptp.hBOOL (tptp.hAPP @t1277 @t963))))) % 53.50/53.73 (assume @p901 (forall @t135 (= @t1334 (or @t67 @t1228)))) % 53.50/53.73 (assume @p902 (forall @t135 (=> @t1361 @t335))) % 53.50/53.73 (assume @p903 (forall @t661 (=> @t1203 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t785 @t1322)) @t658)))) % 53.50/53.73 (assume @p904 (forall (@list @t730 @t658) (=> @t1203 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 (tptp.hAPP @t785 @t763)) @t658))))) % 53.50/53.73 (assume @p905 (forall @t690 (=> @t1364 (=> @t1363 (tptp.hBOOL (tptp.hAPP @t660 @t816)))))) % 53.50/53.73 (assume @p906 (forall @t690 (=> @t1364 (=> @t1363 (tptp.hBOOL (tptp.hAPP @t660 @t815)))))) % 53.50/53.73 (assume @p907 (forall @t690 (=> @t1364 (=> @t1363 (tptp.hBOOL (tptp.hAPP @t1362 @t816)))))) % 53.50/53.73 (assume @p908 (forall @t1374 (= @t1373 (not (or (and @t1372 @t1371) (exists @t1369 (and @t1368 (not @t1367)))))))) % 53.50/53.73 (assume @p909 (forall @t1374 (= @t1373 (and (=> @t1372 @t1370) (forall @t1369 (=> @t1368 @t1367)))))) % 53.50/53.73 (assume @p910 (forall @t701 (= (tptp.hBOOL (tptp.hAPP @t1375 @t759)) (and (tptp.hBOOL (tptp.hAPP @t1375 @t673)) (tptp.hBOOL (tptp.hAPP @t1375 @t672)))))) % 53.50/53.73 (assume @p911 (forall @t684 (=> @t1339 (= @t1376 @t699)))) % 53.50/53.73 (assume @p912 (forall @t823 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t1221) @t1220)) @t1377))) % 53.50/53.73 (assume @p913 (forall @t684 (= @t1376 @t1377))) % 53.50/53.73 (assume @p914 (forall @t1106 (=> @t811 (=> @t335 (=> @t241 (= @t1378 (tptp.hAPP @t1129 @t1131))))))) % 53.50/53.73 (assume @p915 (forall @t1098 (=> @t811 (=> @t335 (=> @t251 (= (tptp.hAPP @t1165 @t28) (tptp.hAPP (tptp.hAPP @t803 @t794) @t1166))))))) % 53.50/53.73 (assume @p916 (forall @t812 (=> @t811 (=> @t335 (=> @t413 (= (tptp.hAPP (tptp.hAPP @t803 @t1381) (tptp.hAPP @t1128 @t488)) @t1380)))))) % 53.50/53.73 (assume @p917 (forall @t1230 (=> @t811 @t1382))) % 53.50/53.73 (assume @p918 (forall @t1230 (=> @t811 (and @t1382 @t1229)))) % 53.50/53.73 (assume @p919 (forall @t1139 (=> (tptp.class_Rings_Olinordered__semiring__1 @t98) (=> @t318 (=> (tptp.hBOOL (tptp.hAPP @t153 @t197)) (=> @t1138 (=> @t1137 (=> @t1134 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1133) @t197)))))))))) % 53.50/53.73 (assume @p920 (forall @t1118 (=> @t811 (=> @t335 (= @t1378 @t1130))))) % 53.50/53.73 (assume @p921 (forall @t812 (=> @t811 (=> @t335 (=> @t413 (=> @t489 @t1383)))))) % 53.50/53.73 (assume @p922 (forall @t135 (= @t1361 (and @t68 @t335)))) % 53.50/53.73 (assume @p923 (forall @t1230 (=> @t1101 @t1384))) % 53.50/53.73 (assume @p924 (forall @t1230 (=> @t1101 (and @t1384 @t1318)))) % 53.50/53.73 (assume @p925 (forall @t661 (=> @t1203 (= @t658 @t1386)))) % 53.50/53.73 (assume @p926 (forall @t661 (=> @t1203 (= @t1386 @t658)))) % 53.50/53.73 (assume @p927 (forall @t668 (and (=> @t1343 (= @t818 @t658)) (=> @t1387 (= @t818 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t796 @t670) @t658))))))) % 53.50/53.73 (assume @p928 (forall @t668 (and (=> @t1343 (= @t816 @t1157)) (=> @t1387 (= @t816 (tptp.hAPP @t827 (tptp.hAPP (tptp.hAPP @t704 @t670) @t658))))))) % 53.50/53.73 (assume @p929 (forall @t14 (=> @t1388 @t1276))) % 53.50/53.73 (assume @p930 (forall @t1395 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t49) (=> @t413 (=> @t115 (=> (forall @t1394 (=> (tptp.hBOOL (tptp.hAPP @t1393 @t169)) (tptp.hBOOL (tptp.hAPP @t1392 (tptp.hAPP @t2 @t1391))))) @t1390)))))) % 53.50/53.73 (assume @p931 (forall @t1235 (= (= @t1148 (tptp.c_Orderings_Obot__class_Obot @t1397)) (and @t67 @t1396)))) % 53.50/53.73 (assume @p932 (forall @t116 (=> @t335 (=> @t413 (=> (=> (exists @t7 @t1399) @t1398) @t1023))))) % 53.50/53.73 (assume @p933 (forall @t812 (=> @t811 (=> @t335 (=> @t413 (=> (forall @t7 (=> @t1399 (= @t4 @t802))) @t1383)))))) % 53.50/53.73 (assume @p934 (forall @t1085 (=> @t811 (=> @t1084 (=> @t1083 (=> @t1082 (= (tptp.hAPP @t1165 @t1079) (tptp.hAPP (tptp.hAPP @t803 @t1401) @t1400)))))))) % 53.50/53.73 (assume @p935 (forall @t812 (=> @t1101 (=> @t335 (=> @t413 (=> (forall @t7 (=> @t1399 (= @t4 @t1162))) @t1119)))))) % 53.50/53.73 (assume @p936 (forall @t1085 (=> @t1101 (=> @t1084 (=> @t1083 (=> (forall @t7 (=> @t1081 @t1163)) (= (tptp.hAPP @t1091 @t1079) (tptp.hAPP (tptp.hAPP @t1099 @t1403) @t1402)))))))) % 53.50/53.73 (assume @p937 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t1157)) % 53.50/53.73 (assume @p938 (forall @t14 (=> @t1183 @t1404))) % 53.50/53.73 (assume @p939 (forall (@list @t676 @t25 @t8) (= (= @t504 @t703) (exists (@list @t1391 @t360) (and (= @t25 (tptp.hAPP (tptp.hAPP @t26 @t1391) @t360)) (not (tptp.hBOOL (tptp.hAPP @t1393 @t360))) (= (tptp.hAPP @t503 @t360) @t676) (=> @t1214 (= @t360 @t30))))))) % 53.50/53.73 (assume @p940 (forall @t1395 (=> (and @t1101 @t1406) (=> @t413 (=> @t115 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t181 @t169)) @t1405)) @t1390)))))) % 53.50/53.73 (assume @p941 (forall @t14 (=> @t1388 (=> @t1410 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t1408) @t1160)) @t1275))))) % 53.50/53.73 (assume @p942 (forall (@list @t13 @t2 @t25 @t8 @t49) (=> @t1414 (=> @t335 (=> (not (= @t794 @t1162)) (and (=> @t118 (= @t1411 (tptp.hAPP @t1413 @t794))) (=> @t251 (= @t1411 @t1166)))))))) % 53.50/53.73 (assume @p943 (forall (@list @t672 @t178) (=> @t1371 (=> @t1420 (exists @t941 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t939) @t672)) (forall @t1419 (=> (tptp.hBOOL (tptp.hAPP @t1418 @t939)) (not @t1417))) (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t796 @t939) @t638))))))))) % 53.50/53.73 (assume @p944 (forall @t1425 (=> @t811 (=> @t1083 (=> @t1424 (=> @t1422 (= @t1401 @t1400))))))) % 53.50/53.73 (assume @p945 (forall @t1425 (=> @t811 (=> @t1083 (=> @t1424 (=> @t1422 (= @t1400 @t1401))))))) % 53.50/53.73 (assume @p946 (forall @t1425 (=> @t1101 (=> @t1083 (=> @t1424 (=> @t1426 (= @t1403 @t1402))))))) % 53.50/53.73 (assume @p947 (forall @t292 (=> @t1428 (= (tptp.hAPP (tptp.hAPP @t1427 @t1135) @t197) @t1135)))) % 53.50/53.73 (assume @p948 (forall @t292 (=> @t1430 (= (tptp.hAPP @t1429 @t1135) @t1135)))) % 53.50/53.73 (assume @p949 (forall @t205 (=> @t1428 (= (tptp.hAPP @t1433 @t196) (tptp.hAPP (tptp.hAPP @t834 @t1432) @t1431))))) % 53.50/53.73 (assume @p950 (forall @t205 (=> @t1428 (= (tptp.hAPP @t476 @t1431) (tptp.hAPP (tptp.hAPP @t1427 @t477) @t196))))) % 53.50/53.73 (assume @p951 (forall @t205 (=> @t1428 (= (tptp.hAPP (tptp.hAPP @t1427 @t915) @t196) (tptp.hAPP (tptp.hAPP @t913 @t1432) @t1431))))) % 53.50/53.73 (assume @p952 (forall @t292 (=> @t1428 (= (tptp.hAPP @t1429 @t645) @t197)))) % 53.50/53.73 (assume @p953 (forall @t901 (=> @t1428 (=> @t1435 (=> (= @t874 @t200) (= @t197 @t1431)))))) % 53.50/53.73 (assume @p954 (forall @t1248 (=> @t1428 (=> @t1435 (=> (= @t200 @t874) (= @t1431 @t197)))))) % 53.50/53.73 (assume @p955 (forall @t1444 (=> @t1443 (=> @t1442 (= @t1440 @t1436))))) % 53.50/53.73 (assume @p956 (forall @t892 (=> @t1443 (=> @t1442 (= @t1446 @t1445))))) % 53.50/53.73 (assume @p957 (forall @t292 (=> @t1430 (and (=> @t1185 (= @t1447 @t1135)) @t1448)))) % 53.50/53.73 (assume @p958 (forall @t292 (=> @t1428 @t1448))) % 53.50/53.73 (assume @p959 (forall @t78 (=> @t1443 (=> (not @t1190) (= (= @t1449 @t641) @t44))))) % 53.50/53.73 (assume @p960 (forall @t96 (=> @t1451 (tptp.hBOOL (tptp.hAPP @t1450 @t1409))))) % 53.50/53.73 (assume @p961 (forall @t46 (=> @t1451 (=> @t1410 (=> @t1453 (tptp.hBOOL (tptp.hAPP @t1452 @t1409))))))) % 53.50/53.73 (assume @p962 (forall @t46 (=> @t1451 (=> @t1410 (=> @t1453 (tptp.hBOOL (tptp.hAPP @t1454 @t1409))))))) % 53.50/53.73 (assume @p963 (forall @t46 (=> @t1451 (=> @t1410 (=> @t1453 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t326) @t1409))))))) % 53.50/53.73 (assume @p964 (forall @t96 (=> @t1451 (tptp.hBOOL (tptp.hAPP @t1455 @t1409))))) % 53.50/53.73 (assume @p965 (forall @t14 (=> @t1456 (=> @t1410 @t1404)))) % 53.50/53.73 (assume @p966 (forall @t14 (=> @t1456 (=> @t1410 (not (= @t1408 @t1160)))))) % 53.50/53.73 (assume @p967 (forall @t853 (=> @t1462 (= @t1461 (and (=> @t1291 @t1460) (=> @t1459 (and (=> @t1290 @t1458) (=> @t1457 @t1238)))))))) % 53.50/53.73 (assume @p968 (forall @t1465 (=> @t1462 (= @t1464 (and (=> @t1291 @t1458) (=> @t1459 (and (=> @t1290 @t1460) (=> @t1457 @t1237)))))))) % 53.50/53.73 (assume @p969 (forall @t892 (=> @t1466 (=> @t1291 (= @t1461 @t1460))))) % 53.50/53.73 (assume @p970 (forall @t1444 (=> @t1466 (=> @t1291 (= @t1464 @t1458))))) % 53.50/53.73 (assume @p971 (forall @t224 (=> @t1473 (=> @t1472 (=> (tptp.hBOOL (tptp.hAPP @t100 @t1471)) (tptp.hBOOL (tptp.hAPP @t1469 @t216))))))) % 53.50/53.73 (assume @p972 (forall @t561 (=> @t1473 (=> @t1472 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1471) @t97)) (tptp.hBOOL (tptp.hAPP @t221 @t1468))))))) % 53.50/53.73 (assume @p973 (forall @t892 (=> @t1466 (=> @t1290 (= @t1461 @t1458))))) % 53.50/53.73 (assume @p974 (forall @t1444 (=> @t1466 (=> @t1290 (= @t1464 @t1460))))) % 53.50/53.73 (assume @p975 (forall (@list @t1474 @t216 @t152 @t97 @t98) (=> @t1475 (= (tptp.hAPP (tptp.hAPP @t473 @t1468) (tptp.hAPP (tptp.hAPP @t1427 @t216) @t1474)) (tptp.hAPP (tptp.hAPP @t1427 @t864) (tptp.hAPP @t1353 @t1474)))))) % 53.50/53.73 (assume @p976 (forall @t46 (=> @t1462 (= (tptp.hBOOL (tptp.hAPP @t1236 @t1449)) @t1271)))) % 53.50/53.73 (assume @p977 (forall @t46 (=> @t1462 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1449) @t1160)) @t1269)))) % 53.50/53.73 (assume @p978 (forall @t205 (=> @t1476 (=> @t213 (=> @t1247 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1432) @t1431))))))) % 53.50/53.73 (assume @p979 (forall @t205 (=> @t1476 (=> @t213 (=> @t1263 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1431) @t1432))))))) % 53.50/53.73 (assume @p980 (forall @t215 (=> @t1473 (=> @t385 (=> @t1308 @t1477))))) % 53.50/53.73 (assume @p981 (forall @t205 (=> @t1473 (=> @t387 (=> @t1305 @t1477))))) % 53.50/53.73 (assume @p982 (forall @t157 (=> @t1473 (=> @t1480 (=> @t1479 @t1478))))) % 53.50/53.73 (assume @p983 (forall @t157 (=> @t1473 (=> @t1480 (=> @t1472 @t1482))))) % 53.50/53.73 (assume @p984 (forall @t157 (=> @t1473 (=> @t1483 (=> @t1479 @t1482))))) % 53.50/53.73 (assume @p985 (forall @t157 (=> @t1473 (=> @t1483 (=> @t1472 @t1478))))) % 53.50/53.73 (assume @p986 (forall @t46 (=> @t1462 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t1449) @t1160)) (or (and @t1274 @t1485) (and @t1275 @t1484)))))) % 53.50/53.73 (assume @p987 (forall @t46 (=> @t1462 (= (tptp.hBOOL (tptp.hAPP @t1273 @t1449)) (or (and @t1274 @t1484) (and @t1275 @t1485)))))) % 53.50/53.73 (assume @p988 (forall @t853 (=> @t1487 (= @t1446 (and (=> @t1442 @t1445) @t1486))))) % 53.50/53.73 (assume @p989 (forall @t1465 (=> @t1487 (= @t1440 (and (=> @t1442 @t1436) @t1486))))) % 53.50/53.73 (assume @p990 (forall @t901 (=> @t1475 (=> @t1435 (= (tptp.hAPP (tptp.hAPP @t1427 @t874) @t475) @t1488))))) % 53.50/53.73 (assume @p991 (forall @t901 (=> @t1475 (=> @t1435 (= (tptp.hAPP (tptp.hAPP @t1427 @t1261) @t1260) @t1488))))) % 53.50/53.73 (assume @p992 (forall (@list @t881 @t48 @t79 @t57 @t8) (=> @t1490 (=> @t1355 (=> (not @t1489) (= (= (tptp.hAPP (tptp.hAPP @t1437 @t48) @t57) (tptp.hAPP (tptp.hAPP @t1437 @t881) @t79)) (= @t883 @t884))))))) % 53.50/53.73 (assume @p993 (forall @t157 (=> @t1473 (=> @t1360 (=> @t1472 @t1491))))) % 53.50/53.73 (assume @p994 (forall @t157 (=> @t1473 (=> @t1360 (=> @t1479 @t1492))))) % 53.50/53.73 (assume @p995 (forall @t1498 (=> @t1473 (=> @t1483 (=> @t155 (=> @t1497 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t1474) @t216)) @t1496))))))) % 53.50/53.73 (assume @p996 (forall @t1498 (=> @t1473 (=> @t1360 (=> @t378 (=> @t1497 (=> @t1499 @t1496))))))) % 53.50/53.73 (assume @p997 (forall @t1498 (=> @t1473 (=> @t1360 (=> @t155 (=> @t1497 (=> @t1499 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1495) @t1494))))))))) % 53.50/53.73 (assume @p998 (forall @t157 (=> @t1473 (=> @t1500 (=> @t1472 @t1492))))) % 53.50/53.73 (assume @p999 (forall @t157 (=> @t1473 (=> @t1500 (=> @t1479 @t1491))))) % 53.50/53.73 (assume @p1000 (forall @t205 (=> @t1473 (=> @t387 (=> @t1308 @t1504))))) % 53.50/53.73 (assume @p1001 (forall @t215 (=> @t1473 (=> @t385 (=> @t1305 @t1504))))) % 53.50/53.73 (assume @p1002 (forall @t1444 (=> @t1466 (=> @t1290 (= @t1507 @t1505))))) % 53.50/53.73 (assume @p1003 (forall @t892 (=> @t1466 (=> @t1290 (= @t1509 @t1508))))) % 53.50/53.73 (assume @p1004 (forall @t561 (=> @t1473 (=> @t1472 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t1471) @t97)) (tptp.hBOOL (tptp.hAPP @t397 @t1468))))))) % 53.50/53.73 (assume @p1005 (forall @t224 (=> @t1473 (=> @t1472 (=> (tptp.hBOOL (tptp.hAPP @t367 @t1471)) (tptp.hBOOL (tptp.hAPP @t1481 @t216))))))) % 53.50/53.73 (assume @p1006 (forall @t1444 (=> @t1466 (=> @t1291 (= @t1507 @t1508))))) % 53.50/53.73 (assume @p1007 (forall @t892 (=> @t1466 (=> @t1291 (= @t1509 @t1505))))) % 53.50/53.73 (assume @p1008 (forall @t1465 (=> @t1462 (= @t1507 (and (=> @t1291 @t1508) (=> @t1459 (and (=> @t1290 @t1505) (=> @t1457 @t1274)))))))) % 53.50/53.73 (assume @p1009 (forall @t853 (=> @t1462 (= @t1509 (and (=> @t1291 @t1505) (=> @t1459 (and (=> @t1290 @t1508) (=> @t1457 @t1275)))))))) % 53.50/53.73 (assume @p1010 (forall @t1517 (=> @t1516 (=> @t1515 (=> @t1514 (= (tptp.hAPP @t1513 @t1512) (tptp.hAPP (tptp.hAPP @t1427 (tptp.hAPP (tptp.hAPP @t834 @t864) @t1511)) @t1510))))))) % 53.50/53.73 (assume @p1011 (forall @t1520 (=> @t1516 (=> @t1514 (= (tptp.hAPP (tptp.hAPP @t834 @t1495) @t152) (tptp.hAPP @t1519 @t216)))))) % 53.50/53.73 (assume @p1012 (forall @t224 (=> @t1475 (=> @t1515 (= (tptp.hAPP @t1513 @t216) @t1521))))) % 53.50/53.73 (assume @p1013 (forall @t1520 (=> @t1516 (=> @t1514 (= (tptp.hAPP @t1518 @t1523) (tptp.hAPP (tptp.hAPP @t1427 (tptp.hAPP (tptp.hAPP @t834 @t1522) @t152)) @t216)))))) % 53.50/53.73 (assume @p1014 (forall @t561 (=> @t1475 (=> @t1515 (= (tptp.hAPP @t1524 @t1468) @t1521))))) % 53.50/53.73 (assume @p1015 (forall @t1520 (=> @t1516 (=> @t1514 (= (tptp.hAPP @t1525 @t1523) (tptp.hAPP (tptp.hAPP @t1427 (tptp.hAPP (tptp.hAPP @t913 @t1522) @t152)) @t216)))))) % 53.50/53.73 (assume @p1016 (forall @t1520 (=> @t1516 (=> @t1514 (= (tptp.hAPP (tptp.hAPP @t913 @t1495) @t152) (tptp.hAPP (tptp.hAPP @t1427 (tptp.hAPP @t1525 @t1471)) @t216)))))) % 53.50/53.73 (assume @p1017 (forall @t1517 (=> @t1516 (=> @t1515 (=> @t1514 (= (tptp.hAPP (tptp.hAPP @t913 @t1468) @t1512) (tptp.hAPP (tptp.hAPP @t1427 (tptp.hAPP (tptp.hAPP @t913 @t864) @t1511)) @t1510))))))) % 53.50/53.73 (assume @p1018 (forall @t295 (=> @t1473 (=> @t387 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t1526) @t200)))))) % 53.50/53.73 (assume @p1019 (forall @t295 (=> @t1473 (=> @t387 (tptp.hBOOL (tptp.hAPP @t386 @t1526)))))) % 53.50/53.73 (assume @p1020 (forall @t205 (=> @t1476 (=> @t213 (=> @t1263 @t1527))))) % 53.50/53.73 (assume @p1021 (forall @t215 (=> @t1473 (=> @t214 (=> @t1247 @t1527))))) % 53.50/53.73 (assume @p1022 (forall @t1112 (=> @t1414 (=> @t335 (=> @t413 (=> (forall @t7 (=> @t1399 (not @t1163))) (= (tptp.hAPP @t1165 @t131) (tptp.hAPP (tptp.hAPP @t1412 (tptp.hAPP (tptp.hAPP @t803 @t1166) @t1528)) (tptp.hAPP @t1165 @t488))))))))) % 53.50/53.73 (assume @p1023 (forall @t1425 (=> @t1101 (=> @t1083 (=> @t1424 (=> @t1426 (= @t1402 @t1403))))))) % 53.50/53.73 (assume @p1024 (forall @t157 (=> @t1476 (=> (forall @t1530 (=> (tptp.hBOOL (tptp.hAPP @t1277 @t1529)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t1529) @t645)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP (tptp.hAPP @t473 @t1529) @t97)) @t152))))) @t155)))) % 53.50/53.73 (assume @p1025 (forall @t1175 (=> @t1084 (=> @t1171 @t1174)))) % 53.50/53.73 (assume @p1026 (forall (@list @t672 @t25 @t2 @t8) (=> (= @t1116 @t692) (exists @t7 (and @t183 @t1170))))) % 53.50/53.73 (assume @p1027 (forall @t135 (=> @t335 (=> (=> @t250 @t1398) @t1334)))) % 53.50/53.73 (assume @p1028 (forall @t1532 (=> @t538 (=> @t335 (=> @t1531 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 (tptp.hAPP (tptp.hAPP @t528 @t33) @t32)) (tptp.hAPP (tptp.hAPP @t534 @t32) @t25)))))))) % 53.50/53.73 (assume @p1029 (forall @t1532 (=> @t138 (=> @t335 (=> @t1065 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 (tptp.hAPP (tptp.hAPP @t574 @t32) @t25)) (tptp.hAPP (tptp.hAPP @t137 @t33) @t32)))))))) % 53.50/53.73 (assume @p1030 (forall @t1536 (=> (tptp.hBOOL (tptp.hAPP @t1159 @t1534)) (= @t1534 (tptp.hAPP tptp.c_Nat_OSuc @t1535))))) % 53.50/53.73 (assume @p1031 (forall @t1542 (=> @t1043 (not (forall @t1541 (=> @t1540 (not @t1539))))))) % 53.50/53.73 (assume @p1032 (forall @t1169 (=> @t1544 (=> (forall @t7 (=> @t183 (tptp.hBOOL (tptp.hAPP @t1543 @t5)))) (tptp.hBOOL (tptp.hAPP @t1543 @t1166)))))) % 53.50/53.73 (assume @p1033 (forall @t1169 (=> @t1544 (=> (forall @t7 (=> @t183 @t1405)) (tptp.hBOOL (tptp.hAPP @t1392 @t1166)))))) % 53.50/53.73 (assume @p1034 (forall @t116 (=> @t374 (=> @t68 (=> @t115 (=> @t413 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 (tptp.hAPP @t1546 @t88)) @t1547)))))))) % 53.50/53.73 (assume @p1035 (forall @t157 (=> @t1473 (=> (forall (@list @t1548) (=> (tptp.hBOOL (tptp.hAPP @t1277 @t1548)) (tptp.hBOOL (tptp.hAPP @t100 (tptp.hAPP @t866 @t1548))))) @t155)))) % 53.50/53.73 (assume @p1036 (forall (@list @t33 @t13 @t1549 @t1550 @t49 @t8) (= (tptp.c_Nitpick_Opair__box_Opair__box__size @t8 @t49 @t1550 @t1549 @t1552) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t1551 (tptp.hAPP @t1549 @t33))) @t1322)))) % 53.50/53.73 (assume @p1037 (forall @t1557 (= (= @t1552 (tptp.c_Nitpick_Opair__box_OPairBox @t8 @t49 @t1554 @t1553)) @t1556))) % 53.50/53.73 (assume @p1038 (forall @t103 (=> @t156 (= (tptp.hAPP @t1559 @t97) @t97)))) % 53.50/53.73 (assume @p1039 (forall @t219 (=> @t156 (= (tptp.hAPP (tptp.hAPP @t1558 @t1563) @t216) @t1562)))) % 53.50/53.73 (assume @p1040 (forall @t205 (=> @t156 (= (tptp.hAPP (tptp.hAPP @t1558 @t1567) @t196) @t1566)))) % 53.50/53.73 (assume @p1041 (forall @t219 (=> @t156 (= @t1562 (tptp.hAPP @t1560 @t1568))))) % 53.50/53.73 (assume @p1042 (forall @t215 (=> @t156 (= (tptp.hAPP @t1564 (tptp.hAPP @t1565 @t196)) @t1566)))) % 53.50/53.73 (assume @p1043 (forall @t157 (=> @t156 (= (tptp.hAPP @t1559 @t1563) @t1563)))) % 53.50/53.73 (assume @p1044 (forall @t295 (=> @t156 (= (tptp.hAPP @t1565 @t1567) @t1567)))) % 53.50/53.73 (assume @p1045 (forall @t157 (=> @t156 (= @t1563 @t1569)))) % 53.50/53.73 (assume @p1046 (forall @t295 (=> @t156 (= @t1567 (tptp.hAPP @t1564 @t197))))) % 53.50/53.73 (assume @p1047 (forall @t292 (=> @t156 (= (tptp.hAPP @t1565 @t197) @t197)))) % 53.50/53.73 (assume @p1048 (forall @t1579 (=> @t1578 (and (=> @t1574 (= @t1573 @t1572)) (=> @t1575 (= @t1573 @t1571)))))) % 53.50/53.73 (assume @p1049 (forall @t167 (=> @t1584 (= @t1582 @t165)))) % 53.50/53.73 (assume @p1050 (forall (@list @t48 @t881 @t8) (=> @t1577 (= (= @t1585 @t48) (= @t48 @t1585))))) % 53.50/53.73 (assume @p1051 (forall @t157 (=> @t156 (tptp.hBOOL (tptp.hAPP @t1586 @t97))))) % 53.50/53.73 (assume @p1052 (forall @t157 (=> @t156 (tptp.hBOOL (tptp.hAPP @t1586 @t152))))) % 53.50/53.73 (assume @p1053 (forall @t167 (=> @t374 (= @t164 (= @t1588 @t48))))) % 53.50/53.73 (assume @p1054 (forall @t316 (=> @t374 (= (tptp.hBOOL (tptp.hAPP @t163 (tptp.hAPP (tptp.hAPP @t1545 @t57) @t79))) @t551)))) % 53.50/53.73 (assume @p1055 (forall @t289 (=> @t156 (=> @t276 @t1590)))) % 53.50/53.73 (assume @p1056 (forall @t550 (=> @t156 (=> @t275 @t1590)))) % 53.50/53.73 (assume @p1057 (forall @t157 (=> @t156 (=> @t155 (= @t1563 @t97))))) % 53.50/53.73 (assume @p1058 (forall @t220 (=> @t156 (=> @t154 (= @t1563 @t152))))) % 53.50/53.73 (assume @p1059 (forall @t319 (=> @t156 (=> @t318 (=> @t320 @t1591))))) % 53.50/53.73 (assume @p1060 (forall @t219 (=> @t156 (=> @t155 (=> @t217 (tptp.hBOOL (tptp.hAPP @t100 @t1561))))))) % 53.50/53.73 (assume @p1061 (forall @t286 (=> @t156 (=> @t199 (=> @t285 (tptp.hBOOL (tptp.hAPP @t1589 (tptp.hAPP (tptp.hAPP @t1558 @t196) @t284)))))))) % 53.50/53.73 (assume @p1062 (forall @t319 (=> @t156 (=> @t1591 @t546)))) % 53.50/53.73 (assume @p1063 (forall @t316 (=> @t374 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1588) @t79)) (or @t314 @t313))))) % 53.50/53.73 (assume @p1064 (forall @t316 (=> @t374 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t1588) @t79)) (or @t1593 @t1592))))) % 53.50/53.73 (assume @p1065 (forall @t1597 (=> @t374 (= (tptp.hBOOL (tptp.hAPP @t1594 @t1588)) (and @t1596 @t1595))))) % 53.50/53.73 (assume @p1066 (forall @t550 (=> @t156 (=> @t559 @t1598)))) % 53.50/53.73 (assume @p1067 (forall @t289 (=> @t156 (=> @t558 @t1598)))) % 53.50/53.73 (assume @p1068 (forall @t167 (=> @t1603 (= (tptp.hBOOL (tptp.hAPP @t1602 @t1580)) @t1601)))) % 53.50/53.73 (assume @p1069 (forall @t167 (=> @t1603 (= (tptp.hBOOL (tptp.hAPP @t1607 @t1580)) @t1606)))) % 53.50/53.73 (assume @p1070 (forall @t219 (=> @t899 (= (tptp.hAPP (tptp.hAPP @t834 @t1563) @t216) (tptp.hAPP (tptp.hAPP @t1558 @t1608) @t867))))) % 53.50/53.73 (assume @p1071 (forall @t219 (=> @t1611 (= (tptp.hAPP (tptp.hAPP @t913 @t1563) @t216) (tptp.hAPP (tptp.hAPP @t1558 @t1610) @t1609))))) % 53.50/53.73 (assume @p1072 (forall @t1622 (=> @t1621 (= @t1620 @t1616)))) % 53.50/53.73 (assume @p1073 (forall @t1622 (=> @t1621 (= @t1616 @t1620)))) % 53.50/53.73 (assume @p1074 (forall @t1623 (=> @t1621 (= (tptp.hAPP @t1615 (tptp.hAPP (tptp.hAPP @t834 @t1613) @t216)) (tptp.hAPP (tptp.hAPP @t834 @t1620) @t216))))) % 53.50/53.73 (assume @p1075 (forall @t1623 (=> @t1621 (= (tptp.hAPP @t1628 (tptp.hAPP (tptp.hAPP @t473 @t1613) @t216)) (tptp.hAPP (tptp.hAPP @t473 @t1627) @t216))))) % 53.50/53.73 (assume @p1076 (forall @t1622 (=> @t1621 (= @t1629 @t1627)))) % 53.50/53.73 (assume @p1077 (forall @t1622 (=> @t1621 (= @t1627 @t1629)))) % 53.50/53.73 (assume @p1078 (forall @t1622 (=> @t1621 (= (tptp.hAPP @t1612 (tptp.hAPP (tptp.hAPP @t1632 @t1132) @t1474)) @t1631)))) % 53.50/53.73 (assume @p1079 (forall @t96 (=> (and @t538 @t374) (= @t528 @t1545)))) % 53.50/53.73 (assume @p1080 (forall @t661 (= (tptp.hAPP (tptp.hAPP @t1633 @t1157) @t658) @t1157))) % 53.50/53.73 (assume @p1081 (forall @t661 (= (tptp.hAPP @t1634 @t1157) @t1157))) % 53.50/53.73 (assume @p1082 (forall @t668 (= (tptp.hAPP (tptp.hAPP @t1633 @t663) @t659) (tptp.hAPP tptp.c_Nat_OSuc @t1635)))) % 53.50/53.73 (assume @p1083 (forall (@list @t658 @t730 @t662) (= (tptp.hAPP (tptp.hAPP @t1633 (tptp.hAPP @t669 @t730)) @t787) (tptp.hAPP (tptp.hAPP @t541 @t1635) @t730)))) % 53.50/53.73 (assume @p1084 (forall @t96 (=> @t374 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t1545)))) % 53.50/53.73 (assume @p1085 (forall @t1638 (=> (and @t1577 @t374) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1636) @t1585)) (not (tptp.hBOOL (tptp.hAPP @t1637 @t1636))))))) % 53.50/53.73 (assume @p1086 (forall @t1642 (=> @t1641 (= (tptp.hAPP (tptp.hAPP @t465 (tptp.hAPP (tptp.hAPP @t844 @t197) @t200)) @t1571) (tptp.hAPP (tptp.hAPP @t844 @t1640) @t1639))))) % 53.50/53.73 (assume @p1087 (forall @t1646 (=> @t1641 (= (tptp.hAPP @t1643 (tptp.hAPP (tptp.hAPP @t844 @t200) @t196)) (tptp.hAPP (tptp.hAPP @t844 @t1645) @t1644))))) % 53.50/53.73 (assume @p1088 (forall (@list @t196 @t1474 @t1132 @t98) (=> @t1621 (= (tptp.hAPP @t1615 (tptp.hAPP (tptp.hAPP @t913 @t1613) @t196)) (tptp.hAPP (tptp.hAPP @t913 @t1620) @t196))))) % 53.50/53.73 (assume @p1089 (forall @t1646 (=> @t1647 (= (tptp.hAPP @t1643 (tptp.hAPP (tptp.hAPP @t267 @t200) @t196)) (tptp.hAPP (tptp.hAPP @t267 @t1645) @t1644))))) % 53.50/53.73 (assume @p1090 (forall @t1642 (=> @t1647 (= (tptp.hAPP (tptp.hAPP @t465 (tptp.hAPP (tptp.hAPP @t267 @t197) @t200)) @t1571) (tptp.hAPP (tptp.hAPP @t267 @t1640) @t1639))))) % 53.50/53.73 (assume @p1091 (forall @t1649 (=> @t1583 (tptp.hBOOL (tptp.hAPP @t1648 @t1409))))) % 53.50/53.73 (assume @p1092 (forall @t1656 (=> @t1655 (= (= @t1654 @t13) (and (=> @t1653 (= @t33 @t1652)) @t1651))))) % 53.50/53.73 (assume @p1093 (forall @t1659 (=> @t1655 (= (= @t1439 @t1585) (and (=> @t1442 (= @t33 @t1658)) @t1657))))) % 53.50/53.73 (assume @p1094 (forall @t1660 (=> @t1655 (= (= @t1585 @t1439) (and (=> @t1442 (= @t1658 @t33)) @t1657))))) % 53.50/53.73 (assume @p1095 (forall @t1661 (=> @t1655 (= (= @t13 @t1654) (and (=> @t1653 (= @t1652 @t33)) @t1651))))) % 53.50/53.73 (assume @p1096 (forall @t539 (=> @t374 (=> @t335 (= (tptp.hAPP @t1663 @t28) (tptp.hAPP @t1665 @t1664)))))) % 53.50/53.73 (assume @p1097 (forall @t1661 (=> @t1672 (= (tptp.hBOOL (tptp.hAPP @t403 @t1654)) (and (=> @t1669 @t1671) (=> @t1670 (and (=> @t1666 @t1668) (=> @t1667 @t1275)))))))) % 53.50/53.73 (assume @p1098 (forall @t1660 (=> @t1672 (= (tptp.hBOOL (tptp.hAPP @t1637 @t1439)) (and (=> @t1291 @t1674) (=> @t1459 (and (=> @t1290 @t1673) (=> @t1457 @t1666)))))))) % 53.50/53.73 (assume @p1099 (forall @t1659 (=> @t1672 (= (tptp.hBOOL (tptp.hAPP @t1506 @t1585)) (and (=> @t1291 @t1673) (=> @t1459 (and (=> @t1290 @t1674) (=> @t1457 @t1669)))))))) % 53.50/53.73 (assume @p1100 (forall @t1656 (=> @t1672 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t1654) @t13)) (and (=> @t1669 @t1668) (=> @t1670 (and (=> @t1666 @t1671) (=> @t1667 @t1274)))))))) % 53.50/53.73 (assume @p1101 (forall @t545 (=> @t374 (=> @t335 (=> @t118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1664) (tptp.hAPP @t1665 @t33)))))))) % 53.50/53.73 (assume @p1102 (forall @t363 (=> @t374 (=> @t335 (=> @t118 (tptp.hBOOL (tptp.hAPP @t1675 @t13))))))) % 53.50/53.73 (assume @p1103 (forall @t73 (=> @t374 (=> @t335 (=> @t68 (= (tptp.hBOOL (tptp.hAPP @t1675 @t48)) (exists @t7 (and @t183 (tptp.hBOOL (tptp.hAPP @t1064 @t48)))))))))) % 53.50/53.73 (assume @p1104 (forall @t73 (=> @t374 (=> @t335 (=> @t68 (= (tptp.hBOOL (tptp.hAPP @t163 @t1547)) @t616)))))) % 53.50/53.73 (assume @p1105 (forall @t73 (=> @t374 (=> @t335 (=> @t68 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t1547) @t48)) (exists @t7 (and @t183 (tptp.hBOOL (tptp.hAPP @t1676 @t48)))))))))) % 53.50/53.73 (assume @p1106 (forall @t73 (=> @t374 (=> @t335 (=> @t68 (= (tptp.hBOOL (tptp.hAPP @t371 @t1547)) (forall @t7 (=> @t183 (tptp.hBOOL (tptp.hAPP @t371 @t3)))))))))) % 53.50/53.73 (assume @p1107 (forall @t1656 (=> @t1672 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1654) @t13)) (and (=> @t1669 @t1678) (=> @t1670 (and (=> @t1666 @t1677) (=> @t1667 @t1237)))))))) % 53.50/53.73 (assume @p1108 (forall @t1659 (=> @t1672 (= (tptp.hBOOL (tptp.hAPP @t1463 @t1585)) (and (=> @t1291 @t1680) (=> @t1459 (and (=> @t1290 @t1679) (=> @t1457 (tptp.hBOOL (tptp.hAPP @t1236 @t1585)))))))))) % 53.50/53.73 (assume @p1109 (forall @t1660 (=> @t1672 (= (tptp.hBOOL (tptp.hAPP @t1681 @t1439)) (and (=> @t1291 @t1679) (=> @t1459 (and (=> @t1290 @t1680) (=> @t1457 (tptp.hBOOL (tptp.hAPP @t1681 @t1160)))))))))) % 53.50/53.73 (assume @p1110 (forall @t1661 (=> @t1672 (= (tptp.hBOOL (tptp.hAPP @t324 @t1654)) (and (=> @t1669 @t1677) (=> @t1670 (and (=> @t1666 @t1678) (=> @t1667 @t1238)))))))) % 53.50/53.73 (assume @p1111 (forall @t1682 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Nitpick_Opair__box @t98 @t8)) (tptp.c_Nitpick_Opair__box_OPairBox @t98 @t8 @t197 @t200)) @t1157))) % 53.50/53.73 (assume @p1112 (forall @t1687 (= (tptp.c_Nitpick_Opair__box_Opair__box__case @t49 @t1685 @t8 @t1683 @t1686) @t1684))) % 53.50/53.73 (assume @p1113 (forall @t1687 (= (tptp.c_Nitpick_Opair__box_Opair__box__rec @t49 @t1685 @t8 @t1683 @t1686) @t1684))) % 53.50/53.73 (assume @p1114 (forall @t96 (=> @t1576 (= @t1545 (tptp.c_Orderings_Oord_Omin @t8 @t160))))) % 53.50/53.73 (assume @p1115 (forall @t73 (=> @t374 (=> @t335 (=> @t149 (and (=> @t332 @t1690) (=> @t333 (= @t1689 @t1688)))))))) % 53.50/53.73 (assume @p1116 (forall @t73 (=> @t374 (=> @t335 (=> @t149 (and (=> @t332 (= @t1692 @t48)) (=> @t333 (= @t1692 @t1691)))))))) % 53.50/53.73 (assume @p1117 (forall @t73 (=> @t374 (=> @t335 (=> @t241 (= @t1694 @t1693)))))) % 53.50/53.73 (assume @p1118 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t1633)) % 53.50/53.73 (assume @p1119 (forall @t1701 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1700) @t1699)) @t1697))) % 53.50/53.73 (assume @p1120 (forall @t1704 (= (tptp.hAPP (tptp.hAPP @t1624 @t1703) @t1702) (tptp.hAPP @t1698 @t1626)))) % 53.50/53.73 (assume @p1121 (forall @t1701 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1700) @t1699)) @t1706))) % 53.50/53.73 (assume @p1122 (forall @t1704 (= (tptp.hAPP @t1707 @t1702) (tptp.hAPP @t1698 @t1619)))) % 53.50/53.73 (assume @p1123 (forall @t1715 (=> @t1714 (tptp.hBOOL (tptp.hAPP @t1712 @t1710))))) % 53.50/53.73 (assume @p1124 (forall @t1718 (= (tptp.hBOOL (tptp.hAPP @t1717 @t79)) @t1716))) % 53.50/53.73 (assume @p1125 (forall @t701 (=> (tptp.hBOOL (tptp.hAPP @t1712 @t673)) (= @t1720 @t1719)))) % 53.50/53.73 (assume @p1126 (forall @t736 (=> @t1724 (=> @t1722 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 (tptp.hAPP @t1721 @t730)) (tptp.hAPP @t1721 @t727))))))) % 53.50/53.73 (assume @p1127 (forall @t1701 (= @t1706 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 (tptp.hAPP (tptp.hAPP @t1632 @t676) @t1695)) @t1711))))) % 53.50/53.73 (assume @p1128 (tptp.hBOOL (tptp.hAPP @t1712 @t1708))) % 53.50/53.73 (assume @p1129 (forall @t1715 (= (tptp.hAPP @t1725 @t1711) @t216))) % 53.50/53.73 (assume @p1130 (forall @t1715 (= (tptp.hAPP (tptp.hAPP @t1617 @t1711) @t216) @t216))) % 53.50/53.73 (assume @p1131 (forall @t1715 (not (= (tptp.hAPP (tptp.hAPP @t1617 @t1710) @t216) @t1711)))) % 53.50/53.73 (assume @p1132 (forall @t1718 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t1709 @t79)) @t79)) @t1711)) @t1727))) % 53.50/53.73 (assume @p1133 (forall @t1732 (= @t1731 (or @t1730 @t1728)))) % 53.50/53.73 (assume @p1134 (forall @t736 (=> @t1724 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 (tptp.hAPP @t1733 @t726)) (tptp.hAPP (tptp.hAPP @t1617 @t727) @t726)))))) % 53.50/53.73 (assume @p1135 (forall @t1737 (= @t1736 @t1735))) % 53.50/53.73 (assume @p1136 (forall @t832 (= (tptp.hAPP @t1738 (tptp.hAPP @t1739 @t216)) (tptp.hAPP @t1739 (tptp.hAPP @t1738 @t216))))) % 53.50/53.73 (assume @p1137 (forall @t1745 (= (tptp.hAPP (tptp.hAPP @t1617 @t1744) @t1740) (tptp.hAPP @t1743 (tptp.hAPP (tptp.hAPP @t1617 @t1741) @t1740))))) % 53.50/53.73 (assume @p1138 (forall @t1750 (= (tptp.hAPP (tptp.hAPP @t1624 @t1744) @t1474) (tptp.hAPP (tptp.hAPP @t1617 @t1749) @t1747)))) % 53.50/53.73 (assume @p1139 (forall @t1754 (= (tptp.hAPP @t1751 @t1744) (tptp.hAPP (tptp.hAPP @t1617 @t1753) @t1752)))) % 53.50/53.73 (assume @p1140 (forall @t708 (or (tptp.hBOOL (tptp.hAPP @t1756 @t152)) @t186 (tptp.hBOOL (tptp.hAPP @t1755 @t97))))) % 53.50/53.73 (assume @p1141 (forall @t1750 (= (tptp.hAPP (tptp.hAPP @t1624 @t1757) @t1474) (tptp.hAPP (tptp.hAPP @t1632 @t1749) @t1747)))) % 53.50/53.73 (assume @p1142 (forall @t1754 (= (tptp.hAPP @t1751 @t1757) (tptp.hAPP (tptp.hAPP @t1632 @t1753) @t1752)))) % 53.50/53.73 (assume @p1143 (forall @t1737 (= @t1760 @t1758))) % 53.50/53.73 (assume @p1144 (forall @t1745 (= (tptp.hAPP (tptp.hAPP @t1624 (tptp.hAPP @t1748 @t1741)) @t1740) (tptp.hAPP @t1748 (tptp.hAPP @t1746 @t1740))))) % 53.50/53.73 (assume @p1145 (forall @t1715 (= (tptp.hAPP (tptp.hAPP @t1624 @t1708) @t216) @t216))) % 53.50/53.73 (assume @p1146 (forall @t1715 (= (tptp.hAPP @t1759 @t1708) @t216))) % 53.50/53.73 (assume @p1147 (forall @t1762 (= (tptp.hBOOL (tptp.hAPP @t1726 @t881)) (and (tptp.hBOOL (tptp.hAPP @t1761 @t881)) (not (= @t79 @t881)))))) % 53.50/53.73 (assume @p1148 (forall @t1764 (tptp.hBOOL (tptp.hAPP @t1763 @t1474)))) % 53.50/53.73 (assume @p1149 (forall @t1737 (or @t1767 @t1765))) % 53.50/53.73 (assume @p1150 (forall @t736 (=> @t1769 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t727) @t726)) (tptp.hBOOL (tptp.hAPP @t1768 @t726)))))) % 53.50/53.73 (assume @p1151 (forall @t1737 (=> @t1767 (=> @t1765 (= @t216 @t1474))))) % 53.50/53.73 (assume @p1152 (forall @t1732 (= (tptp.hBOOL (tptp.hAPP @t1771 (tptp.hAPP @t1770 @t1708))) @t1730))) % 53.50/53.73 (assume @p1153 (forall (@list @t216 @t1772 @t1474 @t1773) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1773) @t1474)) (=> @t1774 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 (tptp.hAPP (tptp.hAPP @t1617 @t1773) @t1772)) @t1735)))))) % 53.50/53.73 (assume @p1154 (forall @t736 (=> @t1769 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 (tptp.hAPP @t1775 @t730)) (tptp.hAPP @t1775 @t727)))))) % 53.50/53.73 (assume @p1155 (forall @t1732 (= @t1731 @t1776))) % 53.50/53.73 (assume @p1156 (forall @t1732 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 (tptp.hAPP @t1777 @t1708)) @t79)) @t1730))) % 53.50/53.73 (assume @p1157 (forall @t1778 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1474) @t216)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 (tptp.hAPP @t1734 @t1708)) @t216))))) % 53.50/53.73 (assume @p1158 (forall @t54 (=> @t374 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t53) @t48)))) % 53.50/53.73 (assume @p1159 (forall @t73 (=> @t374 (=> @t335 (=> @t149 (= @t1779 @t1692)))))) % 53.50/53.73 (assume @p1160 (forall @t54 (=> @t374 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 @t53) @t48)))) % 53.50/53.73 (assume @p1161 (forall @t73 (=> @t374 (=> @t335 (=> @t149 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1689) @t48))))))) % 53.50/53.73 (assume @p1162 (forall @t135 (=> @t374 (=> @t335 (=> @t68 @t1780))))) % 53.50/53.73 (assume @p1163 (forall @t73 (=> @t374 (=> @t335 (=> @t149 (= @t1781 @t1689)))))) % 53.50/53.73 (assume @p1164 (forall @t135 (=> @t374 (=> @t335 (= @t1692 @t1547))))) % 53.50/53.73 (assume @p1165 (forall @t135 (=> @t374 (=> @t335 (= @t1689 @t1547))))) % 53.50/53.73 (assume @p1166 (forall @t73 (=> @t374 (=> @t335 @t1783)))) % 53.50/53.73 (assume @p1167 (forall @t116 (=> @t374 (=> @t335 (=> @t450 (=> @t114 (= (tptp.hAPP (tptp.hAPP @t1545 @t1784) @t1692) @t1692))))))) % 53.50/53.73 (assume @p1168 (forall @t116 (=> @t374 (=> @t335 (=> @t68 (=> @t413 (=> @t450 @t1787))))))) % 53.50/53.73 (assume @p1169 (forall @t1794 (=> @t374 (=> @t1793 (=> @t1792 (=> @t1791 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1790) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1788))))))))) % 53.50/53.73 (assume @p1170 (forall @t363 (=> @t374 (=> @t335 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 @t28) @t1795))))) % 53.50/53.73 (assume @p1171 (forall @t73 (=> @t374 (=> @t335 @t1796)))) % 53.50/53.73 (assume @p1172 (forall @t116 (=> @t374 (=> @t335 (=> @t450 (=> @t114 (= (tptp.hAPP (tptp.hAPP @t1545 @t1797) @t1689) @t1689))))))) % 53.50/53.73 (assume @p1173 (forall @t116 (=> @t374 (=> @t335 (=> @t68 (=> @t413 (=> @t450 @t1800))))))) % 53.50/53.73 (assume @p1174 (forall @t363 (=> @t374 (=> @t335 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t28) @t1795))))) % 53.50/53.73 (assume @p1175 (forall @t73 (=> @t374 (=> @t335 (=> @t241 @t1783))))) % 53.50/53.73 (assume @p1176 (forall @t73 (=> @t374 (=> @t335 (and (=> @t332 (= @t1782 @t48)) (=> @t333 (= @t1782 @t1691))))))) % 53.50/53.73 (assume @p1177 (forall @t116 (=> @t374 (=> @t335 (=> @t413 (=> @t592 (= (tptp.hAPP (tptp.hAPP @t1545 @t1786) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 @t488)) @t1785))))))) % 53.50/53.73 (assume @p1178 (forall @t116 (=> @t374 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (=> @t489 @t1787)))))))) % 53.50/53.73 (assume @p1179 (forall @t73 (=> @t374 (=> @t335 (=> @t241 (= @t1782 @t1693)))))) % 53.50/53.73 (assume @p1180 (forall @t73 (=> @t374 (=> @t335 (=> @t241 @t1796))))) % 53.50/53.73 (assume @p1181 (forall @t73 (=> @t374 (=> @t335 (and (=> @t332 (= @t1694 @t48)) (=> @t333 (= @t1694 @t1688))))))) % 53.50/53.73 (assume @p1182 (forall @t116 (=> @t374 (=> @t335 (=> @t413 (=> @t592 (= (tptp.hAPP (tptp.hAPP @t1545 @t1799) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t488)) @t1798))))))) % 53.50/53.73 (assume @p1183 (forall @t116 (=> @t374 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (=> @t489 @t1800)))))))) % 53.50/53.73 (assume @p1184 (forall @t1807 (=> @t1806 (=> @t1805 (=> (tptp.hBOOL (tptp.hAPP @t1802 @t197)) (tptp.hBOOL (tptp.hAPP @t1717 @t1801))))))) % 53.50/53.73 (assume @p1185 (forall @t1807 (=> @t1806 (=> @t1805 (=> @t1809 (tptp.hBOOL (tptp.hAPP @t1808 @t1708))))))) % 53.50/53.73 (assume @p1186 (forall @t1818 (=> @t1817 (=> @t1815 (=> @t1812 (tptp.hBOOL (tptp.hAPP @t1713 @t1810))))))) % 53.50/53.73 (assume @p1187 (forall @t1818 (=> @t1821 (=> @t1820 (=> @t1812 (tptp.hBOOL (tptp.hAPP @t1819 @t1711))))))) % 53.50/53.73 (assume @p1188 (forall @t1827 (=> @t1826 (=> @t1820 (=> (tptp.hBOOL (tptp.hAPP @t1814 @t200)) (=> @t1823 @t1822)))))) % 53.50/53.73 (assume @p1189 (forall @t1831 (=> @t1830 (=> @t1817 (=> @t1815 (=> @t1809 (=> @t1812 (=> @t1829 @t1828)))))))) % 53.50/53.73 (assume @p1190 (forall @t1827 (=> @t1826 (=> @t1834 (=> @t1833 (=> (tptp.hBOOL (tptp.hAPP @t1832 @t1813)) @t1828)))))) % 53.50/53.73 (assume @p1191 (forall @t1835 (= (tptp.hAPP @t1698 @t726) @t726))) % 53.50/53.73 (assume @p1192 (not (= @t1711 @t1708))) % 53.50/53.73 (assume @p1193 (forall @t1831 (=> @t1830 (=> @t1821 (=> @t1823 (=> @t1820 (=> @t1812 (=> @t1829 @t1822)))))))) % 53.50/53.73 (assume @p1194 (forall @t708 (=> @t1838 (=> @t1837 (tptp.hBOOL (tptp.hAPP @t1713 @t1836)))))) % 53.50/53.73 (assume @p1195 (tptp.hBOOL (tptp.hAPP @t1713 @t1708))) % 53.50/53.73 (assume @p1196 (forall @t708 (=> @t1838 (=> @t1837 (tptp.hBOOL (tptp.hAPP @t1713 @t1839)))))) % 53.50/53.73 (assume @p1197 (forall @t135 (=> @t374 (=> @t335 (=> @t68 (=> @t1841 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1692) @t25)))))))) % 53.50/53.73 (assume @p1198 (forall @t135 (=> @t374 (=> @t335 (=> @t68 (=> @t1841 @t1780)))))) % 53.50/53.73 (assume @p1199 (tptp.hBOOL (tptp.hAPP @t1713 @t1711))) % 53.50/53.73 (assume @p1200 (forall @t1847 (=> @t1621 (and (=> @t1845 @t1846) (=> (not @t1845) @t1844))))) % 53.50/53.73 (assume @p1201 (forall @t1852 (=> @t1851 (= (= @t1850 @t1849) @t702)))) % 53.50/53.73 (assume @p1202 (= @t1711 @t1854)) % 53.50/53.73 (assume @p1203 (forall @t1715 (tptp.hBOOL (tptp.hAPP @t1713 @t1855)))) % 53.50/53.73 (assume @p1204 (forall @t1858 (= (exists @t7 (and @t1857 @t180)) (exists @t7 @t1856)))) % 53.50/53.73 (assume @p1205 (forall @t1858 (= (forall @t7 (=> @t1857 @t180)) (forall @t7 @t1856)))) % 53.50/53.73 (assume @p1206 (forall @t1862 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1861) @t1860)) @t1859))) % 53.50/53.73 (assume @p1207 (forall @t1862 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1861) @t1860)) @t1863))) % 53.50/53.73 (assume @p1208 (forall @t708 (= (tptp.hAPP (tptp.hAPP @t1617 @t1865) @t1864) (tptp.hAPP @t1853 (tptp.hAPP @t829 @t152))))) % 53.50/53.73 (assume @p1209 (forall @t708 (= (tptp.hAPP (tptp.hAPP @t1624 @t1865) @t1864) (tptp.hAPP @t1853 @t1866)))) % 53.50/53.73 (assume @p1210 (= @t1708 @t1867)) % 53.50/53.73 (assume @p1211 (= @t1854 @t1711)) % 53.50/53.73 (assume @p1212 (forall @t1209 (= (= @t1868 @t1711) @t1207))) % 53.50/53.73 (assume @p1213 (forall @t661 (tptp.hBOOL (tptp.hAPP @t1713 @t1869)))) % 53.50/53.73 (assume @p1214 (forall @t1835 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1870) @t1711))))) % 53.50/53.73 (assume @p1215 (forall @t701 (= (tptp.hBOOL (tptp.hAPP @t1872 @t1868)) @t675))) % 53.50/53.73 (assume @p1216 (forall @t701 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1871) @t1868)) @t699))) % 53.50/53.73 (assume @p1217 (forall (@list @t216 @t658 @t662) (= (tptp.hAPP @t1875 (tptp.hAPP (tptp.hAPP @t1617 @t1869) @t216)) (tptp.hAPP (tptp.hAPP @t1617 @t1873) @t216)))) % 53.50/53.73 (assume @p1218 (forall @t668 (= (tptp.hAPP @t1875 @t1869) @t1873))) % 53.50/53.73 (assume @p1219 (forall @t1732 (= @t1776 (exists @t1878 (= @t79 (tptp.hAPP @t1777 @t1877)))))) % 53.50/53.73 (assume @p1220 (forall @t965 (=> @t791 (tptp.hBOOL (tptp.hAPP @t1136 @t1879))))) % 53.50/53.73 (assume @p1221 (forall @t1881 (=> @t791 (tptp.hBOOL (tptp.hAPP @t1136 @t1880))))) % 53.50/53.73 (assume @p1222 (forall @t965 (=> @t791 (not (tptp.hBOOL (tptp.hAPP @t1882 @t1135)))))) % 53.50/53.73 (assume @p1223 (forall @t668 (= @t1884 @t1883))) % 53.50/53.73 (assume @p1224 (forall @t668 (= @t1883 @t1884))) % 53.50/53.73 (assume @p1225 (forall @t1198 (=> @t1885 (= (tptp.hAPP @t1842 @t1157) @t1135)))) % 53.50/53.73 (assume @p1226 (forall @t792 (=> @t791 (=> @t1886 @t667)))) % 53.50/53.73 (assume @p1227 (forall @t792 (=> @t791 (=> @t667 @t1886)))) % 53.50/53.73 (assume @p1228 (forall @t1852 (=> @t1887 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t1850) @t1849)) @t675)))) % 53.50/53.73 (assume @p1229 (= @t1867 @t1708)) % 53.50/53.73 (assume @p1230 (forall @t1852 (=> @t1887 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1850) @t1849)) @t699)))) % 53.50/53.73 (assume @p1231 (forall @t792 (=> @t1885 (= (tptp.hAPP @t1842 @t818) (tptp.hAPP (tptp.hAPP @t834 @t1879) @t1880))))) % 53.50/53.73 (assume @p1232 (forall @t792 (=> @t1885 (= (tptp.hAPP @t1842 @t816) (tptp.hAPP (tptp.hAPP @t473 @t1879) @t1880))))) % 53.50/53.73 (assume @p1233 (forall @t1198 (=> @t1885 (= (tptp.hAPP @t1842 @t638) @t645)))) % 53.50/53.73 (assume @p1234 (forall @t1889 (=> @t1451 (tptp.hBOOL (tptp.hAPP @t1888 @t1409))))) % 53.50/53.73 (assume @p1235 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP @t1890 @t1711)) @t1207))) % 53.50/53.73 (assume @p1236 (= (tptp.hAPP @t1853 @t1322) @t1708)) % 53.50/53.73 (assume @p1237 (forall @t1732 (= @t1730 (exists @t1878 (= @t79 (tptp.hAPP @t1777 @t1891)))))) % 53.50/53.73 (assume @p1238 (forall @t725 (= (tptp.hAPP @t1853 @t663) (tptp.hAPP @t1709 @t1874)))) % 53.50/53.73 (assume @p1239 (forall @t690 (=> @t689 (= (tptp.hAPP (tptp.hAPP @t1632 @t1874) @t1869) (tptp.hAPP @t1853 @t685))))) % 53.50/53.73 (assume @p1240 (forall @t965 (=> @t1885 (= (tptp.hAPP @t1842 @t663) (tptp.hAPP @t962 @t1879))))) % 53.50/53.73 (assume @p1241 (forall (@list @t662 @t658 @t98) (=> @t1892 (=> @t689 (= (tptp.hAPP @t1842 @t685) (tptp.hAPP (tptp.hAPP @t913 @t1879) @t1880)))))) % 53.50/53.73 (assume @p1242 (forall @t1209 (= (tptp.hBOOL (tptp.hAPP @t1712 @t1868)) @t1206))) % 53.50/53.73 (assume @p1243 (forall @t736 (=> @t1724 (=> @t1340 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 (tptp.hAPP @t1893 @t730)) (tptp.hAPP @t1893 @t727))))))) % 53.50/53.73 (assume @p1244 (forall @t1889 (=> @t1887 (= (tptp.hBOOL (tptp.hAPP @t1273 @t1849)) @t1206)))) % 53.50/53.73 (assume @p1245 (forall (@list @t57 @t48 @t178) (= (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t1853 @t1897))) (and (=> (tptp.hBOOL (tptp.hAPP @t1895 @t48)) (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t1632 @t1861) @t1860)))) (=> @t1859 @t1894))))) % 53.50/53.73 (assume @p1246 (forall (@list @t1898 @t2 @t25 @t8 @t49) (=> (and @t1406 (tptp.class_Rings_Osemiring__1 @t49)) (=> (forall @t1419 (=> (tptp.hBOOL (tptp.hAPP @t1900 @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t141 @t1899) @t1898)))) (tptp.hBOOL (tptp.hAPP @t1389 (tptp.hAPP (tptp.hAPP @t803 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t49) @t504)) @t1898))))))) % 53.50/53.73 (assume @p1247 (forall @t1907 (and @t1906 (=> (not @t1903) (= @t1901 @t1711))))) % 53.50/53.73 (assume @p1248 (forall @t1847 (=> @t1621 (and (=> @t1908 @t1844) (=> @t1909 @t1846))))) % 53.50/53.73 (assume @p1249 (forall @t1917 (and (=> @t1915 (= @t1914 @t1157)) (=> @t1916 (= @t1914 (tptp.hAPP (tptp.hAPP @t704 @t1911) @t726)))))) % 53.50/53.73 (assume @p1250 (forall @t1919 (and (=> @t1915 (= @t1918 @t1157)) (=> @t1916 (= @t1918 @t1911))))) % 53.50/53.73 (assume @p1251 (forall @t1532 (=> @t374 (=> @t335 (=> @t1531 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 (tptp.hAPP @t1920 @t32)) (tptp.hAPP (tptp.hAPP @t1662 @t32) @t25)))))))) % 53.50/53.73 (assume @p1252 (forall @t701 (= (= @t1871 @t1868) @t702))) % 53.50/53.73 (assume @p1253 (forall @t1862 (= (= @t1861 @t1860) @t165))) % 53.50/53.73 (assume @p1254 (forall @t661 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1869))))) % 53.50/53.73 (assume @p1255 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1921)))) % 53.50/53.73 (assume @p1256 (= tptp.c_Int_OPls @t1711)) % 53.50/53.73 (assume @p1257 (tptp.hBOOL (tptp.hAPP @t1922 tptp.c_Int_OPls))) % 53.50/53.73 (assume @p1258 (not (tptp.hBOOL (tptp.hAPP @t1923 tptp.c_Int_OPls)))) % 53.50/53.73 (assume @p1259 (forall @t1835 (= (tptp.hAPP @t1775 tptp.c_Int_OPls) @t726))) % 53.50/53.73 (assume @p1260 (forall @t1835 (= (tptp.hAPP @t1924 @t726) @t726))) % 53.50/53.73 (assume @p1261 (forall @t1764 (= (tptp.hAPP (tptp.hAPP @t1624 tptp.c_Int_OPls) @t1474) tptp.c_Int_OPls))) % 53.50/53.73 (assume @p1262 (forall @t1835 (= (tptp.hAPP @t1925 tptp.c_Int_OPls) @t726))) % 53.50/53.73 (assume @p1263 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1711)))) % 53.50/53.73 (assume @p1264 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1708)))) % 53.50/53.73 (assume @p1265 (forall @t1198 (=> @t1621 (= @t1135 @t1926)))) % 53.50/53.73 (assume @p1266 (forall @t1198 (=> @t1621 (= @t1926 @t1135)))) % 53.50/53.73 (assume @p1267 (forall @t292 (=> @t1621 (= (tptp.hAPP (tptp.hAPP @t834 @t1926) @t197) @t197)))) % 53.50/53.73 (assume @p1268 (forall @t292 (=> @t1621 (= (tptp.hAPP @t840 @t1926) @t197)))) % 53.50/53.73 (assume @p1269 (tptp.hBOOL (tptp.hAPP @t1713 @t1921))) % 53.50/53.73 (assume @p1270 (not (tptp.hBOOL (tptp.hAPP @t1923 @t1711)))) % 53.50/53.73 (assume @p1271 (= @t1927 @t1157)) % 53.50/53.73 (assume @p1272 (= @t1157 @t1927)) % 53.50/53.73 (assume @p1273 (= @t1711 @t1921)) % 53.50/53.73 (assume @p1274 (forall @t1929 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t48))) @t1928))) % 53.50/53.73 (assume @p1275 (forall (@list @t1930) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1930)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1930) @t1711))))) % 53.50/53.73 (assume @p1276 (forall @t708 (= (tptp.c_Nat__Transfer_Otsub @t1865 @t1864) (tptp.hAPP @t1853 (tptp.hAPP (tptp.hAPP @t541 @t97) @t152))))) % 53.50/53.73 (assume @p1277 (forall @t103 (=> @t1931 (= (tptp.hAPP @t1467 @t1926) @t1135)))) % 53.50/53.73 (assume @p1278 (forall @t1936 (= @t1935 @t1933))) % 53.50/53.73 (assume @p1279 (forall @t1936 (= (= @t1157 @t1934) @t1933))) % 53.50/53.73 (assume @p1280 (forall @t1941 (= (tptp.hBOOL (tptp.hAPP @t1940 @t1939)) (and (=> @t1938 (tptp.hBOOL (tptp.hAPP @t1923 @t1937))) @t1938)))) % 53.50/53.73 (assume @p1281 (forall @t1941 (= (tptp.hBOOL (tptp.hAPP @t1942 @t1939)) (=> (not (tptp.hBOOL (tptp.hAPP @t1932 @t1937))) @t1933)))) % 53.50/53.73 (assume @p1282 (forall @t1536 (=> @t1908 @t1943))) % 53.50/53.73 (assume @p1283 (forall @t1536 (and (=> @t1908 (= @t1944 @t1711)) (=> @t1909 (= @t1944 @t1703))))) % 53.50/53.73 (assume @p1284 (forall @t54 (=> @t1603 (= (tptp.hBOOL (tptp.hAPP @t1602 @t1160)) (tptp.hBOOL (tptp.hAPP @t1600 tptp.c_Int_OPls)))))) % 53.50/53.73 (assume @p1285 (forall @t1945 (=> @t1603 (= (tptp.hBOOL (tptp.hAPP @t1236 @t1580)) (tptp.hBOOL (tptp.hAPP @t1922 @t57)))))) % 53.50/53.73 (assume @p1286 (forall @t1945 (=> @t1603 (= (tptp.hBOOL (tptp.hAPP @t1273 @t1580)) (tptp.hBOOL (tptp.hAPP @t1923 @t57)))))) % 53.50/53.73 (assume @p1287 (forall @t54 (=> @t1603 (= (tptp.hBOOL (tptp.hAPP @t1607 @t1160)) (tptp.hBOOL (tptp.hAPP @t1605 tptp.c_Int_OPls)))))) % 53.50/53.73 (assume @p1288 (forall @t1936 (= (tptp.hBOOL (tptp.hAPP @t1159 @t1934)) (tptp.hBOOL (tptp.hAPP @t1923 @t1088))))) % 53.50/53.73 (assume @p1289 (forall @t1919 (and (=> @t1915 (= @t1948 @t1912)) (=> @t1916 (and (=> @t1949 (= @t1948 @t1534)) (=> (not @t1949) (= @t1948 @t1946))))))) % 53.50/53.73 (assume @p1290 (forall @t1941 (= (= @t1934 @t1939) (and (=> @t1953 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1950) @t1711))) (=> (not @t1953) (and (=> @t1951 (= @t1952 @t1711)) (=> (not @t1951) (= @t1088 @t1937)))))))) % 53.50/53.73 (assume @p1291 (forall @t1917 (and (=> @t1908 (= @t1955 @t1954)) (=> @t1909 (and (=> @t1957 (= @t1955 (tptp.hAPP @t1947 @t726))) (=> @t1958 (= @t1955 (tptp.hAPP (tptp.hAPP @t796 @t1946) @t726)))))))) % 53.50/53.73 (assume @p1292 (forall @t708 (=> @t1838 (=> @t1837 (tptp.hBOOL (tptp.hAPP @t1713 @t1901)))))) % 53.50/53.73 (assume @p1293 (forall @t1907 @t1906)) % 53.50/53.73 (assume @p1294 (forall @t1961 (and (=> @t1908 (= @t1960 @t992)) (=> @t1909 (= @t1960 (tptp.hAPP (tptp.hAPP @t796 @t1959) @t658)))))) % 53.50/53.73 (assume @p1295 (forall @t1536 (and (=> @t1908 (= @t1962 @t638)) (=> @t1909 (= @t1962 @t1959))))) % 53.50/53.73 (assume @p1296 (forall @t1536 (and (=> @t1915 (= @t1963 @t638)) (=> @t1916 (= @t1963 @t1959))))) % 53.50/53.73 (assume @p1297 (forall @t1536 (and (=> @t1915 (= @t1964 @t638)) (=> @t1916 (= @t1964 @t1959))))) % 53.50/53.73 (assume @p1298 (forall @t1536 (and (=> @t1966 (= @t1535 @t1157)) (=> (not @t1966) (= @t1535 @t1965))))) % 53.50/53.73 (assume @p1299 (forall @t1649 (=> @t1583 (=> (tptp.hBOOL (tptp.hAPP @t1922 @t881)) (tptp.hBOOL (tptp.hAPP @t1648 @t1967)))))) % 53.50/53.73 (assume @p1300 (forall (@list @t662 @t1132) (=> (tptp.hBOOL (tptp.hAPP @t1923 @t1132)) (= (tptp.hAPP @t686 @t1534) (tptp.hAPP @t669 @t1965))))) % 53.50/53.73 (assume @p1301 (forall @t1968 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t97)) @t97))) % 53.50/53.73 (assume @p1302 (forall @t1701 (= @t1697 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 (tptp.c_Int_Opred @t676)) @t1695))))) % 53.50/53.73 (assume @p1303 (forall @t1835 (= @t1969 (tptp.hAPP @t1925 @t1708)))) % 53.50/53.73 (assume @p1304 (forall @t1835 (= @t1970 (tptp.hAPP @t1775 @t1708)))) % 53.50/53.73 (assume @p1305 (forall @t96 (=> @t1971 (tptp.hBOOL (tptp.hAPP @t1450 @t1967))))) % 53.50/53.73 (assume @p1306 (forall @t46 (=> @t1971 (=> @t1973 (=> @t1972 (tptp.hBOOL (tptp.hAPP @t1452 @t1967))))))) % 53.50/53.73 (assume @p1307 (forall @t46 (=> @t1971 (=> @t1973 (=> @t1972 (tptp.hBOOL (tptp.hAPP @t1454 @t1967))))))) % 53.50/53.73 (assume @p1308 (forall @t96 (=> @t1971 (tptp.hBOOL (tptp.hAPP @t1455 @t1967))))) % 53.50/53.73 (assume @p1309 (forall @t1889 (=> @t1971 (tptp.hBOOL (tptp.hAPP @t1888 @t1967))))) % 53.50/53.73 (assume @p1310 (forall @t1975 (=> @t1621 (= (tptp.hAPP @t1612 @t1970) (tptp.hAPP @t962 @t1974))))) % 53.50/53.73 (assume @p1311 (forall @t1936 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1976)) @t1935))) % 53.50/53.73 (assume @p1312 (forall @t1984 (=> @t1983 (=> (forall @t7 (=> @t180 (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t1979 @t35))))) (=> @t1981 (forall @t7 (=> @t180 (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t1979 @t1978)))))))))) % 53.50/53.73 (assume @p1313 (forall @t1984 (=> @t1983 (=> (forall @t7 (=> @t180 (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t1985 @t35))))) (=> @t1981 (forall @t7 (=> @t180 (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t1985 @t1978)))))))))) % 53.50/53.73 (assume @p1314 (forall @t1835 (=> @t1722 (exists @t1878 (and @t1986 (= @t726 @t1877)))))) % 53.50/53.73 (assume @p1315 (forall (@list @t97 @t216 @t284) (=> @t1989 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t216) (tptp.hAPP @t1738 @t1988)))))) % 53.50/53.73 (assume @p1316 (forall (@list @t216 @t97 @t284) (=> @t1989 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 (tptp.hAPP @t1904 @t1988)) @t216))))) % 53.50/53.73 (assume @p1317 (forall @t73 (=> @t374 (=> @t335 (=> (forall @t1089 (=> @t1991 (tptp.hBOOL (tptp.hAPP @t163 @t429)))) (=> @t149 @t1690)))))) % 53.50/53.73 (assume @p1318 (forall @t690 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t1927) @t658)) (= @t687 (tptp.hAPP @t669 (tptp.hAPP @t785 @t1993)))))) % 53.50/53.73 (assume @p1319 (forall @t292 (=> @t1996 (= (tptp.hAPP @t1994 @t1995) @t1995)))) % 53.50/53.73 (assume @p1320 (forall @t1701 (= (= @t1999 @t1998) @t1997))) % 53.50/53.73 (assume @p1321 (forall @t292 (=> @t1996 (tptp.hBOOL (tptp.hAPP @t198 @t1995))))) % 53.50/53.73 (assume @p1322 (forall @t295 (=> @t1996 (=> @t2000 @t213)))) % 53.50/53.73 (assume @p1323 (forall @t14 (=> @t2003 (= (= @t2002 @t1160) @t1176)))) % 53.50/53.73 (assume @p1324 (forall @t1198 (=> @t1996 (= (tptp.hAPP @t1994 @t1135) @t1135)))) % 53.50/53.73 (assume @p1325 (forall @t295 (=> @t1996 (= (tptp.hAPP @t1994 @t2005) @t2005)))) % 53.50/53.73 (assume @p1326 (forall @t292 (=> @t998 (= (tptp.hAPP @t2006 @t1995) @t481)))) % 53.50/53.73 (assume @p1327 (forall @t295 (=> @t998 @t2008))) % 53.50/53.73 (assume @p1328 (forall @t295 (=> @t1996 (= @t2012 @t2011)))) % 53.50/53.73 (assume @p1329 (forall @t1198 (=> @t998 (= (tptp.hAPP @t1994 @t645) @t645)))) % 53.50/53.73 (assume @p1330 (forall @t1881 (=> @t998 (= (tptp.hAPP @t1994 @t1880) @t1880)))) % 53.50/53.73 (assume @p1331 (forall @t295 (=> @t1476 @t2013))) % 53.50/53.73 (assume @p1332 (forall @t725 (= (tptp.hAPP @t1987 @t1874) @t1874))) % 53.50/53.73 (assume @p1333 (forall @t2020 (= (tptp.hBOOL (tptp.hAPP @t2019 @t2017)) @t2016))) % 53.50/53.73 (assume @p1334 (forall @t1701 (= (tptp.hBOOL (tptp.hAPP @t2021 @t1998)) @t1697))) % 53.50/53.73 (assume @p1335 (forall @t1701 (= (tptp.hBOOL (tptp.hAPP @t2022 @t1998)) @t1706))) % 53.50/53.73 (assume @p1336 (forall @t2020 (= (tptp.hBOOL (tptp.hAPP @t2024 @t2017)) @t2023))) % 53.50/53.73 (assume @p1337 (forall @t1835 (not (= @t2025 tptp.c_Int_OPls)))) % 53.50/53.73 (assume @p1338 (forall @t2027 (not (= tptp.c_Int_OPls @t2026)))) % 53.50/53.73 (assume @p1339 (forall @t292 (=> @t1996 (=> @t1240 @t2028)))) % 53.50/53.73 (assume @p1340 (forall @t14 (=> @t2003 (= (tptp.hBOOL (tptp.hAPP @t2029 @t1160)) @t1176)))) % 53.50/53.73 (assume @p1341 (forall @t292 (=> @t1996 (tptp.hBOOL (tptp.hAPP @t1136 @t1995))))) % 53.50/53.73 (assume @p1342 (forall @t292 (=> @t1996 (not (tptp.hBOOL (tptp.hAPP @t2030 @t1135)))))) % 53.50/53.73 (assume @p1343 (forall @t14 (=> @t2003 (= (tptp.hBOOL (tptp.hAPP @t1273 @t2002)) @t2031)))) % 53.50/53.73 (assume @p1344 (forall @t292 (=> @t1996 (=> @t1281 @t2028)))) % 53.50/53.73 (assume @p1345 (forall @t295 (=> @t1996 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t1994 @t842)) @t2005))))) % 53.50/53.73 (assume @p1346 (forall @t286 (=> @t998 (=> (tptp.hBOOL (tptp.hAPP @t2030 @t196)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t2004) @t284)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t2007) (tptp.hAPP @t1259 @t284)))))))) % 53.50/53.73 (assume @p1347 (forall @t295 (=> @t1996 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t1994 @t2032)) @t2012))))) % 53.50/53.73 (assume @p1348 (forall @t295 (=> @t1996 (tptp.hBOOL (tptp.hAPP @t2033 @t2012))))) % 53.50/53.73 (assume @p1349 (forall @t295 (=> @t1996 (tptp.hBOOL (tptp.hAPP @t2033 @t2011))))) % 53.50/53.73 (assume @p1350 (forall @t388 (=> @t1473 (=> @t1188 @t2013)))) % 53.50/53.73 (assume @p1351 (forall @t2036 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t2035) @t1711)) @t2034))) % 53.50/53.73 (assume @p1352 (forall @t668 (=> (= (tptp.hAPP @t1987 @t2037) @t1708) (= (tptp.hAPP @t1987 @t662) @t1708)))) % 53.50/53.73 (assume @p1353 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t1922 @t1999)) @t2038))) % 53.50/53.73 (assume @p1354 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2022 tptp.c_Int_OPls)) @t2040))) % 53.50/53.73 (assume @p1355 (forall @t1835 (= @t2025 (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t1709 @t726)) @t726)))) % 53.50/53.73 (assume @p1356 (forall @t2036 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1698 @t2035))) @t2042))) % 53.50/53.73 (assume @p1357 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t1992)) % 53.50/53.73 (assume @p1358 (forall @t157 (=> @t998 (=> @t1360 (= (tptp.hAPP (tptp.hAPP @t473 (tptp.hAPP @t1994 @t152)) @t97) (tptp.hAPP @t1994 @t1357)))))) % 53.50/53.73 (assume @p1359 (forall @t295 (=> (tptp.class_Rings_Oordered__ring__abs @t98) (=> (and (or @t1240 @t1250) (or @t1239 @t1249)) @t2008)))) % 53.50/53.73 (assume @p1360 (forall @t295 (=> @t1996 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2012) @t2005))))) % 53.50/53.73 (assume @p1361 (forall @t863 (=> @t1996 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t1994 (tptp.hAPP @t917 @t858))) (tptp.hAPP (tptp.hAPP @t834 (tptp.hAPP @t1994 (tptp.hAPP @t914 @t196))) (tptp.hAPP @t1994 (tptp.hAPP @t2009 @t284)))))))) % 53.50/53.73 (assume @p1362 (forall @t220 (=> @t1476 (=> @t1472 (= (tptp.hAPP (tptp.hAPP @t1427 @t2043) @t152) (tptp.hAPP @t1994 @t1468)))))) % 53.50/53.73 (assume @p1363 (forall @t2046 (=> @t1621 (= @t2045 (tptp.hAPP (tptp.hAPP @t834 @t2044) @t1613))))) % 53.50/53.73 (assume @p1364 (forall @t1718 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 (tptp.hAPP @t1987 @t79)) @t1708)) @t2047))) % 53.50/53.73 (assume @p1365 (forall @t292 (=> @t1621 (= (tptp.hAPP (tptp.hAPP @t473 @t2048) @t197) @t197)))) % 53.50/53.73 (assume @p1366 (forall @t292 (=> @t1621 (= (tptp.hAPP @t476 @t2048) @t197)))) % 53.50/53.73 (assume @p1367 (forall @t1198 (=> @t1621 (= @t645 @t2048)))) % 53.50/53.73 (assume @p1368 (forall @t1198 (=> @t1621 (= @t2048 @t645)))) % 53.50/53.73 (assume @p1369 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t1923 @t1999)) @t2038))) % 53.50/53.73 (assume @p1370 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2021 tptp.c_Int_OPls)) @t2040))) % 53.50/53.73 (assume @p1371 (forall @t292 (=> @t2049 (= (tptp.hAPP @t1429 @t2048) @t197)))) % 53.50/53.73 (assume @p1372 (forall @t103 (=> @t2049 (= (tptp.hAPP @t1467 @t2048) @t97)))) % 53.50/53.73 (assume @p1373 (= @t1708 (tptp.hAPP @t1698 @t1992))) % 53.50/53.73 (assume @p1374 (= @t638 @t1993)) % 53.50/53.73 (assume @p1375 (= @t1993 @t638)) % 53.50/53.73 (assume @p1376 (= @t1993 @t1322)) % 53.50/53.73 (assume @p1377 (= @t2052 (tptp.hAPP tptp.c_Nat_OSuc @t2050))) % 53.50/53.73 (assume @p1378 (tptp.hBOOL (tptp.hAPP @t1713 @t2053))) % 53.50/53.73 (assume @p1379 (forall @t661 (= @t2057 @t2055))) % 53.50/53.73 (assume @p1380 (= @t2053 (tptp.hAPP @t1853 @t2052))) % 53.50/53.73 (assume @p1381 (forall @t1945 (=> @t1603 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t641) @t1580)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1992) @t57)))))) % 53.50/53.73 (assume @p1382 (forall @t54 (=> @t1603 (= (tptp.hBOOL (tptp.hAPP @t1602 @t641)) (tptp.hBOOL (tptp.hAPP @t1600 @t1992)))))) % 53.50/53.73 (assume @p1383 (forall @t1945 (=> @t1603 (= (tptp.hBOOL (tptp.hAPP @t2058 @t1580)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1992) @t57)))))) % 53.50/53.73 (assume @p1384 (forall @t54 (=> @t1603 (= (tptp.hBOOL (tptp.hAPP @t1607 @t641)) (tptp.hBOOL (tptp.hAPP @t1605 @t1992)))))) % 53.50/53.73 (assume @p1385 (forall @t1847 (=> @t1621 (= (tptp.hAPP @t1615 @t645) (tptp.hAPP @t1612 (tptp.hAPP @t1618 @t1992)))))) % 53.50/53.73 (assume @p1386 (forall @t2046 (=> @t1621 (= @t2044 (tptp.hAPP @t1612 (tptp.hAPP @t2059 @t1474)))))) % 53.50/53.73 (assume @p1387 (= @t2061 (tptp.hAPP @t2060 @t1992))) % 53.50/53.73 (assume @p1388 (forall @t1847 (=> @t1621 (= (tptp.hAPP @t1630 @t645) (tptp.hAPP @t1612 (tptp.hAPP @t1618 @t2063)))))) % 53.50/53.73 (assume @p1389 (forall @t2046 (=> @t1621 (= (tptp.hAPP (tptp.hAPP @t913 @t645) @t1613) (tptp.hAPP @t1612 (tptp.hAPP @t2059 @t2064)))))) % 53.50/53.73 (assume @p1390 (forall @t661 (=> (tptp.hBOOL (tptp.hAPP @t660 @t2066)) (or @t1204 (= @t658 @t1322))))) % 53.50/53.73 (assume @p1391 (forall @t2068 (=> (and @t1462 @t1583) (= (tptp.hBOOL (tptp.hAPP @t1273 (tptp.hAPP (tptp.hAPP @t1437 @t2067) (tptp.hAPP @t1570 @t2065)))) (tptp.hBOOL (tptp.hAPP @t1273 @t2067)))))) % 53.50/53.73 (assume @p1392 (forall (@list @t1309 @t98) (=> (and @t1476 @t1621) (=> (tptp.hBOOL (tptp.hAPP @t1277 @t1309)) (tptp.hBOOL (tptp.hAPP @t1277 (tptp.hAPP (tptp.hAPP @t1427 @t1309) @t2069))))))) % 53.50/53.73 (assume @p1393 (forall @t690 (tptp.hBOOL (tptp.hAPP @t2071 @t1874)))) % 53.50/53.73 (assume @p1394 (forall @t690 (tptp.hBOOL (tptp.hAPP @t2073 @t1874)))) % 53.50/53.73 (assume @p1395 (forall @t2046 (=> @t1621 (= @t2076 @t2075)))) % 53.50/53.73 (assume @p1396 (forall @t2046 (=> @t1621 (= @t2075 @t2076)))) % 53.50/53.73 (assume @p1397 (= (tptp.hAPP (tptp.hAPP @t2078 @t2077) @t2061) @t2077)) % 53.50/53.73 (assume @p1398 (forall @t1715 (= (tptp.hAPP @t2062 @t2079) @t216))) % 53.50/53.73 (assume @p1399 (forall @t1835 (= (tptp.hAPP @t2062 @t2081) (tptp.c_Int_OBit0 @t2080)))) % 53.50/53.73 (assume @p1400 (forall @t1701 (= (= @t2083 @t2082) @t1997))) % 53.50/53.73 (assume @p1401 (forall @t103 (=> @t2085 (= (tptp.hAPP @t2074 @t2084) @t97)))) % 53.50/53.73 (assume @p1402 (forall @t2087 (=> (tptp.class_Groups_Ouminus @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t50) @t25) @t48) (tptp.hAPP @t2086 @t61))))) % 53.50/53.73 (assume @p1403 (forall @t167 (=> @t2090 (= (= @t2089 @t2088) @t165)))) % 53.50/53.73 (assume @p1404 (forall @t292 (=> @t916 (= (tptp.hAPP @t2074 @t2091) @t197)))) % 53.50/53.73 (assume @p1405 (forall @t46 (=> @t1196 (= @t2094 (= @t33 @t2092))))) % 53.50/53.73 (assume @p1406 (forall @t46 (=> @t1196 (= (= @t2092 @t33) (= @t2093 @t13))))) % 53.50/53.73 (assume @p1407 (forall @t46 (=> @t1196 (= (= @t2092 @t2093) @t44)))) % 53.50/53.73 (assume @p1408 (forall @t2095 (=> @t1621 (= (tptp.hAPP (tptp.hAPP @t473 @t2075) @t216) (tptp.hAPP (tptp.hAPP @t473 @t2076) @t216))))) % 53.50/53.73 (assume @p1409 (forall @t295 (=> @t1611 (=> @t213 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2096) @t2091)))))) % 53.50/53.73 (assume @p1410 (forall @t78 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t2097 @t2092)) @t325)))) % 53.50/53.73 (assume @p1411 (forall @t46 (=> @t328 (= @t2099 (tptp.hBOOL (tptp.hAPP @t2097 @t13)))))) % 53.50/53.73 (assume @p1412 (forall @t46 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t324 @t2093)) (tptp.hBOOL (tptp.hAPP @t1267 @t2092)))))) % 53.50/53.73 (assume @p1413 (forall @t157 (=> @t2085 (=> @t155 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2100) @t2084)))))) % 53.50/53.73 (assume @p1414 (forall @t167 (=> @t2090 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t2089) @t2088)) @t162)))) % 53.50/53.73 (assume @p1415 (forall @t1198 (=> @t916 (= (tptp.hAPP @t2074 @t1135) @t1135)))) % 53.50/53.73 (assume @p1416 (forall @t14 (=> @t1196 (= (= @t1160 @t2092) (= @t1160 @t13))))) % 53.50/53.73 (assume @p1417 (forall @t14 (=> @t1183 (= (= @t13 @t2092) @t1176)))) % 53.50/53.73 (assume @p1418 (forall @t14 (=> @t1196 (= (= @t2092 @t1160) @t1176)))) % 53.50/53.73 (assume @p1419 (forall @t14 (=> @t1183 (= (= @t2092 @t13) @t1176)))) % 53.50/53.73 (assume @p1420 (forall @t78 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t2101 @t2092)) @t404)))) % 53.50/53.73 (assume @p1421 (forall @t46 (=> @t328 (= @t2103 (tptp.hBOOL (tptp.hAPP @t2101 @t13)))))) % 53.50/53.73 (assume @p1422 (forall @t46 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t403 @t2093)) (tptp.hBOOL (tptp.hAPP @t1288 @t2092)))))) % 53.50/53.73 (assume @p1423 (forall @t295 (=> @t2106 (= @t2105 (tptp.hAPP @t2104 @t2096))))) % 53.50/53.73 (assume @p1424 (forall @t295 (=> @t916 (= @t2105 (tptp.hAPP (tptp.hAPP @t834 @t2096) @t2091))))) % 53.50/53.73 (assume @p1425 (forall @t295 (=> @t916 (= (tptp.hAPP @t840 (tptp.hAPP @t2104 @t200)) @t200)))) % 53.50/53.73 (assume @p1426 (forall @t295 (=> @t916 (= (tptp.hAPP @t2104 @t842) @t200)))) % 53.50/53.73 (assume @p1427 (forall @t46 (=> @t2107 (= (= (tptp.hAPP @t870 @t13) (tptp.hAPP @t868 @t33)) (or @t44 @t2094))))) % 53.50/53.73 (assume @p1428 (forall @t295 (=> @t2109 (= (tptp.hAPP @t2108 @t2096) @t477)))) % 53.50/53.73 (assume @p1429 (forall @t295 (=> @t2109 (= @t2111 @t2110)))) % 53.50/53.73 (assume @p1430 (forall @t295 (=> @t2109 (= @t2112 @t2111)))) % 53.50/53.73 (assume @p1431 (forall @t295 (=> @t2109 (= @t2112 @t2110)))) % 53.50/53.73 (assume @p1432 (forall @t295 (=> @t2106 (= (tptp.hAPP @t2074 @t915) @t2010)))) % 53.50/53.73 (assume @p1433 (forall @t1701 (= (tptp.hBOOL (tptp.hAPP @t2113 @t2082)) @t1697))) % 53.50/53.73 (assume @p1434 (forall @t2020 (= (tptp.hBOOL (tptp.hAPP @t2116 @t2114)) @t2016))) % 53.50/53.73 (assume @p1435 (forall @t2020 (= (tptp.hBOOL (tptp.hAPP @t2117 @t2114)) @t2023))) % 53.50/53.73 (assume @p1436 (forall @t1701 (= (tptp.hBOOL (tptp.hAPP @t2118 @t2082)) @t1706))) % 53.50/53.73 (assume @p1437 (= (tptp.hAPP @t2062 @t1711) @t1711)) % 53.50/53.73 (assume @p1438 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 53.50/53.73 (assume @p1439 (forall @t2119 (= (= tptp.c_Int_OPls @t2082) (= tptp.c_Int_OPls @t1695)))) % 53.50/53.73 (assume @p1440 (forall @t2039 (= (= @t2083 tptp.c_Int_OPls) (= @t676 tptp.c_Int_OPls)))) % 53.50/53.73 (assume @p1441 (forall @t2120 (not (= @t2081 @t2026)))) % 53.50/53.73 (assume @p1442 (forall @t2120 (not (= @t2025 @t2121)))) % 53.50/53.73 (assume @p1443 (forall @t1835 (= @t2081 (tptp.hAPP @t1775 @t726)))) % 53.50/53.73 (assume @p1444 (forall @t2120 (= (tptp.hAPP @t2123 @t2121) (tptp.c_Int_OBit0 @t2122)))) % 53.50/53.73 (assume @p1445 (forall @t295 (=> @t1428 (= @t2125 (tptp.hAPP @t2124 @t200))))) % 53.50/53.73 (assume @p1446 (forall @t295 (=> @t1475 @t2126))) % 53.50/53.73 (assume @p1447 (forall @t295 (=> @t1475 @t2127))) % 53.50/53.73 (assume @p1448 (forall @t2120 (= (tptp.hAPP (tptp.hAPP @t1624 @t2081) @t740) @t2128))) % 53.50/53.73 (assume @p1449 (forall @t292 (=> @t1996 (= (tptp.hAPP @t1994 @t2091) @t1995)))) % 53.50/53.73 (assume @p1450 (= @t2129 tptp.c_Int_OPls)) % 53.50/53.73 (assume @p1451 (forall @t1737 (= (tptp.hAPP @t2062 @t1736) (tptp.hAPP @t2130 @t2064)))) % 53.50/53.73 (assume @p1452 (forall @t1764 (= @t2131 (tptp.hAPP @t1698 @t2064)))) % 53.50/53.73 (assume @p1453 (forall @t2120 (= (tptp.hAPP @t2134 @t2121) @t2133))) % 53.50/53.73 (assume @p1454 (forall @t1737 (= (tptp.hAPP (tptp.hAPP @t1624 @t2079) @t1474) (tptp.hAPP @t2062 @t1760)))) % 53.50/53.73 (assume @p1455 (forall @t14 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t1236 @t2092)) @t1238)))) % 53.50/53.73 (assume @p1456 (forall @t14 (=> @t1183 (= (tptp.hBOOL (tptp.hAPP @t324 @t2092)) @t1238)))) % 53.50/53.73 (assume @p1457 (forall @t14 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t2098 @t1160)) @t1237)))) % 53.50/53.73 (assume @p1458 (forall @t14 (=> @t1183 (= (tptp.hBOOL (tptp.hAPP @t2098 @t13)) @t1237)))) % 53.50/53.73 (assume @p1459 (forall @t14 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP @t403 @t2092)) @t1275)))) % 53.50/53.73 (assume @p1460 (forall @t14 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t1273 @t2092)) @t1275)))) % 53.50/53.73 (assume @p1461 (forall @t14 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t2102 @t1160)) @t1274)))) % 53.50/53.73 (assume @p1462 (forall @t14 (=> @t1183 (= (tptp.hBOOL (tptp.hAPP @t2102 @t13)) @t1274)))) % 53.50/53.73 (assume @p1463 (forall @t292 (=> @t916 (= (tptp.hAPP @t840 @t2091) @t1135)))) % 53.50/53.73 (assume @p1464 (forall @t46 (=> @t1196 (= @t2094 (= @t852 @t1160))))) % 53.50/53.73 (assume @p1465 (forall @t292 (=> @t916 @t2135))) % 53.50/53.73 (assume @p1466 (forall @t292 (=> @t2106 @t2135))) % 53.50/53.73 (assume @p1467 (forall @t295 (=> @t916 (=> (= @t842 @t1135) (= @t2091 @t200))))) % 53.50/53.73 (assume @p1468 (forall @t292 (=> @t916 (= (tptp.hAPP (tptp.hAPP @t913 @t1135) @t197) @t2091)))) % 53.50/53.73 (assume @p1469 (forall @t157 (=> @t2137 (= @t2136 (tptp.hAPP @t1518 @t2100))))) % 53.50/53.73 (assume @p1470 (forall @t295 (=> @t916 (= (tptp.hAPP @t914 @t2096) @t842)))) % 53.50/53.73 (assume @p1471 (forall @t295 (=> @t2106 @t2138))) % 53.50/53.73 (assume @p1472 (forall @t295 (=> @t916 @t2138))) % 53.50/53.73 (assume @p1473 (forall @t103 (=> @t2137 (= @t2084 (tptp.hAPP (tptp.hAPP @t473 @t2139) @t97))))) % 53.50/53.73 (assume @p1474 (forall @t54 (=> @t2141 (= (= @t1311 @t641) (or @t642 (= @t48 @t2140)))))) % 53.50/53.73 (assume @p1475 (forall @t103 (=> @t2085 (= (tptp.hAPP @t2142 @t97) @t248)))) % 53.50/53.73 (assume @p1476 (forall @t103 (=> @t2085 (= (tptp.hAPP @t513 @t2084) @t248)))) % 53.50/53.73 (assume @p1477 (forall @t157 (=> @t2085 (= @t2136 (tptp.hAPP @t513 @t2100))))) % 53.50/53.73 (assume @p1478 (forall @t157 (=> @t2085 (= (tptp.hAPP @t2074 @t290) (tptp.hAPP @t2142 @t2100))))) % 53.50/53.73 (assume @p1479 (forall @t157 (=> @t2085 (= (tptp.hAPP @t2074 @t519) (tptp.hAPP @t2143 @t2100))))) % 53.50/53.73 (assume @p1480 (forall @t388 (=> @t1428 (=> @t1188 @t2126)))) % 53.50/53.73 (assume @p1481 (forall @t388 (=> @t1428 (=> @t1188 @t2127)))) % 53.50/53.73 (assume @p1482 (forall @t295 (=> @t1996 (=> @t2000 @t2145)))) % 53.50/53.73 (assume @p1483 (forall @t295 (=> @t1996 (=> @t213 (=> @t2145 @t2000))))) % 53.50/53.73 (assume @p1484 (forall @t46 (=> @t2003 (= (tptp.hBOOL (tptp.hAPP @t2029 @t33)) (and @t325 @t2099))))) % 53.50/53.73 (assume @p1485 (forall @t292 (=> @t1996 (tptp.hBOOL (tptp.hAPP @t2144 @t1995))))) % 53.50/53.73 (assume @p1486 (forall @t46 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t2002) @t33)) (and @t404 @t2103))))) % 53.50/53.73 (assume @p1487 (forall @t2036 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t2146) @t1711)) @t2034))) % 53.50/53.73 (assume @p1488 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2113 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t1696 tptp.c_Int_OPls))))) % 53.50/53.73 (assume @p1489 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t1922 @t2083)) @t2038))) % 53.50/53.73 (assume @p1490 (forall @t2020 (= (tptp.hBOOL (tptp.hAPP @t2116 @t2017)) @t2016))) % 53.50/53.73 (assume @p1491 (forall @t1701 (= (tptp.hBOOL (tptp.hAPP @t2113 @t1998)) @t1697))) % 53.50/53.73 (assume @p1492 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t1923 @t2083)) (tptp.hBOOL (tptp.hAPP @t1923 @t676))))) % 53.50/53.73 (assume @p1493 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2118 tptp.c_Int_OPls)) @t2040))) % 53.50/53.73 (assume @p1494 (forall @t1701 (= (tptp.hBOOL (tptp.hAPP @t2022 @t2082)) @t1706))) % 53.50/53.73 (assume @p1495 (forall @t2020 (= (tptp.hBOOL (tptp.hAPP @t2024 @t2114)) @t2023))) % 53.50/53.73 (assume @p1496 (forall @t2120 (= (tptp.hAPP @t2148 @t2121) @t2147))) % 53.50/53.73 (assume @p1497 (forall @t2120 (= (tptp.hAPP @t2123 @t2026) @t2147))) % 53.50/53.73 (assume @p1498 (forall @t1715 (= (tptp.hAPP @t2130 @t216) @t1711))) % 53.50/53.73 (assume @p1499 (forall @t697 (= (= (tptp.hAPP @t2062 @t1868) @t1871) @t2149))) % 53.50/53.73 (assume @p1500 (forall @t2027 (= (tptp.hAPP @t2150 @t2121) (tptp.c_Int_OBit0 (tptp.hAPP @t2150 @t740))))) % 53.50/53.73 (assume @p1501 (forall @t2120 (= (tptp.hAPP @t2151 @t2121) (tptp.c_Int_OBit1 @t2132)))) % 53.50/53.73 (assume @p1502 (forall @t2120 (= (tptp.hAPP @t2151 @t2026) @t2133))) % 53.50/53.73 (assume @p1503 (forall @t690 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1869) (tptp.hAPP @t2062 @t1874)))))) % 53.50/53.73 (assume @p1504 (forall @t1737 (= @t2154 @t2153))) % 53.50/53.73 (assume @p1505 (forall @t1737 (= @t2153 @t2154))) % 53.50/53.73 (assume @p1506 (forall @t14 (=> @t1451 (=> @t1410 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t2092) @t1409)))))) % 53.50/53.73 (assume @p1507 (forall @t2036 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1698 @t2146))) @t2042))) % 53.50/53.73 (assume @p1508 (forall @t1835 (= (tptp.c_Int_Opred @t2081) (tptp.c_Int_OBit1 @t1969)))) % 53.50/53.73 (assume @p1509 (forall @t1835 (= (tptp.c_Int_Opred @t2025) @t2081))) % 53.50/53.73 (assume @p1510 (forall @t1835 (= (tptp.hAPP @t2062 @t2025) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t2080))))) % 53.50/53.73 (assume @p1511 (forall @t1835 (= (tptp.c_Int_Osucc @t2025) (tptp.c_Int_OBit0 @t1970)))) % 53.50/53.73 (assume @p1512 (forall @t1835 (= (tptp.c_Int_Osucc @t2081) @t2025))) % 53.50/53.73 (assume @p1513 (forall @t2046 (=> @t1621 (= @t2156 (tptp.hAPP (tptp.hAPP @t834 (tptp.hAPP @t1178 @t1613)) @t1613))))) % 53.50/53.73 (assume @p1514 (forall @t292 (=> @t1996 (=> @t1250 @t2157)))) % 53.50/53.73 (assume @p1515 (forall @t292 (=> @t1996 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t2074 @t1995)) @t1135))))) % 53.50/53.73 (assume @p1516 (forall @t292 (=> @t1996 @t2158))) % 53.50/53.73 (assume @p1517 (forall @t292 (=> (tptp.class_Groups_Oabs__if @t98) (and @t2158 (=> (not @t1285) @t2028))))) % 53.50/53.73 (assume @p1518 (forall @t2020 (= (tptp.hBOOL (tptp.hAPP @t2019 @t2114)) @t2023))) % 53.50/53.73 (assume @p1519 (forall @t1701 (= (tptp.hBOOL (tptp.hAPP @t2021 @t2082)) @t1706))) % 53.50/53.73 (assume @p1520 (forall @t2020 (= (tptp.hBOOL (tptp.hAPP @t2117 @t2017)) @t2016))) % 53.50/53.73 (assume @p1521 (forall @t1701 (= (tptp.hBOOL (tptp.hAPP @t2118 @t1998)) @t1697))) % 53.50/53.73 (assume @p1522 (forall @t1622 (=> @t1621 (= @t1631 @t2160)))) % 53.50/53.73 (assume @p1523 (forall @t2120 (= (tptp.hAPP (tptp.hAPP @t1624 @t2025) @t740) (tptp.hAPP (tptp.hAPP @t1617 @t2128) @t740)))) % 53.50/53.73 (assume @p1524 (forall @t697 (= (tptp.hBOOL (tptp.hAPP @t1890 (tptp.hAPP @t2062 @t1871))) @t2149))) % 53.50/53.73 (assume @p1525 (forall @t661 (tptp.hBOOL (tptp.hAPP @t2071 @t1711)))) % 53.50/53.73 (assume @p1526 (forall @t1704 (= (tptp.hAPP (tptp.hAPP @t1632 @t1703) @t1702) (tptp.hAPP @t1698 @t2159)))) % 53.50/53.73 (assume @p1527 (forall @t2163 (and (=> @t2162 (= @t2161 (tptp.hAPP @t2062 @t730))) (=> (not @t2162) (= @t2161 @t730))))) % 53.50/53.73 (assume @p1528 (forall @t661 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2072)))) % 53.50/53.73 (assume @p1529 (forall @t2120 (= (tptp.hAPP @t2134 @t2026) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t1632 @t1969) @t740))))) % 53.50/53.73 (assume @p1530 (forall @t2120 (= (tptp.hAPP @t2148 @t2026) (tptp.c_Int_OBit0 (tptp.hAPP @t1775 (tptp.c_Int_Osucc @t740)))))) % 53.50/53.73 (assume @p1531 (= @t2077 (tptp.hAPP @t2060 tptp.c_Int_OPls))) % 53.50/53.73 (assume @p1532 (forall @t2046 (=> @t1621 (= (tptp.hAPP @t964 @t1613) @t2156)))) % 53.50/53.73 (assume @p1533 (forall @t103 (=> @t2167 (and (=> @t2166 (= @t2165 (tptp.hAPP @t2074 @t2164))) (=> (not @t2166) (= @t2165 @t2164)))))) % 53.50/53.73 (assume @p1534 (forall (@list @t1474 @t196 @t1132 @t98) (=> @t1621 (= (tptp.hAPP @t1615 (tptp.hAPP (tptp.hAPP @t913 @t196) @t1613)) (tptp.hAPP (tptp.hAPP @t834 @t2160) @t196))))) % 53.50/53.73 (assume @p1535 (forall @t661 (=> (tptp.hBOOL (tptp.hAPP @t1713 @t2168)) (and (tptp.hBOOL (tptp.hAPP @t1713 (tptp.hAPP @t1698 (tptp.c_Int_OBit0 @t658)))) (tptp.hBOOL (tptp.hAPP @t1713 (tptp.hAPP @t1698 (tptp.c_Int_OBit1 @t658)))))))) % 53.50/53.73 (assume @p1536 (forall @t2046 (=> @t1621 (= (tptp.hAPP @t1612 (tptp.c_Int_Opred @t1474)) (tptp.hAPP (tptp.hAPP @t834 @t2139) @t1613))))) % 53.50/53.73 (assume @p1537 (forall @t661 (not (tptp.hBOOL (tptp.hAPP @t1713 @t2072))))) % 53.50/53.73 (assume @p1538 (forall @t661 (tptp.hBOOL (tptp.hAPP @t2073 @t1711)))) % 53.50/53.73 (assume @p1539 (forall @t2171 (=> @t1621 (= (tptp.hAPP @t2170 @t216) @t2169)))) % 53.50/53.73 (assume @p1540 (forall @t2171 (=> @t1621 (= (tptp.hAPP @t1470 @t2069) @t2169)))) % 53.50/53.73 (assume @p1541 (forall @t1198 (=> @t1621 (= @t963 @t2069)))) % 53.50/53.73 (assume @p1542 (= @t2066 @t2050)) % 53.50/53.73 (assume @p1543 (= @t2050 @t2066)) % 53.50/53.73 (assume @p1544 (tptp.hBOOL (tptp.hAPP @t1713 @t2172))) % 53.50/53.73 (assume @p1545 (forall @t661 (= (tptp.hAPP (tptp.hAPP @t796 @t2066) @t658) @t2056))) % 53.50/53.73 (assume @p1546 (forall @t661 (= (tptp.hAPP @t827 @t2066) @t2056))) % 53.50/53.73 (assume @p1547 (forall @t1715 (= (tptp.hAPP @t2174 @t216) @t2173))) % 53.50/53.73 (assume @p1548 (forall @t1715 (= (tptp.hAPP (tptp.hAPP @t704 @t216) @t2066) @t2173))) % 53.50/53.73 (assume @p1549 (= @t2172 (tptp.hAPP @t1853 @t2066))) % 53.50/53.73 (assume @p1550 (= (tptp.hAPP @t797 @t638) @t2066)) % 53.50/53.73 (assume @p1551 (forall @t54 (=> @t1583 (= (= @t1581 @t641) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1570 (tptp.hAPP @t2175 @t2063))))))) % 53.50/53.73 (assume @p1552 (forall @t1945 (=> @t1583 (= (= @t641 @t1580) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1570 (tptp.hAPP @t2059 @t2176))))))) % 53.50/53.73 (assume @p1553 (forall @t2185 (=> @t2184 (= @t2182 (tptp.hAPP (tptp.hAPP @t1632 (tptp.hAPP @t2178 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2177 @t197))) @t1708))))) % 53.50/53.73 (assume @p1554 (forall @t2193 (and (=> @t2190 (= @t2189 (tptp.hAPP (tptp.hAPP @t1617 @t2192) @t1708))) (=> @t2191 (= @t2189 (tptp.hAPP (tptp.hAPP @t1632 (tptp.hAPP @t2178 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2186 @t1702))) @t1708)))))) % 53.50/53.73 (assume @p1555 (forall @t2185 (=> @t2194 (= @t2182 (tptp.hAPP @t1709 (tptp.hAPP @t2178 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t200 @t197))))))) % 53.50/53.73 (assume @p1556 (forall @t2185 (=> @t2184 (= @t2196 (tptp.hAPP (tptp.hAPP @t2195 @t2177) @t197))))) % 53.50/53.73 (assume @p1557 (forall @t2200 (=> @t108 @t2199))) % 53.50/53.73 (assume @p1558 (forall @t2185 (= (tptp.hAPP (tptp.hAPP @t2195 @t2201) @t200) @t1711))) % 53.50/53.73 (assume @p1559 (forall @t295 (=> @t2204 (= (tptp.hAPP (tptp.hAPP @t2203 @t2202) @t200) @t1135)))) % 53.50/53.73 (assume @p1560 (forall @t2206 (and (= (tptp.hAPP @t2205 @t1711) @t1711) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t197 @t1711) @t197)))) % 53.50/53.73 (assume @p1561 (forall @t295 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t2202 @t200) @t2202)))) % 53.50/53.73 (assume @p1562 (forall @t671 (= (tptp.hAPP (tptp.hAPP @t2195 @t2211) @t196) (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t2205 @t196)) @t2209)) (tptp.hAPP (tptp.hAPP @t2195 (tptp.hAPP (tptp.hAPP @t1617 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t197 @t196)) @t2207)) @t196))))) % 53.50/53.73 (assume @p1563 (forall @t205 (=> @t2204 (= (tptp.hAPP (tptp.hAPP @t834 @t2215) @t196) @t841)))) % 53.50/53.73 (assume @p1564 (forall @t215 (=> @t2204 (= (tptp.hAPP (tptp.hAPP @t834 @t2216) @t196) @t841)))) % 53.50/53.73 (assume @p1565 (forall @t295 (=> @t2204 (= @t2215 @t197)))) % 53.50/53.73 (assume @p1566 (forall @t388 (=> @t2204 (= @t2216 @t197)))) % 53.50/53.73 (assume @p1567 (forall @t295 (=> @t2204 (= (tptp.hAPP (tptp.hAPP @t834 @t2202) @t2214) @t197)))) % 53.50/53.73 (assume @p1568 (forall @t2185 (= @t197 @t2218))) % 53.50/53.73 (assume @p1569 (forall @t671 (= (tptp.hAPP (tptp.hAPP @t2195 @t2220) @t196) (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t1803 @t2209)) (tptp.hAPP (tptp.hAPP @t2195 @t2219) @t196))))) % 53.50/53.73 (assume @p1570 (forall (@list @t726 @t197 @t200) (= (tptp.hAPP (tptp.hAPP @t1617 @t2218) @t726) @t2221))) % 53.50/53.73 (assume @p1571 (forall (@list @t726 @t200 @t197) (= (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP (tptp.hAPP @t1624 @t2217) @t200)) @t2201)) @t726) @t2221))) % 53.50/53.73 (assume @p1572 (forall @t668 (= @t2224 (tptp.hAPP @t2223 (tptp.hAPP (tptp.hAPP @t1624 @t2222) @t658))))) % 53.50/53.73 (assume @p1573 (forall @t690 (= (tptp.hAPP (tptp.hAPP @t1624 @t658) @t2222) (tptp.hAPP @t2223 @t2224)))) % 53.50/53.73 (assume @p1574 (forall @t292 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t1135 @t197) @t1135)))) % 53.50/53.73 (assume @p1575 (forall @t292 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t197 @t1135) @t197)))) % 53.50/53.73 (assume @p1576 (forall @t292 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t197 @t197) @t1135)))) % 53.50/53.73 (assume @p1577 (forall @t2231 (=> @t2204 (=> @t2230 (=> @t2228 (= @t2226 (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP (tptp.hAPP @t834 @t2225) @t1811) @t196))))))) % 53.50/53.73 (assume @p1578 (forall @t900 (=> @t2204 (= @t2233 @t2226)))) % 53.50/53.73 (assume @p1579 (forall @t205 (=> @t2204 (= @t2234 @t2226)))) % 53.50/53.73 (assume @p1580 (forall @t205 (=> @t2204 (= @t2226 (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP @t2232 @t2227) @t196))))) % 53.50/53.73 (assume @p1581 (forall @t205 (=> @t2204 (= @t2226 @t2233)))) % 53.50/53.73 (assume @p1582 (forall @t205 (=> @t2204 (= @t2226 @t2234)))) % 53.50/53.73 (assume @p1583 (forall @t388 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t838 @t200) @t2202)))) % 53.50/53.73 (assume @p1584 (forall @t295 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t842 @t200) @t2202)))) % 53.50/53.73 (assume @p1585 (forall @t2231 (=> @t2204 (=> @t2230 (=> @t2228 (= @t2235 (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP (tptp.hAPP @t473 @t2225) @t1811) @t196))))))) % 53.50/53.73 (assume @p1586 (forall @t900 (=> @t2204 (= @t2237 @t2235)))) % 53.50/53.73 (assume @p1587 (forall @t900 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t874 @t475) (tptp.hAPP (tptp.hAPP @t473 @t2202) @t196))))) % 53.50/53.73 (assume @p1588 (forall @t901 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t1261 @t1260) (tptp.hAPP @t1259 @t2202))))) % 53.50/53.73 (assume @p1589 (forall @t205 (=> @t2204 (= @t2235 (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP @t2236 @t2227) @t196))))) % 53.50/53.73 (assume @p1590 (forall @t205 (=> @t2204 (= @t2235 @t2237)))) % 53.50/53.73 (assume @p1591 (forall @t205 (=> @t2204 (= @t2235 (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP @t476 @t2227) @t196))))) % 53.50/53.73 (assume @p1592 (forall @t205 (=> @t2239 (= @t2238 (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP @t914 @t2227) @t196))))) % 53.50/53.73 (assume @p1593 (forall @t205 (=> @t2239 (= @t2238 (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP @t2240 @t200) @t196))))) % 53.50/53.73 (assume @p1594 (forall @t205 (=> @t2239 (= @t2238 (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP @t2240 @t2227) @t196))))) % 53.50/53.73 (assume @p1595 (forall @t2231 (=> @t2239 (=> @t2230 (=> @t2228 (= @t2238 (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP (tptp.hAPP @t913 @t2225) @t1811) @t196))))))) % 53.50/53.73 (assume @p1596 (forall (@list @t2225 @t200 @t197 @t98) (=> @t2239 (=> (= @t2202 (tptp.c_Divides_Odiv__class_Omod @t98 @t2225 @t200)) (= @t2241 (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP @t2074 @t2225) @t200)))))) % 53.50/53.73 (assume @p1597 (forall @t295 (=> @t2239 (= @t2241 (tptp.c_Divides_Odiv__class_Omod @t98 (tptp.hAPP @t2074 @t2202) @t200))))) % 53.50/53.73 (assume @p1598 (forall @t2200 (=> @t2199 @t108))) % 53.50/53.73 (assume @p1599 (forall @t2200 (= @t2199 @t108))) % 53.50/53.73 (assume @p1600 (forall @t2242 (= (tptp.hAPP (tptp.hAPP @t2195 @t1711) @t200) @t1711))) % 53.50/53.73 (assume @p1601 (forall @t2242 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1711 @t200) @t1711))) % 53.50/53.73 (assume @p1602 (forall @t2206 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t197 @t197) @t1711))) % 53.50/53.73 (assume @p1603 (forall @t116 (=> @t115 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t2243) @t2198))))) % 53.50/53.73 (assume @p1604 (forall @t116 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t2198) @t2243)) @t114))) % 53.50/53.73 (assume @p1605 (forall @t2185 (= (tptp.hAPP @t2246 @t2244) @t2217))) % 53.50/53.73 (assume @p1606 (forall @t2185 (= @t2248 @t2247))) % 53.50/53.73 (assume @p1607 (forall @t671 (= @t2250 @t2249))) % 53.50/53.73 (assume @p1608 (forall @t671 (= @t2249 @t2250))) % 53.50/53.73 (assume @p1609 (forall (@list @t662 @t152 @t97) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t1904 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t152 @t662)) @t662) @t2251))) % 53.50/53.73 (assume @p1610 (forall @t2253 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t1632 @t2252) @t152) @t662) @t2251))) % 53.50/53.73 (assume @p1611 (forall (@list @t662 @t97) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2062 @t2252) @t662) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2062 @t97) @t662)))) % 53.50/53.73 (assume @p1612 (forall @t2185 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2245 @t2244) (tptp.hAPP @t2062 @t2201)))) % 53.50/53.73 (assume @p1613 (forall @t2185 (= @t2255 (tptp.hAPP @t2062 @t2254)))) % 53.50/53.73 (assume @p1614 (forall @t292 (=> @t2204 (= (tptp.hAPP (tptp.hAPP @t2203 @t1135) @t197) @t1135)))) % 53.50/53.73 (assume @p1615 (forall @t292 (=> @t2204 (= (tptp.hAPP @t2212 @t1135) @t1135)))) % 53.50/53.73 (assume @p1616 (forall @t292 (=> @t2204 (= (tptp.hAPP @t2212 @t645) @t197)))) % 53.50/53.73 (assume @p1617 (forall @t295 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t477 @t200) @t1135)))) % 53.50/53.73 (assume @p1618 (forall @t388 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t999 @t200) @t1135)))) % 53.50/53.73 (assume @p1619 (forall @t2258 (=> @t2257 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t197 @t2256) (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t1824 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2217 @t196))) @t2201))))) % 53.50/53.73 (assume @p1620 (forall @t900 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t2259 @t200) @t2202)))) % 53.50/53.73 (assume @p1621 (forall @t205 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t2260 @t200) @t2202)))) % 53.50/53.73 (assume @p1622 (forall @t292 (=> @t2204 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t197 @t645) @t1135)))) % 53.50/53.73 (assume @p1623 (forall @t2266 (=> @t2265 (and (=> @t2263 (= @t2247 @t2261)) (=> @t2264 (= @t2247 @t2262)))))) % 53.50/53.73 (assume @p1624 (forall @t2266 (=> @t2265 (and (=> @t2263 (= @t2248 @t2261)) (=> @t2264 (= @t2248 @t2262)))))) % 53.50/53.73 (assume @p1625 (forall @t1198 (=> @t1885 (tptp.c_Int_Oiszero @t98 @t1135)))) % 53.50/53.73 (assume @p1626 (forall @t2267 (=> @t1971 (= (tptp.c_Int_Oiszero @t8 @t79) @t1489)))) % 53.50/53.73 (assume @p1627 (forall @t708 (=> @t1838 (=> @t1837 (tptp.hBOOL (tptp.hAPP @t1713 @t2269)))))) % 53.50/53.73 (assume @p1628 (forall @t1198 (=> @t1885 (not (tptp.c_Int_Oiszero @t98 @t645))))) % 53.50/53.73 (assume @p1629 (forall @t2276 (=> @t2275 (= @t2273 (tptp.hBOOL (tptp.hAPP @t2270 @t1711)))))) % 53.50/53.73 (assume @p1630 (forall @t2276 (=> @t2278 (= @t2273 (tptp.hBOOL (tptp.hAPP @t1712 @t13)))))) % 53.50/53.73 (assume @p1631 (forall @t2185 (=> @t2281 (=> @t2279 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t2217) @t1711)))))) % 53.50/53.73 (assume @p1632 (forall @t2206 (=> @t2283 (= (tptp.hAPP @t2205 @t197) @t1708)))) % 53.50/53.73 (assume @p1633 (forall @t135 (= (tptp.hBOOL (tptp.hAPP @t72 @t2198)) @t67))) % 53.50/53.73 (assume @p1634 (forall @t708 (=> @t1838 (=> @t1837 (tptp.hBOOL (tptp.hAPP @t1713 @t2284)))))) % 53.50/53.73 (assume @p1635 (forall @t2285 (=> (tptp.hBOOL (tptp.hAPP @t1713 @t662)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t662 @t726)) @t662))))) % 53.50/53.73 (assume @p1636 (forall @t2266 (=> @t2279 @t2286))) % 53.50/53.73 (assume @p1637 (forall @t2266 (=> @t2288 @t2287))) % 53.50/53.73 (assume @p1638 (forall @t135 (= (tptp.hAPP @t487 @t2198) @t30))) % 53.50/53.73 (assume @p1639 (forall @t135 (= (tptp.hAPP @t2289 @t25) @t30))) % 53.50/53.73 (assume @p1640 (forall @t1704 (= (tptp.hAPP (tptp.hAPP @t2195 @t2292) @t2187) @t2291))) % 53.50/53.73 (assume @p1641 (forall @t2295 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t673 @t35) @t1711) (exists @t2294 (= @t673 (tptp.hAPP (tptp.hAPP @t1624 @t35) @t2293)))))) % 53.50/53.73 (assume @p1642 (forall @t116 (= (tptp.hAPP @t2197 @t131) (tptp.hAPP @t2289 @t2243)))) % 53.50/53.73 (assume @p1643 (forall @t116 (= (tptp.hAPP @t2197 @t488) (tptp.hAPP @t2296 @t2243)))) % 53.50/53.73 (assume @p1644 (forall @t2120 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2080 @t740) @t1711)) @t2298))) % 53.50/53.73 (assume @p1645 (forall @t2120 (=> (not (= @t2300 @t1711)) @t2298))) % 53.50/53.73 (assume @p1646 (forall @t116 (= (tptp.hAPP @t2197 @t92) (tptp.hAPP @t2296 @t88)))) % 53.50/53.73 (assume @p1647 (forall @t116 (= (tptp.hAPP @t85 @t2243) @t488))) % 53.50/53.73 (assume @p1648 (forall @t116 (= @t92 (tptp.hAPP @t487 @t2243)))) % 53.50/53.73 (assume @p1649 (forall @t901 (=> @t2204 (and (=> @t1434 (= @t2301 @t1135)) @t2302)))) % 53.50/53.73 (assume @p1650 (forall @t388 (=> @t2204 (=> @t1188 (= (tptp.hAPP @t2303 @t200) @t197))))) % 53.50/53.73 (assume @p1651 (forall @t388 (=> @t2204 (=> @t1188 (= (tptp.hAPP (tptp.hAPP @t2203 @t999) @t200) @t197))))) % 53.50/53.73 (assume @p1652 (forall @t901 (=> @t2204 (=> @t1435 (= (tptp.hAPP (tptp.hAPP @t2203 @t874) @t475) @t2213))))) % 53.50/53.73 (assume @p1653 (forall @t901 (=> @t2204 @t2302))) % 53.50/53.73 (assume @p1654 (forall @t292 (=> @t2204 (=> @t1189 (= (tptp.hAPP @t2212 @t197) @t645))))) % 53.50/53.73 (assume @p1655 (forall @t2313 (=> @t2312 (= @t2310 (forall @t2307 (=> @t2306 @t2304)))))) % 53.50/53.73 (assume @p1656 (forall @t2313 (=> @t2315 (= @t2310 (forall @t2307 (=> @t2314 @t2304)))))) % 53.50/53.73 (assume @p1657 (forall @t2318 (=> @t2317 (=> @t2288 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t2316) @t2217)))))) % 53.50/53.73 (assume @p1658 (forall @t2318 (=> @t2317 (=> @t2279 (tptp.hBOOL (tptp.hAPP @t2319 @t2316)))))) % 53.50/53.73 (assume @p1659 (forall @t2185 (=> @t2184 (=> @t2321 @t2320)))) % 53.50/53.73 (assume @p1660 (forall @t2323 (=> @t2281 (=> @t1812 (=> @t1829 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t2322) @t2217))))))) % 53.50/53.73 (assume @p1661 (forall @t2185 (=> @t2184 (=> @t2279 @t2324)))) % 53.50/53.73 (assume @p1662 (forall @t2276 (=> @t2278 (= @t2325 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t13) @t1711)))))) % 53.50/53.73 (assume @p1663 (forall @t2185 (=> @t2194 (=> @t2326 @t2320)))) % 53.50/53.73 (assume @p1664 (forall @t2185 (=> @t2194 (=> @t2288 @t2324)))) % 53.50/53.73 (assume @p1665 (forall @t2323 (=> @t2194 (=> @t1812 (=> @t1829 (tptp.hBOOL (tptp.hAPP @t2319 @t2322))))))) % 53.50/53.73 (assume @p1666 (forall @t2329 (=> @t2328 (= (tptp.hBOOL (tptp.hAPP @t1712 @t2272)) (and (tptp.hBOOL (tptp.hAPP @t2327 @t13)) @t2275))))) % 53.50/53.73 (assume @p1667 (forall (@list @t972 @t676) (=> @t2315 (= (tptp.hBOOL (tptp.hAPP @t1712 @t2330)) (tptp.hBOOL (tptp.hAPP @t1696 @t972)))))) % 53.50/53.73 (assume @p1668 (forall @t2276 (=> @t2275 (= @t2325 @t2328)))) % 53.50/53.73 (assume @p1669 (forall @t2335 (= (= @t2330 @t1711) (or @t2334 (and (tptp.hBOOL (tptp.hAPP @t1713 @t972)) (tptp.hBOOL (tptp.hAPP @t2333 @t676))) (and @t2332 (tptp.hBOOL (tptp.hAPP @t1705 @t972))))))) % 53.50/53.73 (assume @p1670 (forall (@list @t726 @t97) (=> (tptp.hBOOL (tptp.hAPP @t1712 @t97)) (=> (tptp.hBOOL (tptp.hAPP @t2336 @t726)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 (tptp.hAPP @t2268 @t726)) @t97)))))) % 53.50/53.73 (assume @p1671 (forall @t2258 (=> @t2257 (= (tptp.hAPP @t2205 @t2256) (tptp.hAPP (tptp.hAPP @t2195 @t2217) @t196))))) % 53.50/53.73 (assume @p1672 (forall @t2185 (=> @t2184 (=> @t2321 @t2337)))) % 53.50/53.73 (assume @p1673 (forall @t2266 (=> @t2288 (and @t2338 @t2287)))) % 53.50/53.73 (assume @p1674 (forall @t2266 (=> @t2288 @t2338))) % 53.50/53.73 (assume @p1675 (forall @t2185 (=> @t2194 (=> @t2326 @t2337)))) % 53.50/53.73 (assume @p1676 (forall @t2266 (=> @t2279 (and @t2339 @t2286)))) % 53.50/53.73 (assume @p1677 (forall @t2266 (=> @t2279 @t2339))) % 53.50/53.73 (assume @p1678 (forall @t116 (= @t489 (tptp.hBOOL (tptp.hAPP @t72 @t2243))))) % 53.50/53.73 (assume @p1679 (forall @t2185 (and (=> @t2263 (= @t2255 @t1711)) (=> @t2264 (= @t2255 (tptp.hAPP (tptp.hAPP @t1632 @t2201) @t200)))))) % 53.50/53.73 (assume @p1680 (forall @t2185 (and (=> @t2263 (= @t2254 @t1711)) (=> @t2264 (= @t2254 (tptp.hAPP @t2340 @t2201)))))) % 53.50/53.73 (assume @p1681 (forall @t215 (=> @t2204 (=> @t1188 (= (tptp.hAPP (tptp.hAPP @t2203 @t2259) @t200) @t2341))))) % 53.50/53.73 (assume @p1682 (forall @t215 (=> @t2204 (=> @t1188 (= (tptp.hAPP (tptp.hAPP @t2203 @t2260) @t200) @t2341))))) % 53.50/53.73 (assume @p1683 (forall @t388 (=> @t2204 (=> @t1188 (= (tptp.hAPP (tptp.hAPP @t2203 @t842) @t200) @t2342))))) % 53.50/53.73 (assume @p1684 (forall @t388 (=> @t2204 (=> @t1188 (= (tptp.hAPP (tptp.hAPP @t2203 @t838) @t200) @t2342))))) % 53.50/53.73 (assume @p1685 (forall @t1198 (=> @t1621 (tptp.c_Int_Oiszero @t98 @t1926)))) % 53.50/53.73 (assume @p1686 (forall @t2046 (=> (and @t1621 (tptp.class_Int_Oring__char__0 @t98)) (not (tptp.c_Int_Oiszero @t98 @t2045))))) % 53.50/53.73 (assume @p1687 (forall @t1649 (=> @t1584 (= (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1570 @t2146)) (tptp.c_Int_Oiszero @t8 @t1585))))) % 53.50/53.73 (assume @p1688 (forall @t2185 (=> @t1806 (=> @t2343 (= @t2201 @t2211))))) % 53.50/53.73 (assume @p1689 (forall (@list @t2347 @t152 @t2344 @t2345) (=> (= @t2345 (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t2351 @t152)) @t2347)) (=> (and (=> @t2349 (and (tptp.hBOOL (tptp.hAPP @t1713 @t2347)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t2347) @t2344)))) (=> @t2350 (and (tptp.hBOOL (tptp.hAPP @t2348 @t2347)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t2347) @t1711))))) (=> @t2346 (= (tptp.hAPP (tptp.hAPP @t2195 @t2345) @t2344) @t152)))))) % 53.50/53.73 (assume @p1690 (forall @t2352 (= (tptp.hBOOL @t2309) (and (=> @t2334 @t1894) (=> @t2315 (forall @t1419 (=> (exists @t1329 @t2314) @t1417))) (=> @t2312 (forall @t1419 (=> (exists @t1329 @t2306) @t1417))))))) % 53.50/53.73 (assume @p1691 (forall (@list @t152 @t2353 @t2344 @t2345) (=> (= @t2345 (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP @t2351 @t2353)) @t152)) (=> (and (=> @t2349 (and @t1837 (tptp.hBOOL (tptp.hAPP @t1755 @t2344)))) (=> @t2350 (and (tptp.hBOOL (tptp.hAPP @t2348 @t152)) (tptp.hBOOL (tptp.hAPP @t1902 @t1711))))) (=> @t2346 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2345 @t2344) @t152)))))) % 53.50/53.73 (assume @p1692 (forall @t2355 (=> @t2257 (=> @t1833 (=> @t1834 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t2354) @t1711))))))) % 53.50/53.73 (assume @p1693 (forall @t2355 (=> @t2257 (=> @t1833 (=> @t1834 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t2256) @t2354))))))) % 53.50/53.73 (assume @p1694 (forall @t2356 (=> @t2257 (=> @t1809 (=> @t1823 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t2354) @t2256))))))) % 53.50/53.73 (assume @p1695 (forall @t2356 (=> @t2257 (=> @t1809 (=> @t1823 (tptp.hBOOL (tptp.hAPP @t1713 @t2354))))))) % 53.50/53.73 (assume @p1696 (forall @t2352 (= (tptp.hBOOL (tptp.hAPP @t178 @t2308)) (and (=> @t2334 @t1420) (=> @t2315 (forall @t2307 (=> @t2314 @t2357))) (=> @t2312 (forall @t2307 (=> @t2306 @t2357))))))) % 53.50/53.73 (assume @p1697 (forall @t1704 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2292 @t2187) @t2192))) % 53.50/53.73 (assume @p1698 (forall @t1198 (=> @t1621 (not (tptp.c_Int_Oiszero @t98 @t2048))))) % 53.50/53.73 (assume @p1699 (forall @t167 (=> @t1583 (= @t1582 (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1570 (tptp.hAPP @t2175 @t2176))))))) % 53.50/53.73 (assume @p1700 (forall @t2193 (and (=> @t2190 (= @t2358 @t2291)) (=> @t2191 (= @t2358 (tptp.hAPP (tptp.hAPP @t2195 @t2186) @t1702)))))) % 53.50/53.73 (assume @p1701 (forall @t54 (=> @t1583 (= (= @t1581 @t1160) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1570 (tptp.hAPP @t2175 @t2129))))))) % 53.50/53.73 (assume @p1702 (forall @t1945 (=> @t1583 (= (= @t1160 @t1580) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t1570 (tptp.hAPP @t1924 @t2176))))))) % 53.50/53.73 (assume @p1703 (forall @t2185 (=> @t2194 (= @t2196 (tptp.hAPP @t2208 @t197))))) % 53.50/53.73 (assume @p1704 (forall @t788 (and (=> @t2361 (= @t2360 @t658)) (=> (not @t2361) (= @t2360 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t2359 @t2061) @t659)))))) % 53.50/53.73 (assume @p1705 (forall @t2367 (and (=> @t2364 (= @t2363 @t2366)) (=> @t2365 (= @t2363 (tptp.hAPP @t2062 (tptp.hAPP @t2362 @t2299))))))) % 53.50/53.73 (assume @p1706 (forall @t2367 (and (=> @t2364 (= @t2368 @t2297)) (=> @t2365 (= @t2368 @t2300))))) % 53.50/53.73 (assume @p1707 (forall @t103 (=> @t1885 (=> @t1838 (= (tptp.hAPP @t1842 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2178 @t97))) (tptp.hAPP (tptp.hAPP @t834 @t2370) @t2370)))))) % 53.50/53.73 (assume @p1708 (forall @t1881 (=> @t1892 (= (tptp.hAPP @t2374 @t2372) @t2139)))) % 53.50/53.73 (assume @p1709 (forall @t2377 (=> @t998 (=> @t1285 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t2376) @t1135)))))) % 53.50/53.73 (assume @p1710 (forall @t135 (= (tptp.hAPP @t2197 @t2198) @t25))) % 53.50/53.73 (assume @p1711 (forall @t116 (= (= @t2198 @t2243) @t112))) % 53.50/53.73 (assume @p1712 (forall @t2382 (=> @t1838 (= (tptp.hAPP (tptp.hAPP @t2381 @t2369) @t658) (tptp.hAPP tptp.c_Int_Onat @t2380))))) % 53.50/53.73 (assume @p1713 (forall @t671 (= (tptp.hAPP (tptp.hAPP @t2384 @t2387) @t196) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t2386 @t196)) @t2385)) (tptp.hAPP (tptp.hAPP @t2384 (tptp.hAPP (tptp.hAPP @t796 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t197 @t196)) @t2383)) @t196))))) % 53.50/53.73 (assume @p1714 (forall (@list @t658 @t216) (=> @t1714 (= (tptp.hAPP tptp.c_Int_Onat @t2389) (tptp.hAPP (tptp.hAPP @t2381 @t2388) @t658))))) % 53.50/53.73 (assume @p1715 (forall @t671 (= (tptp.hAPP (tptp.hAPP @t2384 @t2391) @t196) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t2390 @t2385)) (tptp.hAPP (tptp.hAPP @t2384 (tptp.hAPP @t2390 @t2383)) @t196))))) % 53.50/53.73 (assume @p1716 (forall @t671 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t197 @t2395) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t2394 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2393 @t196))) @t2392)))) % 53.50/53.73 (assume @p1717 (forall @t668 (= @t2399 (tptp.hAPP @t669 @t2398)))) % 53.50/53.73 (assume @p1718 (forall @t690 (= (tptp.hAPP @t749 @t2397) @t2400))) % 53.50/53.73 (assume @p1719 (forall @t668 (= @t2398 @t2400))) % 53.50/53.73 (assume @p1720 (forall @t668 (= @t2403 @t2401))) % 53.50/53.73 (assume @p1721 (forall @t668 (= @t2401 @t2403))) % 53.50/53.73 (assume @p1722 (forall @t2382 (= (tptp.hAPP (tptp.hAPP @t2378 @t1865) @t658) (tptp.hAPP @t1853 (tptp.hAPP (tptp.hAPP @t2381 @t97) @t658))))) % 53.50/53.73 (assume @p1723 (forall (@list @t1801 @t152 @t97 @t98) (=> @t801 (= (tptp.hAPP (tptp.hAPP @t2373 @t865) @t1801) (tptp.hAPP @t2407 (tptp.hAPP @t2404 @t1801)))))) % 53.50/53.73 (assume @p1724 (forall @t668 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t2397) @t662)))) % 53.50/53.73 (assume @p1725 (forall @t752 (=> @t744 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 (tptp.hAPP @t2396 @t726)) (tptp.hAPP @t2408 @t726)))))) % 53.50/53.73 (assume @p1726 (forall @t668 (= @t2410 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2409 @t658)))) % 53.50/53.73 (assume @p1727 (forall @t671 (= (tptp.hAPP @t2386 @t2395) (tptp.hAPP (tptp.hAPP @t2384 @t2393) @t196)))) % 53.50/53.73 (assume @p1728 (forall @t668 @t2411)) % 53.50/53.73 (assume @p1729 (forall @t668 (tptp.hBOOL (tptp.hAPP @t2412 @t662)))) % 53.50/53.73 (assume @p1730 (forall @t748 (= (tptp.hAPP @t737 @t2399) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t747 @t746)))) % 53.50/53.73 (assume @p1731 (forall @t752 (= (tptp.hAPP (tptp.hAPP @t704 @t2399) @t726) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t751 @t750)))) % 53.50/53.73 (assume @p1732 (forall @t661 (= (tptp.hAPP tptp.c_Int_Onat @t1869) @t658))) % 53.50/53.73 (assume @p1733 (forall @t2416 (=> @t801 (= (tptp.hAPP (tptp.hAPP @t2373 @t2415) @t1801) (tptp.hAPP @t2405 (tptp.hAPP @t2414 @t1801)))))) % 53.50/53.73 (assume @p1734 (forall @t832 (= (tptp.hAPP (tptp.hAPP @t2378 @t2417) @t216) (tptp.hAPP @t2379 (tptp.hAPP (tptp.hAPP @t704 @t152) @t216))))) % 53.50/53.73 (assume @p1735 (forall @t103 (=> @t801 (= (tptp.hAPP @t2405 @t638) @t97)))) % 53.50/53.73 (assume @p1736 (forall @t2253 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2378 @t2252) @t152) @t662) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2417 @t662)))) % 53.50/53.73 (assume @p1737 (forall @t1704 (and (=> @t1908 (= @t2421 (tptp.hAPP @t2422 @t2418))) (=> @t1909 (= @t2421 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2419 @t2418))))))) % 53.50/53.73 (assume @p1738 (forall @t1961 (and (=> @t1908 (= @t2423 (tptp.hAPP @t2422 @t658))) (=> @t1909 (= @t2423 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2419 @t658))))))) % 53.50/53.73 (assume @p1739 (forall @t708 (=> @t1838 (=> @t1837 (= @t2426 @t2424))))) % 53.50/53.73 (assume @p1740 (forall @t708 (=> @t1838 (= @t2424 @t2426)))) % 53.50/53.73 (assume @p1741 (forall @t708 (=> @t1838 (=> @t1837 (= @t2428 @t2427))))) % 53.50/53.73 (assume @p1742 (forall @t708 (=> @t1838 (=> @t1837 (= @t2427 @t2428))))) % 53.50/53.73 (assume @p1743 (forall @t725 (= (tptp.hAPP @t2396 @t1322) @t662))) % 53.50/53.73 (assume @p1744 (forall @t668 @t2429)) % 53.50/53.73 (assume @p1745 (forall @t748 (and (=> @t2432 (= @t2430 @t1157)) (=> (not @t2432) @t2431)))) % 53.50/53.73 (assume @p1746 (forall @t2435 (=> @t801 (= @t2434 @t2433)))) % 53.50/53.73 (assume @p1747 (forall @t2435 (=> @t801 (= @t2433 @t2434)))) % 53.50/53.73 (assume @p1748 (forall @t2435 (=> @t801 (= (tptp.hAPP @t2407 @t97) @t2434)))) % 53.50/53.73 (assume @p1749 (= @t1157 @t2436)) % 53.50/53.73 (assume @p1750 (= @t2436 @t1157)) % 53.50/53.73 (assume @p1751 (forall @t668 (and (=> @t2437 (= @t2410 @t1157)) (=> (not @t2437) (= @t2410 @t2409))))) % 53.50/53.73 (assume @p1752 (forall @t725 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t662 @t1322) @t1157))) % 53.50/53.73 (assume @p1753 (forall @t690 (=> @t1203 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t2399) @t658))))) % 53.50/53.73 (assume @p1754 (forall @t103 (=> @t801 (= (tptp.hAPP @t2405 @t1157) @t645)))) % 53.50/53.73 (assume @p1755 (forall @t2416 (=> @t801 (= (tptp.hAPP (tptp.hAPP @t473 @t2415) @t2406) (tptp.hAPP @t2405 (tptp.hAPP (tptp.hAPP @t796 @t2413) @t1801)))))) % 53.50/53.73 (assume @p1756 (forall @t1858 (= @t2442 (exists @t7 (and @t1857 @t2438))))) % 53.50/53.73 (assume @p1757 (forall @t1858 (= @t2443 (forall @t7 (=> @t1857 @t2438))))) % 53.50/53.73 (assume @p1758 (forall @t1862 (=> @t1928 (=> @t2446 (= (= @t2445 @t2444) @t165))))) % 53.50/53.73 (assume @p1759 (forall (@list @t2447 @t79) (=> @t2450 (=> (tptp.hBOOL (tptp.hAPP @t1713 @t2447)) (= (= @t2449 @t2448) (= @t79 @t2447)))))) % 53.50/53.73 (assume @p1760 (forall @t2295 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t673 @t35) @t1157) (exists @t2294 (= @t673 (tptp.hAPP (tptp.hAPP @t704 @t35) @t2293)))))) % 53.50/53.73 (assume @p1761 (forall @t2382 (=> @t1838 (tptp.hBOOL (tptp.hAPP @t1713 @t2380))))) % 53.50/53.73 (assume @p1762 (forall @t668 @t2453)) % 53.50/53.73 (assume @p1763 (forall @t668 (and @t2411 @t2453))) % 53.50/53.73 (assume @p1764 (forall @t984 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2454 @t658) @t2399))) % 53.50/53.73 (assume @p1765 (forall @t690 (=> @t689 @t2452))) % 53.50/53.73 (assume @p1766 (forall @t2185 (= (tptp.hAPP @t1853 @t2393) (tptp.hAPP (tptp.hAPP @t2195 @t2456) @t2455)))) % 53.50/53.73 (assume @p1767 (forall @t708 (= (tptp.hAPP (tptp.hAPP @t2195 @t1865) @t1864) (tptp.hAPP @t1853 (tptp.hAPP (tptp.hAPP @t2384 @t97) @t152))))) % 53.50/53.73 (assume @p1768 (forall @t1764 (= (tptp.hAPP tptp.c_Int_Onat @t1702) @t2418))) % 53.50/53.73 (assume @p1769 (forall @t1536 (= @t1534 (tptp.hAPP tptp.c_Int_Onat @t1703)))) % 53.50/53.73 (assume @p1770 (forall @t832 (= (tptp.hAPP @t2379 @t831) (tptp.hAPP (tptp.hAPP @t1624 @t2417) (tptp.hAPP @t2379 @t216))))) % 53.50/53.73 (assume @p1771 (= @t638 @t2457)) % 53.50/53.73 (assume @p1772 (forall @t2185 (= (tptp.hAPP @t1853 @t2392) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2456 @t2455)))) % 53.50/53.73 (assume @p1773 (forall @t708 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1865 @t1864) (tptp.hAPP @t1853 @t2458)))) % 53.50/53.73 (assume @p1774 (forall @t1715 (=> @t2460 @t2459))) % 53.50/53.73 (assume @p1775 (forall @t1715 (=> (not @t2460) @t2462))) % 53.50/53.73 (assume @p1776 (forall @t2466 (=> @t1451 (=> @t1410 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t2465) @t1409)))))) % 53.50/53.73 (assume @p1777 (forall @t1919 (and (=> @t1908 (= @t2467 @t1157)) (=> @t1909 (= @t2467 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2290 @t1956))))))) % 53.50/53.73 (assume @p1778 (forall @t1919 (and (=> @t1908 (= @t2468 @t1157)) (=> @t1909 (and (=> @t1957 (= @t2468 @t1534)) (=> @t1958 (= @t2468 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1703 @t1956))))))))) % 53.50/53.73 (assume @p1779 (forall @t2470 (= (tptp.hAPP (tptp.hAPP @t2384 @t1322) @t1912) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2469 @t1956))))) % 53.50/53.73 (assume @p1780 (forall @t752 (=> @t1336 (=> @t744 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 (tptp.hAPP @t2471 @t658)) (tptp.hAPP @t2471 @t662))))))) % 53.50/53.73 (assume @p1781 (forall @t748 (=> @t1340 @t2431))) % 53.50/53.73 (assume @p1782 (forall @t690 (=> @t1203 (= (tptp.hAPP (tptp.hAPP @t2384 @t816) @t658) @t662)))) % 53.50/53.73 (assume @p1783 (forall @t690 (=> @t1203 (= (tptp.hAPP (tptp.hAPP @t2384 @t815) @t658) @t662)))) % 53.50/53.73 (assume @p1784 (forall @t690 (=> @t2473 (=> @t1336 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t2397) @t662)))))) % 53.50/53.73 (assume @p1785 (forall @t2475 (= (= @t2474 @t1157) @t2332))) % 53.50/53.73 (assume @p1786 (forall @t1715 (=> @t2476 @t2459))) % 53.50/53.73 (assume @p1787 (forall @t1762 (=> @t1716 @t2480))) % 53.50/53.73 (assume @p1788 (forall @t1732 (= @t2479 (and @t1716 @t1730)))) % 53.50/53.73 (assume @p1789 (forall @t690 (=> @t1203 (tptp.hBOOL (tptp.hAPP @t2412 @t658))))) % 53.50/53.73 (assume @p1790 (forall @t1862 (=> @t1928 (=> @t2446 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t2445) @t2444)) @t1601))))) % 53.50/53.73 (assume @p1791 (= @t2457 @t1322)) % 53.50/53.73 (assume @p1792 (forall @t984 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t2454) @t658) @t2410))) % 53.50/53.73 (assume @p1793 (forall @t1715 (and @t2481 (=> (not @t1714) (= @t2461 @t1711))))) % 53.50/53.73 (assume @p1794 (forall @t2482 (= (= @t1871 @t79) (and (= @t673 @t2449) @t2450)))) % 53.50/53.73 (assume @p1795 (forall @t1715 @t2481)) % 53.50/53.73 (assume @p1796 (forall @t2482 (= (tptp.hBOOL (tptp.hAPP @t674 @t2449)) (tptp.hBOOL (tptp.hAPP @t1872 @t79))))) % 53.50/53.73 (assume @p1797 (forall @t661 (= (tptp.hAPP tptp.c_Int_Onat @t2070) @t1157))) % 53.50/53.73 (assume @p1798 (forall @t2382 (tptp.hBOOL (tptp.hAPP @t1713 (tptp.hAPP (tptp.hAPP @t2378 @t2483) @t658))))) % 53.50/53.73 (assume @p1799 (forall @t1778 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1987 @t1758)) (tptp.hAPP (tptp.hAPP @t704 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1987 @t1474))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1987 @t216)))))) % 53.50/53.73 (assume @p1800 (forall @t2470 (and (=> @t1957 (= @t2484 @t1322)) (=> @t1958 (= @t2484 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1708 @t1956))))))) % 53.50/53.73 (assume @p1801 (forall @t690 (=> @t1203 (and @t2429 @t2487)))) % 53.50/53.73 (assume @p1802 (forall @t690 (=> @t1203 @t2487))) % 53.50/53.73 (assume @p1803 (forall @t2352 (= (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t2384 @t672) @t676))) (and (=> @t1214 @t1370) (=> @t2490 (forall @t2307 (=> @t2489 (=> @t2488 @t1417)))))))) % 53.50/53.73 (assume @p1804 (forall @t1718 (= (tptp.hBOOL (tptp.hAPP @t1159 @t2449)) @t1716))) % 53.50/53.73 (assume @p1805 (forall @t1862 (=> @t1928 (=> @t2446 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t2445) @t2444)) @t1606))))) % 53.50/53.73 (assume @p1806 (forall @t1732 (=> @t2491 @t2480))) % 53.50/53.73 (assume @p1807 (forall @t2493 (= (= @t2477 @t673) @t2492))) % 53.50/53.73 (assume @p1808 (forall (@list @t881 @t673) (= (= @t673 @t2477) @t2492))) % 53.50/53.73 (assume @p1809 (forall @t1732 (=> (or (tptp.hBOOL (tptp.hAPP @t1712 @t881)) @t2450) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t2477) @t2449)) @t1776)))) % 53.50/53.73 (assume @p1810 (forall @t2494 (= (tptp.hBOOL (tptp.hAPP @t178 @t2474)) (and (forall @t1878 (=> (= @t972 @t1877) (tptp.hBOOL (tptp.hAPP @t178 @t1876)))) (=> (tptp.hBOOL (tptp.hAPP @t2333 @t1711)) @t1370))))) % 53.50/53.73 (assume @p1811 (forall @t2352 (= (tptp.hBOOL (tptp.hAPP @t178 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t672 @t676))) (and (=> @t1214 @t1420) (=> @t2490 (forall @t2307 (=> @t2489 (=> @t2488 @t2357)))))))) % 53.50/53.73 (assume @p1812 (forall @t2356 (=> @t2496 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t1309) @t200)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t2495) @t2395)))))) % 53.50/53.73 (assume @p1813 (forall @t708 (=> @t1838 (=> @t1837 (= (tptp.hAPP (tptp.hAPP @t796 @t2369) @t2425) (tptp.hAPP tptp.c_Int_Onat @t1839)))))) % 53.50/53.73 (assume @p1814 (forall @t2499 (=> @t1714 (=> @t2498 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1725 @t1772)) (tptp.hAPP (tptp.hAPP @t796 @t2388) @t2497)))))) % 53.50/53.73 (assume @p1815 (forall @t292 (=> @t648 (= (tptp.hAPP @t2375 @t2052) (tptp.hAPP (tptp.hAPP @t473 @t481) @t197))))) % 53.50/53.73 (assume @p1816 (forall (@list @t1088 @t673) (= (= @t1871 @t1952) (and (= @t673 (tptp.hAPP tptp.c_Int_Onat @t1952)) (tptp.hBOOL (tptp.hAPP @t1713 @t1952)))))) % 53.50/53.73 (assume @p1817 (forall @t708 (=> @t1838 (=> @t1837 (= (tptp.hAPP (tptp.hAPP @t704 @t2369) @t2425) (tptp.hAPP tptp.c_Int_Onat @t1836)))))) % 53.50/53.73 (assume @p1818 (forall @t2499 (=> @t1714 (= @t2500 (tptp.hAPP (tptp.hAPP @t704 @t2388) @t2497))))) % 53.50/53.73 (assume @p1819 (forall (@list @t216 @t1772) (=> @t2498 (=> @t1774 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2152 @t1772)) (tptp.hAPP (tptp.hAPP @t541 @t2388) @t2497)))))) % 53.50/53.73 (assume @p1820 (forall (@list @t662 @t726) (=> (tptp.hBOOL (tptp.hAPP @t2472 @t726)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t747) @t726) @t638)))) % 53.50/53.73 (assume @p1821 (= @t2052 (tptp.hAPP tptp.c_Int_Onat @t2053))) % 53.50/53.73 (assume @p1822 (forall (@list @t2413 @t662) (and (=> @t1343 (= @t2502 @t638)) (=> @t1387 (= @t2502 (tptp.hAPP @t2414 (tptp.hAPP @t2501 @t670))))))) % 53.50/53.73 (assume @p1823 (forall @t2503 (= (tptp.hBOOL (tptp.hAPP @t1712 (tptp.hAPP (tptp.hAPP @t2378 (tptp.hAPP @t1987 @t48)) @t672))) (or (not (= @t48 @t1711)) @t1207)))) % 53.50/53.73 (assume @p1824 (forall @t708 (=> @t1838 (=> @t1837 (= (tptp.hAPP (tptp.hAPP @t541 @t2369) @t2425) (tptp.hAPP tptp.c_Int_Onat @t1901)))))) % 53.50/53.73 (assume @p1825 (forall @t690 (=> @t1203 (=> @t689 @t2486)))) % 53.50/53.73 (assume @p1826 (forall (@list @t672 @t673 @t178) (= (tptp.hBOOL (tptp.hAPP @t178 @t2504)) (or (and @t1207 @t1370) (exists @t2294 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 (tptp.hAPP @t1219 @t2293)) @t673)) (tptp.hBOOL (tptp.hAPP @t674 (tptp.hAPP @t1219 (tptp.hAPP tptp.c_Nat_OSuc @t2293)))) (tptp.hBOOL (tptp.hAPP @t178 @t2293)))))))) % 53.50/53.73 (assume @p1827 (forall (@list @t673 @t2505 @t672) (=> @t1206 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 (tptp.hAPP @t1219 @t2505)) @t673)) (tptp.hBOOL (tptp.hAPP @t674 (tptp.hAPP @t1219 (tptp.hAPP tptp.c_Nat_OSuc @t2505))))) (= @t2505 @t2504))))) % 53.50/53.73 (assume @p1828 (forall @t668 (= (tptp.hAPP @t2396 @t2057) (tptp.hAPP @t2396 @t2055)))) % 53.50/53.73 (assume @p1829 (forall @t668 (= (tptp.hAPP @t2510 @t658) (tptp.hAPP @t2507 @t658)))) % 53.50/53.73 (assume @p1830 (forall @t2511 (= (tptp.hAPP @t2510 @t1534) (tptp.hAPP @t2507 @t1534)))) % 53.50/53.73 (assume @p1831 (forall @t725 (= (tptp.hAPP (tptp.hAPP @t2384 @t2508) @t2066) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t2396 @t2066))))) % 53.50/53.73 (assume @p1832 (forall @t725 (= (tptp.hAPP (tptp.hAPP @t2384 (tptp.hAPP @t817 @t662)) @t2066) @t662))) % 53.50/53.73 (assume @p1833 (forall @t1718 (= (tptp.hBOOL (tptp.hAPP @t1362 @t2449)) (tptp.hBOOL (tptp.hAPP @t2336 @t79))))) % 53.50/53.73 (assume @p1834 (forall @t2493 (=> @t2491 (= (tptp.hBOOL (tptp.hAPP @t2478 @t673)) (tptp.hBOOL (tptp.hAPP @t1729 @t1871)))))) % 53.50/53.73 (assume @p1835 (forall @t1715 (=> @t1714 (= (tptp.hAPP tptp.c_Nat_OSuc @t2388) (tptp.hAPP tptp.c_Int_Onat @t1710))))) % 53.50/53.73 (assume @p1836 (forall @t668 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t662 @t2057) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t662 @t2055)))) % 53.50/53.73 (assume @p1837 (forall @t668 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2509 @t658) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2506 @t658)))) % 53.50/53.73 (assume @p1838 (forall @t2511 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2509 @t1534) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2506 @t1534)))) % 53.50/53.73 (assume @p1839 (forall @t14 (=> @t2141 (= (= @t2512 @t1160) @t1176)))) % 53.50/53.73 (assume @p1840 (forall @t1198 (=> @t1885 (= (tptp.hAPP @t2513 @t2066) @t1135)))) % 53.50/53.73 (assume @p1841 (forall @t103 (=> @t801 (= @t480 @t2514)))) % 53.50/53.73 (assume @p1842 (forall @t292 (=> @t648 (= @t2515 @t481)))) % 53.50/53.73 (assume @p1843 (forall @t725 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2508 @t2066) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t662 @t2066)))) % 53.50/53.73 (assume @p1844 (forall @t1198 (=> @t1885 (= (tptp.hAPP @t2516 @t2066) @t645)))) % 53.50/53.73 (assume @p1845 (= @t2066 @t2517)) % 53.50/53.73 (assume @p1846 (forall @t292 (=> @t1892 (= (tptp.hAPP @t2518 @t2066) @t2515)))) % 53.50/53.73 (assume @p1847 (forall @t2499 (=> @t2476 (= @t2500 (tptp.hAPP (tptp.hAPP @t704 (tptp.hAPP tptp.c_Int_Onat @t2079)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2062 @t1772))))))) % 53.50/53.73 (assume @p1848 (forall @t2377 (=> @t648 (= @t2521 @t2520)))) % 53.50/53.73 (assume @p1849 (forall @t292 (=> @t998 (= (tptp.hAPP @t1994 @t2515) @t2515)))) % 53.50/53.73 (assume @p1850 (forall @t292 (=> @t998 (= (tptp.hAPP @t2522 @t2066) @t2515)))) % 53.50/53.73 (assume @p1851 (forall @t157 (=> @t791 (=> (= @t2514 @t2523) (=> @t1360 (=> @t1359 @t186)))))) % 53.50/53.73 (assume @p1852 (forall @t157 (=> @t791 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2514) @t2523)) (=> @t1359 @t155))))) % 53.50/53.73 (assume @p1853 (forall @t292 (=> @t998 (tptp.hBOOL (tptp.hAPP @t1136 @t2515))))) % 53.50/53.73 (assume @p1854 (forall @t292 (=> @t998 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t2515) @t1135)))))) % 53.50/53.73 (assume @p1855 (forall @t14 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP @t1273 @t2512)) @t2031)))) % 53.50/53.73 (assume @p1856 (forall @t167 (=> @t1388 (= (= @t2525 @t1160) @t1243)))) % 53.50/53.73 (assume @p1857 (= @t2517 @t2050)) % 53.50/53.73 (assume @p1858 (forall (@list @t1474 @t8) (=> (and (tptp.class_Groups_Omonoid__mult @t8) @t1577) (= (tptp.hAPP (tptp.hAPP @t2463 @t2526) @t2066) (tptp.hAPP (tptp.hAPP @t465 @t2526) @t2526))))) % 53.50/53.73 (assume @p1859 (forall @t14 (=> @t2141 (= (= @t2512 @t641) (or (= @t13 @t641) (= @t13 @t2140)))))) % 53.50/53.73 (assume @p1860 (forall @t2529 (=> @t801 (= (tptp.hAPP @t2405 @t2371) @t2528)))) % 53.50/53.73 (assume @p1861 (forall @t2377 (=> @t1892 (= (tptp.hAPP @t2518 @t2371) @t2521)))) % 53.50/53.73 (assume @p1862 (forall @t661 (=> @t2473 (tptp.hBOOL (tptp.hAPP @t1159 (tptp.hAPP @t2408 @t2066)))))) % 53.50/53.73 (assume @p1863 (forall @t157 (=> @t791 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t2514) @t2523)) (=> @t1359 @t378))))) % 53.50/53.73 (assume @p1864 (forall @t157 (=> @t998 (tptp.hBOOL (tptp.hAPP @t1136 @t2530))))) % 53.50/53.73 (assume @p1865 (forall @t167 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t2525) @t1160)) @t1243)))) % 53.50/53.73 (assume @p1866 (forall @t167 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP @t1273 @t2525)) @t1356)))) % 53.50/53.73 (assume @p1867 (forall @t157 (=> @t998 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t2530) @t1135)))))) % 53.50/53.73 (assume @p1868 (forall @t157 (=> @t1621 (= (tptp.hAPP (tptp.hAPP @t2373 @t2532) @t2066) (tptp.hAPP (tptp.hAPP @t834 @t2530) @t2531))))) % 53.50/53.73 (assume @p1869 (forall @t2377 (=> @t998 (tptp.hBOOL (tptp.hAPP @t1136 @t2521))))) % 53.50/53.73 (assume @p1870 (forall @t2377 (=> @t648 (= @t2376 (tptp.hAPP @t476 @t2520))))) % 53.50/53.73 (assume @p1871 (forall @t2529 (=> @t801 (= (tptp.hAPP @t2405 @t2372) (tptp.hAPP @t479 @t2528))))) % 53.50/53.73 (assume @p1872 (forall @t2534 (= (tptp.hBOOL (tptp.hAPP @t1159 @t2533)) (= @t2533 @t638)))) % 53.50/53.73 (assume @p1873 (forall @t1881 (=> @t1892 (= (tptp.hAPP @t2374 @t2371) @t645)))) % 53.50/53.73 (assume @p1874 (forall @t2285 (=> @t1336 (=> @t1722 (= (tptp.hAPP (tptp.hAPP @t2195 (tptp.hAPP @t2535 @t662)) @t726) (tptp.hAPP @t2535 (tptp.hAPP @t669 @t1322))))))) % 53.50/53.73 (assume @p1875 (forall @t661 (=> @t1203 (tptp.hBOOL (tptp.hAPP @t1159 (tptp.hAPP (tptp.hAPP @t2384 @t993) @t2066)))))) % 53.50/53.73 (assume @p1876 (forall @t157 (=> @t1621 (= (tptp.hAPP (tptp.hAPP @t2373 @t2136) @t2066) (tptp.hAPP (tptp.hAPP @t913 @t2530) @t2531))))) % 53.50/53.73 (assume @p1877 (forall @t2377 (=> @t998 (=> (tptp.hBOOL (tptp.hAPP @t1136 @t2376)) @t1240)))) % 53.50/53.73 (assume @p1878 (forall @t1835 (and (=> @t2541 (= @t2539 @t1711)) (=> (not @t2541) (and (=> @t2540 (= @t2539 @t2538)) (=> (not @t2540) (= @t2539 (tptp.hAPP (tptp.hAPP @t1617 @t2538) @t1708)))))))) % 53.50/53.73 (assume @p1879 (forall @t2546 (=> @t791 (=> @t387 (=> @t1240 (=> @t1203 @t2545)))))) % 53.50/53.73 (assume @p1880 (forall (@list @t662 @t658 @t197 @t98) (=> @t1516 (=> @t1189 (=> @t689 (= (tptp.hAPP @t2375 @t685) (tptp.hAPP (tptp.hAPP @t1427 @t2547) @t2519))))))) % 53.50/53.73 (assume @p1881 (forall @t2377 (=> @t791 (=> @t2548 (=> @t1203 (tptp.hBOOL (tptp.hAPP @t790 @t2519))))))) % 53.50/53.73 (assume @p1882 (forall @t2549 (=> @t791 (=> @t2548 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2547) @t2519)) @t744))))) % 53.50/53.73 (assume @p1883 (forall @t2377 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t98) (=> @t1189 (not (= @t2519 @t1135)))))) % 53.50/53.73 (assume @p1884 (forall @t661 (= (tptp.hAPP (tptp.hAPP @t2381 @t1322) @t658) @t1322))) % 53.50/53.73 (assume @p1885 (forall (@list @t673 @t48) (= (= (tptp.hAPP @t2550 @t673) @t1322) (or @t1210 (= @t48 @t1322))))) % 53.50/53.73 (assume @p1886 (forall @t2503 (= (tptp.hBOOL (tptp.hAPP @t1159 (tptp.hAPP @t2550 @t672))) (or (tptp.hBOOL (tptp.hAPP @t1159 @t48)) @t1207)))) % 53.50/53.73 (assume @p1887 (forall @t2554 (=> (tptp.hBOOL (tptp.hAPP @t1159 @t730)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t2553) @t2552)) @t667)))) % 53.50/53.73 (assume @p1888 (forall @t2377 (=> @t648 (= @t2557 @t2555)))) % 53.50/53.73 (assume @p1889 (forall @t2546 (=> @t647 (= (tptp.hAPP (tptp.hAPP @t2373 @t477) @t658) (tptp.hAPP @t2556 @t2543))))) % 53.50/53.73 (assume @p1890 (forall @t1881 (=> @t648 (= (tptp.hAPP @t2516 @t658) @t645)))) % 53.50/53.73 (assume @p1891 (forall @t792 (=> @t1885 (= (tptp.hAPP @t1842 @t2402) (tptp.hAPP (tptp.hAPP @t2373 @t1879) @t658))))) % 53.50/53.73 (assume @p1892 (forall @t2549 (=> @t648 (= (tptp.hAPP @t2375 @t816) (tptp.hAPP (tptp.hAPP @t2373 @t2547) @t658))))) % 53.50/53.73 (assume @p1893 (forall @t2546 (=> @t1475 @t2558))) % 53.50/53.73 (assume @p1894 (forall @t2377 (=> @t998 (= @t2560 @t2559)))) % 53.50/53.73 (assume @p1895 (forall @t292 (=> @t648 (= (tptp.hAPP @t2375 @t638) @t197)))) % 53.50/53.73 (assume @p1896 (forall @t2377 (=> @t791 (=> @t1240 (tptp.hBOOL (tptp.hAPP @t1136 @t2519)))))) % 53.50/53.73 (assume @p1897 (forall @t2546 (=> @t791 (=> @t213 (=> @t1240 (tptp.hBOOL (tptp.hAPP @t2561 @t2543))))))) % 53.50/53.73 (assume @p1898 (forall @t2377 (=> @t791 (=> @t1281 (tptp.hBOOL (tptp.hAPP @t1277 @t2519)))))) % 53.50/53.73 (assume @p1899 (forall @t2466 (=> (and @t2562 (tptp.class_Rings_Omult__zero @t8) (tptp.class_Rings_Ono__zero__divisors @t8) (tptp.class_Rings_Ozero__neq__one @t8)) (= (= @t2465 @t1160) (and @t1176 @t1208))))) % 53.50/53.73 (assume @p1900 (forall @t2377 (=> @t791 (=> @t2563 (tptp.hBOOL (tptp.hAPP @t1313 @t2519)))))) % 53.50/53.73 (assume @p1901 (forall @t1881 (=> @t2565 (= (tptp.hAPP @t2513 @t659) @t1135)))) % 53.50/53.73 (assume @p1902 (forall (@list @t672 @t673 @t13 @t8) (=> @t1887 (=> (tptp.hBOOL (tptp.hAPP @t2058 @t13)) (= (= (tptp.hAPP @t2464 @t673) @t2465) @t702))))) % 53.50/53.73 (assume @p1903 (forall @t2377 (=> @t648 (= @t2566 @t2557)))) % 53.50/53.73 (assume @p1904 (forall @t2377 (=> @t2564 (= @t2566 @t2555)))) % 53.50/53.73 (assume @p1905 (forall @t788 (=> (tptp.hBOOL (tptp.hAPP @t1375 @t730)) (tptp.hBOOL (tptp.hAPP @t1375 @t2552))))) % 53.50/53.73 (assume @p1906 (forall @t292 (=> @t2564 (= (tptp.hAPP @t2375 @t1157) @t645)))) % 53.50/53.73 (assume @p1907 (forall @t2549 (=> @t648 (= (tptp.hAPP @t2375 @t818) (tptp.hAPP (tptp.hAPP @t473 @t2547) @t2519))))) % 53.50/53.73 (assume @p1908 (forall (@list @t658 @t197 @t200 @t98) (=> @t1516 (=> @t1188 @t2558)))) % 53.50/53.73 (assume @p1909 (forall @t2377 (=> @t1475 (= (tptp.hAPP @t2567 @t2519) (tptp.hAPP (tptp.hAPP @t2373 (tptp.hAPP @t2567 @t197)) @t658))))) % 53.50/53.73 (assume @p1910 (forall @t2377 (=> @t998 (= (tptp.hAPP @t1994 @t2568) @t2560)))) % 53.50/53.73 (assume @p1911 (forall @t2569 (=> @t791 (=> @t2545 (=> @t1239 @t387))))) % 53.50/53.73 (assume @p1912 (forall @t2569 (=> @t791 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2566) @t2570)) (=> @t1239 @t213))))) % 53.50/53.73 (assume @p1913 (forall @t2569 (=> @t791 (=> (= @t2566 @t2570) (=> @t1240 (=> @t1239 @t203)))))) % 53.50/53.73 (assume @p1914 (forall @t2377 (=> @t791 (=> @t2548 (tptp.hBOOL (tptp.hAPP @t2544 @t2555)))))) % 53.50/53.73 (assume @p1915 (forall @t2377 (=> @t791 (=> @t2548 (tptp.hBOOL (tptp.hAPP @t790 @t2555)))))) % 53.50/53.73 (assume @p1916 (forall @t1881 (=> @t2565 (and (=> @t1204 (= @t2571 @t645)) (=> @t1205 (= @t2571 @t1135)))))) % 53.50/53.73 (assume @p1917 (forall @t2377 (=> @t791 (=> @t2548 (tptp.hBOOL (tptp.hAPP @t790 @t2566)))))) % 53.50/53.73 (assume @p1918 (forall @t2576 (=> @t1887 (=> @t2575 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t2574) @t2573)) @t1859))))) % 53.50/53.73 (assume @p1919 (forall @t2549 (=> @t791 (=> @t2548 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t2547) @t2519)) @t667))))) % 53.50/53.73 (assume @p1920 (forall @t2580 (=> @t791 (=> @t2579 (=> @t2548 (tptp.hBOOL (tptp.hAPP @t2544 @t2578))))))) % 53.50/53.73 (assume @p1921 (forall @t2377 (=> @t998 (tptp.hBOOL (tptp.hAPP @t1136 @t2559))))) % 53.50/53.73 (assume @p1922 (forall @t2580 (=> @t791 (=> @t2581 (=> @t2563 (tptp.hBOOL (tptp.hAPP @t2561 @t2578))))))) % 53.50/53.73 (assume @p1923 (forall @t2377 (=> @t1892 (= @t2568 (tptp.hAPP (tptp.hAPP @t473 (tptp.hAPP @t2374 @t658)) @t2519))))) % 53.50/53.73 (assume @p1924 (forall @t2377 (=> @t791 (=> @t1281 (=> @t2582 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t2555) @t2519))))))) % 53.50/53.73 (assume @p1925 (forall @t2569 (=> @t791 (=> (= @t2519 @t2543) (=> @t1240 (=> @t1239 (=> @t1203 @t203))))))) % 53.50/53.73 (assume @p1926 (forall @t2377 (=> @t791 (=> @t1281 (=> @t2582 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t2566) @t645))))))) % 53.50/53.73 (assume @p1927 (forall @t2580 (=> @t791 (=> @t2579 (=> @t1281 (=> @t2582 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t2578) @t2519)))))))) % 53.50/53.73 (assume @p1928 (forall @t2580 (=> @t791 (=> @t2581 (=> @t1240 (=> (tptp.hBOOL (tptp.hAPP @t198 @t645)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2578) @t2519)))))))) % 53.50/53.73 (assume @p1929 (forall @t2576 (=> @t1887 (=> @t2575 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t2574) @t2573)) @t1863))))) % 53.50/53.73 (assume @p1930 (forall @t788 (= (tptp.c_Int_Onat__aux @t730 @t658) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP tptp.c_Int_Onat @t730)) @t658)))) % 53.50/53.73 (assume @p1931 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t1713)) % 53.50/53.73 (assume @p1932 (forall @t135 (=> @t335 (= (tptp.hAPP @t1140 @t2585) (tptp.hAPP @t2583 @t504))))) % 53.50/53.73 (assume @p1933 (forall @t96 (=> @t2562 (= @t2463 (tptp.c_Power_Opower_Opower @t8 @t641 @t465))))) % 53.50/53.73 (assume @p1934 (forall @t1881 (=> @t1621 (= (tptp.hAPP @t2587 @t2372) @t2586)))) % 53.50/53.73 (assume @p1935 (forall @t116 (=> @t115 @t2590))) % 53.50/53.73 (assume @p1936 (tptp.hBOOL (tptp.hAPP @t2591 tptp.c_Int_OMin))) % 53.50/53.73 (assume @p1937 (not (tptp.hBOOL (tptp.hAPP @t2592 tptp.c_Int_OMin)))) % 53.50/53.73 (assume @p1938 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 53.50/53.73 (assume @p1939 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 53.50/53.73 (assume @p1940 (forall @t2039 (= (= @t1999 tptp.c_Int_OMin) (= @t676 tptp.c_Int_OMin)))) % 53.50/53.73 (assume @p1941 (forall @t2119 (= (= tptp.c_Int_OMin @t1998) (= tptp.c_Int_OMin @t1695)))) % 53.50/53.73 (assume @p1942 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 53.50/53.73 (assume @p1943 (forall @t2027 (not (= tptp.c_Int_OMin @t2121)))) % 53.50/53.73 (assume @p1944 (forall @t1835 (not (= @t2081 tptp.c_Int_OMin)))) % 53.50/53.73 (assume @p1945 (forall @t135 (tptp.hBOOL (tptp.hAPP @t2589 @t2585)))) % 53.50/53.73 (assume @p1946 (forall @t135 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t2585) @t25))) % 53.50/53.73 (assume @p1947 (forall @t135 (not (= @t2585 @t1049)))) % 53.50/53.73 (assume @p1948 (tptp.hBOOL (tptp.hAPP @t2592 @t1711))) % 53.50/53.73 (assume @p1949 (not (tptp.hBOOL (tptp.hAPP @t1922 tptp.c_Int_OMin)))) % 53.50/53.73 (assume @p1950 (tptp.hBOOL (tptp.hAPP @t2591 tptp.c_Int_OPls))) % 53.50/53.73 (assume @p1951 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2021 tptp.c_Int_OMin)) @t2593))) % 53.50/53.73 (assume @p1952 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2591 @t1999)) (tptp.hBOOL (tptp.hAPP @t2591 @t676))))) % 53.50/53.73 (assume @p1953 (tptp.hBOOL (tptp.hAPP @t2592 tptp.c_Int_OPls))) % 53.50/53.73 (assume @p1954 (not (tptp.hBOOL (tptp.hAPP @t1923 tptp.c_Int_OMin)))) % 53.50/53.73 (assume @p1955 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2592 @t1999)) @t2594))) % 53.50/53.73 (assume @p1956 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2022 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t1705 tptp.c_Int_OMin))))) % 53.50/53.73 (assume @p1957 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2113 tptp.c_Int_OMin)) @t2593))) % 53.50/53.73 (assume @p1958 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2592 @t2083)) @t2594))) % 53.50/53.73 (assume @p1959 (not (= @t1921 @t2595))) % 53.50/53.73 (assume @p1960 (= tptp.c_Int_OMin @t2596)) % 53.50/53.73 (assume @p1961 (forall @t1835 (= (tptp.hAPP (tptp.hAPP @t1624 tptp.c_Int_OMin) @t726) @t2080))) % 53.50/53.73 (assume @p1962 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2595))) % 53.50/53.73 (assume @p1963 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 53.50/53.73 (assume @p1964 (forall @t1835 (= (tptp.hAPP @t1775 tptp.c_Int_OMin) @t1969))) % 53.50/53.73 (assume @p1965 (forall @t1835 (= (tptp.hAPP (tptp.hAPP @t1617 tptp.c_Int_OMin) @t726) @t1969))) % 53.50/53.73 (assume @p1966 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 53.50/53.73 (assume @p1967 (forall @t1198 (=> @t1621 (not (tptp.c_Int_Oiszero @t98 @t2586))))) % 53.50/53.73 (assume @p1968 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 53.50/53.73 (assume @p1969 (forall @t1835 (= (tptp.hAPP @t1925 tptp.c_Int_OMin) @t1970))) % 53.50/53.73 (assume @p1970 (forall @t246 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t30) @t2588)))) % 53.50/53.73 (assume @p1971 (forall @t116 (= @t2590 @t115))) % 53.50/53.73 (assume @p1972 (forall @t116 (=> @t2590 @t115))) % 53.50/53.73 (assume @p1973 (forall @t116 (=> @t115 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1051 @t2585) @t2588))))) % 53.50/53.73 (assume @p1974 (forall @t135 (= (tptp.hBOOL (tptp.hAPP @t909 @t2585)) @t335))) % 53.50/53.73 (assume @p1975 (forall @t2171 (=> @t1621 (= (tptp.hAPP @t1470 @t2586) @t2597)))) % 53.50/53.73 (assume @p1976 (forall @t2171 (=> @t1621 (= (tptp.hAPP (tptp.hAPP @t473 @t2586) @t216) @t2597)))) % 53.50/53.73 (assume @p1977 (forall @t135 (tptp.hBOOL (tptp.hAPP @t1052 (tptp.hAPP @t2584 @t911))))) % 53.50/53.73 (assume @p1978 (forall @t1198 (=> @t1621 (= @t2139 @t2586)))) % 53.50/53.73 (assume @p1979 (forall @t1198 (=> @t1621 (= @t2586 @t2139)))) % 53.50/53.73 (assume @p1980 (forall @t1198 (=> @t2167 (= (tptp.hAPP @t1994 @t2586) @t645)))) % 53.50/53.73 (assume @p1981 (forall @t103 (=> @t1931 (= (tptp.hAPP @t1467 @t2586) @t2084)))) % 53.50/53.73 (assume @p1982 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2118 tptp.c_Int_OMin)) @t2593))) % 53.50/53.73 (assume @p1983 (forall @t2039 (= (tptp.hBOOL (tptp.hAPP @t2591 @t2083)) @t2594))) % 53.50/53.73 (assume @p1984 (forall @t2206 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t197 @t2595) @t1711))) % 53.50/53.73 (assume @p1985 (forall @t2027 (= (tptp.hAPP @t2150 @t2026) @t2600))) % 53.50/53.73 (assume @p1986 (= (tptp.hAPP @t2062 tptp.c_Int_OMin) @t1992)) % 53.50/53.73 (assume @p1987 (forall @t668 (=> (= @t2037 @t1708) (or (= @t662 @t1708) (= @t662 @t2595))))) % 53.50/53.73 (assume @p1988 (forall @t701 (= @t1720 (or @t1719 (and (= @t673 @t2595) (= @t672 @t2595)))))) % 53.50/53.73 (assume @p1989 (forall @t2027 (= (tptp.hAPP @t2598 @t2121) @t2600))) % 53.50/53.73 (assume @p1990 (forall @t2027 (= (tptp.hAPP @t2598 @t2026) (tptp.c_Int_OBit0 @t2599)))) % 53.50/53.73 (assume @p1991 (forall (@list @t13 @t2602 @t2601 @t8) (= (tptp.hAPP @t2603 @t1157) @t2601))) % 53.50/53.73 (assume @p1992 (forall (@list @t672 @t13 @t2602 @t2601 @t8) (= (tptp.hAPP @t2603 @t692) (tptp.hAPP (tptp.hAPP @t2602 @t13) (tptp.hAPP @t2603 @t672))))) % 53.50/53.73 (assume @p1993 (forall @t2206 (= (tptp.hAPP @t2205 @t2595) @t2245))) % 53.50/53.73 (assume @p1994 (forall @t116 (= (tptp.hAPP @t2584 @t488) (tptp.hAPP (tptp.hAPP @t1062 @t2585) @t2588)))) % 53.50/53.73 (assume @p1995 (forall @t103 (=> @t1931 (= (tptp.hAPP (tptp.hAPP @t1427 @t2586) @t97) (tptp.hAPP @t2074 (tptp.hAPP @t2567 @t97)))))) % 53.50/53.73 (assume @p1996 (forall @t1881 (=> @t2167 (= (tptp.hAPP @t1994 (tptp.hAPP @t2587 @t658)) @t645)))) % 53.50/53.73 (assume @p1997 (forall @t2242 (=> @t2279 (= (tptp.hAPP (tptp.hAPP @t2195 @t2595) @t200) @t2595)))) % 53.50/53.73 (assume @p1998 (forall @t96 (= (tptp.hAPP @t2584 @t30) (tptp.hAPP (tptp.hAPP @t1054 @t30) @t1049)))) % 53.50/53.73 (assume @p1999 (forall @t116 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1051 (tptp.hAPP @t2604 @t2588)) (tptp.hAPP @t2584 @t131))))) % 53.50/53.73 (assume @p2000 (forall @t2185 (=> @t1806 (=> @t2343 (= @t2217 @t2595))))) % 53.50/53.73 (assume @p2001 (forall @t2242 (=> @t2279 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2595 @t200) @t2605)))) % 53.50/53.73 (assume @p2002 (forall @t1881 (=> @t1621 (= (tptp.hAPP @t2587 @t2371) @t645)))) % 53.50/53.73 (assume @p2003 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2077) @t1157)) % 53.50/53.73 (assume @p2004 (forall @t1975 (=> @t1892 (and (=> @t2608 (= @t2607 (tptp.hAPP @t2074 (tptp.hAPP @t1842 (tptp.hAPP tptp.c_Int_Onat @t2080))))) (=> (not @t2608) (= @t2607 (tptp.hAPP @t1842 (tptp.hAPP tptp.c_Int_Onat @t726)))))))) % 53.50/53.73 (assume @p2005 (forall @t708 (= (tptp.c_Nitpick_Oint__lcm @t97 @t152) (tptp.hAPP @t1853 (tptp.c_Nitpick_Onat__lcm @t2610 @t2609))))) % 53.50/53.73 (assume @p2006 (forall @t1968 (=> (tptp.hBOOL (tptp.hAPP @t1756 @t1711)) (exists @t1878 (= @t97 (tptp.hAPP @t2062 @t1891)))))) % 53.50/53.73 (assume @p2007 (= (tptp.hAPP @t2611 @t2077) @t1157)) % 53.50/53.73 (assume @p2008 (forall @t2615 (=> @t1456 (= (= @t2614 @t2613) @t1728)))) % 53.50/53.73 (assume @p2009 (forall @t1975 (=> @t1621 (= @t1974 @t2607)))) % 53.50/53.73 (assume @p2010 (forall @t1764 (= @t1702 (tptp.hAPP @t2616 @t1474)))) % 53.50/53.73 (assume @p2011 (forall @t661 (= (tptp.hAPP @t2616 @t1869) @t1869))) % 53.50/53.73 (assume @p2012 (forall @t2267 (=> @t1456 (= (= @t2613 @t1160) @t2047)))) % 53.50/53.73 (assume @p2013 (forall @t2267 (=> @t1456 (= (= @t1160 @t2613) @t2047)))) % 53.50/53.73 (assume @p2014 (forall @t1198 (=> @t1892 (= (tptp.hAPP @t2606 @t1711) @t1135)))) % 53.50/53.73 (assume @p2015 (forall @t2615 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t2614) @t2613)) @t1776)))) % 53.50/53.73 (assume @p2016 (forall @t2615 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t2614) @t2613)) @t1730)))) % 53.50/53.73 (assume @p2017 (forall @t2095 (=> @t1892 (= (tptp.hAPP @t2606 @t1735) (tptp.hAPP (tptp.hAPP @t834 @t2618) @t2617))))) % 53.50/53.73 (assume @p2018 (forall @t1847 (=> @t1621 (= (tptp.hAPP @t2606 @t1703) @t1614)))) % 53.50/53.73 (assume @p2019 (forall @t2095 (=> @t1892 (= (tptp.hAPP @t2606 @t1758) (tptp.hAPP (tptp.hAPP @t473 @t2618) @t2617))))) % 53.50/53.73 (assume @p2020 (forall @t1198 (=> @t1892 (= (tptp.hAPP @t2606 @t1708) @t645)))) % 53.50/53.73 (assume @p2021 (forall @t2095 (=> @t1892 (= (tptp.hAPP @t2606 (tptp.hAPP (tptp.hAPP @t1632 @t1474) @t216)) (tptp.hAPP (tptp.hAPP @t913 @t2618) @t2617))))) % 53.50/53.73 (assume @p2022 (forall @t1881 (=> @t1892 (= (tptp.hAPP @t2606 @t1869) @t1880)))) % 53.50/53.73 (assume @p2023 (forall @t2171 (=> @t1892 (= (tptp.hAPP @t2606 @t2079) (tptp.hAPP @t2074 @t2617))))) % 53.50/53.73 (assume @p2024 (forall @t2267 (=> @t1451 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t2613) @t1409))))) % 53.50/53.73 (assume @p2025 (forall (@list @t658 @t216 @t98) (=> @t1892 (= (tptp.hAPP @t2606 @t2389) (tptp.hAPP (tptp.hAPP @t2373 @t2617) @t658))))) % 53.50/53.73 (assume @p2026 (forall @t1198 (=> @t1621 (= (tptp.hAPP @t2606 @t2595) @t2586)))) % 53.50/53.73 (assume @p2027 (forall @t2267 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP @t1236 @t2613)) @t2450)))) % 53.50/53.73 (assume @p2028 (forall @t2267 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t2613) @t1160)) (tptp.hBOOL (tptp.hAPP @t1761 @t1711)))))) % 53.50/53.73 (assume @p2029 (forall @t2267 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t2613) @t1160)) @t1727)))) % 53.50/53.73 (assume @p2030 (forall @t2267 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP @t1273 @t2613)) @t1716)))) % 53.50/53.73 (assume @p2031 (forall @t2171 (=> @t1892 (=> @t1714 (= (tptp.hAPP @t1842 @t2388) @t2617))))) % 53.50/53.73 (assume @p2032 (forall @t708 (= (tptp.c_Nitpick_Onat__lcm @t97 @t152) (tptp.hAPP (tptp.hAPP @t2384 @t1866) @t2619)))) % 53.50/53.73 (assume @p2033 (forall @t2622 (= (tptp.hAPP @t2611 @t2621) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t2611 @t2620)) @t1322)))) % 53.50/53.73 (assume @p2034 (forall @t2622 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2621) (tptp.hAPP (tptp.hAPP @t796 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2620)) @t1322)))) % 53.50/53.73 (assume @p2035 (forall @t292 (=> @t998 (=> @t1285 (= @t2623 @t2139))))) % 53.50/53.73 (assume @p2036 (forall @t14 (=> @t1388 (= (= @t2624 @t2140) @t1275)))) % 53.50/53.73 (assume @p2037 (forall @t292 (=> @t998 (= (tptp.c_Groups_Osgn__class_Osgn @t98 @t2623) @t2623)))) % 53.50/53.73 (assume @p2038 (forall (@list @t2625 @t2626) (= (= @t2627 (tptp.c_Code__Numeral_OSuc__code__numeral @t2625)) (= @t2626 @t2625)))) % 53.50/53.73 (assume @p2039 (forall @t14 (=> @t1388 (= (= @t2624 @t1160) @t1176)))) % 53.50/53.73 (assume @p2040 (forall @t1198 (=> @t2628 (= (tptp.c_Groups_Osgn__class_Osgn @t98 @t1135) @t1135)))) % 53.50/53.73 (assume @p2041 (forall @t295 (=> @t998 (= (tptp.c_Groups_Osgn__class_Osgn @t98 @t477) (tptp.hAPP (tptp.hAPP @t473 @t2623) (tptp.c_Groups_Osgn__class_Osgn @t98 @t200)))))) % 53.50/53.73 (assume @p2042 (forall (@list @t2629) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t2629) @t2077)))) % 53.50/53.73 (assume @p2043 (forall (@list @t2630) (not (= @t2077 (tptp.c_Code__Numeral_OSuc__code__numeral @t2630))))) % 53.50/53.73 (assume @p2044 (forall @t14 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t2624) @t1160)) @t1275)))) % 53.50/53.73 (assume @p2045 (forall @t14 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP @t1273 @t2624)) @t1274)))) % 53.50/53.73 (assume @p2046 (forall @t1975 (=> @t998 (= @t2631 (tptp.hAPP (tptp.hAPP @t473 @t726) (tptp.c_Groups_Osgn__class_Osgn @t98 @t726)))))) % 53.50/53.73 (assume @p2047 (forall @t103 (=> @t998 (= (tptp.hAPP (tptp.hAPP @t473 @t2632) @t2043) @t97)))) % 53.50/53.73 (assume @p2048 (forall @t661 (= (tptp.hAPP (tptp.hAPP @t2078 (tptp.c_Code__Numeral_OSuc__code__numeral @t658)) @t2061) @t658))) % 53.50/53.73 (assume @p2049 (forall @t14 (=> @t1388 (= (= @t2624 @t641) @t1274)))) % 53.50/53.73 (assume @p2050 (forall @t292 (=> @t998 (=> @t1281 (= @t2623 @t645))))) % 53.50/53.73 (assume @p2051 (forall @t1907 (and (=> @t2633 (= @t2619 @t97)) (=> (not @t2633) (= @t2619 (tptp.c_Nitpick_Onat__gcd @t152 @t2458)))))) % 53.50/53.73 (assume @p2052 (forall @t2163 (and (=> @t2636 (= @t2634 @t1711)) (=> (not @t2636) (and (=> @t2635 (= @t2634 @t1708)) (=> (not @t2635) (= @t2634 @t2596))))))) % 53.50/53.73 (assume @p2053 (forall @t103 (=> @t2628 (and (=> @t2637 (= @t2632 @t1135)) (=> (not @t2637) (and (=> @t1483 (= @t2632 @t645)) (=> (not @t1483) (= @t2632 @t2139)))))))) % 53.50/53.73 (assume @p2054 (forall @t708 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t97) @t152) (tptp.hAPP @t1853 (tptp.c_Nitpick_Onat__gcd @t2610 @t2609))))) % 53.50/53.73 (assume @p2055 (forall @t2640 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t8 @t1683 @t2638 @t2627) @t2639))) % 53.50/53.73 (assume @p2056 (forall @t157 (=> @t2085 (=> (= @t519 @t248) (=> (= @t290 @t2641) (= @t2084 @t152)))))) % 53.50/53.73 (assume @p2057 (forall (@list @t676 @t2 @t672) (=> (forall @t1419 (=> @t2650 @t2648)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t2646) @t676)) (=> @t2645 (exists @t1419 (and @t2643 @t2642))))))) % 53.50/53.73 (assume @p2058 (forall @t54 (tptp.hBOOL (tptp.hAPP @t148 @t2651)))) % 53.50/53.73 (assume @p2059 (forall @t96 (= (tptp.hAPP @t2584 @t2651) @t2652))) % 53.50/53.73 (assume @p2060 (forall @t2657 (=> @t2656 @t2654))) % 53.50/53.73 (assume @p2061 (forall @t96 (not (= @t2651 @t30)))) % 53.50/53.73 (assume @p2062 (forall @t96 (=> @t365 @t2658))) % 53.50/53.73 (assume @p2063 (forall @t96 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t2652) @t2651))) % 53.50/53.73 (assume @p2064 (forall @t51 (=> (tptp.class_Orderings_Otop @t8) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t50) @t48) @t2659)))) % 53.50/53.73 (assume @p2065 (forall @t96 (=> @t814 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t2651) @t2659)))) % 53.50/53.73 (assume @p2066 (forall @t2657 (=> @t2658 (=> @t2654 (tptp.hBOOL (tptp.hAPP @t2663 @t2662)))))) % 53.50/53.73 (assume @p2067 (forall @t96 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t2664) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t2664 tptp.tc_HOL_Obool)))) @t2658))) % 53.50/53.73 (assume @p2068 (forall @t2657 (= (tptp.c_Sum__Type_OPlus @t8 @t49 @t2651 @t2653) @t2665))) % 53.50/53.73 (assume @p2069 (forall @t246 (= (tptp.hAPP (tptp.hAPP @t486 @t2651) @t88) @t88))) % 53.50/53.73 (assume @p2070 (forall @t135 (= (tptp.hAPP @t487 @t2651) @t25))) % 53.50/53.73 (assume @p2071 (forall @t246 (= (tptp.hAPP (tptp.hAPP @t83 @t2651) @t88) @t2651))) % 53.50/53.73 (assume @p2072 (forall @t135 (= (tptp.hAPP @t130 @t2651) @t2651))) % 53.50/53.73 (assume @p2073 (forall @t135 (tptp.hBOOL (tptp.hAPP @t72 @t2651)))) % 53.50/53.73 (assume @p2074 (= (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))) @t638)) % 53.50/53.73 (assume @p2075 (forall @t2657 (= (tptp.hBOOL (tptp.hAPP @t1233 @t2665)) (and @t2658 @t2654)))) % 53.50/53.73 (assume @p2076 (forall @t103 (=> (tptp.class_Orderings_Otop @t98) (tptp.hBOOL (tptp.hAPP @t100 @t2641))))) % 53.50/53.73 (assume @p2077 (forall @t103 (=> @t2666 (= (tptp.hAPP (tptp.hAPP @t270 @t2641) @t97) @t2641)))) % 53.50/53.73 (assume @p2078 (forall @t103 (=> @t2666 (= (tptp.hAPP @t272 @t2641) @t2641)))) % 53.50/53.73 (assume @p2079 (forall @t167 (=> (tptp.class_Lattices_Obounded__lattice__top @t8) (= (= @t553 @t2659) (and (= @t48 @t2659) (= @t57 @t2659)))))) % 53.50/53.73 (assume @p2080 (forall @t103 (=> @t2666 (= (tptp.hAPP @t513 @t2641) @t97)))) % 53.50/53.73 (assume @p2081 (forall @t103 (=> @t2666 (= (tptp.hAPP (tptp.hAPP @t510 @t2641) @t97) @t97)))) % 53.50/53.73 (assume @p2082 (forall @t135 (= (tptp.hAPP @t85 @t2651) @t30))) % 53.50/53.73 (assume @p2083 (forall @t135 (=> @t2658 (=> (= @t504 @t2667) (= @t25 @t2651))))) % 53.50/53.73 (assume @p2084 (forall @t96 (= (tptp.hAPP @t2197 @t2651) @t30))) % 53.50/53.73 (assume @p2085 (forall @t96 (= (tptp.hAPP @t2197 @t30) @t2651))) % 53.50/53.73 (assume @p2086 (forall @t135 (=> @t335 (= (tptp.hBOOL (tptp.hAPP @t334 @t2198)) @t2658)))) % 53.50/53.73 (assume @p2087 (forall @t135 (= (tptp.hAPP @t130 @t2198) @t2651))) % 53.50/53.73 (assume @p2088 (forall @t135 (= (tptp.hAPP @t2296 @t25) @t2651))) % 53.50/53.73 (assume @p2089 (forall @t135 (= @t2198 (tptp.hAPP (tptp.hAPP @t84 @t2651) @t25)))) % 53.50/53.73 (assume @p2090 (forall @t1198 (=> @t2085 (= (tptp.hAPP @t2074 @t2641) @t248)))) % 53.50/53.73 (assume @p2091 (forall @t1198 (=> @t2085 (= (tptp.hAPP @t2074 @t248) @t2641)))) % 53.50/53.73 (assume @p2092 (forall @t103 (=> @t2085 (= (tptp.hAPP @t2143 @t97) @t2641)))) % 53.50/53.73 (assume @p2093 (forall @t103 (=> @t2085 (= (tptp.hAPP @t272 @t2084) @t2641)))) % 53.50/53.73 (assume @p2094 (forall @t96 (=> @t2658 (tptp.hBOOL (tptp.hAPP @t1159 @t2667))))) % 53.50/53.73 (assume @p2095 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t2668)) @t2066)) % 53.50/53.73 (assume @p2096 (forall @t2669 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t8 @t1683 @t2638 @t2077) @t1683))) % 53.50/53.73 (assume @p2097 (forall @t2657 (=> @t2656 (=> (not (= (tptp.hAPP @t1146 @t2653) @t1322)) @t2658)))) % 53.50/53.73 (assume @p2098 (forall @t135 (=> @t814 (=> @t335 (= @t2670 (tptp.hAPP (tptp.hAPP @t534 @t2659) @t25)))))) % 53.50/53.73 (assume @p2099 (tptp.c_Nat__Transfer_Ois__nat @t2172)) % 53.50/53.73 (assume @p2100 (forall (@list @t152 @t658 @t97) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t97 @t658) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t152 @t658)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t152) @t97)) (exists @t2294 (= @t97 (tptp.hAPP @t830 (tptp.hAPP @t749 @t2293)))))))) % 53.50/53.73 (assume @p2101 (forall (@list @t972 @t178 @t2671) (=> (forall @t1419 (=> (tptp.hBOOL (tptp.hAPP @t2649 @t2671)) (=> @t1417 (tptp.hBOOL (tptp.hAPP @t178 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2672 @t2671)))))) (=> (tptp.hBOOL (tptp.hAPP @t178 @t972)) (=> (tptp.hBOOL (tptp.hAPP @t977 @t2671)) @t1370))))) % 53.50/53.73 (assume @p2102 (forall @t2674 (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t1060 @t1788)) @t2673)) (tptp.hBOOL (tptp.hAPP @t334 (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t1788)))))) % 53.50/53.73 (assume @p2103 (forall @t54 (tptp.hBOOL (tptp.hAPP @t2651 @t48)))) % 53.50/53.73 (assume @p2104 (forall (@list @t461 @t171 @t25 @t8) (=> @t2675 (=> @t1047 @t1044)))) % 53.50/53.73 (assume @p2105 (forall @t96 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t2652) @t30))) % 53.50/53.73 (assume @p2106 (tptp.c_Nat__Transfer_Ois__nat @t1711)) % 53.50/53.73 (assume @p2107 (forall @t96 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t1049) @t2651))) % 53.50/53.73 (assume @p2108 (forall @t708 (=> @t2677 (=> @t2676 (tptp.c_Nat__Transfer_Ois__nat @t1839))))) % 53.50/53.73 (assume @p2109 (forall @t1715 (tptp.c_Nat__Transfer_Ois__nat @t1855))) % 53.50/53.73 (assume @p2110 (tptp.c_Nat__Transfer_Ois__nat @t1708)) % 53.50/53.73 (assume @p2111 (forall @t708 (=> @t2677 (=> @t2676 (tptp.c_Nat__Transfer_Ois__nat @t1836))))) % 53.50/53.73 (assume @p2112 (forall (@list @t25 @t33 @t8) (=> @t814 (= (tptp.hBOOL (tptp.hAPP @t1267 @t2670)) @t1531)))) % 53.50/53.73 (assume @p2113 (forall (@list @t13 @t1067 @t8) (=> @t1069 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t1067)) @t13)) (exists @t7 (and @t1068 (tptp.hBOOL (tptp.hAPP @t1676 @t13)))))))) % 53.50/53.73 (assume @p2114 (forall @t708 (=> @t2677 (=> @t2676 (tptp.c_Nat__Transfer_Ois__nat @t2284))))) % 53.50/53.73 (assume @p2115 (forall @t708 (=> @t2677 (=> @t2676 (tptp.c_Nat__Transfer_Ois__nat @t2269))))) % 53.50/53.73 (assume @p2116 (forall @t96 (=> @t814 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t2651) @t47)))) % 53.50/53.73 (assume @p2117 (forall @t2382 (=> @t2677 (tptp.c_Nat__Transfer_Ois__nat @t2380)))) % 53.50/53.73 (assume @p2118 (forall @t708 (=> @t2677 (=> @t2676 (tptp.c_Nat__Transfer_Ois__nat @t1901))))) % 53.50/53.73 (assume @p2119 (forall @t139 (=> @t1053 @t2680))) % 53.50/53.73 (assume @p2120 (forall @t139 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1051 @t88) @t25)) (tptp.hBOOL (tptp.hAPP @t2679 @t2681))))) % 53.50/53.73 (assume @p2121 (forall @t252 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t1055) (tptp.hAPP (tptp.hAPP @t486 @t13) @t2681)))) % 53.50/53.73 (assume @p2122 (forall @t1929 (= @t2682 @t1928))) % 53.50/53.73 (assume @p2123 (forall @t56 (=> @t814 (=> @t149 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t2670) @t48)))))) % 53.50/53.73 (assume @p2124 (forall @t116 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t1058) (tptp.hAPP (tptp.hAPP @t486 @t2678) @t2681)))) % 53.50/53.73 (assume @p2125 (forall @t14 (=> @t814 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t45) @t13)))) % 53.50/53.73 (assume @p2126 (forall @t96 (=> @t814 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t30) @t2659)))) % 53.50/53.73 (assume @p2127 (forall @t31 (=> @t814 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t28) (tptp.hAPP @t537 @t2670))))) % 53.50/53.73 (assume @p2128 (forall @t116 (= @t488 (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t1056)))) % 53.50/53.73 (assume @p2129 (tptp.c_Nat__Transfer_Ois__nat @t2053)) % 53.50/53.73 (assume @p2130 (forall @t116 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP (tptp.hAPP @t83 @t2678) @t2681)) (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t1063))))) % 53.50/53.73 (assume @p2131 (forall @t46 (=> @t814 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t42) @t544)))) % 53.50/53.73 (assume @p2132 (forall @t116 (=> @t814 (=> @t335 (= (tptp.hAPP (tptp.hAPP @t528 @t88) @t2670) (tptp.hAPP (tptp.hAPP @t534 @t88) @t25)))))) % 53.50/53.73 (assume @p2133 (forall @t135 (=> @t814 (=> @t335 (=> @t68 (= @t637 @t2670)))))) % 53.50/53.73 (assume @p2134 (forall (@list @t676 @t2 @t672 @t673) (=> (forall @t1419 (=> (and @t2683 @t2650) @t2648)) (=> @t675 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t2684) @t676)) (=> @t2645 (exists @t1419 (and @t2683 @t2643 @t2642)))))))) % 53.50/53.73 (assume @p2135 (forall (@list @t730 @t200) (and (=> @t2690 (= @t2686 @t2061)) (=> (not @t2690) (= @t2686 (tptp.hAPP (tptp.hAPP @t2685 @t2061) (tptp.c_Random_Olog @t200 (tptp.hAPP (tptp.hAPP @t2537 @t730) @t200)))))))) % 53.50/53.73 (assume @p2136 (forall @t295 (=> @t2204 (= @t197 @t2215)))) % 53.50/53.73 (assume @p2137 (forall @t690 (= @t2691 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t658) @t662)))) % 53.50/53.73 (assume @p2138 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t2078)) % 53.50/53.73 (assume @p2139 (forall (@list @t1309 @t740 @t726) (and (=> @t2693 (= @t2692 (tptp.hAPP (tptp.hAPP @t2078 (tptp.hAPP (tptp.hAPP @t2685 @t1309) @t726)) @t740))) (=> @t2694 (= @t2692 (tptp.hAPP (tptp.hAPP @t2078 @t726) @t740)))))) % 53.50/53.73 (assume @p2140 (forall (@list @t726 @t1132) (and (=> @t2696 (= @t2695 @t2061)) (=> (not @t2696) (= @t2695 (tptp.hAPP (tptp.hAPP @t2685 @t726) @t2061)))))) % 53.50/53.73 (assume @p2141 (forall @t116 (=> (forall @t1541 (=> (tptp.hBOOL (tptp.hAPP @t1538 @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t1537) @t88)))) (=> (not (= @t25 @t1049)) @t2680)))) % 53.50/53.73 (assume @p2142 (forall @t1061 (=> (forall @t1541 (=> @t1539 @t1540)) @t2675))) % 53.50/53.73 (assume @p2143 (forall @t1764 (=> @t2704 (and (=> @t2701 (= @t2699 (tptp.hAPP @t2703 @t2700))) (=> (not @t2701) (= @t2699 (tptp.hAPP @t2698 (tptp.c_Divides_OnegDivAlg @t1708 @t2697)))))))) % 53.50/53.73 (assume @p2144 (forall @t2707 (= (tptp.c_Nat_Onat_Onat__size @t2706) (tptp.hAPP (tptp.hAPP @t796 (tptp.c_Nat_Onat_Onat__size @t2705)) @t1322)))) % 53.50/53.73 (assume @p2145 (forall (@list @t1088 @t1937) (and (=> @t2715 (= @t2714 @t1934)) (=> (not @t2715) (= @t2714 (tptp.hAPP (tptp.hAPP @t2713 (tptp.hAPP @t1698 (tptp.hAPP (tptp.hAPP @t1617 @t1088) (tptp.hAPP @t2062 @t1937)))) @t2712)))))) % 53.50/53.73 (assume @p2146 (forall @t2640 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t8 @t1683 @t2638 @t2627) (tptp.hAPP @t2639 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t8 @t1683 @t2638 @t2626))))) % 53.50/53.73 (assume @p2147 (forall @t2720 (=> @t2003 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 (tptp.hAPP @t2001 @t2719)) @t2718))))) % 53.50/53.73 (assume @p2148 (forall @t2720 (=> @t2003 (tptp.hBOOL (tptp.hAPP @t1236 @t2718))))) % 53.50/53.73 (assume @p2149 (forall @t2720 (=> (and @t1224 @t1451) (= (tptp.hAPP @t2612 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t49 tptp.tc_Int_Oint) @t2) @t25)) (tptp.hAPP (tptp.hAPP @t1222 @t2721) @t25))))) % 53.50/53.73 (assume @p2150 (forall @t2720 (=> @t1451 (= (tptp.hAPP @t2612 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t49 tptp.tc_Int_Oint) @t2) @t25)) (tptp.hAPP (tptp.hAPP @t1314 @t2721) @t25))))) % 53.50/53.73 (assume @p2151 (forall @t2720 (=> @t426 (= (tptp.hAPP (tptp.hAPP @t1314 (tptp.hAPP (tptp.hAPP @t2716 @t2086) @t2)) @t25) (tptp.hAPP @t2086 @t2719))))) % 53.50/53.73 (assume @p2152 (forall (@list @t1 @t2 @t49 @t8) (= @t949 (tptp.c_Finite__Set_Ofold @t49 @t8 @t2724)))) % 53.50/53.73 (assume @p2153 (forall @t2728 (=> @t1224 (= (tptp.hAPP (tptp.hAPP @t1222 (tptp.hAPP (tptp.hAPP @t2727 @t2726) @t1)) @t25) (tptp.hAPP (tptp.hAPP @t465 @t2725) (tptp.hAPP @t1223 @t25)))))) % 53.50/53.73 (assume @p2154 (forall @t2730 (=> @t1224 (= (tptp.hAPP (tptp.hAPP @t1222 (tptp.hAPP @t2729 @t641)) @t25) @t641)))) % 53.50/53.73 (assume @p2155 (forall @t2732 (=> @t1490 (= (tptp.hAPP (tptp.hAPP @t1437 @t2719) @t2067) (tptp.hAPP (tptp.hAPP @t1314 (tptp.hAPP (tptp.hAPP @t2731 (tptp.hAPP (tptp.hAPP @t2723 @t1437) @t2)) @t2067)) @t25))))) % 53.50/53.73 (assume @p2156 (forall @t54 (= (tptp.hBOOL (tptp.hAPP @t30 @t48)) (tptp.hBOOL (tptp.hAPP @t148 @t30))))) % 53.50/53.73 (assume @p2157 (forall @t2737 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t83 @t2736) @t2735) @t48)) (tptp.hBOOL (tptp.hAPP @t148 (tptp.hAPP (tptp.hAPP @t83 @t2733) @t1067)))))) % 53.50/53.73 (assume @p2158 (forall @t2737 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t486 @t2736) @t2735) @t48)) (tptp.hBOOL (tptp.hAPP @t148 (tptp.hAPP (tptp.hAPP @t486 @t2733) @t1067)))))) % 53.50/53.73 (assume @p2159 (forall @t2746 (= @t2745 (tptp.hBOOL (tptp.hAPP @t2743 @t2738))))) % 53.50/53.73 (assume @p2160 (forall @t2756 (=> @t1316 (= @t2755 (tptp.hAPP (tptp.hAPP @t2749 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1685 @t80 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t50 (tptp.tc_fun @t80 @t8) @t1685) @t1314) @t2748)) @t25)) @t88))))) % 53.50/53.73 (assume @p2161 (forall @t2759 (=> @t233 (tptp.c_Finite__Set_Ofun__left__comm__idem @t1685 @t49 @t2758)))) % 53.50/53.73 (assume @p2162 (forall @t2759 (=> @t633 (tptp.c_Finite__Set_Ofun__left__comm @t1685 @t49 @t2758)))) % 53.50/53.73 (assume @p2163 (forall @t2761 (= (= @t2736 @t2735) @t2760))) % 53.50/53.73 (assume @p2164 (forall @t2768 (= (= @t2767 @t2766) @t2760))) % 53.50/53.73 (assume @p2165 (forall @t2771 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2770 @t2767) @t2766) @t48) @t57)) (tptp.hBOOL (tptp.hAPP @t2743 (tptp.hAPP (tptp.hAPP @t2769 @t2733) @t1067)))))) % 53.50/53.73 (assume @p2166 (forall @t2771 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2773 @t2767) @t2766) @t48) @t57)) (tptp.hBOOL (tptp.hAPP @t2743 (tptp.hAPP (tptp.hAPP @t2772 @t2733) @t1067)))))) % 53.50/53.73 (assume @p2167 (forall (@list @t25 @t2 @t49 @t2067 @t8) (=> @t2775 (= (tptp.hAPP @t2774 @t2719) (tptp.hAPP (tptp.hAPP @t1314 (tptp.hAPP (tptp.hAPP @t2716 @t2774) @t2)) @t25))))) % 53.50/53.73 (assume @p2168 (forall @t2732 (=> @t2775 (= (tptp.hAPP @t2777 @t2067) (tptp.hAPP (tptp.hAPP @t1314 (tptp.hAPP @t2776 @t2067)) @t25))))) % 53.50/53.73 (assume @p2169 (forall (@list @t88 @t1 @t1685 @t25 @t2 @t49 @t8) (=> @t2775 (= (tptp.hAPP @t2777 (tptp.hAPP (tptp.hAPP @t2749 @t1) @t88)) (tptp.hAPP (tptp.hAPP @t1314 (tptp.hAPP (tptp.hAPP @t2754 (tptp.hAPP @t2753 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 @t2751 @t2751) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2722 (tptp.tc_fun @t2751 @t2751) @t49) (tptp.c_COMBB @t8 @t8 @t1685)) @t2726)) @t1))) @t88)) @t25))))) % 53.50/53.73 (assume @p2170 (forall @t2781 (= (tptp.hAPP @t1853 @t1116) @t2780))) % 53.50/53.73 (assume @p2171 (forall @t2720 (=> @t1466 (= (tptp.hAPP @t2001 @t2725) (tptp.hAPP (tptp.hAPP @t1222 @t2717) @t25))))) % 53.50/53.73 (assume @p2172 (forall @t2720 (=> @t2003 (= (tptp.hAPP @t2001 @t2718) @t2718)))) % 53.50/53.73 (assume @p2173 (forall @t2730 (=> @t1316 (= (tptp.hAPP (tptp.hAPP @t1314 @t2782) @t25) @t1160)))) % 53.50/53.73 (assume @p2174 (forall @t2728 (=> @t426 (= (tptp.hAPP (tptp.hAPP @t1314 @t2784) @t25) (tptp.hAPP (tptp.hAPP @t267 @t2719) @t2783))))) % 53.50/53.73 (assume @p2175 (forall @t2781 (= (tptp.hAPP @t1853 @t2787) @t2786))) % 53.50/53.73 (assume @p2176 (forall @t2728 (=> @t1316 (= (tptp.hAPP (tptp.hAPP @t1314 @t2788) @t25) (tptp.hAPP (tptp.hAPP @t844 @t2719) @t2783))))) % 53.50/53.73 (assume @p2177 (forall @t2768 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2790 @t2767) @t2766)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2789 @t2733) @t1067))))) % 53.50/53.73 (assume @p2178 (forall @t2761 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t2736) @t2735)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t2733) @t1067))))) % 53.50/53.73 (assume @p2179 (forall @t2793 (=> @t1101 (=> @t335 (= (tptp.hAPP (tptp.hAPP @t1090 (tptp.hAPP (tptp.hAPP @t2792 (tptp.hAPP (tptp.hAPP @t2791 @t1099) @t1)) @t1153)) @t25) (tptp.hAPP @t1108 (tptp.hAPP (tptp.hAPP @t1090 @t1153) @t25))))))) % 53.50/53.73 (assume @p2180 (forall @t2793 (=> @t811 (=> @t335 (= (tptp.hAPP (tptp.hAPP @t1127 @t2794) @t25) (tptp.hAPP @t1379 (tptp.hAPP (tptp.hAPP @t1127 @t1153) @t25))))))) % 53.50/53.73 (assume @p2181 (forall @t1209 (= @t695 @t693))) % 53.50/53.73 (assume @p2182 (forall @t2036 (= @t2800 (tptp.hAPP @t2799 @t2797)))) % 53.50/53.73 (assume @p2183 (forall @t1126 (=> (tptp.class_Fields_Ofield__inverse__zero @t49) (=> @t335 (= (tptp.hAPP (tptp.hAPP @t1127 (tptp.hAPP (tptp.hAPP @t2792 (tptp.hAPP (tptp.hAPP @t2791 @t1412) @t2)) @t1)) @t25) (tptp.hAPP @t1413 @t1131)))))) % 53.50/53.73 (assume @p2184 (= (tptp.c_Nat_Onat_Onat__size @t1157) @t1157)) % 53.50/53.73 (assume @p2185 (forall @t2720 (=> @t1971 (= (tptp.hAPP @t1848 (tptp.hAPP (tptp.hAPP @t2802 @t2) @t25)) (tptp.hAPP (tptp.hAPP @t1314 @t2801) @t25))))) % 53.50/53.73 (assume @p2186 (forall @t2781 (= @t1116 (tptp.hAPP tptp.c_Int_Onat @t2780)))) % 53.50/53.73 (assume @p2187 (forall @t135 (= @t504 (tptp.hAPP (tptp.hAPP @t1113 @t2803) @t25)))) % 53.50/53.73 (assume @p2188 (forall @t2720 (=> (and @t1224 @t1971) (= (tptp.hAPP @t1848 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t49 tptp.tc_Nat_Onat) @t2) @t25)) (tptp.hAPP (tptp.hAPP @t1222 @t2801) @t25))))) % 53.50/53.73 (assume @p2189 (forall @t2781 (= @t2787 (tptp.hAPP tptp.c_Int_Onat @t2786)))) % 53.50/53.73 (assume @p2190 (forall @t2813 (=> @t1101 (=> @t1084 (and (=> @t2810 (= @t2809 @t2812)) (=> @t2811 (= @t2809 @t1162))))))) % 53.50/53.73 (assume @p2191 (forall @t2813 (=> @t1101 (=> @t1084 (and (=> @t2810 (= @t2818 @t2812)) (=> @t2811 (= @t2818 @t1162))))))) % 53.50/53.73 (assume @p2192 (forall @t2813 (=> @t811 (=> @t1084 (and (=> @t2810 (= @t2819 @t2812)) (=> @t2811 (= @t2819 @t802))))))) % 53.50/53.73 (assume @p2193 (forall @t2813 (=> @t811 (=> @t1084 (and (=> @t2810 (= @t2820 @t2812)) (=> @t2811 (= @t2820 @t802))))))) % 53.50/53.73 (assume @p2194 (forall (@list @t25 @t57 @t49 @t8) (=> @t1971 (= (tptp.hAPP (tptp.hAPP @t1314 (tptp.hAPP @t2729 @t57)) @t25) (tptp.hAPP (tptp.hAPP @t465 (tptp.hAPP @t1848 @t2821)) @t57))))) % 53.50/53.73 (assume @p2195 (forall (@list @t881 @t79 @t8) (=> @t1583 (= (tptp.hAPP @t2825 @t2800) (tptp.hAPP @t2827 @t2824))))) % 53.50/53.73 (assume @p2196 (forall @t2793 (=> @t811 (=> @t335 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t804 @t2794) @t802) @t25) (tptp.hAPP @t808 (tptp.hAPP (tptp.hAPP @t1154 @t802) @t25))))))) % 53.50/53.73 (assume @p2197 (forall (@list @t57 @t25 @t8 @t49) (=> @t811 (=> @t335 (= (tptp.hAPP (tptp.hAPP @t1127 (tptp.hAPP @t2829 @t57)) @t25) (tptp.hAPP (tptp.hAPP @t2828 @t57) @t504)))))) % 53.50/53.73 (assume @p2198 (forall @t1762 (= (tptp.hAPP @t2832 @t2800) (tptp.hAPP @t2833 (tptp.hAPP (tptp.hAPP @t2831 @t1624) @t2830))))) % 53.50/53.73 (assume @p2199 (forall @t73 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t8 @t2834) @t48)) (tptp.hBOOL (tptp.hAPP @t1123 @t2585))))) % 53.50/53.73 (assume @p2200 (forall @t2837 (=> @t1101 (=> @t335 (= @t1120 @t2836))))) % 53.50/53.73 (assume @p2201 (forall @t1638 (=> @t1583 (= (tptp.hAPP @t2838 @t2800) (tptp.hAPP @t2839 @t2824))))) % 53.50/53.73 (assume @p2202 (forall @t135 @t2840)) % 53.50/53.73 (assume @p2203 (forall @t135 (and @t2840 @t1335))) % 53.50/53.73 (assume @p2204 (forall @t96 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t29 @t2845))) % 53.50/53.73 (assume @p2205 (forall (@list @t79 @t2447) (and (=> @t2847 (= @t2846 @t2449)) (=> (not @t2847) (= @t2846 (tptp.hAPP (tptp.hAPP @t2713 (tptp.hAPP @t1770 @t2447)) @t2712)))))) % 53.50/53.73 (assume @p2206 (forall @t2120 (=> @t2608 (=> (tptp.hBOOL (tptp.hAPP @t1712 @t740)) (= (tptp.c_Divides_OnegDivAlg @t726 @t740) @t2848))))) % 53.50/53.73 (assume @p2207 (forall @t2242 (= (tptp.c_Divides_OnegDivAlg @t2595 @t200) (tptp.hAPP @t2703 @t2605)))) % 53.50/53.73 (assume @p2208 (forall (@list @t2067 @t2505 @t33) (= (tptp.hAPP @t2857 @t2856) (tptp.hAPP (tptp.hAPP @t2855 (tptp.hAPP (tptp.hAPP @t1632 @t2067) @t33)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2850 @t2850) (tptp.hAPP (tptp.hAPP @t2854 (tptp.hAPP @t2853 @t1713)) (tptp.hAPP @t2702 (tptp.hAPP (tptp.hAPP @t1617 @t2849) @t1708)))) (tptp.hAPP (tptp.hAPP @t2702 @t2849) @t2067)))))) % 53.50/53.73 (assume @p2209 (forall @t116 (=> @t335 (= @t169 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t29 @t2845) @t88) @t25))))) % 53.50/53.73 (assume @p2210 (forall @t2870 (= (= @t1934 @t692) @t2869))) % 53.50/53.73 (assume @p2211 (forall @t2871 (= (= @t692 @t1934) @t2869))) % 53.50/53.73 (assume @p2212 (forall @t2036 (and (=> @t2042 (= @t2874 @t1157)) (=> (not @t2042) (= @t2874 (tptp.hAPP @t2799 (tptp.hAPP @t2873 @t2797))))))) % 53.50/53.73 (assume @p2213 (forall @t2871 (= (tptp.hBOOL (tptp.hAPP @t2876 @t1934)) (tptp.hBOOL (tptp.hAPP @t2868 (tptp.hAPP @t2867 (tptp.hAPP @t2865 (tptp.hAPP (tptp.hAPP @t2875 @t695) tptp.c_Int_Onat)))))))) % 53.50/53.73 (assume @p2214 (forall @t2870 (= (tptp.hBOOL (tptp.hAPP @t1940 @t692)) (tptp.hBOOL (tptp.hAPP @t2868 (tptp.hAPP @t2865 (tptp.hAPP (tptp.hAPP @t2860 (tptp.hAPP (tptp.hAPP @t2859 @t506) tptp.c_Int_Onat)) @t672))))))) % 53.50/53.73 (assume @p2215 (forall @t2871 (= (tptp.hBOOL (tptp.hAPP @t693 @t1934)) (tptp.hBOOL (tptp.hAPP @t2868 (tptp.hAPP @t2867 (tptp.hAPP @t2865 (tptp.hAPP (tptp.hAPP @t2875 @t776) tptp.c_Int_Onat)))))))) % 53.50/53.73 (assume @p2216 (forall @t2870 (= (tptp.hBOOL (tptp.hAPP @t1942 @t692)) (tptp.hBOOL (tptp.hAPP @t2868 (tptp.hAPP @t2865 (tptp.hAPP (tptp.hAPP @t2860 (tptp.hAPP (tptp.hAPP @t2859 @t595) tptp.c_Int_Onat)) @t672))))))) % 53.50/53.73 (assume @p2217 (forall @t2615 (=> @t1583 (and (=> @t2878 (= @t2877 (tptp.hAPP @t2827 (tptp.hAPP (tptp.hAPP @t2823 (tptp.hAPP @t2881 @t483)) @t2822)))) (=> @t2879 (= @t2877 @t641)))))) % 53.50/53.73 (assume @p2218 (forall (@list @t32 @t33 @t13 @t1067 @t8 @t49) (=> @t811 (=> @t1084 (and (=> @t2810 (= @t2884 (tptp.hAPP (tptp.hAPP @t803 @t2812) (tptp.hAPP @t2883 (tptp.hAPP (tptp.hAPP @t541 @t2882) @t638))))) (=> @t2811 (= @t2884 (tptp.hAPP @t2883 @t2882)))))))) % 53.50/53.73 (assume @p2219 (forall @t1732 (and (=> @t2878 (= @t2885 (tptp.hAPP @t2833 (tptp.hAPP (tptp.hAPP @t2831 (tptp.hAPP (tptp.hAPP @t2887 @t1624) (tptp.hAPP @t1624 @t79))) @t2830)))) (=> @t2879 (= @t2885 @t1708))))) % 53.50/53.73 (assume @p2220 (forall @t2185 (and (=> @t2893 @t2894) (=> (not @t2893) @t2890)))) % 53.50/53.73 (assume @p2221 (forall @t2871 (= (tptp.hAPP @t2899 @t1934) (tptp.hAPP @t2898 (tptp.hAPP @t2711 (tptp.hAPP @t2897 (tptp.hAPP (tptp.hAPP @t2896 @t2895) tptp.c_Int_Onat))))))) % 53.50/53.73 (assume @p2222 (forall @t2870 (= (tptp.hAPP (tptp.hAPP @t1633 @t1934) @t692) (tptp.hAPP @t2898 (tptp.hAPP @t2711 (tptp.hAPP @t2897 (tptp.hAPP (tptp.hAPP @t2901 (tptp.hAPP (tptp.hAPP @t2900 @t1633) tptp.c_Int_Onat)) @t672))))))) % 53.50/53.73 (assume @p2223 (forall (@list @t1088 @t881 @t8) (=> @t1583 (and (=> @t2878 (= @t2902 (tptp.hAPP @t2839 (tptp.hAPP (tptp.hAPP @t2823 (tptp.hAPP @t2881 (tptp.hAPP @t465 @t1636))) @t2822)))) (=> @t2879 (= @t2902 @t641)))))) % 53.50/53.73 (assume @p2224 (forall @t2669 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t8 @t1683 @t2638 @t2077) @t1683))) % 53.50/53.73 (assume @p2225 (forall @t2266 (=> @t2279 (and (=> @t2892 @t2894) (=> (not @t2892) @t2890))))) % 53.50/53.73 (assume @p2226 (forall @t1704 (=> @t2908 (and (=> @t2907 (= @t2905 (tptp.hAPP @t2703 @t2906))) (=> (not @t2907) (= @t2905 (tptp.hAPP @t2904 (tptp.c_Divides_OnegDivAlg @t1702 @t2903)))))))) % 53.50/53.73 (assume @p2227 (forall @t2276 @t2916)) % 53.50/53.73 (assume @p2228 (forall @t2928 (= (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t2927) (tptp.hAPP @t2926 (tptp.hAPP (tptp.hAPP @t2924 (tptp.hAPP @t2923 (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t672))) (tptp.hAPP @t2919 @t2917)))))) % 53.50/53.73 (assume @p2229 (forall @t1764 (=> @t2704 (and (=> @t2930 (= @t2929 @t2914)) (=> (not @t2930) (= @t2929 (tptp.hAPP @t2698 (tptp.c_Divides_OposDivAlg @t1708 @t2697)))))))) % 53.50/53.73 (assume @p2230 (forall @t2185 (and (=> @t2933 @t2934) (=> (not @t2933) @t2932)))) % 53.50/53.73 (assume @p2231 (forall @t2938 (=> @t2937 (=> (not @t2936) @t2935)))) % 53.50/53.73 (assume @p2232 (forall (@list @t49 @t8 @t25 @t57 @t48 @t88) (=> (=> @t2939 @t2936) @t2937))) % 53.50/53.73 (assume @p2233 (forall (@list @t49 @t8 @t88 @t57 @t48 @t25) (=> @t2936 (=> @t2935 @t2940)))) % 53.50/53.73 (assume @p2234 (forall @t2938 (=> @t2940 (not (=> @t2936 @t2939))))) % 53.50/53.73 (assume @p2235 (forall @t2746 (not @t2745))) % 53.50/53.73 (assume @p2236 (forall (@list @t305 @t49 @t8 @t57 @t48 @t178) (=> @t2943 (=> @t2942 @t2941)))) % 53.50/53.73 (assume @p2237 (forall (@list @t57 @t48 @t305 @t178 @t49 @t8) (=> @t2942 (=> @t2943 @t2941)))) % 53.50/53.73 (assume @p2238 (forall (@list @t88 @t8 @t25) (=> (= @t25 @t2947) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 @t25) @t88))))) % 53.50/53.73 (assume @p2239 (forall @t2938 (=> @t2940 @t2936))) % 53.50/53.73 (assume @p2240 (forall @t2938 (=> @t2940 @t2935))) % 53.50/53.73 (assume @p2241 (forall (@list @t88 @t49 @t8 @t57 @t48 @t25) (=> @t2936 @t2937))) % 53.50/53.73 (assume @p2242 (forall (@list @t25 @t49 @t8 @t57 @t48 @t88) (=> @t2935 @t2937))) % 53.50/53.73 (assume @p2243 (forall @t2669 (= (tptp.c_Nat_Onat_Onat__case @t8 @t1683 @t2638 @t1157) @t1683))) % 53.50/53.73 (assume @p2244 (forall @t2949 (= (tptp.c_Nat_Onat_Onat__case @t8 @t1683 @t2638 @t711) @t2948))) % 53.50/53.73 (assume @p2245 (forall @t2242 (= (tptp.c_Divides_OposDivAlg @t1711 @t200) @t2950))) % 53.50/53.73 (assume @p2246 (forall @t701 (= @t789 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t698 @t672))))) % 53.50/53.73 (assume @p2247 (forall @t701 (= (tptp.hAPP @t679 @t692) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1157 @t2795 @t1342)))) % 53.50/53.73 (assume @p2248 (forall @t697 (= (tptp.hAPP @t2899 @t673) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1157 (tptp.hAPP @t2873 @t2895) @t673)))) % 53.50/53.73 (assume @p2249 (forall @t701 (= (tptp.hAPP (tptp.hAPP @t1633 @t673) @t692) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1157 (tptp.hAPP @t2873 (tptp.hAPP (tptp.hAPP @t2951 @t1633) @t672)) @t673)))) % 53.50/53.73 (assume @p2250 (forall @t2120 (=> (tptp.hBOOL (tptp.hAPP @t1713 @t726)) (=> @t2364 (= (tptp.c_Divides_OposDivAlg @t726 @t740) @t2848))))) % 53.50/53.73 (assume @p2251 (forall @t2954 (= (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t1934) (tptp.hAPP @t2926 (tptp.hAPP @t2953 @t2952))))) % 53.50/53.73 (assume @p2252 (forall @t2266 (=> @t2279 (and (=> @t2326 @t2934) (=> (not @t2326) @t2932))))) % 53.50/53.73 (assume @p2253 (forall @t1704 (=> @t2908 (and (=> @t2957 (= @t2955 (tptp.hAPP @t2913 @t1702))) (=> (not @t2957) (= @t2955 (tptp.hAPP @t2904 (tptp.c_Divides_OposDivAlg @t1702 @t2903)))))))) % 53.50/53.73 (assume @p2254 (forall (@list @t57 @t48 @t2733 @t49 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t8 @t49 @t2733) @t48) @t57)) (tptp.hBOOL (tptp.hAPP @t2743 @t2733))))) % 53.50/53.73 (assume @p2255 (forall @t690 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t658 @t662) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t2959) @t2958)))) % 53.50/53.73 (assume @p2256 (forall @t2068 (= (tptp.c_Nitpick_Orefl_H @t8 @t2067) (forall @t7 @t2965)))) % 53.50/53.73 (assume @p2257 (forall (@list @t33) (= @t2857 (tptp.hAPP @t2975 (tptp.hAPP (tptp.hAPP @t2974 (tptp.hAPP @t2973 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2909 @t2972 tptp.tc_Int_Oint) (tptp.hAPP @t2854 (tptp.hAPP @t2853 (tptp.hAPP (tptp.hAPP @t2971 @t1713) @t2967)))) (tptp.hAPP (tptp.hAPP @t2970 (tptp.hAPP @t2969 (tptp.hAPP @t2910 (tptp.hAPP (tptp.hAPP @t2966 (tptp.hAPP @t2968 @t2178)) @t1708)))) @t2967)))) (tptp.hAPP @t2910 @t2178)))))) % 53.50/53.73 (assume @p2258 (forall @t2985 (=> @t1451 (and (=> @t2334 (= @t2983 @t1160)) (=> @t2984 (and (=> @t2312 (= @t2983 (tptp.hAPP @t2086 (tptp.hAPP @t2612 (tptp.hAPP @t2062 @t676))))) (=> (not @t2312) (= @t2983 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2982 @t2981) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2980 (tptp.tc_fun @t2982 @t2981) tptp.tc_Int_Oint) (tptp.c_COMBB @t2722 @t8 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t2980 tptp.tc_Int_Oint) @t2826) @t2612))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2722 @t2722) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2921 (tptp.tc_fun @t2722 @t2722) tptp.tc_Int_Oint) @t2823) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2722 @t2921) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2921 (tptp.tc_fun @t2722 @t2921) tptp.tc_Int_Oint) @t2880) (tptp.hAPP @t2922 @t2979))) @t2976))) (tptp.hAPP (tptp.hAPP @t2977 (tptp.hAPP (tptp.hAPP @t2880 @t844) @t2976)) @t641)))) (tptp.c_Divides_Odivmod__int @t676 @t2172)))))))))) % 53.50/53.73 (assume @p2259 (forall @t690 (=> @t1203 (=> @t689 (= @t2987 (tptp.hAPP (tptp.hAPP @t2986 @t2485) @t2451)))))) % 53.50/53.73 (assume @p2260 (forall @t2928 (= (tptp.hAPP @t2988 @t2927) (tptp.hAPP @t2926 (tptp.hAPP (tptp.hAPP @t2924 (tptp.hAPP @t2923 (tptp.hAPP @t2988 @t672))) (tptp.hAPP (tptp.hAPP @t2924 (tptp.hAPP @t2990 @t2917)) (tptp.hAPP @t2989 @t2917))))))) % 53.50/53.73 (assume @p2261 (forall @t1889 (=> @t1971 (= @t1849 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 (tptp.hAPP (tptp.hAPP @t2977 @t844) @t641) @t672 @t1160))))) % 53.50/53.73 (assume @p2262 (forall @t2669 (= (tptp.hAPP @t2991 @t1157) @t1683))) % 53.50/53.73 (assume @p2263 (forall @t2949 (= (tptp.hAPP @t2991 @t711) (tptp.hAPP @t2948 (tptp.hAPP @t2991 @t710))))) % 53.50/53.73 (assume @p2264 (forall @t725 (= (tptp.c_Divides_Odivmod__nat @t662 @t1157) @t2993))) % 53.50/53.73 (assume @p2265 (forall (@list @t972 @t2994 @t8) (=> @t1971 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2994 @t1157 @t972) @t972)))) % 53.50/53.73 (assume @p2266 (forall (@list @t972 @t672 @t2994 @t8) (=> @t1971 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2994 @t692 @t972) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2994 @t672 (tptp.hAPP @t2994 @t972)))))) % 53.50/53.73 (assume @p2267 (forall @t668 (=> @t667 (= @t2987 @t2993)))) % 53.50/53.73 (assume @p2268 (forall @t668 (= @t2987 @t2995))) % 53.50/53.73 (assume @p2269 (forall (@list @t1801 @t2413) (= (tptp.c_Divides_Odivmod__int @t2413 @t1801) (tptp.hAPP (tptp.hAPP @t2702 (tptp.hAPP (tptp.hAPP @t2195 @t2413) @t1801)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2413 @t1801))))) % 53.50/53.73 (assume @p2270 (forall @t2954 (= (tptp.hAPP @t2988 @t1934) (tptp.hAPP @t2926 (tptp.hAPP @t2953 (tptp.hAPP (tptp.hAPP @t2924 (tptp.hAPP @t2990 tptp.c_Int_Onat)) (tptp.hAPP @t2989 tptp.c_Int_Onat))))))) % 53.50/53.73 (assume @p2271 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t2999 (tptp.hAPP (tptp.hAPP @t2998 (tptp.hAPP @t2864 (tptp.hAPP @t2866 @t1712))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2996) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2997 @t2997 tptp.tc_Int_Oint) @t2978) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2886 @t2997 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2996 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t1708))))) % 53.50/53.73 (assume @p2272 (forall @t2185 (and (=> @t2194 (and (=> @t3004 (= @t3001 @t2931)) (=> (not @t3004) (and (=> @t2282 (= @t3001 @t2950)) (=> @t2283 (= @t3001 @t3003)))))) (=> (not @t2194) (and (=> @t2279 (= @t3001 @t2889)) (=> @t3002 (= @t3001 @t3000))))))) % 53.50/53.73 (assume @p2273 (forall @t1701 (and @t3013 (=> @t2984 (and @t3012 (=> @t3011 (= @t3009 (tptp.hAPP @t3008 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2851 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t1712 @t1695)) @t1980)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t1604 @t1695) @t1711)) @t2311))) @t3005) @t3006))))))))) % 53.50/53.73 (assume @p2274 (forall @t3015 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t197 @t200) @t3014)) (=> (tptp.hBOOL (tptp.hAPP @t1159 @t200)) (=> @t2496 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t197 @t2395) (tptp.hAPP (tptp.hAPP @t2986 (tptp.hAPP (tptp.hAPP @t2384 @t1801) @t196)) @t2495)))))))) % 53.50/53.73 (assume @p2275 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t2062))) % 53.50/53.73 (assume @p2276 (forall (@list @t3016 @t3017 @t658 @t662) (=> @t3019 (=> (tptp.hBOOL (tptp.hAPP @t3018 @t3016)) (= @t3017 @t3016))))) % 53.50/53.73 (assume @p2277 (forall (@list @t3017 @t658 @t662) (=> @t3019 (= @t2987 @t3017)))) % 53.50/53.73 (assume @p2278 (forall @t668 (tptp.hBOOL (tptp.hAPP @t3018 @t2987)))) % 53.50/53.73 (assume @p2279 (forall @t3021 (=> @t3020 (= @t2399 @t1309)))) % 53.50/53.73 (assume @p2280 (forall @t3021 (=> @t3020 (= @t2397 @t1801)))) % 53.50/53.73 (assume @p2281 (forall (@list @t1309 @t1801) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t3023) (tptp.hAPP @t3022 (tptp.hAPP @t2062 @t1309))))) % 53.50/53.73 (assume @p2282 (forall @t668 (tptp.hBOOL (tptp.hAPP @t3018 @t2995)))) % 53.50/53.73 (assume @p2283 (forall @t3030 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t197 @t196) (tptp.hAPP (tptp.hAPP @t2986 @t3028) @t3025))) (=> (tptp.hBOOL (tptp.hAPP @t3029 (tptp.hAPP (tptp.hAPP @t2986 @t3027) @t3024))) (=> @t2496 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t2387 @t196) (tptp.hAPP (tptp.hAPP @t2986 (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t796 @t3028) @t3027)) (tptp.hAPP (tptp.hAPP @t2384 @t3026) @t196))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3026 @t196))))))))) % 53.50/53.73 (assume @p2284 (forall @t2120 (= @t3033 (tptp.hAPP (tptp.hAPP @t2702 (tptp.hAPP (tptp.hAPP @t2195 @t3032) @t3031)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3032 @t3031))))) % 53.50/53.73 (assume @p2285 (forall @t2367 (and (=> @t3034 (= @t3033 (tptp.hAPP @t2913 @t3032))) (=> (not @t3034) (= @t3033 (tptp.c_Divides_OposDivAlg @t3032 @t3031)))))) % 53.50/53.73 (assume @p2286 (forall @t1701 (and @t3013 (=> @t2984 (and @t3012 (=> @t3011 (= @t3009 (tptp.hAPP @t3008 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2851 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t676)) @t3007)) @t3005) @t3006))))))))) % 53.50/53.73 (assume @p2287 (forall @t3036 (=> (tptp.hBOOL (tptp.hAPP @t3029 @t3014)) (=> @t2496 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t2391 @t196) (tptp.hAPP (tptp.hAPP @t2986 (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t2390 @t1801)) (tptp.hAPP (tptp.hAPP @t2384 @t3035) @t196))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3035 @t196)))))))) % 53.50/53.73 (assume @p2288 (forall (@list @t49 @t8 @t33 @t13 @t2) (=> @t3042 @t3040))) % 53.50/53.73 (assume @p2289 (forall (@list @t49 @t8 @t33 @t13 @t1683) (=> (tptp.hBOOL @t1684) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3039 @t1683) @t3038))))) % 53.50/53.73 (assume @p2290 (forall @t2329 (=> (tptp.hBOOL (tptp.hAPP @t3050 @t3049)) (and (=> @t3048 (= @t3044 (tptp.hAPP @t2703 @t3047))) (=> (not @t3048) (= @t3044 (tptp.hAPP @t2857 (tptp.c_Divides_OnegDivAlg @t13 @t3043)))))))) % 53.50/53.73 (assume @p2291 (forall @t96 (=> @t374 (= (tptp.c_Orderings_Oord_Omax @t8 @t3051) @t1545)))) % 53.50/53.73 (assume @p2292 (forall @t3055 (= @t3054 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t3053 @t13)) (tptp.hBOOL (tptp.hAPP @t3052 @t3))))))) % 53.50/53.73 (assume @p2293 (forall (@list @t13 @t33 @t2067 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3052 @t33)) (=> @t3056 @t3054)))) % 53.50/53.73 (assume @p2294 (forall @t3061 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3060 @t3057) @t3058)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.c_Wellfounded_Oaccp @t8 @t3058)) (tptp.c_Wellfounded_Oaccp @t8 @t3057)))))) % 53.50/53.73 (assume @p2295 (forall (@list @t1811 @t2225 @t200 @t197 @t8 @t98) (=> (= @t3063 (tptp.hAPP (tptp.hAPP @t3062 @t2225) @t1811)) (not (=> (= @t197 @t2225) (not (= @t200 @t1811))))))) % 53.50/53.73 (assume @p2296 (forall @t1557 (= (= @t3038 @t3064) @t1556))) % 53.50/53.73 (assume @p2297 (forall (@list @t49 @t8 @t178) (= @t2443 (forall @t3066 (tptp.hBOOL (tptp.hAPP @t178 @t3065)))))) % 53.50/53.73 (assume @p2298 (forall (@list @t32 @t1685 @t49 @t8 @t2505 @t2671) (=> (= @t2671 @t2505) (= (tptp.hAPP @t3068 @t2671) (tptp.hAPP @t3068 @t2505))))) % 53.50/53.73 (assume @p2299 (forall @t1687 (= (tptp.hAPP (tptp.hAPP @t3071 @t1683) @t3070) @t1684))) % 53.50/53.73 (assume @p2300 (forall @t3073 (= (tptp.hAPP @t3072 @t3070) @t3041))) % 53.50/53.73 (assume @p2301 (forall @t3074 (=> @t3040 @t3042))) % 53.50/53.73 (assume @p2302 (forall (@list @t57 @t48 @t2 @t8 @t49 @t1685) (= (tptp.hAPP @t3077 @t3076) (tptp.hAPP @t2740 @t643)))) % 53.50/53.73 (assume @p2303 (forall @t3079 (= (tptp.hAPP @t3067 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2764 @t3078 @t8) (tptp.hAPP (tptp.c_COMBB @t2660 @t1685 @t49) @t2)) @t2739)) @t2))) % 53.50/53.73 (assume @p2304 (forall (@list @t2671 @t1 @t3080 @t3082 @t2 @t8 @t1685 @t49) (= (tptp.hAPP @t3072 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3082 @t3080 @t3081) @t1) @t2671)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3082 @t3080 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t3080 @t3081) (tptp.tc_fun @t3080 @t8) @t3082) (tptp.hAPP (tptp.c_COMBB @t3081 @t8 @t3080) @t3072)) @t1)) @t2671)))) % 53.50/53.73 (assume @p2305 (forall @t2329 (=> (tptp.hBOOL (tptp.hAPP @t3085 @t3049)) (and (=> @t3084 (= @t3083 (tptp.hAPP @t2913 @t13))) (=> (not @t3084) (= @t3083 (tptp.hAPP @t2857 (tptp.c_Divides_OposDivAlg @t13 @t3043)))))))) % 53.50/53.73 (assume @p2306 (forall @t2329 (=> (tptp.hBOOL (tptp.hAPP @t3086 @t3049)) @t2916))) % 53.50/53.73 (assume @p2307 (forall @t3095 (=> (tptp.hBOOL (tptp.hAPP @t3050 @t3094)) (=> (forall @t3066 (=> (tptp.hBOOL (tptp.hAPP @t3050 @t3093)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t1713 (tptp.hAPP (tptp.hAPP @t1617 @t440) @t1391))) @t3092)) @t3091) @t3090))) @t3088)))) % 53.50/53.73 (assume @p2308 (forall @t3015 (=> @t3097 (=> @t2265 (=> @t2257 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t197 @t2256) (tptp.hAPP (tptp.hAPP @t2702 (tptp.hAPP (tptp.hAPP @t2195 @t1801) @t196)) @t2354)))))))) % 53.50/53.73 (assume @p2309 (forall (@list @t1685 @t49 @t33 @t13 @t32 @t79 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3099 @t3100)) (tptp.hBOOL (tptp.hAPP @t3099 (tptp.hAPP @t3098 @t3070)))))) % 53.50/53.73 (assume @p2310 (forall (@list @t32 @t33 @t13 @t2733 @t1685 @t49 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3101 @t2733) @t3038) @t32)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2733 @t13) @t33) @t32))))) % 53.50/53.73 (assume @p2311 (forall @t2242 (=> @t2265 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1711 @t200) @t2950))))) % 53.50/53.73 (assume @p2312 (forall @t3103 (=> @t3102 (=> @t2283 (= @t1309 @t1711))))) % 53.50/53.73 (assume @p2313 (forall @t3105 (=> @t3097 (=> @t3104 (=> @t2265 (= @t1801 @t1810)))))) % 53.50/53.73 (assume @p2314 (forall @t3105 (=> @t3097 (=> @t3104 (=> @t2265 (= @t1309 @t1813)))))) % 53.50/53.73 (assume @p2315 (forall (@list @t3017 @t200 @t197) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2245 @t2244) @t3017)) (tptp.hBOOL (tptp.hAPP @t3096 (tptp.hAPP tptp.c_Divides_OnegateSnd @t3017)))))) % 53.50/53.73 (assume @p2316 (forall @t2266 (=> @t2265 (tptp.hBOOL (tptp.hAPP @t3096 @t3001))))) % 53.50/53.73 (assume @p2317 (forall @t3103 (=> @t3102 (=> @t2283 (= @t1801 @t1708))))) % 53.50/53.73 (assume @p2318 (forall @t3106 (=> @t3097 (=> @t2265 (= @t2201 @t1309))))) % 53.50/53.73 (assume @p2319 (forall @t3106 (=> @t3097 (=> @t2265 (= @t2217 @t1801))))) % 53.50/53.73 (assume @p2320 (forall @t2185 (=> @t2281 (=> @t2279 (tptp.hBOOL (tptp.hAPP @t3096 @t2889)))))) % 53.50/53.73 (assume @p2321 (forall @t2266 (=> @t2265 (tptp.hBOOL (tptp.hAPP @t3096 (tptp.hAPP (tptp.hAPP @t2702 @t2217) @t2201)))))) % 53.50/53.73 (assume @p2322 (forall @t2185 (=> @t2194 (=> @t2279 (tptp.hBOOL (tptp.hAPP @t3096 @t2931)))))) % 53.50/53.73 (assume @p2323 (forall @t3030 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t197 @t196) (tptp.hAPP (tptp.hAPP @t2702 @t3028) @t3025))) (=> (tptp.hBOOL (tptp.hAPP @t3109 (tptp.hAPP (tptp.hAPP @t2702 @t3027) @t3024))) (=> @t3108 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2211 @t196) (tptp.hAPP (tptp.hAPP @t2702 (tptp.hAPP (tptp.hAPP @t1617 (tptp.hAPP (tptp.hAPP @t1617 @t3028) @t3027)) (tptp.hAPP (tptp.hAPP @t2195 @t3107) @t196))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3107 @t196))))))))) % 53.50/53.73 (assume @p2324 (forall (@list @t2067 @t2505 @t33 @t13) (=> (tptp.hBOOL (tptp.hAPP @t3112 @t2856)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2915 @t33) (tptp.hAPP (tptp.hAPP @t2702 (tptp.hAPP (tptp.hAPP @t3110 @t3111) (tptp.hAPP (tptp.hAPP @t1632 @t3111) @t1708))) (tptp.hAPP (tptp.hAPP @t3110 @t1711) (tptp.hAPP (tptp.hAPP @t1632 @t33) @t2067)))))))) % 53.50/53.73 (assume @p2325 (forall @t697 (and (=> @t3116 (= @t3115 (tptp.hAPP @t2992 @t673))) (=> (not @t3116) (= @t3115 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3113) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3114 tptp.tc_Nat_Onat) @t2986) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t1342 @t672))))))) % 53.50/53.73 (assume @p2326 (forall @t3106 (=> (= @t197 @t1825) (=> (and (=> @t2279 (and @t1809 @t1823)) (=> @t3002 (and @t1833 @t1834))) @t3097)))) % 53.50/53.73 (assume @p2327 (forall @t3036 (=> (tptp.hBOOL (tptp.hAPP @t3109 @t3023)) (=> @t3108 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2220 @t196) (tptp.hAPP (tptp.hAPP @t2702 (tptp.hAPP (tptp.hAPP @t1617 @t1804) (tptp.hAPP (tptp.hAPP @t2195 @t3117) @t196))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3117 @t196)))))))) % 53.50/53.73 (assume @p2328 (forall @t2329 (= @t3112 (tptp.hAPP @t2999 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2996 @t2996) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3119 @t3120 tptp.tc_Int_Oint) @t2864) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2996 @t3119 tptp.tc_Int_Oint) @t2866) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2886 @t2996 tptp.tc_Int_Oint) (tptp.hAPP @t2971 @t2804)) (tptp.hAPP @t2968 (tptp.hAPP @t1624 @t33)))))) (tptp.hAPP (tptp.hAPP @t2864 (tptp.hAPP @t2866 (tptp.hAPP (tptp.hAPP @t2861 (tptp.hAPP tptp.c_fimplies @t2274)) (tptp.hAPP @t3118 (tptp.hAPP (tptp.hAPP @t2978 @t1604) @t33))))) (tptp.hAPP (tptp.hAPP @t2861 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t2274))) (tptp.hAPP (tptp.hAPP @t2864 (tptp.hAPP @t2866 @t2277)) (tptp.hAPP (tptp.hAPP @t2978 @t1599) @t1711))))))))) % 53.50/53.73 (assume @p2329 (forall @t3095 (=> (tptp.hBOOL (tptp.hAPP @t3085 @t3094)) (=> (forall @t3066 (=> (tptp.hBOOL (tptp.hAPP @t3085 @t3093)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t440) @t1391)) @t3092)) @t3091) @t3090))) @t3088)))) % 53.50/53.73 (assume @p2330 (forall @t1862 (=> (tptp.hBOOL (tptp.hAPP @t3124 @t3123)) (and (=> @t3122 (= @t3121 @t48)) (=> (not @t3122) (= @t3121 (tptp.c_Nitpick_Onat__gcd @t57 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t48 @t57)))))))) % 53.50/53.73 (assume @p2331 (forall @t1323 (=> @t3126 (= (tptp.hAPP (tptp.hAPP @t2785 @t2) @t25) (tptp.hAPP @t1853 (tptp.hAPP (tptp.hAPP @t1172 @t3125) @t25)))))) % 53.50/53.73 (assume @p2332 (forall @t1764 (=> @t3130 (= @t3129 (tptp.hAPP @t3128 @t3127))))) % 53.50/53.73 (assume @p2333 (forall (@list @t200 @t197 @t98 @t8) (= (tptp.hAPP @t3132 (tptp.hAPP (tptp.hAPP @t3131 @t197) @t200)) @t200))) % 53.50/53.73 (assume @p2334 (forall (@list @t197 @t152 @t97 @t98 @t8) (=> (= (tptp.hAPP @t3132 (tptp.hAPP (tptp.hAPP @t3131 @t97) @t152)) @t197) (= @t152 @t197)))) % 53.50/53.73 (assume @p2335 (forall @t3136 (= (tptp.hAPP @t3135 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1685 @t8 @t49 @t2) @t48)) (tptp.hAPP @t2 @t3134)))) % 53.50/53.73 (assume @p2336 (forall (@list @t1 @t48 @t2 @t8 @t49 @t1685) (= (= @t3138 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1685 @t49 @t8 @t1) @t48)) (= (tptp.hAPP @t2 @t3137) (tptp.hAPP @t1 @t3137))))) % 53.50/53.73 (assume @p2337 (forall (@list @t2671 @t8 @t49) (= @t3139 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t49 @t8 @t8) (tptp.hAPP (tptp.c_COMBK @t2722 @t49) @t2822)) @t2671)))) % 53.50/53.73 (assume @p2338 (forall @t2185 (= @t2201 (tptp.hAPP @t3128 @t3001)))) % 53.50/53.73 (assume @p2339 (forall @t2185 (=> @t2281 (=> @t2279 (= @t2201 (tptp.hAPP @t3128 @t2889)))))) % 53.50/53.73 (assume @p2340 (forall @t2185 (=> @t1806 (=> @t3004 (= @t2201 (tptp.hAPP @t3128 @t2931)))))) % 53.50/53.73 (assume @p2341 (forall @t1764 (=> @t2190 (= @t3129 (tptp.hAPP @t3128 @t2929))))) % 53.50/53.73 (assume @p2342 (forall @t2185 (=> @t1806 (=> @t2288 (= @t2201 (tptp.hAPP @t3128 @t3003)))))) % 53.50/53.73 (assume @p2343 (forall @t2185 (=> @t2281 (=> @t2891 (= @t2201 (tptp.hAPP @t3128 @t3000)))))) % 53.50/53.73 (assume @p2344 (forall (@list @t2 @t57 @t48 @t8) (= (tptp.hBOOL (tptp.hAPP @t3144 @t3142)) @t3140))) % 53.50/53.73 (assume @p2345 (forall @t1323 (=> @t3126 (= (tptp.hAPP (tptp.hAPP @t2779 @t2) @t25) (tptp.hAPP @t1853 (tptp.hAPP (tptp.hAPP @t1113 @t3125) @t25)))))) % 53.50/53.73 (assume @p2346 (forall @t3095 (=> (tptp.hBOOL (tptp.hAPP @t3086 @t3094)) (=> (forall @t3066 (=> (tptp.hBOOL (tptp.hAPP @t3086 @t3093)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1391) @t1711)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t2062 @t440)) (tptp.hAPP @t2062 @t1391)))) @t3090))) @t3088)))) % 53.50/53.73 (assume @p2347 (forall @t1764 (=> @t3130 (= @t3146 (tptp.hAPP @t3145 @t3127))))) % 53.50/53.73 (assume @p2348 (forall (@list @t49 @t8 @t20 @t3148) (= (= @t3148 @t20) (and (= (tptp.hAPP @t3149 @t3148) (tptp.hAPP @t3149 @t20)) (= (tptp.hAPP @t3147 @t3148) (tptp.hAPP @t3147 @t20)))))) % 53.50/53.73 (assume @p2349 (forall (@list @t1801 @t2413 @t8 @t98) (=> (= @t3153 (tptp.hAPP @t3152 @t1801)) (=> (= @t3151 (tptp.hAPP @t3150 @t1801)) (= @t2413 @t1801))))) % 53.50/53.73 (assume @p2350 (forall (@list @t197 @t152 @t97 @t8 @t98) (=> (= (tptp.hAPP @t3152 @t3154) @t197) (= @t97 @t197)))) % 53.50/53.73 (assume @p2351 (forall @t1682 (= (tptp.hAPP @t3152 @t3063) @t197))) % 53.50/53.73 (assume @p2352 (forall @t3155 (= (tptp.hAPP @t3149 @t3138) (tptp.hAPP (tptp.c_Product__Type_Ofst @t8 @t1685) @t48)))) % 53.50/53.73 (assume @p2353 (forall (@list @t2671 @t49 @t8) (= @t3156 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t49 @t8) @t2729) @t2671)))) % 53.50/53.73 (assume @p2354 (forall (@list @t2413 @t8 @t98) (= (tptp.hAPP (tptp.hAPP @t3062 @t3153) @t3151) @t2413))) % 53.50/53.73 (assume @p2355 (forall (@list @t8 @t98 @t714) (= @t714 (tptp.hAPP (tptp.hAPP @t3062 (tptp.hAPP @t3152 @t714)) (tptp.hAPP @t3150 @t714))))) % 53.50/53.73 (assume @p2356 (forall (@list @t2671 @t2 @t8 @t1685 @t49) (= (tptp.hAPP @t3072 @t2671) (tptp.hAPP (tptp.hAPP @t2 @t3159) @t3157)))) % 53.50/53.73 (assume @p2357 (forall @t2185 (= @t2217 (tptp.hAPP @t3145 @t3001)))) % 53.50/53.73 (assume @p2358 (forall @t668 (= @t2399 (tptp.hAPP @t3160 @t2987)))) % 53.50/53.73 (assume @p2359 (forall (@list @t1 @t2 @t3082 @t1685 @t49 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2660 @t49 @t1685) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3082 @t3078 @t2660) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t3082 @t2660) @t1) @t3149))) @t3147) (tptp.hAPP @t3067 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3082 @t3078 @t8) @t2) @t1))))) % 53.50/53.73 (assume @p2360 (forall (@list @t79 @t178 @t8 @t1685 @t49) (= (tptp.hAPP (tptp.hAPP @t3071 @t178) @t79) (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t3158 @t79)) (tptp.hAPP @t3133 @t79))))) % 53.50/53.73 (assume @p2361 (forall (@list @t2671 @t32 @t8 @t1685 @t49) (= (tptp.hAPP (tptp.hAPP @t3071 @t32) @t2671) (tptp.hAPP (tptp.hAPP @t32 @t3159) @t3157)))) % 53.50/53.73 (assume @p2362 (forall @t2185 (=> @t2281 (=> @t2279 (= @t2217 (tptp.hAPP @t3145 @t2889)))))) % 53.50/53.73 (assume @p2363 (forall @t2185 (=> @t1806 (=> @t3004 (= @t2217 (tptp.hAPP @t3145 @t2931)))))) % 53.50/53.73 (assume @p2364 (forall @t1764 (=> @t2190 (= @t3146 (tptp.hAPP @t3145 @t2929))))) % 53.50/53.73 (assume @p2365 (forall @t2185 (=> @t1806 (=> @t2288 (= @t2217 (tptp.hAPP @t3145 @t3003)))))) % 53.50/53.73 (assume @p2366 (forall @t2185 (=> @t2281 (=> @t2891 (= @t2217 (tptp.hAPP @t3145 @t3000)))))) % 53.50/53.73 (assume @p2367 (forall (@list @t2671 @t1 @t2 @t49 @t8) (= (tptp.c_Product__Type_Oprod_Oprod__size @t8 @t49 @t2 @t1 @t2671) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t2 @t3156)) (tptp.hAPP @t1 (tptp.hAPP @t3147 @t2671)))) @t1322)))) % 53.50/53.73 (assume @p2368 (forall (@list @t49 @t8 @t2505 @t305 @t2671 @t178) (=> (tptp.hBOOL (tptp.hAPP @t178 @t2671)) (=> (tptp.hBOOL (tptp.hAPP @t305 @t2505)) (and (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t3149 @t3161))) (tptp.hBOOL (tptp.hAPP @t305 (tptp.hAPP @t3147 @t3161)))))))) % 53.50/53.73 (assume @p2369 (forall (@list @t8 @t49 @t48 @t57 @t178) (=> (tptp.hBOOL (tptp.hAPP @t3166 @t48)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t3135 @t3164)) (tptp.hAPP @t3165 @t3164)))))) % 53.50/53.73 (assume @p2370 (forall @t3095 (=> (tptp.hBOOL (tptp.hAPP @t3124 (tptp.hAPP (tptp.hAPP @t2986 @t3087) @t406))) (=> (forall @t435 (=> (tptp.hBOOL (tptp.hAPP @t3124 @t3168)) (=> (=> (not (= @t429 @t1157)) (tptp.hBOOL (tptp.hAPP @t3167 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3 @t429)))) (tptp.hBOOL (tptp.hAPP @t179 @t429))))) @t3088)))) % 53.50/53.73 (assume @p2371 (forall @t668 (= @t2397 (tptp.hAPP @t3169 @t2987)))) % 53.50/53.73 (assume @p2372 (forall (@list @t3170 @t672 @t673) (= (tptp.hBOOL (tptp.hAPP @t3173 @t3170)) (and (= @t673 (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t704 @t3172) @t672)) @t3171)) (=> @t1207 (= @t3172 @t1157)) (=> @t1208 (and (=> @t1206 (and (tptp.hBOOL (tptp.hAPP @t1158 @t3171)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t3171) @t672)))) (=> (not @t1206) (and (tptp.hBOOL (tptp.hAPP @t695 @t3171)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t3171) @t1157)))))))))) % 53.50/53.73 (assume @p2373 (forall (@list @t715 @t726) (=> (tptp.hBOOL (tptp.hAPP @t3175 @t726)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2687 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t3174) (tptp.hAPP (tptp.c_Random_Orange @t726) @t715))) @t726))))) % 53.50/53.73 (assume @p2374 (forall @t3179 (= (tptp.hAPP @t2178 (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) @t3046) (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 @t2886 tptp.tc_Nat_Onat) @t1624) @t1853)) @t35))) @t3178)) (tptp.hAPP (tptp.hAPP @t1624 @t1868) (tptp.hAPP @t3046 (tptp.hAPP @t3046 (tptp.hAPP (tptp.hAPP @t1624 (tptp.hAPP @t1853 @t3176)) @t35))))))) % 53.50/53.73 (assume @p2375 (forall @t3184 (=> @t3183 (=> @t3182 @t3181)))) % 53.50/53.73 (assume @p2376 (forall @t3184 (=> @t3140 @t3181))) % 53.50/53.73 (assume @p2377 (forall @t2039 (tptp.hBOOL (tptp.hAPP @t3186 @t3185)))) % 53.50/53.73 (assume @p2378 (= (tptp.hAPP @t3177 @t1157) @t3187)) % 53.50/53.73 (assume @p2379 (forall @t3189 (= (tptp.hAPP @t3188 (tptp.hAPP @t3177 @t1024)) @t1024))) % 53.50/53.73 (assume @p2380 (forall @t167 (=> @t374 (= (= @t3192 @t3191) @t165)))) % 53.50/53.73 (assume @p2381 (forall @t2039 (= @t3195 (tptp.hAPP @t3194 @t3185)))) % 53.50/53.73 (assume @p2382 (forall @t3198 (=> @t1576 (= (tptp.hBOOL (tptp.hAPP @t3197 @t3196)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t972) @t676)))))) % 53.50/53.73 (assume @p2383 (forall @t167 (=> @t374 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3192) @t3191)) @t164)))) % 53.50/53.73 (assume @p2384 (forall @t3202 (=> @t1316 (= (tptp.hAPP @t3200 @t3201) (tptp.hAPP (tptp.hAPP @t844 (tptp.hAPP @t3200 @t3178)) @t2644))))) % 53.50/53.73 (assume @p2385 (forall @t1852 (=> @t374 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t349 (tptp.hAPP @t3190 @t673)) (tptp.hAPP @t3190 @t672))) (tptp.hBOOL (tptp.hAPP @t3203 @t672)))))) % 53.50/53.73 (assume @p2386 (forall @t2985 (=> @t166 (= (tptp.hAPP (tptp.hAPP @t84 @t3204) @t3196) @t3204)))) % 53.50/53.73 (assume @p2387 (forall @t3209 (= @t3208 (exists @t1326 (forall @t7 (=> @t3207 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t3) @t1324)))))))) % 53.50/53.73 (assume @p2388 (forall @t3209 (= @t3208 (exists @t1326 (forall @t7 (=> @t3207 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t3) @t1324)))))))) % 53.50/53.73 (assume @p2389 (forall (@list @t672 @t35 @t13 @t8) (=> @t3213 (= (tptp.hAPP @t3212 (tptp.hAPP (tptp.hAPP @t3199 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t8 tptp.tc_Nat_Onat) @t850) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t8 @t8) (tptp.hAPP (tptp.hAPP @t3211 @t465) @t1848)) @t35))) @t3178)) (tptp.hAPP @t3210 (tptp.hAPP @t850 (tptp.hAPP @t850 (tptp.hAPP (tptp.hAPP @t465 (tptp.hAPP @t1848 @t3176)) @t35)))))))) % 53.50/53.73 (assume @p2390 (forall @t3179 (= (tptp.hAPP (tptp.hAPP @t704 @t2050) (tptp.hAPP (tptp.hAPP @t3215 (tptp.hAPP (tptp.hAPP @t2872 @t3214) (tptp.hAPP (tptp.hAPP @t2951 @t704) @t35))) @t3178)) (tptp.hAPP @t1219 (tptp.hAPP @t3214 (tptp.hAPP @t3214 (tptp.hAPP (tptp.hAPP @t704 @t3176) @t35))))))) % 53.50/53.73 (assume @p2391 (forall @t2707 (= (tptp.hAPP @t3216 @t2706) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t3216 @t2705)) @t1322)))) % 53.50/53.73 (assume @p2392 (forall @t1687 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t49 @t1685 @t8 @t1683 @t3070) @t1684))) % 53.50/53.73 (assume @p2393 (forall @t3219 (= (tptp.hBOOL (tptp.hAPP @t3197 (tptp.c_SetInterval_Oord_OatMost @t8 @t3217 @t676))) (tptp.hBOOL (tptp.hAPP @t3218 @t676))))) % 53.50/53.73 (assume @p2394 (forall @t3219 (= (tptp.hBOOL (tptp.hAPP @t3197 (tptp.c_SetInterval_Oord_OatLeast @t8 @t3217 @t676))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3217 @t676) @t972))))) % 53.50/53.73 (assume @p2395 (forall @t661 (= (tptp.hAPP @t3216 @t658) @t658))) % 53.50/53.73 (assume @p2396 (not (tptp.hBOOL (tptp.hAPP @t3186 @t3220)))) % 53.50/53.73 (assume @p2397 (= (tptp.hAPP @t3216 @t1157) @t1157)) % 53.50/53.73 (assume @p2398 (forall @t3224 (= (tptp.hBOOL (tptp.hAPP @t3197 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t8 @t3217 @t3222 @t1695 @t1024))) (and @t3223 @t3221)))) % 53.50/53.73 (assume @p2399 (forall @t3224 (= (tptp.hBOOL (tptp.hAPP @t3197 (tptp.c_SetInterval_Oord_OatLeastLessThan @t8 @t3217 @t3222 @t1695 @t1024))) (and @t3227 @t3226)))) % 53.50/53.73 (assume @p2400 (forall (@list @t1024 @t1695 @t3222 @t972 @t8) (= (tptp.hBOOL (tptp.hAPP @t3197 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t8 @t3222 @t1695 @t1024))) (and @t3223 @t3226)))) % 53.50/53.73 (assume @p2401 (forall (@list @t1024 @t1695 @t3217 @t972 @t8) (= (tptp.hBOOL (tptp.hAPP @t3197 (tptp.c_SetInterval_Oord_OatLeastAtMost @t8 @t3217 @t1695 @t1024))) (and @t3227 @t3221)))) % 53.50/53.73 (assume @p2402 (forall @t3228 (= (tptp.hBOOL (tptp.hAPP @t3197 (tptp.c_SetInterval_Oord_OlessThan @t8 @t3222 @t676))) (tptp.hBOOL (tptp.hAPP @t3225 @t676))))) % 53.50/53.73 (assume @p2403 (forall @t3228 (= (tptp.hBOOL (tptp.hAPP @t3197 (tptp.c_SetInterval_Oord_OgreaterThan @t8 @t3222 @t676))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3222 @t676) @t972))))) % 53.50/53.73 (assume @p2404 (forall (@list @t3148 @t2067 @t1553 @t1554 @t33 @t13 @t49 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3234 (tptp.hAPP (tptp.hAPP @t3233 @t3038) @t3064)) (tptp.c_Wellfounded_Olex__prod @t8 @t49 @t2067 @t3148))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t3232 @t1554)) @t2067)) (and @t1555 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3231 (tptp.hAPP (tptp.hAPP @t3229 @t33) @t1553)) @t3148))))))) % 53.50/53.73 (assume @p2405 (forall @t116 (= (tptp.hBOOL (tptp.hAPP @t3239 @t3235)) (and @t351 @t413)))) % 53.50/53.73 (assume @p2406 (forall (@list @t8 @t2733 @t57 @t3241 @t49 @t48 @t178) (=> @t310 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3231 (tptp.hAPP (tptp.hAPP @t3229 @t3241) @t57)) @t3242)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3234 (tptp.hAPP (tptp.hAPP @t3233 (tptp.hAPP @t2740 @t3241)) @t2741)) @t3240)))))) % 53.50/53.73 (assume @p2407 (forall (@list @t972 @t88 @t2 @t3148 @t8 @t49) (=> @t3248 (=> @t3247 (=> @t3246 (=> (= @t3245 @t88) (=> @t3244 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t141 @t3243) @t88))))))))) % 53.50/53.73 (assume @p2408 (forall (@list @t972 @t2 @t3148 @t8 @t49) (=> @t3248 (=> @t3247 (=> @t3246 (=> (= @t3245 @t1162) (=> @t3244 (= @t3243 @t1162)))))))) % 53.50/53.73 (assume @p2409 (forall @t2870 (= (tptp.hAPP (tptp.hAPP @t3249 @t1934) @t692) (tptp.hAPP @t2898 (tptp.hAPP @t3250 (tptp.hAPP @t2897 (tptp.hAPP (tptp.hAPP @t2901 (tptp.hAPP (tptp.hAPP @t2900 @t3249) tptp.c_Int_Onat)) @t672))))))) % 53.50/53.73 (assume @p2410 (forall @t96 (=> @t374 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t3251)))) % 53.50/53.73 (assume @p2411 (forall @t1597 (=> @t374 (= (tptp.hBOOL (tptp.hAPP @t3252 @t3254)) (or (tptp.hBOOL (tptp.hAPP @t3252 @t48)) (tptp.hBOOL (tptp.hAPP @t3252 @t57))))))) % 53.50/53.73 (assume @p2412 (forall @t283 (=> @t156 (=> @t3259 @t277)))) % 53.50/53.73 (assume @p2413 (forall @t286 (=> @t156 (=> @t199 (=> @t285 (tptp.hBOOL (tptp.hAPP @t3258 (tptp.hAPP (tptp.hAPP @t3255 @t196) @t284)))))))) % 53.50/53.73 (assume @p2414 (forall @t224 (=> @t156 (=> @t154 (=> @t222 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3261) @t97))))))) % 53.50/53.73 (assume @p2415 (forall @t289 (=> @t156 (=> @t276 (=> @t275 @t3259))))) % 53.50/53.73 (assume @p2416 (forall @t220 (=> @t156 (=> @t154 (= @t3263 @t97))))) % 53.50/53.73 (assume @p2417 (forall @t157 (=> @t156 (=> @t155 (= @t3263 @t152))))) % 53.50/53.73 (assume @p2418 (forall @t321 (=> @t156 (=> @t320 @t3264)))) % 53.50/53.73 (assume @p2419 (forall @t319 (=> @t156 (=> @t318 @t3264)))) % 53.50/53.73 (assume @p2420 (forall @t316 (=> @t374 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t3254) @t79)) @t315)))) % 53.50/53.73 (assume @p2421 (forall @t167 (=> @t374 (= @t164 (= @t3254 @t57))))) % 53.50/53.73 (assume @p2422 (forall @t220 (=> @t156 (tptp.hBOOL (tptp.hAPP @t153 @t3263))))) % 53.50/53.73 (assume @p2423 (forall @t157 (=> @t156 (tptp.hBOOL (tptp.hAPP @t100 @t3263))))) % 53.50/53.73 (assume @p2424 (forall @t96 (=> (and @t138 @t374) (= @t137 @t3251)))) % 53.50/53.73 (assume @p2425 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t3249)) % 53.50/53.73 (assume @p2426 (forall @t103 (=> @t156 (= (tptp.hAPP @t3262 @t97) @t97)))) % 53.50/53.73 (assume @p2427 (forall @t219 (=> @t156 (= (tptp.hAPP (tptp.hAPP @t3255 @t3263) @t216) @t3265)))) % 53.50/53.73 (assume @p2428 (forall @t205 (=> @t156 (= (tptp.hAPP (tptp.hAPP @t3255 @t3257) @t196) @t3267)))) % 53.50/53.73 (assume @p2429 (forall @t219 (=> @t156 (= @t3265 (tptp.hAPP @t3260 @t3268))))) % 53.50/53.73 (assume @p2430 (forall @t215 (=> @t156 (= (tptp.hAPP @t3266 (tptp.hAPP @t3256 @t196)) @t3267)))) % 53.50/53.73 (assume @p2431 (forall @t157 (=> @t156 (= (tptp.hAPP @t3262 @t3263) @t3263)))) % 53.50/53.73 (assume @p2432 (forall @t295 (=> @t156 (= (tptp.hAPP @t3256 @t3257) @t3257)))) % 53.50/53.73 (assume @p2433 (forall @t157 (=> @t156 (= @t3263 @t3269)))) % 53.50/53.73 (assume @p2434 (forall @t295 (=> @t156 (= @t3257 (tptp.hAPP @t3266 @t197))))) % 53.50/53.73 (assume @p2435 (forall @t292 (=> @t156 (= (tptp.hAPP @t3256 @t197) @t197)))) % 53.50/53.73 (assume @p2436 (forall @t157 (=> @t156 (= (tptp.hAPP @t3262 @t1563) @t97)))) % 53.50/53.73 (assume @p2437 (forall @t157 (=> @t156 (= (tptp.hAPP @t1559 @t3263) @t97)))) % 53.50/53.73 (assume @p2438 (forall @t219 (=> @t156 (= @t3271 @t3270)))) % 53.50/53.73 (assume @p2439 (forall @t219 (=> @t156 (= @t3273 @t3272)))) % 53.50/53.73 (assume @p2440 (forall @t561 (=> @t156 (= (tptp.hAPP (tptp.hAPP @t3255 @t1561) @t97) (tptp.hAPP (tptp.hAPP @t1558 @t3269) (tptp.hAPP (tptp.hAPP @t3255 @t216) @t97)))))) % 53.50/53.73 (assume @p2441 (forall @t561 (=> @t156 (= (tptp.hAPP (tptp.hAPP @t1558 @t3261) @t97) (tptp.hAPP (tptp.hAPP @t3255 @t1569) (tptp.hAPP (tptp.hAPP @t1558 @t216) @t97)))))) % 53.50/53.73 (assume @p2442 (forall @t668 (= (tptp.hAPP (tptp.hAPP @t3249 @t663) @t659) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t3249 @t662) @t658))))) % 53.50/53.73 (assume @p2443 (forall @t661 (= (tptp.hAPP @t3274 @t1157) @t658))) % 53.50/53.73 (assume @p2444 (forall @t661 (= (tptp.hAPP (tptp.hAPP @t3249 @t1157) @t658) @t658))) % 53.50/53.73 (assume @p2445 (forall @t219 (=> @t1611 (= (tptp.hAPP (tptp.hAPP @t913 @t3263) @t216) (tptp.hAPP (tptp.hAPP @t3255 @t1610) @t1609))))) % 53.50/53.73 (assume @p2446 (forall @t219 (=> @t899 (= (tptp.hAPP (tptp.hAPP @t834 @t3263) @t216) (tptp.hAPP (tptp.hAPP @t3255 @t1608) @t867))))) % 53.50/53.73 (assume @p2447 (forall @t316 (=> @t374 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t3254) @t79)) (and @t1593 @t1592))))) % 53.50/53.73 (assume @p2448 (forall @t1597 (=> @t374 (= (tptp.hBOOL (tptp.hAPP @t1594 @t3254)) (or @t1596 @t1595))))) % 53.50/53.73 (assume @p2449 (forall @t321 (=> @t156 (=> @t411 @t3275)))) % 53.50/53.73 (assume @p2450 (forall @t319 (=> @t156 (=> @t412 @t3275)))) % 53.50/53.73 (assume @p2451 (forall @t1579 (=> @t1578 (and (=> @t1574 (= @t3276 @t1571)) (=> @t1575 (= @t3276 @t1572)))))) % 53.50/53.73 (assume @p2452 (forall @t219 (=> @t156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3271) @t3270))))) % 53.50/53.73 (assume @p2453 (forall @t219 (=> @t156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3272) @t3273))))) % 53.50/53.73 (assume @p2454 (forall @t157 (=> @t3277 (= (tptp.hAPP @t2074 @t1563) (tptp.hAPP (tptp.hAPP @t3255 @t2084) @t2100))))) % 53.50/53.73 (assume @p2455 (forall @t157 (=> @t3277 (= (tptp.hAPP @t2074 @t3263) (tptp.hAPP (tptp.hAPP @t1558 @t2084) @t2100))))) % 53.50/53.73 (assume @p2456 (forall @t690 (= (tptp.hAPP (tptp.hAPP @t796 @t1212) @t662) (tptp.hAPP @t3274 @t662)))) % 53.50/53.73 (assume @p2457 (forall @t697 (= (tptp.hAPP @t3279 @t673) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t692 (tptp.hAPP @t2873 @t3278) @t673)))) % 53.50/53.73 (assume @p2458 (forall @t701 (= (tptp.hAPP (tptp.hAPP @t3249 @t673) @t692) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t692 (tptp.hAPP @t2873 (tptp.hAPP (tptp.hAPP @t2951 @t3249) @t672)) @t673)))) % 53.50/53.73 (assume @p2459 (forall @t96 (=> @t1576 (= @t3251 (tptp.c_Orderings_Oord_Omax @t8 @t160))))) % 53.50/53.73 (assume @p2460 (forall @t539 (=> @t374 (=> @t335 (= (tptp.hAPP @t3281 @t28) (tptp.hAPP @t3283 @t3282)))))) % 53.50/53.73 (assume @p2461 (forall @t96 (=> @t374 (= (tptp.c_Orderings_Oord_Omin @t8 @t3051) @t3251)))) % 53.50/53.73 (assume @p2462 (forall @t545 (=> @t374 (=> @t335 (=> @t118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 (tptp.hAPP @t3283 @t33)) @t3282))))))) % 53.50/53.73 (assume @p2463 (forall @t363 (=> @t374 (=> @t335 (=> @t118 (= (tptp.hAPP @t3283 @t1692) @t13)))))) % 53.50/53.73 (assume @p2464 (forall @t2871 (= (tptp.hAPP @t3279 @t1934) (tptp.hAPP @t2898 (tptp.hAPP @t3250 (tptp.hAPP @t2897 (tptp.hAPP (tptp.hAPP @t2896 @t3278) tptp.c_Int_Onat))))))) % 53.50/53.73 (assume @p2465 (forall @t73 (=> @t374 (=> @t335 (=> @t149 (and (=> @t332 @t3286) (=> @t333 (= @t3285 @t3284)))))))) % 53.50/53.73 (assume @p2466 (forall @t135 (=> @t374 (=> @t335 (=> @t68 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t1692) @t3287))))))) % 53.50/53.73 (assume @p2467 (forall @t73 (=> @t374 (=> @t335 (=> @t149 (and (=> @t332 (= @t3287 @t48)) (=> @t333 (= @t3287 @t3288)))))))) % 53.50/53.73 (assume @p2468 (forall (@list @t672 @t178 @t305) (=> (forall @t7 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t3289) @t179))) (= (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP (tptp.hAPP @t3215 @t178) @t3178)) (tptp.hAPP (tptp.hAPP @t3215 @t305) @t3178)) (tptp.hAPP (tptp.hAPP @t3215 (tptp.hAPP (tptp.hAPP @t2796 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2708 tptp.tc_Nat_Onat) @t541) @t178)) @t305)) @t3178))))) % 53.50/53.73 (assume @p2469 (forall @t54 (=> @t374 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t53) @t48)))) % 53.50/53.73 (assume @p2470 (forall @t73 (=> @t374 (=> @t335 (=> @t149 (= @t3290 @t3287)))))) % 53.50/53.73 (assume @p2471 (forall @t73 (=> @t374 (=> @t335 (=> @t149 (tptp.hBOOL (tptp.hAPP @t163 @t3285))))))) % 53.50/53.73 (assume @p2472 (forall @t54 (=> @t374 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 @t53) @t48)))) % 53.50/53.73 (assume @p2473 (forall @t135 (=> @t374 (=> @t335 (=> @t68 @t3291))))) % 53.50/53.73 (assume @p2474 (forall @t73 (=> @t374 (=> @t335 (=> @t149 (= @t3292 @t3285)))))) % 53.50/53.73 (assume @p2475 (forall @t135 (=> @t374 (=> @t335 (= @t3287 @t3293))))) % 53.50/53.73 (assume @p2476 (forall @t135 (=> @t374 (=> @t335 (= @t3285 @t3293))))) % 53.50/53.73 (assume @p2477 (forall @t73 (=> @t374 (=> @t335 @t3295)))) % 53.50/53.73 (assume @p2478 (forall @t116 (=> @t374 (=> @t335 (=> @t450 (=> @t114 (= (tptp.hAPP (tptp.hAPP @t3251 @t3296) @t3287) @t3287))))))) % 53.50/53.73 (assume @p2479 (forall @t363 (=> @t374 (=> @t335 (=> @t118 (= (tptp.hAPP @t1665 @t3287) @t13)))))) % 53.50/53.73 (assume @p2480 (forall @t116 (=> @t374 (=> @t335 (=> @t68 (=> @t413 (=> @t450 @t3299))))))) % 53.50/53.73 (assume @p2481 (forall @t1794 (=> @t374 (=> @t1793 (=> @t1792 (=> @t1791 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1788)) @t3300)))))))) % 53.50/53.73 (assume @p2482 (forall @t363 (=> @t374 (=> @t335 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 @t28) @t3301))))) % 53.50/53.73 (assume @p2483 (forall @t73 (=> @t374 (=> @t335 @t3303)))) % 53.50/53.73 (assume @p2484 (forall @t116 (=> @t374 (=> @t335 (=> @t450 (=> @t114 (= (tptp.hAPP (tptp.hAPP @t3251 @t3304) @t3285) @t3285))))))) % 53.50/53.73 (assume @p2485 (forall @t116 (=> @t374 (=> @t335 (=> @t68 (=> @t413 (=> @t450 @t3307))))))) % 53.50/53.73 (assume @p2486 (forall @t363 (=> @t374 (=> @t335 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t28) @t3301))))) % 53.50/53.73 (assume @p2487 (forall @t73 (=> @t374 (=> @t335 (=> @t241 @t3295))))) % 53.50/53.73 (assume @p2488 (forall @t73 (=> @t374 (=> @t335 (and (=> @t332 (= @t3294 @t48)) (=> @t333 (= @t3294 @t3288))))))) % 53.50/53.73 (assume @p2489 (forall @t116 (=> @t374 (=> @t335 (=> @t413 (=> @t592 (= (tptp.hAPP (tptp.hAPP @t3251 @t3298) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 @t488)) @t3297))))))) % 53.50/53.73 (assume @p2490 (forall @t116 (=> @t374 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (=> @t489 @t3299)))))))) % 53.50/53.73 (assume @p2491 (forall @t73 (=> @t374 (=> @t335 (=> @t241 (= @t3294 @t3308)))))) % 53.50/53.73 (assume @p2492 (forall @t73 (=> @t374 (=> @t335 (=> @t241 @t3303))))) % 53.50/53.73 (assume @p2493 (forall @t73 (=> @t374 (=> @t335 (and (=> @t332 (= @t3302 @t48)) (=> @t333 (= @t3302 @t3284))))))) % 53.50/53.73 (assume @p2494 (forall @t116 (=> @t374 (=> @t335 (=> @t413 (=> @t592 (= (tptp.hAPP (tptp.hAPP @t3251 @t3306) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t488)) @t3305))))))) % 53.50/53.73 (assume @p2495 (forall @t116 (=> @t374 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (=> @t489 @t3307)))))))) % 53.50/53.73 (assume @p2496 (forall @t73 (=> @t374 (=> @t335 (=> @t241 (= @t3302 @t3308)))))) % 53.50/53.73 (assume @p2497 (forall @t135 (=> @t374 (=> @t335 (=> @t68 (=> @t3310 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t3287) @t25)))))))) % 53.50/53.73 (assume @p2498 (forall @t135 (=> @t374 (=> @t335 (=> @t68 (=> @t3310 @t3291)))))) % 53.50/53.73 (assume @p2499 (forall @t3316 (= (tptp.hAPP @t3315 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3082 @t49 @t1685 @t1) @t48)) (tptp.hAPP (tptp.hAPP @t2739 @t3314) @t3312)))) % 53.50/53.73 (assume @p2500 (forall @t3319 (= (tptp.hAPP @t3077 (tptp.hAPP @t3318 @t48)) (tptp.hAPP (tptp.hAPP @t2739 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t3082 @t1685) @t48))) (tptp.hAPP @t2 (tptp.hAPP @t3317 @t48)))))) % 53.50/53.73 (assume @p2501 (forall (@list @t57 @t48 @t2 @t49 @t8 @t1685) (= (tptp.hAPP @t3315 (tptp.hAPP (tptp.hAPP @t3320 @t48) @t57)) (tptp.hAPP (tptp.hAPP @t2739 @t94) @t57)))) % 53.50/53.73 (assume @p2502 (forall (@list @t1 @t48 @t2 @t49 @t8 @t1685) (= (= @t3323 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t1685 @t8 @t49 @t1) @t48)) (= @t3322 (tptp.hAPP @t1 @t3321))))) % 53.50/53.73 (assume @p2503 (forall @t3155 (= (tptp.hAPP @t3149 @t3323) @t3322))) % 53.50/53.73 (assume @p2504 (forall @t3136 (= (tptp.hAPP @t3135 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t1685 @t49 @t8 @t2) @t48)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t1685 @t8) @t48)))) % 53.50/53.73 (assume @p2505 (forall (@list @t2671 @t1 @t3082 @t2 @t8 @t49 @t1685) (= (tptp.hAPP @t3077 (tptp.hAPP @t3318 @t2671)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3082 @t8 @t49 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1685 @t49 @t3082 @t2) @t2671))))) % 53.50/53.73 (assume @p2506 (forall @t3330 (=> @t3329 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t3148) @t20)) @t3328)))) % 53.50/53.73 (assume @p2507 (forall @t3336 (=> @t426 (and (=> @t699 (= @t3334 (tptp.hAPP (tptp.hAPP @t267 @t2684) (tptp.hAPP @t2 @t3335)))) (=> @t779 (= @t3334 @t1160)))))) % 53.50/53.73 (assume @p2508 (forall @t1889 (=> @t3213 (= (tptp.hAPP @t3212 (tptp.hAPP (tptp.hAPP @t3199 @t1848) @t3337)) (tptp.hAPP @t3210 (tptp.hAPP (tptp.hAPP @t844 @t1849) @t641)))))) % 53.50/53.73 (assume @p2509 (forall @t1169 (=> @t3343 (=> @t335 (= @t3342 (tptp.hAPP (tptp.hAPP @t3339 (tptp.c_Orderings_Otop__class_Otop @t49)) @t25)))))) % 53.50/53.73 (assume @p2510 (forall @t3352 (=> @t3351 (=> @t3347 @t3345)))) % 53.50/53.73 (assume @p2511 (forall @t3352 (=> @t3351 (=> (not @t3345) (not @t3347))))) % 53.50/53.73 (assume @p2512 (forall @t3359 (=> @t3358 (=> @t118 @t3354)))) % 53.50/53.73 (assume @p2513 (forall @t3359 (=> @t3358 (=> (not @t3354) @t251)))) % 53.50/53.73 (assume @p2514 (forall @t3364 (=> @t3363 (=> @t118 @t3360)))) % 53.50/53.73 (assume @p2515 (forall @t3364 (=> @t3363 (=> (not @t3360) @t251)))) % 53.50/53.73 (assume @p2516 (forall (@list @t25 @t49 @t3365 @t8) (=> (exists @t7 (and @t3369 @t3368)) (tptp.hBOOL (tptp.hAPP @t346 @t3366))))) % 53.50/53.73 (assume @p2517 (forall @t3371 (tptp.hBOOL (tptp.hAPP @t3186 @t3370)))) % 53.50/53.73 (assume @p2518 (forall @t3375 (= @t3374 (tptp.hAPP (tptp.hAPP @t3373 @t1067) @t3372)))) % 53.50/53.73 (assume @p2519 (forall @t3379 (= (= @t3350 @t2651) @t3378))) % 53.50/53.73 (assume @p2520 (forall @t1235 (= (= @t2651 @t3350) @t3378))) % 53.50/53.73 (assume @p2521 (forall @t3383 (= (tptp.hBOOL (tptp.hAPP @t113 @t3382)) (forall @t7 (=> @t3380 (tptp.hBOOL (tptp.hAPP @t113 @t3367))))))) % 53.50/53.73 (assume @p2522 (forall @t3388 (= (tptp.hAPP @t3381 @t3387) (tptp.hAPP (tptp.hAPP @t486 @t3382) (tptp.hAPP @t3381 @t88))))) % 53.50/53.73 (assume @p2523 (forall @t3394 (=> @t814 (= (tptp.hAPP @t3390 (tptp.hAPP (tptp.hAPP @t3393 @t3392) @t2)) (tptp.hAPP @t3392 (tptp.hAPP (tptp.hAPP @t3391 @t3390) @t2748)))))) % 53.50/53.73 (assume @p2524 (forall @t3396 (=> @t814 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t49 @t2751) @t25) @t2) @t48) (tptp.hAPP @t3390 @t3395))))) % 53.50/53.73 (assume @p2525 (forall @t3379 (= @t3401 @t3399))) % 53.50/53.73 (assume @p2526 (forall @t3379 (= @t3399 @t3401))) % 53.50/53.73 (assume @p2527 (forall @t1235 (= (tptp.hAPP @t2584 @t3350) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t49 @t1048) @t25) @t3402)))) % 53.50/53.73 (assume @p2528 (forall (@list @t88 @t171 @t49 @t13 @t8) (= @t3407 @t3405))) % 53.50/53.73 (assume @p2529 (forall (@list @t88 @t13 @t171 @t8 @t49) (= @t3405 @t3407))) % 53.50/53.73 (assume @p2530 (forall @t3409 (= @t3351 (forall @t7 (=> @t3377 @t3408))))) % 53.50/53.73 (assume @p2531 (forall @t3412 (= @t3411 @t3410))) % 53.50/53.73 (assume @p2532 (forall @t3412 (= @t3416 @t3413))) % 53.50/53.73 (assume @p2533 (forall @t3417 (= @t3410 @t3411))) % 53.50/53.73 (assume @p2534 (forall @t3383 (= (tptp.hAPP @t150 @t3382) (tptp.hAPP @t3381 (tptp.hAPP (tptp.hAPP @t3403 @t150) @t25))))) % 53.50/53.73 (assume @p2535 (forall @t3418 (= @t3413 @t3416))) % 53.50/53.73 (assume @p2536 (forall @t3427 (= (tptp.hAPP (tptp.hAPP @t83 @t3382) (tptp.hAPP @t3425 @t88)) (tptp.hAPP @t3381 (tptp.hAPP (tptp.hAPP @t3426 @t3425) (tptp.hAPP (tptp.hAPP @t3422 (tptp.hAPP @t3421 @t3414)) @t88)))))) % 53.50/53.73 (assume @p2537 (forall @t3437 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3362 @t2651) @t3436) @t48) @t57)) (tptp.hBOOL (tptp.hAPP @t3431 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t3428) @t2651) @t2067)))))) % 53.50/53.73 (assume @p2538 (forall (@list @t1788 @t25 @t49 @t1024 @t8) (=> @t814 (= (tptp.hBOOL (tptp.hAPP @t3439 (tptp.hAPP @t3390 @t1788))) (forall @t7 (=> @t3377 (tptp.hBOOL (tptp.hAPP @t3439 @t3438)))))))) % 53.50/53.73 (assume @p2539 (forall (@list @t13 @t2 @t25 @t49 @t8) (=> @t1069 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 (tptp.hAPP @t3390 @t2)) @t13)) (exists @t7 (and @t3377 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t368 @t5) @t13)))))))) % 53.50/53.73 (assume @p2540 (forall @t3444 (=> @t3443 (= (tptp.hAPP @t3356 @t3442) (tptp.hAPP @t3440 @t3357))))) % 53.50/53.73 (assume @p2541 (forall @t3445 (=> @t118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 @t3357) @t3344))))) % 53.50/53.73 (assume @p2542 (forall @t3449 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 @t3448) @t48)) (tptp.hBOOL (tptp.hAPP @t344 (tptp.hAPP @t3446 @t2067)))))) % 53.50/53.73 (assume @p2543 (forall @t3452 (=> @t3451 (= (tptp.hAPP (tptp.hAPP @t628 @t3450) @t3366) @t3366)))) % 53.50/53.73 (assume @p2544 (forall @t3454 (=> @t3343 (=> @t68 (= (tptp.hAPP @t3341 @t3453) @t1788))))) % 53.50/53.73 (assume @p2545 (forall (@list @t88 @t8 @t49) (= (tptp.hAPP (tptp.hAPP @t3348 @t81) @t88) @t2651))) % 53.50/53.73 (assume @p2546 (forall @t3458 (and (=> @t67 (= @t3457 @t2653)) (=> @t68 (= @t3457 @t32))))) % 53.50/53.73 (assume @p2547 (forall @t3469 (and (=> @t3467 (= @t3466 @t88)) (=> @t3468 (= @t3466 @t3464))))) % 53.50/53.73 (assume @p2548 (forall @t3469 (and (=> @t3467 (= @t3471 @t25)) (=> @t3468 (= @t3471 @t3470))))) % 53.50/53.73 (assume @p2549 (forall @t3473 (= (tptp.hAPP (tptp.hAPP @t3348 @t3472) @t88) (tptp.hAPP (tptp.hAPP @t486 @t3344) @t3350)))) % 53.50/53.73 (assume @p2550 (forall @t3474 (= (tptp.hAPP (tptp.hAPP @t3348 @t492) @t1788) (tptp.hAPP (tptp.hAPP @t486 (tptp.hAPP @t3349 @t1788)) (tptp.hAPP (tptp.hAPP @t3348 @t88) @t1788))))) % 53.50/53.73 (assume @p2551 (forall @t116 (= (tptp.hAPP @t130 @t2681) (tptp.hAPP (tptp.hAPP @t3373 @t88) @t130)))) % 53.50/53.73 (assume @p2552 (forall @t46 (=> @t166 (= (= @t30 @t3476) @t3475)))) % 53.50/53.73 (assume @p2553 (forall @t46 (=> @t166 (= @t3477 @t3475)))) % 53.50/53.73 (assume @p2554 (forall @t78 (=> @t166 (=> @t1289 @t3477)))) % 53.50/53.73 (assume @p2555 (forall @t43 (=> @t166 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3476) @t3481)) (or @t3475 @t3480))))) % 53.50/53.73 (assume @p2556 (forall @t14 (=> @t166 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t13) @t45)))) % 53.50/53.73 (assume @p2557 (forall @t853 (=> @t166 (= (= @t3476 (tptp.hAPP @t39 @t30)) @t3482)))) % 53.50/53.73 (assume @p2558 (forall @t46 (=> @t166 (=> @t44 (= @t3476 @t45))))) % 53.50/53.73 (assume @p2559 (forall @t3484 (=> @t1316 (= (tptp.hAPP @t3200 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t769 @t692)) (tptp.hAPP @t3483 @t3331))))) % 53.50/53.73 (assume @p2560 (forall @t3487 (=> @t1316 (= (tptp.hAPP @t3200 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t822 @t820)) (tptp.hAPP @t3486 @t3331))))) % 53.50/53.73 (assume @p2561 (forall @t1112 (=> @t3343 (=> @t115 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t141 (tptp.hAPP (tptp.hAPP @t3340 @t88) @t2)) @t3342)))))) % 53.50/53.73 (assume @p2562 (forall @t3469 (and (=> @t3467 (= @t3464 @t2653)) (=> @t3468 (= @t3464 @t3466))))) % 53.50/53.73 (assume @p2563 (forall @t3469 (and (=> @t3467 (= @t3470 @t2653)) (=> @t3468 (= @t3470 @t3471))))) % 53.50/53.73 (assume @p2564 (forall @t3469 (and (=> @t3467 (= @t3490 (tptp.hAPP (tptp.hAPP @t339 @t2653) @t88))) (=> @t3468 (= @t3490 @t3489))))) % 53.50/53.73 (assume @p2565 (forall @t3469 (and (=> @t3467 (= @t3489 @t2653)) (=> @t3468 (= @t3489 @t3490))))) % 53.50/53.73 (assume @p2566 (forall @t3371 (= (tptp.hAPP @t3188 @t3370) (tptp.hAPP (tptp.hAPP @t541 @t3491) @t1695)))) % 53.50/53.73 (assume @p2567 (forall @t701 (=> @t778 (= @t3492 (tptp.hAPP (tptp.hAPP @t3193 @t692) @t3331))))) % 53.50/53.73 (assume @p2568 (forall @t3495 (=> @t3343 (=> @t3494 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t141 (tptp.hAPP @t3341 @t1788)) @t3493)))))) % 53.50/53.73 (assume @p2569 (forall (@list @t676 @t2) (=> (= @t2646 @t1157) (= (tptp.hAPP @t3496 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1322 @t676)) (tptp.hAPP @t3496 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1157 @t676)))))) % 53.50/53.73 (assume @p2570 (forall @t43 (=> @t374 (= (tptp.hAPP @t3499 @t3481) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t3498 @t3497))))) % 53.50/53.73 (assume @p2571 (forall @t43 (=> @t166 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t349 @t3476) @t3481)) (and (or @t3475 (and @t3479 @t3478 (or (tptp.hBOOL (tptp.hAPP @t401 @t13)) (tptp.hBOOL (tptp.hAPP @t1288 @t35))))) @t323))))) % 53.50/53.73 (assume @p2572 (forall @t3503 (=> @t166 (= (tptp.hAPP @t3502 @t3500) @t30)))) % 53.50/53.73 (assume @p2573 (forall @t3336 (=> @t1316 (=> @t699 (= @t3505 (tptp.hAPP @t3504 (tptp.hAPP @t3200 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t769 @t672)))))))) % 53.50/53.73 (assume @p2574 (forall @t3330 (=> @t1372 @t3328))) % 53.50/53.73 (assume @p2575 (forall @t3510 (=> @t1316 (and (=> @t3509 (= @t3508 @t1160)) (=> (not @t3509) (= @t3508 (tptp.hAPP @t3507 @t3506))))))) % 53.50/53.73 (assume @p2576 (forall @t1112 (=> @t3343 (=> @t335 (= (tptp.hAPP (tptp.hAPP @t3338 @t88) @t3342) (tptp.hAPP (tptp.hAPP @t3339 @t88) @t25)))))) % 53.50/53.73 (assume @p2577 (forall (@list @t2671 @t2 @t672 @t673 @t8) (=> @t1316 (=> (tptp.hBOOL (tptp.hAPP @t698 @t3335)) (= (tptp.hAPP @t3200 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t673 @t3511)) (tptp.hAPP @t3507 (tptp.hAPP @t3200 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3335 @t3511)))))))) % 53.50/53.73 (assume @p2578 (forall @t3516 (= (forall @t1326 (=> @t3515 @t3514)) (forall @t7 (=> @t3513 @t180))))) % 53.50/53.73 (assume @p2579 (forall @t3516 (= (exists @t1326 (and @t3515 @t3514)) (exists @t7 (and @t3513 @t180))))) % 53.50/53.73 (assume @p2580 (forall @t3330 (=> @t3329 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t3148) @t20)) @t3517)))) % 53.50/53.73 (assume @p2581 (forall (@list @t461 @t48 @t3518 @t57) (=> (tptp.hBOOL (tptp.hAPP @t3529 @t3518)) (=> @t3527 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3524 (tptp.hAPP @t3525 @t3518)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3524 (tptp.hAPP (tptp.hAPP @t3522 (tptp.hAPP @t3520 @t461)) @t3518)) tptp.c_FunDef_Omax__strict))))))) % 53.50/53.73 (assume @p2582 (forall @t3532 (= @t3358 (forall @t7 (=> @t183 @t3531))))) % 53.50/53.73 (assume @p2583 (forall @t3535 (= @t3363 @t3534))) % 53.50/53.73 (assume @p2584 (forall (@list @t3518) (=> (tptp.hBOOL (tptp.hAPP @t3538 @t3518)) (=> (not (= @t3518 @t3536)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3524 (tptp.hAPP @t3537 @t3518)) tptp.c_FunDef_Omax__strict)))))) % 53.50/53.73 (assume @p2585 (forall (@list @t972 @t971) (and (=> @t3541 (= @t3540 @t3542)) (=> (not @t3541) (= @t3540 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t972) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t3539 @t971))))))) % 53.50/53.73 (assume @p2586 (forall @t3371 (= (tptp.hAPP @t3546 @t3545) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t1617 @t3544) @t1708))))) % 53.50/53.73 (assume @p2587 (forall @t3330 (=> @t1372 @t3517))) % 53.50/53.73 (assume @p2588 (forall @t3555 (=> @t3554 (=> @t3553 (=> (tptp.hBOOL (tptp.hAPP @t3552 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t3551 tptp.c_FunDef_Omin__weak))))))) % 53.50/53.73 (assume @p2589 (forall (@list @t3549 @t48 @t3547 @t57) (=> (tptp.hBOOL (tptp.hAPP @t3529 @t3547)) (=> @t3553 (=> (tptp.hBOOL (tptp.hAPP @t3552 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3524 (tptp.hAPP (tptp.hAPP @t3522 (tptp.hAPP @t3520 @t3549)) @t3547)) tptp.c_FunDef_Omax__weak))))))) % 53.50/53.73 (assume @p2590 (forall @t3555 (=> @t3554 (=> @t3527 (=> (tptp.hBOOL (tptp.hAPP @t3552 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t3551 tptp.c_FunDef_Omin__strict))))))) % 53.50/53.73 (assume @p2591 (forall @t3568 (=> @t3567 (forall @t7 (=> @t3566 (=> @t3558 (tptp.hBOOL (tptp.hAPP @t3557 @t3556)))))))) % 53.50/53.73 (assume @p2592 (forall @t3371 (tptp.hBOOL (tptp.hAPP @t3569 @t3545)))) % 53.50/53.73 (assume @p2593 (forall @t3570 (=> (tptp.hBOOL (tptp.hAPP @t3538 @t461)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3524 (tptp.hAPP @t3537 @t461)) tptp.c_FunDef_Omax__weak))))) % 53.50/53.73 (assume @p2594 (forall @t3570 (tptp.hBOOL (tptp.hAPP @t3571 tptp.c_FunDef_Omin__weak)))) % 53.50/53.73 (assume @p2595 (forall @t3570 (=> (not (= @t461 @t3536)) (tptp.hBOOL (tptp.hAPP @t3571 tptp.c_FunDef_Omin__strict))))) % 53.50/53.73 (assume @p2596 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t3574 (tptp.c_Wellfounded_Omin__ext @t3113 tptp.c_FunDef_Opair__leq)) @t3573))) % 53.50/53.73 (assume @p2597 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t3574 (tptp.c_Wellfounded_Omax__ext @t3113 tptp.c_FunDef_Opair__leq)) @t3573))) % 53.50/53.73 (assume @p2598 (forall @t3578 (=> @t3567 (=> @t3577 (forall @t7 (=> @t3566 (=> @t3575 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t3556) @t20))))))))) % 53.50/53.73 (assume @p2599 (forall @t3583 (=> @t3567 (=> @t3582 (forall @t7 (=> @t3580 (=> @t3558 (tptp.hBOOL (tptp.hAPP @t3557 @t3579))))))))) % 53.50/53.73 (assume @p2600 (not (tptp.hBOOL (tptp.hAPP @t3569 (tptp.c_Orderings_Otop__class_Otop @t2996))))) % 53.50/53.73 (assume @p2601 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t3113 tptp.c_FunDef_Opair__less))) % 53.50/53.73 (assume @p2602 (forall (@list @t227 @t171 @t2733 @t88 @t25 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3239 @t3584)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3238 (tptp.hAPP (tptp.hAPP @t3236 @t171) @t227)) @t3584)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3238 (tptp.hAPP (tptp.hAPP @t3236 @t172) (tptp.hAPP @t150 @t227))) @t3584)))))) % 53.50/53.73 (assume @p2603 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t3113 tptp.c_FunDef_Opair__less))) % 53.50/53.73 (assume @p2604 (forall (@list @t3585 @t48 @t2733 @t8) (= (tptp.c_Wellfounded_Omax__extp @t8 (tptp.hAPP @t3591 @t2733) @t48 @t3585) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3238 (tptp.hAPP (tptp.hAPP @t3236 @t48) @t3585)) @t3584))))) % 53.50/53.73 (assume @p2605 (forall @t3578 (=> @t3567 (=> @t3594 (forall @t7 (=> @t3566 (=> @t3592 (not (= @t3556 @t20))))))))) % 53.50/53.73 (assume @p2606 (forall @t3583 (=> @t3567 (=> @t3595 (forall @t7 (=> @t3580 (=> @t3592 (not (= @t3579 @t20))))))))) % 53.50/53.73 (assume @p2607 (forall @t3583 (=> @t3567 (=> @t3595 (forall @t7 (=> @t3580 (=> @t3597 (tptp.hBOOL (tptp.hAPP @t3596 @t3579))))))))) % 53.50/53.73 (assume @p2608 (forall @t3583 (=> @t3567 (=> @t3582 (=> (forall @t7 (=> @t3599 (forall @t571 (=> (tptp.hBOOL (tptp.hAPP @t3564 @t88)) (not (= @t20 (tptp.hAPP (tptp.hAPP @t1617 @t567) @t3))))))) (= (tptp.hAPP @t3581 @t227) @t20)))))) % 53.50/53.73 (assume @p2609 (forall @t3578 (=> @t3567 (=> @t3577 (=> (forall @t7 (=> @t3599 (forall @t571 (=> (tptp.hBOOL (tptp.hAPP @t3564 @t25)) (not (= @t20 (tptp.hAPP (tptp.hAPP @t1632 @t567) @t3))))))) (= (tptp.hAPP @t3576 @t227) @t20)))))) % 53.50/53.73 (assume @p2610 (forall @t3578 (=> @t3567 (=> @t3594 (forall @t7 (=> @t3566 (=> @t3600 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t3556) @t20))))))))) % 53.50/53.73 (assume @p2611 (forall @t3601 (=> @t3567 (forall @t7 (=> @t3580 (=> @t3575 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t3579) @t20)))))))) % 53.50/53.73 (assume @p2612 (forall (@list @t178 @t35) (=> @t1983 (=> (forall @t3602 (= @t180 (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t1979 (tptp.hAPP (tptp.hAPP @t1624 @t939) @t35)))))) (= @t2442 (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t3598 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1708 @t35))) @t180))))))) % 53.50/53.73 (assume @p2613 (forall @t3601 (=> @t3567 (forall @t7 (=> @t3580 (=> @t3600 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t3579) @t20)))))))) % 53.50/53.73 (assume @p2614 (forall @t3568 (=> @t3567 (forall @t7 (=> @t3566 (=> @t3597 (tptp.hBOOL (tptp.hAPP @t3596 @t3556)))))))) % 53.50/53.73 (assume @p2615 (forall @t3371 (= (tptp.hAPP @t3546 @t3604) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3543 @t3603))))) % 53.50/53.73 (assume @p2616 (forall @t3371 (tptp.hBOOL (tptp.hAPP @t3569 @t3604)))) % 53.50/53.73 (assume @p2617 (forall @t3607 (=> @t166 (=> @t3606 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t676 @t1695) @t30))))) % 53.50/53.73 (assume @p2618 (forall @t3611 (=> @t166 (= (tptp.hAPP @t3610 @t3608) @t30)))) % 53.50/53.73 (assume @p2619 (forall @t3611 (=> @t166 (= (tptp.hAPP @t3614 @t3612) @t30)))) % 53.50/53.73 (assume @p2620 (forall @t43 (=> @t374 (= (tptp.hAPP (tptp.hAPP @t486 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t13 @t33)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t32 @t35)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t3498 @t3497))))) % 53.50/53.73 (assume @p2621 (tptp.c_FunDef_Oreduction__pair @t3521 (tptp.hAPP (tptp.hAPP @t3615 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 53.50/53.73 (assume @p2622 (tptp.c_FunDef_Oreduction__pair @t3521 (tptp.hAPP (tptp.hAPP @t3615 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 53.50/53.73 (assume @p2623 (forall @t3611 (=> @t374 (=> @t3620 (=> @t3618 (= (tptp.hAPP @t3617 @t3612) @t3616)))))) % 53.50/53.73 (assume @p2624 (forall @t1862 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3528 @t3123) tptp.c_Wellfounded_Oless__than)) @t1859))) % 53.50/53.73 (assume @p2625 (forall @t3371 (tptp.hBOOL (tptp.hAPP @t3186 @t3621)))) % 53.50/53.73 (assume @p2626 (forall @t3371 (tptp.hBOOL (tptp.hAPP @t3186 @t3622)))) % 53.50/53.73 (assume @p2627 (forall @t3371 (tptp.hBOOL (tptp.hAPP @t3569 @t3623)))) % 53.50/53.73 (assume @p2628 (forall @t3607 (=> @t166 (=> @t3606 @t3625)))) % 53.50/53.73 (assume @p2629 (forall @t3628 (=> @t166 (= @t3625 @t3627)))) % 53.50/53.73 (assume @p2630 (forall @t3628 (=> @t166 (= (= @t30 @t3624) @t3627)))) % 53.50/53.73 (assume @p2631 (forall @t3611 (=> @t374 (=> @t3632 (=> @t3618 (= (tptp.hAPP @t3631 @t3629) @t3616)))))) % 53.50/53.73 (assume @p2632 (forall @t3611 (=> @t166 (= (tptp.hAPP @t3633 @t3629) @t30)))) % 53.50/53.73 (assume @p2633 (forall @t3371 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3634 @t1024) @t3621))) % 53.50/53.73 (assume @p2634 (= 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))) % 53.50/53.73 (assume @p2635 (forall @t3371 (= (tptp.hAPP @t3188 @t3621) @t3636))) % 53.50/53.73 (assume @p2636 (forall @t3611 (=> @t374 (=> @t3632 (=> @t3618 (= (tptp.hAPP @t3637 @t3629) @t3500)))))) % 53.50/53.73 (assume @p2637 (forall @t3371 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t3603 @t1024) @t3623))) % 53.50/53.73 (assume @p2638 (forall @t3611 (=> @t166 (= (tptp.hAPP @t3610 @t3629) @t30)))) % 53.50/53.73 (assume @p2639 (forall @t43 (=> @t374 (= (tptp.hAPP (tptp.hAPP @t486 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t13 @t33)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t32 @t35)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t3498 @t3497))))) % 53.50/53.73 (assume @p2640 (forall @t3611 (=> @t166 (= (tptp.hAPP @t3633 @t3608) @t30)))) % 53.50/53.73 (assume @p2641 (forall @t3371 (= (tptp.hAPP @t3188 @t3622) (tptp.hAPP @t3635 @t3634)))) % 53.50/53.73 (assume @p2642 (forall @t3371 (= (tptp.hAPP @t3546 @t3623) @t3638))) % 53.50/53.73 (assume @p2643 (forall @t3611 (=> @t374 (=> @t3632 (=> @t3640 (= (tptp.hAPP @t3631 @t3608) @t3639)))))) % 53.50/53.73 (assume @p2644 (forall (@list @t178 @t672 @t673 @t8) (=> @t1316 (=> @t699 (= (tptp.hAPP @t3641 @t3331) (tptp.hAPP (tptp.hAPP @t844 (tptp.hAPP @t178 @t673)) (tptp.hAPP @t3641 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t673 @t672)))))))) % 53.50/53.73 (assume @p2645 (forall @t3503 (=> @t374 (=> @t3643 (= (tptp.hAPP @t3642 @t3616) @t3500))))) % 53.50/53.73 (assume @p2646 (forall @t3503 (=> @t374 (=> @t3646 (= (tptp.hAPP @t3645 @t3644) @t3616))))) % 53.50/53.73 (assume @p2647 (forall (@list @t2733 @t2 @t8) (= @t3180 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t3647 @t8) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t8 tptp.c_Wellfounded_Oless__than @t2733)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t8 @t3647) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t8 @t3647) @t8) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t8)) @t2)) @t2822))))) % 53.50/53.73 (assume @p2648 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3326 (tptp.hAPP (tptp.hAPP @t3324 @t3123) @t3651)) tptp.c_Int_Ointrel)) (= @t3650 @t3648)))) % 53.50/53.73 (assume @p2649 (forall @t3655 (=> @t3654 (tptp.c_FunDef_Oreduction__pair @t49 (tptp.hAPP (tptp.hAPP @t3653 @t178) @t2))))) % 53.50/53.73 (assume @p2650 (forall @t1169 (=> @t3343 (=> @t335 (= @t3660 (tptp.hAPP (tptp.hAPP @t3657 (tptp.c_Orderings_Obot__class_Obot @t49)) @t25)))))) % 53.50/53.73 (assume @p2651 (forall @t3666 (=> @t118 (=> @t3665 (tptp.hBOOL (tptp.hAPP @t3664 @t3663)))))) % 53.50/53.73 (assume @p2652 (forall (@list @t49 @t33 @t88 @t25 @t13 @t8) (=> @t118 (=> @t3354 @t3667)))) % 53.50/53.73 (assume @p2653 (forall (@list @t1685 @t49 @t32 @t33 @t88 @t25 @t13 @t8) (=> @t118 (=> @t3360 @t3669)))) % 53.50/53.73 (assume @p2654 (forall @t3379 (= (= @t3673 @t30) @t3670))) % 53.50/53.73 (assume @p2655 (forall @t3458 (and (=> @t67 (= @t3674 @t81)) (=> @t68 (= @t3674 @t32))))) % 53.50/53.73 (assume @p2656 (forall (@list @t25 @t8 @t49) (= (tptp.hAPP @t3672 (tptp.hAPP @t3675 @t30)) @t30))) % 53.50/53.73 (assume @p2657 (forall @t1235 (= (= @t30 @t3673) @t3670))) % 53.50/53.73 (assume @p2658 (forall @t1152 (=> @t335 (= @t3677 @t3676)))) % 53.50/53.73 (assume @p2659 (forall @t3474 (= (tptp.hAPP (tptp.hAPP @t3671 @t492) @t1788) (tptp.hAPP (tptp.hAPP @t83 (tptp.hAPP @t3672 @t1788)) (tptp.hAPP @t3678 @t1788))))) % 53.50/53.73 (assume @p2660 (forall @t3388 (= (tptp.hAPP @t3679 @t3681) (tptp.hAPP (tptp.hAPP @t83 @t3680) (tptp.hAPP @t3679 @t88))))) % 53.50/53.73 (assume @p2661 (forall @t3409 (= (tptp.hBOOL (tptp.hAPP @t76 @t3673)) (exists @t7 (and @t3377 @t3408))))) % 53.50/53.73 (assume @p2662 (forall @t3686 (= (tptp.hAPP @t3349 (tptp.hAPP (tptp.hAPP @t3685 (tptp.hAPP (tptp.hAPP @t3684 @t3424) @t88)) @t171)) (tptp.hAPP (tptp.hAPP @t3424 @t3683) @t171)))) % 53.50/53.73 (assume @p2663 (forall @t3691 (= (tptp.hAPP (tptp.hAPP @t3348 @t3690) @t171) (tptp.hAPP @t3689 (tptp.hAPP (tptp.hAPP @t3688 (tptp.hAPP (tptp.hAPP @t3687 @t3348) @t88)) @t171))))) % 53.50/53.73 (assume @p2664 (forall @t3418 (= @t3695 @t3693))) % 53.50/53.73 (assume @p2665 (forall @t3412 (= @t3693 @t3695))) % 53.50/53.73 (assume @p2666 (forall @t1235 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1051 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t49 @t1048) @t25) @t3402)) (tptp.hAPP @t2584 @t3673))))) % 53.50/53.73 (assume @p2667 (forall @t3394 (=> @t814 (= (tptp.hAPP @t3697 (tptp.hAPP (tptp.hAPP @t3393 @t3698) @t2)) (tptp.hAPP @t3698 (tptp.hAPP (tptp.hAPP @t3391 @t3697) @t2748)))))) % 53.50/53.73 (assume @p2668 (forall @t3396 (=> @t814 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t49 @t2751) @t25) @t2) @t48) (tptp.hAPP @t3697 @t3395))))) % 53.50/53.73 (assume @p2669 (forall @t3379 (= @t3702 @t3701))) % 53.50/53.73 (assume @p2670 (forall @t3379 (= @t3701 @t3702))) % 53.50/53.73 (assume @p2671 (forall @t3412 (= @t3704 @t3703))) % 53.50/53.73 (assume @p2672 (forall @t3412 (= @t3706 @t3705))) % 53.50/53.73 (assume @p2673 (forall @t3417 (= @t3703 @t3704))) % 53.50/53.73 (assume @p2674 (forall @t3383 (= (tptp.hAPP @t529 @t3680) (tptp.hAPP @t3679 (tptp.hAPP (tptp.hAPP @t3403 @t529) @t25))))) % 53.50/53.73 (assume @p2675 (forall @t3418 (= @t3705 @t3706))) % 53.50/53.73 (assume @p2676 (forall @t3427 (= (tptp.hAPP (tptp.hAPP @t486 @t3680) (tptp.hAPP @t3708 @t88)) (tptp.hAPP @t3679 (tptp.hAPP (tptp.hAPP @t3426 @t3708) (tptp.hAPP (tptp.hAPP @t3422 (tptp.hAPP @t3421 @t3385)) @t88)))))) % 53.50/53.73 (assume @p2677 (forall @t3709 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3680) @t88)) (forall @t7 (=> @t3380 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3367) @t88))))))) % 53.50/53.73 (assume @p2678 (forall @t3375 (= @t3711 (tptp.hAPP (tptp.hAPP @t3710 @t1067) @t3372)))) % 53.50/53.73 (assume @p2679 (forall @t3437 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3668 @t2651) @t3436) @t48) @t57)) (tptp.hBOOL (tptp.hAPP @t3431 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t3428) @t2651) @t2067)))))) % 53.50/53.73 (assume @p2680 (forall (@list @t1024 @t1788 @t25 @t49 @t8) (=> @t814 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 (tptp.hAPP @t3697 @t1788)) @t1024)) (forall @t7 (=> @t3377 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t3438) @t1024)))))))) % 53.50/53.73 (assume @p2681 (forall (@list @t2 @t25 @t49 @t13 @t8) (=> @t1069 (= (tptp.hBOOL (tptp.hAPP @t403 (tptp.hAPP @t3697 @t2))) (exists @t7 (and @t3377 (tptp.hBOOL (tptp.hAPP @t403 @t5)))))))) % 53.50/53.73 (assume @p2682 (forall @t3454 (=> @t3343 (=> @t68 (= (tptp.hAPP @t3659 @t3453) @t1788))))) % 53.50/53.73 (assume @p2683 (forall @t3444 (=> @t3443 (= (tptp.hAPP @t3662 @t3442) (tptp.hAPP @t3440 @t3663))))) % 53.50/53.73 (assume @p2684 (forall @t3445 (=> @t118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 @t3344) @t3663))))) % 53.50/53.73 (assume @p2685 (forall @t3449 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3712 @t3448) @t48)) (tptp.hBOOL (tptp.hAPP @t344 (tptp.hAPP @t3712 @t2067)))))) % 53.50/53.73 (assume @p2686 (forall @t3452 (=> @t3451 (= (tptp.hAPP (tptp.hAPP @t490 @t3450) @t3713) @t3713)))) % 53.50/53.73 (assume @p2687 (forall @t3718 (and (=> @t3467 (= @t3717 @t81)) (=> @t3468 (= @t3717 @t3716))))) % 53.50/53.73 (assume @p2688 (forall @t135 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t29) @t25) @t2842) @t25))) % 53.50/53.73 (assume @p2689 (forall @t3718 (and (=> @t3467 (= @t3716 @t3719)) (=> @t3468 (= @t3716 @t3717))))) % 53.50/53.73 (assume @p2690 (forall @t3469 (and (=> @t3467 (= @t3721 @t81)) (=> @t3468 (= @t3721 @t3720))))) % 53.50/53.73 (assume @p2691 (forall @t3469 (and (=> @t3467 (= @t3724 @t81)) (=> @t3468 (= @t3724 @t3722))))) % 53.50/53.73 (assume @p2692 (forall @t3469 (and (=> @t3467 (= @t3720 @t25)) (=> @t3468 (= @t3720 @t3721))))) % 53.50/53.73 (assume @p2693 (forall @t3469 (and (=> @t3467 (= @t3722 @t88)) (=> @t3468 (= @t3722 @t3724))))) % 53.50/53.73 (assume @p2694 (forall @t3473 (= (tptp.hAPP (tptp.hAPP @t3671 @t3472) @t88) (tptp.hAPP (tptp.hAPP @t83 @t3344) @t3673)))) % 53.50/53.73 (assume @p2695 (forall @t3412 (= @t3726 @t3725))) % 53.50/53.73 (assume @p2696 (forall @t3417 (= @t3725 @t3726))) % 53.50/53.73 (assume @p2697 (forall @t139 (= (tptp.hAPP (tptp.hAPP @t486 @t1050) @t25) (tptp.hAPP @t3727 (tptp.hAPP (tptp.hAPP @t2843 @t486) @t25))))) % 53.50/53.73 (assume @p2698 (forall @t116 (= (tptp.hAPP @t487 @t1050) (tptp.hAPP @t3727 @t487)))) % 53.50/53.73 (assume @p2699 (forall @t1235 (= (tptp.hAPP @t2197 @t3350) (tptp.hAPP @t3672 @t3728)))) % 53.50/53.73 (assume @p2700 (forall @t1235 (= (tptp.hAPP @t2197 @t3673) (tptp.hAPP @t3349 @t3728)))) % 53.50/53.73 (assume @p2701 (forall @t2657 (= @t3653 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2945 @t2945 @t3735) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2945 @t3738 @t3737) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3736 (tptp.tc_fun @t3738 @t3737) @t2945) (tptp.c_COMBB @t3734 @t3735 @t2945)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3733 @t3736 @t2945) (tptp.c_COMBS @t50 @t3730 @t3731)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3734 @t3733 @t2945) (tptp.hAPP (tptp.c_COMBB @t3730 @t3732 @t50) (tptp.c_Product__Type_OPair @t3730 @t3730))) @t3729)))) @t3729))))) % 53.50/53.73 (assume @p2702 (= (tptp.hAPP @t3739 @t3177) @t3220)) % 53.50/53.73 (assume @p2703 (forall @t1112 (=> @t3343 (=> @t115 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t141 @t3660) (tptp.hAPP (tptp.hAPP @t3658 @t88) @t2))))))) % 53.50/53.73 (assume @p2704 (forall @t3469 (and (=> @t3467 (= @t3741 @t25)) (=> @t3468 (= @t3741 @t3740))))) % 53.50/53.73 (assume @p2705 (forall @t3495 (=> @t3343 (=> @t3494 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t141 @t3493) (tptp.hAPP @t3659 @t1788))))))) % 53.50/53.73 (assume @p2706 (forall @t3469 (and (=> @t3467 (= @t3740 @t2653)) (=> @t3468 (= @t3740 @t3741))))) % 53.50/53.73 (assume @p2707 (forall @t1112 (=> @t3343 (=> @t335 (= (tptp.hAPP (tptp.hAPP @t3656 @t88) @t3660) (tptp.hAPP (tptp.hAPP @t3657 @t88) @t25)))))) % 53.50/53.73 (assume @p2708 (forall (@list @t2 @t2067 @t49 @t57 @t48 @t8) (= (tptp.hBOOL (tptp.hAPP @t3144 @t3743)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3231 (tptp.hAPP (tptp.hAPP @t3229 @t94) @t643)) @t2067))))) % 53.50/53.73 (assume @p2709 (forall @t1718 (= @t2449 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3113 @t2858) @t3747) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2858) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t2858 @t3746) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3745 (tptp.tc_fun @t2858 @t3746) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t2858 @t2858)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2708 @t3745 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3744 tptp.tc_Nat_Onat) @t3193)) @t541))) @t3187))))))) % 53.50/53.73 (assume @p2710 (forall @t3503 (=> @t374 (=> @t3646 (= (tptp.hAPP @t3751 @t3639) @t3748))))) % 53.50/53.73 (assume @p2711 (forall (@list @t672 @t48 @t8) (=> @t1490 (=> (not @t642) (= (tptp.hAPP (tptp.hAPP @t3199 @t2524) @t3753) (tptp.hAPP (tptp.hAPP @t1437 (tptp.hAPP (tptp.hAPP @t267 (tptp.hAPP @t2524 @t672)) @t641)) (tptp.hAPP (tptp.hAPP @t267 @t48) @t641))))))) % 53.50/53.73 (assume @p2712 (forall @t2039 (tptp.hBOOL (tptp.hAPP @t3186 @t3755)))) % 53.50/53.73 (assume @p2713 (forall @t3371 (tptp.hBOOL (tptp.hAPP @t3186 @t3757)))) % 53.50/53.73 (assume @p2714 (forall (@list @t178 @t88 @t25 @t49 @t8) (= (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t181 @t3673)) @t180)) (forall @t7 (=> @t3377 (forall @t571 (=> (tptp.hBOOL (tptp.hAPP @t570 @t3376)) (tptp.hBOOL (tptp.hAPP @t178 @t567))))))))) % 53.50/53.73 (assume @p2715 (forall @t3532 (= @t3667 (exists @t7 (and @t183 @t3531))))) % 53.50/53.73 (assume @p2716 (forall @t3535 (= @t3669 (exists @t7 (and @t183 @t3533))))) % 53.50/53.73 (assume @p2717 (forall @t3686 (= (tptp.hAPP @t3672 (tptp.hAPP (tptp.hAPP @t3685 (tptp.hAPP (tptp.hAPP @t3684 @t3707) @t88)) @t171)) (tptp.hAPP (tptp.hAPP @t3707 @t3683) @t171)))) % 53.50/53.73 (assume @p2718 (forall @t3691 (= (tptp.hAPP (tptp.hAPP @t3671 @t3690) @t171) (tptp.hAPP @t3758 (tptp.hAPP (tptp.hAPP @t3688 (tptp.hAPP (tptp.hAPP @t3687 @t3671) @t88)) @t171))))) % 53.50/53.73 (assume @p2719 (forall @t1862 (= (= @t3759 (tptp.hAPP tptp.c_Int_ORep__Integ @t57)) @t165))) % 53.50/53.73 (assume @p2720 (forall @t43 (=> @t374 (=> @t404 (=> @t402 (= @t3762 @t38)))))) % 53.50/53.73 (assume @p2721 (forall @t43 (=> @t374 (=> @t3762 (=> @t404 (=> @t402 @t37)))))) % 53.50/53.73 (assume @p2722 (forall @t43 (=> @t374 (=> @t3762 (=> @t404 (=> @t402 @t36)))))) % 53.50/53.73 (assume @p2723 (forall @t167 (=> @t374 (= (= @t3764 @t3763) @t165)))) % 53.50/53.73 (assume @p2724 (forall @t3516 (= (exists @t1326 (and @t3766 @t3514)) (exists @t7 (and @t3765 @t180))))) % 53.50/53.73 (assume @p2725 (forall @t3516 (= (forall @t1326 (=> @t3766 @t3514)) (forall @t7 (=> @t3765 @t180))))) % 53.50/53.73 (assume @p2726 (forall @t978 (=> @t989 (= (tptp.hAPP @t3769 @t3768) (tptp.hAPP (tptp.hAPP @t3771 @t3770) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t971) @t3768)))))) % 53.50/53.73 (assume @p2727 (= (tptp.hAPP @t3739 @t3754) @t3220)) % 53.50/53.73 (assume @p2728 (forall @t3371 (= (tptp.hAPP @t3756 @t3491) @t3370))) % 53.50/53.73 (assume @p2729 (forall @t2534 (= (tptp.hAPP @t3772 @t1157) @t3187))) % 53.50/53.73 (assume @p2730 (forall @t1209 (= @t3753 @t3178))) % 53.50/53.73 (assume @p2731 (forall (@list @t676 @t25) (=> (tptp.hBOOL (tptp.hAPP @t3776 @t3774)) (= @t25 @t3774)))) % 53.50/53.73 (assume @p2732 (forall @t3371 (= (tptp.hAPP @t3188 @t3757) @t3636))) % 53.50/53.73 (assume @p2733 (forall @t78 (=> @t166 (=> @t1351 @t3777)))) % 53.50/53.73 (assume @p2734 (forall @t46 (=> @t166 (= @t3777 @t3778)))) % 53.50/53.74 (assume @p2735 (forall @t46 (=> @t166 (= (= @t30 @t3761) @t3778)))) % 53.50/53.74 (assume @p2736 (forall @t43 (=> @t374 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3761) @t3760)) (or @t1351 @t3480))))) % 53.50/53.74 (assume @p2737 (forall @t3484 (=> @t1316 (= (tptp.hAPP @t3200 (tptp.hAPP @t3780 @t692)) (tptp.hAPP @t3483 @t3779))))) % 53.50/53.74 (assume @p2738 (forall @t3611 (=> @t374 (=> @t3632 (=> @t3618 (= (tptp.hAPP @t3785 @t3783) @t3782)))))) % 53.50/53.74 (assume @p2739 (forall @t3487 (=> @t1316 (= (tptp.hAPP @t3200 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t822) @t820)) (tptp.hAPP @t3486 @t3779))))) % 53.50/53.74 (assume @p2740 (forall (@list @t673 @t672 @t972 @t8) (=> @t374 (=> (tptp.hBOOL (tptp.hAPP @t3787 @t672)) (= (tptp.hAPP (tptp.hAPP @t84 (tptp.hAPP @t3786 @t673)) (tptp.hAPP @t3786 @t672)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t672) @t673)))))) % 53.50/53.74 (assume @p2741 (forall @t135 (= (tptp.hAPP @t3789 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3791 @t29) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2858 (tptp.tc_fun @t3791 @t29) tptp.tc_Nat_Onat) @t3788) @t3752)) @t25)) @t3790))) % 53.50/53.74 (assume @p2742 (forall @t3611 (=> @t166 (= (tptp.hAPP @t3792 @t3783) @t30)))) % 53.50/53.74 (assume @p2743 (forall @t3371 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t3634) @t1024) @t3622))) % 53.50/53.74 (assume @p2744 (forall @t1209 (= @t3512 @t3793))) % 53.50/53.74 (assume @p2745 (forall @t2039 (= @t3195 @t3755))) % 53.50/53.74 (assume @p2746 (forall @t3189 (= (tptp.hAPP @t3188 (tptp.hAPP @t3754 @t1024)) @t3491))) % 53.50/53.74 (assume @p2747 (forall @t2039 (= (tptp.hAPP @t3754 @t703) (tptp.hAPP @t3794 @t3755)))) % 53.50/53.74 (assume @p2748 (forall @t3198 (=> @t1576 (= (tptp.hBOOL (tptp.hAPP @t3197 @t3795)) (tptp.hBOOL (tptp.hAPP @t3787 @t676)))))) % 53.50/53.74 (assume @p2749 (forall @t167 (=> @t166 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3764) @t3763)) @t164)))) % 53.50/53.74 (assume @p2750 (forall @t3801 (=> @t1316 (=> @t699 (=> @t3800 (= (tptp.hAPP @t3799 @t3797) @t3796)))))) % 53.50/53.74 (assume @p2751 (forall @t3801 (=> @t426 (=> @t699 (=> @t3800 (= (tptp.hAPP (tptp.hAPP @t267 @t3796) @t3798) @t3797)))))) % 53.50/53.74 (assume @p2752 (forall (@list @t676 @t1788 @t672 @t8) (= (tptp.hAPP @t3802 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t29 tptp.tc_Nat_Onat) @t1788) @t3485)) (tptp.hAPP (tptp.hAPP @t3788 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t676 @t820)) @t1788)))) % 53.50/53.74 (assume @p2753 (forall @t2534 (= (tptp.hAPP @t3772 @t769) (tptp.hAPP (tptp.hAPP @t3193 @t673) @t3187)))) % 53.50/53.74 (assume @p2754 (forall @t3611 (=> @t374 (=> @t3632 (=> @t3618 (= (tptp.hAPP @t3785 @t3612) @t3500)))))) % 53.50/53.74 (assume @p2755 (forall @t3611 (=> @t166 (= (tptp.hAPP @t3792 @t3612) @t30)))) % 53.50/53.74 (assume @p2756 (forall @t43 (=> @t374 (= (tptp.hAPP (tptp.hAPP @t486 @t3761) @t3760) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t3498) @t3497))))) % 53.50/53.74 (assume @p2757 (forall @t3503 (=> @t374 (=> @t3643 (= (tptp.hAPP @t3803 @t3782) @t3748))))) % 53.50/53.74 (assume @p2758 (forall @t3503 (=> @t166 (= (tptp.hAPP @t3502 @t3782) @t30)))) % 53.50/53.74 (assume @p2759 (forall @t3611 (=> @t166 (= (tptp.hAPP @t3614 @t3783) @t30)))) % 53.50/53.74 (assume @p2760 (forall (@list @t676 @t2 @t8) (=> @t1316 (=> (= @t2646 @t1160) (= (tptp.hAPP @t3200 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1322) @t676)) (tptp.hAPP @t3200 (tptp.hAPP @t3752 @t676))))))) % 53.50/53.74 (assume @p2761 (forall @t3336 (=> @t1316 (=> @t675 (= @t3798 (tptp.hAPP @t3504 (tptp.hAPP @t3200 (tptp.hAPP @t3780 @t672)))))))) % 53.50/53.74 (assume @p2762 (forall @t701 (and (=> @t699 (= @t3804 (tptp.hAPP (tptp.hAPP @t3193 @t672) @t3779))) (=> @t779 (= @t3804 @t3187))))) % 53.50/53.74 (assume @p2763 (forall @t3202 (=> @t1316 (= (tptp.hAPP @t3200 (tptp.hAPP @t3754 @t692)) (tptp.hAPP (tptp.hAPP @t844 (tptp.hAPP @t3200 @t3793)) @t3506))))) % 53.50/53.74 (assume @p2764 (= (tptp.hAPP @t3754 @t1157) @t3806)) % 53.50/53.74 (assume @p2765 (forall (@list @t35 @t32 @t33 @t8) (=> @t374 (= (tptp.hAPP (tptp.hAPP @t486 (tptp.hAPP @t3749 @t33)) @t3481) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t32 @t3497))))) % 53.50/53.74 (assume @p2766 (forall (@list @t35 @t33 @t13 @t8) (=> @t374 (= (tptp.hAPP @t3499 (tptp.hAPP @t3749 @t35)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t3497))))) % 53.50/53.74 (assume @p2767 (forall @t3503 (=> @t374 (=> @t3643 (= (tptp.hAPP @t3751 @t3616) @t3807))))) % 53.50/53.74 (assume @p2768 (forall @t3503 (=> @t166 (= (tptp.hAPP @t3808 @t3616) @t30)))) % 53.50/53.74 (assume @p2769 (forall @t3503 (=> @t166 (= (tptp.hAPP @t3808 @t3639) @t30)))) % 53.50/53.74 (assume @p2770 (forall @t3510 (=> @t1316 (and (=> @t696 (= @t3809 @t1160)) (=> @t772 (= @t3809 (tptp.hAPP @t3799 @t2644))))))) % 53.50/53.74 (assume @p2771 (forall @t3611 (=> @t374 (=> @t3620 (=> @t3618 (= (tptp.hAPP @t3617 @t3783) @t3639)))))) % 53.50/53.74 (assume @p2772 (forall (@list @t1788 @t672 @t8) (= (tptp.hAPP @t3802 @t1788) (tptp.hAPP (tptp.hAPP @t83 (tptp.hAPP (tptp.hAPP @t3788 @t3337) @t1788)) (tptp.hAPP @t1788 @t1157))))) % 53.50/53.74 (assume @p2773 (forall @t96 (= @t3141 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t8) tptp.c_Wellfounded_Oless__than)))) % 53.50/53.74 (assume @p2774 (forall @t3503 (=> @t374 (=> @t3643 (= (tptp.hAPP @t3810 @t3644) @t3500))))) % 53.50/53.74 (assume @p2775 (forall (@list @t1024 @t8) (=> @t374 (= (tptp.hAPP (tptp.hAPP @t83 @t3748) @t3644) @t3807)))) % 53.50/53.74 (assume @p2776 (forall @t3503 (=> @t374 (=> @t3646 (= (tptp.hAPP @t3642 @t3639) @t3782))))) % 53.50/53.74 (assume @p2777 (forall @t3503 (=> @t374 (=> @t3643 (= (tptp.hAPP @t3803 @t3500) @t3807))))) % 53.50/53.74 (assume @p2778 (forall @t3611 (=> @t374 (=> @t3632 (=> @t3640 (= (tptp.hAPP @t3637 @t3608) @t3782)))))) % 53.50/53.74 (assume @p2779 (forall @t2068 (= (tptp.c_Relation_Oirrefl @t8 @t2067) @t3811))) % 53.50/53.74 (assume @p2780 (forall @t3817 (=> (forall @t1878 (tptp.hBOOL (tptp.hAPP @t3816 @t3814))) (tptp.hBOOL (tptp.hAPP @t3813 @t3812))))) % 53.50/53.74 (assume @p2781 (forall @t3822 (= (tptp.hAPP @t3818 (tptp.hAPP (tptp.hAPP @t3821 @t3820) @t2067)) (tptp.hAPP (tptp.hAPP @t83 @t42) @t3819)))) % 53.50/53.74 (assume @p2782 (forall @t3817 (=> (forall @t1878 (= @t3815 @t3814)) (= @t3790 @t3812)))) % 53.50/53.74 (assume @p2783 (forall @t3371 (tptp.hBOOL (tptp.hAPP @t3569 @t3824)))) % 53.50/53.74 (assume @p2784 (forall @t3189 (tptp.hBOOL (tptp.hAPP @t3569 @t3826)))) % 53.50/53.74 (assume @p2785 (forall @t96 (= (tptp.hAPP @t3818 @t2947) @t30))) % 53.50/53.74 (assume @p2786 (forall @t3830 (=> @t3829 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3819) @t3827))))) % 53.50/53.74 (assume @p2787 (forall @t3830 (= (tptp.hAPP @t3818 @t3833) (tptp.hAPP (tptp.hAPP @t83 @t3819) @t3827)))) % 53.50/53.74 (assume @p2788 (forall @t2068 (=> @t3835 (tptp.hBOOL (tptp.hAPP @t334 @t3819))))) % 53.50/53.74 (assume @p2789 (forall @t3371 (= (tptp.hAPP @t3823 (tptp.hAPP (tptp.hAPP @t1617 @t1024) @t1708)) @t3545))) % 53.50/53.74 (assume @p2790 (forall @t3189 (= (tptp.hAPP @t3546 @t3826) @t3836))) % 53.50/53.74 (assume @p2791 (forall @t3371 (= (tptp.hAPP @t3546 @t3824) @t3638))) % 53.50/53.74 (assume @p2792 (forall @t3371 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t3603) @t1024) @t3604))) % 53.50/53.74 (assume @p2793 (forall @t1542 (=> (forall @t1878 (tptp.hBOOL (tptp.hAPP @t3816 @t171))) (tptp.hBOOL (tptp.hAPP @t3813 @t171))))) % 53.50/53.74 (assume @p2794 (forall @t135 (= @t3838 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t2945) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t2945 @t2945) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2944 (tptp.tc_fun @t2945 @t2945) @t8) @t3821) @t3837)) @t2947))))) % 53.50/53.74 (assume @p2795 (forall (@list @t48 @t57 @t32) (and (=> @t3841 (= @t3840 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t1896 @t32)) (tptp.hAPP (tptp.hAPP @t541 @t57) @t32)))) (=> (not @t3841) (and (=> @t1859 (= @t3840 @t3806)) (=> (not @t1859) (= @t3840 @t3187))))))) % 53.50/53.74 (assume @p2796 (forall (@list @t8 @t25 @t49 @t48 @t2 @t33) (=> @t3844 (=> @t345 (tptp.hBOOL (tptp.hAPP @t76 @t3843)))))) % 53.50/53.74 (assume @p2797 (forall @t3846 (=> @t415 (tptp.hBOOL (tptp.hAPP @t346 (tptp.hAPP @t3845 @t64)))))) % 53.50/53.74 (assume @p2798 (forall @t3850 (= (tptp.hAPP @t3672 @t3849) (tptp.hAPP @t3848 @t88)))) % 53.50/53.74 (assume @p2799 (forall (@list @t88 @t25 @t1685 @t2 @t8 @t49) (= (tptp.hAPP @t3842 @t3690) (tptp.hAPP @t3758 (tptp.hAPP (tptp.hAPP @t3851 @t3842) @t88))))) % 53.50/53.74 (assume @p2800 (forall @t3854 (= (tptp.hAPP (tptp.hAPP @t3671 @t3853) @t88) (tptp.hAPP @t3758 @t3852)))) % 53.50/53.74 (assume @p2801 (forall (@list @t88 @t13 @t2 @t8 @t49) (= (tptp.hAPP @t3842 @t3856) (tptp.hAPP (tptp.hAPP @t26 @t794) @t3855)))) % 53.50/53.74 (assume @p2802 (forall @t3857 (= (tptp.hAPP @t3842 @t492) (tptp.hAPP (tptp.hAPP @t83 @t3843) @t3855)))) % 53.50/53.74 (assume @p2803 (forall @t3859 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3843) @t88)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1051 @t3858) @t2588))))) % 53.50/53.74 (assume @p2804 (forall @t3865 (=> @t115 @t3864))) % 53.50/53.74 (assume @p2805 (forall @t3868 (= @t3867 (exists (@list @t3866) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 @t3866) @t25)) (= @t88 (tptp.hAPP @t3842 @t3866))))))) % 53.50/53.74 (assume @p2806 (forall (@list @t1 @t2 @t1685 @t8 @t49) (= (tptp.hAPP (tptp.c_Set_Oimage @t49 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1685 @t8 @t49) @t2) @t1)) @t2653) (tptp.hAPP @t3870 (tptp.hAPP @t3869 @t2653))))) % 53.50/53.74 (assume @p2807 (forall (@list @t25 @t1 @t1685 @t2 @t8 @t49) (= (tptp.hAPP @t3842 (tptp.hAPP @t3872 @t25)) (tptp.hAPP (tptp.c_Set_Oimage @t1685 @t8 (tptp.hAPP (tptp.hAPP @t3871 @t2) @t1)) @t25)))) % 53.50/53.74 (assume @p2808 (forall @t3857 (=> (= @t3843 @t88) (= @t3858 @t2588)))) % 53.50/53.74 (assume @p2809 (forall @t3854 (= (tptp.hAPP (tptp.hAPP @t3348 @t3853) @t88) (tptp.hAPP @t3689 @t3852)))) % 53.50/53.74 (assume @p2810 (forall @t3850 (= (tptp.hAPP @t3349 @t3849) (tptp.hAPP (tptp.hAPP @t3424 @t3847) @t88)))) % 53.50/53.74 (assume @p2811 (forall (@list @t49 @t2 @t33 @t25 @t48 @t8) (=> @t149 (=> @t3844 (tptp.hBOOL (tptp.hAPP @t3664 @t3862)))))) % 53.50/53.74 (assume @p2812 (forall @t3873 (=> @t149 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t343 @t94) @t3862))))) % 53.50/53.74 (assume @p2813 (forall (@list @t25 @t2 @t49 @t79 @t8) (= (tptp.hBOOL (tptp.hAPP @t3099 @t3843)) (exists @t7 (and @t3377 (= @t79 @t5)))))) % 53.50/53.74 (assume @p2814 (forall @t2720 (= (= @t30 @t3843) @t3874))) % 53.50/53.74 (assume @p2815 (forall @t3875 (= (tptp.hAPP @t3842 @t81) @t30))) % 53.50/53.74 (assume @p2816 (forall @t3876 (= (= @t3843 @t30) @t3874))) % 53.50/53.74 (assume @p2817 (forall @t3873 (=> @t149 (= (tptp.hAPP (tptp.hAPP @t337 @t94) @t3862) @t3862)))) % 53.50/53.74 (assume @p2818 (forall (@list @t49 @t48 @t2 @t8) (tptp.hBOOL (tptp.hAPP @t3878 @t3877)))) % 53.50/53.74 (assume @p2819 (forall (@list @t49 @t8 @t48 @t2 @t33) (=> @t3844 (tptp.hBOOL (tptp.hAPP @t76 @t3877))))) % 53.50/53.74 (assume @p2820 (forall (@list @t2 @t88 @t49 @t25 @t8) (=> @t335 (=> @t3879 @t495)))) % 53.50/53.74 (assume @p2821 (forall @t3859 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP @t3842 @t630)) (tptp.hAPP (tptp.hAPP @t486 @t3843) @t3855))))) % 53.50/53.74 (assume @p2822 (forall @t3859 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP (tptp.hAPP @t84 @t3843) @t3855)) (tptp.hAPP @t3842 @t3880))))) % 53.50/53.74 (assume @p2823 (forall @t167 (=> @t328 (= (tptp.hAPP @t3881 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t48 @t57)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t2088 @t2089))))) % 53.50/53.74 (assume @p2824 (forall @t3885 (= (tptp.hAPP @t3884 @t3770) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t3883) @t3882)))) % 53.50/53.74 (assume @p2825 (forall @t3885 (= (tptp.hAPP @t3884 @t3886) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3883 @t3882)))) % 53.50/53.74 (assume @p2826 (forall @t167 (=> @t328 (= (tptp.hAPP @t3881 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t48 @t57)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t2088 @t2089))))) % 53.50/53.74 (assume @p2827 (forall @t3458 (and (=> @t67 (= @t3887 @t81)) (=> @t68 @t3888)))) % 53.50/53.74 (assume @p2828 (forall (@list @t2 @t1685 @t1 @t49 @t8) (=> (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP @t3889 @t2653))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t1685) (tptp.hAPP (tptp.c_Set_Oimage @t49 @t1685 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t1685 @t49) @t2) @t1)) @t2653)))))) % 53.50/53.74 (assume @p2829 (forall @t3891 (= (tptp.hAPP @t3890 @t3770) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t974) @t3768)))) % 53.50/53.74 (assume @p2830 (forall @t3891 (= (tptp.hAPP @t3890 @t3886) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t974 @t3768)))) % 53.50/53.74 (assume @p2831 (forall @t135 (= @t3838 (tptp.hAPP @t3896 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 tptp.tc_HOL_Obool @t29) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3894 (tptp.tc_fun tptp.tc_HOL_Obool @t29) @t8) (tptp.c_COMBC @t8 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t3895 tptp.c_fequal))) @t25))))) % 53.50/53.74 (assume @p2832 (forall (@list @t1067 @t2 @t8 @t49) (= (tptp.hAPP @t3842 (tptp.c_Complete__Lattice_OSup__class_OSup @t80 @t1067)) (tptp.hAPP (tptp.hAPP @t3699 @t1067) @t3842)))) % 53.50/53.74 (assume @p2833 (forall @t3898 (=> @t335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t3897) @t504))))) % 53.50/53.74 (assume @p2834 (forall @t167 (=> @t328 (= (tptp.hAPP @t3881 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t48) @t57)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t2088 @t2089))))) % 53.50/53.74 (assume @p2835 (forall @t167 (=> @t328 (= (tptp.hAPP @t3881 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t48 @t57)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t2088) @t2089))))) % 53.50/53.74 (assume @p2836 (forall (@list @t32 @t49 @t25 @t48 @t8) (=> @t149 @t3888))) % 53.50/53.74 (assume @p2837 (forall @t3876 (= @t3843 (tptp.hAPP @t3672 (tptp.hAPP (tptp.hAPP @t3415 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t2844 @t49) @t26) @t2)) @t30))))) % 53.50/53.74 (assume @p2838 (forall @t96 (= (tptp.c_Relation_OId__on @t8 @t30) @t2947))) % 53.50/53.74 (assume @p2839 (forall @t3898 (=> @t335 (= @t3862 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t80 @t8 @t490) (tptp.hAPP (tptp.hAPP @t3462 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t49 @t3459 @t8) @t337) @t2)) @t81)) @t81) @t25))))) % 53.50/53.74 (assume @p2840 (forall @t1209 (= @t3201 (tptp.hAPP @t3805 (tptp.hAPP @t3884 @t3178))))) % 53.50/53.74 (assume @p2841 (forall @t60 (= (tptp.hBOOL (tptp.hAPP @t3144 @t3838)) (and @t165 @t149)))) % 53.50/53.74 (assume @p2842 (forall @t195 (=> @t44 (=> @t118 (tptp.hBOOL (tptp.hAPP @t3899 @t3838)))))) % 53.50/53.74 (assume @p2843 (forall @t3375 (=> @t1183 (=> @t1084 (=> @t3901 (= (tptp.hAPP @t2086 (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1067)) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t3900))))))) % 53.50/53.74 (assume @p2844 (forall @t3375 (=> @t1183 (=> @t1084 (=> @t3901 (= (tptp.hAPP @t2086 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1067)) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t3900))))))) % 53.50/53.74 (assume @p2845 (forall @t3876 (=> @t3904 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP @t2197 @t3843)) (tptp.hAPP @t3842 @t3903)))))) % 53.50/53.74 (assume @p2846 (forall @t2200 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 @t32) @t3838)) (not (forall @t7 (=> @t183 (not (= @t32 @t2962)))))))) % 53.50/53.74 (assume @p2847 (= (tptp.hAPP @t3905 @t1157) (tptp.hAPP @t3884 @t3220))) % 53.50/53.74 (assume @p2848 (forall (@list @t2 @t1685 @t25 @t33 @t13 @t49 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3908 @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3907 @t3041) (tptp.hAPP (tptp.c_Set_Oimage @t2660 @t1685 @t3906) @t25)))))) % 53.50/53.74 (assume @p2849 (forall @t3915 (= (tptp.hAPP (tptp.hAPP @t3914 @t25) @t88) (tptp.hAPP @t3913 (tptp.hAPP (tptp.hAPP @t3912 @t3911) @t3910))))) % 53.50/53.74 (assume @p2850 (forall @t135 (not (exists @t3917 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t29 @t3916) @t25) @t2585))))) % 53.50/53.74 (assume @p2851 (forall @t3918 (= (tptp.hAPP @t3913 @t3911) @t25))) % 53.50/53.74 (assume @p2852 (forall @t3915 (= @t112 (= @t3911 @t3910)))) % 53.50/53.74 (assume @p2853 (forall @t3915 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3920 @t25) @t88)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3919 @t3911) @t3910))))) % 53.50/53.74 (assume @p2854 (forall @t167 (=> @t374 (= (= @t3923 @t3922) @t165)))) % 53.50/53.74 (assume @p2855 (forall @t3915 (= (tptp.hAPP (tptp.hAPP @t3771 @t25) @t88) (tptp.hAPP @t3913 (tptp.hAPP (tptp.hAPP @t3924 @t3911) @t3910))))) % 53.50/53.74 (assume @p2856 (forall @t3926 (= (tptp.hBOOL (tptp.hAPP @t3925 @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3560 @t1861) @t3911))))) % 53.50/53.74 (assume @p2857 (forall @t3927 (= (tptp.hAPP @t3818 (tptp.c_Complete__Lattice_OSup__class_OSup @t2945 @t2733)) (tptp.c_Complete__Lattice_OSup__class_OSup @t29 (tptp.hAPP (tptp.c_Set_Oimage @t2945 @t29 @t3818) @t2733))))) % 53.50/53.74 (assume @p2858 (forall @t2781 (=> @t3930 (= (tptp.hAPP (tptp.hAPP @t3929 @t2) @t25) (tptp.hAPP (tptp.hAPP @t3928 @t2952) @t3911))))) % 53.50/53.74 (assume @p2859 (forall @t3934 (= @t3933 @t3673))) % 53.50/53.74 (assume @p2860 (forall @t3379 (= @t3673 @t3933))) % 53.50/53.74 (assume @p2861 (forall @t3934 (= @t3935 @t3350))) % 53.50/53.74 (assume @p2862 (forall @t3379 (= @t3350 @t3935))) % 53.50/53.74 (assume @p2863 (forall @t3915 (= (tptp.hBOOL (tptp.hAPP @t3776 @t88)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3936 @t3911) @t3910))))) % 53.50/53.74 (assume @p2864 (forall @t3198 (=> @t1576 (= (tptp.hBOOL (tptp.hAPP @t3197 @t3937)) (tptp.hBOOL (tptp.hAPP @t3626 @t972)))))) % 53.50/53.74 (assume @p2865 (forall @t167 (=> @t374 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3923) @t3922)) @t162)))) % 53.50/53.74 (assume @p2866 (forall @t3412 (= (tptp.hAPP @t3692 @t3681) (tptp.hAPP (tptp.hAPP @t83 (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t3939)) (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t3938))))) % 53.50/53.74 (assume @p2867 (forall @t2781 (=> @t3930 (= (tptp.hAPP @t3200 @t25) (tptp.hAPP (tptp.hAPP @t3940 @t2952) @t3911))))) % 53.50/53.74 (assume @p2868 (forall @t3412 (= (tptp.hAPP @t3404 @t3387) (tptp.hAPP (tptp.hAPP @t486 (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t3939)) (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t3938))))) % 53.50/53.74 (assume @p2869 (forall @t31 (= (tptp.hAPP @t2584 @t28) (tptp.hAPP @t2604 (tptp.hAPP (tptp.c_Set_Oimage @t29 @t29 @t27) @t2585))))) % 53.50/53.74 (assume @p2870 (forall @t3918 (= (tptp.hBOOL (tptp.hAPP @t3186 @t25)) (tptp.hBOOL (tptp.hAPP @t3569 @t3911))))) % 53.50/53.74 (assume @p2871 (forall @t3918 (= @t3773 (tptp.hAPP @t3546 @t3911)))) % 53.50/53.74 (assume @p2872 (forall @t2985 (=> @t374 (= (tptp.hAPP @t2197 @t3937) @t3795)))) % 53.50/53.74 (assume @p2873 (forall @t2985 (=> @t374 (= (tptp.hAPP @t2197 @t3795) @t3937)))) % 53.50/53.74 (assume @p2874 (= @t3187 (tptp.hAPP @t3913 @t3542))) % 53.50/53.74 (assume @p2875 (= @t3542 (tptp.hAPP @t3909 @t3187))) % 53.50/53.74 (assume @p2876 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t2858) @t3220) @t3905) @t3187)) % 53.50/53.74 (assume @p2877 (forall @t701 (= @t3331 (tptp.hAPP @t3913 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1871 @t1868))))) % 53.50/53.74 (assume @p2878 (forall @t3371 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2966 @t1617) @t1695)) (tptp.hAPP @t3825 @t3544)) @t3824))) % 53.50/53.74 (assume @p2879 (forall @t3941 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t8 @t2822) @t3518) @t3518))) % 53.50/53.74 (assume @p2880 (forall @t3503 (=> @t166 (= (tptp.hAPP (tptp.hAPP @t486 @t3500) @t3942) @t30)))) % 53.50/53.74 (assume @p2881 (forall @t3503 (=> @t374 (=> @t3643 (= (tptp.hAPP (tptp.hAPP @t83 @t3616) @t3942) @t3943))))) % 53.50/53.74 (assume @p2882 (forall @t54 (=> @t328 (= (tptp.hAPP @t3881 @t3192) (tptp.hAPP @t3921 @t2089))))) % 53.50/53.74 (assume @p2883 (forall @t54 (=> @t328 (= (tptp.hAPP @t3881 @t3923) (tptp.hAPP @t3190 @t2089))))) % 53.50/53.74 (assume @p2884 (forall @t3503 (=> @t166 (= (tptp.hAPP (tptp.hAPP @t486 @t3616) @t3942) @t30)))) % 53.50/53.74 (assume @p2885 (forall @t2039 (= (tptp.hAPP @t3905 @t703) (tptp.hAPP (tptp.hAPP @t3945 @t3944) (tptp.hAPP @t3794 @t3187))))) % 53.50/53.74 (assume @p2886 (forall @t1209 (= @t3793 (tptp.hAPP @t3913 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1711 @t1868))))) % 53.50/53.74 (assume @p2887 (forall @t701 (=> (tptp.c_Nat__Transfer_Ois__nat @t673) (=> (tptp.c_Nat__Transfer_Ois__nat @t672) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t673 @t672) (tptp.hAPP @t3909 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t673) (tptp.hAPP tptp.c_Int_Onat @t672)))))))) % 53.50/53.74 (assume @p2888 (forall @t3189 (=> (tptp.hBOOL (tptp.hAPP @t1713 @t1024)) (= @t3826 (tptp.hAPP @t3909 (tptp.hAPP @t3177 @t3836)))))) % 53.50/53.74 (assume @p2889 (forall (@list @t57 @t2 @t49 @t25 @t48 @t8) (and (=> @t149 (= @t3947 (tptp.hAPP (tptp.hAPP @t337 @t57) (tptp.hAPP @t3860 @t243)))) (=> @t241 (= @t3947 @t3862))))) % 53.50/53.74 (assume @p2890 (forall @t3953 (=> @t374 (=> @t3952 (=> @t1791 (=> @t3950 (= (tptp.hAPP @t1153 (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 @t1789)) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 @t3949)))))))) % 53.50/53.74 (assume @p2891 (forall @t3953 (=> @t374 (=> @t3954 (=> @t1791 (=> @t3950 (= (tptp.hAPP @t1153 (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 @t1789)) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 @t3949)))))))) % 53.50/53.74 (assume @p2892 (forall @t3955 (= (tptp.c_Fun_Ofun__upd @t8 @t49 @t2 @t48 @t94) @t2))) % 53.50/53.74 (assume @p2893 (forall (@list @t8 @t49 @t57 @t48 @t2) (=> @t3957 (= @t3956 @t2)))) % 53.50/53.74 (assume @p2894 (forall @t3962 @t3961)) % 53.50/53.74 (assume @p2895 (forall (@list @t35 @t33 @t673 @t49 @t8 @t32 @t13) (=> (not @t37) (= (tptp.c_Fun_Ofun__upd @t8 @t49 (tptp.c_Fun_Ofun__upd @t8 @t49 @t673 @t13 @t33) @t32 @t35) (tptp.c_Fun_Ofun__upd @t8 @t49 (tptp.c_Fun_Ofun__upd @t8 @t49 @t673 @t32 @t35) @t13 @t33))))) % 53.50/53.74 (assume @p2896 (forall @t3962 (and (=> @t3960 (= @t3959 @t57)) @t3961))) % 53.50/53.74 (assume @p2897 (forall (@list @t57 @t48 @t2 @t8 @t49) (= (tptp.hAPP @t3956 @t48) @t57))) % 53.50/53.74 (assume @p2898 (forall @t644 (= (tptp.c_Fun_Ofun__upd @t8 @t49 @t3946 @t48 @t79) (tptp.c_Fun_Ofun__upd @t8 @t49 @t2 @t48 @t79)))) % 53.50/53.74 (assume @p2899 (forall @t3963 (= (= @t3946 @t2) @t3957))) % 53.50/53.74 (assume @p2900 (forall (@list @t33 @t2 @t49 @t8 @t13 @t48) (and (=> @t3965 (= @t3964 @t33)) (=> (not @t3965) (= @t3964 @t94))))) % 53.50/53.74 (assume @p2901 (forall @t3915 (=> @t3970 (=> @t3969 (= @t3968 (tptp.hAPP @t3909 (tptp.hAPP (tptp.hAPP @t3914 @t3967) @t3966))))))) % 53.50/53.74 (assume @p2902 (forall @t3915 (=> @t3970 (=> @t3969 (= @t3971 (tptp.hAPP @t3909 (tptp.hAPP (tptp.hAPP @t3771 @t3967) @t3966))))))) % 53.50/53.74 (assume @p2903 (forall @t1323 (=> @t3930 (=> @t3970 (= @t3973 (tptp.hAPP (tptp.hAPP @t3929 @t3972) @t3967)))))) % 53.50/53.74 (assume @p2904 (tptp.c_Nat__Transfer_Onat__set @t3542)) % 53.50/53.74 (assume @p2905 (forall @t3915 (=> @t3970 (=> @t3969 (tptp.c_Nat__Transfer_Onat__set @t3968))))) % 53.50/53.74 (assume @p2906 (forall @t3915 (=> @t3970 (=> @t3969 (tptp.c_Nat__Transfer_Onat__set @t3971))))) % 53.50/53.74 (assume @p2907 (forall (@list @t1067) (= (tptp.c_Nat__Transfer_Onat__set @t1067) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t3598 @t1067)) @t1857))))) % 53.50/53.74 (assume @p2908 (forall (@list @t171) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t3909 @t171)))) % 53.50/53.74 (assume @p2909 (forall @t3915 (=> @t3970 (=> @t3969 (= @t112 (= @t3967 @t3966)))))) % 53.50/53.74 (assume @p2910 (forall @t1862 (=> @t2682 @t3974))) % 53.50/53.74 (assume @p2911 (forall @t3976 (=> @t3970 (=> @t3975 @t2682)))) % 53.50/53.74 (assume @p2912 (forall @t1862 (=> @t1928 @t3974))) % 53.50/53.74 (assume @p2913 (forall @t3976 (=> @t3970 (=> @t3975 @t1928)))) % 53.50/53.74 (assume @p2914 (forall @t3918 (=> @t3970 (= (tptp.hAPP @t3909 @t3967) @t25)))) % 53.50/53.74 (assume @p2915 (forall @t3918 (=> @t3970 (= (tptp.hBOOL (tptp.hAPP @t3569 @t25)) (tptp.hBOOL (tptp.hAPP @t3186 @t3967)))))) % 53.50/53.74 (assume @p2916 (forall @t3918 (=> @t3970 (= (tptp.hAPP @t3546 @t25) (tptp.hAPP @t3188 @t3967))))) % 53.50/53.74 (assume @p2917 (forall @t3926 (=> @t2682 (=> @t3970 (= @t3975 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3205 @t2445) @t3967))))))) % 53.50/53.74 (assume @p2918 (forall @t3915 (=> @t3970 (=> @t3969 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3936 @t25) @t88)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3775 @t3967) @t3966))))))) % 53.50/53.74 (assume @p2919 (forall @t3915 (=> @t3970 (=> @t3969 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3919 @t25) @t88)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3920 @t3967) @t3966))))))) % 53.50/53.74 (assume @p2920 (forall @t1323 (=> @t3930 (=> @t3970 (= @t3978 (tptp.hAPP (tptp.hAPP @t3199 @t3972) @t3967)))))) % 53.50/53.74 (assume @p2921 (forall @t2039 (= @t3980 (tptp.hAPP (tptp.hAPP @t3945 (tptp.hAPP @t3979 @t676)) (tptp.hAPP @t3194 @t3187))))) % 53.50/53.74 (assume @p2922 (forall @t3953 (=> @t374 (=> @t3952 (=> @t1791 (=> @t3950 (= (tptp.hAPP @t1153 @t3300) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t3949)))))))) % 53.50/53.74 (assume @p2923 (forall @t3953 (=> @t374 (=> @t3954 (=> @t1791 (=> @t3950 (= (tptp.hAPP @t1153 @t1790) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t3949)))))))) % 53.50/53.74 (assume @p2924 (forall @t167 (=> @t374 (= (= @t3983 @t3982) @t165)))) % 53.50/53.74 (assume @p2925 (forall @t3198 (=> @t1576 (= (tptp.hBOOL (tptp.hAPP @t3197 @t3984)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t676) @t972)))))) % 53.50/53.74 (assume @p2926 (forall @t167 (=> @t166 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3983) @t3982)) @t162)))) % 53.50/53.74 (assume @p2927 (= (tptp.hAPP @t3979 @t1157) @t3220)) % 53.50/53.74 (assume @p2928 (forall @t2985 (=> @t374 (= (tptp.hAPP @t2197 @t3196) @t3984)))) % 53.50/53.74 (assume @p2929 (forall @t2985 (=> @t374 (= (tptp.hAPP @t2197 @t3984) @t3196)))) % 53.50/53.74 (assume @p2930 (forall @t2039 (= @t3980 @t3944))) % 53.50/53.74 (assume @p2931 (forall @t3503 (=> @t374 (=> @t3643 (= (tptp.hAPP @t3810 @t3986) @t3985))))) % 53.50/53.74 (assume @p2932 (forall @t3503 (=> @t166 (= (tptp.hAPP (tptp.hAPP @t486 @t3782) @t3986) @t30)))) % 53.50/53.74 (assume @p2933 (forall (@list @t35 @t32 @t13 @t8) (=> @t374 (= (tptp.hAPP (tptp.hAPP @t486 (tptp.hAPP @t3981 @t13)) @t3481) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t3498 @t35))))) % 53.50/53.74 (assume @p2934 (forall @t853 (=> @t374 (= (tptp.hAPP @t3499 (tptp.hAPP @t3981 @t32)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t3498 @t33))))) % 53.50/53.74 (assume @p2935 (= (tptp.hAPP @t3739 @t3979) @t3220)) % 53.50/53.74 (assume @p2936 (forall @t3503 (=> @t166 (= (tptp.hAPP (tptp.hAPP @t486 @t3639) @t3986) @t30)))) % 53.50/53.74 (assume @p2937 (forall @t54 (=> @t328 (= (tptp.hAPP @t3881 @t3764) (tptp.hAPP @t3981 @t2089))))) % 53.50/53.74 (assume @p2938 (forall @t54 (=> @t328 (= (tptp.hAPP @t3881 @t3983) (tptp.hAPP @t3749 @t2089))))) % 53.50/53.74 (assume @p2939 (forall @t1889 (=> @t166 (= (tptp.hAPP (tptp.hAPP @t486 (tptp.hAPP @t3749 @t672)) (tptp.hAPP @t3981 @t672)) (tptp.hAPP (tptp.hAPP @t26 @t672) @t30))))) % 53.50/53.74 (assume @p2940 (forall (@list @t1695 @t8) (=> @t374 (= (tptp.hAPP @t3642 @t3943) @t3985)))) % 53.50/53.74 (assume @p2941 (forall @t3503 (=> @t374 (=> @t3643 (= (tptp.hAPP (tptp.hAPP @t83 @t3500) @t3942) @t3985))))) % 53.50/53.74 (assume @p2942 (forall @t3503 (=> @t374 (=> @t3646 (= (tptp.hAPP @t3645 @t3986) @t3943))))) % 53.50/53.74 (assume @p2943 (forall @t3953 (=> @t268 (=> (forall @t435 (= (tptp.hAPP @t1153 @t795) (tptp.hAPP (tptp.hAPP @t528 @t1155) @t3951))) (=> @t1791 (=> @t3950 (= (tptp.hAPP @t1153 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t1789)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t3949)))))))) % 53.50/53.74 (assume @p2944 (forall @t3953 (=> @t268 (=> (forall @t435 (= (tptp.hAPP @t1153 @t635) (tptp.hAPP (tptp.hAPP @t137 @t1155) @t3951))) (=> @t1791 (=> @t3950 (= (tptp.hAPP @t1153 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t1789)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t3949)))))))) % 53.50/53.74 (assume @p2945 (forall @t3953 (=> @t482 (=> (forall @t435 (= (tptp.hAPP @t1153 @t485) (tptp.hAPP (tptp.hAPP @t465 @t1155) @t3951))) (=> @t1791 (=> @t3950 (= (tptp.hAPP @t1153 (tptp.hAPP @t469 @t1789)) (tptp.hAPP @t469 @t3949)))))))) % 53.50/53.74 (assume @p2946 (forall @t1862 (= (= (tptp.hAPP @t3987 (tptp.hAPP @t3520 @t3536)) (tptp.hAPP @t3987 (tptp.hAPP @t3548 @t3536))) (tptp.hBOOL (tptp.hAPP @t3526 tptp.c_Int_Ointrel))))) % 53.50/53.74 (assume @p2947 (forall @t3989 (=> @t3930 (=> @t112 (=> @t3969 (=> @t3988 (= @t3973 (tptp.hAPP (tptp.hAPP @t3928 @t1) @t88)))))))) % 53.50/53.74 (assume @p2948 (forall @t3989 (=> @t3930 (=> @t112 (=> @t3969 (=> @t3988 (= @t3978 (tptp.hAPP (tptp.hAPP @t3940 @t1) @t88)))))))) % 53.50/53.74 (assume @p2949 (forall (@list @t88 @t25 @t1685 @t2067 @t8 @t49) (= (tptp.hAPP @t3990 @t3690) (tptp.hAPP @t3758 @t3991)))) % 53.50/53.74 (assume @p2950 (forall @t3993 (= (tptp.hAPP @t3992 @t81) @t30))) % 53.50/53.74 (assume @p2951 (forall (@list @t88 @t25 @t2733 @t8 @t49) (= (tptp.hAPP @t3992 @t492) (tptp.hAPP @t3996 @t3994)))) % 53.50/53.74 (assume @p2952 (forall @t3999 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3998) @t3997)))) % 53.50/53.74 (assume @p2953 (forall (@list @t25 @t4002 @t2067 @t4003 @t49 @t8) (=> @t4004 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4002) @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t49 @t4003) @t4002)) @t4001)))))) % 53.50/53.74 (assume @p2954 (forall (@list @t25 @t1067 @t2733 @t8 @t49) (= (tptp.hAPP (tptp.c_Relation_OImage @t49 @t8 (tptp.hAPP (tptp.hAPP @t4007 @t2733) @t1067)) @t25) (tptp.hAPP @t3996 (tptp.hAPP (tptp.c_Relation_OImage @t49 @t8 @t1067) @t25))))) % 53.50/53.74 (assume @p2955 (forall @t116 (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t3838) @t88) @t488))) % 53.50/53.74 (assume @p2956 (forall (@list @t88 @t25 @t1685 @t2067 @t49 @t8) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4011) @t4008)))) % 53.50/53.74 (assume @p2957 (forall @t4017 (= @t4016 (exists @t7 (and @t3377 @t4014))))) % 53.50/53.74 (assume @p2958 (forall (@list @t2067 @t33 @t49 @t25 @t13 @t8) (=> @t118 (=> @t4018 (tptp.hBOOL (tptp.hAPP @t3664 @t4001)))))) % 53.50/53.74 (assume @p2959 (forall (@list @t88 @t2067 @t8 @t49) (= (tptp.hAPP @t3990 @t88) (tptp.hAPP @t3678 (tptp.hAPP (tptp.hAPP @t4020 @t3990) @t4019))))) % 53.50/53.74 (assume @p2960 (forall (@list @t13 @t2067 @t49 @t33 @t8) (= (tptp.hBOOL (tptp.hAPP @t76 @t4023)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4013 @t4022) @t2067))))) % 53.50/53.74 (assume @p2961 (forall (@list @t971 @t972 @t8) (=> @t1451 (= (tptp.hAPP @t2612 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3519 (tptp.hAPP (tptp.hAPP @t2986 @t972) @t971)) @t3536)))) (tptp.hAPP (tptp.hAPP @t267 (tptp.hAPP @t1848 @t972)) (tptp.hAPP @t1848 @t971)))))) % 53.50/53.74 (assume @p2962 (= @t1708 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3519 (tptp.hAPP (tptp.hAPP @t2986 @t638) @t1157)) @t3536))))) % 53.50/53.74 (assume @p2963 (forall @t3652 (= (tptp.hAPP (tptp.hAPP @t1624 @t4027) @t4026) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3519 (tptp.hAPP (tptp.hAPP @t2986 (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t4025 @t1024)) (tptp.hAPP @t4024 @t1088))) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t4025 @t1088)) (tptp.hAPP @t4024 @t1024)))) @t3536)))))) % 53.50/53.74 (assume @p2964 (forall @t1929 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t3759) @t48))) % 53.50/53.74 (assume @p2965 (forall @t1862 (= (tptp.hAPP @t2062 @t4027) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3519 (tptp.hAPP (tptp.hAPP @t2986 @t57) @t48)) @t3536)))))) % 53.50/53.74 (assume @p2966 (= @t1711 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3519 (tptp.hAPP @t2992 @t1157)) @t3536))))) % 53.50/53.74 (assume @p2967 (forall @t2534 (= @t1871 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3519 (tptp.hAPP @t4028 @t1157)) @t3536)))))) % 53.50/53.74 (assume @p2968 (forall @t3652 (= (tptp.hAPP (tptp.hAPP @t1617 @t4027) @t4026) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3519 (tptp.hAPP (tptp.hAPP @t2986 (tptp.hAPP @t3649 @t1024)) (tptp.hAPP (tptp.hAPP @t796 @t57) @t1088))) @t3536)))))) % 53.50/53.74 (assume @p2969 (forall @t1862 (= (tptp.hAPP tptp.c_Int_Onat @t4027) @t1897))) % 53.50/53.74 (assume @p2970 (forall @t1718 (= (tptp.hAPP @t2062 @t79) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3113 @t3521) @t3747) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3521) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4031 @t4031 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t3521 @t3521 tptp.tc_Nat_Onat) @t3987)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3521 @t4031) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4030 (tptp.tc_fun @t3521 @t4031) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t3521 @t3521)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3114 @t4030 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t3113 @t4029 tptp.tc_Nat_Onat) @t3519)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3113) @t2986)))) @t3536)))))))) % 53.50/53.74 (assume @p2971 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t4027) @t4026)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t3650) @t3648))))) % 53.50/53.74 (assume @p2972 (forall @t3652 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t4027) @t4026)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t3650) @t3648))))) % 53.50/53.74 (assume @p2973 (forall @t1718 (not (forall @t435 (not (= @t79 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3519 @t3168) @t3536))))))))) % 53.50/53.74 (assume @p2974 (forall @t4037 (= @t4036 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t1048) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1048 @t1048) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 @t4034 @t8) @t1054) (tptp.hAPP (tptp.hAPP @t4033 @t4032) @t2842))) @t1049))))) % 53.50/53.74 (assume @p2975 (forall @t4017 (=> @t4016 (not (forall @t7 (=> @t4014 (not @t3377))))))) % 53.50/53.74 (assume @p2976 (forall @t4037 (= (= @t4036 @t1049) @t67))) % 53.50/53.74 (assume @p2977 (forall @t4037 (= (= @t1049 @t4036) @t67))) % 53.50/53.74 (assume @p2978 (forall @t2068 (= (tptp.hAPP (tptp.hAPP @t4035 @t30) @t2067) @t1049))) % 53.50/53.74 (assume @p2979 (forall (@list @t2067 @t25 @t48 @t8) (=> @t149 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t4038) @t4036))))) % 53.50/53.74 (assume @p2980 (forall @t4040 (= @t4039 (tptp.hAPP (tptp.hAPP @t1054 @t4038) @t1049)))) % 53.50/53.74 (assume @p2981 (forall (@list @t33 @t13 @t48 @t2067 @t25 @t8) (=> @t4044 (=> (tptp.hBOOL (tptp.hAPP @t148 (tptp.hAPP (tptp.hAPP @t486 @t4043) @t4042))) @t4041)))) % 53.50/53.74 (assume @p2982 (forall (@list @t13 @t33 @t2067 @t25 @t8) (=> @t4044 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4042) @t4043)) @t4045)))) % 53.50/53.74 (assume @p2983 (forall (@list @t2067 @t25 @t461 @t8) (=> @t4046 (not (forall @t7 (=> (= @t461 (tptp.hAPP @t4032 @t430)) @t249)))))) % 53.50/53.74 (assume @p2984 (tptp.c_Equiv__Relations_Oequiv @t3113 @t4047 tptp.c_Int_Ointrel)) % 53.50/53.74 (assume @p2985 (forall @t4037 (=> @t4044 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t4036) @t25)))) % 53.50/53.74 (assume @p2986 (forall @t4048 (=> @t4044 (=> @t118 (tptp.hBOOL (tptp.hAPP @t117 @t4043)))))) % 53.50/53.74 (assume @p2987 (forall (@list @t3518 @t461 @t2067 @t25 @t8) (=> @t4044 (=> @t4046 (=> @t4050 (or @t4049 (= (tptp.hAPP (tptp.hAPP @t486 @t461) @t3518) @t30))))))) % 53.50/53.74 (assume @p2988 (forall @t4052 (=> @t4044 (=> @t4041 @t4051)))) % 53.50/53.74 (assume @p2989 (forall @t4056 (=> @t4044 (=> @t4046 (=> @t4050 (=> @t4055 (=> @t4054 (= @t4049 @t4053)))))))) % 53.50/53.74 (assume @p2990 (forall @t4056 (=> @t4044 (=> @t4046 (=> @t4050 (=> @t4055 (=> @t4054 (=> @t4053 @t4049)))))))) % 53.50/53.74 (assume @p2991 (forall (@list @t25 @t33 @t13 @t2067 @t8) (=> @t4051 (=> @t4044 @t4045)))) % 53.50/53.74 (assume @p2992 (forall @t4058 (=> @t4044 (=> @t149 (=> @t190 (= @t4057 @t4053)))))) % 53.50/53.74 (assume @p2993 (forall @t4058 (=> @t4044 (= @t4053 (and @t4057 @t149 @t190))))) % 53.50/53.74 (assume @p2994 (forall @t4052 (=> @t4044 (=> @t4041 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4043) @t4042)))))) % 53.50/53.74 (assume @p2995 (forall @t4058 (=> @t4044 (=> @t149 (=> @t190 (= (= @t4039 (tptp.hAPP (tptp.hAPP @t4035 @t505) @t2067)) @t4053)))))) % 53.50/53.74 (assume @p2996 (forall (@list @t405 @t406 @t2 @t1685 @t4059 @t4064 @t49 @t4062 @t4065 @t8) (=> @t4068 (=> @t4067 (=> @t4066 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t406) @t4065)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t343 @t405) @t4064)) (= (tptp.hAPP (tptp.hAPP @t4063 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t4062) (tptp.hAPP @t463 @t30))) (tptp.hAPP (tptp.hAPP @t4061 (tptp.hAPP @t3682 (tptp.hAPP @t4060 (tptp.hAPP (tptp.hAPP @t337 @t405) @t81)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t406) @t405))))))))) % 53.50/53.74 (assume @p2997 (forall (@list @t13 @t2 @t49 @t2067 @t25 @t8) (=> @t4044 (=> @t4069 (=> @t118 (= (tptp.hAPP (tptp.hAPP @t3661 @t4043) @t2) @t794)))))) % 53.50/53.74 (assume @p2998 (forall @t135 (= (tptp.c_Equiv__Relations_Oequiv @t8 @t2651 @t25) (tptp.c_Equiv__Relations_Oequivp @t8 (tptp.hAPP @t3591 @t25))))) % 53.50/53.74 (assume @p2999 (forall @t4074 (=> @t4073 @t4072))) % 53.50/53.74 (assume @p3000 (forall @t4076 (=> @t4073 @t4075))) % 53.50/53.74 (assume @p3001 (forall @t4078 (=> @t4073 @t4077))) % 53.50/53.74 (assume @p3002 (forall @t3927 (= @t4073 (forall @t435 (= @t4082 @t4081))))) % 53.50/53.74 (assume @p3003 (forall @t96 (tptp.c_Equiv__Relations_Oequivp @t8 tptp.c_fequal))) % 53.50/53.74 (assume @p3004 (forall (@list @t13 @t2 @t4059 @t1685 @t49 @t4062 @t25 @t8) (=> (tptp.c_Equiv__Relations_Oequiv @t8 @t25 @t4062) (=> @t4083 (=> @t118 (tptp.c_Equiv__Relations_Ocongruent @t49 @t1685 @t4059 @t794)))))) % 53.50/53.74 (assume @p3005 (forall (@list @t4084 @t4086 @t4085 @t4087 @t2 @t4059 @t4062 @t1685 @t49 @t8) (=> @t4083 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2960 @t4087) @t4085)) @t4062)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3231 (tptp.hAPP (tptp.hAPP @t3229 @t4086) @t4084)) @t4059)) (= (tptp.hAPP (tptp.hAPP @t2 @t4087) @t4086) (tptp.hAPP (tptp.hAPP @t2 @t4085) @t4084))))))) % 53.50/53.74 (assume @p3006 (forall (@list @t79 @t57 @t2 @t2067 @t49 @t8) (=> @t4090 (=> (tptp.hBOOL (tptp.hAPP @t4089 @t2067)) (= @t643 @t3958))))) % 53.50/53.74 (assume @p3007 (forall (@list @t13 @t2 @t1685 @t4059 @t4064 @t49 @t4062 @t4065 @t8) (=> @t4068 (=> @t4067 (=> @t4066 (=> (tptp.hBOOL (tptp.hAPP @t3346 @t4064)) (tptp.c_Equiv__Relations_Ocongruent @t8 @t2750 @t4062 (tptp.hAPP (tptp.hAPP @t4061 (tptp.hAPP @t3682 (tptp.hAPP @t4060 @t3719))) @t2)))))))) % 53.50/53.74 (assume @p3008 (forall (@list @t3518 @t461 @t2 @t49 @t2067 @t25 @t8) (=> @t4044 (=> @t4069 (=> (= @t4095 (tptp.hAPP (tptp.hAPP @t3661 @t3518) @t2)) (=> @t4046 (=> @t4050 (=> (forall @t7 (=> @t183 (forall @t1089 (=> @t1991 (=> @t4094 @t4092))))) @t4049)))))))) % 53.50/53.74 (assume @p3009 (forall (@list @t88 @t4096 @t4097 @t2 @t1685 @t4059 @t4064 @t49 @t4062 @t4065 @t8) (=> @t4068 (=> @t4067 (=> @t4066 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t4097) (tptp.hAPP (tptp.hAPP @t4035 @t4065) @t4062))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4100 @t4096) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t49) @t4064) @t4059))) (=> (forall @t2441 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t2439) @t4065)) (forall (@list @t4099) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t343 @t4099) @t4064)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4098 (tptp.hAPP (tptp.hAPP @t2 @t2439) @t4099)) @t88)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4098 (tptp.hAPP (tptp.hAPP @t4063 @t4097) (tptp.hAPP (tptp.hAPP @t4061 (tptp.hAPP @t3682 @t4096)) @t2))) @t88)))))))))) % 53.50/53.74 (assume @p3010 (forall (@list @t88 @t461 @t2 @t49 @t2067 @t25 @t8) (=> @t4044 (=> @t4069 (=> @t4046 (=> (forall @t7 (=> @t183 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4100 @t5) @t88)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4100 @t4095) @t88)))))))) % 53.50/53.74 (assume @p3011 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t3113) @t4047) tptp.c_Int_Ointrel))) % 53.50/53.74 (assume @p3012 (forall @t4037 (=> @t335 (=> @t4101 (= (tptp.hAPP @t1140 @t4036) @t504))))) % 53.50/53.74 (assume @p3013 (forall @t4105 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t8 @t4104) @t48)) @t4103))) % 53.50/53.74 (assume @p3014 (forall @t1227 (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t30))) % 53.50/53.74 (assume @p3015 (forall @t135 (=> @t328 (tptp.c_Fun_Oinj__on @t8 @t8 @t2086 @t25)))) % 53.50/53.74 (assume @p3016 (forall @t2720 (= @t4106 (forall @t7 (=> @t183 (forall @t571 (=> @t1320 (=> (= @t5 @t1319) @t568)))))))) % 53.50/53.74 (assume @p3017 (forall @t135 (tptp.c_Fun_Oinj__on @t8 @t8 @t2822 @t25))) % 53.50/53.74 (assume @p3018 (forall @t4108 (=> @t4107 (=> @t115 @t4106)))) % 53.50/53.74 (assume @p3019 (forall @t3859 (=> @t4106 (=> @t4107 (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t488))))) % 53.50/53.74 (assume @p3020 (forall @t3859 (=> @t4106 (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t92)))) % 53.50/53.74 (assume @p3021 (forall @t4110 (=> @t4106 (=> @t4109 (=> @t149 (=> @t190 @t165)))))) % 53.50/53.74 (assume @p3022 (forall @t4110 (=> @t4106 (=> @t149 (=> @t190 @t4111))))) % 53.50/53.74 (assume @p3023 (forall @t4110 (=> @t4106 (=> @t373 (=> @t149 (=> @t190 @t4112)))))) % 53.50/53.74 (assume @p3024 (forall (@list @t1685 @t2 @t49 @t8) (=> @t4114 (tptp.c_Fun_Oinj__on @t8 @t4113 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t49 @t4113 @t8) (tptp.c_COMBK @t49 @t1685)) @t2) @t2651)))) % 53.50/53.74 (assume @p3025 (forall @t3963 (=> @t4114 @t4111))) % 53.50/53.74 (assume @p3026 (forall @t3963 (=> @t4114 (=> @t4109 @t165)))) % 53.50/53.74 (assume @p3027 (forall @t2720 (=> (tptp.hBOOL (tptp.hAPP @t334 @t3843)) (=> @t4115 @t347)))) % 53.50/53.74 (assume @p3028 (forall @t3859 (=> @t4114 @t4116))) % 53.50/53.74 (assume @p3029 (forall @t3859 (=> @t4117 @t4116))) % 53.50/53.74 (assume @p3030 (forall @t2720 (=> @t4106 @t4118))) % 53.50/53.74 (assume @p3031 (forall @t4108 (=> @t4107 (=> @t351 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t80) @t3862) @t3861)))))) % 53.50/53.74 (assume @p3032 (forall @t4120 (=> @t4114 (= (tptp.hBOOL (tptp.hAPP @t4119 @t3862)) @t118)))) % 53.50/53.74 (assume @p3033 (forall (@list @t33 @t2 @t49 @t8) (=> @t4114 (= (tptp.hBOOL (tptp.hAPP @t3664 @t4122)) (exists @t7 (and (= @t33 @t5) (forall @t1089 (=> (= @t33 @t4093) @t4121)))))))) % 53.50/53.74 (assume @p3034 (forall (@list @t4002 @t49 @t8 @t25) (=> @t68 (= (exists @t3917 (and @t4125 (tptp.hBOOL (tptp.hAPP @t4124 @t4002)))) (exists (@list @t4123) (= (tptp.hAPP (tptp.c_Set_Oimage @t49 @t8 @t4123) @t4002) @t25)))))) % 53.50/53.74 (assume @p3035 (forall @t1323 (=> @t335 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4127) @t25)) (=> @t4128 (= @t4127 @t25)))))) % 53.50/53.74 (assume @p3036 (forall @t1323 (=> @t335 (=> (tptp.hBOOL (tptp.hAPP @t72 @t4127)) @t4128)))) % 53.50/53.74 (assume @p3037 (forall @t4131 (=> @t2658 (=> @t4130 @t4129)))) % 53.50/53.74 (assume @p3038 (forall @t4131 (=> @t2658 (=> @t4129 @t4130)))) % 53.50/53.74 (assume @p3039 (forall @t3859 (=> @t4114 (= @t3864 @t115)))) % 53.50/53.74 (assume @p3040 (forall @t4134 (=> @t4133 (=> @t210 (=> @t211 @t4132))))) % 53.50/53.74 (assume @p3041 (forall @t3859 (=> @t4114 @t4132))) % 53.50/53.74 (assume @p3042 (forall @t3898 (=> @t335 (=> @t4118 @t4106)))) % 53.50/53.74 (assume @p3043 (forall @t3898 (=> @t335 (= @t4106 @t4118)))) % 53.50/53.74 (assume @p3044 (forall @t4134 (=> @t4133 (=> @t210 (=> @t211 @t4136))))) % 53.50/53.74 (assume @p3045 (forall @t3859 (=> @t4114 @t4136))) % 53.50/53.74 (assume @p3046 (forall @t2720 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 (tptp.hAPP @t503 @t3843)) @t2821)) (not @t4115)))) % 53.50/53.74 (assume @p3047 (forall (@list @t48 @t57 @t25 @t2 @t49 @t8) (=> @t4106 (=> (not @t4138) (tptp.c_Fun_Oinj__on @t8 @t49 @t3946 @t25))))) % 53.50/53.74 (assume @p3048 (forall @t3061 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 @t3057) @t3058)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.c_Wellfounded_Oacc @t8 @t3058)) (tptp.c_Wellfounded_Oacc @t8 @t3057)))))) % 53.50/53.74 (assume @p3049 (forall @t96 (tptp.c_Fun_Oinj__on @t8 @t29 @t2842 @t2651))) % 53.50/53.74 (assume @p3050 (forall @t1929 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4139 @t3759) tptp.c_Int_OInteg)))) % 53.50/53.74 (assume @p3051 (forall @t4144 (=> @t4106 (=> @t4143 (=> @t4142 (=> @t4141 (=> @t335 (=> @t495 @t4140)))))))) % 53.50/53.74 (assume @p3052 (forall @t2720 (=> @t4114 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 @t4146) @t4145))))) % 53.50/53.74 (assume @p3053 (forall @t4149 (= @t4148 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t2961 @t13)) @t2067)) @t4147))))) % 53.50/53.74 (assume @p3054 (forall (@list @t13 @t2067 @t33 @t8) (=> @t4150 (=> @t4041 @t4148)))) % 53.50/53.74 (assume @p3055 (forall @t4120 (= (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t28) (and @t4106 (not (tptp.hBOOL (tptp.hAPP @t4119 (tptp.hAPP @t3860 @t86)))))))) % 53.50/53.74 (assume @p3056 (forall @t3859 (= @t4117 (and @t4106 @t4107 (= (tptp.hAPP (tptp.hAPP @t628 @t4135) (tptp.hAPP @t3860 @t169)) @t81))))) % 53.50/53.74 (assume @p3057 (forall @t1152 (=> @t335 (=> @t495 (= (exists @t3917 (and @t4125 (tptp.hBOOL (tptp.hAPP @t4124 @t88)))) @t4151))))) % 53.50/53.74 (assume @p3058 (forall @t3859 (=> @t4106 (=> @t4143 (=> @t495 @t4151))))) % 53.50/53.74 (assume @p3059 (forall (@list @t13 @t25 @t2067 @t8) (=> @t4101 (=> @t118 (= (tptp.hAPP (tptp.hAPP @t4035 @t86) @t2067) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t1048) @t4036) (tptp.hAPP (tptp.hAPP @t4035 @t45) @t2067))))))) % 53.50/53.74 (assume @p3060 (forall (@list @t971 @t88 @t25 @t1685 @t171 @t2 @t49 @t8) (=> @t4133 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3907 @t3) @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t3376) @t171)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3907 @t971) @t25)) @t4152))))) % 53.50/53.74 (assume @p3061 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t3521 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 53.50/53.74 (assume @p3062 (forall (@list @t88 @t48 @t25 @t2 @t49 @t8) (=> @t4106 (=> @t4155 (=> @t115 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t4154) @t88))))))) % 53.50/53.74 (assume @p3063 (forall (@list @t1789 @t676) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3485 @t1789))) % 53.50/53.74 (assume @p3064 (forall @t3209 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t1789))) % 53.50/53.74 (assume @p3065 (forall @t96 (=> @t1851 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t8 @t1848 @t3220)))) % 53.50/53.74 (assume @p3066 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t1853 @t3220)) % 53.50/53.74 (assume @p3067 (forall @t2730 (tptp.c_Fun_Oinj__on @t2660 @t4005 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t49 @t4005) @t4156) @t25))) % 53.50/53.74 (assume @p3068 (forall @t4157 (=> @t4106 (=> @t149 (= (tptp.hAPP @t4153 @t94) @t48))))) % 53.50/53.74 (assume @p3069 (forall @t4110 (=> @t4106 (=> @t3957 (=> @t149 (= @t4158 @t48)))))) % 53.50/53.74 (assume @p3070 (forall @t2720 (=> @t4106 (tptp.c_Fun_Oinj__on @t49 @t8 @t4153 @t3862)))) % 53.50/53.74 (assume @p3071 (forall @t2720 (=> @t4106 (= (tptp.hAPP (tptp.c_Set_Oimage @t49 @t8 @t4153) @t3862) @t25)))) % 53.50/53.74 (assume @p3072 (forall @t3955 (=> @t4114 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t8 @t49 @t2651 @t2) @t94) @t48)))) % 53.50/53.74 (assume @p3073 (forall (@list @t57 @t25 @t2 @t49 @t8) (=> @t4106 (=> @t4138 (= (tptp.hAPP @t2 @t4158) @t57))))) % 53.50/53.74 (assume @p3074 (forall @t4162 (=> @t4161 (= (tptp.hAPP (tptp.c_Set_Oimage @t49 @t8 @t4159) @t25) @t2651)))) % 53.50/53.74 (assume @p3075 (forall @t4162 (=> @t4161 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t49 @t4160) @t2651) @t25)))) % 53.50/53.74 (assume @p3076 (forall @t4164 (=> @t4161 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t343 @t4163) @t25))))) % 53.50/53.74 (assume @p3077 (forall @t4164 (=> @t4161 (= (tptp.hAPP @t4159 @t4163) @t48)))) % 53.50/53.74 (assume @p3078 (forall @t4165 (=> @t4161 (= (= @t4163 (tptp.hAPP @t4160 @t57)) @t165)))) % 53.50/53.74 (assume @p3079 (forall @t4165 (=> @t4161 (=> @t345 (=> @t4167 (= (= (tptp.hAPP @t4159 @t48) @t4166) @t165)))))) % 53.50/53.74 (assume @p3080 (forall (@list @t57 @t25 @t4159 @t4160 @t49 @t8) (=> @t4161 (=> @t4167 (= (tptp.hAPP @t4160 @t4166) @t57))))) % 53.50/53.74 (assume @p3081 (forall (@list @t405 @t406 @t2733 @t8) (= (tptp.c_Wellfounded_Omax__extp @t8 @t2733 @t406 @t405) (and @t4173 @t4172 @t4171 (forall @t7 (=> @t4170 (exists @t571 (and @t4169 @t4168)))))))) % 53.50/53.74 (assume @p3082 (forall @t4181 (=> @t4180 (=> @t4179 (=> @t4178 (=> (forall @t7 (=> @t4177 (exists @t571 (and @t4176 @t4175)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3238 (tptp.hAPP (tptp.hAPP @t3236 @t461) @t3518)) @t3584)))))))) % 53.50/53.74 (assume @p3083 (forall @t1198 (= (tptp.c_Nitpick_Ozero__frac @t98) (tptp.c_Nitpick_OAbs__Frac @t98 @t2914)))) % 53.50/53.74 (assume @p3084 (forall @t1198 (= (tptp.c_Nitpick_Oone__frac @t98) (tptp.c_Nitpick_OAbs__Frac @t98 (tptp.hAPP (tptp.hAPP @t2702 @t1708) @t1708))))) % 53.50/53.74 (assume @p3085 (forall @t1881 (= (tptp.c_Nitpick_Onumber__of__frac @t98 @t658) (tptp.c_Nitpick_OAbs__Frac @t98 (tptp.hAPP (tptp.hAPP @t2702 @t658) @t1708))))) % 53.50/53.74 (assume @p3086 (forall @t295 (= (tptp.hAPP (tptp.hAPP @t4182 @t197) @t200) (tptp.c_Nitpick_OAbs__Frac @t98 (tptp.c_Nitpick_Onorm__frac @t197 @t200))))) % 53.50/53.74 (assume @p3087 (forall (@list @t2 @t49 @t8 @t1067) (=> (not (= @t1067 @t1049)) (=> (forall @t4183 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t442) @t1067)) (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t442))) (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t3374))))) % 53.50/53.74 (assume @p3088 (forall (@list @t461 @t8) (= (tptp.c_Set_Othe__elem @t8 @t461) (tptp.c_HOL_OThe @t8 (tptp.hAPP (tptp.hAPP @t4184 (tptp.hAPP tptp.c_fequal @t461)) @t2842))))) % 53.50/53.74 (assume @p3089 (forall (@list @t1789 @t1153 @t64 @t2 @t8) (=> @t451 (=> (forall @t435 (= (tptp.hAPP @t1153 @t438) (tptp.hAPP (tptp.hAPP @t2 @t1155) @t3951))) (=> @t1791 (=> @t3950 (= (tptp.hAPP @t1153 (tptp.hAPP @t64 @t1789)) (tptp.hAPP @t64 @t3949)))))))) % 53.50/53.74 (assume @p3090 (forall @t2746 (= (tptp.c_HOL_OThe @t2660 @t4188) @t2741))) % 53.50/53.74 (assume @p3091 (forall @t4191 (= (tptp.c_HOL_OThe @t2660 @t178) (tptp.c_HOL_OThe @t2660 @t4190)))) % 53.50/53.74 (assume @p3092 (forall @t4200 (= @t4154 (tptp.c_HOL_OThe @t8 @t4199)))) % 53.50/53.74 (assume @p3093 (forall (@list @t25 @t79 @t2 @t8 @t49) (= (tptp.hAPP @t566 @t25) (tptp.c_HOL_OThe @t8 (tptp.c_Finite__Set_Ofold__graph @t49 @t8 @t2 @t79 @t25))))) % 53.50/53.74 (assume @p3094 (forall @t701 (= @t3115 (tptp.c_HOL_OThe @t3113 @t3173)))) % 53.50/53.74 (assume @p3095 (forall @t2781 (= @t422 (tptp.c_HOL_OThe @t8 @t69)))) % 53.50/53.74 (assume @p3096 (forall @t4191 (= (tptp.c_HOL_OThe @t2660 @t4202) (tptp.c_HOL_OThe @t2660 @t4201)))) % 53.50/53.74 (assume @p3097 (forall @t1066 (and (=> @t4204 (= @t4203 @t33)) (=> (not @t4204) (= @t4203 (tptp.c_HOL_OThe @t8 (tptp.hAPP @t2734 (tptp.hAPP @t85 @t41)))))))) % 53.50/53.74 (assume @p3098 (forall @t4207 (=> @t4114 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4206) (tptp.hAPP (tptp.hAPP @t26 (tptp.c_HOL_OThe @t8 (tptp.hAPP @t4195 @t13))) @t30)))))) % 53.50/53.74 (assume @p3099 (forall @t4210 (=> @t4209 (not (forall @t7 (not (= @t57 @t4208))))))) % 53.50/53.74 (assume @p3100 (forall (@list @t49 @t88 @t8 @t33 @t13 @t2) (=> @t4213 (=> (tptp.hBOOL (tptp.hAPP @t76 @t88)) (tptp.hBOOL (tptp.hAPP @t3346 @t4212)))))) % 53.50/53.74 (assume @p3101 (forall @t3859 (= (tptp.hAPP @t4205 @t3880) (tptp.hAPP (tptp.hAPP @t84 @t4215) @t4214)))) % 53.50/53.74 (assume @p3102 (forall (@list @t49 @t25 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t794) @t25)) (tptp.hBOOL (tptp.hAPP @t3346 @t4216))))) % 53.50/53.74 (assume @p3103 (forall (@list @t25 @t2 @t49 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t117 @t4215)) (tptp.hBOOL (tptp.hAPP @t4119 @t25))))) % 53.50/53.74 (assume @p3104 (forall (@list @t88 @t2 @t49 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t117 @t4214)) (tptp.hBOOL (tptp.hAPP @t4119 @t88))))) % 53.50/53.74 (assume @p3105 (forall @t3941 (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t8 @t2822) @t3518) @t3518))) % 53.50/53.74 (assume @p3106 (forall @t2720 (= (tptp.hAPP @t4205 @t3903) (tptp.hAPP @t2197 @t4215)))) % 53.50/53.74 (assume @p3107 (forall @t4157 (= (tptp.hBOOL (tptp.hAPP @t4215 @t48)) (tptp.hBOOL (tptp.hAPP @t25 @t94))))) % 53.50/53.74 (assume @p3108 (forall @t1227 (= (tptp.hAPP @t4205 @t81) @t30))) % 53.50/53.74 (assume @p3109 (forall @t4218 (= (tptp.hAPP @t4205 @t4010) (tptp.hAPP @t3689 @t4217)))) % 53.50/53.74 (assume @p3110 (forall @t3859 (= (tptp.hAPP @t4205 @t630) (tptp.hAPP (tptp.hAPP @t486 @t4215) @t4214)))) % 53.50/53.74 (assume @p3111 (forall @t3865 (=> @t115 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 @t4216) @t4212))))) % 53.50/53.74 (assume @p3112 (forall @t3859 (= (tptp.hAPP @t4205 @t492) (tptp.hAPP (tptp.hAPP @t83 @t4215) @t4214)))) % 53.50/53.74 (assume @p3113 (forall @t4218 (= (tptp.hAPP @t4205 @t3690) (tptp.hAPP @t3758 @t4217)))) % 53.50/53.74 (assume @p3114 (forall @t1227 (= (tptp.hAPP @t4205 @t2653) @t2651))) % 53.50/53.74 (assume @p3115 (forall @t2720 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4219) @t25)))) % 53.50/53.74 (assume @p3116 (forall @t3876 (=> @t3904 (= @t4219 @t25)))) % 53.50/53.74 (assume @p3117 (forall @t2720 (= (tptp.hAPP @t4205 @t3400) (tptp.hAPP @t3700 @t4205)))) % 53.50/53.74 (assume @p3118 (forall (@list @t33 @t2 @t49 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t4205 (tptp.hAPP @t4220 @t81)))) @t4213))) % 53.50/53.74 (assume @p3119 (forall (@list @t88 @t13 @t2 @t49 @t8) (= (tptp.hAPP @t4205 @t3856) (tptp.hAPP (tptp.hAPP @t83 @t4206) @t4214)))) % 53.50/53.74 (assume @p3120 (forall @t4223 (=> @t4222 (=> (= (tptp.hAPP @t3845 @t2651) @t2653) @t4221)))) % 53.50/53.74 (assume @p3121 (forall (@list @t25 @t88 @t2 @t8 @t49) (=> @t3904 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 @t4212) @t25)) @t3867)))) % 53.50/53.74 (assume @p3122 (forall @t3876 (= @t4219 (tptp.hAPP @t487 @t3877)))) % 53.50/53.74 (assume @p3123 (forall @t3846 (=> @t415 (=> (tptp.c_Fun_Oinj__on @t49 @t8 @t1153 @t2653) (tptp.hBOOL (tptp.hAPP @t346 (tptp.hAPP (tptp.c_Set_Ovimage @t49 @t8 @t1153) @t64))))))) % 53.50/53.74 (assume @p3124 (forall @t2720 (=> @t4114 (= (tptp.hAPP @t4205 @t3862) @t25)))) % 53.50/53.74 (assume @p3125 (forall (@list @t49 @t25 @t32 @t8) (and (=> @t107 (= @t4225 @t2653)) (=> @t108 (= @t4225 @t81))))) % 53.50/53.74 (assume @p3126 (forall @t4226 (= @t4214 (tptp.hAPP @t3678 (tptp.hAPP (tptp.hAPP @t4020 @t4205) @t4019))))) % 53.50/53.74 (assume @p3127 (forall @t4108 (=> @t4114 (=> @t3879 @t4227)))) % 53.50/53.74 (assume @p3128 (forall (@list @t88 @t49 @t35 @t25 @t32 @t8) (and (=> @t107 (and (=> @t4231 (= @t4230 @t2653)) (=> @t4232 (= @t4230 @t88)))) (=> @t108 (and (=> @t4231 (= @t4230 (tptp.hAPP @t3902 @t88))) (=> @t4232 (= @t4230 @t81))))))) % 53.50/53.74 (assume @p3129 (forall (@list @t25 @t1 @t2 @t49 @t8 @t1685) (= (tptp.hAPP (tptp.c_Set_Oimage @t1685 @t2660 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t1685 @t49 @t2660) @t4236) @t1)) @t25) (tptp.hAPP (tptp.hAPP @t4235 @t4234) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2750 @t80 @t8) @t3872) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t2750 @t2750) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2750 @t4233 @t8) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2750)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 @t2750 @t8) (tptp.c_Set_Ovimage @t1685 @t8 @t2)) @t2842))) @t25)))))) % 53.50/53.74 (assume @p3130 (forall @t4238 (=> @t4209 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t178 @t4208))) @t4237)))) % 53.50/53.74 (assume @p3131 (forall (@list @t25 @t2 @t1685 @t49 @t8 @t3365) (=> (not (= @t3365 @t30)) (=> (forall @t1419 (=> (tptp.hBOOL (tptp.hAPP @t1900 @t3365)) (tptp.c_Fun_Oinj__on @t49 @t1685 @t2 (tptp.hAPP @t25 @t1415)))) (tptp.c_Fun_Oinj__on @t49 @t1685 @t2 @t3366))))) % 53.50/53.74 (assume @p3132 (forall @t3666 (=> @t118 (=> @t3665 @t4241)))) % 53.50/53.74 (assume @p3133 (forall (@list @t88 @t461 @t49 @t8) (= (tptp.hAPP (tptp.hAPP @t4235 (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t461)) @t88) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t2661) @t461) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t29 @t2744 @t2661) @t4235) @t88))))) % 53.50/53.74 (assume @p3134 (forall @t4248 (=> @t4247 (= (= @t4246 @t4244) @t112)))) % 53.50/53.74 (assume @p3135 (forall @t4253 (= (tptp.hAPP (tptp.hAPP @t4235 (tptp.hAPP (tptp.hAPP @t84 @t3365) @t3423)) @t171) (tptp.hAPP (tptp.hAPP @t4252 @t4251) @t4249)))) % 53.50/53.74 (assume @p3136 (forall @t4258 (= (tptp.hAPP (tptp.hAPP @t4235 @t92) @t4254) (tptp.hAPP (tptp.hAPP @t4252 @t4257) @t4256)))) % 53.50/53.74 (assume @p3137 (forall @t3709 (= (tptp.hAPP @t4250 (tptp.hAPP (tptp.hAPP @t4261 @t3488) @t88)) (tptp.hAPP (tptp.hAPP @t4252 @t4260) @t4259)))) % 53.50/53.74 (assume @p3138 (forall (@list @t88 @t49 @t8) (= (tptp.hAPP (tptp.hAPP @t4235 @t30) @t88) @t2738))) % 53.50/53.74 (assume @p3139 (forall @t1235 (= (tptp.hAPP @t4264 @t4263) (tptp.hAPP (tptp.hAPP @t704 @t504) @t1147)))) % 53.50/53.74 (assume @p3140 (forall @t2756 (=> @t1316 (= @t2755 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t3081 @t8) @t3072) @t4267))))) % 53.50/53.74 (assume @p3141 (forall @t2730 (= (tptp.hAPP @t4239 (tptp.hAPP @t3455 @t81)) @t2738))) % 53.50/53.74 (assume @p3142 (forall @t1235 (= (= @t4263 @t2738) (or @t67 @t1396)))) % 53.50/53.74 (assume @p3143 (forall @t2730 (= (tptp.hAPP @t4270 (tptp.hAPP @t4268 @t4269)) (tptp.hAPP @t4268 (tptp.hAPP @t3455 @t3903))))) % 53.50/53.74 (assume @p3144 (forall @t2730 (= (tptp.hAPP @t4270 (tptp.hAPP @t4239 @t4271)) (tptp.hAPP (tptp.hAPP @t4235 @t2198) @t4271)))) % 53.50/53.74 (assume @p3145 (forall @t2756 (=> @t1224 (= (tptp.hAPP (tptp.hAPP @t1222 (tptp.hAPP (tptp.hAPP @t2754 (tptp.hAPP (tptp.hAPP @t2752 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t1685 @t8)) @t2)) @t88)) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t3081 @t8) @t3072) @t4267))))) % 53.50/53.74 (assume @p3146 (forall @t4253 (= (tptp.hAPP (tptp.hAPP @t4235 (tptp.hAPP (tptp.hAPP @t83 @t3365) @t3423)) @t171) (tptp.hAPP (tptp.hAPP @t2769 @t4251) @t4249)))) % 53.50/53.74 (assume @p3147 (forall @t4258 (= (tptp.hAPP (tptp.hAPP @t4235 @t131) @t4254) (tptp.hAPP (tptp.hAPP @t2769 @t4257) @t4256)))) % 53.50/53.74 (assume @p3148 (forall @t3709 (= (tptp.hAPP @t4250 (tptp.hAPP (tptp.hAPP @t4261 @t3723) @t88)) (tptp.hAPP (tptp.hAPP @t2769 @t4260) @t4259)))) % 53.50/53.74 (assume @p3149 (forall @t3379 (= (tptp.hAPP (tptp.c_Set_Oimage @t4005 @t2660 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t49 @t8 @t2660) @t4273)) @t4272) (tptp.hAPP @t4255 @t4269)))) % 53.50/53.74 (assume @p3150 (forall @t1152 (=> @t335 (=> @t495 @t4274)))) % 53.50/53.74 (assume @p3151 (forall @t4037 (=> @t4044 @t4278))) % 53.50/53.74 (assume @p3152 (forall @t3709 (= (tptp.hAPP @t4250 (tptp.hAPP (tptp.hAPP @t4261 @t3461) @t88)) (tptp.hAPP (tptp.hAPP @t2772 @t4260) @t4259)))) % 53.50/53.74 (assume @p3153 (forall @t4258 (= (tptp.hAPP (tptp.hAPP @t4235 @t488) @t4254) (tptp.hAPP (tptp.hAPP @t2772 @t4257) @t4256)))) % 53.50/53.74 (assume @p3154 (forall @t4253 (= (tptp.hAPP (tptp.hAPP @t4235 (tptp.hAPP (tptp.hAPP @t486 @t3365) @t3423)) @t171) (tptp.hAPP (tptp.hAPP @t2772 @t4251) @t4249)))) % 53.50/53.74 (assume @p3155 (forall @t135 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 @t3838) @t4277)))) % 53.50/53.74 (assume @p3156 (forall @t2657 (= (tptp.hAPP @t4268 @t4271) @t2662))) % 53.50/53.74 (assume @p3157 (forall @t4279 (= @t4241 (and @t118 @t3665)))) % 53.50/53.74 (assume @p3158 (forall @t4279 (=> @t4241 @t118))) % 53.50/53.74 (assume @p3159 (forall @t4279 (=> @t4241 @t3665))) % 53.50/53.74 (assume @p3160 (forall @t4279 (=> @t4241 (not (=> @t118 (not @t3665)))))) % 53.50/53.74 (assume @p3161 (forall (@list @t25 @t48 @t49 @t8) (= (tptp.hAPP @t4264 (tptp.hAPP (tptp.hAPP @t4235 @t53) @t4269)) @t2821))) % 53.50/53.74 (assume @p3162 (forall @t4248 (=> @t4247 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4281 @t4246) @t4244)) (tptp.hBOOL (tptp.hAPP @t4280 @t88)))))) % 53.50/53.74 (assume @p3163 (forall (@list @t171 @t88 @t25 @t2067 @t49 @t8) (=> @t4283 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 (tptp.hAPP @t4000 @t171)) @t88))))) % 53.50/53.74 (assume @p3164 (forall @t1235 (=> @t4274 (=> @t68 @t495)))) % 53.50/53.74 (assume @p3165 (forall @t1235 (=> @t4274 (=> (not @t1396) @t335)))) % 53.50/53.74 (assume @p3166 (forall (@list @t25 @t49 @t8 @t88) (and (=> @t247 (= @t4284 @t81)) (=> @t450 (= @t4284 @t25))))) % 53.50/53.74 (assume @p3167 (forall (@list @t88 @t49 @t8 @t25) (and (=> @t67 (= @t4285 @t81)) (=> @t68 (= @t4285 @t88))))) % 53.50/53.74 (assume @p3168 (forall (@list @t88 @t33 @t25 @t13 @t49 @t8) (= (tptp.hAPP @t4286 @t4287) (tptp.hAPP @t4289 (tptp.hAPP (tptp.hAPP @t2769 (tptp.hAPP @t4239 @t4287)) (tptp.hAPP @t4286 @t4262)))))) % 53.50/53.74 (assume @p3169 (forall (@list @t461 @t2067 @t25 @t8) (=> @t335 (=> @t4278 (=> @t4046 @t4180))))) % 53.50/53.74 (assume @p3170 (forall (@list @t64 @t4290 @t88 @t25 @t49 @t8 @t3082 @t1685) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4295 @t2661) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t1685 @t3082) @t25) (tptp.hAPP (tptp.c_COMBK @t4294 @t1685) @t88))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1685 @t3082 @t2661) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1685 @t4293 @t4292) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4291 (tptp.tc_fun @t4293 @t4292) @t1685) (tptp.c_COMBB @t2744 @t2661 @t3082)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 @t4291 @t1685) @t4235) @t4290))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 @t2744 @t3082) @t3455) @t64)))) (tptp.hAPP (tptp.hAPP @t4235 (tptp.hAPP @t3758 @t4290)) (tptp.hAPP @t3455 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3082 @t80) @t88) @t64)))))) % 53.50/53.74 (assume @p3171 (forall @t1235 (= @t4240 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t2661) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t4298 @t2661) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 (tptp.tc_fun @t4298 @t2661) @t8) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t49 @t2661)) @t88)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t2661 @t4298) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4297 (tptp.tc_fun @t2661 @t4298) @t8) (tptp.c_COMBC @t49 @t2661 @t2661)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2764 @t4297 @t8) (tptp.hAPP (tptp.c_COMBB @t2660 @t4296 @t49) @t4288)) @t2739))) @t2738)))))) % 53.50/53.74 (assume @p3172 (forall @t4037 (=> @t335 (=> @t4278 (tptp.hBOOL (tptp.hAPP @t909 @t4036)))))) % 53.50/53.74 (assume @p3173 (forall (@list @t25 @t3365 @t49 @t8) (exists @t3917 (and (tptp.c_Fun_Oinj__on @t8 @t4005 @t3916 @t3680) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4281 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t4005 @t3916) @t3680)) (tptp.hAPP (tptp.hAPP @t4243 @t3365) @t25))))))) % 53.50/53.74 (assume @p3174 (forall (@list @t1 @t88 @t49 @t25 @t8 @t1685) (=> @t4305 (=> @t335 (=> @t3676 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4304 (tptp.hAPP (tptp.hAPP @t4303 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1685 @t4302) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3078 (tptp.tc_fun @t1685 @t4302) @t8) @t4301) @t1)) @t4299)) @t88)) @t4299) @t25) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t1685 @t2660 @t4300) (tptp.hAPP @t3067 @t1)) @t4299) @t4240))))))) % 53.50/53.74 (assume @p3175 (forall @t1152 (=> @t335 (=> @t4307 (tptp.hBOOL (tptp.hAPP @t2663 @t4240)))))) % 53.50/53.74 (assume @p3176 (forall @t4311 (=> @t4305 (=> @t335 (=> @t3676 (= (tptp.hAPP (tptp.hAPP @t4310 (tptp.hAPP (tptp.hAPP @t4303 (tptp.hAPP (tptp.hAPP @t4309 @t4308) @t2)) @t88)) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2660 @t1685) @t3906) @t4240))))))) % 53.50/53.74 (assume @p3177 (forall @t4311 (=> @t4315 (=> @t335 (=> @t3676 (= (tptp.hAPP (tptp.hAPP @t4314 (tptp.hAPP @t4313 @t88)) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2660 @t1685) @t3906) @t4240))))))) % 53.50/53.74 (assume @p3178 (forall @t1152 (=> @t335 (=> @t3676 (= (tptp.hAPP @t4264 @t4240) (tptp.hAPP (tptp.hAPP @t1113 (tptp.hAPP @t4316 @t88)) @t25)))))) % 53.50/53.74 (assume @p3179 (forall (@list @t88 @t25 @t32 @t49 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4320 @t4240)) (not (forall @t7 (=> @t183 (forall @t1089 (=> (tptp.hBOOL (tptp.hAPP @t4319 @t3376)) (not (= @t32 @t4318)))))))))) % 53.50/53.74 (assume @p3180 (forall (@list @t1 @t1685 @t3082 @t2 @t8 @t49) (=> @t3904 (=> (= (tptp.hAPP @t4326 (tptp.c_Orderings_Otop__class_Otop @t4294)) @t4325) (= (tptp.hAPP @t4324 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4323 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t4322)))))) % 53.50/53.74 (assume @p3181 (forall (@list @t88 @t1 @t3082 @t1685 @t25 @t2 @t49 @t8) (=> @t4106 (=> (tptp.c_Fun_Oinj__on @t1685 @t3082 @t1 @t88) (tptp.c_Fun_Oinj__on @t4321 @t4323 (tptp.c_Product__Type_Omap__pair @t8 @t49 @t1685 @t3082 @t2 @t1) (tptp.hAPP @t4329 (tptp.hAPP @t4327 @t88))))))) % 53.50/53.74 (assume @p3182 (forall (@list @t1 @t2 @t3082 @t1685 @t2733 @t33 @t13 @t49 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3908 @t2733)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4333 (tptp.hAPP (tptp.hAPP @t4332 @t794) @t4331)) (tptp.hAPP (tptp.c_Set_Oimage @t2660 @t4295 @t4330) @t2733)))))) % 53.50/53.74 (assume @p3183 (forall (@list @t48 @t1 @t2 @t3082 @t1685 @t8 @t49) (= (tptp.hAPP @t3135 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t1685 @t49 @t3082 @t8 @t2 @t1) @t48)) @t3312))) % 53.50/53.74 (assume @p3184 (forall (@list @t79 @t49 @t8) (= (tptp.hAPP @t4334 @t79) @t79))) % 53.50/53.74 (assume @p3185 (forall (@list @t48 @t1 @t2 @t3082 @t1685 @t49 @t8) (= (tptp.hAPP @t3149 (tptp.hAPP @t4335 @t48)) @t3314))) % 53.50/53.74 (assume @p3186 (forall (@list @t33 @t13 @t1 @t2 @t49 @t3082 @t8 @t1685) (= (tptp.hAPP @t4335 (tptp.hAPP (tptp.hAPP @t4332 @t13) @t33)) (tptp.hAPP (tptp.hAPP @t2739 @t794) @t4331)))) % 53.50/53.74 (assume @p3187 (forall (@list @t1 @t2 @t3082 @t49 @t1685 @t8) (= @t4330 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t49 @t4295) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4338 @t4337) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4336 (tptp.tc_fun @t4338 @t4337) @t8) (tptp.c_COMBB @t3082 @t4295 @t49)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1685 @t4336 @t8) @t4332) @t2))) @t1))))) % 53.50/53.74 (assume @p3188 (forall (@list @t4339 @t88 @t1 @t1685 @t3082 @t4002 @t25 @t2 @t8 @t49) (=> @t4340 (=> (= (tptp.hAPP @t4326 @t88) @t4339) (= (tptp.hAPP @t4324 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t49 @t3082) @t25) (tptp.hAPP (tptp.c_COMBK @t4294 @t49) @t88))) (tptp.hAPP (tptp.hAPP @t4328 @t4002) (tptp.hAPP @t4327 @t4339))))))) % 53.50/53.74 (assume @p3189 (forall (@list @t2733 @t1 @t2 @t3082 @t1685 @t32 @t49 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4320 (tptp.hAPP (tptp.c_Set_Oimage @t4295 @t2660 @t4335) @t2733))) (not (forall @t435 (=> (= @t32 (tptp.hAPP (tptp.hAPP @t2739 @t5) (tptp.hAPP @t1 @t429))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4333 (tptp.hAPP (tptp.hAPP @t4332 @t3) @t429)) @t2733))))))))) % 53.50/53.74 (assume @p3190 (forall @t4037 (= @t4342 (and @t4278 @t4341)))) % 53.50/53.74 (assume @p3191 (forall @t4358 (=> @t4357 (= (tptp.hAPP tptp.c_Nat_OSuc @t4355) @t4350)))) % 53.50/53.74 (assume @p3192 (forall @t4363 (=> @t4362 @t4361))) % 53.50/53.74 (assume @p3193 (forall @t4370 (=> (or @t4369 @t4368) (tptp.hBOOL (tptp.hAPP @t334 @t4366))))) % 53.50/53.74 (assume @p3194 (forall @t2039 (tptp.hBOOL (tptp.hAPP @t3186 (tptp.hAPP @t4349 (tptp.hAPP @t4344 @t676)))))) % 53.50/53.74 (assume @p3195 (forall @t2039 (tptp.hBOOL (tptp.hAPP @t3186 (tptp.hAPP @t4349 (tptp.hAPP (tptp.hAPP @t4343 @t595) @t676)))))) % 53.50/53.74 (assume @p3196 (forall @t4376 (= (tptp.hAPP @t4375 (tptp.hAPP @t3039 (tptp.hAPP (tptp.hAPP @t4261 @t4374) @t305))) (tptp.hAPP @t4373 (tptp.hAPP @t4372 @t305))))) % 53.50/53.74 (assume @p3197 (forall @t4376 (= (tptp.hAPP @t4375 (tptp.hAPP @t3039 (tptp.hAPP (tptp.hAPP @t3462 @t4374) @t305))) (tptp.hAPP @t4373 (tptp.hAPP @t3455 (tptp.hAPP @t4371 @t305)))))) % 53.50/53.74 (assume @p3198 (forall @t4382 (= @t4381 @t4377))) % 53.50/53.74 (assume @p3199 (forall @t4385 (= (tptp.hAPP @t4205 @t4384) (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4383 @t178) @t2))))) % 53.50/53.74 (assume @p3200 (forall @t96 (= @t2651 (tptp.hAPP @t4359 (tptp.hAPP @t4386 tptp.c_fTrue))))) % 53.50/53.74 (assume @p3201 (forall @t4370 (= @t4388 (tptp.hAPP (tptp.hAPP @t83 @t4360) @t4367)))) % 53.50/53.74 (assume @p3202 (forall @t4370 (= @t4366 (tptp.hAPP (tptp.hAPP @t486 @t4360) @t4367)))) % 53.50/53.74 (assume @p3203 (forall @t96 (= @t30 (tptp.hAPP @t4359 @t4389)))) % 53.50/53.74 (assume @p3204 (forall @t4370 (= (tptp.hBOOL (tptp.hAPP @t334 @t4388)) (and @t4369 @t4368)))) % 53.50/53.74 (assume @p3205 (forall @t4382 (= (= @t4360 @t30) @t4391))) % 53.50/53.74 (assume @p3206 (forall @t4382 (= (= @t30 @t4360) @t4391))) % 53.50/53.74 (assume @p3207 (forall @t4382 (= @t4360 @t178))) % 53.50/53.74 (assume @p3208 (forall @t4393 (= (tptp.hAPP @t27 @t4360) (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t4392 (tptp.hAPP @t4379 @t2816))) @t178))))) % 53.50/53.74 (assume @p3209 (forall @t135 (tptp.c_Relation_Orefl__on @t8 @t25 @t3838))) % 53.50/53.74 (assume @p3210 (forall @t135 (= (tptp.hAPP @t4359 @t2834) @t25))) % 53.50/53.74 (assume @p3211 (forall @t4393 (= @t4361 @t4362))) % 53.50/53.74 (assume @p3212 (forall @t4393 (=> @t4361 @t4362))) % 53.50/53.74 (assume @p3213 (forall @t252 (= @t89 (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t4387 @t2816)) @t2835))))) % 53.50/53.74 (assume @p3214 (forall @t116 (= @t131 (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t4387 @t2834)) @t2835))))) % 53.50/53.74 (assume @p3215 (forall @t116 (= @t488 @t4394))) % 53.50/53.74 (assume @p3216 (forall (@list @t178 @t25 @t48 @t8) (= (tptp.hBOOL (tptp.hAPP @t148 @t4395)) (and @t149 @t310)))) % 53.50/53.74 (assume @p3217 (forall @t4363 (and (=> @t4362 (= @t4396 @t45)) (=> @t4397 (= @t4396 @t30))))) % 53.50/53.74 (assume @p3218 (forall @t4363 (and (=> @t4362 (= @t4398 @t45)) (=> @t4397 (= @t4398 @t30))))) % 53.50/53.74 (assume @p3219 (forall @t14 (= @t4399 @t45))) % 53.50/53.74 (assume @p3220 (forall @t14 (= (tptp.hAPP @t4359 @t2804) @t45))) % 53.50/53.74 (assume @p3221 (forall @t116 (= @t92 (tptp.hAPP @t4359 (tptp.hAPP @t4198 (tptp.hAPP @t4379 @t2835)))))) % 53.50/53.74 (assume @p3222 (forall @t4382 (=> @t4369 (= (tptp.hBOOL (tptp.hAPP @t334 @t4381)) @t2658)))) % 53.50/53.74 (assume @p3223 (forall @t252 (= @t89 (tptp.hAPP (tptp.hAPP @t83 @t4399) @t88)))) % 53.50/53.74 (assume @p3224 (forall @t135 (= @t2198 (tptp.hAPP @t4359 (tptp.hAPP @t4379 @t2834))))) % 53.50/53.74 (assume @p3225 (forall @t4226 (= @t4214 (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t80 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t49 (tptp.tc_fun @t80 tptp.tc_HOL_Obool) @t8) @t343) @t2)) @t88))))) % 53.50/53.74 (assume @p3226 (forall @t4370 (= (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t4392 @t178)) @t305)) (tptp.hAPP (tptp.hAPP @t83 @t4377) @t4367)))) % 53.50/53.74 (assume @p3227 (forall @t2494 (tptp.hBOOL (tptp.hAPP @t3186 (tptp.hAPP @t4349 (tptp.hAPP (tptp.hAPP @t4348 (tptp.hAPP @t4347 @t178)) @t4351)))))) % 53.50/53.74 (assume @p3228 (forall @t96 (tptp.c_Relation_Orefl__on @t8 @t30 @t2947))) % 53.50/53.74 (assume @p3229 (forall @t4401 (=> @t4342 (=> @t4400 (tptp.c_Relation_Orefl__on @t8 @t131 @t3833))))) % 53.50/53.74 (assume @p3230 (forall @t4401 (=> @t4342 (=> @t4400 (tptp.c_Relation_Orefl__on @t8 @t488 @t4404))))) % 53.50/53.74 (assume @p3231 (forall (@list @t2733 @t2 @t1076 @t49 @t1067 @t8 @t1685) (=> @t4315 (=> @t1084 (=> @t4412 (= (tptp.hAPP (tptp.hAPP @t4314 (tptp.hAPP @t4313 @t4411)) @t1067) (tptp.hAPP (tptp.hAPP @t4312 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t49 @t29 @t1685) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t8 @t1685) (tptp.tc_fun @t29 @t1685) @t49) @t4314) (tptp.hAPP (tptp.c_COMBC @t8 @t49 @t1685) @t2))) (tptp.hAPP @t4407 (tptp.hAPP (tptp.hAPP @t3403 @t4406) @t4405)))) @t1076))))))) % 53.50/53.74 (assume @p3232 (forall (@list @t1067 @t1 @t2 @t178 @t8 @t49) (= (tptp.hAPP (tptp.c_Set_Oimage @t49 @t8 (tptp.hAPP (tptp.hAPP @t2727 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t49 @t8 @t2722) (tptp.hAPP @t4229 @t178)) @t2)) @t1)) @t1067) (tptp.hAPP (tptp.hAPP @t83 (tptp.hAPP @t3842 (tptp.hAPP @t4413 @t4384))) (tptp.hAPP @t3889 (tptp.hAPP @t4413 (tptp.hAPP @t4371 (tptp.hAPP (tptp.hAPP @t4186 tptp.c_fNot) @t178)))))))) % 53.50/53.74 (assume @p3233 (forall (@list @t672 @t2 @t8 @t25) (=> (= @t25 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t8 @t2) (tptp.hAPP @t4349 (tptp.hAPP @t4344 @t672)))) @t335))) % 53.50/53.74 (assume @p3234 (forall @t4048 (=> @t4342 (=> @t118 @t4415)))) % 53.50/53.74 (assume @p3235 (forall @t4058 (=> @t4342 (=> @t4053 @t190)))) % 53.50/53.74 (assume @p3236 (forall @t4058 (=> @t4342 (=> @t4053 @t149)))) % 53.50/53.74 (assume @p3237 (forall @t2837 (=> @t1101 (=> @t335 (= (tptp.hAPP @t1091 @t4394) @t2836))))) % 53.50/53.74 (assume @p3238 (forall (@list @t2 @t1685 @t1 @t1067 @t8 @t49) (=> @t1101 (=> @t1084 (= (tptp.hAPP @t1102 @t1067) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1685 @t49) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 @t49 @t1685) @t1102) (tptp.hAPP (tptp.hAPP @t3419 @t4359) (tptp.hAPP (tptp.hAPP @t3419 @t4406) (tptp.hAPP (tptp.c_COMBC @t8 @t1685 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1685 @t2750 @t8) tptp.c_fequal) @t2)))))) (tptp.hAPP @t4416 @t1067))))))) % 53.50/53.74 (assume @p3239 (forall (@list @t13 @t2067 @t8 @t49) (= @t4023 (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4006 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4005 @t4417 @t8) @t4013) @t4021)) @t2067))))) % 53.50/53.74 (assume @p3240 (forall (@list @t1 @t2 @t178 @t25 @t8 @t49) (=> @t1101 (=> @t335 (= (tptp.hAPP (tptp.hAPP @t1090 (tptp.hAPP (tptp.hAPP @t2792 (tptp.hAPP (tptp.hAPP @t2806 (tptp.hAPP @t2805 @t178)) @t2)) @t1)) @t25) (tptp.hAPP (tptp.hAPP @t1099 (tptp.hAPP @t1091 @t4395)) (tptp.hAPP @t1102 (tptp.hAPP @t487 @t4377)))))))) % 53.50/53.74 (assume @p3241 (forall @t4358 (=> (not @t4357) (= @t4355 @t4350)))) % 53.50/53.74 (assume @p3242 (forall @t4358 (=> @t4357 (not (= @t4350 @t1157))))) % 53.50/53.74 (assume @p3243 (forall @t4418 (=> @t4278 (=> @t4341 @t4342)))) % 53.50/53.74 (assume @p3244 (forall (@list @t676 @t2733 @t1076 @t49 @t1067 @t8) (=> @t1084 (=> @t4412 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1087 @t1076)) (= (tptp.hAPP @t503 (tptp.hAPP @t4359 (tptp.hAPP @t4406 @t4419))) @t676))) (= (tptp.hAPP (tptp.hAPP @t1113 (tptp.hAPP @t4316 @t4411)) @t1067) (tptp.hAPP @t1141 (tptp.hAPP @t1146 @t1076)))))))) % 53.50/53.74 (assume @p3245 (forall @t116 (=> @t374 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (= (tptp.hAPP (tptp.hAPP @t1545 @t3287) @t3296) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 (tptp.hAPP @t4359 (tptp.hAPP @t4434 (tptp.hAPP @t4435 (tptp.hAPP (tptp.hAPP @t4432 (tptp.hAPP @t4431 (tptp.hAPP @t4430 (tptp.hAPP @t4427 (tptp.hAPP @t4425 @t1545))))) @t4422))))))))))))) % 53.50/53.74 (assume @p3246 (forall @t135 (=> @t335 (tptp.hBOOL (tptp.hAPP @t909 @t4437))))) % 53.50/53.74 (assume @p3247 (forall @t135 (= (tptp.hAPP @t2584 @t2198) (tptp.hAPP @t4436 (tptp.hAPP (tptp.hAPP @t4438 @t4447) (tptp.hAPP (tptp.hAPP @t4446 (tptp.hAPP @t4445 (tptp.hAPP @t4443 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t29 @t2844 @t1048) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1048 (tptp.tc_fun @t2844 @t1048) @t29) @t4439) tptp.c_fequal)) @t2197)))) (tptp.hAPP (tptp.hAPP @t4438 @t2589) @t2584))))))) % 53.50/53.74 (assume @p3248 (forall @t135 (= @t2585 @t4437))) % 53.50/53.74 (assume @p3249 (forall @t3655 (=> @t4369 (tptp.hBOOL (tptp.hAPP @t346 (tptp.hAPP @t4371 (tptp.hAPP @t4450 (tptp.hAPP (tptp.hAPP @t3415 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3894 @t2844 @t49) @t4197) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 @t3894 @t49) @t3893) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 @t143 @t29) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 @t4448 @t49) @t4383) tptp.c_fequal)) @t2)))) @t178)))))))) % 53.50/53.74 (assume @p3250 (forall (@list @t305 @t49 @t178 @t8) (=> @t4369 (= (tptp.hBOOL (tptp.hAPP @t346 (tptp.hAPP @t4371 (tptp.hAPP @t4450 (tptp.hAPP (tptp.hAPP @t3403 @t4365) @t305))))) (forall @t1089 (=> @t4453 (tptp.hBOOL (tptp.hAPP @t346 (tptp.hAPP @t4371 (tptp.hAPP @t4452 @t429)))))))))) % 53.50/53.74 (assume @p3251 (forall @t2657 (tptp.c_Fun_Oinj__on @t143 @t2661 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2661 @t2661 @t143) @t4375) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2744 @t2661 @t143) @t3039) (tptp.hAPP @t4192 (tptp.hAPP (tptp.c_COMBC @t49 @t49 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t2655))) % 53.50/53.74 (assume @p3252 (forall @t1858 (tptp.c_Nat__Transfer_Onat__set @t4455))) % 53.50/53.74 (assume @p3253 (forall @t96 (= @t3235 (tptp.hAPP (tptp.c_Set_OCollect @t3237) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t29 @t29 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t4446 (tptp.hAPP @t4445 (tptp.hAPP @t4443 @t349))) @t334)))))) % 53.50/53.74 (assume @p3254 (forall (@list @t2 @t2067 @t8 @t49) (= @t3743 (tptp.hAPP @t4460 (tptp.hAPP @t3896 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3730 @t29) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4459 (tptp.tc_fun @t3730 @t29) @t8) (tptp.c_COMBC @t8 @t3730 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4457 @t4459 @t8) (tptp.hAPP (tptp.c_COMBB @t3230 @t4458 @t8) @t3231)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t143 @t4457) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4456 (tptp.tc_fun @t143 @t4457) @t8) (tptp.c_COMBB @t49 @t3230 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t49 @t4456 @t8) @t3229) @t2))) @t2)))) @t2067)))))) % 53.50/53.74 (assume @p3255 (forall @t1858 (= @t4455 (tptp.hAPP @t3909 (tptp.hAPP @t4349 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t178) @t1853)))))) % 53.50/53.74 (assume @p3256 (forall @t1858 (= (tptp.hAPP @t4349 @t178) (tptp.hAPP @t3913 (tptp.hAPP @t4454 (tptp.hAPP @t3118 (tptp.hAPP (tptp.hAPP @t2875 @t178) tptp.c_Int_Onat))))))) % 53.50/53.74 (assume @p3257 (forall @t4465 (=> @t4464 (=> @t1791 (=> @t3950 (= (tptp.hAPP @t4461 @t1790) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t4463))))))) % 53.50/53.74 (assume @p3258 (forall @t4465 (=> @t4464 (=> @t1791 (=> @t3950 (= (tptp.hAPP @t4461 @t3300) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t4463))))))) % 53.50/53.74 (assume @p3259 (forall @t116 (=> @t4466 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (= (tptp.hAPP (tptp.hAPP @t137 @t637) @t654) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 (tptp.hAPP @t4359 (tptp.hAPP @t4434 (tptp.hAPP @t4435 (tptp.hAPP (tptp.hAPP @t4432 (tptp.hAPP @t4431 (tptp.hAPP @t4430 (tptp.hAPP @t4427 (tptp.hAPP @t4425 @t137))))) @t4422))))))))))))) % 53.50/53.74 (assume @p3260 (forall @t73 (=> @t4466 (=> @t335 (=> @t68 (= (tptp.hAPP @t273 @t637) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 (tptp.hAPP @t4359 (tptp.hAPP @t4434 (tptp.hAPP (tptp.hAPP @t2841 (tptp.hAPP @t4428 (tptp.hAPP @t3895 (tptp.hAPP @t4462 @t273)))) @t2834)))))))))) % 53.50/53.74 (assume @p3261 (forall @t116 (=> @t4466 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (= (tptp.hAPP (tptp.hAPP @t528 @t502) @t589) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 (tptp.hAPP @t4359 (tptp.hAPP @t4434 (tptp.hAPP @t4435 (tptp.hAPP (tptp.hAPP @t4432 (tptp.hAPP @t4431 (tptp.hAPP @t4430 (tptp.hAPP @t4427 (tptp.hAPP @t4425 @t528))))) @t4422))))))))))))) % 53.50/53.74 (assume @p3262 (forall @t73 (=> @t4466 (=> @t335 (=> @t68 (= (tptp.hAPP @t552 @t502) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 (tptp.hAPP @t4359 (tptp.hAPP @t4434 (tptp.hAPP (tptp.hAPP @t2841 (tptp.hAPP @t4428 (tptp.hAPP @t3895 (tptp.hAPP @t4462 @t552)))) @t2834)))))))))) % 53.50/53.74 (assume @p3263 (forall @t116 (=> @t374 (=> @t335 (=> @t68 (=> @t413 (=> @t450 (= (tptp.hAPP (tptp.hAPP @t3251 @t1692) @t1784) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 (tptp.hAPP @t4359 (tptp.hAPP @t4434 (tptp.hAPP @t4435 (tptp.hAPP (tptp.hAPP @t4432 (tptp.hAPP @t4431 (tptp.hAPP @t4430 (tptp.hAPP @t4427 (tptp.hAPP @t4425 @t3251))))) @t4422))))))))))))) % 53.50/53.74 (assume @p3264 (forall @t73 (=> @t374 (=> @t335 (=> @t68 (= (tptp.hAPP @t3253 @t1692) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 (tptp.hAPP @t4359 (tptp.hAPP @t4434 (tptp.hAPP (tptp.hAPP @t2841 (tptp.hAPP @t4428 (tptp.hAPP @t3895 (tptp.hAPP @t4462 @t3253)))) @t2834)))))))))) % 53.50/53.74 (assume @p3265 (forall @t73 (=> @t374 (=> @t335 (=> @t68 (= (tptp.hAPP @t1587 @t3287) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 (tptp.hAPP @t4359 (tptp.hAPP @t4434 (tptp.hAPP (tptp.hAPP @t2841 (tptp.hAPP @t4428 (tptp.hAPP @t3895 (tptp.hAPP @t4462 @t1587)))) @t2834)))))))))) % 53.50/53.74 (assume @p3266 (forall @t1235 (= (tptp.c_Nitpick_Oprod @t8 @t49 @t25 @t88) (tptp.hAPP @t4375 (tptp.hAPP @t3039 @t4467))))) % 53.50/53.74 (assume @p3267 (forall @t4471 (= @t4470 (tptp.hAPP @t4469 (tptp.hAPP @t2999 (tptp.hAPP (tptp.hAPP @t2998 (tptp.hAPP @t2864 @t4468)) @t1604)))))) % 53.50/53.74 (assume @p3268 (forall @t4471 (= @t4472 (tptp.hAPP @t4469 (tptp.hAPP @t2999 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t2996 @t2996) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2668 @t3120 tptp.tc_Int_Oint) @t2861) @t4468)) @t1604)))))) % 53.50/53.74 (assume @p3269 (forall @t2068 (= @t4474 (tptp.c_Relation_Orefl__on @t8 @t2651 @t4473)))) % 53.50/53.74 (assume @p3270 (forall (@list @t88 @t25 @t1 @t2 @t49 @t8 @t1685) (=> (tptp.class_Rings_Osemiring__0 @t1685) (=> (tptp.c_Fun_Oinj__on @t2660 @t1685 (tptp.hAPP @t3067 @t4476) @t4263) (= (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP (tptp.hAPP @t4314 @t2) @t25)) (tptp.hAPP (tptp.hAPP @t4312 @t1) @t88)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1685 @t1685) (tptp.c_Fun_Oid @t1685)) (tptp.hAPP (tptp.c_Set_OCollect @t1685) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 tptp.tc_HOL_Obool @t1685) @t4433) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2744 @t29 @t1685) @t4484) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1685 @t2744 @t2744) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4481 (tptp.tc_fun @t2744 @t2744) @t1685) @t4261) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4480 @t4481 @t1685) (tptp.hAPP (tptp.c_COMBB @t4479 @t3459 @t8) @t4410)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2744 @t4480 @t1685) (tptp.hAPP (tptp.c_COMBB @t80 @t4479 @t8) @t4409)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1685 @t4478 @t2744) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4477 (tptp.tc_fun @t4478 @t2744) @t1685) (tptp.c_COMBB @t3078 @t80 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2750 @t4477 @t1685) (tptp.c_COMBB @t1685 tptp.tc_HOL_Obool @t49)) tptp.c_fequal))) @t4476))))) @t4467)))))))))) % 53.50/53.74 (assume @p3271 (forall (@list @t676 @t2733 @t20 @t49 @t3148 @t8) (=> @t3247 (=> (tptp.hBOOL (tptp.hAPP @t346 @t20)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1087 @t20)) (= (tptp.hAPP @t503 (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t3893 (tptp.hAPP @t2734 @t3148))) @t4419))) (tptp.hAPP @t676 @t3)))) (= (tptp.hAPP (tptp.hAPP @t1113 (tptp.hAPP @t4316 (tptp.hAPP @t4372 (tptp.hAPP (tptp.hAPP @t3441 (tptp.hAPP @t4410 (tptp.hAPP @t4409 (tptp.hAPP @t3447 @t20)))) @t2733)))) @t3148) (tptp.hAPP (tptp.hAPP @t2802 @t676) @t20))))))) % 53.50/53.74 (assume @p3272 (forall @t135 (tptp.c_Fun_Oinj__on @t8 @t8 @t4485 @t25))) % 53.50/53.74 (assume @p3273 (forall @t103 (= (tptp.hAPP @t4486 @t97) @t97))) % 53.50/53.74 (assume @p3274 (forall (@list @t4487 @t98) (= (tptp.hAPP @t4486 @t4487) @t4487))) % 53.50/53.74 (assume @p3275 (forall @t4105 (=> @t4474 (tptp.hBOOL (tptp.hAPP @t4488 @t48))))) % 53.50/53.74 (assume @p3276 (forall @t4491 (= (tptp.c_Product__Type_Oapsnd @t49 @t49 @t8 @t4490) @t4489))) % 53.50/53.74 (assume @p3277 (forall @t2657 (= (tptp.c_Product__Type_Oapfst @t8 @t8 @t49 @t4485) @t4489))) % 53.50/53.74 (assume @p3278 (forall @t135 (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t8 @t4485) @t25) @t25))) % 53.50/53.74 (assume @p3279 (forall @t2657 (= (tptp.c_Product__Type_Omap__pair @t8 @t8 @t49 @t49 @t4485 @t4490) @t4489))) % 53.50/53.74 (assume @p3280 (forall @t2657 (= @t4334 @t4489))) % 53.50/53.74 (assume @p3281 (forall @t3941 (= (tptp.hAPP @t4492 @t3518) @t3518))) % 53.50/53.74 (assume @p3282 (= @t2616 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 53.50/53.74 (assume @p3283 (forall @t96 (= (tptp.hAPP @t4492 @t2651) @t2651))) % 53.50/53.74 (assume @p3284 (forall (@list @t2 @t8 @t1685 @t49) (= (tptp.c_Product__Type_Oapsnd @t49 @t1685 @t8 @t2) (tptp.c_Product__Type_Omap__pair @t8 @t8 @t49 @t1685 @t4485 @t2)))) % 53.50/53.74 (assume @p3285 (forall (@list @t2 @t49 @t1685 @t8) (= (tptp.c_Product__Type_Oapfst @t8 @t1685 @t49 @t2) (tptp.c_Product__Type_Omap__pair @t8 @t1685 @t49 @t49 @t2 @t4490)))) % 53.50/53.74 (assume @p3286 (forall @t2657 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t49 @t2660) @t2739) @t4489))) % 53.50/53.74 (assume @p3287 (forall @t4493 (=> @t1101 (=> @t4107 (= @t1111 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t49 @t49) @t4490) @t3861)))))) % 53.50/53.74 (assume @p3288 (forall @t4493 (=> @t811 (=> @t4107 (= @t1528 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t49 @t49) @t4490) @t3861)))))) % 53.50/53.74 (assume @p3289 (forall @t135 (= @t335 (exists (@list @t1876 @t3916) (= @t25 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t8 @t3916) (tptp.hAPP @t4349 (tptp.hAPP @t4344 @t1876)))))))) % 53.50/53.74 (assume @p3290 (forall (@list @t3148 @t2067 @t49 @t1685 @t8) (= @t4504 (tptp.hAPP @t4375 (tptp.hAPP @t3039 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3361 @t80 @t8) (tptp.hAPP (tptp.c_COMBB @t2750 tptp.tc_HOL_Obool @t49) (tptp.c_HOL_OEx @t1685))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3361 @t3361) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4233 (tptp.tc_fun @t3361 @t3361) @t8) (tptp.c_COMBB @t2750 @t2750 @t49)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4502 @t4233 @t8) (tptp.c_COMBS @t1685 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2750 @t4502 @t8) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2668 @t1685) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4322 @t2750) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4501 (tptp.tc_fun @t4322 @t2750) @t8) (tptp.c_COMBC @t1685 @t4322 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t1685 @t4321) @t4501 @t8) (tptp.hAPP (tptp.c_COMBB @t4321 @t4500 @t1685) @t4499)) @t3075))) @t2067))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 @t4496 @t2750) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4498 (tptp.tc_fun @t4496 @t2750) @t49) (tptp.c_COMBC @t1685 @t4496 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t1685 @t4494) @t4498 @t49) (tptp.hAPP (tptp.c_COMBB @t4494 @t4497 @t1685) @t4495)) (tptp.hAPP (tptp.c_COMBC @t1685 @t49 @t4494) @t3320)))) @t3148)))))))) % 53.50/53.74 (assume @p3291 (forall @t4508 (= (tptp.hAPP @t4507 @t4506) (tptp.hAPP @t4359 (tptp.hAPP @t4484 @t4505))))) % 53.50/53.74 (assume @p3292 (forall (@list @t3148 @t32 @t1685 @t2067 @t33 @t13 @t49 @t8) (=> @t4018 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3430 (tptp.hAPP (tptp.hAPP @t3069 @t33) @t32)) @t3148)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4499 (tptp.hAPP (tptp.hAPP @t3075 @t13) @t32)) @t4510)))))) % 53.50/53.74 (assume @p3293 (forall @t4512 (=> @t4018 (tptp.hBOOL (tptp.hAPP @t3664 @t4511))))) % 53.50/53.74 (assume @p3294 (forall (@list @t3148 @t2067 @t3365 @t3082 @t49 @t1685 @t8) (= (tptp.hAPP (tptp.hAPP @t4503 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3082 @t4322) @t3365) @t2067)) @t3148) (tptp.hAPP @t4513 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3082 @t4496 @t2661) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4322 (tptp.tc_fun @t4496 @t2661) @t3082) @t4503) @t2067)) @t3148))))) % 53.50/53.74 (assume @p3295 (forall (@list @t2067 @t3365 @t3082 @t3148 @t49 @t1685 @t8) (= (tptp.hAPP @t4514 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3082 @t4496) @t3365) @t2067)) (tptp.hAPP @t4513 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4496 @t2661 @t3082) @t4514) @t2067))))) % 53.50/53.74 (assume @p3296 (forall (@list @t3148 @t4515 @t1685 @t2067 @t4003 @t49 @t8) (=> @t4004 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4517 @t4515) @t3148)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4516 (tptp.hAPP (tptp.hAPP @t4509 @t4003) @t4515)) @t4510)))))) % 53.50/53.74 (assume @p3297 (forall (@list @t1076 @t1067 @t2733 @t49 @t1685 @t8) (= (tptp.hAPP @t4518 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4496) @t1067) @t1076)) (tptp.hAPP (tptp.hAPP @t2769 (tptp.hAPP @t4518 @t1067)) (tptp.hAPP @t4518 @t1076))))) % 53.50/53.74 (assume @p3298 (forall (@list @t2733 @t1076 @t1067 @t49 @t1685 @t8) (= (tptp.hAPP (tptp.hAPP @t4503 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4322) @t1067) @t1076)) @t2733) (tptp.hAPP (tptp.hAPP @t2769 (tptp.hAPP (tptp.hAPP @t4503 @t1067) @t2733)) (tptp.hAPP (tptp.hAPP @t4503 @t1076) @t2733))))) % 53.50/53.74 (assume @p3299 (forall (@list @t1076 @t1067 @t2733 @t3082 @t49 @t1685 @t8) (= (tptp.hAPP (tptp.hAPP @t4503 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t3082 @t1685) @t2733) @t1067)) @t1076) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t3082 @t49) @t2733) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t3082 @t1685 @t49) @t1067) @t1076))))) % 53.50/53.74 (assume @p3300 (forall @t4519 (= (tptp.hAPP (tptp.hAPP @t4503 (tptp.c_Orderings_Obot__class_Obot @t4322)) @t2733) @t2738))) % 53.50/53.74 (assume @p3301 (forall @t4519 (= (tptp.hAPP @t4518 (tptp.c_Orderings_Obot__class_Obot @t4496)) @t2738))) % 53.50/53.74 (assume @p3302 (forall @t135 (= (tptp.hAPP @t4520 @t3838) @t25))) % 53.50/53.74 (assume @p3303 (forall @t175 (=> (= (tptp.hAPP @t4522 @t88) @t2947) (=> @t4523 (= (tptp.hAPP @t4522 (tptp.hAPP (tptp.hAPP @t3831 @t88) @t171)) @t2947))))) % 53.50/53.74 (assume @p3304 (forall @t226 (=> @t4523 (=> (= (tptp.hAPP (tptp.hAPP @t4521 @t88) @t171) @t2947) (= (tptp.hAPP (tptp.hAPP @t4521 (tptp.hAPP (tptp.hAPP @t3831 @t25) @t88)) @t171) @t2947))))) % 53.50/53.74 (assume @p3305 (forall (@list @t1067 @t8 @t49) (= (tptp.hAPP @t4507 (tptp.c_Complete__Lattice_OSup__class_OSup @t4006 @t1067)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4006 @t29) @t1067) @t4507)))) % 53.50/53.74 (assume @p3306 (forall @t4491 (= (tptp.hAPP @t4507 @t4524) @t30))) % 53.50/53.74 (assume @p3307 (forall @t4526 (= (= @t4525 @t30) (= @t2067 @t4524)))) % 53.50/53.74 (assume @p3308 (forall (@list @t171 @t3148 @t1685 @t88 @t25 @t2067 @t49 @t8) (=> @t4283 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4517 @t3148) (tptp.hAPP (tptp.hAPP @t4266 @t88) (tptp.hAPP @t4265 @t171)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4516 @t4510) (tptp.hAPP @t4329 (tptp.hAPP @t4327 @t171)))))))) % 53.50/53.74 (assume @p3309 (forall @t3379 (= (tptp.hAPP @t4507 (tptp.hAPP (tptp.hAPP @t4007 @t25) @t88)) (tptp.hAPP (tptp.hAPP @t83 @t4528) @t4527)))) % 53.50/53.74 (assume @p3310 (forall @t4530 (=> @t4529 (tptp.hBOOL (tptp.hAPP @t346 @t4511))))) % 53.50/53.74 (assume @p3311 (forall @t3993 (= (tptp.hAPP (tptp.c_Set_Oimage @t4005 @t8 @t3135) @t2733) (tptp.hAPP @t4507 @t2733)))) % 53.50/53.74 (assume @p3312 (forall @t4531 (= (tptp.hBOOL (tptp.hAPP @t117 @t4525)) (exists @t1089 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4013 (tptp.hAPP (tptp.hAPP @t3162 @t429) @t13)) @t2067)))))) % 53.50/53.74 (assume @p3313 (forall (@list @t2067 @t33 @t13 @t8 @t49) (= (tptp.hAPP @t4507 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4005) @t4022) @t2067)) (tptp.hAPP @t40 @t4525)))) % 53.50/53.74 (assume @p3314 (forall @t1235 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP @t4507 (tptp.hAPP (tptp.hAPP @t4532 @t25) @t88))) (tptp.hAPP (tptp.hAPP @t486 @t4528) @t4527))))) % 53.50/53.74 (assume @p3315 (forall @t1235 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP (tptp.hAPP @t84 @t4528) @t4527)) (tptp.hAPP @t4507 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t4006) @t25) @t88)))))) % 53.50/53.74 (assume @p3316 (forall @t2761 (=> @t4539 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4537 (tptp.hAPP (tptp.hAPP @t4536 @t3584) (tptp.hAPP (tptp.hAPP @t4535 (tptp.c_Wellfounded_Omax__ext @t8 @t1067)) @t4534))) @t3584))))) % 53.50/53.74 (assume @p3317 (forall @t2761 (=> @t4539 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4537 (tptp.hAPP (tptp.hAPP @t4536 @t4540) (tptp.hAPP (tptp.hAPP @t4535 (tptp.c_Wellfounded_Omin__ext @t8 @t1067)) @t4534))) @t4540))))) % 53.50/53.74 (assume @p3318 (forall @t3449 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t8 @t49 @t4541) @t48)) (tptp.hBOOL (tptp.hAPP @t344 @t4511))))) % 53.50/53.74 (assume @p3319 (forall (@list @t2067 @t49 @t33 @t8) (=> (tptp.hBOOL (tptp.hAPP @t76 @t4525)) (not (forall @t7 (not @t4014)))))) % 53.50/53.74 (assume @p3320 (forall (@list @t57 @t48 @t3148 @t2067 @t1685 @t49 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp @t8 @t49 @t1685 @t4541 (tptp.hAPP @t3435 @t3148)) @t48) @t57)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4499 @t3076) @t4510))))) % 53.50/53.74 (assume @p3321 (forall (@list @t1685 @t49 @t8 @t32 @t3148 @t33 @t13 @t2067) (=> @t3056 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3148 @t33) @t32)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4542 @t13) @t32)))))) % 53.50/53.74 (assume @p3322 (forall @t4544 (=> @t3056 (tptp.hBOOL (tptp.hAPP @t4543 @t33))))) % 53.50/53.74 (assume @p3323 (forall (@list @t405 @t2067 @t49 @t8) (= (tptp.hBOOL (tptp.hAPP @t4543 @t405)) (exists @t4306 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2067 @t440) @t405)))))) % 53.50/53.74 (assume @p3324 (forall (@list @t432 @t406 @t3148 @t2067 @t1685 @t49 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4542 @t406) @t432)) (exists @t1394 (and (tptp.hBOOL (tptp.hAPP @t4545 @t1391)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3148 @t1391) @t432))))))) % 53.50/53.74 (assume @p3325 (forall @t2761 (=> @t4546 (=> @t4539 (tptp.c_FunDef_Oreduction__pair @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t2945 @t2945) @t2733) @t1067)))))) % 53.50/53.74 (assume @p3326 (forall @t4191 (= (tptp.hAPP @t4547 (tptp.hAPP @t4375 @t4202)) (tptp.hAPP @t4359 (tptp.hAPP @t4484 @t178))))) % 53.50/53.74 (assume @p3327 (forall @t54 (= (tptp.c_HOL_OThe @t8 @t4185) @t48))) % 53.50/53.74 (assume @p3328 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 53.50/53.74 (assume @p3329 (forall @t96 (tptp.c_Wellfounded_Owf @t8 @t2947))) % 53.50/53.74 (assume @p3330 (forall @t4550 (=> @t4549 (tptp.c_Wellfounded_Owf @t49 @t4548)))) % 53.50/53.74 (assume @p3331 (forall (@list @t4551 @t49 @t4552 @t8) (=> (tptp.c_Wellfounded_Owf @t8 @t4552) (=> (tptp.c_Wellfounded_Owf @t49 @t4551) (tptp.c_Wellfounded_Owf @t2660 (tptp.c_Wellfounded_Olex__prod @t8 @t49 @t4552 @t4551)))))) % 53.50/53.74 (assume @p3332 (forall @t4131 (tptp.c_Wellfounded_Owf @t8 @t3142))) % 53.50/53.74 (assume @p3333 (forall @t4512 (=> @t4018 @t4554))) % 53.50/53.74 (assume @p3334 (forall @t3927 (= @t4546 (tptp.c_Wellfounded_Owf @t8 @t4555)))) % 53.50/53.74 (assume @p3335 (forall @t2068 (=> @t4549 (tptp.c_Wellfounded_Owf @t29 (tptp.c_Wellfounded_Omin__ext @t8 @t2067))))) % 53.50/53.74 (assume @p3336 (forall @t4556 (=> @t4549 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 @t2671) @t2067)) (tptp.c_Wellfounded_Owf @t8 @t2671))))) % 53.50/53.74 (assume @p3337 (forall (@list @t2 @t2733 @t8) (=> @t4546 (tptp.c_Wellfounded_Owf @t8 @t3180)))) % 53.50/53.74 (assume @p3338 (forall @t96 (tptp.c_Wellfounded_Owf @t29 @t3235))) % 53.50/53.74 (assume @p3339 (forall @t4557 (=> @t4549 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t4403 @t4003))))) % 53.50/53.74 (assume @p3340 (forall @t4557 (=> @t4549 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP (tptp.hAPP @t4402 @t4003) @t2067))))) % 53.50/53.74 (assume @p3341 (forall @t135 (= (tptp.hAPP @t4558 @t3838) @t25))) % 53.50/53.74 (assume @p3342 (tptp.c_Wellfounded_Owf @t3113 tptp.c_FunDef_Opair__less)) % 53.50/53.74 (assume @p3343 (forall @t2068 (=> @t4549 (tptp.c_Wellfounded_Owf @t29 (tptp.c_Wellfounded_Omax__ext @t8 @t2067))))) % 53.50/53.74 (assume @p3344 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t4560 (tptp.hAPP @t4559 @t506)))) % 53.50/53.74 (assume @p3345 (forall @t3055 (=> @t4549 (not @t4415)))) % 53.50/53.74 (assume @p3346 (forall (@list @t48 @t13 @t2067 @t8) (=> @t4549 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t3232 @t48)) @t2067)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t3143 @t13)) @t2067))))))) % 53.50/53.74 (assume @p3347 (forall @t4471 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4472))) % 53.50/53.74 (assume @p3348 (forall @t4471 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4470))) % 53.50/53.74 (assume @p3349 (forall @t3830 (=> @t4549 (=> (tptp.c_Wellfounded_Owf @t8 @t3148) (=> (= (tptp.hAPP (tptp.hAPP @t486 @t4561) (tptp.hAPP @t4520 @t3148)) @t30) (tptp.c_Wellfounded_Owf @t8 @t3833)))))) % 53.50/53.74 (assume @p3350 (forall @t2068 (= @t4549 (forall @t7 @t4147)))) % 53.50/53.74 (assume @p3351 (forall @t4105 (=> @t4549 @t4103))) % 53.50/53.74 (assume @p3352 (forall @t3927 (=> (= @t4555 @t2947) @t4546))) % 53.50/53.74 (assume @p3353 (forall @t2761 (= @t4564 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP (tptp.hAPP @t3831 (tptp.hAPP (tptp.hAPP @t3831 @t4555) (tptp.hAPP (tptp.hAPP @t4521 @t1067) @t2733))) @t1067))))) % 53.50/53.74 (assume @p3354 (forall @t4530 (= (= @t4553 @t30) (= @t2067 @t2738)))) % 53.50/53.74 (assume @p3355 (forall @t2657 (= (tptp.hAPP @t4547 @t2738) @t30))) % 53.50/53.74 (assume @p3356 (forall @t4566 (=> @t4565 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4553) (tptp.hAPP @t4547 @t3148)))))) % 53.50/53.74 (assume @p3357 (forall @t1235 (= (tptp.hAPP @t4547 (tptp.hAPP (tptp.hAPP @t2769 @t25) @t88)) (tptp.hAPP (tptp.hAPP @t83 @t4568) @t4567)))) % 53.50/53.74 (assume @p3358 (forall @t4530 (=> @t4529 (tptp.hBOOL (tptp.hAPP @t334 @t4553))))) % 53.50/53.74 (assume @p3359 (forall @t4569 (= (tptp.hAPP (tptp.c_Set_Oimage @t2660 @t8 @t3149) @t2733) (tptp.hAPP @t4547 @t2733)))) % 53.50/53.74 (assume @p3360 (forall @t2068 (= @t4549 (not (exists @t3917 (forall @t1419 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2960 (tptp.hAPP @t3916 @t2672)) (tptp.hAPP @t3916 @t1415))) @t2067)))))))) % 53.50/53.74 (assume @p3361 (forall (@list @t25 @t2733 @t8) (=> @t4546 (=> (tptp.hBOOL (tptp.hAPP @t72 (tptp.hAPP @t4570 @t25))) @t67)))) % 53.50/53.74 (assume @p3362 (forall @t2761 (=> @t4546 (=> @t4571 (=> @t4539 @t4564))))) % 53.50/53.74 (assume @p3363 (forall @t4531 (= @t4554 (exists @t1089 @t4572)))) % 53.50/53.74 (assume @p3364 (forall @t96 (=> (tptp.class_Orderings_Owellorder @t8) (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t4460 (tptp.hAPP @t3896 @t368)))))) % 53.50/53.74 (assume @p3365 (forall @t4512 (= (tptp.hAPP @t4547 (tptp.hAPP @t4289 @t2067)) (tptp.hAPP @t27 @t4553)))) % 53.50/53.74 (assume @p3366 (forall @t4382 (= @t3654 (and (tptp.c_Wellfounded_Owf @t8 @t4573) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 (tptp.hAPP (tptp.hAPP @t4521 @t4573) @t4574)) @t4573)))))) % 53.50/53.74 (assume @p3367 (forall (@list @t1067 @t2733 @t178 @t8) (=> @t3654 (=> (tptp.hBOOL (tptp.hAPP @t4576 @t4573)) (=> (tptp.hBOOL (tptp.hAPP @t4575 @t4574)) (=> @t4571 @t4564)))))) % 53.50/53.74 (assume @p3368 (forall @t1235 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP @t4547 (tptp.hAPP (tptp.hAPP @t2772 @t25) @t88))) (tptp.hAPP (tptp.hAPP @t486 @t4568) @t4567))))) % 53.50/53.74 (assume @p3369 (forall @t1235 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP (tptp.hAPP @t84 @t4568) @t4567)) (tptp.hAPP @t4547 (tptp.hAPP (tptp.hAPP @t4252 @t25) @t88)))))) % 53.50/53.74 (assume @p3370 (forall @t2068 (= @t3819 (tptp.hAPP (tptp.hAPP @t83 @t4561) @t4577)))) % 53.50/53.74 (assume @p3371 (forall @t4550 (=> @t4549 (=> @t4114 (tptp.c_Wellfounded_Owf @t49 (tptp.hAPP (tptp.c_Set_Oimage @t2944 @t3230 (tptp.c_Product__Type_Omap__pair @t8 @t49 @t8 @t49 @t2 @t2)) @t2067)))))) % 53.50/53.74 (assume @p3372 (forall (@list @t1067 @t49 @t8) (= (tptp.hAPP @t4547 (tptp.c_Complete__Lattice_OSup__class_OSup @t2661 @t1067)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2661 @t29) @t1067) @t4547)))) % 53.50/53.74 (assume @p3373 (forall @t14 (= (tptp.c_HOL_OThe @t8 @t2816) @t13))) % 53.50/53.74 (assume @p3374 (forall @t3449 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t8 @t49 @t4541) @t48)) (tptp.hBOOL (tptp.hAPP @t148 @t4553))))) % 53.50/53.74 (assume @p3375 (forall @t2068 (=> @t4549 (tptp.c_Wellfounded_Owf @t4579 @t4578)))) % 53.50/53.74 (assume @p3376 (forall @t4531 (=> @t4554 (not (forall @t1089 (not @t4572)))))) % 53.50/53.74 (assume @p3377 (forall @t4544 (=> @t3056 (tptp.hBOOL (tptp.hAPP @t4580 @t13))))) % 53.50/53.74 (assume @p3378 (forall (@list @t406 @t2067 @t49 @t8) (= (tptp.hBOOL (tptp.hAPP @t4580 @t406)) (exists @t2441 (tptp.hBOOL (tptp.hAPP @t4545 @t2439)))))) % 53.50/53.74 (assume @p3379 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t4560 (tptp.hAPP @t4559 (tptp.hAPP (tptp.hAPP @t4581 (tptp.hAPP @t4343 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 53.50/53.74 (assume @p3380 (forall @t2068 (=> @t4549 (tptp.c_Wellfounded_Owf @t4579 @t4582)))) % 53.50/53.74 (assume @p3381 (forall @t4585 (=> @t4549 (tptp.c_Wellfounded_Owf @t4579 @t4584)))) % 53.50/53.74 (assume @p3382 (forall @t2068 (= @t4582 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t4587) @t3220) @t4583)))) % 53.50/53.74 (assume @p3383 (forall @t2068 (= (tptp.hAPP @t4583 @t1157) (tptp.c_Orderings_Obot__class_Obot @t4587)))) % 53.50/53.74 (assume @p3384 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 53.50/53.74 (assume @p3385 (forall (@list @t8 @t2733 @t49 @t178) (=> (forall @t7 (=> @t180 (tptp.c_Wellfounded_Owf @t49 @t4080))) (tptp.c_Wellfounded_Owf @t2660 @t3240)))) % 53.50/53.74 (assume @p3386 (forall (@list @t8 @t1 @t2 @t178) (=> (forall @t7 (=> @t180 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 (tptp.hAPP @t2 @t4)) @t5)))) (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t4460 (tptp.hAPP @t3896 (tptp.hAPP (tptp.hAPP @t4033 @t4365) (tptp.hAPP @t4462 @t1)))))))) % 53.50/53.74 (assume @p3387 (forall @t2068 (= @t4588 (tptp.c_Wellfounded_Owf @t8 @t4473)))) % 53.50/53.74 (assume @p3388 (forall @t96 (tptp.c_Wellfounded_OwfP @t8 (tptp.hAPP @t4275 @t4389)))) % 53.50/53.74 (assume @p3389 (forall @t2068 (= @t4588 (forall @t2441 (tptp.hBOOL (tptp.hAPP @t3052 @t2439)))))) % 53.50/53.74 (assume @p3390 (forall @t4105 (=> @t4588 (tptp.hBOOL (tptp.hAPP @t3052 @t48))))) % 53.50/53.74 (assume @p3391 (forall @t4556 (=> @t4588 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3060 @t2671) @t2067)) (tptp.c_Wellfounded_OwfP @t8 @t2671))))) % 53.50/53.74 (assume @p3392 (forall @t3927 (=> @t4546 (tptp.c_Wellfounded_OwfP @t8 (tptp.c_FunDef_Oin__rel @t8 @t8 @t2733))))) % 53.50/53.74 (assume @p3393 (forall @t2068 (= (tptp.c_Wellfounded_OwfP @t8 @t4104) @t4549))) % 53.50/53.74 (assume @p3394 (forall @t2068 (=> @t4588 @t4589))) % 53.50/53.74 (assume @p3395 (forall @t3898 (=> @t1228 (=> (tptp.hBOOL (tptp.hAPP @t346 @t3862)) (exists @t7 (and @t183 (not (tptp.hBOOL (tptp.hAPP @t334 (tptp.hAPP @t4359 (tptp.hAPP @t4198 (tptp.hAPP @t4195 @t5)))))))))))) % 53.50/53.74 (assume @p3396 (forall @t4037 (= @t4342 (and (forall @t7 (=> @t4591 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3896 (tptp.hAPP @t4421 @t2834)) @t3)))) @t4341)))) % 53.50/53.74 (assume @p3397 (forall (@list @t178 @t8 @t3) (=> @t4592 @t180))) % 53.50/53.74 (assume @p3398 (forall @t2068 (=> @t4549 @t4593))) % 53.50/53.74 (assume @p3399 (forall @t116 (= (tptp.hBOOL (tptp.hAPP @t1124 @t88)) (forall @t7 (=> @t182 @t4594))))) % 53.50/53.74 (assume @p3400 (forall @t4595 (=> (tptp.c_Wellfounded_Oacyclic @t8 @t3148) (=> @t3829 @t4593)))) % 53.50/53.74 (assume @p3401 (forall @t96 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t8)))) % 53.50/53.74 (assume @p3402 (forall (@list @t178 @t25 @t49 @t8) (= (tptp.hAPP @t4359 (tptp.hAPP @t4598 (tptp.hAPP @t4597 @t178))) (tptp.hAPP @t3349 (tptp.hAPP @t4407 (tptp.hAPP @t4194 @t178)))))) % 53.50/53.74 (assume @p3403 (forall (@list @t2 @t2067 @t49 @t8) (= @t4090 (forall @t7 (=> @t4591 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3896 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t143 @t29) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 @t4448 @t8) @t4383) @t4193)) @t2)) @t3))))))) % 53.50/53.74 (assume @p3404 (forall @t3379 (= @t3350 (tptp.hAPP @t4359 (tptp.hAPP @t4598 (tptp.hAPP @t4597 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3397 @t80) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1048 @t4599 @t8) @t4449) @t75)) @t88))))))) % 53.50/53.74 (assume @p3405 (forall @t2068 (=> @t3835 (=> @t4593 @t4549)))) % 53.50/53.74 (assume @p3406 (forall @t2068 (=> @t3835 (= @t4549 @t4593)))) % 53.50/53.74 (assume @p3407 (forall @t135 (=> @t814 (= @t813 (tptp.c_Complete__Lattice_OInf__class_OInf @t8 (tptp.hAPP @t4359 (tptp.hAPP @t4601 (tptp.hAPP @t4600 @t3051)))))))) % 53.50/53.74 (assume @p3408 (forall @t135 (=> @t814 (= @t2670 (tptp.c_Complete__Lattice_OSup__class_OSup @t8 (tptp.hAPP @t4359 (tptp.hAPP @t4601 (tptp.hAPP @t4600 @t160)))))))) % 53.50/53.74 (assume @p3409 (forall @t2068 (= (tptp.c_Nitpick_Owf_H @t8 @t2067) (and @t4593 (or @t3835 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 53.50/53.74 (assume @p3410 (forall @t4604 (=> (forall @t1089 (=> @t4603 (tptp.hBOOL (tptp.hAPP @t178 @t4602)))) @t310))) % 53.50/53.74 (assume @p3411 (forall @t1929 (not (forall @t1089 (=> (= @t48 @t4602) (not @t4603)))))) % 53.50/53.74 (assume @p3412 (forall @t135 (= @t2678 (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4607 (tptp.c_HOL_OAll @t29)) (tptp.hAPP (tptp.hAPP @t4606 (tptp.hAPP @t4444 (tptp.hAPP (tptp.hAPP @t4440 tptp.c_fimplies) @t4605))) @t75)))))) % 53.50/53.74 (assume @p3413 (forall @t1152 (=> @t335 (=> @t4307 @t3677)))) % 53.50/53.74 (assume @p3414 (forall (@list @t676 @t1789) (=> (forall @t7 (=> @t3207 (tptp.hBOOL (tptp.hAPP @t681 @t3)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3839 @t676) @t1789)))) % 53.50/53.74 (assume @p3415 (forall (@list @t8 @t2067 @t49) (=> (forall @t1419 (tptp.c_Wellfounded_OwfP @t49 @t4609)) (=> (forall @t2307 (=> (not (= @t4609 @t4608)) (= (tptp.hAPP (tptp.hAPP @t628 (tptp.c_Predicate_ODomainP @t49 @t49 @t4609)) (tptp.c_Predicate_ORangeP @t49 @t49 @t4608)) @t81))) (tptp.c_Wellfounded_OwfP @t49 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 (tptp.tc_fun @t49 @t80)) @t2651) @t2067)))))) % 53.50/53.74 (assume @p3416 (forall (@list @t2671 @t32 @t1685 @t49 @t79 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3099 (tptp.hAPP @t3098 @t2671))) (not (forall @t435 (=> (= @t2671 (tptp.hAPP (tptp.hAPP @t3069 @t3) @t429)) (not (tptp.hBOOL (tptp.hAPP @t3099 (tptp.hAPP (tptp.hAPP @t32 @t3) @t429)))))))))) % 53.50/53.74 (assume @p3417 (forall (@list @t32 @t79 @t1685 @t49 @t8 @t2671) (=> (forall @t3066 (=> (= @t2671 @t3065) (tptp.hBOOL (tptp.hAPP @t4610 (tptp.hAPP (tptp.hAPP @t32 @t440) @t1391))))) (tptp.hBOOL (tptp.hAPP @t4610 (tptp.hAPP (tptp.hAPP @t3101 @t32) @t2671)))))) % 53.50/53.74 (assume @p3418 (forall (@list @t88 @t25 @t2 @t1685 @t49 @t8) (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t3081 @t2) @t4267) (tptp.hAPP (tptp.hAPP @t486 (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t49 (tptp.hAPP (tptp.c_Fun_Ocomp @t3081 @t49 @t8 @t3158) @t2)) @t25)) (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t1685 (tptp.hAPP (tptp.c_Fun_Ocomp @t3081 @t1685 @t8 @t3133) @t2)) @t88))))) % 53.50/53.74 (assume @p3419 (forall @t1227 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t49 @t8 @t2) @t4485) @t2))) % 53.50/53.74 (assume @p3420 (forall (@list @t1 @t8 @t49) (= (tptp.hAPP @t4611 @t1) @t1))) % 53.50/53.74 (assume @p3421 (forall @t4615 (=> (= @t4614 (tptp.hAPP @t4611 @t32)) @t4613))) % 53.50/53.74 (assume @p3422 (forall (@list @t35 @t32 @t3082 @t33 @t13 @t8 @t49 @t1685) (=> @t4617 (forall (@list @t4616) (= (tptp.hAPP @t13 (tptp.hAPP @t33 @t4616)) (tptp.hAPP @t32 (tptp.hAPP @t35 @t4616))))))) % 53.50/53.74 (assume @p3423 (forall (@list @t1088 @t35 @t32 @t3082 @t33 @t13 @t8 @t49 @t1685) (=> @t4617 (= @t4612 (tptp.hAPP @t32 (tptp.hAPP @t35 @t1088)))))) % 53.50/53.74 (assume @p3424 (forall (@list @t48 @t1 @t2 @t1685 @t8 @t49) (= @t4619 @t341))) % 53.50/53.74 (assume @p3425 (forall (@list @t1153 @t1 @t3082 @t2 @t8 @t49 @t1685) (= (tptp.hAPP @t4621 (tptp.hAPP (tptp.c_Fun_Ocomp @t3082 @t1685 @t8 @t1) @t1153)) (tptp.hAPP (tptp.c_Fun_Ocomp @t3082 @t49 @t8 @t4620) @t1153)))) % 53.50/53.74 (assume @p3426 (forall (@list @t48 @t2 @t32 @t1685 @t8 @t49) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t8 @t1685 @t4224) @t2) @t48) @t32))) % 53.50/53.74 (assume @p3427 (forall @t3955 (=> @t233 @t4623))) % 53.50/53.74 (assume @p3428 (forall (@list @t3080 @t3082 @t1685 @t8 @t49 @t4624 @t4625 @t4626 @t48 @t1 @t2) (=> (= @t341 (tptp.hAPP @t4626 (tptp.hAPP @t4625 @t4624))) (= @t4619 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t3082 @t8 @t3080 @t4626) @t4625) @t4624))))) % 53.50/53.74 (assume @p3429 (forall @t3963 (=> @t633 (= @t4628 @t4627)))) % 53.50/53.74 (assume @p3430 (forall @t4615 (=> (= @t4614 @t32) @t4613))) % 53.50/53.74 (assume @p3431 (forall @t3319 (= (tptp.hAPP @t3077 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3082 @t1685 @t8 @t1) @t48)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3082 @t49 @t8 @t4620) @t48)))) % 53.50/53.74 (assume @p3432 (forall @t3316 (= (tptp.hAPP @t3315 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3082 @t1685 @t49 @t1) @t48)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3082 @t8 @t49 (tptp.hAPP (tptp.c_Fun_Ocomp @t1685 @t8 @t3082 @t2) @t1)) @t48)))) % 53.50/53.74 (assume @p3433 (forall (@list @t57 @t48 @t1 @t2 @t8 @t49 @t1685) (= (tptp.hAPP @t4621 (tptp.c_Fun_Ofun__upd @t8 @t1685 @t1 @t48 @t57)) (tptp.c_Fun_Ofun__upd @t8 @t49 @t4629 @t48 @t643)))) % 53.50/53.74 (assume @p3434 (forall (@list @t48 @t2 @t1 @t1685 @t49 @t8) (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t49 @t4630) @t48) (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t1685 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t1685 @t49 @t1) @t48))))) % 53.50/53.74 (assume @p3435 (forall (@list @t972 @t1153 @t1 @t2 @t49 @t8 @t3082 @t1685 @t4631 @t3080) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4632 @t4295 @t2660 (tptp.c_Product__Type_Omap__pair @t3080 @t1685 @t4631 @t3082 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t8 @t3080 @t49 @t4631 @t1153 @t972)) (tptp.c_Product__Type_Omap__pair @t8 @t1685 @t49 @t3082 (tptp.hAPP (tptp.c_Fun_Ocomp @t3080 @t1685 @t8 @t2) @t1153) (tptp.hAPP (tptp.c_Fun_Ocomp @t4631 @t3082 @t49 @t1) @t972))))) % 53.50/53.74 (assume @p3436 (forall (@list @t4633 @t4634 @t4631 @t2638 @t1683 @t3080 @t3082 @t49 @t1685 @t8) (= (tptp.c_Product__Type_Omap__pair @t8 @t1685 @t49 @t3082 (tptp.hAPP (tptp.c_Fun_Ocomp @t3080 @t1685 @t8 @t1683) @t2638) (tptp.hAPP (tptp.c_Fun_Ocomp @t4631 @t3082 @t49 @t4634) @t4633)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4632 @t4295 @t2660 (tptp.c_Product__Type_Omap__pair @t3080 @t1685 @t4631 @t3082 @t1683 @t4634)) (tptp.c_Product__Type_Omap__pair @t8 @t3080 @t49 @t4631 @t2638 @t4633))))) % 53.50/53.74 (assume @p3437 (forall (@list @t4635 @t972 @t1153 @t4631 @t3080 @t1 @t2 @t49 @t3082 @t8 @t1685) (= (tptp.hAPP @t4335 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t3080 @t1685 @t4631 @t3082 @t1153 @t972) @t4635)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t3080 @t8 @t4631 @t49 (tptp.hAPP (tptp.c_Fun_Ocomp @t1685 @t8 @t3080 @t2) @t1153) (tptp.hAPP (tptp.c_Fun_Ocomp @t3082 @t49 @t4631 @t1) @t972)) @t4635)))) % 53.50/53.74 (assume @p3438 (forall (@list @t2067 @t1 @t2 @t1685 @t8 @t49) (= (tptp.hAPP (tptp.c_Set_Oimage @t49 @t8 (tptp.hAPP (tptp.c_Fun_Ocomp @t1685 @t8 @t49 @t2) @t1)) @t2067) (tptp.hAPP @t3870 (tptp.hAPP @t3869 @t2067))))) % 53.50/53.74 (assume @p3439 (forall (@list @t1 @t1685 @t2 @t8 @t49) (=> @t3904 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t1685 @t1) @t2651) @t4325) (= (tptp.hAPP (tptp.c_Set_Oimage @t49 @t1685 (tptp.hAPP @t4636 @t2)) @t2653) @t4325))))) % 53.50/53.74 (assume @p3440 (forall @t2759 (=> @t4114 (=> (tptp.c_Fun_Oinj__on @t1685 @t8 @t1 @t4325) (tptp.c_Fun_Oinj__on @t1685 @t49 @t4637 @t4325))))) % 53.50/53.74 (assume @p3441 (forall (@list @t25 @t2 @t4626 @t1685 @t49 @t8) (=> (tptp.c_Fun_Oinj__on @t8 @t49 (tptp.hAPP (tptp.c_Fun_Ocomp @t1685 @t49 @t8 @t4626) @t2) @t25) (tptp.c_Fun_Oinj__on @t8 @t1685 @t2 @t25)))) % 53.50/53.74 (assume @p3442 (forall (@list @t25 @t2 @t1 @t1685 @t49 @t8) (=> (tptp.c_Fun_Oinj__on @t8 @t49 @t4630 @t25) (tptp.c_Fun_Oinj__on @t1685 @t49 @t1 (tptp.hAPP @t4416 @t25))))) % 53.50/53.74 (assume @p3443 (forall (@list @t1 @t1685 @t25 @t2 @t49 @t8) (=> @t4106 (=> (tptp.c_Fun_Oinj__on @t49 @t1685 @t1 @t3862) (tptp.c_Fun_Oinj__on @t8 @t1685 @t4639 @t25))))) % 53.50/53.74 (assume @p3444 (forall (@list @t4626 @t1685 @t25 @t2 @t49 @t8) (=> @t4106 (= (tptp.c_Fun_Oinj__on @t49 @t1685 @t4626 @t3862) (tptp.c_Fun_Oinj__on @t8 @t1685 @t4640 @t25))))) % 53.50/53.74 (assume @p3445 (forall @t4644 (=> @t4315 (=> @t4107 (= (tptp.hAPP @t4643 @t3861) (tptp.hAPP @t4642 @t88)))))) % 53.50/53.74 (assume @p3446 (forall @t4648 (=> @t4305 (=> @t4106 (=> @t4647 (=> (= @t1 @t4641) @t4646)))))) % 53.50/53.74 (assume @p3447 (forall @t4644 (=> @t4305 (=> @t4107 (= (tptp.hAPP @t4645 @t3861) (tptp.hAPP (tptp.hAPP @t4310 @t4641) @t88)))))) % 53.50/53.74 (assume @p3448 (forall @t4652 (=> @t1101 (=> @t335 (=> @t4651 (= (tptp.hAPP @t1102 @t4650) (tptp.hAPP (tptp.hAPP @t1090 @t4649) @t25))))))) % 53.50/53.74 (assume @p3449 (forall @t4652 (=> @t811 (=> @t335 (=> @t4651 (= (tptp.hAPP @t1128 @t4650) (tptp.hAPP (tptp.hAPP @t1127 @t4649) @t25))))))) % 53.50/53.74 (assume @p3450 (forall @t4657 (=> @t4656 (=> @t4655 (=> @t4654 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t1685 @t49 @t25 @t4637) @t48) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t1685 @t49 (tptp.c_Fun_Othe__inv__into @t1685 @t8 @t25 @t1)) (tptp.c_Fun_Othe__inv__into @t8 @t49 @t4653 @t2)) @t48))))))) % 53.50/53.74 (assume @p3451 (forall (@list @t79 @t1 @t1153 @t49 @t25 @t8 @t1685) (=> (tptp.class_Groups_Oab__semigroup__mult @t1685) (=> @t335 (=> (tptp.c_Fun_Oinj__on @t8 @t49 @t1153 @t25) (= (tptp.hAPP (tptp.hAPP @t4658 @t79) (tptp.hAPP @t3845 @t25)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4304 (tptp.hAPP @t4638 @t1153)) @t79) @t25))))))) % 53.50/53.74 (assume @p3452 (forall @t4661 (=> @t4660 (=> @t335 (=> @t149 (= @t331 @t4659)))))) % 53.50/53.74 (assume @p3453 (forall (@list @t1 @t1153 @t25 @t64 @t79 @t2 @t49 @t8) (=> @t4662 (=> @t347 (=> (tptp.c_Fun_Oinj__on @t49 @t49 @t1153 @t25) (= (tptp.hAPP @t1070 (tptp.hAPP (tptp.c_Set_Oimage @t49 @t49 @t1153) @t25)) (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t8 @t49 @t1) @t1153)) @t25))))))) % 53.50/53.74 (assume @p3454 (forall @t4666 (=> @t4660 (=> @t335 (=> @t413 (=> @t489 @t4665)))))) % 53.50/53.74 (assume @p3455 (forall (@list @t1 @t48 @t57 @t1685 @t64 @t2 @t49 @t8) (=> @t4660 (= (tptp.hAPP @t4667 @t4669) (tptp.hAPP @t4668 (tptp.hAPP @t4667 @t1)))))) % 53.50/53.74 (assume @p3456 (forall (@list @t48 @t57 @t64 @t2 @t49 @t8) (=> @t4660 (= @t4627 @t4628)))) % 53.50/53.74 (assume @p3457 (forall (@list @t1153 @t1 @t4631 @t2 @t1685 @t3082 @t3080 @t64 @t1550 @t49 @t8) (=> (tptp.c_Finite__Set_Ofolding @t8 @t49 @t1550 @t64) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t3080 @t3082 @t1685 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t4631 @t3080 @t1685 @t1) @t1153)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4631 @t3082 @t1685 (tptp.hAPP (tptp.c_Fun_Ocomp @t3080 @t3082 @t4631 @t2) @t1)) @t1153))))) % 53.50/53.74 (assume @p3458 (forall (@list @t2 @t1 @t1685 @t25 @t8 @t49) (= (tptp.hAPP @t3672 (tptp.hAPP (tptp.c_Fun_Ocomp @t1685 @t29 @t49 @t1) @t2)) (tptp.hAPP @t3848 @t1)))) % 53.50/53.74 (assume @p3459 (forall (@list @t1 @t2 @t49 @t8 @t3082 @t1685) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4295 @t1685 @t2660 @t3313) @t4330) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t1685 @t2660 @t2) @t3149)))) % 53.50/53.74 (assume @p3460 (forall (@list @t1 @t2 @t49 @t8 @t1685 @t3082) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4670 @t1685 @t2660 @t3317) (tptp.c_Product__Type_Omap__pair @t8 @t3082 @t49 @t1685 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t1685 @t2660 @t1) @t3147)))) % 53.50/53.74 (assume @p3461 (forall @t4672 (=> @t4662 (=> @t347 (= (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP (tptp.hAPP @t2727 @t2724) @t1153)) @t25) (tptp.hAPP (tptp.hAPP @t2 @t1071) @t4671)))))) % 53.50/53.74 (assume @p3462 (forall (@list @t48 @t1 @t2 @t3082 @t8 @t1685 @t49) (= (tptp.hAPP (tptp.hAPP @t3071 (tptp.hAPP (tptp.c_Fun_Ocomp @t3082 @t2751 @t49 @t2) @t1)) @t48) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t3158 @t48))) @t3134)))) % 53.50/53.74 (assume @p3463 (forall @t4661 (=> @t4660 (=> @t335 (= (tptp.hAPP @t4622 @t331) @t4673))))) % 53.50/53.74 (assume @p3464 (forall (@list @t1 @t48 @t1685 @t25 @t64 @t2 @t49 @t8) (=> @t4660 (=> @t335 (= (tptp.hAPP @t4668 @t4675) (tptp.hAPP @t4674 @t4669)))))) % 53.50/53.74 (assume @p3465 (forall @t4666 (=> @t4660 (=> @t335 (=> @t413 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t49 @t49 @t446) @t331) @t4664)))))) % 53.50/53.74 (assume @p3466 (forall (@list @t1 @t1685 @t88 @t25 @t64 @t2 @t49 @t8) (=> @t4660 (=> @t335 (=> @t413 (= (tptp.hAPP @t4676 @t4675) (tptp.hAPP @t4674 (tptp.hAPP @t4676 @t1)))))))) % 53.50/53.74 (assume @p3467 (forall (@list @t64 @t2 @t49 @t8) (=> @t4660 (= (tptp.hAPP @t64 @t30) @t4490)))) % 53.50/53.74 (assume @p3468 (forall (@list @t3148 @t25 @t64 @t2 @t49 @t8) (=> @t4660 (=> @t335 (= (tptp.hAPP @t331 @t3148) (tptp.hAPP (tptp.hAPP @t618 @t3148) @t25)))))) % 53.50/53.74 (assume @p3469 (forall @t1075 (=> @t4662 @t1073))) % 53.50/53.74 (assume @p3470 (forall @t4661 (=> @t4660 (=> @t335 (=> @t241 @t4677))))) % 53.50/53.74 (assume @p3471 (forall @t4666 (=> @t4660 (=> @t335 (=> @t413 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t49 @t49 @t448) @t631) @t4664)))))) % 53.50/53.74 (assume @p3472 (forall @t4661 (=> @t4660 (=> @t335 (= @t356 @t4659))))) % 53.50/53.74 (assume @p3473 (forall (@list @t49 @t1153 @t2 @t1067 @t8 @t1685) (=> @t4315 (=> @t1084 (=> (forall @t7 (=> @t1068 (forall @t1089 (=> (tptp.hBOOL (tptp.hAPP @t1990 @t1067)) (=> (not @t4679) (=> @t4094 (= (tptp.hAPP @t1153 @t5) (tptp.c_Groups_Ozero__class_Ozero @t1685)))))))) (= (tptp.hAPP @t4643 @t4678) (tptp.hAPP @t4642 @t1067))))))) % 53.50/53.74 (assume @p3474 (forall @t4666 (=> @t4680 (=> @t335 (=> @t413 @t4665))))) % 53.50/53.74 (assume @p3475 (forall @t4666 (=> @t4680 (=> @t335 (=> @t114 (= @t4664 @t331)))))) % 53.50/53.74 (assume @p3476 (forall (@list @t1 @t48 @t1685 @t64 @t2 @t49 @t8) (=> @t4680 (= (tptp.hAPP @t4668 @t4669) @t4669)))) % 53.50/53.74 (assume @p3477 (forall (@list @t48 @t64 @t2 @t49 @t8) (=> @t4680 @t4623))) % 53.50/53.74 (assume @p3478 (forall @t4661 (=> @t4680 (=> @t335 (=> @t149 (= @t4673 @t331)))))) % 53.50/53.74 (assume @p3479 (forall @t4661 (=> @t4680 (=> @t335 @t4677)))) % 53.50/53.74 (assume @p3480 (forall @t4648 (=> @t4305 (=> @t4106 (=> @t4647 (=> (forall @t7 (=> @t183 (= @t4 (tptp.hAPP @t4641 @t3)))) @t4646)))))) % 53.50/53.74 (assume @p3481 (forall @t4191 (= (tptp.c_Hilbert__Choice_OEps @t2660 @t4202) (tptp.c_Hilbert__Choice_OEps @t2660 @t4201)))) % 53.50/53.74 (assume @p3482 (forall @t3927 (=> (forall @t4183 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t442) (tptp.hAPP @t4570 @t442))) (= @t442 @t30))) @t4546))) % 53.50/53.74 (assume @p3483 (forall (@list @t8 @t4681) (=> (exists @t7 (tptp.hBOOL (tptp.hAPP @t4681 @t3))) (tptp.hBOOL (tptp.hAPP @t4681 (tptp.c_Hilbert__Choice_OEps @t8 @t4681)))))) % 53.50/53.74 (assume @p3484 (forall (@list @t8 @t48 @t178) (=> @t310 @t4683))) % 53.50/53.74 (assume @p3485 (forall @t54 (= (tptp.c_Hilbert__Choice_OEps @t8 @t4185) @t48))) % 53.50/53.74 (assume @p3486 (forall @t54 (= (tptp.c_Hilbert__Choice_OEps @t8 @t4684) @t48))) % 53.50/53.74 (assume @p3487 (forall @t4685 (= @t4683 @t2442))) % 53.50/53.74 (assume @p3488 (forall @t4685 (=> @t2442 @t4683))) % 53.50/53.74 (assume @p3489 (forall (@list @t8 @t32 @t178) (=> @t2442 (=> (= @t32 @t4682) (tptp.hBOOL (tptp.hAPP @t178 @t32)))))) % 53.50/53.74 (assume @p3490 (forall @t4191 (= (tptp.c_Hilbert__Choice_OEps @t2660 @t178) (tptp.c_Hilbert__Choice_OEps @t2660 @t4190)))) % 53.50/53.74 (assume @p3491 (forall @t2746 (= (tptp.c_Hilbert__Choice_OEps @t2660 @t4188) @t2741))) % 53.50/53.74 (assume @p3492 (forall (@list @t227 @t88 @t49 @t171 @t25 @t8) (=> @t210 (=> (forall @t7 (=> @t183 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 @t3376) (tptp.hAPP @t227 @t3))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2789 @t4240) (tptp.hAPP (tptp.hAPP @t4235 @t171) @t227))))))) % 53.50/53.74 (assume @p3493 (forall @t4688 (=> (not (tptp.hBOOL (tptp.hAPP @t148 @t4686))) (not (forall @t1530 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t4687 @t48)) @t2733)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t1529) @t4686)))))))) % 53.50/53.74 (assume @p3494 (forall @t4040 (=> (forall @t1089 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t4689 @t48)) @t2067)) (tptp.hBOOL (tptp.hAPP @t1990 @t4102)))) @t4103))) % 53.50/53.74 (assume @p3495 (forall (@list @t2733 @t405 @t406 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3238 (tptp.hAPP (tptp.hAPP @t3236 @t406) @t405)) @t3584)) (and @t4173 @t4172 @t4171 (forall @t7 (=> @t4170 (exists @t571 (and @t4169 @t4175)))))))) % 53.50/53.74 (assume @p3496 (forall @t1532 (=> @t374 (=> @t335 (=> @t1065 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 (tptp.hAPP (tptp.hAPP @t3280 @t32) @t25)) (tptp.hAPP (tptp.hAPP @t3251 @t33) @t32)))))))) % 53.50/53.74 (assume @p3497 (forall @t73 (=> @t374 (=> @t335 (=> (forall @t1089 (=> @t1991 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t429) @t48)))) (=> @t149 @t3286)))))) % 53.50/53.74 (assume @p3498 (forall (@list @t2 @t2067 @t8) (=> @t4549 (not (forall @t941 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2960 (tptp.hAPP @t2 (tptp.hAPP tptp.c_Nat_OSuc @t939))) (tptp.hAPP @t2 @t939))) @t2067))))))) % 53.50/53.74 (assume @p3499 (forall @t4694 (and (=> @t4692 (= @t4691 @t3163)) (=> @t4693 (= @t4691 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t49 @t8 @t4005) @t94) (tptp.c_Random_Oiterate @t49 @t8 @t4690 @t2))))))) % 53.50/53.74 (assume @p3500 (forall @t4648 (=> @t4315 (=> @t4106 (=> @t4647 (=> (forall @t4306 (=> @t457 (= (tptp.hAPP @t1 @t440) (tptp.hAPP @t1153 (tptp.hAPP @t2 @t440))))) (= (tptp.hAPP @t4643 @t88) (tptp.hAPP (tptp.hAPP @t4314 @t1) @t25)))))))) % 53.50/53.74 (assume @p3501 (forall (@list @t1153 @t1 @t2 @t4631 @t3080 @t49 @t3082 @t1685 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t1685 @t3082 @t49) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t3080 @t4631 @t4295) @t2) @t1)) @t1153) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t3080 @t4631 @t49) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3080 @t4697 @t4695) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t4631 @t4295) (tptp.tc_fun @t4697 @t4695) @t3080) (tptp.c_Product__Type_Oscomp @t4631 @t1685 @t3082 @t49)) @t1)) @t1153))))) % 53.50/53.74 (assume @p3502 (forall (@list @t48 @t1685 @t49 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t49 @t1685 @t3081) @t48) @t3069) @t48))) % 53.50/53.74 (assume @p3503 (forall (@list @t2 @t48 @t49 @t1685 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t1685 @t8 @t49) (tptp.hAPP (tptp.c_Product__Type_OPair @t1685 @t8) @t48)) @t2) @t94))) % 53.50/53.74 (assume @p3504 (forall @t4699 (= @t4698 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1685 @t3082 @t8) @t1) @t94)))) % 53.50/53.74 (assume @p3505 (forall @t4699 (= @t4698 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t3313 @t94)) (tptp.hAPP @t3311 @t94))))) % 53.50/53.74 (assume @p3506 (forall (@list @t1 @t2 @t35 @t33 @t32 @t13 @t8 @t49) (=> (and @t1101 @t1576) (=> @t37 (=> @t36 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t322 @t3)) (=> (tptp.hBOOL (tptp.hAPP @t1676 @t35)) @t6))) (= (tptp.hAPP @t1091 @t3761) (tptp.hAPP @t1102 @t3760)))))))) % 53.50/53.74 (assume @p3507 (forall @t701 (= (tptp.hBOOL (tptp.hAPP @t4701 @t4700)) @t675))) % 53.50/53.74 (assume @p3508 (forall @t2068 (= @t4549 (forall (@list @t4702) (=> (exists @t7 @t4705) (exists @t7 (and @t4705 (forall @t1089 (=> @t4704 (not (tptp.hBOOL (tptp.hAPP @t1990 @t4702)))))))))))) % 53.50/53.74 (assume @p3509 (forall @t2068 (=> @t4549 @t4707))) % 53.50/53.74 (assume @p3510 (= tptp.c_Wellfounded_Oless__than @t4700)) % 53.50/53.74 (assume @p3511 (forall @t2068 (= @t4593 @t4708))) % 53.50/53.74 (assume @p3512 (forall @t3822 (=> @t4041 @t4709))) % 53.50/53.74 (assume @p3513 (forall @t2068 (tptp.hBOOL (tptp.hAPP @t4710 (tptp.hAPP (tptp.hAPP @t4276 @t3819) (tptp.hAPP @t4275 @t3819)))))) % 53.50/53.74 (assume @p3514 (forall @t3830 (=> @t3829 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 (tptp.hAPP (tptp.hAPP @t4521 (tptp.hAPP (tptp.hAPP @t4402 @t4706) @t3148)) @t2067)) @t3148)) (tptp.hBOOL (tptp.hAPP @t4710 @t3148)))))) % 53.50/53.74 (assume @p3515 (forall @t4714 (=> @t4713 @t4712))) % 53.50/53.74 (assume @p3516 (forall @t96 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t2947) @t2947))) % 53.50/53.74 (assume @p3517 (forall @t2068 (= (tptp.hAPP @t4558 @t4706) @t4561))) % 53.50/53.74 (assume @p3518 (forall @t2068 (= (tptp.hAPP @t4520 @t4706) @t4577))) % 53.50/53.74 (assume @p3519 (forall @t2068 (= (tptp.hBOOL (tptp.hAPP @t3834 @t4706)) @t3835))) % 53.50/53.74 (assume @p3520 (forall @t4720 (=> @t4709 @t4719))) % 53.50/53.74 (assume @p3521 (forall @t4720 (=> @t4709 @t4722))) % 53.50/53.74 (assume @p3522 (forall @t4720 (=> @t4041 @t4719))) % 53.50/53.74 (assume @p3523 (forall (@list @t32 @t2733 @t33 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3899 @t2733)) (=> (tptp.hBOOL (tptp.hAPP @t4718 @t2733)) (tptp.hBOOL (tptp.hAPP @t4715 @t4723)))))) % 53.50/53.74 (assume @p3524 (forall (@list @t3148 @t2067 @t2671 @t8) (=> @t4712 (=> @t3829 (tptp.hBOOL (tptp.hAPP @t4711 (tptp.c_Transitive__Closure_Otrancl @t8 @t3148))))))) % 53.50/53.74 (assume @p3525 (forall @t2068 (= @t4706 (tptp.hAPP @t3832 (tptp.hAPP (tptp.hAPP @t4521 @t4706) @t2067))))) % 53.50/53.74 (assume @p3526 (forall @t4418 (=> @t4278 (tptp.hBOOL (tptp.hAPP @t4710 @t4277))))) % 53.50/53.74 (assume @p3527 (forall @t4728 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t4727) (tptp.hAPP @t4725 (tptp.hAPP @t4460 (tptp.hAPP @t3896 (tptp.hAPP (tptp.hAPP @t2841 (tptp.hAPP @t4420 (tptp.hAPP @t3893 (tptp.hAPP (tptp.hAPP @t3590 (tptp.hAPP @t3587 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t8 @t2944) @t2960) @t57))) @t4724)))) (tptp.hAPP (tptp.hAPP @t3590 (tptp.hAPP @t3587 @t3143)) @t4724)))))))) % 53.50/53.74 (assume @p3528 (forall @t4731 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3059) @t4104) tptp.c_fequal) @t48) @t57)) (tptp.hBOOL (tptp.hAPP @t3144 @t4730))))) % 53.50/53.74 (assume @p3529 (forall @t2068 (=> @t4708 @t4593))) % 53.50/53.74 (assume @p3530 (forall @t4714 (=> @t4713 (tptp.hBOOL (tptp.hAPP @t4711 @t4724))))) % 53.50/53.74 (assume @p3531 (forall @t4149 (tptp.hBOOL (tptp.hAPP @t4414 @t4724)))) % 53.50/53.74 (assume @p3532 (forall @t14 (tptp.hBOOL (tptp.hAPP @t4414 @t4729)))) % 53.50/53.74 (assume @p3533 (forall @t3822 (=> @t4709 @t4732))) % 53.50/53.74 (assume @p3534 (forall @t2068 (= @t4706 @t4733))) % 53.50/53.74 (assume @p3535 (forall @t2068 (= @t4706 @t4735))) % 53.50/53.74 (assume @p3536 (forall @t2068 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t4730) @t4724))) % 53.50/53.74 (assume @p3537 (forall @t2068 (= (tptp.hAPP @t4725 @t4729) @t4724))) % 53.50/53.74 (assume @p3538 (forall @t3927 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t4723) @t4736))) % 53.50/53.74 (assume @p3539 (forall @t3927 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t4736) @t4736))) % 53.50/53.74 (assume @p3540 (forall @t3927 (= (tptp.hAPP @t4558 @t4736) @t2651))) % 53.50/53.74 (assume @p3541 (forall @t3927 (= (tptp.hAPP @t4520 @t4736) @t2651))) % 53.50/53.74 (assume @p3542 (forall @t2068 (tptp.c_Relation_Orefl__on @t8 @t2651 @t4724))) % 53.50/53.74 (assume @p3543 (forall @t4720 (=> @t4732 @t4739))) % 53.50/53.74 (assume @p3544 (forall @t4720 (=> @t4732 (=> @t4721 @t4737)))) % 53.50/53.74 (assume @p3545 (forall @t4720 (=> @t4041 @t4739))) % 53.50/53.74 (assume @p3546 (forall @t2068 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t4724) @t4724))) % 53.50/53.74 (assume @p3547 (forall @t2068 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t4740) @t4724))) % 53.50/53.74 (assume @p3548 (forall @t3927 (= (tptp.hAPP @t4741 @t4729) @t4736))) % 53.50/53.74 (assume @p3549 (forall @t2761 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t4744) @t4742))) % 53.50/53.74 (assume @p3550 (forall @t3927 (= (tptp.c_Transitive__Closure_Ortrancl @t8 (tptp.hAPP @t4562 @t4729)) @t4736))) % 53.50/53.74 (assume @p3551 (forall @t2761 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 @t4744) @t4742)))) % 53.50/53.74 (assume @p3552 (forall @t3830 (=> @t3829 @t4747))) % 53.50/53.74 (assume @p3553 (forall @t2761 (=> (tptp.hBOOL (tptp.hAPP @t4576 @t1067)) (=> (tptp.hBOOL (tptp.hAPP @t4575 @t4736)) (= @t4743 @t4736))))) % 53.50/53.74 (assume @p3554 (forall @t3830 (=> (tptp.hBOOL (tptp.hAPP @t3828 @t4745)) @t4747))) % 53.50/53.74 (assume @p3555 (forall (@list @t461 @t2067 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP @t4032 @t461)) @t461)) (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t4724) @t461) @t461)))) % 53.50/53.74 (assume @p3556 (forall (@list @t1067 @t2733 @t48 @t8) (=> (or (tptp.hBOOL (tptp.hAPP @t4748 @t4736)) (tptp.hBOOL (tptp.hAPP @t4748 @t4743))) (tptp.hBOOL (tptp.hAPP @t4748 @t4742))))) % 53.50/53.74 (assume @p3557 (forall @t2068 (= @t4735 @t4733))) % 53.50/53.74 (assume @p3558 (forall @t3927 (= (tptp.hAPP (tptp.hAPP @t4521 @t4736) @t4736) @t4736))) % 53.50/53.74 (assume @p3559 (forall @t4595 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 @t4729) @t3148)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 (tptp.hAPP (tptp.hAPP @t4521 (tptp.hAPP (tptp.hAPP @t4402 @t4724) @t3148)) @t2067)) @t3148)) (tptp.hBOOL (tptp.hAPP @t4746 @t3148)))))) % 53.50/53.74 (assume @p3560 (forall @t2068 (= @t4724 (tptp.hAPP (tptp.hAPP @t3831 @t4729) @t4733)))) % 53.50/53.74 (assume @p3561 (forall @t96 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t2947) @t4729))) % 53.50/53.74 (assume @p3562 (forall @t4569 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t8 @t49) @t4729) @t2733) @t2733))) % 53.50/53.74 (assume @p3563 (forall @t4569 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t49 @t49) @t2733) (tptp.c_Relation_OId @t49)) @t2733))) % 53.50/53.74 (assume @p3564 (forall @t135 (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t4729) @t25) @t25))) % 53.50/53.74 (assume @p3565 (forall @t46 (= (tptp.hBOOL (tptp.hAPP @t3899 @t4729)) @t44))) % 53.50/53.74 (assume @p3566 (forall @t4751 (=> @t4750 (=> (tptp.hBOOL (tptp.hAPP @t4089 @t4706)) (tptp.hBOOL (tptp.hAPP @t4749 @t4706)))))) % 53.50/53.74 (assume @p3567 (forall @t4720 (=> @t4709 @t4752))) % 53.50/53.74 (assume @p3568 (forall @t4720 (=> @t4732 @t4722))) % 53.50/53.74 (assume @p3569 (forall (@list @t2733 @t33 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3899 @t4736)) (or @t44 (and @t119 (tptp.hBOOL (tptp.hAPP @t3899 @t4723))))))) % 53.50/53.74 (assume @p3570 (forall @t4720 (=> @t4041 @t4752))) % 53.50/53.74 (assume @p3571 (forall @t4755 (= @t4754 (or @t165 (and @t373 @t4753))))) % 53.50/53.74 (assume @p3572 (forall @t96 (= (tptp.hAPP @t4558 @t4729) @t2651))) % 53.50/53.74 (assume @p3573 (forall @t96 (= (tptp.hAPP @t4520 @t4729) @t2651))) % 53.50/53.74 (assume @p3574 (forall @t96 (tptp.c_Relation_Orefl__on @t8 @t2651 @t4729))) % 53.50/53.74 (assume @p3575 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t3325 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t3113)))) % 53.50/53.74 (assume @p3576 (forall (@list @t57 @t2733 @t48 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t148 (tptp.hAPP @t4558 @t2733)))) (= @t4754 @t165)))) % 53.50/53.74 (assume @p3577 (forall (@list @t33 @t2067 @t13 @t8) (=> @t4148 (=> @t4757 @t4150)))) % 53.50/53.74 (assume @p3578 (forall (@list @t2067 @t13 @t33 @t8) (=> @t4757 (=> @t4148 @t4150)))) % 53.50/53.74 (assume @p3579 (forall @t4728 (= (tptp.c_Wellfounded_Owf @t8 @t4727) (and @t4549 @t4758)))) % 53.50/53.74 (assume @p3580 (forall @t4728 (= (tptp.c_Wellfounded_Oacyclic @t8 @t4727) (and @t4593 @t4758)))) % 53.50/53.74 (assume @p3581 (forall @t2068 (tptp.c_Relation_Orefl__on @t8 @t2651 @t4730))) % 53.50/53.74 (assume @p3582 (forall @t96 (= @t4729 (tptp.hAPP @t4460 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 tptp.tc_HOL_Obool @t2944) @t4433) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2944 @t3589 @t29) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2945 (tptp.tc_fun @t3589 @t29) @t2944) (tptp.c_COMBB @t2944 tptp.tc_HOL_Obool @t8)) tptp.c_fequal)) @t3837)))))) % 53.50/53.74 (assume @p3583 (forall @t2068 (tptp.c_Relation_Oirrefl @t8 @t4740))) % 53.50/53.74 (assume @p3584 (forall @t701 (= (tptp.hBOOL (tptp.hAPP @t4701 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t699))) % 53.50/53.74 (assume @p3585 (forall (@list @t25 @t2067 @t33 @t13 @t8) (=> @t4732 (=> @t4278 @t253)))) % 53.50/53.74 (assume @p3586 (forall @t4105 (=> (= (tptp.hAPP (tptp.hAPP @t4402 @t4761) @t4724) @t2947) (not (tptp.hBOOL (tptp.hAPP @t4759 @t4706)))))) % 53.50/53.74 (assume @p3587 (forall (@list @t676 @t972 @t2067 @t2 @t8) (=> @t4762 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2960 (tptp.hAPP @t2 @t974)) @t3243)) @t4724))))) % 53.50/53.74 (assume @p3588 (forall @t4037 (= (tptp.c_Relation_Ototal__on @t8 @t25 @t4740) @t4763))) % 53.50/53.74 (assume @p3589 (forall @t2068 (= @t4764 (tptp.hAPP @t4760 @t4724)))) % 53.50/53.74 (assume @p3590 (forall @t96 (= (tptp.hAPP @t4760 @t4729) @t4729))) % 53.50/53.74 (assume @p3591 (forall @t2068 (= (tptp.c_Wellfounded_Oacyclic @t8 @t4761) @t4593))) % 53.50/53.74 (assume @p3592 (forall @t4037 (= (tptp.c_Relation_Orefl__on @t8 @t25 @t4761) @t4342))) % 53.50/53.74 (assume @p3593 (forall (@list @t2 @t2733 @t49 @t8) (= (tptp.hAPP @t4760 (tptp.hAPP (tptp.hAPP @t3742 @t2733) @t2)) (tptp.hAPP (tptp.hAPP @t3742 (tptp.hAPP (tptp.c_Relation_Oconverse @t49 @t49) @t2733)) @t2)))) % 53.50/53.74 (assume @p3594 (forall @t2068 (= (tptp.hAPP @t3818 @t4761) @t3819))) % 53.50/53.74 (assume @p3595 (forall @t4530 (= (tptp.hBOOL (tptp.hAPP @t2663 @t4766)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t4005) @t2067))))) % 53.50/53.74 (assume @p3596 (forall @t4037 (= (tptp.c_Relation_Ototal__on @t8 @t25 @t4761) @t4763))) % 53.50/53.74 (assume @p3597 (forall @t4526 (= (tptp.hAPP @t4765 @t4767) @t2067))) % 53.50/53.74 (assume @p3598 (forall @t135 (= (tptp.hAPP @t4760 @t3838) @t3838))) % 53.50/53.74 (assume @p3599 (forall @t4769 (= (tptp.hAPP @t4765 (tptp.hAPP (tptp.hAPP @t4532 @t2067) @t3148)) (tptp.hAPP (tptp.hAPP @t2772 @t4766) @t4768)))) % 53.50/53.74 (assume @p3600 (forall @t4769 (= (tptp.hAPP @t4765 (tptp.hAPP (tptp.hAPP @t4007 @t2067) @t3148)) (tptp.hAPP (tptp.hAPP @t2769 @t4766) @t4768)))) % 53.50/53.74 (assume @p3601 (forall @t4770 (= (tptp.hAPP @t4765 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t49 @t1685 @t8) @t2067) @t3148)) (tptp.hAPP (tptp.hAPP @t4503 (tptp.hAPP (tptp.c_Relation_Oconverse @t1685 @t8) @t3148)) (tptp.hAPP (tptp.c_Relation_Oconverse @t49 @t1685) @t2067))))) % 53.50/53.74 (assume @p3602 (forall @t4772 (= (tptp.hAPP @t4765 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1685 @t4006) @t1067) @t2067)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1685 @t2661) @t1067) @t4771)))) % 53.50/53.74 (assume @p3603 (forall @t4512 (=> @t4775 @t4774))) % 53.50/53.74 (assume @p3604 (forall @t4512 (=> @t4018 (tptp.hBOOL (tptp.hAPP @t4773 @t4767))))) % 53.50/53.74 (assume @p3605 (forall @t4512 (= @t4775 @t4774))) % 53.50/53.74 (assume @p3606 (forall @t4772 (= (tptp.hAPP @t4765 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1685 @t4006) @t1067) @t2067)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1685 @t2661) @t1067) @t4771)))) % 53.50/53.74 (assume @p3607 (forall @t2068 (= @t4777 @t4776))) % 53.50/53.74 (assume @p3608 (forall @t2068 (=> @t4778 (tptp.c_Wellfounded_Owf @t8 @t4776)))) % 53.50/53.74 (assume @p3609 (forall @t4037 (=> @t4044 @t4780))) % 53.50/53.74 (assume @p3610 (forall @t4526 (= (tptp.hAPP @t4507 @t4767) @t4553))) % 53.50/53.74 (assume @p3611 (forall @t4530 (= @t4781 @t4525))) % 53.50/53.74 (assume @p3612 (forall @t4526 (= @t4525 @t4781))) % 53.50/53.74 (assume @p3613 (forall @t2068 (tptp.c_Relation_Ototal__on @t8 @t30 @t2067))) % 53.50/53.74 (assume @p3614 (forall @t4728 (=> @t4783 @t4782))) % 53.50/53.74 (assume @p3615 (forall @t4784 (=> @t4782 @t4783))) % 53.50/53.74 (assume @p3616 (forall @t4784 (=> @t4786 @t4785))) % 53.50/53.74 (assume @p3617 (forall @t4784 (=> @t4785 @t4786))) % 53.50/53.74 (assume @p3618 (forall (@list @t88 @t25 @t2067 @t49 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4015) @t88)) (tptp.hBOOL (tptp.hAPP @t4280 (tptp.hAPP @t3902 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t49 @t4766) @t2243))))))) % 53.50/53.74 (assume @p3619 (forall @t4037 (=> @t4342 (tptp.hBOOL (tptp.hAPP @t3828 @t4779))))) % 53.50/53.74 (assume @p3620 (forall @t4418 (=> @t4780 (=> (= @t4561 @t25) @t4044)))) % 53.50/53.74 (assume @p3621 (forall @t2068 (=> @t3835 (=> @t4593 @t4778)))) % 53.50/53.74 (assume @p3622 (forall @t4037 (= @t4763 (forall @t7 (=> @t183 (forall @t571 (=> @t1320 (=> @t569 (or (tptp.hBOOL (tptp.hAPP @t4174 @t2067)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2960 @t567) @t3)) @t2067))))))))))) % 53.50/53.74 (assume @p3623 (forall @t4526 (= @t4766 (tptp.hAPP @t4375 (tptp.hAPP @t3039 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4006 @t80) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4787 (tptp.tc_fun @t4006 @t80) @t8) (tptp.c_COMBC @t49 @t4006 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t49 @t4005) @t4787 @t8) (tptp.hAPP (tptp.c_COMBB @t4005 @t4417 @t49) @t4013)) @t4156))) @t2067)))))) % 53.50/53.74 (assume @p3624 (forall (@list @t88 @t1685 @t25 @t2067 @t49 @t8) (=> (tptp.c_Relation_Osingle__valued @t8 @t49 @t4766) (=> (not (= @t25 (tptp.c_Orderings_Obot__class_Obot @t2750))) (= @t4011 @t4008))))) % 53.50/53.74 (assume @p3625 (forall @t4791 (=> @t4790 (tptp.hBOOL (tptp.hAPP @t4711 @t4789))))) % 53.50/53.74 (assume @p3626 (forall @t96 (tptp.c_Relation_Osingle__valued @t8 @t8 @t4729))) % 53.50/53.74 (assume @p3627 (forall @t3927 (= (tptp.hAPP (tptp.hAPP @t4788 @t638) @t2733) @t2733))) % 53.50/53.74 (assume @p3628 (forall @t4793 (=> (tptp.c_Relation_Osingle__valued @t8 @t8 @t2733) (tptp.c_Relation_Osingle__valued @t8 @t8 @t4792)))) % 53.50/53.74 (assume @p3629 (forall @t4793 (= (tptp.hAPP @t4538 @t4792) @t4794))) % 53.50/53.74 (assume @p3630 (forall (@list @t2 @t672 @t49 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t143 @t143) @t672) (tptp.c_Fun_Ocomp @t49 @t49 @t8 @t2)) (tptp.c_Fun_Ocomp @t49 @t49 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t49 @t49) @t672) @t2))))) % 53.50/53.74 (assume @p3631 (forall (@list @t3148 @t1685 @t2067 @t49 @t8) (=> @t4795 (=> (tptp.c_Relation_Osingle__valued @t49 @t1685 @t3148) (tptp.c_Relation_Osingle__valued @t8 @t1685 @t4510))))) % 53.50/53.74 (assume @p3632 (forall @t4796 (=> (tptp.c_Wellfounded_Owf @t8 @t4792) @t4546))) % 53.50/53.74 (assume @p3633 (forall @t4566 (=> @t4565 (=> (tptp.c_Relation_Osingle__valued @t8 @t49 @t3148) @t4795)))) % 53.50/53.74 (assume @p3634 (forall (@list @t48 @t672 @t8 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t4799 @t48)) (tptp.hAPP @t4799 @t94)))) % 53.50/53.74 (assume @p3635 (forall @t3510 (= (tptp.hAPP @t4798 @t4800) (tptp.hAPP (tptp.hAPP @t4797 @t759) @t2)))) % 53.50/53.74 (assume @p3636 (forall (@list @t2733 @t672 @t2671 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4711 @t4792)) @t4790))) % 53.50/53.74 (assume @p3637 (forall @t4791 (= @t4790 (exists @t1878 @t4801)))) % 53.50/53.74 (assume @p3638 (forall @t135 (tptp.c_Relation_Osingle__valued @t8 @t8 @t3838))) % 53.50/53.74 (assume @p3639 (forall @t4796 (= @t4802 @t4794))) % 53.50/53.74 (assume @p3640 (forall (@list @t2733 @t672 @t673 @t8) (= (tptp.hAPP (tptp.hAPP @t4788 @t1211) @t2733) (tptp.hAPP (tptp.hAPP @t4521 (tptp.hAPP (tptp.hAPP @t4788 @t673) @t2733)) @t4792)))) % 53.50/53.74 (assume @p3641 (forall @t3927 (= @t4803 @t4729))) % 53.50/53.74 (assume @p3642 (forall @t4688 (tptp.hBOOL (tptp.hAPP @t4759 @t4803)))) % 53.50/53.74 (assume @p3643 (forall @t4755 (=> (tptp.hBOOL (tptp.hAPP @t3144 @t4803)) @t165))) % 53.50/53.74 (assume @p3644 (forall (@list @t672 @t79 @t2733 @t57 @t48 @t8) (=> @t3182 (=> (tptp.hBOOL (tptp.hAPP @t4089 @t4792)) @t4804)))) % 53.50/53.74 (assume @p3645 (forall (@list @t79 @t2733 @t672 @t57 @t48 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3144 @t4792)) (=> (tptp.hBOOL (tptp.hAPP @t4089 @t2733)) @t4804)))) % 53.50/53.74 (assume @p3646 (forall (@list @t2 @t672 @t8) (= (tptp.hAPP (tptp.hAPP @t4797 @t692) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t8 @t2) @t4799)))) % 53.50/53.74 (assume @p3647 (forall @t3336 (= (tptp.hAPP (tptp.hAPP @t4797 @t1211) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t8 @t4800) @t4799)))) % 53.50/53.74 (assume @p3648 (forall @t4530 (= @t4795 (forall @t435 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2742 @t4318) @t2067)) (forall @t1530 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2742 @t4805) @t2067)) (= @t429 @t1529)))))))) % 53.50/53.74 (assume @p3649 (forall (@list @t79 @t57 @t48 @t2067 @t49 @t8) (=> @t4795 (=> (tptp.hBOOL (tptp.hAPP @t2743 @t2067)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2742 (tptp.hAPP @t2740 @t79)) @t2067)) @t880))))) % 53.50/53.74 (assume @p3650 (forall @t4131 (= (tptp.hAPP (tptp.hAPP @t4797 @t1157) @t2) @t4485))) % 53.50/53.74 (assume @p3651 (forall @t4791 (= (tptp.hBOOL (tptp.hAPP @t4711 @t4723)) (exists @t1878 (and @t1986 @t4801))))) % 53.50/53.74 (assume @p3652 (forall @t3927 (= @t4736 @t4789))) % 53.50/53.74 (assume @p3653 (forall @t4806 (=> (tptp.c_Relation_Osingle__valued @t8 @t8 @t2067) (=> @t4750 (=> (tptp.hBOOL (tptp.hAPP @t4749 @t4724)) (or (tptp.hBOOL (tptp.hAPP @t4089 @t4724)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2960 @t79) @t57)) @t4724)))))))) % 53.50/53.74 (assume @p3654 (forall @t3999 (=> (tptp.c_Relation_Osingle__valued @t8 @t49 (tptp.hAPP @t4765 @t2733)) (= @t3998 @t3997)))) % 53.50/53.74 (assume @p3655 (forall @t96 (= (tptp.c_Nat_Ofunpow @t8) @t4797))) % 53.50/53.74 (assume @p3656 (forall @t4814 (=> @t4813 (=> @t4812 (not (forall @t4811 (=> @t1325 (=> (tptp.hBOOL (tptp.hAPP @t4810 @t4809)) @t4808)))))))) % 53.50/53.74 (assume @p3657 (forall @t4814 (=> @t4813 (=> @t4812 (not (forall @t4811 (=> @t1325 (=> @t4815 (not (tptp.hBOOL (tptp.hAPP @t4807 @t4809))))))))))) % 53.50/53.74 (assume @p3658 (forall @t4819 (=> @t4818 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t3232 @t3)) @t4816)) (forall @t1089 (=> (tptp.hBOOL (tptp.hAPP @t4091 @t305)) @t4679)))) @t4817)))) % 53.50/53.74 (assume @p3659 (forall @t4819 (=> @t4818 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t2961 @t33)) @t4816)) (forall @t1089 (=> (tptp.hBOOL (tptp.hAPP @t4703 @t305)) @t4121)))) @t4817)))) % 53.50/53.74 (assume @p3660 (forall @t4814 (=> @t4804 (exists @t1089 (and @t4815 @t4820))))) % 53.50/53.74 (assume @p3661 (forall @t4814 (=> @t4804 (not (forall @t1089 (=> (tptp.hBOOL (tptp.hAPP @t4810 @t4792)) @t4808)))))) % 53.50/53.74 (assume @p3662 (forall @t4814 (=> @t4804 (not (forall @t1089 (=> @t4815 (not @t4820))))))) % 53.50/53.74 (assume @p3663 (forall @t4755 (=> @t4753 (exists @t1530 (and (tptp.hBOOL (tptp.hAPP @t4822 @t2733)) (tptp.hBOOL (tptp.hAPP @t4821 @t4736))))))) % 53.50/53.74 (assume @p3664 (forall @t4755 (=> @t4753 (exists @t1530 (and (tptp.hBOOL (tptp.hAPP @t4822 @t4736)) (tptp.hBOOL (tptp.hAPP @t4821 @t2733))))))) % 53.50/53.74 (assume @p3665 (forall (@list @t2671 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4711 @t4729)) (not (forall @t7 (not (= @t2671 @t2962))))))) % 53.50/53.74 (assume @p3666 (forall (@list @t4823 @t178) (=> (forall @t7 (=> @t1857 (= @t180 (tptp.hBOOL (tptp.hAPP @t4823 @t3))))) (= @t4455 (tptp.hAPP @t4454 (tptp.hAPP @t3118 @t4823)))))) % 53.50/53.74 (assume @p3667 (forall (@list @t305 @t178 @t88 @t25 @t8) (=> @t115 (=> (forall @t7 (=> @t183 (=> @t180 @t4824))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4395) (tptp.hAPP @t529 @t4367))))))) % 53.50/53.74 (assume @p3668 (forall (@list @t3148 @t2067 @t1685 @t4825 @t49 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2742 @t4825) @t4504)) (not (forall (@list @t3 @t429 @t1529) (=> (= @t4825 @t4805) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4499 (tptp.hAPP (tptp.hAPP @t3075 @t3) @t429)) @t2067)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4495 (tptp.hAPP (tptp.hAPP @t3320 @t429) @t1529)) @t3148)))))))))) % 53.50/53.74 (assume @p3669 (forall (@list @t2067 @t4826 @t49 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2742 @t4826) @t4766)) (not (forall @t435 (=> (= @t4826 (tptp.hAPP (tptp.hAPP @t2739 @t429) @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4013 (tptp.hAPP @t4012 @t429)) @t2067))))))))) % 53.50/53.74 (assume @p3670 (forall @t4833 (= (tptp.c_Nitpick_Oplus__frac @t8 @t2505 @t2067) (tptp.hAPP (tptp.hAPP @t2925 (tptp.c_Nitpick_Oint__lcm @t4832 @t4828)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2981 tptp.tc_Int_Oint) (tptp.c_Nitpick_Ofrac @t8)) (tptp.hAPP (tptp.hAPP @t2831 (tptp.hAPP @t2968 (tptp.hAPP (tptp.hAPP @t4831 (tptp.hAPP @t1624 (tptp.hAPP @t4830 @t2505))) (tptp.hAPP @t4829 @t4832)))) (tptp.hAPP (tptp.hAPP @t4831 (tptp.hAPP @t1624 (tptp.hAPP @t4830 @t2067))) (tptp.hAPP @t4829 @t4828))))) @t2830))))) % 53.50/53.74 (assume @p3671 (forall (@list @t1309 @t1801 @t98) (= (tptp.c_Nitpick_Otimes__frac @t98 @t1801 @t1309) (tptp.hAPP (tptp.hAPP @t4182 (tptp.hAPP (tptp.hAPP @t1624 @t4837) (tptp.hAPP @t4836 @t1309))) (tptp.hAPP (tptp.hAPP @t1624 @t4835) (tptp.hAPP @t4834 @t1309)))))) % 53.50/53.74 (assume @p3672 (forall (@list @t1801 @t98 @t8) (=> (and (tptp.class_Rings_Oinverse @t8) @t1451) (= (tptp.c_Nitpick_Oof__frac @t98 @t8 @t1801) (tptp.hAPP (tptp.hAPP @t1437 (tptp.hAPP @t2612 @t4837)) (tptp.hAPP @t2612 @t4835)))))) % 53.50/53.74 (assume @p3673 (forall @t4838 (= (tptp.c_Nitpick_Oinverse__frac @t98 @t1801) (tptp.hAPP (tptp.hAPP @t4182 @t4835) @t4837)))) % 53.50/53.74 (assume @p3674 (forall @t4838 (= (tptp.c_Nitpick_Ouminus__frac @t98 @t1801) (tptp.c_Nitpick_OAbs__Frac @t98 (tptp.hAPP (tptp.hAPP @t2702 (tptp.hAPP @t2062 @t4837)) @t4835))))) % 53.50/53.74 (assume @p3675 (forall @t4833 (= (tptp.c_Nitpick_Oless__frac @t8 @t2505 @t2067) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t4839) @t1711))))) % 53.50/53.74 (assume @p3676 (forall @t4833 (= (tptp.c_Nitpick_Oless__eq__frac @t8 @t2505 @t2067) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t4839) @t1711))))) % 53.50/53.74 (assume @p3677 (forall @t96 (= @t4827 (tptp.hAPP (tptp.c_Fun_Ocomp @t2850 tptp.tc_Int_Oint @t8 @t3128) @t4840)))) % 53.50/53.74 (assume @p3678 (forall @t96 (= @t4830 (tptp.hAPP (tptp.c_Fun_Ocomp @t2850 tptp.tc_Int_Oint @t8 @t3145) @t4840)))) % 53.50/53.74 (assume @p3679 (forall (@list @t1685 @t49 @t8) (= (tptp.c_Product__Type_Ointernal__split @t8 @t49 @t1685) @t3067))) % 53.50/53.74 (assume @p3680 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t1157)) % 53.50/53.74 (assume @p3681 (forall (@list @t33 @t13 @t32 @t8 @t1685 @t49) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t49 @t1685 @t8) @t32) @t3070) @t3100))) % 53.50/53.74 (assume @p3682 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t1157)) % 53.50/53.74 (assume @p3683 (forall (@list @t1024 @t2) (=> (forall @t1878 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t1876) (tptp.hAPP @t2 @t1876)))) (tptp.hBOOL (tptp.hAPP @t3186 (tptp.hAPP @t4349 (tptp.hAPP (tptp.hAPP @t4343 (tptp.hAPP (tptp.hAPP @t4581 @t595) @t2)) @t1024))))))) % 53.50/53.74 (assume @p3684 (forall @t2068 (= @t4578 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4842 @t4579) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t4579 tptp.c_Wellfounded_Oless__than @t4582)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4579 @t4579 @t4842) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t4579 @t4842) @t4579) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t4579)) @t4841)) (tptp.c_COMBI @t4579)))))) % 53.50/53.74 (assume @p3685 (forall @t4850 (=> (not (= @t4849 @t4848)) (not @t4845)))) % 53.50/53.74 (assume @p3686 (forall (@list @t672 @t2067 @t4851 @t4854 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4859 @t4584)) (and (= @t4855 @t672) @t4853)))) % 53.50/53.74 (assume @p3687 (forall @t2068 (= @t4578 (tptp.hAPP @t4880 (tptp.hAPP @t4879 (tptp.hAPP (tptp.hAPP @t4878 (tptp.hAPP @t4877 (tptp.hAPP (tptp.hAPP @t4874 (tptp.hAPP @t4871 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t4869 (tptp.hAPP @t4868 (tptp.hAPP (tptp.hAPP @t4864 @t506) @t4841))) @t4841)))) (tptp.hAPP (tptp.hAPP @t4878 (tptp.hAPP @t4877 (tptp.hAPP (tptp.hAPP @t4874 @t4872) @t4870))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4579 @t4587 @t4863) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4861 (tptp.tc_fun @t4587 @t4863) @t4579) (tptp.c_COMBC @t4579 @t4587 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4862 @t4861 @t4579) (tptp.hAPP (tptp.c_COMBB @t4586 @t4860 @t4579) @t4858)) @t4856))) @t4582)))))))) % 53.50/53.74 (assume @p3688 (forall @t4885 (= (tptp.hAPP @t4841 @t4884) (tptp.hAPP @t3188 (tptp.hAPP @t4349 @t4883))))) % 53.50/53.74 (assume @p3689 (forall @t4585 (= (tptp.hAPP @t4583 @t692) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4587) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t4892 @t4892) @t4586 (tptp.c_Product__Type_Omap__pair @t4892 @t4579 @t4892 @t4579 @t4891 @t4891)) (tptp.c_Wellfounded_Olex__prod @t8 @t4579 @t2067 @t4584))) (tptp.hAPP @t4880 (tptp.hAPP @t4879 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4579 @t4863 @t4863) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2668 @t4876 @t4579) @t4889) (tptp.hAPP @t4872 @t4888))) @t4888))))))) % 53.50/53.74 (assume @p3690 (forall (@list @t97 @t4843 @t4844 @t98) (=> (tptp.hBOOL (tptp.hAPP @t4896 @t4848)) (not (= @t4844 @t4895))))) % 53.50/53.74 (assume @p3691 (forall (@list @t4897 @t1554 @t4898 @t13 @t8) (= (= @t4900 (tptp.hAPP (tptp.hAPP @t4890 @t1554) @t4897)) (and @t1555 (= @t4898 @t4897))))) % 53.50/53.74 (assume @p3692 (forall @t4902 (not (= @t4901 @t4844)))) % 53.50/53.74 (assume @p3693 (forall @t4903 (not (= @t4844 @t4901)))) % 53.50/53.74 (assume @p3694 (forall (@list @t4904 @t197 @t98) (= (tptp.hAPP @t4847 (tptp.hAPP @t4905 @t4904)) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t4847 @t4904)) @t1322)))) % 53.50/53.74 (assume @p3695 (forall @t4913 (= (tptp.hBOOL (tptp.hAPP @t4912 @t4582)) (or (and @t4053 @t4906) (and @t165 (tptp.hBOOL (tptp.hAPP @t4859 @t4582))))))) % 53.50/53.74 (assume @p3696 (forall (@list @t3549 @t25 @t8) (= (tptp.c_List_Oset__Cons @t8 @t25 @t3549) (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 tptp.tc_HOL_Obool @t4579) @t4433) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4918 @t29 @t4579) (tptp.hAPP (tptp.c_COMBB @t4863 tptp.tc_HOL_Obool @t8) (tptp.c_HOL_OEx @t4579))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4579 @t4918 @t4918) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4921 (tptp.tc_fun @t4918 @t4918) @t4579) (tptp.c_COMBS @t8 @t4863 @t4863)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4920 @t4921 @t4579) (tptp.hAPP (tptp.c_COMBB @t4873 @t4876 @t8) @t4875)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4918 @t4920 @t4579) (tptp.hAPP (tptp.c_COMBB @t4863 @t4873 @t8) @t4872)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4579 @t4919 @t4918) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4917 (tptp.tc_fun @t4919 @t4918) @t4579) (tptp.c_COMBB @t4916 @t4863 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4863 @t4917 @t4579) (tptp.c_COMBB @t4579 tptp.tc_HOL_Obool @t4579)) tptp.c_fequal))) @t4890))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4863 @t4863) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2668 @t4876 @t8) @t4889) @t4196)) (tptp.hAPP @t4915 @t3549))))))))) % 53.50/53.74 (assume @p3697 (forall (@list @t4844 @t97 @t98 @t730) (and (=> @t4925 (= @t4924 (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t98) @t97))) (=> (not @t4925) (= @t4924 (tptp.hAPP (tptp.c_Random_Opick @t98 @t4844) (tptp.hAPP @t2359 @t4923))))))) % 53.50/53.74 (assume @p3698 (forall @t4929 (= (tptp.c_Random_Oselect__weight @t8 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t4928) (tptp.hAPP (tptp.hAPP @t4927 @t2077) @t48)) @t4854)) @t4926))) % 53.50/53.74 (assume @p3699 (forall (@list @t2067 @t57 @t33 @t48 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP (tptp.hAPP @t4856 @t4935) @t4934)) @t4930)) (or @t4041 (and @t44 @t4933))))) % 53.50/53.74 (assume @p3700 (forall @t4784 (= (tptp.hBOOL (tptp.hAPP @t4932 @t4582)) (and @t4933 @t4938)))) % 53.50/53.74 (assume @p3701 (forall @t4942 (=> @t4750 (=> @t4941 (tptp.hBOOL (tptp.hAPP @t4912 @t4940)))))) % 53.50/53.74 (assume @p3702 (forall (@list @t4898 @t13 @t1550 @t8) (= (tptp.c_List_Olist_Olist__size @t8 @t1550 @t4900) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t1551 (tptp.c_List_Olist_Olist__size @t8 @t1550 @t4898))) @t1322)))) % 53.50/53.74 (assume @p3703 (forall (@list @t4854 @t2067 @t48 @t8) (=> @t4103 (=> @t4946 (tptp.hBOOL (tptp.hAPP @t4944 @t4943)))))) % 53.50/53.74 (assume @p3704 (forall @t2068 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4947 (tptp.c_List_Olistrel1 @t8 @t4724)) @t4940)))) % 53.50/53.74 (assume @p3705 (forall @t2068 (= @t4949 @t4948))) % 53.50/53.74 (assume @p3706 (forall @t3830 (=> @t3829 (tptp.hBOOL (tptp.hAPP @t4950 (tptp.c_List_Olistrel1 @t8 @t3148)))))) % 53.50/53.74 (assume @p3707 (forall @t4953 (=> @t4952 (tptp.hBOOL (tptp.hAPP @t4951 @t4939))))) % 53.50/53.74 (assume @p3708 (forall @t4953 (=> @t4941 (tptp.hBOOL (tptp.hAPP @t4951 @t4940))))) % 53.50/53.74 (assume @p3709 (forall @t4954 (=> @t4952 @t4906))) % 53.50/53.74 (assume @p3710 (forall @t4784 (=> (tptp.hBOOL (tptp.hAPP @t4932 @t4940)) @t4938))) % 53.50/53.74 (assume @p3711 (forall @t4784 (= (tptp.hBOOL (tptp.hAPP @t4932 @t4949)) (tptp.hBOOL (tptp.hAPP @t4932 @t4948))))) % 53.50/53.74 (assume @p3712 (forall (@list @t4854 @t2067 @t57 @t48 @t8) (=> @t4053 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4911 (tptp.hAPP @t4907 @t4854))) @t4939))))) % 53.50/53.74 (assume @p3713 (forall @t4913 (= (tptp.hBOOL (tptp.hAPP @t4912 @t4939)) (or (and @t4053 @t4955) (and @t165 @t4952))))) % 53.50/53.74 (assume @p3714 (forall (@list @t4854 @t48 @t2067 @t8) (= (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4957 @t4910) @t4956)) (tptp.c_List_Oset__Cons @t8 @t4038 (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4957 @t4854) @t4956)))))) % 53.50/53.74 (assume @p3715 (forall (@list @t57 @t2067 @t8) (=> @t3811 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4960 @t57)) @t4930)))))) % 53.50/53.74 (assume @p3716 (forall @t4962 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4857 @t4854)) @t4961)))) % 53.50/53.74 (assume @p3717 (forall @t3830 (=> @t3829 (tptp.hBOOL (tptp.hAPP @t4963 (tptp.c_List_Olistrel @t8 @t3148)))))) % 53.50/53.74 (assume @p3718 (forall @t2068 (tptp.hBOOL (tptp.hAPP @t4963 @t4940)))) % 53.50/53.74 (assume @p3719 (forall @t4954 (=> @t4964 @t4906))) % 53.50/53.74 (assume @p3720 (forall (@list @t4965 @t2067 @t4851 @t4854 @t8) (=> @t4967 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4966 @t4965)) @t4961)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4857 @t4965)) @t4961)))))) % 53.50/53.74 (assume @p3721 (forall @t2068 (= @t4961 @t4940))) % 53.50/53.74 (assume @p3722 (forall @t4954 (=> @t4952 @t4967))) % 53.50/53.74 (assume @p3723 (forall @t4557 (=> (tptp.hBOOL (tptp.hAPP @t3828 @t4003)) (=> (tptp.c_Relation_Orefl__on @t8 @t2651 @t4003) (tptp.hBOOL (tptp.hAPP @t4950 (tptp.c_List_Olistrel @t8 @t4003))))))) % 53.50/53.74 (assume @p3724 (forall @t4954 (=> @t4964 @t4941))) % 53.50/53.74 (assume @p3725 (forall @t4942 (=> @t4053 (=> @t4964 (tptp.hBOOL (tptp.hAPP @t4912 @t4958)))))) % 53.50/53.74 (assume @p3726 (forall (@list @t3585 @t48 @t2067 @t8) (= (tptp.c_List_Olistrelp @t8 @t4104 @t48 @t3585) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4931 @t3585)) @t4958))))) % 53.50/53.74 (assume @p3727 (forall (@list @t2067 @t4851 @t57 @t4854 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4857 @t4908)) @t4958)) (not (forall (@list @t3 @t4968) (=> (= @t4854 @t4970) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t2961 @t57)) @t2067)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP (tptp.hAPP @t4856 @t4968) @t4851)) @t4958)))))))))) % 53.50/53.74 (assume @p3728 (forall (@list @t431 @t405 @t432 @t406 @t2067 @t8) (= (tptp.c_List_Olistrelp @t8 @t2067 (tptp.hAPP @t4973 @t432) (tptp.hAPP @t4972 @t431)) (and @t4971 (tptp.c_List_Olistrelp @t8 @t2067 @t432 @t431))))) % 53.50/53.74 (assume @p3729 (forall (@list @t4851 @t4854 @t8 @t57 @t48 @t2067) (=> @t4974 (=> (tptp.c_List_Olistrelp @t8 @t2067 @t4854 @t4851) (tptp.c_List_Olistrelp @t8 @t2067 @t4910 @t4908))))) % 53.50/53.74 (assume @p3730 (forall (@list @t2067 @t4854 @t4851 @t57 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP (tptp.hAPP @t4856 @t4908) @t4854)) @t4958)) (not (forall (@list @t429 @t4975) (=> (= @t4854 (tptp.hAPP @t4976 @t4975)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t4088 @t429)) @t2067)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4966 @t4975)) @t4958)))))))))) % 53.50/53.74 (assume @p3731 (forall @t4418 (=> @t4278 (tptp.hBOOL (tptp.hAPP @t4963 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t4579 @t4579) @t4977) (tptp.hAPP (tptp.c_COMBK @t4863 @t4579) @t4977))))))) % 53.50/53.74 (assume @p3732 (forall @t96 (= (tptp.c_List_Olists @t8 @t2651) @t4978))) % 53.50/53.74 (assume @p3733 (forall @t116 (=> @t115 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4980 @t4977) @t4979))))) % 53.50/53.74 (assume @p3734 (forall @t4037 (=> @t4044 (tptp.c_Equiv__Relations_Oequiv @t4579 @t4977 @t4958)))) % 53.50/53.74 (assume @p3735 (forall @t4037 (=> @t4342 (tptp.c_Relation_Orefl__on @t4579 @t4977 @t4958)))) % 53.50/53.74 (assume @p3736 (forall (@list @t25 @t4854 @t48 @t8) (= (tptp.hBOOL (tptp.hAPP @t4944 @t4977)) (and @t149 @t4981)))) % 53.50/53.74 (assume @p3737 (forall @t4962 (=> @t4982 @t4946))) % 53.50/53.74 (assume @p3738 (forall @t4962 (=> @t4946 @t4982))) % 53.50/53.74 (assume @p3739 (forall @t4954 (= @t4964 (and @t4906 (forall @t1878 (=> @t4989 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t4987 (tptp.hAPP @t4984 @t1876))) @t2067)))))))) % 53.50/53.74 (assume @p3740 (forall @t4731 (=> (forall @t3066 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t4990 @t1391)) @t2067)) (= @t440 @t1391) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2960 @t1391) @t440)) @t2067)))) (or @t4933 @t165 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4960 @t48)) @t4930)))))) % 53.50/53.74 (assume @p3741 (forall @t96 (not (tptp.hBOOL (tptp.hAPP @t4991 @t4978))))) % 53.50/53.74 (assume @p3742 (forall @t4994 (= @t4955 (and @t4906 (forall @t1419 (=> @t4993 (= @t4992 (tptp.hAPP @t4984 @t1415)))))))) % 53.50/53.74 (assume @p3743 (forall (@list @t658 @t4844 @t97 @t98) (= (tptp.hAPP @t4998 @t659) @t4997))) % 53.50/53.74 (assume @p3744 (forall @t4902 (= (tptp.hAPP @t4998 @t1157) @t97))) % 53.50/53.74 (assume @p3745 (forall (@list @t672 @t4854 @t48 @t8) (= (tptp.hAPP (tptp.hAPP @t4983 @t4910) @t672) (tptp.c_Nat_Onat_Onat__case @t8 @t48 @t4985 @t672)))) % 53.50/53.74 (assume @p3746 (forall @t5000 (and (=> @t1204 (= @t4999 @t97)) (=> @t1205 (= @t4999 (tptp.hAPP @t4996 @t1385)))))) % 53.50/53.74 (assume @p3747 (forall @t5003 (and (=> @t1943 (= @t5001 @t97)) (=> @t5002 (= @t5001 (tptp.hAPP @t4996 @t1535)))))) % 53.50/53.74 (assume @p3748 (forall @t4784 (= @t4933 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t4937) @t4936)) (= (tptp.hAPP (tptp.hAPP @t5004 @t4937) @t57) @t48)) (exists @t1419 (and (tptp.hBOOL (tptp.hAPP @t2649 (tptp.hAPP (tptp.hAPP @t1633 @t4937) @t4936))) (= (tptp.hAPP @t5005 @t48) (tptp.hAPP @t5005 @t57)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2960 (tptp.hAPP (tptp.hAPP @t4983 @t48) @t1415)) (tptp.hAPP (tptp.hAPP @t4983 @t57) @t1415))) @t2067)))))))) % 53.50/53.74 (assume @p3749 (forall @t4885 (= @t5013 (tptp.hAPP @t4359 (tptp.hAPP @t5011 (tptp.hAPP @t5009 @t4883)))))) % 53.50/53.74 (assume @p3750 (forall @t5015 (tptp.hBOOL (tptp.hAPP @t334 @t5014)))) % 53.50/53.74 (assume @p3751 (forall @t5018 (tptp.hBOOL (tptp.hAPP @t5017 @t5016)))) % 53.50/53.74 (assume @p3752 (forall @t5023 (=> @t5022 (= @t5021 @t4844)))) % 53.50/53.74 (assume @p3753 (forall (@list @t4854 @t8 @t672 @t673) (=> @t699 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP @t5012 (tptp.hAPP (tptp.hAPP @t5004 @t673) @t4854))) @t5026))))) % 53.50/53.74 (assume @p3754 (forall @t5027 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t5026) @t5014)))) % 53.50/53.74 (assume @p3755 (forall @t4885 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t5013) @t5014)))) % 53.50/53.74 (assume @p3756 (forall (@list @t4844 @t98 @t658 @t730) (=> @t5029 (= (tptp.hAPP (tptp.hAPP @t4995 @t5021) @t730) @t5028)))) % 53.50/53.74 (assume @p3757 (forall (@list @t4854 @t48 @t57 @t8) (=> (tptp.hBOOL (tptp.hAPP @t189 @t5016)) (or @t63 @t5030)))) % 53.50/53.74 (assume @p3758 (forall @t5033 (=> @t5032 @t5031))) % 53.50/53.74 (assume @p3759 (forall @t5034 (=> (tptp.hBOOL (tptp.hAPP @t148 @t5026)) @t5031))) % 53.50/53.74 (assume @p3760 (forall @t5033 (=> @t5035 (not @t5032)))) % 53.50/53.74 (assume @p3761 (forall @t5037 (= (tptp.hAPP @t5036 @t4901) (tptp.hAPP @t4894 @t5021)))) % 53.50/53.74 (assume @p3762 (forall @t5039 (= (tptp.hAPP @t4847 @t5021) (tptp.hAPP @t5038 @t658)))) % 53.50/53.74 (assume @p3763 (forall @t5041 (= (tptp.hAPP @t5020 @t5040) (tptp.hAPP (tptp.hAPP @t5019 (tptp.hAPP @t1634 @t662)) @t4844)))) % 53.50/53.74 (assume @p3764 (forall @t4929 (= @t5016 @t5042))) % 53.50/53.74 (assume @p3765 (forall (@list @t672 @t1695 @t8) (= (tptp.c_List_Osublist @t8 @t1695 @t3178) (tptp.hAPP @t5024 @t1695)))) % 53.50/53.74 (assume @p3766 (forall @t5015 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t5043) @t4855)))) % 53.50/53.74 (assume @p3767 (forall @t5050 (= @t5049 @t5047))) % 53.50/53.74 (assume @p3768 (forall @t5053 (=> @t5031 (=> (tptp.hBOOL (tptp.hAPP @t5052 @t94)) (tptp.hBOOL (tptp.hAPP @t5052 @t5051)))))) % 53.50/53.74 (assume @p3769 (forall @t5053 (=> @t5031 (=> (tptp.hBOOL (tptp.hAPP @t1895 @t94)) (tptp.hBOOL (tptp.hAPP @t1895 @t5051)))))) % 53.50/53.74 (assume @p3770 (forall @t5054 (= @t4981 (forall @t7 (=> @t5048 @t183))))) % 53.50/53.74 (assume @p3771 (forall @t4929 (=> @t5031 @t5055))) % 53.50/53.74 (assume @p3772 (forall (@list @t4854 @t8 @t672) (=> @t5057 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t5056) @t5014))))) % 53.50/53.74 (assume @p3773 (forall @t4929 (= @t5031 (exists @t1419 (and @t4993 (= @t4992 @t48)))))) % 53.50/53.74 (assume @p3774 (forall @t135 (= @t4977 (tptp.hAPP @t4922 @t5061)))) % 53.50/53.74 (assume @p3775 (forall @t5015 (= @t5014 (tptp.hAPP @t4359 (tptp.hAPP @t5011 (tptp.hAPP @t5009 @t4881)))))) % 53.50/53.74 (assume @p3776 (forall @t5064 (=> @t335 (tptp.hBOOL (tptp.hAPP @t4991 (tptp.hAPP @t4922 (tptp.hAPP @t5063 @t5062))))))) % 53.50/53.74 (assume @p3777 (forall @t5064 (=> @t335 (tptp.hBOOL (tptp.hAPP @t4991 (tptp.hAPP @t4922 (tptp.hAPP @t5063 (tptp.hAPP (tptp.hAPP @t4886 (tptp.hAPP (tptp.hAPP @t4864 @t595) @t4841)) @t672)))))))) % 53.50/53.74 (assume @p3778 (forall @t4954 (= @t4964 (and @t4906 (forall @t7 (=> @t5067 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3896 @t4104) @t3)))))))) % 53.50/53.74 (assume @p3779 (forall @t5080 (= @t5079 (tptp.hAPP @t4375 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2858 tptp.tc_HOL_Obool @t2660) @t5010) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2660 @t2858 @t2858) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5008 @t3744 @t2660) @t4348) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2858 @t5008 @t2660) @t4347) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2660 @t5074 @t2858) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2661 (tptp.tc_fun @t5074 @t2858) @t2660) (tptp.c_COMBB @t2660 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t49 @t2660) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t2764 tptp.tc_Nat_Onat) @t2739) @t4985)) @t5073))))) (tptp.hAPP @t4344 @t5071))))))) % 53.50/53.74 (assume @p3780 (forall @t5085 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t5084) @t658) @t5083) (tptp.hAPP (tptp.hAPP @t5081 @t5021) (tptp.hAPP (tptp.hAPP @t5004 @t658) @t4843))))) % 53.50/53.74 (assume @p3781 (forall (@list @t4843 @t4844 @t8 @t98) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5084)) @t5083) (tptp.hAPP @t5038 @t5086)))) % 53.50/53.74 (assume @p3782 (forall (@list @t4843 @t152 @t4844 @t97 @t8 @t98) (= (tptp.hAPP (tptp.hAPP @t5081 @t4901) (tptp.hAPP (tptp.hAPP @t4890 @t152) @t4843)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5084) @t3154) @t5083)))) % 53.50/53.74 (assume @p3783 (forall @t4994 (= @t4955 (and @t4906 (forall @t7 (=> @t5067 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3896 tptp.c_fequal) @t3)))))))) % 53.50/53.74 (assume @p3784 (forall (@list @t4854 @t33 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t3899 (tptp.hAPP @t5066 @t5088))) (and @t5087 @t44)))) % 53.50/53.74 (assume @p3785 (forall @t5090 (=> @t5089 @t5031))) % 53.50/53.74 (assume @p3786 (forall @t5090 (=> @t5089 @t5093))) % 53.50/53.74 (assume @p3787 (forall @t5090 (=> @t5089 (not (=> @t5031 (not @t5093)))))) % 53.50/53.74 (assume @p3788 (forall (@list @t4843 @t8 @t4844 @t98 @t730) (=> @t5094 (=> (tptp.hBOOL (tptp.hAPP @t766 @t5086)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t5084) @t5083) @t730) (tptp.hAPP (tptp.hAPP @t3062 @t5028) (tptp.hAPP (tptp.hAPP @t4983 @t4843) @t730))))))) % 53.50/53.74 (assume @p3789 (forall @t3885 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t972 @t971) (tptp.hAPP @t5096 (tptp.c_List_Oupto @t3539 @t5095))))) % 53.50/53.74 (assume @p3790 (forall @t5015 (=> @t1316 (= @t5098 (tptp.hAPP (tptp.hAPP @t3199 @t4985) (tptp.hAPP @t3752 @t4855)))))) % 53.50/53.74 (assume @p3791 (forall @t3885 (= @t3540 @t5100))) % 53.50/53.74 (assume @p3792 (forall @t3885 (= @t5100 @t3540))) % 53.50/53.74 (assume @p3793 (forall (@list @t5101) (= (= (tptp.hAPP @t5105 @t5101) @t1157) @t5104))) % 53.50/53.74 (assume @p3794 (forall @t4902 (=> @t1180 (= (tptp.hAPP @t5106 @t4901) (tptp.hAPP @t1518 @t5107))))) % 53.50/53.74 (assume @p3795 (forall (@list @t5108 @t726) (=> @t5114 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t5111) @t5109))))) % 53.50/53.74 (assume @p3796 (forall @t3885 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t972) @t971) (tptp.hAPP @t5096 (tptp.c_List_Oupto @t972 @t5095))))) % 53.50/53.74 (assume @p3797 (forall @t3885 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t972 @t971) (tptp.hAPP @t5096 @t5115)))) % 53.50/53.74 (assume @p3798 (forall @t2119 (= (tptp.c_List_Onat__list @t1695) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t5096 @t1695))))) % 53.50/53.74 (assume @p3799 (forall (@list @t1 @t2 @t4854 @t8) (=> (forall @t7 (=> @t5048 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t5051) (tptp.c_List_Olist_Olist__size @t8 @t1 @t4854)))))) % 53.50/53.74 (assume @p3800 (forall (@list @t658 @t5108 @t726) (=> @t5114 (= (tptp.hAPP @t5105 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t5108) @t726) @t658)) (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP (tptp.hAPP @t796 @t5109) @t658)) @t5111))))) % 53.50/53.74 (assume @p3801 (forall @t5118 (=> (tptp.hBOOL (tptp.hAPP @t688 @t4849)) (= (tptp.c_List_Obutlast @t98 @t5021) @t5117)))) % 53.50/53.74 (assume @p3802 (forall @t5122 (=> (tptp.hBOOL (tptp.hAPP @t4896 @t730)) (= @t5121 @t4844)))) % 53.50/53.74 (assume @p3803 (forall @t5123 (= (tptp.hAPP @t5120 @t5028) @t4844))) % 53.50/53.74 (assume @p3804 (forall (@list @t97 @t4844 @t98 @t727 @t730) @t5128)) % 53.50/53.74 (assume @p3805 (forall (@list @t97 @t4844 @t98 @t726) (and (=> @t5135 (= @t5132 @t5129)) (=> @t5136 (= @t5132 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t98 @t5129) @t726) @t97)))))) % 53.50/53.74 (assume @p3806 (forall @t5122 (= (tptp.hAPP @t4847 @t5121) @t4849))) % 53.50/53.74 (assume @p3807 (forall (@list @t152 @t4843 @t97 @t730 @t4844 @t8 @t98) (= (tptp.hAPP (tptp.hAPP @t5081 @t5121) (tptp.hAPP @t5138 @t152)) (tptp.hAPP @t5137 @t3154)))) % 53.50/53.74 (assume @p3808 (forall (@list @t5139 @t730 @t4843 @t4844 @t8 @t98) (= (tptp.hAPP @t5137 @t5139) (tptp.hAPP (tptp.hAPP @t5081 (tptp.hAPP @t5120 (tptp.hAPP @t3152 @t5139))) (tptp.hAPP @t5138 (tptp.hAPP @t3150 @t5139)))))) % 53.50/53.74 (assume @p3809 (forall (@list @t5140 @t97 @t4844 @t98 @t5141 @t730) (=> (not (= @t730 @t5141)) (= (tptp.hAPP (tptp.hAPP @t5142 @t5141) @t5140) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t98 (tptp.hAPP (tptp.hAPP @t5119 @t5141) @t5140)) @t730) @t97))))) % 53.50/53.74 (assume @p3810 (forall (@list @t152 @t97 @t730 @t4844 @t98) (= (tptp.hAPP (tptp.hAPP @t5142 @t730) @t152) @t5143))) % 53.50/53.74 (assume @p3811 (forall (@list @t1088 @t972 @t4854 @t48 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t4910) @t972) @t1088) (tptp.c_Nat_Onat_Onat__case @t4579 (tptp.hAPP (tptp.hAPP @t4890 @t1088) @t4854) (tptp.hAPP @t5145 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t8 @t4579) @t5144) @t1088)) @t972)))) % 53.50/53.74 (assume @p3812 (forall (@list @t152 @t730 @t4844 @t97 @t98) (= (tptp.hAPP (tptp.hAPP @t5146 @t763) @t152) (tptp.hAPP @t4894 @t5143)))) % 53.50/53.74 (assume @p3813 (forall (@list @t152 @t4844 @t97 @t98) (= (tptp.hAPP (tptp.hAPP @t5146 @t1157) @t152) @t5148))) % 53.50/53.74 (assume @p3814 (forall @t4929 (=> @t5150 @t5031))) % 53.50/53.74 (assume @p3815 (forall (@list @t972 @t48 @t25 @t4854 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5017 @t25)) (=> @t149 (tptp.hBOOL (tptp.hAPP @t5153 @t25)))))) % 53.50/53.74 (assume @p3816 (forall (@list @t48 @t972 @t4854 @t8) (tptp.hBOOL (tptp.hAPP @t5153 @t5042)))) % 53.50/53.74 (assume @p3817 (forall (@list @t97 @t4844 @t98 @t730) (=> @t5094 (= (tptp.hAPP @t5125 @t730) @t97)))) % 53.50/53.74 (assume @p3818 (forall (@list @t48 @t4854 @t8 @t972) (=> @t5155 (= (= @t5152 @t4854) (= @t5154 @t48))))) % 53.50/53.74 (assume @p3819 (forall (@list @t97 @t727 @t4844 @t98 @t730) (=> @t5094 (and (=> @t5127 (= @t5126 @t97)) @t5128)))) % 53.50/53.74 (assume @p3820 (forall @t5118 (=> @t5156 (= (tptp.hAPP @t5020 @t5129) @t5021)))) % 53.50/53.74 (assume @p3821 (forall @t5157 (= (tptp.hAPP @t4847 @t5129) @t5134))) % 53.50/53.74 (assume @p3822 (forall (@list @t48 @t4854 @t8 @t672) (=> @t5057 (tptp.hBOOL (tptp.hAPP @t148 (tptp.hAPP @t5012 (tptp.hAPP (tptp.hAPP @t5144 @t672) @t48))))))) % 53.50/53.74 (assume @p3823 (forall @t5157 (= @t5129 (tptp.hAPP (tptp.hAPP @t5019 @t5134) @t4844)))) % 53.50/53.74 (assume @p3824 (forall @t4954 (= @t4952 (exists (@list @t429 @t1876) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t4987 @t429)) @t2067)) @t4989 (= @t4851 (tptp.hAPP (tptp.hAPP @t5144 @t1876) @t429))))))) % 53.50/53.74 (assume @p3825 (forall (@list @t972 @t13 @t4854 @t8) (=> @t5160 (=> (not (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t5159 (tptp.hAPP (tptp.hAPP @t26 @t5154) @t30))))) (tptp.hBOOL (tptp.hAPP @t5158 (tptp.hAPP @t5151 @t13))))))) % 53.50/53.74 (assume @p3826 (forall @t924 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t5161)))) % 53.50/53.74 (assume @p3827 (forall @t5123 (=> @t5165 (tptp.hBOOL (tptp.hAPP @t5164 @t5163))))) % 53.50/53.74 (assume @p3828 (forall @t4885 (=> @t5160 (tptp.hBOOL (tptp.hAPP @t5158 @t4884))))) % 53.50/53.74 (assume @p3829 (forall (@list @t4844 @t8 @t4843 @t98) (=> (tptp.hBOOL (tptp.hAPP @t5164 @t4843)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_prod @t8 @t98)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t8 @t98) @t4844) @t4843)))))) % 53.50/53.74 (assume @p3830 (forall @t5167 (=> @t5165 (tptp.hBOOL (tptp.hAPP @t5166 @t5083))))) % 53.50/53.74 (assume @p3831 (forall @t4929 (= (tptp.hBOOL (tptp.hAPP @t5158 @t4910)) @t5168))) % 53.50/53.74 (assume @p3832 (forall @t5015 (=> @t5169 @t5160))) % 53.50/53.74 (assume @p3833 (forall @t5015 (=> @t5160 @t5169))) % 53.50/53.74 (assume @p3834 (forall @t5172 (=> @t5160 (=> @t5155 (=> (tptp.hBOOL (tptp.hAPP @t5171 @t4855)) (= (= @t5154 @t5170) (= @t972 @t971))))))) % 53.50/53.74 (assume @p3835 (forall @t5015 (= @t5160 (forall @t1419 (=> @t4993 (forall @t1329 (=> @t5174 (=> (not (= @t1415 @t1327)) (not (= @t4992 @t5173)))))))))) % 53.50/53.74 (assume @p3836 (forall @t5015 (=> @t1316 (=> @t5160 (= @t5098 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t8) @t2822) @t5014)))))) % 53.50/53.74 (assume @p3837 (forall @t135 (and (=> @t335 (= @t5175 (tptp.hAPP @t4841 @t5176))) (=> @t1228 (= @t5175 @t1157))))) % 53.50/53.74 (assume @p3838 (forall (@list @t4843 @t4844 @t98 @t726) (=> (tptp.hBOOL (tptp.hAPP @t741 @t4849)) (=> (tptp.hBOOL (tptp.hAPP @t741 @t4848)) (=> (forall @t1419 (=> (tptp.hBOOL (tptp.hAPP @t2649 @t726)) (= @t5179 (tptp.hAPP @t5178 @t1415)))) (= (tptp.hAPP @t5177 @t4844) (tptp.hAPP @t5177 @t4843))))))) % 53.50/53.74 (assume @p3839 (forall @t5018 (=> @t5160 (= @t5182 @t5180)))) % 53.50/53.74 (assume @p3840 (forall @t5003 (and (=> @t1943 (= @t5183 @t5184)) (=> @t5002 (= @t5183 (tptp.hAPP @t4894 (tptp.hAPP (tptp.hAPP @t5019 @t1535) @t4844))))))) % 53.50/53.74 (assume @p3841 (forall @t135 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4914 @t5185) @t4977)))) % 53.50/53.74 (assume @p3842 (forall @t4962 (=> (tptp.hBOOL (tptp.hAPP @t5188 @t4958)) @t5186))) % 53.50/53.74 (assume @p3843 (forall @t4962 (=> (tptp.hBOOL (tptp.hAPP @t5189 @t4958)) @t5186))) % 53.50/53.74 (assume @p3844 (forall @t5192 (=> @t5191 (=> @t5165 (tptp.hBOOL (tptp.hAPP @t5164 @t5129)))))) % 53.50/53.74 (assume @p3845 (forall @t1198 (tptp.hBOOL (tptp.hAPP @t5164 @t5184)))) % 53.50/53.74 (assume @p3846 (forall @t5194 (=> @t5165 (tptp.hBOOL (tptp.hAPP @t5164 @t5193))))) % 53.50/53.74 (assume @p3847 (forall @t1198 (= (tptp.c_List_Obutlast @t98 @t5184) @t5184))) % 53.50/53.74 (assume @p3848 (forall @t4903 (and (=> @t5190 (= @t5195 @t5184)) (=> @t5191 (= @t5195 (tptp.hAPP @t4894 @t5129)))))) % 53.50/53.74 (assume @p3849 (forall @t5197 (and (=> @t186 (= @t5196 @t4844)) (=> @t381 (= @t5196 (tptp.hAPP @t5147 @t5193)))))) % 53.50/53.74 (assume @p3850 (forall @t5200 (not (= @t5199 @t5184)))) % 53.50/53.74 (assume @p3851 (forall @t5200 (not (= @t5184 @t5199)))) % 53.50/53.74 (assume @p3852 (forall @t927 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t727) @t730)) @t5202))) % 53.50/53.74 (assume @p3853 (forall @t1881 (= (tptp.hAPP @t5020 @t5184) @t5184))) % 53.50/53.74 (assume @p3854 (forall @t5157 (= (tptp.hAPP (tptp.hAPP @t5019 @t1157) @t4844) @t5184))) % 53.50/53.74 (assume @p3855 (forall @t5027 (= (= @t5025 @t5185) (or @t1207 @t5186)))) % 53.50/53.74 (assume @p3856 (forall @t135 (= (tptp.c_List_Osublist @t8 @t5185 @t25) @t5185))) % 53.50/53.74 (assume @p3857 (forall @t103 (= (tptp.c_List_Oremove1 @t98 @t97 @t5184) @t5184))) % 53.50/53.74 (assume @p3858 (forall @t5204 (= (tptp.c_List_Oremove1 @t98 @t97 (tptp.c_List_Oremove1 @t98 @t152 @t5203)) (tptp.c_List_Oremove1 @t98 @t152 (tptp.c_List_Oremove1 @t98 @t97 @t5203))))) % 53.50/53.74 (assume @p3859 (forall @t2068 (tptp.c_List_Olistrelp @t8 @t2067 @t5185 @t5185))) % 53.50/53.74 (assume @p3860 (forall (@list @t4844 @t8 @t98) (= (tptp.hAPP @t5082 @t5185) @t5205))) % 53.50/53.74 (assume @p3861 (forall (@list @t4843 @t8 @t98) (= (tptp.hAPP (tptp.hAPP @t5081 @t5184) @t4843) @t5205))) % 53.50/53.74 (assume @p3862 (forall @t1198 (=> @t1180 (= (tptp.hAPP @t5106 @t5184) @t1135)))) % 53.50/53.74 (assume @p3863 (forall @t1198 (= (tptp.hAPP @t4847 @t5184) @t1157))) % 53.50/53.74 (assume @p3864 (forall @t5015 (= (= @t4855 @t1157) @t5186))) % 53.50/53.74 (assume @p3865 (forall @t5015 (= (= @t5014 @t30) @t5186))) % 53.50/53.74 (assume @p3866 (forall @t5015 (= (= @t30 @t5014) @t5186))) % 53.50/53.74 (assume @p3867 (forall @t96 (= (tptp.hAPP @t5012 @t5185) @t30))) % 53.50/53.74 (assume @p3868 (forall (@list @t48 @t676 @t4854 @t8) (= (= (tptp.hAPP (tptp.hAPP @t5144 @t676) @t48) @t5185) @t5186))) % 53.50/53.74 (assume @p3869 (forall (@list @t1132 @t730 @t98) (= (tptp.hAPP @t5206 @t1132) @t5184))) % 53.50/53.74 (assume @p3870 (forall (@list @t152 @t730 @t98) (= (tptp.hAPP @t5206 @t152) @t5184))) % 53.50/53.74 (assume @p3871 (forall @t5207 (= (tptp.c_List_Olist_Olist__size @t8 @t1550 @t5185) @t1157))) % 53.50/53.74 (assume @p3872 (forall (@list @t4854 @t8 @t33 @t13) (=> @t119 (= (tptp.hBOOL (tptp.hAPP @t117 (tptp.hAPP @t5012 (tptp.c_List_Oremove1 @t8 @t33 @t4854)))) @t5087)))) % 53.50/53.74 (assume @p3873 (forall @t5208 (=> @t5035 (not (tptp.hBOOL (tptp.hAPP @t148 (tptp.hAPP @t5012 (tptp.c_List_Oremove1 @t8 @t57 @t4854)))))))) % 53.50/53.74 (assume @p3874 (forall @t4929 (=> @t5035 (= @t5181 @t4854)))) % 53.50/53.74 (assume @p3875 (forall @t5015 (= (tptp.c_List_Osublist @t8 @t4854 @t3187) @t5185))) % 53.50/53.74 (assume @p3876 (forall @t4929 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t5182) @t5014)))) % 53.50/53.74 (assume @p3877 (forall @t5015 (= @t5055 @t5209))) % 53.50/53.74 (assume @p3878 (forall @t4902 (= (tptp.hAPP (tptp.hAPP @t5019 @t638) @t4901) @t5210))) % 53.50/53.74 (assume @p3879 (forall @t4962 (not (tptp.hBOOL (tptp.hAPP @t5188 @t4939))))) % 53.50/53.74 (assume @p3880 (forall @t4962 (not (tptp.hBOOL (tptp.hAPP @t5189 @t4939))))) % 53.50/53.74 (assume @p3881 (forall @t2068 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 @t5211) @t4958)))) % 53.50/53.74 (assume @p3882 (forall @t4040 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4931 @t5185)) @t4930))))) % 53.50/53.74 (assume @p3883 (forall (@list @t2067 @t4851 @t8) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t5187 @t4851)) @t4582))))) % 53.50/53.74 (assume @p3884 (forall @t4962 (not (tptp.hBOOL (tptp.hAPP @t5189 @t4582))))) % 53.50/53.74 (assume @p3885 (forall @t5213 (= (tptp.hAPP @t5024 @t4910) (tptp.c_Nat_Onat_Onat__case @t4579 @t5185 (tptp.hAPP @t5145 (tptp.hAPP (tptp.hAPP @t5212 @t5004) @t4854)) @t672)))) % 53.50/53.74 (assume @p3886 (forall @t924 (and (=> @t1769 (= @t5161 (tptp.hAPP (tptp.hAPP @t5215 @t730) (tptp.c_List_Oupto @t5214 @t727)))) (=> (not @t1769) @t5202)))) % 53.50/53.74 (assume @p3887 (forall (@list @t48 @t8 @t25) (and (=> @t5219 (= @t5217 @t5216)) (=> (not @t5219) (= @t5217 @t5185))))) % 53.50/53.74 (assume @p3888 (forall @t96 (= (tptp.c_List_Olists @t8 @t30) @t5220))) % 53.50/53.74 (assume @p3889 (forall @t5000 (and (=> @t1204 (= @t5221 @t5184)) (=> @t1205 (= @t5221 (tptp.hAPP @t4894 @t5117)))))) % 53.50/53.74 (assume @p3890 (forall @t668 (and (=> @t5224 (= @t5223 (tptp.hAPP (tptp.hAPP @t5215 @t5222) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t1617 @t5222) @t1708) @t2168)))) (=> (not @t5224) (= @t5223 @t5201))))) % 53.50/53.74 (assume @p3891 (forall @t2068 (= (tptp.hAPP @t4959 @t5220) @t5220))) % 53.50/53.74 (assume @p3892 (forall @t135 (= (tptp.c_List_Oset__Cons @t8 @t25 @t5220) (tptp.hAPP (tptp.c_Set_Oimage @t8 @t4579 @t5227) @t25)))) % 53.50/53.74 (assume @p3893 (forall @t4929 (and (=> @t5031 (= @t5228 (tptp.hAPP (tptp.hAPP @t541 @t4855) @t638))) (=> @t5035 (= @t5228 @t4855))))) % 53.50/53.74 (assume @p3894 (forall @t3885 (=> (tptp.hBOOL (tptp.hAPP @t5230 (tptp.hAPP (tptp.hAPP @t2702 @t972) @t971))) (and (=> @t5229 (= @t5099 (tptp.hAPP (tptp.hAPP @t5215 @t972) @t5115))) (=> (not @t5229) (= @t5099 @t5201)))))) % 53.50/53.74 (assume @p3895 (forall (@list @t3148 @t8 @t4854) (=> @t5209 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 (tptp.hAPP @t5232 (tptp.hAPP @t5231 @t3148))) @t5014))))) % 53.50/53.74 (assume @p3896 (forall @t96 (= (tptp.c_List_Olistset @t8 (tptp.c_List_Olist_ONil @t29)) @t5220))) % 53.50/53.74 (assume @p3897 (forall @t5238 (= (tptp.hAPP (tptp.hAPP @t5075 @t4910) @t4851) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5234 @t49 @t5237 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 @t5236 @t5236) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5235 (tptp.tc_fun @t5236 @t5236) @t49) (tptp.c_COMBB @t5234 @t5234 @t5068)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2660 @t5235 @t49) @t5233) @t2740))) @t5076)) @t4851)))) % 53.50/53.74 (assume @p3898 (forall (@list @t4898 @t13 @t2638 @t1683 @t49 @t8) (= (tptp.hAPP @t5241 (tptp.hAPP (tptp.hAPP @t5240 @t13) @t4898)) (tptp.hAPP @t5239 @t4898)))) % 53.50/53.74 (assume @p3899 (forall @t5243 (= (tptp.hAPP @t5241 @t5242) @t1683))) % 53.50/53.74 (assume @p3900 (forall (@list @t5244 @t25 @t8) (= (tptp.c_List_Olistset @t8 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t29) @t25) @t5244)) (tptp.c_List_Oset__Cons @t8 @t25 (tptp.c_List_Olistset @t8 @t5244))))) % 53.50/53.74 (assume @p3901 (forall (@list @t4851 @t57 @t4854 @t49 @t8) (= (tptp.hAPP @t5076 @t5247) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5234 @t8 @t5237 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5245 @t5245) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5235 (tptp.tc_fun @t5245 @t5245) @t8) (tptp.c_COMBB @t5234 @t5234 @t4579)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2660 @t5235 @t8) @t5233) (tptp.hAPP @t4273 @t57)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4579 @t5068 @t5234) @t5075) @t4851))) @t4854)))) % 53.50/53.74 (assume @p3902 (forall @t73 (=> @t374 (=> @t335 (= @t5249 (tptp.c_List_Oremove1 @t8 @t48 @t5248)))))) % 53.50/53.74 (assume @p3903 (forall @t3095 (=> (tptp.hBOOL (tptp.hAPP @t5230 @t3094)) (=> (forall @t2307 (=> (tptp.hBOOL (tptp.hAPP @t5230 (tptp.hAPP (tptp.hAPP @t2702 @t1415) @t1327))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1599 @t1415) @t1327)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5250) @t1327))) @t2304))) @t3088)))) % 53.50/53.74 (assume @p3904 (forall @t96 (=> @t374 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t30) @t5185)))) % 53.50/53.74 (assume @p3905 (forall @t4694 (and (=> @t4692 (= @t5258 @t5257)) (=> @t4693 (= @t5258 (tptp.c_Option_Ooption_Ooption__case @t5253 @t2660 @t5257 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t49 @t5253) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5254 @t5254) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5256 (tptp.tc_fun @t5254 @t5254) @t8) (tptp.c_COMBB @t5253 @t5253 @t49)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5255 @t5256 @t8) (tptp.c_Product__Type_Oprod_Oprod__case @t4579 @t49 @t5253)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4916 @t5255 @t8) (tptp.hAPP (tptp.c_COMBB @t4579 @t5254 @t4579) @t5252)) @t4890)))) (tptp.hAPP @t5251 @t4690))) @t94)))))) % 53.50/53.74 (assume @p3906 (forall (@list @t25 @t1695 @t48 @t8) (= (tptp.c_List_Osublist @t8 @t5260 @t25) (tptp.hAPP (tptp.hAPP @t5259 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t4579) @t5218) @t5216) @t5185)) (tptp.c_List_Osublist @t8 @t1695 (tptp.hAPP @t4349 (tptp.hAPP @t4354 @t25))))))) % 53.50/53.74 (assume @p3907 (forall (@list @t57 @t4851 @t48 @t4854 @t8) (= (= @t5265 @t5263) (and @t4955 @t165)))) % 53.50/53.74 (assume @p3908 (forall (@list @t4965 @t4851 @t4854 @t48 @t8) (= (= @t4910 @t5271) (or (and @t5270 (= @t4910 @t4965)) (exists @t5269 (and (= @t5268 @t4851) (= @t4854 @t5267))))))) % 53.50/53.74 (assume @p3909 (forall (@list @t4854 @t48 @t4965 @t4851 @t8) (= (= @t5271 @t4910) (or (and @t5270 (= @t4965 @t4910)) (exists @t5269 (and (= @t4851 @t5268) (= @t5267 @t4854))))))) % 53.50/53.74 (assume @p3910 (forall (@list @t5203 @t4844 @t4843 @t5274 @t97 @t98) (=> (= (tptp.hAPP @t4894 @t5274) @t4843) (=> (= @t4844 (tptp.hAPP @t5275 @t5203)) (= @t4901 @t5273))))) % 53.50/53.74 (assume @p3911 (forall @t5278 (= (tptp.hAPP (tptp.hAPP @t5272 @t4901) @t4843) (tptp.hAPP @t4894 @t5277)))) % 53.50/53.74 (assume @p3912 (forall (@list @t25 @t4851 @t4854 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4914 @t5280) @t4977)) (and @t4981 (tptp.hBOOL (tptp.hAPP @t5279 @t4977)))))) % 53.50/53.74 (assume @p3913 (forall (@list @t5203 @t4843 @t4844 @t98) (= (tptp.hAPP (tptp.hAPP @t5272 @t5277) @t5203) (tptp.hAPP @t5276 @t5273)))) % 53.50/53.74 (assume @p3914 (forall (@list @t15 @t4965 @t4851 @t4854 @t8) (= (= @t5280 (tptp.hAPP @t5283 @t15)) (exists (@list @t5281) (or (and (= @t4854 (tptp.hAPP @t5283 @t5281)) (= (tptp.hAPP @t5282 @t4851) @t15)) (and (= (tptp.hAPP @t5264 @t5281) @t4965) (= @t4851 (tptp.hAPP @t5282 @t15)))))))) % 53.50/53.74 (assume @p3915 (forall @t5285 (= (= @t5280 (tptp.hAPP @t5264 @t4965)) @t5284))) % 53.50/53.74 (assume @p3916 (forall (@list @t4965 @t4854 @t4851 @t8) (= (= (tptp.hAPP @t5262 @t4854) (tptp.hAPP @t5283 @t4854)) @t5284))) % 53.50/53.74 (assume @p3917 (forall (@list @t5286 @t4843 @t5203 @t5274 @t4844 @t98) (=> (= (tptp.hAPP @t5276 @t5274) @t5203) (=> (= @t4843 (tptp.hAPP @t5275 @t5286)) (= @t5277 (tptp.hAPP (tptp.hAPP @t5272 @t5203) @t5286)))))) % 53.50/53.74 (assume @p3918 (forall @t4850 (=> @t1180 (= (tptp.hAPP @t5106 @t5277) (tptp.hAPP (tptp.hAPP @t834 @t5107) (tptp.hAPP @t5106 @t4843)))))) % 53.50/53.74 (assume @p3919 (forall @t4850 (= (tptp.hAPP @t4847 @t5277) @t5288))) % 53.50/53.74 (assume @p3920 (forall (@list @t5289 @t4843 @t5286 @t8 @t4844 @t98) (=> (= @t4849 (tptp.hAPP @t4841 @t5286)) (=> (= @t4848 (tptp.hAPP @t4841 @t5289)) (= (tptp.hAPP @t5292 (tptp.hAPP (tptp.hAPP @t5259 @t5286) @t5289)) (tptp.hAPP (tptp.hAPP @t5291 (tptp.hAPP @t5082 @t5286)) (tptp.hAPP @t5290 @t5289))))))) % 53.50/53.74 (assume @p3921 (forall @t5295 (= (tptp.hAPP @t5012 @t5280) @t5294))) % 53.50/53.74 (assume @p3922 (forall (@list @t98 @t4843 @t4844) (=> @t4845 (= @t4844 @t5296)))) % 53.50/53.74 (assume @p3923 (forall @t5295 (= (= @t5280 @t4851) @t5186))) % 53.50/53.74 (assume @p3924 (forall @t5295 (= (= @t5280 @t4854) @t5270))) % 53.50/53.74 (assume @p3925 (forall @t5295 (= (= @t5280 @t5185) @t5297))) % 53.50/53.74 (assume @p3926 (forall (@list @t4854 @t8 @t4851) (= (= @t4851 @t5280) @t5186))) % 53.50/53.74 (assume @p3927 (forall (@list @t4851 @t8 @t4854) (= (= @t4854 @t5280) @t5270))) % 53.50/53.74 (assume @p3928 (forall @t5157 (= (tptp.hAPP @t5276 @t5184) @t4844))) % 53.50/53.74 (assume @p3929 (forall @t5295 (= (= @t5185 @t5280) @t5297))) % 53.50/53.74 (assume @p3930 (forall @t5298 (= @t5296 @t4843))) % 53.50/53.74 (assume @p3931 (forall @t5302 (and (=> @t5300 (= @t5299 @t5129)) (=> @t5301 (= @t5299 (tptp.hAPP @t5276 (tptp.c_List_Obutlast @t98 @t4843))))))) % 53.50/53.74 (assume @p3932 (forall (@list @t4843 @t97 @t4844 @t98) (= (tptp.hAPP (tptp.hAPP @t4995 @t5303) @t4849) @t97))) % 53.50/53.74 (assume @p3933 (forall (@list @t658 @t4843 @t4844 @t98) (= (tptp.hAPP @t5304 (tptp.hAPP @t5287 @t658)) (tptp.hAPP @t5178 @t658)))) % 53.50/53.74 (assume @p3934 (forall @t5307 (= (tptp.hAPP @t5020 @t5277) (tptp.hAPP @t5306 (tptp.hAPP (tptp.hAPP @t5019 @t5305) @t4843))))) % 53.50/53.74 (assume @p3935 (forall (@list @t97 @t4843 @t4844 @t98 @t730) (=> @t5094 (= (tptp.hAPP (tptp.hAPP @t5308 @t730) @t97) (tptp.hAPP (tptp.hAPP @t5272 @t5121) @t4843))))) % 53.50/53.74 (assume @p3936 (forall (@list @t152 @t4843 @t97 @t4844 @t98) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t98 @t5303) @t4849) @t152) (tptp.hAPP @t5276 @t5309)))) % 53.50/53.74 (assume @p3937 (forall @t5311 (and (=> @t5031 (= @t5310 (tptp.hAPP (tptp.hAPP @t5259 @t5181) @t4851))) (=> @t5035 (= @t5310 (tptp.hAPP @t5264 (tptp.c_List_Oremove1 @t8 @t48 @t4851))))))) % 53.50/53.74 (assume @p3938 (forall @t5311 (=> (or @t5150 (tptp.hBOOL (tptp.hAPP @t148 (tptp.hAPP @t5012 @t5312)))) (tptp.hBOOL (tptp.hAPP @t148 (tptp.hAPP @t5012 (tptp.c_List_Obutlast @t8 @t5280))))))) % 53.50/53.74 (assume @p3939 (forall @t5194 (= (tptp.c_List_Obutlast @t98 @t5313) @t4844))) % 53.50/53.74 (assume @p3940 (forall (@list @t5314 @t5315 @t2067 @t4851 @t4854 @t8) (=> (or (and @t4952 (= @t5315 @t5314)) (and @t4955 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP (tptp.hAPP @t4856 @t5315) @t5314)) @t4939)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP (tptp.hAPP @t4856 @t5316) (tptp.hAPP @t5262 @t5314))) @t4939))))) % 53.50/53.74 (assume @p3941 (forall (@list @t48 @t2067 @t1088 @t1024 @t8) (=> @t5319 @t5318))) % 53.50/53.74 (assume @p3942 (forall @t5295 (= (tptp.hBOOL (tptp.hAPP @t5158 @t5280)) (and @t5160 @t5320 (= (tptp.hAPP (tptp.hAPP @t486 @t5014) @t5293) @t30))))) % 53.50/53.74 (assume @p3943 (forall (@list @t4843 @t4844 @t98 @t658) (and (=> @t5156 (= @t5321 @t4997)) (=> @t5322 (= @t5321 (tptp.hAPP @t5178 @t5305)))))) % 53.50/53.74 (assume @p3944 (forall (@list @t97 @t4843 @t4844 @t98 @t658) (and (=> @t5156 (= @t5323 (tptp.hAPP (tptp.hAPP @t5272 (tptp.hAPP (tptp.hAPP @t5119 @t658) @t97)) @t4843))) (=> @t5322 (= @t5323 (tptp.hAPP @t5276 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t98 @t4843) @t5305) @t97))))))) % 53.50/53.74 (assume @p3945 (forall (@list @t25 @t5324 @t1695 @t8) (= (tptp.c_List_Osublist @t8 (tptp.hAPP (tptp.hAPP @t5259 @t1695) @t5324) @t25) (tptp.hAPP (tptp.hAPP @t5259 (tptp.c_List_Osublist @t8 @t1695 @t25)) (tptp.c_List_Osublist @t8 @t5324 (tptp.hAPP @t4349 (tptp.hAPP (tptp.hAPP @t4345 (tptp.hAPP @t4353 (tptp.hAPP @t3332 (tptp.hAPP @t4841 @t1695)))) @t25))))))) % 53.50/53.74 (assume @p3946 (forall (@list @t4851 @t5314 @t5315 @t4854 @t2067 @t57 @t48 @t8) (=> @t4053 (=> (= @t4854 (tptp.hAPP @t5325 (tptp.hAPP @t4909 @t5314))) (=> (= @t4851 (tptp.hAPP @t5325 (tptp.hAPP @t4907 @t5314))) @t4952))))) % 53.50/53.74 (assume @p3947 (forall (@list @t57 @t48 @t1024 @t2067 @t33 @t13 @t8) (=> @t4041 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP (tptp.hAPP @t4856 (tptp.hAPP @t5326 @t4935)) (tptp.hAPP @t5326 @t4934))) @t4930))))) % 53.50/53.74 (assume @p3948 (forall @t5329 (=> @t5094 (= (tptp.hAPP (tptp.hAPP @t5019 @t763) @t4844) (tptp.hAPP @t5328 (tptp.hAPP @t5327 @t5184)))))) % 53.50/53.74 (assume @p3949 (forall (@list @t2067 @t57 @t4851 @t48 @t4854 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP (tptp.hAPP @t4856 @t5265) @t5263)) @t4939)) (or (and @t4952 @t165) (and @t4955 @t4053))))) % 53.50/53.74 (assume @p3950 (forall @t4954 (=> @t4952 (not (forall @t435 (=> @t4092 (forall @t5331 (=> (= @t4854 (tptp.hAPP @t5282 (tptp.hAPP @t4969 @t5330))) (not (= @t4851 (tptp.hAPP @t5282 (tptp.hAPP @t4976 @t5330)))))))))))) % 53.50/53.74 (assume @p3951 (forall (@list @t2067 @t1088 @t1024 @t48 @t8) (=> @t5318 (=> (forall @t4306 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t4990 @t440)) @t2067)))) @t5319)))) % 53.50/53.74 (assume @p3952 (forall @t5015 (= @t5335 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4579 @t8 @t5185 (tptp.hAPP (tptp.hAPP @t5333 @t5332) @t5227)) @t4854)))) % 53.50/53.74 (assume @p3953 (forall (@list @t197 @t4844 @t98 @t730) (=> @t5094 (= (tptp.hAPP @t5120 @t197) (tptp.hAPP @t5328 (tptp.hAPP @t4905 @t5337)))))) % 53.50/53.74 (assume @p3954 (forall @t5039 (= (tptp.hAPP @t5306 @t5339) @t4844))) % 53.50/53.74 (assume @p3955 (forall @t5037 (= (tptp.hAPP @t5340 @t4901) @t5339))) % 53.50/53.74 (assume @p3956 (forall @t4902 (= (tptp.hAPP (tptp.hAPP @t5336 @t638) @t4901) @t4844))) % 53.50/53.74 (assume @p3957 (forall (@list @t4843 @t152 @t4844 @t658 @t98) (=> (= @t5339 @t5309) (= @t4997 @t152)))) % 53.50/53.74 (assume @p3958 (forall @t5015 (= (tptp.hBOOL (tptp.hAPP @t5158 @t5335)) @t5160))) % 53.50/53.74 (assume @p3959 (forall @t5123 (=> @t5165 (tptp.hBOOL (tptp.hAPP @t5164 @t5342))))) % 53.50/53.74 (assume @p3960 (forall @t5039 (= @t5344 @t5343))) % 53.50/53.74 (assume @p3961 (forall @t5039 (= @t5343 @t5344))) % 53.50/53.74 (assume @p3962 (forall @t5041 (= (tptp.hAPP @t5338 @t5040) (tptp.hAPP (tptp.hAPP @t5019 @t685) @t5339)))) % 53.50/53.74 (assume @p3963 (forall @t5041 (= (tptp.hAPP @t5020 @t5346) (tptp.hAPP @t5345 (tptp.hAPP (tptp.hAPP @t5019 @t833) @t4844))))) % 53.50/53.74 (assume @p3964 (forall @t5157 (= (tptp.hAPP (tptp.hAPP @t5336 @t1157) @t4844) @t4844))) % 53.50/53.74 (assume @p3965 (forall @t5041 (= (tptp.hAPP @t5338 @t5346) (tptp.hAPP (tptp.hAPP @t5336 @t833) @t4844)))) % 53.50/53.74 (assume @p3966 (forall @t5085 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t5084) @t658) @t5083) (tptp.hAPP (tptp.hAPP @t5081 @t5339) (tptp.hAPP (tptp.hAPP @t5347 @t658) @t4843))))) % 53.50/53.74 (assume @p3967 (forall @t5157 (= (tptp.hAPP @t4847 @t5349) @t4849))) % 53.50/53.74 (assume @p3968 (forall @t5039 (= (tptp.hAPP @t4847 @t5339) (tptp.hAPP @t5133 @t658)))) % 53.50/53.74 (assume @p3969 (forall @t5015 (= (tptp.hAPP @t5012 @t5335) @t5014))) % 53.50/53.74 (assume @p3970 (forall @t5034 (=> (tptp.hBOOL (tptp.hAPP @t148 @t5352)) @t5031))) % 53.50/53.74 (assume @p3971 (forall @t5027 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t5352) @t5014)))) % 53.50/53.74 (assume @p3972 (forall @t5015 (= (= @t5335 @t5185) @t5186))) % 53.50/53.74 (assume @p3973 (forall @t1881 (= (tptp.hAPP @t5338 @t5184) @t5184))) % 53.50/53.74 (assume @p3974 (forall (@list @t4854 @t8 @t673 @t672) (=> @t777 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP @t5012 (tptp.hAPP (tptp.hAPP @t5347 @t673) @t4854))) @t5352))))) % 53.50/53.74 (assume @p3975 (forall @t5023 (=> @t5022 (= @t5339 @t5184)))) % 53.50/53.74 (assume @p3976 (forall @t5027 (= (= @t5351 @t5185) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t4855) @t672))))) % 53.50/53.74 (assume @p3977 (forall @t5307 (= (tptp.hAPP @t5338 @t5277) (tptp.hAPP (tptp.hAPP @t5272 @t5339) (tptp.hAPP (tptp.hAPP @t5336 @t5305) @t4843))))) % 53.50/53.74 (assume @p3978 (forall @t5285 (= (= @t5280 @t4965) (and (= @t4854 (tptp.hAPP (tptp.hAPP @t5004 @t4855) @t4965)) (= @t4851 (tptp.hAPP (tptp.hAPP @t5347 @t4855) @t4965)))))) % 53.50/53.74 (assume @p3979 (forall @t5213 (= (tptp.hAPP @t5350 @t4910) (tptp.c_Nat_Onat_Onat__case @t4579 @t4910 (tptp.hAPP (tptp.hAPP @t5212 @t5347) @t4854) @t672)))) % 53.50/53.74 (assume @p3980 (forall @t5000 (and (=> @t1204 (= @t5353 @t4901)) (=> @t1205 (= @t5353 (tptp.hAPP (tptp.hAPP @t5336 @t1385) @t4844)))))) % 53.50/53.74 (assume @p3981 (forall (@list @t4844 @t98 @t730 @t658) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t5354) @t4849)) (= (tptp.hAPP (tptp.hAPP @t4995 @t5339) @t730) (tptp.hAPP @t4996 @t5354))))) % 53.50/53.74 (assume @p3982 (forall (@list @t5355 @t5358 @t5356 @t5357 @t8) (= (= (tptp.hAPP (tptp.hAPP @t5259 @t5357) @t5356) (tptp.hAPP (tptp.hAPP @t5259 @t5358) @t5355)) (and (=> @t5361 (and (= @t5357 (tptp.hAPP (tptp.hAPP @t5004 @t5360) @t5358)) (= @t5356 (tptp.hAPP (tptp.hAPP @t5259 (tptp.hAPP (tptp.hAPP @t5347 @t5360) @t5358)) @t5355)))) (=> (not @t5361) (and (= (tptp.hAPP (tptp.hAPP @t5004 @t5359) @t5357) @t5358) (= (tptp.hAPP (tptp.hAPP @t5259 (tptp.hAPP (tptp.hAPP @t5347 @t5359) @t5357)) @t5356) @t5355))))))) % 53.50/53.74 (assume @p3983 (forall @t5329 (=> @t5094 (= @t5362 @t5342)))) % 53.50/53.74 (assume @p3984 (forall (@list @t4844 @t97 @t8 @t98) (and (= (tptp.hAPP @t5348 @t5184) @t5184) (= (tptp.hAPP @t5334 (tptp.hAPP @t5363 @t4844)) (tptp.hAPP (tptp.hAPP @t5259 @t4844) (tptp.hAPP @t5363 @t5185)))))) % 53.50/53.74 (assume @p3985 (forall @t5003 (and (=> @t1943 (= @t5364 @t4901)) (=> @t5002 (= @t5364 (tptp.hAPP (tptp.hAPP @t5336 @t1535) @t4844)))))) % 53.50/53.74 (assume @p3986 (forall (@list @t4844 @t98 @t727 @t730) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t922) @t4849)) (= (tptp.hAPP (tptp.hAPP @t5019 @t922) @t4844) (tptp.hAPP @t5328 (tptp.hAPP (tptp.hAPP @t5019 @t727) @t5342)))))) % 53.50/53.74 (assume @p3987 (forall @t5157 (=> @t5365 (= @t5349 @t4844)))) % 53.50/53.74 (assume @p3988 (forall @t5366 (= (tptp.hAPP @t5082 (tptp.hAPP (tptp.hAPP @t5259 @t4843) @t5203)) (tptp.hAPP (tptp.hAPP @t5291 (tptp.hAPP (tptp.hAPP @t5081 (tptp.hAPP (tptp.hAPP @t5019 @t5086) @t4844)) @t4843)) (tptp.hAPP (tptp.hAPP @t5081 (tptp.hAPP (tptp.hAPP @t5336 @t5086) @t4844)) @t5203))))) % 53.50/53.74 (assume @p3989 (forall @t5366 (= (tptp.hAPP @t5292 @t5203) (tptp.hAPP (tptp.hAPP @t5291 (tptp.hAPP @t5082 (tptp.hAPP (tptp.hAPP @t5004 @t4849) @t5203))) (tptp.hAPP @t5290 (tptp.hAPP (tptp.hAPP @t5347 @t4849) @t5203)))))) % 53.50/53.74 (assume @p3990 (forall @t5329 (=> @t5094 (= @t4844 (tptp.hAPP @t5328 @t5362))))) % 53.50/53.74 (assume @p3991 (forall @t5118 (=> @t5156 (= (tptp.hAPP @t5306 (tptp.hAPP (tptp.hAPP @t4893 @t5369) @t5184)) @t5367)))) % 53.50/53.74 (assume @p3992 (forall @t5370 (=> @t5191 (=> @t5156 (= @t5369 @t4997))))) % 53.50/53.74 (assume @p3993 (forall @t4902 (= (tptp.hAPP @t5368 @t4901) @t97))) % 53.50/53.74 (assume @p3994 (forall @t5374 (and (=> @t5190 (= @t5372 (tptp.hAPP @t5368 @t4843))) @t5373))) % 53.50/53.74 (assume @p3995 (forall @t5374 @t5373)) % 53.50/53.74 (assume @p3996 (forall @t5377 (=> @t5209 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t5376) @t5014))))) % 53.50/53.74 (assume @p3997 (forall @t5192 (=> @t5191 (= @t5371 (tptp.hAPP @t4996 @t1157))))) % 53.50/53.74 (assume @p3998 (forall @t5192 (=> @t5191 (= @t5349 (tptp.hAPP @t5381 (tptp.hAPP @t5378 @t5184)))))) % 53.50/53.74 (assume @p3999 (forall @t5370 (=> @t5191 (= (tptp.hAPP @t5368 @t5384) (tptp.hAPP @t4996 @t5382))))) % 53.50/53.74 (assume @p4000 (forall @t5039 (= @t5386 @t5385))) % 53.50/53.74 (assume @p4001 (forall @t5039 (= @t5385 @t5386))) % 53.50/53.74 (assume @p4002 (forall @t4902 (= (tptp.hAPP @t5379 @t4901) @t4844))) % 53.50/53.74 (assume @p4003 (forall @t5027 (= (tptp.hBOOL (tptp.hAPP @t5158 @t5388)) @t5160))) % 53.50/53.74 (assume @p4004 (forall @t5157 (=> @t5165 (tptp.hBOOL (tptp.hAPP @t5164 @t5380))))) % 53.50/53.74 (assume @p4005 (forall (@list @t4844 @t658 @t662 @t98) (= (tptp.hAPP (tptp.c_List_Orotate @t98 @t662) @t5384) (tptp.hAPP (tptp.c_List_Orotate @t98 @t818) @t4844)))) % 53.50/53.74 (assume @p4006 (forall @t96 (= (tptp.c_List_Orotate @t8 @t1157) @t5389))) % 53.50/53.74 (assume @p4007 (forall @t1852 (= (tptp.c_List_Orotate @t8 @t1211) (tptp.hAPP (tptp.c_Fun_Ocomp @t4579 @t4579 @t4579 (tptp.c_List_Orotate @t8 @t673)) @t5387)))) % 53.50/53.74 (assume @p4008 (forall @t5039 (= (tptp.hAPP @t4847 @t5384) @t4849))) % 53.50/53.74 (assume @p4009 (forall @t5027 (= (tptp.hAPP @t5012 @t5388) @t5014))) % 53.50/53.74 (assume @p4010 (forall @t5027 (= (= @t5388 @t5185) @t5186))) % 53.50/53.74 (assume @p4011 (forall @t1198 (= (tptp.hAPP @t5379 @t5184) @t5184))) % 53.50/53.74 (assume @p4012 (forall @t5039 (= @t5390 (tptp.hAPP @t5383 @t5349)))) % 53.50/53.74 (assume @p4013 (forall @t1889 (= @t5387 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t4579 @t4579) @t672) @t5334)))) % 53.50/53.74 (assume @p4014 (forall @t5374 (=> @t5191 (= (tptp.hAPP @t5379 @t5277) (tptp.hAPP @t5381 @t4843))))) % 53.50/53.74 (assume @p4015 (forall @t5039 (= @t5391 (tptp.hAPP @t5379 @t5367)))) % 53.50/53.74 (assume @p4016 (forall @t5039 (= @t5384 (tptp.hAPP (tptp.c_List_Orotate @t98 @t5382) @t4844)))) % 53.50/53.74 (assume @p4017 (forall @t5039 (= (tptp.hAPP @t5340 @t4844) @t5385))) % 53.50/53.74 (assume @p4018 (forall @t5039 (= (tptp.hAPP (tptp.c_List_Orotate @t98 @t659) @t4844) @t5390))) % 53.50/53.74 (assume @p4019 (forall @t5295 (= (tptp.hAPP @t5392 @t5280) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4579 @t8 (tptp.hAPP @t5392 @t4851) (tptp.hAPP (tptp.c_COMBK @t4916 @t8) (tptp.hAPP @t5332 @t4851))) @t4854)))) % 53.50/53.74 (assume @p4020 (forall @t5118 (=> (= @t5382 @t1157) @t5393))) % 53.50/53.74 (assume @p4021 (forall @t5023 (=> @t5365 @t5393))) % 53.50/53.74 (assume @p4022 (forall @t5157 (= (tptp.hAPP @t4847 @t5380) @t5134))) % 53.50/53.74 (assume @p4023 (forall @t5039 (= (tptp.hAPP @t5379 @t5021) (tptp.hAPP @t5116 @t5380)))) % 53.50/53.74 (assume @p4024 (forall @t5370 (=> @t5191 (= @t5367 (tptp.hAPP @t5378 @t5391))))) % 53.50/53.74 (assume @p4025 (forall @t5039 (= @t5384 (tptp.hAPP (tptp.hAPP @t5272 (tptp.hAPP (tptp.hAPP @t5336 @t5382) @t4844)) (tptp.hAPP (tptp.hAPP @t5019 @t5382) @t4844))))) % 53.50/53.74 (assume @p4026 (forall @t5015 (=> @t482 (=> @t5209 (= (tptp.hAPP @t469 @t5014) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t465 @t5376) (tptp.hAPP @t5392 @t4854))))))) % 53.50/53.74 (assume @p4027 (forall (@list @t2067 @t48 @t8 @t57) (=> (exists (@list @t1391 @t1529) (= @t57 (tptp.hAPP (tptp.hAPP @t4890 @t1391) @t1529))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4931 (tptp.hAPP @t5317 @t57))) @t4930))))) % 53.50/53.74 (assume @p4028 (forall @t4207 (= (tptp.hAPP @t5394 @t5242) @t13))) % 53.50/53.74 (assume @p4029 (forall (@list @t5101 @t672 @t673) (=> @t699 (tptp.hBOOL (tptp.hAPP @t698 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t796 @t672) @t5101)))))) % 53.50/53.74 (assume @p4030 (forall (@list @t4965 @t48 @t8) (=> @t5396 (= (tptp.hAPP @t1244 (tptp.hAPP @t5395 @t4965)) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t844 @t48) @t4965))))) % 53.50/53.74 (assume @p4031 (forall @t5397 (=> (tptp.class_Groups_Osemigroup__add @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t844 @t1245) @t4965) (tptp.hAPP @t1244 (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t844 @t57) @t4965)))))) % 53.50/53.74 (assume @p4032 (forall (@list @t4854 @t48 @t13 @t2 @t49 @t8) (= (tptp.hAPP @t5394 @t5399) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t49 @t2 (tptp.hAPP @t794 @t48)) @t4854)))) % 53.50/53.74 (assume @p4033 (forall (@list @t4851 @t4854 @t13 @t2 @t49 @t8) (= (tptp.hAPP @t5394 @t5402) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t49 @t2 @t5400) @t4851)))) % 53.50/53.74 (assume @p4034 (forall @t96 (=> @t5396 (= @t5097 @t5395)))) % 53.50/53.74 (assume @p4035 (forall (@list @t5101 @t673) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t796 @t673) @t5101) @t1157) (and @t1210 @t5104)))) % 53.50/53.74 (assume @p4036 (forall @t5405 (=> @t233 (= @t5404 (tptp.hAPP @t5403 @t4854))))) % 53.50/53.74 (assume @p4037 (forall @t5015 (=> @t814 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t5014) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t137 @t47) @t4854))))) % 53.50/53.74 (assume @p4038 (forall @t5015 (=> @t814 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t5014) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t528 @t2659) @t4854))))) % 53.50/53.74 (assume @p4039 (forall @t4929 (=> @t268 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t5016) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t137 @t48) @t4854))))) % 53.50/53.74 (assume @p4040 (forall @t4929 (=> @t268 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t5016) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t528 @t48) @t4854))))) % 53.50/53.74 (assume @p4041 (forall @t4929 (=> @t374 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t5016) @t5406)))) % 53.50/53.74 (assume @p4042 (forall @t4929 (=> @t374 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t5016) @t5407)))) % 53.50/53.74 (assume @p4043 (forall @t4929 (=> @t374 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t1545 @t5016) @t5406)))) % 53.50/53.74 (assume @p4044 (forall @t4929 (=> @t374 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t3251 @t5016) @t5407)))) % 53.50/53.74 (assume @p4045 (forall @t5409 (=> @t814 (= (tptp.hAPP (tptp.hAPP @t3696 @t5408) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t49 (tptp.hAPP @t2731 (tptp.hAPP (tptp.hAPP @t2723 @t137) @t2)) @t47) @t4854))))) % 53.50/53.74 (assume @p4046 (forall @t5409 (=> @t814 (= (tptp.hAPP (tptp.hAPP @t3389 @t5408) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t49 (tptp.hAPP @t2731 (tptp.hAPP (tptp.hAPP @t2723 @t528) @t2)) @t2659) @t4854))))) % 53.50/53.74 (assume @p4047 (forall (@list @t5101 @t672) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3205 @t672) @t5103)) (tptp.hBOOL (tptp.hAPP @t776 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t796 @t1157) @t5101)))))) % 53.50/53.74 (assume @p4048 (forall @t73 (=> @t374 (=> @t335 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t55) (tptp.hAPP @t5411 @t5249)))))) % 53.50/53.74 (assume @p4049 (forall (@list @t2067 @t57 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t5187 @t57)) @t4930)) (exists (@list @t440 @t3) (= @t57 (tptp.hAPP @t5412 @t3)))))) % 53.50/53.74 (assume @p4050 (forall (@list @t48 @t2 @t8 @t49) (=> @t5415 (= (tptp.hAPP @t5414 @t5185) @t5216)))) % 53.50/53.74 (assume @p4051 (forall (@list @t4851 @t49 @t57 @t48 @t2 @t8) (=> @t374 (and (=> @t5419 (= @t5418 (tptp.hAPP @t5398 @t5247))) (=> (not @t5419) (= @t5418 (tptp.hAPP @t5246 (tptp.hAPP @t5417 @t4851)))))))) % 53.50/53.74 (assume @p4052 (forall @t5421 (=> @t5415 (= (tptp.hAPP @t5012 @t5420) @t5042)))) % 53.50/53.74 (assume @p4053 (forall @t5421 (=> @t5415 (= (tptp.hAPP @t4841 @t5420) @t5422)))) % 53.50/53.74 (assume @p4054 (forall (@list @t4854 @t57 @t48 @t8) (=> @t374 (= (tptp.hAPP @t5411 (tptp.hAPP @t5424 @t4854)) (tptp.hAPP @t5424 @t5423))))) % 53.50/53.74 (assume @p4055 (forall @t96 (=> @t374 (tptp.c_Finite__Set_Ofun__left__comm @t8 @t4579 @t5410)))) % 53.50/53.74 (assume @p4056 (forall (@list @t4854 @t49 @t57 @t48 @t2 @t8) (=> @t374 (=> @t4112 (= (tptp.hAPP @t5425 @t5426) (tptp.hAPP @t5417 (tptp.hAPP @t5425 @t4854))))))) % 53.50/53.74 (assume @p4057 (forall @t4929 (=> @t374 (= (tptp.c_List_Oremove1 @t8 @t48 @t5423) @t4854)))) % 53.50/53.74 (assume @p4058 (forall (@list @t4854 @t13 @t2 @t8 @t49) (=> @t5415 (not (= @t5428 @t5185))))) % 53.50/53.74 (assume @p4059 (forall @t5421 (=> @t5415 (= (tptp.hBOOL (tptp.hAPP @t5158 @t5420)) @t5168)))) % 53.50/53.74 (assume @p4060 (forall @t5432 (=> @t374 (=> (not @t5431) (= @t5429 @t5426))))) % 53.50/53.74 (assume @p4061 (forall @t4929 (=> @t374 (=> @t5035 (= @t5433 @t5423))))) % 53.50/53.74 (assume @p4062 (forall (@list @t48 @t2 @t4854 @t8 @t49) (=> @t5415 (=> @t5160 (tptp.hBOOL (tptp.hAPP @t5158 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t8 @t49 @t2 @t48 @t4854))))))) % 53.50/53.74 (assume @p4063 (forall @t4929 (=> @t374 (=> @t5031 (= @t5433 @t4854))))) % 53.50/53.74 (assume @p4064 (forall @t4929 (=> @t374 (= (tptp.hAPP @t5012 @t5433) @t5042)))) % 53.50/53.74 (assume @p4065 (forall @t5432 (=> @t374 (=> @t5431 (= @t5429 @t4854))))) % 53.50/53.74 (assume @p4066 (forall (@list @t97 @t726 @t98 @t4844) (=> @t5191 (and (=> @t5135 (= @t5435 @t97)) (=> @t5136 (= @t5435 @t5434)))))) % 53.50/53.74 (assume @p4067 (forall @t5192 (=> @t5191 (= @t5434 (tptp.hAPP @t4996 @t5134))))) % 53.50/53.74 (assume @p4068 (forall @t4903 @t5437)) % 53.50/53.74 (assume @p4069 (forall @t4903 @t5438)) % 53.50/53.74 (assume @p4070 (forall @t4903 (and @t5437 @t5438))) % 53.50/53.74 (assume @p4071 (forall @t5302 @t5440)) % 53.50/53.74 (assume @p4072 (forall @t5302 @t5441)) % 53.50/53.74 (assume @p4073 (forall @t5302 (and @t5440 @t5441))) % 53.50/53.74 (assume @p4074 (forall (@list @t8 @t5442) (=> (not (= @t5442 @t5185)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 (tptp.c_List_Olast @t8 @t5442)) (tptp.hAPP @t5012 @t5442)))))) % 53.50/53.74 (assume @p4075 (forall @t5194 (= (tptp.c_List_Olast @t98 @t5313) @t97))) % 53.50/53.74 (assume @p4076 (forall @t5118 (=> @t5156 (= (tptp.c_List_Olast @t98 @t5339) @t5434)))) % 53.50/53.74 (assume @p4077 (forall (@list @t4851 @t48 @t4854 @t8) (= (= @t5265 @t4851) (and (not @t5270) (= @t5312 @t4854) (= (tptp.c_List_Olast @t8 @t4851) @t48))))) % 53.50/53.74 (assume @p4078 (forall @t5192 (=> @t5191 (= (tptp.hAPP (tptp.hAPP @t5272 @t5129) (tptp.hAPP (tptp.hAPP @t4893 @t5434) @t5184)) @t4844)))) % 53.50/53.74 (assume @p4079 (forall @t31 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4914 @t13) @t4977)) (or @t5444 (exists (@list @t440 @t5443) (and (= @t13 (tptp.hAPP @t5412 @t5443)) @t457 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4914 @t5443) @t4977)))))))) % 53.50/53.74 (assume @p4080 (forall @t5377 (=> @t5209 (= (tptp.c_Random_Oselect__weight @t8 @t5445) @t5231)))) % 53.50/53.74 (assume @p4081 (forall @t1227 (=> @t4114 @t5448))) % 53.50/53.74 (assume @p4082 (forall @t5451 (=> @t5209 (= (tptp.c_List_Olast @t49 @t5450) (tptp.hAPP @t2 @t5449))))) % 53.50/53.74 (assume @p4083 (forall @t96 (= (tptp.hAPP @t5452 @t4485) @t5389))) % 53.50/53.74 (assume @p4084 (forall (@list @t4854 @t2 @t1685 @t13 @t1 @t49 @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t49 @t1 @t13) @t5455) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t1685 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4113 @t2751) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t50 (tptp.tc_fun @t4113 @t2751) @t8) @t3871) @t1)) @t2) @t13) @t4854)))) % 53.50/53.74 (assume @p4085 (forall @t5459 (= (tptp.hAPP @t5457 (tptp.hAPP (tptp.c_List_Otl @t49) @t4854)) (tptp.hAPP @t5392 @t5458)))) % 53.50/53.74 (assume @p4086 (forall @t5460 (= (tptp.hAPP @t5387 @t5458) (tptp.hAPP @t5457 (tptp.hAPP (tptp.c_List_Orotate @t49 @t672) @t4854))))) % 53.50/53.74 (assume @p4087 (forall (@list @t4851 @t2 @t1685 @t4854 @t49 @t8) (= (tptp.hAPP @t5076 (tptp.hAPP @t5454 @t4851)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4321 @t2660) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t1685 @t2660) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4113 @t5461) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2764 (tptp.tc_fun @t4113 @t5461) @t8) (tptp.c_COMBB @t49 @t2660 @t1685)) @t2739)) @t2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t8 @t1685) @t4854) @t4851))))) % 53.50/53.74 (assume @p4088 (forall (@list @t4851 @t1 @t3082 @t4854 @t2 @t8 @t1685 @t49) (= (tptp.hAPP @t5465 (tptp.hAPP (tptp.hAPP @t5464 @t4854) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t3082 @t1685) @t1) @t4851))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4323 @t8) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t49 @t3082 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5462 (tptp.tc_fun @t3082 @t8) @t49) (tptp.hAPP (tptp.c_COMBB @t3081 @t8 @t3082) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 @t5463 @t5462) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3434 (tptp.tc_fun @t5463 @t5462) @t49) (tptp.c_COMBB @t1685 @t3081 @t3082)) @t3069)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t49 @t3082) @t4854) @t4851))))) % 53.50/53.74 (assume @p4089 (forall (@list @t4851 @t4854 @t1 @t3082 @t2 @t8 @t1685 @t49) (= (tptp.hAPP @t5465 (tptp.hAPP (tptp.hAPP @t5464 (tptp.hAPP @t5466 @t4854)) @t4851)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4670 @t8) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3082 @t1685 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3434 @t2751 @t3082) (tptp.hAPP (tptp.c_COMBB @t3081 @t8 @t1685) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t49 @t3434 @t3082) @t3069) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t3082 @t1685) @t4854) @t4851))))) % 53.50/53.74 (assume @p4090 (forall (@list @t4851 @t4854 @t2 @t1685 @t49 @t8) (= (tptp.hAPP @t5469 @t4851) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4494 @t2660) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1685 @t49 @t2660) @t4236)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t1685 @t49) @t4854) @t4851))))) % 53.50/53.74 (assume @p4091 (forall (@list @t4851 @t1 @t3082 @t4854 @t2 @t1685 @t49 @t8) (= (tptp.hAPP @t5469 (tptp.hAPP @t5466 @t4851)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4295 @t2660) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1685 @t3082 @t2660) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1685 @t4696 @t5470) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2764 (tptp.tc_fun @t4696 @t5470) @t1685) (tptp.c_COMBB @t49 @t2660 @t3082)) @t4236)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t1685 @t3082) @t4854) @t4851))))) % 53.50/53.74 (assume @p4092 (forall @t5015 (= @t5088 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 @t2944) @t3837) @t4854)))) % 53.50/53.74 (assume @p4093 (forall @t5472 (= (= @t5185 @t5458) @t5471))) % 53.50/53.74 (assume @p4094 (forall @t3875 (= (tptp.hAPP @t5457 @t5242) @t5185))) % 53.50/53.74 (assume @p4095 (forall @t5459 (= (= @t5458 @t5185) @t5471))) % 53.50/53.74 (assume @p4096 (forall (@list @t57 @t676 @t4854 @t2 @t8 @t49) (= (tptp.hAPP @t5457 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t49 @t4854) @t676) @t57)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5458) @t676) @t643)))) % 53.50/53.74 (assume @p4097 (forall (@list @t1 @t4854 @t2 @t8 @t49) (= (= @t5458 @t5473) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1087 @t5408)) @t6))))) % 53.50/53.74 (assume @p4098 (forall (@list @t4851 @t1 @t1685 @t4854 @t2 @t8 @t49) (=> (= @t5458 (tptp.hAPP (tptp.hAPP @t5467 @t1) @t4851)) (= @t5475 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t5474) @t4851))))) % 53.50/53.74 (assume @p4099 (forall @t5472 (= (tptp.hAPP @t4841 @t5458) @t5475))) % 53.50/53.74 (assume @p4100 (forall @t5478 (=> @t1316 (= (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP @t5456 @t2788) @t4854)) (tptp.hAPP (tptp.hAPP @t844 @t5477) @t5476))))) % 53.50/53.74 (assume @p4101 (forall (@list @t4854 @t49 @t8) (=> @t5396 (= (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP @t5456 @t2782) @t4854)) @t1160)))) % 53.50/53.74 (assume @p4102 (forall (@list @t4854 @t2 @t32 @t49 @t8) (=> @t2775 (= (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP @t5456 (tptp.hAPP (tptp.hAPP @t2716 @t1294) @t2)) @t4854)) (tptp.hAPP @t1294 @t5477))))) % 53.50/53.74 (assume @p4103 (forall (@list @t4854 @t32 @t2 @t49 @t8) (=> @t2775 (= (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP @t5456 (tptp.hAPP @t2776 @t32)) @t4854)) (tptp.hAPP (tptp.hAPP @t465 @t5477) @t32))))) % 53.50/53.74 (assume @p4104 (forall @t5478 (=> @t426 (= (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP @t5456 @t2784) @t4854)) (tptp.hAPP (tptp.hAPP @t267 @t5477) @t5476))))) % 53.50/53.74 (assume @p4105 (forall @t5481 (=> @t4114 @t5480))) % 53.50/53.74 (assume @p4106 (forall @t5484 (=> @t5483 (=> (tptp.c_Fun_Oinj__on @t49 @t8 @t2 @t2653) @t4955)))) % 53.50/53.74 (assume @p4107 (forall @t5015 (= (tptp.hAPP @t5485 @t4854) @t4854))) % 53.50/53.74 (assume @p4108 (forall @t5460 (= (tptp.hAPP @t5024 @t5458) (tptp.hAPP @t5457 (tptp.hAPP @t5487 @t4854))))) % 53.50/53.74 (assume @p4109 (forall @t5459 (= (tptp.hAPP @t5457 (tptp.c_List_Obutlast @t49 @t4854)) (tptp.c_List_Obutlast @t8 @t5458)))) % 53.50/53.74 (assume @p4110 (forall @t5472 (= (tptp.hAPP @t5012 @t5458) @t5430))) % 53.50/53.74 (assume @p4111 (forall @t5421 (= (tptp.hAPP @t5457 @t5399) (tptp.hAPP (tptp.hAPP @t4890 @t94) @t5458)))) % 53.50/53.74 (assume @p4112 (forall @t5484 (= (tptp.hAPP @t5457 @t5402) (tptp.hAPP (tptp.hAPP @t5259 @t5458) @t5482)))) % 53.50/53.74 (assume @p4113 (forall @t5451 (=> @t5209 (= (tptp.hAPP (tptp.c_List_Ohd @t49) @t5450) (tptp.hAPP @t2 @t5376))))) % 53.50/53.74 (assume @p4114 (forall @t5460 (= (tptp.hAPP @t5350 @t5458) (tptp.hAPP @t5457 (tptp.hAPP @t5488 @t4854))))) % 53.50/53.74 (assume @p4115 (forall @t96 (= @t5485 @t5389))) % 53.50/53.74 (assume @p4116 (forall (@list @t4854 @t1 @t1685 @t2 @t8 @t49) (= (tptp.hAPP @t5457 (tptp.hAPP @t5490 @t4854)) (tptp.hAPP @t5489 @t4854)))) % 53.50/53.74 (assume @p4117 (forall (@list @t4898 @t1 @t1685 @t2 @t8 @t49) (= (tptp.hAPP @t5457 (tptp.hAPP @t5490 @t4898)) (tptp.hAPP @t5489 @t4898)))) % 53.50/53.74 (assume @p4118 (forall (@list @t1 @t2 @t8 @t49 @t1685) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5474 @t5068 @t4579 @t5454) (tptp.hAPP (tptp.c_List_Omap @t8 @t1685) @t1)) (tptp.hAPP @t5446 @t4629)))) % 53.50/53.74 (assume @p4119 (forall (@list @t4854 @t1 @t49 @t2 @t8) (= (tptp.c_List_Olist_Olist__size @t8 @t2 @t5473) (tptp.c_List_Olist_Olist__size @t49 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_Nat_Onat @t49 @t2) @t1) @t4854)))) % 53.50/53.74 (assume @p4120 (forall @t5484 (=> @t5483 (=> (tptp.c_Fun_Oinj__on @t49 @t8 @t2 (tptp.hAPP (tptp.hAPP @t490 @t5408) @t5092)) @t4955)))) % 53.50/53.74 (assume @p4121 (forall @t5481 (=> @t5491 @t5480))) % 53.50/53.74 (assume @p4122 (forall (@list @t2 @t49 @t4854 @t8 @t672) (=> @t5057 (= (tptp.hAPP (tptp.hAPP @t5072 @t5450) @t672) (tptp.hAPP @t2 @t5056))))) % 53.50/53.74 (assume @p4123 (forall (@list @t1088 @t2 @t49 @t4854 @t57 @t8) (=> (not @t5030) (= (tptp.hAPP (tptp.hAPP @t5446 (tptp.c_Fun_Ofun__upd @t8 @t49 @t2 @t57 @t1088)) @t4854) @t5450)))) % 53.50/53.74 (assume @p4124 (forall @t5472 (= (tptp.hBOOL (tptp.hAPP @t5158 @t5458)) (and (tptp.hBOOL (tptp.hAPP @t5492 @t4854)) (tptp.c_Fun_Oinj__on @t49 @t8 @t2 @t5408))))) % 53.50/53.74 (assume @p4125 (forall @t5015 (=> @t2003 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 (tptp.hAPP @t2001 @t5098)) (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP @t5452 @t2001) @t4854))))))) % 53.50/53.74 (assume @p4126 (forall @t5472 (=> @t426 (= (tptp.hAPP @t2086 @t5477) (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP @t5456 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t49 @t2086) @t2)) @t4854)))))) % 53.50/53.74 (assume @p4127 (forall @t2720 (=> (tptp.c_Fun_Oinj__on @t8 @t49 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t29 (tptp.hAPP @t5493 @t25))) (tptp.c_Fun_Oinj__on @t4579 @t5068 @t5447 @t25)))) % 53.50/53.74 (assume @p4128 (forall @t1227 (=> @t5448 @t4114))) % 53.50/53.74 (assume @p4129 (forall @t1227 (= @t5448 @t4114))) % 53.50/53.74 (assume @p4130 (forall (@list @t2 @t4854 @t8 @t49) (=> @t1101 (=> @t5160 (= @t5495 (tptp.hAPP @t1091 @t5014)))))) % 53.50/53.74 (assume @p4131 (forall (@list @t4854 @t2067 @t49 @t8) (=> @t1971 (= (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP @t5456 (tptp.hAPP @t2729 @t2067)) @t4854)) (tptp.hAPP (tptp.hAPP @t465 (tptp.hAPP @t1848 @t5475)) @t2067))))) % 53.50/53.74 (assume @p4132 (forall (@list @t2 @t4854 @t48 @t8 @t49) (=> @t1101 (=> @t5031 (= @t5495 (tptp.hAPP (tptp.hAPP @t1099 @t94) (tptp.hAPP @t5494 (tptp.hAPP @t5447 @t5181)))))))) % 53.50/53.74 (assume @p4133 (forall @t1169 (=> @t1101 (and (=> @t335 (= @t5496 (tptp.hAPP @t5494 (tptp.hAPP @t5447 @t5176)))) (=> @t1228 (= @t5496 @t1162)))))) % 53.50/53.74 (assume @p4134 (forall (@list @t4854 @t8 @t1695) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t1695) @t4855)) (= (tptp.hAPP (tptp.c_Random_Opick @t8 @t5445) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1695)) (tptp.hAPP @t4985 @t1695))))) % 53.50/53.74 (assume @p4135 (= @t2077 @t5497)) % 53.50/53.74 (assume @p4136 (forall @t690 (= (tptp.hAPP (tptp.hAPP @t5500 @t5499) @t5498) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t815)))) % 53.50/53.74 (assume @p4137 (forall @t697 (= (= @t5502 @t5501) @t768))) % 53.50/53.74 (assume @p4138 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 53.50/53.74 (assume @p4139 (= @t2061 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t638))) % 53.50/53.74 (assume @p4140 (forall @t697 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2687 @t5502) @t5501)) @t696))) % 53.50/53.74 (assume @p4141 (forall @t1862 (=> (tptp.hBOOL (tptp.hAPP @t3925 @t3220)) (=> @t5504 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t48) @t5503) @t165))))) % 53.50/53.74 (assume @p4142 (forall @t5507 (=> @t5506 (= (tptp.hAPP @t5505 @t5077) @t4854)))) % 53.50/53.74 (assume @p4143 (forall @t5507 (=> @t5506 (= (tptp.hAPP @t5508 @t5077) @t4851)))) % 53.50/53.74 (assume @p4144 (= @t2060 (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))) % 53.50/53.74 (assume @p4145 (forall (@list @t4965 @t49 @t8) (= (tptp.hAPP (tptp.hAPP @t5075 @t5510) @t5509) @t4965))) % 53.50/53.74 (assume @p4146 (forall @t690 (= (tptp.hAPP (tptp.hAPP @t2685 @t5499) @t5498) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t833)))) % 53.50/53.74 (assume @p4147 (forall @t697 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2689 @t5502) @t5501)) @t777))) % 53.50/53.74 (assume @p4148 (forall @t690 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t5499) @t5498) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1212)))) % 53.50/53.74 (assume @p4149 (forall @t5514 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2687 @t972) @t5513)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 (tptp.hAPP @t5512 @t972)) @t5511))))) % 53.50/53.74 (assume @p4150 (forall (@list @t4965 @t4851 @t49 @t4854 @t8) (=> @t5506 (= (= @t5077 @t4965) (and (= @t5510 @t4854) (= @t5509 @t4851)))))) % 53.50/53.74 (assume @p4151 (forall @t5515 (= @t5051 (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t5105 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 tptp.tc_Nat_Onat) @t2) @t4854))) @t4855)))) % 53.50/53.74 (assume @p4152 (forall @t2475 (= (not (= @t972 @t5497)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2689 @t2061) @t972))))) % 53.50/53.74 (assume @p4153 (forall (@list @t971 @t972 @t2 @t8) (=> @t1316 (= (tptp.hAPP @t3977 @t5100) (tptp.hAPP @t5097 (tptp.hAPP @t5516 @t5099)))))) % 53.50/53.74 (assume @p4154 (forall (@list @t1695 @t676 @t2 @t8) (=> @t1316 (= (tptp.hAPP @t5097 (tptp.hAPP @t5516 @t5517)) (tptp.hAPP @t3977 (tptp.hAPP @t5096 @t5517)))))) % 53.50/53.74 (assume @p4155 (forall @t5518 (=> (tptp.hBOOL (tptp.hAPP @t3175 @t5513)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 (tptp.hAPP @t5232 (tptp.hAPP @t4926 @t3148))) @t5511))))) % 53.50/53.74 (assume @p4156 (forall @t5015 (= @t4926 (tptp.hAPP (tptp.hAPP @t5521 (tptp.c_Random_Orange @t5513)) (tptp.hAPP @t5520 @t5512))))) % 53.50/53.74 (assume @p4157 (forall @t5015 (= @t5231 (tptp.hAPP (tptp.hAPP @t5521 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t4855))) (tptp.hAPP @t5520 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Code__Numeral_Ocode__numeral) @t4985) tptp.c_Code__Numeral_Onat__of)))))) % 53.50/53.74 (assume @p4158 (forall (@list @t1 @t2 @t4854 @t8 @t49) (=> (and @t5522 @t1406) (=> (forall @t7 (=> @t5048 @t142)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t141 @t5495) (tptp.hAPP @t5494 (tptp.hAPP (tptp.hAPP @t5446 @t1) @t4854)))))))) % 53.50/53.74 (assume @p4159 (forall @t661 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5499) @t658))) % 53.50/53.74 (assume @p4160 (forall @t1835 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5523) @t726))) % 53.50/53.74 (assume @p4161 (forall @t1968 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t97)) @t97))) % 53.50/53.74 (assume @p4162 (forall @t1862 (= (= @t5524 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t57)) @t165))) % 53.50/53.74 (assume @p4163 (forall @t1701 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t676) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1695)) @t1997))) % 53.50/53.74 (assume @p4164 (forall @t690 (= (tptp.hAPP (tptp.hAPP @t5500 @t658) @t662) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t704 @t5526) @t5525))))) % 53.50/53.74 (assume @p4165 (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 @t3220)) % 53.50/53.74 (assume @p4166 (forall @t697 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2687 @t672) @t673)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t5528) @t5527))))) % 53.50/53.74 (assume @p4167 (forall @t1929 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3205 @t5524) @t3220)))) % 53.50/53.74 (assume @p4168 (forall @t1835 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t2060 @t726)) (tptp.hAPP @t1533 @t726)))) % 53.50/53.74 (assume @p4169 (= 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 @t1853) tptp.c_Code__Numeral_Onat__of))) % 53.50/53.74 (assume @p4170 (forall @t697 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2689 @t672) @t673)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t5528) @t5527))))) % 53.50/53.74 (assume @p4171 (forall @t2163 (= @t5529 (tptp.c_Code__Numeral_Onat__of__aux @t730 @t1157)))) % 53.50/53.74 (assume @p4172 (forall @t788 (= @t2360 (tptp.hAPP (tptp.hAPP @t796 @t5529) @t658)))) % 53.50/53.74 (assume @p4173 (forall @t1835 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t726) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t5523))))) % 53.50/53.74 (assume @p4174 (forall @t690 (= @t2691 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t541 @t5526) @t5525))))) % 53.50/53.74 (assume @p4175 (forall @t4210 (=> @t5504 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5503) @t57)))) % 53.50/53.74 (assume @p4176 (forall @t690 (= (tptp.hAPP (tptp.hAPP @t2685 @t658) @t662) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t796 @t5526) @t5525))))) % 53.50/53.74 (assume @p4177 (forall @t690 (= @t2959 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t2384 @t5526) @t5525))))) % 53.50/53.74 (assume @p4178 (forall @t690 (= @t2958 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t5526 @t5525))))) % 53.50/53.74 (assume @p4179 (forall @t1835 (=> (not (= @t726 @t5497)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 (tptp.hAPP (tptp.hAPP @t541 @t5523) @t1322)) @t5523))))) % 53.50/53.74 (assume @p4180 (forall (@list @t972 @t5530) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t5530) @t972) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t5530 (tptp.hAPP (tptp.hAPP @t5500 (tptp.hAPP @t2060 @t2051)) @t972)))))) % 53.50/53.74 (assume @p4181 (forall @t5537 (=> @t5536 (= (tptp.hAPP (tptp.hAPP @t83 @t5534) @t5532) @t5014)))) % 53.50/53.74 (assume @p4182 (forall @t5537 (=> @t5536 (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t181 @t5534)) @t180)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t181 @t5532)) @t4390)))))) % 53.50/53.74 (assume @p4183 (forall @t4382 (= (tptp.c_List_Opartition @t8 @t178 @t5185) @t5211))) % 53.50/53.74 (assume @p4184 (forall @t5540 (= (tptp.c_List_Opartition @t8 @t178 @t4910) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4579 @t4579 @t4586) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4579 @t4862 @t4862) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5539 (tptp.tc_fun @t4862 @t4862) @t4579) (tptp.c_COMBS @t4579 @t4586 @t4586)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4862 @t5539 @t4579) (tptp.hAPP (tptp.c_COMBB @t4586 @t5538 @t4579) (tptp.hAPP (tptp.c_If @t4586) @t309))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4579 @t4862 @t4579) @t4856) @t4909)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4579 @t4916 @t4862) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4862 (tptp.tc_fun @t4916 @t4862) @t4579) (tptp.c_COMBB @t4579 @t4586 @t4579)) @t4856)) @t4909))) @t5535)))) % 53.50/53.74 (assume @p4185 (forall (@list @t88 @t25 @t1695 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5542 @t4977)) (=> (tptp.hBOOL (tptp.hAPP @t5542 @t4979)) (tptp.hBOOL (tptp.hAPP @t5541 @t1695)))))) % 53.50/53.74 (assume @p4186 (forall @t116 (= @t5541 (tptp.hAPP (tptp.hAPP @t5543 (tptp.hAPP @t4915 @t4977)) (tptp.hAPP @t4915 @t4979))))) % 53.50/53.74 (assume @p4187 (forall @t135 (tptp.hBOOL (tptp.hAPP @t5544 @t5185)))) % 53.50/53.74 (assume @p4188 (forall (@list @t4854 @t25 @t8) (= @t5545 (forall @t7 (=> @t5048 @t4594))))) % 53.50/53.74 (assume @p4189 (forall @t191 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t8 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t3893 @t25)) @t88)) @t48)) (and (tptp.hBOOL (tptp.hAPP @t5544 @t48)) (tptp.hBOOL (tptp.hAPP @t5546 @t48)))))) % 53.50/53.74 (assume @p4190 (forall @t116 (= @t5547 (tptp.hAPP (tptp.hAPP @t5543 @t5544) @t5546)))) % 53.50/53.74 (assume @p4191 (forall (@list @t88 @t1695 @t25 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5544 @t1695)) (=> (tptp.hBOOL (tptp.hAPP @t5546 @t1695)) (tptp.hBOOL (tptp.hAPP @t5547 @t1695)))))) % 53.50/53.74 (assume @p4192 (forall (@list @t405 @t406 @t25 @t8) (= (tptp.hBOOL (tptp.hAPP @t5544 (tptp.hAPP @t4973 @t405))) (and (tptp.hBOOL (tptp.hAPP @t25 @t406)) (tptp.hBOOL (tptp.hAPP @t5544 @t405)))))) % 53.50/53.74 (assume @p4193 (forall (@list @t4851 @t4854 @t25 @t8) (= (tptp.hBOOL (tptp.hAPP @t5544 @t5280)) (and @t5545 (tptp.hBOOL (tptp.hAPP @t5544 @t4851)))))) % 53.50/53.74 (assume @p4194 (forall @t116 (=> @t115 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4980 @t5544) @t5546))))) % 53.50/53.74 (assume @p4195 (forall @t73 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t8 @t2834) @t48)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4914 @t48) @t4977))))) % 53.50/53.74 (assume @p4196 (forall @t5238 (= (tptp.c_Enum_Oproduct @t8 @t49 @t4910 @t4851) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t2660) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t49 @t2660) @t2740) @t4851)) @t5548)))) % 53.50/53.74 (assume @p4197 (forall @t5552 (= @t5551 (and @t5506 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5550 @t5079)) @t5549)))))) % 53.50/53.74 (assume @p4198 (forall (@list @t5553 @t5442 @t2 @t1685 @t178 @t49 @t8) (= (tptp.c_List_Olist__all2 @t8 @t49 @t178 (tptp.hAPP @t5468 @t5442) @t5553) (tptp.c_List_Olist__all2 @t1685 @t49 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t80 @t1685) @t178) @t2) @t5442 @t5553)))) % 53.50/53.74 (assume @p4199 (forall (@list @t5553 @t2 @t1685 @t5442 @t178 @t49 @t8) (= (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t5442 (tptp.hAPP @t5454 @t5553)) (tptp.c_List_Olist__all2 @t8 @t1685 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4113 @t2750) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 (tptp.tc_fun @t4113 @t2750) @t8) (tptp.c_COMBB @t49 tptp.tc_HOL_Obool @t1685)) @t178)) @t2) @t5442 @t5553)))) % 53.50/53.74 (assume @p4200 (forall (@list @t672 @t5553 @t5442 @t178 @t49 @t8) (=> (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t5442 @t5553) (tptp.c_List_Olist__all2 @t8 @t49 @t178 (tptp.hAPP @t5350 @t5442) (tptp.hAPP @t5488 @t5553))))) % 53.50/53.74 (assume @p4201 (forall (@list @t35 @t32 @t33 @t13 @t178 @t49 @t8) (=> @t5554 (=> (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t32 @t35) (tptp.c_List_Olist__all2 @t8 @t49 @t178 (tptp.hAPP (tptp.hAPP @t5259 @t13) @t32) (tptp.hAPP (tptp.hAPP @t5401 @t33) @t35)))))) % 53.50/53.74 (assume @p4202 (forall (@list @t5314 @t5315 @t178 @t4851 @t49 @t4854 @t8) (=> @t5506 (= (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t5316 (tptp.hAPP (tptp.hAPP @t5401 @t4851) @t5314)) (and @t5551 (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t5315 @t5314)))))) % 53.50/53.74 (assume @p4203 (forall (@list @t4851 @t57 @t4854 @t48 @t178 @t49 @t8) (= (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t4910 @t5247) (and @t2943 @t5551)))) % 53.50/53.74 (assume @p4204 (forall (@list @t672 @t4851 @t4854 @t178 @t49 @t8) (=> @t5551 (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t5025 (tptp.hAPP @t5487 @t4851))))) % 53.50/53.74 (assume @p4205 (forall @t4994 (= @t4955 (tptp.c_List_Olist__all2 @t8 @t8 tptp.c_fequal @t4854 @t4851)))) % 53.50/53.74 (assume @p4206 (forall @t5552 (=> @t5551 @t5506))) % 53.50/53.74 (assume @p4207 (forall (@list @t4854 @t178 @t49 @t8) (= (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t4854 @t5242) @t5186))) % 53.50/53.74 (assume @p4208 (forall (@list @t4851 @t178 @t49 @t8) (= (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t5185 @t4851) (= @t4851 @t5242)))) % 53.50/53.74 (assume @p4209 (forall (@list @t5555 @t8 @t98) (= (tptp.c_Enum_Oproduct @t98 @t8 @t5184 @t5555) @t5205))) % 53.50/53.74 (assume @p4210 (forall @t5558 (=> @t5551 (=> (tptp.hBOOL (tptp.hAPP @t5557 @t5070)) @t5556)))) % 53.50/53.74 (assume @p4211 (forall @t5558 (=> @t5551 (=> (tptp.hBOOL (tptp.hAPP @t5557 @t4855)) @t5556)))) % 53.50/53.74 (assume @p4212 (forall @t5552 (= @t5551 (and @t5506 (forall @t1419 (=> @t4993 (tptp.hBOOL (tptp.hAPP @t5044 (tptp.hAPP @t5073 @t1415))))))))) % 53.50/53.74 (assume @p4213 (forall (@list @t972 @t57 @t48 @t4851 @t4854 @t178 @t49 @t8) (=> @t5551 (=> @t2943 (=> (tptp.hBOOL (tptp.hAPP @t977 @t5070)) @t5559))))) % 53.50/53.74 (assume @p4214 (forall (@list @t57 @t48 @t4851 @t178 @t49 @t4854 @t8 @t972) (=> @t5155 (=> @t5551 (=> @t2943 @t5559))))) % 53.50/53.74 (assume @p4215 (forall @t5167 (=> @t5165 (=> (tptp.hBOOL (tptp.hAPP @t5158 @t4843)) (tptp.hBOOL (tptp.hAPP @t5166 (tptp.c_Enum_Oproduct @t98 @t8 @t4844 @t4843))))))) % 53.50/53.74 (assume @p4216 (forall @t5080 (= (tptp.hAPP @t5078 @t5548) (tptp.hAPP (tptp.hAPP @t4235 @t5014) (tptp.hAPP @t3455 @t5092))))) % 53.50/53.74 (assume @p4217 (forall @t5015 (= (tptp.hAPP @t5493 (tptp.hAPP @t5561 @t5560)) (tptp.hAPP @t2584 @t5014)))) % 53.50/53.74 (assume @p4218 (forall @t5157 (= (tptp.hAPP @t5562 (tptp.c_Enum_Osublists @t98 @t4844)) (tptp.hAPP @t2583 @t4849)))) % 53.50/53.74 (assume @p4219 (forall @t1198 (= (tptp.c_Enum_Osublists @t98 @t5184) @t5566))) % 53.50/53.74 (assume @p4220 (forall @t4929 (= (tptp.c_Enum_Osublists @t8 @t4910) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet @t5567 @t5567) @t5560) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5567 @t5567 @t5567) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5567 (tptp.tc_fun @t5567 @t5567) @t5567) (tptp.c_List_Oappend @t4579)) (tptp.hAPP @t5568 @t4909))) (tptp.c_COMBI @t5567)))))) % 53.50/53.74 (assume @p4221 (forall @t5015 (=> @t5160 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t29) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4579 @t29) @t5012) @t5560)))))) % 53.50/53.74 (assume @p4222 (forall @t5027 (= @t5570 (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP @t4875 (tptp.hAPP @t4872 @t5062)) (tptp.hAPP @t5060 @t5014)))))) % 53.50/53.74 (assume @p4223 (forall @t4382 (= (tptp.c_Enum_Oenum__the @t8 @t178) @t5571))) % 53.50/53.74 (assume @p4224 (forall @t5023 (=> @t5165 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4846) @t5572))))) % 53.50/53.74 (assume @p4225 (forall @t5157 (= (tptp.c_Enum_On__lists @t98 @t1157 @t4844) @t5566))) % 53.50/53.74 (assume @p4226 (forall (@list @t98 @t658) (and (=> @t1204 (= @t5573 @t5566)) (=> @t1205 (= @t5573 @t5563))))) % 53.50/53.74 (assume @p4227 (forall @t5039 (= (tptp.hAPP @t5562 @t5572) (tptp.hAPP (tptp.hAPP @t2381 @t4849) @t658)))) % 53.50/53.74 (assume @p4228 (forall (@list @t4854 @t672 @t4851 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5279 @t5570)) @t4853))) % 53.50/53.74 (assume @p4229 (forall (@list @t178 @t33 @t13 @t49 @t8) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5550 (tptp.hAPP @t5078 (tptp.hAPP (tptp.hAPP @t5075 @t13) @t33)))) @t5549)) (=> @t5575 @t5554)))) % 53.50/53.74 (assume @p4230 (forall (@list @t48 @t178 @t4854 @t8) (=> @t5047 (=> @t5031 @t310)))) % 53.50/53.74 (assume @p4231 (forall @t5405 (=> @t633 (= @t5404 (tptp.hAPP @t5403 @t5576))))) % 53.50/53.74 (assume @p4232 (forall @t5580 (=> (tptp.c_Fun_Oinj__on @t8 @t49 @t2 @t5042) @t5579))) % 53.50/53.74 (assume @p4233 (forall @t5157 (tptp.hBOOL (tptp.hAPP @t5164 @t5581)))) % 53.50/53.74 (assume @p4234 (forall @t5157 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 (tptp.hAPP @t4847 @t5581)) @t4849)))) % 53.50/53.74 (assume @p4235 (forall @t5015 (= @t5582 @t5160))) % 53.50/53.74 (assume @p4236 (forall @t5194 (=> @t5165 (tptp.hBOOL (tptp.hAPP @t5164 @t5584))))) % 53.50/53.74 (assume @p4237 (forall @t5157 (=> @t5165 (= @t5581 @t4844)))) % 53.50/53.74 (assume @p4238 (forall @t5015 (= (tptp.hAPP @t5012 @t5576) @t5014))) % 53.50/53.74 (assume @p4239 (forall @t5015 (= (= @t5585 @t4855) @t5582))) % 53.50/53.74 (assume @p4240 (forall @t5157 (= (tptp.c_List_Oremdups @t98 @t5581) @t5581))) % 53.50/53.74 (assume @p4241 (forall @t1198 (= (tptp.c_List_Oremdups @t98 @t5184) @t5184))) % 53.50/53.74 (assume @p4242 (forall @t54 (= (= @t5185 @t5587) @t5586))) % 53.50/53.74 (assume @p4243 (forall @t103 (= (tptp.hAPP @t5583 @t5184) @t5184))) % 53.50/53.74 (assume @p4244 (forall @t54 (= (= @t5587 @t5185) @t5586))) % 53.50/53.74 (assume @p4245 (forall @t5197 (and (=> @t186 (= @t5588 @t5584)) (=> @t381 (= @t5588 (tptp.hAPP @t5147 @t5584)))))) % 53.50/53.74 (assume @p4246 (forall @t5278 (= (tptp.hAPP @t5583 @t5277) (tptp.hAPP (tptp.hAPP @t5272 @t5584) (tptp.hAPP @t5583 @t4843))))) % 53.50/53.74 (assume @p4247 (forall @t5472 (= (tptp.c_List_Oremdups @t8 (tptp.hAPP @t5457 (tptp.c_List_Oremdups @t49 @t4854))) (tptp.c_List_Oremdups @t8 @t5458)))) % 53.50/53.74 (assume @p4248 (forall @t5194 (=> @t5165 (= (tptp.c_List_Oremove1 @t98 @t97 @t5581) (tptp.c_List_Oremdups @t98 @t5193))))) % 53.50/53.74 (assume @p4249 (forall @t4929 (=> @t5035 (= @t5578 @t4854)))) % 53.50/53.74 (assume @p4250 (forall @t5194 (=> @t5165 (= @t5193 @t5584)))) % 53.50/53.74 (assume @p4251 (forall @t4929 (and (=> @t5031 (= @t5589 @t5576)) (=> @t5035 (= @t5589 (tptp.hAPP @t4909 @t5576)))))) % 53.50/53.74 (assume @p4252 (forall @t5015 (= @t5585 @t5043))) % 53.50/53.74 (assume @p4253 (forall @t5580 (=> @t4114 @t5579))) % 53.50/53.74 (assume @p4254 (forall @t4929 (= (tptp.hAPP @t5012 @t5578) @t5180))) % 53.50/53.74 (assume @p4255 (forall @t5594 (= (tptp.hAPP @t4841 (tptp.c_List_Oremdups @t8 @t5593)) (tptp.hAPP @t503 (tptp.hAPP (tptp.hAPP @t5592 @t5591) @t5012))))) % 53.50/53.74 (assume @p4256 (forall @t5015 (=> @t374 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t5014) (tptp.c_List_Olinorder__class_Osort__key @t8 @t8 @t2822 @t5576))))) % 53.50/53.74 (assume @p4257 (forall @t5594 (= @t5593 (tptp.hAPP (tptp.c_List_Ofoldl @t4579 @t4579 @t5259 @t5185) @t5590)))) % 53.50/53.74 (assume @p4258 (forall @t3875 (=> @t5415 (= (tptp.c_List_Olinorder__class_Osort__key @t8 @t49 @t2 @t5185) @t5185)))) % 53.50/53.74 (assume @p4259 (forall (@list @t5590 @t4854 @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t4579 @t4579 @t5259 @t4854) @t5590) (tptp.hAPP @t5264 @t5593)))) % 53.50/53.74 (assume @p4260 (forall @t5459 (=> @t5415 (= (tptp.hAPP @t4841 @t5595) @t4855)))) % 53.50/53.74 (assume @p4261 (forall @t5459 (=> @t5415 (= (tptp.hAPP @t5012 @t5595) @t5014)))) % 53.50/53.74 (assume @p4262 (forall @t5459 (=> @t5415 (= (tptp.hBOOL (tptp.hAPP @t5158 @t5595)) @t5160)))) % 53.50/53.74 (assume @p4263 (forall @t1198 (= (tptp.c_List_Oconcat @t98 @t5563) @t5184))) % 53.50/53.74 (assume @p4264 (forall @t4902 (= (tptp.c_List_Oconcat @t98 (tptp.hAPP (tptp.hAPP @t5564 @t97) @t4844)) (tptp.hAPP (tptp.hAPP @t5272 @t97) @t5596)))) % 53.50/53.74 (assume @p4265 (forall @t5594 (= (= @t5185 @t5593) @t5599))) % 53.50/53.74 (assume @p4266 (forall @t5594 (= (= @t5593 @t5185) @t5599))) % 53.50/53.74 (assume @p4267 (forall @t5459 (= (tptp.hAPP @t5457 (tptp.c_List_Oconcat @t49 @t4854)) (tptp.c_List_Oconcat @t8 @t5601)))) % 53.50/53.74 (assume @p4268 (forall @t5594 (= (tptp.hAPP @t4841 @t5593) (tptp.hAPP @t5105 (tptp.hAPP @t5602 @t5590))))) % 53.50/53.74 (assume @p4269 (forall @t5015 (= (tptp.hAPP @t5012 @t5604) (tptp.hAPP (tptp.hAPP @t5592 @t5603) @t5012)))) % 53.50/53.74 (assume @p4270 (forall @t5421 (=> @t5415 (= (tptp.c_List_Olinorder__class_Osort__key @t8 @t49 @t2 @t4910) (tptp.hAPP @t5414 @t5595))))) % 53.50/53.74 (assume @p4271 (forall @t4850 (= (tptp.c_List_Oconcat @t98 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t4846) @t4844) @t4843)) (tptp.hAPP (tptp.hAPP @t5272 @t5596) (tptp.c_List_Oconcat @t98 @t4843))))) % 53.50/53.74 (assume @p4272 (forall @t5015 (=> @t374 (= @t5605 (tptp.hAPP (tptp.c_List_Ofoldl @t4579 @t8 (tptp.hAPP @t5225 @t5410) @t5185) @t4854))))) % 53.50/53.74 (assume @p4273 (forall @t5295 (=> @t5610 (=> @t5609 (= @t5606 @t4955))))) % 53.50/53.74 (assume @p4274 (forall @t5295 (=> @t5606 (=> @t5609 (=> @t5610 @t4955))))) % 53.50/53.74 (assume @p4275 (forall @t5472 (= (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5611 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 @t4579 @t4579) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t4916 @t49) @t4890) @t2)) @t5185)) @t4854)) @t5458))) % 53.50/53.74 (assume @p4276 (forall @t5027 (= (tptp.c_Enum_On__lists @t8 @t692 @t4854) (tptp.c_List_Oconcat @t4579 (tptp.hAPP (tptp.hAPP @t5613 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4579 @t4579 @t5567) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t8 @t4579) @t5612 @t4579) (tptp.c_List_Omap @t8 @t4579)) @t5226)) @t4854)) @t5569))))) % 53.50/53.74 (assume @p4277 (forall @t5620 @t5619)) % 53.50/53.74 (assume @p4278 (forall @t5594 (= @t5617 (tptp.hAPP (tptp.hAPP @t5624 @t5375) @t5623)))) % 53.50/53.74 (assume @p4279 (forall @t5626 (= (tptp.hAPP @t5625 @t5604) (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5568 @t5625) @t4854))))) % 53.50/53.74 (assume @p4280 (forall (@list @t4854 @t2 @t178 @t8 @t49) (=> @t5415 (= (tptp.hAPP @t5627 @t5595) (tptp.c_List_Olinorder__class_Osort__key @t8 @t49 @t2 @t5628))))) % 53.50/53.74 (assume @p4281 (forall @t5050 (=> @t5160 (tptp.hBOOL (tptp.hAPP @t5158 @t5628))))) % 53.50/53.74 (assume @p4282 (forall @t5630 (= (tptp.hAPP (tptp.hAPP @t796 @t5629) (tptp.hAPP @t4841 (tptp.hAPP (tptp.c_List_Ofilter @t8 @t4380) @t4854))) @t4855))) % 53.50/53.74 (assume @p4283 (forall @t5630 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t5631) @t5014)))) % 53.50/53.74 (assume @p4284 (forall @t5630 (= (= @t5628 @t4854) @t5049))) % 53.50/53.74 (assume @p4285 (forall @t5630 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t5629) @t4855)))) % 53.50/53.74 (assume @p4286 (forall (@list @t4854 @t305 @t178 @t8) (= (tptp.hAPP @t5627 @t5633) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t3893 @t305)) @t178)) @t4854)))) % 53.50/53.74 (assume @p4287 (forall @t5635 (=> @t5634 (= (tptp.c_List_Oremove1 @t8 @t48 @t5628) @t5628)))) % 53.50/53.74 (assume @p4288 (forall (@list @t4854 @t48 @t305 @t8) (= (tptp.hAPP @t5632 @t5181) (tptp.c_List_Oremove1 @t8 @t48 @t5633)))) % 53.50/53.74 (assume @p4289 (forall (@list @t4854 @t2 @t8 @t48 @t178 @t49) (=> @t5415 (=> @t5634 (= (tptp.hAPP @t5627 @t5420) @t5628))))) % 53.50/53.74 (assume @p4290 (forall @t5630 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t4579 @t4579) @t5535) @t5628))) % 53.50/53.74 (assume @p4291 (forall @t5630 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t4579 @t4579) @t5535) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t5636 @t178)) @t4854)))) % 53.50/53.74 (assume @p4292 (forall @t5515 (= (tptp.c_List_Opartition @t8 @t2 @t4854) (tptp.hAPP (tptp.hAPP @t4856 (tptp.hAPP (tptp.c_List_Ofilter @t8 @t2) @t4854)) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t5636 @t2)) @t4854))))) % 53.50/53.74 (assume @p4293 (forall @t5640 (= @t5639 (tptp.hAPP @t5457 @t5638)))) % 53.50/53.74 (assume @p4294 (forall @t1198 (= (tptp.c_List_Otranspose @t98 @t5563) @t5563))) % 53.50/53.74 (assume @p4295 (forall @t4382 (= (tptp.hAPP @t5627 @t5185) @t5185))) % 53.50/53.74 (assume @p4296 (forall @t5635 (and (=> @t310 (= @t5641 (tptp.hAPP @t4909 @t5628))) (=> @t5634 (= @t5641 @t5628))))) % 53.50/53.74 (assume @p4297 (forall @t5643 (= (tptp.hAPP @t5627 @t5280) (tptp.hAPP (tptp.hAPP @t5259 @t5628) @t5642)))) % 53.50/53.74 (assume @p4298 (forall @t5630 (= (= @t5628 @t5185) (forall @t7 (=> @t5048 @t4390))))) % 53.50/53.74 (assume @p4299 (forall @t5640 (= (tptp.hAPP @t4841 @t5639) (tptp.hAPP @t5069 @t5638)))) % 53.50/53.74 (assume @p4300 (forall @t5635 (=> @t5634 (= (tptp.hAPP @t5577 @t5628) @t5628)))) % 53.50/53.74 (assume @p4301 (forall @t5630 (= (tptp.c_List_Oremdups @t8 @t5628) (tptp.hAPP @t5627 @t5576)))) % 53.50/53.74 (assume @p4302 (forall @t54 (= @t5577 (tptp.c_List_Ofilter @t8 (tptp.hAPP @t4379 @t4185))))) % 53.50/53.74 (assume @p4303 (forall (@list @t5644 @t98) (= (tptp.c_List_Otranspose @t98 (tptp.hAPP @t5565 @t5644)) (tptp.c_List_Otranspose @t98 @t5644)))) % 53.50/53.74 (assume @p4304 (forall @t5514 (=> @t5652 (= @t5650 (tptp.hAPP @t5647 @t5646))))) % 53.50/53.74 (assume @p4305 (forall @t5472 (= (tptp.c_List_Otranspose @t8 @t5601) (tptp.hAPP @t5600 (tptp.c_List_Otranspose @t49 @t4854))))) % 53.50/53.74 (assume @p4306 (forall @t5630 (= @t5631 (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t3893 (tptp.hAPP @t2734 @t5014))) @t178))))) % 53.50/53.74 (assume @p4307 (forall (@list @t178 @t4854 @t48 @t8) (=> @t5031 (=> @t5634 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t5629) @t4855)))))) % 53.50/53.74 (assume @p4308 (forall @t5653 (= (tptp.hAPP @t5159 @t505) (tptp.hAPP @t5012 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t4379 (tptp.hAPP @t2815 @t57))) @t4854))))) % 53.50/53.74 (assume @p4309 (forall @t5518 (=> @t5160 (= (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t2734 (tptp.hAPP @t5012 @t5654))) @t4854) @t5654)))) % 53.50/53.74 (assume @p4310 (forall @t5015 (= (= @t5648 @t5614) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5598 @t5603)) @t5597))))) % 53.50/53.74 (assume @p4311 (forall @t5626 (= (tptp.hAPP @t4841 (tptp.hAPP @t5625 @t4854)) (tptp.hAPP @t3188 (tptp.hAPP @t4349 (tptp.hAPP @t4882 (tptp.hAPP (tptp.hAPP @t5006 @t2671) @t4985))))))) % 53.50/53.74 (assume @p4312 (forall @t5594 (= @t5616 (tptp.hAPP (tptp.hAPP @t5568 @t5392) @t5623)))) % 53.50/53.74 (assume @p4313 (forall @t5620 (=> (tptp.hBOOL (tptp.hAPP @t5655 @t5618)) @t5619))) % 53.50/53.74 (assume @p4314 (forall @t5594 (=> (tptp.hBOOL (tptp.hAPP @t5655 @t5656)) (= (tptp.c_List_Otranspose @t8 @t5656) (tptp.c_List_Otranspose @t8 @t5590))))) % 53.50/53.74 (assume @p4315 (forall (@list @t5657 @t4854 @t178 @t8) (= (tptp.hAPP @t5663 (tptp.hAPP (tptp.c_List_Ofilter @t5661 (tptp.hAPP @t5662 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5661) tptp.c_Nat_OSuc) @t5660))) (tptp.hAPP @t5659 @t5657))) (tptp.hAPP @t5663 (tptp.hAPP (tptp.c_List_Ofilter @t5661 (tptp.hAPP @t5662 @t5660)) (tptp.hAPP @t5659 (tptp.hAPP @t5658 @t5657))))))) % 53.50/53.74 (assume @p4316 (forall @t5015 (= (tptp.c_Random_Oselect__weight @t8 @t5664) @t4926))) % 53.50/53.74 (assume @p4317 (forall @t5015 (= (tptp.c_Random_Opick @t8 @t5664) @t5512))) % 53.50/53.74 (assume @p4318 (forall @t96 (=> (tptp.hBOOL (tptp.hAPP @t5655 @t5614)) (= (tptp.c_List_Otranspose @t8 @t5614) @t5614)))) % 53.50/53.74 (assume @p4319 (forall @t5015 (= (tptp.c_List_Ofoldr @t4579 tptp.tc_Nat_Onat @t5665 @t5648 @t1157) (tptp.hAPP @t5607 (tptp.hAPP @t5622 @t4854))))) % 53.50/53.74 (assume @p4320 (forall (@list @t5590 @t49 @t4854 @t8) (= (tptp.hAPP (tptp.hAPP @t3249 @t5422) (tptp.c_List_Ofoldr @t5068 tptp.tc_Nat_Onat (tptp.hAPP @t5667 @t5069) @t5590 @t1157)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t3249 @t4855) (tptp.c_List_Ofoldr @t5068 tptp.tc_Nat_Onat (tptp.hAPP @t5667 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5068 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t5666 @t541) @t5069)) @t1322)) (tptp.hAPP (tptp.c_List_Ofilter @t5068 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5068) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5068 @t5068 tptp.tc_HOL_Obool) tptp.c_fequal) @t5242))) @t5590) @t1157)))))) % 53.50/53.74 (assume @p4321 (forall (@list @t13 @t2 @t8 @t49) (= (tptp.c_List_Ofoldr @t49 @t8 @t2 @t5242 @t13) @t13))) % 53.50/53.74 (assume @p4322 (forall (@list @t13 @t4854 @t48 @t2 @t8 @t49) (= (tptp.c_List_Ofoldr @t49 @t8 @t2 @t5399 @t13) (tptp.hAPP @t94 @t5668)))) % 53.50/53.74 (assume @p4323 (forall (@list @t13 @t4851 @t4854 @t2 @t8 @t49) (= (tptp.c_List_Ofoldr @t49 @t8 @t2 @t5402 @t13) (tptp.c_List_Ofoldr @t49 @t8 @t2 @t4854 (tptp.c_List_Ofoldr @t49 @t8 @t2 @t4851 @t13))))) % 53.50/53.74 (assume @p4324 (forall (@list @t13 @t4854 @t8) (=> (tptp.class_Groups_Oab__semigroup__add @t8) (= (tptp.c_List_Ofoldr @t8 @t8 @t844 @t4854 @t13) @t5669)))) % 53.50/53.74 (assume @p4325 (forall (@list @t13 @t4854 @t2 @t1685 @t1 @t8 @t49) (= (tptp.c_List_Ofoldr @t49 @t8 @t1 @t5455 @t13) (tptp.c_List_Ofoldr @t1685 @t8 (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t2722 @t1685 @t1) @t2) @t4854 @t13)))) % 53.50/53.74 (assume @p4326 (forall @t5671 (=> @t5396 (= @t5669 (tptp.hAPP @t850 @t5670))))) % 53.50/53.74 (assume @p4327 (forall @t5015 (=> @t5396 (= (tptp.hAPP @t5395 @t4854) @t5670)))) % 53.50/53.74 (assume @p4328 (forall @t5015 (= @t5651 (tptp.c_List_Ofoldr @t4579 tptp.tc_Nat_Onat @t5665 @t4854 @t1157)))) % 53.50/53.74 (assume @p4329 (forall @t5054 (= (tptp.c_List_Osublist @t8 @t4854 @t25) (tptp.hAPP @t5663 (tptp.hAPP @t5676 @t5673))))) % 53.50/53.74 (assume @p4330 (forall (@list @t972 @t4854 @t25 @t8) (= (tptp.hAPP @t5663 (tptp.hAPP @t5676 (tptp.hAPP @t5659 (tptp.c_List_Oupt @t972 (tptp.hAPP @t973 @t4855))))) (tptp.hAPP @t5663 (tptp.hAPP (tptp.c_List_Ofilter @t5661 (tptp.hAPP (tptp.hAPP @t5675 (tptp.hAPP @t5674 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5661 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2708 @t5661) @t796) @t5660)) @t972))) @t25)) @t5673))))) % 53.50/53.74 (assume @p4331 (forall @t3885 (= @t5678 @t3770))) % 53.50/53.74 (assume @p4332 (forall @t3885 (= @t3770 @t5678))) % 53.50/53.74 (assume @p4333 (forall @t924 @t5685)) % 53.50/53.74 (assume @p4334 (forall @t924 (and @t5685 (=> (not @t735) (= @t5684 @t5679))))) % 53.50/53.74 (assume @p4335 (forall @t736 (=> @t735 (= (tptp.c_List_Oupt @t730 @t931) (tptp.hAPP @t5683 (tptp.c_List_Oupt @t727 @t931)))))) % 53.50/53.74 (assume @p4336 (forall @t924 (and @t5687 (=> (not @t767) @t5686)))) % 53.50/53.74 (assume @p4337 (forall @t924 @t5687)) % 53.50/53.74 (assume @p4338 (forall @t927 (=> @t1038 @t5686))) % 53.50/53.74 (assume @p4339 (forall @t3885 (= (= @t5677 @t5679) (or (= @t971 @t1157) @t1031)))) % 53.50/53.74 (assume @p4340 (forall @t2163 (= (tptp.c_List_Oupt @t730 @t1157) @t5679))) % 53.50/53.74 (assume @p4341 (forall @t2554 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t970) @t658)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t662) (tptp.c_List_Oupt @t730 @t658)) (tptp.c_List_Oupt @t730 @t970))))) % 53.50/53.74 (assume @p4342 (forall @t701 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t3779) @t5688))) % 53.50/53.74 (assume @p4343 (forall @t924 (=> @t767 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t5681) @t730)))) % 53.50/53.74 (assume @p4344 (forall (@list @t727 @t730 @t662) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t662) @t5681) (tptp.c_List_Oupt @t970 @t727)))) % 53.50/53.74 (assume @p4345 (forall @t924 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t5681)))) % 53.50/53.74 (assume @p4346 (forall @t924 (= (tptp.hAPP @t5113 @t5681) @t1040))) % 53.50/53.74 (assume @p4347 (forall @t668 (and (=> @t5692 (= @t5691 (tptp.hAPP (tptp.hAPP @t5680 @t5690) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t5690) @t5689)))) (=> (not @t5692) (= @t5691 @t5679))))) % 53.50/53.74 (assume @p4348 (forall (@list @t4854 @t48 @t971 @t972) (= (= @t5677 (tptp.hAPP (tptp.hAPP @t5680 @t48) @t4854)) (and (tptp.hBOOL (tptp.hAPP @t977 @t971)) (= @t972 @t48) (= (tptp.c_List_Oupt (tptp.hAPP @t973 @t638) @t971) @t4854))))) % 53.50/53.74 (assume @p4349 (forall @t924 (=> @t767 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t5681) (tptp.hAPP @t784 @t638))))) % 53.50/53.74 (assume @p4350 (forall @t701 (= (tptp.hAPP @t5658 @t5688) (tptp.c_List_Oupt @t769 @t692)))) % 53.50/53.74 (assume @p4351 (forall @t697 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t672 @t673) (tptp.hAPP @t5102 (tptp.c_List_Oupt @t672 @t769))))) % 53.50/53.74 (assume @p4352 (forall @t1209 (= @t3178 (tptp.hAPP @t5102 @t5693)))) % 53.50/53.74 (assume @p4353 (forall (@list @t727 @t726 @t730) (=> (tptp.hBOOL (tptp.hAPP @t933 @t727)) (= (tptp.hAPP (tptp.hAPP @t5110 @t5681) @t726) @t932)))) % 53.50/53.74 (assume @p4354 (forall @t697 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t672 @t673) (tptp.hAPP @t5102 (tptp.c_List_Oupt @t692 @t769))))) % 53.50/53.74 (assume @p4355 (forall @t697 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t672 @t673) (tptp.hAPP @t5102 (tptp.c_List_Oupt @t692 @t673))))) % 53.50/53.74 (assume @p4356 (forall @t1209 (= @t3793 (tptp.hAPP @t5102 (tptp.c_List_Oupt @t1157 @t692))))) % 53.50/53.74 (assume @p4357 (forall @t5015 (= (tptp.hAPP (tptp.hAPP @t5694 @t4985) @t5672) @t4854))) % 53.50/53.74 (assume @p4358 (forall @t3484 (=> @t1316 (= @t5697 @t5696)))) % 53.50/53.74 (assume @p4359 (forall @t3484 (=> @t1316 (= @t5696 @t5697)))) % 53.50/53.74 (assume @p4360 (forall (@list @t2 @t8 @t673 @t672 @t972) (=> (tptp.hBOOL (tptp.hAPP @t977 @t1337)) (= (tptp.hAPP (tptp.hAPP @t4983 @t5695) @t972) (tptp.hAPP @t2 (tptp.hAPP @t821 @t972)))))) % 53.50/53.74 (assume @p4361 (forall (@list @t672 @t8 @t4854) (=> (=> @t5699 @t1207) (=> (forall @t1419 (=> (tptp.hBOOL (tptp.hAPP @t2649 @t5608)) (= (tptp.hAPP @t4841 (tptp.hAPP @t5698 @t1415)) @t672))) (= @t5648 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t4579) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t5112 @t4579) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5007 (tptp.tc_fun @t5112 @t4579) tptp.tc_Nat_Onat) @t5694) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4579 @t5007 tptp.tc_Nat_Onat) @t4983) @t5698)))) (tptp.c_List_Oupt @t1157 @t5608))) @t5693)))))) % 53.50/53.74 (assume @p4362 (forall (@list @t2 @t4854 @t13 @t8 @t49) (=> @t5415 (=> @t5087 (=> @t5701 (=> (= (tptp.hAPP @t5375 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP (tptp.hAPP @t4383 (tptp.hAPP tptp.c_fequal @t794)) @t2)) @t4854)) @t13) (= (tptp.hAPP @t5427 @t5700) @t4854))))))) % 53.50/53.74 (assume @p4363 (forall @t1198 (=> @t156 (tptp.c_List_Olinorder__class_Osorted @t98 @t5184)))) % 53.50/53.74 (assume @p4364 (forall @t103 (=> @t156 (tptp.c_List_Olinorder__class_Osorted @t98 @t5210)))) % 53.50/53.74 (assume @p4365 (forall @t924 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t5681))) % 53.50/53.74 (assume @p4366 (forall @t5015 (=> @t374 (tptp.c_List_Olinorder__class_Osorted @t8 @t5605)))) % 53.50/53.74 (assume @p4367 (forall @t5018 (=> @t374 (=> @t5702 (tptp.c_List_Olinorder__class_Osorted @t8 @t5433))))) % 53.50/53.74 (assume @p4368 (forall @t5023 (=> @t156 (=> @t5703 (tptp.c_List_Olinorder__class_Osorted @t98 @t5339))))) % 53.50/53.74 (assume @p4369 (forall @t924 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t5161))) % 53.50/53.74 (assume @p4370 (forall @t5023 (=> @t156 (=> @t5703 (tptp.c_List_Olinorder__class_Osorted @t98 @t5021))))) % 53.50/53.74 (assume @p4371 (forall (@list @t197 @t4844 @t98) (=> @t156 (=> @t5703 (tptp.c_List_Olinorder__class_Osorted @t98 (tptp.c_List_Oremove1 @t98 @t197 @t4844)))))) % 53.50/53.74 (assume @p4372 (forall @t5157 (=> @t156 (=> @t5703 (tptp.c_List_Olinorder__class_Osorted @t98 @t5380))))) % 53.50/53.74 (assume @p4373 (forall @t4929 (=> @t374 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t5423) @t5702)))) % 53.50/53.74 (assume @p4374 (forall @t5157 (=> @t156 (=> @t5191 (=> @t5703 (tptp.c_List_Olinorder__class_Osorted @t98 @t5129)))))) % 53.50/53.74 (assume @p4375 (forall @t5397 (=> @t374 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4909 @t5704)) (and @t164 (tptp.c_List_Olinorder__class_Osorted @t8 @t5704)))))) % 53.50/53.74 (assume @p4376 (forall @t5204 (=> @t156 (=> @t155 (=> (tptp.c_List_Olinorder__class_Osorted @t98 @t5705) (tptp.c_List_Olinorder__class_Osorted @t98 (tptp.hAPP @t4894 @t5705))))))) % 53.50/53.74 (assume @p4377 (forall (@list @t740 @t98) (=> @t156 (=> (tptp.c_List_Olinorder__class_Osorted @t98 @t740) (tptp.c_List_Olinorder__class_Osorted @t98 (tptp.c_List_Oremdups @t98 @t740)))))) % 53.50/53.74 (assume @p4378 (forall @t5295 (=> @t374 (=> @t5702 (=> @t5160 (=> @t5707 (=> @t5320 @t5706))))))) % 53.50/53.74 (assume @p4379 (forall @t5472 (=> @t374 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5457 (tptp.c_List_Olinorder__class_Osort__key @t49 @t8 @t2 @t4854)))))) % 53.50/53.74 (assume @p4380 (forall @t5709 (=> @t374 (=> @t5708 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5457 @t5429)))))) % 53.50/53.74 (assume @p4381 (forall @t5709 (=> @t374 (=> @t5708 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5457 (tptp.c_List_Oremove1 @t49 @t48 @t4854))))))) % 53.50/53.74 (assume @p4382 (forall @t5580 (=> @t374 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5457 @t5426)) @t5708)))) % 53.50/53.74 (assume @p4383 (forall (@list @t178 @t4854 @t2 @t49 @t8) (=> @t374 (=> @t5708 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5457 @t5711)))))) % 53.50/53.74 (assume @p4384 (forall @t5478 (=> @t374 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5457 (tptp.hAPP (tptp.c_List_Ofilter @t49 (tptp.hAPP (tptp.hAPP @t4451 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t29 @t49) tptp.c_fequal) @t2)) @t5712)) @t4854)))))) % 53.50/53.74 (assume @p4385 (forall (@list @t4854 @t1 @t8) (=> @t374 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t2815 @t5712)) @t4854))))) % 53.50/53.74 (assume @p4386 (forall @t4929 (=> @t374 (= @t5714 (and @t5702 @t5713))))) % 53.50/53.74 (assume @p4387 (forall @t5295 (=> @t374 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t5280) (and @t5702 @t5707 (forall @t7 (=> @t5048 (forall @t571 (=> (tptp.hBOOL (tptp.hAPP @t570 @t5293)) @t5715))))))))) % 53.50/53.74 (assume @p4388 (forall (@list @t48 @t178 @t4854 @t2 @t49 @t8) (=> @t374 (=> @t5708 (=> @t310 (= (tptp.hAPP @t5710 @t5426) (tptp.hAPP @t5417 @t5711))))))) % 53.50/53.74 (assume @p4389 (forall (@list @t406 @t405 @t8) (=> @t374 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4972 @t406)) (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t181 (tptp.hAPP @t5012 @t406))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t405) @t3)))) (tptp.c_List_Olinorder__class_Osorted @t8 @t406)))))) % 53.50/53.74 (assume @p4390 (forall @t135 (=> @t374 (=> @t335 (and (= (tptp.hAPP @t5012 @t5248) @t25) (tptp.c_List_Olinorder__class_Osorted @t8 @t5248) (tptp.hBOOL (tptp.hAPP @t5158 @t5248))))))) % 53.50/53.74 (assume @p4391 (forall @t5671 (=> @t374 (=> @t5087 (=> @t5702 (= (tptp.hAPP (tptp.hAPP @t5410 @t13) @t5700) @t4854)))))) % 53.50/53.74 (assume @p4392 (forall @t5015 (=> @t374 (= @t5702 (forall @t1329 (=> @t5174 (forall @t1419 (=> @t5716 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t4992) @t5173)))))))))) % 53.50/53.74 (assume @p4393 (forall @t5718 (=> @t156 (=> @t5703 (=> @t735 (=> @t5717 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t5028) @t5124)))))))) % 53.50/53.74 (assume @p4394 (forall @t5484 (=> @t5415 (=> @t5491 (=> @t5701 (=> (tptp.hBOOL (tptp.hAPP @t5492 @t5450)) (=> (tptp.c_List_Olinorder__class_Osorted @t49 @t5479) (=> (tptp.hBOOL (tptp.hAPP @t5492 @t5479)) @t5706)))))))) % 53.50/53.74 (assume @p4395 (forall @t5724 (=> @t5723 (=> @t5721 (= (tptp.hAPP @t5647 @t5720) @t5719))))) % 53.50/53.74 (assume @p4396 (forall @t5172 (=> @t5723 (=> @t5652 (=> (tptp.hBOOL (tptp.hAPP @t5171 (tptp.hAPP @t5607 @t5646))) (= (tptp.hAPP (tptp.hAPP @t4983 @t5650) @t971) (tptp.hAPP (tptp.hAPP @t4983 (tptp.hAPP @t5698 @t971)) @t972))))))) % 53.50/53.74 (assume @p4397 (forall @t135 (tptp.c_Fun_Oinj__on @t4579 @t4579 @t5725 @t25))) % 53.50/53.74 (assume @p4398 (forall @t5015 (= (tptp.hBOOL (tptp.hAPP @t5158 @t5726)) @t5160))) % 53.50/53.74 (assume @p4399 (forall @t1198 (= (tptp.hAPP @t5727 @t5184) @t5184))) % 53.50/53.74 (assume @p4400 (forall @t5015 (= (= @t5185 @t5726) @t5186))) % 53.50/53.74 (assume @p4401 (forall @t5015 (= (= @t5726 @t5185) @t5186))) % 53.50/53.74 (assume @p4402 (forall @t5018 (= (= @t5726 @t5216) @t5728))) % 53.50/53.74 (assume @p4403 (forall @t4929 (= (= @t5216 @t5726) @t5728))) % 53.50/53.74 (assume @p4404 (forall @t4850 (= (tptp.hAPP @t5727 @t5277) (tptp.hAPP (tptp.hAPP @t5272 (tptp.hAPP @t5727 @t4843)) @t5729)))) % 53.50/53.74 (assume @p4405 (forall @t5015 (= (tptp.hAPP @t5725 @t5604) (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5568 @t5725) (tptp.hAPP (tptp.c_List_Orev @t4579) @t4854)))))) % 53.50/53.74 (assume @p4406 (forall @t5472 (= @t5732 (tptp.hAPP @t5457 @t5731)))) % 53.50/53.74 (assume @p4407 (forall @t5630 (= (tptp.hAPP @t5725 @t5628) (tptp.hAPP @t5627 @t5726)))) % 53.50/53.74 (assume @p4408 (forall @t5167 (=> (= @t4849 @t5086) (= (tptp.hAPP (tptp.hAPP @t5081 @t5729) (tptp.hAPP @t5725 @t4843)) (tptp.hAPP (tptp.c_List_Orev @t5084) @t5083))))) % 53.50/53.74 (assume @p4409 (forall @t5015 (= (tptp.hAPP @t5012 @t5726) @t5014))) % 53.50/53.74 (assume @p4410 (forall @t5552 (= (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t5726 @t4851) (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t4854 @t5733)))) % 53.50/53.74 (assume @p4411 (forall @t5552 (= (tptp.c_List_Olist__all2 @t8 @t49 @t178 @t5726 @t5733) @t5551))) % 53.50/53.74 (assume @p4412 (forall @t5295 (= (= @t5726 @t5734) @t4955))) % 53.50/53.74 (assume @p4413 (forall @t5295 (= (= @t5726 @t4851) (= @t4854 @t5734)))) % 53.50/53.74 (assume @p4414 (forall @t5157 (= (tptp.hAPP @t5727 @t5729) @t4844))) % 53.50/53.74 (assume @p4415 (forall @t5157 (=> @t1181 (= (tptp.hAPP @t5106 @t5729) @t5107)))) % 53.50/53.74 (assume @p4416 (forall @t5157 (= (tptp.hAPP @t4847 @t5729) @t4849))) % 53.50/53.74 (assume @p4417 (forall (@list @t13 @t4854 @t2 @t8 @t49) (= @t5668 (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t49 (tptp.hAPP @t2731 @t2) @t13) @t5731)))) % 53.50/53.74 (assume @p4418 (forall (@list @t4854 @t13 @t2 @t49 @t8) (= @t5400 (tptp.c_List_Ofoldr @t49 @t8 (tptp.hAPP (tptp.c_COMBC @t8 @t49 @t8) @t2) @t5731 @t13)))) % 53.50/53.74 (assume @p4419 (forall @t4902 (= (tptp.hAPP @t5727 @t4901) (tptp.hAPP (tptp.hAPP @t5272 @t5729) @t5210)))) % 53.50/53.74 (assume @p4420 (forall (@list @t4851 @t57 @t4854 @t8) (= (= @t5726 @t4908) (= @t4854 (tptp.hAPP (tptp.hAPP @t5259 @t5734) @t5261))))) % 53.50/53.74 (assume @p4421 (forall @t5192 (=> @t5191 (= (tptp.c_List_Olast @t98 @t5729) @t5371)))) % 53.50/53.74 (assume @p4422 (forall @t5192 (=> @t5191 (= (tptp.hAPP @t5368 @t5729) @t5434)))) % 53.50/53.74 (assume @p4423 (forall @t5015 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5722 (tptp.hAPP @t5602 @t5648))))) % 53.50/53.74 (assume @p4424 (forall @t5015 (= @t5726 (tptp.hAPP (tptp.c_List_Ofoldl @t4579 @t8 @t5226 @t5185) @t4854)))) % 53.50/53.74 (assume @p4425 (forall @t5736 (= (tptp.hAPP @t5727 @t5163) (tptp.hAPP (tptp.hAPP @t5336 @t5735) @t5729)))) % 53.50/53.74 (assume @p4426 (forall @t5736 (= (tptp.hAPP @t5727 @t5342) (tptp.hAPP (tptp.hAPP @t5019 @t5735) @t5729)))) % 53.50/53.74 (assume @p4427 (forall @t5039 (= (tptp.hAPP @t5383 @t5729) (tptp.hAPP @t5727 (tptp.hAPP (tptp.c_List_Orotate @t98 (tptp.hAPP @t5133 @t5382)) @t4844))))) % 53.50/53.74 (assume @p4428 (forall @t5118 (=> @t5156 (= (tptp.hAPP (tptp.hAPP @t4995 @t5729) @t658) (tptp.hAPP @t4996 (tptp.hAPP @t5133 @t659)))))) % 53.50/53.74 (assume @p4429 (forall (@list @t152 @t4844 @t98 @t726) (=> (tptp.hBOOL (tptp.hAPP @t935 @t4849)) (= (tptp.hAPP @t5727 (tptp.hAPP @t5130 @t152)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t98 @t5729) (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP @t5133 @t726)) @t638)) @t152))))) % 53.50/53.74 (assume @p4430 (forall @t5718 (=> @t156 (=> (tptp.c_List_Olinorder__class_Osorted @t98 @t5729) (=> @t735 (=> @t5717 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t5124) @t5028)))))))) % 53.50/53.74 (assume @p4431 (forall @t5653 (=> @t374 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5726) (and (=> @t5186 (= @t5737 @t57)) (=> @t5209 (= @t5737 (tptp.hAPP (tptp.hAPP @t3251 (tptp.hAPP @t4985 @t1157)) @t57)))))))) % 53.50/53.74 (assume @p4432 (forall @t5015 (=> @t5723 (and (=> @t5699 (= @t5651 @t1157)) (=> (not @t5699) (= @t5651 (tptp.hAPP @t4841 (tptp.hAPP @t5698 @t1157)))))))) % 53.50/53.74 (assume @p4433 (forall @t5724 (=> @t5723 (=> @t5721 (= (tptp.hAPP @t5607 @t5720) (tptp.hAPP @t4841 @t5719)))))) % 53.50/53.74 (assume @p4434 (forall @t5015 (=> @t5723 (= (tptp.c_List_Otranspose @t8 @t5648) (tptp.c_List_OtakeWhile @t4579 @t5621 @t4854))))) % 53.50/53.74 (assume @p4435 (= @t5679 (tptp.c_List_Oreturn__list @t5201))) % 53.50/53.74 (assume @p4436 (forall @t5050 (=> @t374 (=> @t5702 (tptp.c_List_Olinorder__class_Osorted @t8 @t5738))))) % 53.50/53.74 (assume @p4437 (forall @t5630 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t5739) @t4855)))) % 53.50/53.74 (assume @p4438 (forall (@list @t4854 @t178 @t48 @t8) (=> (tptp.hBOOL (tptp.hAPP @t148 (tptp.hAPP @t5012 @t5738))) (and @t5031 @t310)))) % 53.50/53.74 (assume @p4439 (forall @t5630 (= (= @t5738 @t4854) @t5049))) % 53.50/53.74 (assume @p4440 (forall (@list @t4851 @t178 @t4854 @t49 @t8) (= (tptp.hAPP @t5076 (tptp.c_List_OtakeWhile @t49 @t178 @t4851)) (tptp.c_List_OtakeWhile @t2660 (tptp.hAPP (tptp.c_Fun_Ocomp @t49 tptp.tc_HOL_Obool @t2660 @t178) @t3147) @t5077)))) % 53.50/53.74 (assume @p4441 (forall @t5552 (= (tptp.hAPP (tptp.hAPP @t5075 @t5738) @t4851) (tptp.c_List_OtakeWhile @t2660 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_HOL_Obool @t2660 @t178) @t3149) @t5077)))) % 53.50/53.74 (assume @p4442 (forall @t5640 (= (tptp.c_List_OtakeWhile @t8 @t178 @t5458) (tptp.hAPP @t5457 (tptp.c_List_OtakeWhile @t49 @t5637 @t4854))))) % 53.50/53.74 (assume @p4443 (forall (@list @t1695 @t4854 @t8 @t48 @t178) (=> @t5634 (= (tptp.c_List_OtakeWhile @t8 @t178 (tptp.hAPP @t5264 @t5260)) @t5738)))) % 53.50/53.74 (assume @p4444 (forall @t5635 (and (=> @t310 (= @t5740 (tptp.hAPP @t4909 @t5738))) (=> @t5634 (= @t5740 @t5185))))) % 53.50/53.74 (assume @p4445 (forall @t4382 (= (tptp.c_List_OtakeWhile @t8 @t178 @t5185) @t5185))) % 53.50/53.74 (assume @p4446 (forall @t5630 (= @t5738 (tptp.hAPP (tptp.hAPP @t5004 @t5739) @t4854)))) % 53.50/53.74 (assume @p4447 (forall @t5050 (=> @t5160 (tptp.hBOOL (tptp.hAPP @t5158 @t5738))))) % 53.50/53.74 (assume @p4448 (forall @t2119 (= (tptp.c_List_Oreturn__list @t1695) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint tptp.tc_Nat_Onat) tptp.c_Int_Onat) @t1695)))) % 53.50/53.74 (assume @p4449 (forall @t5742 (=> @t5031 (=> @t5634 (= @t5741 @t5738))))) % 53.50/53.74 (assume @p4450 (forall @t5630 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t5739) @t4855)) (not (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t4985 @t5739))))))) % 53.50/53.74 (assume @p4451 (forall @t5743 (=> (tptp.hBOOL (tptp.hAPP @t5171 @t5739)) (= (tptp.hAPP (tptp.hAPP @t4983 @t5738) @t971) @t5170)))) % 53.50/53.74 (assume @p4452 (forall @t5377 (=> @t5209 (=> @t5160 (= (tptp.c_List_OtakeWhile @t8 (tptp.hAPP @t4379 (tptp.hAPP @t2815 @t5449)) @t4854) @t5149))))) % 53.50/53.74 (assume @p4453 (forall (@list @t20 @t4854 @t2 @t49 @t8) (=> @t374 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5732) (= (tptp.hAPP (tptp.c_List_Ofilter @t49 @t5745) @t4854) (tptp.c_List_OtakeWhile @t49 @t5745 @t4854)))))) % 53.50/53.74 (assume @p4454 (forall @t2027 (=> (tptp.c_List_Onat__list @t740) (= (tptp.c_List_Oembed__list (tptp.c_List_Oreturn__list @t740)) @t740)))) % 53.50/53.74 (assume @p4455 (forall (@list @t662 @t740) (= (tptp.hAPP (tptp.hAPP @t5682 @t740) @t662) (tptp.c_List_Oreturn__list (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Int_Oint) (tptp.c_List_Oembed__list @t740)) (tptp.c_List_Oembed__list @t662)))))) % 53.50/53.74 (assume @p4456 (forall @t2119 (= (tptp.c_List_Oembed__list @t1695) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Int_Oint) @t1853) @t1695)))) % 53.50/53.74 (assume @p4457 (forall @t5018 (=> @t5160 (=> @t5031 (= (tptp.c_List_OtakeWhile @t8 @t5746 @t5726) (tptp.hAPP @t5725 (tptp.hAPP @t5392 (tptp.c_List_OdropWhile @t8 @t5746 @t4854)))))))) % 53.50/53.74 (assume @p4458 (forall @t5018 (=> @t5160 (=> @t5031 (= (tptp.c_List_OdropWhile @t8 @t5746 @t5726) (tptp.hAPP @t4909 (tptp.hAPP @t5725 (tptp.c_List_OtakeWhile @t8 @t5746 @t4854)))))))) % 53.50/53.74 (assume @p4459 (forall @t5630 (= (tptp.hAPP @t5748 @t5747) @t4854))) % 53.50/53.74 (assume @p4460 (forall @t5050 (=> @t374 (=> @t5702 (tptp.c_List_Olinorder__class_Osorted @t8 @t5747))))) % 53.50/53.74 (assume @p4461 (forall @t5630 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t595 @t5749) @t4855)))) % 53.50/53.74 (assume @p4462 (forall @t5630 (= @t5750 @t5049))) % 53.50/53.74 (assume @p4463 (forall @t5635 (and (=> @t310 (= @t5751 @t5747)) (=> @t5634 (= @t5751 @t4910))))) % 53.50/53.74 (assume @p4464 (forall @t4382 (= (tptp.c_List_OdropWhile @t8 @t178 @t5185) @t5185))) % 53.50/53.74 (assume @p4465 (forall @t5050 (=> @t5160 (tptp.hBOOL (tptp.hAPP @t5158 @t5747))))) % 53.50/53.74 (assume @p4466 (forall @t5630 (=> (not @t5750) (not (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t5375 @t5747))))))) % 53.50/53.74 (assume @p4467 (forall @t5640 (= (tptp.c_List_OdropWhile @t8 @t178 @t5458) (tptp.hAPP @t5457 (tptp.c_List_OdropWhile @t49 @t5637 @t4854))))) % 53.50/53.74 (assume @p4468 (forall @t5742 (=> @t5031 (=> @t5634 (= @t5752 (tptp.hAPP (tptp.hAPP @t5259 @t5747) @t4851)))))) % 53.50/53.74 (assume @p4469 (forall (@list @t4851 @t57 @t4854 @t178 @t8) (= (= @t5747 @t4908) (and (= @t4854 (tptp.hAPP @t5748 @t4908)) (not @t4237))))) % 53.50/53.74 (assume @p4470 (forall @t5630 (= @t5747 (tptp.hAPP (tptp.hAPP @t5347 @t5739) @t4854)))) % 53.50/53.74 (assume @p4471 (forall @t5743 (=> (tptp.hBOOL (tptp.hAPP @t5171 @t5749)) (= (tptp.hAPP (tptp.hAPP @t4983 @t5747) @t971) (tptp.hAPP @t4985 (tptp.hAPP @t3767 @t5739)))))) % 53.50/53.74 (assume @p4472 (forall (@list @t2 @t178 @t4854 @t8 @t49) (=> @t5522 (=> (forall @t7 (=> @t5048 (=> @t4390 @t1163))) (= (tptp.hAPP @t5494 (tptp.hAPP @t5447 @t5628)) @t5495))))) % 53.50/53.74 (assume @p4473 (forall @t5157 (=> @t156 (=> (forall @t2307 (=> @t5716 (=> (tptp.hBOOL (tptp.hAPP @t1328 @t4849)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t5179) (tptp.hAPP @t4996 @t1327)))))) @t5703)))) % 53.50/53.74 (assume @p4474 (forall @t5630 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t181 (tptp.hAPP @t5012 @t5747))) @t4390)) (= @t5738 @t5628)))) % 53.50/53.74 (assume @p4475 (forall @t5754 (=> (forall @t1419 (=> @t2650 @t5046)) (=> (=> @t5057 (not @t5753)) (= @t5738 @t5025))))) % 53.50/53.74 (assume @p4476 (forall (@list @t4854 @t8 @t178 @t971) (=> (forall @t1419 (=> (tptp.hBOOL (tptp.hAPP @t2649 @t971)) @t5045)) (=> (tptp.hBOOL (tptp.hAPP @t983 @t4855)) (tptp.hBOOL (tptp.hAPP @t983 @t5739)))))) % 53.50/53.74 (assume @p4477 (forall @t14 (=> @t374 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t13) (or @t5444 (exists (@list @t4968 @t3) (and (= @t13 @t4970) (forall @t571 (=> (tptp.hBOOL (tptp.hAPP @t570 (tptp.hAPP @t5012 @t4968))) @t5715)) (tptp.c_List_Olinorder__class_Osorted @t8 @t4968)))))))) % 53.50/53.74 (assume @p4478 (forall @t4929 @t5756)) % 53.50/53.74 (assume @p4479 (forall @t4929 (and @t5757 @t5756))) % 53.50/53.74 (assume @p4480 (forall @t4902 (= (tptp.c_List_Oinsert @t98 @t97 @t5581) (tptp.c_List_Oremdups @t98 @t5758)))) % 53.50/53.74 (assume @p4481 (forall @t5194 (=> @t5165 (tptp.hBOOL (tptp.hAPP @t5164 @t5758))))) % 53.50/53.74 (assume @p4482 (forall @t4929 @t5757)) % 53.50/53.74 (assume @p4483 (forall @t4929 (= (tptp.hAPP @t5012 @t5755) @t5042))) % 53.50/53.74 (assume @p4484 (forall @t103 (= (tptp.c_List_Oinsert @t98 @t97 @t5184) @t5210))) % 53.50/53.74 (assume @p4485 (forall @t5472 (= @t5760 @t5759))) % 53.50/53.74 (assume @p4486 (forall @t5459 (= @t5759 @t5760))) % 53.50/53.74 (assume @p4487 (forall @t3875 (= (tptp.c_List_Omaps @t49 @t8 @t2 @t5242) @t5185))) % 53.50/53.74 (assume @p4488 (forall @t5421 (= (tptp.c_List_Omaps @t49 @t8 @t2 @t5399) (tptp.hAPP (tptp.hAPP @t5259 @t94) @t5759)))) % 53.50/53.74 (assume @p4489 (forall @t5015 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4579) @t4854)) (=> (forall @t5766 (=> @t5765 (tptp.hBOOL (tptp.hAPP @t5158 @t4975)))) (=> (forall @t5766 (=> @t5765 (forall @t5764 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4914 @t5761) @t5603)) (=> (not (= @t4975 @t5761)) (= (tptp.hAPP (tptp.hAPP @t486 @t5763) @t5762) @t30)))))) (tptp.hBOOL (tptp.hAPP @t5158 @t5604))))))) % 53.50/53.74 (assume @p4490 (forall @t5772 (=> @t3183 (=> @t5771 @t5769)))) % 53.50/53.74 (assume @p4491 (forall @t5773 (tptp.c_Wellfounded_Owf @t8 @t5770))) % 53.50/53.74 (assume @p4492 (forall @t167 (not (tptp.hBOOL (tptp.hAPP @t3144 (tptp.c_List_Omeasures @t8 (tptp.c_List_Olist_ONil @t5768))))))) % 53.50/53.74 (assume @p4493 (forall @t5773 (= @t5770 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5112 @t8) (tptp.c_List_Olex tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5774 @t5112) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5768 tptp.tc_Nat_Onat) (tptp.tc_fun @t5774 @t5112) @t8) (tptp.c_List_Omap @t5768 tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBC @t5768 @t8 tptp.tc_Nat_Onat) (tptp.c_COMBI @t5768)))) @t5767))))) % 53.50/53.74 (assume @p4494 (forall @t5772 (=> @t3140 @t5769))) % 53.50/53.74 (assume @p4495 (forall (@list @t5767 @t2 @t57 @t48 @t8) (= @t5769 (or @t3140 (and @t4109 @t5771))))) % 53.50/53.74 (assume @p4496 (forall (@list @t3148 @t1 @t1153 @t2 @t49 @t1685 @t4854 @t8) (=> (forall @t7 (=> @t5048 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t1685 @t1685 @t49 @t5) @t1153) (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t1685 @t49 @t1153) @t4)))) (= (tptp.hAPP (tptp.c_List_Ofoldl @t1685 @t8 (tptp.hAPP (tptp.c_COMBC @t8 @t1685 @t1685) @t2) (tptp.hAPP @t1153 @t3148)) @t4854) (tptp.hAPP @t1153 (tptp.hAPP (tptp.c_List_Ofoldl @t49 @t8 (tptp.hAPP @t2807 @t1) @t3148) @t4854)))))) % 53.50/53.74 (assume @p4497 (forall @t147 (=> @t5778 (= @t408 (and @t145 (tptp.hBOOL (tptp.hAPP @t5776 (tptp.hAPP @t4379 (tptp.hAPP (tptp.hAPP @t5775 @t4193) @t1))))))))) % 53.50/53.74 (assume @p4498 (forall @t4508 (=> @t5779 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t2660) @t178)) (tptp.hBOOL (tptp.hAPP @t5776 (tptp.hAPP (tptp.hAPP @t4483 (tptp.c_Enum_Oenum__class_Oenum__ex @t49)) @t4189))))))) % 53.50/53.74 (assume @p4499 (forall @t4382 (=> @t5777 (= @t2442 @t5780)))) % 53.50/53.74 (assume @p4500 (forall @t4382 (=> @t5777 (= @t5780 @t2442)))) % 53.50/53.74 (assume @p4501 (forall (@list @t178 @t4851 @t49 @t4854 @t8) (=> (=> (= (tptp.hAPP @t4841 @t5782) (tptp.hAPP @t5069 @t5781)) (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t5075 @t5782) @t5781)))) (tptp.hBOOL (tptp.hAPP @t178 @t5077))))) % 53.50/53.74 (assume @p4502 (forall (@list @t5783 @t5784 @t5785 @t2733) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t2733 @t5785 @t5784 @t5783) (tptp.c_New__DSequence_Opos__not__seq @t5786)))) % 53.50/53.74 (assume @p4503 (forall @t5787 (=> @t5049 (= @t5752 (tptp.c_List_OdropWhile @t8 @t178 @t4851))))) % 53.50/53.74 (assume @p4504 (forall (@list @t178 @t33 @t49 @t13 @t8) (=> @t5575 (=> (forall @t1878 (=> (tptp.hBOOL (tptp.hAPP @t4988 @t5574)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t4983 @t13) @t1876)) (tptp.hAPP (tptp.hAPP @t5072 @t33) @t1876))))) @t5554)))) % 53.50/53.74 (assume @p4505 (forall @t135 (=> @t374 (=> @t335 (exists @t7 (and (= (tptp.hAPP @t5012 @t3) @t25) (tptp.c_List_Olinorder__class_Osorted @t8 @t3) (tptp.hBOOL (tptp.hAPP @t5158 @t3)) (forall @t1089 (=> (and (= (tptp.hAPP @t5012 @t429) @t25) (tptp.c_List_Olinorder__class_Osorted @t8 @t429) (tptp.hBOOL (tptp.hAPP @t5158 @t429))) @t4121)))))))) % 53.50/53.74 (assume @p4506 (forall @t5787 (=> @t5049 (= @t5741 (tptp.hAPP @t5264 (tptp.c_List_OtakeWhile @t8 @t178 @t4851)))))) % 53.50/53.74 (assume @p4507 (forall (@list @t13 @t2 @t4854 @t8 @t49) (=> @t5415 (=> (forall @t7 (=> @t5048 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t141 @t794) @t5)))) (= @t5428 (tptp.hAPP @t4899 @t4854)))))) % 53.50/53.74 (assume @p4508 (forall (@list @t4854 @t48 @t4851 @t178 @t8) (= (= @t5642 @t4910) @t5788))) % 53.50/53.74 (assume @p4509 (forall @t5742 (= (= @t4910 @t5642) @t5788))) % 53.50/53.74 (assume @p4510 (forall @t147 (=> @t5778 (= @t145 (tptp.hBOOL (tptp.hAPP @t5789 (tptp.hAPP (tptp.hAPP @t5775 (tptp.hAPP (tptp.hAPP @t4192 @t141) @t2)) @t1))))))) % 53.50/53.74 (assume @p4511 (forall @t4382 (=> @t5777 (= @t5790 @t2443)))) % 53.50/53.74 (assume @p4512 (forall @t4382 (=> @t5777 (= @t2443 @t5790)))) % 53.50/53.74 (assume @p4513 (forall @t4508 (=> @t5779 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t2660) @t178)) (tptp.hBOOL (tptp.hAPP @t5789 (tptp.hAPP (tptp.hAPP @t4483 (tptp.c_Enum_Oenum__class_Oenum__all @t49)) @t4189))))))) % 53.50/53.74 (assume @p4514 (forall @t5754 (=> @t5057 (=> @t5049 @t5753)))) % 53.50/53.74 (assume @p4515 (forall @t5018 (=> @t374 (=> @t5713 (=> @t5702 @t5714))))) % 53.50/53.74 (assume @p4516 (forall @t5630 (= @t5792 (exists @t1878 (and @t4989 @t5791))))) % 53.50/53.74 (assume @p4517 (forall @t4929 (= @t5031 (exists @t5766 (and (exists @t5764 @t5793) (not (tptp.hBOOL (tptp.hAPP @t148 @t5763)))))))) % 53.50/53.74 (assume @p4518 (forall @t4382 (not (tptp.c_List_Olist__ex @t8 @t178 @t5185)))) % 53.50/53.74 (assume @p4519 (forall @t5643 (= (tptp.c_List_Olist__ex @t8 @t178 @t5280) (or @t5792 (tptp.c_List_Olist__ex @t8 @t178 @t4851))))) % 53.50/53.74 (assume @p4520 (forall @t5630 (= @t5792 @t5794))) % 53.50/53.74 (assume @p4521 (forall @t5630 (= (tptp.c_List_Olist__ex @t8 @t178 @t5726) @t5792))) % 53.50/53.74 (assume @p4522 (forall @t5540 (= (tptp.c_List_Olist__ex @t8 @t178 @t4910) (or @t310 @t5792)))) % 53.50/53.74 (assume @p4523 (forall @t4929 (= @t5031 (exists @t5795 @t5793)))) % 53.50/53.74 (assume @p4524 (forall @t4929 (= @t5031 (exists @t5795 (and @t5793 (not (tptp.hBOOL (tptp.hAPP @t148 @t5762)))))))) % 53.50/53.74 (assume @p4525 (forall @t5630 (= @t5796 (forall @t1878 (=> @t4989 @t5791))))) % 53.50/53.74 (assume @p4526 (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) @t1987))) % 53.50/53.74 (assume @p4527 (forall @t4382 (tptp.c_List_Olist__all @t8 @t178 @t5185))) % 53.50/53.74 (assume @p4528 (forall @t5643 (= (tptp.c_List_Olist__all @t8 @t178 @t5280) (and @t5796 (tptp.c_List_Olist__all @t8 @t178 @t4851))))) % 53.50/53.74 (assume @p4529 (forall @t96 (=> (tptp.class_Nat_Osize @t8) (tptp.c_FunDef_Ois__measure @t8 (tptp.c_Nat_Osize__class_Osize @t8))))) % 53.50/53.74 (assume @p4530 (forall @t4131 @t5797)) % 53.50/53.74 (assume @p4531 (forall @t14 (tptp.c_FunDef_Ois__measure @t8 @t13))) % 53.50/53.74 (assume @p4532 (forall @t5630 (= @t5796 @t5049))) % 53.50/53.74 (assume @p4533 (forall @t5798 (=> @t5797 (tptp.c_FunDef_Ois__measure @t2660 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 tptp.tc_Nat_Onat @t2660) @t2) @t3149))))) % 53.50/53.74 (assume @p4534 (forall @t5798 (=> @t5797 (tptp.c_FunDef_Ois__measure @t4005 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 tptp.tc_Nat_Onat @t4005) @t2) @t3135))))) % 53.50/53.74 (assume @p4535 (forall @t5630 (= (tptp.c_List_Olist__all @t8 @t178 @t5726) @t5796))) % 53.50/53.74 (assume @p4536 (forall @t5540 (= (tptp.c_List_Olist__all @t8 @t178 @t4910) (and @t310 @t5796)))) % 53.50/53.74 (assume @p4537 (forall @t5050 (= @t5049 @t5796))) % 53.50/53.74 (assume @p4538 (forall @t5540 (= (tptp.c_List_Olist__ex1 @t8 @t178 @t4910) (and (=> @t310 (tptp.c_List_Olist__all @t8 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t4387 @t4380)) @t4185) @t4854)) (=> @t5634 @t5799))))) % 53.50/53.74 (assume @p4539 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t1853 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 53.50/53.74 (assume @p4540 (forall @t4382 (not (tptp.c_List_Olist__ex1 @t8 @t178 @t5185)))) % 53.50/53.74 (assume @p4541 (= (tptp.hAPP @t5800 tptp.c_fFalse) @t1157)) % 53.50/53.74 (assume @p4542 (= (tptp.hAPP @t5800 tptp.c_fTrue) @t1157)) % 53.50/53.74 (assume @p4543 (forall @t5630 (= @t5799 (exists @t7 (and @t5048 @t180 (forall @t1089 (=> (and (tptp.hBOOL (tptp.hAPP @t1990 @t5014)) @t4453) @t4121))))))) % 53.50/53.74 (assume @p4544 (forall @t5807 (and (=> @t5805 (= @t5804 (tptp.c_Lazy__Sequence_Ohit__bound @t8))) (=> @t5806 (= @t5804 (tptp.c_Lazy__Sequence_Ohb__bind @t49 @t8 @t5803 @t5802)))))) % 53.50/53.74 (assume @p4545 (forall @t5807 (and (=> @t5805 (= @t5810 (tptp.c_Lazy__Sequence_Oempty @t8))) (=> @t5806 (= @t5810 (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t49 @t8 @t5803) @t5809)))))) % 53.50/53.74 (assume @p4546 (forall @t5815 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t49 @t8 @t2733 @t2 @t5785 @t5784 @t5783) (tptp.c_New__DSequence_Oneg__decr__bind @t49 @t8 @t5786 @t5814)))) % 53.50/53.74 (assume @p4547 (forall @t5815 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t49 @t8 @t2733 @t2 @t5785 @t5784 @t5783) (tptp.c_New__DSequence_Opos__decr__bind @t49 @t8 @t5786 @t5819)))) % 53.50/53.74 (assume @p4548 (forall @t5821 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t49 @t8 @t48 @t2) @t972) (tptp.c_Lazy__Sequence_Ohb__bind @t49 @t8 @t5820 @t5802)))) % 53.50/53.74 (assume @p4549 (forall (@list @t5822 @t98) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__empty @t98) @t5822) (tptp.c_Lazy__Sequence_Oempty @t98)))) % 53.50/53.74 (assume @p4550 (forall (@list @t5783 @t5784 @t5785 @t8) (= (tptp.c_New__Random__Sequence_Opos__empty @t8 @t5785 @t5784 @t5783) (tptp.c_New__DSequence_Opos__empty @t8)))) % 53.50/53.74 (assume @p4551 (forall @t5815 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t49 @t8 @t2733 @t2) @t5785) @t5784) @t5783) (tptp.c_New__DSequence_Oneg__bind @t49 @t8 @t5786 @t5814)))) % 53.50/53.74 (assume @p4552 (forall @t5821 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t49 @t8 @t48 @t2) @t972) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t49 @t8 @t5820) @t5809)))) % 53.50/53.74 (assume @p4553 (forall @t5824 (= (tptp.c_New__Random__Sequence_Oneg__map @t49 @t8 @t2 @t178) (tptp.c_New__Random__Sequence_Oneg__bind @t49 @t8 @t178 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5813) @t49 @t5823) @t2))))) % 53.50/53.74 (assume @p4554 (forall @t5825 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5823 @t48) @t5785) @t5784) @t5783) (tptp.c_New__DSequence_Oneg__single @t8 @t48)))) % 53.50/53.74 (assume @p4555 (forall @t5815 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t49 @t8 @t2733 @t2) @t5785) @t5784) @t5783) (tptp.c_New__DSequence_Opos__bind @t49 @t8 @t5786 @t5819)))) % 53.50/53.74 (assume @p4556 (forall @t5826 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t98 @t97) @t5822) (tptp.c_Lazy__Sequence_Ohb__single @t98 @t97)))) % 53.50/53.74 (assume @p4557 (forall @t5824 (= (tptp.c_New__Random__Sequence_Opos__map @t49 @t8 @t2 @t178) (tptp.c_New__Random__Sequence_Opos__bind @t49 @t8 @t178 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5818) @t49 @t5827) @t2))))) % 53.50/53.74 (assume @p4558 (forall @t5825 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5827 @t48) @t5785) @t5784) @t5783) (tptp.c_New__DSequence_Opos__single @t8 @t48)))) % 53.50/53.74 (assume @p4559 (forall @t4850 (= (tptp.hAPP @t4847 @t5828) @t5288))) % 53.50/53.74 (assume @p4560 (forall (@list @t4843 @t152 @t4844 @t97 @t98) (= (tptp.c_List_Osplice @t98 @t4901 @t5309) (tptp.hAPP @t4894 (tptp.hAPP @t5147 @t5828))))) % 53.50/53.74 (assume @p4561 (forall @t5157 (= (tptp.c_List_Osplice @t98 @t4844 @t5184) @t4844))) % 53.50/53.74 (assume @p4562 (forall @t5298 (= (tptp.c_List_Osplice @t98 @t5184 @t4843) @t4843))) % 53.50/53.74 (assume @p4563 (forall (@list @t5829 @t1132 @t98) (= (tptp.c_List_Osplice @t98 @t5830 @t5184) @t5830))) % 53.50/53.74 (assume @p4564 (forall @t5826 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t98 @t97) @t5822) (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle @t98) @t97)))) % 53.50/53.74 (assume @p4565 (forall @t2068 (= (tptp.c_Wellfounded_Oacyclic @t8 (tptp.hAPP @t4460 (tptp.hAPP @t3896 (tptp.c_Predicate_Oconversep @t8 @t8 @t2067)))) @t4589))) % 53.50/53.74 (assume @p4566 (forall @t4769 (= (tptp.c_Predicate_Oconversep @t49 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3397) @t2067) @t3148)) (tptp.hAPP (tptp.hAPP @t2773 @t5832) @t5831)))) % 53.50/53.74 (assume @p4567 (forall @t4769 (= (tptp.c_Predicate_Oconversep @t49 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3397) @t2067) @t3148)) (tptp.hAPP (tptp.hAPP @t2770 @t5832) @t5831)))) % 53.50/53.74 (assume @p4568 (forall @t4770 (= (tptp.c_Predicate_Oconversep @t49 @t8 (tptp.c_Predicate_Opred__comp @t49 @t1685 @t8 @t2067 @t3148)) (tptp.c_Predicate_Opred__comp @t8 @t1685 @t49 (tptp.c_Predicate_Oconversep @t1685 @t8 @t3148) (tptp.c_Predicate_Oconversep @t49 @t1685 @t2067))))) % 53.50/53.74 (assume @p4569 (forall @t96 (= (tptp.c_Predicate_Oconversep @t8 @t8 tptp.c_fequal) tptp.c_fequal))) % 53.50/53.74 (assume @p4570 (forall @t4526 (= (tptp.c_Predicate_Oconversep @t49 @t8 @t5833) @t2067))) % 53.50/53.74 (assume @p4571 (forall @t5836 (= @t5835 @t5834))) % 53.50/53.74 (assume @p4572 (forall (@list @t406 @t405 @t2067 @t49 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5833 @t405) @t406)) @t4971))) % 53.50/53.74 (assume @p4573 (forall @t4544 (=> @t3056 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5833 @t33) @t13))))) % 53.50/53.74 (assume @p4574 (forall @t5836 (=> @t5835 @t5834))) % 53.50/53.74 (assume @p4575 (forall @t167 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t8 @t8 (tptp.hAPP (tptp.hAPP @t4033 @t4379) tptp.c_fequal)) @t48) @t57)) @t373))) % 53.50/53.74 (assume @p4576 (forall (@list @t57 @t48 @t2067 @t49 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t8 @t49 @t4541) @t48) @t57)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4013 @t3164) @t4767))))) % 53.50/53.74 (assume @p4577 (forall (@list @t5839 @t5840 @t49 @t8) (= (tptp.c_Lazy__Sequence_Oproduct @t8 @t49 @t5840 @t5839) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t8 @t2660 @t5840) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5838 @t5837 @t8) (tptp.c_Lazy__Sequence_Obind @t49 @t2660 @t5839)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2764 @t5838 @t8) (tptp.hAPP (tptp.c_COMBB @t2660 @t5837 @t49) (tptp.c_Lazy__Sequence_Osingle @t2660))) @t2739)))))) % 53.50/53.74 (assume @p4578 (forall @t5842 (=> @t1205 (= (tptp.hAPP @t5379 @t5841) (tptp.c_List_Oreplicate @t98 @t1385 @t97))))) % 53.50/53.74 (assume @p4579 (forall @t4929 (= (tptp.c_List_Oreplicate @t8 (tptp.hAPP @t4841 @t5843) @t48) @t5843))) % 53.50/53.74 (assume @p4580 (forall @t5844 (= (tptp.hAPP @t4847 @t5841) @t658))) % 53.50/53.74 (assume @p4581 (forall (@list @t5845 @t676 @t8 @t49) (= (tptp.hAPP (tptp.hAPP @t5456 (tptp.hAPP @t2729 @t676)) @t5845) (tptp.c_List_Oreplicate @t8 (tptp.hAPP @t5069 @t5845) @t676)))) % 53.50/53.74 (assume @p4582 (forall @t5037 (= (tptp.hAPP @t5846 @t4901) (tptp.hAPP @t4894 (tptp.hAPP @t5846 @t4844))))) % 53.50/53.74 (assume @p4583 (forall @t5844 (= (tptp.c_List_Oreplicate @t98 @t659 @t97) (tptp.hAPP @t4894 @t5841)))) % 53.50/53.74 (assume @p4584 (forall @t5844 (= (tptp.hAPP @t5727 @t5841) @t5841))) % 53.50/53.74 (assume @p4585 (forall @t5849 (= (tptp.hAPP @t5162 @t5848) (tptp.c_List_Oreplicate @t98 (tptp.hAPP @t5847 @t726) @t97)))) % 53.50/53.74 (assume @p4586 (forall @t5849 (= (tptp.hAPP @t5341 @t5848) (tptp.c_List_Oreplicate @t98 (tptp.hAPP (tptp.hAPP @t541 @t726) @t730) @t97)))) % 53.50/53.74 (assume @p4587 (forall @t5842 (=> @t1205 (= (tptp.hAPP @t5368 @t5841) @t97)))) % 53.50/53.74 (assume @p4588 (forall @t5842 (=> @t1205 (= (tptp.c_List_Olast @t98 @t5841) @t97)))) % 53.50/53.74 (assume @p4589 (forall (@list @t152 @t727 @t97 @t730 @t8 @t98) (= (tptp.hAPP (tptp.hAPP @t5081 @t5850) (tptp.c_List_Oreplicate @t8 @t727 @t152)) (tptp.c_List_Oreplicate @t5084 (tptp.hAPP @t5847 @t727) @t3154)))) % 53.50/53.74 (assume @p4590 (forall @t5852 (= (forall @t7 (=> @t5851 @t180)) (or @t4362 @t1207)))) % 53.50/53.74 (assume @p4591 (forall @t5852 (= (exists @t7 (and @t5851 @t180)) (and @t4362 @t1208)))) % 53.50/53.74 (assume @p4592 (forall (@list @t57 @t672 @t48 @t673 @t8) (= (= (tptp.c_List_Oreplicate @t8 @t673 @t48) @t5853) (and @t702 (=> (not @t1210) @t165))))) % 53.50/53.74 (assume @p4593 (forall (@list @t97 @t98 @t658 @t730) (=> @t5029 (= (tptp.hAPP (tptp.hAPP @t4995 @t5841) @t730) @t97)))) % 53.50/53.74 (assume @p4594 (forall (@list @t726 @t97 @t658 @t98) (= (tptp.hAPP @t5846 @t5848) (tptp.hAPP (tptp.hAPP @t5272 @t5848) @t5841)))) % 53.50/53.74 (assume @p4595 (forall (@list @t97 @t662 @t658 @t98) (= (tptp.c_List_Oreplicate @t98 @t833 @t97) (tptp.hAPP @t5846 (tptp.c_List_Oreplicate @t98 @t662 @t97))))) % 53.50/53.74 (assume @p4596 (forall (@list @t672 @t8 @t48 @t178) (and (=> @t310 (= @t5855 @t5854)) (=> @t5634 (= @t5855 @t5185))))) % 53.50/53.74 (assume @p4597 (forall (@list @t730 @t98) (= (tptp.c_List_Oconcat @t98 (tptp.c_List_Oreplicate @t4846 @t730 @t5184)) @t5184))) % 53.50/53.74 (assume @p4598 (forall @t5856 (= (= @t5854 @t5185) @t1207))) % 53.50/53.74 (assume @p4599 (forall @t5856 (= (= @t5185 @t5854) @t1207))) % 53.50/53.74 (assume @p4600 (forall @t103 (= (tptp.c_List_Oreplicate @t98 @t1157 @t97) @t5184))) % 53.50/53.74 (assume @p4601 (forall (@list @t48 @t672 @t2 @t8 @t49) (= (tptp.hAPP @t5457 (tptp.c_List_Oreplicate @t49 @t672 @t48)) (tptp.c_List_Oreplicate @t8 @t672 @t94)))) % 53.50/53.74 (assume @p4602 (forall (@list @t57 @t672 @t48 @t8) (= (tptp.hBOOL (tptp.hAPP @t148 (tptp.hAPP @t5012 @t5853))) (and @t165 @t1208)))) % 53.50/53.74 (assume @p4603 (forall (@list @t97 @t730 @t98) (= (tptp.hAPP (tptp.hAPP @t5272 @t5850) @t5210) (tptp.hAPP @t4894 @t5850)))) % 53.50/53.74 (assume @p4604 (forall (@list @t972 @t48 @t8) (= (tptp.hAPP (tptp.hAPP @t5694 (tptp.hAPP (tptp.c_COMBK @t8 tptp.tc_Nat_Onat) @t48)) (tptp.c_List_Oupt @t1157 @t972)) (tptp.c_List_Oreplicate @t8 @t972 @t48)))) % 53.50/53.74 (assume @p4605 (forall @t5859 @t5858)) % 53.50/53.74 (assume @p4606 (forall @t5859 (and (=> @t1207 (= @t5857 @t30)) @t5858))) % 53.50/53.74 (assume @p4607 (forall @t5856 (= (tptp.hAPP @t5012 (tptp.c_List_Oreplicate @t8 @t692 @t48)) @t53))) % 53.50/53.74 (assume @p4608 (forall (@list @t35 @t8) (=> @t5863 (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4579 @t35) (tptp.c_Lazy__Sequence_Oappend @t4579 (tptp.hAPP @t5860 @t5185) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t5861) @t1982) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t4892 @t4579 (tptp.c_Lazy__Sequence_Oproduct @t8 @t4579 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t8 @t5862) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4579 @t5862))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t4579 @t5861) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4916 (tptp.tc_fun @t4579 @t5861) @t8) (tptp.hAPP (tptp.c_COMBB @t4579 @t5861 @t4579) @t5860)) @t4890)))) (tptp.c_Lazy__Sequence_Oempty @t4579))))))) % 53.50/53.74 (assume @p4609 (forall @t3927 (= (tptp.c_Predicate_Opred__comp @t8 @t8 @t8 tptp.c_fequal (tptp.c_Predicate_Opred__comp @t8 @t8 @t8 @t2733 tptp.c_fequal)) @t2733))) % 53.50/53.74 (assume @p4610 (forall (@list @t284 @t8 @t98) (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t98) @t5863) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t5084 @t284) (tptp.c_Lazy__Sequence_Oproduct @t98 @t8 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t98 @t284) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t8 @t284)))))) % 53.50/53.74 (assume @p4611 (forall (@list @t972 @t5864 @t5530 @t8) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__union @t8 @t5530 @t5864) @t972) (tptp.c_Lazy__Sequence_Oappend @t8 @t5865 (tptp.hAPP @t5864 @t972))))) % 53.50/53.74 (assume @p4612 (forall (@list @t5866 @t197 @t98) (= (tptp.hAPP @t5868 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t98 @t197 @t5866)) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t5868 @t5866)) @t1322)))) % 53.50/53.74 (assume @p4613 (forall (@list @t5869 @t5870 @t97 @t98) (= (tptp.c_Lazy__Sequence_Oappend @t98 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t98 @t97 @t5870) @t5869) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t98 @t97 (tptp.c_Lazy__Sequence_Oappend @t98 @t5870 @t5869))))) % 53.50/53.74 (assume @p4614 (forall (@list @t5871 @t1554 @t5872 @t13 @t8) (= (= @t5873 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t1554 @t5871)) (and @t1555 (= @t5872 @t5871))))) % 53.50/53.74 (assume @p4615 (forall (@list @t5783 @t5784 @t5785 @t3058 @t3057 @t8) (= (tptp.c_New__Random__Sequence_Opos__union @t8 @t3057 @t3058 @t5785 @t5784 @t5783) (tptp.c_New__DSequence_Opos__union @t8 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3057 @t5785) @t5784) @t5783) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3058 @t5785) @t5784) @t5783))))) % 53.50/53.74 (assume @p4616 (forall (@list @t5872 @t13 @t1550 @t8) (= (tptp.hAPP @t5874 @t5873) (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t1551 (tptp.hAPP @t5874 @t5872))) @t1322)))) % 53.50/53.74 (assume @p4617 (forall (@list @t730 @t284) (and (=> @t5877 (= @t5876 @t5878)) (=> (not @t5877) (= @t5876 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t5875 @t730) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t284 @t5214))))))) % 53.50/53.74 (assume @p4618 (forall (@list @t972 @t35) (=> (tptp.hBOOL (tptp.hAPP @t5881 (tptp.hAPP (tptp.hAPP @t2702 @t35) @t972))) (and (=> @t5880 (= @t5879 @t5878)) (=> (not @t5880) (= @t5879 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t5875 @t972) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t35 @t3539)))))))) % 53.50/53.74 (assume @p4619 (forall (@list @t284) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy tptp.tc_Int_Oint @t284) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t284 (tptp.hAPP @t2062 @t284))))) % 53.50/53.74 (assume @p4620 (forall @t3095 (=> (tptp.hBOOL (tptp.hAPP @t5881 @t3094)) (=> (forall (@list @t1365 @t1415) (=> (tptp.hBOOL (tptp.hAPP @t5881 (tptp.hAPP (tptp.hAPP @t2702 @t1365) @t1415))) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1604 @t1365) @t1415))) (tptp.hBOOL (tptp.hAPP @t1366 @t5250))) (tptp.hBOOL (tptp.hAPP @t1366 @t1415))))) @t3088)))) % 53.50/53.74 (assume @p4621 (forall (@list @t5530 @t8) (= (tptp.hAPP @t5884 @t5530) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t5889 @t1157 (tptp.hAPP @t5888 (tptp.hAPP (tptp.c_COMBK @t5887 @t8) (tptp.hAPP (tptp.hAPP @t5886 (tptp.hAPP @t5885 @t5884)) @t638))) @t5883)))) % 53.50/53.74 (assume @p4622 (forall (@list @t5530 @t3148 @t8) (= (tptp.hAPP @t5890 @t5530) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t5889 @t1157 (tptp.hAPP @t5888 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 tptp.tc_Nat_Onat @t5887) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5891 (tptp.tc_fun tptp.tc_Nat_Onat @t5887) @t8) @t5886) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5887 @t5891 @t8) @t5885) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5887 @t5887) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2708 (tptp.tc_fun @t5887 @t5887) @t8) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5808)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2708 @t8) @t796) @t3148))) @t5890)))) @t638)) @t5883)))) % 53.50/53.74 (assume @p4623 (forall (@list @t5530 @t1 @t2 @t49 @t8) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t8 @t49 @t2 @t1 @t5530) (tptp.c_Option_Ooption_Ooption__case @t8 (tptp.tc_prod @t49 @t5892) @t2 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t49 @t5892 @t8) @t1) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield @t49) @t5530))))) % 53.50/53.74 (assume @p4624 (forall @t96 (= (tptp.c_Lazy__Sequence_Oyieldn @t8) (tptp.c_Lazy__Sequence_Oanamorph @t5808 @t8 @t5882)))) % 53.50/53.74 (assume @p4625 (forall @t5895 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t8 @t49 @t1683 @t2638 @t5894) @t5893))) % 53.50/53.74 (assume @p4626 (forall @t5897 (=> @t5896 (tptp.c_Relation_Orefl__on @t49 (tptp.hAPP (tptp.hAPP @t3355 @t1067) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t3730) @t1067) @t2067))))) % 53.50/53.74 (assume @p4627 (forall @t4929 (= @t5031 @t5900))) % 53.50/53.74 (assume @p4628 (forall (@list @t152 @t98) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember @t98) @t5184) @t152))))) % 53.50/53.74 (assume @p4629 (forall @t96 (= @t5898 @t5012))) % 53.50/53.74 (assume @p4630 (forall @t5208 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5898 @t4910) @t57)) (or @t165 (tptp.hBOOL (tptp.hAPP @t5899 @t57)))))) % 53.50/53.74 (assume @p4631 (forall @t5018 (= @t5900 @t5031))) % 53.50/53.74 (assume @p4632 (forall @t1145 (=> @t1101 (=> (tptp.hBOOL (tptp.hAPP @t909 @t1067)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1060 @t1067)) @t2673)) (=> (forall (@list @t5902) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t5902) @t1067)) (forall (@list @t5901) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t5901) @t1067)) (=> (not (= @t5902 @t5901)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t181 @t5902)) (=> (tptp.hBOOL (tptp.hAPP @t181 @t5901)) @t1163)))))))) (= (tptp.hAPP @t1091 @t3711) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t29 @t49) @t1091) @t1067)))))))) % 53.50/53.74 (assume @p4633 (forall (@list @t35 @t8 @t178) (and (=> @t5904 (= @t5903 @t5571)) (=> (not @t5904) (= @t5903 @t35))))) % 53.50/53.74 (assume @p4634 (forall @t3535 (=> @t3669 (not (forall @t7 (=> @t183 (not @t3533))))))) % 53.50/53.74 (assume @p4635 (forall (@list @t1685 @t49 @t32 @t33 @t88 @t25 @t8) (=> @t3534 @t3363))) % 53.50/53.74 (assume @p4636 (forall @t2674 (=> (tptp.hBOOL (tptp.hAPP @t4991 @t1788)) (exists @t1878 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5598 @t1788)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 (tptp.hAPP @t4841 @t3)) @t1876)))))))) % 53.50/53.74 (assume @p4637 (forall @t1198 (= (tptp.hAPP @t5868 @t5905) @t1157))) % 53.50/53.74 (assume @p4638 (forall @t5207 (= (tptp.hAPP @t5874 @t5906) @t1157))) % 53.50/53.74 (assume @p4639 (forall (@list @t5869 @t98) (= (tptp.c_Lazy__Sequence_Oappend @t98 @t5905 @t5869) @t5869))) % 53.50/53.74 (assume @p4640 (forall @t5909 (not (= @t5908 @t5905)))) % 53.50/53.74 (assume @p4641 (forall @t5909 (not (= @t5905 @t5908)))) % 53.50/53.74 (assume @p4642 (forall @t5243 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t8 @t49 @t1683 @t2638 @t5910) @t1683))) % 53.50/53.74 (assume @p4643 (forall @t5912 (= (tptp.c_List_Olist__all tptp.tc_Int_Oint @t178 @t5099) @t5911))) % 53.50/53.74 (assume @p4644 (forall @t5912 (= (tptp.c_List_Olist__ex tptp.tc_Int_Oint @t178 @t5099) (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) @t178) @t972 @t971))))) % 53.50/53.74 (assume @p4645 (forall @t5912 (= @t5911 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t3598 @t3540)) @t180))))) % 53.50/53.74 (assume @p4646 (forall (@list @t5784 @t1 @t8 @t5785) (and (=> @t5923 (= @t5922 @t5924)) (=> (not @t5923) (= @t5922 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t3174 @t5915 @t3174 @t5919) (tptp.hAPP @t1 @t5784)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5921 @t5920 @t5915) (tptp.hAPP (tptp.c_Product__Type_Oscomp @t3174 @t5916 @t3174 @t5919) (tptp.c_Random__Sequence_ORandom @t8 @t1 (tptp.hAPP (tptp.hAPP @t2078 @t5785) @t2061) @t5784))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5917 @t5921 @t5915) (tptp.hAPP (tptp.c_COMBB @t5916 @t5920 @t5916) @t5918)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5916 @t5917 @t5915) (tptp.c_DSequence_Ounion @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t5916 @t5915) @t5914) (tptp.c_Product__Type_Ofst @t8 @t5913))))))))))) % 53.50/53.74 (assume @p4647 (forall (@list @t1685 @t2 @t305 @t2671 @t8 @t49 @t178) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t3139) (tptp.hAPP @t3165 @t2671))) (=> (forall @t435 (=> (tptp.hBOOL (tptp.hAPP @t3167 @t3)) (tptp.hBOOL (tptp.hAPP @t305 @t438)))) (tptp.hBOOL (tptp.hAPP @t305 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t49 @t8 @t1685) @t2) @t2671))))))) % 53.50/53.74 (assume @p4648 (forall (@list @t5784 @t5785 @t8) (= (tptp.c_Random__Sequence_Oempty @t8 @t5785 @t5784) @t5924))) % 53.50/53.74 (assume @p4649 (forall (@list @t5784 @t5785 @t48 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5925 @t48) @t5785) @t5784) (tptp.hAPP @t5918 (tptp.hAPP @t5914 @t48))))) % 53.50/53.74 (assume @p4650 (forall @t5824 (= (tptp.c_Random__Sequence_Omap @t49 @t8 @t2 @t178) (tptp.c_Random__Sequence_Obind @t49 @t8 @t178 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5920)) @t49 @t5925) @t2))))) % 53.50/53.74 (assume @p4651 (forall (@list @t25 @t178 @t8 @t49) (= (tptp.hAPP (tptp.c_Relation_OImage @t49 @t8 @t4506) @t25) (tptp.hAPP @t4359 (tptp.hAPP @t4484 (tptp.hAPP (tptp.hAPP @t3441 @t5926) @t4505)))))) % 53.50/53.74 (assume @p4652 (forall @t5050 (= @t5794 @t5792))) % 53.50/53.74 (assume @p4653 (forall @t96 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 tptp.tc_HOL_Obool) (tptp.c_Set_OBex @t8)))) % 53.50/53.74 (assume @p4654 (forall @t4382 (= (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t181 @t2651)) @t180)) @t2442))) % 53.50/53.74 (assume @p4655 (forall (@list @t305 @t49 @t25 @t8) (=> @t335 (= (tptp.hBOOL (tptp.hAPP @t346 (tptp.hAPP @t4371 (tptp.hAPP @t4450 (tptp.hAPP (tptp.hAPP @t3403 @t4198) @t305))))) (forall @t7 (=> @t183 (tptp.hBOOL (tptp.hAPP @t346 (tptp.hAPP @t4371 (tptp.hAPP @t4452 @t3)))))))))) % 53.50/53.74 (assume @p4656 (forall @t4382 (not (exists @t7 (and @t4592 @t180))))) % 53.50/53.74 (assume @p4657 (forall @t135 (= @t911 (tptp.hAPP @t4359 (tptp.hAPP (tptp.hAPP @t4607 @t4447) (tptp.hAPP (tptp.hAPP @t4606 (tptp.hAPP @t4444 (tptp.hAPP @t4441 @t4605))) @t75)))))) % 53.50/53.74 (assume @p4658 (forall @t3379 (= @t3673 (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t5927)))) % 53.50/53.74 (assume @p4659 (forall @t3379 (= @t3350 (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t5927)))) % 53.50/53.74 (assume @p4660 (forall @t2087 (=> @t814 (= (tptp.hAPP (tptp.c_Complete__Lattice_OSup__class_OSup @t50 @t25) @t48) (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t5930))))) % 53.50/53.74 (assume @p4661 (forall @t2087 (=> @t814 (= (tptp.hAPP (tptp.c_Complete__Lattice_OInf__class_OInf @t50 @t25) @t48) (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t5930))))) % 53.50/53.74 (assume @p4662 (forall @t4181 (=> @t4180 (=> @t4179 (=> @t4178 (=> (forall @t7 (=> @t4177 (exists @t571 (and @t4176 @t4168)))) (tptp.c_Wellfounded_Omax__extp @t8 @t2733 @t461 @t3518))))))) % 53.50/53.74 (assume @p4663 (forall (@list @t48 @t25 @t5933 @t1685 @t8 @t49) (= (tptp.c_Partial__Function_Ofun__lub @t49 @t8 @t1685 @t5933 @t25 @t48) (tptp.hAPP @t5933 (tptp.hAPP @t4371 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5931 tptp.tc_HOL_Obool @t49) (tptp.c_HOL_OEx @t4113)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5931 @t5931 @t49) (tptp.hAPP (tptp.c_COMBS @t4113 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2668 @t4113) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4113 @t5931 tptp.tc_HOL_Obool) (tptp.c_member @t4113)) @t25)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t49 @t5932 @t5931) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 (tptp.tc_fun @t5932 @t5931) @t49) (tptp.c_COMBB @t49 tptp.tc_HOL_Obool @t4113)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4113 @t1685 @t49) (tptp.c_COMBI @t4113)) @t48))))))))) % 53.50/53.74 (assume @p4664 (forall @t4751 (=> @t4933 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4960 @t79)) @t4930)) (=> @t5934 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4858 (tptp.hAPP @t4931 @t79)) @t4930))))))) % 53.50/53.74 (assume @p4665 (tptp.c_Relation_Otrans tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 53.50/53.74 (assume @p4666 (forall (@list @t3058 @t49 @t3057 @t8) (=> (tptp.c_Relation_Otrans @t8 @t3057) (=> (tptp.c_Relation_Otrans @t49 @t3058) (tptp.c_Relation_Otrans @t2660 (tptp.c_Wellfounded_Olex__prod @t8 @t49 @t3057 @t3058)))))) % 53.50/53.74 (assume @p4667 (forall @t2068 (=> @t5934 (tptp.c_Relation_Otrans @t8 @t4730)))) % 53.50/53.74 (assume @p4668 (forall @t4550 (=> @t5934 (tptp.c_Relation_Otrans @t49 @t4548)))) % 53.50/53.74 (assume @p4669 (forall @t2068 (=> @t5934 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 (tptp.hAPP @t4734 @t2067)) @t2067))))) % 53.50/53.74 (assume @p4670 (forall @t3830 (=> @t5934 (=> (tptp.c_Relation_Otrans @t8 @t3148) (tptp.c_Relation_Otrans @t8 @t4404))))) % 53.50/53.74 (assume @p4671 (forall @t2068 (=> @t5934 (tptp.c_Relation_Otrans @t4579 @t4958)))) % 53.50/53.74 (assume @p4672 (forall @t2068 (= (tptp.c_Relation_Otrans @t8 @t4761) @t5934))) % 53.50/53.74 (assume @p4673 (forall @t2068 (=> @t5934 (tptp.c_Relation_Otrans @t4579 @t4930)))) % 53.50/53.74 (assume @p4674 (forall @t96 (tptp.c_Relation_Otrans @t8 @t4729))) % 53.50/53.74 (assume @p4675 (forall @t2068 (=> @t5934 (= @t4706 @t2067)))) % 53.50/53.74 (assume @p4676 (forall @t2068 (tptp.c_Relation_Otrans @t8 @t4706))) % 53.50/53.74 (assume @p4677 (forall @t135 (tptp.c_Relation_Otrans @t8 @t3838))) % 53.50/53.74 (assume @p4678 (forall @t96 (tptp.c_Relation_Otrans @t29 @t3235))) % 53.50/53.74 (assume @p4679 (forall @t2068 (tptp.c_Relation_Otrans @t8 @t4724))) % 53.50/53.74 (assume @p4680 (forall (@list @t32 @t33 @t13 @t2067 @t8) (=> @t5934 (=> @t4041 (=> @t4721 (tptp.hBOOL (tptp.hAPP @t4715 @t2067))))))) % 53.50/53.74 (assume @p4681 (forall @t2068 (= @t5934 (forall @t435 (=> @t4092 (forall @t1530 (=> @t5935 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t2961 @t1529)) @t2067))))))))) % 53.50/53.74 (assume @p4682 (forall @t2068 (= @t5936 (tptp.c_Relation_Otrans @t8 @t4473)))) % 53.50/53.74 (assume @p4683 (forall @t2068 (=> @t5934 (=> @t5937 (tptp.c_Relation_Otrans @t8 @t4740))))) % 53.50/53.74 (assume @p4684 (forall @t3830 (=> @t3829 (=> (tptp.c_Relation_Oantisym @t8 @t3148) @t5937)))) % 53.50/53.74 (assume @p4685 (forall @t96 (tptp.c_Relation_Oantisym @t8 @t4729))) % 53.50/53.74 (assume @p4686 (forall @t4806 (=> @t5936 (=> @t4974 (=> (tptp.hBOOL (tptp.hAPP @t5938 @t79)) (tptp.hBOOL (tptp.hAPP @t4488 @t79))))))) % 53.50/53.74 (assume @p4687 (forall @t2068 (= (tptp.c_Relation_Oantisym @t8 @t4761) @t5937))) % 53.50/53.74 (assume @p4688 (forall @t96 (tptp.c_Relation_Oantisym @t8 @t2947))) % 53.50/53.74 (assume @p4689 (forall @t135 (tptp.c_Relation_Oantisym @t8 @t3838))) % 53.50/53.74 (assume @p4690 (forall @t5940 (=> @t5937 (=> @t4041 (=> @t5939 @t44))))) % 53.50/53.74 (assume @p4691 (forall @t2068 (= @t5937 (forall @t435 (=> @t4092 (=> @t4704 @t4679)))))) % 53.50/53.74 (assume @p4692 (forall @t2068 (= (tptp.c_Relation_Oantisym @t8 @t4730) @t5937))) % 53.50/53.74 (assume @p4693 (forall @t2068 (=> @t4593 (tptp.c_Relation_Oantisym @t8 @t4724)))) % 53.50/53.74 (assume @p4694 (forall @t3927 (=> @t4073 (not (=> @t5944 @t5943))))) % 53.50/53.74 (assume @p4695 (forall @t3927 (=> @t5944 (=> @t5942 (=> @t5941 @t4073))))) % 53.50/53.74 (assume @p4696 (forall @t4731 (=> @t5945 (=> @t4974 (tptp.hBOOL (tptp.hAPP @t5938 @t48)))))) % 53.50/53.74 (assume @p4697 (forall @t3927 (= @t4073 (and @t5944 @t5942 @t5941)))) % 53.50/53.74 (assume @p4698 (forall @t2068 (=> @t5946 (=> @t5934 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2946 @t4779) @t2067)))))) % 53.50/53.74 (assume @p4699 (forall (@list @t8 @t2733) (=> @t5949 (=> @t5942 (=> @t5941 @t5947))))) % 53.50/53.74 (assume @p4700 (forall @t2068 (= @t5946 (forall @t435 (=> @t4092 @t4704))))) % 53.50/53.74 (assume @p4701 (forall @t5940 (=> @t5946 (=> @t4041 @t5939)))) % 53.50/53.74 (assume @p4702 (forall @t2068 (tptp.c_Relation_Osym @t8 (tptp.hAPP @t3832 @t4761)))) % 53.50/53.74 (assume @p4703 (forall @t3927 (=> @t4073 @t5947))) % 53.50/53.74 (assume @p4704 (forall @t2068 (=> @t5946 (tptp.c_Relation_Osym @t8 @t4724)))) % 53.50/53.74 (assume @p4705 (forall @t135 (tptp.c_Relation_Osym @t8 @t3838))) % 53.50/53.74 (assume @p4706 (forall @t4074 (=> @t5947 @t4072))) % 53.50/53.74 (assume @p4707 (forall @t4076 (=> @t5947 @t4075))) % 53.50/53.74 (assume @p4708 (forall @t3927 (= @t5947 (and @t5949 (forall @t435 (= @t4082 (and @t5948 (tptp.hBOOL (tptp.hAPP @t4079 @t429)) @t4081))))))) % 53.50/53.74 (assume @p4709 (forall @t2068 (=> @t5946 (tptp.c_Relation_Osym @t8 @t4706)))) % 53.50/53.74 (assume @p4710 (forall @t3830 (=> @t5946 (=> @t5950 (tptp.c_Relation_Osym @t8 @t3833))))) % 53.50/53.74 (assume @p4711 (forall @t96 (tptp.c_Relation_Osym @t8 @t4729))) % 53.50/53.74 (assume @p4712 (forall @t2068 (= (tptp.c_Relation_Osym @t8 @t4761) @t5946))) % 53.50/53.74 (assume @p4713 (forall @t2068 (= @t5946 (= @t4761 @t2067)))) % 53.50/53.74 (assume @p4714 (forall @t2068 (=> @t5946 (tptp.c_Relation_Osym @t4579 @t4958)))) % 53.50/53.74 (assume @p4715 (forall @t3830 (=> @t5946 (=> @t5950 (tptp.c_Relation_Osym @t8 @t4404))))) % 53.50/53.74 (assume @p4716 (forall @t4550 (=> @t5946 (tptp.c_Relation_Osym @t49 @t4548)))) % 53.50/53.74 (assume @p4717 (forall @t2068 (tptp.c_Relation_Osym @t8 (tptp.hAPP @t4403 @t4761)))) % 53.50/53.74 (assume @p4718 (forall @t4037 (=> @t4044 (not (=> @t4342 (=> @t5946 (not @t5934))))))) % 53.50/53.74 (assume @p4719 (forall @t4037 (=> @t4342 (=> @t5946 (=> @t5934 @t4044))))) % 53.50/53.74 (assume @p4720 (forall @t4037 (= @t4044 (and @t4342 @t5946 @t5934)))) % 53.50/53.74 (assume @p4721 (forall @t2068 (= @t5945 (tptp.c_Relation_Osym @t8 @t4473)))) % 53.50/53.74 (assume @p4722 (forall @t3927 (= @t5947 (and @t5949 @t5942 @t5941)))) % 53.50/53.74 (assume @p4723 (forall @t3927 (=> @t5947 (not (=> @t5949 @t5943))))) % 53.50/53.74 (assume @p4724 (forall @t3927 (=> @t5947 (exists @t1369 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1045 @t1365) (tptp.hAPP (tptp.hAPP @t4439 @t4433) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t29 @t29 @t29) (tptp.hAPP @t4197 (tptp.hAPP @t3893 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t8 tptp.tc_HOL_Obool) @t2733) @t2822)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t29 @t3059 @t29) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1048 (tptp.tc_fun @t3059 @t29) @t29) @t4184) tptp.c_fequal)) @t2733))))))))) % 53.50/53.74 (assume @p4725 (forall @t1227 (=> @t4114 @t5952))) % 53.50/53.74 (assume @p4726 (forall @t1227 (= @t4114 @t5952))) % 53.50/53.74 (assume @p4727 (forall @t3868 (=> @t3867 (tptp.c_Fun_Oinj__on @t8 @t49 @t5953 @t88)))) % 53.50/53.74 (assume @p4728 (forall (@list @t1067 @t25 @t2 @t49 @t8) (=> @t4106 (=> (tptp.hBOOL (tptp.hAPP @t1423 @t25)) (= (tptp.hAPP (tptp.c_Set_Oimage @t49 @t8 @t5954) @t4678) @t1067))))) % 53.50/53.74 (assume @p4729 (forall @t3875 (=> @t3904 (tptp.c_Fun_Oinj__on @t8 @t49 @t5955 @t2651)))) % 53.50/53.74 (assume @p4730 (forall (@list @t461 @t2 @t49 @t8) (=> @t4114 (= (tptp.hAPP @t5956 (tptp.hAPP @t3860 @t461)) @t461)))) % 53.50/53.74 (assume @p4731 (forall @t2720 (=> @t4114 (= (tptp.hAPP @t5956 @t3862) @t25)))) % 53.50/53.74 (assume @p4732 (forall @t1227 (=> @t4114 (= (tptp.hAPP @t5956 @t2653) @t2651)))) % 53.50/53.74 (assume @p4733 (forall (@list @t57 @t2 @t49 @t8) (= @t5957 (tptp.c_Hilbert__Choice_OEps @t8 (tptp.hAPP @t4195 @t57))))) % 53.50/53.74 (assume @p4734 (forall (@list @t4339 @t4002 @t25 @t2 @t8 @t49) (=> @t4340 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4339) @t4002)) (= (tptp.hAPP @t3842 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t49 @t5953) @t4339)) @t4339))))) % 53.50/53.74 (assume @p4735 (forall @t3876 (=> @t3904 (= (tptp.hAPP @t3842 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t49 @t5955) @t25)) @t25)))) % 53.50/53.74 (assume @p4736 (forall (@list @t57 @t2 @t8 @t49) (=> @t3904 (= (tptp.hAPP @t2 (tptp.hAPP @t5955 @t57)) @t57)))) % 53.50/53.74 (assume @p4737 (forall @t3875 (= @t3904 (forall @t7 (= (tptp.hAPP @t2 (tptp.hAPP @t5955 @t3)) @t3))))) % 53.50/53.74 (assume @p4738 (forall (@list @t57 @t48 @t2 @t25 @t49 @t8) (=> (= @t5959 @t5958) (=> @t4155 (=> @t4138 @t165))))) % 53.50/53.74 (assume @p4739 (forall (@list @t25 @t2 @t49 @t48 @t8) (=> (tptp.hBOOL (tptp.hAPP @t148 @t3843)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t343 (tptp.hAPP @t5953 @t48)) @t25))))) % 53.50/53.74 (assume @p4740 (forall (@list @t25 @t2 @t49 @t57 @t8) (=> (tptp.hBOOL (tptp.hAPP @t189 @t3843)) (= (tptp.hAPP @t2 (tptp.hAPP @t5953 @t57)) @t57)))) % 53.50/53.74 (assume @p4741 (forall @t4110 (=> @t4106 (=> @t149 (=> @t3957 (= @t5958 @t48)))))) % 53.50/53.74 (assume @p4742 (forall @t4157 (=> @t4106 (=> @t149 (= (tptp.hAPP @t5954 @t94) @t48))))) % 53.50/53.74 (assume @p4743 (forall @t3955 (=> @t4114 (= (tptp.hAPP @t5951 @t94) @t48)))) % 53.50/53.74 (assume @p4744 (forall @t3963 (=> @t4114 (=> @t3957 (= @t5957 @t48))))) % 53.50/53.74 (assume @p4745 (forall @t96 (= (tptp.c_Hilbert__Choice_Oinv__into @t8 @t8 @t2651 @t4485) @t4485))) % 53.50/53.74 (assume @p4746 (forall @t4200 (= @t5959 (tptp.c_Hilbert__Choice_OEps @t8 @t4199)))) % 53.50/53.74 (assume @p4747 (forall @t2759 (=> @t4114 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t1685 @t8 (tptp.hAPP @t4636 @t5951)) @t2) @t1)))) % 53.50/53.74 (assume @p4748 (forall @t4657 (=> @t4656 (=> @t4655 (=> @t4654 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t1685 @t49 @t25 @t4637) @t48) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t1685 @t49 (tptp.c_Hilbert__Choice_Oinv__into @t1685 @t8 @t25 @t1)) (tptp.c_Hilbert__Choice_Oinv__into @t8 @t49 @t4653 @t2)) @t48))))))) % 53.50/53.74 (assume @p4749 (forall @t3875 (= @t3904 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t49 @t8 @t8 @t2) @t5955) @t4485)))) % 53.50/53.74 (assume @p4750 (forall (@list @t48 @t178 @t2 @t49 @t8) (=> @t4114 (=> (forall @t1089 (=> (tptp.hBOOL (tptp.hAPP @t4319 @t4122)) (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t5951 @t429))))) @t310)))) % 53.50/53.74 (assume @p4751 (forall (@list @t1 @t25 @t49 @t3365 @t8 @t1685) (=> @t4305 (=> (tptp.hBOOL (tptp.hAPP @t334 @t3365)) (=> (forall @t7 (=> @t3369 @t3368)) (=> (forall @t7 (=> @t3369 (forall @t571 (=> (tptp.hBOOL (tptp.hAPP @t570 @t3365)) (=> @t569 (= (tptp.hAPP (tptp.hAPP @t628 @t3367) (tptp.hAPP @t25 @t567)) @t81)))))) (= (tptp.hAPP @t5960 @t3713) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4304 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 @t1685 @t8) @t5960) @t25)) @t4299) @t3365)))))))) % 53.50/53.74 (assume @p4752 (forall @t4210 (=> @t5504 (not (forall @t7 (not (= @t57 @t5961))))))) % 53.50/53.74 (assume @p4753 (forall @t4238 (=> @t5504 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t178 @t5961))) @t4237)))) % 53.50/53.74 (assume @p4754 (forall @t1929 (not (forall @t1089 (=> (= @t48 @t5963) (not @t5962)))))) % 53.50/53.74 (assume @p4755 (forall @t4604 (=> (forall @t1089 (=> @t5962 (tptp.hBOOL (tptp.hAPP @t178 @t5963)))) @t310))) % 53.50/53.74 (assume @p4756 (forall @t5243 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t8 @t49 @t1683 @t2638 @t5910) @t1683))) % 53.50/53.74 (assume @p4757 (forall @t2120 (and (=> @t2693 (= @t5964 @t740)) (=> @t2694 (= @t5964 @t2077))))) % 53.50/53.74 (assume @p4758 (forall @t1835 (= (tptp.c_Quickcheck_Obeyond @t726 @t2077) @t2077))) % 53.50/53.74 (assume @p4759 (forall @t5895 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t8 @t49 @t1683 @t2638 @t5894) (tptp.hAPP @t5893 (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t8 @t49 @t1683 @t2638 @t5872))))) % 53.50/53.74 (assume @p4760 (forall @t4385 (=> @t5965 (= (tptp.hAPP @t3860 @t4360) (tptp.hAPP @t4371 (tptp.hAPP (tptp.hAPP @t5744 @t178) @t5951)))))) % 53.50/53.74 (assume @p4761 (forall (@list @t57 @t48 @t32 @t8 @t1685 @t49) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t49 @t1685 @t8 @t32) @t48) @t57) (tptp.hAPP @t32 @t3429)))) % 53.50/53.74 (assume @p4762 (forall (@list @t33 @t13 @t49 @t8 @t2) (=> @t5967 @t5966))) % 53.50/53.74 (assume @p4763 (forall @t135 (tptp.c_Fun_Obij__betw @t8 @t8 @t4485 @t25 @t25))) % 53.50/53.74 (assume @p4764 (forall @t4218 (=> @t5965 @t4152))) % 53.50/53.74 (assume @p4765 (forall @t2759 (=> @t5965 (=> (tptp.c_Fun_Obij__betw @t1685 @t8 @t1 @t4325 @t2651) (= (tptp.c_Hilbert__Choice_Oinv__into @t1685 @t49 @t4325 @t4637) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t1685 @t49 (tptp.c_Hilbert__Choice_Oinv__into @t1685 @t8 @t4325 @t1)) @t5951)))))) % 53.50/53.74 (assume @p4766 (forall @t1227 (=> @t5965 (= (tptp.c_Hilbert__Choice_Oinv__into @t49 @t8 @t2653 @t5951) @t2)))) % 53.50/53.74 (assume @p4767 (forall @t1227 (=> @t5965 (tptp.c_Fun_Obij__betw @t49 @t8 @t5951 @t2653 @t2651)))) % 53.50/53.74 (assume @p4768 (forall (@list @t13 @t4002 @t25 @t2 @t49 @t8) (=> @t5968 (=> @t118 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t49 @t8 @t4002 @t5954) @t13) @t794))))) % 53.50/53.74 (assume @p4769 (forall @t3859 (=> @t5969 (tptp.c_Fun_Obij__betw @t49 @t8 @t5954 @t88 @t25)))) % 53.50/53.74 (assume @p4770 (forall @t3079 (= (tptp.c_Product__Type_Ocurry @t8 @t49 @t1685 @t3906) @t2))) % 53.50/53.74 (assume @p4771 (forall @t3079 (= (tptp.hAPP @t3067 (tptp.c_Product__Type_Ocurry @t8 @t49 @t1685 @t2)) @t2))) % 53.50/53.74 (assume @p4772 (forall @t2720 (=> @t5965 (= @t4146 @t4145)))) % 53.50/53.74 (assume @p4773 (forall (@list @t227 @t171 @t88 @t25 @t2 @t49 @t8) (=> @t5969 (=> (tptp.c_Fun_Obij__betw @t8 @t49 @t2 @t171 @t227) (=> (= (tptp.hAPP (tptp.hAPP @t628 @t88) @t227) @t81) (tptp.c_Fun_Obij__betw @t8 @t49 @t2 @t172 (tptp.hAPP (tptp.hAPP @t490 @t88) @t227))))))) % 53.50/53.74 (assume @p4774 (forall (@list @t2 @t4339 @t4002 @t49 @t88 @t25 @t8) (=> @t489 (=> (= (tptp.hAPP (tptp.hAPP @t628 @t4002) @t4339) @t81) (=> @t5968 (=> @t5970 (tptp.c_Fun_Obij__betw @t8 @t49 @t2 @t131 (tptp.hAPP (tptp.hAPP @t490 @t4002) @t4339)))))))) % 53.50/53.74 (assume @p4775 (forall @t96 (tptp.c_Fun_Obij__betw @t8 @t8 @t4485 @t2651 @t2651))) % 53.50/53.74 (assume @p4776 (forall @t116 (= (tptp.c_Fun_Obij__betw @t8 @t8 @t4485 @t25 @t88) @t112))) % 53.50/53.74 (assume @p4777 (forall @t1152 (=> @t335 (=> @t495 (= (exists @t3917 (tptp.c_Fun_Obij__betw @t8 @t49 @t3916 @t25 @t88)) @t4140))))) % 53.50/53.74 (assume @p4778 (forall @t3859 (=> @t5969 (= @t335 @t495)))) % 53.50/53.74 (assume @p4779 (forall @t2720 (=> (tptp.c_Fun_Obij__betw @t8 @t49 @t2 @t30 @t25) @t3874))) % 53.50/53.74 (assume @p4780 (forall @t2720 (=> (tptp.c_Fun_Obij__betw @t8 @t49 @t2 @t25 @t81) @t67))) % 53.50/53.74 (assume @p4781 (forall @t3859 (=> @t5969 @t4140))) % 53.50/53.74 (assume @p4782 (forall @t3859 (=> @t5969 (tptp.c_Fun_Obij__betw @t49 @t8 @t4153 @t88 @t25)))) % 53.50/53.74 (assume @p4783 (forall @t1227 (=> @t5965 @t4114))) % 53.50/53.74 (assume @p4784 (forall @t3859 (=> @t5969 @t4106))) % 53.50/53.74 (assume @p4785 (forall @t3859 (= @t5969 (and @t4106 (= @t3862 @t88))))) % 53.50/53.74 (assume @p4786 (forall @t2720 (=> @t4106 (tptp.c_Fun_Obij__betw @t8 @t49 @t2 @t25 @t3862)))) % 53.50/53.74 (assume @p4787 (forall @t2720 (=> (tptp.c_Fun_Obij__betw @t8 @t49 @t2 @t25 @t2653) @t5971))) % 53.50/53.74 (assume @p4788 (forall @t1227 (=> @t5965 @t5971))) % 53.50/53.74 (assume @p4789 (forall (@list @t4339 @t88 @t4002 @t25 @t2 @t49 @t8) (=> @t5968 (=> @t114 (=> (= @t3861 @t4339) @t5970))))) % 53.50/53.74 (assume @p4790 (forall @t1227 (= @t5965 (and @t4114 @t5971)))) % 53.50/53.74 (assume @p4791 (forall @t1227 (=> @t4114 (=> @t5971 @t5965)))) % 53.50/53.74 (assume @p4792 (forall @t4223 (=> (tptp.c_Fun_Obij__betw @t8 @t49 @t1153 @t2651 @t2653) (= @t4222 @t4221)))) % 53.50/53.74 (assume @p4793 (forall @t3074 (=> @t5966 @t5967))) % 53.50/53.74 (assume @p4794 (forall @t3073 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t49 @t1685 @t8 @t2) @t13) @t33) (tptp.hAPP @t2 @t3070)))) % 53.50/53.74 (assume @p4795 (forall (@list @t25 @t2 @t1685 @t5972 @t4002 @t4626 @t49 @t8) (=> (tptp.c_Fun_Obij__betw @t8 @t49 @t4626 @t4002 @t5972) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t4234) @t4002)) (= (tptp.c_Fun_Obij__betw @t1685 @t8 @t2 @t25 @t4002) (tptp.c_Fun_Obij__betw @t1685 @t49 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t49 @t1685 @t4626) @t2) @t25 @t5972)))))) % 53.50/53.74 (assume @p4796 (forall @t2759 (=> @t5965 (=> (tptp.c_Fun_Obij__betw @t49 @t1685 @t1 @t2653 @t4325) (tptp.c_Fun_Obij__betw @t8 @t1685 @t4639 @t2651 @t4325))))) % 53.50/53.74 (assume @p4797 (forall (@list @t171 @t1 @t1685 @t88 @t25 @t2 @t49 @t8) (=> @t5969 (=> (tptp.c_Fun_Obij__betw @t49 @t1685 @t1 @t88 @t171) (tptp.c_Fun_Obij__betw @t8 @t1685 @t4639 @t25 @t171))))) % 53.50/53.74 (assume @p4798 (forall (@list @t5972 @t4626 @t1685 @t4002 @t25 @t2 @t49 @t8) (=> @t5968 (= (tptp.c_Fun_Obij__betw @t49 @t1685 @t4626 @t4002 @t5972) (tptp.c_Fun_Obij__betw @t8 @t1685 @t4640 @t25 @t5972))))) % 53.50/53.74 (assume @p4799 (forall @t4108 (=> @t5965 (= @t4227 @t3879)))) % 53.50/53.74 (assume @p4800 (forall @t2720 (=> @t5965 (= @t4215 (tptp.hAPP @t5956 @t25))))) % 53.50/53.74 (assume @p4801 (forall @t2674 (=> @t5976 (exists @t5975 (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat @t8 @t5974 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t638 @t5973) @t1788))))) % 53.50/53.74 (assume @p4802 (forall @t4144 (=> @t4106 (=> @t4143 (=> @t4142 (=> @t4141 (exists @t5975 (tptp.c_Fun_Obij__betw @t8 @t49 @t5974 @t25 @t88)))))))) % 53.50/53.74 (assume @p4803 (forall @t2674 (=> @t5976 (exists @t5975 (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat @t8 @t5974 @t5977 @t1788))))) % 53.50/53.74 (assume @p4804 (forall @t2674 (=> @t5976 (exists @t5975 (tptp.c_Fun_Obij__betw @t8 tptp.tc_Nat_Onat @t5974 @t1788 @t5977))))) % 53.50/53.74 (assume @p4805 (forall @t5897 (=> @t5896 (tptp.c_Relation_Orefl__on @t49 (tptp.hAPP (tptp.hAPP @t3661 @t1067) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t3730) @t1067) @t2067))))) % 53.50/53.74 (assume @p4806 (forall (@list @t178 @t2733 @t8) (=> @t4073 (= @t5979 @t2442)))) % 53.50/53.74 (assume @p4807 (forall @t4078 (= (tptp.hBOOL (tptp.hAPP @t5978 @t48)) @t4077))) % 53.50/53.74 (assume @p4808 (forall @t4688 (= (tptp.hBOOL (tptp.hAPP @t148 @t5978)) @t4077))) % 53.50/53.74 (assume @p4809 (forall (@list @t178 @t305 @t2733 @t8) (=> @t4073 (=> (forall @t7 (=> @t4824 @t180)) (=> (exists @t2441 (tptp.hBOOL (tptp.hAPP @t305 @t2439))) @t5979))))) % 53.50/53.74 (assume @p4810 (forall (@list @t178 @t49 @t2733 @t8) (=> @t4073 (= (tptp.c_Quotient_OBabs @t8 @t49 @t5978 @t178) @t178)))) % 53.50/53.74 (assume @p4811 (forall (@list @t673 @t49 @t2671 @t48 @t8) (=> (tptp.hBOOL (tptp.hAPP @t148 @t2671)) (= (tptp.hAPP (tptp.c_Quotient_OBabs @t8 @t49 @t2671 @t673) @t48) (tptp.hAPP @t673 @t48))))) % 53.50/53.74 (assume @p4812 (forall (@list @t2067 @t2 @t8) (=> @t4762 (=> @t4707 (exists @t1419 (forall @t941 (= (tptp.hAPP @t2 (tptp.hAPP @t2647 @t939)) @t1899))))))) % 53.50/53.74 (assume @p4813 (forall @t3417 (=> (forall @t7 (=> @t183 (tptp.hBOOL (tptp.hAPP @t5980 @t3376)))) (tptp.hBOOL (tptp.hAPP @t5980 @t3357))))) % 53.50/53.74 (assume @p4814 (forall (@list @t1 @t2 @t49 @t25 @t88 @t8) (=> @t114 (=> (forall @t7 (=> @t183 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 (tptp.hAPP @t3356 @t2)) (tptp.hAPP @t3356 @t1))))))) % 53.50/53.74 (assume @p4815 (forall @t5997 (=> @t5996 (=> @t5994 (=> (forall @t3066 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3234 (tptp.hAPP @t5993 @t3065)) @t5990)) (forall (@list @t5985 @t5984) (=> @t5989 (=> @t3090 @t5986))))) @t5983))))) % 53.50/53.74 (assume @p4816 (forall (@list @t2067 @t5998 @t5999 @t6001 @t3585 @t49 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3234 (tptp.hAPP @t6003 @t6000)) @t5990)) (=> (not (= @t6002 @t6000)) (not (forall @t3066 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3234 (tptp.hAPP @t6003 @t3065)) @t2067)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3234 (tptp.hAPP @t5988 @t6000)) @t5990)))))))))) % 53.50/53.74 (assume @p4817 (forall @t5997 (=> @t5996 (=> @t5983 (=> (forall (@list @t440 @t1391 @t5985 @t5984) (=> @t5989 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3234 (tptp.hAPP (tptp.hAPP @t3233 @t5987) @t5995)) @t5990)) (=> @t5986 @t3090)))) @t5994))))) % 53.50/53.74 (assume @p4818 (forall (@list @t49 @t2 @t2067 @t8) (=> (forall (@list @t429 @t1529) (=> @t5935 (= @t4093 (tptp.hAPP @t2 @t1529)))) @t4090))) % 53.50/53.74 (assume @p4819 (forall (@list @t1685 @t2 @t4059 @t49 @t4062 @t8) (=> (forall (@list @t6007 @t6005) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t2960 @t6007) @t6005)) @t4062)) (forall (@list @t6006 @t6004) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3231 (tptp.hAPP (tptp.hAPP @t3229 @t6006) @t6004)) @t4059)) (= (tptp.hAPP (tptp.hAPP @t2 @t6007) @t6006) (tptp.hAPP (tptp.hAPP @t2 @t6005) @t6004)))))) @t4083))) % 53.50/53.74 (assume @p4820 (forall (@list @t6008 @t5870 @t98) (= (tptp.c_Lazy__Sequence_Oflat @t98 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t5867 @t5870 @t6008)) (tptp.c_Lazy__Sequence_Oappend @t98 @t5870 (tptp.c_Lazy__Sequence_Oflat @t98 @t6008))))) % 53.50/53.74 (assume @p4821 (forall @t5912 (= (tptp.c_List_Olist__all tptp.tc_Nat_Onat @t178 @t5677) @t6009))) % 53.50/53.74 (assume @p4822 (forall @t1198 (= (tptp.c_Lazy__Sequence_Oflat @t98 (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t5867)) @t5905))) % 53.50/53.74 (assume @p4823 (forall @t5912 (= @t6009 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t3206 @t3770)) @t180))))) % 53.50/53.74 (assume @p4824 (forall @t5912 (= (tptp.c_List_Olist__ex tptp.tc_Nat_Onat @t178 @t5677) (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) @t178) @t972 @t971))))) % 53.50/53.74 (assume @p4825 (forall (@list @t2 @t5530 @t8 @t49) (= (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t49 @t8 @t5530) @t2) (tptp.c_Lazy__Sequence_Oflat @t8 (tptp.c_Lazy__Sequence_Omap @t49 @t5808 @t2 @t5530))))) % 53.50/53.74 (assume @p4826 (forall @t4672 (=> @t4662 (=> @t347 (=> (forall @t7 (=> @t3377 @t1156)) (= @t1071 @t4671)))))) % 53.50/53.74 (assume @p4827 (forall (@list @t5530 @t48 @t2 @t8 @t49) (= (tptp.c_Lazy__Sequence_Omap @t49 @t8 @t2 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t49 @t48 @t5530)) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t94 (tptp.c_Lazy__Sequence_Omap @t49 @t8 @t2 @t5530))))) % 53.50/53.74 (assume @p4828 (forall @t3875 (= (tptp.c_Lazy__Sequence_Omap @t49 @t8 @t2 @t5910) @t5906))) % 53.50/53.74 (assume @p4829 (forall (@list @t972 @t5530 @t2 @t8 @t49) (= (tptp.c_New__DSequence_Opos__map @t49 @t8 @t2 @t5530 @t972) (tptp.c_Lazy__Sequence_Omap @t49 @t8 @t2 @t5865)))) % 53.50/53.74 (assume @p4830 (forall @t2554 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6010 @t2553) @t2552)) (=> (tptp.hBOOL (tptp.hAPP @t2472 @t730)) @t744)))) % 53.50/53.74 (assume @p4831 (forall @t1968 (tptp.hBOOL (tptp.hAPP @t6011 @t97)))) % 53.50/53.74 (assume @p4832 (forall @t292 (=> @t801 (tptp.hBOOL (tptp.hAPP @t6013 @t1135))))) % 53.50/53.74 (assume @p4833 (forall @t1835 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6010 @t1322) @t726)))) % 53.50/53.74 (assume @p4834 (forall (@list @t658 @t726) (=> @t6015 (=> @t1203 @t786)))) % 53.50/53.74 (assume @p4835 (forall @t684 (=> @t1339 (= @t6018 @t6017)))) % 53.50/53.74 (assume @p4836 (forall @t748 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6010 @t747) @t746)) (=> @t1340 @t6019)))) % 53.50/53.74 (assume @p4837 (forall @t167 (=> (and @t6021 @t1577) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6020 @t1581) @t1580)) (= (tptp.c_Divides_Odiv__class_Omod @t8 @t1580 @t1581) @t1160))))) % 53.50/53.74 (assume @p4838 (forall @t853 (=> @t6021 (=> @t2031 (=> @t6025 (= (= @t6023 @t32) (= @t33 @t1296))))))) % 53.50/53.74 (assume @p4839 (forall (@list @t35 @t33 @t32 @t13 @t8) (=> @t6021 (=> @t2031 (=> @t1442 (=> @t6025 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6020 @t32) @t35)) (= (= @t6023 (tptp.hAPP (tptp.hAPP @t6022 @t35) @t32)) (= @t869 @t871))))))))) % 53.50/53.74 (assume @p4840 (forall @t748 (=> @t6027 (=> @t6015 (=> @t689 @t6026))))) % 53.50/53.74 (assume @p4841 (forall @t748 (=> @t6027 (=> @t6026 (=> @t689 @t6015))))) % 53.50/53.74 (assume @p4842 (forall (@list @t662 @t200 @t658 @t197 @t98) (=> @t801 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6012 @t2519) @t200)) (=> @t744 (tptp.hBOOL (tptp.hAPP @t6028 @t200))))))) % 53.50/53.74 (assume @p4843 (forall (@list @t662 @t658 @t152 @t97 @t98) (=> @t801 (=> @t6031 (=> @t689 (tptp.hBOOL (tptp.hAPP @t6029 (tptp.hAPP @t2404 @t662)))))))) % 53.50/53.74 (assume @p4844 (forall (@list @t197 @t658 @t662 @t98) (=> @t801 (=> @t744 (tptp.hBOOL (tptp.hAPP @t6028 @t2519)))))) % 53.50/53.74 (assume @p4845 (forall @t6041 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3775 @t6040) @t6039)) (or @t6038 (and @t6035 @t6033))))) % 53.50/53.74 (assume @p4846 (forall @t2335 (= (tptp.hBOOL (tptp.hAPP @t6044 (tptp.c_SetInterval_Oord_OatLeast tptp.tc_Nat_Onat @t6010 @t676))) @t6043))) % 53.50/53.74 (assume @p4847 (forall @t2335 (= (tptp.hBOOL (tptp.hAPP @t6044 (tptp.c_SetInterval_Oord_OatMost tptp.tc_Nat_Onat @t6010 @t676))) @t6045))) % 53.50/53.74 (assume @p4848 (forall @t2335 (= (tptp.hBOOL (tptp.hAPP @t6044 (tptp.c_SetInterval_Oord_OlessThan tptp.tc_Nat_Onat @t6046 @t676))) (and @t6045 (not @t6043))))) % 53.50/53.74 (assume @p4849 (forall @t2335 (= (tptp.hBOOL (tptp.hAPP @t6044 (tptp.c_SetInterval_Oord_OgreaterThan tptp.tc_Nat_Onat @t6046 @t676))) (and @t6043 (not @t6045))))) % 53.50/53.74 (assume @p4850 (forall @t46 (=> @t6021 (= @t6025 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t33 @t13) @t1160))))) % 53.50/53.74 (assume @p4851 (forall @t295 (=> @t2204 (=> @t6047 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t200 @t197) @t1135))))) % 53.50/53.74 (assume @p4852 (forall @t6041 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3920 @t6040) @t6039)) (and (or @t6038 (and @t6035 @t6033 (or (and @t6035 (not (tptp.hBOOL (tptp.hAPP @t6036 @t32)))) (and @t6033 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6010 @t35) @t33))))))) (tptp.hBOOL (tptp.hAPP @t6034 @t35)))))) % 53.50/53.74 (assume @p4853 (forall @t292 (=> @t801 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6012 @t1135) @t197)) @t1185)))) % 53.50/53.74 (assume @p4854 (forall @t292 (=> @t801 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6012 @t645) @t197))))) % 53.50/53.74 (assume @p4855 (forall @t708 (=> @t6051 (not (and @t6050 (not @t6048)))))) % 53.50/53.74 (assume @p4856 (forall @t832 (=> @t6051 @t6056))) % 53.50/53.74 (assume @p4857 (forall @t2185 (=> @t6061 (not (and @t6060 (not @t6058)))))) % 53.50/53.74 (assume @p4858 (forall @t832 (=> @t6051 (=> @t6055 @t6054)))) % 53.50/53.74 (assume @p4859 (forall @t671 (=> @t6061 (=> @t212 @t6064)))) % 53.50/53.74 (assume @p4860 (forall @t708 (=> @t6051 @t383))) % 53.50/53.74 (assume @p4861 (forall @t708 (=> @t6051 @t381))) % 53.50/53.74 (assume @p4862 (forall @t708 (=> @t6051 @t6048))) % 53.50/53.74 (assume @p4863 (forall @t832 (=> @t6048 @t6056))) % 53.50/53.74 (assume @p4864 (forall @t671 (=> @t203 (=> (and @t6065 (not (tptp.hBOOL (tptp.hAPP @t6062 @t200)))) @t6064)))) % 53.50/53.74 (assume @p4865 (forall @t832 (=> @t6048 (=> @t6055 @t6053)))) % 53.50/53.74 (assume @p4866 (forall @t708 (=> @t6048 (=> @t6050 @t186)))) % 53.50/53.74 (assume @p4867 (forall @t668 (=> @t6019 (=> @t6066 @t716)))) % 53.50/53.74 (assume @p4868 (forall @t671 (=> @t6058 (=> @t212 @t6063)))) % 53.50/53.74 (assume @p4869 (forall @t671 (=> @t203 (=> @t6065 @t6063)))) % 53.50/53.74 (assume @p4870 (forall @t2185 (=> @t6058 (=> @t409 @t6061)))) % 53.50/53.74 (assume @p4871 (forall @t708 (=> @t6048 (or @t6051 @t186)))) % 53.50/53.74 (assume @p4872 (forall (@list @t48 @t57) (=> @t6068 (= @t6067 @t165)))) % 53.50/53.74 (assume @p4873 (forall @t708 (=> @t186 @t6048))) % 53.50/53.74 (assume @p4874 (forall @t2185 (=> @t409 (=> @t6058 @t6061)))) % 53.50/53.74 (assume @p4875 (forall @t1862 (= @t6069 (and @t6067 @t373)))) % 53.50/53.74 (assume @p4876 (forall @t1862 (= @t6067 (or @t6069 @t165)))) % 53.50/53.74 (assume @p4877 (forall @t1862 (= @t165 (and @t6067 @t6068)))) % 53.50/53.74 (assume @p4878 (forall @t205 (=> @t801 (=> @t6047 (=> @t6072 @t6070))))) % 53.50/53.74 (assume @p4879 (forall @t292 (=> @t801 (tptp.hBOOL (tptp.hAPP @t6013 @t197))))) % 53.50/53.74 (assume @p4880 (forall @t6075 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP @t6073 (tptp.hAPP @t2001 @t676))) @t6074)))) % 53.50/53.74 (assume @p4881 (forall @t6075 (=> @t1388 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6020 (tptp.hAPP @t2001 @t673)) @t676)) @t6074)))) % 53.50/53.74 (assume @p4882 (forall (@list @t726 @t740 @t98) (=> @t998 (=> (= (tptp.hAPP @t1994 @t740) @t2631) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6012 @t740) @t726)))))) % 53.50/53.74 (assume @p4883 (forall @t853 (=> @t6021 (=> @t6025 (=> (tptp.hBOOL (tptp.hAPP @t6024 @t32)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6020 @t6023) (tptp.hAPP (tptp.hAPP @t6022 @t32) @t13))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6020 @t33) @t32)))))))) % 53.50/53.74 (assume @p4884 (forall (@list @t673 @t672 @t676 @t8) (=> @t6021 (=> (tptp.hBOOL (tptp.hAPP @t6076 @t672)) (= (tptp.hBOOL (tptp.hAPP @t6076 (tptp.c_Divides_Odiv__class_Omod @t8 @t673 @t672))) (tptp.hBOOL (tptp.hAPP @t6076 @t673))))))) % 53.50/53.74 (assume @p4885 (forall @t1248 (=> @t2204 (=> @t6078 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t2202 @t196) @t2229))))) % 53.50/53.74 (assume @p4886 (forall @t6083 (=> @t2204 (=> @t6082 (=> @t6081 @t6080))))) % 53.50/53.74 (assume @p4887 (forall @t6083 (=> @t2204 (=> @t6080 (=> @t6081 @t6082))))) % 53.50/53.74 (assume @p4888 (forall (@list @t658 @t152 @t97 @t98) (=> @t801 (=> @t6031 (tptp.hBOOL (tptp.hAPP @t6029 @t6084)))))) % 53.50/53.74 (assume @p4889 (forall @t2534 (= (tptp.hBOOL (tptp.hAPP @t6016 @t638)) @t756))) % 53.50/53.74 (assume @p4890 (forall (@list @t672 @t676) (= (tptp.hBOOL (tptp.hAPP @t6042 @t820)) (tptp.hBOOL (tptp.hAPP @t6042 @t672))))) % 53.50/53.74 (assume @p4891 (forall @t205 (=> @t801 (=> @t6047 (=> @t6070 (tptp.hBOOL (tptp.hAPP @t6013 @t854))))))) % 53.50/53.74 (assume @p4892 (forall @t1520 (=> @t2204 (=> (tptp.hBOOL (tptp.hAPP @t6086 @t97)) (=> (tptp.hBOOL (tptp.hAPP @t6086 @t152)) (= (tptp.hAPP (tptp.hAPP @t2203 @t2532) @t216) (tptp.hAPP (tptp.hAPP @t834 (tptp.hAPP @t6085 @t216)) (tptp.hAPP (tptp.hAPP @t2203 @t152) @t216)))))))) % 53.50/53.74 (assume @p4893 (forall @t167 (=> @t6089 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6020 @t2089) @t57)) @t6088)))) % 53.50/53.74 (assume @p4894 (forall @t167 (=> @t6089 (= (tptp.hBOOL (tptp.hAPP @t6087 @t2088)) @t6088)))) % 53.50/53.74 (assume @p4895 (forall @t219 (=> @t2137 (=> @t6031 (=> (tptp.hBOOL (tptp.hAPP @t6030 @t216)) (tptp.hBOOL (tptp.hAPP @t6030 @t1609))))))) % 53.50/53.74 (assume @p4896 (forall @t748 (=> @t6026 (=> @t6015 @t6027)))) % 53.50/53.74 (assume @p4897 (forall (@list @t658 @t97 @t152 @t98) (=> @t2204 (=> @t6091 (= (tptp.hAPP (tptp.hAPP @t2373 @t6090) @t658) (tptp.hAPP (tptp.hAPP @t2203 @t2527) @t6084)))))) % 53.50/53.74 (assume @p4898 (forall @t220 (=> @t2239 (=> @t6091 (= (tptp.hAPP (tptp.hAPP @t2203 @t2084) @t152) @t6092))))) % 53.50/53.74 (assume @p4899 (forall @t220 (=> @t2239 (=> @t6091 (= (tptp.hAPP @t6085 @t2100) @t6092))))) % 53.50/53.74 (assume @p4900 (forall @t668 (=> @t1336 (=> @t667 (not @t6066))))) % 53.50/53.74 (assume @p4901 (forall @t2534 (= (tptp.hBOOL (tptp.hAPP @t6016 @t1322)) @t1331))) % 53.50/53.74 (assume @p4902 (forall @t2276 (=> (and @t6094 @t6038) @t6093))) % 53.50/53.74 (assume @p4903 (forall @t2329 (= @t6093 @t6038))) % 53.50/53.74 (assume @p4904 (forall @t2329 (= (= @t3187 @t6040) @t6038))) % 53.50/53.74 (assume @p4905 (forall @t6098 (=> @t6097 @t6096))) % 53.50/53.74 (assume @p4906 (forall @t2276 (=> @t6094 @t6100))) % 53.50/53.74 (assume @p4907 (forall @t6098 (=> @t6097 (= (tptp.c_SetInterval_Oord_OgreaterThanLessThan tptp.tc_Nat_Onat @t6046 @t676 @t1695) @t3187)))) % 53.50/53.74 (assume @p4908 (forall @t1701 (= @t6096 @t6101))) % 53.50/53.74 (assume @p4909 (forall @t2329 (= @t6100 @t6102))) % 53.50/53.74 (assume @p4910 (forall @t1701 (= (= @t3187 @t6095) @t6101))) % 53.50/53.74 (assume @p4911 (forall @t2329 (= (= @t3187 @t6099) @t6102))) % 53.50/53.74 (assume @p4912 (forall @t2329 (=> @t44 (= @t6040 @t6103)))) % 53.50/53.74 (assume @p4913 (forall (@list @t13) (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t6010 @t13 @t13) @t6103))) % 53.50/53.74 (assume @p4914 (forall (@list @t32 @t33 @t13) (= (= @t6040 (tptp.hAPP (tptp.hAPP @t3193 @t32) @t3187)) @t3482))) % 53.50/53.74 (assume @p4915 (forall (@list @t20 @t227 @t35 @t8) (=> (and (tptp.class_Rings_Ocomm__ring @t8) @t6106) (=> (tptp.hBOOL (tptp.hAPP @t6104 @t227)) (forall @t3602 (= (tptp.hBOOL (tptp.hAPP @t6104 (tptp.hAPP @t6105 @t20))) (tptp.hBOOL (tptp.hAPP @t6104 (tptp.hAPP (tptp.hAPP @t844 (tptp.hAPP (tptp.hAPP @t267 @t3) (tptp.hAPP (tptp.hAPP @t465 @t939) @t227))) @t20))))))))) % 53.50/53.74 (assume @p4916 (forall @t684 (= @t6018 (or @t1214 @t6017)))) % 53.50/53.74 (assume @p4917 (forall @t295 (=> @t2204 (=> @t6047 (= (tptp.hAPP @t476 @t6108) @t200))))) % 53.50/53.74 (assume @p4918 (forall @t1248 (=> @t2204 (=> @t6078 (= (tptp.hAPP @t476 (tptp.hAPP @t6107 @t196)) (tptp.hAPP @t2303 @t196)))))) % 53.50/53.74 (assume @p4919 (forall @t295 (=> @t2204 (=> @t6047 (= (tptp.hAPP @t6109 @t197) @t200))))) % 53.50/53.74 (assume @p4920 (forall @t205 (=> @t2204 (=> @t6047 (= (tptp.hAPP @t6109 @t196) (tptp.hAPP (tptp.hAPP @t2203 @t475) @t197)))))) % 53.50/53.74 (assume @p4921 (forall (@list @t1474 @t216 @t97 @t152 @t98) (=> @t2204 (=> @t6091 (=> (tptp.hBOOL (tptp.hAPP @t6086 @t1474)) (= (tptp.hAPP (tptp.hAPP @t473 @t6090) (tptp.hAPP (tptp.hAPP @t2203 @t1474) @t216)) (tptp.hAPP (tptp.hAPP @t2203 (tptp.hAPP @t479 @t1474)) @t1510))))))) % 53.50/53.74 (assume @p4922 (forall @t205 (=> @t801 (=> @t6110 @t6072)))) % 53.50/53.74 (assume @p4923 (forall @t205 (=> @t801 (=> @t6110 @t6070)))) % 53.50/53.74 (assume @p4924 (forall (@list @t726 @t200 @t197 @t98) (=> (tptp.class_Rings_Odvd @t98) (=> (= @t197 (tptp.hAPP @t474 @t726)) (tptp.hBOOL (tptp.hAPP @t6071 @t197)))))) % 53.50/53.74 (assume @p4925 (forall @t863 (=> @t801 (=> @t6047 (=> (tptp.hBOOL (tptp.hAPP @t6077 @t284)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6012 @t874) @t1255))))))) % 53.50/53.74 (assume @p4926 (forall @t900 (=> @t801 (=> @t6070 @t6111)))) % 53.50/53.74 (assume @p4927 (forall @t205 (=> @t801 (=> @t6047 @t6111)))) % 53.50/53.74 (assume @p4928 (forall @t295 (=> @t801 (tptp.hBOOL (tptp.hAPP @t6013 @t999))))) % 53.50/53.74 (assume @p4929 (forall @t295 (=> @t801 (tptp.hBOOL (tptp.hAPP @t6013 @t477))))) % 53.50/53.74 (assume @p4930 (forall @t890 (=> @t2107 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6020 @t872) @t869)) @t6112)))) % 53.50/53.74 (assume @p4931 (forall @t892 (=> @t2107 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6020 @t1296) @t1295)) @t6112)))) % 53.50/53.74 (assume @p4932 (forall (@list @t1695 @t178 @t8) (=> (and @t6106 @t2775) (= (exists @t7 (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t465 @t1695) @t3)))) (exists @t7 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6020 @t1695) (tptp.hAPP @t6105 @t1160))) @t180)))))) % 53.50/53.74 (assume @p4933 (forall (@list @t2 @t972 @t25 @t8 @t49) (=> @t1168 (=> @t335 (=> @t3494 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6113 @t3243) @t1166))))))) % 53.50/53.74 (assume @p4934 (forall @t1395 (=> (and @t811 (tptp.class_Rings_Odvd @t49)) (=> @t413 (=> @t115 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6113 @t1166) @t1528))))))) % 53.50/53.74 (assume @p4935 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p4936 (forall @t6118 (=> @t6117 (tptp.class_Lattices_Obounded__lattice @t6116)))) % 53.50/53.74 (assume @p4937 (forall @t6118 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6114) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6116)))) % 53.50/53.74 (assume @p4938 (forall @t6118 (=> @t6117 (tptp.class_Lattices_Obounded__lattice__top @t6116)))) % 53.50/53.74 (assume @p4939 (forall @t6118 (=> @t6117 (tptp.class_Lattices_Obounded__lattice__bot @t6116)))) % 53.50/53.74 (assume @p4940 (forall @t6118 (=> @t6119 (tptp.class_Lattices_Osemilattice__sup @t6116)))) % 53.50/53.74 (assume @p4941 (forall @t6118 (=> @t6119 (tptp.class_Lattices_Osemilattice__inf @t6116)))) % 53.50/53.74 (assume @p4942 (forall @t6118 (=> (tptp.class_Lattices_Odistrib__lattice @t6114) (tptp.class_Lattices_Odistrib__lattice @t6116)))) % 53.50/53.74 (assume @p4943 (forall @t6118 (=> (tptp.class_Lattices_Oboolean__algebra @t6114) (tptp.class_Lattices_Oboolean__algebra @t6116)))) % 53.50/53.74 (assume @p4944 @t6122) % 53.50/53.74 (assume @p4945 (forall @t6125 (=> @t6124 (tptp.class_Finite__Set_Ofinite @t6116)))) % 53.50/53.74 (assume @p4946 (forall @t6118 (=> @t6119 (tptp.class_Lattices_Olattice @t6116)))) % 53.50/53.74 (assume @p4947 (forall @t6118 (=> (tptp.class_Orderings_Oorder @t6114) (tptp.class_Orderings_Oorder @t6116)))) % 53.50/53.74 (assume @p4948 (forall @t6118 (=> (tptp.class_Orderings_Otop @t6114) (tptp.class_Orderings_Otop @t6116)))) % 53.50/53.74 (assume @p4949 (forall @t6118 (=> (tptp.class_Orderings_Oord @t6114) (tptp.class_Orderings_Oord @t6116)))) % 53.50/53.74 (assume @p4950 (forall @t6118 (=> (tptp.class_Orderings_Obot @t6114) (tptp.class_Orderings_Obot @t6116)))) % 53.50/53.74 (assume @p4951 (forall @t6118 (=> (tptp.class_Groups_Ouminus @t6114) (tptp.class_Groups_Ouminus @t6116)))) % 53.50/53.74 (assume @p4952 (forall @t6118 (=> (tptp.class_Groups_Ominus @t6114) (tptp.class_Groups_Ominus @t6116)))) % 53.50/53.74 (assume @p4953 (forall @t6125 (=> @t6127 (tptp.class_Enum_Oenum @t6116)))) % 53.50/53.74 (assume @p4954 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4955 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4956 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4957 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4958 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4959 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4960 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4961 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4962 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4963 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4964 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4965 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4966 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4967 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4968 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4969 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4970 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4971 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4972 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4973 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4974 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4975 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4976 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4977 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4978 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4979 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4980 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4981 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4982 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4983 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4984 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4985 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4986 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4987 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4988 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4989 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4990 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4991 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4992 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4993 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4994 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4995 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4996 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4997 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4998 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p4999 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5000 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5001 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5002 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5003 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5004 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5005 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5006 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5007 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5008 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5009 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5010 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5011 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5012 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5013 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5014 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5015 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5016 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5017 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5018 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5019 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5020 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5021 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5022 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5023 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5024 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5025 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 53.50/53.74 (assume @p5026 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5027 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5028 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5029 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5030 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5031 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5032 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5033 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5034 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5035 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5036 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5037 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5038 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5039 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5040 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5041 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5042 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5043 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5044 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5045 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5046 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5047 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5048 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5049 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5050 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5051 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5052 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5053 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5054 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5055 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5056 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5057 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5058 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5059 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5060 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5061 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5062 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5063 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5064 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5065 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5066 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5067 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5068 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5069 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5070 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5071 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5072 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5073 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5074 (tptp.class_Nat_Osize tptp.tc_Nat_Onat)) % 53.50/53.74 (assume @p5075 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5076 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5077 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5078 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5079 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5080 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5081 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5082 @t6128) % 53.50/53.74 (assume @p5083 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5084 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5085 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5086 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5087 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5088 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5089 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5090 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5091 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5092 (tptp.class_Nat_Osize tptp.tc_HOL_Obool)) % 53.50/53.74 (assume @p5093 (forall @t6131 (=> @t6130 (tptp.class_Lazy__Sequence_Osmall__lazy @t6129)))) % 53.50/53.74 (assume @p5094 (forall @t6131 (tptp.class_Nat_Osize @t6129))) % 53.50/53.74 (assume @p5095 (forall @t6125 (=> @t6124 (tptp.class_Finite__Set_Ofinite @t6132)))) % 53.50/53.74 (assume @p5096 (forall @t6125 (=> @t6127 (tptp.class_Enum_Oenum @t6132)))) % 53.50/53.74 (assume @p5097 (forall @t6125 (tptp.class_Nat_Osize @t6132))) % 53.50/53.74 (assume @p5098 (forall @t6131 (=> @t6123 (tptp.class_Finite__Set_Ofinite @t6133)))) % 53.50/53.74 (assume @p5099 (forall @t6131 (=> @t6126 (tptp.class_Enum_Oenum @t6133)))) % 53.50/53.74 (assume @p5100 (forall @t6131 (tptp.class_Nat_Osize @t6133))) % 53.50/53.74 (assume @p5101 (forall @t6125 (tptp.class_Nat_Osize (tptp.tc_Nitpick_Opair__box @t6115 @t6114)))) % 53.50/53.74 (assume @p5102 (forall @t6125 (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t6115) @t6130) (tptp.class_Lazy__Sequence_Osmall__lazy @t6134)))) % 53.50/53.74 (assume @p5103 (forall @t6125 (=> @t6124 (tptp.class_Finite__Set_Ofinite @t6134)))) % 53.50/53.74 (assume @p5104 (forall @t6125 (=> @t6127 (tptp.class_Enum_Oenum @t6134)))) % 53.50/53.74 (assume @p5105 (forall @t6125 (tptp.class_Nat_Osize @t6134))) % 53.50/53.74 (assume @p5106 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Product__Type_Ounit)) % 53.50/53.74 (assume @p5107 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 53.50/53.74 (assume @p5108 (tptp.class_Enum_Oenum tptp.tc_Product__Type_Ounit)) % 53.50/53.74 (assume @p5109 (tptp.class_Nat_Osize tptp.tc_Product__Type_Ounit)) % 53.50/53.74 (assume @p5110 (tptp.class_Nat_Osize tptp.tc_Code__Evaluation_Oterm)) % 53.50/53.74 (assume @p5111 (forall @t6131 (tptp.class_Nat_Osize (tptp.tc_Hoare__Mirabelle_Otriple @t6114)))) % 53.50/53.74 (assume @p5112 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5113 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5114 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5115 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5116 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5117 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5118 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5119 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5120 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5121 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5122 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5123 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5124 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5125 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5126 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5127 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5128 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5129 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5130 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5131 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5132 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5133 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5134 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5135 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5136 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5137 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5138 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5139 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5140 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5141 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5142 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5143 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5144 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5145 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5146 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5147 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5148 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5149 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5150 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5151 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5152 (tptp.class_Rings_Odvd tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5153 (tptp.class_Nat_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 53.50/53.74 (assume @p5154 (forall @t6131 (tptp.class_Nat_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence @t6114)))) % 53.50/53.77 (assume @p5155 (forall (@list @t6135 @t98) (= (tptp.hAPP (tptp.c_COMBI @t98) @t6135) @t6135))) % 53.50/53.77 (assume @p5156 (forall (@list @t6136 @t6135 @t8 @t98) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t98 @t8) @t6135) @t6136) @t6135))) % 53.50/53.77 (assume @p5157 (forall (@list @t2733 @t305 @t178 @t1685 @t8 @t49) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3871 @t178) @t305) @t2733) (tptp.hAPP @t178 @t6137)))) % 53.50/53.77 (assume @p5158 (forall @t6139 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2747 @t178) @t305) @t2733) (tptp.hAPP @t6138 @t305)))) % 53.50/53.77 (assume @p5159 (forall @t6139 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t49 @t1685 @t8) @t178) @t305) @t2733) (tptp.hAPP @t6138 @t6137)))) % 53.50/53.77 (assume @p5160 (forall @t1862 (or (not @t6140) @t165))) % 53.50/53.77 (assume @p5161 (forall @t1862 (or @t373 @t6140))) % 53.50/53.77 (assume @p5162 (not (tptp.hBOOL tptp.c_fFalse))) % 53.50/53.77 (assume @p5163 (tptp.hBOOL tptp.c_fTrue)) % 53.50/53.77 (assume @p5164 (forall @t1858 (or (not @t6143) @t6142))) % 53.50/53.77 (assume @p5165 (forall @t1858 (or (not @t6142) @t6143))) % 53.50/53.77 (assume @p5166 (forall @t6147 (or @t6142 @t6146 @t6144))) % 53.50/53.77 (assume @p5167 (forall @t6147 (or @t6148 @t6141))) % 53.50/53.77 (assume @p5168 (forall @t6147 (or @t6148 @t6145))) % 53.50/53.77 (assume @p5169 (forall @t6147 (or @t6142 @t6149))) % 53.50/53.77 (assume @p5170 (forall @t6150 (or @t6146 @t6149))) % 53.50/53.77 (assume @p5171 (forall @t6147 (or (not @t6149) @t6141 @t6145))) % 53.50/53.77 (assume @p5172 (forall @t6147 (or @t6141 @t6151))) % 53.50/53.77 (assume @p5173 (forall @t6150 (or @t6146 @t6151))) % 53.50/53.77 (assume @p5174 (forall @t6147 (or (not @t6151) @t6142 @t6145))) % 53.50/53.77 (assume @p5175 (not @t6156)) % 53.50/53.77 (assume @p5176 true) % 53.50/53.77 (step @p5177 :rule bool-impl-elim :args (@t102 @t101)) % 53.50/53.77 (step @p5178 :rule cong :premises (@p5177) :args (@t104)) % 53.50/53.77 (step @p5179 :rule eq_resolve :premises (@p33 @p5178)) % 53.50/53.77 (step @p5180 :rule bool-impl-elim :args (@t6121 @t6120)) % 53.50/53.77 (step @p5181 :rule cong :premises (@p5180) :args (@t6122)) % 53.50/53.77 (step @p5182 :rule eq_resolve :premises (@p4944 @p5181)) % 53.50/53.77 (step @p5183 :rule instantiate :premises (@p5182) :args ((@list @t6152 tptp.tc_HOL_Obool))) % 53.50/53.77 (step @p5184 :rule cnf_or_pos :args (@t6159)) % 53.50/53.77 (step @p5185 :rule reordering :premises (@p5184) :args ((or @t6158 @t6157 (not @t6159)))) % 53.50/53.77 (step @p5186 :rule chain_m_resolution :premises (@p5185 @p5082 @p5183) :args (@t6157 (@list false false) (@list @t6128 @t6159))) % 53.50/53.77 (step @p5187 :rule bool-impl-elim :args (@t256 @t254)) % 53.50/53.77 (step @p5188 :rule cong :premises (@p5187) :args (@t257)) % 53.50/53.77 (step @p5189 :rule eq_resolve :premises (@p132 @p5188)) % 53.50/53.77 (step @p5190 :rule instantiate :premises (@p5189) :args ((@list tptp.v_t @t6154 @t6154 @t6152))) % 53.50/53.77 (step @p5191 :rule bool-impl-elim :args (@t260 @t16)) % 53.50/53.77 (step @p5192 :rule cong :premises (@p5191) :args (@t261)) % 53.50/53.77 (step @p5193 :rule eq_resolve :premises (@p133 @p5192)) % 53.50/53.77 (step @p5194 :rule instantiate :premises (@p5193) :args ((@list @t6155 @t6155 tptp.t_a))) % 53.50/53.77 (step @p5195 :rule cnf_or_pos :args (@t6163)) % 53.50/53.77 (step @p5196 :rule reordering :premises (@p5195) :args ((or @t6156 @t6162 (not @t6163)))) % 53.50/53.77 (step @p5197 :rule chain_m_resolution :premises (@p5196 @p5175 @p5194) :args (@t6162 @t6164 (@list @t6156 @t6163))) % 53.50/53.77 (step @p5198 :rule cnf_or_pos :args (@t6167)) % 53.50/53.77 (step @p5199 :rule reordering :premises (@p5198) :args ((or @t6166 @t6161 (not @t6167)))) % 53.50/53.77 (step @p5200 :rule chain_m_resolution :premises (@p5199 @p5197 @p5190) :args (@t6166 @t6164 (@list @t6161 @t6167))) % 53.50/53.77 (step @p5201 :rule cnf_or_pos :args (@t6169)) % 53.50/53.77 (step @p5202 :rule reordering :premises (@p5201) :args ((or @t6165 @t6168 @t6170))) % 53.50/53.77 (step @p5203 :rule chain_m_resolution :premises (@p5202 @p5200 @p5186) :args (@t6170 @t6164 (@list @t6165 @t6157))) % 53.50/53.77 (assume-push @p5210 @t6171) % 53.50/53.77 (step @p5205 :rule instantiate :premises (@p5179) :args ((@list @t6154 @t6153))) % 53.50/53.77 (step-pop @p5211 :rule scope :premises (@p5205)) % 53.50/53.77 (step @p5206 :rule process_scope :premises (@p5211) :args (@t6169)) % 53.50/53.77 (step @p5208 :rule implies_elim :premises (@p5206)) % 53.50/53.77 (step @p5209 false :rule chain_m_resolution :premises (@p5208 @p5203 @p5179) :args (false @t6164 (@list @t6169 @t6171))) % 53.50/53.77 ) % 53.50/53.77 % SZS output end Proof % 53.50/53.77 % cvc5 exiting %------------------------------------------------------------------------------