%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW322+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 09:04:44 AM UTC 2026 % Result : Theorem 6.62s 6.84s % Output : Proof 1.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW322+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:44:46 EDT 2026 % 0.17/0.34 % CPUTime : % 1.04/1.91 %----Proving TF0_NAR, FOF, or CNF % 6.62/6.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.62/6.84 % SZS status Theorem % 6.62/6.84 % SZS output start Proof % 6.62/6.84 ( % 6.62/6.84 (declare-sort $$unsorted 0) % 6.62/6.84 (declare-const tptp.t_a $$unsorted) % 6.62/6.84 (declare-const tptp.v_F $$unsorted) % 6.62/6.84 (declare-const tptp.v_G $$unsorted) % 6.62/6.84 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__DSequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Oall__interval__nat (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Oflat (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Quotient_ORespects (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Fun_Obij__betw (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Quickcheck_Obeyond (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Predicate_Osymp (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Random__Sequence_Osingle (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_DSequence_Oempty (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Random__Sequence_ORandom (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 6.62/6.84 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.tc_Nitpick_Opair__box (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Omember (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Oyieldn (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OInsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H__rel $$unsorted) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Lazy__Sequence_Osmall__lazy (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Oembed__list (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Enum_Oenum__the (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 6.62/6.84 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.v_Q $$unsorted) % 6.62/6.84 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 6.62/6.84 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_DSequence_Ounion (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Opair__box_OPairBox (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Oyield (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olinorder__class_Osort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_New__DSequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Random__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 6.62/6.84 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Int_OInteg $$unsorted) % 6.62/6.84 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Int_Ointrel $$unsorted) % 6.62/6.84 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 6.62/6.84 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 6.62/6.84 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 6.62/6.84 (declare-const tptp.v_P_H $$unsorted) % 6.62/6.84 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 6.62/6.84 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 6.62/6.84 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 6.62/6.84 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Enum_Oenum__class_Oenum__ex (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Random__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Quotient_OBabs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 6.62/6.84 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_fFalse $$unsorted) % 6.62/6.84 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 6.62/6.84 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 6.62/6.84 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_DSequence_Osingle (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Nat_Osize (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Enum_On__lists (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.v_c0 $$unsorted) % 6.62/6.84 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_FunDef_Ois__measure (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.tc_Nat_Onat $$unsorted) % 6.62/6.84 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_New__Random__Sequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_fTrue $$unsorted) % 6.62/6.84 (declare-const tptp.c_List_Oreturn__list (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_FunDef_OTHE__default (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 6.62/6.84 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Set_OBex (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_fimplies $$unsorted) % 6.62/6.84 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.v_Q_H $$unsorted) % 6.62/6.84 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_fequal $$unsorted) % 6.62/6.84 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.tc_Com_Ocom $$unsorted) % 6.62/6.84 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 6.62/6.84 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Predicate_Otransp (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_fNot $$unsorted) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.tc_Com_Ostate $$unsorted) % 6.62/6.84 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 6.62/6.84 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Int_OMin $$unsorted) % 6.62/6.84 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 6.62/6.84 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.tc_HOL_Obool $$unsorted) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Com_Ocom_Ocom__size (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nat_OSuc $$unsorted) % 6.62/6.84 (declare-const tptp.c_List_Omaps (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 6.62/6.84 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_OremoveAll (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Enum_Oenum__class_Oenum__all (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.v_P $$unsorted) % 6.62/6.84 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Equiv__Relations_Opart__equivp (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.t_b $$unsorted) % 6.62/6.84 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.v_x $$unsorted) % 6.62/6.84 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_fconj $$unsorted) % 6.62/6.84 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Enum_Osublists (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 6.62/6.84 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Int_Onat $$unsorted) % 6.62/6.84 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_List_Oall__interval__int (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olist__ex1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 6.62/6.84 (declare-const tptp.c_Enum_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_fdisj $$unsorted) % 6.62/6.84 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 6.62/6.84 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.tc_Int_Oint $$unsorted) % 6.62/6.84 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 6.62/6.84 (declare-const tptp.c_Partial__Function_Ofun__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Int_OPls $$unsorted) % 6.62/6.84 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 6.62/6.84 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 6.62/6.84 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Random__Sequence_Oempty (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_List_Omeasures (-> $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.62/6.84 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 6.62/6.84 (define @t1 () (@var "V_g_2" $$unsorted)) % 6.62/6.84 (define @t2 () (@var "V_f_2" $$unsorted)) % 6.62/6.84 (define @t3 () (@var "B_x" $$unsorted)) % 6.62/6.84 (define @t4 () (tptp.hAPP @t1 @t3)) % 6.62/6.84 (define @t5 () (tptp.hAPP @t2 @t3)) % 6.62/6.84 (define @t6 () (= @t5 @t4)) % 6.62/6.84 (define @t7 () (@list @t3)) % 6.62/6.84 (define @t8 () (@var "T_c" $$unsorted)) % 6.62/6.84 (define @t9 () (tptp.tc_Hoare__Mirabelle_Otriple @t8)) % 6.62/6.84 (define @t10 () (tptp.tc_fun @t9 tptp.tc_HOL_Obool)) % 6.62/6.84 (define @t11 () (tptp.c_Orderings_Obot__class_Obot @t10)) % 6.62/6.84 (define @t12 () (@var "V_Ga_2" $$unsorted)) % 6.62/6.84 (define @t13 () (@var "V_a_2" $$unsorted)) % 6.62/6.84 (define @t14 () (@list @t13 @t8)) % 6.62/6.84 (define @t15 () (@var "V_fun2_H_2" $$unsorted)) % 6.62/6.84 (define @t16 () (@var "V_fun2_2" $$unsorted)) % 6.62/6.84 (define @t17 () (@var "V_com_H_2" $$unsorted)) % 6.62/6.84 (define @t18 () (@var "V_com_2" $$unsorted)) % 6.62/6.84 (define @t19 () (= @t18 @t17)) % 6.62/6.84 (define @t20 () (@var "V_fun1_H_2" $$unsorted)) % 6.62/6.84 (define @t21 () (@var "V_fun1_2" $$unsorted)) % 6.62/6.84 (define @t22 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t8)) % 6.62/6.84 (define @t23 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t22 @t21) @t18) @t16)) % 6.62/6.84 (define @t24 () (@var "V_ts_2" $$unsorted)) % 6.62/6.84 (define @t25 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t24)) % 6.62/6.84 (define @t26 () (@var "V_G_H_2" $$unsorted)) % 6.62/6.84 (define @t27 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t26 @t24)) % 6.62/6.84 (define @t28 () (@list @t12 @t24 @t26 @t8)) % 6.62/6.84 (define @t29 () (@var "V_t_2" $$unsorted)) % 6.62/6.84 (define @t30 () (tptp.c_Set_Oinsert @t9)) % 6.62/6.84 (define @t31 () (tptp.hAPP @t30 @t29)) % 6.62/6.84 (define @t32 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP @t31 @t24))) % 6.62/6.84 (define @t33 () (=> @t25 @t32)) % 6.62/6.84 (define @t34 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP @t31 @t11))) % 6.62/6.84 (define @t35 () (@list @t24 @t29 @t12 @t8)) % 6.62/6.84 (define @t36 () (forall @t35 (=> @t34 @t33))) % 6.62/6.84 (define @t37 () (@var "V_F_2" $$unsorted)) % 6.62/6.84 (define @t38 () (@var "V_h_2" $$unsorted)) % 6.62/6.84 (define @t39 () (@var "T_d" $$unsorted)) % 6.62/6.84 (define @t40 () (tptp.c_Set_Oimage @t8 @t39 @t38)) % 6.62/6.84 (define @t41 () (tptp.c_Finite__Set_Ofinite @t39)) % 6.62/6.84 (define @t42 () (tptp.c_Finite__Set_Ofinite @t8)) % 6.62/6.84 (define @t43 () (tptp.hBOOL (tptp.hAPP @t42 @t37))) % 6.62/6.84 (define @t44 () (@list @t38 @t39 @t37 @t8)) % 6.62/6.84 (define @t45 () (@var "V_A_2" $$unsorted)) % 6.62/6.84 (define @t46 () (tptp.c_Set_Oinsert @t8)) % 6.62/6.84 (define @t47 () (tptp.hAPP @t46 @t13)) % 6.62/6.84 (define @t48 () (tptp.hAPP @t47 @t45)) % 6.62/6.84 (define @t49 () (tptp.hBOOL (tptp.hAPP @t42 @t48))) % 6.62/6.84 (define @t50 () (tptp.hBOOL (tptp.hAPP @t42 @t45))) % 6.62/6.84 (define @t51 () (@list @t13 @t45 @t8)) % 6.62/6.84 (define @t52 () (tptp.tc_fun @t8 tptp.tc_HOL_Obool)) % 6.62/6.84 (define @t53 () (tptp.c_Orderings_Obot__class_Obot @t52)) % 6.62/6.84 (define @t54 () (@list @t8)) % 6.62/6.84 (define @t55 () (tptp.c_Set_Oimage @t39 @t8 @t2)) % 6.62/6.84 (define @t56 () (tptp.hAPP @t55 @t45)) % 6.62/6.84 (define @t57 () (@var "V_b_2" $$unsorted)) % 6.62/6.84 (define @t58 () (tptp.c_member @t8)) % 6.62/6.84 (define @t59 () (tptp.hAPP @t58 @t57)) % 6.62/6.84 (define @t60 () (@var "V_x_2" $$unsorted)) % 6.62/6.84 (define @t61 () (tptp.c_member @t39)) % 6.62/6.84 (define @t62 () (tptp.hAPP @t61 @t60)) % 6.62/6.84 (define @t63 () (tptp.hBOOL (tptp.hAPP @t62 @t45))) % 6.62/6.84 (define @t64 () (tptp.hAPP @t2 @t60)) % 6.62/6.84 (define @t65 () (= @t57 @t64)) % 6.62/6.84 (define @t66 () (tptp.hAPP @t58 @t13)) % 6.62/6.84 (define @t67 () (tptp.hBOOL (tptp.hAPP @t66 @t45))) % 6.62/6.84 (define @t68 () (= @t13 @t57)) % 6.62/6.84 (define @t69 () (not @t68)) % 6.62/6.84 (define @t70 () (tptp.hAPP @t46 @t57)) % 6.62/6.84 (define @t71 () (tptp.hAPP @t70 @t45)) % 6.62/6.84 (define @t72 () (tptp.hBOOL (tptp.hAPP @t66 @t71))) % 6.62/6.84 (define @t73 () (@list @t45 @t57 @t13 @t8)) % 6.62/6.84 (define @t74 () (@var "V_B_2" $$unsorted)) % 6.62/6.84 (define @t75 () (tptp.hAPP @t70 @t74)) % 6.62/6.84 (define @t76 () (tptp.hBOOL (tptp.hAPP @t66 @t75))) % 6.62/6.84 (define @t77 () (tptp.hBOOL (tptp.hAPP @t66 @t74))) % 6.62/6.84 (define @t78 () (not @t77)) % 6.62/6.84 (define @t79 () (@list @t57 @t74 @t13 @t8)) % 6.62/6.84 (define @t80 () (tptp.tc_fun @t39 tptp.tc_HOL_Obool)) % 6.62/6.84 (define @t81 () (tptp.c_Orderings_Obot__class_Obot @t80)) % 6.62/6.84 (define @t82 () (@var "V_c_2" $$unsorted)) % 6.62/6.84 (define @t83 () (tptp.c_Set_Oinsert @t39)) % 6.62/6.84 (define @t84 () (tptp.c_COMBK @t39 @t8)) % 6.62/6.84 (define @t85 () (tptp.hAPP (tptp.c_Set_Oimage @t8 @t39 (tptp.hAPP @t84 @t82)) @t45)) % 6.62/6.84 (define @t86 () (= @t85 (tptp.hAPP (tptp.hAPP @t83 @t82) @t81))) % 6.62/6.84 (define @t87 () (tptp.hAPP @t58 @t60)) % 6.62/6.84 (define @t88 () (tptp.hBOOL (tptp.hAPP @t87 @t45))) % 6.62/6.84 (define @t89 () (= @t45 @t53)) % 6.62/6.84 (define @t90 () (not @t89)) % 6.62/6.84 (define @t91 () (@list @t82 @t39 @t8 @t45)) % 6.62/6.84 (define @t92 () (tptp.c_Set_Oimage @t8 @t39 @t2)) % 6.62/6.84 (define @t93 () (tptp.hAPP @t92 @t45)) % 6.62/6.84 (define @t94 () (@list @t2 @t39 @t45 @t60 @t8)) % 6.62/6.84 (define @t95 () (= @t57 @t13)) % 6.62/6.84 (define @t96 () (tptp.hAPP @t47 @t53)) % 6.62/6.84 (define @t97 () (tptp.hBOOL (tptp.hAPP @t59 @t96))) % 6.62/6.84 (define @t98 () (@list @t13 @t57 @t8)) % 6.62/6.84 (define @t99 () (tptp.hAPP @t58 @t82)) % 6.62/6.84 (define @t100 () (tptp.hBOOL (tptp.hAPP @t99 @t74))) % 6.62/6.84 (define @t101 () (tptp.hBOOL (tptp.hAPP @t99 @t45))) % 6.62/6.84 (define @t102 () (not @t101)) % 6.62/6.84 (define @t103 () (=> @t102 @t100)) % 6.62/6.84 (define @t104 () (not @t100)) % 6.62/6.84 (define @t105 () (=> @t101 @t104)) % 6.62/6.84 (define @t106 () (= @t45 @t74)) % 6.62/6.84 (define @t107 () (tptp.hBOOL (tptp.hAPP @t59 @t45))) % 6.62/6.84 (define @t108 () (@list @t45 @t8 @t57 @t13)) % 6.62/6.84 (define @t109 () (@var "V_y_2" $$unsorted)) % 6.62/6.84 (define @t110 () (tptp.hAPP @t58 @t109)) % 6.62/6.84 (define @t111 () (tptp.hBOOL (tptp.hAPP @t110 @t45))) % 6.62/6.84 (define @t112 () (= @t60 @t109)) % 6.62/6.84 (define @t113 () (tptp.hBOOL (tptp.hAPP @t87 @t74))) % 6.62/6.84 (define @t114 () (tptp.hAPP @t45 @t60)) % 6.62/6.84 (define @t115 () (tptp.hBOOL @t114)) % 6.62/6.84 (define @t116 () (@list @t45 @t60 @t8)) % 6.62/6.84 (define @t117 () (tptp.class_Finite__Set_Ofinite @t8)) % 6.62/6.84 (define @t118 () (@list @t45 @t8)) % 6.62/6.84 (define @t119 () (= @t109 @t60)) % 6.62/6.84 (define @t120 () (tptp.hAPP @t46 @t109)) % 6.62/6.84 (define @t121 () (tptp.hAPP @t120 @t45)) % 6.62/6.84 (define @t122 () (tptp.hAPP @t46 @t60)) % 6.62/6.84 (define @t123 () (tptp.hAPP @t122 @t45)) % 6.62/6.84 (define @t124 () (@list @t45 @t109 @t60 @t8)) % 6.62/6.84 (define @t125 () (@var "T_e" $$unsorted)) % 6.62/6.84 (define @t126 () (tptp.c_COMBB @t39 @t8 @t125)) % 6.62/6.84 (define @t127 () (tptp.c_Set_Oimage @t125 @t39 @t1)) % 6.62/6.84 (define @t128 () (not @t67)) % 6.62/6.84 (define @t129 () (tptp.hAPP @t58 @t3)) % 6.62/6.84 (define @t130 () (tptp.hBOOL (tptp.hAPP @t129 @t45))) % 6.62/6.84 (define @t131 () (exists @t7 @t130)) % 6.62/6.84 (define @t132 () (not @t130)) % 6.62/6.84 (define @t133 () (@list @t45 @t13 @t8)) % 6.62/6.84 (define @t134 () (tptp.hAPP @t122 @t74)) % 6.62/6.84 (define @t135 () (not @t113)) % 6.62/6.84 (define @t136 () (not @t88)) % 6.62/6.84 (define @t137 () (@list @t74 @t45 @t60 @t8)) % 6.62/6.84 (define @t138 () (or @t68 @t67)) % 6.62/6.84 (define @t139 () (tptp.hAPP @t47 @t74)) % 6.62/6.84 (define @t140 () (@list @t74 @t13 @t8)) % 6.62/6.84 (define @t141 () (tptp.hAPP @t61 @t57)) % 6.62/6.84 (define @t142 () (@var "V_z_2" $$unsorted)) % 6.62/6.84 (define @t143 () (tptp.hAPP @t61 @t3)) % 6.62/6.84 (define @t144 () (tptp.hBOOL (tptp.hAPP @t143 @t45))) % 6.62/6.84 (define @t145 () (tptp.hAPP @t58 @t142)) % 6.62/6.84 (define @t146 () (tptp.hAPP @t70 @t53)) % 6.62/6.84 (define @t147 () (@list @t57 @t13 @t8)) % 6.62/6.84 (define @t148 () (= @t57 @t82)) % 6.62/6.84 (define @t149 () (@var "V_d_2" $$unsorted)) % 6.62/6.84 (define @t150 () (= @t57 @t149)) % 6.62/6.84 (define @t151 () (= @t13 @t82)) % 6.62/6.84 (define @t152 () (and @t151 @t150)) % 6.62/6.84 (define @t153 () (tptp.hAPP @t46 @t82)) % 6.62/6.84 (define @t154 () (tptp.hAPP @t47 @t146)) % 6.62/6.84 (define @t155 () (@list @t149 @t82 @t57 @t13 @t8)) % 6.62/6.84 (define @t156 () (= @t45 @t81)) % 6.62/6.84 (define @t157 () (@list @t45 @t2 @t8 @t39)) % 6.62/6.84 (define @t158 () (@list @t2 @t8 @t39)) % 6.62/6.84 (define @t159 () (@list @t45 @t2 @t39 @t8)) % 6.62/6.84 (define @t160 () (tptp.hAPP @t55 @t74)) % 6.62/6.84 (define @t161 () (tptp.hAPP @t2 @t13)) % 6.62/6.84 (define @t162 () (tptp.hAPP @t83 @t13)) % 6.62/6.84 (define @t163 () (tptp.hAPP @t162 @t74)) % 6.62/6.84 (define @t164 () (tptp.hAPP @t122 @t53)) % 6.62/6.84 (define @t165 () (@list @t60 @t8)) % 6.62/6.84 (define @t166 () (tptp.c_Orderings_Obot__class_Obot @t8)) % 6.62/6.84 (define @t167 () (tptp.tc_fun @t39 @t8)) % 6.62/6.84 (define @t168 () (@list @t60 @t39 @t8)) % 6.62/6.84 (define @t169 () (@var "V_f1_2" $$unsorted)) % 6.62/6.84 (define @t170 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t169 @t21) @t18) @t16)) % 6.62/6.84 (define @t171 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t39) @t21) @t18) @t16)) % 6.62/6.84 (define @t172 () (@list @t16 @t18 @t21 @t169 @t8 @t39)) % 6.62/6.84 (define @t173 () (tptp.hAPP @t37 @t45)) % 6.62/6.84 (define @t174 () (tptp.hAPP @t64 @t173)) % 6.62/6.84 (define @t175 () (tptp.hAPP @t37 @t123)) % 6.62/6.84 (define @t176 () (=> @t90 (= @t175 @t174))) % 6.62/6.84 (define @t177 () (tptp.c_Finite__Set_Ofolding__one @t8 @t2 @t37)) % 6.62/6.84 (define @t178 () (@list @t60 @t45 @t37 @t2 @t8)) % 6.62/6.84 (define @t179 () (@var "V_Qa_2" $$unsorted)) % 6.62/6.84 (define @t180 () (@var "V_Pa_2" $$unsorted)) % 6.62/6.84 (define @t181 () (tptp.hAPP @t22 @t180)) % 6.62/6.84 (define @t182 () (tptp.hAPP @t181 @t82)) % 6.62/6.84 (define @t183 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP @t182 @t179)) @t11))) % 6.62/6.84 (define @t184 () (@var "B_Z" $$unsorted)) % 6.62/6.84 (define @t185 () (tptp.hAPP @t179 @t184)) % 6.62/6.84 (define @t186 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_HOL_Obool)) % 6.62/6.84 (define @t187 () (tptp.c_COMBK @t186 @t8)) % 6.62/6.84 (define @t188 () (@var "B_s" $$unsorted)) % 6.62/6.84 (define @t189 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 @t184) @t188))) % 6.62/6.84 (define @t190 () (@list @t184 @t188)) % 6.62/6.84 (define @t191 () (tptp.c_Finite__Set_Ofolding__one__idem @t8 @t2 @t37)) % 6.62/6.84 (define @t192 () (@var "V_a2_2" $$unsorted)) % 6.62/6.84 (define @t193 () (@var "V_a1_2" $$unsorted)) % 6.62/6.84 (define @t194 () (@var "V_P_Ha_2" $$unsorted)) % 6.62/6.84 (define @t195 () (= (tptp.hAPP @t64 @t60) @t60)) % 6.62/6.84 (define @t196 () (@list @t60 @t37 @t2 @t8)) % 6.62/6.84 (define @t197 () (tptp.hAPP tptp.c_fequal @t109)) % 6.62/6.84 (define @t198 () (@list @t109 @t60 @t8)) % 6.62/6.84 (define @t199 () (@var "V_S_2" $$unsorted)) % 6.62/6.84 (define @t200 () (@var "V_R_2" $$unsorted)) % 6.62/6.84 (define @t201 () (= @t200 @t199)) % 6.62/6.84 (define @t202 () (tptp.hAPP (tptp.c_COMBC @t8 @t52 tptp.tc_HOL_Obool) @t58)) % 6.62/6.84 (define @t203 () (tptp.hAPP @t202 @t199)) % 6.62/6.84 (define @t204 () (tptp.hAPP @t202 @t200)) % 6.62/6.84 (define @t205 () (@list @t199 @t200 @t8)) % 6.62/6.84 (define @t206 () (@var "B_y" $$unsorted)) % 6.62/6.84 (define @t207 () (tptp.hAPP @t46 @t3)) % 6.62/6.84 (define @t208 () (tptp.hAPP @t207 (tptp.hAPP (tptp.hAPP @t46 @t206) @t53))) % 6.62/6.84 (define @t209 () (tptp.hAPP @t5 @t206)) % 6.62/6.84 (define @t210 () (@list @t3 @t206)) % 6.62/6.84 (define @t211 () (@list @t45 @t37 @t2 @t8)) % 6.62/6.84 (define @t212 () (@var "V_Q_Ha_2" $$unsorted)) % 6.62/6.84 (define @t213 () (tptp.c_COMBC @t8 @t52 @t52)) % 6.62/6.84 (define @t214 () (tptp.hAPP (tptp.hAPP @t213 @t46) @t53)) % 6.62/6.84 (define @t215 () (@var "V_X_2" $$unsorted)) % 6.62/6.84 (define @t216 () (tptp.c_COMBB @t52 tptp.tc_HOL_Obool @t8)) % 6.62/6.84 (define @t217 () (tptp.c_Com_Ocom_OWhile @t57 @t82)) % 6.62/6.84 (define @t218 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.62/6.84 (define @t219 () (tptp.tc_fun tptp.tc_Com_Ostate @t218)) % 6.62/6.84 (define @t220 () (@list @t82 @t57 @t180 @t12 @t8)) % 6.62/6.84 (define @t221 () (@var "V_N_2" $$unsorted)) % 6.62/6.84 (define @t222 () (tptp.c_Set_Oimage @t8 @t8 @t38)) % 6.62/6.84 (define @t223 () (tptp.hAPP @t222 @t221)) % 6.62/6.84 (define @t224 () (not (= @t221 @t53))) % 6.62/6.84 (define @t225 () (tptp.hBOOL (tptp.hAPP @t42 @t221))) % 6.62/6.84 (define @t226 () (tptp.hAPP @t38 @t206)) % 6.62/6.84 (define @t227 () (tptp.hAPP @t38 @t3)) % 6.62/6.84 (define @t228 () (tptp.hAPP @t1 @t60)) % 6.62/6.84 (define @t229 () (tptp.hAPP @t2 @t228)) % 6.62/6.84 (define @t230 () (tptp.hAPP @t229 @t173)) % 6.62/6.84 (define @t231 () (tptp.hAPP @t83 @t60)) % 6.62/6.84 (define @t232 () (tptp.hAPP @t37 (tptp.hAPP @t231 @t45))) % 6.62/6.84 (define @t233 () (= @t232 @t230)) % 6.62/6.84 (define @t234 () (tptp.hBOOL (tptp.hAPP @t41 @t45))) % 6.62/6.84 (define @t235 () (tptp.c_Finite__Set_Ofolding__image__simple @t8 @t39 @t2 @t142 @t1 @t37)) % 6.62/6.84 (define @t236 () (@list @t60 @t45 @t37 @t1 @t142 @t2 @t39 @t8)) % 6.62/6.84 (define @t237 () (tptp.c_Groups_Ominus__class_Ominus @t52)) % 6.62/6.84 (define @t238 () (tptp.hAPP @t237 @t45)) % 6.62/6.84 (define @t239 () (tptp.hAPP @t238 @t164)) % 6.62/6.84 (define @t240 () (tptp.hAPP @t37 @t239)) % 6.62/6.84 (define @t241 () (tptp.hAPP @t64 @t240)) % 6.62/6.84 (define @t242 () (= @t239 @t53)) % 6.62/6.84 (define @t243 () (not @t242)) % 6.62/6.84 (define @t244 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t8 @t39 @t2 @t142 @t1 @t37)) % 6.62/6.84 (define @t245 () (tptp.hBOOL (tptp.hAPP @t180 @t37))) % 6.62/6.84 (define @t246 () (@var "B_F" $$unsorted)) % 6.62/6.84 (define @t247 () (tptp.hBOOL (tptp.hAPP @t180 @t246))) % 6.62/6.84 (define @t248 () (tptp.hBOOL (tptp.hAPP @t42 @t246))) % 6.62/6.84 (define @t249 () (tptp.hBOOL (tptp.hAPP @t180 @t53))) % 6.62/6.84 (define @t250 () (@var "V_Y_2" $$unsorted)) % 6.62/6.84 (define @t251 () (tptp.c_COMBI @t8)) % 6.62/6.84 (define @t252 () (@list @t250 @t8)) % 6.62/6.84 (define @t253 () (=> @t101 @t100)) % 6.62/6.84 (define @t254 () (tptp.hAPP @t238 @t74)) % 6.62/6.84 (define @t255 () (tptp.hBOOL (tptp.hAPP @t99 @t254))) % 6.62/6.84 (define @t256 () (@list @t74 @t45 @t82 @t8)) % 6.62/6.84 (define @t257 () (tptp.hBOOL (tptp.hAPP @t42 @t254))) % 6.62/6.84 (define @t258 () (@list @t74 @t45 @t8)) % 6.62/6.84 (define @t259 () (tptp.hAPP @t237 @t254)) % 6.62/6.84 (define @t260 () (tptp.hBOOL (tptp.hAPP @t42 @t74))) % 6.62/6.84 (define @t261 () (@list @t45 @t74 @t8)) % 6.62/6.84 (define @t262 () (tptp.c_Groups_Ominus__class_Ominus @t80)) % 6.62/6.84 (define @t263 () (tptp.hAPP @t262 @t45)) % 6.62/6.84 (define @t264 () (tptp.hAPP @t229 (tptp.hAPP @t37 (tptp.hAPP @t263 (tptp.hAPP @t231 @t81))))) % 6.62/6.84 (define @t265 () (tptp.hAPP @t237 @t123)) % 6.62/6.84 (define @t266 () (tptp.hAPP @t265 @t74)) % 6.62/6.84 (define @t267 () (=> @t113 (= @t266 @t254))) % 6.62/6.84 (define @t268 () (@list @t45 @t74 @t60 @t8)) % 6.62/6.84 (define @t269 () (tptp.hAPP @t238 @t96)) % 6.62/6.84 (define @t270 () (tptp.hAPP @t47 @t269)) % 6.62/6.84 (define @t271 () (tptp.hAPP @t238 @t139)) % 6.62/6.84 (define @t272 () (@list @t74 @t13 @t45 @t8)) % 6.62/6.84 (define @t273 () (tptp.hAPP @t74 @t60)) % 6.62/6.84 (define @t274 () (tptp.c_Groups_Ominus__class_Ominus @t8)) % 6.62/6.84 (define @t275 () (@var "V_com2_H" $$unsorted)) % 6.62/6.84 (define @t276 () (@var "V_com1_H" $$unsorted)) % 6.62/6.84 (define @t277 () (tptp.c_Com_Ocom_OSemi @t276 @t275)) % 6.62/6.84 (define @t278 () (@list @t275 @t276)) % 6.62/6.84 (define @t279 () (@var "V_fun_H_2" $$unsorted)) % 6.62/6.84 (define @t280 () (tptp.c_Com_Ocom_OWhile @t279 @t17)) % 6.62/6.84 (define @t281 () (@list @t17 @t279)) % 6.62/6.84 (define @t282 () (@var "V_com2_2" $$unsorted)) % 6.62/6.84 (define @t283 () (@var "V_com1_2" $$unsorted)) % 6.62/6.84 (define @t284 () (tptp.c_Com_Ocom_OSemi @t283 @t282)) % 6.62/6.84 (define @t285 () (tptp.c_Fun_Ofun__upd @t8 @t39 @t2 @t60 @t109)) % 6.62/6.84 (define @t286 () (tptp.hAPP (tptp.c_Set_Oimage @t8 @t39 @t285) @t45)) % 6.62/6.84 (define @t287 () (@var "B_a" $$unsorted)) % 6.62/6.84 (define @t288 () (tptp.hAPP @t46 @t287)) % 6.62/6.84 (define @t289 () (@var "B_A" $$unsorted)) % 6.62/6.84 (define @t290 () (tptp.hAPP @t58 @t287)) % 6.62/6.84 (define @t291 () (tptp.hBOOL (tptp.hAPP @t290 @t289))) % 6.62/6.84 (define @t292 () (@list @t287 @t289)) % 6.62/6.84 (define @t293 () (tptp.c_COMBC @t52 @t52 @t52)) % 6.62/6.84 (define @t294 () (tptp.tc_fun @t52 @t52)) % 6.62/6.84 (define @t295 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 @t294 @t8) (tptp.hAPP @t293 @t237)) @t214)) % 6.62/6.84 (define @t296 () (tptp.hAPP tptp.c_fequal @t60)) % 6.62/6.84 (define @t297 () (@list @t60 @t2 @t39 @t8)) % 6.62/6.84 (define @t298 () (= @t64 @t109)) % 6.62/6.84 (define @t299 () (@list @t109 @t60 @t2 @t39 @t8)) % 6.62/6.84 (define @t300 () (@list @t142 @t109 @t60 @t2 @t39 @t8)) % 6.62/6.84 (define @t301 () (tptp.c_Fun_Ofun__upd @t39 @t8 @t2 @t60 @t109)) % 6.62/6.84 (define @t302 () (tptp.hAPP @t2 @t142)) % 6.62/6.84 (define @t303 () (tptp.hAPP @t285 @t142)) % 6.62/6.84 (define @t304 () (= @t142 @t60)) % 6.62/6.84 (define @t305 () (=> (not @t304) (= @t303 @t302))) % 6.62/6.84 (define @t306 () (@list @t109 @t2 @t39 @t8 @t60 @t142)) % 6.62/6.84 (define @t307 () (@var "V_m_2" $$unsorted)) % 6.62/6.84 (define @t308 () (tptp.hAPP @t64 @t142)) % 6.62/6.84 (define @t309 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t39 @t2)) % 6.62/6.84 (define @t310 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t8 @t39 @t2 @t13 @t57) @t60)) % 6.62/6.84 (define @t311 () (= @t60 @t13)) % 6.62/6.84 (define @t312 () (tptp.tc_fun @t39 @t39)) % 6.62/6.84 (define @t313 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t312 @t125) @t2) @t1)) % 6.62/6.84 (define @t314 () (@list @t1 @t125 @t2 @t39 @t8)) % 6.62/6.84 (define @t315 () (@var "V_fun_2" $$unsorted)) % 6.62/6.84 (define @t316 () (= @t315 @t279)) % 6.62/6.84 (define @t317 () (tptp.c_Com_Ocom_OWhile @t315 @t18)) % 6.62/6.84 (define @t318 () (@var "V_com2_H_2" $$unsorted)) % 6.62/6.84 (define @t319 () (= @t282 @t318)) % 6.62/6.84 (define @t320 () (@var "V_com1_H_2" $$unsorted)) % 6.62/6.84 (define @t321 () (= @t283 @t320)) % 6.62/6.84 (define @t322 () (tptp.c_Com_Ocom_OSemi @t320 @t318)) % 6.62/6.84 (define @t323 () (tptp.c_COMBC @t8 @t8 tptp.tc_HOL_Obool)) % 6.62/6.84 (define @t324 () (tptp.hAPP @t323 tptp.c_fequal)) % 6.62/6.84 (define @t325 () (tptp.hAPP @t324 @t13)) % 6.62/6.84 (define @t326 () (tptp.hAPP @t64 @t109)) % 6.62/6.84 (define @t327 () (@list @t109 @t142 @t2 @t39 @t45 @t60 @t8)) % 6.62/6.84 (define @t328 () (tptp.c_Finite__Set_Ofold__graph @t8 @t39 @t2 @t142 @t45)) % 6.62/6.84 (define @t329 () (@list @t109 @t60 @t45 @t142 @t2 @t39 @t8)) % 6.62/6.84 (define @t330 () (tptp.hAPP @t61 @t161)) % 6.62/6.84 (define @t331 () (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t45)) % 6.62/6.84 (define @t332 () (@list @t45 @t13 @t2 @t39 @t8)) % 6.62/6.84 (define @t333 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t2)) % 6.62/6.84 (define @t334 () (tptp.hAPP @t237 @t74)) % 6.62/6.84 (define @t335 () (tptp.hAPP @t334 @t45)) % 6.62/6.84 (define @t336 () (tptp.c_COMBB @t39 @t80 @t8)) % 6.62/6.84 (define @t337 () (tptp.hAPP (tptp.hAPP @t336 tptp.c_fequal) @t2)) % 6.62/6.84 (define @t338 () (tptp.c_COMBC @t8 @t39 tptp.tc_HOL_Obool)) % 6.62/6.84 (define @t339 () (tptp.hAPP @t338 @t337)) % 6.62/6.84 (define @t340 () (tptp.hAPP @t202 @t45)) % 6.62/6.84 (define @t341 () (tptp.c_COMBB tptp.tc_HOL_Obool @t218 @t8)) % 6.62/6.84 (define @t342 () (tptp.hAPP @t341 tptp.c_fconj)) % 6.62/6.84 (define @t343 () (tptp.hAPP @t342 @t340)) % 6.62/6.84 (define @t344 () (tptp.c_COMBS @t8 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.62/6.84 (define @t345 () (tptp.hAPP @t344 @t343)) % 6.62/6.84 (define @t346 () (tptp.hAPP @t345 (tptp.hAPP @t339 @t60))) % 6.62/6.84 (define @t347 () (tptp.c_Fun_Othe__inv__into @t8 @t39 @t45 @t2)) % 6.62/6.84 (define @t348 () (tptp.hAPP @t347 @t60)) % 6.62/6.84 (define @t349 () (@list @t60 @t2 @t45 @t39 @t8)) % 6.62/6.84 (define @t350 () (tptp.c_Orderings_Oord__class_Oless__eq @t52)) % 6.62/6.84 (define @t351 () (tptp.hAPP @t350 @t45)) % 6.62/6.84 (define @t352 () (tptp.hBOOL (tptp.hAPP @t351 @t74))) % 6.62/6.84 (define @t353 () (=> @t136 @t352)) % 6.62/6.84 (define @t354 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t239) @t74))) % 6.62/6.84 (define @t355 () (tptp.hBOOL (tptp.hAPP @t351 @t134))) % 6.62/6.84 (define @t356 () (@list @t74 @t60 @t45 @t8)) % 6.62/6.84 (define @t357 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t39)) % 6.62/6.84 (define @t358 () (tptp.hAPP @t357 @t2)) % 6.62/6.84 (define @t359 () (tptp.hAPP @t358 @t45)) % 6.62/6.84 (define @t360 () (tptp.hAPP @t358 @t269)) % 6.62/6.84 (define @t361 () (tptp.c_Groups_Ominus__class_Ominus @t39)) % 6.62/6.84 (define @t362 () (tptp.hAPP @t361 @t359)) % 6.62/6.84 (define @t363 () (=> @t67 (= @t360 (tptp.hAPP @t362 @t161)))) % 6.62/6.84 (define @t364 () (tptp.class_Groups_Oab__group__add @t39)) % 6.62/6.84 (define @t365 () (@list @t2 @t13 @t45 @t8 @t39)) % 6.62/6.84 (define @t366 () (tptp.hAPP (tptp.c_Fun_Ooverride__on @t8 @t39 @t2 @t1 @t45) @t13)) % 6.62/6.84 (define @t367 () (=> @t128 (= @t366 @t161))) % 6.62/6.84 (define @t368 () (tptp.hAPP @t1 @t13)) % 6.62/6.84 (define @t369 () (=> @t67 (= @t366 @t368))) % 6.62/6.84 (define @t370 () (@list @t1 @t2 @t39 @t45 @t13 @t8)) % 6.62/6.84 (define @t371 () (@var "V_x" $$unsorted)) % 6.62/6.84 (define @t372 () (@var "T_a" $$unsorted)) % 6.62/6.84 (define @t373 () (tptp.c_Orderings_Oord__class_Oless__eq @t372)) % 6.62/6.84 (define @t374 () (tptp.hAPP @t373 @t371)) % 6.62/6.84 (define @t375 () (tptp.class_Orderings_Opreorder @t372)) % 6.62/6.84 (define @t376 () (@list @t371 @t372)) % 6.62/6.84 (define @t377 () (tptp.hAPP @t350 @t74)) % 6.62/6.84 (define @t378 () (tptp.hBOOL (tptp.hAPP @t377 @t45))) % 6.62/6.84 (define @t379 () (@list @t82 @t74 @t45 @t8)) % 6.62/6.84 (define @t380 () (@list @t2 @t39 @t8)) % 6.62/6.84 (define @t381 () (@var "V_y" $$unsorted)) % 6.62/6.84 (define @t382 () (tptp.hAPP @t373 @t381)) % 6.62/6.84 (define @t383 () (tptp.hBOOL (tptp.hAPP @t382 @t371))) % 6.62/6.84 (define @t384 () (tptp.hBOOL (tptp.hAPP @t374 @t381))) % 6.62/6.84 (define @t385 () (tptp.class_Orderings_Olinorder @t372)) % 6.62/6.84 (define @t386 () (@list @t381 @t371 @t372)) % 6.62/6.84 (define @t387 () (tptp.c_Orderings_Oord__class_Oless__eq @t39)) % 6.62/6.84 (define @t388 () (tptp.tc_fun @t8 @t39)) % 6.62/6.84 (define @t389 () (tptp.c_Orderings_Oord__class_Oless__eq @t388)) % 6.62/6.84 (define @t390 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t389 @t2) @t1))) % 6.62/6.84 (define @t391 () (tptp.class_Orderings_Oord @t39)) % 6.62/6.84 (define @t392 () (@var "V_z" $$unsorted)) % 6.62/6.84 (define @t393 () (tptp.hAPP @t373 @t392)) % 6.62/6.84 (define @t394 () (tptp.hBOOL (tptp.hAPP @t393 @t371))) % 6.62/6.84 (define @t395 () (tptp.hBOOL (tptp.hAPP @t393 @t381))) % 6.62/6.84 (define @t396 () (tptp.class_Orderings_Oorder @t372)) % 6.62/6.84 (define @t397 () (@list @t392 @t371 @t381 @t372)) % 6.62/6.84 (define @t398 () (= @t371 @t381)) % 6.62/6.84 (define @t399 () (@list @t371 @t381 @t372)) % 6.62/6.84 (define @t400 () (tptp.hBOOL (tptp.hAPP @t374 @t392))) % 6.62/6.84 (define @t401 () (tptp.hBOOL (tptp.hAPP @t382 @t392))) % 6.62/6.84 (define @t402 () (@list @t392 @t381 @t371 @t372)) % 6.62/6.84 (define @t403 () (@var "V_a" $$unsorted)) % 6.62/6.84 (define @t404 () (@var "V_c" $$unsorted)) % 6.62/6.84 (define @t405 () (tptp.hAPP @t373 @t404)) % 6.62/6.84 (define @t406 () (tptp.hBOOL (tptp.hAPP @t405 @t403))) % 6.62/6.84 (define @t407 () (@var "V_b" $$unsorted)) % 6.62/6.84 (define @t408 () (= @t407 @t404)) % 6.62/6.84 (define @t409 () (tptp.hAPP @t373 @t407)) % 6.62/6.84 (define @t410 () (tptp.hBOOL (tptp.hAPP @t409 @t403))) % 6.62/6.84 (define @t411 () (@list @t404 @t403 @t407 @t372)) % 6.62/6.84 (define @t412 () (tptp.hAPP @t373 @t403)) % 6.62/6.84 (define @t413 () (tptp.hBOOL (tptp.hAPP @t412 @t404))) % 6.62/6.84 (define @t414 () (tptp.hBOOL (tptp.hAPP @t412 @t407))) % 6.62/6.84 (define @t415 () (tptp.class_Orderings_Oord @t372)) % 6.62/6.84 (define @t416 () (@list @t404 @t407 @t403 @t372)) % 6.62/6.84 (define @t417 () (= @t403 @t407)) % 6.62/6.84 (define @t418 () (tptp.hBOOL (tptp.hAPP @t409 @t404))) % 6.62/6.84 (define @t419 () (tptp.hAPP @t179 @t60)) % 6.62/6.84 (define @t420 () (tptp.hBOOL @t419)) % 6.62/6.84 (define @t421 () (tptp.hAPP @t180 @t60)) % 6.62/6.84 (define @t422 () (tptp.hBOOL @t421)) % 6.62/6.84 (define @t423 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t180) @t179))) % 6.62/6.84 (define @t424 () (tptp.c_Orderings_Oord__class_Oless__eq @t8)) % 6.62/6.84 (define @t425 () (tptp.hAPP @t424 @t60)) % 6.62/6.84 (define @t426 () (tptp.hBOOL (tptp.hAPP @t425 @t109))) % 6.62/6.84 (define @t427 () (= @t426 @t112)) % 6.62/6.84 (define @t428 () (tptp.hAPP @t424 @t109)) % 6.62/6.84 (define @t429 () (tptp.hBOOL (tptp.hAPP @t428 @t60))) % 6.62/6.84 (define @t430 () (tptp.class_Orderings_Oorder @t8)) % 6.62/6.84 (define @t431 () (@list @t60 @t109 @t8)) % 6.62/6.84 (define @t432 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t5) @t4))) % 6.62/6.84 (define @t433 () (@list @t1 @t2 @t8 @t39)) % 6.62/6.84 (define @t434 () (tptp.c_COMBC @t39 @t125 @t8)) % 6.62/6.84 (define @t435 () (tptp.hAPP @t434 @t2)) % 6.62/6.84 (define @t436 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t39 @t8)) % 6.62/6.84 (define @t437 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t125 @t8)) % 6.62/6.84 (define @t438 () (tptp.tc_fun @t125 tptp.tc_HOL_Obool)) % 6.62/6.84 (define @t439 () (tptp.tc_fun @t125 @t8)) % 6.62/6.84 (define @t440 () (tptp.c_COMBB @t439 (tptp.tc_fun @t438 @t8) @t39)) % 6.62/6.84 (define @t441 () (tptp.hAPP @t440 @t437)) % 6.62/6.84 (define @t442 () (tptp.c_COMBC @t39 @t438 @t8)) % 6.62/6.84 (define @t443 () (tptp.hAPP (tptp.hAPP @t436 (tptp.hAPP (tptp.hAPP @t442 (tptp.hAPP @t441 @t2)) @t74)) @t45)) % 6.62/6.84 (define @t444 () (tptp.class_Groups_Ocomm__monoid__add @t8)) % 6.62/6.84 (define @t445 () (@list @t45 @t74 @t2 @t125 @t39 @t8)) % 6.62/6.84 (define @t446 () (@list @t8 @t74 @t45)) % 6.62/6.84 (define @t447 () (@var "V_C_2" $$unsorted)) % 6.62/6.84 (define @t448 () (tptp.hBOOL (tptp.hAPP @t351 @t447))) % 6.62/6.84 (define @t449 () (tptp.hBOOL (tptp.hAPP @t377 @t447))) % 6.62/6.84 (define @t450 () (@list @t447 @t74 @t45 @t8)) % 6.62/6.84 (define @t451 () (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t74)) % 6.62/6.84 (define @t452 () (@list @t45 @t74 @t2 @t39 @t8)) % 6.62/6.84 (define @t453 () (@var "B_xa" $$unsorted)) % 6.62/6.84 (define @t454 () (= @t3 @t453)) % 6.62/6.84 (define @t455 () (tptp.hAPP @t2 @t453)) % 6.62/6.84 (define @t456 () (tptp.hAPP @t58 @t453)) % 6.62/6.84 (define @t457 () (tptp.hBOOL (tptp.hAPP @t456 @t45))) % 6.62/6.84 (define @t458 () (@list @t453)) % 6.62/6.84 (define @t459 () (tptp.hAPP @t347 @t109)) % 6.62/6.84 (define @t460 () (@list @t109 @t60 @t45 @t2 @t39 @t8)) % 6.62/6.84 (define @t461 () (@list @t60 @t45 @t2 @t39 @t8)) % 6.62/6.84 (define @t462 () (tptp.hBOOL (tptp.hAPP @t62 @t93))) % 6.62/6.84 (define @t463 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 tptp.tc_Nat_Onat)) % 6.62/6.84 (define @t464 () (tptp.hAPP @t463 @t2)) % 6.62/6.84 (define @t465 () (tptp.hAPP @t464 @t74)) % 6.62/6.84 (define @t466 () (tptp.hAPP @t464 @t45)) % 6.62/6.84 (define @t467 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 6.62/6.84 (define @t468 () (tptp.hAPP @t467 @t466)) % 6.62/6.84 (define @t469 () (tptp.hAPP @t436 @t1)) % 6.62/6.84 (define @t470 () (tptp.hAPP @t469 @t45)) % 6.62/6.84 (define @t471 () (tptp.hAPP @t436 @t2)) % 6.62/6.84 (define @t472 () (tptp.hAPP @t471 @t45)) % 6.62/6.84 (define @t473 () (tptp.tc_fun @t8 @t8)) % 6.62/6.84 (define @t474 () (tptp.c_COMBB @t8 @t473 @t39)) % 6.62/6.84 (define @t475 () (tptp.c_COMBS @t39 @t8 @t8)) % 6.62/6.84 (define @t476 () (tptp.hAPP (tptp.hAPP @t475 (tptp.hAPP (tptp.hAPP @t474 @t274) @t2)) @t1)) % 6.62/6.84 (define @t477 () (tptp.class_Groups_Oab__group__add @t8)) % 6.62/6.84 (define @t478 () (@list @t45 @t1 @t2 @t39 @t8)) % 6.62/6.84 (define @t479 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t39 @t8 @t2) @t142)) % 6.62/6.84 (define @t480 () (tptp.c_Set_Oimage @t8 @t8 @t2)) % 6.62/6.84 (define @t481 () (tptp.hAPP @t480 @t45)) % 6.62/6.84 (define @t482 () (tptp.c_Fun_Oinj__on @t8 @t8 @t2 @t45)) % 6.62/6.84 (define @t483 () (@list @t2 @t45 @t8)) % 6.62/6.84 (define @t484 () (tptp.hAPP @t92 @t74)) % 6.62/6.84 (define @t485 () (tptp.hAPP @t92 @t254)) % 6.62/6.84 (define @t486 () (= @t485 (tptp.hAPP (tptp.hAPP @t262 @t93) @t484))) % 6.62/6.84 (define @t487 () (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t447)) % 6.62/6.84 (define @t488 () (@list @t74 @t45 @t447 @t2 @t39 @t8)) % 6.62/6.84 (define @t489 () (tptp.hAPP @t2 @t109)) % 6.62/6.84 (define @t490 () (= @t64 @t489)) % 6.62/6.84 (define @t491 () (= @t490 @t112)) % 6.62/6.84 (define @t492 () (not @t490)) % 6.62/6.84 (define @t493 () (not @t112)) % 6.62/6.84 (define @t494 () (@list @t74 @t45 @t2 @t39 @t8)) % 6.62/6.84 (define @t495 () (tptp.hAPP @t358 @t74)) % 6.62/6.84 (define @t496 () (@list @t2 @t74 @t45 @t8 @t39)) % 6.62/6.84 (define @t497 () (@list @t142 @t2 @t39 @t8)) % 6.62/6.84 (define @t498 () (tptp.hAPP @t61 @t109)) % 6.62/6.84 (define @t499 () (tptp.hBOOL (tptp.hAPP @t498 @t93))) % 6.62/6.84 (define @t500 () (@list @t60 @t74 @t45 @t8)) % 6.62/6.84 (define @t501 () (tptp.c_Orderings_Obot__class_Obot @t372)) % 6.62/6.84 (define @t502 () (@var "V_D_2" $$unsorted)) % 6.62/6.84 (define @t503 () (tptp.hAPP @t350 @t447)) % 6.62/6.84 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq @t80)) % 6.62/6.84 (define @t505 () (tptp.hAPP @t504 @t93)) % 6.62/6.84 (define @t506 () (tptp.hBOOL (tptp.hAPP @t505 @t484))) % 6.62/6.84 (define @t507 () (@list @t2 @t39 @t74 @t45 @t8)) % 6.62/6.84 (define @t508 () (@var "B_AA" $$unsorted)) % 6.62/6.84 (define @t509 () (tptp.hBOOL (tptp.hAPP @t377 @t56))) % 6.62/6.84 (define @t510 () (@list @t45 @t2 @t39 @t74 @t8)) % 6.62/6.84 (define @t511 () (tptp.hAPP @t237 @t447)) % 6.62/6.84 (define @t512 () (tptp.hAPP @t350 @t254)) % 6.62/6.84 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq @t10)) % 6.62/6.84 (define @t514 () (@var "V_ts_H_2" $$unsorted)) % 6.62/6.84 (define @t515 () (tptp.hAPP @t513 @t24)) % 6.62/6.84 (define @t516 () (= @t60 @t142)) % 6.62/6.84 (define @t517 () (tptp.c_Finite__Set_Ofold__graph @t8 @t39 @t2 @t142 @t53)) % 6.62/6.84 (define @t518 () (tptp.hBOOL (tptp.hAPP @t328 @t60))) % 6.62/6.84 (define @t519 () (tptp.c_Fun_Oinj__on @t39 @t8 @t2 @t45)) % 6.62/6.84 (define @t520 () (@list @t60 @t45 @t8)) % 6.62/6.84 (define @t521 () (tptp.hBOOL (tptp.hAPP @t41 @t74))) % 6.62/6.84 (define @t522 () (tptp.hAPP @t504 @t74)) % 6.62/6.84 (define @t523 () (tptp.hBOOL (tptp.hAPP @t522 @t93))) % 6.62/6.84 (define @t524 () (tptp.hAPP @t263 @t74)) % 6.62/6.84 (define @t525 () (tptp.c_Finite__Set_Ofold__graph @t8 @t39 @t2 @t142 @t123)) % 6.62/6.84 (define @t526 () (tptp.hBOOL (tptp.hAPP @t328 @t109))) % 6.62/6.84 (define @t527 () (tptp.hAPP @t464 @t269)) % 6.62/6.84 (define @t528 () (tptp.hAPP @t37 @t74)) % 6.62/6.84 (define @t529 () (= (tptp.hAPP (tptp.hAPP @t2 @t528) @t173) @t173)) % 6.62/6.84 (define @t530 () (@list @t74 @t45 @t37 @t1 @t142 @t2 @t39 @t8)) % 6.62/6.84 (define @t531 () (@list @t1 @t2 @t39 @t8)) % 6.62/6.84 (define @t532 () (tptp.c_Finite__Set_Ofold @t8 @t39 @t2)) % 6.62/6.84 (define @t533 () (tptp.hAPP (tptp.hAPP @t532 @t308) @t45)) % 6.62/6.84 (define @t534 () (tptp.hAPP @t532 @t142)) % 6.62/6.84 (define @t535 () (tptp.hAPP @t534 @t123)) % 6.62/6.84 (define @t536 () (= @t535 @t533)) % 6.62/6.84 (define @t537 () (@list @t60 @t142 @t45 @t2 @t39 @t8)) % 6.62/6.84 (define @t538 () (tptp.hAPP @t534 @t45)) % 6.62/6.84 (define @t539 () (tptp.hAPP @t64 @t538)) % 6.62/6.84 (define @t540 () (= @t535 @t539)) % 6.62/6.84 (define @t541 () (= @t74 @t53)) % 6.62/6.84 (define @t542 () (not @t541)) % 6.62/6.84 (define @t543 () (@list @t74 @t45 @t37 @t2 @t8)) % 6.62/6.84 (define @t544 () (@var "V_A_H_2" $$unsorted)) % 6.62/6.84 (define @t545 () (@var "B_g" $$unsorted)) % 6.62/6.84 (define @t546 () (@var "B_f" $$unsorted)) % 6.62/6.84 (define @t547 () (tptp.hAPP @t504 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t39 @t546) @t45))) % 6.62/6.84 (define @t548 () (tptp.c_Fun_Oinj__on @t8 @t39 @t546 @t45)) % 6.62/6.84 (define @t549 () (@list @t546)) % 6.62/6.84 (define @t550 () (tptp.hAPP @t64 (tptp.hAPP @t534 @t239))) % 6.62/6.84 (define @t551 () (tptp.c_Finite__Set_Ofun__left__comm @t8 @t39 @t2)) % 6.62/6.84 (define @t552 () (@list @t142 @t60 @t45 @t2 @t39 @t8)) % 6.62/6.84 (define @t553 () (tptp.c_Partial__Function_Oflat__lub @t8 @t57 @t45)) % 6.62/6.84 (define @t554 () (tptp.hBOOL (tptp.hAPP @t351 @t146))) % 6.62/6.84 (define @t555 () (@list @t57 @t45 @t8)) % 6.62/6.84 (define @t556 () (tptp.hAPP @t207 @t53)) % 6.62/6.84 (define @t557 () (@var "V_a4_2" $$unsorted)) % 6.62/6.84 (define @t558 () (@var "V_a3_2" $$unsorted)) % 6.62/6.84 (define @t559 () (@var "V_a5_2" $$unsorted)) % 6.62/6.84 (define @t560 () (tptp.hAPP (tptp.hAPP @t558 @t193) @t559)) % 6.62/6.84 (define @t561 () (= @t192 @t53)) % 6.62/6.84 (define @t562 () (tptp.hAPP @t424 @t82)) % 6.62/6.84 (define @t563 () (tptp.hBOOL (tptp.hAPP @t562 @t149))) % 6.62/6.84 (define @t564 () (tptp.hAPP @t424 @t13)) % 6.62/6.84 (define @t565 () (tptp.hBOOL (tptp.hAPP @t564 @t57))) % 6.62/6.84 (define @t566 () (tptp.hAPP (tptp.hAPP @t274 @t13) @t57)) % 6.62/6.84 (define @t567 () (= @t566 (tptp.hAPP (tptp.hAPP @t274 @t82) @t149))) % 6.62/6.84 (define @t568 () (tptp.class_Groups_Oordered__ab__group__add @t8)) % 6.62/6.84 (define @t569 () (tptp.hBOOL (tptp.hAPP @t290 @t45))) % 6.62/6.84 (define @t570 () (tptp.hAPP @t357 @t1)) % 6.62/6.84 (define @t571 () (tptp.c_Groups_Oplus__class_Oplus @t39)) % 6.62/6.84 (define @t572 () (tptp.hAPP @t571 @t228)) % 6.62/6.84 (define @t573 () (tptp.hAPP @t572 (tptp.hAPP @t570 @t239))) % 6.62/6.84 (define @t574 () (tptp.hAPP @t570 @t45)) % 6.62/6.84 (define @t575 () (tptp.class_Groups_Ocomm__monoid__add @t39)) % 6.62/6.84 (define @t576 () (@list @t1 @t60 @t45 @t8 @t39)) % 6.62/6.84 (define @t577 () (tptp.c_Groups_Oplus__class_Oplus @t372)) % 6.62/6.84 (define @t578 () (tptp.hAPP @t577 @t404)) % 6.62/6.84 (define @t579 () (tptp.hAPP @t578 @t403)) % 6.62/6.84 (define @t580 () (tptp.hAPP @t577 @t407)) % 6.62/6.84 (define @t581 () (tptp.hAPP @t580 @t403)) % 6.62/6.84 (define @t582 () (tptp.class_Groups_Ocancel__semigroup__add @t372)) % 6.62/6.84 (define @t583 () (tptp.hAPP @t577 @t403)) % 6.62/6.84 (define @t584 () (tptp.hAPP @t583 @t404)) % 6.62/6.84 (define @t585 () (tptp.hAPP @t583 @t407)) % 6.62/6.84 (define @t586 () (=> (= @t585 @t584) @t408)) % 6.62/6.84 (define @t587 () (tptp.c_Groups_Oplus__class_Oplus @t8)) % 6.62/6.84 (define @t588 () (tptp.hAPP @t587 @t82)) % 6.62/6.84 (define @t589 () (tptp.hAPP @t588 @t13)) % 6.62/6.84 (define @t590 () (tptp.hAPP @t587 @t57)) % 6.62/6.84 (define @t591 () (tptp.hAPP @t590 @t13)) % 6.62/6.84 (define @t592 () (tptp.class_Groups_Ocancel__semigroup__add @t8)) % 6.62/6.84 (define @t593 () (tptp.hAPP @t587 @t13)) % 6.62/6.84 (define @t594 () (tptp.hAPP @t593 @t82)) % 6.62/6.84 (define @t595 () (tptp.hAPP @t593 @t57)) % 6.62/6.84 (define @t596 () (@list @t82 @t57 @t13 @t8)) % 6.62/6.84 (define @t597 () (tptp.hAPP @t580 @t404)) % 6.62/6.84 (define @t598 () (tptp.hAPP @t577 @t585)) % 6.62/6.84 (define @t599 () (tptp.hAPP @t598 @t404)) % 6.62/6.84 (define @t600 () (= @t599 (tptp.hAPP @t583 @t597))) % 6.62/6.84 (define @t601 () (tptp.hAPP @t578 @t407)) % 6.62/6.84 (define @t602 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t579) @t601))) % 6.62/6.84 (define @t603 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t372)) % 6.62/6.84 (define @t604 () (@list @t407 @t403 @t404 @t372)) % 6.62/6.84 (define @t605 () (tptp.hAPP @t373 @t584)) % 6.62/6.84 (define @t606 () (tptp.hBOOL (tptp.hAPP @t605 @t597))) % 6.62/6.84 (define @t607 () (@list @t407 @t404 @t403 @t372)) % 6.62/6.84 (define @t608 () (@var "V_d" $$unsorted)) % 6.62/6.84 (define @t609 () (tptp.hAPP @t580 @t608)) % 6.62/6.84 (define @t610 () (tptp.hBOOL (tptp.hAPP @t405 @t608))) % 6.62/6.84 (define @t611 () (tptp.class_Groups_Oordered__ab__semigroup__add @t372)) % 6.62/6.84 (define @t612 () (@list @t608 @t404 @t407 @t403 @t372)) % 6.62/6.84 (define @t613 () (tptp.hAPP @t588 @t57)) % 6.62/6.84 (define @t614 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t8)) % 6.62/6.84 (define @t615 () (@list @t57 @t13 @t82 @t8)) % 6.62/6.84 (define @t616 () (tptp.hAPP @t590 @t82)) % 6.62/6.84 (define @t617 () (@list @t57 @t82 @t13 @t8)) % 6.62/6.84 (define @t618 () (tptp.c_Groups_Ominus__class_Ominus @t372)) % 6.62/6.84 (define @t619 () (tptp.hAPP @t618 @t585)) % 6.62/6.84 (define @t620 () (tptp.class_Groups_Ogroup__add @t372)) % 6.62/6.84 (define @t621 () (@list @t407 @t403 @t372)) % 6.62/6.84 (define @t622 () (tptp.hAPP @t618 @t403)) % 6.62/6.84 (define @t623 () (tptp.hAPP @t622 @t407)) % 6.62/6.84 (define @t624 () (tptp.hAPP (tptp.hAPP @t475 (tptp.hAPP (tptp.hAPP @t474 @t587) @t2)) @t1)) % 6.62/6.84 (define @t625 () (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t45)) % 6.62/6.84 (define @t626 () (tptp.hAPP @t571 @t574)) % 6.62/6.84 (define @t627 () (tptp.c_COMBB @t39 @t312 @t8)) % 6.62/6.84 (define @t628 () (tptp.c_COMBS @t8 @t39 @t39)) % 6.62/6.84 (define @t629 () (@list @t38 @t1 @t45 @t8 @t39)) % 6.62/6.84 (define @t630 () (= @t82 @t149)) % 6.62/6.84 (define @t631 () (tptp.hAPP @t570 @t123)) % 6.62/6.84 (define @t632 () (tptp.hAPP @t571 @t161)) % 6.62/6.84 (define @t633 () (@list @t60 @t1 @t45 @t8 @t39)) % 6.62/6.84 (define @t634 () (@var "B_y_H" $$unsorted)) % 6.62/6.84 (define @t635 () (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t2 @t287 @t289)) % 6.62/6.84 (define @t636 () (tptp.hAPP @t288 @t289)) % 6.62/6.84 (define @t637 () (tptp.hAPP @t46 @t193)) % 6.62/6.84 (define @t638 () (tptp.hAPP @t637 @t192)) % 6.62/6.84 (define @t639 () (tptp.hAPP @t47 @t215)) % 6.62/6.84 (define @t640 () (@var "V_v_2" $$unsorted)) % 6.62/6.84 (define @t641 () (@list @t206)) % 6.62/6.84 (define @t642 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 6.62/6.84 (define @t643 () (not @t107)) % 6.62/6.84 (define @t644 () (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t642 @t57 @t45)) % 6.62/6.84 (define @t645 () (tptp.class_Groups_Oab__semigroup__mult @t8)) % 6.62/6.84 (define @t646 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t125)) % 6.62/6.84 (define @t647 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t39 @t125)) % 6.62/6.84 (define @t648 () (tptp.hAPP @t647 @t38)) % 6.62/6.84 (define @t649 () (@list @t287)) % 6.62/6.84 (define @t650 () (= @t74 @t93)) % 6.62/6.84 (define @t651 () (tptp.class_Groups_Ocomm__monoid__add @t125)) % 6.62/6.84 (define @t652 () (@list @t38 @t1 @t74 @t45 @t2 @t39 @t8 @t125)) % 6.62/6.84 (define @t653 () (tptp.c_Orderings_Oord__class_Oless @t52)) % 6.62/6.84 (define @t654 () (tptp.hAPP @t653 @t45)) % 6.62/6.84 (define @t655 () (tptp.hBOOL (tptp.hAPP @t654 @t74))) % 6.62/6.84 (define @t656 () (tptp.hAPP @t37 @t1)) % 6.62/6.84 (define @t657 () (tptp.hAPP @t656 @t45)) % 6.62/6.84 (define @t658 () (=> (not @t234) (= @t657 @t142))) % 6.62/6.84 (define @t659 () (tptp.c_Big__Operators_Ocomm__monoid__big @t8 @t39 @t2 @t142 @t37)) % 6.62/6.84 (define @t660 () (@list @t1 @t45 @t37 @t142 @t2 @t39 @t8)) % 6.62/6.84 (define @t661 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t221)) % 6.62/6.84 (define @t662 () (@var "V_M_2" $$unsorted)) % 6.62/6.84 (define @t663 () (not (= @t662 @t53))) % 6.62/6.84 (define @t664 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t662) @t221))) % 6.62/6.84 (define @t665 () (tptp.class_Orderings_Olinorder @t8)) % 6.62/6.84 (define @t666 () (@list @t221 @t662 @t8)) % 6.62/6.84 (define @t667 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t221)) % 6.62/6.84 (define @t668 () (@var "B_x1" $$unsorted)) % 6.62/6.84 (define @t669 () (@list @t668)) % 6.62/6.84 (define @t670 () (tptp.c_Groups_Otimes__class_Otimes @t372)) % 6.62/6.84 (define @t671 () (tptp.hAPP @t670 @t407)) % 6.62/6.84 (define @t672 () (tptp.hAPP @t671 @t404)) % 6.62/6.84 (define @t673 () (tptp.hAPP @t670 @t403)) % 6.62/6.84 (define @t674 () (tptp.hAPP @t673 @t407)) % 6.62/6.84 (define @t675 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t372)) % 6.62/6.84 (define @t676 () (tptp.hAPP @t670 @t371)) % 6.62/6.84 (define @t677 () (tptp.hAPP @t676 @t371)) % 6.62/6.84 (define @t678 () (tptp.hAPP @t673 @t403)) % 6.62/6.84 (define @t679 () (@list @t403 @t372)) % 6.62/6.84 (define @t680 () (tptp.c_Orderings_Oord__class_Oless @t372)) % 6.62/6.84 (define @t681 () (tptp.hAPP @t680 @t381)) % 6.62/6.84 (define @t682 () (tptp.hBOOL (tptp.hAPP @t681 @t371))) % 6.62/6.84 (define @t683 () (not @t398)) % 6.62/6.84 (define @t684 () (tptp.hAPP @t680 @t371)) % 6.62/6.84 (define @t685 () (tptp.hBOOL (tptp.hAPP @t684 @t381))) % 6.62/6.84 (define @t686 () (not @t685)) % 6.62/6.84 (define @t687 () (tptp.hAPP @t680 @t392)) % 6.62/6.84 (define @t688 () (tptp.hBOOL (tptp.hAPP @t687 @t371))) % 6.62/6.84 (define @t689 () (=> (tptp.hBOOL (tptp.hAPP @t687 @t381)) @t688)) % 6.62/6.84 (define @t690 () (tptp.hBOOL (tptp.hAPP @t684 @t392))) % 6.62/6.84 (define @t691 () (=> (tptp.hBOOL (tptp.hAPP @t681 @t392)) @t690)) % 6.62/6.84 (define @t692 () (tptp.hAPP @t680 @t404)) % 6.62/6.84 (define @t693 () (tptp.hBOOL (tptp.hAPP @t692 @t403))) % 6.62/6.84 (define @t694 () (tptp.hAPP @t680 @t407)) % 6.62/6.84 (define @t695 () (tptp.hBOOL (tptp.hAPP @t694 @t403))) % 6.62/6.84 (define @t696 () (tptp.hAPP @t680 @t403)) % 6.62/6.84 (define @t697 () (tptp.hBOOL (tptp.hAPP @t696 @t404))) % 6.62/6.84 (define @t698 () (tptp.hBOOL (tptp.hAPP @t696 @t407))) % 6.62/6.84 (define @t699 () (tptp.hBOOL (tptp.hAPP @t694 @t404))) % 6.62/6.84 (define @t700 () (@list @t403 @t407 @t372)) % 6.62/6.84 (define @t701 () (=> @t683 (=> @t686 @t682))) % 6.62/6.84 (define @t702 () (tptp.c_Orderings_Oord__class_Oless @t8)) % 6.62/6.84 (define @t703 () (tptp.hAPP @t702 @t60)) % 6.62/6.84 (define @t704 () (tptp.hBOOL (tptp.hAPP @t703 @t109))) % 6.62/6.84 (define @t705 () (not @t704)) % 6.62/6.84 (define @t706 () (= @t705 @t112)) % 6.62/6.84 (define @t707 () (tptp.hAPP @t702 @t109)) % 6.62/6.84 (define @t708 () (tptp.hBOOL (tptp.hAPP @t707 @t60))) % 6.62/6.84 (define @t709 () (tptp.hBOOL (tptp.hAPP @t654 @t447))) % 6.62/6.84 (define @t710 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t653 @t74) @t447)) @t709)) % 6.62/6.84 (define @t711 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t388) @t2) @t1))) % 6.62/6.84 (define @t712 () (not @t417)) % 6.62/6.84 (define @t713 () (tptp.hAPP @t702 @t13)) % 6.62/6.84 (define @t714 () (tptp.hBOOL (tptp.hAPP @t713 @t57))) % 6.62/6.84 (define @t715 () (tptp.hAPP @t680 @t584)) % 6.62/6.84 (define @t716 () (tptp.hBOOL (tptp.hAPP @t715 @t597))) % 6.62/6.84 (define @t717 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t372)) % 6.62/6.84 (define @t718 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t579) @t601))) % 6.62/6.84 (define @t719 () (tptp.hBOOL (tptp.hAPP @t715 @t609))) % 6.62/6.84 (define @t720 () (tptp.hBOOL (tptp.hAPP @t692 @t608))) % 6.62/6.84 (define @t721 () (=> @t720 @t719)) % 6.62/6.84 (define @t722 () (tptp.hAPP @t702 @t82)) % 6.62/6.84 (define @t723 () (tptp.hBOOL (tptp.hAPP @t722 @t149))) % 6.62/6.84 (define @t724 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t8)) % 6.62/6.84 (define @t725 () (@var "V_r_2" $$unsorted)) % 6.62/6.84 (define @t726 () (tptp.hAPP @t642 @t725)) % 6.62/6.84 (define @t727 () (tptp.c_COMBB @t8 @t8 @t39)) % 6.62/6.84 (define @t728 () (tptp.class_Rings_Osemiring__0 @t8)) % 6.62/6.84 (define @t729 () (tptp.hAPP (tptp.hAPP @t474 @t642) @t2)) % 6.62/6.84 (define @t730 () (tptp.c_COMBC @t39 @t8 @t8)) % 6.62/6.84 (define @t731 () (tptp.hAPP @t730 @t729)) % 6.62/6.84 (define @t732 () (tptp.hAPP @t642 @t472)) % 6.62/6.84 (define @t733 () (@list @t725 @t45 @t2 @t39 @t8)) % 6.62/6.84 (define @t734 () (tptp.hAPP @t642 @t142)) % 6.62/6.84 (define @t735 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t45)) % 6.62/6.84 (define @t736 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t45)) % 6.62/6.84 (define @t737 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t735) @t45))) % 6.62/6.84 (define @t738 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t736) @t45))) % 6.62/6.84 (define @t739 () (@var "V_e_2" $$unsorted)) % 6.62/6.84 (define @t740 () (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP (tptp.hAPP @t642 (tptp.hAPP (tptp.hAPP @t274 @t57) @t13)) @t739)) @t149)) % 6.62/6.85 (define @t741 () (tptp.hAPP @t642 @t57)) % 6.62/6.85 (define @t742 () (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP @t741 @t739)) @t149)) % 6.62/6.85 (define @t743 () (tptp.hAPP @t642 @t13)) % 6.62/6.85 (define @t744 () (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP @t743 @t739)) @t82)) % 6.62/6.85 (define @t745 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t744) @t742))) % 6.62/6.85 (define @t746 () (tptp.class_Rings_Oordered__ring @t8)) % 6.62/6.85 (define @t747 () (@list @t149 @t57 @t82 @t739 @t13 @t8)) % 6.62/6.85 (define @t748 () (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP (tptp.hAPP @t642 @t566) @t739)) @t82)) % 6.62/6.85 (define @t749 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t744) @t742))) % 6.62/6.85 (define @t750 () (= @t744 @t742)) % 6.62/6.85 (define @t751 () (tptp.class_Rings_Oring @t8)) % 6.62/6.85 (define @t752 () (tptp.hAPP @t676 @t392)) % 6.62/6.85 (define @t753 () (tptp.hAPP @t676 @t381)) % 6.62/6.85 (define @t754 () (tptp.hAPP @t577 @t381)) % 6.62/6.85 (define @t755 () (tptp.hAPP @t754 @t392)) % 6.62/6.85 (define @t756 () (tptp.class_Rings_Ocomm__semiring__1 @t372)) % 6.62/6.85 (define @t757 () (tptp.hAPP @t741 @t82)) % 6.62/6.85 (define @t758 () (tptp.hAPP @t743 @t149)) % 6.62/6.85 (define @t759 () (tptp.hAPP @t743 @t82)) % 6.62/6.85 (define @t760 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t8)) % 6.62/6.85 (define @t761 () (tptp.hAPP @t673 @t404)) % 6.62/6.85 (define @t762 () (tptp.hAPP @t670 @t585)) % 6.62/6.85 (define @t763 () (= (tptp.hAPP @t762 @t404) (tptp.hAPP (tptp.hAPP @t577 @t761) @t672))) % 6.62/6.85 (define @t764 () (tptp.class_Rings_Olinordered__idom @t372)) % 6.62/6.85 (define @t765 () (tptp.hAPP @t577 @t584)) % 6.62/6.85 (define @t766 () (tptp.hAPP @t578 @t608)) % 6.62/6.85 (define @t767 () (tptp.hAPP @t583 @t766)) % 6.62/6.85 (define @t768 () (@list @t608 @t404 @t403 @t372)) % 6.62/6.85 (define @t769 () (@var "V_ry" $$unsorted)) % 6.62/6.85 (define @t770 () (@var "V_ly" $$unsorted)) % 6.62/6.85 (define @t771 () (tptp.hAPP @t670 @t770)) % 6.62/6.85 (define @t772 () (@var "V_rx" $$unsorted)) % 6.62/6.85 (define @t773 () (@var "V_lx" $$unsorted)) % 6.62/6.85 (define @t774 () (tptp.hAPP @t670 @t773)) % 6.62/6.85 (define @t775 () (tptp.hAPP @t670 (tptp.hAPP @t774 @t772))) % 6.62/6.85 (define @t776 () (tptp.hAPP @t670 @t772)) % 6.62/6.85 (define @t777 () (tptp.hAPP @t776 @t769)) % 6.62/6.85 (define @t778 () (tptp.hAPP @t670 (tptp.hAPP @t774 @t770))) % 6.62/6.85 (define @t779 () (tptp.hAPP @t778 @t777)) % 6.62/6.85 (define @t780 () (@list @t769 @t772 @t770 @t773 @t372)) % 6.62/6.85 (define @t781 () (tptp.hAPP @t778 @t772)) % 6.62/6.85 (define @t782 () (@list @t772 @t770 @t773 @t372)) % 6.62/6.85 (define @t783 () (tptp.hAPP @t774 @t777)) % 6.62/6.85 (define @t784 () (@list @t769 @t772 @t773 @t372)) % 6.62/6.85 (define @t785 () (tptp.hAPP @t671 @t403)) % 6.62/6.85 (define @t786 () (= @t109 @t142)) % 6.62/6.85 (define @t787 () (@var "V_w_2" $$unsorted)) % 6.62/6.85 (define @t788 () (tptp.hAPP @t642 @t60)) % 6.62/6.85 (define @t789 () (tptp.hAPP @t642 @t787)) % 6.62/6.85 (define @t790 () (tptp.hAPP @t788 @t142)) % 6.62/6.85 (define @t791 () (tptp.hAPP @t789 @t109)) % 6.62/6.85 (define @t792 () (@var "V_e" $$unsorted)) % 6.62/6.85 (define @t793 () (@var "V_m" $$unsorted)) % 6.62/6.85 (define @t794 () (tptp.hAPP @t673 @t793)) % 6.62/6.85 (define @t795 () (tptp.hAPP @t577 @t794)) % 6.62/6.85 (define @t796 () (tptp.c_Orderings_Oord__class_Oless @t39)) % 6.62/6.85 (define @t797 () (@list @t1 @t2 @t45 @t8 @t39)) % 6.62/6.85 (define @t798 () (tptp.c_Orderings_Oord__class_Omin @t8)) % 6.62/6.85 (define @t799 () (tptp.hAPP @t798 @t60)) % 6.62/6.85 (define @t800 () (tptp.hAPP @t799 (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t239))) % 6.62/6.85 (define @t801 () (= @t735 @t60)) % 6.62/6.85 (define @t802 () (tptp.c_Orderings_Oord__class_Omax @t8)) % 6.62/6.85 (define @t803 () (tptp.hAPP @t802 @t60)) % 6.62/6.85 (define @t804 () (tptp.hAPP @t803 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t239))) % 6.62/6.85 (define @t805 () (= @t736 @t60)) % 6.62/6.85 (define @t806 () (tptp.c_Finite__Set_Ofold1 @t8 @t642)) % 6.62/6.85 (define @t807 () (= (tptp.hAPP @t806 @t48) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t8 @t642) @t13) @t45))) % 6.62/6.85 (define @t808 () (tptp.hAPP @t806 @t45)) % 6.62/6.85 (define @t809 () (= (tptp.hAPP @t806 @t123) (tptp.hAPP @t788 @t808))) % 6.62/6.85 (define @t810 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 @t39)) % 6.62/6.85 (define @t811 () (tptp.hAPP @t810 @t1)) % 6.62/6.85 (define @t812 () (tptp.c_Groups_Otimes__class_Otimes @t39)) % 6.62/6.85 (define @t813 () (tptp.hAPP @t812 @t228)) % 6.62/6.85 (define @t814 () (tptp.hAPP @t813 (tptp.hAPP @t811 @t239))) % 6.62/6.85 (define @t815 () (tptp.hAPP @t811 @t45)) % 6.62/6.85 (define @t816 () (tptp.class_Groups_Ocomm__monoid__mult @t39)) % 6.62/6.85 (define @t817 () (tptp.hAPP @t58 @t206)) % 6.62/6.85 (define @t818 () (tptp.hBOOL (tptp.hAPP @t817 @t45))) % 6.62/6.85 (define @t819 () (tptp.c_Groups_Ouminus__class_Ouminus @t8)) % 6.62/6.85 (define @t820 () (tptp.c_Set_Oimage @t8 @t8 @t819)) % 6.62/6.85 (define @t821 () (tptp.hAPP @t820 @t199)) % 6.62/6.85 (define @t822 () (not (= @t199 @t53))) % 6.62/6.85 (define @t823 () (tptp.hBOOL (tptp.hAPP @t42 @t199))) % 6.62/6.85 (define @t824 () (tptp.class_Groups_Olinordered__ab__group__add @t8)) % 6.62/6.85 (define @t825 () (@list @t199 @t8)) % 6.62/6.85 (define @t826 () (tptp.c_Groups_Ouminus__class_Ouminus @t52)) % 6.62/6.85 (define @t827 () (tptp.hAPP @t826 @t45)) % 6.62/6.85 (define @t828 () (tptp.hBOOL (tptp.hAPP @t99 @t827))) % 6.62/6.85 (define @t829 () (@list @t45 @t82 @t8)) % 6.62/6.85 (define @t830 () (tptp.hAPP @t819 @t57)) % 6.62/6.85 (define @t831 () (tptp.hAPP @t819 @t13)) % 6.62/6.85 (define @t832 () (tptp.class_Groups_Ogroup__add @t8)) % 6.62/6.85 (define @t833 () (= @t13 @t830)) % 6.62/6.85 (define @t834 () (tptp.c_Groups_Ouminus__class_Ouminus @t372)) % 6.62/6.85 (define @t835 () (tptp.hAPP @t834 @t381)) % 6.62/6.85 (define @t836 () (tptp.hAPP @t834 @t371)) % 6.62/6.85 (define @t837 () (tptp.c_Orderings_Oord__class_Omax @t372)) % 6.62/6.85 (define @t838 () (tptp.c_Orderings_Oord__class_Omin @t372)) % 6.62/6.85 (define @t839 () (tptp.hAPP @t838 @t371)) % 6.62/6.85 (define @t840 () (tptp.hAPP @t839 @t381)) % 6.62/6.85 (define @t841 () (tptp.class_Groups_Olinordered__ab__group__add @t372)) % 6.62/6.85 (define @t842 () (tptp.hAPP @t837 @t371)) % 6.62/6.85 (define @t843 () (tptp.hAPP @t842 @t381)) % 6.62/6.85 (define @t844 () (tptp.hAPP @t834 @t403)) % 6.62/6.85 (define @t845 () (tptp.hAPP @t842 @t392)) % 6.62/6.85 (define @t846 () (tptp.hAPP (tptp.hAPP @t838 @t843) @t845)) % 6.62/6.85 (define @t847 () (tptp.hAPP @t838 @t381)) % 6.62/6.85 (define @t848 () (tptp.hAPP @t847 @t392)) % 6.62/6.85 (define @t849 () (tptp.hAPP @t842 @t848)) % 6.62/6.85 (define @t850 () (tptp.hAPP @t837 @t381)) % 6.62/6.85 (define @t851 () (tptp.hAPP @t850 @t392)) % 6.62/6.85 (define @t852 () (tptp.hAPP @t839 @t851)) % 6.62/6.85 (define @t853 () (tptp.hAPP @t839 @t392)) % 6.62/6.85 (define @t854 () (tptp.hAPP (tptp.hAPP @t837 @t840) @t853)) % 6.62/6.85 (define @t855 () (tptp.hAPP @t847 @t371)) % 6.62/6.85 (define @t856 () (@list @t371 @t392 @t381 @t372)) % 6.62/6.85 (define @t857 () (tptp.hAPP @t850 @t371)) % 6.62/6.85 (define @t858 () (tptp.hAPP @t839 @t848)) % 6.62/6.85 (define @t859 () (tptp.hAPP @t838 @t407)) % 6.62/6.85 (define @t860 () (tptp.hAPP @t838 @t403)) % 6.62/6.85 (define @t861 () (tptp.hAPP @t860 (tptp.hAPP @t859 @t404))) % 6.62/6.85 (define @t862 () (tptp.hAPP @t860 @t407)) % 6.62/6.85 (define @t863 () (tptp.hAPP @t842 @t851)) % 6.62/6.85 (define @t864 () (tptp.hAPP @t837 @t407)) % 6.62/6.85 (define @t865 () (tptp.hAPP @t837 @t403)) % 6.62/6.85 (define @t866 () (tptp.hAPP @t865 (tptp.hAPP @t864 @t404))) % 6.62/6.85 (define @t867 () (tptp.hAPP @t865 @t407)) % 6.62/6.85 (define @t868 () (tptp.hAPP @t819 @t109)) % 6.62/6.85 (define @t869 () (tptp.hAPP @t819 @t60)) % 6.62/6.85 (define @t870 () (tptp.class_Lattices_Oboolean__algebra @t8)) % 6.62/6.85 (define @t871 () (@list @t60 @t45 @t39 @t8)) % 6.62/6.85 (define @t872 () (tptp.class_Lattices_Oboolean__algebra @t372)) % 6.62/6.85 (define @t873 () (tptp.hBOOL (tptp.hAPP @t409 @t371))) % 6.62/6.85 (define @t874 () (tptp.hBOOL (tptp.hAPP @t412 @t371))) % 6.62/6.85 (define @t875 () (not (=> @t874 (not @t873)))) % 6.62/6.85 (define @t876 () (tptp.hAPP @t373 @t867)) % 6.62/6.85 (define @t877 () (tptp.hBOOL (tptp.hAPP @t876 @t371))) % 6.62/6.85 (define @t878 () (@list @t371 @t407 @t403 @t372)) % 6.62/6.85 (define @t879 () (tptp.hBOOL (tptp.hAPP @t409 @t608))) % 6.62/6.85 (define @t880 () (@list @t608 @t407 @t404 @t403 @t372)) % 6.62/6.85 (define @t881 () (@list @t407 @t371 @t403 @t372)) % 6.62/6.85 (define @t882 () (tptp.hBOOL (tptp.hAPP @t374 @t867))) % 6.62/6.85 (define @t883 () (tptp.hBOOL (tptp.hAPP @t374 @t407))) % 6.62/6.85 (define @t884 () (@list @t403 @t407 @t371 @t372)) % 6.62/6.85 (define @t885 () (tptp.hBOOL (tptp.hAPP @t374 @t403))) % 6.62/6.85 (define @t886 () (@list @t407 @t403 @t371 @t372)) % 6.62/6.85 (define @t887 () (tptp.hBOOL (tptp.hAPP @t428 @t142))) % 6.62/6.85 (define @t888 () (tptp.hBOOL (tptp.hAPP @t425 @t142))) % 6.62/6.85 (define @t889 () (and @t888 @t887)) % 6.62/6.85 (define @t890 () (tptp.hAPP @t803 @t109)) % 6.62/6.85 (define @t891 () (@list @t142 @t109 @t60 @t8)) % 6.62/6.85 (define @t892 () (tptp.hAPP @t424 @t142)) % 6.62/6.85 (define @t893 () (@list @t109 @t60 @t142 @t8)) % 6.62/6.85 (define @t894 () (tptp.hAPP @t424 @t57)) % 6.62/6.85 (define @t895 () (tptp.hAPP @t424 @t830)) % 6.62/6.85 (define @t896 () (tptp.hAPP @t424 @t831)) % 6.62/6.85 (define @t897 () (tptp.hBOOL (tptp.hAPP @t896 @t57))) % 6.62/6.85 (define @t898 () (tptp.hAPP @t834 @t407)) % 6.62/6.85 (define @t899 () (tptp.class_Groups_Oordered__ab__group__add @t372)) % 6.62/6.85 (define @t900 () (not (=> @t885 (not @t883)))) % 6.62/6.85 (define @t901 () (tptp.hBOOL (tptp.hAPP @t374 @t862))) % 6.62/6.85 (define @t902 () (tptp.hAPP @t373 @t862)) % 6.62/6.85 (define @t903 () (tptp.hBOOL (tptp.hAPP @t902 @t371))) % 6.62/6.85 (define @t904 () (@list @t403 @t371 @t407 @t372)) % 6.62/6.85 (define @t905 () (and @t426 @t888)) % 6.62/6.85 (define @t906 () (tptp.hAPP @t799 @t109)) % 6.62/6.85 (define @t907 () (tptp.hAPP @t373 @t840)) % 6.62/6.85 (define @t908 () (tptp.hBOOL (tptp.hAPP @t684 @t867))) % 6.62/6.85 (define @t909 () (tptp.hBOOL (tptp.hAPP @t684 @t407))) % 6.62/6.85 (define @t910 () (tptp.hBOOL (tptp.hAPP @t684 @t403))) % 6.62/6.85 (define @t911 () (tptp.hBOOL (tptp.hAPP @t707 @t142))) % 6.62/6.85 (define @t912 () (tptp.hBOOL (tptp.hAPP @t703 @t142))) % 6.62/6.85 (define @t913 () (tptp.hAPP @t702 @t142)) % 6.62/6.85 (define @t914 () (tptp.hBOOL (tptp.hAPP @t913 @t109))) % 6.62/6.85 (define @t915 () (tptp.hBOOL (tptp.hAPP @t913 @t60))) % 6.62/6.85 (define @t916 () (tptp.hAPP @t702 @t830)) % 6.62/6.85 (define @t917 () (tptp.hAPP @t702 @t831)) % 6.62/6.85 (define @t918 () (tptp.hBOOL (tptp.hAPP @t917 @t57))) % 6.62/6.85 (define @t919 () (tptp.hAPP @t702 @t57)) % 6.62/6.85 (define @t920 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t862) @t371))) % 6.62/6.85 (define @t921 () (tptp.hBOOL (tptp.hAPP @t694 @t371))) % 6.62/6.85 (define @t922 () (tptp.hBOOL (tptp.hAPP @t696 @t371))) % 6.62/6.85 (define @t923 () (tptp.hAPP @t577 @t371)) % 6.62/6.85 (define @t924 () (tptp.hAPP @t923 @t392)) % 6.62/6.85 (define @t925 () (tptp.hAPP @t577 @t844)) % 6.62/6.85 (define @t926 () (tptp.hAPP @t834 @t585)) % 6.62/6.85 (define @t927 () (tptp.class_Groups_Oab__group__add @t372)) % 6.62/6.85 (define @t928 () (tptp.hAPP @t673 @t898)) % 6.62/6.85 (define @t929 () (tptp.hAPP @t834 @t674)) % 6.62/6.85 (define @t930 () (tptp.class_Rings_Oring @t372)) % 6.62/6.85 (define @t931 () (tptp.hAPP @t670 @t844)) % 6.62/6.85 (define @t932 () (tptp.hAPP @t931 @t407)) % 6.62/6.85 (define @t933 () (tptp.class_Rings_Oidom @t8)) % 6.62/6.85 (define @t934 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t802) @t45)) % 6.62/6.85 (define @t935 () (tptp.c_Finite__Set_Ofold1 @t8 @t798)) % 6.62/6.85 (define @t936 () (tptp.hAPP @t935 @t45)) % 6.62/6.85 (define @t937 () (tptp.hAPP (tptp.hAPP @t618 @t381) @t392)) % 6.62/6.85 (define @t938 () (tptp.hAPP @t618 @t371)) % 6.62/6.85 (define @t939 () (tptp.hAPP @t938 @t392)) % 6.62/6.85 (define @t940 () (tptp.hAPP @t618 @t407)) % 6.62/6.85 (define @t941 () (tptp.hAPP @t940 @t403)) % 6.62/6.85 (define @t942 () (tptp.hAPP @t826 @t74)) % 6.62/6.85 (define @t943 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t39 @t8)) % 6.62/6.85 (define @t944 () (tptp.hAPP @t943 @t1)) % 6.62/6.85 (define @t945 () (tptp.hAPP @t943 @t2)) % 6.62/6.85 (define @t946 () (tptp.hAPP @t945 @t45)) % 6.62/6.85 (define @t947 () (tptp.class_Groups_Ocomm__monoid__mult @t8)) % 6.62/6.85 (define @t948 () (tptp.hAPP @t424 @t936)) % 6.62/6.85 (define @t949 () (tptp.hAPP @t424 @t3)) % 6.62/6.85 (define @t950 () (tptp.hBOOL (tptp.hAPP @t425 @t3))) % 6.62/6.85 (define @t951 () (forall @t7 (=> @t130 @t950))) % 6.62/6.85 (define @t952 () (tptp.hAPP @t702 @t3)) % 6.62/6.85 (define @t953 () (= @t623 (tptp.hAPP @t583 @t898))) % 6.62/6.85 (define @t954 () (tptp.hAPP @t938 @t381)) % 6.62/6.85 (define @t955 () (tptp.class_Rings_Ocomm__ring__1 @t372)) % 6.62/6.85 (define @t956 () (tptp.hAPP @t812 @t815)) % 6.62/6.85 (define @t957 () (tptp.hAPP (tptp.hAPP @t628 (tptp.hAPP (tptp.hAPP @t627 @t812) @t1)) @t38)) % 6.62/6.85 (define @t958 () (tptp.c_Finite__Set_Ofold1 @t8 @t2)) % 6.62/6.85 (define @t959 () (tptp.hAPP @t958 @t45)) % 6.62/6.85 (define @t960 () (=> @t50 (= @t173 @t959))) % 6.62/6.85 (define @t961 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t802)) % 6.62/6.85 (define @t962 () (tptp.hAPP @t961 @t57)) % 6.62/6.85 (define @t963 () (tptp.hAPP @t962 @t45)) % 6.62/6.85 (define @t964 () (tptp.hAPP @t802 @t13)) % 6.62/6.85 (define @t965 () (@list @t13 @t57 @t45 @t8)) % 6.62/6.85 (define @t966 () (tptp.hAPP @t803 @t736)) % 6.62/6.85 (define @t967 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t798)) % 6.62/6.85 (define @t968 () (tptp.hAPP @t967 @t57)) % 6.62/6.85 (define @t969 () (tptp.hAPP @t968 @t45)) % 6.62/6.85 (define @t970 () (tptp.hAPP @t798 @t13)) % 6.62/6.85 (define @t971 () (tptp.hAPP @t799 @t735)) % 6.62/6.85 (define @t972 () (@list @t45 @t2 @t8)) % 6.62/6.85 (define @t973 () (tptp.hAPP @t811 @t123)) % 6.62/6.85 (define @t974 () (tptp.hAPP @t810 @t2)) % 6.62/6.85 (define @t975 () (tptp.hAPP @t974 @t45)) % 6.62/6.85 (define @t976 () (@list @t57 @t13 @t45 @t8)) % 6.62/6.85 (define @t977 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t123)) % 6.62/6.85 (define @t978 () (=> @t90 (= @t977 @t966))) % 6.62/6.85 (define @t979 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t123)) % 6.62/6.85 (define @t980 () (=> @t90 (= @t979 @t971))) % 6.62/6.85 (define @t981 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t74)) % 6.62/6.85 (define @t982 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t74)) % 6.62/6.85 (define @t983 () (tptp.hAPP (tptp.hAPP @t961 @t13) @t45)) % 6.62/6.85 (define @t984 () (tptp.hAPP (tptp.hAPP @t967 @t13) @t45)) % 6.62/6.85 (define @t985 () (tptp.hAPP (tptp.hAPP @t961 @t60) @t45)) % 6.62/6.85 (define @t986 () (tptp.hAPP (tptp.hAPP @t967 @t60) @t45)) % 6.62/6.85 (define @t987 () (tptp.hAPP @t323 @t424)) % 6.62/6.85 (define @t988 () (tptp.class_Orderings_Oord @t8)) % 6.62/6.85 (define @t989 () (tptp.hAPP (tptp.hAPP @t802 @t3) @t206)) % 6.62/6.85 (define @t990 () (forall @t210 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t989) @t208)))) % 6.62/6.85 (define @t991 () (tptp.hAPP (tptp.hAPP @t798 @t3) @t206)) % 6.62/6.85 (define @t992 () (forall @t210 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t991) @t208)))) % 6.62/6.85 (define @t993 () (tptp.hAPP (tptp.hAPP @t642 @t3) @t206)) % 6.62/6.85 (define @t994 () (tptp.hAPP @t803 (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 @t239))) % 6.62/6.85 (define @t995 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 @t45)) % 6.62/6.85 (define @t996 () (tptp.hAPP @t799 (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 @t239))) % 6.62/6.85 (define @t997 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 @t45)) % 6.62/6.85 (define @t998 () (tptp.hAPP @t799 @t997)) % 6.62/6.85 (define @t999 () (tptp.hAPP @t803 @t995)) % 6.62/6.85 (define @t1000 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 @t123)) % 6.62/6.85 (define @t1001 () (=> @t90 (= @t1000 @t998))) % 6.62/6.85 (define @t1002 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 @t123)) % 6.62/6.85 (define @t1003 () (=> @t90 (= @t1002 @t999))) % 6.62/6.85 (define @t1004 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 @t74)) % 6.62/6.85 (define @t1005 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 @t74)) % 6.62/6.85 (define @t1006 () (forall @t210 (= (tptp.hAPP @t38 @t989) (tptp.hAPP (tptp.hAPP @t802 @t227) @t226)))) % 6.62/6.85 (define @t1007 () (@list @t221 @t38 @t8)) % 6.62/6.85 (define @t1008 () (forall @t210 (= (tptp.hAPP @t38 @t991) (tptp.hAPP (tptp.hAPP @t798 @t227) @t226)))) % 6.62/6.85 (define @t1009 () (forall @t7 (=> @t130 (tptp.hBOOL (tptp.hAPP @t949 @t57))))) % 6.62/6.85 (define @t1010 () (@list @t82 @t57 @t45 @t8)) % 6.62/6.85 (define @t1011 () (tptp.hAPP @t798 @t57)) % 6.62/6.85 (define @t1012 () (forall @t7 (=> @t130 (tptp.hBOOL (tptp.hAPP @t894 @t3))))) % 6.62/6.85 (define @t1013 () (tptp.c_Finite__Set_Ocard @t8)) % 6.62/6.85 (define @t1014 () (tptp.hAPP @t1013 @t45)) % 6.62/6.85 (define @t1015 () (tptp.hAPP @t120 @t53)) % 6.62/6.85 (define @t1016 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1017 () (tptp.hAPP @t1013 @t239)) % 6.62/6.85 (define @t1018 () (tptp.c_Groups_Ouminus__class_Ouminus @t80)) % 6.62/6.85 (define @t1019 () (tptp.hAPP @t1018 @t93)) % 6.62/6.85 (define @t1020 () (tptp.hAPP @t92 @t827)) % 6.62/6.85 (define @t1021 () (tptp.c_Orderings_Otop__class_Otop @t52)) % 6.62/6.85 (define @t1022 () (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t1021)) % 6.62/6.85 (define @t1023 () (tptp.c_Finite__Set_Ofold__image @t39 @t8 @t812)) % 6.62/6.85 (define @t1024 () (tptp.hAPP @t1023 @t1)) % 6.62/6.85 (define @t1025 () (tptp.hAPP @t1024 @t142)) % 6.62/6.85 (define @t1026 () (tptp.hAPP @t1025 @t45)) % 6.62/6.85 (define @t1027 () (tptp.class_Groups_Oab__semigroup__mult @t39)) % 6.62/6.85 (define @t1028 () (@var "V_K_2" $$unsorted)) % 6.62/6.85 (define @t1029 () (@var "B_i" $$unsorted)) % 6.62/6.85 (define @t1030 () (tptp.hAPP @t2 @t1029)) % 6.62/6.85 (define @t1031 () (tptp.hAPP @t387 @t1030)) % 6.62/6.85 (define @t1032 () (tptp.hAPP @t58 @t1029)) % 6.62/6.85 (define @t1033 () (@list @t1029)) % 6.62/6.85 (define @t1034 () (tptp.class_Groups_Oordered__ab__semigroup__add @t39)) % 6.62/6.85 (define @t1035 () (and @t575 @t1034)) % 6.62/6.85 (define @t1036 () (tptp.hAPP (tptp.hAPP @t802 @t995) @t1005)) % 6.62/6.85 (define @t1037 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t52)) % 6.62/6.85 (define @t1038 () (tptp.hAPP @t1037 @t45)) % 6.62/6.85 (define @t1039 () (tptp.hAPP @t1038 @t74)) % 6.62/6.85 (define @t1040 () (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 @t1039)) % 6.62/6.85 (define @t1041 () (= @t1040 @t1036)) % 6.62/6.85 (define @t1042 () (tptp.hAPP (tptp.hAPP @t798 @t997) @t1004)) % 6.62/6.85 (define @t1043 () (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 @t1039)) % 6.62/6.85 (define @t1044 () (= @t1043 @t1042)) % 6.62/6.85 (define @t1045 () (tptp.hAPP (tptp.hAPP @t802 @t736) @t981)) % 6.62/6.85 (define @t1046 () (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1039)) % 6.62/6.85 (define @t1047 () (= @t1046 @t1045)) % 6.62/6.85 (define @t1048 () (tptp.hAPP (tptp.hAPP @t798 @t735) @t982)) % 6.62/6.85 (define @t1049 () (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1039)) % 6.62/6.85 (define @t1050 () (= @t1049 @t1048)) % 6.62/6.85 (define @t1051 () (tptp.hBOOL @t273)) % 6.62/6.85 (define @t1052 () (tptp.hBOOL (tptp.hAPP @t1039 @t60))) % 6.62/6.85 (define @t1053 () (not @t1051)) % 6.62/6.85 (define @t1054 () (tptp.hBOOL (tptp.hAPP @t99 @t1039))) % 6.62/6.85 (define @t1055 () (@list @t45 @t74 @t82 @t8)) % 6.62/6.85 (define @t1056 () (tptp.hBOOL (tptp.hAPP @t42 @t1021))) % 6.62/6.85 (define @t1057 () (tptp.tc_Option_Ooption @t8)) % 6.62/6.85 (define @t1058 () (tptp.c_Orderings_Otop__class_Otop @t80)) % 6.62/6.85 (define @t1059 () (tptp.hBOOL (tptp.hAPP @t41 @t1058))) % 6.62/6.85 (define @t1060 () (tptp.tc_sum @t8 @t39)) % 6.62/6.85 (define @t1061 () (tptp.tc_fun @t1060 tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t1062 () (tptp.c_Orderings_Otop__class_Otop @t1061)) % 6.62/6.85 (define @t1063 () (tptp.c_Finite__Set_Ofinite @t1060)) % 6.62/6.85 (define @t1064 () (@list @t39 @t8)) % 6.62/6.85 (define @t1065 () (tptp.tc_prod @t8 @t39)) % 6.62/6.85 (define @t1066 () (tptp.tc_fun @t1065 tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t1067 () (tptp.c_Orderings_Otop__class_Otop @t1066)) % 6.62/6.85 (define @t1068 () (tptp.c_Finite__Set_Ofinite @t1065)) % 6.62/6.85 (define @t1069 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t372)) % 6.62/6.85 (define @t1070 () (tptp.hAPP @t1069 @t371)) % 6.62/6.85 (define @t1071 () (= (tptp.hAPP @t1070 @t371) @t371)) % 6.62/6.85 (define @t1072 () (tptp.class_Lattices_Olattice @t372)) % 6.62/6.85 (define @t1073 () (@list @t74 @t8)) % 6.62/6.85 (define @t1074 () (tptp.hAPP @t1037 @t74)) % 6.62/6.85 (define @t1075 () (tptp.hAPP @t1074 @t45)) % 6.62/6.85 (define @t1076 () (tptp.hAPP @t1038 @t447)) % 6.62/6.85 (define @t1077 () (tptp.hAPP @t1074 @t447)) % 6.62/6.85 (define @t1078 () (tptp.hAPP @t1038 @t1077)) % 6.62/6.85 (define @t1079 () (tptp.hAPP @t180 @t3)) % 6.62/6.85 (define @t1080 () (tptp.hBOOL @t1079)) % 6.62/6.85 (define @t1081 () (tptp.hBOOL (tptp.hAPP @t129 @t74))) % 6.62/6.85 (define @t1082 () (tptp.hBOOL (tptp.hAPP @t129 @t1039))) % 6.62/6.85 (define @t1083 () (@list @t180 @t74 @t45 @t8)) % 6.62/6.85 (define @t1084 () (tptp.c_Orderings_Otop__class_Otop @t8)) % 6.62/6.85 (define @t1085 () (tptp.c_Orderings_Otop__class_Otop @t372)) % 6.62/6.85 (define @t1086 () (tptp.class_Lattices_Obounded__lattice__top @t372)) % 6.62/6.85 (define @t1087 () (tptp.hAPP @t1069 @t403)) % 6.62/6.85 (define @t1088 () (tptp.class_Lattices_Osemilattice__sup @t372)) % 6.62/6.85 (define @t1089 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8)) % 6.62/6.85 (define @t1090 () (tptp.class_Lattices_Olattice @t8)) % 6.62/6.85 (define @t1091 () (@list @t60 @t1 @t2 @t39 @t8)) % 6.62/6.85 (define @t1092 () (tptp.hAPP @t1069 @t407)) % 6.62/6.85 (define @t1093 () (tptp.hAPP @t1087 @t407)) % 6.62/6.85 (define @t1094 () (tptp.hAPP @t1069 @t381)) % 6.62/6.85 (define @t1095 () (tptp.hAPP @t1094 @t371)) % 6.62/6.85 (define @t1096 () (tptp.hAPP @t1070 @t381)) % 6.62/6.85 (define @t1097 () (= @t1096 @t1095)) % 6.62/6.85 (define @t1098 () (= (tptp.hAPP @t1070 @t1096) @t1096)) % 6.62/6.85 (define @t1099 () (tptp.hAPP @t1087 (tptp.hAPP @t1092 @t404))) % 6.62/6.85 (define @t1100 () (tptp.hAPP @t1070 @t392)) % 6.62/6.85 (define @t1101 () (tptp.hAPP @t1094 @t392)) % 6.62/6.85 (define @t1102 () (tptp.hAPP @t1070 @t1101)) % 6.62/6.85 (define @t1103 () (= @t1102 (tptp.hAPP @t1094 @t1100))) % 6.62/6.85 (define @t1104 () (= (tptp.hAPP (tptp.hAPP @t1069 @t1096) @t392) @t1102)) % 6.62/6.85 (define @t1105 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t388 tptp.tc_HOL_Obool))) % 6.62/6.85 (define @t1106 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t388) @t1105))) % 6.62/6.85 (define @t1107 () (tptp.hAPP @t1013 @t1021)) % 6.62/6.85 (define @t1108 () (tptp.hAPP @t1037 @t827)) % 6.62/6.85 (define @t1109 () (tptp.hAPP @t1069 @t836)) % 6.62/6.85 (define @t1110 () (tptp.hBOOL (tptp.hAPP @t374 @t1096))) % 6.62/6.85 (define @t1111 () (tptp.hBOOL (tptp.hAPP @t382 @t1096))) % 6.62/6.85 (define @t1112 () (tptp.hAPP @t1089 @t60)) % 6.62/6.85 (define @t1113 () (tptp.hAPP @t1112 @t109)) % 6.62/6.85 (define @t1114 () (tptp.class_Lattices_Osemilattice__sup @t8)) % 6.62/6.85 (define @t1115 () (tptp.hBOOL (tptp.hAPP @t374 @t1093))) % 6.62/6.85 (define @t1116 () (tptp.hAPP @t373 @t1093)) % 6.62/6.85 (define @t1117 () (tptp.hBOOL (tptp.hAPP @t1116 @t371))) % 6.62/6.85 (define @t1118 () (tptp.hBOOL (tptp.hAPP @t684 @t1093))) % 6.62/6.85 (define @t1119 () (tptp.class_Lattices_Obounded__lattice__bot @t372)) % 6.62/6.85 (define @t1120 () (tptp.hBOOL (tptp.hAPP @t42 @t12))) % 6.62/6.85 (define @t1121 () (tptp.hBOOL (tptp.hAPP @t42 (tptp.hAPP (tptp.hAPP @t1037 @t37) @t12)))) % 6.62/6.85 (define @t1122 () (@list @t12 @t37 @t8)) % 6.62/6.85 (define @t1123 () (= @t1039 @t74)) % 6.62/6.85 (define @t1124 () (tptp.hAPP @t350 @t1039)) % 6.62/6.85 (define @t1125 () (@list @t74 @t447 @t45 @t8)) % 6.62/6.85 (define @t1126 () (tptp.hAPP @t1037 @t447)) % 6.62/6.85 (define @t1127 () (tptp.hBOOL (tptp.hAPP @t377 @t502))) % 6.62/6.85 (define @t1128 () (@list @t502 @t74 @t447 @t45 @t8)) % 6.62/6.85 (define @t1129 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t80)) % 6.62/6.85 (define @t1130 () (tptp.hAPP @t1129 @t45)) % 6.62/6.85 (define @t1131 () (tptp.hAPP @t1130 @t74)) % 6.62/6.85 (define @t1132 () (@list @t74 @t45 @t2 @t8 @t39)) % 6.62/6.85 (define @t1133 () (tptp.hAPP @t1038 @t335)) % 6.62/6.85 (define @t1134 () (tptp.hAPP @t334 @t447)) % 6.62/6.85 (define @t1135 () (tptp.hAPP @t238 @t447)) % 6.62/6.85 (define @t1136 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t8 @t39 @t2) @t1)) % 6.62/6.85 (define @t1137 () (tptp.hAPP @t1136 @t142)) % 6.62/6.85 (define @t1138 () (@list @t60 @t199 @t200 @t8)) % 6.62/6.85 (define @t1139 () (tptp.c_Set_Oimage @t39 @t125 @t1)) % 6.62/6.85 (define @t1140 () (tptp.c_Set_Oimage @t125 @t8 @t2)) % 6.62/6.85 (define @t1141 () (tptp.tc_fun @t125 @t39)) % 6.62/6.85 (define @t1142 () (tptp.hAPP (tptp.hAPP @t474 @t2) @t1)) % 6.62/6.85 (define @t1143 () (tptp.hAPP @t1013 @t123)) % 6.62/6.85 (define @t1144 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1145 () (tptp.hAPP @t1144 @t1014)) % 6.62/6.85 (define @t1146 () (tptp.hAPP @t1013 @t74)) % 6.62/6.85 (define @t1147 () (tptp.c_Finite__Set_Ocard @t39)) % 6.62/6.85 (define @t1148 () (tptp.hAPP @t1147 @t93)) % 6.62/6.85 (define @t1149 () (@list @t2 @t39 @t45 @t8)) % 6.62/6.85 (define @t1150 () (tptp.hAPP @t1147 @t45)) % 6.62/6.85 (define @t1151 () (= @t1148 @t1014)) % 6.62/6.85 (define @t1152 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1014) @t1146))) % 6.62/6.85 (define @t1153 () (= (= @t93 @t484) @t106)) % 6.62/6.85 (define @t1154 () (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t1039)) % 6.62/6.85 (define @t1155 () (tptp.hAPP @t55 @t1058)) % 6.62/6.85 (define @t1156 () (tptp.hAPP @t58 @t64)) % 6.62/6.85 (define @t1157 () (tptp.tc_fun @t80 @t80)) % 6.62/6.85 (define @t1158 () (tptp.c_COMBC @t8 @t80 @t80)) % 6.62/6.85 (define @t1159 () (tptp.c_Set_Oimage @t39 @t8 @t1)) % 6.62/6.85 (define @t1160 () (tptp.hAPP (tptp.hAPP @t2 @t173) @t528)) % 6.62/6.85 (define @t1161 () (tptp.hAPP @t37 @t1131)) % 6.62/6.85 (define @t1162 () (= @t1161 @t1160)) % 6.62/6.85 (define @t1163 () (tptp.hAPP @t1137 @t45)) % 6.62/6.85 (define @t1164 () (tptp.hAPP @t1013 @t254)) % 6.62/6.85 (define @t1165 () (tptp.hAPP @t467 @t1014)) % 6.62/6.85 (define @t1166 () (tptp.hAPP @t1165 @t1146)) % 6.62/6.85 (define @t1167 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t1089)) % 6.62/6.85 (define @t1168 () (tptp.hAPP @t1167 @t57)) % 6.62/6.85 (define @t1169 () (tptp.hAPP @t1168 @t45)) % 6.62/6.85 (define @t1170 () (tptp.hAPP @t1089 @t13)) % 6.62/6.85 (define @t1171 () (@list @t372)) % 6.62/6.85 (define @t1172 () (= @t206 @t3)) % 6.62/6.85 (define @t1173 () (tptp.hAPP @t2 @t206)) % 6.62/6.85 (define @t1174 () (tptp.hAPP @t92 @t1021)) % 6.62/6.85 (define @t1175 () (= (tptp.hAPP @t480 @t1021) @t1021)) % 6.62/6.85 (define @t1176 () (tptp.c_Fun_Oinj__on @t8 @t8 @t2 @t1021)) % 6.62/6.85 (define @t1177 () (@list @t2 @t8)) % 6.62/6.85 (define @t1178 () (tptp.hAPP @t1018 @t45)) % 6.62/6.85 (define @t1179 () (= @t1155 @t1021)) % 6.62/6.85 (define @t1180 () (tptp.hAPP @t37 @t1039)) % 6.62/6.85 (define @t1181 () (= @t1180 @t1160)) % 6.62/6.85 (define @t1182 () (=> @t234 (= @t657 @t1163))) % 6.62/6.85 (define @t1183 () (tptp.hAPP @t1170 @t57)) % 6.62/6.85 (define @t1184 () (tptp.hAPP @t1147 @t74)) % 6.62/6.85 (define @t1185 () (tptp.hBOOL (tptp.hAPP @t1145 @t1184))) % 6.62/6.85 (define @t1186 () (tptp.hBOOL (tptp.hAPP @t505 @t74))) % 6.62/6.85 (define @t1187 () (= @t1014 @t1184)) % 6.62/6.85 (define @t1188 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP @t1159 @t74)) @t45))) % 6.62/6.85 (define @t1189 () (tptp.c_Fun_Oinj__on @t39 @t8 @t1 @t74)) % 6.62/6.85 (define @t1190 () (@list @t1 @t74 @t45 @t2 @t39 @t8)) % 6.62/6.85 (define @t1191 () (= (tptp.hAPP @t806 @t1039) (tptp.hAPP (tptp.hAPP @t642 @t808) (tptp.hAPP @t806 @t74)))) % 6.62/6.85 (define @t1192 () (@list @t74 @t39 @t45 @t8)) % 6.62/6.85 (define @t1193 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1194 () (=> @t88 (= @t1017 (tptp.hAPP @t1165 @t1193)))) % 6.62/6.85 (define @t1195 () (@list @t404 @t407 @t403)) % 6.62/6.85 (define @t1196 () (@var "V_n_2" $$unsorted)) % 6.62/6.85 (define @t1197 () (tptp.hAPP @t1016 @t307)) % 6.62/6.85 (define @t1198 () (tptp.hBOOL (tptp.hAPP @t1197 @t1196))) % 6.62/6.85 (define @t1199 () (@var "V_k_2" $$unsorted)) % 6.62/6.85 (define @t1200 () (tptp.hAPP @t467 @t1196)) % 6.62/6.85 (define @t1201 () (tptp.hAPP @t1200 @t1199)) % 6.62/6.85 (define @t1202 () (tptp.hAPP @t467 @t307)) % 6.62/6.85 (define @t1203 () (tptp.hAPP @t1202 @t1199)) % 6.62/6.85 (define @t1204 () (tptp.hAPP @t1144 @t1199)) % 6.62/6.85 (define @t1205 () (tptp.hBOOL (tptp.hAPP @t1204 @t1196))) % 6.62/6.85 (define @t1206 () (tptp.hBOOL (tptp.hAPP @t1204 @t307))) % 6.62/6.85 (define @t1207 () (@list @t1196 @t307 @t1199)) % 6.62/6.85 (define @t1208 () (@var "V_l" $$unsorted)) % 6.62/6.85 (define @t1209 () (tptp.hAPP @t467 @t1208)) % 6.62/6.85 (define @t1210 () (tptp.hAPP @t1209 @t793)) % 6.62/6.85 (define @t1211 () (@var "V_n" $$unsorted)) % 6.62/6.85 (define @t1212 () (tptp.hAPP @t1209 @t1211)) % 6.62/6.85 (define @t1213 () (tptp.hAPP @t1016 @t793)) % 6.62/6.85 (define @t1214 () (tptp.hBOOL (tptp.hAPP @t1213 @t1211))) % 6.62/6.85 (define @t1215 () (@list @t1208 @t1211 @t793)) % 6.62/6.85 (define @t1216 () (@var "V_k" $$unsorted)) % 6.62/6.85 (define @t1217 () (@var "V_j" $$unsorted)) % 6.62/6.85 (define @t1218 () (tptp.hAPP @t467 @t1217)) % 6.62/6.85 (define @t1219 () (tptp.hAPP @t1016 @t1217)) % 6.62/6.85 (define @t1220 () (tptp.hBOOL (tptp.hAPP @t1219 @t1216))) % 6.62/6.85 (define @t1221 () (tptp.hAPP @t467 @t793)) % 6.62/6.85 (define @t1222 () (tptp.hAPP @t1221 @t1211)) % 6.62/6.85 (define @t1223 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1224 () (tptp.hAPP @t1223 @t1211)) % 6.62/6.85 (define @t1225 () (= (tptp.hAPP @t1224 @t1222) @t793)) % 6.62/6.85 (define @t1226 () (not @t1214)) % 6.62/6.85 (define @t1227 () (@list @t1211 @t793)) % 6.62/6.85 (define @t1228 () (@var "V_j_2" $$unsorted)) % 6.62/6.85 (define @t1229 () (@var "V_i_2" $$unsorted)) % 6.62/6.85 (define @t1230 () (tptp.hAPP @t1223 @t1229)) % 6.62/6.85 (define @t1231 () (tptp.hAPP @t1230 @t1199)) % 6.62/6.85 (define @t1232 () (tptp.hAPP @t467 @t1228)) % 6.62/6.85 (define @t1233 () (tptp.hAPP @t1232 @t1199)) % 6.62/6.85 (define @t1234 () (tptp.hAPP @t1016 @t1229)) % 6.62/6.85 (define @t1235 () (@list @t1199 @t1228 @t1229)) % 6.62/6.85 (define @t1236 () (tptp.hAPP @t1144 @t1211)) % 6.62/6.85 (define @t1237 () (@list @t1211)) % 6.62/6.85 (define @t1238 () (tptp.hAPP @t1223 @t793)) % 6.62/6.85 (define @t1239 () (tptp.hAPP @t1238 @t1211)) % 6.62/6.85 (define @t1240 () (@list @t793 @t1211)) % 6.62/6.85 (define @t1241 () (tptp.hAPP @t1224 @t793)) % 6.62/6.85 (define @t1242 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1243 () (tptp.hAPP @t1242 @t1223)) % 6.62/6.85 (define @t1244 () (tptp.hAPP @t1243 @t1199)) % 6.62/6.85 (define @t1245 () (@var "B_k" $$unsorted)) % 6.62/6.85 (define @t1246 () (tptp.hAPP @t1223 @t307)) % 6.62/6.85 (define @t1247 () (tptp.hAPP @t1246 @t1245)) % 6.62/6.85 (define @t1248 () (@list @t1245)) % 6.62/6.85 (define @t1249 () (tptp.hAPP @t1144 @t307)) % 6.62/6.85 (define @t1250 () (tptp.hBOOL (tptp.hAPP @t1249 @t1196))) % 6.62/6.85 (define @t1251 () (@list @t1196 @t307)) % 6.62/6.85 (define @t1252 () (tptp.hBOOL (tptp.hAPP @t1236 @t793))) % 6.62/6.85 (define @t1253 () (tptp.hAPP @t1144 @t793)) % 6.62/6.85 (define @t1254 () (tptp.hBOOL (tptp.hAPP @t1253 @t1211))) % 6.62/6.85 (define @t1255 () (tptp.hAPP @t1223 @t1199)) % 6.62/6.85 (define @t1256 () (tptp.hAPP @t1255 @t1196)) % 6.62/6.85 (define @t1257 () (tptp.hAPP @t1255 @t307)) % 6.62/6.85 (define @t1258 () (= @t793 @t1211)) % 6.62/6.85 (define @t1259 () (tptp.hAPP @t1223 @t1217)) % 6.62/6.85 (define @t1260 () (tptp.hAPP @t1259 @t793)) % 6.62/6.85 (define @t1261 () (@var "V_i" $$unsorted)) % 6.62/6.85 (define @t1262 () (tptp.hAPP @t1144 @t1261)) % 6.62/6.85 (define @t1263 () (tptp.hBOOL (tptp.hAPP @t1262 @t1217))) % 6.62/6.85 (define @t1264 () (@list @t793 @t1217 @t1261)) % 6.62/6.85 (define @t1265 () (tptp.hAPP @t1238 @t1217)) % 6.62/6.85 (define @t1266 () (tptp.hAPP @t1259 @t1216)) % 6.62/6.85 (define @t1267 () (tptp.hAPP @t1223 @t1261)) % 6.62/6.85 (define @t1268 () (tptp.hAPP @t1267 @t1216)) % 6.62/6.85 (define @t1269 () (tptp.hAPP @t1144 @t1268)) % 6.62/6.85 (define @t1270 () (@list @t1216 @t1217 @t1261)) % 6.62/6.85 (define @t1271 () (tptp.hAPP @t1144 @t1217)) % 6.62/6.85 (define @t1272 () (tptp.hAPP @t1259 @t1208)) % 6.62/6.85 (define @t1273 () (tptp.hAPP @t1144 @t1216)) % 6.62/6.85 (define @t1274 () (tptp.hBOOL (tptp.hAPP @t1273 @t1208))) % 6.62/6.85 (define @t1275 () (@list @t1208 @t1216 @t1217 @t1261)) % 6.62/6.85 (define @t1276 () (tptp.hBOOL (tptp.hAPP @t1273 @t1211))) % 6.62/6.85 (define @t1277 () (tptp.hAPP @t1238 @t1216)) % 6.62/6.85 (define @t1278 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1277) @t1211))) % 6.62/6.85 (define @t1279 () (@list @t1211 @t1216 @t793)) % 6.62/6.85 (define @t1280 () (@var "B_m" $$unsorted)) % 6.62/6.85 (define @t1281 () (tptp.c_member tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1282 () (tptp.hAPP @t1281 @t3)) % 6.62/6.85 (define @t1283 () (tptp.hBOOL (tptp.hAPP @t1282 @t221))) % 6.62/6.85 (define @t1284 () (@list @t1280)) % 6.62/6.85 (define @t1285 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1286 () (tptp.hBOOL (tptp.hAPP @t1285 @t221))) % 6.62/6.85 (define @t1287 () (@list @t221)) % 6.62/6.85 (define @t1288 () (= @t307 @t1196)) % 6.62/6.85 (define @t1289 () (tptp.hAPP @t1223 @t1196)) % 6.62/6.85 (define @t1290 () (tptp.hAPP @t1289 @t1199)) % 6.62/6.85 (define @t1291 () (tptp.hAPP @t1246 @t1199)) % 6.62/6.85 (define @t1292 () (@list @t1196 @t1199 @t307)) % 6.62/6.85 (define @t1293 () (tptp.hAPP @t1224 @t1216)) % 6.62/6.85 (define @t1294 () (@list @t1216 @t1211 @t793)) % 6.62/6.85 (define @t1295 () (tptp.hAPP @t1223 @t371)) % 6.62/6.85 (define @t1296 () (tptp.hAPP @t1223 @t381)) % 6.62/6.85 (define @t1297 () (tptp.hAPP @t1296 @t392)) % 6.62/6.85 (define @t1298 () (@list @t392 @t381 @t371)) % 6.62/6.85 (define @t1299 () (tptp.c_Groups_Oone__class_Oone @t8)) % 6.62/6.85 (define @t1300 () (= @t60 @t1299)) % 6.62/6.85 (define @t1301 () (and (= @t307 @t1193) (= @t1196 @t1193))) % 6.62/6.85 (define @t1302 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1303 () (tptp.hAPP @t1302 @t307)) % 6.62/6.85 (define @t1304 () (tptp.hAPP @t1303 @t1196)) % 6.62/6.85 (define @t1305 () (tptp.hAPP @t1302 @t1211)) % 6.62/6.85 (define @t1306 () (tptp.hAPP @t1302 @t1216)) % 6.62/6.85 (define @t1307 () (tptp.hAPP @t1306 @t1211)) % 6.62/6.85 (define @t1308 () (tptp.hAPP @t1306 @t793)) % 6.62/6.85 (define @t1309 () (@list @t1211 @t793 @t1216)) % 6.62/6.85 (define @t1310 () (tptp.hAPP @t1305 @t1216)) % 6.62/6.85 (define @t1311 () (tptp.hAPP @t1302 @t793)) % 6.62/6.85 (define @t1312 () (tptp.hAPP @t1311 @t1216)) % 6.62/6.85 (define @t1313 () (tptp.hAPP @t1302 @t1217)) % 6.62/6.85 (define @t1314 () (tptp.hAPP @t1302 @t1261)) % 6.62/6.85 (define @t1315 () (tptp.hAPP @t1314 @t1216)) % 6.62/6.85 (define @t1316 () (tptp.hAPP @t1144 @t1315)) % 6.62/6.85 (define @t1317 () (tptp.hAPP @t1306 @t1217)) % 6.62/6.85 (define @t1318 () (tptp.hAPP @t1306 @t1261)) % 6.62/6.85 (define @t1319 () (tptp.hAPP @t1313 @t1216)) % 6.62/6.85 (define @t1320 () (tptp.hAPP @t1311 @t793)) % 6.62/6.85 (define @t1321 () (@list @t793)) % 6.62/6.85 (define @t1322 () (tptp.c_Groups_Oone__class_Oone @t372)) % 6.62/6.85 (define @t1323 () (= (tptp.hAPP @t673 @t1322) @t403)) % 6.62/6.85 (define @t1324 () (tptp.class_Groups_Ocomm__monoid__mult @t372)) % 6.62/6.85 (define @t1325 () (tptp.class_Groups_Omonoid__mult @t372)) % 6.62/6.85 (define @t1326 () (= (tptp.hAPP (tptp.hAPP @t670 @t1322) @t403) @t403)) % 6.62/6.85 (define @t1327 () (= @t5 @t1193)) % 6.62/6.85 (define @t1328 () (tptp.hBOOL (tptp.hAPP @t129 @t37))) % 6.62/6.85 (define @t1329 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1330 () (tptp.hAPP @t1329 @t2)) % 6.62/6.85 (define @t1331 () (@list @t2 @t37 @t8)) % 6.62/6.85 (define @t1332 () (tptp.c_COMBK @t8 @t39)) % 6.62/6.85 (define @t1333 () (@list @t45 @t39 @t8)) % 6.62/6.85 (define @t1334 () (tptp.hAPP @t583 @t1322)) % 6.62/6.85 (define @t1335 () (tptp.class_Rings_Olinordered__semidom @t372)) % 6.62/6.85 (define @t1336 () (tptp.hAPP @t680 @t1322)) % 6.62/6.85 (define @t1337 () (@list @t1211 @t793 @t372)) % 6.62/6.85 (define @t1338 () (tptp.hAPP (tptp.hAPP @t670 @t1334) @t793)) % 6.62/6.85 (define @t1339 () (tptp.hAPP @t577 @t793)) % 6.62/6.85 (define @t1340 () (tptp.hAPP @t577 @t1322)) % 6.62/6.85 (define @t1341 () (tptp.hAPP @t1340 @t1322)) % 6.62/6.85 (define @t1342 () (tptp.hAPP @t670 @t1341)) % 6.62/6.85 (define @t1343 () (@list @t793 @t372)) % 6.62/6.85 (define @t1344 () (tptp.hAPP @t834 @t1322)) % 6.62/6.85 (define @t1345 () (tptp.hAPP @t819 @t1299)) % 6.62/6.85 (define @t1346 () (tptp.hAPP @t788 @t60)) % 6.62/6.85 (define @t1347 () (tptp.class_Rings_Oring__1__no__zero__divisors @t8)) % 6.62/6.85 (define @t1348 () (@list @t1 @t39 @t8)) % 6.62/6.85 (define @t1349 () (tptp.c_Groups_Oone__class_Oone @t39)) % 6.62/6.85 (define @t1350 () (not @t50)) % 6.62/6.85 (define @t1351 () (@list @t2 @t45 @t8 @t39)) % 6.62/6.85 (define @t1352 () (=> @t1350 (= @t815 @t1349))) % 6.62/6.85 (define @t1353 () (@list @t1 @t45 @t8 @t39)) % 6.62/6.85 (define @t1354 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t8) @t1193)) % 6.62/6.85 (define @t1355 () (not @t1288)) % 6.62/6.85 (define @t1356 () (or @t1198 @t1288)) % 6.62/6.85 (define @t1357 () (not @t1258)) % 6.62/6.85 (define @t1358 () (tptp.hAPP @t1016 @t1261)) % 6.62/6.85 (define @t1359 () (tptp.hAPP @t1267 @t1217)) % 6.62/6.85 (define @t1360 () (tptp.hAPP @t1016 @t1359)) % 6.62/6.85 (define @t1361 () (tptp.hAPP @t1223 @t1216)) % 6.62/6.85 (define @t1362 () (tptp.hAPP @t1361 @t1211)) % 6.62/6.85 (define @t1363 () (tptp.hAPP @t1016 @t1216)) % 6.62/6.85 (define @t1364 () (tptp.hBOOL (tptp.hAPP @t1363 @t1208))) % 6.62/6.85 (define @t1365 () (tptp.hAPP @t1016 @t1268)) % 6.62/6.85 (define @t1366 () (tptp.hBOOL (tptp.hAPP @t1358 @t1217))) % 6.62/6.85 (define @t1367 () (tptp.hAPP @t1259 @t1261)) % 6.62/6.85 (define @t1368 () (@list @t1261 @t1217)) % 6.62/6.85 (define @t1369 () (@list @t1217 @t1261)) % 6.62/6.85 (define @t1370 () (tptp.hAPP @t1016 @t1211)) % 6.62/6.85 (define @t1371 () (tptp.hAPP @t1016 @t1196)) % 6.62/6.85 (define @t1372 () (tptp.hBOOL (tptp.hAPP @t1371 @t307))) % 6.62/6.85 (define @t1373 () (tptp.hAPP @t1016 @t371)) % 6.62/6.85 (define @t1374 () (tptp.hBOOL (tptp.hAPP @t1373 @t381))) % 6.62/6.85 (define @t1375 () (@list @t381 @t371)) % 6.62/6.85 (define @t1376 () (tptp.hBOOL (tptp.hAPP @t1370 @t793))) % 6.62/6.85 (define @t1377 () (@var "V_t" $$unsorted)) % 6.62/6.85 (define @t1378 () (@var "V_s" $$unsorted)) % 6.62/6.85 (define @t1379 () (tptp.hAPP @t180 @t1196)) % 6.62/6.85 (define @t1380 () (tptp.hBOOL (tptp.hAPP @t1379 @t307))) % 6.62/6.85 (define @t1381 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t39 @t312) @t8) (tptp.c_If @t39))) % 6.62/6.85 (define @t1382 () (tptp.c_COMBS @t8 @t39 @t312)) % 6.62/6.85 (define @t1383 () (tptp.c_COMBC @t8 @t39 @t39)) % 6.62/6.85 (define @t1384 () (tptp.hAPP @t1383 (tptp.hAPP (tptp.hAPP @t1382 (tptp.hAPP @t1381 @t325)) @t57))) % 6.62/6.85 (define @t1385 () (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t1384 @t1349)) @t199)) % 6.62/6.85 (define @t1386 () (tptp.hBOOL (tptp.hAPP @t66 @t199))) % 6.62/6.85 (define @t1387 () (not @t1386)) % 6.62/6.85 (define @t1388 () (tptp.hAPP @t57 @t13)) % 6.62/6.85 (define @t1389 () (@list @t57 @t13 @t199 @t8 @t39)) % 6.62/6.85 (define @t1390 () (tptp.hAPP tptp.c_fequal @t13)) % 6.62/6.85 (define @t1391 () (tptp.hAPP @t1383 (tptp.hAPP (tptp.hAPP @t1382 (tptp.hAPP @t1381 @t1390)) @t57))) % 6.62/6.85 (define @t1392 () (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t1391 @t1349)) @t199)) % 6.62/6.85 (define @t1393 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1394 () (tptp.hAPP @t1393 @t1211)) % 6.62/6.85 (define @t1395 () (tptp.hAPP @t467 @t1211)) % 6.62/6.85 (define @t1396 () (tptp.hAPP @t1395 @t793)) % 6.62/6.85 (define @t1397 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1398 () (tptp.hAPP (tptp.hAPP @t1397 @t793) @t1211)) % 6.62/6.85 (define @t1399 () (tptp.hAPP @t1395 @t1261)) % 6.62/6.85 (define @t1400 () (tptp.hAPP @t467 @t1241)) % 6.62/6.85 (define @t1401 () (tptp.hAPP @t467 @t1261)) % 6.62/6.85 (define @t1402 () (tptp.hAPP @t1401 @t1217)) % 6.62/6.85 (define @t1403 () (tptp.hAPP (tptp.hAPP @t467 @t1402) @t1216)) % 6.62/6.85 (define @t1404 () (tptp.hAPP @t1361 @t793)) % 6.62/6.85 (define @t1405 () (tptp.hAPP @t467 @t1277)) % 6.62/6.85 (define @t1406 () (tptp.hAPP @t1218 @t1216)) % 6.62/6.85 (define @t1407 () (tptp.hAPP (tptp.hAPP @t1223 @t1406) @t1261)) % 6.62/6.85 (define @t1408 () (tptp.hAPP (tptp.hAPP @t467 @t1367) @t1216)) % 6.62/6.85 (define @t1409 () (tptp.hBOOL (tptp.hAPP @t1273 @t1217))) % 6.62/6.85 (define @t1410 () (@list @t1261 @t1217 @t1216)) % 6.62/6.85 (define @t1411 () (tptp.hAPP @t1267 @t1406)) % 6.62/6.85 (define @t1412 () (tptp.hAPP (tptp.hAPP @t467 @t1359) @t1216)) % 6.62/6.85 (define @t1413 () (tptp.hAPP @t1232 @t1229)) % 6.62/6.85 (define @t1414 () (tptp.hAPP @t1144 @t1229)) % 6.62/6.85 (define @t1415 () (tptp.hBOOL (tptp.hAPP @t1414 @t1228))) % 6.62/6.85 (define @t1416 () (@list @t1211 @t1261)) % 6.62/6.85 (define @t1417 () (@list @t793 @t1211 @t1216)) % 6.62/6.85 (define @t1418 () (tptp.hAPP @t1144 @t1228)) % 6.62/6.85 (define @t1419 () (tptp.hAPP @t1023 @t38)) % 6.62/6.85 (define @t1420 () (tptp.hAPP @t1024 @t1349)) % 6.62/6.85 (define @t1421 () (tptp.hAPP @t1420 @t45)) % 6.62/6.85 (define @t1422 () (tptp.hAPP @t812 @t1421)) % 6.62/6.85 (define @t1423 () (tptp.hAPP @t1223 @t1193)) % 6.62/6.85 (define @t1424 () (=> @t50 (= @t815 @t1421))) % 6.62/6.85 (define @t1425 () (tptp.hAPP @t1423 @t1017)) % 6.62/6.85 (define @t1426 () (@var "V_u_2" $$unsorted)) % 6.62/6.85 (define @t1427 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1302 @t1413) @t1426)) @t1196)) % 6.62/6.85 (define @t1428 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1302 @t1228) @t1426)) @t1196)) % 6.62/6.85 (define @t1429 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1302 @t1229) @t1426)) @t307)) % 6.62/6.85 (define @t1430 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1429) @t1428))) % 6.62/6.85 (define @t1431 () (@list @t1196 @t307 @t1426 @t1228 @t1229)) % 6.62/6.85 (define @t1432 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1302 (tptp.hAPP (tptp.hAPP @t467 @t1229) @t1228)) @t1426)) @t307)) % 6.62/6.85 (define @t1433 () (tptp.hBOOL (tptp.hAPP @t1418 @t1229))) % 6.62/6.85 (define @t1434 () (@list @t1196 @t307 @t1426 @t1229 @t1228)) % 6.62/6.85 (define @t1435 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1429) @t1428))) % 6.62/6.85 (define @t1436 () (@var "V_u" $$unsorted)) % 6.62/6.85 (define @t1437 () (tptp.hAPP @t1223 (tptp.hAPP @t1313 @t1436))) % 6.62/6.85 (define @t1438 () (tptp.hAPP @t1223 (tptp.hAPP @t1314 @t1436))) % 6.62/6.85 (define @t1439 () (tptp.hAPP (tptp.hAPP @t467 (tptp.hAPP @t1438 @t793)) (tptp.hAPP @t1437 @t1211))) % 6.62/6.85 (define @t1440 () (tptp.hBOOL (tptp.hAPP @t1271 @t1261))) % 6.62/6.85 (define @t1441 () (= @t1429 @t1428)) % 6.62/6.85 (define @t1442 () (tptp.hAPP @t1218 @t1261)) % 6.62/6.85 (define @t1443 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t1444 () (tptp.c_Orderings_Otop__class_Otop @t1443)) % 6.62/6.85 (define @t1445 () (tptp.hAPP @t1311 @t1211)) % 6.62/6.85 (define @t1446 () (tptp.hAPP @t1305 @t793)) % 6.62/6.85 (define @t1447 () (@var "V_less__eq_2" $$unsorted)) % 6.62/6.85 (define @t1448 () (tptp.hAPP @t1447 @t1229)) % 6.62/6.85 (define @t1449 () (tptp.hAPP @t58 @t1229)) % 6.62/6.85 (define @t1450 () (@list @t1199 @t1447 @t1229 @t8)) % 6.62/6.85 (define @t1451 () (@var "V_less_2" $$unsorted)) % 6.62/6.85 (define @t1452 () (tptp.hAPP @t1451 @t1229)) % 6.62/6.85 (define @t1453 () (@list @t1199 @t1451 @t1229 @t8)) % 6.62/6.85 (define @t1454 () (tptp.hBOOL (tptp.hAPP @t1448 @t1426))) % 6.62/6.85 (define @t1455 () (@var "V_l_2" $$unsorted)) % 6.62/6.85 (define @t1456 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1447 @t1455) @t1229))) % 6.62/6.85 (define @t1457 () (tptp.hBOOL (tptp.hAPP @t1452 @t1426))) % 6.62/6.85 (define @t1458 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1451 @t1455) @t1229))) % 6.62/6.85 (define @t1459 () (@list @t1426 @t1455 @t1451 @t1447 @t1229 @t8)) % 6.62/6.85 (define @t1460 () (tptp.hAPP @t1013 @t199)) % 6.62/6.85 (define @t1461 () (tptp.c_Power_Opower__class_Opower @t39)) % 6.62/6.85 (define @t1462 () (tptp.hAPP @t1461 @t82)) % 6.62/6.85 (define @t1463 () (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t1384 @t82)) @t199)) % 6.62/6.85 (define @t1464 () (tptp.hAPP @t1144 @t371)) % 6.62/6.85 (define @t1465 () (tptp.hBOOL (tptp.hAPP @t1464 @t1297))) % 6.62/6.85 (define @t1466 () (tptp.hBOOL (tptp.hAPP @t1464 @t381))) % 6.62/6.85 (define @t1467 () (@list @t381 @t392 @t371)) % 6.62/6.85 (define @t1468 () (tptp.hBOOL (tptp.hAPP @t1373 @t1297))) % 6.62/6.85 (define @t1469 () (tptp.hAPP @t1112 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t239))) % 6.62/6.85 (define @t1470 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t45)) % 6.62/6.85 (define @t1471 () (@var "V_q" $$unsorted)) % 6.62/6.85 (define @t1472 () (tptp.c_Power_Opower__class_Opower @t372)) % 6.62/6.85 (define @t1473 () (tptp.hAPP @t1472 @t381)) % 6.62/6.85 (define @t1474 () (tptp.hAPP @t1472 @t371)) % 6.62/6.85 (define @t1475 () (tptp.hAPP @t1474 @t1471)) % 6.62/6.85 (define @t1476 () (tptp.hAPP @t670 @t1475)) % 6.62/6.85 (define @t1477 () (@var "V_p" $$unsorted)) % 6.62/6.85 (define @t1478 () (tptp.hAPP @t1302 @t1477)) % 6.62/6.85 (define @t1479 () (tptp.hAPP @t1474 @t1477)) % 6.62/6.85 (define @t1480 () (@list @t1471 @t1477 @t371 @t372)) % 6.62/6.85 (define @t1481 () (tptp.hAPP @t1112 @t1470)) % 6.62/6.85 (define @t1482 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t123)) % 6.62/6.85 (define @t1483 () (=> @t90 (= @t1482 @t1481))) % 6.62/6.85 (define @t1484 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t74)) % 6.62/6.85 (define @t1485 () (tptp.hAPP (tptp.hAPP @t1089 @t1470) @t1484)) % 6.62/6.85 (define @t1486 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t1039)) % 6.62/6.85 (define @t1487 () (= @t1486 @t1485)) % 6.62/6.85 (define @t1488 () (tptp.hAPP @t1472 @t403)) % 6.62/6.85 (define @t1489 () (tptp.hAPP @t1488 @t1211)) % 6.62/6.85 (define @t1490 () (tptp.hAPP @t1488 @t793)) % 6.62/6.85 (define @t1491 () (tptp.hBOOL (tptp.hAPP @t1336 @t403))) % 6.62/6.85 (define @t1492 () (@list @t1211 @t793 @t403 @t372)) % 6.62/6.85 (define @t1493 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t60) @t109))) % 6.62/6.85 (define @t1494 () (tptp.c_Power_Opower__class_Opower @t8)) % 6.62/6.85 (define @t1495 () (tptp.hAPP @t1494 @t57)) % 6.62/6.85 (define @t1496 () (tptp.hAPP @t1495 @t109)) % 6.62/6.85 (define @t1497 () (tptp.hAPP @t1495 @t60)) % 6.62/6.85 (define @t1498 () (tptp.hAPP @t702 @t1299)) % 6.62/6.85 (define @t1499 () (tptp.hBOOL (tptp.hAPP @t1498 @t57))) % 6.62/6.85 (define @t1500 () (tptp.class_Rings_Olinordered__semidom @t8)) % 6.62/6.85 (define @t1501 () (@list @t109 @t60 @t57 @t8)) % 6.62/6.85 (define @t1502 () (tptp.hAPP @t1472 @t1344)) % 6.62/6.85 (define @t1503 () (tptp.hAPP @t1472 @t844)) % 6.62/6.85 (define @t1504 () (tptp.hAPP @t1503 @t1211)) % 6.62/6.85 (define @t1505 () (tptp.class_Rings_Oring__1 @t372)) % 6.62/6.85 (define @t1506 () (@list @t1211 @t403 @t372)) % 6.62/6.85 (define @t1507 () (@var "V_N" $$unsorted)) % 6.62/6.85 (define @t1508 () (tptp.hAPP @t1488 @t1507)) % 6.62/6.85 (define @t1509 () (tptp.hAPP @t373 @t1489)) % 6.62/6.85 (define @t1510 () (tptp.hAPP @t373 @t1322)) % 6.62/6.85 (define @t1511 () (tptp.hBOOL (tptp.hAPP @t1510 @t403))) % 6.62/6.85 (define @t1512 () (tptp.hBOOL (tptp.hAPP @t1236 @t1507))) % 6.62/6.85 (define @t1513 () (@list @t403 @t1507 @t1211 @t372)) % 6.62/6.85 (define @t1514 () (tptp.hAPP @t680 @t1489)) % 6.62/6.85 (define @t1515 () (tptp.hBOOL (tptp.hAPP @t1370 @t1507))) % 6.62/6.85 (define @t1516 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t60) @t109))) % 6.62/6.85 (define @t1517 () (tptp.hAPP @t673 @t1489)) % 6.62/6.85 (define @t1518 () (tptp.hAPP @t670 @t1489)) % 6.62/6.85 (define @t1519 () (tptp.hAPP @t1518 @t403)) % 6.62/6.85 (define @t1520 () (tptp.hAPP @t1472 @t407)) % 6.62/6.85 (define @t1521 () (tptp.hAPP @t1520 @t1211)) % 6.62/6.85 (define @t1522 () (@list @t1211 @t407 @t403 @t372)) % 6.62/6.85 (define @t1523 () (tptp.hAPP @t1472 @t1322)) % 6.62/6.85 (define @t1524 () (@list @t1211 @t372)) % 6.62/6.85 (define @t1525 () (tptp.hAPP @t1494 @t13)) % 6.62/6.85 (define @t1526 () (tptp.hAPP @t1525 @t1196)) % 6.62/6.85 (define @t1527 () (tptp.class_Power_Opower @t8)) % 6.62/6.85 (define @t1528 () (tptp.hAPP (tptp.hAPP @t1089 @t3) @t206)) % 6.62/6.85 (define @t1529 () (tptp.hAPP @t162 @t81)) % 6.62/6.85 (define @t1530 () (tptp.c_Set_Ovimage @t8 @t39 @t2)) % 6.62/6.85 (define @t1531 () (tptp.hAPP @t1530 @t1529)) % 6.62/6.85 (define @t1532 () (@list @t13 @t2 @t39 @t8)) % 6.62/6.85 (define @t1533 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t39)) % 6.62/6.85 (define @t1534 () (tptp.c_Finite__Set_Ofold @t8 @t39 (tptp.hAPP (tptp.hAPP @t627 @t1533) @t2))) % 6.62/6.85 (define @t1535 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t39)) % 6.62/6.85 (define @t1536 () (tptp.hAPP @t1535 @t45)) % 6.62/6.85 (define @t1537 () (tptp.hAPP @t1536 @t2)) % 6.62/6.85 (define @t1538 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t39)) % 6.62/6.85 (define @t1539 () (tptp.hAPP @t974 @t199)) % 6.62/6.85 (define @t1540 () (@var "V_T_2" $$unsorted)) % 6.62/6.85 (define @t1541 () (tptp.hAPP @t974 @t1540)) % 6.62/6.85 (define @t1542 () (= @t5 @t1349)) % 6.62/6.85 (define @t1543 () (tptp.hBOOL (tptp.hAPP @t129 (tptp.hAPP (tptp.hAPP @t237 @t1540) @t199)))) % 6.62/6.85 (define @t1544 () (forall @t7 (=> @t1543 @t1542))) % 6.62/6.85 (define @t1545 () (tptp.hAPP @t350 @t199)) % 6.62/6.85 (define @t1546 () (tptp.hBOOL (tptp.hAPP @t1545 @t1540))) % 6.62/6.85 (define @t1547 () (tptp.hBOOL (tptp.hAPP @t42 @t1540))) % 6.62/6.85 (define @t1548 () (@list @t2 @t199 @t1540 @t8 @t39)) % 6.62/6.85 (define @t1549 () (tptp.hAPP @t1422 (tptp.hAPP @t1420 @t74))) % 6.62/6.85 (define @t1550 () (tptp.hAPP @t1420 @t1039)) % 6.62/6.85 (define @t1551 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t52)) % 6.62/6.85 (define @t1552 () (tptp.hAPP @t1551 @t45)) % 6.62/6.85 (define @t1553 () (tptp.hAPP @t1552 @t74)) % 6.62/6.85 (define @t1554 () (= @t1553 @t53)) % 6.62/6.85 (define @t1555 () (@list @t1 @t74 @t45 @t8 @t39)) % 6.62/6.85 (define @t1556 () (tptp.hBOOL (tptp.hAPP @t1553 @t60))) % 6.62/6.85 (define @t1557 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t80)) % 6.62/6.85 (define @t1558 () (tptp.hAPP @t1557 @t45)) % 6.62/6.85 (define @t1559 () (tptp.hAPP @t1558 @t74)) % 6.62/6.85 (define @t1560 () (tptp.hBOOL (tptp.hAPP @t1559 @t57))) % 6.62/6.85 (define @t1561 () (tptp.hAPP @t74 @t13)) % 6.62/6.85 (define @t1562 () (tptp.hAPP @t1561 @t57)) % 6.62/6.85 (define @t1563 () (tptp.hBOOL @t1562)) % 6.62/6.85 (define @t1564 () (tptp.tc_fun @t39 @t438)) % 6.62/6.85 (define @t1565 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t1564)) % 6.62/6.85 (define @t1566 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1565 @t45) @t74) @t57) @t82))) % 6.62/6.85 (define @t1567 () (tptp.hBOOL (tptp.hAPP @t1562 @t82))) % 6.62/6.85 (define @t1568 () (tptp.hBOOL (tptp.hAPP @t99 @t1553))) % 6.62/6.85 (define @t1569 () (tptp.c_Set_Ovimage @t39 @t8 @t2)) % 6.62/6.85 (define @t1570 () (tptp.hAPP @t1569 @t74)) % 6.62/6.85 (define @t1571 () (tptp.hAPP @t61 @t13)) % 6.62/6.85 (define @t1572 () (= @t161 @t57)) % 6.62/6.85 (define @t1573 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t372)) % 6.62/6.85 (define @t1574 () (tptp.hAPP @t1573 @t371)) % 6.62/6.85 (define @t1575 () (= (tptp.hAPP @t1574 @t371) @t371)) % 6.62/6.85 (define @t1576 () (tptp.hAPP @t1551 @t74)) % 6.62/6.85 (define @t1577 () (tptp.hAPP @t1576 @t45)) % 6.62/6.85 (define @t1578 () (tptp.hAPP @t1552 @t447)) % 6.62/6.85 (define @t1579 () (tptp.hAPP @t1576 @t447)) % 6.62/6.85 (define @t1580 () (tptp.hAPP @t1552 @t1579)) % 6.62/6.85 (define @t1581 () (tptp.hAPP @t1530 @t74)) % 6.62/6.85 (define @t1582 () (tptp.hAPP @t1530 @t45)) % 6.62/6.85 (define @t1583 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t80)) % 6.62/6.85 (define @t1584 () (tptp.hAPP @t1583 @t45)) % 6.62/6.85 (define @t1585 () (tptp.hAPP @t1584 @t74)) % 6.62/6.85 (define @t1586 () (tptp.hAPP @t1573 @t403)) % 6.62/6.85 (define @t1587 () (tptp.class_Lattices_Osemilattice__inf @t372)) % 6.62/6.85 (define @t1588 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8)) % 6.62/6.85 (define @t1589 () (tptp.hAPP @t1573 @t407)) % 6.62/6.85 (define @t1590 () (tptp.hAPP @t1586 @t407)) % 6.62/6.85 (define @t1591 () (tptp.hAPP @t1573 @t381)) % 6.62/6.85 (define @t1592 () (tptp.hAPP @t1591 @t371)) % 6.62/6.85 (define @t1593 () (tptp.hAPP @t1574 @t381)) % 6.62/6.85 (define @t1594 () (= @t1593 @t1592)) % 6.62/6.85 (define @t1595 () (= (tptp.hAPP @t1574 @t1593) @t1593)) % 6.62/6.85 (define @t1596 () (tptp.hAPP @t1586 (tptp.hAPP @t1589 @t404))) % 6.62/6.85 (define @t1597 () (tptp.hAPP @t1574 @t392)) % 6.62/6.85 (define @t1598 () (tptp.hAPP @t1591 @t392)) % 6.62/6.85 (define @t1599 () (tptp.hAPP @t1574 @t1598)) % 6.62/6.85 (define @t1600 () (= @t1599 (tptp.hAPP @t1591 @t1597))) % 6.62/6.85 (define @t1601 () (= (tptp.hAPP (tptp.hAPP @t1573 @t1593) @t392) @t1599)) % 6.62/6.85 (define @t1602 () (tptp.hAPP @t1569 @t45)) % 6.62/6.85 (define @t1603 () (tptp.hAPP @t55 @t1602)) % 6.62/6.85 (define @t1604 () (tptp.hAPP @t74 @t3)) % 6.62/6.85 (define @t1605 () (forall @t7 (=> @t130 (tptp.hBOOL (tptp.hAPP @t41 @t1604))))) % 6.62/6.85 (define @t1606 () (tptp.hBOOL (tptp.hAPP @t41 @t1559))) % 6.62/6.85 (define @t1607 () (tptp.hAPP @t373 @t1593)) % 6.62/6.85 (define @t1608 () (tptp.hBOOL (tptp.hAPP @t1607 @t371))) % 6.62/6.85 (define @t1609 () (tptp.hBOOL (tptp.hAPP @t1607 @t381))) % 6.62/6.85 (define @t1610 () (tptp.hAPP @t1588 @t60)) % 6.62/6.85 (define @t1611 () (tptp.hAPP @t1610 @t109)) % 6.62/6.85 (define @t1612 () (tptp.class_Lattices_Osemilattice__inf @t8)) % 6.62/6.85 (define @t1613 () (tptp.hAPP @t373 @t1590)) % 6.62/6.85 (define @t1614 () (tptp.hBOOL (tptp.hAPP @t1613 @t371))) % 6.62/6.85 (define @t1615 () (tptp.hBOOL (tptp.hAPP @t374 @t1590))) % 6.62/6.85 (define @t1616 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t1590) @t371))) % 6.62/6.85 (define @t1617 () (tptp.hAPP (tptp.hAPP @t1069 @t1593) @t1597)) % 6.62/6.85 (define @t1618 () (tptp.hAPP @t1574 @t1101)) % 6.62/6.85 (define @t1619 () (tptp.class_Lattices_Odistrib__lattice @t372)) % 6.62/6.85 (define @t1620 () (tptp.hAPP (tptp.hAPP @t1573 @t1096) @t1100)) % 6.62/6.85 (define @t1621 () (tptp.hAPP @t1070 @t1598)) % 6.62/6.85 (define @t1622 () (not @t454)) % 6.62/6.85 (define @t1623 () (tptp.hAPP @t47 @t1553)) % 6.62/6.85 (define @t1624 () (@list @t74 @t45 @t13 @t8)) % 6.62/6.85 (define @t1625 () (tptp.hAPP @t350 @t1553)) % 6.62/6.85 (define @t1626 () (tptp.hBOOL (tptp.hAPP @t503 @t45))) % 6.62/6.85 (define @t1627 () (@list @t74 @t45 @t447 @t8)) % 6.62/6.85 (define @t1628 () (tptp.hAPP @t1551 @t447)) % 6.62/6.85 (define @t1629 () (tptp.hAPP @t1037 @t1553)) % 6.62/6.85 (define @t1630 () (tptp.hAPP @t1552 @t1077)) % 6.62/6.85 (define @t1631 () (tptp.hAPP @t1551 @t1039)) % 6.62/6.85 (define @t1632 () (tptp.hAPP @t1628 @t45)) % 6.62/6.85 (define @t1633 () (@list @t45 @t447 @t74 @t8)) % 6.62/6.85 (define @t1634 () (tptp.hAPP @t1126 @t45)) % 6.62/6.85 (define @t1635 () (tptp.hAPP @t237 @t1578)) % 6.62/6.85 (define @t1636 () (tptp.hAPP @t1635 @t1579)) % 6.62/6.85 (define @t1637 () (tptp.hAPP @t1551 @t254)) % 6.62/6.85 (define @t1638 () (tptp.hAPP @t1573 @t836)) % 6.62/6.85 (define @t1639 () (tptp.hAPP @t1552 @t139)) % 6.62/6.85 (define @t1640 () (=> @t128 (= @t1639 @t1553))) % 6.62/6.85 (define @t1641 () (=> @t67 (= @t1639 @t1623))) % 6.62/6.85 (define @t1642 () (tptp.hAPP (tptp.hAPP @t1551 @t139) @t447)) % 6.62/6.85 (define @t1643 () (tptp.hBOOL (tptp.hAPP @t66 @t447))) % 6.62/6.85 (define @t1644 () (=> (not @t1643) (= @t1642 @t1579))) % 6.62/6.85 (define @t1645 () (=> @t1643 (= @t1642 (tptp.hAPP @t47 @t1579)))) % 6.62/6.85 (define @t1646 () (@list @t74 @t447 @t13 @t8)) % 6.62/6.85 (define @t1647 () (tptp.hAPP @t1037 @t254)) % 6.62/6.85 (define @t1648 () (tptp.hAPP @t1557 @t1021)) % 6.62/6.85 (define @t1649 () (tptp.hAPP (tptp.c_COMBC @t39 @t80 tptp.tc_HOL_Obool) @t61)) % 6.62/6.85 (define @t1650 () (tptp.c_COMBB @t80 @t80 @t8)) % 6.62/6.85 (define @t1651 () (tptp.hAPP (tptp.hAPP @t1650 @t1649) @t725)) % 6.62/6.85 (define @t1652 () (@list @t60 @t725 @t39 @t8)) % 6.62/6.85 (define @t1653 () (tptp.hAPP @t1551 @t827)) % 6.62/6.85 (define @t1654 () (tptp.hAPP @t83 @t57)) % 6.62/6.85 (define @t1655 () (tptp.c_Finite__Set_Ofold @t8 @t8 @t1588)) % 6.62/6.85 (define @t1656 () (tptp.hAPP @t1655 @t57)) % 6.62/6.85 (define @t1657 () (tptp.hAPP @t1656 @t45)) % 6.62/6.85 (define @t1658 () (tptp.hAPP @t1588 @t13)) % 6.62/6.85 (define @t1659 () (tptp.hBOOL (tptp.hAPP @t41 @t37))) % 6.62/6.85 (define @t1660 () (tptp.hBOOL (tptp.hAPP @t42 (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t39 @t38) @t37)))) % 6.62/6.85 (define @t1661 () (@list @t37 @t38 @t39 @t8)) % 6.62/6.85 (define @t1662 () (= (tptp.hAPP @t92 @t1553) (tptp.hAPP (tptp.hAPP @t1583 @t93) @t484))) % 6.62/6.85 (define @t1663 () (tptp.hAPP @t1332 @t82)) % 6.62/6.85 (define @t1664 () (tptp.hAPP (tptp.c_Set_Ovimage @t39 @t8 @t1663) @t45)) % 6.62/6.85 (define @t1665 () (tptp.hAPP @t1658 @t57)) % 6.62/6.85 (define @t1666 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t1588) @t45)) % 6.62/6.85 (define @t1667 () (tptp.hAPP @t626 (tptp.hAPP @t570 @t74))) % 6.62/6.85 (define @t1668 () (tptp.hAPP @t570 @t1039)) % 6.62/6.85 (define @t1669 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t1581) @t45))) % 6.62/6.85 (define @t1670 () (tptp.hAPP @t956 (tptp.hAPP @t811 @t74))) % 6.62/6.85 (define @t1671 () (tptp.hAPP @t811 @t1039)) % 6.62/6.85 (define @t1672 () (tptp.hAPP @t1223 @t1014)) % 6.62/6.85 (define @t1673 () (tptp.hAPP @t1672 @t1146)) % 6.62/6.85 (define @t1674 () (tptp.hAPP @t1013 @t1553)) % 6.62/6.85 (define @t1675 () (tptp.hAPP @t1013 @t1039)) % 6.62/6.85 (define @t1676 () (tptp.hAPP (tptp.hAPP @t1223 @t1675) @t1674)) % 6.62/6.85 (define @t1677 () (tptp.hAPP @t1649 @t74)) % 6.62/6.85 (define @t1678 () (tptp.c_If @t8)) % 6.62/6.85 (define @t1679 () (tptp.tc_fun @t8 @t473)) % 6.62/6.85 (define @t1680 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1679 @t39) @t1678)) % 6.62/6.85 (define @t1681 () (tptp.hAPP (tptp.c_Set_Ovimage @t39 @t8 (tptp.hAPP (tptp.hAPP @t730 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t8 @t473) (tptp.hAPP @t1680 @t1677)) @t82)) @t149)) @t45)) % 6.62/6.85 (define @t1682 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t149) @t45))) % 6.62/6.85 (define @t1683 () (not @t1682)) % 6.62/6.85 (define @t1684 () (tptp.hAPP @t37 @t1553)) % 6.62/6.85 (define @t1685 () (not @t1554)) % 6.62/6.85 (define @t1686 () (= @t1668 @t1667)) % 6.62/6.85 (define @t1687 () (tptp.hAPP @t358 @t1553)) % 6.62/6.85 (define @t1688 () (= @t1671 @t1670)) % 6.62/6.85 (define @t1689 () (= @t1675 @t1673)) % 6.62/6.85 (define @t1690 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t80 @t80) @t83) @t81)) % 6.62/6.85 (define @t1691 () (tptp.c_COMBB @t80 @t52 @t39)) % 6.62/6.85 (define @t1692 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t39 @t52)) % 6.62/6.85 (define @t1693 () (tptp.hAPP @t1692 @t74)) % 6.62/6.85 (define @t1694 () (@list @t74 @t2 @t39 @t8)) % 6.62/6.85 (define @t1695 () (tptp.c_COMBC @t39 @t52 @t52)) % 6.62/6.85 (define @t1696 () (tptp.hAPP @t1692 @t45)) % 6.62/6.85 (define @t1697 () (tptp.hBOOL (tptp.hAPP @t141 @t1561))) % 6.62/6.85 (define @t1698 () (@list @t74 @t57 @t39 @t45 @t13 @t8)) % 6.62/6.85 (define @t1699 () (tptp.hAPP @t662 @t1229)) % 6.62/6.85 (define @t1700 () (tptp.hBOOL (tptp.hAPP @t1449 @t45))) % 6.62/6.85 (define @t1701 () (@list @t662 @t45 @t1229 @t8 @t39)) % 6.62/6.85 (define @t1702 () (tptp.hAPP @t84 @t662)) % 6.62/6.85 (define @t1703 () (@list @t662 @t8 @t45 @t39)) % 6.62/6.85 (define @t1704 () (tptp.hAPP @t1696 @t74)) % 6.62/6.85 (define @t1705 () (tptp.hAPP @t162 @t45)) % 6.62/6.85 (define @t1706 () (@list @t74 @t45 @t13 @t8 @t39)) % 6.62/6.85 (define @t1707 () (tptp.hAPP @t1557 @t447)) % 6.62/6.85 (define @t1708 () (tptp.hAPP @t1707 @t74)) % 6.62/6.85 (define @t1709 () (tptp.hAPP @t1130 @t1708)) % 6.62/6.85 (define @t1710 () (tptp.hAPP @t1707 (tptp.hAPP (tptp.hAPP @t1650 @t1130) @t74))) % 6.62/6.85 (define @t1711 () (= @t447 @t53)) % 6.62/6.85 (define @t1712 () (not @t1711)) % 6.62/6.85 (define @t1713 () (@list @t74 @t45 @t39 @t8 @t447)) % 6.62/6.85 (define @t1714 () (tptp.tc_fun @t39 @t52)) % 6.62/6.85 (define @t1715 () (tptp.c_COMBB @t80 (tptp.tc_fun @t1714 @t52) @t125)) % 6.62/6.85 (define @t1716 () (tptp.c_COMBC @t125 @t1714 @t52)) % 6.62/6.85 (define @t1717 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t125 @t52)) % 6.62/6.85 (define @t1718 () (tptp.hAPP @t1717 @t45)) % 6.62/6.85 (define @t1719 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t125 @t80) @t45) @t74)) % 6.62/6.85 (define @t1720 () (@list @t447 @t74 @t45 @t125 @t8 @t39)) % 6.62/6.85 (define @t1721 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t39 @t438)) % 6.62/6.85 (define @t1722 () (tptp.hAPP (tptp.hAPP @t1721 @t45) @t74)) % 6.62/6.85 (define @t1723 () (tptp.tc_fun @t125 @t52)) % 6.62/6.85 (define @t1724 () (tptp.c_COMBB @t438 (tptp.tc_fun @t1723 @t52) @t39)) % 6.62/6.85 (define @t1725 () (tptp.c_COMBC @t39 @t1723 @t52)) % 6.62/6.85 (define @t1726 () (@list @t447 @t74 @t125 @t45 @t8 @t39)) % 6.62/6.85 (define @t1727 () (tptp.hAPP @t1604 @t57)) % 6.62/6.85 (define @t1728 () (tptp.hBOOL @t1727)) % 6.62/6.85 (define @t1729 () (@list @t57 @t74 @t45 @t39 @t8)) % 6.62/6.85 (define @t1730 () (tptp.hBOOL (tptp.hAPP @t1727 @t82))) % 6.62/6.85 (define @t1731 () (@list @t82 @t57 @t74 @t45 @t125 @t39 @t8)) % 6.62/6.85 (define @t1732 () (tptp.hBOOL (tptp.hAPP @t59 @t1604))) % 6.62/6.85 (define @t1733 () (@list @t74 @t45 @t39 @t57 @t8)) % 6.62/6.85 (define @t1734 () (forall @t7 (=> @t144 (= @t1604 @t53)))) % 6.62/6.85 (define @t1735 () (@list @t74 @t45 @t8 @t39)) % 6.62/6.85 (define @t1736 () (tptp.c_COMBK @t80 @t8)) % 6.62/6.85 (define @t1737 () (tptp.hAPP @t1736 @t82)) % 6.62/6.85 (define @t1738 () (tptp.hAPP @t1558 @t1737)) % 6.62/6.85 (define @t1739 () (tptp.c_COMBK @t52 @t39)) % 6.62/6.85 (define @t1740 () (@list @t74 @t45 @t39 @t8)) % 6.62/6.85 (define @t1741 () (tptp.hAPP @t45 @t3)) % 6.62/6.85 (define @t1742 () (@var "V_I_2" $$unsorted)) % 6.62/6.85 (define @t1743 () (tptp.hBOOL (tptp.hAPP @t143 @t1742))) % 6.62/6.85 (define @t1744 () (tptp.hAPP @t1692 @t1742)) % 6.62/6.85 (define @t1745 () (tptp.hAPP @t1744 @t45)) % 6.62/6.85 (define @t1746 () (@list @t74 @t45 @t1742 @t39 @t8)) % 6.62/6.85 (define @t1747 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t39 @t52 @t125) @t74) @t2)) % 6.62/6.85 (define @t1748 () (tptp.hAPP (tptp.c_Set_Oimage @t125 @t39 @t2) @t45)) % 6.62/6.85 (define @t1749 () (@list @t74 @t45 @t2 @t125 @t8 @t39)) % 6.62/6.85 (define @t1750 () (tptp.c_COMBB @t80 @t52 @t125)) % 6.62/6.85 (define @t1751 () (tptp.hAPP (tptp.c_Set_Oimage @t39 @t125 @t2) @t45)) % 6.62/6.85 (define @t1752 () (tptp.hAPP @t1717 @t1751)) % 6.62/6.85 (define @t1753 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t125 @t52 @t39) @t74) @t2)) % 6.62/6.85 (define @t1754 () (@list @t2 @t74 @t125 @t45 @t8 @t39)) % 6.62/6.85 (define @t1755 () (tptp.c_COMBB @t52 @t294 @t39)) % 6.62/6.85 (define @t1756 () (tptp.hAPP (tptp.hAPP @t1755 @t1037) @t45)) % 6.62/6.85 (define @t1757 () (tptp.c_COMBS @t39 @t52 @t52)) % 6.62/6.85 (define @t1758 () (tptp.hAPP (tptp.hAPP @t1757 @t1756) @t74)) % 6.62/6.85 (define @t1759 () (@list @t74 @t45 @t1742 @t8 @t39)) % 6.62/6.85 (define @t1760 () (@list @t662 @t74 @t45 @t8 @t39)) % 6.62/6.85 (define @t1761 () (tptp.hAPP @t1692 @t447)) % 6.62/6.85 (define @t1762 () (tptp.hAPP @t1552 (tptp.hAPP @t1761 @t74))) % 6.62/6.85 (define @t1763 () (tptp.c_COMBB @t52 @t52 @t39)) % 6.62/6.85 (define @t1764 () (tptp.hAPP @t1761 (tptp.hAPP (tptp.hAPP @t1763 @t1552) @t74))) % 6.62/6.85 (define @t1765 () (@list @t74 @t45 @t447 @t8 @t39)) % 6.62/6.85 (define @t1766 () (tptp.hAPP @t1761 @t45)) % 6.62/6.85 (define @t1767 () (tptp.hAPP (tptp.hAPP @t1551 @t1766) @t74)) % 6.62/6.85 (define @t1768 () (tptp.hAPP (tptp.hAPP @t1755 @t1551) @t45)) % 6.62/6.85 (define @t1769 () (tptp.hAPP @t1761 (tptp.hAPP (tptp.hAPP @t1695 @t1768) @t74))) % 6.62/6.85 (define @t1770 () (@list @t74 @t447 @t39 @t45 @t8)) % 6.62/6.85 (define @t1771 () (@list @t45 @t1742 @t39 @t74 @t8)) % 6.62/6.85 (define @t1772 () (@list @t74 @t45 @t447 @t39 @t8)) % 6.62/6.85 (define @t1773 () (tptp.c_COMBB @t52 @t52 @t125)) % 6.62/6.85 (define @t1774 () (tptp.hAPP (tptp.c_COMBB @t294 (tptp.tc_fun @t1723 @t1723) @t39) @t1773)) % 6.62/6.85 (define @t1775 () (tptp.c_COMBC @t39 @t1723 @t1723)) % 6.62/6.85 (define @t1776 () (@var "V_J_2" $$unsorted)) % 6.62/6.85 (define @t1777 () (tptp.hAPP @t1717 @t1776)) % 6.62/6.85 (define @t1778 () (tptp.c_COMBB @t1723 @t52 @t39)) % 6.62/6.85 (define @t1779 () (@list @t74 @t1776 @t125 @t45 @t1742 @t39 @t8)) % 6.62/6.85 (define @t1780 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t39 @t8)) % 6.62/6.85 (define @t1781 () (tptp.hAPP @t1780 @t45)) % 6.62/6.85 (define @t1782 () (tptp.c_COMBB @t167 @t8 @t125)) % 6.62/6.85 (define @t1783 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t125 @t8) @t74)) % 6.62/6.85 (define @t1784 () (tptp.c_COMBB @t439 @t8 @t39)) % 6.62/6.85 (define @t1785 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t8)) % 6.62/6.85 (define @t1786 () (@list @t2 @t74 @t125 @t45 @t39 @t8)) % 6.62/6.85 (define @t1787 () (tptp.hAPP @t435 @t60)) % 6.62/6.85 (define @t1788 () (@list @t60 @t2 @t45 @t125 @t39 @t8)) % 6.62/6.85 (define @t1789 () (tptp.hAPP (tptp.hAPP @t237 @t1766) @t74)) % 6.62/6.85 (define @t1790 () (tptp.hAPP @t1761 (tptp.hAPP (tptp.hAPP @t1695 (tptp.hAPP (tptp.hAPP @t1755 @t237) @t45)) @t74))) % 6.62/6.85 (define @t1791 () (tptp.hAPP (tptp.hAPP @t1750 @t1530) @t74)) % 6.62/6.85 (define @t1792 () (@list @t74 @t45 @t125 @t2 @t39 @t8)) % 6.62/6.85 (define @t1793 () (tptp.hAPP (tptp.hAPP @t1650 @t162) @t74)) % 6.62/6.85 (define @t1794 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t1426) @t45))) % 6.62/6.85 (define @t1795 () (@list @t74 @t13 @t39 @t45 @t1426 @t8)) % 6.62/6.85 (define @t1796 () (@list @t74 @t39 @t45 @t13 @t8)) % 6.62/6.85 (define @t1797 () (tptp.hAPP (tptp.hAPP @t1557 @t1742) @t45)) % 6.62/6.85 (define @t1798 () (tptp.hAPP @t45 @t1199)) % 6.62/6.85 (define @t1799 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t1199) @t1742))) % 6.62/6.85 (define @t1800 () (@list @t45 @t39 @t1742 @t1199 @t8)) % 6.62/6.85 (define @t1801 () (tptp.hAPP @t1707 @t1793)) % 6.62/6.85 (define @t1802 () (tptp.hAPP @t162 @t1708)) % 6.62/6.85 (define @t1803 () (@list @t74 @t13 @t39 @t8 @t447)) % 6.62/6.85 (define @t1804 () (tptp.hAPP @t662 @t3)) % 6.62/6.85 (define @t1805 () (and @t1785 @t665)) % 6.62/6.85 (define @t1806 () (tptp.c_COMBB @t80 @t1157 @t8)) % 6.62/6.85 (define @t1807 () (tptp.hAPP (tptp.hAPP @t1806 @t1129) @t45)) % 6.62/6.85 (define @t1808 () (tptp.hAPP @t1707 (tptp.hAPP (tptp.hAPP @t1158 @t1807) @t74))) % 6.62/6.85 (define @t1809 () (tptp.hAPP (tptp.hAPP @t1129 (tptp.hAPP @t1707 @t45)) @t74)) % 6.62/6.85 (define @t1810 () (tptp.hAPP (tptp.hAPP @t1023 @t2) @t1349)) % 6.62/6.85 (define @t1811 () (tptp.hAPP @t1810 @t199)) % 6.62/6.85 (define @t1812 () (tptp.hAPP (tptp.hAPP @t1037 @t199) @t1540)) % 6.62/6.85 (define @t1813 () (tptp.hBOOL (tptp.hAPP @t129 (tptp.hAPP (tptp.hAPP @t1551 @t199) @t1540)))) % 6.62/6.85 (define @t1814 () (forall @t7 (=> @t1813 @t1542))) % 6.62/6.85 (define @t1815 () (@list @t2 @t1540 @t199 @t8 @t39)) % 6.62/6.85 (define @t1816 () (tptp.hBOOL (tptp.hAPP @t129 @t1553))) % 6.62/6.85 (define @t1817 () (tptp.hAPP @t1610 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t239))) % 6.62/6.85 (define @t1818 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t45)) % 6.62/6.85 (define @t1819 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t39)) % 6.62/6.85 (define @t1820 () (tptp.c_Finite__Set_Ofold @t8 @t39 (tptp.hAPP (tptp.hAPP @t627 @t1819) @t2))) % 6.62/6.85 (define @t1821 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t39)) % 6.62/6.85 (define @t1822 () (tptp.hAPP @t1821 @t45)) % 6.62/6.85 (define @t1823 () (tptp.hAPP @t1822 @t2)) % 6.62/6.85 (define @t1824 () (tptp.hAPP tptp.c_Nat_OSuc @t1017)) % 6.62/6.85 (define @t1825 () (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t45)) % 6.62/6.85 (define @t1826 () (tptp.hAPP @t58 @t45)) % 6.62/6.85 (define @t1827 () (tptp.hBOOL (tptp.hAPP @t1826 @t215))) % 6.62/6.85 (define @t1828 () (tptp.c_member @t52)) % 6.62/6.85 (define @t1829 () (tptp.hAPP @t1828 @t215)) % 6.62/6.85 (define @t1830 () (tptp.hBOOL (tptp.hAPP @t1829 @t447))) % 6.62/6.85 (define @t1831 () (tptp.hBOOL (tptp.hAPP @t1826 (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t447)))) % 6.62/6.85 (define @t1832 () (tptp.hBOOL (tptp.hAPP @t42 @t3))) % 6.62/6.85 (define @t1833 () (tptp.hAPP @t1828 @t3)) % 6.62/6.85 (define @t1834 () (@list @t662 @t8)) % 6.62/6.85 (define @t1835 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t80)) % 6.62/6.85 (define @t1836 () (tptp.hAPP @t1835 @t45)) % 6.62/6.85 (define @t1837 () (tptp.hAPP @t1836 @t74)) % 6.62/6.85 (define @t1838 () (tptp.hBOOL (tptp.hAPP @t1837 @t57))) % 6.62/6.85 (define @t1839 () (@list @t13 @t57 @t74 @t45 @t39 @t8)) % 6.62/6.85 (define @t1840 () (tptp.hBOOL (tptp.hAPP @t59 @t1561))) % 6.62/6.85 (define @t1841 () (tptp.hBOOL (tptp.hAPP @t1571 @t45))) % 6.62/6.85 (define @t1842 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t39 @t52)) % 6.62/6.85 (define @t1843 () (tptp.hAPP @t1842 @t45)) % 6.62/6.85 (define @t1844 () (tptp.hAPP @t1843 @t74)) % 6.62/6.85 (define @t1845 () (tptp.hBOOL (tptp.hAPP @t59 @t1844))) % 6.62/6.85 (define @t1846 () (@list @t13 @t74 @t45 @t39 @t57 @t8)) % 6.62/6.85 (define @t1847 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t1564)) % 6.62/6.85 (define @t1848 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1847 @t45) @t74) @t57) @t82))) % 6.62/6.85 (define @t1849 () (@list @t13 @t82 @t57 @t74 @t45 @t125 @t39 @t8)) % 6.62/6.85 (define @t1850 () (tptp.hAPP (tptp.hAPP @t1835 @t1742) @t45)) % 6.62/6.85 (define @t1851 () (tptp.hBOOL (tptp.hAPP @t41 @t1741))) % 6.62/6.85 (define @t1852 () (tptp.hBOOL (tptp.hAPP @t129 @t1742))) % 6.62/6.85 (define @t1853 () (tptp.hAPP tptp.c_Nat_OSuc @t1211)) % 6.62/6.85 (define @t1854 () (tptp.hAPP tptp.c_Nat_OSuc @t793)) % 6.62/6.85 (define @t1855 () (tptp.hAPP @t1016 @t1854)) % 6.62/6.85 (define @t1856 () (tptp.hBOOL (tptp.hAPP @t1855 @t1853))) % 6.62/6.85 (define @t1857 () (tptp.c_Set_Oimage @t39 @t52 @t74)) % 6.62/6.85 (define @t1858 () (tptp.hAPP @t1857 @t447)) % 6.62/6.85 (define @t1859 () (tptp.hAPP (tptp.c_Set_Oimage @t39 @t52 @t45) @t447)) % 6.62/6.85 (define @t1860 () (tptp.hAPP (tptp.hAPP @t1757 @t1768) @t74)) % 6.62/6.85 (define @t1861 () (tptp.hAPP @t1842 @t447)) % 6.62/6.85 (define @t1862 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t39 @t8)) % 6.62/6.85 (define @t1863 () (tptp.hAPP @t1862 @t45)) % 6.62/6.85 (define @t1864 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t52 @t52)) % 6.62/6.85 (define @t1865 () (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t74)) % 6.62/6.85 (define @t1866 () (@var "V_nat_H_2" $$unsorted)) % 6.62/6.85 (define @t1867 () (@var "V_nat_2" $$unsorted)) % 6.62/6.85 (define @t1868 () (tptp.hAPP tptp.c_Nat_OSuc @t1867)) % 6.62/6.85 (define @t1869 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t125 @t8) @t74)) % 6.62/6.85 (define @t1870 () (tptp.hBOOL (tptp.hAPP @t1855 @t1211))) % 6.62/6.85 (define @t1871 () (tptp.hBOOL (tptp.hAPP @t1213 @t1853))) % 6.62/6.85 (define @t1872 () (tptp.hAPP tptp.c_Nat_OSuc @t1261)) % 6.62/6.85 (define @t1873 () (= @t1196 @t307)) % 6.62/6.85 (define @t1874 () (tptp.hAPP tptp.c_Nat_OSuc @t307)) % 6.62/6.85 (define @t1875 () (tptp.hBOOL (tptp.hAPP @t1371 @t1874))) % 6.62/6.85 (define @t1876 () (= @t1875 @t1873)) % 6.62/6.85 (define @t1877 () (not @t1372)) % 6.62/6.85 (define @t1878 () (@list @t307 @t1196)) % 6.62/6.85 (define @t1879 () (tptp.hAPP tptp.c_Nat_OSuc @t1196)) % 6.62/6.85 (define @t1880 () (tptp.hBOOL (tptp.hAPP @t1197 @t1879))) % 6.62/6.85 (define @t1881 () (tptp.hAPP tptp.c_Nat_OSuc @t1239)) % 6.62/6.85 (define @t1882 () (tptp.hAPP @t1238 @t1853)) % 6.62/6.85 (define @t1883 () (tptp.hAPP (tptp.hAPP @t1223 @t1854) @t1211)) % 6.62/6.85 (define @t1884 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1854) @t1211))) % 6.62/6.85 (define @t1885 () (tptp.hBOOL (tptp.hAPP @t1253 @t1853))) % 6.62/6.85 (define @t1886 () (tptp.hAPP @t1144 @t1196)) % 6.62/6.85 (define @t1887 () (tptp.hBOOL (tptp.hAPP @t1886 @t307))) % 6.62/6.85 (define @t1888 () (tptp.hAPP @t1144 @t1879)) % 6.62/6.85 (define @t1889 () (tptp.hBOOL (tptp.hAPP @t1249 @t1879))) % 6.62/6.85 (define @t1890 () (tptp.hBOOL (tptp.hAPP @t1888 @t307))) % 6.62/6.85 (define @t1891 () (not @t1250)) % 6.62/6.85 (define @t1892 () (tptp.hAPP @t467 @t1854)) % 6.62/6.85 (define @t1893 () (tptp.hAPP @t1892 @t1211)) % 6.62/6.85 (define @t1894 () (tptp.hAPP tptp.c_Nat_OSuc @t1199)) % 6.62/6.85 (define @t1895 () (tptp.hAPP @t1302 @t1894)) % 6.62/6.85 (define @t1896 () (tptp.hAPP @t1895 @t1196)) % 6.62/6.85 (define @t1897 () (tptp.hAPP @t1895 @t307)) % 6.62/6.85 (define @t1898 () (tptp.tc_fun @t52 tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t1899 () (tptp.c_Orderings_Otop__class_Otop @t1898)) % 6.62/6.85 (define @t1900 () (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t45)) % 6.62/6.85 (define @t1901 () (tptp.hAPP @t350 @t1900)) % 6.62/6.85 (define @t1902 () (tptp.c_Orderings_Oord__class_Oless__eq @t1898)) % 6.62/6.85 (define @t1903 () (tptp.hBOOL (tptp.hAPP @t1901 @t74))) % 6.62/6.85 (define @t1904 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t74) @t45))) % 6.62/6.85 (define @t1905 () (tptp.c_Orderings_Obot__class_Obot @t1898)) % 6.62/6.85 (define @t1906 () (tptp.c_Set_Oinsert @t52)) % 6.62/6.85 (define @t1907 () (tptp.hAPP (tptp.hAPP @t1906 @t45) (tptp.hAPP (tptp.hAPP @t1906 @t74) @t1905))) % 6.62/6.85 (define @t1908 () (tptp.hAPP (tptp.hAPP @t1906 @t13) @t74)) % 6.62/6.85 (define @t1909 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1898)) % 6.62/6.85 (define @t1910 () (tptp.hAPP (tptp.hAPP @t1909 @t45) @t74)) % 6.62/6.85 (define @t1911 () (tptp.hAPP @t1861 @t74)) % 6.62/6.85 (define @t1912 () (tptp.hAPP @t47 @t1911)) % 6.62/6.85 (define @t1913 () (tptp.hAPP @t1861 (tptp.hAPP (tptp.hAPP @t1763 @t47) @t74))) % 6.62/6.85 (define @t1914 () (tptp.hAPP @t1842 @t1742)) % 6.62/6.85 (define @t1915 () (tptp.hAPP @t1914 @t45)) % 6.62/6.85 (define @t1916 () (forall @t7 (=> @t144 (= @t1604 @t1021)))) % 6.62/6.85 (define @t1917 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t125 @t52)) % 6.62/6.85 (define @t1918 () (tptp.hAPP @t1917 @t45)) % 6.62/6.85 (define @t1919 () (tptp.hAPP @t1917 @t1776)) % 6.62/6.85 (define @t1920 () (tptp.hAPP @t1861 (tptp.hAPP (tptp.hAPP @t1695 @t1756) @t74))) % 6.62/6.85 (define @t1921 () (tptp.hAPP (tptp.hAPP @t1037 (tptp.hAPP @t1861 @t45)) @t74)) % 6.62/6.85 (define @t1922 () (tptp.hAPP @t1861 (tptp.hAPP (tptp.hAPP @t1763 @t1038) @t74))) % 6.62/6.85 (define @t1923 () (tptp.hAPP @t1038 @t1911)) % 6.62/6.85 (define @t1924 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t125 @t80) @t45)) % 6.62/6.85 (define @t1925 () (tptp.hAPP @t1924 @t74)) % 6.62/6.85 (define @t1926 () (tptp.hBOOL (tptp.hAPP @t129 @t199))) % 6.62/6.85 (define @t1927 () (@var "V_times_2" $$unsorted)) % 6.62/6.85 (define @t1928 () (@var "V_one_2" $$unsorted)) % 6.62/6.85 (define @t1929 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t8 @t1928 @t1927) @t13)) % 6.62/6.85 (define @t1930 () (tptp.hAPP @t676 @t1475)) % 6.62/6.85 (define @t1931 () (tptp.hAPP @t1474 (tptp.hAPP tptp.c_Nat_OSuc @t1471))) % 6.62/6.85 (define @t1932 () (@list @t1471 @t371 @t372)) % 6.62/6.85 (define @t1933 () (tptp.hAPP @t1488 @t1853)) % 6.62/6.85 (define @t1934 () (tptp.class_Power_Opower @t372)) % 6.62/6.85 (define @t1935 () (tptp.hAPP @t1267 @t793)) % 6.62/6.85 (define @t1936 () (@list @t793 @t1261)) % 6.62/6.85 (define @t1937 () (tptp.hAPP @t424 @t1426)) % 6.62/6.85 (define @t1938 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1874) @t1196))) % 6.62/6.85 (define @t1939 () (tptp.hAPP @t1016 @t1222)) % 6.62/6.85 (define @t1940 () (tptp.hAPP @t1835 @t1021)) % 6.62/6.85 (define @t1941 () (tptp.hAPP @t1836 @t1737)) % 6.62/6.85 (define @t1942 () (tptp.hAPP (tptp.hAPP @t1806 @t1583) @t45)) % 6.62/6.85 (define @t1943 () (tptp.hAPP @t1835 @t447)) % 6.62/6.85 (define @t1944 () (tptp.hAPP @t1943 (tptp.hAPP (tptp.hAPP @t1158 @t1942) @t74))) % 6.62/6.85 (define @t1945 () (tptp.hAPP @t1943 @t45)) % 6.62/6.85 (define @t1946 () (tptp.hAPP (tptp.hAPP @t1583 @t1945) @t74)) % 6.62/6.85 (define @t1947 () (tptp.hAPP @t1943 (tptp.hAPP (tptp.hAPP @t1650 @t1584) @t74))) % 6.62/6.85 (define @t1948 () (tptp.hAPP @t1584 (tptp.hAPP @t1943 @t74))) % 6.62/6.85 (define @t1949 () (tptp.hAPP @t238 @t1911)) % 6.62/6.85 (define @t1950 () (tptp.hAPP @t1761 (tptp.hAPP (tptp.hAPP @t1763 @t238) @t74))) % 6.62/6.85 (define @t1951 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1898)) % 6.62/6.85 (define @t1952 () (tptp.hAPP (tptp.hAPP @t1951 @t45) @t74)) % 6.62/6.85 (define @t1953 () (tptp.hAPP (tptp.hAPP @t1763 @t826) @t74)) % 6.62/6.85 (define @t1954 () (@list @t1196)) % 6.62/6.85 (define @t1955 () (tptp.hAPP (tptp.hAPP @t1806 @t262) @t45)) % 6.62/6.85 (define @t1956 () (tptp.hAPP @t1943 (tptp.hAPP (tptp.hAPP @t1158 @t1955) @t74))) % 6.62/6.85 (define @t1957 () (tptp.hAPP (tptp.hAPP @t262 @t1945) @t74)) % 6.62/6.85 (define @t1958 () (tptp.hAPP @t1943 (tptp.hAPP (tptp.hAPP @t1650 @t263) @t74))) % 6.62/6.85 (define @t1959 () (tptp.hAPP @t263 @t1708)) % 6.62/6.85 (define @t1960 () (tptp.hAPP tptp.c_Nat_OSuc @t1217)) % 6.62/6.85 (define @t1961 () (tptp.hAPP tptp.c_Nat_OSuc @t1406)) % 6.62/6.85 (define @t1962 () (@list @t793 @t1217 @t1216)) % 6.62/6.85 (define @t1963 () (tptp.hAPP @t1610 @t1818)) % 6.62/6.85 (define @t1964 () (=> @t136 (= @t1143 (tptp.hAPP tptp.c_Nat_OSuc @t1014)))) % 6.62/6.85 (define @t1965 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t123)) % 6.62/6.85 (define @t1966 () (=> @t90 (= @t1965 @t1963))) % 6.62/6.85 (define @t1967 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t74)) % 6.62/6.85 (define @t1968 () (tptp.hAPP (tptp.hAPP @t1588 @t1818) @t1967)) % 6.62/6.85 (define @t1969 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t1039)) % 6.62/6.85 (define @t1970 () (= @t1969 @t1968)) % 6.62/6.85 (define @t1971 () (tptp.hAPP @t1221 @t1193)) % 6.62/6.85 (define @t1972 () (tptp.hAPP @t1423 @t1211)) % 6.62/6.85 (define @t1973 () (tptp.hAPP @t1224 @t1193)) % 6.62/6.85 (define @t1974 () (tptp.hAPP (tptp.hAPP @t1588 @t3) @t206)) % 6.62/6.85 (define @t1975 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t1976 () (tptp.hAPP tptp.c_Nat_OSuc @t1975)) % 6.62/6.85 (define @t1977 () (tptp.hAPP @t1144 @t1975)) % 6.62/6.85 (define @t1978 () (tptp.hAPP @t1016 @t1975)) % 6.62/6.85 (define @t1979 () (tptp.c_COMBI @t52)) % 6.62/6.85 (define @t1980 () (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t199)) % 6.62/6.85 (define @t1981 () (tptp.hAPP @t1857 @t45)) % 6.62/6.85 (define @t1982 () (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t1981)) % 6.62/6.85 (define @t1983 () (@list @t45 @t74 @t39 @t8)) % 6.62/6.85 (define @t1984 () (forall @t7 (=> @t130 @t1730))) % 6.62/6.85 (define @t1985 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 6.62/6.85 (define @t1986 () (= @t60 @t1985)) % 6.62/6.85 (define @t1987 () (= @t1196 @t1975)) % 6.62/6.85 (define @t1988 () (not @t1987)) % 6.62/6.85 (define @t1989 () (= @t13 @t1985)) % 6.62/6.85 (define @t1990 () (@list @t1196 @t13 @t8)) % 6.62/6.85 (define @t1991 () (tptp.c_Groups_Ozero__class_Ozero @t372)) % 6.62/6.85 (define @t1992 () (tptp.hAPP @t1472 @t1991)) % 6.62/6.85 (define @t1993 () (tptp.hAPP @t1992 @t1211)) % 6.62/6.85 (define @t1994 () (= @t1211 @t1975)) % 6.62/6.85 (define @t1995 () (not @t1994)) % 6.62/6.85 (define @t1996 () (and @t1934 (tptp.class_Rings_Osemiring__0 @t372))) % 6.62/6.85 (define @t1997 () (tptp.hAPP @t577 @t1991)) % 6.62/6.85 (define @t1998 () (= (tptp.hAPP @t1997 @t403) @t403)) % 6.62/6.85 (define @t1999 () (tptp.class_Groups_Omonoid__add @t372)) % 6.62/6.85 (define @t2000 () (tptp.class_Groups_Ocomm__monoid__add @t372)) % 6.62/6.85 (define @t2001 () (tptp.hAPP @t593 @t13)) % 6.62/6.85 (define @t2002 () (= (tptp.hAPP @t583 @t1991) @t403)) % 6.62/6.85 (define @t2003 () (= (tptp.hAPP (tptp.hAPP @t670 @t1991) @t403) @t1991)) % 6.62/6.85 (define @t2004 () (tptp.class_Rings_Omult__zero @t372)) % 6.62/6.85 (define @t2005 () (= (tptp.hAPP @t673 @t1991) @t1991)) % 6.62/6.85 (define @t2006 () (= @t57 @t1985)) % 6.62/6.85 (define @t2007 () (tptp.hAPP @t743 @t57)) % 6.62/6.85 (define @t2008 () (= @t674 @t1991)) % 6.62/6.85 (define @t2009 () (= @t407 @t1991)) % 6.62/6.85 (define @t2010 () (not @t2009)) % 6.62/6.85 (define @t2011 () (= @t403 @t1991)) % 6.62/6.85 (define @t2012 () (not @t2011)) % 6.62/6.85 (define @t2013 () (tptp.class_Rings_Ono__zero__divisors @t372)) % 6.62/6.85 (define @t2014 () (= @t566 @t1985)) % 6.62/6.85 (define @t2015 () (tptp.class_Rings_Ozero__neq__one @t372)) % 6.62/6.85 (define @t2016 () (@var "V_nat_H_1" $$unsorted)) % 6.62/6.85 (define @t2017 () (@var "V_nat_H" $$unsorted)) % 6.62/6.85 (define @t2018 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2019 () (= @t307 @t1975)) % 6.62/6.85 (define @t2020 () (tptp.hAPP @t2018 @t60)) % 6.62/6.85 (define @t2021 () (@list @t1196 @t60)) % 6.62/6.85 (define @t2022 () (tptp.hAPP @t2018 @t1261)) % 6.62/6.85 (define @t2023 () (tptp.hAPP @t2022 @t1211)) % 6.62/6.85 (define @t2024 () (tptp.hAPP @t2022 @t793)) % 6.62/6.85 (define @t2025 () (@list @t1211 @t793 @t1261)) % 6.62/6.85 (define @t2026 () (tptp.hBOOL (tptp.hAPP @t1978 @t1196))) % 6.62/6.85 (define @t2027 () (tptp.hBOOL (tptp.hAPP @t1978 @t1211))) % 6.62/6.85 (define @t2028 () (tptp.hAPP @t1246 @t1196)) % 6.62/6.85 (define @t2029 () (= @t1222 @t1975)) % 6.62/6.85 (define @t2030 () (= @t1199 @t1975)) % 6.62/6.85 (define @t2031 () (tptp.hAPP @t1302 @t1199)) % 6.62/6.85 (define @t2032 () (tptp.hAPP @t2031 @t1196)) % 6.62/6.85 (define @t2033 () (tptp.hAPP @t2031 @t307)) % 6.62/6.85 (define @t2034 () (= @t2033 @t2032)) % 6.62/6.85 (define @t2035 () (or @t1288 @t2030)) % 6.62/6.85 (define @t2036 () (tptp.hAPP @t1302 @t1196)) % 6.62/6.85 (define @t2037 () (tptp.hAPP @t2036 @t1199)) % 6.62/6.85 (define @t2038 () (tptp.hAPP @t1303 @t1199)) % 6.62/6.85 (define @t2039 () (= @t109 @t1985)) % 6.62/6.85 (define @t2040 () (and @t1986 @t2039)) % 6.62/6.85 (define @t2041 () (tptp.hAPP (tptp.hAPP @t587 @t1346) (tptp.hAPP (tptp.hAPP @t642 @t109) @t109))) % 6.62/6.85 (define @t2042 () (tptp.class_Rings_Olinordered__ring__strict @t8)) % 6.62/6.85 (define @t2043 () (tptp.hAPP @t1397 @t1211)) % 6.62/6.85 (define @t2044 () (tptp.hAPP @t373 @t1991)) % 6.62/6.85 (define @t2045 () (tptp.hBOOL (tptp.hAPP @t2044 @t407))) % 6.62/6.85 (define @t2046 () (tptp.hBOOL (tptp.hAPP @t2044 @t403))) % 6.62/6.85 (define @t2047 () (@list @t407 @t1211 @t403 @t372)) % 6.62/6.85 (define @t2048 () (tptp.hAPP @t1332 @t1985)) % 6.62/6.85 (define @t2049 () (tptp.hBOOL (tptp.hAPP @t1514 @t1521))) % 6.62/6.85 (define @t2050 () (tptp.hAPP @t670 @t381)) % 6.62/6.85 (define @t2051 () (tptp.hAPP (tptp.hAPP @t577 @t677) (tptp.hAPP @t2050 @t381))) % 6.62/6.85 (define @t2052 () (tptp.class_Rings_Olinordered__ring @t372)) % 6.62/6.85 (define @t2053 () (not @t2039)) % 6.62/6.85 (define @t2054 () (or (not @t1986) @t2053)) % 6.62/6.85 (define @t2055 () (tptp.hAPP @t702 @t1985)) % 6.62/6.85 (define @t2056 () (tptp.hBOOL (tptp.hAPP @t409 @t1991))) % 6.62/6.85 (define @t2057 () (tptp.hBOOL (tptp.hAPP @t412 @t1991))) % 6.62/6.85 (define @t2058 () (tptp.class_Groups_Oordered__comm__monoid__add @t372)) % 6.62/6.85 (define @t2059 () (tptp.hBOOL (tptp.hAPP @t409 @t584))) % 6.62/6.85 (define @t2060 () (tptp.hBOOL (tptp.hAPP @t2044 @t404))) % 6.62/6.85 (define @t2061 () (@list @t403 @t407 @t404 @t372)) % 6.62/6.85 (define @t2062 () (tptp.hAPP @t587 @t60)) % 6.62/6.85 (define @t2063 () (tptp.hAPP @t2062 @t109)) % 6.62/6.85 (define @t2064 () (tptp.hAPP @t424 @t1985)) % 6.62/6.85 (define @t2065 () (tptp.hBOOL (tptp.hAPP @t564 @t1985))) % 6.62/6.85 (define @t2066 () (tptp.hBOOL (tptp.hAPP @t2064 @t13))) % 6.62/6.85 (define @t2067 () (tptp.hBOOL (tptp.hAPP @t894 @t1985))) % 6.62/6.85 (define @t2068 () (tptp.hBOOL (tptp.hAPP @t2064 @t57))) % 6.62/6.85 (define @t2069 () (or (and @t2066 @t2068) (and @t2065 @t2067))) % 6.62/6.85 (define @t2070 () (or (and @t2066 @t2067) (and @t2065 @t2068))) % 6.62/6.85 (define @t2071 () (tptp.hBOOL (tptp.hAPP @t2044 @t674))) % 6.62/6.85 (define @t2072 () (tptp.class_Rings_Oordered__cancel__semiring @t372)) % 6.62/6.85 (define @t2073 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t674) @t1991))) % 6.62/6.85 (define @t2074 () (tptp.class_Rings_Oordered__ring @t372)) % 6.62/6.85 (define @t2075 () (tptp.hAPP @t373 @t761)) % 6.62/6.85 (define @t2076 () (tptp.hBOOL (tptp.hAPP @t2075 @t672))) % 6.62/6.85 (define @t2077 () (tptp.class_Rings_Oordered__semiring @t372)) % 6.62/6.85 (define @t2078 () (tptp.hAPP @t670 @t404)) % 6.62/6.85 (define @t2079 () (tptp.hAPP @t2078 @t407)) % 6.62/6.85 (define @t2080 () (tptp.hAPP @t2078 @t403)) % 6.62/6.85 (define @t2081 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t2080) @t2079))) % 6.62/6.85 (define @t2082 () (=> @t414 (=> @t2060 @t2081))) % 6.62/6.85 (define @t2083 () (tptp.hBOOL (tptp.hAPP @t405 @t1991))) % 6.62/6.85 (define @t2084 () (tptp.hAPP @t671 @t608)) % 6.62/6.85 (define @t2085 () (=> @t2060 (tptp.hBOOL (tptp.hAPP @t2075 @t2084)))) % 6.62/6.85 (define @t2086 () (tptp.hBOOL (tptp.hAPP @t2055 @t13))) % 6.62/6.85 (define @t2087 () (tptp.hBOOL (tptp.hAPP @t713 @t1985))) % 6.62/6.85 (define @t2088 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t2001) @t1985)) @t2087)) % 6.62/6.85 (define @t2089 () (tptp.hAPP @t680 @t1991)) % 6.62/6.85 (define @t2090 () (tptp.hBOOL (tptp.hAPP @t2089 @t585))) % 6.62/6.85 (define @t2091 () (tptp.hBOOL (tptp.hAPP @t2089 @t407))) % 6.62/6.85 (define @t2092 () (=> @t2091 @t2090)) % 6.62/6.85 (define @t2093 () (tptp.hBOOL (tptp.hAPP @t2089 @t403))) % 6.62/6.85 (define @t2094 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t585) @t1991))) % 6.62/6.85 (define @t2095 () (tptp.hBOOL (tptp.hAPP @t694 @t1991))) % 6.62/6.85 (define @t2096 () (=> @t2095 @t2094)) % 6.62/6.85 (define @t2097 () (tptp.hBOOL (tptp.hAPP @t696 @t1991))) % 6.62/6.85 (define @t2098 () (tptp.hBOOL (tptp.hAPP @t694 @t584))) % 6.62/6.85 (define @t2099 () (=> @t699 @t2098)) % 6.62/6.85 (define @t2100 () (tptp.hBOOL (tptp.hAPP @t919 @t13))) % 6.62/6.85 (define @t2101 () (tptp.hBOOL (tptp.hAPP @t722 @t1985))) % 6.62/6.85 (define @t2102 () (tptp.hBOOL (tptp.hAPP @t2055 @t82))) % 6.62/6.85 (define @t2103 () (or (and @t2102 @t714) (and @t2101 @t2100))) % 6.62/6.85 (define @t2104 () (tptp.hAPP @t702 @t759)) % 6.62/6.85 (define @t2105 () (tptp.hAPP @t642 @t82)) % 6.62/6.85 (define @t2106 () (tptp.hAPP @t2105 @t57)) % 6.62/6.85 (define @t2107 () (tptp.hAPP @t2105 @t13)) % 6.62/6.85 (define @t2108 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t2107) @t2106))) % 6.62/6.85 (define @t2109 () (tptp.hBOOL (tptp.hAPP @t2089 @t674))) % 6.62/6.85 (define @t2110 () (tptp.class_Rings_Olinordered__semiring__strict @t372)) % 6.62/6.85 (define @t2111 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t674) @t1991))) % 6.62/6.85 (define @t2112 () (=> @t2093 @t2091)) % 6.62/6.85 (define @t2113 () (tptp.class_Rings_Olinordered__ring__strict @t372)) % 6.62/6.85 (define @t2114 () (tptp.hAPP @t680 @t761)) % 6.62/6.85 (define @t2115 () (tptp.hBOOL (tptp.hAPP @t2114 @t672))) % 6.62/6.85 (define @t2116 () (tptp.hBOOL (tptp.hAPP @t2089 @t404))) % 6.62/6.85 (define @t2117 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t2080) @t2079))) % 6.62/6.85 (define @t2118 () (=> @t698 (=> @t2116 @t2117))) % 6.62/6.85 (define @t2119 () (tptp.hBOOL (tptp.hAPP @t692 @t1991))) % 6.62/6.85 (define @t2120 () (@var "V_r" $$unsorted)) % 6.62/6.85 (define @t2121 () (tptp.hAPP @t670 @t2120)) % 6.62/6.85 (define @t2122 () (tptp.class_Rings_Olinordered__idom @t8)) % 6.62/6.85 (define @t2123 () (= (tptp.hAPP @t925 @t403) @t1991)) % 6.62/6.85 (define @t2124 () (tptp.c_Groups_Ozero__class_Ozero @t39)) % 6.62/6.85 (define @t2125 () (=> @t1350 (= @t574 @t2124))) % 6.62/6.85 (define @t2126 () (= @t5 @t2124)) % 6.62/6.85 (define @t2127 () (exists @t7 (and @t130 @t2126))) % 6.62/6.85 (define @t2128 () (= @t975 @t2124)) % 6.62/6.85 (define @t2129 () (tptp.class_Rings_Ocomm__semiring__1 @t39)) % 6.62/6.85 (define @t2130 () (= @t1196 (tptp.hAPP tptp.c_Nat_OSuc @t1280))) % 6.62/6.85 (define @t2131 () (@var "B_j" $$unsorted)) % 6.62/6.85 (define @t2132 () (tptp.hAPP @t1016 @t2131)) % 6.62/6.85 (define @t2133 () (@list @t2131)) % 6.62/6.85 (define @t2134 () (= @t1196 @t1976)) % 6.62/6.85 (define @t2135 () (= @t307 @t1976)) % 6.62/6.85 (define @t2136 () (or (and @t2135 @t1987) (and @t2019 @t2134))) % 6.62/6.85 (define @t2137 () (tptp.hBOOL (tptp.hAPP @t1978 @t307))) % 6.62/6.85 (define @t2138 () (tptp.hAPP @t1144 @t1976)) % 6.62/6.85 (define @t2139 () (= @t1014 @t1975)) % 6.62/6.85 (define @t2140 () (=> @t1350 @t2139)) % 6.62/6.85 (define @t2141 () (tptp.hAPP @t1200 @t307)) % 6.62/6.85 (define @t2142 () (tptp.hBOOL (tptp.hAPP @t1978 @t793))) % 6.62/6.85 (define @t2143 () (tptp.hBOOL (tptp.hAPP @t1978 @t1199))) % 6.62/6.85 (define @t2144 () (and @t2143 @t1198)) % 6.62/6.85 (define @t2145 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t2033) @t2032))) % 6.62/6.85 (define @t2146 () (tptp.hBOOL (tptp.hAPP @t1978 @t1216))) % 6.62/6.85 (define @t2147 () (tptp.hAPP @t2018 @t1477)) % 6.62/6.85 (define @t2148 () (tptp.hAPP @t2147 @t793)) % 6.62/6.85 (define @t2149 () (= @t793 @t1975)) % 6.62/6.85 (define @t2150 () (not @t2149)) % 6.62/6.85 (define @t2151 () (tptp.hAPP @t1202 @t1196)) % 6.62/6.85 (define @t2152 () (tptp.hAPP @t1395 @t1193)) % 6.62/6.85 (define @t2153 () (tptp.hAPP tptp.c_Nat_OSuc @t2152)) % 6.62/6.85 (define @t2154 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t2107) @t2106))) % 6.62/6.85 (define @t2155 () (tptp.hBOOL (tptp.hAPP @t894 @t13))) % 6.62/6.85 (define @t2156 () (tptp.hBOOL (tptp.hAPP @t2114 @t2084))) % 6.62/6.85 (define @t2157 () (=> @t2060 @t2156)) % 6.62/6.85 (define @t2158 () (=> @t2060 @t698)) % 6.62/6.85 (define @t2159 () (=> @t2115 @t2158)) % 6.62/6.85 (define @t2160 () (tptp.class_Rings_Olinordered__semiring @t372)) % 6.62/6.85 (define @t2161 () (=> @t2117 @t2158)) % 6.62/6.85 (define @t2162 () (=> @t2116 @t414)) % 6.62/6.85 (define @t2163 () (tptp.hBOOL (tptp.hAPP @t382 @t1322))) % 6.62/6.85 (define @t2164 () (tptp.hBOOL (tptp.hAPP @t2044 @t381))) % 6.62/6.85 (define @t2165 () (tptp.hBOOL (tptp.hAPP @t2044 @t371))) % 6.62/6.85 (define @t2166 () (tptp.hAPP @t2050 @t371)) % 6.62/6.85 (define @t2167 () (tptp.hAPP @t1520 @t1853)) % 6.62/6.85 (define @t2168 () (tptp.hBOOL (tptp.hAPP @t1978 @t1014))) % 6.62/6.85 (define @t2169 () (tptp.hAPP @t1016 @t1976)) % 6.62/6.85 (define @t2170 () (tptp.hBOOL (tptp.hAPP @t2169 @t793))) % 6.62/6.85 (define @t2171 () (tptp.hBOOL (tptp.hAPP @t2169 @t1211))) % 6.62/6.85 (define @t2172 () (@var "B_d" $$unsorted)) % 6.62/6.85 (define @t2173 () (tptp.hAPP @t180 @t2172)) % 6.62/6.85 (define @t2174 () (tptp.hBOOL @t2173)) % 6.62/6.85 (define @t2175 () (= @t13 (tptp.hAPP (tptp.hAPP @t1223 @t57) @t2172))) % 6.62/6.85 (define @t2176 () (@list @t2172)) % 6.62/6.85 (define @t2177 () (tptp.hBOOL (tptp.hAPP @t180 @t1975))) % 6.62/6.85 (define @t2178 () (not @t2177)) % 6.62/6.85 (define @t2179 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t13) @t57))) % 6.62/6.85 (define @t2180 () (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP (tptp.hAPP @t467 @t13) @t57)))) % 6.62/6.85 (define @t2181 () (@list @t57 @t13 @t180)) % 6.62/6.85 (define @t2182 () (=> @t2143 @t1250)) % 6.62/6.85 (define @t2183 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t2033) @t2032))) % 6.62/6.85 (define @t2184 () (forall @t458 (=> @t457 (=> @t1622 (= @t455 @t1975))))) % 6.62/6.85 (define @t2185 () (tptp.hAPP (tptp.hAPP @t357 (tptp.hAPP @t1384 @t2124)) @t199)) % 6.62/6.85 (define @t2186 () (tptp.hAPP (tptp.hAPP @t357 (tptp.hAPP @t1391 @t2124)) @t199)) % 6.62/6.85 (define @t2187 () (tptp.hBOOL (tptp.hAPP @t1978 @t5))) % 6.62/6.85 (define @t2188 () (forall @t7 (=> @t1926 @t2187))) % 6.62/6.85 (define @t2189 () (tptp.hBOOL (tptp.hAPP @t1978 (tptp.hAPP @t1330 @t199)))) % 6.62/6.85 (define @t2190 () (@list @t2 @t199 @t8)) % 6.62/6.85 (define @t2191 () (@var "V_v" $$unsorted)) % 6.62/6.85 (define @t2192 () (tptp.hAPP (tptp.hAPP @t577 (tptp.hAPP (tptp.hAPP @t670 @t1436) @t371)) (tptp.hAPP (tptp.hAPP @t670 @t2191) @t381))) % 6.62/6.85 (define @t2193 () (= (tptp.hAPP (tptp.hAPP @t577 @t1436) @t2191) @t1322)) % 6.62/6.85 (define @t2194 () (tptp.hBOOL (tptp.hAPP @t2044 @t2191))) % 6.62/6.85 (define @t2195 () (tptp.hBOOL (tptp.hAPP @t2044 @t1436))) % 6.62/6.85 (define @t2196 () (@list @t2191 @t1436 @t381 @t403 @t371 @t372)) % 6.62/6.85 (define @t2197 () (tptp.hBOOL (tptp.hAPP @t696 @t1322))) % 6.62/6.85 (define @t2198 () (=> @t50 (= @t574 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t39 @t8 @t571) @t1) @t2124) @t45)))) % 6.62/6.85 (define @t2199 () (tptp.hAPP @t202 @t74)) % 6.62/6.85 (define @t2200 () (tptp.hAPP (tptp.hAPP @t357 (tptp.hAPP (tptp.hAPP @t1383 (tptp.hAPP (tptp.hAPP @t1382 (tptp.hAPP @t1381 @t2199)) @t2)) @t2124)) @t45)) % 6.62/6.85 (define @t2201 () (@list @t74 @t2 @t45 @t8 @t39)) % 6.62/6.85 (define @t2202 () (=> @t50 (= @t1014 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t8 @t1223) @t1354) @t1975) @t45)))) % 6.62/6.85 (define @t2203 () (@var "V_fa_2" $$unsorted)) % 6.62/6.85 (define @t2204 () (= @t1193 @t1975)) % 6.62/6.85 (define @t2205 () (tptp.hAPP @t387 @t359)) % 6.62/6.85 (define @t2206 () (tptp.hBOOL (tptp.hAPP @t2205 @t495))) % 6.62/6.85 (define @t2207 () (@var "B_b" $$unsorted)) % 6.62/6.85 (define @t2208 () (tptp.hAPP @t387 @t2124)) % 6.62/6.85 (define @t2209 () (tptp.hAPP @t58 @t2207)) % 6.62/6.85 (define @t2210 () (@list @t2207)) % 6.62/6.85 (define @t2211 () (@list @t2 @t45 @t74 @t8 @t39)) % 6.62/6.85 (define @t2212 () (tptp.hAPP @t1200 @t1193)) % 6.62/6.85 (define @t2213 () (tptp.hAPP @t1223 @t13)) % 6.62/6.85 (define @t2214 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2215 () (tptp.hAPP @t2214 @t1196)) % 6.62/6.85 (define @t2216 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2217 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2218 () (tptp.hAPP tptp.c_Nat_OSuc @t1976)) % 6.62/6.85 (define @t2219 () (@list @t1196 @t149 @t13)) % 6.62/6.85 (define @t2220 () (tptp.hAPP @t2214 @t1199)) % 6.62/6.85 (define @t2221 () (@list @t1199)) % 6.62/6.85 (define @t2222 () (tptp.c_SetInterval_Oord__class_OlessThan @t8)) % 6.62/6.85 (define @t2223 () (tptp.hAPP @t2222 @t109)) % 6.62/6.85 (define @t2224 () (tptp.hAPP @t2222 @t60)) % 6.62/6.85 (define @t2225 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2226 () (@list @t1426)) % 6.62/6.85 (define @t2227 () (tptp.c_Orderings_Obot__class_Obot @t1443)) % 6.62/6.85 (define @t2228 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2229 () (tptp.hAPP @t2228 @t1199)) % 6.62/6.85 (define @t2230 () (tptp.hAPP @t2214 @t1894)) % 6.62/6.85 (define @t2231 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t1443) @t1444)) % 6.62/6.85 (define @t2232 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 6.62/6.85 (define @t2233 () (tptp.hAPP @t2228 @t1975)) % 6.62/6.85 (define @t2234 () (tptp.hAPP @t2214 @t1879)) % 6.62/6.85 (define @t2235 () (tptp.hAPP @t2 @t1196)) % 6.62/6.85 (define @t2236 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t8)) % 6.62/6.85 (define @t2237 () (tptp.hAPP @t2236 @t2)) % 6.62/6.85 (define @t2238 () (@list @t1196 @t2 @t8)) % 6.62/6.85 (define @t2239 () (tptp.hAPP @t2222 @t1199)) % 6.62/6.85 (define @t2240 () (@list @t1199 @t1229 @t8)) % 6.62/6.85 (define @t2241 () (tptp.hAPP @t702 @t307)) % 6.62/6.85 (define @t2242 () (@list @t1196 @t307 @t8)) % 6.62/6.85 (define @t2243 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2244 () (tptp.hAPP @t2243 @t371)) % 6.62/6.85 (define @t2245 () (tptp.hAPP @t2244 @t381)) % 6.62/6.85 (define @t2246 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2247 () (tptp.hAPP (tptp.hAPP @t46 @t1199) @t53)) % 6.62/6.85 (define @t2248 () (@list @t1199 @t8)) % 6.62/6.85 (define @t2249 () (= (= @t2001 @t1985) @t1989)) % 6.62/6.85 (define @t2250 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8)) % 6.62/6.85 (define @t2251 () (tptp.hAPP @t2250 @t1196)) % 6.62/6.85 (define @t2252 () (tptp.hAPP @t642 @t2251)) % 6.62/6.85 (define @t2253 () (tptp.c_COMBB @t8 @t473 tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2254 () (tptp.hAPP @t587 @t1299)) % 6.62/6.85 (define @t2255 () (tptp.hAPP @t642 (tptp.hAPP @t2254 @t1299))) % 6.62/6.85 (define @t2256 () (tptp.class_Rings_Ocomm__semiring__1 @t8)) % 6.62/6.85 (define @t2257 () (tptp.hAPP @t358 @t1540)) % 6.62/6.85 (define @t2258 () (tptp.hAPP @t358 @t199)) % 6.62/6.85 (define @t2259 () (@var "B_B" $$unsorted)) % 6.62/6.85 (define @t2260 () (tptp.hBOOL (tptp.hAPP @t2208 @t5))) % 6.62/6.85 (define @t2261 () (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP @t2254 @t13)) @t13)) % 6.62/6.85 (define @t2262 () (tptp.c_Int_Oring__1__class_OInts @t8)) % 6.62/6.85 (define @t2263 () (tptp.hBOOL (tptp.hAPP @t66 @t2262))) % 6.62/6.85 (define @t2264 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2265 () (tptp.hAPP @t2264 @t793)) % 6.62/6.85 (define @t2266 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2267 () (tptp.hAPP @t2266 (tptp.hAPP @t2264 @t1853))) % 6.62/6.85 (define @t2268 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2269 () (tptp.hAPP @t2268 @t2267)) % 6.62/6.85 (define @t2270 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2271 () (and (= @t307 @t2270) (= @t1196 @t2270))) % 6.62/6.85 (define @t2272 () (= (tptp.hAPP (tptp.hAPP @t2246 @t307) @t1196) @t2270)) % 6.62/6.85 (define @t2273 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2274 () (tptp.hAPP @t2268 @t2273)) % 6.62/6.85 (define @t2275 () (tptp.hAPP @t2246 @t1216)) % 6.62/6.85 (define @t2276 () (tptp.hBOOL (tptp.hAPP @t2274 @t1216))) % 6.62/6.85 (define @t2277 () (tptp.hAPP @t2268 @t1261)) % 6.62/6.85 (define @t2278 () (tptp.hBOOL (tptp.hAPP @t2277 @t1217))) % 6.62/6.85 (define @t2279 () (tptp.hAPP @t58 @t2251)) % 6.62/6.85 (define @t2280 () (tptp.class_Rings_Oring__1 @t8)) % 6.62/6.85 (define @t2281 () (@list @t1196 @t8)) % 6.62/6.85 (define @t2282 () (@var "V_w" $$unsorted)) % 6.62/6.85 (define @t2283 () (tptp.hAPP @t2246 @t392)) % 6.62/6.85 (define @t2284 () (tptp.hAPP @t2283 @t2282)) % 6.62/6.85 (define @t2285 () (tptp.hAPP @t2266 @t392)) % 6.62/6.85 (define @t2286 () (@list @t2282 @t392)) % 6.62/6.85 (define @t2287 () (@var "V_z3" $$unsorted)) % 6.62/6.85 (define @t2288 () (@var "V_z2" $$unsorted)) % 6.62/6.85 (define @t2289 () (tptp.hAPP @t2246 @t2288)) % 6.62/6.85 (define @t2290 () (@var "V_z1" $$unsorted)) % 6.62/6.85 (define @t2291 () (tptp.hAPP @t2246 @t2290)) % 6.62/6.85 (define @t2292 () (@list @t2287 @t2288 @t2290)) % 6.62/6.85 (define @t2293 () (tptp.hAPP @t2246 @t2282)) % 6.62/6.85 (define @t2294 () (tptp.hAPP @t2293 @t392)) % 6.62/6.85 (define @t2295 () (tptp.hAPP @t2293 @t2288)) % 6.62/6.85 (define @t2296 () (tptp.hAPP @t2293 @t2290)) % 6.62/6.85 (define @t2297 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2298 () (tptp.hAPP (tptp.hAPP @t2297 @t2290) @t2288)) % 6.62/6.85 (define @t2299 () (@list @t2288 @t2290 @t2282)) % 6.62/6.85 (define @t2300 () (tptp.hAPP @t2289 @t2282)) % 6.62/6.85 (define @t2301 () (tptp.hAPP @t2291 @t2282)) % 6.62/6.85 (define @t2302 () (@list @t2282 @t2288 @t2290)) % 6.62/6.85 (define @t2303 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2304 () (tptp.hAPP @t2303 @t2290)) % 6.62/6.85 (define @t2305 () (tptp.hAPP @t2304 @t2288)) % 6.62/6.85 (define @t2306 () (@list @t392)) % 6.62/6.85 (define @t2307 () (tptp.hAPP @t2250 @t307)) % 6.62/6.85 (define @t2308 () (tptp.class_Nat_Osemiring__char__0 @t8)) % 6.62/6.85 (define @t2309 () (and @t1987 @t2019)) % 6.62/6.85 (define @t2310 () (tptp.hAPP @t2264 @t307)) % 6.62/6.85 (define @t2311 () (tptp.hAPP @t2264 @t1196)) % 6.62/6.85 (define @t2312 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2313 () (tptp.hAPP @t2312 @t2311)) % 6.62/6.85 (define @t2314 () (tptp.hAPP @t2264 @t1975)) % 6.62/6.85 (define @t2315 () (@var "B_n" $$unsorted)) % 6.62/6.85 (define @t2316 () (tptp.hAPP @t2264 (tptp.hAPP tptp.c_Nat_OSuc @t2315))) % 6.62/6.85 (define @t2317 () (tptp.hAPP @t2303 @t787)) % 6.62/6.85 (define @t2318 () (@list @t2315)) % 6.62/6.85 (define @t2319 () (tptp.hAPP @t2268 @t787)) % 6.62/6.85 (define @t2320 () (tptp.hBOOL (tptp.hAPP @t2319 @t142))) % 6.62/6.85 (define @t2321 () (@list @t142 @t787)) % 6.62/6.85 (define @t2322 () (tptp.hAPP @t2303 @t2270)) % 6.62/6.85 (define @t2323 () (tptp.hAPP @t2312 @t2273)) % 6.62/6.85 (define @t2324 () (tptp.hAPP @t2268 @t2310)) % 6.62/6.85 (define @t2325 () (tptp.hAPP @t2264 @t1239)) % 6.62/6.85 (define @t2326 () (tptp.hAPP @t2264 @t1211)) % 6.62/6.85 (define @t2327 () (tptp.hAPP @t2303 @t2265)) % 6.62/6.85 (define @t2328 () (tptp.hAPP (tptp.hAPP @t2246 @t2265) @t2326)) % 6.62/6.85 (define @t2329 () (tptp.hAPP @t2264 @t1445)) % 6.62/6.85 (define @t2330 () (tptp.hAPP @t2264 @t1193)) % 6.62/6.85 (define @t2331 () (tptp.hAPP (tptp.hAPP @t2018 @t793) @t1211)) % 6.62/6.85 (define @t2332 () (tptp.hAPP @t2264 @t2331)) % 6.62/6.85 (define @t2333 () (tptp.hAPP (tptp.hAPP @t2243 @t2265) @t1211)) % 6.62/6.85 (define @t2334 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t8) @t2264) @t2)) % 6.62/6.85 (define @t2335 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2336 () (tptp.hAPP (tptp.hAPP @t2335 @t2334) @t45)) % 6.62/6.85 (define @t2337 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2338 () (tptp.hAPP (tptp.hAPP @t2337 @t2334) @t45)) % 6.62/6.85 (define @t2339 () (tptp.hAPP @t1330 @t45)) % 6.62/6.85 (define @t2340 () (tptp.hAPP @t2264 @t1216)) % 6.62/6.85 (define @t2341 () (tptp.hAPP @t2246 @t2340)) % 6.62/6.85 (define @t2342 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t372)) % 6.62/6.85 (define @t2343 () (tptp.hAPP @t2342 @t1211)) % 6.62/6.85 (define @t2344 () (tptp.hAPP @t2342 @t793)) % 6.62/6.85 (define @t2345 () (tptp.hAPP @t680 @t2344)) % 6.62/6.85 (define @t2346 () (tptp.class_Rings_Osemiring__1 @t372)) % 6.62/6.85 (define @t2347 () (tptp.hBOOL (tptp.hAPP @t2345 @t2343))) % 6.62/6.85 (define @t2348 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 @t39) @t2250) @t2)) % 6.62/6.85 (define @t2349 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t39 tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2350 () (tptp.class_Rings_Osemiring__1 @t8)) % 6.62/6.85 (define @t2351 () (tptp.hAPP @t58 @t1985)) % 6.62/6.85 (define @t2352 () (tptp.hAPP @t58 @t595)) % 6.62/6.85 (define @t2353 () (tptp.hBOOL (tptp.hAPP @t59 @t2262))) % 6.62/6.85 (define @t2354 () (tptp.hAPP @t58 @t2007)) % 6.62/6.85 (define @t2355 () (tptp.hAPP @t58 @t1299)) % 6.62/6.85 (define @t2356 () (tptp.class_Int_Oring__char__0 @t8)) % 6.62/6.85 (define @t2357 () (tptp.c_COMBC @t8 @t8 @t8)) % 6.62/6.85 (define @t2358 () (tptp.hBOOL (tptp.hAPP @t180 @t2273))) % 6.62/6.85 (define @t2359 () (tptp.hAPP @t2264 @t109)) % 6.62/6.85 (define @t2360 () (tptp.hAPP @t2264 @t60)) % 6.62/6.85 (define @t2361 () (tptp.hAPP @t1144 @t109)) % 6.62/6.85 (define @t2362 () (tptp.hAPP @t467 @t60)) % 6.62/6.85 (define @t2363 () (tptp.hAPP @t2362 @t109)) % 6.62/6.85 (define @t2364 () (tptp.hAPP @t2264 @t371)) % 6.62/6.85 (define @t2365 () (@list @t1211 @t371)) % 6.62/6.85 (define @t2366 () (tptp.hAPP (tptp.hAPP @t1302 @t371) @t381)) % 6.62/6.85 (define @t2367 () (tptp.hAPP @t2264 @t381)) % 6.62/6.85 (define @t2368 () (tptp.hAPP @t1242 @t467)) % 6.62/6.85 (define @t2369 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t2368 @t82)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t60) @t109))) % 6.62/6.85 (define @t2370 () (tptp.hAPP @t2233 @t2227)) % 6.62/6.85 (define @t2371 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t82) @t109))) % 6.62/6.85 (define @t2372 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1455)) % 6.62/6.85 (define @t2373 () (tptp.hAPP @t2372 @t1426)) % 6.62/6.85 (define @t2374 () (@list @t1426 @t1455)) % 6.62/6.85 (define @t2375 () (tptp.hAPP @t2266 @t2326)) % 6.62/6.85 (define @t2376 () (tptp.hAPP @t2312 @t2375)) % 6.62/6.85 (define @t2377 () (@list @t1216)) % 6.62/6.85 (define @t2378 () (tptp.hAPP @t2264 @t2315)) % 6.62/6.85 (define @t2379 () (tptp.hAPP @t2312 @t787)) % 6.62/6.85 (define @t2380 () (tptp.hBOOL (tptp.hAPP @t2379 @t142))) % 6.62/6.85 (define @t2381 () (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t2264 @t3)))) % 6.62/6.85 (define @t2382 () (tptp.hBOOL (tptp.hAPP @t2323 @t3))) % 6.62/6.85 (define @t2383 () (@list @t180)) % 6.62/6.85 (define @t2384 () (tptp.hAPP @t2264 @t392)) % 6.62/6.85 (define @t2385 () (@list @t109 @t60)) % 6.62/6.85 (define @t2386 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2264)) % 6.62/6.85 (define @t2387 () (tptp.hAPP @t2386 @t74)) % 6.62/6.85 (define @t2388 () (tptp.hAPP @t2386 @t45)) % 6.62/6.85 (define @t2389 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t2390 () (tptp.c_Orderings_Oord__class_Oless__eq @t2389)) % 6.62/6.85 (define @t2391 () (tptp.c_Orderings_Oord__class_Oless__eq @t1443)) % 6.62/6.85 (define @t2392 () (tptp.hAPP @t2391 @t45)) % 6.62/6.85 (define @t2393 () (@list @t74 @t45)) % 6.62/6.85 (define @t2394 () (tptp.c_member tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2395 () (tptp.hAPP @t1281 @t60)) % 6.62/6.85 (define @t2396 () (@list @t45 @t60)) % 6.62/6.85 (define @t2397 () (tptp.c_Orderings_Oord__class_Oless @t2389)) % 6.62/6.85 (define @t2398 () (tptp.c_Orderings_Oord__class_Oless @t1443)) % 6.62/6.85 (define @t2399 () (= @t787 @t142)) % 6.62/6.85 (define @t2400 () (tptp.hBOOL (tptp.hAPP @t2319 (tptp.hAPP (tptp.hAPP @t2303 @t142) @t2270)))) % 6.62/6.85 (define @t2401 () (tptp.hAPP @t2268 @t381)) % 6.62/6.85 (define @t2402 () (tptp.hAPP @t2268 @t371)) % 6.62/6.85 (define @t2403 () (tptp.hAPP @t2303 @t2282)) % 6.62/6.85 (define @t2404 () (tptp.hAPP @t2403 @t392)) % 6.62/6.85 (define @t2405 () (tptp.hAPP @t2303 @t392)) % 6.62/6.85 (define @t2406 () (tptp.hAPP @t2405 @t2282)) % 6.62/6.85 (define @t2407 () (tptp.hAPP @t2303 @t371)) % 6.62/6.85 (define @t2408 () (tptp.hAPP @t2303 @t381)) % 6.62/6.85 (define @t2409 () (tptp.hAPP @t2266 @t2282)) % 6.62/6.85 (define @t2410 () (tptp.hAPP @t2405 @t2409)) % 6.62/6.85 (define @t2411 () (tptp.hAPP @t2297 @t392)) % 6.62/6.85 (define @t2412 () (tptp.hAPP @t2411 @t2282)) % 6.62/6.85 (define @t2413 () (tptp.hAPP @t2303 @t2285)) % 6.62/6.85 (define @t2414 () (tptp.hAPP @t2303 @t1261)) % 6.62/6.85 (define @t2415 () (@var "V_z_H" $$unsorted)) % 6.62/6.85 (define @t2416 () (@var "V_w_H" $$unsorted)) % 6.62/6.85 (define @t2417 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2415) @t392))) % 6.62/6.85 (define @t2418 () (tptp.hAPP @t2312 @t142)) % 6.62/6.85 (define @t2419 () (tptp.hAPP @t2268 @t142)) % 6.62/6.85 (define @t2420 () (@list @t787 @t142)) % 6.62/6.85 (define @t2421 () (tptp.hAPP @t2312 @t2282)) % 6.62/6.85 (define @t2422 () (@list @t2282)) % 6.62/6.85 (define @t2423 () (tptp.hBOOL (tptp.hAPP @t2421 @t392))) % 6.62/6.85 (define @t2424 () (tptp.hAPP @t2312 @t392)) % 6.62/6.85 (define @t2425 () (tptp.hBOOL (tptp.hAPP @t2424 @t2282))) % 6.62/6.85 (define @t2426 () (tptp.hAPP @t2407 @t381)) % 6.62/6.85 (define @t2427 () (tptp.hBOOL (tptp.hAPP @t2323 @t381))) % 6.62/6.85 (define @t2428 () (tptp.hBOOL (tptp.hAPP @t2323 @t371))) % 6.62/6.85 (define @t2429 () (tptp.hAPP @t2303 @t1216)) % 6.62/6.85 (define @t2430 () (tptp.hAPP @t2312 @t1261)) % 6.62/6.85 (define @t2431 () (tptp.hBOOL (tptp.hAPP @t2430 @t1217))) % 6.62/6.85 (define @t2432 () (tptp.hAPP @t2268 @t1199)) % 6.62/6.85 (define @t2433 () (tptp.hBOOL (tptp.hAPP @t2432 @t1455))) % 6.62/6.85 (define @t2434 () (@list @t1455 @t1199)) % 6.62/6.85 (define @t2435 () (tptp.hAPP @t2322 @t392)) % 6.62/6.85 (define @t2436 () (tptp.hAPP @t2297 @t142)) % 6.62/6.85 (define @t2437 () (tptp.hBOOL (tptp.hAPP @t2274 @t142))) % 6.62/6.85 (define @t2438 () (tptp.hAPP @t2312 @t2270)) % 6.62/6.85 (define @t2439 () (@list @t142)) % 6.62/6.85 (define @t2440 () (tptp.hBOOL (tptp.hAPP @t2323 @t392))) % 6.62/6.85 (define @t2441 () (@list @t392 @t2282)) % 6.62/6.85 (define @t2442 () (tptp.hBOOL (tptp.hAPP @t2419 @t2273))) % 6.62/6.85 (define @t2443 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t82) @t149)) % 6.62/6.85 (define @t2444 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t13) @t57)) % 6.62/6.85 (define @t2445 () (= @t2444 @t2443)) % 6.62/6.85 (define @t2446 () (tptp.hAPP @t1223 @t1228)) % 6.62/6.85 (define @t2447 () (tptp.hAPP @t2446 @t1199)) % 6.62/6.85 (define @t2448 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1229)) % 6.62/6.85 (define @t2449 () (tptp.hAPP @t2448 @t1228)) % 6.62/6.85 (define @t2450 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1443)) % 6.62/6.85 (define @t2451 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t307)) % 6.62/6.85 (define @t2452 () (@list @t307)) % 6.62/6.85 (define @t2453 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1975)) % 6.62/6.85 (define @t2454 () (tptp.hAPP @t2453 @t1196)) % 6.62/6.85 (define @t2455 () (tptp.hAPP @t2225 @t45)) % 6.62/6.85 (define @t2456 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1199) (tptp.hAPP @t1255 @t2455))) % 6.62/6.85 (define @t2457 () (tptp.hAPP @t467 @t1426)) % 6.62/6.85 (define @t2458 () (tptp.hAPP @t2457 @t1455)) % 6.62/6.85 (define @t2459 () (tptp.hAPP tptp.c_Nat_OSuc @t1228)) % 6.62/6.85 (define @t2460 () (tptp.hAPP tptp.c_Nat_OSuc @t1229)) % 6.62/6.85 (define @t2461 () (@list @t1228 @t1229)) % 6.62/6.85 (define @t2462 () (= @t2444 @t53)) % 6.62/6.85 (define @t2463 () (not @t714)) % 6.62/6.85 (define @t2464 () (tptp.hBOOL (tptp.hAPP @t894 @t149))) % 6.62/6.85 (define @t2465 () (tptp.hBOOL (tptp.hAPP @t562 @t13))) % 6.62/6.85 (define @t2466 () (and @t2465 @t2464)) % 6.62/6.85 (define @t2467 () (tptp.hAPP @t2451 @t1196)) % 6.62/6.85 (define @t2468 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Nat_Onat) @t2)) % 6.62/6.85 (define @t2469 () (tptp.hAPP @t2236 (tptp.hAPP @t2468 tptp.c_Nat_OSuc))) % 6.62/6.85 (define @t2470 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1874)) % 6.62/6.85 (define @t2471 () (@list @t1196 @t307 @t2 @t8)) % 6.62/6.85 (define @t2472 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t1455)) % 6.62/6.85 (define @t2473 () (tptp.hAPP @t2472 @t1426)) % 6.62/6.85 (define @t2474 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t307) @t1426)) % 6.62/6.85 (define @t2475 () (tptp.hAPP @t2472 @t307)) % 6.62/6.85 (define @t2476 () (tptp.hAPP @t1037 @t2475)) % 6.62/6.85 (define @t2477 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t307) @t1426))) % 6.62/6.85 (define @t2478 () (tptp.hAPP @t424 @t1455)) % 6.62/6.85 (define @t2479 () (tptp.hBOOL (tptp.hAPP @t2478 @t307))) % 6.62/6.85 (define @t2480 () (@list @t1426 @t307 @t1455 @t8)) % 6.62/6.85 (define @t2481 () (tptp.hAPP @t2236 (tptp.hAPP @t2468 @t1244))) % 6.62/6.85 (define @t2482 () (@list @t1196 @t1199 @t307 @t2 @t8)) % 6.62/6.85 (define @t2483 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t1229)) % 6.62/6.85 (define @t2484 () (tptp.hAPP @t424 @t1229)) % 6.62/6.85 (define @t2485 () (tptp.hAPP @t1551 @t2475)) % 6.62/6.85 (define @t2486 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1244)) % 6.62/6.85 (define @t2487 () (@list @t1228 @t1229 @t1199)) % 6.62/6.85 (define @t2488 () (@var "V_p_2" $$unsorted)) % 6.62/6.85 (define @t2489 () (tptp.hAPP @t2237 (tptp.hAPP @t2451 @t2488))) % 6.62/6.85 (define @t2490 () (tptp.hAPP @t2237 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1196) @t2488))) % 6.62/6.85 (define @t2491 () (tptp.hAPP @t2237 @t2467)) % 6.62/6.85 (define @t2492 () (tptp.hAPP @t587 @t2491)) % 6.62/6.85 (define @t2493 () (tptp.hBOOL (tptp.hAPP @t1886 @t2488))) % 6.62/6.85 (define @t2494 () (@list @t2 @t2488 @t1196 @t307 @t8)) % 6.62/6.85 (define @t2495 () (@var "V_inc_2" $$unsorted)) % 6.62/6.85 (define @t2496 () (tptp.hAPP (tptp.hAPP @t2246 @t371) @t381)) % 6.62/6.85 (define @t2497 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t52)) % 6.62/6.85 (define @t2498 () (tptp.hAPP @t2497 @t1444)) % 6.62/6.85 (define @t2499 () (tptp.hAPP @t2498 @t45)) % 6.62/6.85 (define @t2500 () (tptp.tc_fun tptp.tc_Nat_Onat @t52)) % 6.62/6.85 (define @t2501 () (tptp.hAPP @t1011 @t149)) % 6.62/6.85 (define @t2502 () (tptp.hAPP @t964 @t82)) % 6.62/6.85 (define @t2503 () (tptp.hAPP @t2222 @t1426)) % 6.62/6.85 (define @t2504 () (tptp.hAPP @t2222 @t1455)) % 6.62/6.85 (define @t2505 () (tptp.hAPP @t1037 @t2504)) % 6.62/6.85 (define @t2506 () (tptp.hBOOL (tptp.hAPP @t2478 @t1426))) % 6.62/6.85 (define @t2507 () (@list @t1426 @t1455 @t8)) % 6.62/6.85 (define @t2508 () (tptp.hAPP @t1551 @t2504)) % 6.62/6.85 (define @t2509 () (tptp.hAPP @t2 @t1975)) % 6.62/6.85 (define @t2510 () (tptp.hAPP @t2 @t307)) % 6.62/6.85 (define @t2511 () (tptp.hAPP @t587 @t2510)) % 6.62/6.85 (define @t2512 () (@list @t2 @t1196 @t307 @t8)) % 6.62/6.85 (define @t2513 () (tptp.c_Orderings_Obot__class_Obot @t2389)) % 6.62/6.85 (define @t2514 () (tptp.hAPP @t2244 @t1211)) % 6.62/6.85 (define @t2515 () (tptp.hAPP @t2451 @t1879)) % 6.62/6.85 (define @t2516 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2517 () (@list @t45)) % 6.62/6.85 (define @t2518 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2519 () (tptp.hAPP @t2237 @t2515)) % 6.62/6.85 (define @t2520 () (@list @t2 @t307 @t1196 @t8)) % 6.62/6.85 (define @t2521 () (tptp.hAPP @t2312 @t1471)) % 6.62/6.85 (define @t2522 () (tptp.hBOOL (tptp.hAPP @t2323 @t2120))) % 6.62/6.85 (define @t2523 () (tptp.hAPP @t2246 @t403)) % 6.62/6.85 (define @t2524 () (tptp.hAPP @t2523 @t1471)) % 6.62/6.85 (define @t2525 () (= @t403 (tptp.hAPP (tptp.hAPP @t2303 @t2120) @t2524))) % 6.62/6.85 (define @t2526 () (tptp.hBOOL (tptp.hAPP @t2274 @t403))) % 6.62/6.85 (define @t2527 () (@list @t1471 @t2120 @t403)) % 6.62/6.85 (define @t2528 () (tptp.hAPP @t2268 @t2120)) % 6.62/6.85 (define @t2529 () (@var "V_q_H" $$unsorted)) % 6.62/6.85 (define @t2530 () (@var "V_b_H" $$unsorted)) % 6.62/6.85 (define @t2531 () (tptp.hBOOL (tptp.hAPP @t2274 @t2530))) % 6.62/6.85 (define @t2532 () (@var "V_r_H" $$unsorted)) % 6.62/6.85 (define @t2533 () (tptp.hAPP @t2268 @t2532)) % 6.62/6.85 (define @t2534 () (tptp.hBOOL (tptp.hAPP @t2533 @t2530))) % 6.62/6.85 (define @t2535 () (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP (tptp.hAPP @t2246 @t2530) @t2529)) @t2532)) % 6.62/6.85 (define @t2536 () (tptp.hBOOL (tptp.hAPP @t2323 @t2535))) % 6.62/6.85 (define @t2537 () (@list @t2532 @t2529 @t2530)) % 6.62/6.85 (define @t2538 () (tptp.hAPP @t2312 @t2529)) % 6.62/6.85 (define @t2539 () (tptp.hBOOL (tptp.hAPP @t2323 @t2532))) % 6.62/6.85 (define @t2540 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2535) @t2273))) % 6.62/6.85 (define @t2541 () (tptp.hBOOL (tptp.hAPP @t2538 @t1471))) % 6.62/6.85 (define @t2542 () (tptp.hBOOL (tptp.hAPP @t2528 @t407))) % 6.62/6.85 (define @t2543 () (tptp.hAPP @t2246 @t407)) % 6.62/6.85 (define @t2544 () (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2543 @t1471)) @t2120)) % 6.62/6.85 (define @t2545 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2543 @t2529)) @t2532)) @t2544))) % 6.62/6.85 (define @t2546 () (@list @t2120 @t1471 @t2532 @t2529 @t407)) % 6.62/6.85 (define @t2547 () (tptp.hBOOL (tptp.hAPP @t2521 @t2529))) % 6.62/6.85 (define @t2548 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2530) @t407))) % 6.62/6.85 (define @t2549 () (= @t2544 @t2535)) % 6.62/6.85 (define @t2550 () (@list @t2532 @t2529 @t2530 @t2120 @t1471 @t407)) % 6.62/6.85 (define @t2551 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1455)) % 6.62/6.85 (define @t2552 () (tptp.hAPP @t2551 @t1426)) % 6.62/6.85 (define @t2553 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t2273)) % 6.62/6.85 (define @t2554 () (tptp.hAPP @t2553 @t1426)) % 6.62/6.85 (define @t2555 () (tptp.hAPP @t2297 @t1426)) % 6.62/6.85 (define @t2556 () (tptp.hAPP @t2555 @t1455)) % 6.62/6.85 (define @t2557 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2558 () (tptp.hAPP @t2268 @t407)) % 6.62/6.85 (define @t2559 () (tptp.hBOOL (tptp.hAPP @t2558 @t2120))) % 6.62/6.85 (define @t2560 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2120) @t2273))) % 6.62/6.85 (define @t2561 () (tptp.hBOOL (tptp.hAPP @t1282 @t2454))) % 6.62/6.85 (define @t2562 () (tptp.hBOOL (tptp.hAPP @t180 @t1280))) % 6.62/6.85 (define @t2563 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1280) @t1196))) % 6.62/6.85 (define @t2564 () (@list @t180 @t1196)) % 6.62/6.85 (define @t2565 () (tptp.hAPP @t2498 @t74)) % 6.62/6.85 (define @t2566 () (tptp.hAPP @t350 @t2499)) % 6.62/6.85 (define @t2567 () (tptp.hAPP (tptp.hAPP @t2497 (tptp.hAPP @t2453 (tptp.hAPP (tptp.hAPP @t1223 @t2315) @t1199))) @t74)) % 6.62/6.85 (define @t2568 () (tptp.hAPP (tptp.hAPP @t2497 (tptp.hAPP @t2453 @t2315)) @t45)) % 6.62/6.85 (define @t2569 () (tptp.hAPP @t350 @t2568)) % 6.62/6.85 (define @t2570 () (@list @t74 @t1199 @t45 @t8)) % 6.62/6.85 (define @t2571 () (@list @t447 @t45 @t8)) % 6.62/6.85 (define @t2572 () (tptp.c_Nat__Transfer_Otsub @t371 @t381)) % 6.62/6.85 (define @t2573 () (tptp.hAPP @t2312 @t381)) % 6.62/6.85 (define @t2574 () (tptp.hBOOL (tptp.hAPP @t2573 @t371))) % 6.62/6.85 (define @t2575 () (tptp.hAPP @t2297 @t371)) % 6.62/6.85 (define @t2576 () (tptp.hAPP @t2575 @t381)) % 6.62/6.85 (define @t2577 () (=> @t2574 (= @t2572 @t2576))) % 6.62/6.85 (define @t2578 () (@list @t371 @t381)) % 6.62/6.85 (define @t2579 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t1455 @t1426)) % 6.62/6.85 (define @t2580 () (tptp.hAPP @t1037 (tptp.hAPP (tptp.hAPP @t46 @t1455) @t53))) % 6.62/6.85 (define @t2581 () (tptp.hAPP @t702 @t1455)) % 6.62/6.85 (define @t2582 () (tptp.hBOOL (tptp.hAPP @t2581 @t1426))) % 6.62/6.85 (define @t2583 () (tptp.hAPP @t2243 @t1216)) % 6.62/6.85 (define @t2584 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2585 () (@list @t1216 @t793)) % 6.62/6.85 (define @t2586 () (= (tptp.hAPP @t92 (tptp.hAPP @t1918 @t74)) (tptp.hAPP @t1924 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 @t80 @t125) @t92) @t74)))) % 6.62/6.85 (define @t2587 () (tptp.c_member @t125)) % 6.62/6.85 (define @t2588 () (@var "V_com2" $$unsorted)) % 6.62/6.85 (define @t2589 () (@var "V_com1" $$unsorted)) % 6.62/6.85 (define @t2590 () (tptp.c_Com_Ocom_OSemi @t2589 @t2588)) % 6.62/6.85 (define @t2591 () (@list @t2588 @t2589)) % 6.62/6.85 (define @t2592 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t1455 @t1426)) % 6.62/6.85 (define @t2593 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1455 @t1426)) % 6.62/6.85 (define @t2594 () (@list @t407)) % 6.62/6.85 (define @t2595 () (tptp.hAPP @t2584 @t403)) % 6.62/6.85 (define @t2596 () (tptp.hAPP @t2595 @t407)) % 6.62/6.85 (define @t2597 () (tptp.hAPP @t2266 @t407)) % 6.62/6.85 (define @t2598 () (tptp.hAPP @t2266 @t403)) % 6.62/6.85 (define @t2599 () (tptp.hAPP @t2584 @t2598)) % 6.62/6.85 (define @t2600 () (@list @t407 @t403)) % 6.62/6.85 (define @t2601 () (tptp.hAPP @t2599 @t407)) % 6.62/6.85 (define @t2602 () (tptp.hAPP @t2595 @t2597)) % 6.62/6.85 (define @t2603 () (tptp.c_Divides_Odiv__class_Odiv @t372)) % 6.62/6.85 (define @t2604 () (tptp.hAPP @t2603 @t403)) % 6.62/6.85 (define @t2605 () (tptp.class_Divides_Osemiring__div @t372)) % 6.62/6.85 (define @t2606 () (tptp.hAPP @t2584 @t371)) % 6.62/6.85 (define @t2607 () (tptp.hAPP @t2606 @t381)) % 6.62/6.85 (define @t2608 () (tptp.hBOOL (tptp.hAPP @t2274 @t407))) % 6.62/6.85 (define @t2609 () (tptp.hAPP @t2268 @t403)) % 6.62/6.85 (define @t2610 () (tptp.hBOOL (tptp.hAPP @t2609 @t2273))) % 6.62/6.85 (define @t2611 () (tptp.hAPP @t2584 @t13)) % 6.62/6.85 (define @t2612 () (tptp.hAPP @t2611 @t57)) % 6.62/6.85 (define @t2613 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2612) @t2273))) % 6.62/6.85 (define @t2614 () (tptp.hAPP @t2268 @t57)) % 6.62/6.85 (define @t2615 () (tptp.hBOOL (tptp.hAPP @t2614 @t2273))) % 6.62/6.85 (define @t2616 () (@list @t13 @t57)) % 6.62/6.85 (define @t2617 () (tptp.hAPP @t2268 @t13)) % 6.62/6.85 (define @t2618 () (tptp.hAPP @t2274 @t57)) % 6.62/6.85 (define @t2619 () (tptp.hBOOL @t2618)) % 6.62/6.85 (define @t2620 () (= @t403 @t2273)) % 6.62/6.85 (define @t2621 () (not @t2620)) % 6.62/6.85 (define @t2622 () (@list @t403)) % 6.62/6.85 (define @t2623 () (tptp.hAPP @t2604 @t407)) % 6.62/6.85 (define @t2624 () (tptp.hAPP (tptp.hAPP @t2603 @t2080) @t2079)) % 6.62/6.85 (define @t2625 () (= @t404 @t1991)) % 6.62/6.85 (define @t2626 () (not @t2625)) % 6.62/6.85 (define @t2627 () (=> @t2626 (= @t2624 @t2623))) % 6.62/6.85 (define @t2628 () (tptp.hAPP @t2603 @t674)) % 6.62/6.85 (define @t2629 () (tptp.hBOOL (tptp.hAPP @t2478 @t1199))) % 6.62/6.85 (define @t2630 () (@list @t1199 @t1455 @t8)) % 6.62/6.85 (define @t2631 () (tptp.hAPP @t2312 @t1229)) % 6.62/6.85 (define @t2632 () (tptp.hBOOL (tptp.hAPP @t2631 @t2273))) % 6.62/6.85 (define @t2633 () (tptp.hAPP @t2268 @t1229)) % 6.62/6.85 (define @t2634 () (= @t1199 @t2273)) % 6.62/6.85 (define @t2635 () (tptp.hAPP (tptp.hAPP @t2584 @t1229) @t1199)) % 6.62/6.85 (define @t2636 () (tptp.hBOOL (tptp.hAPP @t2323 @t13))) % 6.62/6.85 (define @t2637 () (tptp.hBOOL (tptp.hAPP @t2323 @t2612))) % 6.62/6.85 (define @t2638 () (tptp.hAPP @t2312 @t1199)) % 6.62/6.85 (define @t2639 () (tptp.hBOOL (tptp.hAPP @t2274 @t1199))) % 6.62/6.85 (define @t2640 () (tptp.hAPP @t2312 @t57)) % 6.62/6.85 (define @t2641 () (@list @t57 @t13)) % 6.62/6.85 (define @t2642 () (tptp.hAPP @t2595 @t2530)) % 6.62/6.85 (define @t2643 () (tptp.hAPP @t2312 @t2596)) % 6.62/6.85 (define @t2644 () (tptp.hBOOL (tptp.hAPP @t2323 @t403))) % 6.62/6.85 (define @t2645 () (@list @t407 @t2530 @t403)) % 6.62/6.85 (define @t2646 () (tptp.hBOOL (tptp.hAPP @t2643 @t2273))) % 6.62/6.85 (define @t2647 () (tptp.hBOOL (tptp.hAPP @t2558 @t2273))) % 6.62/6.85 (define @t2648 () (= @t2596 @t2273)) % 6.62/6.85 (define @t2649 () (tptp.hBOOL (tptp.hAPP @t2609 @t407))) % 6.62/6.85 (define @t2650 () (tptp.hAPP @t2312 @t403)) % 6.62/6.85 (define @t2651 () (tptp.hBOOL (tptp.hAPP @t2650 @t2273))) % 6.62/6.85 (define @t2652 () (tptp.hBOOL (tptp.hAPP @t2558 @t403))) % 6.62/6.85 (define @t2653 () (@var "V_a_H" $$unsorted)) % 6.62/6.85 (define @t2654 () (tptp.hAPP (tptp.hAPP @t2584 @t2653) @t407)) % 6.62/6.85 (define @t2655 () (tptp.hBOOL (tptp.hAPP @t2650 @t2653))) % 6.62/6.85 (define @t2656 () (@list @t407 @t2653 @t403)) % 6.62/6.85 (define @t2657 () (tptp.hAPP tptp.c_Nat_OSuc @t1455)) % 6.62/6.85 (define @t2658 () (tptp.hAPP @t2268 @t2270)) % 6.62/6.85 (define @t2659 () (tptp.hAPP @t2543 @t404)) % 6.62/6.85 (define @t2660 () (tptp.hBOOL (tptp.hAPP @t2274 @t404))) % 6.62/6.85 (define @t2661 () (@list @t407 @t403 @t404)) % 6.62/6.85 (define @t2662 () (tptp.hAPP @t578 @t2623)) % 6.62/6.85 (define @t2663 () (tptp.hAPP @t583 @t672)) % 6.62/6.85 (define @t2664 () (tptp.hAPP @t583 @t2079)) % 6.62/6.85 (define @t2665 () (tptp.hAPP (tptp.hAPP @t577 @t2623) @t1322)) % 6.62/6.85 (define @t2666 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t1455 @t307)) % 6.62/6.85 (define @t2667 () (tptp.hAPP @t1551 @t2666)) % 6.62/6.85 (define @t2668 () (tptp.hAPP (tptp.hAPP @t2303 @t1455) @t2270)) % 6.62/6.85 (define @t2669 () (tptp.hAPP @t180 @t1029)) % 6.62/6.85 (define @t2670 () (tptp.hBOOL @t2669)) % 6.62/6.85 (define @t2671 () (tptp.hAPP @t2246 @t1199)) % 6.62/6.85 (define @t2672 () (= @t1196 (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2671 @t1029)) @t2131))) % 6.62/6.85 (define @t2673 () (and (tptp.hBOOL (tptp.hAPP @t2432 @t2131)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2131) @t2273)) @t2672)) % 6.62/6.85 (define @t2674 () (tptp.hAPP @t2432 @t2273)) % 6.62/6.85 (define @t2675 () (tptp.hBOOL @t2674)) % 6.62/6.85 (define @t2676 () (and (tptp.hBOOL (tptp.hAPP @t2323 @t2131)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2131) @t1199)) @t2672)) % 6.62/6.85 (define @t2677 () (tptp.hAPP @t180 (tptp.hAPP (tptp.hAPP @t2584 @t1196) @t1199))) % 6.62/6.85 (define @t2678 () (@list @t1199 @t1196 @t180)) % 6.62/6.85 (define @t2679 () (@var "V_b_1" $$unsorted)) % 6.62/6.85 (define @t2680 () (@var "V_a_1" $$unsorted)) % 6.62/6.85 (define @t2681 () (not (= @t2679 @t2273))) % 6.62/6.85 (define @t2682 () (@var "V_r_1" $$unsorted)) % 6.62/6.85 (define @t2683 () (tptp.hAPP @t2268 @t2679)) % 6.62/6.85 (define @t2684 () (tptp.hBOOL (tptp.hAPP @t2274 @t2679))) % 6.62/6.85 (define @t2685 () (not @t2684)) % 6.62/6.85 (define @t2686 () (tptp.hAPP @t2246 @t2679)) % 6.62/6.85 (define @t2687 () (tptp.hAPP @t1037 @t2666)) % 6.62/6.85 (define @t2688 () (tptp.hBOOL (tptp.hAPP @t2581 @t307))) % 6.62/6.85 (define @t2689 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.c_Com_Ocom_Ocom__size @t18)) @t1976)) % 6.62/6.85 (define @t2690 () (@list @t18 @t315)) % 6.62/6.85 (define @t2691 () (tptp.hAPP @t2266 @t1208)) % 6.62/6.85 (define @t2692 () (tptp.hAPP @t2584 @t1216)) % 6.62/6.85 (define @t2693 () (tptp.c_SMT_Oz3div @t1216 @t1208)) % 6.62/6.85 (define @t2694 () (tptp.hBOOL (tptp.hAPP @t2323 @t1208))) % 6.62/6.85 (define @t2695 () (not @t2694)) % 6.62/6.85 (define @t2696 () (tptp.hAPP @t2692 @t1208)) % 6.62/6.85 (define @t2697 () (@list @t1216 @t1208)) % 6.62/6.85 (define @t2698 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t1455 @t1426)) % 6.62/6.85 (define @t2699 () (tptp.hAPP (tptp.hAPP @t46 @t1426) @t53)) % 6.62/6.85 (define @t2700 () (tptp.hAPP @t1037 @t2579)) % 6.62/6.85 (define @t2701 () (tptp.c_Predicate_OPowp @t8 @t45)) % 6.62/6.85 (define @t2702 () (tptp.c_Sum__Type_OPlus @t8 @t39 @t45 @t74)) % 6.62/6.85 (define @t2703 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t1060) @t2702)) % 6.62/6.85 (define @t2704 () (and @t50 @t521)) % 6.62/6.85 (define @t2705 () (= @t2703 (tptp.hAPP @t1672 @t1184))) % 6.62/6.85 (define @t2706 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Com_Ocom)) % 6.62/6.85 (define @t2707 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t1455 @t1426)) % 6.62/6.85 (define @t2708 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1455 @t1426)) % 6.62/6.85 (define @t2709 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2710 () (tptp.hAPP @t2709 @t403)) % 6.62/6.85 (define @t2711 () (tptp.hAPP @t2710 @t407)) % 6.62/6.85 (define @t2712 () (tptp.hAPP @t1302 @t407)) % 6.62/6.85 (define @t2713 () (tptp.hAPP @t2712 @t404)) % 6.62/6.85 (define @t2714 () (tptp.hAPP @t2709 @t793)) % 6.62/6.85 (define @t2715 () (tptp.hAPP @t2714 @t1211)) % 6.62/6.85 (define @t2716 () (tptp.hAPP @t2709 @t1211)) % 6.62/6.85 (define @t2717 () (=> @t1214 (= @t2715 @t1975))) % 6.62/6.85 (define @t2718 () (tptp.hAPP (tptp.hAPP @t2709 @t1308) @t1307)) % 6.62/6.85 (define @t2719 () (= @t2718 @t2715)) % 6.62/6.85 (define @t2720 () (= @t1216 @t1975)) % 6.62/6.85 (define @t2721 () (tptp.hAPP @t2264 @t407)) % 6.62/6.85 (define @t2722 () (tptp.hAPP @t2264 @t403)) % 6.62/6.85 (define @t2723 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t1199 @t1455)) % 6.62/6.85 (define @t2724 () (= @t2723 @t53)) % 6.62/6.85 (define @t2725 () (tptp.hAPP @t702 @t1199)) % 6.62/6.85 (define @t2726 () (not (tptp.hBOOL (tptp.hAPP @t2725 @t1455)))) % 6.62/6.85 (define @t2727 () (@list @t1455 @t1199 @t8)) % 6.62/6.85 (define @t2728 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t307 @t1426)) % 6.62/6.85 (define @t2729 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t1455 @t307)) % 6.62/6.85 (define @t2730 () (tptp.hAPP @t1037 @t2729)) % 6.62/6.85 (define @t2731 () (tptp.hAPP @t1551 @t2729)) % 6.62/6.85 (define @t2732 () (tptp.hAPP @t2709 @t1216)) % 6.62/6.85 (define @t2733 () (tptp.hAPP @t1016 @t1193)) % 6.62/6.85 (define @t2734 () (tptp.hBOOL (tptp.hAPP @t2733 @t1211))) % 6.62/6.85 (define @t2735 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2709 @t1222) @t1211))) % 6.62/6.85 (define @t2736 () (= @t2715 @t2735)) % 6.62/6.85 (define @t2737 () (=> @t1226 @t2736)) % 6.62/6.85 (define @t2738 () (= @t1196 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t2031 @t1029)) @t2131))) % 6.62/6.85 (define @t2739 () (tptp.hBOOL (tptp.hAPP @t2132 @t1199))) % 6.62/6.85 (define @t2740 () (@list @t1029 @t2131)) % 6.62/6.85 (define @t2741 () (not @t2030)) % 6.62/6.85 (define @t2742 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t307 @t1426)) % 6.62/6.85 (define @t2743 () (tptp.hBOOL (tptp.hAPP @t1063 @t2702))) % 6.62/6.85 (define @t2744 () (@var "B_q" $$unsorted)) % 6.62/6.85 (define @t2745 () (@list @t2744)) % 6.62/6.85 (define @t2746 () (tptp.hAPP (tptp.hAPP @t2709 @t307) @t1196)) % 6.62/6.85 (define @t2747 () (@var "V_q_2" $$unsorted)) % 6.62/6.85 (define @t2748 () (tptp.hBOOL (tptp.hAPP @t2241 @t1426))) % 6.62/6.85 (define @t2749 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t2706 @t18)) @t1976)) % 6.62/6.85 (define @t2750 () (= @t74 @t81)) % 6.62/6.85 (define @t2751 () (tptp.hAPP @t974 @t269)) % 6.62/6.85 (define @t2752 () (tptp.c_Rings_Oinverse__class_Odivide @t39)) % 6.62/6.85 (define @t2753 () (tptp.hAPP @t2752 @t975)) % 6.62/6.85 (define @t2754 () (tptp.class_Fields_Ofield @t39)) % 6.62/6.85 (define @t2755 () (tptp.hAPP tptp.c_Int_Onat @t1426)) % 6.62/6.85 (define @t2756 () (tptp.hAPP @t2 @t1229)) % 6.62/6.85 (define @t2757 () (@var "V_s_2" $$unsorted)) % 6.62/6.85 (define @t2758 () (tptp.hBOOL (tptp.hAPP @t1449 @t2757))) % 6.62/6.85 (define @t2759 () (tptp.hAPP @t358 @t2757)) % 6.62/6.85 (define @t2760 () (forall @t1033 (=> (tptp.hBOOL (tptp.hAPP @t1032 @t2757)) (tptp.hBOOL (tptp.hAPP @t2208 @t1030))))) % 6.62/6.85 (define @t2761 () (tptp.hBOOL (tptp.hAPP @t42 @t2757))) % 6.62/6.85 (define @t2762 () (tptp.class_Groups_Oordered__ab__group__add @t39)) % 6.62/6.85 (define @t2763 () (tptp.c_Rings_Oinverse__class_Odivide @t372)) % 6.62/6.85 (define @t2764 () (tptp.hAPP @t2763 @t403)) % 6.62/6.85 (define @t2765 () (tptp.hAPP @t2764 @t407)) % 6.62/6.85 (define @t2766 () (= (tptp.hAPP (tptp.hAPP @t1472 @t2765) @t1211) (tptp.hAPP (tptp.hAPP @t2763 @t1489) @t1521))) % 6.62/6.85 (define @t2767 () (tptp.class_Fields_Ofield__inverse__zero @t372)) % 6.62/6.85 (define @t2768 () (tptp.class_Rings_Odivision__ring @t372)) % 6.62/6.85 (define @t2769 () (tptp.class_Rings_Odivision__ring__inverse__zero @t372)) % 6.62/6.85 (define @t2770 () (tptp.hAPP @t2763 @t844)) % 6.62/6.85 (define @t2771 () (tptp.hAPP @t834 @t2765)) % 6.62/6.85 (define @t2772 () (tptp.hAPP (tptp.hAPP @t2763 @t407) @t404)) % 6.62/6.85 (define @t2773 () (tptp.hAPP @t2764 @t404)) % 6.62/6.85 (define @t2774 () (tptp.hAPP @t2763 @t585)) % 6.62/6.85 (define @t2775 () (tptp.c_Rings_Oinverse__class_Odivide @t8)) % 6.62/6.85 (define @t2776 () (tptp.class_Fields_Ofield @t8)) % 6.62/6.85 (define @t2777 () (= @t57 @t759)) % 6.62/6.85 (define @t2778 () (tptp.hAPP @t2775 @t57)) % 6.62/6.85 (define @t2779 () (tptp.hAPP @t2778 @t82)) % 6.62/6.85 (define @t2780 () (= @t2779 @t13)) % 6.62/6.85 (define @t2781 () (= @t82 @t1985)) % 6.62/6.85 (define @t2782 () (not @t2781)) % 6.62/6.85 (define @t2783 () (tptp.class_Rings_Odivision__ring @t8)) % 6.62/6.85 (define @t2784 () (@list @t13 @t57 @t82 @t8)) % 6.62/6.85 (define @t2785 () (= @t759 @t57)) % 6.62/6.85 (define @t2786 () (= @t13 @t2779)) % 6.62/6.85 (define @t2787 () (tptp.hAPP (tptp.hAPP @t2775 @t13) @t57)) % 6.62/6.85 (define @t2788 () (tptp.hAPP @t2764 @t403)) % 6.62/6.85 (define @t2789 () (=> @t2012 (= @t2788 @t1322))) % 6.62/6.85 (define @t2790 () (= (tptp.hAPP @t2770 @t898) @t2765)) % 6.62/6.85 (define @t2791 () (= @t2771 (tptp.hAPP @t2764 @t898))) % 6.62/6.85 (define @t2792 () (tptp.class_Fields_Ofield @t372)) % 6.62/6.85 (define @t2793 () (tptp.hAPP tptp.c_Int_Onat @t2273)) % 6.62/6.85 (define @t2794 () (@var "V_z_H_2" $$unsorted)) % 6.62/6.85 (define @t2795 () (tptp.hAPP tptp.c_Int_Onat @t2794)) % 6.62/6.85 (define @t2796 () (tptp.hAPP tptp.c_Int_Onat @t142)) % 6.62/6.85 (define @t2797 () (tptp.hBOOL (tptp.hAPP @t2323 @t142))) % 6.62/6.85 (define @t2798 () (tptp.hAPP tptp.c_Int_Onat @t109)) % 6.62/6.85 (define @t2799 () (tptp.hAPP tptp.c_Int_Onat @t60)) % 6.62/6.85 (define @t2800 () (tptp.hBOOL (tptp.hAPP @t2323 @t109))) % 6.62/6.85 (define @t2801 () (tptp.hBOOL (tptp.hAPP @t2323 @t60))) % 6.62/6.85 (define @t2802 () (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 6.62/6.85 (define @t2803 () (tptp.hBOOL (tptp.hAPP @t180 @t668))) % 6.62/6.85 (define @t2804 () (forall @t669 @t2803)) % 6.62/6.85 (define @t2805 () (exists @t669 @t2803)) % 6.62/6.85 (define @t2806 () (tptp.hAPP @t2763 @t1322)) % 6.62/6.85 (define @t2807 () (tptp.hAPP tptp.c_Int_Onat @t2270)) % 6.62/6.85 (define @t2808 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2389)) % 6.62/6.85 (define @t2809 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 6.62/6.85 (define @t2810 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1443)) % 6.62/6.85 (define @t2811 () (tptp.hAPP tptp.c_Int_Onat @t2556)) % 6.62/6.85 (define @t2812 () (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2813 () (tptp.hAPP @t2812 @t2)) % 6.62/6.85 (define @t2814 () (tptp.hAPP @t2813 tptp.c_Int_Onat)) % 6.62/6.85 (define @t2815 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t8)) % 6.62/6.85 (define @t2816 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t8)) % 6.62/6.85 (define @t2817 () (and @t444 @t947)) % 6.62/6.85 (define @t2818 () (tptp.hAPP tptp.c_Int_Onat @t1229)) % 6.62/6.85 (define @t2819 () (@list @t1229)) % 6.62/6.85 (define @t2820 () (tptp.hAPP tptp.c_Int_Onat @t392)) % 6.62/6.85 (define @t2821 () (= @t2820 @t1975)) % 6.62/6.85 (define @t2822 () (tptp.hBOOL (tptp.hAPP @t2424 @t2273))) % 6.62/6.85 (define @t2823 () (tptp.hAPP tptp.c_Int_Onat @t787)) % 6.62/6.85 (define @t2824 () (tptp.hAPP @t1016 @t2823)) % 6.62/6.85 (define @t2825 () (tptp.hBOOL (tptp.hAPP @t2824 @t2796))) % 6.62/6.85 (define @t2826 () (= @t2825 @t2320)) % 6.62/6.85 (define @t2827 () (tptp.hAPP @t2312 @t60)) % 6.62/6.85 (define @t2828 () (tptp.hBOOL (tptp.hAPP @t2827 @t109))) % 6.62/6.85 (define @t2829 () (tptp.hAPP @t2264 @t2820)) % 6.62/6.85 (define @t2830 () (= @t2829 @t392)) % 6.62/6.85 (define @t2831 () (=> @t2440 @t2830)) % 6.62/6.85 (define @t2832 () (@list @t142 @t307)) % 6.62/6.85 (define @t2833 () (tptp.hAPP tptp.c_Int_Onat @t2607)) % 6.62/6.85 (define @t2834 () (tptp.hAPP tptp.c_Int_Onat @t381)) % 6.62/6.85 (define @t2835 () (tptp.hAPP tptp.c_Int_Onat @t371)) % 6.62/6.85 (define @t2836 () (tptp.hAPP (tptp.hAPP @t2709 @t2835) @t2834)) % 6.62/6.85 (define @t2837 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t8)) % 6.62/6.85 (define @t2838 () (tptp.hBOOL (tptp.hAPP @t2323 @t787))) % 6.62/6.85 (define @t2839 () (tptp.hAPP @t2268 @t60)) % 6.62/6.85 (define @t2840 () (tptp.hBOOL (tptp.hAPP @t2839 @t109))) % 6.62/6.85 (define @t2841 () (and (=> @t2838 (= @t787 @t2310)) (=> (not @t2838) @t2019))) % 6.62/6.85 (define @t2842 () (@list @t307 @t787)) % 6.62/6.85 (define @t2843 () (@list @t1229 @t180)) % 6.62/6.85 (define @t2844 () (tptp.hAPP tptp.c_Int_Onat @t2415)) % 6.62/6.85 (define @t2845 () (tptp.hBOOL (tptp.hAPP @t2323 @t2415))) % 6.62/6.85 (define @t2846 () (@list @t2415 @t392)) % 6.62/6.85 (define @t2847 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2283 @t2415))) % 6.62/6.85 (define @t2848 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2389)) % 6.62/6.85 (define @t2849 () (tptp.hAPP (tptp.hAPP @t2243 @t392) @t1211)) % 6.62/6.85 (define @t2850 () (tptp.hAPP @t1494 @t60)) % 6.62/6.85 (define @t2851 () (not @t2101)) % 6.62/6.85 (define @t2852 () (tptp.hBOOL (tptp.hAPP @t894 @t759))) % 6.62/6.85 (define @t2853 () (not @t2102)) % 6.62/6.85 (define @t2854 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t759) @t57))) % 6.62/6.85 (define @t2855 () (tptp.hBOOL (tptp.hAPP @t564 @t2779))) % 6.62/6.85 (define @t2856 () (tptp.class_Fields_Olinordered__field__inverse__zero @t8)) % 6.62/6.85 (define @t2857 () (tptp.hAPP @t424 @t2779)) % 6.62/6.85 (define @t2858 () (tptp.hBOOL (tptp.hAPP @t2857 @t13))) % 6.62/6.85 (define @t2859 () (@list @t13 @t82 @t57 @t8)) % 6.62/6.85 (define @t2860 () (tptp.class_Fields_Olinordered__field @t8)) % 6.62/6.85 (define @t2861 () (tptp.hAPP @t2763 @t371)) % 6.62/6.85 (define @t2862 () (tptp.hAPP @t2861 @t381)) % 6.62/6.85 (define @t2863 () (tptp.hAPP @t373 @t2862)) % 6.62/6.85 (define @t2864 () (tptp.hAPP @t670 @t392)) % 6.62/6.85 (define @t2865 () (tptp.hAPP @t2864 @t381)) % 6.62/6.85 (define @t2866 () (tptp.hBOOL (tptp.hAPP @t2089 @t381))) % 6.62/6.85 (define @t2867 () (tptp.class_Fields_Olinordered__field @t372)) % 6.62/6.85 (define @t2868 () (tptp.class_Fields_Olinordered__field__inverse__zero @t372)) % 6.62/6.85 (define @t2869 () (tptp.hBOOL (tptp.hAPP @t919 @t1985))) % 6.62/6.85 (define @t2870 () (tptp.hBOOL (tptp.hAPP @t2055 @t57))) % 6.62/6.85 (define @t2871 () (tptp.hBOOL (tptp.hAPP @t2089 @t2862))) % 6.62/6.85 (define @t2872 () (tptp.hBOOL (tptp.hAPP @t2089 @t371))) % 6.62/6.85 (define @t2873 () (tptp.hAPP @t680 @t2862)) % 6.62/6.85 (define @t2874 () (tptp.hBOOL (tptp.hAPP @t2873 @t1991))) % 6.62/6.85 (define @t2875 () (tptp.hBOOL (tptp.hAPP @t681 @t1991))) % 6.62/6.85 (define @t2876 () (tptp.hBOOL (tptp.hAPP @t684 @t1991))) % 6.62/6.85 (define @t2877 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t2773) @t2772))) % 6.62/6.85 (define @t2878 () (= @t142 @t1985)) % 6.62/6.85 (define @t2879 () (=> @t2781 @t1989)) % 6.62/6.85 (define @t2880 () (tptp.class_Fields_Ofield__inverse__zero @t8)) % 6.62/6.85 (define @t2881 () (tptp.hBOOL (tptp.hAPP @t2044 @t2862))) % 6.62/6.85 (define @t2882 () (tptp.hBOOL (tptp.hAPP @t2863 @t1991))) % 6.62/6.85 (define @t2883 () (tptp.hAPP @t2763 @t381)) % 6.62/6.85 (define @t2884 () (tptp.hAPP @t2883 @t2282)) % 6.62/6.85 (define @t2885 () (tptp.hAPP @t2861 @t392)) % 6.62/6.85 (define @t2886 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t2885) @t2884))) % 6.62/6.85 (define @t2887 () (tptp.hBOOL (tptp.hAPP @t2089 @t2282))) % 6.62/6.85 (define @t2888 () (@list @t392 @t2282 @t381 @t371 @t372)) % 6.62/6.85 (define @t2889 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t2282) @t392))) % 6.62/6.85 (define @t2890 () (tptp.hBOOL (tptp.hAPP @t374 @t1991))) % 6.62/6.85 (define @t2891 () (tptp.hBOOL (tptp.hAPP @t919 @t759))) % 6.62/6.85 (define @t2892 () (tptp.hBOOL (tptp.hAPP @t2104 @t57))) % 6.62/6.85 (define @t2893 () (tptp.hBOOL (tptp.hAPP @t713 @t2779))) % 6.62/6.85 (define @t2894 () (tptp.hAPP @t702 @t2779)) % 6.62/6.85 (define @t2895 () (tptp.hBOOL (tptp.hAPP @t2894 @t13))) % 6.62/6.85 (define @t2896 () (tptp.hAPP @t2763 @t404)) % 6.62/6.85 (define @t2897 () (tptp.hAPP @t2896 @t407)) % 6.62/6.85 (define @t2898 () (tptp.hAPP @t2896 @t403)) % 6.62/6.85 (define @t2899 () (=> @t2109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t2898) @t2897)))) % 6.62/6.85 (define @t2900 () (tptp.hAPP @t2050 @t392)) % 6.62/6.85 (define @t2901 () (tptp.hAPP (tptp.hAPP @t670 @t2282) @t381)) % 6.62/6.85 (define @t2902 () (tptp.hAPP (tptp.hAPP @t2763 @t2282) @t392)) % 6.62/6.85 (define @t2903 () (tptp.hAPP @t577 @t2862)) % 6.62/6.85 (define @t2904 () (not (= @t392 @t1991))) % 6.62/6.85 (define @t2905 () (not (= @t381 @t1991))) % 6.62/6.85 (define @t2906 () (@list @t2282 @t371 @t392 @t381 @t372)) % 6.62/6.85 (define @t2907 () (tptp.hAPP @t2763 (tptp.hAPP @t923 @t2865))) % 6.62/6.85 (define @t2908 () (@list @t381 @t371 @t392 @t372)) % 6.62/6.85 (define @t2909 () (tptp.hAPP @t2907 @t381)) % 6.62/6.85 (define @t2910 () (tptp.hAPP @t2864 @t371)) % 6.62/6.85 (define @t2911 () (tptp.hAPP @t2883 @t392)) % 6.62/6.85 (define @t2912 () (tptp.hAPP @t577 @t392)) % 6.62/6.85 (define @t2913 () (tptp.hAPP @t2774 @t1341)) % 6.62/6.85 (define @t2914 () (=> @t2109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t2898) @t2897)))) % 6.62/6.85 (define @t2915 () (tptp.hAPP @t2809 @t74)) % 6.62/6.85 (define @t2916 () (tptp.hAPP @t2809 @t45)) % 6.62/6.85 (define @t2917 () (tptp.hAPP (tptp.hAPP @t2808 @t45) @t74)) % 6.62/6.85 (define @t2918 () (tptp.c_Nat__Transfer_Onat__set @t74)) % 6.62/6.85 (define @t2919 () (tptp.c_Nat__Transfer_Onat__set @t45)) % 6.62/6.85 (define @t2920 () (tptp.hAPP (tptp.hAPP @t2848 @t45) @t74)) % 6.62/6.85 (define @t2921 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t8 tptp.tc_Nat_Onat) @t2) @t2264)) % 6.62/6.85 (define @t2922 () (tptp.hAPP (tptp.hAPP @t2815 @t2) @t45)) % 6.62/6.85 (define @t2923 () (tptp.hAPP @t2394 @t3)) % 6.62/6.85 (define @t2924 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2394 @t60) @t45))) % 6.62/6.85 (define @t2925 () (@list @t60 @t45)) % 6.62/6.85 (define @t2926 () (tptp.hAPP @t2837 @t2)) % 6.62/6.85 (define @t2927 () (tptp.hAPP @t2926 @t45)) % 6.62/6.85 (define @t2928 () (tptp.hAPP @t974 @t74)) % 6.62/6.85 (define @t2929 () (tptp.c_Nat__Transfer_Ois__nat @t60)) % 6.62/6.85 (define @t2930 () (tptp.c_Int_Oring__1__class_Oof__int @t372)) % 6.62/6.85 (define @t2931 () (tptp.hAPP @t2930 @t1216)) % 6.62/6.85 (define @t2932 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t1216) @t2273))) % 6.62/6.85 (define @t2933 () (tptp.hAPP @t2266 @t1216)) % 6.62/6.85 (define @t2934 () (@list @t1216 @t372)) % 6.62/6.85 (define @t2935 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2936 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t8)) % 6.62/6.85 (define @t2937 () (tptp.hAPP @t2936 @t109)) % 6.62/6.85 (define @t2938 () (tptp.hAPP @t2936 @t60)) % 6.62/6.85 (define @t2939 () (tptp.c_Int_Oring__1__class_Oof__int @t8)) % 6.62/6.85 (define @t2940 () (tptp.hAPP @t2939 @t142)) % 6.62/6.85 (define @t2941 () (tptp.hAPP @t2939 @t787)) % 6.62/6.85 (define @t2942 () (@list @t142 @t787 @t8)) % 6.62/6.85 (define @t2943 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 6.62/6.85 (define @t2944 () (tptp.c_Nat__Transfer_Ois__nat @t381)) % 6.62/6.85 (define @t2945 () (tptp.c_Nat__Transfer_Ois__nat @t371)) % 6.62/6.85 (define @t2946 () (= @t142 @t2273)) % 6.62/6.85 (define @t2947 () (@list @t142 @t8)) % 6.62/6.85 (define @t2948 () (tptp.hAPP @t2930 @t392)) % 6.62/6.85 (define @t2949 () (tptp.hAPP @t2930 @t2282)) % 6.62/6.85 (define @t2950 () (@list @t392 @t2282 @t372)) % 6.62/6.85 (define @t2951 () (@list @t392 @t372)) % 6.62/6.85 (define @t2952 () (@list @t60)) % 6.62/6.85 (define @t2953 () (tptp.hAPP @t2936 @t1199)) % 6.62/6.85 (define @t2954 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t8 @t39) @t2939) @t2)) % 6.62/6.85 (define @t2955 () (tptp.hAPP @t2936 @t1455)) % 6.62/6.85 (define @t2956 () (tptp.hAPP @t2936 @t1426)) % 6.62/6.85 (define @t2957 () (tptp.hAPP @t2228 @t1894)) % 6.62/6.85 (define @t2958 () (tptp.hAPP @t2935 @t1199)) % 6.62/6.85 (define @t2959 () (tptp.c_Groups_Ominus__class_Ominus @t1443)) % 6.62/6.85 (define @t2960 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t8) tptp.c_Int_Onat) @t2)) % 6.62/6.85 (define @t2961 () (forall @t7 (=> @t130 (tptp.c_Nat__Transfer_Ois__nat @t5)))) % 6.62/6.85 (define @t2962 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2963 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2964 () (tptp.hAPP @t179 @t3)) % 6.62/6.85 (define @t2965 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t307 @t1196)) % 6.62/6.85 (define @t2966 () (tptp.hAPP (tptp.hAPP @t2236 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t8 @t8) (tptp.hAPP (tptp.hAPP @t2253 @t274) @t2)) (tptp.hAPP @t2468 (tptp.hAPP @t1243 @t1193)))) @t2965)) % 6.62/6.85 (define @t2967 () (tptp.hAPP @t1289 @t1193)) % 6.62/6.85 (define @t2968 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1193 @t1196)) % 6.62/6.85 (define @t2969 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1455 @t1426)) % 6.62/6.85 (define @t2970 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1975 @t1196)) % 6.62/6.85 (define @t2971 () (tptp.hBOOL (tptp.hAPP @t1282 @t2970))) % 6.62/6.85 (define @t2972 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1280) @t1196))) % 6.62/6.85 (define @t2973 () (tptp.hAPP tptp.c_Nat_OSuc @t1426)) % 6.62/6.85 (define @t2974 () (not @t565)) % 6.62/6.85 (define @t2975 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t57)) % 6.62/6.85 (define @t2976 () (= @t2975 @t53)) % 6.62/6.85 (define @t2977 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t82 @t149)) % 6.62/6.85 (define @t2978 () (and @t68 @t148)) % 6.62/6.85 (define @t2979 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1229 @t1228)) % 6.62/6.85 (define @t2980 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t307 @t1879)) % 6.62/6.85 (define @t2981 () (tptp.hAPP @t2217 @t2)) % 6.62/6.85 (define @t2982 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t1455 @t1426)) % 6.62/6.85 (define @t2983 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t307 @t1426)) % 6.62/6.85 (define @t2984 () (tptp.hAPP @t1551 @t2975)) % 6.62/6.85 (define @t2985 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t1455 @t307)) % 6.62/6.85 (define @t2986 () (tptp.hAPP @t1037 @t2985)) % 6.62/6.85 (define @t2987 () (tptp.hAPP @t1551 @t2985)) % 6.62/6.85 (define @t2988 () (tptp.hAPP @t2237 @t2965)) % 6.62/6.85 (define @t2989 () (tptp.hAPP @t2 @t1879)) % 6.62/6.85 (define @t2990 () (tptp.hAPP @t587 @t2988)) % 6.62/6.85 (define @t2991 () (tptp.hAPP @t2237 @t2980)) % 6.62/6.85 (define @t2992 () (tptp.hAPP @t1016 @t1879)) % 6.62/6.85 (define @t2993 () (tptp.hBOOL (tptp.hAPP @t2992 @t307))) % 6.62/6.85 (define @t2994 () (tptp.hAPP @t2236 @t180)) % 6.62/6.85 (define @t2995 () (tptp.hAPP @t1289 @t2488)) % 6.62/6.85 (define @t2996 () (tptp.hAPP @t1037 @t2473)) % 6.62/6.85 (define @t2997 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t2998 () (tptp.hAPP @t2997 @t1894)) % 6.62/6.85 (define @t2999 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t3000 () (tptp.hAPP @t2999 @t1196)) % 6.62/6.85 (define @t3001 () (tptp.hAPP @t2497 @t3000)) % 6.62/6.85 (define @t3002 () (tptp.c_SetInterval_Oord__class_OatLeast @t8)) % 6.62/6.85 (define @t3003 () (tptp.hAPP @t3002 @t1426)) % 6.62/6.85 (define @t3004 () (tptp.hAPP @t2671 @t149)) % 6.62/6.85 (define @t3005 () (tptp.hAPP @t2297 @t3)) % 6.62/6.85 (define @t3006 () (tptp.hAPP @t2323 @t1199)) % 6.62/6.85 (define @t3007 () (tptp.hBOOL @t3006)) % 6.62/6.85 (define @t3008 () (tptp.hAPP @t2274 @t149)) % 6.62/6.85 (define @t3009 () (tptp.hBOOL @t3008)) % 6.62/6.85 (define @t3010 () (@list @t1199 @t180 @t149)) % 6.62/6.85 (define @t3011 () (@list @t371)) % 6.62/6.85 (define @t3012 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1455 @t1426)) % 6.62/6.85 (define @t3013 () (tptp.hAPP @t2999 @t1199)) % 6.62/6.85 (define @t3014 () (tptp.c_SetInterval_Oord__class_OatMost @t8)) % 6.62/6.85 (define @t3015 () (tptp.hAPP @t3014 @t109)) % 6.62/6.85 (define @t3016 () (tptp.hAPP @t3014 @t60)) % 6.62/6.85 (define @t3017 () (tptp.hAPP @t3002 @t109)) % 6.62/6.85 (define @t3018 () (tptp.hAPP @t3002 @t60)) % 6.62/6.85 (define @t3019 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t60 @t109))) % 6.62/6.85 (define @t3020 () (tptp.hAPP @t3014 @t1199)) % 6.62/6.85 (define @t3021 () (tptp.hAPP @t3002 @t1199)) % 6.62/6.85 (define @t3022 () (tptp.hAPP @t3002 @t1455)) % 6.62/6.85 (define @t3023 () (tptp.hAPP (tptp.hAPP @t2303 @t1229) @t2270)) % 6.62/6.85 (define @t3024 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1229 @t1228)) % 6.62/6.85 (define @t3025 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t1228) @t1229))) % 6.62/6.85 (define @t3026 () (tptp.hAPP @t3014 @t1426)) % 6.62/6.85 (define @t3027 () (tptp.hAPP @t3014 @t1455)) % 6.62/6.85 (define @t3028 () (tptp.hAPP @t1037 @t3027)) % 6.62/6.85 (define @t3029 () (tptp.hAPP @t1551 @t3027)) % 6.62/6.85 (define @t3030 () (tptp.hAPP @t2303 @t3)) % 6.62/6.85 (define @t3031 () (tptp.hAPP @t3030 @t502)) % 6.62/6.85 (define @t3032 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t3) @t29))) % 6.62/6.85 (define @t3033 () (@var "B_xb" $$unsorted)) % 6.62/6.85 (define @t3034 () (tptp.hAPP @t2394 @t3033)) % 6.62/6.85 (define @t3035 () (@list @t3033)) % 6.62/6.85 (define @t3036 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2270 @t502)) % 6.62/6.85 (define @t3037 () (tptp.hAPP @t2394 @t453)) % 6.62/6.85 (define @t3038 () (tptp.hBOOL (tptp.hAPP @t3037 @t3036))) % 6.62/6.85 (define @t3039 () (forall @t458 (=> @t3038 (forall @t3035 (=> (tptp.hBOOL (tptp.hAPP @t3034 @t45)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t2297 @t3033) @t453)))))))) % 6.62/6.85 (define @t3040 () (tptp.hAPP @t2303 @t29)) % 6.62/6.85 (define @t3041 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2394 (tptp.hAPP @t3040 @t2270)) @t45))) % 6.62/6.85 (define @t3042 () (tptp.hBOOL (tptp.hAPP @t2274 @t502))) % 6.62/6.85 (define @t3043 () (@list @t45 @t29 @t502)) % 6.62/6.85 (define @t3044 () (tptp.hAPP @t3005 @t502)) % 6.62/6.85 (define @t3045 () (tptp.hAPP @t2312 @t29)) % 6.62/6.85 (define @t3046 () (tptp.hBOOL (tptp.hAPP @t3045 @t3))) % 6.62/6.85 (define @t3047 () (forall @t458 (=> @t3038 (forall @t3035 (=> (tptp.hBOOL (tptp.hAPP @t3034 @t74)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t2303 @t3033) @t453)))))))) % 6.62/6.85 (define @t3048 () (tptp.hAPP @t2297 @t29)) % 6.62/6.85 (define @t3049 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2394 (tptp.hAPP @t3048 @t2270)) @t74))) % 6.62/6.85 (define @t3050 () (@list @t74 @t29 @t502)) % 6.62/6.85 (define @t3051 () (not (= @t3 @t29))) % 6.62/6.85 (define @t3052 () (tptp.hAPP @t2394 @t29)) % 6.62/6.85 (define @t3053 () (tptp.hBOOL (tptp.hAPP @t3052 @t45))) % 6.62/6.85 (define @t3054 () (tptp.hBOOL (tptp.hAPP @t3052 @t74))) % 6.62/6.85 (define @t3055 () (tptp.hAPP @t2268 @t29)) % 6.62/6.85 (define @t3056 () (tptp.hBOOL (tptp.hAPP @t3055 @t3))) % 6.62/6.85 (define @t3057 () (tptp.hBOOL (tptp.hAPP @t2923 @t3036))) % 6.62/6.85 (define @t3058 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3) @t29))) % 6.62/6.85 (define @t3059 () (@list @t29 @t74 @t502)) % 6.62/6.85 (define @t3060 () (@list @t29 @t45 @t502)) % 6.62/6.85 (define @t3061 () (@list @t3 @t1245)) % 6.62/6.85 (define @t3062 () (tptp.hAPP @t1144 @t1029)) % 6.62/6.85 (define @t3063 () (tptp.hBOOL @t1379)) % 6.62/6.85 (define @t3064 () (tptp.hBOOL (tptp.hAPP @t1978 @t2315))) % 6.62/6.85 (define @t3065 () (forall @t7 (=> @t1543 @t2126))) % 6.62/6.85 (define @t3066 () (tptp.hAPP @t2018 @t2218)) % 6.62/6.85 (define @t3067 () (tptp.c_Set_OPow @t8)) % 6.62/6.85 (define @t3068 () (tptp.hAPP @t3067 @t45)) % 6.62/6.85 (define @t3069 () (tptp.c_Finite__Set_Ocard @t52)) % 6.62/6.85 (define @t3070 () (tptp.hAPP @t2216 tptp.c_Nat_OSuc)) % 6.62/6.85 (define @t3071 () (tptp.hAPP @t1397 @t1196)) % 6.62/6.85 (define @t3072 () (tptp.hAPP @t1397 @t1879)) % 6.62/6.85 (define @t3073 () (tptp.hAPP @t3067 @t74)) % 6.62/6.85 (define @t3074 () (tptp.hAPP @t1828 @t45)) % 6.62/6.85 (define @t3075 () (tptp.hBOOL (tptp.hAPP @t3074 @t3073))) % 6.62/6.85 (define @t3076 () (tptp.c_Finite__Set_Ofinite @t52)) % 6.62/6.85 (define @t3077 () (tptp.hAPP (tptp.c_Set_Oimage @t80 @t52 @t55) (tptp.hAPP (tptp.c_Set_OPow @t39) @t45))) % 6.62/6.85 (define @t3078 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 @t1898 @t39) @t3067) @t74)) % 6.62/6.85 (define @t3079 () (@var "V_f2_2" $$unsorted)) % 6.62/6.85 (define @t3080 () (@list @t3079 @t169 @t8)) % 6.62/6.85 (define @t3081 () (tptp.hAPP @t3079 @t1867)) % 6.62/6.85 (define @t3082 () (@list @t1867 @t3079 @t169 @t8)) % 6.62/6.85 (define @t3083 () (tptp.hAPP @t1909 @t3068)) % 6.62/6.85 (define @t3084 () (tptp.hAPP @t1393 @t1196)) % 6.62/6.85 (define @t3085 () (tptp.hAPP @t1393 @t1879)) % 6.62/6.85 (define @t3086 () (tptp.hAPP @t1828 @t60)) % 6.62/6.85 (define @t3087 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t3088 () (@var "B_z" $$unsorted)) % 6.62/6.85 (define @t3089 () (@list @t3088)) % 6.62/6.85 (define @t3090 () (forall @t7 (=> @t2382 @t6))) % 6.62/6.85 (define @t3091 () (@list @t1 @t2 @t74 @t45 @t8)) % 6.62/6.85 (define @t3092 () (tptp.hBOOL (tptp.hAPP @t2669 @t2131))) % 6.62/6.85 (define @t3093 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1196 @t1199)) % 6.62/6.85 (define @t3094 () (tptp.hBOOL (tptp.hAPP @t2677 @t3093))) % 6.62/6.85 (define @t3095 () (@list @t1196 @t180 @t1199)) % 6.62/6.85 (define @t3096 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t371 @t793)) % 6.62/6.85 (define @t3097 () (@list @t381 @t793 @t371)) % 6.62/6.85 (define @t3098 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2576 @t793)) % 6.62/6.85 (define @t3099 () (tptp.c_Divides_Odiv__class_Omod @t372 @t623 @t404)) % 6.62/6.85 (define @t3100 () (tptp.c_Divides_Odiv__class_Omod @t372 @t407 @t404)) % 6.62/6.85 (define @t3101 () (= @t3100 (tptp.c_Divides_Odiv__class_Omod @t372 @t2530 @t404))) % 6.62/6.85 (define @t3102 () (tptp.c_Divides_Odiv__class_Omod @t372 @t403 @t404)) % 6.62/6.85 (define @t3103 () (= @t3102 (tptp.c_Divides_Odiv__class_Omod @t372 @t2653 @t404))) % 6.62/6.85 (define @t3104 () (tptp.class_Divides_Oring__div @t372)) % 6.62/6.85 (define @t3105 () (@list @t2530 @t407 @t2653 @t404 @t403 @t372)) % 6.62/6.85 (define @t3106 () (tptp.hAPP @t618 @t3102)) % 6.62/6.85 (define @t3107 () (tptp.hAPP @t2523 @t407)) % 6.62/6.85 (define @t3108 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3107 @t404)) % 6.62/6.85 (define @t3109 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t407 @t404)) % 6.62/6.85 (define @t3110 () (tptp.hAPP @t2523 @t3109)) % 6.62/6.85 (define @t3111 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3110 @t404)) % 6.62/6.85 (define @t3112 () (tptp.c_Divides_Odiv__class_Omod @t372 @t585 @t404)) % 6.62/6.85 (define @t3113 () (tptp.hAPP @t577 @t3102)) % 6.62/6.85 (define @t3114 () (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP @t3113 @t407) @t404)) % 6.62/6.85 (define @t3115 () (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP @t583 @t3100) @t404)) % 6.62/6.85 (define @t3116 () (tptp.c_Divides_Odiv__class_Omod @t372 @t403 @t407)) % 6.62/6.85 (define @t3117 () (tptp.c_Divides_Odiv__class_Omod @t372 @t844 @t407)) % 6.62/6.85 (define @t3118 () (tptp.c_Divides_Odiv__class_Omod @t372 @t674 @t404)) % 6.62/6.85 (define @t3119 () (tptp.hAPP @t670 @t3102)) % 6.62/6.85 (define @t3120 () (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP @t3119 @t407) @t404)) % 6.62/6.85 (define @t3121 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t403 @t407)) % 6.62/6.85 (define @t3122 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2598 @t407)) % 6.62/6.85 (define @t3123 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t403 @t2597)) % 6.62/6.85 (define @t3124 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t371 @t381)) % 6.62/6.85 (define @t3125 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3121) @t407))) % 6.62/6.85 (define @t3126 () (@list @t403 @t407)) % 6.62/6.85 (define @t3127 () (tptp.hBOOL (tptp.hAPP @t2558 @t3121))) % 6.62/6.85 (define @t3128 () (@list @t149 @t307)) % 6.62/6.85 (define @t3129 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1216 @t1208)) % 6.62/6.85 (define @t3130 () (not (= @t3129 @t2273))) % 6.62/6.85 (define @t3131 () (@list @t1208 @t1216)) % 6.62/6.85 (define @t3132 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1216 @t2691)) % 6.62/6.85 (define @t3133 () (tptp.hAPP @t2584 @t407)) % 6.62/6.85 (define @t3134 () (tptp.hAPP @t3133 @t404)) % 6.62/6.85 (define @t3135 () (tptp.hAPP @t2303 @t403)) % 6.62/6.85 (define @t3136 () (tptp.hAPP @t3135 @t407)) % 6.62/6.85 (define @t3137 () (tptp.hAPP (tptp.hAPP @t670 @t2623) @t407)) % 6.62/6.85 (define @t3138 () (tptp.hAPP (tptp.hAPP @t577 (tptp.hAPP @t671 @t2623)) @t3116)) % 6.62/6.85 (define @t3139 () (tptp.hAPP (tptp.hAPP @t577 @t3137) @t3116)) % 6.62/6.85 (define @t3140 () (= @t3121 @t403)) % 6.62/6.85 (define @t3141 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t3121) @t2273))) % 6.62/6.85 (define @t3142 () (tptp.hBOOL (tptp.hAPP @t2323 @t3121))) % 6.62/6.85 (define @t3143 () (= @t3121 @t2273)) % 6.62/6.85 (define @t3144 () (not @t3143)) % 6.62/6.85 (define @t3145 () (tptp.hAPP @t2297 @t407)) % 6.62/6.85 (define @t3146 () (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2543 @t2596)) @t3121)) % 6.62/6.85 (define @t3147 () (tptp.hAPP @t3135 @t1216)) % 6.62/6.85 (define @t3148 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t793 @t1211)) % 6.62/6.85 (define @t3149 () (tptp.hAPP @t2297 @t793)) % 6.62/6.85 (define @t3150 () (tptp.hAPP (tptp.hAPP @t2584 @t793) @t1211)) % 6.62/6.85 (define @t3151 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t3136) @t2273))) % 6.62/6.85 (define @t3152 () (@var "V_q_1" $$unsorted)) % 6.62/6.85 (define @t3153 () (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2543 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1471 @t404))) @t2120)) % 6.62/6.85 (define @t3154 () (@list @t1471 @t2120 @t407 @t404)) % 6.62/6.85 (define @t3155 () (@list @t1471 @t407 @t2120 @t404)) % 6.62/6.85 (define @t3156 () (tptp.hBOOL (tptp.hAPP @t180 @t2131))) % 6.62/6.85 (define @t3157 () (tptp.hAPP @t2266 @t2596)) % 6.62/6.85 (define @t3158 () (tptp.hAPP (tptp.hAPP @t2297 @t3157) @t2270)) % 6.62/6.85 (define @t3159 () (not (= @t407 @t2273))) % 6.62/6.85 (define @t3160 () (tptp.c_SMT_Oz3mod @t1216 @t1208)) % 6.62/6.85 (define @t3161 () (tptp.c_Groups_Osgn__class_Osgn @t372 @t403)) % 6.62/6.85 (define @t3162 () (tptp.c_Groups_Osgn__class_Osgn @t8 @t13)) % 6.62/6.85 (define @t3163 () (tptp.c_Groups_Osgn__class_Osgn @t372 @t371)) % 6.62/6.85 (define @t3164 () (= @t371 @t1991)) % 6.62/6.85 (define @t3165 () (tptp.class_Groups_Osgn__if @t372)) % 6.62/6.85 (define @t3166 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t793 @t1211)) % 6.62/6.85 (define @t3167 () (=> @t1214 (= @t3166 @t793))) % 6.62/6.85 (define @t3168 () (tptp.hAPP tptp.c_Nat_OSuc @t3166)) % 6.62/6.85 (define @t3169 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1854 @t1211)) % 6.62/6.85 (define @t3170 () (tptp.hAPP @t1144 @t3166)) % 6.62/6.85 (define @t3171 () (= @t3168 @t1211)) % 6.62/6.85 (define @t3172 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1222 @t1211)) % 6.62/6.85 (define @t3173 () (= @t3166 @t3172)) % 6.62/6.85 (define @t3174 () (=> @t1226 @t3173)) % 6.62/6.85 (define @t3175 () (tptp.hAPP (tptp.hAPP @t1223 @t1307) @t793)) % 6.62/6.85 (define @t3176 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t371 @t381)) % 6.62/6.85 (define @t3177 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t403 @t407)) % 6.62/6.85 (define @t3178 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t407 @t404)) % 6.62/6.85 (define @t3179 () (tptp.hAPP (tptp.hAPP @t2709 @t407) @t404)) % 6.62/6.85 (define @t3180 () (tptp.hAPP (tptp.hAPP @t1223 @t403) @t407)) % 6.62/6.85 (define @t3181 () (tptp.hAPP @t1302 @t403)) % 6.62/6.85 (define @t3182 () (tptp.hAPP @t3181 @t407)) % 6.62/6.85 (define @t3183 () (tptp.hAPP @t1221 @t3166)) % 6.62/6.85 (define @t3184 () (tptp.hAPP (tptp.hAPP @t1302 @t2715) @t1211)) % 6.62/6.85 (define @t3185 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t2712 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1471 @t404))) @t2120)) % 6.62/6.85 (define @t3186 () (tptp.hBOOL (tptp.hAPP @t1978 @t404))) % 6.62/6.85 (define @t3187 () (tptp.hAPP tptp.c_Int_Onat @t3124)) % 6.62/6.85 (define @t3188 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2835 @t2834)) % 6.62/6.85 (define @t3189 () (tptp.hAPP @t2266 @t2270)) % 6.62/6.85 (define @t3190 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1261)) % 6.62/6.85 (define @t3191 () (tptp.hBOOL (tptp.hAPP @t2274 @t1261))) % 6.62/6.85 (define @t3192 () (= @t1261 @t2273)) % 6.62/6.85 (define @t3193 () (@list @t1261)) % 6.62/6.85 (define @t3194 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 6.62/6.85 (define @t3195 () (tptp.hAPP (tptp.hAPP @t2246 (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t3194 (tptp.hAPP @t2575 @t392))) @t2270)) @t608)) % 6.62/6.85 (define @t3196 () (tptp.hBOOL (tptp.hAPP @t2274 @t608))) % 6.62/6.85 (define @t3197 () (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t45)) % 6.62/6.85 (define @t3198 () (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t447)) % 6.62/6.85 (define @t3199 () (tptp.hBOOL (tptp.hAPP @t1826 @t3198))) % 6.62/6.85 (define @t3200 () (tptp.c_Groups_Oabs__class_Oabs @t8)) % 6.62/6.85 (define @t3201 () (tptp.hAPP (tptp.hAPP @t727 @t3200) @t2)) % 6.62/6.85 (define @t3202 () (tptp.hAPP (tptp.hAPP @t436 @t3201) @t45)) % 6.62/6.85 (define @t3203 () (tptp.class_Groups_Oordered__ab__group__add__abs @t8)) % 6.62/6.85 (define @t3204 () (tptp.c_Groups_Oabs__class_Oabs @t372)) % 6.62/6.85 (define @t3205 () (tptp.hAPP @t3204 @t941)) % 6.62/6.85 (define @t3206 () (tptp.hAPP @t3204 @t623)) % 6.62/6.85 (define @t3207 () (tptp.class_Groups_Oordered__ab__group__add__abs @t372)) % 6.62/6.85 (define @t3208 () (tptp.hAPP @t3204 @t403)) % 6.62/6.85 (define @t3209 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t3208) @t407))) % 6.62/6.85 (define @t3210 () (tptp.hAPP @t1472 @t3208)) % 6.62/6.85 (define @t3211 () (tptp.hAPP @t3210 @t1211)) % 6.62/6.85 (define @t3212 () (tptp.hAPP @t3204 @t1489)) % 6.62/6.85 (define @t3213 () (tptp.hAPP @t3204 @t407)) % 6.62/6.85 (define @t3214 () (tptp.hAPP @t670 @t3208)) % 6.62/6.85 (define @t3215 () (tptp.hAPP @t3214 @t3213)) % 6.62/6.85 (define @t3216 () (= (tptp.hAPP @t3204 @t674) @t3215)) % 6.62/6.85 (define @t3217 () (tptp.hAPP (tptp.hAPP @t577 @t3208) @t3213)) % 6.62/6.85 (define @t3218 () (tptp.hAPP @t3200 @t13)) % 6.62/6.85 (define @t3219 () (= (tptp.hAPP @t3204 @t2765) (tptp.hAPP (tptp.hAPP @t2763 @t3208) @t3213))) % 6.62/6.85 (define @t3220 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t80 @t52)) % 6.62/6.85 (define @t3221 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t52 @t52)) % 6.62/6.85 (define @t3222 () (tptp.hAPP @t3221 @t74)) % 6.62/6.85 (define @t3223 () (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t74)) % 6.62/6.85 (define @t3224 () (tptp.c_Complete__Lattice_OSup__class_OSup @t80 @t45)) % 6.62/6.85 (define @t3225 () (tptp.hAPP (tptp.hAPP @t1692 @t3224) @t74)) % 6.62/6.85 (define @t3226 () (tptp.c_COMBC @t80 @t1714 @t52)) % 6.62/6.85 (define @t3227 () (tptp.hAPP @t3220 @t45)) % 6.62/6.85 (define @t3228 () (tptp.hAPP @t3227 (tptp.hAPP (tptp.hAPP @t3226 @t1692) @t74))) % 6.62/6.85 (define @t3229 () (tptp.hAPP @t424 @t3218)) % 6.62/6.85 (define @t3230 () (= @t3208 @t403)) % 6.62/6.85 (define @t3231 () (not @t1989)) % 6.62/6.85 (define @t3232 () (tptp.hAPP @t680 @t3208)) % 6.62/6.85 (define @t3233 () (tptp.hAPP (tptp.hAPP @t618 @t3208) @t3213)) % 6.62/6.85 (define @t3234 () (tptp.hAPP @t373 @t3233)) % 6.62/6.85 (define @t3235 () (tptp.hAPP @t373 @t844)) % 6.62/6.85 (define @t3236 () (tptp.hBOOL (tptp.hAPP @t3235 @t407))) % 6.62/6.85 (define @t3237 () (tptp.hAPP (tptp.hAPP @t2246 @t793) @t1211)) % 6.62/6.85 (define @t3238 () (tptp.hAPP @t1551 @t3)) % 6.62/6.85 (define @t3239 () (@list @t45 @t447 @t8)) % 6.62/6.85 (define @t3240 () (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t45)) % 6.62/6.85 (define @t3241 () (tptp.hAPP @t3204 @t371)) % 6.62/6.85 (define @t3242 () (tptp.hAPP @t1902 @t45)) % 6.62/6.85 (define @t3243 () (tptp.hBOOL (tptp.hAPP @t3076 @t45))) % 6.62/6.85 (define @t3244 () (tptp.hBOOL (tptp.hAPP @t42 @t3240))) % 6.62/6.85 (define @t3245 () (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t1981)) % 6.62/6.85 (define @t3246 () (= @t3208 @t844)) % 6.62/6.85 (define @t3247 () (=> @t2097 @t3246)) % 6.62/6.85 (define @t3248 () (tptp.hAPP @t3194 @t1261)) % 6.62/6.85 (define @t3249 () (tptp.hBOOL (tptp.hAPP @t2277 @t2273))) % 6.62/6.85 (define @t3250 () (tptp.hAPP @t3194 @t371)) % 6.62/6.85 (define @t3251 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t80 @t52) @t45) (tptp.hAPP (tptp.hAPP @t3226 @t1842) @t74))) % 6.62/6.85 (define @t3252 () (tptp.hAPP (tptp.hAPP @t1842 @t3224) @t74)) % 6.62/6.85 (define @t3253 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3194 @t381))) % 6.62/6.85 (define @t3254 () (tptp.hAPP tptp.c_Int_Onat @t3250)) % 6.62/6.85 (define @t3255 () (@list @t289)) % 6.62/6.85 (define @t3256 () (@var "B_X" $$unsorted)) % 6.62/6.85 (define @t3257 () (tptp.hAPP @t1828 @t3256)) % 6.62/6.85 (define @t3258 () (@list @t3256)) % 6.62/6.85 (define @t3259 () (= @t1030 @t1199)) % 6.62/6.85 (define @t3260 () (tptp.hBOOL (tptp.hAPP @t3062 @t1196))) % 6.62/6.85 (define @t3261 () (tptp.hBOOL (tptp.hAPP @t2638 @t2235))) % 6.62/6.85 (define @t3262 () (tptp.hAPP @t1223 @t1029)) % 6.62/6.85 (define @t3263 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 (tptp.hAPP @t3194 (tptp.hAPP (tptp.hAPP @t2297 (tptp.hAPP @t2 (tptp.hAPP @t3262 @t1193))) @t1030))) @t2270))) % 6.62/6.85 (define @t3264 () (tptp.hAPP @t1016 @t1029)) % 6.62/6.85 (define @t3265 () (tptp.hBOOL (tptp.hAPP @t3264 @t1196))) % 6.62/6.85 (define @t3266 () (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t199)) % 6.62/6.85 (define @t3267 () (tptp.c_Nitpick_Onat__gcd @t371 @t381)) % 6.62/6.85 (define @t3268 () (@var "B_M" $$unsorted)) % 6.62/6.85 (define @t3269 () (tptp.hAPP (tptp.hAPP @t1906 @t60) @t37)) % 6.62/6.85 (define @t3270 () (@var "B_c2" $$unsorted)) % 6.62/6.85 (define @t3271 () (@var "B_c1" $$unsorted)) % 6.62/6.85 (define @t3272 () (@var "B_c" $$unsorted)) % 6.62/6.85 (define @t3273 () (= @t381 @t1975)) % 6.62/6.85 (define @t3274 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t3275 () (tptp.hAPP @t3274 @t1016)) % 6.62/6.85 (define @t3276 () (tptp.c_COMBC tptp.tc_Nat_Onat @t1443 tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t3277 () (tptp.hAPP @t3276 @t1281)) % 6.62/6.85 (define @t3278 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t218 tptp.tc_Nat_Onat) tptp.c_fconj)) % 6.62/6.85 (define @t3279 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t3280 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t3281 () (tptp.hAPP @t2225 (tptp.hAPP @t3280 (tptp.hAPP (tptp.hAPP @t3279 (tptp.hAPP @t3278 (tptp.hAPP @t3277 @t662))) (tptp.hAPP @t3275 @t2460))))) % 6.62/6.85 (define @t3282 () (tptp.hAPP @t3275 @t1229)) % 6.62/6.85 (define @t3283 () (tptp.tc_fun @t1443 tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t3284 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3283 tptp.tc_Nat_Onat) @t1281)) % 6.62/6.85 (define @t3285 () (tptp.hAPP @t3276 (tptp.hAPP @t3284 tptp.c_Nat_OSuc))) % 6.62/6.85 (define @t3286 () (tptp.hAPP @t2225 (tptp.hAPP @t3280 (tptp.hAPP (tptp.hAPP @t3279 (tptp.hAPP @t3278 (tptp.hAPP @t3285 @t662))) @t3282)))) % 6.62/6.85 (define @t3287 () (tptp.hAPP @t1281 @t1975)) % 6.62/6.85 (define @t3288 () (tptp.hBOOL (tptp.hAPP @t3287 @t662))) % 6.62/6.85 (define @t3289 () (@list @t1229 @t662)) % 6.62/6.85 (define @t3290 () (tptp.c_Set_OCollect @t8)) % 6.62/6.85 (define @t3291 () (tptp.hAPP @t3290 @t180)) % 6.62/6.85 (define @t3292 () (tptp.hBOOL (tptp.hAPP @t66 @t3291))) % 6.62/6.85 (define @t3293 () (tptp.hBOOL (tptp.hAPP @t180 @t13))) % 6.62/6.85 (define @t3294 () (@list @t8 @t13 @t180)) % 6.62/6.85 (define @t3295 () (tptp.hAPP @t342 @t180)) % 6.62/6.85 (define @t3296 () (tptp.hAPP @t344 @t3295)) % 6.62/6.85 (define @t3297 () (tptp.hAPP @t3290 (tptp.hAPP @t3296 @t179))) % 6.62/6.85 (define @t3298 () (tptp.hAPP @t3290 @t179)) % 6.62/6.85 (define @t3299 () (tptp.hBOOL (tptp.hAPP @t42 @t3298))) % 6.62/6.85 (define @t3300 () (tptp.hBOOL (tptp.hAPP @t42 @t3291))) % 6.62/6.85 (define @t3301 () (@list @t179 @t180 @t8)) % 6.62/6.85 (define @t3302 () (tptp.hAPP @t341 tptp.c_fdisj)) % 6.62/6.85 (define @t3303 () (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t3302 @t180)) @t179))) % 6.62/6.85 (define @t3304 () (@list @t180 @t13 @t8)) % 6.62/6.85 (define @t3305 () (tptp.c_COMBK tptp.tc_HOL_Obool @t8)) % 6.62/6.85 (define @t3306 () (tptp.hAPP @t3305 tptp.c_fFalse)) % 6.62/6.85 (define @t3307 () (not @t1080)) % 6.62/6.85 (define @t3308 () (forall @t7 @t3307)) % 6.62/6.85 (define @t3309 () (@list @t180 @t8)) % 6.62/6.85 (define @t3310 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t8)) % 6.62/6.85 (define @t3311 () (tptp.hAPP @t3310 tptp.c_fNot)) % 6.62/6.85 (define @t3312 () (tptp.hAPP @t341 tptp.c_fimplies)) % 6.62/6.85 (define @t3313 () (tptp.hAPP @t826 @t3291)) % 6.62/6.85 (define @t3314 () (tptp.hAPP @t3311 @t180)) % 6.62/6.85 (define @t3315 () (tptp.hAPP @t3290 @t3314)) % 6.62/6.85 (define @t3316 () (tptp.c_COMBB @t39 tptp.tc_HOL_Obool @t8)) % 6.62/6.85 (define @t3317 () (tptp.c_Set_OCollect @t39)) % 6.62/6.85 (define @t3318 () (tptp.hAPP @t3317 @t180)) % 6.62/6.85 (define @t3319 () (@list @t180 @t2 @t39 @t8)) % 6.62/6.85 (define @t3320 () (tptp.hAPP @t3290 (tptp.hAPP @t345 @t2199))) % 6.62/6.85 (define @t3321 () (tptp.hAPP @t1552 @t3291)) % 6.62/6.85 (define @t3322 () (tptp.hAPP @t3290 @t325)) % 6.62/6.85 (define @t3323 () (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t342 @t1390)) @t180))) % 6.62/6.85 (define @t3324 () (not @t3293)) % 6.62/6.85 (define @t3325 () (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t342 @t325)) @t180))) % 6.62/6.85 (define @t3326 () (tptp.hAPP @t338 @t200)) % 6.62/6.85 (define @t3327 () (tptp.hAPP @t344 (tptp.hAPP @t342 @t203))) % 6.62/6.85 (define @t3328 () (tptp.hAPP @t1763 @t3290)) % 6.62/6.85 (define @t3329 () (tptp.c_COMBB tptp.tc_HOL_Obool @t218 @t39)) % 6.62/6.85 (define @t3330 () (tptp.hAPP @t3329 tptp.c_fconj)) % 6.62/6.85 (define @t3331 () (tptp.c_COMBS @t39 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t3332 () (tptp.hAPP @t1650 @t3317)) % 6.62/6.85 (define @t3333 () (tptp.hAPP @t3332 (tptp.hAPP (tptp.hAPP @t1650 (tptp.hAPP @t3331 (tptp.hAPP @t3330 (tptp.hAPP @t1649 @t1540)))) @t200))) % 6.62/6.85 (define @t3334 () (tptp.tc_fun @t80 @t125)) % 6.62/6.85 (define @t3335 () (tptp.tc_fun @t39 @t125)) % 6.62/6.85 (define @t3336 () (tptp.c_COMBB @t3335 @t3334 @t8)) % 6.62/6.85 (define @t3337 () (tptp.c_COMBS @t8 @t80 @t125)) % 6.62/6.85 (define @t3338 () (tptp.hAPP @t3337 (tptp.hAPP (tptp.hAPP @t3336 @t647) @t2))) % 6.62/6.85 (define @t3339 () (tptp.hBOOL (tptp.hAPP @t41 @t1540))) % 6.62/6.85 (define @t3340 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t39)) % 6.62/6.85 (define @t3341 () (tptp.hAPP @t1583 @t199)) % 6.62/6.85 (define @t3342 () (tptp.c_Set_Oimage @t8 @t125 @t2)) % 6.62/6.85 (define @t3343 () (tptp.hAPP (tptp.c_COMBB @t80 tptp.tc_Nat_Onat @t8) @t1147)) % 6.62/6.85 (define @t3344 () (tptp.hAPP @t3326 @t3)) % 6.62/6.85 (define @t3345 () (tptp.tc_fun @t473 @t52)) % 6.62/6.85 (define @t3346 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 @t3345 @t8) (tptp.c_COMBB @t8 tptp.tc_HOL_Obool @t8)) tptp.c_fequal)) % 6.62/6.85 (define @t3347 () (tptp.hAPP (tptp.c_COMBC @t8 @t473 @t52) @t3346)) % 6.62/6.85 (define @t3348 () (tptp.tc_fun @t8 @t218)) % 6.62/6.85 (define @t3349 () (tptp.hAPP (tptp.c_COMBB @t52 @t3348 @t8) @t342)) % 6.62/6.85 (define @t3350 () (tptp.hAPP (tptp.c_COMBB @t3348 @t294 @t8) @t344)) % 6.62/6.85 (define @t3351 () (tptp.c_HOL_OEx @t8)) % 6.62/6.85 (define @t3352 () (tptp.hAPP @t216 @t3351)) % 6.62/6.85 (define @t3353 () (tptp.hAPP (tptp.c_COMBB @t218 @t294 @t8) @t3310)) % 6.62/6.85 (define @t3354 () (tptp.hAPP @t213 (tptp.hAPP @t3353 @t343))) % 6.62/6.85 (define @t3355 () (tptp.hAPP @t3354 @t2199)) % 6.62/6.85 (define @t3356 () (tptp.tc_fun @t8 @t52)) % 6.62/6.85 (define @t3357 () (tptp.hAPP (tptp.c_COMBC @t8 @t1679 @t3356) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3345 (tptp.tc_fun @t1679 @t3356) @t8) (tptp.c_COMBB @t473 @t52 @t8)) @t3346))) % 6.62/6.85 (define @t3358 () (tptp.tc_fun @t8 @t3348)) % 6.62/6.85 (define @t3359 () (tptp.hAPP (tptp.c_COMBB @t3356 @t3358 @t8) @t3349)) % 6.62/6.85 (define @t3360 () (tptp.tc_fun @t8 @t294)) % 6.62/6.85 (define @t3361 () (tptp.hAPP (tptp.c_COMBB @t3358 @t3360 @t8) @t3350)) % 6.62/6.85 (define @t3362 () (tptp.hAPP (tptp.c_COMBB @t3360 (tptp.tc_fun @t3356 @t3356) @t8) (tptp.c_COMBS @t8 @t52 @t52))) % 6.62/6.85 (define @t3363 () (tptp.c_COMBC @t8 @t3356 @t3356)) % 6.62/6.85 (define @t3364 () (tptp.hAPP (tptp.c_COMBB @t3356 @t52 @t8) @t3352)) % 6.62/6.85 (define @t3365 () (tptp.c_Set_OCollect @t52)) % 6.62/6.85 (define @t3366 () (tptp.hAPP @t3365 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t52 @t52 tptp.tc_HOL_Obool) @t350) @t45))) % 6.62/6.85 (define @t3367 () (tptp.c_COMBB @t1898 tptp.tc_HOL_Obool @t52)) % 6.62/6.85 (define @t3368 () (tptp.c_COMBB @t52 tptp.tc_HOL_Obool @t52)) % 6.62/6.85 (define @t3369 () (tptp.c_COMBB tptp.tc_HOL_Obool @t218 @t52)) % 6.62/6.85 (define @t3370 () (tptp.hAPP @t3369 tptp.c_fconj)) % 6.62/6.85 (define @t3371 () (tptp.tc_fun @t52 @t218)) % 6.62/6.85 (define @t3372 () (tptp.hAPP (tptp.c_COMBB @t1898 @t3371 @t52) @t3370)) % 6.62/6.85 (define @t3373 () (tptp.c_COMBS @t52 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t3374 () (tptp.tc_fun @t1898 @t1898)) % 6.62/6.85 (define @t3375 () (tptp.hAPP (tptp.c_COMBB @t3371 @t3374 @t52) @t3373)) % 6.62/6.85 (define @t3376 () (tptp.c_COMBC @t52 @t1898 @t1898)) % 6.62/6.85 (define @t3377 () (tptp.c_HOL_OEx @t52)) % 6.62/6.85 (define @t3378 () (tptp.tc_fun @t388 @t52)) % 6.62/6.85 (define @t3379 () (tptp.c_COMBB @t52 tptp.tc_HOL_Obool @t39)) % 6.62/6.85 (define @t3380 () (tptp.hAPP @t3379 @t3351)) % 6.62/6.85 (define @t3381 () (@list @t2 @t39 @t180 @t8)) % 6.62/6.85 (define @t3382 () (tptp.c_COMBC @t39 @t8 tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t3383 () (tptp.hAPP @t3382 @t179)) % 6.62/6.85 (define @t3384 () (tptp.hAPP @t180 @t206)) % 6.62/6.85 (define @t3385 () (tptp.hBOOL @t3384)) % 6.62/6.85 (define @t3386 () (tptp.c_COMBB tptp.tc_HOL_Obool @t218 tptp.tc_Int_Oint)) % 6.62/6.85 (define @t3387 () (tptp.hAPP @t3386 tptp.c_fconj)) % 6.62/6.85 (define @t3388 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t3389 () (tptp.hAPP @t3388 (tptp.hAPP @t3387 @t2323))) % 6.62/6.85 (define @t3390 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 6.62/6.85 (define @t3391 () (tptp.hAPP @t3390 (tptp.hAPP @t3389 @t180))) % 6.62/6.85 (define @t3392 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.62/6.85 (define @t3393 () (tptp.hAPP @t587 @t1199)) % 6.62/6.85 (define @t3394 () (tptp.hAPP @t3290 (tptp.hAPP @t3352 (tptp.hAPP (tptp.hAPP @t213 (tptp.hAPP @t3350 (tptp.hAPP @t3349 (tptp.hAPP @t3347 @t3393)))) (tptp.hAPP @t202 @t221))))) % 6.62/6.85 (define @t3395 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t8)) % 6.62/6.85 (define @t3396 () (@list @t1199 @t221 @t8)) % 6.62/6.85 (define @t3397 () (tptp.class_Lattices_Odistrib__lattice @t8)) % 6.62/6.85 (define @t3398 () (tptp.c_Equiv__Relations_Oquotient @t8)) % 6.62/6.85 (define @t3399 () (tptp.hAPP (tptp.hAPP @t3398 @t45) @t725)) % 6.62/6.85 (define @t3400 () (tptp.tc_prod @t8 @t8)) % 6.62/6.85 (define @t3401 () (tptp.tc_fun @t3400 tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t3402 () (tptp.c_Fun_Oinj__on @t8 @t1898 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3401 @t1898) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 (tptp.tc_fun @t3401 @t1898) @t8) @t3398) @t214)) @t725) @t45)) % 6.62/6.85 (define @t3403 () (@list @t725 @t45 @t8)) % 6.62/6.85 (define @t3404 () (@list @t725 @t8)) % 6.62/6.85 (define @t3405 () (tptp.c_Relation_OImage @t8 @t8 @t725)) % 6.62/6.85 (define @t3406 () (tptp.c_COMBB @t52 @t52 @t8)) % 6.62/6.85 (define @t3407 () (tptp.hAPP @t3405 @t164)) % 6.62/6.85 (define @t3408 () (tptp.hAPP (tptp.hAPP @t3398 @t164) @t725)) % 6.62/6.85 (define @t3409 () (@list @t725 @t60 @t8)) % 6.62/6.85 (define @t3410 () (forall @t649 (=> @t569 (tptp.hBOOL (tptp.hAPP @t41 (tptp.hAPP @t74 @t287)))))) % 6.62/6.85 (define @t3411 () (tptp.c_Relation_OImage @t39 @t8 @t725)) % 6.62/6.85 (define @t3412 () (tptp.hAPP (tptp.hAPP @t1750 @t3411) @t74)) % 6.62/6.85 (define @t3413 () (tptp.hAPP @t1918 @t3412)) % 6.62/6.85 (define @t3414 () (tptp.hAPP @t3411 @t1925)) % 6.62/6.85 (define @t3415 () (tptp.c_Relation_OImage @t39 @t8 @t200)) % 6.62/6.85 (define @t3416 () (tptp.hAPP @t3415 @t74)) % 6.62/6.85 (define @t3417 () (tptp.hAPP @t3415 @t45)) % 6.62/6.85 (define @t3418 () (tptp.hAPP (tptp.hAPP @t1551 @t3417) @t3416)) % 6.62/6.85 (define @t3419 () (tptp.hAPP @t3415 @t1585)) % 6.62/6.85 (define @t3420 () (@list @t74 @t45 @t200 @t39 @t8)) % 6.62/6.85 (define @t3421 () (@list @t200 @t8 @t39)) % 6.62/6.85 (define @t3422 () (tptp.c_Relation_OImage @t8 @t39 @t725)) % 6.62/6.85 (define @t3423 () (tptp.hAPP @t3422 @t45)) % 6.62/6.85 (define @t3424 () (@var "V_r_H_2" $$unsorted)) % 6.62/6.85 (define @t3425 () (tptp.c_Orderings_Oord__class_Oless__eq @t1066)) % 6.62/6.85 (define @t3426 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3425 @t3424) @t725))) % 6.62/6.85 (define @t3427 () (tptp.hAPP @t1037 @t3417)) % 6.62/6.85 (define @t3428 () (tptp.tc_prod @t39 @t8)) % 6.62/6.85 (define @t3429 () (tptp.tc_fun @t3428 tptp.tc_HOL_Obool)) % 6.62/6.85 (define @t3430 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3429)) % 6.62/6.85 (define @t3431 () (tptp.hBOOL (tptp.hAPP @t1829 @t3399))) % 6.62/6.85 (define @t3432 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t2962) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t2962) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 6.62/6.85 (define @t3433 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t3434 () (tptp.hAPP @t3433 (tptp.hAPP @t3432 @t1975))) % 6.62/6.85 (define @t3435 () (tptp.hAPP @t3434 tptp.c_Int_Onat)) % 6.62/6.85 (define @t3436 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t3437 () (tptp.hAPP (tptp.hAPP @t467 @t2796) @t2795)) % 6.62/6.85 (define @t3438 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2794))) % 6.62/6.85 (define @t3439 () (tptp.c_Orderings_Oord__class_Oless__eq @t3401)) % 6.62/6.85 (define @t3440 () (tptp.c_Orderings_Obot__class_Obot @t3401)) % 6.62/6.85 (define @t3441 () (@var "V_Z_2" $$unsorted)) % 6.62/6.85 (define @t3442 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t392))) % 6.62/6.85 (define @t3443 () (tptp.c_Com_Ocom_OCond @t315 @t283 @t282)) % 6.62/6.85 (define @t3444 () (@list @t282 @t283 @t315)) % 6.62/6.85 (define @t3445 () (@list @t2 @t199 @t8 @t39)) % 6.62/6.85 (define @t3446 () (tptp.c_Com_Ocom_OCond @t279 @t320 @t318)) % 6.62/6.85 (define @t3447 () (@list @t318 @t320 @t279)) % 6.62/6.85 (define @t3448 () (tptp.hAPP tptp.c_Nat_OSuc @t1029)) % 6.62/6.85 (define @t3449 () (tptp.hBOOL (tptp.hAPP @t1826 @t3256))) % 6.62/6.85 (define @t3450 () (tptp.hBOOL (tptp.hAPP @t3257 @t447))) % 6.62/6.85 (define @t3451 () (= @t4 @t227)) % 6.62/6.85 (define @t3452 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 6.62/6.85 (define @t3453 () (tptp.hAPP @t3452 @t2191)) % 6.62/6.85 (define @t3454 () (tptp.hAPP (tptp.hAPP @t467 @t3453) @t1193)) % 6.62/6.85 (define @t3455 () (@list @t2191)) % 6.62/6.85 (define @t3456 () (= @t215 @t250)) % 6.62/6.85 (define @t3457 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t250) @t3399))) % 6.62/6.85 (define @t3458 () (tptp.c_Equiv__Relations_Oequiv @t8 @t45 @t725)) % 6.62/6.85 (define @t3459 () (@var "V_loc_2" $$unsorted)) % 6.62/6.85 (define @t3460 () (tptp.c_Com_Ocom_OLocal @t3459 @t315 @t18)) % 6.62/6.85 (define @t3461 () (@list @t18 @t315 @t3459)) % 6.62/6.85 (define @t3462 () (tptp.c_Int_Onumber__class_Onumber__of @t372)) % 6.62/6.85 (define @t3463 () (tptp.hAPP @t3462 @t2191)) % 6.62/6.85 (define @t3464 () (tptp.hAPP @t2342 @t3453)) % 6.62/6.85 (define @t3465 () (= @t3464 @t3463)) % 6.62/6.85 (define @t3466 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 6.62/6.85 (define @t3467 () (tptp.hAPP @t3466 @t2191)) % 6.62/6.85 (define @t3468 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3467))) % 6.62/6.85 (define @t3469 () (not @t3468)) % 6.62/6.85 (define @t3470 () (= @t3464 @t1991)) % 6.62/6.85 (define @t3471 () (tptp.class_Int_Onumber__ring @t372)) % 6.62/6.85 (define @t3472 () (@list @t2191 @t372)) % 6.62/6.85 (define @t3473 () (tptp.hBOOL (tptp.hAPP @t2323 @t3467))) % 6.62/6.85 (define @t3474 () (tptp.hAPP @t3462 @t1216)) % 6.62/6.85 (define @t3475 () (@var "V_loc_H_2" $$unsorted)) % 6.62/6.85 (define @t3476 () (tptp.c_Com_Ocom_OLocal @t3475 @t279 @t17)) % 6.62/6.85 (define @t3477 () (tptp.c_Int_Onumber__class_Onumber__of @t8)) % 6.62/6.85 (define @t3478 () (tptp.hAPP @t3477 @t787)) % 6.62/6.85 (define @t3479 () (tptp.class_Int_Onumber @t8)) % 6.62/6.85 (define @t3480 () (tptp.hAPP @t3477 @t109)) % 6.62/6.85 (define @t3481 () (tptp.hAPP @t3477 @t60)) % 6.62/6.85 (define @t3482 () (= @t3481 @t3480)) % 6.62/6.85 (define @t3483 () (tptp.class_Int_Onumber__ring @t8)) % 6.62/6.85 (define @t3484 () (and @t3483 @t2356)) % 6.62/6.85 (define @t3485 () (@list @t17 @t279 @t3475)) % 6.62/6.85 (define @t3486 () (tptp.hAPP @t3477 @t640)) % 6.62/6.85 (define @t3487 () (tptp.hAPP @t702 @t3478)) % 6.62/6.85 (define @t3488 () (@list @t787 @t640 @t8)) % 6.62/6.85 (define @t3489 () (@var "T_b" $$unsorted)) % 6.62/6.85 (define @t3490 () (tptp.c_Int_Onumber__class_Onumber__of @t3489)) % 6.62/6.85 (define @t3491 () (tptp.hAPP @t3490 @t2191)) % 6.62/6.85 (define @t3492 () (tptp.c_Groups_Otimes__class_Otimes @t3489)) % 6.62/6.85 (define @t3493 () (tptp.hAPP @t3492 @t3491)) % 6.62/6.85 (define @t3494 () (tptp.hAPP @t3493 @t404)) % 6.62/6.85 (define @t3495 () (tptp.hAPP @t3493 @t407)) % 6.62/6.85 (define @t3496 () (tptp.c_Groups_Oplus__class_Oplus @t3489)) % 6.62/6.85 (define @t3497 () (tptp.class_Int_Onumber @t3489)) % 6.62/6.85 (define @t3498 () (and @t3497 (tptp.class_Rings_Osemiring @t3489))) % 6.62/6.85 (define @t3499 () (@list @t404 @t407 @t2191 @t3489)) % 6.62/6.85 (define @t3500 () (tptp.hAPP (tptp.hAPP @t3492 @t407) @t3491)) % 6.62/6.85 (define @t3501 () (tptp.hAPP (tptp.hAPP @t3492 @t403) @t3491)) % 6.62/6.85 (define @t3502 () (@list @t2191 @t407 @t403 @t3489)) % 6.62/6.85 (define @t3503 () (tptp.c_Groups_Ominus__class_Ominus @t3489)) % 6.62/6.85 (define @t3504 () (and @t3497 (tptp.class_Rings_Oring @t3489))) % 6.62/6.85 (define @t3505 () (tptp.hAPP @t424 @t3481)) % 6.62/6.85 (define @t3506 () (and @t3483 @t2122)) % 6.62/6.85 (define @t3507 () (tptp.hAPP @t702 @t3481)) % 6.62/6.85 (define @t3508 () (tptp.hAPP @t3490 @t1436)) % 6.62/6.85 (define @t3509 () (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin @t3489) @t3508) @t3491)) % 6.62/6.85 (define @t3510 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t3489) @t3508) @t3491))) % 6.62/6.85 (define @t3511 () (not @t3510)) % 6.62/6.85 (define @t3512 () (and @t3497 (tptp.class_Orderings_Oord @t3489))) % 6.62/6.85 (define @t3513 () (@list @t2191 @t1436 @t3489)) % 6.62/6.85 (define @t3514 () (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax @t3489) @t3508) @t3491)) % 6.62/6.85 (define @t3515 () (tptp.hAPP @t2303 @t2191)) % 6.62/6.85 (define @t3516 () (tptp.hAPP @t3515 @t2282)) % 6.62/6.85 (define @t3517 () (tptp.hAPP @t3462 @t3516)) % 6.62/6.85 (define @t3518 () (tptp.hAPP @t3462 @t2282)) % 6.62/6.85 (define @t3519 () (tptp.hAPP @t577 @t3463)) % 6.62/6.85 (define @t3520 () (@list @t392 @t2282 @t2191 @t372)) % 6.62/6.85 (define @t3521 () (tptp.hAPP @t3519 @t3518)) % 6.62/6.85 (define @t3522 () (@list @t2282 @t2191 @t372)) % 6.62/6.85 (define @t3523 () (tptp.hAPP @t2246 @t2191)) % 6.62/6.85 (define @t3524 () (tptp.hAPP @t3523 @t2282)) % 6.62/6.85 (define @t3525 () (tptp.hAPP @t3462 @t3524)) % 6.62/6.85 (define @t3526 () (tptp.hAPP @t670 @t3463)) % 6.62/6.85 (define @t3527 () (tptp.hAPP @t3526 @t3518)) % 6.62/6.85 (define @t3528 () (tptp.hAPP @t618 @t3463)) % 6.62/6.85 (define @t3529 () (tptp.hAPP @t3528 @t3518)) % 6.62/6.85 (define @t3530 () (tptp.hAPP @t3462 @t2409)) % 6.62/6.85 (define @t3531 () (tptp.hAPP @t834 @t3518)) % 6.62/6.85 (define @t3532 () (@list @t2282 @t372)) % 6.62/6.85 (define @t3533 () (tptp.hAPP @t58 @t3478)) % 6.62/6.85 (define @t3534 () (@list @t787 @t8)) % 6.62/6.85 (define @t3535 () (= @t3478 @t1985)) % 6.62/6.85 (define @t3536 () (=> @t3535 @t1989)) % 6.62/6.85 (define @t3537 () (tptp.hAPP @t743 @t3478)) % 6.62/6.85 (define @t3538 () (not @t3535)) % 6.62/6.85 (define @t3539 () (tptp.hAPP @t2778 @t3478)) % 6.62/6.85 (define @t3540 () (and @t2880 @t3479)) % 6.62/6.85 (define @t3541 () (@list @t13 @t787 @t57 @t8)) % 6.62/6.85 (define @t3542 () (=> @t2781 @t3535)) % 6.62/6.85 (define @t3543 () (tptp.hAPP (tptp.hAPP @t642 @t3478) @t82)) % 6.62/6.85 (define @t3544 () (@list @t787 @t82 @t57 @t8)) % 6.62/6.85 (define @t3545 () (@list @t82 @t57 @t787 @t8)) % 6.62/6.85 (define @t3546 () (@list @t787 @t57 @t13 @t8)) % 6.62/6.85 (define @t3547 () (tptp.hAPP @t3515 @t2409)) % 6.62/6.85 (define @t3548 () (tptp.hAPP @t3462 @t3547)) % 6.62/6.85 (define @t3549 () (tptp.hBOOL (tptp.hAPP @t3487 @t1985))) % 6.62/6.85 (define @t3550 () (not @t3549)) % 6.62/6.85 (define @t3551 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t3537) @t57))) % 6.62/6.85 (define @t3552 () (tptp.hBOOL (tptp.hAPP @t2055 @t3478))) % 6.62/6.85 (define @t3553 () (not @t3552)) % 6.62/6.85 (define @t3554 () (tptp.hBOOL (tptp.hAPP @t919 @t3537))) % 6.62/6.85 (define @t3555 () (and @t2856 @t3479)) % 6.62/6.85 (define @t3556 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t3543) @t57))) % 6.62/6.85 (define @t3557 () (tptp.hBOOL (tptp.hAPP @t919 @t3543))) % 6.62/6.85 (define @t3558 () (tptp.hAPP @t3462 @t371)) % 6.62/6.85 (define @t3559 () (tptp.hAPP @t3204 @t3558)) % 6.62/6.85 (define @t3560 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t3558) @t1991))) % 6.62/6.85 (define @t3561 () (and @t3471 @t764)) % 6.62/6.85 (define @t3562 () (tptp.hBOOL (tptp.hAPP @t894 @t3537))) % 6.62/6.85 (define @t3563 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t3537) @t57))) % 6.62/6.85 (define @t3564 () (tptp.hAPP @t424 @t3478)) % 6.62/6.85 (define @t3565 () (tptp.hBOOL (tptp.hAPP @t894 @t3543))) % 6.62/6.85 (define @t3566 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t3543) @t57))) % 6.62/6.85 (define @t3567 () (tptp.hAPP @t3405 @t96)) % 6.62/6.85 (define @t3568 () (@list @t13 @t725 @t45 @t8)) % 6.62/6.85 (define @t3569 () (tptp.c_Equiv__Relations_Ocongruent @t8 @t80 @t725 @t2)) % 6.62/6.85 (define @t3570 () (@var "V_r2_2" $$unsorted)) % 6.62/6.85 (define @t3571 () (tptp.c_Relation_OImage @t39 @t39 @t3570)) % 6.62/6.86 (define @t3572 () (tptp.c_COMBB @t1564 @t438 @t8)) % 6.62/6.86 (define @t3573 () (@var "V_r1_2" $$unsorted)) % 6.62/6.86 (define @t3574 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t438)) % 6.62/6.86 (define @t3575 () (@var "V_A2_2" $$unsorted)) % 6.62/6.86 (define @t3576 () (@var "V_A1_2" $$unsorted)) % 6.62/6.86 (define @t3577 () (tptp.c_Equiv__Relations_Ocongruent2 @t8 @t39 @t438 @t3573 @t3570 @t2)) % 6.62/6.86 (define @t3578 () (tptp.c_Equiv__Relations_Oequiv @t39 @t3575 @t3570)) % 6.62/6.86 (define @t3579 () (tptp.c_Equiv__Relations_Oequiv @t8 @t3576 @t3573)) % 6.62/6.86 (define @t3580 () (@var "V_v_H" $$unsorted)) % 6.62/6.86 (define @t3581 () (tptp.hAPP @t3466 @t3580)) % 6.62/6.86 (define @t3582 () (tptp.hAPP @t3452 @t3580)) % 6.62/6.86 (define @t3583 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1976 @t3582)) % 6.62/6.86 (define @t3584 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3581))) % 6.62/6.86 (define @t3585 () (not @t3584)) % 6.62/6.86 (define @t3586 () (@list @t3580)) % 6.62/6.86 (define @t3587 () (tptp.hAPP @t2584 @t2270)) % 6.62/6.86 (define @t3588 () (tptp.hBOOL (tptp.hAPP @t2638 @t1455))) % 6.62/6.86 (define @t3589 () (tptp.hAPP @t3466 @t1455)) % 6.62/6.86 (define @t3590 () (tptp.hAPP @t3466 @t1199)) % 6.62/6.86 (define @t3591 () (tptp.hAPP @t3466 @t2282)) % 6.62/6.86 (define @t3592 () (tptp.hAPP @t2266 @t3591)) % 6.62/6.86 (define @t3593 () (@list @t2282 @t2191)) % 6.62/6.86 (define @t3594 () (tptp.hAPP @t2303 @t3467)) % 6.62/6.86 (define @t3595 () (tptp.hAPP @t3452 @t2282)) % 6.62/6.86 (define @t3596 () (tptp.c_Equiv__Relations_Ocongruent2 @t8 @t39 @t125 @t3573 @t3570 @t2)) % 6.62/6.86 (define @t3597 () (= @t3453 @t1975)) % 6.62/6.86 (define @t3598 () (tptp.hAPP @t3466 @t640)) % 6.62/6.86 (define @t3599 () (@var "V_v_H_2" $$unsorted)) % 6.62/6.86 (define @t3600 () (tptp.hAPP @t3466 @t3599)) % 6.62/6.86 (define @t3601 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3600))) % 6.62/6.86 (define @t3602 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3598))) % 6.62/6.86 (define @t3603 () (tptp.hAPP @t3452 @t3599)) % 6.62/6.86 (define @t3604 () (tptp.hAPP @t3452 @t640)) % 6.62/6.86 (define @t3605 () (@list @t3599 @t640)) % 6.62/6.86 (define @t3606 () (tptp.hAPP @t3452 (tptp.hAPP @t3515 @t3580))) % 6.62/6.86 (define @t3607 () (tptp.hAPP (tptp.hAPP @t1223 @t3582) @t1216)) % 6.62/6.86 (define @t3608 () (tptp.hAPP @t1223 @t3453)) % 6.62/6.86 (define @t3609 () (tptp.hAPP @t3608 @t3607)) % 6.62/6.86 (define @t3610 () (@list @t1216 @t3580 @t2191)) % 6.62/6.86 (define @t3611 () (tptp.hAPP @t2264 @t3453)) % 6.62/6.86 (define @t3612 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3453 @t3582)) % 6.62/6.86 (define @t3613 () (@list @t3580 @t2191)) % 6.62/6.86 (define @t3614 () (tptp.hAPP @t2584 @t3467)) % 6.62/6.86 (define @t3615 () (tptp.hAPP (tptp.hAPP @t2709 @t3453) @t3582)) % 6.62/6.86 (define @t3616 () (tptp.hAPP @t2243 @t3467)) % 6.62/6.86 (define @t3617 () (tptp.hAPP @t2018 @t3453)) % 6.62/6.86 (define @t3618 () (tptp.hAPP @t3617 @t1211)) % 6.62/6.86 (define @t3619 () (tptp.hAPP @t2018 @t1975)) % 6.62/6.86 (define @t3620 () (@list @t1211 @t2191)) % 6.62/6.86 (define @t3621 () (tptp.hAPP @t3617 @t3595)) % 6.62/6.86 (define @t3622 () (tptp.hAPP @t3452 (tptp.c_Int_Osucc @t2191))) % 6.62/6.86 (define @t3623 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t3608 @t1211))) % 6.62/6.86 (define @t3624 () (tptp.hAPP (tptp.hAPP @t467 @t3604) @t3603)) % 6.62/6.86 (define @t3625 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3599) tptp.c_Int_OPls))) % 6.62/6.86 (define @t3626 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2962 tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3627 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t3628 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3629 () (tptp.hAPP @t3628 tptp.c_Nat_OSuc)) % 6.62/6.86 (define @t3630 () (tptp.hAPP @t3466 (tptp.c_Int_Opred @t640))) % 6.62/6.86 (define @t3631 () (tptp.hAPP @t3436 @t3630)) % 6.62/6.86 (define @t3632 () (@list @t1196 @t640)) % 6.62/6.86 (define @t3633 () (@list @t640 @t1196)) % 6.62/6.86 (define @t3634 () (tptp.hAPP @t2312 tptp.c_Int_OPls)) % 6.62/6.86 (define @t3635 () (tptp.hAPP @t2297 @t1216)) % 6.62/6.86 (define @t3636 () (tptp.hAPP @t2266 tptp.c_Int_OPls)) % 6.62/6.86 (define @t3637 () (tptp.hAPP @t2303 tptp.c_Int_OPls)) % 6.62/6.86 (define @t3638 () (tptp.hAPP @t2268 tptp.c_Int_OPls)) % 6.62/6.86 (define @t3639 () (tptp.hAPP @t3462 tptp.c_Int_OPls)) % 6.62/6.86 (define @t3640 () (tptp.hAPP @t3452 tptp.c_Int_OPls)) % 6.62/6.86 (define @t3641 () (tptp.hAPP @t3466 tptp.c_Int_OPls)) % 6.62/6.86 (define @t3642 () (tptp.hAPP @t3452 (tptp.c_Int_Opred @t2191))) % 6.62/6.86 (define @t3643 () (tptp.hAPP @t3608 @t1193)) % 6.62/6.86 (define @t3644 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2191) tptp.c_Int_OPls))) % 6.62/6.86 (define @t3645 () (not @t3644)) % 6.62/6.86 (define @t3646 () (tptp.hAPP @t1423 @t3453)) % 6.62/6.86 (define @t3647 () (tptp.c_Int_Opred @t1216)) % 6.62/6.86 (define @t3648 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2191) tptp.c_Int_OPls))) % 6.62/6.86 (define @t3649 () (and @t2767 @t3471)) % 6.62/6.86 (define @t3650 () (tptp.hAPP @t2312 @t640)) % 6.62/6.86 (define @t3651 () (tptp.hBOOL (tptp.hAPP @t3650 tptp.c_Int_OPls))) % 6.62/6.86 (define @t3652 () (= @t3604 @t1975)) % 6.62/6.86 (define @t3653 () (@list @t640)) % 6.62/6.86 (define @t3654 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t640) @t3599))) % 6.62/6.86 (define @t3655 () (tptp.hAPP @t1016 @t3604)) % 6.62/6.86 (define @t3656 () (tptp.hAPP @t1144 @t3604)) % 6.62/6.86 (define @t3657 () (tptp.c_Int_Osucc @t1216)) % 6.62/6.86 (define @t3658 () (@list @t109 @t8)) % 6.62/6.86 (define @t3659 () (tptp.hAPP @t3608 @t3582)) % 6.62/6.86 (define @t3660 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3580) tptp.c_Int_OPls))) % 6.62/6.86 (define @t3661 () (tptp.hAPP @t3452 (tptp.hAPP @t3523 @t3580))) % 6.62/6.86 (define @t3662 () (tptp.hAPP @t1302 @t3453)) % 6.62/6.86 (define @t3663 () (tptp.hAPP @t3662 @t3582)) % 6.62/6.86 (define @t3664 () (tptp.hAPP @t3662 (tptp.hAPP (tptp.hAPP @t1302 @t3582) @t1216))) % 6.62/6.86 (define @t3665 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1443 tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3666 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t3667 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3668 () (tptp.hAPP (tptp.hAPP @t3667 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 6.62/6.86 (define @t3669 () (tptp.hAPP @t3388 (tptp.hAPP (tptp.hAPP @t3386 tptp.c_fimplies) @t3668))) % 6.62/6.86 (define @t3670 () (tptp.hAPP @t3388 (tptp.hAPP @t3387 @t3668))) % 6.62/6.86 (define @t3671 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t3630)) % 6.62/6.86 (define @t3672 () (tptp.hBOOL (tptp.hAPP @t3671 (tptp.hAPP @t3670 (tptp.hAPP @t3669 (tptp.hAPP (tptp.hAPP @t3666 (tptp.hAPP (tptp.hAPP @t3665 tptp.c_fequal) tptp.c_Int_Onat)) @t1196)))))) % 6.62/6.86 (define @t3673 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1679 tptp.tc_Int_Oint) @t1678)) % 6.62/6.86 (define @t3674 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t8 @t473) (tptp.hAPP @t3673 tptp.c_Nat__Numeral_Oneg))) % 6.62/6.86 (define @t3675 () (tptp.c_COMBS tptp.tc_Int_Oint @t8 @t8)) % 6.62/6.86 (define @t3676 () (tptp.hAPP @t3675 (tptp.hAPP @t3674 @t13))) % 6.62/6.86 (define @t3677 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t8)) % 6.62/6.86 (define @t3678 () (tptp.hAPP @t3677 @t3630)) % 6.62/6.86 (define @t3679 () (@list @t640 @t2 @t13 @t8)) % 6.62/6.86 (define @t3680 () (tptp.hAPP tptp.c_Nat_OSuc @t3453)) % 6.62/6.86 (define @t3681 () (tptp.hAPP @t3433 (tptp.hAPP @t3432 @t1879))) % 6.62/6.86 (define @t3682 () (tptp.hAPP (tptp.hAPP @t3627 (tptp.hAPP (tptp.hAPP @t3626 @t1223) tptp.c_Int_Onat)) @t1196)) % 6.62/6.86 (define @t3683 () (tptp.hAPP (tptp.hAPP @t1223 @t3604) @t1196)) % 6.62/6.86 (define @t3684 () (@list @t1196 @t640 @t2 @t13 @t8)) % 6.62/6.86 (define @t3685 () (tptp.c_Nat_Onat_Onat__rec @t8 @t13 @t2)) % 6.62/6.86 (define @t3686 () (tptp.hAPP @t2812 @t3685)) % 6.62/6.86 (define @t3687 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t473 tptp.tc_Int_Oint) @t2)) % 6.62/6.86 (define @t3688 () (@var "V_X2_2" $$unsorted)) % 6.62/6.86 (define @t3689 () (@var "V_X1_2" $$unsorted)) % 6.62/6.86 (define @t3690 () (tptp.c_member @t438)) % 6.62/6.86 (define @t3691 () (@var "B_x2" $$unsorted)) % 6.62/6.86 (define @t3692 () (tptp.c_member @t80)) % 6.62/6.86 (define @t3693 () (tptp.hAPP (tptp.hAPP @t1557 @t215) @t2)) % 6.62/6.86 (define @t3694 () (tptp.c_Nat_Onat_Onat__rec @t8 @t169 @t3079)) % 6.62/6.86 (define @t3695 () (tptp.hAPP @t2303 @t60)) % 6.62/6.86 (define @t3696 () (tptp.hAPP @t2266 @t109)) % 6.62/6.86 (define @t3697 () (tptp.c_Int_OBit1 @t787)) % 6.62/6.86 (define @t3698 () (tptp.hAPP @t3452 @t3697)) % 6.62/6.86 (define @t3699 () (tptp.hAPP @t1494 @t3486)) % 6.62/6.86 (define @t3700 () (tptp.hAPP @t3699 @t3698)) % 6.62/6.86 (define @t3701 () (tptp.hAPP @t3466 @t787)) % 6.62/6.86 (define @t3702 () (tptp.hBOOL (tptp.hAPP @t2323 @t3701))) % 6.62/6.86 (define @t3703 () (not @t3702)) % 6.62/6.86 (define @t3704 () (tptp.c_COMBB @t8 @t473 @t8)) % 6.62/6.86 (define @t3705 () (tptp.hAPP @t3704 @t642)) % 6.62/6.86 (define @t3706 () (tptp.c_COMBS @t8 @t8 @t8)) % 6.62/6.86 (define @t3707 () (tptp.hAPP @t3452 @t787)) % 6.62/6.86 (define @t3708 () (tptp.c_HOL_OLet @t8 @t8)) % 6.62/6.86 (define @t3709 () (tptp.hAPP @t3708 (tptp.hAPP @t3699 @t3707))) % 6.62/6.86 (define @t3710 () (tptp.hAPP @t2243 @t142)) % 6.62/6.86 (define @t3711 () (tptp.hAPP @t3710 @t3698)) % 6.62/6.86 (define @t3712 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3713 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3714 () (tptp.c_COMBB tptp.tc_Int_Oint @t3713 tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3715 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3716 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t3710 @t3707))) % 6.62/6.86 (define @t3717 () (tptp.hAPP @t3462 (tptp.c_Int_OBit1 @t2282))) % 6.62/6.86 (define @t3718 () (tptp.c_Int_OBit1 @t1455)) % 6.62/6.86 (define @t3719 () (tptp.c_Int_OBit1 @t1199)) % 6.62/6.86 (define @t3720 () (tptp.hAPP @t2312 @t3719)) % 6.62/6.86 (define @t3721 () (@var "V_k2_2" $$unsorted)) % 6.62/6.86 (define @t3722 () (@var "V_k1_2" $$unsorted)) % 6.62/6.86 (define @t3723 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t3722) @t3721))) % 6.62/6.86 (define @t3724 () (tptp.c_Int_OBit1 @t3721)) % 6.62/6.86 (define @t3725 () (tptp.c_Int_OBit1 @t3722)) % 6.62/6.86 (define @t3726 () (tptp.hAPP @t2312 @t3725)) % 6.62/6.86 (define @t3727 () (@list @t3721 @t3722)) % 6.62/6.86 (define @t3728 () (= @t1199 @t1455)) % 6.62/6.86 (define @t3729 () (tptp.hAPP @t2268 @t3719)) % 6.62/6.86 (define @t3730 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3722) @t3721))) % 6.62/6.86 (define @t3731 () (tptp.hAPP @t2268 @t3725)) % 6.62/6.86 (define @t3732 () (tptp.c_Int_OBit1 @t1216)) % 6.62/6.86 (define @t3733 () (tptp.c_Int_OBit1 @t1208)) % 6.62/6.86 (define @t3734 () (@list @t1208)) % 6.62/6.86 (define @t3735 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 6.62/6.86 (define @t3736 () (tptp.hAPP @t3462 @t3735)) % 6.62/6.86 (define @t3737 () (tptp.hBOOL (tptp.hAPP @t2319 @t2273))) % 6.62/6.86 (define @t3738 () (@list @t787)) % 6.62/6.86 (define @t3739 () (tptp.hBOOL (tptp.hAPP @t3634 @t1199))) % 6.62/6.86 (define @t3740 () (tptp.hBOOL (tptp.hAPP @t2432 tptp.c_Int_OPls))) % 6.62/6.86 (define @t3741 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3701))) % 6.62/6.86 (define @t3742 () (tptp.hAPP @t1340 @t3518)) % 6.62/6.86 (define @t3743 () (and @t2792 @t3471)) % 6.62/6.86 (define @t3744 () (tptp.hAPP @t2303 @t3735)) % 6.62/6.86 (define @t3745 () (tptp.hAPP @t2266 @t3735)) % 6.62/6.86 (define @t3746 () (tptp.hAPP @t3452 @t3735)) % 6.62/6.86 (define @t3747 () (tptp.c_Int_OBit1 @t3735)) % 6.62/6.86 (define @t3748 () (tptp.hAPP @t3466 @t3747)) % 6.62/6.86 (define @t3749 () (tptp.hAPP @t3452 @t3747)) % 6.62/6.86 (define @t3750 () (tptp.hAPP @t1223 @t3749)) % 6.62/6.86 (define @t3751 () (tptp.hAPP @t3750 @t1211)) % 6.62/6.86 (define @t3752 () (tptp.hAPP tptp.c_Nat_OSuc @t1853)) % 6.62/6.86 (define @t3753 () (tptp.hAPP tptp.c_Nat_OSuc @t3752)) % 6.62/6.86 (define @t3754 () (tptp.hAPP @t3750 @t793)) % 6.62/6.86 (define @t3755 () (tptp.hAPP tptp.c_Nat_OSuc @t1854)) % 6.62/6.86 (define @t3756 () (tptp.hAPP tptp.c_Nat_OSuc @t3755)) % 6.62/6.86 (define @t3757 () (@list @t2191 @t793)) % 6.62/6.86 (define @t3758 () (tptp.hAPP @t2709 @t3754)) % 6.62/6.86 (define @t3759 () (tptp.hAPP @t2709 @t3756)) % 6.62/6.86 (define @t3760 () (tptp.hAPP (tptp.hAPP @t2963 @t1223) @t3087)) % 6.62/6.86 (define @t3761 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t3707)) % 6.62/6.86 (define @t3762 () (tptp.hAPP @t1494 @t142)) % 6.62/6.86 (define @t3763 () (tptp.hAPP @t3762 @t3698)) % 6.62/6.86 (define @t3764 () (tptp.hAPP @t3708 (tptp.hAPP @t3762 @t3707))) % 6.62/6.86 (define @t3765 () (tptp.hAPP @t3594 @t2270)) % 6.62/6.86 (define @t3766 () (tptp.c_Int_OBit0 @t3735)) % 6.62/6.86 (define @t3767 () (tptp.hAPP @t3466 @t3766)) % 6.62/6.86 (define @t3768 () (tptp.hAPP @t2246 @t3767)) % 6.62/6.86 (define @t3769 () (tptp.c_Int_OBit0 @t2282)) % 6.62/6.86 (define @t3770 () (tptp.hAPP @t3466 @t3769)) % 6.62/6.86 (define @t3771 () (tptp.hAPP @t3466 (tptp.c_Int_OBit1 @t2191))) % 6.62/6.86 (define @t3772 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3771 @t3770)) % 6.62/6.86 (define @t3773 () (tptp.hBOOL (tptp.hAPP @t2323 @t3591))) % 6.62/6.86 (define @t3774 () (not @t3773)) % 6.62/6.86 (define @t3775 () (tptp.hAPP @t3768 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3467 @t3591))) % 6.62/6.86 (define @t3776 () (@list @t2191 @t2282)) % 6.62/6.86 (define @t3777 () (tptp.hAPP (tptp.hAPP @t2303 @t407) @t2270)) % 6.62/6.86 (define @t3778 () (tptp.hAPP @t3768 @t403)) % 6.62/6.86 (define @t3779 () (tptp.hAPP @t3768 @t407)) % 6.62/6.86 (define @t3780 () (tptp.hAPP @t2322 @t3779)) % 6.62/6.86 (define @t3781 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3780 @t3778)) % 6.62/6.86 (define @t3782 () (tptp.hAPP @t2303 @t13)) % 6.62/6.86 (define @t3783 () (tptp.hAPP (tptp.hAPP @t2584 @t3780) @t3778)) % 6.62/6.86 (define @t3784 () (tptp.c_Int_OBit0 @t1216)) % 6.62/6.86 (define @t3785 () (tptp.c_Int_OBit0 @t1208)) % 6.62/6.86 (define @t3786 () (tptp.c_Int_OBit0 @t1455)) % 6.62/6.86 (define @t3787 () (@list @t1455)) % 6.62/6.86 (define @t3788 () (tptp.c_Int_OBit0 @t1199)) % 6.62/6.86 (define @t3789 () (tptp.c_Int_OBit0 @t3721)) % 6.62/6.86 (define @t3790 () (tptp.c_Int_OBit0 @t3722)) % 6.62/6.86 (define @t3791 () (tptp.hAPP @t2268 @t3790)) % 6.62/6.86 (define @t3792 () (tptp.hAPP @t2268 @t3788)) % 6.62/6.86 (define @t3793 () (tptp.hAPP @t2429 @t1208)) % 6.62/6.86 (define @t3794 () (tptp.hAPP @t2303 @t3784)) % 6.62/6.86 (define @t3795 () (tptp.c_Int_OBit0 (tptp.hAPP @t2275 @t1208))) % 6.62/6.86 (define @t3796 () (tptp.hAPP @t3635 @t1208)) % 6.62/6.86 (define @t3797 () (tptp.c_Int_OBit0 @t3796)) % 6.62/6.86 (define @t3798 () (tptp.hAPP @t2297 @t3784)) % 6.62/6.86 (define @t3799 () (tptp.hAPP @t2312 @t3790)) % 6.62/6.86 (define @t3800 () (tptp.hAPP @t2312 @t3788)) % 6.62/6.86 (define @t3801 () (tptp.c_Int_OBit0 @t787)) % 6.62/6.86 (define @t3802 () (tptp.c_Int_OBit1 @t3793)) % 6.62/6.86 (define @t3803 () (tptp.hAPP @t2303 @t3732)) % 6.62/6.86 (define @t3804 () (tptp.hAPP @t2297 tptp.c_Int_OPls)) % 6.62/6.86 (define @t3805 () (tptp.hAPP @t2297 @t3732)) % 6.62/6.86 (define @t3806 () (tptp.hAPP @t3614 @t3591)) % 6.62/6.86 (define @t3807 () (tptp.hAPP @t3466 (tptp.c_Int_OBit0 @t2191))) % 6.62/6.86 (define @t3808 () (tptp.hAPP @t3452 @t3801)) % 6.62/6.86 (define @t3809 () (tptp.hAPP @t3462 @t3769)) % 6.62/6.86 (define @t3810 () (tptp.hAPP @t3452 @t3766)) % 6.62/6.86 (define @t3811 () (tptp.hAPP (tptp.hAPP @t3706 @t642) @t251)) % 6.62/6.86 (define @t3812 () (tptp.hAPP @t3466 @t1211)) % 6.62/6.86 (define @t3813 () (tptp.hAPP @t2912 @t392)) % 6.62/6.86 (define @t3814 () (tptp.hAPP @t3462 @t3766)) % 6.62/6.86 (define @t3815 () (tptp.hAPP @t670 @t3814)) % 6.62/6.86 (define @t3816 () (tptp.hAPP @t1525 @t3810)) % 6.62/6.86 (define @t3817 () (tptp.hAPP @t1474 @t3810)) % 6.62/6.86 (define @t3818 () (tptp.hAPP @t1488 @t3810)) % 6.62/6.86 (define @t3819 () (tptp.hAPP (tptp.hAPP @t1223 @t392) @t392)) % 6.62/6.86 (define @t3820 () (tptp.hAPP @t1302 @t3810)) % 6.62/6.86 (define @t3821 () (tptp.hAPP (tptp.hAPP @t1472 @t1489) @t3810)) % 6.62/6.86 (define @t3822 () (tptp.hAPP @t3820 @t1211)) % 6.62/6.86 (define @t3823 () (tptp.hAPP @t1488 @t3822)) % 6.62/6.86 (define @t3824 () (tptp.hAPP tptp.c_Int_Onat @t3767)) % 6.62/6.86 (define @t3825 () (tptp.hAPP @t1473 @t3810)) % 6.62/6.86 (define @t3826 () (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP @t2850 @t3810)) (tptp.hAPP (tptp.hAPP @t1494 @t109) @t3810))) % 6.62/6.86 (define @t3827 () (tptp.hAPP @t3490 @t2282)) % 6.62/6.86 (define @t3828 () (tptp.hAPP @t1474 @t1211)) % 6.62/6.86 (define @t3829 () (tptp.hAPP (tptp.hAPP @t670 @t3828) @t3828)) % 6.62/6.86 (define @t3830 () (@list @t1211 @t371 @t372)) % 6.62/6.86 (define @t3831 () (tptp.hAPP (tptp.hAPP @t577 @t3817) @t3825)) % 6.62/6.86 (define @t3832 () (tptp.hAPP (tptp.hAPP @t670 (tptp.hAPP @t3815 @t371)) @t381)) % 6.62/6.86 (define @t3833 () (tptp.hAPP tptp.c_Nat_OSuc @t3822)) % 6.62/6.86 (define @t3834 () (tptp.hAPP @t1488 @t3833)) % 6.62/6.86 (define @t3835 () (tptp.hAPP (tptp.hAPP @t2584 @t3771) @t3770)) % 6.62/6.86 (define @t3836 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t307 @t3810)) % 6.62/6.86 (define @t3837 () (tptp.hAPP @t2342 @t2835)) % 6.62/6.86 (define @t3838 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.86 (define @t3839 () (tptp.hAPP @t3838 @t3766)) % 6.62/6.86 (define @t3840 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.86 (define @t3841 () (tptp.hAPP @t3768 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t3840 @t1216) @t3839)))) % 6.62/6.86 (define @t3842 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t1216)) % 6.62/6.86 (define @t3843 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.86 (define @t3844 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t1216 @t3839) @t3843)) % 6.62/6.86 (define @t3845 () (= @t1216 @t3843)) % 6.62/6.86 (define @t3846 () (tptp.hAPP (tptp.hAPP @t3706 @t587) @t251)) % 6.62/6.86 (define @t3847 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t3848 () (tptp.hAPP (tptp.hAPP @t3847 tptp.c_fequal) @t2273)) % 6.62/6.86 (define @t3849 () (tptp.tc_fun @t473 @t8)) % 6.62/6.86 (define @t3850 () (tptp.tc_fun tptp.tc_Int_Oint @t8)) % 6.62/6.86 (define @t3851 () (tptp.tc_fun tptp.tc_Int_Oint @t473)) % 6.62/6.86 (define @t3852 () (tptp.hAPP @t2939 @t1199)) % 6.62/6.86 (define @t3853 () (not @t2634)) % 6.62/6.86 (define @t3854 () (tptp.hAPP @t3462 tptp.c_Int_OMin)) % 6.62/6.86 (define @t3855 () (tptp.hAPP @t1472 @t3854)) % 6.62/6.86 (define @t3856 () (tptp.hAPP @t2312 tptp.c_Int_OMin)) % 6.62/6.86 (define @t3857 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.86 (define @t3858 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.86 (define @t3859 () (tptp.hAPP @t2268 tptp.c_Int_OMin)) % 6.62/6.86 (define @t3860 () (tptp.hBOOL (tptp.hAPP @t2638 tptp.c_Int_OMin))) % 6.62/6.86 (define @t3861 () (tptp.hBOOL (tptp.hAPP @t3859 @t1199))) % 6.62/6.86 (define @t3862 () (tptp.hAPP @t3466 tptp.c_Int_OMin)) % 6.62/6.86 (define @t3863 () (tptp.hAPP @t834 @t392)) % 6.62/6.86 (define @t3864 () (tptp.hAPP @t2297 tptp.c_Int_OMin)) % 6.62/6.86 (define @t3865 () (tptp.hAPP @t3864 @t1208)) % 6.62/6.86 (define @t3866 () (tptp.c_Int_OBit1 @t3865)) % 6.62/6.86 (define @t3867 () (tptp.hAPP @t3145 @t2270)) % 6.62/6.86 (define @t3868 () (tptp.tc_fun tptp.tc_Int_Oint @t2389)) % 6.62/6.86 (define @t3869 () (tptp.c_COMBB @t2389 @t2389 tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3870 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t3871 () (tptp.hAPP @t3387 (tptp.hAPP @t2312 @t149))) % 6.62/6.86 (define @t3872 () (tptp.tc_fun @t2389 @t2389)) % 6.62/6.86 (define @t3873 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3874 () (tptp.c_Set_OCollect @t3873)) % 6.62/6.86 (define @t3875 () (tptp.c_Int_Oint__ge__less__than @t149)) % 6.62/6.86 (define @t3876 () (@list @t149)) % 6.62/6.86 (define @t3877 () (tptp.c_Int_Oint__ge__less__than2 @t149)) % 6.62/6.86 (define @t3878 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t39 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t3879 () (tptp.tc_fun @t8 @t80)) % 6.62/6.86 (define @t3880 () (tptp.c_Set_OCollect @t1065)) % 6.62/6.86 (define @t3881 () (tptp.hAPP (tptp.c_COMBB @t218 @t1157 @t8) @t3340)) % 6.62/6.86 (define @t3882 () (tptp.hAPP (tptp.hAPP @t1158 (tptp.hAPP @t3881 @t343)) @t1677)) % 6.62/6.86 (define @t3883 () (tptp.hAPP @t3858 @t1261)) % 6.62/6.86 (define @t3884 () (tptp.c_Code__Numeral_Onat__of__aux @t1261 @t1211)) % 6.62/6.86 (define @t3885 () (= @t1261 @t3843)) % 6.62/6.86 (define @t3886 () (tptp.hAPP @t3714 @t2303)) % 6.62/6.86 (define @t3887 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3888 () (tptp.tc_fun tptp.tc_Int_Oint @t218)) % 6.62/6.86 (define @t3889 () (tptp.c_Divides_Odivmod__int__rel @t13 @t57)) % 6.62/6.86 (define @t3890 () (tptp.c_Divides_Odivmod__int @t403 @t407)) % 6.62/6.86 (define @t3891 () (tptp.c_Divides_Odivmod__int__rel @t403 @t407)) % 6.62/6.86 (define @t3892 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.62/6.86 (define @t3893 () (tptp.hAPP @t3892 @t1471)) % 6.62/6.86 (define @t3894 () (tptp.hAPP @t3893 @t2120)) % 6.62/6.86 (define @t3895 () (tptp.hBOOL (tptp.hAPP @t3891 @t3894))) % 6.62/6.86 (define @t3896 () (@list @t404 @t2120 @t1471 @t407 @t403)) % 6.62/6.86 (define @t3897 () (tptp.c_Nat_Osemiring__1__class_ONats @t8)) % 6.62/6.86 (define @t3898 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1066)) % 6.62/6.86 (define @t3899 () (tptp.c_Product__Type_OPair @t8 @t39)) % 6.62/6.86 (define @t3900 () (tptp.hAPP @t3899 @t60)) % 6.62/6.86 (define @t3901 () (tptp.hAPP @t3900 @t109)) % 6.62/6.86 (define @t3902 () (tptp.c_member @t1065)) % 6.62/6.86 (define @t3903 () (tptp.hAPP @t3902 @t3901)) % 6.62/6.86 (define @t3904 () (tptp.tc_fun @t1066 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t3905 () (tptp.tc_fun @t39 @t3904)) % 6.62/6.86 (define @t3906 () (tptp.tc_fun @t39 @t1065)) % 6.62/6.86 (define @t3907 () (tptp.hAPP (tptp.c_COMBC @t8 @t1066 @t80) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3905 (tptp.tc_fun @t1066 @t80) @t8) (tptp.c_COMBC @t39 @t1066 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3906 @t3905 @t8) (tptp.hAPP (tptp.c_COMBB @t1065 @t3904 @t39) @t3902)) @t3899)))) % 6.62/6.86 (define @t3908 () (tptp.hAPP @t3907 @t199)) % 6.62/6.86 (define @t3909 () (tptp.hAPP @t3907 @t200)) % 6.62/6.86 (define @t3910 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3879)) % 6.62/6.86 (define @t3911 () (@list @t109 @t60 @t199 @t200 @t39 @t8)) % 6.62/6.86 (define @t3912 () (tptp.c_Orderings_Oord__class_Oless__eq @t3879)) % 6.62/6.86 (define @t3913 () (@list @t199 @t200 @t39 @t8)) % 6.62/6.86 (define @t3914 () (tptp.c_Orderings_Obot__class_Obot @t1066)) % 6.62/6.86 (define @t3915 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t3879) @t60) @t109))) % 6.62/6.86 (define @t3916 () (@list @t109 @t60 @t39 @t8)) % 6.62/6.86 (define @t3917 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1066)) % 6.62/6.86 (define @t3918 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3879)) % 6.62/6.86 (define @t3919 () (tptp.c_Product__Type_OPair @t8 @t8)) % 6.62/6.86 (define @t3920 () (tptp.hAPP @t3919 @t109)) % 6.62/6.86 (define @t3921 () (tptp.c_member @t3400)) % 6.62/6.86 (define @t3922 () (tptp.hAPP @t3921 (tptp.hAPP @t3920 @t142))) % 6.62/6.86 (define @t3923 () (tptp.c_Equiv__Relations_Ocongruent @t8 @t39 @t725 @t2)) % 6.62/6.86 (define @t3924 () (@var "V_z2_2" $$unsorted)) % 6.62/6.86 (define @t3925 () (@var "V_z1_2" $$unsorted)) % 6.62/6.86 (define @t3926 () (@var "V_y2_2" $$unsorted)) % 6.62/6.86 (define @t3927 () (@var "V_y1_2" $$unsorted)) % 6.62/6.86 (define @t3928 () (tptp.c_Product__Type_OPair @t39 @t39)) % 6.62/6.86 (define @t3929 () (tptp.tc_prod @t39 @t39)) % 6.62/6.86 (define @t3930 () (tptp.c_member @t3929)) % 6.62/6.86 (define @t3931 () (tptp.c_Product__Type_OPair @t39 @t8)) % 6.62/6.86 (define @t3932 () (tptp.hAPP @t3931 @t3)) % 6.62/6.86 (define @t3933 () (tptp.c_member @t3428)) % 6.62/6.86 (define @t3934 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3933 (tptp.hAPP @t3932 @t57)) @t725))) % 6.62/6.86 (define @t3935 () (tptp.hAPP @t3411 @t45)) % 6.62/6.86 (define @t3936 () (tptp.hBOOL (tptp.hAPP @t59 @t3935))) % 6.62/6.86 (define @t3937 () (@list @t45 @t725 @t39 @t57 @t8)) % 6.62/6.86 (define @t3938 () (tptp.hAPP @t3899 @t13)) % 6.62/6.86 (define @t3939 () (tptp.hAPP @t3938 @t57)) % 6.62/6.86 (define @t3940 () (tptp.hAPP @t3902 @t3939)) % 6.62/6.86 (define @t3941 () (tptp.hBOOL (tptp.hAPP @t3940 @t725))) % 6.62/6.86 (define @t3942 () (tptp.hBOOL (tptp.hAPP @t3891 (tptp.hAPP (tptp.hAPP @t3892 @t2529) @t2532)))) % 6.62/6.86 (define @t3943 () (@list @t2532 @t2529 @t2120 @t1471 @t407 @t403)) % 6.62/6.86 (define @t3944 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t403 @t403) @t3894))) % 6.62/6.86 (define @t3945 () (@list @t2120 @t1471 @t403)) % 6.62/6.86 (define @t3946 () (tptp.hAPP @t3892 @t2273)) % 6.62/6.86 (define @t3947 () (tptp.hAPP @t3946 @t2273)) % 6.62/6.86 (define @t3948 () (tptp.tc_prod @t39 @t125)) % 6.62/6.86 (define @t3949 () (tptp.tc_fun @t3948 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t3950 () (tptp.c_Product__Type_OPair @t39 @t125)) % 6.62/6.86 (define @t3951 () (tptp.hAPP (tptp.hAPP @t3950 @t60) @t109)) % 6.62/6.86 (define @t3952 () (tptp.c_member @t3948)) % 6.62/6.86 (define @t3953 () (tptp.hAPP @t3952 @t3951)) % 6.62/6.86 (define @t3954 () (tptp.tc_fun @t3949 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t3955 () (tptp.tc_fun @t125 @t3954)) % 6.62/6.86 (define @t3956 () (tptp.tc_fun @t125 @t3948)) % 6.62/6.86 (define @t3957 () (tptp.hAPP (tptp.c_COMBC @t39 @t3949 @t438) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3955 (tptp.tc_fun @t3949 @t438) @t39) (tptp.c_COMBC @t125 @t3949 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3956 @t3955 @t39) (tptp.hAPP (tptp.c_COMBB @t3948 @t3954 @t125) @t3952)) @t3950)))) % 6.62/6.86 (define @t3958 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3949 @t1564 @t8) @t3957) @t725)) % 6.62/6.86 (define @t3959 () (@list @t109 @t60 @t725 @t125 @t39 @t8)) % 6.62/6.86 (define @t3960 () (@list @t2120 @t1471 @t407 @t403)) % 6.62/6.86 (define @t3961 () (tptp.hBOOL (tptp.hAPP @t59 @t3897))) % 6.62/6.86 (define @t3962 () (tptp.hBOOL (tptp.hAPP @t66 @t3897))) % 6.62/6.86 (define @t3963 () (tptp.hAPP @t3931 @t13)) % 6.62/6.86 (define @t3964 () (tptp.hAPP @t3963 @t57)) % 6.62/6.86 (define @t3965 () (tptp.hAPP @t3411 @t1529)) % 6.62/6.86 (define @t3966 () (tptp.hAPP @t3405 @t146)) % 6.62/6.86 (define @t3967 () (= @t3567 @t3966)) % 6.62/6.86 (define @t3968 () (tptp.hAPP @t3919 @t13)) % 6.62/6.86 (define @t3969 () (tptp.hAPP @t3968 @t57)) % 6.62/6.86 (define @t3970 () (tptp.hAPP @t3921 @t3969)) % 6.62/6.86 (define @t3971 () (tptp.hBOOL (tptp.hAPP @t3970 @t725))) % 6.62/6.86 (define @t3972 () (@list @t57 @t13 @t725 @t45 @t8)) % 6.62/6.86 (define @t3973 () (tptp.hAPP @t3919 @t60)) % 6.62/6.86 (define @t3974 () (tptp.hAPP @t3921 (tptp.hAPP @t3973 @t109))) % 6.62/6.86 (define @t3975 () (tptp.hBOOL (tptp.hAPP @t3974 @t725))) % 6.62/6.86 (define @t3976 () (tptp.hBOOL (tptp.hAPP @t110 @t250))) % 6.62/6.86 (define @t3977 () (tptp.hBOOL (tptp.hAPP @t87 @t215))) % 6.62/6.86 (define @t3978 () (@list @t109 @t60 @t250 @t215 @t725 @t45 @t8)) % 6.62/6.86 (define @t3979 () (tptp.tc_fun @t3429 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t3980 () (=> @t107 @t3971)) % 6.62/6.86 (define @t3981 () (= @t3407 (tptp.hAPP @t3405 @t1015))) % 6.62/6.86 (define @t3982 () (@list @t109 @t60 @t725 @t45 @t8)) % 6.62/6.86 (define @t3983 () (@var "V_br" $$unsorted)) % 6.62/6.86 (define @t3984 () (@var "V_ar" $$unsorted)) % 6.62/6.86 (define @t3985 () (tptp.hAPP (tptp.hAPP @t2303 @t3984) @t3983)) % 6.62/6.86 (define @t3986 () (@var "V_bq" $$unsorted)) % 6.62/6.86 (define @t3987 () (@var "V_aq" $$unsorted)) % 6.62/6.86 (define @t3988 () (not (= @t404 @t2273))) % 6.62/6.86 (define @t3989 () (tptp.c_Divides_Odivmod__int__rel @t407 @t404)) % 6.62/6.86 (define @t3990 () (@list @t3983 @t3986 @t407 @t3984 @t3987 @t404 @t403)) % 6.62/6.86 (define @t3991 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t725) @t2273))) % 6.62/6.86 (define @t3992 () (tptp.hAPP @t2266 @t2747)) % 6.62/6.86 (define @t3993 () (tptp.hAPP @t2266 @t13)) % 6.62/6.86 (define @t3994 () (tptp.hAPP (tptp.hAPP @t3892 @t2747) @t725)) % 6.62/6.86 (define @t3995 () (not @t2608)) % 6.62/6.86 (define @t3996 () (tptp.hAPP @t2523 @t2120)) % 6.62/6.86 (define @t3997 () (@list @t403 @t2120 @t1471 @t404 @t407)) % 6.62/6.86 (define @t3998 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t39 @t125)) % 6.62/6.86 (define @t3999 () (tptp.hAPP @t3998 @t2)) % 6.62/6.86 (define @t4000 () (tptp.hAPP @t161 @t57)) % 6.62/6.86 (define @t4001 () (tptp.tc_fun tptp.tc_Int_Oint @t3873)) % 6.62/6.86 (define @t4002 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t4001 tptp.tc_Int_Oint) @t3892)) % 6.62/6.86 (define @t4003 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t3873)) % 6.62/6.86 (define @t4004 () (tptp.c_Nitpick_Onorm__frac @t13 @t57)) % 6.62/6.86 (define @t4005 () (or (= @t13 @t2273) (= @t57 @t2273))) % 6.62/6.86 (define @t4006 () (tptp.hAPP @t3946 @t2270)) % 6.62/6.86 (define @t4007 () (and (=> @t2615 (= @t4004 (tptp.c_Nitpick_Onorm__frac @t3993 (tptp.hAPP @t2266 @t57)))) (=> (not @t2615) (and (=> @t4005 (= @t4004 @t4006)) (=> (not @t4005) (= @t4004 (tptp.hAPP (tptp.hAPP @t4003 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t13) @t57)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t3873) (tptp.hAPP @t4002 @t2611)) (tptp.hAPP @t2584 @t57))))))))) % 6.62/6.86 (define @t4008 () (tptp.hAPP @t3768 @t2747)) % 6.62/6.86 (define @t4009 () (tptp.c_If @t3873)) % 6.62/6.86 (define @t4010 () (tptp.tc_fun @t3873 @t3873)) % 6.62/6.86 (define @t4011 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t3873 @t4010) tptp.tc_Int_Oint) @t4009)) % 6.62/6.86 (define @t4012 () (tptp.c_COMBS tptp.tc_Int_Oint @t3873 @t4010)) % 6.62/6.86 (define @t4013 () (tptp.c_Divides_Oadjust @t57)) % 6.62/6.86 (define @t4014 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3910 @t45) @t74) @t60) @t109))) % 6.62/6.86 (define @t4015 () (tptp.hBOOL (tptp.hAPP @t114 @t109))) % 6.62/6.86 (define @t4016 () (tptp.hBOOL (tptp.hAPP @t273 @t109))) % 6.62/6.86 (define @t4017 () (not @t4016)) % 6.62/6.86 (define @t4018 () (@list @t109 @t60 @t74 @t45 @t39 @t8)) % 6.62/6.86 (define @t4019 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3918 @t45) @t74) @t60) @t109))) % 6.62/6.86 (define @t4020 () (tptp.hAPP (tptp.hAPP @t3950 @t13) @t57)) % 6.62/6.86 (define @t4021 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t39 @t125 @t52) @t82)) % 6.62/6.86 (define @t4022 () (tptp.hAPP (tptp.hAPP @t82 @t13) @t57)) % 6.62/6.86 (define @t4023 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3878 @t2) @t3939))) % 6.62/6.86 (define @t4024 () (tptp.hBOOL @t4000)) % 6.62/6.86 (define @t4025 () (tptp.hAPP (tptp.hAPP @t169 @t13) @t57)) % 6.62/6.86 (define @t4026 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t39 @t438)) % 6.62/6.86 (define @t4027 () (tptp.hAPP (tptp.c_COMBC @t39 @t8 @t3428) @t3931)) % 6.62/6.86 (define @t4028 () (tptp.hBOOL (tptp.hAPP @t419 @t109))) % 6.62/6.86 (define @t4029 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3912 @t180) @t179))) % 6.62/6.86 (define @t4030 () (tptp.hBOOL (tptp.hAPP @t421 @t109))) % 6.62/6.86 (define @t4031 () (tptp.c_Product__Type_OPair @t372 @t3489)) % 6.62/6.86 (define @t4032 () (tptp.hAPP (tptp.hAPP @t4031 @t403) @t407)) % 6.62/6.86 (define @t4033 () (@var "V_b_H_2" $$unsorted)) % 6.62/6.86 (define @t4034 () (@var "V_a_H_2" $$unsorted)) % 6.62/6.86 (define @t4035 () (= @t13 @t4034)) % 6.62/6.86 (define @t4036 () (and @t4035 (= @t57 @t4033))) % 6.62/6.86 (define @t4037 () (tptp.hAPP (tptp.hAPP @t3899 @t4034) @t4033)) % 6.62/6.86 (define @t4038 () (@list @t4033 @t4034 @t57 @t13 @t39 @t8)) % 6.62/6.86 (define @t4039 () (tptp.hAPP (tptp.hAPP @t3899 @t287) @t2207)) % 6.62/6.86 (define @t4040 () (@list @t287 @t2207)) % 6.62/6.86 (define @t4041 () (tptp.hAPP @t3998 @t82)) % 6.62/6.86 (define @t4042 () (tptp.c_Product__Type_Oprod_Oprod__case @t39 @t125 @t8)) % 6.62/6.86 (define @t4043 () (tptp.hAPP @t4042 @t2)) % 6.62/6.86 (define @t4044 () (@var "T_g" $$unsorted)) % 6.62/6.86 (define @t4045 () (@var "T_f" $$unsorted)) % 6.62/6.86 (define @t4046 () (@list @t57 @t13 @t2 @t8 @t125 @t39)) % 6.62/6.86 (define @t4047 () (@list @t57 @t13 @t169 @t8 @t125 @t39)) % 6.62/6.86 (define @t4048 () (@list @t57 @t13 @t2 @t39 @t8)) % 6.62/6.86 (define @t4049 () (@list @t2 @t125 @t39 @t8)) % 6.62/6.86 (define @t4050 () (tptp.hAPP @t3878 (tptp.hAPP (tptp.hAPP @t1158 (tptp.hAPP @t3881 (tptp.hAPP @t342 @t296))) @t197))) % 6.62/6.86 (define @t4051 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3906 @t80 @t8) (tptp.hAPP (tptp.c_COMBB @t1065 tptp.tc_HOL_Obool @t39) @t180)) @t3899)) % 6.62/6.86 (define @t4052 () (tptp.hAPP @t3878 @t4051)) % 6.62/6.86 (define @t4053 () (@list @t180 @t39 @t8)) % 6.62/6.86 (define @t4054 () (tptp.hAPP (tptp.hAPP @t2557 @t2297) @t57)) % 6.62/6.86 (define @t4055 () (tptp.hAPP (tptp.c_COMBB @t4001 (tptp.tc_fun @t3713 @t4001) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t3873 tptp.tc_Int_Oint))) % 6.62/6.86 (define @t4056 () (tptp.c_COMBC tptp.tc_Int_Oint @t3713 @t4001)) % 6.62/6.86 (define @t4057 () (tptp.tc_fun tptp.tc_Int_Oint @t4010)) % 6.62/6.86 (define @t4058 () (tptp.hAPP (tptp.c_COMBB @t4057 (tptp.tc_fun @t4001 @t4001) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t3873 @t3873))) % 6.62/6.86 (define @t4059 () (tptp.c_COMBS tptp.tc_Int_Oint @t4001 @t4001)) % 6.62/6.86 (define @t4060 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t3873)) % 6.62/6.86 (define @t4061 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t1211 @t793)) % 6.62/6.86 (define @t4062 () (tptp.hAPP (tptp.hAPP @t3840 @t1211) @t793)) % 6.62/6.86 (define @t4063 () (tptp.hAPP @t3768 @t3591)) % 6.62/6.86 (define @t4064 () (tptp.c_Divides_Oadjust @t3591)) % 6.62/6.86 (define @t4065 () (tptp.c_Divides_OnegDivAlg @t2270 @t3591)) % 6.62/6.86 (define @t4066 () (tptp.hAPP @t2322 @t3591)) % 6.62/6.86 (define @t4067 () (tptp.hBOOL (tptp.hAPP @t2323 @t4066))) % 6.62/6.86 (define @t4068 () (tptp.hAPP @t3892 @t3862)) % 6.62/6.86 (define @t4069 () (tptp.hBOOL (tptp.hAPP @t2274 @t3591))) % 6.62/6.86 (define @t4070 () (tptp.c_Divides_OnegDivAlg @t403 @t407)) % 6.62/6.86 (define @t4071 () (tptp.hAPP (tptp.hAPP @t3892 @t2696) @t3129)) % 6.62/6.86 (define @t4072 () (tptp.c_Divides_Oadjust @t407)) % 6.62/6.86 (define @t4073 () (= @t4070 (tptp.hAPP @t4072 (tptp.c_Divides_OnegDivAlg @t403 @t3779)))) % 6.62/6.86 (define @t4074 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t407) @t2273))) % 6.62/6.86 (define @t4075 () (tptp.hBOOL (tptp.hAPP @t2323 @t3136))) % 6.62/6.86 (define @t4076 () (or @t4075 @t4074)) % 6.62/6.86 (define @t4077 () (= @t4070 (tptp.hAPP @t4068 @t3136))) % 6.62/6.86 (define @t4078 () (tptp.hAPP @t3768 @t3467)) % 6.62/6.86 (define @t4079 () (tptp.c_Divides_Oadjust @t3467)) % 6.62/6.86 (define @t4080 () (tptp.c_Divides_OnegDivAlg @t3591 @t3467)) % 6.62/6.86 (define @t4081 () (tptp.hAPP (tptp.hAPP @t2303 @t3591) @t3467)) % 6.62/6.86 (define @t4082 () (tptp.hBOOL (tptp.hAPP @t2323 @t4081))) % 6.62/6.86 (define @t4083 () (tptp.hBOOL (tptp.hAPP @t2274 @t3467))) % 6.62/6.86 (define @t4084 () (tptp.hAPP @t3919 @t3)) % 6.62/6.86 (define @t4085 () (tptp.hAPP @t4084 @t3)) % 6.62/6.86 (define @t4086 () (tptp.hAPP @t3921 @t4085)) % 6.62/6.86 (define @t4087 () (tptp.hBOOL (tptp.hAPP @t4086 @t725))) % 6.62/6.86 (define @t4088 () (tptp.c_Divides_OposDivAlg @t2270 @t3591)) % 6.62/6.86 (define @t4089 () (tptp.hBOOL (tptp.hAPP @t2658 @t3591))) % 6.62/6.86 (define @t4090 () (tptp.c_Divides_OposDivAlg @t403 @t407)) % 6.62/6.86 (define @t4091 () (= @t4090 (tptp.hAPP @t4072 (tptp.c_Divides_OposDivAlg @t403 @t3779)))) % 6.62/6.86 (define @t4092 () (or @t2649 @t4074)) % 6.62/6.86 (define @t4093 () (= @t4090 (tptp.hAPP @t3946 @t403))) % 6.62/6.86 (define @t4094 () (tptp.c_Divides_OposDivAlg @t3591 @t3467)) % 6.62/6.86 (define @t4095 () (tptp.hAPP @t2268 @t3591)) % 6.62/6.86 (define @t4096 () (tptp.hBOOL (tptp.hAPP @t4095 @t3467))) % 6.62/6.86 (define @t4097 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t2598 @t2597))) % 6.62/6.86 (define @t4098 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t2598 @t2597))) % 6.62/6.86 (define @t4099 () (tptp.hBOOL (tptp.hAPP @t2323 @t407))) % 6.62/6.86 (define @t4100 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t4101 () (tptp.c_Divides_Odivmod__nat @t793 @t1211)) % 6.62/6.86 (define @t4102 () (tptp.c_Divides_Opdivmod @t1199 @t1455)) % 6.62/6.86 (define @t4103 () (tptp.hAPP (tptp.hAPP @t4060 (tptp.hAPP (tptp.hAPP @t4059 (tptp.hAPP @t4058 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3873 @t4057 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3873 @t4010) (tptp.hAPP @t4011 @t3848))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t3873) (tptp.hAPP @t4002 @t2266)) @t2273)))) (tptp.hAPP (tptp.hAPP @t4056 (tptp.hAPP @t4055 (tptp.hAPP @t4002 (tptp.hAPP (tptp.hAPP @t2557 (tptp.hAPP (tptp.hAPP @t3714 @t2297) @t2266)) @t2270)))) (tptp.hAPP @t2297 (tptp.hAPP @t3194 @t1455))))) @t4102)) % 6.62/6.86 (define @t4104 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1455)) % 6.62/6.86 (define @t4105 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t2246 @t4104))) % 6.62/6.86 (define @t4106 () (tptp.c_Divides_Odivmod__int @t1199 @t1455)) % 6.62/6.86 (define @t4107 () (= @t1455 @t2273)) % 6.62/6.86 (define @t4108 () (not @t4107)) % 6.62/6.86 (define @t4109 () (=> @t4107 (= @t4106 (tptp.hAPP @t3946 @t1199)))) % 6.62/6.86 (define @t4110 () (=> @t2634 (= @t4106 @t3947))) % 6.62/6.86 (define @t4111 () (tptp.c_Product__Type_OPair @t8 @t125)) % 6.62/6.86 (define @t4112 () (tptp.hAPP (tptp.hAPP @t4111 @t60) @t109)) % 6.62/6.86 (define @t4113 () (tptp.c_Product__Type_Oapsnd @t125 @t39 @t8 @t2)) % 6.62/6.86 (define @t4114 () (tptp.hAPP @t4100 @t1975)) % 6.62/6.86 (define @t4115 () (tptp.hAPP @t4114 @t793)) % 6.62/6.86 (define @t4116 () (tptp.hAPP (tptp.hAPP @t4100 @t2715) @t3166)) % 6.62/6.86 (define @t4117 () (@var "V_qr" $$unsorted)) % 6.62/6.86 (define @t4118 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t4119 () (tptp.tc_fun tptp.tc_Nat_Onat @t4118)) % 6.62/6.86 (define @t4120 () (tptp.c_Divides_Odivmod__nat @t307 @t1196)) % 6.62/6.86 (define @t4121 () (or @t1987 @t1198)) % 6.62/6.86 (define @t4122 () (tptp.hAPP @t3194 @t1208)) % 6.62/6.86 (define @t4123 () (tptp.hAPP @t3194 @t1216)) % 6.62/6.86 (define @t4124 () (tptp.c_Divides_Opdivmod @t1216 @t1208)) % 6.62/6.86 (define @t4125 () (= @t1208 @t2273)) % 6.62/6.86 (define @t4126 () (tptp.hAPP @t3921 (tptp.hAPP @t4084 @t206))) % 6.62/6.86 (define @t4127 () (tptp.hBOOL (tptp.hAPP @t4126 @t725))) % 6.62/6.86 (define @t4128 () (= @t5 @t1173)) % 6.62/6.86 (define @t4129 () (tptp.hAPP @t3181 @t2120)) % 6.62/6.86 (define @t4130 () (tptp.hAPP (tptp.hAPP @t4100 @t1471) @t2120)) % 6.62/6.86 (define @t4131 () (tptp.c_Divides_Odivmod__nat__rel @t407 @t404)) % 6.62/6.86 (define @t4132 () (@var "V_qr_H" $$unsorted)) % 6.62/6.86 (define @t4133 () (tptp.c_Divides_Odivmod__nat__rel @t793 @t1211)) % 6.62/6.86 (define @t4134 () (tptp.hBOOL (tptp.hAPP @t4133 @t4117))) % 6.62/6.86 (define @t4135 () (tptp.c_Divides_Odivmod__nat__rel @t307 @t1196)) % 6.62/6.86 (define @t4136 () (tptp.hBOOL (tptp.hAPP @t4133 @t4130))) % 6.62/6.86 (define @t4137 () (@list @t2120 @t1471 @t1211 @t793)) % 6.62/6.86 (define @t4138 () (tptp.hAPP (tptp.hAPP @t1223 @t3984) @t3983)) % 6.62/6.86 (define @t4139 () (tptp.hAPP @t3768 @t57)) % 6.62/6.86 (define @t4140 () (tptp.c_Divides_OnegDivAlg @t13 @t57)) % 6.62/6.86 (define @t4141 () (tptp.hBOOL (tptp.hAPP @t2640 @t2273))) % 6.62/6.86 (define @t4142 () (tptp.hAPP @t3782 @t57)) % 6.62/6.86 (define @t4143 () (or (tptp.hBOOL (tptp.hAPP @t2323 @t4142)) @t4141)) % 6.62/6.86 (define @t4144 () (tptp.hAPP (tptp.hAPP @t3892 @t13) @t57)) % 6.62/6.86 (define @t4145 () (tptp.c_Wellfounded_Oaccp @t3873 tptp.c_Divides_OnegDivAlg__rel)) % 6.62/6.86 (define @t4146 () (tptp.c_Divides_OposDivAlg @t13 @t57)) % 6.62/6.86 (define @t4147 () (or (tptp.hBOOL (tptp.hAPP @t2617 @t57)) @t4141)) % 6.62/6.86 (define @t4148 () (tptp.c_Wellfounded_Oaccp @t3873 tptp.c_Divides_OposDivAlg__rel)) % 6.62/6.86 (define @t4149 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t3189 @t3592))) % 6.62/6.86 (define @t4150 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.62/6.86 (define @t4151 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2270 @t3591)) % 6.62/6.86 (define @t4152 () (tptp.hBOOL (tptp.hAPP @t4095 @t2273))) % 6.62/6.86 (define @t4153 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t8 @t125) @t60)) % 6.62/6.86 (define @t4154 () (tptp.hAPP @t4113 @t60)) % 6.62/6.86 (define @t4155 () (tptp.c_Product__Type_Osnd @t39 @t125)) % 6.62/6.86 (define @t4156 () (tptp.hAPP @t4155 @t60)) % 6.62/6.86 (define @t4157 () (tptp.c_Product__Type_Osnd @t39 @t8)) % 6.62/6.86 (define @t4158 () (@list @t60 @t2 @t125 @t8 @t39)) % 6.62/6.86 (define @t4159 () (tptp.hAPP @t4157 @t2488)) % 6.62/6.86 (define @t4160 () (tptp.c_Product__Type_OPair @t3489 @t372)) % 6.62/6.86 (define @t4161 () (tptp.c_Product__Type_Osnd @t3489 @t372)) % 6.62/6.86 (define @t4162 () (tptp.c_Wellfounded_Oaccp @t3873 tptp.c_Nitpick_Onorm__frac__rel)) % 6.62/6.86 (define @t4163 () (@var "V_a0_2" $$unsorted)) % 6.62/6.86 (define @t4164 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 @t4163) @t193))) % 6.62/6.86 (define @t4165 () (tptp.hAPP @t180 @t287)) % 6.62/6.86 (define @t4166 () (tptp.hBOOL (tptp.hAPP @t4165 @t2207))) % 6.62/6.86 (define @t4167 () (tptp.hBOOL (tptp.hAPP @t4165 (tptp.hAPP @t3768 @t2207)))) % 6.62/6.86 (define @t4168 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2207) @t2273))) % 6.62/6.86 (define @t4169 () (tptp.hAPP (tptp.hAPP @t3892 @t287) @t2207)) % 6.62/6.86 (define @t4170 () (tptp.hAPP (tptp.hAPP @t3892 @t4163) @t193)) % 6.62/6.86 (define @t4171 () (@list @t180 @t193 @t4163)) % 6.62/6.86 (define @t4172 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t4173 () (@var "V_R1_2" $$unsorted)) % 6.62/6.86 (define @t4174 () (@var "V_R2_2" $$unsorted)) % 6.62/6.86 (define @t4175 () (tptp.c_Orderings_Oord__class_Oless__eq @t3356)) % 6.62/6.86 (define @t4176 () (@list @t4174 @t4173 @t8)) % 6.62/6.86 (define @t4177 () (forall @t7 (not @t4087))) % 6.62/6.86 (define @t4178 () (tptp.c_Wellfounded_Oaccp @t8 @t725)) % 6.62/6.86 (define @t4179 () (tptp.hAPP @t725 @t3)) % 6.62/6.86 (define @t4180 () (tptp.hBOOL (tptp.hAPP @t4178 @t13))) % 6.62/6.86 (define @t4181 () (@list @t13 @t725 @t8)) % 6.62/6.86 (define @t4182 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t725 @t13) @t57))) % 6.62/6.86 (define @t4183 () (tptp.c_Nitpick_Onat__gcd @t60 @t109)) % 6.62/6.86 (define @t4184 () (= @t109 @t1975)) % 6.62/6.86 (define @t4185 () (tptp.hAPP (tptp.hAPP @t4100 @t60) @t109)) % 6.62/6.86 (define @t4186 () (tptp.c_Wellfounded_Oaccp @t4118 tptp.c_Nitpick_Onat__gcd__rel)) % 6.62/6.86 (define @t4187 () (@var "V_nat" $$unsorted)) % 6.62/6.86 (define @t4188 () (tptp.hAPP tptp.c_Nat_OSuc @t4187)) % 6.62/6.86 (define @t4189 () (@list @t4187)) % 6.62/6.86 (define @t4190 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t64) @t489))) % 6.62/6.86 (define @t4191 () (tptp.c_Wellfounded_Omeasure @t8)) % 6.62/6.86 (define @t4192 () (tptp.hAPP @t4191 @t2)) % 6.62/6.86 (define @t4193 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.62/6.86 (define @t4194 () (tptp.hAPP @t3587 @t3591)) % 6.62/6.86 (define @t4195 () (tptp.tc_fun @t1443 @t1443)) % 6.62/6.86 (define @t4196 () (tptp.tc_fun tptp.tc_Nat_Onat @t4195)) % 6.62/6.86 (define @t4197 () (tptp.tc_fun tptp.tc_Nat_Onat @t1443)) % 6.62/6.86 (define @t4198 () (tptp.hAPP tptp.c_Int_ORep__Integ @t142)) % 6.62/6.86 (define @t4199 () (tptp.hAPP (tptp.hAPP @t4100 @t3) @t206)) % 6.62/6.86 (define @t4200 () (tptp.c_Product__Type_Ofst @t8 @t39)) % 6.62/6.86 (define @t4201 () (@list @t60 @t2 @t125 @t39 @t8)) % 6.62/6.86 (define @t4202 () (tptp.hAPP @t4200 @t2488)) % 6.62/6.86 (define @t4203 () (tptp.hAPP tptp.c_Int_ORep__Integ @t60)) % 6.62/6.86 (define @t4204 () (tptp.c_Product__Type_Ofst @t372 @t3489)) % 6.62/6.86 (define @t4205 () (@list @t407 @t403 @t3489 @t372)) % 6.62/6.86 (define @t4206 () (tptp.hAPP (tptp.hAPP @t4031 @t371) @t381)) % 6.62/6.86 (define @t4207 () (tptp.c_Product__Type_Osnd @t8 @t39)) % 6.62/6.86 (define @t4208 () (tptp.c_Product__Type_Osnd @t372 @t3489)) % 6.62/6.86 (define @t4209 () (tptp.hAPP @t4208 @t1477)) % 6.62/6.86 (define @t4210 () (tptp.hAPP @t4204 @t1477)) % 6.62/6.86 (define @t4211 () (tptp.hAPP @t4155 @t2488)) % 6.62/6.86 (define @t4212 () (tptp.c_Product__Type_Ofst @t39 @t125)) % 6.62/6.86 (define @t4213 () (tptp.hAPP @t4212 @t2488)) % 6.62/6.86 (define @t4214 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t1065 @t39 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t80 @t1065) @t180) @t4200)) @t4207)) % 6.62/6.86 (define @t4215 () (tptp.hAPP @t3878 @t180)) % 6.62/6.86 (define @t4216 () (tptp.hAPP @t3931 @t60)) % 6.62/6.86 (define @t4217 () (tptp.hAPP @t4216 @t109)) % 6.62/6.86 (define @t4218 () (tptp.c_Product__Type_Ofst @t39 @t8)) % 6.62/6.86 (define @t4219 () (tptp.hAPP @t180 @t109)) % 6.62/6.86 (define @t4220 () (tptp.hAPP (tptp.hAPP @t3899 @t2488) @t2747)) % 6.62/6.86 (define @t4221 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t4222 () (@var "V_qr_2" $$unsorted)) % 6.62/6.86 (define @t4223 () (tptp.hAPP @t4172 @t4222)) % 6.62/6.86 (define @t4224 () (tptp.hAPP @t4221 @t4222)) % 6.62/6.86 (define @t4225 () (tptp.tc_fun @t39 @t3929)) % 6.62/6.86 (define @t4226 () (tptp.tc_fun @t8 @t3929)) % 6.62/6.86 (define @t4227 () (tptp.tc_fun @t3929 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4228 () (tptp.tc_fun @t4227 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4229 () (tptp.tc_fun @t8 @t4228)) % 6.62/6.86 (define @t4230 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t8 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4231 () (tptp.c_Set_OCollect @t3400)) % 6.62/6.86 (define @t4232 () (tptp.c_Relation_Oinv__image @t39 @t8)) % 6.62/6.86 (define @t4233 () (tptp.hAPP (tptp.hAPP @t4232 @t725) @t2)) % 6.62/6.86 (define @t4234 () (tptp.c_Wellfounded_Omlex__prod @t8 @t2 @t200)) % 6.62/6.86 (define @t4235 () (tptp.hBOOL (tptp.hAPP @t3974 @t4234))) % 6.62/6.86 (define @t4236 () (tptp.hBOOL (tptp.hAPP @t3974 @t200))) % 6.62/6.86 (define @t4237 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t64) @t489))) % 6.62/6.86 (define @t4238 () (@list @t200 @t8 @t109 @t60 @t2)) % 6.62/6.86 (define @t4239 () (@var "V_code__numeral" $$unsorted)) % 6.62/6.86 (define @t4240 () (tptp.c_Code__Numeral_OSuc__code__numeral @t4239)) % 6.62/6.86 (define @t4241 () (@list @t4239)) % 6.62/6.86 (define @t4242 () (@var "V_code__numeral_H_2" $$unsorted)) % 6.62/6.86 (define @t4243 () (@var "V_code__numeral_2" $$unsorted)) % 6.62/6.86 (define @t4244 () (tptp.c_Code__Numeral_OSuc__code__numeral @t4243)) % 6.62/6.86 (define @t4245 () (@var "V_code__numeral_H_1" $$unsorted)) % 6.62/6.86 (define @t4246 () (@var "V_code__numeral_H" $$unsorted)) % 6.62/6.86 (define @t4247 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.86 (define @t4248 () (tptp.c_Relation_Oinv__image @t8 @t39)) % 6.62/6.86 (define @t4249 () (tptp.tc_prod @t4227 @t4227)) % 6.62/6.86 (define @t4250 () (tptp.tc_fun @t4227 @t4249)) % 6.62/6.86 (define @t4251 () (tptp.tc_fun @t167 @t4250)) % 6.62/6.86 (define @t4252 () (tptp.tc_fun @t167 @t4227)) % 6.62/6.86 (define @t4253 () (tptp.tc_fun @t167 @t4249)) % 6.62/6.86 (define @t4254 () (tptp.tc_fun @t4252 @t4253)) % 6.62/6.86 (define @t4255 () (tptp.tc_fun @t3401 @t4253)) % 6.62/6.86 (define @t4256 () (tptp.tc_fun @t3401 @t4252)) % 6.62/6.86 (define @t4257 () (tptp.c_FunDef_Orp__inv__image @t8 @t39)) % 6.62/6.86 (define @t4258 () (tptp.tc_prod @t52 @t52)) % 6.62/6.86 (define @t4259 () (tptp.c_Wellfounded_Ofinite__psubset @t8)) % 6.62/6.86 (define @t4260 () (tptp.c_Product__Type_OPair @t52 @t52)) % 6.62/6.86 (define @t4261 () (tptp.c_member @t4258)) % 6.62/6.86 (define @t4262 () (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP @t4260 @t45) @t74))) % 6.62/6.86 (define @t4263 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t4264 () (tptp.c_Product__Type_OPair @t1065 @t1065)) % 6.62/6.86 (define @t4265 () (tptp.c_member (tptp.tc_prod @t1065 @t1065))) % 6.62/6.86 (define @t4266 () (tptp.c_Recdef_Osame__fst @t8 @t39 @t180 @t200)) % 6.62/6.86 (define @t4267 () (@var "V_y_H_2" $$unsorted)) % 6.62/6.86 (define @t4268 () (tptp.hAPP @t200 @t60)) % 6.62/6.86 (define @t4269 () (tptp.tc_fun @t3401 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4270 () (tptp.hAPP (tptp.c_COMBB @t3400 @t4269 @t8) @t3921)) % 6.62/6.86 (define @t4271 () (tptp.tc_fun @t8 @t4269)) % 6.62/6.86 (define @t4272 () (tptp.tc_fun @t8 @t3400)) % 6.62/6.86 (define @t4273 () (tptp.c_COMBC @t8 @t3401 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4274 () (tptp.hAPP (tptp.c_COMBC @t8 @t3401 @t52) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4271 (tptp.tc_fun @t3401 @t52) @t8) @t4273) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4272 @t4271 @t8) @t4270) @t3919)))) % 6.62/6.86 (define @t4275 () (tptp.c_Product__Type_Osnd @t4045 @t125)) % 6.62/6.86 (define @t4276 () (tptp.c_Product__Type_Oapfst @t4045 @t8 @t125 @t1)) % 6.62/6.86 (define @t4277 () (@list @t60 @t1 @t4045 @t2 @t8 @t39 @t125)) % 6.62/6.86 (define @t4278 () (tptp.c_Product__Type_OPair @t125 @t39)) % 6.62/6.86 (define @t4279 () (tptp.c_Product__Type_Oapfst @t125 @t8 @t39 @t2)) % 6.62/6.86 (define @t4280 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t125 @t39) @t60)) % 6.62/6.86 (define @t4281 () (tptp.hAPP @t2 @t4280)) % 6.62/6.86 (define @t4282 () (tptp.hAPP @t4279 @t60)) % 6.62/6.86 (define @t4283 () (tptp.hAPP @t200 @t206)) % 6.62/6.86 (define @t4284 () (tptp.hAPP @t200 @t3)) % 6.62/6.86 (define @t4285 () (= @t4284 @t4283)) % 6.62/6.86 (define @t4286 () (tptp.hBOOL (tptp.hAPP @t4284 @t206))) % 6.62/6.86 (define @t4287 () (tptp.c_Equiv__Relations_Oequivp @t8 @t200)) % 6.62/6.86 (define @t4288 () (@list @t200 @t8)) % 6.62/6.86 (define @t4289 () (tptp.hBOOL (tptp.hAPP @t4268 @t60))) % 6.62/6.86 (define @t4290 () (@list @t60 @t200 @t8)) % 6.62/6.86 (define @t4291 () (tptp.hAPP @t200 @t109)) % 6.62/6.86 (define @t4292 () (tptp.hBOOL (tptp.hAPP @t4268 @t109))) % 6.62/6.86 (define @t4293 () (=> @t4292 (tptp.hBOOL (tptp.hAPP @t4291 @t60)))) % 6.62/6.86 (define @t4294 () (@list @t109 @t60 @t200 @t8)) % 6.62/6.86 (define @t4295 () (=> @t4292 (=> (tptp.hBOOL (tptp.hAPP @t4291 @t142)) (tptp.hBOOL (tptp.hAPP @t4268 @t142))))) % 6.62/6.86 (define @t4296 () (@list @t142 @t109 @t60 @t200 @t8)) % 6.62/6.86 (define @t4297 () (tptp.c_Product__Type_Osnd @t125 @t4045)) % 6.62/6.86 (define @t4298 () (tptp.hAPP @t1 (tptp.hAPP @t4297 @t60))) % 6.62/6.86 (define @t4299 () (tptp.c_Product__Type_Ofst @t125 @t4045)) % 6.62/6.86 (define @t4300 () (tptp.hAPP @t2 (tptp.hAPP @t4299 @t60))) % 6.62/6.86 (define @t4301 () (@list @t60 @t1 @t4045 @t2 @t39 @t8 @t125)) % 6.62/6.86 (define @t4302 () (tptp.c_Product__Type_OPair @t4118 @t4118)) % 6.62/6.86 (define @t4303 () (tptp.tc_prod @t4118 @t4118)) % 6.62/6.86 (define @t4304 () (tptp.c_member @t4303)) % 6.62/6.86 (define @t4305 () (tptp.hAPP @t4304 (tptp.hAPP (tptp.hAPP @t4302 (tptp.hAPP (tptp.hAPP @t4100 @t13) @t2757)) (tptp.hAPP (tptp.hAPP @t4100 @t57) @t29)))) % 6.62/6.86 (define @t4306 () (tptp.hBOOL (tptp.hAPP @t4305 tptp.c_FunDef_Opair__less))) % 6.62/6.86 (define @t4307 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t13) @t57))) % 6.62/6.86 (define @t4308 () (@list @t29 @t2757 @t57 @t13)) % 6.62/6.86 (define @t4309 () (tptp.tc_prod tptp.tc_Nat_Onat @t8)) % 6.62/6.86 (define @t4310 () (tptp.c_member @t4118)) % 6.62/6.86 (define @t4311 () (tptp.hBOOL (tptp.hAPP @t4305 tptp.c_FunDef_Opair__leq))) % 6.62/6.86 (define @t4312 () (@var "V_YS_2" $$unsorted)) % 6.62/6.86 (define @t4313 () (tptp.c_Set_Oinsert @t4118)) % 6.62/6.86 (define @t4314 () (tptp.hAPP @t4313 @t109)) % 6.62/6.86 (define @t4315 () (@var "V_XS_2" $$unsorted)) % 6.62/6.86 (define @t4316 () (tptp.tc_fun @t4118 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4317 () (tptp.c_Product__Type_OPair @t4316 @t4316)) % 6.62/6.86 (define @t4318 () (tptp.hAPP @t4317 @t4315)) % 6.62/6.86 (define @t4319 () (tptp.tc_prod @t4316 @t4316)) % 6.62/6.86 (define @t4320 () (tptp.c_member @t4319)) % 6.62/6.86 (define @t4321 () (tptp.hAPP @t4320 (tptp.hAPP @t4318 (tptp.hAPP @t4314 @t4312)))) % 6.62/6.86 (define @t4322 () (tptp.hAPP @t4320 (tptp.hAPP @t4318 @t4312))) % 6.62/6.86 (define @t4323 () (tptp.hAPP @t4304 (tptp.hAPP (tptp.hAPP @t4302 @t60) @t109))) % 6.62/6.86 (define @t4324 () (tptp.hBOOL (tptp.hAPP @t4323 tptp.c_FunDef_Opair__less))) % 6.62/6.86 (define @t4325 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4310 @t60) @t4315))) % 6.62/6.86 (define @t4326 () (@list @t4312 @t109 @t4315 @t60)) % 6.62/6.86 (define @t4327 () (tptp.hAPP @t4313 @t60)) % 6.62/6.86 (define @t4328 () (tptp.hAPP @t4317 @t215)) % 6.62/6.86 (define @t4329 () (tptp.hAPP @t4310 @t109)) % 6.62/6.86 (define @t4330 () (tptp.c_Orderings_Obot__class_Obot @t4316)) % 6.62/6.86 (define @t4331 () (tptp.hAPP @t4320 (tptp.hAPP @t4328 @t4330))) % 6.62/6.86 (define @t4332 () (@list @t215)) % 6.62/6.86 (define @t4333 () (tptp.hAPP @t4317 @t4330)) % 6.62/6.86 (define @t4334 () (tptp.c_Finite__Set_Ofinite @t4118)) % 6.62/6.86 (define @t4335 () (tptp.hBOOL (tptp.hAPP @t4323 tptp.c_FunDef_Opair__leq))) % 6.62/6.86 (define @t4336 () (tptp.c_Relation_OField @t8)) % 6.62/6.86 (define @t4337 () (tptp.hAPP @t4336 @t725)) % 6.62/6.86 (define @t4338 () (tptp.c_Set_Oinsert @t3400)) % 6.62/6.86 (define @t4339 () (@list @t725 @t57 @t13 @t8)) % 6.62/6.86 (define @t4340 () (tptp.hAPP @t4336 @t2757)) % 6.62/6.86 (define @t4341 () (tptp.hAPP @t3439 @t725)) % 6.62/6.86 (define @t4342 () (tptp.hBOOL (tptp.hAPP @t4341 @t2757))) % 6.62/6.86 (define @t4343 () (@list @t2757 @t725 @t8)) % 6.62/6.86 (define @t4344 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3401)) % 6.62/6.86 (define @t4345 () (tptp.hAPP @t4344 @t725)) % 6.62/6.86 (define @t4346 () (tptp.hAPP @t4345 @t2757)) % 6.62/6.86 (define @t4347 () (tptp.c_Finite__Set_Ofinite @t3400)) % 6.62/6.86 (define @t4348 () (tptp.hBOOL (tptp.hAPP @t4347 @t725))) % 6.62/6.86 (define @t4349 () (tptp.tc_fun @t4319 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4350 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4319) (tptp.hAPP @t4333 @t4330)) (tptp.c_Orderings_Obot__class_Obot @t4349))) % 6.62/6.86 (define @t4351 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4349)) % 6.62/6.86 (define @t4352 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t8 @t3400) @t3919) @t251)) % 6.62/6.86 (define @t4353 () (tptp.c_Relation_OId__on @t8 @t45)) % 6.62/6.86 (define @t4354 () (tptp.c_Wellfounded_Omax__ext @t8 @t200)) % 6.62/6.86 (define @t4355 () (@var "V_xa_2" $$unsorted)) % 6.62/6.86 (define @t4356 () (tptp.c_Product__Type_OPair @t4349 @t4349)) % 6.62/6.86 (define @t4357 () (tptp.c_FunDef_Oreduction__pair @t8 @t180)) % 6.62/6.86 (define @t4358 () (tptp.c_Relation_OImage @t4118 @t4118 tptp.c_Int_Ointrel)) % 6.62/6.86 (define @t4359 () (tptp.hAPP (tptp.hAPP @t1223 @t1426) @t109)) % 6.62/6.86 (define @t4360 () (tptp.hAPP @t1223 @t60)) % 6.62/6.86 (define @t4361 () (tptp.hAPP @t4360 @t640)) % 6.62/6.86 (define @t4362 () (tptp.hAPP (tptp.hAPP @t4100 @t1426) @t640)) % 6.62/6.86 (define @t4363 () (@list @t640 @t1426 @t109 @t60)) % 6.62/6.86 (define @t4364 () (tptp.c_Orderings_Otop__class_Otop @t4316)) % 6.62/6.86 (define @t4365 () (tptp.hAPP @t1302 @t109)) % 6.62/6.86 (define @t4366 () (tptp.hAPP @t1302 @t60)) % 6.62/6.86 (define @t4367 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4358 (tptp.hAPP (tptp.hAPP @t4313 @t4362) @t4330)))) % 6.62/6.86 (define @t4368 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4358 (tptp.hAPP (tptp.hAPP @t4313 @t4185) @t4330)))) % 6.62/6.86 (define @t4369 () (tptp.hAPP @t4100 @t307)) % 6.62/6.86 (define @t4370 () (tptp.tc_fun @t4316 @t4316)) % 6.62/6.86 (define @t4371 () (tptp.tc_fun tptp.tc_Nat_Onat @t4370)) % 6.62/6.86 (define @t4372 () (tptp.tc_fun tptp.tc_Nat_Onat @t4316)) % 6.62/6.86 (define @t4373 () (tptp.hAPP @t3079 @t4243)) % 6.62/6.86 (define @t4374 () (@list @t4243 @t3079 @t169 @t8)) % 6.62/6.86 (define @t4375 () (tptp.c_member @t4316)) % 6.62/6.86 (define @t4376 () (tptp.c_Wellfounded_Oacc @t8 @t725)) % 6.62/6.86 (define @t4377 () (tptp.hBOOL (tptp.hAPP @t87 @t4376))) % 6.62/6.86 (define @t4378 () (tptp.hAPP @t4274 @t725)) % 6.62/6.86 (define @t4379 () (@list @t60 @t725 @t8)) % 6.62/6.86 (define @t4380 () (tptp.tc_prod @t125 @t39)) % 6.62/6.86 (define @t4381 () (tptp.c_member @t4380)) % 6.62/6.86 (define @t4382 () (tptp.tc_fun @t4380 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4383 () (tptp.tc_fun @t4382 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4384 () (tptp.tc_fun @t125 @t4383)) % 6.62/6.86 (define @t4385 () (tptp.tc_prod @t8 @t125)) % 6.62/6.86 (define @t4386 () (tptp.c_member @t4385)) % 6.62/6.86 (define @t4387 () (tptp.tc_fun @t4385 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4388 () (tptp.tc_fun @t4387 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4389 () (tptp.tc_fun @t125 @t4388)) % 6.62/6.86 (define @t4390 () (tptp.tc_fun @t125 @t218)) % 6.62/6.86 (define @t4391 () (tptp.tc_fun @t438 @t438)) % 6.62/6.86 (define @t4392 () (tptp.c_Relation_Orel__comp @t8 @t125 @t39)) % 6.62/6.86 (define @t4393 () (tptp.hAPP (tptp.hAPP @t4392 @t725) @t2757)) % 6.62/6.86 (define @t4394 () (tptp.c_Relation_Orel__comp @t8 @t39 @t125)) % 6.62/6.86 (define @t4395 () (tptp.hAPP (tptp.hAPP @t4394 @t725) @t2757)) % 6.62/6.86 (define @t4396 () (tptp.hAPP @t4392 @t2757)) % 6.62/6.86 (define @t4397 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4045 @t1066) @t1742)) % 6.62/6.86 (define @t4398 () (@list @t200 @t39 @t125 @t8)) % 6.62/6.86 (define @t4399 () (tptp.hAPP @t4392 @t200)) % 6.62/6.86 (define @t4400 () (@var "V_s_H_2" $$unsorted)) % 6.62/6.86 (define @t4401 () (tptp.c_Orderings_Oord__class_Oless__eq @t4387)) % 6.62/6.86 (define @t4402 () (tptp.c_Orderings_Oord__class_Oless__eq @t3949)) % 6.62/6.86 (define @t4403 () (tptp.c_Relation_Orel__comp @t8 @t8 @t8)) % 6.62/6.86 (define @t4404 () (tptp.hAPP @t4403 @t45)) % 6.62/6.86 (define @t4405 () (= (tptp.hAPP @t4404 @t447) @t3440)) % 6.62/6.86 (define @t4406 () (tptp.hBOOL (tptp.hAPP @t129 @t4376))) % 6.62/6.86 (define @t4407 () (tptp.hBOOL (tptp.hAPP @t66 @t4376))) % 6.62/6.86 (define @t4408 () (@list @t725 @t13 @t8)) % 6.62/6.86 (define @t4409 () (tptp.hBOOL (tptp.hAPP @t59 @t4376))) % 6.62/6.86 (define @t4410 () (tptp.tc_fun @t4258 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4411 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4258) (tptp.hAPP (tptp.hAPP @t4260 @t53) @t53)) (tptp.c_Orderings_Obot__class_Obot @t4410))) % 6.62/6.86 (define @t4412 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4410)) % 6.62/6.86 (define @t4413 () (tptp.c_Relation_Orel__comp @t52 @t52 @t52)) % 6.62/6.86 (define @t4414 () (tptp.c_Orderings_Oord__class_Oless__eq @t4410)) % 6.62/6.86 (define @t4415 () (tptp.hAPP @t4403 @t200)) % 6.62/6.86 (define @t4416 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 (tptp.hAPP @t4415 @t199)) @t200))) % 6.62/6.86 (define @t4417 () (tptp.c_Wellfounded_Omin__ext @t8 @t200)) % 6.62/6.86 (define @t4418 () (@var "V_Abs_2" $$unsorted)) % 6.62/6.86 (define @t4419 () (@var "V_Rep_2" $$unsorted)) % 6.62/6.86 (define @t4420 () (tptp.c_Typedef_Otype__definition @t8 @t39 @t4419 @t4418 @t45)) % 6.62/6.86 (define @t4421 () (@list @t45 @t4418 @t4419 @t39 @t8)) % 6.62/6.86 (define @t4422 () (tptp.hAPP @t4418 @t109)) % 6.62/6.86 (define @t4423 () (tptp.hBOOL (tptp.hAPP @t498 @t45))) % 6.62/6.86 (define @t4424 () (@list @t109 @t60 @t45 @t4418 @t4419 @t39 @t8)) % 6.62/6.86 (define @t4425 () (tptp.hAPP @t4419 @t60)) % 6.62/6.86 (define @t4426 () (@list @t60 @t45 @t4418 @t4419 @t39 @t8)) % 6.62/6.86 (define @t4427 () (tptp.hAPP @t3907 @t725)) % 6.62/6.86 (define @t4428 () (tptp.c_Wellfounded_Owf @t8 @t200)) % 6.62/6.86 (define @t4429 () (tptp.hBOOL (tptp.hAPP @t4284 @t453))) % 6.62/6.86 (define @t4430 () (tptp.hBOOL (tptp.hAPP @t456 @t192))) % 6.62/6.86 (define @t4431 () (tptp.hBOOL (tptp.hAPP @t129 @t193))) % 6.62/6.86 (define @t4432 () (not @t561)) % 6.62/6.86 (define @t4433 () (tptp.hBOOL (tptp.hAPP @t42 @t192))) % 6.62/6.86 (define @t4434 () (tptp.hBOOL (tptp.hAPP @t42 @t193))) % 6.62/6.86 (define @t4435 () (tptp.c_Predicate_Opred__comp @t8 @t39 @t125 @t725 @t2757)) % 6.62/6.86 (define @t4436 () (tptp.hAPP (tptp.hAPP @t4248 @t725) @t2)) % 6.62/6.86 (define @t4437 () (tptp.c_Wellfounded_Owf @t8 @t725)) % 6.62/6.86 (define @t4438 () (@list @t2 @t39 @t725 @t8)) % 6.62/6.86 (define @t4439 () (@var "V_rb_2" $$unsorted)) % 6.62/6.86 (define @t4440 () (@var "V_ra_2" $$unsorted)) % 6.62/6.86 (define @t4441 () (tptp.hAPP @t4415 @t200)) % 6.62/6.86 (define @t4442 () (@list @t2488 @t725 @t8)) % 6.62/6.86 (define @t4443 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4444 () (tptp.c_Set_OCollect @t4118)) % 6.62/6.86 (define @t4445 () (tptp.hAPP @t725 @t193)) % 6.62/6.86 (define @t4446 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3401)) % 6.62/6.86 (define @t4447 () (@list @t3424 @t725 @t8)) % 6.62/6.86 (define @t4448 () (tptp.hAPP @t4446 @t725)) % 6.62/6.86 (define @t4449 () (tptp.hAPP @t3921 (tptp.hAPP @t3968 @t13))) % 6.62/6.86 (define @t4450 () (tptp.hBOOL (tptp.hAPP @t4449 @t725))) % 6.62/6.86 (define @t4451 () (tptp.hAPP @t4344 @t200)) % 6.62/6.86 (define @t4452 () (tptp.hAPP @t4451 @t199)) % 6.62/6.86 (define @t4453 () (tptp.c_Wellfounded_Owf @t8 @t4452)) % 6.62/6.86 (define @t4454 () (tptp.c_Relation_OImage @t8 @t8 @t200)) % 6.62/6.86 (define @t4455 () (tptp.c_Wellfounded_Owf @t8 @t199)) % 6.62/6.86 (define @t4456 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t3401 @t3401) @t180)) % 6.62/6.86 (define @t4457 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t3401 @t3401) @t180)) % 6.62/6.86 (define @t4458 () (tptp.hAPP @t3439 @t199)) % 6.62/6.86 (define @t4459 () (tptp.hAPP @t3439 @t200)) % 6.62/6.86 (define @t4460 () (tptp.c_List_Olenlex @t8 @t725)) % 6.62/6.86 (define @t4461 () (tptp.tc_List_Olist @t8)) % 6.62/6.86 (define @t4462 () (tptp.hAPP @t3921 (tptp.hAPP @t4084 @t453))) % 6.62/6.86 (define @t4463 () (tptp.hBOOL (tptp.hAPP @t4462 @t200))) % 6.62/6.86 (define @t4464 () (tptp.hBOOL (tptp.hAPP @t456 @t250))) % 6.62/6.86 (define @t4465 () (tptp.hBOOL (tptp.hAPP @t129 @t215))) % 6.62/6.86 (define @t4466 () (not (= @t250 @t53))) % 6.62/6.86 (define @t4467 () (tptp.hBOOL (tptp.hAPP @t42 @t250))) % 6.62/6.86 (define @t4468 () (tptp.hBOOL (tptp.hAPP @t42 @t215))) % 6.62/6.86 (define @t4469 () (@list @t200 @t250 @t215 @t8)) % 6.62/6.86 (define @t4470 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1443 tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t4471 () (tptp.c_List_Olex @t8 @t725)) % 6.62/6.86 (define @t4472 () (tptp.c_List_Olexn @t8 @t725)) % 6.62/6.86 (define @t4473 () (tptp.hAPP @t4472 @t1196)) % 6.62/6.86 (define @t4474 () (@list @t1196 @t725 @t8)) % 6.62/6.86 (define @t4475 () (tptp.tc_prod @t4461 @t4461)) % 6.62/6.86 (define @t4476 () (tptp.tc_fun @t4475 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4477 () (tptp.hAPP @t3382 @t180)) % 6.62/6.86 (define @t4478 () (tptp.c_HOL_OEx @t39)) % 6.62/6.86 (define @t4479 () (tptp.c_COMBB @t80 tptp.tc_HOL_Obool @t8)) % 6.62/6.86 (define @t4480 () (tptp.hAPP @t4479 @t4478)) % 6.62/6.86 (define @t4481 () (tptp.hAPP (tptp.c_Set_OCollect @t3428) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t39 @t8 tptp.tc_HOL_Obool) @t180))) % 6.62/6.86 (define @t4482 () (tptp.c_Relation_ORange @t39 @t8)) % 6.62/6.86 (define @t4483 () (@list @t180 @t8 @t39)) % 6.62/6.86 (define @t4484 () (tptp.hAPP (tptp.c_Relation_ORange @t8 @t39) @t725)) % 6.62/6.86 (define @t4485 () (@list @t725 @t57 @t13 @t39 @t8)) % 6.62/6.86 (define @t4486 () (tptp.c_Relation_ORange @t8 @t8)) % 6.62/6.86 (define @t4487 () (tptp.hAPP @t4482 @t74)) % 6.62/6.86 (define @t4488 () (tptp.hAPP @t4482 @t45)) % 6.62/6.86 (define @t4489 () (tptp.c_Orderings_Obot__class_Obot @t3429)) % 6.62/6.86 (define @t4490 () (tptp.hAPP @t4482 @t725)) % 6.62/6.86 (define @t4491 () (@list @t725 @t8 @t39)) % 6.62/6.86 (define @t4492 () (@list @t8 @t39)) % 6.62/6.86 (define @t4493 () (tptp.hBOOL (tptp.hAPP @t1068 @t725))) % 6.62/6.86 (define @t4494 () (@list @t725 @t39 @t8)) % 6.62/6.86 (define @t4495 () (@list @t725 @t39 @t13 @t8)) % 6.62/6.86 (define @t4496 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3429)) % 6.62/6.86 (define @t4497 () (tptp.c_Predicate_ORangeP @t8 @t39 @t725)) % 6.62/6.86 (define @t4498 () (@list @t39 @t8 @t57 @t13 @t725)) % 6.62/6.86 (define @t4499 () (tptp.c_Nitpick_Ofrac @t372)) % 6.62/6.86 (define @t4500 () (tptp.c_Relation_ODomain @t8 @t8)) % 6.62/6.86 (define @t4501 () (tptp.hAPP @t4500 @t725)) % 6.62/6.86 (define @t4502 () (tptp.c_Relation_ODomain @t8 @t39)) % 6.62/6.86 (define @t4503 () (tptp.hAPP @t4502 @t725)) % 6.62/6.86 (define @t4504 () (tptp.hBOOL (tptp.hAPP @t66 @t4503))) % 6.62/6.86 (define @t4505 () (tptp.hAPP @t3425 @t725)) % 6.62/6.86 (define @t4506 () (tptp.hBOOL (tptp.hAPP @t4505 @t2757))) % 6.62/6.86 (define @t4507 () (@list @t2757 @t725 @t39 @t8)) % 6.62/6.86 (define @t4508 () (tptp.hAPP @t4502 @t74)) % 6.62/6.86 (define @t4509 () (tptp.hAPP @t4502 @t45)) % 6.62/6.86 (define @t4510 () (@list @t200 @t39 @t8)) % 6.62/6.86 (define @t4511 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3902 (tptp.hAPP @t3938 @t206)) @t725))) % 6.62/6.86 (define @t4512 () (tptp.c_Set_Oinsert @t1065)) % 6.62/6.86 (define @t4513 () (tptp.hAPP @t4512 @t3939)) % 6.62/6.86 (define @t4514 () (tptp.c_Groups_Ominus__class_Ominus @t1066)) % 6.62/6.86 (define @t4515 () (tptp.hAPP @t4486 @t725)) % 6.62/6.86 (define @t4516 () (tptp.hAPP @t1140 @t45)) % 6.62/6.86 (define @t4517 () (tptp.c_Product__Type_OSigma @t8 @t39)) % 6.62/6.86 (define @t4518 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t3906 @t125) @t3899) @t2)) % 6.62/6.86 (define @t4519 () (tptp.c_Predicate_ODomainP @t8 @t39 @t725)) % 6.62/6.86 (define @t4520 () (tptp.hAPP @t4517 @t45)) % 6.62/6.86 (define @t4521 () (tptp.hAPP @t4520 @t74)) % 6.62/6.86 (define @t4522 () (tptp.hBOOL (tptp.hAPP @t3940 @t4521))) % 6.62/6.86 (define @t4523 () (tptp.hAPP @t1739 @t447)) % 6.62/6.86 (define @t4524 () (tptp.c_Product__Type_OSigma @t39 @t8)) % 6.62/6.86 (define @t4525 () (tptp.hAPP (tptp.hAPP @t4524 @t74) @t4523)) % 6.62/6.86 (define @t4526 () (tptp.hAPP @t4524 @t45)) % 6.62/6.86 (define @t4527 () (tptp.hAPP @t4526 @t4523)) % 6.62/6.86 (define @t4528 () (tptp.hBOOL (tptp.hAPP @t87 @t447))) % 6.62/6.86 (define @t4529 () (@list @t74 @t45 @t39 @t447 @t60 @t8)) % 6.62/6.86 (define @t4530 () (tptp.hAPP @t1736 @t74)) % 6.62/6.86 (define @t4531 () (tptp.hAPP @t4520 @t4530)) % 6.62/6.86 (define @t4532 () (tptp.c_Finite__Set_Ocard @t1065)) % 6.62/6.86 (define @t4533 () (tptp.c_COMBK @t438 @t39)) % 6.62/6.86 (define @t4534 () (tptp.c_Product__Type_OSigma @t39 @t125)) % 6.62/6.86 (define @t4535 () (tptp.hAPP (tptp.hAPP @t4534 @t45) (tptp.hAPP @t4533 @t74))) % 6.62/6.86 (define @t4536 () (tptp.hAPP @t1736 @t1058)) % 6.62/6.86 (define @t4537 () (tptp.c_Groups_Ouminus__class_Ouminus @t1066)) % 6.62/6.86 (define @t4538 () (tptp.hAPP @t4517 @t1021)) % 6.62/6.86 (define @t4539 () (tptp.hAPP @t1736 @t45)) % 6.62/6.86 (define @t4540 () (tptp.hAPP @t4517 @t1742)) % 6.62/6.86 (define @t4541 () (tptp.hAPP @t4540 @t74)) % 6.62/6.86 (define @t4542 () (tptp.hAPP @t4540 @t45)) % 6.62/6.86 (define @t4543 () (tptp.c_COMBS @t8 @t80 @t80)) % 6.62/6.86 (define @t4544 () (tptp.hAPP @t1736 @t447)) % 6.62/6.86 (define @t4545 () (tptp.hAPP @t4517 @t74)) % 6.62/6.86 (define @t4546 () (tptp.hAPP @t4545 @t4544)) % 6.62/6.86 (define @t4547 () (tptp.hAPP @t4520 @t4544)) % 6.62/6.86 (define @t4548 () (@list @t447 @t74 @t45 @t39 @t8)) % 6.62/6.86 (define @t4549 () (tptp.hAPP (tptp.hAPP @t4517 @t1776) @t447)) % 6.62/6.86 (define @t4550 () (tptp.hAPP @t4540 @t447)) % 6.62/6.86 (define @t4551 () (@list @t447 @t1776 @t1742 @t39 @t8)) % 6.62/6.86 (define @t4552 () (tptp.c_COMBK @t438 @t8)) % 6.62/6.86 (define @t4553 () (tptp.c_Product__Type_OSigma @t8 @t125)) % 6.62/6.86 (define @t4554 () (tptp.hAPP @t4553 @t45)) % 6.62/6.86 (define @t4555 () (tptp.hBOOL (tptp.hAPP @t4505 @t4531))) % 6.62/6.86 (define @t4556 () (tptp.hAPP @t4526 (tptp.hAPP @t1739 @t74))) % 6.62/6.86 (define @t4557 () (tptp.hAPP (tptp.c_COMBC @t8 @t39 @t1065) @t3899)) % 6.62/6.86 (define @t4558 () (tptp.hBOOL (tptp.hAPP @t1068 @t4531))) % 6.62/6.86 (define @t4559 () (tptp.c_COMBK @t52 @t8)) % 6.62/6.86 (define @t4560 () (tptp.c_Product__Type_OSigma @t8 @t8)) % 6.62/6.86 (define @t4561 () (tptp.hAPP (tptp.hAPP @t4560 @t45) (tptp.hAPP @t4559 @t45))) % 6.62/6.86 (define @t4562 () (tptp.hBOOL (tptp.hAPP @t4341 @t4561))) % 6.62/6.86 (define @t4563 () (@list @t74 @t45 @t57 @t13 @t39 @t8)) % 6.62/6.86 (define @t4564 () (tptp.hAPP @t504 @t45)) % 6.62/6.86 (define @t4565 () (tptp.c_Orderings_Oord__class_Oless__eq @t3429)) % 6.62/6.86 (define @t4566 () (tptp.hAPP @t4517 @t3291)) % 6.62/6.86 (define @t4567 () (tptp.hAPP @t3881 @t3295)) % 6.62/6.86 (define @t4568 () (@list @t179 @t180 @t39 @t8)) % 6.62/6.86 (define @t4569 () (tptp.hAPP (tptp.c_Set_Oimage @t3428 @t39 @t4218) @t4556)) % 6.62/6.86 (define @t4570 () (tptp.hAPP (tptp.c_Set_Oimage @t1065 @t39 @t4207) @t4531)) % 6.62/6.86 (define @t4571 () (tptp.hAPP @t4517 @t48)) % 6.62/6.86 (define @t4572 () (tptp.hAPP @t1736 (tptp.hAPP @t1654 @t74))) % 6.62/6.86 (define @t4573 () (@var "V_E_2" $$unsorted)) % 6.62/6.86 (define @t4574 () (tptp.tc_fun @t3879 @t1066)) % 6.62/6.86 (define @t4575 () (tptp.tc_fun @t4045 @t1066)) % 6.62/6.86 (define @t4576 () (tptp.tc_fun @t4045 @t3879)) % 6.62/6.86 (define @t4577 () (tptp.tc_fun @t4045 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4578 () (tptp.tc_prod @t125 @t4045)) % 6.62/6.86 (define @t4579 () (tptp.tc_fun @t1066 @t1066)) % 6.62/6.86 (define @t4580 () (tptp.tc_fun @t39 @t4579)) % 6.62/6.86 (define @t4581 () (tptp.tc_fun @t39 @t1066)) % 6.62/6.86 (define @t4582 () (tptp.c_Groups_Otimes__class_Otimes @t125)) % 6.62/6.86 (define @t4583 () (tptp.tc_fun @t125 @t125)) % 6.62/6.86 (define @t4584 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3335 @t3335) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4583 (tptp.tc_fun @t3335 @t3335) @t8) (tptp.c_COMBB @t125 @t125 @t39)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t125 @t4583 @t8) @t4582) @t2))) @t1)) % 6.62/6.86 (define @t4585 () (tptp.tc_fun @t3335 @t80)) % 6.62/6.86 (define @t4586 () (tptp.tc_fun @t8 @t3335)) % 6.62/6.86 (define @t4587 () (tptp.tc_fun @t39 @t218)) % 6.62/6.86 (define @t4588 () (tptp.tc_fun @t8 @t4587)) % 6.62/6.86 (define @t4589 () (tptp.tc_fun @t8 @t1157)) % 6.62/6.86 (define @t4590 () (tptp.c_Groups_Oone__class_Oone @t125)) % 6.62/6.86 (define @t4591 () (tptp.c_Finite__Set_Ofold__image @t125 @t39 @t4582)) % 6.62/6.86 (define @t4592 () (tptp.c_Finite__Set_Ofold__image @t125 @t8 @t4582)) % 6.62/6.86 (define @t4593 () (tptp.class_Groups_Ocomm__monoid__mult @t125)) % 6.62/6.86 (define @t4594 () (tptp.c_Fun_Oid @t8)) % 6.62/6.86 (define @t4595 () (tptp.c_Set_Oimage @t8 @t8 @t4594)) % 6.62/6.86 (define @t4596 () (tptp.c_Fun_Oid @t372)) % 6.62/6.86 (define @t4597 () (@var "V_x_1" $$unsorted)) % 6.62/6.86 (define @t4598 () (tptp.c_Fun_Oid @t1065)) % 6.62/6.86 (define @t4599 () (tptp.c_Fun_Oid @t39)) % 6.62/6.86 (define @t4600 () (@list @t74 @t2 @t8 @t39)) % 6.62/6.86 (define @t4601 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t39 @t125)) % 6.62/6.86 (define @t4602 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t8 @t125)) % 6.62/6.86 (define @t4603 () (@list @t2 @t74 @t39 @t45 @t8 @t125)) % 6.62/6.86 (define @t4604 () (tptp.hAPP @t3899 @t3)) % 6.62/6.86 (define @t4605 () (tptp.hAPP @t4604 @t206)) % 6.62/6.86 (define @t4606 () (tptp.hAPP @t61 @t206)) % 6.62/6.86 (define @t4607 () (tptp.hAPP @t3902 @t82)) % 6.62/6.86 (define @t4608 () (tptp.tc_prod @t39 @t4045)) % 6.62/6.86 (define @t4609 () (tptp.c_Set_Oimage @t4608 @t4385 (tptp.c_Product__Type_Omap__pair @t39 @t8 @t4045 @t125 @t2 @t1))) % 6.62/6.86 (define @t4610 () (tptp.c_Orderings_Otop__class_Otop @t438)) % 6.62/6.86 (define @t4611 () (tptp.c_Set_Oimage @t4045 @t125 @t1)) % 6.62/6.86 (define @t4612 () (tptp.c_Product__Type_Omap__pair @t8 @t125 @t39 @t4045 @t2 @t1)) % 6.62/6.86 (define @t4613 () (tptp.hAPP @t1 @t57)) % 6.62/6.86 (define @t4614 () (tptp.c_Product__Type_OPair @t125 @t4045)) % 6.62/6.86 (define @t4615 () (tptp.c_member @t4578)) % 6.62/6.86 (define @t4616 () (tptp.c_Product__Type_Omap__pair @t125 @t8 @t4045 @t39 @t2 @t1)) % 6.62/6.86 (define @t4617 () (tptp.c_Product__Type_Omap__pair @t8 @t8 @t39 @t39 @t251 (tptp.c_COMBI @t39))) % 6.62/6.86 (define @t4618 () (tptp.tc_fun @t4045 @t4578)) % 6.62/6.86 (define @t4619 () (tptp.tc_fun @t39 @t4578)) % 6.62/6.86 (define @t4620 () (tptp.tc_fun @t39 @t4045)) % 6.62/6.86 (define @t4621 () (@var "V_B_H_2" $$unsorted)) % 6.62/6.86 (define @t4622 () (= @t56 @t544)) % 6.62/6.86 (define @t4623 () (forall @t7 (=> @t130 @t4087))) % 6.62/6.86 (define @t4624 () (tptp.c_Relation_Orefl__on @t8 @t45 @t725)) % 6.62/6.86 (define @t4625 () (tptp.hAPP @t4231 (tptp.hAPP @t4230 @t725))) % 6.62/6.86 (define @t4626 () (tptp.c_Wellfounded_OwfP @t8 @t725)) % 6.62/6.86 (define @t4627 () (tptp.c_Relation_Orefl__on @t8 @t74 @t2757)) % 6.62/6.86 (define @t4628 () (@list @t2757 @t74 @t725 @t45 @t8)) % 6.62/6.86 (define @t4629 () (tptp.hAPP @t4448 @t2757)) % 6.62/6.86 (define @t4630 () (tptp.c_Predicate_Oreflp @t8 @t725)) % 6.62/6.86 (define @t4631 () (@list @t45 @t725 @t8)) % 6.62/6.86 (define @t4632 () (tptp.c_Wellfounded_Oacyclic @t8 @t4625)) % 6.62/6.86 (define @t4633 () (tptp.c_Wellfounded_Oacyclic @t8 @t725)) % 6.62/6.86 (define @t4634 () (@list @t725 @t2757 @t8)) % 6.62/6.86 (define @t4635 () (tptp.hAPP @t725 @t60)) % 6.62/6.86 (define @t4636 () (tptp.hBOOL @t4219)) % 6.62/6.86 (define @t4637 () (tptp.hAPP tptp.c_Int_ORep__Integ @t3)) % 6.62/6.86 (define @t4638 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4375 @t109) tptp.c_Int_OInteg))) % 6.62/6.86 (define @t4639 () (@list @t180 @t109)) % 6.62/6.86 (define @t4640 () (@list @t109)) % 6.62/6.86 (define @t4641 () (tptp.hAPP @t3921 @t3)) % 6.62/6.86 (define @t4642 () (tptp.hBOOL (tptp.hAPP @t4641 @t725))) % 6.62/6.86 (define @t4643 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t206)) % 6.62/6.86 (define @t4644 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4375 @t206) tptp.c_Int_OInteg))) % 6.62/6.86 (define @t4645 () (@list @t60 @t180)) % 6.62/6.86 (define @t4646 () (tptp.hBOOL (tptp.hAPP @t129 @t53))) % 6.62/6.86 (define @t4647 () (tptp.hBOOL @t1741)) % 6.62/6.86 (define @t4648 () (tptp.hAPP @t1649 @t45)) % 6.62/6.86 (define @t4649 () (tptp.hAPP @t1650 (tptp.hAPP @t3331 (tptp.hAPP (tptp.hAPP @t3329 tptp.c_fimplies) @t4648)))) % 6.62/6.86 (define @t4650 () (tptp.hAPP @t4479 (tptp.c_HOL_OAll @t39))) % 6.62/6.86 (define @t4651 () (tptp.tc_fun @t1714 @t80)) % 6.62/6.86 (define @t4652 () (tptp.hAPP @t3406 (tptp.hAPP @t344 (tptp.hAPP @t3312 @t340)))) % 6.62/6.86 (define @t4653 () (tptp.hAPP @t216 (tptp.c_HOL_OAll @t8))) % 6.62/6.86 (define @t4654 () (tptp.hAPP @t725 @t2131)) % 6.62/6.86 (define @t4655 () (tptp.hAPP @t725 @t1029)) % 6.62/6.86 (define @t4656 () (tptp.hAPP @t2587 @t142)) % 6.62/6.86 (define @t4657 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t52 @t1898 tptp.tc_HOL_Obool) @t1828) @t45)) % 6.62/6.86 (define @t4658 () (tptp.c_COMBB @t1898 @t1898 @t8)) % 6.62/6.86 (define @t4659 () (tptp.c_COMBB @t1898 tptp.tc_HOL_Obool @t8)) % 6.62/6.86 (define @t4660 () (tptp.c_Fun_Ocomp @t39 @t39 @t8 @t4599)) % 6.62/6.86 (define @t4661 () (tptp.hAPP @t13 (tptp.hAPP @t57 @t640))) % 6.62/6.86 (define @t4662 () (= @t4661 (tptp.hAPP @t82 @t640))) % 6.62/6.86 (define @t4663 () (tptp.hAPP (tptp.c_Fun_Ocomp @t125 @t39 @t8 @t13) @t57)) % 6.62/6.86 (define @t4664 () (@list @t640 @t82 @t57 @t13 @t8 @t39 @t125)) % 6.62/6.86 (define @t4665 () (tptp.c_Fun_Ocomp @t39 @t39 @t39 @t64)) % 6.62/6.86 (define @t4666 () (= (tptp.hAPP @t4665 @t64) @t64)) % 6.62/6.86 (define @t4667 () (tptp.c_Fun_Ocomp @t125 @t39 @t8 @t2)) % 6.62/6.86 (define @t4668 () (tptp.hAPP @t4667 @t1)) % 6.62/6.86 (define @t4669 () (tptp.hAPP (tptp.c_Fun_Ocomp @t125 @t39 @t8 @t1) @t2)) % 6.62/6.86 (define @t4670 () (tptp.hAPP (tptp.c_Fun_Ocomp @t125 @t39 @t4045 @t2) @t1)) % 6.62/6.86 (define @t4671 () (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t8 @t125 @t2) @t1)) % 6.62/6.86 (define @t4672 () (tptp.hAPP @t4671 @t60)) % 6.62/6.86 (define @t4673 () (= @t4663 (tptp.hAPP (tptp.c_Fun_Ocomp @t4045 @t39 @t8 @t82) @t149))) % 6.62/6.86 (define @t4674 () (@var "B_v" $$unsorted)) % 6.62/6.86 (define @t4675 () (@var "B_P" $$unsorted)) % 6.62/6.86 (define @t4676 () (tptp.c_Hilbert__Choice_OEps @t8 @t180)) % 6.62/6.86 (define @t4677 () (tptp.hBOOL (tptp.hAPP @t180 @t4676))) % 6.62/6.86 (define @t4678 () (@var "V_x_H_2" $$unsorted)) % 6.62/6.86 (define @t4679 () (@var "V_g_H_2" $$unsorted)) % 6.62/6.86 (define @t4680 () (@var "V_f_H_2" $$unsorted)) % 6.62/6.86 (define @t4681 () (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t39 @t39 @t489) @t64)) % 6.62/6.86 (define @t4682 () (tptp.hAPP @t4665 @t489)) % 6.62/6.86 (define @t4683 () (@list @t8 @t180)) % 6.62/6.86 (define @t4684 () (tptp.hAPP @t324 @t60)) % 6.62/6.86 (define @t4685 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t39 @t125 @t2) @t1)) % 6.62/6.86 (define @t4686 () (tptp.c_Fun_Ocomp @t8 @t125 @t39 @t1)) % 6.62/6.86 (define @t4687 () (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t125 @t8 @t4680) @t2)) % 6.62/6.86 (define @t4688 () (tptp.c_Fun_Ocomp @t39 @t125 @t8 @t1)) % 6.62/6.86 (define @t4689 () (tptp.hAPP @t4688 @t2)) % 6.62/6.86 (define @t4690 () (@var "V_prod_2" $$unsorted)) % 6.62/6.86 (define @t4691 () (@var "T_h" $$unsorted)) % 6.62/6.86 (define @t4692 () (@var "V_g2_2" $$unsorted)) % 6.62/6.86 (define @t4693 () (@var "V_g1_2" $$unsorted)) % 6.62/6.86 (define @t4694 () (tptp.tc_prod @t4044 @t4691)) % 6.62/6.86 (define @t4695 () (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t125 @t8 @t38) @t2)) % 6.62/6.86 (define @t4696 () (tptp.hAPP @t646 @t4695)) % 6.62/6.86 (define @t4697 () (@list @t38 @t74 @t2 @t39 @t8 @t125)) % 6.62/6.86 (define @t4698 () (tptp.hAPP @t4601 @t38)) % 6.62/6.86 (define @t4699 () (= (tptp.hAPP @t4698 @t74) (tptp.hAPP (tptp.hAPP @t4602 @t1) @t45))) % 6.62/6.86 (define @t4700 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t39 @t8 @t1) @t38)) % 6.62/6.86 (define @t4701 () (tptp.hAPP @t222 @t45)) % 6.62/6.86 (define @t4702 () (tptp.c_Fun_Oinj__on @t8 @t8 @t38 @t45)) % 6.62/6.86 (define @t4703 () (@list @t1 @t38 @t45 @t8 @t39)) % 6.62/6.86 (define @t4704 () (tptp.hAPP (tptp.c_Set_Oimage @t125 @t8 @t1) @t45)) % 6.62/6.86 (define @t4705 () (tptp.hBOOL (tptp.hAPP @t62 (tptp.hAPP @t92 @t4704)))) % 6.62/6.86 (define @t4706 () (tptp.c_Fun_Oinj__on @t125 @t8 @t1 @t45)) % 6.62/6.86 (define @t4707 () (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t4704)) % 6.62/6.86 (define @t4708 () (@list @t60 @t45 @t1 @t125 @t2 @t39 @t8)) % 6.62/6.86 (define @t4709 () (tptp.hAPP @t4591 @t1)) % 6.62/6.86 (define @t4710 () (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t39 @t39 @t240) @t64)) % 6.62/6.86 (define @t4711 () (tptp.c_Finite__Set_Ofolding @t8 @t39 @t2 @t37)) % 6.62/6.86 (define @t4712 () (@list @t60 @t45 @t37 @t2 @t39 @t8)) % 6.62/6.86 (define @t4713 () (tptp.c_Finite__Set_Ofolding__image @t8 @t39 @t2 @t142 @t37)) % 6.62/6.86 (define @t4714 () (tptp.c_Fun_Ocomp @t39 @t39 @t39 @t173)) % 6.62/6.86 (define @t4715 () (tptp.hAPP @t4714 @t528)) % 6.62/6.86 (define @t4716 () (= @t1180 @t4715)) % 6.62/6.86 (define @t4717 () (@list @t74 @t45 @t37 @t2 @t39 @t8)) % 6.62/6.86 (define @t4718 () (tptp.c_Fun_Ocomp @t39 @t39 @t125 @t489)) % 6.62/6.86 (define @t4719 () (tptp.c_Fun_Ocomp @t39 @t39 @t125 @t64)) % 6.62/6.86 (define @t4720 () (tptp.hAPP @t4719 @t1)) % 6.62/6.86 (define @t4721 () (tptp.tc_prod @t4045 @t125)) % 6.62/6.86 (define @t4722 () (tptp.hAPP (tptp.hAPP @t37 @t38) @t45)) % 6.62/6.86 (define @t4723 () (@list @t38 @t1 @t45 @t37 @t142 @t2 @t39 @t8)) % 6.62/6.86 (define @t4724 () (tptp.hAPP @t4714 @t64)) % 6.62/6.86 (define @t4725 () (tptp.c_Fun_Ocomp @t39 @t39 @t125 @t173)) % 6.62/6.86 (define @t4726 () (tptp.hAPP @t4725 @t1)) % 6.62/6.86 (define @t4727 () (tptp.c_Fun_Ocomp @t39 @t39 @t125 @t528)) % 6.62/6.86 (define @t4728 () (= @t175 @t4724)) % 6.62/6.86 (define @t4729 () (tptp.c_Hoare__Mirabelle_Opeek__and @t8 @t180 (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate tptp.c_fNot) @t57))) % 6.62/6.86 (define @t4730 () (tptp.hAPP (tptp.hAPP @t22 (tptp.c_Hoare__Mirabelle_Opeek__and @t8 @t180 @t57)) @t82)) % 6.62/6.86 (define @t4731 () (tptp.hAPP @t92 @t199)) % 6.62/6.86 (define @t4732 () (= @t3 @t206)) % 6.62/6.86 (define @t4733 () (tptp.c_Finite__Set_Ofolding__idem @t8 @t39 @t2 @t37)) % 6.62/6.86 (define @t4734 () (tptp.c_Wellfounded_Oacc @t8 @t200)) % 6.62/6.86 (define @t4735 () (tptp.hAPP @t3919 @t3088)) % 6.62/6.86 (define @t4736 () (@list @t200 @t60 @t8)) % 6.62/6.86 (define @t4737 () (tptp.hAPP @t3919 @t206)) % 6.62/6.86 (define @t4738 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t39 @t125 @t4045 @t8) @t2) @t1) @t60)) % 6.62/6.86 (define @t4739 () (@list @t60 @t1 @t2 @t8 @t4045 @t125 @t39)) % 6.62/6.86 (define @t4740 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 6.62/6.86 (define @t4741 () (tptp.hAPP @t4310 (tptp.hAPP @t4369 @t1196))) % 6.62/6.86 (define @t4742 () (tptp.tc_fun @t4691 @t39)) % 6.62/6.86 (define @t4743 () (tptp.tc_fun @t4045 @t39)) % 6.62/6.86 (define @t4744 () (tptp.tc_fun @t125 @t4743)) % 6.62/6.86 (define @t4745 () (tptp.c_Transitive__Closure_Otrancl @t8 @t725)) % 6.62/6.86 (define @t4746 () (tptp.c_Wellfounded_Owf @t8 @t4745)) % 6.62/6.86 (define @t4747 () (forall @t7 (not (tptp.hBOOL (tptp.hAPP @t4086 @t4745))))) % 6.62/6.86 (define @t4748 () (tptp.hBOOL (tptp.hAPP @t3970 @t4745))) % 6.62/6.86 (define @t4749 () (tptp.hAPP @t3439 @t4745)) % 6.62/6.86 (define @t4750 () (tptp.hAPP @t3921 @t2488)) % 6.62/6.86 (define @t4751 () (tptp.hBOOL (tptp.hAPP @t4750 @t4745))) % 6.62/6.86 (define @t4752 () (tptp.hBOOL (tptp.hAPP @t4750 @t725))) % 6.62/6.86 (define @t4753 () (@list @t725 @t2488 @t8)) % 6.62/6.86 (define @t4754 () (tptp.hAPP @t3921 (tptp.hAPP @t3968 @t82))) % 6.62/6.86 (define @t4755 () (tptp.hBOOL (tptp.hAPP @t4754 @t4745))) % 6.62/6.86 (define @t4756 () (tptp.hAPP @t3919 @t57)) % 6.62/6.86 (define @t4757 () (tptp.hAPP @t3921 (tptp.hAPP @t4756 @t82))) % 6.62/6.86 (define @t4758 () (=> (tptp.hBOOL (tptp.hAPP @t4757 @t4745)) @t4755)) % 6.62/6.86 (define @t4759 () (@list @t82 @t725 @t57 @t13 @t8)) % 6.62/6.86 (define @t4760 () (tptp.hBOOL (tptp.hAPP @t4757 @t725))) % 6.62/6.86 (define @t4761 () (=> @t4760 @t4755)) % 6.62/6.86 (define @t4762 () (tptp.c_Transitive__Closure_Otrancl @t8 @t200)) % 6.62/6.86 (define @t4763 () (tptp.hAPP (tptp.hAPP @t3858 @t1199) @t3857)) % 6.62/6.86 (define @t4764 () (tptp.hAPP (tptp.c_Random_Oiterate @t39 @t8 @t1199 @t2) @t60)) % 6.62/6.86 (define @t4765 () (= @t1199 @t3843)) % 6.62/6.86 (define @t4766 () (not @t4765)) % 6.62/6.86 (define @t4767 () (@list @t60 @t2 @t8 @t39 @t1199)) % 6.62/6.86 (define @t4768 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t725)) % 6.62/6.86 (define @t4769 () (tptp.hAPP @t4344 @t4745)) % 6.62/6.86 (define @t4770 () (tptp.hAPP @t3920 @t60)) % 6.62/6.86 (define @t4771 () (tptp.hAPP (tptp.hAPP @t4338 @t4770) @t725)) % 6.62/6.86 (define @t4772 () (@list @t725 @t60 @t109 @t8)) % 6.62/6.86 (define @t4773 () (tptp.hBOOL (tptp.hAPP @t3970 @t4768))) % 6.62/6.86 (define @t4774 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t200)) % 6.62/6.86 (define @t4775 () (tptp.hAPP (tptp.hAPP @t4403 @t4768) @t725)) % 6.62/6.86 (define @t4776 () (tptp.hAPP @t4403 @t725)) % 6.62/6.86 (define @t4777 () (tptp.hAPP @t4776 @t4768)) % 6.62/6.86 (define @t4778 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t4452)) % 6.62/6.86 (define @t4779 () (tptp.hAPP @t3921 @t60)) % 6.62/6.86 (define @t4780 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t199)) % 6.62/6.86 (define @t4781 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t2757)) % 6.62/6.86 (define @t4782 () (tptp.hAPP @t3439 @t4768)) % 6.62/6.86 (define @t4783 () (tptp.hBOOL (tptp.hAPP @t4782 @t4781))) % 6.62/6.86 (define @t4784 () (tptp.hAPP @t4344 @t4774)) % 6.62/6.86 (define @t4785 () (tptp.hAPP @t4784 @t4780)) % 6.62/6.86 (define @t4786 () (tptp.hBOOL (tptp.hAPP @t4754 @t4768))) % 6.62/6.86 (define @t4787 () (tptp.hBOOL (tptp.hAPP @t4757 @t4768))) % 6.62/6.86 (define @t4788 () (=> @t4787 @t4786)) % 6.62/6.86 (define @t4789 () (tptp.hAPP @t3921 (tptp.hAPP @t3973 @t142))) % 6.62/6.86 (define @t4790 () (tptp.hBOOL (tptp.hAPP @t3974 @t4768))) % 6.62/6.86 (define @t4791 () (@list @t142 @t725 @t109 @t60 @t8)) % 6.62/6.86 (define @t4792 () (=> @t4787 @t4755)) % 6.62/6.86 (define @t4793 () (tptp.hBOOL (tptp.hAPP @t3974 @t4762))) % 6.62/6.86 (define @t4794 () (tptp.hBOOL (tptp.hAPP @t3974 @t4774))) % 6.62/6.86 (define @t4795 () (@list @t200 @t109 @t60 @t8)) % 6.62/6.86 (define @t4796 () (tptp.hAPP @t3921 (tptp.hAPP @t4756 @t13))) % 6.62/6.86 (define @t4797 () (tptp.hBOOL (tptp.hAPP @t4796 @t4768))) % 6.62/6.86 (define @t4798 () (not @t4790)) % 6.62/6.86 (define @t4799 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.86 (define @t4800 () (tptp.c_Random_Olog @t407 @t1261)) % 6.62/6.86 (define @t4801 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.86 (define @t4802 () (tptp.hAPP @t4801 @t1261)) % 6.62/6.86 (define @t4803 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.86 (define @t4804 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4803 @t407) @t3857)) (tptp.hBOOL (tptp.hAPP @t4802 @t407)))) % 6.62/6.86 (define @t4805 () (tptp.c_Random_Ominus__shift @t2120 @t1216 @t1208)) % 6.62/6.86 (define @t4806 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4801 @t1216) @t1208))) % 6.62/6.86 (define @t4807 () (not @t4806)) % 6.62/6.86 (define @t4808 () (tptp.c_Random_Oinc__shift @t2191 @t1216)) % 6.62/6.86 (define @t4809 () (= @t2191 @t1216)) % 6.62/6.86 (define @t4810 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.86 (define @t4811 () (tptp.hAPP @t4801 @t3843)) % 6.62/6.86 (define @t4812 () (tptp.hAPP @t3921 (tptp.hAPP @t3973 @t60))) % 6.62/6.86 (define @t4813 () (tptp.c_Relation_Oconverse @t8 @t8)) % 6.62/6.86 (define @t4814 () (tptp.hAPP @t4813 @t725)) % 6.62/6.86 (define @t4815 () (forall @t1033 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 (tptp.hAPP @t2 @t3448)) @t1030)) @t4768)))) % 6.62/6.86 (define @t4816 () (tptp.c_Relation_Oconverse @t39 @t8)) % 6.62/6.86 (define @t4817 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3429 @t1066 @t125) @t4816) @t725)) % 6.62/6.86 (define @t4818 () (@list @t725 @t199 @t125 @t8 @t39)) % 6.62/6.86 (define @t4819 () (@list @t2757 @t725 @t125 @t8 @t39)) % 6.62/6.86 (define @t4820 () (tptp.hAPP @t4816 @t2757)) % 6.62/6.86 (define @t4821 () (tptp.hAPP @t4816 @t725)) % 6.62/6.86 (define @t4822 () (@list @t2757 @t725 @t8 @t39)) % 6.62/6.86 (define @t4823 () (tptp.hAPP (tptp.c_Relation_Oconverse @t8 @t39) @t725)) % 6.62/6.86 (define @t4824 () (tptp.hAPP @t3933 (tptp.hAPP (tptp.hAPP @t3931 @t57) @t13))) % 6.62/6.86 (define @t4825 () (tptp.hBOOL (tptp.hAPP @t4824 @t725))) % 6.62/6.86 (define @t4826 () (tptp.hBOOL (tptp.hAPP @t3940 @t4821))) % 6.62/6.86 (define @t4827 () (tptp.hAPP @t4813 @t4745)) % 6.62/6.86 (define @t4828 () (tptp.c_Transitive__Closure_Otrancl @t8 @t4814)) % 6.62/6.86 (define @t4829 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t4814)) % 6.62/6.86 (define @t4830 () (tptp.c_Wellfounded_Owf @t8 @t4814)) % 6.62/6.86 (define @t4831 () (tptp.hAPP (tptp.hAPP @t4403 @t4814) @t725)) % 6.62/6.86 (define @t4832 () (= @t4831 @t725)) % 6.62/6.86 (define @t4833 () (tptp.hAPP @t4502 @t4821)) % 6.62/6.86 (define @t4834 () (tptp.hBOOL (tptp.hAPP @t3974 @t4829))) % 6.62/6.86 (define @t4835 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 @t4770) @t4768))) % 6.62/6.86 (define @t4836 () (@list @t725 @t109 @t60 @t8)) % 6.62/6.86 (define @t4837 () (tptp.hBOOL (tptp.hAPP @t3974 @t4828))) % 6.62/6.86 (define @t4838 () (tptp.hBOOL (tptp.hAPP @t3974 @t4827))) % 6.62/6.86 (define @t4839 () (tptp.tc_fun @t39 @t3979)) % 6.62/6.86 (define @t4840 () (tptp.c_Relation_OId @t8)) % 6.62/6.86 (define @t4841 () (tptp.hAPP @t4345 @t4840)) % 6.62/6.86 (define @t4842 () (@list @t109 @t60 @t725 @t8)) % 6.62/6.86 (define @t4843 () (tptp.c_Relation_Osingle__valued @t8 @t39 @t725)) % 6.62/6.86 (define @t4844 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3401) @t725) @t4840)) % 6.62/6.86 (define @t4845 () (tptp.hAPP @t4604 @t3088)) % 6.62/6.86 (define @t4846 () (@list @t142 @t109 @t60 @t725 @t8)) % 6.62/6.86 (define @t4847 () (tptp.c_Relation_Ototal__on @t8 @t45 @t725)) % 6.62/6.86 (define @t4848 () (tptp.c_Nat_Ocompow @t3400 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4849 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t3401) @t1444) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3401 @t3401) @t4848) @t200))) % 6.62/6.86 (define @t4850 () (tptp.hBOOL (tptp.hAPP @t4750 @t4774))) % 6.62/6.86 (define @t4851 () (@list @t200 @t2488 @t8)) % 6.62/6.86 (define @t4852 () (tptp.hAPP (tptp.hAPP @t4848 @t1196) @t200)) % 6.62/6.86 (define @t4853 () (@list @t1196 @t200 @t8)) % 6.62/6.86 (define @t4854 () (@list @t200 @t1196 @t8)) % 6.62/6.86 (define @t4855 () (tptp.c_Nat_Ocompow @t8 @t8)) % 6.62/6.86 (define @t4856 () (tptp.hAPP (tptp.hAPP @t4855 @t307) @t2)) % 6.62/6.86 (define @t4857 () (tptp.hAPP @t4855 @t1196)) % 6.62/6.86 (define @t4858 () (tptp.hAPP @t4857 @t2)) % 6.62/6.86 (define @t4859 () (tptp.hAPP (tptp.hAPP @t4403 @t4852) @t200)) % 6.62/6.86 (define @t4860 () (tptp.hBOOL (tptp.hAPP @t4750 (tptp.hAPP (tptp.hAPP @t4848 @t2315) @t200)))) % 6.62/6.86 (define @t4861 () (tptp.hAPP (tptp.hAPP @t4848 @t1879) @t200)) % 6.62/6.86 (define @t4862 () (tptp.hAPP (tptp.hAPP @t4848 @t1975) @t200)) % 6.62/6.86 (define @t4863 () (tptp.hBOOL (tptp.hAPP @t4789 @t4861))) % 6.62/6.86 (define @t4864 () (tptp.hAPP (tptp.hAPP @t4848 @t1280) @t200)) % 6.62/6.86 (define @t4865 () (tptp.hAPP @t3921 (tptp.hAPP @t4737 @t142))) % 6.62/6.86 (define @t4866 () (tptp.hAPP @t3921 (tptp.hAPP @t3973 @t206))) % 6.62/6.86 (define @t4867 () (tptp.hBOOL (tptp.hAPP @t4866 @t200))) % 6.62/6.86 (define @t4868 () (@list @t206 @t1280)) % 6.62/6.86 (define @t4869 () (=> @t1987 (not @t516))) % 6.62/6.86 (define @t4870 () (tptp.hBOOL (tptp.hAPP @t4789 @t4852))) % 6.62/6.86 (define @t4871 () (@list @t200 @t1196 @t142 @t60 @t8)) % 6.62/6.86 (define @t4872 () (not (tptp.hBOOL (tptp.hAPP @t4865 @t200)))) % 6.62/6.86 (define @t4873 () (tptp.c_Transitive__Closure_Ortrancl @t8 @t180)) % 6.62/6.86 (define @t4874 () (tptp.hBOOL (tptp.hAPP @t3970 @t4873))) % 6.62/6.86 (define @t4875 () (tptp.hAPP @t3921 (tptp.hAPP @t4737 @t3))) % 6.62/6.86 (define @t4876 () (tptp.hBOOL (tptp.hAPP @t3970 (tptp.c_Transitive__Closure_Ortrancl @t8 (tptp.hAPP (tptp.hAPP @t4344 @t180) @t179))))) % 6.62/6.86 (define @t4877 () (@list @t179 @t180 @t57 @t13 @t8)) % 6.62/6.86 (define @t4878 () (tptp.hBOOL (tptp.hAPP @t4865 @t4852))) % 6.62/6.86 (define @t4879 () (tptp.hAPP @t3921 (tptp.hAPP @t4735 @t109))) % 6.62/6.86 (define @t4880 () (tptp.hAPP @t3921 (tptp.hAPP @t3973 @t3088))) % 6.62/6.86 (define @t4881 () (tptp.hBOOL (tptp.hAPP @t1249 @t1029))) % 6.62/6.86 (define @t4882 () (@var "B_Q" $$unsorted)) % 6.62/6.86 (define @t4883 () (tptp.hBOOL (tptp.hAPP @t4875 @t725))) % 6.62/6.86 (define @t4884 () (tptp.hBOOL (tptp.hAPP @t129 @t4882))) % 6.62/6.86 (define @t4885 () (tptp.hBOOL @t2964)) % 6.62/6.86 (define @t4886 () (@var "V_xz_2" $$unsorted)) % 6.62/6.86 (define @t4887 () (@var "V_yx_2" $$unsorted)) % 6.62/6.86 (define @t4888 () (tptp.c_Nitpick_Odenom @t8)) % 6.62/6.86 (define @t4889 () (tptp.hAPP @t4888 @t725)) % 6.62/6.86 (define @t4890 () (tptp.hAPP @t2557 @t2584)) % 6.62/6.86 (define @t4891 () (tptp.c_Nitpick_Onum @t8)) % 6.62/6.86 (define @t4892 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.62/6.86 (define @t4893 () (tptp.hAPP @t4888 @t2747)) % 6.62/6.86 (define @t4894 () (@list @t725 @t2747 @t8)) % 6.62/6.86 (define @t4895 () (tptp.hAPP @t796 @t2124)) % 6.62/6.86 (define @t4896 () (tptp.class_Rings_Olinordered__semidom @t39)) % 6.62/6.86 (define @t4897 () (tptp.c_Nitpick_Odenom @t372)) % 6.62/6.86 (define @t4898 () (tptp.hAPP @t4897 @t1471)) % 6.62/6.86 (define @t4899 () (tptp.c_Nitpick_Onum @t372)) % 6.62/6.86 (define @t4900 () (tptp.hAPP @t4899 @t1471)) % 6.62/6.86 (define @t4901 () (tptp.c_Int_Oring__1__class_Oof__int @t3489)) % 6.62/6.86 (define @t4902 () (@list @t1471 @t372)) % 6.62/6.86 (define @t4903 () (tptp.hAPP @t4891 (tptp.c_Nitpick_Oplus__frac @t8 @t2747 (tptp.c_Nitpick_Ouminus__frac @t8 @t725)))) % 6.62/6.86 (define @t4904 () (tptp.c_Nitpick_ORep__Frac @t8)) % 6.62/6.86 (define @t4905 () (tptp.c_Nat_Osize__class_Osize @t4461)) % 6.62/6.86 (define @t4906 () (tptp.tc_prod tptp.tc_Nat_Onat @t4461)) % 6.62/6.86 (define @t4907 () (@var "V_ys" $$unsorted)) % 6.62/6.86 (define @t4908 () (@var "V_xs" $$unsorted)) % 6.62/6.86 (define @t4909 () (= @t4908 @t4907)) % 6.62/6.86 (define @t4910 () (tptp.tc_List_Olist @t372)) % 6.62/6.86 (define @t4911 () (tptp.c_Nat_Osize__class_Osize @t4910)) % 6.62/6.86 (define @t4912 () (tptp.hAPP @t4911 @t4907)) % 6.62/6.86 (define @t4913 () (tptp.hAPP @t4911 @t4908)) % 6.62/6.86 (define @t4914 () (@list @t4907 @t4908 @t372)) % 6.62/6.86 (define @t4915 () (@var "V_ys_2" $$unsorted)) % 6.62/6.86 (define @t4916 () (tptp.hAPP @t4905 @t4915)) % 6.62/6.86 (define @t4917 () (= @t4916 @t1196)) % 6.62/6.86 (define @t4918 () (@var "V_xs_2" $$unsorted)) % 6.62/6.86 (define @t4919 () (tptp.hAPP @t4905 @t4918)) % 6.62/6.86 (define @t4920 () (tptp.c_Product__Type_OPair @t4461 @t4461)) % 6.62/6.86 (define @t4921 () (tptp.hAPP @t4920 @t4918)) % 6.62/6.86 (define @t4922 () (tptp.c_member @t4475)) % 6.62/6.86 (define @t4923 () (tptp.hAPP @t4922 (tptp.hAPP @t4921 @t4915))) % 6.62/6.86 (define @t4924 () (tptp.tc_fun @t4476 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4925 () (tptp.tc_fun @t4461 @t4924)) % 6.62/6.86 (define @t4926 () (tptp.tc_fun @t4461 @t4475)) % 6.62/6.86 (define @t4927 () (tptp.tc_fun @t4461 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4928 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1443 @t4461)) % 6.62/6.86 (define @t4929 () (tptp.hAPP (tptp.hAPP @t4928 tptp.c_fequal) @t4905)) % 6.62/6.86 (define @t4930 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t4461)) % 6.62/6.86 (define @t4931 () (tptp.tc_fun @t4461 tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t4932 () (tptp.hAPP (tptp.c_COMBB @t1443 (tptp.tc_fun @t4931 @t4927) @t4461) @t4930)) % 6.62/6.86 (define @t4933 () (tptp.c_COMBC @t4461 @t4931 @t4927)) % 6.62/6.86 (define @t4934 () (tptp.hAPP (tptp.hAPP @t4933 (tptp.hAPP @t4932 @t4929)) @t4905)) % 6.62/6.86 (define @t4935 () (tptp.c_COMBB tptp.tc_HOL_Obool @t218 @t4461)) % 6.62/6.86 (define @t4936 () (tptp.hAPP @t4935 tptp.c_fconj)) % 6.62/6.86 (define @t4937 () (tptp.tc_fun @t4461 @t218)) % 6.62/6.86 (define @t4938 () (tptp.c_COMBB @t4927 @t4937 @t4461)) % 6.62/6.86 (define @t4939 () (tptp.c_COMBS @t4461 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4940 () (tptp.tc_fun @t4927 @t4927)) % 6.62/6.86 (define @t4941 () (tptp.hAPP (tptp.c_COMBB @t4937 @t4940 @t4461) @t4939)) % 6.62/6.86 (define @t4942 () (tptp.c_COMBS @t4461 @t4927 @t4927)) % 6.62/6.86 (define @t4943 () (tptp.c_Product__Type_Oprod_Oprod__case @t4461 @t4461 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4944 () (tptp.c_Set_OCollect @t4475)) % 6.62/6.86 (define @t4945 () (tptp.hAPP @t3275 @t4919)) % 6.62/6.86 (define @t4946 () (tptp.hAPP @t3279 (tptp.hAPP @t3278 @t4945))) % 6.62/6.86 (define @t4947 () (tptp.hAPP @t4946 (tptp.hAPP @t3277 @t1742))) % 6.62/6.86 (define @t4948 () (tptp.c_List_Osublist @t8 @t4918 @t1742)) % 6.62/6.86 (define @t4949 () (@list @t1742 @t4918 @t8)) % 6.62/6.86 (define @t4950 () (tptp.c_COMBC @t4461 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t4951 () (tptp.hAPP @t4950 @t4929)) % 6.62/6.86 (define @t4952 () (tptp.hAPP @t4951 @t1879)) % 6.62/6.86 (define @t4953 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4461)) % 6.62/6.86 (define @t4954 () (tptp.c_List_Olist_OCons @t8)) % 6.62/6.86 (define @t4955 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t4461 @t4461) @t4954)) % 6.62/6.86 (define @t4956 () (tptp.tc_prod @t8 @t4461)) % 6.62/6.86 (define @t4957 () (tptp.c_List_Olist_OCons @t372)) % 6.62/6.86 (define @t4958 () (tptp.hAPP @t4957 @t371)) % 6.62/6.86 (define @t4959 () (tptp.hAPP @t4958 @t4907)) % 6.62/6.86 (define @t4960 () (tptp.hAPP @t1144 @t4913)) % 6.62/6.86 (define @t4961 () (tptp.hAPP @t4958 @t4908)) % 6.62/6.86 (define @t4962 () (@list @t371 @t372 @t4908)) % 6.62/6.86 (define @t4963 () (@list @t4908 @t371 @t372)) % 6.62/6.86 (define @t4964 () (@var "V_list_H_2" $$unsorted)) % 6.62/6.86 (define @t4965 () (@var "V_list_2" $$unsorted)) % 6.62/6.86 (define @t4966 () (tptp.hAPP @t4954 @t13)) % 6.62/6.86 (define @t4967 () (tptp.hAPP @t4966 @t4965)) % 6.62/6.86 (define @t4968 () (@var "V_list" $$unsorted)) % 6.62/6.86 (define @t4969 () (tptp.hAPP @t4957 @t403)) % 6.62/6.86 (define @t4970 () (= @t4919 @t4916)) % 6.62/6.86 (define @t4971 () (tptp.hAPP @t4954 @t109)) % 6.62/6.86 (define @t4972 () (tptp.hAPP @t4971 @t4915)) % 6.62/6.86 (define @t4973 () (tptp.hAPP @t4954 @t60)) % 6.62/6.86 (define @t4974 () (tptp.hAPP @t4973 @t4918)) % 6.62/6.86 (define @t4975 () (tptp.hAPP @t4920 @t4974)) % 6.62/6.86 (define @t4976 () (tptp.hAPP @t4922 (tptp.hAPP @t4975 @t4972))) % 6.62/6.86 (define @t4977 () (@list @t725 @t4915 @t109 @t4918 @t60 @t8)) % 6.62/6.86 (define @t4978 () (tptp.c_member @t4461)) % 6.62/6.86 (define @t4979 () (tptp.hAPP (tptp.c_COMBC @t4461 @t4927 tptp.tc_HOL_Obool) @t4978)) % 6.62/6.86 (define @t4980 () (tptp.tc_fun @t4461 @t4461)) % 6.62/6.86 (define @t4981 () (tptp.tc_fun @t4980 @t4927)) % 6.62/6.86 (define @t4982 () (tptp.tc_fun @t8 @t4927)) % 6.62/6.86 (define @t4983 () (tptp.tc_fun @t8 @t4980)) % 6.62/6.86 (define @t4984 () (tptp.tc_fun @t8 @t4937)) % 6.62/6.86 (define @t4985 () (tptp.tc_fun @t8 @t4940)) % 6.62/6.86 (define @t4986 () (tptp.c_Set_OCollect @t4461)) % 6.62/6.86 (define @t4987 () (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t372) @t371)) % 6.62/6.86 (define @t4988 () (tptp.hAPP (tptp.c_Random_Opick @t372 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t372)) @t371) @t4908)) @t1261)) % 6.62/6.86 (define @t4989 () (tptp.hBOOL (tptp.hAPP @t4802 @t4987))) % 6.62/6.86 (define @t4990 () (tptp.c_Random_Oselect__weight @t8 @t4918)) % 6.62/6.86 (define @t4991 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 6.62/6.86 (define @t4992 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t8)) % 6.62/6.86 (define @t4993 () (@list @t4918 @t60 @t8)) % 6.62/6.86 (define @t4994 () (tptp.c_List_Olexord @t8 @t725)) % 6.62/6.86 (define @t4995 () (tptp.hAPP @t4920 @t60)) % 6.62/6.86 (define @t4996 () (tptp.hAPP @t4922 (tptp.hAPP @t4995 @t109))) % 6.62/6.86 (define @t4997 () (tptp.hBOOL (tptp.hAPP @t4996 @t4994))) % 6.62/6.86 (define @t4998 () (tptp.hAPP (tptp.hAPP @t4954 @t57) @t109)) % 6.62/6.86 (define @t4999 () (tptp.hAPP @t4966 @t60)) % 6.62/6.86 (define @t5000 () (tptp.hAPP @t4905 @t109)) % 6.62/6.86 (define @t5001 () (tptp.hAPP @t4905 @t60)) % 6.62/6.86 (define @t5002 () (= @t5001 @t5000)) % 6.62/6.86 (define @t5003 () (tptp.c_List_Olistrel1 @t8 @t725)) % 6.62/6.86 (define @t5004 () (tptp.c_Transitive__Closure_Ortrancl @t4461 @t5003)) % 6.62/6.86 (define @t5005 () (tptp.hBOOL (tptp.hAPP @t4923 @t5004))) % 6.62/6.86 (define @t5006 () (@list @t4915 @t4918 @t725 @t109 @t60 @t8)) % 6.62/6.86 (define @t5007 () (tptp.hAPP @t1223 (tptp.hAPP @t2203 @t13))) % 6.62/6.86 (define @t5008 () (tptp.c_Wellfounded_Oacc @t4461 @t5003)) % 6.62/6.86 (define @t5009 () (tptp.hAPP @t4978 @t4974)) % 6.62/6.86 (define @t5010 () (tptp.hAPP @t4978 @t4918)) % 6.62/6.86 (define @t5011 () (tptp.hBOOL (tptp.hAPP @t5010 @t5008))) % 6.62/6.86 (define @t5012 () (tptp.c_Orderings_Oord__class_Oless__eq @t4476)) % 6.62/6.86 (define @t5013 () (tptp.hAPP @t5012 @t5003)) % 6.62/6.86 (define @t5014 () (tptp.hAPP (tptp.c_Relation_Oconverse @t4461 @t4461) @t5003)) % 6.62/6.86 (define @t5015 () (tptp.c_List_Olistrel1 @t8 @t4814)) % 6.62/6.86 (define @t5016 () (tptp.hAPP @t4922 (tptp.hAPP @t4975 (tptp.hAPP @t4973 @t4915)))) % 6.62/6.86 (define @t5017 () (@list @t60 @t725 @t4915 @t4918 @t8)) % 6.62/6.86 (define @t5018 () (tptp.hBOOL (tptp.hAPP @t4923 @t5003))) % 6.62/6.86 (define @t5019 () (@list @t725 @t4915 @t4918 @t8)) % 6.62/6.86 (define @t5020 () (= @t4918 @t4915)) % 6.62/6.86 (define @t5021 () (tptp.c_Orderings_Obot__class_Obot @t4927)) % 6.62/6.86 (define @t5022 () (tptp.c_Set_Oinsert @t4461)) % 6.62/6.86 (define @t5023 () (tptp.c_List_Olistrel @t8 @t725)) % 6.62/6.86 (define @t5024 () (tptp.c_Relation_OImage @t4461 @t4461 @t5023)) % 6.62/6.86 (define @t5025 () (tptp.hAPP @t4920 @t109)) % 6.62/6.86 (define @t5026 () (tptp.c_List_Olistrel @t8 @t4768)) % 6.62/6.86 (define @t5027 () (@list @t725 @t4918 @t8)) % 6.62/6.86 (define @t5028 () (tptp.hAPP @t5012 @t5023)) % 6.62/6.86 (define @t5029 () (tptp.hBOOL (tptp.hAPP @t4923 @t5023))) % 6.62/6.86 (define @t5030 () (@var "V_zs_2" $$unsorted)) % 6.62/6.86 (define @t5031 () (tptp.hAPP @t4920 @t4915)) % 6.62/6.86 (define @t5032 () (tptp.hBOOL (tptp.hAPP @t4923 @t5026))) % 6.62/6.86 (define @t5033 () (@var "B_xs" $$unsorted)) % 6.62/6.86 (define @t5034 () (tptp.hAPP @t4954 @t3)) % 6.62/6.86 (define @t5035 () (tptp.hAPP @t5034 @t5033)) % 6.62/6.86 (define @t5036 () (tptp.hBOOL (tptp.hAPP @t4635 @t109))) % 6.62/6.86 (define @t5037 () (tptp.hBOOL (tptp.hAPP @t4445 @t192))) % 6.62/6.86 (define @t5038 () (tptp.hAPP @t4954 @t192)) % 6.62/6.86 (define @t5039 () (tptp.hAPP @t4954 @t193)) % 6.62/6.86 (define @t5040 () (@var "B_ys" $$unsorted)) % 6.62/6.86 (define @t5041 () (tptp.hAPP @t4954 @t206)) % 6.62/6.86 (define @t5042 () (tptp.c_List_Olists @t8 @t45)) % 6.62/6.86 (define @t5043 () (tptp.c_Orderings_Otop__class_Otop @t4927)) % 6.62/6.86 (define @t5044 () (tptp.c_List_Olists @t8 @t74)) % 6.62/6.86 (define @t5045 () (tptp.c_Orderings_Oord__class_Oless__eq @t4927)) % 6.62/6.86 (define @t5046 () (tptp.hBOOL (tptp.hAPP @t5010 @t5042))) % 6.62/6.86 (define @t5047 () (tptp.hBOOL (tptp.hAPP @t5010 (tptp.c_List_Olists @t8 @t4376)))) % 6.62/6.86 (define @t5048 () (tptp.c_List_Onth @t8)) % 6.62/6.86 (define @t5049 () (tptp.hAPP @t5048 @t4915)) % 6.62/6.86 (define @t5050 () (tptp.hAPP @t5048 @t4918)) % 6.62/6.86 (define @t5051 () (tptp.hAPP @t5050 @t2315)) % 6.62/6.86 (define @t5052 () (tptp.hAPP @t3919 @t5051)) % 6.62/6.86 (define @t5053 () (tptp.hAPP @t1016 @t2315)) % 6.62/6.86 (define @t5054 () (tptp.hBOOL (tptp.hAPP @t5053 @t4919))) % 6.62/6.86 (define @t5055 () (tptp.hAPP @t3919 @t287)) % 6.62/6.86 (define @t5056 () (tptp.c_Finite__Set_Ofinite @t4461)) % 6.62/6.86 (define @t5057 () (tptp.hAPP @t5050 @t1029)) % 6.62/6.86 (define @t5058 () (tptp.hBOOL (tptp.hAPP @t3264 @t4919))) % 6.62/6.86 (define @t5059 () (@list @t8 @t4915 @t4918)) % 6.62/6.86 (define @t5060 () (tptp.c_List_Onth @t372)) % 6.62/6.86 (define @t5061 () (tptp.hAPP @t5060 @t4961)) % 6.62/6.86 (define @t5062 () (tptp.hAPP @t5060 @t4908)) % 6.62/6.86 (define @t5063 () (tptp.hAPP @t5062 @t1211)) % 6.62/6.86 (define @t5064 () (tptp.hAPP @t5061 @t1211)) % 6.62/6.86 (define @t5065 () (@list @t4908 @t371 @t372 @t1211)) % 6.62/6.86 (define @t5066 () (tptp.hAPP @t5061 @t3453)) % 6.62/6.86 (define @t5067 () (not @t3597)) % 6.62/6.86 (define @t5068 () (@list @t4908 @t371 @t372 @t2191)) % 6.62/6.86 (define @t5069 () (tptp.c_List_Otake @t8)) % 6.62/6.86 (define @t5070 () (tptp.hAPP @t5069 @t1029)) % 6.62/6.86 (define @t5071 () (tptp.c_COMBB @t8 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5072 () (tptp.tc_fun tptp.tc_Nat_Onat @t8)) % 6.62/6.86 (define @t5073 () (tptp.tc_fun tptp.tc_Nat_Onat @t218)) % 6.62/6.86 (define @t5074 () (tptp.hAPP (tptp.c_COMBC @t8 @t1443 @t1443) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5073 @t4195 @t8) @t3279) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1443 @t5073 @t8) @t3278) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5072 @t1443) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 (tptp.tc_fun @t5072 @t1443) @t8) @t5071) tptp.c_fequal)) @t5050))))) % 6.62/6.86 (define @t5075 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5076 () (tptp.hAPP (tptp.c_COMBB @t1443 tptp.tc_HOL_Obool @t8) @t5075)) % 6.62/6.86 (define @t5077 () (tptp.c_List_Oset @t8)) % 6.62/6.86 (define @t5078 () (tptp.hAPP @t5077 @t4948)) % 6.62/6.86 (define @t5079 () (tptp.hAPP @t5077 @t4918)) % 6.62/6.86 (define @t5080 () (@list @t4918 @t8)) % 6.62/6.86 (define @t5081 () (tptp.hAPP @t5077 @t4974)) % 6.62/6.86 (define @t5082 () (tptp.hAPP @t350 @t5079)) % 6.62/6.86 (define @t5083 () (@list @t60 @t4918 @t8)) % 6.62/6.86 (define @t5084 () (tptp.c_List_Otake @t372)) % 6.62/6.86 (define @t5085 () (tptp.hAPP @t5084 @t1211)) % 6.62/6.86 (define @t5086 () (tptp.hAPP @t5085 @t4908)) % 6.62/6.86 (define @t5087 () (tptp.hBOOL (tptp.hAPP @t4960 @t1211))) % 6.62/6.86 (define @t5088 () (@list @t1211 @t4908 @t372)) % 6.62/6.86 (define @t5089 () (tptp.hAPP @t5069 @t1196)) % 6.62/6.86 (define @t5090 () (tptp.hAPP @t5089 @t4918)) % 6.62/6.86 (define @t5091 () (tptp.hAPP @t5077 @t5090)) % 6.62/6.86 (define @t5092 () (@list @t4918 @t1196 @t8)) % 6.62/6.86 (define @t5093 () (tptp.hAPP @t5062 @t1261)) % 6.62/6.86 (define @t5094 () (tptp.hBOOL (tptp.hAPP @t1358 @t1211))) % 6.62/6.86 (define @t5095 () (tptp.hBOOL (tptp.hAPP @t87 @t5078))) % 6.62/6.86 (define @t5096 () (tptp.hBOOL (tptp.hAPP @t87 @t5079))) % 6.62/6.86 (define @t5097 () (not @t5096)) % 6.62/6.86 (define @t5098 () (@list @t1742 @t4918 @t60 @t8)) % 6.62/6.86 (define @t5099 () (@list @t4918 @t1196 @t60 @t8)) % 6.62/6.86 (define @t5100 () (tptp.hBOOL (tptp.hAPP @t110 @t5079))) % 6.62/6.86 (define @t5101 () (tptp.hAPP @t5084 @t1853)) % 6.62/6.86 (define @t5102 () (@list @t4908 @t371 @t1211 @t372)) % 6.62/6.86 (define @t5103 () (tptp.hAPP @t1397 @t4913)) % 6.62/6.86 (define @t5104 () (@list @t4908 @t1211 @t372)) % 6.62/6.86 (define @t5105 () (tptp.hAPP (tptp.hAPP @t5084 @t793) @t4908)) % 6.62/6.86 (define @t5106 () (@list @t4908 @t793 @t1211 @t372)) % 6.62/6.86 (define @t5107 () (tptp.hAPP @t122 @t5079)) % 6.62/6.86 (define @t5108 () (tptp.hAPP @t1013 @t5079)) % 6.62/6.86 (define @t5109 () (tptp.hAPP @t180 @t5057)) % 6.62/6.86 (define @t5110 () (tptp.hBOOL @t5109)) % 6.62/6.86 (define @t5111 () (=> @t5058 @t5110)) % 6.62/6.86 (define @t5112 () (forall @t1033 @t5111)) % 6.62/6.86 (define @t5113 () (tptp.hBOOL (tptp.hAPP @t129 @t5079))) % 6.62/6.86 (define @t5114 () (forall @t7 (=> @t5113 @t1080))) % 6.62/6.86 (define @t5115 () (@list @t180 @t4918 @t8)) % 6.62/6.86 (define @t5116 () (tptp.c_List_Olist_Olist__size @t8 @t2 @t4918)) % 6.62/6.86 (define @t5117 () (tptp.hAPP @t1016 @t109)) % 6.62/6.86 (define @t5118 () (@list @t2 @t109 @t4918 @t60 @t8)) % 6.62/6.86 (define @t5119 () (@list @t45 @t4918 @t8)) % 6.62/6.86 (define @t5120 () (tptp.hBOOL (tptp.hAPP @t1978 @t4919))) % 6.62/6.86 (define @t5121 () (tptp.hAPP @t5050 @t1196)) % 6.62/6.86 (define @t5122 () (tptp.hBOOL (tptp.hAPP @t1371 @t4919))) % 6.62/6.86 (define @t5123 () (tptp.c_COMBB @t52 @t1898 @t4461)) % 6.62/6.86 (define @t5124 () (tptp.c_COMBC @t4461 @t52 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t5125 () (tptp.hAPP @t5124 (tptp.hAPP (tptp.hAPP @t5123 @t350) @t5077))) % 6.62/6.86 (define @t5126 () (tptp.hAPP @t5125 @t45)) % 6.62/6.86 (define @t5127 () (tptp.hAPP @t4951 @t1196)) % 6.62/6.86 (define @t5128 () (tptp.hAPP @t4939 (tptp.hAPP @t4936 @t5126))) % 6.62/6.86 (define @t5129 () (@list @t1196 @t45 @t8)) % 6.62/6.86 (define @t5130 () (tptp.hAPP (tptp.c_List_Ozip @t8 @t8) @t4918)) % 6.62/6.86 (define @t5131 () (tptp.c_List_Oset @t3400)) % 6.62/6.86 (define @t5132 () (tptp.hBOOL (tptp.hAPP @t4641 (tptp.hAPP @t5131 (tptp.hAPP @t5130 @t4915))))) % 6.62/6.86 (define @t5133 () (tptp.tc_List_Olist @t39)) % 6.62/6.86 (define @t5134 () (tptp.c_Nat_Osize__class_Osize @t5133)) % 6.62/6.86 (define @t5135 () (tptp.hAPP @t5134 @t4915)) % 6.62/6.86 (define @t5136 () (tptp.hAPP (tptp.hAPP @t1397 @t4919) @t5135)) % 6.62/6.86 (define @t5137 () (tptp.c_List_Onth @t39)) % 6.62/6.86 (define @t5138 () (tptp.hAPP @t5137 @t4915)) % 6.62/6.86 (define @t5139 () (tptp.tc_fun tptp.tc_Nat_Onat @t1065)) % 6.62/6.86 (define @t5140 () (tptp.c_List_Ozip @t8 @t39)) % 6.62/6.86 (define @t5141 () (tptp.hAPP @t5140 @t4918)) % 6.62/6.86 (define @t5142 () (tptp.hAPP @t5141 @t4915)) % 6.62/6.86 (define @t5143 () (tptp.c_List_Oset @t1065)) % 6.62/6.86 (define @t5144 () (tptp.hAPP @t5143 @t5142)) % 6.62/6.86 (define @t5145 () (@list @t4915 @t4918 @t39 @t8)) % 6.62/6.86 (define @t5146 () (tptp.c_List_Otake @t3489)) % 6.62/6.86 (define @t5147 () (tptp.c_List_Ozip @t372 @t3489)) % 6.62/6.86 (define @t5148 () (tptp.hAPP @t5147 @t4908)) % 6.62/6.86 (define @t5149 () (tptp.hAPP @t5148 @t4907)) % 6.62/6.86 (define @t5150 () (tptp.tc_prod @t372 @t3489)) % 6.62/6.86 (define @t5151 () (@list @t4907 @t4908 @t1211 @t3489 @t372)) % 6.62/6.86 (define @t5152 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t3489))) % 6.62/6.86 (define @t5153 () (tptp.hAPP @t5152 @t4907)) % 6.62/6.86 (define @t5154 () (tptp.c_List_Olist_OCons @t3489)) % 6.62/6.86 (define @t5155 () (tptp.hBOOL (tptp.hAPP @t66 @t5079))) % 6.62/6.86 (define @t5156 () (tptp.hAPP @t5130 @t4918)) % 6.62/6.86 (define @t5157 () (tptp.hBOOL (tptp.hAPP @t3903 @t5144))) % 6.62/6.86 (define @t5158 () (@list @t4915 @t4918 @t109 @t60 @t39 @t8)) % 6.62/6.86 (define @t5159 () (tptp.c_List_Oset @t39)) % 6.62/6.86 (define @t5160 () (tptp.hAPP @t5159 @t4915)) % 6.62/6.86 (define @t5161 () (tptp.hBOOL (tptp.hAPP @t498 @t5160))) % 6.62/6.86 (define @t5162 () (tptp.hBOOL (tptp.hAPP @t1358 @t4913))) % 6.62/6.86 (define @t5163 () (tptp.hAPP (tptp.hAPP @t2297 @t1228) @t2270)) % 6.62/6.86 (define @t5164 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 6.62/6.86 (define @t5165 () (tptp.c_List_Omonoid__add__class_Olistsum @t8)) % 6.62/6.86 (define @t5166 () (tptp.hAPP @t5165 @t4918)) % 6.62/6.86 (define @t5167 () (tptp.c_List_Oupto @t1229 @t1228)) % 6.62/6.86 (define @t5168 () (tptp.hAPP @t5164 @t5167)) % 6.62/6.86 (define @t5169 () (@var "V_ns_2" $$unsorted)) % 6.62/6.86 (define @t5170 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5171 () (tptp.hAPP @t5170 @t5169)) % 6.62/6.86 (define @t5172 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1282 @t5171)) (= @t3 @t1975)))) % 6.62/6.86 (define @t5173 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5174 () (@var "V_ns" $$unsorted)) % 6.62/6.86 (define @t5175 () (tptp.hAPP @t5173 @t5174)) % 6.62/6.86 (define @t5176 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5177 () (tptp.hAPP (tptp.hAPP @t5176 @t5174) @t1216)) % 6.62/6.86 (define @t5178 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5179 () (tptp.c_Nat_Osize__class_Osize @t5178)) % 6.62/6.86 (define @t5180 () (tptp.hBOOL (tptp.hAPP @t1363 (tptp.hAPP @t5179 @t5174)))) % 6.62/6.86 (define @t5181 () (tptp.c_List_Omonoid__add__class_Olistsum @t372)) % 6.62/6.86 (define @t5182 () (tptp.hAPP @t5181 @t4908)) % 6.62/6.86 (define @t5183 () (tptp.c_List_Oupto @t3023 @t1228)) % 6.62/6.86 (define @t5184 () (tptp.hAPP @t5084 @t2152)) % 6.62/6.86 (define @t5185 () (tptp.hAPP @t5184 @t4908)) % 6.62/6.86 (define @t5186 () (@list @t4908 @t372 @t1211)) % 6.62/6.86 (define @t5187 () (tptp.c_List_Olist__update @t372 @t4908)) % 6.62/6.86 (define @t5188 () (tptp.hAPP @t5187 @t1261)) % 6.62/6.86 (define @t5189 () (tptp.hAPP @t5188 @t371)) % 6.62/6.86 (define @t5190 () (@list @t371 @t1261 @t4908 @t372)) % 6.62/6.86 (define @t5191 () (tptp.hAPP @t5062 @t1217)) % 6.62/6.86 (define @t5192 () (tptp.hAPP @t5060 @t5189)) % 6.62/6.86 (define @t5193 () (tptp.hAPP @t5192 @t1217)) % 6.62/6.86 (define @t5194 () (= @t1261 @t1217)) % 6.62/6.86 (define @t5195 () (=> (not @t5194) (= @t5193 @t5191))) % 6.62/6.86 (define @t5196 () (@list @t1261 @t4908 @t372)) % 6.62/6.86 (define @t5197 () (tptp.c_List_Obutlast @t372 @t4908)) % 6.62/6.86 (define @t5198 () (tptp.hAPP @t5187 @t1216)) % 6.62/6.86 (define @t5199 () (tptp.hAPP @t5198 @t371)) % 6.62/6.86 (define @t5200 () (tptp.c_List_Obutlast @t372 @t5199)) % 6.62/6.86 (define @t5201 () (tptp.hAPP @t467 @t4913)) % 6.62/6.86 (define @t5202 () (tptp.hAPP @t5201 @t1193)) % 6.62/6.86 (define @t5203 () (= @t1216 @t5202)) % 6.62/6.86 (define @t5204 () (not @t5203)) % 6.62/6.86 (define @t5205 () (tptp.hAPP (tptp.c_List_Olist__update @t5150 @t5149) @t1261)) % 6.62/6.86 (define @t5206 () (tptp.hAPP (tptp.c_List_Olist__update @t3489 @t4907) @t1261)) % 6.62/6.86 (define @t5207 () (@var "V_xy" $$unsorted)) % 6.62/6.86 (define @t5208 () (tptp.hAPP @t5188 @t381)) % 6.62/6.86 (define @t5209 () (tptp.c_List_Olist__update @t372 @t5189)) % 6.62/6.86 (define @t5210 () (@var "V_x_H" $$unsorted)) % 6.62/6.86 (define @t5211 () (@var "V_i_H" $$unsorted)) % 6.62/6.86 (define @t5212 () (tptp.c_List_Olist__update @t8 @t4918)) % 6.62/6.86 (define @t5213 () (tptp.hAPP (tptp.c_COMBB @t4461 @t4461 tptp.tc_Nat_Onat) @t4973)) % 6.62/6.86 (define @t5214 () (tptp.hAPP @t4957 @t381)) % 6.62/6.86 (define @t5215 () (tptp.hAPP @t5214 @t4908)) % 6.62/6.86 (define @t5216 () (tptp.c_List_Olist__update @t372 @t4961)) % 6.62/6.86 (define @t5217 () (tptp.c_List_Obutlast @t8 @t4918)) % 6.62/6.86 (define @t5218 () (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t5077 @t5217)))) % 6.62/6.86 (define @t5219 () (tptp.hAPP @t5212 @t1229)) % 6.62/6.86 (define @t5220 () (tptp.hAPP @t5219 @t60)) % 6.62/6.86 (define @t5221 () (tptp.hAPP @t350 (tptp.hAPP @t5077 @t5220))) % 6.62/6.86 (define @t5222 () (tptp.hAPP @t5050 @t1229)) % 6.62/6.86 (define @t5223 () (tptp.hBOOL (tptp.hAPP @t1234 @t4919))) % 6.62/6.86 (define @t5224 () (tptp.hBOOL (tptp.hAPP @t1370 @t4913))) % 6.62/6.86 (define @t5225 () (@list @t4908 @t372)) % 6.62/6.86 (define @t5226 () (tptp.c_List_Odistinct @t8)) % 6.62/6.86 (define @t5227 () (tptp.hAPP @t237 @t5079)) % 6.62/6.86 (define @t5228 () (tptp.hBOOL (tptp.hAPP @t5226 @t4918))) % 6.62/6.86 (define @t5229 () (tptp.c_List_Oupto @t1261 @t1217)) % 6.62/6.86 (define @t5230 () (tptp.hAPP @t5084 @t1261)) % 6.62/6.86 (define @t5231 () (tptp.hAPP @t5230 @t4908)) % 6.62/6.86 (define @t5232 () (tptp.c_List_Odistinct @t372)) % 6.62/6.86 (define @t5233 () (tptp.hBOOL (tptp.hAPP @t5232 @t4908))) % 6.62/6.86 (define @t5234 () (tptp.c_List_Odistinct @t5150)) % 6.62/6.86 (define @t5235 () (@list @t4907 @t3489 @t4908 @t372)) % 6.62/6.86 (define @t5236 () (and @t5097 @t5228)) % 6.62/6.86 (define @t5237 () (= @t5108 @t4919)) % 6.62/6.86 (define @t5238 () (tptp.hAPP @t5050 @t2131)) % 6.62/6.86 (define @t5239 () (tptp.hBOOL (tptp.hAPP @t2132 @t4919))) % 6.62/6.86 (define @t5240 () (tptp.hAPP @t5050 @t1228)) % 6.62/6.86 (define @t5241 () (tptp.hAPP @t1016 @t1228)) % 6.62/6.86 (define @t5242 () (@list @t1228 @t1229 @t4918 @t8)) % 6.62/6.86 (define @t5243 () (tptp.c_Nitpick_Ocard_H @t8 @t45)) % 6.62/6.86 (define @t5244 () (tptp.c_Hilbert__Choice_OEps @t4461 (tptp.hAPP (tptp.hAPP @t4939 (tptp.hAPP @t4936 (tptp.hAPP (tptp.hAPP @t5124 (tptp.hAPP (tptp.hAPP @t5123 tptp.c_fequal) @t5077)) @t45))) @t5226))) % 6.62/6.86 (define @t5245 () (tptp.hAPP @t5084 @t1216)) % 6.62/6.86 (define @t5246 () (tptp.hAPP @t5060 @t4907)) % 6.62/6.86 (define @t5247 () (tptp.hAPP @t5062 @t1029)) % 6.62/6.86 (define @t5248 () (tptp.hAPP @t5227 @t164)) % 6.62/6.86 (define @t5249 () (tptp.c_List_Oremove1 @t8 @t60 @t4918)) % 6.62/6.86 (define @t5250 () (tptp.hAPP @t5077 @t5249)) % 6.62/6.86 (define @t5251 () (tptp.hAPP (tptp.hAPP @t5084 @t3453) @t4961)) % 6.62/6.86 (define @t5252 () (tptp.c_List_Olist_ONil @t372)) % 6.62/6.86 (define @t5253 () (tptp.c_List_Olist_ONil @t8)) % 6.62/6.86 (define @t5254 () (= @t4918 @t5253)) % 6.62/6.86 (define @t5255 () (tptp.hAPP @t4920 @t5253)) % 6.62/6.86 (define @t5256 () (tptp.hAPP @t4922 (tptp.hAPP @t5255 @t4918))) % 6.62/6.86 (define @t5257 () (tptp.hAPP @t4922 (tptp.hAPP @t4921 @t5253))) % 6.62/6.86 (define @t5258 () (= @t4908 @t5252)) % 6.62/6.86 (define @t5259 () (not @t5258)) % 6.62/6.86 (define @t5260 () (@list @t372 @t4908)) % 6.62/6.86 (define @t5261 () (tptp.c_List_Oremove1 @t372 @t371 @t4908)) % 6.62/6.86 (define @t5262 () (@list @t371 @t4908 @t372)) % 6.62/6.86 (define @t5263 () (tptp.c_List_Obutlast @t372 @t4961)) % 6.62/6.86 (define @t5264 () (@var "V_list_H" $$unsorted)) % 6.62/6.86 (define @t5265 () (tptp.hAPP (tptp.hAPP @t4957 @t2653) @t5264)) % 6.62/6.86 (define @t5266 () (@list @t5264 @t2653 @t372)) % 6.62/6.86 (define @t5267 () (tptp.c_List_Oremove1 @t372 @t371 @t5215)) % 6.62/6.86 (define @t5268 () (@list @t4908 @t372 @t381 @t371)) % 6.62/6.86 (define @t5269 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 6.62/6.86 (define @t5270 () (= @t5229 @t5269)) % 6.62/6.86 (define @t5271 () (@var "V_zs" $$unsorted)) % 6.62/6.86 (define @t5272 () (@list @t5271 @t381 @t371 @t372)) % 6.62/6.86 (define @t5273 () (tptp.c_List_Olist_ONil @t5150)) % 6.62/6.86 (define @t5274 () (tptp.c_List_Olist_ONil @t3489)) % 6.62/6.86 (define @t5275 () (@list @t2203 @t8)) % 6.62/6.86 (define @t5276 () (tptp.hAPP (tptp.c_List_Olist__update @t372 @t5252) @t1261)) % 6.62/6.86 (define @t5277 () (@list @t109 @t4918 @t60 @t8)) % 6.62/6.86 (define @t5278 () (not @t5254)) % 6.62/6.86 (define @t5279 () (tptp.hAPP @t4958 @t5252)) % 6.62/6.86 (define @t5280 () (tptp.hAPP @t5255 @t5253)) % 6.62/6.86 (define @t5281 () (tptp.c_COMBC tptp.tc_Nat_Onat @t4461 @t4461)) % 6.62/6.86 (define @t5282 () (@list @t4918 @t60 @t1196 @t8)) % 6.62/6.86 (define @t5283 () (tptp.hAPP @t2414 @t2270)) % 6.62/6.86 (define @t5284 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 6.62/6.86 (define @t5285 () (tptp.hAPP @t4973 @t5253)) % 6.62/6.86 (define @t5286 () (tptp.c_List_Osublist @t8 @t5285 @t45)) % 6.62/6.86 (define @t5287 () (tptp.hAPP @t3287 @t45)) % 6.62/6.86 (define @t5288 () (tptp.hBOOL @t5287)) % 6.62/6.86 (define @t5289 () (tptp.hAPP (tptp.hAPP @t5022 @t5253) @t5021)) % 6.62/6.86 (define @t5290 () (tptp.hAPP @t5085 @t4961)) % 6.62/6.86 (define @t5291 () (tptp.hAPP @t3466 @t793)) % 6.62/6.86 (define @t5292 () (tptp.c_List_Oupto @t5291 @t3812)) % 6.62/6.86 (define @t5293 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t5291) @t3812))) % 6.62/6.86 (define @t5294 () (tptp.c_COMBC @t8 @t4461 @t4461)) % 6.62/6.86 (define @t5295 () (tptp.hAPP @t5294 @t4954)) % 6.62/6.86 (define @t5296 () (tptp.hAPP @t5295 @t5253)) % 6.62/6.86 (define @t5297 () (tptp.hAPP @t4905 @t5249)) % 6.62/6.86 (define @t5298 () (tptp.hBOOL (tptp.hAPP @t2631 @t1228))) % 6.62/6.86 (define @t5299 () (tptp.c_Wellfounded_Oaccp @t3873 tptp.c_List_Oupto__rel)) % 6.62/6.86 (define @t5300 () (tptp.c_Random_Oselect @t8 @t4918)) % 6.62/6.86 (define @t5301 () (tptp.c_Product__Type_Ofst @t8 @t4810)) % 6.62/6.86 (define @t5302 () (tptp.tc_List_Olist @t1065)) % 6.62/6.86 (define @t5303 () (tptp.c_List_Olist_OCons @t1065)) % 6.62/6.86 (define @t5304 () (tptp.tc_fun @t5302 @t5302)) % 6.62/6.86 (define @t5305 () (tptp.tc_fun @t4461 @t5302)) % 6.62/6.86 (define @t5306 () (tptp.c_List_Olist_ONil @t1065)) % 6.62/6.86 (define @t5307 () (tptp.c_List_Olist_OCons @t39)) % 6.62/6.86 (define @t5308 () (tptp.hAPP @t5307 @t109)) % 6.62/6.86 (define @t5309 () (tptp.hAPP @t5308 @t4915)) % 6.62/6.86 (define @t5310 () (tptp.hAPP @t3079 @t13)) % 6.62/6.86 (define @t5311 () (tptp.c_List_Olist_Olist__case @t8 @t39 @t169 @t3079)) % 6.62/6.86 (define @t5312 () (tptp.c_List_Olist_ONil @t39)) % 6.62/6.86 (define @t5313 () (@list @t3079 @t169 @t39 @t8)) % 6.62/6.86 (define @t5314 () (@var "V_As_2" $$unsorted)) % 6.62/6.86 (define @t5315 () (tptp.tc_fun @t5133 @t5302)) % 6.62/6.86 (define @t5316 () (@list @t4915 @t4918 @t60 @t39 @t8)) % 6.62/6.86 (define @t5317 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t45)) % 6.62/6.86 (define @t5318 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t239)) % 6.62/6.86 (define @t5319 () (tptp.hAPP (tptp.hAPP @t2303 @t1029) @t2270)) % 6.62/6.86 (define @t5320 () (tptp.c_Lazy__Sequence_Oanamorph @t39 @t8 @t2)) % 6.62/6.86 (define @t5321 () (tptp.c_Product__Type_OPair @t4461 @t39)) % 6.62/6.86 (define @t5322 () (tptp.tc_prod @t4461 @t39)) % 6.62/6.86 (define @t5323 () (tptp.tc_fun @t39 @t5322)) % 6.62/6.86 (define @t5324 () (tptp.tc_fun @t4461 @t5323)) % 6.62/6.86 (define @t5325 () (tptp.tc_fun @t5322 @t5322)) % 6.62/6.86 (define @t5326 () (tptp.hAPP (tptp.hAPP @t5321 @t5253) @t60)) % 6.62/6.86 (define @t5327 () (tptp.hAPP (tptp.hAPP @t5320 @t1199) @t60)) % 6.62/6.86 (define @t5328 () (tptp.c_List_Oappend @t8)) % 6.62/6.86 (define @t5329 () (tptp.hAPP @t4973 @t1455)) % 6.62/6.86 (define @t5330 () (@var "B_ys_H" $$unsorted)) % 6.62/6.86 (define @t5331 () (tptp.hAPP (tptp.hAPP @t5328 @t5330) @t5030)) % 6.62/6.86 (define @t5332 () (tptp.hAPP @t4973 @t5330)) % 6.62/6.86 (define @t5333 () (@list @t5330)) % 6.62/6.86 (define @t5334 () (= @t4915 @t5253)) % 6.62/6.86 (define @t5335 () (tptp.hAPP @t5328 @t4915)) % 6.62/6.86 (define @t5336 () (tptp.hAPP @t5335 @t5030)) % 6.62/6.86 (define @t5337 () (tptp.hAPP @t4971 @t5253)) % 6.62/6.86 (define @t5338 () (tptp.hAPP @t5335 @t5337)) % 6.62/6.86 (define @t5339 () (tptp.hAPP @t5328 @t4918)) % 6.62/6.86 (define @t5340 () (tptp.hAPP @t5339 @t5285)) % 6.62/6.86 (define @t5341 () (tptp.c_List_Oappend @t372)) % 6.62/6.86 (define @t5342 () (tptp.hAPP @t5341 @t4908)) % 6.62/6.86 (define @t5343 () (tptp.hAPP @t5342 @t4907)) % 6.62/6.86 (define @t5344 () (@list @t4907 @t4908 @t371 @t372)) % 6.62/6.86 (define @t5345 () (tptp.hAPP (tptp.hAPP @t5341 @t4907) @t5271)) % 6.62/6.86 (define @t5346 () (@var "V_xs1" $$unsorted)) % 6.62/6.86 (define @t5347 () (tptp.hAPP @t5341 @t5346)) % 6.62/6.86 (define @t5348 () (tptp.hAPP @t4978 @t4915)) % 6.62/6.86 (define @t5349 () (tptp.hAPP @t5339 @t4915)) % 6.62/6.86 (define @t5350 () (@var "V_us" $$unsorted)) % 6.62/6.86 (define @t5351 () (= @t4915 @t5030)) % 6.62/6.86 (define @t5352 () (tptp.hAPP @t5328 @t5030)) % 6.62/6.86 (define @t5353 () (@list @t5030 @t4915 @t4918 @t8)) % 6.62/6.86 (define @t5354 () (@var "B_us" $$unsorted)) % 6.62/6.86 (define @t5355 () (tptp.hAPP @t5328 @t5354)) % 6.62/6.86 (define @t5356 () (tptp.hAPP @t1223 @t4913)) % 6.62/6.86 (define @t5357 () (tptp.hAPP @t5356 @t4912)) % 6.62/6.86 (define @t5358 () (@var "V_vs" $$unsorted)) % 6.62/6.86 (define @t5359 () (tptp.hAPP @t5147 @t4907)) % 6.62/6.86 (define @t5360 () (tptp.c_List_Oappend @t5150)) % 6.62/6.86 (define @t5361 () (tptp.c_List_Oappend @t3489)) % 6.62/6.86 (define @t5362 () (tptp.hAPP @t5147 @t5343)) % 6.62/6.86 (define @t5363 () (tptp.hAPP @t5077 @t4915)) % 6.62/6.86 (define @t5364 () (tptp.hAPP (tptp.hAPP @t1037 @t5079) @t5363)) % 6.62/6.86 (define @t5365 () (@list @t4915 @t4918 @t8)) % 6.62/6.86 (define @t5366 () (tptp.hAPP (tptp.hAPP @t5341 @t5252) @t4907)) % 6.62/6.86 (define @t5367 () (@list @t4907 @t372)) % 6.62/6.86 (define @t5368 () (and @t5254 @t5334)) % 6.62/6.86 (define @t5369 () (tptp.c_List_Obutlast @t372 @t5343)) % 6.62/6.86 (define @t5370 () (= @t4907 @t5252)) % 6.62/6.86 (define @t5371 () (not @t5370)) % 6.62/6.86 (define @t5372 () (@list @t4908 @t372 @t4907)) % 6.62/6.86 (define @t5373 () (tptp.hAPP @t5342 @t4959)) % 6.62/6.86 (define @t5374 () (tptp.hAPP @t5060 @t5343)) % 6.62/6.86 (define @t5375 () (tptp.hAPP @t1395 @t4913)) % 6.62/6.86 (define @t5376 () (tptp.hAPP @t5341 @t5086)) % 6.62/6.86 (define @t5377 () (@list @t4907 @t4908 @t1211 @t372)) % 6.62/6.86 (define @t5378 () (tptp.c_List_Olist__update @t372 @t5343)) % 6.62/6.86 (define @t5379 () (tptp.hAPP @t5214 @t4907)) % 6.62/6.86 (define @t5380 () (tptp.c_List_Oremove1 @t8 @t60 @t5349)) % 6.62/6.86 (define @t5381 () (@list @t4915 @t4918 @t60 @t8)) % 6.62/6.86 (define @t5382 () (tptp.c_List_Obutlast @t8 @t4915)) % 6.62/6.86 (define @t5383 () (tptp.hAPP @t5342 @t5279)) % 6.62/6.86 (define @t5384 () (@var "V_vs_2" $$unsorted)) % 6.62/6.86 (define @t5385 () (@var "V_us_2" $$unsorted)) % 6.62/6.86 (define @t5386 () (tptp.hAPP @t5339 @t5385)) % 6.62/6.86 (define @t5387 () (tptp.hAPP @t5328 @t60)) % 6.62/6.86 (define @t5388 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP @t4920 (tptp.hAPP @t5387 @t1426)) (tptp.hAPP @t5387 @t640))) @t4994))) % 6.62/6.86 (define @t5389 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP @t4920 @t1426) @t640)) @t4994))) % 6.62/6.86 (define @t5390 () (tptp.hBOOL (tptp.hAPP @t5226 @t4915))) % 6.62/6.86 (define @t5391 () (tptp.hAPP @t5374 @t1211)) % 6.62/6.86 (define @t5392 () (not @t5224)) % 6.62/6.86 (define @t5393 () (tptp.hAPP (tptp.hAPP @t5378 @t1211) @t371)) % 6.62/6.86 (define @t5394 () (@var "V_l_H_2" $$unsorted)) % 6.62/6.86 (define @t5395 () (tptp.hAPP @t5328 @t5385)) % 6.62/6.86 (define @t5396 () (tptp.hAPP @t5328 @t1426)) % 6.62/6.86 (define @t5397 () (tptp.hAPP @t4957 @t5093)) % 6.62/6.86 (define @t5398 () (tptp.hAPP @t5341 @t5231)) % 6.62/6.86 (define @t5399 () (@list @t4908 @t372 @t1261)) % 6.62/6.86 (define @t5400 () (@var "B_vs" $$unsorted)) % 6.62/6.86 (define @t5401 () (@list @t5354 @t5400)) % 6.62/6.86 (define @t5402 () (tptp.hAPP (tptp.c_COMBC @t4461 @t4461 @t4461) @t5328)) % 6.62/6.86 (define @t5403 () (tptp.c_COMBB @t4461 @t4980 @t8)) % 6.62/6.86 (define @t5404 () (tptp.c_List_Orotate1 @t8)) % 6.62/6.86 (define @t5405 () (tptp.hAPP @t5404 @t4918)) % 6.62/6.86 (define @t5406 () (tptp.c_List_Odrop @t372)) % 6.62/6.86 (define @t5407 () (tptp.hAPP (tptp.hAPP @t5406 @t1872) @t4908)) % 6.62/6.86 (define @t5408 () (tptp.hAPP @t5406 @t1211)) % 6.62/6.86 (define @t5409 () (tptp.hAPP @t5408 @t4908)) % 6.62/6.86 (define @t5410 () (tptp.hAPP @t5406 @t1853)) % 6.62/6.86 (define @t5411 () (tptp.hAPP @t5406 @t1261)) % 6.62/6.86 (define @t5412 () (tptp.hAPP @t5411 @t4908)) % 6.62/6.86 (define @t5413 () (tptp.hAPP @t5408 @t5197)) % 6.62/6.86 (define @t5414 () (tptp.c_List_Obutlast @t372 @t5409)) % 6.62/6.86 (define @t5415 () (tptp.hAPP @t5406 @t793)) % 6.62/6.86 (define @t5416 () (tptp.hAPP @t5415 @t4908)) % 6.62/6.86 (define @t5417 () (tptp.c_List_Odrop @t3489)) % 6.62/6.86 (define @t5418 () (tptp.c_List_Orotate1 @t372)) % 6.62/6.86 (define @t5419 () (tptp.hAPP @t5418 @t4908)) % 6.62/6.86 (define @t5420 () (tptp.c_List_Odrop @t8)) % 6.62/6.86 (define @t5421 () (tptp.hAPP @t5420 @t1196)) % 6.62/6.86 (define @t5422 () (tptp.hAPP @t5421 @t4918)) % 6.62/6.86 (define @t5423 () (tptp.hAPP @t5077 @t5422)) % 6.62/6.86 (define @t5424 () (tptp.hAPP @t5408 @t4961)) % 6.62/6.86 (define @t5425 () (tptp.hAPP @t1224 @t1261)) % 6.62/6.86 (define @t5426 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 6.62/6.86 (define @t5427 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 6.62/6.86 (define @t5428 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 6.62/6.86 (define @t5429 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 6.62/6.86 (define @t5430 () (tptp.hAPP @t4905 @t5429)) % 6.62/6.86 (define @t5431 () (tptp.hAPP @t4905 @t5428)) % 6.62/6.86 (define @t5432 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t5431) @t5430))) % 6.62/6.86 (define @t5433 () (tptp.hAPP @t5397 @t5407)) % 6.62/6.86 (define @t5434 () (tptp.hAPP @t5154 @t371)) % 6.62/6.86 (define @t5435 () (tptp.hAPP (tptp.hAPP @t5406 @t3453) @t4961)) % 6.62/6.86 (define @t5436 () (tptp.hBOOL (tptp.hAPP @t4960 @t1193))) % 6.62/6.86 (define @t5437 () (@list @t5271 @t4907 @t4908 @t3489 @t372)) % 6.62/6.86 (define @t5438 () (tptp.hAPP @t5101 @t4908)) % 6.62/6.86 (define @t5439 () (tptp.c_List_Ohd @t372)) % 6.62/6.86 (define @t5440 () (tptp.hAPP @t5439 @t5409)) % 6.62/6.86 (define @t5441 () (@list @t1211 @t372 @t4908)) % 6.62/6.86 (define @t5442 () (tptp.hAPP @t5439 @t4908)) % 6.62/6.86 (define @t5443 () (tptp.hAPP @t5439 @t5343)) % 6.62/6.86 (define @t5444 () (=> @t5259 (= @t5443 @t5442))) % 6.62/6.86 (define @t5445 () (@list @t4907 @t372 @t4908)) % 6.62/6.86 (define @t5446 () (tptp.c_List_Ohd @t8)) % 6.62/6.86 (define @t5447 () (tptp.hAPP @t5446 @t4918)) % 6.62/6.86 (define @t5448 () (@list @t8 @t4918)) % 6.62/6.86 (define @t5449 () (tptp.hAPP @t4957 @t5442)) % 6.62/6.86 (define @t5450 () (tptp.c_List_Otl @t372)) % 6.62/6.86 (define @t5451 () (tptp.hAPP @t5450 @t4908)) % 6.62/6.86 (define @t5452 () (tptp.hAPP @t5341 @t5451)) % 6.62/6.86 (define @t5453 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1211 @t4913)) % 6.62/6.86 (define @t5454 () (tptp.c_List_Orotate @t372 @t1211)) % 6.62/6.86 (define @t5455 () (tptp.hAPP @t5454 @t4908)) % 6.62/6.86 (define @t5456 () (tptp.hAPP @t5450 @t5409)) % 6.62/6.86 (define @t5457 () (tptp.hAPP @t5408 @t5451)) % 6.62/6.86 (define @t5458 () (tptp.c_List_Orotate @t8 @t1196)) % 6.62/6.86 (define @t5459 () (tptp.hAPP @t5458 @t4918)) % 6.62/6.86 (define @t5460 () (tptp.c_Fun_Oid @t4461)) % 6.62/6.86 (define @t5461 () (tptp.hAPP @t5418 @t5455)) % 6.62/6.86 (define @t5462 () (tptp.hAPP @t5085 @t5451)) % 6.62/6.86 (define @t5463 () (tptp.c_List_Otl @t8)) % 6.62/6.86 (define @t5464 () (= @t5455 @t4908)) % 6.62/6.86 (define @t5465 () (tptp.c_List_Ofoldl @t8 @t39 @t2 @t13)) % 6.62/6.86 (define @t5466 () (@list @t5030 @t109 @t60 @t8)) % 6.62/6.86 (define @t5467 () (tptp.c_List_Ofoldl @t8 @t8 @t587 @t1985)) % 6.62/6.86 (define @t5468 () (tptp.class_Groups_Omonoid__add @t8)) % 6.62/6.86 (define @t5469 () (tptp.hAPP @t5307 @t60)) % 6.62/6.86 (define @t5470 () (tptp.hAPP @t5469 @t4918)) % 6.62/6.86 (define @t5471 () (tptp.hAPP @t5465 @t4918)) % 6.62/6.86 (define @t5472 () (tptp.c_List_Oappend @t39)) % 6.62/6.86 (define @t5473 () (tptp.hAPP (tptp.hAPP @t5472 @t4918) @t4915)) % 6.62/6.86 (define @t5474 () (tptp.c_List_Ofoldl @t39 @t8 (tptp.hAPP @t1383 @t2) @t109)) % 6.62/6.86 (define @t5475 () (tptp.hAPP (tptp.hAPP @t532 @t109) @t5079)) % 6.62/6.86 (define @t5476 () (@list @t4918 @t109 @t2 @t39 @t8)) % 6.62/6.86 (define @t5477 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t798 @t60) @t4918)) % 6.62/6.86 (define @t5478 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t802 @t60) @t4918)) % 6.62/6.86 (define @t5479 () (tptp.hAPP @t5159 @t4918)) % 6.62/6.86 (define @t5480 () (@list @t2 @t4918 @t39 @t8)) % 6.62/6.86 (define @t5481 () (tptp.c_List_Olinorder__class_Oinsort__key @t8 @t8 @t251)) % 6.62/6.86 (define @t5482 () (tptp.hAPP @t5481 @t60)) % 6.62/6.86 (define @t5483 () (tptp.hAPP @t4954 @t287)) % 6.62/6.86 (define @t5484 () (tptp.c_List_Olinorder__class_Oinsort__key @t8 @t39 @t2)) % 6.62/6.86 (define @t5485 () (tptp.hAPP @t5484 @t60)) % 6.62/6.86 (define @t5486 () (tptp.class_Orderings_Olinorder @t39)) % 6.62/6.86 (define @t5487 () (tptp.c_List_Olinorder__class_Oinsort__key @t39 @t8 @t2)) % 6.62/6.86 (define @t5488 () (tptp.hAPP @t5487 @t60)) % 6.62/6.86 (define @t5489 () (tptp.hAPP @t5488 @t5309)) % 6.62/6.86 (define @t5490 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t64) @t489))) % 6.62/6.86 (define @t5491 () (tptp.hAPP @t5485 @t4918)) % 6.62/6.86 (define @t5492 () (@list @t4918 @t60 @t2 @t8 @t39)) % 6.62/6.86 (define @t5493 () (tptp.hAPP tptp.c_Nat_OSuc @t4919)) % 6.62/6.86 (define @t5494 () (tptp.hAPP @t5482 @t4918)) % 6.62/6.86 (define @t5495 () (tptp.hAPP @t5481 @t109)) % 6.62/6.86 (define @t5496 () (tptp.hAPP @t5487 @t109)) % 6.62/6.86 (define @t5497 () (tptp.hAPP @t5488 @t4918)) % 6.62/6.86 (define @t5498 () (tptp.hAPP @t5484 @t13)) % 6.62/6.86 (define @t5499 () (tptp.hAPP @t5498 @t4918)) % 6.62/6.86 (define @t5500 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t39 @t8 @t2 @t60 @t4918)) % 6.62/6.86 (define @t5501 () (tptp.hAPP @t55 @t5479)) % 6.62/6.86 (define @t5502 () (tptp.hBOOL (tptp.hAPP @t1156 @t5501))) % 6.62/6.86 (define @t5503 () (@list @t4918 @t39 @t60 @t2 @t8)) % 6.62/6.86 (define @t5504 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t8 @t8 @t251 @t60 @t4918)) % 6.62/6.86 (define @t5505 () (tptp.c_List_Olast @t372 @t4908)) % 6.62/6.86 (define @t5506 () (tptp.c_List_Olast @t372 @t5199)) % 6.62/6.86 (define @t5507 () (tptp.c_List_Olast @t372 @t4961)) % 6.62/6.86 (define @t5508 () (=> @t5259 (= @t5507 @t5505))) % 6.62/6.86 (define @t5509 () (=> @t5258 (= @t5507 @t371))) % 6.62/6.86 (define @t5510 () (tptp.c_List_Olast @t372 @t5343)) % 6.62/6.86 (define @t5511 () (=> @t5371 (= @t5510 (tptp.c_List_Olast @t372 @t4907)))) % 6.62/6.86 (define @t5512 () (=> @t5370 (= @t5510 @t5505))) % 6.62/6.86 (define @t5513 () (@var "V_as_2" $$unsorted)) % 6.62/6.86 (define @t5514 () (@var "B_l" $$unsorted)) % 6.62/6.86 (define @t5515 () (= @t13 @t5253)) % 6.62/6.86 (define @t5516 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 @t4992) (tptp.hAPP @t4991 @t3857)) @t4918)) % 6.62/6.86 (define @t5517 () (tptp.c_List_Omap @t8 @t39)) % 6.62/6.86 (define @t5518 () (tptp.hAPP @t5517 @t2)) % 6.62/6.86 (define @t5519 () (tptp.c_Fun_Oinj__on @t4461 @t5133 @t5518 @t5043)) % 6.62/6.86 (define @t5520 () (tptp.c_List_Olast @t8 @t4918)) % 6.62/6.86 (define @t5521 () (tptp.hAPP @t5518 @t4918)) % 6.62/6.86 (define @t5522 () (@list @t2 @t39 @t8 @t4918)) % 6.62/6.86 (define @t5523 () (tptp.c_List_Omap @t125 @t39)) % 6.62/6.86 (define @t5524 () (tptp.hAPP @t5523 @t2)) % 6.62/6.86 (define @t5525 () (tptp.hAPP @t5524 @t4918)) % 6.62/6.86 (define @t5526 () (tptp.c_List_Omap @t39 @t8)) % 6.62/6.86 (define @t5527 () (tptp.hAPP @t5526 @t2)) % 6.62/6.86 (define @t5528 () (tptp.hAPP @t5527 @t4918)) % 6.62/6.86 (define @t5529 () (@list @t4918 @t2 @t39 @t1196 @t8)) % 6.62/6.86 (define @t5530 () (@list @t4918 @t2 @t8 @t39)) % 6.62/6.86 (define @t5531 () (tptp.tc_fun @t125 @t1065)) % 6.62/6.86 (define @t5532 () (tptp.tc_fun @t4045 @t3948)) % 6.62/6.86 (define @t5533 () (tptp.tc_fun @t4045 @t125)) % 6.62/6.86 (define @t5534 () (tptp.c_List_Ozip @t39 @t125)) % 6.62/6.86 (define @t5535 () (tptp.hAPP (tptp.c_List_Omap @t3948 @t8) @t2)) % 6.62/6.86 (define @t5536 () (tptp.hAPP (tptp.c_List_Omap @t4045 @t39) @t1)) % 6.62/6.86 (define @t5537 () (tptp.c_List_Omap @t125 @t8)) % 6.62/6.86 (define @t5538 () (tptp.hAPP @t5537 @t2)) % 6.62/6.86 (define @t5539 () (tptp.hAPP @t5140 (tptp.hAPP @t5538 @t4918))) % 6.62/6.86 (define @t5540 () (tptp.tc_fun @t4045 @t1065)) % 6.62/6.86 (define @t5541 () (= @t4918 @t5312)) % 6.62/6.86 (define @t5542 () (@list @t4918 @t2 @t39 @t8)) % 6.62/6.86 (define @t5543 () (tptp.hAPP (tptp.hAPP @t5526 @t1) @t4918)) % 6.62/6.86 (define @t5544 () (tptp.tc_List_Olist @t125)) % 6.62/6.86 (define @t5545 () (tptp.hAPP @t5134 @t4918)) % 6.62/6.86 (define @t5546 () (tptp.hAPP @t5165 @t5543)) % 6.62/6.86 (define @t5547 () (tptp.hAPP @t5165 @t5528)) % 6.62/6.86 (define @t5548 () (@list @t4918 @t1 @t2 @t39 @t8)) % 6.62/6.86 (define @t5549 () (tptp.hAPP @t5518 @t4915)) % 6.62/6.86 (define @t5550 () (= (= @t5521 @t5549) @t5020)) % 6.62/6.86 (define @t5551 () (@list @t4915 @t4918 @t2 @t39 @t8)) % 6.62/6.86 (define @t5552 () (tptp.hAPP @t5527 @t4915)) % 6.62/6.86 (define @t5553 () (= @t5528 @t5552)) % 6.62/6.86 (define @t5554 () (@list @t4915 @t4918 @t2 @t8 @t39)) % 6.62/6.86 (define @t5555 () (tptp.c_List_Omap @t8 @t8)) % 6.62/6.86 (define @t5556 () (tptp.hAPP @t5555 @t251)) % 6.62/6.86 (define @t5557 () (tptp.c_List_Otake @t39)) % 6.62/6.86 (define @t5558 () (tptp.hAPP @t5557 @t1196)) % 6.62/6.86 (define @t5559 () (tptp.hAPP (tptp.c_List_Odrop @t39) @t1196)) % 6.62/6.86 (define @t5560 () (tptp.hAPP @t5537 @t4671)) % 6.62/6.86 (define @t5561 () (tptp.hAPP @t5523 @t1)) % 6.62/6.86 (define @t5562 () (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t5364)) % 6.62/6.86 (define @t5563 () (tptp.c_List_Odistinct @t39)) % 6.62/6.86 (define @t5564 () (tptp.c_Set_Oimage @t4461 @t52 @t5077)) % 6.62/6.86 (define @t5565 () (tptp.c_List_Omonoid__add__class_Olistsum @t39)) % 6.62/6.86 (define @t5566 () (tptp.hAPP @t5565 @t5521)) % 6.62/6.86 (define @t5567 () (tptp.c_Nitpick_Osetsum_H @t8 @t39 @t2 @t45)) % 6.62/6.86 (define @t5568 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1975)) % 6.62/6.86 (define @t5569 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t793)) % 6.62/6.86 (define @t5570 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1211)) % 6.62/6.86 (define @t5571 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.86 (define @t5572 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t307)) % 6.62/6.86 (define @t5573 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1196)) % 6.62/6.86 (define @t5574 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t109)) % 6.62/6.86 (define @t5575 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1281 @t109) @t1444))) % 6.62/6.86 (define @t5576 () (tptp.hAPP (tptp.c_List_Omap @t1065 @t8) @t4200)) % 6.62/6.86 (define @t5577 () (= @t4919 @t5135)) % 6.62/6.86 (define @t5578 () (@list @t4915 @t39 @t4918 @t8)) % 6.62/6.86 (define @t5579 () (tptp.hAPP (tptp.c_List_Omap @t1065 @t39) @t4207)) % 6.62/6.86 (define @t5580 () (tptp.hAPP @t5579 @t5030)) % 6.62/6.86 (define @t5581 () (tptp.hAPP @t5576 @t5030)) % 6.62/6.86 (define @t5582 () (tptp.hAPP @t5077 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4992 @t8) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t8)) @t4918))) % 6.62/6.86 (define @t5583 () (tptp.c_Random_Opick @t8 @t4918)) % 6.62/6.86 (define @t5584 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4992 tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t8)) @t4918))) % 6.62/6.86 (define @t5585 () (@list @t4918 @t8 @t1229)) % 6.62/6.86 (define @t5586 () (@list @t4918 @t2 @t8)) % 6.62/6.86 (define @t5587 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t8) @t2)) % 6.62/6.86 (define @t5588 () (tptp.c_List_Oupto @t1199 @t1455)) % 6.62/6.86 (define @t5589 () (@list @t2757 @t4918 @t8)) % 6.62/6.86 (define @t5590 () (tptp.tc_prod @t8 @t4810)) % 6.62/6.86 (define @t5591 () (tptp.hAPP (tptp.c_COMBB @t8 (tptp.tc_fun @t4810 @t5590) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t8 @t4810))) % 6.62/6.86 (define @t5592 () (tptp.c_Product__Type_Oscomp @t4810 tptp.tc_Code__Numeral_Ocode__numeral @t4810 @t5590)) % 6.62/6.86 (define @t5593 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t793)) % 6.62/6.86 (define @t5594 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1211)) % 6.62/6.86 (define @t5595 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1216)) % 6.62/6.86 (define @t5596 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t60)) % 6.62/6.86 (define @t5597 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t307)) % 6.62/6.86 (define @t5598 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1196)) % 6.62/6.86 (define @t5599 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1261)) % 6.62/6.86 (define @t5600 () (tptp.hAPP (tptp.hAPP @t3858 @t1211) @t793)) % 6.62/6.86 (define @t5601 () (tptp.class_Groups_Omonoid__add @t39)) % 6.62/6.86 (define @t5602 () (@var "V_xq_2" $$unsorted)) % 6.62/6.86 (define @t5603 () (@var "V_no_2" $$unsorted)) % 6.62/6.86 (define @t5604 () (tptp.hAPP @t5077 @t5603)) % 6.62/6.86 (define @t5605 () (@var "V_yes_2" $$unsorted)) % 6.62/6.86 (define @t5606 () (tptp.hAPP @t5077 @t5605)) % 6.62/6.86 (define @t5607 () (tptp.c_List_Opartition @t8 @t180 @t4918)) % 6.62/6.86 (define @t5608 () (= @t5607 (tptp.hAPP (tptp.hAPP @t4920 @t5605) @t5603))) % 6.62/6.86 (define @t5609 () (@list @t5603 @t5605 @t4918 @t180 @t8)) % 6.62/6.86 (define @t5610 () (tptp.c_List_Olistsp @t8 (tptp.hAPP (tptp.hAPP @t1551 @t340) @t2199))) % 6.62/6.86 (define @t5611 () (tptp.hAPP @t4978 @t1455)) % 6.62/6.86 (define @t5612 () (tptp.c_List_Olistsp @t8 @t45)) % 6.62/6.86 (define @t5613 () (tptp.hBOOL (tptp.hAPP @t5612 @t4918))) % 6.62/6.86 (define @t5614 () (tptp.c_List_Olistsp @t8 @t74)) % 6.62/6.86 (define @t5615 () (tptp.c_List_Olistsp @t8 @t1553)) % 6.62/6.86 (define @t5616 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4927)) % 6.62/6.86 (define @t5617 () (tptp.tc_fun @t4475 @t4475)) % 6.62/6.86 (define @t5618 () (tptp.tc_fun @t4461 @t5617)) % 6.62/6.86 (define @t5619 () (@list @t4918 @t60 @t180 @t8)) % 6.62/6.86 (define @t5620 () (tptp.c_Enum_Oproduct @t8 @t39 @t4918 @t4915)) % 6.62/6.86 (define @t5621 () (tptp.hBOOL (tptp.hAPP @t4215 @t3))) % 6.62/6.86 (define @t5622 () (tptp.hAPP @t3902 @t3)) % 6.62/6.86 (define @t5623 () (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t4918 @t4915)) % 6.62/6.86 (define @t5624 () (@list @t4915 @t4918 @t180 @t39 @t8)) % 6.62/6.86 (define @t5625 () (@var "V_bs_2" $$unsorted)) % 6.62/6.86 (define @t5626 () (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t13 @t57)) % 6.62/6.86 (define @t5627 () (@var "V_uu" $$unsorted)) % 6.62/6.86 (define @t5628 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 (tptp.hAPP @t5050 @t2488)) (tptp.hAPP @t5138 @t2488)))) % 6.62/6.86 (define @t5629 () (tptp.hAPP @t1016 @t2488)) % 6.62/6.86 (define @t5630 () (@list @t2488 @t4915 @t4918 @t180 @t39 @t8)) % 6.62/6.86 (define @t5631 () (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t5220 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t39 @t4915) @t1229) @t109))) % 6.62/6.86 (define @t5632 () (tptp.c_Enum_Osublists @t8 @t4918)) % 6.62/6.86 (define @t5633 () (tptp.c_List_Oset @t4461)) % 6.62/6.86 (define @t5634 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t4910))) % 6.62/6.86 (define @t5635 () (tptp.c_List_Olist_ONil @t4910)) % 6.62/6.86 (define @t5636 () (tptp.c_List_Olist_OCons @t4910)) % 6.62/6.86 (define @t5637 () (tptp.hAPP @t5636 @t5252)) % 6.62/6.86 (define @t5638 () (tptp.hAPP @t5637 @t5635)) % 6.62/6.86 (define @t5639 () (tptp.tc_List_Olist @t4461)) % 6.62/6.86 (define @t5640 () (tptp.c_List_Omap @t4461 @t4461)) % 6.62/6.86 (define @t5641 () (tptp.c_Enum_On__lists @t8 @t1196 @t4918)) % 6.62/6.86 (define @t5642 () (tptp.hAPP @t5633 @t5641)) % 6.62/6.86 (define @t5643 () (tptp.c_HOL_OThe @t8 @t180)) % 6.62/6.86 (define @t5644 () (tptp.c_Enum_On__lists @t372 @t1211 @t4908)) % 6.62/6.86 (define @t5645 () (tptp.c_Enum_On__lists @t372 @t1211 @t5252)) % 6.62/6.86 (define @t5646 () (tptp.hAPP @t4905 @t13)) % 6.62/6.86 (define @t5647 () (= @t5646 (tptp.hAPP @t5134 @t57))) % 6.62/6.86 (define @t5648 () (tptp.c_List_Oremdups @t8 @t4918)) % 6.62/6.86 (define @t5649 () (tptp.c_List_OremoveAll @t8 @t60)) % 6.62/6.86 (define @t5650 () (tptp.hAPP @t5649 @t4918)) % 6.62/6.86 (define @t5651 () (= (tptp.hAPP @t5518 @t5650) (tptp.hAPP (tptp.c_List_OremoveAll @t39 @t64) @t5521))) % 6.62/6.86 (define @t5652 () (@list @t4918 @t60 @t2 @t39 @t8)) % 6.62/6.86 (define @t5653 () (tptp.c_List_Oremdups @t372 @t4908)) % 6.62/6.86 (define @t5654 () (tptp.c_List_OremoveAll @t372 @t371)) % 6.62/6.86 (define @t5655 () (tptp.hAPP @t5654 @t4908)) % 6.62/6.86 (define @t5656 () (= @t5648 @t4918)) % 6.62/6.86 (define @t5657 () (tptp.hAPP @t4905 @t5648)) % 6.62/6.86 (define @t5658 () (= @t60 @t5253)) % 6.62/6.86 (define @t5659 () (tptp.c_List_Oremdups @t8 @t60)) % 6.62/6.86 (define @t5660 () (tptp.hAPP @t5654 @t5215)) % 6.62/6.86 (define @t5661 () (tptp.c_List_Oremdups @t8 @t4974)) % 6.62/6.86 (define @t5662 () (@var "V_xss_2" $$unsorted)) % 6.62/6.86 (define @t5663 () (tptp.hAPP @t5633 @t5662)) % 6.62/6.86 (define @t5664 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4461 @t52)) % 6.62/6.86 (define @t5665 () (tptp.c_List_Oconcat @t8 @t5662)) % 6.62/6.86 (define @t5666 () (@list @t5662 @t8)) % 6.62/6.86 (define @t5667 () (tptp.c_List_Olinorder__class_Osort__key @t8 @t39 @t2 @t4918)) % 6.62/6.86 (define @t5668 () (tptp.c_List_Oconcat @t372 @t4908)) % 6.62/6.86 (define @t5669 () (= @t3 @t5253)) % 6.62/6.86 (define @t5670 () (tptp.hAPP @t4978 @t3)) % 6.62/6.86 (define @t5671 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5670 @t5663)) @t5669))) % 6.62/6.86 (define @t5672 () (tptp.hAPP (tptp.c_List_Omap @t5133 @t4461) @t5527)) % 6.62/6.86 (define @t5673 () (tptp.hAPP @t5672 @t4918)) % 6.62/6.86 (define @t5674 () (tptp.hAPP (tptp.c_List_Omap @t4461 tptp.tc_Nat_Onat) @t4905)) % 6.62/6.86 (define @t5675 () (tptp.hAPP @t5633 @t4918)) % 6.62/6.86 (define @t5676 () (tptp.c_List_Oconcat @t8 @t4918)) % 6.62/6.86 (define @t5677 () (tptp.c_List_Olinorder__class_Osort__key @t8 @t8 @t251 @t4918)) % 6.62/6.86 (define @t5678 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 @t3) (tptp.hAPP (tptp.c_List_Oset @t4475) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4461 @t4461) @t4918) @t4915)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4943 @t4934) @t3))))) % 6.62/6.86 (define @t5679 () (tptp.c_Nat_Osize__class_Osize @t5639)) % 6.62/6.86 (define @t5680 () (tptp.hAPP @t5679 @t4918)) % 6.62/6.86 (define @t5681 () (= @t5680 (tptp.hAPP @t5679 @t4915))) % 6.62/6.86 (define @t5682 () (= @t5676 (tptp.c_List_Oconcat @t8 @t4915))) % 6.62/6.86 (define @t5683 () (tptp.c_List_Omap @t39 @t4461)) % 6.62/6.86 (define @t5684 () (tptp.tc_fun @t4461 @t5639)) % 6.62/6.86 (define @t5685 () (tptp.c_List_Omap @t4461 @t5639)) % 6.62/6.86 (define @t5686 () (tptp.c_List_Olist_ONil @t4461)) % 6.62/6.86 (define @t5687 () (tptp.c_List_Olist_OCons @t4461)) % 6.62/6.86 (define @t5688 () (tptp.c_List_Oconcat @t4461 (tptp.hAPP (tptp.hAPP @t5685 (tptp.c_List_Olist_Olist__case @t5639 @t8 @t5686 (tptp.hAPP (tptp.c_COMBK @t5684 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4461 @t5639 @t5639) @t5687) @t5686)))) @t5662))) % 6.62/6.86 (define @t5689 () (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5640 (tptp.c_List_Olist_Olist__case @t4461 @t8 @t5253 (tptp.hAPP (tptp.hAPP @t5403 (tptp.c_COMBK @t4461 @t4461)) @t5296))) @t5662))) % 6.62/6.86 (define @t5690 () (tptp.hAPP (tptp.hAPP @t5687 @t4974) @t5662)) % 6.62/6.86 (define @t5691 () (= (tptp.c_List_Otranspose @t8 @t5690) (tptp.hAPP (tptp.hAPP @t5687 (tptp.hAPP @t4973 @t5689)) (tptp.c_List_Otranspose @t8 (tptp.hAPP (tptp.hAPP @t5687 @t4918) @t5688))))) % 6.62/6.86 (define @t5692 () (@list @t5662 @t4918 @t60 @t8)) % 6.62/6.86 (define @t5693 () (tptp.hAPP (tptp.hAPP @t4953 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4461 @t4461 tptp.tc_HOL_Obool) tptp.c_fequal) @t5253))) % 6.62/6.86 (define @t5694 () (tptp.c_List_Ofilter @t4461 @t5693)) % 6.62/6.86 (define @t5695 () (tptp.hAPP @t5694 @t5662)) % 6.62/6.86 (define @t5696 () (tptp.c_List_Omap @t4461 @t8)) % 6.62/6.86 (define @t5697 () (tptp.c_List_Ofilter @t8 @t2488)) % 6.62/6.86 (define @t5698 () (@list @t4918 @t2488 @t8)) % 6.62/6.86 (define @t5699 () (tptp.c_List_Ofilter @t8 @t180)) % 6.62/6.86 (define @t5700 () (tptp.hAPP @t5699 @t4918)) % 6.62/6.86 (define @t5701 () (tptp.hAPP @t5077 @t5700)) % 6.62/6.86 (define @t5702 () (@list @t4918 @t180 @t8)) % 6.62/6.86 (define @t5703 () (tptp.hAPP @t4905 @t5700)) % 6.62/6.86 (define @t5704 () (tptp.c_List_Ofilter @t8 @t179)) % 6.62/6.86 (define @t5705 () (tptp.hAPP @t5704 @t4918)) % 6.62/6.86 (define @t5706 () (not @t422)) % 6.62/6.86 (define @t5707 () (@list @t4918 @t8 @t60 @t180)) % 6.62/6.86 (define @t5708 () (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_HOL_Obool @t39 @t180) @t2)) % 6.62/6.86 (define @t5709 () (tptp.hAPP (tptp.c_List_Ofilter @t39 @t5708) @t4918)) % 6.62/6.86 (define @t5710 () (tptp.hAPP @t5699 @t5528)) % 6.62/6.86 (define @t5711 () (@list @t4918 @t2 @t39 @t180 @t8)) % 6.62/6.86 (define @t5712 () (tptp.hAPP @t5699 @t4974)) % 6.62/6.86 (define @t5713 () (tptp.hAPP @t5699 @t4915)) % 6.62/6.86 (define @t5714 () (@list @t4915 @t4918 @t180 @t8)) % 6.62/6.86 (define @t5715 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t8 tptp.c_fNot)) % 6.62/6.86 (define @t5716 () (@var "V_xss" $$unsorted)) % 6.62/6.86 (define @t5717 () (tptp.c_List_Ofilter @t4461 (tptp.hAPP (tptp.hAPP @t4930 @t1234) @t4905))) % 6.62/6.86 (define @t5718 () (tptp.hAPP @t5717 @t4918)) % 6.62/6.86 (define @t5719 () (tptp.hAPP @t5696 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4461 tptp.tc_Nat_Onat @t8) @t5048) @t1229))) % 6.62/6.86 (define @t5720 () (tptp.c_List_Otranspose @t8 @t4918)) % 6.62/6.86 (define @t5721 () (tptp.c_List_Onth @t4461)) % 6.62/6.86 (define @t5722 () (tptp.hAPP (tptp.hAPP @t5721 @t5720) @t1229)) % 6.62/6.86 (define @t5723 () (tptp.hAPP @t5679 @t5720)) % 6.62/6.86 (define @t5724 () (tptp.hBOOL (tptp.hAPP @t1234 @t5723))) % 6.62/6.86 (define @t5725 () (@list @t109 @t4918 @t8)) % 6.62/6.86 (define @t5726 () (tptp.c_List_Osublist @t8 @t4918 @t2757)) % 6.62/6.86 (define @t5727 () (tptp.c_Wellfounded_Oaccp @t5639 (tptp.c_List_Otranspose__rel @t8))) % 6.62/6.86 (define @t5728 () (tptp.hAPP (tptp.hAPP @t5687 @t5253) @t5662)) % 6.62/6.86 (define @t5729 () (@var "V_is_2" $$unsorted)) % 6.62/6.86 (define @t5730 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 6.62/6.86 (define @t5731 () (tptp.hAPP (tptp.c_List_Ozip @t8 tptp.tc_Nat_Onat) @t4918)) % 6.62/6.86 (define @t5732 () (tptp.c_Product__Type_Osnd @t8 tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5733 () (tptp.tc_prod @t8 tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5734 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t5733) @t180)) % 6.62/6.86 (define @t5735 () (tptp.hAPP (tptp.c_List_Omap @t5733 @t8) (tptp.c_Product__Type_Ofst @t8 tptp.tc_Nat_Onat))) % 6.62/6.86 (define @t5736 () (tptp.hAPP (tptp.c_List_Ofilter @t4992 (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 @t52 tptp.tc_Code__Numeral_Ocode__numeral) @t3305) @t4811))) @t4918)) % 6.62/6.86 (define @t5737 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2962 @t4461) @t1393) @t4905)) % 6.62/6.86 (define @t5738 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2962 @t5133)) % 6.62/6.86 (define @t5739 () (tptp.hAPP @t5738 @t1393)) % 6.62/6.86 (define @t5740 () (tptp.c_List_Ofoldr @t39 @t8 @t2 @t4918 @t13)) % 6.62/6.86 (define @t5741 () (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t587 @t13) @t4918)) % 6.62/6.86 (define @t5742 () (tptp.c_List_Ofoldr @t8 @t8 @t587 @t4918 @t1985)) % 6.62/6.86 (define @t5743 () (@list @t4918 @t13 @t8)) % 6.62/6.86 (define @t5744 () (tptp.c_List_Oupt @t1975 @t4919)) % 6.62/6.86 (define @t5745 () (tptp.hAPP @t5731 @t5744)) % 6.62/6.86 (define @t5746 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3283 @t5733) @t1281)) % 6.62/6.86 (define @t5747 () (tptp.c_COMBC @t5733 @t1443 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t5748 () (tptp.c_List_Ofilter @t5733 (tptp.hAPP (tptp.hAPP @t5747 (tptp.hAPP @t5746 @t5732)) @t45))) % 6.62/6.86 (define @t5749 () (tptp.c_List_Oupt @t1229 @t1228)) % 6.62/6.86 (define @t5750 () (tptp.hAPP @t5170 @t5749)) % 6.62/6.86 (define @t5751 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5752 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5753 () (tptp.c_List_Oupt @t1261 @t1217)) % 6.62/6.86 (define @t5754 () (tptp.c_List_Oappend tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5755 () (tptp.hAPP @t5754 @t5753)) % 6.62/6.86 (define @t5756 () (tptp.c_List_Oupt @t1261 @t1960)) % 6.62/6.86 (define @t5757 () (=> @t1263 (= @t5756 (tptp.hAPP @t5755 (tptp.hAPP (tptp.hAPP @t5752 @t1217) @t5751))))) % 6.62/6.86 (define @t5758 () (= @t5753 @t5751)) % 6.62/6.86 (define @t5759 () (=> @t1366 (= @t5753 (tptp.hAPP (tptp.hAPP @t5752 @t1261) (tptp.c_List_Oupt @t1872 @t1217))))) % 6.62/6.86 (define @t5760 () (tptp.c_List_Oupt @t307 @t1196)) % 6.62/6.86 (define @t5761 () (tptp.hAPP @t3452 @t1211)) % 6.62/6.86 (define @t5762 () (tptp.hAPP @t3452 @t793)) % 6.62/6.86 (define @t5763 () (tptp.c_List_Oupt @t5762 @t5761)) % 6.62/6.86 (define @t5764 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t5762) @t5761))) % 6.62/6.86 (define @t5765 () (tptp.c_List_Oupt @t1975 @t1196)) % 6.62/6.86 (define @t5766 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t8)) % 6.62/6.86 (define @t5767 () (tptp.hAPP (tptp.hAPP @t5766 @t2) @t5760)) % 6.62/6.86 (define @t5768 () (tptp.hAPP @t5165 @t5767)) % 6.62/6.86 (define @t5769 () (tptp.hAPP @t2237 (tptp.hAPP @t5170 @t5760))) % 6.62/6.86 (define @t5770 () (tptp.hAPP @t5721 @t4918)) % 6.62/6.86 (define @t5771 () (= @t4918 @t5686)) % 6.62/6.86 (define @t5772 () (tptp.c_List_Oremove1 @t8 @t13 @t4918)) % 6.62/6.86 (define @t5773 () (tptp.c_List_Olinorder__class_Osorted @t39 @t5521)) % 6.62/6.86 (define @t5774 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4918)) % 6.62/6.86 (define @t5775 () (tptp.c_List_Olinorder__class_Osorted @t372 @t4908)) % 6.62/6.86 (define @t5776 () (tptp.hAPP @t5214 @t5271)) % 6.62/6.86 (define @t5777 () (tptp.hAPP @t4971 @t5030)) % 6.62/6.86 (define @t5778 () (=> (= @t5079 @t5363) @t5020)) % 6.62/6.86 (define @t5779 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4915)) % 6.62/6.86 (define @t5780 () (tptp.c_List_Olinorder__class_Osorted @t8 @t5528)) % 6.62/6.86 (define @t5781 () (@list @t60 @t4918 @t2 @t39 @t8)) % 6.62/6.86 (define @t5782 () (tptp.c_List_Ofilter @t39 @t180)) % 6.62/6.86 (define @t5783 () (tptp.hAPP @t5782 @t4918)) % 6.62/6.86 (define @t5784 () (tptp.hAPP @t1 @t4918)) % 6.62/6.86 (define @t5785 () (forall @t7 (=> @t5113 @t950))) % 6.62/6.86 (define @t5786 () (tptp.c_List_Olinorder__class_Osorted @t8 @t4974)) % 6.62/6.86 (define @t5787 () (tptp.hBOOL (tptp.hAPP @t949 @t453))) % 6.62/6.86 (define @t5788 () (tptp.hBOOL (tptp.hAPP @t3062 @t2131))) % 6.62/6.86 (define @t5789 () (tptp.hBOOL (tptp.hAPP @t1219 @t4913))) % 6.62/6.86 (define @t5790 () (@list @t1217 @t1261 @t4908 @t372)) % 6.62/6.86 (define @t5791 () (tptp.hAPP @t5770 @t1229)) % 6.62/6.86 (define @t5792 () (tptp.hAPP @t5717 @t5720)) % 6.62/6.86 (define @t5793 () (tptp.hBOOL (tptp.hAPP @t1234 @t5680))) % 6.62/6.86 (define @t5794 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5795 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5794 (tptp.hAPP @t5674 @t4918)))) % 6.62/6.86 (define @t5796 () (@list @t1229 @t4918 @t8)) % 6.62/6.86 (define @t5797 () (tptp.c_List_Orev @t8)) % 6.62/6.86 (define @t5798 () (tptp.hAPP @t5797 @t4918)) % 6.62/6.86 (define @t5799 () (tptp.c_List_Orev @t372)) % 6.62/6.86 (define @t5800 () (= @t4918 @t5285)) % 6.62/6.86 (define @t5801 () (tptp.hAPP @t5799 @t4908)) % 6.62/6.86 (define @t5802 () (tptp.c_List_Orev @t39)) % 6.62/6.86 (define @t5803 () (tptp.hAPP @t5802 @t4918)) % 6.62/6.86 (define @t5804 () (tptp.hAPP @t5797 @t5528)) % 6.62/6.86 (define @t5805 () (tptp.hAPP @t5802 @t4915)) % 6.62/6.86 (define @t5806 () (tptp.hAPP @t5797 @t4915)) % 6.62/6.86 (define @t5807 () (tptp.hAPP @t5201 @t1261)) % 6.62/6.86 (define @t5808 () (@list @t4908 @t1261 @t372)) % 6.62/6.86 (define @t5809 () (tptp.c_List_Ofoldr @t8 @t8 @t802 @t4918 @t109)) % 6.62/6.86 (define @t5810 () (tptp.c_List_OtakeWhile @t8 @t180 @t4918)) % 6.62/6.86 (define @t5811 () (tptp.hAPP @t4905 @t5810)) % 6.62/6.86 (define @t5812 () (tptp.c_List_OtakeWhile @t8 @t180 @t4974)) % 6.62/6.86 (define @t5813 () (tptp.c_List_OtakeWhile @t8 @t180 @t5349)) % 6.62/6.86 (define @t5814 () (@list @t4915 @t180 @t4918 @t60 @t8)) % 6.62/6.86 (define @t5815 () (@list @t4918 @t180 @t8 @t1228)) % 6.62/6.86 (define @t5816 () (tptp.c_COMBB @t8 tptp.tc_HOL_Obool @t39)) % 6.62/6.86 (define @t5817 () (tptp.hAPP (tptp.hAPP @t5816 (tptp.hAPP @t702 @t29)) @t2)) % 6.62/6.86 (define @t5818 () (tptp.hAPP @t3311 @t4684)) % 6.62/6.86 (define @t5819 () (tptp.c_List_OdropWhile @t8 @t180 @t4918)) % 6.62/6.86 (define @t5820 () (tptp.hAPP @t5328 @t5810)) % 6.62/6.86 (define @t5821 () (= @t5819 @t5253)) % 6.62/6.86 (define @t5822 () (tptp.hAPP @t4905 @t5819)) % 6.62/6.86 (define @t5823 () (tptp.c_List_OdropWhile @t8 @t180 @t4974)) % 6.62/6.86 (define @t5824 () (tptp.c_List_OdropWhile @t8 @t180 @t5349)) % 6.62/6.86 (define @t5825 () (tptp.hBOOL (tptp.hAPP @t180 @t5121))) % 6.62/6.86 (define @t5826 () (@list @t180 @t4918 @t8 @t1196)) % 6.62/6.86 (define @t5827 () (tptp.c_List_Oinsert @t8 @t60 @t4918)) % 6.62/6.86 (define @t5828 () (=> @t5097 (= @t5827 @t4974))) % 6.62/6.86 (define @t5829 () (=> @t5096 (= @t5827 @t4918))) % 6.62/6.86 (define @t5830 () (tptp.c_List_Oinsert @t372 @t371 @t4908)) % 6.62/6.86 (define @t5831 () (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5683 @t2) @t4918))) % 6.62/6.86 (define @t5832 () (tptp.c_List_Omaps @t39 @t8 @t2 @t4918)) % 6.62/6.86 (define @t5833 () (@var "B_zs" $$unsorted)) % 6.62/6.86 (define @t5834 () (tptp.hAPP @t5077 @t5833)) % 6.62/6.86 (define @t5835 () (tptp.hAPP @t5077 @t5040)) % 6.62/6.86 (define @t5836 () (@list @t5833)) % 6.62/6.86 (define @t5837 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4978 @t5040) @t5675))) % 6.62/6.86 (define @t5838 () (@list @t5040)) % 6.62/6.86 (define @t5839 () (@var "V_fs_2" $$unsorted)) % 6.62/6.86 (define @t5840 () (tptp.tc_fun @t8 tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5841 () (tptp.hBOOL (tptp.hAPP @t3974 (tptp.c_List_Omeasures @t8 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5840) @t2) @t5839))))) % 6.62/6.86 (define @t5842 () (tptp.c_List_Omeasures @t8 @t5839)) % 6.62/6.86 (define @t5843 () (tptp.hBOOL (tptp.hAPP @t3974 @t5842))) % 6.62/6.86 (define @t5844 () (@list @t5839 @t8 @t109 @t60 @t2)) % 6.62/6.86 (define @t5845 () (@list @t5839 @t8)) % 6.62/6.86 (define @t5846 () (tptp.tc_List_Olist @t5840)) % 6.62/6.86 (define @t5847 () (tptp.c_COMBS @t8 @t39 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t5848 () (tptp.c_Enum_Oenum__class_Oenum__ex @t8)) % 6.62/6.86 (define @t5849 () (tptp.class_Enum_Oenum @t8)) % 6.62/6.86 (define @t5850 () (and (tptp.class_Orderings_Oorder @t39) @t5849)) % 6.62/6.86 (define @t5851 () (and (tptp.class_Enum_Oenum @t39) @t5849)) % 6.62/6.86 (define @t5852 () (tptp.hBOOL (tptp.hAPP @t5848 @t180))) % 6.62/6.86 (define @t5853 () (tptp.hAPP (tptp.hAPP @t5557 @t5136) @t4915)) % 6.62/6.86 (define @t5854 () (tptp.hAPP (tptp.hAPP @t5069 @t5136) @t4918)) % 6.62/6.86 (define @t5855 () (@var "V_seed_2" $$unsorted)) % 6.62/6.86 (define @t5856 () (@var "V_size_2" $$unsorted)) % 6.62/6.86 (define @t5857 () (@var "V_nrandom_2" $$unsorted)) % 6.62/6.86 (define @t5858 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t200 @t5857) @t5856) @t5855)) % 6.62/6.86 (define @t5859 () (@list @t4915 @t180 @t4918 @t8)) % 6.62/6.86 (define @t5860 () (exists @t5401 (and (= @t4915 (tptp.hAPP @t5355 (tptp.hAPP @t4973 @t5400))) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t129 (tptp.hAPP @t5077 @t5354))) @t3307)) @t422 (= @t4918 (tptp.hAPP @t5699 @t5400))))) % 6.62/6.86 (define @t5861 () (tptp.c_Enum_Oenum__class_Oenum__all @t8)) % 6.62/6.86 (define @t5862 () (tptp.hBOOL (tptp.hAPP @t5861 @t180))) % 6.62/6.86 (define @t5863 () (tptp.hBOOL (tptp.hAPP @t180 @t5051))) % 6.62/6.86 (define @t5864 () (tptp.c_List_Olist__ex @t8 @t180 @t4918)) % 6.62/6.86 (define @t5865 () (= @t4918 (tptp.hAPP (tptp.hAPP @t5328 @t5040) (tptp.hAPP @t4973 @t5833)))) % 6.62/6.86 (define @t5866 () (@list @t5040 @t5833)) % 6.62/6.86 (define @t5867 () (exists @t7 (and @t5113 @t1080))) % 6.62/6.86 (define @t5868 () (tptp.c_List_Olist__all @t8 @t180 @t4918)) % 6.62/6.86 (define @t5869 () (tptp.c_FunDef_Ois__measure @t8 @t2)) % 6.62/6.86 (define @t5870 () (@list @t39 @t2 @t8)) % 6.62/6.86 (define @t5871 () (tptp.c_List_Olist__ex1 @t8 @t180 @t4918)) % 6.62/6.86 (define @t5872 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t5873 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t1057)) % 6.62/6.86 (define @t5874 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 tptp.tc_Code__Numeral_Ocode__numeral @t5873) @t2) @t1229)) % 6.62/6.86 (define @t5875 () (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t3858 @t1229) @t3857))) % 6.62/6.86 (define @t5876 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t39 @t8 @t60 @t2) @t1229)) % 6.62/6.86 (define @t5877 () (= @t1229 @t3843)) % 6.62/6.86 (define @t5878 () (not @t5877)) % 6.62/6.86 (define @t5879 () (@list @t2 @t60 @t8 @t39 @t1229)) % 6.62/6.86 (define @t5880 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t8)) % 6.62/6.86 (define @t5881 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 tptp.tc_Code__Numeral_Ocode__numeral @t5880) @t2) @t1229)) % 6.62/6.86 (define @t5882 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t39 @t8 @t60 @t2) @t1229)) % 6.62/6.86 (define @t5883 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5873)) % 6.62/6.86 (define @t5884 () (tptp.tc_fun @t4810 @t5883)) % 6.62/6.86 (define @t5885 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5884)) % 6.62/6.86 (define @t5886 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t4810 @t5883) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 tptp.tc_Code__Numeral_Ocode__numeral @t5884) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 tptp.tc_Code__Numeral_Ocode__numeral @t5885) @t2) @t5857)) @t5856)) @t5855)) % 6.62/6.86 (define @t5887 () (@list @t5855 @t5856 @t5857 @t2 @t200 @t8 @t39)) % 6.62/6.86 (define @t5888 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5880)) % 6.62/6.86 (define @t5889 () (tptp.tc_fun @t4810 @t5888)) % 6.62/6.86 (define @t5890 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5889)) % 6.62/6.86 (define @t5891 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t4810 @t5888) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 tptp.tc_Code__Numeral_Ocode__numeral @t5889) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 tptp.tc_Code__Numeral_Ocode__numeral @t5890) @t2) @t5857)) @t5856)) @t5855)) % 6.62/6.86 (define @t5892 () (tptp.hAPP @t60 @t1229)) % 6.62/6.86 (define @t5893 () (@list @t1229 @t2 @t60 @t8 @t39)) % 6.62/6.86 (define @t5894 () (@var "V_i_1" $$unsorted)) % 6.62/6.86 (define @t5895 () (tptp.c_New__Random__Sequence_Oneg__single @t8)) % 6.62/6.86 (define @t5896 () (@list @t180 @t2 @t8 @t39)) % 6.62/6.86 (define @t5897 () (@list @t5855 @t5856 @t5857 @t60 @t8)) % 6.62/6.86 (define @t5898 () (@list @t5894 @t371 @t372)) % 6.62/6.86 (define @t5899 () (tptp.c_New__Random__Sequence_Opos__single @t8)) % 6.62/6.86 (define @t5900 () (tptp.c_List_Osplice @t372 @t4908 @t4907)) % 6.62/6.86 (define @t5901 () (@var "V_va" $$unsorted)) % 6.62/6.86 (define @t5902 () (tptp.hAPP (tptp.hAPP @t4957 @t2191) @t5901)) % 6.62/6.86 (define @t5903 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t725 @t57) @t13))) % 6.62/6.86 (define @t5904 () (tptp.c_Predicate_Oconversep @t8 @t39 @t725)) % 6.62/6.86 (define @t5905 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5904 @t13) @t57))) % 6.62/6.86 (define @t5906 () (@list @t57 @t13 @t725 @t39 @t8)) % 6.62/6.86 (define @t5907 () (tptp.c_Predicate_Oconversep @t39 @t8 @t2757)) % 6.62/6.86 (define @t5908 () (tptp.c_Predicate_Oconversep @t39 @t8 @t725)) % 6.62/6.86 (define @t5909 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t1065)) % 6.62/6.86 (define @t5910 () (tptp.tc_fun @t39 @t5909)) % 6.62/6.86 (define @t5911 () (@var "V_s2_2" $$unsorted)) % 6.62/6.86 (define @t5912 () (@var "V_s1_2" $$unsorted)) % 6.62/6.86 (define @t5913 () (tptp.c_List_Oreplicate @t372 @t1211 @t371)) % 6.62/6.86 (define @t5914 () (@list @t371 @t372 @t1211)) % 6.62/6.86 (define @t5915 () (tptp.hAPP (tptp.c_List_Ofilter @t8 @t296) @t4918)) % 6.62/6.86 (define @t5916 () (@list @t371 @t1211 @t372)) % 6.62/6.86 (define @t5917 () (@var "V_lst_2" $$unsorted)) % 6.62/6.86 (define @t5918 () (tptp.hAPP @t5341 @t5913)) % 6.62/6.86 (define @t5919 () (tptp.c_List_Oreplicate @t372 @t1216 @t371)) % 6.62/6.86 (define @t5920 () (@list @t371 @t1216 @t1261 @t372)) % 6.62/6.86 (define @t5921 () (tptp.hAPP @t1397 @t1261)) % 6.62/6.86 (define @t5922 () (tptp.c_List_Oreplicate @t372 @t1261 @t371)) % 6.62/6.86 (define @t5923 () (tptp.hBOOL (tptp.hAPP @t129 (tptp.hAPP @t5077 (tptp.c_List_Oreplicate @t8 @t1196 @t13))))) % 6.62/6.86 (define @t5924 () (@list @t180 @t13 @t1196 @t8)) % 6.62/6.86 (define @t5925 () (tptp.c_List_Oreplicate @t8 @t1196 @t109)) % 6.62/6.86 (define @t5926 () (tptp.c_List_Oreplicate @t8 @t1196 @t60)) % 6.62/6.86 (define @t5927 () (tptp.hAPP @t5699 @t5926)) % 6.62/6.86 (define @t5928 () (@list @t60 @t1196 @t8)) % 6.62/6.86 (define @t5929 () (tptp.hAPP @t5077 @t5926)) % 6.62/6.86 (define @t5930 () (=> @t1988 (= @t5929 @t164))) % 6.62/6.86 (define @t5931 () (@list @t60 @t8 @t1196)) % 6.62/6.86 (define @t5932 () (tptp.c_Lazy__Sequence_Osingle @t4461)) % 6.62/6.86 (define @t5933 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t4461)) % 6.62/6.86 (define @t5934 () (tptp.hAPP (tptp.hAPP @t2297 @t149) @t2270)) % 6.62/6.86 (define @t5935 () (@var "V_yq_2" $$unsorted)) % 6.62/6.86 (define @t5936 () (tptp.hAPP @t5602 @t1229)) % 6.62/6.86 (define @t5937 () (@var "B_e" $$unsorted)) % 6.62/6.86 (define @t5938 () (tptp.c_Lazy__Sequence_Osingle tptp.tc_Int_Oint)) % 6.62/6.86 (define @t5939 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t608 @t1261)) % 6.62/6.86 (define @t5940 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t608) @t1261))) % 6.62/6.86 (define @t5941 () (tptp.c_Lazy__Sequence_Oempty tptp.tc_Int_Oint)) % 6.62/6.86 (define @t5942 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t149 @t1229)) % 6.62/6.86 (define @t5943 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t149) @t1229))) % 6.62/6.86 (define @t5944 () (tptp.c_Wellfounded_Oaccp @t3873 tptp.c_Lazy__Sequence_Osmall__lazy_H__rel)) % 6.62/6.86 (define @t5945 () (@var "V_lazy__sequence" $$unsorted)) % 6.62/6.86 (define @t5946 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t372)) % 6.62/6.86 (define @t5947 () (tptp.c_Nat_Osize__class_Osize @t5946)) % 6.62/6.86 (define @t5948 () (@var "V_yq" $$unsorted)) % 6.62/6.86 (define @t5949 () (@var "V_xq" $$unsorted)) % 6.62/6.86 (define @t5950 () (@var "V_lazy__sequence_H_2" $$unsorted)) % 6.62/6.86 (define @t5951 () (@var "V_lazy__sequence_2" $$unsorted)) % 6.62/6.86 (define @t5952 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t13 @t5951)) % 6.62/6.86 (define @t5953 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t8 @t2203)) % 6.62/6.86 (define @t5954 () (tptp.c_Lazy__Sequence_Oyield @t8)) % 6.62/6.86 (define @t5955 () (tptp.hAPP @t5954 @t5602)) % 6.62/6.86 (define @t5956 () (tptp.c_Nat_Osize__class_Osize @t5880)) % 6.62/6.86 (define @t5957 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2962 @t5880) @t1223)) % 6.62/6.86 (define @t5958 () (tptp.c_COMBC @t5880 tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5959 () (tptp.tc_fun @t5880 tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5960 () (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t5880 tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t5961 () (tptp.tc_prod @t8 @t5880)) % 6.62/6.86 (define @t5962 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t8 @t2757)) % 6.62/6.86 (define @t5963 () (tptp.tc_fun @t5880 @t2962)) % 6.62/6.86 (define @t5964 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t39)) % 6.62/6.86 (define @t5965 () (tptp.hAPP @t5310 @t5951)) % 6.62/6.86 (define @t5966 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t39 @t13 @t5951)) % 6.62/6.86 (define @t5967 () (@list @t5951 @t13 @t3079 @t169 @t39 @t8)) % 6.62/6.86 (define @t5968 () (forall @t7 (=> @t1926 (tptp.c_Relation_Orefl__on @t39 @t1741 @t4179)))) % 6.62/6.86 (define @t5969 () (@list @t725 @t45 @t39 @t199 @t8)) % 6.62/6.86 (define @t5970 () (tptp.c_List_Omember @t8)) % 6.62/6.86 (define @t5971 () (tptp.hAPP @t5970 @t4918)) % 6.62/6.86 (define @t5972 () (tptp.hBOOL (tptp.hAPP @t5971 @t60))) % 6.62/6.86 (define @t5973 () (@var "V_fb_2" $$unsorted)) % 6.62/6.86 (define @t5974 () (tptp.c_Nitpick_Opair__box_OPairBox @t8 @t39 @t13 @t57)) % 6.62/6.86 (define @t5975 () (tptp.c_Nitpick_Opair__box_OPairBox @t39 @t125 @t13 @t57)) % 6.62/6.86 (define @t5976 () (tptp.c_FunDef_OTHE__default @t8 @t149 @t180)) % 6.62/6.86 (define @t5977 () (exists @t7 (and @t1080 (forall @t641 (=> @t3385 @t1172))))) % 6.62/6.86 (define @t5978 () (@var "B_T2" $$unsorted)) % 6.62/6.86 (define @t5979 () (@var "B_T1" $$unsorted)) % 6.62/6.86 (define @t5980 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t372)) % 6.62/6.86 (define @t5981 () (@var "V_lazy__sequence_H" $$unsorted)) % 6.62/6.86 (define @t5982 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t372 @t2653 @t5981)) % 6.62/6.86 (define @t5983 () (@list @t5981 @t2653 @t372)) % 6.62/6.86 (define @t5984 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t39)) % 6.62/6.86 (define @t5985 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t8)) % 6.62/6.86 (define @t5986 () (tptp.c_List_Oall__interval__int @t180 @t1229 @t1228)) % 6.62/6.86 (define @t5987 () (@list @t1228 @t1229 @t180)) % 6.62/6.86 (define @t5988 () (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm)) % 6.62/6.86 (define @t5989 () (tptp.c_DSequence_Osingle @t8)) % 6.62/6.86 (define @t5990 () (tptp.tc_prod @t8 @t5988)) % 6.62/6.86 (define @t5991 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption @t5880)))) % 6.62/6.86 (define @t5992 () (tptp.tc_fun @t5991 @t5991)) % 6.62/6.86 (define @t5993 () (tptp.c_Product__Type_OPair @t5991 @t4810)) % 6.62/6.86 (define @t5994 () (tptp.tc_prod @t5991 @t4810)) % 6.62/6.86 (define @t5995 () (tptp.tc_fun @t4810 @t5994)) % 6.62/6.86 (define @t5996 () (tptp.tc_fun @t5991 @t5995)) % 6.62/6.86 (define @t5997 () (tptp.c_Random__Sequence_ORandom @t8 @t1 @t5857 @t5856)) % 6.62/6.86 (define @t5998 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4803 @t5857) @t3843))) % 6.62/6.86 (define @t5999 () (tptp.hAPP @t5993 (tptp.c_DSequence_Oempty @t8))) % 6.62/6.86 (define @t6000 () (tptp.c_Random__Sequence_Osingle @t8)) % 6.62/6.86 (define @t6001 () (tptp.hAPP @t3331 (tptp.hAPP @t3330 @t4648))) % 6.62/6.86 (define @t6002 () (tptp.c_Relation_Otrans @t8 @t725)) % 6.62/6.86 (define @t6003 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t4737 @t3088)) @t725))) % 6.62/6.86 (define @t6004 () (tptp.hAPP @t3365 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 tptp.tc_HOL_Obool @t52) @t4478) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 @t80 @t52) @t6001) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t52 @t1714 @t80) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1898 @t4651 @t52) @t3379) tptp.c_fequal)) @t74))))) % 6.62/6.86 (define @t6005 () (tptp.tc_fun @t167 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t6006 () (tptp.tc_fun @t167 @t8)) % 6.62/6.86 (define @t6007 () (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6005 tptp.tc_HOL_Obool @t8) (tptp.c_HOL_OEx @t167)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6005 @t6005 @t8) (tptp.hAPP (tptp.c_COMBS @t167 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t218 @t167) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t167 @t6005 tptp.tc_HOL_Obool) (tptp.c_member @t167)) @t45)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t6006 @t6005) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 (tptp.tc_fun @t6006 @t6005) @t8) (tptp.c_COMBB @t8 tptp.tc_HOL_Obool @t167)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t167 @t39 @t8) (tptp.c_COMBI @t167)) @t60)))))) % 6.62/6.86 (define @t6008 () (tptp.c_Predicate_Otransp @t8 @t725)) % 6.62/6.86 (define @t6009 () (tptp.hAPP @t725 @t109)) % 6.62/6.86 (define @t6010 () (tptp.c_Predicate_Otransp @t8 @t200)) % 6.62/6.86 (define @t6011 () (tptp.c_Predicate_Osymp @t8 @t200)) % 6.62/6.86 (define @t6012 () (=> @t6011 (not @t6010))) % 6.62/6.86 (define @t6013 () (tptp.c_Predicate_Oreflp @t8 @t200)) % 6.62/6.86 (define @t6014 () (tptp.c_Predicate_Osymp @t8 @t725)) % 6.62/6.86 (define @t6015 () (tptp.c_Relation_Oantisym @t8 @t725)) % 6.62/6.86 (define @t6016 () (tptp.hBOOL (tptp.hAPP @t4796 @t725))) % 6.62/6.86 (define @t6017 () (@list @t57 @t13 @t725 @t8)) % 6.62/6.86 (define @t6018 () (tptp.tc_fun @t1141 tptp.tc_HOL_Obool)) % 6.62/6.86 (define @t6019 () (tptp.tc_fun @t1141 @t39)) % 6.62/6.86 (define @t6020 () (@var "V_L_2" $$unsorted)) % 6.62/6.86 (define @t6021 () (tptp.c_Relation_Osym @t8 @t725)) % 6.62/6.86 (define @t6022 () (tptp.c_Relation_Osym @t8 @t2757)) % 6.62/6.86 (define @t6023 () (tptp.c_Equiv__Relations_Opart__equivp @t8 @t200)) % 6.62/6.86 (define @t6024 () (tptp.hBOOL (tptp.hAPP @t4284 @t3))) % 6.62/6.86 (define @t6025 () (exists @t7 @t6024)) % 6.62/6.86 (define @t6026 () (tptp.c_Hilbert__Choice_Oinv__into @t8 @t39 @t1021 @t2)) % 6.62/6.86 (define @t6027 () (= (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t8 @t8 @t6026) @t2) @t4594)) % 6.62/6.86 (define @t6028 () (tptp.hAPP @t6026 @t109)) % 6.62/6.86 (define @t6029 () (tptp.c_Hilbert__Choice_Oinv__into @t8 @t39 @t45 @t2)) % 6.62/6.86 (define @t6030 () (tptp.hAPP @t6029 @t109)) % 6.62/6.86 (define @t6031 () (tptp.c_Hilbert__Choice_Oinv__into @t39 @t8 @t45 @t2)) % 6.62/6.86 (define @t6032 () (tptp.hAPP @t6029 @t60)) % 6.62/6.86 (define @t6033 () (tptp.c_Hilbert__Choice_Oinv__into @t39 @t8 @t1058 @t2)) % 6.62/6.86 (define @t6034 () (tptp.c_Set_Oimage @t39 @t8 @t6026)) % 6.62/6.86 (define @t6035 () (tptp.hAPP @t4709 @t4590)) % 6.62/6.86 (define @t6036 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t3)) % 6.62/6.86 (define @t6037 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1281 @t206) @t1444))) % 6.62/6.86 (define @t6038 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t206)) % 6.62/6.86 (define @t6039 () (tptp.c_Quickcheck_Obeyond @t1216 @t1208)) % 6.62/6.86 (define @t6040 () (tptp.c_Fun_Obij__betw @t8 @t39 @t2 @t1021 @t1058)) % 6.62/6.86 (define @t6041 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t8 @t39 tptp.tc_HOL_Obool @t2) @t13) @t57))) % 6.62/6.86 (define @t6042 () (tptp.hBOOL (tptp.hAPP @t2 @t3939))) % 6.62/6.86 (define @t6043 () (tptp.c_Fun_Obij__betw @t8 @t39 @t2 @t45 @t74)) % 6.62/6.86 (define @t6044 () (tptp.c_Fun_Obij__betw @t8 @t39 @t2 @t45 @t544)) % 6.62/6.86 (define @t6045 () (@var "V_A_H_H_2" $$unsorted)) % 6.62/6.86 (define @t6046 () (tptp.c_Fun_Obij__betw @t8 @t39 @t2 @t74 @t4621)) % 6.62/6.86 (define @t6047 () (= @t1174 @t1058)) % 6.62/6.86 (define @t6048 () (tptp.hAPP @t1013 @t662)) % 6.62/6.86 (define @t6049 () (@var "B_h" $$unsorted)) % 6.62/6.86 (define @t6050 () (@list @t6049)) % 6.62/6.86 (define @t6051 () (tptp.hBOOL (tptp.hAPP @t42 @t662))) % 6.62/6.86 (define @t6052 () (tptp.hAPP @t2453 @t6048)) % 6.62/6.86 (define @t6053 () (tptp.c_Quotient_ORespects @t8 @t200)) % 6.62/6.86 (define @t6054 () (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t129 @t6053)) @t1080))) % 6.62/6.86 (define @t6055 () (tptp.hAPP @t504 @t447)) % 6.62/6.86 (define @t6056 () (@var "V_by_2" $$unsorted)) % 6.62/6.86 (define @t6057 () (@var "V_bx_2" $$unsorted)) % 6.62/6.86 (define @t6058 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 @t6057) @t6056))) % 6.62/6.86 (define @t6059 () (@var "B_ba" $$unsorted)) % 6.62/6.86 (define @t6060 () (@var "B_aa" $$unsorted)) % 6.62/6.86 (define @t6061 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 @t6060) @t6059))) % 6.62/6.86 (define @t6062 () (tptp.hAPP (tptp.hAPP @t3899 @t6060) @t6059)) % 6.62/6.86 (define @t6063 () (tptp.hAPP @t4264 @t4039)) % 6.62/6.86 (define @t6064 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4265 (tptp.hAPP @t6063 @t6062)) @t725))) % 6.62/6.86 (define @t6065 () (tptp.c_Transitive__Closure_Ortrancl @t1065 @t725)) % 6.62/6.86 (define @t6066 () (@var "V_ay_2" $$unsorted)) % 6.62/6.86 (define @t6067 () (@var "V_ax_2" $$unsorted)) % 6.62/6.86 (define @t6068 () (tptp.hAPP @t4264 (tptp.hAPP (tptp.hAPP @t3899 @t6067) @t6066))) % 6.62/6.86 (define @t6069 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 @t6067) @t6066))) % 6.62/6.86 (define @t6070 () (tptp.hAPP (tptp.hAPP @t3899 @t6057) @t6056)) % 6.62/6.86 (define @t6071 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4265 (tptp.hAPP @t6068 @t6070)) @t6065))) % 6.62/6.86 (define @t6072 () (@list @t180 @t725 @t6056 @t6057 @t6066 @t6067 @t39 @t8)) % 6.62/6.86 (define @t6073 () (@var "V_zb_2" $$unsorted)) % 6.62/6.86 (define @t6074 () (@var "V_za_2" $$unsorted)) % 6.62/6.86 (define @t6075 () (tptp.hAPP (tptp.hAPP @t3899 @t6074) @t6073)) % 6.62/6.86 (define @t6076 () (@var "V_xb_2" $$unsorted)) % 6.62/6.86 (define @t6077 () (tptp.hAPP (tptp.hAPP @t3899 @t4355) @t6076)) % 6.62/6.86 (define @t6078 () (tptp.hAPP @t4264 @t6077)) % 6.62/6.86 (define @t6079 () (@var "B_z2" $$unsorted)) % 6.62/6.86 (define @t6080 () (@var "B_z1" $$unsorted)) % 6.62/6.86 (define @t6081 () (@var "B_y2" $$unsorted)) % 6.62/6.86 (define @t6082 () (@var "B_y1" $$unsorted)) % 6.62/6.86 (define @t6083 () (@var "V_xqq" $$unsorted)) % 6.62/6.86 (define @t6084 () (tptp.c_List_Oall__interval__nat @t180 @t1229 @t1228)) % 6.62/6.86 (define @t6085 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 6.62/6.86 (define @t6086 () (tptp.hAPP @t6085 @t371)) % 6.62/6.86 (define @t6087 () (tptp.c_Rings_Odvd__class_Odvd @t372)) % 6.62/6.86 (define @t6088 () (tptp.hAPP @t6087 @t403)) % 6.62/6.86 (define @t6089 () (tptp.hAPP @t6085 @t307)) % 6.62/6.86 (define @t6090 () (tptp.hBOOL (tptp.hAPP @t6089 @t1196))) % 6.62/6.86 (define @t6091 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6085 @t2033) @t2032))) % 6.62/6.86 (define @t6092 () (tptp.c_Rings_Odvd__class_Odvd @t8)) % 6.62/6.86 (define @t6093 () (tptp.hAPP @t6092 @t149)) % 6.62/6.86 (define @t6094 () (tptp.hAPP @t587 @t3)) % 6.62/6.86 (define @t6095 () (tptp.class_Rings_Odvd @t8)) % 6.62/6.86 (define @t6096 () (tptp.c_Divides_Odiv__class_Odiv @t8)) % 6.62/6.86 (define @t6097 () (tptp.hAPP (tptp.hAPP @t6096 @t57) @t13)) % 6.62/6.86 (define @t6098 () (tptp.hAPP @t6092 @t13)) % 6.62/6.86 (define @t6099 () (tptp.hBOOL (tptp.hAPP @t6098 @t57))) % 6.62/6.86 (define @t6100 () (tptp.class_Divides_Osemiring__div @t8)) % 6.62/6.86 (define @t6101 () (tptp.hAPP @t2603 @t407)) % 6.62/6.86 (define @t6102 () (tptp.hAPP @t6101 @t403)) % 6.62/6.86 (define @t6103 () (tptp.hBOOL (tptp.hAPP @t6088 @t407))) % 6.62/6.86 (define @t6104 () (tptp.hAPP @t6087 @t404)) % 6.62/6.86 (define @t6105 () (tptp.hBOOL (tptp.hAPP @t6104 @t407))) % 6.62/6.86 (define @t6106 () (tptp.hAPP @t670 @t6102)) % 6.62/6.86 (define @t6107 () (tptp.hAPP @t2603 @t371)) % 6.62/6.86 (define @t6108 () (tptp.hAPP @t6107 @t381)) % 6.62/6.86 (define @t6109 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6087 @t381) @t371))) % 6.62/6.86 (define @t6110 () (tptp.hBOOL (tptp.hAPP @t6088 @t672))) % 6.62/6.86 (define @t6111 () (tptp.hBOOL (tptp.hAPP @t6088 @t404))) % 6.62/6.86 (define @t6112 () (tptp.hAPP @t6087 @t407)) % 6.62/6.86 (define @t6113 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6087 @t674) @t404))) % 6.62/6.86 (define @t6114 () (tptp.hBOOL (tptp.hAPP @t6112 @t404))) % 6.62/6.86 (define @t6115 () (or @t2781 @t6099)) % 6.62/6.86 (define @t6116 () (tptp.hAPP (tptp.hAPP @t2228 @t13) @t2227)) % 6.62/6.86 (define @t6117 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t6085 @t13 @t57)) % 6.62/6.86 (define @t6118 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6085 @t57) @t13))) % 6.62/6.86 (define @t6119 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6085 @t13) @t57))) % 6.62/6.86 (define @t6120 () (not (and @t6119 (not @t6118)))) % 6.62/6.86 (define @t6121 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t1443 @t1443) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5073 @t4195 tptp.tc_Nat_Onat) @t3279) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1443 @t5073 tptp.tc_Nat_Onat) @t3278) @t6085))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1443 @t1443 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 @t3274 @t6085)))) % 6.62/6.86 (define @t6122 () (tptp.c_SetInterval_Oord_OatLeastLessThan tptp.tc_Nat_Onat @t6085 @t6121 @t13 @t57)) % 6.62/6.86 (define @t6123 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6085 @t1455) @t1199))) % 6.62/6.86 (define @t6124 () (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6085 @t1199) @t1455)) (not @t6123)))) % 6.62/6.86 (define @t6125 () (tptp.c_SetInterval_Oord_OgreaterThanAtMost tptp.tc_Nat_Onat @t6085 @t6121 @t1199 @t1455)) % 6.62/6.86 (define @t6126 () (= @t6122 @t2227)) % 6.62/6.86 (define @t6127 () (= @t6125 @t2227)) % 6.62/6.86 (define @t6128 () (@list @t1199 @t1455)) % 6.62/6.86 (define @t6129 () (not @t6119)) % 6.62/6.86 (define @t6130 () (= @t6117 @t2227)) % 6.62/6.86 (define @t6131 () (tptp.hAPP @t834 @t6108)) % 6.62/6.86 (define @t6132 () (tptp.hAPP @t6092 @t60)) % 6.62/6.86 (define @t6133 () (tptp.hBOOL (tptp.hAPP @t6132 @t109))) % 6.62/6.86 (define @t6134 () (tptp.class_Rings_Ocomm__ring__1 @t8)) % 6.62/6.86 (define @t6135 () (tptp.hAPP @t6087 @t1216)) % 6.62/6.86 (define @t6136 () (tptp.hBOOL (tptp.hAPP @t6135 @t793))) % 6.62/6.86 (define @t6137 () (tptp.hBOOL (tptp.hAPP @t6135 @t1211))) % 6.62/6.86 (define @t6138 () (tptp.hBOOL (tptp.hAPP @t6135 (tptp.c_Divides_Odiv__class_Omod @t372 @t793 @t1211)))) % 6.62/6.86 (define @t6139 () (@list @t1211 @t793 @t1216 @t372)) % 6.62/6.86 (define @t6140 () (tptp.hAPP @t6092 @t1199)) % 6.62/6.86 (define @t6141 () (tptp.hBOOL (tptp.hAPP @t6086 @t381))) % 6.62/6.86 (define @t6142 () (tptp.hAPP @t6085 @t381)) % 6.62/6.86 (define @t6143 () (tptp.hBOOL (tptp.hAPP @t6142 @t371))) % 6.62/6.86 (define @t6144 () (and @t6141 (not @t6143))) % 6.62/6.86 (define @t6145 () (tptp.hAPP @t6085 @t392)) % 6.62/6.86 (define @t6146 () (@var "T_1" $$unsorted)) % 6.62/6.86 (define @t6147 () (@var "T_2" $$unsorted)) % 6.62/6.86 (define @t6148 () (tptp.tc_fun @t6147 @t6146)) % 6.62/6.86 (define @t6149 () (tptp.class_Lattices_Obounded__lattice @t6146)) % 6.62/6.86 (define @t6150 () (@list @t6147 @t6146)) % 6.62/6.86 (define @t6151 () (tptp.class_Lattices_Olattice @t6146)) % 6.62/6.86 (define @t6152 () (tptp.class_Finite__Set_Ofinite @t6146)) % 6.62/6.86 (define @t6153 () (and (tptp.class_Finite__Set_Ofinite @t6147) @t6152)) % 6.62/6.86 (define @t6154 () (@list @t6146 @t6147)) % 6.62/6.86 (define @t6155 () (tptp.class_Enum_Oenum @t6146)) % 6.62/6.86 (define @t6156 () (and (tptp.class_Enum_Oenum @t6147) @t6155)) % 6.62/6.86 (define @t6157 () (tptp.tc_List_Olist @t6146)) % 6.62/6.86 (define @t6158 () (tptp.class_Lazy__Sequence_Osmall__lazy @t6146)) % 6.62/6.86 (define @t6159 () (@list @t6146)) % 6.62/6.86 (define @t6160 () (tptp.tc_sum @t6147 @t6146)) % 6.62/6.86 (define @t6161 () (tptp.tc_Option_Ooption @t6146)) % 6.62/6.86 (define @t6162 () (tptp.tc_prod @t6147 @t6146)) % 6.62/6.86 (define @t6163 () (@var "V_P" $$unsorted)) % 6.62/6.86 (define @t6164 () (@var "V_Q" $$unsorted)) % 6.62/6.86 (define @t6165 () (tptp.hAPP @t179 @t200)) % 6.62/6.86 (define @t6166 () (tptp.hAPP @t180 @t200)) % 6.62/6.86 (define @t6167 () (@list @t200 @t179 @t180 @t8 @t125 @t39)) % 6.62/6.86 (define @t6168 () (tptp.hBOOL (tptp.hAPP @t296 @t109))) % 6.62/6.86 (define @t6169 () (tptp.hBOOL @t180)) % 6.62/6.86 (define @t6170 () (not @t6169)) % 6.62/6.86 (define @t6171 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t180))) % 6.62/6.86 (define @t6172 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t180) @t179))) % 6.62/6.86 (define @t6173 () (tptp.hBOOL @t179)) % 6.62/6.86 (define @t6174 () (not @t6173)) % 6.62/6.86 (define @t6175 () (@list @t179 @t180)) % 6.62/6.86 (define @t6176 () (not @t6172)) % 6.62/6.86 (define @t6177 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t180) @t179))) % 6.62/6.86 (define @t6178 () (@list @t180 @t179)) % 6.62/6.86 (define @t6179 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t180) @t179))) % 6.62/6.86 (define @t6180 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) % 6.62/6.86 (define @t6181 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t6180 tptp.tc_HOL_Obool))) % 6.62/6.86 (define @t6182 () (@var "B_p" $$unsorted)) % 6.62/6.86 (define @t6183 () (tptp.hAPP tptp.v_c0 @t6182)) % 6.62/6.86 (define @t6184 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_b)) % 6.62/6.86 (define @t6185 () (tptp.c_Set_Oinsert @t6180)) % 6.62/6.86 (define @t6186 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_b tptp.v_G (tptp.hAPP (tptp.hAPP @t6185 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6184 (tptp.hAPP tptp.v_P @t6182)) @t6183) (tptp.hAPP tptp.v_Q @t6182))) @t6181))) % 6.62/6.86 (define @t6187 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_b tptp.v_G (tptp.hAPP (tptp.hAPP @t6185 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6184 (tptp.hAPP tptp.v_P_H @t6182)) @t6183) (tptp.hAPP tptp.v_Q_H @t6182))) @t6181))) % 6.62/6.86 (define @t6188 () (forall (@list @t6182) (=> @t6187 @t6186))) % 6.62/6.86 (define @t6189 () (tptp.tc_fun tptp.t_b @t186)) % 6.62/6.86 (define @t6190 () (tptp.tc_fun @t6189 @t6180)) % 6.62/6.86 (define @t6191 () (tptp.hAPP (tptp.c_COMBB @t6189 (tptp.tc_fun tptp.tc_Com_Ocom @t6190) tptp.t_a) @t6184)) % 6.62/6.86 (define @t6192 () (tptp.c_COMBS tptp.t_a tptp.tc_Com_Ocom @t6190)) % 6.62/6.86 (define @t6193 () (tptp.c_COMBS tptp.t_a @t6189 @t6180)) % 6.62/6.86 (define @t6194 () (tptp.hAPP (tptp.c_Set_Oimage tptp.t_a @t6180 (tptp.hAPP (tptp.hAPP @t6193 (tptp.hAPP (tptp.hAPP @t6192 (tptp.hAPP @t6191 tptp.v_P)) tptp.v_c0)) tptp.v_Q)) tptp.v_F)) % 6.62/6.86 (define @t6195 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_b tptp.v_G @t6194)) % 6.62/6.86 (define @t6196 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_b tptp.v_G (tptp.hAPP (tptp.c_Set_Oimage tptp.t_a @t6180 (tptp.hAPP (tptp.hAPP @t6193 (tptp.hAPP (tptp.hAPP @t6192 (tptp.hAPP @t6191 tptp.v_P_H)) tptp.v_c0)) tptp.v_Q_H)) tptp.v_F))) % 6.62/6.86 (define @t6197 () (tptp.hAPP tptp.v_c0 tptp.v_x)) % 6.62/6.86 (define @t6198 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_b tptp.v_G (tptp.hAPP (tptp.hAPP @t6185 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6184 (tptp.hAPP tptp.v_P_H tptp.v_x)) @t6197) (tptp.hAPP tptp.v_Q_H tptp.v_x))) @t6181))) % 6.62/6.86 (define @t6199 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6184 (tptp.hAPP tptp.v_P tptp.v_x)) @t6197) (tptp.hAPP tptp.v_Q tptp.v_x))) % 6.62/6.86 (define @t6200 () (tptp.hAPP @t6185 @t6199)) % 6.62/6.86 (define @t6201 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_b tptp.v_G (tptp.hAPP @t6200 @t6194))) % 6.62/6.86 (define @t6202 () (not @t25)) % 6.62/6.86 (define @t6203 () (not @t34)) % 6.62/6.86 (define @t6204 () (not @t6195)) % 6.62/6.86 (define @t6205 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_b tptp.v_G (tptp.hAPP @t6200 @t6181))) % 6.62/6.86 (define @t6206 () (not @t6205)) % 6.62/6.86 (define @t6207 () (or @t6206 @t6204 @t6201)) % 6.62/6.86 (define @t6208 () (@list true false false)) % 6.62/6.86 (define @t6209 () (not @t6198)) % 6.62/6.86 (define @t6210 () (or @t6209 @t6205)) % 6.62/6.86 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t7 @t6) (= @t2 @t1)))) % 6.62/6.86 (assume @p2 (forall (@list @t12 @t8) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t11))) % 6.62/6.86 (assume @p3 (forall @t14 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t13 @t11))) % 6.62/6.86 (assume @p4 (forall (@list @t15 @t17 @t20 @t16 @t18 @t21 @t8) (= (= @t23 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t22 @t20) @t17) @t15)) (and (= @t21 @t20) @t19 (= @t16 @t15))))) % 6.62/6.86 (assume @p5 (forall @t28 (=> @t27 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t26) @t25)))) % 6.62/6.86 (assume @p6 @t36) % 6.62/6.86 (assume @p7 (forall @t35 (=> @t32 (and @t34 @t25)))) % 6.62/6.86 (assume @p8 (forall @t44 (=> @t43 (tptp.hBOOL (tptp.hAPP @t41 (tptp.hAPP @t40 @t37)))))) % 6.62/6.86 (assume @p9 (forall @t51 (=> @t50 @t49))) % 6.62/6.86 (assume @p10 (forall @t54 (tptp.hBOOL (tptp.hAPP @t42 @t53)))) % 6.62/6.86 (assume @p11 (forall (@list @t8 @t45 @t39 @t60 @t2 @t57) (=> @t65 (=> @t63 (tptp.hBOOL (tptp.hAPP @t59 @t56)))))) % 6.62/6.86 (assume @p12 (forall @t73 (=> @t72 (=> @t69 @t67)))) % 6.62/6.86 (assume @p13 (forall @t79 (=> (=> @t78 @t68) @t76))) % 6.62/6.86 (assume @p14 (forall @t14 (not (tptp.hBOOL (tptp.hAPP @t66 @t53))))) % 6.62/6.86 (assume @p15 (forall (@list @t82 @t39 @t45 @t60 @t8) (=> @t88 @t86))) % 6.62/6.86 (assume @p16 (forall @t91 (and (=> @t89 (= @t85 @t81)) (=> @t90 @t86)))) % 6.62/6.86 (assume @p17 (forall @t94 (=> @t88 (= (tptp.hAPP (tptp.hAPP @t83 @t64) @t93) @t93)))) % 6.62/6.86 (assume @p18 (forall @t98 (= @t97 @t95))) % 6.62/6.86 (assume @p19 (forall @t98 (=> @t97 @t95))) % 6.62/6.86 (assume @p20 (forall (@list @t82 @t8 @t74 @t45) (=> @t106 (=> @t105 (not @t103))))) % 6.62/6.86 (assume @p21 (forall @t108 (=> @t68 (=> @t107 @t67)))) % 6.62/6.86 (assume @p22 (forall (@list @t45 @t8 @t109 @t60) (=> @t112 (= @t88 @t111)))) % 6.62/6.86 (assume @p23 (forall (@list @t60 @t8 @t74 @t45) (=> @t106 (= @t88 @t113)))) % 6.62/6.86 (assume @p24 (forall @t116 (= @t88 @t115))) % 6.62/6.86 (assume @p25 (forall @t118 (=> @t117 @t50))) % 6.62/6.86 (assume @p26 (forall (@list @t60 @t45 @t109 @t8) (= (tptp.hBOOL (tptp.hAPP @t121 @t60)) (or @t119 @t115)))) % 6.62/6.86 (assume @p27 (forall @t124 (= (tptp.hAPP @t122 @t121) (tptp.hAPP @t120 @t123)))) % 6.62/6.86 (assume @p28 (forall @t116 (= (tptp.hAPP @t122 @t123) @t123))) % 6.62/6.86 (assume @p29 (forall (@list @t45 @t1 @t125 @t2 @t8 @t39) (= (tptp.hAPP @t55 (tptp.hAPP @t127 @t45)) (tptp.hAPP (tptp.c_Set_Oimage @t125 @t8 (tptp.hAPP (tptp.hAPP @t126 @t2) @t1)) @t45)))) % 6.62/6.86 (assume @p30 (forall (@list @t13 @t8 @t45) (=> @t89 @t128))) % 6.62/6.86 (assume @p31 (forall (@list @t82 @t8) (not (tptp.hBOOL (tptp.hAPP @t99 @t53))))) % 6.62/6.86 (assume @p32 (forall @t118 (= @t131 @t90))) % 6.62/6.86 (assume @p33 (forall @t118 (= (forall @t7 @t132) @t89))) % 6.62/6.86 (assume @p34 (forall @t133 (=> @t67 (= @t48 @t45)))) % 6.62/6.86 (assume @p35 (forall @t79 (=> @t77 @t76))) % 6.62/6.86 (assume @p36 (forall @t137 (=> @t136 (=> @t135 (= (= @t123 @t134) @t106))))) % 6.62/6.86 (assume @p37 (forall @t73 (= @t72 @t138))) % 6.62/6.86 (assume @p38 (forall @t140 (tptp.hBOOL (tptp.hAPP @t66 @t139)))) % 6.62/6.86 (assume @p39 (forall (@list @t39 @t2 @t57 @t45 @t60 @t8) (=> @t88 (=> @t65 (tptp.hBOOL (tptp.hAPP @t141 @t93)))))) % 6.62/6.86 (assume @p40 (forall @t94 (=> @t88 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t64) @t93))))) % 6.62/6.86 (assume @p41 (forall (@list @t45 @t2 @t39 @t142 @t8) (= (tptp.hBOOL (tptp.hAPP @t145 @t56)) (exists @t7 (and @t144 (= @t142 @t5)))))) % 6.62/6.86 (assume @p42 (forall @t147 (=> (= @t96 @t146) @t68))) % 6.62/6.86 (assume @p43 (forall @t155 (= (= @t154 (tptp.hAPP @t153 (tptp.hAPP (tptp.hAPP @t46 @t149) @t53))) (or @t152 (and (= @t13 @t149) @t148))))) % 6.62/6.86 (assume @p44 (forall @t133 (not (= @t48 @t53)))) % 6.62/6.86 (assume @p45 (forall @t133 (not (= @t53 @t48)))) % 6.62/6.86 (assume @p46 (forall @t133 (= @t49 @t50))) % 6.62/6.86 (assume @p47 (forall @t157 (= (= @t56 @t53) @t156))) % 6.62/6.86 (assume @p48 (forall @t158 (= (tptp.hAPP @t55 @t81) @t53))) % 6.62/6.86 (assume @p49 (forall @t159 (= (= @t53 @t56) @t156))) % 6.62/6.86 (assume @p50 (forall (@list @t74 @t13 @t2 @t8 @t39) (= (tptp.hAPP @t55 @t163) (tptp.hAPP (tptp.hAPP @t46 @t161) @t160)))) % 6.62/6.86 (assume @p51 (forall @t165 (= (tptp.c_Set_Othe__elem @t8 @t164) @t60))) % 6.62/6.86 (assume @p52 (forall @t168 (=> (tptp.class_Orderings_Obot @t8) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t167) @t60) @t166)))) % 6.62/6.86 (assume @p53 (forall @t165 (= (tptp.hBOOL (tptp.hAPP @t53 @t60)) (tptp.hBOOL (tptp.hAPP @t87 @t53))))) % 6.62/6.86 (assume @p54 (forall @t172 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t39 @t8 @t169 @t171) @t170))) % 6.62/6.86 (assume @p55 (forall @t172 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t39 @t8 @t169 @t171) @t170))) % 6.62/6.86 (assume @p56 (forall @t178 (=> @t177 (=> @t50 (=> @t136 @t176))))) % 6.62/6.86 (assume @p57 (forall (@list @t179 @t82 @t12 @t8 @t180) (=> (forall @t190 (=> @t189 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t22 (tptp.hAPP @t187 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Com_Ostate tptp.tc_HOL_Obool) tptp.c_fequal) @t188))) @t82) (tptp.hAPP @t187 @t185))) @t11)))) @t183))) % 6.62/6.86 (assume @p58 (forall @t178 (=> @t191 (=> @t50 @t176)))) % 6.62/6.86 (assume @p59 (forall (@list @t192 @t193 @t8) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t193 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t22 @t192) tptp.c_Com_Ocom_OSKIP) @t192)) @t11)))) % 6.62/6.86 (assume @p60 (forall (@list @t180 @t12 @t8) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP @t181 tptp.c_Com_Ocom_OSKIP) @t180)) @t11)))) % 6.62/6.86 (assume @p61 (forall (@list @t180 @t179 @t82 @t194 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t22 @t194) @t82) @t179)) @t11)) (=> (forall @t190 (=> @t189 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 @t184) @t188)))) @t183)))) % 6.62/6.86 (assume @p62 (forall @t196 (=> @t191 @t195))) % 6.62/6.86 (assume @p63 (forall @t198 (= (tptp.hBOOL (tptp.hAPP @t87 @t197)) @t112))) % 6.62/6.86 (assume @p64 (forall @t196 (=> @t177 (= (tptp.hAPP @t37 @t164) @t60)))) % 6.62/6.86 (assume @p65 (forall @t178 (=> @t191 (=> @t50 (=> @t88 (= @t174 @t173)))))) % 6.62/6.86 (assume @p66 (forall @t205 (= (= @t204 @t203) @t201))) % 6.62/6.86 (assume @p67 (forall @t211 (=> @t177 (=> @t50 (=> @t90 (=> (forall @t210 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t209) @t208))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t173) @t45)))))))) % 6.62/6.86 (assume @p68 (forall (@list @t179 @t212 @t82 @t180 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP @t182 @t212)) @t11)) (=> (forall @t190 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 @t184) @t188)) (tptp.hBOOL (tptp.hAPP @t185 @t188)))) @t183)))) % 6.62/6.86 (assume @p69 (forall (@list @t200 @t149 @t179 @t82 @t180 @t12 @t8) (=> @t183 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t22 @t179) @t149) @t200)) @t11)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP @t181 (tptp.c_Com_Ocom_OSemi @t82 @t149)) @t200)) @t11)))))) % 6.62/6.86 (assume @p70 (forall (@list @t215 @t8) (= (tptp.c_Set_Othe__elem @t8 @t215) (tptp.c_HOL_OThe @t8 (tptp.hAPP (tptp.hAPP @t216 (tptp.hAPP tptp.c_fequal @t215)) @t214))))) % 6.62/6.86 (assume @p71 (forall @t220 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t22 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t186 @t186) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t219 (tptp.tc_fun @t186 @t186) @t8) (tptp.c_COMBS tptp.tc_Com_Ostate tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t186 @t219 @t8) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t218 tptp.tc_Com_Ostate) tptp.c_fconj)) @t180))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate) tptp.c_fNot) @t57))) @t217) @t180)) @t11)))) % 6.62/6.86 (assume @p72 (forall (@list @t221 @t38 @t37 @t2 @t8) (=> @t191 (=> (forall @t210 (= (tptp.hAPP @t38 @t209) (tptp.hAPP (tptp.hAPP @t2 @t227) @t226))) (=> @t225 (=> @t224 (= (tptp.hAPP @t38 (tptp.hAPP @t37 @t221)) (tptp.hAPP @t37 @t223)))))))) % 6.62/6.86 (assume @p73 (forall @t236 (=> @t235 (=> @t234 (=> (not @t63) @t233))))) % 6.62/6.86 (assume @p74 (forall @t178 (=> @t177 (=> @t50 (=> @t88 (and (=> @t242 (= @t173 @t60)) (=> @t243 (= @t173 @t241)))))))) % 6.62/6.86 (assume @p75 (forall @t236 (=> @t244 (=> @t234 @t233)))) % 6.62/6.86 (assume @p76 (forall (@list @t180 @t37 @t8) (=> @t43 (=> @t249 (=> (forall (@list @t3 @t246) (=> @t248 (=> (not (tptp.hBOOL (tptp.hAPP @t129 @t246))) (=> @t247 (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t207 @t246))))))) @t245))))) % 6.62/6.86 (assume @p77 (forall @t236 (=> @t244 (=> @t234 (=> @t63 (= @t230 @t173)))))) % 6.62/6.86 (assume @p78 (forall @t252 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t8 @t251) @t250) @t250))) % 6.62/6.86 (assume @p79 (forall @t256 (=> @t255 (not @t253)))) % 6.62/6.86 (assume @p80 (forall @t256 (=> @t101 (=> @t104 @t255)))) % 6.62/6.86 (assume @p81 (forall @t258 (=> @t50 @t257))) % 6.62/6.86 (assume @p82 (forall @t258 (= (tptp.hAPP @t259 @t74) @t254))) % 6.62/6.86 (assume @p83 (forall (@list @t60 @t37 @t1 @t142 @t2 @t39 @t8) (=> @t244 @t195))) % 6.62/6.86 (assume @p84 (forall @t256 (=> @t255 @t104))) % 6.62/6.86 (assume @p85 (forall @t256 (=> @t255 @t101))) % 6.62/6.86 (assume @p86 (forall @t256 (= @t255 (and @t101 @t104)))) % 6.62/6.86 (assume @p87 (forall @t118 (= (tptp.hAPP @t238 @t45) @t53))) % 6.62/6.86 (assume @p88 (forall @t118 (= (tptp.hAPP @t238 @t53) @t45))) % 6.62/6.86 (assume @p89 (forall @t118 (= (tptp.hAPP (tptp.hAPP @t237 @t53) @t45) @t53))) % 6.62/6.86 (assume @p90 (forall @t261 (=> @t260 (= @t257 @t50)))) % 6.62/6.86 (assume @p91 (forall @t236 (=> @t235 (=> @t234 (= @t232 @t264))))) % 6.62/6.86 (assume @p92 (forall @t268 @t267)) % 6.62/6.86 (assume @p93 (forall @t268 (and @t267 (=> @t135 (= @t266 (tptp.hAPP @t122 @t254)))))) % 6.62/6.86 (assume @p94 (forall @t133 (= @t270 @t48))) % 6.62/6.86 (assume @p95 (forall @t272 (= @t271 (tptp.hAPP (tptp.hAPP @t237 @t269) @t74)))) % 6.62/6.86 (assume @p96 (forall @t272 (= @t271 (tptp.hAPP @t259 @t96)))) % 6.62/6.86 (assume @p97 (forall @t272 (= (tptp.hBOOL (tptp.hAPP @t42 @t271)) @t257))) % 6.62/6.86 (assume @p98 (forall (@list @t37 @t1 @t142 @t2 @t39 @t8) (=> @t235 (= (tptp.hAPP @t37 @t81) @t142)))) % 6.62/6.86 (assume @p99 (forall @t236 (=> @t235 (=> @t234 (=> @t63 (= @t173 @t264)))))) % 6.62/6.86 (assume @p100 (forall @t133 (=> @t67 (= @t270 @t45)))) % 6.62/6.86 (assume @p101 (forall @t116 (=> @t136 (= (tptp.hAPP @t265 @t164) @t45)))) % 6.62/6.86 (assume @p102 (forall @t178 (=> @t177 (=> @t50 (and (=> @t242 (= @t175 @t60)) (=> @t243 (= @t175 @t241))))))) % 6.62/6.86 (assume @p103 (forall (@list @t60 @t74 @t45 @t39 @t8) (=> (tptp.class_Groups_Ominus @t8) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t167) @t45) @t74) @t60) (tptp.hAPP (tptp.hAPP @t274 @t114) @t273))))) % 6.62/6.86 (assume @p104 (forall @t278 (not (= tptp.c_Com_Ocom_OSKIP @t277)))) % 6.62/6.86 (assume @p105 (forall @t278 (not (= @t277 tptp.c_Com_Ocom_OSKIP)))) % 6.62/6.86 (assume @p106 (forall @t281 (not (= tptp.c_Com_Ocom_OSKIP @t280)))) % 6.62/6.86 (assume @p107 (forall @t281 (not (= @t280 tptp.c_Com_Ocom_OSKIP)))) % 6.62/6.86 (assume @p108 (forall (@list @t17 @t279 @t282 @t283) (not (= @t284 @t280)))) % 6.62/6.86 (assume @p109 (forall (@list @t282 @t283 @t17 @t279) (not (= @t280 @t284)))) % 6.62/6.86 (assume @p110 (forall (@list @t109 @t2 @t39 @t45 @t60 @t8) (and (=> @t88 (= @t286 (tptp.hAPP (tptp.hAPP @t83 @t109) (tptp.hAPP @t92 @t239)))) (=> @t136 (= @t286 @t93))))) % 6.62/6.86 (assume @p111 (forall (@list @t180 @t45 @t8) (=> @t50 (=> (tptp.hBOOL (tptp.hAPP @t180 @t45)) (=> (forall @t292 (=> (tptp.hBOOL (tptp.hAPP @t42 @t289)) (=> @t291 (=> (tptp.hBOOL (tptp.hAPP @t180 @t289)) (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP (tptp.hAPP @t237 @t289) (tptp.hAPP @t288 @t53)))))))) @t249))))) % 6.62/6.86 (assume @p112 (forall @t54 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t52 @t295))) % 6.62/6.86 (assume @p113 (forall @t165 (= (tptp.c_HOL_OThe @t8 @t296) @t60))) % 6.62/6.86 (assume @p114 (forall @t297 (= (tptp.c_Fun_Ofun__upd @t8 @t39 @t2 @t60 @t64) @t2))) % 6.62/6.86 (assume @p115 (forall @t299 (= (= @t285 @t2) @t298))) % 6.62/6.86 (assume @p116 (forall @t300 (= (tptp.c_Fun_Ofun__upd @t8 @t39 @t285 @t60 @t142) (tptp.c_Fun_Ofun__upd @t8 @t39 @t2 @t60 @t142)))) % 6.62/6.86 (assume @p117 (forall (@list @t109 @t60 @t2 @t8 @t39) (= (tptp.hAPP @t301 @t60) @t109))) % 6.62/6.86 (assume @p118 (forall @t306 (and (=> @t304 (= @t303 @t109)) @t305))) % 6.62/6.86 (assume @p119 (forall (@list @t149 @t57 @t307 @t39 @t8 @t82 @t13) (=> (not @t151) (= (tptp.c_Fun_Ofun__upd @t8 @t39 (tptp.c_Fun_Ofun__upd @t8 @t39 @t307 @t13 @t57) @t82 @t149) (tptp.c_Fun_Ofun__upd @t8 @t39 (tptp.c_Fun_Ofun__upd @t8 @t39 @t307 @t82 @t149) @t13 @t57))))) % 6.62/6.86 (assume @p120 (forall @t306 @t305)) % 6.62/6.86 (assume @p121 (forall (@list @t8 @t39 @t109 @t60 @t2) (=> @t298 (= @t301 @t2)))) % 6.62/6.86 (assume @p122 (forall (@list @t142 @t60 @t2 @t39 @t8) (=> @t309 (= (tptp.hAPP @t64 @t308) @t308)))) % 6.62/6.86 (assume @p123 (forall (@list @t57 @t2 @t39 @t8 @t13 @t60) (and (=> @t311 (= @t310 @t57)) (=> (not @t311) (= @t310 @t64))))) % 6.62/6.86 (assume @p124 (forall @t314 (=> @t309 (tptp.c_Finite__Set_Ofun__left__comm__idem @t125 @t39 @t313)))) % 6.62/6.86 (assume @p125 (forall @t54 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t52 @t46))) % 6.62/6.86 (assume @p126 (forall (@list @t17 @t279 @t18 @t315) (= (= @t317 @t280) (and @t316 @t19)))) % 6.62/6.86 (assume @p127 (forall (@list @t318 @t320 @t282 @t283) (= (= @t284 @t322) (and @t321 @t319)))) % 6.62/6.86 (assume @p128 (forall @t14 (= (tptp.c_HOL_OThe @t8 @t325) @t13))) % 6.62/6.86 (assume @p129 (forall @t327 (=> @t88 (=> (tptp.c_Nitpick_Ofold__graph_H @t8 @t39 @t2 @t142 @t239 @t109) (tptp.c_Nitpick_Ofold__graph_H @t8 @t39 @t2 @t142 @t45 @t326))))) % 6.62/6.86 (assume @p130 (forall @t329 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t39 @t2 @t142 @t239) @t109)) (=> @t88 (tptp.hBOOL (tptp.hAPP @t328 @t326)))))) % 6.62/6.86 (assume @p131 (forall @t332 (= (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t48) (and @t331 (not (tptp.hBOOL (tptp.hAPP @t330 (tptp.hAPP @t92 @t269)))))))) % 6.62/6.86 (assume @p132 (forall @t178 (=> @t177 (=> @t50 (=> @t136 (= @t175 (tptp.hAPP (tptp.hAPP @t333 @t60) @t45))))))) % 6.62/6.86 (assume @p133 (forall @t258 (=> @t50 (= @t335 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t52 @t295) @t74) @t45))))) % 6.62/6.86 (assume @p134 (forall @t349 (= @t348 (tptp.c_HOL_OThe @t8 @t346)))) % 6.62/6.86 (assume @p135 (forall @t356 (= @t355 (and (=> @t88 @t354) @t353)))) % 6.62/6.86 (assume @p136 (forall @t356 (=> @t354 (=> @t88 @t355)))) % 6.62/6.86 (assume @p137 (forall @t365 (=> @t364 (=> @t50 (and @t363 (=> @t128 (= @t360 @t359))))))) % 6.62/6.86 (assume @p138 (forall @t365 (=> (tptp.class_Rings_Oring @t39) (=> @t50 @t363)))) % 6.62/6.86 (assume @p139 (forall @t370 (and @t369 @t367))) % 6.62/6.86 (assume @p140 (forall @t376 (=> @t375 (tptp.hBOOL (tptp.hAPP @t374 @t371))))) % 6.62/6.86 (assume @p141 (forall @t258 (=> @t352 (=> @t378 @t106)))) % 6.62/6.86 (assume @p142 (forall @t379 (=> @t352 @t253))) % 6.62/6.86 (assume @p143 (forall @t118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t53) @t45)))) % 6.62/6.86 (assume @p144 (forall @t380 (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t53))) % 6.62/6.86 (assume @p145 (forall @t386 (=> @t385 (=> (not @t384) @t383)))) % 6.62/6.86 (assume @p146 (forall (@list @t60 @t1 @t2 @t8 @t39) (=> @t391 (=> @t390 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t64) @t228)))))) % 6.62/6.86 (assume @p147 (forall @t397 (=> @t396 (=> @t383 (=> @t395 @t394))))) % 6.62/6.86 (assume @p148 (forall @t399 (=> @t396 (=> @t383 (=> @t384 @t398))))) % 6.62/6.86 (assume @p149 (forall @t402 (=> @t375 (=> @t384 (=> @t401 @t400))))) % 6.62/6.86 (assume @p150 (forall @t386 (=> @t396 (=> @t384 (=> @t383 @t398))))) % 6.62/6.86 (assume @p151 (forall @t411 (=> @t396 (=> @t410 (=> @t408 @t406))))) % 6.62/6.86 (assume @p152 (forall @t416 (=> @t415 (=> @t414 (=> @t408 @t413))))) % 6.62/6.86 (assume @p153 (forall @t416 (=> @t396 (=> @t417 (=> (tptp.hBOOL (tptp.hAPP @t405 @t407)) @t406))))) % 6.62/6.86 (assume @p154 (forall @t416 (=> @t415 (=> @t417 (=> @t418 @t413))))) % 6.62/6.86 (assume @p155 (forall (@list @t60 @t179 @t180 @t8) (=> @t423 (=> @t422 @t420)))) % 6.62/6.86 (assume @p156 (forall @t431 (=> @t430 (=> @t429 @t427)))) % 6.62/6.86 (assume @p157 (forall @t386 (=> @t375 (=> @t398 @t384)))) % 6.62/6.86 (assume @p158 (forall (@list @t179 @t8 @t60 @t180) (=> @t422 (=> @t423 @t420)))) % 6.62/6.86 (assume @p159 (forall @t198 (=> @t430 (= @t112 (and @t426 @t429))))) % 6.62/6.86 (assume @p160 (forall @t386 (=> @t385 (or @t384 @t383)))) % 6.62/6.86 (assume @p161 (forall @t433 (=> @t391 (= @t390 (forall @t7 @t432))))) % 6.62/6.86 (assume @p162 (forall @t445 (=> @t444 (= @t443 (tptp.hAPP (tptp.hAPP @t437 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t125 @t80 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t167 (tptp.tc_fun @t80 @t8) @t125) @t436) @t435)) @t45)) @t74))))) % 6.62/6.86 (assume @p163 (forall @t446 (=> @t106 (not (=> @t352 (not @t378)))))) % 6.62/6.86 (assume @p164 (forall @t450 (=> @t352 (=> @t449 @t448)))) % 6.62/6.86 (assume @p165 (forall @t446 (=> @t106 @t378))) % 6.62/6.86 (assume @p166 (forall @t446 (=> @t106 @t352))) % 6.62/6.86 (assume @p167 (forall @t446 (= @t106 (and @t352 @t378)))) % 6.62/6.86 (assume @p168 (forall @t118 (tptp.hBOOL (tptp.hAPP @t351 @t45)))) % 6.62/6.86 (assume @p169 (forall @t452 (=> @t451 (=> @t352 @t331)))) % 6.62/6.86 (assume @p170 (forall @t159 (= @t331 (forall @t7 (=> @t130 (forall @t458 (=> @t457 (=> (= @t5 @t455) @t454)))))))) % 6.62/6.86 (assume @p171 (forall @t118 (tptp.c_Fun_Oinj__on @t8 @t8 @t251 @t45))) % 6.62/6.86 (assume @p172 (forall @t460 (=> @t331 (=> @t298 (=> @t88 (= @t459 @t60)))))) % 6.62/6.86 (assume @p173 (forall @t461 (=> @t331 (=> @t88 (= (tptp.hAPP @t347 @t64) @t60))))) % 6.62/6.86 (assume @p174 (forall @t159 (=> @t331 (= (tptp.hAPP (tptp.c_Set_Oimage @t39 @t8 @t347) @t93) @t45)))) % 6.62/6.86 (assume @p175 (forall @t159 (=> @t331 (tptp.c_Fun_Oinj__on @t39 @t8 @t347 @t93)))) % 6.62/6.86 (assume @p176 (forall (@list @t74 @t60 @t45 @t2 @t39 @t8) (=> @t331 (=> @t462 (=> @t352 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t348) @t74))))))) % 6.62/6.87 (assume @p177 (forall (@list @t2 @t45 @t74 @t8) (=> @t260 (=> @t378 (= (tptp.hAPP @t464 @t254) (tptp.hAPP @t468 @t465)))))) % 6.62/6.87 (assume @p178 (forall @t478 (=> @t477 (= (tptp.hAPP (tptp.hAPP @t436 @t476) @t45) (tptp.hAPP (tptp.hAPP @t274 @t472) @t470))))) % 6.62/6.87 (assume @p179 (forall (@list @t45 @t142 @t2 @t8 @t39) (= (tptp.hAPP @t479 @t45) (tptp.c_HOL_OThe @t8 (tptp.c_Finite__Set_Ofold__graph @t39 @t8 @t2 @t142 @t45))))) % 6.62/6.87 (assume @p180 (forall @t483 (=> @t50 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t481) @t45)) (=> @t482 (= @t481 @t45)))))) % 6.62/6.87 (assume @p181 (forall @t483 (=> @t50 (=> (tptp.hBOOL (tptp.hAPP @t351 @t481)) @t482)))) % 6.62/6.87 (assume @p182 (forall @t488 (=> @t487 (=> @t448 (=> @t449 @t486))))) % 6.62/6.87 (assume @p183 (forall @t460 (=> @t331 (=> @t490 (=> @t88 (=> @t111 @t112)))))) % 6.62/6.87 (assume @p184 (forall @t460 (=> @t331 (=> @t88 (=> @t111 @t491))))) % 6.62/6.87 (assume @p185 (forall @t460 (=> @t331 (=> @t493 (=> @t88 (=> @t111 @t492)))))) % 6.62/6.87 (assume @p186 (forall @t494 (=> @t331 (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t254)))) % 6.62/6.87 (assume @p187 (forall @t496 (=> @t364 (=> @t50 (=> @t378 (= (tptp.hAPP @t358 @t254) (tptp.hAPP @t362 @t495))))))) % 6.62/6.87 (assume @p188 (forall @t497 (tptp.c_Nitpick_Ofold__graph_H @t8 @t39 @t2 @t142 @t53 @t142))) % 6.62/6.87 (assume @p189 (forall (@list @t192 @t193 @t39 @t8) (tptp.c_Nitpick_Ofold__graph_H @t8 @t39 @t193 @t192 @t53 @t192))) % 6.62/6.87 (assume @p190 (forall (@list @t142 @t2 @t8 @t39) (= (tptp.hAPP @t479 @t81) @t142))) % 6.62/6.87 (assume @p191 (forall (@list @t109 @t45 @t2 @t39 @t8) (=> @t331 (=> @t499 (= (tptp.hAPP @t2 @t459) @t109))))) % 6.62/6.87 (assume @p192 (forall @t500 (=> @t352 (=> @t88 @t113)))) % 6.62/6.87 (assume @p193 (forall @t137 (=> @t88 (=> @t352 @t113)))) % 6.62/6.87 (assume @p194 (forall @t376 (=> (tptp.class_Orderings_Obot @t372) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t501) @t371))))) % 6.62/6.87 (assume @p195 (forall @t118 (= (tptp.hBOOL (tptp.hAPP @t351 @t53)) @t89))) % 6.62/6.87 (assume @p196 (forall @t258 (=> @t352 (=> @t260 @t50)))) % 6.62/6.87 (assume @p197 (forall @t261 (=> @t260 (=> @t352 @t50)))) % 6.62/6.87 (assume @p198 (forall (@list @t13 @t502 @t447 @t8) (=> (tptp.hBOOL (tptp.hAPP @t503 @t502)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP @t47 @t447)) (tptp.hAPP @t47 @t502)))))) % 6.62/6.87 (assume @p199 (forall (@list @t57 @t74 @t45 @t8) (=> @t352 (tptp.hBOOL (tptp.hAPP @t351 @t75))))) % 6.62/6.87 (assume @p200 (forall (@list @t13 @t74 @t8) (tptp.hBOOL (tptp.hAPP @t377 @t139)))) % 6.62/6.87 (assume @p201 (forall @t507 (=> @t352 @t506))) % 6.62/6.87 (assume @p202 (forall @t510 (= @t509 (exists (@list @t508) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t504 @t508) @t45)) (= @t74 (tptp.hAPP @t55 @t508))))))) % 6.62/6.87 (assume @p203 (forall @t450 (=> @t352 (=> @t449 (= (tptp.hAPP @t334 (tptp.hAPP @t511 @t45)) @t45))))) % 6.62/6.87 (assume @p204 (forall (@list @t74 @t502 @t447 @t45 @t8) (=> @t448 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t502) @t74)) (tptp.hBOOL (tptp.hAPP @t512 (tptp.hAPP @t511 @t502))))))) % 6.62/6.87 (assume @p205 (forall @t258 (tptp.hBOOL (tptp.hAPP @t512 @t45)))) % 6.62/6.87 (assume @p206 (forall @t28 (=> @t27 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t513 @t26) @t12)) @t25)))) % 6.62/6.87 (assume @p207 (forall (@list @t24 @t514 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 @t514) (=> (tptp.hBOOL (tptp.hAPP @t515 @t514)) @t25)))) % 6.62/6.87 (assume @p208 (forall (@list @t12 @t24 @t8) (=> (tptp.hBOOL (tptp.hAPP @t515 @t12)) @t25))) % 6.62/6.87 (assume @p209 (forall (@list @t60 @t142 @t2 @t39 @t8) (=> (tptp.hBOOL (tptp.hAPP @t517 @t60)) @t516))) % 6.62/6.87 (assume @p210 (forall @t497 (tptp.hBOOL (tptp.hAPP @t517 @t142)))) % 6.62/6.87 (assume @p211 (forall (@list @t60 @t45 @t142 @t2 @t39 @t8) (=> @t518 @t50))) % 6.62/6.87 (assume @p212 (forall @t205 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t204) @t203)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t200) @t199))))) % 6.62/6.87 (assume @p213 (forall @t159 (=> (tptp.hBOOL (tptp.hAPP @t42 @t56)) (=> @t519 @t234)))) % 6.62/6.87 (assume @p214 (forall @t137 (=> @t136 (= @t355 @t352)))) % 6.62/6.87 (assume @p215 (forall @t137 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t123) @t74)) (and @t113 @t352)))) % 6.62/6.87 (assume @p216 (forall @t520 (=> (tptp.hBOOL (tptp.hAPP @t351 @t164)) (or @t89 (= @t45 @t164))))) % 6.62/6.87 (assume @p217 (forall (@list @t2 @t74 @t39 @t45 @t8) (=> @t50 (=> @t523 @t521)))) % 6.62/6.87 (assume @p218 (forall @t494 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP (tptp.hAPP @t237 @t56) @t160)) (tptp.hAPP @t55 @t524))))) % 6.62/6.87 (assume @p219 (forall @t327 (=> @t136 (=> @t526 (tptp.hBOOL (tptp.hAPP @t525 @t326)))))) % 6.62/6.87 (assume @p220 (forall (@list @t2 @t45 @t13 @t8) (and (=> @t67 (= @t527 (tptp.hAPP @t468 @t161))) (=> @t128 (= @t527 @t466))))) % 6.62/6.87 (assume @p221 (forall @t530 (=> @t244 (=> @t234 (=> (tptp.hBOOL (tptp.hAPP @t522 @t45)) @t529))))) % 6.62/6.87 (assume @p222 (forall (@list @t60 @t109 @t45 @t2 @t39 @t8) (=> @t331 (=> (not @t499) (tptp.c_Fun_Oinj__on @t8 @t39 @t285 @t45))))) % 6.62/6.87 (assume @p223 (forall @t370 @t369)) % 6.62/6.87 (assume @p224 (forall @t370 @t367)) % 6.62/6.87 (assume @p225 (forall @t531 (= (tptp.c_Fun_Ooverride__on @t8 @t39 @t2 @t1 @t53) @t2))) % 6.62/6.87 (assume @p226 (forall @t537 (=> @t309 (=> @t50 @t536)))) % 6.62/6.87 (assume @p227 (forall @t537 (=> @t309 (=> @t50 @t540)))) % 6.62/6.87 (assume @p228 (forall (@list @t13 @t45 @t37 @t2 @t8) (=> @t191 (=> @t50 (= (tptp.hAPP @t37 @t48) (tptp.hAPP (tptp.hAPP @t333 @t13) @t45)))))) % 6.62/6.87 (assume @p229 (forall @t543 (=> @t191 (=> @t50 (=> @t542 (=> @t378 @t529)))))) % 6.62/6.87 (assume @p230 (forall (@list @t544 @t39 @t8 @t45) (=> @t90 (= (exists @t549 (and @t548 (tptp.hBOOL (tptp.hAPP @t547 @t544)))) (exists (@list @t545) (= (tptp.hAPP (tptp.c_Set_Oimage @t39 @t8 @t545) @t544) @t45)))))) % 6.62/6.87 (assume @p231 (forall @t552 (=> @t551 (=> @t50 (=> @t88 (= @t538 @t550)))))) % 6.62/6.87 (assume @p232 (forall (@list @t60 @t45 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t2 @t13 @t45) @t60)) (=> @t128 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t48) @t60)))))) % 6.62/6.87 (assume @p233 (forall @t555 (and (=> @t554 (= @t553 @t57)) (=> (not @t554) (= @t553 (tptp.c_HOL_OThe @t8 (tptp.hAPP @t202 (tptp.hAPP @t238 @t146)))))))) % 6.62/6.87 (assume @p234 (forall @t537 (=> @t551 (=> @t50 (= @t535 @t550))))) % 6.62/6.87 (assume @p235 (forall (@list @t559 @t193 @t192 @t557 @t558 @t39 @t8) (= (tptp.c_Nitpick_Ofold__graph_H @t8 @t39 @t558 @t557 @t192 @t560) (or (and @t561 (= @t560 @t557)) (exists @t210 (and (= @t560 (tptp.hAPP (tptp.hAPP @t558 @t3) @t206)) (tptp.hBOOL (tptp.hAPP @t129 @t192)) (tptp.c_Nitpick_Ofold__graph_H @t8 @t39 @t558 @t557 (tptp.hAPP (tptp.hAPP @t237 @t192) @t556) @t206))))))) % 6.62/6.87 (assume @p236 (forall @t155 (=> @t568 (=> @t567 (= @t565 @t563))))) % 6.62/6.87 (assume @p237 (forall @t552 (=> @t551 (=> @t50 (=> @t136 @t536))))) % 6.62/6.87 (assume @p238 (forall @t552 (=> @t551 (=> @t50 (=> @t136 @t540))))) % 6.62/6.87 (assume @p239 (forall (@list @t180 @t45 @t37 @t8) (=> @t43 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t37) @t45)) (=> @t249 (=> (forall (@list @t287 @t246) (=> @t248 (=> @t569 (=> (not (tptp.hBOOL (tptp.hAPP @t290 @t246))) (=> @t247 (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t288 @t246)))))))) @t245)))))) % 6.62/6.87 (assume @p240 (forall @t576 (=> @t575 (=> @t50 (=> @t88 (= @t574 @t573)))))) % 6.62/6.87 (assume @p241 (forall @t300 (=> @t551 (= (tptp.hAPP @t64 (tptp.hAPP @t489 @t142)) (tptp.hAPP @t489 @t308))))) % 6.62/6.87 (assume @p242 (forall @t411 (=> @t582 (=> (= @t581 @t579) @t408)))) % 6.62/6.87 (assume @p243 (forall @t416 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t372) @t586))) % 6.62/6.87 (assume @p244 (forall @t416 (=> @t582 @t586))) % 6.62/6.87 (assume @p245 (forall (@list @t82 @t13 @t57 @t8) (=> @t592 (= (= @t591 @t589) @t148)))) % 6.62/6.87 (assume @p246 (forall @t596 (=> @t592 (= (= @t595 @t594) @t148)))) % 6.62/6.87 (assume @p247 (forall @t416 (=> (tptp.class_Groups_Oab__semigroup__add @t372) @t600))) % 6.62/6.87 (assume @p248 (forall @t604 (=> @t603 (=> @t602 @t414)))) % 6.62/6.87 (assume @p249 (forall @t607 (=> @t603 (=> @t606 @t414)))) % 6.62/6.87 (assume @p250 (forall @t612 (=> @t611 (=> @t414 (=> @t610 (tptp.hBOOL (tptp.hAPP @t605 @t609))))))) % 6.62/6.87 (assume @p251 (forall @t416 (=> @t611 (=> @t414 @t602)))) % 6.62/6.87 (assume @p252 (forall @t416 (=> @t611 (=> @t414 @t606)))) % 6.62/6.87 (assume @p253 (forall @t615 (=> @t614 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t589) @t613)) @t565)))) % 6.62/6.87 (assume @p254 (forall @t617 (=> @t614 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t594) @t616)) @t565)))) % 6.62/6.87 (assume @p255 (forall @t621 (=> @t620 (= (tptp.hAPP @t619 @t407) @t403)))) % 6.62/6.87 (assume @p256 (forall @t621 (=> @t620 (= (tptp.hAPP (tptp.hAPP @t577 @t623) @t407) @t403)))) % 6.62/6.87 (assume @p257 (forall @t314 (=> @t551 (tptp.c_Finite__Set_Ofun__left__comm @t125 @t39 @t313)))) % 6.62/6.87 (assume @p258 (forall @t478 (=> @t444 (= (tptp.hAPP (tptp.hAPP @t436 @t624) @t45) (tptp.hAPP (tptp.hAPP @t587 @t472) @t470))))) % 6.62/6.87 (assume @p259 (forall @t329 (=> @t551 (=> @t518 (=> @t526 @t119))))) % 6.62/6.87 (assume @p260 (forall (@list @t60 @t2 @t8) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t53) @t60))))) % 6.62/6.87 (assume @p261 (forall (@list @t60 @t45 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP @t625 @t60)) @t90))) % 6.62/6.87 (assume @p262 (forall @t629 (=> @t575 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t357 (tptp.hAPP (tptp.hAPP @t628 (tptp.hAPP (tptp.hAPP @t627 @t571) @t1)) @t38)) @t45) (tptp.hAPP @t626 (tptp.hAPP (tptp.hAPP @t357 @t38) @t45))))))) % 6.62/6.87 (assume @p263 (forall @t155 (=> @t477 (=> @t567 (= @t68 @t630))))) % 6.62/6.87 (assume @p264 (forall @t552 (=> @t551 (=> @t50 (= @t539 @t533))))) % 6.62/6.87 (assume @p265 (forall (@list @t109 @t45 @t142 @t2 @t39 @t8) (=> @t551 (=> @t526 (= @t538 @t109))))) % 6.62/6.87 (assume @p266 (forall (@list @t57 @t13 @t2 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t96) @t57)) @t68))) % 6.62/6.87 (assume @p267 (forall @t576 (=> @t575 (=> @t50 (=> @t136 (= @t631 (tptp.hAPP @t572 @t574))))))) % 6.62/6.87 (assume @p268 (forall (@list @t2 @t13 @t37 @t8 @t39) (=> @t575 (=> @t43 (=> (not (tptp.hBOOL (tptp.hAPP @t66 @t37))) (= (tptp.hAPP @t358 (tptp.hAPP @t47 @t37)) (tptp.hAPP @t632 (tptp.hAPP @t358 @t37)))))))) % 6.62/6.87 (assume @p269 (forall @t633 (=> @t575 (=> @t50 (= @t631 @t573))))) % 6.62/6.87 (assume @p270 (forall (@list @t142 @t45 @t2 @t39 @t8) (=> @t551 (=> @t50 (tptp.hBOOL (tptp.hAPP @t328 @t538)))))) % 6.62/6.87 (assume @p271 (forall @t365 (=> @t575 (=> @t50 (=> @t67 (= @t359 (tptp.hAPP @t632 @t360))))))) % 6.62/6.87 (assume @p272 (forall (@list @t13 @t109 @t45 @t142 @t2 @t39 @t8) (=> @t551 (=> @t526 (=> @t67 (exists (@list @t634) (and (= @t109 (tptp.hAPP @t161 @t634)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t39 @t2 @t142 @t269) @t634))))))))) % 6.62/6.87 (assume @p273 (forall (@list @t558 @t192 @t193 @t2 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t638) @t558)) (exists @t292 (and (= @t638 @t636) (tptp.hBOOL (tptp.hAPP @t635 @t558)) (not @t291)))))) % 6.62/6.87 (assume @p274 (forall (@list @t60 @t215 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t8 @t2 @t639) @t60)) (not (forall @t292 (=> (= @t639 @t636) (=> (tptp.hBOOL (tptp.hAPP @t635 @t60)) @t291))))))) % 6.62/6.87 (assume @p275 (forall (@list @t640 @t45 @t60 @t142 @t2 @t39 @t8) (=> @t551 (=> (tptp.hBOOL (tptp.hAPP @t525 @t640)) (=> @t136 (not (forall @t641 (=> (= @t640 (tptp.hAPP @t64 @t206)) (not (tptp.hBOOL (tptp.hAPP @t328 @t206))))))))))) % 6.62/6.87 (assume @p276 (forall (@list @t13 @t60 @t45 @t57 @t8) (=> @t645 (=> (tptp.hBOOL (tptp.hAPP @t644 @t60)) (=> @t67 (=> @t643 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t642 @t13 (tptp.hAPP @t70 @t269)) @t60)))))))) % 6.62/6.87 (assume @p277 (forall @t652 (=> @t651 (=> @t331 (=> @t650 (=> (forall @t649 (=> @t569 (= (tptp.hAPP @t1 @t287) (tptp.hAPP @t38 (tptp.hAPP @t2 @t287))))) (= (tptp.hAPP @t648 @t74) (tptp.hAPP (tptp.hAPP @t646 @t1) @t45)))))))) % 6.62/6.87 (assume @p278 (forall @t356 (= (tptp.hBOOL (tptp.hAPP @t654 @t134)) (and (=> @t113 @t655) (=> @t135 (and (=> @t88 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t653 @t239) @t74))) @t353)))))) % 6.62/6.87 (assume @p279 (forall @t660 (=> @t659 @t658))) % 6.62/6.87 (assume @p280 (forall @t666 (=> @t665 (=> @t664 (=> @t663 (=> @t225 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t662)) @t661)))))))) % 6.62/6.87 (assume @p281 (forall @t666 (=> @t665 (=> @t664 (=> @t663 (=> @t225 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t667) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t662))))))))) % 6.62/6.87 (assume @p282 (forall @t483 (=> @t50 (=> @t90 (exists @t669 (tptp.hBOOL (tptp.hAPP @t625 @t668))))))) % 6.62/6.87 (assume @p283 (forall @t416 (=> (tptp.class_Groups_Oab__semigroup__mult @t372) (= (tptp.hAPP (tptp.hAPP @t670 @t674) @t404) (tptp.hAPP @t673 @t672))))) % 6.62/6.87 (assume @p284 (forall @t621 (=> @t675 (= (tptp.hAPP @t673 @t674) @t674)))) % 6.62/6.87 (assume @p285 (forall @t376 (=> @t675 (= @t677 @t371)))) % 6.62/6.87 (assume @p286 (forall @t679 (=> @t675 (= @t678 @t403)))) % 6.62/6.87 (assume @p287 (forall @t386 (=> @t385 (=> @t686 (=> @t683 @t682))))) % 6.62/6.87 (assume @p288 (forall @t386 (=> @t375 (=> @t685 (not @t682))))) % 6.62/6.87 (assume @p289 (forall @t397 (=> @t396 (=> @t682 @t689)))) % 6.62/6.87 (assume @p290 (forall @t402 (=> @t375 (=> @t685 @t691)))) % 6.62/6.87 (assume @p291 (forall @t411 (=> @t396 (=> @t695 (=> @t408 @t693))))) % 6.62/6.87 (assume @p292 (forall @t416 (=> @t415 (=> @t698 (=> @t408 @t697))))) % 6.62/6.87 (assume @p293 (forall @t416 (=> @t396 (=> @t417 (=> (tptp.hBOOL (tptp.hAPP @t692 @t407)) @t693))))) % 6.62/6.87 (assume @p294 (forall @t416 (=> @t415 (=> @t417 (=> @t699 @t697))))) % 6.62/6.87 (assume @p295 (forall @t700 (=> @t396 (=> @t695 (not @t698))))) % 6.62/6.87 (assume @p296 (forall @t621 (=> @t375 (=> @t698 (not @t695))))) % 6.62/6.87 (assume @p297 (forall @t386 (=> @t396 (=> @t685 (not (= @t381 @t371)))))) % 6.62/6.87 (assume @p298 (forall @t386 (=> @t396 (=> @t685 @t683)))) % 6.62/6.87 (assume @p299 (forall @t386 (=> @t385 @t701))) % 6.62/6.87 (assume @p300 (forall @t431 (=> @t665 (=> (not @t708) @t706)))) % 6.62/6.87 (assume @p301 (forall @t386 (=> @t385 (or @t685 @t398 @t682)))) % 6.62/6.87 (assume @p302 (forall @t198 (=> @t665 (= @t705 (or @t708 @t112))))) % 6.62/6.87 (assume @p303 (forall @t198 (=> @t665 (= @t493 (or @t704 @t708))))) % 6.62/6.87 (assume @p304 (forall @t376 (=> @t375 (not (tptp.hBOOL (tptp.hAPP @t684 @t371)))))) % 6.62/6.87 (assume @p305 (forall @t450 (=> @t655 @t710))) % 6.62/6.87 (assume @p306 (forall @t433 (=> @t391 (= @t711 (and @t390 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t389 @t1) @t2)))))))) % 6.62/6.87 (assume @p307 (forall @t397 (=> @t396 (=> @t383 @t689)))) % 6.62/6.87 (assume @p308 (forall @t402 (=> @t375 (=> @t384 @t691)))) % 6.62/6.87 (assume @p309 (forall @t397 (=> @t396 (=> @t682 (=> @t395 @t688))))) % 6.62/6.87 (assume @p310 (forall @t402 (=> @t375 (=> @t685 (=> @t401 @t690))))) % 6.62/6.87 (assume @p311 (forall @t700 (=> @t396 (=> @t410 (=> @t712 @t695))))) % 6.62/6.87 (assume @p312 (forall @t621 (=> @t396 (=> @t414 (=> @t712 @t698))))) % 6.62/6.87 (assume @p313 (forall @t386 (=> @t396 (=> @t384 (or @t685 @t398))))) % 6.62/6.87 (assume @p314 (forall @t198 (=> @t665 (=> @t426 @t706)))) % 6.62/6.87 (assume @p315 (forall @t386 (=> @t375 (=> @t685 @t384)))) % 6.62/6.87 (assume @p316 (forall @t399 (=> @t385 (=> @t383 @t686)))) % 6.62/6.87 (assume @p317 (forall @t621 (=> @t396 (=> @t712 (=> @t410 @t695))))) % 6.62/6.87 (assume @p318 (forall @t621 (=> @t396 (=> @t712 (=> @t414 @t698))))) % 6.62/6.87 (assume @p319 (forall @t198 (=> @t665 (=> @t705 @t427)))) % 6.62/6.87 (assume @p320 (forall @t399 (=> @t385 (=> (not @t383) @t685)))) % 6.62/6.87 (assume @p321 (forall @t386 (=> @t385 (=> @t686 @t383)))) % 6.62/6.87 (assume @p322 (forall @t198 (=> @t430 (= @t426 (or @t704 @t112))))) % 6.62/6.87 (assume @p323 (forall @t198 (=> (tptp.class_Orderings_Opreorder @t8) (= @t704 (and @t426 (not @t429)))))) % 6.62/6.87 (assume @p324 (forall @t198 (=> @t430 (= @t704 (and @t426 @t493))))) % 6.62/6.87 (assume @p325 (forall @t386 (=> @t385 (or @t384 @t682)))) % 6.62/6.87 (assume @p326 (forall @t198 (=> @t665 (= (not @t426) @t708)))) % 6.62/6.87 (assume @p327 (forall @t198 (=> @t665 (= @t705 @t429)))) % 6.62/6.87 (assume @p328 (forall @t379 (=> @t655 @t253))) % 6.62/6.87 (assume @p329 (forall @t617 (=> @t614 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t594) @t616)) @t714)))) % 6.62/6.87 (assume @p330 (forall @t615 (=> @t614 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t589) @t613)) @t714)))) % 6.62/6.87 (assume @p331 (forall @t416 (=> @t717 (=> @t698 @t716)))) % 6.62/6.87 (assume @p332 (forall @t416 (=> @t717 (=> @t698 @t718)))) % 6.62/6.87 (assume @p333 (forall @t612 (=> @t717 (=> @t698 @t721)))) % 6.62/6.87 (assume @p334 (forall @t607 (=> @t603 (=> @t716 @t698)))) % 6.62/6.87 (assume @p335 (forall @t604 (=> @t603 (=> @t718 @t698)))) % 6.62/6.87 (assume @p336 (forall @t118 (not (tptp.hBOOL (tptp.hAPP @t654 @t53))))) % 6.62/6.87 (assume @p337 (forall @t155 (=> @t568 (=> @t567 (= @t714 @t723))))) % 6.62/6.87 (assume @p338 (forall @t450 (=> @t352 @t710))) % 6.62/6.87 (assume @p339 (forall @t450 (=> @t655 (=> @t449 @t709)))) % 6.62/6.87 (assume @p340 (forall @t258 (=> @t655 @t352))) % 6.62/6.87 (assume @p341 (forall @t258 (= @t352 (or @t655 @t106)))) % 6.62/6.87 (assume @p342 (forall @t258 (= @t655 (and @t352 (not @t106))))) % 6.62/6.87 (assume @p343 (forall @t54 (=> @t645 (tptp.c_Finite__Set_Ofun__left__comm @t8 @t8 @t642)))) % 6.62/6.87 (assume @p344 (forall @t54 (=> @t724 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t642)))) % 6.62/6.87 (assume @p345 (forall (@list @t45 @t2 @t39 @t725 @t8) (=> @t728 (= (tptp.hAPP @t726 @t472) (tptp.hAPP (tptp.hAPP @t436 (tptp.hAPP (tptp.hAPP @t727 @t726) @t2)) @t45))))) % 6.62/6.87 (assume @p346 (forall @t733 (=> @t728 (= (tptp.hAPP @t732 @t725) (tptp.hAPP (tptp.hAPP @t436 (tptp.hAPP @t731 @t725)) @t45))))) % 6.62/6.87 (assume @p347 (forall (@list @t74 @t1 @t125 @t45 @t2 @t39 @t8) (=> @t728 (= (tptp.hAPP @t732 (tptp.hAPP (tptp.hAPP @t437 @t1) @t74)) (tptp.hAPP (tptp.hAPP @t436 (tptp.hAPP (tptp.hAPP @t442 (tptp.hAPP @t441 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t439 @t439) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t473 (tptp.tc_fun @t439 @t439) @t39) (tptp.c_COMBB @t8 @t8 @t125)) @t729)) @t1))) @t74)) @t45))))) % 6.62/6.87 (assume @p348 (forall @t612 (=> @t717 (=> @t414 @t721)))) % 6.62/6.87 (assume @p349 (forall @t612 (=> @t717 (=> @t698 (=> @t610 @t719))))) % 6.62/6.87 (assume @p350 (forall @t452 (=> @t451 (=> @t655 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t80) @t93) @t484)))))) % 6.62/6.87 (assume @p351 (forall @t165 (=> @t665 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t164) @t60)))) % 6.62/6.87 (assume @p352 (forall @t165 (=> @t665 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t164) @t60)))) % 6.62/6.87 (assume @p353 (forall (@list @t142 @t109 @t45 @t57 @t8) (=> @t645 (=> (tptp.hBOOL (tptp.hAPP @t644 @t109)) (=> @t643 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t8 @t8 @t642 @t142 @t71) (tptp.hAPP @t734 @t109)))))))) % 6.62/6.87 (assume @p354 (forall @t520 (=> @t665 (=> @t50 (=> @t88 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t735) @t60))))))) % 6.62/6.87 (assume @p355 (forall @t520 (=> @t665 (=> @t50 (=> @t88 (tptp.hBOOL (tptp.hAPP @t425 @t736))))))) % 6.62/6.87 (assume @p356 (forall @t118 (=> @t665 (=> @t50 (=> @t90 @t737))))) % 6.62/6.87 (assume @p357 (forall @t118 (=> @t665 (=> @t50 (=> @t90 @t738))))) % 6.62/6.87 (assume @p358 (forall @t747 (=> @t746 (= @t745 (tptp.hBOOL (tptp.hAPP @t722 @t740)))))) % 6.62/6.87 (assume @p359 (forall @t747 (=> @t746 (= @t745 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t748) @t149)))))) % 6.62/6.87 (assume @p360 (forall @t747 (=> @t746 (= @t749 (tptp.hBOOL (tptp.hAPP @t562 @t740)))))) % 6.62/6.87 (assume @p361 (forall @t747 (=> @t746 (= @t749 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t748) @t149)))))) % 6.62/6.87 (assume @p362 (forall @t747 (=> @t751 (= @t750 (= @t82 @t740))))) % 6.62/6.87 (assume @p363 (forall @t747 (=> @t751 (= @t750 (= @t748 @t149))))) % 6.62/6.87 (assume @p364 (forall @t402 (=> @t756 (= (tptp.hAPP @t676 @t755) (tptp.hAPP (tptp.hAPP @t577 @t753) @t752))))) % 6.62/6.87 (assume @p365 (forall @t155 (=> @t760 (= (and @t69 (not @t630)) (not (= (tptp.hAPP (tptp.hAPP @t587 @t759) (tptp.hAPP @t741 @t149)) (tptp.hAPP (tptp.hAPP @t587 @t758) @t757))))))) % 6.62/6.87 (assume @p366 (forall @t416 (=> (tptp.class_Rings_Ocomm__semiring @t372) @t763))) % 6.62/6.87 (assume @p367 (forall @t416 (=> @t756 @t763))) % 6.62/6.87 (assume @p368 (forall @t386 (=> @t764 @t701))) % 6.62/6.87 (assume @p369 (forall @t612 (=> @t756 (= (tptp.hAPP @t598 @t766) (tptp.hAPP @t765 @t609))))) % 6.62/6.87 (assume @p370 (forall @t416 (=> @t756 (= @t599 (tptp.hAPP @t765 @t407))))) % 6.62/6.87 (assume @p371 (forall @t416 (=> @t756 @t600))) % 6.62/6.87 (assume @p372 (forall @t768 (=> @t756 (= @t767 (tptp.hAPP @t765 @t608))))) % 6.62/6.87 (assume @p373 (forall @t768 (=> @t756 (= @t767 (tptp.hAPP @t578 (tptp.hAPP @t583 @t608)))))) % 6.62/6.87 (assume @p374 (forall (@list @t404 @t403 @t372) (=> @t756 (= @t584 @t579)))) % 6.62/6.87 (assume @p375 (forall @t780 (=> @t756 (= @t779 (tptp.hAPP @t775 (tptp.hAPP @t771 @t769)))))) % 6.62/6.87 (assume @p376 (forall @t780 (=> @t756 (= @t779 (tptp.hAPP @t776 (tptp.hAPP @t778 @t769)))))) % 6.62/6.87 (assume @p377 (forall @t780 (=> @t756 (= @t779 (tptp.hAPP @t774 (tptp.hAPP @t771 @t777)))))) % 6.62/6.87 (assume @p378 (forall @t782 (=> @t756 (= @t781 (tptp.hAPP @t775 @t770))))) % 6.62/6.87 (assume @p379 (forall @t782 (=> @t756 (= @t781 (tptp.hAPP @t774 (tptp.hAPP @t771 @t772)))))) % 6.62/6.87 (assume @p380 (forall @t784 (=> @t756 (= @t783 (tptp.hAPP @t775 @t769))))) % 6.62/6.87 (assume @p381 (forall @t784 (=> @t756 (= @t783 (tptp.hAPP @t776 (tptp.hAPP @t774 @t769)))))) % 6.62/6.87 (assume @p382 (forall @t621 (=> @t756 (= @t674 @t785)))) % 6.62/6.87 (assume @p383 (forall (@list @t142 @t60 @t109 @t787 @t8) (=> @t760 (= (= (tptp.hAPP (tptp.hAPP @t587 @t791) @t790) (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP @t789 @t142)) (tptp.hAPP @t788 @t109))) (or (= @t787 @t60) @t786))))) % 6.62/6.87 (assume @p384 (forall (@list @t404 @t407 @t792 @t403 @t372) (=> (tptp.class_Rings_Osemiring @t372) (= (tptp.hAPP (tptp.hAPP @t577 (tptp.hAPP @t673 @t792)) (tptp.hAPP (tptp.hAPP @t577 (tptp.hAPP @t671 @t792)) @t404)) (tptp.hAPP (tptp.hAPP @t577 (tptp.hAPP @t762 @t792)) @t404))))) % 6.62/6.87 (assume @p385 (forall (@list @t407 @t793 @t403 @t372) (=> @t756 (= (tptp.hAPP @t795 (tptp.hAPP @t671 @t793)) (tptp.hAPP @t762 @t793))))) % 6.62/6.87 (assume @p386 (forall @t797 (=> (and @t575 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t39)) (=> @t50 (=> @t90 (=> (forall @t7 (=> @t130 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t796 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t796 @t359) @t574)))))))) % 6.62/6.87 (assume @p387 (forall @t520 (=> @t665 (=> @t50 (=> @t88 (and (=> @t242 @t801) (=> @t243 (= @t735 @t800)))))))) % 6.62/6.87 (assume @p388 (forall @t520 (=> @t665 (=> @t50 (=> @t88 (and (=> @t242 @t805) (=> @t243 (= @t736 @t804)))))))) % 6.62/6.87 (assume @p389 (forall @t51 (=> @t645 (=> @t50 (=> @t128 @t807))))) % 6.62/6.87 (assume @p390 (forall @t520 (=> @t645 (=> @t90 (=> @t50 (=> @t136 @t809)))))) % 6.62/6.87 (assume @p391 (forall @t576 (=> @t816 (=> @t50 (=> @t88 (= @t815 @t814)))))) % 6.62/6.87 (assume @p392 (forall @t520 (=> @t665 (=> @t50 (=> (forall @t641 (=> @t818 (tptp.hBOOL (tptp.hAPP @t425 @t206)))) (=> @t88 @t801)))))) % 6.62/6.87 (assume @p393 (forall @t520 (=> @t665 (=> @t50 (=> (forall @t641 (=> @t818 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t206) @t60)))) (=> @t88 @t805)))))) % 6.62/6.87 (assume @p394 (forall @t825 (=> @t824 (=> @t823 (=> @t822 (= (tptp.hAPP @t819 (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t199)) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t821))))))) % 6.62/6.87 (assume @p395 (forall @t825 (=> @t824 (=> @t823 (=> @t822 (= (tptp.hAPP @t819 (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t199)) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t821))))))) % 6.62/6.87 (assume @p396 (forall @t829 (=> @t102 @t828))) % 6.62/6.87 (assume @p397 (forall @t118 (=> @t568 (tptp.c_Fun_Oinj__on @t8 @t8 @t819 @t45)))) % 6.62/6.87 (assume @p398 (forall @t147 (=> @t832 (= (= @t831 @t830) @t68)))) % 6.62/6.87 (assume @p399 (forall @t147 (=> @t832 (= (= @t831 @t57) (= @t830 @t13))))) % 6.62/6.87 (assume @p400 (forall @t147 (=> @t832 (= @t833 (= @t57 @t831))))) % 6.62/6.87 (assume @p401 (forall @t386 (=> @t841 (= (tptp.hAPP @t834 @t840) (tptp.hAPP (tptp.hAPP @t837 @t836) @t835))))) % 6.62/6.87 (assume @p402 (forall @t386 (=> @t841 (= (tptp.hAPP @t834 @t843) (tptp.hAPP (tptp.hAPP @t838 @t836) @t835))))) % 6.62/6.87 (assume @p403 (forall @t679 (=> @t620 (= (tptp.hAPP @t834 @t844) @t403)))) % 6.62/6.87 (assume @p404 (forall @t402 (=> @t385 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t849) @t846))))) % 6.62/6.87 (assume @p405 (forall @t402 (=> @t385 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t854) @t852))))) % 6.62/6.87 (assume @p406 (forall @t856 (=> @t385 (= (tptp.hAPP (tptp.hAPP @t838 @t851) @t371) (tptp.hAPP (tptp.hAPP @t837 @t855) (tptp.hAPP (tptp.hAPP @t838 @t392) @t371)))))) % 6.62/6.87 (assume @p407 (forall @t856 (=> @t385 (= (tptp.hAPP (tptp.hAPP @t837 @t848) @t371) (tptp.hAPP (tptp.hAPP @t838 @t857) (tptp.hAPP (tptp.hAPP @t837 @t392) @t371)))))) % 6.62/6.87 (assume @p408 (forall @t402 (=> @t385 (= (tptp.hAPP (tptp.hAPP @t838 @t840) @t392) @t858)))) % 6.62/6.87 (assume @p409 (forall @t416 (=> @t385 (= (tptp.hAPP (tptp.hAPP @t838 @t862) @t404) @t861)))) % 6.62/6.87 (assume @p410 (forall @t402 (=> @t385 (= (tptp.hAPP (tptp.hAPP @t837 @t843) @t392) @t863)))) % 6.62/6.87 (assume @p411 (forall @t416 (=> @t385 (= (tptp.hAPP (tptp.hAPP @t837 @t867) @t404) @t866)))) % 6.62/6.87 (assume @p412 (forall @t198 (=> @t870 (= (= @t869 @t868) @t112)))) % 6.62/6.87 (assume @p413 (forall @t402 (=> @t385 (= @t852 @t854)))) % 6.62/6.87 (assume @p414 (forall @t402 (=> @t385 (= @t849 @t846)))) % 6.62/6.87 (assume @p415 (forall @t402 (=> @t385 (= @t858 (tptp.hAPP @t847 @t853))))) % 6.62/6.87 (assume @p416 (forall @t411 (=> @t385 (= (tptp.hAPP @t859 (tptp.hAPP @t860 @t404)) @t861)))) % 6.62/6.87 (assume @p417 (forall @t402 (=> @t385 (= @t863 (tptp.hAPP @t850 @t845))))) % 6.62/6.87 (assume @p418 (forall @t411 (=> @t385 (= (tptp.hAPP @t864 (tptp.hAPP @t865 @t404)) @t866)))) % 6.62/6.87 (assume @p419 (forall @t386 (=> @t385 (= (tptp.hAPP @t839 @t840) @t840)))) % 6.62/6.87 (assume @p420 (forall @t621 (=> @t385 (= (tptp.hAPP @t860 @t862) @t862)))) % 6.62/6.87 (assume @p421 (forall @t386 (=> @t385 (= (tptp.hAPP @t842 @t843) @t843)))) % 6.62/6.87 (assume @p422 (forall @t621 (=> @t385 (= (tptp.hAPP @t865 @t867) @t867)))) % 6.62/6.87 (assume @p423 (forall @t386 (=> @t385 (= (tptp.hAPP @t839 @t843) @t371)))) % 6.62/6.87 (assume @p424 (forall @t386 (=> @t385 (= (tptp.hAPP @t842 @t840) @t371)))) % 6.62/6.87 (assume @p425 (forall @t386 (=> @t385 (= @t840 @t855)))) % 6.62/6.87 (assume @p426 (forall @t621 (=> @t385 (= @t862 (tptp.hAPP @t859 @t403))))) % 6.62/6.87 (assume @p427 (forall @t386 (=> @t385 (= @t843 @t857)))) % 6.62/6.87 (assume @p428 (forall @t621 (=> @t385 (= @t867 (tptp.hAPP @t864 @t403))))) % 6.62/6.87 (assume @p429 (forall @t871 (=> (tptp.class_Groups_Ouminus @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t167) @t45) @t60) (tptp.hAPP @t819 @t114))))) % 6.62/6.87 (assume @p430 (forall @t679 (=> @t385 (= (tptp.hAPP @t860 @t403) @t403)))) % 6.62/6.87 (assume @p431 (forall @t679 (=> @t385 (= (tptp.hAPP @t865 @t403) @t403)))) % 6.62/6.87 (assume @p432 (forall @t376 (=> @t872 (= (tptp.hAPP @t834 @t836) @t371)))) % 6.62/6.87 (assume @p433 (forall @t376 (=> @t385 (= (tptp.hAPP @t839 @t371) @t371)))) % 6.62/6.87 (assume @p434 (forall @t376 (=> @t385 (= (tptp.hAPP @t842 @t371) @t371)))) % 6.62/6.87 (assume @p435 (forall @t878 (=> @t385 (=> @t877 @t875)))) % 6.62/6.87 (assume @p436 (forall @t880 (=> @t385 (=> @t413 (=> @t879 (tptp.hBOOL (tptp.hAPP @t876 (tptp.hAPP (tptp.hAPP @t837 @t404) @t608)))))))) % 6.62/6.87 (assume @p437 (forall @t397 (=> @t385 (=> @t383 (=> @t394 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t851) @t371))))))) % 6.62/6.87 (assume @p438 (forall @t881 (=> @t385 (=> @t874 (=> @t873 @t877))))) % 6.62/6.87 (assume @p439 (forall @t399 (=> @t385 (=> @t383 (= @t843 @t371))))) % 6.62/6.87 (assume @p440 (forall @t386 (=> @t385 (=> @t384 (= @t843 @t381))))) % 6.62/6.87 (assume @p441 (forall @t884 (=> @t385 (=> @t883 @t882)))) % 6.62/6.87 (assume @p442 (forall @t886 (=> @t385 (=> @t885 @t882)))) % 6.62/6.87 (assume @p443 (forall @t891 (=> @t665 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t890) @t142)) @t889)))) % 6.62/6.87 (assume @p444 (forall @t198 (=> @t665 (= @t426 (= @t890 @t109))))) % 6.62/6.87 (assume @p445 (forall @t399 (=> @t385 (tptp.hBOOL (tptp.hAPP @t382 @t843))))) % 6.62/6.87 (assume @p446 (forall @t386 (=> @t385 (tptp.hBOOL (tptp.hAPP @t374 @t843))))) % 6.62/6.87 (assume @p447 (forall @t893 (=> @t665 (= (tptp.hBOOL (tptp.hAPP @t892 @t890)) (or (tptp.hBOOL (tptp.hAPP @t892 @t60)) (tptp.hBOOL (tptp.hAPP @t892 @t109))))))) % 6.62/6.87 (assume @p448 (forall @t386 (=> @t872 (=> @t384 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t835) @t836)))))) % 6.62/6.87 (assume @p449 (forall @t198 (=> @t870 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t869) @t868)) @t429)))) % 6.62/6.87 (assume @p450 (forall @t147 (=> @t568 (= (tptp.hBOOL (tptp.hAPP @t564 @t830)) (tptp.hBOOL (tptp.hAPP @t894 @t831)))))) % 6.62/6.87 (assume @p451 (forall @t147 (=> @t568 (= @t897 (tptp.hBOOL (tptp.hAPP @t895 @t13)))))) % 6.62/6.87 (assume @p452 (forall @t98 (=> @t568 (= (tptp.hBOOL (tptp.hAPP @t895 @t831)) @t565)))) % 6.62/6.87 (assume @p453 (forall @t621 (=> @t899 (=> @t414 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t898) @t844)))))) % 6.62/6.87 (assume @p454 (forall @t886 (=> @t385 (=> @t901 @t900)))) % 6.62/6.87 (assume @p455 (forall @t880 (=> @t385 (=> @t413 (=> @t879 (tptp.hBOOL (tptp.hAPP @t902 (tptp.hAPP (tptp.hAPP @t838 @t404) @t608)))))))) % 6.62/6.87 (assume @p456 (forall @t402 (=> @t385 (=> @t384 (=> @t400 (tptp.hBOOL (tptp.hAPP @t374 @t848))))))) % 6.62/6.87 (assume @p457 (forall @t886 (=> @t385 (=> @t885 (=> @t883 @t901))))) % 6.62/6.87 (assume @p458 (forall @t399 (=> @t385 (=> @t383 (= @t840 @t381))))) % 6.62/6.87 (assume @p459 (forall @t386 (=> @t385 (=> @t384 (= @t840 @t371))))) % 6.62/6.87 (assume @p460 (forall @t904 (=> @t385 (=> @t873 @t903)))) % 6.62/6.87 (assume @p461 (forall @t881 (=> @t385 (=> @t874 @t903)))) % 6.62/6.87 (assume @p462 (forall @t891 (=> @t665 (= (tptp.hBOOL (tptp.hAPP @t425 (tptp.hAPP (tptp.hAPP @t798 @t109) @t142))) @t905)))) % 6.62/6.87 (assume @p463 (forall @t198 (=> @t665 (= @t426 (= @t906 @t60))))) % 6.62/6.87 (assume @p464 (forall @t386 (=> @t385 (tptp.hBOOL (tptp.hAPP @t907 @t381))))) % 6.62/6.87 (assume @p465 (forall @t386 (=> @t385 (tptp.hBOOL (tptp.hAPP @t907 @t371))))) % 6.62/6.87 (assume @p466 (forall @t891 (=> @t665 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t906) @t142)) (or @t888 @t887))))) % 6.62/6.87 (assume @p467 (forall @t884 (=> @t385 (=> @t909 @t908)))) % 6.62/6.87 (assume @p468 (forall @t886 (=> @t385 (=> @t910 @t908)))) % 6.62/6.87 (assume @p469 (forall @t891 (=> @t665 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t890) @t142)) (and @t912 @t911))))) % 6.62/6.87 (assume @p470 (forall @t893 (=> @t665 (= (tptp.hBOOL (tptp.hAPP @t913 @t890)) (or @t915 @t914))))) % 6.62/6.87 (assume @p471 (forall @t98 (=> @t568 (= (tptp.hBOOL (tptp.hAPP @t916 @t831)) @t714)))) % 6.62/6.87 (assume @p472 (forall @t147 (=> @t568 (= @t918 (tptp.hBOOL (tptp.hAPP @t916 @t13)))))) % 6.62/6.87 (assume @p473 (forall @t147 (=> @t568 (= (tptp.hBOOL (tptp.hAPP @t713 @t830)) (tptp.hBOOL (tptp.hAPP @t919 @t831)))))) % 6.62/6.87 (assume @p474 (forall @t904 (=> @t385 (=> @t921 @t920)))) % 6.62/6.87 (assume @p475 (forall @t881 (=> @t385 (=> @t922 @t920)))) % 6.62/6.87 (assume @p476 (forall @t891 (=> @t665 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t906) @t142)) (or @t912 @t911))))) % 6.62/6.87 (assume @p477 (forall @t893 (=> @t665 (= (tptp.hBOOL (tptp.hAPP @t913 @t906)) (and @t915 @t914))))) % 6.62/6.87 (assume @p478 (forall @t402 (=> @t603 (= (tptp.hAPP (tptp.hAPP @t577 @t843) @t392) (tptp.hAPP (tptp.hAPP @t837 @t924) @t755))))) % 6.62/6.87 (assume @p479 (forall @t621 (=> @t927 (= @t926 (tptp.hAPP @t925 @t898))))) % 6.62/6.87 (assume @p480 (forall @t621 (=> @t620 (= @t926 (tptp.hAPP (tptp.hAPP @t577 @t898) @t844))))) % 6.62/6.87 (assume @p481 (forall @t621 (=> @t620 (= (tptp.hAPP @t583 (tptp.hAPP @t925 @t407)) @t407)))) % 6.62/6.87 (assume @p482 (forall @t621 (=> @t620 (= (tptp.hAPP @t925 @t585) @t407)))) % 6.62/6.87 (assume @p483 (forall @t621 (=> @t930 (= @t929 @t928)))) % 6.62/6.87 (assume @p484 (forall @t621 (=> @t930 (= @t929 @t932)))) % 6.62/6.87 (assume @p485 (forall @t621 (=> @t930 (= @t932 @t928)))) % 6.62/6.87 (assume @p486 (forall @t621 (=> @t930 (= (tptp.hAPP @t931 @t898) @t674)))) % 6.62/6.87 (assume @p487 (forall @t147 (=> @t933 (= (= (tptp.hAPP @t743 @t13) (tptp.hAPP @t741 @t57)) (or @t68 @t833))))) % 6.62/6.87 (assume @p488 (forall @t402 (=> @t603 (= (tptp.hAPP (tptp.hAPP @t577 @t840) @t392) (tptp.hAPP (tptp.hAPP @t838 @t924) @t755))))) % 6.62/6.87 (assume @p489 (forall @t829 (=> @t828 @t102))) % 6.62/6.87 (assume @p490 (forall @t829 (= @t828 @t102))) % 6.62/6.87 (assume @p491 (forall @t118 (=> @t665 (=> @t50 (= @t736 @t934))))) % 6.62/6.87 (assume @p492 (forall @t118 (=> @t665 (=> @t50 (= @t735 @t936))))) % 6.62/6.87 (assume @p493 (forall @t402 (=> @t899 (= (tptp.hAPP (tptp.hAPP @t618 @t843) @t392) (tptp.hAPP (tptp.hAPP @t837 @t939) @t937))))) % 6.62/6.87 (assume @p494 (forall @t621 (=> @t927 (= (tptp.hAPP @t834 @t623) @t941)))) % 6.62/6.87 (assume @p495 (forall @t402 (=> @t899 (= (tptp.hAPP (tptp.hAPP @t618 @t840) @t392) (tptp.hAPP (tptp.hAPP @t838 @t939) @t937))))) % 6.62/6.87 (assume @p496 (forall @t258 (=> @t352 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t942) @t827))))) % 6.62/6.87 (assume @p497 (forall @t258 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t827) @t942)) @t378))) % 6.62/6.87 (assume @p498 (forall @t478 (=> @t947 (= (tptp.hAPP (tptp.hAPP @t943 (tptp.hAPP (tptp.hAPP @t475 @t729) @t1)) @t45) (tptp.hAPP (tptp.hAPP @t642 @t946) (tptp.hAPP @t944 @t45)))))) % 6.62/6.87 (assume @p499 (forall @t54 (=> @t665 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t802)))) % 6.62/6.87 (assume @p500 (forall @t54 (=> @t665 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t798)))) % 6.62/6.87 (assume @p501 (forall @t51 (=> @t665 (=> @t50 (=> @t67 (tptp.hBOOL (tptp.hAPP @t948 @t13))))))) % 6.62/6.87 (assume @p502 (forall @t520 (=> @t665 (=> @t50 (=> @t90 (= (tptp.hBOOL (tptp.hAPP @t948 @t60)) (exists @t7 (and @t130 (tptp.hBOOL (tptp.hAPP @t949 @t60)))))))))) % 6.62/6.87 (assume @p503 (forall @t520 (=> @t665 (=> @t50 (=> @t90 (= (tptp.hBOOL (tptp.hAPP @t425 @t936)) @t951)))))) % 6.62/6.87 (assume @p504 (forall @t159 (=> @t477 (= (tptp.hAPP (tptp.hAPP @t436 (tptp.hAPP (tptp.hAPP @t727 @t819) @t2)) @t45) (tptp.hAPP @t819 @t472))))) % 6.62/6.87 (assume @p505 (forall @t520 (=> @t665 (=> @t50 (=> @t90 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t936) @t60)) (exists @t7 (and @t130 (tptp.hBOOL (tptp.hAPP @t952 @t60)))))))))) % 6.62/6.87 (assume @p506 (forall @t520 (=> @t665 (=> @t50 (=> @t90 (= (tptp.hBOOL (tptp.hAPP @t703 @t936)) (forall @t7 (=> @t130 (tptp.hBOOL (tptp.hAPP @t703 @t3)))))))))) % 6.62/6.87 (assume @p507 (forall @t258 (=> @t665 (=> @t90 (=> @t352 (=> @t260 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 (tptp.hAPP @t935 @t74)) @t936)))))))) % 6.62/6.87 (assume @p508 (forall @t621 (=> @t620 @t953))) % 6.62/6.87 (assume @p509 (forall @t621 (=> @t927 @t953))) % 6.62/6.87 (assume @p510 (forall @t621 (=> @t620 (= (tptp.hAPP @t622 @t898) @t585)))) % 6.62/6.87 (assume @p511 (forall @t386 (=> @t955 (= @t954 (tptp.hAPP @t923 @t835))))) % 6.62/6.87 (assume @p512 (forall @t118 (= (tptp.hBOOL (tptp.hAPP @t351 @t827)) @t89))) % 6.62/6.87 (assume @p513 (forall @t629 (=> @t816 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t810 @t957) @t45) (tptp.hAPP @t956 (tptp.hAPP (tptp.hAPP @t810 @t38) @t45))))))) % 6.62/6.87 (assume @p514 (forall (@list @t13 @t2 @t8 @t1) (=> (= @t1 @t958) (= (tptp.hAPP @t1 @t96) @t13)))) % 6.62/6.87 (assume @p515 (forall (@list @t13 @t2 @t8) (= (tptp.hAPP @t958 @t96) @t13))) % 6.62/6.87 (assume @p516 (forall @t211 (=> @t177 @t960))) % 6.62/6.87 (assume @p517 (forall @t965 (=> @t665 (=> @t50 (= (tptp.hAPP @t962 @t48) (tptp.hAPP @t964 @t963)))))) % 6.62/6.87 (assume @p518 (forall @t520 (=> @t665 (=> @t50 (=> @t88 (= @t966 @t736)))))) % 6.62/6.87 (assume @p519 (forall @t965 (=> @t665 (=> @t50 (= (tptp.hAPP @t968 @t48) (tptp.hAPP @t970 @t969)))))) % 6.62/6.87 (assume @p520 (forall @t520 (=> @t665 (=> @t50 (=> @t88 (= @t971 @t735)))))) % 6.62/6.87 (assume @p521 (forall @t972 (= @t959 (tptp.c_HOL_OThe @t8 @t625)))) % 6.62/6.87 (assume @p522 (forall @t576 (=> @t816 (=> @t50 (=> @t136 (= @t973 (tptp.hAPP @t813 @t815))))))) % 6.62/6.87 (assume @p523 (forall @t365 (=> @t816 (=> @t50 (=> @t128 (= (tptp.hAPP @t974 @t48) (tptp.hAPP (tptp.hAPP @t812 @t161) @t975))))))) % 6.62/6.87 (assume @p524 (forall @t976 (=> @t665 (=> @t50 (=> @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 (tptp.hAPP @t964 @t57)) @t963))))))) % 6.62/6.87 (assume @p525 (forall @t976 (=> @t665 (=> @t50 (=> @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t969) (tptp.hAPP @t970 @t57)))))))) % 6.62/6.87 (assume @p526 (forall @t520 (=> @t665 (=> @t50 @t978)))) % 6.62/6.87 (assume @p527 (forall @t520 (=> @t665 (=> @t50 @t980)))) % 6.62/6.87 (assume @p528 (forall @t258 (=> @t665 (=> @t50 (=> @t542 (=> @t378 (= (tptp.hAPP (tptp.hAPP @t802 @t981) @t736) @t736))))))) % 6.62/6.87 (assume @p529 (forall @t258 (=> @t665 (=> @t50 (=> @t542 (=> @t378 (= (tptp.hAPP (tptp.hAPP @t798 @t982) @t735) @t735))))))) % 6.62/6.87 (assume @p530 (forall @t51 (=> @t665 (=> @t50 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t48) @t983))))) % 6.62/6.87 (assume @p531 (forall @t51 (=> @t665 (=> @t50 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t48) @t984))))) % 6.62/6.87 (assume @p532 (forall @t633 (=> @t816 (=> @t50 (= @t973 @t814))))) % 6.62/6.87 (assume @p533 (forall @t520 (=> @t724 (=> @t90 (=> @t50 @t809))))) % 6.62/6.87 (assume @p534 (forall @t51 (=> @t724 (=> @t50 @t807)))) % 6.62/6.87 (assume @p535 (forall @t520 (=> @t665 (=> @t50 (=> @t136 @t978))))) % 6.62/6.87 (assume @p536 (forall @t520 (=> @t665 (=> @t50 (=> @t136 @t980))))) % 6.62/6.87 (assume @p537 (forall @t520 (=> @t665 (=> @t50 (and (=> @t242 (= @t977 @t60)) (=> @t243 (= @t977 @t804))))))) % 6.62/6.87 (assume @p538 (forall @t520 (=> @t665 (=> @t50 (and (=> @t242 (= @t979 @t60)) (=> @t243 (= @t979 @t800))))))) % 6.62/6.87 (assume @p539 (forall @t520 (=> @t665 (=> @t50 (=> @t136 (= @t977 @t985)))))) % 6.62/6.87 (assume @p540 (forall @t520 (=> @t665 (=> @t50 (=> @t136 (= @t979 @t986)))))) % 6.62/6.87 (assume @p541 (forall @t211 (=> (tptp.c_Big__Operators_Osemilattice__big @t8 @t2 @t37) @t960))) % 6.62/6.87 (assume @p542 (forall @t54 (=> @t665 (= (tptp.c_Orderings_Oord_Omin @t8 @t987) @t802)))) % 6.62/6.87 (assume @p543 (forall @t54 (=> @t665 (= (tptp.c_Orderings_Oord_Omax @t8 @t987) @t798)))) % 6.62/6.87 (assume @p544 (forall @t54 (=> @t988 (= @t802 (tptp.c_Orderings_Oord_Omax @t8 @t424))))) % 6.62/6.87 (assume @p545 (forall @t54 (=> @t988 (= @t798 (tptp.c_Orderings_Oord_Omin @t8 @t424))))) % 6.62/6.87 (assume @p546 (forall @t118 (=> @t665 (=> @t50 (=> @t90 (=> @t990 @t738)))))) % 6.62/6.87 (assume @p547 (forall @t118 (=> @t665 (=> @t50 (=> @t90 (=> @t992 @t737)))))) % 6.62/6.87 (assume @p548 (forall @t118 (=> @t645 (=> @t50 (=> @t90 (=> (forall @t210 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t993) @t208))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t808) @t45)))))))) % 6.62/6.87 (assume @p549 (forall @t520 (=> @t665 (=> @t50 (=> @t88 (and (=> @t242 (= @t995 @t60)) (=> @t243 (= @t995 @t994)))))))) % 6.62/6.87 (assume @p550 (forall @t520 (=> @t665 (=> @t50 (=> @t88 (and (=> @t242 (= @t997 @t60)) (=> @t243 (= @t997 @t996)))))))) % 6.62/6.87 (assume @p551 (forall @t258 (= (= @t827 @t942) @t106))) % 6.62/6.87 (assume @p552 (forall @t118 (= (tptp.hAPP @t826 @t827) @t45))) % 6.62/6.87 (assume @p553 (forall @t118 (=> @t665 (=> @t50 (=> @t90 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t997) @t995))))))) % 6.62/6.87 (assume @p554 (forall @t520 (=> @t665 (=> @t50 (=> @t88 (= @t998 @t997)))))) % 6.62/6.87 (assume @p555 (forall @t520 (=> @t665 (=> @t50 (=> @t88 (= @t999 @t995)))))) % 6.62/6.87 (assume @p556 (forall @t165 (=> @t665 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 @t164) @t60)))) % 6.62/6.87 (assume @p557 (forall @t165 (=> @t665 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 @t164) @t60)))) % 6.62/6.87 (assume @p558 (forall @t118 (=> @t665 (=> @t50 (= @t997 @t936))))) % 6.62/6.87 (assume @p559 (forall @t118 (=> @t665 (=> @t50 (= @t995 @t934))))) % 6.62/6.87 (assume @p560 (forall @t520 (=> @t665 (=> @t50 @t1001)))) % 6.62/6.87 (assume @p561 (forall @t520 (=> @t665 (=> @t50 @t1003)))) % 6.62/6.87 (assume @p562 (forall @t258 (=> @t665 (=> @t50 (=> @t542 (=> @t378 (= (tptp.hAPP (tptp.hAPP @t798 @t1004) @t997) @t997))))))) % 6.62/6.87 (assume @p563 (forall @t258 (=> @t665 (=> @t50 (=> @t542 (=> @t378 (= (tptp.hAPP (tptp.hAPP @t802 @t1005) @t995) @t995))))))) % 6.62/6.87 (assume @p564 (forall @t51 (=> @t665 (=> @t50 (=> @t67 (= (tptp.hAPP @t970 @t995) @t13)))))) % 6.62/6.87 (assume @p565 (forall @t51 (=> @t665 (=> @t50 (=> @t67 (= (tptp.hAPP @t964 @t997) @t13)))))) % 6.62/6.87 (assume @p566 (forall @t51 (=> @t665 (=> @t50 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 @t48) @t984))))) % 6.62/6.87 (assume @p567 (forall @t51 (=> @t665 (=> @t50 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 @t48) @t983))))) % 6.62/6.87 (assume @p568 (forall @t520 (=> @t665 (=> @t50 (=> @t136 @t1001))))) % 6.62/6.87 (assume @p569 (forall @t520 (=> @t665 (=> @t50 (=> @t136 @t1003))))) % 6.62/6.87 (assume @p570 (forall @t520 (=> @t665 (=> @t50 (and (=> @t242 (= @t1000 @t60)) (=> @t243 (= @t1000 @t996))))))) % 6.62/6.87 (assume @p571 (forall @t520 (=> @t665 (=> @t50 (and (=> @t242 (= @t1002 @t60)) (=> @t243 (= @t1002 @t994))))))) % 6.62/6.87 (assume @p572 (forall @t520 (=> @t665 (=> @t50 (=> @t136 (= @t1000 @t986)))))) % 6.62/6.87 (assume @p573 (forall @t520 (=> @t665 (=> @t50 (=> @t136 (= @t1002 @t985)))))) % 6.62/6.87 (assume @p574 (forall @t118 (=> @t665 (=> @t50 (=> @t90 (=> @t990 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t995) @t45)))))))) % 6.62/6.87 (assume @p575 (forall @t118 (=> @t665 (=> @t50 (=> @t90 (=> @t992 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t997) @t45)))))))) % 6.62/6.87 (assume @p576 (forall @t1007 (=> @t665 (=> @t1006 (=> @t225 (=> @t224 (= (tptp.hAPP @t38 (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 @t221)) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 @t223)))))))) % 6.62/6.87 (assume @p577 (forall @t1007 (=> @t665 (=> @t1008 (=> @t225 (=> @t224 (= (tptp.hAPP @t38 (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 @t221)) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 @t223)))))))) % 6.62/6.87 (assume @p578 (forall @t1007 (=> @t665 (=> @t1006 (=> @t225 (=> @t224 (= (tptp.hAPP @t38 @t661) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t223)))))))) % 6.62/6.87 (assume @p579 (forall @t1007 (=> @t665 (=> @t1008 (=> @t225 (=> @t224 (= (tptp.hAPP @t38 @t667) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t223)))))))) % 6.62/6.87 (assume @p580 (forall @t1007 (=> @t724 (=> (forall @t210 (= (tptp.hAPP @t38 @t993) (tptp.hAPP (tptp.hAPP @t642 @t227) @t226))) (=> @t225 (=> @t224 (= (tptp.hAPP @t38 (tptp.hAPP @t806 @t221)) (tptp.hAPP @t806 @t223)))))))) % 6.62/6.87 (assume @p581 (forall @t1010 (=> @t665 (=> @t50 (=> @t1009 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 (tptp.hAPP (tptp.hAPP @t961 @t82) @t45)) (tptp.hAPP (tptp.hAPP @t802 @t57) @t82)))))))) % 6.62/6.87 (assume @p582 (forall @t1010 (=> @t665 (=> @t50 (=> @t1012 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 (tptp.hAPP @t1011 @t82)) (tptp.hAPP (tptp.hAPP @t967 @t82) @t45)))))))) % 6.62/6.87 (assume @p583 (forall (@list @t109 @t60 @t45 @t8) (=> @t50 (=> @t88 (=> @t111 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 (tptp.hAPP @t1013 (tptp.hAPP (tptp.hAPP @t237 @t239) @t1015))) @t1014))))))) % 6.62/6.87 (assume @p584 (forall @t520 (=> @t50 (=> @t88 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1017) @t1014)))))) % 6.62/6.87 (assume @p585 (forall @t159 (=> @t1022 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t504 @t1020) @t1019))))) % 6.62/6.87 (assume @p586 (forall (@list @t142 @t1 @t13 @t45 @t8 @t39) (=> @t1027 (=> @t50 (=> @t128 (= (tptp.hAPP @t1025 @t48) (tptp.hAPP (tptp.hAPP @t812 @t368) @t1026))))))) % 6.62/6.87 (assume @p587 (forall (@list @t1 @t2 @t1028 @t8 @t39) (=> @t1035 (=> (forall @t1033 (=> (tptp.hBOOL (tptp.hAPP @t1032 @t1028)) (tptp.hBOOL (tptp.hAPP @t1031 (tptp.hAPP @t1 @t1029))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 (tptp.hAPP @t358 @t1028)) (tptp.hAPP @t570 @t1028))))))) % 6.62/6.87 (assume @p588 (forall @t258 (=> @t665 (=> @t50 (=> @t90 (=> @t260 (=> @t542 @t1041))))))) % 6.62/6.87 (assume @p589 (forall @t258 (=> @t665 (=> @t50 (=> @t90 (=> @t260 (=> @t542 @t1044))))))) % 6.62/6.87 (assume @p590 (forall @t258 (=> @t665 (=> @t50 (=> @t90 (=> @t260 (=> @t542 @t1047))))))) % 6.62/6.87 (assume @p591 (forall @t258 (=> @t665 (=> @t50 (=> @t90 (=> @t260 (=> @t542 @t1050))))))) % 6.62/6.87 (assume @p592 (forall @t165 (tptp.hBOOL (tptp.hAPP @t1021 @t60)))) % 6.62/6.87 (assume @p593 (forall @t500 (=> @t1052 (=> (not @t115) @t1051)))) % 6.62/6.87 (assume @p594 (forall (@list @t8 @t45 @t60 @t74) (=> (=> @t1053 @t115) @t1052))) % 6.62/6.87 (assume @p595 (forall @t165 (tptp.hBOOL (tptp.hAPP @t87 @t1021)))) % 6.62/6.87 (assume @p596 (forall @t256 (=> @t1054 @t103))) % 6.62/6.87 (assume @p597 (forall @t1055 (=> (=> @t104 @t101) @t1054))) % 6.62/6.87 (assume @p598 (forall @t54 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t1057) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t1057 tptp.tc_HOL_Obool)))) @t1056))) % 6.62/6.87 (assume @p599 (forall @t1064 (= (tptp.hBOOL (tptp.hAPP @t1063 @t1062)) (and @t1056 @t1059)))) % 6.62/6.87 (assume @p600 (forall @t1064 (=> @t1056 (=> @t1059 (tptp.hBOOL (tptp.hAPP @t1068 @t1067)))))) % 6.62/6.87 (assume @p601 (forall @t376 (=> @t1072 @t1071))) % 6.62/6.87 (assume @p602 (forall @t1073 (= (tptp.hAPP (tptp.hAPP @t1037 @t1021) @t74) @t1021))) % 6.62/6.87 (assume @p603 (forall @t118 (= (tptp.hAPP @t1038 @t1021) @t1021))) % 6.62/6.87 (assume @p604 (forall @t118 (= (tptp.hAPP @t1038 @t45) @t45))) % 6.62/6.87 (assume @p605 (forall @t258 (= @t1039 @t1075))) % 6.62/6.87 (assume @p606 (forall @t258 (= (tptp.hAPP @t1038 @t1039) @t1039))) % 6.62/6.87 (assume @p607 (forall @t450 (= @t1078 (tptp.hAPP @t1074 @t1076)))) % 6.62/6.87 (assume @p608 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t1037 @t1039) @t447) @t1078))) % 6.62/6.87 (assume @p609 (forall @t1083 (= (exists @t7 (and @t1082 @t1080)) (or (exists @t7 (and @t130 @t1080)) (exists @t7 (and @t1081 @t1080)))))) % 6.62/6.87 (assume @p610 (forall @t1083 (= (forall @t7 (=> @t1082 @t1080)) (and (forall @t7 (=> @t130 @t1080)) (forall @t7 (=> @t1081 @t1080)))))) % 6.62/6.87 (assume @p611 (forall @t168 (=> (tptp.class_Orderings_Otop @t8) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t167) @t60) @t1084)))) % 6.62/6.87 (assume @p612 (forall (@list @t74 @t8 @t60 @t45) (=> @t115 @t1052))) % 6.62/6.87 (assume @p613 (forall (@list @t45 @t8 @t60 @t74) (=> @t1051 @t1052))) % 6.62/6.87 (assume @p614 (forall @t376 (=> @t1086 (= (tptp.hAPP (tptp.hAPP @t1069 @t1085) @t371) @t1085)))) % 6.62/6.87 (assume @p615 (forall @t376 (=> @t1086 (= (tptp.hAPP @t1070 @t1085) @t1085)))) % 6.62/6.87 (assume @p616 (forall @t679 (=> @t1088 (= (tptp.hAPP @t1087 @t403) @t403)))) % 6.62/6.87 (assume @p617 (forall @t376 (=> @t1088 @t1071))) % 6.62/6.87 (assume @p618 (forall @t1091 (=> @t1090 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t167) @t2) @t1) @t60) (tptp.hAPP (tptp.hAPP @t1089 @t64) @t228))))) % 6.62/6.87 (assume @p619 (forall @t621 (=> @t1088 (= @t1093 (tptp.hAPP @t1092 @t403))))) % 6.62/6.87 (assume @p620 (forall @t386 (=> @t1072 @t1097))) % 6.62/6.87 (assume @p621 (forall @t386 (=> @t1088 @t1097))) % 6.62/6.87 (assume @p622 (forall @t621 (=> @t1088 (= (tptp.hAPP @t1087 @t1093) @t1093)))) % 6.62/6.87 (assume @p623 (forall @t386 (=> @t1072 @t1098))) % 6.62/6.87 (assume @p624 (forall @t386 (=> @t1088 @t1098))) % 6.62/6.87 (assume @p625 (forall @t411 (=> @t1088 (= (tptp.hAPP @t1092 (tptp.hAPP @t1087 @t404)) @t1099)))) % 6.62/6.87 (assume @p626 (forall @t402 (=> @t1072 @t1103))) % 6.62/6.87 (assume @p627 (forall @t402 (=> @t1088 @t1103))) % 6.62/6.87 (assume @p628 (forall @t416 (=> @t1088 (= (tptp.hAPP (tptp.hAPP @t1069 @t1093) @t404) @t1099)))) % 6.62/6.87 (assume @p629 (forall @t402 (=> @t1072 @t1104))) % 6.62/6.87 (assume @p630 (forall @t402 (=> @t1088 @t1104))) % 6.62/6.87 (assume @p631 (forall @t1064 (=> @t1106 @t1059))) % 6.62/6.87 (assume @p632 (forall @t118 (=> @t1056 (=> (= @t1014 @t1107) (= @t45 @t1021))))) % 6.62/6.87 (assume @p633 (forall @t118 (= (tptp.hAPP @t1038 @t827) @t1021))) % 6.62/6.87 (assume @p634 (forall @t118 (= (tptp.hAPP @t1108 @t45) @t1021))) % 6.62/6.87 (assume @p635 (forall @t376 (=> @t872 (= (tptp.hAPP @t1070 @t836) @t1085)))) % 6.62/6.87 (assume @p636 (forall @t376 (=> @t872 (= (tptp.hAPP @t1109 @t371) @t1085)))) % 6.62/6.87 (assume @p637 (forall @t386 (=> @t1072 @t1110))) % 6.62/6.87 (assume @p638 (forall @t386 (=> @t1088 @t1110))) % 6.62/6.87 (assume @p639 (forall @t399 (=> @t1072 @t1111))) % 6.62/6.87 (assume @p640 (forall @t399 (=> @t1088 @t1111))) % 6.62/6.87 (assume @p641 (forall @t198 (=> @t1114 (= @t426 (= @t1113 @t109))))) % 6.62/6.87 (assume @p642 (forall @t891 (=> @t1114 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t1113) @t142)) @t889)))) % 6.62/6.87 (assume @p643 (forall @t886 (=> @t1088 (=> @t885 @t1115)))) % 6.62/6.87 (assume @p644 (forall @t884 (=> @t1088 (=> @t883 @t1115)))) % 6.62/6.87 (assume @p645 (forall @t386 (=> @t1088 (=> @t384 (= @t1096 @t381))))) % 6.62/6.87 (assume @p646 (forall @t399 (=> @t1088 (=> @t383 (= @t1096 @t371))))) % 6.62/6.87 (assume @p647 (forall @t881 (=> @t1088 (=> @t874 (=> @t873 @t1117))))) % 6.62/6.87 (assume @p648 (forall @t397 (=> @t1088 (=> @t383 (=> @t394 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t1101) @t371))))))) % 6.62/6.87 (assume @p649 (forall @t880 (=> @t1088 (=> @t413 (=> @t879 (tptp.hBOOL (tptp.hAPP @t1116 (tptp.hAPP (tptp.hAPP @t1069 @t404) @t608)))))))) % 6.62/6.87 (assume @p650 (forall @t878 (=> @t1088 (=> @t1117 @t875)))) % 6.62/6.87 (assume @p651 (forall @t886 (=> @t1088 (=> @t910 @t1118)))) % 6.62/6.87 (assume @p652 (forall @t884 (=> @t1088 (=> @t909 @t1118)))) % 6.62/6.87 (assume @p653 (forall @t376 (=> @t1119 (= (tptp.hAPP (tptp.hAPP @t1069 @t501) @t371) @t371)))) % 6.62/6.87 (assume @p654 (forall @t376 (=> @t1119 (= (tptp.hAPP @t1070 @t501) @t371)))) % 6.62/6.87 (assume @p655 (forall @t198 (=> (tptp.class_Lattices_Obounded__lattice__bot @t8) (= (= @t1113 @t166) (and (= @t60 @t166) (= @t109 @t166)))))) % 6.62/6.87 (assume @p656 (forall @t256 (= @t1054 (or @t101 @t100)))) % 6.62/6.87 (assume @p657 (forall @t256 (=> @t101 @t1054))) % 6.62/6.87 (assume @p658 (forall @t1055 (=> @t100 @t1054))) % 6.62/6.87 (assume @p659 (forall @t54 (=> (and @t1114 @t665) (= @t1089 @t802)))) % 6.62/6.87 (assume @p660 (forall @t1073 (= (tptp.hAPP (tptp.hAPP @t1037 @t53) @t74) @t74))) % 6.62/6.87 (assume @p661 (forall @t118 (= (tptp.hAPP @t1038 @t53) @t45))) % 6.62/6.87 (assume @p662 (forall @t258 (= (= @t1039 @t53) (and @t89 @t541)))) % 6.62/6.87 (assume @p663 (forall @t1122 (= @t1121 (and @t43 @t1120)))) % 6.62/6.87 (assume @p664 (forall @t1122 (=> @t43 (=> @t1120 @t1121)))) % 6.62/6.87 (assume @p665 (forall @t272 (= (tptp.hAPP @t1038 @t139) (tptp.hAPP @t47 @t1039)))) % 6.62/6.87 (assume @p666 (forall (@list @t447 @t74 @t13 @t8) (= (tptp.hAPP (tptp.hAPP @t1037 @t139) @t447) (tptp.hAPP @t47 @t1077)))) % 6.62/6.87 (assume @p667 (forall @t258 (tptp.hBOOL (tptp.hAPP @t351 @t1039)))) % 6.62/6.87 (assume @p668 (forall @t261 (tptp.hBOOL (tptp.hAPP @t377 @t1039)))) % 6.62/6.87 (assume @p669 (forall @t258 (= @t352 @t1123))) % 6.62/6.87 (assume @p670 (forall @t258 (=> @t352 @t1123))) % 6.62/6.87 (assume @p671 (forall @t261 (=> @t378 (= @t1039 @t45)))) % 6.62/6.87 (assume @p672 (forall @t1125 (=> @t448 (=> @t449 (tptp.hBOOL (tptp.hAPP @t1124 @t447)))))) % 6.62/6.87 (assume @p673 (forall @t1128 (=> @t448 (=> @t1127 (tptp.hBOOL (tptp.hAPP @t1124 (tptp.hAPP @t1126 @t502))))))) % 6.62/6.87 (assume @p674 (forall @t1132 (= (tptp.hAPP @t55 @t1131) (tptp.hAPP (tptp.hAPP @t1037 @t56) @t160)))) % 6.62/6.87 (assume @p675 (forall @t258 (= @t1133 @t1039))) % 6.62/6.87 (assume @p676 (forall @t261 (= (tptp.hAPP (tptp.hAPP @t1037 @t335) @t45) @t1075))) % 6.62/6.87 (assume @p677 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t237 @t1039) @t447) (tptp.hAPP (tptp.hAPP @t1037 @t1135) @t1134)))) % 6.62/6.87 (assume @p678 (forall @t54 (not (= @t1021 @t53)))) % 6.62/6.87 (assume @p679 (forall @t54 (=> @t117 @t1056))) % 6.62/6.87 (assume @p680 (forall @t118 (tptp.hBOOL (tptp.hAPP @t351 @t1021)))) % 6.62/6.87 (assume @p681 (forall @t299 (=> @t1022 @t491))) % 6.62/6.87 (assume @p682 (forall @t299 (=> @t1022 (=> @t490 @t112)))) % 6.62/6.87 (assume @p683 (forall (@list @t142 @t1 @t2 @t39 @t8) (= (tptp.hAPP @t1137 @t81) @t142))) % 6.62/6.87 (assume @p684 (forall @t54 (=> @t1114 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t1089)))) % 6.62/6.87 (assume @p685 (forall @t1138 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1037 @t204) @t203) @t60)) (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP (tptp.hAPP @t1037 @t200) @t199)))))) % 6.62/6.87 (assume @p686 (forall (@list @t1 @t2 @t125 @t8 @t39) (= (tptp.hAPP (tptp.c_Set_Oimage @t39 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t125 @t8 @t39) @t2) @t1)) @t1058) (tptp.hAPP @t1140 (tptp.hAPP @t1139 @t1058))))) % 6.62/6.87 (assume @p687 (forall (@list @t125 @t2 @t39 @t8) (=> @t1022 (tptp.c_Fun_Oinj__on @t8 @t1141 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t39 @t1141 @t8) (tptp.c_COMBK @t39 @t125)) @t2) @t1021)))) % 6.62/6.87 (assume @p688 (forall @t376 (=> (tptp.class_Orderings_Otop @t372) (tptp.hBOOL (tptp.hAPP @t374 @t1085))))) % 6.62/6.87 (assume @p689 (forall @t531 (= @t1136 (tptp.c_Finite__Set_Ofold @t39 @t8 @t1142)))) % 6.62/6.87 (assume @p690 (forall @t520 (=> @t50 (tptp.hBOOL (tptp.hAPP @t1145 @t1143))))) % 6.62/6.87 (assume @p691 (forall @t261 (=> @t260 (=> @t352 (tptp.hBOOL (tptp.hAPP @t1145 @t1146)))))) % 6.62/6.87 (assume @p692 (forall @t261 (=> @t260 (=> @t352 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1146) @t1014)) @t106))))) % 6.62/6.87 (assume @p693 (forall @t1149 (=> @t50 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1148) @t1014))))) % 6.62/6.87 (assume @p694 (forall @t159 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 (tptp.hAPP @t1013 @t56)) @t1150)) (not @t519)))) % 6.62/6.87 (assume @p695 (forall @t159 (=> @t331 @t1151))) % 6.62/6.87 (assume @p696 (forall @t133 (= @t48 (tptp.hAPP (tptp.hAPP @t1037 @t96) @t45)))) % 6.62/6.87 (assume @p697 (forall @t450 (= (tptp.hBOOL (tptp.hAPP @t512 @t447)) (tptp.hBOOL (tptp.hAPP @t351 @t1077))))) % 6.62/6.87 (assume @p698 (forall @t258 (=> @t352 (= @t1133 @t74)))) % 6.62/6.87 (assume @p699 (forall @t261 (=> @t260 (=> @t655 @t1152)))) % 6.62/6.87 (assume @p700 (forall @t494 (=> @t1154 @t1153))) % 6.62/6.87 (assume @p701 (forall (@list @t39 @t60 @t2 @t8) (tptp.hBOOL (tptp.hAPP @t1156 @t1155)))) % 6.62/6.87 (assume @p702 (forall (@list @t39 @t8 @t60 @t2 @t57) (=> @t65 (tptp.hBOOL (tptp.hAPP @t59 @t1155))))) % 6.62/6.87 (assume @p703 (forall @t1149 (=> @t50 (= @t93 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t80 @t8 @t1129) (tptp.hAPP (tptp.hAPP @t1158 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t39 @t1157 @t8) @t83) @t2)) @t81)) @t81) @t45))))) % 6.62/6.87 (assume @p704 (forall @t118 (= (tptp.hAPP @t238 @t1021) @t53))) % 6.62/6.87 (assume @p705 (forall @t258 (= (tptp.hAPP @t826 @t254) (tptp.hAPP @t1108 @t74)))) % 6.62/6.87 (assume @p706 (forall @t494 (=> @t1022 @t1153))) % 6.62/6.87 (assume @p707 (forall @t54 (= (tptp.hAPP @t826 @t53) @t1021))) % 6.62/6.87 (assume @p708 (forall @t54 (= (tptp.hAPP @t826 @t1021) @t53))) % 6.62/6.87 (assume @p709 (forall @t118 (=> @t50 (= (tptp.hBOOL (tptp.hAPP @t42 @t827)) @t1056)))) % 6.62/6.87 (assume @p710 (forall @t118 (= @t827 (tptp.hAPP (tptp.hAPP @t237 @t1021) @t45)))) % 6.62/6.87 (assume @p711 (forall @t54 (tptp.c_Fun_Oinj__on @t8 @t52 @t214 @t1021))) % 6.62/6.87 (assume @p712 (forall (@list @t2 @t125 @t1 @t39 @t8) (=> (tptp.hBOOL (tptp.hAPP @t42 (tptp.hAPP @t1159 @t1058))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t125) (tptp.hAPP (tptp.c_Set_Oimage @t39 @t125 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t125 @t39) @t2) @t1)) @t1058)))))) % 6.62/6.87 (assume @p713 (forall @t297 (=> @t1022 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t8 @t39 @t1021 @t2) @t64) @t60)))) % 6.62/6.87 (assume @p714 (forall @t530 (=> @t244 (=> @t234 (=> @t521 @t1162))))) % 6.62/6.87 (assume @p715 (forall (@list @t45 @t37 @t1 @t142 @t2 @t39 @t8) (=> @t235 (=> @t234 (= @t173 @t1163))))) % 6.62/6.87 (assume @p716 (forall @t1149 (=> @t50 (= @t331 @t1151)))) % 6.62/6.87 (assume @p717 (forall @t1149 (=> @t50 (=> @t1151 @t331)))) % 6.62/6.87 (assume @p718 (forall @t261 (=> @t260 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1166) @t1164))))) % 6.62/6.87 (assume @p719 (forall @t965 (=> @t1114 (=> @t50 (= (tptp.hAPP @t1168 @t48) (tptp.hAPP @t1170 @t1169)))))) % 6.62/6.87 (assume @p720 (forall @t261 (=> @t260 (=> @t352 (=> @t1152 @t655))))) % 6.62/6.87 (assume @p721 (forall @t1171 (=> @t872 (= (tptp.hAPP @t834 @t1085) @t501)))) % 6.62/6.87 (assume @p722 (forall @t1171 (=> @t872 (= (tptp.hAPP @t834 @t501) @t1085)))) % 6.62/6.87 (assume @p723 (forall (@list @t57 @t2 @t39 @t8) (=> @t1022 (= (tptp.hBOOL (tptp.hAPP @t141 @t1174)) (exists @t7 (and (= @t57 @t5) (forall @t641 (=> (= @t57 @t1173) @t1172)))))))) % 6.62/6.87 (assume @p724 (forall @t332 (=> @t1022 (= (tptp.hBOOL (tptp.hAPP @t330 @t93)) @t67)))) % 6.62/6.87 (assume @p725 (forall @t1177 (=> @t1056 (=> @t1176 @t1175)))) % 6.62/6.87 (assume @p726 (forall @t1177 (=> @t1056 (=> @t1175 @t1176)))) % 6.62/6.87 (assume @p727 (forall @t494 (=> @t1022 (= @t506 @t352)))) % 6.62/6.87 (assume @p728 (forall @t494 (=> @t1022 @t486))) % 6.62/6.87 (assume @p729 (forall @t157 (=> @t1179 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP @t826 @t56)) (tptp.hAPP @t55 @t1178)))))) % 6.62/6.87 (assume @p730 (forall @t543 (=> @t191 (=> @t50 (=> @t90 (=> @t260 (=> @t542 @t1181))))))) % 6.62/6.87 (assume @p731 (forall @t660 (=> @t659 (and @t1182 @t658)))) % 6.62/6.87 (assume @p732 (forall @t520 (=> @t50 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1017) @t1014))))) % 6.62/6.87 (assume @p733 (forall @t976 (=> @t1114 (=> @t50 (=> @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t1183) @t1169))))))) % 6.62/6.87 (assume @p734 (forall @t494 (=> @t331 (=> @t1186 (=> @t521 @t1185))))) % 6.62/6.87 (assume @p735 (forall @t1190 (=> @t331 (=> @t1186 (=> @t1189 (=> @t1188 (=> @t50 (=> @t521 @t1187)))))))) % 6.62/6.87 (assume @p736 (forall @t261 (=> @t260 (=> @t378 (= @t1164 @t1166))))) % 6.62/6.87 (assume @p737 (forall @t258 (=> @t50 (= @t1039 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t8 @t52 @t46) @t74) @t45))))) % 6.62/6.87 (assume @p738 (forall @t258 (=> @t724 (=> @t50 (=> @t90 (=> @t260 (=> @t542 @t1191))))))) % 6.62/6.87 (assume @p739 (forall @t1192 (=> @t50 (=> @t521 (= (exists @t549 (and @t548 (tptp.hBOOL (tptp.hAPP @t547 @t74)))) @t1185))))) % 6.62/6.87 (assume @p740 (forall @t520 (=> @t50 (and @t1194 (=> @t136 (= @t1017 @t1014)))))) % 6.62/6.87 (assume @p741 (forall @t520 (=> @t50 @t1194))) % 6.62/6.87 (assume @p742 (forall @t1195 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t403) @t407)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t404) @t403)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 (tptp.hAPP (tptp.hAPP @t467 @t403) @t404)) (tptp.hAPP (tptp.hAPP @t467 @t407) @t404))))))) % 6.62/6.87 (assume @p743 (forall @t1207 (=> @t1206 (=> @t1205 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1203) @t1201)) @t1198))))) % 6.62/6.87 (assume @p744 (forall @t1215 (=> @t1214 (=> (tptp.hBOOL (tptp.hAPP @t1213 @t1208)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1212) @t1210)))))) % 6.62/6.87 (assume @p745 (forall (@list @t1211 @t1216 @t1217) (=> @t1220 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 (tptp.hAPP @t1218 @t1211)) @t1216))))) % 6.62/6.87 (assume @p746 (forall @t1227 (=> @t1226 @t1225))) % 6.62/6.87 (assume @p747 (forall @t1235 (= (tptp.hBOOL (tptp.hAPP @t1234 @t1233)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1231) @t1228))))) % 6.62/6.87 (assume @p748 (= (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))) @t1193)) % 6.62/6.87 (assume @p749 (forall @t1237 (tptp.hBOOL (tptp.hAPP @t1236 @t1211)))) % 6.62/6.87 (assume @p750 (forall @t1240 (tptp.hBOOL (tptp.hAPP @t1236 @t1239)))) % 6.62/6.87 (assume @p751 (forall @t1240 (tptp.hBOOL (tptp.hAPP @t1236 @t1241)))) % 6.62/6.87 (assume @p752 (forall (@list @t221 @t1199) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1244 @t221))) % 6.62/6.87 (assume @p753 (forall @t1251 (= @t1250 (exists @t1248 (= @t1196 @t1247))))) % 6.62/6.87 (assume @p754 (forall @t1227 (or @t1254 @t1252))) % 6.62/6.87 (assume @p755 (forall @t1207 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1257) @t1256)) @t1250))) % 6.62/6.87 (assume @p756 (forall @t1227 (=> @t1258 @t1254))) % 6.62/6.87 (assume @p757 (forall @t1264 (=> @t1263 (tptp.hBOOL (tptp.hAPP @t1262 @t1260))))) % 6.62/6.87 (assume @p758 (forall @t1264 (=> @t1263 (tptp.hBOOL (tptp.hAPP @t1262 @t1265))))) % 6.62/6.87 (assume @p759 (forall @t1270 (=> @t1263 (tptp.hBOOL (tptp.hAPP @t1269 @t1266))))) % 6.62/6.87 (assume @p760 (forall @t1270 (=> @t1263 (=> (tptp.hBOOL (tptp.hAPP @t1271 @t1216)) (tptp.hBOOL (tptp.hAPP @t1262 @t1216)))))) % 6.62/6.87 (assume @p761 (forall @t1227 (=> @t1254 (=> @t1252 @t1258)))) % 6.62/6.87 (assume @p762 (forall @t1275 (=> @t1263 (=> @t1274 (tptp.hBOOL (tptp.hAPP @t1269 @t1272)))))) % 6.62/6.87 (assume @p763 (forall @t1279 (=> @t1278 @t1276))) % 6.62/6.87 (assume @p764 (forall @t1279 (=> @t1278 @t1254))) % 6.62/6.87 (assume @p765 (forall @t1279 (=> @t1278 (not (=> @t1254 (not @t1276)))))) % 6.62/6.87 (assume @p766 (forall @t1287 (= @t1286 (exists @t1284 (forall @t7 (=> @t1283 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t3) @t1280)))))))) % 6.62/6.87 (assume @p767 (forall @t1292 (= (= @t1291 @t1290) @t1288))) % 6.62/6.87 (assume @p768 (forall @t1207 (= (= @t1257 @t1256) @t1288))) % 6.62/6.87 (assume @p769 (forall @t1294 (= (tptp.hAPP (tptp.hAPP @t1223 @t1239) @t1216) (tptp.hAPP @t1238 @t1293)))) % 6.62/6.87 (assume @p770 (forall @t1298 (= (tptp.hAPP @t1295 @t1297) (tptp.hAPP @t1296 (tptp.hAPP @t1295 @t392))))) % 6.62/6.87 (assume @p771 (forall @t1227 (= @t1239 @t1241))) % 6.62/6.87 (assume @p772 (forall @t165 (=> (tptp.class_Groups_Oone @t8) (= (= @t1299 @t60) @t1300)))) % 6.62/6.87 (assume @p773 (forall @t1251 (= (= @t1304 @t1193) @t1301))) % 6.62/6.87 (assume @p774 (forall @t1237 (= (tptp.hAPP @t1305 @t1193) @t1211))) % 6.62/6.87 (assume @p775 (forall @t1251 (= (= @t1193 @t1304) @t1301))) % 6.62/6.87 (assume @p776 (forall @t1237 (= (tptp.hAPP (tptp.hAPP @t1302 @t1193) @t1211) @t1211))) % 6.62/6.87 (assume @p777 (forall @t1309 (= (tptp.hAPP @t1306 @t1239) (tptp.hAPP (tptp.hAPP @t1223 @t1308) @t1307)))) % 6.62/6.87 (assume @p778 (forall @t1294 (= (tptp.hAPP (tptp.hAPP @t1302 @t1239) @t1216) (tptp.hAPP (tptp.hAPP @t1223 @t1312) @t1310)))) % 6.62/6.87 (assume @p779 (forall @t1275 (=> @t1263 (=> @t1274 (tptp.hBOOL (tptp.hAPP @t1316 (tptp.hAPP @t1313 @t1208))))))) % 6.62/6.87 (assume @p780 (forall @t1270 (=> @t1263 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1318) @t1317))))) % 6.62/6.87 (assume @p781 (forall @t1270 (=> @t1263 (tptp.hBOOL (tptp.hAPP @t1316 @t1319))))) % 6.62/6.87 (assume @p782 (forall @t1321 (tptp.hBOOL (tptp.hAPP @t1253 (tptp.hAPP @t1311 @t1320))))) % 6.62/6.87 (assume @p783 (forall @t1321 (tptp.hBOOL (tptp.hAPP @t1253 @t1320)))) % 6.62/6.87 (assume @p784 (forall @t679 (=> @t1324 @t1323))) % 6.62/6.87 (assume @p785 (forall @t679 (=> @t1325 @t1323))) % 6.62/6.87 (assume @p786 (forall @t679 (=> @t1324 @t1326))) % 6.62/6.87 (assume @p787 (forall @t679 (=> @t1325 @t1326))) % 6.62/6.87 (assume @p788 (forall @t679 (=> @t756 @t1326))) % 6.62/6.87 (assume @p789 (forall @t679 (=> @t756 @t1323))) % 6.62/6.87 (assume @p790 (forall @t1331 (=> @t43 (= (= (tptp.hAPP @t1330 @t37) @t1193) (forall @t7 (=> @t1328 @t1327)))))) % 6.62/6.87 (assume @p791 (forall @t1333 (=> @t947 (= (tptp.hAPP (tptp.hAPP @t943 (tptp.hAPP @t1332 @t1299)) @t45) @t1299)))) % 6.62/6.87 (assume @p792 (forall @t679 (=> @t1335 (tptp.hBOOL (tptp.hAPP @t696 @t1334))))) % 6.62/6.87 (assume @p793 (forall @t1337 (=> @t1335 (=> (tptp.hBOOL (tptp.hAPP @t1336 @t793)) (=> (tptp.hBOOL (tptp.hAPP @t1336 @t1211)) (tptp.hBOOL (tptp.hAPP @t1336 (tptp.hAPP (tptp.hAPP @t670 @t793) @t1211)))))))) % 6.62/6.87 (assume @p794 (forall (@list @t793 @t403 @t372) (=> @t756 (= (tptp.hAPP @t795 @t793) @t1338)))) % 6.62/6.87 (assume @p795 (forall (@list @t403 @t793 @t372) (=> @t756 (= (tptp.hAPP @t1339 @t794) @t1338)))) % 6.62/6.87 (assume @p796 (forall @t1343 (=> @t756 (= (tptp.hAPP @t1339 @t793) (tptp.hAPP @t1342 @t793))))) % 6.62/6.87 (assume @p797 (forall @t376 (=> @t955 (= @t836 (tptp.hAPP (tptp.hAPP @t670 @t1344) @t371))))) % 6.62/6.87 (assume @p798 (forall @t165 (=> @t1347 (= (= @t1346 @t1299) (or @t1300 (= @t60 @t1345)))))) % 6.62/6.87 (assume @p799 (forall @t1348 (=> @t947 (= (tptp.hAPP @t944 @t81) @t1299)))) % 6.62/6.87 (assume @p800 (forall @t380 (=> @t947 (= (tptp.hAPP @t945 @t81) @t1299)))) % 6.62/6.87 (assume @p801 (forall @t1351 (=> @t816 (=> @t1350 (= @t975 @t1349))))) % 6.62/6.87 (assume @p802 (forall @t1353 (=> @t816 @t1352))) % 6.62/6.87 (assume @p803 (forall @t118 (= @t1014 (tptp.hAPP (tptp.hAPP @t463 @t1354) @t45)))) % 6.62/6.87 (assume @p804 (forall @t1251 (= @t1198 (and @t1250 @t1355)))) % 6.62/6.87 (assume @p805 (forall @t1251 (= @t1250 @t1356))) % 6.62/6.87 (assume @p806 (forall @t1227 (=> @t1214 @t1254))) % 6.62/6.87 (assume @p807 (forall @t1227 (=> @t1254 (=> @t1357 @t1214)))) % 6.62/6.87 (assume @p808 (forall @t1227 (=> (or @t1214 @t1258) @t1254))) % 6.62/6.87 (assume @p809 (forall @t1270 (=> (tptp.hBOOL (tptp.hAPP @t1360 @t1216)) (tptp.hBOOL (tptp.hAPP @t1358 @t1216))))) % 6.62/6.87 (assume @p810 (forall (@list @t1211 @t793 @t1208 @t1216) (=> @t1364 (=> (= (tptp.hAPP @t1238 @t1208) @t1362) @t1214)))) % 6.62/6.87 (assume @p811 (forall @t1275 (=> @t1366 (=> @t1364 (tptp.hBOOL (tptp.hAPP @t1365 @t1272)))))) % 6.62/6.87 (assume @p812 (forall @t1270 (=> @t1366 (tptp.hBOOL (tptp.hAPP @t1365 @t1266))))) % 6.62/6.87 (assume @p813 (forall @t1264 (=> @t1366 (tptp.hBOOL (tptp.hAPP @t1358 @t1265))))) % 6.62/6.87 (assume @p814 (forall @t1264 (=> @t1366 (tptp.hBOOL (tptp.hAPP @t1358 @t1260))))) % 6.62/6.87 (assume @p815 (forall @t1207 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1257) @t1256)) @t1198))) % 6.62/6.87 (assume @p816 (forall @t1368 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1367) @t1261))))) % 6.62/6.87 (assume @p817 (forall @t1369 (not (tptp.hBOOL (tptp.hAPP @t1360 @t1261))))) % 6.62/6.87 (assume @p818 (forall @t1237 (not (tptp.hBOOL (tptp.hAPP @t1370 @t1211))))) % 6.62/6.87 (assume @p819 (forall @t1251 (= @t1355 (or @t1198 @t1372)))) % 6.62/6.87 (assume @p820 (forall @t1375 (=> @t683 (=> (not @t1374) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t381) @t371)))))) % 6.62/6.87 (assume @p821 (forall @t1240 (=> @t1376 @t1357))) % 6.62/6.87 (assume @p822 (forall (@list @t1377 @t1378) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1378) @t1377)) (not (= @t1378 @t1377))))) % 6.62/6.87 (assume @p823 (forall (@list @t180 @t1196 @t307) (=> (=> @t1198 @t1380) (=> (=> @t1288 @t1380) (=> (=> @t1372 @t1380) @t1380))))) % 6.62/6.87 (assume @p824 (forall @t1287 (= @t1286 (exists @t1284 (forall @t7 (=> @t1283 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t3) @t1280)))))))) % 6.62/6.87 (assume @p825 (forall @t1389 (=> @t816 (=> @t823 (and (=> @t1386 (= @t1385 @t1388)) (=> @t1387 (= @t1385 @t1349))))))) % 6.62/6.87 (assume @p826 (forall @t1389 (=> @t816 (=> @t823 (and (=> @t1386 (= @t1392 @t1388)) (=> @t1387 (= @t1392 @t1349))))))) % 6.62/6.87 (assume @p827 (forall @t1240 (= (tptp.hAPP (tptp.hAPP @t1223 @t1396) @t793) (tptp.hAPP @t1394 @t793)))) % 6.62/6.87 (assume @p828 (forall (@list @t1211 @t1261 @t793) (= (tptp.hAPP (tptp.hAPP @t1397 (tptp.hAPP @t1221 @t1261)) @t1399) (tptp.hAPP (tptp.hAPP @t467 @t1398) @t1261)))) % 6.62/6.87 (assume @p829 (forall @t1309 (= (tptp.hAPP @t1306 @t1222) (tptp.hAPP (tptp.hAPP @t467 @t1308) @t1307)))) % 6.62/6.87 (assume @p830 (forall @t1294 (= (tptp.hAPP (tptp.hAPP @t1302 @t1222) @t1216) (tptp.hAPP (tptp.hAPP @t467 @t1312) @t1310)))) % 6.62/6.87 (assume @p831 (forall @t1227 (= (tptp.hAPP (tptp.hAPP @t467 @t1239) @t1211) @t793))) % 6.62/6.87 (assume @p832 (forall @t1240 (= (tptp.hAPP @t1400 @t1211) @t793))) % 6.62/6.87 (assume @p833 (forall @t1270 (= @t1403 (tptp.hAPP @t1401 @t1266)))) % 6.62/6.87 (assume @p834 (forall @t1270 (= @t1403 (tptp.hAPP (tptp.hAPP @t467 (tptp.hAPP @t1401 @t1216)) @t1217)))) % 6.62/6.87 (assume @p835 (forall @t1309 (= (tptp.hAPP (tptp.hAPP @t467 @t1404) @t1362) @t1222))) % 6.62/6.87 (assume @p836 (forall @t1279 (= (tptp.hAPP @t1405 @t1293) @t1222))) % 6.62/6.87 (assume @p837 (forall @t1207 (=> @t1206 (=> @t1205 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1203) @t1201)) @t1250))))) % 6.62/6.87 (assume @p838 (forall @t1309 (=> (tptp.hBOOL (tptp.hAPP @t1273 @t793)) (=> @t1276 (= (tptp.hAPP (tptp.hAPP @t467 (tptp.hAPP @t1221 @t1216)) (tptp.hAPP @t1395 @t1216)) @t1222))))) % 6.62/6.87 (assume @p839 (forall @t1207 (=> @t1206 (=> @t1205 (= (= @t1203 @t1201) @t1288))))) % 6.62/6.87 (assume @p840 (forall @t1410 (=> @t1409 (= @t1408 @t1407)))) % 6.62/6.87 (assume @p841 (forall @t1410 (=> @t1409 (= @t1407 @t1408)))) % 6.62/6.87 (assume @p842 (forall @t1410 (=> @t1409 (= @t1412 @t1411)))) % 6.62/6.87 (assume @p843 (forall @t1235 (=> @t1415 (= (= @t1413 @t1199) (= @t1228 (tptp.hAPP @t1255 @t1229)))))) % 6.62/6.87 (assume @p844 (forall @t1240 (=> @t1252 (= (tptp.hAPP (tptp.hAPP @t1223 @t1222) @t1211) @t793)))) % 6.62/6.87 (assume @p845 (forall (@list @t1229 @t1228 @t1199) (=> (tptp.hBOOL (tptp.hAPP @t1204 @t1228)) (= (tptp.hBOOL (tptp.hAPP @t1414 @t1233)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1231) @t1228)))))) % 6.62/6.87 (assume @p846 (forall @t1410 (=> @t1409 (= @t1411 @t1412)))) % 6.62/6.87 (assume @p847 (forall @t1240 (=> @t1252 @t1225))) % 6.62/6.87 (assume @p848 (forall @t1416 (=> (tptp.hBOOL (tptp.hAPP @t1262 @t1211)) (= (tptp.hAPP @t1395 @t1399) @t1261)))) % 6.62/6.87 (assume @p849 (forall @t1215 (=> @t1254 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t1221 @t1208)) (tptp.hAPP @t1395 @t1208)))))) % 6.62/6.87 (assume @p850 (forall @t1215 (=> @t1254 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1212) @t1210))))) % 6.62/6.87 (assume @p851 (forall @t1417 (=> @t1276 (tptp.hBOOL (tptp.hAPP @t1253 (tptp.hAPP @t1400 @t1216)))))) % 6.62/6.87 (assume @p852 (forall (@list @t1229 @t1199 @t1228) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1233) @t1229)) (tptp.hBOOL (tptp.hAPP @t1418 @t1231))))) % 6.62/6.87 (assume @p853 (forall @t1410 (=> @t1409 (= (tptp.hAPP @t1401 @t1406) (tptp.hAPP (tptp.hAPP @t467 @t1268) @t1217))))) % 6.62/6.87 (assume @p854 (forall @t1227 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1222) @t793)))) % 6.62/6.87 (assume @p855 (forall @t629 (=> @t816 (=> @t50 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1023 @t957) @t1349) @t45) (tptp.hAPP @t1422 (tptp.hAPP (tptp.hAPP @t1419 @t1349) @t45))))))) % 6.62/6.87 (assume @p856 (forall @t520 (=> @t50 (=> @t136 (= @t1143 (tptp.hAPP @t1423 @t1014)))))) % 6.62/6.87 (assume @p857 (forall @t1353 (=> @t816 (and @t1424 @t1352)))) % 6.62/6.87 (assume @p858 (forall @t1353 (=> @t816 @t1424))) % 6.62/6.87 (assume @p859 (forall @t520 (=> @t50 (= @t1143 @t1425)))) % 6.62/6.87 (assume @p860 (forall @t520 (=> @t50 (=> @t88 (= @t1014 @t1425))))) % 6.62/6.87 (assume @p861 (forall @t272 (=> @t50 (=> @t67 (=> @t78 (= (tptp.hAPP @t1013 @t271) (tptp.hAPP (tptp.hAPP @t467 @t1164) @t1193))))))) % 6.62/6.87 (assume @p862 (forall @t1431 (=> @t1415 (= @t1430 (tptp.hBOOL (tptp.hAPP @t1197 @t1427)))))) % 6.62/6.87 (assume @p863 (forall @t1434 (=> @t1433 (= @t1430 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1432) @t1196)))))) % 6.62/6.87 (assume @p864 (forall @t1434 (=> @t1433 (= @t1435 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1432) @t1196)))))) % 6.62/6.87 (assume @p865 (forall (@list @t1211 @t793 @t1436 @t1261 @t1217) (=> @t1440 (= @t1439 (tptp.hAPP (tptp.hAPP @t467 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1302 @t1402) @t1436)) @t793)) @t1211))))) % 6.62/6.87 (assume @p866 (forall @t1434 (=> @t1433 (= @t1441 (= @t1432 @t1196))))) % 6.62/6.87 (assume @p867 (forall @t1431 (=> @t1415 (= @t1435 (tptp.hBOOL (tptp.hAPP @t1249 @t1427)))))) % 6.62/6.87 (assume @p868 (forall (@list @t1211 @t793 @t1436 @t1217 @t1261) (=> @t1263 (= @t1439 (tptp.hAPP @t1221 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1302 @t1442) @t1436)) @t1211)))))) % 6.62/6.87 (assume @p869 (forall @t1431 (=> @t1415 (= @t1441 (= @t307 @t1427))))) % 6.62/6.87 (assume @p870 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t1393)) % 6.62/6.87 (assume @p871 (not (tptp.hBOOL (tptp.hAPP @t1285 @t1444)))) % 6.62/6.87 (assume @p872 (forall @t1294 (= (tptp.hAPP (tptp.hAPP @t1302 @t1445) @t1216) (tptp.hAPP @t1311 @t1310)))) % 6.62/6.87 (assume @p873 (forall @t1227 (= @t1445 @t1446))) % 6.62/6.87 (assume @p874 (forall (@list @t1216 @t1217 @t1436 @t1261) (= (tptp.hAPP @t1438 (tptp.hAPP @t1437 @t1216)) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1302 @t1359) @t1436)) @t1216)))) % 6.62/6.87 (assume @p875 (forall @t1450 (= (tptp.hBOOL (tptp.hAPP @t1449 (tptp.c_SetInterval_Oord_OatMost @t8 @t1447 @t1199))) (tptp.hBOOL (tptp.hAPP @t1448 @t1199))))) % 6.62/6.87 (assume @p876 (forall @t1450 (= (tptp.hBOOL (tptp.hAPP @t1449 (tptp.c_SetInterval_Oord_OatLeast @t8 @t1447 @t1199))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1447 @t1199) @t1229))))) % 6.62/6.87 (assume @p877 (forall @t1453 (= (tptp.hBOOL (tptp.hAPP @t1449 (tptp.c_SetInterval_Oord_OlessThan @t8 @t1451 @t1199))) (tptp.hBOOL (tptp.hAPP @t1452 @t1199))))) % 6.62/6.87 (assume @p878 (forall @t1453 (= (tptp.hBOOL (tptp.hAPP @t1449 (tptp.c_SetInterval_Oord_OgreaterThan @t8 @t1451 @t1199))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1451 @t1199) @t1229))))) % 6.62/6.87 (assume @p879 (forall (@list @t1426 @t1455 @t1447 @t1229 @t8) (= (tptp.hBOOL (tptp.hAPP @t1449 (tptp.c_SetInterval_Oord_OatLeastAtMost @t8 @t1447 @t1455 @t1426))) (and @t1456 @t1454)))) % 6.62/6.87 (assume @p880 (forall (@list @t1426 @t1455 @t1451 @t1229 @t8) (= (tptp.hBOOL (tptp.hAPP @t1449 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t8 @t1451 @t1455 @t1426))) (and @t1458 @t1457)))) % 6.62/6.87 (assume @p881 (forall @t1459 (= (tptp.hBOOL (tptp.hAPP @t1449 (tptp.c_SetInterval_Oord_OatLeastLessThan @t8 @t1447 @t1451 @t1455 @t1426))) (and @t1456 @t1457)))) % 6.62/6.87 (assume @p882 (forall @t1459 (= (tptp.hBOOL (tptp.hAPP @t1449 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t8 @t1447 @t1451 @t1455 @t1426))) (and @t1458 @t1454)))) % 6.62/6.87 (assume @p883 (forall (@list @t82 @t57 @t13 @t199 @t8 @t39) (=> @t816 (=> @t823 (and (=> @t1386 (= @t1463 (tptp.hAPP (tptp.hAPP @t812 @t1388) (tptp.hAPP @t1462 (tptp.hAPP (tptp.hAPP @t467 @t1460) @t1193))))) (=> @t1387 (= @t1463 (tptp.hAPP @t1462 @t1460)))))))) % 6.62/6.87 (assume @p884 (forall @t1298 (=> @t1466 @t1465))) % 6.62/6.87 (assume @p885 (forall @t1467 (=> (tptp.hBOOL (tptp.hAPP @t1464 @t392)) @t1465))) % 6.62/6.87 (assume @p886 (forall @t1375 (=> @t1374 @t1466))) % 6.62/6.87 (assume @p887 (forall @t1467 (=> (tptp.hBOOL (tptp.hAPP @t1373 @t392)) @t1468))) % 6.62/6.87 (assume @p888 (forall @t1298 (=> @t1374 @t1468))) % 6.62/6.87 (assume @p889 (forall @t520 (=> @t1090 (=> @t50 (=> @t88 (and (=> @t242 (= @t1470 @t60)) (=> @t243 (= @t1470 @t1469)))))))) % 6.62/6.87 (assume @p890 (forall (@list @t1471 @t381 @t371 @t372) (=> @t756 (= (tptp.hAPP (tptp.hAPP @t1472 @t753) @t1471) (tptp.hAPP @t1476 (tptp.hAPP @t1473 @t1471)))))) % 6.62/6.87 (assume @p891 (forall @t1480 (=> @t756 (= (tptp.hAPP (tptp.hAPP @t1472 @t1479) @t1471) (tptp.hAPP @t1474 (tptp.hAPP @t1478 @t1471)))))) % 6.62/6.87 (assume @p892 (forall @t376 (=> @t756 (= (tptp.hAPP @t1474 @t1193) @t371)))) % 6.62/6.87 (assume @p893 (forall @t1480 (=> @t756 (= (tptp.hAPP (tptp.hAPP @t670 @t1479) @t1475) (tptp.hAPP @t1474 (tptp.hAPP (tptp.hAPP @t1223 @t1477) @t1471)))))) % 6.62/6.87 (assume @p894 (forall @t165 (=> @t1090 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t164) @t60)))) % 6.62/6.87 (assume @p895 (forall (@list @t109 @t45 @t8 @t39) (=> @t816 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t84 @t109)) @t45) (tptp.hAPP (tptp.hAPP @t1461 @t109) @t1014)))))) % 6.62/6.87 (assume @p896 (forall @t520 (=> @t1090 (=> @t50 (=> @t88 (= @t1481 @t1470)))))) % 6.62/6.87 (assume @p897 (forall @t118 (=> @t1090 (=> @t50 (= @t1470 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t8 @t1089) @t45)))))) % 6.62/6.87 (assume @p898 (forall @t520 (=> @t1090 (=> @t50 @t1483)))) % 6.62/6.87 (assume @p899 (forall @t258 (=> @t1090 (=> @t50 (=> @t542 (=> @t378 (= (tptp.hAPP (tptp.hAPP @t1089 @t1484) @t1470) @t1470))))))) % 6.62/6.87 (assume @p900 (forall @t258 (=> @t1090 (=> @t50 (=> @t90 (=> @t260 (=> @t542 @t1487))))))) % 6.62/6.87 (assume @p901 (forall @t51 (=> @t1090 (=> @t50 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t48) (tptp.hAPP (tptp.hAPP @t1167 @t13) @t45)))))) % 6.62/6.87 (assume @p902 (forall @t520 (=> @t1090 (=> @t50 (=> @t136 @t1483))))) % 6.62/6.87 (assume @p903 (forall @t520 (=> @t1090 (=> @t50 (and (=> @t242 (= @t1482 @t60)) (=> @t243 (= @t1482 @t1469))))))) % 6.62/6.87 (assume @p904 (forall @t520 (=> @t1090 (=> @t50 (=> @t136 (= @t1482 (tptp.hAPP (tptp.hAPP @t1167 @t60) @t45))))))) % 6.62/6.87 (assume @p905 (forall @t1492 (=> @t1335 (=> @t1491 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t1490) @t1489)) @t1254))))) % 6.62/6.87 (assume @p906 (forall @t1501 (=> @t1500 (=> @t1499 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t1497) @t1496)) @t1493))))) % 6.62/6.87 (assume @p907 (forall @t1506 (=> @t1505 (= @t1504 (tptp.hAPP (tptp.hAPP @t670 (tptp.hAPP @t1502 @t1211)) @t1489))))) % 6.62/6.87 (assume @p908 (forall @t1513 (=> @t1335 (=> @t1512 (=> @t1511 (tptp.hBOOL (tptp.hAPP @t1509 @t1508))))))) % 6.62/6.87 (assume @p909 (forall @t1513 (=> @t1335 (=> @t1515 (=> @t1491 (tptp.hBOOL (tptp.hAPP @t1514 @t1508))))))) % 6.62/6.87 (assume @p910 (forall @t1492 (=> @t1335 (=> @t1491 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t1490) @t1489)) @t1214))))) % 6.62/6.87 (assume @p911 (forall @t1501 (=> @t1500 (=> @t1499 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t1497) @t1496)) @t1516))))) % 6.62/6.87 (assume @p912 (forall @t1506 (=> @t1335 (=> @t1491 (tptp.hBOOL (tptp.hAPP @t1514 @t1517)))))) % 6.62/6.87 (assume @p913 (forall @t1506 (=> @t1325 (= @t1519 @t1517)))) % 6.62/6.87 (assume @p914 (forall @t1522 (=> @t1324 (= (tptp.hAPP (tptp.hAPP @t1472 @t674) @t1211) (tptp.hAPP @t1518 @t1521))))) % 6.62/6.87 (assume @p915 (forall @t1524 (=> @t1325 (= (tptp.hAPP @t1523 @t1211) @t1322)))) % 6.62/6.87 (assume @p916 (forall @t1492 (=> @t1325 (= (tptp.hAPP @t1488 @t1445) (tptp.hAPP (tptp.hAPP @t1472 @t1490) @t1211))))) % 6.62/6.87 (assume @p917 (forall @t679 (=> @t1325 (= (tptp.hAPP @t1488 @t1193) @t403)))) % 6.62/6.87 (assume @p918 (forall @t1506 (=> @t1335 (=> @t1511 (tptp.hBOOL (tptp.hAPP @t1510 @t1489)))))) % 6.62/6.87 (assume @p919 (forall (@list @t1196 @t307 @t13 @t8) (=> @t1500 (=> (tptp.hBOOL (tptp.hAPP @t1498 @t13)) (= (= (tptp.hAPP @t1525 @t307) @t1526) @t1288))))) % 6.62/6.87 (assume @p920 (forall @t1492 (=> @t1325 (= (tptp.hAPP @t1488 @t1239) (tptp.hAPP (tptp.hAPP @t670 @t1490) @t1489))))) % 6.62/6.87 (assume @p921 (forall @t1506 (=> @t1335 (=> @t1491 (tptp.hBOOL (tptp.hAPP @t1336 @t1517)))))) % 6.62/6.87 (assume @p922 (forall @t54 (=> @t1527 (= @t1494 (tptp.c_Power_Opower_Opower @t8 @t1299 @t642))))) % 6.62/6.87 (assume @p923 (forall @t118 (=> @t1090 (=> @t50 (=> @t90 (=> (forall @t210 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t1528) @t208))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t1470) @t45)))))))) % 6.62/6.87 (assume @p924 (forall @t1532 (=> @t1022 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t1531) (tptp.hAPP (tptp.hAPP @t46 (tptp.c_HOL_OThe @t8 (tptp.hAPP @t339 @t13))) @t53)))))) % 6.62/6.87 (assume @p925 (forall @t1007 (=> @t1090 (=> (forall @t210 (= (tptp.hAPP @t38 @t1528) (tptp.hAPP (tptp.hAPP @t1089 @t227) @t226))) (=> @t225 (=> @t224 (= (tptp.hAPP @t38 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t221)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t223)))))))) % 6.62/6.87 (assume @p926 (forall @t1351 (=> @t1538 (=> @t50 (= @t1537 (tptp.hAPP (tptp.hAPP @t1534 (tptp.c_Orderings_Obot__class_Obot @t39)) @t45)))))) % 6.62/6.87 (assume @p927 (forall @t1548 (=> @t816 (=> @t1547 (=> @t1546 (=> @t1544 (= @t1541 @t1539))))))) % 6.62/6.87 (assume @p928 (forall @t1548 (=> @t816 (=> @t1547 (=> @t1546 (=> @t1544 (= @t1539 @t1541))))))) % 6.62/6.87 (assume @p929 (forall @t1555 (=> @t816 (=> @t50 (=> @t260 (=> @t1554 (= @t1550 @t1549))))))) % 6.62/6.87 (assume @p930 (forall (@list @t8 @t74 @t60 @t45) (=> @t115 (=> @t1051 @t1556)))) % 6.62/6.87 (assume @p931 (forall @t500 (=> @t1556 (not (=> @t115 @t1053))))) % 6.62/6.87 (assume @p932 (forall (@list @t39 @t57 @t74 @t45 @t13 @t8) (=> @t67 (=> @t1563 @t1560)))) % 6.62/6.87 (assume @p933 (forall (@list @t125 @t39 @t82 @t57 @t74 @t45 @t13 @t8) (=> @t67 (=> @t1567 @t1566)))) % 6.62/6.87 (assume @p934 (forall @t256 (=> @t101 (=> @t100 @t1568)))) % 6.62/6.87 (assume @p935 (forall @t256 (=> @t1568 (not @t105)))) % 6.62/6.87 (assume @p936 (forall @t1122 (=> (or @t43 @t1120) (tptp.hBOOL (tptp.hAPP @t42 (tptp.hAPP (tptp.hAPP @t1551 @t37) @t12)))))) % 6.62/6.87 (assume @p937 (forall (@list @t39 @t74 @t8 @t57 @t13 @t2) (=> @t1572 (=> (tptp.hBOOL (tptp.hAPP @t59 @t74)) (tptp.hBOOL (tptp.hAPP @t1571 @t1570)))))) % 6.62/6.87 (assume @p938 (forall @t376 (=> @t1072 @t1575))) % 6.62/6.87 (assume @p939 (forall @t118 (= (tptp.hAPP @t1552 @t45) @t45))) % 6.62/6.87 (assume @p940 (forall @t258 (= @t1553 @t1577))) % 6.62/6.87 (assume @p941 (forall @t258 (= (tptp.hAPP @t1552 @t1553) @t1553))) % 6.62/6.87 (assume @p942 (forall @t450 (= @t1580 (tptp.hAPP @t1576 @t1578)))) % 6.62/6.87 (assume @p943 (forall @t494 (= (tptp.hAPP @t1530 @t1585) (tptp.hAPP (tptp.hAPP @t1551 @t1582) @t1581)))) % 6.62/6.87 (assume @p944 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t1551 @t1553) @t447) @t1580))) % 6.62/6.87 (assume @p945 (forall @t461 (= (tptp.hBOOL (tptp.hAPP @t1582 @t60)) (tptp.hBOOL (tptp.hAPP @t45 @t64))))) % 6.62/6.87 (assume @p946 (forall @t500 (=> @t1556 @t115))) % 6.62/6.87 (assume @p947 (forall @t500 (=> @t1556 @t1051))) % 6.62/6.87 (assume @p948 (forall @t679 (=> @t1587 (= (tptp.hAPP @t1586 @t403) @t403)))) % 6.62/6.87 (assume @p949 (forall @t376 (=> @t1587 @t1575))) % 6.62/6.87 (assume @p950 (forall @t1091 (=> @t1090 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t167) @t2) @t1) @t60) (tptp.hAPP (tptp.hAPP @t1588 @t64) @t228))))) % 6.62/6.87 (assume @p951 (forall @t621 (=> @t1587 (= @t1590 (tptp.hAPP @t1589 @t403))))) % 6.62/6.87 (assume @p952 (forall @t386 (=> @t1072 @t1594))) % 6.62/6.87 (assume @p953 (forall @t386 (=> @t1587 @t1594))) % 6.62/6.87 (assume @p954 (forall @t621 (=> @t1587 (= (tptp.hAPP @t1586 @t1590) @t1590)))) % 6.62/6.87 (assume @p955 (forall @t386 (=> @t1072 @t1595))) % 6.62/6.87 (assume @p956 (forall @t386 (=> @t1587 @t1595))) % 6.62/6.87 (assume @p957 (forall @t411 (=> @t1587 (= (tptp.hAPP @t1589 (tptp.hAPP @t1586 @t404)) @t1596)))) % 6.62/6.87 (assume @p958 (forall @t402 (=> @t1072 @t1600))) % 6.62/6.87 (assume @p959 (forall @t402 (=> @t1587 @t1600))) % 6.62/6.87 (assume @p960 (forall @t416 (=> @t1587 (= (tptp.hAPP (tptp.hAPP @t1573 @t1590) @t404) @t1596)))) % 6.62/6.87 (assume @p961 (forall @t402 (=> @t1072 @t1601))) % 6.62/6.87 (assume @p962 (forall @t402 (=> @t1587 @t1601))) % 6.62/6.87 (assume @p963 (forall @t252 (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t8 @t251) @t250) @t250))) % 6.62/6.87 (assume @p964 (forall @t157 (= @t1603 (tptp.hAPP @t1552 @t1155)))) % 6.62/6.87 (assume @p965 (forall @t1192 (=> @t50 (= @t1606 @t1605)))) % 6.62/6.87 (assume @p966 (forall @t386 (=> @t1072 @t1608))) % 6.62/6.87 (assume @p967 (forall @t386 (=> @t1587 @t1608))) % 6.62/6.87 (assume @p968 (forall @t386 (=> @t1072 @t1609))) % 6.62/6.87 (assume @p969 (forall @t386 (=> @t1587 @t1609))) % 6.62/6.87 (assume @p970 (forall @t198 (=> @t1612 (= @t426 (= @t1611 @t60))))) % 6.62/6.87 (assume @p971 (forall @t891 (=> @t1612 (= (tptp.hBOOL (tptp.hAPP @t425 (tptp.hAPP (tptp.hAPP @t1588 @t109) @t142))) @t905)))) % 6.62/6.87 (assume @p972 (forall @t881 (=> @t1587 (=> @t874 @t1614)))) % 6.62/6.87 (assume @p973 (forall @t904 (=> @t1587 (=> @t873 @t1614)))) % 6.62/6.87 (assume @p974 (forall @t386 (=> @t1587 (=> @t384 (= @t1593 @t371))))) % 6.62/6.87 (assume @p975 (forall @t399 (=> @t1587 (=> @t383 (= @t1593 @t381))))) % 6.62/6.87 (assume @p976 (forall @t886 (=> @t1587 (=> @t885 (=> @t883 @t1615))))) % 6.62/6.87 (assume @p977 (forall @t402 (=> @t1587 (=> @t384 (=> @t400 (tptp.hBOOL (tptp.hAPP @t374 @t1598))))))) % 6.62/6.87 (assume @p978 (forall @t880 (=> @t1587 (=> @t413 (=> @t879 (tptp.hBOOL (tptp.hAPP @t1613 (tptp.hAPP (tptp.hAPP @t1573 @t404) @t608)))))))) % 6.62/6.87 (assume @p979 (forall @t886 (=> @t1587 (=> @t1615 @t900)))) % 6.62/6.87 (assume @p980 (forall @t881 (=> @t1587 (=> @t922 @t1616)))) % 6.62/6.87 (assume @p981 (forall @t904 (=> @t1587 (=> @t921 @t1616)))) % 6.62/6.87 (assume @p982 (forall @t376 (=> @t1119 (= (tptp.hAPP (tptp.hAPP @t1573 @t501) @t371) @t501)))) % 6.62/6.87 (assume @p983 (forall @t376 (=> @t1119 (= (tptp.hAPP @t1574 @t501) @t501)))) % 6.62/6.87 (assume @p984 (forall @t386 (=> @t1072 (= (tptp.hAPP @t1574 @t1096) @t371)))) % 6.62/6.87 (assume @p985 (forall @t386 (=> @t1072 (= (tptp.hAPP @t1070 @t1593) @t371)))) % 6.62/6.87 (assume @p986 (forall @t402 (=> @t1619 (= @t1618 @t1617)))) % 6.62/6.87 (assume @p987 (forall @t402 (=> @t1619 (= @t1621 @t1620)))) % 6.62/6.87 (assume @p988 (forall @t856 (=> @t1619 (= (tptp.hAPP (tptp.hAPP @t1573 @t1101) @t371) (tptp.hAPP (tptp.hAPP @t1069 @t1592) (tptp.hAPP (tptp.hAPP @t1573 @t392) @t371)))))) % 6.62/6.87 (assume @p989 (forall @t856 (=> @t1619 (= (tptp.hAPP (tptp.hAPP @t1069 @t1598) @t371) (tptp.hAPP (tptp.hAPP @t1573 @t1095) (tptp.hAPP (tptp.hAPP @t1069 @t392) @t371)))))) % 6.62/6.87 (assume @p990 (forall @t376 (=> @t1086 (= (tptp.hAPP (tptp.hAPP @t1573 @t1085) @t371) @t371)))) % 6.62/6.87 (assume @p991 (forall @t376 (=> @t1086 (= (tptp.hAPP @t1574 @t1085) @t371)))) % 6.62/6.87 (assume @p992 (forall @t198 (=> (tptp.class_Lattices_Obounded__lattice__top @t8) (= (= @t1611 @t1084) (and (= @t60 @t1084) (= @t109 @t1084)))))) % 6.62/6.87 (assume @p993 (forall (@list @t74 @t2 @t39 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t66 @t1581)) (tptp.hBOOL (tptp.hAPP @t330 @t74))))) % 6.62/6.87 (assume @p994 (forall (@list @t45 @t2 @t39 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t66 @t1582)) (tptp.hBOOL (tptp.hAPP @t330 @t45))))) % 6.62/6.87 (assume @p995 (forall (@list @t39 @t45 @t13 @t2 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t161) @t45)) (tptp.hBOOL (tptp.hAPP @t1571 @t1602))))) % 6.62/6.87 (assume @p996 (forall @t256 (= @t1568 (and @t101 @t100)))) % 6.62/6.87 (assume @p997 (forall @t256 (=> @t1568 @t101))) % 6.62/6.87 (assume @p998 (forall @t256 (=> @t1568 @t100))) % 6.62/6.87 (assume @p999 (forall @t54 (=> (and @t1612 @t665) (= @t1588 @t798)))) % 6.62/6.87 (assume @p1000 (forall @t380 (= (tptp.hAPP @t1530 @t81) @t53))) % 6.62/6.87 (assume @p1001 (forall @t1073 (= (tptp.hAPP (tptp.hAPP @t1551 @t53) @t74) @t53))) % 6.62/6.87 (assume @p1002 (forall @t118 (= (tptp.hAPP @t1552 @t53) @t53))) % 6.62/6.87 (assume @p1003 (forall @t258 (= @t1554 (forall @t7 (=> @t130 (forall @t458 (=> (tptp.hBOOL (tptp.hAPP @t456 @t74)) @t1622))))))) % 6.62/6.87 (assume @p1004 (forall @t507 (=> @t352 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t504 @t1602) @t1570))))) % 6.62/6.87 (assume @p1005 (forall @t380 (= (tptp.hAPP @t1530 @t1058) @t1021))) % 6.62/6.87 (assume @p1006 (forall @t1624 (= (tptp.hAPP (tptp.hAPP @t1551 @t48) @t139) @t1623))) % 6.62/6.87 (assume @p1007 (forall @t494 (= (tptp.hAPP @t1530 @t1131) (tptp.hAPP (tptp.hAPP @t1037 @t1582) @t1581)))) % 6.62/6.87 (assume @p1008 (forall @t258 (tptp.hBOOL (tptp.hAPP @t1625 @t45)))) % 6.62/6.87 (assume @p1009 (forall @t258 (tptp.hBOOL (tptp.hAPP @t1625 @t74)))) % 6.62/6.87 (assume @p1010 (forall @t258 (=> @t352 (= @t1553 @t45)))) % 6.62/6.87 (assume @p1011 (forall @t261 (=> @t378 (= @t1553 @t74)))) % 6.62/6.87 (assume @p1012 (forall @t1627 (=> @t1626 (=> (tptp.hBOOL (tptp.hAPP @t503 @t74)) (tptp.hBOOL (tptp.hAPP @t503 @t1553)))))) % 6.62/6.87 (assume @p1013 (forall @t1128 (=> @t448 (=> @t1127 (tptp.hBOOL (tptp.hAPP @t1625 (tptp.hAPP @t1628 @t502))))))) % 6.62/6.87 (assume @p1014 (forall @t1073 (= (tptp.hAPP (tptp.hAPP @t1551 @t1021) @t74) @t74))) % 6.62/6.87 (assume @p1015 (forall @t118 (= (tptp.hAPP @t1552 @t1021) @t45))) % 6.62/6.87 (assume @p1016 (forall @t450 (= @t1630 (tptp.hAPP @t1629 @t1578)))) % 6.62/6.87 (assume @p1017 (forall @t450 (= (tptp.hAPP @t1038 @t1579) (tptp.hAPP @t1631 @t1076)))) % 6.62/6.87 (assume @p1018 (forall @t1633 (= (tptp.hAPP (tptp.hAPP @t1551 @t1077) @t45) (tptp.hAPP (tptp.hAPP @t1037 @t1577) @t1632)))) % 6.62/6.87 (assume @p1019 (forall @t1633 (= (tptp.hAPP (tptp.hAPP @t1037 @t1579) @t45) (tptp.hAPP (tptp.hAPP @t1551 @t1075) @t1634)))) % 6.62/6.87 (assume @p1020 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t1037 (tptp.hAPP @t1629 @t1579)) @t1632) (tptp.hAPP (tptp.hAPP @t1551 (tptp.hAPP @t1631 @t1077)) @t1634)))) % 6.62/6.87 (assume @p1021 (forall @t494 (= (tptp.hAPP @t1530 @t524) (tptp.hAPP (tptp.hAPP @t237 @t1582) @t1581)))) % 6.62/6.87 (assume @p1022 (forall @t1627 (= (tptp.hAPP @t1628 @t254) (tptp.hAPP (tptp.hAPP @t237 @t1632) (tptp.hAPP @t1628 @t74))))) % 6.62/6.87 (assume @p1023 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t237 @t1553) @t447) (tptp.hAPP @t1552 @t1134)))) % 6.62/6.87 (assume @p1024 (forall @t450 (= (tptp.hAPP @t1637 @t447) @t1636))) % 6.62/6.87 (assume @p1025 (forall @t1125 (= @t1636 (tptp.hAPP @t1635 @t74)))) % 6.62/6.87 (assume @p1026 (forall @t494 (=> @t331 (=> @t451 (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t1553))))) % 6.62/6.87 (assume @p1027 (forall @t159 (= (tptp.hAPP @t1530 @t1178) (tptp.hAPP @t826 @t1582)))) % 6.62/6.87 (assume @p1028 (forall @t54 (=> @t1612 (tptp.c_Finite__Set_Ofun__left__comm__idem @t8 @t8 @t1588)))) % 6.62/6.87 (assume @p1029 (forall @t1138 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1551 @t204) @t203) @t60)) (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP (tptp.hAPP @t1551 @t200) @t199)))))) % 6.62/6.87 (assume @p1030 (forall @t402 (=> @t1072 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t1617) @t1618))))) % 6.62/6.87 (assume @p1031 (forall @t402 (=> @t1072 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t1621) @t1620))))) % 6.62/6.87 (assume @p1032 (forall @t376 (=> @t872 (= (tptp.hAPP @t1574 @t836) @t501)))) % 6.62/6.87 (assume @p1033 (forall @t376 (=> @t872 (= (tptp.hAPP @t1638 @t371) @t501)))) % 6.62/6.87 (assume @p1034 (forall @t386 (=> @t872 (= @t954 (tptp.hAPP @t1574 @t835))))) % 6.62/6.87 (assume @p1035 (forall @t386 (=> @t872 (= (tptp.hAPP @t834 @t1593) (tptp.hAPP @t1109 @t835))))) % 6.62/6.87 (assume @p1036 (forall @t386 (=> @t872 (= (tptp.hAPP @t834 @t1096) (tptp.hAPP @t1638 @t835))))) % 6.62/6.87 (assume @p1037 (forall @t1624 (and @t1641 @t1640))) % 6.62/6.87 (assume @p1038 (forall @t1646 (and @t1645 @t1644))) % 6.62/6.87 (assume @p1039 (forall @t1624 @t1640)) % 6.62/6.87 (assume @p1040 (forall @t1646 @t1644)) % 6.62/6.87 (assume @p1041 (forall @t1624 @t1641)) % 6.62/6.87 (assume @p1042 (forall @t1646 @t1645)) % 6.62/6.87 (assume @p1043 (forall @t159 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t1603) @t45)))) % 6.62/6.87 (assume @p1044 (forall @t157 (=> @t1179 (= @t1603 @t45)))) % 6.62/6.87 (assume @p1045 (forall @t494 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP @t55 @t1585)) (tptp.hAPP (tptp.hAPP @t1551 @t56) @t160))))) % 6.62/6.87 (assume @p1046 (forall @t258 (=> @t1554 (= @t254 @t45)))) % 6.62/6.87 (assume @p1047 (forall @t258 (= (tptp.hAPP @t1552 @t335) @t53))) % 6.62/6.87 (assume @p1048 (forall @t450 (= (= (tptp.hAPP @t1629 @t447) @t1630) @t1626))) % 6.62/6.87 (assume @p1049 (forall @t258 (= (tptp.hAPP @t1647 @t1553) @t45))) % 6.62/6.87 (assume @p1050 (forall @t450 (= (tptp.hAPP @t238 @t1077) (tptp.hAPP @t1637 @t1135)))) % 6.62/6.87 (assume @p1051 (forall @t450 (= (tptp.hAPP @t238 @t1579) (tptp.hAPP @t1647 @t1135)))) % 6.62/6.87 (assume @p1052 (forall @t1652 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1648 @t1651) @t60)) (tptp.hBOOL (tptp.hAPP @t62 (tptp.hAPP @t1648 @t725)))))) % 6.62/6.87 (assume @p1053 (forall @t118 (= (tptp.hAPP @t1552 @t827) @t53))) % 6.62/6.87 (assume @p1054 (forall @t118 (= (tptp.hAPP @t1653 @t45) @t53))) % 6.62/6.87 (assume @p1055 (forall @t258 (= (tptp.hAPP @t826 @t1553) (tptp.hAPP @t1108 @t942)))) % 6.62/6.87 (assume @p1056 (forall @t258 (= (tptp.hAPP @t826 @t1039) (tptp.hAPP @t1653 @t942)))) % 6.62/6.87 (assume @p1057 (forall @t258 (= (tptp.hAPP @t238 @t942) @t1553))) % 6.62/6.87 (assume @p1058 (forall @t258 (= @t254 (tptp.hAPP @t1552 @t942)))) % 6.62/6.87 (assume @p1059 (forall (@list @t57 @t2 @t39 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t66 (tptp.hAPP @t1530 (tptp.hAPP @t1654 @t81)))) @t1572))) % 6.62/6.87 (assume @p1060 (forall @t965 (=> @t1612 (=> @t50 (= (tptp.hAPP @t1656 @t48) (tptp.hAPP @t1658 @t1657)))))) % 6.62/6.87 (assume @p1061 (forall @t51 (=> @t1090 (=> @t50 (=> @t67 (= (tptp.hAPP @t1658 @t1470) @t13)))))) % 6.62/6.87 (assume @p1062 (forall (@list @t74 @t13 @t2 @t39 @t8) (= (tptp.hAPP @t1530 @t163) (tptp.hAPP (tptp.hAPP @t1037 @t1531) @t1581)))) % 6.62/6.87 (assume @p1063 (forall @t1661 (=> @t1660 (=> (= (tptp.hAPP @t40 @t1021) @t1058) @t1659)))) % 6.62/6.87 (assume @p1064 (forall (@list @t45 @t74 @t2 @t8 @t39) (=> @t1179 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t504 @t1570) @t45)) @t509)))) % 6.62/6.87 (assume @p1065 (forall @t44 (=> @t43 (=> (tptp.c_Fun_Oinj__on @t39 @t8 @t38 @t1058) (tptp.hBOOL (tptp.hAPP @t41 (tptp.hAPP (tptp.c_Set_Ovimage @t39 @t8 @t38) @t37))))))) % 6.62/6.87 (assume @p1066 (forall @t159 (=> @t1022 (= (tptp.hAPP @t1530 @t93) @t45)))) % 6.62/6.87 (assume @p1067 (forall @t488 (=> @t487 (=> @t448 (=> @t449 @t1662))))) % 6.62/6.87 (assume @p1068 (forall @t494 (=> @t1022 @t1662))) % 6.62/6.87 (assume @p1069 (forall @t258 (= @t1554 (tptp.hBOOL (tptp.hAPP @t351 @t942))))) % 6.62/6.87 (assume @p1070 (forall (@list @t39 @t45 @t82 @t8) (and (=> @t101 (= @t1664 @t1058)) (=> @t102 (= @t1664 @t81))))) % 6.62/6.87 (assume @p1071 (forall @t530 (=> @t235 (=> @t234 (=> @t521 (= (tptp.hAPP (tptp.hAPP @t2 @t1161) (tptp.hAPP @t37 @t1585)) @t1160)))))) % 6.62/6.87 (assume @p1072 (forall @t386 (=> @t872 (=> (= @t1593 @t501) (=> (= @t1096 @t1085) (= @t836 @t381)))))) % 6.62/6.87 (assume @p1073 (forall @t976 (=> @t1612 (=> @t50 (=> @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t1657) @t1665))))))) % 6.62/6.87 (assume @p1074 (forall @t51 (=> @t1612 (=> @t50 (=> @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t1666) @t13))))))) % 6.62/6.87 (assume @p1075 (forall @t520 (=> @t1612 (=> @t50 (=> @t90 (= (tptp.hBOOL (tptp.hAPP @t425 @t1666)) @t951)))))) % 6.62/6.87 (assume @p1076 (forall @t1555 (=> @t575 (=> @t50 (=> @t260 (= (tptp.hAPP (tptp.hAPP @t571 @t1668) (tptp.hAPP @t570 @t1553)) @t1667)))))) % 6.62/6.87 (assume @p1077 (forall @t452 (=> @t1022 (=> @t523 @t1669)))) % 6.62/6.87 (assume @p1078 (forall @t1555 (=> @t816 (=> @t50 (=> @t260 (= (tptp.hAPP (tptp.hAPP @t812 @t1671) (tptp.hAPP @t811 @t1553)) @t1670)))))) % 6.62/6.87 (assume @p1079 (forall @t258 (=> @t50 (=> @t260 (= @t1676 @t1673))))) % 6.62/6.87 (assume @p1080 (forall @t258 (=> @t50 (=> @t260 (= @t1673 @t1676))))) % 6.62/6.87 (assume @p1081 (forall @t258 (=> (tptp.hBOOL (tptp.hAPP @t42 @t1553)) (= @t1164 (tptp.hAPP @t1165 @t1674))))) % 6.62/6.87 (assume @p1082 (forall (@list @t74 @t39 @t149 @t45 @t82 @t8) (and (=> @t101 (and (=> @t1682 (= @t1681 @t1058)) (=> @t1683 (= @t1681 @t74)))) (=> @t102 (and (=> @t1682 (= @t1681 (tptp.hAPP @t1018 @t74))) (=> @t1683 (= @t1681 @t81))))))) % 6.62/6.87 (assume @p1083 (forall @t543 (=> @t177 (=> @t50 (=> @t260 (=> @t1685 (= (tptp.hAPP (tptp.hAPP @t2 @t1180) @t1684) @t1160))))))) % 6.62/6.87 (assume @p1084 (forall @t543 (=> @t177 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (=> @t1554 @t1181)))))))) % 6.62/6.87 (assume @p1085 (forall @t530 (=> @t235 (=> @t234 (=> @t521 (=> (= @t1585 @t81) @t1162)))))) % 6.62/6.87 (assume @p1086 (forall @t1555 (=> @t575 (=> @t50 (=> @t260 (=> @t1554 @t1686)))))) % 6.62/6.87 (assume @p1087 (forall @t496 (=> @t364 (=> @t50 (=> @t260 (= (tptp.hAPP @t358 @t1039) (tptp.hAPP (tptp.hAPP @t361 (tptp.hAPP (tptp.hAPP @t571 @t359) @t495)) @t1687))))))) % 6.62/6.87 (assume @p1088 (forall @t1555 (=> @t816 (=> @t50 (=> @t260 (=> @t1554 @t1688)))))) % 6.62/6.87 (assume @p1089 (forall @t496 (=> @t1538 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t1533 @t74) @t1537) (tptp.hAPP (tptp.hAPP @t1534 @t74) @t45)))))) % 6.62/6.87 (assume @p1090 (forall @t258 (=> @t50 (=> @t260 (=> @t1554 @t1689))))) % 6.62/6.87 (assume @p1091 (forall @t494 (= @t1154 (and @t331 @t451 (= (tptp.hAPP (tptp.hAPP @t1583 @t485) (tptp.hAPP @t92 @t335)) @t81))))) % 6.62/6.87 (assume @p1092 (forall @t1555 (=> @t816 (=> @t50 (=> @t260 (= @t1549 (tptp.hAPP (tptp.hAPP @t812 @t1550) (tptp.hAPP @t1420 @t1553)))))))) % 6.62/6.87 (assume @p1093 (forall @t258 (=> @t645 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (=> @t1554 @t1191)))))))) % 6.62/6.87 (assume @p1094 (forall @t258 (=> @t1090 (=> @t50 (=> @t260 (=> @t1685 (= (tptp.hAPP (tptp.hAPP @t1089 @t1486) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t1553)) @t1485))))))) % 6.62/6.87 (assume @p1095 (forall @t258 (=> @t1090 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (=> @t1554 @t1487)))))))) % 6.62/6.87 (assume @p1096 (forall @t258 (=> @t665 (=> @t50 (=> @t260 (=> @t1685 (= (tptp.hAPP (tptp.hAPP @t798 @t1049) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t1553)) @t1048))))))) % 6.62/6.87 (assume @p1097 (forall @t258 (=> @t665 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (=> @t1554 @t1050)))))))) % 6.62/6.87 (assume @p1098 (forall @t258 (=> @t665 (=> @t50 (=> @t260 (=> @t1685 (= (tptp.hAPP (tptp.hAPP @t802 @t1046) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t1553)) @t1045))))))) % 6.62/6.87 (assume @p1099 (forall @t258 (=> @t665 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (=> @t1554 @t1047)))))))) % 6.62/6.87 (assume @p1100 (forall @t258 (=> @t665 (=> @t50 (=> @t260 (=> @t1685 (= (tptp.hAPP (tptp.hAPP @t798 @t1043) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 @t1553)) @t1042))))))) % 6.62/6.87 (assume @p1101 (forall @t258 (=> @t665 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (=> @t1554 @t1044)))))))) % 6.62/6.87 (assume @p1102 (forall @t258 (=> @t665 (=> @t50 (=> @t260 (=> @t1685 (= (tptp.hAPP (tptp.hAPP @t802 @t1040) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 @t1553)) @t1036))))))) % 6.62/6.87 (assume @p1103 (forall @t258 (=> @t665 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (=> @t1554 @t1041)))))))) % 6.62/6.87 (assume @p1104 (forall (@list @t2 @t74 @t45 @t8) (=> @t50 (=> @t260 (= (tptp.hAPP @t464 @t1039) (tptp.hAPP (tptp.hAPP @t467 (tptp.hAPP (tptp.hAPP @t1223 @t466) @t465)) (tptp.hAPP @t464 @t1553))))))) % 6.62/6.87 (assume @p1105 (forall @t1694 (= @t1581 (tptp.hAPP @t1693 (tptp.hAPP (tptp.hAPP @t1691 @t1530) @t1690))))) % 6.62/6.87 (assume @p1106 (forall @t157 (= @t56 (tptp.hAPP @t1696 (tptp.hAPP (tptp.hAPP @t1695 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t294 @t39) @t46) @t2)) @t53))))) % 6.62/6.87 (assume @p1107 (forall @t1698 (=> @t67 (=> @t1697 (tptp.hBOOL (tptp.hAPP @t141 @t1559)))))) % 6.62/6.87 (assume @p1108 (forall @t1701 (=> @t1538 (=> @t1700 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t1699) (tptp.hAPP @t1536 @t662))))))) % 6.62/6.87 (assume @p1109 (forall @t496 (=> @t1538 (=> @t352 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t1537) (tptp.hAPP (tptp.hAPP @t1535 @t74) @t2))))))) % 6.62/6.87 (assume @p1110 (forall @t1703 (=> @t1538 (=> @t90 (= (tptp.hAPP @t1536 @t1702) @t662))))) % 6.62/6.87 (assume @p1111 (forall @t1706 (= (tptp.hAPP (tptp.hAPP @t1692 @t1705) @t74) (tptp.hAPP (tptp.hAPP @t1037 @t1561) @t1704)))) % 6.62/6.87 (assume @p1112 (forall @t1713 (and (=> @t1711 (= @t1710 @t81)) (=> @t1712 (= @t1710 @t1709))))) % 6.62/6.87 (assume @p1113 (forall @t1720 (= (tptp.hAPP (tptp.hAPP @t1692 @t1719) @t447) (tptp.hAPP @t1718 (tptp.hAPP (tptp.hAPP @t1716 (tptp.hAPP (tptp.hAPP @t1715 @t1692) @t74)) @t447))))) % 6.62/6.87 (assume @p1114 (forall (@list @t180 @t74 @t45 @t39 @t8) (= (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t129 @t1704)) @t1080)) (forall @t7 (=> @t144 (forall @t458 (=> (tptp.hBOOL (tptp.hAPP @t456 @t1604)) (tptp.hBOOL (tptp.hAPP @t180 @t453))))))))) % 6.62/6.87 (assume @p1115 (forall @t1726 (= (tptp.hAPP @t1696 (tptp.hAPP (tptp.hAPP @t1725 (tptp.hAPP (tptp.hAPP @t1724 @t1717) @t74)) @t447)) (tptp.hAPP (tptp.hAPP @t1717 @t1722) @t447)))) % 6.62/6.87 (assume @p1116 (forall @t1729 (= @t1560 (exists @t7 (and @t130 @t1728))))) % 6.62/6.87 (assume @p1117 (forall @t1731 (= @t1566 (exists @t7 (and @t130 @t1730))))) % 6.62/6.87 (assume @p1118 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t1397)) % 6.62/6.87 (assume @p1119 (forall @t1733 (= (tptp.hBOOL (tptp.hAPP @t59 @t1704)) (exists @t7 (and @t144 @t1732))))) % 6.62/6.87 (assume @p1120 (forall @t1735 (= (= @t1704 @t53) @t1734))) % 6.62/6.87 (assume @p1121 (forall @t91 (and (=> @t89 (= @t1738 @t81)) (=> @t90 (= @t1738 @t82))))) % 6.62/6.87 (assume @p1122 (forall (@list @t45 @t8 @t39) (= (tptp.hAPP @t1696 (tptp.hAPP @t1739 @t53)) @t53))) % 6.62/6.87 (assume @p1123 (forall @t1740 (= (= @t53 @t1704) @t1734))) % 6.62/6.87 (assume @p1124 (forall @t1746 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t1745) @t74)) (forall @t7 (=> @t1743 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t1741) @t74))))))) % 6.62/6.87 (assume @p1125 (forall @t1749 (= (tptp.hAPP (tptp.hAPP @t1692 @t1748) @t74) (tptp.hAPP @t1718 @t1747)))) % 6.62/6.87 (assume @p1126 (forall (@list @t74 @t45 @t125 @t2 @t8 @t39) (= (tptp.hAPP @t55 @t1719) (tptp.hAPP @t1718 (tptp.hAPP (tptp.hAPP @t1750 @t55) @t74))))) % 6.62/6.87 (assume @p1127 (forall @t1754 (= (tptp.hAPP @t1696 @t1753) (tptp.hAPP @t1752 @t74)))) % 6.62/6.87 (assume @p1128 (forall @t1759 (= (tptp.hAPP @t1744 @t1758) (tptp.hAPP (tptp.hAPP @t1037 @t1745) (tptp.hAPP @t1744 @t74))))) % 6.62/6.87 (assume @p1129 (forall @t1760 (= (tptp.hAPP (tptp.hAPP @t1692 @t1131) @t662) (tptp.hAPP (tptp.hAPP @t1037 (tptp.hAPP @t1696 @t662)) (tptp.hAPP @t1693 @t662))))) % 6.62/6.87 (assume @p1130 (forall @t1765 (= @t1764 @t1762))) % 6.62/6.87 (assume @p1131 (forall @t1765 (= @t1769 @t1767))) % 6.62/6.87 (assume @p1132 (forall @t1770 (= @t1762 @t1764))) % 6.62/6.87 (assume @p1133 (forall @t1771 (= (tptp.hAPP @t1576 @t1745) (tptp.hAPP @t1744 (tptp.hAPP (tptp.hAPP @t1763 @t1576) @t45))))) % 6.62/6.87 (assume @p1134 (forall @t1772 (= @t1767 @t1769))) % 6.62/6.87 (assume @p1135 (forall @t1779 (= (tptp.hAPP (tptp.hAPP @t1551 @t1745) (tptp.hAPP @t1777 @t74)) (tptp.hAPP @t1744 (tptp.hAPP (tptp.hAPP @t1778 @t1777) (tptp.hAPP (tptp.hAPP @t1775 (tptp.hAPP @t1774 @t1768)) @t74)))))) % 6.62/6.87 (assume @p1136 (forall @t1786 (=> @t1785 (= (tptp.hAPP @t1781 (tptp.hAPP (tptp.hAPP @t1784 @t1783) @t2)) (tptp.hAPP @t1783 (tptp.hAPP (tptp.hAPP @t1782 @t1781) @t435)))))) % 6.62/6.87 (assume @p1137 (forall @t1788 (=> @t1785 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t39 @t439) @t45) @t2) @t60) (tptp.hAPP @t1781 @t1787))))) % 6.62/6.87 (assume @p1138 (forall @t1765 (= @t1790 @t1789))) % 6.62/6.87 (assume @p1139 (forall @t1772 (= @t1789 @t1790))) % 6.62/6.87 (assume @p1140 (forall @t1792 (= (tptp.hAPP @t1530 @t1719) (tptp.hAPP @t1718 @t1791)))) % 6.62/6.87 (assume @p1141 (forall @t1795 (=> @t1794 (= (tptp.hAPP @t1558 @t1793) (tptp.hAPP @t162 @t1559))))) % 6.62/6.87 (assume @p1142 (forall @t1796 (=> @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t504 @t1561) @t1559))))) % 6.62/6.87 (assume @p1143 (forall @t1800 (=> @t1799 (= (tptp.hAPP (tptp.hAPP @t1129 @t1798) @t1797) @t1797)))) % 6.62/6.87 (assume @p1144 (forall @t1803 (and (=> @t1711 (= @t1802 @t1529)) (=> @t1712 (= @t1802 @t1801))))) % 6.62/6.87 (assume @p1145 (forall @t118 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t52) @t45) @t214) @t45))) % 6.62/6.87 (assume @p1146 (forall @t1803 (and (=> @t1711 (= @t1801 @t81)) (=> @t1712 (= @t1801 @t1802))))) % 6.62/6.87 (assume @p1147 (forall (@list @t1426 @t662 @t45 @t39 @t8) (=> @t1785 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 (tptp.hAPP @t1781 @t662)) @t1426)) (forall @t7 (=> @t144 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t1804) @t1426)))))))) % 6.62/6.87 (assume @p1148 (forall (@list @t2 @t45 @t39 @t13 @t8) (=> @t1805 (= (tptp.hBOOL (tptp.hAPP @t713 (tptp.hAPP @t1781 @t2))) (exists @t7 (and @t144 (tptp.hBOOL (tptp.hAPP @t713 @t5)))))))) % 6.62/6.87 (assume @p1149 (forall @t1713 (and (=> @t1711 (= @t1809 @t74)) (=> @t1712 (= @t1809 @t1808))))) % 6.62/6.87 (assume @p1150 (forall @t1713 (and (=> @t1711 (= @t1709 @t45)) (=> @t1712 (= @t1709 @t1710))))) % 6.62/6.87 (assume @p1151 (forall @t1713 (and (=> @t1711 (= @t1808 @t81)) (=> @t1712 (= @t1808 @t1809))))) % 6.62/6.87 (assume @p1152 (forall @t1815 (=> @t816 (=> @t823 (=> @t1547 (=> @t1814 (= (tptp.hAPP @t1810 @t1812) (tptp.hAPP (tptp.hAPP @t812 @t1811) (tptp.hAPP @t1810 @t1540))))))))) % 6.62/6.87 (assume @p1153 (forall @t1815 (=> @t816 (=> @t823 (=> @t1547 (=> @t1814 (= (tptp.hAPP @t974 @t1812) (tptp.hAPP (tptp.hAPP @t812 @t1539) @t1541)))))))) % 6.62/6.87 (assume @p1154 (forall @t1555 (=> @t816 (=> @t50 (=> @t260 (=> (forall @t7 (=> @t1816 (= @t4 @t1349))) @t1688)))))) % 6.62/6.87 (assume @p1155 (forall @t520 (=> @t1090 (=> @t50 (=> @t88 (and (=> @t242 (= @t1818 @t60)) (=> @t243 (= @t1818 @t1817)))))))) % 6.62/6.87 (assume @p1156 (forall @t1351 (=> @t1538 (=> @t50 (= @t1823 (tptp.hAPP (tptp.hAPP @t1820 (tptp.c_Orderings_Otop__class_Otop @t39)) @t45)))))) % 6.62/6.87 (assume @p1157 (forall @t520 (=> @t50 (=> @t88 (= @t1824 @t1014))))) % 6.62/6.87 (assume @p1158 (forall @t118 (=> @t1785 (=> @t50 (= @t1825 (tptp.hAPP (tptp.hAPP @t1655 @t1084) @t45)))))) % 6.62/6.87 (assume @p1159 (forall (@list @t215 @t447 @t45 @t8) (=> @t1831 (=> @t1830 @t1827)))) % 6.62/6.87 (assume @p1160 (forall @t1834 (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t1833 @t662)) @t1832)) (tptp.hBOOL (tptp.hAPP @t42 (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t662)))))) % 6.62/6.87 (assume @p1161 (forall @t1839 (=> @t1838 (=> @t67 @t1563)))) % 6.62/6.87 (assume @p1162 (forall @t1839 (=> @t1838 (=> (not @t1563) @t128)))) % 6.62/6.87 (assume @p1163 (forall @t1846 (=> @t1845 (=> @t1841 @t1840)))) % 6.62/6.87 (assume @p1164 (forall @t1846 (=> @t1845 (=> (not @t1840) (not @t1841))))) % 6.62/6.87 (assume @p1165 (forall @t1849 (=> @t1848 (=> @t67 @t1567)))) % 6.62/6.87 (assume @p1166 (forall @t1849 (=> @t1848 (=> (not @t1567) @t128)))) % 6.62/6.87 (assume @p1167 (forall (@list @t45 @t39 @t1742 @t8) (=> (exists @t7 (and @t1852 @t1851)) (tptp.hBOOL (tptp.hAPP @t41 @t1850))))) % 6.62/6.87 (assume @p1168 (forall @t1227 (=> @t1214 @t1856))) % 6.62/6.87 (assume @p1169 (forall @t1237 (tptp.hBOOL (tptp.hAPP @t1370 @t1853)))) % 6.62/6.87 (assume @p1170 (forall @t1765 (= (tptp.hAPP @t1861 @t1860) (tptp.hAPP (tptp.hAPP @t1551 (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t1859)) (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t1858))))) % 6.62/6.87 (assume @p1171 (forall @t1788 (=> @t1785 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t39 @t439) @t45) @t2) @t60) (tptp.hAPP @t1863 @t1787))))) % 6.62/6.87 (assume @p1172 (forall @t258 (= (tptp.hAPP @t1038 @t1865) (tptp.hAPP (tptp.hAPP @t1864 @t74) @t1038)))) % 6.62/6.87 (assume @p1173 (forall @t1237 (not (= @t1211 @t1853)))) % 6.62/6.87 (assume @p1174 (forall @t1237 (not (= @t1853 @t1211)))) % 6.62/6.87 (assume @p1175 (forall (@list @t1866 @t1867) (= (= @t1868 (tptp.hAPP tptp.c_Nat_OSuc @t1866)) (= @t1867 @t1866)))) % 6.62/6.87 (assume @p1176 (forall @t1375 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t371) (tptp.hAPP tptp.c_Nat_OSuc @t381)) @t398))) % 6.62/6.87 (assume @p1177 (forall @t1786 (=> @t1785 (= (tptp.hAPP @t1863 (tptp.hAPP (tptp.hAPP @t1784 @t1869) @t2)) (tptp.hAPP @t1869 (tptp.hAPP (tptp.hAPP @t1782 @t1863) @t435)))))) % 6.62/6.87 (assume @p1178 (forall @t1227 (=> @t1856 @t1214))) % 6.62/6.87 (assume @p1179 (forall @t1227 (=> @t1870 @t1214))) % 6.62/6.87 (assume @p1180 (forall @t1227 (=> @t1871 (=> @t1226 @t1258)))) % 6.62/6.87 (assume @p1181 (forall @t1270 (=> @t1366 (=> @t1220 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1872) @t1216)))))) % 6.62/6.87 (assume @p1182 (forall @t1227 (=> @t1214 (=> (not (= @t1854 @t1211)) @t1870)))) % 6.62/6.87 (assume @p1183 (forall @t1227 (=> @t1214 @t1871))) % 6.62/6.87 (assume @p1184 (forall @t1240 (=> (not @t1376) (=> (tptp.hBOOL (tptp.hAPP @t1370 @t1854)) @t1258)))) % 6.62/6.87 (assume @p1185 (forall @t1878 (=> @t1877 @t1876))) % 6.62/6.87 (assume @p1186 (forall @t1251 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1874) @t1879)) @t1198))) % 6.62/6.87 (assume @p1187 (forall @t1251 (= @t1880 @t1356))) % 6.62/6.87 (assume @p1188 (forall @t1251 (= (not @t1198) @t1875))) % 6.62/6.87 (assume @p1189 (forall @t1227 (= @t1882 @t1881))) % 6.62/6.87 (assume @p1190 (forall @t1227 (= @t1883 @t1881))) % 6.62/6.87 (assume @p1191 (forall @t1227 (= @t1883 @t1882))) % 6.62/6.87 (assume @p1192 (forall @t1227 (=> @t1884 @t1254))) % 6.62/6.87 (assume @p1193 (forall @t1227 (=> @t1885 (=> (not @t1254) (= @t793 @t1853))))) % 6.62/6.87 (assume @p1194 (forall @t1227 (=> @t1254 @t1885))) % 6.62/6.87 (assume @p1195 (forall @t1878 (= (tptp.hBOOL (tptp.hAPP @t1888 @t1874)) @t1887))) % 6.62/6.87 (assume @p1196 (forall @t1251 (= @t1889 (or @t1250 (= @t307 @t1879))))) % 6.62/6.87 (assume @p1197 (forall @t1251 (= @t1891 @t1890))) % 6.62/6.87 (assume @p1198 (forall @t1237 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1853) @t1211))))) % 6.62/6.87 (assume @p1199 (forall @t1294 (= (tptp.hAPP (tptp.hAPP @t467 @t1893) (tptp.hAPP tptp.c_Nat_OSuc @t1216)) (tptp.hAPP (tptp.hAPP @t467 @t1222) @t1216)))) % 6.62/6.87 (assume @p1200 (forall @t1227 (= (tptp.hAPP @t1892 @t1853) @t1222))) % 6.62/6.87 (assume @p1201 (forall @t1207 (= (= @t1897 @t1896) @t1288))) % 6.62/6.87 (assume @p1202 (forall @t54 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t1899) @t53))) % 6.62/6.87 (assume @p1203 (forall @t118 (=> @t1785 (=> @t50 (=> @t90 (= @t1818 @t1825)))))) % 6.62/6.87 (assume @p1204 (forall @t261 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1902 @t74) @t45)) (tptp.hBOOL (tptp.hAPP @t1901 @t1865))))) % 6.62/6.87 (assume @p1205 (forall @t261 (=> @t1904 @t1903))) % 6.62/6.87 (assume @p1206 (forall @t54 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t1905) @t1021))) % 6.62/6.87 (assume @p1207 (forall @t258 (= @t1553 (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t1907)))) % 6.62/6.87 (assume @p1208 (forall @t140 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t1908) (tptp.hAPP (tptp.hAPP @t1551 @t13) @t1865)))) % 6.62/6.87 (assume @p1209 (forall @t258 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t1910) (tptp.hAPP (tptp.hAPP @t1551 @t1900) @t1865)))) % 6.62/6.87 (assume @p1210 (forall @t1733 (= @t1845 (forall @t7 (=> @t144 @t1732))))) % 6.62/6.87 (assume @p1211 (forall (@list @t74 @t13 @t447 @t8 @t39) (= @t1913 @t1912))) % 6.62/6.87 (assume @p1212 (forall (@list @t74 @t447 @t39 @t13 @t8) (= @t1912 @t1913))) % 6.62/6.87 (assume @p1213 (forall @t1771 (= (tptp.hBOOL (tptp.hAPP @t377 @t1915)) (forall @t7 (=> @t1743 (tptp.hBOOL (tptp.hAPP @t377 @t1741))))))) % 6.62/6.87 (assume @p1214 (forall @t1735 (= (= @t1844 @t1021) @t1916))) % 6.62/6.87 (assume @p1215 (forall @t1740 (= (= @t1021 @t1844) @t1916))) % 6.62/6.87 (assume @p1216 (forall @t1754 (= (tptp.hAPP @t1843 @t1753) (tptp.hAPP (tptp.hAPP @t1917 @t1751) @t74)))) % 6.62/6.87 (assume @p1217 (forall @t1749 (= (tptp.hAPP (tptp.hAPP @t1842 @t1748) @t74) (tptp.hAPP @t1918 @t1747)))) % 6.62/6.87 (assume @p1218 (forall @t1779 (= (tptp.hAPP (tptp.hAPP @t1037 @t1915) (tptp.hAPP @t1919 @t74)) (tptp.hAPP @t1914 (tptp.hAPP (tptp.hAPP @t1778 @t1919) (tptp.hAPP (tptp.hAPP @t1775 (tptp.hAPP @t1774 @t1756)) @t74)))))) % 6.62/6.87 (assume @p1219 (forall @t1772 (= @t1921 @t1920))) % 6.62/6.87 (assume @p1220 (forall @t1771 (= (tptp.hAPP @t1074 @t1915) (tptp.hAPP @t1914 (tptp.hAPP (tptp.hAPP @t1763 @t1074) @t45))))) % 6.62/6.87 (assume @p1221 (forall @t1770 (= @t1923 @t1922))) % 6.62/6.87 (assume @p1222 (forall @t1765 (= @t1920 @t1921))) % 6.62/6.87 (assume @p1223 (forall @t1765 (= @t1922 @t1923))) % 6.62/6.87 (assume @p1224 (forall @t1759 (= (tptp.hAPP @t1914 @t1860) (tptp.hAPP (tptp.hAPP @t1551 @t1915) (tptp.hAPP @t1914 @t74))))) % 6.62/6.87 (assume @p1225 (forall @t1726 (= (tptp.hAPP @t1843 (tptp.hAPP (tptp.hAPP @t1725 (tptp.hAPP (tptp.hAPP @t1724 @t1917) @t74)) @t447)) (tptp.hAPP (tptp.hAPP @t1917 @t1722) @t447)))) % 6.62/6.87 (assume @p1226 (forall @t1720 (= (tptp.hAPP (tptp.hAPP @t1842 @t1719) @t447) (tptp.hAPP @t1918 (tptp.hAPP (tptp.hAPP @t1716 (tptp.hAPP (tptp.hAPP @t1715 @t1842) @t74)) @t447))))) % 6.62/6.87 (assume @p1227 (forall @t1227 (= (tptp.hAPP (tptp.hAPP @t1397 @t1854) @t1853) (tptp.hAPP tptp.c_Nat_OSuc @t1398)))) % 6.62/6.87 (assume @p1228 (forall @t1227 (= (tptp.hAPP (tptp.hAPP @t1393 @t1854) @t1853) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1393 @t793) @t1211))))) % 6.62/6.87 (assume @p1229 (forall @t1792 (= (tptp.hAPP @t1530 @t1925) (tptp.hAPP @t1918 @t1791)))) % 6.62/6.87 (assume @p1230 (forall (@list @t45 @t57 @t8) (=> @t1785 (= (tptp.hBOOL (tptp.hAPP @t894 @t1825)) @t1012)))) % 6.62/6.87 (assume @p1231 (forall (@list @t13 @t199 @t8) (=> @t1805 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t199)) @t13)) (exists @t7 (and @t1926 (tptp.hBOOL (tptp.hAPP @t952 @t13)))))))) % 6.62/6.87 (assume @p1232 (forall (@list @t1196 @t13 @t1927 @t1928 @t8) (= (tptp.hAPP @t1929 @t1879) (tptp.hAPP (tptp.hAPP @t1927 @t13) (tptp.hAPP @t1929 @t1196))))) % 6.62/6.87 (assume @p1233 (forall @t1287 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t221))) % 6.62/6.87 (assume @p1234 (forall @t1932 (=> @t756 (= @t1931 @t1930)))) % 6.62/6.87 (assume @p1235 (forall @t1932 (=> @t756 (= @t1930 @t1931)))) % 6.62/6.87 (assume @p1236 (forall @t1932 (=> @t756 (= (tptp.hAPP @t1476 @t371) @t1931)))) % 6.62/6.87 (assume @p1237 (forall @t1506 (=> @t1325 (= @t1933 @t1519)))) % 6.62/6.87 (assume @p1238 (forall @t1506 (=> @t1934 (= @t1933 @t1517)))) % 6.62/6.87 (assume @p1239 (forall @t1936 (tptp.hBOOL (tptp.hAPP @t1358 (tptp.hAPP tptp.c_Nat_OSuc @t1935))))) % 6.62/6.87 (assume @p1240 (forall @t1936 (tptp.hBOOL (tptp.hAPP @t1358 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1238 @t1261)))))) % 6.62/6.87 (assume @p1241 (forall @t1251 (= @t1198 (exists @t1248 (= @t1196 (tptp.hAPP tptp.c_Nat_OSuc @t1247)))))) % 6.62/6.87 (assume @p1242 (forall (@list @t662 @t45 @t39 @t1426 @t8) (=> @t1785 (= (tptp.hBOOL (tptp.hAPP @t1937 (tptp.hAPP @t1863 @t662))) (forall @t7 (=> @t144 (tptp.hBOOL (tptp.hAPP @t1937 @t1804)))))))) % 6.62/6.87 (assume @p1243 (forall @t1227 (=> @t1884 @t1214))) % 6.62/6.87 (assume @p1244 (forall @t1251 (=> @t1250 @t1876))) % 6.62/6.87 (assume @p1245 (forall @t1227 (=> @t1214 @t1884))) % 6.62/6.87 (assume @p1246 (forall @t1227 (=> @t1254 @t1871))) % 6.62/6.87 (assume @p1247 (forall @t1251 (= @t1938 @t1198))) % 6.62/6.87 (assume @p1248 (forall @t1251 (= @t1880 @t1250))) % 6.62/6.87 (assume @p1249 (forall @t1878 (= @t1372 @t1890))) % 6.62/6.87 (assume @p1250 (forall (@list @t13 @t2 @t45 @t39 @t8) (=> @t1805 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 (tptp.hAPP @t1863 @t2)) @t13)) (exists @t7 (and @t144 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t5) @t13)))))))) % 6.62/6.87 (assume @p1251 (forall @t1795 (=> @t1794 (= (tptp.hAPP @t1836 @t1793) (tptp.hAPP @t162 @t1837))))) % 6.62/6.87 (assume @p1252 (forall @t1227 (tptp.hBOOL (tptp.hAPP @t1939 @t1854)))) % 6.62/6.87 (assume @p1253 (forall @t1207 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1897) @t1896)) @t1198))) % 6.62/6.87 (assume @p1254 (forall @t1796 (=> @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t504 @t1837) @t1561))))) % 6.62/6.87 (assume @p1255 (forall @t1652 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1940 @t1651) @t60)) (tptp.hBOOL (tptp.hAPP @t62 (tptp.hAPP @t1940 @t725)))))) % 6.62/6.87 (assume @p1256 (forall @t1227 (= (tptp.hAPP (tptp.hAPP @t1302 @t1854) @t1211) (tptp.hAPP @t1224 @t1445)))) % 6.62/6.87 (assume @p1257 (forall @t1227 (= (tptp.hAPP @t1311 @t1853) (tptp.hAPP @t1238 @t1445)))) % 6.62/6.87 (assume @p1258 (forall @t1800 (=> @t1799 (= (tptp.hAPP (tptp.hAPP @t1583 @t1798) @t1850) @t1850)))) % 6.62/6.87 (assume @p1259 (forall @t1703 (=> @t1538 (=> @t90 (= (tptp.hAPP @t1822 @t1702) @t662))))) % 6.62/6.87 (assume @p1260 (forall @t1240 (=> @t1252 (= @t1893 (tptp.hAPP tptp.c_Nat_OSuc @t1222))))) % 6.62/6.87 (assume @p1261 (forall @t1207 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1897) @t1896)) @t1250))) % 6.62/6.87 (assume @p1262 (forall @t91 (and (=> @t89 (= @t1941 @t1058)) (=> @t90 (= @t1941 @t82))))) % 6.62/6.87 (assume @p1263 (forall (@list @t74 @t8 @t39) (= (tptp.hAPP (tptp.hAPP @t1842 @t81) @t74) @t1021))) % 6.62/6.87 (assume @p1264 (forall @t1713 (and (=> @t1711 (= @t1946 @t74)) (=> @t1712 (= @t1946 @t1944))))) % 6.62/6.87 (assume @p1265 (forall @t1713 (and (=> @t1711 (= @t1948 @t45)) (=> @t1712 (= @t1948 @t1947))))) % 6.62/6.87 (assume @p1266 (forall @t1706 (= (tptp.hAPP (tptp.hAPP @t1842 @t1705) @t74) (tptp.hAPP (tptp.hAPP @t1551 @t1561) @t1844)))) % 6.62/6.87 (assume @p1267 (forall @t1760 (= (tptp.hAPP (tptp.hAPP @t1842 @t1131) @t662) (tptp.hAPP (tptp.hAPP @t1551 (tptp.hAPP @t1843 @t662)) (tptp.hAPP (tptp.hAPP @t1842 @t74) @t662))))) % 6.62/6.87 (assume @p1268 (forall @t1237 (= (tptp.hAPP (tptp.hAPP @t467 @t1853) @t1193) @t1211))) % 6.62/6.87 (assume @p1269 (forall @t1765 (= @t1950 @t1949))) % 6.62/6.87 (assume @p1270 (forall @t1770 (= @t1949 @t1950))) % 6.62/6.87 (assume @p1271 (forall @t258 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP (tptp.hAPP @t1037 @t1900) @t1865)) (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t1952))))) % 6.62/6.87 (assume @p1272 (forall @t1740 (= (tptp.hAPP @t826 @t1704) (tptp.hAPP @t1843 @t1953)))) % 6.62/6.87 (assume @p1273 (forall @t1740 (= (tptp.hAPP @t826 @t1844) (tptp.hAPP @t1696 @t1953)))) % 6.62/6.87 (assume @p1274 (forall @t165 (=> @t1090 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t164) @t60)))) % 6.62/6.87 (assume @p1275 (forall @t1954 (= @t1371 @t1888))) % 6.62/6.87 (assume @p1276 (forall @t116 (=> @t1785 (=> @t88 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t1825) @t60)))))) % 6.62/6.87 (assume @p1277 (forall @t496 (=> @t1538 (=> @t352 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 (tptp.hAPP (tptp.hAPP @t1821 @t74) @t2)) @t1823)))))) % 6.62/6.87 (assume @p1278 (forall @t14 (=> @t1785 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t96) @t13)))) % 6.62/6.87 (assume @p1279 (forall @t54 (=> @t1785 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t53) @t1084)))) % 6.62/6.87 (assume @p1280 (forall @t54 (=> @t1785 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t1021) @t166)))) % 6.62/6.87 (assume @p1281 (forall @t133 (=> @t1785 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t48) (tptp.hAPP @t1658 @t1825))))) % 6.62/6.87 (assume @p1282 (forall @t1713 (and (=> @t1711 (= @t1944 @t1058)) (=> @t1712 (= @t1944 @t1946))))) % 6.62/6.87 (assume @p1283 (forall @t1713 (and (=> @t1711 (= @t1947 @t1058)) (=> @t1712 (= @t1947 @t1948))))) % 6.62/6.87 (assume @p1284 (forall @t1506 (=> @t1335 (=> @t1491 (tptp.hBOOL (tptp.hAPP @t1336 @t1933)))))) % 6.62/6.87 (assume @p1285 (forall @t1713 (and (=> @t1711 (= @t1957 (tptp.hAPP (tptp.hAPP @t262 @t1058) @t74))) (=> @t1712 (= @t1957 @t1956))))) % 6.62/6.87 (assume @p1286 (forall @t1713 (and (=> @t1711 (= @t1956 @t1058)) (=> @t1712 (= @t1956 @t1957))))) % 6.62/6.87 (assume @p1287 (forall @t1713 (and (=> @t1711 (= @t1959 @t45)) (=> @t1712 (= @t1959 @t1958))))) % 6.62/6.87 (assume @p1288 (forall @t1962 (=> @t1409 (= (tptp.hAPP @t1221 @t1961) (tptp.hAPP @t1405 @t1960))))) % 6.62/6.87 (assume @p1289 (forall @t1962 (=> @t1409 (= (tptp.hAPP (tptp.hAPP @t467 @t1961) @t793) (tptp.hAPP (tptp.hAPP @t467 @t1960) @t1404))))) % 6.62/6.87 (assume @p1290 (forall @t1701 (=> @t1538 (=> @t1700 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 (tptp.hAPP @t1822 @t662)) @t1699)))))) % 6.62/6.87 (assume @p1291 (forall @t51 (=> @t1090 (=> @t50 (=> @t67 (= (tptp.hAPP @t1170 @t1818) @t13)))))) % 6.62/6.87 (assume @p1292 (forall @t520 (=> @t1090 (=> @t50 (=> @t88 (= @t1963 @t1818)))))) % 6.62/6.87 (assume @p1293 (forall @t118 (=> @t1090 (=> @t50 (= @t1818 @t1666))))) % 6.62/6.87 (assume @p1294 (forall @t1713 (and (=> @t1711 (= @t1958 @t1058)) (=> @t1712 (= @t1958 @t1959))))) % 6.62/6.87 (assume @p1295 (forall @t520 (=> @t50 (and (=> @t88 (= @t1143 @t1014)) @t1964)))) % 6.62/6.87 (assume @p1296 (forall @t520 (=> @t50 @t1964))) % 6.62/6.87 (assume @p1297 (forall @t147 (=> @t1785 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t154) @t1665)))) % 6.62/6.87 (assume @p1298 (forall @t258 (=> @t1785 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t1588 @t74) @t1825) (tptp.hAPP (tptp.hAPP @t1655 @t74) @t45)))))) % 6.62/6.87 (assume @p1299 (forall @t520 (=> @t1090 (=> @t50 @t1966)))) % 6.62/6.87 (assume @p1300 (forall @t258 (=> @t1090 (=> @t50 (=> @t542 (=> @t378 (= (tptp.hAPP (tptp.hAPP @t1588 @t1967) @t1818) @t1818))))))) % 6.62/6.87 (assume @p1301 (forall @t258 (=> @t1090 (=> @t50 (=> @t90 (=> @t260 (=> @t542 @t1970))))))) % 6.62/6.87 (assume @p1302 (forall @t118 (=> @t1090 (=> @t50 (=> @t90 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t1818) @t1470))))))) % 6.62/6.87 (assume @p1303 (forall @t51 (=> @t1090 (=> @t50 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t48) (tptp.hAPP (tptp.hAPP @t1655 @t13) @t45)))))) % 6.62/6.87 (assume @p1304 (forall @t496 (=> @t1538 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t1819 @t74) @t1823) (tptp.hAPP (tptp.hAPP @t1820 @t74) @t45)))))) % 6.62/6.87 (assume @p1305 (forall @t520 (=> @t50 (= @t1143 @t1824)))) % 6.62/6.87 (assume @p1306 (forall @t520 (=> @t1090 (=> @t50 (=> @t136 @t1966))))) % 6.62/6.87 (assume @p1307 (forall @t520 (=> @t1090 (=> @t50 (and (=> @t242 (= @t1965 @t60)) (=> @t243 (= @t1965 @t1817))))))) % 6.62/6.87 (assume @p1308 (forall @t258 (=> @t1090 (=> @t50 (=> @t260 (=> @t1685 (= (tptp.hAPP (tptp.hAPP @t1588 @t1969) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t1553)) @t1968))))))) % 6.62/6.87 (assume @p1309 (forall @t258 (=> @t1090 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (=> @t1554 @t1970)))))))) % 6.62/6.87 (assume @p1310 (forall @t520 (=> @t1090 (=> @t50 (=> @t136 (= @t1965 (tptp.hAPP (tptp.hAPP @t1655 @t60) @t45))))))) % 6.62/6.87 (assume @p1311 (forall @t1227 (= (tptp.hAPP @t1221 @t1853) (tptp.hAPP (tptp.hAPP @t467 @t1971) @t1211)))) % 6.62/6.87 (assume @p1312 (forall @t1237 (= @t1853 @t1972))) % 6.62/6.87 (assume @p1313 (forall @t1237 (= @t1853 @t1973))) % 6.62/6.87 (assume @p1314 (forall @t118 (=> @t1090 (=> @t50 (=> @t90 (=> (forall @t210 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t1974) @t208))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t1818) @t45)))))))) % 6.62/6.87 (assume @p1315 (forall @t1064 (=> @t1106 (=> (not (= (tptp.hAPP @t1147 @t1058) @t1976)) @t1056)))) % 6.62/6.87 (assume @p1316 (forall @t1007 (=> @t1090 (=> (forall @t210 (= (tptp.hAPP @t38 @t1974) (tptp.hAPP (tptp.hAPP @t1588 @t227) @t226))) (=> @t225 (=> @t224 (= (tptp.hAPP @t38 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t221)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t223)))))))) % 6.62/6.87 (assume @p1317 (forall @t1237 (not (tptp.hBOOL (tptp.hAPP @t1370 @t1975))))) % 6.62/6.87 (assume @p1318 (forall @t1237 (tptp.hBOOL (tptp.hAPP @t1977 @t1211)))) % 6.62/6.87 (assume @p1319 (forall @t1237 (tptp.hBOOL (tptp.hAPP @t1978 @t1853)))) % 6.62/6.87 (assume @p1320 (forall @t825 (= @t1980 (tptp.hAPP (tptp.hAPP @t1864 @t199) @t1979)))) % 6.62/6.87 (assume @p1321 (forall @t1735 (= @t1844 @t1982))) % 6.62/6.87 (assume @p1322 (forall @t1983 (= @t1982 @t1844))) % 6.62/6.87 (assume @p1323 (forall @t1731 (= @t1848 @t1984))) % 6.62/6.87 (assume @p1324 (forall @t1729 (= @t1838 (forall @t7 (=> @t130 @t1728))))) % 6.62/6.87 (assume @p1325 (forall @t165 (=> (tptp.class_Groups_Ozero @t8) (= (= @t1985 @t60) @t1986)))) % 6.62/6.87 (assume @p1326 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t1975)) % 6.62/6.87 (assume @p1327 (forall @t1990 (=> (and @t1527 (tptp.class_Rings_Omult__zero @t8) (tptp.class_Rings_Ono__zero__divisors @t8) (tptp.class_Rings_Ozero__neq__one @t8)) (= (= @t1526 @t1985) (and @t1989 @t1988))))) % 6.62/6.87 (assume @p1328 (forall @t1524 (=> @t1996 (and (=> @t1994 (= @t1993 @t1322)) (=> @t1995 (= @t1993 @t1991)))))) % 6.62/6.87 (assume @p1329 (forall @t679 (=> @t1999 @t1998))) % 6.62/6.87 (assume @p1330 (forall @t679 (=> @t2000 @t1998))) % 6.62/6.87 (assume @p1331 (forall @t14 (=> @t824 (= (= @t1985 @t2001) @t1989)))) % 6.62/6.87 (assume @p1332 (forall @t679 (=> @t1999 @t2002))) % 6.62/6.87 (assume @p1333 (forall @t679 (=> @t2000 @t2002))) % 6.62/6.87 (assume @p1334 (forall @t679 (=> @t756 @t1998))) % 6.62/6.87 (assume @p1335 (forall @t679 (=> @t756 @t2002))) % 6.62/6.87 (assume @p1336 (forall @t98 (=> @t760 (= (= @t57 @t591) @t1989)))) % 6.62/6.87 (assume @p1337 (forall @t679 (=> @t2004 @t2003))) % 6.62/6.87 (assume @p1338 (forall @t679 (=> @t756 @t2003))) % 6.62/6.87 (assume @p1339 (forall @t679 (=> @t2004 @t2005))) % 6.62/6.87 (assume @p1340 (forall @t679 (=> @t756 @t2005))) % 6.62/6.87 (assume @p1341 (forall @t147 (=> (tptp.class_Rings_Oring__no__zero__divisors @t8) (= (= @t2007 @t1985) (or @t1989 @t2006))))) % 6.62/6.87 (assume @p1342 (forall @t621 (=> @t2013 (=> @t2012 (=> @t2010 (not @t2008)))))) % 6.62/6.87 (assume @p1343 (forall @t621 (=> @t2013 (=> @t2008 (or @t2011 @t2009))))) % 6.62/6.87 (assume @p1344 (forall @t679 (=> @t620 (= (tptp.hAPP @t622 @t1991) @t403)))) % 6.62/6.87 (assume @p1345 (forall @t679 (=> @t620 (= (tptp.hAPP @t622 @t403) @t1991)))) % 6.62/6.87 (assume @p1346 (forall @t147 (=> @t477 (= @t68 @t2014)))) % 6.62/6.87 (assume @p1347 (forall @t147 (=> @t832 (= @t2014 @t68)))) % 6.62/6.87 (assume @p1348 (forall @t1171 (=> @t2015 (not (= @t1991 @t1322))))) % 6.62/6.87 (assume @p1349 (forall @t1171 (=> @t2015 (not (= @t1322 @t1991))))) % 6.62/6.87 (assume @p1350 (forall @t14 (=> @t824 (= (= @t831 @t13) @t1989)))) % 6.62/6.87 (assume @p1351 (forall @t14 (=> @t832 (= (= @t831 @t1985) @t1989)))) % 6.62/6.87 (assume @p1352 (forall @t14 (=> @t824 (= (= @t13 @t831) @t1989)))) % 6.62/6.87 (assume @p1353 (forall @t14 (=> @t832 (= (= @t1985 @t831) (= @t1985 @t13))))) % 6.62/6.87 (assume @p1354 (forall @t1171 (=> @t620 (= (tptp.hAPP @t834 @t1991) @t1991)))) % 6.62/6.87 (assume @p1355 (forall @t1321 (not (= @t1854 @t1975)))) % 6.62/6.87 (assume @p1356 (forall @t1321 (not (= @t1975 @t1854)))) % 6.62/6.87 (assume @p1357 (forall (@list @t2016) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t2016) @t1975)))) % 6.62/6.87 (assume @p1358 (forall (@list @t2017) (not (= @t1975 (tptp.hAPP tptp.c_Nat_OSuc @t2017))))) % 6.62/6.87 (assume @p1359 (forall @t1237 (= (tptp.hAPP (tptp.hAPP @t2018 @t1976) @t1211) @t1976))) % 6.62/6.87 (assume @p1360 (forall (@list @t307 @t60) (= (= (tptp.hAPP @t2020 @t307) @t1976) (or @t2019 (= @t60 @t1976))))) % 6.62/6.87 (assume @p1361 (forall @t1506 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t372) (=> @t2012 (not (= @t1489 @t1991)))))) % 6.62/6.87 (assume @p1362 (forall @t2021 (= (tptp.hBOOL (tptp.hAPP @t1978 (tptp.hAPP @t2020 @t1196))) (or (tptp.hBOOL (tptp.hAPP @t1978 @t60)) @t1987)))) % 6.62/6.87 (assume @p1363 (forall @t2025 (=> (tptp.hBOOL (tptp.hAPP @t1978 @t1261)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t2024) @t2023)) @t1214)))) % 6.62/6.87 (assume @p1364 (forall @t1954 (= @t1988 @t2026))) % 6.62/6.87 (assume @p1365 (forall @t1227 (=> @t1214 @t1995))) % 6.62/6.87 (assume @p1366 (forall @t1237 (=> @t1995 @t2027))) % 6.62/6.87 (assume @p1367 (forall @t1227 (=> (= @t1239 @t793) @t1994))) % 6.62/6.87 (assume @p1368 (forall @t1251 (= (= @t2028 @t1975) (and @t2019 @t1987)))) % 6.62/6.87 (assume @p1369 (forall @t1321 (= (tptp.hAPP @t1238 @t1975) @t793))) % 6.62/6.87 (assume @p1370 (forall @t1237 (= (tptp.hAPP (tptp.hAPP @t1223 @t1975) @t1211) @t1211))) % 6.62/6.87 (assume @p1371 (forall @t1954 (= (tptp.hBOOL (tptp.hAPP @t1886 @t1975)) @t1987))) % 6.62/6.87 (assume @p1372 (forall @t1237 (= (tptp.hAPP (tptp.hAPP @t467 @t1975) @t1211) @t1975))) % 6.62/6.87 (assume @p1373 (forall @t1321 (= (tptp.hAPP @t1221 @t1975) @t793))) % 6.62/6.87 (assume @p1374 (forall @t1321 (= (tptp.hAPP @t1221 @t793) @t1975))) % 6.62/6.87 (assume @p1375 (forall @t1227 (=> @t2029 (=> (= @t1396 @t1975) @t1258)))) % 6.62/6.87 (assume @p1376 (forall @t1207 (= @t2034 (or @t2030 @t1288)))) % 6.62/6.87 (assume @p1377 (forall @t1237 (= (tptp.hAPP (tptp.hAPP @t1302 @t1975) @t1211) @t1975))) % 6.62/6.87 (assume @p1378 (forall @t1321 (= (tptp.hAPP @t1311 @t1975) @t1975))) % 6.62/6.87 (assume @p1379 (forall @t1251 (= (= @t1304 @t1975) (or @t2019 @t1987)))) % 6.62/6.87 (assume @p1380 (forall @t1207 (= @t2034 @t2035))) % 6.62/6.87 (assume @p1381 (forall @t1292 (= (= @t2038 @t2037) @t2035))) % 6.62/6.87 (assume @p1382 (forall @t198 (=> @t2042 (= (= @t2041 @t1985) @t2040)))) % 6.62/6.87 (assume @p1383 (forall @t1237 (= (tptp.hAPP (tptp.hAPP @t1397 @t1975) @t1211) @t1975))) % 6.62/6.87 (assume @p1384 (forall @t1237 (= (tptp.hAPP @t2043 @t1975) @t1975))) % 6.62/6.87 (assume @p1385 (forall @t1237 (= (tptp.hAPP (tptp.hAPP @t1393 @t1975) @t1211) @t1211))) % 6.62/6.87 (assume @p1386 (forall @t1237 (= (tptp.hAPP @t1394 @t1975) @t1211))) % 6.62/6.87 (assume @p1387 (forall @t2047 (=> @t1335 (=> (= @t1489 @t1521) (=> @t2046 (=> @t2045 (=> @t2027 @t417))))))) % 6.62/6.87 (assume @p1388 (forall @t1333 (=> @t444 (= (tptp.hAPP (tptp.hAPP @t436 @t2048) @t45) @t1985)))) % 6.62/6.87 (assume @p1389 (forall (@list @t13 @t1927 @t1928 @t8) (= (tptp.hAPP @t1929 @t1975) @t1928))) % 6.62/6.87 (assume @p1390 (forall @t1522 (=> @t1335 (=> @t698 (=> @t2046 (=> @t2027 @t2049)))))) % 6.62/6.87 (assume @p1391 (forall @t198 (=> @t2042 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t2041) @t1985)) @t2040)))) % 6.62/6.87 (assume @p1392 (forall @t386 (=> @t2052 (tptp.hBOOL (tptp.hAPP @t2044 @t2051))))) % 6.62/6.87 (assume @p1393 (forall @t198 (=> @t2042 (= (tptp.hBOOL (tptp.hAPP @t2055 @t2041)) @t2054)))) % 6.62/6.87 (assume @p1394 (forall @t386 (=> @t2052 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t2051) @t1991)))))) % 6.62/6.87 (assume @p1395 (forall @t621 (=> @t2058 (=> @t2057 (=> @t2056 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t585) @t1991))))))) % 6.62/6.87 (assume @p1396 (forall @t2061 (=> @t2058 (=> @t2060 (=> @t410 @t2059))))) % 6.62/6.87 (assume @p1397 (forall @t416 (=> @t2058 (=> @t2046 (=> @t418 @t2059))))) % 6.62/6.87 (assume @p1398 (forall @t198 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t8) (=> (tptp.hBOOL (tptp.hAPP @t2064 @t60)) (=> (tptp.hBOOL (tptp.hAPP @t2064 @t109)) (= (= @t2063 @t1985) @t2040)))))) % 6.62/6.87 (assume @p1399 (forall @t621 (=> @t2058 (=> @t2046 (=> @t2045 (tptp.hBOOL (tptp.hAPP @t2044 @t585))))))) % 6.62/6.87 (assume @p1400 (forall @t14 (=> @t824 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t2001) @t1985)) @t2065)))) % 6.62/6.87 (assume @p1401 (forall @t14 (=> @t824 (= (tptp.hBOOL (tptp.hAPP @t2064 @t2001)) @t2066)))) % 6.62/6.87 (assume @p1402 (forall @t679 (=> @t2052 (tptp.hBOOL (tptp.hAPP @t2044 @t678))))) % 6.62/6.87 (assume @p1403 (forall @t147 (=> @t2042 (= (tptp.hBOOL (tptp.hAPP @t2064 @t2007)) @t2069)))) % 6.62/6.87 (assume @p1404 (forall @t147 (=> @t2042 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t2007) @t1985)) @t2070)))) % 6.62/6.87 (assume @p1405 (forall @t621 (=> @t2072 (=> @t2046 (=> @t2045 @t2071))))) % 6.62/6.87 (assume @p1406 (forall @t621 (=> @t2072 (=> @t2046 (=> @t2056 @t2073))))) % 6.62/6.87 (assume @p1407 (forall @t621 (=> @t2072 (=> @t2046 (=> @t2056 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t785) @t1991))))))) % 6.62/6.87 (assume @p1408 (forall @t621 (=> @t2072 (=> @t2057 (=> @t2045 @t2073))))) % 6.62/6.87 (assume @p1409 (forall @t621 (=> @t2074 (=> @t2057 (=> @t2056 @t2071))))) % 6.62/6.87 (assume @p1410 (forall @t416 (=> @t2077 (=> @t414 (=> @t2060 @t2076))))) % 6.62/6.87 (assume @p1411 (forall @t416 (=> @t2077 @t2082))) % 6.62/6.87 (assume @p1412 (forall @t416 (=> (tptp.class_Rings_Oordered__comm__semiring @t372) @t2082))) % 6.62/6.87 (assume @p1413 (forall @t411 (=> @t2074 (=> @t410 (=> @t2083 @t2076))))) % 6.62/6.87 (assume @p1414 (forall @t411 (=> @t2074 (=> @t410 (=> @t2083 @t2081))))) % 6.62/6.87 (assume @p1415 (forall @t612 (=> @t2077 (=> @t414 (=> @t610 (=> @t2046 @t2085)))))) % 6.62/6.87 (assume @p1416 (forall @t612 (=> @t2077 (=> @t414 (=> @t610 (=> @t2045 @t2085)))))) % 6.62/6.87 (assume @p1417 (forall @t621 (=> @t2074 (=> (or (and @t2046 @t2045) (and @t2057 @t2056)) @t2071)))) % 6.62/6.87 (assume @p1418 (forall @t621 (=> @t2072 (=> (or (and @t2046 @t2056) (and @t2057 @t2045)) @t2073)))) % 6.62/6.87 (assume @p1419 (forall @t14 (=> @t824 (= (tptp.hBOOL (tptp.hAPP @t2055 @t2001)) @t2086)))) % 6.62/6.87 (assume @p1420 (forall @t14 (=> @t824 @t2088))) % 6.62/6.87 (assume @p1421 (forall @t621 (=> @t2058 (=> @t2093 @t2092)))) % 6.62/6.87 (assume @p1422 (forall @t621 (=> @t2058 (=> @t2097 @t2096)))) % 6.62/6.87 (assume @p1423 (forall @t416 (=> @t1335 (=> @t2093 @t2099)))) % 6.62/6.87 (assume @p1424 (forall @t679 (=> @t2052 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t678) @t1991)))))) % 6.62/6.87 (assume @p1425 (forall @t617 (=> @t2042 (= (tptp.hBOOL (tptp.hAPP @t2104 @t757)) @t2103)))) % 6.62/6.87 (assume @p1426 (forall @t615 (=> @t2042 (= @t2108 @t2103)))) % 6.62/6.87 (assume @p1427 (forall @t615 (=> @t2042 (=> @t2102 (= @t2108 @t714))))) % 6.62/6.87 (assume @p1428 (forall @t621 (=> @t2110 (=> @t2093 (=> @t2091 @t2109))))) % 6.62/6.87 (assume @p1429 (forall @t621 (=> @t2110 (=> @t2093 (=> @t2095 @t2111))))) % 6.62/6.87 (assume @p1430 (forall @t621 (=> @t2110 (=> @t2093 (=> @t2095 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t785) @t1991))))))) % 6.62/6.87 (assume @p1431 (forall @t621 (=> @t2110 (=> @t2109 @t2112)))) % 6.62/6.87 (assume @p1432 (forall @t700 (=> @t2110 (=> (tptp.hBOOL (tptp.hAPP @t2089 @t785)) @t2112)))) % 6.62/6.87 (assume @p1433 (forall @t615 (=> @t2042 (=> @t2101 (= @t2108 @t2100))))) % 6.62/6.87 (assume @p1434 (forall @t621 (=> @t2110 (=> @t2097 (=> @t2091 @t2111))))) % 6.62/6.87 (assume @p1435 (forall @t621 (=> @t2113 (=> @t2097 (=> @t2095 @t2109))))) % 6.62/6.87 (assume @p1436 (forall @t416 (=> @t2110 (=> @t698 (=> @t2116 @t2115))))) % 6.62/6.87 (assume @p1437 (forall @t416 (=> @t2110 @t2118))) % 6.62/6.87 (assume @p1438 (forall @t416 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t372) @t2118))) % 6.62/6.87 (assume @p1439 (forall @t411 (=> @t2113 (=> @t695 (=> @t2119 @t2115))))) % 6.62/6.87 (assume @p1440 (forall @t411 (=> @t2113 (=> @t695 (=> @t2119 @t2117))))) % 6.62/6.87 (assume @p1441 (forall @t147 (=> @t568 (= @t565 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t566) @t1985)))))) % 6.62/6.87 (assume @p1442 (forall @t147 (=> @t568 (= @t714 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t566) @t1985)))))) % 6.62/6.87 (assume @p1443 (forall (@list @t608 @t404 @t407 @t403 @t2120 @t372) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t372) (=> (not (= @t2120 @t1991)) (=> (and @t417 (not (= @t404 @t608))) (not (= (tptp.hAPP @t583 (tptp.hAPP @t2121 @t404)) (tptp.hAPP @t580 (tptp.hAPP @t2121 @t608))))))))) % 6.62/6.87 (assume @p1444 (forall @t1171 (=> @t1335 (tptp.hBOOL (tptp.hAPP @t2044 @t1322))))) % 6.62/6.87 (assume @p1445 (forall @t1171 (=> @t1335 (not (tptp.hBOOL (tptp.hAPP @t1510 @t1991)))))) % 6.62/6.87 (assume @p1446 (forall @t1171 (=> @t1335 (tptp.hBOOL (tptp.hAPP @t2089 @t1322))))) % 6.62/6.87 (assume @p1447 (forall @t1171 (=> @t1335 (not (tptp.hBOOL (tptp.hAPP @t1336 @t1991)))))) % 6.62/6.87 (assume @p1448 (forall @t14 (=> @t568 (= (tptp.hBOOL (tptp.hAPP @t2064 @t831)) @t2065)))) % 6.62/6.87 (assume @p1449 (forall @t14 (=> @t824 (= (tptp.hBOOL (tptp.hAPP @t564 @t831)) @t2065)))) % 6.62/6.87 (assume @p1450 (forall @t14 (=> @t568 (= (tptp.hBOOL (tptp.hAPP @t896 @t1985)) @t2066)))) % 6.62/6.87 (assume @p1451 (forall @t14 (=> @t824 (= (tptp.hBOOL (tptp.hAPP @t896 @t13)) @t2066)))) % 6.62/6.87 (assume @p1452 (forall @t14 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP @t713 @t831)) @t2087)))) % 6.62/6.87 (assume @p1453 (forall @t14 (=> @t568 (= (tptp.hBOOL (tptp.hAPP @t2055 @t831)) @t2087)))) % 6.62/6.87 (assume @p1454 (forall @t14 (=> @t568 (= (tptp.hBOOL (tptp.hAPP @t917 @t1985)) @t2086)))) % 6.62/6.87 (assume @p1455 (forall @t14 (=> @t824 (= (tptp.hBOOL (tptp.hAPP @t917 @t13)) @t2086)))) % 6.62/6.87 (assume @p1456 (forall @t621 (=> @t620 (=> (= @t585 @t1991) (= @t844 @t407))))) % 6.62/6.87 (assume @p1457 (forall @t679 (=> @t927 @t2123))) % 6.62/6.87 (assume @p1458 (forall @t679 (=> @t620 @t2123))) % 6.62/6.87 (assume @p1459 (forall @t147 (=> @t832 (= @t833 (= @t595 @t1985))))) % 6.62/6.87 (assume @p1460 (forall @t679 (=> @t620 (= (tptp.hAPP @t583 @t844) @t1991)))) % 6.62/6.87 (assume @p1461 (forall @t1522 (=> @t1335 (=> @t414 (=> @t2046 (tptp.hBOOL (tptp.hAPP @t1509 @t1521))))))) % 6.62/6.87 (assume @p1462 (forall @t1506 (=> @t1335 (=> @t2046 (tptp.hBOOL (tptp.hAPP @t2044 @t1489)))))) % 6.62/6.87 (assume @p1463 (forall @t1506 (=> @t1335 (=> @t2093 (tptp.hBOOL (tptp.hAPP @t2089 @t1489)))))) % 6.62/6.87 (assume @p1464 (forall @t679 (=> @t620 (= (tptp.hAPP (tptp.hAPP @t618 @t1991) @t403) @t844)))) % 6.62/6.87 (assume @p1465 (forall @t380 (=> @t444 (= (tptp.hAPP @t471 @t81) @t1985)))) % 6.62/6.87 (assume @p1466 (forall @t1348 (=> @t444 (= (tptp.hAPP @t469 @t81) @t1985)))) % 6.62/6.87 (assume @p1467 (forall @t1353 (=> @t575 @t2125))) % 6.62/6.87 (assume @p1468 (forall @t1351 (=> @t575 (=> @t1350 (= @t359 @t2124))))) % 6.62/6.87 (assume @p1469 (forall @t1524 (=> @t1996 (= (tptp.hAPP @t1992 @t1853) @t1991)))) % 6.62/6.87 (assume @p1470 (forall @t1351 (=> (and @t2129 (tptp.class_Rings_Ono__zero__divisors @t39)) (=> @t50 (= @t2128 @t2127))))) % 6.62/6.87 (assume @p1471 (forall @t1351 (=> @t2129 (=> @t50 (=> @t2127 @t2128))))) % 6.62/6.87 (assume @p1472 (forall @t1954 (= @t2026 (exists @t1284 @t2130)))) % 6.62/6.87 (assume @p1473 (forall @t1954 (= (tptp.hBOOL (tptp.hAPP @t1371 @t1976)) @t1987))) % 6.62/6.87 (assume @p1474 (forall @t1251 (= @t1880 (or @t2019 (exists @t2133 (and (= @t307 (tptp.hAPP tptp.c_Nat_OSuc @t2131)) (tptp.hBOOL (tptp.hAPP @t2132 @t1196)))))))) % 6.62/6.87 (assume @p1475 (forall @t1251 (= (= @t1976 @t2028) @t2136))) % 6.62/6.87 (assume @p1476 (forall @t1251 (= (= @t2028 @t1976) @t2136))) % 6.62/6.87 (assume @p1477 (forall @t1251 (= (tptp.hBOOL (tptp.hAPP @t1978 @t2028)) (or @t2137 @t2026)))) % 6.62/6.87 (assume @p1478 (forall @t1416 (=> (tptp.hBOOL (tptp.hAPP @t2138 @t1261)) (tptp.hBOOL (tptp.hAPP @t2138 @t2023))))) % 6.62/6.87 (assume @p1479 (forall @t679 (=> @t1934 (= (tptp.hAPP @t1488 @t1975) @t1322)))) % 6.62/6.87 (assume @p1480 (forall @t376 (=> @t756 (= (tptp.hAPP @t1474 @t1975) @t1322)))) % 6.62/6.87 (assume @p1481 (forall @t54 (= (tptp.hAPP @t1013 @t53) @t1975))) % 6.62/6.87 (assume @p1482 (forall @t118 @t2140)) % 6.62/6.87 (assume @p1483 (forall @t1251 (= (= @t1304 @t1976) (and @t2135 @t2134)))) % 6.62/6.87 (assume @p1484 (forall @t1878 (= (tptp.hBOOL (tptp.hAPP @t1978 @t2141)) @t1198))) % 6.62/6.87 (assume @p1485 (forall @t1240 (=> @t2027 (=> @t2142 (tptp.hBOOL (tptp.hAPP @t1939 @t793)))))) % 6.62/6.87 (assume @p1486 (forall @t1251 (= (tptp.hBOOL (tptp.hAPP @t1978 @t1304)) (and @t2137 @t2026)))) % 6.62/6.87 (assume @p1487 (forall @t1207 (= @t2145 @t2144))) % 6.62/6.87 (assume @p1488 (forall @t1292 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t2038) @t2037)) @t2144))) % 6.62/6.87 (assume @p1489 (forall @t1270 (=> @t1366 (=> @t2146 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1315) @t1319)))))) % 6.62/6.87 (assume @p1490 (forall @t1270 (=> @t1366 (=> @t2146 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1318) @t1317)))))) % 6.62/6.87 (assume @p1491 (forall @t1207 (=> @t2143 (= @t2145 @t1198)))) % 6.62/6.87 (assume @p1492 (forall @t1207 (=> @t2143 (= @t2034 @t1288)))) % 6.62/6.87 (assume @p1493 (forall @t1240 (= (tptp.hAPP @t1395 @t1241) @t1975))) % 6.62/6.87 (assume @p1494 (forall (@list @t1477 @t793) (and (=> @t2149 (= @t2148 @t1193)) (=> @t2150 (= @t2148 (tptp.hAPP @t1478 (tptp.hAPP @t2147 @t1971))))))) % 6.62/6.87 (assume @p1495 (forall @t1227 (=> @t1254 @t2029))) % 6.62/6.87 (assume @p1496 (forall @t1251 (= (= @t2151 @t1975) @t1250))) % 6.62/6.87 (assume @p1497 (= @t1193 @t1976)) % 6.62/6.87 (assume @p1498 (forall @t1227 (=> (= @t793 @t1445) (or (= @t1211 @t1193) @t2149)))) % 6.62/6.87 (assume @p1499 (forall @t1331 (=> @t43 (= (= (tptp.hAPP @t464 @t37) @t1975) (forall @t7 (=> @t1328 (= @t5 @t1975))))))) % 6.62/6.87 (assume @p1500 (forall @t1237 (=> @t2027 (= @t1211 @t2153)))) % 6.62/6.87 (assume @p1501 (forall @t1227 (and (=> @t2149 (= @t1239 @t1211)) (=> @t2150 (= @t1239 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1223 @t1971) @t1211))))))) % 6.62/6.87 (assume @p1502 (forall @t621 (=> @t2058 (=> @t2057 @t2096)))) % 6.62/6.87 (assume @p1503 (forall @t621 (=> @t2058 (=> @t2097 (=> @t2056 @t2094))))) % 6.62/6.87 (assume @p1504 (forall @t416 (=> @t2058 (=> @t2046 @t2099)))) % 6.62/6.87 (assume @p1505 (forall @t416 (=> @t2058 (=> @t2093 (=> @t418 @t2098))))) % 6.62/6.87 (assume @p1506 (forall @t621 (=> @t2058 (=> @t2046 @t2092)))) % 6.62/6.87 (assume @p1507 (forall @t621 (=> @t2058 (=> @t2093 (=> @t2045 @t2090))))) % 6.62/6.87 (assume @p1508 (forall @t615 (=> @t2042 (=> @t2102 (= @t2154 @t565))))) % 6.62/6.87 (assume @p1509 (forall @t615 (=> @t2042 (=> @t2101 (= @t2154 @t2155))))) % 6.62/6.87 (assume @p1510 (forall @t612 (=> @t2110 (=> @t698 (=> @t720 (=> @t2091 @t2157)))))) % 6.62/6.87 (assume @p1511 (forall @t612 (=> @t2110 (=> @t698 (=> @t720 (=> @t2046 @t2157)))))) % 6.62/6.87 (assume @p1512 (forall @t612 (=> @t2110 (=> @t698 (=> @t610 (=> @t2046 (=> @t2116 @t2156))))))) % 6.62/6.87 (assume @p1513 (forall @t612 (=> @t2110 (=> @t414 (=> @t720 (=> @t2093 @t2157)))))) % 6.62/6.87 (assume @p1514 (forall @t607 (=> @t2160 @t2159))) % 6.62/6.87 (assume @p1515 (forall @t607 (=> @t2110 @t2159))) % 6.62/6.87 (assume @p1516 (forall @t604 (=> @t2160 @t2161))) % 6.62/6.87 (assume @p1517 (forall @t604 (=> @t2110 @t2161))) % 6.62/6.87 (assume @p1518 (forall @t607 (=> @t2110 (=> @t2076 @t2162)))) % 6.62/6.87 (assume @p1519 (forall @t604 (=> @t2110 (=> @t2081 @t2162)))) % 6.62/6.87 (assume @p1520 (forall @t1227 (and (=> @t2149 (= @t1445 @t1975)) (=> @t2150 (= @t1445 (tptp.hAPP @t1224 (tptp.hAPP (tptp.hAPP @t1302 @t1971) @t1211))))))) % 6.62/6.87 (assume @p1521 (forall @t386 (=> @t764 (=> @t2165 (=> @t2164 (=> @t2163 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t753) @t371)))))))) % 6.62/6.87 (assume @p1522 (forall @t386 (=> @t764 (=> @t2165 (=> @t2164 (=> @t2163 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t2166) @t371)))))))) % 6.62/6.87 (assume @p1523 (forall @t1171 (=> @t1335 (tptp.hBOOL (tptp.hAPP @t2089 @t1341))))) % 6.62/6.87 (assume @p1524 (forall @t2047 (=> @t1335 (=> @t2049 (=> @t2045 @t698))))) % 6.62/6.87 (assume @p1525 (forall @t2047 (=> @t1335 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t1933) @t2167)) (=> @t2045 @t414))))) % 6.62/6.87 (assume @p1526 (forall @t2047 (=> @t1335 (=> (= @t1933 @t2167) (=> @t2046 (=> @t2045 @t417)))))) % 6.62/6.87 (assume @p1527 (forall @t118 (= @t2139 (or @t89 @t1350)))) % 6.62/6.87 (assume @p1528 (forall @t118 (=> @t2168 @t50))) % 6.62/6.87 (assume @p1529 (forall (@list @t1261 @t1211) (=> @t2027 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 (tptp.hAPP @t1395 @t1872)) @t1211))))) % 6.62/6.87 (assume @p1530 (forall @t1237 (=> @t2027 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1395 @t1976)) @t1211)))) % 6.62/6.87 (assume @p1531 (forall @t1240 (=> @t2171 (=> @t2170 (tptp.hBOOL (tptp.hAPP @t1370 @t1445)))))) % 6.62/6.87 (assume @p1532 (forall @t1240 (=> @t2171 (=> @t2170 (tptp.hBOOL (tptp.hAPP @t1370 @t1446)))))) % 6.62/6.87 (assume @p1533 (forall @t1240 (=> @t2171 (=> @t2170 (tptp.hBOOL (tptp.hAPP @t2169 @t1445)))))) % 6.62/6.87 (assume @p1534 (forall @t2181 (= @t2180 (not (or (and @t2179 @t2178) (exists @t2176 (and @t2175 (not @t2174)))))))) % 6.62/6.87 (assume @p1535 (forall @t2181 (= @t2180 (and (=> @t2179 @t2177) (forall @t2176 (=> @t2175 @t2174)))))) % 6.62/6.87 (assume @p1536 (forall @t1251 (= (tptp.hBOOL (tptp.hAPP @t2138 @t1304)) (and (tptp.hBOOL (tptp.hAPP @t2138 @t307)) (tptp.hBOOL (tptp.hAPP @t2138 @t1196)))))) % 6.62/6.87 (assume @p1537 (forall @t1207 (= @t2183 @t2182))) % 6.62/6.87 (assume @p1538 (forall @t1292 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t2038) @t2037)) @t2182))) % 6.62/6.87 (assume @p1539 (forall @t1207 (=> @t2143 (= @t2183 @t1250)))) % 6.62/6.87 (assume @p1540 (forall @t483 (=> @t50 (= (= @t466 @t1976) (exists @t7 (and @t130 (= @t5 @t1976) @t2184)))))) % 6.62/6.87 (assume @p1541 (forall @t483 (=> @t50 (= (= @t466 @t1193) (exists @t7 (and @t130 @t1327 @t2184)))))) % 6.62/6.87 (assume @p1542 (forall @t1389 (=> @t575 (=> @t823 (and (=> @t1386 (= @t2185 @t1388)) (=> @t1387 (= @t2185 @t2124))))))) % 6.62/6.87 (assume @p1543 (forall @t1389 (=> @t575 (=> @t823 (and (=> @t1386 (= @t2186 @t1388)) (=> @t1387 (= @t2186 @t2124))))))) % 6.62/6.87 (assume @p1544 (forall @t2190 (=> @t823 (= @t2189 @t2188)))) % 6.62/6.87 (assume @p1545 (forall @t2196 (=> (tptp.class_Rings_Olinordered__semiring__1 @t372) (=> @t885 (=> (tptp.hBOOL (tptp.hAPP @t382 @t403)) (=> @t2195 (=> @t2194 (=> @t2193 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t2192) @t403)))))))))) % 6.62/6.87 (assume @p1546 (forall @t1506 (=> @t1335 (=> @t2093 (=> @t2197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t1517) @t1489))))))) % 6.62/6.87 (assume @p1547 (forall @t1506 (=> @t1335 (=> @t2093 (=> @t2197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t1933) @t1322))))))) % 6.62/6.87 (assume @p1548 (forall @t1513 (=> @t1335 (=> @t1515 (=> @t2093 (=> @t2197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t1508) @t1489)))))))) % 6.62/6.87 (assume @p1549 (forall @t1513 (=> @t1335 (=> @t1512 (=> @t2046 (=> (tptp.hBOOL (tptp.hAPP @t412 @t1322)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t1508) @t1489)))))))) % 6.62/6.87 (assume @p1550 (forall @t1506 (=> @t1335 (=> @t1491 (=> @t2027 (tptp.hBOOL (tptp.hAPP @t1336 @t1489))))))) % 6.62/6.87 (assume @p1551 (forall @t118 (= @t2168 (and @t90 @t50)))) % 6.62/6.87 (assume @p1552 (forall @t54 (=> @t1056 (tptp.hBOOL (tptp.hAPP @t1978 @t1107))))) % 6.62/6.87 (assume @p1553 (forall @t1353 (=> @t575 @t2198))) % 6.62/6.87 (assume @p1554 (forall @t1353 (=> @t575 (and @t2198 @t2125)))) % 6.62/6.87 (assume @p1555 (forall @t1237 (=> @t2027 (= @t2153 @t1211)))) % 6.62/6.87 (assume @p1556 (forall @t2201 (=> @t575 (=> @t50 (= @t1687 @t2200))))) % 6.62/6.87 (assume @p1557 (forall @t118 (and @t2202 @t2140))) % 6.62/6.87 (assume @p1558 (forall @t118 @t2202)) % 6.62/6.87 (assume @p1559 (forall @t2196 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t372) (=> @t910 (=> (tptp.hBOOL (tptp.hAPP @t681 @t403)) (=> @t2195 (=> @t2194 (=> @t2193 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t2192) @t403)))))))))) % 6.62/6.87 (assume @p1560 (forall (@list @t16 @t18 @t21 @t2203 @t8) (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__size @t8 @t2203 @t23) @t1975))) % 6.62/6.87 (assume @p1561 (forall @t14 (=> @t2122 @t2088))) % 6.62/6.87 (assume @p1562 (forall (@list @t16 @t18 @t21 @t8) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t9) @t23) @t1975))) % 6.62/6.87 (assume @p1563 (forall @t258 (=> @t50 (=> @t260 (=> (=> (exists @t7 @t1816) @t2204) @t1689))))) % 6.62/6.87 (assume @p1564 (forall @t2211 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t39) (=> @t260 (=> @t352 (=> (forall @t2210 (=> (tptp.hBOOL (tptp.hAPP @t2209 @t335)) (tptp.hBOOL (tptp.hAPP @t2208 (tptp.hAPP @t2 @t2207))))) @t2206)))))) % 6.62/6.87 (assume @p1565 (forall @t2219 (= (tptp.hAPP (tptp.hAPP @t1302 @t2218) (tptp.hAPP (tptp.hAPP @t2217 (tptp.hAPP (tptp.hAPP @t2216 @t2213) (tptp.hAPP (tptp.hAPP @t1242 @t1302) @t149))) @t2215)) (tptp.hAPP @t2036 (tptp.hAPP @t2213 (tptp.hAPP @t2213 (tptp.hAPP (tptp.hAPP @t1302 @t2212) @t149))))))) % 6.62/6.87 (assume @p1566 (forall @t2221 (tptp.hBOOL (tptp.hAPP @t1285 @t2220)))) % 6.62/6.87 (assume @p1567 (forall @t198 (=> @t665 (= (= @t2224 @t2223) @t112)))) % 6.62/6.87 (assume @p1568 (forall @t2226 (= (tptp.hAPP @t2225 (tptp.hAPP @t2214 @t1426)) @t1426))) % 6.62/6.87 (assume @p1569 (= (tptp.hAPP @t2214 @t1975) @t2227)) % 6.62/6.87 (assume @p1570 (forall @t2221 (= @t2230 (tptp.hAPP @t2229 @t2220)))) % 6.62/6.87 (assume @p1571 (= (tptp.hAPP @t2231 @t2214) @t1444)) % 6.62/6.87 (assume @p1572 (forall @t1954 (= @t2234 (tptp.hAPP @t2233 (tptp.hAPP @t2232 @t2215))))) % 6.62/6.87 (assume @p1573 (forall @t2238 (=> @t444 (= (tptp.hAPP @t2237 @t2234) (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP @t2237 @t2215)) @t2235))))) % 6.62/6.87 (assume @p1574 (forall @t2240 (=> @t988 (= (tptp.hBOOL (tptp.hAPP @t1449 @t2239)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t1229) @t1199)))))) % 6.62/6.87 (assume @p1575 (forall @t198 (=> @t665 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t2224) @t2223)) @t426)))) % 6.62/6.87 (assume @p1576 (forall @t2242 (=> @t665 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t653 (tptp.hAPP @t2222 @t307)) (tptp.hAPP @t2222 @t1196))) (tptp.hBOOL (tptp.hAPP @t2241 @t1196)))))) % 6.62/6.87 (assume @p1577 (forall @t1298 (= (tptp.hAPP @t2244 @t1297) (tptp.hAPP (tptp.hAPP @t2246 @t2245) (tptp.hAPP @t2244 @t392))))) % 6.62/6.87 (assume @p1578 (forall @t1298 (= (tptp.hAPP (tptp.hAPP @t2243 @t2245) @t392) (tptp.hAPP @t2244 (tptp.hAPP (tptp.hAPP @t1302 @t381) @t392))))) % 6.62/6.87 (assume @p1579 (forall @t2248 (=> @t430 (= (tptp.hAPP (tptp.hAPP @t237 @t2247) @t2239) @t2247)))) % 6.62/6.87 (assume @p1580 (forall @t14 (=> @t824 @t2249))) % 6.62/6.87 (assume @p1581 (forall (@list @t1196 @t149 @t13 @t8) (=> @t2256 (= (tptp.hAPP @t2255 (tptp.hAPP (tptp.hAPP @t2236 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t8 tptp.tc_Nat_Onat) @t593) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t8 @t8) (tptp.hAPP (tptp.hAPP @t2253 @t642) @t2250)) @t149))) @t2215)) (tptp.hAPP @t2252 (tptp.hAPP @t593 (tptp.hAPP @t593 (tptp.hAPP (tptp.hAPP @t642 (tptp.hAPP @t2250 @t2212)) @t149)))))))) % 6.62/6.87 (assume @p1582 (forall @t1815 (=> @t575 (=> @t823 (=> @t1547 (=> (forall @t7 (=> @t1813 @t2126)) (= (tptp.hAPP @t358 @t1812) (tptp.hAPP (tptp.hAPP @t571 @t2258) @t2257)))))))) % 6.62/6.87 (assume @p1583 (forall @t1555 (=> @t575 (=> @t50 (=> @t260 (=> (forall @t7 (=> @t1816 (= @t4 @t2124))) @t1686)))))) % 6.62/6.87 (assume @p1584 (forall (@list @t1199 @t45 @t8) (= (= @t1014 @t1894) (exists (@list @t2207 @t2259) (and (= @t45 (tptp.hAPP (tptp.hAPP @t46 @t2207) @t2259)) (not (tptp.hBOOL (tptp.hAPP @t2209 @t2259))) (= (tptp.hAPP @t1013 @t2259) @t1199) (=> @t2030 (= @t2259 @t53))))))) % 6.62/6.87 (assume @p1585 (forall @t2211 (=> @t1035 (=> @t260 (=> @t352 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t129 @t335)) @t2260)) @t2206)))))) % 6.62/6.87 (assume @p1586 (forall @t14 (=> @t2122 (=> @t2263 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t2261) @t1985)) @t2087))))) % 6.62/6.87 (assume @p1587 (forall @t1240 (tptp.hBOOL (tptp.hAPP @t2269 @t2265)))) % 6.62/6.87 (assume @p1588 (forall @t1251 (=> (tptp.hBOOL (tptp.hAPP @t2274 @t307)) (= @t2272 @t2271)))) % 6.62/6.87 (assume @p1589 (forall @t1270 (=> @t2278 (=> @t2276 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 (tptp.hAPP @t2275 @t1261)) (tptp.hAPP @t2275 @t1217))))))) % 6.62/6.87 (assume @p1590 (forall @t2281 (=> @t2280 (tptp.hBOOL (tptp.hAPP @t2279 @t2262))))) % 6.62/6.87 (assume @p1591 (forall @t2286 (= (tptp.hAPP (tptp.hAPP @t2246 @t2285) @t2282) (tptp.hAPP @t2266 @t2284)))) % 6.62/6.87 (assume @p1592 (forall @t2292 (= (tptp.hAPP (tptp.hAPP @t2246 (tptp.hAPP @t2291 @t2288)) @t2287) (tptp.hAPP @t2291 (tptp.hAPP @t2289 @t2287))))) % 6.62/6.87 (assume @p1593 (forall @t2286 (= @t2284 @t2294))) % 6.62/6.87 (assume @p1594 (forall @t2299 (= (tptp.hAPP @t2293 @t2298) (tptp.hAPP (tptp.hAPP @t2297 @t2296) @t2295)))) % 6.62/6.87 (assume @p1595 (forall @t2302 (= (tptp.hAPP (tptp.hAPP @t2246 @t2298) @t2282) (tptp.hAPP (tptp.hAPP @t2297 @t2301) @t2300)))) % 6.62/6.87 (assume @p1596 (forall @t2302 (= (tptp.hAPP (tptp.hAPP @t2246 @t2305) @t2282) (tptp.hAPP (tptp.hAPP @t2303 @t2301) @t2300)))) % 6.62/6.87 (assume @p1597 (forall @t2299 (= (tptp.hAPP @t2293 @t2305) (tptp.hAPP (tptp.hAPP @t2303 @t2296) @t2295)))) % 6.62/6.87 (assume @p1598 (forall @t2306 (= (tptp.hAPP (tptp.hAPP @t2246 @t2270) @t392) @t392))) % 6.62/6.87 (assume @p1599 (forall @t2306 (= (tptp.hAPP @t2283 @t2270) @t392))) % 6.62/6.87 (assume @p1600 (forall @t2242 (=> @t2308 (= (= @t2307 @t2251) @t1288)))) % 6.62/6.87 (assume @p1601 (forall @t1878 (= (tptp.hBOOL (tptp.hAPP @t2313 (tptp.hAPP @t2266 @t2310))) @t2309))) % 6.62/6.87 (assume @p1602 (forall @t1954 (= (tptp.hBOOL (tptp.hAPP @t2313 @t2273)) @t1987))) % 6.62/6.87 (assume @p1603 (forall @t1954 (= (= @t2311 @t2273) @t1987))) % 6.62/6.87 (assume @p1604 (= @t2314 @t2273)) % 6.62/6.87 (assume @p1605 (forall @t1878 (= (= (tptp.hAPP @t2266 @t2311) @t2310) @t2309))) % 6.62/6.87 (assume @p1606 (forall @t2321 (= @t2320 (exists @t2318 (= @t142 (tptp.hAPP @t2317 @t2316)))))) % 6.62/6.87 (assume @p1607 (forall @t1321 (= (tptp.hAPP @t2264 @t1854) (tptp.hAPP @t2322 @t2265)))) % 6.62/6.87 (assume @p1608 (forall @t1237 (tptp.hBOOL (tptp.hAPP @t2269 @t2273)))) % 6.62/6.87 (assume @p1609 (forall @t1237 (not (tptp.hBOOL (tptp.hAPP @t2323 @t2267))))) % 6.62/6.87 (assume @p1610 (forall @t1251 (= (tptp.hBOOL (tptp.hAPP @t2324 @t2311)) @t1198))) % 6.62/6.87 (assume @p1611 (forall @t1227 (= (tptp.hAPP @t2327 @t2326) @t2325))) % 6.62/6.87 (assume @p1612 (forall (@list @t392 @t1211 @t793) (= (tptp.hAPP @t2327 (tptp.hAPP (tptp.hAPP @t2303 @t2326) @t392)) (tptp.hAPP (tptp.hAPP @t2303 @t2325) @t392)))) % 6.62/6.87 (assume @p1613 (forall @t1251 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2310) @t2311)) @t1250))) % 6.62/6.87 (assume @p1614 (forall @t1227 (= @t2329 @t2328))) % 6.62/6.87 (assume @p1615 (forall @t1227 (= @t2328 @t2329))) % 6.62/6.87 (assume @p1616 (= @t2330 @t2270)) % 6.62/6.87 (assume @p1617 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2264 @t1444)) % 6.62/6.87 (assume @p1618 (forall @t1227 (= @t2333 @t2332))) % 6.62/6.87 (assume @p1619 (forall @t1227 (= @t2332 @t2333))) % 6.62/6.87 (assume @p1620 (forall @t972 (= (tptp.hAPP @t2264 @t466) @t2336))) % 6.62/6.87 (assume @p1621 (forall @t972 (= (tptp.hAPP @t2264 @t2339) @t2338))) % 6.62/6.87 (assume @p1622 (= (tptp.hAPP @t2264 @t1976) @t2270)) % 6.62/6.87 (assume @p1623 (forall @t1270 (=> @t2278 (=> @t2146 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 (tptp.hAPP @t2341 @t1261)) (tptp.hAPP @t2341 @t1217))))))) % 6.62/6.87 (assume @p1624 (forall @t1954 (= (tptp.hBOOL (tptp.hAPP @t2274 @t2311)) @t2026))) % 6.62/6.87 (assume @p1625 (forall @t1524 (=> @t1335 (tptp.hBOOL (tptp.hAPP @t2044 @t2343))))) % 6.62/6.87 (assume @p1626 (forall @t1343 (=> @t1335 (tptp.hBOOL (tptp.hAPP @t2044 @t2344))))) % 6.62/6.87 (assume @p1627 (forall @t1240 (=> @t1252 (= (tptp.hAPP (tptp.hAPP @t2297 @t2265) @t2326) (tptp.hAPP @t2264 @t1222))))) % 6.62/6.87 (assume @p1628 (forall @t1343 (=> @t1335 (not (tptp.hBOOL (tptp.hAPP @t2345 @t1991)))))) % 6.62/6.87 (assume @p1629 (forall @t1171 (=> @t2346 (= (tptp.hAPP @t2342 @t1975) @t1991)))) % 6.62/6.87 (assume @p1630 (forall @t1337 (=> @t1335 (=> @t2347 @t1214)))) % 6.62/6.87 (assume @p1631 (forall @t1337 (=> @t1335 (=> @t1214 @t2347)))) % 6.62/6.87 (assume @p1632 (forall @t2242 (=> @t1500 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t2307) @t2251)) @t1198)))) % 6.62/6.87 (assume @p1633 (forall @t2242 (=> @t1500 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t2307) @t2251)) @t1250)))) % 6.62/6.87 (assume @p1634 (forall @t1337 (=> @t2346 (= (tptp.hAPP @t2342 @t1239) (tptp.hAPP (tptp.hAPP @t577 @t2344) @t2343))))) % 6.62/6.87 (assume @p1635 (forall @t1337 (=> @t2346 (= (tptp.hAPP @t2342 @t1445) (tptp.hAPP (tptp.hAPP @t670 @t2344) @t2343))))) % 6.62/6.87 (assume @p1636 (forall @t1171 (=> @t2346 (= (tptp.hAPP @t2342 @t1193) @t1322)))) % 6.62/6.87 (assume @p1637 (forall @t1337 (=> @t2346 (= (tptp.hAPP @t2342 @t2331) (tptp.hAPP (tptp.hAPP @t1472 @t2344) @t1211))))) % 6.62/6.87 (assume @p1638 (forall @t159 (=> @t2350 (= (tptp.hAPP @t2250 (tptp.hAPP (tptp.hAPP @t2349 @t2) @t45)) (tptp.hAPP (tptp.hAPP @t436 @t2348) @t45))))) % 6.62/6.87 (assume @p1639 (forall @t54 (=> @t2308 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t8 @t2250 @t1444)))) % 6.62/6.87 (assume @p1640 (forall @t54 (=> @t2280 (tptp.hBOOL (tptp.hAPP @t2351 @t2262))))) % 6.62/6.87 (assume @p1641 (forall @t147 (=> @t2280 (=> @t2263 (=> @t2353 (tptp.hBOOL (tptp.hAPP @t2352 @t2262))))))) % 6.62/6.87 (assume @p1642 (forall @t147 (=> @t2280 (=> @t2263 (=> @t2353 (tptp.hBOOL (tptp.hAPP @t2354 @t2262))))))) % 6.62/6.87 (assume @p1643 (forall @t147 (=> @t2280 (=> @t2263 (=> @t2353 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t566) @t2262))))))) % 6.62/6.87 (assume @p1644 (forall @t54 (=> @t2280 (tptp.hBOOL (tptp.hAPP @t2355 @t2262))))) % 6.62/6.87 (assume @p1645 (forall @t14 (=> @t2280 (=> @t2263 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t831) @t2262)))))) % 6.62/6.87 (assume @p1646 (forall @t1990 (=> @t2280 (=> @t2263 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t1526) @t2262)))))) % 6.62/6.87 (assume @p1647 (forall @t159 (=> (and @t947 @t2350) (= (tptp.hAPP @t2250 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t39 tptp.tc_Nat_Onat) @t2) @t45)) (tptp.hAPP (tptp.hAPP @t943 @t2348) @t45))))) % 6.62/6.87 (assume @p1648 (forall @t1343 (=> @t2346 (= (tptp.hAPP @t2342 @t1854) (tptp.hAPP @t1340 @t2344))))) % 6.62/6.87 (assume @p1649 (forall (@list @t793 @t1211 @t372) (=> @t1505 (=> @t1252 (= (tptp.hAPP @t2342 @t1222) (tptp.hAPP (tptp.hAPP @t618 @t2344) @t2343)))))) % 6.62/6.87 (assume @p1650 (forall (@list @t45 @t109 @t39 @t8) (=> @t2350 (= (tptp.hAPP (tptp.hAPP @t436 (tptp.hAPP @t1332 @t109)) @t45) (tptp.hAPP (tptp.hAPP @t642 (tptp.hAPP @t2250 @t1150)) @t109))))) % 6.62/6.87 (assume @p1651 (forall @t2281 (=> @t1500 (= (tptp.hBOOL (tptp.hAPP @t2055 @t2251)) @t2026)))) % 6.62/6.87 (assume @p1652 (forall @t14 (=> @t2356 (=> @t2263 @t2249)))) % 6.62/6.87 (assume @p1653 (forall @t14 (=> @t2356 (=> @t2263 (not (= @t2261 @t1985)))))) % 6.62/6.87 (assume @p1654 (forall @t2281 (=> @t2350 (= @t2251 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 (tptp.hAPP (tptp.hAPP @t2357 @t587) @t1299) @t1196 @t1985))))) % 6.62/6.87 (assume @p1655 (forall (@list @t109 @t60 @t180) (= (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t2264 @t2363))) (and (=> (tptp.hBOOL (tptp.hAPP @t2361 @t60)) (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP (tptp.hAPP @t2297 @t2360) @t2359)))) (=> @t1516 @t2358))))) % 6.62/6.87 (assume @p1656 (forall @t2365 (= (tptp.hAPP (tptp.hAPP @t2243 @t2364) @t1211) (tptp.hAPP @t2264 (tptp.hAPP (tptp.hAPP @t2018 @t371) @t1211))))) % 6.62/6.87 (assume @p1657 (forall (@list @t1028 @t2 @t45 @t8 @t39) (=> (and @t1034 (tptp.class_Rings_Osemiring__1 @t39)) (=> (forall @t1033 (=> (tptp.hBOOL (tptp.hAPP @t1032 @t45)) (tptp.hBOOL (tptp.hAPP @t1031 @t1028)))) (tptp.hBOOL (tptp.hAPP @t2205 (tptp.hAPP (tptp.hAPP @t812 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t39) @t1014)) @t1028))))))) % 6.62/6.87 (assume @p1658 (forall @t1375 (= (tptp.hAPP (tptp.hAPP @t2246 @t2364) @t2367) (tptp.hAPP @t2264 @t2366)))) % 6.62/6.87 (assume @p1659 (forall (@list @t60 @t109 @t82) (and (=> @t2371 (= @t2369 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t2362 @t82)) (tptp.hAPP (tptp.hAPP @t467 @t109) @t82)))) (=> (not @t2371) (and (=> @t1516 (= @t2369 @t2370)) (=> (not @t1516) (= @t2369 @t2227))))))) % 6.62/6.87 (assume @p1660 (forall @t2374 (tptp.hBOOL (tptp.hAPP @t1285 @t2373)))) % 6.62/6.87 (assume @p1661 (forall @t1240 (tptp.hBOOL (tptp.hAPP @t2376 @t2265)))) % 6.62/6.87 (assume @p1662 (forall @t2377 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2340) @t2273))))) % 6.62/6.87 (assume @p1663 (forall @t2321 (= @t2380 (exists @t2318 (= @t142 (tptp.hAPP @t2317 @t2378)))))) % 6.62/6.87 (assume @p1664 (forall @t2383 (= (forall @t7 (=> @t2382 @t1080)) (forall @t7 @t2381)))) % 6.62/6.87 (assume @p1665 (forall @t2383 (= (exists @t7 (and @t2382 @t1080)) (exists @t7 @t2381)))) % 6.62/6.87 (assume @p1666 (forall @t2306 (tptp.hBOOL (tptp.hAPP @t2323 @t2384)))) % 6.62/6.87 (assume @p1667 (forall @t1237 (tptp.hBOOL (tptp.hAPP @t2323 @t2326)))) % 6.62/6.87 (assume @p1668 (forall @t1237 (tptp.hBOOL (tptp.hAPP @t2376 @t2273)))) % 6.62/6.87 (assume @p1669 (forall @t1251 (= (= @t2310 @t2311) @t1288))) % 6.62/6.87 (assume @p1670 (forall @t1240 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2326) (tptp.hAPP @t2266 @t2265)))))) % 6.62/6.87 (assume @p1671 (forall @t2385 (= (= @t2360 @t2359) @t112))) % 6.62/6.87 (assume @p1672 (forall @t2393 (= (tptp.hBOOL (tptp.hAPP @t2392 @t74)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2390 @t2388) @t2387))))) % 6.62/6.87 (assume @p1673 (forall @t2396 (= (tptp.hBOOL (tptp.hAPP @t2395 @t45)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2394 @t2360) @t2388))))) % 6.62/6.87 (assume @p1674 (forall @t2393 (= @t106 (= @t2388 @t2387)))) % 6.62/6.87 (assume @p1675 (forall @t2393 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2398 @t45) @t74)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2397 @t2388) @t2387))))) % 6.62/6.87 (assume @p1676 (forall @t2321 (= @t2400 (or @t2320 @t2399)))) % 6.62/6.87 (assume @p1677 (forall @t1375 (or (tptp.hBOOL (tptp.hAPP @t2402 @t381)) @t398 (tptp.hBOOL (tptp.hAPP @t2401 @t371))))) % 6.62/6.87 (assume @p1678 (forall @t2306 (= (tptp.hAPP @t2266 @t2285) @t392))) % 6.62/6.87 (assume @p1679 (forall @t2286 (= @t2406 @t2404))) % 6.62/6.87 (assume @p1680 (forall @t1298 (= (tptp.hAPP @t2407 (tptp.hAPP @t2408 @t392)) (tptp.hAPP @t2408 (tptp.hAPP @t2407 @t392))))) % 6.62/6.87 (assume @p1681 (forall @t2292 (= (tptp.hAPP (tptp.hAPP @t2303 @t2305) @t2287) (tptp.hAPP @t2304 (tptp.hAPP (tptp.hAPP @t2303 @t2288) @t2287))))) % 6.62/6.87 (assume @p1682 (forall @t2286 (= @t2412 @t2410))) % 6.62/6.87 (assume @p1683 (forall @t2286 (= @t2410 @t2412))) % 6.62/6.87 (assume @p1684 (forall @t2286 (= (tptp.hAPP @t2266 @t2406) (tptp.hAPP @t2413 @t2409)))) % 6.62/6.87 (assume @p1685 (forall @t1270 (=> @t2278 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 (tptp.hAPP @t2414 @t1216)) (tptp.hAPP (tptp.hAPP @t2303 @t1217) @t1216)))))) % 6.62/6.87 (assume @p1686 (forall (@list @t392 @t2415 @t2282 @t2416) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2416) @t2282)) (=> @t2417 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 (tptp.hAPP (tptp.hAPP @t2303 @t2416) @t2415)) @t2404)))))) % 6.62/6.87 (assume @p1687 (forall @t2420 (= (tptp.hBOOL (tptp.hAPP @t2419 @t787)) (and (tptp.hBOOL (tptp.hAPP @t2418 @t787)) (not (= @t142 @t787)))))) % 6.62/6.87 (assume @p1688 (forall @t2306 (= (tptp.hAPP @t2413 @t392) @t2273))) % 6.62/6.87 (assume @p1689 (tptp.hBOOL (tptp.hAPP @t2323 @t2273))) % 6.62/6.87 (assume @p1690 (forall @t2422 (tptp.hBOOL (tptp.hAPP @t2421 @t2282)))) % 6.62/6.87 (assume @p1691 (forall @t2286 (or @t2425 @t2423))) % 6.62/6.87 (assume @p1692 (forall @t1375 (=> @t2428 (=> @t2427 (tptp.hBOOL (tptp.hAPP @t2323 @t2426)))))) % 6.62/6.87 (assume @p1693 (forall @t1270 (=> @t2431 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 (tptp.hAPP @t2429 @t1261)) (tptp.hAPP @t2429 @t1217)))))) % 6.62/6.87 (assume @p1694 (forall @t1270 (=> @t2431 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t1217) @t1216)) (tptp.hBOOL (tptp.hAPP @t2430 @t1216)))))) % 6.62/6.87 (assume @p1695 (forall @t2286 (=> @t2425 (=> @t2423 (= @t392 @t2282))))) % 6.62/6.87 (assume @p1696 (forall @t2306 (= (tptp.hAPP @t2405 @t2273) @t392))) % 6.62/6.87 (assume @p1697 (forall @t2306 (= (tptp.hAPP (tptp.hAPP @t2303 @t2273) @t392) @t392))) % 6.62/6.87 (assume @p1698 (= (tptp.hAPP @t2266 @t2273) @t2273)) % 6.62/6.87 (assume @p1699 (forall @t2434 (= @t2433 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 (tptp.hAPP (tptp.hAPP @t2297 @t1199) @t1455)) @t2273))))) % 6.62/6.87 (assume @p1700 (not (= @t2273 @t2270))) % 6.62/6.87 (assume @p1701 (forall @t2306 (not (= (tptp.hAPP (tptp.hAPP @t2303 @t2435) @t392) @t2273)))) % 6.62/6.87 (assume @p1702 (tptp.hBOOL (tptp.hAPP @t2323 @t2270))) % 6.62/6.87 (assume @p1703 (forall @t2321 (= (tptp.hBOOL (tptp.hAPP @t2379 (tptp.hAPP @t2436 @t2270))) @t2320))) % 6.62/6.87 (assume @p1704 (forall @t2439 (= (tptp.hBOOL (tptp.hAPP @t2438 @t142)) @t2437))) % 6.62/6.87 (assume @p1705 (forall @t2321 (= @t2400 @t2380))) % 6.62/6.87 (assume @p1706 (forall @t2321 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 (tptp.hAPP @t2317 @t2270)) @t142)) @t2320))) % 6.62/6.87 (assume @p1707 (forall @t2306 (=> @t2440 (tptp.hBOOL (tptp.hAPP @t2274 @t2435))))) % 6.62/6.87 (assume @p1708 (forall @t2441 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2282) @t392)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 (tptp.hAPP @t2403 @t2270)) @t392))))) % 6.62/6.87 (assume @p1709 (forall @t2439 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2322 @t142)) @t142)) @t2273)) @t2442))) % 6.62/6.87 (assume @p1710 (tptp.hBOOL (tptp.hAPP @t2274 @t2270))) % 6.62/6.87 (assume @p1711 (forall @t155 (=> @t665 (=> @t2445 (=> @t714 (=> @t723 @t150)))))) % 6.62/6.87 (assume @p1712 (forall @t155 (=> @t665 (=> @t2445 (=> @t714 (=> @t723 @t151)))))) % 6.62/6.87 (assume @p1713 (forall @t155 (=> @t665 (=> @t714 (=> @t723 (= @t2445 @t152)))))) % 6.62/6.87 (assume @p1714 (forall @t1235 (=> @t1415 (= (tptp.hAPP @t2448 @t2447) (tptp.hAPP (tptp.hAPP @t2450 @t2449) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1228) @t2447)))))) % 6.62/6.87 (assume @p1715 (forall @t2452 (= (tptp.hAPP @t2451 @t1975) @t2227))) % 6.62/6.87 (assume @p1716 (forall @t1954 (= @t2454 @t2215))) % 6.62/6.87 (assume @p1717 (forall (@list @t1199 @t45) (=> (tptp.hBOOL (tptp.hAPP @t2392 @t2456)) (= @t45 @t2456)))) % 6.62/6.87 (assume @p1718 (forall @t2374 (= (tptp.hAPP @t2225 @t2373) @t2458))) % 6.62/6.87 (assume @p1719 (forall @t2461 (= (tptp.hAPP @t2232 @t2449) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2460) @t2459)))) % 6.62/6.87 (assume @p1720 (forall @t98 (=> @t430 (=> @t2155 @t2462)))) % 6.62/6.87 (assume @p1721 (forall @t147 (=> @t430 (= @t2462 @t2463)))) % 6.62/6.87 (assume @p1722 (forall @t147 (=> @t430 (= (= @t53 @t2444) @t2463)))) % 6.62/6.87 (assume @p1723 (forall @t155 (=> @t665 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t2444) @t2443)) (or @t2155 @t2466))))) % 6.62/6.87 (assume @p1724 (forall @t2471 (=> @t444 (= (tptp.hAPP @t2237 (tptp.hAPP @t2470 @t1879)) (tptp.hAPP @t2469 @t2467))))) % 6.62/6.87 (assume @p1725 (forall @t2480 (=> @t665 (=> @t2479 (=> @t2477 (= (tptp.hAPP @t2476 @t2474) @t2473)))))) % 6.62/6.87 (assume @p1726 (forall @t2482 (=> @t444 (= (tptp.hAPP @t2237 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1291) @t1290)) (tptp.hAPP @t2481 @t2467))))) % 6.62/6.87 (assume @p1727 (forall (@list @t307 @t1196 @t1229 @t8) (=> @t665 (=> (tptp.hBOOL (tptp.hAPP @t2484 @t1196)) (= (tptp.hAPP (tptp.hAPP @t237 (tptp.hAPP @t2483 @t307)) (tptp.hAPP @t2483 @t1196)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t1196) @t307)))))) % 6.62/6.87 (assume @p1728 (forall @t2480 (=> @t430 (= (tptp.hAPP @t2485 @t2474) @t53)))) % 6.62/6.87 (assume @p1729 (forall @t2487 (= (tptp.hAPP @t2486 @t2449) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1231) @t2447)))) % 6.62/6.87 (assume @p1730 (forall @t2494 (=> @t444 (=> @t1250 (=> @t2493 (= (tptp.hAPP @t2492 @t2490) @t2489)))))) % 6.62/6.87 (assume @p1731 (forall @t2494 (=> @t477 (=> @t1250 (=> @t2493 (= (tptp.hAPP (tptp.hAPP @t274 @t2489) @t2491) @t2490)))))) % 6.62/6.87 (assume @p1732 (forall (@list @t1229 @t2495 @t8) (=> @t2350 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2495 @t1975 @t1229) @t1229)))) % 6.62/6.87 (assume @p1733 (forall (@list @t1229 @t1196 @t2495 @t8) (=> @t2350 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2495 @t1879 @t1229) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t2495 @t1196 (tptp.hAPP @t2495 @t1229)))))) % 6.62/6.87 (assume @p1734 (= @t2273 @t2314)) % 6.62/6.87 (assume @p1735 (forall @t2452 (= (tptp.hAPP @t2451 @t1874) (tptp.hAPP (tptp.hAPP @t2228 @t307) @t2227)))) % 6.62/6.87 (assume @p1736 (forall @t2385 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2360) @t2359)) @t1516))) % 6.62/6.87 (assume @p1737 (forall @t1375 (= (tptp.hAPP (tptp.hAPP @t2303 @t2364) @t2367) (tptp.hAPP @t2264 (tptp.hAPP @t1295 @t381))))) % 6.62/6.87 (assume @p1738 (forall @t2385 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2360) @t2359)) @t1493))) % 6.62/6.87 (assume @p1739 (forall @t1375 (=> @t2428 (=> @t2427 (tptp.hBOOL (tptp.hAPP @t2323 @t2496)))))) % 6.62/6.87 (assume @p1740 (forall @t118 (= (tptp.hAPP @t2498 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t2500 @t52) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1443 (tptp.tc_fun @t2500 @t52) tptp.tc_Nat_Onat) @t2497) @t2453)) @t45)) @t2499))) % 6.62/6.87 (assume @p1741 (= @t2270 @t2330)) % 6.62/6.87 (assume @p1742 (forall @t155 (=> @t665 (= (tptp.hAPP (tptp.hAPP @t1551 @t2444) @t2443) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t2502) @t2501))))) % 6.62/6.87 (assume @p1743 (forall @t2507 (=> @t665 (=> @t2506 (= (tptp.hAPP @t2505 @t2473) @t2503))))) % 6.62/6.87 (assume @p1744 (forall @t2507 (=> @t430 (= (tptp.hAPP @t2508 @t2473) @t53)))) % 6.62/6.87 (assume @p1745 (forall (@list @t1199 @t2 @t8) (=> @t444 (=> (= @t2509 @t1985) (= (tptp.hAPP @t2237 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1976) @t1199)) (tptp.hAPP @t2237 (tptp.hAPP @t2453 @t1199))))))) % 6.62/6.87 (assume @p1746 (forall @t2512 (=> @t444 (=> @t1198 (= @t2491 (tptp.hAPP @t2511 (tptp.hAPP @t2237 (tptp.hAPP @t2470 @t1196)))))))) % 6.62/6.87 (assume @p1747 (= @t2513 (tptp.hAPP @t2386 @t2227))) % 6.62/6.87 (assume @p1748 (forall @t2365 (=> @t2428 (tptp.hBOOL (tptp.hAPP @t2323 @t2514))))) % 6.62/6.87 (assume @p1749 (forall @t1251 (and (=> @t1250 (= @t2515 (tptp.hAPP (tptp.hAPP @t2228 @t1196) @t2467))) (=> @t1891 (= @t2515 @t2227))))) % 6.62/6.87 (assume @p1750 (forall @t2517 (= @t2455 (tptp.hAPP @t2516 @t2388)))) % 6.62/6.87 (assume @p1751 (forall @t2517 (= (tptp.hBOOL (tptp.hAPP @t1285 @t45)) (tptp.hBOOL (tptp.hAPP @t2518 @t2388))))) % 6.62/6.87 (assume @p1752 (forall @t2520 (=> @t444 (and (=> @t1372 (= @t2519 @t1985)) (=> @t1877 (= @t2519 (tptp.hAPP @t2492 @t2235))))))) % 6.62/6.87 (assume @p1753 (forall @t2527 (=> @t2526 (=> @t2525 (=> @t2522 (tptp.hBOOL (tptp.hAPP @t2521 @t2270))))))) % 6.62/6.87 (assume @p1754 (forall @t2527 (=> @t2526 (=> @t2525 (=> (tptp.hBOOL (tptp.hAPP @t2528 @t403)) (tptp.hBOOL (tptp.hAPP @t2438 @t1471))))))) % 6.62/6.87 (assume @p1755 (forall @t2537 (=> @t2536 (=> @t2534 (=> @t2531 (tptp.hBOOL (tptp.hAPP @t2323 @t2529))))))) % 6.62/6.87 (assume @p1756 (forall @t2537 (=> @t2540 (=> @t2539 (=> @t2531 (tptp.hBOOL (tptp.hAPP @t2538 @t2273))))))) % 6.62/6.87 (assume @p1757 (forall @t2546 (=> @t2545 (=> @t2539 (=> (tptp.hBOOL (tptp.hAPP @t2533 @t407)) (=> @t2542 @t2541)))))) % 6.62/6.87 (assume @p1758 (forall @t2550 (=> @t2549 (=> @t2536 (=> @t2534 (=> @t2522 (=> @t2531 (=> @t2548 @t2547)))))))) % 6.62/6.87 (assume @p1759 (forall @t2374 (tptp.hBOOL (tptp.hAPP @t2518 @t2552)))) % 6.62/6.87 (assume @p1760 (not (tptp.hBOOL (tptp.hAPP @t2518 (tptp.c_Orderings_Otop__class_Otop @t2389))))) % 6.62/6.87 (assume @p1761 (forall @t2226 (tptp.hBOOL (tptp.hAPP @t2518 @t2554)))) % 6.62/6.87 (assume @p1762 (forall @t2374 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2557 @t2303) @t1455)) (tptp.hAPP @t2553 @t2556)) @t2552))) % 6.62/6.87 (assume @p1763 (forall @t2550 (=> @t2549 (=> @t2540 (=> @t2542 (=> @t2539 (=> @t2531 (=> @t2548 @t2541)))))))) % 6.62/6.87 (assume @p1764 (forall @t2546 (=> @t2545 (=> @t2560 (=> @t2559 (=> (tptp.hBOOL (tptp.hAPP @t2558 @t2532)) @t2547)))))) % 6.62/6.87 (assume @p1765 (forall @t2564 (= (forall @t1284 (=> @t2563 @t2562)) (forall @t7 (=> @t2561 @t1080))))) % 6.62/6.87 (assume @p1766 (forall @t2564 (= (exists @t1284 (and @t2563 @t2562)) (exists @t7 (and @t2561 @t1080))))) % 6.62/6.87 (assume @p1767 (forall @t2570 (=> (forall @t2318 (tptp.hBOOL (tptp.hAPP @t2569 @t2567))) (tptp.hBOOL (tptp.hAPP @t2566 @t2565))))) % 6.62/6.87 (assume @p1768 (forall @t2570 (=> (forall @t2318 (= @t2568 @t2567)) (= @t2499 @t2565)))) % 6.62/6.87 (assume @p1769 (forall @t2571 (=> (forall @t2318 (tptp.hBOOL (tptp.hAPP @t2569 @t447))) (tptp.hBOOL (tptp.hAPP @t2566 @t447))))) % 6.62/6.87 (assume @p1770 (forall @t2578 (and @t2577 (=> (not @t2574) (= @t2572 @t2273))))) % 6.62/6.87 (assume @p1771 (forall @t2507 (=> @t665 (=> @t2582 (= (tptp.hAPP @t2580 @t2579) @t2473))))) % 6.62/6.87 (assume @p1772 (forall @t2585 (=> @t2142 (=> @t2276 (= (tptp.hAPP (tptp.hAPP @t2584 (tptp.hAPP @t2583 @t793)) @t1216) (tptp.hAPP @t2583 (tptp.hAPP @t1221 @t1976))))))) % 6.62/6.87 (assume @p1773 (forall (@list @t1228 @t74 @t45 @t125 @t447 @t2 @t39 @t8) (=> @t487 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2587 @t3) @t45)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t1604) @t447)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2587 @t1228) @t45)) @t2586))))) % 6.62/6.87 (assume @p1774 (forall @t2591 (= (tptp.c_Com_Ocom_Ocom__size @t2590) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1223 (tptp.c_Com_Ocom_Ocom__size @t2589)) (tptp.c_Com_Ocom_Ocom__size @t2588))) @t1976)))) % 6.62/6.87 (assume @p1775 (forall @t2374 (tptp.hBOOL (tptp.hAPP @t1285 @t2592)))) % 6.62/6.87 (assume @p1776 (forall @t2374 (tptp.hBOOL (tptp.hAPP @t2518 @t2593)))) % 6.62/6.87 (assume @p1777 (forall @t2594 (= (tptp.hAPP (tptp.hAPP @t2584 @t2273) @t407) @t2273))) % 6.62/6.87 (assume @p1778 (forall @t2600 (= (tptp.hAPP @t2599 @t2597) @t2596))) % 6.62/6.87 (assume @p1779 (forall @t2600 (= @t2602 @t2601))) % 6.62/6.87 (assume @p1780 (forall @t679 (=> @t2605 (= (tptp.hAPP @t2604 @t1991) @t1991)))) % 6.62/6.87 (assume @p1781 (forall @t679 (=> @t2605 (= (tptp.hAPP (tptp.hAPP @t2603 @t1991) @t403) @t1991)))) % 6.62/6.87 (assume @p1782 (forall @t679 (=> @t2605 (= (tptp.hAPP @t2604 @t1322) @t403)))) % 6.62/6.87 (assume @p1783 (forall @t1375 (=> @t2428 (=> @t2427 (tptp.hBOOL (tptp.hAPP @t2323 @t2607)))))) % 6.62/6.87 (assume @p1784 (forall @t2600 (=> @t2610 (=> @t2608 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2596) @t2273)))))) % 6.62/6.87 (assume @p1785 (forall @t2616 (=> @t2615 (= @t2613 (tptp.hBOOL (tptp.hAPP @t2274 @t13)))))) % 6.62/6.87 (assume @p1786 (forall @t2616 (=> @t2619 (= @t2613 (tptp.hBOOL (tptp.hAPP @t2617 @t2273)))))) % 6.62/6.87 (assume @p1787 (forall @t2622 (=> @t2621 (= (tptp.hAPP @t2595 @t403) @t2270)))) % 6.62/6.87 (assume @p1788 (forall @t604 (=> @t2605 (and (=> @t2625 (= @t2624 @t1991)) @t2627)))) % 6.62/6.87 (assume @p1789 (forall @t700 (=> @t2605 (=> @t2010 (= (tptp.hAPP @t2628 @t407) @t403))))) % 6.62/6.87 (assume @p1790 (forall @t700 (=> @t2605 (=> @t2010 (= (tptp.hAPP (tptp.hAPP @t2603 @t785) @t407) @t403))))) % 6.62/6.87 (assume @p1791 (forall @t604 (=> @t2605 (=> @t2626 (= (tptp.hAPP (tptp.hAPP @t2603 @t761) @t672) @t2623))))) % 6.62/6.87 (assume @p1792 (forall @t604 (=> @t2605 @t2627))) % 6.62/6.87 (assume @p1793 (forall @t679 (=> @t2605 (=> @t2012 (= (tptp.hAPP @t2604 @t403) @t1322))))) % 6.62/6.87 (assume @p1794 (forall @t2630 (=> @t430 (=> @t2629 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t1199 @t1455) @t53))))) % 6.62/6.87 (assume @p1795 (forall (@list @t1199 @t1229) (= (= @t2635 @t2273) (or @t2634 (and (tptp.hBOOL (tptp.hAPP @t2323 @t1229)) (tptp.hBOOL (tptp.hAPP @t2633 @t1199))) (and @t2632 (tptp.hBOOL (tptp.hAPP @t2432 @t1229))))))) % 6.62/6.87 (assume @p1796 (forall @t2616 (=> @t2619 (= @t2637 @t2636)))) % 6.62/6.87 (assume @p1797 (forall (@list @t1229 @t1199) (=> @t2639 (= (tptp.hBOOL (tptp.hAPP @t2274 @t2635)) (tptp.hBOOL (tptp.hAPP @t2638 @t1229)))))) % 6.62/6.87 (assume @p1798 (forall @t2641 (=> @t2636 (= (tptp.hBOOL (tptp.hAPP @t2274 @t2612)) (and (tptp.hBOOL (tptp.hAPP @t2640 @t13)) @t2619))))) % 6.62/6.87 (assume @p1799 (forall @t2645 (=> @t2644 (=> @t2531 (=> @t2548 (tptp.hBOOL (tptp.hAPP @t2643 @t2642))))))) % 6.62/6.87 (assume @p1800 (forall @t2600 (=> @t2644 (=> @t2647 @t2646)))) % 6.62/6.87 (assume @p1801 (forall @t2600 (=> @t2644 (=> @t2649 @t2648)))) % 6.62/6.87 (assume @p1802 (forall @t2616 (=> @t2615 (= @t2637 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t13) @t2273)))))) % 6.62/6.87 (assume @p1803 (forall @t2600 (=> @t2651 (=> @t2608 @t2646)))) % 6.62/6.87 (assume @p1804 (forall @t2645 (=> @t2610 (=> @t2531 (=> @t2548 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2642) @t2596))))))) % 6.62/6.87 (assume @p1805 (forall @t2600 (=> @t2651 (=> @t2652 @t2648)))) % 6.62/6.87 (assume @p1806 (forall @t2656 (=> @t2655 (=> @t2608 (tptp.hBOOL (tptp.hAPP @t2643 @t2654)))))) % 6.62/6.87 (assume @p1807 (forall @t2656 (=> @t2655 (=> @t2647 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2654) @t2596)))))) % 6.62/6.87 (assume @p1808 (forall @t2374 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t2657) @t1426) @t2592))) % 6.62/6.87 (assume @p1809 (forall @t198 (=> @t568 (= (tptp.hAPP @t820 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t60 @t109)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t868 @t869))))) % 6.62/6.87 (assume @p1810 (forall (@list @t1216 @t371) (=> (tptp.hBOOL (tptp.hAPP @t2274 @t371)) (=> (tptp.hBOOL (tptp.hAPP @t2658 @t1216)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 (tptp.hAPP @t2606 @t1216)) @t371)))))) % 6.62/6.87 (assume @p1811 (forall @t2661 (=> @t2660 (= (tptp.hAPP @t2595 @t2659) (tptp.hAPP (tptp.hAPP @t2584 @t2596) @t404))))) % 6.62/6.87 (assume @p1812 (forall @t411 (=> @t2605 (=> @t2010 (= (tptp.hAPP (tptp.hAPP @t2603 @t2663) @t407) @t2662))))) % 6.62/6.87 (assume @p1813 (forall @t411 (=> @t2605 (=> @t2010 (= (tptp.hAPP (tptp.hAPP @t2603 @t2664) @t407) @t2662))))) % 6.62/6.87 (assume @p1814 (forall @t700 (=> @t2605 (=> @t2010 (= (tptp.hAPP (tptp.hAPP @t2603 @t585) @t407) @t2665))))) % 6.62/6.87 (assume @p1815 (forall @t700 (=> @t2605 (=> @t2010 (= (tptp.hAPP (tptp.hAPP @t2603 @t581) @t407) @t2665))))) % 6.62/6.87 (assume @p1816 (= (tptp.c_Com_Ocom_Ocom__size tptp.c_Com_Ocom_OSKIP) @t1975)) % 6.62/6.87 (assume @p1817 (forall @t2480 (=> @t430 (= (tptp.hAPP @t2667 @t2474) @t53)))) % 6.62/6.87 (assume @p1818 (forall @t155 (=> @t665 (= (tptp.hAPP (tptp.hAPP @t1551 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t13 @t57)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t82 @t149)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t8 @t2502 @t2501))))) % 6.62/6.87 (assume @p1819 (forall @t2374 (= (tptp.hAPP @t2225 @t2592) (tptp.hAPP @t2457 @t2657)))) % 6.62/6.87 (assume @p1820 (forall @t2374 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t2668) @t1426) @t2593))) % 6.62/6.87 (assume @p1821 (forall @t2678 (= (tptp.hBOOL @t2677) (and (=> @t2634 @t2358) (=> @t2639 (forall @t1033 (=> (exists @t2133 @t2676) @t2670))) (=> @t2675 (forall @t1033 (=> (exists @t2133 @t2673) @t2670))))))) % 6.62/6.87 (assume @p1822 (forall (@list @t2682 @t381 @t2679 @t2680) (=> (= @t2680 (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2686 @t381)) @t2682)) (=> (and (=> @t2684 (and (tptp.hBOOL (tptp.hAPP @t2323 @t2682)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2682) @t2679)))) (=> @t2685 (and (tptp.hBOOL (tptp.hAPP @t2683 @t2682)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2682) @t2273))))) (=> @t2681 (= (tptp.hAPP (tptp.hAPP @t2584 @t2680) @t2679) @t381)))))) % 6.62/6.87 (assume @p1823 (forall @t1375 (=> @t2428 (=> @t2427 (tptp.hBOOL (tptp.hAPP @t2323 @t2572)))))) % 6.62/6.87 (assume @p1824 (forall @t2578 @t2577)) % 6.62/6.87 (assume @p1825 (forall @t1375 (= (tptp.c_Nat__Transfer_Otsub @t2364 @t2367) (tptp.hAPP @t2264 (tptp.hAPP (tptp.hAPP @t467 @t371) @t381))))) % 6.62/6.87 (assume @p1826 (forall @t2480 (=> @t665 (=> @t2688 (=> @t2477 (= (tptp.hAPP @t2687 @t2474) @t2579)))))) % 6.62/6.87 (assume @p1827 (forall @t2690 (= (tptp.c_Com_Ocom_Ocom__size @t317) @t2689))) % 6.62/6.87 (assume @p1828 (forall @t2697 (and (=> @t2694 (= @t2693 @t2696)) (=> @t2695 (= @t2693 (tptp.hAPP @t2266 (tptp.hAPP @t2692 @t2691))))))) % 6.62/6.87 (assume @p1829 (forall @t2507 (=> @t665 (=> @t2582 (= (tptp.hAPP @t2700 @t2699) @t2698))))) % 6.62/6.87 (assume @p1830 (forall @t258 (=> @t352 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1902 @t2701) (tptp.c_Predicate_OPowp @t8 @t74)))))) % 6.62/6.87 (assume @p1831 (forall @t1192 (and (=> @t2704 @t2705) (=> (not @t2704) (= @t2703 @t1975))))) % 6.62/6.87 (assume @p1832 (forall @t2591 (= (tptp.hAPP @t2706 @t2590) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t2706 @t2589)) (tptp.hAPP @t2706 @t2588))) @t1976)))) % 6.62/6.87 (assume @p1833 (forall @t2374 (tptp.hBOOL (tptp.hAPP @t1285 @t2707)))) % 6.62/6.87 (assume @p1834 (forall @t2374 (tptp.hBOOL (tptp.hAPP @t2518 @t2708)))) % 6.62/6.87 (assume @p1835 (forall @t1195 (= (tptp.hAPP @t2710 @t2713) (tptp.hAPP (tptp.hAPP @t2709 @t2711) @t404)))) % 6.62/6.87 (assume @p1836 (forall @t1227 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t2715) @t793)))) % 6.62/6.87 (assume @p1837 (forall @t1294 (=> @t1254 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t2714 @t1216)) (tptp.hAPP @t2716 @t1216)))))) % 6.62/6.87 (assume @p1838 (forall @t1321 (= (tptp.hAPP @t2714 @t1976) @t793))) % 6.62/6.87 (assume @p1839 (forall @t1227 @t2717)) % 6.62/6.87 (assume @p1840 (forall @t1309 (and (=> @t2720 (= @t2718 @t1975)) (=> (not @t2720) @t2719)))) % 6.62/6.87 (assume @p1841 (forall @t2600 (= (tptp.hAPP @t2264 @t2711) (tptp.hAPP (tptp.hAPP @t2584 @t2722) @t2721)))) % 6.62/6.87 (assume @p1842 (forall @t1375 (= (tptp.hAPP (tptp.hAPP @t2584 @t2364) @t2367) (tptp.hAPP @t2264 (tptp.hAPP (tptp.hAPP @t2709 @t371) @t381))))) % 6.62/6.87 (assume @p1843 (forall @t2630 (=> @t430 (=> @t2629 @t2724)))) % 6.62/6.87 (assume @p1844 (forall @t2727 (=> @t430 (= @t2724 @t2726)))) % 6.62/6.87 (assume @p1845 (forall @t2727 (=> @t430 (= (= @t53 @t2723) @t2726)))) % 6.62/6.87 (assume @p1846 (forall @t2480 (=> @t665 (=> @t2479 (=> @t2477 (= (tptp.hAPP @t2730 @t2728) @t2698)))))) % 6.62/6.87 (assume @p1847 (forall @t2480 (=> @t430 (= (tptp.hAPP @t2731 @t2728) @t53)))) % 6.62/6.87 (assume @p1848 (forall @t1294 (=> @t2142 (=> @t1254 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t2732 @t1211)) (tptp.hAPP @t2732 @t793))))))) % 6.62/6.87 (assume @p1849 (forall @t1309 (=> @t2146 @t2719))) % 6.62/6.87 (assume @p1850 (forall @t1240 (=> @t2027 (= (tptp.hAPP (tptp.hAPP @t2709 @t1446) @t1211) @t793)))) % 6.62/6.87 (assume @p1851 (forall @t1240 (=> @t2027 (= (tptp.hAPP (tptp.hAPP @t2709 @t1445) @t1211) @t793)))) % 6.62/6.87 (assume @p1852 (forall @t1240 (=> @t2734 (=> @t2142 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t2715) @t793)))))) % 6.62/6.87 (assume @p1853 (forall @t2374 (= (tptp.hAPP @t2225 @t2707) @t2458))) % 6.62/6.87 (assume @p1854 (= (tptp.hAPP @t2706 tptp.c_Com_Ocom_OSKIP) @t1975)) % 6.62/6.87 (assume @p1855 (forall @t1240 (=> @t2027 @t2737))) % 6.62/6.87 (assume @p1856 (forall @t1240 (=> @t2027 (and @t2717 @t2737)))) % 6.62/6.87 (assume @p1857 (forall @t2678 (= (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP (tptp.hAPP @t2709 @t1196) @t1199))) (and (=> @t2030 @t2177) (=> @t2741 (forall @t2740 (=> @t2739 (=> @t2738 @t2670)))))))) % 6.62/6.87 (assume @p1858 (forall @t155 (=> @t665 (= (tptp.hAPP (tptp.hAPP @t1551 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t13 @t57)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t82 @t149)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t2502 @t2501))))) % 6.62/6.87 (assume @p1859 (forall @t198 (=> @t568 (= (tptp.hAPP @t820 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t60) @t109)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t868 @t869))))) % 6.62/6.87 (assume @p1860 (forall @t198 (=> @t568 (= (tptp.hAPP @t820 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t8 @t60 @t109)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t8 @t868) @t869))))) % 6.62/6.87 (assume @p1861 (forall @t2480 (=> @t430 (= (tptp.hAPP @t2731 @t2742) @t53)))) % 6.62/6.87 (assume @p1862 (forall @t1740 (= @t2743 @t2704))) % 6.62/6.87 (assume @p1863 (forall @t1192 (=> @t50 (=> @t521 @t2743)))) % 6.62/6.87 (assume @p1864 (forall @t1740 (=> @t2743 @t50))) % 6.62/6.87 (assume @p1865 (forall @t1740 (=> @t2743 @t521))) % 6.62/6.87 (assume @p1866 (forall @t1240 (=> @t2027 (=> @t1252 @t2736)))) % 6.62/6.87 (assume @p1867 (forall (@list @t1196 @t307 @t180) (= (tptp.hBOOL (tptp.hAPP @t180 @t2746)) (or (and @t1987 @t2177) (exists @t2745 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t2036 @t2744)) @t307)) (tptp.hBOOL (tptp.hAPP @t1197 (tptp.hAPP @t2036 (tptp.hAPP tptp.c_Nat_OSuc @t2744)))) (tptp.hBOOL (tptp.hAPP @t180 @t2744)))))))) % 6.62/6.87 (assume @p1868 (forall (@list @t307 @t2747 @t1196) (=> @t2026 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t2036 @t2747)) @t307)) (tptp.hBOOL (tptp.hAPP @t1197 (tptp.hAPP @t2036 (tptp.hAPP tptp.c_Nat_OSuc @t2747))))) (= @t2747 @t2746))))) % 6.62/6.87 (assume @p1869 (forall @t1192 (=> @t50 (=> @t521 @t2705)))) % 6.62/6.87 (assume @p1870 (forall @t2480 (=> @t665 (=> @t2479 (=> @t2748 (= (tptp.hAPP @t2730 @t2742) @t2579)))))) % 6.62/6.87 (assume @p1871 (forall @t2690 (= (tptp.hAPP @t2706 @t317) @t2749))) % 6.62/6.87 (assume @p1872 (forall @t1064 (= (tptp.c_Sum__Type_OPlus @t8 @t39 @t1021 @t1058) @t1062))) % 6.62/6.87 (assume @p1873 (forall @t1740 (= (= @t2702 (tptp.c_Orderings_Obot__class_Obot @t1061)) (and @t89 @t2750)))) % 6.62/6.87 (assume @p1874 (forall (@list @t13 @t2 @t45 @t8 @t39) (=> @t2754 (=> @t50 (=> (not (= @t161 @t2124)) (and (=> @t67 (= @t2751 (tptp.hAPP @t2753 @t161))) (=> @t128 (= @t2751 @t975)))))))) % 6.62/6.87 (assume @p1875 (forall @t2226 (=> (tptp.hBOOL (tptp.hAPP @t2323 @t1426)) (= @t2554 (tptp.hAPP @t2386 (tptp.hAPP @t2214 @t2755)))))) % 6.62/6.87 (assume @p1876 (forall (@list @t1229 @t2 @t2757 @t8 @t39) (=> @t2762 (=> @t2761 (=> @t2760 (=> (= @t2759 @t2124) (=> @t2758 (= @t2756 @t2124)))))))) % 6.62/6.87 (assume @p1877 (forall @t1522 (=> @t2767 @t2766))) % 6.62/6.87 (assume @p1878 (forall @t1237 (= (tptp.hAPP tptp.c_Int_Onat @t2326) @t1211))) % 6.62/6.87 (assume @p1879 (forall @t679 (=> @t2768 (= (tptp.hAPP (tptp.hAPP @t2763 @t1991) @t403) @t1991)))) % 6.62/6.87 (assume @p1880 (forall @t679 (=> @t2769 (= (tptp.hAPP @t2764 @t1991) @t1991)))) % 6.62/6.87 (assume @p1881 (forall @t621 (=> @t2768 (= @t2771 (tptp.hAPP @t2770 @t407))))) % 6.62/6.87 (assume @p1882 (forall @t679 (=> @t2768 (= (tptp.hAPP @t2764 @t1322) @t403)))) % 6.62/6.87 (assume @p1883 (forall @t416 (=> @t2768 (= (tptp.hAPP (tptp.hAPP @t2763 @t623) @t404) (tptp.hAPP (tptp.hAPP @t618 @t2773) @t2772))))) % 6.62/6.87 (assume @p1884 (forall @t416 (=> @t2768 (= (tptp.hAPP @t673 @t2772) (tptp.hAPP (tptp.hAPP @t2763 @t674) @t404))))) % 6.62/6.87 (assume @p1885 (forall @t416 (=> @t2768 (= (tptp.hAPP @t2774 @t404) (tptp.hAPP (tptp.hAPP @t577 @t2773) @t2772))))) % 6.62/6.87 (assume @p1886 (forall @t733 (=> @t2776 (= (tptp.hAPP (tptp.hAPP @t2775 @t472) @t725) (tptp.hAPP (tptp.hAPP @t436 (tptp.hAPP (tptp.hAPP @t730 (tptp.hAPP (tptp.hAPP @t474 @t2775) @t2)) @t725)) @t45))))) % 6.62/6.87 (assume @p1887 (forall @t604 (=> @t2768 (=> @t2626 (=> (= @t761 @t407) (= @t403 @t2772)))))) % 6.62/6.87 (assume @p1888 (forall @t2061 (=> @t2768 (=> @t2626 (=> (= @t407 @t761) (= @t2772 @t403)))))) % 6.62/6.87 (assume @p1889 (forall @t2784 (=> @t2783 (=> @t2782 (= @t2780 @t2777))))) % 6.62/6.87 (assume @p1890 (forall @t615 (=> @t2783 (=> @t2782 (= @t2786 @t2785))))) % 6.62/6.87 (assume @p1891 (forall @t98 (=> @t2783 (=> (not @t2006) (= (= @t2787 @t1299) @t68))))) % 6.62/6.87 (assume @p1892 (forall @t679 (=> @t2768 @t2789))) % 6.62/6.87 (assume @p1893 (forall @t679 (=> @t2769 (and (=> @t2011 (= @t2788 @t1991)) @t2789)))) % 6.62/6.87 (assume @p1894 (forall @t700 (=> @t2768 (=> @t2010 @t2790)))) % 6.62/6.87 (assume @p1895 (forall @t700 (=> @t2768 (=> @t2010 @t2791)))) % 6.62/6.87 (assume @p1896 (forall (@list @t1211 @t403 @t407 @t372) (=> @t2792 (=> @t2010 @t2766)))) % 6.62/6.87 (assume @p1897 (= @t2793 @t1975)) % 6.62/6.87 (assume @p1898 (= @t1975 @t2793)) % 6.62/6.87 (assume @p1899 (forall (@list @t2794 @t142) (=> @t2797 (=> (tptp.hBOOL (tptp.hAPP @t2323 @t2794)) (= (= @t2796 @t2795) (= @t142 @t2794)))))) % 6.62/6.87 (assume @p1900 (forall @t2385 (=> @t2801 (=> @t2800 (= (= @t2799 @t2798) @t112))))) % 6.62/6.87 (assume @p1901 (forall @t2383 (= @t2804 (forall @t7 (=> @t2382 @t2802))))) % 6.62/6.87 (assume @p1902 (forall @t2383 (= @t2805 (exists @t7 (and @t2382 @t2802))))) % 6.62/6.87 (assume @p1903 (forall @t1506 (=> @t2767 (= (tptp.hAPP @t2806 @t1489) (tptp.hAPP (tptp.hAPP @t1472 (tptp.hAPP @t2806 @t403)) @t1211))))) % 6.62/6.87 (assume @p1904 (= @t1193 @t2807)) % 6.62/6.87 (assume @p1905 (forall @t2393 (= (tptp.hAPP (tptp.hAPP @t2810 @t45) @t74) (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP @t2808 @t2388) @t2387))))) % 6.62/6.87 (assume @p1906 (forall @t2517 (= (tptp.hAPP @t2809 @t2388) @t45))) % 6.62/6.87 (assume @p1907 (forall @t797 (=> (tptp.class_Fields_Ofield__inverse__zero @t39) (=> @t50 (= (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP (tptp.hAPP @t628 (tptp.hAPP (tptp.hAPP @t627 @t2752) @t2)) @t1)) @t45) (tptp.hAPP @t2753 @t815)))))) % 6.62/6.87 (assume @p1908 (forall @t2374 (= (tptp.hAPP @t2516 @t2708) @t2811))) % 6.62/6.87 (assume @p1909 (forall @t972 (=> @t2817 (= (tptp.hAPP (tptp.hAPP @t2816 @t2) @t45) (tptp.hAPP (tptp.hAPP @t2815 @t2814) @t2388))))) % 6.62/6.87 (assume @p1910 (= @t2227 (tptp.hAPP @t2809 @t2513))) % 6.62/6.87 (assume @p1911 (forall @t2819 (= (= @t2818 @t1975) @t2632))) % 6.62/6.87 (assume @p1912 (forall @t2306 (=> @t2822 @t2821))) % 6.62/6.87 (assume @p1913 (forall @t2321 (= @t2825 (and @t2437 @t2320)))) % 6.62/6.87 (assume @p1914 (forall @t2420 (=> @t2437 @t2826))) % 6.62/6.87 (assume @p1915 (forall @t2385 (=> @t2801 (=> @t2800 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t2799) @t2798)) @t2828))))) % 6.62/6.87 (assume @p1916 (= @t2807 @t1976)) % 6.62/6.87 (assume @p1917 (forall @t2306 (and @t2831 (=> (not @t2440) (= @t2829 @t2273))))) % 6.62/6.87 (assume @p1918 (forall @t2832 (= (= @t2310 @t142) (and (= @t307 @t2796) @t2797)))) % 6.62/6.87 (assume @p1919 (forall @t2306 @t2831)) % 6.62/6.87 (assume @p1920 (forall @t2832 (= (tptp.hBOOL (tptp.hAPP @t1197 @t2796)) (tptp.hBOOL (tptp.hAPP @t2324 @t142))))) % 6.62/6.87 (assume @p1921 (forall @t1375 (=> @t2428 (=> @t2427 (= @t2836 @t2833))))) % 6.62/6.87 (assume @p1922 (forall @t1375 (=> @t2428 (= @t2833 @t2836)))) % 6.62/6.87 (assume @p1923 (forall @t1237 (= (tptp.hAPP tptp.c_Int_Onat @t2375) @t1975))) % 6.62/6.87 (assume @p1924 (forall @t972 (=> @t2817 (= (tptp.hAPP @t2237 @t45) (tptp.hAPP (tptp.hAPP @t2837 @t2814) @t2388))))) % 6.62/6.87 (assume @p1925 (forall @t2226 (= (tptp.hAPP @t2516 @t2554) @t2755))) % 6.62/6.87 (assume @p1926 (forall @t2374 (= (tptp.hAPP @t2516 @t2552) @t2811))) % 6.62/6.87 (assume @p1927 (forall @t2439 (= (tptp.hBOOL (tptp.hAPP @t1978 @t2796)) @t2437))) % 6.62/6.87 (assume @p1928 (forall (@list @t793 @t1211 @t403 @t372) (=> @t2792 (=> @t2012 (=> @t1252 (= (tptp.hAPP @t1488 @t1222) (tptp.hAPP (tptp.hAPP @t2763 @t1490) @t1489))))))) % 6.62/6.87 (assume @p1929 (forall @t2321 (=> @t2838 @t2826))) % 6.62/6.87 (assume @p1930 (forall @t2385 (=> @t2801 (=> @t2800 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t2799) @t2798)) @t2840))))) % 6.62/6.87 (assume @p1931 (forall @t2842 (= (= @t2823 @t307) @t2841))) % 6.62/6.87 (assume @p1932 (forall (@list @t787 @t307) (= (= @t307 @t2823) @t2841))) % 6.62/6.87 (assume @p1933 (forall @t2321 (=> (or (tptp.hBOOL (tptp.hAPP @t2274 @t787)) @t2797) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t2823) @t2796)) @t2380)))) % 6.62/6.87 (assume @p1934 (forall @t2843 (= (tptp.hBOOL (tptp.hAPP @t180 @t2818)) (and (forall @t2318 (=> (= @t1229 @t2378) (tptp.hBOOL (tptp.hAPP @t180 @t2315)))) (=> (tptp.hBOOL (tptp.hAPP @t2633 @t2273)) @t2177))))) % 6.62/6.87 (assume @p1935 (forall @t2846 (=> @t2440 (=> @t2845 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2405 @t2415)) (tptp.hAPP (tptp.hAPP @t1223 @t2820) @t2844)))))) % 6.62/6.87 (assume @p1936 (forall @t1375 (=> @t2428 (=> @t2427 (= (tptp.hAPP (tptp.hAPP @t1223 @t2835) @t2834) (tptp.hAPP tptp.c_Int_Onat @t2426)))))) % 6.62/6.87 (assume @p1937 (forall @t2846 (=> @t2440 (= @t2847 (tptp.hAPP (tptp.hAPP @t1302 @t2820) @t2844))))) % 6.62/6.87 (assume @p1938 (forall @t1375 (=> @t2428 (=> @t2427 (= (tptp.hAPP (tptp.hAPP @t1302 @t2835) @t2834) (tptp.hAPP tptp.c_Int_Onat @t2496)))))) % 6.62/6.87 (assume @p1939 (forall @t2393 (= (tptp.hAPP (tptp.hAPP @t2450 @t45) @t74) (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP @t2848 @t2388) @t2387))))) % 6.62/6.87 (assume @p1940 (forall (@list @t392 @t2415) (=> @t2845 (=> @t2417 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2411 @t2415)) (tptp.hAPP (tptp.hAPP @t467 @t2820) @t2844)))))) % 6.62/6.87 (assume @p1941 (forall @t972 (= @t466 (tptp.hAPP tptp.c_Int_Onat @t2336)))) % 6.62/6.87 (assume @p1942 (forall @t2365 (=> @t2428 (= (tptp.hAPP (tptp.hAPP @t2018 @t2835) @t1211) (tptp.hAPP tptp.c_Int_Onat @t2514))))) % 6.62/6.87 (assume @p1943 (forall (@list @t1211 @t392) (=> @t2440 (= (tptp.hAPP tptp.c_Int_Onat @t2849) (tptp.hAPP (tptp.hAPP @t2018 @t2820) @t1211))))) % 6.62/6.87 (assume @p1944 (forall @t972 (= @t2339 (tptp.hAPP tptp.c_Int_Onat @t2338)))) % 6.62/6.87 (assume @p1945 (forall @t1375 (=> @t2428 (=> @t2427 (= (tptp.hAPP (tptp.hAPP @t467 @t2835) @t2834) (tptp.hAPP tptp.c_Int_Onat @t2572)))))) % 6.62/6.87 (assume @p1946 (forall @t2439 (= (tptp.hBOOL (tptp.hAPP @t2169 @t2796)) (tptp.hBOOL (tptp.hAPP @t2658 @t142))))) % 6.62/6.87 (assume @p1947 (forall @t2842 (=> @t2838 (= (tptp.hBOOL (tptp.hAPP @t2824 @t307)) (tptp.hBOOL (tptp.hAPP @t2319 @t2310)))))) % 6.62/6.87 (assume @p1948 (forall @t2306 (=> @t2440 (= (tptp.hAPP tptp.c_Nat_OSuc @t2820) (tptp.hAPP tptp.c_Int_Onat @t2435))))) % 6.62/6.87 (assume @p1949 (forall @t2846 (=> @t2822 (= @t2847 (tptp.hAPP (tptp.hAPP @t1302 (tptp.hAPP tptp.c_Int_Onat @t2285)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2266 @t2415))))))) % 6.62/6.87 (assume @p1950 (forall @t2374 (= (tptp.hAPP @t2516 @t2593) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2555 @t2668))))) % 6.62/6.87 (assume @p1951 (forall (@list @t1196 @t60 @t8) (=> @t2776 (=> (not @t1300) (= (tptp.hAPP (tptp.hAPP @t2236 @t2850) @t2454) (tptp.hAPP (tptp.hAPP @t2775 (tptp.hAPP (tptp.hAPP @t274 (tptp.hAPP @t2850 @t1196)) @t1299)) (tptp.hAPP (tptp.hAPP @t274 @t60) @t1299))))))) % 6.62/6.87 (assume @p1952 (forall @t596 (=> @t2856 (= @t2855 (and (=> @t2102 @t2854) (=> @t2853 (and (=> @t2101 @t2852) (=> @t2851 @t2065)))))))) % 6.62/6.87 (assume @p1953 (forall @t2859 (=> @t2856 (= @t2858 (and (=> @t2102 @t2852) (=> @t2853 (and (=> @t2101 @t2854) (=> @t2851 @t2066)))))))) % 6.62/6.87 (assume @p1954 (forall @t615 (=> @t2860 (=> @t2102 (= @t2855 @t2854))))) % 6.62/6.87 (assume @p1955 (forall @t2784 (=> @t2860 (=> @t2102 (= @t2858 @t2852))))) % 6.62/6.87 (assume @p1956 (forall @t397 (=> @t2867 (=> @t2866 (=> (tptp.hBOOL (tptp.hAPP @t374 @t2865)) (tptp.hBOOL (tptp.hAPP @t2863 @t392))))))) % 6.62/6.87 (assume @p1957 (forall (@list @t2282 @t392 @t381 @t371 @t372) (=> @t2767 (= (tptp.hAPP (tptp.hAPP @t670 @t2862) (tptp.hAPP (tptp.hAPP @t2763 @t392) @t2282)) (tptp.hAPP (tptp.hAPP @t2763 @t752) (tptp.hAPP @t2050 @t2282)))))) % 6.62/6.87 (assume @p1958 (forall @t621 (=> @t2767 @t2790))) % 6.62/6.87 (assume @p1959 (forall @t621 (=> @t2767 @t2791))) % 6.62/6.87 (assume @p1960 (forall @t147 (=> @t2856 (= (tptp.hBOOL (tptp.hAPP @t2064 @t2787)) @t2069)))) % 6.62/6.87 (assume @p1961 (forall @t147 (=> @t2856 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t2787) @t1985)) @t2070)))) % 6.62/6.87 (assume @p1962 (forall @t416 (=> @t2868 (=> @t414 (=> @t2060 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t2773) @t2772))))))) % 6.62/6.87 (assume @p1963 (forall @t416 (=> @t2868 (=> @t414 (=> @t2083 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t2772) @t2773))))))) % 6.62/6.87 (assume @p1964 (forall @t147 (=> @t2856 (= (tptp.hBOOL (tptp.hAPP @t2055 @t2787)) (or (and @t2086 @t2870) (and @t2087 @t2869)))))) % 6.62/6.87 (assume @p1965 (forall @t147 (=> @t2856 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t2787) @t1985)) (or (and @t2086 @t2869) (and @t2087 @t2870)))))) % 6.62/6.87 (assume @p1966 (forall @t386 (=> @t2867 (=> @t2872 (=> @t2866 @t2871))))) % 6.62/6.87 (assume @p1967 (forall @t386 (=> @t2867 (=> @t2872 (=> @t2875 @t2874))))) % 6.62/6.87 (assume @p1968 (forall @t386 (=> @t2867 (=> @t2876 (=> @t2866 @t2874))))) % 6.62/6.87 (assume @p1969 (forall @t386 (=> @t2867 (=> @t2876 (=> @t2875 @t2871))))) % 6.62/6.87 (assume @p1970 (forall @t416 (=> @t2867 (=> @t698 (=> @t2116 @t2877))))) % 6.62/6.87 (assume @p1971 (forall @t411 (=> @t2867 (=> @t695 (=> @t2119 @t2877))))) % 6.62/6.87 (assume @p1972 (forall (@list @t787 @t60 @t142 @t109 @t8) (=> @t2776 (=> @t2053 (=> (not @t2878) (= (= (tptp.hAPP (tptp.hAPP @t2775 @t60) @t109) (tptp.hAPP (tptp.hAPP @t2775 @t787) @t142)) (= @t790 @t791))))))) % 6.62/6.87 (assume @p1973 (forall @t604 (=> @t2767 (=> @t2626 (= (tptp.hAPP (tptp.hAPP @t2763 @t2080) @t2079) @t2765))))) % 6.62/6.87 (assume @p1974 (forall @t604 (=> @t2767 (=> @t2626 (= (tptp.hAPP (tptp.hAPP @t2763 @t761) @t672) @t2765))))) % 6.62/6.87 (assume @p1975 (forall @t2859 (=> @t2880 (= @t2780 (and (=> @t2782 @t2777) @t2879))))) % 6.62/6.87 (assume @p1976 (forall @t596 (=> @t2880 (= @t2786 (and (=> @t2782 @t2785) @t2879))))) % 6.62/6.87 (assume @p1977 (forall @t386 (=> @t2867 (=> @t2165 (=> @t2866 @t2881))))) % 6.62/6.87 (assume @p1978 (forall @t386 (=> @t2867 (=> @t2165 (=> @t2875 @t2882))))) % 6.62/6.87 (assume @p1979 (forall @t2888 (=> @t2867 (=> @t2872 (=> @t384 (=> @t2887 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t2282) @t392)) @t2886))))))) % 6.62/6.87 (assume @p1980 (forall @t2888 (=> @t2867 (=> @t2165 (=> @t685 (=> @t2887 (=> @t2889 @t2886))))))) % 6.62/6.87 (assume @p1981 (forall @t2888 (=> @t2867 (=> @t2165 (=> @t384 (=> @t2887 (=> @t2889 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t2885) @t2884))))))))) % 6.62/6.87 (assume @p1982 (forall @t386 (=> @t2867 (=> @t2890 (=> @t2866 @t2882))))) % 6.62/6.87 (assume @p1983 (forall @t386 (=> @t2867 (=> @t2890 (=> @t2875 @t2881))))) % 6.62/6.87 (assume @p1984 (forall @t596 (=> @t2856 (= @t2893 (and (=> @t2102 @t2892) (=> @t2853 (and (=> @t2101 @t2891) (=> @t2851 @t2087)))))))) % 6.62/6.87 (assume @p1985 (forall @t2859 (=> @t2856 (= @t2895 (and (=> @t2102 @t2891) (=> @t2853 (and (=> @t2101 @t2892) (=> @t2851 @t2086)))))))) % 6.62/6.87 (assume @p1986 (forall @t615 (=> @t2860 (=> @t2102 (= @t2893 @t2892))))) % 6.62/6.87 (assume @p1987 (forall @t2784 (=> @t2860 (=> @t2102 (= @t2895 @t2891))))) % 6.62/6.87 (assume @p1988 (forall @t397 (=> @t2867 (=> @t2866 (=> (tptp.hBOOL (tptp.hAPP @t684 @t2865)) (tptp.hBOOL (tptp.hAPP @t2873 @t392))))))) % 6.62/6.87 (assume @p1989 (forall @t856 (=> @t2867 (=> @t2866 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t2865) @t371)) (tptp.hBOOL (tptp.hAPP @t687 @t2862))))))) % 6.62/6.87 (assume @p1990 (forall @t615 (=> @t2860 (=> @t2101 (= @t2893 @t2891))))) % 6.62/6.87 (assume @p1991 (forall @t2784 (=> @t2860 (=> @t2101 (= @t2895 @t2892))))) % 6.62/6.87 (assume @p1992 (forall @t411 (=> @t2867 (=> @t695 (=> @t2116 @t2899))))) % 6.62/6.87 (assume @p1993 (forall @t416 (=> @t2867 (=> @t698 (=> @t2119 @t2899))))) % 6.62/6.87 (assume @p1994 (forall @t2906 (=> @t2792 (=> @t2905 (=> @t2904 (= (tptp.hAPP @t2903 @t2902) (tptp.hAPP (tptp.hAPP @t2763 (tptp.hAPP (tptp.hAPP @t577 @t752) @t2901)) @t2900))))))) % 6.62/6.87 (assume @p1995 (forall @t2908 (=> @t2792 (=> @t2904 (= (tptp.hAPP (tptp.hAPP @t577 @t2885) @t381) (tptp.hAPP @t2907 @t392)))))) % 6.62/6.87 (assume @p1996 (forall @t397 (=> @t2767 (=> @t2905 (= (tptp.hAPP @t2903 @t392) @t2909))))) % 6.62/6.87 (assume @p1997 (forall @t2908 (=> @t2792 (=> @t2904 (= (tptp.hAPP @t923 @t2911) (tptp.hAPP (tptp.hAPP @t2763 (tptp.hAPP (tptp.hAPP @t577 @t2910) @t381)) @t392)))))) % 6.62/6.87 (assume @p1998 (forall @t856 (=> @t2767 (=> @t2905 (= (tptp.hAPP @t2912 @t2862) @t2909))))) % 6.62/6.87 (assume @p1999 (forall @t2906 (=> @t2792 (=> @t2905 (=> @t2904 (= (tptp.hAPP (tptp.hAPP @t618 @t2862) @t2902) (tptp.hAPP (tptp.hAPP @t2763 (tptp.hAPP (tptp.hAPP @t618 @t752) @t2901)) @t2900))))))) % 6.62/6.87 (assume @p2000 (forall @t2908 (=> @t2792 (=> @t2904 (= (tptp.hAPP (tptp.hAPP @t618 @t2885) @t381) (tptp.hAPP (tptp.hAPP @t2763 (tptp.hAPP @t938 @t2865)) @t392)))))) % 6.62/6.87 (assume @p2001 (forall @t2908 (=> @t2792 (=> @t2904 (= (tptp.hAPP @t938 @t2911) (tptp.hAPP (tptp.hAPP @t2763 (tptp.hAPP (tptp.hAPP @t618 @t2910) @t381)) @t392)))))) % 6.62/6.87 (assume @p2002 (forall @t621 (=> @t2867 (=> @t698 (tptp.hBOOL (tptp.hAPP @t696 @t2913)))))) % 6.62/6.87 (assume @p2003 (forall @t621 (=> @t2867 (=> @t698 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t2913) @t407)))))) % 6.62/6.87 (assume @p2004 (forall @t416 (=> @t2868 (=> @t414 (=> @t2083 @t2914))))) % 6.62/6.87 (assume @p2005 (forall @t411 (=> @t2867 (=> @t410 (=> @t2060 @t2914))))) % 6.62/6.87 (assume @p2006 (forall @t2784 (=> @t2860 (=> @t2101 (= @t2858 @t2854))))) % 6.62/6.87 (assume @p2007 (forall @t615 (=> @t2860 (=> @t2101 (= @t2855 @t2852))))) % 6.62/6.87 (assume @p2008 (forall @t856 (=> @t2867 (=> @t2866 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t2865) @t371)) (tptp.hBOOL (tptp.hAPP @t393 @t2862))))))) % 6.62/6.87 (assume @p2009 (forall @t1416 (= (tptp.c_Int_Onat__aux @t1261 @t1211) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP tptp.c_Int_Onat @t1261)) @t1211)))) % 6.62/6.87 (assume @p2010 (forall @t2393 (=> @t2919 (=> @t2918 (= @t2917 (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t2810 @t2916) @t2915))))))) % 6.62/6.87 (assume @p2011 (forall @t2393 (=> @t2919 (=> @t2918 (= @t2920 (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t2450 @t2916) @t2915))))))) % 6.62/6.87 (assume @p2012 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t2323)) % 6.62/6.87 (assume @p2013 (forall @t483 (=> @t2817 (=> @t2919 (= @t2922 (tptp.hAPP (tptp.hAPP @t2816 @t2921) @t2916)))))) % 6.62/6.87 (assume @p2014 (tptp.c_Nat__Transfer_Onat__set @t2513)) % 6.62/6.87 (assume @p2015 (forall @t2393 (=> @t2919 (=> @t2918 (tptp.c_Nat__Transfer_Onat__set @t2917))))) % 6.62/6.87 (assume @p2016 (forall @t2393 (=> @t2919 (=> @t2918 (tptp.c_Nat__Transfer_Onat__set @t2920))))) % 6.62/6.87 (assume @p2017 (forall (@list @t199) (= (tptp.c_Nat__Transfer_Onat__set @t199) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2923 @t199)) @t2382))))) % 6.62/6.87 (assume @p2018 (forall (@list @t447) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t2386 @t447)))) % 6.62/6.87 (assume @p2019 (forall @t2393 (=> @t2919 (=> @t2918 (= @t106 (= @t2916 @t2915)))))) % 6.62/6.87 (assume @p2020 (forall @t2925 (=> @t2919 (=> @t2924 @t2801)))) % 6.62/6.87 (assume @p2021 (forall @t2517 (=> @t2919 (= (tptp.hAPP @t2386 @t2916) @t45)))) % 6.62/6.87 (assume @p2022 (forall @t2517 (=> @t2919 (= (tptp.hBOOL (tptp.hAPP @t2518 @t45)) (tptp.hBOOL (tptp.hAPP @t1285 @t2916)))))) % 6.62/6.87 (assume @p2023 (forall @t2517 (=> @t2919 (= (tptp.hAPP @t2516 @t45) (tptp.hAPP @t2225 @t2916))))) % 6.62/6.87 (assume @p2024 (forall @t2393 (=> @t2919 (=> @t2918 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2390 @t45) @t74)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2391 @t2916) @t2915))))))) % 6.62/6.87 (assume @p2025 (forall @t2393 (=> @t2919 (=> @t2918 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2397 @t45) @t74)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2398 @t2916) @t2915))))))) % 6.62/6.87 (assume @p2026 (forall @t483 (=> @t2817 (=> @t2919 (= @t2927 (tptp.hAPP (tptp.hAPP @t2236 @t2921) @t2916)))))) % 6.62/6.87 (assume @p2027 (forall @t496 (=> @t2754 (=> @t50 (=> @t260 (=> (forall @t7 (=> @t1816 (not @t2126))) (= (tptp.hAPP @t974 @t1039) (tptp.hAPP (tptp.hAPP @t2752 (tptp.hAPP (tptp.hAPP @t812 @t975) @t2928)) (tptp.hAPP @t974 @t1553))))))))) % 6.62/6.87 (assume @p2028 (forall @t2396 (=> @t2929 (=> @t2919 (= @t2924 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1281 @t2799) @t2916))))))) % 6.62/6.87 (assume @p2029 (forall @t2934 (=> @t1505 (and (=> @t2932 (= @t2931 (tptp.hAPP @t834 (tptp.hAPP @t2342 (tptp.hAPP tptp.c_Int_Onat @t2933))))) (=> (not @t2932) (= @t2931 (tptp.hAPP @t2342 (tptp.hAPP tptp.c_Int_Onat @t1216)))))))) % 6.62/6.87 (assume @p2030 (forall (@list @t1229 @t74 @t2 @t2757 @t8 @t39) (=> @t2762 (=> @t2761 (=> @t2760 (=> (= @t2759 @t74) (=> @t2758 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t2756) @t74))))))))) % 6.62/6.87 (assume @p2031 (= (tptp.hAPP @t2935 @t1975) (tptp.hAPP @t2232 @t1444))) % 6.62/6.87 (assume @p2032 (forall @t198 (=> @t665 (= (= @t2938 @t2937) @t112)))) % 6.62/6.87 (assume @p2033 (forall @t2942 (=> @t2356 (= (= @t2941 @t2940) @t2399)))) % 6.62/6.87 (assume @p2034 (forall @t1237 (= (tptp.hAPP @t2943 @t2326) @t2326))) % 6.62/6.87 (assume @p2035 (tptp.c_Nat__Transfer_Ois__nat @t2273)) % 6.62/6.87 (assume @p2036 (forall @t1375 (=> @t2945 (=> @t2944 (tptp.c_Nat__Transfer_Ois__nat @t2426))))) % 6.62/6.87 (assume @p2037 (forall @t2306 (tptp.c_Nat__Transfer_Ois__nat @t2384))) % 6.62/6.87 (assume @p2038 (tptp.c_Nat__Transfer_Ois__nat @t2270)) % 6.62/6.87 (assume @p2039 (forall @t1375 (=> @t2945 (=> @t2944 (tptp.c_Nat__Transfer_Ois__nat @t2496))))) % 6.62/6.87 (assume @p2040 (forall @t1375 (=> @t2945 (=> @t2944 (tptp.c_Nat__Transfer_Ois__nat @t2607))))) % 6.62/6.87 (assume @p2041 (forall @t2365 (=> @t2945 (tptp.c_Nat__Transfer_Ois__nat @t2514)))) % 6.62/6.87 (assume @p2042 (forall @t1375 (=> @t2945 (=> @t2944 (tptp.c_Nat__Transfer_Ois__nat @t2572))))) % 6.62/6.87 (assume @p2043 (forall @t1171 (=> @t1505 (= (tptp.hAPP @t2930 @t2273) @t1991)))) % 6.62/6.87 (assume @p2044 (forall @t2947 (=> @t2356 (= (= @t1985 @t2940) @t2946)))) % 6.62/6.87 (assume @p2045 (forall @t2947 (=> @t2356 (= (= @t2940 @t1985) @t2946)))) % 6.62/6.87 (assume @p2046 (forall @t2942 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t2941) @t2940)) @t2380)))) % 6.62/6.87 (assume @p2047 (forall @t2942 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t2941) @t2940)) @t2320)))) % 6.62/6.87 (assume @p2048 (forall @t2950 (=> @t1505 (= (tptp.hAPP @t2930 @t2404) (tptp.hAPP (tptp.hAPP @t577 @t2949) @t2948))))) % 6.62/6.87 (assume @p2049 (forall @t2950 (=> @t1505 (= (tptp.hAPP @t2930 @t2294) (tptp.hAPP (tptp.hAPP @t670 @t2949) @t2948))))) % 6.62/6.87 (assume @p2050 (forall @t1171 (=> @t1505 (= (tptp.hAPP @t2930 @t2270) @t1322)))) % 6.62/6.87 (assume @p2051 (forall @t2950 (=> @t1505 (= (tptp.hAPP @t2930 (tptp.hAPP (tptp.hAPP @t2297 @t2282) @t392)) (tptp.hAPP (tptp.hAPP @t618 @t2949) @t2948))))) % 6.62/6.87 (assume @p2052 (forall @t1524 (=> @t1505 (= (tptp.hAPP @t2930 @t2326) @t2343)))) % 6.62/6.87 (assume @p2053 (forall @t2951 (=> @t1505 (= (tptp.hAPP @t2930 @t2285) (tptp.hAPP @t834 @t2948))))) % 6.62/6.87 (assume @p2054 (forall @t2947 (=> @t2280 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t2940) @t2262))))) % 6.62/6.87 (assume @p2055 (forall (@list @t1211 @t392 @t372) (=> @t1505 (= (tptp.hAPP @t2930 @t2849) (tptp.hAPP (tptp.hAPP @t1472 @t2948) @t1211))))) % 6.62/6.87 (assume @p2056 (forall @t2952 (= @t2929 @t2801))) % 6.62/6.87 (assume @p2057 (forall @t2240 (=> @t988 (= (tptp.hBOOL (tptp.hAPP @t1449 @t2953)) (tptp.hBOOL (tptp.hAPP @t2725 @t1229)))))) % 6.62/6.87 (assume @p2058 (forall @t198 (=> @t665 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t2938) @t2937)) @t429)))) % 6.62/6.87 (assume @p2059 (forall @t159 (=> @t2280 (= (tptp.hAPP @t2939 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t39 tptp.tc_Int_Oint) @t2) @t45)) (tptp.hAPP (tptp.hAPP @t436 @t2954) @t45))))) % 6.62/6.87 (assume @p2060 (forall @t2925 (=> @t2919 (=> @t2924 @t2929)))) % 6.62/6.87 (assume @p2061 (forall @t159 (=> (and @t947 @t2280) (= (tptp.hAPP @t2939 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t39 tptp.tc_Int_Oint) @t2) @t45)) (tptp.hAPP (tptp.hAPP @t943 @t2954) @t45))))) % 6.62/6.87 (assume @p2062 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t1443) @t1444) @t2935) @t2227)) % 6.62/6.87 (assume @p2063 (forall @t2947 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP @t2064 @t2940)) @t2797)))) % 6.62/6.87 (assume @p2064 (forall @t2947 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t2940) @t1985)) (tptp.hBOOL (tptp.hAPP @t2418 @t2273)))))) % 6.62/6.87 (assume @p2065 (forall @t2947 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP @t2055 @t2940)) @t2437)))) % 6.62/6.87 (assume @p2066 (forall @t2947 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t2940) @t1985)) @t2442)))) % 6.62/6.87 (assume @p2067 (forall @t2951 (=> @t1505 (=> @t2440 (= (tptp.hAPP @t2342 @t2820) @t2948))))) % 6.62/6.87 (assume @p2068 (forall @t2507 (=> @t665 (=> @t2506 (= (tptp.hAPP (tptp.hAPP @t1037 @t2698) @t2956) @t2955))))) % 6.62/6.87 (assume @p2069 (forall @t165 (=> @t568 (= (tptp.hAPP @t820 @t2224) (tptp.hAPP @t2936 @t869))))) % 6.62/6.87 (assume @p2070 (forall @t165 (=> @t568 (= (tptp.hAPP @t820 @t2938) (tptp.hAPP @t2222 @t869))))) % 6.62/6.87 (assume @p2071 (forall @t2507 (=> @t430 (= (tptp.hAPP (tptp.hAPP @t1551 @t2698) @t2956) @t53)))) % 6.62/6.87 (assume @p2072 (forall @t2221 (= (tptp.hAPP @t2935 @t1894) (tptp.hAPP (tptp.hAPP @t2959 @t2958) (tptp.hAPP @t2957 @t2227))))) % 6.62/6.87 (assume @p2073 (forall @t483 (=> @t2961 (= (tptp.hAPP (tptp.hAPP @t2337 @t2) @t45) (tptp.hAPP @t2264 (tptp.hAPP (tptp.hAPP @t1329 @t2960) @t45)))))) % 6.62/6.87 (assume @p2074 (forall @t483 (=> @t2961 (= (tptp.hAPP (tptp.hAPP @t2335 @t2) @t45) (tptp.hAPP @t2264 (tptp.hAPP (tptp.hAPP @t463 @t2960) @t45)))))) % 6.62/6.87 (assume @p2075 (forall (@list @t1196 @t180 @t179) (=> (forall @t7 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t2964) @t1079))) (= (tptp.hAPP (tptp.hAPP @t467 (tptp.hAPP (tptp.hAPP @t2217 @t180) @t2215)) (tptp.hAPP (tptp.hAPP @t2217 @t179) @t2215)) (tptp.hAPP (tptp.hAPP @t2217 (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2962 tptp.tc_Nat_Onat) @t467) @t180)) @t179)) @t2215))))) % 6.62/6.87 (assume @p2076 (forall @t2512 (=> @t477 (and (=> @t1250 (= @t2966 (tptp.hAPP (tptp.hAPP @t274 @t2510) (tptp.hAPP @t2 @t2967)))) (=> @t1891 (= @t2966 @t1985)))))) % 6.62/6.87 (assume @p2077 (forall @t2281 (=> @t2256 (= (tptp.hAPP @t2255 (tptp.hAPP (tptp.hAPP @t2236 @t2250) @t2968)) (tptp.hAPP @t2252 (tptp.hAPP (tptp.hAPP @t587 @t2251) @t1299)))))) % 6.62/6.87 (assume @p2078 (forall @t2374 (tptp.hBOOL (tptp.hAPP @t1285 @t2969)))) % 6.62/6.87 (assume @p2079 (forall @t2564 (= (forall @t1284 (=> @t2972 @t2562)) (forall @t7 (=> @t2971 @t1080))))) % 6.62/6.87 (assume @p2080 (forall @t2564 (= (exists @t1284 (and @t2972 @t2562)) (exists @t7 (and @t2971 @t1080))))) % 6.62/6.87 (assume @p2081 (forall @t2374 (= (tptp.hAPP @t2372 @t2973) @t2969))) % 6.62/6.87 (assume @p2082 (forall @t147 (=> @t430 (= (= @t53 @t2975) @t2974)))) % 6.62/6.87 (assume @p2083 (forall @t147 (=> @t430 (= @t2976 @t2974)))) % 6.62/6.87 (assume @p2084 (forall @t98 (=> @t430 (=> @t2100 @t2976)))) % 6.62/6.87 (assume @p2085 (forall @t155 (=> @t430 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t2975) @t2977)) (or @t2974 @t2466))))) % 6.62/6.87 (assume @p2086 (forall @t147 (=> @t430 (=> @t68 (= @t2975 @t96))))) % 6.62/6.87 (assume @p2087 (forall @t596 (=> @t430 (= (= @t2975 (tptp.hAPP @t153 @t53)) @t2978)))) % 6.62/6.87 (assume @p2088 (forall @t14 (=> @t430 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t13) @t96)))) % 6.62/6.87 (assume @p2089 (forall @t198 (=> @t568 (= (tptp.hAPP @t820 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t60 @t109)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t868 @t869))))) % 6.62/6.87 (assume @p2090 (forall @t2461 (= (tptp.hAPP @t2232 @t2979) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2460 @t2459)))) % 6.62/6.87 (assume @p2091 (forall @t2471 (=> @t444 (= (tptp.hAPP @t2237 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1874 @t1879)) (tptp.hAPP @t2469 @t2965))))) % 6.62/6.87 (assume @p2092 (forall @t2482 (=> @t444 (= (tptp.hAPP @t2237 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1291 @t1290)) (tptp.hAPP @t2481 @t2965))))) % 6.62/6.87 (assume @p2093 (forall @t2374 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2657 @t1426) @t2707))) % 6.62/6.87 (assume @p2094 (forall @t2487 (= (tptp.hAPP @t2486 @t2979) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1231 @t2447)))) % 6.62/6.87 (assume @p2095 (forall @t2374 (= (tptp.hAPP @t2225 @t2969) (tptp.hAPP (tptp.hAPP @t467 @t2973) @t1455)))) % 6.62/6.87 (assume @p2096 (forall @t1251 (=> @t1889 (= @t2980 (tptp.hAPP (tptp.hAPP @t2228 @t1879) @t2965))))) % 6.62/6.87 (assume @p2097 (forall (@list @t1199 @t2) (=> (= @t2509 @t1975) (= (tptp.hAPP @t2981 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1976 @t1199)) (tptp.hAPP @t2981 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1975 @t1199)))))) % 6.62/6.87 (assume @p2098 (forall @t2480 (=> @t665 (=> @t2479 (=> @t2477 (= (tptp.hAPP @t2476 @t2983) @t2982)))))) % 6.62/6.87 (assume @p2099 (forall @t2480 (=> @t430 (= (tptp.hAPP @t2485 @t2983) @t53)))) % 6.62/6.87 (assume @p2100 (forall @t155 (=> @t665 (= (tptp.hAPP @t2984 @t2977) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t2502 @t2501))))) % 6.62/6.87 (assume @p2101 (forall @t155 (=> @t430 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t653 @t2975) @t2977)) (and (or @t2974 (and @t2465 @t2464 (or (tptp.hBOOL (tptp.hAPP @t722 @t13)) (tptp.hBOOL (tptp.hAPP @t919 @t149))))) @t563))))) % 6.62/6.87 (assume @p2102 (forall @t2480 (=> @t665 (=> @t2479 (=> @t2477 (= (tptp.hAPP @t2986 @t2728) @t2982)))))) % 6.62/6.87 (assume @p2103 (forall @t2507 (=> @t430 (= (tptp.hAPP @t2508 @t2982) @t53)))) % 6.62/6.87 (assume @p2104 (forall @t2480 (=> @t430 (= (tptp.hAPP @t2987 @t2728) @t53)))) % 6.62/6.87 (assume @p2105 (forall @t2480 (=> @t430 (= (tptp.hAPP @t2667 @t2983) @t53)))) % 6.62/6.87 (assume @p2106 (forall @t2480 (=> @t430 (= (tptp.hAPP @t2987 @t2742) @t53)))) % 6.62/6.87 (assume @p2107 (forall @t2507 (=> @t430 (= (tptp.hAPP (tptp.hAPP @t1551 @t2982) @t2956) @t53)))) % 6.62/6.87 (assume @p2108 (forall @t2512 (=> @t444 (=> @t1250 (= @t2988 (tptp.hAPP @t2511 (tptp.hAPP @t2237 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1874 @t1196)))))))) % 6.62/6.87 (assume @p2109 (forall @t2520 (=> @t444 (and (=> @t2993 (= @t2991 @t1985)) (=> (not @t2993) (= @t2991 (tptp.hAPP @t2990 @t2989))))))) % 6.62/6.87 (assume @p2110 (forall (@list @t180 @t1196 @t307 @t8) (=> @t444 (=> @t1250 (= (tptp.hAPP @t2994 @t2965) (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP @t180 @t307)) (tptp.hAPP @t2994 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t307 @t1196)))))))) % 6.62/6.87 (assume @p2111 (forall (@list @t2488 @t2 @t1196 @t307 @t8) (=> @t444 (=> (tptp.hBOOL (tptp.hAPP @t1249 @t2967)) (= (tptp.hAPP @t2237 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t307 @t2995)) (tptp.hAPP @t2990 (tptp.hAPP @t2237 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2967 @t2995)))))))) % 6.62/6.87 (assume @p2112 (forall @t2507 (=> @t665 (=> @t2506 (= (tptp.hAPP @t2996 @t2699) @t2982))))) % 6.62/6.87 (assume @p2113 (forall @t2507 (=> @t665 (=> @t2506 (= (tptp.hAPP @t2580 @t2698) @t2982))))) % 6.62/6.87 (assume @p2114 (forall @t2480 (=> @t665 (=> @t2479 (=> @t2748 (= (tptp.hAPP @t2986 @t2742) @t2473)))))) % 6.62/6.87 (assume @p2115 (forall @t2480 (=> @t665 (=> @t2688 (=> @t2477 (= (tptp.hAPP @t2687 @t2983) @t2698)))))) % 6.62/6.87 (assume @p2116 (forall @t2221 (= @t2998 (tptp.hAPP (tptp.hAPP @t2959 (tptp.hAPP @t2997 @t1199)) (tptp.hAPP @t2229 @t2227))))) % 6.62/6.87 (assume @p2117 (forall (@list @t662 @t1196 @t8) (= (tptp.hAPP @t3001 @t662) (tptp.hAPP (tptp.hAPP @t1037 (tptp.hAPP (tptp.hAPP @t2497 @t2968) @t662)) (tptp.hAPP @t662 @t1975))))) % 6.62/6.87 (assume @p2118 (forall @t2507 (=> @t665 (=> @t2582 (= (tptp.hAPP @t2700 @t3003) @t2955))))) % 6.62/6.87 (assume @p2119 (forall @t3010 (=> @t3009 (=> (forall @t7 (=> @t1080 (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t3005 @t149))))) (=> @t3007 (forall @t7 (=> @t1080 (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t3005 @t3004)))))))))) % 6.62/6.87 (assume @p2120 (forall @t3011 (=> (tptp.hBOOL (tptp.hAPP @t2402 @t2273)) (exists @t2318 (= @t371 (tptp.hAPP @t2266 @t2316)))))) % 6.62/6.87 (assume @p2121 (forall @t2374 (tptp.hBOOL (tptp.hAPP @t2518 @t3012)))) % 6.62/6.87 (assume @p2122 (forall @t2221 (tptp.hBOOL (tptp.hAPP @t1285 @t3013)))) % 6.62/6.87 (assume @p2123 (forall @t198 (=> @t665 (= (= @t3016 @t3015) @t112)))) % 6.62/6.87 (assume @p2124 (forall @t198 (=> @t665 (= (= @t3018 @t3017) @t112)))) % 6.62/6.87 (assume @p2125 (forall @t165 (=> @t568 (= (tptp.hAPP @t820 @t3016) (tptp.hAPP @t3002 @t869))))) % 6.62/6.87 (assume @p2126 (forall @t165 (=> @t568 (= (tptp.hAPP @t820 @t3018) (tptp.hAPP @t3014 @t869))))) % 6.62/6.87 (assume @p2127 (forall @t2281 (=> @t430 (= (tptp.hAPP (tptp.hAPP @t1551 (tptp.hAPP @t3014 @t1196)) (tptp.hAPP @t3002 @t1196)) (tptp.hAPP (tptp.hAPP @t46 @t1196) @t53))))) % 6.62/6.87 (assume @p2128 (forall @t1954 (= @t3000 (tptp.hAPP @t2809 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2273 @t2311))))) % 6.62/6.87 (assume @p2129 (forall @t2385 (=> @t2929 @t3019))) % 6.62/6.87 (assume @p2130 (forall @t1954 (= @t2970 @t3000))) % 6.62/6.87 (assume @p2131 (forall @t2221 (= @t2230 @t3013))) % 6.62/6.87 (assume @p2132 (forall @t2226 (= (tptp.hAPP @t2225 (tptp.hAPP @t2999 @t1426)) @t2973))) % 6.62/6.87 (assume @p2133 (forall @t2221 (= (tptp.hAPP @t2999 @t1894) (tptp.hAPP @t2957 @t3013)))) % 6.62/6.87 (assume @p2134 (forall @t2240 (=> @t988 (= (tptp.hBOOL (tptp.hAPP @t1449 @t3020)) (tptp.hBOOL (tptp.hAPP @t2484 @t1199)))))) % 6.62/6.87 (assume @p2135 (forall @t2240 (=> @t988 (= (tptp.hBOOL (tptp.hAPP @t1449 @t3021)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t1199) @t1229)))))) % 6.62/6.87 (assume @p2136 (forall @t198 (=> @t430 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t3018) @t3017)) @t429)))) % 6.62/6.87 (assume @p2137 (forall @t198 (=> @t430 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t3016) @t3015)) @t426)))) % 6.62/6.87 (assume @p2138 (= (tptp.hAPP @t2997 @t1975) @t1444)) % 6.62/6.87 (assume @p2139 (forall @t2385 (=> @t2801 @t3019))) % 6.62/6.87 (assume @p2140 (forall @t2374 (= (tptp.hAPP @t2551 (tptp.hAPP (tptp.hAPP @t2303 @t1426) @t2270)) @t3012))) % 6.62/6.87 (assume @p2141 (forall @t2248 (=> @t665 (= (tptp.hAPP @t826 @t3021) @t2239)))) % 6.62/6.87 (assume @p2142 (forall @t2248 (=> @t665 (= (tptp.hAPP @t826 @t2239) @t3021)))) % 6.62/6.87 (assume @p2143 (forall @t2248 (=> @t665 (= (tptp.hAPP @t826 @t2953) @t3020)))) % 6.62/6.87 (assume @p2144 (forall @t2248 (=> @t665 (= (tptp.hAPP @t826 @t3020) @t2953)))) % 6.62/6.87 (assume @p2145 (forall @t2374 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2668 @t1426) @t2708))) % 6.62/6.87 (assume @p2146 (forall @t2221 (= @t2998 @t2958))) % 6.62/6.87 (assume @p2147 (= (tptp.hAPP @t2231 @t2999) @t1444)) % 6.62/6.87 (assume @p2148 (forall @t1251 (= @t2965 (tptp.hAPP @t2809 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2310 @t2311))))) % 6.62/6.87 (assume @p2149 (forall @t2238 (=> @t444 (= (tptp.hAPP @t2237 (tptp.hAPP @t2999 @t1879)) (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP @t2237 @t3000)) @t2989))))) % 6.62/6.87 (assume @p2150 (= (tptp.hAPP @t2999 @t1975) @t2370)) % 6.62/6.87 (assume @p2151 (forall @t2507 (=> @t665 (=> @t2506 (= (tptp.hAPP @t2996 @t3003) @t3022))))) % 6.62/6.87 (assume @p2152 (forall (@list @t1229 @t1228) (and (=> @t3025 (= @t3024 @t2513)) (=> (not @t3025) (= @t3024 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t1229) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t3023 @t1228))))))) % 6.62/6.87 (assume @p2153 (forall @t2507 (=> @t430 (= (tptp.hAPP (tptp.hAPP @t1551 @t2473) @t3003) @t53)))) % 6.62/6.87 (assume @p2154 (forall (@list @t149 @t82 @t57 @t8) (=> @t665 (= (tptp.hAPP (tptp.hAPP @t1551 (tptp.hAPP @t3014 @t57)) @t2977) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t82 @t2501))))) % 6.62/6.87 (assume @p2155 (forall (@list @t149 @t57 @t13 @t8) (=> @t665 (= (tptp.hAPP @t2984 (tptp.hAPP @t3014 @t149)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t13 @t2501))))) % 6.62/6.87 (assume @p2156 (forall (@list @t149 @t82 @t13 @t8) (=> @t665 (= (tptp.hAPP (tptp.hAPP @t1551 (tptp.hAPP @t3002 @t13)) @t2977) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t2502 @t149))))) % 6.62/6.87 (assume @p2157 (forall @t596 (=> @t665 (= (tptp.hAPP @t2984 (tptp.hAPP @t3002 @t82)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t8 @t2502 @t57))))) % 6.62/6.87 (assume @p2158 (= (tptp.hAPP @t2231 @t2997) @t1444)) % 6.62/6.87 (assume @p2159 (forall @t2507 (=> @t665 (=> @t2506 (= (tptp.hAPP @t3028 @t2698) @t3026))))) % 6.62/6.87 (assume @p2160 (forall (@list @t1199 @t662 @t1196 @t8) (= (tptp.hAPP @t3001 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t52 tptp.tc_Nat_Onat) @t662) @t1244)) (tptp.hAPP (tptp.hAPP @t2497 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1199 @t1290)) @t662)))) % 6.62/6.87 (assume @p2161 (forall @t2507 (=> @t430 (= (tptp.hAPP @t3029 @t2698) @t53)))) % 6.62/6.87 (assume @p2162 (forall @t2507 (=> @t430 (= (tptp.hAPP @t3029 @t2579) @t53)))) % 6.62/6.87 (assume @p2163 (forall @t2507 (=> @t430 (= (tptp.hAPP (tptp.hAPP @t1551 @t2579) @t3003) @t53)))) % 6.62/6.87 (assume @p2164 (forall @t2374 (= (tptp.hAPP @t2516 @t3012) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t2303 @t2556) @t2270))))) % 6.62/6.87 (assume @p2165 (forall @t1251 (=> (tptp.c_Nat__Transfer_Ois__nat @t307) (=> (tptp.c_Nat__Transfer_Ois__nat @t1196) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t307 @t1196) (tptp.hAPP @t2386 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t307) (tptp.hAPP tptp.c_Int_Onat @t1196)))))))) % 6.62/6.87 (assume @p2166 (forall (@list @t1426 @t8) (=> @t665 (= (tptp.hAPP (tptp.hAPP @t1037 @t2503) @t2699) @t3026)))) % 6.62/6.87 (assume @p2167 (forall @t2507 (=> @t665 (=> @t2506 (= (tptp.hAPP @t2505 @t2982) @t3026))))) % 6.62/6.87 (assume @p2168 (forall (@list @t1455 @t8) (=> @t665 (= (tptp.hAPP @t2580 @t2955) @t3022)))) % 6.62/6.87 (assume @p2169 (forall @t2507 (=> @t665 (=> @t2506 (= (tptp.hAPP (tptp.hAPP @t1037 @t2982) @t2956) @t3022))))) % 6.62/6.87 (assume @p2170 (forall @t2507 (=> @t665 (=> @t2582 (= (tptp.hAPP @t3028 @t2579) @t2503))))) % 6.62/6.87 (assume @p2171 (forall @t3043 (=> @t3042 (=> @t3041 (forall @t7 (=> @t3039 (=> @t3032 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t3031) @t29))))))))) % 6.62/6.87 (assume @p2172 (forall @t3050 (=> @t3042 (=> @t3049 (forall @t7 (=> @t3047 (=> @t3046 (tptp.hBOOL (tptp.hAPP @t3045 @t3044))))))))) % 6.62/6.87 (assume @p2173 (forall @t3043 (=> @t3042 (=> @t3053 (forall @t7 (=> @t3039 (=> @t3051 (not (= @t3031 @t29))))))))) % 6.62/6.87 (assume @p2174 (forall @t3050 (=> @t3042 (=> @t3054 (forall @t7 (=> @t3047 (=> @t3051 (not (= @t3044 @t29))))))))) % 6.62/6.87 (assume @p2175 (forall @t3050 (=> @t3042 (=> @t3054 (forall @t7 (=> @t3047 (=> @t3056 (tptp.hBOOL (tptp.hAPP @t3055 @t3044))))))))) % 6.62/6.87 (assume @p2176 (forall @t3050 (=> @t3042 (=> @t3049 (=> (forall @t7 (=> @t3057 (forall @t458 (=> (tptp.hBOOL (tptp.hAPP @t3037 @t74)) (not (= @t29 (tptp.hAPP (tptp.hAPP @t2303 @t453) @t3))))))) (= (tptp.hAPP @t3048 @t502) @t29)))))) % 6.62/6.87 (assume @p2177 (forall @t3043 (=> @t3042 (=> @t3041 (=> (forall @t7 (=> @t3057 (forall @t458 (=> (tptp.hBOOL (tptp.hAPP @t3037 @t45)) (not (= @t29 (tptp.hAPP (tptp.hAPP @t2297 @t453) @t3))))))) (= (tptp.hAPP @t3040 @t502) @t29)))))) % 6.62/6.87 (assume @p2178 (forall @t3043 (=> @t3042 (=> @t3053 (forall @t7 (=> @t3039 (=> @t3058 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3031) @t29))))))))) % 6.62/6.87 (assume @p2179 (forall @t3059 (=> @t3042 (forall @t7 (=> @t3047 (=> @t3032 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t3044) @t29)))))))) % 6.62/6.87 (assume @p2180 (forall @t3060 (=> @t3042 (forall @t7 (=> @t3039 (=> @t3046 (tptp.hBOOL (tptp.hAPP @t3045 @t3031)))))))) % 6.62/6.87 (assume @p2181 (forall (@list @t180 @t149) (=> @t3009 (=> (forall @t3061 (= @t1080 (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t3005 (tptp.hAPP (tptp.hAPP @t2246 @t1245) @t149)))))) (= @t2805 (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t2923 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2270 @t149))) @t1080))))))) % 6.62/6.87 (assume @p2182 (forall @t3059 (=> @t3042 (forall @t7 (=> @t3047 (=> @t3058 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3044) @t29)))))))) % 6.62/6.87 (assume @p2183 (forall @t3060 (=> @t3042 (forall @t7 (=> @t3039 (=> @t3056 (tptp.hBOOL (tptp.hAPP @t3055 @t3031)))))))) % 6.62/6.87 (assume @p2184 (forall @t3010 (=> @t3009 (=> (forall @t7 (=> @t1080 (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t3030 @t149))))) (=> @t3007 (forall @t7 (=> @t1080 (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t3030 @t3004)))))))))) % 6.62/6.87 (assume @p2185 (forall (@list @t1196 @t180) (=> @t2178 (=> @t3063 (exists @t1248 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1245) @t1196)) (forall @t1033 (=> (tptp.hBOOL (tptp.hAPP @t3062 @t1245)) (not @t2670))) (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP (tptp.hAPP @t1223 @t1245) @t1193))))))))) % 6.62/6.87 (assume @p2186 (forall @t2377 (=> @t2276 (exists @t2318 (and @t3064 (= @t1216 @t2378)))))) % 6.62/6.87 (assume @p2187 (forall @t1548 (=> @t575 (=> @t1547 (=> @t1546 (=> @t3065 (= @t2257 @t2258))))))) % 6.62/6.87 (assume @p2188 (forall @t1548 (=> @t575 (=> @t1547 (=> @t1546 (=> @t3065 (= @t2258 @t2257))))))) % 6.62/6.87 (assume @p2189 (forall @t118 (=> @t50 (= (tptp.hAPP @t3069 @t3068) (tptp.hAPP @t3066 @t1014))))) % 6.62/6.87 (assume @p2190 (forall @t1251 (= (tptp.hAPP (tptp.hAPP @t1397 @t307) @t1879) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1975 (tptp.hAPP @t3070 (tptp.hAPP (tptp.hAPP @t1242 @t1397) @t1196)) @t307)))) % 6.62/6.87 (assume @p2191 (forall @t1878 (= (tptp.hAPP @t3072 @t307) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1975 (tptp.hAPP @t3070 @t3071) @t307)))) % 6.62/6.87 (assume @p2192 (forall @t258 (=> @t352 @t3075))) % 6.62/6.87 (assume @p2193 (forall @t118 (= (tptp.hBOOL (tptp.hAPP @t3076 @t3068)) @t50))) % 6.62/6.87 (assume @p2194 (forall @t1132 (=> (= @t56 @t74) (= @t3077 @t3073)))) % 6.62/6.87 (assume @p2195 (forall @t118 (tptp.hBOOL (tptp.hAPP @t3074 @t3068)))) % 6.62/6.87 (assume @p2196 (forall @t118 (not (exists @t549 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t52 @t546) @t45) @t3068))))) % 6.62/6.87 (assume @p2197 (forall @t118 (not (= @t3068 @t1905)))) % 6.62/6.87 (assume @p2198 (forall @t1740 (= (tptp.hAPP @t3067 @t1844) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t39 @t1898) @t45) @t3078)))) % 6.62/6.87 (assume @p2199 (forall @t1073 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t53) @t3073)))) % 6.62/6.87 (assume @p2200 (forall @t258 (=> @t3075 @t352))) % 6.62/6.87 (assume @p2201 (forall @t258 (= @t3075 @t352))) % 6.62/6.87 (assume @p2202 (forall @t3080 (= (tptp.c_Nat_Onat_Onat__case @t8 @t169 @t3079 @t1975) @t169))) % 6.62/6.87 (assume @p2203 (forall @t3082 (= (tptp.c_Nat_Onat_Onat__case @t8 @t169 @t3079 @t1868) @t3081))) % 6.62/6.87 (assume @p2204 (forall @t258 (=> @t352 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1902 @t3068) @t3073))))) % 6.62/6.87 (assume @p2205 (forall @t133 (= (tptp.hAPP @t3067 @t48) (tptp.hAPP @t3083 (tptp.hAPP (tptp.c_Set_Oimage @t52 @t52 @t47) @t3068))))) % 6.62/6.87 (assume @p2206 (forall @t54 (= (tptp.hAPP @t3067 @t1021) @t1899))) % 6.62/6.87 (assume @p2207 (forall @t1740 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1902 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t39 @t1898) @t45) @t3078)) (tptp.hAPP @t3067 @t1704))))) % 6.62/6.87 (assume @p2208 (forall @t258 (= (tptp.hAPP @t3067 @t1553) (tptp.hAPP (tptp.hAPP @t1951 @t3068) @t3073)))) % 6.62/6.87 (assume @p2209 (forall @t494 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t56) @t74)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1902 @t3077) @t3073))))) % 6.62/6.87 (assume @p2210 (forall @t54 (= (tptp.hAPP @t3067 @t53) (tptp.hAPP (tptp.hAPP @t1906 @t53) @t1905)))) % 6.62/6.87 (assume @p2211 (forall @t1251 (= (tptp.hAPP (tptp.hAPP @t1393 @t307) @t1879) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1879 (tptp.hAPP @t3070 (tptp.hAPP (tptp.hAPP @t1242 @t1393) @t1196)) @t307)))) % 6.62/6.87 (assume @p2212 (forall @t1878 (= (tptp.hAPP @t3085 @t307) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1879 (tptp.hAPP @t3070 @t3084) @t307)))) % 6.62/6.87 (assume @p2213 (forall @t258 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1902 (tptp.hAPP @t3083 @t3073)) (tptp.hAPP @t3067 @t1039))))) % 6.62/6.87 (assume @p2214 (forall @t520 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t8 @t340) @t60)) (tptp.hBOOL (tptp.hAPP @t3086 @t3068))))) % 6.62/6.87 (assume @p2215 (forall @t1251 (= (tptp.hAPP @t1202 @t1879) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1975 @t3087 @t2151)))) % 6.62/6.87 (assume @p2216 (forall @t386 (=> @t2868 (=> (forall @t3089 (=> (tptp.hBOOL (tptp.hAPP @t2089 @t3088)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t3088) @t1322)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 (tptp.hAPP (tptp.hAPP @t670 @t3088) @t371)) @t381))))) @t384)))) % 6.62/6.87 (assume @p2217 (forall @t3091 (=> @t2817 (=> @t106 (=> @t2918 (=> @t3090 (= @t2922 (tptp.hAPP (tptp.hAPP @t2815 @t1) @t74)))))))) % 6.62/6.87 (assume @p2218 (forall @t3095 (=> @t2639 (= @t3094 (forall @t2740 (=> @t2676 @t3092)))))) % 6.62/6.87 (assume @p2219 (forall @t3095 (=> @t2675 (= @t3094 (forall @t2740 (=> @t2673 @t3092)))))) % 6.62/6.87 (assume @p2220 (forall @t3097 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2243 @t3096) @t381) @t793) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2245 @t793)))) % 6.62/6.87 (assume @p2221 (forall @t3097 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2297 @t3096) @t381) @t793) @t3098))) % 6.62/6.87 (assume @p2222 (forall (@list @t793 @t381 @t371) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2575 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t381 @t793)) @t793) @t3098))) % 6.62/6.87 (assume @p2223 (forall @t3105 (=> @t3104 (=> @t3103 (=> @t3101 (= @t3099 (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP (tptp.hAPP @t618 @t2653) @t2530) @t404))))))) % 6.62/6.87 (assume @p2224 (forall @t416 (=> @t3104 (= @t3099 (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP @t3106 @t3100) @t404))))) % 6.62/6.87 (assume @p2225 (forall @t416 (=> @t3104 (= @t3099 (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP @t3106 @t407) @t404))))) % 6.62/6.87 (assume @p2226 (forall @t416 (=> @t3104 (= @t3099 (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP @t622 @t3100) @t404))))) % 6.62/6.87 (assume @p2227 (forall @t1195 (= @t3111 @t3108))) % 6.62/6.87 (assume @p2228 (forall @t1195 (= @t3108 @t3111))) % 6.62/6.87 (assume @p2229 (forall @t2622 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t403 @t403) @t2273))) % 6.62/6.87 (assume @p2230 (forall @t2594 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2273 @t407) @t2273))) % 6.62/6.87 (assume @p2231 (forall @t3105 (=> @t2605 (=> @t3103 (=> @t3101 (= @t3112 (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP (tptp.hAPP @t577 @t2653) @t2530) @t404))))))) % 6.62/6.87 (assume @p2232 (forall @t607 (=> @t2605 (= @t3114 @t3112)))) % 6.62/6.87 (assume @p2233 (forall @t416 (=> @t2605 (= @t3115 @t3112)))) % 6.62/6.87 (assume @p2234 (forall @t416 (=> @t2605 (= @t3112 (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP @t3113 @t3100) @t404))))) % 6.62/6.87 (assume @p2235 (forall @t416 (=> @t2605 (= @t3112 @t3114)))) % 6.62/6.87 (assume @p2236 (forall @t416 (=> @t2605 (= @t3112 @t3115)))) % 6.62/6.87 (assume @p2237 (forall @t700 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t581 @t407) @t3116)))) % 6.62/6.87 (assume @p2238 (forall @t621 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t585 @t407) @t3116)))) % 6.62/6.87 (assume @p2239 (forall @t621 (=> @t3104 (= @t3117 (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP @t834 @t3116) @t407))))) % 6.62/6.87 (assume @p2240 (forall (@list @t2653 @t407 @t403 @t372) (=> @t3104 (=> (= @t3116 (tptp.c_Divides_Odiv__class_Omod @t372 @t2653 @t407)) (= @t3117 (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP @t834 @t2653) @t407)))))) % 6.62/6.87 (assume @p2241 (forall @t679 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t403 @t403) @t1991)))) % 6.62/6.87 (assume @p2242 (forall @t679 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t403 @t1991) @t403)))) % 6.62/6.87 (assume @p2243 (forall @t679 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t1991 @t403) @t1991)))) % 6.62/6.87 (assume @p2244 (forall @t621 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t3116 @t407) @t3116)))) % 6.62/6.87 (assume @p2245 (forall @t3105 (=> @t2605 (=> @t3103 (=> @t3101 (= @t3118 (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP (tptp.hAPP @t670 @t2653) @t2530) @t404))))))) % 6.62/6.87 (assume @p2246 (forall @t607 (=> @t2605 (= @t3120 @t3118)))) % 6.62/6.87 (assume @p2247 (forall @t607 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t761 @t672) (tptp.hAPP (tptp.hAPP @t670 @t3116) @t404))))) % 6.62/6.87 (assume @p2248 (forall @t604 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t2080 @t2079) (tptp.hAPP @t2078 @t3116))))) % 6.62/6.87 (assume @p2249 (forall @t416 (=> @t2605 (= @t3118 (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP @t3119 @t3100) @t404))))) % 6.62/6.87 (assume @p2250 (forall @t416 (=> @t2605 (= @t3118 @t3120)))) % 6.62/6.87 (assume @p2251 (forall @t416 (=> @t2605 (= @t3118 (tptp.c_Divides_Odiv__class_Omod @t372 (tptp.hAPP @t673 @t3100) @t404))))) % 6.62/6.87 (assume @p2252 (forall (@list @t793 @t371) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2266 @t3096) @t793) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2266 @t371) @t793)))) % 6.62/6.87 (assume @p2253 (forall @t2600 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2598 @t2597) (tptp.hAPP @t2266 @t3121)))) % 6.62/6.87 (assume @p2254 (forall @t2600 (= @t3123 (tptp.hAPP @t2266 @t3122)))) % 6.62/6.87 (assume @p2255 (forall @t1375 (=> @t2945 (=> @t2944 (tptp.c_Nat__Transfer_Ois__nat @t3124))))) % 6.62/6.87 (assume @p2256 (forall @t700 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t785 @t407) @t1991)))) % 6.62/6.87 (assume @p2257 (forall @t621 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t674 @t407) @t1991)))) % 6.62/6.87 (assume @p2258 (forall @t416 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t2663 @t407) @t3116)))) % 6.62/6.87 (assume @p2259 (forall @t607 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t2664 @t407) @t3116)))) % 6.62/6.87 (assume @p2260 (forall @t679 (=> @t2605 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t403 @t1322) @t1991)))) % 6.62/6.87 (assume @p2261 (forall @t621 (=> @t2605 (= (tptp.hAPP (tptp.hAPP @t2603 @t3116) @t407) @t1991)))) % 6.62/6.87 (assume @p2262 (forall @t2585 (=> (tptp.hBOOL (tptp.hAPP @t2323 @t793)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t793 @t1216)) @t793))))) % 6.62/6.87 (assume @p2263 (forall @t1375 (=> @t2428 (=> @t2427 (tptp.hBOOL (tptp.hAPP @t2323 @t3124)))))) % 6.62/6.87 (assume @p2264 (forall @t3126 (=> @t2608 @t3125))) % 6.62/6.87 (assume @p2265 (forall @t3126 (=> @t2647 @t3127))) % 6.62/6.87 (assume @p2266 (forall @t3128 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t307 @t149) @t2273) (exists @t2745 (= @t307 (tptp.hAPP (tptp.hAPP @t2246 @t149) @t2744)))))) % 6.62/6.87 (assume @p2267 (forall @t3131 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2933 @t1208) @t2273)) @t3130))) % 6.62/6.87 (assume @p2268 (forall @t3131 (=> (not (= @t3132 @t2273)) @t3130))) % 6.62/6.87 (assume @p2269 (forall @t2600 (= (tptp.hAPP (tptp.hAPP @t2584 @t3121) @t407) @t2273))) % 6.62/6.87 (assume @p2270 (forall @t2622 (and (= (tptp.hAPP @t2595 @t2273) @t2273) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t403 @t2273) @t403)))) % 6.62/6.87 (assume @p2271 (forall @t1195 (= (tptp.hAPP (tptp.hAPP @t2584 @t3136) @t404) (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2595 @t404)) @t3134)) (tptp.hAPP (tptp.hAPP @t2584 (tptp.hAPP (tptp.hAPP @t2303 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t403 @t404)) @t3109)) @t404))))) % 6.62/6.87 (assume @p2272 (forall @t621 (=> @t2605 (= (tptp.hAPP (tptp.hAPP @t577 @t3116) @t3137) @t403)))) % 6.62/6.87 (assume @p2273 (forall @t700 (=> @t2605 (= @t3138 @t403)))) % 6.62/6.87 (assume @p2274 (forall @t621 (=> @t2605 (= @t3139 @t403)))) % 6.62/6.87 (assume @p2275 (forall @t411 (=> @t2605 (= (tptp.hAPP (tptp.hAPP @t577 @t3138) @t404) @t584)))) % 6.62/6.87 (assume @p2276 (forall @t416 (=> @t2605 (= (tptp.hAPP (tptp.hAPP @t577 @t3139) @t404) @t584)))) % 6.62/6.87 (assume @p2277 (forall @t2600 (=> @t2651 (=> @t2652 @t3140)))) % 6.62/6.87 (assume @p2278 (forall @t3126 (=> @t2647 (and @t3141 @t3127)))) % 6.62/6.87 (assume @p2279 (forall @t3126 (=> @t2647 @t3141))) % 6.62/6.87 (assume @p2280 (forall @t2600 (=> @t2644 (=> @t2649 @t3140)))) % 6.62/6.87 (assume @p2281 (forall @t3126 (=> @t2608 (and @t3142 @t3125)))) % 6.62/6.87 (assume @p2282 (forall @t3126 (=> @t2608 @t3142))) % 6.62/6.87 (assume @p2283 (forall @t2600 (and (=> @t3143 (= @t3123 @t2273)) (=> @t3144 (= @t3123 (tptp.hAPP (tptp.hAPP @t2297 @t3121) @t407)))))) % 6.62/6.87 (assume @p2284 (forall @t2600 (and (=> @t3143 (= @t3122 @t2273)) (=> @t3144 (= @t3122 (tptp.hAPP @t3145 @t3121)))))) % 6.62/6.87 (assume @p2285 (forall @t2600 (= @t403 @t3146))) % 6.62/6.87 (assume @p2286 (forall @t1195 (= (tptp.hAPP (tptp.hAPP @t2584 @t3107) @t404) (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2523 @t3134)) (tptp.hAPP (tptp.hAPP @t2584 @t3110) @t404))))) % 6.62/6.87 (assume @p2287 (forall (@list @t1216 @t403 @t407) (= (tptp.hAPP (tptp.hAPP @t2303 @t3146) @t1216) @t3147))) % 6.62/6.87 (assume @p2288 (forall (@list @t1216 @t407 @t403) (= (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP (tptp.hAPP @t2246 @t2596) @t407)) @t3121)) @t1216) @t3147))) % 6.62/6.87 (assume @p2289 (forall @t1240 (= (tptp.hAPP (tptp.hAPP @t2246 @t1211) @t3150) (tptp.hAPP @t3149 @t3148)))) % 6.62/6.87 (assume @p2290 (forall @t1227 (= @t3148 (tptp.hAPP @t3149 (tptp.hAPP (tptp.hAPP @t2246 @t3150) @t1211))))) % 6.62/6.87 (assume @p2291 (forall @t2600 (=> @t2526 (=> @t3151 (= @t3121 @t3136))))) % 6.62/6.87 (assume @p2292 (forall (@list @t381 @t3152 @t2679 @t2680) (=> (= @t2680 (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2686 @t3152)) @t381)) (=> (and (=> @t2684 (and @t2427 (tptp.hBOOL (tptp.hAPP @t2401 @t2679)))) (=> @t2685 (and (tptp.hBOOL (tptp.hAPP @t2683 @t381)) (tptp.hBOOL (tptp.hAPP @t2573 @t2273))))) (=> @t2681 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2680 @t2679) @t381)))))) % 6.62/6.87 (assume @p2293 (forall @t3154 (=> @t2660 (=> @t2559 (=> @t2560 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t3153) @t2273))))))) % 6.62/6.87 (assume @p2294 (forall @t3154 (=> @t2660 (=> @t2559 (=> @t2560 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2659) @t3153))))))) % 6.62/6.87 (assume @p2295 (forall @t3155 (=> @t2660 (=> @t2522 (=> @t2542 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3153) @t2659))))))) % 6.62/6.87 (assume @p2296 (forall @t3155 (=> @t2660 (=> @t2522 (=> @t2542 (tptp.hBOOL (tptp.hAPP @t2323 @t3153))))))) % 6.62/6.87 (assume @p2297 (forall @t2678 (= (tptp.hBOOL (tptp.hAPP @t180 @t3093)) (and (=> @t2634 @t3063) (=> @t2639 (forall @t2740 (=> @t2676 @t3156))) (=> @t2675 (forall @t2740 (=> @t2673 @t3156))))))) % 6.62/6.87 (assume @p2298 (forall @t2661 (=> @t2660 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t403 @t2659) (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2543 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2596 @t404))) @t3121))))) % 6.62/6.87 (assume @p2299 (forall @t3126 (=> @t3159 (and (=> @t3143 (= @t2602 @t3157)) (=> @t3144 (= @t2602 @t3158)))))) % 6.62/6.87 (assume @p2300 (forall @t3126 (=> @t3159 (and (=> @t3143 (= @t2601 @t3157)) (=> @t3144 (= @t2601 @t3158)))))) % 6.62/6.87 (assume @p2301 (forall @t1251 (= @t1938 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t1249 @t1196))))) % 6.62/6.87 (assume @p2302 (forall @t2697 (and (=> @t2694 (= @t3160 @t3129)) (=> @t2695 (= @t3160 @t3132))))) % 6.62/6.87 (assume @p2303 (forall @t679 (=> @t764 (=> @t2097 (= @t3161 @t1344))))) % 6.62/6.87 (assume @p2304 (forall @t14 (=> @t2122 (= (= @t3162 @t1345) @t2087)))) % 6.62/6.87 (assume @p2305 (forall @t376 (=> @t3165 (and (=> @t3164 (= @t3163 @t1991)) (=> (not @t3164) (and (=> @t2872 (= @t3163 @t1322)) (=> (not @t2872) (= @t3163 @t1344)))))))) % 6.62/6.87 (assume @p2306 (forall @t1227 @t3167)) % 6.62/6.87 (assume @p2307 (forall @t1227 (= @t3169 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3168 @t1211)))) % 6.62/6.87 (assume @p2308 (forall @t1294 (= (tptp.hAPP (tptp.hAPP @t1302 @t3166) @t1216) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1312 @t1310)))) % 6.62/6.87 (assume @p2309 (forall @t1309 (= (tptp.hAPP @t1306 @t3166) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1308 @t1307)))) % 6.62/6.87 (assume @p2310 (forall @t1227 (tptp.hBOOL (tptp.hAPP @t3170 @t793)))) % 6.62/6.87 (assume @p2311 (forall @t679 (=> @t764 (= (tptp.c_Groups_Osgn__class_Osgn @t372 @t3161) @t3161)))) % 6.62/6.87 (assume @p2312 (forall @t14 (=> @t2122 (= (= @t3162 @t1985) @t1989)))) % 6.62/6.87 (assume @p2313 (forall @t1171 (=> @t3165 (= (tptp.c_Groups_Osgn__class_Osgn @t372 @t1991) @t1991)))) % 6.62/6.87 (assume @p2314 (forall @t621 (=> @t764 (= (tptp.c_Groups_Osgn__class_Osgn @t372 @t674) (tptp.hAPP (tptp.hAPP @t670 @t3161) (tptp.c_Groups_Osgn__class_Osgn @t372 @t407)))))) % 6.62/6.87 (assume @p2315 (forall @t1227 (and (=> @t3171 (= @t3169 @t1975)) (=> (not @t3171) (= @t3169 @t3168))))) % 6.62/6.87 (assume @p2316 (forall @t1321 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t793 @t1976) @t1975))) % 6.62/6.87 (assume @p2317 (forall @t1240 (=> @t2027 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t3166) @t1211))))) % 6.62/6.87 (assume @p2318 (forall @t3128 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t307 @t149) @t1975) (exists @t2745 (= @t307 (tptp.hAPP (tptp.hAPP @t1302 @t149) @t2744)))))) % 6.62/6.87 (assume @p2319 (forall @t1227 (and @t3167 @t3174))) % 6.62/6.87 (assume @p2320 (forall @t1227 @t3174)) % 6.62/6.87 (assume @p2321 (forall @t1417 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3175 @t1211) @t3166))) % 6.62/6.87 (assume @p2322 (forall @t1240 (=> @t1252 @t3173))) % 6.62/6.87 (assume @p2323 (forall @t1375 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2364 @t2367) (tptp.hAPP @t2264 @t3176)))) % 6.62/6.87 (assume @p2324 (forall @t2600 (= (tptp.hAPP @t2264 @t3177) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2722 @t2721)))) % 6.62/6.87 (assume @p2325 (forall @t1195 (= (tptp.hAPP (tptp.hAPP @t2709 @t3180) @t404) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t2710 @t404)) @t3179)) (tptp.hAPP (tptp.hAPP @t2709 (tptp.hAPP (tptp.hAPP @t1223 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t403 @t404)) @t3178)) @t404))))) % 6.62/6.87 (assume @p2326 (forall @t1240 (=> @t2027 (tptp.hBOOL (tptp.hAPP @t3170 @t1211))))) % 6.62/6.87 (assume @p2327 (forall @t1417 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t3175) @t1211) @t3169))) % 6.62/6.87 (assume @p2328 (forall @t14 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP @t2055 @t3162)) @t2086)))) % 6.62/6.87 (assume @p2329 (forall @t14 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t3162) @t1985)) @t2087)))) % 6.62/6.87 (assume @p2330 (forall @t1195 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t403 @t2713) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t2712 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2711 @t404))) @t3177)))) % 6.62/6.87 (assume @p2331 (forall @t1195 (= (tptp.hAPP (tptp.hAPP @t2709 @t3182) @t404) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t3181 @t3179)) (tptp.hAPP (tptp.hAPP @t2709 (tptp.hAPP @t3181 @t3178)) @t404))))) % 6.62/6.87 (assume @p2332 (forall @t1227 (= @t3184 @t3183))) % 6.62/6.87 (assume @p2333 (forall @t1240 (= (tptp.hAPP @t1305 @t2715) @t3183))) % 6.62/6.87 (assume @p2334 (forall @t1227 (= @t3166 (tptp.hAPP @t1221 @t3184)))) % 6.62/6.87 (assume @p2335 (forall @t2678 (= (tptp.hBOOL (tptp.hAPP @t180 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1196 @t1199))) (and (=> @t2030 @t3063) (=> @t2741 (forall @t2740 (=> @t2739 (=> @t2738 @t3156)))))))) % 6.62/6.87 (assume @p2336 (forall @t3155 (=> @t3186 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t2120) @t407)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t3185) @t2713)))))) % 6.62/6.87 (assume @p2337 (forall (@list @t793 @t1216) (=> (tptp.hBOOL (tptp.hAPP @t2733 @t1216)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1308) @t1216) @t1193)))) % 6.62/6.87 (assume @p2338 (forall @t1375 (=> @t2428 (=> @t2427 (= @t3188 @t3187))))) % 6.62/6.87 (assume @p2339 (forall @t1375 (=> @t2428 (=> @t2427 (= @t3187 @t3188))))) % 6.62/6.87 (assume @p2340 (forall @t679 (=> @t764 (=> @t2093 (= @t3161 @t1322))))) % 6.62/6.87 (assume @p2341 (forall @t14 (=> @t2122 (= (= @t3162 @t1299) @t2086)))) % 6.62/6.87 (assume @p2342 (forall @t3193 (and (=> @t3192 (= @t3190 @t2273)) (=> (not @t3192) (and (=> @t3191 (= @t3190 @t2270)) (=> (not @t3191) (= @t3190 @t3189))))))) % 6.62/6.87 (assume @p2343 (forall (@list @t392 @t371 @t608) (=> @t3196 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 (tptp.hAPP @t2575 @t3195)) @t392))))) % 6.62/6.87 (assume @p2344 (forall (@list @t371 @t392 @t608) (=> @t3196 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t392) (tptp.hAPP @t2407 @t3195)))))) % 6.62/6.87 (assume @p2345 (forall @t3091 (=> @t2817 (=> @t106 (=> @t2918 (=> @t3090 (= @t2927 (tptp.hAPP (tptp.hAPP @t2837 @t1) @t74)))))))) % 6.62/6.87 (assume @p2346 (forall @t118 (=> @t1785 (=> @t50 (= @t3197 (tptp.hAPP (tptp.hAPP @t1167 @t166) @t45)))))) % 6.62/6.87 (assume @p2347 (forall (@list @t45 @t447 @t215 @t8) (=> @t1830 (=> @t1827 @t3199)))) % 6.62/6.87 (assume @p2348 (forall @t159 (=> @t3203 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 (tptp.hAPP @t3200 @t472)) @t3202))))) % 6.62/6.87 (assume @p2349 (forall @t159 (=> @t3203 (tptp.hBOOL (tptp.hAPP @t2064 @t3202))))) % 6.62/6.87 (assume @p2350 (forall @t118 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t3068) @t45))) % 6.62/6.87 (assume @p2351 (forall @t621 (=> @t3207 (= @t3206 @t3205)))) % 6.62/6.87 (assume @p2352 (forall @t621 (=> @t3207 (=> @t3209 @t414)))) % 6.62/6.87 (assume @p2353 (forall @t679 (=> @t3207 (tptp.hBOOL (tptp.hAPP @t412 @t3208))))) % 6.62/6.87 (assume @p2354 (forall @t1171 (=> @t764 (= (tptp.hAPP @t3204 @t1322) @t1322)))) % 6.62/6.87 (assume @p2355 (forall @t679 (=> @t3207 (= (tptp.hAPP @t3204 @t844) @t3208)))) % 6.62/6.87 (assume @p2356 (forall @t1524 (=> @t764 (= (tptp.hAPP @t3204 @t2343) @t2343)))) % 6.62/6.87 (assume @p2357 (forall @t1506 (=> @t764 (= @t3212 @t3211)))) % 6.62/6.87 (assume @p2358 (forall @t679 (=> @t3207 (= (tptp.hAPP @t3204 @t3208) @t3208)))) % 6.62/6.87 (assume @p2359 (forall @t621 (=> @t764 @t3216))) % 6.62/6.87 (assume @p2360 (forall @t679 (=> @t764 (= (tptp.hAPP @t3214 @t3208) @t678)))) % 6.62/6.87 (assume @p2361 (forall @t621 (=> @t3207 (= (tptp.hAPP @t3204 @t3217) @t3217)))) % 6.62/6.87 (assume @p2362 (forall @t14 (=> @t3203 (= (= @t3218 @t1985) @t1989)))) % 6.62/6.87 (assume @p2363 (forall @t1171 (=> @t3207 (= (tptp.hAPP @t3204 @t1991) @t1991)))) % 6.62/6.87 (assume @p2364 (forall @t1321 (= (tptp.hAPP @t3194 @t2265) @t2265))) % 6.62/6.87 (assume @p2365 (forall @t621 (=> @t2868 @t3219))) % 6.62/6.87 (assume @p2366 (forall @t159 (=> @t3203 (= (tptp.hAPP @t3200 @t3202) @t3202)))) % 6.62/6.87 (assume @p2367 (forall @t159 (=> @t2860 (= (tptp.hAPP @t3200 @t946) (tptp.hAPP (tptp.hAPP @t943 @t3201) @t45))))) % 6.62/6.87 (assume @p2368 (forall (@list @t199 @t2 @t8 @t39) (= (tptp.hAPP @t55 (tptp.c_Complete__Lattice_OSup__class_OSup @t80 @t199)) (tptp.hAPP (tptp.hAPP @t3220 @t199) @t55)))) % 6.62/6.87 (assume @p2369 (forall @t261 (= (tptp.hAPP (tptp.hAPP @t1551 @t3223) @t45) (tptp.hAPP @t3222 (tptp.hAPP (tptp.hAPP @t293 @t1551) @t45))))) % 6.62/6.87 (assume @p2370 (forall @t258 (= (tptp.hAPP @t1552 @t3223) (tptp.hAPP @t3222 @t1552)))) % 6.62/6.87 (assume @p2371 (forall @t1735 (= @t3228 @t3225))) % 6.62/6.87 (assume @p2372 (forall @t1735 (= @t3225 @t3228))) % 6.62/6.87 (assume @p2373 (forall @t555 (=> @t1785 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t3197) @t57)) @t1009)))) % 6.62/6.87 (assume @p2374 (forall (@list @t199 @t13 @t8) (=> @t1805 (= (tptp.hBOOL (tptp.hAPP @t713 (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t199))) (exists @t7 (and @t1926 (tptp.hBOOL (tptp.hAPP @t713 @t3)))))))) % 6.62/6.87 (assume @p2375 (forall @t159 (= (tptp.hAPP @t1530 @t3224) (tptp.hAPP @t3227 @t1530)))) % 6.62/6.87 (assume @p2376 (forall @t679 (=> @t3207 (tptp.hBOOL (tptp.hAPP @t2044 @t3208))))) % 6.62/6.87 (assume @p2377 (forall @t14 (=> @t3203 (= (tptp.hBOOL (tptp.hAPP @t3229 @t1985)) @t1989)))) % 6.62/6.87 (assume @p2378 (forall @t679 (=> @t3207 (=> @t2046 @t3230)))) % 6.62/6.87 (assume @p2379 (forall @t679 (=> @t3207 (=> @t2093 @t3230)))) % 6.62/6.87 (assume @p2380 (forall @t14 (=> @t3203 (= (tptp.hBOOL (tptp.hAPP @t2055 @t3218)) @t3231)))) % 6.62/6.87 (assume @p2381 (forall @t679 (=> @t3207 (not (tptp.hBOOL (tptp.hAPP @t3232 @t1991)))))) % 6.62/6.87 (assume @p2382 (forall @t621 (=> @t3207 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 (tptp.hAPP @t3204 @t585)) @t3217))))) % 6.62/6.87 (assume @p2383 (forall @t880 (=> @t764 (=> (tptp.hBOOL (tptp.hAPP @t3232 @t404)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t3213) @t608)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t3215) (tptp.hAPP @t2078 @t608)))))))) % 6.62/6.87 (assume @p2384 (forall @t621 (=> @t3207 (tptp.hBOOL (tptp.hAPP @t3234 @t3205))))) % 6.62/6.87 (assume @p2385 (forall @t621 (=> @t3207 (tptp.hBOOL (tptp.hAPP @t3234 @t3206))))) % 6.62/6.87 (assume @p2386 (forall @t621 (=> @t3207 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 (tptp.hAPP @t3204 @t3233)) @t3206))))) % 6.62/6.87 (assume @p2387 (forall @t621 (=> @t3207 (=> @t3209 @t3236)))) % 6.62/6.87 (assume @p2388 (forall @t621 (=> @t3207 (=> @t414 (=> @t3236 @t3209))))) % 6.62/6.87 (assume @p2389 (forall @t147 (=> @t3203 (= (tptp.hBOOL (tptp.hAPP @t3229 @t57)) (and @t565 @t897))))) % 6.62/6.87 (assume @p2390 (forall @t679 (=> @t3207 (tptp.hBOOL (tptp.hAPP @t3235 @t3208))))) % 6.62/6.87 (assume @p2391 (forall @t147 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t3218) @t57)) (and @t714 @t918))))) % 6.62/6.87 (assume @p2392 (forall @t700 (=> @t2867 (=> @t2010 @t3219)))) % 6.62/6.87 (assume @p2393 (forall @t1506 (=> @t764 (= (tptp.hAPP @t3204 @t1504) @t3212)))) % 6.62/6.87 (assume @p2394 (forall @t1227 (=> (= (tptp.hAPP @t3194 @t3237) @t2270) (= (tptp.hAPP @t3194 @t793) @t2270)))) % 6.62/6.87 (assume @p2395 (forall @t3239 (= (= (tptp.hAPP (tptp.hAPP @t1551 @t3198) @t45) @t53) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1833 @t447)) (= (tptp.hAPP @t3238 @t45) @t53)))))) % 6.62/6.87 (assume @p2396 (forall @t261 (=> @t1904 (tptp.hBOOL (tptp.hAPP @t377 @t3240))))) % 6.62/6.87 (assume @p2397 (forall @t376 (=> @t764 (= (tptp.hAPP (tptp.hAPP @t670 @t3163) @t3241) @t371)))) % 6.62/6.87 (assume @p2398 (forall @t2934 (=> @t764 (= (tptp.hAPP @t3204 @t1216) (tptp.hAPP (tptp.hAPP @t670 @t1216) (tptp.c_Groups_Osgn__class_Osgn @t372 @t1216)))))) % 6.62/6.87 (assume @p2399 (forall @t54 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t1905) @t53))) % 6.62/6.87 (assume @p2400 (forall @t258 (=> (tptp.hBOOL (tptp.hAPP @t3242 @t74)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t3240) @t3223))))) % 6.62/6.87 (assume @p2401 (forall @t140 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t1908) (tptp.hAPP (tptp.hAPP @t1037 @t13) @t3223)))) % 6.62/6.87 (assume @p2402 (forall @t118 (=> @t3244 @t3243))) % 6.62/6.87 (assume @p2403 (forall @t118 (tptp.hBOOL (tptp.hAPP @t3242 (tptp.hAPP @t3067 @t3240))))) % 6.62/6.87 (assume @p2404 (forall @t54 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t1899) @t1021))) % 6.62/6.87 (assume @p2405 (forall @t258 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t1910) (tptp.hAPP (tptp.hAPP @t1037 @t3240) @t3223)))) % 6.62/6.87 (assume @p2406 (forall @t621 (=> (tptp.class_Rings_Oordered__ring__abs @t372) (=> (and (or @t2046 @t2057) (or @t2045 @t2056)) @t3216)))) % 6.62/6.87 (assume @p2407 (forall @t386 (=> @t764 (=> @t2165 (= (tptp.hAPP (tptp.hAPP @t670 (tptp.hAPP @t3204 @t381)) @t371) (tptp.hAPP @t3204 @t2166)))))) % 6.62/6.87 (assume @p2408 (forall @t1735 (= @t1704 @t3245))) % 6.62/6.87 (assume @p2409 (forall @t1983 (= @t3245 @t1704))) % 6.62/6.87 (assume @p2410 (forall @t612 (=> @t3207 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 (tptp.hAPP @t3204 (tptp.hAPP @t619 @t766))) (tptp.hAPP (tptp.hAPP @t577 (tptp.hAPP @t3204 (tptp.hAPP @t622 @t404))) (tptp.hAPP @t3204 (tptp.hAPP @t940 @t608)))))))) % 6.62/6.87 (assume @p2411 (forall @t621 (=> @t3207 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t3206) @t3217))))) % 6.62/6.87 (assume @p2412 (forall @t679 (=> @t3207 (=> @t2057 @t3246)))) % 6.62/6.87 (assume @p2413 (forall @t679 (=> @t3207 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 (tptp.hAPP @t834 @t3208)) @t1991))))) % 6.62/6.87 (assume @p2414 (forall @t679 (=> (tptp.class_Groups_Oabs__if @t372) (and @t3247 (=> (not @t2097) @t3230))))) % 6.62/6.87 (assume @p2415 (forall @t679 (=> @t3207 @t3247))) % 6.62/6.87 (assume @p2416 (forall @t1506 (=> @t764 (tptp.hBOOL (tptp.hAPP @t2044 @t3211))))) % 6.62/6.87 (assume @p2417 (forall @t399 (=> @t2868 (=> @t2866 (= (tptp.hAPP (tptp.hAPP @t2763 @t3241) @t381) (tptp.hAPP @t3204 @t2862)))))) % 6.62/6.87 (assume @p2418 (forall @t116 (=> @t1785 (=> @t88 (tptp.hBOOL (tptp.hAPP @t425 @t3197)))))) % 6.62/6.87 (assume @p2419 (forall @t54 (=> @t1785 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t53) @t166)))) % 6.62/6.87 (assume @p2420 (forall @t14 (=> @t1785 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t96) @t13)))) % 6.62/6.87 (assume @p2421 (forall @t2439 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 (tptp.hAPP @t3194 @t142)) @t2270)) @t2946))) % 6.62/6.87 (assume @p2422 (forall @t133 (=> @t1785 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t48) (tptp.hAPP @t1170 @t3197))))) % 6.62/6.87 (assume @p2423 (forall @t3193 (and (=> @t3249 (= @t3248 (tptp.hAPP @t2266 @t1261))) (=> (not @t3249) (= @t3248 @t1261))))) % 6.62/6.87 (assume @p2424 (forall @t54 (=> @t1785 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t1021) @t1084)))) % 6.62/6.87 (assume @p2425 (forall @t2441 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3194 @t2294)) (tptp.hAPP (tptp.hAPP @t1302 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3194 @t2282))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3194 @t392)))))) % 6.62/6.87 (assume @p2426 (forall @t2365 (tptp.hBOOL (tptp.hAPP @t2323 (tptp.hAPP (tptp.hAPP @t2243 @t3250) @t1211))))) % 6.62/6.87 (assume @p2427 (forall @t1735 (= @t3252 @t3251))) % 6.62/6.87 (assume @p2428 (forall @t1735 (= @t3251 @t3252))) % 6.62/6.87 (assume @p2429 (forall @t258 (= @t1039 (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t1907)))) % 6.62/6.87 (assume @p2430 (forall @t1765 (= (tptp.hAPP @t1761 @t1758) (tptp.hAPP (tptp.hAPP @t1037 (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t1859)) (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t1858))))) % 6.62/6.87 (assume @p2431 (forall @t258 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t1952)) (tptp.hAPP (tptp.hAPP @t1551 @t3240) @t3223))))) % 6.62/6.87 (assume @p2432 (forall @t2021 (= (tptp.hBOOL (tptp.hAPP @t2274 (tptp.hAPP (tptp.hAPP @t2243 (tptp.hAPP @t3194 @t60)) @t1196))) (or (not (= @t60 @t2273)) @t1987)))) % 6.62/6.87 (assume @p2433 (forall @t147 (=> @t1785 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t154) @t1183)))) % 6.62/6.87 (assume @p2434 (forall @t258 (=> @t1785 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t1089 @t74) @t3197) (tptp.hAPP (tptp.hAPP @t1167 @t74) @t45)))))) % 6.62/6.87 (assume @p2435 (forall @t118 (=> @t1785 (=> @t50 (=> @t90 (= @t1470 @t3197)))))) % 6.62/6.87 (assume @p2436 (forall @t1375 (= (tptp.c_Nitpick_Oint__lcm @t371 @t381) (tptp.hAPP @t2264 (tptp.c_Nitpick_Onat__lcm @t3254 @t3253))))) % 6.62/6.87 (assume @p2437 (forall (@list @t2 @t39 @t8 @t199) (=> (not (= @t199 @t1905)) (=> (forall @t3255 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t289) @t199)) (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t289))) (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t1980))))) % 6.62/6.87 (assume @p2438 (forall @t258 (=> (forall @t3258 (=> (tptp.hBOOL (tptp.hAPP @t3257 @t45)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t3256) @t74)))) (=> (not (= @t45 @t1905)) @t1903)))) % 6.62/6.87 (assume @p2439 (forall (@list @t1199 @t2 @t1196) (=> (forall @t1033 (=> @t3265 @t3263)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2509) @t1199)) (=> @t3261 (exists @t1033 (and @t3260 @t3259))))))) % 6.62/6.87 (assume @p2440 (forall @t825 (= @t3266 (tptp.hAPP (tptp.hAPP @t3221 @t199) @t1979)))) % 6.62/6.87 (assume @p2441 (forall @t1375 (= (tptp.c_Nitpick_Onat__lcm @t371 @t381) (tptp.hAPP (tptp.hAPP @t2709 @t2366) @t3267)))) % 6.62/6.87 (assume @p2442 (forall @t118 (=> @t3243 (=> (forall (@list @t3268) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t3268) @t45)) (tptp.hBOOL (tptp.hAPP @t42 @t3268)))) @t3244)))) % 6.62/6.87 (assume @p2443 (forall (@list @t37 @t60 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t3086 @t37))) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1833 @t3269)) (forall @t458 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t453) @t3269)) (=> @t1622 (= (tptp.hAPP @t3238 @t453) @t53)))))) (= (tptp.hAPP (tptp.hAPP @t1551 @t60) (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t37)) @t53))))) % 6.62/6.87 (assume @p2444 (forall (@list @t1199 @t447 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3076 @t447)) (=> (tptp.hBOOL (tptp.hAPP @t42 @t3198)) (=> (forall (@list @t3272) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t3272) @t447)) (= (tptp.hAPP @t1013 @t3272) @t1199))) (=> (forall (@list @t3271) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t3271) @t447)) (forall (@list @t3270) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t3270) @t447)) (=> (not (= @t3271 @t3270)) (= (tptp.hAPP (tptp.hAPP @t1551 @t3271) @t3270) @t53)))))) (= (tptp.hAPP @t2031 (tptp.hAPP @t3069 @t447)) (tptp.hAPP @t1013 @t3198)))))))) % 6.62/6.87 (assume @p2445 (forall @t2578 (and (=> @t3273 (= @t3267 @t371)) (=> (not @t3273) (= @t3267 (tptp.c_Nitpick_Onat__gcd @t381 @t3176)))))) % 6.62/6.87 (assume @p2446 (forall @t1375 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t371) @t381) (tptp.hAPP @t2264 (tptp.c_Nitpick_Onat__gcd @t3254 @t3253))))) % 6.62/6.87 (assume @p2447 (forall @t2190 (=> @t823 (=> @t2188 @t2189)))) % 6.62/6.87 (assume @p2448 (forall (@list @t45 @t2 @t125 @t39 @t8 @t1742) (=> (not (= @t1742 @t53)) (=> (forall @t1033 (=> (tptp.hBOOL (tptp.hAPP @t1032 @t1742)) (tptp.c_Fun_Oinj__on @t39 @t125 @t2 (tptp.hAPP @t45 @t1029)))) (tptp.c_Fun_Oinj__on @t39 @t125 @t2 @t1850))))) % 6.62/6.87 (assume @p2449 (forall @t530 (=> @t235 (=> @t234 (=> @t521 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t143 @t1585)) (= @t4 @t142))) @t1162)))))) % 6.62/6.87 (assume @p2450 (forall @t3289 (=> (not @t3288) (= @t3286 @t3281)))) % 6.62/6.87 (assume @p2451 (forall @t3289 (=> @t3288 (not (= @t3281 @t1975))))) % 6.62/6.87 (assume @p2452 (forall @t3289 (=> @t3288 (= (tptp.hAPP tptp.c_Nat_OSuc @t3286) @t3281)))) % 6.62/6.87 (assume @p2453 (forall @t3294 (=> @t3293 @t3292))) % 6.62/6.87 (assume @p2454 (forall @t3301 (=> (or @t3300 @t3299) (tptp.hBOOL (tptp.hAPP @t42 @t3297))))) % 6.62/6.87 (assume @p2455 (forall @t2221 (tptp.hBOOL (tptp.hAPP @t1285 (tptp.hAPP @t3280 (tptp.hAPP @t3275 @t1199)))))) % 6.62/6.87 (assume @p2456 (forall @t2221 (tptp.hBOOL (tptp.hAPP @t1285 (tptp.hAPP @t3280 (tptp.hAPP (tptp.hAPP @t3274 @t1144) @t1199)))))) % 6.62/6.87 (assume @p2457 (forall @t3301 (= @t3303 (tptp.hAPP (tptp.hAPP @t1037 @t3291) @t3298)))) % 6.62/6.87 (assume @p2458 (forall @t3301 (= @t3297 (tptp.hAPP (tptp.hAPP @t1551 @t3291) @t3298)))) % 6.62/6.87 (assume @p2459 (forall @t3304 (=> @t3292 @t3293))) % 6.62/6.87 (assume @p2460 (forall @t3304 (= @t3292 @t3293))) % 6.62/6.87 (assume @p2461 (forall @t118 (= (tptp.hAPP @t3290 @t340) @t45))) % 6.62/6.87 (assume @p2462 (forall @t54 (= @t53 (tptp.hAPP @t3290 @t3306)))) % 6.62/6.87 (assume @p2463 (forall @t3309 (= (= @t53 @t3291) @t3308))) % 6.62/6.87 (assume @p2464 (forall @t3309 (= (= @t3291 @t53) @t3308))) % 6.62/6.87 (assume @p2465 (forall @t3309 (= @t3291 @t180))) % 6.62/6.87 (assume @p2466 (forall @t54 (= @t1021 (tptp.hAPP @t3290 (tptp.hAPP @t3305 tptp.c_fTrue))))) % 6.62/6.87 (assume @p2467 (forall @t3304 (= (tptp.hAPP @t47 @t3291) (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t3312 (tptp.hAPP @t3311 @t325))) @t180))))) % 6.62/6.87 (assume @p2468 (forall @t3301 (= (tptp.hBOOL (tptp.hAPP @t42 @t3303)) (and @t3300 @t3299)))) % 6.62/6.87 (assume @p2469 (forall @t3309 (= @t3315 @t3313))) % 6.62/6.87 (assume @p2470 (forall @t3319 (= (tptp.hAPP @t1530 @t3318) (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t3316 @t180) @t2))))) % 6.62/6.87 (assume @p2471 (forall @t140 (= @t139 (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t3302 @t325)) @t2199))))) % 6.62/6.87 (assume @p2472 (forall @t258 (= @t1039 (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t3302 @t340)) @t2199))))) % 6.62/6.87 (assume @p2473 (forall @t258 (= @t1553 @t3320))) % 6.62/6.87 (assume @p2474 (forall (@list @t180 @t45 @t60 @t8) (= (tptp.hBOOL (tptp.hAPP @t87 @t3321)) (and @t88 @t422)))) % 6.62/6.87 (assume @p2475 (forall @t14 (= (tptp.hAPP @t3290 @t1390) @t96))) % 6.62/6.87 (assume @p2476 (forall @t14 (= @t3322 @t96))) % 6.62/6.87 (assume @p2477 (forall @t3294 (and (=> @t3293 (= @t3323 @t96)) (=> @t3324 (= @t3323 @t53))))) % 6.62/6.87 (assume @p2478 (forall @t3294 (and (=> @t3293 (= @t3325 @t96)) (=> @t3324 (= @t3325 @t53))))) % 6.62/6.87 (assume @p2479 (forall @t258 (= @t254 (tptp.hAPP @t3290 (tptp.hAPP @t345 (tptp.hAPP @t3311 @t2199)))))) % 6.62/6.87 (assume @p2480 (forall @t3309 (=> @t3300 (= (tptp.hBOOL (tptp.hAPP @t42 @t3315)) @t1056)))) % 6.62/6.87 (assume @p2481 (forall @t140 (= @t139 (tptp.hAPP (tptp.hAPP @t1037 @t3322) @t74)))) % 6.62/6.87 (assume @p2482 (forall @t118 (= @t827 (tptp.hAPP @t3290 (tptp.hAPP @t3311 @t340))))) % 6.62/6.87 (assume @p2483 (forall @t1694 (= @t1581 (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t80 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t39 (tptp.tc_fun @t80 tptp.tc_HOL_Obool) @t8) @t61) @t2)) @t74))))) % 6.62/6.87 (assume @p2484 (forall @t3301 (= (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t3312 @t180)) @t179)) (tptp.hAPP (tptp.hAPP @t1037 @t3313) @t3298)))) % 6.62/6.87 (assume @p2485 (forall @t2843 (tptp.hBOOL (tptp.hAPP @t1285 (tptp.hAPP @t3280 (tptp.hAPP (tptp.hAPP @t3279 (tptp.hAPP @t3278 @t180)) @t3282)))))) % 6.62/6.87 (assume @p2486 (forall (@list @t200 @t2 @t1540 @t39 @t199 @t8 @t125) (=> @t651 (=> @t823 (=> @t3339 (= (tptp.hAPP (tptp.hAPP @t646 (tptp.hAPP @t3338 @t3333)) @t199) (tptp.hAPP (tptp.hAPP @t647 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t39 @t52 @t125) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t8 @t125) (tptp.tc_fun @t52 @t125) @t39) @t646) (tptp.hAPP (tptp.c_COMBC @t8 @t39 @t125) @t2))) (tptp.hAPP @t3328 (tptp.hAPP (tptp.hAPP @t1763 @t3327) @t3326)))) @t1540))))))) % 6.62/6.87 (assume @p2487 (forall (@list @t199 @t1 @t2 @t180 @t8 @t39) (= (tptp.hAPP (tptp.c_Set_Oimage @t39 @t8 (tptp.hAPP (tptp.hAPP @t475 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t39 @t8 @t473) (tptp.hAPP @t1680 @t180)) @t2)) @t1)) @t199) (tptp.hAPP (tptp.hAPP @t1037 (tptp.hAPP @t55 (tptp.hAPP @t3341 @t3318))) (tptp.hAPP @t1159 (tptp.hAPP @t3341 (tptp.hAPP @t3317 (tptp.hAPP (tptp.hAPP @t3340 tptp.c_fNot) @t180)))))))) % 6.62/6.87 (assume @p2488 (forall (@list @t1196 @t2 @t8 @t45) (=> (= @t45 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t8 @t2) (tptp.hAPP @t3280 (tptp.hAPP @t3275 @t1196)))) @t50))) % 6.62/6.87 (assume @p2489 (forall @t2201 (=> @t575 (=> @t50 (= (tptp.hAPP @t358 @t3320) @t2200))))) % 6.62/6.87 (assume @p2490 (forall (@list @t2 @t125 @t1 @t199 @t8 @t39) (=> @t575 (=> @t823 (= (tptp.hAPP @t570 @t199) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t125 @t39) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 @t39 @t125) @t570) (tptp.hAPP (tptp.hAPP @t1773 @t3290) (tptp.hAPP (tptp.hAPP @t1773 @t3327) (tptp.hAPP (tptp.c_COMBC @t8 @t125 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t125 @t438 @t8) tptp.c_fequal) @t2)))))) (tptp.hAPP @t3342 @t199))))))) % 6.62/6.87 (assume @p2491 (forall (@list @t1 @t2 @t180 @t45 @t8 @t39) (=> @t575 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t357 (tptp.hAPP (tptp.hAPP @t628 (tptp.hAPP (tptp.hAPP @t1382 (tptp.hAPP @t1381 @t180)) @t2)) @t1)) @t45) (tptp.hAPP (tptp.hAPP @t571 (tptp.hAPP @t358 @t3321)) (tptp.hAPP @t570 (tptp.hAPP @t1552 @t3313)))))))) % 6.62/6.87 (assume @p2492 (forall (@list @t1199 @t200 @t1540 @t39 @t199 @t8) (=> @t823 (=> @t3339 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t143 @t1540)) (= (tptp.hAPP @t1013 (tptp.hAPP @t3290 (tptp.hAPP @t3327 @t3344))) @t1199))) (= (tptp.hAPP (tptp.hAPP @t463 (tptp.hAPP @t3343 @t3333)) @t199) (tptp.hAPP @t2031 (tptp.hAPP @t1147 @t1540)))))))) % 6.62/6.87 (assume @p2493 (forall @t520 (=> @t665 (=> @t50 (=> @t90 (= (tptp.hAPP @t803 @t997) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 (tptp.hAPP @t3290 (tptp.hAPP @t3352 (tptp.hAPP (tptp.hAPP @t213 (tptp.hAPP @t3350 (tptp.hAPP @t3349 (tptp.hAPP @t3347 @t803)))) @t340)))))))))) % 6.62/6.87 (assume @p2494 (forall @t520 (=> @t665 (=> @t50 (=> @t90 (= (tptp.hAPP @t799 @t995) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 (tptp.hAPP @t3290 (tptp.hAPP @t3352 (tptp.hAPP (tptp.hAPP @t213 (tptp.hAPP @t3350 (tptp.hAPP @t3349 (tptp.hAPP @t3347 @t799)))) @t340)))))))))) % 6.62/6.87 (assume @p2495 (forall @t258 (=> @t665 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (= (tptp.hAPP (tptp.hAPP @t802 @t997) @t1004) (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 (tptp.hAPP @t3290 (tptp.hAPP @t3352 (tptp.hAPP @t3364 (tptp.hAPP (tptp.hAPP @t3363 (tptp.hAPP @t3362 (tptp.hAPP @t3361 (tptp.hAPP @t3359 (tptp.hAPP @t3357 @t802))))) @t3355))))))))))))) % 6.62/6.87 (assume @p2496 (forall @t118 (=> @t50 (tptp.hBOOL (tptp.hAPP @t3076 @t3366))))) % 6.62/6.87 (assume @p2497 (forall @t118 (= (tptp.hAPP @t3067 @t827) (tptp.hAPP @t3365 (tptp.hAPP (tptp.hAPP @t3367 @t3377) (tptp.hAPP (tptp.hAPP @t3376 (tptp.hAPP @t3375 (tptp.hAPP @t3372 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t52 @t294 @t1898) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1898 (tptp.tc_fun @t294 @t1898) @t52) @t3368) tptp.c_fequal)) @t826)))) (tptp.hAPP (tptp.hAPP @t3367 @t3074) @t3067))))))) % 6.62/6.87 (assume @p2498 (forall @t118 (= @t3068 @t3366))) % 6.62/6.87 (assume @p2499 (forall @t3381 (=> @t3300 (tptp.hBOOL (tptp.hAPP @t41 (tptp.hAPP @t3317 (tptp.hAPP @t3380 (tptp.hAPP (tptp.hAPP @t1695 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3348 @t294 @t39) @t344) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 @t3348 @t39) @t342) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t388 @t52) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 @t3378 @t39) @t3316) tptp.c_fequal)) @t2)))) @t180)))))))) % 6.62/6.87 (assume @p2500 (forall (@list @t179 @t39 @t180 @t8) (=> @t3300 (= (tptp.hBOOL (tptp.hAPP @t41 (tptp.hAPP @t3317 (tptp.hAPP @t3380 (tptp.hAPP (tptp.hAPP @t1763 @t3296) @t179))))) (forall @t641 (=> @t3385 (tptp.hBOOL (tptp.hAPP @t41 (tptp.hAPP @t3317 (tptp.hAPP @t3383 @t206)))))))))) % 6.62/6.87 (assume @p2501 (forall @t2383 (tptp.c_Nat__Transfer_Onat__set @t3391))) % 6.62/6.87 (assume @p2502 (forall @t2383 (= @t3391 (tptp.hAPP @t2386 (tptp.hAPP @t3280 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t180) @t2264)))))) % 6.62/6.87 (assume @p2503 (forall @t2383 (= (tptp.hAPP @t3280 @t180) (tptp.hAPP @t2809 (tptp.hAPP @t3390 (tptp.hAPP @t3389 (tptp.hAPP (tptp.hAPP @t3392 @t180) tptp.c_Int_Onat))))))) % 6.62/6.87 (assume @p2504 (forall @t3396 (=> @t3395 (=> @t225 (=> @t224 (= (tptp.hAPP @t3393 @t667) (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t3394))))))) % 6.62/6.87 (assume @p2505 (forall @t3396 (=> @t3395 (=> @t225 (=> @t224 (= (tptp.hAPP @t3393 @t661) (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t3394))))))) % 6.62/6.87 (assume @p2506 (forall @t258 (=> @t3397 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (= (tptp.hAPP (tptp.hAPP @t1089 @t1818) @t1967) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 (tptp.hAPP @t3290 (tptp.hAPP @t3352 (tptp.hAPP @t3364 (tptp.hAPP (tptp.hAPP @t3363 (tptp.hAPP @t3362 (tptp.hAPP @t3361 (tptp.hAPP @t3359 (tptp.hAPP @t3357 @t1089))))) @t3355))))))))))))) % 6.62/6.87 (assume @p2507 (forall @t520 (=> @t3397 (=> @t50 (=> @t90 (= (tptp.hAPP @t1112 @t1818) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 (tptp.hAPP @t3290 (tptp.hAPP @t3352 (tptp.hAPP (tptp.hAPP @t213 (tptp.hAPP @t3350 (tptp.hAPP @t3349 (tptp.hAPP @t3347 @t1112)))) @t340)))))))))) % 6.62/6.87 (assume @p2508 (forall @t258 (=> @t3397 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (= (tptp.hAPP (tptp.hAPP @t1588 @t1470) @t1484) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 (tptp.hAPP @t3290 (tptp.hAPP @t3352 (tptp.hAPP @t3364 (tptp.hAPP (tptp.hAPP @t3363 (tptp.hAPP @t3362 (tptp.hAPP @t3361 (tptp.hAPP @t3359 (tptp.hAPP @t3357 @t1588))))) @t3355))))))))))))) % 6.62/6.87 (assume @p2509 (forall @t520 (=> @t3397 (=> @t50 (=> @t90 (= (tptp.hAPP @t1610 @t1470) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 (tptp.hAPP @t3290 (tptp.hAPP @t3352 (tptp.hAPP (tptp.hAPP @t213 (tptp.hAPP @t3350 (tptp.hAPP @t3349 (tptp.hAPP @t3347 @t1610)))) @t340)))))))))) % 6.62/6.87 (assume @p2510 (forall @t258 (=> @t665 (=> @t50 (=> @t90 (=> @t260 (=> @t542 (= (tptp.hAPP (tptp.hAPP @t798 @t995) @t1005) (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 (tptp.hAPP @t3290 (tptp.hAPP @t3352 (tptp.hAPP @t3364 (tptp.hAPP (tptp.hAPP @t3363 (tptp.hAPP @t3362 (tptp.hAPP @t3361 (tptp.hAPP @t3359 (tptp.hAPP @t3357 @t798))))) @t3355))))))))))))) % 6.62/6.87 (assume @p2511 (forall (@list @t1199 @t200 @t29 @t39 @t2757 @t8) (=> @t2761 (=> (tptp.hBOOL (tptp.hAPP @t41 @t29)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t143 @t29)) (= (tptp.hAPP @t1013 (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t342 (tptp.hAPP @t202 @t2757))) @t3344))) (tptp.hAPP @t1199 @t3)))) (= (tptp.hAPP (tptp.hAPP @t463 (tptp.hAPP @t3343 (tptp.hAPP @t3332 (tptp.hAPP (tptp.hAPP @t1650 (tptp.hAPP @t3331 (tptp.hAPP @t3330 (tptp.hAPP @t1649 @t29)))) @t200)))) @t2757) (tptp.hAPP (tptp.hAPP @t2349 @t1199) @t29))))))) % 6.62/6.87 (assume @p2512 (forall @t118 (= @t50 (exists (@list @t2315 @t546) (= @t45 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t8 @t546) (tptp.hAPP @t3280 (tptp.hAPP @t3275 @t2315)))))))) % 6.62/6.87 (assume @p2513 (forall @t1149 (=> @t1350 (=> (tptp.hBOOL (tptp.hAPP @t41 @t93)) (exists @t7 (and @t130 (not (tptp.hBOOL (tptp.hAPP @t42 (tptp.hAPP @t3290 (tptp.hAPP @t345 (tptp.hAPP @t339 @t5)))))))))))) % 6.62/6.87 (assume @p2514 (forall @t3403 (=> @t50 (=> @t3402 (= (tptp.hAPP @t3069 @t3399) @t1014))))) % 6.62/6.87 (assume @p2515 (forall @t3403 (= (= @t3399 @t1905) @t89))) % 6.62/6.87 (assume @p2516 (forall @t3403 (= (= @t1905 @t3399) @t89))) % 6.62/6.87 (assume @p2517 (forall @t3404 (= (tptp.hAPP (tptp.hAPP @t3398 @t53) @t725) @t1905))) % 6.62/6.87 (assume @p2518 (forall (@list @t13 @t45 @t725 @t8) (=> @t3402 (=> @t67 (= (tptp.hAPP (tptp.hAPP @t3398 @t269) @t725) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t1898) @t3399) (tptp.hAPP (tptp.hAPP @t3398 @t96) @t725))))))) % 6.62/6.87 (assume @p2519 (forall @t3403 (= @t3399 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t1898) @t45) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1898 @t1898) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 @t3374 @t8) @t1906) (tptp.hAPP (tptp.hAPP @t3406 @t3405) @t214))) @t1905))))) % 6.62/6.87 (assume @p2520 (forall @t3409 (= @t3408 (tptp.hAPP (tptp.hAPP @t1906 @t3407) @t1905)))) % 6.62/6.87 (assume @p2521 (forall @t1192 (=> @t50 (=> @t3410 @t1606)))) % 6.62/6.87 (assume @p2522 (forall (@list @t1199 @t221) (=> (forall @t7 (=> @t1283 (tptp.hBOOL (tptp.hAPP @t1204 @t3)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t2368 @t1199) @t221)))) % 6.62/6.87 (assume @p2523 (forall (@list @t725 @t45 @t60 @t8) (=> @t88 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t3407) @t3399))))) % 6.62/6.87 (assume @p2524 (forall (@list @t74 @t725 @t8 @t39) (= (tptp.hAPP @t3411 @t74) (tptp.hAPP @t1693 (tptp.hAPP (tptp.hAPP @t1691 @t3411) @t1690))))) % 6.62/6.87 (assume @p2525 (forall (@list @t74 @t45 @t125 @t725 @t39 @t8) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t3414) @t3413)))) % 6.62/6.87 (assume @p2526 (forall @t3420 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t3419) @t3418)))) % 6.62/6.87 (assume @p2527 (forall (@list @t74 @t45 @t125 @t725 @t8 @t39) (= (tptp.hAPP @t3411 @t1719) (tptp.hAPP @t1718 @t3412)))) % 6.62/6.87 (assume @p2528 (forall @t3421 (= (tptp.hAPP @t3415 @t81) @t53))) % 6.62/6.87 (assume @p2529 (forall (@list @t45 @t544 @t725 @t3424 @t39 @t8) (=> @t3426 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t544) @t45)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t504 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t39 @t3424) @t544)) @t3423)))))) % 6.62/6.87 (assume @p2530 (forall (@list @t74 @t45 @t200 @t8 @t39) (= (tptp.hAPP @t3415 @t1131) (tptp.hAPP @t3427 @t3416)))) % 6.62/6.87 (assume @p2531 (forall (@list @t45 @t199 @t200 @t8 @t39) (= (tptp.hAPP (tptp.c_Relation_OImage @t39 @t8 (tptp.hAPP (tptp.hAPP @t3430 @t200) @t199)) @t45) (tptp.hAPP @t3427 (tptp.hAPP (tptp.c_Relation_OImage @t39 @t8 @t199) @t45))))) % 6.62/6.87 (assume @p2532 (forall (@list @t725 @t45 @t215 @t8) (=> @t3431 (not (forall @t7 (=> (= @t215 (tptp.hAPP @t3405 @t556)) @t132)))))) % 6.62/6.87 (assume @p2533 (forall (@list @t142 @t2794) (and (=> @t3438 (= @t3437 @t2796)) (=> (not @t3438) (= @t3437 (tptp.hAPP (tptp.hAPP @t3436 (tptp.hAPP @t2436 @t2794)) @t3435)))))) % 6.62/6.87 (assume @p2534 (forall (@list @t1196 @t45 @t2 @t8) (=> (= @t466 @t1879) (exists @t7 (and @t130 @t2187))))) % 6.62/6.87 (assume @p2535 (forall (@list @t381 @t1211 @t371) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t371 @t1211) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t381 @t1211)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t381) @t371)) (exists @t2745 (= @t371 (tptp.hAPP @t1296 (tptp.hAPP @t1305 @t2744)))))))) % 6.62/6.87 (assume @p2536 (forall @t1237 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2326))))) % 6.62/6.87 (assume @p2537 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2270)))) % 6.62/6.87 (assume @p2538 (forall (@list @t74 @t8 @t45) (=> (= @t45 @t3440) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 @t45) @t74))))) % 6.62/6.87 (assume @p2539 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2273)))) % 6.62/6.87 (assume @p2540 (forall @t2952 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t60))) @t2801))) % 6.62/6.87 (assume @p2541 (forall (@list @t3441) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3441)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3441) @t2273))))) % 6.62/6.87 (assume @p2542 (forall @t2306 (=> @t3442 @t2821))) % 6.62/6.87 (assume @p2543 (forall @t2306 (=> (not @t3442) @t2830))) % 6.62/6.87 (assume @p2544 (forall @t1237 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2267)))) % 6.62/6.87 (assume @p2545 (forall @t3444 (= (tptp.c_Com_Ocom_Ocom__size @t3443) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1223 (tptp.c_Com_Ocom_Ocom__size @t283)) (tptp.c_Com_Ocom_Ocom__size @t282))) @t1976)))) % 6.62/6.87 (assume @p2546 (forall @t3444 (= (tptp.hAPP @t2706 @t3443) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t2706 @t283)) (tptp.hAPP @t2706 @t282))) @t1976)))) % 6.62/6.87 (assume @p2547 (forall @t3445 (=> @t816 (=> @t823 (=> (forall @t7 (=> @t1926 @t1542)) (= @t1811 @t1349)))))) % 6.62/6.87 (assume @p2548 (forall @t118 (=> @t50 (=> (=> @t131 @t2204) @t2139)))) % 6.62/6.87 (assume @p2549 (forall (@list @t318 @t320 @t279 @t282 @t283 @t315) (= (= @t3443 @t3446) (and @t316 @t321 @t319)))) % 6.62/6.87 (assume @p2550 (forall (@list @t17 @t279 @t282 @t283 @t315) (not (= @t3443 @t280)))) % 6.62/6.87 (assume @p2551 (forall (@list @t282 @t283 @t315 @t17 @t279) (not (= @t280 @t3443)))) % 6.62/6.87 (assume @p2552 (forall (@list @t282 @t283 @t318 @t320 @t279) (not (= @t3446 @t284)))) % 6.62/6.87 (assume @p2553 (forall (@list @t318 @t320 @t279 @t282 @t283) (not (= @t284 @t3446)))) % 6.62/6.87 (assume @p2554 (forall @t3447 (not (= @t3446 tptp.c_Com_Ocom_OSKIP)))) % 6.62/6.87 (assume @p2555 (forall @t3447 (not (= tptp.c_Com_Ocom_OSKIP @t3446)))) % 6.62/6.87 (assume @p2556 (forall (@list @t1229 @t180 @t2488) (=> (forall @t1033 (=> (tptp.hBOOL (tptp.hAPP @t3264 @t2488)) (=> @t2670 (tptp.hBOOL (tptp.hAPP @t180 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3448 @t2488)))))) (=> (tptp.hBOOL (tptp.hAPP @t180 @t1229)) (=> (tptp.hBOOL (tptp.hAPP @t1234 @t2488)) @t2177))))) % 6.62/6.87 (assume @p2557 (forall @t3239 (=> (forall @t3258 (=> @t3450 @t3449)) @t1831))) % 6.62/6.87 (assume @p2558 (forall (@list @t142 @t38 @t1 @t45 @t8 @t39) (=> @t1027 (=> @t50 (=> (forall @t7 (=> @t130 @t3451)) (= @t1026 (tptp.hAPP (tptp.hAPP @t1419 @t142) @t45))))))) % 6.62/6.87 (assume @p2559 (forall @t1010 (=> @t1612 (=> @t50 (=> @t1012 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 (tptp.hAPP (tptp.hAPP @t1588 @t57) @t82)) (tptp.hAPP (tptp.hAPP @t1655 @t82) @t45)))))))) % 6.62/6.87 (assume @p2560 (forall @t1010 (=> @t1114 (=> @t50 (=> @t1009 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 (tptp.hAPP (tptp.hAPP @t1167 @t82) @t45)) (tptp.hAPP (tptp.hAPP @t1089 @t57) @t82)))))))) % 6.62/6.87 (assume @p2561 (forall @t3455 (=> (tptp.hBOOL (tptp.hAPP @t1978 @t3453)) (= @t3453 (tptp.hAPP tptp.c_Nat_OSuc @t3454))))) % 6.62/6.87 (assume @p2562 (forall (@list @t250 @t215 @t725 @t45 @t8) (=> @t3458 (=> @t3431 (=> @t3457 (or @t3456 (= (tptp.hAPP (tptp.hAPP @t1551 @t215) @t250) @t53))))))) % 6.62/6.87 (assume @p2563 (forall @t3461 (= (tptp.c_Com_Ocom_Ocom__size @t3460) @t2689))) % 6.62/6.87 (assume @p2564 (forall @t3472 (=> @t3471 (and (=> @t3468 @t3470) (=> @t3469 @t3465))))) % 6.62/6.87 (assume @p2565 (forall @t3472 (=> @t3471 (and (=> @t3473 @t3465) (=> (not @t3473) @t3470))))) % 6.62/6.87 (assume @p2566 (forall @t2934 (=> @t3471 (= @t3474 @t2931)))) % 6.62/6.87 (assume @p2567 (forall @t3472 (=> @t3471 (= (tptp.hAPP @t2930 @t3467) @t3463)))) % 6.62/6.87 (assume @p2568 (forall (@list @t17 @t279 @t3475 @t18 @t315 @t3459) (= (= @t3460 @t3476) (and (= @t3459 @t3475) @t316 @t19)))) % 6.62/6.87 (assume @p2569 (forall (@list @t60 @t787 @t8) (=> @t3479 (= (= @t3478 @t60) (= @t60 @t3478))))) % 6.62/6.87 (assume @p2570 (forall @t198 (=> @t3484 (= @t3482 @t112)))) % 6.62/6.87 (assume @p2571 (forall (@list @t18 @t315 @t3459 @t17 @t279) (not (= @t280 @t3460)))) % 6.62/6.87 (assume @p2572 (forall (@list @t17 @t279 @t18 @t315 @t3459) (not (= @t3460 @t280)))) % 6.62/6.87 (assume @p2573 (forall (@list @t18 @t315 @t3459 @t318 @t320 @t279) (not (= @t3446 @t3460)))) % 6.62/6.87 (assume @p2574 (forall (@list @t318 @t320 @t279 @t18 @t315 @t3459) (not (= @t3460 @t3446)))) % 6.62/6.87 (assume @p2575 (forall (@list @t318 @t320 @t18 @t315 @t3459) (not (= @t3460 @t322)))) % 6.62/6.87 (assume @p2576 (forall (@list @t18 @t315 @t3459 @t318 @t320) (not (= @t322 @t3460)))) % 6.62/6.87 (assume @p2577 (forall @t3485 (not (= @t3476 tptp.c_Com_Ocom_OSKIP)))) % 6.62/6.87 (assume @p2578 (forall @t3485 (not (= tptp.c_Com_Ocom_OSKIP @t3476)))) % 6.62/6.87 (assume @p2579 (forall @t3488 (=> (and @t3479 @t665) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t3486) @t3478)) (not (tptp.hBOOL (tptp.hAPP @t3487 @t3486))))))) % 6.62/6.87 (assume @p2580 (forall @t3499 (=> @t3498 (= (tptp.hAPP @t3493 (tptp.hAPP (tptp.hAPP @t3496 @t407) @t404)) (tptp.hAPP (tptp.hAPP @t3496 @t3495) @t3494))))) % 6.62/6.87 (assume @p2581 (forall @t3502 (=> @t3498 (= (tptp.hAPP (tptp.hAPP @t3492 (tptp.hAPP (tptp.hAPP @t3496 @t403) @t407)) @t3491) (tptp.hAPP (tptp.hAPP @t3496 @t3501) @t3500))))) % 6.62/6.87 (assume @p2582 (forall @t3499 (=> @t3504 (= (tptp.hAPP @t3493 (tptp.hAPP (tptp.hAPP @t3503 @t407) @t404)) (tptp.hAPP (tptp.hAPP @t3503 @t3495) @t3494))))) % 6.62/6.87 (assume @p2583 (forall @t3502 (=> @t3504 (= (tptp.hAPP (tptp.hAPP @t3492 (tptp.hAPP (tptp.hAPP @t3503 @t403) @t407)) @t3491) (tptp.hAPP (tptp.hAPP @t3503 @t3501) @t3500))))) % 6.62/6.87 (assume @p2584 (forall @t198 (=> @t3506 (= (tptp.hBOOL (tptp.hAPP @t3505 @t3480)) @t2828)))) % 6.62/6.87 (assume @p2585 (forall @t198 (=> @t3506 (= (tptp.hBOOL (tptp.hAPP @t3507 @t3480)) @t2840)))) % 6.62/6.87 (assume @p2586 (forall @t3513 (=> @t3512 (and (=> @t3510 (= @t3509 @t3508)) (=> @t3511 (= @t3509 @t3491)))))) % 6.62/6.87 (assume @p2587 (forall @t3513 (=> @t3512 (and (=> @t3510 (= @t3514 @t3491)) (=> @t3511 (= @t3514 @t3508)))))) % 6.62/6.87 (assume @p2588 (forall @t3520 (=> @t3471 (= (tptp.hAPP @t3519 (tptp.hAPP (tptp.hAPP @t577 @t3518) @t392)) (tptp.hAPP (tptp.hAPP @t577 @t3517) @t392))))) % 6.62/6.87 (assume @p2589 (forall @t3522 (=> @t3471 (= @t3521 @t3517)))) % 6.62/6.87 (assume @p2590 (forall @t3522 (=> @t3471 (= @t3517 @t3521)))) % 6.62/6.87 (assume @p2591 (forall @t3520 (=> @t3471 (= (tptp.hAPP @t3526 (tptp.hAPP (tptp.hAPP @t670 @t3518) @t392)) (tptp.hAPP (tptp.hAPP @t670 @t3525) @t392))))) % 6.62/6.87 (assume @p2592 (forall @t3522 (=> @t3471 (= @t3527 @t3525)))) % 6.62/6.87 (assume @p2593 (forall @t3522 (=> @t3471 (= @t3525 @t3527)))) % 6.62/6.87 (assume @p2594 (forall @t3522 (=> @t3471 (= (tptp.hAPP @t3462 (tptp.hAPP (tptp.hAPP @t2297 @t2191) @t2282)) @t3529)))) % 6.62/6.87 (assume @p2595 (forall @t3532 (=> @t3471 (= @t3531 @t3530)))) % 6.62/6.87 (assume @p2596 (forall @t3532 (=> @t3471 (= @t3530 @t3531)))) % 6.62/6.87 (assume @p2597 (forall @t3534 (=> @t3483 (tptp.hBOOL (tptp.hAPP @t3533 @t2262))))) % 6.62/6.87 (assume @p2598 (forall @t3403 (=> @t3458 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t3399) @t45)))) % 6.62/6.87 (assume @p2599 (forall @t3541 (=> @t3540 (= (= @t3539 @t13) (and (=> @t3538 (= @t57 @t3537)) @t3536))))) % 6.62/6.87 (assume @p2600 (forall @t3544 (=> @t3540 (= (= @t2779 @t3478) (and (=> @t2782 (= @t57 @t3543)) @t3542))))) % 6.62/6.87 (assume @p2601 (forall @t3545 (=> @t3540 (= (= @t3478 @t2779) (and (=> @t2782 (= @t3543 @t57)) @t3542))))) % 6.62/6.87 (assume @p2602 (forall @t3546 (=> @t3540 (= (= @t13 @t3539) (and (=> @t3538 (= @t3537 @t57)) @t3536))))) % 6.62/6.87 (assume @p2603 (forall (@list @t404 @t2282 @t2191 @t372) (=> @t3471 (= (tptp.hAPP @t3519 (tptp.hAPP (tptp.hAPP @t618 @t3518) @t404)) (tptp.hAPP (tptp.hAPP @t618 @t3517) @t404))))) % 6.62/6.87 (assume @p2604 (forall @t2950 (=> @t3471 (= (tptp.hAPP (tptp.hAPP @t670 @t3531) @t392) (tptp.hAPP (tptp.hAPP @t670 @t3530) @t392))))) % 6.62/6.87 (assume @p2605 (forall @t3522 (=> @t3471 (= @t3529 @t3548)))) % 6.62/6.87 (assume @p2606 (forall @t3541 (=> @t3555 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t702 @t3539) @t13)) (and (=> @t3552 @t3554) (=> @t3553 (and (=> @t3549 @t3551) (=> @t3550 @t2086)))))))) % 6.62/6.87 (assume @p2607 (forall @t3544 (=> @t3555 (= (tptp.hBOOL (tptp.hAPP @t2894 @t3478)) (and (=> @t2102 @t3557) (=> @t2853 (and (=> @t2101 @t3556) (=> @t2851 @t3552)))))))) % 6.62/6.87 (assume @p2608 (forall @t3545 (=> @t3555 (= (tptp.hBOOL (tptp.hAPP @t3487 @t2779)) (and (=> @t2102 @t3556) (=> @t2853 (and (=> @t2101 @t3557) (=> @t2851 @t3549)))))))) % 6.62/6.87 (assume @p2609 (forall @t3546 (=> @t3555 (= (tptp.hBOOL (tptp.hAPP @t713 @t3539)) (and (=> @t3552 @t3551) (=> @t3553 (and (=> @t3549 @t3554) (=> @t3550 @t2087)))))))) % 6.62/6.87 (assume @p2610 (forall @t376 (=> @t3561 (and (=> @t3560 (= @t3559 (tptp.hAPP @t834 @t3558))) (=> (not @t3560) (= @t3559 @t3558)))))) % 6.62/6.87 (assume @p2611 (forall (@list @t2282 @t404 @t2191 @t372) (=> @t3471 (= (tptp.hAPP @t3519 (tptp.hAPP (tptp.hAPP @t618 @t404) @t3518)) (tptp.hAPP (tptp.hAPP @t577 @t3548) @t404))))) % 6.62/6.87 (assume @p2612 (forall @t3546 (=> @t3555 (= (tptp.hBOOL (tptp.hAPP @t564 @t3539)) (and (=> @t3552 @t3563) (=> @t3553 (and (=> @t3549 @t3562) (=> @t3550 @t2065)))))))) % 6.62/6.87 (assume @p2613 (forall @t3545 (=> @t3555 (= (tptp.hBOOL (tptp.hAPP @t3564 @t2779)) (and (=> @t2102 @t3566) (=> @t2853 (and (=> @t2101 @t3565) (=> @t2851 (tptp.hBOOL (tptp.hAPP @t3564 @t1985)))))))))) % 6.62/6.87 (assume @p2614 (forall @t3544 (=> @t3555 (= (tptp.hBOOL (tptp.hAPP @t2857 @t3478)) (and (=> @t2102 @t3565) (=> @t2853 (and (=> @t2101 @t3566) (=> @t2851 (tptp.hBOOL (tptp.hAPP @t2064 @t3478)))))))))) % 6.62/6.87 (assume @p2615 (forall @t3541 (=> @t3555 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t3539) @t13)) (and (=> @t3552 @t3562) (=> @t3553 (and (=> @t3549 @t3563) (=> @t3550 @t2066)))))))) % 6.62/6.87 (assume @p2616 (forall @t3568 (=> @t3458 (=> @t67 (tptp.hBOOL (tptp.hAPP @t66 @t3567)))))) % 6.62/6.87 (assume @p2617 (forall @t3461 (= (tptp.hAPP @t2706 @t3460) @t2749))) % 6.62/6.87 (assume @p2618 (forall (@list @t13 @t2 @t39 @t725 @t45 @t8) (=> @t3458 (=> @t3569 (=> @t67 (= (tptp.hAPP (tptp.hAPP @t1557 @t3567) @t2) @t161)))))) % 6.62/6.87 (assume @p2619 (forall (@list @t192 @t193 @t2 @t125 @t3570 @t3575 @t39 @t3573 @t3576 @t8) (=> @t3579 (=> @t3578 (=> @t3577 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t193) @t3576)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t192) @t3575)) (= (tptp.hAPP (tptp.hAPP @t3574 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t3573) (tptp.hAPP @t637 @t53))) (tptp.hAPP (tptp.hAPP @t3572 (tptp.hAPP @t1721 (tptp.hAPP @t3571 (tptp.hAPP (tptp.hAPP @t83 @t192) @t81)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t193) @t192))))))))) % 6.62/6.87 (assume @p2620 (forall @t3586 (and (=> @t3584 (= @t3583 @t1976)) (=> @t3585 (= @t3583 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2270 @t3581))))))) % 6.62/6.87 (assume @p2621 (forall @t3586 (= (tptp.hAPP (tptp.hAPP @t2709 @t1976) @t3582) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3587 @t3581))))) % 6.62/6.87 (assume @p2622 (forall @t2434 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t3590) @t3589)) @t3588))) % 6.62/6.87 (assume @p2623 (forall @t2422 (= @t3592 (tptp.hAPP @t3466 @t2409)))) % 6.62/6.87 (assume @p2624 (forall @t2377 (= (tptp.hAPP @t3466 @t1216) @t1216))) % 6.62/6.87 (assume @p2625 (forall @t3593 (= (tptp.hAPP (tptp.hAPP @t2246 @t3467) @t3591) (tptp.hAPP @t3466 @t3524)))) % 6.62/6.87 (assume @p2626 (forall @t3593 (= (tptp.hAPP @t3594 @t3591) (tptp.hAPP @t3466 @t3516)))) % 6.62/6.87 (assume @p2627 (forall @t2434 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3590) @t3589)) @t2433))) % 6.62/6.87 (assume @p2628 (forall @t2422 (= @t3591 (tptp.hAPP @t2943 @t2282)))) % 6.62/6.87 (assume @p2629 (forall @t3455 (= @t3453 (tptp.hAPP tptp.c_Int_Onat @t3467)))) % 6.62/6.87 (assume @p2630 (forall @t2422 (= (tptp.hAPP tptp.c_Int_Onat @t3591) @t3595))) % 6.62/6.87 (assume @p2631 (forall (@list @t13 @t2 @t3570 @t125 @t39 @t3573 @t45 @t8) (=> (tptp.c_Equiv__Relations_Oequiv @t8 @t45 @t3573) (=> @t3596 (=> @t67 (tptp.c_Equiv__Relations_Ocongruent @t39 @t125 @t3570 @t161)))))) % 6.62/6.87 (assume @p2632 (forall @t3593 (= (tptp.hAPP (tptp.hAPP @t2297 @t3467) @t3591) (tptp.hAPP @t3466 @t3547)))) % 6.62/6.87 (assume @p2633 (forall @t3455 (=> @t3468 @t3597))) % 6.62/6.87 (assume @p2634 (forall (@list @t640 @t307) (= (= @t2310 @t3598) (and (= @t307 (tptp.hAPP tptp.c_Int_Onat @t3598)) (tptp.hBOOL (tptp.hAPP @t2323 @t3598)))))) % 6.62/6.87 (assume @p2635 (forall @t3605 (= (= @t3604 @t3603) (and (=> @t3602 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t3600) @t2273))) (=> (not @t3602) (and (=> @t3601 (= @t3598 @t2273)) (=> (not @t3601) (= @t640 @t3599)))))))) % 6.62/6.87 (assume @p2636 (forall @t3610 (and (=> @t3468 (= @t3609 @t3607)) (=> @t3469 (and (=> @t3584 (= @t3609 (tptp.hAPP @t3608 @t1216))) (=> @t3585 (= @t3609 (tptp.hAPP (tptp.hAPP @t1223 @t3606) @t1216)))))))) % 6.62/6.87 (assume @p2637 (forall @t3455 (and (=> @t3468 (= @t3611 @t2273)) (=> @t3469 (= @t3611 @t3467))))) % 6.62/6.87 (assume @p2638 (forall @t3613 (and (=> @t3468 (= @t3612 @t1975)) (=> @t3469 (and (=> @t3584 (= @t3612 @t3453)) (=> @t3585 (= @t3612 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3467 @t3581))))))))) % 6.62/6.87 (assume @p2639 (forall (@list @t13 @t2 @t125 @t3570 @t3575 @t39 @t3573 @t3576 @t8) (=> @t3579 (=> @t3578 (=> @t3577 (=> (tptp.hBOOL (tptp.hAPP @t1571 @t3575)) (tptp.c_Equiv__Relations_Ocongruent @t8 @t438 @t3573 (tptp.hAPP (tptp.hAPP @t3572 (tptp.hAPP @t1721 (tptp.hAPP @t3571 @t1529))) @t2)))))))) % 6.62/6.87 (assume @p2640 (forall @t3613 (and (=> @t3468 (= @t3615 @t1975)) (=> @t3469 (= @t3615 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3614 @t3581))))))) % 6.62/6.87 (assume @p2641 (forall @t3620 (and (=> @t3468 (= @t3618 (tptp.hAPP @t3619 @t1211))) (=> @t3469 (= @t3618 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3616 @t1211))))))) % 6.62/6.87 (assume @p2642 (forall @t3593 (and (=> @t3468 (= @t3621 (tptp.hAPP @t3619 @t3595))) (=> @t3469 (= @t3621 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3616 @t3595))))))) % 6.62/6.87 (assume @p2643 (forall @t3620 (and (=> @t3468 (= @t3623 @t1972)) (=> @t3469 (= @t3623 (tptp.hAPP (tptp.hAPP @t1223 @t3622) @t1211)))))) % 6.62/6.87 (assume @p2644 (forall (@list @t640 @t3599) (and (=> @t3625 (= @t3624 @t3604)) (=> (not @t3625) (= @t3624 (tptp.hAPP (tptp.hAPP @t3436 (tptp.hAPP @t3466 (tptp.hAPP (tptp.hAPP @t2303 @t640) (tptp.hAPP @t2266 @t3599)))) @t3435)))))) % 6.62/6.87 (assume @p2645 (forall @t3632 (= (tptp.hAPP (tptp.hAPP @t1397 @t3604) @t1879) (tptp.hAPP @t3631 (tptp.hAPP @t3434 (tptp.hAPP @t3629 (tptp.hAPP (tptp.hAPP @t3627 (tptp.hAPP (tptp.hAPP @t3626 @t1397) tptp.c_Int_Onat)) @t1196))))))) % 6.62/6.87 (assume @p2646 (forall @t3633 (= (tptp.hAPP @t3072 @t3604) (tptp.hAPP @t3631 (tptp.hAPP @t3434 (tptp.hAPP @t3629 (tptp.hAPP (tptp.hAPP @t3628 @t3071) tptp.c_Int_Onat))))))) % 6.62/6.87 (assume @p2647 (tptp.hBOOL (tptp.hAPP @t3634 tptp.c_Int_OPls))) % 6.62/6.87 (assume @p2648 (forall @t2377 (= (tptp.hAPP @t3635 tptp.c_Int_OPls) @t1216))) % 6.62/6.87 (assume @p2649 (= @t3636 tptp.c_Int_OPls)) % 6.62/6.87 (assume @p2650 (forall @t2377 (= (tptp.hAPP @t2429 tptp.c_Int_OPls) @t1216))) % 6.62/6.87 (assume @p2651 (forall @t2377 (= (tptp.hAPP @t3637 @t1216) @t1216))) % 6.62/6.87 (assume @p2652 (forall @t2422 (= (tptp.hAPP (tptp.hAPP @t2246 tptp.c_Int_OPls) @t2282) tptp.c_Int_OPls))) % 6.62/6.87 (assume @p2653 (forall @t3011 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t371)) @t371))) % 6.62/6.87 (assume @p2654 (not (tptp.hBOOL (tptp.hAPP @t3638 tptp.c_Int_OPls)))) % 6.62/6.87 (assume @p2655 (= tptp.c_Int_OPls @t2273)) % 6.62/6.87 (assume @p2656 (forall @t1171 (=> @t3471 (= @t1991 @t3639)))) % 6.62/6.87 (assume @p2657 (forall @t1171 (=> @t3471 (= @t3639 @t1991)))) % 6.62/6.87 (assume @p2658 (forall @t679 (=> @t3471 (= (tptp.hAPP (tptp.hAPP @t577 @t3639) @t403) @t403)))) % 6.62/6.87 (assume @p2659 (forall @t679 (=> @t3471 (= (tptp.hAPP @t583 @t3639) @t403)))) % 6.62/6.87 (assume @p2660 (not (tptp.hBOOL (tptp.hAPP @t3638 @t2273)))) % 6.62/6.87 (assume @p2661 (= @t1975 @t3640)) % 6.62/6.87 (assume @p2662 (= @t3640 @t1975)) % 6.62/6.87 (assume @p2663 (= @t2273 @t3641)) % 6.62/6.87 (assume @p2664 (forall (@list @t793 @t2191) (=> (tptp.hBOOL (tptp.hAPP @t3638 @t2191)) (= (tptp.hAPP @t1892 @t3453) (tptp.hAPP @t1221 @t3642))))) % 6.62/6.87 (assume @p2665 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3641)))) % 6.62/6.87 (assume @p2666 (forall @t3455 (and (=> @t3644 (= @t3643 @t1193)) (=> @t3645 (= @t3643 @t3622))))) % 6.62/6.87 (assume @p2667 (forall @t3455 (and (=> @t3644 (= @t3646 @t1193)) (=> @t3645 (= @t3646 @t3622))))) % 6.62/6.87 (assume @p2668 (forall @t2434 (= @t3588 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 (tptp.c_Int_Opred @t1199)) @t1455))))) % 6.62/6.87 (assume @p2669 (forall @t2377 (= @t3647 (tptp.hAPP @t3635 @t2270)))) % 6.62/6.87 (assume @p2670 (forall @t3455 (and (=> @t3648 (= @t3454 @t1975)) (=> (not @t3648) (= @t3454 @t3642))))) % 6.62/6.87 (assume @p2671 (forall @t376 (=> @t3649 (= (tptp.hAPP @t2861 @t3639) @t1991)))) % 6.62/6.87 (assume @p2672 (forall @t3653 (= @t3652 @t3651))) % 6.62/6.87 (assume @p2673 (forall @t3653 (= (= @t1975 @t3604) @t3651))) % 6.62/6.87 (assume @p2674 (tptp.hBOOL (tptp.hAPP @t2323 @t3641))) % 6.62/6.87 (assume @p2675 (forall @t3605 (= (tptp.hBOOL (tptp.hAPP @t3655 @t3603)) (and (=> @t3654 (tptp.hBOOL (tptp.hAPP @t3638 @t3599))) @t3654)))) % 6.62/6.87 (assume @p2676 (forall @t3605 (= (tptp.hBOOL (tptp.hAPP @t3656 @t3603)) (=> (not (tptp.hBOOL (tptp.hAPP @t3650 @t3599))) @t3651)))) % 6.62/6.87 (assume @p2677 (forall @t2377 (= @t3657 (tptp.hAPP @t2429 @t2270)))) % 6.62/6.87 (assume @p2678 (forall @t3658 (=> @t3506 (= (tptp.hBOOL (tptp.hAPP @t2064 @t3480)) (tptp.hBOOL (tptp.hAPP @t3634 @t109)))))) % 6.62/6.87 (assume @p2679 (forall @t165 (=> @t3506 (= (tptp.hBOOL (tptp.hAPP @t3505 @t1985)) (tptp.hBOOL (tptp.hAPP @t2827 tptp.c_Int_OPls)))))) % 6.62/6.87 (assume @p2680 (forall @t165 (=> @t3506 (= (tptp.hBOOL (tptp.hAPP @t3507 @t1985)) (tptp.hBOOL (tptp.hAPP @t2839 tptp.c_Int_OPls)))))) % 6.62/6.87 (assume @p2681 (forall @t3658 (=> @t3506 (= (tptp.hBOOL (tptp.hAPP @t2055 @t3480)) (tptp.hBOOL (tptp.hAPP @t3638 @t109)))))) % 6.62/6.87 (assume @p2682 (forall @t3653 (= (tptp.hBOOL (tptp.hAPP @t1978 @t3604)) (tptp.hBOOL (tptp.hAPP @t3638 @t640))))) % 6.62/6.87 (assume @p2683 (forall @t3613 (and (=> @t3644 (= @t3659 @t3582)) (=> @t3645 (and (=> @t3660 (= @t3659 @t3453)) (=> (not @t3660) (= @t3659 @t3606))))))) % 6.62/6.87 (assume @p2684 (forall @t2934 (=> @t3471 (= (tptp.hAPP @t3462 @t3657) (tptp.hAPP @t1340 @t3474))))) % 6.62/6.87 (assume @p2685 (forall @t3532 (=> @t3471 (= (tptp.hAPP @t3462 (tptp.c_Int_Opred @t2282)) (tptp.hAPP (tptp.hAPP @t577 @t1344) @t3518))))) % 6.62/6.87 (assume @p2686 (forall @t3613 (and (=> @t3644 (= @t3663 @t1975)) (=> @t3645 (= @t3663 @t3661))))) % 6.62/6.87 (assume @p2687 (forall @t3610 (and (=> @t3644 (= @t3664 @t1975)) (=> @t3645 (= @t3664 (tptp.hAPP (tptp.hAPP @t1302 @t3661) @t1216)))))) % 6.62/6.87 (assume @p2688 (forall @t3653 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3630)) @t3652))) % 6.62/6.87 (assume @p2689 (forall @t3632 (= (= @t3604 @t1879) @t3672))) % 6.62/6.87 (assume @p2690 (forall @t3633 (= (= @t1879 @t3604) @t3672))) % 6.62/6.87 (assume @p2691 (forall @t3679 (= (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t3604) (tptp.hAPP @t3678 (tptp.hAPP @t3676 @t2814))))) % 6.62/6.87 (assume @p2692 (forall @t3633 (= (tptp.hBOOL (tptp.hAPP @t2992 @t3604)) (tptp.hBOOL (tptp.hAPP @t3671 (tptp.hAPP @t3670 (tptp.hAPP @t3669 (tptp.hAPP (tptp.hAPP @t3392 @t1371) tptp.c_Int_Onat)))))))) % 6.62/6.87 (assume @p2693 (forall @t3632 (= (tptp.hBOOL (tptp.hAPP @t3655 @t1879)) (tptp.hBOOL (tptp.hAPP @t3671 (tptp.hAPP @t3669 (tptp.hAPP (tptp.hAPP @t3666 (tptp.hAPP (tptp.hAPP @t3665 @t1016) tptp.c_Int_Onat)) @t1196))))))) % 6.62/6.87 (assume @p2694 (forall @t3633 (= (tptp.hBOOL (tptp.hAPP @t1888 @t3604)) (tptp.hBOOL (tptp.hAPP @t3671 (tptp.hAPP @t3670 (tptp.hAPP @t3669 (tptp.hAPP (tptp.hAPP @t3392 @t1886) tptp.c_Int_Onat)))))))) % 6.62/6.87 (assume @p2695 (forall @t3632 (= (tptp.hBOOL (tptp.hAPP @t3656 @t1879)) (tptp.hBOOL (tptp.hAPP @t3671 (tptp.hAPP @t3669 (tptp.hAPP (tptp.hAPP @t3666 (tptp.hAPP (tptp.hAPP @t3665 @t1144) tptp.c_Int_Onat)) @t1196))))))) % 6.62/6.87 (assume @p2696 (forall @t3455 (and (=> @t3468 (= @t3680 @t1193)) (=> @t3469 (= @t3680 @t3622))))) % 6.62/6.87 (assume @p2697 (forall @t3633 (= (tptp.hAPP @t3085 @t3604) (tptp.hAPP @t3631 (tptp.hAPP @t3681 (tptp.hAPP @t3629 (tptp.hAPP (tptp.hAPP @t3628 @t3084) tptp.c_Int_Onat))))))) % 6.62/6.87 (assume @p2698 (forall @t3632 (= (tptp.hAPP (tptp.hAPP @t1393 @t3604) @t1879) (tptp.hAPP @t3631 (tptp.hAPP @t3681 (tptp.hAPP @t3629 (tptp.hAPP (tptp.hAPP @t3627 (tptp.hAPP (tptp.hAPP @t3626 @t1393) tptp.c_Int_Onat)) @t1196))))))) % 6.62/6.87 (assume @p2699 (forall @t3684 (= (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t3683) (tptp.hAPP @t3678 (tptp.hAPP (tptp.hAPP @t3675 (tptp.hAPP @t3674 (tptp.c_Nat_Onat_Onat__case @t8 @t13 @t2 @t1196))) (tptp.hAPP @t2813 @t3682)))))) % 6.62/6.87 (assume @p2700 (forall @t3684 (= (tptp.hAPP @t3685 @t3683) (tptp.hAPP @t3678 (tptp.hAPP (tptp.hAPP @t3675 (tptp.hAPP @t3674 (tptp.hAPP @t3685 @t1196))) (tptp.hAPP (tptp.hAPP @t3675 (tptp.hAPP @t3687 @t3682)) (tptp.hAPP @t3686 @t3682))))))) % 6.62/6.87 (assume @p2701 (forall @t3679 (= (tptp.hAPP @t3685 @t3604) (tptp.hAPP @t3678 (tptp.hAPP @t3676 (tptp.hAPP (tptp.hAPP @t3675 (tptp.hAPP @t3687 tptp.c_Int_Onat)) (tptp.hAPP @t3686 tptp.c_Int_Onat))))))) % 6.62/6.87 (assume @p2702 (forall (@list @t74 @t3688 @t3689 @t2 @t125 @t3570 @t3575 @t39 @t3573 @t3576 @t8) (=> @t3579 (=> @t3578 (=> @t3577 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t3689) (tptp.hAPP (tptp.hAPP @t3398 @t3576) @t3573))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3692 @t3688) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t39) @t3575) @t3570))) (=> (forall @t669 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t668) @t3576)) (forall (@list @t3691) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t3691) @t3575)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3690 (tptp.hAPP (tptp.hAPP @t2 @t668) @t3691)) @t74)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3690 (tptp.hAPP (tptp.hAPP @t3574 @t3689) (tptp.hAPP (tptp.hAPP @t3572 (tptp.hAPP @t1721 @t3688)) @t2))) @t74)))))))))) % 6.62/6.87 (assume @p2703 (forall (@list @t74 @t215 @t2 @t39 @t725 @t45 @t8) (=> @t3458 (=> @t3569 (=> @t3431 (=> (forall @t7 (=> @t130 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3692 @t5) @t74)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3692 @t3693) @t74)))))))) % 6.62/6.87 (assume @p2704 (forall @t3080 (= (tptp.hAPP @t3694 @t1975) @t169))) % 6.62/6.87 (assume @p2705 (forall @t3082 (= (tptp.hAPP @t3694 @t1868) (tptp.hAPP @t3081 (tptp.hAPP @t3694 @t1867))))) % 6.62/6.87 (assume @p2706 (forall @t165 (=> @t3483 (= (= @t3481 @t1985) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3477 (tptp.hAPP @t3695 @t3636))))))) % 6.62/6.87 (assume @p2707 (forall @t3658 (=> @t3483 (= (= @t1985 @t3480) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3477 (tptp.hAPP @t3637 @t3696))))))) % 6.62/6.87 (assume @p2708 (forall (@list @t640 @t787 @t8) (=> @t3483 (and (=> @t3702 (= @t3700 (tptp.hAPP @t3709 (tptp.hAPP (tptp.hAPP @t3706 (tptp.hAPP @t3705 (tptp.hAPP @t642 @t3486))) @t251)))) (=> @t3703 (= @t3700 @t1299)))))) % 6.62/6.87 (assume @p2709 (forall @t2321 (and (=> @t3702 (= @t3711 (tptp.hAPP @t3716 (tptp.hAPP (tptp.hAPP @t3715 (tptp.hAPP (tptp.hAPP @t3714 @t2246) (tptp.hAPP @t2246 @t142))) @t3712)))) (=> @t3703 (= @t3711 @t2270))))) % 6.62/6.87 (assume @p2710 (forall @t3532 (=> (and @t3471 (tptp.class_Int_Oring__char__0 @t372)) (not (tptp.c_Int_Oiszero @t372 @t3717))))) % 6.62/6.87 (assume @p2711 (forall @t2434 (= (tptp.hBOOL (tptp.hAPP @t3720 @t3718)) @t3588))) % 6.62/6.87 (assume @p2712 (forall @t3727 (= (tptp.hBOOL (tptp.hAPP @t3726 @t3724)) @t3723))) % 6.62/6.87 (assume @p2713 (forall @t2434 (= (= @t3719 @t3718) @t3728))) % 6.62/6.87 (assume @p2714 (forall @t2434 (= (tptp.hBOOL (tptp.hAPP @t3729 @t3718)) @t2433))) % 6.62/6.87 (assume @p2715 (forall @t3727 (= (tptp.hBOOL (tptp.hAPP @t3731 @t3724)) @t3730))) % 6.62/6.87 (assume @p2716 (forall @t2377 (not (= @t3732 tptp.c_Int_OPls)))) % 6.62/6.87 (assume @p2717 (forall @t3734 (not (= tptp.c_Int_OPls @t3733)))) % 6.62/6.87 (assume @p2718 (forall @t1171 (=> @t3471 (not (tptp.c_Int_Oiszero @t372 @t3736))))) % 6.62/6.87 (assume @p2719 (forall @t1171 (=> @t2346 (tptp.c_Int_Oiszero @t372 @t1991)))) % 6.62/6.87 (assume @p2720 (forall @t2947 (=> @t2350 (= (tptp.c_Int_Oiszero @t8 @t142) @t2878)))) % 6.62/6.87 (assume @p2721 (forall @t1171 (=> @t2346 (not (tptp.c_Int_Oiszero @t372 @t1322))))) % 6.62/6.87 (assume @p2722 (forall @t3738 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3697) @t2273)) @t3737))) % 6.62/6.87 (assume @p2723 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3634 @t3719)) @t3739))) % 6.62/6.87 (assume @p2724 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3729 tptp.c_Int_OPls)) @t3740))) % 6.62/6.87 (assume @p2725 (forall @t2377 (= @t3732 (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP @t2322 @t1216)) @t1216)))) % 6.62/6.87 (assume @p2726 (forall @t3738 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t3466 @t3697))) @t3741))) % 6.62/6.87 (assume @p2727 (forall @t2377 (= (tptp.hAPP @t2266 @t3732) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t2933))))) % 6.62/6.87 (assume @p2728 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t3735)) % 6.62/6.87 (assume @p2729 (forall @t3532 (=> @t3471 (= @t3717 (tptp.hAPP (tptp.hAPP @t577 @t3742) @t3518))))) % 6.62/6.87 (assume @p2730 (forall @t679 (=> @t3471 (= (tptp.hAPP (tptp.hAPP @t670 @t3736) @t403) @t403)))) % 6.62/6.87 (assume @p2731 (forall @t679 (=> @t3471 (= (tptp.hAPP @t673 @t3736) @t403)))) % 6.62/6.87 (assume @p2732 (forall @t1171 (=> @t3471 (= @t3736 @t1322)))) % 6.62/6.87 (assume @p2733 (forall @t1171 (=> @t3471 (= @t1322 @t3736)))) % 6.62/6.87 (assume @p2734 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3638 @t3719)) @t3739))) % 6.62/6.87 (assume @p2735 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3720 tptp.c_Int_OPls)) @t3740))) % 6.62/6.87 (assume @p2736 (forall @t376 (=> @t3743 (= (tptp.hAPP @t2861 @t3736) @t371)))) % 6.62/6.87 (assume @p2737 (forall @t679 (=> @t3743 (= (tptp.hAPP @t2764 @t3736) @t403)))) % 6.62/6.87 (assume @p2738 (forall @t3658 (=> @t3483 (= (= @t1299 @t3480) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3477 (tptp.hAPP @t3744 @t3696))))))) % 6.62/6.87 (assume @p2739 (forall @t165 (=> @t3483 (= (= @t3481 @t1299) (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3477 (tptp.hAPP @t3695 @t3745))))))) % 6.62/6.87 (assume @p2740 (= @t2270 (tptp.hAPP @t3466 @t3735))) % 6.62/6.87 (assume @p2741 (= @t3746 @t1193)) % 6.62/6.87 (assume @p2742 (= @t1193 @t3746)) % 6.62/6.87 (assume @p2743 (tptp.c_Nat__Transfer_Ois__nat @t3748)) % 6.62/6.87 (assume @p2744 (forall @t1171 (=> @t3471 (tptp.c_Int_Oiszero @t372 @t3639)))) % 6.62/6.87 (assume @p2745 (= @t3749 (tptp.hAPP tptp.c_Nat_OSuc @t2218))) % 6.62/6.87 (assume @p2746 (= @t3746 @t1976)) % 6.62/6.87 (assume @p2747 (forall @t679 (=> @t1325 (= (tptp.hAPP @t1488 @t3749) (tptp.hAPP (tptp.hAPP @t670 @t678) @t403))))) % 6.62/6.87 (assume @p2748 (tptp.hBOOL (tptp.hAPP @t2323 @t3748))) % 6.62/6.87 (assume @p2749 (forall @t1237 (= @t3753 @t3751))) % 6.62/6.87 (assume @p2750 (= @t3748 (tptp.hAPP @t2264 @t3749))) % 6.62/6.87 (assume @p2751 (= @t3749 (tptp.hAPP tptp.c_Int_Onat @t3748))) % 6.62/6.87 (assume @p2752 (forall @t3658 (=> @t3506 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t1299) @t3480)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t3735) @t109)))))) % 6.62/6.87 (assume @p2753 (forall @t165 (=> @t3506 (= (tptp.hBOOL (tptp.hAPP @t3505 @t1299)) (tptp.hBOOL (tptp.hAPP @t2827 @t3735)))))) % 6.62/6.87 (assume @p2754 (forall @t165 (=> @t3506 (= (tptp.hBOOL (tptp.hAPP @t3507 @t1299)) (tptp.hBOOL (tptp.hAPP @t2839 @t3735)))))) % 6.62/6.87 (assume @p2755 (forall @t3658 (=> @t3506 (= (tptp.hBOOL (tptp.hAPP @t1498 @t3480)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3735) @t109)))))) % 6.62/6.87 (assume @p2756 (forall @t3532 (=> @t3471 (= @t3742 (tptp.hAPP @t3462 (tptp.hAPP @t3744 @t2282)))))) % 6.62/6.87 (assume @p2757 (forall @t3472 (=> @t3471 (= (tptp.hAPP @t3519 @t1322) (tptp.hAPP @t3462 (tptp.hAPP @t3515 @t3735)))))) % 6.62/6.87 (assume @p2758 (forall @t1240 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t3640) @t1211)) (= @t1893 (tptp.hAPP @t1221 (tptp.hAPP @t1395 @t3746)))))) % 6.62/6.87 (assume @p2759 (forall @t3757 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3756 @t3453) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3754 @t3453)))) % 6.62/6.87 (assume @p2760 (forall @t1227 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3756 @t1211) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3754 @t1211)))) % 6.62/6.87 (assume @p2761 (forall @t1227 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t793 @t3753) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t793 @t3751)))) % 6.62/6.87 (assume @p2762 (forall @t3757 (= (tptp.hAPP @t3759 @t3453) (tptp.hAPP @t3758 @t3453)))) % 6.62/6.87 (assume @p2763 (forall @t1227 (= (tptp.hAPP @t3759 @t1211) (tptp.hAPP @t3758 @t1211)))) % 6.62/6.87 (assume @p2764 (forall @t1227 (= (tptp.hAPP @t2714 @t3753) (tptp.hAPP @t2714 @t3751)))) % 6.62/6.87 (assume @p2765 (forall @t198 (=> @t3483 (= @t3482 (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3477 (tptp.hAPP @t3695 @t3696))))))) % 6.62/6.87 (assume @p2766 (forall @t3532 (=> @t3471 (= (tptp.hAPP (tptp.hAPP @t618 @t1322) @t3518) (tptp.hAPP @t3462 (tptp.hAPP @t3744 @t2409)))))) % 6.62/6.87 (assume @p2767 (forall @t3472 (=> @t3471 (= (tptp.hAPP @t3528 @t1322) (tptp.hAPP @t3462 (tptp.hAPP @t3515 @t3745)))))) % 6.62/6.87 (assume @p2768 (forall @t3738 (and (=> @t3741 (= @t3698 @t1975)) (=> (not @t3741) (= @t3698 (tptp.hAPP @t3761 (tptp.hAPP @t3070 @t3760))))))) % 6.62/6.87 (assume @p2769 (forall @t2942 (=> @t3483 (and (=> @t3702 (= @t3763 (tptp.hAPP @t3764 (tptp.hAPP (tptp.hAPP @t3706 (tptp.hAPP @t3705 @t734)) @t251)))) (=> @t3703 (= @t3763 @t1299)))))) % 6.62/6.87 (assume @p2770 (forall @t3776 (and (=> @t3773 (= @t3772 (tptp.hAPP (tptp.hAPP @t2303 @t3775) @t2270))) (=> @t3774 (= @t3772 (tptp.hAPP (tptp.hAPP @t2297 (tptp.hAPP @t3768 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3765 @t3591))) @t2270)))))) % 6.62/6.87 (assume @p2771 (forall @t2600 (=> @t2651 (= @t3781 (tptp.hAPP (tptp.hAPP @t2297 (tptp.hAPP @t3768 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3777 @t403))) @t2270))))) % 6.62/6.87 (assume @p2772 (forall @t2219 (= (tptp.hAPP @t3768 (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) @t3782) (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 @t3713 tptp.tc_Nat_Onat) @t2246) @t2264)) @t149))) @t2215)) (tptp.hAPP (tptp.hAPP @t2246 @t2311) (tptp.hAPP @t3782 (tptp.hAPP @t3782 (tptp.hAPP (tptp.hAPP @t2246 (tptp.hAPP @t2264 @t2212)) @t149))))))) % 6.62/6.88 (assume @p2773 (forall @t2600 (=> @t2644 (= @t3783 (tptp.hAPP @t3133 @t403))))) % 6.62/6.88 (assume @p2774 (forall @t3131 (not (= @t3784 @t3733)))) % 6.62/6.88 (assume @p2775 (forall @t3131 (not (= @t3732 @t3785)))) % 6.62/6.88 (assume @p2776 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 6.62/6.88 (assume @p2777 (forall @t3787 (= (= tptp.c_Int_OPls @t3786) (= tptp.c_Int_OPls @t1455)))) % 6.62/6.88 (assume @p2778 (forall @t2221 (= (= @t3788 tptp.c_Int_OPls) (= @t1199 tptp.c_Int_OPls)))) % 6.62/6.88 (assume @p2779 (forall @t2377 (= (tptp.hAPP @t2266 @t3784) (tptp.c_Int_OBit0 @t2933)))) % 6.62/6.88 (assume @p2780 (forall @t3727 (= (tptp.hBOOL (tptp.hAPP @t3791 @t3789)) @t3730))) % 6.62/6.88 (assume @p2781 (forall @t2434 (= (tptp.hBOOL (tptp.hAPP @t3792 @t3786)) @t2433))) % 6.62/6.88 (assume @p2782 (forall @t2377 (= @t3784 (tptp.hAPP @t2429 @t1216)))) % 6.62/6.88 (assume @p2783 (forall @t3131 (= (tptp.hAPP @t3794 @t3785) (tptp.c_Int_OBit0 @t3793)))) % 6.62/6.88 (assume @p2784 (forall @t2434 (= (= @t3788 @t3786) @t3728))) % 6.62/6.88 (assume @p2785 (forall @t3131 (= (tptp.hAPP (tptp.hAPP @t2246 @t3784) @t1208) @t3795))) % 6.62/6.88 (assume @p2786 (forall @t3131 (= (tptp.hAPP @t3798 @t3785) @t3797))) % 6.62/6.88 (assume @p2787 (forall @t3727 (= (tptp.hBOOL (tptp.hAPP @t3799 @t3789)) @t3723))) % 6.62/6.88 (assume @p2788 (forall @t2434 (= (tptp.hBOOL (tptp.hAPP @t3800 @t3786)) @t3588))) % 6.62/6.88 (assume @p2789 (forall @t3738 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t3801) @t2273)) @t3737))) % 6.62/6.88 (assume @p2790 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3634 @t3788)) @t3739))) % 6.62/6.88 (assume @p2791 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3800 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t2638 tptp.c_Int_OPls))))) % 6.62/6.88 (assume @p2792 (forall @t2434 (= (tptp.hBOOL (tptp.hAPP @t3800 @t3718)) @t3588))) % 6.62/6.88 (assume @p2793 (forall @t3727 (= (tptp.hBOOL (tptp.hAPP @t3799 @t3724)) @t3723))) % 6.62/6.88 (assume @p2794 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3638 @t3788)) (tptp.hBOOL (tptp.hAPP @t3638 @t1199))))) % 6.62/6.88 (assume @p2795 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3792 tptp.c_Int_OPls)) @t3740))) % 6.62/6.88 (assume @p2796 (forall @t2434 (= (tptp.hBOOL (tptp.hAPP @t3729 @t3786)) @t2433))) % 6.62/6.88 (assume @p2797 (forall @t3727 (= (tptp.hBOOL (tptp.hAPP @t3731 @t3789)) @t3730))) % 6.62/6.88 (assume @p2798 (forall @t3131 (= (tptp.hAPP @t3794 @t3733) @t3802))) % 6.62/6.88 (assume @p2799 (forall @t3131 (= (tptp.hAPP @t3803 @t3785) @t3802))) % 6.62/6.88 (assume @p2800 (forall @t3734 (= (tptp.hAPP @t3804 @t3785) (tptp.c_Int_OBit0 (tptp.hAPP @t3804 @t1208))))) % 6.62/6.88 (assume @p2801 (forall @t3131 (= (tptp.hAPP @t3805 @t3733) @t3797))) % 6.62/6.88 (assume @p2802 (forall @t3131 (= (tptp.hAPP @t3805 @t3785) (tptp.c_Int_OBit1 @t3796)))) % 6.62/6.88 (assume @p2803 (forall @t3593 (= (tptp.hAPP (tptp.hAPP @t2584 @t3807) @t3770) @t3806))) % 6.62/6.88 (assume @p2804 (forall @t3738 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t3466 @t3801))) @t3741))) % 6.62/6.88 (assume @p2805 (forall @t2377 (= (tptp.c_Int_Opred @t3732) @t3784))) % 6.62/6.88 (assume @p2806 (forall @t2377 (= (tptp.c_Int_Opred @t3784) (tptp.c_Int_OBit1 @t3647)))) % 6.62/6.88 (assume @p2807 (forall @t3534 (=> @t3484 (= (tptp.c_Int_Oiszero @t8 (tptp.hAPP @t3477 @t3801)) (tptp.c_Int_Oiszero @t8 @t3478))))) % 6.62/6.88 (assume @p2808 (forall @t2377 (= (tptp.c_Int_Osucc @t3784) @t3732))) % 6.62/6.88 (assume @p2809 (forall @t2377 (= (tptp.c_Int_Osucc @t3732) (tptp.c_Int_OBit0 @t3657)))) % 6.62/6.88 (assume @p2810 (forall @t3738 (= @t3808 (tptp.hAPP @t3761 @t3760)))) % 6.62/6.88 (assume @p2811 (forall @t3532 (=> @t3471 (= @t3809 (tptp.hAPP (tptp.hAPP @t577 (tptp.hAPP @t1997 @t3518)) @t3518))))) % 6.62/6.88 (assume @p2812 (forall @t3727 (= (tptp.hBOOL (tptp.hAPP @t3726 @t3789)) @t3730))) % 6.62/6.88 (assume @p2813 (forall @t2434 (= (tptp.hBOOL (tptp.hAPP @t3720 @t3786)) @t2433))) % 6.62/6.88 (assume @p2814 (forall @t3727 (= (tptp.hBOOL (tptp.hAPP @t3791 @t3724)) @t3723))) % 6.62/6.88 (assume @p2815 (forall @t2434 (= (tptp.hBOOL (tptp.hAPP @t3792 @t3718)) @t3588))) % 6.62/6.88 (assume @p2816 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t218)) @t3810)) % 6.62/6.88 (assume @p2817 (forall @t3131 (= (tptp.hAPP (tptp.hAPP @t2246 @t3732) @t1208) (tptp.hAPP (tptp.hAPP @t2303 @t3795) @t1208)))) % 6.62/6.88 (assume @p2818 (forall @t3131 (= (tptp.hAPP @t3798 @t3733) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t2297 @t3647) @t1208))))) % 6.62/6.88 (assume @p2819 (forall @t3131 (= (tptp.hAPP @t3803 @t3733) (tptp.c_Int_OBit0 (tptp.hAPP @t2429 (tptp.c_Int_Osucc @t1208)))))) % 6.62/6.88 (assume @p2820 (forall (@list @t787 @t142 @t8) (=> @t3483 (= (tptp.hAPP @t3762 @t3808) (tptp.hAPP @t3764 @t3811))))) % 6.62/6.88 (assume @p2821 (forall @t2420 (= (tptp.hAPP @t3710 @t3808) (tptp.hAPP @t3716 (tptp.hAPP (tptp.hAPP @t3715 @t2246) @t3712))))) % 6.62/6.88 (assume @p2822 (forall @t3532 (=> @t3471 (= (tptp.hAPP @t1342 @t3518) @t3809)))) % 6.62/6.88 (assume @p2823 (forall @t1237 (=> (tptp.hBOOL (tptp.hAPP @t2323 @t3812)) (and (tptp.hBOOL (tptp.hAPP @t2323 (tptp.hAPP @t3466 (tptp.c_Int_OBit0 @t1211)))) (tptp.hBOOL (tptp.hAPP @t2323 (tptp.hAPP @t3466 (tptp.c_Int_OBit1 @t1211)))))))) % 6.62/6.88 (assume @p2824 (tptp.c_Nat__Transfer_Ois__nat @t3767)) % 6.62/6.88 (assume @p2825 (forall @t3488 (=> @t3483 (= (tptp.hAPP @t3699 @t3808) (tptp.hAPP @t3709 @t3811))))) % 6.62/6.88 (assume @p2826 (forall @t2951 (=> @t3471 (= (tptp.hAPP @t3815 @t392) @t3813)))) % 6.62/6.88 (assume @p2827 (forall @t2951 (=> @t3471 (= (tptp.hAPP @t2864 @t3814) @t3813)))) % 6.62/6.88 (assume @p2828 (forall @t1171 (=> @t3471 (= @t1341 @t3814)))) % 6.62/6.88 (assume @p2829 (forall @t14 (=> @t1347 (= (= @t3816 @t1985) @t1989)))) % 6.62/6.88 (assume @p2830 (forall @t1171 (=> @t2346 (= (tptp.hAPP @t1992 @t3810) @t1991)))) % 6.62/6.88 (assume @p2831 (= @t2218 @t3810)) % 6.62/6.88 (assume @p2832 (= @t3810 @t2218)) % 6.62/6.88 (assume @p2833 (forall @t376 (=> @t756 (= @t677 @t3817)))) % 6.62/6.88 (assume @p2834 (forall @t679 (=> @t1325 (= @t3818 @t678)))) % 6.62/6.88 (assume @p2835 (tptp.hBOOL (tptp.hAPP @t2323 @t3767))) % 6.62/6.88 (assume @p2836 (forall @t1237 (= (tptp.hAPP (tptp.hAPP @t1223 @t3810) @t1211) @t3752))) % 6.62/6.88 (assume @p2837 (forall @t1237 (= (tptp.hAPP @t1224 @t3810) @t3752))) % 6.62/6.88 (assume @p2838 (forall @t1171 (=> @t2346 (= (tptp.hAPP @t1523 @t3810) @t1322)))) % 6.62/6.88 (assume @p2839 (forall @t679 (=> @t1505 (= (tptp.hAPP @t1503 @t3810) @t3818)))) % 6.62/6.88 (assume @p2840 (forall @t2306 (= (tptp.hAPP @t3820 @t392) @t3819))) % 6.62/6.88 (assume @p2841 (forall @t2306 (= (tptp.hAPP (tptp.hAPP @t1302 @t392) @t3810) @t3819))) % 6.62/6.88 (assume @p2842 (forall @t1506 (=> @t1325 (= @t3823 @t3821)))) % 6.62/6.88 (assume @p2843 (= @t3767 (tptp.hAPP @t2264 @t3810))) % 6.62/6.88 (assume @p2844 (= @t3810 @t3824)) % 6.62/6.88 (assume @p2845 (forall @t679 (=> @t764 (= (tptp.hAPP @t3204 @t3818) @t3818)))) % 6.62/6.88 (assume @p2846 (forall @t679 (=> @t764 (= (tptp.hAPP @t3210 @t3810) @t3818)))) % 6.62/6.88 (assume @p2847 (= (tptp.hAPP @t1423 @t1193) @t3810)) % 6.62/6.88 (assume @p2848 (forall @t1321 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3755 @t3810) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t793 @t3810)))) % 6.62/6.88 (assume @p2849 (forall @t1321 (= (tptp.hAPP (tptp.hAPP @t2709 @t3755) @t3810) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t2714 @t3810))))) % 6.62/6.88 (assume @p2850 (forall @t3593 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3807 @t3770) @t3775))) % 6.62/6.88 (assume @p2851 (forall @t1321 (= (tptp.hAPP (tptp.hAPP @t2709 (tptp.hAPP @t1238 @t793)) @t3810) @t793))) % 6.62/6.88 (assume @p2852 (forall @t3404 (=> (and @t2856 @t3483) (= (tptp.hBOOL (tptp.hAPP @t2055 (tptp.hAPP (tptp.hAPP @t2775 @t725) (tptp.hAPP @t3477 @t3766)))) (tptp.hBOOL (tptp.hAPP @t2055 @t725)))))) % 6.62/6.88 (assume @p2853 (forall (@list @t2120 @t372) (=> (and @t2868 @t3471) (=> (tptp.hBOOL (tptp.hAPP @t2089 @t2120)) (tptp.hBOOL (tptp.hAPP @t2089 (tptp.hAPP (tptp.hAPP @t2763 @t2120) @t3814))))))) % 6.62/6.88 (assume @p2854 (forall @t679 (=> @t764 (tptp.hBOOL (tptp.hAPP @t2044 @t3818))))) % 6.62/6.88 (assume @p2855 (forall @t386 (=> @t1335 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t3817) @t3825)) (=> @t2164 @t384))))) % 6.62/6.88 (assume @p2856 (forall @t386 (=> @t1335 (=> (= @t3817 @t3825) (=> @t2165 (=> @t2164 @t398)))))) % 6.62/6.88 (assume @p2857 (forall @t14 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP @t2055 @t3816)) @t3231)))) % 6.62/6.88 (assume @p2858 (forall @t679 (=> @t764 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t3818) @t1991)))))) % 6.62/6.88 (assume @p2859 (forall @t198 (=> @t2122 (= (= @t3826 @t1985) @t2040)))) % 6.62/6.88 (assume @p2860 (forall (@list @t2282 @t3489) (=> (and (tptp.class_Groups_Omonoid__mult @t3489) @t3497) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t3489) @t3827) @t3810) (tptp.hAPP (tptp.hAPP @t3492 @t3827) @t3827))))) % 6.62/6.88 (assume @p2861 (forall @t1237 (=> (tptp.hBOOL (tptp.hAPP @t1370 @t3810)) (or @t1994 (= @t1211 @t1976))))) % 6.62/6.88 (assume @p2862 (= @t3824 @t2218)) % 6.62/6.88 (assume @p2863 (forall @t14 (=> @t1347 (= (= @t3816 @t1299) (or (= @t13 @t1299) (= @t13 @t1345)))))) % 6.62/6.88 (assume @p2864 (forall @t3830 (=> @t756 (= (tptp.hAPP @t1474 @t3822) @t3829)))) % 6.62/6.88 (assume @p2865 (forall @t1506 (=> @t1505 (= (tptp.hAPP @t1503 @t3822) @t3823)))) % 6.62/6.88 (assume @p2866 (forall @t386 (=> @t1335 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t3817) @t3825)) (=> @t2164 @t685))))) % 6.62/6.88 (assume @p2867 (forall @t386 (=> @t764 (tptp.hBOOL (tptp.hAPP @t2044 @t3831))))) % 6.62/6.88 (assume @p2868 (forall @t198 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t3826) @t1985)) @t2040)))) % 6.62/6.88 (assume @p2869 (forall @t198 (=> @t2122 (= (tptp.hBOOL (tptp.hAPP @t2055 @t3826)) @t2054)))) % 6.62/6.88 (assume @p2870 (forall @t386 (=> @t764 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t3831) @t1991)))))) % 6.62/6.88 (assume @p2871 (forall @t386 (=> @t3471 (= (tptp.hAPP (tptp.hAPP @t1472 (tptp.hAPP @t923 @t381)) @t3810) (tptp.hAPP (tptp.hAPP @t577 @t3831) @t3832))))) % 6.62/6.88 (assume @p2872 (forall @t1506 (=> @t764 (tptp.hBOOL (tptp.hAPP @t2044 @t3823))))) % 6.62/6.88 (assume @p2873 (forall @t1506 (=> @t1325 (= @t3834 (tptp.hAPP @t673 @t3821))))) % 6.62/6.88 (assume @p2874 (forall @t3830 (=> @t756 (= (tptp.hAPP @t1474 @t3833) (tptp.hAPP @t676 @t3829))))) % 6.62/6.88 (assume @p2875 (forall @t1524 (=> @t1505 (= (tptp.hAPP @t1502 @t3822) @t1322)))) % 6.62/6.88 (assume @p2876 (forall @t3776 (and (=> @t3773 (= @t3835 @t3806)) (=> @t3774 (= @t3835 (tptp.hAPP (tptp.hAPP @t2584 @t3765) @t3591)))))) % 6.62/6.88 (assume @p2877 (forall @t2452 (= (tptp.hBOOL (tptp.hAPP @t1978 @t3836)) (= @t3836 @t1193)))) % 6.62/6.88 (assume @p2878 (forall @t1237 (=> @t2734 (tptp.hBOOL (tptp.hAPP @t1978 (tptp.hAPP @t2716 @t3810)))))) % 6.62/6.88 (assume @p2879 (forall @t386 (=> @t3471 (= (tptp.hAPP (tptp.hAPP @t1472 @t954) @t3810) (tptp.hAPP (tptp.hAPP @t618 @t3831) @t3832))))) % 6.62/6.88 (assume @p2880 (forall @t1506 (=> @t764 (=> (tptp.hBOOL (tptp.hAPP @t2044 @t3834)) @t2046)))) % 6.62/6.88 (assume @p2881 (forall @t1506 (=> @t764 (=> @t2097 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t680 @t3834) @t1991)))))) % 6.62/6.88 (assume @p2882 (forall @t1524 (=> @t1505 (= (tptp.hAPP @t1502 @t3833) @t1344)))) % 6.62/6.88 (assume @p2883 (forall @t1237 (=> @t2027 (tptp.hBOOL (tptp.hAPP @t1978 (tptp.hAPP (tptp.hAPP @t2709 @t1973) @t3810)))))) % 6.62/6.88 (assume @p2884 (forall @t376 (=> @t2346 (=> @t2428 (= (tptp.hAPP @t2342 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3768 @t371))) (tptp.hAPP (tptp.hAPP @t577 @t3837) @t3837)))))) % 6.62/6.88 (assume @p2885 (forall @t2600 (=> @t2644 (= @t3781 (tptp.hAPP @t2322 (tptp.hAPP @t3768 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t407 @t403))))))) % 6.62/6.88 (assume @p2886 (forall @t2600 (=> @t2651 (= @t3783 (tptp.hAPP (tptp.hAPP @t2584 @t3777) @t403))))) % 6.62/6.88 (assume @p2887 (forall @t2377 (and (=> @t3845 (= @t3842 @t2273)) (=> (not @t3845) (and (=> @t3844 (= @t3842 @t3841)) (=> (not @t3844) (= @t3842 (tptp.hAPP (tptp.hAPP @t2303 @t3841) @t2270)))))))) % 6.62/6.88 (assume @p2888 (forall @t2248 (=> @t2280 (and (=> @t2634 (= @t3852 @t1985)) (=> @t3853 (and (=> @t2675 (= @t3852 (tptp.hAPP @t819 (tptp.hAPP @t2939 (tptp.hAPP @t2266 @t1199))))) (=> (not @t2675) (= @t3852 (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 @t3851 @t3850) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3849 (tptp.tc_fun @t3851 @t3850) tptp.tc_Int_Oint) (tptp.c_COMBB @t473 @t8 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t3849 tptp.tc_Int_Oint) @t3708) @t2939))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t473 @t473) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1679 (tptp.tc_fun @t473 @t473) tptp.tc_Int_Oint) @t3706) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t473 @t1679) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1679 (tptp.tc_fun @t473 @t1679) tptp.tc_Int_Oint) @t3704) (tptp.hAPP @t3673 @t3848))) @t3846))) (tptp.hAPP (tptp.hAPP @t2357 (tptp.hAPP (tptp.hAPP @t3704 @t587) @t3846)) @t1299)))) (tptp.c_Divides_Odivmod__int @t1199 @t3767)))))))))) % 6.62/6.88 (assume @p2889 (forall @t1524 (=> @t3471 (= (tptp.hAPP @t3855 @t3833) @t3854)))) % 6.62/6.88 (assume @p2890 (forall @t2377 (not (= @t3784 tptp.c_Int_OMin)))) % 6.62/6.88 (assume @p2891 (forall @t3734 (not (= tptp.c_Int_OMin @t3785)))) % 6.62/6.88 (assume @p2892 (tptp.hBOOL (tptp.hAPP @t3856 tptp.c_Int_OMin))) % 6.62/6.88 (assume @p2893 (= (tptp.hAPP (tptp.hAPP @t3858 @t3843) @t3857) @t3843)) % 6.62/6.88 (assume @p2894 (not (tptp.hBOOL (tptp.hAPP @t3859 tptp.c_Int_OMin)))) % 6.62/6.88 (assume @p2895 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 6.62/6.88 (assume @p2896 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 6.62/6.88 (assume @p2897 (forall @t2221 (= (= @t3719 tptp.c_Int_OMin) (= @t1199 tptp.c_Int_OMin)))) % 6.62/6.88 (assume @p2898 (forall @t3787 (= (= tptp.c_Int_OMin @t3718) (= tptp.c_Int_OMin @t1455)))) % 6.62/6.88 (assume @p2899 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 6.62/6.88 (assume @p2900 (tptp.hBOOL (tptp.hAPP @t3859 @t2273))) % 6.62/6.88 (assume @p2901 (not (tptp.hBOOL (tptp.hAPP @t3634 tptp.c_Int_OMin)))) % 6.62/6.88 (assume @p2902 (tptp.hBOOL (tptp.hAPP @t3856 tptp.c_Int_OPls))) % 6.62/6.88 (assume @p2903 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3720 tptp.c_Int_OMin)) @t3860))) % 6.62/6.88 (assume @p2904 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3856 @t3719)) (tptp.hBOOL (tptp.hAPP @t3856 @t1199))))) % 6.62/6.88 (assume @p2905 (not (tptp.hBOOL (tptp.hAPP @t3638 tptp.c_Int_OMin)))) % 6.62/6.88 (assume @p2906 (tptp.hBOOL (tptp.hAPP @t3859 tptp.c_Int_OPls))) % 6.62/6.88 (assume @p2907 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3729 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t2432 tptp.c_Int_OMin))))) % 6.62/6.88 (assume @p2908 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3859 @t3719)) @t3861))) % 6.62/6.88 (assume @p2909 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3800 tptp.c_Int_OMin)) @t3860))) % 6.62/6.88 (assume @p2910 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3859 @t3788)) @t3861))) % 6.62/6.88 (assume @p2911 (not (= @t3641 @t3862))) % 6.62/6.88 (assume @p2912 (= tptp.c_Int_OMin @t3189)) % 6.62/6.88 (assume @p2913 (forall @t2377 (= (tptp.hAPP (tptp.hAPP @t2246 tptp.c_Int_OMin) @t1216) @t2933))) % 6.62/6.88 (assume @p2914 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3862))) % 6.62/6.88 (assume @p2915 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 6.62/6.88 (assume @p2916 (forall @t2377 (= (tptp.hAPP @t2429 tptp.c_Int_OMin) @t3647))) % 6.62/6.88 (assume @p2917 (forall @t2377 (= (tptp.hAPP (tptp.hAPP @t2303 tptp.c_Int_OMin) @t1216) @t3647))) % 6.62/6.88 (assume @p2918 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 6.62/6.88 (assume @p2919 (forall @t1171 (=> @t3471 (not (tptp.c_Int_Oiszero @t372 @t3854))))) % 6.62/6.88 (assume @p2920 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 6.62/6.88 (assume @p2921 (forall @t2377 (= (tptp.hAPP @t3635 tptp.c_Int_OMin) @t3657))) % 6.62/6.88 (assume @p2922 (forall @t2951 (=> @t3471 (= (tptp.hAPP @t2864 @t3854) @t3863)))) % 6.62/6.88 (assume @p2923 (forall @t2951 (=> @t3471 (= (tptp.hAPP (tptp.hAPP @t670 @t3854) @t392) @t3863)))) % 6.62/6.88 (assume @p2924 (forall @t1171 (=> @t3471 (= @t1344 @t3854)))) % 6.62/6.88 (assume @p2925 (forall @t1171 (=> @t3471 (= @t3854 @t1344)))) % 6.62/6.88 (assume @p2926 (forall @t1171 (=> @t3561 (= (tptp.hAPP @t3204 @t3854) @t1322)))) % 6.62/6.88 (assume @p2927 (forall @t376 (=> @t3649 (= (tptp.hAPP @t2861 @t3854) @t836)))) % 6.62/6.88 (assume @p2928 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3856 @t3788)) @t3861))) % 6.62/6.88 (assume @p2929 (forall @t2221 (= (tptp.hBOOL (tptp.hAPP @t3792 tptp.c_Int_OMin)) @t3860))) % 6.62/6.88 (assume @p2930 (forall @t2622 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t403 @t3862) @t2273))) % 6.62/6.88 (assume @p2931 (forall @t3734 (= (tptp.hAPP @t3804 @t3733) @t3866))) % 6.62/6.88 (assume @p2932 (= (tptp.hAPP @t2266 tptp.c_Int_OMin) @t3735)) % 6.62/6.88 (assume @p2933 (forall @t1251 (= @t2272 (or @t2271 (and (= @t307 @t3862) (= @t1196 @t3862)))))) % 6.62/6.88 (assume @p2934 (forall @t1227 (=> (= @t3237 @t2270) (or (= @t793 @t2270) (= @t793 @t3862))))) % 6.62/6.88 (assume @p2935 (forall @t3734 (= (tptp.hAPP @t3864 @t3733) (tptp.c_Int_OBit0 @t3865)))) % 6.62/6.88 (assume @p2936 (forall @t3734 (= (tptp.hAPP @t3864 @t3785) @t3866))) % 6.62/6.88 (assume @p2937 (forall @t1171 (=> @t3471 (= (tptp.hAPP @t2930 @t3862) @t3854)))) % 6.62/6.88 (assume @p2938 (forall @t2622 (= (tptp.hAPP @t2595 @t3862) @t2598))) % 6.62/6.88 (assume @p2939 (= @t3843 (tptp.hAPP @t3838 tptp.c_Int_OPls))) % 6.62/6.88 (assume @p2940 (forall @t376 (=> @t3649 (= (tptp.hAPP (tptp.hAPP @t2763 @t3854) @t371) (tptp.hAPP @t834 (tptp.hAPP @t2806 @t371)))))) % 6.62/6.88 (assume @p2941 (forall @t1524 (=> @t3561 (= (tptp.hAPP @t3204 (tptp.hAPP @t3855 @t1211)) @t1322)))) % 6.62/6.88 (assume @p2942 (forall @t2594 (=> @t2608 (= (tptp.hAPP (tptp.hAPP @t2584 @t3862) @t407) @t3862)))) % 6.62/6.88 (assume @p2943 (forall @t2600 (=> @t2526 (=> @t3151 (= @t2596 @t3862))))) % 6.62/6.88 (assume @p2944 (forall @t2594 (=> @t2608 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3862 @t407) @t3867)))) % 6.62/6.88 (assume @p2945 (= @t3857 (tptp.hAPP @t3838 @t3735))) % 6.62/6.88 (assume @p2946 (forall @t1524 (=> @t3471 (= (tptp.hAPP @t3855 @t3822) @t1322)))) % 6.62/6.88 (assume @p2947 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t3870 (tptp.hAPP (tptp.hAPP @t3869 (tptp.hAPP @t3388 (tptp.hAPP @t3387 @t2274))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2389) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3868 @t3868 tptp.tc_Int_Oint) @t3847) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3713 @t3868 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2389 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t2270))))) % 6.62/6.88 (assume @p2948 (forall @t3876 (= @t3875 (tptp.hAPP @t3874 (tptp.hAPP @t3870 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t2389 @t2389) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t218 @t3872 tptp.tc_Int_Oint) @t3667) @t3871)) @t2268)))))) % 6.62/6.88 (assume @p2949 (forall @t3876 (= @t3877 (tptp.hAPP @t3874 (tptp.hAPP @t3870 (tptp.hAPP (tptp.hAPP @t3869 (tptp.hAPP @t3388 @t3871)) @t2268)))))) % 6.62/6.88 (assume @p2950 (forall @t1064 (tptp.c_Fun_Oinj__on @t388 @t1066 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1066 @t1066 @t388) @t3880) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3879 @t1066 @t388) @t3878) (tptp.hAPP @t336 (tptp.hAPP (tptp.c_COMBC @t39 @t39 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t1105))) % 6.62/6.88 (assume @p2951 (forall @t1740 (= (tptp.c_Nitpick_Oprod @t8 @t39 @t45 @t74) (tptp.hAPP @t3880 (tptp.hAPP @t3878 @t3882))))) % 6.62/6.88 (assume @p2952 (forall @t1416 (and (=> @t3885 (= @t3884 @t1211)) (=> (not @t3885) (= @t3884 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t3883 @t3857) @t1853)))))) % 6.62/6.88 (assume @p2953 (forall @t2641 (= @t3889 (tptp.hAPP @t3870 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2389 @t2389) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3888 @t3872 tptp.tc_Int_Oint) @t3388) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2389 @t3888 tptp.tc_Int_Oint) @t3387) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3713 @t2389 tptp.tc_Int_Oint) (tptp.hAPP @t3887 @t1390)) (tptp.hAPP @t3886 (tptp.hAPP @t2246 @t57)))))) (tptp.hAPP (tptp.hAPP @t3388 (tptp.hAPP @t3387 (tptp.hAPP (tptp.hAPP @t3667 (tptp.hAPP tptp.c_fimplies @t2618)) (tptp.hAPP @t3389 (tptp.hAPP (tptp.hAPP @t3847 @t2268) @t57))))) (tptp.hAPP (tptp.hAPP @t3667 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t2618))) (tptp.hAPP (tptp.hAPP @t3388 (tptp.hAPP @t3387 @t2614)) (tptp.hAPP (tptp.hAPP @t3847 @t2312) @t2273))))))))) % 6.62/6.88 (assume @p2954 (forall @t3126 (=> @t3159 (tptp.hBOOL (tptp.hAPP @t3891 @t3890))))) % 6.62/6.88 (assume @p2955 (forall @t3896 (=> @t3895 (=> @t3159 (=> @t2660 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t403 @t2659) (tptp.hAPP (tptp.hAPP @t3892 (tptp.hAPP (tptp.hAPP @t2584 @t1471) @t404)) @t3153)))))))) % 6.62/6.88 (assume @p2956 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t3843) @t1975)) % 6.62/6.88 (assume @p2957 (forall @t3534 (=> @t3483 (=> (tptp.hBOOL (tptp.hAPP @t3634 @t787)) (tptp.hBOOL (tptp.hAPP @t3533 @t3897)))))) % 6.62/6.88 (assume @p2958 (forall @t3911 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3910 @t3909) @t3908) @t60) @t109)) (tptp.hBOOL (tptp.hAPP @t3903 (tptp.hAPP (tptp.hAPP @t3898 @t200) @t199)))))) % 6.62/6.88 (assume @p2959 (forall @t3913 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3912 @t3909) @t3908)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3425 @t200) @t199))))) % 6.62/6.88 (assume @p2960 (forall @t3916 (= @t3915 (tptp.hBOOL (tptp.hAPP @t3903 @t3914))))) % 6.62/6.88 (assume @p2961 (forall @t3913 (= (= @t3909 @t3908) @t201))) % 6.62/6.88 (assume @p2962 (forall @t3911 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3918 @t3909) @t3908) @t60) @t109)) (tptp.hBOOL (tptp.hAPP @t3903 (tptp.hAPP (tptp.hAPP @t3917 @t200) @t199)))))) % 6.62/6.88 (assume @p2963 (forall (@list @t142 @t109 @t2 @t725 @t39 @t8) (=> @t3923 (=> (tptp.hBOOL (tptp.hAPP @t3922 @t725)) (= @t489 @t302))))) % 6.62/6.88 (assume @p2964 (forall (@list @t3924 @t3926 @t3925 @t3927 @t2 @t3570 @t3573 @t125 @t39 @t8) (=> @t3596 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 @t3927) @t3925)) @t3573)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 (tptp.hAPP (tptp.hAPP @t3928 @t3926) @t3924)) @t3570)) (= (tptp.hAPP (tptp.hAPP @t2 @t3927) @t3926) (tptp.hAPP (tptp.hAPP @t2 @t3925) @t3924))))))) % 6.62/6.88 (assume @p2965 (forall @t3937 (= @t3936 (exists @t7 (and @t144 @t3934))))) % 6.62/6.88 (assume @p2966 (forall (@list @t725 @t57 @t39 @t45 @t13 @t8) (=> @t67 (=> @t3941 (tptp.hBOOL (tptp.hAPP @t141 @t3423)))))) % 6.62/6.88 (assume @p2967 (forall @t3943 (=> @t3895 (=> @t3942 (=> @t3159 (= @t2120 @t2532)))))) % 6.62/6.88 (assume @p2968 (forall @t3943 (=> @t3895 (=> @t3942 (=> @t3159 (= @t1471 @t2529)))))) % 6.62/6.88 (assume @p2969 (forall @t3945 (=> @t3944 (=> @t2621 (= @t2120 @t2273))))) % 6.62/6.88 (assume @p2970 (forall @t2594 (=> @t3159 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2273 @t407) @t3947))))) % 6.62/6.88 (assume @p2971 (forall @t3959 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1847 @t1021) @t3958) @t60) @t109)) (tptp.hBOOL (tptp.hAPP @t3953 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t3949) @t1021) @t725)))))) % 6.62/6.88 (assume @p2972 (forall @t3959 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1565 @t1021) @t3958) @t60) @t109)) (tptp.hBOOL (tptp.hAPP @t3953 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t3949) @t1021) @t725)))))) % 6.62/6.88 (assume @p2973 (forall @t3945 (=> @t3944 (=> @t2621 (= @t1471 @t2270))))) % 6.62/6.88 (assume @p2974 (forall @t3960 (=> @t3895 (=> @t3159 (= @t3121 @t2120))))) % 6.62/6.88 (assume @p2975 (forall @t3960 (=> @t3895 (=> @t3159 (= @t2596 @t1471))))) % 6.62/6.88 (assume @p2976 (forall @t54 (=> @t2350 (tptp.hBOOL (tptp.hAPP @t2351 @t3897))))) % 6.62/6.88 (assume @p2977 (forall (@list @t1471 @t1477) (= (tptp.c_Divides_Odivmod__int @t1477 @t1471) (tptp.hAPP (tptp.hAPP @t3892 (tptp.hAPP (tptp.hAPP @t2584 @t1477) @t1471)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1477 @t1471))))) % 6.62/6.88 (assume @p2978 (forall @t147 (=> @t2350 (=> @t3962 (=> @t3961 (tptp.hBOOL (tptp.hAPP @t2352 @t3897))))))) % 6.62/6.88 (assume @p2979 (forall @t147 (=> @t2350 (=> @t3962 (=> @t3961 (tptp.hBOOL (tptp.hAPP @t2354 @t3897))))))) % 6.62/6.88 (assume @p2980 (forall @t54 (=> @t2350 (tptp.hBOOL (tptp.hAPP @t2355 @t3897))))) % 6.62/6.88 (assume @p2981 (forall @t2281 (=> @t2350 (tptp.hBOOL (tptp.hAPP @t2279 @t3897))))) % 6.62/6.88 (assume @p2982 (forall (@list @t13 @t725 @t39 @t57 @t8) (= (tptp.hBOOL (tptp.hAPP @t59 @t3965)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3933 @t3964) @t725))))) % 6.62/6.88 (assume @p2983 (forall @t3972 (=> @t3458 (=> @t3971 @t3967)))) % 6.62/6.88 (assume @p2984 (forall @t3978 (=> @t3458 (=> @t3431 (=> @t3457 (=> @t3977 (=> @t3976 (=> @t3975 @t3456)))))))) % 6.62/6.88 (assume @p2985 (forall @t3978 (=> @t3458 (=> @t3431 (=> @t3457 (=> @t3977 (=> @t3976 (= @t3456 @t3975)))))))) % 6.62/6.88 (assume @p2986 (forall @t3126 (=> @t3159 (tptp.hBOOL (tptp.hAPP @t3891 (tptp.hAPP (tptp.hAPP @t3892 @t2596) @t3121)))))) % 6.62/6.88 (assume @p2987 (forall (@list @t13 @t725 @t8 @t39) (= @t3965 (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3429 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3428 @t3979 @t8) @t3933) @t3963)) @t725))))) % 6.62/6.88 (assume @p2988 (forall (@list @t45 @t57 @t13 @t725 @t8) (=> @t3967 (=> @t3458 @t3980)))) % 6.62/6.88 (assume @p2989 (forall @t3982 (=> @t3458 (=> @t88 (=> @t111 (= @t3981 @t3975)))))) % 6.62/6.88 (assume @p2990 (forall @t3982 (=> @t3458 (= @t3975 (and @t3981 @t88 @t111))))) % 6.62/6.88 (assume @p2991 (forall @t3972 (=> @t3458 (=> @t3971 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t3567) @t3966)))))) % 6.62/6.88 (assume @p2992 (forall @t3982 (=> @t3458 (=> @t88 (=> @t111 (= (= @t3408 (tptp.hAPP (tptp.hAPP @t3398 @t1015) @t725)) @t3975)))))) % 6.62/6.88 (assume @p2993 (forall @t3990 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t403 @t404) (tptp.hAPP (tptp.hAPP @t3892 @t3987) @t3984))) (=> (tptp.hBOOL (tptp.hAPP @t3989 (tptp.hAPP (tptp.hAPP @t3892 @t3986) @t3983))) (=> @t3988 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3136 @t404) (tptp.hAPP (tptp.hAPP @t3892 (tptp.hAPP (tptp.hAPP @t2303 (tptp.hAPP (tptp.hAPP @t2303 @t3987) @t3986)) (tptp.hAPP (tptp.hAPP @t2584 @t3985) @t404))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3985 @t404))))))))) % 6.62/6.88 (assume @p2994 (forall (@list @t725 @t2747 @t57 @t13) (=> (tptp.hBOOL (tptp.hAPP @t3889 @t3994)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3993 @t57) (tptp.hAPP (tptp.hAPP @t3892 (tptp.hAPP (tptp.hAPP @t3991 @t3992) (tptp.hAPP (tptp.hAPP @t2297 @t3992) @t2270))) (tptp.hAPP (tptp.hAPP @t3991 @t2273) (tptp.hAPP (tptp.hAPP @t2297 @t57) @t725)))))))) % 6.62/6.88 (assume @p2995 (forall (@list @t13 @t57 @t725 @t45 @t8) (=> @t3458 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t3966) @t3567)) @t3980)))) % 6.62/6.88 (assume @p2996 (forall (@list @t57 @t13 @t60 @t725 @t45 @t8) (=> @t3458 (=> (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP (tptp.hAPP @t1551 @t3567) @t3966))) @t3971)))) % 6.62/6.88 (assume @p2997 (forall @t3960 (=> (= @t403 @t2544) (=> (and (=> @t2608 (and @t2522 @t2542)) (=> @t3995 (and @t2559 @t2560))) @t3895)))) % 6.62/6.88 (assume @p2998 (forall @t3997 (=> (tptp.hBOOL (tptp.hAPP @t3989 @t3894)) (=> @t3988 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3107 @t404) (tptp.hAPP (tptp.hAPP @t3892 (tptp.hAPP (tptp.hAPP @t2303 @t2524) (tptp.hAPP (tptp.hAPP @t2584 @t3996) @t404))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3996 @t404)))))))) % 6.62/6.88 (assume @p2999 (forall (@list @t2 @t125 @t45 @t57 @t13 @t39 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3940 @t45)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2587 @t4000) (tptp.hAPP (tptp.c_Set_Oimage @t1065 @t125 @t3999) @t45)))))) % 6.62/6.88 (assume @p3000 (forall @t2616 @t4007)) % 6.62/6.88 (assume @p3001 (forall (@list @t725 @t2747 @t57) (= (tptp.hAPP @t4013 @t3994) (tptp.hAPP (tptp.hAPP @t4003 (tptp.hAPP (tptp.hAPP @t2297 @t725) @t57)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3873 @t3873) (tptp.hAPP (tptp.hAPP @t4012 (tptp.hAPP @t4011 @t2323)) (tptp.hAPP @t3892 (tptp.hAPP (tptp.hAPP @t2303 @t4008) @t2270)))) (tptp.hAPP (tptp.hAPP @t3892 @t4008) @t725)))))) % 6.62/6.88 (assume @p3002 (forall (@list @t39 @t8 @t45 @t109 @t60 @t74) (=> (=> @t4017 @t4015) @t4014))) % 6.62/6.88 (assume @p3003 (forall @t4018 (=> @t4014 (=> (not @t4015) @t4016)))) % 6.62/6.88 (assume @p3004 (forall @t4018 (=> @t4019 (not (=> @t4015 @t4017))))) % 6.62/6.88 (assume @p3005 (forall (@list @t39 @t8 @t74 @t109 @t60 @t45) (=> @t4015 (=> @t4016 @t4019)))) % 6.62/6.88 (assume @p3006 (forall (@list @t125 @t39 @t57 @t13 @t82 @t142 @t8) (=> (tptp.hBOOL (tptp.hAPP @t145 @t4022)) (tptp.hBOOL (tptp.hAPP @t145 (tptp.hAPP @t4021 @t4020)))))) % 6.62/6.88 (assume @p3007 (forall (@list @t39 @t8 @t57 @t13 @t2) (=> @t4024 @t4023))) % 6.62/6.88 (assume @p3008 (forall (@list @t39 @t8 @t57 @t13 @t169) (=> (tptp.hBOOL @t4025) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3878 @t169) @t3939))))) % 6.62/6.88 (assume @p3009 (forall @t3916 (not @t3915))) % 6.62/6.88 (assume @p3010 (forall (@list @t82 @t57 @t13 @t200 @t125 @t39 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4026 @t200) @t3939) @t82)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t200 @t13) @t57) @t82))))) % 6.62/6.88 (assume @p3011 (forall @t1333 (tptp.c_Fun_Oinj__on @t1065 @t3428 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t39 @t3428) @t4027) @t45))) % 6.62/6.88 (assume @p3012 (forall (@list @t45 @t39 @t8 @t109 @t60 @t74) (=> @t4016 @t4014))) % 6.62/6.88 (assume @p3013 (forall (@list @t74 @t39 @t8 @t109 @t60 @t45) (=> @t4015 @t4014))) % 6.62/6.88 (assume @p3014 (forall (@list @t179 @t39 @t8 @t109 @t60 @t180) (=> @t4030 (=> @t4029 @t4028)))) % 6.62/6.88 (assume @p3015 (forall (@list @t109 @t60 @t179 @t180 @t39 @t8) (=> @t4029 (=> @t4030 @t4028)))) % 6.62/6.88 (assume @p3016 (forall @t4018 (=> @t4019 @t4016))) % 6.62/6.88 (assume @p3017 (forall @t4018 (=> @t4019 @t4015))) % 6.62/6.88 (assume @p3018 (forall (@list @t2530 @t2653 @t407 @t403 @t3489 @t372) (=> (= @t4032 (tptp.hAPP (tptp.hAPP @t4031 @t2653) @t2530)) (not (=> (= @t403 @t2653) (not (= @t407 @t2530))))))) % 6.62/6.88 (assume @p3019 (forall @t4038 (= (= @t3939 @t4037) @t4036))) % 6.62/6.88 (assume @p3020 (forall (@list @t39 @t8 @t180) (= @t2804 (forall @t4040 (tptp.hBOOL (tptp.hAPP @t180 @t4039)))))) % 6.62/6.88 (assume @p3021 (forall (@list @t82 @t125 @t39 @t8 @t2747 @t2488) (=> (= @t2488 @t2747) (= (tptp.hAPP @t4041 @t2488) (tptp.hAPP @t4041 @t2747))))) % 6.62/6.88 (assume @p3022 (forall (@list @t2488 @t1 @t4044 @t4045 @t2 @t8 @t125 @t39) (= (tptp.hAPP @t4043 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4045 @t4044 @t3948) @t1) @t2488)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4045 @t4044 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t4044 @t3948) (tptp.tc_fun @t4044 @t8) @t4045) (tptp.hAPP (tptp.c_COMBB @t3948 @t8 @t4044) @t4043)) @t1)) @t2488)))) % 6.62/6.88 (assume @p3023 (forall @t4046 (= (tptp.hAPP @t4043 @t4020) @t4000))) % 6.62/6.88 (assume @p3024 (forall @t4047 (= (tptp.hAPP (tptp.hAPP @t4042 @t169) @t4020) @t4025))) % 6.62/6.88 (assume @p3025 (forall @t4048 (=> @t4023 @t4024))) % 6.62/6.88 (assume @p3026 (forall @t4049 (= (tptp.hAPP @t3998 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3906 @t3335 @t8) (tptp.hAPP (tptp.c_COMBB @t1065 @t125 @t39) @t2)) @t3899)) @t2))) % 6.62/6.88 (assume @p3027 (forall @t3916 (= (tptp.c_HOL_OThe @t1065 @t4050) @t3901))) % 6.62/6.88 (assume @p3028 (forall @t4053 (= (tptp.c_HOL_OThe @t1065 @t180) (tptp.c_HOL_OThe @t1065 @t4052)))) % 6.62/6.88 (assume @p3029 (forall (@list @t57) (= @t4013 (tptp.hAPP @t4060 (tptp.hAPP (tptp.hAPP @t4059 (tptp.hAPP @t4058 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4001 @t4057 tptp.tc_Int_Oint) (tptp.hAPP @t4012 (tptp.hAPP @t4011 (tptp.hAPP (tptp.hAPP @t3887 @t2323) @t4054)))) (tptp.hAPP (tptp.hAPP @t4056 (tptp.hAPP @t4055 (tptp.hAPP @t4002 (tptp.hAPP (tptp.hAPP @t2557 (tptp.hAPP @t3886 @t3768)) @t2270)))) @t4054)))) (tptp.hAPP @t4002 @t3768)))))) % 6.62/6.88 (assume @p3030 (forall (@list @t109 @t60 @t200 @t39 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t8 @t39 @t200) @t60) @t109)) (tptp.hBOOL (tptp.hAPP @t3903 @t200))))) % 6.62/6.88 (assume @p3031 (forall @t1240 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t1211 @t793) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t4062) @t4061)))) % 6.62/6.88 (assume @p3032 (forall @t2422 (=> @t4069 (and (=> @t4067 (= @t4065 (tptp.hAPP @t4068 @t4066))) (=> (not @t4067) (= @t4065 (tptp.hAPP @t4064 (tptp.c_Divides_OnegDivAlg @t2270 @t4063)))))))) % 6.62/6.88 (assume @p3033 (forall @t2600 (=> @t2610 (=> @t2608 (tptp.hBOOL (tptp.hAPP @t3891 @t4070)))))) % 6.62/6.88 (assume @p3034 (forall @t3131 (=> @t2932 (=> (tptp.hBOOL (tptp.hAPP @t2274 @t1208)) (= (tptp.c_Divides_OnegDivAlg @t1216 @t1208) @t4071))))) % 6.62/6.88 (assume @p3035 (forall @t2594 (= (tptp.c_Divides_OnegDivAlg @t3862 @t407) (tptp.hAPP @t4068 @t3867)))) % 6.62/6.88 (assume @p3036 (forall @t2600 (and (=> @t4076 @t4077) (=> (not @t4076) @t4073)))) % 6.62/6.88 (assume @p3037 (forall @t3126 (=> @t2608 (and (=> @t4075 @t4077) (=> (not @t4075) @t4073))))) % 6.62/6.88 (assume @p3038 (forall @t3593 (=> @t4083 (and (=> @t4082 (= @t4080 (tptp.hAPP @t4068 @t4081))) (=> (not @t4082) (= @t4080 (tptp.hAPP @t4079 (tptp.c_Divides_OnegDivAlg @t3591 @t4078)))))))) % 6.62/6.88 (assume @p3039 (forall @t3404 (= (tptp.c_Nitpick_Orefl_H @t8 @t725) (forall @t7 @t4087)))) % 6.62/6.88 (assume @p3040 (forall @t2422 (=> @t4069 (and (=> @t4089 (= @t4088 @t4006)) (=> (not @t4089) (= @t4088 (tptp.hAPP @t4064 (tptp.c_Divides_OposDivAlg @t2270 @t4063)))))))) % 6.62/6.88 (assume @p3041 (forall @t2600 (and (=> @t4092 @t4093) (=> (not @t4092) @t4091)))) % 6.62/6.88 (assume @p3042 (forall @t2594 (= (tptp.c_Divides_OposDivAlg @t2273 @t407) @t3947))) % 6.62/6.88 (assume @p3043 (forall @t2600 (=> @t2644 (=> @t2608 (tptp.hBOOL (tptp.hAPP @t3891 @t4090)))))) % 6.62/6.88 (assume @p3044 (forall @t3131 (=> (tptp.hBOOL (tptp.hAPP @t2323 @t1216)) (=> @t2694 (= (tptp.c_Divides_OposDivAlg @t1216 @t1208) @t4071))))) % 6.62/6.88 (assume @p3045 (forall @t3593 (=> @t4083 (and (=> @t4096 (= @t4094 (tptp.hAPP @t3946 @t3591))) (=> (not @t4096) (= @t4094 (tptp.hAPP @t4079 (tptp.c_Divides_OposDivAlg @t3591 @t4078)))))))) % 6.62/6.88 (assume @p3046 (forall @t3126 (=> @t2608 (and (=> @t2649 @t4093) (=> (not @t2649) @t4091))))) % 6.62/6.88 (assume @p3047 (forall @t2600 (and (=> @t2644 (and (=> @t4099 (= @t3890 @t4090)) (=> (not @t4099) (and (=> @t2620 (= @t3890 @t3947)) (=> @t2621 (= @t3890 @t4098)))))) (=> (not @t2644) (and (=> @t2608 (= @t3890 @t4070)) (=> @t3995 (= @t3890 @t4097))))))) % 6.62/6.88 (assume @p3048 (forall @t1240 (=> @t2027 (=> @t1252 (= @t4101 (tptp.hAPP (tptp.hAPP @t4100 @t2735) @t3172)))))) % 6.62/6.88 (assume @p3049 (forall @t2434 (and @t4110 (=> @t3853 (and @t4109 (=> @t4108 (= @t4106 (tptp.hAPP @t4105 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4009 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t2274 @t1455)) @t3006)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t2268 @t1455) @t2273)) @t2674))) @t4102) @t4103))))))))) % 6.62/6.88 (assume @p3050 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t2266))) % 6.62/6.88 (assume @p3051 (forall (@list @t109 @t60 @t2 @t8 @t39 @t125) (= (tptp.hAPP @t4113 @t4112) (tptp.hAPP @t3900 @t489)))) % 6.62/6.88 (assume @p3052 (forall @t1321 (= (tptp.c_Divides_Odivmod__nat @t793 @t1975) @t4115))) % 6.62/6.88 (assume @p3053 (forall @t1227 (=> @t1214 (= @t4101 @t4115)))) % 6.62/6.88 (assume @p3054 (forall (@list @t2120 @t1471) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t3894) (tptp.hAPP @t3893 (tptp.hAPP @t2266 @t2120))))) % 6.62/6.88 (assume @p3055 (forall @t1227 (= @t4101 @t4116))) % 6.62/6.88 (assume @p3056 (forall (@list @t4117 @t407 @t403) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2598 @t2597) @t4117)) (tptp.hBOOL (tptp.hAPP @t3891 (tptp.hAPP tptp.c_Divides_OnegateSnd @t4117)))))) % 6.62/6.88 (assume @p3057 (forall @t1878 (and (=> @t4121 (= @t4120 (tptp.hAPP @t4114 @t307))) (=> (not @t4121) (= @t4120 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4118) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4119 tptp.tc_Nat_Onat) @t4100) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t2151 @t1196))))))) % 6.62/6.88 (assume @p3058 (forall @t3131 (= @t4124 (tptp.hAPP (tptp.hAPP @t3892 (tptp.hAPP (tptp.hAPP @t2584 @t4123) @t4122)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t4123 @t4122))))) % 6.62/6.88 (assume @p3059 (forall @t2697 (and (=> @t4125 (= @t4124 (tptp.hAPP @t3946 @t4123))) (=> (not @t4125) (= @t4124 (tptp.c_Divides_OposDivAlg @t4123 @t4122)))))) % 6.62/6.88 (assume @p3060 (forall @t2434 (and @t4110 (=> @t3853 (and @t4109 (=> @t4108 (= @t4106 (tptp.hAPP @t4105 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4009 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1199)) @t4104)) @t4102) @t4103))))))))) % 6.62/6.88 (assume @p3061 (forall (@list @t250 @t215 @t2 @t39 @t725 @t45 @t8) (=> @t3458 (=> @t3569 (=> (= @t3693 (tptp.hAPP (tptp.hAPP @t1557 @t250) @t2)) (=> @t3431 (=> @t3457 (=> (forall @t7 (=> @t130 (forall @t641 (=> @t818 (=> @t4128 @t4127))))) @t3456)))))))) % 6.62/6.88 (assume @p3062 (forall @t3997 (=> (tptp.hBOOL (tptp.hAPP @t4131 @t4130)) (=> @t3186 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t3182 @t404) (tptp.hAPP (tptp.hAPP @t4100 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t3181 @t1471)) (tptp.hAPP (tptp.hAPP @t2709 @t4129) @t404))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4129 @t404)))))))) % 6.62/6.88 (assume @p3063 (forall @t3896 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t403 @t407) @t4130)) (=> (tptp.hBOOL (tptp.hAPP @t1978 @t407)) (=> @t3186 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t403 @t2713) (tptp.hAPP (tptp.hAPP @t4100 (tptp.hAPP (tptp.hAPP @t2709 @t1471) @t404)) @t3185)))))))) % 6.62/6.88 (assume @p3064 (forall (@list @t4132 @t4117 @t1211 @t793) (=> @t4134 (=> (tptp.hBOOL (tptp.hAPP @t4133 @t4132)) (= @t4117 @t4132))))) % 6.62/6.88 (assume @p3065 (forall @t1227 (tptp.hBOOL (tptp.hAPP @t4133 @t4101)))) % 6.62/6.88 (assume @p3066 (forall (@list @t4117 @t1211 @t793) (=> @t4134 (= @t4101 @t4117)))) % 6.62/6.88 (assume @p3067 (forall @t1251 (= @t4120 (tptp.c_HOL_OThe @t4118 @t4135)))) % 6.62/6.88 (assume @p3068 (forall @t4137 (=> @t4136 (= @t3166 @t2120)))) % 6.62/6.88 (assume @p3069 (forall @t4137 (=> @t4136 (= @t2715 @t1471)))) % 6.62/6.88 (assume @p3070 (forall @t1227 (tptp.hBOOL (tptp.hAPP @t4133 @t4116)))) % 6.62/6.88 (assume @p3071 (forall @t3990 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t403 @t404) (tptp.hAPP (tptp.hAPP @t4100 @t3987) @t3984))) (=> (tptp.hBOOL (tptp.hAPP @t4131 (tptp.hAPP (tptp.hAPP @t4100 @t3986) @t3983))) (=> @t3186 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t3180 @t404) (tptp.hAPP (tptp.hAPP @t4100 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1223 @t3987) @t3986)) (tptp.hAPP (tptp.hAPP @t2709 @t4138) @t404))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4138 @t404))))))))) % 6.62/6.88 (assume @p3072 (forall @t2641 (=> (tptp.hBOOL (tptp.hAPP @t4145 @t4144)) (and (=> @t4143 (= @t4140 (tptp.hAPP @t4068 @t4142))) (=> (not @t4143) (= @t4140 (tptp.hAPP @t4013 (tptp.c_Divides_OnegDivAlg @t13 @t4139)))))))) % 6.62/6.88 (assume @p3073 (forall @t2641 (=> (tptp.hBOOL (tptp.hAPP @t4148 @t4144)) (and (=> @t4147 (= @t4146 (tptp.hAPP @t3946 @t13))) (=> (not @t4147) (= @t4146 (tptp.hAPP @t4013 (tptp.c_Divides_OposDivAlg @t13 @t4139)))))))) % 6.62/6.88 (assume @p3074 (forall @t2422 (=> @t4152 (= @t4151 (tptp.hAPP @t4150 @t4149))))) % 6.62/6.88 (assume @p3075 (forall (@list @t1 @t60 @t2 @t8 @t39 @t125) (= (= @t4154 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t125 @t39 @t8 @t1) @t60)) (= (tptp.hAPP @t2 @t4153) (tptp.hAPP @t1 @t4153))))) % 6.62/6.88 (assume @p3076 (forall @t4158 (= (tptp.hAPP @t4157 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t125 @t8 @t39 @t2) @t60)) (tptp.hAPP @t2 @t4156)))) % 6.62/6.88 (assume @p3077 (forall (@list @t2488 @t8 @t39) (= @t4159 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t39 @t8 @t8) (tptp.hAPP (tptp.c_COMBK @t473 @t39) @t251)) @t2488)))) % 6.62/6.88 (assume @p3078 (forall (@list @t407 @t403 @t372 @t3489) (= (tptp.hAPP @t4161 (tptp.hAPP (tptp.hAPP @t4160 @t403) @t407)) @t407))) % 6.62/6.88 (assume @p3079 (forall (@list @t403 @t381 @t371 @t372 @t3489) (=> (= (tptp.hAPP @t4161 (tptp.hAPP (tptp.hAPP @t4160 @t371) @t381)) @t403) (= @t381 @t403)))) % 6.62/6.88 (assume @p3080 (forall @t2600 (= @t3121 (tptp.hAPP @t4150 @t3890)))) % 6.62/6.88 (assume @p3081 (forall @t2600 (=> @t2610 (=> @t2608 (= @t3121 (tptp.hAPP @t4150 @t4070)))))) % 6.62/6.88 (assume @p3082 (forall @t2600 (=> @t2526 (=> @t4099 (= @t3121 (tptp.hAPP @t4150 @t4090)))))) % 6.62/6.88 (assume @p3083 (forall @t2422 (=> @t3773 (= @t4151 (tptp.hAPP @t4150 @t4088))))) % 6.62/6.88 (assume @p3084 (forall @t2600 (=> @t2526 (=> @t2647 (= @t3121 (tptp.hAPP @t4150 @t4098)))))) % 6.62/6.88 (assume @p3085 (forall @t2600 (=> @t2610 (=> @t4074 (= @t3121 (tptp.hAPP @t4150 @t4097)))))) % 6.62/6.88 (assume @p3086 (forall @t2641 (=> (tptp.hBOOL (tptp.hAPP @t4162 @t4144)) @t4007))) % 6.62/6.88 (assume @p3087 (forall @t4171 (=> (tptp.hBOOL (tptp.hAPP @t4145 @t4170)) (=> (forall @t4040 (=> (tptp.hBOOL (tptp.hAPP @t4145 @t4169)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t2323 (tptp.hAPP (tptp.hAPP @t2303 @t287) @t2207))) @t4168)) @t4167) @t4166))) @t4164)))) % 6.62/6.88 (assume @p3088 (forall @t4171 (=> (tptp.hBOOL (tptp.hAPP @t4148 @t4170)) (=> (forall @t4040 (=> (tptp.hBOOL (tptp.hAPP @t4148 @t4169)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t287) @t2207)) @t4168)) @t4167) @t4166))) @t4164)))) % 6.62/6.88 (assume @p3089 (forall @t1227 (= @t3166 (tptp.hAPP @t4172 @t4101)))) % 6.62/6.88 (assume @p3090 (forall @t4176 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4175 @t4173) @t4174)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.c_Wellfounded_Oaccp @t8 @t4174)) (tptp.c_Wellfounded_Oaccp @t8 @t4173)))))) % 6.62/6.88 (assume @p3091 (forall @t3404 (= (tptp.c_Relation_Oirrefl @t8 @t725) @t4177))) % 6.62/6.88 (assume @p3092 (forall @t4171 (=> (tptp.hBOOL (tptp.hAPP @t4162 @t4170)) (=> (forall @t4040 (=> (tptp.hBOOL (tptp.hAPP @t4162 @t4169)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2207) @t2273)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 (tptp.hAPP @t2266 @t287)) (tptp.hAPP @t2266 @t2207)))) @t4166))) @t4164)))) % 6.62/6.88 (assume @p3093 (forall @t4181 (= @t4180 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4179 @t13)) (tptp.hBOOL (tptp.hAPP @t4178 @t3))))))) % 6.62/6.88 (assume @p3094 (forall (@list @t13 @t57 @t725 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4178 @t57)) (=> @t4182 @t4180)))) % 6.62/6.88 (assume @p3095 (forall @t2385 (=> (tptp.hBOOL (tptp.hAPP @t4186 @t4185)) (and (=> @t4184 (= @t4183 @t60)) (=> (not @t4184) (= @t4183 (tptp.c_Nitpick_Onat__gcd @t109 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t60 @t109)))))))) % 6.62/6.88 (assume @p3096 (forall @t4189 (= (tptp.c_Nat_Onat_Onat__size @t4188) (tptp.hAPP (tptp.hAPP @t1223 (tptp.c_Nat_Onat_Onat__size @t4187)) @t1976)))) % 6.62/6.88 (assume @p3097 (forall (@list @t2 @t109 @t60 @t8) (= (tptp.hBOOL (tptp.hAPP @t3974 @t4192)) @t4190))) % 6.62/6.88 (assume @p3098 (= (tptp.c_Nat_Onat_Onat__size @t1975) @t1975)) % 6.62/6.88 (assume @p3099 (forall @t2422 (=> @t4152 (= @t4194 (tptp.hAPP @t4193 @t4149))))) % 6.62/6.88 (assume @p3100 (forall @t2439 (= @t2796 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4118 @t1443) @t4198) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1443) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t1443 @t4197) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4196 (tptp.tc_fun @t1443 @t4197) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t1443 @t1443)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2962 @t4196 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4195 tptp.tc_Nat_Onat) @t2228)) @t467))) @t2227))))))) % 6.62/6.88 (assume @p3101 (forall @t4171 (=> (tptp.hBOOL (tptp.hAPP @t4186 (tptp.hAPP (tptp.hAPP @t4100 @t4163) @t193))) (=> (forall @t210 (=> (tptp.hBOOL (tptp.hAPP @t4186 @t4199)) (=> (=> (not (= @t206 @t1975)) (tptp.hBOOL (tptp.hAPP @t3384 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3 @t206)))) (tptp.hBOOL (tptp.hAPP @t1079 @t206))))) @t4164)))) % 6.62/6.88 (assume @p3102 (forall @t4201 (= (tptp.hAPP @t4200 @t4154) (tptp.hAPP (tptp.c_Product__Type_Ofst @t8 @t125) @t60)))) % 6.62/6.88 (assume @p3103 (forall (@list @t2488 @t39 @t8) (= @t4202 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t39 @t8) @t1332) @t2488)))) % 6.62/6.88 (assume @p3104 (forall @t2385 (= (= @t4203 (tptp.hAPP tptp.c_Int_ORep__Integ @t109)) @t112))) % 6.62/6.88 (assume @p3105 (forall @t4205 (= (tptp.hAPP @t4204 @t4032) @t403))) % 6.62/6.88 (assume @p3106 (forall (@list @t403 @t381 @t371 @t3489 @t372) (=> (= (tptp.hAPP @t4204 @t4206) @t403) (= @t371 @t403)))) % 6.62/6.88 (assume @p3107 (forall (@list @t39 @t8 @t29 @t2757) (= (= @t2757 @t29) (and (= (tptp.hAPP @t4200 @t2757) (tptp.hAPP @t4200 @t29)) (= (tptp.hAPP @t4207 @t2757) (tptp.hAPP @t4207 @t29)))))) % 6.62/6.88 (assume @p3108 (forall (@list @t1471 @t1477 @t3489 @t372) (=> (= @t4210 (tptp.hAPP @t4204 @t1471)) (=> (= @t4209 (tptp.hAPP @t4208 @t1471)) (= @t1477 @t1471))))) % 6.62/6.88 (assume @p3109 (forall (@list @t3489 @t372 @t1377) (= @t1377 (tptp.hAPP (tptp.hAPP @t4031 (tptp.hAPP @t4204 @t1377)) (tptp.hAPP @t4208 @t1377))))) % 6.62/6.88 (assume @p3110 (forall (@list @t1477 @t3489 @t372) (= (tptp.hAPP (tptp.hAPP @t4031 @t4210) @t4209) @t1477))) % 6.62/6.88 (assume @p3111 (forall (@list @t2488 @t2 @t8 @t125 @t39) (= (tptp.hAPP @t4043 @t2488) (tptp.hAPP (tptp.hAPP @t2 @t4213) @t4211)))) % 6.62/6.88 (assume @p3112 (forall @t2600 (= @t2596 (tptp.hAPP @t4193 @t3890)))) % 6.62/6.88 (assume @p3113 (forall (@list @t1 @t2 @t4045 @t125 @t39 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t1065 @t39 @t125) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4045 @t3335 @t1065) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t4045 @t1065) @t1) @t4200))) @t4207) (tptp.hAPP @t3998 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4045 @t3335 @t8) @t2) @t1))))) % 6.62/6.88 (assume @p3114 (forall (@list @t142 @t180 @t8 @t125 @t39) (= (tptp.hAPP (tptp.hAPP @t4042 @t180) @t142) (tptp.hAPP (tptp.hAPP @t180 (tptp.hAPP @t4212 @t142)) (tptp.hAPP @t4155 @t142))))) % 6.62/6.88 (assume @p3115 (forall (@list @t2488 @t82 @t8 @t125 @t39) (= (tptp.hAPP (tptp.hAPP @t4042 @t82) @t2488) (tptp.hAPP (tptp.hAPP @t82 @t4213) @t4211)))) % 6.62/6.88 (assume @p3116 (forall @t4053 (= (tptp.c_HOL_OThe @t1065 @t4215) (tptp.c_HOL_OThe @t1065 @t4214)))) % 6.62/6.88 (assume @p3117 (forall @t2600 (=> @t2610 (=> @t2608 (= @t2596 (tptp.hAPP @t4193 @t4070)))))) % 6.62/6.88 (assume @p3118 (forall @t2600 (=> @t2526 (=> @t4099 (= @t2596 (tptp.hAPP @t4193 @t4090)))))) % 6.62/6.88 (assume @p3119 (forall @t2422 (=> @t3773 (= @t4194 (tptp.hAPP @t4193 @t4088))))) % 6.62/6.88 (assume @p3120 (forall @t2600 (=> @t2526 (=> @t2647 (= @t2596 (tptp.hAPP @t4193 @t4098)))))) % 6.62/6.88 (assume @p3121 (forall @t2600 (=> @t2610 (=> @t4074 (= @t2596 (tptp.hAPP @t4193 @t4097)))))) % 6.62/6.88 (assume @p3122 (forall (@list @t2488 @t1 @t2 @t39 @t8) (= (tptp.c_Product__Type_Oprod_Oprod__size @t8 @t39 @t2 @t1 @t2488) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t2 @t4202)) (tptp.hAPP @t1 (tptp.hAPP @t4207 @t2488)))) @t1976)))) % 6.62/6.88 (assume @p3123 (forall (@list @t8 @t39 @t60 @t109 @t180) (=> (tptp.hBOOL (tptp.hAPP @t4219 @t60)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 (tptp.hAPP @t4157 @t4217)) (tptp.hAPP @t4218 @t4217)))))) % 6.62/6.88 (assume @p3124 (forall (@list @t39 @t8 @t2747 @t179 @t2488 @t180) (=> (tptp.hBOOL (tptp.hAPP @t180 @t2488)) (=> (tptp.hBOOL (tptp.hAPP @t179 @t2747)) (and (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t4200 @t4220))) (tptp.hBOOL (tptp.hAPP @t179 (tptp.hAPP @t4207 @t4220)))))))) % 6.62/6.88 (assume @p3125 (forall @t1227 (= @t2715 (tptp.hAPP @t4221 @t4101)))) % 6.62/6.88 (assume @p3126 (forall (@list @t4222 @t1196 @t307) (= (tptp.hBOOL (tptp.hAPP @t4135 @t4222)) (and (= @t307 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1302 @t4224) @t1196)) @t4223)) (=> @t1987 (= @t4224 @t1975)) (=> @t1988 (and (=> @t2026 (and (tptp.hBOOL (tptp.hAPP @t1977 @t4223)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t4223) @t1196)))) (=> (not @t2026) (and (tptp.hBOOL (tptp.hAPP @t1371 @t4223)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t4223) @t1975)))))))))) % 6.62/6.88 (assume @p3127 (forall (@list @t2 @t725 @t8 @t39) (= @t4233 (tptp.hAPP @t4231 (tptp.hAPP @t4230 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4227 @t52) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4229 (tptp.tc_fun @t4227 @t52) @t8) (tptp.c_COMBC @t8 @t4227 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4226 @t4229 @t8) (tptp.hAPP (tptp.c_COMBB @t3929 @t4228 @t8) @t3930)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t388 @t4226) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4225 (tptp.tc_fun @t388 @t4226) @t8) (tptp.c_COMBB @t39 @t3929 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t39 @t4225 @t8) @t3928) @t2))) @t2)))) @t725)))))) % 6.62/6.88 (assume @p3128 (forall @t4238 (=> @t4237 (=> @t4236 @t4235)))) % 6.62/6.88 (assume @p3129 (forall @t4241 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t4240) (tptp.hAPP (tptp.hAPP @t1223 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t4239)) @t1976)))) % 6.62/6.88 (assume @p3130 (forall (@list @t4242 @t4243) (= (= @t4244 (tptp.c_Code__Numeral_OSuc__code__numeral @t4242)) (= @t4243 @t4242)))) % 6.62/6.88 (assume @p3131 (forall (@list @t4245) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t4245) @t3843)))) % 6.62/6.88 (assume @p3132 (forall (@list @t4246) (not (= @t3843 (tptp.c_Code__Numeral_OSuc__code__numeral @t4246))))) % 6.62/6.88 (assume @p3133 (forall (@list @t2 @t725 @t39 @t109 @t60 @t8) (= (tptp.hBOOL (tptp.hAPP @t3974 @t4233)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 (tptp.hAPP (tptp.hAPP @t3928 @t64) @t489)) @t725))))) % 6.62/6.88 (assume @p3134 (forall @t1237 (= (tptp.hAPP (tptp.hAPP @t3858 (tptp.c_Code__Numeral_OSuc__code__numeral @t1211)) @t3857) @t1211))) % 6.62/6.88 (assume @p3135 (forall @t4238 (=> @t4190 @t4235))) % 6.62/6.88 (assume @p3136 (forall @t4241 (= (tptp.hAPP @t4247 @t4240) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t4247 @t4239)) @t1976)))) % 6.62/6.88 (assume @p3137 (forall @t1064 (= @t4257 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3401 @t3401 @t4253) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3401 @t4256 @t4255) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4254 (tptp.tc_fun @t4256 @t4255) @t3401) (tptp.c_COMBB @t4252 @t4253 @t3401)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4251 @t4254 @t3401) (tptp.c_COMBS @t167 @t4227 @t4249)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4252 @t4251 @t3401) (tptp.hAPP (tptp.c_COMBB @t4227 @t4250 @t167) (tptp.c_Product__Type_OPair @t4227 @t4227))) @t4248)))) @t4248))))) % 6.62/6.88 (assume @p3138 (forall @t54 (= @t4259 (tptp.hAPP (tptp.c_Set_OCollect @t4258) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t52 @t52 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t3376 (tptp.hAPP @t3375 (tptp.hAPP @t3372 @t653))) @t42)))))) % 6.62/6.88 (assume @p3139 (= (tptp.hAPP @t4247 @t3843) @t1975)) % 6.62/6.88 (assume @p3140 (forall @t258 (= (tptp.hBOOL (tptp.hAPP @t4262 @t4259)) (and @t655 @t260)))) % 6.62/6.88 (assume @p3141 (forall @t4189 (= (tptp.hAPP @t4263 @t4188) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t4263 @t4187)) @t1976)))) % 6.62/6.88 (assume @p3142 (forall @t4047 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t39 @t125 @t8 @t169 @t4020) @t4025))) % 6.62/6.88 (assume @p3143 (forall (@list @t2757 @t725 @t4033 @t4034 @t57 @t13 @t39 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4265 (tptp.hAPP (tptp.hAPP @t4264 @t3939) @t4037)) (tptp.c_Wellfounded_Olex__prod @t8 @t39 @t725 @t2757))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t3968 @t4034)) @t725)) (and @t4035 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 (tptp.hAPP (tptp.hAPP @t3928 @t57) @t4033)) @t2757))))))) % 6.62/6.88 (assume @p3144 (forall @t1237 (= (tptp.hAPP @t4263 @t1211) @t1211))) % 6.62/6.88 (assume @p3145 (= (tptp.hAPP @t4263 @t1975) @t1975)) % 6.62/6.88 (assume @p3146 (forall (@list @t8 @t200 @t109 @t4267 @t39 @t60 @t180) (=> @t422 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 (tptp.hAPP (tptp.hAPP @t3928 @t4267) @t109)) @t4268)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4265 (tptp.hAPP (tptp.hAPP @t4264 (tptp.hAPP @t3900 @t4267)) @t3901)) @t4266)))))) % 6.62/6.88 (assume @p3147 (forall @t118 (= (tptp.c_Equiv__Relations_Oequiv @t8 @t1021 @t45) (tptp.c_Equiv__Relations_Oequivp @t8 (tptp.hAPP @t4274 @t45))))) % 6.62/6.88 (assume @p3148 (forall @t4277 (= (tptp.hAPP @t4113 (tptp.hAPP @t4276 @t60)) (tptp.hAPP (tptp.hAPP @t3899 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t4045 @t125) @t60))) (tptp.hAPP @t2 (tptp.hAPP @t4275 @t60)))))) % 6.62/6.88 (assume @p3149 (forall (@list @t109 @t60 @t2 @t39 @t8 @t125) (= (tptp.hAPP @t4279 (tptp.hAPP (tptp.hAPP @t4278 @t60) @t109)) (tptp.hAPP (tptp.hAPP @t3899 @t64) @t109)))) % 6.62/6.88 (assume @p3150 (forall (@list @t1 @t60 @t2 @t39 @t8 @t125) (= (= @t4282 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t125 @t8 @t39 @t1) @t60)) (= @t4281 (tptp.hAPP @t1 @t4280))))) % 6.62/6.88 (assume @p3151 (forall @t4201 (= (tptp.hAPP @t4200 @t4282) @t4281))) % 6.62/6.88 (assume @p3152 (forall @t4158 (= (tptp.hAPP @t4157 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t125 @t39 @t8 @t2) @t60)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t125 @t8) @t60)))) % 6.62/6.88 (assume @p3153 (forall @t54 (tptp.c_Equiv__Relations_Oequivp @t8 tptp.c_fequal))) % 6.62/6.88 (assume @p3154 (forall @t4288 (= @t4287 (forall @t210 (= @t4286 @t4285))))) % 6.62/6.88 (assume @p3155 (forall @t4290 (=> @t4287 @t4289))) % 6.62/6.88 (assume @p3156 (forall @t4294 (=> @t4287 @t4293))) % 6.62/6.88 (assume @p3157 (forall @t4296 (=> @t4287 @t4295))) % 6.62/6.88 (assume @p3158 (forall (@list @t2488 @t1 @t4045 @t2 @t8 @t39 @t125) (= (tptp.hAPP @t4113 (tptp.hAPP @t4276 @t2488)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t4045 @t8 @t39 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t125 @t39 @t4045 @t2) @t2488))))) % 6.62/6.88 (assume @p3159 (forall @t4301 (= (tptp.hAPP @t4279 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t4045 @t39 @t125 @t1) @t60)) (tptp.hAPP (tptp.hAPP @t3899 @t4300) @t4298)))) % 6.62/6.88 (assume @p3160 (forall @t4308 (=> @t4307 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t2757) @t29)) @t4306)))) % 6.62/6.88 (assume @p3161 (forall @t3937 (=> @t3936 (not (forall @t7 (=> @t3934 (not @t144))))))) % 6.62/6.88 (assume @p3162 (forall (@list @t200 @t2 @t8) (= @t4234 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4309 @t8) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t8 tptp.c_Wellfounded_Oless__than @t200)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t8 @t4309) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t8 @t4309) @t8) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t8)) @t2)) @t251))))) % 6.62/6.88 (assume @p3163 (= tptp.c_FunDef_Opair__less (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than tptp.c_Wellfounded_Oless__than))) % 6.62/6.88 (assume @p3164 (forall @t54 (= @t4191 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t8) tptp.c_Wellfounded_Oless__than)))) % 6.62/6.88 (assume @p3165 (forall @t2385 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4310 @t4185) tptp.c_Wellfounded_Oless__than)) @t1516))) % 6.62/6.88 (assume @p3166 (forall @t4308 (=> @t2179 @t4306))) % 6.62/6.88 (assume @p3167 (forall @t4308 (=> @t4307 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t2757) @t29)) @t4311)))) % 6.62/6.88 (assume @p3168 (forall @t4326 (=> @t4325 (=> @t4324 (=> (tptp.hBOOL (tptp.hAPP @t4322 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t4321 tptp.c_FunDef_Omin__strict))))))) % 6.62/6.88 (assume @p3169 (forall (@list @t215 @t60 @t250 @t109) (=> (tptp.hBOOL (tptp.hAPP @t4329 @t250)) (=> @t4324 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4320 (tptp.hAPP @t4328 @t250)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4320 (tptp.hAPP (tptp.hAPP @t4317 (tptp.hAPP @t4327 @t215)) @t250)) tptp.c_FunDef_Omax__strict))))))) % 6.62/6.88 (assume @p3170 (forall @t4332 (=> (not (= @t215 @t4330)) (tptp.hBOOL (tptp.hAPP @t4331 tptp.c_FunDef_Omin__strict))))) % 6.62/6.88 (assume @p3171 (forall (@list @t250) (=> (tptp.hBOOL (tptp.hAPP @t4334 @t250)) (=> (not (= @t250 @t4330)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4320 (tptp.hAPP @t4333 @t250)) tptp.c_FunDef_Omax__strict)))))) % 6.62/6.88 (assume @p3172 (forall @t4308 (=> @t2179 @t4311))) % 6.62/6.88 (assume @p3173 (forall (@list @t4315 @t60 @t4312 @t109) (=> (tptp.hBOOL (tptp.hAPP @t4329 @t4312)) (=> @t4335 (=> (tptp.hBOOL (tptp.hAPP @t4322 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4320 (tptp.hAPP (tptp.hAPP @t4317 (tptp.hAPP @t4327 @t4315)) @t4312)) tptp.c_FunDef_Omax__weak))))))) % 6.62/6.88 (assume @p3174 (forall @t4326 (=> @t4325 (=> @t4335 (=> (tptp.hBOOL (tptp.hAPP @t4322 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t4321 tptp.c_FunDef_Omin__weak))))))) % 6.62/6.88 (assume @p3175 (forall @t4339 (= (tptp.hAPP @t4336 (tptp.hAPP (tptp.hAPP @t4338 @t3969) @t725)) (tptp.hAPP (tptp.hAPP @t1037 @t154) @t4337)))) % 6.62/6.88 (assume @p3176 (forall @t4288 (= (tptp.hAPP @t4336 (tptp.c_Complete__Lattice_OSup__class_OSup @t3401 @t200)) (tptp.c_Complete__Lattice_OSup__class_OSup @t52 (tptp.hAPP (tptp.c_Set_Oimage @t3401 @t52 @t4336) @t200))))) % 6.62/6.88 (assume @p3177 (forall @t54 (= (tptp.hAPP @t4336 @t3440) @t53))) % 6.62/6.88 (assume @p3178 (forall @t4343 (=> @t4342 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t4337) @t4340))))) % 6.62/6.88 (assume @p3179 (forall @t4343 (= (tptp.hAPP @t4336 @t4346) (tptp.hAPP (tptp.hAPP @t1037 @t4337) @t4340)))) % 6.62/6.88 (assume @p3180 (forall @t3404 (=> @t4348 (tptp.hBOOL (tptp.hAPP @t42 @t4337))))) % 6.62/6.88 (assume @p3181 (forall @t4332 (=> (tptp.hBOOL (tptp.hAPP @t4334 @t215)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4320 (tptp.hAPP @t4333 @t215)) tptp.c_FunDef_Omax__weak))))) % 6.62/6.88 (assume @p3182 (forall @t4332 (tptp.hBOOL (tptp.hAPP @t4331 tptp.c_FunDef_Omin__weak)))) % 6.62/6.88 (assume @p3183 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t4351 (tptp.c_Wellfounded_Omin__ext @t4118 tptp.c_FunDef_Opair__leq)) @t4350))) % 6.62/6.88 (assume @p3184 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t4351 (tptp.c_Wellfounded_Omax__ext @t4118 tptp.c_FunDef_Opair__leq)) @t4350))) % 6.62/6.88 (assume @p3185 (forall @t118 (= @t4353 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t3401) @t45) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3401 @t3401) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3400 (tptp.tc_fun @t3401 @t3401) @t8) @t4338) @t4352)) @t3440))))) % 6.62/6.88 (assume @p3186 (forall @t118 (= @t4353 (tptp.hAPP @t4230 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 tptp.tc_HOL_Obool @t52) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3348 (tptp.tc_fun tptp.tc_HOL_Obool @t52) @t8) (tptp.c_COMBC @t8 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t3349 tptp.c_fequal))) @t45))))) % 6.62/6.88 (assume @p3187 (forall @t54 (= (tptp.c_Relation_OId__on @t8 @t53) @t3440))) % 6.62/6.88 (assume @p3188 (forall @t258 (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t4353) @t74) @t1553))) % 6.62/6.88 (assume @p3189 (forall @t108 (=> @t68 (=> @t67 (tptp.hBOOL (tptp.hAPP @t3970 @t4353)))))) % 6.62/6.88 (assume @p3190 (forall @t124 (= (tptp.hBOOL (tptp.hAPP @t3974 @t4353)) (and @t112 @t88)))) % 6.62/6.88 (assume @p3191 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t4118 tptp.c_FunDef_Opair__less))) % 6.62/6.88 (assume @p3192 (forall (@list @t502 @t447 @t200 @t74 @t45 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4262 @t4354)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP @t4260 @t447) @t502)) @t4354)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP @t4260 @t1076) (tptp.hAPP @t1074 @t502))) @t4354)))))) % 6.62/6.88 (assume @p3193 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t4118 tptp.c_FunDef_Opair__less))) % 6.62/6.88 (assume @p3194 (forall (@list @t4355 @t60 @t200 @t8) (= (tptp.c_Wellfounded_Omax__extp @t8 (tptp.hAPP @t4274 @t200) @t60 @t4355) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP @t4260 @t60) @t4355)) @t4354))))) % 6.62/6.88 (assume @p3195 (tptp.c_FunDef_Oreduction__pair @t4316 (tptp.hAPP (tptp.hAPP @t4356 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 6.62/6.88 (assume @p3196 (tptp.c_FunDef_Oreduction__pair @t4316 (tptp.hAPP (tptp.hAPP @t4356 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 6.62/6.88 (assume @p3197 (forall @t3381 (=> @t4357 (tptp.c_FunDef_Oreduction__pair @t39 (tptp.hAPP (tptp.hAPP @t4257 @t180) @t2))))) % 6.62/6.88 (assume @p3198 (forall @t2385 (= (= (tptp.hAPP @t4358 (tptp.hAPP @t4327 @t4330)) (tptp.hAPP @t4358 (tptp.hAPP @t4314 @t4330))) (tptp.hBOOL (tptp.hAPP @t4323 tptp.c_Int_Ointrel))))) % 6.62/6.88 (assume @p3199 (forall @t4363 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4304 (tptp.hAPP (tptp.hAPP @t4302 @t4185) @t4362)) tptp.c_Int_Ointrel)) (= @t4361 @t4359)))) % 6.62/6.88 (assume @p3200 (forall @t829 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 @t82) @t4353)) (not (forall @t7 (=> @t130 (not (= @t82 @t4085)))))))) % 6.62/6.88 (assume @p3201 (tptp.c_Equiv__Relations_Oequiv @t4118 @t4364 tptp.c_Int_Ointrel)) % 6.62/6.88 (assume @p3202 (forall (@list @t1228 @t1229 @t8) (=> @t2280 (= (tptp.hAPP @t2939 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4358 (tptp.hAPP (tptp.hAPP @t4313 (tptp.hAPP (tptp.hAPP @t4100 @t1229) @t1228)) @t4330)))) (tptp.hAPP (tptp.hAPP @t274 (tptp.hAPP @t2250 @t1229)) (tptp.hAPP @t2250 @t1228)))))) % 6.62/6.88 (assume @p3203 (= @t2270 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4358 (tptp.hAPP (tptp.hAPP @t4313 (tptp.hAPP (tptp.hAPP @t4100 @t1193) @t1975)) @t4330))))) % 6.62/6.88 (assume @p3204 (forall @t4363 (= (tptp.hAPP (tptp.hAPP @t2246 @t4368) @t4367) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4358 (tptp.hAPP (tptp.hAPP @t4313 (tptp.hAPP (tptp.hAPP @t4100 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t4366 @t1426)) (tptp.hAPP @t4365 @t640))) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t4366 @t640)) (tptp.hAPP @t4365 @t1426)))) @t4330)))))) % 6.62/6.88 (assume @p3205 (forall @t2952 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t4203) @t60))) % 6.62/6.88 (assume @p3206 (forall @t2385 (= (tptp.hAPP @t2266 @t4368) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4358 (tptp.hAPP (tptp.hAPP @t4313 (tptp.hAPP (tptp.hAPP @t4100 @t109) @t60)) @t4330)))))) % 6.62/6.88 (assume @p3207 (= @t2273 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4358 (tptp.hAPP (tptp.hAPP @t4313 (tptp.hAPP @t4114 @t1975)) @t4330))))) % 6.62/6.88 (assume @p3208 (forall @t2452 (= @t2310 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4358 (tptp.hAPP (tptp.hAPP @t4313 (tptp.hAPP @t4369 @t1975)) @t4330)))))) % 6.62/6.88 (assume @p3209 (forall @t4363 (= (tptp.hAPP (tptp.hAPP @t2303 @t4368) @t4367) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4358 (tptp.hAPP (tptp.hAPP @t4313 (tptp.hAPP (tptp.hAPP @t4100 (tptp.hAPP @t4360 @t1426)) (tptp.hAPP (tptp.hAPP @t1223 @t109) @t640))) @t4330)))))) % 6.62/6.88 (assume @p3210 (forall @t2385 (= (tptp.hAPP tptp.c_Int_Onat @t4368) @t2363))) % 6.62/6.88 (assume @p3211 (forall @t2439 (= (tptp.hAPP @t2266 @t142) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4118 @t4316) @t4198) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4316) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4372 @t4372 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4316 @t4316 tptp.tc_Nat_Onat) @t4358)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4316 @t4372) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4371 (tptp.tc_fun @t4316 @t4372) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t4316 @t4316)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4119 @t4371 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4118 @t4370 tptp.tc_Nat_Onat) @t4313)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4118) @t4100)))) @t4330)))))))) % 6.62/6.88 (assume @p3212 (forall @t4363 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t4368) @t4367)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t4361) @t4359))))) % 6.62/6.88 (assume @p3213 (forall @t4363 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t4368) @t4367)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t4361) @t4359))))) % 6.62/6.88 (assume @p3214 (forall @t2439 (not (forall @t210 (not (= @t142 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4358 (tptp.hAPP (tptp.hAPP @t4313 @t4199) @t4330))))))))) % 6.62/6.88 (assume @p3215 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t4118) @t4364) tptp.c_Int_Ointrel))) % 6.62/6.88 (assume @p3216 (forall @t4374 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t8 @t169 @t3079 @t4244) @t4373))) % 6.62/6.88 (assume @p3217 (forall @t2952 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4375 @t4203) tptp.c_Int_OInteg)))) % 6.62/6.88 (assume @p3218 (forall @t3080 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t8 @t169 @t3079 @t3843) @t169))) % 6.62/6.88 (assume @p3219 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t4316 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 6.62/6.88 (assume @p3220 (forall @t4379 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t8 @t4378) @t60)) @t4377))) % 6.62/6.88 (assume @p3221 (forall (@list @t2757 @t725 @t39 @t125 @t8) (= @t4393 (tptp.hAPP @t3880 (tptp.hAPP @t3878 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1564 @t80 @t8) (tptp.hAPP (tptp.c_COMBB @t438 tptp.tc_HOL_Obool @t39) (tptp.c_HOL_OEx @t125))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1564 @t1564) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4391 (tptp.tc_fun @t1564 @t1564) @t8) (tptp.c_COMBB @t438 @t438 @t39)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4390 @t4391 @t8) (tptp.c_COMBS @t125 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t438 @t4390 @t8) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t218 @t125) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4387 @t438) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4389 (tptp.tc_fun @t4387 @t438) @t8) (tptp.c_COMBC @t125 @t4387 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t125 @t4385) @t4389 @t8) (tptp.hAPP (tptp.c_COMBB @t4385 @t4388 @t125) @t4386)) @t4111))) @t725))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t4382 @t438) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4384 (tptp.tc_fun @t4382 @t438) @t39) (tptp.c_COMBC @t125 @t4382 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t125 @t4380) @t4384 @t39) (tptp.hAPP (tptp.c_COMBB @t4380 @t4383 @t125) @t4381)) (tptp.hAPP (tptp.c_COMBC @t125 @t39 @t4380) @t4278)))) @t2757)))))))) % 6.62/6.88 (assume @p3222 (forall (@list @t2757 @t82 @t125 @t725 @t57 @t13 @t39 @t8) (=> @t3941 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3952 (tptp.hAPP (tptp.hAPP @t3950 @t57) @t82)) @t2757)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4386 (tptp.hAPP (tptp.hAPP @t4111 @t13) @t82)) @t4395)))))) % 6.62/6.88 (assume @p3223 (forall (@list @t725 @t1742 @t4045 @t2757 @t39 @t125 @t8) (= (tptp.hAPP @t4396 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4045 @t4382) @t1742) @t725)) (tptp.hAPP @t4397 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4382 @t1066 @t4045) @t4396) @t725))))) % 6.62/6.88 (assume @p3224 (forall (@list @t2757 @t725 @t1742 @t4045 @t39 @t125 @t8) (= (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4045 @t4387) @t1742) @t725)) @t2757) (tptp.hAPP @t4397 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4045 @t4382 @t1066) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4387 (tptp.tc_fun @t4382 @t1066) @t4045) @t4392) @t725)) @t2757))))) % 6.62/6.88 (assume @p3225 (forall @t4398 (= (tptp.hAPP (tptp.hAPP @t4392 (tptp.c_Orderings_Obot__class_Obot @t4387)) @t200) @t3914))) % 6.62/6.88 (assume @p3226 (forall @t4398 (= (tptp.hAPP @t4399 (tptp.c_Orderings_Obot__class_Obot @t4382)) @t3914))) % 6.62/6.88 (assume @p3227 (forall (@list @t1540 @t199 @t200 @t39 @t125 @t8) (= (tptp.hAPP @t4399 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4382) @t199) @t1540)) (tptp.hAPP (tptp.hAPP @t3898 (tptp.hAPP @t4399 @t199)) (tptp.hAPP @t4399 @t1540))))) % 6.62/6.88 (assume @p3228 (forall (@list @t200 @t1540 @t199 @t39 @t125 @t8) (= (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4387) @t199) @t1540)) @t200) (tptp.hAPP (tptp.hAPP @t3898 (tptp.hAPP (tptp.hAPP @t4392 @t199) @t200)) (tptp.hAPP (tptp.hAPP @t4392 @t1540) @t200))))) % 6.62/6.88 (assume @p3229 (forall (@list @t2757 @t4400 @t125 @t725 @t3424 @t39 @t8) (=> @t3426 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4402 @t4400) @t2757)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4401 (tptp.hAPP (tptp.hAPP @t4394 @t3424) @t4400)) @t4395)))))) % 6.62/6.88 (assume @p3230 (forall (@list @t1540 @t199 @t200 @t4045 @t39 @t125 @t8) (= (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t4045 @t125) @t200) @t199)) @t1540) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t4045 @t39) @t200) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t4045 @t125 @t39) @t199) @t1540))))) % 6.62/6.88 (assume @p3231 (forall @t1125 (=> @t4405 (=> (= (tptp.hAPP (tptp.hAPP @t4403 @t74) @t447) @t3440) (= (tptp.hAPP (tptp.hAPP @t4403 (tptp.hAPP (tptp.hAPP @t4344 @t45) @t74)) @t447) @t3440))))) % 6.62/6.88 (assume @p3232 (forall @t450 (=> (= (tptp.hAPP @t4404 @t74) @t3440) (=> @t4405 (= (tptp.hAPP @t4404 (tptp.hAPP (tptp.hAPP @t4344 @t74) @t447)) @t3440))))) % 6.62/6.88 (assume @p3233 (forall @t4176 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 @t4173) @t4174)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.c_Wellfounded_Oacc @t8 @t4174)) (tptp.c_Wellfounded_Oacc @t8 @t4173)))))) % 6.62/6.88 (assume @p3234 (forall @t4408 (= @t4407 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t4084 @t13)) @t725)) @t4406))))) % 6.62/6.88 (assume @p3235 (forall (@list @t13 @t725 @t57 @t8) (=> @t4409 (=> @t3971 @t4407)))) % 6.62/6.88 (assume @p3236 (forall @t205 (=> @t4416 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4414 (tptp.hAPP (tptp.hAPP @t4413 @t4354) (tptp.hAPP (tptp.hAPP @t4412 (tptp.c_Wellfounded_Omax__ext @t8 @t199)) @t4411))) @t4354))))) % 6.62/6.88 (assume @p3237 (forall @t205 (=> @t4416 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4414 (tptp.hAPP (tptp.hAPP @t4413 @t4417) (tptp.hAPP (tptp.hAPP @t4412 (tptp.c_Wellfounded_Omin__ext @t8 @t199)) @t4411))) @t4417))))) % 6.62/6.88 (assume @p3238 (forall @t4421 (=> @t4420 (= (tptp.hAPP (tptp.c_Set_Oimage @t39 @t8 @t4418) @t45) @t1021)))) % 6.62/6.88 (assume @p3239 (forall @t4421 (=> @t4420 (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t39 @t4419) @t1021) @t45)))) % 6.62/6.88 (assume @p3240 (forall @t4424 (=> @t4420 (=> @t63 (=> @t4423 (= (= (tptp.hAPP @t4418 @t60) @t4422) @t112)))))) % 6.62/6.88 (assume @p3241 (forall @t4424 (=> @t4420 (= (= @t4425 (tptp.hAPP @t4419 @t109)) @t112)))) % 6.62/6.88 (assume @p3242 (forall @t4426 (=> @t4420 (= (tptp.hAPP @t4418 @t4425) @t60)))) % 6.62/6.88 (assume @p3243 (forall @t4426 (=> @t4420 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t4425) @t45))))) % 6.62/6.88 (assume @p3244 (forall (@list @t109 @t45 @t4418 @t4419 @t39 @t8) (=> @t4420 (=> @t4423 (= (tptp.hAPP @t4419 @t4422) @t109))))) % 6.62/6.88 (assume @p3245 (forall (@list @t109 @t60 @t2757 @t725 @t125 @t39 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp @t8 @t39 @t125 @t4427 (tptp.hAPP @t3957 @t2757)) @t60) @t109)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4386 @t4112) @t4395))))) % 6.62/6.88 (assume @p3246 (forall @t205 (=> @t4428 (=> @t4416 (tptp.c_FunDef_Oreduction__pair @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t3401 @t3401) @t200) @t199)))))) % 6.62/6.88 (assume @p3247 (forall (@list @t192 @t193 @t200 @t8) (= (tptp.c_Wellfounded_Omax__extp @t8 @t200 @t193 @t192) (and @t4434 @t4433 @t4432 (forall @t7 (=> @t4431 (exists @t458 (and @t4430 @t4429)))))))) % 6.62/6.88 (assume @p3248 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 6.62/6.88 (assume @p3249 (forall (@list @t125 @t39 @t8 @t82 @t2757 @t57 @t13 @t725) (=> @t4182 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2757 @t57) @t82)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4435 @t13) @t82)))))) % 6.62/6.88 (assume @p3250 (forall @t54 (tptp.c_Wellfounded_Owf @t8 @t3440))) % 6.62/6.88 (assume @p3251 (forall @t4438 (=> @t4437 (tptp.c_Wellfounded_Owf @t39 @t4436)))) % 6.62/6.88 (assume @p3252 (forall (@list @t4439 @t39 @t4440 @t8) (=> (tptp.c_Wellfounded_Owf @t8 @t4440) (=> (tptp.c_Wellfounded_Owf @t39 @t4439) (tptp.c_Wellfounded_Owf @t1065 (tptp.c_Wellfounded_Olex__prod @t8 @t39 @t4440 @t4439)))))) % 6.62/6.88 (assume @p3253 (forall @t1177 (tptp.c_Wellfounded_Owf @t8 @t4192))) % 6.62/6.88 (assume @p3254 (forall @t4288 (= @t4428 (tptp.c_Wellfounded_Owf @t8 @t4441)))) % 6.62/6.88 (assume @p3255 (forall @t4442 (=> @t4437 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 @t2488) @t725)) (tptp.c_Wellfounded_Owf @t8 @t2488))))) % 6.62/6.88 (assume @p3256 (forall @t3404 (=> @t4437 (tptp.c_Wellfounded_Owf @t52 (tptp.c_Wellfounded_Omin__ext @t8 @t725))))) % 6.62/6.88 (assume @p3257 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t4444 (tptp.hAPP @t4443 @t1016)))) % 6.62/6.88 (assume @p3258 (forall @t54 (tptp.c_Wellfounded_Owf @t52 @t4259))) % 6.62/6.88 (assume @p3259 (forall (@list @t558 @t193 @t2757 @t725 @t125 @t39 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4435 @t193) @t558)) (exists @t2210 (and (tptp.hBOOL (tptp.hAPP @t4445 @t2207)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2757 @t2207) @t558))))))) % 6.62/6.88 (assume @p3260 (forall @t4447 (=> @t4437 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP (tptp.hAPP @t4446 @t3424) @t725))))) % 6.62/6.88 (assume @p3261 (forall @t4447 (=> @t4437 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t4448 @t3424))))) % 6.62/6.88 (assume @p3262 (forall (@list @t2 @t200 @t8) (=> @t4428 (tptp.c_Wellfounded_Owf @t8 @t4234)))) % 6.62/6.88 (assume @p3263 (tptp.c_Wellfounded_Owf @t4118 tptp.c_FunDef_Opair__less)) % 6.62/6.88 (assume @p3264 (forall @t3404 (=> @t4437 (tptp.c_Wellfounded_Owf @t52 (tptp.c_Wellfounded_Omax__ext @t8 @t725))))) % 6.62/6.88 (assume @p3265 (forall @t4181 (=> @t4437 (not @t4450)))) % 6.62/6.88 (assume @p3266 (forall (@list @t60 @t13 @t725 @t8) (=> @t4437 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t3968 @t60)) @t725)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t3973 @t13)) @t725))))))) % 6.62/6.88 (assume @p3267 (forall @t3876 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t3877))) % 6.62/6.88 (assume @p3268 (forall @t3876 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t3875))) % 6.62/6.88 (assume @p3269 (forall @t3404 (= @t4437 (forall @t7 @t4406)))) % 6.62/6.88 (assume @p3270 (forall @t4379 (=> @t4437 @t4377))) % 6.62/6.88 (assume @p3271 (forall @t4288 (=> (= @t4441 @t3440) @t4428))) % 6.62/6.88 (assume @p3272 (forall @t205 (= @t4453 (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP (tptp.hAPP @t4344 @t4441) (tptp.hAPP (tptp.hAPP @t4403 @t199) @t200))) @t199))))) % 6.62/6.88 (assume @p3273 (forall @t3404 (= @t4437 (not (exists @t549 (forall @t1033 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 (tptp.hAPP @t546 @t3448)) (tptp.hAPP @t546 @t1029))) @t725)))))))) % 6.62/6.88 (assume @p3274 (forall (@list @t45 @t200 @t8) (=> @t4428 (=> (tptp.hBOOL (tptp.hAPP @t351 (tptp.hAPP @t4454 @t45))) @t89)))) % 6.62/6.88 (assume @p3275 (forall @t205 (=> @t4428 (=> @t4455 (=> @t4416 @t4453))))) % 6.62/6.88 (assume @p3276 (forall @t54 (=> (tptp.class_Orderings_Owellorder @t8) (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t4231 (tptp.hAPP @t4230 @t702)))))) % 6.62/6.88 (assume @p3277 (forall @t3309 (= @t4357 (and (tptp.c_Wellfounded_Owf @t8 @t4456) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 (tptp.hAPP (tptp.hAPP @t4403 @t4456) @t4457)) @t4456)))))) % 6.62/6.88 (assume @p3278 (forall (@list @t199 @t200 @t180 @t8) (=> @t4357 (=> (tptp.hBOOL (tptp.hAPP @t4459 @t4456)) (=> (tptp.hBOOL (tptp.hAPP @t4458 @t4457)) (=> @t4455 @t4453)))))) % 6.62/6.88 (assume @p3279 (forall @t3404 (=> @t4437 (tptp.c_Wellfounded_Owf @t4461 @t4460)))) % 6.62/6.88 (assume @p3280 (forall (@list @t8 @t1 @t2 @t180) (=> (forall @t7 (=> @t1080 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 (tptp.hAPP @t2 @t4)) @t5)))) (tptp.c_Wellfounded_Owf @t8 (tptp.hAPP @t4231 (tptp.hAPP @t4230 (tptp.hAPP (tptp.hAPP @t3406 @t3296) (tptp.hAPP @t3347 @t1)))))))) % 6.62/6.88 (assume @p3281 (forall @t4469 (=> @t4468 (=> @t4467 (=> @t4466 (=> (forall @t7 (=> @t4465 (exists @t458 (and @t4464 @t4463)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP @t4260 @t215) @t250)) @t4354)))))))) % 6.62/6.88 (assume @p3282 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t4444 (tptp.hAPP @t4443 (tptp.hAPP (tptp.hAPP @t4470 (tptp.hAPP @t3274 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 6.62/6.88 (assume @p3283 (forall @t3404 (=> @t4437 (tptp.c_Wellfounded_Owf @t4461 @t4471)))) % 6.62/6.88 (assume @p3284 (forall @t4474 (=> @t4437 (tptp.c_Wellfounded_Owf @t4461 @t4473)))) % 6.62/6.88 (assume @p3285 (forall @t3404 (= @t4471 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t4476) @t1444) @t4472)))) % 6.62/6.88 (assume @p3286 (forall @t3404 (= (tptp.hAPP @t4472 @t1975) (tptp.c_Orderings_Obot__class_Obot @t4476)))) % 6.62/6.88 (assume @p3287 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 6.62/6.88 (assume @p3288 (forall (@list @t8 @t200 @t39 @t180) (=> (forall @t7 (=> @t1080 (tptp.c_Wellfounded_Owf @t39 @t4284))) (tptp.c_Wellfounded_Owf @t1065 @t4266)))) % 6.62/6.88 (assume @p3289 (forall @t1171 (= (tptp.c_Nitpick_Ozero__frac @t372) (tptp.c_Nitpick_OAbs__Frac @t372 @t4006)))) % 6.62/6.88 (assume @p3290 (forall @t4483 (= (tptp.hAPP @t4482 @t4481) (tptp.hAPP @t3290 (tptp.hAPP @t4480 @t4477))))) % 6.62/6.88 (assume @p3291 (forall @t4485 (=> @t3941 (tptp.hBOOL (tptp.hAPP @t141 @t4484))))) % 6.62/6.88 (assume @p3292 (forall @t118 (= (tptp.hAPP @t4486 @t4353) @t45))) % 6.62/6.88 (assume @p3293 (forall @t1740 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP (tptp.hAPP @t237 @t4488) @t4487)) (tptp.hAPP @t4482 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3429) @t45) @t74)))))) % 6.62/6.88 (assume @p3294 (forall (@list @t199 @t8 @t39) (= (tptp.hAPP @t4482 (tptp.c_Complete__Lattice_OSup__class_OSup @t3429 @t199)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3429 @t52) @t199) @t4482)))) % 6.62/6.88 (assume @p3295 (forall @t4491 (= (= @t4490 @t53) (= @t725 @t4489)))) % 6.62/6.88 (assume @p3296 (forall @t4492 (= (tptp.hAPP @t4482 @t4489) @t53))) % 6.62/6.88 (assume @p3297 (forall @t1735 (= (tptp.hAPP @t4482 (tptp.hAPP (tptp.hAPP @t3430 @t45) @t74)) (tptp.hAPP (tptp.hAPP @t1037 @t4488) @t4487)))) % 6.62/6.88 (assume @p3298 (forall @t4494 (=> @t4493 (tptp.hBOOL (tptp.hAPP @t41 @t4484))))) % 6.62/6.88 (assume @p3299 (forall @t3421 (= (tptp.hAPP (tptp.c_Set_Oimage @t3428 @t8 @t4157) @t200) (tptp.hAPP @t4482 @t200)))) % 6.62/6.88 (assume @p3300 (forall @t4495 (= (tptp.hBOOL (tptp.hAPP @t66 @t4490)) (exists @t641 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3933 (tptp.hAPP (tptp.hAPP @t3931 @t206) @t13)) @t725)))))) % 6.62/6.88 (assume @p3301 (forall (@list @t725 @t57 @t13 @t8 @t39) (= (tptp.hAPP @t4482 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3428) @t3964) @t725)) (tptp.hAPP @t70 @t4490)))) % 6.62/6.88 (assume @p3302 (forall @t1740 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP @t4482 (tptp.hAPP (tptp.hAPP @t4496 @t45) @t74))) (tptp.hAPP (tptp.hAPP @t1551 @t4488) @t4487))))) % 6.62/6.88 (assume @p3303 (forall @t1171 (= (tptp.c_Nitpick_Oone__frac @t372) (tptp.c_Nitpick_OAbs__Frac @t372 (tptp.hAPP (tptp.hAPP @t3892 @t2270) @t2270))))) % 6.62/6.88 (assume @p3304 (forall @t1524 (= (tptp.c_Nitpick_Onumber__of__frac @t372 @t1211) (tptp.c_Nitpick_OAbs__Frac @t372 (tptp.hAPP (tptp.hAPP @t3892 @t1211) @t2270))))) % 6.62/6.88 (assume @p3305 (forall @t1652 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t8 @t39 @t4427) @t60)) (tptp.hBOOL (tptp.hAPP @t62 @t4484))))) % 6.62/6.88 (assume @p3306 (forall @t4498 (=> @t4182 (tptp.hBOOL (tptp.hAPP @t4497 @t57))))) % 6.62/6.88 (assume @p3307 (forall (@list @t192 @t725 @t39 @t8) (= (tptp.hBOOL (tptp.hAPP @t4497 @t192)) (exists @t649 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t725 @t287) @t192)))))) % 6.62/6.88 (assume @p3308 (forall @t621 (= (tptp.hAPP (tptp.hAPP @t4499 @t403) @t407) (tptp.c_Nitpick_OAbs__Frac @t372 (tptp.c_Nitpick_Onorm__frac @t403 @t407))))) % 6.62/6.88 (assume @p3309 (forall (@list @t725 @t39 @t57 @t8) (=> (tptp.hBOOL (tptp.hAPP @t59 @t4490)) (not (forall @t7 (not @t3934)))))) % 6.62/6.88 (assume @p3310 (forall @t4343 (=> @t4437 (=> (tptp.c_Wellfounded_Owf @t8 @t2757) (=> (= (tptp.hAPP (tptp.hAPP @t1551 @t4501) (tptp.hAPP @t4486 @t2757)) @t53) (tptp.c_Wellfounded_Owf @t8 @t4346)))))) % 6.62/6.88 (assume @p3311 (forall @t4485 (=> @t3941 @t4504))) % 6.62/6.88 (assume @p3312 (forall @t118 (= (tptp.hAPP @t4500 @t4353) @t45))) % 6.62/6.88 (assume @p3313 (forall @t4494 (= (= @t4503 @t53) (= @t725 @t3914)))) % 6.62/6.88 (assume @p3314 (forall @t1064 (= (tptp.hAPP @t4502 @t3914) @t53))) % 6.62/6.88 (assume @p3315 (forall @t4507 (=> @t4506 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t4503) (tptp.hAPP @t4502 @t2757)))))) % 6.62/6.88 (assume @p3316 (forall @t1740 (= (tptp.hAPP @t4502 (tptp.hAPP (tptp.hAPP @t3898 @t45) @t74)) (tptp.hAPP (tptp.hAPP @t1037 @t4509) @t4508)))) % 6.62/6.88 (assume @p3317 (forall @t4494 (=> @t4493 (tptp.hBOOL (tptp.hAPP @t42 @t4503))))) % 6.62/6.88 (assume @p3318 (forall @t4510 (= (tptp.hAPP (tptp.c_Set_Oimage @t1065 @t8 @t4200) @t200) (tptp.hAPP @t4502 @t200)))) % 6.62/6.88 (assume @p3319 (forall @t4495 (= @t4504 (exists @t641 @t4511)))) % 6.62/6.88 (assume @p3320 (forall @t4485 (= (tptp.hAPP @t4502 (tptp.hAPP @t4513 @t725)) (tptp.hAPP @t47 @t4503)))) % 6.62/6.88 (assume @p3321 (forall @t1740 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP @t4502 (tptp.hAPP (tptp.hAPP @t3917 @t45) @t74))) (tptp.hAPP (tptp.hAPP @t1551 @t4509) @t4508))))) % 6.62/6.88 (assume @p3322 (forall @t1740 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP (tptp.hAPP @t237 @t4509) @t4508)) (tptp.hAPP @t4502 (tptp.hAPP (tptp.hAPP @t4514 @t45) @t74)))))) % 6.62/6.88 (assume @p3323 (forall @t3404 (= @t4337 (tptp.hAPP (tptp.hAPP @t1037 @t4501) @t4515)))) % 6.62/6.88 (assume @p3324 (forall (@list @t199 @t39 @t8) (= (tptp.hAPP @t4502 (tptp.c_Complete__Lattice_OSup__class_OSup @t1066 @t199)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1066 @t52) @t199) @t4502)))) % 6.62/6.88 (assume @p3325 (forall @t4053 (= (tptp.hAPP @t4502 (tptp.hAPP @t3880 @t4215)) (tptp.hAPP @t3290 (tptp.hAPP @t4480 @t180))))) % 6.62/6.88 (assume @p3326 (forall @t1652 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t8 @t39 @t4427) @t60)) (tptp.hBOOL (tptp.hAPP @t87 @t4503))))) % 6.62/6.88 (assume @p3327 (forall @t4495 (=> @t4504 (not (forall @t641 (not @t4511)))))) % 6.62/6.88 (assume @p3328 (forall (@list @t45 @t1 @t2 @t39 @t8 @t125) (= (tptp.hAPP (tptp.c_Set_Oimage @t125 @t1065 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t125 @t39 @t1065) @t4518) @t1)) @t45) (tptp.hAPP (tptp.hAPP @t4517 @t4516) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t438 @t80 @t8) @t127) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t438 @t438) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t438 @t4391 @t8) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t438)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 @t438 @t8) (tptp.c_Set_Ovimage @t125 @t8 @t2)) @t214))) @t45)))))) % 6.62/6.88 (assume @p3329 (forall @t4498 (=> @t4182 (tptp.hBOOL (tptp.hAPP @t4519 @t13))))) % 6.62/6.88 (assume @p3330 (forall @t1698 (=> @t67 (=> @t1697 @t4522)))) % 6.62/6.88 (assume @p3331 (forall (@list @t74 @t39 @t8) (= (tptp.hAPP (tptp.hAPP @t4517 @t53) @t74) @t3914))) % 6.62/6.88 (assume @p3332 (forall @t4529 (=> @t4528 (= (= @t4527 @t4525) @t106)))) % 6.62/6.88 (assume @p3333 (forall (@list @t74 @t215 @t39 @t8) (= (tptp.hAPP (tptp.hAPP @t4517 (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t215)) @t74) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t52 @t1066) @t215) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t52 @t3879 @t1066) @t4517) @t74))))) % 6.62/6.88 (assume @p3334 (forall @t1740 (= (tptp.hAPP @t4532 @t4531) (tptp.hAPP (tptp.hAPP @t1302 @t1014) @t1184)))) % 6.62/6.88 (assume @p3335 (forall @t445 (=> @t444 (= @t443 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t3948 @t8) @t4043) @t4535))))) % 6.62/6.88 (assume @p3336 (forall @t1740 (= (= @t4531 @t3914) (or @t89 @t2750)))) % 6.62/6.88 (assume @p3337 (forall @t1333 (= (tptp.hAPP @t4520 (tptp.hAPP @t1736 @t81)) @t3914))) % 6.62/6.88 (assume @p3338 (forall @t1333 (= (tptp.hAPP @t4537 (tptp.hAPP @t4520 @t4536)) (tptp.hAPP (tptp.hAPP @t4517 @t827) @t4536)))) % 6.62/6.88 (assume @p3339 (forall @t1333 (= (tptp.hAPP @t4537 (tptp.hAPP @t4538 @t4539)) (tptp.hAPP @t4538 (tptp.hAPP @t1736 @t1178))))) % 6.62/6.88 (assume @p3340 (forall @t445 (=> @t947 (= (tptp.hAPP (tptp.hAPP @t943 (tptp.hAPP (tptp.hAPP @t442 (tptp.hAPP (tptp.hAPP @t440 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t125 @t8)) @t2)) @t74)) @t45) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t3948 @t8) @t4043) @t4535))))) % 6.62/6.88 (assume @p3341 (forall @t1746 (= (tptp.hAPP @t4540 (tptp.hAPP (tptp.hAPP @t4543 @t1807) @t74)) (tptp.hAPP (tptp.hAPP @t3898 @t4542) @t4541)))) % 6.62/6.88 (assume @p3342 (forall @t4548 (= (tptp.hAPP (tptp.hAPP @t4517 @t1039) @t4544) (tptp.hAPP (tptp.hAPP @t3898 @t4547) @t4546)))) % 6.62/6.88 (assume @p3343 (forall @t4551 (= (tptp.hAPP (tptp.hAPP @t4517 (tptp.hAPP (tptp.hAPP @t1037 @t1742) @t1776)) @t447) (tptp.hAPP (tptp.hAPP @t3898 @t4550) @t4549)))) % 6.62/6.88 (assume @p3344 (forall (@list @t447 @t2757 @t125 @t74 @t45 @t725 @t39 @t8) (=> @t4555 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4402 @t2757) (tptp.hAPP (tptp.hAPP @t4534 @t74) (tptp.hAPP @t4533 @t447)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4401 @t4395) (tptp.hAPP @t4554 (tptp.hAPP @t4552 @t447)))))))) % 6.62/6.88 (assume @p3345 (forall @t1735 (= (tptp.hAPP (tptp.c_Set_Oimage @t3428 @t1065 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t39 @t8 @t1065) @t4557)) @t4556) (tptp.hAPP @t4545 @t4539)))) % 6.62/6.88 (assume @p3346 (forall @t1192 (=> @t50 (=> @t521 @t4558)))) % 6.62/6.88 (assume @p3347 (forall @t3403 (=> @t3458 @t4562))) % 6.62/6.88 (assume @p3348 (forall @t4551 (= (tptp.hAPP (tptp.hAPP @t4517 (tptp.hAPP (tptp.hAPP @t1551 @t1742) @t1776)) @t447) (tptp.hAPP (tptp.hAPP @t3917 @t4550) @t4549)))) % 6.62/6.88 (assume @p3349 (forall @t4548 (= (tptp.hAPP (tptp.hAPP @t4517 @t1553) @t4544) (tptp.hAPP (tptp.hAPP @t3917 @t4547) @t4546)))) % 6.62/6.88 (assume @p3350 (forall @t1746 (= (tptp.hAPP @t4540 (tptp.hAPP (tptp.hAPP @t4543 @t1942) @t74)) (tptp.hAPP (tptp.hAPP @t3917 @t4542) @t4541)))) % 6.62/6.88 (assume @p3351 (forall @t118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 @t4353) @t4561)))) % 6.62/6.88 (assume @p3352 (forall @t4551 (= (tptp.hAPP (tptp.hAPP @t4517 (tptp.hAPP (tptp.hAPP @t237 @t1742) @t1776)) @t447) (tptp.hAPP (tptp.hAPP @t4514 @t4550) @t4549)))) % 6.62/6.88 (assume @p3353 (forall @t4548 (= (tptp.hAPP (tptp.hAPP @t4517 @t254) @t4544) (tptp.hAPP (tptp.hAPP @t4514 @t4547) @t4546)))) % 6.62/6.88 (assume @p3354 (forall @t1746 (= (tptp.hAPP @t4540 (tptp.hAPP (tptp.hAPP @t4543 @t1955) @t74)) (tptp.hAPP (tptp.hAPP @t4514 @t4542) @t4541)))) % 6.62/6.88 (assume @p3355 (forall (@list @t193 @t725 @t39 @t8) (= (tptp.hBOOL (tptp.hAPP @t4519 @t193)) (exists @t669 (tptp.hBOOL (tptp.hAPP @t4445 @t668)))))) % 6.62/6.88 (assume @p3356 (forall @t1064 (= (tptp.hAPP @t4538 @t4536) @t1067))) % 6.62/6.88 (assume @p3357 (forall @t4563 (= @t4522 (and @t67 @t1697)))) % 6.62/6.88 (assume @p3358 (forall @t4563 (=> @t4522 @t67))) % 6.62/6.88 (assume @p3359 (forall @t4563 (=> @t4522 @t1697))) % 6.62/6.88 (assume @p3360 (forall @t4563 (=> @t4522 (not (=> @t67 (not @t1697)))))) % 6.62/6.88 (assume @p3361 (forall (@list @t45 @t60 @t39 @t8) (= (tptp.hAPP @t4532 (tptp.hAPP (tptp.hAPP @t4517 @t164) @t4539)) @t1150))) % 6.62/6.88 (assume @p3362 (forall @t4529 (=> @t4528 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4565 @t4527) @t4525)) (tptp.hBOOL (tptp.hAPP @t4564 @t74)))))) % 6.62/6.88 (assume @p3363 (forall (@list @t447 @t74 @t45 @t725 @t39 @t8) (=> @t4555 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t504 (tptp.hAPP @t3422 @t447)) @t74))))) % 6.62/6.88 (assume @p3364 (forall @t1740 (=> @t4558 (=> (not @t2750) @t50)))) % 6.62/6.88 (assume @p3365 (forall @t1740 (=> @t4558 (=> @t90 @t521)))) % 6.62/6.88 (assume @p3366 (forall @t4568 (= (tptp.hAPP @t3880 (tptp.hAPP @t3878 (tptp.hAPP (tptp.hAPP @t1158 @t4567) @t179))) (tptp.hAPP @t4566 (tptp.hAPP @t1736 (tptp.hAPP @t3317 @t179)))))) % 6.62/6.88 (assume @p3367 (forall @t4568 (= (tptp.hAPP @t3880 (tptp.hAPP @t3878 (tptp.hAPP (tptp.hAPP @t4543 @t4567) @t179))) (tptp.hAPP @t4566 (tptp.hAPP @t3332 @t179))))) % 6.62/6.88 (assume @p3368 (forall (@list @t45 @t39 @t8 @t74) (and (=> @t541 (= @t4569 @t81)) (=> @t542 (= @t4569 @t45))))) % 6.62/6.88 (assume @p3369 (forall (@list @t74 @t39 @t8 @t45) (and (=> @t89 (= @t4570 @t81)) (=> @t90 (= @t4570 @t74))))) % 6.62/6.88 (assume @p3370 (forall (@list @t74 @t57 @t45 @t13 @t39 @t8) (= (tptp.hAPP @t4571 @t4572) (tptp.hAPP @t4513 (tptp.hAPP (tptp.hAPP @t3898 (tptp.hAPP @t4520 @t4572)) (tptp.hAPP @t4571 @t4530)))))) % 6.62/6.88 (assume @p3371 (forall (@list @t215 @t725 @t45 @t8) (=> @t50 (=> @t4562 (=> @t3431 @t4468))))) % 6.62/6.88 (assume @p3372 (forall (@list @t37 @t4573 @t74 @t45 @t39 @t8 @t4045 @t125) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4578 @t1066) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t125 @t4045) @t45) (tptp.hAPP (tptp.c_COMBK @t4577 @t125) @t74))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t125 @t4045 @t1066) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t125 @t4576 @t4575) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4574 (tptp.tc_fun @t4576 @t4575) @t125) (tptp.c_COMBB @t3879 @t1066 @t4045)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 @t4574 @t125) @t4517) @t4573))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 @t3879 @t4045) @t1736) @t37)))) (tptp.hAPP (tptp.hAPP @t4517 (tptp.hAPP @t1718 @t4573)) (tptp.hAPP @t1736 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4045 @t80) @t74) @t37)))))) % 6.62/6.88 (assume @p3373 (forall @t1740 (= @t4521 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t1066) @t45) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t4581 @t1066) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 (tptp.tc_fun @t4581 @t1066) @t8) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t39 @t1066)) @t74)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1066 @t4581) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4580 (tptp.tc_fun @t1066 @t4581) @t8) (tptp.c_COMBC @t39 @t1066 @t1066)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3906 @t4580 @t8) (tptp.hAPP (tptp.c_COMBB @t1065 @t4579 @t39) @t4512)) @t3899))) @t3914)))))) % 6.62/6.88 (assume @p3374 (forall @t3403 (=> @t50 (=> @t4562 (tptp.hBOOL (tptp.hAPP @t3076 @t3399)))))) % 6.62/6.88 (assume @p3375 (forall (@list @t74 @t45 @t1 @t2 @t39 @t8 @t125) (=> (tptp.class_Rings_Osemiring__0 @t125) (=> (tptp.c_Fun_Oinj__on @t1065 @t125 (tptp.hAPP @t3998 @t4584) @t4531) (= (tptp.hAPP (tptp.hAPP @t4582 (tptp.hAPP (tptp.hAPP @t646 @t2) @t45)) (tptp.hAPP (tptp.hAPP @t647 @t1) @t74)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t125 @t125) (tptp.c_Fun_Oid @t125)) (tptp.hAPP (tptp.c_Set_OCollect @t125) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 tptp.tc_HOL_Obool @t125) @t3351) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3879 @t52 @t125) @t4480) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t125 @t3879 @t3879) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4589 (tptp.tc_fun @t3879 @t3879) @t125) @t4543) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4588 @t4589 @t125) (tptp.hAPP (tptp.c_COMBB @t4587 @t1157 @t8) @t3331)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3879 @t4588 @t125) (tptp.hAPP (tptp.c_COMBB @t80 @t4587 @t8) @t3330)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t125 @t4586 @t3879) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4585 (tptp.tc_fun @t4586 @t3879) @t125) (tptp.c_COMBB @t3335 @t80 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t438 @t4585 @t125) (tptp.c_COMBB @t125 tptp.tc_HOL_Obool @t39)) tptp.c_fequal))) @t4584))))) @t3882)))))))))) % 6.62/6.88 (assume @p3376 (forall (@list @t45 @t1742 @t39 @t8) (exists @t549 (and (tptp.c_Fun_Oinj__on @t8 @t3428 @t546 @t1745) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4565 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t3428 @t546) @t1745)) (tptp.hAPP (tptp.hAPP @t4524 @t1742) @t45))))))) % 6.62/6.88 (assume @p3377 (forall (@list @t1 @t74 @t39 @t45 @t8 @t125) (=> @t4593 (=> @t50 (=> @t1605 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4592 (tptp.hAPP (tptp.hAPP @t3337 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t125 @t3334) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3335 (tptp.tc_fun @t125 @t3334) @t8) @t4591) @t1)) @t4590)) @t74)) @t4590) @t45) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t125 @t1065 @t4582) (tptp.hAPP @t3998 @t1)) @t4590) @t4521))))))) % 6.62/6.88 (assume @p3378 (forall @t252 (= (tptp.hAPP @t4595 @t250) @t250))) % 6.62/6.88 (assume @p3379 (forall @t118 (tptp.c_Fun_Oinj__on @t8 @t8 @t4594 @t45))) % 6.62/6.88 (assume @p3380 (forall @t118 (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t8 @t4594) @t45) @t45))) % 6.62/6.88 (assume @p3381 (forall @t376 (= (tptp.hAPP @t4596 @t371) @t371))) % 6.62/6.88 (assume @p3382 (forall (@list @t4597 @t372) (= (tptp.hAPP @t4596 @t4597) @t4597))) % 6.62/6.88 (assume @p3383 (forall @t4492 (= (tptp.c_Product__Type_Oapsnd @t39 @t39 @t8 @t4599) @t4598))) % 6.62/6.88 (assume @p3384 (forall @t1064 (= (tptp.c_Product__Type_Oapfst @t8 @t8 @t39 @t4594) @t4598))) % 6.62/6.88 (assume @p3385 (= @t2943 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 6.62/6.88 (assume @p3386 (forall @t54 (= (tptp.hAPP @t4595 @t1021) @t1021))) % 6.62/6.88 (assume @p3387 (forall @t1064 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t39 @t1065) @t3899) @t4598))) % 6.62/6.88 (assume @p3388 (forall @t4600 (=> @t575 (=> @t451 (= @t495 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t39 @t39) @t4599) @t484)))))) % 6.62/6.88 (assume @p3389 (forall @t4600 (=> @t816 (=> @t451 (= @t2928 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t39 @t39) @t4599) @t484)))))) % 6.62/6.88 (assume @p3390 (forall @t4603 (=> @t4593 (=> @t50 (=> @t1605 (= (tptp.hAPP (tptp.hAPP @t4602 (tptp.hAPP (tptp.hAPP @t3337 (tptp.hAPP (tptp.hAPP @t3336 @t4601) @t2)) @t74)) @t45) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t1065 @t125) @t3999) @t4521))))))) % 6.62/6.88 (assume @p3391 (forall @t4603 (=> @t651 (=> @t50 (=> @t1605 (= (tptp.hAPP (tptp.hAPP @t646 (tptp.hAPP @t3338 @t74)) @t45) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1065 @t125) @t3999) @t4521))))))) % 6.62/6.88 (assume @p3392 (forall @t1192 (=> @t50 (=> @t1605 (= (tptp.hAPP @t4532 @t4521) (tptp.hAPP (tptp.hAPP @t463 (tptp.hAPP @t3343 @t74)) @t45)))))) % 6.62/6.88 (assume @p3393 (forall @t1192 (=> @t50 (=> @t3410 (tptp.hBOOL (tptp.hAPP @t1068 @t4521)))))) % 6.62/6.88 (assume @p3394 (forall (@list @t74 @t45 @t82 @t39 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4607 @t4521)) (not (forall @t7 (=> @t130 (forall @t641 (=> (tptp.hBOOL (tptp.hAPP @t4606 @t1604)) (not (= @t82 @t4605)))))))))) % 6.62/6.88 (assume @p3395 (forall (@list @t1 @t125 @t4045 @t2 @t8 @t39) (=> @t1179 (=> (= (tptp.hAPP @t4611 (tptp.c_Orderings_Otop__class_Otop @t4577)) @t4610) (= (tptp.hAPP @t4609 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4608 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t4387)))))) % 6.62/6.88 (assume @p3396 (forall (@list @t1 @t2 @t4045 @t125 @t200 @t57 @t13 @t39 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3940 @t200)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4615 (tptp.hAPP (tptp.hAPP @t4614 @t161) @t4613)) (tptp.hAPP (tptp.c_Set_Oimage @t1065 @t4578 @t4612) @t200)))))) % 6.62/6.88 (assume @p3397 (forall (@list @t57 @t13 @t1 @t2 @t39 @t4045 @t8 @t125) (= (tptp.hAPP @t4616 (tptp.hAPP (tptp.hAPP @t4614 @t13) @t57)) (tptp.hAPP (tptp.hAPP @t3899 @t161) @t4613)))) % 6.62/6.88 (assume @p3398 (forall (@list @t142 @t39 @t8) (= (tptp.hAPP @t4617 @t142) @t142))) % 6.62/6.88 (assume @p3399 (forall (@list @t60 @t1 @t2 @t4045 @t125 @t8 @t39) (= (tptp.hAPP @t4157 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t125 @t39 @t4045 @t8 @t2 @t1) @t60)) @t4298))) % 6.62/6.88 (assume @p3400 (forall (@list @t60 @t1 @t2 @t4045 @t125 @t39 @t8) (= (tptp.hAPP @t4200 (tptp.hAPP @t4616 @t60)) @t4300))) % 6.62/6.88 (assume @p3401 (forall @t1064 (= @t4617 @t4598))) % 6.62/6.88 (assume @p3402 (forall (@list @t2 @t8 @t125 @t39) (= (tptp.c_Product__Type_Oapsnd @t39 @t125 @t8 @t2) (tptp.c_Product__Type_Omap__pair @t8 @t8 @t39 @t125 @t4594 @t2)))) % 6.62/6.88 (assume @p3403 (forall (@list @t2 @t39 @t125 @t8) (= (tptp.c_Product__Type_Oapfst @t8 @t125 @t39 @t2) (tptp.c_Product__Type_Omap__pair @t8 @t125 @t39 @t39 @t2 @t4599)))) % 6.62/6.88 (assume @p3404 (forall @t1064 (= (tptp.c_Product__Type_Omap__pair @t8 @t8 @t39 @t39 @t4594 @t4599) @t4598))) % 6.62/6.88 (assume @p3405 (forall (@list @t1 @t2 @t4045 @t39 @t125 @t8) (= @t4612 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t39 @t4578) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4620 @t4619) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4618 (tptp.tc_fun @t4620 @t4619) @t8) (tptp.c_COMBB @t4045 @t4578 @t39)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t125 @t4618 @t8) @t4614) @t2))) @t1))))) % 6.62/6.88 (assume @p3406 (forall (@list @t4621 @t74 @t1 @t125 @t4045 @t544 @t45 @t2 @t8 @t39) (=> @t4622 (=> (= (tptp.hAPP @t4611 @t74) @t4621) (= (tptp.hAPP @t4609 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t39 @t4045) @t45) (tptp.hAPP (tptp.c_COMBK @t4577 @t39) @t74))) (tptp.hAPP (tptp.hAPP @t4553 @t544) (tptp.hAPP @t4552 @t4621))))))) % 6.62/6.88 (assume @p3407 (forall @t4438 (=> @t4437 (=> @t1022 (tptp.c_Wellfounded_Owf @t39 (tptp.hAPP (tptp.c_Set_Oimage @t3400 @t3929 (tptp.c_Product__Type_Omap__pair @t8 @t39 @t8 @t39 @t2 @t2)) @t725)))))) % 6.62/6.88 (assume @p3408 (forall (@list @t74 @t1 @t4045 @t125 @t45 @t2 @t39 @t8) (=> @t331 (=> (tptp.c_Fun_Oinj__on @t125 @t4045 @t1 @t74) (tptp.c_Fun_Oinj__on @t4385 @t4608 (tptp.c_Product__Type_Omap__pair @t8 @t39 @t125 @t4045 @t2 @t1) (tptp.hAPP @t4554 (tptp.hAPP @t4552 @t74))))))) % 6.62/6.88 (assume @p3409 (forall (@list @t200 @t1 @t2 @t4045 @t125 @t82 @t39 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4607 (tptp.hAPP (tptp.c_Set_Oimage @t4578 @t1065 @t4616) @t200))) (not (forall @t210 (=> (= @t82 (tptp.hAPP (tptp.hAPP @t3899 @t5) (tptp.hAPP @t1 @t206))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4615 (tptp.hAPP (tptp.hAPP @t4614 @t3) @t206)) @t200))))))))) % 6.62/6.88 (assume @p3410 (forall @t3403 (= @t4624 (and @t4562 @t4623)))) % 6.62/6.88 (assume @p3411 (forall @t3404 (= @t4626 (tptp.c_Wellfounded_Owf @t8 @t4625)))) % 6.62/6.88 (assume @p3412 (forall @t54 (tptp.c_Wellfounded_OwfP @t8 (tptp.hAPP @t4559 @t3306)))) % 6.62/6.88 (assume @p3413 (forall @t118 (tptp.c_Relation_Orefl__on @t8 @t45 @t4353))) % 6.62/6.88 (assume @p3414 (forall @t3404 (= @t4626 (forall @t669 (tptp.hBOOL (tptp.hAPP @t4178 @t668)))))) % 6.62/6.88 (assume @p3415 (forall @t4379 (=> @t4626 (tptp.hBOOL (tptp.hAPP @t4178 @t60))))) % 6.62/6.88 (assume @p3416 (forall @t4442 (=> @t4626 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4175 @t2488) @t725)) (tptp.c_Wellfounded_OwfP @t8 @t2488))))) % 6.62/6.88 (assume @p3417 (forall @t54 (tptp.c_Relation_Orefl__on @t8 @t53 @t3440))) % 6.62/6.88 (assume @p3418 (forall @t4628 (=> @t4624 (=> @t4627 (tptp.c_Relation_Orefl__on @t8 @t1039 @t4346))))) % 6.62/6.88 (assume @p3419 (forall @t4628 (=> @t4624 (=> @t4627 (tptp.c_Relation_Orefl__on @t8 @t1553 @t4629))))) % 6.62/6.88 (assume @p3420 (forall @t3568 (=> @t4624 (=> @t67 @t4450)))) % 6.62/6.88 (assume @p3421 (forall @t3982 (=> @t4624 (=> @t3975 @t88)))) % 6.62/6.88 (assume @p3422 (forall @t3982 (=> @t4624 (=> @t3975 @t111)))) % 6.62/6.88 (assume @p3423 (forall @t4288 (=> @t4428 (tptp.c_Wellfounded_OwfP @t8 (tptp.c_FunDef_Oin__rel @t8 @t8 @t200))))) % 6.62/6.88 (assume @p3424 (forall @t3404 (= (tptp.c_Wellfounded_OwfP @t8 @t4378) @t4437))) % 6.62/6.88 (assume @p3425 (forall @t3404 (= @t4630 (tptp.c_Relation_Orefl__on @t8 @t1021 @t4625)))) % 6.62/6.88 (assume @p3426 (forall @t4631 (=> @t4562 (=> @t4623 @t4624)))) % 6.62/6.88 (assume @p3427 (forall @t3404 (=> @t4626 @t4632))) % 6.62/6.88 (assume @p3428 (forall @t4634 (=> (tptp.c_Wellfounded_Oacyclic @t8 @t2757) (=> @t4342 @t4633)))) % 6.62/6.88 (assume @p3429 (forall @t4379 (=> @t4630 (tptp.hBOOL (tptp.hAPP @t4635 @t60))))) % 6.62/6.88 (assume @p3430 (forall @t3404 (=> @t4437 @t4633))) % 6.62/6.88 (assume @p3431 (forall @t3404 (=> @t4348 (= @t4437 @t4633)))) % 6.62/6.88 (assume @p3432 (forall @t3404 (=> @t4348 (=> @t4633 @t4437)))) % 6.62/6.88 (assume @p3433 (forall @t3404 (= (tptp.c_Nitpick_Owf_H @t8 @t725) (and @t4633 (or @t4348 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 6.62/6.88 (assume @p3434 (forall @t4639 (=> @t4638 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t180 @t4637))) @t4636)))) % 6.62/6.88 (assume @p3435 (forall @t4640 (=> @t4638 (not (forall @t7 (not (= @t109 @t4637))))))) % 6.62/6.88 (assume @p3436 (forall @t3403 (= @t4624 (and (forall @t7 (=> @t4642 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4230 (tptp.hAPP @t3354 @t340)) @t3)))) @t4623)))) % 6.62/6.88 (assume @p3437 (forall @t4645 (=> (forall @t641 (=> @t4644 (tptp.hBOOL (tptp.hAPP @t180 @t4643)))) @t422))) % 6.62/6.88 (assume @p3438 (forall @t2952 (not (forall @t641 (=> (= @t60 @t4643) (not @t4644)))))) % 6.62/6.88 (assume @p3439 (forall @t54 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t8)))) % 6.62/6.88 (assume @p3440 (forall (@list @t180 @t8 @t3) (=> @t4646 @t1080))) % 6.62/6.88 (assume @p3441 (forall @t258 (= (tptp.hBOOL (tptp.hAPP @t2701 @t74)) (forall @t7 (=> @t1081 @t4647))))) % 6.62/6.88 (assume @p3442 (forall (@list @t180 @t45 @t39 @t8) (= (tptp.hAPP @t3290 (tptp.hAPP @t4650 (tptp.hAPP @t4649 @t180))) (tptp.hAPP @t1843 (tptp.hAPP @t3328 (tptp.hAPP @t338 @t180)))))) % 6.62/6.88 (assume @p3443 (forall (@list @t2 @t725 @t39 @t8) (= @t3923 (forall @t7 (=> @t4642 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4230 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t388 @t52) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 @t3378 @t8) @t3316) @t337)) @t2)) @t3))))))) % 6.62/6.88 (assume @p3444 (forall @t1735 (= @t1844 (tptp.hAPP @t3290 (tptp.hAPP @t4650 (tptp.hAPP @t4649 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1714 @t80) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1898 @t4651 @t8) @t3379) @t58)) @t74))))))) % 6.62/6.88 (assume @p3445 (forall @t118 (=> @t1785 (= @t3197 (tptp.c_Complete__Lattice_OInf__class_OInf @t8 (tptp.hAPP @t3290 (tptp.hAPP @t4653 (tptp.hAPP @t4652 @t987)))))))) % 6.62/6.88 (assume @p3446 (forall @t118 (=> @t1785 (= @t1825 (tptp.c_Complete__Lattice_OSup__class_OSup @t8 (tptp.hAPP @t3290 (tptp.hAPP @t4653 (tptp.hAPP @t4652 @t424)))))))) % 6.62/6.88 (assume @p3447 (forall (@list @t8 @t725 @t39) (=> (forall @t1033 (tptp.c_Wellfounded_OwfP @t39 @t4655)) (=> (forall @t2740 (=> (not (= @t4655 @t4654)) (= (tptp.hAPP (tptp.hAPP @t1583 (tptp.c_Predicate_ODomainP @t39 @t39 @t4655)) (tptp.c_Predicate_ORangeP @t39 @t39 @t4654)) @t81))) (tptp.c_Wellfounded_OwfP @t39 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 (tptp.tc_fun @t39 @t80)) @t1021) @t725)))))) % 6.62/6.88 (assume @p3448 (forall (@list @t82 @t142 @t125 @t39 @t8 @t2488) (=> (forall @t4040 (=> (= @t2488 @t4039) (tptp.hBOOL (tptp.hAPP @t4656 (tptp.hAPP (tptp.hAPP @t82 @t287) @t2207))))) (tptp.hBOOL (tptp.hAPP @t4656 (tptp.hAPP (tptp.hAPP @t4026 @t82) @t2488)))))) % 6.62/6.88 (assume @p3449 (forall (@list @t2488 @t82 @t125 @t39 @t142 @t8) (=> (tptp.hBOOL (tptp.hAPP @t145 (tptp.hAPP @t4021 @t2488))) (not (forall @t210 (=> (= @t2488 (tptp.hAPP (tptp.hAPP @t3950 @t3) @t206)) (not (tptp.hBOOL (tptp.hAPP @t145 (tptp.hAPP (tptp.hAPP @t82 @t3) @t206)))))))))) % 6.62/6.88 (assume @p3450 (forall @t118 (= @t1900 (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t4659 (tptp.c_HOL_OAll @t52)) (tptp.hAPP (tptp.hAPP @t4658 (tptp.hAPP @t3373 (tptp.hAPP (tptp.hAPP @t3369 tptp.c_fimplies) @t4657))) @t58)))))) % 6.62/6.88 (assume @p3451 (forall (@list @t74 @t45 @t2 @t125 @t39 @t8) (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t3948 @t2) @t4535) (tptp.hAPP (tptp.hAPP @t1551 (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t39 (tptp.hAPP (tptp.c_Fun_Ocomp @t3948 @t39 @t8 @t4212) @t2)) @t45)) (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t125 (tptp.hAPP (tptp.c_Fun_Ocomp @t3948 @t125 @t8 @t4155) @t2)) @t74))))) % 6.62/6.88 (assume @p3452 (forall @t4053 (= (tptp.c_Hilbert__Choice_OEps @t1065 @t4215) (tptp.c_Hilbert__Choice_OEps @t1065 @t4214)))) % 6.62/6.88 (assume @p3453 (forall @t4288 (=> (forall @t3255 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t289) (tptp.hAPP @t4454 @t289))) (= @t289 @t53))) @t4428))) % 6.62/6.88 (assume @p3454 (forall (@list @t1 @t8 @t39) (= (tptp.hAPP @t4660 @t1) @t1))) % 6.62/6.88 (assume @p3455 (forall @t380 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t39 @t8 @t2) @t4594) @t2))) % 6.62/6.88 (assume @p3456 (forall @t4664 (=> (= @t4663 (tptp.hAPP @t4660 @t82)) @t4662))) % 6.62/6.88 (assume @p3457 (forall @t297 (=> @t309 @t4666))) % 6.62/6.88 (assume @p3458 (forall (@list @t109 @t60 @t1 @t2 @t8 @t39 @t125) (= (tptp.hAPP @t4667 (tptp.c_Fun_Ofun__upd @t8 @t125 @t1 @t60 @t109)) (tptp.c_Fun_Ofun__upd @t8 @t39 @t4668 @t60 @t489)))) % 6.62/6.88 (assume @p3459 (forall (@list @t60 @t2 @t1 @t125 @t39 @t8) (= (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t39 @t4669) @t60) (tptp.hAPP (tptp.c_Set_Ovimage @t8 @t125 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t125 @t39 @t1) @t60))))) % 6.62/6.88 (assume @p3460 (forall (@list @t38 @t1 @t4045 @t2 @t8 @t39 @t125) (= (tptp.hAPP @t4667 (tptp.hAPP (tptp.c_Fun_Ocomp @t4045 @t125 @t8 @t1) @t38)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4045 @t39 @t8 @t4670) @t38)))) % 6.62/6.88 (assume @p3461 (forall (@list @t60 @t1 @t2 @t125 @t8 @t39) (= @t4672 @t229))) % 6.62/6.88 (assume @p3462 (forall (@list @t640 @t149 @t82 @t4045 @t57 @t13 @t8 @t39 @t125) (=> @t4673 (= @t4661 (tptp.hAPP @t82 (tptp.hAPP @t149 @t640)))))) % 6.62/6.88 (assume @p3463 (forall (@list @t149 @t82 @t4045 @t57 @t13 @t8 @t39 @t125) (=> @t4673 (forall (@list @t4674) (= (tptp.hAPP @t13 (tptp.hAPP @t57 @t4674)) (tptp.hAPP @t82 (tptp.hAPP @t149 @t4674))))))) % 6.62/6.88 (assume @p3464 (forall (@list @t8 @t4675) (=> (exists @t7 (tptp.hBOOL (tptp.hAPP @t4675 @t3))) (tptp.hBOOL (tptp.hAPP @t4675 (tptp.c_Hilbert__Choice_OEps @t8 @t4675)))))) % 6.62/6.88 (assume @p3465 (forall (@list @t8 @t60 @t180) (=> @t422 @t4677))) % 6.62/6.88 (assume @p3466 (forall (@list @t4044 @t4045 @t125 @t8 @t39 @t4678 @t4679 @t4680 @t60 @t1 @t2) (=> (= @t229 (tptp.hAPP @t4680 (tptp.hAPP @t4679 @t4678))) (= @t4672 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t4045 @t8 @t4044 @t4680) @t4679) @t4678))))) % 6.62/6.88 (assume @p3467 (forall @t4664 (=> (= @t4663 @t82) @t4662))) % 6.62/6.88 (assume @p3468 (forall @t299 (=> @t551 (= @t4682 @t4681)))) % 6.62/6.88 (assume @p3469 (forall @t4683 (=> @t2805 @t4677))) % 6.62/6.88 (assume @p3470 (forall @t4683 (= @t4677 @t2805))) % 6.62/6.88 (assume @p3471 (forall @t165 (= (tptp.c_Hilbert__Choice_OEps @t8 @t4684) @t60))) % 6.62/6.88 (assume @p3472 (forall @t165 (= (tptp.c_Hilbert__Choice_OEps @t8 @t296) @t60))) % 6.62/6.88 (assume @p3473 (forall (@list @t60 @t2 @t82 @t125 @t8 @t39) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t8 @t125 @t1663) @t2) @t60) @t82))) % 6.62/6.88 (assume @p3474 (forall (@list @t8 @t82 @t180) (=> @t2805 (=> (= @t82 @t4676) (tptp.hBOOL (tptp.hAPP @t180 @t82)))))) % 6.62/6.88 (assume @p3475 (forall @t4277 (= (tptp.hAPP @t4113 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t4045 @t125 @t8 @t1) @t60)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t4045 @t39 @t8 @t4670) @t60)))) % 6.62/6.88 (assume @p3476 (forall @t4301 (= (tptp.hAPP @t4279 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t4045 @t125 @t39 @t1) @t60)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t4045 @t8 @t39 (tptp.hAPP (tptp.c_Fun_Ocomp @t125 @t8 @t4045 @t2) @t1)) @t60)))) % 6.62/6.88 (assume @p3477 (forall (@list @t45 @t2 @t4680 @t125 @t39 @t8) (=> (tptp.c_Fun_Oinj__on @t8 @t39 (tptp.hAPP (tptp.c_Fun_Ocomp @t125 @t39 @t8 @t4680) @t2) @t45) (tptp.c_Fun_Oinj__on @t8 @t125 @t2 @t45)))) % 6.62/6.88 (assume @p3478 (forall @t314 (=> @t1022 (=> (tptp.c_Fun_Oinj__on @t125 @t8 @t1 @t4610) (tptp.c_Fun_Oinj__on @t125 @t39 @t4685 @t4610))))) % 6.62/6.88 (assume @p3479 (forall (@list @t1 @t125 @t2 @t8 @t39) (=> @t1179 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t8 @t125 @t1) @t1021) @t4610) (= (tptp.hAPP (tptp.c_Set_Oimage @t39 @t125 (tptp.hAPP @t4686 @t2)) @t1058) @t4610))))) % 6.62/6.88 (assume @p3480 (forall (@list @t4680 @t125 @t45 @t2 @t39 @t8) (=> @t331 (= (tptp.c_Fun_Oinj__on @t39 @t125 @t4680 @t93) (tptp.c_Fun_Oinj__on @t8 @t125 @t4687 @t45))))) % 6.62/6.88 (assume @p3481 (forall (@list @t1 @t125 @t45 @t2 @t39 @t8) (=> @t331 (=> (tptp.c_Fun_Oinj__on @t39 @t125 @t1 @t93) (tptp.c_Fun_Oinj__on @t8 @t125 @t4689 @t45))))) % 6.62/6.88 (assume @p3482 (forall (@list @t45 @t2 @t1 @t125 @t39 @t8) (=> (tptp.c_Fun_Oinj__on @t8 @t39 @t4669 @t45) (tptp.c_Fun_Oinj__on @t125 @t39 @t1 (tptp.hAPP @t3342 @t45))))) % 6.62/6.88 (assume @p3483 (forall (@list @t725 @t1 @t2 @t125 @t8 @t39) (= (tptp.hAPP (tptp.c_Set_Oimage @t39 @t8 (tptp.hAPP (tptp.c_Fun_Ocomp @t125 @t8 @t39 @t2) @t1)) @t725) (tptp.hAPP @t1140 (tptp.hAPP @t1139 @t725))))) % 6.62/6.88 (assume @p3484 (forall (@list @t4690 @t1229 @t38 @t4691 @t4044 @t1 @t2 @t39 @t4045 @t8 @t125) (= (tptp.hAPP @t4616 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t4044 @t125 @t4691 @t4045 @t38 @t1229) @t4690)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t4044 @t8 @t4691 @t39 (tptp.hAPP (tptp.c_Fun_Ocomp @t125 @t8 @t4044 @t2) @t38) (tptp.hAPP (tptp.c_Fun_Ocomp @t4045 @t39 @t4691 @t1) @t1229)) @t4690)))) % 6.62/6.88 (assume @p3485 (forall (@list @t4692 @t4693 @t4691 @t3079 @t169 @t4044 @t4045 @t39 @t125 @t8) (= (tptp.c_Product__Type_Omap__pair @t8 @t125 @t39 @t4045 (tptp.hAPP (tptp.c_Fun_Ocomp @t4044 @t125 @t8 @t169) @t3079) (tptp.hAPP (tptp.c_Fun_Ocomp @t4691 @t4045 @t39 @t4693) @t4692)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4694 @t4578 @t1065 (tptp.c_Product__Type_Omap__pair @t4044 @t125 @t4691 @t4045 @t169 @t4693)) (tptp.c_Product__Type_Omap__pair @t8 @t4044 @t39 @t4691 @t3079 @t4692))))) % 6.62/6.88 (assume @p3486 (forall (@list @t1229 @t38 @t1 @t2 @t39 @t8 @t4045 @t125 @t4691 @t4044) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4694 @t4578 @t1065 (tptp.c_Product__Type_Omap__pair @t4044 @t125 @t4691 @t4045 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t8 @t4044 @t39 @t4691 @t38 @t1229)) (tptp.c_Product__Type_Omap__pair @t8 @t125 @t39 @t4045 (tptp.hAPP (tptp.c_Fun_Ocomp @t4044 @t125 @t8 @t2) @t38) (tptp.hAPP (tptp.c_Fun_Ocomp @t4691 @t4045 @t39 @t1) @t1229))))) % 6.62/6.88 (assume @p3487 (forall @t4697 (=> @t651 (=> @t451 (= (tptp.hAPP @t648 @t484) (tptp.hAPP @t4696 @t74)))))) % 6.62/6.88 (assume @p3488 (forall @t4697 (=> @t4593 (=> @t451 (= (tptp.hAPP @t4698 @t484) (tptp.hAPP (tptp.hAPP @t4602 @t4695) @t74)))))) % 6.62/6.88 (assume @p3489 (forall @t652 (=> @t4593 (=> @t331 (=> @t650 (=> (= @t1 @t4695) @t4699)))))) % 6.62/6.88 (assume @p3490 (forall @t3916 (= (tptp.c_Hilbert__Choice_OEps @t1065 @t4050) @t3901))) % 6.62/6.88 (assume @p3491 (forall @t4053 (= (tptp.c_Hilbert__Choice_OEps @t1065 @t180) (tptp.c_Hilbert__Choice_OEps @t1065 @t4052)))) % 6.62/6.88 (assume @p3492 (forall @t4703 (=> @t575 (=> @t50 (=> @t4702 (= (tptp.hAPP @t570 @t4701) (tptp.hAPP (tptp.hAPP @t357 @t4700) @t45))))))) % 6.62/6.88 (assume @p3493 (forall @t4703 (=> @t816 (=> @t50 (=> @t4702 (= (tptp.hAPP @t811 @t4701) (tptp.hAPP (tptp.hAPP @t810 @t4700) @t45))))))) % 6.62/6.88 (assume @p3494 (forall @t4708 (=> @t4707 (=> @t4706 (=> @t4705 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t125 @t39 @t45 @t4685) @t60) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t125 @t39 (tptp.c_Fun_Othe__inv__into @t125 @t8 @t45 @t1)) (tptp.c_Fun_Othe__inv__into @t8 @t39 @t4704 @t2)) @t60))))))) % 6.62/6.88 (assume @p3495 (forall (@list @t142 @t1 @t38 @t39 @t45 @t8 @t125) (=> (tptp.class_Groups_Oab__semigroup__mult @t125) (=> @t50 (=> (tptp.c_Fun_Oinj__on @t8 @t39 @t38 @t45) (= (tptp.hAPP (tptp.hAPP @t4709 @t142) (tptp.hAPP @t40 @t45)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4592 (tptp.hAPP @t4688 @t38)) @t142) @t45))))))) % 6.62/6.88 (assume @p3496 (forall @t4712 (=> @t4711 (=> @t50 (=> @t88 (= @t173 @t4710)))))) % 6.62/6.88 (assume @p3497 (forall (@list @t1 @t38 @t45 @t37 @t142 @t2 @t39 @t8) (=> @t4713 (=> @t234 (=> (tptp.c_Fun_Oinj__on @t39 @t39 @t38 @t45) (= (tptp.hAPP @t656 (tptp.hAPP (tptp.c_Set_Oimage @t39 @t39 @t38) @t45)) (tptp.hAPP (tptp.hAPP @t37 (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t8 @t39 @t1) @t38)) @t45))))))) % 6.62/6.88 (assume @p3498 (forall @t4717 (=> @t4711 (=> @t50 (=> @t260 (=> @t1554 @t4716)))))) % 6.62/6.88 (assume @p3499 (forall (@list @t38 @t1 @t4691 @t2 @t125 @t4045 @t4044 @t37 @t2203 @t39 @t8) (=> (tptp.c_Finite__Set_Ofolding @t8 @t39 @t2203 @t37) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4044 @t4045 @t125 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t4691 @t4044 @t125 @t1) @t38)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4691 @t4045 @t125 (tptp.hAPP (tptp.c_Fun_Ocomp @t4044 @t4045 @t4691 @t2) @t1)) @t38))))) % 6.62/6.88 (assume @p3500 (forall (@list @t60 @t109 @t37 @t2 @t39 @t8) (=> @t4711 (= @t4681 @t4682)))) % 6.62/6.88 (assume @p3501 (forall (@list @t1 @t60 @t109 @t125 @t37 @t2 @t39 @t8) (=> @t4711 (= (tptp.hAPP @t4718 @t4720) (tptp.hAPP @t4719 (tptp.hAPP @t4718 @t1)))))) % 6.62/6.88 (assume @p3502 (forall (@list @t2 @t1 @t125 @t45 @t8 @t39) (= (tptp.hAPP @t1696 (tptp.hAPP (tptp.c_Fun_Ocomp @t125 @t52 @t39 @t1) @t2)) (tptp.hAPP @t1752 @t1)))) % 6.62/6.88 (assume @p3503 (forall (@list @t1 @t2 @t39 @t8 @t4045 @t125) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4578 @t125 @t1065 @t4299) @t4612) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t125 @t1065 @t2) @t4200)))) % 6.62/6.88 (assume @p3504 (forall (@list @t1 @t2 @t39 @t8 @t125 @t4045) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4721 @t125 @t1065 @t4275) (tptp.c_Product__Type_Omap__pair @t8 @t4045 @t39 @t125 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t125 @t1065 @t1) @t4207)))) % 6.62/6.88 (assume @p3505 (forall @t4723 (=> @t4713 (=> @t234 (= (tptp.hAPP (tptp.hAPP @t37 (tptp.hAPP (tptp.hAPP @t475 @t1142) @t38)) @t45) (tptp.hAPP (tptp.hAPP @t2 @t657) @t4722)))))) % 6.62/6.88 (assume @p3506 (forall (@list @t60 @t1 @t2 @t4045 @t8 @t125 @t39) (= (tptp.hAPP (tptp.hAPP @t4042 (tptp.hAPP (tptp.c_Fun_Ocomp @t4045 @t439 @t39 @t2) @t1)) @t60) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t4212 @t60))) @t4156)))) % 6.62/6.88 (assume @p3507 (forall @t4712 (=> @t4711 (=> @t50 (= (tptp.hAPP @t4665 @t173) @t4724))))) % 6.62/6.88 (assume @p3508 (forall (@list @t1 @t60 @t125 @t45 @t37 @t2 @t39 @t8) (=> @t4711 (=> @t50 (= (tptp.hAPP @t4719 @t4726) (tptp.hAPP @t4725 @t4720)))))) % 6.62/6.88 (assume @p3509 (forall @t4717 (=> @t4711 (=> @t50 (=> @t260 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t39 @t39 @t528) @t173) @t4715)))))) % 6.62/6.88 (assume @p3510 (forall (@list @t1 @t125 @t74 @t45 @t37 @t2 @t39 @t8) (=> @t4711 (=> @t50 (=> @t260 (= (tptp.hAPP @t4727 @t4726) (tptp.hAPP @t4725 (tptp.hAPP @t4727 @t1)))))))) % 6.62/6.88 (assume @p3511 (forall (@list @t37 @t2 @t39 @t8) (=> @t4711 (= (tptp.hAPP @t37 @t53) @t4599)))) % 6.62/6.88 (assume @p3512 (forall (@list @t2757 @t45 @t37 @t2 @t39 @t8) (=> @t4711 (=> @t50 (= (tptp.hAPP @t173 @t2757) (tptp.hAPP (tptp.hAPP @t532 @t2757) @t45)))))) % 6.62/6.88 (assume @p3513 (forall @t660 (=> @t4713 @t1182))) % 6.62/6.88 (assume @p3514 (forall @t4712 (=> @t4711 (=> @t50 (=> @t136 @t4728))))) % 6.62/6.88 (assume @p3515 (forall @t4717 (=> @t4711 (=> @t50 (=> @t260 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t39 @t39 @t1180) @t1684) @t4715)))))) % 6.62/6.88 (assume @p3516 (forall @t4712 (=> @t4711 (=> @t50 (= @t175 @t4710))))) % 6.62/6.88 (assume @p3517 (forall (@list @t149 @t179 @t82 @t57 @t180 @t12 @t8) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP @t4730 @t179)) @t11)) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t22 @t4729) @t149) @t179)) @t11)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP @t181 (tptp.c_Com_Ocom_OCond @t57 @t82 @t149)) @t179)) @t11)))))) % 6.62/6.88 (assume @p3518 (forall @t220 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP @t4730 @t180)) @t11)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t8 @t12 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP @t181 @t217) @t4729)) @t11))))) % 6.62/6.88 (assume @p3519 (forall (@list @t39 @t38 @t2 @t199 @t8 @t125) (=> @t651 (=> @t823 (=> (forall @t7 (=> @t1926 (forall @t641 (=> (tptp.hBOOL (tptp.hAPP @t817 @t199)) (=> (not @t4732) (=> @t4128 (= (tptp.hAPP @t38 @t5) (tptp.c_Groups_Ozero__class_Ozero @t125)))))))) (= (tptp.hAPP @t648 @t4731) (tptp.hAPP @t4696 @t199))))))) % 6.62/6.88 (assume @p3520 (forall (@list @t2757 @t3441 @t2488 @t180 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Opeek__and @t8 @t180 @t2488) @t3441) @t2757)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 @t3441) @t2757)) (tptp.hBOOL (tptp.hAPP @t2488 @t2757)))))) % 6.62/6.88 (assume @p3521 (forall @t4717 (=> @t4733 (=> @t50 (=> @t260 @t4716))))) % 6.62/6.88 (assume @p3522 (forall @t4717 (=> @t4733 (=> @t50 (=> @t378 (= @t4715 @t173)))))) % 6.62/6.88 (assume @p3523 (forall @t4712 (=> @t4733 (=> @t50 @t4728)))) % 6.62/6.88 (assume @p3524 (forall (@list @t1 @t60 @t125 @t37 @t2 @t39 @t8) (=> @t4733 (= (tptp.hAPP @t4719 @t4720) @t4720)))) % 6.62/6.88 (assume @p3525 (forall (@list @t60 @t37 @t2 @t39 @t8) (=> @t4733 @t4666))) % 6.62/6.88 (assume @p3526 (forall @t4712 (=> @t4733 (=> @t50 (=> @t88 (= @t4724 @t173)))))) % 6.62/6.88 (assume @p3527 (forall @t652 (=> @t4593 (=> @t331 (=> @t650 (=> (forall @t7 (=> @t130 (= @t4 (tptp.hAPP @t4695 @t3)))) @t4699)))))) % 6.62/6.88 (assume @p3528 (forall (@list @t502 @t74 @t39 @t447 @t45 @t8) (=> @t448 (=> (forall @t7 (=> @t130 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t504 @t1604) (tptp.hAPP @t502 @t3))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3425 @t4521) (tptp.hAPP (tptp.hAPP @t4517 @t447) @t502))))))) % 6.62/6.88 (assume @p3529 (forall @t4736 (=> (not (tptp.hBOOL (tptp.hAPP @t87 @t4734))) (not (forall @t3089 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t4735 @t60)) @t200)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t3088) @t4734)))))))) % 6.62/6.88 (assume @p3530 (forall @t3409 (=> (forall @t641 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t4737 @t60)) @t725)) (tptp.hBOOL (tptp.hAPP @t817 @t4376)))) @t4377))) % 6.62/6.88 (assume @p3531 (forall (@list @t200 @t192 @t193 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4261 (tptp.hAPP (tptp.hAPP @t4260 @t193) @t192)) @t4354)) (and @t4434 @t4433 @t4432 (forall @t7 (=> @t4431 (exists @t458 (and @t4430 @t4463)))))))) % 6.62/6.88 (assume @p3532 (forall (@list @t2 @t725 @t8) (=> @t4437 (not (forall @t1248 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 (tptp.hAPP @t2 (tptp.hAPP tptp.c_Nat_OSuc @t1245))) (tptp.hAPP @t2 @t1245))) @t725))))))) % 6.62/6.88 (assume @p3533 (forall @t4739 (= @t4738 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t4299 @t64)) (tptp.hAPP @t4297 @t64))))) % 6.62/6.88 (assume @p3534 (forall (@list @t1 @t2 @t149 @t57 @t82 @t13 @t8 @t39) (=> (and @t575 @t988) (=> @t151 (=> @t150 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t562 @t3)) (=> (tptp.hBOOL (tptp.hAPP @t952 @t149)) @t6))) (= (tptp.hAPP @t358 @t2444) (tptp.hAPP @t570 @t2443)))))))) % 6.62/6.88 (assume @p3535 (forall @t1251 (= (tptp.hBOOL (tptp.hAPP @t4741 @t4740)) @t1198))) % 6.62/6.88 (assume @p3536 (forall (@list @t2 @t60 @t39 @t125 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t125 @t8 @t39) (tptp.hAPP (tptp.c_Product__Type_OPair @t125 @t8) @t60)) @t2) @t64))) % 6.62/6.88 (assume @p3537 (forall (@list @t60 @t125 @t39 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t39 @t125 @t3948) @t60) @t3950) @t60))) % 6.62/6.88 (assume @p3538 (forall (@list @t38 @t1 @t2 @t4691 @t4044 @t39 @t4045 @t125 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t125 @t4045 @t39) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t4044 @t4691 @t4578) @t2) @t1)) @t38) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t4044 @t4691 @t39) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4044 @t4744 @t4742) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t4691 @t4578) (tptp.tc_fun @t4744 @t4742) @t4044) (tptp.c_Product__Type_Oscomp @t4691 @t125 @t4045 @t39)) @t1)) @t38))))) % 6.62/6.88 (assume @p3539 (forall @t3404 (=> @t4437 @t4746))) % 6.62/6.88 (assume @p3540 (forall @t4739 (= @t4738 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t125 @t4045 @t8) @t1) @t64)))) % 6.62/6.88 (assume @p3541 (= tptp.c_Wellfounded_Oless__than @t4740)) % 6.62/6.88 (assume @p3542 (forall @t3404 (= @t4633 @t4747))) % 6.62/6.88 (assume @p3543 (forall @t4339 (=> @t3971 @t4748))) % 6.62/6.88 (assume @p3544 (forall @t3404 (tptp.hBOOL (tptp.hAPP @t4749 (tptp.hAPP (tptp.hAPP @t4560 @t4337) (tptp.hAPP @t4559 @t4337)))))) % 6.62/6.88 (assume @p3545 (forall @t4343 (=> @t4342 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 (tptp.hAPP (tptp.hAPP @t4403 (tptp.hAPP (tptp.hAPP @t4446 @t4745) @t2757)) @t725)) @t2757)) (tptp.hBOOL (tptp.hAPP @t4749 @t2757)))))) % 6.62/6.88 (assume @p3546 (forall @t4753 (=> @t4752 @t4751))) % 6.62/6.88 (assume @p3547 (forall @t54 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t3440) @t3440))) % 6.62/6.88 (assume @p3548 (forall @t3404 (= (tptp.hAPP @t4500 @t4745) @t4501))) % 6.62/6.88 (assume @p3549 (forall @t3404 (= (tptp.hAPP @t4486 @t4745) @t4515))) % 6.62/6.88 (assume @p3550 (forall @t3404 (= (tptp.hBOOL (tptp.hAPP @t4347 @t4745)) @t4348))) % 6.62/6.88 (assume @p3551 (forall @t4759 (=> @t4748 @t4758))) % 6.62/6.88 (assume @p3552 (forall @t4759 (=> @t4748 @t4761))) % 6.62/6.88 (assume @p3553 (forall @t4759 (=> @t3971 @t4758))) % 6.62/6.88 (assume @p3554 (forall (@list @t82 @t200 @t57 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3970 @t200)) (=> (tptp.hBOOL (tptp.hAPP @t4757 @t200)) (tptp.hBOOL (tptp.hAPP @t4754 @t4762)))))) % 6.62/6.88 (assume @p3555 (forall (@list @t2757 @t725 @t2488 @t8) (=> @t4751 (=> @t4342 (tptp.hBOOL (tptp.hAPP @t4750 (tptp.c_Transitive__Closure_Otrancl @t8 @t2757))))))) % 6.62/6.88 (assume @p3556 (forall @t3404 (= @t4745 (tptp.hAPP @t4345 (tptp.hAPP (tptp.hAPP @t4403 @t4745) @t725))))) % 6.62/6.88 (assume @p3557 (forall @t4631 (=> @t4562 (tptp.hBOOL (tptp.hAPP @t4749 @t4561))))) % 6.62/6.88 (assume @p3558 (forall @t4767 (and (=> @t4765 (= @t4764 @t4216)) (=> @t4766 (= @t4764 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t8 @t39 @t8 @t3428) @t64) (tptp.c_Random_Oiterate @t39 @t8 @t4763 @t2))))))) % 6.62/6.88 (assume @p3559 (forall @t4772 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t4771) (tptp.hAPP @t4769 (tptp.hAPP @t4231 (tptp.hAPP @t4230 (tptp.hAPP (tptp.hAPP @t213 (tptp.hAPP @t3353 (tptp.hAPP @t342 (tptp.hAPP (tptp.hAPP @t4273 (tptp.hAPP @t4270 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t8 @t3400) @t3919) @t109))) @t4768)))) (tptp.hAPP (tptp.hAPP @t4273 (tptp.hAPP @t4270 @t3973)) @t4768)))))))) % 6.62/6.88 (assume @p3560 (forall @t4753 (=> @t4752 (tptp.hBOOL (tptp.hAPP @t4750 @t4768))))) % 6.62/6.88 (assume @p3561 (forall @t4408 (tptp.hBOOL (tptp.hAPP @t4449 @t4768)))) % 6.62/6.88 (assume @p3562 (forall @t4339 (=> @t4748 @t4773))) % 6.62/6.88 (assume @p3563 (forall @t4288 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t4762) @t4774))) % 6.62/6.88 (assume @p3564 (forall @t4288 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t4774) @t4774))) % 6.62/6.88 (assume @p3565 (forall @t3404 (= @t4745 @t4775))) % 6.62/6.88 (assume @p3566 (forall @t3404 (= @t4745 @t4777))) % 6.62/6.88 (assume @p3567 (forall @t4288 (= (tptp.hAPP @t4500 @t4774) @t1021))) % 6.62/6.88 (assume @p3568 (forall @t4288 (= (tptp.hAPP @t4486 @t4774) @t1021))) % 6.62/6.88 (assume @p3569 (forall (@list @t199 @t200 @t60 @t8) (=> (or (tptp.hBOOL (tptp.hAPP @t4779 @t4774)) (tptp.hBOOL (tptp.hAPP @t4779 @t4780))) (tptp.hBOOL (tptp.hAPP @t4779 @t4778))))) % 6.62/6.88 (assume @p3570 (forall @t3404 (= @t4777 @t4775))) % 6.62/6.88 (assume @p3571 (forall @t4288 (= (tptp.hAPP (tptp.hAPP @t4403 @t4774) @t4774) @t4774))) % 6.62/6.88 (assume @p3572 (forall @t4343 (=> (tptp.hBOOL (tptp.hAPP @t4341 @t4781)) @t4783))) % 6.62/6.88 (assume @p3573 (forall @t205 (=> (tptp.hBOOL (tptp.hAPP @t4459 @t199)) (=> (tptp.hBOOL (tptp.hAPP @t4458 @t4774)) (= @t4780 @t4774))))) % 6.62/6.88 (assume @p3574 (forall @t4343 (=> @t4342 @t4783))) % 6.62/6.88 (assume @p3575 (forall @t205 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 @t4785) @t4778)))) % 6.62/6.88 (assume @p3576 (forall @t205 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t4785) @t4778))) % 6.62/6.88 (assume @p3577 (forall (@list @t215 @t725 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP @t3405 @t215)) @t215)) (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t4768) @t215) @t215)))) % 6.62/6.88 (assume @p3578 (forall @t3404 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t4768) @t4768))) % 6.62/6.88 (assume @p3579 (forall @t4759 (=> @t4773 @t4788))) % 6.62/6.88 (assume @p3580 (forall @t4759 (=> @t4773 (=> @t4760 @t4786)))) % 6.62/6.88 (assume @p3581 (forall @t4759 (=> @t3971 @t4788))) % 6.62/6.88 (assume @p3582 (forall @t3404 (tptp.c_Relation_Orefl__on @t8 @t1021 @t4768))) % 6.62/6.88 (assume @p3583 (forall @t4791 (=> @t4790 (=> (tptp.hBOOL (tptp.hAPP @t3922 @t4745)) (tptp.hBOOL (tptp.hAPP @t4789 @t4745)))))) % 6.62/6.88 (assume @p3584 (forall @t4759 (=> @t4748 @t4792))) % 6.62/6.88 (assume @p3585 (forall @t4759 (=> @t4773 @t4761))) % 6.62/6.88 (assume @p3586 (forall (@list @t200 @t57 @t13 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3970 @t4774)) (or @t68 (and @t69 (tptp.hBOOL (tptp.hAPP @t3970 @t4762))))))) % 6.62/6.88 (assume @p3587 (forall @t4759 (=> @t3971 @t4792))) % 6.62/6.88 (assume @p3588 (forall @t4795 (= @t4794 (or @t112 (and @t493 @t4793))))) % 6.62/6.88 (assume @p3589 (forall (@list @t109 @t200 @t60 @t8) (=> (not (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t4500 @t200)))) (= @t4794 @t112)))) % 6.62/6.88 (assume @p3590 (forall (@list @t57 @t725 @t13 @t8) (=> @t4407 (=> @t4797 @t4409)))) % 6.62/6.88 (assume @p3591 (forall (@list @t725 @t13 @t57 @t8) (=> @t4797 (=> @t4407 @t4409)))) % 6.62/6.88 (assume @p3592 (forall @t4772 (= (tptp.c_Wellfounded_Owf @t8 @t4771) (and @t4437 @t4798)))) % 6.62/6.88 (assume @p3593 (forall @t4772 (= (tptp.c_Wellfounded_Oacyclic @t8 @t4771) (and @t4633 @t4798)))) % 6.62/6.88 (assume @p3594 (forall @t1251 (= (tptp.hBOOL (tptp.hAPP @t4741 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t1250))) % 6.62/6.88 (assume @p3595 (forall (@list @t45 @t725 @t57 @t13 @t8) (=> @t4773 (=> @t4562 @t138)))) % 6.62/6.88 (assume @p3596 (forall (@list @t1261 @t407) (and (=> @t4804 (= @t4800 @t3857)) (=> (not @t4804) (= @t4800 (tptp.hAPP (tptp.hAPP @t4799 @t3857) (tptp.c_Random_Olog @t407 (tptp.hAPP (tptp.hAPP @t3840 @t1261) @t407)))))))) % 6.62/6.88 (assume @p3597 (forall (@list @t2120 @t1208 @t1216) (and (=> @t4806 (= @t4805 (tptp.hAPP (tptp.hAPP @t3858 (tptp.hAPP (tptp.hAPP @t4799 @t2120) @t1216)) @t1208))) (=> @t4807 (= @t4805 (tptp.hAPP (tptp.hAPP @t3858 @t1216) @t1208)))))) % 6.62/6.88 (assume @p3598 (forall (@list @t1216 @t2191) (and (=> @t4809 (= @t4808 @t3857)) (=> (not @t4809) (= @t4808 (tptp.hAPP (tptp.hAPP @t4799 @t1216) @t3857)))))) % 6.62/6.88 (assume @p3599 (forall (@list @t1378 @t1216) (=> (tptp.hBOOL (tptp.hAPP @t4811 @t1216)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4801 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t4810) (tptp.hAPP (tptp.c_Random_Orange @t1216) @t1378))) @t1216))))) % 6.62/6.88 (assume @p3600 (forall @t4379 (=> (= (tptp.hAPP (tptp.hAPP @t4446 @t4814) @t4768) @t3440) (not (tptp.hBOOL (tptp.hAPP @t4812 @t4745)))))) % 6.62/6.88 (assume @p3601 (forall (@list @t1199 @t1229 @t725 @t2 @t8) (=> @t4815 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 (tptp.hAPP @t2 @t1231)) @t2756)) @t4768))))) % 6.62/6.88 (assume @p3602 (forall @t3404 (= (tptp.c_Wellfounded_Oacyclic @t8 @t4814) @t4633))) % 6.62/6.88 (assume @p3603 (forall @t4818 (= (tptp.hAPP @t4816 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t125 @t3429) @t199) @t725)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t125 @t1066) @t199) @t4817)))) % 6.62/6.88 (assume @p3604 (forall @t4819 (= (tptp.hAPP @t4816 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t39 @t125 @t8) @t725) @t2757)) (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP (tptp.c_Relation_Oconverse @t125 @t8) @t2757)) (tptp.hAPP (tptp.c_Relation_Oconverse @t39 @t125) @t725))))) % 6.62/6.88 (assume @p3605 (forall @t4822 (= (tptp.hAPP @t4816 (tptp.hAPP (tptp.hAPP @t3430 @t725) @t2757)) (tptp.hAPP (tptp.hAPP @t3898 @t4821) @t4820)))) % 6.62/6.88 (assume @p3606 (forall @t118 (= (tptp.hAPP @t4813 @t4353) @t4353))) % 6.62/6.88 (assume @p3607 (forall (@list @t2 @t200 @t39 @t8) (= (tptp.hAPP @t4813 (tptp.hAPP (tptp.hAPP @t4232 @t200) @t2)) (tptp.hAPP (tptp.hAPP @t4232 (tptp.hAPP (tptp.c_Relation_Oconverse @t39 @t39) @t200)) @t2)))) % 6.62/6.88 (assume @p3608 (forall @t4822 (= (tptp.hAPP @t4816 (tptp.hAPP (tptp.hAPP @t4496 @t725) @t2757)) (tptp.hAPP (tptp.hAPP @t3917 @t4821) @t4820)))) % 6.62/6.88 (assume @p3609 (forall @t4491 (= (tptp.hAPP @t4816 @t4823) @t725))) % 6.62/6.88 (assume @p3610 (forall @t4494 (= (tptp.hBOOL (tptp.hAPP @t1068 @t4821)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t3428) @t725))))) % 6.62/6.88 (assume @p3611 (forall @t3404 (= (tptp.hAPP @t4336 @t4814) @t4337))) % 6.62/6.88 (assume @p3612 (forall @t4485 (= @t4826 @t4825))) % 6.62/6.88 (assume @p3613 (forall @t4485 (=> @t3941 (tptp.hBOOL (tptp.hAPP @t4824 @t4823))))) % 6.62/6.88 (assume @p3614 (forall @t4485 (=> @t4826 @t4825))) % 6.62/6.88 (assume @p3615 (forall @t3403 (= (tptp.c_Relation_Orefl__on @t8 @t45 @t4814) @t4624))) % 6.62/6.88 (assume @p3616 (forall @t4818 (= (tptp.hAPP @t4816 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t125 @t3429) @t199) @t725)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t125 @t1066) @t199) @t4817)))) % 6.62/6.88 (assume @p3617 (forall @t3404 (= @t4828 @t4827))) % 6.62/6.88 (assume @p3618 (forall @t3404 (= @t4829 (tptp.hAPP @t4813 @t4768)))) % 6.62/6.88 (assume @p3619 (forall @t3404 (=> @t4830 (tptp.c_Wellfounded_Owf @t8 @t4827)))) % 6.62/6.88 (assume @p3620 (forall @t3403 (=> @t3458 @t4832))) % 6.62/6.88 (assume @p3621 (forall @t4491 (= (tptp.hAPP @t4482 @t4823) @t4503))) % 6.62/6.88 (assume @p3622 (forall @t4494 (= @t4833 @t4490))) % 6.62/6.88 (assume @p3623 (forall @t4491 (= @t4490 @t4833))) % 6.62/6.88 (assume @p3624 (forall @t4772 (=> @t4835 @t4834))) % 6.62/6.88 (assume @p3625 (forall @t4836 (=> @t4834 @t4835))) % 6.62/6.88 (assume @p3626 (forall @t4836 (=> @t4838 @t4837))) % 6.62/6.88 (assume @p3627 (forall @t4836 (=> @t4837 @t4838))) % 6.62/6.88 (assume @p3628 (forall (@list @t74 @t45 @t725 @t39 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t3935) @t74)) (tptp.hBOOL (tptp.hAPP @t4564 (tptp.hAPP @t1018 (tptp.hAPP (tptp.c_Relation_OImage @t8 @t39 @t4821) @t942))))))) % 6.62/6.88 (assume @p3629 (forall @t3403 (=> @t4624 (tptp.hBOOL (tptp.hAPP @t4341 @t4831))))) % 6.62/6.88 (assume @p3630 (forall @t4631 (=> @t4832 (=> (= @t4501 @t45) @t3458)))) % 6.62/6.88 (assume @p3631 (forall @t3404 (=> @t4348 (=> @t4633 @t4830)))) % 6.62/6.88 (assume @p3632 (forall @t4491 (= @t4821 (tptp.hAPP @t3880 (tptp.hAPP @t3878 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t3429 @t80) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4839 (tptp.tc_fun @t3429 @t80) @t8) (tptp.c_COMBC @t39 @t3429 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t39 @t3428) @t4839 @t8) (tptp.hAPP (tptp.c_COMBB @t3428 @t3979 @t39) @t3933)) @t4027))) @t725)))))) % 6.62/6.88 (assume @p3633 (forall (@list @t74 @t125 @t45 @t725 @t39 @t8) (=> (tptp.c_Relation_Osingle__valued @t8 @t39 @t4821) (=> (not (= @t45 (tptp.c_Orderings_Obot__class_Obot @t438))) (= @t3414 @t3413))))) % 6.62/6.88 (assume @p3634 (forall @t4842 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3356) @t4378) tptp.c_fequal) @t60) @t109)) (tptp.hBOOL (tptp.hAPP @t3974 @t4841))))) % 6.62/6.88 (assume @p3635 (forall @t14 (tptp.hBOOL (tptp.hAPP @t4449 @t4840)))) % 6.62/6.88 (assume @p3636 (forall @t54 (= (tptp.hAPP @t4813 @t4840) @t4840))) % 6.62/6.88 (assume @p3637 (forall @t4507 (=> @t4506 (=> (tptp.c_Relation_Osingle__valued @t8 @t39 @t2757) @t4843)))) % 6.62/6.88 (assume @p3638 (forall (@list @t2757 @t125 @t725 @t39 @t8) (=> @t4843 (=> (tptp.c_Relation_Osingle__valued @t39 @t125 @t2757) (tptp.c_Relation_Osingle__valued @t8 @t125 @t4395))))) % 6.62/6.88 (assume @p3639 (forall @t54 (tptp.c_Relation_Osingle__valued @t8 @t8 @t4840))) % 6.62/6.88 (assume @p3640 (forall @t118 (= (tptp.hAPP (tptp.c_Relation_OImage @t8 @t8 @t4840) @t45) @t45))) % 6.62/6.88 (assume @p3641 (forall @t4510 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t8 @t39) @t4840) @t200) @t200))) % 6.62/6.88 (assume @p3642 (forall @t4510 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t8 @t39 @t39) @t200) (tptp.c_Relation_OId @t39)) @t200))) % 6.62/6.88 (assume @p3643 (forall @t118 (tptp.c_Relation_Osingle__valued @t8 @t8 @t4353))) % 6.62/6.88 (assume @p3644 (forall @t147 (= (tptp.hBOOL (tptp.hAPP @t3970 @t4840)) @t68))) % 6.62/6.88 (assume @p3645 (forall @t54 (= (tptp.hAPP @t4500 @t4840) @t1021))) % 6.62/6.88 (assume @p3646 (forall @t54 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t3440) @t4840))) % 6.62/6.88 (assume @p3647 (forall @t54 (= (tptp.hAPP @t4486 @t4840) @t1021))) % 6.62/6.88 (assume @p3648 (forall @t4288 (= (tptp.c_Transitive__Closure_Ortrancl @t8 (tptp.hAPP @t4451 @t4840)) @t4774))) % 6.62/6.88 (assume @p3649 (forall @t4288 (= (tptp.hAPP @t4784 @t4840) @t4774))) % 6.62/6.88 (assume @p3650 (forall @t54 (tptp.c_Relation_Orefl__on @t8 @t1021 @t4840))) % 6.62/6.88 (assume @p3651 (forall @t3404 (= (tptp.c_Transitive__Closure_Ortrancl @t8 @t4844) @t4768))) % 6.62/6.88 (assume @p3652 (forall (@list @t142 @t109 @t60 @t725 @t39 @t8) (=> @t4843 (=> (tptp.hBOOL (tptp.hAPP @t3903 @t725)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3902 (tptp.hAPP @t3900 @t142)) @t725)) @t786))))) % 6.62/6.88 (assume @p3653 (forall @t4494 (= @t4843 (forall @t210 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3902 @t4605) @t725)) (forall @t3089 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3902 @t4845) @t725)) (= @t206 @t3088)))))))) % 6.62/6.88 (assume @p3654 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t4303 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t4118)))) % 6.62/6.88 (assume @p3655 (forall @t3404 (= (tptp.hAPP @t4769 @t4840) @t4768))) % 6.62/6.88 (assume @p3656 (forall @t3404 (= (tptp.c_Transitive__Closure_Otrancl @t8 @t4841) @t4768))) % 6.62/6.88 (assume @p3657 (forall @t3404 (= @t4768 (tptp.hAPP (tptp.hAPP @t4344 @t4840) @t4775)))) % 6.62/6.88 (assume @p3658 (forall @t3404 (tptp.c_Relation_Orefl__on @t8 @t1021 @t4841))) % 6.62/6.88 (assume @p3659 (forall @t54 (= @t4840 (tptp.hAPP @t4231 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 tptp.tc_HOL_Obool @t3400) @t3351) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3400 @t4272 @t52) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3401 (tptp.tc_fun @t4272 @t52) @t3400) (tptp.c_COMBB @t3400 tptp.tc_HOL_Obool @t8)) tptp.c_fequal)) @t4352)))))) % 6.62/6.88 (assume @p3660 (forall @t3404 (tptp.c_Relation_Oirrefl @t8 @t4844))) % 6.62/6.88 (assume @p3661 (forall @t4846 (=> (tptp.c_Relation_Osingle__valued @t8 @t8 @t725) (=> @t4790 (=> (tptp.hBOOL (tptp.hAPP @t4789 @t4768)) (or (tptp.hBOOL (tptp.hAPP @t3922 @t4768)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 @t142) @t109)) @t4768)))))))) % 6.62/6.88 (assume @p3662 (forall @t3420 (=> (tptp.c_Relation_Osingle__valued @t8 @t39 (tptp.hAPP @t4816 @t200)) (= @t3419 @t3418)))) % 6.62/6.88 (assume @p3663 (forall @t4634 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 @t4840) @t2757)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 (tptp.hAPP (tptp.hAPP @t4403 (tptp.hAPP (tptp.hAPP @t4446 @t4768) @t2757)) @t725)) @t2757)) (tptp.hBOOL (tptp.hAPP @t4782 @t2757)))))) % 6.62/6.88 (assume @p3664 (forall @t3403 (= (tptp.c_Relation_Ototal__on @t8 @t45 @t4844) @t4847))) % 6.62/6.88 (assume @p3665 (forall @t4851 (=> @t4850 (tptp.hBOOL (tptp.hAPP @t4750 @t4849))))) % 6.62/6.88 (assume @p3666 (forall @t4853 (=> (tptp.c_Relation_Osingle__valued @t8 @t8 @t200) (tptp.c_Relation_Osingle__valued @t8 @t8 @t4852)))) % 6.62/6.88 (assume @p3667 (forall (@list @t2 @t1196 @t39 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t388 @t388) @t1196) (tptp.c_Fun_Ocomp @t39 @t39 @t8 @t2)) (tptp.c_Fun_Ocomp @t39 @t39 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t39 @t39) @t1196) @t2))))) % 6.62/6.88 (assume @p3668 (forall @t4854 (=> (tptp.c_Wellfounded_Owf @t8 @t4852) @t4428))) % 6.62/6.88 (assume @p3669 (forall @t2520 (= (tptp.hAPP @t4857 @t4856) (tptp.hAPP (tptp.hAPP @t4855 @t1304) @t2)))) % 6.62/6.88 (assume @p3670 (forall (@list @t60 @t1196 @t8 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t4858 @t60)) (tptp.hAPP @t4858 @t64)))) % 6.62/6.88 (assume @p3671 (forall @t4288 (= (tptp.hAPP (tptp.hAPP @t4848 @t1193) @t200) @t200))) % 6.62/6.88 (assume @p3672 (forall @t4853 (= (tptp.hAPP @t4415 @t4852) @t4859))) % 6.62/6.88 (assume @p3673 (forall (@list @t200 @t1196 @t2488 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4750 @t4852)) @t4850))) % 6.62/6.88 (assume @p3674 (forall @t4851 (= @t4850 (exists @t2318 @t4860)))) % 6.62/6.88 (assume @p3675 (forall @t4854 (= @t4861 @t4859))) % 6.62/6.88 (assume @p3676 (forall (@list @t200 @t1196 @t307 @t8) (= (tptp.hAPP (tptp.hAPP @t4848 @t2028) @t200) (tptp.hAPP (tptp.hAPP @t4403 (tptp.hAPP (tptp.hAPP @t4848 @t307) @t200)) @t4852)))) % 6.62/6.88 (assume @p3677 (forall @t4288 (= @t4862 @t4840))) % 6.62/6.88 (assume @p3678 (forall @t3404 (tptp.c_Relation_Ototal__on @t8 @t53 @t725))) % 6.62/6.88 (assume @p3679 (forall @t3403 (= (tptp.c_Relation_Ototal__on @t8 @t45 @t4814) @t4847))) % 6.62/6.88 (assume @p3680 (forall @t4736 (tptp.hBOOL (tptp.hAPP @t4812 @t4862)))) % 6.62/6.88 (assume @p3681 (forall @t4795 (=> (tptp.hBOOL (tptp.hAPP @t3974 @t4862)) @t112))) % 6.62/6.88 (assume @p3682 (forall (@list @t1196 @t142 @t200 @t109 @t60 @t8) (=> @t4236 (=> (tptp.hBOOL (tptp.hAPP @t3922 @t4852)) @t4863)))) % 6.62/6.88 (assume @p3683 (forall (@list @t142 @t200 @t1196 @t109 @t60 @t8) (=> (tptp.hBOOL (tptp.hAPP @t3974 @t4852)) (=> (tptp.hBOOL (tptp.hAPP @t3922 @t200)) @t4863)))) % 6.62/6.88 (assume @p3684 (forall (@list @t2 @t1196 @t8) (= (tptp.hAPP (tptp.hAPP @t4855 @t1879) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t8 @t2) @t4858)))) % 6.62/6.88 (assume @p3685 (forall @t2512 (= (tptp.hAPP (tptp.hAPP @t4855 @t2028) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t8 @t4856) @t4858)))) % 6.62/6.88 (assume @p3686 (forall @t1177 (= (tptp.hAPP (tptp.hAPP @t4855 @t1975) @t2) @t4594))) % 6.62/6.88 (assume @p3687 (forall @t4851 (= (tptp.hBOOL (tptp.hAPP @t4750 @t4762)) (exists @t2318 (and @t3064 @t4860))))) % 6.62/6.88 (assume @p3688 (forall @t3403 (= @t4847 (forall @t7 (=> @t130 (forall @t458 (=> @t457 (=> @t1622 (or (tptp.hBOOL (tptp.hAPP @t4462 @t725)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 @t453) @t3)) @t725))))))))))) % 6.62/6.88 (assume @p3689 (forall @t4288 (= @t4774 @t4849))) % 6.62/6.88 (assume @p3690 (forall @t54 (= (tptp.c_Nat_Ofunpow @t8) @t4855))) % 6.62/6.88 (assume @p3691 (forall @t4871 (=> @t4870 (=> @t4869 (not (forall @t4868 (=> @t2130 (=> @t4867 (not (tptp.hBOOL (tptp.hAPP @t4865 @t4864))))))))))) % 6.62/6.88 (assume @p3692 (forall @t4871 (=> @t4870 (=> @t4869 (not (forall @t4868 (=> @t2130 (=> (tptp.hBOOL (tptp.hAPP @t4866 @t4864)) @t4872)))))))) % 6.62/6.88 (assume @p3693 (forall @t3404 (=> @t4747 @t4633))) % 6.62/6.88 (assume @p3694 (forall @t4877 (=> @t4876 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t4084 @t57)) @t4873)) (forall @t641 (=> (tptp.hBOOL (tptp.hAPP @t4875 @t179)) @t1172)))) @t4874)))) % 6.62/6.88 (assume @p3695 (forall @t4877 (=> @t4876 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t3968 @t3)) @t4873)) (forall @t641 (=> (tptp.hBOOL (tptp.hAPP @t4126 @t179)) @t4732)))) @t4874)))) % 6.62/6.88 (assume @p3696 (forall @t4871 (=> @t4863 (exists @t641 (and @t4867 @t4878))))) % 6.62/6.88 (assume @p3697 (forall @t4871 (=> @t4863 (not (forall @t641 (=> @t4867 (not @t4878))))))) % 6.62/6.88 (assume @p3698 (forall @t4871 (=> @t4863 (not (forall @t641 (=> (tptp.hBOOL (tptp.hAPP @t4866 @t4852)) @t4872)))))) % 6.62/6.88 (assume @p3699 (forall @t4795 (=> @t4793 (exists @t3089 (and (tptp.hBOOL (tptp.hAPP @t4880 @t4774)) (tptp.hBOOL (tptp.hAPP @t4879 @t200))))))) % 6.62/6.88 (assume @p3700 (forall @t4795 (=> @t4793 (exists @t3089 (and (tptp.hBOOL (tptp.hAPP @t4880 @t200)) (tptp.hBOOL (tptp.hAPP @t4879 @t4774))))))) % 6.62/6.88 (assume @p3701 (forall (@list @t2488 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4750 @t4840)) (not (forall @t7 (not (= @t2488 @t4085))))))) % 6.62/6.88 (assume @p3702 (forall (@list @t1199 @t2 @t1196 @t307) (=> (forall @t1033 (=> (and @t4881 @t3265) @t3263)) (=> @t1198 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2510) @t1199)) (=> @t3261 (exists @t1033 (and @t4881 @t3260 @t3259)))))))) % 6.62/6.88 (assume @p3703 (forall @t621 (=> @t2605 (= @t403 @t3139)))) % 6.62/6.88 (assume @p3704 (forall @t3404 (= @t4437 (forall (@list @t4882) (=> (exists @t7 @t4884) (exists @t7 (and @t4884 (forall @t641 (=> @t4883 (not (tptp.hBOOL (tptp.hAPP @t817 @t4882)))))))))))) % 6.62/6.88 (assume @p3705 (forall (@list @t194 @t180) (=> (forall @t7 (=> @t2382 (= @t1080 (tptp.hBOOL (tptp.hAPP @t194 @t3))))) (= @t3391 (tptp.hAPP @t3390 (tptp.hAPP @t3389 @t194)))))) % 6.62/6.88 (assume @p3706 (forall (@list @t179 @t180 @t74 @t45 @t8) (=> @t352 (=> (forall @t7 (=> @t130 (=> @t1080 @t4885))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t3321) (tptp.hAPP @t1576 @t3298))))))) % 6.62/6.88 (assume @p3707 (forall @t2571 (=> @t3199 (not (forall @t3258 (=> @t3449 (not @t3450))))))) % 6.62/6.88 (assume @p3708 (forall (@list @t2757 @t725 @t125 @t4886 @t39 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3902 @t4886) @t4393)) (not (forall (@list @t3 @t206 @t3088) (=> (= @t4886 @t4845) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4386 (tptp.hAPP (tptp.hAPP @t4111 @t3) @t206)) @t725)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4381 (tptp.hAPP (tptp.hAPP @t4278 @t206) @t3088)) @t2757)))))))))) % 6.62/6.88 (assume @p3709 (forall (@list @t725 @t4887 @t39 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3902 @t4887) @t4821)) (not (forall @t210 (=> (= @t4887 (tptp.hAPP (tptp.hAPP @t3899 @t206) @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3933 (tptp.hAPP @t3932 @t206)) @t725))))))))) % 6.62/6.88 (assume @p3710 (forall @t4894 (= (tptp.c_Nitpick_Oplus__frac @t8 @t2747 @t725) (tptp.hAPP (tptp.hAPP @t3677 (tptp.c_Nitpick_Oint__lcm @t4893 @t4889)) (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 @t3850 tptp.tc_Int_Oint) (tptp.c_Nitpick_Ofrac @t8)) (tptp.hAPP (tptp.hAPP @t3715 (tptp.hAPP @t3886 (tptp.hAPP (tptp.hAPP @t4892 (tptp.hAPP @t2246 (tptp.hAPP @t4891 @t2747))) (tptp.hAPP @t4890 @t4893)))) (tptp.hAPP (tptp.hAPP @t4892 (tptp.hAPP @t2246 (tptp.hAPP @t4891 @t725))) (tptp.hAPP @t4890 @t4889))))) @t3712))))) % 6.62/6.88 (assume @p3711 (forall @t1351 (=> @t4896 (=> (forall @t7 (=> @t130 (tptp.hBOOL (tptp.hAPP @t4895 @t5)))) (tptp.hBOOL (tptp.hAPP @t4895 @t975)))))) % 6.62/6.88 (assume @p3712 (forall (@list @t2120 @t1471 @t372) (= (tptp.c_Nitpick_Otimes__frac @t372 @t1471 @t2120) (tptp.hAPP (tptp.hAPP @t4499 (tptp.hAPP (tptp.hAPP @t2246 @t4900) (tptp.hAPP @t4899 @t2120))) (tptp.hAPP (tptp.hAPP @t2246 @t4898) (tptp.hAPP @t4897 @t2120)))))) % 6.62/6.88 (assume @p3713 (forall (@list @t1471 @t372 @t3489) (=> (and (tptp.class_Rings_Oinverse @t3489) (tptp.class_Rings_Oring__1 @t3489)) (= (tptp.c_Nitpick_Oof__frac @t372 @t3489 @t1471) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide @t3489) (tptp.hAPP @t4901 @t4900)) (tptp.hAPP @t4901 @t4898)))))) % 6.62/6.88 (assume @p3714 (forall @t4902 (= (tptp.c_Nitpick_Oinverse__frac @t372 @t1471) (tptp.hAPP (tptp.hAPP @t4499 @t4898) @t4900)))) % 6.62/6.88 (assume @p3715 (forall @t4902 (= (tptp.c_Nitpick_Ouminus__frac @t372 @t1471) (tptp.c_Nitpick_OAbs__Frac @t372 (tptp.hAPP (tptp.hAPP @t3892 (tptp.hAPP @t2266 @t4900)) @t4898))))) % 6.62/6.88 (assume @p3716 (forall @t4894 (= (tptp.c_Nitpick_Oless__frac @t8 @t2747 @t725) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t4903) @t2273))))) % 6.62/6.88 (assume @p3717 (forall @t4894 (= (tptp.c_Nitpick_Oless__eq__frac @t8 @t2747 @t725) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t4903) @t2273))))) % 6.62/6.88 (assume @p3718 (forall @t54 (= @t4891 (tptp.hAPP (tptp.c_Fun_Ocomp @t3873 tptp.tc_Int_Oint @t8 @t4193) @t4904)))) % 6.62/6.88 (assume @p3719 (forall @t54 (= @t4888 (tptp.hAPP (tptp.c_Fun_Ocomp @t3873 tptp.tc_Int_Oint @t8 @t4150) @t4904)))) % 6.62/6.88 (assume @p3720 (forall (@list @t125 @t39 @t8) (= (tptp.c_Product__Type_Ointernal__split @t8 @t39 @t125) @t3998))) % 6.62/6.88 (assume @p3721 (forall @t1351 (=> @t4896 (=> (forall @t7 (=> @t130 @t2260)) (tptp.hBOOL (tptp.hAPP @t2208 @t975)))))) % 6.62/6.88 (assume @p3722 (forall (@list @t57 @t13 @t82 @t8 @t125 @t39) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t39 @t125 @t8) @t82) @t4020) @t4022))) % 6.62/6.88 (assume @p3723 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t1975)) % 6.62/6.88 (assume @p3724 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t1975)) % 6.62/6.88 (assume @p3725 (forall (@list @t1426 @t2) (=> (forall @t2318 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t2315) (tptp.hAPP @t2 @t2315)))) (tptp.hBOOL (tptp.hAPP @t1285 (tptp.hAPP @t3280 (tptp.hAPP (tptp.hAPP @t3274 (tptp.hAPP (tptp.hAPP @t4470 @t1144) @t2)) @t1426))))))) % 6.62/6.88 (assume @p3726 (forall @t3404 (= @t4460 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4906 @t4461) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t4461 tptp.c_Wellfounded_Oless__than @t4471)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4461 @t4461 @t4906) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t4461 @t4906) @t4461) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t4461)) @t4905)) (tptp.c_COMBI @t4461)))))) % 6.62/6.88 (assume @p3727 (forall @t4914 (=> (not (= @t4913 @t4912)) (not @t4909)))) % 6.62/6.88 (assume @p3728 (forall (@list @t1196 @t725 @t4915 @t4918 @t8) (=> (tptp.hBOOL (tptp.hAPP @t4923 @t4473)) (and (= @t4919 @t1196) @t4917)))) % 6.62/6.88 (assume @p3729 (forall @t3404 (= @t4460 (tptp.hAPP @t4944 (tptp.hAPP @t4943 (tptp.hAPP (tptp.hAPP @t4942 (tptp.hAPP @t4941 (tptp.hAPP (tptp.hAPP @t4938 (tptp.hAPP @t4935 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t4933 (tptp.hAPP @t4932 (tptp.hAPP (tptp.hAPP @t4928 @t1016) @t4905))) @t4905)))) (tptp.hAPP (tptp.hAPP @t4942 (tptp.hAPP @t4941 (tptp.hAPP (tptp.hAPP @t4938 @t4936) @t4934))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4461 @t4476 @t4927) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4925 (tptp.tc_fun @t4476 @t4927) @t4461) (tptp.c_COMBC @t4461 @t4476 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4926 @t4925 @t4461) (tptp.hAPP (tptp.c_COMBB @t4475 @t4924 @t4461) @t4922)) @t4920))) @t4471)))))))) % 6.62/6.88 (assume @p3730 (forall @t4949 (= (tptp.hAPP @t4905 @t4948) (tptp.hAPP @t2225 (tptp.hAPP @t3280 @t4947))))) % 6.62/6.88 (assume @p3731 (forall @t4474 (= (tptp.hAPP @t4472 @t1879) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4476) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t4956 @t4956) @t4475 (tptp.c_Product__Type_Omap__pair @t4956 @t4461 @t4956 @t4461 @t4955 @t4955)) (tptp.c_Wellfounded_Olex__prod @t8 @t4461 @t725 @t4473))) (tptp.hAPP @t4944 (tptp.hAPP @t4943 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4461 @t4927 @t4927) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t218 @t4940 @t4461) @t4953) (tptp.hAPP @t4936 @t4952))) @t4952))))))) % 6.62/6.88 (assume @p3732 (forall (@list @t371 @t4907 @t4908 @t372) (=> (tptp.hBOOL (tptp.hAPP @t4960 @t4912)) (not (= @t4908 @t4959))))) % 6.62/6.88 (assume @p3733 (forall @t4962 (not (= @t4908 @t4961)))) % 6.62/6.88 (assume @p3734 (forall @t4963 (not (= @t4961 @t4908)))) % 6.62/6.88 (assume @p3735 (forall (@list @t4964 @t4034 @t4965 @t13 @t8) (= (= @t4967 (tptp.hAPP (tptp.hAPP @t4954 @t4034) @t4964)) (and @t4035 (= @t4965 @t4964))))) % 6.62/6.88 (assume @p3736 (forall (@list @t4968 @t403 @t372) (= (tptp.hAPP @t4911 (tptp.hAPP @t4969 @t4968)) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t4911 @t4968)) @t1976)))) % 6.62/6.88 (assume @p3737 (forall @t4977 (= (tptp.hBOOL (tptp.hAPP @t4976 @t4471)) (or (and @t3975 @t4970) (and @t112 (tptp.hBOOL (tptp.hAPP @t4923 @t4471))))))) % 6.62/6.88 (assume @p3738 (forall (@list @t4315 @t45 @t8) (= (tptp.c_List_Oset__Cons @t8 @t45 @t4315) (tptp.hAPP @t4986 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 tptp.tc_HOL_Obool @t4461) @t3351) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4982 @t52 @t4461) (tptp.hAPP (tptp.c_COMBB @t4927 tptp.tc_HOL_Obool @t8) (tptp.c_HOL_OEx @t4461))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4461 @t4982 @t4982) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4985 (tptp.tc_fun @t4982 @t4982) @t4461) (tptp.c_COMBS @t8 @t4927 @t4927)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4984 @t4985 @t4461) (tptp.hAPP (tptp.c_COMBB @t4937 @t4940 @t8) @t4939)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4982 @t4984 @t4461) (tptp.hAPP (tptp.c_COMBB @t4927 @t4937 @t8) @t4936)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4461 @t4983 @t4982) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4981 (tptp.tc_fun @t4983 @t4982) @t4461) (tptp.c_COMBB @t4980 @t4927 @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4927 @t4981 @t4461) (tptp.c_COMBB @t4461 tptp.tc_HOL_Obool @t4461)) tptp.c_fequal))) @t4954))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t4927 @t4927) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t218 @t4940 @t8) @t4953) @t343)) (tptp.hAPP @t4979 @t4315))))))))) % 6.62/6.88 (assume @p3739 (forall (@list @t4908 @t371 @t372 @t1261) (and (=> @t4989 (= @t4988 (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t372) @t371))) (=> (not @t4989) (= @t4988 (tptp.hAPP (tptp.c_Random_Opick @t372 @t4908) (tptp.hAPP @t3883 @t4987))))))) % 6.62/6.88 (assume @p3740 (forall @t4993 (= (tptp.c_Random_Oselect__weight @t8 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t4992) (tptp.hAPP (tptp.hAPP @t4991 @t3843) @t60)) @t4918)) @t4990))) % 6.62/6.88 (assume @p3741 (forall (@list @t725 @t109 @t57 @t60 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP @t4920 @t4999) @t4998)) @t4994)) (or @t3971 (and @t68 @t4997))))) % 6.62/6.88 (assume @p3742 (forall @t4836 (= (tptp.hBOOL (tptp.hAPP @t4996 @t4471)) (and @t4997 @t5002)))) % 6.62/6.88 (assume @p3743 (forall @t5006 (=> @t4790 (=> @t5005 (tptp.hBOOL (tptp.hAPP @t4976 @t5004)))))) % 6.62/6.88 (assume @p3744 (forall (@list @t4965 @t13 @t2203 @t8) (= (tptp.c_List_Olist_Olist__size @t8 @t2203 @t4967) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t5007 (tptp.c_List_Olist_Olist__size @t8 @t2203 @t4965))) @t1976)))) % 6.62/6.88 (assume @p3745 (forall (@list @t4918 @t725 @t60 @t8) (=> @t4377 (=> @t5011 (tptp.hBOOL (tptp.hAPP @t5009 @t5008)))))) % 6.62/6.88 (assume @p3746 (forall @t4343 (=> @t4342 (tptp.hBOOL (tptp.hAPP @t5013 (tptp.c_List_Olistrel1 @t8 @t2757)))))) % 6.62/6.88 (assume @p3747 (forall @t3404 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5012 (tptp.c_List_Olistrel1 @t8 @t4768)) @t5004)))) % 6.62/6.88 (assume @p3748 (forall @t3404 (= @t5015 @t5014))) % 6.62/6.88 (assume @p3749 (forall @t5017 (=> @t5005 (tptp.hBOOL (tptp.hAPP @t5016 @t5004))))) % 6.62/6.88 (assume @p3750 (forall @t5017 (=> @t5018 (tptp.hBOOL (tptp.hAPP @t5016 @t5003))))) % 6.62/6.88 (assume @p3751 (forall @t4836 (=> (tptp.hBOOL (tptp.hAPP @t4996 @t5004)) @t5002))) % 6.62/6.88 (assume @p3752 (forall @t5019 (=> @t5018 @t4970))) % 6.62/6.88 (assume @p3753 (forall @t4836 (= (tptp.hBOOL (tptp.hAPP @t4996 @t5015)) (tptp.hBOOL (tptp.hAPP @t4996 @t5014))))) % 6.62/6.88 (assume @p3754 (forall (@list @t4918 @t725 @t109 @t60 @t8) (=> @t3975 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t4975 (tptp.hAPP @t4971 @t4918))) @t5003))))) % 6.62/6.88 (assume @p3755 (forall @t4977 (= (tptp.hBOOL (tptp.hAPP @t4976 @t5003)) (or (and @t3975 @t5020) (and @t112 @t5018))))) % 6.62/6.88 (assume @p3756 (forall (@list @t4918 @t60 @t725 @t8) (= (tptp.hAPP @t5024 (tptp.hAPP (tptp.hAPP @t5022 @t4974) @t5021)) (tptp.c_List_Oset__Cons @t8 @t3407 (tptp.hAPP @t5024 (tptp.hAPP (tptp.hAPP @t5022 @t4918) @t5021)))))) % 6.62/6.88 (assume @p3757 (forall (@list @t109 @t725 @t8) (=> @t4177 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t5025 @t109)) @t4994)))))) % 6.62/6.88 (assume @p3758 (forall @t5027 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t4921 @t4918)) @t5026)))) % 6.62/6.88 (assume @p3759 (forall @t4343 (=> @t4342 (tptp.hBOOL (tptp.hAPP @t5028 (tptp.c_List_Olistrel @t8 @t2757)))))) % 6.62/6.88 (assume @p3760 (forall @t3404 (tptp.hBOOL (tptp.hAPP @t5028 @t5004)))) % 6.62/6.88 (assume @p3761 (forall @t5019 (=> @t5029 @t4970))) % 6.62/6.88 (assume @p3762 (forall (@list @t5030 @t725 @t4915 @t4918 @t8) (=> @t5032 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t5031 @t5030)) @t5026)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t4921 @t5030)) @t5026)))))) % 6.62/6.88 (assume @p3763 (forall @t3404 (= @t5026 @t5004))) % 6.62/6.88 (assume @p3764 (forall @t5019 (=> @t5018 @t5032))) % 6.62/6.88 (assume @p3765 (forall @t4447 (=> (tptp.hBOOL (tptp.hAPP @t4341 @t3424)) (=> (tptp.c_Relation_Orefl__on @t8 @t1021 @t3424) (tptp.hBOOL (tptp.hAPP @t5013 (tptp.c_List_Olistrel @t8 @t3424))))))) % 6.62/6.88 (assume @p3766 (forall @t5019 (=> @t5029 @t5005))) % 6.62/6.88 (assume @p3767 (forall @t5006 (=> @t3975 (=> @t5029 (tptp.hBOOL (tptp.hAPP @t4976 @t5023)))))) % 6.62/6.88 (assume @p3768 (forall (@list @t4355 @t60 @t725 @t8) (= (tptp.c_List_Olistrelp @t8 @t4378 @t60 @t4355) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t4995 @t4355)) @t5023))))) % 6.62/6.88 (assume @p3769 (forall (@list @t725 @t4915 @t109 @t4918 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t4921 @t4972)) @t5023)) (not (forall (@list @t3 @t5033) (=> (= @t4918 @t5035) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t4084 @t109)) @t725)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP @t4920 @t5033) @t4915)) @t5023)))))))))) % 6.62/6.88 (assume @p3770 (forall (@list @t4915 @t4918 @t8 @t109 @t60 @t725) (=> @t5036 (=> (tptp.c_List_Olistrelp @t8 @t725 @t4918 @t4915) (tptp.c_List_Olistrelp @t8 @t725 @t4974 @t4972))))) % 6.62/6.88 (assume @p3771 (forall (@list @t557 @t192 @t558 @t193 @t725 @t8) (= (tptp.c_List_Olistrelp @t8 @t725 (tptp.hAPP @t5039 @t558) (tptp.hAPP @t5038 @t557)) (and @t5037 (tptp.c_List_Olistrelp @t8 @t725 @t558 @t557))))) % 6.62/6.88 (assume @p3772 (forall (@list @t725 @t4918 @t4915 @t109 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP @t4920 @t4972) @t4918)) @t5023)) (not (forall (@list @t206 @t5040) (=> (= @t4918 (tptp.hAPP @t5041 @t5040)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t3920 @t206)) @t725)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t5031 @t5040)) @t5023)))))))))) % 6.62/6.88 (assume @p3773 (forall @t4631 (=> @t4562 (tptp.hBOOL (tptp.hAPP @t5028 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t4461 @t4461) @t5042) (tptp.hAPP (tptp.c_COMBK @t4927 @t4461) @t5042))))))) % 6.62/6.88 (assume @p3774 (forall @t54 (= (tptp.c_List_Olists @t8 @t1021) @t5043))) % 6.62/6.88 (assume @p3775 (forall @t258 (=> @t352 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5045 @t5042) @t5044))))) % 6.62/6.88 (assume @p3776 (forall @t3403 (=> @t3458 (tptp.c_Equiv__Relations_Oequiv @t4461 @t5042 @t5023)))) % 6.62/6.88 (assume @p3777 (forall @t3403 (=> @t4624 (tptp.c_Relation_Orefl__on @t4461 @t5042 @t5023)))) % 6.62/6.88 (assume @p3778 (forall (@list @t45 @t4918 @t60 @t8) (= (tptp.hBOOL (tptp.hAPP @t5009 @t5042)) (and @t88 @t5046)))) % 6.62/6.88 (assume @p3779 (forall @t5027 (=> @t5047 @t5011))) % 6.62/6.88 (assume @p3780 (forall @t5027 (=> @t5011 @t5047))) % 6.62/6.88 (assume @p3781 (forall @t5019 (= @t5029 (and @t4970 (forall @t2318 (=> @t5054 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t5052 (tptp.hAPP @t5049 @t2315))) @t725)))))))) % 6.62/6.88 (assume @p3782 (forall @t4842 (=> (forall @t4040 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t5055 @t2207)) @t725)) (= @t287 @t2207) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 @t2207) @t287)) @t725)))) (or @t4997 @t112 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t5025 @t60)) @t4994)))))) % 6.62/6.88 (assume @p3783 (forall @t54 (not (tptp.hBOOL (tptp.hAPP @t5056 @t5043))))) % 6.62/6.88 (assume @p3784 (forall @t5059 (= @t5020 (and @t4970 (forall @t1033 (=> @t5058 (= @t5057 (tptp.hAPP @t5049 @t1029)))))))) % 6.62/6.88 (assume @p3785 (forall @t4963 (= (tptp.hAPP @t5061 @t1975) @t371))) % 6.62/6.88 (assume @p3786 (forall (@list @t1211 @t4908 @t371 @t372) (= (tptp.hAPP @t5061 @t1853) @t5063))) % 6.62/6.88 (assume @p3787 (forall (@list @t1196 @t4918 @t60 @t8) (= (tptp.hAPP (tptp.hAPP @t5048 @t4974) @t1196) (tptp.c_Nat_Onat_Onat__case @t8 @t60 @t5050 @t1196)))) % 6.62/6.88 (assume @p3788 (forall @t5065 (and (=> @t1994 (= @t5064 @t371)) (=> @t1995 (= @t5064 (tptp.hAPP @t5062 @t2152)))))) % 6.62/6.88 (assume @p3789 (forall @t5068 (and (=> @t3597 (= @t5066 @t371)) (=> @t5067 (= @t5066 (tptp.hAPP @t5062 @t3454)))))) % 6.62/6.88 (assume @p3790 (forall @t4836 (= @t4997 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t5001) @t5000)) (= (tptp.hAPP (tptp.hAPP @t5069 @t5001) @t109) @t60)) (exists @t1033 (and (tptp.hBOOL (tptp.hAPP @t3264 (tptp.hAPP (tptp.hAPP @t1397 @t5001) @t5000))) (= (tptp.hAPP @t5070 @t60) (tptp.hAPP @t5070 @t109)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 (tptp.hAPP (tptp.hAPP @t5048 @t60) @t1029)) (tptp.hAPP (tptp.hAPP @t5048 @t109) @t1029))) @t725)))))))) % 6.62/6.88 (assume @p3791 (forall @t4949 (= @t5078 (tptp.hAPP @t3290 (tptp.hAPP @t5076 (tptp.hAPP @t5074 @t4947)))))) % 6.62/6.88 (assume @p3792 (forall @t5080 (tptp.hBOOL (tptp.hAPP @t42 @t5079)))) % 6.62/6.88 (assume @p3793 (forall @t5083 (tptp.hBOOL (tptp.hAPP @t5082 @t5081)))) % 6.62/6.88 (assume @p3794 (forall @t5088 (=> @t5087 (= @t5086 @t4908)))) % 6.62/6.88 (assume @p3795 (forall @t5092 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t5091) @t5079)))) % 6.62/6.88 (assume @p3796 (forall (@list @t4918 @t8 @t1196 @t307) (=> @t1250 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP @t5077 (tptp.hAPP (tptp.hAPP @t5069 @t307) @t4918))) @t5091))))) % 6.62/6.88 (assume @p3797 (forall @t4949 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t5078) @t5079)))) % 6.62/6.88 (assume @p3798 (forall (@list @t4908 @t372 @t1211 @t1261) (=> @t5094 (= (tptp.hAPP (tptp.hAPP @t5060 @t5086) @t1261) @t5093)))) % 6.62/6.88 (assume @p3799 (forall @t5098 (=> @t5097 (not @t5095)))) % 6.62/6.88 (assume @p3800 (forall @t5099 (=> (tptp.hBOOL (tptp.hAPP @t87 @t5091)) @t5096))) % 6.62/6.88 (assume @p3801 (forall @t5098 (=> @t5095 @t5096))) % 6.62/6.88 (assume @p3802 (forall (@list @t4918 @t60 @t109 @t8) (=> (tptp.hBOOL (tptp.hAPP @t110 @t5081)) (or @t119 @t5100)))) % 6.62/6.88 (assume @p3803 (forall @t5102 (= (tptp.hAPP @t5101 @t4961) (tptp.hAPP @t4958 @t5086)))) % 6.62/6.88 (assume @p3804 (forall @t5104 (= (tptp.hAPP @t4911 @t5086) (tptp.hAPP @t5103 @t1211)))) % 6.62/6.88 (assume @p3805 (forall @t5106 (= (tptp.hAPP @t5085 @t5105) (tptp.hAPP (tptp.hAPP @t5084 (tptp.hAPP @t2043 @t793)) @t4908)))) % 6.62/6.88 (assume @p3806 (forall @t4993 (= @t5081 @t5107))) % 6.62/6.88 (assume @p3807 (forall (@list @t1196 @t1455 @t8) (= (tptp.c_List_Osublist @t8 @t1455 @t2215) (tptp.hAPP @t5089 @t1455)))) % 6.62/6.88 (assume @p3808 (forall @t5080 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t5108) @t4919)))) % 6.62/6.88 (assume @p3809 (forall @t5115 (= @t5114 @t5112))) % 6.62/6.88 (assume @p3810 (forall @t5118 (=> @t5096 (=> (tptp.hBOOL (tptp.hAPP @t5117 @t64)) (tptp.hBOOL (tptp.hAPP @t5117 @t5116)))))) % 6.62/6.88 (assume @p3811 (forall @t5118 (=> @t5096 (=> (tptp.hBOOL (tptp.hAPP @t2361 @t64)) (tptp.hBOOL (tptp.hAPP @t2361 @t5116)))))) % 6.62/6.88 (assume @p3812 (forall @t5119 (= @t5046 (forall @t7 (=> @t5113 @t130))))) % 6.62/6.88 (assume @p3813 (forall @t4993 (=> @t5096 @t5120))) % 6.62/6.88 (assume @p3814 (forall (@list @t4918 @t8 @t1196) (=> @t5122 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t5121) @t5079))))) % 6.62/6.88 (assume @p3815 (forall @t4993 (= @t5096 (exists @t1033 (and @t5058 (= @t5057 @t60)))))) % 6.62/6.88 (assume @p3816 (forall @t118 (= @t5042 (tptp.hAPP @t4986 @t5126)))) % 6.62/6.88 (assume @p3817 (forall @t5080 (= @t5079 (tptp.hAPP @t3290 (tptp.hAPP @t5076 (tptp.hAPP @t5074 @t4945)))))) % 6.62/6.88 (assume @p3818 (forall @t5129 (=> @t50 (tptp.hBOOL (tptp.hAPP @t5056 (tptp.hAPP @t4986 (tptp.hAPP @t5128 @t5127))))))) % 6.62/6.88 (assume @p3819 (forall @t5129 (=> @t50 (tptp.hBOOL (tptp.hAPP @t5056 (tptp.hAPP @t4986 (tptp.hAPP @t5128 (tptp.hAPP (tptp.hAPP @t4950 (tptp.hAPP (tptp.hAPP @t4928 @t1144) @t4905)) @t1196)))))))) % 6.62/6.88 (assume @p3820 (forall @t5019 (= @t5029 (and @t4970 (forall @t7 (=> @t5132 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4230 @t4378) @t3)))))))) % 6.62/6.88 (assume @p3821 (forall @t5145 (= @t5144 (tptp.hAPP @t3880 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1443 tptp.tc_HOL_Obool @t1065) @t5075) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1065 @t1443 @t1443) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5073 @t4195 @t1065) @t3279) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1443 @t5073 @t1065) @t3278) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1065 @t5139 @t1443) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1066 (tptp.tc_fun @t5139 @t1443) @t1065) (tptp.c_COMBB @t1065 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t39 @t1065) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t3906 tptp.tc_Nat_Onat) @t3899) @t5050)) @t5138))))) (tptp.hAPP @t3275 @t5136))))))) % 6.62/6.88 (assume @p3822 (forall @t5151 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t5150) @t1211) @t5149) (tptp.hAPP (tptp.hAPP @t5147 @t5086) (tptp.hAPP (tptp.hAPP @t5146 @t1211) @t4907))))) % 6.62/6.88 (assume @p3823 (forall (@list @t4907 @t4908 @t3489 @t372) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5150)) @t5149) (tptp.hAPP @t5103 @t5153)))) % 6.62/6.88 (assume @p3824 (forall (@list @t4907 @t381 @t4908 @t371 @t3489 @t372) (= (tptp.hAPP (tptp.hAPP @t5147 @t4961) (tptp.hAPP (tptp.hAPP @t5154 @t381) @t4907)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5150) @t4206) @t5149)))) % 6.62/6.88 (assume @p3825 (forall @t5059 (= @t5020 (and @t4970 (forall @t7 (=> @t5132 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4230 tptp.c_fequal) @t3)))))))) % 6.62/6.88 (assume @p3826 (forall (@list @t4918 @t57 @t13 @t8) (= (tptp.hBOOL (tptp.hAPP @t3970 (tptp.hAPP @t5131 @t5156))) (and @t5155 @t68)))) % 6.62/6.88 (assume @p3827 (forall @t5158 (=> @t5157 @t5096))) % 6.62/6.88 (assume @p3828 (forall @t5158 (=> @t5157 @t5161))) % 6.62/6.88 (assume @p3829 (forall @t5158 (=> @t5157 (not (=> @t5096 (not @t5161)))))) % 6.62/6.88 (assume @p3830 (forall (@list @t4907 @t3489 @t4908 @t372 @t1261) (=> @t5162 (=> (tptp.hBOOL (tptp.hAPP @t1358 @t5153)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t5150) @t5149) @t1261) (tptp.hAPP (tptp.hAPP @t4031 @t5093) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t3489) @t4907) @t1261))))))) % 6.62/6.88 (assume @p3831 (forall @t2461 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1229 @t1228) (tptp.hAPP @t5164 (tptp.c_List_Oupto @t3023 @t5163))))) % 6.62/6.88 (assume @p3832 (forall @t5080 (=> @t444 (= @t5166 (tptp.hAPP (tptp.hAPP @t2236 @t5050) (tptp.hAPP @t2453 @t4919)))))) % 6.62/6.88 (assume @p3833 (forall @t2461 (= @t3024 @t5168))) % 6.62/6.88 (assume @p3834 (forall @t2461 (= @t5168 @t3024))) % 6.62/6.88 (assume @p3835 (forall (@list @t5169) (= (= (tptp.hAPP @t5173 @t5169) @t1975) @t5172))) % 6.62/6.88 (assume @p3836 (forall (@list @t5174 @t1216) (=> @t5180 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t5177) @t5175))))) % 6.62/6.88 (assume @p3837 (forall @t4963 (=> @t1999 (= (tptp.hAPP @t5181 @t4961) (tptp.hAPP @t923 @t5182))))) % 6.62/6.88 (assume @p3838 (forall @t2461 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1229) @t1228) (tptp.hAPP @t5164 (tptp.c_List_Oupto @t1229 @t5163))))) % 6.62/6.88 (assume @p3839 (forall @t2461 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1229 @t1228) (tptp.hAPP @t5164 @t5183)))) % 6.62/6.88 (assume @p3840 (forall @t3787 (= (tptp.c_List_Onat__list @t1455) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t5164 @t1455))))) % 6.62/6.88 (assume @p3841 (forall (@list @t1 @t2 @t4918 @t8) (=> (forall @t7 (=> @t5113 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t5116) (tptp.c_List_Olist_Olist__size @t8 @t1 @t4918)))))) % 6.62/6.88 (assume @p3842 (forall (@list @t1211 @t5174 @t1216) (=> @t5180 (= (tptp.hAPP @t5173 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t5174) @t1216) @t1211)) (tptp.hAPP (tptp.hAPP @t467 (tptp.hAPP (tptp.hAPP @t1223 @t5175) @t1211)) @t5177))))) % 6.62/6.88 (assume @p3843 (forall @t5186 (=> (tptp.hBOOL (tptp.hAPP @t1236 @t4913)) (= (tptp.c_List_Obutlast @t372 @t5086) @t5185)))) % 6.62/6.88 (assume @p3844 (forall @t5190 (=> (tptp.hBOOL (tptp.hAPP @t4960 @t1261)) (= @t5189 @t4908)))) % 6.62/6.88 (assume @p3845 (forall (@list @t371 @t4908 @t372 @t1217 @t1261) @t5195)) % 6.62/6.88 (assume @p3846 (forall @t5196 (= (tptp.hAPP @t5188 @t5093) @t4908))) % 6.62/6.88 (assume @p3847 (forall @t5190 (= (tptp.hAPP @t4911 @t5189) @t4913))) % 6.62/6.88 (assume @p3848 (forall (@list @t371 @t4908 @t372 @t1216) (and (=> @t5203 (= @t5200 @t5197)) (=> @t5204 (= @t5200 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t372 @t5197) @t1216) @t371)))))) % 6.62/6.88 (assume @p3849 (forall (@list @t381 @t4907 @t371 @t1261 @t4908 @t3489 @t372) (= (tptp.hAPP (tptp.hAPP @t5147 @t5189) (tptp.hAPP @t5206 @t381)) (tptp.hAPP @t5205 @t4206)))) % 6.62/6.88 (assume @p3850 (forall (@list @t5207 @t1261 @t4907 @t4908 @t3489 @t372) (= (tptp.hAPP @t5205 @t5207) (tptp.hAPP (tptp.hAPP @t5147 (tptp.hAPP @t5188 (tptp.hAPP @t4204 @t5207))) (tptp.hAPP @t5206 (tptp.hAPP @t4208 @t5207)))))) % 6.62/6.88 (assume @p3851 (forall (@list @t381 @t371 @t1261 @t4908 @t372) (= (tptp.hAPP (tptp.hAPP @t5209 @t1261) @t381) @t5208))) % 6.62/6.88 (assume @p3852 (forall (@list @t5210 @t371 @t4908 @t372 @t5211 @t1261) (=> (not (= @t1261 @t5211)) (= (tptp.hAPP (tptp.hAPP @t5209 @t5211) @t5210) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t372 (tptp.hAPP (tptp.hAPP @t5187 @t5211) @t5210)) @t1261) @t371))))) % 6.62/6.88 (assume @p3853 (forall (@list @t640 @t1229 @t4918 @t60 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t4974) @t1229) @t640) (tptp.c_Nat_Onat_Onat__case @t4461 (tptp.hAPP (tptp.hAPP @t4954 @t640) @t4918) (tptp.hAPP @t5213 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t8 @t4461) @t5212) @t640)) @t1229)))) % 6.62/6.88 (assume @p3854 (forall (@list @t381 @t4908 @t371 @t372) (= (tptp.hAPP (tptp.hAPP @t5216 @t1975) @t381) @t5215))) % 6.62/6.88 (assume @p3855 (forall (@list @t381 @t1261 @t4908 @t371 @t372) (= (tptp.hAPP (tptp.hAPP @t5216 @t1872) @t381) (tptp.hAPP @t4958 @t5208)))) % 6.62/6.88 (assume @p3856 (forall @t4993 (=> @t5218 @t5096))) % 6.62/6.88 (assume @p3857 (forall (@list @t1229 @t60 @t45 @t4918 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5082 @t45)) (=> @t88 (tptp.hBOOL (tptp.hAPP @t5221 @t45)))))) % 6.62/6.88 (assume @p3858 (forall (@list @t60 @t1229 @t4918 @t8) (tptp.hBOOL (tptp.hAPP @t5221 @t5107)))) % 6.62/6.88 (assume @p3859 (forall (@list @t371 @t1217 @t4908 @t372 @t1261) (=> @t5162 (and (=> @t5194 (= @t5193 @t371)) @t5195)))) % 6.62/6.88 (assume @p3860 (forall (@list @t60 @t4918 @t8 @t1229) (=> @t5223 (= (= @t5220 @t4918) (= @t5222 @t60))))) % 6.62/6.88 (assume @p3861 (forall (@list @t371 @t4908 @t372 @t1261) (=> @t5162 (= (tptp.hAPP @t5192 @t1261) @t371)))) % 6.62/6.88 (assume @p3862 (forall @t5186 (=> @t5224 (= (tptp.hAPP @t5085 @t5197) @t5086)))) % 6.62/6.88 (assume @p3863 (forall @t5225 (= (tptp.hAPP @t4911 @t5197) @t5202))) % 6.62/6.88 (assume @p3864 (forall (@list @t60 @t4918 @t8 @t1196) (=> @t5122 (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t5077 (tptp.hAPP (tptp.hAPP @t5212 @t1196) @t60))))))) % 6.62/6.88 (assume @p3865 (forall @t5225 (= @t5197 (tptp.hAPP (tptp.hAPP @t5084 @t5202) @t4908)))) % 6.62/6.88 (assume @p3866 (forall @t5019 (= @t5018 (exists (@list @t206 @t2315) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t5052 @t206)) @t725)) @t5054 (= @t4915 (tptp.hAPP (tptp.hAPP @t5212 @t2315) @t206))))))) % 6.62/6.88 (assume @p3867 (forall (@list @t1229 @t13 @t4918 @t8) (=> @t5228 (=> (not (tptp.hBOOL (tptp.hAPP @t66 (tptp.hAPP @t5227 (tptp.hAPP (tptp.hAPP @t46 @t5222) @t53))))) (tptp.hBOOL (tptp.hAPP @t5226 (tptp.hAPP @t5219 @t13))))))) % 6.62/6.88 (assume @p3868 (forall @t1369 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t5229)))) % 6.62/6.88 (assume @p3869 (forall @t5196 (=> @t5233 (tptp.hBOOL (tptp.hAPP @t5232 @t5231))))) % 6.62/6.88 (assume @p3870 (forall @t4949 (=> @t5228 (tptp.hBOOL (tptp.hAPP @t5226 @t4948))))) % 6.62/6.88 (assume @p3871 (forall @t5235 (=> @t5233 (tptp.hBOOL (tptp.hAPP @t5234 @t5149))))) % 6.62/6.88 (assume @p3872 (forall (@list @t4908 @t3489 @t4907 @t372) (=> (tptp.hBOOL (tptp.hAPP @t5232 @t4907)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_prod @t3489 @t372)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t3489 @t372) @t4908) @t4907)))))) % 6.62/6.88 (assume @p3873 (forall @t4993 (= (tptp.hBOOL (tptp.hAPP @t5226 @t4974)) @t5236))) % 6.62/6.88 (assume @p3874 (forall @t5080 (=> @t5237 @t5228))) % 6.62/6.88 (assume @p3875 (forall @t5080 (=> @t5228 @t5237))) % 6.62/6.88 (assume @p3876 (forall @t5080 (= @t5228 (forall @t1033 (=> @t5058 (forall @t2133 (=> @t5239 (=> (not (= @t1029 @t2131)) (not (= @t5057 @t5238)))))))))) % 6.62/6.88 (assume @p3877 (forall @t5242 (=> @t5228 (=> @t5223 (=> (tptp.hBOOL (tptp.hAPP @t5241 @t4919)) (= (= @t5222 @t5240) (= @t1229 @t1228))))))) % 6.62/6.88 (assume @p3878 (forall @t5080 (=> @t444 (=> @t5228 (= @t5166 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t8 @t8) @t251) @t5079)))))) % 6.62/6.88 (assume @p3879 (forall @t118 (and (=> @t50 (= @t5243 (tptp.hAPP @t4905 @t5244))) (=> @t1350 (= @t5243 @t1975))))) % 6.62/6.88 (assume @p3880 (forall (@list @t4907 @t4908 @t372 @t1216) (=> (tptp.hBOOL (tptp.hAPP @t1273 @t4913)) (=> (tptp.hBOOL (tptp.hAPP @t1273 @t4912)) (=> (forall @t1033 (=> (tptp.hBOOL (tptp.hAPP @t3264 @t1216)) (= @t5247 (tptp.hAPP @t5246 @t1029)))) (= (tptp.hAPP @t5245 @t4908) (tptp.hAPP @t5245 @t4907))))))) % 6.62/6.88 (assume @p3881 (forall @t5083 (=> @t5228 (= @t5250 @t5248)))) % 6.62/6.88 (assume @p3882 (forall @t5068 (and (=> @t3597 (= @t5251 @t5252)) (=> @t5067 (= @t5251 (tptp.hAPP @t4958 (tptp.hAPP (tptp.hAPP @t5084 @t3454) @t4908))))))) % 6.62/6.88 (assume @p3883 (forall @t118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4978 @t5253) @t5042)))) % 6.62/6.88 (assume @p3884 (forall @t5027 (=> (tptp.hBOOL (tptp.hAPP @t5256 @t5023)) @t5254))) % 6.62/6.88 (assume @p3885 (forall @t5027 (=> (tptp.hBOOL (tptp.hAPP @t5257 @t5023)) @t5254))) % 6.62/6.88 (assume @p3886 (forall @t5260 (=> @t5259 (=> @t5233 (tptp.hBOOL (tptp.hAPP @t5232 @t5197)))))) % 6.62/6.88 (assume @p3887 (forall @t5262 (=> @t5233 (tptp.hBOOL (tptp.hAPP @t5232 @t5261))))) % 6.62/6.88 (assume @p3888 (forall @t1171 (tptp.hBOOL (tptp.hAPP @t5232 @t5252)))) % 6.62/6.88 (assume @p3889 (forall @t1171 (= (tptp.c_List_Obutlast @t372 @t5252) @t5252))) % 6.62/6.88 (assume @p3890 (forall @t4962 (and (=> @t5258 (= @t5263 @t5252)) (=> @t5259 (= @t5263 (tptp.hAPP @t4958 @t5197)))))) % 6.62/6.88 (assume @p3891 (forall @t5266 (not (= @t5252 @t5265)))) % 6.62/6.88 (assume @p3892 (forall @t5266 (not (= @t5265 @t5252)))) % 6.62/6.88 (assume @p3893 (forall @t5268 (and (=> @t398 (= @t5267 @t4908)) (=> @t683 (= @t5267 (tptp.hAPP @t5214 @t5261)))))) % 6.62/6.88 (assume @p3894 (forall @t1368 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t1217) @t1261)) @t5270))) % 6.62/6.88 (assume @p3895 (forall @t5092 (= (= @t5090 @t5253) (or @t1987 @t5254)))) % 6.62/6.88 (assume @p3896 (forall @t5225 (= (tptp.hAPP (tptp.hAPP @t5084 @t1975) @t4908) @t5252))) % 6.62/6.88 (assume @p3897 (forall @t1524 (= (tptp.hAPP @t5085 @t5252) @t5252))) % 6.62/6.88 (assume @p3898 (forall @t118 (= (tptp.c_List_Osublist @t8 @t5253 @t45) @t5253))) % 6.62/6.88 (assume @p3899 (forall @t5272 (= (tptp.c_List_Oremove1 @t372 @t371 (tptp.c_List_Oremove1 @t372 @t381 @t5271)) (tptp.c_List_Oremove1 @t372 @t381 (tptp.c_List_Oremove1 @t372 @t371 @t5271))))) % 6.62/6.88 (assume @p3900 (forall @t376 (= (tptp.c_List_Oremove1 @t372 @t371 @t5252) @t5252))) % 6.62/6.88 (assume @p3901 (forall @t3404 (tptp.c_List_Olistrelp @t8 @t725 @t5253 @t5253))) % 6.62/6.88 (assume @p3902 (forall (@list @t4907 @t3489 @t372) (= (tptp.hAPP (tptp.hAPP @t5147 @t5252) @t4907) @t5273))) % 6.62/6.88 (assume @p3903 (forall (@list @t4908 @t3489 @t372) (= (tptp.hAPP @t5148 @t5274) @t5273))) % 6.62/6.88 (assume @p3904 (forall @t1171 (=> @t1999 (= (tptp.hAPP @t5181 @t5252) @t1991)))) % 6.62/6.88 (assume @p3905 (forall @t5080 (= (= @t4919 @t1975) @t5254))) % 6.62/6.88 (assume @p3906 (forall @t1171 (= (tptp.hAPP @t4911 @t5252) @t1975))) % 6.62/6.88 (assume @p3907 (forall @t5080 (= (= @t5079 @t53) @t5254))) % 6.62/6.88 (assume @p3908 (forall @t5080 (= (= @t53 @t5079) @t5254))) % 6.62/6.88 (assume @p3909 (forall @t54 (= (tptp.hAPP @t5077 @t5253) @t53))) % 6.62/6.88 (assume @p3910 (forall @t5275 (= (tptp.c_List_Olist_Olist__size @t8 @t2203 @t5253) @t1975))) % 6.62/6.88 (assume @p3911 (forall (@list @t381 @t1261 @t372) (= (tptp.hAPP @t5276 @t381) @t5252))) % 6.62/6.88 (assume @p3912 (forall (@list @t2191 @t1261 @t372) (= (tptp.hAPP @t5276 @t2191) @t5252))) % 6.62/6.88 (assume @p3913 (forall (@list @t60 @t1199 @t4918 @t8) (= (= (tptp.hAPP (tptp.hAPP @t5212 @t1199) @t60) @t5253) @t5254))) % 6.62/6.88 (assume @p3914 (forall @t4993 (=> @t5097 (= @t5249 @t4918)))) % 6.62/6.88 (assume @p3915 (forall @t5277 (=> @t5097 (not (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t5077 (tptp.c_List_Oremove1 @t8 @t109 @t4918)))))))) % 6.62/6.88 (assume @p3916 (forall (@list @t4918 @t8 @t57 @t13) (=> @t69 (= (tptp.hBOOL (tptp.hAPP @t66 (tptp.hAPP @t5077 (tptp.c_List_Oremove1 @t8 @t57 @t4918)))) @t5155)))) % 6.62/6.88 (assume @p3917 (forall @t5080 (= (tptp.c_List_Osublist @t8 @t4918 @t2227) @t5253))) % 6.62/6.88 (assume @p3918 (forall @t4993 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t5250) @t5079)))) % 6.62/6.88 (assume @p3919 (forall @t5080 (= @t5120 @t5278))) % 6.62/6.88 (assume @p3920 (forall @t4963 (= (tptp.hAPP (tptp.hAPP @t5084 @t1193) @t4961) @t5279))) % 6.62/6.88 (assume @p3921 (forall @t5027 (not (tptp.hBOOL (tptp.hAPP @t5256 @t5003))))) % 6.62/6.88 (assume @p3922 (forall @t5027 (not (tptp.hBOOL (tptp.hAPP @t5257 @t5003))))) % 6.62/6.88 (assume @p3923 (forall @t3404 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 @t5280) @t5023)))) % 6.62/6.88 (assume @p3924 (forall @t3409 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t4995 @t5253)) @t4994))))) % 6.62/6.88 (assume @p3925 (forall (@list @t725 @t4915 @t8) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t5255 @t4915)) @t4471))))) % 6.62/6.88 (assume @p3926 (forall @t5027 (not (tptp.hBOOL (tptp.hAPP @t5257 @t4471))))) % 6.62/6.88 (assume @p3927 (forall @t5282 (= (tptp.hAPP @t5089 @t4974) (tptp.c_Nat_Onat_Onat__case @t4461 @t5253 (tptp.hAPP @t5213 (tptp.hAPP (tptp.hAPP @t5281 @t5069) @t4918)) @t1196)))) % 6.62/6.88 (assume @p3928 (forall @t1369 (and (=> @t2431 (= @t5229 (tptp.hAPP (tptp.hAPP @t5284 @t1261) (tptp.c_List_Oupto @t5283 @t1217)))) (=> (not @t2431) @t5270)))) % 6.62/6.88 (assume @p3929 (forall (@list @t60 @t8 @t45) (and (=> @t5288 (= @t5286 @t5285)) (=> (not @t5288) (= @t5286 @t5253))))) % 6.62/6.88 (assume @p3930 (forall @t54 (= (tptp.c_List_Olists @t8 @t53) @t5289))) % 6.62/6.88 (assume @p3931 (forall @t5065 (and (=> @t1994 (= @t5290 @t5252)) (=> @t1995 (= @t5290 (tptp.hAPP @t4958 @t5185)))))) % 6.62/6.88 (assume @p3932 (forall @t1227 (and (=> @t5293 (= @t5292 (tptp.hAPP (tptp.hAPP @t5284 @t5291) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t2303 @t5291) @t2270) @t3812)))) (=> (not @t5293) (= @t5292 @t5269))))) % 6.62/6.88 (assume @p3933 (forall @t3404 (= (tptp.hAPP @t5024 @t5289) @t5289))) % 6.62/6.88 (assume @p3934 (forall @t118 (= (tptp.c_List_Oset__Cons @t8 @t45 @t5289) (tptp.hAPP (tptp.c_Set_Oimage @t8 @t4461 @t5296) @t45)))) % 6.62/6.88 (assume @p3935 (forall @t4993 (and (=> @t5096 (= @t5297 (tptp.hAPP (tptp.hAPP @t467 @t4919) @t1193))) (=> @t5097 (= @t5297 @t4919))))) % 6.62/6.88 (assume @p3936 (forall @t2461 (=> (tptp.hBOOL (tptp.hAPP @t5299 (tptp.hAPP (tptp.hAPP @t3892 @t1229) @t1228))) (and (=> @t5298 (= @t5167 (tptp.hAPP (tptp.hAPP @t5284 @t1229) @t5183))) (=> (not @t5298) (= @t5167 @t5269)))))) % 6.62/6.88 (assume @p3937 (forall (@list @t2757 @t8 @t4918) (=> @t5278 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t5301 (tptp.hAPP @t5300 @t2757))) @t5079))))) % 6.62/6.88 (assume @p3938 (forall @t54 (= (tptp.c_List_Olistset @t8 (tptp.c_List_Olist_ONil @t52)) @t5289))) % 6.62/6.88 (assume @p3939 (forall (@list @t4915 @t109 @t4918 @t39 @t8) (= (tptp.hAPP @t5141 @t5309) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5302 @t8 @t5306 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5305 @t5305) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5304 (tptp.tc_fun @t5305 @t5305) @t8) (tptp.c_COMBB @t5302 @t5302 @t4461)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1065 @t5304 @t8) @t5303) (tptp.hAPP @t4557 @t109)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4461 @t5133 @t5302) @t5140) @t4915))) @t4918)))) % 6.62/6.88 (assume @p3940 (forall (@list @t4965 @t13 @t3079 @t169 @t39 @t8) (= (tptp.hAPP @t5311 (tptp.hAPP (tptp.hAPP @t5307 @t13) @t4965)) (tptp.hAPP @t5310 @t4965)))) % 6.62/6.88 (assume @p3941 (forall @t5313 (= (tptp.hAPP @t5311 @t5312) @t169))) % 6.62/6.88 (assume @p3942 (forall (@list @t5314 @t45 @t8) (= (tptp.c_List_Olistset @t8 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t52) @t45) @t5314)) (tptp.c_List_Oset__Cons @t8 @t45 (tptp.c_List_Olistset @t8 @t5314))))) % 6.62/6.88 (assume @p3943 (forall @t5316 (= (tptp.hAPP (tptp.hAPP @t5140 @t4974) @t4915) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5302 @t39 @t5306 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t5315 @t5315) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5304 (tptp.tc_fun @t5315 @t5315) @t39) (tptp.c_COMBB @t5302 @t5302 @t5133)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1065 @t5304 @t39) @t5303) @t3900))) @t5141)) @t4915)))) % 6.62/6.88 (assume @p3944 (forall @t520 (=> @t665 (=> @t50 (= @t5318 (tptp.c_List_Oremove1 @t8 @t60 @t5317)))))) % 6.62/6.88 (assume @p3945 (forall @t4171 (=> (tptp.hBOOL (tptp.hAPP @t5299 @t4170)) (=> (forall @t2740 (=> (tptp.hBOOL (tptp.hAPP @t5299 (tptp.hAPP (tptp.hAPP @t3892 @t1029) @t2131))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t1029) @t2131)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 @t5319) @t2131))) @t3092))) @t4164)))) % 6.62/6.88 (assume @p3946 (forall @t54 (=> @t665 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t53) @t5253)))) % 6.62/6.88 (assume @p3947 (forall @t4767 (and (=> @t4765 (= @t5327 @t5326)) (=> @t4766 (= @t5327 (tptp.c_Option_Ooption_Ooption__case @t5322 @t1065 @t5326 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t39 @t5322) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5323 @t5323) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5325 (tptp.tc_fun @t5323 @t5323) @t8) (tptp.c_COMBB @t5322 @t5322 @t39)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5324 @t5325 @t8) (tptp.c_Product__Type_Oprod_Oprod__case @t4461 @t39 @t5322)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4980 @t5324 @t8) (tptp.hAPP (tptp.c_COMBB @t4461 @t5323 @t4461) @t5321)) @t4954)))) (tptp.hAPP @t5320 @t4763))) @t64)))))) % 6.62/6.88 (assume @p3948 (forall (@list @t45 @t1455 @t60 @t8) (= (tptp.c_List_Osublist @t8 @t5329 @t45) (tptp.hAPP (tptp.hAPP @t5328 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t4461) @t5287) @t5285) @t5253)) (tptp.c_List_Osublist @t8 @t1455 (tptp.hAPP @t3280 (tptp.hAPP @t3285 @t45))))))) % 6.62/6.88 (assume @p3949 (forall (@list @t4918 @t60 @t5030 @t4915 @t8) (= (= @t5336 @t4974) (or (and @t5334 (= @t5030 @t4974)) (exists @t5333 (and (= @t4915 @t5332) (= @t5331 @t4918))))))) % 6.62/6.88 (assume @p3950 (forall (@list @t5030 @t4915 @t4918 @t60 @t8) (= (= @t4974 @t5336) (or (and @t5334 (= @t4974 @t5030)) (exists @t5333 (and (= @t5332 @t4915) (= @t4918 @t5331))))))) % 6.62/6.88 (assume @p3951 (forall (@list @t109 @t4915 @t60 @t4918 @t8) (= (= @t5340 @t5338) (and @t5020 @t112)))) % 6.62/6.88 (assume @p3952 (forall @t5344 (= (tptp.hAPP (tptp.hAPP @t5341 @t4961) @t4907) (tptp.hAPP @t4958 @t5343)))) % 6.62/6.88 (assume @p3953 (forall (@list @t5271 @t4908 @t4907 @t5346 @t371 @t372) (=> (= (tptp.hAPP @t4958 @t5346) @t4907) (=> (= @t4908 (tptp.hAPP @t5347 @t5271)) (= @t4961 @t5345))))) % 6.62/6.88 (assume @p3954 (forall (@list @t45 @t4915 @t4918 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4978 @t5349) @t5042)) (and @t5046 (tptp.hBOOL (tptp.hAPP @t5348 @t5042)))))) % 6.62/6.88 (assume @p3955 (forall (@list @t5350 @t4907 @t5271 @t5346 @t4908 @t372) (=> (= (tptp.hAPP @t5342 @t5346) @t5271) (=> (= @t4907 (tptp.hAPP @t5347 @t5350)) (= @t5343 (tptp.hAPP (tptp.hAPP @t5341 @t5271) @t5350)))))) % 6.62/6.88 (assume @p3956 (forall (@list @t5030 @t4918 @t4915 @t8) (= (= (tptp.hAPP @t5335 @t4918) (tptp.hAPP @t5352 @t4918)) @t5351))) % 6.62/6.88 (assume @p3957 (forall @t5353 (= (= @t5349 (tptp.hAPP @t5339 @t5030)) @t5351))) % 6.62/6.88 (assume @p3958 (forall (@list @t24 @t5030 @t4915 @t4918 @t8) (= (= @t5349 (tptp.hAPP @t5352 @t24)) (exists (@list @t5354) (or (and (= @t4918 (tptp.hAPP @t5352 @t5354)) (= (tptp.hAPP @t5355 @t4915) @t24)) (and (= (tptp.hAPP @t5339 @t5354) @t5030) (= @t4915 (tptp.hAPP @t5355 @t24)))))))) % 6.62/6.88 (assume @p3959 (forall (@list @t5271 @t4907 @t4908 @t372) (= (tptp.hAPP (tptp.hAPP @t5341 @t5343) @t5271) (tptp.hAPP @t5342 @t5345)))) % 6.62/6.88 (assume @p3960 (forall @t4914 (=> @t1999 (= (tptp.hAPP @t5181 @t5343) (tptp.hAPP (tptp.hAPP @t577 @t5182) (tptp.hAPP @t5181 @t4907)))))) % 6.62/6.88 (assume @p3961 (forall @t4914 (= (tptp.hAPP @t4911 @t5343) @t5357))) % 6.62/6.88 (assume @p3962 (forall (@list @t5358 @t4907 @t5350 @t3489 @t4908 @t372) (=> (= @t4913 (tptp.hAPP @t5152 @t5350)) (=> (= @t4912 (tptp.hAPP @t5152 @t5358)) (= (tptp.hAPP @t5362 (tptp.hAPP (tptp.hAPP @t5361 @t5350) @t5358)) (tptp.hAPP (tptp.hAPP @t5360 (tptp.hAPP @t5148 @t5350)) (tptp.hAPP @t5359 @t5358))))))) % 6.62/6.88 (assume @p3963 (forall @t5365 (= (tptp.hAPP @t5077 @t5349) @t5364))) % 6.62/6.88 (assume @p3964 (forall @t5367 (= @t5366 @t4907))) % 6.62/6.88 (assume @p3965 (forall @t5365 (= (= @t5253 @t5349) @t5368))) % 6.62/6.88 (assume @p3966 (forall @t5225 (= (tptp.hAPP @t5342 @t5252) @t4908))) % 6.62/6.88 (assume @p3967 (forall (@list @t4915 @t8 @t4918) (= (= @t4918 @t5349) @t5334))) % 6.62/6.88 (assume @p3968 (forall (@list @t4918 @t8 @t4915) (= (= @t4915 @t5349) @t5254))) % 6.62/6.88 (assume @p3969 (forall @t5365 (= (= @t5349 @t5253) @t5368))) % 6.62/6.88 (assume @p3970 (forall @t5365 (= (= @t5349 @t4918) @t5334))) % 6.62/6.88 (assume @p3971 (forall @t5365 (= (= @t5349 @t4915) @t5254))) % 6.62/6.88 (assume @p3972 (forall (@list @t372 @t4907 @t4908) (=> @t4909 (= @t4908 @t5366)))) % 6.62/6.88 (assume @p3973 (forall @t5372 (and (=> @t5370 (= @t5369 @t5197)) (=> @t5371 (= @t5369 (tptp.hAPP @t5342 (tptp.c_List_Obutlast @t372 @t4907))))))) % 6.62/6.88 (assume @p3974 (forall (@list @t4907 @t371 @t4908 @t372) (= (tptp.hAPP (tptp.hAPP @t5060 @t5373) @t4913) @t371))) % 6.62/6.88 (assume @p3975 (forall (@list @t1211 @t4907 @t4908 @t372) (= (tptp.hAPP @t5374 (tptp.hAPP @t5356 @t1211)) (tptp.hAPP @t5246 @t1211)))) % 6.62/6.88 (assume @p3976 (forall @t5377 (= (tptp.hAPP @t5085 @t5343) (tptp.hAPP @t5376 (tptp.hAPP (tptp.hAPP @t5084 @t5375) @t4907))))) % 6.62/6.88 (assume @p3977 (forall (@list @t371 @t4907 @t4908 @t372 @t1261) (=> @t5162 (= (tptp.hAPP (tptp.hAPP @t5378 @t1261) @t371) (tptp.hAPP (tptp.hAPP @t5341 @t5189) @t4907))))) % 6.62/6.88 (assume @p3978 (forall (@list @t381 @t4907 @t371 @t4908 @t372) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t372 @t5373) @t4913) @t381) (tptp.hAPP @t5342 @t5379)))) % 6.62/6.88 (assume @p3979 (forall @t5381 (and (=> @t5096 (= @t5380 (tptp.hAPP (tptp.hAPP @t5328 @t5249) @t4915))) (=> @t5097 (= @t5380 (tptp.hAPP @t5339 (tptp.c_List_Oremove1 @t8 @t60 @t4915))))))) % 6.62/6.88 (assume @p3980 (forall @t5381 (=> (or @t5218 (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t5077 @t5382)))) (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t5077 (tptp.c_List_Obutlast @t8 @t5349))))))) % 6.62/6.88 (assume @p3981 (forall @t5262 (= (tptp.c_List_Obutlast @t372 @t5383) @t4908))) % 6.62/6.88 (assume @p3982 (forall (@list @t5384 @t5385 @t725 @t4915 @t4918 @t8) (=> (or (and @t5018 (= @t5385 @t5384)) (and @t5020 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP @t4920 @t5385) @t5384)) @t5003)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP @t4920 @t5386) (tptp.hAPP @t5335 @t5384))) @t5003))))) % 6.62/6.88 (assume @p3983 (forall (@list @t60 @t725 @t640 @t1426 @t8) (=> @t5389 @t5388))) % 6.62/6.88 (assume @p3984 (forall @t5365 (= (tptp.hBOOL (tptp.hAPP @t5226 @t5349)) (and @t5228 @t5390 (= (tptp.hAPP (tptp.hAPP @t1551 @t5079) @t5363) @t53))))) % 6.62/6.88 (assume @p3985 (forall (@list @t4907 @t4908 @t372 @t1211) (and (=> @t5224 (= @t5391 @t5063)) (=> @t5392 (= @t5391 (tptp.hAPP @t5246 @t5375)))))) % 6.62/6.88 (assume @p3986 (forall (@list @t371 @t4907 @t4908 @t372 @t1211) (and (=> @t5224 (= @t5393 (tptp.hAPP (tptp.hAPP @t5341 (tptp.hAPP (tptp.hAPP @t5187 @t1211) @t371)) @t4907))) (=> @t5392 (= @t5393 (tptp.hAPP @t5342 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t372 @t4907) @t5375) @t371))))))) % 6.62/6.88 (assume @p3987 (forall (@list @t45 @t5394 @t1455 @t8) (= (tptp.c_List_Osublist @t8 (tptp.hAPP (tptp.hAPP @t5328 @t1455) @t5394) @t45) (tptp.hAPP (tptp.hAPP @t5328 (tptp.c_List_Osublist @t8 @t1455 @t45)) (tptp.c_List_Osublist @t8 @t5394 (tptp.hAPP @t3280 (tptp.hAPP (tptp.hAPP @t3276 (tptp.hAPP @t3284 (tptp.hAPP @t1243 (tptp.hAPP @t4905 @t1455)))) @t45))))))) % 6.62/6.88 (assume @p3988 (forall (@list @t4915 @t5384 @t5385 @t4918 @t725 @t109 @t60 @t8) (=> @t3975 (=> (= @t4918 (tptp.hAPP @t5395 (tptp.hAPP @t4973 @t5384))) (=> (= @t4915 (tptp.hAPP @t5395 (tptp.hAPP @t4971 @t5384))) @t5018))))) % 6.62/6.88 (assume @p3989 (forall (@list @t109 @t60 @t1426 @t725 @t57 @t13 @t8) (=> @t3971 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP @t4920 (tptp.hAPP @t5396 @t4999)) (tptp.hAPP @t5396 @t4998))) @t4994))))) % 6.62/6.88 (assume @p3990 (forall @t5399 (=> @t5162 (= (tptp.hAPP (tptp.hAPP @t5084 @t1872) @t4908) (tptp.hAPP @t5398 (tptp.hAPP @t5397 @t5252)))))) % 6.62/6.88 (assume @p3991 (forall (@list @t725 @t109 @t4915 @t60 @t4918 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP @t4920 @t5340) @t5338)) @t5003)) (or (and @t5018 @t112) (and @t5020 @t3975))))) % 6.62/6.88 (assume @p3992 (forall @t5019 (=> @t5018 (not (forall @t210 (=> @t4127 (forall @t5401 (=> (= @t4918 (tptp.hAPP @t5355 (tptp.hAPP @t5034 @t5400))) (not (= @t4915 (tptp.hAPP @t5355 (tptp.hAPP @t5041 @t5400)))))))))))) % 6.62/6.88 (assume @p3993 (forall (@list @t725 @t640 @t1426 @t60 @t8) (=> @t5388 (=> (forall @t649 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t5055 @t287)) @t725)))) @t5389)))) % 6.62/6.88 (assume @p3994 (forall @t5080 (= @t5405 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4461 @t8 @t5253 (tptp.hAPP (tptp.hAPP @t5403 @t5402) @t5296)) @t4918)))) % 6.62/6.88 (assume @p3995 (forall (@list @t403 @t4908 @t372 @t1261) (=> @t5162 (= (tptp.hAPP @t5188 @t403) (tptp.hAPP @t5398 (tptp.hAPP @t4969 @t5407)))))) % 6.62/6.88 (assume @p3996 (forall @t5104 (= (tptp.hAPP @t5376 @t5409) @t4908))) % 6.62/6.88 (assume @p3997 (forall @t4963 (= (tptp.hAPP (tptp.hAPP @t5406 @t1193) @t4961) @t4908))) % 6.62/6.88 (assume @p3998 (forall @t5102 (= (tptp.hAPP @t5410 @t4961) @t5409))) % 6.62/6.88 (assume @p3999 (forall (@list @t4907 @t381 @t4908 @t1211 @t372) (=> (= @t5409 @t5379) (= @t5063 @t381)))) % 6.62/6.88 (assume @p4000 (forall @t5196 (=> @t5233 (tptp.hBOOL (tptp.hAPP @t5232 @t5412))))) % 6.62/6.88 (assume @p4001 (forall @t5080 (= (tptp.hBOOL (tptp.hAPP @t5226 @t5405)) @t5228))) % 6.62/6.88 (assume @p4002 (forall @t5104 (= @t5414 @t5413))) % 6.62/6.88 (assume @p4003 (forall @t5104 (= @t5413 @t5414))) % 6.62/6.88 (assume @p4004 (forall @t5106 (= (tptp.hAPP @t5408 @t5105) (tptp.hAPP (tptp.hAPP @t5084 @t1222) @t5409)))) % 6.62/6.88 (assume @p4005 (forall @t5106 (= (tptp.hAPP @t5085 @t5416) (tptp.hAPP @t5415 (tptp.hAPP (tptp.hAPP @t5084 @t1241) @t4908))))) % 6.62/6.88 (assume @p4006 (forall @t5225 (= (tptp.hAPP (tptp.hAPP @t5406 @t1975) @t4908) @t4908))) % 6.62/6.88 (assume @p4007 (forall @t5106 (= (tptp.hAPP @t5408 @t5416) (tptp.hAPP (tptp.hAPP @t5406 @t1241) @t4908)))) % 6.62/6.88 (assume @p4008 (forall @t5151 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t5150) @t1211) @t5149) (tptp.hAPP (tptp.hAPP @t5147 @t5409) (tptp.hAPP (tptp.hAPP @t5417 @t1211) @t4907))))) % 6.62/6.88 (assume @p4009 (forall @t5104 (= (tptp.hAPP @t4911 @t5409) (tptp.hAPP @t5201 @t1211)))) % 6.62/6.88 (assume @p4010 (forall @t5225 (= (tptp.hAPP @t4911 @t5419) @t4913))) % 6.62/6.88 (assume @p4011 (forall @t5080 (= (tptp.hAPP @t5077 @t5405) @t5079))) % 6.62/6.88 (assume @p4012 (forall @t5099 (=> (tptp.hBOOL (tptp.hAPP @t87 @t5423)) @t5096))) % 6.62/6.88 (assume @p4013 (forall @t5092 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t5423) @t5079)))) % 6.62/6.88 (assume @p4014 (forall @t1524 (= (tptp.hAPP @t5408 @t5252) @t5252))) % 6.62/6.88 (assume @p4015 (forall @t5080 (= (= @t5405 @t5253) @t5254))) % 6.62/6.88 (assume @p4016 (forall (@list @t4918 @t8 @t307 @t1196) (=> @t1887 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP @t5077 (tptp.hAPP (tptp.hAPP @t5420 @t307) @t4918))) @t5423))))) % 6.62/6.88 (assume @p4017 (forall @t5092 (= (= @t5422 @t5253) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t4919) @t1196))))) % 6.62/6.88 (assume @p4018 (forall @t5088 (=> @t5087 (= @t5409 @t5252)))) % 6.62/6.88 (assume @p4019 (forall @t5377 (= (tptp.hAPP @t5408 @t5343) (tptp.hAPP (tptp.hAPP @t5341 @t5409) (tptp.hAPP (tptp.hAPP @t5406 @t5375) @t4907))))) % 6.62/6.88 (assume @p4020 (forall @t5353 (= (= @t5349 @t5030) (and (= @t4918 (tptp.hAPP (tptp.hAPP @t5069 @t4919) @t5030)) (= @t4915 (tptp.hAPP (tptp.hAPP @t5420 @t4919) @t5030)))))) % 6.62/6.88 (assume @p4021 (forall @t5282 (= (tptp.hAPP @t5421 @t4974) (tptp.c_Nat_Onat_Onat__case @t4461 @t4974 (tptp.hAPP (tptp.hAPP @t5281 @t5420) @t4918) @t1196)))) % 6.62/6.88 (assume @p4022 (forall @t5065 (and (=> @t1994 (= @t5424 @t4961)) (=> @t1995 (= @t5424 (tptp.hAPP (tptp.hAPP @t5406 @t2152) @t4908)))))) % 6.62/6.88 (assume @p4023 (forall (@list @t4908 @t372 @t1261 @t1211) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t5425) @t4913)) (= (tptp.hAPP (tptp.hAPP @t5060 @t5409) @t1261) (tptp.hAPP @t5062 @t5425))))) % 6.62/6.88 (assume @p4024 (forall (@list @t5426 @t5429 @t5427 @t5428 @t8) (= (= (tptp.hAPP (tptp.hAPP @t5328 @t5428) @t5427) (tptp.hAPP (tptp.hAPP @t5328 @t5429) @t5426)) (and (=> @t5432 (and (= @t5428 (tptp.hAPP (tptp.hAPP @t5069 @t5431) @t5429)) (= @t5427 (tptp.hAPP (tptp.hAPP @t5328 (tptp.hAPP (tptp.hAPP @t5420 @t5431) @t5429)) @t5426)))) (=> (not @t5432) (and (= (tptp.hAPP (tptp.hAPP @t5069 @t5430) @t5428) @t5429) (= (tptp.hAPP (tptp.hAPP @t5328 (tptp.hAPP (tptp.hAPP @t5420 @t5430) @t5428)) @t5427) @t5426))))))) % 6.62/6.88 (assume @p4025 (forall @t5399 (=> @t5162 (= @t5433 @t5412)))) % 6.62/6.88 (assume @p4026 (forall (@list @t4908 @t371 @t3489 @t372) (and (= (tptp.hAPP @t5418 @t5252) @t5252) (= (tptp.hAPP (tptp.c_List_Orotate1 @t3489) (tptp.hAPP @t5434 @t4908)) (tptp.hAPP (tptp.hAPP @t5361 @t4908) (tptp.hAPP @t5434 @t5274)))))) % 6.62/6.88 (assume @p4027 (forall @t5068 (and (=> @t3597 (= @t5435 @t4961)) (=> @t5067 (= @t5435 (tptp.hAPP (tptp.hAPP @t5406 @t3454) @t4908)))))) % 6.62/6.88 (assume @p4028 (forall (@list @t4908 @t372 @t1217 @t1261) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1359) @t4913)) (= (tptp.hAPP (tptp.hAPP @t5084 @t1359) @t4908) (tptp.hAPP @t5398 (tptp.hAPP (tptp.hAPP @t5084 @t1217) @t5412)))))) % 6.62/6.88 (assume @p4029 (forall @t5225 (=> @t5436 (= @t5419 @t4908)))) % 6.62/6.88 (assume @p4030 (forall @t5437 (= (tptp.hAPP @t5148 (tptp.hAPP (tptp.hAPP @t5361 @t4907) @t5271)) (tptp.hAPP (tptp.hAPP @t5360 (tptp.hAPP (tptp.hAPP @t5147 (tptp.hAPP (tptp.hAPP @t5084 @t5153) @t4908)) @t4907)) (tptp.hAPP (tptp.hAPP @t5147 (tptp.hAPP (tptp.hAPP @t5406 @t5153) @t4908)) @t5271))))) % 6.62/6.88 (assume @p4031 (forall @t5437 (= (tptp.hAPP @t5362 @t5271) (tptp.hAPP (tptp.hAPP @t5360 (tptp.hAPP @t5148 (tptp.hAPP (tptp.hAPP @t5146 @t4913) @t5271))) (tptp.hAPP @t5359 (tptp.hAPP (tptp.hAPP @t5417 @t4913) @t5271)))))) % 6.62/6.88 (assume @p4032 (forall @t5399 (=> @t5162 (= @t4908 (tptp.hAPP @t5398 @t5433))))) % 6.62/6.88 (assume @p4033 (forall @t5186 (=> @t5224 (= (tptp.hAPP @t5376 (tptp.hAPP (tptp.hAPP @t4957 @t5440) @t5252)) @t5438)))) % 6.62/6.88 (assume @p4034 (forall @t5441 (=> @t5259 (=> @t5224 (= @t5440 @t5063))))) % 6.62/6.88 (assume @p4035 (forall @t4963 (= (tptp.hAPP @t5439 @t4961) @t371))) % 6.62/6.88 (assume @p4036 (forall @t5445 @t5444)) % 6.62/6.88 (assume @p4037 (forall @t5445 (and (=> @t5258 (= @t5443 (tptp.hAPP @t5439 @t4907))) @t5444))) % 6.62/6.88 (assume @p4038 (forall @t5448 (=> @t5278 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t5447) @t5079))))) % 6.62/6.88 (assume @p4039 (forall @t5260 (=> @t5259 (= @t5442 (tptp.hAPP @t5062 @t1975))))) % 6.62/6.88 (assume @p4040 (forall @t5260 (=> @t5259 (= @t5419 (tptp.hAPP @t5452 (tptp.hAPP @t5449 @t5252)))))) % 6.62/6.88 (assume @p4041 (forall @t5441 (=> @t5259 (= (tptp.hAPP @t5439 @t5455) (tptp.hAPP @t5062 @t5453))))) % 6.62/6.88 (assume @p4042 (forall @t5104 (= @t5457 @t5456))) % 6.62/6.88 (assume @p4043 (forall @t5104 (= @t5456 @t5457))) % 6.62/6.88 (assume @p4044 (forall @t4963 (= (tptp.hAPP @t5450 @t4961) @t4908))) % 6.62/6.88 (assume @p4045 (forall @t5225 (=> @t5233 (tptp.hBOOL (tptp.hAPP @t5232 @t5451))))) % 6.62/6.88 (assume @p4046 (forall @t5092 (= (tptp.hBOOL (tptp.hAPP @t5226 @t5459)) @t5228))) % 6.62/6.88 (assume @p4047 (forall @t2242 (= (tptp.c_List_Orotate @t8 @t2028) (tptp.hAPP (tptp.c_Fun_Ocomp @t4461 @t4461 @t4461 (tptp.c_List_Orotate @t8 @t307)) @t5458)))) % 6.62/6.88 (assume @p4048 (forall @t54 (= (tptp.c_List_Orotate @t8 @t1975) @t5460))) % 6.62/6.88 (assume @p4049 (forall (@list @t4908 @t1211 @t793 @t372) (= (tptp.hAPP (tptp.c_List_Orotate @t372 @t793) @t5455) (tptp.hAPP (tptp.c_List_Orotate @t372 @t1239) @t4908)))) % 6.62/6.88 (assume @p4050 (forall @t5104 (= (tptp.hAPP @t4911 @t5455) @t4913))) % 6.62/6.88 (assume @p4051 (forall @t5092 (= (tptp.hAPP @t5077 @t5459) @t5079))) % 6.62/6.88 (assume @p4052 (forall @t1171 (= (tptp.hAPP @t5450 @t5252) @t5252))) % 6.62/6.88 (assume @p4053 (forall @t5092 (= (= @t5459 @t5253) @t5254))) % 6.62/6.88 (assume @p4054 (forall @t5104 (= @t5461 (tptp.hAPP @t5454 @t5419)))) % 6.62/6.88 (assume @p4055 (forall @t2281 (= @t5458 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t4461 @t4461) @t1196) @t5404)))) % 6.62/6.88 (assume @p4056 (forall @t5445 (=> @t5259 (= (tptp.hAPP @t5450 @t5343) (tptp.hAPP @t5452 @t4907))))) % 6.62/6.88 (assume @p4057 (forall @t5104 (= @t5462 (tptp.hAPP @t5450 @t5438)))) % 6.62/6.88 (assume @p4058 (forall @t5104 (= @t5455 (tptp.hAPP (tptp.c_List_Orotate @t372 @t5453) @t4908)))) % 6.62/6.88 (assume @p4059 (forall @t5104 (= (tptp.hAPP @t5410 @t4908) @t5457))) % 6.62/6.88 (assume @p4060 (forall @t5104 (= (tptp.hAPP (tptp.c_List_Orotate @t372 @t1853) @t4908) @t5461))) % 6.62/6.88 (assume @p4061 (forall @t5365 (= (tptp.hAPP @t5463 @t5349) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4461 @t8 (tptp.hAPP @t5463 @t4915) (tptp.hAPP (tptp.c_COMBK @t4980 @t8) (tptp.hAPP @t5402 @t4915))) @t4918)))) % 6.62/6.88 (assume @p4062 (forall @t5186 (=> (= @t5453 @t1975) @t5464))) % 6.62/6.88 (assume @p4063 (forall @t5088 (=> @t5436 @t5464))) % 6.62/6.88 (assume @p4064 (forall @t5225 (= (tptp.hAPP @t4911 @t5451) @t5202))) % 6.62/6.88 (assume @p4065 (forall @t5104 (= (tptp.hAPP @t5450 @t5086) (tptp.hAPP @t5184 @t5451)))) % 6.62/6.88 (assume @p4066 (forall @t5441 (=> @t5259 (= @t5438 (tptp.hAPP @t5449 @t5462))))) % 6.62/6.88 (assume @p4067 (forall @t5104 (= @t5455 (tptp.hAPP (tptp.hAPP @t5341 (tptp.hAPP (tptp.hAPP @t5406 @t5453) @t4908)) (tptp.hAPP (tptp.hAPP @t5084 @t5453) @t4908))))) % 6.62/6.88 (assume @p4068 (forall @t5080 (=> @t724 (=> @t5278 (= (tptp.hAPP @t806 @t5079) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t642 @t5447) (tptp.hAPP @t5463 @t4918))))))) % 6.62/6.88 (assume @p4069 (forall (@list @t725 @t60 @t8 @t109) (=> (exists (@list @t2207 @t3088) (= @t109 (tptp.hAPP (tptp.hAPP @t4954 @t2207) @t3088))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t4995 (tptp.hAPP @t5387 @t109))) @t4994))))) % 6.62/6.88 (assume @p4070 (forall @t1532 (= (tptp.hAPP @t5465 @t5312) @t13))) % 6.62/6.88 (assume @p4071 (forall (@list @t5169 @t1196 @t307) (=> @t1250 (tptp.hBOOL (tptp.hAPP @t1249 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1223 @t1196) @t5169)))))) % 6.62/6.88 (assume @p4072 (forall @t5466 (=> (tptp.class_Groups_Osemigroup__add @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t587 @t2063) @t5030) (tptp.hAPP @t2062 (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t587 @t109) @t5030)))))) % 6.62/6.88 (assume @p4073 (forall (@list @t5030 @t60 @t8) (=> @t5468 (= (tptp.hAPP @t2062 (tptp.hAPP @t5467 @t5030)) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t587 @t60) @t5030))))) % 6.62/6.88 (assume @p4074 (forall (@list @t4918 @t60 @t13 @t2 @t39 @t8) (= (tptp.hAPP @t5465 @t5470) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t39 @t2 (tptp.hAPP @t161 @t60)) @t4918)))) % 6.62/6.88 (assume @p4075 (forall (@list @t4915 @t4918 @t13 @t2 @t39 @t8) (= (tptp.hAPP @t5465 @t5473) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t39 @t2 @t5471) @t4915)))) % 6.62/6.88 (assume @p4076 (forall @t54 (=> @t5468 (= @t5165 @t5467)))) % 6.62/6.88 (assume @p4077 (forall (@list @t5169 @t307) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1223 @t307) @t5169) @t1975) (and @t2019 @t5172)))) % 6.62/6.88 (assume @p4078 (forall @t5476 (=> @t309 (= @t5475 (tptp.hAPP @t5474 @t4918))))) % 6.62/6.88 (assume @p4079 (forall @t5080 (=> @t1785 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t5079) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t1089 @t166) @t4918))))) % 6.62/6.88 (assume @p4080 (forall @t5080 (=> @t1785 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t5079) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t1588 @t1084) @t4918))))) % 6.62/6.88 (assume @p4081 (forall @t4993 (=> @t1090 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t8 @t5081) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t1089 @t60) @t4918))))) % 6.62/6.88 (assume @p4082 (forall @t4993 (=> @t1090 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t8 @t5081) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t8 @t1588 @t60) @t4918))))) % 6.62/6.88 (assume @p4083 (forall @t4993 (=> @t665 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t8 @t5081) @t5477)))) % 6.62/6.88 (assume @p4084 (forall @t4993 (=> @t665 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t8 @t5081) @t5478)))) % 6.62/6.88 (assume @p4085 (forall @t4993 (=> @t665 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t8 @t798 @t5081) @t5477)))) % 6.62/6.88 (assume @p4086 (forall @t4993 (=> @t665 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t8 @t802 @t5081) @t5478)))) % 6.62/6.88 (assume @p4087 (forall @t5480 (=> @t1785 (= (tptp.hAPP (tptp.hAPP @t1780 @t5479) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t39 (tptp.hAPP @t730 (tptp.hAPP (tptp.hAPP @t474 @t1089) @t2)) @t166) @t4918))))) % 6.62/6.88 (assume @p4088 (forall @t5480 (=> @t1785 (= (tptp.hAPP (tptp.hAPP @t1862 @t5479) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t39 (tptp.hAPP @t730 (tptp.hAPP (tptp.hAPP @t474 @t1588) @t2)) @t1084) @t4918))))) % 6.62/6.88 (assume @p4089 (forall (@list @t5169 @t1196) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1281 @t1196) @t5171)) (tptp.hBOOL (tptp.hAPP @t1886 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1223 @t1975) @t5169)))))) % 6.62/6.88 (assume @p4090 (forall @t520 (=> @t665 (=> @t50 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t123) (tptp.hAPP @t5482 @t5318)))))) % 6.62/6.88 (assume @p4091 (forall (@list @t725 @t109 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t5255 @t109)) @t4994)) (exists (@list @t287 @t3) (= @t109 (tptp.hAPP @t5483 @t3)))))) % 6.62/6.88 (assume @p4092 (forall (@list @t60 @t2 @t8 @t39) (=> @t5486 (= (tptp.hAPP @t5485 @t5253) @t5285)))) % 6.62/6.88 (assume @p4093 (forall (@list @t4915 @t39 @t109 @t60 @t2 @t8) (=> @t665 (and (=> @t5490 (= @t5489 (tptp.hAPP @t5469 @t5309))) (=> (not @t5490) (= @t5489 (tptp.hAPP @t5308 (tptp.hAPP @t5488 @t4915)))))))) % 6.62/6.88 (assume @p4094 (forall @t5492 (=> @t5486 (= (tptp.hAPP @t5077 @t5491) @t5107)))) % 6.62/6.88 (assume @p4095 (forall @t5492 (=> @t5486 (= (tptp.hAPP @t4905 @t5491) @t5493)))) % 6.62/6.88 (assume @p4096 (forall @t54 (=> @t665 (tptp.c_Finite__Set_Ofun__left__comm @t8 @t4461 @t5481)))) % 6.62/6.88 (assume @p4097 (forall (@list @t4918 @t109 @t60 @t8) (=> @t665 (= (tptp.hAPP @t5482 (tptp.hAPP @t5495 @t4918)) (tptp.hAPP @t5495 @t5494))))) % 6.62/6.88 (assume @p4098 (forall (@list @t4918 @t39 @t109 @t60 @t2 @t8) (=> @t665 (=> @t492 (= (tptp.hAPP @t5496 @t5497) (tptp.hAPP @t5488 (tptp.hAPP @t5496 @t4918))))))) % 6.62/6.88 (assume @p4099 (forall @t4993 (=> @t665 (= (tptp.c_List_Oremove1 @t8 @t60 @t5494) @t4918)))) % 6.62/6.88 (assume @p4100 (forall (@list @t4918 @t13 @t2 @t8 @t39) (=> @t5486 (not (= @t5499 @t5253))))) % 6.62/6.88 (assume @p4101 (forall @t5492 (=> @t5486 (= (tptp.hBOOL (tptp.hAPP @t5226 @t5491)) @t5236)))) % 6.62/6.88 (assume @p4102 (forall @t5503 (=> @t665 (=> (not @t5502) (= @t5500 @t5497))))) % 6.62/6.88 (assume @p4103 (forall @t4993 (=> @t665 (=> @t5097 (= @t5504 @t5494))))) % 6.62/6.88 (assume @p4104 (forall (@list @t60 @t2 @t4918 @t8 @t39) (=> @t5486 (=> @t5228 (tptp.hBOOL (tptp.hAPP @t5226 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t8 @t39 @t2 @t60 @t4918))))))) % 6.62/6.88 (assume @p4105 (forall @t4993 (=> @t665 (=> @t5096 (= @t5504 @t4918))))) % 6.62/6.88 (assume @p4106 (forall @t4993 (=> @t665 (= (tptp.hAPP @t5077 @t5504) @t5107)))) % 6.62/6.88 (assume @p4107 (forall @t5503 (=> @t665 (=> @t5502 (= @t5500 @t4918))))) % 6.62/6.88 (assume @p4108 (forall (@list @t371 @t1216 @t372 @t4908) (=> @t5259 (and (=> @t5203 (= @t5506 @t371)) (=> @t5204 (= @t5506 @t5505)))))) % 6.62/6.88 (assume @p4109 (forall @t5260 (=> @t5259 (= @t5505 (tptp.hAPP @t5062 @t5202))))) % 6.62/6.88 (assume @p4110 (forall @t4962 (and @t5509 @t5508))) % 6.62/6.88 (assume @p4111 (forall @t4962 @t5508)) % 6.62/6.88 (assume @p4112 (forall @t4962 @t5509)) % 6.62/6.88 (assume @p4113 (forall @t5372 (and @t5512 @t5511))) % 6.62/6.88 (assume @p4114 (forall @t5372 @t5511)) % 6.62/6.88 (assume @p4115 (forall @t5372 @t5512)) % 6.62/6.88 (assume @p4116 (forall (@list @t8 @t5513) (=> (not (= @t5513 @t5253)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 (tptp.c_List_Olast @t8 @t5513)) (tptp.hAPP @t5077 @t5513)))))) % 6.62/6.88 (assume @p4117 (forall @t5262 (= (tptp.c_List_Olast @t372 @t5383) @t371))) % 6.62/6.88 (assume @p4118 (forall @t5186 (=> @t5224 (= (tptp.c_List_Olast @t372 @t5409) @t5505)))) % 6.62/6.88 (assume @p4119 (forall @t5260 (=> @t5259 (= (tptp.hAPP (tptp.hAPP @t5341 @t5197) (tptp.hAPP (tptp.hAPP @t4957 @t5505) @t5252)) @t4908)))) % 6.62/6.88 (assume @p4120 (forall (@list @t4915 @t60 @t4918 @t8) (= (= @t5340 @t4915) (and (not @t5334) (= @t5382 @t4918) (= (tptp.c_List_Olast @t8 @t4915) @t60))))) % 6.62/6.88 (assume @p4121 (forall @t133 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4978 @t13) @t5042)) (or @t5515 (exists (@list @t287 @t5514) (and (= @t13 (tptp.hAPP @t5483 @t5514)) @t569 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4978 @t5514) @t5042)))))))) % 6.62/6.88 (assume @p4122 (forall @t5448 (=> @t5278 (= (tptp.c_Random_Oselect__weight @t8 @t5516) @t5300)))) % 6.62/6.88 (assume @p4123 (forall @t380 (=> @t1022 @t5519))) % 6.62/6.88 (assume @p4124 (forall @t5522 (=> @t5278 (= (tptp.c_List_Olast @t39 @t5521) (tptp.hAPP @t2 @t5520))))) % 6.62/6.88 (assume @p4125 (forall (@list @t4918 @t2 @t125 @t13 @t1 @t39 @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t39 @t1 @t13) @t5525) (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t125 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1141 @t439) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t167 (tptp.tc_fun @t1141 @t439) @t8) @t126) @t1)) @t2) @t13) @t4918)))) % 6.62/6.88 (assume @p4126 (forall @t5529 (= (tptp.hAPP @t5458 @t5528) (tptp.hAPP @t5527 (tptp.hAPP (tptp.c_List_Orotate @t39 @t1196) @t4918))))) % 6.62/6.88 (assume @p4127 (forall @t5530 (= (tptp.hAPP @t5527 (tptp.hAPP (tptp.c_List_Otl @t39) @t4918)) (tptp.hAPP @t5463 @t5528)))) % 6.62/6.88 (assume @p4128 (forall (@list @t4915 @t2 @t125 @t4918 @t39 @t8) (= (tptp.hAPP @t5141 (tptp.hAPP @t5524 @t4915)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4385 @t1065) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t125 @t1065) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1141 @t5531) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3906 (tptp.tc_fun @t1141 @t5531) @t8) (tptp.c_COMBB @t39 @t1065 @t125)) @t3899)) @t2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t8 @t125) @t4918) @t4915))))) % 6.62/6.88 (assume @p4129 (forall (@list @t4915 @t1 @t4045 @t4918 @t2 @t8 @t125 @t39) (= (tptp.hAPP @t5535 (tptp.hAPP (tptp.hAPP @t5534 @t4918) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4045 @t125) @t1) @t4915))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4608 @t8) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t39 @t4045 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5532 (tptp.tc_fun @t4045 @t8) @t39) (tptp.hAPP (tptp.c_COMBB @t3948 @t8 @t4045) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t5533 @t5532) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3956 (tptp.tc_fun @t5533 @t5532) @t39) (tptp.c_COMBB @t125 @t3948 @t4045)) @t3950)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t39 @t4045) @t4918) @t4915))))) % 6.62/6.88 (assume @p4130 (forall (@list @t4915 @t4918 @t1 @t4045 @t2 @t8 @t125 @t39) (= (tptp.hAPP @t5535 (tptp.hAPP (tptp.hAPP @t5534 (tptp.hAPP @t5536 @t4918)) @t4915)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4721 @t8) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4045 @t125 @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3956 @t439 @t4045) (tptp.hAPP (tptp.c_COMBB @t3948 @t8 @t125) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t39 @t3956 @t4045) @t3950) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4045 @t125) @t4918) @t4915))))) % 6.62/6.88 (assume @p4131 (forall (@list @t4915 @t4918 @t2 @t125 @t39 @t8) (= (tptp.hAPP @t5539 @t4915) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4380 @t1065) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t125 @t39 @t1065) @t4518)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t125 @t39) @t4918) @t4915))))) % 6.62/6.88 (assume @p4132 (forall (@list @t4915 @t1 @t4045 @t4918 @t2 @t125 @t39 @t8) (= (tptp.hAPP @t5539 (tptp.hAPP @t5536 @t4915)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4578 @t1065) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t125 @t4045 @t1065) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t125 @t4743 @t5540) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3906 (tptp.tc_fun @t4743 @t5540) @t125) (tptp.c_COMBB @t39 @t1065 @t4045)) @t4518)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t125 @t4045) @t4918) @t4915))))) % 6.62/6.88 (assume @p4133 (forall @t5080 (= @t5156 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 @t3400) @t4352) @t4918)))) % 6.62/6.88 (assume @p4134 (forall @t5530 (= (= @t5528 @t5253) @t5541))) % 6.62/6.88 (assume @p4135 (forall @t158 (= (tptp.hAPP @t5527 @t5312) @t5253))) % 6.62/6.88 (assume @p4136 (forall @t5542 (= (= @t5253 @t5528) @t5541))) % 6.62/6.88 (assume @p4137 (forall (@list @t109 @t1199 @t4918 @t2 @t8 @t39) (= (tptp.hAPP @t5527 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t39 @t4918) @t1199) @t109)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t8 @t5528) @t1199) @t489)))) % 6.62/6.88 (assume @p4138 (forall (@list @t1 @t4918 @t2 @t8 @t39) (= (= @t5528 @t5543) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t143 @t5479)) @t6))))) % 6.62/6.88 (assume @p4139 (forall (@list @t4915 @t1 @t125 @t4918 @t2 @t8 @t39) (=> (= @t5528 (tptp.hAPP (tptp.hAPP @t5537 @t1) @t4915)) (= @t5545 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t5544) @t4915))))) % 6.62/6.88 (assume @p4140 (forall @t5542 (= (tptp.hAPP @t4905 @t5528) @t5545))) % 6.62/6.88 (assume @p4141 (forall @t5548 (=> @t444 (= (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP @t5526 @t624) @t4918)) (tptp.hAPP (tptp.hAPP @t587 @t5547) @t5546))))) % 6.62/6.88 (assume @p4142 (forall @t5548 (=> @t477 (= (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP @t5526 @t476) @t4918)) (tptp.hAPP (tptp.hAPP @t274 @t5547) @t5546))))) % 6.62/6.88 (assume @p4143 (forall (@list @t4918 @t39 @t8) (=> @t5468 (= (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP @t5526 @t2048) @t4918)) @t1985)))) % 6.62/6.88 (assume @p4144 (forall (@list @t4918 @t2 @t82 @t39 @t8) (=> @t728 (= (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP @t5526 (tptp.hAPP (tptp.hAPP @t727 @t2105) @t2)) @t4918)) (tptp.hAPP @t2105 @t5547))))) % 6.62/6.88 (assume @p4145 (forall (@list @t4918 @t82 @t2 @t39 @t8) (=> @t728 (= (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP @t5526 (tptp.hAPP @t731 @t82)) @t4918)) (tptp.hAPP (tptp.hAPP @t642 @t5547) @t82))))) % 6.62/6.88 (assume @p4146 (forall @t5551 (=> @t1022 @t5550))) % 6.62/6.88 (assume @p4147 (forall @t5554 (=> @t5553 (=> (tptp.c_Fun_Oinj__on @t39 @t8 @t2 @t1058) @t5020)))) % 6.62/6.88 (assume @p4148 (forall @t5080 (= (tptp.hAPP @t5556 @t4918) @t4918))) % 6.62/6.88 (assume @p4149 (forall @t5529 (= (tptp.hAPP @t5089 @t5528) (tptp.hAPP @t5527 (tptp.hAPP @t5558 @t4918))))) % 6.62/6.88 (assume @p4150 (forall @t5530 (= (tptp.hAPP @t5527 (tptp.c_List_Obutlast @t39 @t4918)) (tptp.c_List_Obutlast @t8 @t5528)))) % 6.62/6.88 (assume @p4151 (forall @t5542 (= (tptp.hAPP @t5077 @t5528) @t5501))) % 6.62/6.88 (assume @p4152 (forall @t5492 (= (tptp.hAPP @t5527 @t5470) (tptp.hAPP (tptp.hAPP @t4954 @t64) @t5528)))) % 6.62/6.88 (assume @p4153 (forall @t5554 (= (tptp.hAPP @t5527 @t5473) (tptp.hAPP (tptp.hAPP @t5328 @t5528) @t5552)))) % 6.62/6.88 (assume @p4154 (forall @t5522 (=> @t5278 (= (tptp.hAPP (tptp.c_List_Ohd @t39) @t5521) (tptp.hAPP @t2 @t5447))))) % 6.62/6.88 (assume @p4155 (forall @t5529 (= (tptp.hAPP @t5421 @t5528) (tptp.hAPP @t5527 (tptp.hAPP @t5559 @t4918))))) % 6.62/6.88 (assume @p4156 (forall (@list @t1 @t2 @t8 @t39 @t125) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5544 @t5133 @t4461 @t5524) (tptp.hAPP (tptp.c_List_Omap @t8 @t125) @t1)) (tptp.hAPP @t5517 @t4668)))) % 6.62/6.88 (assume @p4157 (forall (@list @t4965 @t1 @t125 @t2 @t8 @t39) (= (tptp.hAPP @t5527 (tptp.hAPP @t5561 @t4965)) (tptp.hAPP @t5560 @t4965)))) % 6.62/6.88 (assume @p4158 (forall (@list @t4918 @t1 @t125 @t2 @t8 @t39) (= (tptp.hAPP @t5527 (tptp.hAPP @t5561 @t4918)) (tptp.hAPP @t5560 @t4918)))) % 6.62/6.88 (assume @p4159 (forall @t54 (= @t5556 @t5460))) % 6.62/6.88 (assume @p4160 (forall @t54 (= (tptp.hAPP @t5555 @t4594) @t5460))) % 6.62/6.88 (assume @p4161 (forall (@list @t4918 @t1 @t39 @t2 @t8) (= (tptp.c_List_Olist_Olist__size @t8 @t2 @t5543) (tptp.c_List_Olist_Olist__size @t39 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_Nat_Onat @t39 @t2) @t1) @t4918)))) % 6.62/6.88 (assume @p4162 (forall @t5551 (=> @t5562 @t5550))) % 6.62/6.88 (assume @p4163 (forall @t5554 (=> @t5553 (=> (tptp.c_Fun_Oinj__on @t39 @t8 @t2 (tptp.hAPP (tptp.hAPP @t1129 @t5479) @t5160)) @t5020)))) % 6.62/6.88 (assume @p4164 (forall (@list @t2 @t39 @t4918 @t8 @t1196) (=> @t5122 (= (tptp.hAPP (tptp.hAPP @t5137 @t5521) @t1196) (tptp.hAPP @t2 @t5121))))) % 6.62/6.88 (assume @p4165 (forall (@list @t640 @t2 @t39 @t4918 @t109 @t8) (=> (not @t5100) (= (tptp.hAPP (tptp.hAPP @t5517 (tptp.c_Fun_Ofun__upd @t8 @t39 @t2 @t109 @t640)) @t4918) @t5521)))) % 6.62/6.88 (assume @p4166 (forall @t5542 (= (tptp.hBOOL (tptp.hAPP @t5226 @t5528)) (and (tptp.hBOOL (tptp.hAPP @t5563 @t4918)) (tptp.c_Fun_Oinj__on @t39 @t8 @t2 @t5479))))) % 6.62/6.88 (assume @p4167 (forall @t5080 (=> @t3203 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 (tptp.hAPP @t3200 @t5166)) (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP @t5555 @t3200) @t4918))))))) % 6.62/6.88 (assume @p4168 (forall @t5542 (=> @t477 (= (tptp.hAPP @t819 @t5547) (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP @t5526 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t8 @t39 @t819) @t2)) @t4918)))))) % 6.62/6.88 (assume @p4169 (forall @t159 (=> (tptp.c_Fun_Oinj__on @t8 @t39 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t52 (tptp.hAPP @t5564 @t45))) (tptp.c_Fun_Oinj__on @t4461 @t5133 @t5518 @t45)))) % 6.62/6.88 (assume @p4170 (forall @t380 (=> @t5519 @t1022))) % 6.62/6.88 (assume @p4171 (forall @t380 (= @t5519 @t1022))) % 6.62/6.88 (assume @p4172 (forall (@list @t2 @t4918 @t8 @t39) (=> @t575 (=> @t5228 (= @t5566 (tptp.hAPP @t358 @t5079)))))) % 6.62/6.88 (assume @p4173 (forall (@list @t4918 @t725 @t39 @t8) (=> @t2350 (= (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP @t5526 (tptp.hAPP @t1332 @t725)) @t4918)) (tptp.hAPP (tptp.hAPP @t642 (tptp.hAPP @t2250 @t5545)) @t725))))) % 6.62/6.88 (assume @p4174 (forall (@list @t2 @t4918 @t60 @t8 @t39) (=> @t575 (=> @t5096 (= @t5566 (tptp.hAPP (tptp.hAPP @t571 @t64) (tptp.hAPP @t5565 (tptp.hAPP @t5518 @t5249)))))))) % 6.62/6.88 (assume @p4175 (forall @t1351 (=> @t575 (and (=> @t50 (= @t5567 (tptp.hAPP @t5565 (tptp.hAPP @t5518 @t5244)))) (=> @t1350 (= @t5567 @t2124)))))) % 6.62/6.88 (assume @p4176 (forall (@list @t4918 @t8 @t1455) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t1455) @t4919)) (= (tptp.hAPP (tptp.c_Random_Opick @t8 @t5516) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1455)) (tptp.hAPP @t5050 @t1455))))) % 6.62/6.88 (assume @p4177 (= @t3843 @t5568)) % 6.62/6.88 (assume @p4178 (forall @t1240 (= (tptp.hAPP (tptp.hAPP @t5571 @t5570) @t5569) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1446)))) % 6.62/6.88 (assume @p4179 (forall @t1878 (= (= @t5573 @t5572) @t1873))) % 6.62/6.88 (assume @p4180 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 6.62/6.88 (assume @p4181 (= @t3857 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1193))) % 6.62/6.88 (assume @p4182 (forall @t1878 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4801 @t5573) @t5572)) @t1372))) % 6.62/6.88 (assume @p4183 (forall @t2385 (=> (tptp.hBOOL (tptp.hAPP @t2395 @t1444)) (=> @t5575 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t60) @t5574) @t112))))) % 6.62/6.88 (assume @p4184 (forall @t5578 (=> @t5577 (= (tptp.hAPP @t5576 @t5142) @t4918)))) % 6.62/6.88 (assume @p4185 (forall @t5578 (=> @t5577 (= (tptp.hAPP @t5579 @t5142) @t4915)))) % 6.62/6.88 (assume @p4186 (= @t3838 (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_Nat_Onat tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Int_Oint tptp.c_Code__Numeral_Oof__nat) tptp.c_Int_Onat))) % 6.62/6.88 (assume @p4187 (forall (@list @t5030 @t39 @t8) (= (tptp.hAPP (tptp.hAPP @t5140 @t5581) @t5580) @t5030))) % 6.62/6.88 (assume @p4188 (forall @t1240 (= (tptp.hAPP (tptp.hAPP @t4799 @t5570) @t5569) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1241)))) % 6.62/6.88 (assume @p4189 (forall @t1878 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4803 @t5573) @t5572)) @t1887))) % 6.62/6.88 (assume @p4190 (forall @t5585 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4801 @t1229) @t5584)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t5583 @t1229)) @t5582))))) % 6.62/6.88 (assume @p4191 (forall (@list @t5030 @t4915 @t39 @t4918 @t8) (=> @t5577 (= (= @t5142 @t5030) (and (= @t5581 @t4918) (= @t5580 @t4915)))))) % 6.62/6.88 (assume @p4192 (forall @t5586 (= @t5116 (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t5173 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t8 tptp.tc_Nat_Onat) @t2) @t4918))) @t4919)))) % 6.62/6.88 (assume @p4193 (forall @t2819 (= (not (= @t1229 @t5568)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4803 @t3857) @t1229))))) % 6.62/6.88 (assume @p4194 (forall (@list @t1228 @t1229 @t2 @t8) (=> @t444 (= (tptp.hAPP @t2926 @t5168) (tptp.hAPP @t5165 (tptp.hAPP @t5587 @t5167)))))) % 6.62/6.88 (assume @p4195 (forall (@list @t1455 @t1199 @t2 @t8) (=> @t444 (= (tptp.hAPP @t5165 (tptp.hAPP @t5587 @t5588)) (tptp.hAPP @t2926 (tptp.hAPP @t5164 @t5588)))))) % 6.62/6.88 (assume @p4196 (forall @t5589 (=> (tptp.hBOOL (tptp.hAPP @t4811 @t5584)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t5301 (tptp.hAPP @t4990 @t2757))) @t5582))))) % 6.62/6.88 (assume @p4197 (forall @t5080 (= @t4990 (tptp.hAPP (tptp.hAPP @t5592 (tptp.c_Random_Orange @t5584)) (tptp.hAPP @t5591 @t5583))))) % 6.62/6.88 (assume @p4198 (forall @t5080 (= @t5300 (tptp.hAPP (tptp.hAPP @t5592 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t4919))) (tptp.hAPP @t5591 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Code__Numeral_Ocode__numeral) @t5050) tptp.c_Code__Numeral_Onat__of)))))) % 6.62/6.88 (assume @p4199 (forall @t1240 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t5570) @t5569) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1396)))) % 6.62/6.88 (assume @p4200 (forall @t1240 (= (tptp.hAPP (tptp.hAPP @t5571 @t1211) @t793) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1302 @t5594) @t5593))))) % 6.62/6.88 (assume @p4201 (forall @t3011 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t371)) @t371))) % 6.62/6.88 (assume @p4202 (forall @t2377 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5595) @t1216))) % 6.62/6.88 (assume @p4203 (forall @t1237 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5570) @t1211))) % 6.62/6.88 (assume @p4204 (forall @t2434 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1199) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1455)) @t3728))) % 6.62/6.88 (assume @p4205 (forall @t2385 (= (= @t5596 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t109)) @t112))) % 6.62/6.88 (assume @p4206 (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 @t1444)) % 6.62/6.88 (assume @p4207 (forall @t1878 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4801 @t1196) @t307)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t5598) @t5597))))) % 6.62/6.88 (assume @p4208 (forall @t2952 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1281 @t5596) @t1444)))) % 6.62/6.88 (assume @p4209 (forall @t2377 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t3838 @t1216)) (tptp.hAPP @t3452 @t1216)))) % 6.62/6.88 (assume @p4210 (= 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 @t2264) tptp.c_Code__Numeral_Onat__of))) % 6.62/6.88 (assume @p4211 (forall @t1878 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4803 @t1196) @t307)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t5598) @t5597))))) % 6.62/6.88 (assume @p4212 (forall @t3193 (= @t5599 (tptp.c_Code__Numeral_Onat__of__aux @t1261 @t1975)))) % 6.62/6.88 (assume @p4213 (forall @t1416 (= @t3884 (tptp.hAPP (tptp.hAPP @t1223 @t5599) @t1211)))) % 6.62/6.88 (assume @p4214 (forall @t2377 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t1216) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t5595))))) % 6.62/6.88 (assume @p4215 (forall @t1240 (= @t5600 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t467 @t5594) @t5593))))) % 6.62/6.88 (assume @p4216 (forall @t4640 (=> @t5575 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5574) @t109)))) % 6.62/6.88 (assume @p4217 (forall @t1240 (= (tptp.hAPP (tptp.hAPP @t4799 @t1211) @t793) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1223 @t5594) @t5593))))) % 6.62/6.88 (assume @p4218 (forall @t1240 (= @t4062 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t2709 @t5594) @t5593))))) % 6.62/6.88 (assume @p4219 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t3858)) % 6.62/6.88 (assume @p4220 (forall @t1240 (= @t5600 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t1211) @t793)))) % 6.62/6.88 (assume @p4221 (forall @t1240 (= @t4061 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t5594 @t5593))))) % 6.62/6.88 (assume @p4222 (forall @t2377 (=> (not (= @t1216 @t5568)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 (tptp.hAPP (tptp.hAPP @t467 @t5595) @t1976)) @t5595))))) % 6.62/6.88 (assume @p4223 (forall (@list @t1 @t2 @t4918 @t8 @t39) (=> (and @t5601 @t1034) (=> (forall @t7 (=> @t5113 @t432)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t5566) (tptp.hAPP @t5565 (tptp.hAPP (tptp.hAPP @t5517 @t1) @t4918)))))))) % 6.62/6.88 (assume @p4224 (forall (@list @t1229 @t5602) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t5602) @t1229) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t5602 (tptp.hAPP (tptp.hAPP @t5571 (tptp.hAPP @t3838 @t3747)) @t1229)))))) % 6.62/6.88 (assume @p4225 (forall @t5609 (=> @t5608 (= (tptp.hAPP (tptp.hAPP @t1037 @t5606) @t5604) @t5079)))) % 6.62/6.88 (assume @p4226 (forall (@list @t74 @t45 @t1455 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5611 @t5042)) (=> (tptp.hBOOL (tptp.hAPP @t5611 @t5044)) (tptp.hBOOL (tptp.hAPP @t5610 @t1455)))))) % 6.62/6.88 (assume @p4227 (forall @t118 (tptp.hBOOL (tptp.hAPP @t5612 @t5253)))) % 6.62/6.88 (assume @p4228 (forall (@list @t4918 @t45 @t8) (= @t5613 (forall @t7 (=> @t5113 @t4647))))) % 6.62/6.88 (assume @p4229 (forall @t500 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t8 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t342 @t45)) @t74)) @t60)) (and (tptp.hBOOL (tptp.hAPP @t5612 @t60)) (tptp.hBOOL (tptp.hAPP @t5614 @t60)))))) % 6.62/6.88 (assume @p4230 (forall (@list @t74 @t1455 @t45 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5612 @t1455)) (=> (tptp.hBOOL (tptp.hAPP @t5614 @t1455)) (tptp.hBOOL (tptp.hAPP @t5615 @t1455)))))) % 6.62/6.88 (assume @p4231 (forall @t258 (= @t5615 (tptp.hAPP (tptp.hAPP @t5616 @t5612) @t5614)))) % 6.62/6.88 (assume @p4232 (forall (@list @t192 @t193 @t45 @t8) (= (tptp.hBOOL (tptp.hAPP @t5612 (tptp.hAPP @t5039 @t192))) (and (tptp.hBOOL (tptp.hAPP @t45 @t193)) (tptp.hBOOL (tptp.hAPP @t5612 @t192)))))) % 6.62/6.88 (assume @p4233 (forall (@list @t4915 @t4918 @t45 @t8) (= (tptp.hBOOL (tptp.hAPP @t5612 @t5349)) (and @t5613 (tptp.hBOOL (tptp.hAPP @t5612 @t4915)))))) % 6.62/6.88 (assume @p4234 (forall @t258 (=> @t352 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5045 @t5612) @t5614))))) % 6.62/6.88 (assume @p4235 (forall @t5609 (=> @t5608 (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t129 @t5606)) @t1080)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t129 @t5604)) @t3307)))))) % 6.62/6.88 (assume @p4236 (forall @t3309 (= (tptp.c_List_Opartition @t8 @t180 @t5253) @t5280))) % 6.62/6.88 (assume @p4237 (forall @t520 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t8 @t340) @t60)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4978 @t60) @t5042))))) % 6.62/6.88 (assume @p4238 (forall @t5619 (= (tptp.c_List_Opartition @t8 @t180 @t4974) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4461 @t4461 @t4475) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4461 @t4926 @t4926) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5618 (tptp.tc_fun @t4926 @t4926) @t4461) (tptp.c_COMBS @t4461 @t4475 @t4475)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4926 @t5618 @t4461) (tptp.hAPP (tptp.c_COMBB @t4475 @t5617 @t4461) (tptp.hAPP (tptp.c_If @t4475) @t421))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4461 @t4926 @t4461) @t4920) @t4973)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4461 @t4980 @t4926) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4926 (tptp.tc_fun @t4980 @t4926) @t4461) (tptp.c_COMBB @t4461 @t4475 @t4461)) @t4920)) @t4973))) @t5607)))) % 6.62/6.88 (assume @p4239 (forall @t258 (= @t5610 (tptp.hAPP (tptp.hAPP @t5616 (tptp.hAPP @t4979 @t5042)) (tptp.hAPP @t4979 @t5044))))) % 6.62/6.88 (assume @p4240 (forall @t5316 (= (tptp.c_Enum_Oproduct @t8 @t39 @t4974 @t4915) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t1065) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t39 @t1065) @t3900) @t4915)) @t5620)))) % 6.62/6.88 (assume @p4241 (forall @t5624 (= @t5623 (and @t5577 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5622 @t5144)) @t5621)))))) % 6.62/6.88 (assume @p4242 (forall (@list @t5625 @t5513 @t2 @t125 @t180 @t39 @t8) (= (tptp.c_List_Olist__all2 @t8 @t39 @t180 (tptp.hAPP @t5538 @t5513) @t5625) (tptp.c_List_Olist__all2 @t125 @t39 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t80 @t125) @t180) @t2) @t5513 @t5625)))) % 6.62/6.88 (assume @p4243 (forall (@list @t5625 @t2 @t125 @t5513 @t180 @t39 @t8) (= (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t5513 (tptp.hAPP @t5524 @t5625)) (tptp.c_List_Olist__all2 @t8 @t125 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t1141 @t438) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 (tptp.tc_fun @t1141 @t438) @t8) (tptp.c_COMBB @t39 tptp.tc_HOL_Obool @t125)) @t180)) @t2) @t5513 @t5625)))) % 6.62/6.88 (assume @p4244 (forall (@list @t1196 @t5625 @t5513 @t180 @t39 @t8) (=> (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t5513 @t5625) (tptp.c_List_Olist__all2 @t8 @t39 @t180 (tptp.hAPP @t5421 @t5513) (tptp.hAPP @t5559 @t5625))))) % 6.62/6.88 (assume @p4245 (forall (@list @t149 @t82 @t57 @t13 @t180 @t39 @t8) (=> @t5626 (=> (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t82 @t149) (tptp.c_List_Olist__all2 @t8 @t39 @t180 (tptp.hAPP (tptp.hAPP @t5328 @t13) @t82) (tptp.hAPP (tptp.hAPP @t5472 @t57) @t149)))))) % 6.62/6.88 (assume @p4246 (forall (@list @t5384 @t5385 @t180 @t4915 @t39 @t4918 @t8) (=> @t5577 (= (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t5386 (tptp.hAPP (tptp.hAPP @t5472 @t4915) @t5384)) (and @t5623 (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t5385 @t5384)))))) % 6.62/6.88 (assume @p4247 (forall (@list @t4915 @t109 @t4918 @t60 @t180 @t39 @t8) (= (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t4974 @t5309) (and @t4030 @t5623)))) % 6.62/6.88 (assume @p4248 (forall (@list @t1196 @t4915 @t4918 @t180 @t39 @t8) (=> @t5623 (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t5090 (tptp.hAPP @t5558 @t4915))))) % 6.62/6.88 (assume @p4249 (forall @t5059 (= @t5020 (tptp.c_List_Olist__all2 @t8 @t8 tptp.c_fequal @t4918 @t4915)))) % 6.62/6.88 (assume @p4250 (forall @t5624 (=> @t5623 @t5577))) % 6.62/6.88 (assume @p4251 (forall (@list @t4915 @t180 @t39 @t8) (= (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t5253 @t4915) (= @t4915 @t5312)))) % 6.62/6.88 (assume @p4252 (forall (@list @t4918 @t180 @t39 @t8) (= (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t4918 @t5312) @t5254))) % 6.62/6.88 (assume @p4253 (forall (@list @t5627 @t3489 @t372) (= (tptp.c_Enum_Oproduct @t372 @t3489 @t5252 @t5627) @t5273))) % 6.62/6.88 (assume @p4254 (forall @t5624 (= @t5623 (and @t5577 (forall @t1033 (=> @t5058 (tptp.hBOOL (tptp.hAPP @t5109 (tptp.hAPP @t5138 @t1029))))))))) % 6.62/6.88 (assume @p4255 (forall @t5630 (=> @t5623 (=> (tptp.hBOOL (tptp.hAPP @t5629 @t4919)) @t5628)))) % 6.62/6.88 (assume @p4256 (forall @t5630 (=> @t5623 (=> (tptp.hBOOL (tptp.hAPP @t5629 @t5135)) @t5628)))) % 6.62/6.88 (assume @p4257 (forall (@list @t109 @t60 @t4915 @t180 @t39 @t4918 @t8 @t1229) (=> @t5223 (=> @t5623 (=> @t4030 @t5631))))) % 6.62/6.88 (assume @p4258 (forall (@list @t1229 @t109 @t60 @t4915 @t4918 @t180 @t39 @t8) (=> @t5623 (=> @t4030 (=> (tptp.hBOOL (tptp.hAPP @t1234 @t5135)) @t5631))))) % 6.62/6.88 (assume @p4259 (forall @t5235 (=> @t5233 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t3489) @t4907)) (tptp.hBOOL (tptp.hAPP @t5234 (tptp.c_Enum_Oproduct @t372 @t3489 @t4908 @t4907))))))) % 6.62/6.88 (assume @p4260 (forall @t5145 (= (tptp.hAPP @t5143 @t5620) (tptp.hAPP (tptp.hAPP @t4517 @t5079) (tptp.hAPP @t1736 @t5160))))) % 6.62/6.88 (assume @p4261 (forall @t5080 (= (tptp.hAPP @t5564 (tptp.hAPP @t5633 @t5632)) (tptp.hAPP @t3067 @t5079)))) % 6.62/6.88 (assume @p4262 (forall @t5225 (= (tptp.hAPP @t5634 (tptp.c_Enum_Osublists @t372 @t4908)) (tptp.hAPP @t3066 @t4913)))) % 6.62/6.88 (assume @p4263 (forall @t1171 (= (tptp.c_Enum_Osublists @t372 @t5252) @t5638))) % 6.62/6.88 (assume @p4264 (forall @t4993 (= (tptp.c_Enum_Osublists @t8 @t4974) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet @t5639 @t5639) @t5632) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5639 @t5639 @t5639) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5639 (tptp.tc_fun @t5639 @t5639) @t5639) (tptp.c_List_Oappend @t4461)) (tptp.hAPP @t5640 @t4973))) (tptp.c_COMBI @t5639)))))) % 6.62/6.88 (assume @p4265 (forall @t5080 (=> @t5228 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t52) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4461 @t52) @t5077) @t5632)))))) % 6.62/6.88 (assume @p4266 (forall @t5092 (= @t5642 (tptp.hAPP @t4986 (tptp.hAPP (tptp.hAPP @t4939 (tptp.hAPP @t4936 @t5127)) (tptp.hAPP @t5125 @t5079)))))) % 6.62/6.88 (assume @p4267 (forall @t3309 (= (tptp.c_Enum_Oenum__the @t8 @t180) @t5643))) % 6.62/6.88 (assume @p4268 (forall @t5088 (=> @t5233 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4910) @t5644))))) % 6.62/6.88 (assume @p4269 (forall (@list @t372 @t1211) (and (=> @t1994 (= @t5645 @t5638)) (=> @t1995 (= @t5645 @t5635))))) % 6.62/6.88 (assume @p4270 (forall @t5225 (= (tptp.c_Enum_On__lists @t372 @t1975 @t4908) @t5638))) % 6.62/6.88 (assume @p4271 (forall @t5104 (= (tptp.hAPP @t5634 @t5644) (tptp.hAPP (tptp.hAPP @t2018 @t4913) @t1211)))) % 6.62/6.88 (assume @p4272 (forall (@list @t4918 @t1196 @t4915 @t8) (=> (tptp.hBOOL (tptp.hAPP @t5348 @t5642)) @t4917))) % 6.62/6.88 (assume @p4273 (forall (@list @t180 @t57 @t13 @t39 @t8) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5622 (tptp.hAPP @t5143 (tptp.hAPP (tptp.hAPP @t5140 @t13) @t57)))) @t5621)) (=> @t5647 @t5626)))) % 6.62/6.88 (assume @p4274 (forall (@list @t60 @t180 @t4918 @t8) (=> @t5112 (=> @t5096 @t422)))) % 6.62/6.88 (assume @p4275 (forall @t5476 (=> @t551 (= @t5475 (tptp.hAPP @t5474 @t5648))))) % 6.62/6.88 (assume @p4276 (forall @t5652 (=> (tptp.c_Fun_Oinj__on @t8 @t39 @t2 @t5107) @t5651))) % 6.62/6.88 (assume @p4277 (forall @t5225 (tptp.hBOOL (tptp.hAPP @t5232 @t5653)))) % 6.62/6.88 (assume @p4278 (forall @t5225 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t4911 @t5653)) @t4913)))) % 6.62/6.88 (assume @p4279 (forall @t5225 (=> @t5233 (= @t5653 @t4908)))) % 6.62/6.88 (assume @p4280 (forall @t5262 (=> @t5233 (tptp.hBOOL (tptp.hAPP @t5232 @t5655))))) % 6.62/6.88 (assume @p4281 (forall @t5080 (= @t5656 @t5228))) % 6.62/6.88 (assume @p4282 (forall @t5080 (= (tptp.hAPP @t5077 @t5648) @t5079))) % 6.62/6.88 (assume @p4283 (forall @t5080 (= (= @t5657 @t4919) @t5656))) % 6.62/6.88 (assume @p4284 (forall @t5225 (= (tptp.c_List_Oremdups @t372 @t5653) @t5653))) % 6.62/6.88 (assume @p4285 (forall @t165 (= (= @t5659 @t5253) @t5658))) % 6.62/6.88 (assume @p4286 (forall @t376 (= (tptp.hAPP @t5654 @t5252) @t5252))) % 6.62/6.88 (assume @p4287 (forall @t165 (= (= @t5253 @t5659) @t5658))) % 6.62/6.88 (assume @p4288 (forall @t1171 (= (tptp.c_List_Oremdups @t372 @t5252) @t5252))) % 6.62/6.88 (assume @p4289 (forall @t5268 (and (=> @t398 (= @t5660 @t5655)) (=> @t683 (= @t5660 (tptp.hAPP @t5214 @t5655)))))) % 6.62/6.88 (assume @p4290 (forall @t5344 (= (tptp.hAPP @t5654 @t5343) (tptp.hAPP (tptp.hAPP @t5341 @t5655) (tptp.hAPP @t5654 @t4907))))) % 6.62/6.88 (assume @p4291 (forall @t5542 (= (tptp.c_List_Oremdups @t8 (tptp.hAPP @t5527 (tptp.c_List_Oremdups @t39 @t4918))) (tptp.c_List_Oremdups @t8 @t5528)))) % 6.62/6.88 (assume @p4292 (forall @t5262 (=> @t5233 (= (tptp.c_List_Oremove1 @t372 @t371 @t5653) (tptp.c_List_Oremdups @t372 @t5261))))) % 6.62/6.88 (assume @p4293 (forall @t4993 (=> @t5097 (= @t5650 @t4918)))) % 6.62/6.88 (assume @p4294 (forall @t5262 (=> @t5233 (= @t5261 @t5655)))) % 6.62/6.88 (assume @p4295 (forall @t4993 (and (=> @t5096 (= @t5661 @t5648)) (=> @t5097 (= @t5661 (tptp.hAPP @t4973 @t5648)))))) % 6.62/6.88 (assume @p4296 (forall @t5080 (= @t5657 @t5108))) % 6.62/6.88 (assume @p4297 (forall @t5652 (=> @t1022 @t5651))) % 6.62/6.88 (assume @p4298 (forall @t4993 (= (tptp.hAPP @t5077 @t5650) @t5248))) % 6.62/6.88 (assume @p4299 (forall @t5666 (= (tptp.hAPP @t4905 (tptp.c_List_Oremdups @t8 @t5665)) (tptp.hAPP @t1013 (tptp.hAPP (tptp.hAPP @t5664 @t5663) @t5077))))) % 6.62/6.88 (assume @p4300 (forall @t5080 (=> @t665 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t8 @t5079) (tptp.c_List_Olinorder__class_Osort__key @t8 @t8 @t251 @t5648))))) % 6.62/6.88 (assume @p4301 (forall @t158 (=> @t5486 (= (tptp.c_List_Olinorder__class_Osort__key @t8 @t39 @t2 @t5253) @t5253)))) % 6.62/6.88 (assume @p4302 (forall (@list @t5662 @t4918 @t8) (= (tptp.hAPP (tptp.c_List_Ofoldl @t4461 @t4461 @t5328 @t4918) @t5662) (tptp.hAPP @t5339 @t5665)))) % 6.62/6.88 (assume @p4303 (forall @t5666 (= @t5665 (tptp.hAPP (tptp.c_List_Ofoldl @t4461 @t4461 @t5328 @t5253) @t5662)))) % 6.62/6.88 (assume @p4304 (forall @t5530 (=> @t5486 (= (tptp.hAPP @t4905 @t5667) @t4919)))) % 6.62/6.88 (assume @p4305 (forall @t5530 (=> @t5486 (= (tptp.hAPP @t5077 @t5667) @t5079)))) % 6.62/6.88 (assume @p4306 (forall @t5530 (=> @t5486 (= (tptp.hBOOL (tptp.hAPP @t5226 @t5667)) @t5228)))) % 6.62/6.88 (assume @p4307 (forall @t1171 (= (tptp.c_List_Oconcat @t372 @t5635) @t5252))) % 6.62/6.88 (assume @p4308 (forall @t4963 (= (tptp.c_List_Oconcat @t372 (tptp.hAPP (tptp.hAPP @t5636 @t371) @t4908)) (tptp.hAPP (tptp.hAPP @t5341 @t371) @t5668)))) % 6.62/6.88 (assume @p4309 (forall @t5666 (= (= @t5665 @t5253) @t5671))) % 6.62/6.88 (assume @p4310 (forall @t5666 (= (= @t5253 @t5665) @t5671))) % 6.62/6.88 (assume @p4311 (forall @t5530 (= (tptp.hAPP @t5527 (tptp.c_List_Oconcat @t39 @t4918)) (tptp.c_List_Oconcat @t8 @t5673)))) % 6.62/6.88 (assume @p4312 (forall @t5666 (= (tptp.hAPP @t4905 @t5665) (tptp.hAPP @t5173 (tptp.hAPP @t5674 @t5662))))) % 6.62/6.88 (assume @p4313 (forall @t5080 (= (tptp.hAPP @t5077 @t5676) (tptp.hAPP (tptp.hAPP @t5664 @t5675) @t5077)))) % 6.62/6.88 (assume @p4314 (forall @t5492 (=> @t5486 (= (tptp.c_List_Olinorder__class_Osort__key @t8 @t39 @t2 @t4974) (tptp.hAPP @t5485 @t5667))))) % 6.62/6.88 (assume @p4315 (forall @t4914 (= (tptp.c_List_Oconcat @t372 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t4910) @t4908) @t4907)) (tptp.hAPP (tptp.hAPP @t5341 @t5668) (tptp.c_List_Oconcat @t372 @t4907))))) % 6.62/6.88 (assume @p4316 (forall @t5080 (=> @t665 (= @t5677 (tptp.hAPP (tptp.c_List_Ofoldl @t4461 @t8 (tptp.hAPP @t5294 @t5481) @t5253) @t4918))))) % 6.62/6.88 (assume @p4317 (forall @t5365 (=> @t5682 (=> @t5681 (=> @t5678 @t5020))))) % 6.62/6.88 (assume @p4318 (forall @t5365 (=> @t5678 (=> @t5681 (= @t5682 @t5020))))) % 6.62/6.88 (assume @p4319 (forall @t5542 (= (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5683 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t4461 @t4461) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t4980 @t39) @t4954) @t2)) @t5253)) @t4918)) @t5528))) % 6.62/6.88 (assume @p4320 (forall @t5092 (= (tptp.c_Enum_On__lists @t8 @t1879 @t4918) (tptp.c_List_Oconcat @t4461 (tptp.hAPP (tptp.hAPP @t5685 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4461 @t4461 @t5639) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t8 @t4461) @t5684 @t4461) (tptp.c_List_Omap @t8 @t4461)) @t5295)) @t4918)) @t5641))))) % 6.62/6.88 (assume @p4321 (forall @t5692 @t5691)) % 6.62/6.88 (assume @p4322 (forall @t5666 (= @t5689 (tptp.hAPP (tptp.hAPP @t5696 @t5446) @t5695)))) % 6.62/6.88 (assume @p4323 (forall @t5698 (= (tptp.hAPP @t5697 @t5676) (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5640 @t5697) @t4918))))) % 6.62/6.88 (assume @p4324 (forall (@list @t4918 @t2 @t180 @t8 @t39) (=> @t5486 (= (tptp.hAPP @t5699 @t5667) (tptp.c_List_Olinorder__class_Osort__key @t8 @t39 @t2 @t5700))))) % 6.62/6.88 (assume @p4325 (forall @t5115 (=> @t5228 (tptp.hBOOL (tptp.hAPP @t5226 @t5700))))) % 6.62/6.88 (assume @p4326 (forall @t5702 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t5701) @t5079)))) % 6.62/6.88 (assume @p4327 (forall @t5702 (= (= @t5700 @t4918) @t5114))) % 6.62/6.88 (assume @p4328 (forall @t5702 (= (tptp.hAPP (tptp.hAPP @t1223 @t5703) (tptp.hAPP @t4905 (tptp.hAPP (tptp.c_List_Ofilter @t8 @t3314) @t4918))) @t4919))) % 6.62/6.88 (assume @p4329 (forall @t5702 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t5703) @t4919)))) % 6.62/6.88 (assume @p4330 (forall @t5702 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t4461 @t4461) @t5607) @t5700))) % 6.62/6.88 (assume @p4331 (forall (@list @t4918 @t179 @t180 @t8) (= (tptp.hAPP @t5699 @t5705) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t342 @t179)) @t180)) @t4918)))) % 6.62/6.88 (assume @p4332 (forall (@list @t4918 @t60 @t179 @t8) (= (tptp.hAPP @t5704 @t5249) (tptp.c_List_Oremove1 @t8 @t60 @t5705)))) % 6.62/6.88 (assume @p4333 (forall @t5707 (=> @t5706 (= (tptp.c_List_Oremove1 @t8 @t60 @t5700) @t5700)))) % 6.62/6.88 (assume @p4334 (forall (@list @t4918 @t2 @t8 @t60 @t180 @t39) (=> @t5486 (=> @t5706 (= (tptp.hAPP @t5699 @t5491) @t5700))))) % 6.62/6.88 (assume @p4335 (forall @t5711 (= @t5710 (tptp.hAPP @t5527 @t5709)))) % 6.62/6.88 (assume @p4336 (forall @t3309 (= (tptp.hAPP @t5699 @t5253) @t5253))) % 6.62/6.88 (assume @p4337 (forall @t1171 (= (tptp.c_List_Otranspose @t372 @t5635) @t5635))) % 6.62/6.88 (assume @p4338 (forall @t5707 (and (=> @t422 (= @t5712 (tptp.hAPP @t4973 @t5700))) (=> @t5706 (= @t5712 @t5700))))) % 6.62/6.88 (assume @p4339 (forall @t5714 (= (tptp.hAPP @t5699 @t5349) (tptp.hAPP (tptp.hAPP @t5328 @t5700) @t5713)))) % 6.62/6.88 (assume @p4340 (forall @t5702 (= (= @t5700 @t5253) (forall @t7 (=> @t5113 @t3307))))) % 6.62/6.88 (assume @p4341 (forall @t5702 (= (tptp.c_List_Oremdups @t8 @t5700) (tptp.hAPP @t5699 @t5648)))) % 6.62/6.88 (assume @p4342 (forall @t5707 (=> @t5706 (= (tptp.hAPP @t5649 @t5700) @t5700)))) % 6.62/6.88 (assume @p4343 (forall @t165 (= @t5649 (tptp.c_List_Ofilter @t8 (tptp.hAPP @t3311 @t296))))) % 6.62/6.88 (assume @p4344 (forall @t5702 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t4461 @t4461) @t5607) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t5715 @t180)) @t4918)))) % 6.62/6.88 (assume @p4345 (forall (@list @t5716 @t372) (= (tptp.c_List_Otranspose @t372 (tptp.hAPP @t5637 @t5716)) (tptp.c_List_Otranspose @t372 @t5716)))) % 6.62/6.88 (assume @p4346 (forall @t5585 (=> @t5724 (= @t5722 (tptp.hAPP @t5719 @t5718))))) % 6.62/6.88 (assume @p4347 (forall @t5542 (= (tptp.c_List_Otranspose @t8 @t5673) (tptp.hAPP @t5672 (tptp.c_List_Otranspose @t39 @t4918))))) % 6.62/6.88 (assume @p4348 (forall @t5702 (= @t5701 (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t342 (tptp.hAPP @t202 @t5079))) @t180))))) % 6.62/6.88 (assume @p4349 (forall @t5711 (= (tptp.hAPP @t4905 @t5710) (tptp.hAPP @t5134 @t5709)))) % 6.62/6.88 (assume @p4350 (forall (@list @t180 @t4918 @t60 @t8) (=> @t5096 (=> @t5706 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t5703) @t4919)))))) % 6.62/6.88 (assume @p4351 (forall @t5586 (= (tptp.c_List_Opartition @t8 @t2 @t4918) (tptp.hAPP (tptp.hAPP @t4920 (tptp.hAPP (tptp.c_List_Ofilter @t8 @t2) @t4918)) (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t5715 @t2)) @t4918))))) % 6.62/6.88 (assume @p4352 (forall @t5725 (= (tptp.hAPP @t5227 @t1015) (tptp.hAPP @t5077 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t3311 (tptp.hAPP @t324 @t109))) @t4918))))) % 6.62/6.88 (assume @p4353 (forall @t5589 (=> @t5228 (= (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t202 (tptp.hAPP @t5077 @t5726))) @t4918) @t5726)))) % 6.62/6.88 (assume @p4354 (forall @t5080 (= (= @t5720 @t5686) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5670 @t5675)) @t5669))))) % 6.62/6.88 (assume @p4355 (forall @t5698 (= (tptp.hAPP @t4905 (tptp.hAPP @t5697 @t4918)) (tptp.hAPP @t2225 (tptp.hAPP @t3280 (tptp.hAPP @t4946 (tptp.hAPP (tptp.hAPP @t5071 @t2488) @t5050))))))) % 6.62/6.88 (assume @p4356 (forall @t5666 (= @t5688 (tptp.hAPP (tptp.hAPP @t5640 @t5463) @t5695)))) % 6.62/6.88 (assume @p4357 (forall @t5692 (=> (tptp.hBOOL (tptp.hAPP @t5727 @t5690)) @t5691))) % 6.62/6.88 (assume @p4358 (forall @t5666 (=> (tptp.hBOOL (tptp.hAPP @t5727 @t5728)) (= (tptp.c_List_Otranspose @t8 @t5728) (tptp.c_List_Otranspose @t8 @t5662))))) % 6.62/6.88 (assume @p4359 (forall (@list @t5729 @t4918 @t180 @t8) (= (tptp.hAPP @t5735 (tptp.hAPP (tptp.c_List_Ofilter @t5733 (tptp.hAPP @t5734 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5733) tptp.c_Nat_OSuc) @t5732))) (tptp.hAPP @t5731 @t5729))) (tptp.hAPP @t5735 (tptp.hAPP (tptp.c_List_Ofilter @t5733 (tptp.hAPP @t5734 @t5732)) (tptp.hAPP @t5731 (tptp.hAPP @t5730 @t5729))))))) % 6.62/6.88 (assume @p4360 (forall @t5080 (= (tptp.c_Random_Oselect__weight @t8 @t5736) @t4990))) % 6.62/6.88 (assume @p4361 (forall @t5080 (= (tptp.c_Random_Opick @t8 @t5736) @t5583))) % 6.62/6.88 (assume @p4362 (forall @t54 (=> (tptp.hBOOL (tptp.hAPP @t5727 @t5686)) (= (tptp.c_List_Otranspose @t8 @t5686) @t5686)))) % 6.62/6.88 (assume @p4363 (forall @t5080 (= (tptp.c_List_Ofoldr @t4461 tptp.tc_Nat_Onat @t5737 @t5720 @t1975) (tptp.hAPP @t5679 (tptp.hAPP @t5694 @t4918))))) % 6.62/6.88 (assume @p4364 (forall (@list @t5662 @t39 @t4918 @t8) (= (tptp.hAPP (tptp.hAPP @t1393 @t5493) (tptp.c_List_Ofoldr @t5133 tptp.tc_Nat_Onat (tptp.hAPP @t5739 @t5134) @t5662 @t1975)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1393 @t4919) (tptp.c_List_Ofoldr @t5133 tptp.tc_Nat_Onat (tptp.hAPP @t5739 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5133 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t5738 @t467) @t5134)) @t1976)) (tptp.hAPP (tptp.c_List_Ofilter @t5133 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5133) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5133 @t5133 tptp.tc_HOL_Obool) tptp.c_fequal) @t5312))) @t5662) @t1975)))))) % 6.62/6.88 (assume @p4365 (forall (@list @t13 @t2 @t8 @t39) (= (tptp.c_List_Ofoldr @t39 @t8 @t2 @t5312 @t13) @t13))) % 6.62/6.88 (assume @p4366 (forall (@list @t13 @t4918 @t60 @t2 @t8 @t39) (= (tptp.c_List_Ofoldr @t39 @t8 @t2 @t5470 @t13) (tptp.hAPP @t64 @t5740)))) % 6.62/6.88 (assume @p4367 (forall (@list @t13 @t4915 @t4918 @t2 @t8 @t39) (= (tptp.c_List_Ofoldr @t39 @t8 @t2 @t5473 @t13) (tptp.c_List_Ofoldr @t39 @t8 @t2 @t4918 (tptp.c_List_Ofoldr @t39 @t8 @t2 @t4915 @t13))))) % 6.62/6.88 (assume @p4368 (forall (@list @t13 @t4918 @t8) (=> (tptp.class_Groups_Oab__semigroup__add @t8) (= (tptp.c_List_Ofoldr @t8 @t8 @t587 @t4918 @t13) @t5741)))) % 6.62/6.88 (assume @p4369 (forall (@list @t13 @t4918 @t2 @t125 @t1 @t8 @t39) (= (tptp.c_List_Ofoldr @t39 @t8 @t1 @t5525 @t13) (tptp.c_List_Ofoldr @t125 @t8 (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t473 @t125 @t1) @t2) @t4918 @t13)))) % 6.62/6.88 (assume @p4370 (forall @t5080 (=> @t5468 (= (tptp.hAPP @t5467 @t4918) @t5742)))) % 6.62/6.88 (assume @p4371 (forall @t5743 (=> @t5468 (= @t5741 (tptp.hAPP @t593 @t5742))))) % 6.62/6.88 (assume @p4372 (forall @t5080 (= @t5723 (tptp.c_List_Ofoldr @t4461 tptp.tc_Nat_Onat @t5737 @t4918 @t1975)))) % 6.62/6.88 (assume @p4373 (forall @t5119 (= (tptp.c_List_Osublist @t8 @t4918 @t45) (tptp.hAPP @t5735 (tptp.hAPP @t5748 @t5745))))) % 6.62/6.88 (assume @p4374 (forall (@list @t1229 @t4918 @t45 @t8) (= (tptp.hAPP @t5735 (tptp.hAPP @t5748 (tptp.hAPP @t5731 (tptp.c_List_Oupt @t1229 (tptp.hAPP @t1230 @t4919))))) (tptp.hAPP @t5735 (tptp.hAPP (tptp.c_List_Ofilter @t5733 (tptp.hAPP (tptp.hAPP @t5747 (tptp.hAPP @t5746 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5733 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2962 @t5733) @t1223) @t5732)) @t1229))) @t45)) @t5745))))) % 6.62/6.88 (assume @p4375 (forall @t2461 (= @t5750 @t2449))) % 6.62/6.88 (assume @p4376 (forall @t2461 (= @t2449 @t5750))) % 6.62/6.88 (assume @p4377 (forall @t1369 @t5757)) % 6.62/6.88 (assume @p4378 (forall @t1369 (and @t5757 (=> (not @t1263) (= @t5756 @t5751))))) % 6.62/6.88 (assume @p4379 (forall @t1270 (=> @t1263 (= (tptp.c_List_Oupt @t1261 @t1266) (tptp.hAPP @t5755 (tptp.c_List_Oupt @t1217 @t1266)))))) % 6.62/6.88 (assume @p4380 (forall @t1369 (and @t5759 (=> (not @t1366) @t5758)))) % 6.62/6.88 (assume @p4381 (forall @t1369 @t5759)) % 6.62/6.88 (assume @p4382 (forall @t2461 (= (= @t5749 @t5751) (or (= @t1228 @t1975) @t1433)))) % 6.62/6.88 (assume @p4383 (forall @t1368 (=> @t1440 @t5758))) % 6.62/6.88 (assume @p4384 (forall @t3193 (= (tptp.c_List_Oupt @t1261 @t1975) @t5751))) % 6.62/6.88 (assume @p4385 (forall @t2025 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t1935) @t1211)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t793) (tptp.c_List_Oupt @t1261 @t1211)) (tptp.c_List_Oupt @t1261 @t1935))))) % 6.62/6.88 (assume @p4386 (forall @t1251 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t2467) @t5760))) % 6.62/6.88 (assume @p4387 (forall @t1369 (=> @t1366 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t5753) @t1261)))) % 6.62/6.88 (assume @p4388 (forall (@list @t1217 @t1261 @t793) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t793) @t5753) (tptp.c_List_Oupt @t1935 @t1217)))) % 6.62/6.88 (assume @p4389 (forall @t1369 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t5753)))) % 6.62/6.88 (assume @p4390 (forall @t1369 (= (tptp.hAPP @t5179 @t5753) @t1442))) % 6.62/6.88 (assume @p4391 (forall @t1227 (and (=> @t5764 (= @t5763 (tptp.hAPP (tptp.hAPP @t5752 @t5762) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t5762) @t5761)))) (=> (not @t5764) (= @t5763 @t5751))))) % 6.62/6.88 (assume @p4392 (forall (@list @t4918 @t60 @t1228 @t1229) (= (= @t5749 (tptp.hAPP (tptp.hAPP @t5752 @t60) @t4918)) (and (tptp.hBOOL (tptp.hAPP @t1234 @t1228)) (= @t1229 @t60) (= (tptp.c_List_Oupt (tptp.hAPP @t1230 @t1193) @t1228) @t4918))))) % 6.62/6.88 (assume @p4393 (forall @t1369 (=> @t1366 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t5753) (tptp.hAPP @t1218 @t1193))))) % 6.62/6.88 (assume @p4394 (forall @t1251 (= (tptp.hAPP @t5730 @t5760) (tptp.c_List_Oupt @t1874 @t1879)))) % 6.62/6.88 (assume @p4395 (forall @t1878 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1196 @t307) (tptp.hAPP @t5170 (tptp.c_List_Oupt @t1196 @t1874))))) % 6.62/6.88 (assume @p4396 (forall @t1954 (= @t2215 (tptp.hAPP @t5170 @t5765)))) % 6.62/6.88 (assume @p4397 (forall (@list @t1217 @t1216 @t1261) (=> (tptp.hBOOL (tptp.hAPP @t1365 @t1217)) (= (tptp.hAPP (tptp.hAPP @t5176 @t5753) @t1216) @t1268)))) % 6.62/6.88 (assume @p4398 (forall @t1878 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t1196 @t307) (tptp.hAPP @t5170 (tptp.c_List_Oupt @t1879 @t1874))))) % 6.62/6.88 (assume @p4399 (forall @t1878 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t1196 @t307) (tptp.hAPP @t5170 (tptp.c_List_Oupt @t1879 @t307))))) % 6.62/6.88 (assume @p4400 (forall @t1954 (= @t3000 (tptp.hAPP @t5170 (tptp.c_List_Oupt @t1975 @t1879))))) % 6.62/6.88 (assume @p4401 (forall @t5080 (= (tptp.hAPP (tptp.hAPP @t5766 @t5050) @t5744) @t4918))) % 6.62/6.88 (assume @p4402 (forall @t2471 (=> @t444 (= @t5769 @t5768)))) % 6.62/6.88 (assume @p4403 (forall @t2471 (=> @t444 (= @t5768 @t5769)))) % 6.62/6.88 (assume @p4404 (forall (@list @t2 @t8 @t307 @t1196 @t1229) (=> (tptp.hBOOL (tptp.hAPP @t1234 @t2141)) (= (tptp.hAPP (tptp.hAPP @t5048 @t5767) @t1229) (tptp.hAPP @t2 (tptp.hAPP @t1246 @t1229)))))) % 6.62/6.88 (assume @p4405 (forall (@list @t1196 @t8 @t4918) (=> (=> @t5771 @t1987) (=> (forall @t1033 (=> (tptp.hBOOL (tptp.hAPP @t3264 @t5680)) (= (tptp.hAPP @t4905 (tptp.hAPP @t5770 @t1029)) @t1196))) (= @t5720 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t4461) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t5178 @t4461) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5072 (tptp.tc_fun @t5178 @t4461) tptp.tc_Nat_Onat) @t5766) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t8) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4461 @t5072 tptp.tc_Nat_Onat) @t5048) @t5770)))) (tptp.c_List_Oupt @t1975 @t5680))) @t5765)))))) % 6.62/6.88 (assume @p4406 (forall (@list @t2 @t4918 @t13 @t8 @t39) (=> @t5486 (=> @t5155 (=> @t5773 (=> (= (tptp.hAPP @t5446 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP (tptp.hAPP @t3316 (tptp.hAPP tptp.c_fequal @t161)) @t2)) @t4918)) @t13) (= (tptp.hAPP @t5498 @t5772) @t4918))))))) % 6.62/6.88 (assume @p4407 (forall @t1171 (=> @t385 (tptp.c_List_Olinorder__class_Osorted @t372 @t5252)))) % 6.62/6.88 (assume @p4408 (forall @t376 (=> @t385 (tptp.c_List_Olinorder__class_Osorted @t372 @t5279)))) % 6.62/6.88 (assume @p4409 (forall @t1369 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t5753))) % 6.62/6.88 (assume @p4410 (forall @t5080 (=> @t665 (tptp.c_List_Olinorder__class_Osorted @t8 @t5677)))) % 6.62/6.88 (assume @p4411 (forall @t5083 (=> @t665 (=> @t5774 (tptp.c_List_Olinorder__class_Osorted @t8 @t5504))))) % 6.62/6.88 (assume @p4412 (forall @t5088 (=> @t385 (=> @t5775 (tptp.c_List_Olinorder__class_Osorted @t372 @t5409))))) % 6.62/6.88 (assume @p4413 (forall @t1369 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t5229))) % 6.62/6.88 (assume @p4414 (forall @t5088 (=> @t385 (=> @t5775 (tptp.c_List_Olinorder__class_Osorted @t372 @t5086))))) % 6.62/6.88 (assume @p4415 (forall (@list @t403 @t4908 @t372) (=> @t385 (=> @t5775 (tptp.c_List_Olinorder__class_Osorted @t372 (tptp.c_List_Oremove1 @t372 @t403 @t4908)))))) % 6.62/6.88 (assume @p4416 (forall @t5225 (=> @t385 (=> @t5775 (tptp.c_List_Olinorder__class_Osorted @t372 @t5451))))) % 6.62/6.88 (assume @p4417 (forall @t4993 (=> @t665 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t5494) @t5774)))) % 6.62/6.88 (assume @p4418 (forall @t5225 (=> @t385 (=> @t5259 (=> @t5775 (tptp.c_List_Olinorder__class_Osorted @t372 @t5197)))))) % 6.62/6.88 (assume @p4419 (forall @t5272 (=> @t385 (=> @t384 (=> (tptp.c_List_Olinorder__class_Osorted @t372 @t5776) (tptp.c_List_Olinorder__class_Osorted @t372 (tptp.hAPP @t4958 @t5776))))))) % 6.62/6.88 (assume @p4420 (forall @t5466 (=> @t665 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t4973 @t5777)) (and @t426 (tptp.c_List_Olinorder__class_Osorted @t8 @t5777)))))) % 6.62/6.88 (assume @p4421 (forall (@list @t1208 @t372) (=> @t385 (=> (tptp.c_List_Olinorder__class_Osorted @t372 @t1208) (tptp.c_List_Olinorder__class_Osorted @t372 (tptp.c_List_Oremdups @t372 @t1208)))))) % 6.62/6.88 (assume @p4422 (forall @t5365 (=> @t665 (=> @t5774 (=> @t5228 (=> @t5779 (=> @t5390 @t5778))))))) % 6.62/6.88 (assume @p4423 (forall @t5542 (=> @t665 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5527 (tptp.c_List_Olinorder__class_Osort__key @t39 @t8 @t2 @t4918)))))) % 6.62/6.88 (assume @p4424 (forall @t5781 (=> @t665 (=> @t5780 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5527 @t5500)))))) % 6.62/6.88 (assume @p4425 (forall @t5781 (=> @t665 (=> @t5780 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5527 (tptp.c_List_Oremove1 @t39 @t60 @t4918))))))) % 6.62/6.88 (assume @p4426 (forall @t5652 (=> @t665 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5527 @t5497)) @t5780)))) % 6.62/6.88 (assume @p4427 (forall (@list @t180 @t4918 @t2 @t39 @t8) (=> @t665 (=> @t5780 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5527 @t5783)))))) % 6.62/6.88 (assume @p4428 (forall @t5548 (=> @t665 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5527 (tptp.hAPP (tptp.c_List_Ofilter @t39 (tptp.hAPP (tptp.hAPP @t3382 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t52 @t39) tptp.c_fequal) @t2)) @t5784)) @t4918)))))) % 6.62/6.88 (assume @p4429 (forall (@list @t4918 @t1 @t8) (=> @t665 (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP (tptp.c_List_Ofilter @t8 (tptp.hAPP @t324 @t5784)) @t4918))))) % 6.62/6.88 (assume @p4430 (forall @t4993 (=> @t665 (= @t5786 (and @t5774 @t5785))))) % 6.62/6.88 (assume @p4431 (forall @t5365 (=> @t665 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t5349) (and @t5774 @t5779 (forall @t7 (=> @t5113 (forall @t458 (=> (tptp.hBOOL (tptp.hAPP @t456 @t5363)) @t5787))))))))) % 6.62/6.88 (assume @p4432 (forall (@list @t60 @t180 @t4918 @t2 @t39 @t8) (=> @t665 (=> @t5780 (=> @t422 (= (tptp.hAPP @t5782 @t5497) (tptp.hAPP @t5488 @t5783))))))) % 6.62/6.88 (assume @p4433 (forall (@list @t193 @t192 @t8) (=> @t665 (= (tptp.c_List_Olinorder__class_Osorted @t8 (tptp.hAPP @t5038 @t193)) (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t129 (tptp.hAPP @t5077 @t193))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t192) @t3)))) (tptp.c_List_Olinorder__class_Osorted @t8 @t193)))))) % 6.62/6.88 (assume @p4434 (forall @t118 (=> @t665 (=> @t50 (and (= (tptp.hAPP @t5077 @t5317) @t45) (tptp.c_List_Olinorder__class_Osorted @t8 @t5317) (tptp.hBOOL (tptp.hAPP @t5226 @t5317))))))) % 6.62/6.88 (assume @p4435 (forall @t5743 (=> @t665 (=> @t5155 (=> @t5774 (= (tptp.hAPP (tptp.hAPP @t5481 @t13) @t5772) @t4918)))))) % 6.62/6.88 (assume @p4436 (forall @t5080 (=> @t665 (= @t5774 (forall @t2133 (=> @t5239 (forall @t1033 (=> @t5788 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t5057) @t5238)))))))))) % 6.62/6.88 (assume @p4437 (forall @t5790 (=> @t385 (=> @t5775 (=> @t1263 (=> @t5789 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t5093) @t5191)))))))) % 6.62/6.88 (assume @p4438 (forall @t5554 (=> @t5486 (=> @t5562 (=> @t5773 (=> (tptp.hBOOL (tptp.hAPP @t5563 @t5521)) (=> (tptp.c_List_Olinorder__class_Osorted @t39 @t5549) (=> (tptp.hBOOL (tptp.hAPP @t5563 @t5549)) @t5778)))))))) % 6.62/6.88 (assume @p4439 (forall @t5796 (=> @t5795 (=> @t5793 (= (tptp.hAPP @t5719 @t5792) @t5791))))) % 6.62/6.88 (assume @p4440 (forall @t5242 (=> @t5795 (=> @t5724 (=> (tptp.hBOOL (tptp.hAPP @t5241 (tptp.hAPP @t5679 @t5718))) (= (tptp.hAPP (tptp.hAPP @t5048 @t5722) @t1228) (tptp.hAPP (tptp.hAPP @t5048 (tptp.hAPP @t5770 @t1228)) @t1229))))))) % 6.62/6.88 (assume @p4441 (forall @t118 (tptp.c_Fun_Oinj__on @t4461 @t4461 @t5797 @t45))) % 6.62/6.88 (assume @p4442 (forall @t5080 (= (tptp.hBOOL (tptp.hAPP @t5226 @t5798)) @t5228))) % 6.62/6.88 (assume @p4443 (forall @t5080 (= (= @t5798 @t5253) @t5254))) % 6.62/6.88 (assume @p4444 (forall @t5080 (= (= @t5253 @t5798) @t5254))) % 6.62/6.88 (assume @p4445 (forall @t1171 (= (tptp.hAPP @t5799 @t5252) @t5252))) % 6.62/6.88 (assume @p4446 (forall @t4993 (= (= @t5285 @t5798) @t5800))) % 6.62/6.88 (assume @p4447 (forall @t5083 (= (= @t5798 @t5285) @t5800))) % 6.62/6.88 (assume @p4448 (forall @t4914 (= (tptp.hAPP @t5799 @t5343) (tptp.hAPP (tptp.hAPP @t5341 (tptp.hAPP @t5799 @t4907)) @t5801)))) % 6.62/6.88 (assume @p4449 (forall @t5080 (= (tptp.hAPP @t5797 @t5676) (tptp.c_List_Oconcat @t8 (tptp.hAPP (tptp.hAPP @t5640 @t5797) (tptp.hAPP (tptp.c_List_Orev @t4461) @t4918)))))) % 6.62/6.88 (assume @p4450 (forall @t5542 (= @t5804 (tptp.hAPP @t5527 @t5803)))) % 6.62/6.88 (assume @p4451 (forall @t5702 (= (tptp.hAPP @t5797 @t5700) (tptp.hAPP @t5699 @t5798)))) % 6.62/6.88 (assume @p4452 (forall @t5235 (=> (= @t4913 @t5153) (= (tptp.hAPP (tptp.hAPP @t5147 @t5801) (tptp.hAPP (tptp.c_List_Orev @t3489) @t4907)) (tptp.hAPP (tptp.c_List_Orev @t5150) @t5149))))) % 6.62/6.88 (assume @p4453 (forall @t5080 (= (tptp.hAPP @t5077 @t5798) @t5079))) % 6.62/6.88 (assume @p4454 (forall @t5624 (= (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t5798 @t5805) @t5623))) % 6.62/6.88 (assume @p4455 (forall @t5624 (= (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t5798 @t4915) (tptp.c_List_Olist__all2 @t8 @t39 @t180 @t4918 @t5805)))) % 6.62/6.88 (assume @p4456 (forall @t5225 (= (tptp.hAPP @t5799 @t5801) @t4908))) % 6.62/6.88 (assume @p4457 (forall @t5365 (= (= @t5798 @t4915) (= @t4918 @t5806)))) % 6.62/6.88 (assume @p4458 (forall @t5365 (= (= @t5798 @t5806) @t5020))) % 6.62/6.88 (assume @p4459 (forall @t5225 (=> @t2000 (= (tptp.hAPP @t5181 @t5801) @t5182)))) % 6.62/6.88 (assume @p4460 (forall @t5225 (= (tptp.hAPP @t4911 @t5801) @t4913))) % 6.62/6.88 (assume @p4461 (forall (@list @t13 @t4918 @t2 @t8 @t39) (= @t5740 (tptp.hAPP (tptp.c_List_Ofoldl @t8 @t39 (tptp.hAPP @t730 @t2) @t13) @t5803)))) % 6.62/6.88 (assume @p4462 (forall (@list @t4918 @t13 @t2 @t39 @t8) (= @t5471 (tptp.c_List_Ofoldr @t39 @t8 (tptp.hAPP (tptp.c_COMBC @t8 @t39 @t8) @t2) @t5803 @t13)))) % 6.62/6.88 (assume @p4463 (forall (@list @t4915 @t109 @t4918 @t8) (= (= @t5798 @t4972) (= @t4918 (tptp.hAPP (tptp.hAPP @t5328 @t5806) @t5337))))) % 6.62/6.88 (assume @p4464 (forall @t4963 (= (tptp.hAPP @t5799 @t4961) (tptp.hAPP (tptp.hAPP @t5341 @t5801) @t5279)))) % 6.62/6.88 (assume @p4465 (forall @t5260 (=> @t5259 (= (tptp.hAPP @t5439 @t5801) @t5505)))) % 6.62/6.88 (assume @p4466 (forall @t5260 (=> @t5259 (= (tptp.c_List_Olast @t372 @t5801) @t5442)))) % 6.62/6.88 (assume @p4467 (forall @t5080 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5794 (tptp.hAPP @t5674 @t5720))))) % 6.62/6.88 (assume @p4468 (forall @t5080 (= @t5798 (tptp.hAPP (tptp.c_List_Ofoldl @t4461 @t8 @t5295 @t5253) @t4918)))) % 6.62/6.88 (assume @p4469 (forall @t5808 (= (tptp.hAPP @t5799 @t5412) (tptp.hAPP (tptp.hAPP @t5084 @t5807) @t5801)))) % 6.62/6.88 (assume @p4470 (forall @t5808 (= (tptp.hAPP @t5799 @t5231) (tptp.hAPP (tptp.hAPP @t5406 @t5807) @t5801)))) % 6.62/6.88 (assume @p4471 (forall @t5104 (= (tptp.hAPP @t5454 @t5801) (tptp.hAPP @t5799 (tptp.hAPP (tptp.c_List_Orotate @t372 (tptp.hAPP @t5201 @t5453)) @t4908))))) % 6.62/6.88 (assume @p4472 (forall @t5186 (=> @t5224 (= (tptp.hAPP (tptp.hAPP @t5060 @t5801) @t1211) (tptp.hAPP @t5062 (tptp.hAPP @t5201 @t1853)))))) % 6.62/6.88 (assume @p4473 (forall (@list @t381 @t4908 @t372 @t1216) (=> (tptp.hBOOL (tptp.hAPP @t1363 @t4913)) (= (tptp.hAPP @t5799 (tptp.hAPP @t5198 @t381)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t372 @t5801) (tptp.hAPP (tptp.hAPP @t467 (tptp.hAPP @t5201 @t1216)) @t1193)) @t381))))) % 6.62/6.88 (assume @p4474 (forall @t5790 (=> @t385 (=> (tptp.c_List_Olinorder__class_Osorted @t372 @t5801) (=> @t1263 (=> @t5789 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t5191) @t5093)))))))) % 6.62/6.88 (assume @p4475 (forall @t5725 (=> @t665 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5798) (and (=> @t5254 (= @t5809 @t109)) (=> @t5278 (= @t5809 (tptp.hAPP (tptp.hAPP @t802 (tptp.hAPP @t5050 @t1975)) @t109)))))))) % 6.62/6.88 (assume @p4476 (forall @t5080 (=> @t5795 (and (=> @t5771 (= @t5723 @t1975)) (=> (not @t5771) (= @t5723 (tptp.hAPP @t4905 (tptp.hAPP @t5770 @t1975)))))))) % 6.62/6.88 (assume @p4477 (forall @t5796 (=> @t5795 (=> @t5793 (= (tptp.hAPP @t5679 @t5792) (tptp.hAPP @t4905 @t5791)))))) % 6.62/6.88 (assume @p4478 (forall @t5080 (=> @t5795 (= (tptp.c_List_Otranspose @t8 @t5720) (tptp.c_List_OtakeWhile @t4461 @t5693 @t4918))))) % 6.62/6.88 (assume @p4479 (= @t5751 (tptp.c_List_Oreturn__list @t5269))) % 6.62/6.88 (assume @p4480 (forall @t5115 (=> @t665 (=> @t5774 (tptp.c_List_Olinorder__class_Osorted @t8 @t5810))))) % 6.62/6.88 (assume @p4481 (forall @t5702 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t5811) @t4919)))) % 6.62/6.88 (assume @p4482 (forall (@list @t4918 @t180 @t60 @t8) (=> (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t5077 @t5810))) (and @t5096 @t422)))) % 6.62/6.88 (assume @p4483 (forall @t5702 (= (= @t5810 @t4918) @t5114))) % 6.62/6.88 (assume @p4484 (forall (@list @t4915 @t180 @t4918 @t39 @t8) (= (tptp.hAPP @t5141 (tptp.c_List_OtakeWhile @t39 @t180 @t4915)) (tptp.c_List_OtakeWhile @t1065 (tptp.hAPP (tptp.c_Fun_Ocomp @t39 tptp.tc_HOL_Obool @t1065 @t180) @t4207) @t5142)))) % 6.62/6.88 (assume @p4485 (forall @t5624 (= (tptp.hAPP (tptp.hAPP @t5140 @t5810) @t4915) (tptp.c_List_OtakeWhile @t1065 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 tptp.tc_HOL_Obool @t1065 @t180) @t4200) @t5142)))) % 6.62/6.88 (assume @p4486 (forall @t5711 (= (tptp.c_List_OtakeWhile @t8 @t180 @t5528) (tptp.hAPP @t5527 (tptp.c_List_OtakeWhile @t39 @t5708 @t4918))))) % 6.62/6.88 (assume @p4487 (forall (@list @t1455 @t4918 @t8 @t60 @t180) (=> @t5706 (= (tptp.c_List_OtakeWhile @t8 @t180 (tptp.hAPP @t5339 @t5329)) @t5810)))) % 6.62/6.88 (assume @p4488 (forall @t5707 (and (=> @t422 (= @t5812 (tptp.hAPP @t4973 @t5810))) (=> @t5706 (= @t5812 @t5253))))) % 6.62/6.88 (assume @p4489 (forall @t3309 (= (tptp.c_List_OtakeWhile @t8 @t180 @t5253) @t5253))) % 6.62/6.88 (assume @p4490 (forall @t5702 (= @t5810 (tptp.hAPP (tptp.hAPP @t5069 @t5811) @t4918)))) % 6.62/6.88 (assume @p4491 (forall @t5115 (=> @t5228 (tptp.hBOOL (tptp.hAPP @t5226 @t5810))))) % 6.62/6.88 (assume @p4492 (forall @t3787 (= (tptp.c_List_Oreturn__list @t1455) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint tptp.tc_Nat_Onat) tptp.c_Int_Onat) @t1455)))) % 6.62/6.88 (assume @p4493 (forall @t5814 (=> @t5096 (=> @t5706 (= @t5813 @t5810))))) % 6.62/6.88 (assume @p4494 (forall @t5815 (=> (tptp.hBOOL (tptp.hAPP @t5241 @t5811)) (= (tptp.hAPP (tptp.hAPP @t5048 @t5810) @t1228) @t5240)))) % 6.62/6.88 (assume @p4495 (forall @t5702 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 @t5811) @t4919)) (not (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t5050 @t5811))))))) % 6.62/6.88 (assume @p4496 (forall @t5448 (=> @t5278 (=> @t5228 (= (tptp.c_List_OtakeWhile @t8 (tptp.hAPP @t3311 (tptp.hAPP @t324 @t5520)) @t4918) @t5217))))) % 6.62/6.88 (assume @p4497 (forall (@list @t29 @t4918 @t2 @t39 @t8) (=> @t665 (=> (tptp.c_List_Olinorder__class_Osorted @t8 @t5804) (= (tptp.hAPP (tptp.c_List_Ofilter @t39 @t5817) @t4918) (tptp.c_List_OtakeWhile @t39 @t5817 @t4918)))))) % 6.62/6.88 (assume @p4498 (forall @t3734 (=> (tptp.c_List_Onat__list @t1208) (= (tptp.c_List_Oembed__list (tptp.c_List_Oreturn__list @t1208)) @t1208)))) % 6.62/6.88 (assume @p4499 (forall (@list @t793 @t1208) (= (tptp.hAPP (tptp.hAPP @t5754 @t1208) @t793) (tptp.c_List_Oreturn__list (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Int_Oint) (tptp.c_List_Oembed__list @t1208)) (tptp.c_List_Oembed__list @t793)))))) % 6.62/6.88 (assume @p4500 (forall @t3787 (= (tptp.c_List_Oembed__list @t1455) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Int_Oint) @t2264) @t1455)))) % 6.62/6.88 (assume @p4501 (forall @t5083 (=> @t5228 (=> @t5096 (= (tptp.c_List_OtakeWhile @t8 @t5818 @t5798) (tptp.hAPP @t5797 (tptp.hAPP @t5463 (tptp.c_List_OdropWhile @t8 @t5818 @t4918)))))))) % 6.62/6.88 (assume @p4502 (forall @t5083 (=> @t5228 (=> @t5096 (= (tptp.c_List_OdropWhile @t8 @t5818 @t5798) (tptp.hAPP @t4973 (tptp.hAPP @t5797 (tptp.c_List_OtakeWhile @t8 @t5818 @t4918)))))))) % 6.62/6.88 (assume @p4503 (forall @t5702 (= (tptp.hAPP @t5820 @t5819) @t4918))) % 6.62/6.88 (assume @p4504 (forall @t5702 (=> (not @t5821) (not (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t5446 @t5819))))))) % 6.62/6.88 (assume @p4505 (forall @t5115 (=> @t665 (=> @t5774 (tptp.c_List_Olinorder__class_Osorted @t8 @t5819))))) % 6.62/6.88 (assume @p4506 (forall @t5702 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1144 @t5822) @t4919)))) % 6.62/6.88 (assume @p4507 (forall @t5702 (= @t5821 @t5114))) % 6.62/6.88 (assume @p4508 (forall @t5707 (and (=> @t422 (= @t5823 @t5819)) (=> @t5706 (= @t5823 @t4974))))) % 6.62/6.88 (assume @p4509 (forall @t3309 (= (tptp.c_List_OdropWhile @t8 @t180 @t5253) @t5253))) % 6.62/6.88 (assume @p4510 (forall @t5115 (=> @t5228 (tptp.hBOOL (tptp.hAPP @t5226 @t5819))))) % 6.62/6.88 (assume @p4511 (forall @t5711 (= (tptp.c_List_OdropWhile @t8 @t180 @t5528) (tptp.hAPP @t5527 (tptp.c_List_OdropWhile @t39 @t5708 @t4918))))) % 6.62/6.88 (assume @p4512 (forall @t5814 (=> @t5096 (=> @t5706 (= @t5824 (tptp.hAPP (tptp.hAPP @t5328 @t5819) @t4915)))))) % 6.62/6.88 (assume @p4513 (forall (@list @t4915 @t109 @t4918 @t180 @t8) (= (= @t5819 @t4972) (and (= @t4918 (tptp.hAPP @t5820 @t4972)) (not @t4636))))) % 6.62/6.88 (assume @p4514 (forall @t5702 (= @t5819 (tptp.hAPP (tptp.hAPP @t5420 @t5811) @t4918)))) % 6.62/6.88 (assume @p4515 (forall @t5815 (=> (tptp.hBOOL (tptp.hAPP @t5241 @t5822)) (= (tptp.hAPP (tptp.hAPP @t5048 @t5819) @t1228) (tptp.hAPP @t5050 (tptp.hAPP @t2446 @t5811)))))) % 6.62/6.88 (assume @p4516 (forall (@list @t2 @t180 @t4918 @t8 @t39) (=> @t5601 (=> (forall @t7 (=> @t5113 (=> @t3307 @t2126))) (= (tptp.hAPP @t5565 (tptp.hAPP @t5518 @t5700)) @t5566))))) % 6.62/6.88 (assume @p4517 (forall @t5225 (=> @t385 (=> (forall @t2740 (=> @t5788 (=> (tptp.hBOOL (tptp.hAPP @t2132 @t4913)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t373 @t5247) (tptp.hAPP @t5062 @t2131)))))) @t5775)))) % 6.62/6.88 (assume @p4518 (forall @t5702 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t129 (tptp.hAPP @t5077 @t5819))) @t3307)) (= @t5810 @t5700)))) % 6.62/6.88 (assume @p4519 (forall @t5826 (=> (forall @t1033 (=> @t3265 @t5111)) (=> (=> @t5122 (not @t5825)) (= @t5810 @t5090))))) % 6.62/6.88 (assume @p4520 (forall (@list @t4918 @t8 @t180 @t1228) (=> (forall @t1033 (=> (tptp.hBOOL (tptp.hAPP @t3264 @t1228)) @t5110)) (=> (tptp.hBOOL (tptp.hAPP @t1418 @t4919)) (tptp.hBOOL (tptp.hAPP @t1418 @t5811)))))) % 6.62/6.88 (assume @p4521 (forall @t14 (=> @t665 (= (tptp.c_List_Olinorder__class_Osorted @t8 @t13) (or @t5515 (exists (@list @t5033 @t3) (and (= @t13 @t5035) (forall @t458 (=> (tptp.hBOOL (tptp.hAPP @t456 (tptp.hAPP @t5077 @t5033))) @t5787)) (tptp.c_List_Olinorder__class_Osorted @t8 @t5033)))))))) % 6.62/6.88 (assume @p4522 (forall @t4993 (and @t5829 @t5828))) % 6.62/6.88 (assume @p4523 (forall @t4993 @t5828)) % 6.62/6.88 (assume @p4524 (forall @t4963 (= (tptp.c_List_Oinsert @t372 @t371 @t5653) (tptp.c_List_Oremdups @t372 @t5830)))) % 6.62/6.88 (assume @p4525 (forall @t5262 (=> @t5233 (tptp.hBOOL (tptp.hAPP @t5232 @t5830))))) % 6.62/6.88 (assume @p4526 (forall @t4993 @t5829)) % 6.62/6.88 (assume @p4527 (forall @t4993 (= (tptp.hAPP @t5077 @t5827) @t5107))) % 6.62/6.88 (assume @p4528 (forall @t376 (= (tptp.c_List_Oinsert @t372 @t371 @t5252) @t5279))) % 6.62/6.88 (assume @p4529 (forall @t5530 (= @t5832 @t5831))) % 6.62/6.88 (assume @p4530 (forall @t5542 (= @t5831 @t5832))) % 6.62/6.88 (assume @p4531 (forall @t158 (= (tptp.c_List_Omaps @t39 @t8 @t2 @t5312) @t5253))) % 6.62/6.88 (assume @p4532 (forall @t5492 (= (tptp.c_List_Omaps @t39 @t8 @t2 @t5470) (tptp.hAPP (tptp.hAPP @t5328 @t64) @t5832)))) % 6.62/6.88 (assume @p4533 (forall @t5080 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4461) @t4918)) (=> (forall @t5838 (=> @t5837 (tptp.hBOOL (tptp.hAPP @t5226 @t5040)))) (=> (forall @t5838 (=> @t5837 (forall @t5836 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4978 @t5833) @t5675)) (=> (not (= @t5040 @t5833)) (= (tptp.hAPP (tptp.hAPP @t1551 @t5835) @t5834) @t53)))))) (tptp.hBOOL (tptp.hAPP @t5226 @t5676))))))) % 6.62/6.88 (assume @p4534 (forall @t5844 (=> @t4237 (=> @t5843 @t5841)))) % 6.62/6.88 (assume @p4535 (forall @t5845 (tptp.c_Wellfounded_Owf @t8 @t5842))) % 6.62/6.88 (assume @p4536 (forall @t198 (not (tptp.hBOOL (tptp.hAPP @t3974 (tptp.c_List_Omeasures @t8 (tptp.c_List_Olist_ONil @t5840))))))) % 6.62/6.88 (assume @p4537 (forall @t5845 (= @t5842 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5178 @t8) (tptp.c_List_Olex tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5846 @t5178) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5840 tptp.tc_Nat_Onat) (tptp.tc_fun @t5846 @t5178) @t8) (tptp.c_List_Omap @t5840 tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBC @t5840 @t8 tptp.tc_Nat_Onat) (tptp.c_COMBI @t5840)))) @t5839))))) % 6.62/6.88 (assume @p4538 (forall (@list @t5839 @t2 @t109 @t60 @t8) (= @t5841 (or @t4190 (and @t490 @t5843))))) % 6.62/6.88 (assume @p4539 (forall @t5844 (=> @t4190 @t5841))) % 6.62/6.88 (assume @p4540 (forall (@list @t2757 @t1 @t38 @t2 @t39 @t125 @t4918 @t8) (=> (forall @t7 (=> @t5113 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t125 @t125 @t39 @t5) @t38) (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t125 @t39 @t38) @t4)))) (= (tptp.hAPP (tptp.c_List_Ofoldl @t125 @t8 (tptp.hAPP (tptp.c_COMBC @t8 @t125 @t125) @t2) (tptp.hAPP @t38 @t2757)) @t4918) (tptp.hAPP @t38 (tptp.hAPP (tptp.c_List_Ofoldl @t39 @t8 (tptp.hAPP @t1383 @t1) @t2757) @t4918)))))) % 6.62/6.88 (assume @p4541 (forall @t433 (=> @t5850 (= @t711 (and @t390 (tptp.hBOOL (tptp.hAPP @t5848 (tptp.hAPP @t3311 (tptp.hAPP (tptp.hAPP @t5847 @t337) @t1))))))))) % 6.62/6.88 (assume @p4542 (forall @t4483 (=> @t5851 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t1065) @t180)) (tptp.hBOOL (tptp.hAPP @t5848 (tptp.hAPP (tptp.hAPP @t4479 (tptp.c_Enum_Oenum__class_Oenum__ex @t39)) @t4051))))))) % 6.62/6.88 (assume @p4543 (forall @t3309 (=> @t5849 (= @t5852 @t2805)))) % 6.62/6.88 (assume @p4544 (forall @t3309 (=> @t5849 (= @t2805 @t5852)))) % 6.62/6.88 (assume @p4545 (forall (@list @t180 @t4915 @t39 @t4918 @t8) (=> (=> (= (tptp.hAPP @t4905 @t5854) (tptp.hAPP @t5134 @t5853)) (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP (tptp.hAPP @t5140 @t5854) @t5853)))) (tptp.hBOOL (tptp.hAPP @t180 @t5142))))) % 6.62/6.88 (assume @p4546 (forall (@list @t5855 @t5856 @t5857 @t200) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t200 @t5857 @t5856 @t5855) (tptp.c_New__DSequence_Opos__not__seq @t5858)))) % 6.62/6.88 (assume @p4547 (forall @t5859 (=> @t5114 (= @t5824 (tptp.c_List_OdropWhile @t8 @t180 @t4915))))) % 6.62/6.88 (assume @p4548 (forall (@list @t180 @t57 @t39 @t13 @t8) (=> @t5647 (=> (forall @t2318 (=> (tptp.hBOOL (tptp.hAPP @t5053 @t5646)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 (tptp.hAPP (tptp.hAPP @t5048 @t13) @t2315)) (tptp.hAPP (tptp.hAPP @t5137 @t57) @t2315))))) @t5626)))) % 6.62/6.88 (assume @p4549 (forall @t118 (=> @t665 (=> @t50 (exists @t7 (and (= (tptp.hAPP @t5077 @t3) @t45) (tptp.c_List_Olinorder__class_Osorted @t8 @t3) (tptp.hBOOL (tptp.hAPP @t5226 @t3)) (forall @t641 (=> (and (= (tptp.hAPP @t5077 @t206) @t45) (tptp.c_List_Olinorder__class_Osorted @t8 @t206) (tptp.hBOOL (tptp.hAPP @t5226 @t206))) @t1172)))))))) % 6.62/6.88 (assume @p4550 (forall @t5859 (=> @t5114 (= @t5813 (tptp.hAPP @t5339 (tptp.c_List_OtakeWhile @t8 @t180 @t4915)))))) % 6.62/6.88 (assume @p4551 (forall (@list @t13 @t2 @t4918 @t8 @t39) (=> @t5486 (=> (forall @t7 (=> @t5113 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t161) @t5)))) (= @t5499 (tptp.hAPP @t4966 @t4918)))))) % 6.62/6.88 (assume @p4552 (forall @t5814 (= (= @t4974 @t5713) @t5860))) % 6.62/6.88 (assume @p4553 (forall (@list @t4918 @t60 @t4915 @t180 @t8) (= (= @t5713 @t4974) @t5860))) % 6.62/6.88 (assume @p4554 (forall @t433 (=> @t5850 (= @t390 (tptp.hBOOL (tptp.hAPP @t5861 (tptp.hAPP (tptp.hAPP @t5847 (tptp.hAPP (tptp.hAPP @t336 @t387) @t2)) @t1))))))) % 6.62/6.88 (assume @p4555 (forall @t3309 (=> @t5849 (= @t2804 @t5862)))) % 6.62/6.88 (assume @p4556 (forall @t3309 (=> @t5849 (= @t5862 @t2804)))) % 6.62/6.88 (assume @p4557 (forall @t4483 (=> @t5851 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t1065) @t180)) (tptp.hBOOL (tptp.hAPP @t5861 (tptp.hAPP (tptp.hAPP @t4479 (tptp.c_Enum_Oenum__class_Oenum__all @t39)) @t4051))))))) % 6.62/6.88 (assume @p4558 (forall @t5826 (=> @t5122 (=> @t5114 @t5825)))) % 6.62/6.88 (assume @p4559 (forall @t5083 (=> @t665 (=> @t5785 (=> @t5774 @t5786))))) % 6.62/6.88 (assume @p4560 (forall @t5702 (= @t5864 (exists @t2318 (and @t5054 @t5863))))) % 6.62/6.88 (assume @p4561 (forall @t4993 (= @t5096 (exists @t5866 @t5865)))) % 6.62/6.88 (assume @p4562 (forall @t3309 (not (tptp.c_List_Olist__ex @t8 @t180 @t5253)))) % 6.62/6.88 (assume @p4563 (forall @t5714 (= (tptp.c_List_Olist__ex @t8 @t180 @t5349) (or @t5864 (tptp.c_List_Olist__ex @t8 @t180 @t4915))))) % 6.62/6.88 (assume @p4564 (forall @t5702 (= @t5864 @t5867))) % 6.62/6.88 (assume @p4565 (forall @t5702 (= (tptp.c_List_Olist__ex @t8 @t180 @t5798) @t5864))) % 6.62/6.88 (assume @p4566 (forall @t5619 (= (tptp.c_List_Olist__ex @t8 @t180 @t4974) (or @t422 @t5864)))) % 6.62/6.88 (assume @p4567 (forall @t4993 (= @t5096 (exists @t5838 (and (exists @t5836 @t5865) (not (tptp.hBOOL (tptp.hAPP @t87 @t5835)))))))) % 6.62/6.88 (assume @p4568 (forall @t4993 (= @t5096 (exists @t5866 (and @t5865 (not (tptp.hBOOL (tptp.hAPP @t87 @t5834)))))))) % 6.62/6.88 (assume @p4569 (forall @t5702 (= @t5868 (forall @t2318 (=> @t5054 @t5863))))) % 6.62/6.88 (assume @p4570 (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) @t3194))) % 6.62/6.88 (assume @p4571 (forall @t3309 (tptp.c_List_Olist__all @t8 @t180 @t5253))) % 6.62/6.88 (assume @p4572 (forall @t5714 (= (tptp.c_List_Olist__all @t8 @t180 @t5349) (and @t5868 (tptp.c_List_Olist__all @t8 @t180 @t4915))))) % 6.62/6.88 (assume @p4573 (forall @t54 (=> (tptp.class_Nat_Osize @t8) (tptp.c_FunDef_Ois__measure @t8 (tptp.c_Nat_Osize__class_Osize @t8))))) % 6.62/6.88 (assume @p4574 (forall @t14 (tptp.c_FunDef_Ois__measure @t8 @t13))) % 6.62/6.88 (assume @p4575 (forall @t1177 @t5869)) % 6.62/6.88 (assume @p4576 (forall @t5702 (= @t5868 @t5114))) % 6.62/6.88 (assume @p4577 (forall @t5870 (=> @t5869 (tptp.c_FunDef_Ois__measure @t1065 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 tptp.tc_Nat_Onat @t1065) @t2) @t4200))))) % 6.62/6.88 (assume @p4578 (forall @t5870 (=> @t5869 (tptp.c_FunDef_Ois__measure @t3428 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 tptp.tc_Nat_Onat @t3428) @t2) @t4157))))) % 6.62/6.88 (assume @p4579 (forall @t5702 (= (tptp.c_List_Olist__all @t8 @t180 @t5798) @t5868))) % 6.62/6.88 (assume @p4580 (forall @t5619 (= (tptp.c_List_Olist__all @t8 @t180 @t4974) (and @t422 @t5868)))) % 6.62/6.88 (assume @p4581 (forall @t5115 (= @t5114 @t5868))) % 6.62/6.88 (assume @p4582 (forall @t5619 (= (tptp.c_List_Olist__ex1 @t8 @t180 @t4974) (and (=> @t422 (tptp.c_List_Olist__all @t8 (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t3302 @t3314)) @t296) @t4918)) (=> @t5706 @t5871))))) % 6.62/6.88 (assume @p4583 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2264 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 6.62/6.88 (assume @p4584 (forall @t3309 (not (tptp.c_List_Olist__ex1 @t8 @t180 @t5253)))) % 6.62/6.88 (assume @p4585 (= (tptp.hAPP @t5872 tptp.c_fFalse) @t1975)) % 6.62/6.88 (assume @p4586 (= (tptp.hAPP @t5872 tptp.c_fTrue) @t1975)) % 6.62/6.88 (assume @p4587 (forall @t5702 (= @t5871 (exists @t7 (and @t5113 @t1080 (forall @t641 (=> (and (tptp.hBOOL (tptp.hAPP @t817 @t5079)) @t3385) @t1172))))))) % 6.62/6.88 (assume @p4588 (forall @t5879 (and (=> @t5877 (= @t5876 (tptp.c_Lazy__Sequence_Ohit__bound @t8))) (=> @t5878 (= @t5876 (tptp.c_Lazy__Sequence_Ohb__bind @t39 @t8 @t5875 @t5874)))))) % 6.62/6.88 (assume @p4589 (forall @t5879 (and (=> @t5877 (= @t5882 (tptp.c_Lazy__Sequence_Oempty @t8))) (=> @t5878 (= @t5882 (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t39 @t8 @t5875) @t5881)))))) % 6.62/6.88 (assume @p4590 (forall @t5887 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t39 @t8 @t200 @t2 @t5857 @t5856 @t5855) (tptp.c_New__DSequence_Oneg__decr__bind @t39 @t8 @t5858 @t5886)))) % 6.62/6.88 (assume @p4591 (forall @t5887 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t39 @t8 @t200 @t2 @t5857 @t5856 @t5855) (tptp.c_New__DSequence_Opos__decr__bind @t39 @t8 @t5858 @t5891)))) % 6.62/6.88 (assume @p4592 (forall @t5893 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t39 @t8 @t60 @t2) @t1229) (tptp.c_Lazy__Sequence_Ohb__bind @t39 @t8 @t5892 @t5874)))) % 6.62/6.88 (assume @p4593 (forall (@list @t5894 @t372) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__empty @t372) @t5894) (tptp.c_Lazy__Sequence_Oempty @t372)))) % 6.62/6.88 (assume @p4594 (forall (@list @t5855 @t5856 @t5857 @t8) (= (tptp.c_New__Random__Sequence_Opos__empty @t8 @t5857 @t5856 @t5855) (tptp.c_New__DSequence_Opos__empty @t8)))) % 6.62/6.88 (assume @p4595 (forall @t5887 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t39 @t8 @t200 @t2) @t5857) @t5856) @t5855) (tptp.c_New__DSequence_Oneg__bind @t39 @t8 @t5858 @t5886)))) % 6.62/6.88 (assume @p4596 (forall @t5893 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t39 @t8 @t60 @t2) @t1229) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t39 @t8 @t5892) @t5881)))) % 6.62/6.88 (assume @p4597 (forall @t5896 (= (tptp.c_New__Random__Sequence_Oneg__map @t39 @t8 @t2 @t180) (tptp.c_New__Random__Sequence_Oneg__bind @t39 @t8 @t180 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5885) @t39 @t5895) @t2))))) % 6.62/6.88 (assume @p4598 (forall @t5897 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5895 @t60) @t5857) @t5856) @t5855) (tptp.c_New__DSequence_Oneg__single @t8 @t60)))) % 6.62/6.88 (assume @p4599 (forall @t5887 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t39 @t8 @t200 @t2) @t5857) @t5856) @t5855) (tptp.c_New__DSequence_Opos__bind @t39 @t8 @t5858 @t5891)))) % 6.62/6.88 (assume @p4600 (forall @t5898 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t372 @t371) @t5894) (tptp.c_Lazy__Sequence_Ohb__single @t372 @t371)))) % 6.62/6.88 (assume @p4601 (forall @t5896 (= (tptp.c_New__Random__Sequence_Opos__map @t39 @t8 @t2 @t180) (tptp.c_New__Random__Sequence_Opos__bind @t39 @t8 @t180 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5890) @t39 @t5899) @t2))))) % 6.62/6.88 (assume @p4602 (forall @t5897 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5899 @t60) @t5857) @t5856) @t5855) (tptp.c_New__DSequence_Opos__single @t8 @t60)))) % 6.62/6.88 (assume @p4603 (forall @t4914 (= (tptp.hAPP @t4911 @t5900) @t5357))) % 6.62/6.88 (assume @p4604 (forall (@list @t4907 @t381 @t4908 @t371 @t372) (= (tptp.c_List_Osplice @t372 @t4961 @t5379) (tptp.hAPP @t4958 (tptp.hAPP @t5214 @t5900))))) % 6.62/6.88 (assume @p4605 (forall @t5367 (= (tptp.c_List_Osplice @t372 @t5252 @t4907) @t4907))) % 6.62/6.88 (assume @p4606 (forall @t5225 (= (tptp.c_List_Osplice @t372 @t4908 @t5252) @t4908))) % 6.62/6.88 (assume @p4607 (forall (@list @t5901 @t2191 @t372) (= (tptp.c_List_Osplice @t372 @t5902 @t5252) @t5902))) % 6.62/6.88 (assume @p4608 (forall @t5898 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t372 @t371) @t5894) (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle @t372) @t371)))) % 6.62/6.88 (assume @p4609 (forall @t3404 (= (tptp.c_Wellfounded_Oacyclic @t8 (tptp.hAPP @t4231 (tptp.hAPP @t4230 (tptp.c_Predicate_Oconversep @t8 @t8 @t725)))) @t4632))) % 6.62/6.88 (assume @p4610 (forall @t198 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t8 @t8 (tptp.hAPP (tptp.hAPP @t3406 @t3311) tptp.c_fequal)) @t60) @t109)) @t493))) % 6.62/6.88 (assume @p4611 (forall @t5906 (=> @t5905 @t5903))) % 6.62/6.88 (assume @p4612 (forall @t4498 (=> @t4182 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5904 @t57) @t13))))) % 6.62/6.88 (assume @p4613 (forall (@list @t193 @t192 @t725 @t39 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5904 @t192) @t193)) @t5037))) % 6.62/6.88 (assume @p4614 (forall @t5906 (= @t5905 @t5903))) % 6.62/6.88 (assume @p4615 (forall @t4491 (= (tptp.c_Predicate_Oconversep @t39 @t8 @t5904) @t725))) % 6.62/6.88 (assume @p4616 (forall @t54 (= (tptp.c_Predicate_Oconversep @t8 @t8 tptp.c_fequal) tptp.c_fequal))) % 6.62/6.88 (assume @p4617 (forall @t4819 (= (tptp.c_Predicate_Oconversep @t39 @t8 (tptp.c_Predicate_Opred__comp @t39 @t125 @t8 @t725 @t2757)) (tptp.c_Predicate_Opred__comp @t8 @t125 @t39 (tptp.c_Predicate_Oconversep @t125 @t8 @t2757) (tptp.c_Predicate_Oconversep @t39 @t125 @t725))))) % 6.62/6.88 (assume @p4618 (forall @t4822 (= (tptp.c_Predicate_Oconversep @t39 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1714) @t725) @t2757)) (tptp.hAPP (tptp.hAPP @t3910 @t5908) @t5907)))) % 6.62/6.88 (assume @p4619 (forall @t4822 (= (tptp.c_Predicate_Oconversep @t39 @t8 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1714) @t725) @t2757)) (tptp.hAPP (tptp.hAPP @t3918 @t5908) @t5907)))) % 6.62/6.88 (assume @p4620 (forall (@list @t109 @t60 @t725 @t39 @t8) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t8 @t39 @t4427) @t60) @t109)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3933 @t4217) @t4823))))) % 6.62/6.88 (assume @p4621 (forall (@list @t5911 @t5912 @t39 @t8) (= (tptp.c_Lazy__Sequence_Oproduct @t8 @t39 @t5912 @t5911) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t8 @t1065 @t5912) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5910 @t5909 @t8) (tptp.c_Lazy__Sequence_Obind @t39 @t1065 @t5911)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3906 @t5910 @t8) (tptp.hAPP (tptp.c_COMBB @t1065 @t5909 @t39) (tptp.c_Lazy__Sequence_Osingle @t1065))) @t3899)))))) % 6.62/6.88 (assume @p4622 (forall @t5914 (=> @t1995 (= (tptp.hAPP @t5450 @t5913) (tptp.c_List_Oreplicate @t372 @t2152 @t371))))) % 6.62/6.88 (assume @p4623 (forall @t4993 (= (tptp.c_List_Oreplicate @t8 (tptp.hAPP @t4905 @t5915) @t60) @t5915))) % 6.62/6.88 (assume @p4624 (forall @t5916 (= (tptp.hAPP @t4911 @t5913) @t1211))) % 6.62/6.88 (assume @p4625 (forall (@list @t5917 @t1199 @t8 @t39) (= (tptp.hAPP (tptp.hAPP @t5526 (tptp.hAPP @t1332 @t1199)) @t5917) (tptp.c_List_Oreplicate @t8 (tptp.hAPP @t5134 @t5917) @t1199)))) % 6.62/6.88 (assume @p4626 (forall @t5102 (= (tptp.hAPP @t5918 @t4961) (tptp.hAPP @t4958 (tptp.hAPP @t5918 @t4908))))) % 6.62/6.88 (assume @p4627 (forall @t5916 (= (tptp.c_List_Oreplicate @t372 @t1853 @t371) (tptp.hAPP @t4958 @t5913)))) % 6.62/6.88 (assume @p4628 (forall @t5916 (= (tptp.hAPP @t5799 @t5913) @t5913))) % 6.62/6.88 (assume @p4629 (forall @t5920 (= (tptp.hAPP @t5411 @t5919) (tptp.c_List_Oreplicate @t372 (tptp.hAPP (tptp.hAPP @t467 @t1216) @t1261) @t371)))) % 6.62/6.88 (assume @p4630 (forall @t5914 (=> @t1995 (= (tptp.hAPP @t5439 @t5913) @t371)))) % 6.62/6.88 (assume @p4631 (forall @t5920 (= (tptp.hAPP @t5230 @t5919) (tptp.c_List_Oreplicate @t372 (tptp.hAPP @t5921 @t1216) @t371)))) % 6.62/6.88 (assume @p4632 (forall @t5914 (=> @t1995 (= (tptp.c_List_Olast @t372 @t5913) @t371)))) % 6.62/6.88 (assume @p4633 (forall (@list @t381 @t1217 @t371 @t1261 @t3489 @t372) (= (tptp.hAPP (tptp.hAPP @t5147 @t5922) (tptp.c_List_Oreplicate @t3489 @t1217 @t381)) (tptp.c_List_Oreplicate @t5150 (tptp.hAPP @t5921 @t1217) @t4206)))) % 6.62/6.88 (assume @p4634 (forall @t5924 (= (exists @t7 (and @t5923 @t1080)) (and @t3293 @t1988)))) % 6.62/6.88 (assume @p4635 (forall @t5924 (= (forall @t7 (=> @t5923 @t1080)) (or @t3293 @t1987)))) % 6.62/6.88 (assume @p4636 (forall (@list @t109 @t1196 @t60 @t307 @t8) (= (= (tptp.c_List_Oreplicate @t8 @t307 @t60) @t5925) (and @t1288 (=> (not @t2019) @t112))))) % 6.62/6.88 (assume @p4637 (forall (@list @t371 @t372 @t1211 @t1261) (=> @t5094 (= (tptp.hAPP (tptp.hAPP @t5060 @t5913) @t1261) @t371)))) % 6.62/6.88 (assume @p4638 (forall (@list @t1216 @t371 @t1211 @t372) (= (tptp.hAPP @t5918 @t5919) (tptp.hAPP (tptp.hAPP @t5341 @t5919) @t5913)))) % 6.62/6.88 (assume @p4639 (forall (@list @t371 @t793 @t1211 @t372) (= (tptp.c_List_Oreplicate @t372 @t1241 @t371) (tptp.hAPP @t5918 (tptp.c_List_Oreplicate @t372 @t793 @t371))))) % 6.62/6.88 (assume @p4640 (forall (@list @t1196 @t8 @t60 @t180) (and (=> @t422 (= @t5927 @t5926)) (=> @t5706 (= @t5927 @t5253))))) % 6.62/6.88 (assume @p4641 (forall (@list @t1261 @t372) (= (tptp.c_List_Oconcat @t372 (tptp.c_List_Oreplicate @t4910 @t1261 @t5252)) @t5252))) % 6.62/6.88 (assume @p4642 (forall @t376 (= (tptp.c_List_Oreplicate @t372 @t1975 @t371) @t5252))) % 6.62/6.88 (assume @p4643 (forall @t5928 (= (= @t5253 @t5926) @t1987))) % 6.62/6.88 (assume @p4644 (forall @t5928 (= (= @t5926 @t5253) @t1987))) % 6.62/6.88 (assume @p4645 (forall (@list @t60 @t1196 @t2 @t8 @t39) (= (tptp.hAPP @t5527 (tptp.c_List_Oreplicate @t39 @t1196 @t60)) (tptp.c_List_Oreplicate @t8 @t1196 @t64)))) % 6.62/6.88 (assume @p4646 (forall (@list @t109 @t1196 @t60 @t8) (= (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t5077 @t5925))) (and @t112 @t1988)))) % 6.62/6.88 (assume @p4647 (forall (@list @t371 @t1261 @t372) (= (tptp.hAPP (tptp.hAPP @t5341 @t5922) @t5279) (tptp.hAPP @t4958 @t5922)))) % 6.62/6.88 (assume @p4648 (forall (@list @t1229 @t60 @t8) (= (tptp.hAPP (tptp.hAPP @t5766 (tptp.hAPP (tptp.c_COMBK @t8 tptp.tc_Nat_Onat) @t60)) (tptp.c_List_Oupt @t1975 @t1229)) (tptp.c_List_Oreplicate @t8 @t1229 @t60)))) % 6.62/6.88 (assume @p4649 (forall @t5931 @t5930)) % 6.62/6.88 (assume @p4650 (forall @t5931 (and (=> @t1987 (= @t5929 @t53)) @t5930))) % 6.62/6.88 (assume @p4651 (forall @t5928 (= (tptp.hAPP @t5077 (tptp.c_List_Oreplicate @t8 @t1879 @t60)) @t164))) % 6.62/6.88 (assume @p4652 (forall (@list @t149 @t8) (=> (tptp.class_Lazy__Sequence_Osmall__lazy @t8) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4461 @t149) (tptp.c_Lazy__Sequence_Oappend @t4461 (tptp.hAPP @t5932 @t5253) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t5933) @t3008) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t4956 @t4461 (tptp.c_Lazy__Sequence_Oproduct @t8 @t4461 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t8 @t5934) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4461 @t5934))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t8 @t4461 @t5933) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4980 (tptp.tc_fun @t4461 @t5933) @t8) (tptp.hAPP (tptp.c_COMBB @t4461 @t5933 @t4461) @t5932)) @t4954)))) (tptp.c_Lazy__Sequence_Oempty @t4461))))))) % 6.62/6.88 (assume @p4653 (forall @t4288 (= (tptp.c_Predicate_Opred__comp @t8 @t8 @t8 tptp.c_fequal (tptp.c_Predicate_Opred__comp @t8 @t8 @t8 @t200 tptp.c_fequal)) @t200))) % 6.62/6.88 (assume @p4654 (forall (@list @t608 @t3489 @t372) (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t372) (tptp.class_Lazy__Sequence_Osmall__lazy @t3489)) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t5150 @t608) (tptp.c_Lazy__Sequence_Oproduct @t372 @t3489 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t372 @t608) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t3489 @t608)))))) % 6.62/6.88 (assume @p4655 (forall (@list @t1229 @t5935 @t5602 @t8) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__union @t8 @t5602 @t5935) @t1229) (tptp.c_Lazy__Sequence_Oappend @t8 @t5936 (tptp.hAPP @t5935 @t1229))))) % 6.62/6.88 (assume @p4656 (forall @t386 (=> @t2867 (=> (forall (@list @t5937) (=> (tptp.hBOOL (tptp.hAPP @t2089 @t5937)) (tptp.hBOOL (tptp.hAPP @t374 (tptp.hAPP @t754 @t5937))))) @t384)))) % 6.62/6.88 (assume @p4657 (forall (@list @t5855 @t5856 @t5857 @t4174 @t4173 @t8) (= (tptp.c_New__Random__Sequence_Opos__union @t8 @t4173 @t4174 @t5857 @t5856 @t5855) (tptp.c_New__DSequence_Opos__union @t8 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4173 @t5857) @t5856) @t5855) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4174 @t5857) @t5856) @t5855))))) % 6.62/6.88 (assume @p4658 (forall (@list @t1261 @t608) (and (=> @t5940 (= @t5939 @t5941)) (=> (not @t5940) (= @t5939 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t5938 @t1261) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t608 @t5283))))))) % 6.62/6.88 (assume @p4659 (forall (@list @t608) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy tptp.tc_Int_Oint @t608) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t608 (tptp.hAPP @t2266 @t608))))) % 6.62/6.88 (assume @p4660 (forall (@list @t1229 @t149) (=> (tptp.hBOOL (tptp.hAPP @t5944 (tptp.hAPP (tptp.hAPP @t3892 @t149) @t1229))) (and (=> @t5943 (= @t5942 @t5941)) (=> (not @t5943) (= @t5942 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t5938 @t1229) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t149 @t3023)))))))) % 6.62/6.88 (assume @p4661 (forall (@list @t5945 @t403 @t372) (= (tptp.hAPP @t5947 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t372 @t403 @t5945)) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t5947 @t5945)) @t1976)))) % 6.62/6.88 (assume @p4662 (forall (@list @t5948 @t5949 @t371 @t372) (= (tptp.c_Lazy__Sequence_Oappend @t372 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t372 @t371 @t5949) @t5948) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t372 @t371 (tptp.c_Lazy__Sequence_Oappend @t372 @t5949 @t5948))))) % 6.62/6.88 (assume @p4663 (forall (@list @t5950 @t4034 @t5951 @t13 @t8) (= (= @t5952 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t4034 @t5950)) (and @t4035 (= @t5951 @t5950))))) % 6.62/6.88 (assume @p4664 (forall (@list @t5951 @t13 @t2203 @t8) (= (tptp.hAPP @t5953 @t5952) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t5007 (tptp.hAPP @t5953 @t5951))) @t1976)))) % 6.62/6.88 (assume @p4665 (forall @t4171 (=> (tptp.hBOOL (tptp.hAPP @t5944 @t4170)) (=> (forall (@list @t2172 @t1029) (=> (tptp.hBOOL (tptp.hAPP @t5944 (tptp.hAPP (tptp.hAPP @t3892 @t2172) @t1029))) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2268 @t2172) @t1029))) (tptp.hBOOL (tptp.hAPP @t2173 @t5319))) (tptp.hBOOL (tptp.hAPP @t2173 @t1029))))) @t4164)))) % 6.62/6.88 (assume @p4666 (forall (@list @t5602 @t8) (= (tptp.hAPP @t5956 @t5602) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t5961 @t1975 (tptp.hAPP @t5960 (tptp.hAPP (tptp.c_COMBK @t5959 @t8) (tptp.hAPP (tptp.hAPP @t5958 (tptp.hAPP @t5957 @t5956)) @t1193))) @t5955)))) % 6.62/6.88 (assume @p4667 (forall (@list @t5602 @t2757 @t8) (= (tptp.hAPP @t5962 @t5602) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t5961 @t1975 (tptp.hAPP @t5960 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 tptp.tc_Nat_Onat @t5959) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5963 (tptp.tc_fun tptp.tc_Nat_Onat @t5959) @t8) @t5958) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5959 @t5963 @t8) @t5957) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t8 @t5959 @t5959) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2962 (tptp.tc_fun @t5959 @t5959) @t8) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5880)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2962 @t8) @t1223) @t2757))) @t5962)))) @t1193)) @t5955)))) % 6.62/6.88 (assume @p4668 (forall (@list @t5602 @t1 @t2 @t39 @t8) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t8 @t39 @t2 @t1 @t5602) (tptp.c_Option_Ooption_Ooption__case @t8 (tptp.tc_prod @t39 @t5964) @t2 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t39 @t5964 @t8) @t1) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield @t39) @t5602))))) % 6.62/6.88 (assume @p4669 (forall @t54 (= (tptp.c_Lazy__Sequence_Oyieldn @t8) (tptp.c_Lazy__Sequence_Oanamorph @t5880 @t8 @t5954)))) % 6.62/6.88 (assume @p4670 (forall @t5967 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t8 @t39 @t169 @t3079 @t5966) @t5965))) % 6.62/6.88 (assume @p4671 (forall @t5969 (=> @t5968 (tptp.c_Relation_Orefl__on @t39 (tptp.hAPP (tptp.hAPP @t1835 @t199) @t45) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t8 @t4227) @t199) @t725))))) % 6.62/6.88 (assume @p4672 (forall @t4993 (= @t5096 @t5972))) % 6.62/6.88 (assume @p4673 (forall @t5277 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5970 @t4974) @t109)) (or @t112 (tptp.hBOOL (tptp.hAPP @t5971 @t109)))))) % 6.62/6.88 (assume @p4674 (forall @t54 (= @t5970 @t5077))) % 6.62/6.88 (assume @p4675 (forall (@list @t381 @t372) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember @t372) @t5252) @t381))))) % 6.62/6.88 (assume @p4676 (forall @t5083 (= @t5972 @t5096))) % 6.62/6.88 (assume @p4677 (forall (@list @t57 @t13 @t5973 @t2203 @t39 @t8) (= (tptp.c_Nitpick_Opair__box_Opair__box__size @t8 @t39 @t2203 @t5973 @t5974) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t5007 (tptp.hAPP @t5973 @t57))) @t1976)))) % 6.62/6.88 (assume @p4678 (forall @t4205 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Nitpick_Opair__box @t372 @t3489)) (tptp.c_Nitpick_Opair__box_OPairBox @t372 @t3489 @t403 @t407)) @t1975))) % 6.62/6.88 (assume @p4679 (forall @t4038 (= (= @t5974 (tptp.c_Nitpick_Opair__box_OPairBox @t8 @t39 @t4034 @t4033)) @t4036))) % 6.62/6.88 (assume @p4680 (forall @t4047 (= (tptp.c_Nitpick_Opair__box_Opair__box__case @t39 @t125 @t8 @t169 @t5975) @t4025))) % 6.62/6.88 (assume @p4681 (forall @t4047 (= (tptp.c_Nitpick_Opair__box_Opair__box__rec @t39 @t125 @t8 @t169 @t5975) @t4025))) % 6.62/6.88 (assume @p4682 (forall (@list @t149 @t8 @t180) (and (=> @t5977 (= @t5976 @t5643)) (=> (not @t5977) (= @t5976 @t149))))) % 6.62/6.88 (assume @p4683 (forall @t3445 (=> @t575 (=> (tptp.hBOOL (tptp.hAPP @t3076 @t199)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1833 @t199)) @t1832)) (=> (forall (@list @t5979) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t5979) @t199)) (forall (@list @t5978) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t5978) @t199)) (=> (not (= @t5979 @t5978)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t129 @t5979)) (=> (tptp.hBOOL (tptp.hAPP @t129 @t5978)) @t2126)))))))) (= (tptp.hAPP @t358 @t3266) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t52 @t39) @t358) @t199)))))))) % 6.62/6.88 (assume @p4684 (forall (@list @t125 @t39 @t82 @t57 @t74 @t45 @t8) (=> @t1984 @t1848))) % 6.62/6.88 (assume @p4685 (forall @t1731 (=> @t1566 (not (forall @t7 (=> @t130 (not @t1730))))))) % 6.62/6.88 (assume @p4686 (forall @t1834 (=> (tptp.hBOOL (tptp.hAPP @t5056 @t662)) (exists @t2318 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5670 @t662)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1016 (tptp.hAPP @t4905 @t3)) @t2315)))))))) % 6.62/6.88 (assume @p4687 (forall @t1171 (= (tptp.hAPP @t5947 @t5980) @t1975))) % 6.62/6.88 (assume @p4688 (forall @t5983 (not (= @t5980 @t5982)))) % 6.62/6.88 (assume @p4689 (forall @t5983 (not (= @t5982 @t5980)))) % 6.62/6.88 (assume @p4690 (forall (@list @t5948 @t372) (= (tptp.c_Lazy__Sequence_Oappend @t372 @t5980 @t5948) @t5948))) % 6.62/6.88 (assume @p4691 (forall @t5313 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t8 @t39 @t169 @t3079 @t5984) @t169))) % 6.62/6.88 (assume @p4692 (forall @t5275 (= (tptp.hAPP @t5953 @t5985) @t1975))) % 6.62/6.88 (assume @p4693 (forall @t5987 (= (tptp.c_List_Olist__all tptp.tc_Int_Oint @t180 @t5167) @t5986))) % 6.62/6.88 (assume @p4694 (forall @t5987 (= (tptp.c_List_Olist__ex tptp.tc_Int_Oint @t180 @t5167) (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) @t180) @t1229 @t1228))))) % 6.62/6.88 (assume @p4695 (forall @t5987 (= @t5986 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2923 @t3024)) @t1080))))) % 6.62/6.88 (assume @p4696 (forall @t4374 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t8 @t169 @t3079 @t4244) (tptp.hAPP @t4373 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t8 @t169 @t3079 @t4243))))) % 6.62/6.88 (assume @p4697 (forall (@list @t5856 @t1 @t8 @t5857) (and (=> @t5998 (= @t5997 @t5999)) (=> (not @t5998) (= @t5997 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t4810 @t5990 @t4810 @t5994) (tptp.hAPP @t1 @t5856)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5996 @t5995 @t5990) (tptp.hAPP (tptp.c_Product__Type_Oscomp @t4810 @t5991 @t4810 @t5994) (tptp.c_Random__Sequence_ORandom @t8 @t1 (tptp.hAPP (tptp.hAPP @t3858 @t5857) @t3857) @t5856))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5992 @t5996 @t5990) (tptp.hAPP (tptp.c_COMBB @t5991 @t5995 @t5991) @t5993)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5991 @t5992 @t5990) (tptp.c_DSequence_Ounion @t8)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 @t5991 @t5990) @t5989) (tptp.c_Product__Type_Ofst @t8 @t5988))))))))))) % 6.62/6.88 (assume @p4698 (forall @t3080 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t8 @t169 @t3079 @t3843) @t169))) % 6.62/6.88 (assume @p4699 (forall (@list @t5856 @t5857 @t8) (= (tptp.c_Random__Sequence_Oempty @t8 @t5857 @t5856) @t5999))) % 6.62/6.88 (assume @p4700 (forall (@list @t5856 @t5857 @t60 @t8) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6000 @t60) @t5857) @t5856) (tptp.hAPP @t5993 (tptp.hAPP @t5989 @t60))))) % 6.62/6.88 (assume @p4701 (forall @t5896 (= (tptp.c_Random__Sequence_Omap @t39 @t8 @t2 @t180) (tptp.c_Random__Sequence_Obind @t39 @t8 @t180 (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 @t5995)) @t39 @t6000) @t2))))) % 6.62/6.88 (assume @p4702 (forall (@list @t125 @t2 @t179 @t2488 @t8 @t39 @t180) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 @t4159) (tptp.hAPP @t4218 @t2488))) (=> (forall @t210 (=> (tptp.hBOOL (tptp.hAPP @t3384 @t3)) (tptp.hBOOL (tptp.hAPP @t179 @t209)))) (tptp.hBOOL (tptp.hAPP @t179 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t39 @t8 @t125) @t2) @t2488))))))) % 6.62/6.88 (assume @p4703 (forall (@list @t45 @t180 @t8 @t39) (= (tptp.hAPP (tptp.c_Relation_OImage @t39 @t8 @t4481) @t45) (tptp.hAPP @t3290 (tptp.hAPP @t4480 (tptp.hAPP (tptp.hAPP @t1650 @t6001) @t4477)))))) % 6.62/6.88 (assume @p4704 (forall @t4791 (=> @t4997 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t5025 @t142)) @t4994)) (=> @t6002 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4922 (tptp.hAPP @t4995 @t142)) @t4994))))))) % 6.62/6.88 (assume @p4705 (tptp.c_Relation_Otrans tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 6.62/6.88 (assume @p4706 (forall (@list @t4174 @t39 @t4173 @t8) (=> (tptp.c_Relation_Otrans @t8 @t4173) (=> (tptp.c_Relation_Otrans @t39 @t4174) (tptp.c_Relation_Otrans @t1065 (tptp.c_Wellfounded_Olex__prod @t8 @t39 @t4173 @t4174)))))) % 6.62/6.88 (assume @p4707 (forall (@list @t82 @t57 @t13 @t725 @t8) (=> @t6002 (=> @t3971 (=> @t4760 (tptp.hBOOL (tptp.hAPP @t4754 @t725))))))) % 6.62/6.88 (assume @p4708 (forall @t3404 (= @t6002 (forall @t210 (=> @t4127 (forall @t3089 (=> @t6003 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP @t4084 @t3088)) @t725))))))))) % 6.62/6.88 (assume @p4709 (forall @t118 (= @t3240 (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t4659 @t3377) (tptp.hAPP (tptp.hAPP @t4658 (tptp.hAPP @t3373 (tptp.hAPP @t3370 @t4657))) @t58)))))) % 6.62/6.88 (assume @p4710 (forall @t3404 (=> @t6002 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 (tptp.hAPP @t4776 @t725)) @t725))))) % 6.62/6.88 (assume @p4711 (forall @t4343 (=> @t6002 (=> (tptp.c_Relation_Otrans @t8 @t2757) (tptp.c_Relation_Otrans @t8 @t4629))))) % 6.62/6.88 (assume @p4712 (forall @t3404 (tptp.c_Relation_Otrans @t8 @t4768))) % 6.62/6.88 (assume @p4713 (forall @t54 (tptp.c_Relation_Otrans @t8 @t4840))) % 6.62/6.88 (assume @p4714 (forall @t54 (tptp.c_Relation_Otrans @t52 @t4259))) % 6.62/6.88 (assume @p4715 (forall @t3404 (=> @t6002 (= @t4745 @t725)))) % 6.62/6.88 (assume @p4716 (forall @t3404 (tptp.c_Relation_Otrans @t8 @t4745))) % 6.62/6.88 (assume @p4717 (forall @t118 (tptp.c_Relation_Otrans @t8 @t4353))) % 6.62/6.88 (assume @p4718 (forall @t3404 (=> @t6002 (tptp.c_Relation_Otrans @t4461 @t4994)))) % 6.62/6.88 (assume @p4719 (forall @t3309 (not (exists @t7 (and @t4646 @t1080))))) % 6.62/6.88 (assume @p4720 (forall @t3404 (=> @t6002 (tptp.c_Relation_Otrans @t4461 @t5023)))) % 6.62/6.88 (assume @p4721 (forall @t3404 (= (tptp.c_Relation_Otrans @t8 @t4814) @t6002))) % 6.62/6.88 (assume @p4722 (forall (@list @t179 @t39 @t45 @t8) (=> @t50 (= (tptp.hBOOL (tptp.hAPP @t41 (tptp.hAPP @t3317 (tptp.hAPP @t3380 (tptp.hAPP (tptp.hAPP @t1763 @t345) @t179))))) (forall @t7 (=> @t130 (tptp.hBOOL (tptp.hAPP @t41 (tptp.hAPP @t3317 (tptp.hAPP @t3383 @t3)))))))))) % 6.62/6.88 (assume @p4723 (forall @t3309 (= (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t129 @t1021)) @t1080)) @t2805))) % 6.62/6.88 (assume @p4724 (forall @t54 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 tptp.tc_HOL_Obool) (tptp.c_Set_OBex @t8)))) % 6.62/6.88 (assume @p4725 (forall @t3404 (=> @t6002 (tptp.c_Relation_Otrans @t8 @t4841)))) % 6.62/6.88 (assume @p4726 (forall @t4438 (=> @t6002 (tptp.c_Relation_Otrans @t39 @t4436)))) % 6.62/6.88 (assume @p4727 (forall @t5115 (= @t5867 @t5864))) % 6.62/6.88 (assume @p4728 (forall @t1735 (= @t1704 (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t6004)))) % 6.62/6.88 (assume @p4729 (forall @t1735 (= @t1844 (tptp.c_Complete__Lattice_OInf__class_OInf @t52 @t6004)))) % 6.62/6.88 (assume @p4730 (forall @t871 (=> @t1785 (= (tptp.hAPP (tptp.c_Complete__Lattice_OSup__class_OSup @t167 @t45) @t60) (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t6007))))) % 6.62/6.88 (assume @p4731 (forall @t871 (=> @t1785 (= (tptp.hAPP (tptp.c_Complete__Lattice_OInf__class_OInf @t167 @t45) @t60) (tptp.c_Complete__Lattice_OInf__class_OInf @t8 @t6007))))) % 6.62/6.88 (assume @p4732 (forall @t4469 (=> @t4468 (=> @t4467 (=> @t4466 (=> (forall @t7 (=> @t4465 (exists @t458 (and @t4464 @t4429)))) (tptp.c_Wellfounded_Omax__extp @t8 @t200 @t215 @t250))))))) % 6.62/6.88 (assume @p4733 (forall @t3404 (= @t6008 (tptp.c_Relation_Otrans @t8 @t4625)))) % 6.62/6.88 (assume @p4734 (forall @t4846 (=> @t6008 (=> @t5036 (=> (tptp.hBOOL (tptp.hAPP @t6009 @t142)) (tptp.hBOOL (tptp.hAPP @t4635 @t142))))))) % 6.62/6.88 (assume @p4735 (forall @t4288 (=> @t4287 (not (=> @t6013 @t6012))))) % 6.62/6.88 (assume @p4736 (forall @t4288 (=> @t6013 (=> @t6011 (=> @t6010 @t4287))))) % 6.62/6.88 (assume @p4737 (forall @t4842 (=> @t6014 (=> @t5036 (tptp.hBOOL (tptp.hAPP @t6009 @t60)))))) % 6.62/6.88 (assume @p4738 (forall @t4288 (= @t4287 (and @t6013 @t6011 @t6010)))) % 6.62/6.88 (assume @p4739 (forall @t3404 (=> @t6002 (=> @t6015 (tptp.c_Relation_Otrans @t8 @t4844))))) % 6.62/6.88 (assume @p4740 (forall @t3404 (= (tptp.c_Relation_Oantisym @t8 @t4814) @t6015))) % 6.62/6.88 (assume @p4741 (forall @t54 (tptp.c_Relation_Oantisym @t8 @t3440))) % 6.62/6.88 (assume @p4742 (forall @t54 (tptp.c_Relation_Oantisym @t8 @t4840))) % 6.62/6.88 (assume @p4743 (forall @t118 (tptp.c_Relation_Oantisym @t8 @t4353))) % 6.62/6.88 (assume @p4744 (forall @t4343 (=> @t4342 (=> (tptp.c_Relation_Oantisym @t8 @t2757) @t6015)))) % 6.62/6.88 (assume @p4745 (forall @t3404 (= @t6015 (forall @t210 (=> @t4127 (=> @t4883 @t4732)))))) % 6.62/6.88 (assume @p4746 (forall @t6017 (=> @t6015 (=> @t3971 (=> @t6016 @t68))))) % 6.62/6.88 (assume @p4747 (forall @t3404 (= (tptp.c_Relation_Oantisym @t8 @t4841) @t6015))) % 6.62/6.88 (assume @p4748 (forall @t3404 (=> @t4633 (tptp.c_Relation_Oantisym @t8 @t4768)))) % 6.62/6.88 (assume @p4749 (forall (@list @t60 @t45 @t6020 @t125 @t8 @t39) (= (tptp.c_Partial__Function_Ofun__lub @t39 @t8 @t125 @t6020 @t45 @t60) (tptp.hAPP @t6020 (tptp.hAPP @t3317 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6018 tptp.tc_HOL_Obool @t39) (tptp.c_HOL_OEx @t1141)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6018 @t6018 @t39) (tptp.hAPP (tptp.c_COMBS @t1141 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t218 @t1141) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1141 @t6018 tptp.tc_HOL_Obool) (tptp.c_member @t1141)) @t45)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t6019 @t6018) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 (tptp.tc_fun @t6019 @t6018) @t39) (tptp.c_COMBB @t39 tptp.tc_HOL_Obool @t1141)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1141 @t125 @t39) (tptp.c_COMBI @t1141)) @t60))))))))) % 6.62/6.88 (assume @p4750 (forall @t3404 (=> @t6021 (=> @t6002 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3439 @t4831) @t725)))))) % 6.62/6.88 (assume @p4751 (forall @t6017 (=> @t6021 (=> @t3971 @t6016)))) % 6.62/6.88 (assume @p4752 (forall @t3404 (= @t6021 (forall @t210 (=> @t4127 @t4883))))) % 6.62/6.88 (assume @p4753 (forall @t4343 (=> @t6021 (=> @t6022 (tptp.c_Relation_Osym @t8 @t4629))))) % 6.62/6.88 (assume @p4754 (forall @t3404 (=> @t6021 (tptp.c_Relation_Osym @t8 @t4768)))) % 6.62/6.88 (assume @p4755 (forall @t54 (tptp.c_Relation_Osym @t8 @t4840))) % 6.62/6.88 (assume @p4756 (forall @t4343 (=> @t6021 (=> @t6022 (tptp.c_Relation_Osym @t8 @t4346))))) % 6.62/6.88 (assume @p4757 (forall @t3404 (=> @t6021 (tptp.c_Relation_Osym @t8 @t4745)))) % 6.62/6.88 (assume @p4758 (forall @t118 (tptp.c_Relation_Osym @t8 @t4353))) % 6.62/6.88 (assume @p4759 (forall @t3404 (=> @t6021 (tptp.c_Relation_Osym @t4461 @t5023)))) % 6.62/6.88 (assume @p4760 (forall @t3404 (= @t6021 (= @t4814 @t725)))) % 6.62/6.88 (assume @p4761 (forall @t3404 (= (tptp.c_Relation_Osym @t8 @t4814) @t6021))) % 6.62/6.88 (assume @p4762 (forall @t3404 (tptp.c_Relation_Osym @t8 (tptp.hAPP @t4345 @t4814)))) % 6.62/6.88 (assume @p4763 (forall @t4438 (=> @t6021 (tptp.c_Relation_Osym @t39 @t4436)))) % 6.62/6.88 (assume @p4764 (forall @t3404 (tptp.c_Relation_Osym @t8 (tptp.hAPP @t4448 @t4814)))) % 6.62/6.88 (assume @p4765 (forall @t3403 (= @t3458 (and @t4624 @t6021 @t6002)))) % 6.62/6.88 (assume @p4766 (forall @t3403 (=> @t4624 (=> @t6021 (=> @t6002 @t3458))))) % 6.62/6.88 (assume @p4767 (forall @t3403 (=> @t3458 (not (=> @t4624 (=> @t6021 (not @t6002))))))) % 6.62/6.88 (assume @p4768 (forall @t3404 (= @t6014 (tptp.c_Relation_Osym @t8 @t4625)))) % 6.62/6.88 (assume @p4769 (forall (@list @t8 @t200) (=> @t6025 (=> @t6011 (=> @t6010 @t6023))))) % 6.62/6.88 (assume @p4770 (forall @t4288 (= @t6023 (and @t6025 @t6011 @t6010)))) % 6.62/6.88 (assume @p4771 (forall @t4288 (=> @t4287 @t6023))) % 6.62/6.88 (assume @p4772 (forall @t4296 (=> @t6023 @t4295))) % 6.62/6.88 (assume @p4773 (forall @t4294 (=> @t6023 @t4293))) % 6.62/6.88 (assume @p4774 (forall @t4288 (= @t6023 (and @t6025 (forall @t210 (= @t4286 (and @t6024 (tptp.hBOOL (tptp.hAPP @t4283 @t206)) @t4285))))))) % 6.62/6.88 (assume @p4775 (forall @t4288 (=> @t6023 (not (=> @t6025 @t6012))))) % 6.62/6.88 (assume @p4776 (forall @t4288 (=> @t6023 (exists @t2176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1828 @t2172) (tptp.hAPP (tptp.hAPP @t3368 @t3351) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 @t52 @t52) (tptp.hAPP @t344 (tptp.hAPP @t342 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t8 @t8 tptp.tc_HOL_Obool) @t200) @t251)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t52 @t3356 @t52) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1898 (tptp.tc_fun @t3356 @t52) @t52) @t216) tptp.c_fequal)) @t200))))))))) % 6.62/6.88 (assume @p4777 (forall @t380 (= @t1022 @t6027))) % 6.62/6.88 (assume @p4778 (forall @t380 (=> @t1022 @t6027))) % 6.62/6.88 (assume @p4779 (forall (@list @t109 @t2 @t39 @t8) (= @t6028 (tptp.c_Hilbert__Choice_OEps @t8 (tptp.hAPP @t339 @t109))))) % 6.62/6.88 (assume @p4780 (forall @t54 (= (tptp.c_Hilbert__Choice_Oinv__into @t8 @t8 @t1021 @t4594) @t4594))) % 6.62/6.88 (assume @p4781 (forall @t299 (=> @t1022 (=> @t298 (= @t6028 @t60))))) % 6.62/6.88 (assume @p4782 (forall @t297 (=> @t1022 (= (tptp.hAPP @t6026 @t64) @t60)))) % 6.62/6.88 (assume @p4783 (forall @t460 (=> @t331 (=> @t88 (=> @t298 (= @t6030 @t60)))))) % 6.62/6.88 (assume @p4784 (forall @t461 (=> @t331 (=> @t88 (= (tptp.hAPP @t6029 @t64) @t60))))) % 6.62/6.88 (assume @p4785 (forall (@list @t45 @t2 @t39 @t109 @t8) (=> (tptp.hBOOL (tptp.hAPP @t110 @t56)) (= (tptp.hAPP @t2 (tptp.hAPP @t6031 @t109)) @t109)))) % 6.62/6.88 (assume @p4786 (forall (@list @t45 @t2 @t39 @t60 @t8) (=> (tptp.hBOOL (tptp.hAPP @t87 @t56)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 (tptp.hAPP @t6031 @t60)) @t45))))) % 6.62/6.88 (assume @p4787 (forall (@list @t109 @t60 @t2 @t45 @t39 @t8) (=> (= @t6032 @t6030) (=> @t462 (=> @t499 @t112))))) % 6.62/6.88 (assume @p4788 (forall @t157 (=> @t1179 (= (tptp.hAPP @t55 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t39 @t6033) @t45)) @t45)))) % 6.62/6.88 (assume @p4789 (forall (@list @t109 @t2 @t8 @t39) (=> @t1179 (= (tptp.hAPP @t2 (tptp.hAPP @t6033 @t109)) @t109)))) % 6.62/6.88 (assume @p4790 (forall @t158 (= @t1179 (forall @t7 (= (tptp.hAPP @t2 (tptp.hAPP @t6033 @t3)) @t3))))) % 6.62/6.88 (assume @p4791 (forall (@list @t4621 @t544 @t45 @t2 @t8 @t39) (=> @t4622 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t4621) @t544)) (= (tptp.hAPP @t55 (tptp.hAPP (tptp.c_Set_Oimage @t8 @t39 @t6031) @t4621)) @t4621))))) % 6.62/6.88 (assume @p4792 (forall @t349 (= @t6032 (tptp.c_Hilbert__Choice_OEps @t8 @t346)))) % 6.62/6.88 (assume @p4793 (forall @t314 (=> @t1022 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t125 @t8 (tptp.hAPP @t4686 @t6026)) @t2) @t1)))) % 6.62/6.88 (assume @p4794 (forall @t380 (=> @t1022 (= (tptp.hAPP @t6034 @t1058) @t1021)))) % 6.62/6.88 (assume @p4795 (forall @t159 (=> @t1022 (= (tptp.hAPP @t6034 @t93) @t45)))) % 6.62/6.88 (assume @p4796 (forall (@list @t215 @t2 @t39 @t8) (=> @t1022 (= (tptp.hAPP @t6034 (tptp.hAPP @t92 @t215)) @t215)))) % 6.62/6.88 (assume @p4797 (forall @t158 (=> @t1179 (tptp.c_Fun_Oinj__on @t8 @t39 @t6033 @t1021)))) % 6.62/6.88 (assume @p4798 (forall (@list @t199 @t45 @t2 @t39 @t8) (=> @t331 (=> (tptp.hBOOL (tptp.hAPP @t1545 @t45)) (= (tptp.hAPP (tptp.c_Set_Oimage @t39 @t8 @t6029) @t4731) @t199))))) % 6.62/6.88 (assume @p4799 (forall @t510 (=> @t509 (tptp.c_Fun_Oinj__on @t8 @t39 @t6031 @t74)))) % 6.62/6.88 (assume @p4800 (forall @t4708 (=> @t4707 (=> @t4706 (=> @t4705 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t125 @t39 @t45 @t4685) @t60) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t125 @t39 (tptp.c_Hilbert__Choice_Oinv__into @t125 @t8 @t45 @t1)) (tptp.c_Hilbert__Choice_Oinv__into @t8 @t39 @t4704 @t2)) @t60))))))) % 6.62/6.88 (assume @p4801 (forall @t158 (= @t1179 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t39 @t8 @t8 @t2) @t6033) @t4594)))) % 6.62/6.88 (assume @p4802 (forall (@list @t60 @t180 @t2 @t39 @t8) (=> @t1022 (=> (forall @t641 (=> (tptp.hBOOL (tptp.hAPP @t4606 @t1174)) (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP @t6026 @t206))))) @t422)))) % 6.62/6.88 (assume @p4803 (forall (@list @t1 @t45 @t39 @t1742 @t8 @t125) (=> @t4593 (=> (tptp.hBOOL (tptp.hAPP @t42 @t1742)) (=> (forall @t7 (=> @t1852 @t1851)) (=> (forall @t7 (=> @t1852 (forall @t458 (=> (tptp.hBOOL (tptp.hAPP @t456 @t1742)) (=> @t1622 (= (tptp.hAPP (tptp.hAPP @t1583 @t1741) (tptp.hAPP @t45 @t453)) @t81)))))) (= (tptp.hAPP @t6035 @t1797) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4592 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t80 @t125 @t8) @t6035) @t45)) @t4590) @t1742)))))))) % 6.62/6.88 (assume @p4804 (forall @t4640 (=> @t5575 (not (forall @t7 (not (= @t109 @t6036))))))) % 6.62/6.88 (assume @p4805 (forall @t4639 (=> @t5575 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t180 @t6036))) @t4636)))) % 6.62/6.88 (assume @p4806 (forall @t2952 (not (forall @t641 (=> (= @t60 @t6038) (not @t6037)))))) % 6.62/6.88 (assume @p4807 (forall @t4645 (=> (forall @t641 (=> @t6037 (tptp.hBOOL (tptp.hAPP @t180 @t6038)))) @t422))) % 6.62/6.88 (assume @p4808 (forall @t5313 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t8 @t39 @t169 @t3079 @t5984) @t169))) % 6.62/6.88 (assume @p4809 (forall @t3131 (and (=> @t4806 (= @t6039 @t1208)) (=> @t4807 (= @t6039 @t3843))))) % 6.62/6.88 (assume @p4810 (forall @t2377 (= (tptp.c_Quickcheck_Obeyond @t1216 @t3843) @t3843))) % 6.62/6.88 (assume @p4811 (forall @t5967 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t8 @t39 @t169 @t3079 @t5966) (tptp.hAPP @t5965 (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t8 @t39 @t169 @t3079 @t5951))))) % 6.62/6.88 (assume @p4812 (forall @t3319 (=> @t6040 (= (tptp.hAPP @t92 @t3291) (tptp.hAPP @t3317 (tptp.hAPP (tptp.hAPP @t5816 @t180) @t6026)))))) % 6.62/6.88 (assume @p4813 (forall (@list @t109 @t60 @t82 @t8 @t125 @t39) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t39 @t125 @t8 @t82) @t60) @t109) (tptp.hAPP @t82 @t3951)))) % 6.62/6.88 (assume @p4814 (forall (@list @t57 @t13 @t39 @t8 @t2) (=> @t6042 @t6041))) % 6.62/6.88 (assume @p4815 (forall @t118 (tptp.c_Fun_Obij__betw @t8 @t8 @t4594 @t45 @t45))) % 6.62/6.88 (assume @p4816 (forall @t494 (=> @t6043 (tptp.c_Fun_Obij__betw @t39 @t8 @t6029 @t74 @t45)))) % 6.62/6.88 (assume @p4817 (forall (@list @t13 @t544 @t45 @t2 @t39 @t8) (=> @t6044 (=> @t67 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t39 @t8 @t544 @t6029) @t13) @t161))))) % 6.62/6.88 (assume @p4818 (forall @t380 (=> @t6040 (= (tptp.c_Hilbert__Choice_Oinv__into @t39 @t8 @t1058 @t6026) @t2)))) % 6.62/6.88 (assume @p4819 (forall @t380 (=> @t6040 (tptp.c_Fun_Obij__betw @t39 @t8 @t6026 @t1058 @t1021)))) % 6.62/6.88 (assume @p4820 (forall @t314 (=> @t6040 (=> (tptp.c_Fun_Obij__betw @t125 @t8 @t1 @t4610 @t1021) (= (tptp.c_Hilbert__Choice_Oinv__into @t125 @t39 @t4610 @t4685) (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t125 @t39 (tptp.c_Hilbert__Choice_Oinv__into @t125 @t8 @t4610 @t1)) @t6026)))))) % 6.62/6.88 (assume @p4821 (forall @t1792 (=> @t6040 @t2586))) % 6.62/6.88 (assume @p4822 (forall (@list @t45 @t2 @t125 @t6045 @t544 @t4680 @t39 @t8) (=> (tptp.c_Fun_Obij__betw @t8 @t39 @t4680 @t544 @t6045) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t350 @t4516) @t544)) (= (tptp.c_Fun_Obij__betw @t125 @t8 @t2 @t45 @t544) (tptp.c_Fun_Obij__betw @t125 @t39 (tptp.hAPP (tptp.c_Fun_Ocomp @t8 @t39 @t125 @t4680) @t2) @t45 @t6045)))))) % 6.62/6.88 (assume @p4823 (forall (@list @t447 @t1 @t125 @t74 @t45 @t2 @t39 @t8) (=> @t6043 (=> (tptp.c_Fun_Obij__betw @t39 @t125 @t1 @t74 @t447) (tptp.c_Fun_Obij__betw @t8 @t125 @t4689 @t45 @t447))))) % 6.62/6.88 (assume @p4824 (forall (@list @t6045 @t4680 @t125 @t544 @t45 @t2 @t39 @t8) (=> @t6044 (= (tptp.c_Fun_Obij__betw @t39 @t125 @t4680 @t544 @t6045) (tptp.c_Fun_Obij__betw @t8 @t125 @t4687 @t45 @t6045))))) % 6.62/6.88 (assume @p4825 (forall @t314 (=> @t6040 (=> (tptp.c_Fun_Obij__betw @t39 @t125 @t1 @t1058 @t4610) (tptp.c_Fun_Obij__betw @t8 @t125 @t4689 @t1021 @t4610))))) % 6.62/6.88 (assume @p4826 (forall @t4048 (=> @t6041 @t6042))) % 6.62/6.88 (assume @p4827 (forall @t4046 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t39 @t125 @t8 @t2) @t13) @t57) (tptp.hAPP @t2 @t4020)))) % 6.62/6.88 (assume @p4828 (forall @t4049 (= (tptp.hAPP @t3998 (tptp.c_Product__Type_Ocurry @t8 @t39 @t125 @t2)) @t2))) % 6.62/6.88 (assume @p4829 (forall @t4049 (= (tptp.c_Product__Type_Ocurry @t8 @t39 @t125 @t3999) @t2))) % 6.62/6.88 (assume @p4830 (forall @t1661 (=> (tptp.c_Fun_Obij__betw @t8 @t39 @t38 @t1021 @t1058) (= @t1660 @t1659)))) % 6.62/6.88 (assume @p4831 (forall @t159 (=> @t6040 (= @t1020 @t1019)))) % 6.62/6.88 (assume @p4832 (forall (@list @t4621 @t74 @t544 @t45 @t2 @t39 @t8) (=> @t6044 (=> @t378 (=> (= @t484 @t4621) @t6046))))) % 6.62/6.88 (assume @p4833 (forall @t380 (=> @t6040 @t6047))) % 6.62/6.88 (assume @p4834 (forall @t159 (=> (tptp.c_Fun_Obij__betw @t8 @t39 @t2 @t45 @t1058) @t6047))) % 6.62/6.88 (assume @p4835 (forall @t494 (= @t6043 (and @t331 (= @t93 @t74))))) % 6.62/6.88 (assume @p4836 (forall @t159 (=> @t331 (tptp.c_Fun_Obij__betw @t8 @t39 @t2 @t45 @t93)))) % 6.62/6.88 (assume @p4837 (forall @t494 (=> @t6043 @t331))) % 6.62/6.88 (assume @p4838 (forall @t380 (=> @t6040 @t1022))) % 6.62/6.88 (assume @p4839 (forall @t494 (=> @t6043 (tptp.c_Fun_Obij__betw @t39 @t8 @t347 @t74 @t45)))) % 6.62/6.88 (assume @p4840 (forall @t494 (=> @t6043 @t1187))) % 6.62/6.88 (assume @p4841 (forall @t159 (=> (tptp.c_Fun_Obij__betw @t8 @t39 @t2 @t45 @t81) @t89))) % 6.62/6.88 (assume @p4842 (forall @t159 (=> (tptp.c_Fun_Obij__betw @t8 @t39 @t2 @t53 @t45) @t156))) % 6.62/6.88 (assume @p4843 (forall @t1192 (=> @t50 (=> @t521 (= (exists @t549 (tptp.c_Fun_Obij__betw @t8 @t39 @t546 @t45 @t74)) @t1187))))) % 6.62/6.88 (assume @p4844 (forall @t494 (=> @t6043 (= @t50 @t521)))) % 6.62/6.88 (assume @p4845 (forall @t258 (= (tptp.c_Fun_Obij__betw @t8 @t8 @t4594 @t45 @t74) @t106))) % 6.62/6.88 (assume @p4846 (forall @t54 (tptp.c_Fun_Obij__betw @t8 @t8 @t4594 @t1021 @t1021))) % 6.62/6.88 (assume @p4847 (forall (@list @t502 @t447 @t74 @t45 @t2 @t39 @t8) (=> @t6043 (=> (tptp.c_Fun_Obij__betw @t8 @t39 @t2 @t447 @t502) (=> (= (tptp.hAPP (tptp.hAPP @t1583 @t74) @t502) @t81) (tptp.c_Fun_Obij__betw @t8 @t39 @t2 @t1076 (tptp.hAPP (tptp.hAPP @t1129 @t74) @t502))))))) % 6.62/6.88 (assume @p4848 (forall (@list @t2 @t4621 @t544 @t39 @t74 @t45 @t8) (=> @t1554 (=> (= (tptp.hAPP (tptp.hAPP @t1583 @t544) @t4621) @t81) (=> @t6044 (=> @t6046 (tptp.c_Fun_Obij__betw @t8 @t39 @t2 @t1039 (tptp.hAPP (tptp.hAPP @t1129 @t544) @t4621)))))))) % 6.62/6.88 (assume @p4849 (forall @t380 (= @t6040 (and @t1022 @t6047)))) % 6.62/6.88 (assume @p4850 (forall @t380 (=> @t1022 (=> @t6047 @t6040)))) % 6.62/6.88 (assume @p4851 (forall @t452 (=> @t6040 (= @t1669 @t523)))) % 6.62/6.88 (assume @p4852 (forall @t159 (=> @t6040 (= @t1582 (tptp.hAPP @t6034 @t45))))) % 6.62/6.88 (assume @p4853 (forall @t1834 (=> @t6051 (exists @t6050 (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat @t8 @t6049 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1193 @t6048) @t662))))) % 6.62/6.88 (assume @p4854 (forall @t1190 (=> @t331 (=> @t1186 (=> @t1189 (=> @t1188 (exists @t6050 (tptp.c_Fun_Obij__betw @t8 @t39 @t6049 @t45 @t74)))))))) % 6.62/6.88 (assume @p4855 (forall @t1834 (=> @t6051 (exists @t6050 (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat @t8 @t6049 @t6052 @t662))))) % 6.62/6.88 (assume @p4856 (forall @t1834 (=> @t6051 (exists @t6050 (tptp.c_Fun_Obij__betw @t8 tptp.tc_Nat_Onat @t6049 @t662 @t6052))))) % 6.62/6.88 (assume @p4857 (forall @t5969 (=> @t5968 (tptp.c_Relation_Orefl__on @t39 (tptp.hAPP (tptp.hAPP @t1557 @t199) @t45) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t4227) @t199) @t725))))) % 6.62/6.88 (assume @p4858 (forall (@list @t180 @t200 @t8) (=> @t4287 (= @t6054 @t2805)))) % 6.62/6.88 (assume @p4859 (forall @t4736 (= (tptp.hBOOL (tptp.hAPP @t87 @t6053)) @t4289))) % 6.62/6.88 (assume @p4860 (forall @t4290 (= (tptp.hBOOL (tptp.hAPP @t6053 @t60)) @t4289))) % 6.62/6.88 (assume @p4861 (forall (@list @t180 @t179 @t200 @t8) (=> @t4287 (=> (forall @t7 (=> @t4885 @t1080)) (=> (exists @t669 (tptp.hBOOL (tptp.hAPP @t179 @t668))) @t6054))))) % 6.62/6.88 (assume @p4862 (forall (@list @t180 @t39 @t200 @t8) (=> @t4287 (= (tptp.c_Quotient_OBabs @t8 @t39 @t6053 @t180) @t180)))) % 6.62/6.88 (assume @p4863 (forall (@list @t307 @t39 @t2488 @t60 @t8) (=> (tptp.hBOOL (tptp.hAPP @t87 @t2488)) (= (tptp.hAPP (tptp.c_Quotient_OBabs @t8 @t39 @t2488 @t307) @t60) (tptp.hAPP @t307 @t60))))) % 6.62/6.88 (assume @p4864 (forall (@list @t725 @t2 @t8) (=> @t4815 (=> @t4746 (exists @t1033 (forall @t1248 (= (tptp.hAPP @t2 (tptp.hAPP @t3262 @t1245)) @t1030))))))) % 6.62/6.88 (assume @p4865 (forall @t1770 (=> (forall @t7 (=> @t130 (tptp.hBOOL (tptp.hAPP @t6055 @t1604)))) (tptp.hBOOL (tptp.hAPP @t6055 @t1837))))) % 6.62/6.88 (assume @p4866 (forall (@list @t1 @t2 @t39 @t45 @t74 @t8) (=> @t378 (=> (forall @t7 (=> @t130 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t504 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t504 (tptp.hAPP @t1836 @t2)) (tptp.hAPP @t1836 @t1))))))) % 6.62/6.88 (assume @p4867 (forall @t6072 (=> @t6071 (=> @t6069 (=> (forall @t4040 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4265 (tptp.hAPP @t6068 @t4039)) @t6065)) (forall (@list @t6060 @t6059) (=> @t6064 (=> @t4166 @t6061))))) @t6058))))) % 6.62/6.88 (assume @p4868 (forall (@list @t725 @t6073 @t6074 @t6076 @t4355 @t39 @t8) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4265 (tptp.hAPP @t6078 @t6075)) @t6065)) (=> (not (= @t6077 @t6075)) (not (forall @t4040 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4265 (tptp.hAPP @t6078 @t4039)) @t725)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4265 (tptp.hAPP @t6063 @t6075)) @t6065)))))))))) % 6.62/6.88 (assume @p4869 (forall @t6072 (=> @t6071 (=> @t6058 (=> (forall (@list @t287 @t2207 @t6060 @t6059) (=> @t6064 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4265 (tptp.hAPP (tptp.hAPP @t4264 @t6062) @t6070)) @t6065)) (=> @t6061 @t4166)))) @t6069))))) % 6.62/6.88 (assume @p4870 (forall (@list @t125 @t2 @t3570 @t39 @t3573 @t8) (=> (forall (@list @t6082 @t6080) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 @t6082) @t6080)) @t3573)) (forall (@list @t6081 @t6079) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3930 (tptp.hAPP (tptp.hAPP @t3928 @t6081) @t6079)) @t3570)) (= (tptp.hAPP (tptp.hAPP @t2 @t6082) @t6081) (tptp.hAPP (tptp.hAPP @t2 @t6080) @t6079)))))) @t3596))) % 6.62/6.88 (assume @p4871 (forall (@list @t39 @t2 @t725 @t8) (=> (forall (@list @t206 @t3088) (=> @t6003 (= @t1173 (tptp.hAPP @t2 @t3088)))) @t3923))) % 6.62/6.88 (assume @p4872 (forall (@list @t6083 @t5949 @t372) (= (tptp.c_Lazy__Sequence_Oflat @t372 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t5946 @t5949 @t6083)) (tptp.c_Lazy__Sequence_Oappend @t372 @t5949 (tptp.c_Lazy__Sequence_Oflat @t372 @t6083))))) % 6.62/6.88 (assume @p4873 (forall @t5987 (= @t6084 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1282 @t2449)) @t1080))))) % 6.62/6.88 (assume @p4874 (forall @t1171 (= (tptp.c_Lazy__Sequence_Oflat @t372 (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t5946)) @t5980))) % 6.62/6.88 (assume @p4875 (forall @t5987 (= (tptp.c_List_Olist__all tptp.tc_Nat_Onat @t180 @t5749) @t6084))) % 6.62/6.88 (assume @p4876 (forall @t5987 (= (tptp.c_List_Olist__ex tptp.tc_Nat_Onat @t180 @t5749) (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) @t180) @t1229 @t1228))))) % 6.62/6.88 (assume @p4877 (forall (@list @t2 @t5602 @t8 @t39) (= (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t39 @t8 @t5602) @t2) (tptp.c_Lazy__Sequence_Oflat @t8 (tptp.c_Lazy__Sequence_Omap @t39 @t5880 @t2 @t5602))))) % 6.62/6.88 (assume @p4878 (forall @t4723 (=> @t4713 (=> @t234 (=> (forall @t7 (=> @t144 @t3451)) (= @t657 @t4722)))))) % 6.62/6.88 (assume @p4879 (forall (@list @t5602 @t60 @t2 @t8 @t39) (= (tptp.c_Lazy__Sequence_Omap @t39 @t8 @t2 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t39 @t60 @t5602)) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t8 @t64 (tptp.c_Lazy__Sequence_Omap @t39 @t8 @t2 @t5602))))) % 6.62/6.88 (assume @p4880 (forall @t158 (= (tptp.c_Lazy__Sequence_Omap @t39 @t8 @t2 @t5984) @t5985))) % 6.62/6.88 (assume @p4881 (forall (@list @t1229 @t5602 @t2 @t8 @t39) (= (tptp.c_New__DSequence_Opos__map @t39 @t8 @t2 @t5602 @t1229) (tptp.c_Lazy__Sequence_Omap @t39 @t8 @t2 @t5936)))) % 6.62/6.88 (assume @p4882 (forall @t2025 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6085 @t2024) @t2023)) (=> (tptp.hBOOL (tptp.hAPP @t2733 @t1261)) @t1254)))) % 6.62/6.88 (assume @p4883 (forall @t3011 (tptp.hBOOL (tptp.hAPP @t6086 @t371)))) % 6.62/6.88 (assume @p4884 (forall @t679 (=> @t756 (tptp.hBOOL (tptp.hAPP @t6088 @t1991))))) % 6.62/6.88 (assume @p4885 (forall @t2377 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6085 @t1976) @t1216)))) % 6.62/6.88 (assume @p4886 (forall (@list @t1211 @t1216) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6085 @t1216) @t1211)) (=> @t2027 @t1276)))) % 6.62/6.88 (assume @p4887 (forall @t1309 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6085 @t1308) @t1307)) (=> @t2146 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6085 @t793) @t1211)))))) % 6.62/6.88 (assume @p4888 (forall @t1207 (=> @t2143 (= @t6091 @t6090)))) % 6.62/6.88 (assume @p4889 (forall @t2211 (=> (and @t816 (tptp.class_Rings_Odvd @t39)) (=> @t260 (=> @t352 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd @t39) @t975) @t2928))))))) % 6.62/6.88 (assume @p4890 (forall (@list @t29 @t502 @t149 @t8) (=> (and (tptp.class_Rings_Ocomm__ring @t8) @t6095) (=> (tptp.hBOOL (tptp.hAPP @t6093 @t502)) (forall @t3061 (= (tptp.hBOOL (tptp.hAPP @t6093 (tptp.hAPP @t6094 @t29))) (tptp.hBOOL (tptp.hAPP @t6093 (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP (tptp.hAPP @t274 @t3) (tptp.hAPP (tptp.hAPP @t642 @t1245) @t502))) @t29))))))))) % 6.62/6.88 (assume @p4891 (forall @t596 (=> @t6100 (=> @t3231 (=> @t6099 (= (= @t6097 @t82) (= @t57 @t2107))))))) % 6.62/6.88 (assume @p4892 (forall (@list @t149 @t57 @t82 @t13 @t8) (=> @t6100 (=> @t3231 (=> @t2782 (=> @t6099 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6092 @t82) @t149)) (= (= @t6097 (tptp.hAPP (tptp.hAPP @t6096 @t149) @t82)) (= @t757 @t758))))))))) % 6.62/6.88 (assume @p4893 (forall @t621 (=> @t2605 (=> @t6103 (= (tptp.hAPP @t673 @t6102) @t407))))) % 6.62/6.88 (assume @p4894 (forall @t2061 (=> @t2605 (=> @t6105 (= (tptp.hAPP @t673 (tptp.hAPP @t6101 @t404)) (tptp.hAPP @t2628 @t404)))))) % 6.62/6.88 (assume @p4895 (forall @t621 (=> @t2605 (=> @t6103 (= (tptp.hAPP @t6106 @t403) @t407))))) % 6.62/6.88 (assume @p4896 (forall @t416 (=> @t2605 (=> @t6103 (= (tptp.hAPP @t6106 @t404) (tptp.hAPP (tptp.hAPP @t2603 @t672) @t403)))))) % 6.62/6.88 (assume @p4897 (forall (@list @t2282 @t392 @t371 @t381 @t372) (=> @t2605 (=> @t6109 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6087 @t392) @t2282)) (= (tptp.hAPP (tptp.hAPP @t670 @t6108) (tptp.hAPP (tptp.hAPP @t2603 @t2282) @t392)) (tptp.hAPP (tptp.hAPP @t2603 (tptp.hAPP @t676 @t2282)) @t2900))))))) % 6.62/6.88 (assume @p4898 (forall @t621 (=> @t756 (tptp.hBOOL (tptp.hAPP @t6088 @t674))))) % 6.62/6.88 (assume @p4899 (forall @t621 (=> @t756 (tptp.hBOOL (tptp.hAPP @t6088 @t785))))) % 6.62/6.88 (assume @p4900 (forall @t416 (=> @t756 (=> @t6103 @t6110)))) % 6.62/6.88 (assume @p4901 (forall @t607 (=> @t756 (=> @t6111 @t6110)))) % 6.62/6.88 (assume @p4902 (forall @t612 (=> @t756 (=> @t6103 (=> (tptp.hBOOL (tptp.hAPP @t6104 @t608)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6087 @t761) @t2084))))))) % 6.62/6.88 (assume @p4903 (forall (@list @t1216 @t407 @t403 @t372) (=> (tptp.class_Rings_Odvd @t372) (=> (= @t403 (tptp.hAPP @t671 @t1216)) (tptp.hBOOL (tptp.hAPP @t6112 @t403)))))) % 6.62/6.88 (assume @p4904 (forall @t416 (=> @t756 (=> @t6113 @t6111)))) % 6.62/6.88 (assume @p4905 (forall @t416 (=> @t756 (=> @t6113 @t6114)))) % 6.62/6.88 (assume @p4906 (forall @t615 (=> @t933 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6092 @t2107) @t2106)) @t6115)))) % 6.62/6.88 (assume @p4907 (forall @t617 (=> @t933 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6092 @t759) @t757)) @t6115)))) % 6.62/6.88 (assume @p4908 (forall @t1207 (= @t6091 (or @t2030 @t6090)))) % 6.62/6.88 (assume @p4909 (forall (@list @t1455 @t180 @t8) (=> (and @t6095 @t728) (= (exists @t7 (tptp.hBOOL (tptp.hAPP @t180 (tptp.hAPP (tptp.hAPP @t642 @t1455) @t3)))) (exists @t7 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6092 @t1455) (tptp.hAPP @t6094 @t1985))) @t1080)))))) % 6.62/6.88 (assume @p4910 (forall @t2641 (=> @t68 (= @t6117 @t6116)))) % 6.62/6.88 (assume @p4911 (forall (@list @t13) (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t6085 @t13 @t13) @t6116))) % 6.62/6.88 (assume @p4912 (forall (@list @t82 @t57 @t13) (= (= @t6117 (tptp.hAPP (tptp.hAPP @t2228 @t82) @t2227)) @t2978))) % 6.62/6.88 (assume @p4913 (forall @t2641 (= (= @t2227 @t6122) @t6120))) % 6.62/6.88 (assume @p4914 (forall @t2434 (= (= @t2227 @t6125) @t6124))) % 6.62/6.88 (assume @p4915 (forall @t2641 (= @t6126 @t6120))) % 6.62/6.88 (assume @p4916 (forall @t2434 (= @t6127 @t6124))) % 6.62/6.88 (assume @p4917 (forall @t6128 (=> @t6123 (= (tptp.c_SetInterval_Oord_OgreaterThanLessThan tptp.tc_Nat_Onat @t6121 @t1199 @t1455) @t2227)))) % 6.62/6.88 (assume @p4918 (forall @t2616 (=> @t6118 @t6126))) % 6.62/6.88 (assume @p4919 (forall @t6128 (=> @t6123 @t6127))) % 6.62/6.88 (assume @p4920 (forall @t2641 (= (= @t2227 @t6117) @t6129))) % 6.62/6.88 (assume @p4921 (forall @t2641 (= @t6130 @t6129))) % 6.62/6.88 (assume @p4922 (forall @t2616 (=> (and @t6118 @t6129) @t6130))) % 6.62/6.88 (assume @p4923 (forall @t399 (=> @t3104 (=> @t6109 (= (tptp.hAPP @t6107 @t835) @t6131))))) % 6.62/6.88 (assume @p4924 (forall @t399 (=> @t3104 (=> @t6109 (= (tptp.hAPP (tptp.hAPP @t2603 @t836) @t381) @t6131))))) % 6.62/6.88 (assume @p4925 (forall @t198 (=> @t6134 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6092 @t869) @t109)) @t6133)))) % 6.62/6.88 (assume @p4926 (forall @t198 (=> @t6134 (= (tptp.hBOOL (tptp.hAPP @t6132 @t868)) @t6133)))) % 6.62/6.88 (assume @p4927 (forall @t2452 (= (tptp.hBOOL (tptp.hAPP @t6089 @t1976)) @t2135))) % 6.62/6.88 (assume @p4928 (forall @t621 (=> @t2605 (=> @t6103 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t407 @t403) @t1991))))) % 6.62/6.88 (assume @p4929 (forall @t147 (=> @t6100 (= @t6099 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t57 @t13) @t1985))))) % 6.62/6.88 (assume @p4930 (forall @t596 (=> @t6100 (=> @t6099 (=> (tptp.hBOOL (tptp.hAPP @t6098 @t82)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6092 @t6097) (tptp.hAPP (tptp.hAPP @t6096 @t82) @t13))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6092 @t57) @t82)))))))) % 6.62/6.88 (assume @p4931 (forall @t679 (=> @t756 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6087 @t1991) @t403)) @t2011)))) % 6.62/6.88 (assume @p4932 (forall @t6139 (=> @t2605 (=> @t6138 (=> @t6137 @t6136))))) % 6.62/6.88 (assume @p4933 (forall @t6139 (=> @t2605 (=> @t6136 (=> @t6137 @t6138))))) % 6.62/6.88 (assume @p4934 (forall @t2061 (=> @t2605 (=> @t6105 (= (tptp.c_Divides_Odiv__class_Omod @t372 @t3116 @t404) @t3102))))) % 6.62/6.88 (assume @p4935 (forall (@list @t307 @t1196 @t1199 @t8) (=> @t6100 (=> (tptp.hBOOL (tptp.hAPP @t6140 @t1196)) (= (tptp.hBOOL (tptp.hAPP @t6140 (tptp.c_Divides_Odiv__class_Omod @t8 @t307 @t1196))) (tptp.hBOOL (tptp.hAPP @t6140 @t307))))))) % 6.62/6.88 (assume @p4936 (forall @t416 (=> @t756 (=> @t6103 (=> @t6114 @t6111))))) % 6.62/6.88 (assume @p4937 (forall @t679 (=> @t756 (tptp.hBOOL (tptp.hAPP @t6088 @t403))))) % 6.62/6.88 (assume @p4938 (forall @t1375 (=> @t6144 (not (and @t6143 (not @t6141)))))) % 6.62/6.88 (assume @p4939 (forall @t1298 (=> @t6144 (=> (and (tptp.hBOOL (tptp.hAPP @t6142 @t392)) (not (tptp.hBOOL (tptp.hAPP @t6145 @t381)))) (and (tptp.hBOOL (tptp.hAPP @t6086 @t392)) (not (tptp.hBOOL (tptp.hAPP @t6145 @t371)))))))) % 6.62/6.88 (assume @p4940 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p4941 (forall @t6150 (=> @t6149 (tptp.class_Lattices_Obounded__lattice @t6148)))) % 6.62/6.88 (assume @p4942 (forall @t6150 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6146) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6148)))) % 6.62/6.88 (assume @p4943 (forall @t6150 (=> @t6149 (tptp.class_Lattices_Obounded__lattice__top @t6148)))) % 6.62/6.88 (assume @p4944 (forall @t6150 (=> @t6149 (tptp.class_Lattices_Obounded__lattice__bot @t6148)))) % 6.62/6.88 (assume @p4945 (forall @t6150 (=> @t6151 (tptp.class_Lattices_Osemilattice__sup @t6148)))) % 6.62/6.88 (assume @p4946 (forall @t6150 (=> @t6151 (tptp.class_Lattices_Osemilattice__inf @t6148)))) % 6.62/6.88 (assume @p4947 (forall @t6150 (=> (tptp.class_Lattices_Odistrib__lattice @t6146) (tptp.class_Lattices_Odistrib__lattice @t6148)))) % 6.62/6.88 (assume @p4948 (forall @t6150 (=> (tptp.class_Lattices_Oboolean__algebra @t6146) (tptp.class_Lattices_Oboolean__algebra @t6148)))) % 6.62/6.88 (assume @p4949 (forall @t6150 (=> (tptp.class_Orderings_Opreorder @t6146) (tptp.class_Orderings_Opreorder @t6148)))) % 6.62/6.88 (assume @p4950 (forall @t6154 (=> @t6153 (tptp.class_Finite__Set_Ofinite @t6148)))) % 6.62/6.88 (assume @p4951 (forall @t6150 (=> @t6151 (tptp.class_Lattices_Olattice @t6148)))) % 6.62/6.88 (assume @p4952 (forall @t6150 (=> (tptp.class_Orderings_Oorder @t6146) (tptp.class_Orderings_Oorder @t6148)))) % 6.62/6.88 (assume @p4953 (forall @t6150 (=> (tptp.class_Orderings_Otop @t6146) (tptp.class_Orderings_Otop @t6148)))) % 6.62/6.88 (assume @p4954 (forall @t6150 (=> (tptp.class_Orderings_Oord @t6146) (tptp.class_Orderings_Oord @t6148)))) % 6.62/6.88 (assume @p4955 (forall @t6150 (=> (tptp.class_Orderings_Obot @t6146) (tptp.class_Orderings_Obot @t6148)))) % 6.62/6.88 (assume @p4956 (forall @t6150 (=> (tptp.class_Groups_Ouminus @t6146) (tptp.class_Groups_Ouminus @t6148)))) % 6.62/6.88 (assume @p4957 (forall @t6150 (=> (tptp.class_Groups_Ominus @t6146) (tptp.class_Groups_Ominus @t6148)))) % 6.62/6.88 (assume @p4958 (forall @t6154 (=> @t6156 (tptp.class_Enum_Oenum @t6148)))) % 6.62/6.88 (assume @p4959 (tptp.class_Nat_Osize tptp.tc_Com_Ocom)) % 6.62/6.88 (assume @p4960 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4961 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4962 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4963 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4964 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4965 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4966 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4967 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4968 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4969 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4970 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4971 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4972 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4973 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4974 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4975 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4976 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4977 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4978 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4979 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4980 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4981 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4982 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4983 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4984 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4985 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4986 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4987 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4988 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4989 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4990 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4991 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4992 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4993 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4994 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4995 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4996 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4997 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4998 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p4999 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5000 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5001 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5002 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5003 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5004 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5005 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5006 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5007 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5008 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5009 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5010 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5011 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5012 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5013 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5014 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5015 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5016 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5017 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5018 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5019 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5020 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5021 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5022 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5023 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5024 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5025 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5026 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5027 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5028 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5029 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5030 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5031 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 6.62/6.88 (assume @p5032 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5033 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5034 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5035 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5036 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5037 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5038 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5039 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5040 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5041 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5042 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5043 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5044 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5045 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5046 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5047 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5048 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5049 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5050 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5051 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5052 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5053 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5054 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5055 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5056 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5057 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5058 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5059 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5060 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5061 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5062 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5063 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5064 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5065 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5066 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5067 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5068 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5069 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5070 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5071 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5072 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5073 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5074 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5075 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5076 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5077 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5078 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5079 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5080 (tptp.class_Nat_Osize tptp.tc_Nat_Onat)) % 6.62/6.88 (assume @p5081 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5082 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5083 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5084 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5085 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5086 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5087 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5088 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5089 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5090 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5091 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5092 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5093 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5094 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5095 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5096 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5097 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5098 (tptp.class_Nat_Osize tptp.tc_HOL_Obool)) % 6.62/6.88 (assume @p5099 (tptp.class_Nat_Osize tptp.tc_Com_Ostate)) % 6.62/6.88 (assume @p5100 (forall @t6159 (=> @t6158 (tptp.class_Lazy__Sequence_Osmall__lazy @t6157)))) % 6.62/6.88 (assume @p5101 (forall @t6159 (tptp.class_Nat_Osize @t6157))) % 6.62/6.88 (assume @p5102 (forall @t6154 (=> @t6153 (tptp.class_Finite__Set_Ofinite @t6160)))) % 6.62/6.88 (assume @p5103 (forall @t6154 (=> @t6156 (tptp.class_Enum_Oenum @t6160)))) % 6.62/6.88 (assume @p5104 (forall @t6154 (tptp.class_Nat_Osize @t6160))) % 6.62/6.88 (assume @p5105 (forall @t6159 (=> @t6152 (tptp.class_Finite__Set_Ofinite @t6161)))) % 6.62/6.88 (assume @p5106 (forall @t6159 (=> @t6155 (tptp.class_Enum_Oenum @t6161)))) % 6.62/6.88 (assume @p5107 (forall @t6159 (tptp.class_Nat_Osize @t6161))) % 6.62/6.88 (assume @p5108 (forall @t6154 (tptp.class_Nat_Osize (tptp.tc_Nitpick_Opair__box @t6147 @t6146)))) % 6.62/6.88 (assume @p5109 (forall @t6154 (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t6147) @t6158) (tptp.class_Lazy__Sequence_Osmall__lazy @t6162)))) % 6.62/6.88 (assume @p5110 (forall @t6154 (=> @t6153 (tptp.class_Finite__Set_Ofinite @t6162)))) % 6.62/6.88 (assume @p5111 (forall @t6154 (=> @t6156 (tptp.class_Enum_Oenum @t6162)))) % 6.62/6.88 (assume @p5112 (forall @t6154 (tptp.class_Nat_Osize @t6162))) % 6.62/6.88 (assume @p5113 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Product__Type_Ounit)) % 6.62/6.88 (assume @p5114 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 6.62/6.88 (assume @p5115 (tptp.class_Enum_Oenum tptp.tc_Product__Type_Ounit)) % 6.62/6.88 (assume @p5116 (tptp.class_Nat_Osize tptp.tc_Product__Type_Ounit)) % 6.62/6.88 (assume @p5117 (tptp.class_Nat_Osize tptp.tc_Code__Evaluation_Oterm)) % 6.62/6.88 (assume @p5118 (forall @t6159 (tptp.class_Nat_Osize (tptp.tc_Hoare__Mirabelle_Otriple @t6146)))) % 6.62/6.88 (assume @p5119 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5120 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5121 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5122 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5123 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5124 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5125 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5126 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5127 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5128 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5129 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5130 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5131 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5132 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5133 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5134 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5135 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5136 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5137 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5138 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5139 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5140 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5141 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5142 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5143 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5144 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5145 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5146 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5147 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5148 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5149 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5150 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5151 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5152 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5153 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5154 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5155 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5156 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5157 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5158 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5159 (tptp.class_Rings_Odvd tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5160 (tptp.class_Nat_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 6.62/6.88 (assume @p5161 (forall @t6159 (tptp.class_Nat_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence @t6146)))) % 6.62/6.88 (assume @p5162 (forall (@list @t6163 @t372) (= (tptp.hAPP (tptp.c_COMBI @t372) @t6163) @t6163))) % 6.62/6.88 (assume @p5163 (forall (@list @t6164 @t6163 @t3489 @t372) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t372 @t3489) @t6163) @t6164) @t6163))) % 6.62/6.88 (assume @p5164 (forall (@list @t200 @t179 @t180 @t125 @t8 @t39) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t126 @t180) @t179) @t200) (tptp.hAPP @t180 @t6165)))) % 6.62/6.88 (assume @p5165 (forall @t6167 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t434 @t180) @t179) @t200) (tptp.hAPP @t6166 @t179)))) % 6.62/6.88 (assume @p5166 (forall @t6167 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t39 @t125 @t8) @t180) @t179) @t200) (tptp.hAPP @t6166 @t6165)))) % 6.62/6.88 (assume @p5167 (forall @t2385 (or (not @t6168) @t112))) % 6.62/6.88 (assume @p5168 (forall @t2385 (or @t493 @t6168))) % 6.62/6.88 (assume @p5169 (not (tptp.hBOOL tptp.c_fFalse))) % 6.62/6.88 (assume @p5170 (tptp.hBOOL tptp.c_fTrue)) % 6.62/6.88 (assume @p5171 (forall @t2383 (or (not @t6171) @t6170))) % 6.62/6.88 (assume @p5172 (forall @t2383 (or (not @t6170) @t6171))) % 6.62/6.88 (assume @p5173 (forall @t6175 (or @t6170 @t6174 @t6172))) % 6.62/6.88 (assume @p5174 (forall @t6175 (or @t6176 @t6169))) % 6.62/6.88 (assume @p5175 (forall @t6175 (or @t6176 @t6173))) % 6.62/6.88 (assume @p5176 (forall @t6175 (or @t6170 @t6177))) % 6.62/6.88 (assume @p5177 (forall @t6178 (or @t6174 @t6177))) % 6.62/6.88 (assume @p5178 (forall @t6175 (or (not @t6177) @t6169 @t6173))) % 6.62/6.88 (assume @p5179 (forall @t6175 (or @t6169 @t6179))) % 6.62/6.88 (assume @p5180 (forall @t6178 (or @t6174 @t6179))) % 6.62/6.88 (assume @p5181 (forall @t6175 (or (not @t6179) @t6170 @t6173))) % 6.62/6.88 (assume @p5182 @t6188) % 6.62/6.88 (assume @p5183 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.t_a) tptp.v_F))) % 6.62/6.88 (assume @p5184 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) tptp.v_x) tptp.v_F)))) % 6.62/6.88 (assume @p5185 (=> @t6196 @t6195)) % 6.62/6.88 (assume @p5186 (and @t6198 @t6196)) % 6.62/6.88 (assume @p5187 (not @t6201)) % 6.62/6.88 (assume @p5188 true) % 6.62/6.88 (step @p5189 :rule and_elim :premises (@p5186) :args (0)) % 6.62/6.88 (step @p5190 :rule bool-impl-elim :args (@t6187 @t6186)) % 6.62/6.88 (step @p5191 :rule cong :premises (@p5190) :args (@t6188)) % 6.62/6.88 (step @p5192 :rule eq_resolve :premises (@p5182 @p5191)) % 6.62/6.88 (step @p5193 :rule instantiate :premises (@p5192) :args ((@list tptp.v_x))) % 1.77/6.90 (step @p5194 :rule aci_norm :args ((= (or @t6203 (or @t6202 @t32)) (or @t6203 @t6202 @t32)))) % 1.77/6.90 (step @p5195 :rule bool-impl-elim :args (@t25 @t32)) % 1.77/6.90 (step @p5196 :rule refl :args (@t6203)) % 1.77/6.90 (step @p5197 :rule nary_cong :premises (@p5196 @p5195) :args ((or @t6203 @t33))) % 1.77/6.90 (step @p5198 :rule trans :premises (@p5197 @p5194)) % 1.77/6.90 (step @p5199 :rule bool-impl-elim :args (@t34 @t33)) % 1.77/6.90 (step @p5200 :rule trans :premises (@p5199 @p5198)) % 1.77/6.90 (step @p5201 :rule cong :premises (@p5200) :args (@t36)) % 1.77/6.90 (step @p5202 :rule eq_resolve :premises (@p6 @p5201)) % 1.77/6.90 (step @p5203 :rule instantiate :premises (@p5202) :args ((@list @t6194 @t6199 tptp.v_G tptp.t_b))) % 1.77/6.90 (step @p5204 :rule and_elim :premises (@p5186) :args (1)) % 1.77/6.90 (step @p5205 :rule implies_elim :premises (@p5185)) % 1.77/6.90 (step @p5206 :rule reordering :premises (@p5205) :args ((or @t6195 (not @t6196)))) % 1.77/6.90 (step @p5207 :rule chain_m_resolution :premises (@p5206 @p5204) :args (@t6195 (@list false) (@list @t6196))) % 1.77/6.90 (step @p5208 :rule cnf_or_pos :args (@t6207)) % 1.77/6.90 (step @p5209 :rule reordering :premises (@p5208) :args ((or @t6201 @t6204 @t6206 (not @t6207)))) % 1.77/6.90 (step @p5210 :rule chain_m_resolution :premises (@p5209 @p5187 @p5207 @p5203) :args (@t6206 @t6208 (@list @t6201 @t6195 @t6207))) % 1.77/6.90 (step @p5211 :rule cnf_or_pos :args (@t6210)) % 1.77/6.90 (step @p5212 :rule reordering :premises (@p5211) :args ((or @t6209 @t6205 (not @t6210)))) % 1.77/6.90 (step @p5213 false :rule chain_m_resolution :premises (@p5212 @p5210 @p5193 @p5189) :args (false @t6208 (@list @t6205 @t6210 @t6198))) % 1.77/6.90 ) % 1.77/6.90 % SZS output end Proof % 1.77/6.90 % cvc5 exiting %------------------------------------------------------------------------------